id	sid	tid	token	lemma	pos
ijassa-1585	1	1	adv	adv	PROPN
ijassa-1585	1	2	syst	syst	PROPN
ijassa-1585	1	3	sci	sci	PROPN
ijassa-1585	1	4	appl	appl	PROPN
ijassa-1585	1	5	2024	2024	NUM
ijassa-1585	1	6	;	;	PUNCT
ijassa-1585	1	7	01:1–19	01:1–19	NUM
ijassa-1585	1	8	published	publish	VERB
ijassa-1585	1	9	online	online	ADV
ijassa-1585	1	10	at	at	ADP
ijassa-1585	1	11	https://ijassa.ipu.ru	https://ijassa.ipu.ru	ADV
ijassa-1585	1	12	.	.	PUNCT
ijassa-1585	2	1	copulas	copula	NOUN
ijassa-1585	2	2	and	and	CCONJ
ijassa-1585	2	3	quantiles	quantile	NOUN
ijassa-1585	2	4	in	in	ADP
ijassa-1585	2	5	fork	fork	NOUN
ijassa-1585	2	6	-	-	PUNCT
ijassa-1585	2	7	join	join	NOUN
ijassa-1585	2	8	queueing	queue	VERB
ijassa-1585	2	9	systems	system	NOUN
ijassa-1585	2	10	anastasia	anastasia	PROPN
ijassa-1585	2	11	v.	v.	PROPN
ijassa-1585	2	12	gorbunova1	gorbunova1	PROPN
ijassa-1585	2	13	*	*	PROPN
ijassa-1585	2	14	,	,	PUNCT
ijassa-1585	2	15	alexey	alexey	PROPN
ijassa-1585	2	16	v.	v.	PROPN
ijassa-1585	2	17	lebedev2	lebedev2	PROPN
ijassa-1585	2	18	1v.a	1v.a	NUM
ijassa-1585	2	19	.	.	PUNCT
ijassa-1585	3	1	trapeznikov	trapeznikov	PROPN
ijassa-1585	3	2	institute	institute	PROPN
ijassa-1585	3	3	of	of	ADP
ijassa-1585	3	4	control	control	PROPN
ijassa-1585	3	5	sciences	sciences	PROPN
ijassa-1585	3	6	of	of	ADP
ijassa-1585	3	7	russian	russian	ADJ
ijassa-1585	3	8	academy	academy	PROPN
ijassa-1585	3	9	of	of	ADP
ijassa-1585	3	10	sciences	sciences	PROPN
ijassa-1585	3	11	,	,	PUNCT
ijassa-1585	3	12	moscow	moscow	PROPN
ijassa-1585	3	13	,	,	PUNCT
ijassa-1585	3	14	russia	russia	PROPN
ijassa-1585	3	15	2lomonosov	2lomonosov	NUM
ijassa-1585	3	16	moscow	moscow	PROPN
ijassa-1585	3	17	state	state	PROPN
ijassa-1585	3	18	university	university	PROPN
ijassa-1585	3	19	,	,	PUNCT
ijassa-1585	3	20	moscow	moscow	PROPN
ijassa-1585	3	21	,	,	PUNCT
ijassa-1585	3	22	russia	russia	PROPN
ijassa-1585	3	23	abstract	abstract	NOUN
ijassa-1585	3	24	:	:	PUNCT
ijassa-1585	3	25	the	the	DET
ijassa-1585	3	26	article	article	NOUN
ijassa-1585	3	27	considers	consider	VERB
ijassa-1585	3	28	a	a	DET
ijassa-1585	3	29	classic	classic	ADJ
ijassa-1585	3	30	fork	fork	NOUN
ijassa-1585	3	31	-	-	PUNCT
ijassa-1585	3	32	join	join	NOUN
ijassa-1585	3	33	queueing	queue	VERB
ijassa-1585	3	34	system	system	NOUN
ijassa-1585	3	35	with	with	ADP
ijassa-1585	3	36	a	a	DET
ijassa-1585	3	37	poisson	poisson	NOUN
ijassa-1585	3	38	input	input	NOUN
ijassa-1585	3	39	flow	flow	NOUN
ijassa-1585	3	40	and	and	CCONJ
ijassa-1585	3	41	exponential	exponential	ADJ
ijassa-1585	3	42	service	service	NOUN
ijassa-1585	3	43	times	time	NOUN
ijassa-1585	3	44	on	on	ADP
ijassa-1585	3	45	homogeneous	homogeneous	ADJ
ijassa-1585	3	46	servers	server	NOUN
ijassa-1585	3	47	.	.	PUNCT
ijassa-1585	4	1	when	when	SCONJ
ijassa-1585	4	2	entering	enter	VERB
ijassa-1585	4	3	the	the	DET
ijassa-1585	4	4	system	system	NOUN
ijassa-1585	4	5	,	,	PUNCT
ijassa-1585	4	6	tasks	task	NOUN
ijassa-1585	4	7	are	be	AUX
ijassa-1585	4	8	divided	divide	VERB
ijassa-1585	4	9	into	into	ADP
ijassa-1585	4	10	smaller	small	ADJ
ijassa-1585	4	11	components	component	NOUN
ijassa-1585	4	12	(	(	PUNCT
ijassa-1585	4	13	subtasks	subtask	NOUN
ijassa-1585	4	14	)	)	PUNCT
ijassa-1585	4	15	,	,	PUNCT
ijassa-1585	4	16	the	the	DET
ijassa-1585	4	17	number	number	NOUN
ijassa-1585	4	18	of	of	ADP
ijassa-1585	4	19	which	which	PRON
ijassa-1585	4	20	is	be	AUX
ijassa-1585	4	21	equal	equal	ADJ
ijassa-1585	4	22	to	to	ADP
ijassa-1585	4	23	the	the	DET
ijassa-1585	4	24	number	number	NOUN
ijassa-1585	4	25	of	of	ADP
ijassa-1585	4	26	subsystems	subsystem	NOUN
ijassa-1585	4	27	.	.	PUNCT
ijassa-1585	5	1	then	then	ADV
ijassa-1585	5	2	the	the	DET
ijassa-1585	5	3	subtasks	subtask	NOUN
ijassa-1585	5	4	are	be	AUX
ijassa-1585	5	5	sent	send	VERB
ijassa-1585	5	6	for	for	ADP
ijassa-1585	5	7	service	service	NOUN
ijassa-1585	5	8	to	to	ADP
ijassa-1585	5	9	the	the	DET
ijassa-1585	5	10	corresponding	corresponding	ADJ
ijassa-1585	5	11	subsystems	subsystem	NOUN
ijassa-1585	5	12	,	,	PUNCT
ijassa-1585	5	13	consisting	consist	VERB
ijassa-1585	5	14	of	of	ADP
ijassa-1585	5	15	a	a	DET
ijassa-1585	5	16	storage	storage	NOUN
ijassa-1585	5	17	device	device	NOUN
ijassa-1585	5	18	of	of	ADP
ijassa-1585	5	19	unlimited	unlimited	ADJ
ijassa-1585	5	20	capacity	capacity	NOUN
ijassa-1585	5	21	and	and	CCONJ
ijassa-1585	5	22	one	one	NUM
ijassa-1585	5	23	server	server	NOUN
ijassa-1585	5	24	.	.	PUNCT
ijassa-1585	6	1	the	the	DET
ijassa-1585	6	2	described	describe	VERB
ijassa-1585	6	3	functioning	function	VERB
ijassa-1585	6	4	mechanism	mechanism	NOUN
ijassa-1585	6	5	allows	allow	VERB
ijassa-1585	6	6	,	,	PUNCT
ijassa-1585	6	7	using	use	VERB
ijassa-1585	6	8	fork	fork	NOUN
ijassa-1585	6	9	-	-	PUNCT
ijassa-1585	6	10	join	join	NOUN
ijassa-1585	6	11	systems	system	NOUN
ijassa-1585	6	12	,	,	PUNCT
ijassa-1585	6	13	to	to	PART
ijassa-1585	6	14	simulate	simulate	VERB
ijassa-1585	6	15	processes	process	NOUN
ijassa-1585	6	16	occurring	occur	VERB
ijassa-1585	6	17	in	in	ADP
ijassa-1585	6	18	many	many	ADJ
ijassa-1585	6	19	different	different	ADJ
ijassa-1585	6	20	real	real	ADJ
ijassa-1585	6	21	physical	physical	ADJ
ijassa-1585	6	22	systems	system	NOUN
ijassa-1585	6	23	where	where	SCONJ
ijassa-1585	6	24	tasks	task	NOUN
ijassa-1585	6	25	are	be	AUX
ijassa-1585	6	26	parallelized	parallelize	VERB
ijassa-1585	6	27	.	.	PUNCT
ijassa-1585	7	1	the	the	DET
ijassa-1585	7	2	article	article	NOUN
ijassa-1585	7	3	studies	study	VERB
ijassa-1585	7	4	the	the	DET
ijassa-1585	7	5	dependence	dependence	NOUN
ijassa-1585	7	6	between	between	ADP
ijassa-1585	7	7	the	the	DET
ijassa-1585	7	8	sojourn	sojourn	NOUN
ijassa-1585	7	9	times	time	NOUN
ijassa-1585	7	10	of	of	ADP
ijassa-1585	7	11	subtasks	subtask	NOUN
ijassa-1585	7	12	in	in	ADP
ijassa-1585	7	13	subsystems	subsystem	NOUN
ijassa-1585	7	14	,	,	PUNCT
ijassa-1585	7	15	which	which	PRON
ijassa-1585	7	16	is	be	AUX
ijassa-1585	7	17	at	at	ADP
ijassa-1585	7	18	the	the	DET
ijassa-1585	7	19	same	same	ADJ
ijassa-1585	7	20	time	time	NOUN
ijassa-1585	7	21	the	the	DET
ijassa-1585	7	22	main	main	ADJ
ijassa-1585	7	23	reason	reason	NOUN
ijassa-1585	7	24	for	for	ADP
ijassa-1585	7	25	the	the	DET
ijassa-1585	7	26	complexity	complexity	NOUN
ijassa-1585	7	27	of	of	ADP
ijassa-1585	7	28	analyzing	analyze	VERB
ijassa-1585	7	29	such	such	ADJ
ijassa-1585	7	30	systems	system	NOUN
ijassa-1585	7	31	.	.	PUNCT
ijassa-1585	8	1	an	an	DET
ijassa-1585	8	2	approach	approach	NOUN
ijassa-1585	8	3	is	be	AUX
ijassa-1585	8	4	proposed	propose	VERB
ijassa-1585	8	5	for	for	ADP
ijassa-1585	8	6	determining	determine	VERB
ijassa-1585	8	7	the	the	DET
ijassa-1585	8	8	quantiles	quantile	NOUN
ijassa-1585	8	9	of	of	ADP
ijassa-1585	8	10	the	the	DET
ijassa-1585	8	11	response	response	NOUN
ijassa-1585	8	12	time	time	NOUN
ijassa-1585	8	13	distribution	distribution	NOUN
ijassa-1585	8	14	,	,	PUNCT
ijassa-1585	8	15	while	while	SCONJ
ijassa-1585	8	16	most	most	ADJ
ijassa-1585	8	17	works	work	VERB
ijassa-1585	8	18	in	in	ADP
ijassa-1585	8	19	the	the	DET
ijassa-1585	8	20	field	field	NOUN
ijassa-1585	8	21	of	of	ADP
ijassa-1585	8	22	analysis	analysis	NOUN
ijassa-1585	8	23	of	of	ADP
ijassa-1585	8	24	fork	fork	NOUN
ijassa-1585	8	25	-	-	PUNCT
ijassa-1585	8	26	join	join	NOUN
ijassa-1585	8	27	systems	system	NOUN
ijassa-1585	8	28	are	be	AUX
ijassa-1585	8	29	concentrated	concentrate	VERB
ijassa-1585	8	30	on	on	ADP
ijassa-1585	8	31	obtaining	obtain	VERB
ijassa-1585	8	32	approximations	approximation	NOUN
ijassa-1585	8	33	only	only	ADV
ijassa-1585	8	34	for	for	ADP
ijassa-1585	8	35	the	the	DET
ijassa-1585	8	36	mathematical	mathematical	ADJ
ijassa-1585	8	37	expectation	expectation	NOUN
ijassa-1585	8	38	of	of	ADP
ijassa-1585	8	39	the	the	DET
ijassa-1585	8	40	response	response	NOUN
ijassa-1585	8	41	time	time	NOUN
ijassa-1585	8	42	.	.	PUNCT
ijassa-1585	9	1	in	in	ADP
ijassa-1585	9	2	addition	addition	NOUN
ijassa-1585	9	3	,	,	PUNCT
ijassa-1585	9	4	the	the	DET
ijassa-1585	9	5	approximation	approximation	NOUN
ijassa-1585	9	6	of	of	ADP
ijassa-1585	9	7	the	the	DET
ijassa-1585	9	8	copula	copula	NOUN
ijassa-1585	9	9	of	of	ADP
ijassa-1585	9	10	sojourn	sojourn	NOUN
ijassa-1585	9	11	times	time	NOUN
ijassa-1585	9	12	of	of	ADP
ijassa-1585	9	13	subtasks	subtask	NOUN
ijassa-1585	9	14	(	(	PUNCT
ijassa-1585	9	15	parts	part	NOUN
ijassa-1585	9	16	of	of	ADP
ijassa-1585	9	17	one	one	NUM
ijassa-1585	9	18	task	task	NOUN
ijassa-1585	9	19	)	)	PUNCT
ijassa-1585	9	20	by	by	ADP
ijassa-1585	9	21	the	the	DET
ijassa-1585	9	22	gumbel	gumbel	PROPN
ijassa-1585	9	23	copula	copula	NOUN
ijassa-1585	9	24	and	and	CCONJ
ijassa-1585	9	25	a	a	DET
ijassa-1585	9	26	new	new	ADJ
ijassa-1585	9	27	kendall	kendall	PROPN
ijassa-1585	9	28	’s	’s	PART
ijassa-1585	9	29	correlation	correlation	NOUN
ijassa-1585	9	30	coefficient	coefficient	NOUN
ijassa-1585	9	31	estimation	estimation	NOUN
ijassa-1585	9	32	are	be	AUX
ijassa-1585	9	33	obtained	obtain	VERB
ijassa-1585	9	34	.	.	PUNCT
ijassa-1585	10	1	keywords	keyword	NOUN
ijassa-1585	10	2	:	:	PUNCT
ijassa-1585	10	3	fork	fork	NOUN
ijassa-1585	10	4	-	-	PUNCT
ijassa-1585	10	5	join	join	NOUN
ijassa-1585	10	6	queueing	queue	VERB
ijassa-1585	10	7	system	system	NOUN
ijassa-1585	10	8	,	,	PUNCT
ijassa-1585	10	9	response	response	NOUN
ijassa-1585	10	10	time	time	NOUN
ijassa-1585	10	11	,	,	PUNCT
ijassa-1585	10	12	distribution	distribution	NOUN
ijassa-1585	10	13	quantiles	quantile	NOUN
ijassa-1585	10	14	,	,	PUNCT
ijassa-1585	10	15	correlation	correlation	NOUN
ijassa-1585	10	16	coefficients	coefficient	NOUN
ijassa-1585	10	17	,	,	PUNCT
ijassa-1585	10	18	gumbel	gumbel	PROPN
ijassa-1585	10	19	copula	copula	NOUN
ijassa-1585	10	20	,	,	PUNCT
ijassa-1585	10	21	diagonal	diagonal	ADJ
ijassa-1585	10	22	section	section	NOUN
ijassa-1585	10	23	,	,	PUNCT
ijassa-1585	10	24	simulation	simulation	NOUN
ijassa-1585	10	25	modeling	modeling	NOUN
ijassa-1585	10	26	.	.	PUNCT
ijassa-1585	11	1	1	1	X
ijassa-1585	11	2	.	.	X
ijassa-1585	11	3	introduction	introduction	NOUN
ijassa-1585	11	4	this	this	DET
ijassa-1585	11	5	paper	paper	NOUN
ijassa-1585	11	6	examines	examine	VERB
ijassa-1585	11	7	a	a	DET
ijassa-1585	11	8	classic	classic	ADJ
ijassa-1585	11	9	fork	fork	NOUN
ijassa-1585	11	10	-	-	PUNCT
ijassa-1585	11	11	join	join	NOUN
ijassa-1585	11	12	queueing	queue	VERB
ijassa-1585	11	13	system	system	NOUN
ijassa-1585	11	14	(	(	PUNCT
ijassa-1585	11	15	qs	qs	NOUN
ijassa-1585	11	16	)	)	PUNCT
ijassa-1585	11	17	with	with	ADP
ijassa-1585	11	18	a	a	DET
ijassa-1585	11	19	poisson	poisson	NOUN
ijassa-1585	11	20	input	input	NOUN
ijassa-1585	11	21	flow	flow	NOUN
ijassa-1585	11	22	and	and	CCONJ
ijassa-1585	11	23	exponential	exponential	NOUN
ijassa-1585	11	24	service	service	NOUN
ijassa-1585	11	25	times	time	NOUN
ijassa-1585	11	26	.	.	PUNCT
ijassa-1585	12	1	fork	fork	NOUN
ijassa-1585	12	2	-	-	PUNCT
ijassa-1585	12	3	join	join	NOUN
ijassa-1585	12	4	qs	qs	NOUN
ijassa-1585	12	5	is	be	AUX
ijassa-1585	12	6	a	a	DET
ijassa-1585	12	7	mathematical	mathematical	ADJ
ijassa-1585	12	8	model	model	NOUN
ijassa-1585	12	9	for	for	ADP
ijassa-1585	12	10	many	many	ADJ
ijassa-1585	12	11	real	real	ADJ
ijassa-1585	12	12	-	-	PUNCT
ijassa-1585	12	13	life	life	NOUN
ijassa-1585	12	14	systems	system	NOUN
ijassa-1585	12	15	in	in	ADP
ijassa-1585	12	16	which	which	PRON
ijassa-1585	12	17	tasks	task	NOUN
ijassa-1585	12	18	are	be	AUX
ijassa-1585	12	19	parallelized	parallelize	VERB
ijassa-1585	12	20	.	.	PUNCT
ijassa-1585	13	1	when	when	SCONJ
ijassa-1585	13	2	entering	enter	VERB
ijassa-1585	13	3	the	the	DET
ijassa-1585	13	4	system	system	NOUN
ijassa-1585	13	5	,	,	PUNCT
ijassa-1585	13	6	the	the	DET
ijassa-1585	13	7	task	task	NOUN
ijassa-1585	13	8	is	be	AUX
ijassa-1585	13	9	divided	divide	VERB
ijassa-1585	13	10	(	(	PUNCT
ijassa-1585	13	11	fork	fork	NOUN
ijassa-1585	13	12	point	point	NOUN
ijassa-1585	13	13	)	)	PUNCT
ijassa-1585	13	14	into	into	ADP
ijassa-1585	13	15	a	a	DET
ijassa-1585	13	16	number	number	NOUN
ijassa-1585	13	17	of	of	ADP
ijassa-1585	13	18	subtasks	subtask	NOUN
ijassa-1585	13	19	equal	equal	ADJ
ijassa-1585	13	20	to	to	ADP
ijassa-1585	13	21	the	the	DET
ijassa-1585	13	22	number	number	NOUN
ijassa-1585	13	23	of	of	ADP
ijassa-1585	13	24	subsystems	subsystem	NOUN
ijassa-1585	13	25	k	k	PROPN
ijassa-1585	13	26	≥	≥	NUM
ijassa-1585	13	27	2	2	NUM
ijassa-1585	13	28	.	.	PUNCT
ijassa-1585	14	1	all	all	DET
ijassa-1585	14	2	subsystems	subsystem	NOUN
ijassa-1585	14	3	are	be	AUX
ijassa-1585	14	4	actually	actually	ADV
ijassa-1585	14	5	independent	independent	ADJ
ijassa-1585	14	6	queueing	queueing	NOUN
ijassa-1585	14	7	systems	system	NOUN
ijassa-1585	14	8	with	with	ADP
ijassa-1585	14	9	an	an	DET
ijassa-1585	14	10	infinite	infinite	ADJ
ijassa-1585	14	11	queue	queue	NOUN
ijassa-1585	14	12	and	and	CCONJ
ijassa-1585	14	13	a	a	DET
ijassa-1585	14	14	single	single	ADJ
ijassa-1585	14	15	server	server	NOUN
ijassa-1585	14	16	.	.	PUNCT
ijassa-1585	15	1	each	each	PRON
ijassa-1585	15	2	of	of	ADP
ijassa-1585	15	3	the	the	DET
ijassa-1585	15	4	subtasks	subtask	NOUN
ijassa-1585	15	5	after	after	ADP
ijassa-1585	15	6	entering	enter	VERB
ijassa-1585	15	7	one	one	NUM
ijassa-1585	15	8	of	of	ADP
ijassa-1585	15	9	the	the	DET
ijassa-1585	15	10	subsystems	subsystem	NOUN
ijassa-1585	15	11	is	be	AUX
ijassa-1585	15	12	serviced	service	VERB
ijassa-1585	15	13	there	there	ADV
ijassa-1585	15	14	,	,	PUNCT
ijassa-1585	15	15	and	and	CCONJ
ijassa-1585	15	16	then	then	ADV
ijassa-1585	15	17	enters	enter	VERB
ijassa-1585	15	18	a	a	DET
ijassa-1585	15	19	conditional	conditional	ADJ
ijassa-1585	15	20	synchronization	synchronization	NOUN
ijassa-1585	15	21	buffer	buffer	NOUN
ijassa-1585	15	22	(	(	PUNCT
ijassa-1585	15	23	join	join	NOUN
ijassa-1585	15	24	point	point	NOUN
ijassa-1585	15	25	)	)	PUNCT
ijassa-1585	15	26	,	,	PUNCT
ijassa-1585	15	27	where	where	SCONJ
ijassa-1585	15	28	it	it	PRON
ijassa-1585	15	29	awaits	await	VERB
ijassa-1585	15	30	servicing	servicing	NOUN
ijassa-1585	15	31	of	of	ADP
ijassa-1585	15	32	the	the	DET
ijassa-1585	15	33	remaining	remain	VERB
ijassa-1585	15	34	parts	part	NOUN
ijassa-1585	15	35	of	of	ADP
ijassa-1585	15	36	the	the	DET
ijassa-1585	15	37	task	task	NOUN
ijassa-1585	15	38	.	.	PUNCT
ijassa-1585	16	1	after	after	SCONJ
ijassa-1585	16	2	servicing	servicing	NOUN
ijassa-1585	16	3	of	of	ADP
ijassa-1585	16	4	all	all	DET
ijassa-1585	16	5	subtasks	subtask	NOUN
ijassa-1585	16	6	is	be	AUX
ijassa-1585	16	7	completed	complete	VERB
ijassa-1585	16	8	,	,	PUNCT
ijassa-1585	16	9	the	the	DET
ijassa-1585	16	10	entire	entire	ADJ
ijassa-1585	16	11	task	task	NOUN
ijassa-1585	16	12	is	be	AUX
ijassa-1585	16	13	instantly	instantly	ADV
ijassa-1585	16	14	assembled	assemble	VERB
ijassa-1585	16	15	and	and	CCONJ
ijassa-1585	16	16	can	can	AUX
ijassa-1585	16	17	leave	leave	VERB
ijassa-1585	16	18	the	the	DET
ijassa-1585	16	19	system	system	NOUN
ijassa-1585	16	20	.	.	PUNCT
ijassa-1585	17	1	previously	previously	ADV
ijassa-1585	17	2	,	,	PUNCT
ijassa-1585	17	3	such	such	ADJ
ijassa-1585	17	4	systems	system	NOUN
ijassa-1585	17	5	were	be	AUX
ijassa-1585	17	6	studied	study	VERB
ijassa-1585	17	7	by	by	ADP
ijassa-1585	17	8	the	the	DET
ijassa-1585	17	9	authors	author	NOUN
ijassa-1585	17	10	in	in	ADP
ijassa-1585	17	11	the	the	DET
ijassa-1585	17	12	works	work	NOUN
ijassa-1585	17	13	[	[	X
ijassa-1585	17	14	10	10	NUM
ijassa-1585	17	15	,	,	PUNCT
ijassa-1585	17	16	11	11	NUM
ijassa-1585	17	17	,	,	PUNCT
ijassa-1585	17	18	14	14	NUM
ijassa-1585	17	19	]	]	PUNCT
ijassa-1585	17	20	.	.	PUNCT
ijassa-1585	18	1	this	this	DET
ijassa-1585	18	2	work	work	NOUN
ijassa-1585	18	3	continues	continue	VERB
ijassa-1585	18	4	the	the	DET
ijassa-1585	18	5	article	article	NOUN
ijassa-1585	18	6	[	[	X
ijassa-1585	18	7	11	11	NUM
ijassa-1585	18	8	]	]	PUNCT
ijassa-1585	18	9	,	,	PUNCT
ijassa-1585	18	10	where	where	SCONJ
ijassa-1585	18	11	a	a	DET
ijassa-1585	18	12	study	study	NOUN
ijassa-1585	18	13	began	begin	VERB
ijassa-1585	18	14	on	on	ADP
ijassa-1585	18	15	the	the	DET
ijassa-1585	18	16	dependence	dependence	NOUN
ijassa-1585	18	17	of	of	ADP
ijassa-1585	18	18	the	the	DET
ijassa-1585	18	19	sojourn	sojourn	NOUN
ijassa-1585	18	20	times	time	NOUN
ijassa-1585	18	21	of	of	ADP
ijassa-1585	18	22	subtasks	subtask	NOUN
ijassa-1585	18	23	(	(	PUNCT
ijassa-1585	18	24	parts	part	NOUN
ijassa-1585	18	25	of	of	ADP
ijassa-1585	18	26	one	one	NUM
ijassa-1585	18	27	task	task	NOUN
ijassa-1585	18	28	)	)	PUNCT
ijassa-1585	18	29	.	.	PUNCT
ijassa-1585	19	1	the	the	DET
ijassa-1585	19	2	analysis	analysis	NOUN
ijassa-1585	19	3	of	of	ADP
ijassa-1585	19	4	this	this	DET
ijassa-1585	19	5	system	system	NOUN
ijassa-1585	19	6	,	,	PUNCT
ijassa-1585	19	7	but	but	CCONJ
ijassa-1585	19	8	with	with	ADP
ijassa-1585	19	9	a	a	DET
ijassa-1585	19	10	more	more	ADV
ijassa-1585	19	11	complex	complex	ADJ
ijassa-1585	19	12	architecture	architecture	NOUN
ijassa-1585	19	13	,	,	PUNCT
ijassa-1585	19	14	can	can	AUX
ijassa-1585	19	15	be	be	AUX
ijassa-1585	19	16	found	find	VERB
ijassa-1585	19	17	,	,	PUNCT
ijassa-1585	19	18	for	for	ADP
ijassa-1585	19	19	example	example	NOUN
ijassa-1585	19	20	,	,	PUNCT
ijassa-1585	19	21	in	in	ADP
ijassa-1585	19	22	one	one	NUM
ijassa-1585	19	23	of	of	ADP
ijassa-1585	19	24	the	the	DET
ijassa-1585	19	25	latest	late	ADJ
ijassa-1585	19	26	work	work	NOUN
ijassa-1585	19	27	[	[	X
ijassa-1585	19	28	12	12	NUM
ijassa-1585	19	29	]	]	PUNCT
ijassa-1585	19	30	.	.	PUNCT
ijassa-1585	20	1	the	the	DET
ijassa-1585	20	2	first	first	ADJ
ijassa-1585	20	3	publications	publication	NOUN
ijassa-1585	20	4	aimed	aim	VERB
ijassa-1585	20	5	at	at	ADP
ijassa-1585	20	6	studying	study	VERB
ijassa-1585	20	7	the	the	DET
ijassa-1585	20	8	performance	performance	NOUN
ijassa-1585	20	9	characteristics	characteristic	NOUN
ijassa-1585	20	10	of	of	ADP
ijassa-1585	20	11	mathematical	mathematical	ADJ
ijassa-1585	20	12	models	model	NOUN
ijassa-1585	20	13	of	of	ADP
ijassa-1585	20	14	fork	fork	NOUN
ijassa-1585	20	15	-	-	PUNCT
ijassa-1585	20	16	join	join	VERB
ijassa-1585	20	17	qs	qs	ADP
ijassa-1585	20	18	and	and	CCONJ
ijassa-1585	20	19	similar	similar	ADJ
ijassa-1585	20	20	systems	system	NOUN
ijassa-1585	20	21	began	begin	VERB
ijassa-1585	20	22	to	to	PART
ijassa-1585	20	23	appear	appear	VERB
ijassa-1585	20	24	in	in	ADP
ijassa-1585	20	25	the	the	DET
ijassa-1585	20	26	second	second	ADJ
ijassa-1585	20	27	half	half	NOUN
ijassa-1585	20	28	of	of	ADP
ijassa-1585	20	29	the	the	DET
ijassa-1585	20	30	20th	20th	ADJ
ijassa-1585	20	31	century	century	NOUN
ijassa-1585	20	32	.	.	PUNCT
ijassa-1585	21	1	then	then	ADV
ijassa-1585	21	2	research	research	NOUN
ijassa-1585	21	3	activity	activity	NOUN
ijassa-1585	21	4	decreased	decrease	VERB
ijassa-1585	21	5	somewhat	somewhat	ADV
ijassa-1585	21	6	.	.	PUNCT
ijassa-1585	22	1	however	however	ADV
ijassa-1585	22	2	,	,	PUNCT
ijassa-1585	22	3	currently	currently	ADV
ijassa-1585	22	4	there	there	PRON
ijassa-1585	22	5	is	be	VERB
ijassa-1585	22	6	a	a	DET
ijassa-1585	22	7	new	new	ADJ
ijassa-1585	22	8	round	round	NOUN
ijassa-1585	22	9	of	of	ADP
ijassa-1585	22	10	interest	interest	NOUN
ijassa-1585	22	11	in	in	ADP
ijassa-1585	22	12	the	the	DET
ijassa-1585	22	13	analysis	analysis	NOUN
ijassa-1585	22	14	of	of	ADP
ijassa-1585	22	15	fork	fork	NOUN
ijassa-1585	22	16	-	-	PUNCT
ijassa-1585	22	17	join	join	VERB
ijassa-1585	22	18	such	such	ADJ
ijassa-1585	22	19	systems	system	NOUN
ijassa-1585	22	20	,	,	PUNCT
ijassa-1585	22	21	especially	especially	ADV
ijassa-1585	22	22	in	in	ADP
ijassa-1585	22	23	the	the	DET
ijassa-1585	22	24	field	field	NOUN
ijassa-1585	22	25	of	of	ADP
ijassa-1585	22	26	modeling	model	VERB
ijassa-1585	22	27	information	information	NOUN
ijassa-1585	22	28	systems	system	NOUN
ijassa-1585	22	29	and	and	CCONJ
ijassa-1585	22	30	the	the	DET
ijassa-1585	22	31	processes	process	NOUN
ijassa-1585	22	32	occurring	occur	VERB
ijassa-1585	22	33	in	in	ADP
ijassa-1585	22	34	them	they	PRON
ijassa-1585	22	35	.	.	PUNCT
ijassa-1585	23	1	one	one	NUM
ijassa-1585	23	2	of	of	ADP
ijassa-1585	23	3	the	the	DET
ijassa-1585	23	4	reasons	reason	NOUN
ijassa-1585	23	5	∗corresponding	∗corresponde	VERB
ijassa-1585	23	6	author	author	NOUN
ijassa-1585	23	7	:	:	PUNCT
ijassa-1585	23	8	avgorbunova@list.ru	avgorbunova@list.ru	PROPN
ijassa-1585	23	9	2	2	NUM
ijassa-1585	23	10	a.v	a.v	PROPN
ijassa-1585	23	11	.	.	PROPN
ijassa-1585	23	12	gorbunova	gorbunova	PROPN
ijassa-1585	23	13	,	,	PUNCT
ijassa-1585	23	14	a.v	a.v	PROPN
ijassa-1585	23	15	.	.	PROPN
ijassa-1585	23	16	lebedev	lebedev	PROPN
ijassa-1585	23	17	for	for	ADP
ijassa-1585	23	18	this	this	DET
ijassa-1585	23	19	situation	situation	NOUN
ijassa-1585	23	20	is	be	AUX
ijassa-1585	23	21	the	the	DET
ijassa-1585	23	22	growing	grow	VERB
ijassa-1585	23	23	popularity	popularity	NOUN
ijassa-1585	23	24	of	of	ADP
ijassa-1585	23	25	data	datum	NOUN
ijassa-1585	23	26	-	-	PUNCT
ijassa-1585	23	27	intensive	intensive	ADJ
ijassa-1585	23	28	applications	application	NOUN
ijassa-1585	23	29	.	.	PUNCT
ijassa-1585	24	1	among	among	ADP
ijassa-1585	24	2	the	the	DET
ijassa-1585	24	3	basic	basic	ADJ
ijassa-1585	24	4	principles	principle	NOUN
ijassa-1585	24	5	of	of	ADP
ijassa-1585	24	6	the	the	DET
ijassa-1585	24	7	functioning	functioning	NOUN
ijassa-1585	24	8	of	of	ADP
ijassa-1585	24	9	high	high	ADJ
ijassa-1585	24	10	-	-	PUNCT
ijassa-1585	24	11	performance	performance	NOUN
ijassa-1585	24	12	computing	computing	NOUN
ijassa-1585	24	13	environments	environment	NOUN
ijassa-1585	24	14	the	the	DET
ijassa-1585	24	15	parallel	parallel	ADJ
ijassa-1585	24	16	data	datum	NOUN
ijassa-1585	24	17	processing	processing	NOUN
ijassa-1585	24	18	,	,	PUNCT
ijassa-1585	24	19	i.e.	i.e.	X
ijassa-1585	24	20	the	the	DET
ijassa-1585	24	21	simultaneous	simultaneous	ADJ
ijassa-1585	24	22	execution	execution	NOUN
ijassa-1585	24	23	of	of	ADP
ijassa-1585	24	24	several	several	ADJ
ijassa-1585	24	25	operations	operation	NOUN
ijassa-1585	24	26	,	,	PUNCT
ijassa-1585	24	27	commands	command	NOUN
ijassa-1585	24	28	or	or	CCONJ
ijassa-1585	24	29	actions	action	NOUN
ijassa-1585	24	30	,	,	PUNCT
ijassa-1585	24	31	is	be	AUX
ijassa-1585	24	32	distinguished	distinguish	VERB
ijassa-1585	24	33	.	.	PUNCT
ijassa-1585	25	1	for	for	ADP
ijassa-1585	25	2	example	example	NOUN
ijassa-1585	25	3	,	,	PUNCT
ijassa-1585	25	4	one	one	NUM
ijassa-1585	25	5	of	of	ADP
ijassa-1585	25	6	the	the	DET
ijassa-1585	25	7	main	main	ADJ
ijassa-1585	25	8	big	big	ADJ
ijassa-1585	25	9	data	datum	NOUN
ijassa-1585	25	10	technologies	technology	NOUN
ijassa-1585	25	11	from	from	ADP
ijassa-1585	25	12	google	google	PROPN
ijassa-1585	25	13	is	be	AUX
ijassa-1585	25	14	called	call	VERB
ijassa-1585	25	15	mapreduce	mapreduce	NOUN
ijassa-1585	25	16	,	,	PUNCT
ijassa-1585	25	17	the	the	DET
ijassa-1585	25	18	essence	essence	NOUN
ijassa-1585	25	19	of	of	ADP
ijassa-1585	25	20	which	which	PRON
ijassa-1585	25	21	is	be	AUX
ijassa-1585	25	22	to	to	PART
ijassa-1585	25	23	divide	divide	VERB
ijassa-1585	25	24	information	information	NOUN
ijassa-1585	25	25	flows	flow	NOUN
ijassa-1585	25	26	into	into	ADP
ijassa-1585	25	27	parts	part	NOUN
ijassa-1585	25	28	,	,	PUNCT
ijassa-1585	25	29	process	process	VERB
ijassa-1585	25	30	them	they	PRON
ijassa-1585	25	31	in	in	ADP
ijassa-1585	25	32	parallel	parallel	ADJ
ijassa-1585	25	33	and	and	CCONJ
ijassa-1585	25	34	further	far	ADV
ijassa-1585	25	35	combine	combine	VERB
ijassa-1585	25	36	the	the	DET
ijassa-1585	25	37	results	result	NOUN
ijassa-1585	25	38	obtained	obtain	VERB
ijassa-1585	25	39	.	.	PUNCT
ijassa-1585	26	1	this	this	PRON
ijassa-1585	26	2	allows	allow	VERB
ijassa-1585	26	3	you	you	PRON
ijassa-1585	26	4	to	to	PART
ijassa-1585	26	5	significantly	significantly	ADV
ijassa-1585	26	6	increase	increase	VERB
ijassa-1585	26	7	the	the	DET
ijassa-1585	26	8	performance	performance	NOUN
ijassa-1585	26	9	of	of	ADP
ijassa-1585	26	10	relevant	relevant	ADJ
ijassa-1585	26	11	applications	application	NOUN
ijassa-1585	26	12	and	and	CCONJ
ijassa-1585	26	13	at	at	ADP
ijassa-1585	26	14	the	the	DET
ijassa-1585	26	15	same	same	ADJ
ijassa-1585	26	16	time	time	NOUN
ijassa-1585	26	17	reduce	reduce	VERB
ijassa-1585	26	18	the	the	DET
ijassa-1585	26	19	time	time	NOUN
ijassa-1585	26	20	spent	spend	VERB
ijassa-1585	26	21	on	on	ADP
ijassa-1585	26	22	processing	process	VERB
ijassa-1585	26	23	big	big	ADJ
ijassa-1585	26	24	data	datum	NOUN
ijassa-1585	26	25	,	,	PUNCT
ijassa-1585	26	26	the	the	DET
ijassa-1585	26	27	volume	volume	NOUN
ijassa-1585	26	28	of	of	ADP
ijassa-1585	26	29	which	which	PRON
ijassa-1585	26	30	continues	continue	VERB
ijassa-1585	26	31	to	to	PART
ijassa-1585	26	32	increase	increase	VERB
ijassa-1585	26	33	and	and	CCONJ
ijassa-1585	26	34	,	,	PUNCT
ijassa-1585	26	35	according	accord	VERB
ijassa-1585	26	36	to	to	ADP
ijassa-1585	26	37	idc	idc	PROPN
ijassa-1585	26	38	(	(	PUNCT
ijassa-1585	26	39	international	international	ADJ
ijassa-1585	26	40	data	data	NOUN
ijassa-1585	26	41	corporation	corporation	PROPN
ijassa-1585	26	42	)	)	PUNCT
ijassa-1585	26	43	forecasts	forecast	NOUN
ijassa-1585	26	44	,	,	PUNCT
ijassa-1585	26	45	and	and	CCONJ
ijassa-1585	26	46	can	can	AUX
ijassa-1585	26	47	reach	reach	VERB
ijassa-1585	26	48	175	175	NUM
ijassa-1585	26	49	zettabytes	zettabyte	NOUN
ijassa-1585	26	50	by	by	ADP
ijassa-1585	26	51	2025	2025	NUM
ijassa-1585	26	52	[	[	X
ijassa-1585	26	53	25	25	NUM
ijassa-1585	26	54	,	,	PUNCT
ijassa-1585	26	55	30	30	NUM
ijassa-1585	26	56	,	,	PUNCT
ijassa-1585	26	57	31	31	NUM
ijassa-1585	26	58	,	,	PUNCT
ijassa-1585	26	59	34	34	NUM
ijassa-1585	26	60	]	]	PUNCT
ijassa-1585	26	61	.	.	PUNCT
ijassa-1585	27	1	of	of	ADP
ijassa-1585	27	2	course	course	NOUN
ijassa-1585	27	3	,	,	PUNCT
ijassa-1585	27	4	the	the	DET
ijassa-1585	27	5	scope	scope	NOUN
ijassa-1585	27	6	of	of	ADP
ijassa-1585	27	7	application	application	NOUN
ijassa-1585	27	8	of	of	ADP
ijassa-1585	27	9	fork	fork	NOUN
ijassa-1585	27	10	-	-	PUNCT
ijassa-1585	27	11	join	join	NOUN
ijassa-1585	27	12	models	model	NOUN
ijassa-1585	27	13	is	be	AUX
ijassa-1585	27	14	not	not	PART
ijassa-1585	27	15	limited	limit	VERB
ijassa-1585	27	16	only	only	ADV
ijassa-1585	27	17	to	to	ADP
ijassa-1585	27	18	information	information	NOUN
ijassa-1585	27	19	and	and	CCONJ
ijassa-1585	27	20	computing	computing	NOUN
ijassa-1585	27	21	systems	system	NOUN
ijassa-1585	27	22	.	.	PUNCT
ijassa-1585	28	1	issues	issue	NOUN
ijassa-1585	28	2	of	of	ADP
ijassa-1585	28	3	optimizing	optimize	VERB
ijassa-1585	28	4	processes	process	NOUN
ijassa-1585	28	5	in	in	ADP
ijassa-1585	28	6	production	production	NOUN
ijassa-1585	28	7	systems	system	NOUN
ijassa-1585	28	8	(	(	PUNCT
ijassa-1585	28	9	for	for	ADP
ijassa-1585	28	10	example	example	NOUN
ijassa-1585	28	11	,	,	PUNCT
ijassa-1585	28	12	assembling	assemble	VERB
ijassa-1585	28	13	orders	order	NOUN
ijassa-1585	28	14	in	in	ADP
ijassa-1585	28	15	warehouse	warehouse	NOUN
ijassa-1585	28	16	systems	system	NOUN
ijassa-1585	28	17	,	,	PUNCT
ijassa-1585	28	18	manufacturing	manufacture	VERB
ijassa-1585	28	19	multi	multi	ADJ
ijassa-1585	28	20	-	-	ADJ
ijassa-1585	28	21	component	component	ADJ
ijassa-1585	28	22	products	product	NOUN
ijassa-1585	28	23	)	)	PUNCT
ijassa-1585	28	24	or	or	CCONJ
ijassa-1585	28	25	improving	improve	VERB
ijassa-1585	28	26	the	the	DET
ijassa-1585	28	27	efficiency	efficiency	NOUN
ijassa-1585	28	28	of	of	ADP
ijassa-1585	28	29	organizing	organize	VERB
ijassa-1585	28	30	the	the	DET
ijassa-1585	28	31	process	process	NOUN
ijassa-1585	28	32	of	of	ADP
ijassa-1585	28	33	patient	patient	ADJ
ijassa-1585	28	34	stay	stay	NOUN
ijassa-1585	28	35	in	in	ADP
ijassa-1585	28	36	medical	medical	ADJ
ijassa-1585	28	37	institutions(and	institutions(and	NOUN
ijassa-1585	28	38	etc	etc	X
ijassa-1585	28	39	.	.	PUNCT
ijassa-1585	28	40	)	)	PUNCT
ijassa-1585	28	41	continue	continue	VERB
ijassa-1585	28	42	to	to	PART
ijassa-1585	28	43	be	be	AUX
ijassa-1585	28	44	in	in	ADP
ijassa-1585	28	45	demand	demand	NOUN
ijassa-1585	28	46	to	to	ADP
ijassa-1585	28	47	this	this	DET
ijassa-1585	28	48	day	day	NOUN
ijassa-1585	29	1	[	[	X
ijassa-1585	29	2	1–3	1–3	NOUN
ijassa-1585	29	3	,	,	PUNCT
ijassa-1585	29	4	9	9	NUM
ijassa-1585	29	5	,	,	PUNCT
ijassa-1585	29	6	18	18	NUM
ijassa-1585	29	7	,	,	PUNCT
ijassa-1585	29	8	22	22	NUM
ijassa-1585	29	9	,	,	PUNCT
ijassa-1585	29	10	32	32	NUM
ijassa-1585	29	11	]	]	PUNCT
ijassa-1585	29	12	.	.	PUNCT
ijassa-1585	30	1	another	another	DET
ijassa-1585	30	2	reason	reason	NOUN
ijassa-1585	30	3	for	for	ADP
ijassa-1585	30	4	the	the	DET
ijassa-1585	30	5	actualization	actualization	NOUN
ijassa-1585	30	6	of	of	ADP
ijassa-1585	30	7	research	research	NOUN
ijassa-1585	30	8	on	on	ADP
ijassa-1585	30	9	fork	fork	NOUN
ijassa-1585	30	10	-	-	PUNCT
ijassa-1585	30	11	join	join	NOUN
ijassa-1585	30	12	systems	system	NOUN
ijassa-1585	30	13	is	be	AUX
ijassa-1585	30	14	the	the	DET
ijassa-1585	30	15	emergence	emergence	NOUN
ijassa-1585	30	16	of	of	ADP
ijassa-1585	30	17	new	new	ADJ
ijassa-1585	30	18	methods	method	NOUN
ijassa-1585	30	19	and	and	CCONJ
ijassa-1585	30	20	approaches	approach	NOUN
ijassa-1585	30	21	to	to	ADP
ijassa-1585	30	22	the	the	DET
ijassa-1585	30	23	analysis	analysis	NOUN
ijassa-1585	30	24	of	of	ADP
ijassa-1585	30	25	complex	complex	ADJ
ijassa-1585	30	26	queueing	queueing	NOUN
ijassa-1585	30	27	systems	system	NOUN
ijassa-1585	30	28	,	,	PUNCT
ijassa-1585	30	29	in	in	ADP
ijassa-1585	30	30	particular	particular	ADJ
ijassa-1585	30	31	,	,	PUNCT
ijassa-1585	30	32	an	an	DET
ijassa-1585	30	33	approach	approach	NOUN
ijassa-1585	30	34	based	base	VERB
ijassa-1585	30	35	on	on	ADP
ijassa-1585	30	36	the	the	DET
ijassa-1585	30	37	use	use	NOUN
ijassa-1585	30	38	of	of	ADP
ijassa-1585	30	39	machine	machine	NOUN
ijassa-1585	30	40	learning	learn	VERB
ijassa-1585	30	41	methods	method	NOUN
ijassa-1585	30	42	and	and	CCONJ
ijassa-1585	30	43	its	its	PRON
ijassa-1585	30	44	various	various	ADJ
ijassa-1585	30	45	modifications	modification	NOUN
ijassa-1585	31	1	[	[	X
ijassa-1585	31	2	4–7	4–7	X
ijassa-1585	31	3	,	,	PUNCT
ijassa-1585	31	4	19,27,28,35	19,27,28,35	NUM
ijassa-1585	31	5	]	]	PUNCT
ijassa-1585	31	6	.	.	PUNCT
ijassa-1585	32	1	in	in	ADP
ijassa-1585	32	2	this	this	DET
ijassa-1585	32	3	case	case	NOUN
ijassa-1585	32	4	,	,	PUNCT
ijassa-1585	32	5	we	we	PRON
ijassa-1585	32	6	are	be	AUX
ijassa-1585	32	7	talking	talk	VERB
ijassa-1585	32	8	about	about	ADP
ijassa-1585	32	9	the	the	DET
ijassa-1585	32	10	further	further	ADJ
ijassa-1585	32	11	development	development	NOUN
ijassa-1585	32	12	of	of	ADP
ijassa-1585	32	13	this	this	DET
ijassa-1585	32	14	approach	approach	NOUN
ijassa-1585	32	15	and	and	CCONJ
ijassa-1585	32	16	the	the	DET
ijassa-1585	32	17	inclusion	inclusion	NOUN
ijassa-1585	32	18	of	of	ADP
ijassa-1585	32	19	graphical	graphical	ADJ
ijassa-1585	32	20	analysis	analysis	NOUN
ijassa-1585	32	21	and	and	CCONJ
ijassa-1585	32	22	optimization	optimization	NOUN
ijassa-1585	32	23	methods	method	NOUN
ijassa-1585	32	24	in	in	ADP
ijassa-1585	32	25	its	its	PRON
ijassa-1585	32	26	composition	composition	NOUN
ijassa-1585	32	27	.	.	PUNCT
ijassa-1585	33	1	despite	despite	SCONJ
ijassa-1585	33	2	the	the	DET
ijassa-1585	33	3	apparent	apparent	ADJ
ijassa-1585	33	4	simplicity	simplicity	NOUN
ijassa-1585	33	5	of	of	ADP
ijassa-1585	33	6	operation	operation	NOUN
ijassa-1585	33	7	,	,	PUNCT
ijassa-1585	33	8	the	the	DET
ijassa-1585	33	9	study	study	NOUN
ijassa-1585	33	10	of	of	ADP
ijassa-1585	33	11	fork	fork	NOUN
ijassa-1585	33	12	-	-	PUNCT
ijassa-1585	33	13	join	join	NOUN
ijassa-1585	33	14	qs	qs	NOUN
ijassa-1585	33	15	is	be	AUX
ijassa-1585	33	16	one	one	NUM
ijassa-1585	33	17	of	of	ADP
ijassa-1585	33	18	the	the	DET
ijassa-1585	33	19	most	most	ADV
ijassa-1585	33	20	difficult	difficult	ADJ
ijassa-1585	33	21	problems	problem	NOUN
ijassa-1585	33	22	to	to	PART
ijassa-1585	33	23	solve	solve	VERB
ijassa-1585	33	24	.	.	PUNCT
ijassa-1585	34	1	the	the	DET
ijassa-1585	34	2	main	main	ADJ
ijassa-1585	34	3	reason	reason	NOUN
ijassa-1585	34	4	for	for	ADP
ijassa-1585	34	5	the	the	DET
ijassa-1585	34	6	complexity	complexity	NOUN
ijassa-1585	34	7	lies	lie	VERB
ijassa-1585	34	8	in	in	ADP
ijassa-1585	34	9	the	the	DET
ijassa-1585	34	10	commonality	commonality	NOUN
ijassa-1585	34	11	of	of	ADP
ijassa-1585	34	12	the	the	DET
ijassa-1585	34	13	moments	moment	NOUN
ijassa-1585	34	14	of	of	ADP
ijassa-1585	34	15	appearance	appearance	NOUN
ijassa-1585	34	16	of	of	ADP
ijassa-1585	34	17	subtasks	subtask	NOUN
ijassa-1585	34	18	in	in	ADP
ijassa-1585	34	19	the	the	DET
ijassa-1585	34	20	subsystems	subsystem	NOUN
ijassa-1585	34	21	,	,	PUNCT
ijassa-1585	34	22	which	which	PRON
ijassa-1585	34	23	makes	make	VERB
ijassa-1585	34	24	their	their	PRON
ijassa-1585	34	25	sojourn	sojourn	NOUN
ijassa-1585	34	26	times	time	NOUN
ijassa-1585	34	27	dependent	dependent	ADJ
ijassa-1585	34	28	random	random	ADJ
ijassa-1585	34	29	variables	variable	NOUN
ijassa-1585	34	30	.	.	PUNCT
ijassa-1585	35	1	this	this	PRON
ijassa-1585	35	2	is	be	AUX
ijassa-1585	35	3	the	the	DET
ijassa-1585	35	4	main	main	ADJ
ijassa-1585	35	5	difference	difference	NOUN
ijassa-1585	35	6	between	between	ADP
ijassa-1585	35	7	a	a	DET
ijassa-1585	35	8	fork	fork	NOUN
ijassa-1585	35	9	-	-	PUNCT
ijassa-1585	35	10	join	join	NOUN
ijassa-1585	35	11	system	system	NOUN
ijassa-1585	35	12	and	and	CCONJ
ijassa-1585	35	13	simply	simply	ADV
ijassa-1585	35	14	parallel	parallel	VERB
ijassa-1585	35	15	operating	operate	VERB
ijassa-1585	35	16	qss	qss	PROPN
ijassa-1585	35	17	of	of	ADP
ijassa-1585	35	18	the	the	DET
ijassa-1585	35	19	same	same	ADJ
ijassa-1585	35	20	type	type	NOUN
ijassa-1585	35	21	as	as	ADP
ijassa-1585	35	22	the	the	DET
ijassa-1585	35	23	fork	fork	NOUN
ijassa-1585	35	24	-	-	PUNCT
ijassa-1585	35	25	join	join	VERB
ijassa-1585	35	26	qs	qs	NOUN
ijassa-1585	35	27	subsystems	subsystem	NOUN
ijassa-1585	35	28	.	.	PUNCT
ijassa-1585	36	1	therefore	therefore	ADV
ijassa-1585	36	2	,	,	PUNCT
ijassa-1585	36	3	accurate	accurate	ADJ
ijassa-1585	36	4	results	result	NOUN
ijassa-1585	36	5	were	be	AUX
ijassa-1585	36	6	obtained	obtain	VERB
ijassa-1585	36	7	only	only	ADV
ijassa-1585	36	8	for	for	ADP
ijassa-1585	36	9	the	the	DET
ijassa-1585	36	10	average	average	ADJ
ijassa-1585	36	11	response	response	NOUN
ijassa-1585	36	12	time	time	NOUN
ijassa-1585	36	13	in	in	ADP
ijassa-1585	36	14	the	the	DET
ijassa-1585	36	15	case	case	NOUN
ijassa-1585	36	16	of	of	ADP
ijassa-1585	36	17	two	two	NUM
ijassa-1585	36	18	subsystems	subsystem	NOUN
ijassa-1585	36	19	with	with	ADP
ijassa-1585	36	20	a	a	DET
ijassa-1585	36	21	poisson	poisson	NOUN
ijassa-1585	36	22	input	input	NOUN
ijassa-1585	36	23	flow	flow	NOUN
ijassa-1585	36	24	and	and	CCONJ
ijassa-1585	36	25	exponential	exponential	NOUN
ijassa-1585	36	26	service	service	NOUN
ijassa-1585	36	27	times	time	NOUN
ijassa-1585	36	28	[	[	X
ijassa-1585	36	29	24	24	NUM
ijassa-1585	36	30	]	]	PUNCT
ijassa-1585	36	31	.	.	PUNCT
ijassa-1585	37	1	for	for	ADP
ijassa-1585	37	2	other	other	ADJ
ijassa-1585	37	3	variants	variant	NOUN
ijassa-1585	37	4	of	of	ADP
ijassa-1585	37	5	fork	fork	NOUN
ijassa-1585	37	6	-	-	PUNCT
ijassa-1585	37	7	join	join	NOUN
ijassa-1585	37	8	qs	qs	PROPN
ijassa-1585	37	9	architectures	architecture	NOUN
ijassa-1585	37	10	,	,	PUNCT
ijassa-1585	37	11	which	which	PRON
ijassa-1585	37	12	imply	imply	VERB
ijassa-1585	37	13	,	,	PUNCT
ijassa-1585	37	14	for	for	ADP
ijassa-1585	37	15	example	example	NOUN
ijassa-1585	37	16	,	,	PUNCT
ijassa-1585	37	17	an	an	DET
ijassa-1585	37	18	increase	increase	NOUN
ijassa-1585	37	19	in	in	ADP
ijassa-1585	37	20	the	the	DET
ijassa-1585	37	21	number	number	NOUN
ijassa-1585	37	22	of	of	ADP
ijassa-1585	37	23	subsystems	subsystem	NOUN
ijassa-1585	37	24	or	or	CCONJ
ijassa-1585	37	25	servers	server	NOUN
ijassa-1585	37	26	in	in	ADP
ijassa-1585	37	27	them	they	PRON
ijassa-1585	37	28	,	,	PUNCT
ijassa-1585	37	29	limited	limited	ADJ
ijassa-1585	37	30	storage	storage	NOUN
ijassa-1585	37	31	capacity	capacity	NOUN
ijassa-1585	37	32	,	,	PUNCT
ijassa-1585	37	33	or	or	CCONJ
ijassa-1585	37	34	other	other	ADJ
ijassa-1585	37	35	types	type	NOUN
ijassa-1585	37	36	of	of	ADP
ijassa-1585	37	37	distributions	distribution	NOUN
ijassa-1585	37	38	for	for	ADP
ijassa-1585	37	39	input	input	NOUN
ijassa-1585	37	40	and	and	CCONJ
ijassa-1585	37	41	service	service	NOUN
ijassa-1585	37	42	flows	flow	NOUN
ijassa-1585	37	43	,	,	PUNCT
ijassa-1585	37	44	only	only	ADJ
ijassa-1585	37	45	approximations	approximation	NOUN
ijassa-1585	37	46	of	of	ADP
ijassa-1585	37	47	the	the	DET
ijassa-1585	37	48	mathematical	mathematical	ADJ
ijassa-1585	37	49	expectation	expectation	NOUN
ijassa-1585	37	50	of	of	ADP
ijassa-1585	37	51	response	response	NOUN
ijassa-1585	37	52	time	time	NOUN
ijassa-1585	37	53	were	be	AUX
ijassa-1585	37	54	obtained	obtain	VERB
ijassa-1585	37	55	in	in	ADP
ijassa-1585	37	56	various	various	ADJ
ijassa-1585	37	57	ways	way	NOUN
ijassa-1585	37	58	.	.	PUNCT
ijassa-1585	38	1	as	as	ADP
ijassa-1585	38	2	for	for	ADP
ijassa-1585	38	3	assessing	assess	VERB
ijassa-1585	38	4	other	other	ADJ
ijassa-1585	38	5	performance	performance	NOUN
ijassa-1585	38	6	characteristics	characteristic	NOUN
ijassa-1585	38	7	of	of	ADP
ijassa-1585	38	8	a	a	DET
ijassa-1585	38	9	fork	fork	NOUN
ijassa-1585	38	10	-	-	PUNCT
ijassa-1585	38	11	join	join	NOUN
ijassa-1585	38	12	system	system	NOUN
ijassa-1585	38	13	,	,	PUNCT
ijassa-1585	38	14	there	there	PRON
ijassa-1585	38	15	is	be	VERB
ijassa-1585	38	16	much	much	ADV
ijassa-1585	38	17	less	less	ADJ
ijassa-1585	38	18	research	research	NOUN
ijassa-1585	38	19	in	in	ADP
ijassa-1585	38	20	this	this	DET
ijassa-1585	38	21	direction	direction	NOUN
ijassa-1585	38	22	.	.	PUNCT
ijassa-1585	39	1	for	for	ADP
ijassa-1585	39	2	example	example	NOUN
ijassa-1585	39	3	,	,	PUNCT
ijassa-1585	39	4	the	the	DET
ijassa-1585	39	5	variance	variance	NOUN
ijassa-1585	39	6	and	and	CCONJ
ijassa-1585	39	7	standard	standard	ADJ
ijassa-1585	39	8	deviation	deviation	NOUN
ijassa-1585	39	9	of	of	ADP
ijassa-1585	39	10	response	response	NOUN
ijassa-1585	39	11	time	time	NOUN
ijassa-1585	39	12	was	be	AUX
ijassa-1585	39	13	analyzed	analyze	VERB
ijassa-1585	39	14	in	in	ADP
ijassa-1585	39	15	the	the	DET
ijassa-1585	39	16	papers	paper	NOUN
ijassa-1585	39	17	[	[	X
ijassa-1585	39	18	8	8	NUM
ijassa-1585	39	19	,	,	PUNCT
ijassa-1585	39	20	14	14	NUM
ijassa-1585	39	21	]	]	PUNCT
ijassa-1585	39	22	.	.	PUNCT
ijassa-1585	40	1	in	in	ADP
ijassa-1585	40	2	the	the	DET
ijassa-1585	40	3	work	work	NOUN
ijassa-1585	40	4	[	[	X
ijassa-1585	40	5	11	11	NUM
ijassa-1585	40	6	]	]	PUNCT
ijassa-1585	40	7	you	you	PRON
ijassa-1585	40	8	can	can	AUX
ijassa-1585	40	9	find	find	VERB
ijassa-1585	40	10	analytical	analytical	ADJ
ijassa-1585	40	11	expressions	expression	NOUN
ijassa-1585	40	12	(	(	PUNCT
ijassa-1585	40	13	exact	exact	ADJ
ijassa-1585	40	14	or	or	CCONJ
ijassa-1585	40	15	their	their	PRON
ijassa-1585	40	16	estimates	estimate	NOUN
ijassa-1585	40	17	)	)	PUNCT
ijassa-1585	40	18	for	for	ADP
ijassa-1585	40	19	the	the	DET
ijassa-1585	40	20	correlation	correlation	NOUN
ijassa-1585	40	21	coefficients	coefficient	NOUN
ijassa-1585	40	22	between	between	ADP
ijassa-1585	40	23	the	the	DET
ijassa-1585	40	24	sojourn	sojourn	NOUN
ijassa-1585	40	25	times	time	NOUN
ijassa-1585	40	26	of	of	ADP
ijassa-1585	40	27	subtasks	subtask	NOUN
ijassa-1585	40	28	in	in	ADP
ijassa-1585	40	29	subsystems	subsystem	NOUN
ijassa-1585	40	30	however	however	ADV
ijassa-1585	40	31	,	,	PUNCT
ijassa-1585	40	32	in	in	ADP
ijassa-1585	40	33	addition	addition	NOUN
ijassa-1585	40	34	to	to	ADP
ijassa-1585	40	35	the	the	DET
ijassa-1585	40	36	first	first	ADJ
ijassa-1585	40	37	or	or	CCONJ
ijassa-1585	40	38	second	second	ADJ
ijassa-1585	40	39	moments	moment	NOUN
ijassa-1585	40	40	of	of	ADP
ijassa-1585	40	41	the	the	DET
ijassa-1585	40	42	response	response	NOUN
ijassa-1585	40	43	time	time	NOUN
ijassa-1585	40	44	random	random	ADJ
ijassa-1585	40	45	variable	variable	NOUN
ijassa-1585	40	46	,	,	PUNCT
ijassa-1585	40	47	the	the	DET
ijassa-1585	40	48	quantiles	quantile	NOUN
ijassa-1585	40	49	of	of	ADP
ijassa-1585	40	50	its	its	PRON
ijassa-1585	40	51	distribution	distribution	NOUN
ijassa-1585	40	52	are	be	AUX
ijassa-1585	40	53	of	of	ADP
ijassa-1585	40	54	interest	interest	NOUN
ijassa-1585	40	55	.	.	PUNCT
ijassa-1585	41	1	in	in	ADP
ijassa-1585	41	2	[	[	X
ijassa-1585	41	3	15	15	NUM
ijassa-1585	41	4	]	]	PUNCT
ijassa-1585	41	5	,	,	PUNCT
ijassa-1585	41	6	by	by	ADP
ijassa-1585	41	7	using	use	VERB
ijassa-1585	41	8	computer	computer	NOUN
ijassa-1585	41	9	simulation	simulation	NOUN
ijassa-1585	41	10	,	,	PUNCT
ijassa-1585	41	11	quantiles	quantile	NOUN
ijassa-1585	41	12	of	of	ADP
ijassa-1585	41	13	response	response	NOUN
ijassa-1585	41	14	times	time	NOUN
ijassa-1585	41	15	were	be	AUX
ijassa-1585	41	16	found	find	VERB
ijassa-1585	41	17	in	in	ADP
ijassa-1585	41	18	a	a	DET
ijassa-1585	41	19	system	system	NOUN
ijassa-1585	41	20	with	with	ADP
ijassa-1585	41	21	k	k	PROPN
ijassa-1585	41	22	=	=	SYM
ijassa-1585	41	23	3	3	NUM
ijassa-1585	41	24	at	at	ADP
ijassa-1585	41	25	various	various	ADJ
ijassa-1585	41	26	load	load	NOUN
ijassa-1585	41	27	values	value	NOUN
ijassa-1585	41	28	.	.	PUNCT
ijassa-1585	42	1	in	in	ADP
ijassa-1585	42	2	[	[	X
ijassa-1585	42	3	29	29	NUM
ijassa-1585	42	4	]	]	PUNCT
ijassa-1585	42	5	,	,	PUNCT
ijassa-1585	42	6	using	use	VERB
ijassa-1585	42	7	vector	vector	NOUN
ijassa-1585	42	8	-	-	PUNCT
ijassa-1585	42	9	matrix	matrix	NOUN
ijassa-1585	42	10	techniques	technique	NOUN
ijassa-1585	42	11	and	and	CCONJ
ijassa-1585	42	12	phase	phase	NOUN
ijassa-1585	42	13	distributions	distribution	NOUN
ijassa-1585	42	14	,	,	PUNCT
ijassa-1585	42	15	theoretical	theoretical	ADJ
ijassa-1585	42	16	estimates	estimate	NOUN
ijassa-1585	42	17	of	of	ADP
ijassa-1585	42	18	the	the	DET
ijassa-1585	42	19	tail	tail	NOUN
ijassa-1585	42	20	and	and	CCONJ
ijassa-1585	42	21	quantiles	quantile	NOUN
ijassa-1585	42	22	of	of	ADP
ijassa-1585	42	23	high	high	ADJ
ijassa-1585	42	24	levels	level	NOUN
ijassa-1585	42	25	are	be	AUX
ijassa-1585	42	26	obtained	obtain	VERB
ijassa-1585	42	27	.	.	PUNCT
ijassa-1585	43	1	in	in	ADP
ijassa-1585	43	2	[	[	X
ijassa-1585	43	3	26	26	NUM
ijassa-1585	43	4	]	]	PUNCT
ijassa-1585	43	5	estimates	estimate	NOUN
ijassa-1585	43	6	were	be	AUX
ijassa-1585	43	7	obtained	obtain	VERB
ijassa-1585	43	8	for	for	ADP
ijassa-1585	43	9	high	high	ADJ
ijassa-1585	43	10	-	-	PUNCT
ijassa-1585	43	11	level	level	NOUN
ijassa-1585	43	12	quantiles	quantile	NOUN
ijassa-1585	43	13	under	under	ADP
ijassa-1585	43	14	conditions	condition	NOUN
ijassa-1585	43	15	of	of	ADP
ijassa-1585	43	16	high	high	ADJ
ijassa-1585	43	17	system	system	NOUN
ijassa-1585	43	18	load	load	NOUN
ijassa-1585	43	19	for	for	ADP
ijassa-1585	43	20	several	several	ADJ
ijassa-1585	43	21	types	type	NOUN
ijassa-1585	43	22	of	of	ADP
ijassa-1585	43	23	distributions	distribution	NOUN
ijassa-1585	43	24	and	and	CCONJ
ijassa-1585	43	25	fork	fork	NOUN
ijassa-1585	43	26	-	-	PUNCT
ijassa-1585	43	27	join	join	VERB
ijassa-1585	43	28	qs	qs	PROPN
ijassa-1585	43	29	architectures	architecture	NOUN
ijassa-1585	43	30	.	.	PUNCT
ijassa-1585	44	1	this	this	DET
ijassa-1585	44	2	paper	paper	NOUN
ijassa-1585	44	3	proposes	propose	VERB
ijassa-1585	44	4	an	an	DET
ijassa-1585	44	5	approach	approach	NOUN
ijassa-1585	44	6	for	for	ADP
ijassa-1585	44	7	finding	find	VERB
ijassa-1585	44	8	response	response	NOUN
ijassa-1585	44	9	time	time	NOUN
ijassa-1585	44	10	quantiles	quantile	NOUN
ijassa-1585	44	11	of	of	ADP
ijassa-1585	44	12	various	various	ADJ
ijassa-1585	44	13	levels	level	NOUN
ijassa-1585	44	14	for	for	ADP
ijassa-1585	44	15	a	a	DET
ijassa-1585	44	16	wider	wide	ADJ
ijassa-1585	44	17	range	range	NOUN
ijassa-1585	44	18	of	of	ADP
ijassa-1585	44	19	loads	load	NOUN
ijassa-1585	44	20	,	,	PUNCT
ijassa-1585	44	21	which	which	PRON
ijassa-1585	44	22	allows	allow	VERB
ijassa-1585	44	23	us	we	PRON
ijassa-1585	44	24	to	to	PART
ijassa-1585	44	25	get	get	VERB
ijassa-1585	44	26	a	a	DET
ijassa-1585	44	27	complete	complete	ADJ
ijassa-1585	44	28	picture	picture	NOUN
ijassa-1585	44	29	of	of	ADP
ijassa-1585	44	30	the	the	DET
ijassa-1585	44	31	behavior	behavior	NOUN
ijassa-1585	44	32	of	of	ADP
ijassa-1585	44	33	the	the	DET
ijassa-1585	44	34	random	random	ADJ
ijassa-1585	44	35	variable	variable	NOUN
ijassa-1585	44	36	under	under	ADP
ijassa-1585	44	37	study	study	NOUN
ijassa-1585	44	38	.	.	PUNCT
ijassa-1585	45	1	despite	despite	SCONJ
ijassa-1585	45	2	the	the	DET
ijassa-1585	45	3	fact	fact	NOUN
ijassa-1585	45	4	that	that	SCONJ
ijassa-1585	45	5	the	the	DET
ijassa-1585	45	6	object	object	NOUN
ijassa-1585	45	7	of	of	ADP
ijassa-1585	45	8	study	study	NOUN
ijassa-1585	45	9	of	of	ADP
ijassa-1585	45	10	the	the	DET
ijassa-1585	45	11	article	article	NOUN
ijassa-1585	45	12	is	be	AUX
ijassa-1585	45	13	the	the	DET
ijassa-1585	45	14	classic	classic	ADJ
ijassa-1585	45	15	fork	fork	NOUN
ijassa-1585	45	16	-	-	PUNCT
ijassa-1585	45	17	join	join	NOUN
ijassa-1585	45	18	qs	qs	NOUN
ijassa-1585	45	19	,	,	PUNCT
ijassa-1585	45	20	the	the	DET
ijassa-1585	45	21	approach	approach	NOUN
ijassa-1585	45	22	proposed	propose	VERB
ijassa-1585	45	23	in	in	ADP
ijassa-1585	45	24	the	the	DET
ijassa-1585	45	25	article	article	NOUN
ijassa-1585	45	26	can	can	AUX
ijassa-1585	45	27	be	be	AUX
ijassa-1585	45	28	extended	extend	VERB
ijassa-1585	45	29	to	to	ADP
ijassa-1585	45	30	other	other	ADJ
ijassa-1585	45	31	architectures	architecture	NOUN
ijassa-1585	45	32	of	of	ADP
ijassa-1585	45	33	fork	fork	NOUN
ijassa-1585	45	34	-	-	PUNCT
ijassa-1585	45	35	join	join	NOUN
ijassa-1585	45	36	systems	system	NOUN
ijassa-1585	45	37	and	and	CCONJ
ijassa-1585	45	38	beyond	beyond	ADP
ijassa-1585	45	39	.	.	PUNCT
ijassa-1585	46	1	our	our	PRON
ijassa-1585	46	2	approach	approach	NOUN
ijassa-1585	46	3	to	to	ADP
ijassa-1585	46	4	constructing	construct	VERB
ijassa-1585	46	5	an	an	DET
ijassa-1585	46	6	estimation	estimation	NOUN
ijassa-1585	46	7	of	of	ADP
ijassa-1585	46	8	response	response	NOUN
ijassa-1585	46	9	time	time	NOUN
ijassa-1585	46	10	quantiles	quantile	NOUN
ijassa-1585	46	11	is	be	AUX
ijassa-1585	46	12	based	base	VERB
ijassa-1585	46	13	on	on	ADP
ijassa-1585	46	14	working	work	VERB
ijassa-1585	46	15	with	with	ADP
ijassa-1585	46	16	copulas	copula	NOUN
ijassa-1585	46	17	and	and	CCONJ
ijassa-1585	46	18	their	their	PRON
ijassa-1585	46	19	diagonal	diagonal	ADJ
ijassa-1585	46	20	sections	section	NOUN
ijassa-1585	46	21	.	.	PUNCT
ijassa-1585	47	1	copulas	copula	NOUN
ijassa-1585	47	2	are	be	AUX
ijassa-1585	47	3	multivariate	multivariate	NOUN
ijassa-1585	47	4	distribution	distribution	NOUN
ijassa-1585	47	5	functions	function	NOUN
ijassa-1585	47	6	on	on	ADP
ijassa-1585	47	7	a	a	DET
ijassa-1585	47	8	unit	unit	NOUN
ijassa-1585	47	9	cube	cube	NOUN
ijassa-1585	47	10	with	with	ADP
ijassa-1585	47	11	uniform	uniform	ADJ
ijassa-1585	47	12	marginal	marginal	ADJ
ijassa-1585	47	13	distributions	distribution	NOUN
ijassa-1585	47	14	.	.	PUNCT
ijassa-1585	48	1	according	accord	VERB
ijassa-1585	48	2	to	to	ADP
ijassa-1585	48	3	sklar	sklar	PROPN
ijassa-1585	48	4	’s	’s	PART
ijassa-1585	48	5	theorem	theorem	NOUN
ijassa-1585	48	6	,	,	PUNCT
ijassa-1585	48	7	any	any	DET
ijassa-1585	48	8	multidimensional	multidimensional	ADJ
ijassa-1585	48	9	distribution	distribution	NOUN
ijassa-1585	48	10	can	can	AUX
ijassa-1585	48	11	be	be	AUX
ijassa-1585	48	12	decomposed	decompose	VERB
ijassa-1585	48	13	into	into	ADP
ijassa-1585	48	14	marginal	marginal	ADJ
ijassa-1585	48	15	distributions	distribution	NOUN
ijassa-1585	48	16	and	and	CCONJ
ijassa-1585	48	17	a	a	DET
ijassa-1585	48	18	copula	copula	NOUN
ijassa-1585	48	19	.	.	PUNCT
ijassa-1585	49	1	thus	thus	ADV
ijassa-1585	49	2	,	,	PUNCT
ijassa-1585	49	3	copula	copula	NOUN
ijassa-1585	49	4	exhaustively	exhaustively	ADV
ijassa-1585	49	5	describes	describe	VERB
ijassa-1585	49	6	the	the	DET
ijassa-1585	49	7	dependence	dependence	NOUN
ijassa-1585	49	8	of	of	ADP
ijassa-1585	49	9	random	random	ADJ
ijassa-1585	49	10	variables	variable	NOUN
ijassa-1585	49	11	in	in	ADP
ijassa-1585	49	12	its	its	PRON
ijassa-1585	49	13	pure	pure	ADJ
ijassa-1585	49	14	form	form	NOUN
ijassa-1585	49	15	.	.	PUNCT
ijassa-1585	50	1	the	the	DET
ijassa-1585	50	2	copyright	copyright	NOUN
ijassa-1585	50	3	©	©	PROPN
ijassa-1585	50	4	2024	2024	NUM
ijassa-1585	50	5	assa	assa	NOUN
ijassa-1585	50	6	.	.	PUNCT
ijassa-1585	51	1	adv	adv	PROPN
ijassa-1585	51	2	syst	syst	PROPN
ijassa-1585	51	3	sci	sci	PROPN
ijassa-1585	51	4	appl	appl	PROPN
ijassa-1585	51	5	(	(	PUNCT
ijassa-1585	51	6	2024	2024	NUM
ijassa-1585	51	7	)	)	PUNCT
ijassa-1585	51	8	assa	assa	NOUN
ijassa-1585	51	9	latex	latex	NOUN
ijassa-1585	51	10	template	template	NOUN
ijassa-1585	51	11	3	3	NUM
ijassa-1585	51	12	modern	modern	ADJ
ijassa-1585	51	13	mathematical	mathematical	ADJ
ijassa-1585	51	14	apparatus	apparatus	NOUN
ijassa-1585	51	15	of	of	ADP
ijassa-1585	51	16	copula	copula	NOUN
ijassa-1585	51	17	theory	theory	NOUN
ijassa-1585	51	18	has	have	AUX
ijassa-1585	51	19	been	be	AUX
ijassa-1585	51	20	actively	actively	ADV
ijassa-1585	51	21	developed	develop	VERB
ijassa-1585	51	22	and	and	CCONJ
ijassa-1585	51	23	applied	apply	VERB
ijassa-1585	51	24	in	in	ADP
ijassa-1585	51	25	recent	recent	ADJ
ijassa-1585	51	26	decades	decade	NOUN
ijassa-1585	51	27	,	,	PUNCT
ijassa-1585	51	28	but	but	CCONJ
ijassa-1585	51	29	it	it	PRON
ijassa-1585	51	30	is	be	AUX
ijassa-1585	51	31	still	still	ADV
ijassa-1585	51	32	poorly	poorly	ADV
ijassa-1585	51	33	represented	represent	VERB
ijassa-1585	51	34	in	in	ADP
ijassa-1585	51	35	queueing	queue	VERB
ijassa-1585	51	36	theory	theory	NOUN
ijassa-1585	51	37	.	.	PUNCT
ijassa-1585	52	1	for	for	ADP
ijassa-1585	52	2	example	example	NOUN
ijassa-1585	52	3	,	,	PUNCT
ijassa-1585	52	4	in	in	ADP
ijassa-1585	52	5	[	[	PUNCT
ijassa-1585	52	6	33	33	NUM
ijassa-1585	52	7	]	]	PUNCT
ijassa-1585	52	8	a	a	DET
ijassa-1585	52	9	system	system	NOUN
ijassa-1585	52	10	with	with	ADP
ijassa-1585	52	11	dependent	dependent	ADJ
ijassa-1585	52	12	service	service	NOUN
ijassa-1585	52	13	times	time	NOUN
ijassa-1585	52	14	for	for	ADP
ijassa-1585	52	15	subtasks	subtask	NOUN
ijassa-1585	52	16	in	in	ADP
ijassa-1585	52	17	two	two	NUM
ijassa-1585	52	18	parallel	parallel	ADJ
ijassa-1585	52	19	queues	queue	NOUN
ijassa-1585	52	20	was	be	AUX
ijassa-1585	52	21	considered	consider	VERB
ijassa-1585	52	22	.	.	PUNCT
ijassa-1585	53	1	a	a	DET
ijassa-1585	53	2	task	task	NOUN
ijassa-1585	53	3	is	be	AUX
ijassa-1585	53	4	considered	consider	VERB
ijassa-1585	53	5	served	serve	VERB
ijassa-1585	53	6	if	if	SCONJ
ijassa-1585	53	7	at	at	ADV
ijassa-1585	53	8	least	least	ADV
ijassa-1585	53	9	one	one	NUM
ijassa-1585	53	10	subtask	subtask	NOUN
ijassa-1585	53	11	is	be	AUX
ijassa-1585	53	12	serviced	service	VERB
ijassa-1585	53	13	.	.	PUNCT
ijassa-1585	54	1	marginal	marginal	ADJ
ijassa-1585	54	2	distributions	distribution	NOUN
ijassa-1585	54	3	of	of	ADP
ijassa-1585	54	4	service	service	NOUN
ijassa-1585	54	5	times	time	NOUN
ijassa-1585	54	6	are	be	AUX
ijassa-1585	54	7	assumed	assume	VERB
ijassa-1585	54	8	to	to	PART
ijassa-1585	54	9	be	be	AUX
ijassa-1585	54	10	shifted	shift	VERB
ijassa-1585	54	11	exponential	exponential	ADJ
ijassa-1585	54	12	or	or	CCONJ
ijassa-1585	54	13	hypoexponential	hypoexponential	ADJ
ijassa-1585	54	14	,	,	PUNCT
ijassa-1585	54	15	and	and	CCONJ
ijassa-1585	54	16	their	their	PRON
ijassa-1585	54	17	dependence	dependence	NOUN
ijassa-1585	54	18	is	be	AUX
ijassa-1585	54	19	described	describe	VERB
ijassa-1585	54	20	by	by	ADP
ijassa-1585	54	21	an	an	DET
ijassa-1585	54	22	artificially	artificially	ADV
ijassa-1585	54	23	introduced	introduce	VERB
ijassa-1585	54	24	copula	copula	NOUN
ijassa-1585	54	25	.	.	PUNCT
ijassa-1585	55	1	in	in	ADP
ijassa-1585	55	2	our	our	PRON
ijassa-1585	55	3	works	work	NOUN
ijassa-1585	55	4	we	we	PRON
ijassa-1585	55	5	study	study	VERB
ijassa-1585	55	6	copulas	copula	NOUN
ijassa-1585	55	7	that	that	PRON
ijassa-1585	55	8	arise	arise	VERB
ijassa-1585	55	9	naturally	naturally	ADV
ijassa-1585	55	10	during	during	ADP
ijassa-1585	55	11	the	the	DET
ijassa-1585	55	12	functioning	functioning	NOUN
ijassa-1585	55	13	of	of	ADP
ijassa-1585	55	14	the	the	DET
ijassa-1585	55	15	system	system	NOUN
ijassa-1585	55	16	.	.	PUNCT
ijassa-1585	56	1	in	in	ADP
ijassa-1585	56	2	this	this	DET
ijassa-1585	56	3	regard	regard	NOUN
ijassa-1585	56	4	,	,	PUNCT
ijassa-1585	56	5	we	we	PRON
ijassa-1585	56	6	note	note	VERB
ijassa-1585	56	7	the	the	DET
ijassa-1585	56	8	article	article	NOUN
ijassa-1585	56	9	by	by	ADP
ijassa-1585	56	10	the	the	DET
ijassa-1585	56	11	authors	author	NOUN
ijassa-1585	56	12	of	of	ADP
ijassa-1585	56	13	[	[	X
ijassa-1585	56	14	13	13	NUM
ijassa-1585	56	15	]	]	PUNCT
ijassa-1585	56	16	,	,	PUNCT
ijassa-1585	56	17	where	where	SCONJ
ijassa-1585	56	18	copulas	copula	NOUN
ijassa-1585	56	19	of	of	ADP
ijassa-1585	56	20	maximum	maximum	ADJ
ijassa-1585	56	21	remaining	remain	VERB
ijassa-1585	56	22	service	service	NOUN
ijassa-1585	56	23	times	time	NOUN
ijassa-1585	56	24	in	in	ADP
ijassa-1585	56	25	infinite	infinite	ADJ
ijassa-1585	56	26	-	-	PUNCT
ijassa-1585	56	27	server	server	NOUN
ijassa-1585	56	28	fork	fork	NOUN
ijassa-1585	56	29	-	-	PUNCT
ijassa-1585	56	30	join	join	NOUN
ijassa-1585	56	31	systems	system	NOUN
ijassa-1585	56	32	were	be	AUX
ijassa-1585	56	33	found	find	VERB
ijassa-1585	56	34	.	.	PUNCT
ijassa-1585	57	1	the	the	DET
ijassa-1585	57	2	article	article	NOUN
ijassa-1585	57	3	is	be	AUX
ijassa-1585	57	4	organized	organize	VERB
ijassa-1585	57	5	as	as	SCONJ
ijassa-1585	57	6	follows	follow	VERB
ijassa-1585	57	7	.	.	PUNCT
ijassa-1585	58	1	section	section	NOUN
ijassa-1585	58	2	2	2	NUM
ijassa-1585	58	3	presents	present	VERB
ijassa-1585	58	4	a	a	DET
ijassa-1585	58	5	description	description	NOUN
ijassa-1585	58	6	of	of	ADP
ijassa-1585	58	7	the	the	DET
ijassa-1585	58	8	system	system	NOUN
ijassa-1585	58	9	under	under	ADP
ijassa-1585	58	10	consideration	consideration	NOUN
ijassa-1585	58	11	and	and	CCONJ
ijassa-1585	58	12	provides	provide	VERB
ijassa-1585	58	13	some	some	DET
ijassa-1585	58	14	new	new	ADJ
ijassa-1585	58	15	results	result	NOUN
ijassa-1585	58	16	for	for	ADP
ijassa-1585	58	17	the	the	DET
ijassa-1585	58	18	correlation	correlation	NOUN
ijassa-1585	58	19	coefficients	coefficient	NOUN
ijassa-1585	58	20	between	between	ADP
ijassa-1585	58	21	the	the	DET
ijassa-1585	58	22	sojourn	sojourn	NOUN
ijassa-1585	58	23	times	time	NOUN
ijassa-1585	58	24	of	of	ADP
ijassa-1585	58	25	subtasks	subtask	NOUN
ijassa-1585	58	26	in	in	ADP
ijassa-1585	58	27	subsystems	subsystem	NOUN
ijassa-1585	58	28	,	,	PUNCT
ijassa-1585	58	29	section	section	NOUN
ijassa-1585	58	30	3	3	NUM
ijassa-1585	58	31	gives	give	VERB
ijassa-1585	58	32	the	the	DET
ijassa-1585	58	33	necessary	necessary	ADJ
ijassa-1585	58	34	elements	element	NOUN
ijassa-1585	58	35	of	of	ADP
ijassa-1585	58	36	the	the	DET
ijassa-1585	58	37	theory	theory	NOUN
ijassa-1585	58	38	of	of	ADP
ijassa-1585	58	39	copulas	copula	NOUN
ijassa-1585	58	40	,	,	PUNCT
ijassa-1585	58	41	section	section	NOUN
ijassa-1585	58	42	4	4	NUM
ijassa-1585	58	43	describes	describe	VERB
ijassa-1585	58	44	the	the	DET
ijassa-1585	58	45	approach	approach	NOUN
ijassa-1585	58	46	to	to	ADP
ijassa-1585	58	47	determining	determine	VERB
ijassa-1585	58	48	the	the	DET
ijassa-1585	58	49	approximation	approximation	NOUN
ijassa-1585	58	50	of	of	ADP
ijassa-1585	58	51	the	the	DET
ijassa-1585	58	52	diagonal	diagonal	ADJ
ijassa-1585	58	53	section	section	NOUN
ijassa-1585	58	54	of	of	ADP
ijassa-1585	58	55	the	the	DET
ijassa-1585	58	56	copula	copula	NOUN
ijassa-1585	58	57	and	and	CCONJ
ijassa-1585	58	58	the	the	DET
ijassa-1585	58	59	quantiles	quantile	NOUN
ijassa-1585	58	60	of	of	ADP
ijassa-1585	58	61	the	the	DET
ijassa-1585	58	62	response	response	NOUN
ijassa-1585	58	63	time	time	NOUN
ijassa-1585	58	64	distribution	distribution	NOUN
ijassa-1585	58	65	,	,	PUNCT
ijassa-1585	58	66	in	in	ADP
ijassa-1585	58	67	section	section	NOUN
ijassa-1585	58	68	5	5	NUM
ijassa-1585	58	69	presents	present	VERB
ijassa-1585	58	70	the	the	DET
ijassa-1585	58	71	results	result	NOUN
ijassa-1585	58	72	of	of	ADP
ijassa-1585	58	73	approximating	approximate	VERB
ijassa-1585	58	74	the	the	DET
ijassa-1585	58	75	copula	copula	NOUN
ijassa-1585	58	76	of	of	ADP
ijassa-1585	58	77	sojourn	sojourn	NOUN
ijassa-1585	58	78	times	time	NOUN
ijassa-1585	58	79	of	of	ADP
ijassa-1585	58	80	subtasks	subtask	NOUN
ijassa-1585	58	81	by	by	ADP
ijassa-1585	58	82	the	the	DET
ijassa-1585	58	83	gumbel	gumbel	PROPN
ijassa-1585	58	84	copula	copula	NOUN
ijassa-1585	58	85	,	,	PUNCT
ijassa-1585	58	86	section	section	NOUN
ijassa-1585	58	87	6	6	NUM
ijassa-1585	58	88	compares	compare	VERB
ijassa-1585	58	89	it	it	PRON
ijassa-1585	58	90	with	with	ADP
ijassa-1585	58	91	previously	previously	ADV
ijassa-1585	58	92	known	know	VERB
ijassa-1585	58	93	results	result	NOUN
ijassa-1585	58	94	,	,	PUNCT
ijassa-1585	58	95	and	and	CCONJ
ijassa-1585	58	96	the	the	DET
ijassa-1585	58	97	conclusion	conclusion	NOUN
ijassa-1585	58	98	summarizes	summarize	VERB
ijassa-1585	58	99	some	some	DET
ijassa-1585	58	100	results	result	NOUN
ijassa-1585	58	101	.	.	PUNCT
ijassa-1585	59	1	2	2	X
ijassa-1585	59	2	.	.	X
ijassa-1585	59	3	mathematical	mathematical	ADJ
ijassa-1585	59	4	model	model	NOUN
ijassa-1585	59	5	of	of	ADP
ijassa-1585	59	6	fork	fork	NOUN
ijassa-1585	59	7	-	-	PUNCT
ijassa-1585	59	8	join	join	VERB
ijassa-1585	59	9	qs	qs	NOUN
ijassa-1585	59	10	and	and	CCONJ
ijassa-1585	59	11	correlation	correlation	NOUN
ijassa-1585	59	12	coefficients	coefficient	NOUN
ijassa-1585	59	13	let	let	VERB
ijassa-1585	59	14	us	we	PRON
ijassa-1585	59	15	describe	describe	VERB
ijassa-1585	59	16	in	in	ADP
ijassa-1585	59	17	more	more	ADJ
ijassa-1585	59	18	detail	detail	NOUN
ijassa-1585	59	19	the	the	DET
ijassa-1585	59	20	process	process	NOUN
ijassa-1585	59	21	of	of	ADP
ijassa-1585	59	22	functioning	function	VERB
ijassa-1585	59	23	of	of	ADP
ijassa-1585	59	24	the	the	DET
ijassa-1585	59	25	fork	fork	NOUN
ijassa-1585	59	26	-	-	PUNCT
ijassa-1585	59	27	join	join	NOUN
ijassa-1585	59	28	system	system	NOUN
ijassa-1585	59	29	.	.	PUNCT
ijassa-1585	60	1	we	we	PRON
ijassa-1585	60	2	will	will	AUX
ijassa-1585	60	3	consider	consider	VERB
ijassa-1585	60	4	the	the	DET
ijassa-1585	60	5	special	special	ADJ
ijassa-1585	60	6	case	case	NOUN
ijassa-1585	60	7	of	of	ADP
ijassa-1585	60	8	two	two	NUM
ijassa-1585	60	9	subsystems	subsystem	NOUN
ijassa-1585	60	10	(	(	PUNCT
ijassa-1585	60	11	k	k	NOUN
ijassa-1585	60	12	=	=	SYM
ijassa-1585	60	13	2	2	NUM
ijassa-1585	60	14	)	)	PUNCT
ijassa-1585	60	15	,	,	PUNCT
ijassa-1585	60	16	however	however	ADV
ijassa-1585	60	17	,	,	PUNCT
ijassa-1585	60	18	note	note	VERB
ijassa-1585	60	19	that	that	SCONJ
ijassa-1585	60	20	the	the	DET
ijassa-1585	60	21	number	number	NOUN
ijassa-1585	60	22	of	of	ADP
ijassa-1585	60	23	subsystems	subsystem	NOUN
ijassa-1585	60	24	does	do	AUX
ijassa-1585	60	25	not	not	PART
ijassa-1585	60	26	in	in	ADP
ijassa-1585	60	27	any	any	DET
ijassa-1585	60	28	way	way	NOUN
ijassa-1585	60	29	affect	affect	VERB
ijassa-1585	60	30	the	the	DET
ijassa-1585	60	31	dependence	dependence	NOUN
ijassa-1585	60	32	in	in	ADP
ijassa-1585	60	33	any	any	DET
ijassa-1585	60	34	pair	pair	NOUN
ijassa-1585	60	35	of	of	ADP
ijassa-1585	60	36	sojourn	sojourn	NOUN
ijassa-1585	60	37	times	time	NOUN
ijassa-1585	60	38	of	of	ADP
ijassa-1585	60	39	subtasks	subtask	NOUN
ijassa-1585	60	40	of	of	ADP
ijassa-1585	60	41	one	one	NUM
ijassa-1585	60	42	task	task	NOUN
ijassa-1585	60	43	(	(	PUNCT
ijassa-1585	60	44	fig	fig	NOUN
ijassa-1585	60	45	.	.	PUNCT
ijassa-1585	60	46	2.1	2.1	NUM
ijassa-1585	60	47	)	)	PUNCT
ijassa-1585	60	48	.	.	PUNCT
ijassa-1585	61	1	the	the	DET
ijassa-1585	61	2	system	system	NOUN
ijassa-1585	61	3	receives	receive	VERB
ijassa-1585	61	4	a	a	DET
ijassa-1585	61	5	poisson	poisson	NOUN
ijassa-1585	61	6	flow	flow	NOUN
ijassa-1585	61	7	of	of	ADP
ijassa-1585	61	8	tasks	task	NOUN
ijassa-1585	61	9	with	with	ADP
ijassa-1585	61	10	rate	rate	NOUN
ijassa-1585	61	11	λ	λ	PROPN
ijassa-1585	61	12	>	>	X
ijassa-1585	61	13	0	0	NUM
ijassa-1585	61	14	.	.	PUNCT
ijassa-1585	62	1	at	at	ADP
ijassa-1585	62	2	the	the	DET
ijassa-1585	62	3	moment	moment	NOUN
ijassa-1585	62	4	the	the	DET
ijassa-1585	62	5	task	task	NOUN
ijassa-1585	62	6	is	be	AUX
ijassa-1585	62	7	received	receive	VERB
ijassa-1585	62	8	into	into	ADP
ijassa-1585	62	9	the	the	DET
ijassa-1585	62	10	system	system	NOUN
ijassa-1585	62	11	,	,	PUNCT
ijassa-1585	62	12	it	it	PRON
ijassa-1585	62	13	is	be	AUX
ijassa-1585	62	14	instantly	instantly	ADV
ijassa-1585	62	15	divided	divide	VERB
ijassa-1585	62	16	into	into	ADP
ijassa-1585	62	17	2	2	NUM
ijassa-1585	62	18	subtasks	subtask	NOUN
ijassa-1585	62	19	,	,	PUNCT
ijassa-1585	62	20	each	each	PRON
ijassa-1585	62	21	of	of	ADP
ijassa-1585	62	22	which	which	PRON
ijassa-1585	62	23	falls	fall	VERB
ijassa-1585	62	24	into	into	ADP
ijassa-1585	62	25	the	the	DET
ijassa-1585	62	26	corresponding	corresponding	ADJ
ijassa-1585	62	27	subsystem	subsystem	NOUN
ijassa-1585	62	28	,	,	PUNCT
ijassa-1585	62	29	which	which	PRON
ijassa-1585	62	30	has	have	VERB
ijassa-1585	62	31	a	a	DET
ijassa-1585	62	32	storage	storage	NOUN
ijassa-1585	62	33	device	device	NOUN
ijassa-1585	62	34	of	of	ADP
ijassa-1585	62	35	unlimited	unlimited	ADJ
ijassa-1585	62	36	capacity	capacity	NOUN
ijassa-1585	62	37	and	and	CCONJ
ijassa-1585	62	38	one	one	NUM
ijassa-1585	62	39	server	server	NOUN
ijassa-1585	62	40	.	.	PUNCT
ijassa-1585	63	1	all	all	DET
ijassa-1585	63	2	servers	server	NOUN
ijassa-1585	63	3	are	be	AUX
ijassa-1585	63	4	homogeneous	homogeneous	ADJ
ijassa-1585	63	5	,	,	PUNCT
ijassa-1585	63	6	the	the	DET
ijassa-1585	63	7	service	service	NOUN
ijassa-1585	63	8	time	time	NOUN
ijassa-1585	63	9	has	have	VERB
ijassa-1585	63	10	an	an	DET
ijassa-1585	63	11	exponential	exponential	ADJ
ijassa-1585	63	12	distribution	distribution	NOUN
ijassa-1585	63	13	with	with	ADP
ijassa-1585	63	14	parameter	parameter	NOUN
ijassa-1585	63	15	µ	µ	X
ijassa-1585	63	16	>	>	X
ijassa-1585	63	17	0	0	NUM
ijassa-1585	63	18	.	.	PUNCT
ijassa-1585	64	1	thus	thus	ADV
ijassa-1585	64	2	,	,	PUNCT
ijassa-1585	64	3	the	the	DET
ijassa-1585	64	4	subsystems	subsystem	NOUN
ijassa-1585	64	5	represent	represent	VERB
ijassa-1585	64	6	two	two	NUM
ijassa-1585	64	7	identical	identical	ADJ
ijassa-1585	64	8	qss	qss	NOUN
ijassa-1585	64	9	of	of	ADP
ijassa-1585	64	10	type	type	NOUN
ijassa-1585	64	11	.	.	PUNCT
ijassa-1585	64	12	.	.	PUNCT
ijassa-1585	64	13	.	.	PUNCT
ijassa-1585	65	1	fork	fork	PROPN
ijassa-1585	65	2	point	point	NOUN
ijassa-1585	65	3	join	join	NOUN
ijassa-1585	65	4	point	point	NOUN
ijassa-1585	65	5	...	...	PUNCT
ijassa-1585	65	6	...	...	PUNCT
ijassa-1585	65	7	...	...	PUNCT
ijassa-1585	66	1	λ	λ	X
ijassa-1585	66	2	λ	λ	X
ijassa-1585	66	3	λ	λ	X
ijassa-1585	66	4	λ	λ	X
ijassa-1585	66	5	µ	µ	X
ijassa-1585	66	6	µ	µ	X
ijassa-1585	66	7	µ	µ	X
ijassa-1585	66	8	fig	fig	NOUN
ijassa-1585	66	9	.	.	PUNCT
ijassa-1585	67	1	2.1	2.1	NUM
ijassa-1585	67	2	.	.	PUNCT
ijassa-1585	67	3	fork	fork	NOUN
ijassa-1585	67	4	-	-	PUNCT
ijassa-1585	67	5	join	join	NOUN
ijassa-1585	67	6	model	model	NOUN
ijassa-1585	67	7	of	of	ADP
ijassa-1585	67	8	a	a	DET
ijassa-1585	67	9	queue	queue	NOUN
ijassa-1585	67	10	ing	ing	ADJ
ijassa-1585	67	11	system	system	NOUN
ijassa-1585	67	12	with	with	ADP
ijassa-1585	67	13	subsystems	subsystem	NOUN
ijassa-1585	67	14	of	of	ADP
ijassa-1585	67	15	type	type	NOUN
ijassa-1585	67	16	mλ|mµ|1	mλ|mµ|1	PROPN
ijassa-1585	67	17	.	.	PUNCT
ijassa-1585	68	1	m	m	VERB
ijassa-1585	68	2	|m	|m	NOUN
ijassa-1585	68	3	|1	|1	X
ijassa-1585	68	4	.	.	PUNCT
ijassa-1585	69	1	since	since	SCONJ
ijassa-1585	69	2	a	a	DET
ijassa-1585	69	3	task	task	NOUN
ijassa-1585	69	4	is	be	AUX
ijassa-1585	69	5	considered	consider	VERB
ijassa-1585	69	6	to	to	PART
ijassa-1585	69	7	be	be	AUX
ijassa-1585	69	8	serviced	service	VERB
ijassa-1585	69	9	only	only	ADV
ijassa-1585	69	10	after	after	ADP
ijassa-1585	69	11	the	the	DET
ijassa-1585	69	12	completion	completion	NOUN
ijassa-1585	69	13	of	of	ADP
ijassa-1585	69	14	servicing	servicing	NOUN
ijassa-1585	69	15	of	of	ADP
ijassa-1585	69	16	both	both	PRON
ijassa-1585	69	17	of	of	ADP
ijassa-1585	69	18	its	its	PRON
ijassa-1585	69	19	subtasks	subtask	NOUN
ijassa-1585	69	20	,	,	PUNCT
ijassa-1585	69	21	the	the	DET
ijassa-1585	69	22	random	random	ADJ
ijassa-1585	69	23	sojourn	sojourn	NOUN
ijassa-1585	69	24	time	time	NOUN
ijassa-1585	69	25	of	of	ADP
ijassa-1585	69	26	the	the	DET
ijassa-1585	69	27	task	task	NOUN
ijassa-1585	69	28	in	in	ADP
ijassa-1585	69	29	the	the	DET
ijassa-1585	69	30	qs	qs	PROPN
ijassa-1585	69	31	(	(	PUNCT
ijassa-1585	69	32	response	response	NOUN
ijassa-1585	69	33	time	time	NOUN
ijassa-1585	69	34	)	)	PUNCT
ijassa-1585	70	1	r	r	NOUN
ijassa-1585	70	2	is	be	AUX
ijassa-1585	70	3	the	the	DET
ijassa-1585	70	4	maximum	maximum	NOUN
ijassa-1585	70	5	of	of	ADP
ijassa-1585	70	6	two	two	NUM
ijassa-1585	70	7	random	random	ADJ
ijassa-1585	70	8	sojourn	sojourn	NOUN
ijassa-1585	70	9	times	time	NOUN
ijassa-1585	70	10	of	of	ADP
ijassa-1585	70	11	subtasks	subtask	NOUN
ijassa-1585	70	12	ξi	ξi	NOUN
ijassa-1585	70	13	,	,	PUNCT
ijassa-1585	70	14	i	i	PRON
ijassa-1585	70	15	=	=	NOUN
ijassa-1585	70	16	1	1	NUM
ijassa-1585	70	17	,	,	PUNCT
ijassa-1585	70	18	2	2	NUM
ijassa-1585	70	19	,	,	PUNCT
ijassa-1585	70	20	in	in	ADP
ijassa-1585	70	21	each	each	PRON
ijassa-1585	70	22	from	from	ADP
ijassa-1585	70	23	two	two	NUM
ijassa-1585	70	24	subsystems	subsystem	NOUN
ijassa-1585	70	25	:	:	PUNCT
ijassa-1585	70	26	r	r	NOUN
ijassa-1585	70	27	=	=	SYM
ijassa-1585	70	28	max{ξ1	max{ξ1	PROPN
ijassa-1585	70	29	,	,	PUNCT
ijassa-1585	70	30	ξ2	ξ2	NOUN
ijassa-1585	70	31	}	}	PUNCT
ijassa-1585	70	32	.	.	PUNCT
ijassa-1585	71	1	(	(	PUNCT
ijassa-1585	71	2	2.1	2.1	NUM
ijassa-1585	71	3	)	)	PUNCT
ijassa-1585	71	4	random	random	ADJ
ijassa-1585	71	5	variables	variable	NOUN
ijassa-1585	71	6	ξ1	ξ1	NOUN
ijassa-1585	71	7	and	and	CCONJ
ijassa-1585	71	8	ξ2	ξ2	NOUN
ijassa-1585	71	9	are	be	AUX
ijassa-1585	71	10	correlated	correlate	VERB
ijassa-1585	71	11	due	due	ADP
ijassa-1585	71	12	to	to	ADP
ijassa-1585	71	13	the	the	DET
ijassa-1585	71	14	fact	fact	NOUN
ijassa-1585	71	15	that	that	SCONJ
ijassa-1585	71	16	all	all	DET
ijassa-1585	71	17	subtasks	subtask	NOUN
ijassa-1585	71	18	(	(	PUNCT
ijassa-1585	71	19	parts	part	NOUN
ijassa-1585	71	20	of	of	ADP
ijassa-1585	71	21	one	one	NUM
ijassa-1585	71	22	task	task	NOUN
ijassa-1585	71	23	)	)	PUNCT
ijassa-1585	71	24	arrive	arrive	NOUN
ijassa-1585	71	25	at	at	ADP
ijassa-1585	71	26	the	the	DET
ijassa-1585	71	27	subsystems	subsystem	NOUN
ijassa-1585	71	28	at	at	ADP
ijassa-1585	71	29	the	the	DET
ijassa-1585	71	30	same	same	ADJ
ijassa-1585	71	31	time	time	NOUN
ijassa-1585	71	32	.	.	PUNCT
ijassa-1585	72	1	in	in	ADP
ijassa-1585	72	2	the	the	DET
ijassa-1585	72	3	work	work	NOUN
ijassa-1585	72	4	[	[	X
ijassa-1585	72	5	11	11	NUM
ijassa-1585	72	6	]	]	PUNCT
ijassa-1585	72	7	you	you	PRON
ijassa-1585	72	8	can	can	AUX
ijassa-1585	72	9	familiarize	familiarize	VERB
ijassa-1585	72	10	yourself	yourself	PRON
ijassa-1585	72	11	in	in	ADP
ijassa-1585	72	12	detail	detail	NOUN
ijassa-1585	72	13	with	with	ADP
ijassa-1585	72	14	the	the	DET
ijassa-1585	72	15	analysis	analysis	NOUN
ijassa-1585	72	16	of	of	ADP
ijassa-1585	72	17	this	this	DET
ijassa-1585	72	18	dependence	dependence	NOUN
ijassa-1585	72	19	,	,	PUNCT
ijassa-1585	72	20	as	as	ADV
ijassa-1585	72	21	well	well	ADV
ijassa-1585	72	22	as	as	ADP
ijassa-1585	72	23	with	with	ADP
ijassa-1585	72	24	the	the	DET
ijassa-1585	72	25	derivation	derivation	NOUN
ijassa-1585	72	26	of	of	ADP
ijassa-1585	72	27	analytical	analytical	ADJ
ijassa-1585	72	28	expressions	expression	NOUN
ijassa-1585	72	29	for	for	ADP
ijassa-1585	72	30	various	various	ADJ
ijassa-1585	72	31	correlation	correlation	NOUN
ijassa-1585	72	32	coefficients	coefficient	NOUN
ijassa-1585	72	33	between	between	ADP
ijassa-1585	72	34	any	any	DET
ijassa-1585	72	35	pair	pair	NOUN
ijassa-1585	72	36	of	of	ADP
ijassa-1585	72	37	sojourn	sojourn	NOUN
ijassa-1585	72	38	times	time	NOUN
ijassa-1585	72	39	of	of	ADP
ijassa-1585	72	40	subtasks	subtask	NOUN
ijassa-1585	72	41	in	in	ADP
ijassa-1585	72	42	subsystems	subsystem	NOUN
ijassa-1585	72	43	.	.	PUNCT
ijassa-1585	73	1	since	since	SCONJ
ijassa-1585	73	2	this	this	DET
ijassa-1585	73	3	article	article	NOUN
ijassa-1585	73	4	is	be	AUX
ijassa-1585	73	5	a	a	DET
ijassa-1585	73	6	logical	logical	ADJ
ijassa-1585	73	7	continuation	continuation	NOUN
ijassa-1585	73	8	of	of	ADP
ijassa-1585	73	9	the	the	DET
ijassa-1585	73	10	research	research	NOUN
ijassa-1585	73	11	begun	begin	VERB
ijassa-1585	73	12	in	in	ADP
ijassa-1585	73	13	[	[	X
ijassa-1585	73	14	11	11	NUM
ijassa-1585	73	15	]	]	PUNCT
ijassa-1585	73	16	,	,	PUNCT
ijassa-1585	73	17	in	in	ADP
ijassa-1585	73	18	copyright	copyright	NOUN
ijassa-1585	73	19	©	©	PROPN
ijassa-1585	73	20	2024	2024	NUM
ijassa-1585	73	21	assa	assa	NOUN
ijassa-1585	73	22	.	.	PUNCT
ijassa-1585	74	1	adv	adv	PROPN
ijassa-1585	74	2	syst	syst	PROPN
ijassa-1585	74	3	sci	sci	PROPN
ijassa-1585	74	4	appl	appl	PROPN
ijassa-1585	74	5	(	(	PUNCT
ijassa-1585	74	6	2024	2024	NUM
ijassa-1585	74	7	)	)	PUNCT
ijassa-1585	74	8	4	4	NUM
ijassa-1585	74	9	a.v	a.v	PROPN
ijassa-1585	74	10	.	.	PROPN
ijassa-1585	74	11	gorbunova	gorbunova	PROPN
ijassa-1585	74	12	,	,	PUNCT
ijassa-1585	74	13	a.v	a.v	PROPN
ijassa-1585	74	14	.	.	PROPN
ijassa-1585	74	15	lebedev	lebedev	PROPN
ijassa-1585	74	16	order	order	NOUN
ijassa-1585	74	17	to	to	PART
ijassa-1585	74	18	understand	understand	VERB
ijassa-1585	74	19	the	the	DET
ijassa-1585	74	20	whole	whole	ADJ
ijassa-1585	74	21	picture	picture	NOUN
ijassa-1585	74	22	we	we	PRON
ijassa-1585	74	23	present	present	VERB
ijassa-1585	74	24	the	the	DET
ijassa-1585	74	25	exact	exact	ADJ
ijassa-1585	74	26	analytical	analytical	ADJ
ijassa-1585	74	27	formulas	formula	NOUN
ijassa-1585	74	28	obtained	obtain	VERB
ijassa-1585	74	29	for	for	ADP
ijassa-1585	74	30	the	the	DET
ijassa-1585	74	31	pearson	pearson	NOUN
ijassa-1585	74	32	and	and	CCONJ
ijassa-1585	74	33	spearman	spearman	NOUN
ijassa-1585	74	34	correlation	correlation	NOUN
ijassa-1585	74	35	coefficients	coefficient	NOUN
ijassa-1585	74	36	rp	rp	NOUN
ijassa-1585	74	37	=	=	PUNCT
ijassa-1585	74	38	ρ(4−	ρ(4−	NOUN
ijassa-1585	74	39	ρ	ρ	PROPN
ijassa-1585	74	40	)	)	PUNCT
ijassa-1585	74	41	8	8	NUM
ijassa-1585	74	42	,	,	PUNCT
ijassa-1585	74	43	(	(	PUNCT
ijassa-1585	74	44	2.2	2.2	NUM
ijassa-1585	74	45	)	)	PUNCT
ijassa-1585	74	46	rs	rs	NOUN
ijassa-1585	74	47	=	=	NUM
ijassa-1585	74	48	12	12	NUM
ijassa-1585	74	49	√	√	NUM
ijassa-1585	74	50	2	2	NUM
ijassa-1585	74	51	√	√	NUM
ijassa-1585	74	52	2−	2−	NUM
ijassa-1585	74	53	ρ	ρ	NUM
ijassa-1585	74	54	8−	8−	NUM
ijassa-1585	74	55	3ρ	3ρ	NUM
ijassa-1585	74	56	−	−	PROPN
ijassa-1585	74	57	3	3	X
ijassa-1585	74	58	.	.	PUNCT
ijassa-1585	74	59	(	(	PUNCT
ijassa-1585	74	60	2.3	2.3	NUM
ijassa-1585	74	61	)	)	PUNCT
ijassa-1585	74	62	as	as	ADV
ijassa-1585	74	63	well	well	ADV
ijassa-1585	74	64	as	as	ADP
ijassa-1585	74	65	an	an	DET
ijassa-1585	74	66	approximate	approximate	ADJ
ijassa-1585	74	67	expression	expression	NOUN
ijassa-1585	74	68	for	for	ADP
ijassa-1585	74	69	the	the	DET
ijassa-1585	74	70	kendall	kendall	PROPN
ijassa-1585	74	71	correlation	correlation	NOUN
ijassa-1585	74	72	coefficient	coefficient	NOUN
ijassa-1585	74	73	rk	rk	NOUN
ijassa-1585	74	74	≈	≈	PROPN
ijassa-1585	74	75	ρ(0.25134	ρ(0.25134	PROPN
ijassa-1585	74	76	+	+	CCONJ
ijassa-1585	74	77	0.02517ρ	0.02517ρ	NOUN
ijassa-1585	74	78	)	)	PUNCT
ijassa-1585	74	79	,	,	PUNCT
ijassa-1585	74	80	(	(	PUNCT
ijassa-1585	74	81	2.4	2.4	NUM
ijassa-1585	74	82	)	)	PUNCT
ijassa-1585	74	83	where	where	SCONJ
ijassa-1585	74	84	ρ	ρ	NOUN
ijassa-1585	74	85	=	=	PUNCT
ijassa-1585	75	1	λ/µ	λ/µ	X
ijassa-1585	75	2	is	be	AUX
ijassa-1585	75	3	the	the	DET
ijassa-1585	75	4	system	system	NOUN
ijassa-1585	75	5	load	load	NOUN
ijassa-1585	75	6	factor	factor	NOUN
ijassa-1585	75	7	.	.	PUNCT
ijassa-1585	76	1	in	in	ADP
ijassa-1585	76	2	what	what	PRON
ijassa-1585	76	3	follows	follow	VERB
ijassa-1585	76	4	,	,	PUNCT
ijassa-1585	76	5	for	for	ADP
ijassa-1585	76	6	simplicity	simplicity	NOUN
ijassa-1585	76	7	,	,	PUNCT
ijassa-1585	76	8	we	we	PRON
ijassa-1585	76	9	assume	assume	VERB
ijassa-1585	76	10	λ	λ	X
ijassa-1585	76	11	=	=	SYM
ijassa-1585	76	12	1	1	NUM
ijassa-1585	76	13	,	,	PUNCT
ijassa-1585	76	14	µ	µ	X
ijassa-1585	76	15	=	=	SYM
ijassa-1585	76	16	1	1	NUM
ijassa-1585	76	17	/	/	SYM
ijassa-1585	76	18	ρ	ρ	NOUN
ijassa-1585	76	19	.	.	PUNCT
ijassa-1585	77	1	such	such	ADJ
ijassa-1585	77	2	parameters	parameter	NOUN
ijassa-1585	77	3	were	be	AUX
ijassa-1585	77	4	used	use	VERB
ijassa-1585	77	5	in	in	ADP
ijassa-1585	77	6	the	the	DET
ijassa-1585	77	7	simulation	simulation	NOUN
ijassa-1585	77	8	[	[	X
ijassa-1585	77	9	10	10	NUM
ijassa-1585	77	10	,	,	PUNCT
ijassa-1585	77	11	14	14	NUM
ijassa-1585	77	12	]	]	PUNCT
ijassa-1585	77	13	.	.	PUNCT
ijassa-1585	78	1	note	note	VERB
ijassa-1585	78	2	that	that	SCONJ
ijassa-1585	78	3	various	various	ADJ
ijassa-1585	78	4	correlation	correlation	NOUN
ijassa-1585	78	5	coefficients	coefficient	NOUN
ijassa-1585	78	6	,	,	PUNCT
ijassa-1585	78	7	in	in	ADP
ijassa-1585	78	8	the	the	DET
ijassa-1585	78	9	general	general	ADJ
ijassa-1585	78	10	case	case	NOUN
ijassa-1585	78	11	,	,	PUNCT
ijassa-1585	78	12	only	only	ADV
ijassa-1585	78	13	partially	partially	ADV
ijassa-1585	78	14	reflect	reflect	VERB
ijassa-1585	78	15	the	the	DET
ijassa-1585	78	16	dependence	dependence	NOUN
ijassa-1585	78	17	.	.	PUNCT
ijassa-1585	79	1	just	just	ADV
ijassa-1585	79	2	copulas	copula	NOUN
ijassa-1585	79	3	fully	fully	ADV
ijassa-1585	79	4	reflect	reflect	VERB
ijassa-1585	79	5	the	the	DET
ijassa-1585	79	6	dependence	dependence	NOUN
ijassa-1585	79	7	.	.	PUNCT
ijassa-1585	80	1	3	3	X
ijassa-1585	80	2	.	.	X
ijassa-1585	80	3	elements	element	NOUN
ijassa-1585	80	4	of	of	ADP
ijassa-1585	80	5	copula	copula	NOUN
ijassa-1585	80	6	theory	theory	NOUN
ijassa-1585	80	7	a	a	DET
ijassa-1585	80	8	copulac	copulac	PROPN
ijassa-1585	80	9	is	be	AUX
ijassa-1585	80	10	a	a	DET
ijassa-1585	80	11	multivariate	multivariate	NOUN
ijassa-1585	80	12	distribution	distribution	NOUN
ijassa-1585	80	13	function	function	NOUN
ijassa-1585	80	14	on	on	ADP
ijassa-1585	80	15	[	[	X
ijassa-1585	80	16	0	0	NUM
ijassa-1585	80	17	,	,	PUNCT
ijassa-1585	80	18	1]d	1]d	NUM
ijassa-1585	80	19	,	,	PUNCT
ijassa-1585	80	20	d	d	X
ijassa-1585	80	21	≥	≥	NUM
ijassa-1585	80	22	2	2	NUM
ijassa-1585	80	23	,	,	PUNCT
ijassa-1585	80	24	if	if	SCONJ
ijassa-1585	80	25	all	all	DET
ijassa-1585	80	26	marginal	marginal	ADJ
ijassa-1585	80	27	distributions	distribution	NOUN
ijassa-1585	80	28	are	be	AUX
ijassa-1585	80	29	uniform	uniform	ADJ
ijassa-1585	80	30	on	on	ADP
ijassa-1585	80	31	[	[	X
ijassa-1585	80	32	0	0	NUM
ijassa-1585	80	33	,	,	PUNCT
ijassa-1585	80	34	1	1	NUM
ijassa-1585	80	35	]	]	PUNCT
ijassa-1585	80	36	.	.	PUNCT
ijassa-1585	81	1	according	accord	VERB
ijassa-1585	81	2	to	to	ADP
ijassa-1585	81	3	the	the	DET
ijassa-1585	81	4	famous	famous	ADJ
ijassa-1585	81	5	sklar	sklar	NOUN
ijassa-1585	81	6	theorem	theorem	NOUN
ijassa-1585	81	7	,	,	PUNCT
ijassa-1585	81	8	any	any	DET
ijassa-1585	81	9	multivariate	multivariate	NOUN
ijassa-1585	81	10	distribution	distribution	NOUN
ijassa-1585	81	11	function	function	NOUN
ijassa-1585	81	12	in	in	ADP
ijassa-1585	81	13	rd	rd	NOUN
ijassa-1585	81	14	can	can	AUX
ijassa-1585	81	15	be	be	AUX
ijassa-1585	81	16	represented	represent	VERB
ijassa-1585	81	17	in	in	ADP
ijassa-1585	81	18	the	the	DET
ijassa-1585	81	19	form	form	NOUN
ijassa-1585	81	20	f	f	PROPN
ijassa-1585	81	21	(	(	PUNCT
ijassa-1585	81	22	x1	x1	PROPN
ijassa-1585	81	23	,	,	PUNCT
ijassa-1585	81	24	.	.	PUNCT
ijassa-1585	81	25	.	.	PUNCT
ijassa-1585	81	26	.	.	PUNCT
ijassa-1585	82	1	xd	xd	X
ijassa-1585	82	2	)	)	PUNCT
ijassa-1585	82	3	=	=	SYM
ijassa-1585	82	4	c(f1(x1	c(f1(x1	ADJ
ijassa-1585	82	5	)	)	PUNCT
ijassa-1585	82	6	,	,	PUNCT
ijassa-1585	82	7	.	.	PUNCT
ijassa-1585	82	8	.	.	PUNCT
ijassa-1585	82	9	.	.	PUNCT
ijassa-1585	83	1	fd(xd	fd(xd	NOUN
ijassa-1585	83	2	)	)	PUNCT
ijassa-1585	83	3	)	)	PUNCT
ijassa-1585	83	4	,	,	PUNCT
ijassa-1585	84	1	where	where	SCONJ
ijassa-1585	84	2	fi	fi	NOUN
ijassa-1585	84	3	,	,	PUNCT
ijassa-1585	84	4	1	1	NUM
ijassa-1585	84	5	≤	≤	NUM
ijassa-1585	84	6	i	i	X
ijassa-1585	84	7	≤	≤	NOUN
ijassa-1585	84	8	d	d	X
ijassa-1585	84	9	,	,	PUNCT
ijassa-1585	84	10	are	be	AUX
ijassa-1585	84	11	functions	function	NOUN
ijassa-1585	84	12	of	of	ADP
ijassa-1585	84	13	private	private	ADJ
ijassa-1585	84	14	distributions	distribution	NOUN
ijassa-1585	84	15	.	.	PUNCT
ijassa-1585	85	1	thus	thus	ADV
ijassa-1585	85	2	,	,	PUNCT
ijassa-1585	85	3	every	every	DET
ijassa-1585	85	4	multidimensional	multidimensional	ADJ
ijassa-1585	85	5	distribution	distribution	NOUN
ijassa-1585	85	6	can	can	AUX
ijassa-1585	85	7	be	be	AUX
ijassa-1585	85	8	associated	associate	VERB
ijassa-1585	85	9	with	with	ADP
ijassa-1585	85	10	its	its	PRON
ijassa-1585	85	11	copula	copula	NOUN
ijassa-1585	85	12	.	.	PUNCT
ijassa-1585	86	1	if	if	SCONJ
ijassa-1585	86	2	marginal	marginal	ADJ
ijassa-1585	86	3	distributions	distribution	NOUN
ijassa-1585	86	4	are	be	AUX
ijassa-1585	86	5	continuous	continuous	ADJ
ijassa-1585	86	6	,	,	PUNCT
ijassa-1585	86	7	then	then	ADV
ijassa-1585	86	8	such	such	DET
ijassa-1585	86	9	a	a	DET
ijassa-1585	86	10	representation	representation	NOUN
ijassa-1585	86	11	is	be	AUX
ijassa-1585	86	12	unique	unique	ADJ
ijassa-1585	86	13	.	.	PUNCT
ijassa-1585	87	1	as	as	ADP
ijassa-1585	87	2	a	a	DET
ijassa-1585	87	3	classic	classic	ADJ
ijassa-1585	87	4	textbook	textbook	NOUN
ijassa-1585	87	5	on	on	ADP
ijassa-1585	87	6	copulas	copula	NOUN
ijassa-1585	87	7	we	we	PRON
ijassa-1585	87	8	point	point	VERB
ijassa-1585	87	9	out	out	ADP
ijassa-1585	87	10	[	[	X
ijassa-1585	87	11	23	23	NUM
ijassa-1585	87	12	]	]	PUNCT
ijassa-1585	87	13	.	.	PUNCT
ijassa-1585	88	1	in	in	ADP
ijassa-1585	88	2	what	what	PRON
ijassa-1585	88	3	follows	follow	VERB
ijassa-1585	88	4	,	,	PUNCT
ijassa-1585	88	5	we	we	PRON
ijassa-1585	88	6	restrict	restrict	VERB
ijassa-1585	88	7	ourselves	ourselves	PRON
ijassa-1585	88	8	to	to	ADP
ijassa-1585	88	9	the	the	DET
ijassa-1585	88	10	case	case	NOUN
ijassa-1585	88	11	of	of	ADP
ijassa-1585	88	12	two	two	NUM
ijassa-1585	88	13	-	-	PUNCT
ijassa-1585	88	14	dimensional	dimensional	ADJ
ijassa-1585	88	15	copulas	copula	NOUN
ijassa-1585	88	16	(	(	PUNCT
ijassa-1585	88	17	d	d	NOUN
ijassa-1585	88	18	=	=	SYM
ijassa-1585	88	19	2	2	NUM
ijassa-1585	88	20	)	)	PUNCT
ijassa-1585	88	21	.	.	PUNCT
ijassa-1585	89	1	the	the	DET
ijassa-1585	89	2	diagonal	diagonal	ADJ
ijassa-1585	89	3	section	section	NOUN
ijassa-1585	89	4	of	of	ADP
ijassa-1585	89	5	a	a	DET
ijassa-1585	89	6	(	(	PUNCT
ijassa-1585	89	7	two	two	NUM
ijassa-1585	89	8	-	-	PUNCT
ijassa-1585	89	9	dimensional	dimensional	ADJ
ijassa-1585	89	10	)	)	PUNCT
ijassa-1585	89	11	copula	copula	NOUN
ijassa-1585	89	12	is	be	AUX
ijassa-1585	89	13	the	the	DET
ijassa-1585	89	14	function	function	NOUN
ijassa-1585	89	15	δ(u	δ(u	PROPN
ijassa-1585	89	16	)	)	PUNCT
ijassa-1585	90	1	=	=	SYM
ijassa-1585	90	2	c(u	c(u	PROPN
ijassa-1585	90	3	,	,	PUNCT
ijassa-1585	90	4	u	u	NOUN
ijassa-1585	90	5	)	)	PUNCT
ijassa-1585	90	6	,	,	PUNCT
ijassa-1585	90	7	u	u	PROPN
ijassa-1585	90	8	∈	∈	PROPN
ijassa-1585	91	1	[	[	X
ijassa-1585	91	2	0	0	NUM
ijassa-1585	91	3	,	,	PUNCT
ijassa-1585	91	4	1	1	NUM
ijassa-1585	91	5	]	]	PUNCT
ijassa-1585	91	6	.	.	PUNCT
ijassa-1585	92	1	it	it	PRON
ijassa-1585	92	2	has	have	VERB
ijassa-1585	92	3	the	the	DET
ijassa-1585	92	4	following	follow	VERB
ijassa-1585	92	5	(	(	PUNCT
ijassa-1585	92	6	necessary	necessary	ADJ
ijassa-1585	92	7	and	and	CCONJ
ijassa-1585	92	8	sufficient	sufficient	ADJ
ijassa-1585	92	9	)	)	PUNCT
ijassa-1585	92	10	properties	property	NOUN
ijassa-1585	92	11	:	:	PUNCT
ijassa-1585	92	12	max{2u−	max{2u−	PROPN
ijassa-1585	92	13	1	1	NUM
ijassa-1585	92	14	,	,	PUNCT
ijassa-1585	92	15	0	0	NUM
ijassa-1585	92	16	}	}	PUNCT
ijassa-1585	92	17	≤	≤	NUM
ijassa-1585	92	18	δ(u	δ(u	PROPN
ijassa-1585	92	19	)	)	PUNCT
ijassa-1585	92	20	≤	≤	NOUN
ijassa-1585	92	21	u	u	NOUN
ijassa-1585	92	22	;	;	PUNCT
ijassa-1585	92	23	0	0	NUM
ijassa-1585	92	24	≤	≤	NUM
ijassa-1585	92	25	δ(u2)−	δ(u2)−	NOUN
ijassa-1585	92	26	δ(u1	δ(u1	NOUN
ijassa-1585	92	27	)	)	PUNCT
ijassa-1585	92	28	≤	≤	NOUN
ijassa-1585	93	1	2(u2	2(u2	NUM
ijassa-1585	93	2	−	−	PROPN
ijassa-1585	93	3	u1	u1	NOUN
ijassa-1585	93	4	)	)	PUNCT
ijassa-1585	93	5	,	,	PUNCT
ijassa-1585	93	6	0	0	NUM
ijassa-1585	93	7	≤	≤	NUM
ijassa-1585	93	8	u1	u1	NOUN
ijassa-1585	93	9	≤	≤	NOUN
ijassa-1585	93	10	u2	u2	PROPN
ijassa-1585	93	11	≤	≤	ADJ
ijassa-1585	93	12	1	1	NUM
ijassa-1585	93	13	.	.	PUNCT
ijassa-1585	94	1	(	(	PUNCT
ijassa-1585	94	2	3.5	3.5	NUM
ijassa-1585	94	3	)	)	PUNCT
ijassa-1585	94	4	the	the	DET
ijassa-1585	94	5	point	point	NOUN
ijassa-1585	94	6	of	of	ADP
ijassa-1585	94	7	studying	study	VERB
ijassa-1585	94	8	diagonal	diagonal	ADJ
ijassa-1585	94	9	sections	section	NOUN
ijassa-1585	94	10	,	,	PUNCT
ijassa-1585	94	11	for	for	ADP
ijassa-1585	94	12	example	example	NOUN
ijassa-1585	94	13	,	,	PUNCT
ijassa-1585	94	14	is	be	AUX
ijassa-1585	94	15	as	as	SCONJ
ijassa-1585	94	16	follows	follow	VERB
ijassa-1585	94	17	.	.	PUNCT
ijassa-1585	95	1	if	if	SCONJ
ijassa-1585	95	2	random	random	ADJ
ijassa-1585	95	3	variables	variable	NOUN
ijassa-1585	95	4	x1	x1	PROPN
ijassa-1585	95	5	and	and	CCONJ
ijassa-1585	95	6	x2	x2	PROPN
ijassa-1585	95	7	are	be	AUX
ijassa-1585	95	8	given	give	VERB
ijassa-1585	95	9	with	with	ADP
ijassa-1585	95	10	identical	identical	ADJ
ijassa-1585	95	11	marginal	marginal	ADJ
ijassa-1585	95	12	distributions	distribution	NOUN
ijassa-1585	95	13	f1	f1	NOUN
ijassa-1585	95	14	=	=	PUNCT
ijassa-1585	95	15	f2	f2	PROPN
ijassa-1585	95	16	=	=	SYM
ijassa-1585	95	17	f	f	NOUN
ijassa-1585	95	18	and	and	CCONJ
ijassa-1585	95	19	joint	joint	ADJ
ijassa-1585	95	20	distribution	distribution	NOUN
ijassa-1585	95	21	copula	copula	NOUN
ijassa-1585	95	22	c	c	NOUN
ijassa-1585	95	23	,	,	PUNCT
ijassa-1585	95	24	then	then	ADV
ijassa-1585	95	25	their	their	PRON
ijassa-1585	95	26	maximum	maximum	NOUN
ijassa-1585	95	27	is	be	AUX
ijassa-1585	95	28	xmax	xmax	NOUN
ijassa-1585	95	29	=	=	NOUN
ijassa-1585	95	30	max{x1	max{x1	NOUN
ijassa-1585	95	31	,	,	PUNCT
ijassa-1585	95	32	x2	x2	PROPN
ijassa-1585	95	33	}	}	PUNCT
ijassa-1585	95	34	has	have	AUX
ijassa-1585	95	35	a	a	DET
ijassa-1585	95	36	distribution	distribution	NOUN
ijassa-1585	95	37	function	function	NOUN
ijassa-1585	95	38	fmax(x	fmax(x	NOUN
ijassa-1585	95	39	)	)	PUNCT
ijassa-1585	96	1	=	=	SYM
ijassa-1585	97	1	p	p	X
ijassa-1585	97	2	(	(	PUNCT
ijassa-1585	97	3	x1	x1	PROPN
ijassa-1585	97	4	<	<	X
ijassa-1585	97	5	x	x	X
ijassa-1585	97	6	,	,	PUNCT
ijassa-1585	97	7	x2	x2	PRON
ijassa-1585	97	8	<	<	X
ijassa-1585	97	9	x	x	X
ijassa-1585	97	10	)	)	PUNCT
ijassa-1585	97	11	=	=	SYM
ijassa-1585	98	1	c(f	c(f	X
ijassa-1585	98	2	(	(	PUNCT
ijassa-1585	98	3	x	x	NOUN
ijassa-1585	98	4	)	)	PUNCT
ijassa-1585	98	5	,	,	PUNCT
ijassa-1585	98	6	f	f	PROPN
ijassa-1585	98	7	(	(	PUNCT
ijassa-1585	98	8	x	x	NOUN
ijassa-1585	98	9	)	)	PUNCT
ijassa-1585	98	10	)	)	PUNCT
ijassa-1585	99	1	=	=	SYM
ijassa-1585	99	2	δ(f	δ(f	PROPN
ijassa-1585	99	3	(	(	PUNCT
ijassa-1585	99	4	x	x	NOUN
ijassa-1585	99	5	)	)	PUNCT
ijassa-1585	99	6	)	)	PUNCT
ijassa-1585	99	7	,	,	PUNCT
ijassa-1585	99	8	(	(	PUNCT
ijassa-1585	99	9	3.6	3.6	NUM
ijassa-1585	99	10	)	)	PUNCT
ijassa-1585	99	11	so	so	ADV
ijassa-1585	99	12	to	to	PART
ijassa-1585	99	13	calculate	calculate	VERB
ijassa-1585	99	14	it	it	PRON
ijassa-1585	99	15	we	we	PRON
ijassa-1585	99	16	need	need	VERB
ijassa-1585	99	17	to	to	PART
ijassa-1585	99	18	know	know	VERB
ijassa-1585	99	19	only	only	ADV
ijassa-1585	99	20	the	the	DET
ijassa-1585	99	21	diagonal	diagonal	ADJ
ijassa-1585	99	22	section	section	NOUN
ijassa-1585	99	23	,	,	PUNCT
ijassa-1585	99	24	and	and	CCONJ
ijassa-1585	99	25	not	not	PART
ijassa-1585	99	26	the	the	DET
ijassa-1585	99	27	entire	entire	ADJ
ijassa-1585	99	28	copula	copula	NOUN
ijassa-1585	99	29	.	.	PUNCT
ijassa-1585	100	1	it	it	PRON
ijassa-1585	100	2	is	be	AUX
ijassa-1585	100	3	easy	easy	ADJ
ijassa-1585	100	4	to	to	PART
ijassa-1585	100	5	see	see	VERB
ijassa-1585	100	6	that	that	SCONJ
ijassa-1585	100	7	the	the	DET
ijassa-1585	100	8	conditions	condition	NOUN
ijassa-1585	100	9	(	(	PUNCT
ijassa-1585	100	10	3.5	3.5	NUM
ijassa-1585	100	11	)	)	PUNCT
ijassa-1585	100	12	are	be	AUX
ijassa-1585	100	13	satisfied	satisfied	ADJ
ijassa-1585	100	14	by	by	ADP
ijassa-1585	100	15	the	the	DET
ijassa-1585	100	16	power	power	NOUN
ijassa-1585	100	17	function	function	NOUN
ijassa-1585	100	18	δ(u	δ(u	PROPN
ijassa-1585	100	19	)	)	PUNCT
ijassa-1585	101	1	=	=	SYM
ijassa-1585	101	2	uα	uα	PROPN
ijassa-1585	101	3	,	,	PUNCT
ijassa-1585	101	4	1	1	NUM
ijassa-1585	101	5	≤	≤	NUM
ijassa-1585	101	6	α	α	NOUN
ijassa-1585	101	7	≤	≤	NUM
ijassa-1585	101	8	2	2	NUM
ijassa-1585	101	9	,	,	PUNCT
ijassa-1585	101	10	then	then	ADV
ijassa-1585	101	11	the	the	DET
ijassa-1585	101	12	case	case	NOUN
ijassa-1585	101	13	α	α	X
ijassa-1585	101	14	=	=	SYM
ijassa-1585	101	15	1	1	NUM
ijassa-1585	101	16	corresponds	correspond	VERB
ijassa-1585	101	17	to	to	ADP
ijassa-1585	101	18	a	a	DET
ijassa-1585	101	19	perfect	perfect	ADJ
ijassa-1585	101	20	positive	positive	ADJ
ijassa-1585	101	21	dependence	dependence	NOUN
ijassa-1585	101	22	(	(	PUNCT
ijassa-1585	101	23	comonotonicity	comonotonicity	NOUN
ijassa-1585	101	24	)	)	PUNCT
ijassa-1585	101	25	,	,	PUNCT
ijassa-1585	101	26	and	and	CCONJ
ijassa-1585	101	27	the	the	DET
ijassa-1585	101	28	case	case	NOUN
ijassa-1585	101	29	α	α	X
ijassa-1585	101	30	=	=	SYM
ijassa-1585	101	31	2	2	NUM
ijassa-1585	101	32	corresponds	correspond	NOUN
ijassa-1585	101	33	to	to	ADP
ijassa-1585	101	34	independence	independence	NOUN
ijassa-1585	101	35	of	of	ADP
ijassa-1585	101	36	random	random	ADJ
ijassa-1585	101	37	variables	variable	NOUN
ijassa-1585	101	38	.	.	PUNCT
ijassa-1585	102	1	a	a	DET
ijassa-1585	102	2	classic	classic	ADJ
ijassa-1585	102	3	example	example	NOUN
ijassa-1585	102	4	of	of	ADP
ijassa-1585	102	5	an	an	DET
ijassa-1585	102	6	absolutely	absolutely	ADV
ijassa-1585	102	7	continuous	continuous	ADJ
ijassa-1585	102	8	(	(	PUNCT
ijassa-1585	102	9	having	have	VERB
ijassa-1585	102	10	density	density	NOUN
ijassa-1585	102	11	)	)	PUNCT
ijassa-1585	102	12	copula	copula	NOUN
ijassa-1585	102	13	with	with	ADP
ijassa-1585	102	14	a	a	DET
ijassa-1585	102	15	power	power	NOUN
ijassa-1585	102	16	-	-	PUNCT
ijassa-1585	102	17	law	law	NOUN
ijassa-1585	102	18	diagonal	diagonal	ADJ
ijassa-1585	102	19	section	section	NOUN
ijassa-1585	102	20	is	be	AUX
ijassa-1585	102	21	the	the	DET
ijassa-1585	102	22	gumbel	gumbel	PROPN
ijassa-1585	102	23	copula	copula	NOUN
ijassa-1585	102	24	c(u1	c(u1	NOUN
ijassa-1585	102	25	,	,	PUNCT
ijassa-1585	102	26	u2	u2	NOUN
ijassa-1585	102	27	)	)	PUNCT
ijassa-1585	102	28	=	=	PUNCT
ijassa-1585	102	29	exp{−((−	exp{−((−	NOUN
ijassa-1585	102	30	lnu1	lnu1	PROPN
ijassa-1585	102	31	)	)	PUNCT
ijassa-1585	103	1	θ	θ	PROPN
ijassa-1585	104	1	+	+	PUNCT
ijassa-1585	104	2	(	(	PUNCT
ijassa-1585	104	3	−	−	PROPN
ijassa-1585	104	4	lnu2	lnu2	PROPN
ijassa-1585	104	5	)	)	PUNCT
ijassa-1585	104	6	θ)1	θ)1	PROPN
ijassa-1585	104	7	/	/	SYM
ijassa-1585	104	8	θ	θ	PROPN
ijassa-1585	104	9	}	}	PUNCT
ijassa-1585	104	10	,	,	PUNCT
ijassa-1585	104	11	θ	θ	PROPN
ijassa-1585	104	12	≥	≥	NUM
ijassa-1585	104	13	1	1	NUM
ijassa-1585	104	14	,	,	PUNCT
ijassa-1585	104	15	u1	u1	NOUN
ijassa-1585	104	16	,	,	PUNCT
ijassa-1585	104	17	u2	u2	PROPN
ijassa-1585	104	18	∈	∈	PROPN
ijassa-1585	105	1	[	[	X
ijassa-1585	105	2	0	0	NUM
ijassa-1585	105	3	,	,	PUNCT
ijassa-1585	105	4	1	1	NUM
ijassa-1585	105	5	]	]	PUNCT
ijassa-1585	105	6	,	,	PUNCT
ijassa-1585	105	7	copyright	copyright	NOUN
ijassa-1585	105	8	©	©	PROPN
ijassa-1585	105	9	2024	2024	NUM
ijassa-1585	105	10	assa	assa	NOUN
ijassa-1585	105	11	.	.	PUNCT
ijassa-1585	106	1	adv	adv	PROPN
ijassa-1585	106	2	syst	syst	PROPN
ijassa-1585	106	3	sci	sci	PROPN
ijassa-1585	106	4	appl	appl	PROPN
ijassa-1585	106	5	(	(	PUNCT
ijassa-1585	106	6	2024	2024	NUM
ijassa-1585	106	7	)	)	PUNCT
ijassa-1585	106	8	assa	assa	NOUN
ijassa-1585	106	9	latex	latex	NOUN
ijassa-1585	106	10	template	template	NOUN
ijassa-1585	106	11	5	5	NUM
ijassa-1585	106	12	then	then	ADV
ijassa-1585	106	13	δ(u	δ(u	NUM
ijassa-1585	106	14	)	)	PUNCT
ijassa-1585	106	15	=	=	SYM
ijassa-1585	107	1	u2	u2	NOUN
ijassa-1585	107	2	1	1	NUM
ijassa-1585	107	3	/	/	SYM
ijassa-1585	107	4	θ	θ	PROPN
ijassa-1585	107	5	.	.	PUNCT
ijassa-1585	108	1	more	more	ADV
ijassa-1585	108	2	precisely	precisely	ADV
ijassa-1585	108	3	,	,	PUNCT
ijassa-1585	108	4	a	a	DET
ijassa-1585	108	5	gumbel	gumbel	PROPN
ijassa-1585	108	6	copula	copula	NOUN
ijassa-1585	108	7	belongs	belong	VERB
ijassa-1585	108	8	to	to	ADP
ijassa-1585	108	9	the	the	DET
ijassa-1585	108	10	class	class	NOUN
ijassa-1585	108	11	of	of	ADP
ijassa-1585	108	12	extreme	extreme	ADJ
ijassa-1585	108	13	value	value	NOUN
ijassa-1585	108	14	copulas	copula	NOUN
ijassa-1585	108	15	,	,	PUNCT
ijassa-1585	108	16	which	which	PRON
ijassa-1585	108	17	always	always	ADV
ijassa-1585	108	18	have	have	VERB
ijassa-1585	108	19	power	power	NOUN
ijassa-1585	108	20	-	-	PUNCT
ijassa-1585	108	21	law	law	NOUN
ijassa-1585	108	22	diagonal	diagonal	ADJ
ijassa-1585	108	23	sections	section	NOUN
ijassa-1585	108	24	.	.	PUNCT
ijassa-1585	109	1	you	you	PRON
ijassa-1585	109	2	can	can	AUX
ijassa-1585	109	3	read	read	VERB
ijassa-1585	109	4	about	about	ADP
ijassa-1585	109	5	such	such	ADJ
ijassa-1585	109	6	copulas	copula	NOUN
ijassa-1585	109	7	in	in	ADP
ijassa-1585	109	8	[	[	X
ijassa-1585	109	9	23	23	NUM
ijassa-1585	109	10	,	,	PUNCT
ijassa-1585	109	11	§	§	PROPN
ijassa-1585	109	12	3.3.4	3.3.4	NUM
ijassa-1585	109	13	]	]	PUNCT
ijassa-1585	109	14	,	,	PUNCT
ijassa-1585	109	15	[	[	X
ijassa-1585	109	16	16	16	NUM
ijassa-1585	109	17	]	]	PUNCT
ijassa-1585	109	18	,	,	PUNCT
ijassa-1585	109	19	etc	etc	X
ijassa-1585	109	20	.	.	X
ijassa-1585	109	21	authors	author	NOUN
ijassa-1585	109	22	’	'	PUNCT
ijassa-1585	109	23	works	work	VERB
ijassa-1585	109	24	related	relate	VERB
ijassa-1585	109	25	to	to	ADP
ijassa-1585	109	26	copulas	copula	NOUN
ijassa-1585	109	27	can	can	AUX
ijassa-1585	109	28	be	be	AUX
ijassa-1585	109	29	listed	list	VERB
ijassa-1585	109	30	as	as	ADP
ijassa-1585	109	31	[	[	X
ijassa-1585	109	32	13	13	NUM
ijassa-1585	109	33	,	,	PUNCT
ijassa-1585	109	34	20	20	NUM
ijassa-1585	109	35	,	,	PUNCT
ijassa-1585	109	36	21	21	NUM
ijassa-1585	109	37	]	]	PUNCT
ijassa-1585	109	38	.	.	PUNCT
ijassa-1585	110	1	4	4	X
ijassa-1585	110	2	.	.	NUM
ijassa-1585	110	3	approximations	approximation	NOUN
ijassa-1585	110	4	of	of	ADP
ijassa-1585	110	5	the	the	DET
ijassa-1585	110	6	diagonal	diagonal	ADJ
ijassa-1585	110	7	section	section	NOUN
ijassa-1585	110	8	and	and	CCONJ
ijassa-1585	111	1	response	response	NOUN
ijassa-1585	111	2	time	time	NOUN
ijassa-1585	111	3	quantiles	quantile	NOUN
ijassa-1585	111	4	determining	determine	VERB
ijassa-1585	111	5	the	the	DET
ijassa-1585	111	6	quantiles	quantile	NOUN
ijassa-1585	111	7	of	of	ADP
ijassa-1585	111	8	the	the	DET
ijassa-1585	111	9	response	response	NOUN
ijassa-1585	111	10	time	time	NOUN
ijassa-1585	111	11	distribution	distribution	NOUN
ijassa-1585	111	12	is	be	AUX
ijassa-1585	111	13	no	no	PRON
ijassa-1585	111	14	less	less	ADV
ijassa-1585	111	15	important	important	ADJ
ijassa-1585	111	16	than	than	ADP
ijassa-1585	111	17	finding	find	VERB
ijassa-1585	111	18	the	the	DET
ijassa-1585	111	19	average	average	ADJ
ijassa-1585	111	20	response	response	NOUN
ijassa-1585	111	21	time	time	NOUN
ijassa-1585	111	22	,	,	PUNCT
ijassa-1585	111	23	and	and	CCONJ
ijassa-1585	111	24	sometimes	sometimes	ADV
ijassa-1585	111	25	even	even	ADV
ijassa-1585	111	26	more	more	ADV
ijassa-1585	111	27	important	important	ADJ
ijassa-1585	111	28	.	.	PUNCT
ijassa-1585	112	1	understanding	understand	VERB
ijassa-1585	112	2	how	how	SCONJ
ijassa-1585	112	3	a	a	DET
ijassa-1585	112	4	system	system	NOUN
ijassa-1585	112	5	behaves	behave	VERB
ijassa-1585	112	6	under	under	ADP
ijassa-1585	112	7	high	high	ADJ
ijassa-1585	112	8	load	load	NOUN
ijassa-1585	112	9	and	and	CCONJ
ijassa-1585	112	10	what	what	PRON
ijassa-1585	112	11	maximum	maximum	ADJ
ijassa-1585	112	12	response	response	NOUN
ijassa-1585	112	13	time	time	NOUN
ijassa-1585	112	14	delays	delay	NOUN
ijassa-1585	112	15	are	be	AUX
ijassa-1585	112	16	possible	possible	ADJ
ijassa-1585	112	17	is	be	AUX
ijassa-1585	112	18	of	of	ADP
ijassa-1585	112	19	great	great	ADJ
ijassa-1585	112	20	value	value	NOUN
ijassa-1585	112	21	.	.	PUNCT
ijassa-1585	113	1	despite	despite	SCONJ
ijassa-1585	113	2	the	the	DET
ijassa-1585	113	3	fact	fact	NOUN
ijassa-1585	113	4	that	that	SCONJ
ijassa-1585	113	5	in	in	ADP
ijassa-1585	113	6	this	this	DET
ijassa-1585	113	7	work	work	NOUN
ijassa-1585	113	8	we	we	PRON
ijassa-1585	113	9	consider	consider	VERB
ijassa-1585	113	10	fork	fork	NOUN
ijassa-1585	113	11	-	-	PUNCT
ijassa-1585	113	12	join	join	VERB
ijassa-1585	113	13	qs	qs	NOUN
ijassa-1585	113	14	with	with	ADP
ijassa-1585	113	15	m	m	PROPN
ijassa-1585	113	16	|m	|m	NOUN
ijassa-1585	113	17	|1	|1	DET
ijassa-1585	113	18	subsystems	subsystem	NOUN
ijassa-1585	113	19	,	,	PUNCT
ijassa-1585	113	20	the	the	DET
ijassa-1585	113	21	results	result	NOUN
ijassa-1585	113	22	of	of	ADP
ijassa-1585	113	23	estimating	estimate	VERB
ijassa-1585	113	24	the	the	DET
ijassa-1585	113	25	upper	upper	ADJ
ijassa-1585	113	26	quantiles	quantile	NOUN
ijassa-1585	113	27	can	can	AUX
ijassa-1585	113	28	be	be	AUX
ijassa-1585	113	29	used	use	VERB
ijassa-1585	113	30	to	to	PART
ijassa-1585	113	31	initially	initially	ADV
ijassa-1585	113	32	predict	predict	VERB
ijassa-1585	113	33	the	the	DET
ijassa-1585	113	34	behavior	behavior	NOUN
ijassa-1585	113	35	of	of	ADP
ijassa-1585	113	36	models	model	NOUN
ijassa-1585	113	37	that	that	PRON
ijassa-1585	113	38	clearly	clearly	ADV
ijassa-1585	113	39	do	do	AUX
ijassa-1585	113	40	not	not	PART
ijassa-1585	113	41	have	have	VERB
ijassa-1585	113	42	heavy	heavy	ADJ
ijassa-1585	113	43	-	-	PUNCT
ijassa-1585	113	44	tailed	tail	VERB
ijassa-1585	113	45	distributions	distribution	NOUN
ijassa-1585	113	46	,	,	PUNCT
ijassa-1585	113	47	for	for	ADP
ijassa-1585	113	48	example	example	NOUN
ijassa-1585	113	49	,	,	PUNCT
ijassa-1585	113	50	these	these	PRON
ijassa-1585	113	51	can	can	AUX
ijassa-1585	113	52	be	be	AUX
ijassa-1585	113	53	various	various	ADJ
ijassa-1585	113	54	options	option	NOUN
ijassa-1585	113	55	for	for	ADP
ijassa-1585	113	56	small	small	ADJ
ijassa-1585	113	57	warehouse	warehouse	NOUN
ijassa-1585	113	58	or	or	CCONJ
ijassa-1585	113	59	production	production	NOUN
ijassa-1585	113	60	systems	system	NOUN
ijassa-1585	113	61	,	,	PUNCT
ijassa-1585	113	62	modeling	model	VERB
ijassa-1585	113	63	the	the	DET
ijassa-1585	113	64	process	process	NOUN
ijassa-1585	113	65	of	of	ADP
ijassa-1585	113	66	admission	admission	NOUN
ijassa-1585	113	67	,	,	PUNCT
ijassa-1585	113	68	stay	stay	VERB
ijassa-1585	113	69	and	and	CCONJ
ijassa-1585	113	70	discharge	discharge	VERB
ijassa-1585	113	71	of	of	ADP
ijassa-1585	113	72	patients	patient	NOUN
ijassa-1585	113	73	from	from	ADP
ijassa-1585	113	74	medical	medical	ADJ
ijassa-1585	113	75	institutions	institution	NOUN
ijassa-1585	113	76	or	or	CCONJ
ijassa-1585	113	77	the	the	DET
ijassa-1585	113	78	process	process	NOUN
ijassa-1585	113	79	of	of	ADP
ijassa-1585	113	80	reviewing	review	VERB
ijassa-1585	113	81	a	a	DET
ijassa-1585	113	82	client	client	NOUN
ijassa-1585	113	83	’s	’s	PART
ijassa-1585	113	84	loan	loan	NOUN
ijassa-1585	113	85	application	application	NOUN
ijassa-1585	113	86	in	in	ADP
ijassa-1585	113	87	a	a	DET
ijassa-1585	113	88	financial	financial	ADJ
ijassa-1585	113	89	institution	institution	NOUN
ijassa-1585	113	90	and	and	CCONJ
ijassa-1585	113	91	,	,	PUNCT
ijassa-1585	113	92	possibly	possibly	ADV
ijassa-1585	113	93	,	,	PUNCT
ijassa-1585	113	94	even	even	ADV
ijassa-1585	113	95	some	some	DET
ijassa-1585	113	96	private	private	ADJ
ijassa-1585	113	97	computing	computing	NOUN
ijassa-1585	113	98	systems	system	NOUN
ijassa-1585	113	99	with	with	ADP
ijassa-1585	113	100	the	the	DET
ijassa-1585	113	101	implementation	implementation	NOUN
ijassa-1585	113	102	of	of	ADP
ijassa-1585	113	103	distributed	distributed	ADJ
ijassa-1585	113	104	or	or	CCONJ
ijassa-1585	113	105	parallel	parallel	ADJ
ijassa-1585	113	106	computing	computing	NOUN
ijassa-1585	113	107	,	,	PUNCT
ijassa-1585	113	108	operated	operate	VERB
ijassa-1585	113	109	by	by	ADP
ijassa-1585	113	110	employees	employee	NOUN
ijassa-1585	113	111	of	of	ADP
ijassa-1585	113	112	a	a	DET
ijassa-1585	113	113	small	small	ADJ
ijassa-1585	113	114	company	company	NOUN
ijassa-1585	113	115	.	.	PUNCT
ijassa-1585	114	1	to	to	PART
ijassa-1585	114	2	approximate	approximate	VERB
ijassa-1585	114	3	the	the	DET
ijassa-1585	114	4	quantiles	quantile	NOUN
ijassa-1585	114	5	of	of	ADP
ijassa-1585	114	6	the	the	DET
ijassa-1585	114	7	distribution	distribution	NOUN
ijassa-1585	114	8	of	of	ADP
ijassa-1585	114	9	the	the	DET
ijassa-1585	114	10	random	random	ADJ
ijassa-1585	114	11	variable	variable	ADJ
ijassa-1585	114	12	response	response	NOUN
ijassa-1585	114	13	time	time	NOUN
ijassa-1585	114	14	r	r	PROPN
ijassa-1585	114	15	=	=	SYM
ijassa-1585	114	16	max{ξ1	max{ξ1	PROPN
ijassa-1585	114	17	,	,	PUNCT
ijassa-1585	114	18	ξ2	ξ2	NOUN
ijassa-1585	114	19	}	}	PUNCT
ijassa-1585	114	20	we	we	PRON
ijassa-1585	114	21	will	will	AUX
ijassa-1585	114	22	use	use	VERB
ijassa-1585	114	23	elements	element	NOUN
ijassa-1585	114	24	of	of	ADP
ijassa-1585	114	25	copula	copula	NOUN
ijassa-1585	114	26	theory	theory	NOUN
ijassa-1585	114	27	.	.	PUNCT
ijassa-1585	115	1	we	we	PRON
ijassa-1585	115	2	will	will	AUX
ijassa-1585	115	3	consider	consider	VERB
ijassa-1585	115	4	a	a	DET
ijassa-1585	115	5	two	two	NUM
ijassa-1585	115	6	-	-	PUNCT
ijassa-1585	115	7	dimensional	dimensional	ADJ
ijassa-1585	115	8	copula	copula	NOUN
ijassa-1585	115	9	c(u1	c(u1	NOUN
ijassa-1585	115	10	,	,	PUNCT
ijassa-1585	115	11	u2	u2	PROPN
ijassa-1585	115	12	)	)	PUNCT
ijassa-1585	115	13	of	of	ADP
ijassa-1585	115	14	random	random	ADJ
ijassa-1585	115	15	vectors	vector	NOUN
ijassa-1585	115	16	of	of	ADP
ijassa-1585	115	17	sojourn	sojourn	NOUN
ijassa-1585	115	18	times	time	NOUN
ijassa-1585	115	19	in	in	ADP
ijassa-1585	115	20	subsystems	subsystem	NOUN
ijassa-1585	115	21	(	(	PUNCT
ijassa-1585	115	22	ξ1	ξ1	NOUN
ijassa-1585	115	23	,	,	PUNCT
ijassa-1585	115	24	ξ2	ξ2	NOUN
ijassa-1585	115	25	)	)	PUNCT
ijassa-1585	115	26	.	.	PUNCT
ijassa-1585	116	1	each	each	DET
ijassa-1585	116	2	component	component	NOUN
ijassa-1585	116	3	of	of	ADP
ijassa-1585	116	4	the	the	DET
ijassa-1585	116	5	random	random	ADJ
ijassa-1585	116	6	vector	vector	NOUN
ijassa-1585	116	7	has	have	VERB
ijassa-1585	116	8	an	an	DET
ijassa-1585	116	9	exponential	exponential	ADJ
ijassa-1585	116	10	distribution	distribution	NOUN
ijassa-1585	116	11	with	with	ADP
ijassa-1585	116	12	the	the	DET
ijassa-1585	116	13	distribution	distribution	NOUN
ijassa-1585	116	14	function	function	NOUN
ijassa-1585	116	15	f	f	PROPN
ijassa-1585	116	16	(	(	PUNCT
ijassa-1585	116	17	x	x	X
ijassa-1585	116	18	)	)	PUNCT
ijassa-1585	116	19	=	=	SYM
ijassa-1585	116	20	1−	1−	NUM
ijassa-1585	116	21	e−(µ−λ)x	e−(µ−λ)x	NOUN
ijassa-1585	116	22	,	,	PUNCT
ijassa-1585	116	23	x	x	NOUN
ijassa-1585	116	24	⩾	⩾	NOUN
ijassa-1585	116	25	0	0	X
ijassa-1585	116	26	.	.	PUNCT
ijassa-1585	117	1	then	then	ADV
ijassa-1585	117	2	,	,	PUNCT
ijassa-1585	117	3	in	in	ADP
ijassa-1585	117	4	accordance	accordance	NOUN
ijassa-1585	117	5	with	with	ADP
ijassa-1585	117	6	sklar	sklar	PROPN
ijassa-1585	117	7	’s	’s	PART
ijassa-1585	117	8	theorem	theorem	NOUN
ijassa-1585	117	9	,	,	PUNCT
ijassa-1585	117	10	a	a	DET
ijassa-1585	117	11	representation	representation	NOUN
ijassa-1585	117	12	using	use	VERB
ijassa-1585	117	13	the	the	DET
ijassa-1585	117	14	copula	copula	NOUN
ijassa-1585	117	15	of	of	ADP
ijassa-1585	117	16	the	the	DET
ijassa-1585	117	17	joint	joint	ADJ
ijassa-1585	117	18	distribution	distribution	NOUN
ijassa-1585	117	19	(	(	PUNCT
ijassa-1585	117	20	ξ1	ξ1	NOUN
ijassa-1585	117	21	,	,	PUNCT
ijassa-1585	117	22	ξ2	ξ2	NOUN
ijassa-1585	117	23	)	)	PUNCT
ijassa-1585	117	24	exists	exist	VERB
ijassa-1585	117	25	and	and	CCONJ
ijassa-1585	117	26	is	be	AUX
ijassa-1585	117	27	unique	unique	ADJ
ijassa-1585	117	28	fξ1,ξ2(x1	fξ1,ξ2(x1	ADJ
ijassa-1585	117	29	,	,	PUNCT
ijassa-1585	117	30	x2	x2	PROPN
ijassa-1585	117	31	)	)	PUNCT
ijassa-1585	118	1	=	=	SYM
ijassa-1585	118	2	p	p	X
ijassa-1585	118	3	(	(	PUNCT
ijassa-1585	118	4	ξ1	ξ1	PROPN
ijassa-1585	118	5	<	<	X
ijassa-1585	118	6	x1	x1	PROPN
ijassa-1585	118	7	,	,	PUNCT
ijassa-1585	118	8	ξ2	ξ2	NOUN
ijassa-1585	118	9	<	<	X
ijassa-1585	118	10	x2	x2	PROPN
ijassa-1585	118	11	)	)	PUNCT
ijassa-1585	118	12	=	=	X
ijassa-1585	119	1	c(f	c(f	PROPN
ijassa-1585	119	2	(	(	PUNCT
ijassa-1585	119	3	x1	x1	PROPN
ijassa-1585	119	4	)	)	PUNCT
ijassa-1585	119	5	,	,	PUNCT
ijassa-1585	119	6	f	f	PROPN
ijassa-1585	119	7	(	(	PUNCT
ijassa-1585	119	8	x2	x2	PROPN
ijassa-1585	119	9	)	)	PUNCT
ijassa-1585	119	10	)	)	PUNCT
ijassa-1585	119	11	.	.	PUNCT
ijassa-1585	120	1	due	due	ADP
ijassa-1585	120	2	to	to	ADP
ijassa-1585	120	3	(	(	PUNCT
ijassa-1585	120	4	3.6	3.6	NUM
ijassa-1585	120	5	)	)	PUNCT
ijassa-1585	120	6	we	we	PRON
ijassa-1585	120	7	obtain	obtain	VERB
ijassa-1585	120	8	fr(x	fr(x	X
ijassa-1585	120	9	)	)	PUNCT
ijassa-1585	120	10	=	=	SYM
ijassa-1585	121	1	c(f	c(f	X
ijassa-1585	121	2	(	(	PUNCT
ijassa-1585	121	3	x	x	NOUN
ijassa-1585	121	4	)	)	PUNCT
ijassa-1585	121	5	,	,	PUNCT
ijassa-1585	121	6	f	f	PROPN
ijassa-1585	121	7	(	(	PUNCT
ijassa-1585	121	8	x	x	NOUN
ijassa-1585	121	9	)	)	PUNCT
ijassa-1585	121	10	)	)	PUNCT
ijassa-1585	122	1	=	=	SYM
ijassa-1585	122	2	δ(f	δ(f	PROPN
ijassa-1585	122	3	(	(	PUNCT
ijassa-1585	122	4	x	x	NOUN
ijassa-1585	122	5	)	)	PUNCT
ijassa-1585	122	6	)	)	PUNCT
ijassa-1585	122	7	,	,	PUNCT
ijassa-1585	122	8	(	(	PUNCT
ijassa-1585	122	9	4.7	4.7	NUM
ijassa-1585	122	10	)	)	PUNCT
ijassa-1585	122	11	where	where	SCONJ
ijassa-1585	122	12	δ(u	δ(u	NOUN
ijassa-1585	122	13	)	)	PUNCT
ijassa-1585	122	14	=	=	SYM
ijassa-1585	122	15	c(u	c(u	PROPN
ijassa-1585	122	16	,	,	PUNCT
ijassa-1585	122	17	u	u	NOUN
ijassa-1585	122	18	)	)	PUNCT
ijassa-1585	122	19	is	be	AUX
ijassa-1585	122	20	the	the	DET
ijassa-1585	122	21	diagonal	diagonal	ADJ
ijassa-1585	122	22	section	section	NOUN
ijassa-1585	122	23	of	of	ADP
ijassa-1585	122	24	the	the	DET
ijassa-1585	122	25	copula	copula	NOUN
ijassa-1585	122	26	,	,	PUNCT
ijassa-1585	122	27	which	which	PRON
ijassa-1585	122	28	gives	give	VERB
ijassa-1585	122	29	us	we	PRON
ijassa-1585	122	30	the	the	DET
ijassa-1585	122	31	equation	equation	NOUN
ijassa-1585	122	32	for	for	ADP
ijassa-1585	122	33	the	the	DET
ijassa-1585	122	34	quantile	quantile	ADJ
ijassa-1585	122	35	level	level	NOUN
ijassa-1585	122	36	p	p	NOUN
ijassa-1585	122	37	of	of	ADP
ijassa-1585	122	38	the	the	DET
ijassa-1585	122	39	response	response	NOUN
ijassa-1585	122	40	time	time	NOUN
ijassa-1585	122	41	distribution	distribution	NOUN
ijassa-1585	122	42	fr(xp	fr(xp	NOUN
ijassa-1585	122	43	)	)	PUNCT
ijassa-1585	123	1	=	=	SYM
ijassa-1585	123	2	δ(f	δ(f	PROPN
ijassa-1585	123	3	(	(	PUNCT
ijassa-1585	123	4	xp	xp	ADJ
ijassa-1585	123	5	)	)	PUNCT
ijassa-1585	123	6	)	)	PUNCT
ijassa-1585	124	1	=	=	PUNCT
ijassa-1585	125	1	p	p	X
ijassa-1585	125	2	,	,	PUNCT
ijassa-1585	125	3	so	so	ADV
ijassa-1585	125	4	xp	xp	ADV
ijassa-1585	126	1	=	=	SYM
ijassa-1585	126	2	f−1	f−1	PROPN
ijassa-1585	126	3	r	r	NOUN
ijassa-1585	126	4	(	(	PUNCT
ijassa-1585	126	5	p	p	NOUN
ijassa-1585	126	6	)	)	PUNCT
ijassa-1585	126	7	=	=	SYM
ijassa-1585	126	8	f−1(δ−1(p	f−1(δ−1(p	NOUN
ijassa-1585	126	9	)	)	PUNCT
ijassa-1585	126	10	)	)	PUNCT
ijassa-1585	126	11	.	.	PUNCT
ijassa-1585	127	1	(	(	PUNCT
ijassa-1585	127	2	4.8	4.8	NUM
ijassa-1585	127	3	)	)	PUNCT
ijassa-1585	127	4	taking	take	VERB
ijassa-1585	127	5	into	into	ADP
ijassa-1585	127	6	account	account	NOUN
ijassa-1585	127	7	the	the	DET
ijassa-1585	127	8	inverse	inverse	NOUN
ijassa-1585	127	9	transformation	transformation	NOUN
ijassa-1585	127	10	method	method	NOUN
ijassa-1585	127	11	for	for	ADP
ijassa-1585	127	12	generating	generate	VERB
ijassa-1585	127	13	random	random	ADJ
ijassa-1585	127	14	variables	variable	NOUN
ijassa-1585	127	15	with	with	ADP
ijassa-1585	127	16	a	a	DET
ijassa-1585	127	17	given	give	VERB
ijassa-1585	127	18	distribution	distribution	NOUN
ijassa-1585	127	19	function	function	NOUN
ijassa-1585	127	20	,	,	PUNCT
ijassa-1585	127	21	consider	consider	VERB
ijassa-1585	127	22	ui	ui	PROPN
ijassa-1585	127	23	=	=	SYM
ijassa-1585	127	24	1−	1−	NUM
ijassa-1585	127	25	e−(µ−λ)ξi	e−(µ−λ)ξi	PROPN
ijassa-1585	127	26	,	,	PUNCT
ijassa-1585	127	27	i	i	PRON
ijassa-1585	127	28	=	=	NOUN
ijassa-1585	127	29	1	1	NUM
ijassa-1585	127	30	,	,	PUNCT
ijassa-1585	127	31	2	2	NUM
ijassa-1585	127	32	,	,	PUNCT
ijassa-1585	127	33	these	these	DET
ijassa-1585	127	34	random	random	ADJ
ijassa-1585	127	35	variables	variable	NOUN
ijassa-1585	127	36	will	will	AUX
ijassa-1585	127	37	have	have	VERB
ijassa-1585	127	38	a	a	DET
ijassa-1585	127	39	uniform	uniform	ADJ
ijassa-1585	127	40	distribution	distribution	NOUN
ijassa-1585	127	41	on	on	ADP
ijassa-1585	127	42	the	the	DET
ijassa-1585	127	43	interval	interval	NOUN
ijassa-1585	127	44	[	[	X
ijassa-1585	127	45	0	0	NUM
ijassa-1585	127	46	,	,	PUNCT
ijassa-1585	127	47	1	1	NUM
ijassa-1585	127	48	]	]	PUNCT
ijassa-1585	127	49	,	,	PUNCT
ijassa-1585	127	50	i.e.	i.e.	X
ijassa-1585	127	51	ui	ui	X
ijassa-1585	127	52	∼	∼	NOUN
ijassa-1585	127	53	r[0	r[0	NOUN
ijassa-1585	127	54	,	,	PUNCT
ijassa-1585	127	55	1	1	NUM
ijassa-1585	127	56	]	]	PUNCT
ijassa-1585	127	57	.	.	PUNCT
ijassa-1585	128	1	then	then	ADV
ijassa-1585	128	2	v	v	X
ijassa-1585	128	3	=	=	SYM
ijassa-1585	128	4	max{u1	max{u1	NOUN
ijassa-1585	128	5	,	,	PUNCT
ijassa-1585	128	6	u2	u2	NOUN
ijassa-1585	128	7	}	}	PUNCT
ijassa-1585	128	8	=	=	SYM
ijassa-1585	128	9	1−	1−	NUM
ijassa-1585	128	10	e−(µ−λ)·max{ξ1,ξ2	e−(µ−λ)·max{ξ1,ξ2	PROPN
ijassa-1585	128	11	}	}	PUNCT
ijassa-1585	128	12	=	=	SYM
ijassa-1585	128	13	1−	1−	NUM
ijassa-1585	128	14	e−(µ−λ)r	e−(µ−λ)r	ADJ
ijassa-1585	128	15	.	.	PUNCT
ijassa-1585	129	1	(	(	PUNCT
ijassa-1585	129	2	4.9	4.9	NUM
ijassa-1585	129	3	)	)	PUNCT
ijassa-1585	129	4	figure	figure	NOUN
ijassa-1585	129	5	4.2	4.2	NUM
ijassa-1585	129	6	shows	show	VERB
ijassa-1585	129	7	the	the	DET
ijassa-1585	129	8	set	set	NOUN
ijassa-1585	129	9	of	of	ADP
ijassa-1585	129	10	points	point	NOUN
ijassa-1585	129	11	(	(	PUNCT
ijassa-1585	129	12	u1	u1	NOUN
ijassa-1585	129	13	,	,	PUNCT
ijassa-1585	129	14	u2	u2	PROPN
ijassa-1585	129	15	)	)	PUNCT
ijassa-1585	129	16	at	at	ADP
ijassa-1585	129	17	ρ	ρ	PROPN
ijassa-1585	129	18	=	=	SYM
ijassa-1585	129	19	0.9	0.9	NUM
ijassa-1585	129	20	for	for	ADP
ijassa-1585	129	21	a	a	DET
ijassa-1585	129	22	fork	fork	NOUN
ijassa-1585	129	23	-	-	PUNCT
ijassa-1585	129	24	join	join	NOUN
ijassa-1585	129	25	system	system	NOUN
ijassa-1585	129	26	with	with	ADP
ijassa-1585	129	27	two	two	NUM
ijassa-1585	129	28	subsystems	subsystem	NOUN
ijassa-1585	129	29	m	m	VERB
ijassa-1585	129	30	|m	|m	NOUN
ijassa-1585	129	31	|1	|1	X
ijassa-1585	129	32	and	and	CCONJ
ijassa-1585	129	33	for	for	ADP
ijassa-1585	129	34	the	the	DET
ijassa-1585	129	35	case	case	NOUN
ijassa-1585	129	36	of	of	ADP
ijassa-1585	129	37	two	two	NUM
ijassa-1585	129	38	independent	independent	ADJ
ijassa-1585	129	39	parallel	parallel	ADJ
ijassa-1585	129	40	operating	operate	VERB
ijassa-1585	129	41	qss	qss	PROPN
ijassa-1585	129	42	m	m	VERB
ijassa-1585	129	43	|m	|m	NOUN
ijassa-1585	129	44	|1	|1	X
ijassa-1585	129	45	with	with	ADP
ijassa-1585	129	46	copyright	copyright	NOUN
ijassa-1585	129	47	©	©	PROPN
ijassa-1585	129	48	2024	2024	NUM
ijassa-1585	129	49	assa	assa	NOUN
ijassa-1585	129	50	.	.	PUNCT
ijassa-1585	130	1	adv	adv	PROPN
ijassa-1585	130	2	syst	syst	PROPN
ijassa-1585	130	3	sci	sci	PROPN
ijassa-1585	130	4	appl	appl	PROPN
ijassa-1585	130	5	(	(	PUNCT
ijassa-1585	130	6	2024	2024	NUM
ijassa-1585	130	7	)	)	PUNCT
ijassa-1585	130	8	6	6	NUM
ijassa-1585	130	9	a.v	a.v	PROPN
ijassa-1585	130	10	.	.	PROPN
ijassa-1585	130	11	gorbunova	gorbunova	PROPN
ijassa-1585	130	12	,	,	PUNCT
ijassa-1585	130	13	a.v	a.v	PROPN
ijassa-1585	130	14	.	.	PROPN
ijassa-1585	130	15	lebedev	lebedev	PROPN
ijassa-1585	130	16	the	the	DET
ijassa-1585	130	17	same	same	ADJ
ijassa-1585	130	18	parameters	parameter	NOUN
ijassa-1585	130	19	.	.	PUNCT
ijassa-1585	131	1	the	the	DET
ijassa-1585	131	2	number	number	NOUN
ijassa-1585	131	3	of	of	ADP
ijassa-1585	131	4	pairs	pair	NOUN
ijassa-1585	131	5	of	of	ADP
ijassa-1585	131	6	dots	dot	NOUN
ijassa-1585	131	7	is	be	AUX
ijassa-1585	131	8	200	200	NUM
ijassa-1585	131	9	thousand	thousand	NUM
ijassa-1585	131	10	;	;	PUNCT
ijassa-1585	131	11	increasing	increase	VERB
ijassa-1585	131	12	their	their	PRON
ijassa-1585	131	13	number	number	NOUN
ijassa-1585	131	14	overloads	overload	VERB
ijassa-1585	131	15	the	the	DET
ijassa-1585	131	16	illustration	illustration	NOUN
ijassa-1585	131	17	.	.	PUNCT
ijassa-1585	132	1	as	as	SCONJ
ijassa-1585	132	2	you	you	PRON
ijassa-1585	132	3	can	can	AUX
ijassa-1585	132	4	see	see	VERB
ijassa-1585	132	5	,	,	PUNCT
ijassa-1585	132	6	in	in	ADP
ijassa-1585	132	7	figure	figure	NOUN
ijassa-1585	132	8	4.2	4.2	NUM
ijassa-1585	132	9	b	b	NOUN
ijassa-1585	132	10	)	)	PUNCT
ijassa-1585	132	11	the	the	DET
ijassa-1585	132	12	points	point	NOUN
ijassa-1585	132	13	are	be	AUX
ijassa-1585	132	14	distributed	distribute	VERB
ijassa-1585	132	15	uniformly	uniformly	ADV
ijassa-1585	132	16	inside	inside	ADP
ijassa-1585	132	17	the	the	DET
ijassa-1585	132	18	unit	unit	NOUN
ijassa-1585	132	19	square	square	NOUN
ijassa-1585	132	20	,	,	PUNCT
ijassa-1585	132	21	which	which	PRON
ijassa-1585	132	22	is	be	AUX
ijassa-1585	132	23	typical	typical	ADJ
ijassa-1585	132	24	for	for	ADP
ijassa-1585	132	25	the	the	DET
ijassa-1585	132	26	case	case	NOUN
ijassa-1585	132	27	of	of	ADP
ijassa-1585	132	28	independent	independent	ADJ
ijassa-1585	132	29	random	random	ADJ
ijassa-1585	132	30	variables	variable	NOUN
ijassa-1585	132	31	.	.	PUNCT
ijassa-1585	133	1	in	in	ADP
ijassa-1585	133	2	4.2	4.2	NUM
ijassa-1585	133	3	a	a	NOUN
ijassa-1585	133	4	)	)	PUNCT
ijassa-1585	133	5	such	such	ADJ
ijassa-1585	133	6	uniformity	uniformity	NOUN
ijassa-1585	133	7	in	in	ADP
ijassa-1585	133	8	the	the	DET
ijassa-1585	133	9	distribution	distribution	NOUN
ijassa-1585	133	10	of	of	ADP
ijassa-1585	133	11	points	point	NOUN
ijassa-1585	133	12	is	be	AUX
ijassa-1585	133	13	no	no	ADV
ijassa-1585	133	14	longer	long	ADV
ijassa-1585	133	15	observed	observe	VERB
ijassa-1585	133	16	,	,	PUNCT
ijassa-1585	133	17	even	even	ADV
ijassa-1585	133	18	though	though	SCONJ
ijassa-1585	133	19	the	the	DET
ijassa-1585	133	20	value	value	NOUN
ijassa-1585	133	21	of	of	ADP
ijassa-1585	133	22	the	the	DET
ijassa-1585	133	23	pearson	pearson	NOUN
ijassa-1585	133	24	correlation	correlation	NOUN
ijassa-1585	133	25	coefficient	coefficient	NOUN
ijassa-1585	133	26	between	between	ADP
ijassa-1585	133	27	ξ1	ξ1	NOUN
ijassa-1585	133	28	and	and	CCONJ
ijassa-1585	133	29	ξ2	ξ2	NOUN
ijassa-1585	133	30	is	be	AUX
ijassa-1585	133	31	small	small	ADJ
ijassa-1585	133	32	(	(	PUNCT
ijassa-1585	133	33	rp	rp	NOUN
ijassa-1585	133	34	=	=	NOUN
ijassa-1585	133	35	0.34875	0.34875	NUM
ijassa-1585	133	36	)	)	PUNCT
ijassa-1585	133	37	,	,	PUNCT
ijassa-1585	133	38	and	and	CCONJ
ijassa-1585	133	39	visual	visual	ADJ
ijassa-1585	133	40	analysis	analysis	NOUN
ijassa-1585	133	41	is	be	AUX
ijassa-1585	133	42	somewhat	somewhat	ADV
ijassa-1585	133	43	difficult	difficult	ADJ
ijassa-1585	133	44	,	,	PUNCT
ijassa-1585	133	45	however	however	ADV
ijassa-1585	133	46	,	,	PUNCT
ijassa-1585	133	47	the	the	DET
ijassa-1585	133	48	relationship	relationship	NOUN
ijassa-1585	133	49	betweenu1	betweenu1	VERB
ijassa-1585	134	1	=	=	SYM
ijassa-1585	134	2	f	f	PROPN
ijassa-1585	134	3	(	(	PUNCT
ijassa-1585	134	4	ξ1	ξ1	NOUN
ijassa-1585	134	5	)	)	PUNCT
ijassa-1585	134	6	andu2	andu2	NOUN
ijassa-1585	135	1	=	=	PUNCT
ijassa-1585	135	2	f	f	PROPN
ijassa-1585	135	3	(	(	PUNCT
ijassa-1585	135	4	ξ2	ξ2	NOUN
ijassa-1585	135	5	)	)	PUNCT
ijassa-1585	135	6	in	in	ADP
ijassa-1585	135	7	this	this	DET
ijassa-1585	135	8	case	case	NOUN
ijassa-1585	135	9	is	be	AUX
ijassa-1585	135	10	obviously	obviously	ADV
ijassa-1585	135	11	traceable	traceable	ADJ
ijassa-1585	135	12	.	.	PUNCT
ijassa-1585	136	1	a	a	DET
ijassa-1585	136	2	)	)	PUNCT
ijassa-1585	136	3	b	b	NOUN
ijassa-1585	136	4	)	)	PUNCT
ijassa-1585	136	5	fig	fig	NOUN
ijassa-1585	136	6	.	.	PUNCT
ijassa-1585	137	1	4.2	4.2	NUM
ijassa-1585	137	2	.	.	PUNCT
ijassa-1585	137	3	illustration	illustration	NOUN
ijassa-1585	137	4	of	of	ADP
ijassa-1585	137	5	the	the	DET
ijassa-1585	137	6	presence	presence	NOUN
ijassa-1585	137	7	/	/	SYM
ijassa-1585	137	8	absence	absence	NOUN
ijassa-1585	137	9	of	of	ADP
ijassa-1585	137	10	dependence	dependence	NOUN
ijassa-1585	137	11	between	between	ADP
ijassa-1585	137	12	u1	u1	NOUN
ijassa-1585	137	13	and	and	CCONJ
ijassa-1585	137	14	u2	u2	NOUN
ijassa-1585	137	15	at	at	ADP
ijassa-1585	137	16	ρ	ρ	PROPN
ijassa-1585	137	17	=	=	SYM
ijassa-1585	137	18	0.9	0.9	NUM
ijassa-1585	137	19	in	in	ADP
ijassa-1585	137	20	the	the	DET
ijassa-1585	137	21	case	case	NOUN
ijassa-1585	137	22	of	of	ADP
ijassa-1585	137	23	a	a	DET
ijassa-1585	137	24	)	)	PUNCT
ijassa-1585	137	25	fork	fork	NOUN
ijassa-1585	137	26	-	-	PUNCT
ijassa-1585	137	27	join	join	NOUN
ijassa-1585	137	28	qs	qs	NOUN
ijassa-1585	137	29	with	with	ADP
ijassa-1585	137	30	two	two	NUM
ijassa-1585	137	31	subsystems	subsystem	NOUN
ijassa-1585	137	32	m	m	VERB
ijassa-1585	137	33	|m	|m	NOUN
ijassa-1585	137	34	|1	|1	PRON
ijassa-1585	137	35	;	;	PUNCT
ijassa-1585	137	36	b	b	X
ijassa-1585	137	37	)	)	PUNCT
ijassa-1585	137	38	two	two	NUM
ijassa-1585	137	39	parallel	parallel	ADJ
ijassa-1585	137	40	functioning	function	VERB
ijassa-1585	137	41	qs	qs	NOUN
ijassa-1585	137	42	m	m	NOUN
ijassa-1585	137	43	|m	|m	NOUN
ijassa-1585	137	44	|1	|1	PRON
ijassa-1585	137	45	.	.	PUNCT
ijassa-1585	138	1	the	the	DET
ijassa-1585	138	2	diagonal	diagonal	ADJ
ijassa-1585	138	3	section	section	NOUN
ijassa-1585	138	4	of	of	ADP
ijassa-1585	138	5	the	the	DET
ijassa-1585	138	6	copula	copula	NOUN
ijassa-1585	138	7	can	can	AUX
ijassa-1585	138	8	be	be	AUX
ijassa-1585	138	9	estimated	estimate	VERB
ijassa-1585	138	10	as	as	SCONJ
ijassa-1585	138	11	follows	follow	VERB
ijassa-1585	138	12	.	.	PUNCT
ijassa-1585	139	1	we	we	PRON
ijassa-1585	139	2	have	have	VERB
ijassa-1585	139	3	δ(u	δ(u	NUM
ijassa-1585	139	4	)	)	PUNCT
ijassa-1585	140	1	=	=	SYM
ijassa-1585	140	2	c(u	c(u	PROPN
ijassa-1585	140	3	,	,	PUNCT
ijassa-1585	140	4	u	u	NOUN
ijassa-1585	140	5	)	)	PUNCT
ijassa-1585	140	6	=	=	SYM
ijassa-1585	141	1	p	p	NOUN
ijassa-1585	141	2	(	(	PUNCT
ijassa-1585	141	3	u1	u1	PROPN
ijassa-1585	141	4	<	<	X
ijassa-1585	141	5	u	u	PROPN
ijassa-1585	141	6	,	,	PUNCT
ijassa-1585	141	7	u2	u2	PROPN
ijassa-1585	141	8	<	<	X
ijassa-1585	141	9	u	u	NOUN
ijassa-1585	141	10	)	)	PUNCT
ijassa-1585	141	11	=	=	SYM
ijassa-1585	142	1	p	p	X
ijassa-1585	142	2	(	(	PUNCT
ijassa-1585	142	3	max(u1	max(u1	NOUN
ijassa-1585	142	4	,	,	PUNCT
ijassa-1585	142	5	u2	u2	PROPN
ijassa-1585	142	6	)	)	PUNCT
ijassa-1585	142	7	<	<	X
ijassa-1585	142	8	u	u	NOUN
ijassa-1585	142	9	)	)	PUNCT
ijassa-1585	142	10	=	=	SYM
ijassa-1585	143	1	p	p	X
ijassa-1585	143	2	(	(	PUNCT
ijassa-1585	143	3	v	v	ADP
ijassa-1585	143	4	<	<	X
ijassa-1585	143	5	u	u	NOUN
ijassa-1585	143	6	)	)	PUNCT
ijassa-1585	143	7	=	=	SYM
ijassa-1585	144	1	p	p	PROPN
ijassa-1585	144	2	,	,	PUNCT
ijassa-1585	144	3	i.	i.	PROPN
ijassa-1585	144	4	e.	e.	PROPN
ijassa-1585	144	5	δ(up	δ(up	PROPN
ijassa-1585	144	6	)	)	PUNCT
ijassa-1585	145	1	=	=	SYM
ijassa-1585	145	2	p	p	X
ijassa-1585	145	3	(	(	PUNCT
ijassa-1585	145	4	v	v	ADP
ijassa-1585	145	5	<	<	X
ijassa-1585	145	6	up	up	ADP
ijassa-1585	145	7	)	)	PUNCT
ijassa-1585	146	1	=	=	SYM
ijassa-1585	147	1	p	p	X
ijassa-1585	147	2	,	,	PUNCT
ijassa-1585	147	3	where	where	SCONJ
ijassa-1585	147	4	up	up	ADV
ijassa-1585	147	5	is	be	AUX
ijassa-1585	147	6	the	the	DET
ijassa-1585	147	7	quantile	quantile	NOUN
ijassa-1585	147	8	of	of	ADP
ijassa-1585	147	9	the	the	DET
ijassa-1585	147	10	distribution	distribution	NOUN
ijassa-1585	147	11	of	of	ADP
ijassa-1585	147	12	the	the	DET
ijassa-1585	147	13	random	random	ADJ
ijassa-1585	147	14	variable	variable	NOUN
ijassa-1585	147	15	v	v	NOUN
ijassa-1585	147	16	.	.	PUNCT
ijassa-1585	148	1	using	use	VERB
ijassa-1585	148	2	realizations	realization	NOUN
ijassa-1585	148	3	vi	vi	NOUN
ijassa-1585	148	4	of	of	ADP
ijassa-1585	148	5	the	the	DET
ijassa-1585	148	6	random	random	ADJ
ijassa-1585	148	7	variable	variable	NOUN
ijassa-1585	148	8	v	v	NOUN
ijassa-1585	148	9	,	,	PUNCT
ijassa-1585	148	10	obtained	obtain	VERB
ijassa-1585	148	11	through	through	ADP
ijassa-1585	148	12	simulation	simulation	NOUN
ijassa-1585	148	13	of	of	ADP
ijassa-1585	148	14	the	the	DET
ijassa-1585	148	15	values	value	NOUN
ijassa-1585	148	16	of	of	ADP
ijassa-1585	148	17	random	random	ADJ
ijassa-1585	148	18	stay	stay	NOUN
ijassa-1585	148	19	times	time	NOUN
ijassa-1585	148	20	in	in	ADP
ijassa-1585	148	21	the	the	DET
ijassa-1585	148	22	fork	fork	NOUN
ijassa-1585	148	23	-	-	PUNCT
ijassa-1585	148	24	join	join	NOUN
ijassa-1585	148	25	qs	qs	NOUN
ijassa-1585	148	26	ri	ri	NOUN
ijassa-1585	148	27	and	and	CCONJ
ijassa-1585	148	28	further	far	ADV
ijassa-1585	148	29	substituting	substitute	VERB
ijassa-1585	148	30	them	they	PRON
ijassa-1585	148	31	into	into	ADP
ijassa-1585	148	32	the	the	DET
ijassa-1585	148	33	formula	formula	NOUN
ijassa-1585	148	34	(	(	PUNCT
ijassa-1585	148	35	4.9	4.9	NUM
ijassa-1585	148	36	)	)	PUNCT
ijassa-1585	148	37	,	,	PUNCT
ijassa-1585	148	38	we	we	PRON
ijassa-1585	148	39	construct	construct	VERB
ijassa-1585	148	40	an	an	DET
ijassa-1585	148	41	estimate	estimate	NOUN
ijassa-1585	148	42	of	of	ADP
ijassa-1585	148	43	the	the	DET
ijassa-1585	148	44	diagonal	diagonal	ADJ
ijassa-1585	148	45	section	section	NOUN
ijassa-1585	148	46	δ(u	δ(u	PROPN
ijassa-1585	148	47	)	)	PUNCT
ijassa-1585	148	48	,	,	PUNCT
ijassa-1585	148	49	but	but	CCONJ
ijassa-1585	148	50	in	in	ADP
ijassa-1585	148	51	fact	fact	NOUN
ijassa-1585	148	52	,	,	PUNCT
ijassa-1585	148	53	probabilities	probability	NOUN
ijassa-1585	148	54	p.	p.	NOUN
ijassa-1585	148	55	in	in	ADP
ijassa-1585	148	56	other	other	ADJ
ijassa-1585	148	57	words	word	NOUN
ijassa-1585	148	58	,	,	PUNCT
ijassa-1585	148	59	we	we	PRON
ijassa-1585	148	60	construct	construct	VERB
ijassa-1585	148	61	an	an	DET
ijassa-1585	148	62	empirical	empirical	ADJ
ijassa-1585	148	63	estimation	estimation	NOUN
ijassa-1585	148	64	of	of	ADP
ijassa-1585	148	65	the	the	DET
ijassa-1585	148	66	diagonal	diagonal	ADJ
ijassa-1585	148	67	section	section	NOUN
ijassa-1585	148	68	using	use	VERB
ijassa-1585	148	69	quantiles	quantile	NOUN
ijassa-1585	148	70	of	of	ADP
ijassa-1585	148	71	the	the	DET
ijassa-1585	148	72	v	v	NOUN
ijassa-1585	148	73	distribution	distribution	NOUN
ijassa-1585	148	74	.	.	PUNCT
ijassa-1585	149	1	to	to	PART
ijassa-1585	149	2	do	do	VERB
ijassa-1585	149	3	this	this	PRON
ijassa-1585	149	4	,	,	PUNCT
ijassa-1585	149	5	we	we	PRON
ijassa-1585	149	6	order	order	VERB
ijassa-1585	149	7	the	the	DET
ijassa-1585	149	8	values	value	NOUN
ijassa-1585	149	9	v	v	NUM
ijassa-1585	149	10	obtained	obtain	VERB
ijassa-1585	149	11	through	through	ADP
ijassa-1585	149	12	simulation	simulation	NOUN
ijassa-1585	149	13	:	:	PUNCT
ijassa-1585	149	14	v(1	v(1	PROPN
ijassa-1585	149	15	)	)	PUNCT
ijassa-1585	149	16	,	,	PUNCT
ijassa-1585	149	17	v(2	v(2	PROPN
ijassa-1585	149	18	)	)	PUNCT
ijassa-1585	149	19	,	,	PUNCT
ijassa-1585	149	20	...	...	PUNCT
ijassa-1585	149	21	,	,	PUNCT
ijassa-1585	149	22	v(n	v(n	PROPN
ijassa-1585	149	23	)	)	PUNCT
ijassa-1585	149	24	,	,	PUNCT
ijassa-1585	149	25	where	where	SCONJ
ijassa-1585	149	26	v(k	v(k	NOUN
ijassa-1585	149	27	)	)	PUNCT
ijassa-1585	149	28	—	—	PUNCT
ijassa-1585	149	29	this	this	PRON
ijassa-1585	149	30	is	be	AUX
ijassa-1585	149	31	the	the	DET
ijassa-1585	149	32	k	k	NOUN
ijassa-1585	149	33	-	-	PUNCT
ijassa-1585	149	34	th	th	VERB
ijassa-1585	149	35	order	order	NOUN
ijassa-1585	149	36	statistic	statistic	NOUN
ijassa-1585	149	37	,	,	PUNCT
ijassa-1585	149	38	k	k	PROPN
ijassa-1585	149	39	=	=	SYM
ijassa-1585	149	40	1	1	NUM
ijassa-1585	149	41	,	,	PUNCT
ijassa-1585	149	42	...	...	PUNCT
ijassa-1585	149	43	,	,	PUNCT
ijassa-1585	149	44	n	n	CCONJ
ijassa-1585	149	45	,	,	PUNCT
ijassa-1585	149	46	and	and	CCONJ
ijassa-1585	149	47	from	from	ADP
ijassa-1585	149	48	the	the	DET
ijassa-1585	149	49	points	point	NOUN
ijassa-1585	149	50	(	(	PUNCT
ijassa-1585	149	51	v(k	v(k	PROPN
ijassa-1585	149	52	)	)	PUNCT
ijassa-1585	149	53	,	,	PUNCT
ijassa-1585	149	54	k/(n	k/(n	X
ijassa-1585	149	55	+	+	NOUN
ijassa-1585	149	56	1	1	NUM
ijassa-1585	149	57	)	)	PUNCT
ijassa-1585	149	58	)	)	PUNCT
ijassa-1585	150	1	we	we	PRON
ijassa-1585	150	2	determine	determine	VERB
ijassa-1585	150	3	the	the	DET
ijassa-1585	150	4	estimates	estimate	NOUN
ijassa-1585	150	5	(	(	PUNCT
ijassa-1585	150	6	up	up	ADP
ijassa-1585	150	7	,	,	PUNCT
ijassa-1585	150	8	p	p	NOUN
ijassa-1585	150	9	)	)	PUNCT
ijassa-1585	150	10	for	for	ADP
ijassa-1585	150	11	probability	probability	NOUN
ijassa-1585	150	12	values	value	NOUN
ijassa-1585	150	13	from	from	ADP
ijassa-1585	150	14	the	the	DET
ijassa-1585	150	15	interval	interval	NOUN
ijassa-1585	150	16	of	of	ADP
ijassa-1585	150	17	interest	interest	NOUN
ijassa-1585	150	18	to	to	ADP
ijassa-1585	150	19	us	we	PRON
ijassa-1585	150	20	p	p	X
ijassa-1585	150	21	∈	∈	PROPN
ijassa-1585	150	22	{	{	PUNCT
ijassa-1585	150	23	0.2	0.2	NUM
ijassa-1585	150	24	,	,	PUNCT
ijassa-1585	150	25	0.25	0.25	NUM
ijassa-1585	150	26	,	,	PUNCT
ijassa-1585	150	27	0.30	0.30	NUM
ijassa-1585	150	28	,	,	PUNCT
ijassa-1585	150	29	...	...	PUNCT
ijassa-1585	150	30	,	,	PUNCT
ijassa-1585	150	31	0.90	0.90	NUM
ijassa-1585	150	32	}	}	PUNCT
ijassa-1585	150	33	,	,	PUNCT
ijassa-1585	150	34	for	for	ADP
ijassa-1585	150	35	a	a	DET
ijassa-1585	150	36	specific	specific	ADJ
ijassa-1585	150	37	fixed	fix	VERB
ijassa-1585	150	38	value	value	NOUN
ijassa-1585	150	39	of	of	ADP
ijassa-1585	150	40	the	the	DET
ijassa-1585	150	41	load	load	NOUN
ijassa-1585	150	42	factor	factor	NOUN
ijassa-1585	150	43	ρ	ρ	PROPN
ijassa-1585	150	44	∈	∈	PROPN
ijassa-1585	150	45	{	{	PUNCT
ijassa-1585	150	46	0.10	0.10	NUM
ijassa-1585	150	47	,	,	PUNCT
ijassa-1585	150	48	0.15	0.15	NUM
ijassa-1585	150	49	,	,	PUNCT
ijassa-1585	150	50	0.20	0.20	NUM
ijassa-1585	150	51	,	,	PUNCT
ijassa-1585	150	52	...	...	PUNCT
ijassa-1585	150	53	,	,	PUNCT
ijassa-1585	150	54	0.90	0.90	NUM
ijassa-1585	150	55	}	}	PUNCT
ijassa-1585	150	56	.	.	PUNCT
ijassa-1585	151	1	the	the	DET
ijassa-1585	151	2	choice	choice	NOUN
ijassa-1585	151	3	of	of	ADP
ijassa-1585	151	4	p	p	NOUN
ijassa-1585	151	5	values	value	NOUN
ijassa-1585	151	6	is	be	AUX
ijassa-1585	151	7	due	due	ADJ
ijassa-1585	151	8	to	to	ADP
ijassa-1585	151	9	the	the	DET
ijassa-1585	151	10	fact	fact	NOUN
ijassa-1585	151	11	that	that	SCONJ
ijassa-1585	151	12	,	,	PUNCT
ijassa-1585	151	13	as	as	ADP
ijassa-1585	151	14	a	a	DET
ijassa-1585	151	15	rule	rule	NOUN
ijassa-1585	151	16	,	,	PUNCT
ijassa-1585	151	17	quantiles	quantile	NOUN
ijassa-1585	151	18	of	of	ADP
ijassa-1585	151	19	higher	high	ADJ
ijassa-1585	151	20	levels	level	NOUN
ijassa-1585	151	21	are	be	AUX
ijassa-1585	151	22	of	of	ADP
ijassa-1585	151	23	greater	great	ADJ
ijassa-1585	151	24	interest	interest	NOUN
ijassa-1585	151	25	,	,	PUNCT
ijassa-1585	151	26	so	so	SCONJ
ijassa-1585	151	27	we	we	PRON
ijassa-1585	151	28	begin	begin	VERB
ijassa-1585	151	29	to	to	PART
ijassa-1585	151	30	consider	consider	VERB
ijassa-1585	151	31	p	p	NOUN
ijassa-1585	151	32	values	value	NOUN
ijassa-1585	151	33	from	from	ADP
ijassa-1585	151	34	0.2	0.2	NUM
ijassa-1585	151	35	.	.	PUNCT
ijassa-1585	152	1	next	next	ADV
ijassa-1585	152	2	,	,	PUNCT
ijassa-1585	152	3	based	base	VERB
ijassa-1585	152	4	on	on	ADP
ijassa-1585	152	5	the	the	DET
ijassa-1585	152	6	available	available	ADJ
ijassa-1585	152	7	data	datum	NOUN
ijassa-1585	152	8	,	,	PUNCT
ijassa-1585	152	9	we	we	PRON
ijassa-1585	152	10	will	will	AUX
ijassa-1585	152	11	build	build	VERB
ijassa-1585	152	12	a	a	DET
ijassa-1585	152	13	forecast	forecast	NOUN
ijassa-1585	152	14	of	of	ADP
ijassa-1585	152	15	probabilities	probability	NOUN
ijassa-1585	152	16	p	p	NOUN
ijassa-1585	152	17	depending	depend	VERB
ijassa-1585	152	18	on	on	ADP
ijassa-1585	152	19	the	the	DET
ijassa-1585	152	20	quantiles	quantile	NOUN
ijassa-1585	152	21	up	up	ADP
ijassa-1585	152	22	and	and	CCONJ
ijassa-1585	152	23	the	the	DET
ijassa-1585	152	24	load	load	NOUN
ijassa-1585	152	25	factor	factor	NOUN
ijassa-1585	152	26	ρ	ρ	NOUN
ijassa-1585	152	27	.	.	PUNCT
ijassa-1585	153	1	p	p	PROPN
ijassa-1585	153	2	≈	≈	PROPN
ijassa-1585	153	3	p̂	p̂	NOUN
ijassa-1585	153	4	=	=	SYM
ijassa-1585	153	5	δ̂(up	δ̂(up	PROPN
ijassa-1585	153	6	,	,	PUNCT
ijassa-1585	153	7	ρ	ρ	PROPN
ijassa-1585	153	8	)	)	PUNCT
ijassa-1585	153	9	.	.	PUNCT
ijassa-1585	154	1	copyright	copyright	NOUN
ijassa-1585	154	2	©	©	PROPN
ijassa-1585	154	3	2024	2024	NUM
ijassa-1585	154	4	assa	assa	NOUN
ijassa-1585	154	5	.	.	PUNCT
ijassa-1585	155	1	adv	adv	PROPN
ijassa-1585	155	2	syst	syst	PROPN
ijassa-1585	155	3	sci	sci	PROPN
ijassa-1585	155	4	appl	appl	PROPN
ijassa-1585	155	5	(	(	PUNCT
ijassa-1585	155	6	2024	2024	NUM
ijassa-1585	155	7	)	)	PUNCT
ijassa-1585	155	8	assa	assa	NOUN
ijassa-1585	155	9	latex	latex	NOUN
ijassa-1585	155	10	template	template	NOUN
ijassa-1585	155	11	7	7	NUM
ijassa-1585	155	12	fig	fig	NOUN
ijassa-1585	155	13	.	.	PUNCT
ijassa-1585	156	1	4.3	4.3	NUM
ijassa-1585	156	2	.	.	PUNCT
ijassa-1585	156	3	dependence	dependence	NOUN
ijassa-1585	156	4	of	of	ADP
ijassa-1585	156	5	ln	ln	NOUN
ijassa-1585	156	6	p	p	NOUN
ijassa-1585	156	7	on	on	ADP
ijassa-1585	156	8	lnup	lnup	PROPN
ijassa-1585	156	9	.	.	PUNCT
ijassa-1585	157	1	fig	fig	NOUN
ijassa-1585	157	2	.	.	PUNCT
ijassa-1585	158	1	4.4	4.4	NUM
ijassa-1585	158	2	.	.	PUNCT
ijassa-1585	159	1	dependence	dependence	NOUN
ijassa-1585	159	2	of	of	ADP
ijassa-1585	159	3	(	(	PUNCT
ijassa-1585	159	4	ln	ln	ADJ
ijassa-1585	159	5	p/	p/	NUM
ijassa-1585	159	6	lnup	lnup	NOUN
ijassa-1585	159	7	)	)	PUNCT
ijassa-1585	159	8	on	on	ADP
ijassa-1585	159	9	ρ	ρ	PROPN
ijassa-1585	159	10	.	.	PUNCT
ijassa-1585	160	1	copyright	copyright	NOUN
ijassa-1585	160	2	©	©	PROPN
ijassa-1585	160	3	2024	2024	NUM
ijassa-1585	160	4	assa	assa	NOUN
ijassa-1585	160	5	.	.	PUNCT
ijassa-1585	161	1	adv	adv	PROPN
ijassa-1585	161	2	syst	syst	PROPN
ijassa-1585	161	3	sci	sci	PROPN
ijassa-1585	161	4	appl	appl	PROPN
ijassa-1585	161	5	(	(	PUNCT
ijassa-1585	161	6	2024	2024	NUM
ijassa-1585	161	7	)	)	PUNCT
ijassa-1585	161	8	8	8	NUM
ijassa-1585	161	9	a.v	a.v	PROPN
ijassa-1585	161	10	.	.	PROPN
ijassa-1585	161	11	gorbunova	gorbunova	PROPN
ijassa-1585	161	12	,	,	PUNCT
ijassa-1585	161	13	a.v	a.v	PROPN
ijassa-1585	161	14	.	.	PROPN
ijassa-1585	161	15	lebedev	lebedev	PROPN
ijassa-1585	161	16	now	now	ADV
ijassa-1585	161	17	,	,	PUNCT
ijassa-1585	161	18	to	to	PART
ijassa-1585	161	19	determine	determine	VERB
ijassa-1585	161	20	the	the	DET
ijassa-1585	161	21	type	type	NOUN
ijassa-1585	161	22	of	of	ADP
ijassa-1585	161	23	functional	functional	ADJ
ijassa-1585	161	24	dependence	dependence	NOUN
ijassa-1585	161	25	,	,	PUNCT
ijassa-1585	161	26	we	we	PRON
ijassa-1585	161	27	will	will	AUX
ijassa-1585	161	28	conduct	conduct	VERB
ijassa-1585	161	29	a	a	DET
ijassa-1585	161	30	graphical	graphical	ADJ
ijassa-1585	161	31	analysis	analysis	NOUN
ijassa-1585	161	32	of	of	ADP
ijassa-1585	161	33	the	the	DET
ijassa-1585	161	34	obtained	obtain	VERB
ijassa-1585	161	35	data	datum	NOUN
ijassa-1585	161	36	.	.	PUNCT
ijassa-1585	162	1	first	first	ADV
ijassa-1585	162	2	of	of	ADP
ijassa-1585	162	3	all	all	PRON
ijassa-1585	162	4	,	,	PUNCT
ijassa-1585	162	5	it	it	PRON
ijassa-1585	162	6	was	be	AUX
ijassa-1585	162	7	noticed	notice	VERB
ijassa-1585	162	8	that	that	SCONJ
ijassa-1585	162	9	the	the	DET
ijassa-1585	162	10	dependence	dependence	NOUN
ijassa-1585	162	11	of	of	ADP
ijassa-1585	162	12	p	p	NOUN
ijassa-1585	162	13	on	on	ADP
ijassa-1585	162	14	up	up	ADP
ijassa-1585	162	15	is	be	AUX
ijassa-1585	162	16	well	well	ADV
ijassa-1585	162	17	described	describe	VERB
ijassa-1585	162	18	by	by	ADP
ijassa-1585	162	19	a	a	DET
ijassa-1585	162	20	power	power	NOUN
ijassa-1585	162	21	function	function	NOUN
ijassa-1585	162	22	,	,	PUNCT
ijassa-1585	162	23	which	which	PRON
ijassa-1585	162	24	corresponds	correspond	VERB
ijassa-1585	162	25	to	to	ADP
ijassa-1585	162	26	a	a	DET
ijassa-1585	162	27	linear	linear	ADJ
ijassa-1585	162	28	dependence	dependence	NOUN
ijassa-1585	162	29	for	for	ADP
ijassa-1585	162	30	logarithms	logarithm	NOUN
ijassa-1585	162	31	(	(	PUNCT
ijassa-1585	162	32	see	see	VERB
ijassa-1585	162	33	fig	fig	NOUN
ijassa-1585	162	34	.	.	PUNCT
ijassa-1585	163	1	4.3	4.3	NUM
ijassa-1585	163	2	)	)	PUNCT
ijassa-1585	163	3	.	.	PUNCT
ijassa-1585	164	1	the	the	DET
ijassa-1585	164	2	dependence	dependence	NOUN
ijassa-1585	164	3	of	of	ADP
ijassa-1585	164	4	the	the	DET
ijassa-1585	164	5	exponent	exponent	NOUN
ijassa-1585	164	6	α	α	PROPN
ijassa-1585	164	7	on	on	ADP
ijassa-1585	164	8	ρ	ρ	PROPN
ijassa-1585	164	9	also	also	ADV
ijassa-1585	164	10	turned	turn	VERB
ijassa-1585	164	11	out	out	ADP
ijassa-1585	164	12	to	to	PART
ijassa-1585	164	13	be	be	AUX
ijassa-1585	164	14	close	close	ADJ
ijassa-1585	164	15	to	to	ADP
ijassa-1585	164	16	linear	linear	PROPN
ijassa-1585	164	17	(	(	PUNCT
ijassa-1585	164	18	see	see	VERB
ijassa-1585	164	19	fig	fig	NOUN
ijassa-1585	164	20	.	.	PUNCT
ijassa-1585	165	1	4.4	4.4	NUM
ijassa-1585	165	2	)	)	PUNCT
ijassa-1585	165	3	.	.	PUNCT
ijassa-1585	166	1	note	note	VERB
ijassa-1585	166	2	that	that	SCONJ
ijassa-1585	166	3	for	for	ADP
ijassa-1585	166	4	ρ→	ρ→	PROPN
ijassa-1585	166	5	0	0	NUM
ijassa-1585	167	1	the	the	DET
ijassa-1585	167	2	sojourn	sojourn	NOUN
ijassa-1585	167	3	times	time	NOUN
ijassa-1585	167	4	of	of	ADP
ijassa-1585	167	5	subtasks	subtask	NOUN
ijassa-1585	167	6	are	be	AUX
ijassa-1585	167	7	asymptotically	asymptotically	ADV
ijassa-1585	167	8	independent	independent	ADJ
ijassa-1585	167	9	,	,	PUNCT
ijassa-1585	167	10	hence	hence	ADV
ijassa-1585	167	11	α	α	PROPN
ijassa-1585	167	12	→	→	SYM
ijassa-1585	167	13	2	2	NUM
ijassa-1585	167	14	.	.	X
ijassa-1585	167	15	as	as	SCONJ
ijassa-1585	167	16	can	can	AUX
ijassa-1585	167	17	be	be	AUX
ijassa-1585	167	18	seen	see	VERB
ijassa-1585	167	19	from	from	ADP
ijassa-1585	167	20	figure	figure	NOUN
ijassa-1585	167	21	4.4	4.4	NUM
ijassa-1585	167	22	,	,	PUNCT
ijassa-1585	167	23	the	the	DET
ijassa-1585	167	24	dependence	dependence	NOUN
ijassa-1585	167	25	graph	graph	NOUN
ijassa-1585	167	26	resembles	resemble	VERB
ijassa-1585	167	27	a	a	DET
ijassa-1585	167	28	bunch	bunch	NOUN
ijassa-1585	167	29	of	of	ADP
ijassa-1585	167	30	close	close	ADJ
ijassa-1585	167	31	straight	straight	ADJ
ijassa-1585	167	32	lines	line	NOUN
ijassa-1585	167	33	passing	pass	VERB
ijassa-1585	167	34	through	through	ADP
ijassa-1585	167	35	the	the	DET
ijassa-1585	167	36	point	point	NOUN
ijassa-1585	167	37	(	(	PUNCT
ijassa-1585	167	38	0	0	NUM
ijassa-1585	167	39	,	,	PUNCT
ijassa-1585	167	40	2	2	NUM
ijassa-1585	167	41	)	)	PUNCT
ijassa-1585	167	42	,	,	PUNCT
ijassa-1585	167	43	so	so	CCONJ
ijassa-1585	167	44	it	it	PRON
ijassa-1585	167	45	is	be	AUX
ijassa-1585	167	46	natural	natural	ADJ
ijassa-1585	167	47	to	to	PART
ijassa-1585	167	48	assume	assume	VERB
ijassa-1585	167	49	(	(	PUNCT
ijassa-1585	167	50	as	as	ADP
ijassa-1585	167	51	a	a	DET
ijassa-1585	167	52	first	first	ADJ
ijassa-1585	167	53	approximation	approximation	NOUN
ijassa-1585	167	54	)	)	PUNCT
ijassa-1585	168	1	that	that	SCONJ
ijassa-1585	168	2	ln	ln	ADV
ijassa-1585	168	3	p	p	X
ijassa-1585	168	4	lnup	lnup	NOUN
ijassa-1585	169	1	≈	≈	PROPN
ijassa-1585	169	2	2−	2−	NUM
ijassa-1585	169	3	c	c	NOUN
ijassa-1585	169	4	·	·	PUNCT
ijassa-1585	169	5	ρ	ρ	NOUN
ijassa-1585	169	6	,	,	PUNCT
ijassa-1585	169	7	and	and	CCONJ
ijassa-1585	169	8	hence	hence	ADV
ijassa-1585	169	9	p	p	X
ijassa-1585	169	10	=	=	NOUN
ijassa-1585	169	11	δ(up	δ(up	NOUN
ijassa-1585	169	12	,	,	PUNCT
ijassa-1585	169	13	ρ	ρ	NOUN
ijassa-1585	169	14	)	)	PUNCT
ijassa-1585	170	1	≈	≈	PROPN
ijassa-1585	170	2	u2−c·ρ	u2−c·ρ	PROPN
ijassa-1585	170	3	p	p	PROPN
ijassa-1585	170	4	.	.	PUNCT
ijassa-1585	171	1	(	(	PUNCT
ijassa-1585	171	2	4.10	4.10	NUM
ijassa-1585	171	3	)	)	PUNCT
ijassa-1585	171	4	all	all	PRON
ijassa-1585	171	5	that	that	PRON
ijassa-1585	171	6	remains	remain	VERB
ijassa-1585	171	7	is	be	AUX
ijassa-1585	171	8	to	to	PART
ijassa-1585	171	9	calculate	calculate	VERB
ijassa-1585	171	10	the	the	DET
ijassa-1585	171	11	value	value	NOUN
ijassa-1585	171	12	of	of	ADP
ijassa-1585	171	13	the	the	DET
ijassa-1585	171	14	coefficient	coefficient	NOUN
ijassa-1585	171	15	c.	c.	PROPN
ijassa-1585	171	16	similar	similar	ADJ
ijassa-1585	171	17	to	to	ADP
ijassa-1585	171	18	the	the	DET
ijassa-1585	171	19	situation	situation	NOUN
ijassa-1585	171	20	with	with	ADP
ijassa-1585	171	21	the	the	DET
ijassa-1585	171	22	kendall	kendall	PROPN
ijassa-1585	171	23	correlation	correlation	NOUN
ijassa-1585	171	24	coefficient	coefficient	NOUN
ijassa-1585	172	1	[	[	X
ijassa-1585	172	2	11	11	NUM
ijassa-1585	172	3	]	]	PUNCT
ijassa-1585	172	4	,	,	PUNCT
ijassa-1585	172	5	we	we	PRON
ijassa-1585	172	6	will	will	AUX
ijassa-1585	172	7	minimize	minimize	VERB
ijassa-1585	172	8	the	the	DET
ijassa-1585	172	9	module	module	NOUN
ijassa-1585	172	10	of	of	ADP
ijassa-1585	172	11	the	the	DET
ijassa-1585	172	12	relative	relative	ADJ
ijassa-1585	172	13	approximation	approximation	NOUN
ijassa-1585	172	14	error	error	NOUN
ijassa-1585	172	15	relative	relative	ADJ
ijassa-1585	172	16	to	to	ADP
ijassa-1585	172	17	the	the	DET
ijassa-1585	172	18	simulation	simulation	NOUN
ijassa-1585	172	19	data	datum	NOUN
ijassa-1585	172	20	using	use	VERB
ijassa-1585	172	21	the	the	DET
ijassa-1585	172	22	nelder	nelder	ADJ
ijassa-1585	172	23	-	-	PUNCT
ijassa-1585	172	24	mead	mead	NOUN
ijassa-1585	172	25	method	method	NOUN
ijassa-1585	172	26	,	,	PUNCT
ijassa-1585	172	27	as	as	ADP
ijassa-1585	172	28	a	a	DET
ijassa-1585	172	29	result	result	NOUN
ijassa-1585	172	30	of	of	ADP
ijassa-1585	172	31	which	which	PRON
ijassa-1585	172	32	we	we	PRON
ijassa-1585	172	33	obtain	obtain	VERB
ijassa-1585	172	34	the	the	DET
ijassa-1585	172	35	value	value	NOUN
ijassa-1585	172	36	c	c	PROPN
ijassa-1585	172	37	≈	≈	PROPN
ijassa-1585	172	38	0.370608	0.370608	NUM
ijassa-1585	172	39	.	.	PUNCT
ijassa-1585	173	1	(	(	PUNCT
ijassa-1585	173	2	4.11	4.11	NUM
ijassa-1585	173	3	)	)	PUNCT
ijassa-1585	173	4	thus	thus	ADV
ijassa-1585	173	5	we	we	PRON
ijassa-1585	173	6	have	have	VERB
ijassa-1585	173	7	p	p	NOUN
ijassa-1585	173	8	=	=	NOUN
ijassa-1585	173	9	δ(up	δ(up	NOUN
ijassa-1585	173	10	,	,	PUNCT
ijassa-1585	173	11	ρ	ρ	NOUN
ijassa-1585	173	12	)	)	PUNCT
ijassa-1585	174	1	≈	≈	PROPN
ijassa-1585	174	2	u2−0.370608·ρ	u2−0.370608·ρ	PROPN
ijassa-1585	174	3	p	p	X
ijassa-1585	174	4	.	.	PUNCT
ijassa-1585	175	1	(	(	PUNCT
ijassa-1585	175	2	4.12	4.12	NUM
ijassa-1585	175	3	)	)	PUNCT
ijassa-1585	175	4	figure	figure	NOUN
ijassa-1585	175	5	4.5	4.5	NUM
ijassa-1585	175	6	shows	show	VERB
ijassa-1585	175	7	the	the	DET
ijassa-1585	175	8	results	result	NOUN
ijassa-1585	175	9	of	of	ADP
ijassa-1585	175	10	simulation	simulation	NOUN
ijassa-1585	175	11	modeling	modeling	NOUN
ijassa-1585	175	12	of	of	ADP
ijassa-1585	175	13	the	the	DET
ijassa-1585	175	14	probabilities	probability	NOUN
ijassa-1585	175	15	or	or	CCONJ
ijassa-1585	175	16	levels	level	NOUN
ijassa-1585	175	17	of	of	ADP
ijassa-1585	175	18	p	p	NOUN
ijassa-1585	175	19	0.10	0.10	NUM
ijassa-1585	175	20	0.20	0.20	NUM
ijassa-1585	175	21	0.30	0.30	NUM
ijassa-1585	175	22	0.40	0.40	NUM
ijassa-1585	175	23	0.50	0.50	NUM
ijassa-1585	175	24	0.60	0.60	NUM
ijassa-1585	175	25	0.70	0.70	NUM
ijassa-1585	175	26	0.80	0.80	NUM
ijassa-1585	175	27	0.90	0.90	NUM
ijassa-1585	175	28	1.00	1.00	NUM
ijassa-1585	175	29	0.10	0.10	NUM
ijassa-1585	175	30	0.20	0.20	NUM
ijassa-1585	175	31	0.30	0.30	NUM
ijassa-1585	175	32	0.40	0.40	NUM
ijassa-1585	175	33	0.50	0.50	NUM
ijassa-1585	175	34	0.60	0.60	NUM
ijassa-1585	175	35	0.70	0.70	NUM
ijassa-1585	175	36	0.80	0.80	NUM
ijassa-1585	175	37	0.90	0.90	NUM
ijassa-1585	175	38	1.00	1.00	NUM
ijassa-1585	175	39	a	a	DET
ijassa-1585	175	40	n	n	NOUN
ijassa-1585	175	41	a	a	DET
ijassa-1585	175	42	ly	ly	X
ijassa-1585	176	1	ti	ti	X
ijassa-1585	176	2	c	c	NOUN
ijassa-1585	176	3	a	a	DET
ijassa-1585	176	4	l	l	NOUN
ijassa-1585	176	5	fo	fo	ADP
ijassa-1585	176	6	r	r	NOUN
ijassa-1585	176	7	m	m	VERB
ijassa-1585	176	8	u	u	NOUN
ijassa-1585	176	9	la	la	PROPN
ijassa-1585	176	10	simulation	simulation	PROPN
ijassa-1585	176	11	simulation	simulation	PROPN
ijassa-1585	176	12	formula	formula	NOUN
ijassa-1585	176	13	fig	fig	NOUN
ijassa-1585	176	14	.	.	PUNCT
ijassa-1585	177	1	4.5	4.5	NUM
ijassa-1585	177	2	.	.	PUNCT
ijassa-1585	178	1	comparison	comparison	NOUN
ijassa-1585	178	2	of	of	ADP
ijassa-1585	178	3	analytical	analytical	ADJ
ijassa-1585	178	4	results	result	NOUN
ijassa-1585	178	5	of	of	ADP
ijassa-1585	178	6	the	the	DET
ijassa-1585	178	7	formula	formula	NOUN
ijassa-1585	178	8	(	(	PUNCT
ijassa-1585	178	9	4.12	4.12	NUM
ijassa-1585	178	10	)	)	PUNCT
ijassa-1585	178	11	with	with	ADP
ijassa-1585	178	12	simulation	simulation	NOUN
ijassa-1585	178	13	of	of	ADP
ijassa-1585	178	14	the	the	DET
ijassa-1585	178	15	values	value	NOUN
ijassa-1585	178	16	p	p	NOUN
ijassa-1585	178	17	of	of	ADP
ijassa-1585	178	18	quantiles	quantile	NOUN
ijassa-1585	178	19	up	up	ADP
ijassa-1585	178	20	of	of	ADP
ijassa-1585	178	21	the	the	DET
ijassa-1585	178	22	random	random	ADJ
ijassa-1585	178	23	variable	variable	NOUN
ijassa-1585	178	24	v	v	NOUN
ijassa-1585	178	25	=	=	SYM
ijassa-1585	178	26	f	f	X
ijassa-1585	178	27	(	(	PUNCT
ijassa-1585	178	28	r	r	NOUN
ijassa-1585	178	29	)	)	PUNCT
ijassa-1585	178	30	for	for	ADP
ijassa-1585	178	31	values	value	NOUN
ijassa-1585	178	32	ρ	ρ	X
ijassa-1585	178	33	∈	∈	PROPN
ijassa-1585	178	34	{	{	PUNCT
ijassa-1585	178	35	0.10	0.10	NUM
ijassa-1585	178	36	,	,	PUNCT
ijassa-1585	178	37	0.15	0.15	NUM
ijassa-1585	178	38	,	,	PUNCT
ijassa-1585	178	39	0.20	0.20	NUM
ijassa-1585	178	40	,	,	PUNCT
ijassa-1585	178	41	...	...	PUNCT
ijassa-1585	178	42	,	,	PUNCT
ijassa-1585	178	43	0.90	0.90	NUM
ijassa-1585	178	44	}	}	PUNCT
ijassa-1585	178	45	.	.	PUNCT
ijassa-1585	179	1	quantiles	quantile	NOUN
ijassa-1585	179	2	up	up	ADP
ijassa-1585	179	3	of	of	ADP
ijassa-1585	179	4	the	the	DET
ijassa-1585	179	5	random	random	ADJ
ijassa-1585	179	6	variable	variable	NOUN
ijassa-1585	179	7	v	v	NOUN
ijassa-1585	179	8	=	=	SYM
ijassa-1585	179	9	f	f	X
ijassa-1585	179	10	(	(	PUNCT
ijassa-1585	179	11	r	r	NOUN
ijassa-1585	179	12	)	)	PUNCT
ijassa-1585	179	13	in	in	ADP
ijassa-1585	179	14	comparison	comparison	NOUN
ijassa-1585	179	15	with	with	ADP
ijassa-1585	179	16	the	the	DET
ijassa-1585	179	17	results	result	NOUN
ijassa-1585	179	18	of	of	ADP
ijassa-1585	179	19	calculations	calculation	NOUN
ijassa-1585	179	20	using	use	VERB
ijassa-1585	179	21	the	the	DET
ijassa-1585	179	22	analytical	analytical	ADJ
ijassa-1585	179	23	formula	formula	NOUN
ijassa-1585	179	24	(	(	PUNCT
ijassa-1585	179	25	4.12	4.12	NUM
ijassa-1585	179	26	)	)	PUNCT
ijassa-1585	179	27	in	in	ADP
ijassa-1585	179	28	the	the	DET
ijassa-1585	179	29	range	range	NOUN
ijassa-1585	180	1	[	[	X
ijassa-1585	180	2	0.20	0.20	NUM
ijassa-1585	180	3	,	,	PUNCT
ijassa-1585	180	4	0.95	0.95	NUM
ijassa-1585	180	5	]	]	PUNCT
ijassa-1585	180	6	with	with	ADP
ijassa-1585	180	7	increments	increment	NOUN
ijassa-1585	180	8	of	of	ADP
ijassa-1585	180	9	0.05	0.05	NUM
ijassa-1585	180	10	.	.	PUNCT
ijassa-1585	181	1	each	each	DET
ijassa-1585	181	2	point	point	NOUN
ijassa-1585	181	3	shown	show	VERB
ijassa-1585	181	4	on	on	ADP
ijassa-1585	181	5	the	the	DET
ijassa-1585	181	6	graph	graph	NOUN
ijassa-1585	181	7	is	be	AUX
ijassa-1585	181	8	actually	actually	ADV
ijassa-1585	181	9	a	a	DET
ijassa-1585	181	10	set	set	NOUN
ijassa-1585	181	11	of	of	ADP
ijassa-1585	181	12	17	17	NUM
ijassa-1585	181	13	points	point	NOUN
ijassa-1585	181	14	based	base	VERB
ijassa-1585	181	15	on	on	ADP
ijassa-1585	181	16	the	the	DET
ijassa-1585	181	17	number	number	NOUN
ijassa-1585	181	18	of	of	ADP
ijassa-1585	181	19	load	load	NOUN
ijassa-1585	181	20	factor	factor	NOUN
ijassa-1585	181	21	values	value	VERB
ijassa-1585	181	22	ρ	ρ	PROPN
ijassa-1585	181	23	∈	∈	PROPN
ijassa-1585	181	24	{	{	PUNCT
ijassa-1585	181	25	0.10	0.10	NUM
ijassa-1585	181	26	,	,	PUNCT
ijassa-1585	181	27	0.15	0.15	NUM
ijassa-1585	181	28	,	,	PUNCT
ijassa-1585	181	29	0.20	0.20	NUM
ijassa-1585	181	30	,	,	PUNCT
ijassa-1585	181	31	...	...	PUNCT
ijassa-1585	181	32	,	,	PUNCT
ijassa-1585	181	33	0.90	0.90	NUM
ijassa-1585	181	34	}	}	PUNCT
ijassa-1585	181	35	,	,	PUNCT
ijassa-1585	181	36	which	which	PRON
ijassa-1585	181	37	overlap	overlap	VERB
ijassa-1585	181	38	each	each	DET
ijassa-1585	181	39	other	other	ADJ
ijassa-1585	181	40	and	and	CCONJ
ijassa-1585	181	41	practically	practically	ADV
ijassa-1585	181	42	merge	merge	VERB
ijassa-1585	181	43	,	,	PUNCT
ijassa-1585	181	44	which	which	PRON
ijassa-1585	181	45	should	should	AUX
ijassa-1585	181	46	be	be	AUX
ijassa-1585	181	47	the	the	DET
ijassa-1585	181	48	case	case	NOUN
ijassa-1585	181	49	with	with	ADP
ijassa-1585	181	50	a	a	DET
ijassa-1585	181	51	good	good	ADJ
ijassa-1585	181	52	level	level	NOUN
ijassa-1585	181	53	of	of	ADP
ijassa-1585	181	54	approximation	approximation	NOUN
ijassa-1585	181	55	of	of	ADP
ijassa-1585	181	56	the	the	DET
ijassa-1585	181	57	probabilities	probability	NOUN
ijassa-1585	181	58	p.	p.	NOUN
ijassa-1585	181	59	a	a	DET
ijassa-1585	181	60	slight	slight	ADJ
ijassa-1585	181	61	stratification	stratification	NOUN
ijassa-1585	181	62	(	(	PUNCT
ijassa-1585	181	63	deviation	deviation	NOUN
ijassa-1585	181	64	within	within	ADP
ijassa-1585	181	65	2	2	NUM
ijassa-1585	181	66	%	%	NOUN
ijassa-1585	181	67	)	)	PUNCT
ijassa-1585	181	68	is	be	AUX
ijassa-1585	181	69	observed	observe	VERB
ijassa-1585	181	70	with	with	ADP
ijassa-1585	181	71	increasing	increase	VERB
ijassa-1585	181	72	values	value	NOUN
ijassa-1585	181	73	of	of	ADP
ijassa-1585	181	74	p.	p.	NOUN
ijassa-1585	181	75	for	for	ADP
ijassa-1585	181	76	clarity	clarity	NOUN
ijassa-1585	181	77	,	,	PUNCT
ijassa-1585	181	78	table	table	NOUN
ijassa-1585	181	79	4.1	4.1	NUM
ijassa-1585	181	80	shows	show	VERB
ijassa-1585	181	81	the	the	DET
ijassa-1585	181	82	absolute	absolute	ADJ
ijassa-1585	181	83	values	value	NOUN
ijassa-1585	181	84	of	of	ADP
ijassa-1585	181	85	the	the	DET
ijassa-1585	181	86	relative	relative	ADJ
ijassa-1585	181	87	approximation	approximation	NOUN
ijassa-1585	181	88	errors	error	NOUN
ijassa-1585	181	89	for	for	ADP
ijassa-1585	181	90	272	272	NUM
ijassa-1585	181	91	calculated	calculate	VERB
ijassa-1585	181	92	p	p	NOUN
ijassa-1585	181	93	values	value	NOUN
ijassa-1585	181	94	.	.	PUNCT
ijassa-1585	182	1	now	now	ADV
ijassa-1585	182	2	,	,	PUNCT
ijassa-1585	182	3	taking	take	VERB
ijassa-1585	182	4	into	into	ADP
ijassa-1585	182	5	account	account	NOUN
ijassa-1585	182	6	(	(	PUNCT
ijassa-1585	182	7	4.8	4.8	NUM
ijassa-1585	182	8	)	)	PUNCT
ijassa-1585	182	9	,	,	PUNCT
ijassa-1585	182	10	we	we	PRON
ijassa-1585	182	11	can	can	AUX
ijassa-1585	182	12	write	write	VERB
ijassa-1585	182	13	δ−1(p	δ−1(p	PROPN
ijassa-1585	182	14	)	)	PUNCT
ijassa-1585	183	1	=	=	SYM
ijassa-1585	183	2	f	f	PROPN
ijassa-1585	183	3	(	(	PUNCT
ijassa-1585	183	4	xp	xp	PROPN
ijassa-1585	183	5	)	)	PUNCT
ijassa-1585	183	6	,	,	PUNCT
ijassa-1585	183	7	(	(	PUNCT
ijassa-1585	183	8	4.13	4.13	X
ijassa-1585	183	9	)	)	PUNCT
ijassa-1585	183	10	copyright	copyright	NOUN
ijassa-1585	183	11	©	©	PROPN
ijassa-1585	183	12	2024	2024	NUM
ijassa-1585	183	13	assa	assa	NOUN
ijassa-1585	183	14	.	.	PUNCT
ijassa-1585	184	1	adv	adv	PROPN
ijassa-1585	184	2	syst	syst	PROPN
ijassa-1585	184	3	sci	sci	PROPN
ijassa-1585	184	4	appl	appl	PROPN
ijassa-1585	184	5	(	(	PUNCT
ijassa-1585	184	6	2024	2024	NUM
ijassa-1585	184	7	)	)	PUNCT
ijassa-1585	184	8	assa	assa	NOUN
ijassa-1585	184	9	latex	latex	NOUN
ijassa-1585	184	10	template	template	NOUN
ijassa-1585	184	11	9	9	NUM
ijassa-1585	184	12	table	table	NOUN
ijassa-1585	184	13	4.1	4.1	NUM
ijassa-1585	184	14	.	.	PUNCT
ijassa-1585	185	1	errors	error	NOUN
ijassa-1585	185	2	in	in	ADP
ijassa-1585	185	3	approximations	approximation	NOUN
ijassa-1585	185	4	of	of	ADP
ijassa-1585	185	5	probability	probability	NOUN
ijassa-1585	185	6	values	value	NOUN
ijassa-1585	185	7	p	p	NOUN
ijassa-1585	185	8	calculated	calculate	VERB
ijassa-1585	185	9	using	use	VERB
ijassa-1585	185	10	the	the	DET
ijassa-1585	185	11	analytical	analytical	ADJ
ijassa-1585	185	12	formula	formula	NOUN
ijassa-1585	185	13	(	(	PUNCT
ijassa-1585	185	14	4.12	4.12	NUM
ijassa-1585	185	15	)	)	PUNCT
ijassa-1585	185	16	in	in	ADP
ijassa-1585	185	17	comparison	comparison	NOUN
ijassa-1585	185	18	with	with	ADP
ijassa-1585	185	19	the	the	DET
ijassa-1585	185	20	results	result	NOUN
ijassa-1585	185	21	of	of	ADP
ijassa-1585	185	22	simulation	simulation	NOUN
ijassa-1585	185	23	modeling	model	VERB
ijassa-1585	185	24	evaluated	evaluate	VERB
ijassa-1585	185	25	types	type	NOUN
ijassa-1585	185	26	of	of	ADP
ijassa-1585	185	27	errors	error	NOUN
ijassa-1585	185	28	characteristic	characteristic	ADJ
ijassa-1585	185	29	max	max	PROPN
ijassa-1585	185	30	ape	ape	NOUN
ijassa-1585	185	31	,	,	PUNCT
ijassa-1585	185	32	%	%	NOUN
ijassa-1585	185	33	min	min	NOUN
ijassa-1585	185	34	ape	ape	NOUN
ijassa-1585	185	35	,	,	PUNCT
ijassa-1585	185	36	%	%	NOUN
ijassa-1585	185	37	mape	mape	NOUN
ijassa-1585	185	38	,	,	PUNCT
ijassa-1585	185	39	%	%	NOUN
ijassa-1585	185	40	probability	probability	NOUN
ijassa-1585	185	41	p	p	NOUN
ijassa-1585	185	42	from	from	ADP
ijassa-1585	185	43	the	the	DET
ijassa-1585	185	44	formula	formula	NOUN
ijassa-1585	185	45	(	(	PUNCT
ijassa-1585	185	46	4.12	4.12	NUM
ijassa-1585	185	47	)	)	PUNCT
ijassa-1585	185	48	1.679144	1.679144	NUM
ijassa-1585	185	49	0.002731	0.002731	NUM
ijassa-1585	185	50	0.438597	0.438597	NUM
ijassa-1585	185	51	moreover	moreover	ADV
ijassa-1585	185	52	,	,	PUNCT
ijassa-1585	185	53	from	from	ADP
ijassa-1585	185	54	(	(	PUNCT
ijassa-1585	185	55	4.10	4.10	NUM
ijassa-1585	185	56	)	)	PUNCT
ijassa-1585	185	57	it	it	PRON
ijassa-1585	185	58	follows	follow	VERB
ijassa-1585	185	59	that	that	SCONJ
ijassa-1585	185	60	δ−1(p	δ−1(p	PROPN
ijassa-1585	185	61	)	)	PUNCT
ijassa-1585	186	1	≈	≈	PROPN
ijassa-1585	186	2	p	p	NOUN
ijassa-1585	186	3	1	1	NUM
ijassa-1585	186	4	2−c·ρ	2−c·ρ	NUM
ijassa-1585	186	5	.	.	PUNCT
ijassa-1585	187	1	we	we	PRON
ijassa-1585	187	2	substitute	substitute	VERB
ijassa-1585	187	3	the	the	DET
ijassa-1585	187	4	estimate	estimate	NOUN
ijassa-1585	187	5	δ−1(p	δ−1(p	PROPN
ijassa-1585	187	6	)	)	PUNCT
ijassa-1585	187	7	into	into	ADP
ijassa-1585	187	8	(	(	PUNCT
ijassa-1585	187	9	4.13	4.13	NUM
ijassa-1585	187	10	)	)	PUNCT
ijassa-1585	187	11	and	and	CCONJ
ijassa-1585	187	12	get	get	VERB
ijassa-1585	187	13	the	the	DET
ijassa-1585	187	14	relation	relation	NOUN
ijassa-1585	187	15	p	p	NOUN
ijassa-1585	187	16	1	1	NUM
ijassa-1585	187	17	2−c·ρ	2−c·ρ	NUM
ijassa-1585	187	18	=	=	SYM
ijassa-1585	187	19	1−	1−	NUM
ijassa-1585	187	20	e−(µ−λ)xp	e−(µ−λ)xp	PROPN
ijassa-1585	187	21	from	from	ADP
ijassa-1585	187	22	which	which	PRON
ijassa-1585	187	23	it	it	PRON
ijassa-1585	187	24	follows	follow	VERB
ijassa-1585	187	25	that	that	SCONJ
ijassa-1585	187	26	the	the	DET
ijassa-1585	187	27	quantile	quantile	ADJ
ijassa-1585	187	28	level	level	NOUN
ijassa-1585	187	29	p	p	NOUN
ijassa-1585	187	30	of	of	ADP
ijassa-1585	187	31	the	the	DET
ijassa-1585	187	32	distribution	distribution	NOUN
ijassa-1585	187	33	of	of	ADP
ijassa-1585	187	34	the	the	DET
ijassa-1585	187	35	random	random	ADJ
ijassa-1585	187	36	variable	variable	ADJ
ijassa-1585	187	37	fork	fork	NOUN
ijassa-1585	187	38	-	-	PUNCT
ijassa-1585	187	39	join	join	NOUN
ijassa-1585	187	40	response	response	NOUN
ijassa-1585	187	41	time	time	NOUN
ijassa-1585	187	42	qs	qs	PROPN
ijassa-1585	187	43	r	r	NOUN
ijassa-1585	187	44	is	be	AUX
ijassa-1585	187	45	determined	determine	VERB
ijassa-1585	187	46	by	by	ADP
ijassa-1585	187	47	expression	expression	NOUN
ijassa-1585	187	48	xp	xp	INTJ
ijassa-1585	188	1	≈	≈	PROPN
ijassa-1585	188	2	−	−	PROPN
ijassa-1585	189	1	ln(1−	ln(1−	ADJ
ijassa-1585	189	2	p	p	NOUN
ijassa-1585	189	3	1	1	NUM
ijassa-1585	189	4	2−c·ρ	2−c·ρ	NUM
ijassa-1585	189	5	)	)	PUNCT
ijassa-1585	189	6	µ−	µ−	PROPN
ijassa-1585	189	7	λ	λ	INTJ
ijassa-1585	189	8	.	.	PUNCT
ijassa-1585	190	1	(	(	PUNCT
ijassa-1585	190	2	4.14	4.14	NUM
ijassa-1585	190	3	)	)	PUNCT
ijassa-1585	190	4	next	next	ADV
ijassa-1585	190	5	,	,	PUNCT
ijassa-1585	190	6	we	we	PRON
ijassa-1585	190	7	evaluate	evaluate	VERB
ijassa-1585	190	8	the	the	DET
ijassa-1585	190	9	quality	quality	NOUN
ijassa-1585	190	10	of	of	ADP
ijassa-1585	190	11	approximation	approximation	NOUN
ijassa-1585	190	12	of	of	ADP
ijassa-1585	190	13	the	the	DET
ijassa-1585	190	14	resulting	result	VERB
ijassa-1585	190	15	expression	expression	NOUN
ijassa-1585	190	16	on	on	ADP
ijassa-1585	190	17	the	the	DET
ijassa-1585	190	18	following	follow	VERB
ijassa-1585	190	19	data	datum	NOUN
ijassa-1585	190	20	set	set	NOUN
ijassa-1585	190	21	:	:	PUNCT
ijassa-1585	190	22	ρ	ρ	PROPN
ijassa-1585	190	23	∈	∈	PROPN
ijassa-1585	190	24	{	{	PUNCT
ijassa-1585	190	25	0.10	0.10	NUM
ijassa-1585	190	26	,	,	PUNCT
ijassa-1585	190	27	0.15	0.15	NUM
ijassa-1585	190	28	,	,	PUNCT
ijassa-1585	190	29	...	...	PUNCT
ijassa-1585	190	30	,	,	PUNCT
ijassa-1585	190	31	0.90	0.90	NUM
ijassa-1585	190	32	}	}	PUNCT
ijassa-1585	190	33	,	,	PUNCT
ijassa-1585	190	34	p	p	PROPN
ijassa-1585	190	35	∈	∈	PROPN
ijassa-1585	190	36	{	{	PUNCT
ijassa-1585	190	37	0.20	0.20	NUM
ijassa-1585	190	38	,	,	PUNCT
ijassa-1585	190	39	0.25	0.25	NUM
ijassa-1585	190	40	,	,	PUNCT
ijassa-1585	190	41	...	...	PUNCT
ijassa-1585	190	42	,	,	PUNCT
ijassa-1585	190	43	0.90	0.90	NUM
ijassa-1585	190	44	}	}	PUNCT
ijassa-1585	190	45	,	,	PUNCT
ijassa-1585	190	46	i.e.	i.e.	X
ijassa-1585	190	47	,	,	PUNCT
ijassa-1585	190	48	we	we	PRON
ijassa-1585	190	49	get	get	VERB
ijassa-1585	190	50	a	a	DET
ijassa-1585	190	51	total	total	NOUN
ijassa-1585	190	52	of	of	ADP
ijassa-1585	190	53	272	272	NUM
ijassa-1585	190	54	values	value	NOUN
ijassa-1585	190	55	,	,	PUNCT
ijassa-1585	190	56	for	for	ADP
ijassa-1585	190	57	which	which	PRON
ijassa-1585	190	58	we	we	PRON
ijassa-1585	190	59	will	will	AUX
ijassa-1585	190	60	estimate	estimate	VERB
ijassa-1585	190	61	the	the	DET
ijassa-1585	190	62	approximation	approximation	NOUN
ijassa-1585	190	63	error	error	NOUN
ijassa-1585	190	64	using	use	VERB
ijassa-1585	190	65	the	the	DET
ijassa-1585	190	66	formula	formula	NOUN
ijassa-1585	190	67	4.14	4.14	NUM
ijassa-1585	190	68	.	.	PUNCT
ijassa-1585	191	1	in	in	ADP
ijassa-1585	191	2	the	the	DET
ijassa-1585	191	3	table	table	NOUN
ijassa-1585	191	4	4.2	4.2	NUM
ijassa-1585	191	5	in	in	ADP
ijassa-1585	191	6	the	the	DET
ijassa-1585	191	7	first	first	ADJ
ijassa-1585	191	8	row	row	NOUN
ijassa-1585	191	9	for	for	ADP
ijassa-1585	191	10	the	the	DET
ijassa-1585	191	11	value	value	NOUN
ijassa-1585	191	12	c	c	PROPN
ijassa-1585	192	1	≈	≈	PROPN
ijassa-1585	192	2	0.370608	0.370608	NUM
ijassa-1585	192	3	the	the	DET
ijassa-1585	192	4	relative	relative	ADJ
ijassa-1585	192	5	errors	error	NOUN
ijassa-1585	192	6	of	of	ADP
ijassa-1585	192	7	approximation	approximation	NOUN
ijassa-1585	192	8	are	be	AUX
ijassa-1585	192	9	presented	present	VERB
ijassa-1585	192	10	,	,	PUNCT
ijassa-1585	192	11	and	and	CCONJ
ijassa-1585	192	12	the	the	DET
ijassa-1585	192	13	modulus	modulus	NOUN
ijassa-1585	192	14	of	of	ADP
ijassa-1585	192	15	the	the	DET
ijassa-1585	192	16	maximum	maximum	ADJ
ijassa-1585	192	17	approximation	approximation	NOUN
ijassa-1585	192	18	error	error	NOUN
ijassa-1585	192	19	(	(	PUNCT
ijassa-1585	192	20	max	max	PROPN
ijassa-1585	192	21	ape	ape	NOUN
ijassa-1585	192	22	)	)	PUNCT
ijassa-1585	192	23	is	be	AUX
ijassa-1585	192	24	about	about	ADV
ijassa-1585	192	25	3	3	NUM
ijassa-1585	192	26	%	%	NOUN
ijassa-1585	192	27	,	,	PUNCT
ijassa-1585	192	28	and	and	CCONJ
ijassa-1585	192	29	the	the	DET
ijassa-1585	192	30	average	average	ADJ
ijassa-1585	192	31	value	value	NOUN
ijassa-1585	192	32	of	of	ADP
ijassa-1585	192	33	the	the	DET
ijassa-1585	192	34	modulus	modulus	NOUN
ijassa-1585	192	35	of	of	ADP
ijassa-1585	192	36	the	the	DET
ijassa-1585	192	37	relative	relative	ADJ
ijassa-1585	192	38	error	error	NOUN
ijassa-1585	192	39	does	do	AUX
ijassa-1585	192	40	not	not	PART
ijassa-1585	192	41	exceed	exceed	VERB
ijassa-1585	192	42	1	1	NUM
ijassa-1585	192	43	%	%	NOUN
ijassa-1585	192	44	.	.	PUNCT
ijassa-1585	193	1	however	however	ADV
ijassa-1585	193	2	,	,	PUNCT
ijassa-1585	193	3	if	if	SCONJ
ijassa-1585	193	4	we	we	PRON
ijassa-1585	193	5	again	again	ADV
ijassa-1585	193	6	use	use	VERB
ijassa-1585	193	7	the	the	DET
ijassa-1585	193	8	nelder	nelder	ADJ
ijassa-1585	193	9	-	-	PUNCT
ijassa-1585	193	10	mead	mead	NOUN
ijassa-1585	193	11	optimization	optimization	NOUN
ijassa-1585	193	12	method	method	NOUN
ijassa-1585	193	13	,	,	PUNCT
ijassa-1585	193	14	but	but	CCONJ
ijassa-1585	193	15	this	this	DET
ijassa-1585	193	16	time	time	NOUN
ijassa-1585	193	17	to	to	PART
ijassa-1585	193	18	minimize	minimize	VERB
ijassa-1585	193	19	the	the	DET
ijassa-1585	193	20	quantile	quantile	ADJ
ijassa-1585	193	21	error	error	NOUN
ijassa-1585	193	22	xp	xp	NOUN
ijassa-1585	193	23	from	from	ADP
ijassa-1585	193	24	the	the	DET
ijassa-1585	193	25	formula	formula	NOUN
ijassa-1585	193	26	(	(	PUNCT
ijassa-1585	193	27	4.14	4.14	NUM
ijassa-1585	193	28	)	)	PUNCT
ijassa-1585	193	29	,	,	PUNCT
ijassa-1585	193	30	then	then	ADV
ijassa-1585	193	31	the	the	DET
ijassa-1585	193	32	result	result	NOUN
ijassa-1585	193	33	will	will	AUX
ijassa-1585	193	34	be	be	AUX
ijassa-1585	193	35	the	the	DET
ijassa-1585	193	36	value	value	NOUN
ijassa-1585	193	37	c	c	PROPN
ijassa-1585	193	38	≈	≈	PROPN
ijassa-1585	193	39	0.348284	0.348284	NUM
ijassa-1585	193	40	.	.	PUNCT
ijassa-1585	194	1	in	in	ADP
ijassa-1585	194	2	this	this	DET
ijassa-1585	194	3	case	case	NOUN
ijassa-1585	194	4	,	,	PUNCT
ijassa-1585	194	5	the	the	DET
ijassa-1585	194	6	result	result	NOUN
ijassa-1585	194	7	will	will	AUX
ijassa-1585	194	8	improve	improve	VERB
ijassa-1585	194	9	somewhat	somewhat	ADV
ijassa-1585	194	10	,	,	PUNCT
ijassa-1585	194	11	however	however	ADV
ijassa-1585	194	12	,	,	PUNCT
ijassa-1585	194	13	as	as	ADP
ijassa-1585	194	14	further	further	ADJ
ijassa-1585	194	15	research	research	NOUN
ijassa-1585	194	16	shows	show	NOUN
ijassa-1585	194	17	,	,	PUNCT
ijassa-1585	194	18	the	the	DET
ijassa-1585	194	19	value	value	NOUN
ijassa-1585	194	20	of	of	ADP
ijassa-1585	194	21	the	the	DET
ijassa-1585	194	22	coefficient	coefficient	NOUN
ijassa-1585	194	23	c	c	PROPN
ijassa-1585	194	24	≈	≈	PROPN
ijassa-1585	194	25	0.37	0.37	NUM
ijassa-1585	194	26	turns	turn	VERB
ijassa-1585	194	27	out	out	ADP
ijassa-1585	194	28	to	to	PART
ijassa-1585	194	29	be	be	AUX
ijassa-1585	194	30	more	more	ADV
ijassa-1585	194	31	justified	justified	ADJ
ijassa-1585	194	32	in	in	ADP
ijassa-1585	194	33	other	other	ADJ
ijassa-1585	194	34	aspects	aspect	NOUN
ijassa-1585	194	35	.	.	PUNCT
ijassa-1585	195	1	table	table	NOUN
ijassa-1585	195	2	4.2	4.2	NUM
ijassa-1585	195	3	.	.	PUNCT
ijassa-1585	196	1	errors	error	NOUN
ijassa-1585	196	2	in	in	ADP
ijassa-1585	196	3	approximations	approximation	NOUN
ijassa-1585	196	4	of	of	ADP
ijassa-1585	196	5	the	the	DET
ijassa-1585	196	6	response	response	NOUN
ijassa-1585	196	7	time	time	NOUN
ijassa-1585	196	8	quantile	quantile	NOUN
ijassa-1585	196	9	for	for	ADP
ijassa-1585	196	10	two	two	NUM
ijassa-1585	196	11	variants	variant	NOUN
ijassa-1585	196	12	of	of	ADP
ijassa-1585	196	13	the	the	DET
ijassa-1585	196	14	values	value	NOUN
ijassa-1585	196	15	of	of	ADP
ijassa-1585	196	16	the	the	DET
ijassa-1585	196	17	coefficient	coefficient	NOUN
ijassa-1585	196	18	c	c	NOUN
ijassa-1585	196	19	in	in	ADP
ijassa-1585	196	20	the	the	DET
ijassa-1585	196	21	formula	formula	NOUN
ijassa-1585	196	22	(	(	PUNCT
ijassa-1585	196	23	4.14	4.14	NUM
ijassa-1585	196	24	)	)	PUNCT
ijassa-1585	196	25	evaluated	evaluate	VERB
ijassa-1585	196	26	types	type	NOUN
ijassa-1585	196	27	of	of	ADP
ijassa-1585	196	28	errors	error	NOUN
ijassa-1585	196	29	characteristic	characteristic	ADJ
ijassa-1585	196	30	max	max	PROPN
ijassa-1585	196	31	ape	ape	NOUN
ijassa-1585	196	32	,	,	PUNCT
ijassa-1585	196	33	%	%	NOUN
ijassa-1585	196	34	min	min	NOUN
ijassa-1585	196	35	ape	ape	NOUN
ijassa-1585	196	36	,	,	PUNCT
ijassa-1585	196	37	%	%	NOUN
ijassa-1585	196	38	mape	mape	NOUN
ijassa-1585	196	39	,	,	PUNCT
ijassa-1585	196	40	%	%	NOUN
ijassa-1585	196	41	quantile	quantile	PROPN
ijassa-1585	196	42	xp	xp	PROPN
ijassa-1585	196	43	,	,	PUNCT
ijassa-1585	196	44	c	c	PROPN
ijassa-1585	197	1	≈	≈	PROPN
ijassa-1585	197	2	0.370608	0.370608	NUM
ijassa-1585	197	3	3.123971	3.123971	NUM
ijassa-1585	197	4	0.002328	0.002328	NUM
ijassa-1585	197	5	0.734956	0.734956	NUM
ijassa-1585	197	6	quantile	quantile	NOUN
ijassa-1585	197	7	xp	xp	PROPN
ijassa-1585	197	8	,	,	PUNCT
ijassa-1585	197	9	c	c	PROPN
ijassa-1585	198	1	≈	≈	NOUN
ijassa-1585	198	2	0.348284	0.348284	NUM
ijassa-1585	198	3	2.819299	2.819299	NUM
ijassa-1585	198	4	0.007276	0.007276	NUM
ijassa-1585	198	5	0.699130	0.699130	NUM
ijassa-1585	198	6	the	the	DET
ijassa-1585	198	7	figure	figure	NOUN
ijassa-1585	198	8	4.6	4.6	NUM
ijassa-1585	198	9	clearly	clearly	ADV
ijassa-1585	198	10	demonstrates	demonstrate	VERB
ijassa-1585	198	11	the	the	DET
ijassa-1585	198	12	quality	quality	NOUN
ijassa-1585	198	13	of	of	ADP
ijassa-1585	198	14	approximation	approximation	NOUN
ijassa-1585	198	15	of	of	ADP
ijassa-1585	198	16	response	response	NOUN
ijassa-1585	198	17	time	time	NOUN
ijassa-1585	198	18	quantiles	quantile	NOUN
ijassa-1585	198	19	.	.	PUNCT
ijassa-1585	199	1	as	as	SCONJ
ijassa-1585	199	2	follows	follow	VERB
ijassa-1585	199	3	from	from	ADP
ijassa-1585	199	4	the	the	DET
ijassa-1585	199	5	graphs	graph	NOUN
ijassa-1585	199	6	,	,	PUNCT
ijassa-1585	199	7	large	large	ADJ
ijassa-1585	199	8	errors	error	NOUN
ijassa-1585	199	9	arise	arise	VERB
ijassa-1585	199	10	for	for	ADP
ijassa-1585	199	11	large	large	ADJ
ijassa-1585	199	12	values	value	NOUN
ijassa-1585	199	13	of	of	ADP
ijassa-1585	199	14	the	the	DET
ijassa-1585	199	15	system	system	NOUN
ijassa-1585	199	16	load	load	NOUN
ijassa-1585	199	17	factor	factor	NOUN
ijassa-1585	199	18	ρ	ρ	PROPN
ijassa-1585	199	19	,	,	PUNCT
ijassa-1585	199	20	but	but	CCONJ
ijassa-1585	199	21	do	do	AUX
ijassa-1585	199	22	not	not	PART
ijassa-1585	199	23	exceed	exceed	VERB
ijassa-1585	199	24	3	3	NUM
ijassa-1585	199	25	%	%	NOUN
ijassa-1585	199	26	,	,	PUNCT
ijassa-1585	199	27	which	which	PRON
ijassa-1585	199	28	is	be	AUX
ijassa-1585	199	29	an	an	DET
ijassa-1585	199	30	acceptable	acceptable	ADJ
ijassa-1585	199	31	result	result	NOUN
ijassa-1585	199	32	.	.	PUNCT
ijassa-1585	200	1	for	for	ADP
ijassa-1585	200	2	the	the	DET
ijassa-1585	200	3	sake	sake	NOUN
ijassa-1585	200	4	of	of	ADP
ijassa-1585	200	5	clarifying	clarify	VERB
ijassa-1585	200	6	the	the	DET
ijassa-1585	200	7	approximation	approximation	NOUN
ijassa-1585	200	8	of	of	ADP
ijassa-1585	200	9	quantiles	quantile	NOUN
ijassa-1585	200	10	,	,	PUNCT
ijassa-1585	200	11	returning	return	VERB
ijassa-1585	200	12	to	to	ADP
ijassa-1585	200	13	fig	fig	NOUN
ijassa-1585	200	14	.	.	PUNCT
ijassa-1585	201	1	4.4	4.4	NUM
ijassa-1585	201	2	,	,	PUNCT
ijassa-1585	201	3	we	we	PRON
ijassa-1585	201	4	can	can	AUX
ijassa-1585	201	5	note	note	VERB
ijassa-1585	201	6	the	the	DET
ijassa-1585	201	7	dependence	dependence	NOUN
ijassa-1585	201	8	of	of	ADP
ijassa-1585	201	9	the	the	DET
ijassa-1585	201	10	slope	slope	NOUN
ijassa-1585	201	11	of	of	ADP
ijassa-1585	201	12	the	the	DET
ijassa-1585	201	13	lines	line	NOUN
ijassa-1585	201	14	on	on	ADP
ijassa-1585	201	15	p.	p.	NOUN
ijassa-1585	201	16	this	this	PRON
ijassa-1585	201	17	suggests	suggest	VERB
ijassa-1585	201	18	that	that	SCONJ
ijassa-1585	201	19	instead	instead	ADV
ijassa-1585	201	20	of	of	ADP
ijassa-1585	201	21	the	the	DET
ijassa-1585	201	22	constant	constant	ADJ
ijassa-1585	201	23	c	c	NOUN
ijassa-1585	201	24	in	in	ADP
ijassa-1585	201	25	(	(	PUNCT
ijassa-1585	201	26	4.14	4.14	NUM
ijassa-1585	201	27	)	)	PUNCT
ijassa-1585	201	28	we	we	PRON
ijassa-1585	201	29	need	need	VERB
ijassa-1585	201	30	to	to	PART
ijassa-1585	201	31	use	use	VERB
ijassa-1585	201	32	expressions	expression	NOUN
ijassa-1585	201	33	of	of	ADP
ijassa-1585	201	34	the	the	DET
ijassa-1585	201	35	form	form	NOUN
ijassa-1585	201	36	c1	c1	PROPN
ijassa-1585	201	37	−	−	PROPN
ijassa-1585	201	38	c2p	c2p	PROPN
ijassa-1585	201	39	or	or	CCONJ
ijassa-1585	201	40	c1	c1	PROPN
ijassa-1585	202	1	−	−	PROPN
ijassa-1585	202	2	c2p	c2p	NOUN
ijassa-1585	202	3	2	2	NUM
ijassa-1585	202	4	.	.	PUNCT
ijassa-1585	203	1	the	the	DET
ijassa-1585	203	2	selection	selection	NOUN
ijassa-1585	203	3	of	of	ADP
ijassa-1585	203	4	constants	constant	NOUN
ijassa-1585	203	5	by	by	ADP
ijassa-1585	203	6	the	the	DET
ijassa-1585	203	7	nelder	nelder	ADJ
ijassa-1585	203	8	-	-	PUNCT
ijassa-1585	203	9	mead	mead	NOUN
ijassa-1585	203	10	method	method	NOUN
ijassa-1585	203	11	and	and	CCONJ
ijassa-1585	203	12	a	a	DET
ijassa-1585	203	13	comparative	comparative	ADJ
ijassa-1585	203	14	analysis	analysis	NOUN
ijassa-1585	203	15	of	of	ADP
ijassa-1585	203	16	the	the	DET
ijassa-1585	203	17	accuracy	accuracy	NOUN
ijassa-1585	203	18	show	show	VERB
ijassa-1585	203	19	that	that	SCONJ
ijassa-1585	203	20	the	the	DET
ijassa-1585	203	21	second	second	ADJ
ijassa-1585	203	22	option	option	NOUN
ijassa-1585	203	23	is	be	AUX
ijassa-1585	203	24	better	well	ADJ
ijassa-1585	203	25	,	,	PUNCT
ijassa-1585	203	26	namely	namely	ADV
ijassa-1585	203	27	,	,	PUNCT
ijassa-1585	203	28	the	the	DET
ijassa-1585	203	29	approximation	approximation	NOUN
ijassa-1585	203	30	xp	xp	INTJ
ijassa-1585	204	1	≈	≈	PROPN
ijassa-1585	204	2	−	−	PROPN
ijassa-1585	205	1	ln(1−	ln(1−	PROPN
ijassa-1585	205	2	p	p	NOUN
ijassa-1585	205	3	1	1	NUM
ijassa-1585	205	4	2−(c1−c2p	2−(c1−c2p	NUM
ijassa-1585	205	5	2)ρ	2)ρ	NUM
ijassa-1585	205	6	)	)	PUNCT
ijassa-1585	205	7	µ−	µ−	PROPN
ijassa-1585	205	8	λ	λ	PROPN
ijassa-1585	205	9	,	,	PUNCT
ijassa-1585	205	10	(	(	PUNCT
ijassa-1585	205	11	4.15	4.15	NUM
ijassa-1585	205	12	)	)	PUNCT
ijassa-1585	205	13	where	where	SCONJ
ijassa-1585	205	14	c1	c1	PROPN
ijassa-1585	205	15	≈	≈	PROPN
ijassa-1585	205	16	0.390327	0.390327	PROPN
ijassa-1585	205	17	,	,	PUNCT
ijassa-1585	205	18	c2	c2	PROPN
ijassa-1585	205	19	≈	≈	PROPN
ijassa-1585	205	20	0.237842	0.237842	NUM
ijassa-1585	205	21	,	,	PUNCT
ijassa-1585	205	22	moreover	moreover	ADV
ijassa-1585	205	23	,	,	PUNCT
ijassa-1585	205	24	the	the	DET
ijassa-1585	205	25	error	error	NOUN
ijassa-1585	205	26	is	be	AUX
ijassa-1585	205	27	only	only	ADV
ijassa-1585	205	28	0.62	0.62	NUM
ijassa-1585	205	29	%	%	NOUN
ijassa-1585	205	30	,	,	PUNCT
ijassa-1585	205	31	which	which	PRON
ijassa-1585	205	32	is	be	AUX
ijassa-1585	205	33	4.6	4.6	NUM
ijassa-1585	205	34	times	time	NOUN
ijassa-1585	205	35	less	less	ADJ
ijassa-1585	205	36	than	than	ADP
ijassa-1585	205	37	before	before	ADV
ijassa-1585	205	38	.	.	PUNCT
ijassa-1585	206	1	the	the	DET
ijassa-1585	206	2	obtained	obtain	VERB
ijassa-1585	206	3	results	result	NOUN
ijassa-1585	206	4	in	in	ADP
ijassa-1585	206	5	more	more	ADJ
ijassa-1585	206	6	detail	detail	NOUN
ijassa-1585	206	7	are	be	AUX
ijassa-1585	206	8	presented	present	VERB
ijassa-1585	206	9	in	in	ADP
ijassa-1585	206	10	the	the	DET
ijassa-1585	206	11	table	table	NOUN
ijassa-1585	206	12	4.3	4.3	NUM
ijassa-1585	206	13	.	.	PUNCT
ijassa-1585	207	1	copyright	copyright	NOUN
ijassa-1585	207	2	©	©	PROPN
ijassa-1585	207	3	2024	2024	NUM
ijassa-1585	207	4	assa	assa	NOUN
ijassa-1585	207	5	.	.	PUNCT
ijassa-1585	208	1	adv	adv	PROPN
ijassa-1585	208	2	syst	syst	PROPN
ijassa-1585	208	3	sci	sci	PROPN
ijassa-1585	208	4	appl	appl	PROPN
ijassa-1585	208	5	(	(	PUNCT
ijassa-1585	208	6	2024	2024	NUM
ijassa-1585	208	7	)	)	PUNCT
ijassa-1585	208	8	10	10	NUM
ijassa-1585	208	9	a.v	a.v	PROPN
ijassa-1585	208	10	.	.	PROPN
ijassa-1585	208	11	gorbunova	gorbunova	PROPN
ijassa-1585	208	12	,	,	PUNCT
ijassa-1585	208	13	a.v	a.v	PROPN
ijassa-1585	208	14	.	.	PROPN
ijassa-1585	208	15	lebedev	lebedev	PROPN
ijassa-1585	208	16	0	0	NUM
ijassa-1585	209	1	5	5	NUM
ijassa-1585	209	2	10	10	NUM
ijassa-1585	209	3	15	15	NUM
ijassa-1585	209	4	20	20	NUM
ijassa-1585	209	5	25	25	NUM
ijassa-1585	209	6	0.0	0.0	NUM
ijassa-1585	209	7	0.1	0.1	NUM
ijassa-1585	209	8	0.2	0.2	NUM
ijassa-1585	209	9	0.3	0.3	NUM
ijassa-1585	209	10	0.4	0.4	NUM
ijassa-1585	209	11	0.5	0.5	NUM
ijassa-1585	209	12	0.6	0.6	NUM
ijassa-1585	209	13	0.7	0.7	NUM
ijassa-1585	209	14	0.8	0.8	NUM
ijassa-1585	209	15	0.9	0.9	NUM
ijassa-1585	209	16	1.0	1.0	NUM
ijassa-1585	209	17	x	x	SYM
ijassa-1585	209	18	p	p	NOUN
ijassa-1585	209	19	ρ	ρ	NUM
ijassa-1585	209	20	p	p	X
ijassa-1585	209	21	=	=	PUNCT
ijassa-1585	209	22	0.2	0.2	NUM
ijassa-1585	209	23	simulation	simulation	NOUN
ijassa-1585	209	24	p	p	NOUN
ijassa-1585	209	25	=	=	PROPN
ijassa-1585	209	26	0.3	0.3	NUM
ijassa-1585	209	27	simulation	simulation	NOUN
ijassa-1585	209	28	p	p	NOUN
ijassa-1585	209	29	=	=	PROPN
ijassa-1585	209	30	0.4	0.4	NUM
ijassa-1585	209	31	simulation	simulation	NOUN
ijassa-1585	209	32	p	p	NOUN
ijassa-1585	209	33	=	=	PROPN
ijassa-1585	209	34	0.5	0.5	NUM
ijassa-1585	209	35	simulation	simulation	NOUN
ijassa-1585	209	36	p	p	NOUN
ijassa-1585	209	37	=	=	PROPN
ijassa-1585	209	38	0.6	0.6	NUM
ijassa-1585	209	39	simulation	simulation	NOUN
ijassa-1585	209	40	p	p	NOUN
ijassa-1585	209	41	=	=	PROPN
ijassa-1585	209	42	0.7	0.7	NUM
ijassa-1585	209	43	simulation	simulation	NOUN
ijassa-1585	209	44	p	p	NOUN
ijassa-1585	209	45	=	=	PROPN
ijassa-1585	209	46	0.8	0.8	NUM
ijassa-1585	209	47	simulation	simulation	NOUN
ijassa-1585	209	48	p	p	NOUN
ijassa-1585	209	49	=	=	PROPN
ijassa-1585	209	50	0.9	0.9	NUM
ijassa-1585	209	51	simulation	simulation	NOUN
ijassa-1585	209	52	fig	fig	NOUN
ijassa-1585	209	53	.	.	PUNCT
ijassa-1585	210	1	4.6	4.6	NUM
ijassa-1585	210	2	.	.	PUNCT
ijassa-1585	211	1	comparison	comparison	NOUN
ijassa-1585	211	2	of	of	ADP
ijassa-1585	211	3	analytical	analytical	ADJ
ijassa-1585	211	4	results	result	NOUN
ijassa-1585	211	5	of	of	ADP
ijassa-1585	211	6	the	the	DET
ijassa-1585	211	7	formula	formula	NOUN
ijassa-1585	211	8	(	(	PUNCT
ijassa-1585	211	9	4.14	4.14	NUM
ijassa-1585	211	10	)	)	PUNCT
ijassa-1585	211	11	with	with	ADP
ijassa-1585	211	12	simulation	simulation	NOUN
ijassa-1585	211	13	modeling	modeling	NOUN
ijassa-1585	211	14	of	of	ADP
ijassa-1585	211	15	quantiles	quantile	NOUN
ijassa-1585	211	16	xp	xp	INTJ
ijassa-1585	211	17	of	of	ADP
ijassa-1585	211	18	the	the	DET
ijassa-1585	211	19	random	random	ADJ
ijassa-1585	211	20	variable	variable	NOUN
ijassa-1585	211	21	of	of	ADP
ijassa-1585	211	22	response	response	NOUN
ijassa-1585	211	23	time	time	PROPN
ijassa-1585	211	24	r.	r.	PROPN
ijassa-1585	211	25	table	table	PROPN
ijassa-1585	211	26	4.3	4.3	NUM
ijassa-1585	211	27	.	.	PUNCT
ijassa-1585	212	1	errors	error	NOUN
ijassa-1585	212	2	in	in	ADP
ijassa-1585	212	3	response	response	NOUN
ijassa-1585	212	4	time	time	NOUN
ijassa-1585	212	5	quantile	quantile	ADJ
ijassa-1585	212	6	approximations	approximation	NOUN
ijassa-1585	212	7	calculated	calculate	VERB
ijassa-1585	212	8	by	by	ADP
ijassa-1585	212	9	using	use	VERB
ijassa-1585	212	10	the	the	DET
ijassa-1585	212	11	analytical	analytical	ADJ
ijassa-1585	212	12	formula	formula	NOUN
ijassa-1585	212	13	(	(	PUNCT
ijassa-1585	212	14	4.15	4.15	NUM
ijassa-1585	212	15	)	)	PUNCT
ijassa-1585	212	16	compared	compare	VERB
ijassa-1585	212	17	to	to	ADP
ijassa-1585	212	18	simulation	simulation	NOUN
ijassa-1585	212	19	results	result	NOUN
ijassa-1585	212	20	evaluated	evaluate	VERB
ijassa-1585	212	21	types	type	NOUN
ijassa-1585	212	22	of	of	ADP
ijassa-1585	212	23	errors	error	NOUN
ijassa-1585	212	24	characteristic	characteristic	ADJ
ijassa-1585	212	25	max	max	PROPN
ijassa-1585	212	26	ape	ape	NOUN
ijassa-1585	212	27	,	,	PUNCT
ijassa-1585	212	28	%	%	NOUN
ijassa-1585	212	29	min	min	NOUN
ijassa-1585	212	30	ape	ape	NOUN
ijassa-1585	212	31	,	,	PUNCT
ijassa-1585	212	32	%	%	NOUN
ijassa-1585	212	33	mape	mape	NOUN
ijassa-1585	212	34	,	,	PUNCT
ijassa-1585	212	35	%	%	NOUN
ijassa-1585	212	36	quantile	quantile	NOUN
ijassa-1585	213	1	xp	xp	INTJ
ijassa-1585	214	1	0.617316	0.617316	NUM
ijassa-1585	214	2	0.004912	0.004912	NUM
ijassa-1585	214	3	0.304632	0.304632	NUM
ijassa-1585	214	4	unfortunately	unfortunately	ADV
ijassa-1585	214	5	,	,	PUNCT
ijassa-1585	214	6	this	this	DET
ijassa-1585	214	7	approach	approach	NOUN
ijassa-1585	214	8	does	do	AUX
ijassa-1585	214	9	not	not	PART
ijassa-1585	214	10	provide	provide	VERB
ijassa-1585	214	11	an	an	DET
ijassa-1585	214	12	explicit	explicit	ADJ
ijassa-1585	214	13	expression	expression	NOUN
ijassa-1585	214	14	or	or	CCONJ
ijassa-1585	214	15	convenient	convenient	ADJ
ijassa-1585	214	16	approximation	approximation	NOUN
ijassa-1585	214	17	for	for	ADP
ijassa-1585	214	18	the	the	DET
ijassa-1585	214	19	diagonal	diagonal	ADJ
ijassa-1585	214	20	section	section	NOUN
ijassa-1585	214	21	,	,	PUNCT
ijassa-1585	214	22	so	so	SCONJ
ijassa-1585	214	23	we	we	PRON
ijassa-1585	214	24	will	will	AUX
ijassa-1585	214	25	return	return	VERB
ijassa-1585	214	26	to	to	ADP
ijassa-1585	214	27	the	the	DET
ijassa-1585	214	28	formula	formula	NOUN
ijassa-1585	214	29	(	(	PUNCT
ijassa-1585	214	30	4.10	4.10	NUM
ijassa-1585	214	31	)	)	PUNCT
ijassa-1585	214	32	and	and	CCONJ
ijassa-1585	214	33	move	move	VERB
ijassa-1585	214	34	from	from	ADP
ijassa-1585	214	35	there	there	ADV
ijassa-1585	214	36	to	to	ADP
ijassa-1585	214	37	copulas	copula	NOUN
ijassa-1585	214	38	.	.	PUNCT
ijassa-1585	215	1	5	5	X
ijassa-1585	215	2	.	.	X
ijassa-1585	215	3	approximation	approximation	NOUN
ijassa-1585	215	4	of	of	ADP
ijassa-1585	215	5	the	the	DET
ijassa-1585	215	6	copula	copula	NOUN
ijassa-1585	215	7	of	of	ADP
ijassa-1585	215	8	sojourn	sojourn	NOUN
ijassa-1585	215	9	times	time	NOUN
ijassa-1585	215	10	of	of	ADP
ijassa-1585	215	11	subtasks	subtask	NOUN
ijassa-1585	215	12	by	by	ADP
ijassa-1585	215	13	the	the	DET
ijassa-1585	215	14	gumbel	gumbel	PROPN
ijassa-1585	215	15	copula	copula	NOUN
ijassa-1585	215	16	in	in	ADP
ijassa-1585	215	17	the	the	DET
ijassa-1585	215	18	previous	previous	ADJ
ijassa-1585	215	19	section	section	NOUN
ijassa-1585	215	20	,	,	PUNCT
ijassa-1585	215	21	the	the	DET
ijassa-1585	215	22	estimate	estimate	NOUN
ijassa-1585	215	23	for	for	ADP
ijassa-1585	215	24	the	the	DET
ijassa-1585	215	25	diagonal	diagonal	ADJ
ijassa-1585	215	26	section	section	NOUN
ijassa-1585	215	27	of	of	ADP
ijassa-1585	215	28	the	the	DET
ijassa-1585	215	29	copula	copula	PROPN
ijassa-1585	215	30	δ(u	δ(u	PROPN
ijassa-1585	215	31	)	)	PUNCT
ijassa-1585	215	32	was	be	AUX
ijassa-1585	215	33	obtained	obtain	VERB
ijassa-1585	215	34	.	.	PUNCT
ijassa-1585	216	1	in	in	ADP
ijassa-1585	216	2	this	this	DET
ijassa-1585	216	3	section	section	NOUN
ijassa-1585	216	4	,	,	PUNCT
ijassa-1585	216	5	we	we	PRON
ijassa-1585	216	6	will	will	AUX
ijassa-1585	216	7	present	present	VERB
ijassa-1585	216	8	an	an	DET
ijassa-1585	216	9	analytical	analytical	ADJ
ijassa-1585	216	10	expression	expression	NOUN
ijassa-1585	216	11	that	that	PRON
ijassa-1585	216	12	evaluates	evaluate	VERB
ijassa-1585	216	13	the	the	DET
ijassa-1585	216	14	copula	copula	ADJ
ijassa-1585	216	15	c(u1	c(u1	NOUN
ijassa-1585	216	16	,	,	PUNCT
ijassa-1585	216	17	u2	u2	PROPN
ijassa-1585	216	18	)	)	PUNCT
ijassa-1585	216	19	itself	itself	PRON
ijassa-1585	216	20	.	.	PUNCT
ijassa-1585	217	1	this	this	PRON
ijassa-1585	217	2	will	will	AUX
ijassa-1585	217	3	require	require	VERB
ijassa-1585	217	4	empirical	empirical	ADJ
ijassa-1585	217	5	data	datum	NOUN
ijassa-1585	217	6	,	,	PUNCT
ijassa-1585	217	7	after	after	ADP
ijassa-1585	217	8	analyzing	analyze	VERB
ijassa-1585	217	9	which	which	PRON
ijassa-1585	217	10	it	it	PRON
ijassa-1585	217	11	will	will	AUX
ijassa-1585	217	12	be	be	AUX
ijassa-1585	217	13	possible	possible	ADJ
ijassa-1585	217	14	to	to	PART
ijassa-1585	217	15	conclude	conclude	VERB
ijassa-1585	217	16	that	that	SCONJ
ijassa-1585	217	17	the	the	DET
ijassa-1585	217	18	copula	copula	NOUN
ijassa-1585	217	19	under	under	ADP
ijassa-1585	217	20	study	study	NOUN
ijassa-1585	217	21	is	be	AUX
ijassa-1585	217	22	close	close	ADJ
ijassa-1585	217	23	to	to	ADP
ijassa-1585	217	24	one	one	NUM
ijassa-1585	217	25	of	of	ADP
ijassa-1585	217	26	the	the	DET
ijassa-1585	217	27	known	know	VERB
ijassa-1585	217	28	families	family	NOUN
ijassa-1585	217	29	.	.	PUNCT
ijassa-1585	218	1	the	the	DET
ijassa-1585	218	2	algorithm	algorithm	NOUN
ijassa-1585	218	3	for	for	ADP
ijassa-1585	218	4	constructing	construct	VERB
ijassa-1585	218	5	an	an	DET
ijassa-1585	218	6	empirical	empirical	ADJ
ijassa-1585	218	7	copula	copula	NOUN
ijassa-1585	218	8	will	will	AUX
ijassa-1585	218	9	be	be	AUX
ijassa-1585	218	10	as	as	SCONJ
ijassa-1585	218	11	follows	follow	VERB
ijassa-1585	218	12	:	:	PUNCT
ijassa-1585	218	13	1	1	X
ijassa-1585	218	14	)	)	PUNCT
ijassa-1585	218	15	the	the	DET
ijassa-1585	218	16	simulation	simulation	NOUN
ijassa-1585	218	17	modeling	modeling	NOUN
ijassa-1585	218	18	of	of	ADP
ijassa-1585	218	19	a	a	DET
ijassa-1585	218	20	set	set	NOUN
ijassa-1585	218	21	of	of	ADP
ijassa-1585	218	22	pairs	pair	NOUN
ijassa-1585	218	23	(	(	PUNCT
ijassa-1585	218	24	ξk1	ξk1	NOUN
ijassa-1585	218	25	,	,	PUNCT
ijassa-1585	218	26	ξ	ξ	PROPN
ijassa-1585	218	27	k	k	PROPN
ijassa-1585	218	28	2	2	NUM
ijassa-1585	218	29	)	)	PUNCT
ijassa-1585	218	30	of	of	ADP
ijassa-1585	218	31	random	random	ADJ
ijassa-1585	218	32	variables	variable	NOUN
ijassa-1585	218	33	of	of	ADP
ijassa-1585	218	34	sojourn	sojourn	NOUN
ijassa-1585	218	35	times	time	NOUN
ijassa-1585	218	36	in	in	ADP
ijassa-1585	218	37	subsystems	subsystem	NOUN
ijassa-1585	219	1	m	m	VERB
ijassa-1585	219	2	|m	|m	NOUN
ijassa-1585	219	3	|1	|1	DET
ijassa-1585	219	4	fork	fork	NOUN
ijassa-1585	219	5	-	-	PUNCT
ijassa-1585	219	6	join	join	NOUN
ijassa-1585	219	7	qs	qs	NOUN
ijassa-1585	219	8	,	,	PUNCT
ijassa-1585	219	9	where	where	SCONJ
ijassa-1585	219	10	k	k	PROPN
ijassa-1585	219	11	is	be	AUX
ijassa-1585	219	12	the	the	DET
ijassa-1585	219	13	serial	serial	ADJ
ijassa-1585	219	14	number	number	NOUN
ijassa-1585	219	15	of	of	ADP
ijassa-1585	219	16	the	the	DET
ijassa-1585	219	17	simulated	simulate	VERB
ijassa-1585	219	18	pair	pair	NOUN
ijassa-1585	219	19	of	of	ADP
ijassa-1585	219	20	values	value	NOUN
ijassa-1585	219	21	,	,	PUNCT
ijassa-1585	219	22	k	k	PROPN
ijassa-1585	219	23	=	=	SYM
ijassa-1585	219	24	1	1	NUM
ijassa-1585	219	25	,	,	PUNCT
ijassa-1585	219	26	...	...	PUNCT
ijassa-1585	219	27	,	,	PUNCT
ijassa-1585	219	28	n	n	X
ijassa-1585	219	29	,	,	PUNCT
ijassa-1585	219	30	n	n	X
ijassa-1585	219	31	is	be	AUX
ijassa-1585	219	32	the	the	DET
ijassa-1585	219	33	sample	sample	NOUN
ijassa-1585	219	34	size	size	NOUN
ijassa-1585	219	35	(	(	PUNCT
ijassa-1585	219	36	total	total	ADJ
ijassa-1585	219	37	number	number	NOUN
ijassa-1585	219	38	of	of	ADP
ijassa-1585	219	39	pairs	pair	NOUN
ijassa-1585	219	40	of	of	ADP
ijassa-1585	219	41	random	random	ADJ
ijassa-1585	219	42	variables	variable	NOUN
ijassa-1585	219	43	)	)	PUNCT
ijassa-1585	219	44	;	;	PUNCT
ijassa-1585	219	45	2	2	X
ijassa-1585	219	46	)	)	PUNCT
ijassa-1585	219	47	the	the	DET
ijassa-1585	219	48	transformation	transformation	NOUN
ijassa-1585	219	49	of	of	ADP
ijassa-1585	219	50	random	random	ADJ
ijassa-1585	219	51	variables	variable	NOUN
ijassa-1585	219	52	with	with	ADP
ijassa-1585	219	53	exponential	exponential	ADJ
ijassa-1585	219	54	distribution	distribution	NOUN
ijassa-1585	219	55	ξi	ξi	NOUN
ijassa-1585	219	56	∼	∼	NOUN
ijassa-1585	219	57	exp(µ−	exp(µ−	PROPN
ijassa-1585	219	58	λ	λ	PROPN
ijassa-1585	219	59	)	)	PUNCT
ijassa-1585	219	60	by	by	ADP
ijassa-1585	219	61	the	the	DET
ijassa-1585	219	62	inverse	inverse	NOUN
ijassa-1585	219	63	function	function	NOUN
ijassa-1585	219	64	method	method	NOUN
ijassa-1585	219	65	into	into	ADP
ijassa-1585	219	66	random	random	ADJ
ijassa-1585	219	67	variables	variable	NOUN
ijassa-1585	219	68	with	with	ADP
ijassa-1585	219	69	uniform	uniform	ADJ
ijassa-1585	219	70	distribution	distribution	NOUN
ijassa-1585	219	71	on	on	ADP
ijassa-1585	219	72	the	the	DET
ijassa-1585	219	73	copyright	copyright	NOUN
ijassa-1585	219	74	©	©	PROPN
ijassa-1585	219	75	2024	2024	NUM
ijassa-1585	219	76	assa	assa	NOUN
ijassa-1585	219	77	.	.	PUNCT
ijassa-1585	220	1	adv	adv	PROPN
ijassa-1585	220	2	syst	syst	PROPN
ijassa-1585	220	3	sci	sci	PROPN
ijassa-1585	220	4	appl	appl	PROPN
ijassa-1585	220	5	(	(	PUNCT
ijassa-1585	220	6	2024	2024	NUM
ijassa-1585	220	7	)	)	PUNCT
ijassa-1585	220	8	assa	assa	NOUN
ijassa-1585	220	9	latex	latex	NOUN
ijassa-1585	220	10	template	template	NOUN
ijassa-1585	220	11	11	11	NUM
ijassa-1585	220	12	interval	interval	NOUN
ijassa-1585	220	13	[	[	X
ijassa-1585	220	14	0	0	NUM
ijassa-1585	220	15	,	,	PUNCT
ijassa-1585	220	16	1	1	NUM
ijassa-1585	220	17	]	]	PUNCT
ijassa-1585	220	18	,	,	PUNCT
ijassa-1585	220	19	ui	ui	ADJ
ijassa-1585	220	20	∼	∼	NOUN
ijassa-1585	220	21	r[0	r[0	NOUN
ijassa-1585	220	22	,	,	PUNCT
ijassa-1585	220	23	1	1	NUM
ijassa-1585	220	24	]	]	PUNCT
ijassa-1585	220	25	,	,	PUNCT
ijassa-1585	220	26	i	i	PRON
ijassa-1585	220	27	=	=	NOUN
ijassa-1585	220	28	1	1	NUM
ijassa-1585	220	29	,	,	PUNCT
ijassa-1585	220	30	2	2	NUM
ijassa-1585	220	31	(	(	PUNCT
ijassa-1585	220	32	uk	uk	PROPN
ijassa-1585	220	33	1	1	NUM
ijassa-1585	220	34	,	,	PUNCT
ijassa-1585	220	35	u	u	NOUN
ijassa-1585	220	36	k	k	PROPN
ijassa-1585	220	37	2	2	NUM
ijassa-1585	220	38	)	)	PUNCT
ijassa-1585	220	39	=	=	PUNCT
ijassa-1585	220	40	(	(	PUNCT
ijassa-1585	220	41	f	f	X
ijassa-1585	220	42	(	(	PUNCT
ijassa-1585	220	43	ξk1	ξk1	PROPN
ijassa-1585	220	44	)	)	PUNCT
ijassa-1585	220	45	,	,	PUNCT
ijassa-1585	220	46	f	f	PROPN
ijassa-1585	220	47	(	(	PUNCT
ijassa-1585	220	48	ξ	ξ	X
ijassa-1585	220	49	k	k	PROPN
ijassa-1585	220	50	2	2	NUM
ijassa-1585	220	51	)	)	PUNCT
ijassa-1585	220	52	)	)	PUNCT
ijassa-1585	221	1	=	=	PUNCT
ijassa-1585	221	2	(	(	PUNCT
ijassa-1585	221	3	1−	1−	NUM
ijassa-1585	221	4	e−(µ−λ)ξk1	e−(µ−λ)ξk1	NOUN
ijassa-1585	221	5	,	,	PUNCT
ijassa-1585	221	6	1−	1−	NUM
ijassa-1585	221	7	e−(µ−λ)ξk2	e−(µ−λ)ξk2	NOUN
ijassa-1585	221	8	)	)	PUNCT
ijassa-1585	221	9	;	;	PUNCT
ijassa-1585	221	10	3	3	X
ijassa-1585	221	11	)	)	PUNCT
ijassa-1585	221	12	the	the	DET
ijassa-1585	221	13	division	division	NOUN
ijassa-1585	221	14	of	of	ADP
ijassa-1585	221	15	the	the	DET
ijassa-1585	221	16	unit	unit	NOUN
ijassa-1585	221	17	square	square	ADJ
ijassa-1585	221	18	into	into	ADP
ijassa-1585	221	19	smaller	small	ADJ
ijassa-1585	221	20	squares	square	NOUN
ijassa-1585	221	21	(	(	PUNCT
ijassa-1585	221	22	grid	grid	NOUN
ijassa-1585	221	23	)	)	PUNCT
ijassa-1585	221	24	with	with	ADP
ijassa-1585	221	25	sides	side	NOUN
ijassa-1585	221	26	of	of	ADP
ijassa-1585	221	27	length	length	NOUN
ijassa-1585	221	28	h	h	NOUN
ijassa-1585	221	29	=	=	NOUN
ijassa-1585	221	30	1	1	NUM
ijassa-1585	221	31	/	/	SYM
ijassa-1585	221	32	m	m	PROPN
ijassa-1585	221	33	,	,	PUNCT
ijassa-1585	221	34	where	where	SCONJ
ijassa-1585	221	35	,	,	PUNCT
ijassa-1585	221	36	for	for	ADP
ijassa-1585	221	37	example	example	NOUN
ijassa-1585	221	38	,	,	PUNCT
ijassa-1585	221	39	m	m	VERB
ijassa-1585	221	40	=	=	ADJ
ijassa-1585	221	41	20	20	NUM
ijassa-1585	221	42	and	and	CCONJ
ijassa-1585	221	43	the	the	DET
ijassa-1585	221	44	determination	determination	NOUN
ijassa-1585	221	45	of	of	ADP
ijassa-1585	221	46	the	the	DET
ijassa-1585	221	47	number	number	NOUN
ijassa-1585	221	48	of	of	ADP
ijassa-1585	221	49	points	point	NOUN
ijassa-1585	221	50	(	(	PUNCT
ijassa-1585	221	51	uk	uk	PROPN
ijassa-1585	221	52	1	1	NUM
ijassa-1585	221	53	,	,	PUNCT
ijassa-1585	221	54	u	u	NOUN
ijassa-1585	221	55	k	k	PROPN
ijassa-1585	221	56	2	2	X
ijassa-1585	221	57	)	)	PUNCT
ijassa-1585	221	58	falling	fall	VERB
ijassa-1585	221	59	into	into	ADP
ijassa-1585	221	60	each	each	PRON
ijassa-1585	221	61	of	of	ADP
ijassa-1585	221	62	squares	square	NOUN
ijassa-1585	221	63	whose	whose	DET
ijassa-1585	221	64	vertices	vertex	NOUN
ijassa-1585	221	65	are	be	AUX
ijassa-1585	221	66	the	the	DET
ijassa-1585	221	67	points	point	NOUN
ijassa-1585	221	68	(	(	PUNCT
ijassa-1585	221	69	0	0	NUM
ijassa-1585	221	70	,	,	PUNCT
ijassa-1585	221	71	0	0	NUM
ijassa-1585	221	72	)	)	PUNCT
ijassa-1585	221	73	,	,	PUNCT
ijassa-1585	221	74	(	(	PUNCT
ijassa-1585	221	75	ih	ih	NOUN
ijassa-1585	221	76	,	,	PUNCT
ijassa-1585	221	77	0	0	NUM
ijassa-1585	221	78	)	)	PUNCT
ijassa-1585	221	79	,	,	PUNCT
ijassa-1585	221	80	(	(	PUNCT
ijassa-1585	221	81	0	0	NUM
ijassa-1585	221	82	,	,	PUNCT
ijassa-1585	221	83	jh	jh	PROPN
ijassa-1585	221	84	)	)	PUNCT
ijassa-1585	221	85	,	,	PUNCT
ijassa-1585	221	86	(	(	PUNCT
ijassa-1585	221	87	ih	ih	X
ijassa-1585	221	88	,	,	PUNCT
ijassa-1585	221	89	jh	jh	PROPN
ijassa-1585	221	90	)	)	PUNCT
ijassa-1585	221	91	,	,	PUNCT
ijassa-1585	221	92	i	i	PRON
ijassa-1585	221	93	,	,	PUNCT
ijassa-1585	221	94	j	j	PROPN
ijassa-1585	221	95	=	=	SYM
ijassa-1585	221	96	1	1	NUM
ijassa-1585	221	97	,	,	PUNCT
ijassa-1585	221	98	...	...	PUNCT
ijassa-1585	221	99	,	,	PUNCT
ijassa-1585	221	100	m	m	PROPN
ijassa-1585	221	101	,	,	PUNCT
ijassa-1585	221	102	and	and	CCONJ
ijassa-1585	221	103	normalization	normalization	NOUN
ijassa-1585	221	104	of	of	ADP
ijassa-1585	221	105	the	the	DET
ijassa-1585	221	106	resulting	result	VERB
ijassa-1585	221	107	value	value	NOUN
ijassa-1585	221	108	,	,	PUNCT
ijassa-1585	221	109	i.	i.	PROPN
ijassa-1585	221	110	e.	e.	PROPN
ijassa-1585	221	111	cij	cij	PROPN
ijassa-1585	221	112	=	=	PUNCT
ijassa-1585	221	113	c(ih	c(ih	PROPN
ijassa-1585	221	114	,	,	PUNCT
ijassa-1585	221	115	jh	jh	PROPN
ijassa-1585	221	116	)	)	PUNCT
ijassa-1585	222	1	≈	≈	PROPN
ijassa-1585	222	2	ĉij	ĉij	NOUN
ijassa-1585	222	3	=	=	SYM
ijassa-1585	222	4	1	1	NUM
ijassa-1585	222	5	n	n	NUM
ijassa-1585	222	6	n∑	n∑	NOUN
ijassa-1585	222	7	k=1	k=1	PUNCT
ijassa-1585	223	1	1{uk	1{uk	NOUN
ijassa-1585	223	2	1	1	NUM
ijassa-1585	223	3	<	<	X
ijassa-1585	223	4	ih	ih	X
ijassa-1585	223	5	,	,	PUNCT
ijassa-1585	223	6	uk	uk	PROPN
ijassa-1585	223	7	2	2	NUM
ijassa-1585	223	8	<	<	X
ijassa-1585	223	9	jh	jh	PROPN
ijassa-1585	223	10	}	}	PUNCT
ijassa-1585	223	11	,	,	PUNCT
ijassa-1585	223	12	where	where	SCONJ
ijassa-1585	223	13	1	1	X
ijassa-1585	223	14	{	{	PUNCT
ijassa-1585	223	15	·	·	PUNCT
ijassa-1585	223	16	}	}	PUNCT
ijassa-1585	223	17	is	be	AUX
ijassa-1585	223	18	an	an	DET
ijassa-1585	223	19	indicator	indicator	NOUN
ijassa-1585	223	20	function	function	NOUN
ijassa-1585	223	21	for	for	ADP
ijassa-1585	223	22	the	the	DET
ijassa-1585	223	23	event	event	NOUN
ijassa-1585	223	24	{	{	PUNCT
ijassa-1585	223	25	·	·	PUNCT
ijassa-1585	223	26	}	}	PUNCT
ijassa-1585	223	27	.	.	PUNCT
ijassa-1585	224	1	figure	figure	NOUN
ijassa-1585	224	2	5.7	5.7	NUM
ijassa-1585	224	3	shows	show	VERB
ijassa-1585	224	4	a	a	DET
ijassa-1585	224	5	graph	graph	NOUN
ijassa-1585	224	6	of	of	ADP
ijassa-1585	224	7	an	an	DET
ijassa-1585	224	8	empirical	empirical	ADJ
ijassa-1585	224	9	copula	copula	NOUN
ijassa-1585	224	10	or	or	CCONJ
ijassa-1585	224	11	,	,	PUNCT
ijassa-1585	224	12	what	what	PRON
ijassa-1585	224	13	is	be	AUX
ijassa-1585	224	14	the	the	DET
ijassa-1585	224	15	same	same	ADJ
ijassa-1585	224	16	,	,	PUNCT
ijassa-1585	224	17	a	a	DET
ijassa-1585	224	18	joint	joint	ADJ
ijassa-1585	224	19	distribution	distribution	NOUN
ijassa-1585	224	20	function	function	NOUN
ijassa-1585	224	21	of	of	ADP
ijassa-1585	224	22	a	a	DET
ijassa-1585	224	23	random	random	ADJ
ijassa-1585	224	24	vector	vector	NOUN
ijassa-1585	224	25	(	(	PUNCT
ijassa-1585	224	26	u1	u1	NOUN
ijassa-1585	224	27	,	,	PUNCT
ijassa-1585	224	28	u2	u2	PROPN
ijassa-1585	224	29	)	)	PUNCT
ijassa-1585	224	30	,	,	PUNCT
ijassa-1585	224	31	constructed	construct	VERB
ijassa-1585	224	32	in	in	ADP
ijassa-1585	224	33	accordance	accordance	NOUN
ijassa-1585	224	34	with	with	ADP
ijassa-1585	224	35	the	the	DET
ijassa-1585	224	36	algorithm	algorithm	NOUN
ijassa-1585	224	37	presented	present	VERB
ijassa-1585	224	38	above	above	ADV
ijassa-1585	224	39	.	.	PUNCT
ijassa-1585	225	1	we	we	PRON
ijassa-1585	225	2	will	will	AUX
ijassa-1585	225	3	also	also	ADV
ijassa-1585	225	4	construct	construct	VERB
ijassa-1585	225	5	the	the	DET
ijassa-1585	225	6	density	density	NOUN
ijassa-1585	225	7	of	of	ADP
ijassa-1585	225	8	the	the	DET
ijassa-1585	225	9	copula	copula	NOUN
ijassa-1585	225	10	using	use	VERB
ijassa-1585	225	11	the	the	DET
ijassa-1585	225	12	following	follow	VERB
ijassa-1585	225	13	algorithm	algorithm	NOUN
ijassa-1585	225	14	:	:	PUNCT
ijassa-1585	225	15	1	1	X
ijassa-1585	225	16	.	.	PUNCT
ijassa-1585	225	17	by	by	ADP
ijassa-1585	225	18	using	use	VERB
ijassa-1585	225	19	the	the	DET
ijassa-1585	225	20	results	result	NOUN
ijassa-1585	225	21	of	of	ADP
ijassa-1585	225	22	steps	step	NOUN
ijassa-1585	225	23	1	1	NUM
ijassa-1585	225	24	and	and	CCONJ
ijassa-1585	225	25	2	2	NUM
ijassa-1585	225	26	from	from	ADP
ijassa-1585	225	27	the	the	DET
ijassa-1585	225	28	previous	previous	ADJ
ijassa-1585	225	29	algorithm	algorithm	NOUN
ijassa-1585	225	30	,	,	PUNCT
ijassa-1585	225	31	we	we	PRON
ijassa-1585	225	32	obtain	obtain	VERB
ijassa-1585	225	33	a	a	DET
ijassa-1585	225	34	set	set	NOUN
ijassa-1585	225	35	of	of	ADP
ijassa-1585	225	36	pairs	pair	NOUN
ijassa-1585	225	37	of	of	ADP
ijassa-1585	225	38	random	random	ADJ
ijassa-1585	225	39	variables	variable	NOUN
ijassa-1585	225	40	(	(	PUNCT
ijassa-1585	225	41	uk	uk	PROPN
ijassa-1585	225	42	1	1	NUM
ijassa-1585	225	43	,	,	PUNCT
ijassa-1585	225	44	u	u	NOUN
ijassa-1585	225	45	k	k	PROPN
ijassa-1585	225	46	2	2	NUM
ijassa-1585	225	47	)	)	PUNCT
ijassa-1585	225	48	,	,	PUNCT
ijassa-1585	225	49	k	k	PROPN
ijassa-1585	226	1	=	=	SYM
ijassa-1585	226	2	1	1	NUM
ijassa-1585	226	3	,	,	PUNCT
ijassa-1585	226	4	...	...	PUNCT
ijassa-1585	226	5	,	,	PUNCT
ijassa-1585	226	6	n	n	NOUN
ijassa-1585	226	7	;	;	PUNCT
ijassa-1585	226	8	2	2	X
ijassa-1585	226	9	.	.	X
ijassa-1585	226	10	we	we	PRON
ijassa-1585	226	11	divide	divide	VERB
ijassa-1585	226	12	the	the	DET
ijassa-1585	226	13	unit	unit	NOUN
ijassa-1585	226	14	square	square	ADJ
ijassa-1585	226	15	into	into	ADP
ijassa-1585	226	16	smaller	small	ADJ
ijassa-1585	226	17	squares	square	NOUN
ijassa-1585	226	18	(	(	PUNCT
ijassa-1585	226	19	grid	grid	NOUN
ijassa-1585	226	20	)	)	PUNCT
ijassa-1585	226	21	with	with	ADP
ijassa-1585	226	22	sides	side	NOUN
ijassa-1585	226	23	of	of	ADP
ijassa-1585	226	24	length	length	NOUN
ijassa-1585	226	25	h	h	NOUN
ijassa-1585	226	26	=	=	NOUN
ijassa-1585	226	27	1	1	NUM
ijassa-1585	226	28	/	/	SYM
ijassa-1585	226	29	m	m	PROPN
ijassa-1585	226	30	,	,	PUNCT
ijassa-1585	226	31	where	where	SCONJ
ijassa-1585	226	32	,	,	PUNCT
ijassa-1585	226	33	for	for	ADP
ijassa-1585	226	34	example	example	NOUN
ijassa-1585	226	35	,	,	PUNCT
ijassa-1585	226	36	m	m	VERB
ijassa-1585	226	37	=	=	ADJ
ijassa-1585	226	38	20	20	NUM
ijassa-1585	226	39	and	and	CCONJ
ijassa-1585	226	40	determine	determine	VERB
ijassa-1585	226	41	the	the	DET
ijassa-1585	226	42	number	number	NOUN
ijassa-1585	226	43	of	of	ADP
ijassa-1585	226	44	points	point	NOUN
ijassa-1585	226	45	(	(	PUNCT
ijassa-1585	226	46	uk	uk	PROPN
ijassa-1585	226	47	1	1	NUM
ijassa-1585	226	48	,	,	PUNCT
ijassa-1585	226	49	u	u	NOUN
ijassa-1585	226	50	k	k	PROPN
ijassa-1585	226	51	2	2	X
ijassa-1585	226	52	)	)	PUNCT
ijassa-1585	226	53	falling	fall	VERB
ijassa-1585	226	54	into	into	ADP
ijassa-1585	226	55	each	each	PRON
ijassa-1585	226	56	of	of	ADP
ijassa-1585	226	57	squares	square	NOUN
ijassa-1585	226	58	whose	whose	DET
ijassa-1585	226	59	vertices	vertex	NOUN
ijassa-1585	226	60	are	be	AUX
ijassa-1585	226	61	the	the	DET
ijassa-1585	226	62	points	point	NOUN
ijassa-1585	226	63	(	(	PUNCT
ijassa-1585	226	64	(	(	PUNCT
ijassa-1585	226	65	i−	i−	PROPN
ijassa-1585	226	66	1)h	1)h	PROPN
ijassa-1585	226	67	,	,	PUNCT
ijassa-1585	226	68	(	(	PUNCT
ijassa-1585	226	69	j	j	PROPN
ijassa-1585	226	70	−	−	PROPN
ijassa-1585	226	71	1)h	1)h	PROPN
ijassa-1585	226	72	)	)	PUNCT
ijassa-1585	226	73	,	,	PUNCT
ijassa-1585	226	74	(	(	PUNCT
ijassa-1585	226	75	ih	ih	NOUN
ijassa-1585	226	76	,	,	PUNCT
ijassa-1585	226	77	(	(	PUNCT
ijassa-1585	226	78	j	j	PROPN
ijassa-1585	226	79	−	−	PROPN
ijassa-1585	226	80	1)h	1)h	PROPN
ijassa-1585	226	81	)	)	PUNCT
ijassa-1585	226	82	,	,	PUNCT
ijassa-1585	226	83	(	(	PUNCT
ijassa-1585	226	84	(	(	PUNCT
ijassa-1585	226	85	i−	i−	PROPN
ijassa-1585	226	86	1)h	1)h	PROPN
ijassa-1585	226	87	,	,	PUNCT
ijassa-1585	226	88	jh	jh	PROPN
ijassa-1585	226	89	)	)	PUNCT
ijassa-1585	226	90	,	,	PUNCT
ijassa-1585	226	91	(	(	PUNCT
ijassa-1585	226	92	ih	ih	X
ijassa-1585	226	93	,	,	PUNCT
ijassa-1585	226	94	jh	jh	PROPN
ijassa-1585	226	95	)	)	PUNCT
ijassa-1585	226	96	,	,	PUNCT
ijassa-1585	226	97	i	i	PRON
ijassa-1585	226	98	,	,	PUNCT
ijassa-1585	226	99	j	j	PROPN
ijassa-1585	226	100	=	=	SYM
ijassa-1585	226	101	1	1	NUM
ijassa-1585	226	102	,	,	PUNCT
ijassa-1585	226	103	...	...	PUNCT
ijassa-1585	226	104	,	,	PUNCT
ijassa-1585	226	105	m	m	PROPN
ijassa-1585	226	106	,	,	PUNCT
ijassa-1585	226	107	and	and	CCONJ
ijassa-1585	226	108	normalize	normalize	VERB
ijassa-1585	226	109	the	the	DET
ijassa-1585	226	110	obtained	obtain	VERB
ijassa-1585	226	111	values	value	NOUN
ijassa-1585	226	112	,	,	PUNCT
ijassa-1585	226	113	i.	i.	PROPN
ijassa-1585	226	114	e.	e.	PROPN
ijassa-1585	226	115	cij	cij	PROPN
ijassa-1585	226	116	=	=	PUNCT
ijassa-1585	226	117	c(ih	c(ih	PROPN
ijassa-1585	226	118	,	,	PUNCT
ijassa-1585	226	119	jh	jh	PROPN
ijassa-1585	226	120	)	)	PUNCT
ijassa-1585	227	1	≈	≈	PROPN
ijassa-1585	227	2	ĉij	ĉij	NOUN
ijassa-1585	227	3	=	=	SYM
ijassa-1585	227	4	1	1	NUM
ijassa-1585	227	5	nh2	nh2	PROPN
ijassa-1585	227	6	n∑	n∑	NOUN
ijassa-1585	227	7	k=1	k=1	PUNCT
ijassa-1585	228	1	1{(i−	1{(i−	NUM
ijassa-1585	228	2	1)h	1)h	NUM
ijassa-1585	228	3	<	<	X
ijassa-1585	228	4	uk	uk	PROPN
ijassa-1585	228	5	1	1	NUM
ijassa-1585	228	6	<	<	X
ijassa-1585	228	7	ih	ih	NOUN
ijassa-1585	228	8	,	,	PUNCT
ijassa-1585	228	9	(	(	PUNCT
ijassa-1585	228	10	j	j	PROPN
ijassa-1585	229	1	−	−	NOUN
ijassa-1585	230	1	1)h	1)h	INTJ
ijassa-1585	230	2	<	<	X
ijassa-1585	230	3	uk	uk	PROPN
ijassa-1585	230	4	2	2	NUM
ijassa-1585	230	5	<	<	X
ijassa-1585	230	6	jh	jh	PROPN
ijassa-1585	230	7	}	}	PUNCT
ijassa-1585	230	8	.	.	PUNCT
ijassa-1585	231	1	a	a	DET
ijassa-1585	231	2	)	)	PUNCT
ijassa-1585	231	3	b	b	NOUN
ijassa-1585	231	4	)	)	PUNCT
ijassa-1585	231	5	fig	fig	NOUN
ijassa-1585	231	6	.	.	PUNCT
ijassa-1585	232	1	5.7	5.7	NUM
ijassa-1585	232	2	.	.	PUNCT
ijassa-1585	233	1	a	a	X
ijassa-1585	233	2	)	)	PUNCT
ijassa-1585	233	3	empirical	empirical	ADJ
ijassa-1585	233	4	copula	copula	NOUN
ijassa-1585	233	5	ĉ(u1	ĉ(u1	NOUN
ijassa-1585	233	6	,	,	PUNCT
ijassa-1585	233	7	u2	u2	NOUN
ijassa-1585	233	8	)	)	PUNCT
ijassa-1585	233	9	,	,	PUNCT
ijassa-1585	233	10	ρ	ρ	PROPN
ijassa-1585	233	11	=	=	SYM
ijassa-1585	233	12	0.9	0.9	NUM
ijassa-1585	233	13	;	;	PUNCT
ijassa-1585	233	14	b	b	X
ijassa-1585	233	15	)	)	PUNCT
ijassa-1585	233	16	empirical	empirical	ADJ
ijassa-1585	233	17	copula	copula	NOUN
ijassa-1585	233	18	density	density	NOUN
ijassa-1585	233	19	ĉ(u1	ĉ(u1	ADJ
ijassa-1585	233	20	,	,	PUNCT
ijassa-1585	233	21	u2	u2	NOUN
ijassa-1585	233	22	)	)	PUNCT
ijassa-1585	233	23	,	,	PUNCT
ijassa-1585	233	24	ρ	ρ	PROPN
ijassa-1585	233	25	=	=	SYM
ijassa-1585	233	26	0.9	0.9	NUM
ijassa-1585	233	27	.	.	PUNCT
ijassa-1585	233	28	based	base	VERB
ijassa-1585	233	29	on	on	ADP
ijassa-1585	233	30	the	the	DET
ijassa-1585	233	31	appearance	appearance	NOUN
ijassa-1585	233	32	of	of	ADP
ijassa-1585	233	33	the	the	DET
ijassa-1585	233	34	obtained	obtain	VERB
ijassa-1585	233	35	empirical	empirical	ADJ
ijassa-1585	233	36	functions	function	NOUN
ijassa-1585	233	37	in	in	ADP
ijassa-1585	233	38	figures	figure	NOUN
ijassa-1585	233	39	5.7	5.7	NUM
ijassa-1585	233	40	a	a	NOUN
ijassa-1585	233	41	)	)	PUNCT
ijassa-1585	233	42	and	and	CCONJ
ijassa-1585	233	43	b	b	NOUN
ijassa-1585	233	44	)	)	PUNCT
ijassa-1585	233	45	,	,	PUNCT
ijassa-1585	233	46	and	and	CCONJ
ijassa-1585	233	47	also	also	ADV
ijassa-1585	233	48	taking	take	VERB
ijassa-1585	233	49	into	into	ADP
ijassa-1585	233	50	account	account	NOUN
ijassa-1585	233	51	that	that	SCONJ
ijassa-1585	233	52	the	the	DET
ijassa-1585	233	53	diagonal	diagonal	ADJ
ijassa-1585	233	54	section	section	NOUN
ijassa-1585	233	55	of	of	ADP
ijassa-1585	233	56	the	the	DET
ijassa-1585	233	57	copula	copula	NOUN
ijassa-1585	233	58	under	under	ADP
ijassa-1585	233	59	consideration	consideration	NOUN
ijassa-1585	233	60	was	be	AUX
ijassa-1585	233	61	copyright	copyright	NOUN
ijassa-1585	233	62	©	©	PROPN
ijassa-1585	233	63	2024	2024	NUM
ijassa-1585	233	64	assa	assa	NOUN
ijassa-1585	233	65	.	.	PUNCT
ijassa-1585	234	1	adv	adv	PROPN
ijassa-1585	234	2	syst	syst	PROPN
ijassa-1585	234	3	sci	sci	PROPN
ijassa-1585	234	4	appl	appl	PROPN
ijassa-1585	234	5	(	(	PUNCT
ijassa-1585	234	6	2024	2024	NUM
ijassa-1585	234	7	)	)	PUNCT
ijassa-1585	234	8	12	12	NUM
ijassa-1585	234	9	a.v	a.v	PROPN
ijassa-1585	234	10	.	.	PROPN
ijassa-1585	234	11	gorbunova	gorbunova	PROPN
ijassa-1585	234	12	,	,	PUNCT
ijassa-1585	234	13	a.v	a.v	PROPN
ijassa-1585	234	14	.	.	PROPN
ijassa-1585	234	15	lebedev	lebedev	PROPN
ijassa-1585	234	16	approximated	approximate	VERB
ijassa-1585	234	17	in	in	ADP
ijassa-1585	234	18	section	section	NOUN
ijassa-1585	234	19	4	4	NUM
ijassa-1585	234	20	by	by	ADP
ijassa-1585	234	21	an	an	DET
ijassa-1585	234	22	expression	expression	NOUN
ijassa-1585	234	23	of	of	ADP
ijassa-1585	234	24	the	the	DET
ijassa-1585	234	25	form	form	NOUN
ijassa-1585	234	26	δ(u	δ(u	PROPN
ijassa-1585	234	27	)	)	PUNCT
ijassa-1585	235	1	≈	≈	PROPN
ijassa-1585	235	2	uα	uα	PROPN
ijassa-1585	235	3	,	,	PUNCT
ijassa-1585	235	4	α	α	X
ijassa-1585	235	5	=	=	SYM
ijassa-1585	235	6	2−	2−	NUM
ijassa-1585	235	7	cρ	cρ	INTJ
ijassa-1585	235	8	,	,	PUNCT
ijassa-1585	235	9	(	(	PUNCT
ijassa-1585	235	10	5.16	5.16	NUM
ijassa-1585	235	11	)	)	PUNCT
ijassa-1585	235	12	we	we	PRON
ijassa-1585	235	13	will	will	AUX
ijassa-1585	235	14	approximate	approximate	VERB
ijassa-1585	235	15	the	the	DET
ijassa-1585	235	16	desired	desire	VERB
ijassa-1585	235	17	copula	copula	NOUN
ijassa-1585	235	18	c(u1	c(u1	NOUN
ijassa-1585	235	19	,	,	PUNCT
ijassa-1585	235	20	u2	u2	NOUN
ijassa-1585	235	21	)	)	PUNCT
ijassa-1585	235	22	gumbel	gumbel	PROPN
ijassa-1585	235	23	copula	copula	NOUN
ijassa-1585	235	24	,	,	PUNCT
ijassa-1585	235	25	which	which	PRON
ijassa-1585	235	26	has	have	VERB
ijassa-1585	235	27	the	the	DET
ijassa-1585	235	28	form	form	NOUN
ijassa-1585	235	29	cg(u1	cg(u1	NOUN
ijassa-1585	235	30	,	,	PUNCT
ijassa-1585	235	31	u2	u2	NOUN
ijassa-1585	235	32	)	)	PUNCT
ijassa-1585	235	33	=	=	SYM
ijassa-1585	235	34	exp{−[(−	exp{−[(−	NUM
ijassa-1585	235	35	lnu1	lnu1	NOUN
ijassa-1585	235	36	)	)	PUNCT
ijassa-1585	235	37	θ	θ	PROPN
ijassa-1585	236	1	+	+	PUNCT
ijassa-1585	236	2	(	(	PUNCT
ijassa-1585	236	3	−	−	PROPN
ijassa-1585	236	4	lnu2	lnu2	PROPN
ijassa-1585	236	5	)	)	PUNCT
ijassa-1585	236	6	θ	θ	X
ijassa-1585	236	7	]	]	X
ijassa-1585	236	8	1	1	NUM
ijassa-1585	236	9	θ	θ	NOUN
ijassa-1585	236	10	}	}	PUNCT
ijassa-1585	236	11	,	,	PUNCT
ijassa-1585	236	12	(	(	PUNCT
ijassa-1585	236	13	5.17	5.17	NUM
ijassa-1585	236	14	)	)	PUNCT
ijassa-1585	236	15	where	where	SCONJ
ijassa-1585	236	16	θ	θ	PROPN
ijassa-1585	236	17	∈	∈	PROPN
ijassa-1585	237	1	[	[	X
ijassa-1585	237	2	1,+∞	1,+∞	NUM
ijassa-1585	237	3	)	)	PUNCT
ijassa-1585	237	4	is	be	AUX
ijassa-1585	237	5	the	the	DET
ijassa-1585	237	6	copula	copula	ADJ
ijassa-1585	237	7	parameter	parameter	NOUN
ijassa-1585	237	8	to	to	PART
ijassa-1585	237	9	be	be	AUX
ijassa-1585	237	10	estimated	estimate	VERB
ijassa-1585	237	11	.	.	PUNCT
ijassa-1585	238	1	the	the	DET
ijassa-1585	238	2	density	density	NOUN
ijassa-1585	238	3	of	of	ADP
ijassa-1585	238	4	a	a	DET
ijassa-1585	238	5	gumbel	gumbel	NOUN
ijassa-1585	238	6	copula	copula	NOUN
ijassa-1585	238	7	is	be	AUX
ijassa-1585	238	8	determined	determine	VERB
ijassa-1585	238	9	by	by	ADP
ijassa-1585	238	10	taking	take	VERB
ijassa-1585	238	11	the	the	DET
ijassa-1585	238	12	second	second	ADJ
ijassa-1585	238	13	-	-	PUNCT
ijassa-1585	238	14	order	order	NOUN
ijassa-1585	238	15	mixed	mixed	ADJ
ijassa-1585	238	16	partial	partial	ADJ
ijassa-1585	238	17	derivative	derivative	NOUN
ijassa-1585	238	18	of	of	ADP
ijassa-1585	238	19	the	the	DET
ijassa-1585	238	20	copula	copula	NOUN
ijassa-1585	238	21	function	function	NOUN
ijassa-1585	238	22	(	(	PUNCT
ijassa-1585	238	23	5.17	5.17	NUM
ijassa-1585	238	24	)	)	PUNCT
ijassa-1585	238	25	cg(u1	cg(u1	NOUN
ijassa-1585	238	26	,	,	PUNCT
ijassa-1585	238	27	u2	u2	NOUN
ijassa-1585	238	28	)	)	PUNCT
ijassa-1585	238	29	=	=	SYM
ijassa-1585	238	30	∂2cg(u1	∂2cg(u1	NOUN
ijassa-1585	238	31	,	,	PUNCT
ijassa-1585	238	32	u2	u2	NOUN
ijassa-1585	238	33	)	)	PUNCT
ijassa-1585	238	34	∂u1∂u2	∂u1∂u2	NOUN
ijassa-1585	239	1	=	=	NOUN
ijassa-1585	239	2	=	=	SYM
ijassa-1585	239	3	cg(u1	cg(u1	NOUN
ijassa-1585	239	4	,	,	PUNCT
ijassa-1585	239	5	u2)(−	u2)(−	ADJ
ijassa-1585	239	6	lnu1	lnu1	PROPN
ijassa-1585	239	7	)	)	PUNCT
ijassa-1585	239	8	θ(−	θ(−	VERB
ijassa-1585	239	9	lnu2	lnu2	PROPN
ijassa-1585	239	10	)	)	PUNCT
ijassa-1585	240	1	θ[θ	θ[θ	PROPN
ijassa-1585	241	1	+	+	PUNCT
ijassa-1585	242	1	[	[	X
ijassa-1585	242	2	(	(	PUNCT
ijassa-1585	242	3	−	−	PROPN
ijassa-1585	242	4	lnu1	lnu1	PROPN
ijassa-1585	242	5	)	)	PUNCT
ijassa-1585	243	1	θ	θ	PROPN
ijassa-1585	244	1	+	+	PUNCT
ijassa-1585	244	2	(	(	PUNCT
ijassa-1585	244	3	−	−	PROPN
ijassa-1585	244	4	lnu2	lnu2	PROPN
ijassa-1585	244	5	)	)	PUNCT
ijassa-1585	244	6	θ	θ	X
ijassa-1585	244	7	]	]	X
ijassa-1585	244	8	1	1	NUM
ijassa-1585	244	9	θ	θ	NOUN
ijassa-1585	244	10	−	−	PROPN
ijassa-1585	244	11	1	1	NUM
ijassa-1585	244	12	]	]	SYM
ijassa-1585	244	13	u1u2	u1u2	VERB
ijassa-1585	244	14	lnu1	lnu1	NOUN
ijassa-1585	244	15	lnu2[(−	lnu2[(−	PROPN
ijassa-1585	244	16	lnu1)θ	lnu1)θ	NOUN
ijassa-1585	244	17	+	+	CCONJ
ijassa-1585	244	18	(	(	PUNCT
ijassa-1585	244	19	−	−	PROPN
ijassa-1585	244	20	lnu2)θ	lnu2)θ	PROPN
ijassa-1585	244	21	]	]	X
ijassa-1585	244	22	2θ−1	2θ−1	NUM
ijassa-1585	244	23	θ	θ	NOUN
ijassa-1585	244	24	.	.	PUNCT
ijassa-1585	245	1	(	(	PUNCT
ijassa-1585	245	2	5.18	5.18	NUM
ijassa-1585	245	3	)	)	PUNCT
ijassa-1585	245	4	since	since	SCONJ
ijassa-1585	245	5	for	for	ADP
ijassa-1585	245	6	the	the	DET
ijassa-1585	245	7	gumbel	gumbel	PROPN
ijassa-1585	245	8	copula	copula	NOUN
ijassa-1585	245	9	the	the	DET
ijassa-1585	245	10	diagonal	diagonal	ADJ
ijassa-1585	245	11	section	section	NOUN
ijassa-1585	245	12	has	have	VERB
ijassa-1585	245	13	the	the	DET
ijassa-1585	245	14	following	follow	VERB
ijassa-1585	245	15	form	form	NOUN
ijassa-1585	245	16	δg(u	δg(u	NUM
ijassa-1585	245	17	)	)	PUNCT
ijassa-1585	245	18	=	=	NOUN
ijassa-1585	245	19	cg(u	cg(u	X
ijassa-1585	245	20	,	,	PUNCT
ijassa-1585	245	21	u	u	NOUN
ijassa-1585	245	22	)	)	PUNCT
ijassa-1585	245	23	=	=	SYM
ijassa-1585	245	24	u2	u2	PROPN
ijassa-1585	245	25	1	1	NUM
ijassa-1585	245	26	/	/	SYM
ijassa-1585	245	27	θ	θ	NOUN
ijassa-1585	245	28	,	,	PUNCT
ijassa-1585	245	29	taking	take	VERB
ijassa-1585	245	30	into	into	ADP
ijassa-1585	245	31	account	account	NOUN
ijassa-1585	245	32	(	(	PUNCT
ijassa-1585	245	33	5.16	5.16	NUM
ijassa-1585	245	34	)	)	PUNCT
ijassa-1585	245	35	we	we	PRON
ijassa-1585	245	36	obtain	obtain	VERB
ijassa-1585	245	37	that	that	PRON
ijassa-1585	246	1	θ	θ	PROPN
ijassa-1585	247	1	≈	≈	PROPN
ijassa-1585	247	2	ln	ln	ADJ
ijassa-1585	247	3	2	2	NUM
ijassa-1585	247	4	lnα	lnα	NOUN
ijassa-1585	247	5	=	=	SYM
ijassa-1585	247	6	ln	ln	NOUN
ijassa-1585	247	7	2	2	NUM
ijassa-1585	247	8	ln(2−	ln(2−	NOUN
ijassa-1585	247	9	cρ	cρ	PROPN
ijassa-1585	247	10	)	)	PUNCT
ijassa-1585	247	11	.	.	PUNCT
ijassa-1585	248	1	(	(	PUNCT
ijassa-1585	248	2	5.19	5.19	NUM
ijassa-1585	248	3	)	)	PUNCT
ijassa-1585	248	4	next	next	ADV
ijassa-1585	248	5	,	,	PUNCT
ijassa-1585	248	6	we	we	PRON
ijassa-1585	248	7	will	will	AUX
ijassa-1585	248	8	again	again	ADV
ijassa-1585	248	9	use	use	VERB
ijassa-1585	248	10	the	the	DET
ijassa-1585	248	11	nelder	nelder	ADJ
ijassa-1585	248	12	–	–	PUNCT
ijassa-1585	248	13	mead	mead	NOUN
ijassa-1585	248	14	optimization	optimization	NOUN
ijassa-1585	248	15	method	method	NOUN
ijassa-1585	248	16	to	to	PART
ijassa-1585	248	17	minimize	minimize	VERB
ijassa-1585	248	18	the	the	DET
ijassa-1585	248	19	modulus	modulus	NOUN
ijassa-1585	248	20	of	of	ADP
ijassa-1585	248	21	the	the	DET
ijassa-1585	248	22	relative	relative	ADJ
ijassa-1585	248	23	error	error	NOUN
ijassa-1585	248	24	of	of	ADP
ijassa-1585	248	25	approximation	approximation	NOUN
ijassa-1585	248	26	of	of	ADP
ijassa-1585	248	27	the	the	DET
ijassa-1585	248	28	gumbel	gumbel	PROPN
ijassa-1585	248	29	copula	copula	PROPN
ijassa-1585	248	30	function	function	NOUN
ijassa-1585	248	31	(	(	PUNCT
ijassa-1585	248	32	5.17	5.17	NUM
ijassa-1585	248	33	)	)	PUNCT
ijassa-1585	248	34	,	,	PUNCT
ijassa-1585	248	35	taking	take	VERB
ijassa-1585	248	36	into	into	ADP
ijassa-1585	248	37	account	account	NOUN
ijassa-1585	248	38	that	that	SCONJ
ijassa-1585	248	39	the	the	DET
ijassa-1585	248	40	parameter	parameter	NOUN
ijassa-1585	248	41	θ	θ	PROPN
ijassa-1585	248	42	is	be	AUX
ijassa-1585	248	43	determined	determine	VERB
ijassa-1585	248	44	by	by	ADP
ijassa-1585	248	45	the	the	DET
ijassa-1585	248	46	expression	expression	NOUN
ijassa-1585	248	47	(	(	PUNCT
ijassa-1585	248	48	5.19	5.19	NUM
ijassa-1585	248	49	)	)	PUNCT
ijassa-1585	248	50	,	,	PUNCT
ijassa-1585	248	51	when	when	SCONJ
ijassa-1585	248	52	compared	compare	VERB
ijassa-1585	248	53	with	with	ADP
ijassa-1585	248	54	“	"	PUNCT
ijassa-1585	248	55	true	true	ADJ
ijassa-1585	248	56	”	"	PUNCT
ijassa-1585	248	57	values	value	NOUN
ijassa-1585	248	58	of	of	ADP
ijassa-1585	248	59	the	the	DET
ijassa-1585	248	60	gumbel	gumbel	PROPN
ijassa-1585	248	61	copula	copula	PROPN
ijassa-1585	248	62	function	function	NOUN
ijassa-1585	248	63	obtained	obtain	VERB
ijassa-1585	248	64	by	by	ADP
ijassa-1585	248	65	simulation	simulation	NOUN
ijassa-1585	248	66	for	for	ADP
ijassa-1585	248	67	various	various	ADJ
ijassa-1585	248	68	load	load	NOUN
ijassa-1585	248	69	factors	factor	NOUN
ijassa-1585	248	70	ρ	ρ	PROPN
ijassa-1585	248	71	∈	∈	PROPN
ijassa-1585	248	72	{	{	PUNCT
ijassa-1585	248	73	0.10	0.10	NUM
ijassa-1585	248	74	,	,	PUNCT
ijassa-1585	248	75	0.15	0.15	NUM
ijassa-1585	248	76	,	,	PUNCT
ijassa-1585	248	77	0.20	0.20	NUM
ijassa-1585	248	78	,	,	PUNCT
ijassa-1585	248	79	...	...	PUNCT
ijassa-1585	248	80	,	,	PUNCT
ijassa-1585	248	81	0.90	0.90	NUM
ijassa-1585	248	82	}	}	PUNCT
ijassa-1585	248	83	.	.	PUNCT
ijassa-1585	249	1	as	as	ADP
ijassa-1585	249	2	before	before	ADV
ijassa-1585	249	3	,	,	PUNCT
ijassa-1585	249	4	we	we	PRON
ijassa-1585	249	5	will	will	AUX
ijassa-1585	249	6	not	not	PART
ijassa-1585	249	7	consider	consider	VERB
ijassa-1585	249	8	low	low	ADJ
ijassa-1585	249	9	-	-	PUNCT
ijassa-1585	249	10	level	level	NOUN
ijassa-1585	249	11	quantiles	quantile	NOUN
ijassa-1585	249	12	,	,	PUNCT
ijassa-1585	249	13	i.e.	i.e.	X
ijassa-1585	249	14	,	,	PUNCT
ijassa-1585	249	15	let	let	VERB
ijassa-1585	249	16	u1	u1	NOUN
ijassa-1585	249	17	,	,	PUNCT
ijassa-1585	249	18	u2	u2	PROPN
ijassa-1585	249	19	∈	∈	PROPN
ijassa-1585	249	20	{	{	PUNCT
ijassa-1585	249	21	0.20	0.20	NUM
ijassa-1585	249	22	,	,	PUNCT
ijassa-1585	249	23	0.25	0.25	NUM
ijassa-1585	249	24	,	,	PUNCT
ijassa-1585	249	25	...	...	PUNCT
ijassa-1585	249	26	,	,	PUNCT
ijassa-1585	249	27	0.90	0.90	NUM
ijassa-1585	249	28	}	}	PUNCT
ijassa-1585	249	29	.	.	PUNCT
ijassa-1585	250	1	as	as	ADP
ijassa-1585	250	2	a	a	DET
ijassa-1585	250	3	result	result	NOUN
ijassa-1585	250	4	,	,	PUNCT
ijassa-1585	250	5	we	we	PRON
ijassa-1585	250	6	obtain	obtain	VERB
ijassa-1585	250	7	the	the	DET
ijassa-1585	250	8	following	follow	VERB
ijassa-1585	250	9	value	value	NOUN
ijassa-1585	250	10	of	of	ADP
ijassa-1585	250	11	the	the	DET
ijassa-1585	250	12	required	require	VERB
ijassa-1585	250	13	coefficient	coefficient	NOUN
ijassa-1585	250	14	c	c	PROPN
ijassa-1585	250	15	≈	≈	PROPN
ijassa-1585	250	16	0.369250	0.369250	PROPN
ijassa-1585	250	17	,	,	PUNCT
ijassa-1585	250	18	(	(	PUNCT
ijassa-1585	250	19	5.20	5.20	NUM
ijassa-1585	250	20	)	)	PUNCT
ijassa-1585	250	21	therefore	therefore	ADV
ijassa-1585	250	22	c(u1	c(u1	NOUN
ijassa-1585	250	23	,	,	PUNCT
ijassa-1585	250	24	u2	u2	PROPN
ijassa-1585	250	25	)	)	PUNCT
ijassa-1585	250	26	≈	≈	PROPN
ijassa-1585	250	27	exp{−((−	exp{−((−	PROPN
ijassa-1585	250	28	lnu1	lnu1	PROPN
ijassa-1585	250	29	)	)	PUNCT
ijassa-1585	251	1	ln	ln	PROPN
ijassa-1585	251	2	2	2	NUM
ijassa-1585	251	3	ln(2−0.36925ρ	ln(2−0.36925ρ	NOUN
ijassa-1585	251	4	)	)	PUNCT
ijassa-1585	252	1	+	+	CCONJ
ijassa-1585	252	2	(	(	PUNCT
ijassa-1585	252	3	−	−	PROPN
ijassa-1585	252	4	lnu2	lnu2	PROPN
ijassa-1585	252	5	)	)	PUNCT
ijassa-1585	253	1	ln	ln	PROPN
ijassa-1585	253	2	2	2	NUM
ijassa-1585	253	3	ln(2−0.36925ρ	ln(2−0.36925ρ	NOUN
ijassa-1585	253	4	)	)	PUNCT
ijassa-1585	253	5	)	)	PUNCT
ijassa-1585	254	1	ln(2−0.36925ρ	ln(2−0.36925ρ	PROPN
ijassa-1585	254	2	)	)	PUNCT
ijassa-1585	254	3	ln	ln	ADJ
ijassa-1585	254	4	2	2	NUM
ijassa-1585	254	5	}	}	PUNCT
ijassa-1585	254	6	.	.	PUNCT
ijassa-1585	255	1	(	(	PUNCT
ijassa-1585	255	2	5.21	5.21	NUM
ijassa-1585	255	3	)	)	PUNCT
ijassa-1585	255	4	as	as	SCONJ
ijassa-1585	255	5	can	can	AUX
ijassa-1585	255	6	be	be	AUX
ijassa-1585	255	7	seen	see	VERB
ijassa-1585	255	8	,	,	PUNCT
ijassa-1585	255	9	from	from	ADP
ijassa-1585	255	10	(	(	PUNCT
ijassa-1585	255	11	4.11	4.11	NUM
ijassa-1585	255	12	)	)	PUNCT
ijassa-1585	255	13	and	and	CCONJ
ijassa-1585	255	14	(	(	PUNCT
ijassa-1585	255	15	5.20	5.20	NUM
ijassa-1585	255	16	)	)	PUNCT
ijassa-1585	255	17	the	the	DET
ijassa-1585	255	18	coefficient	coefficient	NOUN
ijassa-1585	255	19	values	value	NOUN
ijassa-1585	255	20	are	be	AUX
ijassa-1585	255	21	very	very	ADV
ijassa-1585	255	22	close	close	ADJ
ijassa-1585	255	23	and	and	CCONJ
ijassa-1585	255	24	actually	actually	ADV
ijassa-1585	255	25	agree	agree	VERB
ijassa-1585	255	26	with	with	ADP
ijassa-1585	255	27	each	each	DET
ijassa-1585	255	28	other	other	ADJ
ijassa-1585	255	29	,	,	PUNCT
ijassa-1585	255	30	which	which	PRON
ijassa-1585	255	31	confirms	confirm	VERB
ijassa-1585	255	32	the	the	DET
ijassa-1585	255	33	quality	quality	NOUN
ijassa-1585	255	34	of	of	ADP
ijassa-1585	255	35	the	the	DET
ijassa-1585	255	36	obtained	obtain	VERB
ijassa-1585	255	37	approximations	approximation	NOUN
ijassa-1585	255	38	.	.	PUNCT
ijassa-1585	256	1	as	as	ADP
ijassa-1585	256	2	for	for	ADP
ijassa-1585	256	3	the	the	DET
ijassa-1585	256	4	approximation	approximation	NOUN
ijassa-1585	256	5	error	error	NOUN
ijassa-1585	256	6	of	of	ADP
ijassa-1585	256	7	the	the	DET
ijassa-1585	256	8	formula	formula	NOUN
ijassa-1585	256	9	(	(	PUNCT
ijassa-1585	256	10	5.21	5.21	NUM
ijassa-1585	256	11	)	)	PUNCT
ijassa-1585	256	12	,	,	PUNCT
ijassa-1585	256	13	the	the	DET
ijassa-1585	256	14	table	table	NOUN
ijassa-1585	256	15	5.4	5.4	NUM
ijassa-1585	256	16	presents	present	VERB
ijassa-1585	256	17	the	the	DET
ijassa-1585	256	18	values	value	NOUN
ijassa-1585	256	19	of	of	ADP
ijassa-1585	256	20	the	the	DET
ijassa-1585	256	21	maximum	maximum	ADJ
ijassa-1585	256	22	(	(	PUNCT
ijassa-1585	256	23	max	max	PROPN
ijassa-1585	256	24	ape	ape	NOUN
ijassa-1585	256	25	)	)	PUNCT
ijassa-1585	256	26	,	,	PUNCT
ijassa-1585	256	27	minimum	minimum	NOUN
ijassa-1585	256	28	(	(	PUNCT
ijassa-1585	256	29	min	min	NOUN
ijassa-1585	256	30	ape	ape	NOUN
ijassa-1585	256	31	)	)	PUNCT
ijassa-1585	256	32	and	and	CCONJ
ijassa-1585	256	33	average	average	ADJ
ijassa-1585	256	34	relative	relative	ADJ
ijassa-1585	256	35	approximation	approximation	NOUN
ijassa-1585	256	36	error	error	NOUN
ijassa-1585	256	37	(	(	PUNCT
ijassa-1585	256	38	mape	mape	NOUN
ijassa-1585	256	39	)	)	PUNCT
ijassa-1585	256	40	,	,	PUNCT
ijassa-1585	256	41	the	the	DET
ijassa-1585	256	42	first	first	ADJ
ijassa-1585	256	43	of	of	ADP
ijassa-1585	256	44	which	which	PRON
ijassa-1585	256	45	does	do	AUX
ijassa-1585	256	46	not	not	PART
ijassa-1585	256	47	exceed	exceed	VERB
ijassa-1585	256	48	5	5	NUM
ijassa-1585	256	49	%	%	NOUN
ijassa-1585	256	50	,	,	PUNCT
ijassa-1585	256	51	on	on	ADP
ijassa-1585	256	52	a	a	DET
ijassa-1585	256	53	data	datum	NOUN
ijassa-1585	256	54	set	set	VERB
ijassa-1585	256	55	of	of	ADP
ijassa-1585	256	56	4913	4913	NUM
ijassa-1585	256	57	triples	triple	NOUN
ijassa-1585	256	58	(	(	PUNCT
ijassa-1585	256	59	ρ	ρ	NOUN
ijassa-1585	256	60	,	,	PUNCT
ijassa-1585	256	61	u1	u1	NOUN
ijassa-1585	256	62	,	,	PUNCT
ijassa-1585	256	63	u2	u2	PROPN
ijassa-1585	256	64	)	)	PUNCT
ijassa-1585	256	65	.	.	PUNCT
ijassa-1585	257	1	figure	figure	VERB
ijassa-1585	257	2	5.8	5.8	NUM
ijassa-1585	257	3	a	a	NOUN
ijassa-1585	257	4	)	)	PUNCT
ijassa-1585	257	5	also	also	ADV
ijassa-1585	257	6	shows	show	VERB
ijassa-1585	257	7	graphs	graph	NOUN
ijassa-1585	257	8	of	of	ADP
ijassa-1585	257	9	the	the	DET
ijassa-1585	257	10	empirical	empirical	ADJ
ijassa-1585	257	11	copula	copula	NOUN
ijassa-1585	257	12	function	function	NOUN
ijassa-1585	257	13	and	and	CCONJ
ijassa-1585	257	14	the	the	DET
ijassa-1585	257	15	copula	copula	NOUN
ijassa-1585	257	16	defined	define	VERB
ijassa-1585	257	17	by	by	ADP
ijassa-1585	257	18	the	the	DET
ijassa-1585	257	19	expression	expression	NOUN
ijassa-1585	257	20	(	(	PUNCT
ijassa-1585	257	21	5.21	5.21	NUM
ijassa-1585	257	22	)	)	PUNCT
ijassa-1585	257	23	on	on	ADP
ijassa-1585	257	24	a	a	DET
ijassa-1585	257	25	given	give	VERB
ijassa-1585	257	26	range	range	NOUN
ijassa-1585	257	27	of	of	ADP
ijassa-1585	257	28	values	value	NOUN
ijassa-1585	257	29	0.2	0.2	NUM
ijassa-1585	257	30	⩽	⩽	ADJ
ijassa-1585	257	31	u1	u1	NOUN
ijassa-1585	257	32	,	,	PUNCT
ijassa-1585	257	33	u2	u2	PROPN
ijassa-1585	257	34	⩽	⩽	PROPN
ijassa-1585	257	35	0.9	0.9	NUM
ijassa-1585	257	36	.	.	PUNCT
ijassa-1585	257	37	table	table	NOUN
ijassa-1585	257	38	5.4	5.4	NUM
ijassa-1585	257	39	.	.	PUNCT
ijassa-1585	258	1	errors	error	NOUN
ijassa-1585	258	2	in	in	ADP
ijassa-1585	258	3	approximation	approximation	NOUN
ijassa-1585	258	4	of	of	ADP
ijassa-1585	258	5	the	the	DET
ijassa-1585	258	6	gumbel	gumbel	PROPN
ijassa-1585	258	7	copula	copula	PROPN
ijassa-1585	258	8	function	function	NOUN
ijassa-1585	258	9	c(u1	c(u1	NOUN
ijassa-1585	258	10	,	,	PUNCT
ijassa-1585	258	11	u2	u2	PROPN
ijassa-1585	258	12	)	)	PUNCT
ijassa-1585	258	13	by	by	ADP
ijassa-1585	258	14	the	the	DET
ijassa-1585	258	15	formula	formula	NOUN
ijassa-1585	258	16	(	(	PUNCT
ijassa-1585	258	17	5.21	5.21	NUM
ijassa-1585	258	18	)	)	PUNCT
ijassa-1585	258	19	and	and	CCONJ
ijassa-1585	258	20	the	the	DET
ijassa-1585	258	21	gumbel	gumbel	PROPN
ijassa-1585	258	22	copula	copula	NOUN
ijassa-1585	258	23	density	density	NOUN
ijassa-1585	258	24	by	by	ADP
ijassa-1585	258	25	the	the	DET
ijassa-1585	258	26	formula	formula	NOUN
ijassa-1585	258	27	(	(	PUNCT
ijassa-1585	258	28	5.18	5.18	NUM
ijassa-1585	258	29	)	)	PUNCT
ijassa-1585	258	30	evaluated	evaluate	VERB
ijassa-1585	258	31	types	type	NOUN
ijassa-1585	258	32	of	of	ADP
ijassa-1585	258	33	errors	error	NOUN
ijassa-1585	258	34	characteristic	characteristic	ADJ
ijassa-1585	258	35	max	max	PROPN
ijassa-1585	258	36	ape	ape	NOUN
ijassa-1585	258	37	,	,	PUNCT
ijassa-1585	258	38	%	%	NOUN
ijassa-1585	258	39	min	min	NOUN
ijassa-1585	258	40	ape	ape	NOUN
ijassa-1585	258	41	,	,	PUNCT
ijassa-1585	258	42	%	%	NOUN
ijassa-1585	258	43	mape	mape	NOUN
ijassa-1585	258	44	,	,	PUNCT
ijassa-1585	258	45	%	%	NOUN
ijassa-1585	258	46	c(u1	c(u1	NOUN
ijassa-1585	258	47	,	,	PUNCT
ijassa-1585	258	48	u2	u2	PROPN
ijassa-1585	258	49	)	)	PUNCT
ijassa-1585	258	50	4.966424	4.966424	NUM
ijassa-1585	258	51	0.000000	0.000000	NUM
ijassa-1585	258	52	0.411003	0.411003	NUM
ijassa-1585	258	53	c(u1	c(u1	NOUN
ijassa-1585	258	54	,	,	PUNCT
ijassa-1585	258	55	u2	u2	PROPN
ijassa-1585	258	56	)	)	PUNCT
ijassa-1585	258	57	11.164042	11.164042	NUM
ijassa-1585	258	58	0.000805	0.000805	NUM
ijassa-1585	258	59	1.634484	1.634484	NUM
ijassa-1585	258	60	copyright	copyright	NOUN
ijassa-1585	258	61	©	©	PROPN
ijassa-1585	258	62	2024	2024	NUM
ijassa-1585	258	63	assa	assa	NOUN
ijassa-1585	258	64	.	.	PUNCT
ijassa-1585	259	1	adv	adv	PROPN
ijassa-1585	259	2	syst	syst	PROPN
ijassa-1585	259	3	sci	sci	PROPN
ijassa-1585	259	4	appl	appl	PROPN
ijassa-1585	259	5	(	(	PUNCT
ijassa-1585	259	6	2024	2024	NUM
ijassa-1585	259	7	)	)	PUNCT
ijassa-1585	259	8	assa	assa	NOUN
ijassa-1585	259	9	latex	latex	NOUN
ijassa-1585	259	10	template	template	NOUN
ijassa-1585	259	11	13	13	NUM
ijassa-1585	259	12	a	a	NOUN
ijassa-1585	259	13	)	)	PUNCT
ijassa-1585	259	14	b	b	NOUN
ijassa-1585	259	15	)	)	PUNCT
ijassa-1585	259	16	fig	fig	NOUN
ijassa-1585	259	17	.	.	PUNCT
ijassa-1585	260	1	5.8	5.8	NUM
ijassa-1585	260	2	.	.	PUNCT
ijassa-1585	260	3	comparison	comparison	NOUN
ijassa-1585	260	4	of	of	ADP
ijassa-1585	260	5	empirical	empirical	ADJ
ijassa-1585	260	6	and	and	CCONJ
ijassa-1585	260	7	analytical	analytical	ADJ
ijassa-1585	260	8	values	value	NOUN
ijassa-1585	260	9	at	at	ADP
ijassa-1585	260	10	ρ	ρ	PROPN
ijassa-1585	260	11	=	=	SYM
ijassa-1585	260	12	0.9	0.9	NUM
ijassa-1585	260	13	for	for	ADP
ijassa-1585	260	14	:	:	PUNCT
ijassa-1585	260	15	a	a	X
ijassa-1585	260	16	)	)	PUNCT
ijassa-1585	260	17	copula	copula	NOUN
ijassa-1585	260	18	function	function	NOUN
ijassa-1585	260	19	c(u1	c(u1	NOUN
ijassa-1585	260	20	,	,	PUNCT
ijassa-1585	260	21	u2	u2	PROPN
ijassa-1585	260	22	)	)	PUNCT
ijassa-1585	260	23	(	(	PUNCT
ijassa-1585	260	24	formula	formula	NOUN
ijassa-1585	260	25	(	(	PUNCT
ijassa-1585	260	26	5.21	5.21	NUM
ijassa-1585	260	27	)	)	PUNCT
ijassa-1585	260	28	)	)	PUNCT
ijassa-1585	260	29	;	;	PUNCT
ijassa-1585	260	30	b	b	X
ijassa-1585	260	31	)	)	PUNCT
ijassa-1585	260	32	copula	copula	NOUN
ijassa-1585	260	33	distribution	distribution	NOUN
ijassa-1585	260	34	density	density	NOUN
ijassa-1585	260	35	c(u1	c(u1	NOUN
ijassa-1585	260	36	,	,	PUNCT
ijassa-1585	260	37	u2	u2	PROPN
ijassa-1585	260	38	)	)	PUNCT
ijassa-1585	260	39	(	(	PUNCT
ijassa-1585	260	40	formula	formula	NOUN
ijassa-1585	260	41	(	(	PUNCT
ijassa-1585	260	42	5.18	5.18	NUM
ijassa-1585	260	43	)	)	PUNCT
ijassa-1585	260	44	)	)	PUNCT
ijassa-1585	260	45	.	.	PUNCT
ijassa-1585	261	1	note	note	VERB
ijassa-1585	261	2	also	also	ADV
ijassa-1585	261	3	that	that	SCONJ
ijassa-1585	261	4	if	if	SCONJ
ijassa-1585	261	5	we	we	PRON
ijassa-1585	261	6	estimate	estimate	VERB
ijassa-1585	261	7	the	the	DET
ijassa-1585	261	8	parameter	parameter	NOUN
ijassa-1585	261	9	θ	θ	PROPN
ijassa-1585	261	10	using	use	VERB
ijassa-1585	261	11	the	the	DET
ijassa-1585	261	12	classical	classical	ADJ
ijassa-1585	261	13	maximum	maximum	ADJ
ijassa-1585	261	14	likelihood	likelihood	NOUN
ijassa-1585	261	15	method	method	NOUN
ijassa-1585	261	16	(	(	PUNCT
ijassa-1585	261	17	the	the	DET
ijassa-1585	261	18	corresponding	correspond	VERB
ijassa-1585	261	19	python	python	NOUN
ijassa-1585	261	20	function	function	NOUN
ijassa-1585	261	21	for	for	ADP
ijassa-1585	261	22	the	the	DET
ijassa-1585	261	23	gumbel	gumbel	PROPN
ijassa-1585	261	24	copula	copula	NOUN
ijassa-1585	261	25	)	)	PUNCT
ijassa-1585	261	26	,	,	PUNCT
ijassa-1585	261	27	then	then	ADV
ijassa-1585	261	28	the	the	DET
ijassa-1585	261	29	resulting	result	VERB
ijassa-1585	261	30	values	value	NOUN
ijassa-1585	261	31	,	,	PUNCT
ijassa-1585	261	32	the	the	DET
ijassa-1585	261	33	number	number	NOUN
ijassa-1585	261	34	of	of	ADP
ijassa-1585	261	35	which	which	PRON
ijassa-1585	261	36	in	in	ADP
ijassa-1585	261	37	this	this	DET
ijassa-1585	261	38	case	case	NOUN
ijassa-1585	261	39	will	will	AUX
ijassa-1585	261	40	correspond	correspond	VERB
ijassa-1585	261	41	to	to	ADP
ijassa-1585	261	42	the	the	DET
ijassa-1585	261	43	number	number	NOUN
ijassa-1585	261	44	of	of	ADP
ijassa-1585	261	45	values	value	NOUN
ijassa-1585	261	46	of	of	ADP
ijassa-1585	261	47	the	the	DET
ijassa-1585	261	48	correlation	correlation	NOUN
ijassa-1585	261	49	coefficient	coefficient	NOUN
ijassa-1585	261	50	ρ	ρ	PROPN
ijassa-1585	261	51	∈	∈	PROPN
ijassa-1585	262	1	[	[	X
ijassa-1585	262	2	0.1	0.1	NUM
ijassa-1585	262	3	,	,	PUNCT
ijassa-1585	262	4	0.9	0.9	NUM
ijassa-1585	262	5	]	]	PUNCT
ijassa-1585	262	6	with	with	ADP
ijassa-1585	262	7	a	a	DET
ijassa-1585	262	8	step	step	NOUN
ijassa-1585	262	9	of	of	ADP
ijassa-1585	262	10	0.05	0.05	NUM
ijassa-1585	262	11	(	(	PUNCT
ijassa-1585	262	12	i.	i.	PROPN
ijassa-1585	262	13	e.	e.	PROPN
ijassa-1585	262	14	there	there	PRON
ijassa-1585	262	15	will	will	AUX
ijassa-1585	262	16	be	be	AUX
ijassa-1585	262	17	only	only	ADV
ijassa-1585	262	18	17	17	NUM
ijassa-1585	262	19	of	of	ADP
ijassa-1585	262	20	them	they	PRON
ijassa-1585	262	21	)	)	PUNCT
ijassa-1585	262	22	on	on	ADP
ijassa-1585	262	23	the	the	DET
ijassa-1585	262	24	same	same	ADJ
ijassa-1585	262	25	4913	4913	NUM
ijassa-1585	262	26	triples	triple	NOUN
ijassa-1585	262	27	of	of	ADP
ijassa-1585	262	28	values	value	NOUN
ijassa-1585	262	29	(	(	PUNCT
ijassa-1585	262	30	ρ	ρ	NOUN
ijassa-1585	262	31	,	,	PUNCT
ijassa-1585	262	32	u1	u1	NOUN
ijassa-1585	262	33	,	,	PUNCT
ijassa-1585	262	34	u2	u2	PROPN
ijassa-1585	262	35	)	)	PUNCT
ijassa-1585	262	36	the	the	DET
ijassa-1585	262	37	gumbel	gumbel	PROPN
ijassa-1585	262	38	copula	copula	PROPN
ijassa-1585	262	39	approximation	approximation	NOUN
ijassa-1585	262	40	shows	show	VERB
ijassa-1585	262	41	large	large	ADJ
ijassa-1585	262	42	errors	error	NOUN
ijassa-1585	262	43	.	.	PUNCT
ijassa-1585	263	1	in	in	ADP
ijassa-1585	263	2	this	this	DET
ijassa-1585	263	3	case	case	NOUN
ijassa-1585	263	4	,	,	PUNCT
ijassa-1585	263	5	max	max	PROPN
ijassa-1585	263	6	ape	ape	NOUN
ijassa-1585	263	7	≈	≈	PROPN
ijassa-1585	263	8	12.385819	12.385819	NUM
ijassa-1585	263	9	%	%	NOUN
ijassa-1585	263	10	,	,	PUNCT
ijassa-1585	263	11	min	min	NOUN
ijassa-1585	263	12	ape	ape	NOUN
ijassa-1585	263	13	≈	≈	PROPN
ijassa-1585	263	14	0.000000	0.000000	NUM
ijassa-1585	263	15	%	%	NOUN
ijassa-1585	263	16	and	and	CCONJ
ijassa-1585	263	17	mape	mape	NOUN
ijassa-1585	263	18	≈	≈	PROPN
ijassa-1585	263	19	1.037800	1.037800	NUM
ijassa-1585	263	20	%	%	NOUN
ijassa-1585	263	21	.	.	PUNCT
ijassa-1585	264	1	as	as	ADP
ijassa-1585	264	2	for	for	ADP
ijassa-1585	264	3	the	the	DET
ijassa-1585	264	4	copula	copula	ADJ
ijassa-1585	264	5	density	density	NOUN
ijassa-1585	264	6	(	(	PUNCT
ijassa-1585	264	7	5.18	5.18	NUM
ijassa-1585	264	8	)	)	PUNCT
ijassa-1585	264	9	,	,	PUNCT
ijassa-1585	264	10	here	here	ADV
ijassa-1585	264	11	the	the	DET
ijassa-1585	264	12	result	result	NOUN
ijassa-1585	264	13	of	of	ADP
ijassa-1585	264	14	comparison	comparison	NOUN
ijassa-1585	264	15	with	with	ADP
ijassa-1585	264	16	empirical	empirical	ADJ
ijassa-1585	264	17	data	datum	NOUN
ijassa-1585	264	18	(	(	PUNCT
ijassa-1585	264	19	simulation	simulation	NOUN
ijassa-1585	264	20	modeling	model	VERB
ijassa-1585	264	21	data	data	PROPN
ijassa-1585	264	22	)	)	PUNCT
ijassa-1585	264	23	is	be	AUX
ijassa-1585	264	24	somewhat	somewhat	ADV
ijassa-1585	264	25	worse	bad	ADJ
ijassa-1585	264	26	,	,	PUNCT
ijassa-1585	264	27	but	but	CCONJ
ijassa-1585	264	28	remains	remain	VERB
ijassa-1585	264	29	acceptable	acceptable	ADJ
ijassa-1585	264	30	.	.	PUNCT
ijassa-1585	265	1	table	table	NOUN
ijassa-1585	265	2	5.4	5.4	NUM
ijassa-1585	265	3	presents	present	VERB
ijassa-1585	265	4	the	the	DET
ijassa-1585	265	5	values	value	NOUN
ijassa-1585	265	6	of	of	ADP
ijassa-1585	265	7	relative	relative	ADJ
ijassa-1585	265	8	approximation	approximation	NOUN
ijassa-1585	265	9	errors	error	NOUN
ijassa-1585	265	10	for	for	ADP
ijassa-1585	265	11	ρ	ρ	PROPN
ijassa-1585	265	12	∈	∈	PROPN
ijassa-1585	265	13	{	{	PUNCT
ijassa-1585	265	14	0.10	0.10	NUM
ijassa-1585	265	15	,	,	PUNCT
ijassa-1585	265	16	0.15	0.15	NUM
ijassa-1585	265	17	,	,	PUNCT
ijassa-1585	265	18	0.20	0.20	NUM
ijassa-1585	265	19	,	,	PUNCT
ijassa-1585	265	20	...	...	PUNCT
ijassa-1585	265	21	,	,	PUNCT
ijassa-1585	265	22	0.90	0.90	NUM
ijassa-1585	265	23	}	}	PUNCT
ijassa-1585	265	24	,	,	PUNCT
ijassa-1585	265	25	u1	u1	NOUN
ijassa-1585	265	26	,	,	PUNCT
ijassa-1585	265	27	u2	u2	PROPN
ijassa-1585	265	28	∈	∈	PROPN
ijassa-1585	265	29	{	{	PUNCT
ijassa-1585	265	30	0.225	0.225	NUM
ijassa-1585	265	31	,	,	PUNCT
ijassa-1585	265	32	0.250	0.250	NUM
ijassa-1585	265	33	,	,	PUNCT
ijassa-1585	265	34	...	...	PUNCT
ijassa-1585	265	35	,	,	PUNCT
ijassa-1585	265	36	0.875	0.875	NUM
ijassa-1585	265	37	}	}	PUNCT
ijassa-1585	265	38	,	,	PUNCT
ijassa-1585	265	39	i.	i.	PROPN
ijassa-1585	265	40	e.	e.	PROPN
ijassa-1585	266	1	the	the	DET
ijassa-1585	266	2	total	total	ADJ
ijassa-1585	266	3	number	number	NOUN
ijassa-1585	266	4	of	of	ADP
ijassa-1585	266	5	triplets	triplet	NOUN
ijassa-1585	266	6	(	(	PUNCT
ijassa-1585	266	7	ρ	ρ	NOUN
ijassa-1585	266	8	,	,	PUNCT
ijassa-1585	266	9	u1	u1	NOUN
ijassa-1585	266	10	,	,	PUNCT
ijassa-1585	266	11	u2	u2	PROPN
ijassa-1585	266	12	)	)	PUNCT
ijassa-1585	266	13	for	for	ADP
ijassa-1585	266	14	which	which	PRON
ijassa-1585	266	15	the	the	DET
ijassa-1585	266	16	calculation	calculation	NOUN
ijassa-1585	266	17	was	be	AUX
ijassa-1585	266	18	carried	carry	VERB
ijassa-1585	266	19	out	out	ADP
ijassa-1585	266	20	is	be	AUX
ijassa-1585	266	21	3332	3332	NUM
ijassa-1585	266	22	.	.	PUNCT
ijassa-1585	267	1	some	some	DET
ijassa-1585	267	2	narrowing	narrowing	NOUN
ijassa-1585	267	3	of	of	ADP
ijassa-1585	267	4	the	the	DET
ijassa-1585	267	5	range	range	NOUN
ijassa-1585	267	6	of	of	ADP
ijassa-1585	267	7	values	value	NOUN
ijassa-1585	267	8	u1	u1	NOUN
ijassa-1585	267	9	,	,	PUNCT
ijassa-1585	267	10	u2	u2	PROPN
ijassa-1585	267	11	is	be	AUX
ijassa-1585	267	12	explained	explain	VERB
ijassa-1585	267	13	by	by	ADP
ijassa-1585	267	14	the	the	DET
ijassa-1585	267	15	peculiarities	peculiarity	NOUN
ijassa-1585	267	16	of	of	ADP
ijassa-1585	267	17	the	the	DET
ijassa-1585	267	18	calculation	calculation	NOUN
ijassa-1585	267	19	of	of	ADP
ijassa-1585	267	20	the	the	DET
ijassa-1585	267	21	empirical	empirical	ADJ
ijassa-1585	267	22	density	density	NOUN
ijassa-1585	267	23	of	of	ADP
ijassa-1585	267	24	the	the	DET
ijassa-1585	267	25	copula	copula	NOUN
ijassa-1585	267	26	in	in	ADP
ijassa-1585	267	27	this	this	DET
ijassa-1585	267	28	particular	particular	ADJ
ijassa-1585	267	29	case	case	NOUN
ijassa-1585	267	30	.	.	PUNCT
ijassa-1585	268	1	moreover	moreover	ADV
ijassa-1585	268	2	,	,	PUNCT
ijassa-1585	268	3	despite	despite	SCONJ
ijassa-1585	268	4	the	the	DET
ijassa-1585	268	5	fact	fact	NOUN
ijassa-1585	268	6	that	that	SCONJ
ijassa-1585	268	7	the	the	DET
ijassa-1585	268	8	maximum	maximum	ADJ
ijassa-1585	268	9	relative	relative	ADJ
ijassa-1585	268	10	error	error	NOUN
ijassa-1585	268	11	is	be	AUX
ijassa-1585	268	12	about	about	ADV
ijassa-1585	268	13	11	11	NUM
ijassa-1585	268	14	%	%	NOUN
ijassa-1585	268	15	,	,	PUNCT
ijassa-1585	268	16	in	in	ADP
ijassa-1585	268	17	the	the	DET
ijassa-1585	268	18	total	total	ADJ
ijassa-1585	268	19	set	set	NOUN
ijassa-1585	268	20	of	of	ADP
ijassa-1585	268	21	values	value	NOUN
ijassa-1585	268	22	considered	consider	VERB
ijassa-1585	268	23	,	,	PUNCT
ijassa-1585	268	24	the	the	DET
ijassa-1585	268	25	number	number	NOUN
ijassa-1585	268	26	of	of	ADP
ijassa-1585	268	27	relative	relative	ADJ
ijassa-1585	268	28	errors	error	NOUN
ijassa-1585	268	29	exceeding	exceed	VERB
ijassa-1585	268	30	the	the	DET
ijassa-1585	268	31	threshold	threshold	NOUN
ijassa-1585	268	32	of	of	ADP
ijassa-1585	268	33	10	10	NUM
ijassa-1585	268	34	%	%	NOUN
ijassa-1585	268	35	is	be	AUX
ijassa-1585	268	36	only	only	ADV
ijassa-1585	268	37	2	2	NUM
ijassa-1585	268	38	.	.	PUNCT
ijassa-1585	269	1	the	the	DET
ijassa-1585	269	2	number	number	NOUN
ijassa-1585	269	3	of	of	ADP
ijassa-1585	269	4	approximation	approximation	NOUN
ijassa-1585	269	5	errors	error	NOUN
ijassa-1585	269	6	exceeding	exceed	VERB
ijassa-1585	269	7	5	5	NUM
ijassa-1585	269	8	%	%	NOUN
ijassa-1585	269	9	is	be	AUX
ijassa-1585	269	10	only	only	ADV
ijassa-1585	269	11	approximately	approximately	ADV
ijassa-1585	269	12	1.95	1.95	NUM
ijassa-1585	269	13	%	%	NOUN
ijassa-1585	269	14	of	of	ADP
ijassa-1585	269	15	the	the	DET
ijassa-1585	269	16	total	total	ADJ
ijassa-1585	269	17	amount	amount	NOUN
ijassa-1585	269	18	of	of	ADP
ijassa-1585	269	19	data	datum	NOUN
ijassa-1585	269	20	,	,	PUNCT
ijassa-1585	269	21	which	which	PRON
ijassa-1585	269	22	is	be	AUX
ijassa-1585	269	23	confirmed	confirm	VERB
ijassa-1585	269	24	by	by	ADP
ijassa-1585	269	25	the	the	DET
ijassa-1585	269	26	mape	mape	NOUN
ijassa-1585	269	27	indicator	indicator	NOUN
ijassa-1585	269	28	,	,	PUNCT
ijassa-1585	269	29	which	which	PRON
ijassa-1585	269	30	is	be	AUX
ijassa-1585	269	31	approximately	approximately	ADV
ijassa-1585	269	32	equal	equal	ADJ
ijassa-1585	269	33	to	to	ADP
ijassa-1585	269	34	1.63	1.63	NUM
ijassa-1585	269	35	%	%	NOUN
ijassa-1585	269	36	.	.	PUNCT
ijassa-1585	270	1	note	note	VERB
ijassa-1585	270	2	that	that	SCONJ
ijassa-1585	270	3	the	the	DET
ijassa-1585	270	4	error	error	NOUN
ijassa-1585	270	5	in	in	ADP
ijassa-1585	270	6	approximating	approximate	VERB
ijassa-1585	270	7	the	the	DET
ijassa-1585	270	8	copula	copula	ADJ
ijassa-1585	270	9	density	density	NOUN
ijassa-1585	270	10	increases	increase	VERB
ijassa-1585	270	11	with	with	ADP
ijassa-1585	270	12	increasing	increase	VERB
ijassa-1585	270	13	values	value	NOUN
ijassa-1585	270	14	of	of	ADP
ijassa-1585	270	15	u1	u1	NOUN
ijassa-1585	270	16	and	and	CCONJ
ijassa-1585	270	17	u2	u2	NOUN
ijassa-1585	270	18	,	,	PUNCT
ijassa-1585	270	19	however	however	ADV
ijassa-1585	270	20	,	,	PUNCT
ijassa-1585	270	21	the	the	DET
ijassa-1585	270	22	resulting	result	VERB
ijassa-1585	270	23	estimates	estimate	NOUN
ijassa-1585	270	24	will	will	AUX
ijassa-1585	270	25	be	be	AUX
ijassa-1585	270	26	upper	upper	ADJ
ijassa-1585	270	27	estimates	estimate	NOUN
ijassa-1585	270	28	;	;	PUNCT
ijassa-1585	270	29	in	in	ADP
ijassa-1585	270	30	addition	addition	NOUN
ijassa-1585	270	31	,	,	PUNCT
ijassa-1585	270	32	this	this	DET
ijassa-1585	270	33	phenomenon	phenomenon	NOUN
ijassa-1585	270	34	can	can	AUX
ijassa-1585	270	35	be	be	AUX
ijassa-1585	270	36	explained	explain	VERB
ijassa-1585	270	37	by	by	ADP
ijassa-1585	270	38	the	the	DET
ijassa-1585	270	39	insufficient	insufficient	ADJ
ijassa-1585	270	40	number	number	NOUN
ijassa-1585	270	41	of	of	ADP
ijassa-1585	270	42	tests	test	NOUN
ijassa-1585	270	43	in	in	ADP
ijassa-1585	270	44	the	the	DET
ijassa-1585	270	45	region	region	NOUN
ijassa-1585	270	46	of	of	ADP
ijassa-1585	270	47	upper	upper	ADJ
ijassa-1585	270	48	quantiles	quantile	NOUN
ijassa-1585	270	49	and	and	CCONJ
ijassa-1585	270	50	high	high	ADJ
ijassa-1585	270	51	values	value	NOUN
ijassa-1585	270	52	of	of	ADP
ijassa-1585	270	53	the	the	DET
ijassa-1585	270	54	load	load	NOUN
ijassa-1585	270	55	factor	factor	NOUN
ijassa-1585	270	56	.	.	PUNCT
ijassa-1585	271	1	as	as	SCONJ
ijassa-1585	271	2	mentioned	mention	VERB
ijassa-1585	271	3	above	above	ADV
ijassa-1585	271	4	,	,	PUNCT
ijassa-1585	271	5	increasing	increase	VERB
ijassa-1585	271	6	the	the	DET
ijassa-1585	271	7	accuracy	accuracy	NOUN
ijassa-1585	271	8	of	of	ADP
ijassa-1585	271	9	simulation	simulation	NOUN
ijassa-1585	271	10	estimates	estimate	NOUN
ijassa-1585	271	11	in	in	ADP
ijassa-1585	271	12	the	the	DET
ijassa-1585	271	13	range	range	NOUN
ijassa-1585	271	14	of	of	ADP
ijassa-1585	271	15	ρ	ρ	PROPN
ijassa-1585	271	16	values	value	NOUN
ijassa-1585	271	17	,	,	PUNCT
ijassa-1585	271	18	as	as	ADV
ijassa-1585	271	19	well	well	ADV
ijassa-1585	271	20	as	as	ADP
ijassa-1585	271	21	quantiles	quantile	NOUN
ijassa-1585	271	22	close	close	ADJ
ijassa-1585	271	23	to	to	ADP
ijassa-1585	271	24	unity	unity	NOUN
ijassa-1585	271	25	,	,	PUNCT
ijassa-1585	271	26	requires	require	VERB
ijassa-1585	271	27	a	a	DET
ijassa-1585	271	28	significant	significant	ADJ
ijassa-1585	271	29	increase	increase	NOUN
ijassa-1585	271	30	in	in	ADP
ijassa-1585	271	31	the	the	DET
ijassa-1585	271	32	duration	duration	NOUN
ijassa-1585	271	33	of	of	ADP
ijassa-1585	271	34	the	the	DET
ijassa-1585	271	35	simulation	simulation	NOUN
ijassa-1585	271	36	[	[	X
ijassa-1585	271	37	10	10	NUM
ijassa-1585	271	38	]	]	PUNCT
ijassa-1585	271	39	.	.	PUNCT
ijassa-1585	272	1	6	6	NUM
ijassa-1585	272	2	.	.	X
ijassa-1585	272	3	comparison	comparison	NOUN
ijassa-1585	272	4	of	of	ADP
ijassa-1585	272	5	the	the	DET
ijassa-1585	272	6	gumbel	gumbel	PROPN
ijassa-1585	272	7	copula	copula	NOUN
ijassa-1585	272	8	approximation	approximation	NOUN
ijassa-1585	272	9	with	with	ADP
ijassa-1585	272	10	previously	previously	ADV
ijassa-1585	272	11	known	know	VERB
ijassa-1585	272	12	results	result	NOUN
ijassa-1585	272	13	next	next	ADV
ijassa-1585	272	14	,	,	PUNCT
ijassa-1585	272	15	let	let	VERB
ijassa-1585	272	16	’s	’s	PRON
ijassa-1585	272	17	check	check	VERB
ijassa-1585	272	18	how	how	SCONJ
ijassa-1585	272	19	much	much	ADV
ijassa-1585	272	20	the	the	DET
ijassa-1585	272	21	obtained	obtain	VERB
ijassa-1585	272	22	result	result	NOUN
ijassa-1585	272	23	agrees	agree	VERB
ijassa-1585	272	24	with	with	ADP
ijassa-1585	272	25	the	the	DET
ijassa-1585	272	26	exact	exact	ADJ
ijassa-1585	272	27	formula	formula	NOUN
ijassa-1585	272	28	for	for	ADP
ijassa-1585	272	29	the	the	DET
ijassa-1585	272	30	mathematical	mathematical	ADJ
ijassa-1585	272	31	expectation	expectation	NOUN
ijassa-1585	272	32	of	of	ADP
ijassa-1585	272	33	the	the	DET
ijassa-1585	272	34	response	response	NOUN
ijassa-1585	272	35	time	time	NOUN
ijassa-1585	272	36	obtained	obtain	VERB
ijassa-1585	272	37	in	in	ADP
ijassa-1585	272	38	[	[	X
ijassa-1585	272	39	24	24	NUM
ijassa-1585	272	40	]	]	PUNCT
ijassa-1585	272	41	,	,	PUNCT
ijassa-1585	272	42	since	since	SCONJ
ijassa-1585	272	43	it	it	PRON
ijassa-1585	272	44	must	must	AUX
ijassa-1585	272	45	be	be	AUX
ijassa-1585	272	46	true	true	ADJ
ijassa-1585	272	47	e[r	e[r	X
ijassa-1585	272	48	]	]	X
ijassa-1585	272	49	=	=	PUNCT
ijassa-1585	273	1	+	+	PROPN
ijassa-1585	273	2	∞∫	∞∫	NOUN
ijassa-1585	273	3	0	0	PUNCT
ijassa-1585	274	1	[	[	X
ijassa-1585	274	2	1−	1−	NUM
ijassa-1585	274	3	fr(x)]dx	fr(x)]dx	PROPN
ijassa-1585	274	4	=	=	PUNCT
ijassa-1585	275	1	+	+	PROPN
ijassa-1585	275	2	∞∫	∞∫	NOUN
ijassa-1585	275	3	0	0	PUNCT
ijassa-1585	276	1	[	[	X
ijassa-1585	276	2	1−	1−	NUM
ijassa-1585	276	3	δ(f	δ(f	PROPN
ijassa-1585	276	4	(	(	PUNCT
ijassa-1585	276	5	x))]dx	x))]dx	SYM
ijassa-1585	276	6	=	=	PUNCT
ijassa-1585	276	7	+	+	PROPN
ijassa-1585	276	8	∞∫	∞∫	NOUN
ijassa-1585	276	9	0	0	PUNCT
ijassa-1585	277	1	[	[	X
ijassa-1585	277	2	1−	1−	NUM
ijassa-1585	277	3	δ(1−	δ(1−	PROPN
ijassa-1585	277	4	e−(µ−λ)x)]dx	e−(µ−λ)x)]dx	PROPN
ijassa-1585	277	5	,	,	PUNCT
ijassa-1585	277	6	(	(	PUNCT
ijassa-1585	277	7	6.22	6.22	NUM
ijassa-1585	277	8	)	)	PUNCT
ijassa-1585	277	9	copyright	copyright	NOUN
ijassa-1585	277	10	©	©	PROPN
ijassa-1585	277	11	2024	2024	NUM
ijassa-1585	277	12	assa	assa	NOUN
ijassa-1585	277	13	.	.	PUNCT
ijassa-1585	278	1	adv	adv	PROPN
ijassa-1585	278	2	syst	syst	PROPN
ijassa-1585	278	3	sci	sci	PROPN
ijassa-1585	278	4	appl	appl	PROPN
ijassa-1585	278	5	(	(	PUNCT
ijassa-1585	278	6	2024	2024	NUM
ijassa-1585	278	7	)	)	PUNCT
ijassa-1585	278	8	14	14	NUM
ijassa-1585	278	9	a.v	a.v	PROPN
ijassa-1585	278	10	.	.	PROPN
ijassa-1585	278	11	gorbunova	gorbunova	PROPN
ijassa-1585	278	12	,	,	PUNCT
ijassa-1585	278	13	a.v	a.v	PROPN
ijassa-1585	278	14	.	.	PROPN
ijassa-1585	278	15	lebedev	lebedev	PROPN
ijassa-1585	278	16	where	where	SCONJ
ijassa-1585	278	17	the	the	DET
ijassa-1585	278	18	estimate	estimate	NOUN
ijassa-1585	278	19	of	of	ADP
ijassa-1585	278	20	the	the	DET
ijassa-1585	278	21	diagonal	diagonal	ADJ
ijassa-1585	278	22	section	section	NOUN
ijassa-1585	278	23	(	(	PUNCT
ijassa-1585	278	24	based	base	VERB
ijassa-1585	278	25	on	on	ADP
ijassa-1585	278	26	the	the	DET
ijassa-1585	278	27	copula	copula	NOUN
ijassa-1585	278	28	selected	select	VERB
ijassa-1585	278	29	in	in	ADP
ijassa-1585	278	30	section	section	NOUN
ijassa-1585	278	31	5	5	NUM
ijassa-1585	278	32	)	)	PUNCT
ijassa-1585	278	33	has	have	VERB
ijassa-1585	278	34	the	the	DET
ijassa-1585	278	35	form	form	NOUN
ijassa-1585	278	36	δ(u	δ(u	NOUN
ijassa-1585	278	37	)	)	PUNCT
ijassa-1585	279	1	≈	≈	NOUN
ijassa-1585	279	2	u2−cρ	u2−cρ	PROPN
ijassa-1585	279	3	,	,	PUNCT
ijassa-1585	279	4	c	c	PROPN
ijassa-1585	279	5	≈	≈	PROPN
ijassa-1585	279	6	0.369250	0.369250	NUM
ijassa-1585	279	7	.	.	PUNCT
ijassa-1585	280	1	(	(	PUNCT
ijassa-1585	280	2	6.23	6.23	NUM
ijassa-1585	280	3	)	)	PUNCT
ijassa-1585	280	4	according	accord	VERB
ijassa-1585	280	5	to	to	ADP
ijassa-1585	280	6	[	[	X
ijassa-1585	280	7	24	24	NUM
ijassa-1585	280	8	]	]	PUNCT
ijassa-1585	280	9	,	,	PUNCT
ijassa-1585	280	10	the	the	DET
ijassa-1585	280	11	average	average	ADJ
ijassa-1585	280	12	response	response	NOUN
ijassa-1585	280	13	time	time	NOUN
ijassa-1585	280	14	of	of	ADP
ijassa-1585	280	15	a	a	DET
ijassa-1585	280	16	fork	fork	NOUN
ijassa-1585	280	17	-	-	PUNCT
ijassa-1585	280	18	join	join	NOUN
ijassa-1585	280	19	qs	qs	NOUN
ijassa-1585	280	20	with	with	ADP
ijassa-1585	280	21	two	two	NUM
ijassa-1585	280	22	subsystemsmλ|mµ|1	subsystemsmλ|mµ|1	PROPN
ijassa-1585	280	23	is	be	AUX
ijassa-1585	280	24	e[r	e[r	ADJ
ijassa-1585	280	25	]	]	X
ijassa-1585	281	1	=	=	SYM
ijassa-1585	281	2	12−	12−	NUM
ijassa-1585	281	3	ρ	ρ	NUM
ijassa-1585	281	4	8	8	NUM
ijassa-1585	281	5	·	·	SYM
ijassa-1585	281	6	1	1	NUM
ijassa-1585	281	7	µ−	µ−	PROPN
ijassa-1585	281	8	λ	λ	NOUN
ijassa-1585	281	9	.	.	PUNCT
ijassa-1585	282	1	taking	take	VERB
ijassa-1585	282	2	into	into	ADP
ijassa-1585	282	3	account	account	NOUN
ijassa-1585	282	4	the	the	DET
ijassa-1585	282	5	fact	fact	NOUN
ijassa-1585	282	6	that	that	SCONJ
ijassa-1585	282	7	in	in	ADP
ijassa-1585	282	8	the	the	DET
ijassa-1585	282	9	case	case	NOUN
ijassa-1585	282	10	under	under	ADP
ijassa-1585	282	11	consideration	consideration	NOUN
ijassa-1585	282	12	we	we	PRON
ijassa-1585	282	13	assume	assume	VERB
ijassa-1585	282	14	for	for	ADP
ijassa-1585	282	15	simplicity	simplicity	NOUN
ijassa-1585	282	16	λ	λ	NOUN
ijassa-1585	282	17	=	=	SYM
ijassa-1585	282	18	1	1	NUM
ijassa-1585	282	19	and	and	CCONJ
ijassa-1585	282	20	,	,	PUNCT
ijassa-1585	282	21	accordingly	accordingly	ADV
ijassa-1585	282	22	,	,	PUNCT
ijassa-1585	282	23	µ	µ	X
ijassa-1585	282	24	=	=	SYM
ijassa-1585	282	25	1	1	NUM
ijassa-1585	282	26	/	/	SYM
ijassa-1585	282	27	ρ	ρ	PROPN
ijassa-1585	282	28	,	,	PUNCT
ijassa-1585	282	29	we	we	PRON
ijassa-1585	282	30	can	can	AUX
ijassa-1585	282	31	rewrite	rewrite	VERB
ijassa-1585	282	32	this	this	DET
ijassa-1585	282	33	expression	expression	NOUN
ijassa-1585	282	34	as	as	SCONJ
ijassa-1585	282	35	follows	follow	VERB
ijassa-1585	282	36	:	:	PUNCT
ijassa-1585	282	37	e[r	e[r	X
ijassa-1585	282	38	]	]	X
ijassa-1585	283	1	=	=	SYM
ijassa-1585	283	2	(	(	PUNCT
ijassa-1585	283	3	12−	12−	NUM
ijassa-1585	283	4	ρ)ρ	ρ)ρ	VERB
ijassa-1585	283	5	8(1−	8(1−	NUM
ijassa-1585	283	6	ρ	ρ	NOUN
ijassa-1585	283	7	)	)	PUNCT
ijassa-1585	283	8	.	.	PUNCT
ijassa-1585	284	1	(	(	PUNCT
ijassa-1585	284	2	6.24	6.24	NUM
ijassa-1585	284	3	)	)	PUNCT
ijassa-1585	284	4	0.0	0.0	NUM
ijassa-1585	284	5	2.0	2.0	NUM
ijassa-1585	284	6	4.0	4.0	NUM
ijassa-1585	284	7	6.0	6.0	NUM
ijassa-1585	284	8	8.0	8.0	NUM
ijassa-1585	284	9	10.0	10.0	NUM
ijassa-1585	284	10	12.0	12.0	NUM
ijassa-1585	284	11	14.0	14.0	NUM
ijassa-1585	284	12	0.0	0.0	NUM
ijassa-1585	284	13	0.1	0.1	NUM
ijassa-1585	284	14	0.2	0.2	NUM
ijassa-1585	284	15	0.3	0.3	NUM
ijassa-1585	284	16	0.4	0.4	NUM
ijassa-1585	284	17	0.5	0.5	NUM
ijassa-1585	284	18	0.6	0.6	NUM
ijassa-1585	284	19	0.7	0.7	NUM
ijassa-1585	284	20	0.8	0.8	NUM
ijassa-1585	284	21	0.9	0.9	NUM
ijassa-1585	284	22	1.0	1.0	NUM
ijassa-1585	284	23	e[r	e[r	NOUN
ijassa-1585	284	24	]	]	X
ijassa-1585	284	25	ρ	ρ	PROPN
ijassa-1585	284	26	nelson	nelson	PROPN
ijassa-1585	284	27	-	-	PUNCT
ijassa-1585	284	28	tantawi	tantawi	PROPN
ijassa-1585	284	29	gumbel	gumbel	PROPN
ijassa-1585	284	30	's	's	PART
ijassa-1585	284	31	copula	copula	PROPN
ijassa-1585	284	32	fig	fig	NOUN
ijassa-1585	284	33	.	.	PUNCT
ijassa-1585	285	1	6.9	6.9	NUM
ijassa-1585	285	2	.	.	PUNCT
ijassa-1585	285	3	comparison	comparison	NOUN
ijassa-1585	285	4	of	of	ADP
ijassa-1585	285	5	the	the	DET
ijassa-1585	285	6	results	result	NOUN
ijassa-1585	285	7	of	of	ADP
ijassa-1585	285	8	calculating	calculate	VERB
ijassa-1585	285	9	the	the	DET
ijassa-1585	285	10	average	average	ADJ
ijassa-1585	285	11	response	response	NOUN
ijassa-1585	285	12	time	time	NOUN
ijassa-1585	285	13	of	of	ADP
ijassa-1585	285	14	the	the	DET
ijassa-1585	285	15	fork	fork	NOUN
ijassa-1585	285	16	-	-	PUNCT
ijassa-1585	285	17	join	join	NOUN
ijassa-1585	285	18	qs	qs	NOUN
ijassa-1585	285	19	e[r	e[r	NOUN
ijassa-1585	285	20	]	]	PUNCT
ijassa-1585	285	21	using	use	VERB
ijassa-1585	285	22	the	the	DET
ijassa-1585	285	23	exact	exact	ADJ
ijassa-1585	285	24	formula	formula	NOUN
ijassa-1585	285	25	(	(	PUNCT
ijassa-1585	285	26	6.24	6.24	NUM
ijassa-1585	285	27	)	)	PUNCT
ijassa-1585	285	28	and	and	CCONJ
ijassa-1585	285	29	using	use	VERB
ijassa-1585	285	30	the	the	DET
ijassa-1585	285	31	gumbel	gumbel	PROPN
ijassa-1585	285	32	copula	copula	NOUN
ijassa-1585	285	33	approximation	approximation	NOUN
ijassa-1585	285	34	(	(	PUNCT
ijassa-1585	285	35	5.21	5.21	NUM
ijassa-1585	285	36	)	)	PUNCT
ijassa-1585	285	37	in	in	ADP
ijassa-1585	285	38	accordance	accordance	NOUN
ijassa-1585	285	39	with	with	ADP
ijassa-1585	285	40	the	the	DET
ijassa-1585	285	41	equality	equality	NOUN
ijassa-1585	285	42	(	(	PUNCT
ijassa-1585	285	43	6.27	6.27	NUM
ijassa-1585	285	44	)	)	PUNCT
ijassa-1585	285	45	from	from	ADP
ijassa-1585	285	46	[	[	X
ijassa-1585	285	47	17	17	NUM
ijassa-1585	285	48	]	]	X
ijassa-1585	285	49	it	it	PRON
ijassa-1585	285	50	is	be	AUX
ijassa-1585	285	51	known	know	VERB
ijassa-1585	285	52	that	that	SCONJ
ijassa-1585	285	53	a	a	DET
ijassa-1585	285	54	random	random	ADJ
ijassa-1585	285	55	variable	variable	NOUN
ijassa-1585	285	56	x	x	PUNCT
ijassa-1585	285	57	with	with	ADP
ijassa-1585	285	58	a	a	DET
ijassa-1585	285	59	standard	standard	ADJ
ijassa-1585	285	60	generalized	generalize	VERB
ijassa-1585	285	61	exponential	exponential	ADJ
ijassa-1585	285	62	distribution	distribution	NOUN
ijassa-1585	285	63	with	with	ADP
ijassa-1585	285	64	a	a	DET
ijassa-1585	285	65	function	function	NOUN
ijassa-1585	285	66	and	and	CCONJ
ijassa-1585	285	67	distribution	distribution	NOUN
ijassa-1585	285	68	density	density	NOUN
ijassa-1585	285	69	of	of	ADP
ijassa-1585	285	70	the	the	DET
ijassa-1585	285	71	form	form	NOUN
ijassa-1585	285	72	fη(x	fη(x	X
ijassa-1585	285	73	)	)	PUNCT
ijassa-1585	285	74	=	=	SYM
ijassa-1585	285	75	(	(	PUNCT
ijassa-1585	285	76	1−	1−	NUM
ijassa-1585	285	77	e−x)α	e−x)α	PROPN
ijassa-1585	285	78	,	,	PUNCT
ijassa-1585	285	79	fη(x	fη(x	X
ijassa-1585	285	80	)	)	PUNCT
ijassa-1585	285	81	=	=	PUNCT
ijassa-1585	286	1	α(1−	α(1−	PROPN
ijassa-1585	286	2	e−x)α−1e−x	e−x)α−1e−x	PROPN
ijassa-1585	286	3	,	,	PUNCT
ijassa-1585	286	4	x	x	SYM
ijassa-1585	286	5	⩾	⩾	NOUN
ijassa-1585	286	6	0	0	NUM
ijassa-1585	286	7	,	,	PUNCT
ijassa-1585	286	8	α	α	X
ijassa-1585	286	9	>	>	X
ijassa-1585	286	10	0	0	NUM
ijassa-1585	286	11	,	,	PUNCT
ijassa-1585	286	12	has	have	VERB
ijassa-1585	286	13	the	the	DET
ijassa-1585	286	14	mathematical	mathematical	ADJ
ijassa-1585	286	15	expectation	expectation	NOUN
ijassa-1585	286	16	e[x	e[x	NOUN
ijassa-1585	286	17	]	]	X
ijassa-1585	286	18	=	=	SYM
ijassa-1585	286	19	ψ(α	ψ(α	PROPN
ijassa-1585	286	20	+	+	CCONJ
ijassa-1585	286	21	1)−	1)−	NUM
ijassa-1585	286	22	ψ(1	ψ(1	PROPN
ijassa-1585	286	23	)	)	PUNCT
ijassa-1585	286	24	(	(	PUNCT
ijassa-1585	286	25	6.25	6.25	NUM
ijassa-1585	286	26	)	)	PUNCT
ijassa-1585	286	27	and	and	CCONJ
ijassa-1585	286	28	the	the	DET
ijassa-1585	286	29	variation	variation	NOUN
ijassa-1585	286	30	v	v	ADP
ijassa-1585	286	31	ar[x	ar[x	NOUN
ijassa-1585	286	32	]	]	PUNCT
ijassa-1585	286	33	=	=	SYM
ijassa-1585	286	34	ψ′(1)−	ψ′(1)−	NOUN
ijassa-1585	286	35	ψ′(α	ψ′(α	PUNCT
ijassa-1585	287	1	+	+	CCONJ
ijassa-1585	287	2	1	1	NUM
ijassa-1585	287	3	)	)	PUNCT
ijassa-1585	287	4	,	,	PUNCT
ijassa-1585	287	5	(	(	PUNCT
ijassa-1585	287	6	6.26	6.26	NUM
ijassa-1585	287	7	)	)	PUNCT
ijassa-1585	287	8	where	where	SCONJ
ijassa-1585	287	9	ψ	ψ	X
ijassa-1585	287	10	(	(	PUNCT
ijassa-1585	287	11	·	·	PUNCT
ijassa-1585	287	12	)	)	PUNCT
ijassa-1585	287	13	is	be	AUX
ijassa-1585	287	14	the	the	DET
ijassa-1585	287	15	digamma	digamma	PROPN
ijassa-1585	287	16	function	function	NOUN
ijassa-1585	287	17	,	,	PUNCT
ijassa-1585	287	18	which	which	PRON
ijassa-1585	287	19	is	be	AUX
ijassa-1585	287	20	defined	define	VERB
ijassa-1585	287	21	as	as	ADP
ijassa-1585	287	22	the	the	DET
ijassa-1585	287	23	logarithmic	logarithmic	ADJ
ijassa-1585	287	24	derivative	derivative	NOUN
ijassa-1585	287	25	of	of	ADP
ijassa-1585	287	26	the	the	DET
ijassa-1585	287	27	gamma	gamma	NOUN
ijassa-1585	287	28	function	function	NOUN
ijassa-1585	287	29	[	[	X
ijassa-1585	287	30	36	36	NUM
ijassa-1585	287	31	]	]	PUNCT
ijassa-1585	287	32	.	.	PUNCT
ijassa-1585	288	1	in	in	ADP
ijassa-1585	288	2	fact	fact	NOUN
ijassa-1585	288	3	,	,	PUNCT
ijassa-1585	288	4	based	base	VERB
ijassa-1585	288	5	on	on	ADP
ijassa-1585	288	6	the	the	DET
ijassa-1585	288	7	power	power	NOUN
ijassa-1585	288	8	-	-	PUNCT
ijassa-1585	288	9	law	law	NOUN
ijassa-1585	288	10	diagonal	diagonal	ADJ
ijassa-1585	288	11	section	section	NOUN
ijassa-1585	288	12	,	,	PUNCT
ijassa-1585	288	13	we	we	PRON
ijassa-1585	288	14	obtain	obtain	VERB
ijassa-1585	288	15	an	an	DET
ijassa-1585	288	16	approximation	approximation	NOUN
ijassa-1585	288	17	for	for	ADP
ijassa-1585	288	18	the	the	DET
ijassa-1585	288	19	response	response	NOUN
ijassa-1585	288	20	time	time	NOUN
ijassa-1585	288	21	distribution	distribution	NOUN
ijassa-1585	288	22	by	by	ADP
ijassa-1585	288	23	a	a	DET
ijassa-1585	288	24	generalized	generalize	VERB
ijassa-1585	288	25	exponential	exponential	ADJ
ijassa-1585	288	26	distribution	distribution	NOUN
ijassa-1585	288	27	of	of	ADP
ijassa-1585	288	28	the	the	DET
ijassa-1585	288	29	general	general	ADJ
ijassa-1585	288	30	form	form	NOUN
ijassa-1585	288	31	fr(x	fr(x	X
ijassa-1585	288	32	)	)	PUNCT
ijassa-1585	289	1	≈	≈	PROPN
ijassa-1585	289	2	(	(	PUNCT
ijassa-1585	289	3	1−	1−	NUM
ijassa-1585	289	4	e−x	e−x	NOUN
ijassa-1585	289	5	/	/	SYM
ijassa-1585	289	6	β)α	β)α	NOUN
ijassa-1585	289	7	,	,	PUNCT
ijassa-1585	289	8	x	x	SYM
ijassa-1585	289	9	⩾	⩾	NOUN
ijassa-1585	289	10	0	0	NUM
ijassa-1585	289	11	,	,	PUNCT
ijassa-1585	289	12	α	α	X
ijassa-1585	289	13	,	,	PUNCT
ijassa-1585	289	14	β	β	X
ijassa-1585	289	15	>	>	X
ijassa-1585	289	16	0	0	X
ijassa-1585	289	17	.	.	PUNCT
ijassa-1585	290	1	this	this	DET
ijassa-1585	290	2	approximation	approximation	NOUN
ijassa-1585	290	3	was	be	AUX
ijassa-1585	290	4	previously	previously	ADV
ijassa-1585	290	5	postulated	postulate	VERB
ijassa-1585	290	6	in	in	ADP
ijassa-1585	290	7	[	[	X
ijassa-1585	290	8	26	26	NUM
ijassa-1585	290	9	]	]	PUNCT
ijassa-1585	290	10	,	,	PUNCT
ijassa-1585	290	11	but	but	CCONJ
ijassa-1585	290	12	we	we	PRON
ijassa-1585	290	13	derived	derive	VERB
ijassa-1585	290	14	it	it	PRON
ijassa-1585	290	15	naturally	naturally	ADV
ijassa-1585	290	16	,	,	PUNCT
ijassa-1585	290	17	with	with	ADP
ijassa-1585	290	18	empirical	empirical	ADJ
ijassa-1585	290	19	and	and	CCONJ
ijassa-1585	290	20	theoretical	theoretical	ADJ
ijassa-1585	290	21	justification	justification	NOUN
ijassa-1585	290	22	.	.	PUNCT
ijassa-1585	291	1	copyright	copyright	NOUN
ijassa-1585	291	2	©	©	PROPN
ijassa-1585	291	3	2024	2024	NUM
ijassa-1585	291	4	assa	assa	NOUN
ijassa-1585	291	5	.	.	PUNCT
ijassa-1585	292	1	adv	adv	PROPN
ijassa-1585	292	2	syst	syst	PROPN
ijassa-1585	292	3	sci	sci	PROPN
ijassa-1585	292	4	appl	appl	PROPN
ijassa-1585	292	5	(	(	PUNCT
ijassa-1585	292	6	2024	2024	NUM
ijassa-1585	292	7	)	)	PUNCT
ijassa-1585	292	8	assa	assa	NOUN
ijassa-1585	292	9	latex	latex	NOUN
ijassa-1585	292	10	template	template	NOUN
ijassa-1585	292	11	15	15	NUM
ijassa-1585	292	12	due	due	ADP
ijassa-1585	292	13	to	to	ADP
ijassa-1585	292	14	the	the	DET
ijassa-1585	292	15	assumption	assumption	NOUN
ijassa-1585	292	16	(	(	PUNCT
ijassa-1585	292	17	6.23	6.23	NUM
ijassa-1585	292	18	)	)	PUNCT
ijassa-1585	292	19	,	,	PUNCT
ijassa-1585	292	20	taking	take	VERB
ijassa-1585	292	21	into	into	ADP
ijassa-1585	292	22	account	account	NOUN
ijassa-1585	292	23	(	(	PUNCT
ijassa-1585	292	24	6.25	6.25	NUM
ijassa-1585	292	25	)	)	PUNCT
ijassa-1585	292	26	)	)	PUNCT
ijassa-1585	292	27	,	,	PUNCT
ijassa-1585	292	28	the	the	DET
ijassa-1585	292	29	integral	integral	ADJ
ijassa-1585	292	30	(	(	PUNCT
ijassa-1585	292	31	6.22	6.22	NUM
ijassa-1585	292	32	)	)	PUNCT
ijassa-1585	292	33	is	be	AUX
ijassa-1585	292	34	transformed	transform	VERB
ijassa-1585	292	35	as	as	SCONJ
ijassa-1585	292	36	follows	follow	VERB
ijassa-1585	292	37	e[r	e[r	NOUN
ijassa-1585	292	38	]	]	X
ijassa-1585	292	39	=	=	SYM
ijassa-1585	293	1	+	+	PROPN
ijassa-1585	293	2	∞∫	∞∫	NOUN
ijassa-1585	293	3	0	0	PUNCT
ijassa-1585	294	1	[	[	X
ijassa-1585	294	2	1−	1−	NUM
ijassa-1585	294	3	δ(1−	δ(1−	ADJ
ijassa-1585	294	4	e−	e−	PROPN
ijassa-1585	294	5	(	(	PUNCT
ijassa-1585	294	6	1	1	NUM
ijassa-1585	294	7	ρ	ρ	NUM
ijassa-1585	294	8	−1)x)]dx	−1)x)]dx	PROPN
ijassa-1585	295	1	≈	≈	PROPN
ijassa-1585	295	2	≈	≈	PROPN
ijassa-1585	296	1	+	+	PROPN
ijassa-1585	296	2	∞∫	∞∫	PROPN
ijassa-1585	296	3	0	0	PUNCT
ijassa-1585	297	1	[	[	X
ijassa-1585	297	2	1−	1−	NUM
ijassa-1585	297	3	(	(	PUNCT
ijassa-1585	297	4	1−	1−	NUM
ijassa-1585	297	5	e−	e−	X
ijassa-1585	297	6	(	(	PUNCT
ijassa-1585	297	7	1	1	NUM
ijassa-1585	297	8	ρ	ρ	NOUN
ijassa-1585	297	9	−1)x)2−cρ]dx	−1)x)2−cρ]dx	NOUN
ijassa-1585	297	10	=	=	SYM
ijassa-1585	297	11	[	[	X
ijassa-1585	297	12	ψ(3−	ψ(3−	ADJ
ijassa-1585	297	13	cρ)−	cρ)−	ADJ
ijassa-1585	297	14	ψ(1	ψ(1	NUM
ijassa-1585	297	15	)	)	PUNCT
ijassa-1585	297	16	]	]	PUNCT
ijassa-1585	298	1	ρ	ρ	PROPN
ijassa-1585	298	2	1−	1−	NUM
ijassa-1585	298	3	ρ	ρ	NOUN
ijassa-1585	298	4	.	.	PUNCT
ijassa-1585	299	1	(	(	PUNCT
ijassa-1585	299	2	6.27	6.27	NUM
ijassa-1585	299	3	)	)	PUNCT
ijassa-1585	299	4	in	in	ADP
ijassa-1585	299	5	the	the	DET
ijassa-1585	299	6	figure	figure	NOUN
ijassa-1585	299	7	6.9	6.9	NUM
ijassa-1585	299	8	you	you	PRON
ijassa-1585	299	9	can	can	AUX
ijassa-1585	299	10	compare	compare	VERB
ijassa-1585	299	11	the	the	DET
ijassa-1585	299	12	approximations	approximation	NOUN
ijassa-1585	299	13	of	of	ADP
ijassa-1585	299	14	the	the	DET
ijassa-1585	299	15	integral	integral	ADJ
ijassa-1585	299	16	from	from	ADP
ijassa-1585	299	17	(	(	PUNCT
ijassa-1585	299	18	6.27	6.27	NUM
ijassa-1585	299	19	)	)	PUNCT
ijassa-1585	299	20	with	with	ADP
ijassa-1585	299	21	the	the	DET
ijassa-1585	299	22	true	true	ADJ
ijassa-1585	299	23	values	value	NOUN
ijassa-1585	299	24	of	of	ADP
ijassa-1585	299	25	the	the	DET
ijassa-1585	299	26	average	average	ADJ
ijassa-1585	299	27	response	response	NOUN
ijassa-1585	299	28	time	time	NOUN
ijassa-1585	299	29	(	(	PUNCT
ijassa-1585	299	30	6.24	6.24	NUM
ijassa-1585	299	31	)	)	PUNCT
ijassa-1585	299	32	according	accord	VERB
ijassa-1585	299	33	to	to	ADP
ijassa-1585	299	34	[	[	X
ijassa-1585	299	35	24	24	NUM
ijassa-1585	299	36	]	]	PUNCT
ijassa-1585	299	37	for	for	ADP
ijassa-1585	299	38	values	value	NOUN
ijassa-1585	299	39	of	of	ADP
ijassa-1585	299	40	ρ	ρ	PROPN
ijassa-1585	299	41	in{0.10	in{0.10	NOUN
ijassa-1585	299	42	,	,	PUNCT
ijassa-1585	299	43	0.15	0.15	NUM
ijassa-1585	299	44	,	,	PUNCT
ijassa-1585	299	45	...	...	PUNCT
ijassa-1585	299	46	,	,	PUNCT
ijassa-1585	299	47	0.90	0.90	NUM
ijassa-1585	299	48	}	}	PUNCT
ijassa-1585	299	49	.	.	PUNCT
ijassa-1585	300	1	in	in	ADP
ijassa-1585	300	2	addition	addition	NOUN
ijassa-1585	300	3	,	,	PUNCT
ijassa-1585	300	4	table	table	NOUN
ijassa-1585	300	5	6.5	6.5	NUM
ijassa-1585	300	6	shows	show	VERB
ijassa-1585	300	7	the	the	DET
ijassa-1585	300	8	results	result	NOUN
ijassa-1585	300	9	of	of	ADP
ijassa-1585	300	10	calculations	calculation	NOUN
ijassa-1585	300	11	of	of	ADP
ijassa-1585	300	12	the	the	DET
ijassa-1585	300	13	mathematical	mathematical	ADJ
ijassa-1585	300	14	expectation	expectation	NOUN
ijassa-1585	300	15	of	of	ADP
ijassa-1585	300	16	the	the	DET
ijassa-1585	300	17	response	response	NOUN
ijassa-1585	300	18	time	time	NOUN
ijassa-1585	300	19	,	,	PUNCT
ijassa-1585	300	20	from	from	ADP
ijassa-1585	300	21	which	which	PRON
ijassa-1585	300	22	it	it	PRON
ijassa-1585	300	23	follows	follow	VERB
ijassa-1585	300	24	that	that	SCONJ
ijassa-1585	300	25	the	the	DET
ijassa-1585	300	26	modulus	modulus	NOUN
ijassa-1585	300	27	of	of	ADP
ijassa-1585	300	28	the	the	DET
ijassa-1585	300	29	maximum	maximum	ADJ
ijassa-1585	300	30	relative	relative	ADJ
ijassa-1585	300	31	error	error	NOUN
ijassa-1585	300	32	of	of	ADP
ijassa-1585	300	33	approximation	approximation	NOUN
ijassa-1585	300	34	by	by	ADP
ijassa-1585	300	35	the	the	DET
ijassa-1585	300	36	gumbel	gumbel	PROPN
ijassa-1585	300	37	copula	copula	NOUN
ijassa-1585	300	38	does	do	AUX
ijassa-1585	300	39	not	not	PART
ijassa-1585	300	40	exceed	exceed	VERB
ijassa-1585	300	41	ρ	ρ	NOUN
ijassa-1585	300	42	from	from	ADP
ijassa-1585	300	43	the	the	DET
ijassa-1585	300	44	specified	specified	ADJ
ijassa-1585	300	45	range	range	NOUN
ijassa-1585	300	46	2.03	2.03	NUM
ijassa-1585	300	47	%	%	NOUN
ijassa-1585	300	48	,	,	PUNCT
ijassa-1585	300	49	which	which	PRON
ijassa-1585	300	50	implies	imply	VERB
ijassa-1585	300	51	good	good	ADJ
ijassa-1585	300	52	consistency	consistency	NOUN
ijassa-1585	300	53	of	of	ADP
ijassa-1585	300	54	the	the	DET
ijassa-1585	300	55	obtained	obtain	VERB
ijassa-1585	300	56	approximations	approximation	NOUN
ijassa-1585	300	57	.	.	PUNCT
ijassa-1585	301	1	note	note	VERB
ijassa-1585	301	2	that	that	SCONJ
ijassa-1585	301	3	if	if	SCONJ
ijassa-1585	301	4	instead	instead	ADV
ijassa-1585	301	5	of	of	ADP
ijassa-1585	301	6	c	c	PROPN
ijassa-1585	301	7	≈	≈	PROPN
ijassa-1585	301	8	0.369250	0.369250	NUM
ijassa-1585	301	9	we	we	PRON
ijassa-1585	301	10	take	take	VERB
ijassa-1585	301	11	c	c	NOUN
ijassa-1585	302	1	≈	≈	PROPN
ijassa-1585	302	2	0.370608	0.370608	NUM
ijassa-1585	302	3	from	from	ADP
ijassa-1585	302	4	(	(	PUNCT
ijassa-1585	302	5	4.11	4.11	NUM
ijassa-1585	302	6	)	)	PUNCT
ijassa-1585	302	7	,	,	PUNCT
ijassa-1585	302	8	then	then	ADV
ijassa-1585	302	9	the	the	DET
ijassa-1585	302	10	result	result	NOUN
ijassa-1585	302	11	differs	differ	VERB
ijassa-1585	302	12	very	very	ADV
ijassa-1585	302	13	little	little	ADJ
ijassa-1585	302	14	.	.	PUNCT
ijassa-1585	302	15	table	table	NOUN
ijassa-1585	302	16	6.5	6.5	NUM
ijassa-1585	302	17	.	.	PUNCT
ijassa-1585	303	1	error	error	NOUN
ijassa-1585	303	2	in	in	ADP
ijassa-1585	303	3	approximation	approximation	NOUN
ijassa-1585	303	4	of	of	ADP
ijassa-1585	303	5	the	the	DET
ijassa-1585	303	6	average	average	ADJ
ijassa-1585	303	7	response	response	NOUN
ijassa-1585	303	8	time	time	NOUN
ijassa-1585	303	9	by	by	ADP
ijassa-1585	303	10	the	the	DET
ijassa-1585	303	11	gumbel	gumbel	PROPN
ijassa-1585	303	12	copula	copula	NOUN
ijassa-1585	303	13	in	in	ADP
ijassa-1585	303	14	accordance	accordance	NOUN
ijassa-1585	303	15	with	with	ADP
ijassa-1585	303	16	the	the	DET
ijassa-1585	303	17	formula	formula	NOUN
ijassa-1585	303	18	(	(	PUNCT
ijassa-1585	303	19	6.27	6.27	NUM
ijassa-1585	303	20	)	)	PUNCT
ijassa-1585	303	21	no	no	NOUN
ijassa-1585	303	22	.	.	PUNCT
ijassa-1585	304	1	ρ	ρ	PROPN
ijassa-1585	304	2	e[r]nt	e[r]nt	PART
ijassa-1585	304	3	e[r]g	e[r]g	NOUN
ijassa-1585	304	4	error	error	NOUN
ijassa-1585	304	5	,	,	PUNCT
ijassa-1585	304	6	%	%	NOUN
ijassa-1585	304	7	1	1	NUM
ijassa-1585	304	8	0.10	0.10	NUM
ijassa-1585	304	9	0.16527778	0.16527778	NUM
ijassa-1585	304	10	0.16503456	0.16503456	NUM
ijassa-1585	304	11	0.14716	0.14716	NUM
ijassa-1585	304	12	2	2	NUM
ijassa-1585	304	13	0.15	0.15	NUM
ijassa-1585	304	14	0.26139706	0.26139706	NUM
ijassa-1585	304	15	0.26080338	0.26080338	NUM
ijassa-1585	304	16	0.22712	0.22712	NUM
ijassa-1585	304	17	3	3	NUM
ijassa-1585	304	18	0.20	0.20	NUM
ijassa-1585	304	19	0.36875000	0.36875000	NUM
ijassa-1585	304	20	0.36760144	0.36760144	NUM
ijassa-1585	304	21	0.31148	0.31148	NUM
ijassa-1585	304	22	4	4	NUM
ijassa-1585	304	23	0.25	0.25	NUM
ijassa-1585	304	24	0.48958333	0.48958333	NUM
ijassa-1585	304	25	0.48762334	0.48762334	NUM
ijassa-1585	304	26	0.40034	0.40034	NUM
ijassa-1585	304	27	5	5	NUM
ijassa-1585	304	28	0.30	0.30	NUM
ijassa-1585	304	29	0.62678571	0.62678571	NUM
ijassa-1585	304	30	0.62369050	0.62369050	NUM
ijassa-1585	304	31	0.49382	0.49382	NUM
ijassa-1585	304	32	6	6	NUM
ijassa-1585	304	33	0.35	0.35	NUM
ijassa-1585	304	34	0.78413462	0.78413462	NUM
ijassa-1585	304	35	0.77949216	0.77949216	NUM
ijassa-1585	304	36	0.59205	0.59205	NUM
ijassa-1585	304	37	7	7	NUM
ijassa-1585	304	38	0.40	0.40	NUM
ijassa-1585	304	39	0.96666667	0.96666667	NUM
ijassa-1585	304	40	0.95994706	0.95994706	NUM
ijassa-1585	304	41	0.69513	0.69513	NUM
ijassa-1585	304	42	8	8	NUM
ijassa-1585	304	43	0.45	0.45	NUM
ijassa-1585	304	44	1.18125000	1.18125000	NUM
ijassa-1585	304	45	1.17176220	1.17176220	NUM
ijassa-1585	304	46	0.80320	0.80320	NUM
ijassa-1585	304	47	9	9	NUM
ijassa-1585	304	48	0.50	0.50	NUM
ijassa-1585	304	49	1.43750000	1.43750000	NUM
ijassa-1585	304	50	1.42432705	1.42432705	NUM
ijassa-1585	304	51	0.91638	0.91638	NUM
ijassa-1585	304	52	10	10	NUM
ijassa-1585	304	53	0.55	0.55	NUM
ijassa-1585	304	54	1.74930556	1.74930556	NUM
ijassa-1585	304	55	1.73120372	1.73120372	NUM
ijassa-1585	304	56	1.03480	1.03480	NUM
ijassa-1585	304	57	11	11	NUM
ijassa-1585	304	58	0.60	0.60	NUM
ijassa-1585	304	59	2.13750000	2.13750000	NUM
ijassa-1585	304	60	2.11273490	2.11273490	NUM
ijassa-1585	304	61	1.15860	1.15860	NUM
ijassa-1585	304	62	12	12	NUM
ijassa-1585	304	63	0.65	0.65	NUM
ijassa-1585	304	64	2.63482143	2.63482143	NUM
ijassa-1585	304	65	2.60088709	2.60088709	NUM
ijassa-1585	304	66	1.28792	1.28792	NUM
ijassa-1585	304	67	13	13	NUM
ijassa-1585	304	68	0.70	0.70	NUM
ijassa-1585	304	69	3.29583333	3.29583333	NUM
ijassa-1585	304	70	3.24893708	3.24893708	NUM
ijassa-1585	304	71	1.42290	1.42290	NUM
ijassa-1585	304	72	14	14	NUM
ijassa-1585	304	73	0.75	0.75	NUM
ijassa-1585	304	74	4.21875000	4.21875000	NUM
ijassa-1585	304	75	4.15278226	4.15278226	NUM
ijassa-1585	304	76	1.56368	1.56368	NUM
ijassa-1585	304	77	15	15	NUM
ijassa-1585	304	78	0.80	0.80	NUM
ijassa-1585	304	79	5.60000000	5.60000000	NUM
ijassa-1585	304	80	5.50421629	5.50421629	NUM
ijassa-1585	304	81	1.71042	1.71042	NUM
ijassa-1585	304	82	16	16	NUM
ijassa-1585	304	83	0.85	0.85	NUM
ijassa-1585	304	84	7.89791667	7.89791667	NUM
ijassa-1585	304	85	7.75075620	7.75075620	NUM
ijassa-1585	304	86	1.86328	1.86328	NUM
ijassa-1585	304	87	17	17	NUM
ijassa-1585	304	88	0.90	0.90	NUM
ijassa-1585	304	89	12.48750000	12.48750000	NUM
ijassa-1585	304	90	12.23495071	12.23495071	NUM
ijassa-1585	304	91	2.02242	2.02242	NUM
ijassa-1585	304	92	since	since	SCONJ
ijassa-1585	304	93	the	the	DET
ijassa-1585	304	94	average	average	ADJ
ijassa-1585	304	95	response	response	NOUN
ijassa-1585	304	96	time	time	NOUN
ijassa-1585	304	97	for	for	ADP
ijassa-1585	304	98	k	k	PROPN
ijassa-1585	304	99	=	=	SYM
ijassa-1585	304	100	2	2	NUM
ijassa-1585	304	101	is	be	AUX
ijassa-1585	304	102	known	know	VERB
ijassa-1585	304	103	exactly	exactly	ADV
ijassa-1585	304	104	,	,	PUNCT
ijassa-1585	304	105	the	the	DET
ijassa-1585	304	106	example	example	NOUN
ijassa-1585	304	107	discussed	discuss	VERB
ijassa-1585	304	108	is	be	AUX
ijassa-1585	304	109	illustrative	illustrative	ADJ
ijassa-1585	304	110	,	,	PUNCT
ijassa-1585	304	111	but	but	CCONJ
ijassa-1585	304	112	this	this	DET
ijassa-1585	304	113	approach	approach	NOUN
ijassa-1585	304	114	may	may	AUX
ijassa-1585	304	115	be	be	AUX
ijassa-1585	304	116	useful	useful	ADJ
ijassa-1585	304	117	for	for	ADP
ijassa-1585	304	118	k	k	PROPN
ijassa-1585	304	119	>	>	X
ijassa-1585	305	1	2	2	X
ijassa-1585	305	2	.	.	PUNCT
ijassa-1585	305	3	let	let	VERB
ijassa-1585	305	4	us	we	PRON
ijassa-1585	305	5	now	now	ADV
ijassa-1585	305	6	apply	apply	VERB
ijassa-1585	305	7	the	the	DET
ijassa-1585	305	8	copula	copula	NOUN
ijassa-1585	305	9	method	method	NOUN
ijassa-1585	305	10	to	to	PART
ijassa-1585	305	11	estimate	estimate	VERB
ijassa-1585	305	12	the	the	DET
ijassa-1585	305	13	kendall	kendall	PROPN
ijassa-1585	305	14	correlation	correlation	NOUN
ijassa-1585	305	15	coefficient	coefficient	NOUN
ijassa-1585	305	16	,	,	PUNCT
ijassa-1585	305	17	which	which	PRON
ijassa-1585	305	18	,	,	PUNCT
ijassa-1585	305	19	unlike	unlike	ADP
ijassa-1585	305	20	the	the	DET
ijassa-1585	305	21	pearson	pearson	NOUN
ijassa-1585	305	22	and	and	CCONJ
ijassa-1585	305	23	spearman	spearman	NOUN
ijassa-1585	305	24	coefficients	coefficient	NOUN
ijassa-1585	305	25	,	,	PUNCT
ijassa-1585	305	26	is	be	AUX
ijassa-1585	305	27	not	not	PART
ijassa-1585	305	28	calculated	calculate	VERB
ijassa-1585	305	29	exactly	exactly	ADV
ijassa-1585	305	30	,	,	PUNCT
ijassa-1585	305	31	and	and	CCONJ
ijassa-1585	305	32	was	be	AUX
ijassa-1585	305	33	previously	previously	ADV
ijassa-1585	305	34	estimated	estimate	VERB
ijassa-1585	305	35	by	by	ADP
ijassa-1585	305	36	the	the	DET
ijassa-1585	305	37	formula	formula	NOUN
ijassa-1585	305	38	(	(	PUNCT
ijassa-1585	305	39	2.4	2.4	NUM
ijassa-1585	305	40	)	)	PUNCT
ijassa-1585	305	41	.	.	PUNCT
ijassa-1585	306	1	according	accord	VERB
ijassa-1585	306	2	to	to	ADP
ijassa-1585	306	3	[	[	X
ijassa-1585	306	4	23	23	NUM
ijassa-1585	306	5	,	,	PUNCT
ijassa-1585	306	6	p.	p.	NOUN
ijassa-1585	306	7	164	164	NUM
ijassa-1585	306	8	]	]	PUNCT
ijassa-1585	306	9	,	,	PUNCT
ijassa-1585	306	10	for	for	ADP
ijassa-1585	306	11	the	the	DET
ijassa-1585	306	12	gumbel	gumbel	PROPN
ijassa-1585	306	13	copula	copula	NOUN
ijassa-1585	306	14	(	(	PUNCT
ijassa-1585	306	15	5.17	5.17	NUM
ijassa-1585	306	16	)	)	PUNCT
ijassa-1585	306	17	the	the	DET
ijassa-1585	306	18	kendall	kendall	PROPN
ijassa-1585	306	19	correlation	correlation	NOUN
ijassa-1585	306	20	coefficient	coefficient	NOUN
ijassa-1585	306	21	is	be	AUX
ijassa-1585	306	22	rk	rk	NOUN
ijassa-1585	306	23	=	=	SYM
ijassa-1585	306	24	1−	1−	NUM
ijassa-1585	306	25	1	1	NUM
ijassa-1585	306	26	θ	θ	NOUN
ijassa-1585	306	27	,	,	PUNCT
ijassa-1585	306	28	from	from	ADP
ijassa-1585	306	29	which	which	PRON
ijassa-1585	306	30	,	,	PUNCT
ijassa-1585	306	31	taking	take	VERB
ijassa-1585	306	32	into	into	ADP
ijassa-1585	306	33	account	account	NOUN
ijassa-1585	306	34	the	the	DET
ijassa-1585	306	35	formula	formula	NOUN
ijassa-1585	306	36	(	(	PUNCT
ijassa-1585	306	37	5.19	5.19	NUM
ijassa-1585	306	38	)	)	PUNCT
ijassa-1585	306	39	,	,	PUNCT
ijassa-1585	306	40	we	we	PRON
ijassa-1585	306	41	obtain	obtain	VERB
ijassa-1585	306	42	the	the	DET
ijassa-1585	306	43	approximation	approximation	NOUN
ijassa-1585	306	44	rk	rk	NOUN
ijassa-1585	307	1	≈	≈	PROPN
ijassa-1585	307	2	1−	1−	NUM
ijassa-1585	308	1	ln(2−	ln(2−	NOUN
ijassa-1585	308	2	cρ	cρ	PROPN
ijassa-1585	308	3	)	)	PUNCT
ijassa-1585	308	4	ln	ln	ADV
ijassa-1585	308	5	2	2	NUM
ijassa-1585	308	6	.	.	PUNCT
ijassa-1585	309	1	(	(	PUNCT
ijassa-1585	309	2	6.28	6.28	NUM
ijassa-1585	309	3	)	)	PUNCT
ijassa-1585	309	4	copyright	copyright	NOUN
ijassa-1585	309	5	©	©	PROPN
ijassa-1585	309	6	2024	2024	NUM
ijassa-1585	309	7	assa	assa	NOUN
ijassa-1585	309	8	.	.	PUNCT
ijassa-1585	310	1	adv	adv	PROPN
ijassa-1585	310	2	syst	syst	PROPN
ijassa-1585	310	3	sci	sci	PROPN
ijassa-1585	310	4	appl	appl	PROPN
ijassa-1585	310	5	(	(	PUNCT
ijassa-1585	310	6	2024	2024	NUM
ijassa-1585	310	7	)	)	PUNCT
ijassa-1585	310	8	16	16	NUM
ijassa-1585	310	9	a.v	a.v	PROPN
ijassa-1585	310	10	.	.	PROPN
ijassa-1585	310	11	gorbunova	gorbunova	PROPN
ijassa-1585	310	12	,	,	PUNCT
ijassa-1585	310	13	a.v	a.v	PROPN
ijassa-1585	310	14	.	.	PROPN
ijassa-1585	310	15	lebedev	lebedev	PROPN
ijassa-1585	310	16	let	let	VERB
ijassa-1585	310	17	us	we	PRON
ijassa-1585	310	18	analyze	analyze	VERB
ijassa-1585	310	19	the	the	DET
ijassa-1585	310	20	quality	quality	NOUN
ijassa-1585	310	21	of	of	ADP
ijassa-1585	310	22	the	the	DET
ijassa-1585	310	23	approximation	approximation	NOUN
ijassa-1585	310	24	taking	take	VERB
ijassa-1585	310	25	into	into	ADP
ijassa-1585	310	26	account	account	NOUN
ijassa-1585	310	27	the	the	DET
ijassa-1585	310	28	simulation	simulation	NOUN
ijassa-1585	310	29	results	result	VERB
ijassa-1585	310	30	from	from	ADP
ijassa-1585	310	31	[	[	X
ijassa-1585	310	32	11	11	NUM
ijassa-1585	310	33	]	]	PUNCT
ijassa-1585	310	34	.	.	PUNCT
ijassa-1585	311	1	unfortunately	unfortunately	ADV
ijassa-1585	311	2	,	,	PUNCT
ijassa-1585	311	3	at	at	ADP
ijassa-1585	311	4	c	c	NOUN
ijassa-1585	311	5	=	=	SYM
ijassa-1585	311	6	0.37	0.37	NUM
ijassa-1585	311	7	(	(	PUNCT
ijassa-1585	311	8	which	which	PRON
ijassa-1585	311	9	corresponds	correspond	VERB
ijassa-1585	311	10	to	to	ADP
ijassa-1585	311	11	the	the	DET
ijassa-1585	311	12	values	value	NOUN
ijassa-1585	311	13	obtained	obtain	VERB
ijassa-1585	311	14	when	when	SCONJ
ijassa-1585	311	15	estimating	estimate	VERB
ijassa-1585	311	16	the	the	DET
ijassa-1585	311	17	diagonal	diagonal	ADJ
ijassa-1585	311	18	section	section	NOUN
ijassa-1585	311	19	and	and	CCONJ
ijassa-1585	311	20	copula	copula	NOUN
ijassa-1585	311	21	)	)	PUNCT
ijassa-1585	311	22	,	,	PUNCT
ijassa-1585	311	23	the	the	DET
ijassa-1585	311	24	formula	formula	NOUN
ijassa-1585	311	25	gives	give	VERB
ijassa-1585	311	26	overestimated	overestimate	VERB
ijassa-1585	311	27	values	value	NOUN
ijassa-1585	311	28	with	with	ADP
ijassa-1585	311	29	an	an	DET
ijassa-1585	311	30	error	error	NOUN
ijassa-1585	311	31	from	from	ADP
ijassa-1585	311	32	5.19	5.19	NUM
ijassa-1585	311	33	to	to	ADP
ijassa-1585	311	34	7.46	7.46	NUM
ijassa-1585	311	35	%	%	NOUN
ijassa-1585	311	36	.	.	PUNCT
ijassa-1585	312	1	however	however	ADV
ijassa-1585	312	2	,	,	PUNCT
ijassa-1585	312	3	if	if	SCONJ
ijassa-1585	312	4	we	we	PRON
ijassa-1585	312	5	optimize	optimize	VERB
ijassa-1585	312	6	(	(	PUNCT
ijassa-1585	312	7	6.28	6.28	NUM
ijassa-1585	312	8	)	)	PUNCT
ijassa-1585	312	9	over	over	ADP
ijassa-1585	312	10	c	c	NOUN
ijassa-1585	312	11	using	use	VERB
ijassa-1585	312	12	the	the	DET
ijassa-1585	312	13	nelder	nelder	ADJ
ijassa-1585	312	14	-	-	PUNCT
ijassa-1585	312	15	mead	mead	NOUN
ijassa-1585	312	16	method	method	NOUN
ijassa-1585	312	17	based	base	VERB
ijassa-1585	312	18	on	on	ADP
ijassa-1585	312	19	simulation	simulation	NOUN
ijassa-1585	312	20	results	result	NOUN
ijassa-1585	312	21	(	(	PUNCT
ijassa-1585	312	22	as	as	SCONJ
ijassa-1585	312	23	we	we	PRON
ijassa-1585	312	24	did	do	AUX
ijassa-1585	312	25	earlier	early	ADV
ijassa-1585	312	26	)	)	PUNCT
ijassa-1585	312	27	,	,	PUNCT
ijassa-1585	312	28	then	then	ADV
ijassa-1585	312	29	at	at	ADP
ijassa-1585	312	30	the	the	DET
ijassa-1585	312	31	optimal	optimal	ADJ
ijassa-1585	312	32	value	value	NOUN
ijassa-1585	312	33	c	c	PROPN
ijassa-1585	312	34	≈	≈	PROPN
ijassa-1585	312	35	0.349237	0.349237	NUM
ijassa-1585	312	36	(	(	PUNCT
ijassa-1585	312	37	which	which	PRON
ijassa-1585	312	38	is	be	AUX
ijassa-1585	312	39	close	close	ADJ
ijassa-1585	312	40	to	to	ADP
ijassa-1585	312	41	the	the	DET
ijassa-1585	312	42	value	value	NOUN
ijassa-1585	312	43	of	of	ADP
ijassa-1585	312	44	c	c	PROPN
ijassa-1585	312	45	≈	≈	PROPN
ijassa-1585	312	46	0.348284	0.348284	NUM
ijassa-1585	312	47	obtained	obtain	VERB
ijassa-1585	312	48	by	by	ADP
ijassa-1585	312	49	estimating	estimate	VERB
ijassa-1585	312	50	response	response	NOUN
ijassa-1585	312	51	time	time	NOUN
ijassa-1585	312	52	quantiles	quantile	NOUN
ijassa-1585	312	53	)	)	PUNCT
ijassa-1585	312	54	we	we	PRON
ijassa-1585	312	55	obtain	obtain	VERB
ijassa-1585	312	56	an	an	DET
ijassa-1585	312	57	error	error	NOUN
ijassa-1585	312	58	of	of	ADP
ijassa-1585	312	59	only	only	ADV
ijassa-1585	312	60	1.04	1.04	NUM
ijassa-1585	312	61	%	%	NOUN
ijassa-1585	312	62	,	,	PUNCT
ijassa-1585	312	63	which	which	PRON
ijassa-1585	312	64	is	be	AUX
ijassa-1585	312	65	close	close	ADJ
ijassa-1585	312	66	in	in	ADP
ijassa-1585	312	67	quality	quality	NOUN
ijassa-1585	312	68	to	to	ADP
ijassa-1585	312	69	the	the	DET
ijassa-1585	312	70	empirical	empirical	ADJ
ijassa-1585	312	71	approximation	approximation	NOUN
ijassa-1585	312	72	by	by	ADP
ijassa-1585	312	73	the	the	DET
ijassa-1585	312	74	quadratic	quadratic	ADJ
ijassa-1585	312	75	function	function	NOUN
ijassa-1585	312	76	(	(	PUNCT
ijassa-1585	312	77	2.4	2.4	NUM
ijassa-1585	312	78	)	)	PUNCT
ijassa-1585	312	79	,	,	PUNCT
ijassa-1585	312	80	previously	previously	ADV
ijassa-1585	312	81	obtained	obtain	VERB
ijassa-1585	312	82	by	by	ADP
ijassa-1585	312	83	the	the	DET
ijassa-1585	312	84	authors	author	NOUN
ijassa-1585	312	85	in	in	ADP
ijassa-1585	312	86	[	[	X
ijassa-1585	312	87	11	11	NUM
ijassa-1585	312	88	]	]	PUNCT
ijassa-1585	312	89	.	.	PUNCT
ijassa-1585	313	1	the	the	DET
ijassa-1585	313	2	latter	latter	ADJ
ijassa-1585	313	3	option	option	NOUN
ijassa-1585	313	4	therefore	therefore	ADV
ijassa-1585	313	5	represents	represent	VERB
ijassa-1585	313	6	an	an	DET
ijassa-1585	313	7	alternative	alternative	ADJ
ijassa-1585	313	8	approximation	approximation	NOUN
ijassa-1585	313	9	of	of	ADP
ijassa-1585	313	10	the	the	DET
ijassa-1585	313	11	kendall	kendall	PROPN
ijassa-1585	313	12	correlation	correlation	NOUN
ijassa-1585	313	13	coefficient	coefficient	NOUN
ijassa-1585	313	14	.	.	PUNCT
ijassa-1585	314	1	thus	thus	ADV
ijassa-1585	314	2	,	,	PUNCT
ijassa-1585	314	3	copula	copula	ADJ
ijassa-1585	314	4	approximations	approximation	NOUN
ijassa-1585	314	5	should	should	AUX
ijassa-1585	314	6	not	not	PART
ijassa-1585	314	7	always	always	ADV
ijassa-1585	314	8	be	be	AUX
ijassa-1585	314	9	taken	take	VERB
ijassa-1585	314	10	literally	literally	ADV
ijassa-1585	314	11	.	.	PUNCT
ijassa-1585	315	1	they	they	PRON
ijassa-1585	315	2	may	may	AUX
ijassa-1585	315	3	suggest	suggest	VERB
ijassa-1585	315	4	convenient	convenient	ADJ
ijassa-1585	315	5	analytical	analytical	ADJ
ijassa-1585	315	6	expressions	expression	NOUN
ijassa-1585	315	7	for	for	ADP
ijassa-1585	315	8	some	some	DET
ijassa-1585	315	9	characteristics	characteristic	NOUN
ijassa-1585	315	10	,	,	PUNCT
ijassa-1585	315	11	while	while	SCONJ
ijassa-1585	315	12	the	the	DET
ijassa-1585	315	13	parameters	parameter	NOUN
ijassa-1585	315	14	of	of	ADP
ijassa-1585	315	15	these	these	DET
ijassa-1585	315	16	expressions	expression	NOUN
ijassa-1585	315	17	may	may	AUX
ijassa-1585	315	18	require	require	VERB
ijassa-1585	315	19	refinement	refinement	NOUN
ijassa-1585	315	20	through	through	ADP
ijassa-1585	315	21	additional	additional	ADJ
ijassa-1585	315	22	optimization	optimization	NOUN
ijassa-1585	315	23	based	base	VERB
ijassa-1585	315	24	on	on	ADP
ijassa-1585	315	25	actual	actual	ADJ
ijassa-1585	315	26	data	datum	NOUN
ijassa-1585	315	27	.	.	PUNCT
ijassa-1585	316	1	let	let	VERB
ijassa-1585	316	2	us	we	PRON
ijassa-1585	316	3	also	also	ADV
ijassa-1585	316	4	note	note	VERB
ijassa-1585	316	5	the	the	DET
ijassa-1585	316	6	interesting	interesting	ADJ
ijassa-1585	316	7	fact	fact	NOUN
ijassa-1585	316	8	that	that	SCONJ
ijassa-1585	316	9	the	the	DET
ijassa-1585	316	10	formula	formula	NOUN
ijassa-1585	316	11	(	(	PUNCT
ijassa-1585	316	12	6.28	6.28	NUM
ijassa-1585	316	13	)	)	PUNCT
ijassa-1585	316	14	allows	allow	VERB
ijassa-1585	316	15	us	we	PRON
ijassa-1585	316	16	to	to	PART
ijassa-1585	316	17	re	re	VERB
ijassa-1585	316	18	-	-	VERB
ijassa-1585	316	19	estimate	estimate	VERB
ijassa-1585	316	20	the	the	DET
ijassa-1585	316	21	limiting	limit	VERB
ijassa-1585	316	22	value	value	NOUN
ijassa-1585	316	23	of	of	ADP
ijassa-1585	316	24	the	the	DET
ijassa-1585	316	25	kendall	kendall	PROPN
ijassa-1585	316	26	correlation	correlation	NOUN
ijassa-1585	316	27	coefficient	coefficient	NOUN
ijassa-1585	316	28	at	at	ADP
ijassa-1585	316	29	ρ→	ρ→	PROPN
ijassa-1585	316	30	1	1	NUM
ijassa-1585	316	31	.	.	PUNCT
ijassa-1585	317	1	in	in	ADP
ijassa-1585	317	2	[	[	X
ijassa-1585	317	3	11	11	NUM
ijassa-1585	317	4	]	]	PUNCT
ijassa-1585	317	5	,	,	PUNCT
ijassa-1585	317	6	based	base	VERB
ijassa-1585	317	7	on	on	ADP
ijassa-1585	317	8	the	the	DET
ijassa-1585	317	9	(	(	PUNCT
ijassa-1585	317	10	2.4	2.4	NUM
ijassa-1585	317	11	)	)	PUNCT
ijassa-1585	317	12	approximation	approximation	NOUN
ijassa-1585	317	13	,	,	PUNCT
ijassa-1585	317	14	an	an	DET
ijassa-1585	317	15	estimate	estimate	NOUN
ijassa-1585	317	16	of	of	ADP
ijassa-1585	317	17	rk	rk	NOUN
ijassa-1585	317	18	≈	≈	PROPN
ijassa-1585	317	19	0.276	0.276	NUM
ijassa-1585	317	20	was	be	AUX
ijassa-1585	317	21	found	find	VERB
ijassa-1585	317	22	,	,	PUNCT
ijassa-1585	317	23	now	now	ADV
ijassa-1585	317	24	we	we	PRON
ijassa-1585	317	25	obtain	obtain	VERB
ijassa-1585	317	26	a	a	DET
ijassa-1585	317	27	value	value	NOUN
ijassa-1585	317	28	that	that	PRON
ijassa-1585	317	29	coincides	coincide	VERB
ijassa-1585	317	30	with	with	ADP
ijassa-1585	317	31	the	the	DET
ijassa-1585	317	32	previous	previous	ADJ
ijassa-1585	317	33	one	one	NUM
ijassa-1585	317	34	with	with	ADP
ijassa-1585	317	35	an	an	DET
ijassa-1585	317	36	accuracy	accuracy	NOUN
ijassa-1585	317	37	of	of	ADP
ijassa-1585	317	38	three	three	NUM
ijassa-1585	317	39	digits	digit	NOUN
ijassa-1585	317	40	,	,	PUNCT
ijassa-1585	317	41	which	which	PRON
ijassa-1585	317	42	indicates	indicate	VERB
ijassa-1585	317	43	a	a	DET
ijassa-1585	317	44	good	good	ADJ
ijassa-1585	317	45	correspondence	correspondence	NOUN
ijassa-1585	317	46	.	.	PUNCT
ijassa-1585	318	1	as	as	SCONJ
ijassa-1585	318	2	it	it	PRON
ijassa-1585	318	3	turned	turn	VERB
ijassa-1585	318	4	out	out	ADP
ijassa-1585	318	5	during	during	ADP
ijassa-1585	318	6	further	further	ADJ
ijassa-1585	318	7	research	research	NOUN
ijassa-1585	318	8	,	,	PUNCT
ijassa-1585	318	9	the	the	DET
ijassa-1585	318	10	resulting	result	VERB
ijassa-1585	318	11	approximation	approximation	NOUN
ijassa-1585	318	12	(	(	PUNCT
ijassa-1585	318	13	copula	copula	NOUN
ijassa-1585	318	14	and	and	CCONJ
ijassa-1585	318	15	diagonal	diagonal	ADJ
ijassa-1585	318	16	section	section	NOUN
ijassa-1585	318	17	)	)	PUNCT
ijassa-1585	318	18	,	,	PUNCT
ijassa-1585	318	19	unfortunately	unfortunately	ADV
ijassa-1585	318	20	,	,	PUNCT
ijassa-1585	318	21	does	do	AUX
ijassa-1585	318	22	not	not	PART
ijassa-1585	318	23	work	work	VERB
ijassa-1585	318	24	for	for	ADP
ijassa-1585	318	25	estimating	estimate	VERB
ijassa-1585	318	26	the	the	DET
ijassa-1585	318	27	variation	variation	NOUN
ijassa-1585	318	28	(	(	PUNCT
ijassa-1585	318	29	and	and	CCONJ
ijassa-1585	318	30	therefore	therefore	ADV
ijassa-1585	318	31	the	the	DET
ijassa-1585	318	32	standard	standard	ADJ
ijassa-1585	318	33	deviation	deviation	NOUN
ijassa-1585	318	34	)	)	PUNCT
ijassa-1585	318	35	.	.	PUNCT
ijassa-1585	319	1	taking	take	VERB
ijassa-1585	319	2	into	into	ADP
ijassa-1585	319	3	account	account	NOUN
ijassa-1585	319	4	(	(	PUNCT
ijassa-1585	319	5	6.26	6.26	NUM
ijassa-1585	319	6	)	)	PUNCT
ijassa-1585	319	7	,	,	PUNCT
ijassa-1585	319	8	the	the	DET
ijassa-1585	319	9	variation	variation	NOUN
ijassa-1585	319	10	of	of	ADP
ijassa-1585	319	11	the	the	DET
ijassa-1585	319	12	normalized	normalize	VERB
ijassa-1585	319	13	response	response	NOUN
ijassa-1585	319	14	time	time	NOUN
ijassa-1585	319	15	should	should	AUX
ijassa-1585	319	16	decrease	decrease	VERB
ijassa-1585	319	17	with	with	ADP
ijassa-1585	319	18	increasing	increase	VERB
ijassa-1585	319	19	load	load	NOUN
ijassa-1585	319	20	,	,	PUNCT
ijassa-1585	319	21	just	just	ADV
ijassa-1585	319	22	like	like	ADP
ijassa-1585	319	23	the	the	DET
ijassa-1585	319	24	mathematical	mathematical	ADJ
ijassa-1585	319	25	expectation	expectation	NOUN
ijassa-1585	319	26	,	,	PUNCT
ijassa-1585	319	27	but	but	CCONJ
ijassa-1585	319	28	in	in	ADP
ijassa-1585	319	29	fact	fact	NOUN
ijassa-1585	319	30	it	it	PRON
ijassa-1585	319	31	increases	increase	VERB
ijassa-1585	319	32	,	,	PUNCT
ijassa-1585	319	33	according	accord	VERB
ijassa-1585	319	34	to	to	ADP
ijassa-1585	319	35	the	the	DET
ijassa-1585	319	36	simulation	simulation	NOUN
ijassa-1585	319	37	results	result	VERB
ijassa-1585	319	38	[	[	X
ijassa-1585	319	39	10	10	NUM
ijassa-1585	319	40	,	,	PUNCT
ijassa-1585	319	41	14	14	NUM
ijassa-1585	319	42	]	]	PUNCT
ijassa-1585	319	43	,	,	PUNCT
ijassa-1585	319	44	and	and	CCONJ
ijassa-1585	319	45	no	no	DET
ijassa-1585	319	46	c	c	NOUN
ijassa-1585	319	47	>	>	X
ijassa-1585	319	48	0	0	PUNCT
ijassa-1585	320	1	here	here	ADV
ijassa-1585	320	2	fits	fit	VERB
ijassa-1585	320	3	.	.	PUNCT
ijassa-1585	321	1	this	this	PRON
ijassa-1585	321	2	once	once	ADV
ijassa-1585	321	3	again	again	ADV
ijassa-1585	321	4	shows	show	VERB
ijassa-1585	321	5	that	that	SCONJ
ijassa-1585	321	6	the	the	DET
ijassa-1585	321	7	same	same	ADJ
ijassa-1585	321	8	approximation	approximation	NOUN
ijassa-1585	321	9	can	can	AUX
ijassa-1585	321	10	be	be	AUX
ijassa-1585	321	11	good	good	ADJ
ijassa-1585	321	12	for	for	ADP
ijassa-1585	321	13	some	some	DET
ijassa-1585	321	14	purposes	purpose	NOUN
ijassa-1585	321	15	and	and	CCONJ
ijassa-1585	321	16	bad	bad	ADJ
ijassa-1585	321	17	for	for	ADP
ijassa-1585	321	18	others	other	NOUN
ijassa-1585	321	19	,	,	PUNCT
ijassa-1585	321	20	so	so	SCONJ
ijassa-1585	321	21	you	you	PRON
ijassa-1585	321	22	should	should	AUX
ijassa-1585	321	23	be	be	AUX
ijassa-1585	321	24	careful	careful	ADJ
ijassa-1585	321	25	with	with	ADP
ijassa-1585	321	26	this	this	PRON
ijassa-1585	321	27	in	in	ADP
ijassa-1585	321	28	applications	application	NOUN
ijassa-1585	321	29	.	.	PUNCT
ijassa-1585	322	1	7	7	X
ijassa-1585	322	2	.	.	X
ijassa-1585	322	3	conclusion	conclusion	NOUN
ijassa-1585	322	4	this	this	DET
ijassa-1585	322	5	work	work	NOUN
ijassa-1585	322	6	continues	continue	VERB
ijassa-1585	322	7	the	the	DET
ijassa-1585	322	8	author	author	NOUN
ijassa-1585	322	9	’s	’s	PART
ijassa-1585	322	10	series	series	NOUN
ijassa-1585	322	11	devoted	devote	VERB
ijassa-1585	322	12	to	to	ADP
ijassa-1585	322	13	the	the	DET
ijassa-1585	322	14	study	study	NOUN
ijassa-1585	322	15	of	of	ADP
ijassa-1585	322	16	the	the	DET
ijassa-1585	322	17	characteristics	characteristic	NOUN
ijassa-1585	322	18	of	of	ADP
ijassa-1585	322	19	forkjoin	forkjoin	NOUN
ijassa-1585	322	20	systems	system	NOUN
ijassa-1585	322	21	with	with	ADP
ijassa-1585	322	22	a	a	DET
ijassa-1585	322	23	poisson	poisson	NOUN
ijassa-1585	322	24	input	input	NOUN
ijassa-1585	322	25	flow	flow	NOUN
ijassa-1585	322	26	and	and	CCONJ
ijassa-1585	322	27	exponential	exponential	NOUN
ijassa-1585	322	28	service	service	NOUN
ijassa-1585	322	29	times	time	NOUN
ijassa-1585	322	30	.	.	PUNCT
ijassa-1585	323	1	despite	despite	SCONJ
ijassa-1585	323	2	the	the	DET
ijassa-1585	323	3	simplicity	simplicity	NOUN
ijassa-1585	323	4	of	of	ADP
ijassa-1585	323	5	the	the	DET
ijassa-1585	323	6	systems	system	NOUN
ijassa-1585	323	7	and	and	CCONJ
ijassa-1585	323	8	the	the	DET
ijassa-1585	323	9	long	long	ADJ
ijassa-1585	323	10	history	history	NOUN
ijassa-1585	323	11	of	of	ADP
ijassa-1585	323	12	their	their	PRON
ijassa-1585	323	13	research	research	NOUN
ijassa-1585	323	14	(	(	PUNCT
ijassa-1585	323	15	since	since	SCONJ
ijassa-1585	323	16	the	the	DET
ijassa-1585	323	17	1980s	1980s	NUM
ijassa-1585	323	18	)	)	PUNCT
ijassa-1585	323	19	,	,	PUNCT
ijassa-1585	323	20	there	there	PRON
ijassa-1585	323	21	is	be	VERB
ijassa-1585	323	22	still	still	ADV
ijassa-1585	323	23	a	a	DET
ijassa-1585	323	24	lot	lot	NOUN
ijassa-1585	323	25	of	of	ADP
ijassa-1585	323	26	uncertainty	uncertainty	NOUN
ijassa-1585	323	27	in	in	ADP
ijassa-1585	323	28	this	this	DET
ijassa-1585	323	29	area	area	NOUN
ijassa-1585	323	30	.	.	PUNCT
ijassa-1585	324	1	there	there	PRON
ijassa-1585	324	2	are	be	VERB
ijassa-1585	324	3	few	few	ADJ
ijassa-1585	324	4	accurate	accurate	ADJ
ijassa-1585	324	5	results	result	NOUN
ijassa-1585	324	6	here	here	ADV
ijassa-1585	324	7	,	,	PUNCT
ijassa-1585	324	8	and	and	CCONJ
ijassa-1585	324	9	many	many	ADJ
ijassa-1585	324	10	estimates	estimate	NOUN
ijassa-1585	324	11	need	need	VERB
ijassa-1585	324	12	improvement	improvement	NOUN
ijassa-1585	324	13	.	.	PUNCT
ijassa-1585	325	1	there	there	PRON
ijassa-1585	325	2	are	be	VERB
ijassa-1585	325	3	issues	issue	NOUN
ijassa-1585	325	4	that	that	PRON
ijassa-1585	325	5	few	few	ADJ
ijassa-1585	325	6	or	or	CCONJ
ijassa-1585	325	7	no	no	DET
ijassa-1585	325	8	one	one	NOUN
ijassa-1585	325	9	has	have	AUX
ijassa-1585	325	10	dealt	deal	VERB
ijassa-1585	325	11	with	with	ADP
ijassa-1585	325	12	.	.	PUNCT
ijassa-1585	326	1	research	research	NOUN
ijassa-1585	326	2	mainly	mainly	ADV
ijassa-1585	326	3	focuses	focus	VERB
ijassa-1585	326	4	on	on	ADP
ijassa-1585	326	5	average	average	ADJ
ijassa-1585	326	6	response	response	NOUN
ijassa-1585	326	7	time	time	NOUN
ijassa-1585	326	8	,	,	PUNCT
ijassa-1585	326	9	while	while	SCONJ
ijassa-1585	326	10	variance	variance	NOUN
ijassa-1585	326	11	,	,	PUNCT
ijassa-1585	326	12	quantiles	quantile	NOUN
ijassa-1585	326	13	,	,	PUNCT
ijassa-1585	326	14	etc	etc	X
ijassa-1585	326	15	.	.	X
ijassa-1585	326	16	are	be	AUX
ijassa-1585	326	17	also	also	ADV
ijassa-1585	326	18	of	of	ADP
ijassa-1585	326	19	interest	interest	NOUN
ijassa-1585	326	20	.	.	PUNCT
ijassa-1585	327	1	the	the	DET
ijassa-1585	327	2	key	key	ADJ
ijassa-1585	327	3	problem	problem	NOUN
ijassa-1585	327	4	is	be	AUX
ijassa-1585	327	5	the	the	DET
ijassa-1585	327	6	presence	presence	NOUN
ijassa-1585	327	7	of	of	ADP
ijassa-1585	327	8	a	a	DET
ijassa-1585	327	9	relationship	relationship	NOUN
ijassa-1585	327	10	between	between	ADP
ijassa-1585	327	11	the	the	DET
ijassa-1585	327	12	sojourn	sojourn	NOUN
ijassa-1585	327	13	times	time	NOUN
ijassa-1585	327	14	of	of	ADP
ijassa-1585	327	15	subtasks	subtask	NOUN
ijassa-1585	327	16	(	(	PUNCT
ijassa-1585	327	17	parts	part	NOUN
ijassa-1585	327	18	of	of	ADP
ijassa-1585	327	19	one	one	NUM
ijassa-1585	327	20	task	task	NOUN
ijassa-1585	327	21	)	)	PUNCT
ijassa-1585	327	22	,	,	PUNCT
ijassa-1585	327	23	due	due	ADP
ijassa-1585	327	24	to	to	ADP
ijassa-1585	327	25	the	the	DET
ijassa-1585	327	26	commonality	commonality	NOUN
ijassa-1585	327	27	of	of	ADP
ijassa-1585	327	28	the	the	DET
ijassa-1585	327	29	input	input	NOUN
ijassa-1585	327	30	flow	flow	NOUN
ijassa-1585	327	31	into	into	ADP
ijassa-1585	327	32	the	the	DET
ijassa-1585	327	33	subsystems	subsystem	NOUN
ijassa-1585	327	34	.	.	PUNCT
ijassa-1585	328	1	this	this	DET
ijassa-1585	328	2	dependence	dependence	NOUN
ijassa-1585	328	3	,	,	PUNCT
ijassa-1585	328	4	although	although	SCONJ
ijassa-1585	328	5	not	not	PART
ijassa-1585	328	6	very	very	ADV
ijassa-1585	328	7	strong	strong	ADJ
ijassa-1585	328	8	,	,	PUNCT
ijassa-1585	328	9	has	have	VERB
ijassa-1585	328	10	a	a	DET
ijassa-1585	328	11	significant	significant	ADJ
ijassa-1585	328	12	impact	impact	NOUN
ijassa-1585	328	13	on	on	ADP
ijassa-1585	328	14	the	the	DET
ijassa-1585	328	15	characteristics	characteristic	NOUN
ijassa-1585	328	16	,	,	PUNCT
ijassa-1585	328	17	and	and	CCONJ
ijassa-1585	328	18	it	it	PRON
ijassa-1585	328	19	is	be	AUX
ijassa-1585	328	20	far	far	ADV
ijassa-1585	328	21	from	from	ADP
ijassa-1585	328	22	being	be	AUX
ijassa-1585	328	23	described	describe	VERB
ijassa-1585	328	24	by	by	ADP
ijassa-1585	328	25	classical	classical	ADJ
ijassa-1585	328	26	models	model	NOUN
ijassa-1585	328	27	(	(	PUNCT
ijassa-1585	328	28	for	for	ADP
ijassa-1585	328	29	example	example	NOUN
ijassa-1585	328	30	,	,	PUNCT
ijassa-1585	328	31	multivariate	multivariate	VERB
ijassa-1585	328	32	normal	normal	ADJ
ijassa-1585	328	33	distribution	distribution	NOUN
ijassa-1585	328	34	,	,	PUNCT
ijassa-1585	328	35	linear	linear	ADJ
ijassa-1585	328	36	regression	regression	NOUN
ijassa-1585	328	37	,	,	PUNCT
ijassa-1585	328	38	etc	etc	X
ijassa-1585	328	39	.	.	X
ijassa-1585	328	40	)	)	PUNCT
ijassa-1585	328	41	.	.	PUNCT
ijassa-1585	329	1	therefore	therefore	ADV
ijassa-1585	329	2	,	,	PUNCT
ijassa-1585	329	3	the	the	DET
ijassa-1585	329	4	authors	author	NOUN
ijassa-1585	329	5	in	in	ADP
ijassa-1585	329	6	recent	recent	ADJ
ijassa-1585	329	7	works	work	NOUN
ijassa-1585	329	8	have	have	AUX
ijassa-1585	329	9	focused	focus	VERB
ijassa-1585	329	10	on	on	ADP
ijassa-1585	329	11	studying	study	VERB
ijassa-1585	329	12	this	this	DET
ijassa-1585	329	13	dependence	dependence	NOUN
ijassa-1585	329	14	.	.	PUNCT
ijassa-1585	330	1	the	the	DET
ijassa-1585	330	2	case	case	NOUN
ijassa-1585	330	3	of	of	ADP
ijassa-1585	330	4	two	two	NUM
ijassa-1585	330	5	subsystems	subsystem	NOUN
ijassa-1585	330	6	was	be	AUX
ijassa-1585	330	7	considered	consider	VERB
ijassa-1585	330	8	on	on	ADP
ijassa-1585	330	9	the	the	DET
ijassa-1585	330	10	basis	basis	NOUN
ijassa-1585	330	11	that	that	SCONJ
ijassa-1585	330	12	for	for	ADP
ijassa-1585	330	13	any	any	DET
ijassa-1585	330	14	number	number	NOUN
ijassa-1585	330	15	of	of	ADP
ijassa-1585	330	16	subsystems	subsystem	NOUN
ijassa-1585	330	17	,	,	PUNCT
ijassa-1585	330	18	for	for	ADP
ijassa-1585	330	19	any	any	DET
ijassa-1585	330	20	pair	pair	NOUN
ijassa-1585	330	21	of	of	ADP
ijassa-1585	330	22	subsystems	subsystem	NOUN
ijassa-1585	330	23	,	,	PUNCT
ijassa-1585	330	24	the	the	DET
ijassa-1585	330	25	sojourn	sojourn	NOUN
ijassa-1585	330	26	times	time	NOUN
ijassa-1585	330	27	of	of	ADP
ijassa-1585	330	28	subtasks	subtask	NOUN
ijassa-1585	330	29	will	will	AUX
ijassa-1585	330	30	have	have	VERB
ijassa-1585	330	31	the	the	DET
ijassa-1585	330	32	same	same	ADJ
ijassa-1585	330	33	joint	joint	ADJ
ijassa-1585	330	34	distribution	distribution	NOUN
ijassa-1585	330	35	.	.	PUNCT
ijassa-1585	331	1	previous	previous	ADJ
ijassa-1585	331	2	work	work	NOUN
ijassa-1585	331	3	found	find	VERB
ijassa-1585	331	4	the	the	DET
ijassa-1585	331	5	exact	exact	ADJ
ijassa-1585	331	6	values	value	NOUN
ijassa-1585	331	7	of	of	ADP
ijassa-1585	331	8	the	the	DET
ijassa-1585	331	9	pearson	pearson	NOUN
ijassa-1585	331	10	and	and	CCONJ
ijassa-1585	331	11	spearman	spearman	NOUN
ijassa-1585	331	12	correlation	correlation	NOUN
ijassa-1585	331	13	coefficients	coefficient	NOUN
ijassa-1585	331	14	,	,	PUNCT
ijassa-1585	331	15	as	as	ADV
ijassa-1585	331	16	well	well	ADV
ijassa-1585	331	17	as	as	ADP
ijassa-1585	331	18	an	an	DET
ijassa-1585	331	19	estimate	estimate	NOUN
ijassa-1585	331	20	of	of	ADP
ijassa-1585	331	21	the	the	DET
ijassa-1585	331	22	kendall	kendall	PROPN
ijassa-1585	331	23	correlation	correlation	NOUN
ijassa-1585	331	24	coefficient	coefficient	NOUN
ijassa-1585	331	25	.	.	PUNCT
ijassa-1585	332	1	in	in	ADP
ijassa-1585	332	2	this	this	DET
ijassa-1585	332	3	paper	paper	NOUN
ijassa-1585	332	4	,	,	PUNCT
ijassa-1585	332	5	approximations	approximation	NOUN
ijassa-1585	332	6	of	of	ADP
ijassa-1585	332	7	the	the	DET
ijassa-1585	332	8	joint	joint	ADJ
ijassa-1585	332	9	distribution	distribution	NOUN
ijassa-1585	332	10	of	of	ADP
ijassa-1585	332	11	subtask	subtask	NOUN
ijassa-1585	332	12	sojourn	sojourn	PROPN
ijassa-1585	332	13	times	time	NOUN
ijassa-1585	332	14	were	be	AUX
ijassa-1585	332	15	studied	study	VERB
ijassa-1585	332	16	using	use	VERB
ijassa-1585	332	17	copula	copula	NOUN
ijassa-1585	332	18	theory	theory	NOUN
ijassa-1585	332	19	.	.	PUNCT
ijassa-1585	333	1	good	good	ADJ
ijassa-1585	333	2	agreement	agreement	NOUN
ijassa-1585	333	3	with	with	ADP
ijassa-1585	333	4	the	the	DET
ijassa-1585	333	5	data	datum	NOUN
ijassa-1585	333	6	for	for	ADP
ijassa-1585	333	7	power	power	NOUN
ijassa-1585	333	8	-	-	PUNCT
ijassa-1585	333	9	law	law	NOUN
ijassa-1585	333	10	diagonal	diagonal	ADJ
ijassa-1585	333	11	sections	section	NOUN
ijassa-1585	333	12	and	and	CCONJ
ijassa-1585	333	13	the	the	DET
ijassa-1585	333	14	gumbel	gumbel	PROPN
ijassa-1585	333	15	copula	copula	NOUN
ijassa-1585	333	16	is	be	AUX
ijassa-1585	333	17	obtained	obtain	VERB
ijassa-1585	333	18	.	.	PUNCT
ijassa-1585	334	1	based	base	VERB
ijassa-1585	334	2	on	on	ADP
ijassa-1585	334	3	the	the	DET
ijassa-1585	334	4	estimates	estimate	NOUN
ijassa-1585	334	5	of	of	ADP
ijassa-1585	334	6	diagonal	diagonal	ADJ
ijassa-1585	334	7	sections	section	NOUN
ijassa-1585	334	8	,	,	PUNCT
ijassa-1585	334	9	estimates	estimate	NOUN
ijassa-1585	334	10	of	of	ADP
ijassa-1585	334	11	response	response	NOUN
ijassa-1585	334	12	time	time	NOUN
ijassa-1585	334	13	quantiles	quantile	NOUN
ijassa-1585	334	14	are	be	AUX
ijassa-1585	334	15	derived	derive	VERB
ijassa-1585	334	16	over	over	ADP
ijassa-1585	334	17	a	a	DET
ijassa-1585	334	18	wide	wide	ADJ
ijassa-1585	334	19	range	range	NOUN
ijassa-1585	334	20	of	of	ADP
ijassa-1585	334	21	levels	level	NOUN
ijassa-1585	334	22	and	and	CCONJ
ijassa-1585	334	23	loads	load	NOUN
ijassa-1585	334	24	.	.	PUNCT
ijassa-1585	335	1	a	a	DET
ijassa-1585	335	2	new	new	ADJ
ijassa-1585	335	3	estimate	estimate	NOUN
ijassa-1585	335	4	of	of	ADP
ijassa-1585	335	5	the	the	DET
ijassa-1585	335	6	kendall	kendall	PROPN
ijassa-1585	335	7	correlation	correlation	NOUN
ijassa-1585	335	8	coefficient	coefficient	NOUN
ijassa-1585	335	9	was	be	AUX
ijassa-1585	335	10	also	also	ADV
ijassa-1585	335	11	obtained	obtain	VERB
ijassa-1585	335	12	.	.	PUNCT
ijassa-1585	336	1	the	the	DET
ijassa-1585	336	2	developed	develop	VERB
ijassa-1585	336	3	approach	approach	NOUN
ijassa-1585	336	4	,	,	PUNCT
ijassa-1585	336	5	based	base	VERB
ijassa-1585	336	6	on	on	ADP
ijassa-1585	336	7	copula	copula	NOUN
ijassa-1585	336	8	theory	theory	NOUN
ijassa-1585	336	9	,	,	PUNCT
ijassa-1585	336	10	can	can	AUX
ijassa-1585	336	11	be	be	AUX
ijassa-1585	336	12	attempted	attempt	VERB
ijassa-1585	336	13	to	to	PART
ijassa-1585	336	14	be	be	AUX
ijassa-1585	336	15	generalized	generalize	VERB
ijassa-1585	336	16	to	to	ADP
ijassa-1585	336	17	systems	system	NOUN
ijassa-1585	336	18	with	with	ADP
ijassa-1585	336	19	a	a	DET
ijassa-1585	336	20	large	large	ADJ
ijassa-1585	336	21	number	number	NOUN
ijassa-1585	336	22	of	of	ADP
ijassa-1585	336	23	subsystems	subsystem	NOUN
ijassa-1585	336	24	or	or	CCONJ
ijassa-1585	336	25	the	the	DET
ijassa-1585	336	26	case	case	NOUN
ijassa-1585	336	27	of	of	ADP
ijassa-1585	336	28	more	more	ADJ
ijassa-1585	336	29	complex	complex	ADJ
ijassa-1585	336	30	subsystems	subsystem	NOUN
ijassa-1585	336	31	(	(	PUNCT
ijassa-1585	336	32	for	for	ADP
ijassa-1585	336	33	example	example	NOUN
ijassa-1585	336	34	,	,	PUNCT
ijassa-1585	336	35	with	with	ADP
ijassa-1585	336	36	heavy	heavy	ADJ
ijassa-1585	336	37	tails	tail	NOUN
ijassa-1585	336	38	of	of	ADP
ijassa-1585	336	39	service	service	NOUN
ijassa-1585	336	40	time	time	NOUN
ijassa-1585	336	41	distributions	distribution	NOUN
ijassa-1585	336	42	)	)	PUNCT
ijassa-1585	336	43	.	.	PUNCT
ijassa-1585	337	1	copyright	copyright	NOUN
ijassa-1585	337	2	©	©	PROPN
ijassa-1585	337	3	2024	2024	NUM
ijassa-1585	337	4	assa	assa	NOUN
ijassa-1585	337	5	.	.	PUNCT
ijassa-1585	338	1	adv	adv	PROPN
ijassa-1585	338	2	syst	syst	PROPN
ijassa-1585	338	3	sci	sci	PROPN
ijassa-1585	338	4	appl	appl	PROPN
ijassa-1585	338	5	(	(	PUNCT
ijassa-1585	338	6	2024	2024	NUM
ijassa-1585	338	7	)	)	PUNCT
ijassa-1585	338	8	assa	assa	NOUN
ijassa-1585	338	9	latex	latex	NOUN
ijassa-1585	338	10	template	template	NOUN
ijassa-1585	338	11	17	17	NUM
ijassa-1585	338	12	references	reference	NOUN
ijassa-1585	338	13	1	1	NUM
ijassa-1585	338	14	.	.	PUNCT
ijassa-1585	339	1	armony	armony	PROPN
ijassa-1585	339	2	,	,	PUNCT
ijassa-1585	339	3	m.	m.	NOUN
ijassa-1585	339	4	,	,	PUNCT
ijassa-1585	339	5	israelit	israelit	NOUN
ijassa-1585	339	6	,	,	PUNCT
ijassa-1585	339	7	s.	s.	PROPN
ijassa-1585	339	8	,	,	PUNCT
ijassa-1585	339	9	mandelbaum	mandelbaum	PROPN
ijassa-1585	339	10	,	,	PUNCT
ijassa-1585	339	11	a.	a.	NOUN
ijassa-1585	339	12	,	,	PUNCT
ijassa-1585	339	13	marmor	marmor	NOUN
ijassa-1585	339	14	,	,	PUNCT
ijassa-1585	339	15	y.	y.	PROPN
ijassa-1585	339	16	n.	n.	PROPN
ijassa-1585	339	17	,	,	PUNCT
ijassa-1585	339	18	tseytlin	tseytlin	PROPN
ijassa-1585	339	19	,	,	PUNCT
ijassa-1585	339	20	y.	y.	PROPN
ijassa-1585	339	21	,	,	PUNCT
ijassa-1585	339	22	et	et	PROPN
ijassa-1585	339	23	al	al	PROPN
ijassa-1585	339	24	.	.	PUNCT
ijassa-1585	339	25	(	(	PUNCT
ijassa-1585	339	26	2015	2015	NUM
ijassa-1585	339	27	)	)	PUNCT
ijassa-1585	339	28	.	.	PUNCT
ijassa-1585	340	1	on	on	ADP
ijassa-1585	340	2	patient	patient	ADJ
ijassa-1585	340	3	flow	flow	NOUN
ijassa-1585	340	4	in	in	ADP
ijassa-1585	340	5	hospitals	hospital	NOUN
ijassa-1585	340	6	:	:	PUNCT
ijassa-1585	340	7	a	a	DET
ijassa-1585	340	8	data	data	NOUN
ijassa-1585	340	9	-	-	PUNCT
ijassa-1585	340	10	based	base	VERB
ijassa-1585	340	11	queueing	queueing	NOUN
ijassa-1585	340	12	-	-	PUNCT
ijassa-1585	340	13	science	science	NOUN
ijassa-1585	340	14	perspective	perspective	NOUN
ijassa-1585	340	15	,	,	PUNCT
ijassa-1585	340	16	stochastic	stochastic	ADJ
ijassa-1585	340	17	systems	system	NOUN
ijassa-1585	340	18	,	,	PUNCT
ijassa-1585	340	19	5	5	NUM
ijassa-1585	340	20	,	,	PUNCT
ijassa-1585	340	21	146–194	146–194	NUM
ijassa-1585	340	22	.	.	PUNCT
ijassa-1585	340	23	https://doi.org/10.1287/14-ssy153	https://doi.org/10.1287/14-ssy153	PROPN
ijassa-1585	340	24	2	2	NUM
ijassa-1585	340	25	.	.	SYM
ijassa-1585	340	26	atar	atar	PROPN
ijassa-1585	340	27	,	,	PUNCT
ijassa-1585	340	28	r.	r.	PROPN
ijassa-1585	340	29	,	,	PUNCT
ijassa-1585	340	30	mandelbaum	mandelbaum	PROPN
ijassa-1585	340	31	,	,	PUNCT
ijassa-1585	340	32	a.	a.	PROPN
ijassa-1585	340	33	&	&	CCONJ
ijassa-1585	340	34	zviran	zviran	PROPN
ijassa-1585	340	35	,	,	PUNCT
ijassa-1585	340	36	a.	a.	NOUN
ijassa-1585	340	37	(	(	PUNCT
ijassa-1585	340	38	2012	2012	NUM
ijassa-1585	340	39	)	)	PUNCT
ijassa-1585	340	40	.	.	PUNCT
ijassa-1585	341	1	control	control	NOUN
ijassa-1585	341	2	of	of	ADP
ijassa-1585	341	3	fork	fork	NOUN
ijassa-1585	341	4	-	-	PUNCT
ijassa-1585	341	5	join	join	NOUN
ijassa-1585	341	6	networks	network	NOUN
ijassa-1585	341	7	in	in	ADP
ijassa-1585	341	8	heavy	heavy	ADJ
ijassa-1585	341	9	traffic	traffic	NOUN
ijassa-1585	341	10	,	,	PUNCT
ijassa-1585	341	11	proc	proc	NOUN
ijassa-1585	341	12	.	.	PUNCT
ijassa-1585	342	1	of	of	ADP
ijassa-1585	342	2	2012	2012	NUM
ijassa-1585	342	3	50th	50th	ADJ
ijassa-1585	342	4	annual	annual	ADJ
ijassa-1585	342	5	allerton	allerton	PROPN
ijassa-1585	342	6	conference	conference	NOUN
ijassa-1585	342	7	on	on	ADP
ijassa-1585	342	8	communication	communication	NOUN
ijassa-1585	342	9	,	,	PUNCT
ijassa-1585	342	10	control	control	NOUN
ijassa-1585	342	11	,	,	PUNCT
ijassa-1585	342	12	and	and	CCONJ
ijassa-1585	342	13	computing	computing	NOUN
ijassa-1585	342	14	(	(	PUNCT
ijassa-1585	342	15	allerton	allerton	PROPN
ijassa-1585	342	16	,	,	PUNCT
ijassa-1585	342	17	il	il	PROPN
ijassa-1585	342	18	)	)	PUNCT
ijassa-1585	342	19	,	,	PUNCT
ijassa-1585	342	20	823–830	823–830	NUM
ijassa-1585	342	21	.	.	PUNCT
ijassa-1585	343	1	https://doi.org/10.1109/allerton.2012.6483303	https://doi.org/10.1109/allerton.2012.6483303	PROPN
ijassa-1585	343	2	3	3	PROPN
ijassa-1585	343	3	.	.	X
ijassa-1585	343	4	baccelli	baccelli	PROPN
ijassa-1585	343	5	,	,	PUNCT
ijassa-1585	343	6	f.	f.	PROPN
ijassa-1585	343	7	&	&	CCONJ
ijassa-1585	343	8	makowski	makowski	PROPN
ijassa-1585	343	9	,	,	PUNCT
ijassa-1585	343	10	a.	a.	NOUN
ijassa-1585	343	11	m.	m.	NOUN
ijassa-1585	343	12	(	(	PUNCT
ijassa-1585	343	13	1989	1989	NUM
ijassa-1585	343	14	)	)	PUNCT
ijassa-1585	343	15	.	.	PUNCT
ijassa-1585	344	1	queueing	queue	VERB
ijassa-1585	344	2	models	model	NOUN
ijassa-1585	344	3	for	for	ADP
ijassa-1585	344	4	systems	system	NOUN
ijassa-1585	344	5	with	with	ADP
ijassa-1585	344	6	synchronization	synchronization	NOUN
ijassa-1585	344	7	constraints	constraint	NOUN
ijassa-1585	344	8	,	,	PUNCT
ijassa-1585	344	9	in	in	ADP
ijassa-1585	344	10	proceedings	proceeding	NOUN
ijassa-1585	344	11	of	of	ADP
ijassa-1585	344	12	the	the	DET
ijassa-1585	344	13	ieee	ieee	NOUN
ijassa-1585	344	14	,	,	PUNCT
ijassa-1585	344	15	77	77	NUM
ijassa-1585	344	16	,	,	PUNCT
ijassa-1585	344	17	138–161	138–161	NUM
ijassa-1585	344	18	.	.	PUNCT
ijassa-1585	345	1	https://doi.org/10.1109/5.21076	https://doi.org/10.1109/5.21076	NOUN
ijassa-1585	345	2	4	4	NUM
ijassa-1585	345	3	.	.	X
ijassa-1585	345	4	baron	baron	NOUN
ijassa-1585	345	5	,	,	PUNCT
ijassa-1585	345	6	o.	o.	PROPN
ijassa-1585	345	7	,	,	PUNCT
ijassa-1585	345	8	krass	krass	PROPN
ijassa-1585	345	9	,	,	PUNCT
ijassa-1585	345	10	d.	d.	PROPN
ijassa-1585	345	11	,	,	PUNCT
ijassa-1585	345	12	sherzer	sherzer	PROPN
ijassa-1585	345	13	,	,	PUNCT
ijassa-1585	345	14	e.	e.	PROPN
ijassa-1585	345	15	&	&	CCONJ
ijassa-1585	345	16	senderovich	senderovich	PROPN
ijassa-1585	345	17	,	,	PUNCT
ijassa-1585	345	18	a.	a.	NOUN
ijassa-1585	345	19	(	(	PUNCT
ijassa-1585	345	20	2022	2022	NUM
ijassa-1585	345	21	)	)	PUNCT
ijassa-1585	345	22	.	.	PUNCT
ijassa-1585	346	1	can	can	AUX
ijassa-1585	346	2	machines	machine	NOUN
ijassa-1585	346	3	solve	solve	VERB
ijassa-1585	346	4	general	general	ADJ
ijassa-1585	346	5	queueing	queue	VERB
ijassa-1585	346	6	problems	problem	NOUN
ijassa-1585	346	7	?	?	PUNCT
ijassa-1585	346	8	,	,	PUNCT
ijassa-1585	346	9	proc	proc	NOUN
ijassa-1585	346	10	.	.	PUNCT
ijassa-1585	347	1	of	of	ADP
ijassa-1585	347	2	2022	2022	NUM
ijassa-1585	347	3	winter	winter	NOUN
ijassa-1585	347	4	simulation	simulation	NOUN
ijassa-1585	347	5	conference	conference	PROPN
ijassa-1585	347	6	(	(	PUNCT
ijassa-1585	347	7	wsc	wsc	PROPN
ijassa-1585	347	8	)	)	PUNCT
ijassa-1585	347	9	(	(	PUNCT
ijassa-1585	347	10	singapore	singapore	PROPN
ijassa-1585	347	11	)	)	PUNCT
ijassa-1585	347	12	,	,	PUNCT
ijassa-1585	347	13	2830–2841	2830–2841	NUM
ijassa-1585	347	14	.	.	PUNCT
ijassa-1585	348	1	https://doi.org/10.1109/wsc57314.2022.10015451	https://doi.org/10.1109/wsc57314.2022.10015451	NUM
ijassa-1585	348	2	5	5	NUM
ijassa-1585	348	3	.	.	PUNCT
ijassa-1585	348	4	chocron	chocron	PROPN
ijassa-1585	348	5	,	,	PUNCT
ijassa-1585	348	6	e	e	PROPN
ijassa-1585	348	7	..	..	PUNCT
ijassa-1585	348	8	,	,	PUNCT
ijassa-1585	348	9	cohen	cohen	PROPN
ijassa-1585	348	10	,	,	PUNCT
ijassa-1585	348	11	i.	i.	PROPN
ijassa-1585	348	12	&	&	CCONJ
ijassa-1585	348	13	feigin	feigin	PROPN
ijassa-1585	348	14	,	,	PUNCT
ijassa-1585	348	15	p.	p.	NOUN
ijassa-1585	348	16	(	(	PUNCT
ijassa-1585	348	17	2022	2022	NUM
ijassa-1585	348	18	)	)	PUNCT
ijassa-1585	348	19	.	.	PUNCT
ijassa-1585	349	1	delay	delay	NOUN
ijassa-1585	349	2	prediction	prediction	NOUN
ijassa-1585	349	3	for	for	ADP
ijassa-1585	349	4	managing	manage	VERB
ijassa-1585	349	5	multiclass	multiclass	ADJ
ijassa-1585	349	6	service	service	NOUN
ijassa-1585	349	7	systems	system	NOUN
ijassa-1585	349	8	:	:	PUNCT
ijassa-1585	349	9	an	an	DET
ijassa-1585	349	10	investigation	investigation	NOUN
ijassa-1585	349	11	of	of	ADP
ijassa-1585	349	12	queueing	queue	VERB
ijassa-1585	349	13	theory	theory	NOUN
ijassa-1585	349	14	and	and	CCONJ
ijassa-1585	349	15	machine	machine	NOUN
ijassa-1585	349	16	learning	learning	NOUN
ijassa-1585	349	17	approaches	approach	NOUN
ijassa-1585	349	18	,	,	PUNCT
ijassa-1585	349	19	ieee	ieee	NOUN
ijassa-1585	349	20	transactions	transaction	NOUN
ijassa-1585	349	21	on	on	ADP
ijassa-1585	349	22	engineering	engineering	NOUN
ijassa-1585	349	23	management	management	NOUN
ijassa-1585	349	24	,	,	PUNCT
ijassa-1585	349	25	71	71	NUM
ijassa-1585	349	26	,	,	PUNCT
ijassa-1585	349	27	1–11	1–11	PROPN
ijassa-1585	349	28	.	.	PUNCT
ijassa-1585	350	1	https://doi.org/10.1109/tem.2022.3222094	https://doi.org/10.1109/tem.2022.3222094	NOUN
ijassa-1585	350	2	6	6	NUM
ijassa-1585	350	3	.	.	PUNCT
ijassa-1585	351	1	dieleman	dieleman	PROPN
ijassa-1585	351	2	,	,	PUNCT
ijassa-1585	351	3	a.	a.	NOUN
ijassa-1585	351	4	,	,	PUNCT
ijassa-1585	351	5	berkhout	berkhout	NOUN
ijassa-1585	351	6	,	,	PUNCT
ijassa-1585	351	7	j.	j.	PROPN
ijassa-1585	351	8	&	&	CCONJ
ijassa-1585	351	9	heidergott	heidergott	PROPN
ijassa-1585	351	10	,	,	PUNCT
ijassa-1585	351	11	b.	b.	PROPN
ijassa-1585	351	12	(	(	PUNCT
ijassa-1585	351	13	2023	2023	NUM
ijassa-1585	351	14	)	)	PUNCT
ijassa-1585	351	15	.	.	PUNCT
ijassa-1585	352	1	a	a	DET
ijassa-1585	352	2	neural	neural	ADJ
ijassa-1585	352	3	network	network	NOUN
ijassa-1585	352	4	approach	approach	NOUN
ijassa-1585	352	5	to	to	ADP
ijassa-1585	352	6	performance	performance	NOUN
ijassa-1585	352	7	analysis	analysis	NOUN
ijassa-1585	352	8	of	of	ADP
ijassa-1585	352	9	tandem	tandem	NOUN
ijassa-1585	352	10	lines	line	NOUN
ijassa-1585	352	11	:	:	PUNCT
ijassa-1585	352	12	the	the	DET
ijassa-1585	352	13	value	value	NOUN
ijassa-1585	352	14	of	of	ADP
ijassa-1585	352	15	analytical	analytical	ADJ
ijassa-1585	352	16	knowledge	knowledge	NOUN
ijassa-1585	352	17	,	,	PUNCT
ijassa-1585	352	18	computers	computer	NOUN
ijassa-1585	352	19	&	&	CCONJ
ijassa-1585	352	20	operations	operation	NOUN
ijassa-1585	352	21	research	research	NOUN
ijassa-1585	352	22	,	,	PUNCT
ijassa-1585	352	23	152	152	NUM
ijassa-1585	352	24	,	,	PUNCT
ijassa-1585	352	25	106124	106124	NUM
ijassa-1585	352	26	.	.	PUNCT
ijassa-1585	353	1	https://doi.org/10.1016/j.cor.2022.106124	https://doi.org/10.1016/j.cor.2022.106124	PROPN
ijassa-1585	353	2	7	7	X
ijassa-1585	353	3	.	.	X
ijassa-1585	353	4	efrosinin	efrosinin	PROPN
ijassa-1585	353	5	,	,	PUNCT
ijassa-1585	353	6	d.	d.	PROPN
ijassa-1585	353	7	&	&	CCONJ
ijassa-1585	353	8	stepanova	stepanova	PROPN
ijassa-1585	353	9	,	,	PUNCT
ijassa-1585	353	10	n.	n.	NOUN
ijassa-1585	353	11	(	(	PUNCT
ijassa-1585	353	12	2021	2021	NUM
ijassa-1585	353	13	)	)	PUNCT
ijassa-1585	353	14	.	.	PUNCT
ijassa-1585	354	1	estimation	estimation	NOUN
ijassa-1585	354	2	of	of	ADP
ijassa-1585	354	3	the	the	DET
ijassa-1585	354	4	optimal	optimal	ADJ
ijassa-1585	354	5	threshold	threshold	NOUN
ijassa-1585	354	6	policy	policy	NOUN
ijassa-1585	354	7	in	in	ADP
ijassa-1585	354	8	a	a	DET
ijassa-1585	354	9	queue	queue	NOUN
ijassa-1585	354	10	with	with	ADP
ijassa-1585	354	11	heterogeneous	heterogeneous	ADJ
ijassa-1585	354	12	servers	server	NOUN
ijassa-1585	354	13	using	use	VERB
ijassa-1585	354	14	a	a	DET
ijassa-1585	354	15	heuristic	heuristic	ADJ
ijassa-1585	354	16	solution	solution	NOUN
ijassa-1585	354	17	and	and	CCONJ
ijassa-1585	354	18	artificial	artificial	ADJ
ijassa-1585	354	19	neural	neural	ADJ
ijassa-1585	354	20	networks	network	NOUN
ijassa-1585	354	21	,	,	PUNCT
ijassa-1585	354	22	mathematics	mathematic	NOUN
ijassa-1585	354	23	,	,	PUNCT
ijassa-1585	354	24	9	9	NUM
ijassa-1585	354	25	,	,	PUNCT
ijassa-1585	354	26	126	126	NUM
ijassa-1585	354	27	.	.	PUNCT
ijassa-1585	355	1	https://doi.org/10.3390/math9111267	https://doi.org/10.3390/math9111267	PROPN
ijassa-1585	355	2	8	8	NUM
ijassa-1585	355	3	.	.	PUNCT
ijassa-1585	356	1	enganti	enganti	ADJ
ijassa-1585	356	2	,	,	PUNCT
ijassa-1585	356	3	p.	p.	NOUN
ijassa-1585	356	4	,	,	PUNCT
ijassa-1585	356	5	rosenkrantz	rosenkrantz	NOUN
ijassa-1585	356	6	,	,	PUNCT
ijassa-1585	356	7	p.	p.	NOUN
ijassa-1585	356	8	,	,	PUNCT
ijassa-1585	356	9	sun	sun	PROPN
ijassa-1585	356	10	,	,	PUNCT
ijassa-1585	356	11	l.	l.	PROPN
ijassa-1585	356	12	,	,	PUNCT
ijassa-1585	356	13	wang	wang	PROPN
ijassa-1585	356	14	,	,	PUNCT
ijassa-1585	356	15	z.	z.	PROPN
ijassa-1585	356	16	,	,	PUNCT
ijassa-1585	356	17	che	che	PROPN
ijassa-1585	356	18	,	,	PUNCT
ijassa-1585	356	19	h.	h.	PROPN
ijassa-1585	356	20	,	,	PUNCT
ijassa-1585	356	21	et	et	PROPN
ijassa-1585	356	22	al	al	PROPN
ijassa-1585	356	23	.	.	PROPN
ijassa-1585	357	1	(	(	PUNCT
ijassa-1585	357	2	2022	2022	NUM
ijassa-1585	357	3	)	)	PUNCT
ijassa-1585	357	4	.	.	PUNCT
ijassa-1585	358	1	forkmv	forkmv	NOUN
ijassa-1585	358	2	:	:	PUNCT
ijassa-1585	359	1	meanand	meanand	NOUN
ijassa-1585	359	2	-	-	PUNCT
ijassa-1585	359	3	variance	variance	NOUN
ijassa-1585	359	4	estimation	estimation	NOUN
ijassa-1585	359	5	of	of	ADP
ijassa-1585	359	6	fork	fork	NOUN
ijassa-1585	359	7	-	-	PUNCT
ijassa-1585	359	8	join	join	NOUN
ijassa-1585	359	9	queuing	queuing	NOUN
ijassa-1585	359	10	networks	network	NOUN
ijassa-1585	359	11	for	for	ADP
ijassa-1585	359	12	datacenter	datacenter	NOUN
ijassa-1585	359	13	applications	application	NOUN
ijassa-1585	359	14	,	,	PUNCT
ijassa-1585	359	15	proc	proc	NOUN
ijassa-1585	359	16	.	.	PROPN
ijassa-1585	359	17	of	of	ADP
ijassa-1585	359	18	ieee	ieee	PROPN
ijassa-1585	359	19	international	international	ADJ
ijassa-1585	359	20	conference	conference	NOUN
ijassa-1585	359	21	on	on	ADP
ijassa-1585	359	22	networking	networking	NOUN
ijassa-1585	359	23	,	,	PUNCT
ijassa-1585	359	24	architecture	architecture	NOUN
ijassa-1585	359	25	and	and	CCONJ
ijassa-1585	359	26	storage	storage	NOUN
ijassa-1585	359	27	(	(	PUNCT
ijassa-1585	359	28	nas	nas	PROPN
ijassa-1585	359	29	)	)	PUNCT
ijassa-1585	359	30	(	(	PUNCT
ijassa-1585	359	31	philadelphia	philadelphia	PROPN
ijassa-1585	359	32	,	,	PUNCT
ijassa-1585	359	33	pa	pa	PROPN
ijassa-1585	359	34	)	)	PUNCT
ijassa-1585	359	35	,	,	PUNCT
ijassa-1585	359	36	1–8	1–8	X
ijassa-1585	359	37	.	.	PUNCT
ijassa-1585	359	38	https://doi.org/10.1109/nas55553.2022.9925531	https://doi.org/10.1109/nas55553.2022.9925531	PROPN
ijassa-1585	359	39	9	9	NUM
ijassa-1585	359	40	.	.	X
ijassa-1585	359	41	gallien	gallien	PROPN
ijassa-1585	359	42	,	,	PUNCT
ijassa-1585	359	43	j.	j.	PROPN
ijassa-1585	359	44	&	&	CCONJ
ijassa-1585	359	45	wein	wein	PROPN
ijassa-1585	359	46	,	,	PUNCT
ijassa-1585	359	47	l.	l.	PROPN
ijassa-1585	359	48	m.	m.	PROPN
ijassa-1585	359	49	(	(	PUNCT
ijassa-1585	359	50	2001	2001	NUM
ijassa-1585	359	51	)	)	PUNCT
ijassa-1585	359	52	.	.	PUNCT
ijassa-1585	360	1	a	a	DET
ijassa-1585	360	2	simple	simple	ADJ
ijassa-1585	360	3	and	and	CCONJ
ijassa-1585	360	4	effective	effective	ADJ
ijassa-1585	360	5	component	component	NOUN
ijassa-1585	360	6	procurement	procurement	NOUN
ijassa-1585	360	7	policy	policy	NOUN
ijassa-1585	360	8	for	for	ADP
ijassa-1585	360	9	stochastic	stochastic	ADJ
ijassa-1585	360	10	assembly	assembly	NOUN
ijassa-1585	360	11	systems	system	NOUN
ijassa-1585	360	12	,	,	PUNCT
ijassa-1585	360	13	queueing	queue	VERB
ijassa-1585	360	14	systems	system	NOUN
ijassa-1585	360	15	,	,	PUNCT
ijassa-1585	360	16	38	38	NUM
ijassa-1585	360	17	,	,	PUNCT
ijassa-1585	360	18	221–248	221–248	NUM
ijassa-1585	360	19	.	.	PUNCT
ijassa-1585	361	1	https://doi.org/10.1023/a:1010914600116	https://doi.org/10.1023/a:1010914600116	NOUN
ijassa-1585	361	2	10	10	NUM
ijassa-1585	361	3	.	.	PUNCT
ijassa-1585	362	1	gorbunova	gorbunova	PROPN
ijassa-1585	362	2	,	,	PUNCT
ijassa-1585	362	3	a.	a.	PROPN
ijassa-1585	362	4	v.	v.	PROPN
ijassa-1585	362	5	&	&	CCONJ
ijassa-1585	362	6	lebedev	lebedev	PROPN
ijassa-1585	362	7	,	,	PUNCT
ijassa-1585	362	8	a.	a.	PROPN
ijassa-1585	362	9	v.	v.	PROPN
ijassa-1585	362	10	(	(	PUNCT
ijassa-1585	362	11	2023	2023	NUM
ijassa-1585	362	12	)	)	PUNCT
ijassa-1585	362	13	.	.	PUNCT
ijassa-1585	363	1	on	on	ADP
ijassa-1585	363	2	estimating	estimate	VERB
ijassa-1585	363	3	the	the	DET
ijassa-1585	363	4	characteristics	characteristic	NOUN
ijassa-1585	363	5	of	of	ADP
ijassa-1585	363	6	a	a	DET
ijassa-1585	363	7	fork	fork	NOUN
ijassa-1585	363	8	-	-	PUNCT
ijassa-1585	363	9	join	join	NOUN
ijassa-1585	363	10	queueing	queue	VERB
ijassa-1585	363	11	system	system	NOUN
ijassa-1585	363	12	with	with	ADP
ijassa-1585	363	13	poisson	poisson	NOUN
ijassa-1585	363	14	input	input	NOUN
ijassa-1585	363	15	and	and	CCONJ
ijassa-1585	363	16	exponential	exponential	NOUN
ijassa-1585	363	17	service	service	NOUN
ijassa-1585	363	18	times	time	NOUN
ijassa-1585	363	19	,	,	PUNCT
ijassa-1585	363	20	advances	advance	NOUN
ijassa-1585	363	21	in	in	ADP
ijassa-1585	363	22	systems	system	NOUN
ijassa-1585	363	23	science	science	NOUN
ijassa-1585	363	24	and	and	CCONJ
ijassa-1585	363	25	applications	application	NOUN
ijassa-1585	363	26	,	,	PUNCT
ijassa-1585	363	27	23	23	NUM
ijassa-1585	363	28	,	,	PUNCT
ijassa-1585	363	29	99–114	99–114	NUM
ijassa-1585	363	30	.	.	PUNCT
ijassa-1585	364	1	https://doi.org/10.25728/assa.2023.23.2.1351	https://doi.org/10.25728/assa.2023.23.2.1351	NOUN
ijassa-1585	364	2	11	11	NUM
ijassa-1585	364	3	.	.	PUNCT
ijassa-1585	365	1	gorbunova	gorbunova	PROPN
ijassa-1585	365	2	,	,	PUNCT
ijassa-1585	365	3	a.	a.	PROPN
ijassa-1585	365	4	v.	v.	PROPN
ijassa-1585	365	5	&	&	CCONJ
ijassa-1585	365	6	lebedev	lebedev	PROPN
ijassa-1585	365	7	,	,	PUNCT
ijassa-1585	365	8	a.	a.	PROPN
ijassa-1585	365	9	v.	v.	ADP
ijassa-1585	365	10	correlations	correlation	NOUN
ijassa-1585	365	11	of	of	ADP
ijassa-1585	365	12	the	the	DET
ijassa-1585	365	13	sojourn	sojourn	NOUN
ijassa-1585	365	14	times	time	NOUN
ijassa-1585	365	15	of	of	ADP
ijassa-1585	365	16	subtasks	subtask	NOUN
ijassa-1585	365	17	in	in	ADP
ijassa-1585	365	18	fork	fork	NOUN
ijassa-1585	365	19	-	-	PUNCT
ijassa-1585	365	20	join	join	NOUN
ijassa-1585	365	21	queueing	queue	VERB
ijassa-1585	365	22	systems	system	NOUN
ijassa-1585	365	23	with	with	ADP
ijassa-1585	365	24	m	m	PROPN
ijassa-1585	365	25	|m	|m	NOUN
ijassa-1585	365	26	|1	|1	DET
ijassa-1585	365	27	-	-	PUNCT
ijassa-1585	365	28	type	type	NOUN
ijassa-1585	365	29	subsystems	subsystem	NOUN
ijassa-1585	365	30	,	,	PUNCT
ijassa-1585	365	31	[	[	X
ijassa-1585	365	32	under	under	ADP
ijassa-1585	365	33	consideration	consideration	NOUN
ijassa-1585	365	34	]	]	PUNCT
ijassa-1585	365	35	12	12	NUM
ijassa-1585	365	36	.	.	PUNCT
ijassa-1585	365	37	gorbunova	gorbunova	PROPN
ijassa-1585	365	38	,	,	PUNCT
ijassa-1585	365	39	a.	a.	PROPN
ijassa-1585	365	40	v.	v.	PROPN
ijassa-1585	365	41	&	&	CCONJ
ijassa-1585	365	42	lebedev	lebedev	PROPN
ijassa-1585	365	43	,	,	PUNCT
ijassa-1585	365	44	a.	a.	PROPN
ijassa-1585	365	45	v.	v.	PROPN
ijassa-1585	365	46	(	(	PUNCT
ijassa-1585	365	47	2023	2023	NUM
ijassa-1585	365	48	)	)	PUNCT
ijassa-1585	365	49	.	.	PUNCT
ijassa-1585	366	1	nonlinear	nonlinear	ADJ
ijassa-1585	366	2	approximation	approximation	NOUN
ijassa-1585	366	3	of	of	ADP
ijassa-1585	366	4	characteristics	characteristic	NOUN
ijassa-1585	366	5	of	of	ADP
ijassa-1585	366	6	a	a	DET
ijassa-1585	366	7	fork	fork	NOUN
ijassa-1585	366	8	–	–	PUNCT
ijassa-1585	366	9	join	join	VERB
ijassa-1585	366	10	queueing	queue	VERB
ijassa-1585	366	11	system	system	NOUN
ijassa-1585	366	12	with	with	ADP
ijassa-1585	366	13	pareto	pareto	ADJ
ijassa-1585	366	14	service	service	NOUN
ijassa-1585	366	15	as	as	ADP
ijassa-1585	366	16	a	a	DET
ijassa-1585	366	17	model	model	NOUN
ijassa-1585	366	18	of	of	ADP
ijassa-1585	366	19	parallel	parallel	ADJ
ijassa-1585	366	20	structure	structure	NOUN
ijassa-1585	366	21	of	of	ADP
ijassa-1585	366	22	data	datum	NOUN
ijassa-1585	366	23	processing	processing	NOUN
ijassa-1585	366	24	,	,	PUNCT
ijassa-1585	366	25	mathematics	mathematic	NOUN
ijassa-1585	366	26	and	and	CCONJ
ijassa-1585	366	27	computers	computer	NOUN
ijassa-1585	366	28	in	in	ADP
ijassa-1585	366	29	simulation	simulation	NOUN
ijassa-1585	366	30	,	,	PUNCT
ijassa-1585	366	31	214	214	NUM
ijassa-1585	366	32	,	,	PUNCT
ijassa-1585	366	33	409–428	409–428	NUM
ijassa-1585	366	34	.	.	PUNCT
ijassa-1585	367	1	https://doi.org/10.1016/j.matcom.2023.07.029	https://doi.org/10.1016/j.matcom.2023.07.029	PROPN
ijassa-1585	367	2	13	13	NUM
ijassa-1585	367	3	.	.	PUNCT
ijassa-1585	367	4	gorbunova	gorbunova	PROPN
ijassa-1585	367	5	,	,	PUNCT
ijassa-1585	367	6	a.	a.	PROPN
ijassa-1585	367	7	v.	v.	PROPN
ijassa-1585	367	8	&	&	CCONJ
ijassa-1585	367	9	lebedev	lebedev	PROPN
ijassa-1585	367	10	,	,	PUNCT
ijassa-1585	367	11	a.	a.	PROPN
ijassa-1585	367	12	v.	v.	PROPN
ijassa-1585	367	13	(	(	PUNCT
ijassa-1585	367	14	2020	2020	NUM
ijassa-1585	367	15	)	)	PUNCT
ijassa-1585	367	16	.	.	PUNCT
ijassa-1585	368	1	bivariate	bivariate	ADJ
ijassa-1585	368	2	distributions	distribution	NOUN
ijassa-1585	368	3	of	of	ADP
ijassa-1585	368	4	maximum	maximum	ADJ
ijassa-1585	368	5	remaining	remain	VERB
ijassa-1585	368	6	service	service	NOUN
ijassa-1585	368	7	times	time	NOUN
ijassa-1585	368	8	in	in	ADP
ijassa-1585	368	9	fork	fork	NOUN
ijassa-1585	368	10	-	-	PUNCT
ijassa-1585	368	11	join	join	VERB
ijassa-1585	368	12	infinite	infinite	ADJ
ijassa-1585	368	13	-	-	PUNCT
ijassa-1585	368	14	server	server	NOUN
ijassa-1585	368	15	queues	queue	NOUN
ijassa-1585	368	16	,	,	PUNCT
ijassa-1585	368	17	problems	problem	NOUN
ijassa-1585	368	18	of	of	ADP
ijassa-1585	368	19	information	information	NOUN
ijassa-1585	368	20	transmission	transmission	NOUN
ijassa-1585	368	21	,	,	PUNCT
ijassa-1585	368	22	56	56	NUM
ijassa-1585	368	23	,	,	PUNCT
ijassa-1585	368	24	73–90	73–90	NUM
ijassa-1585	368	25	.	.	PUNCT
ijassa-1585	369	1	https://doi.org/10.1134/s003294602001007x	https://doi.org/10.1134/s003294602001007x	PROPN
ijassa-1585	369	2	14	14	NUM
ijassa-1585	369	3	.	.	PUNCT
ijassa-1585	370	1	gorbunova	gorbunova	PROPN
ijassa-1585	370	2	,	,	PUNCT
ijassa-1585	370	3	a.	a.	PROPN
ijassa-1585	370	4	v.	v.	PROPN
ijassa-1585	370	5	&	&	CCONJ
ijassa-1585	370	6	vishnevsky	vishnevsky	PROPN
ijassa-1585	370	7	,	,	PUNCT
ijassa-1585	370	8	v.	v.	ADP
ijassa-1585	370	9	m.	m.	NOUN
ijassa-1585	370	10	(	(	PUNCT
ijassa-1585	370	11	2020	2020	NUM
ijassa-1585	370	12	)	)	PUNCT
ijassa-1585	370	13	.	.	PUNCT
ijassa-1585	371	1	estimating	estimate	VERB
ijassa-1585	371	2	the	the	DET
ijassa-1585	371	3	response	response	NOUN
ijassa-1585	371	4	time	time	NOUN
ijassa-1585	371	5	of	of	ADP
ijassa-1585	371	6	a	a	DET
ijassa-1585	371	7	cloud	cloud	NOUN
ijassa-1585	371	8	computing	compute	VERB
ijassa-1585	371	9	system	system	NOUN
ijassa-1585	371	10	with	with	ADP
ijassa-1585	371	11	the	the	DET
ijassa-1585	371	12	help	help	NOUN
ijassa-1585	371	13	of	of	ADP
ijassa-1585	371	14	neural	neural	ADJ
ijassa-1585	371	15	networks	network	NOUN
ijassa-1585	371	16	,	,	PUNCT
ijassa-1585	371	17	advances	advance	NOUN
ijassa-1585	371	18	in	in	ADP
ijassa-1585	371	19	systems	system	NOUN
ijassa-1585	371	20	science	science	NOUN
ijassa-1585	371	21	and	and	CCONJ
ijassa-1585	371	22	applications	application	NOUN
ijassa-1585	371	23	,	,	PUNCT
ijassa-1585	371	24	20	20	NUM
ijassa-1585	371	25	,	,	PUNCT
ijassa-1585	371	26	105–112	105–112	NUM
ijassa-1585	371	27	.	.	PUNCT
ijassa-1585	372	1	https://doi.org/10.25728/assa.2020.20.3.926	https://doi.org/10.25728/assa.2020.20.3.926	PROPN
ijassa-1585	372	2	15	15	NUM
ijassa-1585	372	3	.	.	PUNCT
ijassa-1585	373	1	gorbunova	gorbunova	PROPN
ijassa-1585	373	2	,	,	PUNCT
ijassa-1585	373	3	a.	a.	PROPN
ijassa-1585	373	4	v.	v.	PROPN
ijassa-1585	373	5	,	,	PUNCT
ijassa-1585	373	6	zaryadov	zaryadov	PROPN
ijassa-1585	373	7	,	,	PUNCT
ijassa-1585	373	8	i.	i.	PROPN
ijassa-1585	373	9	s.	s.	PROPN
ijassa-1585	373	10	,	,	PUNCT
ijassa-1585	373	11	matyushenko	matyushenko	PROPN
ijassa-1585	373	12	,	,	PUNCT
ijassa-1585	373	13	s.	s.	PROPN
ijassa-1585	373	14	i.	i.	PROPN
ijassa-1585	373	15	,	,	PUNCT
ijassa-1585	373	16	samouylov	samouylov	PROPN
ijassa-1585	373	17	,	,	PUNCT
ijassa-1585	373	18	k.	k.	PROPN
ijassa-1585	373	19	e.	e.	PROPN
ijassa-1585	373	20	&	&	CCONJ
ijassa-1585	373	21	shorgin	shorgin	PROPN
ijassa-1585	373	22	,	,	PUNCT
ijassa-1585	373	23	s.	s.	PROPN
ijassa-1585	373	24	ya	ya	PROPN
ijassa-1585	373	25	.	.	PUNCT
ijassa-1585	373	26	(	(	PUNCT
ijassa-1585	373	27	2015	2015	NUM
ijassa-1585	373	28	)	)	PUNCT
ijassa-1585	373	29	.	.	PUNCT
ijassa-1585	374	1	an	an	DET
ijassa-1585	374	2	approximation	approximation	NOUN
ijassa-1585	374	3	of	of	ADP
ijassa-1585	374	4	response	response	NOUN
ijassa-1585	374	5	time	time	NOUN
ijassa-1585	374	6	of	of	ADP
ijassa-1585	374	7	a	a	DET
ijassa-1585	374	8	cloud	cloud	NOUN
ijassa-1585	374	9	computing	computing	NOUN
ijassa-1585	374	10	system	system	NOUN
ijassa-1585	374	11	,	,	PUNCT
ijassa-1585	374	12	informatics	informatic	NOUN
ijassa-1585	374	13	and	and	CCONJ
ijassa-1585	374	14	applications	application	NOUN
ijassa-1585	374	15	,	,	PUNCT
ijassa-1585	374	16	9	9	NUM
ijassa-1585	374	17	,	,	PUNCT
ijassa-1585	374	18	32–38	32–38	NUM
ijassa-1585	374	19	.	.	PUNCT
ijassa-1585	375	1	https://doi.org/10.14357/19922264150304	https://doi.org/10.14357/19922264150304	ADV
ijassa-1585	375	2	16	16	NUM
ijassa-1585	375	3	.	.	PUNCT
ijassa-1585	376	1	gudendorf	gudendorf	PROPN
ijassa-1585	376	2	,	,	PUNCT
ijassa-1585	376	3	g.	g.	PROPN
ijassa-1585	376	4	&	&	CCONJ
ijassa-1585	376	5	segers	seger	NOUN
ijassa-1585	376	6	,	,	PUNCT
ijassa-1585	376	7	j.	j.	PROPN
ijassa-1585	376	8	(	(	PUNCT
ijassa-1585	376	9	2010	2010	NUM
ijassa-1585	376	10	)	)	PUNCT
ijassa-1585	376	11	.	.	PUNCT
ijassa-1585	377	1	extreme	extreme	ADJ
ijassa-1585	377	2	-	-	PUNCT
ijassa-1585	377	3	value	value	NOUN
ijassa-1585	377	4	copulas	copula	NOUN
ijassa-1585	377	5	,	,	PUNCT
ijassa-1585	377	6	in	in	ADP
ijassa-1585	377	7	jaworski	jaworski	PROPN
ijassa-1585	377	8	,	,	PUNCT
ijassa-1585	377	9	p.	p.	PROPN
ijassa-1585	377	10	,	,	PUNCT
ijassa-1585	377	11	durante	durante	PROPN
ijassa-1585	377	12	,	,	PUNCT
ijassa-1585	377	13	f.	f.	PROPN
ijassa-1585	377	14	,	,	PUNCT
ijassa-1585	377	15	härdle	härdle	PROPN
ijassa-1585	377	16	,	,	PUNCT
ijassa-1585	377	17	w.	w.	PROPN
ijassa-1585	377	18	k.	k.	PROPN
ijassa-1585	377	19	&	&	CCONJ
ijassa-1585	377	20	rychlik	rychlik	PROPN
ijassa-1585	377	21	,	,	PUNCT
ijassa-1585	377	22	t.	t.	PROPN
ijassa-1585	377	23	(	(	PUNCT
ijassa-1585	377	24	eds	eds	PROPN
ijassa-1585	377	25	.	.	PUNCT
ijassa-1585	377	26	)	)	PUNCT
ijassa-1585	377	27	copula	copula	NOUN
ijassa-1585	377	28	theory	theory	NOUN
ijassa-1585	377	29	and	and	CCONJ
ijassa-1585	377	30	its	its	PRON
ijassa-1585	377	31	application	application	NOUN
ijassa-1585	377	32	(	(	PUNCT
ijassa-1585	377	33	pp	pp	ADJ
ijassa-1585	377	34	.	.	PUNCT
ijassa-1585	378	1	127–145	127–145	NUM
ijassa-1585	378	2	)	)	PUNCT
ijassa-1585	378	3	.	.	PUNCT
ijassa-1585	379	1	berlin	berlin	PROPN
ijassa-1585	379	2	,	,	PUNCT
ijassa-1585	379	3	germany	germany	PROPN
ijassa-1585	379	4	:	:	PUNCT
ijassa-1585	379	5	springer	springer	NOUN
ijassa-1585	379	6	.	.	PUNCT
ijassa-1585	380	1	copyright	copyright	NOUN
ijassa-1585	380	2	©	©	PROPN
ijassa-1585	380	3	2024	2024	NUM
ijassa-1585	380	4	assa	assa	NOUN
ijassa-1585	380	5	.	.	PUNCT
ijassa-1585	381	1	adv	adv	PROPN
ijassa-1585	381	2	syst	syst	PROPN
ijassa-1585	381	3	sci	sci	PROPN
ijassa-1585	381	4	appl	appl	PROPN
ijassa-1585	381	5	(	(	PUNCT
ijassa-1585	381	6	2024	2024	NUM
ijassa-1585	381	7	)	)	PUNCT
ijassa-1585	381	8	18	18	NUM
ijassa-1585	381	9	a.v	a.v	PROPN
ijassa-1585	381	10	.	.	PROPN
ijassa-1585	381	11	gorbunova	gorbunova	PROPN
ijassa-1585	381	12	,	,	PUNCT
ijassa-1585	381	13	a.v	a.v	PROPN
ijassa-1585	381	14	.	.	PROPN
ijassa-1585	381	15	lebedev	lebedev	PROPN
ijassa-1585	381	16	17	17	NUM
ijassa-1585	381	17	.	.	PUNCT
ijassa-1585	382	1	gupta	gupta	PROPN
ijassa-1585	382	2	,	,	PUNCT
ijassa-1585	382	3	r.	r.	PROPN
ijassa-1585	382	4	d.	d.	PROPN
ijassa-1585	382	5	&	&	CCONJ
ijassa-1585	382	6	kundu	kundu	PROPN
ijassa-1585	382	7	,	,	PUNCT
ijassa-1585	382	8	d.	d.	PROPN
ijassa-1585	382	9	(	(	PUNCT
ijassa-1585	382	10	1999	1999	NUM
ijassa-1585	382	11	)	)	PUNCT
ijassa-1585	382	12	.	.	PUNCT
ijassa-1585	383	1	generalized	generalize	VERB
ijassa-1585	383	2	exponential	exponential	ADJ
ijassa-1585	383	3	distributions	distribution	NOUN
ijassa-1585	383	4	,	,	PUNCT
ijassa-1585	383	5	australian	australian	ADJ
ijassa-1585	383	6	new	new	PROPN
ijassa-1585	383	7	zealand	zealand	PROPN
ijassa-1585	383	8	j.	j.	PROPN
ijassa-1585	383	9	statist	statist	PROPN
ijassa-1585	383	10	,	,	PUNCT
ijassa-1585	383	11	41	41	NUM
ijassa-1585	383	12	,	,	PUNCT
ijassa-1585	383	13	173–188	173–188	NUM
ijassa-1585	383	14	.	.	PUNCT
ijassa-1585	384	1	https://doi.org/10.1080/00949650108812098	https://doi.org/10.1080/00949650108812098	PRON
ijassa-1585	384	2	18	18	NUM
ijassa-1585	384	3	.	.	PUNCT
ijassa-1585	385	1	jiang	jiang	PROPN
ijassa-1585	385	2	,	,	PUNCT
ijassa-1585	385	3	l.	l.	PROPN
ijassa-1585	385	4	&	&	CCONJ
ijassa-1585	385	5	giachetti	giachetti	PROPN
ijassa-1585	385	6	,	,	PUNCT
ijassa-1585	385	7	r.	r.	PROPN
ijassa-1585	385	8	e.	e.	PROPN
ijassa-1585	385	9	(	(	PUNCT
ijassa-1585	385	10	2008	2008	NUM
ijassa-1585	385	11	)	)	PUNCT
ijassa-1585	385	12	.	.	PUNCT
ijassa-1585	386	1	a	a	DET
ijassa-1585	386	2	queueing	queue	VERB
ijassa-1585	386	3	network	network	NOUN
ijassa-1585	386	4	model	model	NOUN
ijassa-1585	386	5	to	to	PART
ijassa-1585	386	6	analyze	analyze	VERB
ijassa-1585	386	7	the	the	DET
ijassa-1585	386	8	impact	impact	NOUN
ijassa-1585	386	9	of	of	ADP
ijassa-1585	386	10	parallelization	parallelization	NOUN
ijassa-1585	386	11	of	of	ADP
ijassa-1585	386	12	care	care	NOUN
ijassa-1585	386	13	on	on	ADP
ijassa-1585	386	14	patient	patient	ADJ
ijassa-1585	386	15	cycle	cycle	NOUN
ijassa-1585	386	16	time	time	NOUN
ijassa-1585	386	17	,	,	PUNCT
ijassa-1585	386	18	health	health	NOUN
ijassa-1585	386	19	care	care	NOUN
ijassa-1585	386	20	management	management	NOUN
ijassa-1585	386	21	science	science	NOUN
ijassa-1585	386	22	,	,	PUNCT
ijassa-1585	386	23	11	11	NUM
ijassa-1585	386	24	,	,	PUNCT
ijassa-1585	386	25	248–261	248–261	NUM
ijassa-1585	386	26	.	.	PROPN
ijassa-1585	386	27	https://doi.org/10.1007/s10729-007-9040-9	https://doi.org/10.1007/s10729-007-9040-9	NUM
ijassa-1585	386	28	19	19	NUM
ijassa-1585	386	29	.	.	PUNCT
ijassa-1585	387	1	kyritsis	kyritsis	PROPN
ijassa-1585	387	2	,	,	PUNCT
ijassa-1585	387	3	a.	a.	PROPN
ijassa-1585	387	4	i.	i.	PROPN
ijassa-1585	387	5	&	&	CCONJ
ijassa-1585	387	6	deriaz	deriaz	PROPN
ijassa-1585	387	7	,	,	PUNCT
ijassa-1585	387	8	a.	a.	NOUN
ijassa-1585	387	9	i.	i.	PROPN
ijassa-1585	387	10	(	(	PUNCT
ijassa-1585	387	11	2019	2019	NUM
ijassa-1585	387	12	)	)	PUNCT
ijassa-1585	387	13	.	.	PUNCT
ijassa-1585	388	1	a	a	DET
ijassa-1585	388	2	machine	machine	NOUN
ijassa-1585	388	3	learning	learn	VERB
ijassa-1585	388	4	approach	approach	NOUN
ijassa-1585	388	5	to	to	ADP
ijassa-1585	388	6	waiting	wait	VERB
ijassa-1585	388	7	time	time	NOUN
ijassa-1585	388	8	prediction	prediction	NOUN
ijassa-1585	388	9	in	in	ADP
ijassa-1585	388	10	queueing	queue	VERB
ijassa-1585	388	11	scenarios	scenario	NOUN
ijassa-1585	388	12	,	,	PUNCT
ijassa-1585	388	13	proc	proc	NOUN
ijassa-1585	388	14	.	.	PUNCT
ijassa-1585	388	15	of	of	ADP
ijassa-1585	388	16	2nd	2nd	ADJ
ijassa-1585	388	17	international	international	ADJ
ijassa-1585	388	18	conference	conference	NOUN
ijassa-1585	388	19	on	on	ADP
ijassa-1585	388	20	artificial	artificial	ADJ
ijassa-1585	388	21	intelligence	intelligence	NOUN
ijassa-1585	388	22	for	for	ADP
ijassa-1585	388	23	industries	industry	NOUN
ijassa-1585	388	24	(	(	PUNCT
ijassa-1585	388	25	ai4i	ai4i	ADV
ijassa-1585	388	26	)	)	PUNCT
ijassa-1585	388	27	(	(	PUNCT
ijassa-1585	388	28	laguna	laguna	PROPN
ijassa-1585	388	29	hills	hills	PROPN
ijassa-1585	388	30	,	,	PUNCT
ijassa-1585	388	31	ca	ca	NOUN
ijassa-1585	388	32	)	)	PUNCT
ijassa-1585	388	33	,	,	PUNCT
ijassa-1585	388	34	17–21	17–21	NUM
ijassa-1585	388	35	.	.	PUNCT
ijassa-1585	388	36	https://doi.org/10.1109/ai4i46381.2019.00013	https://doi.org/10.1109/ai4i46381.2019.00013	PROPN
ijassa-1585	388	37	20	20	NUM
ijassa-1585	388	38	.	.	PUNCT
ijassa-1585	388	39	lebedev	lebedev	PROPN
ijassa-1585	388	40	,	,	PUNCT
ijassa-1585	388	41	a.	a.	PROPN
ijassa-1585	388	42	v.	v.	PROPN
ijassa-1585	388	43	(	(	PUNCT
ijassa-1585	388	44	2019	2019	NUM
ijassa-1585	388	45	)	)	PUNCT
ijassa-1585	388	46	.	.	PUNCT
ijassa-1585	389	1	upper	upper	ADJ
ijassa-1585	389	2	bound	bind	VERB
ijassa-1585	389	3	for	for	ADP
ijassa-1585	389	4	the	the	DET
ijassa-1585	389	5	expected	expect	VERB
ijassa-1585	389	6	minimum	minimum	NOUN
ijassa-1585	389	7	of	of	ADP
ijassa-1585	389	8	dependent	dependent	ADJ
ijassa-1585	389	9	random	random	ADJ
ijassa-1585	389	10	variables	variable	NOUN
ijassa-1585	389	11	with	with	ADP
ijassa-1585	389	12	known	know	VERB
ijassa-1585	389	13	kendall	kendall	PROPN
ijassa-1585	389	14	’s	’s	PART
ijassa-1585	389	15	tau	tau	PROPN
ijassa-1585	389	16	,	,	PUNCT
ijassa-1585	389	17	theory	theory	NOUN
ijassa-1585	389	18	of	of	ADP
ijassa-1585	389	19	probability	probability	NOUN
ijassa-1585	389	20	and	and	CCONJ
ijassa-1585	389	21	its	its	PRON
ijassa-1585	389	22	applications	application	NOUN
ijassa-1585	389	23	,	,	PUNCT
ijassa-1585	389	24	64	64	NUM
ijassa-1585	389	25	,	,	PUNCT
ijassa-1585	389	26	465–473	465–473	NUM
ijassa-1585	389	27	.	.	PUNCT
ijassa-1585	390	1	https://doi.org/10.1137/s0040585x97t989623	https://doi.org/10.1137/s0040585x97t989623	PROPN
ijassa-1585	390	2	21	21	NUM
ijassa-1585	390	3	.	.	PUNCT
ijassa-1585	391	1	lebedev	lebedev	PROPN
ijassa-1585	391	2	,	,	PUNCT
ijassa-1585	391	3	a.	a.	PROPN
ijassa-1585	391	4	v.	v.	PROPN
ijassa-1585	391	5	(	(	PUNCT
ijassa-1585	391	6	2019	2019	NUM
ijassa-1585	391	7	)	)	PUNCT
ijassa-1585	391	8	.	.	PUNCT
ijassa-1585	392	1	on	on	ADP
ijassa-1585	392	2	the	the	DET
ijassa-1585	392	3	interrelation	interrelation	NOUN
ijassa-1585	392	4	between	between	ADP
ijassa-1585	392	5	dependence	dependence	NOUN
ijassa-1585	392	6	coefficients	coefficient	NOUN
ijassa-1585	392	7	of	of	ADP
ijassa-1585	392	8	bivariate	bivariate	ADJ
ijassa-1585	392	9	extreme	extreme	ADJ
ijassa-1585	392	10	value	value	NOUN
ijassa-1585	392	11	copulas	copula	NOUN
ijassa-1585	392	12	,	,	PUNCT
ijassa-1585	392	13	markov	markov	NOUN
ijassa-1585	392	14	processes	process	NOUN
ijassa-1585	392	15	and	and	CCONJ
ijassa-1585	392	16	related	related	ADJ
ijassa-1585	392	17	fields	field	NOUN
ijassa-1585	392	18	,	,	PUNCT
ijassa-1585	392	19	25	25	NUM
ijassa-1585	392	20	,	,	PUNCT
ijassa-1585	392	21	639–648	639–648	NUM
ijassa-1585	392	22	.	.	PUNCT
ijassa-1585	392	23	22	22	NUM
ijassa-1585	392	24	.	.	X
ijassa-1585	392	25	narahari	narahari	PROPN
ijassa-1585	392	26	,	,	PUNCT
ijassa-1585	392	27	y.	y.	PROPN
ijassa-1585	392	28	&	&	CCONJ
ijassa-1585	392	29	sundarrajan	sundarrajan	PROPN
ijassa-1585	392	30	,	,	PUNCT
ijassa-1585	392	31	p.	p.	NOUN
ijassa-1585	392	32	(	(	PUNCT
ijassa-1585	392	33	1995	1995	NUM
ijassa-1585	392	34	)	)	PUNCT
ijassa-1585	392	35	.	.	PUNCT
ijassa-1585	393	1	performability	performability	VERB
ijassa-1585	393	2	analysis	analysis	NOUN
ijassa-1585	393	3	of	of	ADP
ijassa-1585	393	4	fork	fork	NOUN
ijassa-1585	393	5	-	-	PUNCT
ijassa-1585	393	6	join	join	NOUN
ijassa-1585	393	7	queueing	queueing	NOUN
ijassa-1585	393	8	systems	system	NOUN
ijassa-1585	393	9	,	,	PUNCT
ijassa-1585	393	10	the	the	DET
ijassa-1585	393	11	journal	journal	NOUN
ijassa-1585	393	12	of	of	ADP
ijassa-1585	393	13	the	the	DET
ijassa-1585	393	14	operational	operational	ADJ
ijassa-1585	393	15	research	research	NOUN
ijassa-1585	393	16	society	society	NOUN
ijassa-1585	393	17	,	,	PUNCT
ijassa-1585	393	18	46	46	NUM
ijassa-1585	393	19	,	,	PUNCT
ijassa-1585	393	20	1237–1249	1237–1249	NUM
ijassa-1585	393	21	.	.	PUNCT
ijassa-1585	393	22	https://doi.org/10.2307/2584619	https://doi.org/10.2307/2584619	PROPN
ijassa-1585	394	1	23	23	NUM
ijassa-1585	394	2	.	.	PUNCT
ijassa-1585	395	1	nelsen	nelsen	PROPN
ijassa-1585	395	2	,	,	PUNCT
ijassa-1585	395	3	r.	r.	PROPN
ijassa-1585	395	4	(	(	PUNCT
ijassa-1585	395	5	2006	2006	NUM
ijassa-1585	395	6	)	)	PUNCT
ijassa-1585	395	7	.	.	PUNCT
ijassa-1585	396	1	an	an	DET
ijassa-1585	396	2	introduction	introduction	NOUN
ijassa-1585	396	3	to	to	ADP
ijassa-1585	396	4	copulas	copula	NOUN
ijassa-1585	396	5	.	.	PUNCT
ijassa-1585	397	1	berlin	berlin	PROPN
ijassa-1585	397	2	,	,	PUNCT
ijassa-1585	397	3	germany	germany	PROPN
ijassa-1585	397	4	:	:	PUNCT
ijassa-1585	397	5	springer	springer	NOUN
ijassa-1585	397	6	.	.	PUNCT
ijassa-1585	398	1	24	24	NUM
ijassa-1585	398	2	.	.	PUNCT
ijassa-1585	399	1	nelson	nelson	PROPN
ijassa-1585	399	2	,	,	PUNCT
ijassa-1585	399	3	r.	r.	PROPN
ijassa-1585	399	4	&	&	CCONJ
ijassa-1585	399	5	tantawi	tantawi	PROPN
ijassa-1585	399	6	,	,	PUNCT
ijassa-1585	399	7	a.	a.	PROPN
ijassa-1585	399	8	n.	n.	PROPN
ijassa-1585	399	9	(	(	PUNCT
ijassa-1585	399	10	1988	1988	NUM
ijassa-1585	399	11	)	)	PUNCT
ijassa-1585	399	12	.	.	PUNCT
ijassa-1585	400	1	approximate	approximate	ADJ
ijassa-1585	400	2	analysis	analysis	NOUN
ijassa-1585	400	3	of	of	ADP
ijassa-1585	400	4	fork	fork	NOUN
ijassa-1585	400	5	/	/	SYM
ijassa-1585	400	6	join	join	NOUN
ijassa-1585	400	7	synchronization	synchronization	NOUN
ijassa-1585	400	8	in	in	ADP
ijassa-1585	400	9	parallel	parallel	ADJ
ijassa-1585	400	10	queues	queue	NOUN
ijassa-1585	400	11	,	,	PUNCT
ijassa-1585	400	12	ieee	ieee	NOUN
ijassa-1585	400	13	transactions	transaction	NOUN
ijassa-1585	400	14	on	on	ADP
ijassa-1585	400	15	computers	computer	NOUN
ijassa-1585	400	16	,	,	PUNCT
ijassa-1585	400	17	37	37	NUM
ijassa-1585	400	18	,	,	PUNCT
ijassa-1585	400	19	739–743	739–743	NUM
ijassa-1585	400	20	.	.	PUNCT
ijassa-1585	401	1	https://doi.org/10.1109/12.2213	https://doi.org/10.1109/12.2213	NOUN
ijassa-1585	401	2	25	25	NUM
ijassa-1585	401	3	.	.	PUNCT
ijassa-1585	402	1	nguyen	nguyen	NOUN
ijassa-1585	402	2	,	,	PUNCT
ijassa-1585	402	3	m.	m.	NOUN
ijassa-1585	402	4	,	,	PUNCT
ijassa-1585	402	5	alesawi	alesawi	PROPN
ijassa-1585	402	6	,	,	PUNCT
ijassa-1585	402	7	s.	s.	PROPN
ijassa-1585	402	8	,	,	PUNCT
ijassa-1585	402	9	li	li	PROPN
ijassa-1585	402	10	,	,	PUNCT
ijassa-1585	402	11	s.	s.	PROPN
ijassa-1585	402	12	,	,	PUNCT
ijassa-1585	402	13	che	che	PROPN
ijassa-1585	402	14	,	,	PUNCT
ijassa-1585	402	15	h.	h.	PROPN
ijassa-1585	402	16	&	&	CCONJ
ijassa-1585	402	17	jiang	jiang	PROPN
ijassa-1585	402	18	,	,	PUNCT
ijassa-1585	402	19	h.	h.	PROPN
ijassa-1585	402	20	(	(	PUNCT
ijassa-1585	402	21	2018	2018	NUM
ijassa-1585	402	22	)	)	PUNCT
ijassa-1585	402	23	forktail	forktail	NOUN
ijassa-1585	402	24	:	:	PUNCT
ijassa-1585	402	25	a	a	DET
ijassa-1585	402	26	black	black	ADJ
ijassa-1585	402	27	-	-	PUNCT
ijassa-1585	402	28	box	box	NOUN
ijassa-1585	402	29	fork	fork	NOUN
ijassa-1585	402	30	-	-	PUNCT
ijassa-1585	402	31	join	join	NOUN
ijassa-1585	402	32	tail	tail	NOUN
ijassa-1585	402	33	latency	latency	NOUN
ijassa-1585	402	34	prediction	prediction	NOUN
ijassa-1585	402	35	model	model	NOUN
ijassa-1585	402	36	for	for	ADP
ijassa-1585	402	37	user	user	NOUN
ijassa-1585	402	38	-	-	PUNCT
ijassa-1585	402	39	facing	face	VERB
ijassa-1585	402	40	datacenter	datacenter	NOUN
ijassa-1585	402	41	workloads	workload	NOUN
ijassa-1585	402	42	,	,	PUNCT
ijassa-1585	402	43	in	in	ADP
ijassa-1585	402	44	proc	proc	NOUN
ijassa-1585	402	45	.	.	PUNCT
ijassa-1585	402	46	of	of	ADP
ijassa-1585	402	47	27th	27th	ADJ
ijassa-1585	402	48	int	int	NOUN
ijassa-1585	402	49	.	.	PUNCT
ijassa-1585	403	1	symp	symp	PROPN
ijassa-1585	403	2	.	.	PUNCT
ijassa-1585	404	1	high	high	ADJ
ijassa-1585	404	2	-	-	PUNCT
ijassa-1585	404	3	perform	perform	NOUN
ijassa-1585	404	4	.	.	PUNCT
ijassa-1585	405	1	parallel	parallel	ADJ
ijassa-1585	405	2	distrib	distrib	NOUN
ijassa-1585	405	3	.	.	PUNCT
ijassa-1585	406	1	comput	comput	NOUN
ijassa-1585	406	2	.	.	PUNCT
ijassa-1585	407	1	(	(	PUNCT
ijassa-1585	407	2	tempe	tempe	PROPN
ijassa-1585	407	3	,	,	PUNCT
ijassa-1585	407	4	az	az	PROPN
ijassa-1585	407	5	)	)	PUNCT
ijassa-1585	407	6	206–217	206–217	NUM
ijassa-1585	407	7	.	.	PUNCT
ijassa-1585	407	8	https://doi.org/10.1145/3208040.3208058	https://doi.org/10.1145/3208040.3208058	NOUN
ijassa-1585	407	9	26	26	NUM
ijassa-1585	407	10	.	.	PUNCT
ijassa-1585	408	1	nguyen	nguyen	NOUN
ijassa-1585	408	2	,	,	PUNCT
ijassa-1585	408	3	m.	m.	NOUN
ijassa-1585	408	4	,	,	PUNCT
ijassa-1585	408	5	alesawi	alesawi	PROPN
ijassa-1585	408	6	,	,	PUNCT
ijassa-1585	408	7	s.	s.	PROPN
ijassa-1585	408	8	,	,	PUNCT
ijassa-1585	408	9	li	li	PROPN
ijassa-1585	408	10	,	,	PUNCT
ijassa-1585	408	11	n.	n.	NOUN
ijassa-1585	408	12	,	,	PUNCT
ijassa-1585	408	13	che	che	PROPN
ijassa-1585	408	14	,	,	PUNCT
ijassa-1585	408	15	h.	h.	PROPN
ijassa-1585	408	16	&	&	CCONJ
ijassa-1585	408	17	jiang	jiang	PROPN
ijassa-1585	408	18	,	,	PUNCT
ijassa-1585	408	19	h.	h.	PROPN
ijassa-1585	408	20	(	(	PUNCT
ijassa-1585	408	21	2020	2020	NUM
ijassa-1585	408	22	)	)	PUNCT
ijassa-1585	408	23	.	.	PUNCT
ijassa-1585	409	1	a	a	DET
ijassa-1585	409	2	blackbox	blackbox	PROPN
ijassa-1585	409	3	fork	fork	NOUN
ijassa-1585	409	4	-	-	PUNCT
ijassa-1585	409	5	join	join	NOUN
ijassa-1585	409	6	latency	latency	NOUN
ijassa-1585	409	7	prediction	prediction	NOUN
ijassa-1585	409	8	model	model	NOUN
ijassa-1585	409	9	for	for	ADP
ijassa-1585	409	10	data	data	NOUN
ijassa-1585	409	11	-	-	PUNCT
ijassa-1585	409	12	intensive	intensive	ADJ
ijassa-1585	409	13	applications	application	NOUN
ijassa-1585	409	14	,	,	PUNCT
ijassa-1585	409	15	ieee	ieee	NOUN
ijassa-1585	409	16	transactions	transaction	NOUN
ijassa-1585	409	17	on	on	ADP
ijassa-1585	409	18	parallel	parallel	ADJ
ijassa-1585	409	19	and	and	CCONJ
ijassa-1585	409	20	distributed	distributed	ADJ
ijassa-1585	409	21	systems	system	NOUN
ijassa-1585	409	22	,	,	PUNCT
ijassa-1585	409	23	31	31	NUM
ijassa-1585	409	24	,	,	PUNCT
ijassa-1585	409	25	1983–2000	1983–2000	NUM
ijassa-1585	409	26	.	.	PUNCT
ijassa-1585	410	1	https://doi.org/10.1109/tpds.2020.2982137	https://doi.org/10.1109/tpds.2020.2982137	PROPN
ijassa-1585	410	2	27	27	NUM
ijassa-1585	410	3	.	.	PUNCT
ijassa-1585	411	1	palomo	palomo	PROPN
ijassa-1585	411	2	,	,	PUNCT
ijassa-1585	411	3	s.	s.	PROPN
ijassa-1585	411	4	&	&	CCONJ
ijassa-1585	411	5	pender	pender	PROPN
ijassa-1585	411	6	,	,	PUNCT
ijassa-1585	411	7	j.	j.	PROPN
ijassa-1585	411	8	(	(	PUNCT
ijassa-1585	411	9	2021	2021	NUM
ijassa-1585	411	10	)	)	PUNCT
ijassa-1585	411	11	.	.	PUNCT
ijassa-1585	412	1	learning	learn	VERB
ijassa-1585	412	2	the	the	DET
ijassa-1585	412	3	tandem	tandem	PROPN
ijassa-1585	412	4	network	network	PROPN
ijassa-1585	412	5	lindley	lindley	PROPN
ijassa-1585	412	6	recursion	recursion	NOUN
ijassa-1585	412	7	,	,	PUNCT
ijassa-1585	412	8	proc	proc	NOUN
ijassa-1585	412	9	.	.	PUNCT
ijassa-1585	413	1	of	of	ADP
ijassa-1585	413	2	2021	2021	NUM
ijassa-1585	413	3	winter	winter	NOUN
ijassa-1585	413	4	simulation	simulation	NOUN
ijassa-1585	413	5	conference	conference	PROPN
ijassa-1585	413	6	(	(	PUNCT
ijassa-1585	413	7	wsc	wsc	PROPN
ijassa-1585	413	8	)	)	PUNCT
ijassa-1585	413	9	(	(	PUNCT
ijassa-1585	413	10	phoenix	phoenix	PROPN
ijassa-1585	413	11	,	,	PUNCT
ijassa-1585	413	12	az	az	PROPN
ijassa-1585	413	13	)	)	PUNCT
ijassa-1585	413	14	,	,	PUNCT
ijassa-1585	413	15	1–12	1–12	PROPN
ijassa-1585	413	16	.	.	PUNCT
ijassa-1585	413	17	https://doi.org/10.1109/wsc52266.2021.971553	https://doi.org/10.1109/wsc52266.2021.971553	PROPN
ijassa-1585	413	18	28	28	NUM
ijassa-1585	413	19	.	.	PUNCT
ijassa-1585	414	1	pender	pender	PROPN
ijassa-1585	414	2	,	,	PUNCT
ijassa-1585	414	3	j.	j.	PROPN
ijassa-1585	414	4	&	&	CCONJ
ijassa-1585	414	5	zhang	zhang	PROPN
ijassa-1585	414	6	,	,	PUNCT
ijassa-1585	414	7	e.	e.	PROPN
ijassa-1585	414	8	(	(	PUNCT
ijassa-1585	414	9	2021	2021	NUM
ijassa-1585	414	10	)	)	PUNCT
ijassa-1585	414	11	.	.	PUNCT
ijassa-1585	415	1	uniting	unite	VERB
ijassa-1585	415	2	simulation	simulation	NOUN
ijassa-1585	415	3	and	and	CCONJ
ijassa-1585	415	4	machine	machine	NOUN
ijassa-1585	415	5	learning	learn	VERB
ijassa-1585	415	6	for	for	ADP
ijassa-1585	415	7	response	response	NOUN
ijassa-1585	415	8	time	time	NOUN
ijassa-1585	415	9	prediction	prediction	NOUN
ijassa-1585	415	10	in	in	ADP
ijassa-1585	415	11	processor	processor	NOUN
ijassa-1585	415	12	sharing	sharing	NOUN
ijassa-1585	415	13	queues	queue	NOUN
ijassa-1585	415	14	,	,	PUNCT
ijassa-1585	415	15	proc	proc	NOUN
ijassa-1585	415	16	.	.	PUNCT
ijassa-1585	416	1	of	of	ADP
ijassa-1585	416	2	2021	2021	NUM
ijassa-1585	416	3	winter	winter	NOUN
ijassa-1585	416	4	simulation	simulation	NOUN
ijassa-1585	416	5	conference	conference	PROPN
ijassa-1585	416	6	(	(	PUNCT
ijassa-1585	416	7	wsc	wsc	PROPN
ijassa-1585	416	8	)	)	PUNCT
ijassa-1585	416	9	(	(	PUNCT
ijassa-1585	416	10	phoenix	phoenix	PROPN
ijassa-1585	416	11	,	,	PUNCT
ijassa-1585	416	12	az	az	PROPN
ijassa-1585	416	13	)	)	PUNCT
ijassa-1585	416	14	,	,	PUNCT
ijassa-1585	416	15	1–12	1–12	PROPN
ijassa-1585	416	16	https://doi.org/10.1109/wsc52266.2021.9715461	https://doi.org/10.1109/wsc52266.2021.9715461	NUM
ijassa-1585	416	17	29	29	NUM
ijassa-1585	416	18	.	.	PUNCT
ijassa-1585	417	1	qiu	qiu	PROPN
ijassa-1585	417	2	,	,	PUNCT
ijassa-1585	417	3	zh	zh	PROPN
ijassa-1585	417	4	.	.	PROPN
ijassa-1585	417	5	,	,	PUNCT
ijassa-1585	417	6	perez	perez	PROPN
ijassa-1585	417	7	,	,	PUNCT
ijassa-1585	417	8	j.	j.	PROPN
ijassa-1585	417	9	f.	f.	PROPN
ijassa-1585	417	10	&	&	CCONJ
ijassa-1585	417	11	harrison	harrison	PROPN
ijassa-1585	417	12	,	,	PUNCT
ijassa-1585	417	13	p.	p.	NOUN
ijassa-1585	417	14	g.	g.	PROPN
ijassa-1585	418	1	(	(	PUNCT
ijassa-1585	418	2	2015	2015	NUM
ijassa-1585	418	3	)	)	PUNCT
ijassa-1585	418	4	.	.	PUNCT
ijassa-1585	419	1	beyond	beyond	ADP
ijassa-1585	419	2	the	the	DET
ijassa-1585	419	3	mean	mean	NOUN
ijassa-1585	419	4	in	in	ADP
ijassa-1585	419	5	fork	fork	NOUN
ijassa-1585	419	6	-	-	PUNCT
ijassa-1585	419	7	join	join	NOUN
ijassa-1585	419	8	queues	queue	NOUN
ijassa-1585	419	9	:	:	PUNCT
ijassa-1585	419	10	efficient	efficient	ADJ
ijassa-1585	419	11	approximation	approximation	NOUN
ijassa-1585	419	12	for	for	ADP
ijassa-1585	419	13	response	response	NOUN
ijassa-1585	419	14	-	-	PUNCT
ijassa-1585	419	15	time	time	NOUN
ijassa-1585	419	16	tails	tail	NOUN
ijassa-1585	419	17	,	,	PUNCT
ijassa-1585	419	18	performance	performance	NOUN
ijassa-1585	419	19	evaluation	evaluation	NOUN
ijassa-1585	419	20	,	,	PUNCT
ijassa-1585	419	21	91	91	NUM
ijassa-1585	419	22	,	,	PUNCT
ijassa-1585	419	23	99–116	99–116	PROPN
ijassa-1585	419	24	.	.	PUNCT
ijassa-1585	420	1	https://doi.org/10.1016/j.peva.2015.06.007	https://doi.org/10.1016/j.peva.2015.06.007	PROPN
ijassa-1585	420	2	30	30	NUM
ijassa-1585	420	3	.	.	PUNCT
ijassa-1585	421	1	reinsel	reinsel	NOUN
ijassa-1585	421	2	,	,	PUNCT
ijassa-1585	421	3	d.	d.	PROPN
ijassa-1585	421	4	,	,	PUNCT
ijassa-1585	421	5	gantz	gantz	PROPN
ijassa-1585	421	6	,	,	PUNCT
ijassa-1585	421	7	j.	j.	PROPN
ijassa-1585	421	8	&	&	CCONJ
ijassa-1585	421	9	rydning	rydning	PROPN
ijassa-1585	421	10	,	,	PUNCT
ijassa-1585	421	11	j.	j.	PROPN
ijassa-1585	421	12	(	(	PUNCT
ijassa-1585	421	13	2018	2018	NUM
ijassa-1585	421	14	)	)	PUNCT
ijassa-1585	421	15	.	.	PUNCT
ijassa-1585	422	1	idc	idc	PROPN
ijassa-1585	422	2	report	report	PROPN
ijassa-1585	422	3	:	:	PUNCT
ijassa-1585	422	4	the	the	DET
ijassa-1585	422	5	digitization	digitization	NOUN
ijassa-1585	422	6	of	of	ADP
ijassa-1585	422	7	the	the	DET
ijassa-1585	422	8	world	world	NOUN
ijassa-1585	422	9	from	from	ADP
ijassa-1585	422	10	edge	edge	NOUN
ijassa-1585	422	11	to	to	ADP
ijassa-1585	422	12	core	core	NOUN
ijassa-1585	422	13	,	,	PUNCT
ijassa-1585	422	14	[	[	X
ijassa-1585	422	15	online	online	X
ijassa-1585	422	16	]	]	X
ijassa-1585	422	17	.	.	PUNCT
ijassa-1585	423	1	available	available	ADJ
ijassa-1585	423	2	:	:	PUNCT
ijassa-1585	423	3	https://www.seagate.com/files/wwwcontent/our-story/trends/files/idc-seagate-dataage-whitepaper.pdf	https://www.seagate.com/files/wwwcontent/our-story/trends/files/idc-seagate-dataage-whitepaper.pdf	NOUN
ijassa-1585	423	4	31	31	NUM
ijassa-1585	423	5	.	.	PUNCT
ijassa-1585	424	1	rizk	rizk	PROPN
ijassa-1585	424	2	,	,	PUNCT
ijassa-1585	424	3	a.	a.	NOUN
ijassa-1585	424	4	,	,	PUNCT
ijassa-1585	424	5	poloczek	poloczek	NOUN
ijassa-1585	424	6	,	,	PUNCT
ijassa-1585	424	7	f.	f.	PROPN
ijassa-1585	424	8	&	&	CCONJ
ijassa-1585	424	9	ciucu	ciucu	PROPN
ijassa-1585	424	10	,	,	PUNCT
ijassa-1585	424	11	f.	f.	PROPN
ijassa-1585	424	12	(	(	PUNCT
ijassa-1585	424	13	2016	2016	NUM
ijassa-1585	424	14	)	)	PUNCT
ijassa-1585	424	15	.	.	PUNCT
ijassa-1585	425	1	stochastic	stochastic	ADJ
ijassa-1585	425	2	bounds	bound	NOUN
ijassa-1585	425	3	in	in	ADP
ijassa-1585	425	4	fork	fork	NOUN
ijassa-1585	425	5	-	-	PUNCT
ijassa-1585	425	6	join	join	NOUN
ijassa-1585	425	7	queueing	queue	VERB
ijassa-1585	425	8	systems	system	NOUN
ijassa-1585	425	9	under	under	ADP
ijassa-1585	425	10	full	full	ADJ
ijassa-1585	425	11	and	and	CCONJ
ijassa-1585	425	12	partial	partial	ADJ
ijassa-1585	425	13	mapping	mapping	NOUN
ijassa-1585	425	14	,	,	PUNCT
ijassa-1585	425	15	queueing	queue	VERB
ijassa-1585	425	16	systems	system	NOUN
ijassa-1585	425	17	,	,	PUNCT
ijassa-1585	425	18	83	83	NUM
ijassa-1585	425	19	,	,	PUNCT
ijassa-1585	425	20	261–291	261–291	NUM
ijassa-1585	425	21	.	.	PUNCT
ijassa-1585	426	1	https://doi.org/10.1007/s11134-016-9486-x	https://doi.org/10.1007/s11134-016-9486-x	PROPN
ijassa-1585	426	2	32	32	NUM
ijassa-1585	426	3	.	.	PUNCT
ijassa-1585	426	4	schol	schol	PROPN
ijassa-1585	426	5	,	,	PUNCT
ijassa-1585	426	6	d.	d.	PROPN
ijassa-1585	426	7	,	,	PUNCT
ijassa-1585	426	8	vlasiou	vlasiou	NOUN
ijassa-1585	426	9	,	,	PUNCT
ijassa-1585	426	10	m.	m.	NOUN
ijassa-1585	426	11	&	&	CCONJ
ijassa-1585	426	12	zwart	zwart	PROPN
ijassa-1585	426	13	,	,	PUNCT
ijassa-1585	426	14	m.	m.	NOUN
ijassa-1585	426	15	(	(	PUNCT
ijassa-1585	426	16	2022	2022	NUM
ijassa-1585	426	17	)	)	PUNCT
ijassa-1585	426	18	.	.	PUNCT
ijassa-1585	427	1	large	large	ADJ
ijassa-1585	427	2	fork	fork	NOUN
ijassa-1585	427	3	-	-	PUNCT
ijassa-1585	427	4	join	join	NOUN
ijassa-1585	427	5	queues	queue	NOUN
ijassa-1585	427	6	with	with	ADP
ijassa-1585	427	7	nearly	nearly	ADV
ijassa-1585	427	8	deterministic	deterministic	ADJ
ijassa-1585	427	9	arrival	arrival	NOUN
ijassa-1585	427	10	and	and	CCONJ
ijassa-1585	427	11	service	service	NOUN
ijassa-1585	427	12	times	time	NOUN
ijassa-1585	427	13	,	,	PUNCT
ijassa-1585	427	14	mathematics	mathematic	NOUN
ijassa-1585	427	15	of	of	ADP
ijassa-1585	427	16	operations	operation	NOUN
ijassa-1585	427	17	research	research	NOUN
ijassa-1585	427	18	,	,	PUNCT
ijassa-1585	427	19	47	47	NUM
ijassa-1585	427	20	,	,	PUNCT
ijassa-1585	427	21	1335–1364	1335–1364	NUM
ijassa-1585	427	22	.	.	PUNCT
ijassa-1585	428	1	https://doi.org/10.1287/moor.2021.1171	https://doi.org/10.1287/moor.2021.1171	PROPN
ijassa-1585	428	2	33	33	NUM
ijassa-1585	428	3	.	.	PUNCT
ijassa-1585	429	1	thapa	thapa	PROPN
ijassa-1585	429	2	,	,	PUNCT
ijassa-1585	429	3	s.	s.	PROPN
ijassa-1585	429	4	&	&	CCONJ
ijassa-1585	429	5	zhao	zhao	PROPN
ijassa-1585	429	6	,	,	PUNCT
ijassa-1585	429	7	y.	y.	PROPN
ijassa-1585	429	8	q.	q.	PROPN
ijassa-1585	429	9	(	(	PUNCT
ijassa-1585	429	10	2021	2021	NUM
ijassa-1585	429	11	)	)	PUNCT
ijassa-1585	429	12	construction	construction	NOUN
ijassa-1585	429	13	of	of	ADP
ijassa-1585	429	14	new	new	ADJ
ijassa-1585	429	15	copulas	copula	NOUN
ijassa-1585	429	16	with	with	ADP
ijassa-1585	429	17	queueing	queue	VERB
ijassa-1585	429	18	application	application	NOUN
ijassa-1585	429	19	.	.	PUNCT
ijassa-1585	430	1	arxiv	arxiv	NOUN
ijassa-1585	430	2	:	:	PUNCT
ijassa-1585	430	3	2101.12401	2101.12401	NUM
ijassa-1585	430	4	,	,	PUNCT
ijassa-1585	430	5	[	[	X
ijassa-1585	430	6	online	online	X
ijassa-1585	430	7	]	]	X
ijassa-1585	430	8	.	.	PUNCT
ijassa-1585	431	1	available	available	ADJ
ijassa-1585	431	2	:	:	PUNCT
ijassa-1585	431	3	https://arxiv.org/abs/2101.12401	https://arxiv.org/abs/2101.12401	NOUN
ijassa-1585	431	4	34	34	NUM
ijassa-1585	431	5	.	.	PUNCT
ijassa-1585	432	1	vianna	vianna	PROPN
ijassa-1585	432	2	,	,	PUNCT
ijassa-1585	432	3	e.	e.	PROPN
ijassa-1585	432	4	,	,	PUNCT
ijassa-1585	432	5	comarela	comarela	PROPN
ijassa-1585	432	6	,	,	PUNCT
ijassa-1585	432	7	e.	e.	PROPN
ijassa-1585	432	8	,	,	PUNCT
ijassa-1585	432	9	pontes	pons	NOUN
ijassa-1585	432	10	,	,	PUNCT
ijassa-1585	432	11	t.	t.	PROPN
ijassa-1585	432	12	,	,	PUNCT
ijassa-1585	432	13	almeida	almeida	PROPN
ijassa-1585	432	14	,	,	PUNCT
ijassa-1585	432	15	j.	j.	PROPN
ijassa-1585	432	16	,	,	PUNCT
ijassa-1585	432	17	almeida	almeida	PROPN
ijassa-1585	432	18	,	,	PUNCT
ijassa-1585	432	19	v.	v.	PROPN
ijassa-1585	432	20	,	,	PUNCT
ijassa-1585	432	21	et	et	PROPN
ijassa-1585	432	22	al	al	PROPN
ijassa-1585	432	23	.	.	PROPN
ijassa-1585	432	24	(	(	PUNCT
ijassa-1585	432	25	2013	2013	NUM
ijassa-1585	432	26	)	)	PUNCT
ijassa-1585	432	27	.	.	PUNCT
ijassa-1585	433	1	analytical	analytical	ADJ
ijassa-1585	433	2	performance	performance	NOUN
ijassa-1585	433	3	models	model	NOUN
ijassa-1585	433	4	for	for	ADP
ijassa-1585	433	5	mapreduce	mapreduce	NOUN
ijassa-1585	433	6	workloads	workload	NOUN
ijassa-1585	433	7	,	,	PUNCT
ijassa-1585	433	8	international	international	ADJ
ijassa-1585	433	9	journal	journal	NOUN
ijassa-1585	433	10	of	of	ADP
ijassa-1585	433	11	parallel	parallel	ADJ
ijassa-1585	433	12	programming	programming	NOUN
ijassa-1585	433	13	,	,	PUNCT
ijassa-1585	433	14	41(4	41(4	NUM
ijassa-1585	433	15	)	)	PUNCT
ijassa-1585	433	16	,	,	PUNCT
ijassa-1585	433	17	495–525	495–525	NUM
ijassa-1585	433	18	.	.	PUNCT
ijassa-1585	434	1	https://doi.org/10.1007/s10766-012-0227-4	https://doi.org/10.1007/s10766-012-0227-4	PROPN
ijassa-1585	434	2	copyright	copyright	NOUN
ijassa-1585	434	3	©	©	ADP
ijassa-1585	434	4	2024	2024	NUM
ijassa-1585	434	5	assa	assa	NOUN
ijassa-1585	434	6	.	.	PUNCT
ijassa-1585	435	1	adv	adv	PROPN
ijassa-1585	435	2	syst	syst	PROPN
ijassa-1585	435	3	sci	sci	PROPN
ijassa-1585	435	4	appl	appl	PROPN
ijassa-1585	435	5	(	(	PUNCT
ijassa-1585	435	6	2024	2024	NUM
ijassa-1585	435	7	)	)	PUNCT
ijassa-1585	435	8	assa	assa	NOUN
ijassa-1585	435	9	latex	latex	NOUN
ijassa-1585	435	10	template	template	NOUN
ijassa-1585	435	11	19	19	NUM
ijassa-1585	435	12	35	35	NUM
ijassa-1585	435	13	.	.	PUNCT
ijassa-1585	436	1	vishnevsky	vishnevsky	ADJ
ijassa-1585	436	2	,	,	PUNCT
ijassa-1585	436	3	v.	v.	ADP
ijassa-1585	436	4	m.	m.	PROPN
ijassa-1585	436	5	&	&	CCONJ
ijassa-1585	436	6	gorbunova	gorbunova	PROPN
ijassa-1585	436	7	,	,	PUNCT
ijassa-1585	436	8	a.	a.	PROPN
ijassa-1585	436	9	v.	v.	PROPN
ijassa-1585	436	10	(	(	PUNCT
ijassa-1585	436	11	2022	2022	NUM
ijassa-1585	436	12	)	)	PUNCT
ijassa-1585	436	13	.	.	PUNCT
ijassa-1585	437	1	application	application	NOUN
ijassa-1585	437	2	of	of	ADP
ijassa-1585	437	3	machine	machine	NOUN
ijassa-1585	437	4	learning	learn	VERB
ijassa-1585	437	5	methods	method	NOUN
ijassa-1585	437	6	to	to	ADP
ijassa-1585	437	7	solving	solve	VERB
ijassa-1585	437	8	problems	problem	NOUN
ijassa-1585	437	9	of	of	ADP
ijassa-1585	437	10	queuing	queue	VERB
ijassa-1585	437	11	theory	theory	NOUN
ijassa-1585	437	12	,	,	PUNCT
ijassa-1585	437	13	communications	communication	NOUN
ijassa-1585	437	14	in	in	ADP
ijassa-1585	437	15	computer	computer	NOUN
ijassa-1585	437	16	and	and	CCONJ
ijassa-1585	437	17	information	information	NOUN
ijassa-1585	437	18	science	science	NOUN
ijassa-1585	437	19	,	,	PUNCT
ijassa-1585	437	20	1605	1605	NUM
ijassa-1585	437	21	,	,	PUNCT
ijassa-1585	437	22	304–316	304–316	NUM
ijassa-1585	437	23	.	.	PUNCT
ijassa-1585	438	1	https://doi.org/10.1007/978-3-031-09331-9	https://doi.org/10.1007/978-3-031-09331-9	PROPN
ijassa-1585	438	2	24	24	NUM
ijassa-1585	438	3	36	36	NUM
ijassa-1585	438	4	.	.	PUNCT
ijassa-1585	439	1	weisstein	weisstein	PROPN
ijassa-1585	439	2	,	,	PUNCT
ijassa-1585	439	3	e.	e.	PROPN
ijassa-1585	439	4	w.	w.	PROPN
ijassa-1585	439	5	(	(	PUNCT
ijassa-1585	439	6	2024	2024	NUM
ijassa-1585	439	7	)	)	PUNCT
ijassa-1585	439	8	digamma	digamma	NOUN
ijassa-1585	439	9	function	function	NOUN
ijassa-1585	439	10	–	–	PUNCT
ijassa-1585	439	11	from	from	ADP
ijassa-1585	439	12	wolfram	wolfram	PROPN
ijassa-1585	439	13	mathworld	mathworld	PROPN
ijassa-1585	439	14	,	,	PUNCT
ijassa-1585	439	15	[	[	X
ijassa-1585	439	16	online	online	X
ijassa-1585	439	17	]	]	X
ijassa-1585	439	18	.	.	PUNCT
ijassa-1585	440	1	available	available	ADJ
ijassa-1585	440	2	:	:	PUNCT
ijassa-1585	440	3	https://mathworld.wolfram.com/digammafunction.html	https://mathworld.wolfram.com/digammafunction.html	VERB
ijassa-1585	440	4	copyright	copyright	NOUN
ijassa-1585	440	5	©	©	ADP
ijassa-1585	440	6	2024	2024	NUM
ijassa-1585	440	7	assa	assa	NOUN
ijassa-1585	440	8	.	.	PUNCT
ijassa-1585	441	1	adv	adv	PROPN
ijassa-1585	441	2	syst	syst	PROPN
ijassa-1585	441	3	sci	sci	PROPN
ijassa-1585	441	4	appl	appl	PROPN
ijassa-1585	441	5	(	(	PUNCT
ijassa-1585	441	6	2024	2024	NUM
ijassa-1585	441	7	)	)	PUNCT
ijassa-1585	441	8	introduction	introduction	NOUN
ijassa-1585	441	9	mathematical	mathematical	ADJ
ijassa-1585	441	10	model	model	NOUN
ijassa-1585	441	11	of	of	ADP
ijassa-1585	441	12	fork	fork	NOUN
ijassa-1585	441	13	-	-	PUNCT
ijassa-1585	441	14	join	join	VERB
ijassa-1585	441	15	qs	qs	NOUN
ijassa-1585	441	16	and	and	CCONJ
ijassa-1585	441	17	correlation	correlation	NOUN
ijassa-1585	441	18	coefficients	coefficient	NOUN
ijassa-1585	441	19	elements	element	NOUN
ijassa-1585	441	20	of	of	ADP
ijassa-1585	441	21	copula	copula	NOUN
ijassa-1585	441	22	theory	theory	NOUN
ijassa-1585	441	23	approximations	approximation	NOUN
ijassa-1585	441	24	of	of	ADP
ijassa-1585	441	25	the	the	DET
ijassa-1585	441	26	diagonal	diagonal	ADJ
ijassa-1585	441	27	section	section	NOUN
ijassa-1585	441	28	and	and	CCONJ
ijassa-1585	441	29	response	response	NOUN
ijassa-1585	441	30	time	time	NOUN
ijassa-1585	441	31	quantiles	quantile	NOUN
ijassa-1585	441	32	approximation	approximation	NOUN
ijassa-1585	441	33	of	of	ADP
ijassa-1585	441	34	the	the	DET
ijassa-1585	441	35	copula	copula	NOUN
ijassa-1585	441	36	of	of	ADP
ijassa-1585	441	37	sojourn	sojourn	NOUN
ijassa-1585	441	38	times	time	NOUN
ijassa-1585	441	39	of	of	ADP
ijassa-1585	441	40	subtasks	subtask	NOUN
ijassa-1585	441	41	by	by	ADP
ijassa-1585	441	42	the	the	DET
ijassa-1585	441	43	gumbel	gumbel	PROPN
ijassa-1585	441	44	copula	copula	PROPN
ijassa-1585	441	45	comparison	comparison	NOUN
ijassa-1585	441	46	of	of	ADP
ijassa-1585	441	47	the	the	DET
ijassa-1585	441	48	gumbel	gumbel	PROPN
ijassa-1585	441	49	copula	copula	NOUN
ijassa-1585	441	50	approximation	approximation	NOUN
ijassa-1585	441	51	with	with	ADP
ijassa-1585	441	52	previously	previously	ADV
ijassa-1585	441	53	known	know	VERB
ijassa-1585	441	54	results	result	NOUN
ijassa-1585	441	55	conclusion	conclusion	NOUN