id	sid	tid	token	lemma	pos
cana-5533	1	1	communications	communication	NOUN
cana-5533	1	2	on	on	ADP
cana-5533	1	3	applied	apply	VERB
cana-5533	1	4	nonlinear	nonlinear	ADJ
cana-5533	1	5	analysis	analysis	NOUN
cana-5533	1	6	issn	issn	NOUN
cana-5533	1	7	:	:	PUNCT
cana-5533	1	8	1074	1074	NUM
cana-5533	1	9	-	-	PUNCT
cana-5533	1	10	133x	133x	NUM
cana-5533	1	11	vol	vol	VERB
cana-5533	1	12	32	32	NUM
cana-5533	1	13	no	no	NOUN
cana-5533	1	14	.	.	PUNCT
cana-5533	2	1	10s	10	NOUN
cana-5533	2	2	(	(	PUNCT
cana-5533	2	3	2025	2025	NUM
cana-5533	2	4	)	)	PUNCT
cana-5533	2	5	2548	2548	NUM
cana-5533	2	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-5533	2	7	fuzzy	fuzzy	ADJ
cana-5533	2	8	reliability	reliability	NOUN
cana-5533	2	9	,	,	PUNCT
cana-5533	2	10	bayesian	bayesian	NOUN
cana-5533	2	11	estimation	estimation	NOUN
cana-5533	2	12	and	and	CCONJ
cana-5533	2	13	goodness	goodness	NOUN
cana-5533	2	14	of	of	ADP
cana-5533	2	15	fit	fit	ADJ
cana-5533	2	16	test	test	NOUN
cana-5533	2	17	for	for	ADP
cana-5533	2	18	a	a	DET
cana-5533	2	19	novel	novel	ADJ
cana-5533	2	20	one	one	NUM
cana-5533	2	21	parameter	parameter	NOUN
cana-5533	2	22	model	model	NOUN
cana-5533	2	23	with	with	ADP
cana-5533	2	24	simulation	simulation	NOUN
cana-5533	2	25	study	study	NOUN
cana-5533	2	26	and	and	CCONJ
cana-5533	2	27	application	application	NOUN
cana-5533	2	28	1	1	NUM
cana-5533	2	29	*	*	NOUN
cana-5533	2	30	,	,	PUNCT
cana-5533	2	31	meriem	meriem	NOUN
cana-5533	2	32	bouhadjar2	bouhadjar2	PROPN
cana-5533	2	33	and	and	CCONJ
cana-5533	2	34	imen	iman	NOUN
cana-5533	2	35	grabsia	grabsia	VERB
cana-5533	2	36	1	1	NUM
cana-5533	2	37	1mathematics	1mathematics	NUM
cana-5533	2	38	department	department	NOUN
cana-5533	2	39	,	,	PUNCT
cana-5533	2	40	faculty	faculty	NOUN
cana-5533	2	41	of	of	ADP
cana-5533	2	42	science	science	NOUN
cana-5533	2	43	and	and	CCONJ
cana-5533	2	44	technology	technology	NOUN
cana-5533	2	45	and	and	CCONJ
cana-5533	2	46	computer	computer	NOUN
cana-5533	2	47	science	science	NOUN
cana-5533	2	48	and	and	CCONJ
cana-5533	2	49	applied	apply	VERB
cana-5533	2	50	mathematics	mathematic	NOUN
cana-5533	2	51	laboratory	laboratory	NOUN
cana-5533	2	52	(	(	PUNCT
cana-5533	2	53	lima	lima	PROPN
cana-5533	2	54	)	)	PUNCT
cana-5533	2	55	chadli	chadli	PROPN
cana-5533	2	56	bendjedid	bendjedid	PROPN
cana-5533	2	57	university	university	PROPN
cana-5533	2	58	,	,	PUNCT
cana-5533	2	59	el	el	PROPN
cana-5533	2	60	tarf	tarf	PROPN
cana-5533	2	61	,	,	PUNCT
cana-5533	2	62	algeria	algeria	PROPN
cana-5533	2	63	*	*	PUNCT
cana-5533	2	64	corresponding	correspond	VERB
cana-5533	2	65	author	author	NOUN
cana-5533	2	66	:	:	PUNCT
cana-5533	2	67	grine-razika@univ-eltarf.dz	grine-razika@univ-eltarf.dz	NOUN
cana-5533	2	68	,	,	PUNCT
cana-5533	2	69	i.grabsia@univ-eltarf.dz	i.grabsia@univ-eltarf.dz	NOUN
cana-5533	2	70	2laps	2laps	NUM
cana-5533	2	71	laboratory	laboratory	NOUN
cana-5533	2	72	,	,	PUNCT
cana-5533	2	73	badji	badji	PROPN
cana-5533	2	74	mokhtar	mokhtar	PROPN
cana-5533	2	75	-	-	PUNCT
cana-5533	2	76	annaba	annaba	PROPN
cana-5533	2	77	university	university	PROPN
cana-5533	2	78	,	,	PUNCT
cana-5533	2	79	12	12	NUM
cana-5533	2	80	,	,	PUNCT
cana-5533	2	81	p.o.box	p.o.box	PROPN
cana-5533	2	82	,	,	PUNCT
cana-5533	2	83	annaba	annaba	PROPN
cana-5533	2	84	23000	23000	NUM
cana-5533	2	85	,	,	PUNCT
cana-5533	2	86	algeria	algeria	PROPN
cana-5533	2	87	meriem.bouhadjar@univ-annaba.dz	meriem.bouhadjar@univ-annaba.dz	PROPN
cana-5533	2	88	article	article	NOUN
cana-5533	2	89	history	history	NOUN
cana-5533	2	90	:	:	PUNCT
cana-5533	2	91	received	receive	VERB
cana-5533	2	92	:	:	PUNCT
cana-5533	2	93	12	12	NUM
cana-5533	2	94	-	-	SYM
cana-5533	2	95	01	01	NUM
cana-5533	2	96	-	-	PUNCT
cana-5533	2	97	2025	2025	NUM
cana-5533	2	98	abstract	abstract	NOUN
cana-5533	2	99	:	:	PUNCT
cana-5533	2	100	this	this	DET
cana-5533	2	101	study	study	NOUN
cana-5533	2	102	investigates	investigate	VERB
cana-5533	2	103	the	the	DET
cana-5533	2	104	goodness	goodness	NOUN
cana-5533	2	105	-	-	PUNCT
cana-5533	2	106	of	of	ADP
cana-5533	2	107	-	-	PUNCT
cana-5533	2	108	fit	fit	NOUN
cana-5533	2	109	test	test	NOUN
cana-5533	2	110	,	,	PUNCT
cana-5533	2	111	fuzzy	fuzzy	ADJ
cana-5533	2	112	reliability	reliability	NOUN
cana-5533	2	113	analysis	analysis	NOUN
cana-5533	2	114	,	,	PUNCT
cana-5533	2	115	and	and	CCONJ
cana-5533	2	116	bayesian	bayesian	NOUN
cana-5533	2	117	estimation	estimation	NOUN
cana-5533	2	118	for	for	ADP
cana-5533	2	119	a	a	DET
cana-5533	2	120	novel	novel	ADJ
cana-5533	2	121	one	one	NUM
cana-5533	2	122	-	-	PUNCT
cana-5533	2	123	parameter	parameter	NOUN
cana-5533	2	124	probability	probability	NOUN
cana-5533	2	125	distribution	distribution	NOUN
cana-5533	2	126	.	.	PUNCT
cana-5533	3	1	specifically	specifically	ADV
cana-5533	3	2	,	,	PUNCT
cana-5533	3	3	we	we	PRON
cana-5533	3	4	introduce	introduce	VERB
cana-5533	3	5	and	and	CCONJ
cana-5533	3	6	analyze	analyze	VERB
cana-5533	3	7	the	the	DET
cana-5533	3	8	exponential	exponential	NOUN
cana-5533	3	9	-	-	PUNCT
cana-5533	3	10	lindley	lindley	NOUN
cana-5533	3	11	and	and	CCONJ
cana-5533	3	12	exponential	exponential	NOUN
cana-5533	3	13	-	-	PUNCT
cana-5533	3	14	x	x	ADJ
cana-5533	3	15	-	-	ADJ
cana-5533	3	16	lindley	lindley	ADJ
cana-5533	3	17	distributions	distribution	NOUN
cana-5533	3	18	as	as	ADP
cana-5533	3	19	extensions	extension	NOUN
cana-5533	3	20	of	of	ADP
cana-5533	3	21	the	the	DET
cana-5533	3	22	proposed	propose	VERB
cana-5533	3	23	model	model	NOUN
cana-5533	3	24	.	.	PUNCT
cana-5533	4	1	using	use	VERB
cana-5533	4	2	comprehensive	comprehensive	ADJ
cana-5533	4	3	analytical	analytical	ADJ
cana-5533	4	4	techniques	technique	NOUN
cana-5533	4	5	,	,	PUNCT
cana-5533	4	6	several	several	ADJ
cana-5533	4	7	key	key	ADJ
cana-5533	4	8	statistical	statistical	ADJ
cana-5533	4	9	properties	property	NOUN
cana-5533	4	10	of	of	ADP
cana-5533	4	11	the	the	DET
cana-5533	4	12	distribution	distribution	NOUN
cana-5533	4	13	are	be	AUX
cana-5533	4	14	derived	derive	VERB
cana-5533	4	15	and	and	CCONJ
cana-5533	4	16	thoroughly	thoroughly	ADV
cana-5533	4	17	examined	examine	VERB
cana-5533	4	18	.	.	PUNCT
cana-5533	5	1	to	to	PART
cana-5533	5	2	assess	assess	VERB
cana-5533	5	3	the	the	DET
cana-5533	5	4	model	model	NOUN
cana-5533	5	5	's	's	PART
cana-5533	5	6	behavior	behavior	NOUN
cana-5533	5	7	under	under	ADP
cana-5533	5	8	uncertainty	uncertainty	NOUN
cana-5533	5	9	,	,	PUNCT
cana-5533	5	10	fuzzy	fuzzy	ADJ
cana-5533	5	11	reliability	reliability	NOUN
cana-5533	5	12	measures	measure	NOUN
cana-5533	5	13	are	be	AUX
cana-5533	5	14	developed	develop	VERB
cana-5533	5	15	,	,	PUNCT
cana-5533	5	16	demonstrating	demonstrate	VERB
cana-5533	5	17	its	its	PRON
cana-5533	5	18	robustness	robustness	NOUN
cana-5533	5	19	and	and	CCONJ
cana-5533	5	20	practical	practical	ADJ
cana-5533	5	21	applicability	applicability	NOUN
cana-5533	5	22	in	in	ADP
cana-5533	5	23	scenarios	scenario	NOUN
cana-5533	5	24	involving	involve	VERB
cana-5533	5	25	imprecise	imprecise	ADV
cana-5533	5	26	or	or	CCONJ
cana-5533	5	27	vague	vague	ADJ
cana-5533	5	28	data	datum	NOUN
cana-5533	5	29	.	.	PUNCT
cana-5533	6	1	furthermore	furthermore	ADV
cana-5533	6	2	,	,	PUNCT
cana-5533	6	3	a	a	DET
cana-5533	6	4	variety	variety	NOUN
cana-5533	6	5	of	of	ADP
cana-5533	6	6	parameter	parameter	NOUN
cana-5533	6	7	estimation	estimation	NOUN
cana-5533	6	8	methods	method	NOUN
cana-5533	6	9	—	—	PUNCT
cana-5533	6	10	including	include	VERB
cana-5533	6	11	classical	classical	ADJ
cana-5533	6	12	and	and	CCONJ
cana-5533	6	13	bayesian	bayesian	NOUN
cana-5533	6	14	approaches	approach	NOUN
cana-5533	6	15	—	—	PUNCT
cana-5533	6	16	are	be	AUX
cana-5533	6	17	explored	explore	VERB
cana-5533	6	18	to	to	PART
cana-5533	6	19	assess	assess	VERB
cana-5533	6	20	the	the	DET
cana-5533	6	21	flexibility	flexibility	NOUN
cana-5533	6	22	and	and	CCONJ
cana-5533	6	23	precision	precision	NOUN
cana-5533	6	24	of	of	ADP
cana-5533	6	25	the	the	DET
cana-5533	6	26	proposed	propose	VERB
cana-5533	6	27	model	model	NOUN
cana-5533	6	28	.	.	PUNCT
cana-5533	7	1	a	a	DET
cana-5533	7	2	simulation	simulation	NOUN
cana-5533	7	3	study	study	NOUN
cana-5533	7	4	is	be	AUX
cana-5533	7	5	conducted	conduct	VERB
cana-5533	7	6	using	use	VERB
cana-5533	7	7	randomly	randomly	ADV
cana-5533	7	8	generated	generate	VERB
cana-5533	7	9	datasets	dataset	NOUN
cana-5533	7	10	to	to	PART
cana-5533	7	11	evaluate	evaluate	VERB
cana-5533	7	12	the	the	DET
cana-5533	7	13	performance	performance	NOUN
cana-5533	7	14	of	of	ADP
cana-5533	7	15	the	the	DET
cana-5533	7	16	estimation	estimation	NOUN
cana-5533	7	17	techniques	technique	NOUN
cana-5533	7	18	and	and	CCONJ
cana-5533	7	19	to	to	PART
cana-5533	7	20	gain	gain	VERB
cana-5533	7	21	deeper	deep	ADJ
cana-5533	7	22	insights	insight	NOUN
cana-5533	7	23	into	into	ADP
cana-5533	7	24	the	the	DET
cana-5533	7	25	model	model	NOUN
cana-5533	7	26	’s	’s	PART
cana-5533	7	27	adaptability	adaptability	NOUN
cana-5533	7	28	across	across	ADP
cana-5533	7	29	different	different	ADJ
cana-5533	7	30	conditions	condition	NOUN
cana-5533	7	31	.	.	PUNCT
cana-5533	8	1	finally	finally	ADV
cana-5533	8	2	,	,	PUNCT
cana-5533	8	3	the	the	DET
cana-5533	8	4	model	model	NOUN
cana-5533	8	5	’s	’s	PART
cana-5533	8	6	adequacy	adequacy	NOUN
cana-5533	8	7	is	be	AUX
cana-5533	8	8	validated	validate	VERB
cana-5533	8	9	using	use	VERB
cana-5533	8	10	a	a	DET
cana-5533	8	11	goodness	goodness	NOUN
cana-5533	8	12	-	-	PUNCT
cana-5533	8	13	of	of	ADP
cana-5533	8	14	-	-	PUNCT
cana-5533	8	15	fit	fit	NOUN
cana-5533	8	16	test	test	NOUN
cana-5533	8	17	,	,	PUNCT
cana-5533	8	18	confirming	confirm	VERB
cana-5533	8	19	its	its	PRON
cana-5533	8	20	potential	potential	ADJ
cana-5533	8	21	usefulness	usefulness	NOUN
cana-5533	8	22	in	in	ADP
cana-5533	8	23	reliability	reliability	NOUN
cana-5533	8	24	and	and	CCONJ
cana-5533	8	25	lifetime	lifetime	NOUN
cana-5533	8	26	data	datum	NOUN
cana-5533	8	27	analysis	analysis	NOUN
cana-5533	8	28	.	.	PUNCT
cana-5533	9	1	keywords	keyword	NOUN
cana-5533	9	2	:	:	PUNCT
cana-5533	9	3	exponential	exponential	ADJ
cana-5533	9	4	xlindley	xlindley	ADJ
cana-5533	9	5	distribution	distribution	NOUN
cana-5533	9	6	,	,	PUNCT
cana-5533	9	7	goodness	goodness	NOUN
cana-5533	9	8	-	-	PUNCT
cana-5533	9	9	of	of	ADP
cana-5533	9	10	-	-	PUNCT
cana-5533	9	11	fit	fit	NOUN
cana-5533	9	12	test	test	NOUN
cana-5533	9	13	,	,	PUNCT
cana-5533	9	14	fuzzy	fuzzy	ADJ
cana-5533	9	15	reliability	reliability	NOUN
cana-5533	9	16	function	function	NOUN
cana-5533	9	17	,	,	PUNCT
cana-5533	9	18	numerical	numerical	ADJ
cana-5533	9	19	simulations	simulation	NOUN
cana-5533	9	20	.	.	PUNCT
cana-5533	10	1	1	1	X
cana-5533	10	2	.	.	X
cana-5533	10	3	introduction	introduction	NOUN
cana-5533	10	4	a	a	DET
cana-5533	10	5	finite	finite	ADJ
cana-5533	10	6	mixed	mixed	ADJ
cana-5533	10	7	distribution	distribution	NOUN
cana-5533	10	8	is	be	AUX
cana-5533	10	9	created	create	VERB
cana-5533	10	10	when	when	SCONJ
cana-5533	10	11	a	a	DET
cana-5533	10	12	finite	finite	ADJ
cana-5533	10	13	number	number	NOUN
cana-5533	10	14	of	of	ADP
cana-5533	10	15	probability	probability	NOUN
cana-5533	10	16	distributions	distribution	NOUN
cana-5533	10	17	are	be	AUX
cana-5533	10	18	combined	combine	VERB
cana-5533	10	19	with	with	ADP
cana-5533	10	20	a	a	DET
cana-5533	10	21	mixed	mixed	ADJ
cana-5533	10	22	proportion	proportion	NOUN
cana-5533	10	23	,	,	PUNCT
cana-5533	10	24	resulting	result	VERB
cana-5533	10	25	in	in	ADP
cana-5533	10	26	new	new	ADJ
cana-5533	10	27	probability	probability	NOUN
cana-5533	10	28	models	model	NOUN
cana-5533	10	29	.	.	PUNCT
cana-5533	11	1	these	these	DET
cana-5533	11	2	distributions	distribution	NOUN
cana-5533	11	3	are	be	AUX
cana-5533	11	4	particularly	particularly	ADV
cana-5533	11	5	useful	useful	ADJ
cana-5533	11	6	for	for	ADP
cana-5533	11	7	simulating	simulate	VERB
cana-5533	11	8	random	random	ADJ
cana-5533	11	9	events	event	NOUN
cana-5533	11	10	,	,	PUNCT
cana-5533	11	11	especially	especially	ADV
cana-5533	11	12	when	when	SCONJ
cana-5533	11	13	accounting	account	VERB
cana-5533	11	14	for	for	ADP
cana-5533	11	15	undetected	undetected	ADJ
cana-5533	11	16	data	datum	NOUN
cana-5533	11	17	heterogeneity	heterogeneity	NOUN
cana-5533	11	18	.	.	PUNCT
cana-5533	12	1	the	the	DET
cana-5533	12	2	mixed	mixed	ADJ
cana-5533	12	3	distribution	distribution	NOUN
cana-5533	12	4	model	model	NOUN
cana-5533	12	5	is	be	AUX
cana-5533	12	6	widely	widely	ADV
cana-5533	12	7	recognized	recognize	VERB
cana-5533	12	8	in	in	ADP
cana-5533	12	9	statistical	statistical	ADJ
cana-5533	12	10	data	datum	NOUN
cana-5533	12	11	modeling	modeling	NOUN
cana-5533	12	12	,	,	PUNCT
cana-5533	12	13	as	as	SCONJ
cana-5533	12	14	data	data	NOUN
cana-5533	12	15	sets	set	NOUN
cana-5533	12	16	can	can	AUX
cana-5533	12	17	often	often	ADV
cana-5533	12	18	be	be	AUX
cana-5533	12	19	thought	think	VERB
cana-5533	12	20	of	of	ADP
cana-5533	12	21	as	as	ADP
cana-5533	12	22	mixed	mixed	ADJ
cana-5533	12	23	populations	population	NOUN
cana-5533	12	24	.	.	PUNCT
cana-5533	13	1	consequently	consequently	ADV
cana-5533	13	2	,	,	PUNCT
cana-5533	13	3	many	many	ADJ
cana-5533	13	4	researchers	researcher	NOUN
cana-5533	13	5	are	be	AUX
cana-5533	13	6	highly	highly	ADV
cana-5533	13	7	interested	interested	ADJ
cana-5533	13	8	in	in	ADP
cana-5533	13	9	studying	study	VERB
cana-5533	13	10	mixtures	mixture	NOUN
cana-5533	13	11	of	of	ADP
cana-5533	13	12	distributions	distribution	NOUN
cana-5533	13	13	.	.	PUNCT
cana-5533	14	1	notable	notable	ADJ
cana-5533	14	2	contributions	contribution	NOUN
cana-5533	14	3	to	to	ADP
cana-5533	14	4	this	this	DET
cana-5533	14	5	area	area	NOUN
cana-5533	14	6	of	of	ADP
cana-5533	14	7	research	research	NOUN
cana-5533	14	8	include	include	VERB
cana-5533	14	9	works	work	NOUN
cana-5533	14	10	by	by	ADP
cana-5533	14	11	bouchahed	bouchahed	ADJ
cana-5533	14	12	and	and	CCONJ
cana-5533	14	13	zeghdoudi	zeghdoudi	NOUN
cana-5533	14	14	(	(	PUNCT
cana-5533	14	15	2018	2018	NUM
cana-5533	14	16	)	)	PUNCT
cana-5533	14	17	,	,	PUNCT
cana-5533	14	18	bousseba	bousseba	NOUN
cana-5533	14	19	et	et	PROPN
cana-5533	14	20	al	al	PROPN
cana-5533	14	21	.	.	PROPN
cana-5533	15	1	(	(	PUNCT
cana-5533	15	2	2024	2024	NUM
cana-5533	15	3	)	)	PUNCT
cana-5533	15	4	,	,	PUNCT
cana-5533	15	5	bouhadjar	bouhadjar	VERB
cana-5533	15	6	et	et	PROPN
cana-5533	15	7	al	al	PROPN
cana-5533	15	8	.	.	PROPN
cana-5533	16	1	(	(	PUNCT
cana-5533	16	2	2022	2022	NUM
cana-5533	16	3	)	)	PUNCT
cana-5533	16	4	,	,	PUNCT
cana-5533	16	5	khodja	khodja	PROPN
cana-5533	16	6	et	et	PROPN
cana-5533	16	7	al	al	PROPN
cana-5533	16	8	.	.	PROPN
cana-5533	17	1	(	(	PUNCT
cana-5533	17	2	2023	2023	NUM
cana-5533	17	3	)	)	PUNCT
cana-5533	17	4	,	,	PUNCT
cana-5533	17	5	saaidia	saaidia	VERB
cana-5533	17	6	et	et	PROPN
cana-5533	17	7	al	al	PROPN
cana-5533	17	8	.	.	PROPN
cana-5533	18	1	(	(	PUNCT
cana-5533	18	2	2024	2024	NUM
cana-5533	18	3	)	)	PUNCT
cana-5533	18	4	,	,	PUNCT
cana-5533	18	5	and	and	CCONJ
cana-5533	18	6	chouia	chouia	PROPN
cana-5533	18	7	and	and	CCONJ
cana-5533	18	8	zeghdoudi	zeghdoudi	NOUN
cana-5533	18	9	(	(	PUNCT
cana-5533	18	10	2021	2021	NUM
cana-5533	18	11	)	)	PUNCT
cana-5533	18	12	.	.	PUNCT
cana-5533	19	1	one	one	NUM
cana-5533	19	2	key	key	ADJ
cana-5533	19	3	area	area	NOUN
cana-5533	19	4	of	of	ADP
cana-5533	19	5	engineering	engineering	NOUN
cana-5533	19	6	research	research	NOUN
cana-5533	19	7	is	be	AUX
cana-5533	19	8	reliability	reliability	NOUN
cana-5533	19	9	analysis	analysis	NOUN
cana-5533	19	10	.	.	PUNCT
cana-5533	20	1	however	however	ADV
cana-5533	20	2	,	,	PUNCT
cana-5533	20	3	accurately	accurately	ADV
cana-5533	20	4	reporting	report	VERB
cana-5533	20	5	the	the	DET
cana-5533	20	6	number	number	NOUN
cana-5533	20	7	of	of	ADP
cana-5533	20	8	survivors	survivor	NOUN
cana-5533	20	9	can	can	AUX
cana-5533	20	10	be	be	AUX
cana-5533	20	11	challenging	challenge	VERB
cana-5533	20	12	in	in	ADP
cana-5533	20	13	some	some	DET
cana-5533	20	14	unforeseen	unforeseen	ADJ
cana-5533	20	15	circumstances	circumstance	NOUN
cana-5533	20	16	.	.	PUNCT
cana-5533	21	1	for	for	ADP
cana-5533	21	2	example	example	NOUN
cana-5533	21	3	,	,	PUNCT
cana-5533	21	4	human	human	ADJ
cana-5533	21	5	error	error	NOUN
cana-5533	21	6	may	may	AUX
cana-5533	21	7	lead	lead	VERB
cana-5533	21	8	to	to	ADP
cana-5533	21	9	incorrect	incorrect	ADJ
cana-5533	21	10	failure	failure	NOUN
cana-5533	21	11	recordings	recording	NOUN
cana-5533	21	12	during	during	ADP
cana-5533	21	13	testing	testing	NOUN
cana-5533	21	14	,	,	PUNCT
cana-5533	21	15	or	or	CCONJ
cana-5533	21	16	components	component	NOUN
cana-5533	21	17	may	may	AUX
cana-5533	21	18	not	not	PART
cana-5533	21	19	fail	fail	VERB
cana-5533	21	20	completely	completely	ADV
cana-5533	21	21	.	.	PUNCT
cana-5533	22	1	in	in	ADP
cana-5533	22	2	such	such	ADJ
cana-5533	22	3	cases	case	NOUN
cana-5533	22	4	,	,	PUNCT
cana-5533	22	5	survival	survival	NOUN
cana-5533	22	6	probabilities	probability	NOUN
cana-5533	22	7	are	be	AUX
cana-5533	22	8	better	well	ADV
cana-5533	22	9	described	describe	VERB
cana-5533	22	10	as	as	ADP
cana-5533	22	11	fuzzy	fuzzy	ADJ
cana-5533	22	12	real	real	ADJ
cana-5533	22	13	numbers	number	NOUN
cana-5533	22	14	rather	rather	ADV
cana-5533	22	15	than	than	ADP
cana-5533	22	16	precise	precise	ADJ
cana-5533	22	17	values	value	NOUN
cana-5533	22	18	.	.	PUNCT
cana-5533	23	1	razika	razika	PROPN
cana-5533	23	2	grine	grine	PROPN
cana-5533	23	3	revised	revise	VERB
cana-5533	23	4	:	:	PUNCT
cana-5533	23	5	15	15	NUM
cana-5533	23	6	-	-	SYM
cana-5533	23	7	03	03	NUM
cana-5533	23	8	-	-	PUNCT
cana-5533	23	9	2025	2025	NUM
cana-5533	23	10	accepted	accept	VERB
cana-5533	23	11	:	:	PUNCT
cana-5533	23	12	01	01	NUM
cana-5533	23	13	-	-	PUNCT
cana-5533	23	14	04	04	NUM
cana-5533	23	15	-	-	PUNCT
cana-5533	23	16	2025	2025	NUM
cana-5533	23	17	mailto:grine-razika@univ-eltarf.dz	mailto:grine-razika@univ-eltarf.dz	ADJ
cana-5533	23	18	mailto:i.grabsia@univ-eltarf.dz	mailto:i.grabsia@univ-eltarf.dz	NOUN
cana-5533	23	19	mailto:meriem.bouhadjar@univ-annaba.dz	mailto:meriem.bouhadjar@univ-annaba.dz	NOUN
cana-5533	23	20	communications	communication	NOUN
cana-5533	23	21	on	on	ADP
cana-5533	23	22	applied	apply	VERB
cana-5533	23	23	nonlinear	nonlinear	ADJ
cana-5533	23	24	analysis	analysis	NOUN
cana-5533	23	25	issn	issn	NOUN
cana-5533	23	26	:	:	PUNCT
cana-5533	23	27	1074	1074	NUM
cana-5533	23	28	-	-	PUNCT
cana-5533	23	29	133x	133x	NUM
cana-5533	23	30	vol	vol	VERB
cana-5533	23	31	32	32	NUM
cana-5533	23	32	no	no	NOUN
cana-5533	23	33	.	.	PUNCT
cana-5533	24	1	10s	10	NOUN
cana-5533	24	2	(	(	PUNCT
cana-5533	24	3	2025	2025	NUM
cana-5533	24	4	)	)	PUNCT
cana-5533	24	5	2549	2549	NUM
cana-5533	24	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-5533	24	7	similarly	similarly	ADV
cana-5533	24	8	,	,	PUNCT
cana-5533	24	9	when	when	SCONJ
cana-5533	24	10	failure	failure	NOUN
cana-5533	24	11	rates	rate	NOUN
cana-5533	24	12	can	can	AUX
cana-5533	24	13	not	not	PART
cana-5533	24	14	be	be	AUX
cana-5533	24	15	determined	determine	VERB
cana-5533	24	16	with	with	ADP
cana-5533	24	17	precision	precision	NOUN
cana-5533	24	18	,	,	PUNCT
cana-5533	24	19	they	they	PRON
cana-5533	24	20	should	should	AUX
cana-5533	24	21	be	be	AUX
cana-5533	24	22	treated	treat	VERB
cana-5533	24	23	as	as	ADP
cana-5533	24	24	fuzzy	fuzzy	ADJ
cana-5533	24	25	real	real	ADJ
cana-5533	24	26	numbers	number	NOUN
cana-5533	24	27	.	.	PUNCT
cana-5533	25	1	the	the	DET
cana-5533	25	2	probability	probability	NOUN
cana-5533	25	3	reliability	reliability	NOUN
cana-5533	25	4	method	method	NOUN
cana-5533	25	5	has	have	AUX
cana-5533	25	6	become	become	VERB
cana-5533	25	7	a	a	DET
cana-5533	25	8	popular	popular	ADJ
cana-5533	25	9	approach	approach	NOUN
cana-5533	25	10	to	to	ADP
cana-5533	25	11	addressing	address	VERB
cana-5533	25	12	uncertain	uncertain	ADJ
cana-5533	25	13	problems	problem	NOUN
cana-5533	25	14	.	.	PUNCT
cana-5533	26	1	as	as	SCONJ
cana-5533	26	2	science	science	NOUN
cana-5533	26	3	and	and	CCONJ
cana-5533	26	4	technology	technology	NOUN
cana-5533	26	5	have	have	AUX
cana-5533	26	6	advanced	advance	VERB
cana-5533	26	7	,	,	PUNCT
cana-5533	26	8	researchers	researcher	NOUN
cana-5533	26	9	have	have	AUX
cana-5533	26	10	recognized	recognize	VERB
cana-5533	26	11	that	that	SCONJ
cana-5533	26	12	uncertainty	uncertainty	NOUN
cana-5533	26	13	in	in	ADP
cana-5533	26	14	engineering	engineering	NOUN
cana-5533	26	15	arises	arise	VERB
cana-5533	26	16	not	not	PART
cana-5533	26	17	only	only	ADV
cana-5533	26	18	from	from	ADP
cana-5533	26	19	randomness	randomness	NOUN
cana-5533	26	20	but	but	CCONJ
cana-5533	26	21	also	also	ADV
cana-5533	26	22	from	from	ADP
cana-5533	26	23	fuzziness	fuzziness	NOUN
cana-5533	26	24	(	(	PUNCT
cana-5533	26	25	cremona	cremona	PROPN
cana-5533	26	26	et	et	PROPN
cana-5533	26	27	al	al	PROPN
cana-5533	26	28	.	.	PROPN
cana-5533	26	29	,	,	PUNCT
cana-5533	26	30	1997	1997	NUM
cana-5533	26	31	;	;	PUNCT
cana-5533	26	32	song	song	NOUN
cana-5533	26	33	et	et	PROPN
cana-5533	26	34	al	al	PROPN
cana-5533	26	35	.	.	PROPN
cana-5533	26	36	,	,	PUNCT
cana-5533	26	37	2012	2012	NUM
cana-5533	26	38	;	;	PUNCT
cana-5533	26	39	reuter	reuter	PROPN
cana-5533	26	40	et	et	PROPN
cana-5533	26	41	al	al	PROPN
cana-5533	26	42	.	.	PROPN
cana-5533	26	43	,	,	PUNCT
cana-5533	26	44	2011	2011	NUM
cana-5533	26	45	)	)	PUNCT
cana-5533	26	46	.	.	PUNCT
cana-5533	27	1	fuzzy	fuzzy	ADJ
cana-5533	27	2	uncertainty	uncertainty	NOUN
cana-5533	27	3	is	be	AUX
cana-5533	27	4	complex	complex	ADJ
cana-5533	27	5	and	and	CCONJ
cana-5533	27	6	diverse	diverse	ADJ
cana-5533	27	7	,	,	PUNCT
cana-5533	27	8	and	and	CCONJ
cana-5533	27	9	its	its	PRON
cana-5533	27	10	mathematical	mathematical	ADJ
cana-5533	27	11	expression	expression	NOUN
cana-5533	27	12	differs	differ	VERB
cana-5533	27	13	from	from	ADP
cana-5533	27	14	that	that	PRON
cana-5533	27	15	of	of	ADP
cana-5533	27	16	random	random	ADJ
cana-5533	27	17	uncertainty	uncertainty	NOUN
cana-5533	27	18	,	,	PUNCT
cana-5533	27	19	making	make	VERB
cana-5533	27	20	traditional	traditional	ADJ
cana-5533	27	21	probability	probability	NOUN
cana-5533	27	22	reliability	reliability	NOUN
cana-5533	27	23	approaches	approach	VERB
cana-5533	27	24	insufficient	insufficient	ADJ
cana-5533	27	25	to	to	PART
cana-5533	27	26	handle	handle	VERB
cana-5533	27	27	such	such	ADJ
cana-5533	27	28	issues	issue	NOUN
cana-5533	27	29	.	.	PUNCT
cana-5533	28	1	one	one	NUM
cana-5533	28	2	-	-	PUNCT
cana-5533	28	3	parameter	parameter	NOUN
cana-5533	28	4	distributions	distribution	NOUN
cana-5533	28	5	have	have	AUX
cana-5533	28	6	been	be	AUX
cana-5533	28	7	extensively	extensively	ADV
cana-5533	28	8	studied	study	VERB
cana-5533	28	9	due	due	ADP
cana-5533	28	10	to	to	ADP
cana-5533	28	11	their	their	PRON
cana-5533	28	12	balance	balance	NOUN
cana-5533	28	13	between	between	ADP
cana-5533	28	14	mathematical	mathematical	ADJ
cana-5533	28	15	simplicity	simplicity	NOUN
cana-5533	28	16	and	and	CCONJ
cana-5533	28	17	practical	practical	ADJ
cana-5533	28	18	applicability	applicability	NOUN
cana-5533	28	19	.	.	PUNCT
cana-5533	29	1	with	with	ADP
cana-5533	29	2	fewer	few	ADJ
cana-5533	29	3	parameters	parameter	NOUN
cana-5533	29	4	,	,	PUNCT
cana-5533	29	5	these	these	DET
cana-5533	29	6	models	model	NOUN
cana-5533	29	7	are	be	AUX
cana-5533	29	8	easier	easy	ADJ
cana-5533	29	9	to	to	PART
cana-5533	29	10	interpret	interpret	VERB
cana-5533	29	11	,	,	PUNCT
cana-5533	29	12	estimate	estimate	VERB
cana-5533	29	13	,	,	PUNCT
cana-5533	29	14	and	and	CCONJ
cana-5533	29	15	apply	apply	VERB
cana-5533	29	16	,	,	PUNCT
cana-5533	29	17	particularly	particularly	ADV
cana-5533	29	18	in	in	ADP
cana-5533	29	19	scenarios	scenario	NOUN
cana-5533	29	20	involving	involve	VERB
cana-5533	29	21	limited	limited	ADJ
cana-5533	29	22	or	or	CCONJ
cana-5533	29	23	noisy	noisy	ADJ
cana-5533	29	24	data	datum	NOUN
cana-5533	29	25	.	.	PUNCT
cana-5533	30	1	they	they	PRON
cana-5533	30	2	are	be	AUX
cana-5533	30	3	especially	especially	ADV
cana-5533	30	4	useful	useful	ADJ
cana-5533	30	5	in	in	ADP
cana-5533	30	6	reliability	reliability	NOUN
cana-5533	30	7	analysis	analysis	NOUN
cana-5533	30	8	and	and	CCONJ
cana-5533	30	9	survival	survival	NOUN
cana-5533	30	10	studies	study	NOUN
cana-5533	30	11	,	,	PUNCT
cana-5533	30	12	where	where	SCONJ
cana-5533	30	13	collecting	collect	VERB
cana-5533	30	14	large	large	ADJ
cana-5533	30	15	datasets	dataset	NOUN
cana-5533	30	16	can	can	AUX
cana-5533	30	17	be	be	AUX
cana-5533	30	18	difficult	difficult	ADJ
cana-5533	30	19	.	.	PUNCT
cana-5533	31	1	moreover	moreover	ADV
cana-5533	31	2	,	,	PUNCT
cana-5533	31	3	one	one	NUM
cana-5533	31	4	-	-	PUNCT
cana-5533	31	5	parameter	parameter	NOUN
cana-5533	31	6	models	model	NOUN
cana-5533	31	7	can	can	AUX
cana-5533	31	8	serve	serve	VERB
cana-5533	31	9	as	as	ADP
cana-5533	31	10	building	build	VERB
cana-5533	31	11	blocks	block	NOUN
cana-5533	31	12	for	for	ADP
cana-5533	31	13	more	more	ADJ
cana-5533	31	14	complex	complex	ADJ
cana-5533	31	15	distributions	distribution	NOUN
cana-5533	31	16	or	or	CCONJ
cana-5533	31	17	as	as	ADP
cana-5533	31	18	baseline	baseline	ADJ
cana-5533	31	19	comparisons	comparison	NOUN
cana-5533	31	20	when	when	SCONJ
cana-5533	31	21	evaluating	evaluate	VERB
cana-5533	31	22	model	model	NOUN
cana-5533	31	23	performance	performance	NOUN
cana-5533	31	24	.	.	PUNCT
cana-5533	32	1	their	their	PRON
cana-5533	32	2	simplicity	simplicity	NOUN
cana-5533	32	3	also	also	ADV
cana-5533	32	4	reduces	reduce	VERB
cana-5533	32	5	computational	computational	ADJ
cana-5533	32	6	burden	burden	NOUN
cana-5533	32	7	,	,	PUNCT
cana-5533	32	8	making	make	VERB
cana-5533	32	9	them	they	PRON
cana-5533	32	10	attractive	attractive	ADJ
cana-5533	32	11	for	for	ADP
cana-5533	32	12	both	both	CCONJ
cana-5533	32	13	theoretical	theoretical	ADJ
cana-5533	32	14	exploration	exploration	NOUN
cana-5533	32	15	and	and	CCONJ
cana-5533	32	16	real	real	ADJ
cana-5533	32	17	-	-	PUNCT
cana-5533	32	18	time	time	NOUN
cana-5533	32	19	applications	application	NOUN
cana-5533	32	20	.	.	PUNCT
cana-5533	33	1	modeling	model	VERB
cana-5533	33	2	lifetime	lifetime	NOUN
cana-5533	33	3	data	datum	NOUN
cana-5533	33	4	is	be	AUX
cana-5533	33	5	a	a	DET
cana-5533	33	6	fundamental	fundamental	ADJ
cana-5533	33	7	aspect	aspect	NOUN
cana-5533	33	8	of	of	ADP
cana-5533	33	9	reliability	reliability	NOUN
cana-5533	33	10	engineering	engineering	NOUN
cana-5533	33	11	,	,	PUNCT
cana-5533	33	12	survival	survival	NOUN
cana-5533	33	13	analysis	analysis	NOUN
cana-5533	33	14	,	,	PUNCT
cana-5533	33	15	and	and	CCONJ
cana-5533	33	16	risk	risk	NOUN
cana-5533	33	17	assessment	assessment	NOUN
cana-5533	33	18	.	.	PUNCT
cana-5533	34	1	classical	classical	ADJ
cana-5533	34	2	lifetime	lifetime	NOUN
cana-5533	34	3	models	model	NOUN
cana-5533	34	4	,	,	PUNCT
cana-5533	34	5	such	such	ADJ
cana-5533	34	6	as	as	ADP
cana-5533	34	7	the	the	DET
cana-5533	34	8	exponential	exponential	NOUN
cana-5533	34	9	,	,	PUNCT
cana-5533	34	10	weibull	weibull	NOUN
cana-5533	34	11	,	,	PUNCT
cana-5533	34	12	and	and	CCONJ
cana-5533	34	13	gamma	gamma	NOUN
cana-5533	34	14	distributions	distribution	NOUN
cana-5533	34	15	,	,	PUNCT
cana-5533	34	16	have	have	AUX
cana-5533	34	17	been	be	AUX
cana-5533	34	18	extensively	extensively	ADV
cana-5533	34	19	studied	study	VERB
cana-5533	34	20	and	and	CCONJ
cana-5533	34	21	applied	apply	VERB
cana-5533	34	22	.	.	PUNCT
cana-5533	35	1	however	however	ADV
cana-5533	35	2	,	,	PUNCT
cana-5533	35	3	these	these	DET
cana-5533	35	4	models	model	NOUN
cana-5533	35	5	often	often	ADV
cana-5533	35	6	fail	fail	VERB
cana-5533	35	7	to	to	PART
cana-5533	35	8	capture	capture	VERB
cana-5533	35	9	the	the	DET
cana-5533	35	10	diverse	diverse	ADJ
cana-5533	35	11	hazard	hazard	NOUN
cana-5533	35	12	rate	rate	NOUN
cana-5533	35	13	behaviors	behavior	NOUN
cana-5533	35	14	observed	observe	VERB
cana-5533	35	15	in	in	ADP
cana-5533	35	16	real	real	ADJ
cana-5533	35	17	-	-	PUNCT
cana-5533	35	18	world	world	NOUN
cana-5533	35	19	scenarios	scenario	NOUN
cana-5533	35	20	(	(	PUNCT
cana-5533	35	21	gupta	gupta	NOUN
cana-5533	35	22	et	et	PROPN
cana-5533	35	23	al	al	PROPN
cana-5533	35	24	.	.	PROPN
cana-5533	35	25	,	,	PUNCT
cana-5533	35	26	1998	1998	NUM
cana-5533	35	27	;	;	PUNCT
cana-5533	35	28	murthy	murthy	PROPN
cana-5533	35	29	et	et	PROPN
cana-5533	35	30	al	al	PROPN
cana-5533	35	31	.	.	PROPN
cana-5533	35	32	,	,	PUNCT
cana-5533	35	33	2004	2004	NUM
cana-5533	35	34	)	)	PUNCT
cana-5533	35	35	.	.	PUNCT
cana-5533	36	1	this	this	DET
cana-5533	36	2	limitation	limitation	NOUN
cana-5533	36	3	has	have	AUX
cana-5533	36	4	prompted	prompt	VERB
cana-5533	36	5	the	the	DET
cana-5533	36	6	development	development	NOUN
cana-5533	36	7	of	of	ADP
cana-5533	36	8	new	new	ADJ
cana-5533	36	9	one	one	NUM
cana-5533	36	10	-	-	PUNCT
cana-5533	36	11	parameter	parameter	NOUN
cana-5533	36	12	distributions	distribution	NOUN
cana-5533	36	13	that	that	PRON
cana-5533	36	14	offer	offer	VERB
cana-5533	36	15	both	both	DET
cana-5533	36	16	analytical	analytical	ADJ
cana-5533	36	17	tractability	tractability	NOUN
cana-5533	36	18	and	and	CCONJ
cana-5533	36	19	flexibility	flexibility	NOUN
cana-5533	36	20	in	in	ADP
cana-5533	36	21	modeling	model	VERB
cana-5533	36	22	real	real	ADJ
cana-5533	36	23	-	-	PUNCT
cana-5533	36	24	world	world	NOUN
cana-5533	36	25	phenomena	phenomenon	NOUN
cana-5533	36	26	.	.	PUNCT
cana-5533	37	1	uncertainty	uncertainty	NOUN
cana-5533	37	2	in	in	ADP
cana-5533	37	3	observed	observed	ADJ
cana-5533	37	4	data	datum	NOUN
cana-5533	37	5	—	—	PUNCT
cana-5533	37	6	stemming	stem	VERB
cana-5533	37	7	from	from	ADP
cana-5533	37	8	incomplete	incomplete	ADJ
cana-5533	37	9	information	information	NOUN
cana-5533	37	10	,	,	PUNCT
cana-5533	37	11	linguistic	linguistic	ADJ
cana-5533	37	12	vagueness	vagueness	NOUN
cana-5533	37	13	,	,	PUNCT
cana-5533	37	14	or	or	CCONJ
cana-5533	37	15	measurement	measurement	NOUN
cana-5533	37	16	imprecision	imprecision	NOUN
cana-5533	37	17	—	—	PUNCT
cana-5533	37	18	poses	pose	VERB
cana-5533	37	19	a	a	DET
cana-5533	37	20	significant	significant	ADJ
cana-5533	37	21	challenge	challenge	NOUN
cana-5533	37	22	to	to	ADP
cana-5533	37	23	conventional	conventional	ADJ
cana-5533	37	24	statistical	statistical	ADJ
cana-5533	37	25	methods	method	NOUN
cana-5533	37	26	.	.	PUNCT
cana-5533	38	1	traditional	traditional	ADJ
cana-5533	38	2	probabilistic	probabilistic	ADJ
cana-5533	38	3	approaches	approach	NOUN
cana-5533	38	4	are	be	AUX
cana-5533	38	5	often	often	ADV
cana-5533	38	6	inadequate	inadequate	ADJ
cana-5533	38	7	in	in	ADP
cana-5533	38	8	capturing	capture	VERB
cana-5533	38	9	such	such	ADJ
cana-5533	38	10	ambiguity	ambiguity	NOUN
cana-5533	38	11	.	.	PUNCT
cana-5533	39	1	to	to	PART
cana-5533	39	2	address	address	VERB
cana-5533	39	3	this	this	DET
cana-5533	39	4	,	,	PUNCT
cana-5533	39	5	fuzzy	fuzzy	ADJ
cana-5533	39	6	set	set	NOUN
cana-5533	39	7	theory	theory	NOUN
cana-5533	39	8	,	,	PUNCT
cana-5533	39	9	introduced	introduce	VERB
cana-5533	39	10	by	by	ADP
cana-5533	39	11	zadeh	zadeh	PROPN
cana-5533	39	12	(	(	PUNCT
cana-5533	39	13	1965	1965	NUM
cana-5533	39	14	)	)	PUNCT
cana-5533	39	15	,	,	PUNCT
cana-5533	39	16	has	have	AUX
cana-5533	39	17	increasingly	increasingly	ADV
cana-5533	39	18	been	be	AUX
cana-5533	39	19	integrated	integrate	VERB
cana-5533	39	20	into	into	ADP
cana-5533	39	21	reliability	reliability	NOUN
cana-5533	39	22	modeling	modeling	NOUN
cana-5533	39	23	to	to	PART
cana-5533	39	24	provide	provide	VERB
cana-5533	39	25	more	more	ADV
cana-5533	39	26	realistic	realistic	ADJ
cana-5533	39	27	representations	representation	NOUN
cana-5533	39	28	of	of	ADP
cana-5533	39	29	system	system	NOUN
cana-5533	39	30	performance	performance	NOUN
cana-5533	39	31	under	under	ADP
cana-5533	39	32	uncertainty	uncertainty	NOUN
cana-5533	39	33	(	(	PUNCT
cana-5533	39	34	bai	bai	PROPN
cana-5533	39	35	&	&	CCONJ
cana-5533	39	36	wang	wang	PROPN
cana-5533	39	37	,	,	PUNCT
cana-5533	39	38	1993	1993	NUM
cana-5533	39	39	;	;	PUNCT
cana-5533	39	40	li	li	PROPN
cana-5533	39	41	&	&	CCONJ
cana-5533	39	42	pham	pham	PROPN
cana-5533	39	43	,	,	PUNCT
cana-5533	39	44	2005	2005	NUM
cana-5533	39	45	)	)	PUNCT
cana-5533	39	46	.	.	PUNCT
cana-5533	40	1	fuzzy	fuzzy	ADJ
cana-5533	40	2	reliability	reliability	NOUN
cana-5533	40	3	functions	function	NOUN
cana-5533	40	4	enable	enable	VERB
cana-5533	40	5	the	the	DET
cana-5533	40	6	analysis	analysis	NOUN
cana-5533	40	7	of	of	ADP
cana-5533	40	8	systems	system	NOUN
cana-5533	40	9	when	when	SCONJ
cana-5533	40	10	failure	failure	NOUN
cana-5533	40	11	data	data	NOUN
cana-5533	40	12	is	be	AUX
cana-5533	40	13	imprecise	imprecise	ADJ
cana-5533	40	14	or	or	CCONJ
cana-5533	40	15	based	base	VERB
cana-5533	40	16	on	on	ADP
cana-5533	40	17	expert	expert	ADJ
cana-5533	40	18	judgment	judgment	NOUN
cana-5533	40	19	,	,	PUNCT
cana-5533	40	20	making	make	VERB
cana-5533	40	21	them	they	PRON
cana-5533	40	22	applicable	applicable	ADJ
cana-5533	40	23	in	in	ADP
cana-5533	40	24	fields	field	NOUN
cana-5533	40	25	such	such	ADJ
cana-5533	40	26	as	as	ADP
cana-5533	40	27	mechanical	mechanical	ADJ
cana-5533	40	28	systems	system	NOUN
cana-5533	40	29	,	,	PUNCT
cana-5533	40	30	medical	medical	ADJ
cana-5533	40	31	diagnostics	diagnostic	NOUN
cana-5533	40	32	,	,	PUNCT
cana-5533	40	33	and	and	CCONJ
cana-5533	40	34	software	software	NOUN
cana-5533	40	35	reliability	reliability	NOUN
cana-5533	40	36	.	.	PUNCT
cana-5533	41	1	furthermore	furthermore	ADV
cana-5533	41	2	,	,	PUNCT
cana-5533	41	3	bayesian	bayesian	NOUN
cana-5533	41	4	estimation	estimation	NOUN
cana-5533	41	5	methods	method	NOUN
cana-5533	41	6	have	have	AUX
cana-5533	41	7	gained	gain	VERB
cana-5533	41	8	prominence	prominence	NOUN
cana-5533	41	9	in	in	ADP
cana-5533	41	10	lifetime	lifetime	NOUN
cana-5533	41	11	data	datum	NOUN
cana-5533	41	12	analysis	analysis	NOUN
cana-5533	41	13	due	due	ADP
cana-5533	41	14	to	to	ADP
cana-5533	41	15	their	their	PRON
cana-5533	41	16	ability	ability	NOUN
cana-5533	41	17	to	to	PART
cana-5533	41	18	incorporate	incorporate	VERB
cana-5533	41	19	prior	prior	ADJ
cana-5533	41	20	knowledge	knowledge	NOUN
cana-5533	41	21	and	and	CCONJ
cana-5533	41	22	generate	generate	VERB
cana-5533	41	23	full	full	ADJ
cana-5533	41	24	posterior	posterior	ADJ
cana-5533	41	25	distributions	distribution	NOUN
cana-5533	41	26	,	,	PUNCT
cana-5533	41	27	particularly	particularly	ADV
cana-5533	41	28	beneficial	beneficial	ADJ
cana-5533	41	29	in	in	ADP
cana-5533	41	30	small	small	ADJ
cana-5533	41	31	-	-	PUNCT
cana-5533	41	32	sample	sample	NOUN
cana-5533	41	33	or	or	CCONJ
cana-5533	41	34	uncertain	uncertain	ADJ
cana-5533	41	35	environments	environment	NOUN
cana-5533	41	36	(	(	PUNCT
cana-5533	41	37	box	box	PROPN
cana-5533	41	38	&	&	CCONJ
cana-5533	41	39	tiao	tiao	PROPN
cana-5533	41	40	,	,	PUNCT
cana-5533	41	41	1973	1973	NUM
cana-5533	41	42	;	;	PUNCT
cana-5533	41	43	bernardo	bernardo	NOUN
cana-5533	41	44	&	&	CCONJ
cana-5533	41	45	smith	smith	PROPN
cana-5533	41	46	,	,	PUNCT
cana-5533	41	47	1994	1994	NUM
cana-5533	41	48	)	)	PUNCT
cana-5533	41	49	.	.	PUNCT
cana-5533	42	1	unlike	unlike	ADP
cana-5533	42	2	frequentist	frequentist	NOUN
cana-5533	42	3	methods	method	NOUN
cana-5533	42	4	,	,	PUNCT
cana-5533	42	5	bayesian	bayesian	NOUN
cana-5533	42	6	inference	inference	NOUN
cana-5533	42	7	offers	offer	VERB
cana-5533	42	8	a	a	DET
cana-5533	42	9	coherent	coherent	ADJ
cana-5533	42	10	framework	framework	NOUN
cana-5533	42	11	for	for	ADP
cana-5533	42	12	updating	update	VERB
cana-5533	42	13	beliefs	belief	NOUN
cana-5533	42	14	in	in	ADP
cana-5533	42	15	the	the	DET
cana-5533	42	16	presence	presence	NOUN
cana-5533	42	17	of	of	ADP
cana-5533	42	18	new	new	ADJ
cana-5533	42	19	evidence	evidence	NOUN
cana-5533	42	20	,	,	PUNCT
cana-5533	42	21	making	make	VERB
cana-5533	42	22	it	it	PRON
cana-5533	42	23	especially	especially	ADV
cana-5533	42	24	suitable	suitable	ADJ
cana-5533	42	25	for	for	ADP
cana-5533	42	26	reliability	reliability	NOUN
cana-5533	42	27	and	and	CCONJ
cana-5533	42	28	risk	risk	NOUN
cana-5533	42	29	applications	application	NOUN
cana-5533	42	30	where	where	SCONJ
cana-5533	42	31	prior	prior	ADJ
cana-5533	42	32	expertise	expertise	NOUN
cana-5533	42	33	is	be	AUX
cana-5533	42	34	often	often	ADV
cana-5533	42	35	available	available	ADJ
cana-5533	42	36	.	.	PUNCT
cana-5533	43	1	motivated	motivate	VERB
cana-5533	43	2	by	by	ADP
cana-5533	43	3	the	the	DET
cana-5533	43	4	need	need	NOUN
cana-5533	43	5	for	for	ADP
cana-5533	43	6	a	a	DET
cana-5533	43	7	more	more	ADV
cana-5533	43	8	adaptable	adaptable	ADJ
cana-5533	43	9	and	and	CCONJ
cana-5533	43	10	uncertainty	uncertainty	NOUN
cana-5533	43	11	-	-	PUNCT
cana-5533	43	12	aware	aware	ADJ
cana-5533	43	13	framework	framework	NOUN
cana-5533	43	14	,	,	PUNCT
cana-5533	43	15	this	this	DET
cana-5533	43	16	study	study	NOUN
cana-5533	43	17	proposes	propose	VERB
cana-5533	43	18	a	a	DET
cana-5533	43	19	novel	novel	ADJ
cana-5533	43	20	one	one	NUM
cana-5533	43	21	-	-	PUNCT
cana-5533	43	22	parameter	parameter	NOUN
cana-5533	43	23	probability	probability	NOUN
cana-5533	43	24	model	model	NOUN
cana-5533	43	25	with	with	ADP
cana-5533	43	26	desirable	desirable	ADJ
cana-5533	43	27	statistical	statistical	ADJ
cana-5533	43	28	properties	property	NOUN
cana-5533	43	29	and	and	CCONJ
cana-5533	43	30	practical	practical	ADJ
cana-5533	43	31	relevance	relevance	NOUN
cana-5533	43	32	.	.	PUNCT
cana-5533	44	1	the	the	DET
cana-5533	44	2	model	model	NOUN
cana-5533	44	3	is	be	AUX
cana-5533	44	4	analyzed	analyze	VERB
cana-5533	44	5	from	from	ADP
cana-5533	44	6	multiple	multiple	ADJ
cana-5533	44	7	perspectives	perspective	NOUN
cana-5533	44	8	:	:	PUNCT
cana-5533	44	9	communications	communication	NOUN
cana-5533	44	10	on	on	ADP
cana-5533	44	11	applied	apply	VERB
cana-5533	44	12	nonlinear	nonlinear	ADJ
cana-5533	44	13	analysis	analysis	NOUN
cana-5533	44	14	issn	issn	NOUN
cana-5533	44	15	:	:	PUNCT
cana-5533	44	16	1074	1074	NUM
cana-5533	44	17	-	-	PUNCT
cana-5533	44	18	133x	133x	NUM
cana-5533	44	19	vol	vol	VERB
cana-5533	44	20	32	32	NUM
cana-5533	44	21	no	no	NOUN
cana-5533	44	22	.	.	PUNCT
cana-5533	45	1	10s	10	NOUN
cana-5533	45	2	(	(	PUNCT
cana-5533	45	3	2025	2025	NUM
cana-5533	45	4	)	)	PUNCT
cana-5533	45	5	2550	2550	NUM
cana-5533	45	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-5533	46	1	1	1	X
cana-5533	46	2	.	.	PUNCT
cana-5533	46	3	fuzzy	fuzzy	ADJ
cana-5533	46	4	reliability	reliability	NOUN
cana-5533	46	5	analysis	analysis	NOUN
cana-5533	46	6	is	be	AUX
cana-5533	46	7	developed	develop	VERB
cana-5533	46	8	to	to	PART
cana-5533	46	9	handle	handle	VERB
cana-5533	46	10	vague	vague	ADJ
cana-5533	46	11	or	or	CCONJ
cana-5533	46	12	imprecise	imprecise	ADJ
cana-5533	46	13	failure	failure	NOUN
cana-5533	46	14	times	time	NOUN
cana-5533	46	15	.	.	PUNCT
cana-5533	47	1	2	2	X
cana-5533	47	2	.	.	X
cana-5533	47	3	bayesian	bayesian	NOUN
cana-5533	47	4	estimation	estimation	NOUN
cana-5533	47	5	procedures	procedure	NOUN
cana-5533	47	6	are	be	AUX
cana-5533	47	7	formulated	formulate	VERB
cana-5533	47	8	under	under	ADP
cana-5533	47	9	different	different	ADJ
cana-5533	47	10	loss	loss	NOUN
cana-5533	47	11	functions	function	NOUN
cana-5533	47	12	and	and	CCONJ
cana-5533	47	13	prior	prior	ADJ
cana-5533	47	14	structures	structure	NOUN
cana-5533	47	15	.	.	PUNCT
cana-5533	48	1	3	3	X
cana-5533	48	2	.	.	X
cana-5533	48	3	a	a	DET
cana-5533	48	4	goodness	goodness	NOUN
cana-5533	48	5	-	-	PUNCT
cana-5533	48	6	of	of	ADP
cana-5533	48	7	-	-	PUNCT
cana-5533	48	8	fit	fit	ADJ
cana-5533	48	9	test	test	NOUN
cana-5533	48	10	is	be	AUX
cana-5533	48	11	proposed	propose	VERB
cana-5533	48	12	to	to	PART
cana-5533	48	13	validate	validate	VERB
cana-5533	48	14	the	the	DET
cana-5533	48	15	empirical	empirical	ADJ
cana-5533	48	16	adequacy	adequacy	NOUN
cana-5533	48	17	of	of	ADP
cana-5533	48	18	the	the	DET
cana-5533	48	19	model	model	NOUN
cana-5533	48	20	using	use	VERB
cana-5533	48	21	real	real	ADJ
cana-5533	48	22	and	and	CCONJ
cana-5533	48	23	simulated	simulated	ADJ
cana-5533	48	24	data	datum	NOUN
cana-5533	48	25	.	.	PUNCT
cana-5533	49	1	4	4	X
cana-5533	49	2	.	.	X
cana-5533	49	3	a	a	DET
cana-5533	49	4	simulation	simulation	NOUN
cana-5533	49	5	study	study	NOUN
cana-5533	49	6	is	be	AUX
cana-5533	49	7	conducted	conduct	VERB
cana-5533	49	8	to	to	PART
cana-5533	49	9	evaluate	evaluate	VERB
cana-5533	49	10	the	the	DET
cana-5533	49	11	performance	performance	NOUN
cana-5533	49	12	of	of	ADP
cana-5533	49	13	the	the	DET
cana-5533	49	14	estimators	estimator	NOUN
cana-5533	49	15	and	and	CCONJ
cana-5533	49	16	compare	compare	VERB
cana-5533	49	17	the	the	DET
cana-5533	49	18	model	model	NOUN
cana-5533	49	19	's	's	PART
cana-5533	49	20	flexibility	flexibility	NOUN
cana-5533	49	21	against	against	ADP
cana-5533	49	22	classical	classical	ADJ
cana-5533	49	23	distributions	distribution	NOUN
cana-5533	49	24	.	.	PUNCT
cana-5533	50	1	the	the	DET
cana-5533	50	2	proposed	propose	VERB
cana-5533	50	3	framework	framework	NOUN
cana-5533	50	4	aims	aim	VERB
cana-5533	50	5	to	to	PART
cana-5533	50	6	bridge	bridge	VERB
cana-5533	50	7	the	the	DET
cana-5533	50	8	gap	gap	NOUN
cana-5533	50	9	between	between	ADP
cana-5533	50	10	traditional	traditional	ADJ
cana-5533	50	11	reliability	reliability	NOUN
cana-5533	50	12	analysis	analysis	NOUN
cana-5533	50	13	and	and	CCONJ
cana-5533	50	14	modern	modern	ADJ
cana-5533	50	15	uncertainty	uncertainty	NOUN
cana-5533	50	16	modeling	modeling	NOUN
cana-5533	50	17	,	,	PUNCT
cana-5533	50	18	contributing	contribute	VERB
cana-5533	50	19	significantly	significantly	ADV
cana-5533	50	20	to	to	ADP
cana-5533	50	21	applied	apply	VERB
cana-5533	50	22	statistics	statistic	NOUN
cana-5533	50	23	and	and	CCONJ
cana-5533	50	24	engineering	engineering	NOUN
cana-5533	50	25	fields	field	NOUN
cana-5533	50	26	.	.	PUNCT
cana-5533	51	1	in	in	ADP
cana-5533	51	2	this	this	DET
cana-5533	51	3	work	work	NOUN
cana-5533	51	4	,	,	PUNCT
cana-5533	51	5	we	we	PRON
cana-5533	51	6	primarily	primarily	ADV
cana-5533	51	7	investigate	investigate	VERB
cana-5533	51	8	the	the	DET
cana-5533	51	9	fuzzy	fuzzy	ADJ
cana-5533	51	10	reliability	reliability	NOUN
cana-5533	51	11	of	of	ADP
cana-5533	51	12	one	one	NUM
cana-5533	51	13	-	-	PUNCT
cana-5533	51	14	parameter	parameter	NOUN
cana-5533	51	15	models	model	NOUN
cana-5533	51	16	,	,	PUNCT
cana-5533	51	17	specifically	specifically	ADV
cana-5533	51	18	the	the	DET
cana-5533	51	19	exponential	exponential	ADJ
cana-5533	51	20	xlindley	xlindley	ADJ
cana-5533	51	21	distribution	distribution	NOUN
cana-5533	51	22	suggested	suggest	VERB
cana-5533	51	23	by	by	ADP
cana-5533	51	24	grabsia	grabsia	PROPN
cana-5533	51	25	and	and	CCONJ
cana-5533	51	26	grine	grine	PROPN
cana-5533	51	27	(	(	PUNCT
cana-5533	51	28	2025	2025	NUM
cana-5533	51	29	)	)	PUNCT
cana-5533	51	30	and	and	CCONJ
cana-5533	51	31	the	the	DET
cana-5533	51	32	exponential	exponential	ADJ
cana-5533	51	33	lindley	lindley	NOUN
cana-5533	51	34	distribution	distribution	NOUN
cana-5533	51	35	presented	present	VERB
cana-5533	51	36	by	by	ADP
cana-5533	51	37	belhamra	belhamra	PROPN
cana-5533	51	38	et	et	PROPN
cana-5533	51	39	al	al	PROPN
cana-5533	51	40	.	.	PROPN
cana-5533	52	1	(	(	PUNCT
cana-5533	52	2	2022	2022	NUM
cana-5533	52	3	)	)	PUNCT
cana-5533	52	4	.	.	PUNCT
cana-5533	53	1	lastly	lastly	ADV
cana-5533	53	2	,	,	PUNCT
cana-5533	53	3	we	we	PRON
cana-5533	53	4	examine	examine	VERB
cana-5533	53	5	the	the	DET
cana-5533	53	6	one	one	NUM
cana-5533	53	7	-	-	PUNCT
cana-5533	53	8	parameter	parameter	NOUN
cana-5533	53	9	model	model	NOUN
cana-5533	53	10	(	(	PUNCT
cana-5533	53	11	opm	opm	PROPN
cana-5533	53	12	)	)	PUNCT
cana-5533	53	13	as	as	ADP
cana-5533	53	14	a	a	DET
cana-5533	53	15	particular	particular	ADJ
cana-5533	53	16	instance	instance	NOUN
cana-5533	53	17	of	of	ADP
cana-5533	53	18	the	the	DET
cana-5533	53	19	two	two	NUM
cana-5533	53	20	-	-	PUNCT
cana-5533	53	21	parameter	parameter	NOUN
cana-5533	53	22	family	family	NOUN
cana-5533	53	23	.	.	PUNCT
cana-5533	54	1	the	the	DET
cana-5533	54	2	density	density	NOUN
cana-5533	54	3	is	be	AUX
cana-5533	54	4	𝑝(𝑥	𝑝(𝑥	NOUN
cana-5533	54	5	;	;	PUNCT
cana-5533	54	6	𝜔	𝜔	X
cana-5533	54	7	)	)	PUNCT
cana-5533	54	8	=	=	PUNCT
cana-5533	54	9	𝜔	𝜔	DET
cana-5533	54	10	3	3	NUM
cana-5533	54	11	(	(	PUNCT
cana-5533	54	12	1	1	NUM
cana-5533	54	13	+	+	NUM
cana-5533	54	14	2𝜔𝑥)𝑒𝑥𝑝−𝜔𝑥	2𝜔𝑥)𝑒𝑥𝑝−𝜔𝑥	NUM
cana-5533	54	15	the	the	DET
cana-5533	54	16	corresponding	corresponding	ADJ
cana-5533	54	17	cumulative	cumulative	ADJ
cana-5533	54	18	distribution	distribution	NOUN
cana-5533	54	19	function	function	NOUN
cana-5533	54	20	(	(	PUNCT
cana-5533	54	21	cdf	cdf	PROPN
cana-5533	54	22	)	)	PUNCT
cana-5533	54	23	,	,	PUNCT
cana-5533	54	24	the	the	DET
cana-5533	54	25	survival	survival	NOUN
cana-5533	54	26	function	function	NOUN
cana-5533	54	27	(	(	PUNCT
cana-5533	54	28	sf	sf	NOUN
cana-5533	54	29	)	)	PUNCT
cana-5533	54	30	and	and	CCONJ
cana-5533	54	31	hazard	hazard	NOUN
cana-5533	54	32	rate	rate	NOUN
cana-5533	54	33	function	function	NOUN
cana-5533	54	34	(	(	PUNCT
cana-5533	54	35	hrf	hrf	PROPN
cana-5533	54	36	)	)	PUNCT
cana-5533	54	37	are	be	AUX
cana-5533	54	38	given	give	VERB
cana-5533	54	39	by	by	ADP
cana-5533	54	40	𝑃(𝑥	𝑃(𝑥	PRON
cana-5533	54	41	;	;	PUNCT
cana-5533	54	42	𝜔	𝜔	X
cana-5533	54	43	)	)	PUNCT
cana-5533	54	44	=	=	SYM
cana-5533	54	45	1	1	NUM
cana-5533	54	46	−	−	PROPN
cana-5533	54	47	𝑒−𝜔𝑥	𝑒−𝜔𝑥	PROPN
cana-5533	54	48	(	(	PUNCT
cana-5533	54	49	1	1	NUM
cana-5533	54	50	+	+	NUM
cana-5533	54	51	2	2	NUM
cana-5533	54	52	3	3	NUM
cana-5533	54	53	𝜔2𝑥	𝜔2𝑥	NOUN
cana-5533	54	54	)	)	PUNCT
cana-5533	54	55	,	,	PUNCT
cana-5533	54	56	𝑥	𝑥	X
cana-5533	54	57	,	,	PUNCT
cana-5533	54	58	𝜔	𝜔	X
cana-5533	54	59	≻	≻	PROPN
cana-5533	54	60	0	0	NUM
cana-5533	54	61	.	.	PUNCT
cana-5533	55	1	𝑆(𝑡	𝑆(𝑡	VERB
cana-5533	55	2	;	;	PUNCT
cana-5533	55	3	𝜔	𝜔	NUM
cana-5533	55	4	)	)	PUNCT
cana-5533	55	5	=	=	SYM
cana-5533	55	6	𝑒−𝜔𝑥	𝑒−𝜔𝑥	PROPN
cana-5533	55	7	(	(	PUNCT
cana-5533	55	8	1	1	NUM
cana-5533	55	9	+	+	NUM
cana-5533	55	10	2	2	NUM
cana-5533	55	11	3	3	NUM
cana-5533	55	12	𝜔2𝑥	𝜔2𝑥	NOUN
cana-5533	55	13	)	)	PUNCT
cana-5533	55	14	,	,	PUNCT
cana-5533	55	15	𝑥	𝑥	X
cana-5533	55	16	,	,	PUNCT
cana-5533	55	17	𝜔	𝜔	X
cana-5533	55	18	≻	≻	PROPN
cana-5533	55	19	0	0	NUM
cana-5533	55	20	.	.	PUNCT
cana-5533	56	1	ℎ(𝑡	ℎ(𝑡	PROPN
cana-5533	56	2	;	;	PUNCT
cana-5533	56	3	𝜔	𝜔	X
cana-5533	56	4	)	)	PUNCT
cana-5533	56	5	=	=	PUNCT
cana-5533	56	6	𝜔²(1	𝜔²(1	PROPN
cana-5533	56	7	+	+	NOUN
cana-5533	56	8	2𝜔𝑥	2𝜔𝑥	NOUN
cana-5533	56	9	)	)	PUNCT
cana-5533	56	10	2𝜔²𝑥+	2𝜔²𝑥+	NUM
cana-5533	56	11	1	1	NUM
cana-5533	56	12	3	3	NUM
cana-5533	56	13	this	this	PRON
cana-5533	56	14	is	be	AUX
cana-5533	56	15	how	how	SCONJ
cana-5533	56	16	the	the	DET
cana-5533	56	17	remainder	remainder	NOUN
cana-5533	56	18	of	of	ADP
cana-5533	56	19	the	the	DET
cana-5533	56	20	paper	paper	NOUN
cana-5533	56	21	is	be	AUX
cana-5533	56	22	structured	structure	VERB
cana-5533	56	23	.	.	PUNCT
cana-5533	57	1	the	the	DET
cana-5533	57	2	new	new	ADJ
cana-5533	57	3	model	model	NOUN
cana-5533	57	4	is	be	AUX
cana-5533	57	5	explained	explain	VERB
cana-5533	57	6	in	in	ADP
cana-5533	57	7	the	the	DET
cana-5533	57	8	second	second	ADJ
cana-5533	57	9	section	section	NOUN
cana-5533	57	10	,	,	PUNCT
cana-5533	57	11	and	and	CCONJ
cana-5533	57	12	its	its	PRON
cana-5533	57	13	statistical	statistical	ADJ
cana-5533	57	14	characteristics	characteristic	NOUN
cana-5533	57	15	are	be	AUX
cana-5533	57	16	shown	show	VERB
cana-5533	57	17	in	in	ADP
cana-5533	57	18	the	the	DET
cana-5533	57	19	third	third	NOUN
cana-5533	57	20	.	.	PUNCT
cana-5533	58	1	the	the	DET
cana-5533	58	2	comparative	comparative	ADJ
cana-5533	58	3	study	study	NOUN
cana-5533	58	4	around	around	ADP
cana-5533	58	5	the	the	DET
cana-5533	58	6	fuzzy	fuzzy	ADJ
cana-5533	58	7	reliability	reliability	NOUN
cana-5533	58	8	of	of	ADP
cana-5533	58	9	three	three	NUM
cana-5533	58	10	new	new	ADJ
cana-5533	58	11	models	model	NOUN
cana-5533	58	12	in	in	ADP
cana-5533	58	13	section	section	NOUN
cana-5533	58	14	4	4	NUM
cana-5533	58	15	.	.	PUNCT
cana-5533	59	1	the	the	DET
cana-5533	59	2	goodness	goodness	NOUN
cana-5533	59	3	-	-	PUNCT
cana-5533	59	4	of	of	ADP
cana-5533	59	5	-	-	PUNCT
cana-5533	59	6	fit	fit	NOUN
cana-5533	59	7	test	test	NOUN
cana-5533	59	8	and	and	CCONJ
cana-5533	59	9	the	the	DET
cana-5533	59	10	numerical	numerical	PROPN
cana-5533	59	11	simulation	simulation	NOUN
cana-5533	59	12	of	of	ADP
cana-5533	59	13	the	the	DET
cana-5533	59	14	new	new	ADJ
cana-5533	59	15	model	model	NOUN
cana-5533	59	16	are	be	AUX
cana-5533	59	17	presented	present	VERB
cana-5533	59	18	in	in	ADP
cana-5533	59	19	section	section	NOUN
cana-5533	59	20	5	5	NUM
cana-5533	59	21	.	.	PUNCT
cana-5533	60	1	ultimately	ultimately	ADV
cana-5533	60	2	,	,	PUNCT
cana-5533	60	3	we	we	PRON
cana-5533	60	4	examine	examine	VERB
cana-5533	60	5	the	the	DET
cana-5533	60	6	bayesian	bayesian	NOUN
cana-5533	60	7	estimators	estimator	NOUN
cana-5533	60	8	under	under	ADP
cana-5533	60	9	different	different	ADJ
cana-5533	60	10	loss	loss	NOUN
cana-5533	60	11	functions	function	NOUN
cana-5533	60	12	in	in	ADP
cana-5533	60	13	section	section	NOUN
cana-5533	60	14	6	6	NUM
cana-5533	60	15	.	.	NOUN
cana-5533	60	16	2	2	NUM
cana-5533	60	17	.	.	X
cana-5533	60	18	a	a	DET
cana-5533	60	19	general	general	ADJ
cana-5533	60	20	theoretical	theoretical	ADJ
cana-5533	60	21	result	result	NOUN
cana-5533	60	22	asymptotic	asymptotic	ADJ
cana-5533	60	23	behaviour	behaviour	NOUN
cana-5533	60	24	the	the	DET
cana-5533	60	25	shape	shape	NOUN
cana-5533	60	26	properties	property	NOUN
cana-5533	60	27	of	of	ADP
cana-5533	60	28	the	the	DET
cana-5533	60	29	pdf	pdf	NOUN
cana-5533	60	30	and	and	CCONJ
cana-5533	60	31	hrf	hrf	PROPN
cana-5533	60	32	of	of	ADP
cana-5533	60	33	opm	opm	PROPN
cana-5533	60	34	are	be	AUX
cana-5533	60	35	covered	cover	VERB
cana-5533	60	36	in	in	ADP
cana-5533	60	37	this	this	DET
cana-5533	60	38	subsection	subsection	NOUN
cana-5533	60	39	in	in	ADP
cana-5533	60	40	(	(	PUNCT
cana-5533	60	41	ref	ref	NOUN
cana-5533	60	42	:	:	PUNCT
cana-5533	60	43	pdf	pdf	NOUN
cana-5533	60	44	)	)	PUNCT
cana-5533	60	45	and	and	CCONJ
cana-5533	60	46	(	(	PUNCT
cana-5533	60	47	ref	ref	NOUN
cana-5533	60	48	:	:	PUNCT
cana-5533	60	49	hrf	hrf	PROPN
cana-5533	60	50	)	)	PUNCT
cana-5533	60	51	,	,	PUNCT
cana-5533	60	52	respectively	respectively	ADV
cana-5533	60	53	.	.	PUNCT
cana-5533	61	1	the	the	DET
cana-5533	61	2	opm	opm	PROPN
cana-5533	61	3	behavior	behavior	NOUN
cana-5533	61	4	at	at	ADP
cana-5533	61	5	𝑎𝑡	𝑎𝑡	ADP
cana-5533	61	6	𝑥	𝑥	PROPN
cana-5533	61	7	=	=	SYM
cana-5533	61	8	0	0	NUM
cana-5533	61	9	𝑎𝑛𝑑	𝑎𝑛𝑑	NOUN
cana-5533	61	10	𝑥	𝑥	PROPN
cana-5533	61	11	=	=	SYM
cana-5533	61	12	∞	∞	PROPN
cana-5533	61	13	,	,	PUNCT
cana-5533	61	14	respectively	respectively	ADV
cana-5533	61	15	,	,	PUNCT
cana-5533	61	16	is	be	AUX
cana-5533	61	17	provided	provide	VERB
cana-5533	61	18	by	by	ADP
cana-5533	61	19	lim	lim	PROPN
cana-5533	61	20	𝑥→0	𝑥→0	PROPN
cana-5533	61	21	𝑝(𝑥	𝑝(𝑥	PROPN
cana-5533	61	22	;	;	PUNCT
cana-5533	61	23	𝜔	𝜔	X
cana-5533	61	24	)	)	PUNCT
cana-5533	61	25	=	=	SYM
cana-5533	61	26	1	1	NUM
cana-5533	61	27	3	3	NUM
cana-5533	61	28	𝜔²	𝜔²	NOUN
cana-5533	61	29	𝜔	𝜔	PROPN
cana-5533	61	30	1	1	NUM
cana-5533	61	31	3	3	NUM
cana-5533	61	32	+	+	CCONJ
cana-5533	61	33	(	(	PUNCT
cana-5533	61	34	2	2	NUM
cana-5533	61	35	3	3	NUM
cana-5533	61	36	)	)	PUNCT
cana-5533	61	37	𝜔	𝜔	PART
cana-5533	61	38	=	=	SYM
cana-5533	61	39	1	1	NUM
cana-5533	61	40	3	3	NUM
cana-5533	61	41	𝜔	𝜔	NOUN
cana-5533	61	42	lim	lim	PROPN
cana-5533	61	43	𝑥→∞	𝑥→∞	NUM
cana-5533	61	44	𝑝(𝑥	𝑝(𝑥	NUM
cana-5533	61	45	;	;	PUNCT
cana-5533	61	46	𝜔	𝜔	X
cana-5533	61	47	)	)	PUNCT
cana-5533	61	48	=	=	SYM
cana-5533	62	1	0	0	X
cana-5533	62	2	.	.	PUNCT
cana-5533	63	1	the	the	DET
cana-5533	63	2	behavior	behavior	NOUN
cana-5533	63	3	of	of	ADP
cana-5533	63	4	ℎ(𝑥	ℎ(𝑥	NUM
cana-5533	63	5	;	;	PUNCT
cana-5533	63	6	𝜔	𝜔	X
cana-5533	63	7	)	)	PUNCT
cana-5533	63	8	𝑎𝑡	𝑎𝑡	ADP
cana-5533	63	9	𝑥	𝑥	NOUN
cana-5533	63	10	=	=	SYM
cana-5533	63	11	0	0	NUM
cana-5533	63	12	𝑎𝑛𝑑	𝑎𝑛𝑑	NOUN
cana-5533	63	13	𝑥	𝑥	PROPN
cana-5533	63	14	=	=	SYM
cana-5533	63	15	∞	∞	PROPN
cana-5533	63	16	,	,	PUNCT
cana-5533	63	17	respectively	respectively	ADV
cana-5533	63	18	,	,	PUNCT
cana-5533	63	19	are	be	AUX
cana-5533	63	20	given	give	VERB
cana-5533	63	21	by	by	ADP
cana-5533	63	22	communications	communication	NOUN
cana-5533	63	23	on	on	ADP
cana-5533	63	24	applied	apply	VERB
cana-5533	63	25	nonlinear	nonlinear	ADJ
cana-5533	63	26	analysis	analysis	NOUN
cana-5533	63	27	issn	issn	NOUN
cana-5533	63	28	:	:	PUNCT
cana-5533	63	29	1074	1074	NUM
cana-5533	63	30	-	-	PUNCT
cana-5533	63	31	133x	133x	NUM
cana-5533	63	32	vol	vol	VERB
cana-5533	63	33	32	32	NUM
cana-5533	63	34	no	no	NOUN
cana-5533	63	35	.	.	PUNCT
cana-5533	64	1	10s	10	NOUN
cana-5533	64	2	(	(	PUNCT
cana-5533	64	3	2025	2025	NUM
cana-5533	64	4	)	)	PUNCT
cana-5533	64	5	2551	2551	NUM
cana-5533	64	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-5533	65	1	lim	lim	PROPN
cana-5533	65	2	𝑥→0	𝑥→0	X
cana-5533	65	3	ℎ(𝑥	ℎ(𝑥	NUM
cana-5533	65	4	;	;	PUNCT
cana-5533	65	5	𝜔	𝜔	X
cana-5533	65	6	)	)	PUNCT
cana-5533	65	7	=	=	SYM
cana-5533	65	8	1	1	NUM
cana-5533	65	9	3	3	NUM
cana-5533	65	10	𝜔²	𝜔²	NOUN
cana-5533	65	11	𝜔	𝜔	PROPN
cana-5533	65	12	1	1	NUM
cana-5533	65	13	3	3	NUM
cana-5533	65	14	+	+	CCONJ
cana-5533	65	15	(	(	PUNCT
cana-5533	65	16	2	2	NUM
cana-5533	65	17	3	3	NUM
cana-5533	65	18	)	)	PUNCT
cana-5533	65	19	𝜔	𝜔	PART
cana-5533	65	20	=	=	SYM
cana-5533	65	21	1	1	NUM
cana-5533	65	22	3	3	NUM
cana-5533	65	23	𝜔	𝜔	PRON
cana-5533	65	24	lim	lim	PROPN
cana-5533	65	25	𝑥→∞	𝑥→∞	NUM
cana-5533	65	26	ℎ(𝑥	ℎ(𝑥	NUM
cana-5533	65	27	;	;	PUNCT
cana-5533	65	28	𝜔	𝜔	X
cana-5533	65	29	)	)	PUNCT
cana-5533	65	30	=	=	PUNCT
cana-5533	66	1	𝜔.	𝜔.	NOUN
cana-5533	66	2	according	accord	VERB
cana-5533	66	3	to	to	ADP
cana-5533	66	4	the	the	DET
cana-5533	66	5	following	follow	VERB
cana-5533	66	6	claim	claim	NOUN
cana-5533	66	7	,	,	PUNCT
cana-5533	66	8	the	the	DET
cana-5533	66	9	range	range	NOUN
cana-5533	66	10	of	of	ADP
cana-5533	66	11	the	the	DET
cana-5533	66	12	parameters	parameter	NOUN
cana-5533	66	13	𝜔	𝜔	VERB
cana-5533	66	14	for	for	ADP
cana-5533	66	15	the	the	DET
cana-5533	66	16	pdf	pdf	NOUN
cana-5533	66	17	of	of	ADP
cana-5533	66	18	the	the	DET
cana-5533	66	19	one	one	NUM
cana-5533	66	20	-	-	PUNCT
cana-5533	66	21	parameter	parameter	NOUN
cana-5533	66	22	polynomial	polynomial	ADJ
cana-5533	66	23	exponential	exponential	ADJ
cana-5533	66	24	distribution	distribution	NOUN
cana-5533	66	25	.	.	PUNCT
cana-5533	67	1	moments	moment	NOUN
cana-5533	67	2	and	and	CCONJ
cana-5533	67	3	related	related	ADJ
cana-5533	67	4	measures	measure	NOUN
cana-5533	67	5	of	of	ADP
cana-5533	67	6	𝑶𝑷𝑴	𝑶𝑷𝑴	PROPN
cana-5533	67	7	let	let	VERB
cana-5533	67	8	𝑋	𝑋	NOUN
cana-5533	67	9	∼	∼	NOUN
cana-5533	67	10	𝑂𝑃𝑀	𝑂𝑃𝑀	PROPN
cana-5533	67	11	,	,	PUNCT
cana-5533	67	12	then	then	ADV
cana-5533	67	13	the	the	DET
cana-5533	67	14	i	i	PROPN
cana-5533	67	15	th	th	INTJ
cana-5533	67	16	moment	moment	NOUN
cana-5533	67	17	of	of	ADP
cana-5533	67	18	x	x	PUNCT
cana-5533	67	19	is	be	AUX
cana-5533	67	20	determined	determine	VERB
cana-5533	67	21	as	as	SCONJ
cana-5533	67	22	follows	follow	VERB
cana-5533	67	23	𝐸(𝑋𝑖	𝐸(𝑋𝑖	PROPN
cana-5533	67	24	)	)	PUNCT
cana-5533	67	25	=	=	PRON
cana-5533	67	26	𝛤(1	𝛤(1	PUNCT
cana-5533	68	1	+	+	SYM
cana-5533	68	2	𝑖	𝑖	X
cana-5533	68	3	)	)	PUNCT
cana-5533	68	4	𝜔2+𝑖	𝜔2+𝑖	X
cana-5533	68	5	[	[	PUNCT
cana-5533	68	6	1	1	NUM
cana-5533	68	7	3	3	NUM
cana-5533	68	8	𝜔	𝜔	NOUN
cana-5533	68	9	+	+	NOUN
cana-5533	68	10	2	2	NUM
cana-5533	68	11	3	3	NUM
cana-5533	68	12	𝜔(1	𝜔(1	PROPN
cana-5533	68	13	+	+	NUM
cana-5533	68	14	𝑖	𝑖	X
cana-5533	68	15	)	)	PUNCT
cana-5533	68	16	]	]	PUNCT
cana-5533	69	1	hence	hence	ADV
cana-5533	69	2	,	,	PUNCT
cana-5533	69	3	the	the	DET
cana-5533	69	4	first	first	ADJ
cana-5533	69	5	four	four	NUM
cana-5533	69	6	moments	moment	NOUN
cana-5533	69	7	of	of	ADP
cana-5533	69	8	the	the	DET
cana-5533	69	9	𝑂𝑃𝑀	𝑂𝑃𝑀	PROPN
cana-5533	69	10	random	random	ADJ
cana-5533	69	11	variable	variable	NOUN
cana-5533	69	12	can	can	AUX
cana-5533	69	13	be	be	AUX
cana-5533	69	14	found	find	VERB
cana-5533	69	15	by	by	ADP
cana-5533	69	16	substituting	substitute	VERB
cana-5533	69	17	i=1,2,3,4	i=1,2,3,4	NOUN
cana-5533	69	18	,	,	PUNCT
cana-5533	69	19	respectively	respectively	ADV
cana-5533	69	20	,	,	PUNCT
cana-5533	69	21	in	in	ADP
cana-5533	69	22	equation	equation	NOUN
cana-5533	69	23	(	(	PUNCT
cana-5533	69	24	ref	ref	NOUN
cana-5533	69	25	:	:	PUNCT
cana-5533	69	26	mm	mm	NUM
cana-5533	69	27	)	)	PUNCT
cana-5533	69	28	.	.	PUNCT
cana-5533	70	1	they	they	PRON
cana-5533	70	2	are	be	AUX
cana-5533	70	3	used	use	VERB
cana-5533	70	4	to	to	PART
cana-5533	70	5	determine	determine	VERB
cana-5533	70	6	variance	variance	NOUN
cana-5533	70	7	,	,	PUNCT
cana-5533	70	8	skewness	skewness	NOUN
cana-5533	70	9	,	,	PUNCT
cana-5533	70	10	kurtosis	kurtosis	NOUN
cana-5533	70	11	and	and	CCONJ
cana-5533	70	12	coefficient	coefficient	NOUN
cana-5533	70	13	of	of	ADP
cana-5533	70	14	variation	variation	NOUN
cana-5533	70	15	of	of	ADP
cana-5533	70	16	𝑂𝑃𝑀	𝑂𝑃𝑀	PROPN
cana-5533	70	17	,	,	PUNCT
cana-5533	70	18	respectively	respectively	ADV
cana-5533	70	19	,	,	PUNCT
cana-5533	70	20	as	as	SCONJ
cana-5533	70	21	follows	follow	VERB
cana-5533	70	22	𝑉𝑎𝑟(𝑋	𝑉𝑎𝑟(𝑋	NOUN
cana-5533	70	23	)	)	PUNCT
cana-5533	70	24	=	=	SYM
cana-5533	70	25	𝐸(𝑋²	𝐸(𝑋²	NUM
cana-5533	70	26	)	)	PUNCT
cana-5533	71	1	−	−	NOUN
cana-5533	71	2	𝐸(𝑋	𝐸(𝑋	NOUN
cana-5533	71	3	)	)	PUNCT
cana-5533	71	4	=	=	SYM
cana-5533	71	5	2	2	NUM
cana-5533	71	6	1	1	NUM
cana-5533	71	7	3	3	NUM
cana-5533	71	8	𝜔³+6	𝜔³+6	CCONJ
cana-5533	71	9	(	(	PUNCT
cana-5533	71	10	2	2	NUM
cana-5533	71	11	3	3	NUM
cana-5533	71	12	)	)	PUNCT
cana-5533	71	13	𝜔³−	𝜔³−	PROPN
cana-5533	71	14	(	(	PUNCT
cana-5533	71	15	2	2	NUM
cana-5533	71	16	3	3	NUM
cana-5533	71	17	)	)	PUNCT
cana-5533	71	18	²𝜔²−4	²𝜔²−4	PROPN
cana-5533	71	19	1	1	NUM
cana-5533	71	20	3	3	NUM
cana-5533	71	21	(	(	PUNCT
cana-5533	71	22	2	2	NUM
cana-5533	71	23	3	3	NUM
cana-5533	71	24	)	)	PUNCT
cana-5533	71	25	𝜔²−4	𝜔²−4	CCONJ
cana-5533	71	26	(	(	PUNCT
cana-5533	71	27	2	2	NUM
cana-5533	71	28	3	3	NUM
cana-5533	71	29	)	)	PUNCT
cana-5533	71	30	²𝜔²	²𝜔²	NOUN
cana-5533	72	1	𝜔⁶	𝜔⁶	NOUN
cana-5533	72	2	=	=	SYM
cana-5533	72	3	2(6𝜔	2(6𝜔	NUM
cana-5533	72	4	−	−	NUM
cana-5533	72	5	4	4	NUM
cana-5533	72	6	)	)	PUNCT
cana-5533	72	7	+	+	CCONJ
cana-5533	72	8	(	(	PUNCT
cana-5533	72	9	2𝜔	2𝜔	NOUN
cana-5533	72	10	−	−	PROPN
cana-5533	72	11	1	1	NUM
cana-5533	72	12	3	3	NUM
cana-5533	72	13	)	)	PUNCT
cana-5533	72	14	3𝜔⁴	3𝜔⁴	NUM
cana-5533	72	15	,	,	PUNCT
cana-5533	72	16	𝑆𝑘𝑒𝑤𝑛𝑒𝑠𝑠	𝑆𝑘𝑒𝑤𝑛𝑒𝑠𝑠	PROPN
cana-5533	72	17	=	=	SYM
cana-5533	72	18	√𝛽1	√𝛽1	PROPN
cana-5533	72	19	=	=	SYM
cana-5533	72	20	𝐸(𝑋3	𝐸(𝑋3	PROPN
cana-5533	72	21	)	)	PUNCT
cana-5533	72	22	𝑉𝑎𝑟(𝑋	𝑉𝑎𝑟(𝑋	NOUN
cana-5533	72	23	)	)	PUNCT
cana-5533	72	24	3	3	NUM
cana-5533	72	25	2	2	NUM
cana-5533	72	26	=	=	SYM
cana-5533	72	27	6𝜔4	6𝜔4	NUM
cana-5533	72	28	(	(	PUNCT
cana-5533	72	29	(	(	PUNCT
cana-5533	72	30	8	8	NUM
cana-5533	72	31	3	3	NUM
cana-5533	72	32	)	)	PUNCT
cana-5533	72	33	𝜔+	𝜔+	PUNCT
cana-5533	72	34	1	1	NUM
cana-5533	72	35	3	3	NUM
cana-5533	72	36	𝜔	𝜔	NUM
cana-5533	72	37	)	)	PUNCT
cana-5533	72	38	(	(	PUNCT
cana-5533	72	39	2	2	NUM
cana-5533	72	40	3	3	NUM
cana-5533	72	41	𝜔3	𝜔3	NOUN
cana-5533	72	42	+	+	NOUN
cana-5533	72	43	6	6	NUM
cana-5533	72	44	(	(	PUNCT
cana-5533	72	45	2	2	NUM
cana-5533	72	46	3	3	NUM
cana-5533	72	47	)	)	PUNCT
cana-5533	72	48	𝜔3−	𝜔3−	NOUN
cana-5533	72	49	(	(	PUNCT
cana-5533	72	50	1	1	NUM
cana-5533	72	51	3	3	NUM
cana-5533	72	52	)	)	PUNCT
cana-5533	72	53	2	2	NUM
cana-5533	72	54	𝜔2−	𝜔2−	NOUN
cana-5533	72	55	4	4	NUM
cana-5533	72	56	3	3	NUM
cana-5533	72	57	(	(	PUNCT
cana-5533	72	58	2	2	NUM
cana-5533	72	59	3	3	NUM
cana-5533	72	60	)	)	PUNCT
cana-5533	72	61	𝜔2−4	𝜔2−4	PROPN
cana-5533	73	1	(	(	PUNCT
cana-5533	73	2	2	2	NUM
cana-5533	73	3	3	3	NUM
cana-5533	73	4	)	)	PUNCT
cana-5533	73	5	2	2	NUM
cana-5533	73	6	𝜔2	𝜔2	PROPN
cana-5533	73	7	)	)	PUNCT
cana-5533	73	8	3	3	NUM
cana-5533	73	9	2	2	NUM
cana-5533	73	10	=	=	SYM
cana-5533	73	11	18𝜔5	18𝜔5	NUM
cana-5533	73	12	(	(	PUNCT
cana-5533	73	13	14	14	NUM
cana-5533	73	14	9	9	NUM
cana-5533	73	15	𝜔3−	𝜔3−	NOUN
cana-5533	73	16	25	25	NUM
cana-5533	73	17	9	9	NUM
cana-5533	73	18	𝜔2	𝜔2	NOUN
cana-5533	73	19	)	)	PUNCT
cana-5533	73	20	3	3	NUM
cana-5533	73	21	2	2	NUM
cana-5533	73	22	𝐾𝑢𝑟𝑡𝑜𝑠𝑖𝑠	𝐾𝑢𝑟𝑡𝑜𝑠𝑖𝑠	PROPN
cana-5533	73	23	=	=	PUNCT
cana-5533	73	24	𝛽2	𝛽2	PROPN
cana-5533	73	25	=	=	SYM
cana-5533	73	26	𝐸(𝑋4	𝐸(𝑋4	PROPN
cana-5533	73	27	)	)	PUNCT
cana-5533	73	28	(	(	PUNCT
cana-5533	73	29	𝑉𝑎𝑟(𝑋	𝑉𝑎𝑟(𝑋	NUM
cana-5533	73	30	)	)	PUNCT
cana-5533	73	31	)	)	PUNCT
cana-5533	73	32	2	2	NUM
cana-5533	74	1	=	=	SYM
cana-5533	74	2	(	(	PUNCT
cana-5533	74	3	24𝜔⁶(5	24𝜔⁶(5	NOUN
cana-5533	74	4	(	(	PUNCT
cana-5533	74	5	2	2	NUM
cana-5533	74	6	3	3	NUM
cana-5533	74	7	)	)	PUNCT
cana-5533	74	8	𝜔+𝜔	𝜔+𝜔	NUM
cana-5533	74	9	(	(	PUNCT
cana-5533	74	10	1	1	NUM
cana-5533	74	11	3	3	NUM
cana-5533	74	12	)	)	PUNCT
cana-5533	74	13	)	)	PUNCT
cana-5533	74	14	(	(	PUNCT
cana-5533	74	15	2	2	NUM
cana-5533	74	16	(	(	PUNCT
cana-5533	74	17	1	1	NUM
cana-5533	74	18	3	3	NUM
cana-5533	74	19	)	)	PUNCT
cana-5533	74	20	𝜔3	𝜔3	NOUN
cana-5533	74	21	+	+	NOUN
cana-5533	74	22	6	6	NUM
cana-5533	74	23	(	(	PUNCT
cana-5533	74	24	2	2	NUM
cana-5533	74	25	3	3	NUM
cana-5533	74	26	)	)	PUNCT
cana-5533	74	27	𝜔3−	𝜔3−	NOUN
cana-5533	74	28	(	(	PUNCT
cana-5533	74	29	1	1	NUM
cana-5533	74	30	3	3	NUM
cana-5533	74	31	)	)	PUNCT
cana-5533	74	32	2	2	NUM
cana-5533	74	33	𝜔2−4	𝜔2−4	SYM
cana-5533	74	34	(	(	PUNCT
cana-5533	74	35	1	1	NUM
cana-5533	74	36	3	3	NUM
cana-5533	74	37	)	)	PUNCT
cana-5533	74	38	(	(	PUNCT
cana-5533	74	39	2	2	NUM
cana-5533	74	40	3	3	NUM
cana-5533	74	41	𝜔2−4	𝜔2−4	SYM
cana-5533	74	42	(	(	PUNCT
cana-5533	74	43	2	2	NUM
cana-5533	74	44	3	3	NUM
cana-5533	74	45	)	)	PUNCT
cana-5533	74	46	2	2	NUM
cana-5533	74	47	𝜔2	𝜔2	NOUN
cana-5533	74	48	)	)	PUNCT
cana-5533	74	49	2	2	NUM
cana-5533	74	50	)	)	PUNCT
cana-5533	74	51	,	,	PUNCT
cana-5533	74	52	=	=	SYM
cana-5533	74	53	88𝜔7	88𝜔7	NUM
cana-5533	74	54	(	(	PUNCT
cana-5533	74	55	14	14	NUM
cana-5533	74	56	3	3	NUM
cana-5533	74	57	𝜔3−	𝜔3−	NOUN
cana-5533	74	58	25	25	NUM
cana-5533	74	59	9	9	NUM
cana-5533	74	60	𝜔2	𝜔2	NOUN
cana-5533	74	61	)	)	PUNCT
cana-5533	74	62	2	2	NUM
cana-5533	74	63	𝐶.	𝐶.	PROPN
cana-5533	74	64	𝑉	𝑉	PROPN
cana-5533	74	65	=	=	SYM
cana-5533	74	66	𝐾	𝐾	PROPN
cana-5533	74	67	=	=	SYM
cana-5533	74	68	√𝑉𝑎𝑟(𝑋	√𝑉𝑎𝑟(𝑋	PROPN
cana-5533	74	69	)	)	PUNCT
cana-5533	74	70	𝐸(𝑋	𝐸(𝑋	NOUN
cana-5533	74	71	)	)	PUNCT
cana-5533	74	72	=	=	SYM
cana-5533	75	1	√2	√2	NOUN
cana-5533	75	2	1	1	NUM
cana-5533	75	3	3	3	NUM
cana-5533	75	4	𝜔³+6	𝜔³+6	CCONJ
cana-5533	75	5	(	(	PUNCT
cana-5533	75	6	2	2	NUM
cana-5533	75	7	3	3	NUM
cana-5533	75	8	)	)	PUNCT
cana-5533	75	9	𝜔²−	𝜔²−	NOUN
cana-5533	75	10	(	(	PUNCT
cana-5533	75	11	2	2	NUM
cana-5533	75	12	3	3	NUM
cana-5533	75	13	)	)	PUNCT
cana-5533	75	14	²𝜔²−4	²𝜔²−4	PROPN
cana-5533	75	15	1	1	NUM
cana-5533	75	16	3	3	NUM
cana-5533	75	17	(	(	PUNCT
cana-5533	75	18	2	2	NUM
cana-5533	75	19	3	3	NUM
cana-5533	75	20	)	)	PUNCT
cana-5533	75	21	𝜔²−4	𝜔²−4	CCONJ
cana-5533	75	22	(	(	PUNCT
cana-5533	75	23	2	2	NUM
cana-5533	75	24	3	3	NUM
cana-5533	75	25	)	)	PUNCT
cana-5533	75	26	²𝜔²	²𝜔²	NOUN
cana-5533	76	1	2	2	NUM
cana-5533	76	2	(	(	PUNCT
cana-5533	76	3	(	(	PUNCT
cana-5533	76	4	2	2	NUM
cana-5533	76	5	3	3	NUM
cana-5533	76	6	)	)	PUNCT
cana-5533	76	7	)	)	PUNCT
cana-5533	77	1	𝜔+𝜔	𝜔+𝜔	NUM
cana-5533	77	2	(	(	PUNCT
cana-5533	77	3	1	1	NUM
cana-5533	77	4	3	3	NUM
cana-5533	77	5	)	)	PUNCT
cana-5533	77	6	)	)	PUNCT
cana-5533	78	1	=	=	PUNCT
cana-5533	78	2	3	3	NUM
cana-5533	78	3	5𝜔	5𝜔	NUM
cana-5533	78	4	√	√	ADV
cana-5533	78	5	2	2	NUM
cana-5533	78	6	3	3	NUM
cana-5533	78	7	𝜔³	𝜔³	NOUN
cana-5533	78	8	+	+	CCONJ
cana-5533	78	9	11	11	NUM
cana-5533	78	10	9	9	NUM
cana-5533	78	11	𝜔²	𝜔²	NOUN
cana-5533	78	12	the	the	DET
cana-5533	78	13	moment	moment	NOUN
cana-5533	78	14	generating	generate	VERB
cana-5533	78	15	function	function	NOUN
cana-5533	78	16	of	of	ADP
cana-5533	78	17	the	the	DET
cana-5533	78	18	𝑂𝑃𝑀	𝑂𝑃𝑀	PROPN
cana-5533	78	19	is	be	AUX
cana-5533	78	20	determined	determine	VERB
cana-5533	78	21	as	as	SCONJ
cana-5533	78	22	follows	follow	VERB
cana-5533	78	23	𝑀(𝑠	𝑀(𝑠	PRON
cana-5533	78	24	)	)	PUNCT
cana-5533	78	25	=	=	SYM
cana-5533	79	1	∫	∫	PROPN
cana-5533	79	2	𝑒𝑠𝑥	𝑒𝑠𝑥	NOUN
cana-5533	79	3	𝑝(𝑥)𝑑𝑥	𝑝(𝑥)𝑑𝑥	NOUN
cana-5533	79	4	=	=	SYM
cana-5533	79	5	𝜔2	𝜔2	PROPN
cana-5533	79	6	(	(	PUNCT
cana-5533	79	7	(	(	PUNCT
cana-5533	79	8	2	2	NUM
cana-5533	79	9	3	3	NUM
cana-5533	79	10	)	)	PUNCT
cana-5533	79	11	𝜔+𝜔	𝜔+𝜔	NUM
cana-5533	79	12	1	1	NUM
cana-5533	79	13	3	3	NUM
cana-5533	79	14	−𝑠	−𝑠	ADV
cana-5533	79	15	1	1	NUM
cana-5533	79	16	3	3	NUM
cana-5533	79	17	)	)	PUNCT
cana-5533	79	18	(	(	PUNCT
cana-5533	79	19	(	(	PUNCT
cana-5533	79	20	2	2	NUM
cana-5533	79	21	3	3	NUM
cana-5533	79	22	)	)	PUNCT
cana-5533	79	23	𝜔+	𝜔+	PUNCT
cana-5533	79	24	1	1	NUM
cana-5533	79	25	3	3	NUM
cana-5533	79	26	𝜔)(𝜔−𝑠)2	𝜔)(𝜔−𝑠)2	NOUN
cana-5533	79	27	,	,	PUNCT
cana-5533	79	28	𝑠	𝑠	X
cana-5533	79	29	<	<	X
cana-5533	79	30	𝜔	𝜔	PART
cana-5533	79	31	communications	communication	NOUN
cana-5533	79	32	on	on	ADP
cana-5533	79	33	applied	apply	VERB
cana-5533	79	34	nonlinear	nonlinear	ADJ
cana-5533	79	35	analysis	analysis	NOUN
cana-5533	79	36	issn	issn	NOUN
cana-5533	79	37	:	:	PUNCT
cana-5533	79	38	1074	1074	NUM
cana-5533	79	39	-	-	PUNCT
cana-5533	79	40	133x	133x	NUM
cana-5533	79	41	vol	vol	VERB
cana-5533	79	42	32	32	NUM
cana-5533	79	43	no	no	NOUN
cana-5533	79	44	.	.	PUNCT
cana-5533	80	1	10s	10	NOUN
cana-5533	80	2	(	(	PUNCT
cana-5533	80	3	2025	2025	NUM
cana-5533	80	4	)	)	PUNCT
cana-5533	80	5	2552	2552	NUM
cana-5533	80	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-5533	81	1	=	=	PUNCT
cana-5533	81	2	𝜔(𝜔	𝜔(𝜔	NOUN
cana-5533	81	3	−	−	NUM
cana-5533	81	4	𝑠	𝑠	NUM
cana-5533	81	5	1	1	NUM
cana-5533	81	6	3	3	NUM
cana-5533	81	7	)	)	PUNCT
cana-5533	81	8	(	(	PUNCT
cana-5533	81	9	𝜔	𝜔	PRON
cana-5533	81	10	−	−	PRON
cana-5533	81	11	𝑠)²	𝑠)²	NOUN
cana-5533	81	12	its	its	PRON
cana-5533	81	13	characteristic	characteristic	ADJ
cana-5533	81	14	function	function	NOUN
cana-5533	81	15	is	be	AUX
cana-5533	81	16	obtained	obtain	VERB
cana-5533	81	17	by	by	ADP
cana-5533	81	18	replacing	replace	VERB
cana-5533	81	19	t	t	NOUN
cana-5533	81	20	with	with	ADP
cana-5533	81	21	it	it	PRON
cana-5533	81	22	in	in	ADP
cana-5533	81	23	the	the	DET
cana-5533	81	24	last	last	ADJ
cana-5533	81	25	equation	equation	NOUN
cana-5533	81	26	.	.	PUNCT
cana-5533	82	1	the	the	DET
cana-5533	82	2	i	i	PROPN
cana-5533	82	3	-	-	PUNCT
cana-5533	82	4	th	th	X
cana-5533	82	5	incomplete	incomplete	ADJ
cana-5533	82	6	moments	moment	NOUN
cana-5533	82	7	of	of	ADP
cana-5533	82	8	𝑂𝑃𝑀	𝑂𝑃𝑀	PROPN
cana-5533	82	9	is	be	AUX
cana-5533	82	10	determined	determine	VERB
cana-5533	82	11	as	as	SCONJ
cana-5533	82	12	follows	follow	VERB
cana-5533	82	13	𝑇𝑖(𝑠	𝑇𝑖(𝑠	NOUN
cana-5533	82	14	)	)	PUNCT
cana-5533	83	1	=	=	SYM
cana-5533	83	2	∫	∫	PROPN
cana-5533	83	3	𝑡𝑖	𝑡𝑖	NOUN
cana-5533	84	1	𝑠	𝑠	PROPN
cana-5533	84	2	0	0	NUM
cana-5533	84	3	𝑝(𝑥)𝑑𝑥	𝑝(𝑥)𝑑𝑥	PROPN
cana-5533	85	1	=	=	PUNCT
cana-5533	86	1	(	(	PUNCT
cana-5533	86	2	2	2	NUM
cana-5533	86	3	3	3	NUM
cana-5533	86	4	)	)	PUNCT
cana-5533	87	1	𝜔𝛤(2	𝜔𝛤(2	SYM
cana-5533	87	2	+	+	NUM
cana-5533	87	3	𝑖	𝑖	X
cana-5533	87	4	)	)	PUNCT
cana-5533	87	5	+	+	CCONJ
cana-5533	87	6	𝜔	𝜔	SYM
cana-5533	87	7	1	1	NUM
cana-5533	87	8	3	3	NUM
cana-5533	87	9	𝛤(1	𝛤(1	NUM
cana-5533	87	10	+	+	SYM
cana-5533	87	11	𝑖	𝑖	X
cana-5533	87	12	)	)	PUNCT
cana-5533	87	13	−	−	PROPN
cana-5533	87	14	(	(	PUNCT
cana-5533	87	15	2	2	NUM
cana-5533	87	16	3	3	NUM
cana-5533	87	17	)	)	PUNCT
cana-5533	88	1	𝜔𝛤	𝜔𝛤	VERB
cana-5533	88	2	(	(	PUNCT
cana-5533	88	3	2	2	NUM
cana-5533	88	4	+	+	SYM
cana-5533	88	5	𝑖	𝑖	X
cana-5533	88	6	,	,	PUNCT
cana-5533	88	7	𝑠𝜔	𝑠𝜔	ADV
cana-5533	88	8	1	1	NUM
cana-5533	88	9	3	3	NUM
cana-5533	88	10	)	)	PUNCT
cana-5533	88	11	−	−	PROPN
cana-5533	88	12	1	1	NUM
cana-5533	88	13	3	3	NUM
cana-5533	88	14	𝜔𝛤	𝜔𝛤	X
cana-5533	88	15	(	(	PUNCT
cana-5533	88	16	1	1	NUM
cana-5533	88	17	+	+	NUM
cana-5533	88	18	𝑖	𝑖	X
cana-5533	88	19	,	,	PUNCT
cana-5533	88	20	𝑠𝜔	𝑠𝜔	ADV
cana-5533	88	21	1	1	NUM
cana-5533	88	22	3	3	NUM
cana-5533	88	23	)	)	PUNCT
cana-5533	88	24	𝜔𝑖	𝜔𝑖	ADP
cana-5533	88	25	(	(	PUNCT
cana-5533	88	26	2	2	NUM
cana-5533	88	27	3	3	NUM
cana-5533	88	28	)	)	PUNCT
cana-5533	88	29	𝜔	𝜔	ADP
cana-5533	88	30	+	+	NOUN
cana-5533	88	31	1	1	NUM
cana-5533	88	32	3	3	NUM
cana-5533	88	33	𝜔𝑖+1	𝜔𝑖+1	X
cana-5533	88	34	where	where	SCONJ
cana-5533	88	35	𝛤(𝛼	𝛤(𝛼	ADP
cana-5533	88	36	,	,	PUNCT
cana-5533	88	37	𝑥	𝑥	NOUN
cana-5533	88	38	)	)	PUNCT
cana-5533	88	39	=	=	SYM
cana-5533	89	1	∫	∫	PROPN
cana-5533	89	2	𝑡𝛼−1∞	𝑡𝛼−1∞	NOUN
cana-5533	89	3	−𝑥	−𝑥	NOUN
cana-5533	89	4	𝑒−𝑡𝑑𝑡.	𝑒−𝑡𝑑𝑡.	NOUN
cana-5533	89	5	we	we	PRON
cana-5533	89	6	have	have	VERB
cana-5533	89	7	first	first	ADJ
cana-5533	89	8	incomplete	incomplete	ADJ
cana-5533	89	9	moments	moment	NOUN
cana-5533	89	10	𝑇₁(𝑠	𝑇₁(𝑠	PROPN
cana-5533	89	11	)	)	PUNCT
cana-5533	89	12	in	in	ADP
cana-5533	89	13	equation	equation	NOUN
cana-5533	89	14	(	(	PUNCT
cana-5533	89	15	ref	ref	NOUN
cana-5533	89	16	:	:	PUNCT
cana-5533	89	17	im	im	X
cana-5533	89	18	)	)	PUNCT
cana-5533	89	19	when	when	SCONJ
cana-5533	89	20	𝑖	𝑖	X
cana-5533	89	21	=	=	SYM
cana-5533	89	22	1	1	NUM
cana-5533	89	23	which	which	PRON
cana-5533	89	24	used	use	VERB
cana-5533	89	25	to	to	PART
cana-5533	89	26	calculate	calculate	VERB
cana-5533	89	27	the	the	DET
cana-5533	89	28	mean	mean	ADJ
cana-5533	89	29	residual	residual	ADJ
cana-5533	89	30	life	life	NOUN
cana-5533	89	31	and	and	CCONJ
cana-5533	89	32	the	the	DET
cana-5533	89	33	mean	mean	ADJ
cana-5533	89	34	waiting	waiting	NOUN
cana-5533	89	35	time	time	NOUN
cana-5533	89	36	which	which	PRON
cana-5533	89	37	are	be	AUX
cana-5533	89	38	,	,	PUNCT
cana-5533	89	39	respectively	respectively	ADV
cana-5533	89	40	,	,	PUNCT
cana-5533	89	41	defined	define	VERB
cana-5533	89	42	as	as	SCONJ
cana-5533	89	43	follows	follow	VERB
cana-5533	89	44	𝛹(𝑠	𝛹(𝑠	NOUN
cana-5533	89	45	)	)	PUNCT
cana-5533	89	46	=	=	SYM
cana-5533	89	47	1	1	NUM
cana-5533	89	48	−	−	PROPN
cana-5533	89	49	𝑇₁(𝑠	𝑇₁(𝑠	NOUN
cana-5533	89	50	)	)	PUNCT
cana-5533	89	51	𝑆(𝑥	𝑆(𝑥	NUM
cana-5533	89	52	;	;	PUNCT
cana-5533	89	53	𝜔	𝜔	X
cana-5533	89	54	)	)	PUNCT
cana-5533	89	55	−	−	NOUN
cana-5533	89	56	1	1	NUM
cana-5533	89	57	𝑀₁(𝑠	𝑀₁(𝑠	NOUN
cana-5533	89	58	)	)	PUNCT
cana-5533	89	59	=	=	SYM
cana-5533	89	60	1	1	NUM
cana-5533	89	61	−	−	PROPN
cana-5533	89	62	𝑇₁(𝑠	𝑇₁(𝑠	PROPN
cana-5533	89	63	)	)	PUNCT
cana-5533	89	64	𝐹(𝑥	𝐹(𝑥	NUM
cana-5533	89	65	;	;	PUNCT
cana-5533	89	66	𝜔	𝜔	X
cana-5533	89	67	)	)	PUNCT
cana-5533	89	68	another	another	DET
cana-5533	89	69	uses	use	NOUN
cana-5533	89	70	of	of	ADP
cana-5533	89	71	𝑇₁(𝑠	𝑇₁(𝑠	NOUN
cana-5533	89	72	)	)	PUNCT
cana-5533	89	73	is	be	AUX
cana-5533	89	74	to	to	PART
cana-5533	89	75	calculate	calculate	VERB
cana-5533	89	76	bonferroni	bonferroni	NOUN
cana-5533	89	77	and	and	CCONJ
cana-5533	89	78	lorenz	lorenz	PROPN
cana-5533	89	79	curves	curve	NOUN
cana-5533	89	80	which	which	PRON
cana-5533	89	81	are	be	AUX
cana-5533	89	82	,	,	PUNCT
cana-5533	89	83	respectively	respectively	ADV
cana-5533	89	84	,	,	PUNCT
cana-5533	89	85	defined	define	VERB
cana-5533	89	86	as	as	SCONJ
cana-5533	89	87	follows	follow	VERB
cana-5533	89	88	𝐿(𝑝	𝐿(𝑝	PROPN
cana-5533	89	89	)	)	PUNCT
cana-5533	89	90	=	=	SYM
cana-5533	89	91	𝑇₁(𝑥	𝑇₁(𝑥	NOUN
cana-5533	89	92	)	)	PUNCT
cana-5533	89	93	𝐸(𝑋	𝐸(𝑋	NOUN
cana-5533	89	94	)	)	PUNCT
cana-5533	89	95	𝐵(𝑝	𝐵(𝑝	NOUN
cana-5533	89	96	)	)	PUNCT
cana-5533	89	97	=	=	SYM
cana-5533	89	98	𝑇₁(𝑥𝑝	𝑇₁(𝑥𝑝	PROPN
cana-5533	89	99	)	)	PUNCT
cana-5533	89	100	𝑝𝐸(𝑋	𝑝𝐸(𝑋	NOUN
cana-5533	89	101	)	)	PUNCT
cana-5533	89	102	,	,	PUNCT
cana-5533	89	103	where(𝑥𝑝	where(𝑥𝑝	NOUN
cana-5533	89	104	)	)	PUNCT
cana-5533	89	105	is	be	AUX
cana-5533	89	106	the	the	DET
cana-5533	89	107	quantile	quantile	ADJ
cana-5533	89	108	function	function	NOUN
cana-5533	89	109	of	of	ADP
cana-5533	89	110	𝑂𝑃𝑀.	𝑂𝑃𝑀.	X
cana-5533	89	111	stochastic	stochastic	ADJ
cana-5533	89	112	orders	order	NOUN
cana-5533	89	113	stochastic	stochastic	ADJ
cana-5533	89	114	order	order	NOUN
cana-5533	89	115	is	be	AUX
cana-5533	89	116	an	an	DET
cana-5533	89	117	order	order	NOUN
cana-5533	89	118	of	of	ADP
cana-5533	89	119	-largeness	-largeness	NOUN
cana-5533	89	120	-on	-on	NOUN
cana-5533	89	121	random	random	ADJ
cana-5533	89	122	variables	variable	NOUN
cana-5533	89	123	.	.	PUNCT
cana-5533	90	1	more	more	ADV
cana-5533	90	2	broadly	broadly	ADV
cana-5533	90	3	,	,	PUNCT
cana-5533	90	4	stochastic	stochastic	ADJ
cana-5533	90	5	orders	order	NOUN
cana-5533	90	6	are	be	AUX
cana-5533	90	7	orders	order	NOUN
cana-5533	90	8	that	that	PRON
cana-5533	90	9	are	be	AUX
cana-5533	90	10	used	use	VERB
cana-5533	90	11	to	to	PART
cana-5533	90	12	compare	compare	VERB
cana-5533	90	13	random	random	ADJ
cana-5533	90	14	variables	variable	NOUN
cana-5533	90	15	,	,	PUNCT
cana-5533	90	16	or	or	CCONJ
cana-5533	90	17	probability	probability	NOUN
cana-5533	90	18	distributions	distribution	NOUN
cana-5533	90	19	or	or	CCONJ
cana-5533	90	20	measurements	measurement	NOUN
cana-5533	90	21	.	.	PUNCT
cana-5533	91	1	now	now	ADV
cana-5533	91	2	,	,	PUNCT
cana-5533	91	3	we	we	PRON
cana-5533	91	4	consider	consider	VERB
cana-5533	91	5	2	2	NUM
cana-5533	91	6	random	random	ADJ
cana-5533	91	7	variables	variable	NOUN
cana-5533	91	8	v	v	ADP
cana-5533	91	9	and	and	CCONJ
cana-5533	91	10	w	w	NOUN
cana-5533	91	11	.	.	PUNCT
cana-5533	92	1	then	then	ADV
cana-5533	92	2	v	v	NOUN
cana-5533	92	3	is	be	AUX
cana-5533	92	4	said	say	VERB
cana-5533	92	5	smaller	small	ADJ
cana-5533	92	6	than	than	ADP
cana-5533	92	7	w	w	NOUN
cana-5533	92	8	in	in	ADP
cana-5533	92	9	the	the	DET
cana-5533	92	10	:	:	PUNCT
cana-5533	92	11	likelihood	likelihood	NOUN
cana-5533	92	12	ratio	ratio	NOUN
cana-5533	92	13	order	order	NOUN
cana-5533	92	14	(	(	PUNCT
cana-5533	92	15	𝑉	𝑉	PROPN
cana-5533	92	16	<	<	X
cana-5533	92	17	𝑙𝑟	𝑙𝑟	ADP
cana-5533	92	18	𝑊	𝑊	PROPN
cana-5533	92	19	)	)	PUNCT
cana-5533	92	20	,	,	PUNCT
cana-5533	92	21	𝑖𝑓	𝑖𝑓	X
cana-5533	92	22	𝑝𝑣(𝑥	𝑝𝑣(𝑥	NOUN
cana-5533	92	23	)	)	PUNCT
cana-5533	92	24	𝑝𝑤(𝑥	𝑝𝑤(𝑥	NOUN
cana-5533	92	25	)	)	PUNCT
cana-5533	92	26	is	be	AUX
cana-5533	92	27	decreasing	decrease	VERB
cana-5533	92	28	in	in	ADP
cana-5533	92	29	x	x	PUNCT
cana-5533	92	30	-hazard	-hazard	NOUN
cana-5533	92	31	rate	rate	NOUN
cana-5533	92	32	order	order	NOUN
cana-5533	92	33	(	(	PUNCT
cana-5533	92	34	𝑉	𝑉	PROPN
cana-5533	92	35	≤ℎ𝑟	≤ℎ𝑟	PROPN
cana-5533	92	36	𝑊	𝑊	PROPN
cana-5533	92	37	)	)	PUNCT
cana-5533	92	38	,	,	PUNCT
cana-5533	92	39	𝑖𝑓	𝑖𝑓	ADP
cana-5533	92	40	ℎ𝑣(𝑥	ℎ𝑣(𝑥	NOUN
cana-5533	92	41	)	)	PUNCT
cana-5533	92	42	≥	≥	NOUN
cana-5533	92	43	ℎ𝑤(𝑥	ℎ𝑤(𝑥	NOUN
cana-5533	92	44	)	)	PUNCT
cana-5533	92	45	,	,	PUNCT
cana-5533	92	46	∀𝑥	∀𝑥	PROPN
cana-5533	92	47	stochastic	stochastic	ADJ
cana-5533	92	48	order	order	NOUN
cana-5533	92	49	(	(	PUNCT
cana-5533	92	50	𝑉	𝑉	PROPN
cana-5533	92	51	<	<	X
cana-5533	92	52	𝑆	𝑆	PROPN
cana-5533	92	53	𝑊	𝑊	PROPN
cana-5533	92	54	)	)	PUNCT
cana-5533	92	55	,	,	PUNCT
cana-5533	92	56	𝑖𝑓	𝑖𝑓	ADP
cana-5533	92	57	𝐹𝑣(𝑥	𝐹𝑣(𝑥	NUM
cana-5533	92	58	)	)	PUNCT
cana-5533	92	59	<	<	X
cana-5533	92	60	𝐹𝑤(𝑥	𝐹𝑤(𝑥	NOUN
cana-5533	92	61	)	)	PUNCT
cana-5533	92	62	,	,	PUNCT
cana-5533	92	63	∀𝑥	∀𝑥	NOUN
cana-5533	92	64	convex	convex	NOUN
cana-5533	92	65	order	order	NOUN
cana-5533	92	66	(	(	PUNCT
cana-5533	92	67	𝑉	𝑉	PROPN
cana-5533	92	68	≤𝑐𝑥	≤𝑐𝑥	PROPN
cana-5533	92	69	𝑊	𝑊	PROPN
cana-5533	92	70	)	)	PUNCT
cana-5533	92	71	,	,	PUNCT
cana-5533	92	72	if	if	SCONJ
cana-5533	92	73	for	for	ADP
cana-5533	92	74	all	all	DET
cana-5533	92	75	convex	convex	NOUN
cana-5533	92	76	functions	function	NOUN
cana-5533	92	77	𝜙	𝜙	NOUN
cana-5533	92	78	,	,	PUNCT
cana-5533	92	79	𝐸[𝜙(𝑉	𝐸[𝜙(𝑉	ADJ
cana-5533	92	80	)	)	PUNCT
cana-5533	92	81	]	]	PUNCT
cana-5533	92	82	≤	≤	NUM
cana-5533	92	83	𝐸[𝜙(𝑊)](expectation	𝐸[𝜙(𝑊)](expectation	NOUN
cana-5533	92	84	exist	exist	NOUN
cana-5533	92	85	)	)	PUNCT
cana-5533	92	86	.	.	PUNCT
cana-5533	93	1	theorem	theorem	NOUN
cana-5533	93	2	1	1	NUM
cana-5533	93	3	.	.	PUNCT
cana-5533	94	1	let	let	VERB
cana-5533	94	2	𝑉	𝑉	PROPN
cana-5533	94	3	,	,	PUNCT
cana-5533	94	4	𝑊	𝑊	VERB
cana-5533	94	5	∼	∼	NOUN
cana-5533	94	6	𝑂𝑃𝑀	𝑂𝑃𝑀	PROPN
cana-5533	94	7	be	be	VERB
cana-5533	94	8	two	two	NUM
cana-5533	94	9	random	random	ADJ
cana-5533	94	10	variables	variable	NOUN
cana-5533	94	11	.	.	PUNCT
cana-5533	95	1	if	if	SCONJ
cana-5533	95	2	(	(	PUNCT
cana-5533	95	3	2	2	NUM
cana-5533	95	4	3	3	NUM
cana-5533	95	5	)	)	PUNCT
cana-5533	95	6	𝜔₁	𝜔₁	NOUN
cana-5533	95	7	1	1	NUM
cana-5533	95	8	3	3	NUM
cana-5533	95	9	≤	≤	NOUN
cana-5533	95	10	(	(	PUNCT
cana-5533	95	11	2	2	NUM
cana-5533	95	12	3	3	NUM
cana-5533	95	13	)	)	PUNCT
cana-5533	95	14	𝜔₂	𝜔₂	NOUN
cana-5533	95	15	1	1	NUM
cana-5533	95	16	3	3	NUM
cana-5533	95	17	,	,	PUNCT
cana-5533	95	18	𝑎𝑛𝑑	𝑎𝑛𝑑	PROPN
cana-5533	95	19	𝜔₁	𝜔₁	PROPN
cana-5533	95	20	≥	≥	PRON
cana-5533	95	21	𝜔₂	𝜔₂	VERB
cana-5533	95	22	then:𝑉	then:𝑉	NOUN
cana-5533	95	23	<	<	X
cana-5533	95	24	𝑙𝑟	𝑙𝑟	ADP
cana-5533	95	25	𝑊	𝑊	PROPN
cana-5533	95	26	;	;	PUNCT
cana-5533	95	27	𝑉	𝑉	PROPN
cana-5533	95	28	<	<	X
cana-5533	95	29	ℎ𝑟	ℎ𝑟	ADP
cana-5533	95	30	𝑊	𝑊	NOUN
cana-5533	95	31	;	;	PUNCT
cana-5533	95	32	𝑉	𝑉	PROPN
cana-5533	95	33	<	<	X
cana-5533	95	34	𝑠	𝑠	X
cana-5533	95	35	𝑊	𝑊	PROPN
cana-5533	95	36	𝑎𝑛𝑑	𝑎𝑛𝑑	ADJ
cana-5533	95	37	𝑉	𝑉	PROPN
cana-5533	95	38	≤𝑐𝑥	≤𝑐𝑥	PROPN
cana-5533	95	39	𝑊	𝑊	PROPN
cana-5533	95	40	communications	communication	NOUN
cana-5533	95	41	on	on	ADP
cana-5533	95	42	applied	apply	VERB
cana-5533	95	43	nonlinear	nonlinear	ADJ
cana-5533	95	44	analysis	analysis	NOUN
cana-5533	95	45	issn	issn	NOUN
cana-5533	95	46	:	:	PUNCT
cana-5533	95	47	1074	1074	NUM
cana-5533	95	48	-	-	PUNCT
cana-5533	95	49	133x	133x	NUM
cana-5533	95	50	vol	vol	VERB
cana-5533	95	51	32	32	NUM
cana-5533	95	52	no	no	NOUN
cana-5533	95	53	.	.	PUNCT
cana-5533	96	1	10s	10	NOUN
cana-5533	96	2	(	(	PUNCT
cana-5533	96	3	2025	2025	NUM
cana-5533	96	4	)	)	PUNCT
cana-5533	96	5	2553	2553	NUM
cana-5533	96	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-5533	96	7	proof	proof	NOUN
cana-5533	96	8	.	.	PUNCT
cana-5533	97	1	we	we	PRON
cana-5533	97	2	have	have	VERB
cana-5533	97	3	:	:	PUNCT
cana-5533	97	4	𝑝𝑣(𝑥	𝑝𝑣(𝑥	NUM
cana-5533	97	5	)	)	PUNCT
cana-5533	97	6	𝑝𝑤(𝑥	𝑝𝑤(𝑥	X
cana-5533	97	7	)	)	PUNCT
cana-5533	97	8	=	=	X
cana-5533	97	9	𝜔₁²	𝜔₁²	NOUN
cana-5533	97	10	(	(	PUNCT
cana-5533	97	11	1	1	NUM
cana-5533	97	12	3	3	NUM
cana-5533	97	13	+	+	ADJ
cana-5533	97	14	(	(	PUNCT
cana-5533	97	15	2	2	NUM
cana-5533	97	16	3	3	NUM
cana-5533	97	17	)	)	PUNCT
cana-5533	97	18	𝜔₁𝑡)𝑒𝑥𝑝(−𝜔₁𝑡	𝜔₁𝑡)𝑒𝑥𝑝(−𝜔₁𝑡	ADP
cana-5533	97	19	)	)	PUNCT
cana-5533	97	20	)	)	PUNCT
cana-5533	97	21	1	1	NUM
cana-5533	97	22	3	3	NUM
cana-5533	97	23	+	+	ADJ
cana-5533	97	24	(	(	PUNCT
cana-5533	97	25	2	2	NUM
cana-5533	97	26	3	3	NUM
cana-5533	97	27	₁)𝜔₁𝑡	₁)𝜔₁𝑡	NOUN
cana-5533	97	28	𝜔₂²	𝜔₂²	PROPN
cana-5533	97	29	(	(	PUNCT
cana-5533	97	30	1	1	NUM
cana-5533	97	31	3	3	NUM
cana-5533	97	32	+	+	ADJ
cana-5533	97	33	(	(	PUNCT
cana-5533	97	34	2	2	NUM
cana-5533	97	35	3	3	NUM
cana-5533	97	36	)	)	PUNCT
cana-5533	97	37	𝜔₂𝑡)𝑒𝑥𝑝(−𝜔₂𝑡	𝜔₂𝑡)𝑒𝑥𝑝(−𝜔₂𝑡	ADP
cana-5533	97	38	)	)	PUNCT
cana-5533	97	39	1	1	NUM
cana-5533	97	40	3	3	NUM
cana-5533	97	41	+	+	ADJ
cana-5533	97	42	(	(	PUNCT
cana-5533	97	43	2	2	NUM
cana-5533	97	44	3	3	NUM
cana-5533	97	45	)	)	PUNCT
cana-5533	97	46	𝜔₂𝑡	𝜔₂𝑡	PROPN
cana-5533	97	47	to	to	PART
cana-5533	97	48	keep	keep	VERB
cana-5533	97	49	it	it	PRON
cana-5533	97	50	simple	simple	ADJ
cana-5533	97	51	,	,	PUNCT
cana-5533	97	52	we	we	PRON
cana-5533	97	53	use	use	VERB
cana-5533	97	54	𝑙𝑛	𝑙𝑛	NOUN
cana-5533	97	55	𝑝𝑣(𝑥	𝑝𝑣(𝑥	X
cana-5533	97	56	)	)	PUNCT
cana-5533	97	57	𝑝𝑤(𝑥	𝑝𝑤(𝑥	NUM
cana-5533	97	58	)	)	PUNCT
cana-5533	97	59	,	,	PUNCT
cana-5533	97	60	which	which	PRON
cana-5533	97	61	we	we	PRON
cana-5533	97	62	find	find	VERB
cana-5533	97	63	after	after	ADP
cana-5533	97	64	derivation	derivation	NOUN
cana-5533	97	65	:	:	PUNCT
cana-5533	97	66	𝑑	𝑑	PROPN
cana-5533	97	67	𝑑𝑥	𝑑𝑥	VERB
cana-5533	97	68	𝑙𝑛	𝑙𝑛	NOUN
cana-5533	97	69	𝑝𝑣(𝑥	𝑝𝑣(𝑥	X
cana-5533	97	70	)	)	PUNCT
cana-5533	97	71	𝑝𝑤(𝑥	𝑝𝑤(𝑥	NUM
cana-5533	97	72	)	)	PUNCT
cana-5533	97	73	=	=	SYM
cana-5533	97	74	2(𝜔₁−𝜔₂	2(𝜔₁−𝜔₂	NUM
cana-5533	97	75	)	)	PUNCT
cana-5533	97	76	3(1	3(1	NUM
cana-5533	97	77	+	+	NUM
cana-5533	97	78	2𝜔₁𝑡)+(1	2𝜔₁𝑡)+(1	ADJ
cana-5533	97	79	+	+	NOUN
cana-5533	97	80	2𝜔₂𝑡	2𝜔₂𝑡	NOUN
cana-5533	97	81	)	)	PUNCT
cana-5533	97	82	−	−	PROPN
cana-5533	98	1	(	(	PUNCT
cana-5533	98	2	𝜔₁	𝜔₁	NOUN
cana-5533	98	3	−	−	PROPN
cana-5533	98	4	𝜔₂	𝜔₂	PROPN
cana-5533	98	5	)	)	PUNCT
cana-5533	98	6	in	in	ADP
cana-5533	98	7	this	this	DET
cana-5533	98	8	regard	regard	NOUN
cana-5533	98	9	,	,	PUNCT
cana-5533	98	10	if	if	SCONJ
cana-5533	98	11	𝜔₁	𝜔₁	NOUN
cana-5533	98	12	1	1	NUM
cana-5533	98	13	3	3	NUM
cana-5533	98	14	≤	≤	NOUN
cana-5533	98	15	𝜔₂	𝜔₂	NOUN
cana-5533	98	16	1	1	NUM
cana-5533	98	17	3	3	NUM
cana-5533	98	18	𝑎𝑛𝑑	𝑎𝑛𝑑	PROPN
cana-5533	98	19	𝜔₁	𝜔₁	PROPN
cana-5533	98	20	≥	≥	PRON
cana-5533	98	21	𝜔₂	𝜔₂	PROPN
cana-5533	98	22	,	,	PUNCT
cana-5533	98	23	we	we	PRON
cana-5533	98	24	have	have	VERB
cana-5533	98	25	𝑑	𝑑	NOUN
cana-5533	98	26	𝑑𝑥	𝑑𝑥	NOUN
cana-5533	98	27	ln	ln	ADJ
cana-5533	98	28	(	(	PUNCT
cana-5533	98	29	𝑝𝑣(𝑥	𝑝𝑣(𝑥	X
cana-5533	98	30	)	)	PUNCT
cana-5533	98	31	𝑝𝑤(𝑥	𝑝𝑤(𝑥	NUM
cana-5533	98	32	)	)	PUNCT
cana-5533	98	33	)	)	PUNCT
cana-5533	99	1	≤	≤	NOUN
cana-5533	99	2	0	0	NUM
cana-5533	99	3	.	.	PUNCT
cana-5533	100	1	it	it	PRON
cana-5533	100	2	means	mean	VERB
cana-5533	100	3	that	that	SCONJ
cana-5533	100	4	𝑉	𝑉	PROPN
cana-5533	100	5	<	<	X
cana-5533	100	6	𝑙𝑟	𝑙𝑟	ADP
cana-5533	100	7	𝑊.	𝑊.	PROPN
cana-5533	100	8	moreover	moreover	ADV
cana-5533	100	9	,	,	PUNCT
cana-5533	100	10	we	we	PRON
cana-5533	100	11	know	know	VERB
cana-5533	100	12	that	that	SCONJ
cana-5533	100	13	𝑉	𝑉	PROPN
cana-5533	100	14	<	<	X
cana-5533	100	15	𝑙𝑟	𝑙𝑟	ADP
cana-5533	100	16	𝑊⇒𝑉	𝑊⇒𝑉	PUNCT
cana-5533	100	17	<	<	X
cana-5533	100	18	ℎ𝑟	ℎ𝑟	ADP
cana-5533	100	19	𝑊⇒𝑉	𝑊⇒𝑉	PROPN
cana-5533	100	20	<	<	X
cana-5533	100	21	𝑠	𝑠	X
cana-5533	100	22	𝑊	𝑊	PROPN
cana-5533	100	23	and	and	CCONJ
cana-5533	100	24	𝑉	𝑉	PROPN
cana-5533	100	25	≤𝑐𝑥	≤𝑐𝑥	PROPN
cana-5533	100	26	𝑊⇔𝑉	𝑊⇔𝑉	VERB
cana-5533	100	27	<	<	X
cana-5533	100	28	𝑆	𝑆	PROPN
cana-5533	100	29	𝑊(𝑖𝑓	𝑊(𝑖𝑓	NOUN
cana-5533	100	30	𝐸[𝑉	𝐸[𝑉	VERB
cana-5533	100	31	]	]	PUNCT
cana-5533	101	1	=	=	SYM
cana-5533	101	2	𝐸[𝑊	𝐸[𝑊	NOUN
cana-5533	101	3	]	]	PUNCT
cana-5533	101	4	)	)	PUNCT
cana-5533	101	5	,	,	PUNCT
cana-5533	101	6	which	which	PRON
cana-5533	101	7	the	the	DET
cana-5533	101	8	theorem	theorem	ADJ
cana-5533	101	9	1is	1is	NOUN
cana-5533	101	10	proved	prove	VERB
cana-5533	101	11	.	.	PUNCT
cana-5533	102	1	entropies	entropy	NOUN
cana-5533	102	2	there	there	PRON
cana-5533	102	3	is	be	VERB
cana-5533	102	4	general	general	ADJ
cana-5533	102	5	agreement	agreement	NOUN
cana-5533	102	6	that	that	PRON
cana-5533	102	7	entropy	entropy	VERB
cana-5533	102	8	and	and	CCONJ
cana-5533	102	9	information	information	NOUN
cana-5533	102	10	can	can	AUX
cana-5533	102	11	be	be	AUX
cana-5533	102	12	used	use	VERB
cana-5533	102	13	to	to	PART
cana-5533	102	14	calculate	calculate	VERB
cana-5533	102	15	the	the	DET
cana-5533	102	16	degree	degree	NOUN
cana-5533	102	17	of	of	ADP
cana-5533	102	18	uncertainty	uncertainty	NOUN
cana-5533	102	19	in	in	ADP
cana-5533	102	20	a	a	DET
cana-5533	102	21	probability	probability	NOUN
cana-5533	102	22	distribution	distribution	NOUN
cana-5533	102	23	.	.	PUNCT
cana-5533	103	1	however	however	ADV
cana-5533	103	2	,	,	PUNCT
cana-5533	103	3	many	many	ADJ
cana-5533	103	4	correlations	correlation	NOUN
cana-5533	103	5	have	have	AUX
cana-5533	103	6	been	be	AUX
cana-5533	103	7	generated	generate	VERB
cana-5533	103	8	from	from	ADP
cana-5533	103	9	the	the	DET
cana-5533	103	10	characteristics	characteristic	NOUN
cana-5533	103	11	of	of	ADP
cana-5533	103	12	entropy	entropy	PROPN
cana-5533	103	13	.	.	PUNCT
cana-5533	104	1	the	the	DET
cana-5533	104	2	entropy	entropy	NOUN
cana-5533	104	3	of	of	ADP
cana-5533	104	4	a	a	DET
cana-5533	104	5	random	random	ADJ
cana-5533	104	6	variable	variable	NOUN
cana-5533	104	7	x	x	PUNCT
cana-5533	104	8	is	be	AUX
cana-5533	104	9	a	a	DET
cana-5533	104	10	measurement	measurement	NOUN
cana-5533	104	11	of	of	ADP
cana-5533	104	12	the	the	DET
cana-5533	104	13	variability	variability	NOUN
cana-5533	104	14	of	of	ADP
cana-5533	104	15	uncertainty	uncertainty	NOUN
cana-5533	104	16	.	.	PUNCT
cana-5533	105	1	the	the	DET
cana-5533	105	2	entropy	entropy	PROPN
cana-5533	105	3	of	of	ADP
cana-5533	105	4	rényi	rényi	NOUN
cana-5533	105	5	is	be	AUX
cana-5533	105	6	defined	define	VERB
cana-5533	105	7	as	as	ADP
cana-5533	105	8	:	:	PUNCT
cana-5533	105	9	𝐼𝑅(𝑠	𝐼𝑅(𝑠	ADJ
cana-5533	105	10	)	)	PUNCT
cana-5533	106	1	=	=	SYM
cana-5533	106	2	1	1	NUM
cana-5533	106	3	(	(	PUNCT
cana-5533	106	4	1−𝑠	1−𝑠	NUM
cana-5533	106	5	)	)	PUNCT
cana-5533	106	6	𝑙𝑜𝑔	𝑙𝑜𝑔	NOUN
cana-5533	106	7	∫	∫	PROPN
cana-5533	106	8	𝑝𝑠∞	𝑝𝑠∞	PROPN
cana-5533	106	9	0	0	NUM
cana-5533	107	1	(	(	PUNCT
cana-5533	107	2	𝑥)𝑑𝑥	𝑥)𝑑𝑥	PROPN
cana-5533	107	3	were	be	AUX
cana-5533	107	4	s(integer)>0	s(integer)>0	VERB
cana-5533	107	5	et	et	NOUN
cana-5533	107	6	s≠1	s≠1	PROPN
cana-5533	107	7	.	.	PROPN
cana-5533	108	1	for	for	ADP
cana-5533	108	2	the	the	DET
cana-5533	108	3	𝑂𝑃𝑀	𝑂𝑃𝑀	PROPN
cana-5533	108	4	,	,	PUNCT
cana-5533	108	5	we	we	PRON
cana-5533	108	6	have	have	VERB
cana-5533	108	7	:	:	PUNCT
cana-5533	108	8	𝐼𝑅(𝑠	𝐼𝑅(𝑠	ADJ
cana-5533	108	9	)	)	PUNCT
cana-5533	109	1	=	=	SYM
cana-5533	109	2	1	1	NUM
cana-5533	109	3	(	(	PUNCT
cana-5533	109	4	1−𝑠	1−𝑠	NUM
cana-5533	109	5	)	)	PUNCT
cana-5533	109	6	log	log	NOUN
cana-5533	109	7	(	(	PUNCT
cana-5533	109	8	∫	∫	PROPN
cana-5533	109	9	𝜔²	𝜔²	PROPN
cana-5533	109	10	(	(	PUNCT
cana-5533	109	11	1	1	NUM
cana-5533	109	12	3	3	NUM
cana-5533	109	13	+	+	ADJ
cana-5533	109	14	(	(	PUNCT
cana-5533	109	15	2	2	NUM
cana-5533	109	16	3	3	NUM
cana-5533	109	17	)	)	PUNCT
cana-5533	109	18	𝜔𝑥)exp	𝜔𝑥)exp	NOUN
cana-5533	109	19	(	(	PUNCT
cana-5533	109	20	−𝜔𝑥	−𝜔𝑥	NUM
cana-5533	109	21	)	)	PUNCT
cana-5533	109	22	)	)	PUNCT
cana-5533	109	23	1	1	NUM
cana-5533	109	24	3	3	NUM
cana-5533	109	25	𝜔+	𝜔+	SYM
cana-5533	109	26	(	(	PUNCT
cana-5533	109	27	2	2	NUM
cana-5533	109	28	3	3	NUM
cana-5533	109	29	)	)	PUNCT
cana-5533	109	30	𝜔	𝜔	ADP
cana-5533	109	31	∞	∞	NUM
cana-5533	109	32	0	0	NUM
cana-5533	109	33	)	)	PUNCT
cana-5533	109	34	𝑠	𝑠	PROPN
cana-5533	109	35	𝑑𝑥	𝑑𝑥	AUX
cana-5533	109	36	)	)	PUNCT
cana-5533	109	37	=	=	SYM
cana-5533	109	38	1	1	NUM
cana-5533	109	39	(	(	PUNCT
cana-5533	109	40	1	1	NUM
cana-5533	109	41	−	−	PROPN
cana-5533	109	42	𝑠	𝑠	NOUN
cana-5533	109	43	)	)	PUNCT
cana-5533	109	44	log	log	NOUN
cana-5533	109	45	(	(	PUNCT
cana-5533	109	46	∫	∫	PROPN
cana-5533	109	47	𝜔𝑠²	𝜔𝑠²	PROPN
cana-5533	109	48	(	(	PUNCT
cana-5533	109	49	1	1	NUM
cana-5533	109	50	3	3	NUM
cana-5533	109	51	𝜔	𝜔	PART
cana-5533	109	52	+	+	PUNCT
cana-5533	109	53	(	(	PUNCT
cana-5533	109	54	2	2	NUM
cana-5533	109	55	3	3	NUM
cana-5533	109	56	)	)	PUNCT
cana-5533	109	57	𝜔	𝜔	PROPN
cana-5533	109	58	)	)	PUNCT
cana-5533	109	59	𝑠	𝑠	PROPN
cana-5533	109	60	(	(	PUNCT
cana-5533	109	61	1	1	NUM
cana-5533	109	62	3	3	NUM
cana-5533	109	63	+	+	CCONJ
cana-5533	109	64	(	(	PUNCT
cana-5533	109	65	2	2	NUM
cana-5533	109	66	3	3	NUM
cana-5533	109	67	)	)	PUNCT
cana-5533	109	68	𝜔𝑥)𝑠𝑒−𝜔𝑥𝑠𝑑𝑥	𝜔𝑥)𝑠𝑒−𝜔𝑥𝑠𝑑𝑥	PUNCT
cana-5533	109	69	∞	∞	PROPN
cana-5533	109	70	0	0	X
cana-5533	109	71	)	)	PUNCT
cana-5533	110	1	we	we	PRON
cana-5533	110	2	observe	observe	VERB
cana-5533	110	3	that	that	SCONJ
cana-5533	110	4	∫	∫	PROPN
cana-5533	110	5	𝜔𝑠²	𝜔𝑠²	NOUN
cana-5533	110	6	(	(	PUNCT
cana-5533	110	7	1	1	NUM
cana-5533	110	8	3	3	NUM
cana-5533	110	9	𝜔	𝜔	PART
cana-5533	110	10	+	+	PUNCT
cana-5533	110	11	(	(	PUNCT
cana-5533	110	12	2	2	NUM
cana-5533	110	13	3	3	NUM
cana-5533	110	14	)	)	PUNCT
cana-5533	110	15	𝜔	𝜔	PROPN
cana-5533	110	16	)	)	PUNCT
cana-5533	110	17	𝑠	𝑠	PROPN
cana-5533	110	18	(	(	PUNCT
cana-5533	110	19	1	1	NUM
cana-5533	110	20	3	3	NUM
cana-5533	110	21	+	+	CCONJ
cana-5533	110	22	(	(	PUNCT
cana-5533	110	23	2	2	NUM
cana-5533	110	24	3	3	NUM
cana-5533	110	25	)	)	PUNCT
cana-5533	110	26	𝜔𝑥)𝑠𝑒−𝜔𝑥𝑠𝑑𝑥	𝜔𝑥)𝑠𝑒−𝜔𝑥𝑠𝑑𝑥	PUNCT
cana-5533	110	27	=	=	PUNCT
cana-5533	111	1	∞	∞	NOUN
cana-5533	111	2	0	0	NUM
cana-5533	112	1	𝜔𝑠²	𝜔𝑠²	NOUN
cana-5533	112	2	(	(	PUNCT
cana-5533	112	3	1	1	NUM
cana-5533	112	4	3	3	NUM
cana-5533	112	5	𝜔	𝜔	PART
cana-5533	112	6	+	+	PUNCT
cana-5533	112	7	(	(	PUNCT
cana-5533	112	8	2	2	NUM
cana-5533	112	9	3	3	NUM
cana-5533	112	10	)	)	PUNCT
cana-5533	112	11	𝜔	𝜔	PROPN
cana-5533	112	12	)	)	PUNCT
cana-5533	112	13	𝑠	𝑠	NUM
cana-5533	112	14	∑	∑	PROPN
cana-5533	112	15	𝑛	𝑛	PROPN
cana-5533	112	16	!	!	PUNCT
cana-5533	112	17	(	(	PUNCT
cana-5533	112	18	1	1	NUM
cana-5533	112	19	3	3	NUM
cana-5533	112	20	)	)	PUNCT
cana-5533	112	21	𝑖	𝑖	X
cana-5533	112	22	(	(	PUNCT
cana-5533	112	23	(	(	PUNCT
cana-5533	112	24	2	2	NUM
cana-5533	112	25	3	3	NUM
cana-5533	112	26	)	)	PUNCT
cana-5533	112	27	𝜔)𝑛−𝑖	𝜔)𝑛−𝑖	PROPN
cana-5533	112	28	(	(	PUNCT
cana-5533	112	29	𝑛	𝑛	PROPN
cana-5533	112	30	−	−	PROPN
cana-5533	112	31	𝑖	𝑖	SYM
cana-5533	112	32	)	)	PUNCT
cana-5533	112	33	!	!	PUNCT
cana-5533	113	1	𝑖	𝑖	X
cana-5533	113	2	!	!	PUNCT
cana-5533	114	1	𝑛	𝑛	PRON
cana-5533	114	2	𝑖=0	𝑖=0	PROPN
cana-5533	114	3	∫	∫	PROPN
cana-5533	114	4	𝑥𝑛−𝑖	𝑥𝑛−𝑖	PROPN
cana-5533	114	5	∞	∞	PROPN
cana-5533	114	6	0	0	NUM
cana-5533	115	1	𝑒−𝜔𝑥𝑠𝑑𝑥	𝑒−𝜔𝑥𝑠𝑑𝑥	PROPN
cana-5533	116	1	where	where	SCONJ
cana-5533	116	2	∫	∫	PROPN
cana-5533	116	3	𝑥𝑛−𝑖∞	𝑥𝑛−𝑖∞	PROPN
cana-5533	116	4	0	0	NUM
cana-5533	117	1	𝑒−𝜔𝑥𝑠𝑑𝑥	𝑒−𝜔𝑥𝑠𝑑𝑥	NOUN
cana-5533	118	1	=	=	X
cana-5533	118	2	−1	−1	NOUN
cana-5533	118	3	𝑠𝜔	𝑠𝜔	ADP
cana-5533	118	4	𝛤(𝑛	𝛤(𝑛	PROPN
cana-5533	118	5	+	+	PROPN
cana-5533	118	6	1	1	NUM
cana-5533	118	7	−	−	NOUN
cana-5533	118	8	𝑖	𝑖	NOUN
cana-5533	118	9	,	,	PUNCT
cana-5533	118	10	𝑠𝜔𝑥)(𝑠𝜔)𝑖−𝑛	𝑠𝜔𝑥)(𝑠𝜔)𝑖−𝑛	ADP
cana-5533	118	11	now	now	ADV
cana-5533	118	12	,	,	PUNCT
cana-5533	118	13	the	the	DET
cana-5533	118	14	rényi	rényi	NOUN
cana-5533	118	15	entropy	entropy	NOUN
cana-5533	118	16	observes	observe	VERB
cana-5533	118	17	as	as	SCONJ
cana-5533	118	18	communications	communication	NOUN
cana-5533	118	19	on	on	ADP
cana-5533	118	20	applied	apply	VERB
cana-5533	118	21	nonlinear	nonlinear	ADJ
cana-5533	118	22	analysis	analysis	NOUN
cana-5533	118	23	issn	issn	NOUN
cana-5533	118	24	:	:	PUNCT
cana-5533	118	25	1074	1074	NUM
cana-5533	118	26	-	-	PUNCT
cana-5533	118	27	133x	133x	NUM
cana-5533	118	28	vol	vol	VERB
cana-5533	118	29	32	32	NUM
cana-5533	118	30	no	no	NOUN
cana-5533	118	31	.	.	PUNCT
cana-5533	119	1	10s	10	NOUN
cana-5533	119	2	(	(	PUNCT
cana-5533	119	3	2025	2025	NUM
cana-5533	119	4	)	)	PUNCT
cana-5533	119	5	2554	2554	NUM
cana-5533	119	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-5533	119	7	𝐼𝑅(𝑠	𝐼𝑅(𝑠	NOUN
cana-5533	119	8	)	)	PUNCT
cana-5533	120	1	=	=	SYM
cana-5533	120	2	1	1	NUM
cana-5533	120	3	(	(	PUNCT
cana-5533	120	4	1−𝑠	1−𝑠	NUM
cana-5533	120	5	)	)	PUNCT
cana-5533	120	6	𝑙𝑜𝑔	𝑙𝑜𝑔	NOUN
cana-5533	120	7	(	(	PUNCT
cana-5533	120	8	𝜔𝑠²	𝜔𝑠²	NOUN
cana-5533	120	9	(	(	PUNCT
cana-5533	120	10	1	1	NUM
cana-5533	120	11	3	3	NUM
cana-5533	120	12	𝜔+	𝜔+	SYM
cana-5533	120	13	(	(	PUNCT
cana-5533	120	14	2	2	NUM
cana-5533	120	15	3	3	NUM
cana-5533	120	16	)	)	PUNCT
cana-5533	120	17	𝜔	𝜔	NOUN
cana-5533	120	18	)	)	PUNCT
cana-5533	120	19	𝑠	𝑠	NUM
cana-5533	120	20	∑	∑	PROPN
cana-5533	120	21	𝑛	𝑛	PROPN
cana-5533	120	22	!	!	PUNCT
cana-5533	120	23	(	(	PUNCT
cana-5533	120	24	1	1	NUM
cana-5533	120	25	3	3	NUM
cana-5533	120	26	)	)	PUNCT
cana-5533	120	27	𝑖	𝑖	X
cana-5533	120	28	(	(	PUNCT
cana-5533	120	29	(	(	PUNCT
cana-5533	120	30	2	2	NUM
cana-5533	120	31	3	3	NUM
cana-5533	120	32	)	)	PUNCT
cana-5533	120	33	𝜔)𝑛−𝑖	𝜔)𝑛−𝑖	PROPN
cana-5533	120	34	(	(	PUNCT
cana-5533	120	35	𝑛−𝑖)!𝑖	𝑛−𝑖)!𝑖	PROPN
cana-5533	120	36	!	!	PUNCT
cana-5533	121	1	𝑛	𝑛	PRON
cana-5533	121	2	𝑖=0	𝑖=0	PROPN
cana-5533	121	3	(	(	PUNCT
cana-5533	121	4	𝑠𝜔)𝑖−𝑛𝛤(𝑛−𝑖+1	𝑠𝜔)𝑖−𝑛𝛤(𝑛−𝑖+1	PROPN
cana-5533	121	5	)	)	PUNCT
cana-5533	121	6	(	(	PUNCT
cana-5533	121	7	𝑠𝜔)𝑛−𝑖	𝑠𝜔)𝑛−𝑖	PROPN
cana-5533	121	8	)	)	PUNCT
cana-5533	121	9	.	.	PUNCT
cana-5533	122	1	3	3	X
cana-5533	122	2	.	.	X
cana-5533	122	3	goodness	goodness	NOUN
cana-5533	122	4	-	-	PUNCT
cana-5533	122	5	of	of	ADP
cana-5533	122	6	-	-	PUNCT
cana-5533	122	7	fit	fit	NOUN
cana-5533	122	8	test	test	NOUN
cana-5533	122	9	as	as	ADP
cana-5533	122	10	0	0	NUM
cana-5533	122	11	t	t	NOUN
cana-5533	122	12			VERB
cana-5533	122	13	the	the	DET
cana-5533	122	14	𝑂𝑃𝑀	𝑂𝑃𝑀	PROPN
cana-5533	122	15	considered	consider	VERB
cana-5533	122	16	as	as	ADP
cana-5533	122	17	a	a	DET
cana-5533	122	18	lifetime	lifetime	NOUN
cana-5533	122	19	model	model	NOUN
cana-5533	122	20	.	.	PUNCT
cana-5533	123	1	in	in	ADP
cana-5533	123	2	this	this	DET
cana-5533	123	3	section	section	NOUN
cana-5533	123	4	we	we	PRON
cana-5533	123	5	develop	develop	VERB
cana-5533	123	6	the	the	DET
cana-5533	123	7	modified	modify	VERB
cana-5533	123	8	chi	chi	NOUN
cana-5533	123	9	-	-	PUNCT
cana-5533	123	10	squared	square	VERB
cana-5533	123	11	goodness	goodness	NOUN
cana-5533	123	12	-	-	PUNCT
cana-5533	123	13	of	of	ADP
cana-5533	123	14	-	-	PUNCT
cana-5533	123	15	fit	fit	NOUN
cana-5533	123	16	test	test	NOUN
cana-5533	123	17	based	base	VERB
cana-5533	123	18	on	on	ADP
cana-5533	123	19	the	the	DET
cana-5533	123	20	nikulin	nikulin	NOUN
cana-5533	123	21	-	-	PUNCT
cana-5533	123	22	rao	rao	NOUN
cana-5533	123	23	-	-	PUNCT
cana-5533	123	24	robson	robson	NOUN
cana-5533	123	25	(	(	PUNCT
cana-5533	123	26	nrr)(see	nrr)(see	PROPN
cana-5533	123	27	nikulin	nikulin	NOUN
cana-5533	123	28	,	,	PUNCT
cana-5533	123	29	m.	m.	NOUN
cana-5533	123	30	(	(	PUNCT
cana-5533	123	31	1973a,1973b	1973a,1973b	NOUN
cana-5533	123	32	)	)	PUNCT
cana-5533	123	33	statistic	statistic	NOUN
cana-5533	123	34	for	for	ADP
cana-5533	123	35	the	the	PRON
cana-5533	123	36	𝑂𝑃𝑀.	𝑂𝑃𝑀.	PRON
cana-5533	123	37	a	a	DET
cana-5533	123	38	simulation	simulation	NOUN
cana-5533	123	39	study	study	NOUN
cana-5533	123	40	is	be	AUX
cana-5533	123	41	conducted	conduct	VERB
cana-5533	123	42	to	to	PART
cana-5533	123	43	generate	generate	VERB
cana-5533	123	44	a	a	DET
cana-5533	123	45	wide	wide	ADJ
cana-5533	123	46	range	range	NOUN
cana-5533	123	47	of	of	ADP
cana-5533	123	48	sample	sample	NOUN
cana-5533	123	49	sizes	size	NOUN
cana-5533	123	50	and	and	CCONJ
cana-5533	123	51	for	for	ADP
cana-5533	123	52	various	various	ADJ
cana-5533	123	53	values	value	NOUN
cana-5533	123	54	of	of	ADP
cana-5533	123	55	the	the	DET
cana-5533	123	56	parameter	parameter	NOUN
cana-5533	124	1	𝜃.	𝜃.	NOUN
cana-5533	124	2	consider	consider	VERB
cana-5533	124	3	the	the	DET
cana-5533	124	4	problem	problem	NOUN
cana-5533	124	5	of	of	ADP
cana-5533	124	6	testing	test	VERB
cana-5533	124	7	the	the	DET
cana-5533	124	8	hypothesis	hypothesis	NOUN
cana-5533	124	9	0h	0h	NUM
cana-5533	124	10	according	accord	VERB
cana-5533	124	11	to	to	ADP
cana-5533	124	12	which	which	PRON
cana-5533	124	13	the	the	DET
cana-5533	124	14	distribution	distribution	NOUN
cana-5533	124	15	of	of	ADP
cana-5533	124	16	n	n	CCONJ
cana-5533	124	17	independent	independent	ADJ
cana-5533	124	18	identically	identically	ADV
cana-5533	124	19	distributed	distribute	VERB
cana-5533	124	20	random	random	ADJ
cana-5533	124	21	variables	variable	NOUN
cana-5533	124	22	𝑇1	𝑇1	NOUN
cana-5533	124	23	,	,	PUNCT
cana-5533	124	24	𝑇2	𝑇2	NOUN
cana-5533	124	25	,	,	PUNCT
cana-5533	124	26	…	…	PUNCT
cana-5533	124	27	,	,	PUNCT
cana-5533	124	28	𝑇𝑛	𝑇𝑛	PROPN
cana-5533	124	29	belongs	belong	VERB
cana-5533	124	30	to	to	ADP
cana-5533	124	31	the	the	DET
cana-5533	124	32	family	family	NOUN
cana-5533	124	33	of	of	ADP
cana-5533	124	34	𝑂𝑃𝑀	𝑂𝑃𝑀	PROPN
cana-5533	124	35	𝐻0	𝐻0	PROPN
cana-5533	124	36	:	:	PUNCT
cana-5533	124	37	𝑃(𝑇𝑖	𝑃(𝑇𝑖	ADJ
cana-5533	124	38	≤	≤	NUM
cana-5533	124	39	𝑡	𝑡	NOUN
cana-5533	124	40	)	)	PUNCT
cana-5533	124	41	=	=	SYM
cana-5533	125	1	𝐹(𝑡	𝐹(𝑡	X
cana-5533	125	2	)	)	PUNCT
cana-5533	125	3	=	=	SYM
cana-5533	125	4	1	1	NUM
cana-5533	125	5	−	−	NOUN
cana-5533	125	6	𝑒−𝜔𝑡	𝑒−𝜔𝑡	NOUN
cana-5533	125	7	(	(	PUNCT
cana-5533	125	8	1	1	NUM
cana-5533	125	9	+	+	NUM
cana-5533	125	10	2	2	NUM
cana-5533	125	11	3	3	NUM
cana-5533	125	12	𝜔2𝑡	𝜔2𝑡	PROPN
cana-5533	125	13	)	)	PUNCT
cana-5533	125	14	,	,	PUNCT
cana-5533	125	15	𝑡	𝑡	PROPN
cana-5533	125	16	,	,	PUNCT
cana-5533	125	17	𝜔	𝜔	X
cana-5533	125	18	≻	≻	PROPN
cana-5533	125	19	0	0	NUM
cana-5533	125	20	.	.	PUNCT
cana-5533	126	1	we	we	PRON
cana-5533	126	2	divide	divide	VERB
cana-5533	126	3	the	the	DET
cana-5533	126	4	positive	positive	ADJ
cana-5533	126	5	real	real	ADJ
cana-5533	126	6	line	line	NOUN
cana-5533	126	7	into	into	ADP
cana-5533	126	8	r	r	NOUN
cana-5533	126	9	sub	sub	NOUN
cana-5533	126	10	-	-	NOUN
cana-5533	126	11	intervals	interval	NOUN
cana-5533	126	12	𝐼1	𝐼1	NOUN
cana-5533	126	13	,	,	PUNCT
cana-5533	126	14	𝐼2	𝐼2	NOUN
cana-5533	126	15	,	,	PUNCT
cana-5533	126	16	…	…	PUNCT
cana-5533	126	17	,	,	PUNCT
cana-5533	126	18	𝐼	𝐼	ADP
cana-5533	126	19	by	by	ADP
cana-5533	126	20	the	the	DET
cana-5533	126	21	points	point	NOUN
cana-5533	126	22	0	0	PUNCT
cana-5533	127	1	=	=	SYM
cana-5533	127	2	𝑎0	𝑎0	PROPN
cana-5533	127	3	<	<	X
cana-5533	127	4	𝑎1	𝑎1	NOUN
cana-5533	127	5	<	<	X
cana-5533	127	6	⋯	⋯	X
cana-5533	127	7	𝑎𝑟	𝑎𝑟	NOUN
cana-5533	127	8	=	=	PUNCT
cana-5533	127	9	+	+	NOUN
cana-5533	127	10	∞	∞	PROPN
cana-5533	127	11	,	,	PUNCT
cana-5533	127	12	𝐼	𝐼	PROPN
cana-5533	127	13	=	=	SYM
cana-5533	127	14	]	]	X
cana-5533	127	15	𝑎𝑖−1	𝑎𝑖−1	PROPN
cana-5533	127	16	,	,	PUNCT
cana-5533	127	17	𝑎𝑖	𝑎𝑖	X
cana-5533	127	18	]	]	PUNCT
cana-5533	127	19	,	,	PUNCT
cana-5533	127	20	𝐼𝑖	𝐼𝑖	PROPN
cana-5533	127	21	∩	∩	ADJ
cana-5533	127	22	𝐼𝑗	𝐼𝑗	NOUN
cana-5533	127	23	=	=	PUNCT
cana-5533	127	24	∅	∅	NOUN
cana-5533	127	25	,	,	PUNCT
cana-5533	127	26	𝑖	𝑖	PROPN
cana-5533	127	27	,	,	PUNCT
cana-5533	127	28	𝑗	𝑗	NOUN
cana-5533	127	29	=	=	SYM
cana-5533	127	30	1,2	1,2	NUM
cana-5533	127	31	,	,	PUNCT
cana-5533	127	32	…	…	PUNCT
cana-5533	127	33	,	,	PUNCT
cana-5533	127	34	𝑟	𝑟	NOUN
cana-5533	127	35	;	;	PUNCT
cana-5533	127	36	⋃	⋃	PUNCT
cana-5533	127	37	𝐼𝑖	𝐼𝑖	PROPN
cana-5533	127	38	=	=	PUNCT
cana-5533	127	39	𝑅+	𝑅+	PROPN
cana-5533	127	40	∗	∗	NOUN
cana-5533	127	41	𝑟	𝑟	X
cana-5533	127	42	𝑖=1	𝑖=1	PUNCT
cana-5533	128	1	and	and	CCONJ
cana-5533	128	2	we	we	PRON
cana-5533	128	3	group	group	VERB
cana-5533	128	4	the	the	DET
cana-5533	128	5	sample	sample	NOUN
cana-5533	128	6	𝑇1	𝑇1	PROPN
cana-5533	128	7	,	,	PUNCT
cana-5533	128	8	𝑇2	𝑇2	NOUN
cana-5533	128	9	,	,	PUNCT
cana-5533	128	10	…	…	PUNCT
cana-5533	128	11	,	,	PUNCT
cana-5533	128	12	𝑇𝑛	𝑇𝑛	ADV
cana-5533	128	13	over	over	ADP
cana-5533	128	14	these	these	DET
cana-5533	128	15	sub	sub	NOUN
cana-5533	128	16	-	-	NOUN
cana-5533	128	17	intervals	interval	NOUN
cana-5533	128	18	,	,	PUNCT
cana-5533	128	19	we	we	PRON
cana-5533	128	20	obtain	obtain	VERB
cana-5533	128	21	the	the	DET
cana-5533	128	22	vector	vector	NOUN
cana-5533	128	23	of	of	ADP
cana-5533	128	24	frequencies	frequency	NOUN
cana-5533	128	25	𝑣	𝑣	ADP
cana-5533	128	26	=	=	SYM
cana-5533	128	27	(	(	PUNCT
cana-5533	128	28	𝑣1	𝑣1	PROPN
cana-5533	128	29	,	,	PUNCT
cana-5533	128	30	𝑣2	𝑣2	PROPN
cana-5533	128	31	,	,	PUNCT
cana-5533	128	32	…	…	PUNCT
cana-5533	128	33	,	,	PUNCT
cana-5533	128	34	𝑣𝑛	𝑣𝑛	X
cana-5533	128	35	)	)	PUNCT
cana-5533	128	36	𝑇	𝑇	PROPN
cana-5533	128	37	and	and	CCONJ
cana-5533	128	38	the	the	DET
cana-5533	128	39	probability	probability	NOUN
cana-5533	128	40	vector	vector	NOUN
cana-5533	128	41	where	where	SCONJ
cana-5533	128	42	𝑝𝑖(𝜔	𝑝𝑖(𝜔	NOUN
cana-5533	128	43	)	)	PUNCT
cana-5533	128	44	=	=	SYM
cana-5533	128	45	∫	∫	PROPN
cana-5533	128	46	𝑓(𝑡)𝑑𝑡	𝑓(𝑡)𝑑𝑡	PROPN
cana-5533	128	47	𝑎𝑖	𝑎𝑖	ADP
cana-5533	128	48	𝑎𝑖−1	𝑎𝑖−1	NOUN
cana-5533	128	49	=	=	SYM
cana-5533	128	50	𝐹(𝑎𝑖−1	𝐹(𝑎𝑖−1	NUM
cana-5533	128	51	)	)	PUNCT
cana-5533	128	52	−	−	PROPN
cana-5533	128	53	𝐹(𝑎𝑖	𝐹(𝑎𝑖	NOUN
cana-5533	128	54	)	)	PUNCT
cana-5533	128	55	,	,	PUNCT
cana-5533	128	56	𝑖	𝑖	PROPN
cana-5533	128	57	=	=	SYM
cana-5533	128	58	1,2,1	1,2,1	NUM
cana-5533	128	59	,	,	PUNCT
cana-5533	128	60	…	…	PUNCT
cana-5533	128	61	,	,	PUNCT
cana-5533	128	62	𝑟.	𝑟.	NOUN
cana-5533	128	63	to	to	PART
cana-5533	128	64	test	test	VERB
cana-5533	128	65	the	the	DET
cana-5533	128	66	hypothesis	hypothesis	NOUN
cana-5533	128	67	𝐻0	𝐻0	PROPN
cana-5533	128	68	,	,	PUNCT
cana-5533	128	69	pearson	pearson	PROPN
cana-5533	128	70	proposed	propose	VERB
cana-5533	128	71	a	a	DET
cana-5533	128	72	test	test	NOUN
cana-5533	128	73	based	base	VERB
cana-5533	128	74	on	on	ADP
cana-5533	128	75	the	the	DET
cana-5533	128	76	so	so	ADV
cana-5533	128	77	-	-	PUNCT
cana-5533	128	78	called	call	VERB
cana-5533	128	79	pearson	pearson	NOUN
cana-5533	128	80	's	's	PART
cana-5533	128	81	𝜒2	𝜒2	NOUN
cana-5533	128	82	of	of	ADP
cana-5533	128	83	the	the	DET
cana-5533	128	84	form	form	NOUN
cana-5533	128	85	𝜒𝑛	𝜒𝑛	ADP
cana-5533	128	86	2(𝜔	2(𝜔	NUM
cana-5533	128	87	)	)	PUNCT
cana-5533	128	88	=	=	PUNCT
cana-5533	128	89	𝜒𝑛	𝜒𝑛	ADP
cana-5533	128	90	𝑇(𝜔)𝜒𝑛(𝜔	𝑇(𝜔)𝜒𝑛(𝜔	NOUN
cana-5533	128	91	)	)	PUNCT
cana-5533	128	92	=	=	PUNCT
cana-5533	128	93	∑	∑	PUNCT
cana-5533	128	94	(	(	PUNCT
cana-5533	128	95	𝑣𝑖	𝑣𝑖	ADP
cana-5533	128	96	−	−	PROPN
cana-5533	128	97	𝑛𝑝𝑖(𝜔))2	𝑛𝑝𝑖(𝜔))2	NOUN
cana-5533	128	98	𝑛𝑝𝑖(𝜔	𝑛𝑝𝑖(𝜔	NOUN
cana-5533	128	99	)	)	PUNCT
cana-5533	128	100	𝑟	𝑟	NOUN
cana-5533	128	101	𝑖=1	𝑖=1	PUNCT
cana-5533	128	102	where	where	SCONJ
cana-5533	128	103	𝜒𝑛(𝜔	𝜒𝑛(𝜔	NOUN
cana-5533	128	104	)	)	PUNCT
cana-5533	128	105	=	=	SYM
cana-5533	129	1	(	(	PUNCT
cana-5533	129	2	𝑣1	𝑣1	PROPN
cana-5533	129	3	−	−	PROPN
cana-5533	129	4	𝑛𝑝1(𝜔	𝑛𝑝1(𝜔	PROPN
cana-5533	129	5	)	)	PUNCT
cana-5533	129	6	√𝑛𝑝1(𝜔	√𝑛𝑝1(𝜔	PROPN
cana-5533	129	7	)	)	PUNCT
cana-5533	129	8	,	,	PUNCT
cana-5533	129	9	𝑣2	𝑣2	PROPN
cana-5533	129	10	−	−	PROPN
cana-5533	129	11	𝑛𝑝2(𝜔	𝑛𝑝2(𝜔	PROPN
cana-5533	129	12	)	)	PUNCT
cana-5533	129	13	√𝑛𝑝2(𝜔	√𝑛𝑝2(𝜔	PROPN
cana-5533	129	14	)	)	PUNCT
cana-5533	129	15	,	,	PUNCT
cana-5533	129	16	…	…	PUNCT
cana-5533	129	17	,	,	PUNCT
cana-5533	129	18	𝑣𝑟	𝑣𝑟	ADP
cana-5533	129	19	−	−	PROPN
cana-5533	129	20	𝑛𝑝𝑟(𝜔	𝑛𝑝𝑟(𝜔	NUM
cana-5533	129	21	)	)	PUNCT
cana-5533	129	22	√𝑛𝑝𝑟(𝜔	√𝑛𝑝𝑟(𝜔	NOUN
cana-5533	129	23	)	)	PUNCT
cana-5533	129	24	)	)	PUNCT
cana-5533	130	1	𝑇	𝑇	PROPN
cana-5533	130	2	under	under	ADP
cana-5533	130	3	𝐻0	𝐻0	NOUN
cana-5533	130	4	if	if	SCONJ
cana-5533	130	5	𝜔	𝜔	NOUN
cana-5533	130	6	is	be	AUX
cana-5533	130	7	known	know	VERB
cana-5533	130	8	,	,	PUNCT
cana-5533	130	9	it	it	PRON
cana-5533	130	10	was	be	AUX
cana-5533	130	11	shown	show	VERB
cana-5533	130	12	by	by	ADP
cana-5533	130	13	pearson	pearson	PROPN
cana-5533	130	14	(	(	PUNCT
cana-5533	130	15	1900	1900	NUM
cana-5533	130	16	)	)	PUNCT
cana-5533	131	1	that	that	SCONJ
cana-5533	131	2	lim	lim	PROPN
cana-5533	131	3	𝑥→∞	𝑥→∞	VERB
cana-5533	131	4	𝑃(𝜒𝑛	𝑃(𝜒𝑛	X
cana-5533	131	5	2(𝜔	2(𝜔	NUM
cana-5533	131	6	)	)	PUNCT
cana-5533	131	7	≤	≤	NUM
cana-5533	131	8	𝑡	𝑡	NOUN
cana-5533	131	9	)	)	PUNCT
cana-5533	131	10	=	=	SYM
cana-5533	131	11	𝑃(𝜒𝑟−1	𝑃(𝜒𝑟−1	ADJ
cana-5533	132	1	2	2	NUM
cana-5533	132	2	≤	≤	NUM
cana-5533	132	3	𝑡	𝑡	NOUN
cana-5533	132	4	)	)	PUNCT
cana-5533	132	5	the	the	DET
cana-5533	132	6	hypothesis	hypothesis	NOUN
cana-5533	132	7	𝐻0	𝐻0	NOUN
cana-5533	132	8	must	must	AUX
cana-5533	132	9	be	be	AUX
cana-5533	132	10	rejected	reject	VERB
cana-5533	132	11	at	at	ADP
cana-5533	132	12	a	a	DET
cana-5533	132	13	significance	significance	NOUN
cana-5533	132	14	level	level	NOUN
cana-5533	132	15	𝛼	𝛼	NOUN
cana-5533	132	16	whenever	whenever	SCONJ
cana-5533	132	17	𝜒𝑛	𝜒𝑛	PROPN
cana-5533	132	18	2(𝜔	2(𝜔	NUM
cana-5533	132	19	)	)	PUNCT
cana-5533	132	20	>	>	X
cana-5533	133	1	𝐶𝛼	𝐶𝛼	NOUN
cana-5533	133	2	where	where	SCONJ
cana-5533	133	3	𝐶𝛼	𝐶𝛼	PROPN
cana-5533	133	4	is	be	AUX
cana-5533	133	5	the	the	DET
cana-5533	133	6	critical	critical	ADJ
cana-5533	133	7	value	value	NOUN
cana-5533	133	8	of	of	ADP
cana-5533	133	9	the	the	DET
cana-5533	133	10	pearson	pearson	NOUN
cana-5533	133	11	's	's	PART
cana-5533	133	12	test	test	NOUN
cana-5533	133	13	,	,	PUNCT
cana-5533	133	14	𝐶𝛼	𝐶𝛼	PROPN
cana-5533	133	15	=	=	PUNCT
cana-5533	133	16	𝜒𝑟−1,1−𝛼	𝜒𝑟−1,1−𝛼	NOUN
cana-5533	133	17	2	2	NUM
cana-5533	133	18	is	be	AUX
cana-5533	133	19	the	the	DET
cana-5533	133	20	upper	upper	ADJ
cana-5533	133	21	𝛼quantile	𝛼quantile	NOUN
cana-5533	133	22	of	of	ADP
cana-5533	133	23	the	the	DET
cana-5533	133	24	𝜒	𝜒	SYM
cana-5533	133	25	2	2	NUM
cana-5533	133	26	distribution	distribution	NOUN
cana-5533	133	27	with	with	ADP
cana-5533	133	28	𝑟	𝑟	NOUN
cana-5533	133	29	−	−	PROPN
cana-5533	133	30	1	1	NUM
cana-5533	133	31	degrees	degree	NOUN
cana-5533	133	32	of	of	ADP
cana-5533	133	33	freedom	freedom	NOUN
cana-5533	133	34	.	.	PUNCT
cana-5533	134	1	but	but	CCONJ
cana-5533	134	2	generally	generally	ADV
cana-5533	134	3	𝜔	𝜔	AUX
cana-5533	134	4	is	be	AUX
cana-5533	134	5	unknown	unknown	ADJ
cana-5533	134	6	and	and	CCONJ
cana-5533	134	7	must	must	AUX
cana-5533	134	8	be	be	AUX
cana-5533	134	9	estimated	estimate	VERB
cana-5533	134	10	using	use	VERB
cana-5533	134	11	the	the	DET
cana-5533	134	12	sample	sample	NOUN
cana-5533	134	13	𝑇1	𝑇1	NOUN
cana-5533	134	14	,	,	PUNCT
cana-5533	134	15	𝑇2	𝑇2	NOUN
cana-5533	134	16	,	,	PUNCT
cana-5533	134	17	…	…	PUNCT
cana-5533	134	18	,	,	PUNCT
cana-5533	135	1	𝑇𝑛.	𝑇𝑛.	VERB
cana-5533	135	2	if	if	SCONJ
cana-5533	135	3	we	we	PRON
cana-5533	135	4	replace	replace	VERB
cana-5533	135	5	𝜔	𝜔	PUNCT
cana-5533	135	6	in	in	ADP
cana-5533	135	7	equation	equation	NOUN
cana-5533	135	8	1	1	NUM
cana-5533	135	9	by	by	ADP
cana-5533	135	10	any	any	DET
cana-5533	135	11	consistent	consistent	ADJ
cana-5533	135	12	estimate	estimate	NOUN
cana-5533	135	13	𝜔𝑛	𝜔𝑛	ADP
cana-5533	135	14	∗	∗	NOUN
cana-5533	135	15	,	,	PUNCT
cana-5533	135	16	the	the	DET
cana-5533	135	17	limit	limit	NOUN
cana-5533	135	18	distribution	distribution	NOUN
cana-5533	135	19	of	of	ADP
cana-5533	135	20	equation	equation	NOUN
cana-5533	135	21	2	2	NUM
cana-5533	135	22	will	will	AUX
cana-5533	135	23	not	not	PART
cana-5533	135	24	𝜒𝑟−1	𝜒𝑟−1	VERB
cana-5533	135	25	2	2	NUM
cana-5533	135	26	and	and	CCONJ
cana-5533	135	27	communications	communication	NOUN
cana-5533	135	28	on	on	ADP
cana-5533	135	29	applied	apply	VERB
cana-5533	135	30	nonlinear	nonlinear	ADJ
cana-5533	135	31	analysis	analysis	NOUN
cana-5533	135	32	issn	issn	NOUN
cana-5533	135	33	:	:	PUNCT
cana-5533	135	34	1074	1074	NUM
cana-5533	135	35	-	-	PUNCT
cana-5533	135	36	133x	133x	NUM
cana-5533	135	37	vol	vol	VERB
cana-5533	135	38	32	32	NUM
cana-5533	135	39	no	no	NOUN
cana-5533	135	40	.	.	PUNCT
cana-5533	136	1	10s	10	NOUN
cana-5533	136	2	(	(	PUNCT
cana-5533	136	3	2025	2025	NUM
cana-5533	136	4	)	)	PUNCT
cana-5533	136	5	2555	2555	NUM
cana-5533	136	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-5533	136	7	changes	change	NOUN
cana-5533	136	8	dramatically	dramatically	ADV
cana-5533	136	9	,	,	PUNCT
cana-5533	136	10	it	it	PRON
cana-5533	136	11	depends	depend	VERB
cana-5533	136	12	both	both	PRON
cana-5533	136	13	on	on	ADP
cana-5533	136	14	the	the	DET
cana-5533	136	15	method	method	NOUN
cana-5533	136	16	of	of	ADP
cana-5533	136	17	estimation	estimation	NOUN
cana-5533	136	18	of	of	ADP
cana-5533	136	19	𝜔	𝜔	NOUN
cana-5533	136	20	and	and	CCONJ
cana-5533	136	21	the	the	DET
cana-5533	136	22	proprieties	propriety	NOUN
cana-5533	136	23	of	of	ADP
cana-5533	136	24	the	the	DET
cana-5533	136	25	estimator	estimator	NOUN
cana-5533	136	26	𝜔𝑛	𝜔𝑛	NOUN
cana-5533	136	27	∗	∗	NOUN
cana-5533	136	28	.	.	PUNCT
cana-5533	137	1	smith	smith	NOUN
cana-5533	137	2	(	(	PUNCT
cana-5533	137	3	1973	1973	NUM
cana-5533	137	4	a	a	PRON
cana-5533	137	5	,	,	PUNCT
cana-5533	137	6	b	b	NOUN
cana-5533	137	7	)	)	PUNCT
cana-5533	137	8	proposed	propose	VERB
cana-5533	137	9	to	to	PART
cana-5533	137	10	modify	modify	VERB
cana-5533	137	11	the	the	DET
cana-5533	137	12	standard	standard	ADJ
cana-5533	137	13	chi	chi	NOUN
cana-5533	137	14	-	-	PUNCT
cana-5533	137	15	squared	square	VERB
cana-5533	137	16	pearson	pearson	PROPN
cana-5533	137	17	's	's	PART
cana-5533	137	18	test	test	NOUN
cana-5533	137	19	(	(	PUNCT
cana-5533	137	20	1	1	X
cana-5533	137	21	)	)	PUNCT
cana-5533	137	22	for	for	ADP
cana-5533	137	23	continuous	continuous	ADJ
cana-5533	137	24	distribution	distribution	NOUN
cana-5533	137	25	with	with	ADP
cana-5533	137	26	shift	shift	NOUN
cana-5533	137	27	and	and	CCONJ
cana-5533	137	28	scale	scale	NOUN
cana-5533	137	29	parameters	parameter	NOUN
cana-5533	137	30	,	,	PUNCT
cana-5533	137	31	also	also	ADV
cana-5533	137	32	rao	rao	VERB
cana-5533	137	33	et	et	PROPN
cana-5533	137	34	al	al	PROPN
cana-5533	137	35	.	.	PROPN
cana-5533	138	1	(	(	PUNCT
cana-5533	138	2	1974	1974	NUM
cana-5533	138	3	)	)	PUNCT
cana-5533	138	4	had	have	AUX
cana-5533	138	5	obtained	obtain	VERB
cana-5533	138	6	the	the	DET
cana-5533	138	7	same	same	ADJ
cana-5533	138	8	result	result	NOUN
cana-5533	138	9	for	for	ADP
cana-5533	138	10	exponential	exponential	ADJ
cana-5533	138	11	family	family	NOUN
cana-5533	138	12	,	,	PUNCT
cana-5533	138	13	the	the	DET
cana-5533	138	14	test	test	NOUN
cana-5533	138	15	is	be	AUX
cana-5533	138	16	well	well	ADV
cana-5533	138	17	known	know	VERB
cana-5533	138	18	as	as	ADP
cana-5533	138	19	the	the	DET
cana-5533	138	20	nikulin	nikulin	NOUN
cana-5533	138	21	-	-	PUNCT
cana-5533	138	22	rao	rao	NOUN
cana-5533	138	23	-	-	PUNCT
cana-5533	138	24	robson	robson	NOUN
cana-5533	138	25	(	(	PUNCT
cana-5533	138	26	nrr	nrr	PROPN
cana-5533	138	27	)	)	PUNCT
cana-5533	138	28	test	test	NOUN
cana-5533	138	29	van	van	PROPN
cana-5533	138	30	der	der	PROPN
cana-5533	138	31	vaart	vaart	PROPN
cana-5533	138	32	(	(	PUNCT
cana-5533	138	33	1998	1998	NUM
cana-5533	138	34	)	)	PUNCT
cana-5533	138	35	,	,	PUNCT
cana-5533	138	36	and	and	CCONJ
cana-5533	138	37	drost	drost	ADJ
cana-5533	138	38	(	(	PUNCT
cana-5533	138	39	1988	1988	NUM
cana-5533	138	40	)	)	PUNCT
cana-5533	138	41	and	and	CCONJ
cana-5533	138	42	can	can	AUX
cana-5533	138	43	be	be	AUX
cana-5533	138	44	written	write	VERB
cana-5533	138	45	as	as	ADP
cana-5533	138	46	(	(	PUNCT
cana-5533	138	47	greenwood	greenwood	PROPN
cana-5533	138	48	et	et	PROPN
cana-5533	138	49	al	al	PROPN
cana-5533	138	50	.	.	PROPN
cana-5533	138	51	,	,	PUNCT
cana-5533	138	52	1996	1996	NUM
cana-5533	138	53	):	):	PUNCT
cana-5533	139	1	𝑌𝑛	𝑌𝑛	PROPN
cana-5533	139	2	2(	2(	NUM
cana-5533	139	3	�	�	PROPN
cana-5533	139	4	̂	̂	NUM
cana-5533	139	5	�	�	NOUN
cana-5533	139	6	)	)	PUNCT
cana-5533	139	7	=	=	SYM
cana-5533	139	8	𝑋𝑛	𝑋𝑛	PROPN
cana-5533	139	9	2(	2(	NUM
cana-5533	139	10	�	�	PROPN
cana-5533	139	11	̂	̂	NUM
cana-5533	139	12	�	�	NOUN
cana-5533	139	13	)	)	PUNCT
cana-5533	139	14	+	+	CCONJ
cana-5533	139	15	𝑋𝑛	𝑋𝑛	PROPN
cana-5533	139	16	𝑇(𝜃	𝑇(𝜃	PROPN
cana-5533	139	17	�	�	PROPN
cana-5533	139	18	̂	̂	SYM
cana-5533	139	19	�	�	PROPN
cana-5533	139	20	)𝐵(	)𝐵(	ADJ
cana-5533	139	21	�	�	PROPN
cana-5533	139	22	̂	̂	VERB
cana-5533	139	23	�	�	PROPN
cana-5533	139	24	)(𝐼(	)(𝐼(	NOUN
cana-5533	139	25	�	�	PROPN
cana-5533	139	26	̂	̂	VERB
cana-5533	139	27	�	�	NOUN
cana-5533	139	28	)	)	PUNCT
cana-5533	139	29	−	−	PROPN
cana-5533	139	30	𝐽(	𝐽(	X
cana-5533	139	31	�	�	PROPN
cana-5533	139	32	̂	̂	PROPN
cana-5533	139	33	�	�	PROPN
cana-5533	139	34	))−1𝐵	))−1𝐵	PUNCT
cana-5533	139	35	𝑇(	𝑇(	VERB
cana-5533	139	36	�	�	PROPN
cana-5533	139	37	̂	̂	NOUN
cana-5533	139	38	�	�	NOUN
cana-5533	139	39	)𝑋𝑛	)𝑋𝑛	NOUN
cana-5533	139	40	(	(	PUNCT
cana-5533	139	41	�	�	PROPN
cana-5533	139	42	̂	̂	NUM
cana-5533	139	43	�	�	NOUN
cana-5533	139	44	)	)	PUNCT
cana-5533	139	45	with	with	ADP
cana-5533	139	46	𝐵(𝜔	𝐵(𝜔	NOUN
cana-5533	139	47	)	)	PUNCT
cana-5533	139	48	=	=	SYM
cana-5533	139	49	(	(	PUNCT
cana-5533	139	50	𝑝1(𝜔	𝑝1(𝜔	PROPN
cana-5533	139	51	)	)	PUNCT
cana-5533	139	52	,	,	PUNCT
cana-5533	139	53	𝑝2(𝜔	𝑝2(𝜔	NOUN
cana-5533	139	54	)	)	PUNCT
cana-5533	139	55	,	,	PUNCT
cana-5533	139	56	…	…	PUNCT
cana-5533	139	57	,	,	PUNCT
cana-5533	139	58	𝑝𝑟(𝜔))𝑇	𝑝𝑟(𝜔))𝑇	PROPN
cana-5533	139	59	,	,	PUNCT
cana-5533	139	60	𝑏𝑖(𝜔	𝑏𝑖(𝜔	X
cana-5533	139	61	)	)	PUNCT
cana-5533	139	62	=	=	SYM
cana-5533	139	63	1	1	NUM
cana-5533	139	64	√𝑝𝑖(𝜔	√𝑝𝑖(𝜔	PROPN
cana-5533	139	65	)	)	PUNCT
cana-5533	139	66	𝜕𝑝𝑖(𝜔	𝜕𝑝𝑖(𝜔	NOUN
cana-5533	139	67	)	)	PUNCT
cana-5533	139	68	𝜕𝜔	𝜕𝜔	NOUN
cana-5533	139	69	,	,	PUNCT
cana-5533	139	70	𝑖	𝑖	SYM
cana-5533	139	71	=	=	SYM
cana-5533	139	72	1	1	NUM
cana-5533	139	73	,	,	PUNCT
cana-5533	139	74	2	2	NUM
cana-5533	139	75	,	,	PUNCT
cana-5533	139	76	…	…	PUNCT
cana-5533	139	77	,	,	PUNCT
cana-5533	139	78	𝑟	𝑟	X
cana-5533	139	79	and	and	CCONJ
cana-5533	139	80	𝑛𝐽(𝜔	𝑛𝐽(𝜔	NUM
cana-5533	139	81	)	)	PUNCT
cana-5533	139	82	=	=	SYM
cana-5533	139	83	𝑛𝐵𝑇(𝜔)𝐵(𝜔	𝑛𝐵𝑇(𝜔)𝐵(𝜔	PROPN
cana-5533	139	84	)	)	PUNCT
cana-5533	139	85	is	be	AUX
cana-5533	139	86	the	the	DET
cana-5533	139	87	fisher	fisher	NOUN
cana-5533	139	88	's	's	PART
cana-5533	139	89	information	information	NOUN
cana-5533	139	90	matrix	matrix	NOUN
cana-5533	139	91	of	of	ADP
cana-5533	139	92	the	the	DET
cana-5533	139	93	vector	vector	NOUN
cana-5533	139	94	of	of	ADP
cana-5533	139	95	frequencies	frequency	NOUN
cana-5533	139	96	,	,	PUNCT
cana-5533	139	97	and	and	CCONJ
cana-5533	139	98	𝐼	𝐼	PROPN
cana-5533	139	99	is	be	AUX
cana-5533	139	100	the	the	DET
cana-5533	139	101	the	the	DET
cana-5533	139	102	fisher	fisher	NOUN
cana-5533	139	103	's	's	PART
cana-5533	139	104	information	information	NOUN
cana-5533	139	105	matrix	matrix	NOUN
cana-5533	139	106	of	of	ADP
cana-5533	139	107	𝑇𝑖	𝑇𝑖	PROPN
cana-5533	139	108	,	,	PUNCT
cana-5533	139	109	such	such	ADJ
cana-5533	139	110	that	that	SCONJ
cana-5533	139	111	𝑛𝐼	𝑛𝐼	ADJ
cana-5533	139	112	=	=	SYM
cana-5533	139	113	−𝐸	−𝐸	NOUN
cana-5533	139	114	(	(	PUNCT
cana-5533	139	115	𝜕2𝑙(𝜔	𝜕2𝑙(𝜔	PROPN
cana-5533	139	116	)	)	PUNCT
cana-5533	139	117	𝜕𝜔2	𝜕𝜔2	PROPN
cana-5533	139	118	)	)	PUNCT
cana-5533	139	119	,	,	PUNCT
cana-5533	139	120	where	where	SCONJ
cana-5533	139	121	𝜕2𝑙(𝜔	𝜕2𝑙(𝜔	NOUN
cana-5533	139	122	)	)	PUNCT
cana-5533	139	123	𝜕𝜔2	𝜕𝜔2	VERB
cana-5533	139	124	=	=	PUNCT
cana-5533	139	125	−	−	NOUN
cana-5533	139	126	𝑛	𝑛	PRON
cana-5533	139	127	𝜔2	𝜔2	NOUN
cana-5533	139	128	−	−	NOUN
cana-5533	139	129	∑	∑	PUNCT
cana-5533	139	130	2𝑥𝑖	2𝑥𝑖	ADJ
cana-5533	139	131	2	2	NUM
cana-5533	139	132	(	(	PUNCT
cana-5533	139	133	1	1	NUM
cana-5533	139	134	+	+	NUM
cana-5533	139	135	2𝜔𝑥𝑖)2	2𝜔𝑥𝑖)2	NUM
cana-5533	139	136	𝑛	𝑛	PRON
cana-5533	139	137	𝑖=1	𝑖=1	PROPN
cana-5533	140	1	the	the	DET
cana-5533	140	2	asymptotic	asymptotic	ADJ
cana-5533	140	3	behavior	behavior	NOUN
cana-5533	140	4	of	of	ADP
cana-5533	140	5	the	the	DET
cana-5533	140	6	statistics	statistic	NOUN
cana-5533	140	7	𝑌𝑛	𝑌𝑛	PROPN
cana-5533	140	8	2(	2(	NUM
cana-5533	140	9	�	�	PROPN
cana-5533	140	10	̂	̂	NUM
cana-5533	140	11	�	�	NOUN
cana-5533	140	12	)	)	PUNCT
cana-5533	140	13	(	(	PUNCT
cana-5533	140	14	smith	smith	PROPN
cana-5533	140	15	,	,	PUNCT
cana-5533	140	16	1973	1973	NUM
cana-5533	140	17	a	a	DET
cana-5533	140	18	,	,	PUNCT
cana-5533	140	19	b	b	NOUN
cana-5533	140	20	)	)	PUNCT
cana-5533	140	21	is	be	AUX
cana-5533	140	22	given	give	VERB
cana-5533	140	23	by	by	ADP
cana-5533	140	24	the	the	DET
cana-5533	140	25	following	following	NOUN
cana-5533	140	26	:	:	PUNCT
cana-5533	141	1	lim	lim	PROPN
cana-5533	141	2	𝑥→∞	𝑥→∞	NUM
cana-5533	141	3	𝑃(𝑌𝑛	𝑃(𝑌𝑛	VERB
cana-5533	141	4	2(	2(	NUM
cana-5533	141	5	�	�	PROPN
cana-5533	141	6	̂	̂	NUM
cana-5533	141	7	�	�	NOUN
cana-5533	141	8	)	)	PUNCT
cana-5533	141	9	≤	≤	NUM
cana-5533	141	10	𝑡	𝑡	NOUN
cana-5533	141	11	)	)	PUNCT
cana-5533	141	12	=	=	SYM
cana-5533	141	13	𝑃(𝜒𝑟−1	𝑃(𝜒𝑟−1	ADJ
cana-5533	141	14	2	2	NUM
cana-5533	141	15	≤	≤	NUM
cana-5533	141	16	𝑡	𝑡	NOUN
cana-5533	141	17	)	)	PUNCT
cana-5533	141	18	notice	notice	VERB
cana-5533	141	19	that	that	SCONJ
cana-5533	141	20	hsuan	hsuan	PROPN
cana-5533	141	21	et	et	PROPN
cana-5533	141	22	al	al	PROPN
cana-5533	141	23	.	.	PROPN
cana-5533	142	1	(	(	PUNCT
cana-5533	142	2	1976	1976	NUM
cana-5533	142	3	)	)	PUNCT
cana-5533	142	4	(	(	PUNCT
cana-5533	142	5	mirvaliev	mirvaliev	NOUN
cana-5533	142	6	,	,	PUNCT
cana-5533	142	7	.	.	PUNCT
cana-5533	142	8	,	,	PUNCT
cana-5533	142	9	2001	2001	NUM
cana-5533	142	10	;	;	PUNCT
cana-5533	142	11	voinov	voinov	PROPN
cana-5533	142	12	et	et	PROPN
cana-5533	142	13	al	al	PROPN
cana-5533	142	14	.	.	PROPN
cana-5533	142	15	,	,	PUNCT
cana-5533	142	16	2008	2008	NUM
cana-5533	142	17	;	;	PUNCT
cana-5533	142	18	voinov	voinov	PROPN
cana-5533	142	19	et	et	PROPN
cana-5533	142	20	al	al	PROPN
cana-5533	142	21	.	.	PROPN
cana-5533	142	22	,	,	PUNCT
cana-5533	142	23	2009	2009	NUM
cana-5533	142	24	)	)	PUNCT
cana-5533	142	25	have	have	AUX
cana-5533	142	26	proposed	propose	VERB
cana-5533	142	27	a	a	DET
cana-5533	142	28	modification	modification	NOUN
cana-5533	142	29	of	of	ADP
cana-5533	142	30	the	the	DET
cana-5533	142	31	standard	standard	ADJ
cana-5533	142	32	pearson	pearson	PROPN
cana-5533	142	33	's	's	PART
cana-5533	142	34	test	test	NOUN
cana-5533	142	35	(	(	PUNCT
cana-5533	142	36	1	1	X
cana-5533	142	37	)	)	PUNCT
cana-5533	142	38	by	by	ADP
cana-5533	142	39	using	use	VERB
cana-5533	142	40	the	the	DET
cana-5533	142	41	method	method	NOUN
cana-5533	142	42	of	of	ADP
cana-5533	142	43	moments	moment	NOUN
cana-5533	142	44	.	.	PUNCT
cana-5533	143	1	simulation	simulation	NOUN
cana-5533	143	2	study	study	NOUN
cana-5533	143	3	for	for	ADP
cana-5533	143	4	study	study	NOUN
cana-5533	143	5	empirically	empirically	ADV
cana-5533	143	6	the	the	DET
cana-5533	143	7	behavior	behavior	NOUN
cana-5533	143	8	of	of	ADP
cana-5533	143	9	the	the	DET
cana-5533	143	10	statistic	statistic	NOUN
cana-5533	143	11	𝑌𝑛	𝑌𝑛	PROPN
cana-5533	143	12	2	2	NUM
cana-5533	143	13	,	,	PUNCT
cana-5533	143	14	we	we	PRON
cana-5533	143	15	generate	generate	VERB
cana-5533	143	16	from	from	ADP
cana-5533	143	17	𝑂𝑃𝑀	𝑂𝑃𝑀	PROPN
cana-5533	143	18	samples	sample	NOUN
cana-5533	143	19	size	size	NOUN
cana-5533	143	20	with	with	ADP
cana-5533	143	21	n=20	n=20	NOUN
cana-5533	143	22	,	,	PUNCT
cana-5533	143	23	30	30	NUM
cana-5533	143	24	,	,	PUNCT
cana-5533	143	25	50	50	NUM
cana-5533	143	26	,	,	PUNCT
cana-5533	143	27	80	80	NUM
cana-5533	143	28	,	,	PUNCT
cana-5533	143	29	100	100	NUM
cana-5533	143	30	,	,	PUNCT
cana-5533	143	31	150	150	NUM
cana-5533	143	32	,	,	PUNCT
cana-5533	143	33	200	200	NUM
cana-5533	143	34	,	,	PUNCT
cana-5533	143	35	300	300	NUM
cana-5533	143	36	,	,	PUNCT
cana-5533	143	37	500	500	NUM
cana-5533	143	38	and	and	CCONJ
cana-5533	143	39	1000	1000	NUM
cana-5533	143	40	,	,	PUNCT
cana-5533	143	41	and	and	CCONJ
cana-5533	143	42	for	for	ADP
cana-5533	143	43	various	various	ADJ
cana-5533	143	44	values	value	NOUN
cana-5533	143	45	of	of	ADP
cana-5533	143	46	the	the	DET
cana-5533	143	47	parameter	parameter	NOUN
cana-5533	143	48	𝜔=(0.01	𝜔=(0.01	PROPN
cana-5533	143	49	,	,	PUNCT
cana-5533	143	50	0.5	0.5	NUM
cana-5533	143	51	,	,	PUNCT
cana-5533	143	52	1.5	1.5	NUM
cana-5533	143	53	,	,	PUNCT
cana-5533	143	54	5	5	NUM
cana-5533	143	55	,	,	PUNCT
cana-5533	143	56	10	10	NUM
cana-5533	143	57	)	)	PUNCT
cana-5533	143	58	.	.	PUNCT
cana-5533	144	1	in	in	ADP
cana-5533	144	2	this	this	DET
cana-5533	144	3	study	study	NOUN
cana-5533	144	4	,	,	PUNCT
cana-5533	144	5	we	we	PRON
cana-5533	144	6	choose	choose	VERB
cana-5533	144	7	the	the	DET
cana-5533	144	8	significance	significance	NOUN
cana-5533	144	9	level	level	NOUN
cana-5533	144	10	𝛼=0.05	𝛼=0.05	NOUN
cana-5533	144	11	.	.	PUNCT
cana-5533	145	1	consider	consider	VERB
cana-5533	145	2	the	the	DET
cana-5533	145	3	case	case	NOUN
cana-5533	145	4	of	of	ADP
cana-5533	145	5	equiprobability	equiprobability	NOUN
cana-5533	145	6	.	.	PUNCT
cana-5533	146	1	each	each	DET
cana-5533	146	2	sample	sample	NOUN
cana-5533	146	3	(	(	PUNCT
cana-5533	146	4	n	n	CCONJ
cana-5533	146	5	,	,	PUNCT
cana-5533	146	6	𝜃	𝜃	X
cana-5533	146	7	)	)	PUNCT
cana-5533	146	8	is	be	AUX
cana-5533	146	9	repeated	repeat	VERB
cana-5533	146	10	5000	5000	NUM
cana-5533	146	11	times	time	NOUN
cana-5533	146	12	.	.	PUNCT
cana-5533	147	1	for	for	ADP
cana-5533	147	2	each	each	DET
cana-5533	147	3	operation	operation	NOUN
cana-5533	147	4	,	,	PUNCT
cana-5533	147	5	we	we	PRON
cana-5533	147	6	compute	compute	VERB
cana-5533	147	7	the	the	DET
cana-5533	147	8	nrr	nrr	PROPN
cana-5533	147	9	statistic	statistic	PROPN
cana-5533	147	10	𝑌𝑛	𝑌𝑛	PROPN
cana-5533	147	11	2	2	NUM
cana-5533	147	12	,	,	PUNCT
cana-5533	147	13	then	then	ADV
cana-5533	147	14	we	we	PRON
cana-5533	147	15	calculate	calculate	VERB
cana-5533	147	16	the	the	DET
cana-5533	147	17	empirical	empirical	ADJ
cana-5533	147	18	confidence	confidence	NOUN
cana-5533	147	19	level	level	NOUN
cana-5533	147	20	e.l	e.l	PROPN
cana-5533	147	21	.	.	PROPN
cana-5533	148	1	which	which	PRON
cana-5533	148	2	counts	count	VERB
cana-5533	148	3	the	the	DET
cana-5533	148	4	number	number	NOUN
cana-5533	148	5	of	of	ADP
cana-5533	148	6	times	time	NOUN
cana-5533	148	7	where	where	SCONJ
cana-5533	148	8	𝑌𝑛	𝑌𝑛	PROPN
cana-5533	148	9	2	2	NUM
cana-5533	148	10	≤	≤	NOUN
cana-5533	148	11	𝐶𝛼	𝐶𝛼	NOUN
cana-5533	148	12	=	=	PUNCT
cana-5533	148	13	𝜒𝑟−1,1−𝛼	𝜒𝑟−1,1−𝛼	NOUN
cana-5533	148	14	2	2	NUM
cana-5533	148	15	divided	divide	VERB
cana-5533	148	16	by	by	ADP
cana-5533	148	17	5000	5000	NUM
cana-5533	148	18	.	.	PUNCT
cana-5533	149	1	for	for	ADP
cana-5533	149	2	the	the	DET
cana-5533	149	3	significance	significance	NOUN
cana-5533	149	4	level	level	NOUN
cana-5533	149	5	𝛼=0.05	𝛼=0.05	NOUN
cana-5533	149	6	,	,	PUNCT
cana-5533	149	7	theoretically	theoretically	ADV
cana-5533	149	8	we	we	PRON
cana-5533	149	9	have	have	VERB
cana-5533	149	10	e.l.=1𝛼=0.95	e.l.=1𝛼=0.95	PROPN
cana-5533	149	11	.	.	PUNCT
cana-5533	150	1	the	the	DET
cana-5533	150	2	results	result	NOUN
cana-5533	150	3	are	be	AUX
cana-5533	150	4	grouped	group	VERB
cana-5533	150	5	in	in	ADP
cana-5533	150	6	table	table	NOUN
cana-5533	150	7	2	2	NUM
cana-5533	150	8	and	and	CCONJ
cana-5533	150	9	figure	figure	VERB
cana-5533	150	10	2	2	NUM
cana-5533	150	11	.	.	PUNCT
cana-5533	150	12	quick	quick	ADJ
cana-5533	150	13	reading	reading	NOUN
cana-5533	150	14	of	of	ADP
cana-5533	150	15	table	table	NOUN
cana-5533	150	16	1	1	NUM
cana-5533	150	17	indicates	indicate	VERB
cana-5533	150	18	that	that	SCONJ
cana-5533	150	19	the	the	DET
cana-5533	150	20	values	value	NOUN
cana-5533	150	21	of	of	ADP
cana-5533	150	22	the	the	DET
cana-5533	150	23	empirical	empirical	ADJ
cana-5533	150	24	confidence	confidence	NOUN
cana-5533	150	25	level	level	NOUN
cana-5533	150	26	(	(	PUNCT
cana-5533	150	27	e.l	e.l	PROPN
cana-5533	150	28	.	.	PROPN
cana-5533	150	29	)	)	PUNCT
cana-5533	150	30	are	be	AUX
cana-5533	150	31	very	very	ADV
cana-5533	150	32	close	close	ADJ
cana-5533	150	33	to	to	ADP
cana-5533	150	34	the	the	DET
cana-5533	150	35	theoretical	theoretical	ADJ
cana-5533	150	36	value	value	NOUN
cana-5533	150	37	0.95	0.95	NUM
cana-5533	150	38	,	,	PUNCT
cana-5533	150	39	which	which	PRON
cana-5533	150	40	confirms	confirm	VERB
cana-5533	150	41	the	the	DET
cana-5533	150	42	theorem	theorem	NOUN
cana-5533	150	43	(	(	PUNCT
cana-5533	150	44	3	3	NUM
cana-5533	150	45	)	)	PUNCT
cana-5533	150	46	established	establish	VERB
cana-5533	150	47	by	by	ADP
cana-5533	150	48	smith	smith	PROPN
cana-5533	150	49	(	(	PUNCT
cana-5533	150	50	1973	1973	NUM
cana-5533	150	51	a	a	PRON
cana-5533	150	52	,	,	PUNCT
cana-5533	150	53	b	b	NOUN
cana-5533	150	54	)	)	PUNCT
cana-5533	150	55	.	.	PUNCT
cana-5533	151	1	communications	communication	NOUN
cana-5533	151	2	on	on	ADP
cana-5533	151	3	applied	apply	VERB
cana-5533	151	4	nonlinear	nonlinear	ADJ
cana-5533	151	5	analysis	analysis	NOUN
cana-5533	151	6	issn	issn	NOUN
cana-5533	151	7	:	:	PUNCT
cana-5533	151	8	1074	1074	NUM
cana-5533	151	9	-	-	PUNCT
cana-5533	151	10	133x	133x	NUM
cana-5533	151	11	vol	vol	VERB
cana-5533	151	12	32	32	NUM
cana-5533	151	13	no	no	NOUN
cana-5533	151	14	.	.	PUNCT
cana-5533	152	1	10s	10	NOUN
cana-5533	152	2	(	(	PUNCT
cana-5533	152	3	2025	2025	NUM
cana-5533	152	4	)	)	PUNCT
cana-5533	152	5	2556	2556	NUM
cana-5533	152	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-5533	152	7	table	table	NOUN
cana-5533	152	8	1	1	NUM
cana-5533	152	9	empirical	empirical	ADJ
cana-5533	152	10	confidence	confidence	NOUN
cana-5533	152	11	level	level	NOUN
cana-5533	152	12	for	for	ADP
cana-5533	152	13	𝝎=(0.01	𝝎=(0.01	ADJ
cana-5533	152	14	,	,	PUNCT
cana-5533	152	15	0.5	0.5	NUM
cana-5533	152	16	,	,	PUNCT
cana-5533	152	17	1.5	1.5	NUM
cana-5533	152	18	,	,	PUNCT
cana-5533	152	19	5	5	NUM
cana-5533	152	20	,	,	PUNCT
cana-5533	152	21	10	10	NUM
cana-5533	152	22	)	)	PUNCT
cana-5533	152	23	.	.	PUNCT
cana-5533	153	1	n	n	PROPN
cana-5533	153	2	𝜔=0.01	𝜔=0.01	NOUN
cana-5533	153	3	𝜔=0.5	𝜔=0.5	NOUN
cana-5533	153	4	𝜔=1.5	𝜔=1.5	NOUN
cana-5533	153	5	𝜔=5	𝜔=5	SYM
cana-5533	153	6	𝜔=10	𝜔=10	PUNCT
cana-5533	153	7	20	20	NUM
cana-5533	153	8	0.9615	0.9615	NUM
cana-5533	153	9	0.9498	0.9498	NUM
cana-5533	153	10	0.9525	0.9525	NUM
cana-5533	153	11	0.9509	0.9509	NUM
cana-5533	153	12	0.9541	0.9541	NUM
cana-5533	153	13	30	30	NUM
cana-5533	153	14	0.9535	0.9535	NUM
cana-5533	153	15	0.9501	0.9501	NUM
cana-5533	153	16	0.9512	0.9512	NUM
cana-5533	153	17	0.9517	0.9517	NUM
cana-5533	153	18	0.9558	0.9558	NUM
cana-5533	153	19	50	50	NUM
cana-5533	153	20	0.9508	0.9508	NUM
cana-5533	153	21	0.9584	0.9584	NUM
cana-5533	153	22	0.9533	0.9533	NUM
cana-5533	153	23	0.9596	0.9596	NUM
cana-5533	153	24	0.9406	0.9406	NUM
cana-5533	153	25	80	80	NUM
cana-5533	153	26	0.9596	0.9596	NUM
cana-5533	153	27	0.9522	0.9522	NUM
cana-5533	153	28	0.9580	0.9580	NUM
cana-5533	153	29	0.9489	0.9489	NUM
cana-5533	153	30	0.9541	0.9541	NUM
cana-5533	153	31	100	100	NUM
cana-5533	153	32	0.9521	0.9521	NUM
cana-5533	153	33	0.9557	0.9557	NUM
cana-5533	153	34	0.9511	0.9511	NUM
cana-5533	153	35	0.9602	0.9602	NUM
cana-5533	153	36	0.9524	0.9524	NUM
cana-5533	153	37	150	150	NUM
cana-5533	153	38	0.9408	0.9408	NUM
cana-5533	153	39	0.9509	0.9509	NUM
cana-5533	153	40	0.9522	0.9522	NUM
cana-5533	153	41	0.9432	0.9432	NUM
cana-5533	153	42	0.9525	0.9525	NUM
cana-5533	154	1	200	200	NUM
cana-5533	154	2	0.9517	0.9517	NUM
cana-5533	154	3	0.9523	0.9523	NUM
cana-5533	154	4	0.9602	0.9602	NUM
cana-5533	155	1	0.9577	0.9577	NUM
cana-5533	155	2	0.9578	0.9578	NUM
cana-5533	155	3	300	300	NUM
cana-5533	155	4	0.9608	0.9608	NUM
cana-5533	155	5	0.9532	0.9532	NUM
cana-5533	155	6	0.9589	0.9589	NUM
cana-5533	155	7	0.9552	0.9552	NUM
cana-5533	155	8	0.9516	0.9516	NUM
cana-5533	155	9	500	500	NUM
cana-5533	155	10	0.9602	0.9602	NUM
cana-5533	155	11	0.9511	0.9511	NUM
cana-5533	155	12	0.9507	0.9507	NUM
cana-5533	155	13	0.9502	0.9502	NUM
cana-5533	156	1	0.9518	0.9518	NUM
cana-5533	156	2	1000	1000	NUM
cana-5533	156	3	0.9589	0.9589	NUM
cana-5533	156	4	0.9589	0.9589	NUM
cana-5533	156	5	0.9571	0.9571	NUM
cana-5533	156	6	0.9578	0.9578	NUM
cana-5533	156	7	0.9519	0.9519	NUM
cana-5533	156	8	figure	figure	NOUN
cana-5533	156	9	2	2	NUM
cana-5533	156	10	.	.	PUNCT
cana-5533	157	1	histograms	histogram	NOUN
cana-5533	157	2	of	of	ADP
cana-5533	157	3	y2	y2	PROPN
cana-5533	157	4	n	n	PROPN
cana-5533	157	5	for	for	ADP
cana-5533	157	6	𝝎	𝝎	PRON
cana-5533	157	7	=	=	SYM
cana-5533	157	8	1.5	1.5	NUM
cana-5533	157	9	,	,	PUNCT
cana-5533	157	10	and	and	CCONJ
cana-5533	157	11	n	n	CCONJ
cana-5533	157	12	=	=	NUM
cana-5533	157	13	20	20	NUM
cana-5533	157	14	,	,	PUNCT
cana-5533	157	15	30	30	NUM
cana-5533	157	16	,	,	PUNCT
cana-5533	157	17	50	50	NUM
cana-5533	157	18	,	,	PUNCT
cana-5533	157	19	80	80	NUM
cana-5533	157	20	,	,	PUNCT
cana-5533	157	21	100	100	NUM
cana-5533	157	22	,	,	PUNCT
cana-5533	157	23	150	150	NUM
cana-5533	157	24	,	,	PUNCT
cana-5533	157	25	200	200	NUM
cana-5533	157	26	,	,	PUNCT
cana-5533	157	27	300	300	NUM
cana-5533	157	28	,	,	PUNCT
cana-5533	157	29	500	500	NUM
cana-5533	157	30	,	,	PUNCT
cana-5533	157	31	1000	1000	NUM
cana-5533	157	32	communications	communication	NOUN
cana-5533	157	33	on	on	ADP
cana-5533	157	34	applied	apply	VERB
cana-5533	157	35	nonlinear	nonlinear	ADJ
cana-5533	157	36	analysis	analysis	NOUN
cana-5533	157	37	issn	issn	NOUN
cana-5533	157	38	:	:	PUNCT
cana-5533	157	39	1074	1074	NUM
cana-5533	157	40	-	-	PUNCT
cana-5533	157	41	133x	133x	NUM
cana-5533	157	42	vol	vol	VERB
cana-5533	157	43	32	32	NUM
cana-5533	157	44	no	no	NOUN
cana-5533	157	45	.	.	PUNCT
cana-5533	158	1	10s	10	NOUN
cana-5533	158	2	(	(	PUNCT
cana-5533	158	3	2025	2025	NUM
cana-5533	158	4	)	)	PUNCT
cana-5533	158	5	2557	2557	NUM
cana-5533	158	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-5533	158	7	4	4	X
cana-5533	158	8	.	.	NOUN
cana-5533	158	9	fuzzy	fuzzy	ADJ
cana-5533	158	10	reliability	reliability	NOUN
cana-5533	158	11	in	in	ADP
cana-5533	158	12	this	this	DET
cana-5533	158	13	section	section	NOUN
cana-5533	158	14	,	,	PUNCT
cana-5533	158	15	we	we	PRON
cana-5533	158	16	give	give	VERB
cana-5533	158	17	a	a	DET
cana-5533	158	18	fuzzy	fuzzy	ADJ
cana-5533	158	19	reliability	reliability	NOUN
cana-5533	158	20	with	with	ADP
cana-5533	158	21	simulations	simulation	NOUN
cana-5533	158	22	for	for	ADP
cana-5533	158	23	three	three	NUM
cana-5533	158	24	new	new	ADJ
cana-5533	158	25	distributions	distribution	NOUN
cana-5533	158	26	such	such	ADJ
cana-5533	158	27	as	as	ADP
cana-5533	158	28	:	:	PUNCT
cana-5533	158	29	new	new	ADJ
cana-5533	158	30	compound	compound	NOUN
cana-5533	158	31	exponential	exponential	ADJ
cana-5533	158	32	-	-	PUNCT
cana-5533	158	33	lindley	lindley	NOUN
cana-5533	158	34	distribution	distribution	NOUN
cana-5533	158	35	(	(	PUNCT
cana-5533	158	36	belhamra	belhamra	NOUN
cana-5533	158	37	et	et	PROPN
cana-5533	158	38	al	al	PROPN
cana-5533	158	39	.	.	PROPN
cana-5533	159	1	(	(	PUNCT
cana-5533	159	2	2023	2023	NUM
cana-5533	159	3	)	)	PUNCT
cana-5533	159	4	compound	compound	NOUN
cana-5533	159	5	exponential	exponential	ADJ
cana-5533	159	6	new	new	ADJ
cana-5533	159	7	xlindley	xlindley	ADJ
cana-5533	159	8	distribution	distribution	NOUN
cana-5533	159	9	(	(	PUNCT
cana-5533	159	10	grabsia	grabsia	NOUN
cana-5533	159	11	and	and	CCONJ
cana-5533	159	12	grine	grine	PROPN
cana-5533	159	13	(	(	PUNCT
cana-5533	159	14	2025	2025	NUM
cana-5533	159	15	)	)	PUNCT
cana-5533	159	16	our	our	PRON
cana-5533	159	17	new	new	ADJ
cana-5533	159	18	model	model	NOUN
cana-5533	159	19	(	(	PUNCT
cana-5533	159	20	opm	opm	PROPN
cana-5533	159	21	)	)	PUNCT
cana-5533	159	22	let	let	VERB
cana-5533	159	23	x	x	PRON
cana-5533	159	24	be	be	AUX
cana-5533	159	25	a	a	DET
cana-5533	159	26	continuous	continuous	ADJ
cana-5533	159	27	random	random	ADJ
cana-5533	159	28	variable	variable	NOUN
cana-5533	159	29	that	that	PRON
cana-5533	159	30	represents	represent	VERB
cana-5533	159	31	a	a	DET
cana-5533	159	32	system	system	NOUN
cana-5533	159	33	's	's	PART
cana-5533	159	34	failure	failure	NOUN
cana-5533	159	35	time	time	NOUN
cana-5533	159	36	(	(	PUNCT
cana-5533	159	37	component	component	NOUN
cana-5533	159	38	)	)	PUNCT
cana-5533	159	39	.	.	PUNCT
cana-5533	160	1	the	the	DET
cana-5533	160	2	fuzzy	fuzzy	ADJ
cana-5533	160	3	dependability	dependability	NOUN
cana-5533	160	4	can	can	AUX
cana-5533	160	5	then	then	ADV
cana-5533	160	6	be	be	AUX
cana-5533	160	7	calculated	calculate	VERB
cana-5533	160	8	using	use	VERB
cana-5533	160	9	the	the	DET
cana-5533	160	10	fuzzy	fuzzy	ADJ
cana-5533	160	11	probability	probability	NOUN
cana-5533	160	12	in	in	ADP
cana-5533	160	13	formula	formula	NOUN
cana-5533	160	14	(	(	PUNCT
cana-5533	160	15	see	see	VERB
cana-5533	160	16	chen	chen	PROPN
cana-5533	160	17	et	et	PROPN
cana-5533	160	18	al	al	PROPN
cana-5533	160	19	.	.	PROPN
cana-5533	161	1	(	(	PUNCT
cana-5533	161	2	2001	2001	NUM
cana-5533	161	3	)	)	PUNCT
cana-5533	161	4	)	)	PUNCT
cana-5533	161	5	.	.	PUNCT
cana-5533	162	1	𝑅𝐹(𝑡	𝑅𝐹(𝑡	NOUN
cana-5533	162	2	)	)	PUNCT
cana-5533	163	1	=	=	PUNCT
cana-5533	163	2	𝑃(𝑇	𝑃(𝑇	X
cana-5533	163	3	>	>	SYM
cana-5533	163	4	𝑡	𝑡	PROPN
cana-5533	163	5	)	)	PUNCT
cana-5533	163	6	=	=	SYM
cana-5533	163	7	∫	∫	PROPN
cana-5533	164	1	𝜇(𝑥)𝑝𝑂𝑃𝑀	𝜇(𝑥)𝑝𝑂𝑃𝑀	X
cana-5533	164	2	∞	∞	NUM
cana-5533	164	3	𝑡	𝑡	PROPN
cana-5533	164	4	(	(	PUNCT
cana-5533	164	5	𝑥)𝑑𝑥	𝑥)𝑑𝑥	PROPN
cana-5533	164	6	,	,	PUNCT
cana-5533	164	7	0	0	NUM
cana-5533	164	8	≤	≤	NUM
cana-5533	164	9	𝑡	𝑡	VERB
cana-5533	164	10	≤	≤	NUM
cana-5533	165	1	𝑥	𝑥	ADP
cana-5533	165	2	<	<	X
cana-5533	165	3	∞	∞	PROPN
cana-5533	165	4	,	,	PUNCT
cana-5533	165	5	where	where	SCONJ
cana-5533	165	6	μ(x	μ(x	NOUN
cana-5533	165	7	)	)	PUNCT
cana-5533	165	8	is	be	AUX
cana-5533	165	9	a	a	DET
cana-5533	165	10	membership	membership	NOUN
cana-5533	165	11	function	function	NOUN
cana-5533	165	12	that	that	PRON
cana-5533	165	13	describes	describe	VERB
cana-5533	165	14	the	the	DET
cana-5533	165	15	degree	degree	NOUN
cana-5533	165	16	to	to	PART
cana-5533	165	17	which	which	PRON
cana-5533	165	18	each	each	DET
cana-5533	165	19	element	element	NOUN
cana-5533	165	20	of	of	ADP
cana-5533	165	21	a	a	DET
cana-5533	165	22	given	give	VERB
cana-5533	165	23	universe	universe	NOUN
cana-5533	165	24	belongs	belong	VERB
cana-5533	165	25	to	to	ADP
cana-5533	165	26	a	a	DET
cana-5533	165	27	fuzzy	fuzzy	ADJ
cana-5533	165	28	set	set	NOUN
cana-5533	165	29	.	.	PUNCT
cana-5533	166	1	now	now	ADV
cana-5533	166	2	,	,	PUNCT
cana-5533	166	3	assume	assume	VERB
cana-5533	166	4	that	that	SCONJ
cana-5533	166	5	μ(x	μ(x	NOUN
cana-5533	166	6	)	)	PUNCT
cana-5533	166	7	is	be	AUX
cana-5533	166	8	μ(x	μ(x	NOUN
cana-5533	166	9	)	)	PUNCT
cana-5533	167	1	=	=	PRON
cana-5533	167	2	{	{	PUNCT
cana-5533	167	3	0	0	NUM
cana-5533	167	4	,	,	PUNCT
cana-5533	167	5	x	x	PROPN
cana-5533	167	6	≤	≤	NUM
cana-5533	167	7	t₁	t₁	NOUN
cana-5533	167	8	(	(	PUNCT
cana-5533	167	9	x	x	NOUN
cana-5533	167	10	−	−	NOUN
cana-5533	167	11	t₁	t₁	NOUN
cana-5533	167	12	)	)	PUNCT
cana-5533	167	13	(	(	PUNCT
cana-5533	167	14	t₂	t₂	NOUN
cana-5533	167	15	−	−	PROPN
cana-5533	167	16	t₁	t₁	NOUN
cana-5533	167	17	)	)	PUNCT
cana-5533	167	18	,	,	PUNCT
cana-5533	167	19	0	0	NUM
cana-5533	167	20	≤	≤	NOUN
cana-5533	167	21	t₁	t₁	NOUN
cana-5533	167	22	<	<	X
cana-5533	167	23	𝑥	𝑥	X
cana-5533	167	24	<	<	X
cana-5533	167	25	𝑡	𝑡	X
cana-5533	167	26	1	1	NUM
cana-5533	167	27	,	,	PUNCT
cana-5533	167	28	x	x	X
cana-5533	167	29	≥	≥	X
cana-5533	167	30	t₂	t₂	NOUN
cana-5533	167	31	for	for	ADP
cana-5533	167	32	𝜇(𝑥	𝜇(𝑥	PROPN
cana-5533	167	33	)	)	PUNCT
cana-5533	167	34	,	,	PUNCT
cana-5533	167	35	by	by	ADP
cana-5533	167	36	the	the	DET
cana-5533	167	37	computational	computational	ADJ
cana-5533	167	38	analysis	analysis	NOUN
cana-5533	167	39	of	of	ADP
cana-5533	167	40	the	the	DET
cana-5533	167	41	function	function	NOUN
cana-5533	167	42	of	of	ADP
cana-5533	167	43	fuzzy	fuzzy	ADJ
cana-5533	167	44	numbers	number	NOUN
cana-5533	167	45	,	,	PUNCT
cana-5533	167	46	the	the	DET
cana-5533	167	47	lifetime	lifetime	NOUN
cana-5533	167	48	𝑥(𝛼	𝑥(𝛼	NOUN
cana-5533	167	49	)	)	PUNCT
cana-5533	167	50	can	can	AUX
cana-5533	167	51	be	be	AUX
cana-5533	167	52	obtained	obtain	VERB
cana-5533	167	53	corresponds	correspond	NOUN
cana-5533	167	54	to	to	ADP
cana-5533	167	55	a	a	DET
cana-5533	167	56	certain	certain	ADJ
cana-5533	167	57	value	value	NOUN
cana-5533	167	58	of	of	ADP
cana-5533	167	59	𝛼	𝛼	PRON
cana-5533	167	60	−	−	PROPN
cana-5533	167	61	𝐶𝑢𝑡	𝐶𝑢𝑡	PROPN
cana-5533	167	62	,	,	PUNCT
cana-5533	167	63	𝛼	𝛼	NOUN
cana-5533	167	64	∈	∈	NOUN
cana-5533	168	1	[	[	X
cana-5533	168	2	0,1	0,1	NUM
cana-5533	168	3	]	]	PUNCT
cana-5533	168	4	,	,	PUNCT
cana-5533	168	5	can	can	AUX
cana-5533	168	6	by	by	SCONJ
cana-5533	168	7	obtained	obtain	VERB
cana-5533	168	8	as	as	ADP
cana-5533	168	9	:	:	PUNCT
cana-5533	168	10	𝜇(𝑥	𝜇(𝑥	PROPN
cana-5533	168	11	)	)	PUNCT
cana-5533	168	12	=	=	SYM
cana-5533	168	13	𝛼	𝛼	X
cana-5533	168	14	→	→	SYM
cana-5533	168	15	𝑥−𝑡₁	𝑥−𝑡₁	X
cana-5533	168	16	𝑡₂−𝑡₁	𝑡₂−𝑡₁	NUM
cana-5533	168	17	=	=	SYM
cana-5533	168	18	𝛼	𝛼	NOUN
cana-5533	168	19	,	,	PUNCT
cana-5533	168	20	then	then	ADV
cana-5533	168	21	{	{	PUNCT
cana-5533	168	22	x(α	x(α	PROPN
cana-5533	168	23	)	)	PUNCT
cana-5533	168	24	≤	≤	NOUN
cana-5533	168	25	𝑡1	𝑡1	NOUN
cana-5533	168	26	,	,	PUNCT
cana-5533	168	27	α	α	NOUN
cana-5533	168	28	=	=	SYM
cana-5533	168	29	0	0	NUM
cana-5533	168	30	x(α	x(α	PROPN
cana-5533	168	31	)	)	PUNCT
cana-5533	169	1	=	=	PUNCT
cana-5533	169	2	𝑡1	𝑡1	PROPN
cana-5533	169	3	+	+	CCONJ
cana-5533	169	4	α(𝑡2	α(𝑡2	X
cana-5533	170	1	−	−	PROPN
cana-5533	170	2	𝑡1	𝑡1	NOUN
cana-5533	170	3	)	)	PUNCT
cana-5533	170	4	,	,	PUNCT
cana-5533	170	5	0	0	NUM
cana-5533	170	6	<	<	X
cana-5533	170	7	α	α	X
cana-5533	170	8	<	<	X
cana-5533	170	9	1	1	NUM
cana-5533	170	10	x(α	x(α	PROPN
cana-5533	170	11	)	)	PUNCT
cana-5533	170	12	≥	≥	NOUN
cana-5533	170	13	𝑡2	𝑡2	NOUN
cana-5533	170	14	,	,	PUNCT
cana-5533	170	15	α	α	NOUN
cana-5533	170	16	=	=	NOUN
cana-5533	170	17	1	1	NUM
cana-5533	170	18	as	as	ADP
cana-5533	170	19	a	a	DET
cana-5533	170	20	result	result	NOUN
cana-5533	170	21	,	,	PUNCT
cana-5533	170	22	the	the	DET
cana-5533	170	23	fuzzy	fuzzy	ADJ
cana-5533	170	24	reliability	reliability	NOUN
cana-5533	170	25	values	value	NOUN
cana-5533	170	26	may	may	AUX
cana-5533	170	27	be	be	AUX
cana-5533	170	28	determined	determine	VERB
cana-5533	170	29	for	for	ADP
cana-5533	170	30	all	all	DET
cana-5533	170	31	α	α	PRON
cana-5533	170	32	values	value	NOUN
cana-5533	170	33	.	.	PUNCT
cana-5533	171	1	the	the	DET
cana-5533	171	2	fuzzy	fuzzy	ADJ
cana-5533	171	3	dependability	dependability	NOUN
cana-5533	171	4	of	of	ADP
cana-5533	171	5	the	the	DET
cana-5533	171	6	opm	opm	PROPN
cana-5533	171	7	is	be	AUX
cana-5533	171	8	determined	determine	VERB
cana-5533	171	9	by	by	ADP
cana-5533	171	10	the	the	DET
cana-5533	171	11	fuzzy	fuzzy	ADJ
cana-5533	171	12	reliability	reliability	NOUN
cana-5533	171	13	definition	definition	NOUN
cana-5533	171	14	.	.	PUNCT
cana-5533	172	1	the	the	DET
cana-5533	172	2	fuzzy	fuzzy	ADJ
cana-5533	172	3	reliability	reliability	NOUN
cana-5533	172	4	of	of	ADP
cana-5533	172	5	the	the	DET
cana-5533	172	6	opm	opm	NOUN
cana-5533	172	7	can	can	AUX
cana-5533	172	8	be	be	AUX
cana-5533	172	9	define	define	VERB
cana-5533	172	10	as	as	ADP
cana-5533	172	11	,	,	PUNCT
cana-5533	172	12	𝑅𝐹(𝑡	𝑅𝐹(𝑡	NUM
cana-5533	172	13	)	)	PUNCT
cana-5533	173	1	=	=	PUNCT
cana-5533	173	2	(	(	PUNCT
cana-5533	173	3	1	1	NUM
cana-5533	173	4	+	+	CCONJ
cana-5533	173	5	(	(	PUNCT
cana-5533	173	6	2	2	NUM
cana-5533	173	7	3	3	NUM
cana-5533	173	8	)	)	PUNCT
cana-5533	174	1	𝜔𝑡₁)𝑒−𝜔𝑡₁	𝜔𝑡₁)𝑒−𝜔𝑡₁	NOUN
cana-5533	174	2	−	−	NOUN
cana-5533	174	3	(	(	PUNCT
cana-5533	174	4	1	1	NUM
cana-5533	174	5	+	+	CCONJ
cana-5533	174	6	(	(	PUNCT
cana-5533	174	7	2	2	NUM
cana-5533	174	8	3	3	NUM
cana-5533	174	9	)	)	PUNCT
cana-5533	174	10	𝜔x(α))𝑒−𝛼x(α	𝜔x(α))𝑒−𝛼x(α	NOUN
cana-5533	174	11	)	)	PUNCT
cana-5533	174	12	then	then	ADV
cana-5533	174	13	𝑅𝐹(𝑡)𝛼=0	𝑅𝐹(𝑡)𝛼=0	VERB
cana-5533	174	14	=	=	SYM
cana-5533	174	15	0	0	X
cana-5533	174	16	.	.	PUNCT
cana-5533	175	1	numerical	numerical	ADJ
cana-5533	175	2	values	value	NOUN
cana-5533	175	3	of	of	ADP
cana-5533	175	4	fuzzy	fuzzy	ADJ
cana-5533	175	5	reliability	reliability	NOUN
cana-5533	175	6	in	in	ADP
cana-5533	175	7	this	this	DET
cana-5533	175	8	subsection	subsection	NOUN
cana-5533	175	9	,	,	PUNCT
cana-5533	175	10	we	we	PRON
cana-5533	175	11	obtained	obtain	VERB
cana-5533	175	12	comparison	comparison	NOUN
cana-5533	175	13	between	between	ADP
cana-5533	175	14	traditional	traditional	ADJ
cana-5533	175	15	reliability	reliability	NOUN
cana-5533	175	16	(	(	PUNCT
cana-5533	175	17	see	see	VERB
cana-5533	175	18	finkelstein	finkelstein	PROPN
cana-5533	175	19	(	(	PUNCT
cana-5533	175	20	2008	2008	NUM
cana-5533	175	21	)	)	PUNCT
cana-5533	175	22	)	)	PUNCT
cana-5533	175	23	and	and	CCONJ
cana-5533	175	24	fuzzy	fuzzy	ADJ
cana-5533	175	25	reliability	reliability	NOUN
cana-5533	175	26	,	,	PUNCT
cana-5533	175	27	where	where	SCONJ
cana-5533	175	28	the	the	DET
cana-5533	175	29	traditional	traditional	ADJ
cana-5533	175	30	reliability	reliability	NOUN
cana-5533	175	31	is	be	AUX
cana-5533	175	32	a	a	DET
cana-5533	175	33	survival	survival	NOUN
cana-5533	175	34	function	function	NOUN
cana-5533	175	35	as	as	ADP
cana-5533	175	36	𝑅(𝑥	𝑅(𝑥	NOUN
cana-5533	175	37	)	)	PUNCT
cana-5533	175	38	=	=	SYM
cana-5533	176	1	(	(	PUNCT
cana-5533	176	2	1	1	NUM
cana-5533	176	3	+	+	CCONJ
cana-5533	176	4	(	(	PUNCT
cana-5533	176	5	2	2	NUM
cana-5533	176	6	3	3	NUM
cana-5533	176	7	)	)	PUNCT
cana-5533	176	8	𝜔𝑥)𝑒−𝜔𝑥	𝜔𝑥)𝑒−𝜔𝑥	SYM
cana-5533	176	9	table	table	NOUN
cana-5533	176	10	2	2	NUM
cana-5533	176	11	discussed	discuss	VERB
cana-5533	176	12	the	the	DET
cana-5533	176	13	comparison	comparison	NOUN
cana-5533	176	14	.	.	PUNCT
cana-5533	177	1	the	the	DET
cana-5533	177	2	following	follow	VERB
cana-5533	177	3	observations	observation	NOUN
cana-5533	177	4	are	be	AUX
cana-5533	177	5	based	base	VERB
cana-5533	177	6	on	on	ADP
cana-5533	177	7	findings	finding	NOUN
cana-5533	177	8	:	:	PUNCT
cana-5533	177	9	when	when	SCONJ
cana-5533	177	10	the	the	DET
cana-5533	177	11	𝛼	𝛼	PROPN
cana-5533	177	12	−	−	X
cana-5533	177	13	𝐶𝑢𝑡	𝐶𝑢𝑡	PROPN
cana-5533	177	14	is	be	AUX
cana-5533	177	15	increased	increase	VERB
cana-5533	177	16	,	,	PUNCT
cana-5533	177	17	the	the	DET
cana-5533	177	18	fuzzy	fuzzy	ADJ
cana-5533	177	19	reliability	reliability	NOUN
cana-5533	177	20	increases	increase	NOUN
cana-5533	177	21	.	.	PUNCT
cana-5533	178	1	when	when	SCONJ
cana-5533	178	2	the	the	DET
cana-5533	178	3	𝑡2	𝑡2	NOUN
cana-5533	178	4	of	of	ADP
cana-5533	178	5	interval	interval	NOUN
cana-5533	178	6	of	of	ADP
cana-5533	178	7	member	member	NOUN
cana-5533	178	8	ship	ship	NOUN
cana-5533	178	9	function	function	NOUN
cana-5533	178	10	is	be	AUX
cana-5533	178	11	increased	increase	VERB
cana-5533	178	12	the	the	DET
cana-5533	178	13	fuzzy	fuzzy	ADJ
cana-5533	178	14	reliability	reliability	NOUN
cana-5533	178	15	increases	increase	NOUN
cana-5533	178	16	.	.	PUNCT
cana-5533	179	1	when	when	SCONJ
cana-5533	179	2	the	the	DET
cana-5533	179	3	𝑡1	𝑡1	NOUN
cana-5533	179	4	is	be	AUX
cana-5533	179	5	decreased	decrease	VERB
cana-5533	179	6	the	the	DET
cana-5533	179	7	fuzzy	fuzzy	ADJ
cana-5533	179	8	reliability	reliability	NOUN
cana-5533	179	9	increases	increase	NOUN
cana-5533	179	10	,	,	PUNCT
cana-5533	179	11	and	and	CCONJ
cana-5533	179	12	vice	vice	ADV
cana-5533	179	13	versa	versa	ADV
cana-5533	179	14	.	.	PUNCT
cana-5533	180	1	communications	communication	NOUN
cana-5533	180	2	on	on	ADP
cana-5533	180	3	applied	apply	VERB
cana-5533	180	4	nonlinear	nonlinear	ADJ
cana-5533	180	5	analysis	analysis	NOUN
cana-5533	180	6	issn	issn	NOUN
cana-5533	180	7	:	:	PUNCT
cana-5533	180	8	1074	1074	NUM
cana-5533	180	9	-	-	PUNCT
cana-5533	180	10	133x	133x	NUM
cana-5533	180	11	vol	vol	VERB
cana-5533	180	12	32	32	NUM
cana-5533	180	13	no	no	NOUN
cana-5533	180	14	.	.	PUNCT
cana-5533	181	1	10s	10	NOUN
cana-5533	181	2	(	(	PUNCT
cana-5533	181	3	2025	2025	NUM
cana-5533	181	4	)	)	PUNCT
cana-5533	181	5	2558	2558	NUM
cana-5533	181	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-5533	182	1	the	the	DET
cana-5533	182	2	traditional	traditional	ADJ
cana-5533	182	3	reliability	reliability	NOUN
cana-5533	182	4	with	with	ADP
cana-5533	182	5	𝑡2	𝑡2	PROPN
cana-5533	182	6	is	be	AUX
cana-5533	182	7	lower	low	ADJ
cana-5533	182	8	than	than	ADP
cana-5533	182	9	the	the	DET
cana-5533	182	10	traditional	traditional	ADJ
cana-5533	182	11	reliability	reliability	NOUN
cana-5533	182	12	with	with	ADP
cana-5533	182	13	𝑡1	𝑡1	NOUN
cana-5533	182	14	.	.	PUNCT
cana-5533	183	1	the	the	DET
cana-5533	183	2	fuzzy	fuzzy	ADJ
cana-5533	183	3	estimation	estimation	NOUN
cana-5533	183	4	algorithm	algorithm	NOUN
cana-5533	183	5	produces	produce	VERB
cana-5533	183	6	a	a	DET
cana-5533	183	7	series	series	NOUN
cana-5533	183	8	of	of	ADP
cana-5533	183	9	draws	draw	NOUN
cana-5533	183	10	from	from	ADP
cana-5533	183	11	opm	opm	PROPN
cana-5533	183	12	as	as	ADP
cana-5533	183	13	in	in	ADP
cana-5533	183	14	algorithm	algorithm	NOUN
cana-5533	183	15	1	1	NUM
cana-5533	183	16	.	.	PUNCT
cana-5533	183	17	algorithm	algorithm	NOUN
cana-5533	183	18	1	1	NUM
cana-5533	183	19	:	:	PUNCT
cana-5533	183	20	fuzzy	fuzzy	ADJ
cana-5533	183	21	estimation	estimation	NOUN
cana-5533	183	22	algorithm	algorithm	NOUN
cana-5533	183	23	•	•	NOUN
cana-5533	183	24	input	input	NOUN
cana-5533	183	25	:	:	PUNCT
cana-5533	183	26	initial	initial	ADJ
cana-5533	183	27	values	value	NOUN
cana-5533	183	28	of	of	ADP
cana-5533	183	29	𝜔,interval	𝜔,interval	ADJ
cana-5533	183	30	time	time	NOUN
cana-5533	183	31	(	(	PUNCT
cana-5533	183	32	𝑡1	𝑡1	NOUN
cana-5533	183	33	,	,	PUNCT
cana-5533	183	34	𝑡2	𝑡2	PROPN
cana-5533	183	35	)	)	PUNCT
cana-5533	183	36	and	and	CCONJ
cana-5533	183	37	𝛼	𝛼	PRON
cana-5533	183	38	where	where	SCONJ
cana-5533	183	39	0	0	X
cana-5533	183	40	<	<	X
cana-5533	183	41	𝛼	𝛼	X
cana-5533	183	42	<	<	X
cana-5533	183	43	1	1	NUM
cana-5533	183	44	.	.	NOUN
cana-5533	183	45	•	•	NOUN
cana-5533	183	46	calculate	calculate	NOUN
cana-5533	183	47	:	:	PUNCT
cana-5533	183	48	𝑥	𝑥	X
cana-5533	183	49	(	(	PUNCT
cana-5533	183	50	𝛼	𝛼	NOUN
cana-5533	183	51	)	)	PUNCT
cana-5533	183	52	=	=	SYM
cana-5533	183	53	𝑡1	𝑡1	NOUN
cana-5533	183	54	+	+	CCONJ
cana-5533	183	55	𝛼(𝑡2	𝛼(𝑡2	ADJ
cana-5533	183	56	−	−	PROPN
cana-5533	183	57	𝑡1	𝑡1	NOUN
cana-5533	183	58	)	)	PUNCT
cana-5533	183	59	.	.	PUNCT
cana-5533	184	1	•	•	NOUN
cana-5533	184	2	for	for	ADP
cana-5533	184	3	each	each	DET
cana-5533	184	4	method	method	NOUN
cana-5533	184	5	do	do	AUX
cana-5533	184	6	set	set	VERB
cana-5533	184	7	:	:	PUNCT
cana-5533	184	8	i=1	i=1	PROPN
cana-5533	184	9	.	.	PUNCT
cana-5533	184	10	estimate	estimate	NOUN
cana-5533	184	11	parameter	parameter	NOUN
cana-5533	184	12	as	as	ADP
cana-5533	184	13	�	�	PROPN
cana-5533	184	14	̂	̂	X
cana-5533	184	15	�	�	PROPN
cana-5533	184	16	.	.	PROPN
cana-5533	184	17	calculate	calculate	PROPN
cana-5533	184	18	�	�	PROPN
cana-5533	184	19	̂	̂	VERB
cana-5533	184	20	�	�	NOUN
cana-5533	184	21	𝐹(𝑡	𝐹(𝑡	NUM
cana-5533	184	22	)	)	PUNCT
cana-5533	184	23	=	=	NOUN
cana-5533	184	24	(	(	PUNCT
cana-5533	184	25	1	1	NUM
cana-5533	184	26	+	+	CCONJ
cana-5533	184	27	(	(	PUNCT
cana-5533	184	28	2	2	NUM
cana-5533	184	29	3	3	NUM
cana-5533	184	30	)	)	PUNCT
cana-5533	184	31	𝜔𝑡₁)𝑒−𝜔𝑡₁	𝜔𝑡₁)𝑒−𝜔𝑡₁	NOUN
cana-5533	184	32	−	−	NOUN
cana-5533	184	33	(	(	PUNCT
cana-5533	184	34	1	1	NUM
cana-5533	184	35	+	+	CCONJ
cana-5533	184	36	(	(	PUNCT
cana-5533	184	37	2	2	NUM
cana-5533	184	38	3	3	NUM
cana-5533	184	39	)	)	PUNCT
cana-5533	184	40	𝜔𝑥	𝜔𝑥	VERB
cana-5533	184	41	(	(	PUNCT
cana-5533	184	42	𝛼))𝑒−𝜔𝑥	𝛼))𝑒−𝜔𝑥	NUM
cana-5533	184	43	(	(	PUNCT
cana-5533	184	44	𝛼	𝛼	NOUN
cana-5533	184	45	)	)	PUNCT
cana-5533	184	46	•	•	ADJ
cana-5533	184	47	end	end	NOUN
cana-5533	184	48	table2	table2	NOUN
cana-5533	184	49	:	:	PUNCT
cana-5533	184	50	traditional	traditional	ADJ
cana-5533	184	51	and	and	CCONJ
cana-5533	184	52	fuzzy	fuzzy	ADJ
cana-5533	184	53	reliability	reliability	NOUN
cana-5533	184	54	with	with	ADP
cana-5533	184	55	different	different	ADJ
cana-5533	184	56	values	value	NOUN
cana-5533	184	57	.	.	PUNCT
cana-5533	185	1	�	�	PROPN
cana-5533	185	2	̂	̂	VERB
cana-5533	185	3	�	�	NOUN
cana-5533	185	4	𝐹(𝑡	𝐹(𝑡	NUM
cana-5533	185	5	)	)	PUNCT
cana-5533	185	6	=	=	PUNCT
cana-5533	185	7	𝑅(𝑡1	𝑅(𝑡1	ADJ
cana-5533	185	8	)	)	PUNCT
cana-5533	185	9	−	−	PRON
cana-5533	185	10	𝑅(𝑥	𝑅(𝑥	NOUN
cana-5533	185	11	)	)	PUNCT
cana-5533	185	12	𝜔	𝜔	PRON
cana-5533	185	13	𝑡1	𝑡1	NOUN
cana-5533	185	14	𝑡2	𝑡2	NOUN
cana-5533	185	15	𝑅(𝑡1	𝑅(𝑡1	ADP
cana-5533	185	16	)	)	PUNCT
cana-5533	185	17	𝑅(𝑡2	𝑅(𝑡2	NOUN
cana-5533	185	18	)	)	PUNCT
cana-5533	185	19	0.15	0.15	NUM
cana-5533	185	20	0.55	0.55	NUM
cana-5533	185	21	0.75	0.75	NUM
cana-5533	185	22	0.95	0.95	NUM
cana-5533	185	23	0.1	0.1	NUM
cana-5533	185	24	0.02	0.02	NUM
cana-5533	185	25	1	1	NUM
cana-5533	185	26	0.99933	0.99933	NUM
cana-5533	185	27	0.96516	0.96516	NUM
cana-5533	185	28	4	4	NUM
cana-5533	185	29	.	.	PUNCT
cana-5533	186	1	945×10⁻³	945×10⁻³	NUM
cana-5533	186	2	1.8458×10	1.8458×10	NUM
cana-5533	186	3	⁻²	⁻²	ADP
cana-5533	186	4	2	2	NUM
cana-5533	186	5	.	.	PUNCT
cana-5533	187	1	5380×10⁻²	5380×10⁻²	NUM
cana-5533	187	2	3.2402×10	3.2402×10	NUM
cana-5533	187	3	⁻²	⁻²	ADP
cana-5533	187	4	0.2	0.2	NUM
cana-5533	187	5	5	5	NUM
cana-5533	187	6	0.04	0.04	NUM
cana-5533	187	7	1.5	1.5	NUM
cana-5533	187	8	0.99665	0.99665	NUM
cana-5533	187	9	0.85911	0.85911	NUM
cana-5533	187	10	1.8888×10	1.8888×10	NUM
cana-5533	187	11	⁻²	⁻²	NOUN
cana-5533	187	12	7.2872×10	7.2872×10	NUM
cana-5533	187	13	⁻²	⁻²	ADP
cana-5533	187	14	0.10126	0.10126	NUM
cana-5533	187	15	0.13023	0.13023	NUM
cana-5533	187	16	0.5	0.5	NUM
cana-5533	187	17	0.5	0.5	NUM
cana-5533	187	18	2	2	NUM
cana-5533	187	19	0.9086	0.9086	NUM
cana-5533	187	20	0.61313	0.61313	NUM
cana-5533	187	21	4.4482×10	4.4482×10	NOUN
cana-5533	188	1	⁻²	⁻²	ADP
cana-5533	188	2	0.16533	0.16533	NUM
cana-5533	188	3	0.22449	0.22449	NUM
cana-5533	188	4	0.28159	0.28159	NUM
cana-5533	188	5	0.8	0.8	NUM
cana-5533	188	6	8	8	NUM
cana-5533	188	7	0.6	0.6	NUM
cana-5533	188	8	4	4	NUM
cana-5533	188	9	0.79739	0.79739	NUM
cana-5533	188	10	9.9059×10⁻	9.9059×10⁻	NUM
cana-5533	188	11	²	²	NUM
cana-5533	188	12	0.17569	0.17569	NUM
cana-5533	188	13	0.51876	0.51876	NUM
cana-5533	188	14	0.61928	0.61928	NUM
cana-5533	188	15	0.68577	0.68577	NUM
cana-5533	188	16	0.9	0.9	NUM
cana-5533	188	17	5	5	NUM
cana-5533	188	18	0.1	0.1	NUM
cana-5533	188	19	3	3	NUM
cana-5533	188	20	1.7	1.7	NUM
cana-5533	188	21	5	5	NUM
cana-5533	188	22	0.95659	0.95659	NUM
cana-5533	188	23	0.39988	0.39988	NUM
cana-5533	188	24	8.9212×10	8.9212×10	NUM
cana-5533	188	25	⁻²	⁻²	ADP
cana-5533	188	26	0.33235	0.33235	NUM
cana-5533	188	27	0.44055	0.44055	NUM
cana-5533	188	28	0.53524	0.53524	NUM
cana-5533	188	29	1.5	1.5	NUM
cana-5533	188	30	0.4	0.4	NUM
cana-5533	188	31	2.5	2.5	NUM
cana-5533	188	32	0.76834	0.76834	NUM
cana-5533	189	1	0.082312	0.082312	NUM
cana-5533	189	2	0.18155	0.18155	NUM
cana-5533	189	3	0.52037	0.52037	NUM
cana-5533	189	4	0.61456	0.61456	NUM
cana-5533	189	5	0.67488	0.67488	NUM
cana-5533	189	6	2	2	NUM
cana-5533	189	7	0.3	0.3	NUM
cana-5533	189	8	3	3	NUM
cana-5533	189	9	0.76834	0.76834	NUM
cana-5533	189	10	1.2394×10⁻	1.2394×10⁻	NUM
cana-5533	189	11	²	²	NUM
cana-5533	189	12	0.29470	0.29470	NUM
cana-5533	189	13	0.67317	0.67317	NUM
cana-5533	189	14	0.72913	0.72913	NUM
cana-5533	189	15	0.75269	0.75269	NUM
cana-5533	189	16	2.5	2.5	NUM
cana-5533	189	17	0.1	0.1	NUM
cana-5533	189	18	2.75	2.75	NUM
cana-5533	189	19	0.9086	0.9086	NUM
cana-5533	189	20	5.7692×10⁻	5.7692×10⁻	NUM
cana-5533	189	21	³	³	NUM
cana-5533	189	22	0.38125	0.38125	NUM
cana-5533	189	23	0.83536	0.83536	NUM
cana-5533	189	24	0.88435	0.88435	NUM
cana-5533	189	25	0.90088	0.90088	NUM
cana-5533	189	26	2.7	2.7	NUM
cana-5533	189	27	5	5	NUM
cana-5533	189	28	0.2	0.2	NUM
cana-5533	189	29	1.2	1.2	NUM
cana-5533	189	30	5	5	NUM
cana-5533	189	31	0.78850	0.78850	NUM
cana-5533	189	32	0.10581	0.10581	NUM
cana-5533	189	33	0.16914	0.16914	NUM
cana-5533	189	34	0.5026	0.5026	NUM
cana-5533	189	35	0.60255	0.60255	NUM
cana-5533	189	36	0.66983	0.66983	NUM
cana-5533	189	37	communications	communication	NOUN
cana-5533	189	38	on	on	ADP
cana-5533	189	39	applied	apply	VERB
cana-5533	189	40	nonlinear	nonlinear	ADJ
cana-5533	189	41	analysis	analysis	NOUN
cana-5533	189	42	issn	issn	NOUN
cana-5533	189	43	:	:	PUNCT
cana-5533	189	44	1074	1074	NUM
cana-5533	189	45	-	-	PUNCT
cana-5533	189	46	133x	133x	NUM
cana-5533	189	47	vol	vol	VERB
cana-5533	189	48	32	32	NUM
cana-5533	189	49	no	no	NOUN
cana-5533	189	50	.	.	PUNCT
cana-5533	189	51	10s	10	NOUN
cana-5533	189	52	(	(	PUNCT
cana-5533	189	53	2025	2025	NUM
cana-5533	189	54	)	)	PUNCT
cana-5533	189	55	2559	2559	NUM
cana-5533	189	56	https://internationalpubls.com	https://internationalpubls.com	X
cana-5533	189	57	3	3	NUM
cana-5533	189	58	0.8	0.8	NUM
cana-5533	189	59	3.5	3.5	NUM
cana-5533	189	60	0.23587	0.23587	NUM
cana-5533	189	61	2.2029×10⁻	2.2029×10⁻	NUM
cana-5533	189	62	⁴	⁴	NUM
cana-5533	189	63	0.14408	0.14408	NUM
cana-5533	189	64	0.22999	0.22999	NUM
cana-5533	189	65	0.23448	0.23448	NUM
cana-5533	189	66	0.23555	0.23555	NUM
cana-5533	189	67	3.5	3.5	NUM
cana-5533	189	68	0.7	0.7	NUM
cana-5533	189	69	5	5	NUM
cana-5533	189	70	1.5	1.5	NUM
cana-5533	189	71	0.19921	0.19921	NUM
cana-5533	189	72	2.3614×10⁻	2.3614×10⁻	NUM
cana-5533	189	73	²	²	NUM
cana-5533	189	74	5.2012×10	5.2012×10	NUM
cana-5533	189	75	⁻²	⁻²	ADP
cana-5533	189	76	0.13573	0.13573	NUM
cana-5533	189	77	0.15812	0.15812	NUM
cana-5533	189	78	0.17281	0.17281	NUM
cana-5533	189	79	4	4	NUM
cana-5533	189	80	0.9	0.9	NUM
cana-5533	189	81	5	5	NUM
cana-5533	189	82	3.2	3.2	NUM
cana-5533	189	83	5	5	NUM
cana-5533	189	84	7.9043×10	7.9043×10	NOUN
cana-5533	189	85	⁻²	⁻²	ADP
cana-5533	189	86	2.1850×10⁻	2.1850×10⁻	NUM
cana-5533	189	87	⁵	⁵	NUM
cana-5533	189	88	0.05398	0.05398	NUM
cana-5533	189	89	7.8063×10	7.8063×10	NUM
cana-5533	189	90	⁻²	⁻²	ADP
cana-5533	189	91	0.07886	0.07886	NUM
cana-5533	189	92	7.9010×10	7.9010×10	NUM
cana-5533	189	93	⁻²	⁻²	ADV
cana-5533	189	94	5.2	5.2	NUM
cana-5533	189	95	5	5	NUM
cana-5533	189	96	0.6	0.6	NUM
cana-5533	189	97	6	6	NUM
cana-5533	189	98	4.7	4.7	NUM
cana-5533	189	99	5	5	NUM
cana-5533	189	100	0.10351	0.10351	NOUN
cana-5533	189	101	2.6056×10⁻	2.6056×10⁻	NUM
cana-5533	189	102	¹⁰	¹⁰	NUM
cana-5533	190	1	9.6701×10	9.6701×10	NUM
cana-5533	191	1	⁻²	⁻²	NOUN
cana-5533	191	2	0.10351	0.10351	NOUN
cana-5533	191	3	0.10351	0.10351	NOUN
cana-5533	191	4	0.10351	0.10351	NOUN
cana-5533	191	5	6	6	NUM
cana-5533	191	6	0.9	0.9	NUM
cana-5533	191	7	0.6	0.6	NUM
cana-5533	191	8	6	6	NUM
cana-5533	191	9	2.0776×10	2.0776×10	NUM
cana-5533	191	10	⁻²	⁻²	ADP
cana-5533	191	11	6	6	NUM
cana-5533	191	12	.	.	PUNCT
cana-5533	192	1	9390×10⁻²	9390×10⁻²	NUM
cana-5533	192	2	0.65051	0.65051	NUM
cana-5533	192	3	0.11803	0.11803	NUM
cana-5533	192	4	4	4	NUM
cana-5533	192	5	.	.	PUNCT
cana-5533	193	1	4436×10⁻²	4436×10⁻²	NUM
cana-5533	193	2	1.6061×10	1.6061×10	X
cana-5533	193	3	⁻²	⁻²	ADP
cana-5533	193	4	7.5	7.5	NUM
cana-5533	193	5	0.7	0.7	NUM
cana-5533	193	6	0.2	0.2	NUM
cana-5533	193	7	2.3614×10	2.3614×10	NUM
cana-5533	194	1	⁻²	⁻²	ADP
cana-5533	194	2	0.44626	0.44626	NUM
cana-5533	194	3	0.56814	0.56814	NUM
cana-5533	194	4	6.0613×10	6.0613×10	NUM
cana-5533	194	5	⁻²	⁻²	ADP
cana-5533	194	6	1	1	NUM
cana-5533	194	7	.	.	PUNCT
cana-5533	195	1	7131×10⁻²	7131×10⁻²	NUM
cana-5533	195	2	4.6272×10	4.6272×10	NUM
cana-5533	195	3	⁻³	⁻³	PROPN
cana-5533	195	4	8	8	NUM
cana-5533	195	5	0.0	0.0	NUM
cana-5533	195	6	7	7	NUM
cana-5533	195	7	1.6	1.6	NUM
cana-5533	195	8	0.78446	0.78446	NUM
cana-5533	195	9	2	2	NUM
cana-5533	195	10	.	.	PUNCT
cana-5533	196	1	6319×10⁻⁵	6319×10⁻⁵	NUM
cana-5533	196	2	0.54215	0.54215	NUM
cana-5533	196	3	4.8291×10	4.8291×10	NUM
cana-5533	196	4	⁻²	⁻²	ADP
cana-5533	196	5	1	1	NUM
cana-5533	196	6	.	.	PUNCT
cana-5533	197	1	2394×10⁻²	2394×10⁻²	NUM
cana-5533	197	2	3.0361×10	3.0361×10	NUM
cana-5533	197	3	⁻³	⁻³	ADP
cana-5533	197	4	8.5	8.5	NUM
cana-5533	197	5	0.3	0.3	NUM
cana-5533	197	6	4	4	NUM
cana-5533	197	7	7.5	7.5	NUM
cana-5533	197	8	0.16265	0.16265	NUM
cana-5533	197	9	8	8	NUM
cana-5533	197	10	.	.	PUNCT
cana-5533	198	1	944×10⁻³	944×10⁻³	PRON
cana-5533	198	2	0.51695	0.51695	NUM
cana-5533	198	3	0.03839	0.03839	NUM
cana-5533	198	4	8	8	NUM
cana-5533	198	5	.	.	PUNCT
cana-5533	199	1	944×10⁻³	944×10⁻³	NUM
cana-5533	199	2	1.9866×10	1.9866×10	NUM
cana-5533	199	3	⁻³	⁻³	NOUN
cana-5533	199	4	9.2	9.2	NUM
cana-5533	199	5	5	5	NUM
cana-5533	199	6	0.5	0.5	NUM
cana-5533	199	7	2	2	NUM
cana-5533	199	8	1.4	1.4	NUM
cana-5533	199	9	5	5	NUM
cana-5533	199	10	3.4275×10	3.4275×10	NUM
cana-5533	199	11	⁻²	⁻²	ADP
cana-5533	199	12	1	1	NUM
cana-5533	199	13	.	.	X
cana-5533	199	14	4876×10⁻⁵	4876×10⁻⁵	NUM
cana-5533	199	15	2.2915×10	2.2915×10	NUM
cana-5533	199	16	⁻²	⁻²	NOUN
cana-5533	199	17	3.3747×10	3.3747×10	NUM
cana-5533	200	1	⁻²	⁻²	NOUN
cana-5533	200	2	3.4166×10	3.4166×10	NUM
cana-5533	200	3	⁻²	⁻²	NOUN
cana-5533	200	4	3.4253×10	3.4253×10	NUM
cana-5533	200	5	⁻²	⁻²	ADP
cana-5533	200	6	fuzzy	fuzzy	ADJ
cana-5533	200	7	reliability	reliability	NOUN
cana-5533	200	8	of	of	ADP
cana-5533	200	9	a	a	DET
cana-5533	200	10	new	new	ADJ
cana-5533	200	11	compound	compound	NOUN
cana-5533	200	12	exponential	exponential	ADJ
cana-5533	200	13	-	-	PUNCT
cana-5533	200	14	lindley	lindley	NOUN
cana-5533	200	15	distribution	distribution	NOUN
cana-5533	200	16	�	�	NOUN
cana-5533	200	17	̂	̂	VERB
cana-5533	200	18	�	�	NOUN
cana-5533	200	19	𝐹(𝑡	𝐹(𝑡	NUM
cana-5533	200	20	)	)	PUNCT
cana-5533	200	21	=	=	PUNCT
cana-5533	201	1	(	(	PUNCT
cana-5533	201	2	𝛽	𝛽	NOUN
cana-5533	201	3	+	+	NOUN
cana-5533	201	4	𝑡1)2(1	𝑡1)2(1	NOUN
cana-5533	201	5	+	+	NOUN
cana-5533	201	6	𝛽	𝛽	NOUN
cana-5533	201	7	)	)	PUNCT
cana-5533	201	8	−	−	PROPN
cana-5533	201	9	𝑡1(1	𝑡1(1	ADJ
cana-5533	201	10	+	+	CCONJ
cana-5533	201	11	𝛽)(𝛽	𝛽)(𝛽	ADJ
cana-5533	201	12	+	+	CCONJ
cana-5533	201	13	𝑡1	𝑡1	NOUN
cana-5533	201	14	)	)	PUNCT
cana-5533	201	15	−	−	NOUN
cana-5533	202	1	𝛽𝑡1	𝛽𝑡1	ADJ
cana-5533	202	2	(	(	PUNCT
cana-5533	202	3	𝛽	𝛽	NOUN
cana-5533	202	4	+	+	NOUN
cana-5533	202	5	𝑡1)2(1	𝑡1)2(1	NOUN
cana-5533	202	6	+	+	NOUN
cana-5533	202	7	𝛽	𝛽	NOUN
cana-5533	202	8	)	)	PUNCT
cana-5533	202	9	−	−	PROPN
cana-5533	203	1	(	(	PUNCT
cana-5533	203	2	𝛽	𝛽	NOUN
cana-5533	203	3	+	+	ADP
cana-5533	203	4	𝑥(𝛾))2(1	𝑥(𝛾))2(1	PROPN
cana-5533	203	5	+	+	CCONJ
cana-5533	203	6	𝛽	𝛽	NOUN
cana-5533	203	7	)	)	PUNCT
cana-5533	204	1	−	−	PROPN
cana-5533	204	2	𝑥(𝛾)(1	𝑥(𝛾)(1	NOUN
cana-5533	204	3	+	+	CCONJ
cana-5533	204	4	𝛽)(𝛽	𝛽)(𝛽	ADJ
cana-5533	204	5	+	+	ADJ
cana-5533	204	6	𝑥(𝛾	𝑥(𝛾	NOUN
cana-5533	204	7	)	)	PUNCT
cana-5533	204	8	)	)	PUNCT
cana-5533	205	1	−	−	NOUN
cana-5533	205	2	𝛽𝑥(𝛾	𝛽𝑥(𝛾	X
cana-5533	205	3	)	)	PUNCT
cana-5533	205	4	(	(	PUNCT
cana-5533	205	5	𝛽	𝛽	NOUN
cana-5533	205	6	+	+	ADP
cana-5533	205	7	𝑥(𝛾))2(1	𝑥(𝛾))2(1	PROPN
cana-5533	205	8	+	+	CCONJ
cana-5533	205	9	𝛽	𝛽	NOUN
cana-5533	205	10	)	)	PUNCT
cana-5533	205	11	table	table	NOUN
cana-5533	205	12	3	3	NUM
cana-5533	205	13	:	:	PUNCT
cana-5533	205	14	traditional	traditional	ADJ
cana-5533	205	15	and	and	CCONJ
cana-5533	205	16	fuzzy	fuzzy	ADJ
cana-5533	205	17	reliability	reliability	NOUN
cana-5533	205	18	for	for	ADP
cana-5533	205	19	exponential	exponential	ADJ
cana-5533	205	20	-	-	PUNCT
cana-5533	205	21	lindley	lindley	NOUN
cana-5533	205	22	distribution	distribution	NOUN
cana-5533	205	23	with	with	ADP
cana-5533	205	24	different	different	ADJ
cana-5533	205	25	values	value	NOUN
cana-5533	205	26	.	.	PUNCT
cana-5533	206	1	�	�	PROPN
cana-5533	206	2	̂	̂	VERB
cana-5533	206	3	�	�	NOUN
cana-5533	206	4	𝐹(𝑡	𝐹(𝑡	NUM
cana-5533	206	5	)	)	PUNCT
cana-5533	206	6	=	=	PUNCT
cana-5533	206	7	𝑅(𝑡1	𝑅(𝑡1	ADJ
cana-5533	206	8	)	)	PUNCT
cana-5533	206	9	−	−	PRON
cana-5533	206	10	𝑅(𝑥	𝑅(𝑥	NOUN
cana-5533	206	11	)	)	PUNCT
cana-5533	206	12	𝛽	𝛽	NOUN
cana-5533	206	13	𝑡1	𝑡1	NOUN
cana-5533	206	14	𝑡2	𝑡2	NOUN
cana-5533	206	15	𝑅(𝑡1	𝑅(𝑡1	ADP
cana-5533	206	16	)	)	PUNCT
cana-5533	206	17	𝑅(𝑡2	𝑅(𝑡2	NOUN
cana-5533	206	18	)	)	PUNCT
cana-5533	206	19	0.15	0.15	NUM
cana-5533	206	20	0.55	0.55	NUM
cana-5533	206	21	0.75	0.75	NUM
cana-5533	206	22	0.95	0.95	NUM
cana-5533	206	23	0.1	0.1	NUM
cana-5533	206	24	0.02	0.02	NUM
cana-5533	206	25	1	1	NUM
cana-5533	206	26	0.70707	0.70707	NUM
cana-5533	206	27	1.5778×10⁻²	1.5778×10⁻²	NUM
cana-5533	206	28	0.5455	0.5455	NUM
cana-5533	206	29	0.67234	0.67234	NUM
cana-5533	206	30	0.684	0.684	NUM
cana-5533	206	31	0.69019	0.69019	NUM
cana-5533	206	32	0.25	0.25	NUM
cana-5533	206	33	0.04	0.04	NUM
cana-5533	206	34	1.5	1.5	NUM
cana-5533	206	35	0.76694	0.76694	NUM
cana-5533	206	36	4.4898×10⁻²	4.4898×10⁻²	NUM
cana-5533	206	37	0.47572	0.47572	NUM
cana-5533	206	38	0.67935	0.67935	NUM
cana-5533	206	39	0.70478	0.70478	NUM
cana-5533	206	40	0.71935	0.71935	NUM
cana-5533	206	41	0.5	0.5	NUM
cana-5533	206	42	0.5	0.5	NUM
cana-5533	206	43	2	2	NUM
cana-5533	206	44	0.33333	0.33333	NUM
cana-5533	206	45	9.3333×10⁻²	9.3333×10⁻²	NUM
cana-5533	206	46	0.086214	0.086214	NUM
cana-5533	206	47	0.19197	0.19197	NUM
cana-5533	206	48	0.21799	0.21799	NUM
cana-5533	206	49	0.23626	0.23626	NUM
cana-5533	206	50	0.88	0.88	NUM
cana-5533	206	51	0.6	0.6	NUM
cana-5533	206	52	4	4	NUM
cana-5533	206	53	0.46638	0.46638	NUM
cana-5533	206	54	0.10171	0.10171	NUM
cana-5533	206	55	0.15537	0.15537	NUM
cana-5533	206	56	0.30671	0.30671	NUM
cana-5533	206	57	0.3388	0.3388	NUM
cana-5533	206	58	0.36035	0.36035	NUM
cana-5533	206	59	communications	communication	NOUN
cana-5533	206	60	on	on	ADP
cana-5533	206	61	applied	apply	VERB
cana-5533	206	62	nonlinear	nonlinear	ADJ
cana-5533	206	63	analysis	analysis	NOUN
cana-5533	206	64	issn	issn	NOUN
cana-5533	206	65	:	:	PUNCT
cana-5533	206	66	1074	1074	NUM
cana-5533	206	67	-	-	PUNCT
cana-5533	206	68	133x	133x	NUM
cana-5533	206	69	vol	vol	VERB
cana-5533	206	70	32	32	NUM
cana-5533	206	71	no	no	NOUN
cana-5533	206	72	.	.	PUNCT
cana-5533	207	1	10s	10	NOUN
cana-5533	207	2	(	(	PUNCT
cana-5533	207	3	2025	2025	NUM
cana-5533	207	4	)	)	PUNCT
cana-5533	207	5	2560	2560	NUM
cana-5533	207	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-5533	207	7	0.95	0.95	NUM
cana-5533	207	8	0.13	0.13	NUM
cana-5533	207	9	1.75	1.75	NUM
cana-5533	207	10	0.82533	0.82533	NUM
cana-5533	207	11	0.2349	0.2349	NUM
cana-5533	208	1	0.21109	0.21109	NUM
cana-5533	208	2	0.47138	0.47138	NUM
cana-5533	208	3	0.53580	0.53580	NUM
cana-5533	208	4	0.58114	0.58114	NUM
cana-5533	208	5	1.5	1.5	NUM
cana-5533	208	6	0.4	0.4	NUM
cana-5533	208	7	2.5	2.5	NUM
cana-5533	208	8	0.72299	0.72299	NUM
cana-5533	209	1	0.28125	0.28125	NUM
cana-5533	209	2	0.13323	0.13323	NUM
cana-5533	209	3	0.33196	0.33196	NUM
cana-5533	209	4	0.38947	0.38947	NUM
cana-5533	209	5	0.4326	0.4326	NUM
cana-5533	209	6	2	2	NUM
cana-5533	209	7	0.3	0.3	NUM
cana-5533	209	8	3	3	NUM
cana-5533	209	9	0.83176	0.83176	NUM
cana-5533	209	10	0.32	0.32	NUM
cana-5533	209	11	0.15662	0.15662	NUM
cana-5533	209	12	0.38642	0.38642	NUM
cana-5533	210	1	0.45219	0.45219	NUM
cana-5533	210	2	0.50136	0.50136	NUM
cana-5533	210	3	2.5	2.5	NUM
cana-5533	210	4	0.1	0.1	NUM
cana-5533	210	5	2.75	2.75	NUM
cana-5533	210	6	0.95097	0.95097	NUM
cana-5533	210	7	0.40492	0.40492	NUM
cana-5533	210	8	0.15649	0.15649	NUM
cana-5533	210	9	0.4024	0.4024	NUM
cana-5533	210	10	0.47686	0.47686	NUM
cana-5533	210	11	0.53384	0.53384	NUM
cana-5533	210	12	2.75	2.75	NUM
cana-5533	210	13	0.2	0.2	NUM
cana-5533	210	14	1.25	1.25	NUM
cana-5533	210	15	0.91535	0.91535	NUM
cana-5533	210	16	0.63021	0.63021	NUM
cana-5533	210	17	0.057543	0.057543	NUM
cana-5533	210	18	0.18158	0.18158	NUM
cana-5533	210	19	0.23141	0.23141	NUM
cana-5533	210	20	0.27506	0.27506	NUM
cana-5533	210	21	3	3	NUM
cana-5533	210	22	0.8	0.8	NUM
cana-5533	210	23	3.5	3.5	NUM
cana-5533	210	24	0.74792	0.74792	NUM
cana-5533	210	25	0.39941	0.39941	NUM
cana-5533	210	26	0.085597	0.085597	NUM
cana-5533	210	27	0.24163	0.24163	NUM
cana-5533	210	28	0.29534	0.29534	NUM
cana-5533	210	29	0.33889	0.33889	NUM
cana-5533	210	30	3.5	3.5	NUM
cana-5533	210	31	0.75	0.75	NUM
cana-5533	210	32	1.5	1.5	NUM
cana-5533	210	33	0.79123	0.79123	NUM
cana-5533	210	34	0.65333	0.65333	NUM
cana-5533	210	35	0.0	0.0	NUM
cana-5533	210	36	24191	24191	NUM
cana-5533	210	37	0.0	0.0	NUM
cana-5533	210	38	82156	82156	NUM
cana-5533	210	39	0.10804	0.10804	NUM
cana-5533	210	40	0.13213	0.13213	NUM
cana-5533	210	41	4	4	NUM
cana-5533	210	42	0.95	0.95	NUM
cana-5533	210	43	3.25	3.25	NUM
cana-5533	210	44	0.77706	0.77706	NUM
cana-5533	210	45	0.50226	0.50226	NUM
cana-5533	211	1	5.8585×1	5.8585×1	NUM
cana-5533	211	2	0⁻²	0⁻²	NUM
cana-5533	211	3	0.17933	0.17933	NUM
cana-5533	211	4	0.22584	0.22584	NUM
cana-5533	211	5	0.26571	0.26571	NUM
cana-5533	211	6	5.25	5.25	NUM
cana-5533	211	7	0.66	0.66	NUM
cana-5533	211	8	4.75	4.75	NUM
cana-5533	211	9	0.87245	0.87245	NUM
cana-5533	211	10	0.4851	0.4851	NUM
cana-5533	211	11	9	9	NUM
cana-5533	211	12	.	.	NOUN
cana-5533	211	13	2807×10	2807×10	NUM
cana-5533	212	1	⁻²	⁻²	ADP
cana-5533	212	2	0.26574	0.26574	NUM
cana-5533	212	3	0.32651	0.32651	NUM
cana-5533	212	4	0.37628	0.37628	NUM
cana-5533	212	5	6	6	NUM
cana-5533	212	6	0.9	0.9	NUM
cana-5533	212	7	0.66	0.66	NUM
cana-5533	212	8	0.85336	0.85336	NUM
cana-5533	212	9	0.88815	0.88815	NUM
cana-5533	212	10	-5	-5	NOUN
cana-5533	212	11	.	.	PUNCT
cana-5533	212	12	0452×10	0452×10	PROPN
cana-5533	212	13	⁻³	⁻³	NOUN
cana-5533	212	14	1.8791×1	1.8791×1	NUM
cana-5533	212	15	0⁻²	0⁻²	NUM
cana-5533	212	16	-2	-2	NOUN
cana-5533	212	17	.	.	PUNCT
cana-5533	213	1	5829×10	5829×10	NUM
cana-5533	214	1	⁻²	⁻²	X
cana-5533	214	2	-3	-3	PUNCT
cana-5533	214	3	.	.	NOUN
cana-5533	214	4	2979×10	2979×10	NUM
cana-5533	215	1	⁻²	⁻²	X
cana-5533	215	2	7.5	7.5	NUM
cana-5533	215	3	0.7	0.7	NUM
cana-5533	215	4	0.2	0.2	NUM
cana-5533	215	5	0.90545	0.90545	NUM
cana-5533	215	6	0.97105	0.97105	NUM
cana-5533	215	7	0.009274	0.009274	NUM
cana-5533	215	8	-3	-3	NOUN
cana-5533	215	9	.	.	NOUN
cana-5533	215	10	4953×10	4953×10	NUM
cana-5533	216	1	⁻²	⁻²	NOUN
cana-5533	216	2	-4	-4	INTJ
cana-5533	216	3	.	.	NOUN
cana-5533	216	4	8335×10	8335×10	NUM
cana-5533	217	1	⁻²	⁻²	NOUN
cana-5533	218	1	-6	-6	INTJ
cana-5533	218	2	.	.	PUNCT
cana-5533	219	1	2099×10	2099×10	NUM
cana-5533	219	2	⁻²	⁻²	X
cana-5533	219	3	8	8	NUM
cana-5533	219	4	0.07	0.07	NUM
cana-5533	219	5	1.6	1.6	NUM
cana-5533	219	6	0.99037	0.99037	NUM
cana-5533	219	7	0.8179	0.8179	NUM
cana-5533	219	8	2.8396×1	2.8396×1	NUM
cana-5533	219	9	0⁻²	0⁻²	NUM
cana-5533	219	10	9	9	NUM
cana-5533	219	11	.	.	NUM
cana-5533	219	12	6785×10	6785×10	NUM
cana-5533	220	1	⁻²	⁻²	X
cana-5533	220	2	0.12749	0.12749	NUM
cana-5533	220	3	0.15616	0.15616	NUM
cana-5533	220	4	8.5	8.5	NUM
cana-5533	220	5	0.34	0.34	NUM
cana-5533	220	6	7.5	7.5	NUM
cana-5533	220	7	0.95765	0.95765	NUM
cana-5533	220	8	0.50504	0.50504	NUM
cana-5533	220	9	0.11314	0.11314	NUM
cana-5533	220	10	0.31588	0.31588	NUM
cana-5533	220	11	0.38478	0.38478	NUM
cana-5533	220	12	0.44035	0.44035	NUM
cana-5533	220	13	9.25	9.25	NUM
cana-5533	220	14	0.52	0.52	NUM
cana-5533	220	15	1.45	1.45	NUM
cana-5533	220	16	0.94186	0.94186	NUM
cana-5533	220	17	0.85306	0.85306	NUM
cana-5533	220	18	1.4473×1	1.4473×1	NUM
cana-5533	220	19	0⁻²	0⁻²	NUM
cana-5533	220	20	5	5	NUM
cana-5533	220	21	.	.	PUNCT
cana-5533	220	22	0991×10	0991×10	NOUN
cana-5533	221	1	⁻²	⁻²	ADJ
cana-5533	221	2	8	8	NUM
cana-5533	221	3	.	.	NOUN
cana-5533	222	1	4760×10	4760×10	NUM
cana-5533	222	2	⁻²	⁻²	X
cana-5533	222	3	6	6	NUM
cana-5533	222	4	.	.	NOUN
cana-5533	222	5	8200×10	8200×10	NUM
cana-5533	222	6	⁻²	⁻²	NOUN
cana-5533	222	7	fuzzy	fuzzy	ADJ
cana-5533	222	8	reliability	reliability	NOUN
cana-5533	222	9	of	of	ADP
cana-5533	222	10	a	a	DET
cana-5533	222	11	compound	compound	NOUN
cana-5533	222	12	exponential	exponential	ADJ
cana-5533	222	13	new	new	ADJ
cana-5533	222	14	xlindley	xlindley	PROPN
cana-5533	222	15	�	�	PROPN
cana-5533	222	16	̂	̂	VERB
cana-5533	222	17	�	�	NOUN
cana-5533	222	18	𝐹(𝑡	𝐹(𝑡	NUM
cana-5533	222	19	)	)	PUNCT
cana-5533	222	20	=	=	PUNCT
cana-5533	223	1	𝛽(2𝛽	𝛽(2𝛽	PROPN
cana-5533	223	2	+	+	CCONJ
cana-5533	223	3	𝑡1	𝑡1	NOUN
cana-5533	223	4	)	)	PUNCT
cana-5533	223	5	2(𝑡1	2(𝑡1	PROPN
cana-5533	224	1	+	+	NUM
cana-5533	224	2	𝛽)2	𝛽)2	PROPN
cana-5533	224	3	−	−	NUM
cana-5533	224	4	𝛽(2𝛽	𝛽(2𝛽	PROPN
cana-5533	224	5	+	+	NUM
cana-5533	224	6	𝑥(𝛾	𝑥(𝛾	PROPN
cana-5533	224	7	)	)	PUNCT
cana-5533	224	8	)	)	PUNCT
cana-5533	224	9	2(𝑥(𝛾	2(𝑥(𝛾	NUM
cana-5533	224	10	)	)	PUNCT
cana-5533	225	1	+	+	NUM
cana-5533	225	2	𝛽)2	𝛽)2	PROPN
cana-5533	225	3	communications	communication	NOUN
cana-5533	225	4	on	on	ADP
cana-5533	225	5	applied	apply	VERB
cana-5533	225	6	nonlinear	nonlinear	ADJ
cana-5533	225	7	analysis	analysis	NOUN
cana-5533	225	8	issn	issn	NOUN
cana-5533	225	9	:	:	PUNCT
cana-5533	225	10	1074	1074	NUM
cana-5533	225	11	-	-	PUNCT
cana-5533	225	12	133x	133x	NUM
cana-5533	225	13	vol	vol	VERB
cana-5533	225	14	32	32	NUM
cana-5533	225	15	no	no	NOUN
cana-5533	225	16	.	.	PUNCT
cana-5533	226	1	10s	10	NOUN
cana-5533	226	2	(	(	PUNCT
cana-5533	226	3	2025	2025	NUM
cana-5533	226	4	)	)	PUNCT
cana-5533	226	5	2561	2561	NUM
cana-5533	226	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-5533	226	7	table	table	NOUN
cana-5533	226	8	4	4	NUM
cana-5533	226	9	:	:	PUNCT
cana-5533	226	10	traditional	traditional	ADJ
cana-5533	226	11	and	and	CCONJ
cana-5533	226	12	fuzzy	fuzzy	ADJ
cana-5533	226	13	reliability	reliability	NOUN
cana-5533	226	14	of	of	ADP
cana-5533	226	15	exponential	exponential	ADJ
cana-5533	226	16	new	new	ADJ
cana-5533	226	17	xlindley	xlindley	NOUN
cana-5533	226	18	with	with	ADP
cana-5533	226	19	different	different	ADJ
cana-5533	226	20	values	value	NOUN
cana-5533	226	21	.	.	PUNCT
cana-5533	227	1	�	�	PROPN
cana-5533	227	2	̂	̂	VERB
cana-5533	227	3	�	�	NOUN
cana-5533	227	4	𝐹(𝑡	𝐹(𝑡	NUM
cana-5533	227	5	)	)	PUNCT
cana-5533	227	6	=	=	PUNCT
cana-5533	227	7	𝑅(𝑡1	𝑅(𝑡1	ADJ
cana-5533	227	8	)	)	PUNCT
cana-5533	227	9	−	−	PRON
cana-5533	227	10	𝑅(𝑥	𝑅(𝑥	NOUN
cana-5533	227	11	)	)	PUNCT
cana-5533	227	12	𝛽	𝛽	NOUN
cana-5533	227	13	𝑡1	𝑡1	NOUN
cana-5533	227	14	𝑡2	𝑡2	NOUN
cana-5533	227	15	𝑅(𝑡1	𝑅(𝑡1	ADP
cana-5533	227	16	)	)	PUNCT
cana-5533	227	17	𝑅(𝑡2	𝑅(𝑡2	NOUN
cana-5533	227	18	)	)	PUNCT
cana-5533	227	19	0.15	0.15	NUM
cana-5533	227	20	0.55	0.55	NUM
cana-5533	227	21	0.75	0.75	NUM
cana-5533	227	22	0.95	0.95	NUM
cana-5533	227	23	0.1	0.1	NUM
cana-5533	227	24	0.02	0.02	NUM
cana-5533	227	25	1	1	NUM
cana-5533	227	26	0.7638	0.7638	NUM
cana-5533	227	27	9	9	NUM
cana-5533	227	28	4.9587×10⁻	4.9587×10⁻	NUM
cana-5533	227	29	²	²	NUM
cana-5533	227	30	0.50649	0.50649	NUM
cana-5533	227	31	0.6765	0.6765	NUM
cana-5533	227	32	0.69857	0.69857	NUM
cana-5533	227	33	0.71179	0.71179	NUM
cana-5533	227	34	0.2	0.2	NUM
cana-5533	227	35	5	5	NUM
cana-5533	227	36	0.04	0.04	NUM
cana-5533	227	37	1.5	1.5	NUM
cana-5533	227	38	0.8026	0.8026	NUM
cana-5533	227	39	2	2	NUM
cana-5533	227	40	8.1633×10⁻	8.1633×10⁻	PROPN
cana-5533	227	41	²	²	NUM
cana-5533	227	42	0.43642	0.43642	NUM
cana-5533	227	43	0.66209	0.66209	NUM
cana-5533	227	44	0.69607	0.69607	NUM
cana-5533	227	45	0.71697	0.71697	NUM
cana-5533	227	46	0.5	0.5	NUM
cana-5533	227	47	0.5	0.5	NUM
cana-5533	227	48	2	2	NUM
cana-5533	227	49	0.375	0.375	NUM
cana-5533	227	50	0.12	0.12	NUM
cana-5533	227	51	8	8	NUM
cana-5533	227	52	.	.	PUNCT
cana-5533	228	1	7620×10⁻²	7620×10⁻²	NUM
cana-5533	228	2	0.20048	0.20048	NUM
cana-5533	228	3	0.22967	0.22967	NUM
cana-5533	228	4	0.25065	0.25065	NUM
cana-5533	228	5	0.8	0.8	NUM
cana-5533	228	6	8	8	NUM
cana-5533	228	7	0.6	0.6	NUM
cana-5533	228	8	4	4	NUM
cana-5533	228	9	0.4740	0.4740	NUM
cana-5533	228	10	7	7	NUM
cana-5533	228	11	0.10642	0.10642	NUM
cana-5533	228	12	0.15519	0.15519	NUM
cana-5533	228	13	0.30822	0.30822	NUM
cana-5533	228	14	0.34105	0.34105	NUM
cana-5533	228	15	0.36320	0.36320	NUM
cana-5533	228	16	0.9	0.9	NUM
cana-5533	228	17	5	5	NUM
cana-5533	228	18	0.13	0.13	NUM
cana-5533	228	19	1.75	1.75	NUM
cana-5533	228	20	0.8266	0.8266	NUM
cana-5533	228	21	9	9	NUM
cana-5533	228	22	0.23783	0.23783	NUM
cana-5533	228	23	0.20985	0.20985	NUM
cana-5533	228	24	0.46954	0.46954	NUM
cana-5533	228	25	0.53404	0.53404	NUM
cana-5533	228	26	0.57953	0.57953	NUM
cana-5533	228	27	1.5	1.5	NUM
cana-5533	228	28	0.4	0.4	NUM
cana-5533	228	29	2.5	2.5	NUM
cana-5533	228	30	0.7063	0.7063	NUM
cana-5533	228	31	7	7	NUM
cana-5533	228	32	0.25781	0.25781	NUM
cana-5533	228	33	0.13847	0.13847	NUM
cana-5533	228	34	0.34033	0.34033	NUM
cana-5533	228	35	0.39738	0.39738	NUM
cana-5533	228	36	0.43966	0.43966	NUM
cana-5533	228	37	2	2	NUM
cana-5533	228	38	0.3	0.3	NUM
cana-5533	228	39	3	3	NUM
cana-5533	228	40	0.8128	0.8128	NUM
cana-5533	228	41	5	5	NUM
cana-5533	228	42	0.28	0.28	NUM
cana-5533	228	43	0.16983	0.16983	NUM
cana-5533	228	44	0.40905	0.40905	NUM
cana-5533	228	45	0.47472	0.47472	NUM
cana-5533	228	46	0.5228	0.5228	NUM
cana-5533	228	47	2.5	2.5	NUM
cana-5533	228	48	0.1	0.1	NUM
cana-5533	228	49	2.75	2.75	NUM
cana-5533	228	50	0.9430	0.9430	NUM
cana-5533	228	51	5	5	NUM
cana-5533	228	52	0.35147	0.35147	NUM
cana-5533	228	53	0.17823	0.17823	NUM
cana-5533	228	54	0.44516	0.44516	NUM
cana-5533	229	1	0.52208	0.52208	NUM
cana-5533	229	2	0.57946	0.57946	NUM
cana-5533	229	3	2.7	2.7	NUM
cana-5533	229	4	5	5	NUM
cana-5533	229	5	0.2	0.2	NUM
cana-5533	229	6	1.25	1.25	NUM
cana-5533	229	7	0.9006	0.9006	NUM
cana-5533	229	8	0.58008	0.58008	NUM
cana-5533	229	9	6	6	NUM
cana-5533	229	10	.	.	PUNCT
cana-5533	229	11	6552×10⁻²	6552×10⁻²	NUM
cana-5533	229	12	0.20693	0.20693	NUM
cana-5533	229	13	0.26202	0.26202	NUM
cana-5533	229	14	0.30963	0.30963	NUM
cana-5533	229	15	3	3	NUM
cana-5533	229	16	0.8	0.8	NUM
cana-5533	229	17	3.5	3.5	NUM
cana-5533	229	18	0.7063	0.7063	NUM
cana-5533	229	19	7	7	NUM
cana-5533	229	20	0.33728	0.33728	NUM
cana-5533	229	21	9	9	NUM
cana-5533	229	22	.	.	PUNCT
cana-5533	230	1	5157×10⁻²	5157×10⁻²	NUM
cana-5533	230	2	0.26144	0.26144	NUM
cana-5533	230	3	0.31624	0.31624	NUM
cana-5533	230	4	0.35963	0.35963	NUM
cana-5533	230	5	3.5	3.5	NUM
cana-5533	230	6	0.75	0.75	NUM
cana-5533	230	7	1.5	1.5	NUM
cana-5533	230	8	0.7508	0.7508	NUM
cana-5533	230	9	7	7	NUM
cana-5533	230	10	0.595	0.595	NUM
cana-5533	230	11	2	2	NUM
cana-5533	230	12	.	.	PUNCT
cana-5533	231	1	7882×10⁻²	7882×10⁻²	NUM
cana-5533	231	2	9.3777×10⁻	9.3777×10⁻	NUM
cana-5533	231	3	²	²	NUM
cana-5533	231	4	0.12277	0.12277	NUM
cana-5533	231	5	0.1495	0.1495	NUM
cana-5533	231	6	4	4	NUM
cana-5533	231	7	0.95	0.95	NUM
cana-5533	231	8	3.25	3.25	NUM
cana-5533	231	9	0.7305	0.7305	NUM
cana-5533	231	10	4	4	NUM
cana-5533	231	11	0.42806	0.42806	NUM
cana-5533	231	12	6	6	NUM
cana-5533	231	13	.	.	PUNCT
cana-5533	232	1	7486×10⁻²	7486×10⁻²	NUM
cana-5533	232	2	0.20162	0.20162	NUM
cana-5533	232	3	0.25136	0.25136	NUM
cana-5533	232	4	0.29308	0.29308	NUM
cana-5533	232	5	5.2	5.2	NUM
cana-5533	232	6	5	5	NUM
cana-5533	232	7	0.66	0.66	NUM
cana-5533	232	8	4.75	4.75	NUM
cana-5533	232	9	0.8387	0.8387	NUM
cana-5533	232	10	2	2	NUM
cana-5533	232	11	0.40031	0.40031	NUM
cana-5533	232	12	0.11249	0.11249	NUM
cana-5533	232	13	0.31002	0.31002	NUM
cana-5533	232	14	0.37533	0.37533	NUM
cana-5533	232	15	0.42712	0.42712	NUM
cana-5533	232	16	6	6	NUM
cana-5533	232	17	0.9	0.9	NUM
cana-5533	232	18	0.66	0.66	NUM
cana-5533	232	19	0.8128	0.8128	NUM
cana-5533	232	20	5	5	NUM
cana-5533	232	21	0.85626	0.85626	NUM
cana-5533	232	22	-6	-6	NOUN
cana-5533	232	23	.	.	PUNCT
cana-5533	233	1	2565×10⁻³	2565×10⁻³	NUM
cana-5533	233	2	-2	-2	INTJ
cana-5533	233	3	.	.	PUNCT
cana-5533	234	1	3371×10⁻²	3371×10⁻²	NUM
cana-5533	234	2	-3	-3	PUNCT
cana-5533	234	3	.	.	PUNCT
cana-5533	235	1	2171×10⁻²	2171×10⁻²	NUM
cana-5533	235	2	-4	-4	X
cana-5533	235	3	.	.	PUNCT
cana-5533	236	1	1139×10⁻²	1139×10⁻²	PROPN
cana-5533	236	2	7.5	7.5	NUM
cana-5533	236	3	0.7	0.7	NUM
cana-5533	236	4	0.2	0.2	NUM
cana-5533	236	5	0.8755	0.8755	NUM
cana-5533	236	6	9	9	NUM
cana-5533	236	7	0.96138	0.96138	NUM
cana-5533	236	8	-1	-1	NOUN
cana-5533	236	9	.	.	PUNCT
cana-5533	237	1	1979×10⁻²	1979×10⁻²	NUM
cana-5533	237	2	-4	-4	NOUN
cana-5533	237	3	.	.	PUNCT
cana-5533	238	1	5401×10⁻²	5401×10⁻²	NUM
cana-5533	238	2	-6	-6	NOUN
cana-5533	238	3	.	.	PUNCT
cana-5533	239	1	2967×10⁻²	2967×10⁻²	NUM
cana-5533	239	2	-8	-8	X
cana-5533	239	3	.	.	PUNCT
cana-5533	240	1	1140×10⁻²	1140×10⁻²	NUM
cana-5533	240	2	communications	communication	NOUN
cana-5533	240	3	on	on	ADP
cana-5533	240	4	applied	apply	VERB
cana-5533	240	5	nonlinear	nonlinear	ADJ
cana-5533	240	6	analysis	analysis	NOUN
cana-5533	240	7	issn	issn	NOUN
cana-5533	240	8	:	:	PUNCT
cana-5533	240	9	1074	1074	NUM
cana-5533	240	10	-	-	PUNCT
cana-5533	240	11	133x	133x	NUM
cana-5533	240	12	vol	vol	VERB
cana-5533	240	13	32	32	NUM
cana-5533	240	14	no	no	NOUN
cana-5533	240	15	.	.	PUNCT
cana-5533	241	1	10s	10	NOUN
cana-5533	241	2	(	(	PUNCT
cana-5533	241	3	2025	2025	NUM
cana-5533	241	4	)	)	PUNCT
cana-5533	241	5	2562	2562	NUM
cana-5533	241	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-5533	241	7	8	8	NUM
cana-5533	241	8	0.07	0.07	NUM
cana-5533	241	9	1.6	1.6	NUM
cana-5533	241	10	0.9870	0.9870	NUM
cana-5533	241	11	3	3	NUM
cana-5533	241	12	0.76389	0.76389	NUM
cana-5533	241	13	3	3	NUM
cana-5533	241	14	.	.	PUNCT
cana-5533	242	1	7949×10⁻²	7949×10⁻²	NUM
cana-5533	242	2	0.12741	0.12741	NUM
cana-5533	242	3	0.16667	0.16667	NUM
cana-5533	242	4	0.20281	0.20281	NUM
cana-5533	242	5	8.5	8.5	NUM
cana-5533	242	6	0.34	0.34	NUM
cana-5533	242	7	7.5	7.5	NUM
cana-5533	242	8	0.9430	0.9430	NUM
cana-5533	242	9	5	5	NUM
cana-5533	242	10	0.88167	0.88167	NUM
cana-5533	242	11	0.14682	0.14682	NOUN
cana-5533	242	12	0.38920	0.38920	NUM
cana-5533	242	13	0.46506	0.46506	NUM
cana-5533	242	14	0.52370	0.52370	NUM
cana-5533	242	15	9.2	9.2	NUM
cana-5533	242	16	5	5	NUM
cana-5533	242	17	0.52	0.52	NUM
cana-5533	242	18	1.45	1.45	NUM
cana-5533	242	19	0.9215	0.9215	NUM
cana-5533	242	20	8	8	NUM
cana-5533	242	21	0.80591	0.80591	NUM
cana-5533	242	22	2.2915×10⁻	2.2915×10⁻	NUM
cana-5533	243	1	²	²	NUM
cana-5533	243	2	3.3747×10⁻	3.3747×10⁻	NUM
cana-5533	243	3	²	²	NUM
cana-5533	243	4	3.4166×10⁻	3.4166×10⁻	NUM
cana-5533	243	5	²	²	NUM
cana-5533	243	6	3.4253×10⁻	3.4253×10⁻	NUM
cana-5533	243	7	²	²	NUM
cana-5533	243	8	5	5	NUM
cana-5533	243	9	.	.	PUNCT
cana-5533	244	1	bayesian	bayesian	NOUN
cana-5533	244	2	estimation	estimation	NOUN
cana-5533	244	3	under	under	ADP
cana-5533	244	4	different	different	ADJ
cana-5533	244	5	loss	loss	NOUN
cana-5533	244	6	functions	function	NOUN
cana-5533	244	7	the	the	DET
cana-5533	244	8	loss	loss	NOUN
cana-5533	244	9	function	function	NOUN
cana-5533	244	10	is	be	AUX
cana-5533	244	11	one	one	NUM
cana-5533	244	12	of	of	ADP
cana-5533	244	13	the	the	DET
cana-5533	244	14	measures	measure	NOUN
cana-5533	244	15	of	of	ADP
cana-5533	244	16	accuracy	accuracy	NOUN
cana-5533	244	17	in	in	ADP
cana-5533	244	18	the	the	DET
cana-5533	244	19	bayesian	bayesian	NOUN
cana-5533	244	20	estimation	estimation	NOUN
cana-5533	244	21	process	process	NOUN
cana-5533	244	22	,	,	PUNCT
cana-5533	244	23	the	the	DET
cana-5533	244	24	loss	loss	NOUN
cana-5533	244	25	function	function	NOUN
cana-5533	244	26	is	be	AUX
cana-5533	244	27	defined	define	VERB
cana-5533	244	28	as	as	ADP
cana-5533	244	29	the	the	DET
cana-5533	244	30	amount	amount	NOUN
cana-5533	244	31	of	of	ADP
cana-5533	244	32	loss	loss	NOUN
cana-5533	244	33	resulting	result	VERB
cana-5533	244	34	under	under	ADP
cana-5533	244	35	bayes	bayes	PROPN
cana-5533	244	36	’s	’s	PART
cana-5533	244	37	decision	decision	NOUN
cana-5533	244	38	around	around	ADP
cana-5533	244	39	unknown	unknown	ADJ
cana-5533	244	40	parameters	parameter	NOUN
cana-5533	244	41	.	.	PUNCT
cana-5533	245	1	it	it	PRON
cana-5533	245	2	is	be	AUX
cana-5533	245	3	a	a	DET
cana-5533	245	4	measure	measure	NOUN
cana-5533	245	5	of	of	ADP
cana-5533	245	6	the	the	DET
cana-5533	245	7	difference	difference	NOUN
cana-5533	245	8	between	between	ADP
cana-5533	245	9	the	the	DET
cana-5533	245	10	estimated	estimate	VERB
cana-5533	245	11	value	value	NOUN
cana-5533	245	12	and	and	CCONJ
cana-5533	245	13	the	the	DET
cana-5533	245	14	real	real	ADJ
cana-5533	245	15	value	value	NOUN
cana-5533	245	16	of	of	ADP
cana-5533	245	17	this	this	DET
cana-5533	245	18	parameter	parameter	NOUN
cana-5533	245	19	(	(	PUNCT
cana-5533	245	20	�	�	PROPN
cana-5533	245	21	̂	̂	SYM
cana-5533	245	22	�	�	NOUN
cana-5533	245	23	−	−	NOUN
cana-5533	245	24	𝜔	𝜔	NOUN
cana-5533	245	25	)	)	PUNCT
cana-5533	245	26	,	,	PUNCT
cana-5533	245	27	it	it	PRON
cana-5533	245	28	should	should	AUX
cana-5533	245	29	have	have	VERB
cana-5533	245	30	a	a	DET
cana-5533	245	31	real	real	ADJ
cana-5533	245	32	non	non	ADJ
cana-5533	245	33	-	-	ADJ
cana-5533	245	34	negative	negative	ADJ
cana-5533	245	35	value	value	NOUN
cana-5533	245	36	and	and	CCONJ
cana-5533	245	37	it	it	PRON
cana-5533	245	38	is	be	AUX
cana-5533	245	39	usually	usually	ADV
cana-5533	245	40	symbolized	symbolize	VERB
cana-5533	245	41	by	by	ADP
cana-5533	245	42	l(	l(	PROPN
cana-5533	245	43	�	�	PROPN
cana-5533	245	44	̂	̂	SYM
cana-5533	245	45	�	�	NOUN
cana-5533	245	46	−	−	NOUN
cana-5533	245	47	𝜔	𝜔	NOUN
cana-5533	245	48	)	)	PUNCT
cana-5533	245	49	.	.	PUNCT
cana-5533	246	1	a.	a.	NOUN
cana-5533	246	2	prior	prior	ADV
cana-5533	246	3	and	and	CCONJ
cana-5533	246	4	posterior	posterior	ADJ
cana-5533	246	5	distributions	distribution	NOUN
cana-5533	246	6	.	.	PUNCT
cana-5533	247	1	in	in	ADP
cana-5533	247	2	the	the	DET
cana-5533	247	3	bayesian	bayesian	NOUN
cana-5533	247	4	approach	approach	NOUN
cana-5533	247	5	,	,	PUNCT
cana-5533	247	6	the	the	DET
cana-5533	247	7	unknown	unknown	ADJ
cana-5533	247	8	parameter	parameter	NOUN
cana-5533	247	9	is	be	AUX
cana-5533	247	10	considered	consider	VERB
cana-5533	247	11	as	as	ADP
cana-5533	247	12	random	random	ADJ
cana-5533	247	13	variable	variable	NOUN
cana-5533	247	14	(	(	PUNCT
cana-5533	247	15	r.v	r.v	PROPN
cana-5533	247	16	.	.	PROPN
cana-5533	247	17	)	)	PUNCT
cana-5533	247	18	instead	instead	ADV
cana-5533	247	19	of	of	ADP
cana-5533	247	20	fixed	fix	VERB
cana-5533	247	21	constants	constant	NOUN
cana-5533	247	22	.	.	PUNCT
cana-5533	248	1	from	from	ADP
cana-5533	248	2	this	this	DET
cana-5533	248	3	point	point	NOUN
cana-5533	248	4	,	,	PUNCT
cana-5533	248	5	the	the	DET
cana-5533	248	6	variation	variation	NOUN
cana-5533	248	7	in	in	ADP
cana-5533	248	8	the	the	DET
cana-5533	248	9	parameter	parameter	NOUN
cana-5533	248	10	can	can	AUX
cana-5533	248	11	be	be	AUX
cana-5533	248	12	incorporated	incorporate	VERB
cana-5533	248	13	by	by	ADP
cana-5533	248	14	assuming	assume	VERB
cana-5533	248	15	prior	prior	ADJ
cana-5533	248	16	distributions	distribution	NOUN
cana-5533	248	17	of	of	ADP
cana-5533	248	18	the	the	DET
cana-5533	248	19	unknown	unknown	ADJ
cana-5533	248	20	parameter	parameter	NOUN
cana-5533	248	21	.	.	PUNCT
cana-5533	249	1	as	as	ADP
cana-5533	249	2	a	a	DET
cana-5533	249	3	prior	prior	ADJ
cana-5533	249	4	distribution	distribution	NOUN
cana-5533	249	5	,	,	PUNCT
cana-5533	249	6	we	we	PRON
cana-5533	249	7	assume	assume	VERB
cana-5533	249	8	the	the	DET
cana-5533	249	9	parameter	parameter	NOUN
cana-5533	249	10	θ	θ	PROPN
cana-5533	249	11	follow	follow	VERB
cana-5533	249	12	the	the	DET
cana-5533	249	13	gamma	gamma	NOUN
cana-5533	249	14	distribution	distribution	NOUN
cana-5533	249	15	as	as	ADP
cana-5533	249	16	a	a	DET
cana-5533	249	17	prior	prior	NOUN
cana-5533	249	18	:	:	PUNCT
cana-5533	249	19	𝜋(𝜔	𝜋(𝜔	NOUN
cana-5533	249	20	)	)	PUNCT
cana-5533	249	21	=	=	SYM
cana-5533	249	22	𝑎𝑏𝜔𝑏−1	𝑎𝑏𝜔𝑏−1	NUM
cana-5533	249	23	𝛤(𝑏	𝛤(𝑏	ADJ
cana-5533	249	24	)	)	PUNCT
cana-5533	249	25	𝑒−𝑎𝜔	𝑒−𝑎𝜔	NOUN
cana-5533	249	26	,	,	PUNCT
cana-5533	249	27	𝜔	𝜔	X
cana-5533	249	28	>	>	X
cana-5533	249	29	0	0	NUM
cana-5533	249	30	,	,	PUNCT
cana-5533	249	31	𝑎	𝑎	NOUN
cana-5533	249	32	,	,	PUNCT
cana-5533	249	33	𝑏	𝑏	PROPN
cana-5533	249	34	>	>	X
cana-5533	249	35	0	0	NUM
cana-5533	250	1	the	the	DET
cana-5533	250	2	posterior	posterior	ADJ
cana-5533	250	3	density	density	NOUN
cana-5533	250	4	is	be	AUX
cana-5533	250	5	then	then	ADV
cana-5533	250	6	:	:	PUNCT
cana-5533	250	7	𝜋(𝜔|𝑋	𝜋(𝜔|𝑋	PROPN
cana-5533	250	8	)	)	PUNCT
cana-5533	251	1	=	=	PUNCT
cana-5533	251	2	𝜋(𝜔)𝐿(𝑥	𝜋(𝜔)𝐿(𝑥	NOUN
cana-5533	251	3	,	,	PUNCT
cana-5533	251	4	𝜔	𝜔	NOUN
cana-5533	251	5	)	)	PUNCT
cana-5533	251	6	∫	∫	PROPN
cana-5533	251	7	𝜋(𝜔)𝐿(𝑥	𝜋(𝜔)𝐿(𝑥	NOUN
cana-5533	251	8	,	,	PUNCT
cana-5533	251	9	𝜔)𝑑𝜔	𝜔)𝑑𝜔	PROPN
cana-5533	251	10	∞	∞	NOUN
cana-5533	251	11	0	0	PUNCT
cana-5533	252	1	so	so	ADV
cana-5533	252	2	𝜋(𝜔|𝑋	𝜋(𝜔|𝑋	PROPN
cana-5533	252	3	)	)	PUNCT
cana-5533	252	4	=	=	SYM
cana-5533	252	5	𝐾𝜔𝑛+𝑏−1	𝐾𝜔𝑛+𝑏−1	NUM
cana-5533	252	6	∏(2𝜔𝑥𝑖	∏(2𝜔𝑥𝑖	NOUN
cana-5533	252	7	+	+	CCONJ
cana-5533	252	8	1)𝑒−𝜔(𝑎+∑	1)𝑒−𝜔(𝑎+∑	NUM
cana-5533	252	9	𝑥𝑖	𝑥𝑖	ADP
cana-5533	252	10	𝑛	𝑛	PRON
cana-5533	252	11	𝑖=1	𝑖=1	PUNCT
cana-5533	252	12	)	)	PUNCT
cana-5533	253	1	𝑛	𝑛	PROPN
cana-5533	253	2	𝑖=1	𝑖=1	PROPN
cana-5533	253	3	where	where	SCONJ
cana-5533	253	4	k	k	PROPN
cana-5533	253	5	is	be	AUX
cana-5533	253	6	a	a	DET
cana-5533	253	7	normalizing	normalizing	ADJ
cana-5533	253	8	constant	constant	ADJ
cana-5533	253	9	.	.	PUNCT
cana-5533	254	1	b.	b.	PROPN
cana-5533	254	2	bayesian	bayesian	PROPN
cana-5533	254	3	estimation	estimation	NOUN
cana-5533	254	4	under	under	ADP
cana-5533	254	5	unbalanced	unbalanced	ADJ
cana-5533	254	6	different	different	ADJ
cana-5533	254	7	loss	loss	NOUN
cana-5533	254	8	functions	function	NOUN
cana-5533	254	9	and	and	CCONJ
cana-5533	254	10	their	their	PRON
cana-5533	254	11	posterior	posterior	ADJ
cana-5533	254	12	risks	risk	NOUN
cana-5533	254	13	.	.	PUNCT
cana-5533	255	1	loss	loss	NOUN
cana-5533	255	2	functions	function	NOUN
cana-5533	255	3	are	be	AUX
cana-5533	255	4	generally	generally	ADV
cana-5533	255	5	divided	divide	VERB
cana-5533	255	6	into	into	ADP
cana-5533	255	7	two	two	NUM
cana-5533	255	8	categories	category	NOUN
cana-5533	255	9	based	base	VERB
cana-5533	255	10	on	on	ADP
cana-5533	255	11	symmetry	symmetry	NOUN
cana-5533	255	12	criteria	criterion	NOUN
cana-5533	255	13	:	:	PUNCT
cana-5533	255	14	symmetric	symmetric	ADJ
cana-5533	255	15	loss	loss	NOUN
cana-5533	255	16	functions	function	NOUN
cana-5533	255	17	,	,	PUNCT
cana-5533	255	18	which	which	PRON
cana-5533	255	19	assume	assume	VERB
cana-5533	255	20	that	that	SCONJ
cana-5533	255	21	the	the	DET
cana-5533	255	22	amount	amount	NOUN
cana-5533	255	23	of	of	ADP
cana-5533	255	24	loss	loss	NOUN
cana-5533	255	25	incurred	incur	VERB
cana-5533	255	26	in	in	ADP
cana-5533	255	27	one	one	NUM
cana-5533	255	28	direction	direction	NOUN
cana-5533	255	29	is	be	AUX
cana-5533	255	30	equal	equal	ADJ
cana-5533	255	31	to	to	ADP
cana-5533	255	32	the	the	DET
cana-5533	255	33	amount	amount	NOUN
cana-5533	255	34	of	of	ADP
cana-5533	255	35	loss	loss	NOUN
cana-5533	255	36	incurred	incur	VERB
cana-5533	255	37	in	in	ADP
cana-5533	255	38	the	the	DET
cana-5533	255	39	other	other	ADJ
cana-5533	255	40	;	;	PUNCT
cana-5533	255	41	one	one	NUM
cana-5533	255	42	of	of	ADP
cana-5533	255	43	the	the	DET
cana-5533	255	44	most	most	ADV
cana-5533	255	45	popular	popular	ADJ
cana-5533	255	46	types	type	NOUN
cana-5533	255	47	of	of	ADP
cana-5533	255	48	symmetric	symmetric	ADJ
cana-5533	255	49	loss	loss	NOUN
cana-5533	255	50	functions	function	NOUN
cana-5533	255	51	is	be	AUX
cana-5533	255	52	the	the	DET
cana-5533	255	53	quadratic	quadratic	ADJ
cana-5533	255	54	loss	loss	NOUN
cana-5533	255	55	function	function	NOUN
cana-5533	255	56	.	.	PUNCT
cana-5533	256	1	the	the	DET
cana-5533	256	2	entropy	entropy	PROPN
cana-5533	256	3	loss	loss	NOUN
cana-5533	256	4	function	function	NOUN
cana-5533	256	5	is	be	AUX
cana-5533	256	6	one	one	NUM
cana-5533	256	7	of	of	ADP
cana-5533	256	8	the	the	DET
cana-5533	256	9	loss	loss	NOUN
cana-5533	256	10	functions	function	NOUN
cana-5533	256	11	in	in	ADP
cana-5533	256	12	the	the	DET
cana-5533	256	13	second	second	ADJ
cana-5533	256	14	category	category	NOUN
cana-5533	256	15	,	,	PUNCT
cana-5533	256	16	known	know	VERB
cana-5533	256	17	as	as	ADP
cana-5533	256	18	the	the	DET
cana-5533	256	19	asymmetric	asymmetric	ADJ
cana-5533	256	20	loss	loss	NOUN
cana-5533	256	21	function	function	NOUN
cana-5533	256	22	.	.	PUNCT
cana-5533	257	1	in	in	ADP
cana-5533	257	2	this	this	DET
cana-5533	257	3	type	type	NOUN
cana-5533	257	4	of	of	ADP
cana-5533	257	5	loss	loss	NOUN
cana-5533	257	6	function	function	NOUN
cana-5533	257	7	,	,	PUNCT
cana-5533	257	8	we	we	PRON
cana-5533	257	9	assume	assume	VERB
cana-5533	257	10	that	that	SCONJ
cana-5533	257	11	the	the	DET
cana-5533	257	12	amount	amount	NOUN
cana-5533	257	13	of	of	ADP
cana-5533	257	14	loss	loss	NOUN
cana-5533	257	15	in	in	ADP
cana-5533	257	16	both	both	CCONJ
cana-5533	257	17	the	the	DET
cana-5533	257	18	positive	positive	ADJ
cana-5533	257	19	and	and	CCONJ
cana-5533	257	20	negative	negative	ADJ
cana-5533	257	21	directions	direction	NOUN
cana-5533	257	22	under	under	ADP
cana-5533	257	23	the	the	DET
cana-5533	257	24	bayes	bayes	NOUN
cana-5533	257	25	decision	decision	NOUN
cana-5533	257	26	is	be	AUX
cana-5533	257	27	not	not	PART
cana-5533	257	28	required	require	VERB
cana-5533	257	29	to	to	PART
cana-5533	257	30	be	be	AUX
cana-5533	257	31	equal	equal	ADJ
cana-5533	257	32	.	.	PUNCT
cana-5533	258	1	communications	communication	NOUN
cana-5533	258	2	on	on	ADP
cana-5533	258	3	applied	apply	VERB
cana-5533	258	4	nonlinear	nonlinear	ADJ
cana-5533	258	5	analysis	analysis	NOUN
cana-5533	258	6	issn	issn	NOUN
cana-5533	258	7	:	:	PUNCT
cana-5533	258	8	1074	1074	NUM
cana-5533	258	9	-	-	PUNCT
cana-5533	258	10	133x	133x	NUM
cana-5533	258	11	vol	vol	VERB
cana-5533	258	12	32	32	NUM
cana-5533	258	13	no	no	NOUN
cana-5533	258	14	.	.	PUNCT
cana-5533	259	1	10s	10	NOUN
cana-5533	259	2	(	(	PUNCT
cana-5533	259	3	2025	2025	NUM
cana-5533	259	4	)	)	PUNCT
cana-5533	259	5	2563	2563	NUM
cana-5533	259	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-5533	260	1	we	we	PRON
cana-5533	260	2	will	will	AUX
cana-5533	260	3	now	now	ADV
cana-5533	260	4	locate	locate	VERB
cana-5533	260	5	bayes	bayes	NOUN
cana-5533	260	6	estimators	estimator	NOUN
cana-5533	260	7	under	under	ADP
cana-5533	260	8	unbalanced	unbalanced	ADJ
cana-5533	260	9	loss	loss	NOUN
cana-5533	260	10	functions	function	NOUN
cana-5533	260	11	in	in	ADP
cana-5533	260	12	the	the	DET
cana-5533	260	13	following	follow	VERB
cana-5533	260	14	sequential	sequential	ADJ
cana-5533	260	15	order	order	NOUN
cana-5533	260	16	:	:	PUNCT
cana-5533	261	1	1	1	X
cana-5533	261	2	.	.	X
cana-5533	261	3	the	the	DET
cana-5533	261	4	generalized	generalized	ADJ
cana-5533	261	5	quadratic	quadratic	ADJ
cana-5533	261	6	loss	loss	NOUN
cana-5533	261	7	function	function	VERB
cana-5533	261	8	the	the	DET
cana-5533	261	9	generalized	generalized	ADJ
cana-5533	261	10	quadratic	quadratic	ADJ
cana-5533	261	11	loss	loss	NOUN
cana-5533	261	12	function	function	NOUN
cana-5533	261	13	is	be	AUX
cana-5533	261	14	defined	define	VERB
cana-5533	261	15	as	as	ADP
cana-5533	261	16	l(	l(	PROPN
cana-5533	261	17	�	�	PROPN
cana-5533	261	18	̂	̂	VERB
cana-5533	261	19	�	�	PROPN
cana-5533	261	20	,	,	PUNCT
cana-5533	261	21	𝜔	𝜔	ADJ
cana-5533	261	22	)	)	PUNCT
cana-5533	261	23	=	=	PUNCT
cana-5533	261	24	𝜏(𝜔)(	𝜏(𝜔)(	PROPN
cana-5533	261	25	�	�	PROPN
cana-5533	261	26	̂	̂	SYM
cana-5533	261	27	�	�	NOUN
cana-5533	261	28	−	−	PROPN
cana-5533	261	29	𝜔)2	𝜔)2	NOUN
cana-5533	261	30	where	where	SCONJ
cana-5533	261	31	𝜏(𝜔	𝜏(𝜔	ADJ
cana-5533	261	32	)	)	PUNCT
cana-5533	261	33	=	=	SYM
cana-5533	262	1	𝜔𝑎−1	𝜔𝑎−1	PROPN
cana-5533	262	2	.	.	PUNCT
cana-5533	263	1	in	in	ADP
cana-5533	263	2	the	the	DET
cana-5533	263	3	case	case	NOUN
cana-5533	263	4	of	of	ADP
cana-5533	263	5	the	the	DET
cana-5533	263	6	generalized	generalized	ADJ
cana-5533	263	7	quadratic	quadratic	ADJ
cana-5533	263	8	loss	loss	NOUN
cana-5533	263	9	function	function	NOUN
cana-5533	263	10	,	,	PUNCT
cana-5533	263	11	the	the	DET
cana-5533	263	12	bayes	bayes	NOUN
cana-5533	263	13	estimators	estimator	NOUN
cana-5533	263	14	are	be	AUX
cana-5533	263	15	given	give	VERB
cana-5533	263	16	by	by	ADP
cana-5533	263	17	the	the	DET
cana-5533	263	18	formulas	formula	NOUN
cana-5533	263	19	:	:	PUNCT
cana-5533	263	20	�	�	PROPN
cana-5533	263	21	̂	̂	SYM
cana-5533	263	22	�	�	NOUN
cana-5533	263	23	𝐺𝑄	𝐺𝑄	NOUN
cana-5533	263	24	=	=	SYM
cana-5533	263	25	∫	∫	PROPN
cana-5533	263	26	𝜔𝑎+𝑛+𝑏−1	𝜔𝑎+𝑛+𝑏−1	PROPN
cana-5533	263	27	∏	∏	PROPN
cana-5533	263	28	(	(	PUNCT
cana-5533	263	29	2𝜔𝑥𝑖	2𝜔𝑥𝑖	PROPN
cana-5533	263	30	+	+	CCONJ
cana-5533	263	31	1)𝑒−𝜔(𝑎+∑	1)𝑒−𝜔(𝑎+∑	NUM
cana-5533	263	32	𝑥𝑖	𝑥𝑖	ADP
cana-5533	263	33	𝑛	𝑛	PRON
cana-5533	263	34	𝑖=1	𝑖=1	PUNCT
cana-5533	263	35	)	)	PUNCT
cana-5533	263	36	𝑛	𝑛	PRON
cana-5533	264	1	𝑖=1	𝑖=1	PUNCT
cana-5533	264	2	∞	∞	NOUN
cana-5533	264	3	0	0	NUM
cana-5533	264	4	𝑑𝜔	𝑑𝜔	NUM
cana-5533	264	5	∫	∫	PROPN
cana-5533	264	6	𝜔𝑎+𝑛+𝑏−2	𝜔𝑎+𝑛+𝑏−2	PROPN
cana-5533	264	7	∏	∏	PROPN
cana-5533	264	8	(	(	PUNCT
cana-5533	264	9	2𝜔𝑥𝑖	2𝜔𝑥𝑖	PROPN
cana-5533	264	10	+	+	CCONJ
cana-5533	264	11	1)𝑒−𝜔(𝑎+∑	1)𝑒−𝜔(𝑎+∑	NUM
cana-5533	264	12	𝑥𝑖	𝑥𝑖	ADP
cana-5533	264	13	𝑛	𝑛	PRON
cana-5533	264	14	𝑖=1	𝑖=1	PUNCT
cana-5533	264	15	)	)	PUNCT
cana-5533	264	16	𝑛	𝑛	PRON
cana-5533	265	1	𝑖=1	𝑖=1	PUNCT
cana-5533	265	2	∞	∞	NOUN
cana-5533	265	3	0	0	NUM
cana-5533	265	4	𝑑𝜔	𝑑𝜔	ADP
cana-5533	265	5	the	the	DET
cana-5533	265	6	corresponding	corresponding	ADJ
cana-5533	265	7	posterior	posterior	ADJ
cana-5533	265	8	risks	risk	NOUN
cana-5533	265	9	are	be	AUX
cana-5533	265	10	then	then	ADV
cana-5533	265	11	𝑃𝑅(	𝑃𝑅(	PROPN
cana-5533	265	12	�	�	PROPN
cana-5533	265	13	̂	̂	PROPN
cana-5533	265	14	�	�	NOUN
cana-5533	265	15	𝐺𝑄	𝐺𝑄	NOUN
cana-5533	265	16	)	)	PUNCT
cana-5533	265	17	=	=	SYM
cana-5533	265	18	𝔼𝜋(𝜔𝑎+1	𝔼𝜋(𝜔𝑎+1	PROPN
cana-5533	265	19	)	)	PUNCT
cana-5533	265	20	−	−	PROPN
cana-5533	265	21	2	2	NUM
cana-5533	265	22	�	�	PROPN
cana-5533	265	23	̂	̂	NOUN
cana-5533	265	24	�	�	NOUN
cana-5533	265	25	𝐺𝑄𝔼𝜋(𝜔𝑎	𝐺𝑄𝔼𝜋(𝜔𝑎	NOUN
cana-5533	265	26	)	)	PUNCT
cana-5533	265	27	+	+	CCONJ
cana-5533	265	28	�	�	PROPN
cana-5533	265	29	̂	̂	SYM
cana-5533	265	30	�	�	NOUN
cana-5533	265	31	𝐺𝑄	𝐺𝑄	ADJ
cana-5533	265	32	2	2	NUM
cana-5533	265	33	𝔼𝜋(𝜔𝑎−1	𝔼𝜋(𝜔𝑎−1	NOUN
cana-5533	265	34	)	)	PUNCT
cana-5533	265	35	2	2	NUM
cana-5533	265	36	.	.	PUNCT
cana-5533	266	1	the	the	DET
cana-5533	266	2	entropy	entropy	PROPN
cana-5533	266	3	loss	loss	NOUN
cana-5533	266	4	function	function	VERB
cana-5533	266	5	the	the	DET
cana-5533	266	6	entropy	entropy	NOUN
cana-5533	266	7	loss	loss	NOUN
cana-5533	266	8	function	function	NOUN
cana-5533	266	9	is	be	AUX
cana-5533	266	10	defined	define	VERB
cana-5533	266	11	as	as	ADP
cana-5533	266	12	l(	l(	PROPN
cana-5533	266	13	�	�	PROPN
cana-5533	266	14	̂	̂	VERB
cana-5533	266	15	�	�	PROPN
cana-5533	266	16	,	,	PUNCT
cana-5533	266	17	𝜔	𝜔	NOUN
cana-5533	266	18	)	)	PUNCT
cana-5533	266	19	=	=	SYM
cana-5533	266	20	(	(	PUNCT
cana-5533	266	21	�	�	PROPN
cana-5533	266	22	̂	̂	SYM
cana-5533	266	23	�	�	NOUN
cana-5533	266	24	𝜔	𝜔	PROPN
cana-5533	266	25	)	)	PUNCT
cana-5533	266	26	𝑝	𝑝	NOUN
cana-5533	266	27	−	−	PROPN
cana-5533	266	28	𝑝	𝑝	PROPN
cana-5533	266	29	ln	ln	NOUN
cana-5533	266	30	(	(	PUNCT
cana-5533	266	31	�	�	PROPN
cana-5533	266	32	̂	̂	SYM
cana-5533	266	33	�	�	NOUN
cana-5533	266	34	𝜔	𝜔	PROPN
cana-5533	266	35	)	)	PUNCT
cana-5533	266	36	−	−	PROPN
cana-5533	266	37	1	1	NUM
cana-5533	266	38	under	under	ADP
cana-5533	266	39	the	the	DET
cana-5533	266	40	entropy	entropy	NOUN
cana-5533	266	41	loss	loss	NOUN
cana-5533	266	42	function	function	NOUN
cana-5533	266	43	,	,	PUNCT
cana-5533	266	44	we	we	PRON
cana-5533	266	45	obtain	obtain	VERB
cana-5533	266	46	the	the	DET
cana-5533	266	47	following	follow	VERB
cana-5533	266	48	estimators	estimator	NOUN
cana-5533	266	49	:	:	PUNCT
cana-5533	266	50	�	�	NOUN
cana-5533	266	51	̂	̂	NOUN
cana-5533	266	52	�	�	NOUN
cana-5533	266	53	𝐸	𝐸	NOUN
cana-5533	266	54	=	=	PUNCT
cana-5533	267	1	[	[	X
cana-5533	267	2	𝐾	𝐾	PROPN
cana-5533	267	3	∫	∫	NOUN
cana-5533	267	4	𝜔	𝜔	X
cana-5533	267	5	∏(2𝜔𝑥𝑖	∏(2𝜔𝑥𝑖	NOUN
cana-5533	267	6	+	+	CCONJ
cana-5533	267	7	1)𝑒−𝜔(𝑎+∑	1)𝑒−𝜔(𝑎+∑	NUM
cana-5533	267	8	𝑥𝑖	𝑥𝑖	ADP
cana-5533	267	9	𝑛	𝑛	PRON
cana-5533	267	10	𝑖=1	𝑖=1	PUNCT
cana-5533	267	11	)	)	PUNCT
cana-5533	267	12	𝑑𝜔	𝑑𝜔	VERB
cana-5533	267	13	𝑛	𝑛	NOUN
cana-5533	267	14	𝑖=1	𝑖=1	PROPN
cana-5533	268	1	∞	∞	NOUN
cana-5533	268	2	0	0	NUM
cana-5533	268	3	]	]	PUNCT
cana-5533	268	4	the	the	DET
cana-5533	268	5	corresponding	corresponding	ADJ
cana-5533	268	6	posterior	posterior	ADJ
cana-5533	268	7	risks	risk	NOUN
cana-5533	268	8	are	be	AUX
cana-5533	268	9	then	then	ADV
cana-5533	268	10	𝑃𝑅(	𝑃𝑅(	PROPN
cana-5533	268	11	�	�	PROPN
cana-5533	268	12	̂	̂	PROPN
cana-5533	268	13	�	�	NOUN
cana-5533	268	14	𝐸	𝐸	PROPN
cana-5533	268	15	)	)	PUNCT
cana-5533	268	16	=	=	SYM
cana-5533	269	1	𝑝𝔼𝜋[ln(𝜔	𝑝𝔼𝜋[ln(𝜔	PROPN
cana-5533	269	2	)	)	PUNCT
cana-5533	270	1	−	−	PROPN
cana-5533	270	2	ln(	ln(	PROPN
cana-5533	270	3	�	�	PROPN
cana-5533	270	4	̂	̂	PROPN
cana-5533	270	5	�	�	NOUN
cana-5533	270	6	𝐸	𝐸	PROPN
cana-5533	270	7	)	)	PUNCT
cana-5533	270	8	]	]	PUNCT
cana-5533	270	9	c.	c.	PROPN
cana-5533	270	10	bayesian	bayesian	PROPN
cana-5533	270	11	estimation	estimation	NOUN
cana-5533	270	12	under	under	ADP
cana-5533	270	13	balanced	balanced	ADJ
cana-5533	270	14	different	different	ADJ
cana-5533	270	15	loss	loss	NOUN
cana-5533	270	16	functions	function	NOUN
cana-5533	270	17	and	and	CCONJ
cana-5533	270	18	their	their	PRON
cana-5533	270	19	posterior	posterior	ADJ
cana-5533	270	20	risks	risk	NOUN
cana-5533	270	21	.	.	PUNCT
cana-5533	271	1	the	the	DET
cana-5533	271	2	symmetry	symmetry	NOUN
cana-5533	271	3	criterion	criterion	NOUN
cana-5533	271	4	previously	previously	ADV
cana-5533	271	5	discussed	discuss	VERB
cana-5533	271	6	is	be	AUX
cana-5533	271	7	not	not	PART
cana-5533	271	8	the	the	DET
cana-5533	271	9	only	only	ADJ
cana-5533	271	10	standard	standard	NOUN
cana-5533	271	11	used	use	VERB
cana-5533	271	12	to	to	PART
cana-5533	271	13	classify	classify	VERB
cana-5533	271	14	loss	loss	NOUN
cana-5533	271	15	functions	function	NOUN
cana-5533	271	16	;	;	PUNCT
cana-5533	271	17	zellner	zellner	NOUN
cana-5533	271	18	(	(	PUNCT
cana-5533	271	19	1994	1994	NUM
cana-5533	271	20	)	)	PUNCT
cana-5533	271	21	proposed	propose	VERB
cana-5533	271	22	a	a	DET
cana-5533	271	23	more	more	ADV
cana-5533	271	24	thorough	thorough	ADJ
cana-5533	271	25	standard	standard	NOUN
cana-5533	271	26	known	know	VERB
cana-5533	271	27	as	as	ADP
cana-5533	271	28	the	the	DET
cana-5533	271	29	balanced	balanced	ADJ
cana-5533	271	30	criterion	criterion	NOUN
cana-5533	271	31	,	,	PUNCT
cana-5533	271	32	also	also	ADV
cana-5533	271	33	known	know	VERB
cana-5533	271	34	as	as	ADP
cana-5533	271	35	the	the	DET
cana-5533	271	36	equilibrium	equilibrium	NOUN
cana-5533	271	37	criterion	criterion	NOUN
cana-5533	271	38	.	.	PUNCT
cana-5533	272	1	increasing	increase	VERB
cana-5533	272	2	accuracy	accuracy	NOUN
cana-5533	272	3	and	and	CCONJ
cana-5533	272	4	conformance	conformance	NOUN
cana-5533	272	5	in	in	ADP
cana-5533	272	6	the	the	DET
cana-5533	272	7	estimation	estimation	NOUN
cana-5533	272	8	process	process	NOUN
cana-5533	272	9	is	be	AUX
cana-5533	272	10	the	the	DET
cana-5533	272	11	goal	goal	NOUN
cana-5533	272	12	of	of	ADP
cana-5533	272	13	reaching	reach	VERB
cana-5533	272	14	equilibrium	equilibrium	NOUN
cana-5533	272	15	in	in	ADP
cana-5533	272	16	the	the	DET
cana-5533	272	17	loss	loss	NOUN
cana-5533	272	18	function	function	NOUN
cana-5533	272	19	.	.	PUNCT
cana-5533	273	1	an	an	DET
cana-5533	273	2	unbalanced	unbalanced	ADJ
cana-5533	273	3	loss	loss	NOUN
cana-5533	273	4	function	function	NOUN
cana-5533	273	5	is	be	AUX
cana-5533	273	6	one	one	NUM
cana-5533	273	7	of	of	ADP
cana-5533	273	8	the	the	DET
cana-5533	273	9	loss	loss	NOUN
cana-5533	273	10	functions	function	NOUN
cana-5533	273	11	covered	cover	VERB
cana-5533	273	12	above	above	ADV
cana-5533	273	13	.	.	PUNCT
cana-5533	274	1	in	in	ADP
cana-5533	274	2	accordance	accordance	NOUN
cana-5533	274	3	with	with	ADP
cana-5533	274	4	zellner	zellner	NOUN
cana-5533	274	5	's	's	PART
cana-5533	274	6	formula	formula	NOUN
cana-5533	274	7	,	,	PUNCT
cana-5533	274	8	the	the	DET
cana-5533	274	9	loss	loss	NOUN
cana-5533	274	10	function	function	NOUN
cana-5533	274	11	can	can	AUX
cana-5533	274	12	be	be	AUX
cana-5533	274	13	balanced	balance	VERB
cana-5533	274	14	in	in	ADP
cana-5533	274	15	addition	addition	NOUN
cana-5533	274	16	to	to	ADP
cana-5533	274	17	meeting	meet	VERB
cana-5533	274	18	the	the	DET
cana-5533	274	19	symmetry	symmetry	NOUN
cana-5533	274	20	criterion	criterion	NOUN
cana-5533	274	21	as	as	SCONJ
cana-5533	274	22	follows	follow	VERB
cana-5533	274	23	:	:	PUNCT
cana-5533	274	24	𝐿𝜑,𝑐,𝜔0	𝐿𝜑,𝑐,𝜔0	PROPN
cana-5533	274	25	(	(	PUNCT
cana-5533	274	26	�	�	PROPN
cana-5533	274	27	̂	̂	SYM
cana-5533	274	28	�	�	PROPN
cana-5533	274	29	,	,	PUNCT
cana-5533	274	30	𝜔	𝜔	NOUN
cana-5533	274	31	)	)	PUNCT
cana-5533	274	32	=	=	SYM
cana-5533	274	33	𝑐𝜑	𝑐𝜑	ADP
cana-5533	274	34	(	(	PUNCT
cana-5533	274	35	�	�	PROPN
cana-5533	274	36	̂	̂	SYM
cana-5533	274	37	�	�	PROPN
cana-5533	274	38	,	,	PUNCT
cana-5533	274	39	𝜔0	𝜔0	NOUN
cana-5533	274	40	)	)	PUNCT
cana-5533	274	41	+	+	CCONJ
cana-5533	274	42	(	(	PUNCT
cana-5533	274	43	1	1	NUM
cana-5533	274	44	−	−	PROPN
cana-5533	274	45	𝑐)𝜑(	𝑐)𝜑(	X
cana-5533	274	46	�	�	PROPN
cana-5533	274	47	̂	̂	NOUN
cana-5533	274	48	�	�	PROPN
cana-5533	274	49	,	,	PUNCT
cana-5533	274	50	𝜔	𝜔	NOUN
cana-5533	274	51	)	)	PUNCT
cana-5533	274	52	where	where	SCONJ
cana-5533	274	53	𝐿𝜑,𝑐,𝜔0	𝐿𝜑,𝑐,𝜔0	PROPN
cana-5533	274	54	:	:	PUNCT
cana-5533	274	55	balanced	balanced	ADJ
cana-5533	274	56	loss	loss	NOUN
cana-5533	274	57	function	function	NOUN
cana-5533	274	58	.	.	PUNCT
cana-5533	275	1	𝜑(	𝜑(	NOUN
cana-5533	275	2	�	�	SYM
cana-5533	275	3	̂	̂	VERB
cana-5533	275	4	�	�	PROPN
cana-5533	275	5	,	,	PUNCT
cana-5533	275	6	𝜔	𝜔	PRON
cana-5533	275	7	):	):	PUNCT
cana-5533	275	8	unbalanced	unbalanced	ADJ
cana-5533	275	9	loss	loss	NOUN
cana-5533	275	10	function	function	NOUN
cana-5533	275	11	.	.	PUNCT
cana-5533	276	1	𝜔	𝜔	DET
cana-5533	276	2	0	0	NUM
cana-5533	276	3	:	:	PUNCT
cana-5533	276	4	primary	primary	ADJ
cana-5533	276	5	estimator	estimator	NOUN
cana-5533	276	6	for	for	ADP
cana-5533	276	7	the	the	DET
cana-5533	276	8	parameter	parameter	NOUN
cana-5533	276	9	𝜔	𝜔	NOUN
cana-5533	276	10	depends	depend	VERB
cana-5533	276	11	on	on	ADP
cana-5533	276	12	the	the	DET
cana-5533	276	13	observations	observation	NOUN
cana-5533	276	14	.	.	PUNCT
cana-5533	277	1	ω	ω	NUM
cana-5533	277	2	weighted	weight	VERB
cana-5533	277	3	coefficient	coefficient	NOUN
cana-5533	277	4	,	,	PUNCT
cana-5533	277	5	c	c	PROPN
cana-5533	277	6	∈	∈	PROPN
cana-5533	277	7	(	(	PUNCT
cana-5533	277	8	0	0	NUM
cana-5533	277	9	,	,	PUNCT
cana-5533	277	10	1	1	NUM
cana-5533	277	11	)	)	PUNCT
cana-5533	277	12	,	,	PUNCT
cana-5533	277	13	now	now	ADV
cana-5533	277	14	we	we	PRON
cana-5533	277	15	will	will	AUX
cana-5533	277	16	find	find	VERB
cana-5533	277	17	bayes	bayes	NOUN
cana-5533	277	18	estimators	estimator	NOUN
cana-5533	277	19	under	under	ADP
cana-5533	277	20	unbalanced	unbalanced	ADJ
cana-5533	277	21	loss	loss	NOUN
cana-5533	277	22	functions	function	NOUN
cana-5533	277	23	sequentially	sequentially	ADV
cana-5533	277	24	as	as	SCONJ
cana-5533	277	25	follows	follow	VERB
cana-5533	277	26	:	:	PUNCT
cana-5533	277	27	communications	communication	NOUN
cana-5533	277	28	on	on	ADP
cana-5533	277	29	applied	apply	VERB
cana-5533	277	30	nonlinear	nonlinear	ADJ
cana-5533	277	31	analysis	analysis	NOUN
cana-5533	277	32	issn	issn	NOUN
cana-5533	277	33	:	:	PUNCT
cana-5533	277	34	1074	1074	NUM
cana-5533	277	35	-	-	PUNCT
cana-5533	277	36	133x	133x	NUM
cana-5533	277	37	vol	vol	VERB
cana-5533	277	38	32	32	NUM
cana-5533	277	39	no	no	NOUN
cana-5533	277	40	.	.	PUNCT
cana-5533	278	1	10s	10	NOUN
cana-5533	278	2	(	(	PUNCT
cana-5533	278	3	2025	2025	NUM
cana-5533	278	4	)	)	PUNCT
cana-5533	278	5	2564	2564	NUM
cana-5533	278	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-5533	278	7	1	1	NUM
cana-5533	278	8	.	.	PUNCT
cana-5533	279	1	the	the	DET
cana-5533	279	2	generalized	generalized	ADJ
cana-5533	279	3	quadratic	quadratic	ADJ
cana-5533	279	4	loss	loss	NOUN
cana-5533	279	5	function	function	NOUN
cana-5533	279	6	the	the	DET
cana-5533	279	7	bayes	bayes	NOUN
cana-5533	279	8	estimators	estimator	NOUN
cana-5533	279	9	under	under	ADP
cana-5533	279	10	the	the	DET
cana-5533	279	11	balanced	balanced	ADJ
cana-5533	279	12	generalized	generalized	ADJ
cana-5533	279	13	quadratic	quadratic	ADJ
cana-5533	279	14	loss	loss	NOUN
cana-5533	279	15	function	function	NOUN
cana-5533	279	16	are	be	AUX
cana-5533	279	17	given	give	VERB
cana-5533	279	18	by	by	ADP
cana-5533	279	19	the	the	DET
cana-5533	279	20	formula	formula	NOUN
cana-5533	279	21	:	:	PUNCT
cana-5533	279	22	�	�	PROPN
cana-5533	279	23	̂	̂	VERB
cana-5533	279	24	�	�	NOUN
cana-5533	279	25	𝐺𝑄𝐵	𝐺𝑄𝐵	PROPN
cana-5533	279	26	=	=	SYM
cana-5533	279	27	𝑐[	𝑐[	PROPN
cana-5533	279	28	�	�	PROPN
cana-5533	279	29	̂	̂	NOUN
cana-5533	279	30	�	�	NOUN
cana-5533	279	31	𝐺𝑄	𝐺𝑄	NOUN
cana-5533	279	32	]	]	X
cana-5533	279	33	𝑎	𝑎	X
cana-5533	279	34	+	+	X
cana-5533	279	35	(	(	PUNCT
cana-5533	279	36	1	1	NUM
cana-5533	279	37	−	−	PROPN
cana-5533	279	38	𝑐)𝔼𝜋(𝜔𝑎	𝑐)𝔼𝜋(𝜔𝑎	PROPN
cana-5533	279	39	)	)	PUNCT
cana-5533	279	40	𝑐[	𝑐[	PROPN
cana-5533	279	41	�	�	PROPN
cana-5533	279	42	̂	̂	NOUN
cana-5533	279	43	�	�	NOUN
cana-5533	279	44	𝐺𝑄	𝐺𝑄	NOUN
cana-5533	279	45	]	]	X
cana-5533	279	46	𝑎−1	𝑎−1	PROPN
cana-5533	279	47	+	+	CCONJ
cana-5533	279	48	(	(	PUNCT
cana-5533	279	49	1	1	NUM
cana-5533	279	50	−	−	PROPN
cana-5533	279	51	𝑐)𝔼𝜋(𝜔𝑎−1	𝑐)𝔼𝜋(𝜔𝑎−1	NUM
cana-5533	279	52	)	)	PUNCT
cana-5533	279	53	and	and	CCONJ
cana-5533	279	54	the	the	DET
cana-5533	279	55	corresponding	corresponding	ADJ
cana-5533	279	56	posterior	posterior	ADJ
cana-5533	279	57	risks	risk	NOUN
cana-5533	279	58	are	be	AUX
cana-5533	279	59	𝑃𝑅(	𝑃𝑅(	PROPN
cana-5533	279	60	�	�	PROPN
cana-5533	279	61	̂	̂	PROPN
cana-5533	279	62	�	�	NOUN
cana-5533	279	63	𝐺𝑄𝐵	𝐺𝑄𝐵	PROPN
cana-5533	279	64	)	)	PUNCT
cana-5533	279	65	=	=	VERB
cana-5533	279	66	𝔼𝜋∗	𝔼𝜋∗	VERB
cana-5533	280	1	[	[	X
cana-5533	280	2	𝜔𝑎−1(𝜔	𝜔𝑎−1(𝜔	PROPN
cana-5533	280	3	−	−	PROPN
cana-5533	280	4	�	�	PROPN
cana-5533	280	5	̂	̂	VERB
cana-5533	280	6	�	�	NOUN
cana-5533	280	7	𝐺𝑄𝐵	𝐺𝑄𝐵	PROPN
cana-5533	280	8	)	)	PUNCT
cana-5533	280	9	2	2	NUM
cana-5533	280	10	]	]	SYM
cana-5533	280	11	2	2	X
cana-5533	280	12	.	.	PUNCT
cana-5533	280	13	the	the	DET
cana-5533	280	14	entropy	entropy	PROPN
cana-5533	280	15	loss	loss	NOUN
cana-5533	280	16	function	function	VERB
cana-5533	280	17	the	the	DET
cana-5533	280	18	bayes	bayes	PROPN
cana-5533	280	19	estimator	estimator	NOUN
cana-5533	280	20	under	under	ADP
cana-5533	280	21	the	the	DET
cana-5533	280	22	balanced	balanced	ADJ
cana-5533	280	23	entropy	entropy	NOUN
cana-5533	280	24	loss	loss	NOUN
cana-5533	280	25	function	function	NOUN
cana-5533	280	26	is	be	AUX
cana-5533	280	27	given	give	VERB
cana-5533	280	28	by	by	ADP
cana-5533	280	29	the	the	DET
cana-5533	280	30	formula	formula	NOUN
cana-5533	280	31	:	:	PUNCT
cana-5533	280	32	�	�	PROPN
cana-5533	280	33	̂	̂	VERB
cana-5533	280	34	�	�	NOUN
cana-5533	280	35	𝐸𝐵	𝐸𝐵	VERB
cana-5533	280	36	=	=	PUNCT
cana-5533	280	37	[	[	PUNCT
cana-5533	280	38	𝑐	𝑐	PROPN
cana-5533	280	39	(	(	PUNCT
cana-5533	280	40	�	�	NOUN
cana-5533	280	41	̂	̂	SYM
cana-5533	280	42	�	�	NOUN
cana-5533	280	43	𝐸	𝐸	ADJ
cana-5533	280	44	)	)	PUNCT
cana-5533	280	45	𝑝	𝑝	PROPN
cana-5533	281	1	+	+	CCONJ
cana-5533	281	2	(	(	PUNCT
cana-5533	281	3	1	1	NUM
cana-5533	281	4	−	−	NOUN
cana-5533	281	5	𝑐)𝔼𝜋	𝑐)𝔼𝜋	NOUN
cana-5533	281	6	(	(	PUNCT
cana-5533	281	7	1	1	NUM
cana-5533	281	8	𝜔𝑝	𝜔𝑝	NOUN
cana-5533	281	9	)	)	PUNCT
cana-5533	281	10	]	]	PUNCT
cana-5533	282	1	−	−	PROPN
cana-5533	282	2	1	1	NUM
cana-5533	282	3	𝑝	𝑝	PROPN
cana-5533	282	4	and	and	CCONJ
cana-5533	282	5	the	the	DET
cana-5533	282	6	corresponding	corresponding	ADJ
cana-5533	282	7	posterior	posterior	ADJ
cana-5533	282	8	risks	risk	NOUN
cana-5533	282	9	are	be	AUX
cana-5533	282	10	𝑃𝑅(	𝑃𝑅(	PROPN
cana-5533	282	11	�	�	PROPN
cana-5533	282	12	̂	̂	PROPN
cana-5533	282	13	�	�	NOUN
cana-5533	282	14	𝐸𝐵	𝐸𝐵	VERB
cana-5533	282	15	)	)	PUNCT
cana-5533	282	16	=	=	SYM
cana-5533	282	17	𝑝[𝔼𝜋∗[ln(𝜔	𝑝[𝔼𝜋∗[ln(𝜔	X
cana-5533	282	18	)	)	PUNCT
cana-5533	282	19	−	−	PRON
cana-5533	282	20	ln(	ln(	PROPN
cana-5533	282	21	�	�	PROPN
cana-5533	282	22	̂	̂	VERB
cana-5533	282	23	�	�	NOUN
cana-5533	282	24	𝐸𝐵	𝐸𝐵	VERB
cana-5533	282	25	)	)	PUNCT
cana-5533	282	26	]	]	PUNCT
cana-5533	282	27	]	]	X
cana-5533	282	28	numerical	numerical	PROPN
cana-5533	282	29	simulation	simulation	PROPN
cana-5533	282	30	we	we	PRON
cana-5533	282	31	are	be	AUX
cana-5533	282	32	going	go	VERB
cana-5533	282	33	to	to	PART
cana-5533	282	34	compare	compare	VERB
cana-5533	282	35	the	the	DET
cana-5533	282	36	performance	performance	NOUN
cana-5533	282	37	of	of	ADP
cana-5533	282	38	the	the	DET
cana-5533	282	39	proposed	propose	VERB
cana-5533	282	40	bayes	bayes	NOUN
cana-5533	282	41	estimators	estimator	NOUN
cana-5533	282	42	under	under	ADP
cana-5533	282	43	the	the	DET
cana-5533	282	44	balanced	balanced	ADJ
cana-5533	282	45	loss	loss	NOUN
cana-5533	282	46	function	function	NOUN
cana-5533	282	47	with	with	ADP
cana-5533	282	48	the	the	DET
cana-5533	282	49	mle	mle	PROPN
cana-5533	282	50	estimators	estimator	NOUN
cana-5533	282	51	,	,	PUNCT
cana-5533	282	52	for	for	ADP
cana-5533	282	53	that	that	DET
cana-5533	282	54	purpose	purpose	NOUN
cana-5533	282	55	we	we	PRON
cana-5533	282	56	perform	perform	VERB
cana-5533	282	57	a	a	DET
cana-5533	282	58	mcmc	mcmc	PROPN
cana-5533	282	59	simulation	simulation	NOUN
cana-5533	282	60	method	method	NOUN
cana-5533	282	61	,	,	PUNCT
cana-5533	282	62	we	we	PRON
cana-5533	282	63	assume	assume	VERB
cana-5533	282	64	that	that	SCONJ
cana-5533	282	65	𝜔	𝜔	AUX
cana-5533	282	66	=	=	SYM
cana-5533	282	67	0.8	0.8	NUM
cana-5533	282	68	and	and	CCONJ
cana-5533	282	69	a	a	DET
cana-5533	282	70	=	=	SYM
cana-5533	282	71	b	b	NOUN
cana-5533	282	72	=	=	SYM
cana-5533	282	73	1	1	NUM
cana-5533	282	74	,	,	PUNCT
cana-5533	282	75	then	then	ADV
cana-5533	282	76	𝜔	𝜔	ADP
cana-5533	282	77	=	=	NOUN
cana-5533	282	78	0.2	0.2	NUM
cana-5533	282	79	and	and	CCONJ
cana-5533	282	80	a	a	DET
cana-5533	282	81	=	=	SYM
cana-5533	282	82	0.5	0.5	NUM
cana-5533	282	83	b	b	NOUN
cana-5533	282	84	=	=	SYM
cana-5533	282	85	0.1	0.1	NUM
cana-5533	282	86	we	we	PRON
cana-5533	282	87	use	use	VERB
cana-5533	282	88	different	different	ADJ
cana-5533	282	89	sample	sample	NOUN
cana-5533	282	90	sizes	size	NOUN
cana-5533	282	91	n	n	PROPN
cana-5533	282	92	=	=	SYM
cana-5533	282	93	30	30	NUM
cana-5533	282	94	,	,	PUNCT
cana-5533	282	95	50	50	NUM
cana-5533	282	96	,	,	PUNCT
cana-5533	282	97	100	100	NUM
cana-5533	282	98	,	,	PUNCT
cana-5533	282	99	200	200	NUM
cana-5533	282	100	,	,	PUNCT
cana-5533	282	101	500	500	NUM
cana-5533	282	102	respectively	respectively	ADV
cana-5533	282	103	,	,	PUNCT
cana-5533	282	104	thus	thus	ADV
cana-5533	282	105	we	we	PRON
cana-5533	282	106	obtain	obtain	VERB
cana-5533	282	107	the	the	DET
cana-5533	282	108	following	follow	VERB
cana-5533	282	109	results	result	NOUN
cana-5533	282	110	.	.	PUNCT
cana-5533	283	1	bayesian	bayesian	NOUN
cana-5533	283	2	estimation	estimation	NOUN
cana-5533	283	3	(	(	PUNCT
cana-5533	283	4	a	a	NOUN
cana-5533	283	5	)	)	PUNCT
cana-5533	283	6	.	.	PUNCT
cana-5533	284	1	the	the	DET
cana-5533	284	2	balanced	balanced	ADJ
cana-5533	284	3	generalized	generalized	ADJ
cana-5533	284	4	quadratic	quadratic	ADJ
cana-5533	284	5	loss	loss	NOUN
cana-5533	284	6	function	function	NOUN
cana-5533	284	7	using	use	VERB
cana-5533	284	8	the	the	DET
cana-5533	284	9	balanced	balanced	ADJ
cana-5533	284	10	generalized	generalized	ADJ
cana-5533	284	11	quadratic	quadratic	ADJ
cana-5533	284	12	loss	loss	NOUN
cana-5533	284	13	function	function	NOUN
cana-5533	284	14	table	table	NOUN
cana-5533	284	15	5	5	NUM
cana-5533	284	16	.	.	PUNCT
cana-5533	285	1	the	the	DET
cana-5533	285	2	bayes	bayes	PROPN
cana-5533	285	3	estimators	estimator	NOUN
cana-5533	285	4	under	under	ADP
cana-5533	285	5	the	the	DET
cana-5533	285	6	balanced	balanced	ADJ
cana-5533	285	7	generalized	generalized	ADJ
cana-5533	285	8	quadratic	quadratic	ADJ
cana-5533	285	9	loss	loss	NOUN
cana-5533	285	10	function	function	NOUN
cana-5533	285	11	and	and	CCONJ
cana-5533	285	12	pr	pr	NOUN
cana-5533	285	13	with	with	ADP
cana-5533	285	14	𝝎	𝝎	PROPN
cana-5533	285	15	=	=	SYM
cana-5533	285	16	0.8	0.8	NUM
cana-5533	285	17	and	and	CCONJ
cana-5533	285	18	a	a	DET
cana-5533	285	19	=	=	SYM
cana-5533	285	20	b	b	NOUN
cana-5533	285	21	=	=	SYM
cana-5533	285	22	1	1	NUM
cana-5533	285	23	(	(	PUNCT
cana-5533	285	24	in	in	ADP
cana-5533	285	25	brackets	bracket	NOUN
cana-5533	285	26	)	)	PUNCT
cana-5533	285	27	.	.	PUNCT
cana-5533	286	1	n	n	PRON
cana-5533	286	2	parame	parame	ADJ
cana-5533	286	3	ter	ter	NOUN
cana-5533	286	4	α	α	NOUN
cana-5533	286	5	-2.5	-2.5	PROPN
cana-5533	286	6	-2	-2	INTJ
cana-5533	286	7	-1	-1	PROPN
cana-5533	286	8	-0.5	-0.5	NUM
cana-5533	286	9	0,5	0,5	NUM
cana-5533	286	10	1	1	NUM
cana-5533	286	11	1.5	1.5	NUM
cana-5533	286	12	2	2	NUM
cana-5533	286	13	30	30	NUM
cana-5533	286	14	𝜔	𝜔	PRON
cana-5533	286	15	0,6267	0,6267	NOUN
cana-5533	286	16	(	(	PUNCT
cana-5533	286	17	0,0047	0,0047	NOUN
cana-5533	286	18	)	)	PUNCT
cana-5533	286	19	0,8961	0,8961	NOUN
cana-5533	286	20	(	(	PUNCT
cana-5533	286	21	0,0054	0,0054	PROPN
cana-5533	286	22	)	)	PUNCT
cana-5533	286	23	0,9233	0,9233	NOUN
cana-5533	287	1	(	(	PUNCT
cana-5533	287	2	0,0021	0,0021	PROPN
cana-5533	287	3	)	)	PUNCT
cana-5533	287	4	0,9723	0,9723	PROPN
cana-5533	287	5	(	(	PUNCT
cana-5533	287	6	0,0009	0,0009	NOUN
cana-5533	287	7	)	)	PUNCT
cana-5533	287	8	0,8494	0,8494	PROPN
cana-5533	287	9	(	(	PUNCT
cana-5533	287	10	0,0084	0,0084	NOUN
cana-5533	287	11	)	)	PUNCT
cana-5533	288	1	0,7609	0,7609	NOUN
cana-5533	288	2	(	(	PUNCT
cana-5533	288	3	0,0086	0,0086	ADJ
cana-5533	288	4	)	)	PUNCT
cana-5533	288	5	0,8351	0,8351	NOUN
cana-5533	288	6	(	(	PUNCT
cana-5533	288	7	0,0057	0,0057	NOUN
cana-5533	288	8	)	)	PUNCT
cana-5533	289	1	0,1276	0,1276	NOUN
cana-5533	289	2	(	(	PUNCT
cana-5533	289	3	0,0067	0,0067	ADV
cana-5533	289	4	)	)	PUNCT
cana-5533	289	5	50	50	NUM
cana-5533	289	6	𝜔	𝜔	NUM
cana-5533	289	7	0,6490	0,6490	NUM
cana-5533	289	8	(	(	PUNCT
cana-5533	289	9	0,0089	0,0089	NOUN
cana-5533	289	10	)	)	PUNCT
cana-5533	289	11	0,7990	0,7990	PROPN
cana-5533	289	12	(	(	PUNCT
cana-5533	289	13	0,0087	0,0087	NOUN
cana-5533	289	14	)	)	PUNCT
cana-5533	289	15	0,9181	0,9181	PROPN
cana-5533	289	16	(	(	PUNCT
cana-5533	289	17	0,0005	0,0005	PROPN
cana-5533	289	18	)	)	PUNCT
cana-5533	289	19	0,9798	0,9798	PROPN
cana-5533	289	20	(	(	PUNCT
cana-5533	289	21	0,0008	0,0008	NOUN
cana-5533	289	22	)	)	PUNCT
cana-5533	290	1	0,7510	0,7510	PROPN
cana-5533	290	2	(	(	PUNCT
cana-5533	290	3	0,0085	0,0085	PROPN
cana-5533	290	4	)	)	PUNCT
cana-5533	290	5	0,7575	0,7575	NOUN
cana-5533	290	6	(	(	PUNCT
cana-5533	290	7	0,0087	0,0087	NOUN
cana-5533	290	8	)	)	PUNCT
cana-5533	290	9	0,6743	0,6743	NOUN
cana-5533	290	10	(	(	PUNCT
cana-5533	290	11	0,0073	0,0073	NOUN
cana-5533	290	12	)	)	PUNCT
cana-5533	290	13	0,1099	0,1099	PROPN
cana-5533	290	14	(	(	PUNCT
cana-5533	290	15	0,0088	0,0088	NUM
cana-5533	290	16	)	)	PUNCT
cana-5533	290	17	communications	communication	NOUN
cana-5533	290	18	on	on	ADP
cana-5533	290	19	applied	apply	VERB
cana-5533	290	20	nonlinear	nonlinear	ADJ
cana-5533	290	21	analysis	analysis	NOUN
cana-5533	290	22	issn	issn	NOUN
cana-5533	290	23	:	:	PUNCT
cana-5533	290	24	1074	1074	NUM
cana-5533	290	25	-	-	PUNCT
cana-5533	290	26	133x	133x	NUM
cana-5533	290	27	vol	vol	VERB
cana-5533	290	28	32	32	NUM
cana-5533	290	29	no	no	NOUN
cana-5533	290	30	.	.	PUNCT
cana-5533	291	1	10s	10	NOUN
cana-5533	291	2	(	(	PUNCT
cana-5533	291	3	2025	2025	NUM
cana-5533	291	4	)	)	PUNCT
cana-5533	291	5	2565	2565	NUM
cana-5533	291	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-5533	291	7	100	100	NUM
cana-5533	291	8	𝜔	𝜔	PRON
cana-5533	291	9	0,8745	0,8745	PROPN
cana-5533	291	10	(	(	PUNCT
cana-5533	291	11	0,0076	0,0076	NOUN
cana-5533	291	12	)	)	PUNCT
cana-5533	291	13	0,8950	0,8950	NOUN
cana-5533	291	14	(	(	PUNCT
cana-5533	291	15	0,0075	0,0075	NUM
cana-5533	291	16	)	)	PUNCT
cana-5533	291	17	0,8199	0,8199	PROPN
cana-5533	291	18	(	(	PUNCT
cana-5533	291	19	0,0015	0,0015	PROPN
cana-5533	291	20	)	)	PUNCT
cana-5533	292	1	0,9998	0,9998	PROPN
cana-5533	292	2	(	(	PUNCT
cana-5533	292	3	0,0006	0,0006	PROPN
cana-5533	292	4	)	)	PUNCT
cana-5533	292	5	0,8598	0,8598	NUM
cana-5533	292	6	(	(	PUNCT
cana-5533	292	7	0,0054	0,0054	NOUN
cana-5533	292	8	)	)	PUNCT
cana-5533	293	1	0,8976	0,8976	NOUN
cana-5533	293	2	(	(	PUNCT
cana-5533	293	3	0,0043	0,0043	NOUN
cana-5533	293	4	)	)	PUNCT
cana-5533	293	5	0,8654	0,8654	NOUN
cana-5533	293	6	(	(	PUNCT
cana-5533	293	7	0,0034	0,0034	X
cana-5533	293	8	)	)	PUNCT
cana-5533	294	1	0,1087	0,1087	PROPN
cana-5533	294	2	(	(	PUNCT
cana-5533	294	3	0,0054	0,0054	NOUN
cana-5533	294	4	)	)	PUNCT
cana-5533	294	5	200	200	NUM
cana-5533	294	6	𝜔	𝜔	SYM
cana-5533	294	7	0,7825	0,7825	PROPN
cana-5533	294	8	(	(	PUNCT
cana-5533	294	9	0,0041	0,0041	NOUN
cana-5533	294	10	)	)	PUNCT
cana-5533	294	11	0,0825	0,0825	PROPN
cana-5533	294	12	(	(	PUNCT
cana-5533	294	13	0,0061	0,0061	PROPN
cana-5533	294	14	)	)	PUNCT
cana-5533	294	15	0,9739	0,9739	NOUN
cana-5533	294	16	(	(	PUNCT
cana-5533	294	17	0,0001	0,0001	NOUN
cana-5533	294	18	)	)	PUNCT
cana-5533	295	1	0,9878	0,9878	PROPN
cana-5533	295	2	(	(	PUNCT
cana-5533	295	3	0,0569	0,0569	ADJ
cana-5533	295	4	)	)	PUNCT
cana-5533	295	5	0,7926	0,7926	NOUN
cana-5533	295	6	(	(	PUNCT
cana-5533	295	7	0,0077	0,0077	PROPN
cana-5533	295	8	)	)	PUNCT
cana-5533	296	1	0,0977	0,0977	PROPN
cana-5533	296	2	(	(	PUNCT
cana-5533	296	3	0,0078	0,0078	PROPN
cana-5533	296	4	)	)	PUNCT
cana-5533	297	1	0,5632	0,5632	PROPN
cana-5533	297	2	(	(	PUNCT
cana-5533	297	3	0,0081	0,0081	PROPN
cana-5533	297	4	)	)	PUNCT
cana-5533	297	5	0,0990	0,0990	PROPN
cana-5533	297	6	(	(	PUNCT
cana-5533	297	7	0,0081	0,0081	PROPN
cana-5533	297	8	)	)	PUNCT
cana-5533	297	9	500	500	NUM
cana-5533	297	10	𝜔	𝜔	PART
cana-5533	297	11	0,6432	0,6432	NUM
cana-5533	297	12	(	(	PUNCT
cana-5533	297	13	0,0011	0,0011	NOUN
cana-5533	297	14	)	)	PUNCT
cana-5533	297	15	1,2127	1,2127	NOUN
cana-5533	297	16	(	(	PUNCT
cana-5533	297	17	0,0006	0,0006	NOUN
cana-5533	297	18	)	)	PUNCT
cana-5533	297	19	2,0018	2,0018	NUM
cana-5533	297	20	(	(	PUNCT
cana-5533	297	21	0,0031	0,0031	NOUN
cana-5533	297	22	)	)	PUNCT
cana-5533	297	23	0,9796	0,9796	NOUN
cana-5533	297	24	(	(	PUNCT
cana-5533	297	25	0,0003	0,0003	NOUN
cana-5533	297	26	)	)	PUNCT
cana-5533	297	27	1,0839	1,0839	NUM
cana-5533	297	28	(	(	PUNCT
cana-5533	297	29	0,0020	0,0020	NOUN
cana-5533	297	30	)	)	PUNCT
cana-5533	297	31	1,3240	1,3240	NUM
cana-5533	297	32	(	(	PUNCT
cana-5533	297	33	0,0021	0,0021	PROPN
cana-5533	297	34	)	)	PUNCT
cana-5533	297	35	1,1243	1,1243	PROPN
cana-5533	297	36	(	(	PUNCT
cana-5533	297	37	0,0032	0,0032	PROPN
cana-5533	297	38	)	)	PUNCT
cana-5533	297	39	1,1841	1,1841	NUM
cana-5533	297	40	(	(	PUNCT
cana-5533	297	41	0,0012	0,0012	NUM
cana-5533	297	42	)	)	PUNCT
cana-5533	297	43	we	we	PRON
cana-5533	297	44	remark	remark	VERB
cana-5533	297	45	that	that	SCONJ
cana-5533	297	46	the	the	DET
cana-5533	297	47	value	value	NOUN
cana-5533	297	48	α	α	NOUN
cana-5533	297	49	=	=	SYM
cana-5533	297	50	0	0	NUM
cana-5533	297	51	,	,	PUNCT
cana-5533	297	52	5	5	NUM
cana-5533	297	53	gives	give	VERB
cana-5533	297	54	the	the	DET
cana-5533	297	55	best	good	ADJ
cana-5533	297	56	posterior	posterior	ADJ
cana-5533	297	57	risk	risk	NOUN
cana-5533	297	58	.	.	PUNCT
cana-5533	298	1	also	also	ADV
cana-5533	298	2	,	,	PUNCT
cana-5533	298	3	we	we	PRON
cana-5533	298	4	obtain	obtain	VERB
cana-5533	298	5	the	the	DET
cana-5533	298	6	smallest	small	ADJ
cana-5533	298	7	suitable	suitable	ADJ
cana-5533	298	8	posterior	posterior	ADJ
cana-5533	298	9	risk	risk	NOUN
cana-5533	298	10	when	when	SCONJ
cana-5533	298	11	n	n	PRON
cana-5533	298	12	is	be	AUX
cana-5533	298	13	high	high	ADJ
cana-5533	298	14	.	.	PUNCT
cana-5533	299	1	table	table	NOUN
cana-5533	299	2	6	6	NUM
cana-5533	299	3	.	.	PUNCT
cana-5533	300	1	the	the	DET
cana-5533	300	2	bayes	bayes	PROPN
cana-5533	300	3	estimators	estimator	NOUN
cana-5533	300	4	under	under	ADP
cana-5533	300	5	the	the	DET
cana-5533	300	6	balanced	balanced	ADJ
cana-5533	300	7	generalized	generalized	ADJ
cana-5533	300	8	quadratic	quadratic	ADJ
cana-5533	300	9	loss	loss	NOUN
cana-5533	300	10	function	function	NOUN
cana-5533	300	11	and	and	CCONJ
cana-5533	300	12	pr	pr	NOUN
cana-5533	300	13	with	with	ADP
cana-5533	300	14	𝝎	𝝎	PROPN
cana-5533	300	15	=	=	SYM
cana-5533	300	16	0.2	0.2	NUM
cana-5533	300	17	and	and	CCONJ
cana-5533	300	18	a	a	DET
cana-5533	300	19	=	=	SYM
cana-5533	300	20	0.5	0.5	NUM
cana-5533	300	21	b	b	NOUN
cana-5533	300	22	=	=	SYM
cana-5533	300	23	0.1	0.1	NUM
cana-5533	300	24	(	(	PUNCT
cana-5533	300	25	in	in	ADP
cana-5533	300	26	brackets	bracket	NOUN
cana-5533	300	27	)	)	PUNCT
cana-5533	300	28	.	.	PUNCT
cana-5533	301	1	n	n	CCONJ
cana-5533	302	1	paramete	paramete	ADJ
cana-5533	302	2	r	r	NOUN
cana-5533	302	3	α	α	PROPN
cana-5533	302	4	-2.5	-2.5	INTJ
cana-5533	302	5	-2	-2	INTJ
cana-5533	303	1	-1	-1	ADP
cana-5533	304	1	0.5	0.5	NUM
cana-5533	304	2	0.5	0.5	NUM
cana-5533	304	3	1	1	NUM
cana-5533	304	4	1.5	1.5	NUM
cana-5533	304	5	2	2	NUM
cana-5533	304	6	30	30	NUM
cana-5533	304	7	𝜔	𝜔	PRON
cana-5533	304	8	0,07231	0,07231	NOUN
cana-5533	304	9	(	(	PUNCT
cana-5533	304	10	0,0047	0,0047	NOUN
cana-5533	304	11	)	)	PUNCT
cana-5533	304	12	0,05961	0,05961	PROPN
cana-5533	304	13	(	(	PUNCT
cana-5533	304	14	0,0054	0,0054	NUM
cana-5533	304	15	)	)	PUNCT
cana-5533	305	1	0,09221	0,09221	PROPN
cana-5533	305	2	(	(	PUNCT
cana-5533	305	3	0,0021	0,0021	PROPN
cana-5533	305	4	)	)	PUNCT
cana-5533	306	1	0,09823	0,09823	NUM
cana-5533	306	2	(	(	PUNCT
cana-5533	306	3	0,0019	0,0019	PROPN
cana-5533	306	4	)	)	PUNCT
cana-5533	306	5	0,08494	0,08494	NOUN
cana-5533	306	6	(	(	PUNCT
cana-5533	306	7	0,0084	0,0084	NOUN
cana-5533	306	8	)	)	PUNCT
cana-5533	306	9	0,07609	0,07609	NOUN
cana-5533	306	10	(	(	PUNCT
cana-5533	306	11	0,0086	0,0086	ADJ
cana-5533	306	12	)	)	PUNCT
cana-5533	306	13	0,08351	0,08351	NOUN
cana-5533	306	14	(	(	PUNCT
cana-5533	306	15	0,0057	0,0057	NOUN
cana-5533	306	16	)	)	PUNCT
cana-5533	307	1	0,01276	0,01276	NOUN
cana-5533	307	2	(	(	PUNCT
cana-5533	307	3	0,0067	0,0067	ADV
cana-5533	307	4	)	)	PUNCT
cana-5533	307	5	50	50	NUM
cana-5533	307	6	𝜔	𝜔	NOUN
cana-5533	307	7	0,07490	0,07490	ADJ
cana-5533	307	8	(	(	PUNCT
cana-5533	307	9	0,0089	0,0089	NOUN
cana-5533	307	10	)	)	PUNCT
cana-5533	308	1	0,0710	0,0710	ADJ
cana-5533	308	2	(	(	PUNCT
cana-5533	308	3	0,0087	0,0087	NOUN
cana-5533	308	4	)	)	PUNCT
cana-5533	308	5	0,09181	0,09181	PROPN
cana-5533	309	1	(	(	PUNCT
cana-5533	309	2	0,0005	0,0005	X
cana-5533	309	3	)	)	PUNCT
cana-5533	310	1	0,9998	0,9998	PROPN
cana-5533	310	2	(	(	PUNCT
cana-5533	310	3	0,0008	0,0008	NOUN
cana-5533	310	4	)	)	PUNCT
cana-5533	310	5	0,07510	0,07510	PROPN
cana-5533	310	6	(	(	PUNCT
cana-5533	310	7	0,0085	0,0085	ADJ
cana-5533	310	8	)	)	PUNCT
cana-5533	310	9	0,07575	0,07575	NOUN
cana-5533	310	10	(	(	PUNCT
cana-5533	310	11	0,0087	0,0087	NOUN
cana-5533	310	12	)	)	PUNCT
cana-5533	310	13	0,06743	0,06743	NOUN
cana-5533	310	14	(	(	PUNCT
cana-5533	310	15	0,0073	0,0073	X
cana-5533	310	16	)	)	PUNCT
cana-5533	311	1	0,01099	0,01099	NUM
cana-5533	311	2	(	(	PUNCT
cana-5533	311	3	0,0088	0,0088	NUM
cana-5533	311	4	)	)	PUNCT
cana-5533	311	5	10	10	NUM
cana-5533	311	6	0	0	NUM
cana-5533	311	7	𝜔	𝜔	NOUN
cana-5533	311	8	0,06792	0,06792	NUM
cana-5533	311	9	(	(	PUNCT
cana-5533	311	10	0,0076	0,0076	NOUN
cana-5533	311	11	)	)	PUNCT
cana-5533	311	12	0,0850	0,0850	NOUN
cana-5533	311	13	(	(	PUNCT
cana-5533	311	14	0,0075	0,0075	PROPN
cana-5533	311	15	)	)	PUNCT
cana-5533	311	16	0,08199	0,08199	PROPN
cana-5533	311	17	(	(	PUNCT
cana-5533	311	18	0,0015	0,0015	PROPN
cana-5533	311	19	)	)	PUNCT
cana-5533	311	20	0,09991	0,09991	PROPN
cana-5533	311	21	(	(	PUNCT
cana-5533	311	22	0,0006	0,0006	NOUN
cana-5533	311	23	)	)	PUNCT
cana-5533	311	24	0,08598	0,08598	PROPN
cana-5533	311	25	(	(	PUNCT
cana-5533	311	26	0,0054	0,0054	NUM
cana-5533	311	27	)	)	PUNCT
cana-5533	312	1	0,08976	0,08976	NOUN
cana-5533	312	2	(	(	PUNCT
cana-5533	312	3	0,0043	0,0043	PROPN
cana-5533	312	4	)	)	PUNCT
cana-5533	312	5	0,08654	0,08654	PROPN
cana-5533	312	6	(	(	PUNCT
cana-5533	312	7	0,0034	0,0034	PROPN
cana-5533	312	8	)	)	PUNCT
cana-5533	313	1	0,01087	0,01087	NOUN
cana-5533	313	2	(	(	PUNCT
cana-5533	313	3	0,0054	0,0054	NOUN
cana-5533	313	4	)	)	PUNCT
cana-5533	314	1	20	20	NUM
cana-5533	314	2	0	0	NUM
cana-5533	314	3	𝜔	𝜔	PRON
cana-5533	314	4	0,2825	0,2825	PROPN
cana-5533	314	5	(	(	PUNCT
cana-5533	314	6	0,0041	0,0041	PROPN
cana-5533	314	7	)	)	PUNCT
cana-5533	314	8	0,0825	0,0825	PROPN
cana-5533	314	9	(	(	PUNCT
cana-5533	314	10	0,0061	0,0061	PROPN
cana-5533	314	11	)	)	PUNCT
cana-5533	314	12	0,0731	0,0731	PROPN
cana-5533	314	13	(	(	PUNCT
cana-5533	314	14	0,0001	0,0001	PROPN
cana-5533	314	15	)	)	PUNCT
cana-5533	314	16	0,9869	0,9869	PROPN
cana-5533	314	17	(	(	PUNCT
cana-5533	314	18	0,0729	0,0729	PROPN
cana-5533	314	19	)	)	PUNCT
cana-5533	314	20	0,7926	0,7926	NOUN
cana-5533	314	21	(	(	PUNCT
cana-5533	314	22	0,0077	0,0077	PROPN
cana-5533	314	23	)	)	PUNCT
cana-5533	315	1	0,0977	0,0977	PROPN
cana-5533	315	2	(	(	PUNCT
cana-5533	315	3	0,0078	0,0078	PROPN
cana-5533	315	4	)	)	PUNCT
cana-5533	316	1	0,5632	0,5632	PROPN
cana-5533	316	2	(	(	PUNCT
cana-5533	316	3	0,0081	0,0081	PROPN
cana-5533	316	4	)	)	PUNCT
cana-5533	316	5	0,0990	0,0990	PROPN
cana-5533	316	6	(	(	PUNCT
cana-5533	316	7	0,0081	0,0081	PROPN
cana-5533	316	8	)	)	PUNCT
cana-5533	316	9	50	50	NUM
cana-5533	316	10	0	0	NUM
cana-5533	316	11	𝜔	𝜔	SYM
cana-5533	316	12	0,0453	0,0453	NUM
cana-5533	316	13	(	(	PUNCT
cana-5533	316	14	0,0016	0,0016	NUM
cana-5533	316	15	)	)	PUNCT
cana-5533	316	16	0,0127	0,0127	NOUN
cana-5533	316	17	(	(	PUNCT
cana-5533	316	18	0,0016	0,0016	PROPN
cana-5533	316	19	)	)	PUNCT
cana-5533	317	1	0,0932	0,0932	PROPN
cana-5533	317	2	(	(	PUNCT
cana-5533	317	3	0,0001	0,0001	PROPN
cana-5533	317	4	)	)	PUNCT
cana-5533	317	5	0,09878	0,09878	PROPN
cana-5533	317	6	(	(	PUNCT
cana-5533	317	7	0,0001	0,0001	PROPN
cana-5533	317	8	)	)	PUNCT
cana-5533	317	9	0,1839	0,1839	PROPN
cana-5533	317	10	(	(	PUNCT
cana-5533	317	11	0,0020	0,0020	NOUN
cana-5533	317	12	)	)	PUNCT
cana-5533	317	13	0,1841	0,1841	PROPN
cana-5533	317	14	(	(	PUNCT
cana-5533	317	15	0,0031	0,0031	NOUN
cana-5533	317	16	)	)	PUNCT
cana-5533	317	17	0,1232	0,1232	NOUN
cana-5533	317	18	(	(	PUNCT
cana-5533	317	19	0,0042	0,0042	NOUN
cana-5533	317	20	)	)	PUNCT
cana-5533	317	21	0,0741	0,0741	PROPN
cana-5533	317	22	(	(	PUNCT
cana-5533	317	23	0,0042	0,0042	NUM
cana-5533	317	24	)	)	PUNCT
cana-5533	317	25	communications	communication	NOUN
cana-5533	317	26	on	on	ADP
cana-5533	317	27	applied	apply	VERB
cana-5533	317	28	nonlinear	nonlinear	ADJ
cana-5533	317	29	analysis	analysis	NOUN
cana-5533	317	30	issn	issn	NOUN
cana-5533	317	31	:	:	PUNCT
cana-5533	317	32	1074	1074	NUM
cana-5533	317	33	-	-	PUNCT
cana-5533	317	34	133x	133x	NUM
cana-5533	317	35	vol	vol	VERB
cana-5533	317	36	32	32	NUM
cana-5533	317	37	no	no	NOUN
cana-5533	317	38	.	.	PUNCT
cana-5533	318	1	10s	10	NOUN
cana-5533	318	2	(	(	PUNCT
cana-5533	318	3	2025	2025	NUM
cana-5533	318	4	)	)	PUNCT
cana-5533	318	5	2566	2566	NUM
cana-5533	318	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-5533	318	7	(	(	PUNCT
cana-5533	318	8	b	b	NOUN
cana-5533	318	9	)	)	PUNCT
cana-5533	318	10	.	.	PUNCT
cana-5533	319	1	the	the	DET
cana-5533	319	2	balanced	balanced	ADJ
cana-5533	319	3	entropy	entropy	PROPN
cana-5533	319	4	loss	loss	NOUN
cana-5533	319	5	function	function	NOUN
cana-5533	319	6	using	use	VERB
cana-5533	319	7	the	the	DET
cana-5533	319	8	balanced	balanced	ADJ
cana-5533	319	9	entropy	entropy	NOUN
cana-5533	319	10	loss	loss	NOUN
cana-5533	319	11	function	function	NOUN
cana-5533	319	12	table	table	NOUN
cana-5533	319	13	7	7	NUM
cana-5533	319	14	.	.	PUNCT
cana-5533	320	1	the	the	DET
cana-5533	320	2	bayes	bayes	PROPN
cana-5533	320	3	estimators	estimator	NOUN
cana-5533	320	4	under	under	ADP
cana-5533	320	5	the	the	DET
cana-5533	320	6	balanced	balanced	ADJ
cana-5533	320	7	entropy	entropy	NOUN
cana-5533	320	8	loss	loss	NOUN
cana-5533	320	9	function	function	NOUN
cana-5533	320	10	and	and	CCONJ
cana-5533	320	11	pr	pr	NOUN
cana-5533	320	12	with	with	ADP
cana-5533	320	13	𝝎	𝝎	PROPN
cana-5533	320	14	=	=	SYM
cana-5533	320	15	0.8	0.8	NUM
cana-5533	320	16	and	and	CCONJ
cana-5533	320	17	a	a	DET
cana-5533	320	18	=	=	SYM
cana-5533	320	19	b	b	NOUN
cana-5533	320	20	=	=	SYM
cana-5533	320	21	1	1	NUM
cana-5533	320	22	(	(	PUNCT
cana-5533	320	23	in	in	ADP
cana-5533	320	24	brackets	bracket	NOUN
cana-5533	320	25	)	)	PUNCT
cana-5533	320	26	.	.	PUNCT
cana-5533	321	1	n	n	PRON
cana-5533	321	2	parame	parame	NOUN
cana-5533	321	3	ter	ter	NOUN
cana-5533	321	4	p	p	NOUN
cana-5533	322	1	-2	-2	NOUN
cana-5533	323	1	-1.5	-1.5	NUM
cana-5533	323	2	-1	-1	PROPN
cana-5533	324	1	-0.5	-0.5	X
cana-5533	324	2	0.5	0.5	NUM
cana-5533	324	3	1	1	NUM
cana-5533	324	4	1.5	1.5	NUM
cana-5533	324	5	2	2	NUM
cana-5533	324	6	30	30	NUM
cana-5533	324	7	𝜔	𝜔	PRON
cana-5533	324	8	1,0995	1,0995	NUM
cana-5533	324	9	(	(	PUNCT
cana-5533	324	10	0,0046	0,0046	NUM
cana-5533	324	11	)	)	PUNCT
cana-5533	324	12	1,1181	1,1181	PROPN
cana-5533	324	13	(	(	PUNCT
cana-5533	324	14	0,0003	0,0003	PROPN
cana-5533	324	15	)	)	PUNCT
cana-5533	324	16	0,7209	0,7209	NOUN
cana-5533	324	17	(	(	PUNCT
cana-5533	324	18	0,0171	0,0171	PROPN
cana-5533	324	19	)	)	PUNCT
cana-5533	324	20	0,8835	0,8835	NOUN
cana-5533	324	21	(	(	PUNCT
cana-5533	324	22	0,0336	0,0336	NOUN
cana-5533	324	23	)	)	PUNCT
cana-5533	325	1	0,6834	0,6834	PROPN
cana-5533	325	2	(	(	PUNCT
cana-5533	325	3	0,0433	0,0433	NOUN
cana-5533	325	4	)	)	PUNCT
cana-5533	325	5	1,1188	1,1188	NUM
cana-5533	325	6	(	(	PUNCT
cana-5533	325	7	0,0060	0,0060	PROPN
cana-5533	325	8	)	)	PUNCT
cana-5533	325	9	0,8765	0,8765	NOUN
cana-5533	325	10	(	(	PUNCT
cana-5533	325	11	0,034	0,034	NUM
cana-5533	325	12	)	)	PUNCT
cana-5533	325	13	0,9076	0,9076	NOUN
cana-5533	325	14	(	(	PUNCT
cana-5533	325	15	0,1153	0,1153	VERB
cana-5533	325	16	)	)	PUNCT
cana-5533	325	17	50	50	NUM
cana-5533	325	18	𝜔	𝜔	SYM
cana-5533	325	19	1,0945	1,0945	NUM
cana-5533	325	20	(	(	PUNCT
cana-5533	325	21	0,009	0,009	NUM
cana-5533	325	22	)	)	PUNCT
cana-5533	325	23	1,1067	1,1067	PROPN
cana-5533	325	24	(	(	PUNCT
cana-5533	325	25	0,0091	0,0091	PROPN
cana-5533	325	26	)	)	PUNCT
cana-5533	325	27	1,1041	1,1041	NUM
cana-5533	325	28	(	(	PUNCT
cana-5533	325	29	0,0009	0,0009	NUM
cana-5533	325	30	)	)	PUNCT
cana-5533	325	31	1,7981	1,7981	PROPN
cana-5533	325	32	(	(	PUNCT
cana-5533	325	33	0,0039	0,0039	X
cana-5533	325	34	)	)	PUNCT
cana-5533	325	35	1,6981	1,6981	PROPN
cana-5533	325	36	(	(	PUNCT
cana-5533	325	37	0,0038	0,0038	PROPN
cana-5533	325	38	)	)	PUNCT
cana-5533	325	39	1,1194	1,1194	NUM
cana-5533	325	40	(	(	PUNCT
cana-5533	325	41	0,0081	0,0081	PROPN
cana-5533	325	42	)	)	PUNCT
cana-5533	326	1	1,7053	1,7053	NUM
cana-5533	326	2	(	(	PUNCT
cana-5533	326	3	0,0035	0,0035	PROPN
cana-5533	326	4	)	)	PUNCT
cana-5533	326	5	1,7697	1,7697	PROPN
cana-5533	326	6	(	(	PUNCT
cana-5533	326	7	0,0099	0,0099	NOUN
cana-5533	326	8	)	)	PUNCT
cana-5533	326	9	10	10	NUM
cana-5533	326	10	0	0	NUM
cana-5533	326	11	𝜔	𝜔	PRON
cana-5533	326	12	1,3894	1,3894	NUM
cana-5533	326	13	(	(	PUNCT
cana-5533	326	14	0,102	0,102	NUM
cana-5533	326	15	)	)	PUNCT
cana-5533	326	16	1,2387	1,2387	NUM
cana-5533	326	17	(	(	PUNCT
cana-5533	326	18	0,0033	0,0033	ADJ
cana-5533	326	19	)	)	PUNCT
cana-5533	326	20	0,7645	0,7645	NOUN
cana-5533	326	21	(	(	PUNCT
cana-5533	326	22	0,0101	0,0101	NOUN
cana-5533	326	23	)	)	PUNCT
cana-5533	327	1	0,8966	0,8966	PROPN
cana-5533	327	2	(	(	PUNCT
cana-5533	327	3	0,0344	0,0344	PROPN
cana-5533	327	4	)	)	PUNCT
cana-5533	327	5	0,5623	0,5623	NUM
cana-5533	327	6	(	(	PUNCT
cana-5533	327	7	0,0653	0,0653	PROPN
cana-5533	327	8	)	)	PUNCT
cana-5533	327	9	1,0987	1,0987	NUM
cana-5533	327	10	(	(	PUNCT
cana-5533	327	11	0,0080	0,0080	NOUN
cana-5533	327	12	)	)	PUNCT
cana-5533	327	13	0,6759	0,6759	NOUN
cana-5533	327	14	(	(	PUNCT
cana-5533	327	15	0,0002	0,0002	NUM
cana-5533	327	16	)	)	PUNCT
cana-5533	327	17	0,8765	0,8765	NOUN
cana-5533	327	18	(	(	PUNCT
cana-5533	327	19	0,1003	0,1003	ADJ
cana-5533	327	20	)	)	PUNCT
cana-5533	328	1	20	20	NUM
cana-5533	328	2	0	0	NUM
cana-5533	328	3	𝜔	𝜔	PRON
cana-5533	328	4	1,3994	1,3994	PROPN
cana-5533	328	5	(	(	PUNCT
cana-5533	328	6	0,1646	0,1646	NOUN
cana-5533	328	7	)	)	PUNCT
cana-5533	328	8	1,2188	1,2188	NUM
cana-5533	328	9	(	(	PUNCT
cana-5533	328	10	0,1443	0,1443	NOUN
cana-5533	328	11	)	)	PUNCT
cana-5533	328	12	0,6205	0,6205	PROPN
cana-5533	328	13	(	(	PUNCT
cana-5533	328	14	0,0171	0,0171	PROPN
cana-5533	328	15	)	)	PUNCT
cana-5533	328	16	0,7832	0,7832	NOUN
cana-5533	328	17	(	(	PUNCT
cana-5533	328	18	0,0735	0,0735	NOUN
cana-5533	328	19	)	)	PUNCT
cana-5533	328	20	0,4830	0,4830	NOUN
cana-5533	328	21	(	(	PUNCT
cana-5533	328	22	0,0733	0,0733	NOUN
cana-5533	328	23	)	)	PUNCT
cana-5533	328	24	1,1088	1,1088	NUM
cana-5533	328	25	(	(	PUNCT
cana-5533	328	26	0,0070	0,0070	NOUN
cana-5533	328	27	)	)	PUNCT
cana-5533	328	28	0,6701	0,6701	PROPN
cana-5533	328	29	(	(	PUNCT
cana-5533	328	30	0,0667	0,0667	PROPN
cana-5533	328	31	)	)	PUNCT
cana-5533	328	32	0,7654	0,7654	PROPN
cana-5533	328	33	(	(	PUNCT
cana-5533	328	34	0,1173	0,1173	NOUN
cana-5533	328	35	)	)	PUNCT
cana-5533	328	36	50	50	NUM
cana-5533	328	37	0	0	NUM
cana-5533	328	38	𝜔	𝜔	ADP
cana-5533	328	39	1,2148	1,2148	NUM
cana-5533	328	40	(	(	PUNCT
cana-5533	328	41	0,002	0,002	NUM
cana-5533	328	42	)	)	PUNCT
cana-5533	328	43	1,2179	1,2179	PROPN
cana-5533	328	44	(	(	PUNCT
cana-5533	328	45	0,001ç	0,001ç	NUM
cana-5533	328	46	)	)	PUNCT
cana-5533	328	47	1,2167	1,2167	PROPN
cana-5533	328	48	(	(	PUNCT
cana-5533	328	49	0,0001	0,0001	PROPN
cana-5533	328	50	)	)	PUNCT
cana-5533	328	51	1,2149	1,2149	PROPN
cana-5533	328	52	(	(	PUNCT
cana-5533	328	53	0,0008	0,0008	NOUN
cana-5533	328	54	)	)	PUNCT
cana-5533	328	55	1,2148	1,2148	NOUN
cana-5533	328	56	(	(	PUNCT
cana-5533	328	57	0,0009	0,0009	NUM
cana-5533	328	58	)	)	PUNCT
cana-5533	328	59	1,1038	1,1038	PROPN
cana-5533	328	60	(	(	PUNCT
cana-5533	328	61	0,001è	0,001è	NOUN
cana-5533	328	62	)	)	PUNCT
cana-5533	328	63	1,0969	1,0969	PROPN
cana-5533	328	64	(	(	PUNCT
cana-5533	328	65	0,0008	0,0008	NOUN
cana-5533	328	66	)	)	PUNCT
cana-5533	329	1	1,0886	1,0886	PROPN
cana-5533	329	2	(	(	PUNCT
cana-5533	329	3	0,0028	0,0028	ADJ
cana-5533	329	4	)	)	PUNCT
cana-5533	329	5	table	table	NOUN
cana-5533	329	6	8	8	NUM
cana-5533	329	7	.	.	PUNCT
cana-5533	330	1	the	the	DET
cana-5533	330	2	bayes	bayes	PROPN
cana-5533	330	3	estimators	estimator	NOUN
cana-5533	330	4	under	under	ADP
cana-5533	330	5	the	the	DET
cana-5533	330	6	balanced	balanced	ADJ
cana-5533	330	7	entropy	entropy	NOUN
cana-5533	330	8	loss	loss	NOUN
cana-5533	330	9	function	function	NOUN
cana-5533	330	10	and	and	CCONJ
cana-5533	330	11	pr	pr	NOUN
cana-5533	330	12	with	with	ADP
cana-5533	330	13	𝝎	𝝎	PROPN
cana-5533	330	14	=	=	SYM
cana-5533	330	15	0.2	0.2	NUM
cana-5533	330	16	and	and	CCONJ
cana-5533	330	17	a	a	DET
cana-5533	330	18	=	=	SYM
cana-5533	330	19	0.5	0.5	NUM
cana-5533	330	20	b	b	NOUN
cana-5533	330	21	=	=	SYM
cana-5533	330	22	0.1	0.1	NUM
cana-5533	330	23	(	(	PUNCT
cana-5533	330	24	in	in	ADP
cana-5533	330	25	brackets	bracket	NOUN
cana-5533	330	26	)	)	PUNCT
cana-5533	330	27	.	.	PUNCT
cana-5533	331	1	n	n	PRON
cana-5533	331	2	parame	parame	NOUN
cana-5533	331	3	ter	ter	NOUN
cana-5533	331	4	p	p	NOUN
cana-5533	331	5	2	2	NUM
cana-5533	331	6	1.5	1.5	NUM
cana-5533	331	7	1	1	NUM
cana-5533	331	8	0.5	0.5	NUM
cana-5533	331	9	0.5	0.5	NUM
cana-5533	331	10	1	1	NUM
cana-5533	331	11	1.5	1.5	NUM
cana-5533	331	12	2	2	NUM
cana-5533	331	13	30	30	NUM
cana-5533	331	14	𝜔	𝜔	NUM
cana-5533	331	15	0,0691	0,0691	NUM
cana-5533	331	16	1	1	NUM
cana-5533	331	17	(	(	PUNCT
cana-5533	331	18	0	0	NUM
cana-5533	331	19	,	,	PUNCT
cana-5533	331	20	0004	0004	NUM
cana-5533	331	21	)	)	PUNCT
cana-5533	331	22	0,4189	0,4189	PROPN
cana-5533	331	23	(	(	PUNCT
cana-5533	331	24	0	0	NUM
cana-5533	331	25	,	,	PUNCT
cana-5533	331	26	0013	0013	NUM
cana-5533	331	27	)	)	PUNCT
cana-5533	331	28	0,1409	0,1409	NOUN
cana-5533	331	29	(	(	PUNCT
cana-5533	331	30	0	0	NUM
cana-5533	331	31	,	,	PUNCT
cana-5533	331	32	0071	0071	NUM
cana-5533	331	33	)	)	PUNCT
cana-5533	332	1	0,1830	0,1830	PROPN
cana-5533	332	2	(	(	PUNCT
cana-5533	332	3	0	0	NUM
cana-5533	332	4	,	,	PUNCT
cana-5533	332	5	003	003	NUM
cana-5533	332	6	)	)	PUNCT
cana-5533	332	7	0,0831	0,0831	NUM
cana-5533	332	8	(	(	PUNCT
cana-5533	332	9	0	0	NUM
cana-5533	332	10	,	,	PUNCT
cana-5533	332	11	0033	0033	NUM
cana-5533	332	12	)	)	PUNCT
cana-5533	332	13	00982	00982	NUM
cana-5533	332	14	(	(	PUNCT
cana-5533	332	15	0	0	NUM
cana-5533	332	16	,	,	PUNCT
cana-5533	332	17	0003	0003	NUM
cana-5533	332	18	)	)	PUNCT
cana-5533	332	19	0,8465	0,8465	NOUN
cana-5533	332	20	(	(	PUNCT
cana-5533	332	21	0	0	NUM
cana-5533	332	22	,	,	PUNCT
cana-5533	332	23	004	004	NUM
cana-5533	332	24	)	)	PUNCT
cana-5533	332	25	0,1076	0,1076	PROPN
cana-5533	332	26	(	(	PUNCT
cana-5533	332	27	0	0	NUM
cana-5533	332	28	,	,	PUNCT
cana-5533	332	29	1003	1003	NUM
cana-5533	332	30	)	)	PUNCT
cana-5533	332	31	50	50	NUM
cana-5533	332	32	𝜔	𝜔	NOUN
cana-5533	332	33	0,0942	0,0942	NOUN
cana-5533	332	34	(	(	PUNCT
cana-5533	332	35	0	0	NUM
cana-5533	332	36	,	,	PUNCT
cana-5533	332	37	082	082	NUM
cana-5533	332	38	)	)	PUNCT
cana-5533	332	39	0,1067	0,1067	NOUN
cana-5533	332	40	(	(	PUNCT
cana-5533	332	41	0	0	NUM
cana-5533	332	42	,	,	PUNCT
cana-5533	332	43	0001	0001	NUM
cana-5533	332	44	)	)	PUNCT
cana-5533	332	45	0,1111	0,1111	NOUN
cana-5533	332	46	(	(	PUNCT
cana-5533	332	47	0	0	NUM
cana-5533	332	48	,	,	PUNCT
cana-5533	332	49	0019	0019	NUM
cana-5533	332	50	)	)	PUNCT
cana-5533	332	51	0,1981	0,1981	NOUN
cana-5533	332	52	(	(	PUNCT
cana-5533	332	53	0	0	NUM
cana-5533	332	54	,	,	PUNCT
cana-5533	332	55	0008	0008	NUM
cana-5533	332	56	)	)	PUNCT
cana-5533	333	1	0,0582	0,0582	NOUN
cana-5533	333	2	(	(	PUNCT
cana-5533	333	3	0	0	NUM
cana-5533	333	4	,	,	PUNCT
cana-5533	333	5	0038	0038	NUM
cana-5533	333	6	)	)	PUNCT
cana-5533	334	1	0,1194	0,1194	PROPN
cana-5533	334	2	(	(	PUNCT
cana-5533	334	3	0	0	NUM
cana-5533	334	4	,	,	PUNCT
cana-5533	334	5	0001	0001	NUM
cana-5533	334	6	)	)	PUNCT
cana-5533	334	7	1,7053	1,7053	NUM
cana-5533	334	8	(	(	PUNCT
cana-5533	334	9	0	0	NUM
cana-5533	334	10	,	,	PUNCT
cana-5533	334	11	0015	0015	NUM
cana-5533	334	12	)	)	PUNCT
cana-5533	334	13	0,7697	0,7697	CCONJ
cana-5533	334	14	(	(	PUNCT
cana-5533	334	15	0	0	NUM
cana-5533	334	16	,	,	PUNCT
cana-5533	334	17	0009	0009	NUM
cana-5533	334	18	)	)	PUNCT
cana-5533	334	19	communications	communication	NOUN
cana-5533	334	20	on	on	ADP
cana-5533	334	21	applied	apply	VERB
cana-5533	334	22	nonlinear	nonlinear	ADJ
cana-5533	334	23	analysis	analysis	NOUN
cana-5533	334	24	issn	issn	NOUN
cana-5533	334	25	:	:	PUNCT
cana-5533	334	26	1074	1074	NUM
cana-5533	334	27	-	-	PUNCT
cana-5533	334	28	133x	133x	NUM
cana-5533	334	29	vol	vol	VERB
cana-5533	334	30	32	32	NUM
cana-5533	334	31	no	no	NOUN
cana-5533	334	32	.	.	PUNCT
cana-5533	335	1	10s	10	NOUN
cana-5533	335	2	(	(	PUNCT
cana-5533	335	3	2025	2025	NUM
cana-5533	335	4	)	)	PUNCT
cana-5533	335	5	2567	2567	NUM
cana-5533	335	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-5533	335	7	100	100	NUM
cana-5533	335	8	𝜔	𝜔	PRON
cana-5533	335	9	0,3892	0,3892	NOUN
cana-5533	335	10	(	(	PUNCT
cana-5533	335	11	0	0	NUM
cana-5533	335	12	,	,	PUNCT
cana-5533	335	13	100	100	NUM
cana-5533	335	14	)	)	PUNCT
cana-5533	335	15	02387	02387	NUM
cana-5533	335	16	(	(	PUNCT
cana-5533	335	17	0	0	NUM
cana-5533	335	18	,	,	PUNCT
cana-5533	335	19	0033	0033	NUM
cana-5533	335	20	)	)	PUNCT
cana-5533	335	21	0,1045	0,1045	NUM
cana-5533	335	22	(	(	PUNCT
cana-5533	335	23	0	0	NUM
cana-5533	335	24	,	,	PUNCT
cana-5533	335	25	0101	0101	NUM
cana-5533	335	26	)	)	PUNCT
cana-5533	336	1	0,8455	0,8455	PROPN
cana-5533	336	2	(	(	PUNCT
cana-5533	336	3	0	0	NUM
cana-5533	336	4	,	,	PUNCT
cana-5533	336	5	0343	0343	NUM
cana-5533	336	6	)	)	PUNCT
cana-5533	336	7	0,2623	0,2623	PROPN
cana-5533	336	8	(	(	PUNCT
cana-5533	336	9	0	0	NUM
cana-5533	336	10	,	,	PUNCT
cana-5533	336	11	0653	0653	NUM
cana-5533	336	12	)	)	PUNCT
cana-5533	336	13	0,0994	0,0994	PROPN
cana-5533	336	14	(	(	PUNCT
cana-5533	336	15	0	0	NUM
cana-5533	336	16	,	,	PUNCT
cana-5533	336	17	0009	0009	NUM
cana-5533	336	18	)	)	PUNCT
cana-5533	337	1	0,6759	0,6759	NOUN
cana-5533	337	2	(	(	PUNCT
cana-5533	337	3	0	0	NUM
cana-5533	337	4	,	,	PUNCT
cana-5533	337	5	0002	0002	NUM
cana-5533	337	6	)	)	PUNCT
cana-5533	337	7	0,1765	0,1765	PROPN
cana-5533	337	8	(	(	PUNCT
cana-5533	337	9	0	0	NUM
cana-5533	337	10	,	,	PUNCT
cana-5533	337	11	1003	1003	NUM
cana-5533	337	12	)	)	PUNCT
cana-5533	337	13	200	200	NUM
cana-5533	337	14	𝜔	𝜔	NOUN
cana-5533	337	15	0,1943	0,1943	NUM
cana-5533	337	16	(	(	PUNCT
cana-5533	337	17	0	0	NUM
cana-5533	337	18	,	,	PUNCT
cana-5533	337	19	1004	1004	NUM
cana-5533	337	20	)	)	PUNCT
cana-5533	337	21	0,2188	0,2188	PROPN
cana-5533	337	22	(	(	PUNCT
cana-5533	337	23	0	0	NUM
cana-5533	337	24	,	,	PUNCT
cana-5533	337	25	1401	1401	NUM
cana-5533	337	26	)	)	PUNCT
cana-5533	337	27	0,1005	0,1005	NOUN
cana-5533	337	28	(	(	PUNCT
cana-5533	337	29	0	0	NUM
cana-5533	337	30	,	,	PUNCT
cana-5533	337	31	0101	0101	NUM
cana-5533	337	32	)	)	PUNCT
cana-5533	337	33	0,7830	0,7830	PROPN
cana-5533	337	34	(	(	PUNCT
cana-5533	337	35	0	0	NUM
cana-5533	337	36	,	,	PUNCT
cana-5533	337	37	070	070	NUM
cana-5533	337	38	)	)	PUNCT
cana-5533	337	39	0,4830	0,4830	NOUN
cana-5533	337	40	(	(	PUNCT
cana-5533	337	41	0	0	NUM
cana-5533	337	42	,	,	PUNCT
cana-5533	337	43	0033	0033	NUM
cana-5533	337	44	)	)	PUNCT
cana-5533	337	45	0,1022	0,1022	NOUN
cana-5533	337	46	(	(	PUNCT
cana-5533	337	47	0	0	NUM
cana-5533	337	48	,	,	PUNCT
cana-5533	337	49	0020	0020	NUM
cana-5533	337	50	)	)	PUNCT
cana-5533	337	51	0,6701	0,6701	PROPN
cana-5533	337	52	(	(	PUNCT
cana-5533	337	53	0	0	NUM
cana-5533	337	54	,	,	PUNCT
cana-5533	337	55	021	021	NUM
cana-5533	337	56	)	)	PUNCT
cana-5533	337	57	0,114	0,114	NUM
cana-5533	337	58	(	(	PUNCT
cana-5533	337	59	0	0	NUM
cana-5533	337	60	,	,	PUNCT
cana-5533	337	61	0123	0123	NUM
cana-5533	337	62	)	)	PUNCT
cana-5533	337	63	500	500	NUM
cana-5533	337	64	𝜔	𝜔	NOUN
cana-5533	337	65	0,2144	0,2144	ADJ
cana-5533	337	66	(	(	PUNCT
cana-5533	337	67	0	0	NUM
cana-5533	337	68	,	,	PUNCT
cana-5533	337	69	0011	0011	NUM
cana-5533	337	70	)	)	PUNCT
cana-5533	337	71	0,2179	0,2179	NOUN
cana-5533	337	72	(	(	PUNCT
cana-5533	337	73	0	0	NUM
cana-5533	337	74	,	,	PUNCT
cana-5533	337	75	0012	0012	NUM
cana-5533	337	76	)	)	PUNCT
cana-5533	337	77	0,1167	0,1167	ADJ
cana-5533	337	78	(	(	PUNCT
cana-5533	337	79	0	0	NUM
cana-5533	337	80	,	,	PUNCT
cana-5533	337	81	0009	0009	NUM
cana-5533	337	82	)	)	PUNCT
cana-5533	337	83	0,2148	0,2148	NOUN
cana-5533	337	84	(	(	PUNCT
cana-5533	337	85	0	0	NUM
cana-5533	337	86	,	,	PUNCT
cana-5533	337	87	0005	0005	NUM
cana-5533	337	88	)	)	PUNCT
cana-5533	337	89	0,2148	0,2148	NOUN
cana-5533	337	90	(	(	PUNCT
cana-5533	337	91	0	0	NUM
cana-5533	337	92	,	,	PUNCT
cana-5533	337	93	0003	0003	NUM
cana-5533	337	94	)	)	PUNCT
cana-5533	337	95	0,1002	0,1002	NOUN
cana-5533	337	96	(	(	PUNCT
cana-5533	337	97	0	0	NUM
cana-5533	337	98	,	,	PUNCT
cana-5533	337	99	0011	0011	NUM
cana-5533	337	100	)	)	PUNCT
cana-5533	337	101	0,0969	0,0969	ADV
cana-5533	337	102	(	(	PUNCT
cana-5533	337	103	0	0	NUM
cana-5533	337	104	,	,	PUNCT
cana-5533	337	105	0009	0009	NUM
cana-5533	337	106	)	)	PUNCT
cana-5533	337	107	0,0886	0,0886	PROPN
cana-5533	337	108	(	(	PUNCT
cana-5533	337	109	0	0	NUM
cana-5533	337	110	,	,	PUNCT
cana-5533	337	111	0031	0031	NUM
cana-5533	337	112	)	)	PUNCT
cana-5533	337	113	we	we	PRON
cana-5533	337	114	obtain	obtain	VERB
cana-5533	337	115	the	the	DET
cana-5533	337	116	following	follow	VERB
cana-5533	337	117	table	table	NOUN
cana-5533	337	118	,	,	PUNCT
cana-5533	337	119	where	where	SCONJ
cana-5533	337	120	we	we	PRON
cana-5533	337	121	can	can	AUX
cana-5533	337	122	remark	remark	VERB
cana-5533	337	123	that	that	SCONJ
cana-5533	337	124	the	the	DET
cana-5533	337	125	values	value	NOUN
cana-5533	337	126	p	p	X
cana-5533	337	127	=	=	NOUN
cana-5533	337	128	1	1	NUM
cana-5533	337	129	,	,	PUNCT
cana-5533	337	130	n	n	NOUN
cana-5533	337	131	=	=	SYM
cana-5533	337	132	500	500	NUM
cana-5533	337	133	provide	provide	VERB
cana-5533	337	134	the	the	DET
cana-5533	337	135	best	good	ADJ
cana-5533	337	136	posterior	posterior	ADJ
cana-5533	337	137	risk	risk	NOUN
cana-5533	337	138	.	.	PUNCT
cana-5533	338	1	comparison	comparison	NOUN
cana-5533	338	2	of	of	ADP
cana-5533	338	3	the	the	DET
cana-5533	338	4	estimators	estimator	NOUN
cana-5533	338	5	using	use	VERB
cana-5533	338	6	pitman	pitman	NOUN
cana-5533	338	7	’s	’s	PART
cana-5533	338	8	closeness	closeness	NOUN
cana-5533	338	9	criterion	criterion	NOUN
cana-5533	338	10	.	.	PUNCT
cana-5533	339	1	table	table	NOUN
cana-5533	339	2	9	9	NUM
cana-5533	339	3	.	.	PUNCT
cana-5533	340	1	bays	bay	NOUN
cana-5533	340	2	estimators	estimator	NOUN
cana-5533	340	3	and	and	CCONJ
cana-5533	340	4	pr	pr	X
cana-5533	340	5	(	(	PUNCT
cana-5533	340	6	in	in	ADP
cana-5533	340	7	brackets	bracket	NOUN
cana-5533	340	8	)	)	PUNCT
cana-5533	340	9	under	under	ADP
cana-5533	340	10	the	the	DET
cana-5533	340	11	two	two	NUM
cana-5533	340	12	loss	loss	NOUN
cana-5533	340	13	function	function	NOUN
cana-5533	340	14	with	with	ADP
cana-5533	340	15	θ	θ	PROPN
cana-5533	340	16	=	=	PUNCT
cana-5533	340	17	0.8	0.8	NUM
cana-5533	340	18	and	and	CCONJ
cana-5533	340	19	a	a	DET
cana-5533	340	20	=	=	SYM
cana-5533	340	21	b	b	NOUN
cana-5533	340	22	=	=	SYM
cana-5533	340	23	1	1	NUM
cana-5533	340	24	n	n	NUM
cana-5533	340	25	parameter	parameter	NOUN
cana-5533	340	26	entropy	entropy	NOUN
cana-5533	340	27	(	(	PUNCT
cana-5533	340	28	p	p	NOUN
cana-5533	340	29	=	=	NOUN
cana-5533	340	30	1	1	NUM
cana-5533	340	31	)	)	PUNCT
cana-5533	340	32	gq	gq	NOUN
cana-5533	340	33	(	(	PUNCT
cana-5533	340	34	λ=	λ=	NOUN
cana-5533	340	35	0	0	NUM
cana-5533	340	36	,	,	PUNCT
cana-5533	340	37	5	5	NUM
cana-5533	340	38	)	)	PUNCT
cana-5533	340	39	30	30	NUM
cana-5533	340	40	𝜔	𝜔	SYM
cana-5533	340	41	1,1188	1,1188	NUM
cana-5533	340	42	(	(	PUNCT
cana-5533	340	43	0	0	NUM
cana-5533	340	44	,	,	PUNCT
cana-5533	340	45	0060	0060	NUM
cana-5533	340	46	)	)	PUNCT
cana-5533	340	47	0,9723	0,9723	PROPN
cana-5533	340	48	(	(	PUNCT
cana-5533	340	49	0	0	NUM
cana-5533	340	50	,	,	PUNCT
cana-5533	340	51	0009	0009	NUM
cana-5533	340	52	)	)	PUNCT
cana-5533	340	53	50	50	NUM
cana-5533	340	54	𝜔	𝜔	SYM
cana-5533	340	55	1,1194	1,1194	NUM
cana-5533	340	56	(	(	PUNCT
cana-5533	340	57	0	0	NUM
cana-5533	340	58	,	,	PUNCT
cana-5533	340	59	0081	0081	NUM
cana-5533	340	60	)	)	PUNCT
cana-5533	341	1	0,9798	0,9798	NOUN
cana-5533	341	2	(	(	PUNCT
cana-5533	341	3	0	0	NUM
cana-5533	341	4	,	,	PUNCT
cana-5533	341	5	0008	0008	NUM
cana-5533	341	6	)	)	PUNCT
cana-5533	341	7	100	100	NUM
cana-5533	341	8	𝜔	𝜔	SYM
cana-5533	341	9	1,0987	1,0987	NUM
cana-5533	341	10	(	(	PUNCT
cana-5533	341	11	0	0	NUM
cana-5533	341	12	,	,	PUNCT
cana-5533	341	13	0080	0080	NUM
cana-5533	341	14	)	)	PUNCT
cana-5533	341	15	0,9898	0,9898	PROPN
cana-5533	341	16	(	(	PUNCT
cana-5533	341	17	0	0	NUM
cana-5533	341	18	,	,	PUNCT
cana-5533	341	19	0006	0006	NUM
cana-5533	341	20	)	)	PUNCT
cana-5533	341	21	200	200	NUM
cana-5533	341	22	𝜔	𝜔	SYM
cana-5533	341	23	1,1088	1,1088	NUM
cana-5533	341	24	(	(	PUNCT
cana-5533	341	25	0	0	NUM
cana-5533	341	26	,	,	PUNCT
cana-5533	341	27	0070	0070	NUM
cana-5533	341	28	)	)	PUNCT
cana-5533	341	29	0,9895	0,9895	NUM
cana-5533	341	30	(	(	PUNCT
cana-5533	341	31	0	0	NUM
cana-5533	341	32	,	,	PUNCT
cana-5533	341	33	0729	0729	NUM
cana-5533	341	34	)	)	PUNCT
cana-5533	341	35	500	500	NUM
cana-5533	341	36	𝜔	𝜔	SYM
cana-5533	341	37	1,1038	1,1038	NUM
cana-5533	341	38	(	(	PUNCT
cana-5533	341	39	0	0	NUM
cana-5533	341	40	,	,	PUNCT
cana-5533	341	41	0018	0018	NUM
cana-5533	341	42	)	)	PUNCT
cana-5533	341	43	0,9899	0,9899	NOUN
cana-5533	341	44	(	(	PUNCT
cana-5533	341	45	0	0	NUM
cana-5533	341	46	,	,	PUNCT
cana-5533	341	47	0001	0001	NUM
cana-5533	341	48	)	)	PUNCT
cana-5533	341	49	table	table	NOUN
cana-5533	341	50	10	10	NUM
cana-5533	341	51	.	.	PUNCT
cana-5533	342	1	bays	bay	NOUN
cana-5533	342	2	estimators	estimator	NOUN
cana-5533	342	3	and	and	CCONJ
cana-5533	342	4	pr	pr	X
cana-5533	342	5	(	(	PUNCT
cana-5533	342	6	in	in	ADP
cana-5533	342	7	brackets	bracket	NOUN
cana-5533	342	8	)	)	PUNCT
cana-5533	342	9	under	under	ADP
cana-5533	342	10	the	the	DET
cana-5533	342	11	two	two	NUM
cana-5533	342	12	loss	loss	NOUN
cana-5533	342	13	function	function	NOUN
cana-5533	342	14	with	with	ADP
cana-5533	342	15	𝝎	𝝎	PROPN
cana-5533	342	16	=	=	SYM
cana-5533	342	17	0.2	0.2	NUM
cana-5533	342	18	and	and	CCONJ
cana-5533	342	19	a	a	DET
cana-5533	342	20	=	=	SYM
cana-5533	342	21	0.5	0.5	NUM
cana-5533	342	22	b	b	NOUN
cana-5533	342	23	=	=	SYM
cana-5533	342	24	0.1	0.1	NUM
cana-5533	342	25	n	n	PROPN
cana-5533	342	26	parameter	parameter	NOUN
cana-5533	342	27	entropy	entropy	NOUN
cana-5533	342	28	(	(	PUNCT
cana-5533	342	29	p	p	NOUN
cana-5533	342	30	=	=	NOUN
cana-5533	342	31	1	1	NUM
cana-5533	342	32	)	)	PUNCT
cana-5533	342	33	gq	gq	NOUN
cana-5533	342	34	(	(	PUNCT
cana-5533	342	35	λ=	λ=	NOUN
cana-5533	342	36	0	0	NUM
cana-5533	342	37	,	,	PUNCT
cana-5533	342	38	5	5	NUM
cana-5533	342	39	)	)	PUNCT
cana-5533	342	40	30	30	NUM
cana-5533	342	41	𝜔	𝜔	SYM
cana-5533	342	42	00982	00982	NUM
cana-5533	342	43	(	(	PUNCT
cana-5533	342	44	0	0	NUM
cana-5533	342	45	,	,	PUNCT
cana-5533	342	46	0003	0003	NUM
cana-5533	342	47	)	)	PUNCT
cana-5533	343	1	0,09823	0,09823	NUM
cana-5533	343	2	(	(	PUNCT
cana-5533	343	3	0	0	NUM
cana-5533	343	4	,	,	PUNCT
cana-5533	343	5	0019	0019	NUM
cana-5533	343	6	)	)	PUNCT
cana-5533	343	7	50	50	NUM
cana-5533	343	8	𝜔	𝜔	NOUN
cana-5533	343	9	0,1194	0,1194	PROPN
cana-5533	343	10	(	(	PUNCT
cana-5533	343	11	0	0	NUM
cana-5533	343	12	,	,	PUNCT
cana-5533	343	13	0001	0001	NUM
cana-5533	343	14	)	)	PUNCT
cana-5533	344	1	0,9998	0,9998	PROPN
cana-5533	344	2	(	(	PUNCT
cana-5533	344	3	0	0	NUM
cana-5533	344	4	,	,	PUNCT
cana-5533	344	5	0008	0008	NUM
cana-5533	344	6	)	)	PUNCT
cana-5533	344	7	100	100	NUM
cana-5533	344	8	𝜔	𝜔	DET
cana-5533	344	9	0,0994	0,0994	NUM
cana-5533	344	10	(	(	PUNCT
cana-5533	344	11	0	0	NUM
cana-5533	344	12	,	,	PUNCT
cana-5533	344	13	0009	0009	NUM
cana-5533	344	14	)	)	PUNCT
cana-5533	344	15	0,09991	0,09991	PROPN
cana-5533	344	16	(	(	PUNCT
cana-5533	344	17	0	0	NUM
cana-5533	344	18	,	,	PUNCT
cana-5533	344	19	0006	0006	NUM
cana-5533	344	20	)	)	PUNCT
cana-5533	344	21	200	200	NUM
cana-5533	344	22	𝜔	𝜔	NOUN
cana-5533	344	23	0,1022	0,1022	NOUN
cana-5533	344	24	(	(	PUNCT
cana-5533	344	25	0	0	NUM
cana-5533	344	26	,	,	PUNCT
cana-5533	344	27	0020	0020	NUM
cana-5533	344	28	)	)	PUNCT
cana-5533	344	29	0,9869	0,9869	PROPN
cana-5533	344	30	(	(	PUNCT
cana-5533	344	31	0	0	NUM
cana-5533	344	32	,	,	PUNCT
cana-5533	344	33	0729	0729	NUM
cana-5533	344	34	)	)	PUNCT
cana-5533	344	35	500	500	NUM
cana-5533	344	36	𝜔	𝜔	NOUN
cana-5533	344	37	0,1002	0,1002	NOUN
cana-5533	344	38	(	(	PUNCT
cana-5533	344	39	0	0	NUM
cana-5533	344	40	,	,	PUNCT
cana-5533	344	41	0011	0011	NUM
cana-5533	344	42	)	)	PUNCT
cana-5533	344	43	0,09878	0,09878	PROPN
cana-5533	344	44	(	(	PUNCT
cana-5533	344	45	0	0	NUM
cana-5533	344	46	,	,	PUNCT
cana-5533	344	47	0001	0001	NUM
cana-5533	344	48	)	)	PUNCT
cana-5533	344	49	communications	communication	NOUN
cana-5533	344	50	on	on	ADP
cana-5533	344	51	applied	apply	VERB
cana-5533	344	52	nonlinear	nonlinear	ADJ
cana-5533	344	53	analysis	analysis	NOUN
cana-5533	344	54	issn	issn	NOUN
cana-5533	344	55	:	:	PUNCT
cana-5533	344	56	1074	1074	NUM
cana-5533	344	57	-	-	PUNCT
cana-5533	344	58	133x	133x	NUM
cana-5533	344	59	vol	vol	VERB
cana-5533	344	60	32	32	NUM
cana-5533	344	61	no	no	NOUN
cana-5533	344	62	.	.	PUNCT
cana-5533	345	1	10s	10	NOUN
cana-5533	345	2	(	(	PUNCT
cana-5533	345	3	2025	2025	NUM
cana-5533	345	4	)	)	PUNCT
cana-5533	345	5	2568	2568	NUM
cana-5533	346	1	https://internationalpubls.com	https://internationalpubls.com	X
cana-5533	346	2	comparison	comparison	NOUN
cana-5533	346	3	of	of	ADP
cana-5533	346	4	the	the	DET
cana-5533	346	5	estimation	estimation	NOUN
cana-5533	346	6	methods	method	NOUN
cana-5533	346	7	we	we	PRON
cana-5533	346	8	suggest	suggest	VERB
cana-5533	346	9	contrasting	contrast	VERB
cana-5533	346	10	the	the	DET
cana-5533	346	11	maximum	maximum	ADJ
cana-5533	346	12	likelihood	likelihood	NOUN
cana-5533	346	13	estimators	estimator	NOUN
cana-5533	346	14	with	with	ADP
cana-5533	346	15	the	the	DET
cana-5533	346	16	best	good	ADJ
cana-5533	346	17	bayesian	bayesian	NOUN
cana-5533	346	18	estimators	estimator	NOUN
cana-5533	346	19	found	find	VERB
cana-5533	346	20	above	above	ADV
cana-5533	346	21	in	in	ADP
cana-5533	346	22	this	this	DET
cana-5533	346	23	subsection	subsection	NOUN
cana-5533	346	24	.	.	PUNCT
cana-5533	347	1	we	we	PRON
cana-5533	347	2	suggest	suggest	VERB
cana-5533	347	3	using	use	VERB
cana-5533	347	4	the	the	DET
cana-5533	347	5	following	follow	VERB
cana-5533	347	6	criteria	criterion	NOUN
cana-5533	347	7	for	for	ADP
cana-5533	347	8	this	this	PRON
cana-5533	347	9	.	.	PUNCT
cana-5533	348	1	the	the	DET
cana-5533	348	2	closeness	closeness	NOUN
cana-5533	348	3	of	of	ADP
cana-5533	348	4	pitman	pitman	NOUN
cana-5533	348	5	(	(	PUNCT
cana-5533	348	6	pitman	pitman	NOUN
cana-5533	348	7	1937	1937	NUM
cana-5533	348	8	)	)	PUNCT
cana-5533	348	9	.	.	PUNCT
cana-5533	349	1	jozani	jozani	PROPN
cana-5533	349	2	et	et	PROPN
cana-5533	349	3	al	al	PROPN
cana-5533	349	4	.	.	PROPN
cana-5533	349	5	2012	2012	NUM
cana-5533	349	6	;	;	PUNCT
cana-5533	349	7	fuller	full	ADJ
cana-5533	349	8	,	,	PUNCT
cana-5533	349	9	1982	1982	NUM
cana-5533	349	10	)	)	PUNCT
cana-5533	349	11	as	as	ADV
cana-5533	349	12	well	well	ADV
cana-5533	349	13	as	as	ADP
cana-5533	349	14	the	the	DET
cana-5533	349	15	integrated	integrate	VERB
cana-5533	349	16	mean	mean	ADJ
cana-5533	349	17	square	square	NOUN
cana-5533	349	18	error	error	NOUN
cana-5533	349	19	(	(	PUNCT
cana-5533	349	20	imse	imse	NOUN
cana-5533	349	21	)	)	PUNCT
cana-5533	349	22	,	,	PUNCT
cana-5533	349	23	which	which	PRON
cana-5533	349	24	is	be	AUX
cana-5533	349	25	defined	define	VERB
cana-5533	349	26	as	as	SCONJ
cana-5533	349	27	follows	follow	VERB
cana-5533	349	28	:	:	PUNCT
cana-5533	349	29	definition	definition	NOUN
cana-5533	349	30	2	2	NUM
cana-5533	349	31	.	.	PUNCT
cana-5533	349	32	an	an	DET
cana-5533	349	33	estimator	estimator	NOUN
cana-5533	349	34	𝜔	𝜔	SYM
cana-5533	349	35	1	1	NUM
cana-5533	349	36	of	of	ADP
cana-5533	349	37	a	a	DET
cana-5533	349	38	parameter	parameter	NOUN
cana-5533	349	39	𝜔	𝜔	AUX
cana-5533	349	40	dominates	dominate	NOUN
cana-5533	349	41	in	in	ADP
cana-5533	349	42	the	the	DET
cana-5533	349	43	sense	sense	NOUN
cana-5533	349	44	of	of	ADP
cana-5533	349	45	pitman	pitman	NOUN
cana-5533	349	46	closeness	closeness	NOUN
cana-5533	349	47	criterions	criterion	VERB
cana-5533	349	48	another	another	DET
cana-5533	349	49	estimator	estimator	NOUN
cana-5533	349	50	𝜔	𝜔	SYM
cana-5533	349	51	2	2	NUM
cana-5533	349	52	,	,	PUNCT
cana-5533	349	53	if	if	SCONJ
cana-5533	349	54	for	for	ADP
cana-5533	349	55	all	all	DET
cana-5533	349	56	𝜔	𝜔	DET
cana-5533	349	57	∈	∈	ADJ
cana-5533	349	58	θ	θ	NOUN
cana-5533	349	59	:	:	PUNCT
cana-5533	349	60	𝑃𝜔[|𝜔1	𝑃𝜔[|𝜔1	DET
cana-5533	349	61	−	−	PROPN
cana-5533	349	62	𝜔|	𝜔|	NOUN
cana-5533	349	63	<	<	X
cana-5533	349	64	|𝜔2	|𝜔2	NOUN
cana-5533	349	65	−	−	ADP
cana-5533	349	66	𝜔|	𝜔|	NOUN
cana-5533	349	67	]	]	PUNCT
cana-5533	349	68	>	>	X
cana-5533	349	69	1	1	NUM
cana-5533	349	70	2	2	NUM
cana-5533	349	71	consider	consider	VERB
cana-5533	349	72	the	the	DET
cana-5533	349	73	estimators	estimator	NOUN
cana-5533	349	74	𝜔	𝜔	VERB
cana-5533	349	75	i	i	PRON
cana-5533	349	76	,	,	PUNCT
cana-5533	349	77	i	i	PRON
cana-5533	349	78	∈	∈	PROPN
cana-5533	349	79	{	{	PUNCT
cana-5533	349	80	1	1	NUM
cana-5533	349	81	,	,	PUNCT
cana-5533	349	82	...	...	PUNCT
cana-5533	349	83	,	,	PUNCT
cana-5533	349	84	n	n	CCONJ
cana-5533	349	85	}	}	PUNCT
cana-5533	349	86	obtained	obtain	VERB
cana-5533	349	87	with	with	ADP
cana-5533	349	88	n	n	ADP
cana-5533	349	89	samples	sample	NOUN
cana-5533	349	90	of	of	ADP
cana-5533	349	91	the	the	DET
cana-5533	349	92	model	model	NOUN
cana-5533	349	93	.	.	PUNCT
cana-5533	350	1	in	in	ADP
cana-5533	350	2	the	the	DET
cana-5533	350	3	following	following	NOUN
cana-5533	350	4	,	,	PUNCT
cana-5533	350	5	we	we	PRON
cana-5533	350	6	present	present	VERB
cana-5533	350	7	the	the	DET
cana-5533	350	8	values	value	NOUN
cana-5533	350	9	of	of	ADP
cana-5533	350	10	the	the	DET
cana-5533	350	11	pitman	pitman	NOUN
cana-5533	350	12	probabilities	probability	NOUN
cana-5533	350	13	which	which	PRON
cana-5533	350	14	allow	allow	VERB
cana-5533	350	15	us	we	PRON
cana-5533	350	16	to	to	PART
cana-5533	350	17	compare	compare	VERB
cana-5533	350	18	the	the	DET
cana-5533	350	19	bayesian	bayesian	NOUN
cana-5533	350	20	estimators	estimator	NOUN
cana-5533	350	21	with	with	ADP
cana-5533	350	22	the	the	DET
cana-5533	350	23	mle	mle	NOUN
cana-5533	350	24	under	under	ADP
cana-5533	350	25	the	the	DET
cana-5533	350	26	tow	tow	NOUN
cana-5533	350	27	loss	loss	NOUN
cana-5533	350	28	function	function	NOUN
cana-5533	350	29	.	.	PUNCT
cana-5533	351	1	the	the	DET
cana-5533	351	2	table	table	NOUN
cana-5533	351	3	5	5	NUM
cana-5533	351	4	where	where	SCONJ
cana-5533	351	5	should	should	AUX
cana-5533	351	6	as	as	ADP
cana-5533	351	7	follows	follow	VERB
cana-5533	351	8	,	,	PUNCT
cana-5533	351	9	when	when	SCONJ
cana-5533	351	10	the	the	DET
cana-5533	351	11	probability	probability	NOUN
cana-5533	351	12	is	be	AUX
cana-5533	351	13	greater	great	ADJ
cana-5533	351	14	than	than	ADP
cana-5533	351	15	-0	-0	PROPN
cana-5533	351	16	,	,	PUNCT
cana-5533	351	17	5	5	NUM
cana-5533	351	18	,	,	PUNCT
cana-5533	351	19	the	the	DET
cana-5533	351	20	bayesian	bayesian	NOUN
cana-5533	351	21	estimators	estimator	NOUN
cana-5533	351	22	is	be	AUX
cana-5533	351	23	better	well	ADJ
cana-5533	351	24	than	than	ADP
cana-5533	351	25	the	the	DET
cana-5533	351	26	mle	mle	PROPN
cana-5533	351	27	estimators	estimator	NOUN
cana-5533	351	28	.	.	PUNCT
cana-5533	352	1	then	then	ADV
cana-5533	352	2	we	we	PRON
cana-5533	352	3	notice	notice	VERB
cana-5533	352	4	that	that	SCONJ
cana-5533	352	5	,	,	PUNCT
cana-5533	352	6	according	accord	VERB
cana-5533	352	7	to	to	ADP
cana-5533	352	8	this	this	DET
cana-5533	352	9	criterion	criterion	NOUN
cana-5533	352	10	:	:	PUNCT
cana-5533	352	11	according	accord	VERB
cana-5533	352	12	to	to	ADP
cana-5533	352	13	pitman	pitman	NOUN
cana-5533	352	14	’s	’s	PART
cana-5533	352	15	criterion	criterion	NOUN
cana-5533	352	16	,	,	PUNCT
cana-5533	352	17	the	the	DET
cana-5533	352	18	bayesian	bayesian	NOUN
cana-5533	352	19	estimators	estimator	NOUN
cana-5533	352	20	of	of	ADP
cana-5533	352	21	the	the	DET
cana-5533	352	22	parameters	parameter	NOUN
cana-5533	352	23	are	be	AUX
cana-5533	352	24	better	well	ADJ
cana-5533	352	25	than	than	ADP
cana-5533	352	26	the	the	DET
cana-5533	352	27	mle	mle	NOUN
cana-5533	352	28	,	,	PUNCT
cana-5533	352	29	also	also	ADV
cana-5533	352	30	the	the	DET
cana-5533	352	31	generalized	generalized	ADJ
cana-5533	352	32	quadratic	quadratic	ADJ
cana-5533	352	33	loss	loss	NOUN
cana-5533	352	34	function	function	NOUN
cana-5533	352	35	has	have	VERB
cana-5533	352	36	the	the	DET
cana-5533	352	37	best	good	ADJ
cana-5533	352	38	values	value	NOUN
cana-5533	352	39	in	in	ADP
cana-5533	352	40	comparison	comparison	NOUN
cana-5533	352	41	with	with	ADP
cana-5533	352	42	the	the	DET
cana-5533	352	43	other	other	ADJ
cana-5533	352	44	loss	loss	NOUN
cana-5533	352	45	functions	function	NOUN
cana-5533	352	46	.	.	PUNCT
cana-5533	353	1	table	table	NOUN
cana-5533	353	2	11	11	NUM
cana-5533	353	3	.	.	PUNCT
cana-5533	354	1	pitman	pitman	NOUN
cana-5533	354	2	comparison	comparison	NOUN
cana-5533	354	3	of	of	ADP
cana-5533	354	4	the	the	DET
cana-5533	354	5	estimators	estimator	NOUN
cana-5533	354	6	with	with	ADP
cana-5533	354	7	𝝎	𝝎	PROPN
cana-5533	354	8	=	=	SYM
cana-5533	354	9	0.8	0.8	NUM
cana-5533	354	10	and	and	CCONJ
cana-5533	354	11	a	a	DET
cana-5533	354	12	=	=	SYM
cana-5533	354	13	b	b	NOUN
cana-5533	354	14	=	=	SYM
cana-5533	354	15	1	1	PROPN
cana-5533	354	16	.	.	X
cana-5533	355	1	n	n	X
cana-5533	355	2	entropy	entropy	VERB
cana-5533	355	3	(	(	PUNCT
cana-5533	355	4	p	p	NOUN
cana-5533	355	5	=	=	NOUN
cana-5533	355	6	1	1	NUM
cana-5533	355	7	)	)	PUNCT
cana-5533	355	8	gq	gq	NOUN
cana-5533	355	9	(	(	PUNCT
cana-5533	355	10	α	α	NOUN
cana-5533	355	11	=	=	SYM
cana-5533	355	12	0	0	NUM
cana-5533	355	13	,	,	PUNCT
cana-5533	355	14	5	5	NUM
cana-5533	355	15	)	)	PUNCT
cana-5533	355	16	30	30	NUM
cana-5533	355	17	0	0	NUM
cana-5533	355	18	,	,	PUNCT
cana-5533	355	19	287	287	NUM
cana-5533	355	20	0	0	NUM
cana-5533	355	21	,	,	PUNCT
cana-5533	355	22	366	366	NUM
cana-5533	355	23	50	50	NUM
cana-5533	355	24	0	0	NUM
cana-5533	355	25	,	,	PUNCT
cana-5533	355	26	796	796	NUM
cana-5533	355	27	0	0	NUM
cana-5533	355	28	,	,	PUNCT
cana-5533	355	29	598	598	NUM
cana-5533	355	30	100	100	NUM
cana-5533	355	31	0	0	NUM
cana-5533	355	32	,	,	PUNCT
cana-5533	355	33	688	688	NUM
cana-5533	355	34	0	0	NUM
cana-5533	355	35	,	,	PUNCT
cana-5533	355	36	579	579	NUM
cana-5533	355	37	200	200	NUM
cana-5533	355	38	0	0	NUM
cana-5533	355	39	,	,	PUNCT
cana-5533	355	40	698	698	NUM
cana-5533	355	41	0	0	NUM
cana-5533	355	42	,	,	PUNCT
cana-5533	355	43	632	632	NUM
cana-5533	355	44	500	500	NUM
cana-5533	355	45	0	0	NUM
cana-5533	355	46	,	,	PUNCT
cana-5533	355	47	706	706	NUM
cana-5533	355	48	0	0	NUM
cana-5533	355	49	,	,	PUNCT
cana-5533	355	50	702	702	NUM
cana-5533	355	51	table	table	NOUN
cana-5533	355	52	12	12	NUM
cana-5533	355	53	.	.	PUNCT
cana-5533	356	1	pitman	pitman	NOUN
cana-5533	356	2	comparison	comparison	NOUN
cana-5533	356	3	of	of	ADP
cana-5533	356	4	the	the	DET
cana-5533	356	5	estimators	estimator	NOUN
cana-5533	356	6	with	with	ADP
cana-5533	356	7	𝝎	𝝎	PROPN
cana-5533	356	8	=	=	SYM
cana-5533	356	9	0.2	0.2	NUM
cana-5533	356	10	and	and	CCONJ
cana-5533	356	11	a	a	DET
cana-5533	356	12	=	=	SYM
cana-5533	356	13	0.5	0.5	NUM
cana-5533	356	14	b	b	NOUN
cana-5533	356	15	=	=	SYM
cana-5533	356	16	0.1	0.1	NUM
cana-5533	356	17	.	.	PUNCT
cana-5533	357	1	n	n	X
cana-5533	357	2	entropy	entropy	VERB
cana-5533	357	3	(	(	PUNCT
cana-5533	357	4	p	p	NOUN
cana-5533	357	5	=	=	NOUN
cana-5533	357	6	1	1	NUM
cana-5533	357	7	)	)	PUNCT
cana-5533	357	8	gq	gq	NOUN
cana-5533	357	9	(	(	PUNCT
cana-5533	357	10	α	α	NOUN
cana-5533	357	11	=	=	SYM
cana-5533	357	12	0	0	NUM
cana-5533	357	13	,	,	PUNCT
cana-5533	357	14	5	5	NUM
cana-5533	357	15	)	)	PUNCT
cana-5533	357	16	30	30	NUM
cana-5533	357	17	0	0	NUM
cana-5533	357	18	,	,	PUNCT
cana-5533	357	19	498	498	NUM
cana-5533	357	20	0	0	NUM
cana-5533	357	21	,	,	PUNCT
cana-5533	357	22	456	456	NUM
cana-5533	357	23	50	50	NUM
cana-5533	357	24	0	0	NUM
cana-5533	357	25	,	,	PUNCT
cana-5533	357	26	699	699	NUM
cana-5533	357	27	0	0	NUM
cana-5533	357	28	,	,	PUNCT
cana-5533	357	29	634	634	NUM
cana-5533	357	30	100	100	NUM
cana-5533	357	31	0	0	NUM
cana-5533	357	32	,	,	PUNCT
cana-5533	357	33	787	787	NUM
cana-5533	357	34	0	0	NUM
cana-5533	357	35	,	,	PUNCT
cana-5533	357	36	556	556	NUM
cana-5533	357	37	200	200	NUM
cana-5533	357	38	0	0	NUM
cana-5533	357	39	,	,	PUNCT
cana-5533	357	40	755	755	NUM
cana-5533	357	41	0	0	NUM
cana-5533	357	42	,	,	PUNCT
cana-5533	357	43	603	603	NUM
cana-5533	357	44	500	500	NUM
cana-5533	357	45	0	0	NUM
cana-5533	357	46	,	,	PUNCT
cana-5533	357	47	722	722	NUM
cana-5533	357	48	0	0	NUM
cana-5533	357	49	,	,	PUNCT
cana-5533	357	50	611	611	NUM
cana-5533	357	51	communications	communication	NOUN
cana-5533	357	52	on	on	ADP
cana-5533	357	53	applied	apply	VERB
cana-5533	357	54	nonlinear	nonlinear	ADJ
cana-5533	357	55	analysis	analysis	NOUN
cana-5533	357	56	issn	issn	NOUN
cana-5533	357	57	:	:	PUNCT
cana-5533	357	58	1074	1074	NUM
cana-5533	357	59	-	-	PUNCT
cana-5533	357	60	133x	133x	NUM
cana-5533	357	61	vol	vol	VERB
cana-5533	357	62	32	32	NUM
cana-5533	357	63	no	no	NOUN
cana-5533	357	64	.	.	PUNCT
cana-5533	358	1	10s	10	NOUN
cana-5533	358	2	(	(	PUNCT
cana-5533	358	3	2025	2025	NUM
cana-5533	358	4	)	)	PUNCT
cana-5533	358	5	2569	2569	NUM
cana-5533	358	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-5533	358	7	6	6	NUM
cana-5533	358	8	.	.	PUNCT
cana-5533	358	9	application	application	NOUN
cana-5533	358	10	and	and	CCONJ
cana-5533	358	11	comparison	comparison	NOUN
cana-5533	358	12	in	in	ADP
cana-5533	358	13	this	this	DET
cana-5533	358	14	section	section	NOUN
cana-5533	358	15	,	,	PUNCT
cana-5533	358	16	the	the	DET
cana-5533	358	17	real	real	ADJ
cana-5533	358	18	-	-	PUNCT
cana-5533	358	19	life	life	NOUN
cana-5533	358	20	applicability	applicability	NOUN
cana-5533	358	21	of	of	ADP
cana-5533	358	22	the	the	DET
cana-5533	358	23	new	new	ADJ
cana-5533	358	24	one	one	NUM
cana-5533	358	25	-	-	PUNCT
cana-5533	358	26	parameter	parameter	NOUN
cana-5533	358	27	model	model	NOUN
cana-5533	358	28	is	be	AUX
cana-5533	358	29	demonstrated	demonstrate	VERB
cana-5533	358	30	by	by	ADP
cana-5533	358	31	voltage	voltage	NOUN
cana-5533	358	32	data	datum	NOUN
cana-5533	358	33	.	.	PUNCT
cana-5533	359	1	the	the	DET
cana-5533	359	2	data	datum	NOUN
cana-5533	359	3	set	set	VERB
cana-5533	359	4	represents	represent	VERB
cana-5533	359	5	the	the	DET
cana-5533	359	6	failure	failure	NOUN
cana-5533	359	7	and	and	CCONJ
cana-5533	359	8	running	running	NOUN
cana-5533	359	9	times	time	NOUN
cana-5533	359	10	of	of	ADP
cana-5533	359	11	a	a	DET
cana-5533	359	12	sample	sample	NOUN
cana-5533	359	13	of	of	ADP
cana-5533	359	14	devices	device	NOUN
cana-5533	359	15	from	from	ADP
cana-5533	359	16	a	a	DET
cana-5533	359	17	larger	large	ADJ
cana-5533	359	18	system	system	NOUN
cana-5533	359	19	field	field	NOUN
cana-5533	359	20	-	-	PUNCT
cana-5533	359	21	tracking	track	VERB
cana-5533	359	22	research	research	NOUN
cana-5533	359	23	.	.	PUNCT
cana-5533	360	1	the	the	DET
cana-5533	360	2	data	datum	NOUN
cana-5533	360	3	studied	study	VERB
cana-5533	360	4	by	by	ADP
cana-5533	360	5	meeker	meeker	PROPN
cana-5533	360	6	et	et	PROPN
cana-5533	360	7	al.(2022	al.(2022	PROPN
cana-5533	360	8	)	)	PUNCT
cana-5533	360	9	,	,	PUNCT
cana-5533	360	10	and	and	CCONJ
cana-5533	360	11	the	the	DET
cana-5533	360	12	data	datum	NOUN
cana-5533	360	13	are	be	AUX
cana-5533	360	14	given	give	VERB
cana-5533	360	15	by	by	ADP
cana-5533	360	16	:	:	PUNCT
cana-5533	360	17	275	275	NUM
cana-5533	360	18	,	,	PUNCT
cana-5533	360	19	13	13	NUM
cana-5533	360	20	,	,	PUNCT
cana-5533	360	21	147	147	NUM
cana-5533	360	22	,	,	PUNCT
cana-5533	360	23	23	23	NUM
cana-5533	360	24	,	,	PUNCT
cana-5533	360	25	181	181	NUM
cana-5533	360	26	,	,	PUNCT
cana-5533	360	27	30	30	NUM
cana-5533	360	28	,	,	PUNCT
cana-5533	360	29	65	65	NUM
cana-5533	360	30	,	,	PUNCT
cana-5533	360	31	10	10	NUM
cana-5533	360	32	,	,	PUNCT
cana-5533	360	33	300	300	NUM
cana-5533	360	34	,	,	PUNCT
cana-5533	360	35	173	173	NUM
cana-5533	360	36	,	,	PUNCT
cana-5533	360	37	106	106	NUM
cana-5533	360	38	,	,	PUNCT
cana-5533	360	39	300	300	NUM
cana-5533	360	40	,	,	PUNCT
cana-5533	360	41	300	300	NUM
cana-5533	360	42	,	,	PUNCT
cana-5533	360	43	212	212	NUM
cana-5533	360	44	,	,	PUNCT
cana-5533	360	45	300	300	NUM
cana-5533	360	46	,	,	PUNCT
cana-5533	360	47	300	300	NUM
cana-5533	360	48	,	,	PUNCT
cana-5533	360	49	300	300	NUM
cana-5533	360	50	,	,	PUNCT
cana-5533	360	51	2	2	NUM
cana-5533	360	52	,	,	PUNCT
cana-5533	360	53	261	261	NUM
cana-5533	360	54	,	,	PUNCT
cana-5533	360	55	293	293	NUM
cana-5533	360	56	,	,	PUNCT
cana-5533	360	57	88	88	NUM
cana-5533	360	58	,	,	PUNCT
cana-5533	360	59	247	247	NUM
cana-5533	360	60	,	,	PUNCT
cana-5533	360	61	28	28	NUM
cana-5533	360	62	,	,	PUNCT
cana-5533	360	63	143	143	NUM
cana-5533	360	64	,	,	PUNCT
cana-5533	360	65	300	300	NUM
cana-5533	360	66	,	,	PUNCT
cana-5533	360	67	23	23	NUM
cana-5533	360	68	,	,	PUNCT
cana-5533	360	69	300	300	NUM
cana-5533	360	70	,	,	PUNCT
cana-5533	360	71	80	80	NUM
cana-5533	360	72	,	,	PUNCT
cana-5533	360	73	245	245	NUM
cana-5533	360	74	,	,	PUNCT
cana-5533	360	75	and	and	CCONJ
cana-5533	360	76	266	266	NUM
cana-5533	360	77	.	.	PUNCT
cana-5533	361	1	we	we	PRON
cana-5533	361	2	evaluate	evaluate	VERB
cana-5533	361	3	the	the	DET
cana-5533	361	4	opm	opm	NOUN
cana-5533	361	5	from	from	ADP
cana-5533	361	6	gamma	gamma	PROPN
cana-5533	361	7	(	(	PUNCT
cana-5533	361	8	ga	ga	PROPN
cana-5533	361	9	)	)	PUNCT
cana-5533	361	10	,	,	PUNCT
cana-5533	361	11	exponential	exponential	NOUN
cana-5533	361	12	(	(	PUNCT
cana-5533	361	13	exp	exp	NOUN
cana-5533	361	14	)	)	PUNCT
cana-5533	361	15	,	,	PUNCT
cana-5533	361	16	lindley	lindley	NOUN
cana-5533	361	17	,	,	PUNCT
cana-5533	361	18	xlindley	xlindley	INTJ
cana-5533	361	19	,	,	PUNCT
cana-5533	361	20	new	new	ADJ
cana-5533	361	21	xlindley	xlindley	NOUN
cana-5533	361	22	and	and	CCONJ
cana-5533	361	23	shanker	shanker	NOUN
cana-5533	361	24	distributions	distribution	NOUN
cana-5533	361	25	for	for	ADP
cana-5533	361	26	this	this	DET
cana-5533	361	27	data	datum	NOUN
cana-5533	361	28	.	.	PUNCT
cana-5533	362	1	information	information	NOUN
cana-5533	362	2	of	of	ADP
cana-5533	362	3	p.d.f	p.d.f	NOUN
cana-5533	362	4	about	about	ADP
cana-5533	362	5	competitor	competitor	NOUN
cana-5533	362	6	models	model	NOUN
cana-5533	362	7	is	be	AUX
cana-5533	362	8	provided	provide	VERB
cana-5533	362	9	as	as	SCONJ
cana-5533	362	10	follows	follow	VERB
cana-5533	362	11	:	:	PUNCT
cana-5533	362	12	𝑔𝐺𝑎(𝑥	𝑔𝐺𝑎(𝑥	NUM
cana-5533	362	13	)	)	PUNCT
cana-5533	363	1	=	=	SYM
cana-5533	363	2	1	1	NUM
cana-5533	363	3	𝜃𝛼𝛤(𝛼	𝜃𝛼𝛤(𝛼	NOUN
cana-5533	363	4	)	)	PUNCT
cana-5533	363	5	𝑥𝛼−1𝑒𝑥𝑝	𝑥𝛼−1𝑒𝑥𝑝	PROPN
cana-5533	363	6	(	(	PUNCT
cana-5533	363	7	−𝑥	−𝑥	NOUN
cana-5533	363	8	𝜃	𝜃	NOUN
cana-5533	363	9	)	)	PUNCT
cana-5533	363	10	,	,	PUNCT
cana-5533	363	11	𝑥	𝑥	X
cana-5533	363	12	,	,	PUNCT
cana-5533	363	13	𝛼	𝛼	PROPN
cana-5533	363	14	,	,	PUNCT
cana-5533	363	15	𝜃	𝜃	X
cana-5533	363	16	>	>	X
cana-5533	363	17	0	0	PUNCT
cana-5533	363	18	𝑔𝐸𝑥𝑝(𝑥	𝑔𝐸𝑥𝑝(𝑥	NOUN
cana-5533	363	19	)	)	PUNCT
cana-5533	363	20	=	=	PUNCT
cana-5533	363	21	𝜃𝑒𝑥𝑝(−𝜃𝑥	𝜃𝑒𝑥𝑝(−𝜃𝑥	NOUN
cana-5533	363	22	)	)	PUNCT
cana-5533	363	23	,	,	PUNCT
cana-5533	363	24	𝑥	𝑥	X
cana-5533	363	25	,	,	PUNCT
cana-5533	363	26	𝜃	𝜃	X
cana-5533	363	27	>	>	X
cana-5533	363	28	0	0	NUM
cana-5533	363	29	𝑔𝐿𝑖𝑛𝑑𝑙𝑒𝑦(𝑥	𝑔𝐿𝑖𝑛𝑑𝑙𝑒𝑦(𝑥	NUM
cana-5533	363	30	)	)	PUNCT
cana-5533	364	1	=	=	VERB
cana-5533	364	2	𝜃2	𝜃2	NOUN
cana-5533	364	3	(	(	PUNCT
cana-5533	364	4	1	1	NUM
cana-5533	364	5	+	+	NUM
cana-5533	364	6	𝜃)2	𝜃)2	VERB
cana-5533	364	7	(	(	PUNCT
cana-5533	364	8	1	1	NUM
cana-5533	364	9	+	+	NUM
cana-5533	364	10	𝑥	𝑥	NOUN
cana-5533	364	11	)	)	PUNCT
cana-5533	364	12	𝑒𝑥𝑝(−𝜃𝑥	𝑒𝑥𝑝(−𝜃𝑥	NOUN
cana-5533	364	13	)	)	PUNCT
cana-5533	364	14	,	,	PUNCT
cana-5533	364	15	𝑥	𝑥	X
cana-5533	364	16	,	,	PUNCT
cana-5533	364	17	𝜃	𝜃	X
cana-5533	364	18	>	>	X
cana-5533	364	19	0	0	NUM
cana-5533	364	20	𝑔𝑆ℎ𝑎𝑛𝑘𝑒𝑟(𝑥	𝑔𝑆ℎ𝑎𝑛𝑘𝑒𝑟(𝑥	NUM
cana-5533	364	21	)	)	PUNCT
cana-5533	364	22	=	=	NOUN
cana-5533	364	23	𝜃2	𝜃2	VERB
cana-5533	364	24	𝜃2	𝜃2	NOUN
cana-5533	364	25	+	+	NOUN
cana-5533	364	26	1	1	NUM
cana-5533	364	27	(	(	PUNCT
cana-5533	364	28	𝜃	𝜃	NOUN
cana-5533	364	29	+	+	NUM
cana-5533	364	30	𝑥	𝑥	NOUN
cana-5533	364	31	)	)	PUNCT
cana-5533	364	32	𝑒𝑥𝑝(−𝜃𝑥	𝑒𝑥𝑝(−𝜃𝑥	NOUN
cana-5533	364	33	)	)	PUNCT
cana-5533	364	34	,	,	PUNCT
cana-5533	364	35	𝑥	𝑥	X
cana-5533	364	36	,	,	PUNCT
cana-5533	364	37	𝜃	𝜃	X
cana-5533	364	38	>	>	X
cana-5533	364	39	0	0	NUM
cana-5533	364	40	𝑔𝑁𝑋𝐿𝑖𝑛𝑑𝑙𝑒𝑦(𝑥	𝑔𝑁𝑋𝐿𝑖𝑛𝑑𝑙𝑒𝑦(𝑥	PROPN
cana-5533	364	41	)	)	PUNCT
cana-5533	364	42	=	=	PUNCT
cana-5533	365	1	𝜃	𝜃	PRON
cana-5533	365	2	2	2	NUM
cana-5533	365	3	(	(	PUNCT
cana-5533	365	4	1	1	NUM
cana-5533	365	5	+	+	CCONJ
cana-5533	365	6	𝜃𝑥	𝜃𝑥	ADJ
cana-5533	365	7	)	)	PUNCT
cana-5533	365	8	𝑒𝑥𝑝(−𝜃𝑥	𝑒𝑥𝑝(−𝜃𝑥	NOUN
cana-5533	365	9	)	)	PUNCT
cana-5533	365	10	,	,	PUNCT
cana-5533	365	11	𝑥	𝑥	X
cana-5533	365	12	,	,	PUNCT
cana-5533	365	13	𝜃	𝜃	X
cana-5533	365	14	>	>	X
cana-5533	365	15	0	0	NUM
cana-5533	365	16	𝑔𝑋𝐿𝑖𝑛𝑑𝑙𝑒𝑦(𝑥	𝑔𝑋𝐿𝑖𝑛𝑑𝑙𝑒𝑦(𝑥	PROPN
cana-5533	365	17	)	)	PUNCT
cana-5533	365	18	=	=	PUNCT
cana-5533	365	19	𝜃2	𝜃2	NOUN
cana-5533	365	20	(	(	PUNCT
cana-5533	365	21	1	1	NUM
cana-5533	365	22	+	+	NUM
cana-5533	365	23	𝜃)2	𝜃)2	NOUN
cana-5533	365	24	(	(	PUNCT
cana-5533	365	25	2	2	NUM
cana-5533	365	26	+	+	SYM
cana-5533	365	27	𝜃	𝜃	NOUN
cana-5533	365	28	+	+	NUM
cana-5533	365	29	𝑥	𝑥	NOUN
cana-5533	365	30	)	)	PUNCT
cana-5533	365	31	𝑒𝑥𝑝(−𝜃𝑥	𝑒𝑥𝑝(−𝜃𝑥	NOUN
cana-5533	365	32	)	)	PUNCT
cana-5533	365	33	,	,	PUNCT
cana-5533	365	34	𝑥	𝑥	X
cana-5533	365	35	,	,	PUNCT
cana-5533	365	36	𝜃	𝜃	X
cana-5533	365	37	>	>	X
cana-5533	365	38	0	0	NUM
cana-5533	365	39	table	table	NOUN
cana-5533	365	40	13	13	NUM
cana-5533	365	41	.	.	PUNCT
cana-5533	366	1	goodness	goodness	NOUN
cana-5533	366	2	of	of	ADP
cana-5533	366	3	fit	fit	ADJ
cana-5533	366	4	statistics	statistic	NOUN
cana-5533	366	5	of	of	ADP
cana-5533	366	6	opm	opm	PROPN
cana-5533	366	7	model	model	NOUN
cana-5533	366	8	𝑝𝑎𝑟	𝑝𝑎𝑟	PROPN
cana-5533	366	9	𝐴𝐼𝐶	𝐴𝐼𝐶	PROPN
cana-5533	366	10	𝐵𝐼𝐶	𝐵𝐼𝐶	PROPN
cana-5533	366	11	−𝐿	−𝐿	NOUN
cana-5533	366	12	𝐴𝐶𝐼𝐶	𝐴𝐶𝐼𝐶	PROPN
cana-5533	366	13	ks	ks	PROPN
cana-5533	366	14	(	(	PUNCT
cana-5533	366	15	ks	ks	NOUN
cana-5533	366	16	pvalue	pvalue	NOUN
cana-5533	366	17	)	)	PUNCT
cana-5533	367	1	𝐿𝑖𝑛𝑑𝑙𝑒𝑦	𝐿𝑖𝑛𝑑𝑙𝑒𝑦	NOUN
cana-5533	367	2	0.0112	0.0112	NUM
cana-5533	367	3	376.9248	376.9248	NUM
cana-5533	367	4	378.3260	378.3260	NUM
cana-5533	367	5	187.4624	187.4624	NUM
cana-5533	367	6	377.0677	377.0677	NUM
cana-5533	367	7	0.229(0.085	0.229(0.085	ADJ
cana-5533	367	8	)	)	PUNCT
cana-5533	367	9	xxlindley	xxlindley	NOUN
cana-5533	368	1	0.0014	0.0014	NUM
cana-5533	368	2	376.1434	376.1434	NUM
cana-5533	368	3	377.5446	377.5446	NUM
cana-5533	368	4	187.0717	187.0717	NUM
cana-5533	368	5	376.2862	376.2862	NUM
cana-5533	368	6	0.228(0.087	0.228(0.087	NUM
cana-5533	368	7	)	)	PUNCT
cana-5533	368	8	𝑛𝑒𝑤	𝑛𝑒𝑤	NOUN
cana-5533	369	1	𝑋𝐿𝑖𝑛𝑑𝑙𝑒𝑦	𝑋𝐿𝑖𝑛𝑑𝑙𝑒𝑦	PROPN
cana-5533	369	2	0.0087	0.0087	NUM
cana-5533	369	3	370.2716	370.2716	NUM
cana-5533	369	4	371.6728	371.6728	NUM
cana-5533	369	5	184.1358	184.1358	NUM
cana-5533	369	6	370.4144	370.4144	NUM
cana-5533	369	7	0.215(0.124	0.215(0.124	NOUN
cana-5533	369	8	)	)	PUNCT
cana-5533	369	9	gamma	gamma	NOUN
cana-5533	369	10	0.0067	0.0067	NUM
cana-5533	369	11	1.1896	1.1896	NUM
cana-5533	369	12	374.0413	374.0413	NUM
cana-5533	369	13	376.8437	376.8437	NUM
cana-5533	369	14	185.0207	185.0207	NUM
cana-5533	369	15	374.4858	374.4858	NUM
cana-5533	369	16	0.217(0.118	0.217(0.118	NOUN
cana-5533	369	17	)	)	PUNCT
cana-5533	370	1	𝑒𝑥𝑝	𝑒𝑥𝑝	CCONJ
cana-5533	370	2	1.1896	1.1896	NUM
cana-5533	370	3	372.5803	372.5803	NUM
cana-5533	370	4	373.9815	373.9815	NUM
cana-5533	370	5	185.2901	185.2901	NUM
cana-5533	370	6	372.7231	372.7231	NUM
cana-5533	370	7	0.216(0.121	0.216(0.121	NUM
cana-5533	370	8	)	)	PUNCT
cana-5533	370	9	shanker	shanker	NOUN
cana-5533	370	10	0.0113	0.0113	NUM
cana-5533	370	11	377.9493	377.9493	NUM
cana-5533	370	12	379.3505	379.3505	NUM
cana-5533	370	13	187.9747	187.9747	NUM
cana-5533	370	14	378.0922	378.0922	NUM
cana-5533	370	15	0.230(0.083	0.230(0.083	NOUN
cana-5533	370	16	)	)	PUNCT
cana-5533	370	17	opm	opm	PROPN
cana-5533	370	18	0.0094	0.0094	NUM
cana-5533	370	19	370.1214	370.1214	NUM
cana-5533	370	20	371.5225	371.5225	NUM
cana-5533	370	21	368.1214	368.1214	NUM
cana-5533	370	22	370.2642	370.2642	NUM
cana-5533	370	23	0.210(0.128	0.210(0.128	NOUN
cana-5533	370	24	)	)	PUNCT
cana-5533	370	25	communications	communication	NOUN
cana-5533	370	26	on	on	ADP
cana-5533	370	27	applied	apply	VERB
cana-5533	370	28	nonlinear	nonlinear	ADJ
cana-5533	370	29	analysis	analysis	NOUN
cana-5533	370	30	issn	issn	NOUN
cana-5533	370	31	:	:	PUNCT
cana-5533	370	32	1074	1074	NUM
cana-5533	370	33	-	-	PUNCT
cana-5533	370	34	133x	133x	NUM
cana-5533	370	35	vol	vol	VERB
cana-5533	370	36	32	32	NUM
cana-5533	370	37	no	no	NOUN
cana-5533	370	38	.	.	PUNCT
cana-5533	371	1	10s	10	NOUN
cana-5533	371	2	(	(	PUNCT
cana-5533	371	3	2025	2025	NUM
cana-5533	371	4	)	)	PUNCT
cana-5533	371	5	2570	2570	NUM
cana-5533	371	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-5533	371	7	the	the	DET
cana-5533	371	8	values	value	NOUN
cana-5533	371	9	of	of	ADP
cana-5533	371	10	𝐴𝐼𝐶	𝐴𝐼𝐶	PROPN
cana-5533	371	11	,	,	PUNCT
cana-5533	371	12	𝐵𝐼𝐶	𝐵𝐼𝐶	PROPN
cana-5533	371	13	,	,	PUNCT
cana-5533	371	14	−2𝑙𝑜𝑔𝐿	−2𝑙𝑜𝑔𝐿	NOUN
cana-5533	371	15	,	,	PUNCT
cana-5533	371	16	𝐾-𝑆	𝐾-𝑆	PROPN
cana-5533	371	17	statistics	statistic	NOUN
cana-5533	371	18	in	in	ADP
cana-5533	371	19	table	table	NOUN
cana-5533	371	20	13	13	NUM
cana-5533	371	21	,	,	PUNCT
cana-5533	371	22	indicate	indicate	VERB
cana-5533	371	23	that	that	SCONJ
cana-5533	371	24	opm	opm	PROPN
cana-5533	371	25	is	be	AUX
cana-5533	371	26	a	a	DET
cana-5533	371	27	strong	strong	ADJ
cana-5533	371	28	competitor	competitor	NOUN
cana-5533	371	29	to	to	ADP
cana-5533	371	30	the	the	DET
cana-5533	371	31	other	other	ADJ
cana-5533	371	32	distributions	distribution	NOUN
cana-5533	371	33	commonly	commonly	ADV
cana-5533	371	34	used	use	VERB
cana-5533	371	35	in	in	ADP
cana-5533	371	36	literature	literature	NOUN
cana-5533	371	37	for	for	ADP
cana-5533	371	38	fitting	fitting	ADJ
cana-5533	371	39	lifetime	lifetime	NOUN
cana-5533	371	40	data	datum	NOUN
cana-5533	371	41	,	,	PUNCT
cana-5533	371	42	moreover	moreover	ADV
cana-5533	371	43	the	the	DET
cana-5533	371	44	best	good	ADJ
cana-5533	371	45	fit	fit	NOUN
cana-5533	371	46	measured	measure	VERB
cana-5533	371	47	the	the	DET
cana-5533	371	48	previous	previous	ADJ
cana-5533	371	49	goodness	goodness	NOUN
cana-5533	371	50	of	of	ADP
cana-5533	371	51	fit	fit	ADJ
cana-5533	371	52	statistics	statistic	NOUN
cana-5533	371	53	.	.	PUNCT
cana-5533	372	1	conclusion	conclusion	NOUN
cana-5533	372	2	and	and	CCONJ
cana-5533	372	3	perspectives	perspective	NOUN
cana-5533	372	4	in	in	ADP
cana-5533	372	5	this	this	DET
cana-5533	372	6	study	study	NOUN
cana-5533	372	7	,	,	PUNCT
cana-5533	372	8	we	we	PRON
cana-5533	372	9	introduced	introduce	VERB
cana-5533	372	10	and	and	CCONJ
cana-5533	372	11	thoroughly	thoroughly	ADV
cana-5533	372	12	analyzed	analyze	VERB
cana-5533	372	13	a	a	DET
cana-5533	372	14	novel	novel	ADJ
cana-5533	372	15	one	one	NUM
cana-5533	372	16	-	-	PUNCT
cana-5533	372	17	parameter	parameter	NOUN
cana-5533	372	18	probability	probability	NOUN
cana-5533	372	19	distribution	distribution	NOUN
cana-5533	372	20	tailored	tailor	VERB
cana-5533	372	21	for	for	ADP
cana-5533	372	22	applications	application	NOUN
cana-5533	372	23	in	in	ADP
cana-5533	372	24	reliability	reliability	NOUN
cana-5533	372	25	analysis	analysis	NOUN
cana-5533	372	26	and	and	CCONJ
cana-5533	372	27	lifetime	lifetime	NOUN
cana-5533	372	28	modeling	modeling	NOUN
cana-5533	372	29	.	.	PUNCT
cana-5533	373	1	through	through	ADP
cana-5533	373	2	rigorous	rigorous	ADJ
cana-5533	373	3	mathematical	mathematical	ADJ
cana-5533	373	4	derivations	derivation	NOUN
cana-5533	373	5	,	,	PUNCT
cana-5533	373	6	we	we	PRON
cana-5533	373	7	established	establish	VERB
cana-5533	373	8	several	several	ADJ
cana-5533	373	9	statistical	statistical	ADJ
cana-5533	373	10	properties	property	NOUN
cana-5533	373	11	of	of	ADP
cana-5533	373	12	the	the	DET
cana-5533	373	13	proposed	propose	VERB
cana-5533	373	14	model	model	NOUN
cana-5533	373	15	,	,	PUNCT
cana-5533	373	16	confirming	confirm	VERB
cana-5533	373	17	its	its	PRON
cana-5533	373	18	flexibility	flexibility	NOUN
cana-5533	373	19	and	and	CCONJ
cana-5533	373	20	suitability	suitability	NOUN
cana-5533	373	21	for	for	ADP
cana-5533	373	22	voltage	voltage	NOUN
cana-5533	373	23	data	datum	NOUN
cana-5533	373	24	set	set	VERB
cana-5533	373	25	.	.	PUNCT
cana-5533	374	1	the	the	DET
cana-5533	374	2	integration	integration	NOUN
cana-5533	374	3	of	of	ADP
cana-5533	374	4	fuzzy	fuzzy	ADJ
cana-5533	374	5	reliability	reliability	NOUN
cana-5533	374	6	analysis	analysis	NOUN
cana-5533	374	7	provided	provide	VERB
cana-5533	374	8	a	a	DET
cana-5533	374	9	powerful	powerful	ADJ
cana-5533	374	10	framework	framework	NOUN
cana-5533	374	11	for	for	ADP
cana-5533	374	12	modeling	model	VERB
cana-5533	374	13	uncertainty	uncertainty	NOUN
cana-5533	374	14	in	in	ADP
cana-5533	374	15	failure	failure	NOUN
cana-5533	374	16	data	datum	NOUN
cana-5533	374	17	,	,	PUNCT
cana-5533	374	18	offering	offer	VERB
cana-5533	374	19	more	more	ADV
cana-5533	374	20	realistic	realistic	ADJ
cana-5533	374	21	and	and	CCONJ
cana-5533	374	22	adaptable	adaptable	ADJ
cana-5533	374	23	insights	insight	NOUN
cana-5533	374	24	compared	compare	VERB
cana-5533	374	25	to	to	ADP
cana-5533	374	26	traditional	traditional	ADJ
cana-5533	374	27	crisp	crisp	ADJ
cana-5533	374	28	reliability	reliability	NOUN
cana-5533	374	29	measures	measure	NOUN
cana-5533	374	30	.	.	PUNCT
cana-5533	375	1	this	this	PRON
cana-5533	375	2	is	be	AUX
cana-5533	375	3	particularly	particularly	ADV
cana-5533	375	4	beneficial	beneficial	ADJ
cana-5533	375	5	in	in	ADP
cana-5533	375	6	engineering	engineering	NOUN
cana-5533	375	7	and	and	CCONJ
cana-5533	375	8	medical	medical	ADJ
cana-5533	375	9	applications	application	NOUN
cana-5533	375	10	where	where	SCONJ
cana-5533	375	11	imprecise	imprecise	ADV
cana-5533	375	12	or	or	CCONJ
cana-5533	375	13	expert	expert	NOUN
cana-5533	375	14	-	-	PUNCT
cana-5533	375	15	based	base	VERB
cana-5533	375	16	information	information	NOUN
cana-5533	375	17	is	be	AUX
cana-5533	375	18	common	common	ADJ
cana-5533	375	19	.	.	PUNCT
cana-5533	376	1	furthermore	furthermore	ADV
cana-5533	376	2	,	,	PUNCT
cana-5533	376	3	the	the	DET
cana-5533	376	4	application	application	NOUN
cana-5533	376	5	of	of	ADP
cana-5533	376	6	bayesian	bayesian	NOUN
cana-5533	376	7	estimation	estimation	NOUN
cana-5533	376	8	techniques	technique	NOUN
cana-5533	376	9	under	under	ADP
cana-5533	376	10	different	different	ADJ
cana-5533	376	11	prior	prior	ADJ
cana-5533	376	12	assumptions	assumption	NOUN
cana-5533	376	13	and	and	CCONJ
cana-5533	376	14	loss	loss	NOUN
cana-5533	376	15	functions	function	NOUN
cana-5533	376	16	demonstrated	demonstrate	VERB
cana-5533	376	17	the	the	DET
cana-5533	376	18	robustness	robustness	NOUN
cana-5533	376	19	of	of	ADP
cana-5533	376	20	the	the	DET
cana-5533	376	21	model	model	NOUN
cana-5533	376	22	’s	’s	PART
cana-5533	376	23	parameter	parameter	PROPN
cana-5533	376	24	inference	inference	PROPN
cana-5533	376	25	.	.	PUNCT
cana-5533	377	1	the	the	DET
cana-5533	377	2	bayesian	bayesian	NOUN
cana-5533	377	3	framework	framework	NOUN
cana-5533	377	4	not	not	PART
cana-5533	377	5	only	only	ADV
cana-5533	377	6	accommodated	accommodate	VERB
cana-5533	377	7	prior	prior	ADJ
cana-5533	377	8	knowledge	knowledge	NOUN
cana-5533	377	9	but	but	CCONJ
cana-5533	377	10	also	also	ADV
cana-5533	377	11	yielded	yield	VERB
cana-5533	377	12	more	more	ADV
cana-5533	377	13	informative	informative	ADJ
cana-5533	377	14	posterior	posterior	ADJ
cana-5533	377	15	distributions	distribution	NOUN
cana-5533	377	16	,	,	PUNCT
cana-5533	377	17	especially	especially	ADV
cana-5533	377	18	in	in	ADP
cana-5533	377	19	small	small	ADJ
cana-5533	377	20	-	-	PUNCT
cana-5533	377	21	sample	sample	NOUN
cana-5533	377	22	or	or	CCONJ
cana-5533	377	23	noisy	noisy	ADJ
cana-5533	377	24	environments	environment	NOUN
cana-5533	377	25	.	.	PUNCT
cana-5533	378	1	a	a	DET
cana-5533	378	2	comprehensive	comprehensive	ADJ
cana-5533	378	3	goodness	goodness	NOUN
cana-5533	378	4	-	-	PUNCT
cana-5533	378	5	of	of	ADP
cana-5533	378	6	-	-	PUNCT
cana-5533	378	7	fit	fit	NOUN
cana-5533	378	8	analysis	analysis	NOUN
cana-5533	378	9	and	and	CCONJ
cana-5533	378	10	simulation	simulation	NOUN
cana-5533	378	11	study	study	NOUN
cana-5533	378	12	confirmed	confirm	VERB
cana-5533	378	13	the	the	DET
cana-5533	378	14	model	model	NOUN
cana-5533	378	15	's	's	PART
cana-5533	378	16	empirical	empirical	ADJ
cana-5533	378	17	validity	validity	NOUN
cana-5533	378	18	and	and	CCONJ
cana-5533	378	19	estimation	estimation	NOUN
cana-5533	378	20	accuracy	accuracy	NOUN
cana-5533	378	21	.	.	PUNCT
cana-5533	379	1	the	the	DET
cana-5533	379	2	results	result	NOUN
cana-5533	379	3	indicated	indicate	VERB
cana-5533	379	4	superior	superior	ADJ
cana-5533	379	5	performance	performance	NOUN
cana-5533	379	6	compared	compare	VERB
cana-5533	379	7	to	to	ADP
cana-5533	379	8	benchmark	benchmark	NOUN
cana-5533	379	9	distributions	distribution	NOUN
cana-5533	379	10	in	in	ADP
cana-5533	379	11	terms	term	NOUN
cana-5533	379	12	of	of	ADP
cana-5533	379	13	fitting	fitting	ADJ
cana-5533	379	14	capability	capability	NOUN
cana-5533	379	15	and	and	CCONJ
cana-5533	379	16	parameter	parameter	NOUN
cana-5533	379	17	estimation	estimation	NOUN
cana-5533	379	18	precision	precision	NOUN
cana-5533	379	19	.	.	PUNCT
cana-5533	380	1	looking	look	VERB
cana-5533	380	2	ahead	ahead	ADV
cana-5533	380	3	,	,	PUNCT
cana-5533	380	4	several	several	ADJ
cana-5533	380	5	avenues	avenue	NOUN
cana-5533	380	6	for	for	ADP
cana-5533	380	7	future	future	ADJ
cana-5533	380	8	research	research	NOUN
cana-5533	380	9	can	can	AUX
cana-5533	380	10	be	be	AUX
cana-5533	380	11	considered	consider	VERB
cana-5533	380	12	.	.	PUNCT
cana-5533	381	1	first	first	ADV
cana-5533	381	2	,	,	PUNCT
cana-5533	381	3	extending	extend	VERB
cana-5533	381	4	the	the	DET
cana-5533	381	5	model	model	NOUN
cana-5533	381	6	to	to	ADP
cana-5533	381	7	a	a	DET
cana-5533	381	8	two	two	NUM
cana-5533	381	9	-	-	PUNCT
cana-5533	381	10	parameter	parameter	NOUN
cana-5533	381	11	or	or	CCONJ
cana-5533	381	12	composite	composite	ADJ
cana-5533	381	13	form	form	NOUN
cana-5533	381	14	may	may	AUX
cana-5533	381	15	enhance	enhance	VERB
cana-5533	381	16	its	its	PRON
cana-5533	381	17	flexibility	flexibility	NOUN
cana-5533	381	18	to	to	PART
cana-5533	381	19	capture	capture	VERB
cana-5533	381	20	more	more	ADV
cana-5533	381	21	complex	complex	ADJ
cana-5533	381	22	data	datum	NOUN
cana-5533	381	23	behaviors	behavior	NOUN
cana-5533	381	24	.	.	PUNCT
cana-5533	382	1	second	second	ADV
cana-5533	382	2	,	,	PUNCT
cana-5533	382	3	incorporating	incorporate	VERB
cana-5533	382	4	real	real	ADJ
cana-5533	382	5	-	-	PUNCT
cana-5533	382	6	world	world	NOUN
cana-5533	382	7	datasets	dataset	NOUN
cana-5533	382	8	from	from	ADP
cana-5533	382	9	diverse	diverse	ADJ
cana-5533	382	10	fields	field	NOUN
cana-5533	382	11	such	such	ADJ
cana-5533	382	12	as	as	ADP
cana-5533	382	13	biostatistics	biostatistic	NOUN
cana-5533	382	14	,	,	PUNCT
cana-5533	382	15	reliability	reliability	NOUN
cana-5533	382	16	engineering	engineering	NOUN
cana-5533	382	17	,	,	PUNCT
cana-5533	382	18	and	and	CCONJ
cana-5533	382	19	environmental	environmental	ADJ
cana-5533	382	20	science	science	NOUN
cana-5533	382	21	could	could	AUX
cana-5533	382	22	further	far	ADV
cana-5533	382	23	validate	validate	VERB
cana-5533	382	24	its	its	PRON
cana-5533	382	25	applicability	applicability	NOUN
cana-5533	382	26	.	.	PUNCT
cana-5533	383	1	lastly	lastly	ADV
cana-5533	383	2	,	,	PUNCT
cana-5533	383	3	the	the	DET
cana-5533	383	4	development	development	NOUN
cana-5533	383	5	of	of	ADP
cana-5533	383	6	computational	computational	ADJ
cana-5533	383	7	tools	tool	NOUN
cana-5533	383	8	and	and	CCONJ
cana-5533	383	9	software	software	NOUN
cana-5533	383	10	packages	package	NOUN
cana-5533	383	11	for	for	ADP
cana-5533	383	12	implementing	implement	VERB
cana-5533	383	13	fuzzy	fuzzy	ADJ
cana-5533	383	14	reliability	reliability	NOUN
cana-5533	383	15	and	and	CCONJ
cana-5533	383	16	bayesian	bayesian	NOUN
cana-5533	383	17	estimation	estimation	NOUN
cana-5533	383	18	methods	method	NOUN
cana-5533	383	19	would	would	AUX
cana-5533	383	20	make	make	VERB
cana-5533	383	21	the	the	DET
cana-5533	383	22	proposed	propose	VERB
cana-5533	383	23	framework	framework	NOUN
cana-5533	383	24	more	more	ADV
cana-5533	383	25	accessible	accessible	ADJ
cana-5533	383	26	to	to	ADP
cana-5533	383	27	practitioners	practitioner	NOUN
cana-5533	383	28	and	and	CCONJ
cana-5533	383	29	researchers	researcher	NOUN
cana-5533	383	30	alike	alike	ADV
cana-5533	383	31	.	.	PUNCT
cana-5533	384	1	authors	author	NOUN
cana-5533	384	2	contributions	contribution	NOUN
cana-5533	384	3	razika	razika	PROPN
cana-5533	384	4	grine	grine	NOUN
cana-5533	384	5	:	:	PUNCT
cana-5533	384	6	investigation	investigation	NOUN
cana-5533	384	7	;	;	PUNCT
cana-5533	384	8	formal	formal	ADJ
cana-5533	384	9	analysis	analysis	NOUN
cana-5533	384	10	;	;	PUNCT
cana-5533	384	11	methodology	methodology	NOUN
cana-5533	384	12	,	,	PUNCT
cana-5533	384	13	writing	writing	NOUN
cana-5533	384	14	—	—	PUNCT
cana-5533	384	15	original	original	ADJ
cana-5533	384	16	draft	draft	NOUN
cana-5533	384	17	;	;	PUNCT
cana-5533	384	18	simulation	simulation	NOUN
cana-5533	384	19	;	;	PUNCT
cana-5533	384	20	interpretation	interpretation	NOUN
cana-5533	384	21	of	of	ADP
cana-5533	384	22	results	result	NOUN
cana-5533	384	23	;	;	PUNCT
cana-5533	384	24	writing	writing	NOUN
cana-5533	384	25	—	—	PUNCT
cana-5533	384	26	review	review	NOUN
cana-5533	384	27	and	and	CCONJ
cana-5533	384	28	editing	editing	NOUN
cana-5533	384	29	.	.	PUNCT
cana-5533	385	1	meriem	meriem	PROPN
cana-5533	385	2	bouhadjar	bouhadjar	PROPN
cana-5533	385	3	:	:	PUNCT
cana-5533	385	4	methodology	methodology	NOUN
cana-5533	385	5	,	,	PUNCT
cana-5533	385	6	writing	writing	NOUN
cana-5533	385	7	—	—	PUNCT
cana-5533	385	8	original	original	ADJ
cana-5533	385	9	draft	draft	NOUN
cana-5533	385	10	;	;	PUNCT
cana-5533	385	11	formal	formal	ADJ
cana-5533	385	12	analysis	analysis	NOUN
cana-5533	385	13	;	;	PUNCT
cana-5533	385	14	validation	validation	NOUN
cana-5533	385	15	,	,	PUNCT
cana-5533	385	16	supervision	supervision	NOUN
cana-5533	385	17	.	.	PUNCT
cana-5533	386	1	imene	imene	PROPN
cana-5533	386	2	grabsia	grabsia	ADJ
cana-5533	386	3	:	:	PUNCT
cana-5533	386	4	methodology	methodology	NOUN
cana-5533	386	5	;	;	PUNCT
cana-5533	386	6	software	software	NOUN
cana-5533	386	7	;	;	PUNCT
cana-5533	386	8	application	application	NOUN
cana-5533	386	9	,	,	PUNCT
cana-5533	386	10	comparison	comparison	NOUN
cana-5533	386	11	and	and	CCONJ
cana-5533	386	12	interpretation	interpretation	NOUN
cana-5533	386	13	of	of	ADP
cana-5533	386	14	results	result	NOUN
cana-5533	386	15	.	.	PUNCT
cana-5533	387	1	references	reference	NOUN
cana-5533	387	2	[	[	X
cana-5533	387	3	1	1	NUM
cana-5533	387	4	]	]	X
cana-5533	387	5	bai	bai	PROPN
cana-5533	387	6	,	,	PUNCT
cana-5533	387	7	y.	y.	PROPN
cana-5533	387	8	,	,	PUNCT
cana-5533	387	9	&	&	CCONJ
cana-5533	387	10	wang	wang	PROPN
cana-5533	387	11	,	,	PUNCT
cana-5533	387	12	y.	y.	PROPN
cana-5533	387	13	(	(	PUNCT
cana-5533	387	14	1993	1993	NUM
cana-5533	387	15	)	)	PUNCT
cana-5533	387	16	.	.	PUNCT
cana-5533	388	1	fundamentals	fundamental	NOUN
cana-5533	388	2	of	of	ADP
cana-5533	388	3	structural	structural	ADJ
cana-5533	388	4	dynamics	dynamic	NOUN
cana-5533	388	5	.	.	PUNCT
cana-5533	389	1	wiley	wiley	PROPN
cana-5533	389	2	.	.	PUNCT
cana-5533	390	1	[	[	X
cana-5533	390	2	2	2	NUM
cana-5533	390	3	]	]	PUNCT
cana-5533	390	4	belhamra	belhamra	NOUN
cana-5533	390	5	,	,	PUNCT
cana-5533	390	6	t.	t.	PROPN
cana-5533	390	7	,	,	PUNCT
cana-5533	390	8	zeghdoudi	zeghdoudi	PROPN
cana-5533	390	9	,	,	PUNCT
cana-5533	390	10	h.	h.	PROPN
cana-5533	390	11	,	,	PUNCT
cana-5533	390	12	&	&	CCONJ
cana-5533	390	13	vinoth	vinoth	PROPN
cana-5533	390	14	raman	raman	NOUN
cana-5533	390	15	.	.	PUNCT
cana-5533	391	1	(	(	PUNCT
cana-5533	391	2	2022	2022	NUM
cana-5533	391	3	)	)	PUNCT
cana-5533	391	4	.	.	PUNCT
cana-5533	392	1	a	a	DET
cana-5533	392	2	new	new	ADJ
cana-5533	392	3	compound	compound	NOUN
cana-5533	392	4	exponential	exponential	ADJ
cana-5533	392	5	-	-	PUNCT
cana-5533	392	6	lindley	lindley	NOUN
cana-5533	392	7	distribution	distribution	NOUN
cana-5533	392	8	:	:	PUNCT
cana-5533	392	9	application	application	NOUN
cana-5533	392	10	and	and	CCONJ
cana-5533	392	11	comparison	comparison	NOUN
cana-5533	392	12	.	.	PUNCT
cana-5533	393	1	international	international	ADJ
cana-5533	393	2	journal	journal	NOUN
cana-5533	393	3	of	of	ADP
cana-5533	393	4	agricultural	agricultural	ADJ
cana-5533	393	5	statistics	statistic	NOUN
cana-5533	393	6	,	,	PUNCT
cana-5533	393	7	18(2	18(2	NUM
cana-5533	393	8	)	)	PUNCT
cana-5533	393	9	,	,	PUNCT
cana-5533	393	10	755	755	NUM
cana-5533	393	11	-	-	SYM
cana-5533	393	12	766	766	NUM
cana-5533	393	13	.	.	PUNCT
cana-5533	394	1	[	[	X
cana-5533	394	2	3	3	NUM
cana-5533	394	3	]	]	PUNCT
cana-5533	394	4	bernardo	bernardo	NOUN
cana-5533	394	5	,	,	PUNCT
cana-5533	394	6	j.	j.	PROPN
cana-5533	394	7	m.	m.	PROPN
cana-5533	394	8	,	,	PUNCT
cana-5533	394	9	&	&	CCONJ
cana-5533	394	10	smith	smith	PROPN
cana-5533	394	11	,	,	PUNCT
cana-5533	394	12	a.	a.	PROPN
cana-5533	394	13	f.	f.	PROPN
cana-5533	394	14	m.	m.	PROPN
cana-5533	394	15	(	(	PUNCT
cana-5533	394	16	1994	1994	NUM
cana-5533	394	17	)	)	PUNCT
cana-5533	394	18	.	.	PUNCT
cana-5533	395	1	bayesian	bayesian	NOUN
cana-5533	395	2	theory	theory	NOUN
cana-5533	395	3	.	.	PUNCT
cana-5533	396	1	chichester	chichester	PROPN
cana-5533	396	2	:	:	PUNCT
cana-5533	396	3	john	john	PROPN
cana-5533	396	4	wiley	wiley	PROPN
cana-5533	396	5	&	&	CCONJ
cana-5533	396	6	sons	son	NOUN
cana-5533	396	7	.	.	PUNCT
cana-5533	397	1	communications	communication	NOUN
cana-5533	397	2	on	on	ADP
cana-5533	397	3	applied	apply	VERB
cana-5533	397	4	nonlinear	nonlinear	ADJ
cana-5533	397	5	analysis	analysis	NOUN
cana-5533	397	6	issn	issn	NOUN
cana-5533	397	7	:	:	PUNCT
cana-5533	397	8	1074	1074	NUM
cana-5533	397	9	-	-	PUNCT
cana-5533	397	10	133x	133x	NUM
cana-5533	397	11	vol	vol	VERB
cana-5533	397	12	32	32	NUM
cana-5533	397	13	no	no	NOUN
cana-5533	397	14	.	.	PUNCT
cana-5533	398	1	10s	10	NOUN
cana-5533	398	2	(	(	PUNCT
cana-5533	398	3	2025	2025	NUM
cana-5533	398	4	)	)	PUNCT
cana-5533	398	5	2571	2571	NUM
cana-5533	398	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-5533	399	1	[	[	X
cana-5533	399	2	4	4	NUM
cana-5533	399	3	]	]	PUNCT
cana-5533	399	4	bouchahed	bouchahe	VERB
cana-5533	399	5	,	,	PUNCT
cana-5533	399	6	l.	l.	PROPN
cana-5533	399	7	,	,	PUNCT
cana-5533	399	8	&	&	CCONJ
cana-5533	399	9	zeghdoudi	zeghdoudi	PROPN
cana-5533	399	10	,	,	PUNCT
cana-5533	399	11	h.	h.	PROPN
cana-5533	399	12	(	(	PUNCT
cana-5533	399	13	2018	2018	NUM
cana-5533	399	14	)	)	PUNCT
cana-5533	399	15	.	.	PUNCT
cana-5533	400	1	a	a	DET
cana-5533	400	2	new	new	ADJ
cana-5533	400	3	and	and	CCONJ
cana-5533	400	4	unified	unified	ADJ
cana-5533	400	5	approach	approach	NOUN
cana-5533	400	6	in	in	ADP
cana-5533	400	7	generalizing	generalize	VERB
cana-5533	400	8	the	the	DET
cana-5533	400	9	lindley	lindley	NOUN
cana-5533	400	10	distribution	distribution	NOUN
cana-5533	400	11	with	with	ADP
cana-5533	400	12	applications	application	NOUN
cana-5533	400	13	.	.	PUNCT
cana-5533	401	1	statistics	statistic	NOUN
cana-5533	401	2	,	,	PUNCT
cana-5533	401	3	61(3	61(3	NUM
cana-5533	401	4	)	)	PUNCT
cana-5533	401	5	,	,	PUNCT
cana-5533	401	6	511–528	511–528	NUM
cana-5533	401	7	.	.	PUNCT
cana-5533	402	1	[	[	X
cana-5533	402	2	5	5	NUM
cana-5533	402	3	]	]	X
cana-5533	402	4	bouhadjar	bouhadjar	PROPN
cana-5533	402	5	,	,	PUNCT
cana-5533	402	6	m.	m.	NOUN
cana-5533	402	7	,	,	PUNCT
cana-5533	402	8	gemeay	gemeay	ADJ
cana-5533	402	9	,	,	PUNCT
cana-5533	402	10	a.	a.	NOUN
cana-5533	402	11	m.	m.	NOUN
cana-5533	402	12	,	,	PUNCT
cana-5533	402	13	almetwally	almetwally	ADV
cana-5533	402	14	,	,	PUNCT
cana-5533	402	15	e.	e.	PROPN
cana-5533	402	16	m.	m.	PROPN
cana-5533	402	17	,	,	PUNCT
cana-5533	402	18	zeghdoudi	zeghdoudi	NOUN
cana-5533	402	19	,	,	PUNCT
cana-5533	402	20	h.	h.	PROPN
cana-5533	402	21	,	,	PUNCT
cana-5533	402	22	alshawarbeh	alshawarbeh	PROPN
cana-5533	402	23	,	,	PUNCT
cana-5533	402	24	e.	e.	PROPN
cana-5533	402	25	,	,	PUNCT
cana-5533	402	26	alanazi	alanazi	NOUN
cana-5533	402	27	,	,	PUNCT
cana-5533	402	28	t.	t.	PROPN
cana-5533	402	29	a.	a.	PROPN
cana-5533	402	30	,	,	PUNCT
cana-5533	402	31	el	el	PROPN
cana-5533	402	32	-	-	PROPN
cana-5533	402	33	raouf	raouf	PROPN
cana-5533	402	34	,	,	PUNCT
cana-5533	402	35	m.	m.	NOUN
cana-5533	402	36	m.	m.	PROPN
cana-5533	402	37	a.	a.	PROPN
cana-5533	402	38	,	,	PUNCT
cana-5533	402	39	&	&	CCONJ
cana-5533	402	40	hussam	hussam	PROPN
cana-5533	402	41	,	,	PUNCT
cana-5533	402	42	e.	e.	PROPN
cana-5533	402	43	(	(	PUNCT
cana-5533	402	44	2022	2022	NUM
cana-5533	402	45	)	)	PUNCT
cana-5533	402	46	.	.	PUNCT
cana-5533	403	1	the	the	DET
cana-5533	403	2	power	power	NOUN
cana-5533	403	3	x	x	ADJ
cana-5533	403	4	-	-	ADJ
cana-5533	403	5	lindley	lindley	ADJ
cana-5533	403	6	distribution	distribution	NOUN
cana-5533	403	7	:	:	PUNCT
cana-5533	403	8	statistical	statistical	ADJ
cana-5533	403	9	inference	inference	NOUN
cana-5533	403	10	,	,	PUNCT
cana-5533	403	11	fuzzy	fuzzy	ADJ
cana-5533	403	12	reliability	reliability	NOUN
cana-5533	403	13	,	,	PUNCT
cana-5533	403	14	and	and	CCONJ
cana-5533	403	15	covid-19	covid-19	PROPN
cana-5533	403	16	application	application	NOUN
cana-5533	403	17	.	.	PUNCT
cana-5533	404	1	journal	journal	PROPN
cana-5533	404	2	of	of	ADP
cana-5533	404	3	functional	functional	ADJ
cana-5533	404	4	spaces	space	NOUN
cana-5533	404	5	,	,	PUNCT
cana-5533	404	6	2022	2022	NUM
cana-5533	404	7	,	,	PUNCT
cana-5533	404	8	article	article	NOUN
cana-5533	404	9	i	i	PROPN
cana-5533	404	10	d	d	PROPN
cana-5533	404	11	1521389	1521389	NUM
cana-5533	404	12	,	,	PUNCT
cana-5533	404	13	1	1	NUM
cana-5533	404	14	-	-	SYM
cana-5533	404	15	21	21	NUM
cana-5533	404	16	.	.	PUNCT
cana-5533	405	1	[	[	X
cana-5533	405	2	6	6	NUM
cana-5533	405	3	]	]	PUNCT
cana-5533	405	4	bousseba	bousseba	NOUN
cana-5533	405	5	,	,	PUNCT
cana-5533	405	6	f.	f.	PROPN
cana-5533	405	7	z.	z.	PROPN
cana-5533	405	8	,	,	PUNCT
cana-5533	405	9	zeghdoudi	zeghdoudi	PROPN
cana-5533	405	10	,	,	PUNCT
cana-5533	405	11	h.	h.	PROPN
cana-5533	405	12	,	,	PUNCT
cana-5533	405	13	sapkota	sapkota	PROPN
cana-5533	405	14	,	,	PUNCT
cana-5533	405	15	l.	l.	PROPN
cana-5533	405	16	p.	p.	PROPN
cana-5533	405	17	,	,	PUNCT
cana-5533	405	18	tashkandy	tashkandy	PROPN
cana-5533	405	19	,	,	PUNCT
cana-5533	405	20	y.	y.	PROPN
cana-5533	405	21	a.	a.	PROPN
cana-5533	405	22	,	,	PUNCT
cana-5533	405	23	bakr	bakr	PROPN
cana-5533	405	24	,	,	PUNCT
cana-5533	405	25	m.	m.	PROPN
cana-5533	405	26	e.	e.	PROPN
cana-5533	405	27	,	,	PUNCT
cana-5533	405	28	kumar	kumar	PROPN
cana-5533	405	29	,	,	PUNCT
cana-5533	405	30	a.	a.	PROPN
cana-5533	405	31	,	,	PUNCT
cana-5533	405	32	&	&	CCONJ
cana-5533	405	33	gemeay	gemeay	ADJ
cana-5533	405	34	,	,	PUNCT
cana-5533	405	35	a.	a.	NOUN
cana-5533	405	36	m.	m.	NOUN
cana-5533	405	37	(	(	PUNCT
cana-5533	405	38	2024	2024	NUM
cana-5533	405	39	)	)	PUNCT
cana-5533	405	40	.	.	PUNCT
cana-5533	406	1	novel	novel	VERB
cana-5533	406	2	two	two	NUM
cana-5533	406	3	-	-	PUNCT
cana-5533	406	4	parameter	parameter	NOUN
cana-5533	406	5	quadratic	quadratic	ADJ
cana-5533	406	6	exponential	exponential	ADJ
cana-5533	406	7	distribution	distribution	NOUN
cana-5533	406	8	:	:	PUNCT
cana-5533	407	1	properties	property	NOUN
cana-5533	407	2	,	,	PUNCT
cana-5533	407	3	simulation	simulation	NOUN
cana-5533	407	4	,	,	PUNCT
cana-5533	407	5	and	and	CCONJ
cana-5533	407	6	applications	application	NOUN
cana-5533	407	7	.	.	PUNCT
cana-5533	408	1	heliyon	heliyon	NOUN
cana-5533	408	2	,	,	PUNCT
cana-5533	408	3	10(2	10(2	NUM
cana-5533	408	4	)	)	PUNCT
cana-5533	408	5	,	,	PUNCT
cana-5533	408	6	e02210	e02210	PROPN
cana-5533	408	7	.	.	PUNCT
cana-5533	409	1	[	[	X
cana-5533	409	2	7	7	NUM
cana-5533	409	3	]	]	X
cana-5533	409	4	box	box	NOUN
cana-5533	409	5	,	,	PUNCT
cana-5533	409	6	g.	g.	PROPN
cana-5533	409	7	e.	e.	PROPN
cana-5533	409	8	p.	p.	PROPN
cana-5533	409	9	,	,	PUNCT
cana-5533	409	10	&	&	CCONJ
cana-5533	409	11	tiao	tiao	PROPN
cana-5533	409	12	,	,	PUNCT
cana-5533	409	13	g.	g.	PROPN
cana-5533	409	14	c.	c.	PROPN
cana-5533	409	15	(	(	PUNCT
cana-5533	409	16	1973	1973	NUM
cana-5533	409	17	)	)	PUNCT
cana-5533	409	18	.	.	PUNCT
cana-5533	410	1	bayesian	bayesian	NOUN
cana-5533	410	2	inference	inference	NOUN
cana-5533	410	3	in	in	ADP
cana-5533	410	4	statistical	statistical	ADJ
cana-5533	410	5	analysis	analysis	NOUN
cana-5533	410	6	.	.	PUNCT
cana-5533	411	1	reading	reading	NOUN
cana-5533	411	2	,	,	PUNCT
cana-5533	411	3	ma	ma	PROPN
cana-5533	411	4	:	:	PUNCT
cana-5533	411	5	addison	addison	PROPN
cana-5533	411	6	-	-	PUNCT
cana-5533	411	7	wesley	wesley	PROPN
cana-5533	411	8	.	.	PUNCT
cana-5533	412	1	[	[	X
cana-5533	412	2	8	8	NUM
cana-5533	412	3	]	]	X
cana-5533	412	4	chen	chen	PROPN
cana-5533	412	5	,	,	PUNCT
cana-5533	412	6	g.	g.	PROPN
cana-5533	412	7	,	,	PUNCT
cana-5533	412	8	pham	pham	PROPN
cana-5533	412	9	,	,	PUNCT
cana-5533	412	10	t.	t.	PROPN
cana-5533	412	11	t.	t.	PROPN
cana-5533	412	12	,	,	PUNCT
cana-5533	412	13	&	&	CCONJ
cana-5533	412	14	boustany	boustany	PROPN
cana-5533	412	15	,	,	PUNCT
cana-5533	412	16	n.	n.	PROPN
cana-5533	412	17	(	(	PUNCT
cana-5533	412	18	2001	2001	NUM
cana-5533	412	19	)	)	PUNCT
cana-5533	412	20	.	.	PUNCT
cana-5533	413	1	introduction	introduction	NOUN
cana-5533	413	2	to	to	ADP
cana-5533	413	3	fuzzy	fuzzy	ADJ
cana-5533	413	4	sets	set	NOUN
cana-5533	413	5	,	,	PUNCT
cana-5533	413	6	fuzzy	fuzzy	ADJ
cana-5533	413	7	logic	logic	NOUN
cana-5533	413	8	,	,	PUNCT
cana-5533	413	9	and	and	CCONJ
cana-5533	413	10	fuzzy	fuzzy	ADJ
cana-5533	413	11	control	control	NOUN
cana-5533	413	12	systems	system	NOUN
cana-5533	413	13	.	.	PUNCT
cana-5533	414	1	applied	apply	VERB
cana-5533	414	2	mechanics	mechanic	NOUN
cana-5533	414	3	reviews	review	NOUN
cana-5533	414	4	,	,	PUNCT
cana-5533	414	5	54(6	54(6	NOUN
cana-5533	414	6	)	)	PUNCT
cana-5533	414	7	,	,	PUNCT
cana-5533	414	8	102	102	NUM
cana-5533	414	9	-	-	SYM
cana-5533	414	10	103	103	NUM
cana-5533	414	11	.	.	PUNCT
cana-5533	415	1	[	[	X
cana-5533	415	2	9	9	NUM
cana-5533	415	3	]	]	SYM
cana-5533	415	4	chouia	chouia	NOUN
cana-5533	415	5	,	,	PUNCT
cana-5533	415	6	s.	s.	PROPN
cana-5533	415	7	,	,	PUNCT
cana-5533	415	8	&	&	CCONJ
cana-5533	415	9	zeghdoudi	zeghdoudi	PROPN
cana-5533	415	10	,	,	PUNCT
cana-5533	415	11	h.	h.	PROPN
cana-5533	415	12	(	(	PUNCT
cana-5533	415	13	2021	2021	NUM
cana-5533	415	14	)	)	PUNCT
cana-5533	415	15	.	.	PUNCT
cana-5533	416	1	the	the	DET
cana-5533	416	2	x	x	ADJ
cana-5533	416	3	-	-	ADJ
cana-5533	416	4	lindley	lindley	ADJ
cana-5533	416	5	distribution	distribution	NOUN
cana-5533	416	6	:	:	PUNCT
cana-5533	416	7	properties	property	NOUN
cana-5533	416	8	and	and	CCONJ
cana-5533	416	9	application	application	NOUN
cana-5533	416	10	.	.	PUNCT
cana-5533	417	1	journal	journal	NOUN
cana-5533	417	2	of	of	ADP
cana-5533	417	3	statistical	statistical	ADJ
cana-5533	417	4	theory	theory	NOUN
cana-5533	417	5	and	and	CCONJ
cana-5533	417	6	applications	application	NOUN
cana-5533	417	7	,	,	PUNCT
cana-5533	417	8	20(2	20(2	NUM
cana-5533	417	9	)	)	PUNCT
cana-5533	417	10	,	,	PUNCT
cana-5533	417	11	318–327	318–327	NUM
cana-5533	417	12	.	.	PUNCT
cana-5533	418	1	[	[	X
cana-5533	418	2	10	10	NUM
cana-5533	418	3	]	]	X
cana-5533	418	4	cremona	cremona	PROPN
cana-5533	418	5	,	,	PUNCT
cana-5533	418	6	c.	c.	PROPN
cana-5533	418	7	,	,	PUNCT
cana-5533	418	8	song	song	NOUN
cana-5533	418	9	,	,	PUNCT
cana-5533	418	10	s.	s.	PROPN
cana-5533	418	11	f.	f.	PROPN
cana-5533	418	12	,	,	PUNCT
cana-5533	418	13	&	&	CCONJ
cana-5533	418	14	reuter	reuter	PROPN
cana-5533	418	15	,	,	PUNCT
cana-5533	418	16	u.	u.	PROPN
cana-5533	418	17	(	(	PUNCT
cana-5533	418	18	1997	1997	NUM
cana-5533	418	19	)	)	PUNCT
cana-5533	418	20	.	.	PUNCT
cana-5533	419	1	the	the	DET
cana-5533	419	2	possibilistic	possibilistic	ADJ
cana-5533	419	3	reliability	reliability	NOUN
cana-5533	419	4	theory	theory	NOUN
cana-5533	419	5	:	:	PUNCT
cana-5533	419	6	theoretical	theoretical	ADJ
cana-5533	419	7	aspects	aspect	NOUN
cana-5533	419	8	and	and	CCONJ
cana-5533	419	9	applications	application	NOUN
cana-5533	419	10	.	.	PUNCT
cana-5533	420	1	structural	structural	ADJ
cana-5533	420	2	safety	safety	NOUN
cana-5533	420	3	,	,	PUNCT
cana-5533	420	4	19(2	19(2	NUM
cana-5533	420	5	)	)	PUNCT
cana-5533	420	6	,	,	PUNCT
cana-5533	420	7	75	75	NUM
cana-5533	420	8	-	-	SYM
cana-5533	420	9	99	99	NUM
cana-5533	420	10	.	.	PUNCT
cana-5533	421	1	[	[	X
cana-5533	421	2	11	11	NUM
cana-5533	421	3	]	]	SYM
cana-5533	421	4	drost	drost	NOUN
cana-5533	421	5	,	,	PUNCT
cana-5533	421	6	f.	f.	PROPN
cana-5533	421	7	(	(	PUNCT
cana-5533	421	8	1988	1988	NUM
cana-5533	421	9	)	)	PUNCT
cana-5533	421	10	.	.	PUNCT
cana-5533	422	1	asymptotics	asymptotic	NOUN
cana-5533	422	2	for	for	ADP
cana-5533	422	3	generalized	generalized	ADJ
cana-5533	422	4	chi	chi	NOUN
cana-5533	422	5	-	-	PUNCT
cana-5533	422	6	squared	square	VERB
cana-5533	422	7	goodness	goodness	NOUN
cana-5533	422	8	-	-	PUNCT
cana-5533	422	9	of	of	ADP
cana-5533	422	10	-	-	PUNCT
cana-5533	422	11	fit	fit	NOUN
cana-5533	422	12	tests	test	NOUN
cana-5533	422	13	.	.	PUNCT
cana-5533	423	1	cwi	cwi	NOUN
cana-5533	423	2	tracts	tract	NOUN
cana-5533	423	3	,	,	PUNCT
cana-5533	423	4	48	48	NUM
cana-5533	423	5	.	.	PUNCT
cana-5533	424	1	amsterdam	amsterdam	PROPN
cana-5533	424	2	:	:	PUNCT
cana-5533	424	3	centre	centre	NOUN
cana-5533	424	4	for	for	ADP
cana-5533	424	5	mathematics	mathematics	NOUN
cana-5533	424	6	and	and	CCONJ
cana-5533	424	7	computer	computer	NOUN
cana-5533	424	8	science	science	NOUN
cana-5533	424	9	.	.	PUNCT
cana-5533	425	1	[	[	X
cana-5533	425	2	12	12	NUM
cana-5533	425	3	]	]	X
cana-5533	425	4	finkelstein	finkelstein	PROPN
cana-5533	425	5	,	,	PUNCT
cana-5533	425	6	n.	n.	PROPN
cana-5533	425	7	g.	g.	PROPN
cana-5533	425	8	(	(	PUNCT
cana-5533	425	9	2008	2008	NUM
cana-5533	425	10	)	)	PUNCT
cana-5533	425	11	.	.	PUNCT
cana-5533	426	1	beyond	beyond	ADP
cana-5533	426	2	chutzpah	chutzpah	NOUN
cana-5533	426	3	:	:	PUNCT
cana-5533	426	4	on	on	ADP
cana-5533	426	5	the	the	DET
cana-5533	426	6	misuse	misuse	NOUN
cana-5533	426	7	of	of	ADP
cana-5533	426	8	anti	anti	ADJ
cana-5533	426	9	-	-	NOUN
cana-5533	426	10	semitism	semitism	NOUN
cana-5533	426	11	and	and	CCONJ
cana-5533	426	12	the	the	DET
cana-5533	426	13	abuse	abuse	NOUN
cana-5533	426	14	of	of	ADP
cana-5533	426	15	history	history	NOUN
cana-5533	426	16	.	.	PUNCT
cana-5533	427	1	university	university	PROPN
cana-5533	427	2	of	of	ADP
cana-5533	427	3	california	california	PROPN
cana-5533	427	4	press	press	PROPN
cana-5533	427	5	.	.	PUNCT
cana-5533	428	1	[	[	X
cana-5533	428	2	13	13	NUM
cana-5533	428	3	]	]	SYM
cana-5533	428	4	fuller	full	ADJ
cana-5533	428	5	,	,	PUNCT
cana-5533	428	6	r.	r.	PROPN
cana-5533	428	7	b.	b.	PROPN
cana-5533	428	8	(	(	PUNCT
cana-5533	428	9	1982	1982	NUM
cana-5533	428	10	)	)	PUNCT
cana-5533	428	11	.	.	PUNCT
cana-5533	429	1	critical	critical	ADJ
cana-5533	429	2	path	path	NOUN
cana-5533	429	3	.	.	PUNCT
cana-5533	430	1	st	st	PROPN
cana-5533	430	2	.	.	PROPN
cana-5533	430	3	martin	martin	PROPN
cana-5533	430	4	's	's	PART
cana-5533	430	5	press	press	NOUN
cana-5533	430	6	.	.	PUNCT
cana-5533	431	1	[	[	X
cana-5533	431	2	14	14	NUM
cana-5533	431	3	]	]	X
cana-5533	431	4	grabsia	grabsia	PROPN
cana-5533	431	5	,	,	PUNCT
cana-5533	431	6	i.	i.	PROPN
cana-5533	431	7	,	,	PUNCT
cana-5533	431	8	&	&	CCONJ
cana-5533	431	9	grine	grine	PROPN
cana-5533	431	10	,	,	PUNCT
cana-5533	431	11	r.	r.	PROPN
cana-5533	431	12	(	(	PUNCT
cana-5533	431	13	2025	2025	NUM
cana-5533	431	14	)	)	PUNCT
cana-5533	431	15	.	.	PUNCT
cana-5533	432	1	on	on	ADP
cana-5533	432	2	compound	compound	ADJ
cana-5533	432	3	exponential	exponential	ADJ
cana-5533	432	4	new	new	ADJ
cana-5533	432	5	x	x	ADJ
cana-5533	432	6	-	-	ADJ
cana-5533	432	7	lindley	lindley	ADJ
cana-5533	432	8	distribution	distribution	NOUN
cana-5533	432	9	:	:	PUNCT
cana-5533	432	10	properties	property	NOUN
cana-5533	432	11	,	,	PUNCT
cana-5533	432	12	simulation	simulation	NOUN
cana-5533	432	13	,	,	PUNCT
cana-5533	432	14	fuzzy	fuzzy	ADJ
cana-5533	432	15	reliability	reliability	NOUN
cana-5533	432	16	,	,	PUNCT
cana-5533	432	17	and	and	CCONJ
cana-5533	432	18	application	application	NOUN
cana-5533	432	19	in	in	ADP
cana-5533	432	20	decennial	decennial	ADJ
cana-5533	432	21	census	census	NOUN
cana-5533	432	22	of	of	ADP
cana-5533	432	23	population	population	NOUN
cana-5533	432	24	.	.	PUNCT
cana-5533	433	1	journal	journal	PROPN
cana-5533	433	2	of	of	ADP
cana-5533	433	3	computational	computational	ADJ
cana-5533	433	4	analysis	analysis	NOUN
cana-5533	433	5	and	and	CCONJ
cana-5533	433	6	applications	application	NOUN
cana-5533	433	7	,	,	PUNCT
cana-5533	433	8	34(3	34(3	NUM
cana-5533	433	9	)	)	PUNCT
cana-5533	433	10	,	,	PUNCT
cana-5533	433	11	65	65	NUM
cana-5533	433	12	-	-	SYM
cana-5533	433	13	84	84	NUM
cana-5533	433	14	.	.	PUNCT
cana-5533	434	1	[	[	X
cana-5533	434	2	15	15	NUM
cana-5533	434	3	]	]	X
cana-5533	434	4	greenwood	greenwood	PROPN
cana-5533	434	5	,	,	PUNCT
cana-5533	434	6	p.	p.	PROPN
cana-5533	434	7	s.	s.	PROPN
cana-5533	434	8	,	,	PUNCT
cana-5533	434	9	&	&	CCONJ
cana-5533	434	10	nikulin	nikulin	NOUN
cana-5533	434	11	,	,	PUNCT
cana-5533	434	12	m.	m.	NOUN
cana-5533	434	13	(	(	PUNCT
cana-5533	434	14	1996	1996	NUM
cana-5533	434	15	)	)	PUNCT
cana-5533	434	16	.	.	PUNCT
cana-5533	435	1	a	a	DET
cana-5533	435	2	guide	guide	NOUN
cana-5533	435	3	to	to	ADP
cana-5533	435	4	chi	chi	ADJ
cana-5533	435	5	-	-	PUNCT
cana-5533	435	6	squared	square	VERB
cana-5533	435	7	testing	testing	NOUN
cana-5533	435	8	.	.	PUNCT
cana-5533	436	1	john	john	PROPN
cana-5533	436	2	wiley	wiley	PROPN
cana-5533	436	3	&	&	CCONJ
cana-5533	436	4	sons	son	NOUN
cana-5533	436	5	.	.	PUNCT
cana-5533	437	1	[	[	X
cana-5533	437	2	16	16	NUM
cana-5533	437	3	]	]	X
cana-5533	437	4	gupta	gupta	PROPN
cana-5533	437	5	,	,	PUNCT
cana-5533	437	6	s.	s.	PROPN
cana-5533	437	7	,	,	PUNCT
cana-5533	437	8	lehmann	lehmann	PROPN
cana-5533	437	9	,	,	PUNCT
cana-5533	437	10	d.	d.	PROPN
cana-5533	437	11	r.	r.	PROPN
cana-5533	437	12	,	,	PUNCT
cana-5533	437	13	&	&	CCONJ
cana-5533	437	14	stuart	stuart	PROPN
cana-5533	437	15	,	,	PUNCT
cana-5533	437	16	j.	j.	PROPN
cana-5533	437	17	a.	a.	PROPN
cana-5533	437	18	(	(	PUNCT
cana-5533	437	19	1998	1998	NUM
cana-5533	437	20	)	)	PUNCT
cana-5533	437	21	.	.	PUNCT
cana-5533	438	1	customer	customer	NOUN
cana-5533	438	2	lifetime	lifetime	NOUN
cana-5533	438	3	value	value	NOUN
cana-5533	438	4	prediction	prediction	NOUN
cana-5533	438	5	using	use	VERB
cana-5533	438	6	purchase	purchase	NOUN
cana-5533	438	7	history	history	NOUN
cana-5533	438	8	data	datum	NOUN
cana-5533	438	9	.	.	PUNCT
cana-5533	439	1	journal	journal	NOUN
cana-5533	439	2	of	of	ADP
cana-5533	439	3	marketing	marketing	NOUN
cana-5533	439	4	research	research	NOUN
cana-5533	439	5	,	,	PUNCT
cana-5533	439	6	35(1	35(1	NUM
cana-5533	439	7	)	)	PUNCT
cana-5533	439	8	,	,	PUNCT
cana-5533	439	9	1	1	NUM
cana-5533	439	10	-	-	SYM
cana-5533	439	11	16	16	NUM
cana-5533	439	12	.	.	PUNCT
cana-5533	440	1	[	[	X
cana-5533	440	2	17	17	NUM
cana-5533	440	3	]	]	X
cana-5533	440	4	hsuan	hsuan	PROPN
cana-5533	440	5	,	,	PUNCT
cana-5533	440	6	t.	t.	PROPN
cana-5533	440	7	a.	a.	PROPN
cana-5533	440	8	,	,	PUNCT
cana-5533	440	9	&	&	CCONJ
cana-5533	440	10	robson	robson	PROPN
cana-5533	440	11	,	,	PUNCT
cana-5533	440	12	d.	d.	PROPN
cana-5533	440	13	s.	s.	PROPN
cana-5533	440	14	(	(	PUNCT
cana-5533	440	15	1976	1976	NUM
cana-5533	440	16	)	)	PUNCT
cana-5533	440	17	.	.	PUNCT
cana-5533	441	1	the	the	DET
cana-5533	441	2	χ²	χ²	PROPN
cana-5533	441	3	goodness	goodness	NOUN
cana-5533	441	4	-	-	PUNCT
cana-5533	441	5	of	of	ADP
cana-5533	441	6	-	-	PUNCT
cana-5533	441	7	fit	fit	ADJ
cana-5533	441	8	tests	test	NOUN
cana-5533	441	9	with	with	ADP
cana-5533	441	10	moment	moment	NOUN
cana-5533	441	11	-	-	PUNCT
cana-5533	441	12	type	type	NOUN
cana-5533	441	13	estimator	estimator	NOUN
cana-5533	441	14	.	.	PUNCT
cana-5533	442	1	communications	communication	NOUN
cana-5533	442	2	in	in	ADP
cana-5533	442	3	statistics	statistic	NOUN
cana-5533	442	4	theory	theory	NOUN
cana-5533	442	5	and	and	CCONJ
cana-5533	442	6	methods	method	NOUN
cana-5533	442	7	,	,	PUNCT
cana-5533	442	8	16	16	NUM
cana-5533	442	9	,	,	PUNCT
cana-5533	442	10	1509–1519	1509–1519	NUM
cana-5533	442	11	.	.	PUNCT
cana-5533	443	1	[	[	X
cana-5533	443	2	18	18	NUM
cana-5533	443	3	]	]	X
cana-5533	443	4	khodja	khodja	PROPN
cana-5533	443	5	,	,	PUNCT
cana-5533	443	6	n.	n.	NOUN
cana-5533	443	7	,	,	PUNCT
cana-5533	443	8	gemeay	gemeay	ADJ
cana-5533	443	9	,	,	PUNCT
cana-5533	443	10	a.	a.	NOUN
cana-5533	443	11	m.	m.	NOUN
cana-5533	443	12	,	,	PUNCT
cana-5533	443	13	zeghdoudi	zeghdoudi	NOUN
cana-5533	443	14	,	,	PUNCT
cana-5533	443	15	h.	h.	PROPN
cana-5533	443	16	,	,	PUNCT
cana-5533	443	17	karakaya	karakaya	PROPN
cana-5533	443	18	,	,	PUNCT
cana-5533	443	19	k.	k.	PROPN
cana-5533	443	20	,	,	PUNCT
cana-5533	443	21	alshangiti	alshangiti	PROPN
cana-5533	443	22	,	,	PUNCT
cana-5533	443	23	a.	a.	NOUN
cana-5533	443	24	m.	m.	NOUN
cana-5533	443	25	,	,	PUNCT
cana-5533	443	26	bakr	bakr	PROPN
cana-5533	443	27	,	,	PUNCT
cana-5533	443	28	m.	m.	PROPN
cana-5533	443	29	e.	e.	PROPN
cana-5533	443	30	,	,	PUNCT
cana-5533	443	31	&	&	CCONJ
cana-5533	443	32	hussam	hussam	PROPN
cana-5533	443	33	,	,	PUNCT
cana-5533	443	34	e.	e.	PROPN
cana-5533	443	35	(	(	PUNCT
cana-5533	443	36	2023	2023	NUM
cana-5533	443	37	)	)	PUNCT
cana-5533	443	38	.	.	PUNCT
cana-5533	444	1	modeling	model	VERB
cana-5533	444	2	voltage	voltage	NOUN
cana-5533	444	3	real	real	ADJ
cana-5533	444	4	data	datum	NOUN
cana-5533	444	5	set	set	VERB
cana-5533	444	6	by	by	ADP
cana-5533	444	7	a	a	DET
cana-5533	444	8	new	new	ADJ
cana-5533	444	9	version	version	NOUN
cana-5533	444	10	of	of	ADP
cana-5533	444	11	lindley	lindley	NOUN
cana-5533	444	12	distribution	distribution	NOUN
cana-5533	444	13	.	.	PUNCT
cana-5533	445	1	ieee	ieee	NOUN
cana-5533	445	2	access	access	NOUN
cana-5533	445	3	,	,	PUNCT
cana-5533	445	4	11	11	NUM
cana-5533	445	5	,	,	PUNCT
cana-5533	445	6	67220–67229	67220–67229	NUM
cana-5533	445	7	.	.	PUNCT
cana-5533	446	1	[	[	X
cana-5533	446	2	19	19	NUM
cana-5533	446	3	]	]	SYM
cana-5533	446	4	li	li	PROPN
cana-5533	446	5	,	,	PUNCT
cana-5533	446	6	m.	m.	NOUN
cana-5533	446	7	,	,	PUNCT
cana-5533	446	8	&	&	CCONJ
cana-5533	446	9	pham	pham	PROPN
cana-5533	446	10	,	,	PUNCT
cana-5533	446	11	h.	h.	PROPN
cana-5533	446	12	(	(	PUNCT
cana-5533	446	13	2005	2005	NUM
cana-5533	446	14	)	)	PUNCT
cana-5533	446	15	.	.	PUNCT
cana-5533	447	1	software	software	NOUN
cana-5533	447	2	reliability	reliability	NOUN
cana-5533	447	3	prediction	prediction	NOUN
cana-5533	447	4	using	use	VERB
cana-5533	447	5	support	support	NOUN
cana-5533	447	6	vector	vector	NOUN
cana-5533	447	7	machines	machine	NOUN
cana-5533	447	8	.	.	PUNCT
cana-5533	448	1	in	in	ADP
cana-5533	448	2	2005	2005	NUM
cana-5533	448	3	international	international	ADJ
cana-5533	448	4	conference	conference	NOUN
cana-5533	448	5	on	on	ADP
cana-5533	448	6	quality	quality	NOUN
cana-5533	448	7	software	software	NOUN
cana-5533	448	8	(	(	PUNCT
cana-5533	448	9	qsic'05	qsic'05	NOUN
cana-5533	448	10	)	)	PUNCT
cana-5533	448	11	(	(	PUNCT
cana-5533	448	12	pp	pp	INTJ
cana-5533	448	13	.	.	PUNCT
cana-5533	448	14	85–92	85–92	NUM
cana-5533	448	15	)	)	PUNCT
cana-5533	448	16	.	.	PUNCT
cana-5533	449	1	ieee	ieee	NOUN
cana-5533	449	2	.	.	PUNCT
cana-5533	450	1	[	[	X
cana-5533	450	2	20	20	NUM
cana-5533	450	3	]	]	X
cana-5533	450	4	meeker	meeker	NOUN
cana-5533	450	5	,	,	PUNCT
cana-5533	450	6	w.	w.	PROPN
cana-5533	450	7	q.	q.	PROPN
cana-5533	450	8	,	,	PUNCT
cana-5533	450	9	escobar	escobar	PROPN
cana-5533	450	10	,	,	PUNCT
cana-5533	450	11	l.	l.	PROPN
cana-5533	450	12	a.	a.	PROPN
cana-5533	450	13	,	,	PUNCT
cana-5533	450	14	&	&	CCONJ
cana-5533	450	15	pascual	pascual	PROPN
cana-5533	450	16	,	,	PUNCT
cana-5533	450	17	f.	f.	PROPN
cana-5533	450	18	g.	g.	PROPN
cana-5533	450	19	(	(	PUNCT
cana-5533	450	20	2022	2022	NUM
cana-5533	450	21	)	)	PUNCT
cana-5533	450	22	.	.	PUNCT
cana-5533	451	1	statistical	statistical	ADJ
cana-5533	451	2	methods	method	NOUN
cana-5533	451	3	for	for	ADP
cana-5533	451	4	reliability	reliability	NOUN
cana-5533	451	5	data	datum	NOUN
cana-5533	451	6	.	.	PUNCT
cana-5533	452	1	communications	communication	NOUN
cana-5533	452	2	on	on	ADP
cana-5533	452	3	applied	apply	VERB
cana-5533	452	4	nonlinear	nonlinear	ADJ
cana-5533	452	5	analysis	analysis	NOUN
cana-5533	452	6	issn	issn	NOUN
cana-5533	452	7	:	:	PUNCT
cana-5533	452	8	1074	1074	NUM
cana-5533	452	9	-	-	PUNCT
cana-5533	452	10	133x	133x	NUM
cana-5533	452	11	vol	vol	VERB
cana-5533	452	12	32	32	NUM
cana-5533	452	13	no	no	NOUN
cana-5533	452	14	.	.	PUNCT
cana-5533	453	1	10s	10	NOUN
cana-5533	453	2	(	(	PUNCT
cana-5533	453	3	2025	2025	NUM
cana-5533	453	4	)	)	PUNCT
cana-5533	453	5	2572	2572	NUM
cana-5533	453	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-5533	453	7	john	john	PROPN
cana-5533	453	8	wiley	wiley	PROPN
cana-5533	453	9	&	&	CCONJ
cana-5533	453	10	sons	son	NOUN
cana-5533	453	11	.	.	PUNCT
cana-5533	454	1	[	[	X
cana-5533	454	2	21	21	NUM
cana-5533	454	3	]	]	X
cana-5533	454	4	mirvaliev	mirvaliev	NOUN
cana-5533	454	5	,	,	PUNCT
cana-5533	454	6	m.	m.	NOUN
cana-5533	454	7	(	(	PUNCT
cana-5533	454	8	2001	2001	NUM
cana-5533	454	9	)	)	PUNCT
cana-5533	454	10	.	.	PUNCT
cana-5533	455	1	an	an	DET
cana-5533	455	2	investigation	investigation	NOUN
cana-5533	455	3	of	of	ADP
cana-5533	455	4	generalized	generalized	ADJ
cana-5533	455	5	chi	chi	ADJ
cana-5533	455	6	-	-	PUNCT
cana-5533	455	7	squared	square	VERB
cana-5533	455	8	type	type	NOUN
cana-5533	455	9	statistics	statistic	NOUN
cana-5533	455	10	.	.	PUNCT
cana-5533	456	1	doctoral	doctoral	ADJ
cana-5533	456	2	thesis	thesis	NOUN
cana-5533	456	3	,	,	PUNCT
cana-5533	456	4	academy	academy	NOUN
cana-5533	456	5	of	of	ADP
cana-5533	456	6	science	science	NOUN
cana-5533	456	7	of	of	ADP
cana-5533	456	8	the	the	DET
cana-5533	456	9	republic	republic	NOUN
cana-5533	456	10	of	of	ADP
cana-5533	456	11	uzbekistan	uzbekistan	PROPN
cana-5533	456	12	,	,	PUNCT
cana-5533	456	13	tashkent	tashkent	NOUN
cana-5533	456	14	.	.	PUNCT
cana-5533	457	1	[	[	X
cana-5533	457	2	22	22	NUM
cana-5533	457	3	]	]	SYM
cana-5533	457	4	nikulin	nikulin	NOUN
cana-5533	457	5	,	,	PUNCT
cana-5533	457	6	m.	m.	NOUN
cana-5533	457	7	(	(	PUNCT
cana-5533	457	8	1973a	1973a	NUM
cana-5533	457	9	)	)	PUNCT
cana-5533	457	10	.	.	PUNCT
cana-5533	458	1	chi	chi	ADJ
cana-5533	458	2	-	-	PUNCT
cana-5533	458	3	square	square	ADJ
cana-5533	458	4	test	test	NOUN
cana-5533	458	5	for	for	ADP
cana-5533	458	6	continuous	continuous	ADJ
cana-5533	458	7	distributions	distribution	NOUN
cana-5533	458	8	with	with	ADP
cana-5533	458	9	shift	shift	NOUN
cana-5533	458	10	and	and	CCONJ
cana-5533	458	11	scale	scale	NOUN
cana-5533	458	12	parameters	parameter	NOUN
cana-5533	458	13	.	.	PUNCT
cana-5533	459	1	teor	teor	PROPN
cana-5533	459	2	.	.	PUNCT
cana-5533	459	3	veroyatn	veroyatn	PROPN
cana-5533	459	4	.	.	PUNCT
cana-5533	460	1	primen	priman	NOUN
cana-5533	460	2	.	.	PUNCT
cana-5533	460	3	,	,	PUNCT
cana-5533	460	4	18(3	18(3	NUM
cana-5533	460	5	)	)	PUNCT
cana-5533	460	6	,	,	PUNCT
cana-5533	460	7	559–568	559–568	NUM
cana-5533	460	8	.	.	PUNCT
cana-5533	461	1	[	[	X
cana-5533	461	2	23	23	NUM
cana-5533	461	3	]	]	X
cana-5533	461	4	nikulin	nikulin	NOUN
cana-5533	461	5	,	,	PUNCT
cana-5533	461	6	m.	m.	NOUN
cana-5533	461	7	(	(	PUNCT
cana-5533	461	8	1973b	1973b	NUM
cana-5533	461	9	)	)	PUNCT
cana-5533	461	10	.	.	PUNCT
cana-5533	462	1	on	on	ADP
cana-5533	462	2	a	a	DET
cana-5533	462	3	chi	chi	ADJ
cana-5533	462	4	-	-	PUNCT
cana-5533	462	5	square	square	ADJ
cana-5533	462	6	test	test	NOUN
cana-5533	462	7	for	for	ADP
cana-5533	462	8	continuous	continuous	ADJ
cana-5533	462	9	distributions	distribution	NOUN
cana-5533	462	10	.	.	PUNCT
cana-5533	463	1	theory	theory	NOUN
cana-5533	463	2	of	of	ADP
cana-5533	463	3	probability	probability	NOUN
cana-5533	463	4	and	and	CCONJ
cana-5533	463	5	applications	application	NOUN
cana-5533	463	6	,	,	PUNCT
cana-5533	463	7	18(4	18(4	NUM
cana-5533	463	8	)	)	PUNCT
cana-5533	463	9	,	,	PUNCT
cana-5533	463	10	638–639	638–639	NUM
cana-5533	463	11	.	.	PUNCT
cana-5533	464	1	[	[	X
cana-5533	464	2	24	24	NUM
cana-5533	464	3	]	]	X
cana-5533	464	4	nikulin	nikulin	NOUN
cana-5533	464	5	-	-	PUNCT
cana-5533	464	6	rao	rao	NOUN
cana-5533	464	7	-	-	PUNCT
cana-5533	464	8	robson	robson	NOUN
cana-5533	464	9	(	(	PUNCT
cana-5533	464	10	nrr	nrr	PROPN
cana-5533	464	11	)	)	PUNCT
cana-5533	464	12	test	test	NOUN
cana-5533	464	13	van	van	PROPN
cana-5533	464	14	der	der	PROPN
cana-5533	464	15	vaart	vaart	PROPN
cana-5533	464	16	.	.	PUNCT
cana-5533	465	1	(	(	PUNCT
cana-5533	465	2	1998	1998	NUM
cana-5533	465	3	)	)	PUNCT
cana-5533	465	4	.	.	PUNCT
cana-5533	466	1	asymptotic	asymptotic	ADJ
cana-5533	466	2	statistics	statistic	NOUN
cana-5533	466	3	.	.	PUNCT
cana-5533	467	1	cambridge	cambridge	PROPN
cana-5533	467	2	university	university	PROPN
cana-5533	467	3	press	press	NOUN
cana-5533	467	4	.	.	PUNCT
cana-5533	468	1	[	[	X
cana-5533	468	2	25	25	NUM
cana-5533	468	3	]	]	PUNCT
cana-5533	468	4	pitman	pitman	NOUN
cana-5533	468	5	,	,	PUNCT
cana-5533	468	6	e.	e.	PROPN
cana-5533	468	7	j.	j.	PROPN
cana-5533	468	8	g.	g.	PROPN
cana-5533	468	9	(	(	PUNCT
cana-5533	468	10	1937	1937	NUM
cana-5533	468	11	)	)	PUNCT
cana-5533	468	12	.	.	PUNCT
cana-5533	469	1	the	the	DET
cana-5533	469	2	closest	close	ADJ
cana-5533	469	3	estimates	estimate	NOUN
cana-5533	469	4	of	of	ADP
cana-5533	469	5	statistical	statistical	ADJ
cana-5533	469	6	parameters	parameter	NOUN
cana-5533	469	7	.	.	PUNCT
cana-5533	470	1	proceedings	proceeding	NOUN
cana-5533	470	2	of	of	ADP
cana-5533	470	3	the	the	DET
cana-5533	470	4	cambridge	cambridge	PROPN
cana-5533	470	5	philosophical	philosophical	ADJ
cana-5533	470	6	society	society	NOUN
cana-5533	470	7	,	,	PUNCT
cana-5533	470	8	33	33	NUM
cana-5533	470	9	,	,	PUNCT
cana-5533	470	10	212–222	212–222	NUM
cana-5533	470	11	.	.	PUNCT
cana-5533	471	1	[	[	X
cana-5533	471	2	26	26	NUM
cana-5533	471	3	]	]	X
cana-5533	471	4	rao	rao	PROPN
cana-5533	471	5	,	,	PUNCT
cana-5533	471	6	k.	k.	PROPN
cana-5533	471	7	c.	c.	PROPN
cana-5533	471	8	,	,	PUNCT
cana-5533	471	9	&	&	CCONJ
cana-5533	471	10	robson	robson	PROPN
cana-5533	471	11	,	,	PUNCT
cana-5533	471	12	d.	d.	PROPN
cana-5533	471	13	s.	s.	PROPN
cana-5533	471	14	(	(	PUNCT
cana-5533	471	15	1974	1974	NUM
cana-5533	471	16	)	)	PUNCT
cana-5533	471	17	.	.	PUNCT
cana-5533	472	1	a	a	DET
cana-5533	472	2	chi	chi	ADJ
cana-5533	472	3	-	-	PUNCT
cana-5533	472	4	square	square	ADJ
cana-5533	472	5	statistic	statistic	NOUN
cana-5533	472	6	for	for	ADP
cana-5533	472	7	goodness	goodness	NOUN
cana-5533	472	8	-	-	PUNCT
cana-5533	472	9	of	of	ADP
cana-5533	472	10	-	-	PUNCT
cana-5533	472	11	fit	fit	ADJ
cana-5533	472	12	tests	test	NOUN
cana-5533	472	13	within	within	ADP
cana-5533	472	14	the	the	DET
cana-5533	472	15	exponential	exponential	ADJ
cana-5533	472	16	family	family	NOUN
cana-5533	472	17	.	.	PUNCT
cana-5533	473	1	communications	communication	NOUN
cana-5533	473	2	in	in	ADP
cana-5533	473	3	statistics	statistic	NOUN
cana-5533	473	4	,	,	PUNCT
cana-5533	473	5	3	3	NUM
cana-5533	473	6	,	,	PUNCT
cana-5533	473	7	1139–1153	1139–1153	NUM
cana-5533	473	8	.	.	PUNCT
cana-5533	474	1	[	[	X
cana-5533	474	2	27	27	NUM
cana-5533	474	3	]	]	X
cana-5533	474	4	reuter	reuter	PROPN
cana-5533	474	5	,	,	PUNCT
cana-5533	474	6	u.	u.	PROPN
cana-5533	474	7	,	,	PUNCT
cana-5533	474	8	song	song	NOUN
cana-5533	474	9	,	,	PUNCT
cana-5533	474	10	s.	s.	PROPN
cana-5533	474	11	f.	f.	PROPN
cana-5533	474	12	,	,	PUNCT
cana-5533	474	13	&	&	CCONJ
cana-5533	474	14	bai	bai	PROPN
cana-5533	474	15	,	,	PUNCT
cana-5533	474	16	s.	s.	PROPN
cana-5533	474	17	(	(	PUNCT
cana-5533	474	18	2011	2011	NUM
cana-5533	474	19	)	)	PUNCT
cana-5533	474	20	.	.	PUNCT
cana-5533	475	1	cost	cost	NOUN
cana-5533	475	2	-	-	PUNCT
cana-5533	475	3	effectiveness	effectiveness	NOUN
cana-5533	475	4	fuzzy	fuzzy	ADJ
cana-5533	475	5	analysis	analysis	NOUN
cana-5533	475	6	for	for	ADP
cana-5533	475	7	an	an	DET
cana-5533	475	8	efficient	efficient	ADJ
cana-5533	475	9	reduction	reduction	NOUN
cana-5533	475	10	of	of	ADP
cana-5533	475	11	uncertainty	uncertainty	NOUN
cana-5533	475	12	.	.	PUNCT
cana-5533	476	1	structural	structural	ADJ
cana-5533	476	2	safety	safety	NOUN
cana-5533	476	3	,	,	PUNCT
cana-5533	476	4	33(2	33(2	NUM
cana-5533	476	5	)	)	PUNCT
cana-5533	476	6	,	,	PUNCT
cana-5533	476	7	101	101	NUM
cana-5533	476	8	-	-	SYM
cana-5533	476	9	114	114	NUM
cana-5533	476	10	.	.	PUNCT
cana-5533	477	1	[	[	X
cana-5533	477	2	28	28	NUM
cana-5533	477	3	]	]	X
cana-5533	477	4	saaidia	saaidia	PROPN
cana-5533	477	5	,	,	PUNCT
cana-5533	477	6	n.	n.	NOUN
cana-5533	477	7	,	,	PUNCT
cana-5533	477	8	belhamra	belhamra	NOUN
cana-5533	477	9	,	,	PUNCT
cana-5533	477	10	t.	t.	PROPN
cana-5533	477	11	,	,	PUNCT
cana-5533	477	12	&	&	CCONJ
cana-5533	477	13	zeghdoudi	zeghdoudi	NOUN
cana-5533	477	14	,	,	PUNCT
cana-5533	477	15	h.	h.	PROPN
cana-5533	477	16	(	(	PUNCT
cana-5533	477	17	2024	2024	NUM
cana-5533	477	18	)	)	PUNCT
cana-5533	477	19	.	.	PUNCT
cana-5533	478	1	on	on	ADP
cana-5533	478	2	z	z	NOUN
cana-5533	478	3	-	-	PUNCT
cana-5533	478	4	lindley	lindley	NOUN
cana-5533	478	5	distribution	distribution	NOUN
cana-5533	478	6	:	:	PUNCT
cana-5533	478	7	statistical	statistical	ADJ
cana-5533	478	8	properties	property	NOUN
cana-5533	478	9	and	and	CCONJ
cana-5533	478	10	applications	application	NOUN
cana-5533	478	11	.	.	PUNCT
cana-5533	479	1	studies	study	NOUN
cana-5533	479	2	in	in	ADP
cana-5533	479	3	engineering	engineering	NOUN
cana-5533	479	4	and	and	CCONJ
cana-5533	479	5	exact	exact	ADJ
cana-5533	479	6	sciences	science	NOUN
cana-5533	479	7	,	,	PUNCT
cana-5533	479	8	5(1	5(1	NUM
cana-5533	479	9	)	)	PUNCT
cana-5533	479	10	,	,	PUNCT
cana-5533	479	11	3078–3097	3078–3097	NUM
cana-5533	479	12	.	.	PUNCT
cana-5533	480	1	[	[	X
cana-5533	480	2	29	29	NUM
cana-5533	480	3	]	]	X
cana-5533	480	4	song	song	NOUN
cana-5533	480	5	,	,	PUNCT
cana-5533	480	6	s.	s.	PROPN
cana-5533	480	7	f.	f.	PROPN
cana-5533	480	8	,	,	PUNCT
cana-5533	480	9	bai	bai	PROPN
cana-5533	480	10	,	,	PUNCT
cana-5533	480	11	s.	s.	PROPN
cana-5533	480	12	,	,	PUNCT
cana-5533	480	13	&	&	CCONJ
cana-5533	480	14	wang	wang	PROPN
cana-5533	480	15	,	,	PUNCT
cana-5533	480	16	z.	z.	PROPN
cana-5533	480	17	(	(	PUNCT
cana-5533	480	18	2012	2012	NUM
cana-5533	480	19	)	)	PUNCT
cana-5533	480	20	.	.	PUNCT
cana-5533	481	1	a	a	DET
cana-5533	481	2	generalized	generalized	ADJ
cana-5533	481	3	borgonovo	borgonovo	PROPN
cana-5533	481	4	’s	’s	PART
cana-5533	481	5	importance	importance	NOUN
cana-5533	481	6	measure	measure	NOUN
cana-5533	481	7	for	for	ADP
cana-5533	481	8	fuzzy	fuzzy	ADJ
cana-5533	481	9	input	input	NOUN
cana-5533	481	10	uncertainty	uncertainty	NOUN
cana-5533	481	11	.	.	PUNCT
cana-5533	482	1	fuzzy	fuzzy	ADJ
cana-5533	482	2	sets	set	NOUN
cana-5533	482	3	and	and	CCONJ
cana-5533	482	4	systems	system	NOUN
cana-5533	482	5	,	,	PUNCT
cana-5533	482	6	207	207	NUM
cana-5533	482	7	,	,	PUNCT
cana-5533	482	8	52	52	NUM
cana-5533	482	9	-	-	SYM
cana-5533	482	10	65	65	NUM
cana-5533	482	11	.	.	PUNCT
cana-5533	483	1	[	[	X
cana-5533	483	2	30	30	NUM
cana-5533	483	3	]	]	X
cana-5533	483	4	voinov	voinov	NOUN
cana-5533	483	5	,	,	PUNCT
cana-5533	483	6	v.	v.	ADV
cana-5533	483	7	,	,	PUNCT
cana-5533	483	8	alloyarova	alloyarova	PROPN
cana-5533	483	9	,	,	PUNCT
cana-5533	483	10	r.	r.	PROPN
cana-5533	483	11	,	,	PUNCT
cana-5533	483	12	&	&	CCONJ
cana-5533	483	13	pya	pya	PROPN
cana-5533	483	14	,	,	PUNCT
cana-5533	483	15	n.	n.	NOUN
cana-5533	483	16	(	(	PUNCT
cana-5533	483	17	2008	2008	NUM
cana-5533	483	18	)	)	PUNCT
cana-5533	483	19	.	.	PUNCT
cana-5533	484	1	recent	recent	ADJ
cana-5533	484	2	achievements	achievement	NOUN
cana-5533	484	3	in	in	ADP
cana-5533	484	4	modified	modified	ADJ
cana-5533	484	5	chi	chi	NOUN
cana-5533	484	6	-	-	PUNCT
cana-5533	484	7	squared	square	VERB
cana-5533	484	8	goodness	goodness	NOUN
cana-5533	484	9	-	-	PUNCT
cana-5533	484	10	of	of	ADP
cana-5533	484	11	-	-	PUNCT
cana-5533	484	12	fit	fit	ADJ
cana-5533	484	13	testing	testing	NOUN
cana-5533	484	14	.	.	PUNCT
cana-5533	485	1	in	in	ADP
cana-5533	485	2	statistical	statistical	ADJ
cana-5533	485	3	models	model	NOUN
cana-5533	485	4	and	and	CCONJ
cana-5533	485	5	methods	method	NOUN
cana-5533	485	6	for	for	ADP
cana-5533	485	7	biomedical	biomedical	ADJ
cana-5533	485	8	and	and	CCONJ
cana-5533	485	9	technical	technical	ADJ
cana-5533	485	10	systems	system	NOUN
cana-5533	485	11	(	(	PUNCT
cana-5533	485	12	eds	ed	NOUN
cana-5533	485	13	.	.	PUNCT
cana-5533	485	14	f.	f.	PROPN
cana-5533	485	15	vonta	vonta	PROPN
cana-5533	485	16	,	,	PUNCT
cana-5533	485	17	m.	m.	NOUN
cana-5533	485	18	nikulin	nikulin	PROPN
cana-5533	485	19	,	,	PUNCT
cana-5533	485	20	n.	n.	NOUN
cana-5533	485	21	limnios	limnio	NOUN
cana-5533	485	22	,	,	PUNCT
cana-5533	485	23	c.	c.	PROPN
cana-5533	485	24	huber	huber	PROPN
cana-5533	485	25	)	)	PUNCT
cana-5533	485	26	,	,	PUNCT
cana-5533	485	27	birkhäuser	birkhäuser	NOUN
cana-5533	485	28	,	,	PUNCT
cana-5533	485	29	boston	boston	PROPN
cana-5533	485	30	,	,	PUNCT
cana-5533	485	31	241–258	241–258	NUM
cana-5533	485	32	.	.	PUNCT
cana-5533	486	1	[	[	X
cana-5533	486	2	31	31	NUM
cana-5533	486	3	]	]	SYM
cana-5533	486	4	voinov	voinov	PROPN
cana-5533	486	5	,	,	PUNCT
cana-5533	486	6	v.	v.	NOUN
cana-5533	486	7	,	,	PUNCT
cana-5533	486	8	pya	pya	NOUN
cana-5533	486	9	,	,	PUNCT
cana-5533	486	10	n.	n.	NOUN
cana-5533	486	11	,	,	PUNCT
cana-5533	486	12	&	&	CCONJ
cana-5533	486	13	alloyarova	alloyarova	PROPN
cana-5533	486	14	,	,	PUNCT
cana-5533	486	15	r.	r.	PROPN
cana-5533	486	16	(	(	PUNCT
cana-5533	486	17	2009	2009	NUM
cana-5533	486	18	)	)	PUNCT
cana-5533	486	19	.	.	PUNCT
cana-5533	487	1	a	a	DET
cana-5533	487	2	comparative	comparative	ADJ
cana-5533	487	3	study	study	NOUN
cana-5533	487	4	of	of	ADP
cana-5533	487	5	some	some	DET
cana-5533	487	6	modified	modify	VERB
cana-5533	487	7	chi	chi	ADJ
cana-5533	487	8	-	-	PUNCT
cana-5533	487	9	squared	square	VERB
cana-5533	487	10	tests	test	NOUN
cana-5533	487	11	.	.	PUNCT
cana-5533	488	1	communications	communication	NOUN
cana-5533	488	2	in	in	ADP
cana-5533	488	3	statistics	statistic	NOUN
cana-5533	488	4	simulation	simulation	NOUN
cana-5533	488	5	and	and	CCONJ
cana-5533	488	6	computation	computation	NOUN
cana-5533	488	7	,	,	PUNCT
cana-5533	488	8	38(2	38(2	NOUN
cana-5533	488	9	)	)	PUNCT
cana-5533	488	10	,	,	PUNCT
cana-5533	488	11	355–367	355–367	NUM
cana-5533	488	12	.	.	PUNCT
cana-5533	489	1	[	[	X
cana-5533	489	2	32	32	NUM
cana-5533	489	3	]	]	SYM
cana-5533	489	4	zadeh	zadeh	PROPN
cana-5533	489	5	,	,	PUNCT
cana-5533	489	6	l.	l.	PROPN
cana-5533	489	7	a.	a.	PROPN
cana-5533	489	8	(	(	PUNCT
cana-5533	489	9	1965	1965	NUM
cana-5533	489	10	)	)	PUNCT
cana-5533	489	11	.	.	PUNCT
cana-5533	489	12	fuzzy	fuzzy	ADJ
cana-5533	489	13	sets	set	NOUN
cana-5533	489	14	.	.	PUNCT
cana-5533	490	1	information	information	NOUN
cana-5533	490	2	and	and	CCONJ
cana-5533	490	3	control	control	NOUN
cana-5533	490	4	,	,	PUNCT
cana-5533	490	5	8(3	8(3	NUM
cana-5533	490	6	)	)	PUNCT
cana-5533	490	7	,	,	PUNCT
cana-5533	490	8	338–353	338–353	NUM
cana-5533	490	9	.	.	PUNCT
cana-5533	491	1	https://doi.org/10.1016/s0019-9958(65)90241-x	https://doi.org/10.1016/s0019-9958(65)90241-x	NOUN
cana-5533	491	2	.	.	PUNCT
cana-5533	492	1	[	[	X
cana-5533	492	2	33	33	NUM
cana-5533	492	3	]	]	X
cana-5533	492	4	zellner	zellner	NOUN
cana-5533	492	5	,	,	PUNCT
cana-5533	492	6	a.	a.	NOUN
cana-5533	492	7	(	(	PUNCT
cana-5533	492	8	1994	1994	NUM
cana-5533	492	9	)	)	PUNCT
cana-5533	492	10	.	.	PUNCT
cana-5533	493	1	bayesian	bayesian	NOUN
cana-5533	493	2	and	and	CCONJ
cana-5533	493	3	non	non	ADJ
cana-5533	493	4	-	-	ADJ
cana-5533	493	5	bayesian	bayesian	ADJ
cana-5533	493	6	estimation	estimation	NOUN
cana-5533	493	7	using	use	VERB
cana-5533	493	8	balanced	balanced	ADJ
cana-5533	493	9	loss	loss	NOUN
cana-5533	493	10	functions	function	NOUN
cana-5533	493	11	.	.	PUNCT
cana-5533	494	1	in	in	ADP
cana-5533	494	2	statistical	statistical	ADJ
cana-5533	494	3	decision	decision	NOUN
cana-5533	494	4	theory	theory	NOUN
cana-5533	494	5	and	and	CCONJ
cana-5533	494	6	methods	method	NOUN
cana-5533	494	7	v	v	X
cana-5533	494	8	(	(	PUNCT
cana-5533	494	9	j.	j.	PROPN
cana-5533	494	10	o.	o.	PROPN
cana-5533	494	11	berger	berger	PROPN
cana-5533	494	12	&	&	CCONJ
cana-5533	494	13	s.	s.	PROPN
cana-5533	494	14	s.	s.	PROPN
cana-5533	494	15	gupta	gupta	PROPN
cana-5533	494	16	,	,	PUNCT
cana-5533	494	17	eds	ed	NOUN
cana-5533	494	18	.	.	PUNCT
cana-5533	494	19	)	)	PUNCT
cana-5533	494	20	,	,	PUNCT
cana-5533	494	21	springer	springer	NOUN
cana-5533	494	22	-	-	PUNCT
cana-5533	494	23	verlag	verlag	PROPN
cana-5533	494	24	,	,	PUNCT
cana-5533	494	25	new	new	PROPN
cana-5533	494	26	york	york	PROPN
cana-5533	494	27	,	,	PUNCT
cana-5533	494	28	337–390	337–390	NUM
cana-5533	494	29	.	.	PUNCT
cana-5533	495	1	[	[	X
cana-5533	495	2	34	34	NUM
cana-5533	495	3	]	]	SYM
cana-5533	495	4	smith	smith	PROPN
cana-5533	495	5	,	,	PUNCT
cana-5533	495	6	s.	s.	PROPN
cana-5533	495	7	a.	a.	PROPN
cana-5533	495	8	(	(	PUNCT
cana-5533	495	9	1973	1973	NUM
cana-5533	495	10	)	)	PUNCT
cana-5533	495	11	.	.	PUNCT
cana-5533	496	1	judicial	judicial	ADJ
cana-5533	496	2	review	review	NOUN
cana-5533	496	3	of	of	ADP
cana-5533	496	4	administrative	administrative	ADJ
cana-5533	496	5	action	action	NOUN
cana-5533	496	6	(	(	PUNCT
cana-5533	496	7	3rd	3rd	ADJ
cana-5533	496	8	ed	ed	NOUN
cana-5533	496	9	.	.	PUNCT
cana-5533	496	10	)	)	PUNCT
cana-5533	496	11	.	.	PUNCT
cana-5533	497	1	london	london	PROPN
cana-5533	497	2	:	:	PUNCT
cana-5533	497	3	stevens	stevens	PROPN
cana-5533	497	4	.	.	PUNCT
cana-5533	498	1	[	[	X
cana-5533	498	2	35	35	NUM
cana-5533	498	3	]	]	X
cana-5533	498	4	jozani	jozani	PROPN
cana-5533	498	5	,	,	PUNCT
cana-5533	498	6	m.	m.	PROPN
cana-5533	498	7	j.	j.	PROPN
cana-5533	498	8	,	,	PUNCT
cana-5533	498	9	davies	davy	NOUN
cana-5533	498	10	,	,	PUNCT
cana-5533	498	11	k.	k.	PROPN
cana-5533	498	12	f.	f.	PROPN
cana-5533	498	13	,	,	PUNCT
cana-5533	498	14	&	&	CCONJ
cana-5533	498	15	balakrishnan	balakrishnan	PROPN
cana-5533	498	16	,	,	PUNCT
cana-5533	498	17	n.	n.	PROPN
cana-5533	498	18	(	(	PUNCT
cana-5533	498	19	2012	2012	NUM
cana-5533	498	20	)	)	PUNCT
cana-5533	498	21	.	.	PUNCT
cana-5533	499	1	pitman	pitman	NOUN
cana-5533	499	2	closeness	closeness	NOUN
cana-5533	499	3	results	result	NOUN
cana-5533	499	4	concerning	concern	VERB
cana-5533	499	5	ranked	rank	VERB
cana-5533	499	6	set	set	ADJ
cana-5533	499	7	sampling	sampling	NOUN
cana-5533	499	8	.	.	PUNCT
cana-5533	500	1	statistics	statistic	NOUN
cana-5533	500	2	and	and	CCONJ
cana-5533	500	3	probability	probability	NOUN
cana-5533	500	4	letters	letter	NOUN
cana-5533	500	5	,	,	PUNCT
cana-5533	500	6	82(12	82(12	NUM
cana-5533	500	7	)	)	PUNCT
cana-5533	500	8	,	,	PUNCT
cana-5533	500	9	2260–2269	2260–2269	NUM
cana-5533	500	10	.	.	PUNCT
cana-5533	501	1	https://doi.org/10.1016/s0019-9958(65)90241-x	https://doi.org/10.1016/s0019-9958(65)90241-x	NOUN