id	sid	tid	token	lemma	pos
iajs-2972	1	1	ihjpas	ihjpas	PROPN
iajs-2972	1	2	.	.	PUNCT
iajs-2972	2	1	36(1)2023	36(1)2023	NUM
iajs-2972	2	2	272	272	NUM
iajs-2972	2	3	this	this	DET
iajs-2972	2	4	work	work	NOUN
iajs-2972	2	5	is	be	AUX
iajs-2972	2	6	licensed	license	VERB
iajs-2972	2	7	under	under	ADP
iajs-2972	2	8	a	a	DET
iajs-2972	2	9	creative	creative	ADJ
iajs-2972	2	10	commons	common	NOUN
iajs-2972	2	11	attribution	attribution	NOUN
iajs-2972	2	12	4.0	4.0	NUM
iajs-2972	2	13	international	international	ADJ
iajs-2972	2	14	license	license	NOUN
iajs-2972	2	15	estimation	estimation	NOUN
iajs-2972	2	16	of	of	ADP
iajs-2972	2	17	a	a	DET
iajs-2972	2	18	parallel	parallel	ADJ
iajs-2972	2	19	stress	stress	NOUN
iajs-2972	2	20	-	-	PUNCT
iajs-2972	2	21	strength	strength	NOUN
iajs-2972	2	22	model	model	NOUN
iajs-2972	2	23	based	base	VERB
iajs-2972	2	24	on	on	ADP
iajs-2972	2	25	the	the	DET
iajs-2972	2	26	inverse	inverse	NOUN
iajs-2972	2	27	kumaraswamy	kumaraswamy	NOUN
iajs-2972	2	28	distribution	distribution	NOUN
iajs-2972	2	29	abstract	abstract	NOUN
iajs-2972	2	30	the	the	DET
iajs-2972	2	31	reliability	reliability	NOUN
iajs-2972	2	32	of	of	ADP
iajs-2972	2	33	the	the	DET
iajs-2972	2	34	stress	stress	NOUN
iajs-2972	2	35	-	-	PUNCT
iajs-2972	2	36	strength	strength	NOUN
iajs-2972	2	37	model	model	NOUN
iajs-2972	2	38	attracted	attract	VERB
iajs-2972	2	39	many	many	ADJ
iajs-2972	2	40	statisticians	statistician	NOUN
iajs-2972	2	41	for	for	ADP
iajs-2972	2	42	several	several	ADJ
iajs-2972	2	43	years	year	NOUN
iajs-2972	2	44	owing	owe	VERB
iajs-2972	2	45	to	to	ADP
iajs-2972	2	46	its	its	PRON
iajs-2972	2	47	applicability	applicability	NOUN
iajs-2972	2	48	in	in	ADP
iajs-2972	2	49	different	different	ADJ
iajs-2972	2	50	and	and	CCONJ
iajs-2972	2	51	diverse	diverse	ADJ
iajs-2972	2	52	parts	part	NOUN
iajs-2972	2	53	such	such	ADJ
iajs-2972	2	54	as	as	ADP
iajs-2972	2	55	engineering	engineering	NOUN
iajs-2972	2	56	,	,	PUNCT
iajs-2972	2	57	quality	quality	NOUN
iajs-2972	2	58	control	control	NOUN
iajs-2972	2	59	,	,	PUNCT
iajs-2972	2	60	and	and	CCONJ
iajs-2972	2	61	economics	economic	NOUN
iajs-2972	2	62	.	.	PUNCT
iajs-2972	3	1	in	in	ADP
iajs-2972	3	2	this	this	DET
iajs-2972	3	3	paper	paper	NOUN
iajs-2972	3	4	,	,	PUNCT
iajs-2972	3	5	the	the	DET
iajs-2972	3	6	system	system	NOUN
iajs-2972	3	7	reliability	reliability	NOUN
iajs-2972	3	8	estimation	estimation	NOUN
iajs-2972	3	9	in	in	ADP
iajs-2972	3	10	the	the	DET
iajs-2972	3	11	stress	stress	NOUN
iajs-2972	3	12	-	-	PUNCT
iajs-2972	3	13	strength	strength	NOUN
iajs-2972	3	14	model	model	NOUN
iajs-2972	3	15	containing	contain	VERB
iajs-2972	3	16	kth	kth	PROPN
iajs-2972	3	17	parallel	parallel	ADJ
iajs-2972	3	18	components	component	NOUN
iajs-2972	3	19	will	will	AUX
iajs-2972	3	20	be	be	AUX
iajs-2972	3	21	offered	offer	VERB
iajs-2972	3	22	by	by	ADP
iajs-2972	3	23	four	four	NUM
iajs-2972	3	24	types	type	NOUN
iajs-2972	3	25	of	of	ADP
iajs-2972	3	26	shrinkage	shrinkage	NOUN
iajs-2972	3	27	methods	method	NOUN
iajs-2972	3	28	(	(	PUNCT
iajs-2972	3	29	constant	constant	ADJ
iajs-2972	3	30	shrinkage	shrinkage	NOUN
iajs-2972	3	31	estimation	estimation	NOUN
iajs-2972	3	32	method	method	NOUN
iajs-2972	3	33	,	,	PUNCT
iajs-2972	3	34	shrinkage	shrinkage	NOUN
iajs-2972	3	35	function	function	NOUN
iajs-2972	3	36	estimator	estimator	NOUN
iajs-2972	3	37	,	,	PUNCT
iajs-2972	3	38	modified	modify	VERB
iajs-2972	3	39	thompson	thompson	NOUN
iajs-2972	3	40	type	type	NOUN
iajs-2972	3	41	shrinkage	shrinkage	NOUN
iajs-2972	3	42	estimator	estimator	NOUN
iajs-2972	3	43	,	,	PUNCT
iajs-2972	3	44	squared	square	VERB
iajs-2972	3	45	shrinkage	shrinkage	NOUN
iajs-2972	3	46	estimator	estimator	NOUN
iajs-2972	3	47	)	)	PUNCT
iajs-2972	3	48	.	.	PUNCT
iajs-2972	4	1	the	the	DET
iajs-2972	4	2	monte	monte	PROPN
iajs-2972	4	3	carlo	carlo	PROPN
iajs-2972	4	4	simulation	simulation	PROPN
iajs-2972	4	5	study	study	NOUN
iajs-2972	4	6	is	be	AUX
iajs-2972	4	7	compared	compare	VERB
iajs-2972	4	8	among	among	ADP
iajs-2972	4	9	proposed	propose	VERB
iajs-2972	4	10	estimators	estimator	NOUN
iajs-2972	4	11	using	use	VERB
iajs-2972	4	12	the	the	DET
iajs-2972	4	13	mean	mean	ADJ
iajs-2972	4	14	squared	square	VERB
iajs-2972	4	15	error	error	NOUN
iajs-2972	4	16	.	.	PUNCT
iajs-2972	5	1	the	the	DET
iajs-2972	5	2	result	result	NOUN
iajs-2972	5	3	analyses	analysis	NOUN
iajs-2972	5	4	of	of	ADP
iajs-2972	5	5	the	the	DET
iajs-2972	5	6	shrinkage	shrinkage	NOUN
iajs-2972	5	7	estimation	estimation	NOUN
iajs-2972	5	8	methods	method	NOUN
iajs-2972	5	9	showed	show	VERB
iajs-2972	5	10	that	that	SCONJ
iajs-2972	5	11	the	the	DET
iajs-2972	5	12	shrinkage	shrinkage	NOUN
iajs-2972	5	13	functions	function	NOUN
iajs-2972	5	14	estimator	estimator	NOUN
iajs-2972	5	15	was	be	AUX
iajs-2972	5	16	the	the	DET
iajs-2972	5	17	best	good	ADJ
iajs-2972	5	18	since	since	SCONJ
iajs-2972	5	19	it	it	PRON
iajs-2972	5	20	has	have	VERB
iajs-2972	5	21	a	a	DET
iajs-2972	5	22	minor	minor	ADJ
iajs-2972	5	23	mean	mean	NOUN
iajs-2972	5	24	squared	square	VERB
iajs-2972	5	25	error	error	NOUN
iajs-2972	5	26	than	than	ADP
iajs-2972	5	27	the	the	DET
iajs-2972	5	28	other	other	ADJ
iajs-2972	5	29	methods	method	NOUN
iajs-2972	5	30	followed	follow	VERB
iajs-2972	5	31	by	by	ADP
iajs-2972	5	32	the	the	DET
iajs-2972	5	33	additional	additional	ADJ
iajs-2972	5	34	shrinkage	shrinkage	NOUN
iajs-2972	5	35	estimator	estimator	NOUN
iajs-2972	5	36	.	.	PUNCT
iajs-2972	6	1	the	the	DET
iajs-2972	6	2	stress	stress	NOUN
iajs-2972	6	3	and	and	CCONJ
iajs-2972	6	4	strength	strength	NOUN
iajs-2972	6	5	belong	belong	VERB
iajs-2972	6	6	to	to	ADP
iajs-2972	6	7	the	the	DET
iajs-2972	6	8	in	in	ADJ
iajs-2972	6	9	verse	verse	NOUN
iajs-2972	6	10	kumaraswamy	kumaraswamy	ADJ
iajs-2972	6	11	distribution	distribution	NOUN
iajs-2972	6	12	.	.	PUNCT
iajs-2972	7	1	keywords	keyword	NOUN
iajs-2972	7	2	:	:	PUNCT
iajs-2972	7	3	invers	inver	NOUN
iajs-2972	7	4	kumaraswamy	kumaraswamy	ADJ
iajs-2972	7	5	distribution	distribution	NOUN
iajs-2972	7	6	,	,	PUNCT
iajs-2972	7	7	stress	stress	NOUN
iajs-2972	7	8	ـ	ـ	NOUN
iajs-2972	7	9	strength	strength	NOUN
iajs-2972	7	10	reliability	reliability	NOUN
iajs-2972	7	11	,	,	PUNCT
iajs-2972	7	12	shrinkage	shrinkage	NOUN
iajs-2972	7	13	estimator	estimator	NOUN
iajs-2972	7	14	,	,	PUNCT
iajs-2972	7	15	mean	mean	VERB
iajs-2972	7	16	squared	square	VERB
iajs-2972	7	17	error	error	NOUN
iajs-2972	7	18	.	.	PUNCT
iajs-2972	8	1	doi.org/10.30526/36.1.2972	doi.org/10.30526/36.1.2972	PROPN
iajs-2972	8	2	ibn	ibn	PROPN
iajs-2972	8	3	al	al	PROPN
iajs-2972	8	4	-	-	PUNCT
iajs-2972	8	5	haitham	haitham	PROPN
iajs-2972	8	6	journal	journal	PROPN
iajs-2972	8	7	for	for	ADP
iajs-2972	8	8	pure	pure	ADJ
iajs-2972	8	9	and	and	CCONJ
iajs-2972	8	10	applied	applied	ADJ
iajs-2972	8	11	sciences	sciences	PROPN
iajs-2972	8	12	journal	journal	PROPN
iajs-2972	8	13	homepage	homepage	NOUN
iajs-2972	8	14	:	:	PUNCT
iajs-2972	8	15	jih.uobaghdad.edu.iq	jih.uobaghdad.edu.iq	NOUN
iajs-2972	8	16	article	article	NOUN
iajs-2972	8	17	history	history	NOUN
iajs-2972	8	18	:	:	PUNCT
iajs-2972	8	19	received	receive	VERB
iajs-2972	8	20	3	3	NUM
iajs-2972	8	21	augest	aug	ADJ
iajs-2972	8	22	2022	2022	NUM
iajs-2972	8	23	,	,	PUNCT
iajs-2972	8	24	accepted	accept	VERB
iajs-2972	8	25	29	29	NUM
iajs-2972	8	26	november	november	PROPN
iajs-2972	8	27	2022	2022	NUM
iajs-2972	8	28	,	,	PUNCT
iajs-2972	8	29	published	publish	VERB
iajs-2972	8	30	in	in	ADP
iajs-2972	8	31	january	january	PROPN
iajs-2972	8	32	2023	2023	NUM
iajs-2972	8	33	.	.	PUNCT
iajs-2972	9	1	bayda	bayda	VERB
iajs-2972	9	2	atiya	atiya	PROPN
iajs-2972	9	3	kalaf	kalaf	PROPN
iajs-2972	9	4	department	department	PROPN
iajs-2972	9	5	of	of	ADP
iajs-2972	9	6	mathematics	mathematics	PROPN
iajs-2972	9	7	,	,	PUNCT
iajs-2972	9	8	college	college	NOUN
iajs-2972	9	9	of	of	ADP
iajs-2972	9	10	education	education	NOUN
iajs-2972	9	11	for	for	ADP
iajs-2972	9	12	pure	pure	ADJ
iajs-2972	9	13	sciences	science	NOUN
iajs-2972	9	14	,	,	PUNCT
iajs-2972	9	15	ibn	ibn	PROPN
iajs-2972	9	16	al	al	PROPN
iajs-2972	9	17	–	–	PUNCT
iajs-2972	9	18	haitham	haitham	PROPN
iajs-2972	9	19	,	,	PUNCT
iajs-2972	9	20	university	university	PROPN
iajs-2972	9	21	of	of	ADP
iajs-2972	9	22	baghdad	baghdad	PROPN
iajs-2972	9	23	iraq	iraq	PROPN
iajs-2972	9	24	,	,	PUNCT
iajs-2972	9	25	hbama75@yahoo.com	hbama75@yahoo.com	PROPN
iajs-2972	9	26	bsma	bsma	PROPN
iajs-2972	9	27	abdul	abdul	PROPN
iajs-2972	9	28	hameed	hameed	PROPN
iajs-2972	9	29	ministry	ministry	PROPN
iajs-2972	9	30	of	of	ADP
iajs-2972	9	31	education	education	PROPN
iajs-2972	9	32	,	,	PUNCT
iajs-2972	9	33	directorate	directorate	NOUN
iajs-2972	9	34	of	of	ADP
iajs-2972	9	35	education	education	NOUN
iajs-2972	9	36	,	,	PUNCT
iajs-2972	9	37	rusafa	rusafa	NOUN
iajs-2972	9	38	second	second	PROPN
iajs-2972	9	39	,	,	PUNCT
iajs-2972	9	40	baghdad	baghdad	PROPN
iajs-2972	9	41	,	,	PUNCT
iajs-2972	9	42	iraq	iraq	PROPN
iajs-2972	9	43	bbsmh896@gmail.com	bbsmh896@gmail.com	X
iajs-2972	9	44	abbas	abbas	PROPN
iajs-2972	9	45	n.	n.	PROPN
iajs-2972	9	46	salman	salman	PROPN
iajs-2972	9	47	department	department	PROPN
iajs-2972	9	48	of	of	ADP
iajs-2972	9	49	mathematics	mathematics	PROPN
iajs-2972	9	50	,	,	PUNCT
iajs-2972	9	51	college	college	NOUN
iajs-2972	9	52	of	of	ADP
iajs-2972	9	53	education	education	NOUN
iajs-2972	9	54	for	for	ADP
iajs-2972	9	55	pure	pure	ADJ
iajs-2972	9	56	sciences	science	NOUN
iajs-2972	9	57	,	,	PUNCT
iajs-2972	9	58	ibn	ibn	PROPN
iajs-2972	9	59	al	al	PROPN
iajs-2972	9	60	–	–	PUNCT
iajs-2972	9	61	haitham	haitham	PROPN
iajs-2972	9	62	,	,	PUNCT
iajs-2972	9	63	university	university	PROPN
iajs-2972	9	64	of	of	ADP
iajs-2972	9	65	baghdad	baghdad	PROPN
iajs-2972	9	66	iraq	iraq	PROPN
iajs-2972	9	67	,	,	PUNCT
iajs-2972	9	68	abbasnajim66@yahoo.com	abbasnajim66@yahoo.com	ADP
iajs-2972	9	69	erum	erum	PROPN
iajs-2972	9	70	rehman	rehman	PROPN
iajs-2972	9	71	geeds	geeds	PROPN
iajs-2972	9	72	-	-	PUNCT
iajs-2972	9	73	group	group	NOUN
iajs-2972	9	74	of	of	ADP
iajs-2972	9	75	energy	energy	NOUN
iajs-2972	9	76	,	,	PUNCT
iajs-2972	9	77	economy	economy	NOUN
iajs-2972	9	78	and	and	CCONJ
iajs-2972	9	79	system	system	NOUN
iajs-2972	9	80	dynamics	dynamic	NOUN
iajs-2972	9	81	.	.	PUNCT
iajs-2972	10	1	university	university	NOUN
iajs-2972	10	2	of	of	ADP
iajs-2972	10	3	valladolid	valladolid	PROPN
iajs-2972	10	4	,	,	PUNCT
iajs-2972	10	5	spain	spain	PROPN
iajs-2972	10	6	,	,	PUNCT
iajs-2972	10	7	department	department	NOUN
iajs-2972	10	8	of	of	ADP
iajs-2972	10	9	economics	economic	NOUN
iajs-2972	10	10	,	,	PUNCT
iajs-2972	10	11	shandong	shandong	PROPN
iajs-2972	10	12	university	university	PROPN
iajs-2972	10	13	of	of	ADP
iajs-2972	10	14	finance	finance	NOUN
iajs-2972	10	15	and	and	CCONJ
iajs-2972	10	16	economics	economic	NOUN
iajs-2972	10	17	,	,	PUNCT
iajs-2972	10	18	jinan	jinan	PROPN
iajs-2972	10	19	,	,	PUNCT
iajs-2972	10	20	china	china	PROPN
iajs-2972	10	21	erum.rehman@uva.es	erum.rehman@uva.es	PROPN
iajs-2972	10	22	https://creativecommons.org/licenses/by/4.0/	https://creativecommons.org/licenses/by/4.0/	PROPN
iajs-2972	10	23	mailto:hbama75@yahoo.com	mailto:hbama75@yahoo.com	PROPN
iajs-2972	10	24	mailto:bbsmh896@gmail.com	mailto:bbsmh896@gmail.com	PROPN
iajs-2972	10	25	mailto:abbasnajim66@yahoo.com	mailto:abbasnajim66@yahoo.com	AUX
iajs-2972	10	26	mailto:erum.rehman@uva.es	mailto:erum.rehman@uva.es	PRON
iajs-2972	10	27	ihjpas	ihjpas	PROPN
iajs-2972	10	28	.	.	PUNCT
iajs-2972	11	1	36(1)2023	36(1)2023	NUM
iajs-2972	11	2	273	273	NUM
iajs-2972	11	3	1	1	NUM
iajs-2972	11	4	.	.	PUNCT
iajs-2972	12	1	introduction	introduction	NOUN
iajs-2972	12	2	the	the	DET
iajs-2972	12	3	word	word	NOUN
iajs-2972	12	4	‘	'	PUNCT
iajs-2972	12	5	reliability	reliability	NOUN
iajs-2972	12	6	’	'	PUNCT
iajs-2972	12	7	refers	refer	VERB
iajs-2972	12	8	to	to	ADP
iajs-2972	12	9	the	the	DET
iajs-2972	12	10	ability	ability	NOUN
iajs-2972	12	11	of	of	ADP
iajs-2972	12	12	a	a	DET
iajs-2972	12	13	system	system	NOUN
iajs-2972	12	14	to	to	PART
iajs-2972	12	15	execute	execute	VERB
iajs-2972	12	16	its	its	PRON
iajs-2972	12	17	stated	state	VERB
iajs-2972	12	18	purpose	purpose	NOUN
iajs-2972	12	19	adequately	adequately	ADV
iajs-2972	12	20	for	for	ADP
iajs-2972	12	21	a	a	DET
iajs-2972	12	22	specified	specify	VERB
iajs-2972	12	23	time	time	NOUN
iajs-2972	12	24	under	under	ADP
iajs-2972	12	25	the	the	DET
iajs-2972	12	26	operational	operational	ADJ
iajs-2972	12	27	conditions	condition	NOUN
iajs-2972	12	28	encountered	encounter	VERB
iajs-2972	12	29	[	[	X
iajs-2972	12	30	1	1	NUM
iajs-2972	12	31	]	]	PUNCT
iajs-2972	12	32	.	.	PUNCT
iajs-2972	13	1	the	the	DET
iajs-2972	13	2	stress	stress	NOUN
iajs-2972	13	3	-strength	-strength	NOUN
iajs-2972	13	4	model	model	NOUN
iajs-2972	13	5	is	be	AUX
iajs-2972	13	6	used	use	VERB
iajs-2972	13	7	to	to	PART
iajs-2972	13	8	compute	compute	VERB
iajs-2972	13	9	reliability	reliability	NOUN
iajs-2972	13	10	.	.	PUNCT
iajs-2972	14	1	it	it	PRON
iajs-2972	14	2	is	be	AUX
iajs-2972	14	3	found	find	VERB
iajs-2972	14	4	to	to	PART
iajs-2972	14	5	be	be	AUX
iajs-2972	14	6	helpful	helpful	ADJ
iajs-2972	14	7	in	in	ADP
iajs-2972	14	8	situations	situation	NOUN
iajs-2972	14	9	where	where	SCONJ
iajs-2972	14	10	the	the	DET
iajs-2972	14	11	reliability	reliability	NOUN
iajs-2972	14	12	of	of	ADP
iajs-2972	14	13	a	a	DET
iajs-2972	14	14	component	component	NOUN
iajs-2972	14	15	or	or	CCONJ
iajs-2972	14	16	system	system	NOUN
iajs-2972	14	17	is	be	AUX
iajs-2972	14	18	defined	define	VERB
iajs-2972	14	19	by	by	ADP
iajs-2972	14	20	the	the	DET
iajs-2972	14	21	probability	probability	NOUN
iajs-2972	14	22	that	that	SCONJ
iajs-2972	14	23	a	a	DET
iajs-2972	14	24	random	random	ADJ
iajs-2972	14	25	variable	variable	NOUN
iajs-2972	14	26	of	of	ADP
iajs-2972	14	27	strength	strength	NOUN
iajs-2972	14	28	is	be	AUX
iajs-2972	14	29	more	more	ADV
iajs-2972	14	30	significant	significant	ADJ
iajs-2972	14	31	than	than	ADP
iajs-2972	14	32	a	a	DET
iajs-2972	14	33	random	random	ADJ
iajs-2972	14	34	variable	variable	NOUN
iajs-2972	14	35	(	(	PUNCT
iajs-2972	14	36	stress	stress	NOUN
iajs-2972	14	37	)	)	PUNCT
iajs-2972	14	38	.	.	PUNCT
iajs-2972	15	1	at	at	ADP
iajs-2972	15	2	the	the	DET
iajs-2972	15	3	same	same	ADJ
iajs-2972	15	4	time	time	NOUN
iajs-2972	15	5	,	,	PUNCT
iajs-2972	15	6	it	it	PRON
iajs-2972	15	7	makes	make	VERB
iajs-2972	15	8	intuitive	intuitive	ADJ
iajs-2972	15	9	sense	sense	NOUN
iajs-2972	15	10	that	that	SCONJ
iajs-2972	15	11	a	a	DET
iajs-2972	15	12	component	component	NOUN
iajs-2972	15	13	is	be	AUX
iajs-2972	15	14	deemed	deem	VERB
iajs-2972	15	15	to	to	PART
iajs-2972	15	16	have	have	AUX
iajs-2972	15	17	failed	fail	VERB
iajs-2972	15	18	when	when	SCONJ
iajs-2972	15	19	its	its	PRON
iajs-2972	15	20	strength	strength	NOUN
iajs-2972	15	21	is	be	AUX
iajs-2972	15	22	lower	low	ADJ
iajs-2972	15	23	than	than	ADP
iajs-2972	15	24	the	the	DET
iajs-2972	15	25	applied	apply	VERB
iajs-2972	15	26	stress	stress	NOUN
iajs-2972	15	27	[	[	X
iajs-2972	15	28	2	2	NUM
iajs-2972	15	29	-	-	SYM
iajs-2972	15	30	3	3	NUM
iajs-2972	15	31	]	]	PUNCT
iajs-2972	15	32	.	.	PUNCT
iajs-2972	16	1	several	several	ADJ
iajs-2972	16	2	researchers	researcher	NOUN
iajs-2972	16	3	studied	study	VERB
iajs-2972	16	4	various	various	ADJ
iajs-2972	16	5	lifetime	lifetime	NOUN
iajs-2972	16	6	distributions	distribution	NOUN
iajs-2972	16	7	of	of	ADP
iajs-2972	16	8	the	the	DET
iajs-2972	16	9	parallel	parallel	ADJ
iajs-2972	16	10	system	system	NOUN
iajs-2972	16	11	reliability	reliability	NOUN
iajs-2972	16	12	in	in	ADP
iajs-2972	16	13	stressstrength	stressstrength	NOUN
iajs-2972	16	14	model	model	NOUN
iajs-2972	16	15	.	.	PUNCT
iajs-2972	17	1	[	[	X
iajs-2972	17	2	4	4	NUM
iajs-2972	17	3	]	]	PUNCT
iajs-2972	17	4	studied	study	VERB
iajs-2972	17	5	estimation	estimation	NOUN
iajs-2972	17	6	,	,	PUNCT
iajs-2972	17	7	the	the	DET
iajs-2972	17	8	system	system	NOUN
iajs-2972	17	9	reliability	reliability	NOUN
iajs-2972	17	10	consists	consist	VERB
iajs-2972	17	11	of	of	ADP
iajs-2972	17	12	two	two	NUM
iajs-2972	17	13	parallel	parallel	ADJ
iajs-2972	17	14	components	component	NOUN
iajs-2972	17	15	,	,	PUNCT
iajs-2972	17	16	and	and	CCONJ
iajs-2972	17	17	the	the	DET
iajs-2972	17	18	two	two	NUM
iajs-2972	17	19	strengths	strength	NOUN
iajs-2972	17	20	follow	follow	VERB
iajs-2972	17	21	the	the	DET
iajs-2972	17	22	bivariate	bivariate	ADJ
iajs-2972	17	23	pareto	pareto	ADJ
iajs-2972	17	24	distribution	distribution	NOUN
iajs-2972	17	25	subject	subject	NOUN
iajs-2972	17	26	to	to	ADP
iajs-2972	17	27	common	common	ADJ
iajs-2972	17	28	stress	stress	NOUN
iajs-2972	17	29	,	,	PUNCT
iajs-2972	17	30	which	which	PRON
iajs-2972	17	31	follows	follow	VERB
iajs-2972	17	32	the	the	DET
iajs-2972	17	33	pareto	pareto	ADJ
iajs-2972	17	34	distribution	distribution	NOUN
iajs-2972	17	35	.	.	PUNCT
iajs-2972	18	1	also	also	ADV
iajs-2972	18	2	,	,	PUNCT
iajs-2972	18	3	[	[	X
iajs-2972	18	4	5	5	NUM
iajs-2972	18	5	]	]	PUNCT
iajs-2972	18	6	considered	consider	VERB
iajs-2972	18	7	estimating	estimate	VERB
iajs-2972	18	8	the	the	DET
iajs-2972	18	9	system	system	NOUN
iajs-2972	18	10	of	of	ADP
iajs-2972	18	11	reliability	reliability	NOUN
iajs-2972	18	12	in	in	ADP
iajs-2972	18	13	the	the	DET
iajs-2972	18	14	s	s	PROPN
iajs-2972	18	15	-	-	PUNCT
iajs-2972	18	16	s	s	NOUN
iajs-2972	18	17	model	model	NOUN
iajs-2972	18	18	in	in	ADP
iajs-2972	18	19	series	series	NOUN
iajs-2972	18	20	and	and	CCONJ
iajs-2972	18	21	the	the	DET
iajs-2972	18	22	parallel	parallel	NOUN
iajs-2972	18	23	of	of	ADP
iajs-2972	18	24	k	k	PROPN
iajs-2972	18	25	components	component	NOUN
iajs-2972	18	26	when	when	SCONJ
iajs-2972	18	27	the	the	DET
iajs-2972	18	28	stress	stress	NOUN
iajs-2972	18	29	and	and	CCONJ
iajs-2972	18	30	strengths	strength	NOUN
iajs-2972	18	31	follow	follow	VERB
iajs-2972	18	32	exponential	exponential	ADJ
iajs-2972	18	33	distributions	distribution	NOUN
iajs-2972	18	34	.	.	PUNCT
iajs-2972	19	1	in	in	ADP
iajs-2972	19	2	2013	2013	NUM
iajs-2972	19	3	,	,	PUNCT
iajs-2972	19	4	[	[	X
iajs-2972	19	5	6	6	NUM
iajs-2972	19	6	]	]	PUNCT
iajs-2972	19	7	estimated	estimate	VERB
iajs-2972	19	8	ss	ss	NOUN
iajs-2972	19	9	reliability	reliability	NOUN
iajs-2972	19	10	consisting	consist	VERB
iajs-2972	19	11	of	of	ADP
iajs-2972	19	12	two	two	NUM
iajs-2972	19	13	parallel	parallel	ADJ
iajs-2972	19	14	components	component	NOUN
iajs-2972	19	15	based	base	VERB
iajs-2972	19	16	on	on	ADP
iajs-2972	19	17	exponential	exponential	ADJ
iajs-2972	19	18	distribution	distribution	NOUN
iajs-2972	19	19	.	.	PUNCT
iajs-2972	20	1	in	in	ADP
iajs-2972	20	2	addition	addition	NOUN
iajs-2972	20	3	,	,	PUNCT
iajs-2972	20	4	[	[	X
iajs-2972	20	5	7	7	NUM
iajs-2972	20	6	]	]	X
iajs-2972	20	7	offered	offer	VERB
iajs-2972	20	8	estimations	estimation	NOUN
iajs-2972	20	9	of	of	ADP
iajs-2972	20	10	system	system	NOUN
iajs-2972	20	11	reliability	reliability	NOUN
iajs-2972	20	12	for	for	ADP
iajs-2972	20	13	one	one	NUM
iajs-2972	20	14	component	component	NOUN
iajs-2972	20	15	,	,	PUNCT
iajs-2972	20	16	two	two	NUM
iajs-2972	20	17	parallel	parallel	ADJ
iajs-2972	20	18	components	component	NOUN
iajs-2972	20	19	,	,	PUNCT
iajs-2972	20	20	and	and	CCONJ
iajs-2972	20	21	s	s	X
iajs-2972	20	22	-	-	PUNCT
iajs-2972	20	23	out	out	ADP
iajs-2972	20	24	-	-	PUNCT
iajs-2972	20	25	of	of	ADP
iajs-2972	20	26	-	-	PUNCT
iajs-2972	20	27	k	k	NOUN
iajs-2972	20	28	components	component	NOUN
iajs-2972	20	29	in	in	ADP
iajs-2972	20	30	s	s	NOUN
iajs-2972	20	31	-	-	PUNCT
iajs-2972	20	32	s	s	NOUN
iajs-2972	20	33	system	system	NOUN
iajs-2972	20	34	models	model	NOUN
iajs-2972	20	35	with	with	ADP
iajs-2972	20	36	non	non	ADJ
iajs-2972	20	37	-	-	ADJ
iajs-2972	20	38	identical	identical	ADJ
iajs-2972	20	39	component	component	NOUN
iajs-2972	20	40	strengths	strength	NOUN
iajs-2972	20	41	which	which	PRON
iajs-2972	20	42	are	be	AUX
iajs-2972	20	43	subjected	subject	VERB
iajs-2972	20	44	to	to	ADP
iajs-2972	20	45	a	a	DET
iajs-2972	20	46	common	common	ADJ
iajs-2972	20	47	stress	stress	NOUN
iajs-2972	20	48	,	,	PUNCT
iajs-2972	20	49	based	base	VERB
iajs-2972	20	50	on	on	ADP
iajs-2972	20	51	exponentiated	exponentiated	ADJ
iajs-2972	20	52	exponential	exponential	ADJ
iajs-2972	20	53	distribution	distribution	NOUN
iajs-2972	20	54	with	with	ADP
iajs-2972	20	55	common	common	ADJ
iajs-2972	20	56	scale	scale	NOUN
iajs-2972	20	57	parameter	parameter	NOUN
iajs-2972	20	58	.	.	PUNCT
iajs-2972	21	1	also	also	ADV
iajs-2972	21	2	,	,	PUNCT
iajs-2972	21	3	a	a	DET
iajs-2972	21	4	simulation	simulation	NOUN
iajs-2972	21	5	study	study	NOUN
iajs-2972	21	6	was	be	AUX
iajs-2972	21	7	used	use	VERB
iajs-2972	21	8	to	to	PART
iajs-2972	21	9	compare	compare	VERB
iajs-2972	21	10	the	the	DET
iajs-2972	21	11	maximum	maximum	ADJ
iajs-2972	21	12	likelihood	likelihood	NOUN
iajs-2972	21	13	,	,	PUNCT
iajs-2972	21	14	percentile	percentile	ADJ
iajs-2972	21	15	,	,	PUNCT
iajs-2972	21	16	and	and	CCONJ
iajs-2972	21	17	least	least	ADJ
iajs-2972	21	18	squares	square	NOUN
iajs-2972	21	19	estimators	estimator	NOUN
iajs-2972	21	20	.	.	PUNCT
iajs-2972	22	1	the	the	DET
iajs-2972	22	2	device	device	NOUN
iajs-2972	22	3	combination	combination	NOUN
iajs-2972	22	4	of	of	ADP
iajs-2972	22	5	k	k	PROPN
iajs-2972	22	6	independent	independent	ADJ
iajs-2972	22	7	components	component	NOUN
iajs-2972	22	8	with	with	ADP
iajs-2972	22	9	the	the	DET
iajs-2972	22	10	strengths	strength	NOUN
iajs-2972	22	11	x1	x1	PROPN
iajs-2972	22	12	,	,	PUNCT
iajs-2972	22	13	x2	x2	PROPN
iajs-2972	22	14	,	,	PUNCT
iajs-2972	22	15	…	…	PUNCT
iajs-2972	22	16	,	,	PUNCT
iajs-2972	22	17	x𝑘	x𝑘	CCONJ
iajs-2972	22	18	and	and	CCONJ
iajs-2972	22	19	each	each	DET
iajs-2972	22	20	component	component	NOUN
iajs-2972	22	21	in	in	ADP
iajs-2972	22	22	the	the	DET
iajs-2972	22	23	system	system	NOUN
iajs-2972	22	24	is	be	AUX
iajs-2972	22	25	subject	subject	ADJ
iajs-2972	22	26	to	to	ADP
iajs-2972	22	27	common	common	ADJ
iajs-2972	22	28	stress	stress	NOUN
iajs-2972	22	29	𝑌.it	𝑌.it	PROPN
iajs-2972	22	30	is	be	AUX
iajs-2972	22	31	termed	term	VERB
iajs-2972	22	32	parallel	parallel	ADJ
iajs-2972	22	33	in	in	ADP
iajs-2972	22	34	the	the	DET
iajs-2972	22	35	analogy	analogy	NOUN
iajs-2972	22	36	with	with	ADP
iajs-2972	22	37	electric	electric	ADJ
iajs-2972	22	38	circuits	circuit	NOUN
iajs-2972	22	39	when	when	SCONJ
iajs-2972	22	40	the	the	DET
iajs-2972	22	41	system	system	NOUN
iajs-2972	22	42	operates	operate	VERB
iajs-2972	22	43	successfully	successfully	ADV
iajs-2972	22	44	whenever	whenever	SCONJ
iajs-2972	22	45	at	at	ADV
iajs-2972	22	46	least	least	ADV
iajs-2972	22	47	one	one	NUM
iajs-2972	22	48	of	of	ADP
iajs-2972	22	49	the	the	DET
iajs-2972	22	50	components	component	NOUN
iajs-2972	22	51	survives	survive	VERB
iajs-2972	22	52	.	.	PUNCT
iajs-2972	23	1	consequently	consequently	ADV
iajs-2972	23	2	,	,	PUNCT
iajs-2972	23	3	this	this	DET
iajs-2972	23	4	model	model	NOUN
iajs-2972	23	5	is	be	AUX
iajs-2972	23	6	called	call	VERB
iajs-2972	23	7	the	the	DET
iajs-2972	23	8	parallel	parallel	ADJ
iajs-2972	23	9	stress	stress	NOUN
iajs-2972	23	10	-	-	PUNCT
iajs-2972	23	11	strength	strength	NOUN
iajs-2972	23	12	model	model	NOUN
iajs-2972	23	13	[	[	X
iajs-2972	23	14	8	8	NUM
iajs-2972	23	15	]	]	PUNCT
iajs-2972	23	16	.	.	PUNCT
iajs-2972	24	1	this	this	DET
iajs-2972	24	2	paper	paper	NOUN
iajs-2972	24	3	aims	aim	VERB
iajs-2972	24	4	to	to	PART
iajs-2972	24	5	estimate	estimate	VERB
iajs-2972	24	6	the	the	DET
iajs-2972	24	7	reliability	reliability	NOUN
iajs-2972	24	8	of	of	ADP
iajs-2972	24	9	the	the	DET
iajs-2972	24	10	system	system	NOUN
iajs-2972	24	11	containing	contain	VERB
iajs-2972	24	12	kth	kth	PROPN
iajs-2972	24	13	parallel	parallel	ADJ
iajs-2972	24	14	components	component	NOUN
iajs-2972	24	15	that	that	PRON
iajs-2972	24	16	have	have	VERB
iajs-2972	24	17	strengths	strength	NOUN
iajs-2972	24	18	x1	x1	PROPN
iajs-2972	24	19	,	,	PUNCT
iajs-2972	24	20	x2	x2	PROPN
iajs-2972	24	21	,	,	PUNCT
iajs-2972	24	22	…	…	PUNCT
iajs-2972	24	23	,	,	PUNCT
iajs-2972	24	24	x𝑘	x𝑘	CCONJ
iajs-2972	24	25	subject	subject	ADJ
iajs-2972	24	26	to	to	ADP
iajs-2972	24	27	a	a	DET
iajs-2972	24	28	common	common	ADJ
iajs-2972	24	29	stress	stress	NOUN
iajs-2972	24	30	𝑌	𝑌	PROPN
iajs-2972	24	31	when	when	SCONJ
iajs-2972	24	32	the	the	DET
iajs-2972	24	33	strengths	strength	NOUN
iajs-2972	24	34	and	and	CCONJ
iajs-2972	24	35	stress	stress	NOUN
iajs-2972	24	36	follow	follow	VERB
iajs-2972	24	37	the	the	DET
iajs-2972	24	38	inverse	inverse	NOUN
iajs-2972	24	39	kumaraswamy	kumaraswamy	NOUN
iajs-2972	24	40	distribution	distribution	NOUN
iajs-2972	24	41	.	.	PUNCT
iajs-2972	25	1	hence	hence	ADV
iajs-2972	25	2	,	,	PUNCT
iajs-2972	25	3	the	the	DET
iajs-2972	25	4	organization	organization	NOUN
iajs-2972	25	5	of	of	ADP
iajs-2972	25	6	this	this	DET
iajs-2972	25	7	paper	paper	NOUN
iajs-2972	25	8	:	:	PUNCT
iajs-2972	25	9	section	section	NOUN
iajs-2972	25	10	2	2	NUM
iajs-2972	25	11	displays	display	NOUN
iajs-2972	25	12	inverse	inverse	ADJ
iajs-2972	25	13	kumaraswamy	kumaraswamy	ADJ
iajs-2972	25	14	distribution	distribution	NOUN
iajs-2972	25	15	.	.	PUNCT
iajs-2972	26	1	section	section	NOUN
iajs-2972	26	2	3	3	NUM
iajs-2972	26	3	includes	include	VERB
iajs-2972	26	4	the	the	DET
iajs-2972	26	5	formula	formula	NOUN
iajs-2972	26	6	of	of	ADP
iajs-2972	26	7	the	the	DET
iajs-2972	26	8	system	system	NOUN
iajs-2972	26	9	reliability	reliability	NOUN
iajs-2972	26	10	in	in	ADP
iajs-2972	26	11	the	the	DET
iajs-2972	26	12	s	s	PROPN
iajs-2972	26	13	-	-	PUNCT
iajs-2972	26	14	s	s	PART
iajs-2972	26	15	model	model	NOUN
iajs-2972	26	16	.	.	PUNCT
iajs-2972	27	1	section	section	NOUN
iajs-2972	27	2	4	4	NUM
iajs-2972	27	3	contains	contain	VERB
iajs-2972	27	4	shrinkage	shrinkage	NOUN
iajs-2972	27	5	estimation	estimation	NOUN
iajs-2972	27	6	methods	method	NOUN
iajs-2972	27	7	,	,	PUNCT
iajs-2972	27	8	while	while	SCONJ
iajs-2972	27	9	simulation	simulation	NOUN
iajs-2972	27	10	studies	study	NOUN
iajs-2972	27	11	are	be	AUX
iajs-2972	27	12	in	in	ADP
iajs-2972	27	13	section	section	NOUN
iajs-2972	27	14	5	5	NUM
iajs-2972	27	15	.	.	PUNCT
iajs-2972	28	1	the	the	DET
iajs-2972	28	2	efficiency	efficiency	NOUN
iajs-2972	28	3	of	of	ADP
iajs-2972	28	4	the	the	DET
iajs-2972	28	5	user	user	NOUN
iajs-2972	28	6	method	method	NOUN
iajs-2972	28	7	appeared	appear	VERB
iajs-2972	28	8	in	in	ADP
iajs-2972	28	9	section	section	NOUN
iajs-2972	28	10	6	6	NUM
iajs-2972	28	11	.	.	PUNCT
iajs-2972	29	1	lastly	lastly	ADV
iajs-2972	29	2	,	,	PUNCT
iajs-2972	29	3	in	in	ADP
iajs-2972	29	4	section	section	NOUN
iajs-2972	29	5	7	7	NUM
iajs-2972	29	6	,	,	PUNCT
iajs-2972	29	7	a	a	DET
iajs-2972	29	8	conclusion	conclusion	NOUN
iajs-2972	29	9	is	be	AUX
iajs-2972	29	10	delivered	deliver	VERB
iajs-2972	29	11	.	.	PUNCT
iajs-2972	30	1	2	2	X
iajs-2972	30	2	.	.	X
iajs-2972	30	3	inverse	inverse	NOUN
iajs-2972	30	4	kumaraswamy	kumaraswamy	NOUN
iajs-2972	30	5	distribution	distribution	NOUN
iajs-2972	30	6	the	the	DET
iajs-2972	30	7	kumaraswamy	kumaraswamy	ADJ
iajs-2972	30	8	distribution	distribution	NOUN
iajs-2972	30	9	was	be	AUX
iajs-2972	30	10	defined	define	VERB
iajs-2972	30	11	by	by	ADP
iajs-2972	30	12	ponndi	ponndi	NOUN
iajs-2972	30	13	kumaraswamy	kumaraswamy	NOUN
iajs-2972	30	14	in	in	ADP
iajs-2972	30	15	1980	1980	NUM
iajs-2972	30	16	[	[	X
iajs-2972	30	17	9	9	NUM
iajs-2972	30	18	]	]	PUNCT
iajs-2972	30	19	.	.	PUNCT
iajs-2972	31	1	the	the	DET
iajs-2972	31	2	kumaraswamy	kumaraswamy	ADJ
iajs-2972	31	3	distribution	distribution	NOUN
iajs-2972	31	4	is	be	AUX
iajs-2972	31	5	like	like	ADP
iajs-2972	31	6	the	the	DET
iajs-2972	31	7	beta	beta	ADJ
iajs-2972	31	8	distribution	distribution	NOUN
iajs-2972	31	9	in	in	ADP
iajs-2972	31	10	many	many	ADJ
iajs-2972	31	11	ways	way	NOUN
iajs-2972	31	12	[	[	X
iajs-2972	31	13	10	10	NUM
iajs-2972	31	14	]	]	PUNCT
iajs-2972	31	15	.	.	PUNCT
iajs-2972	32	1	then	then	ADV
iajs-2972	32	2	,	,	PUNCT
iajs-2972	32	3	[	[	X
iajs-2972	32	4	11	11	NUM
iajs-2972	32	5	]	]	PUNCT
iajs-2972	32	6	introduced	introduce	VERB
iajs-2972	32	7	the	the	DET
iajs-2972	32	8	inverse	inverse	NOUN
iajs-2972	32	9	kumd	kumd	NOUN
iajs-2972	32	10	using	use	VERB
iajs-2972	32	11	the	the	DET
iajs-2972	32	12	𝑋	𝑋	NOUN
iajs-2972	32	13	=	=	PUNCT
iajs-2972	32	14	1−𝑇	1−𝑇	NUM
iajs-2972	32	15	𝑇	𝑇	NOUN
iajs-2972	32	16	transformation	transformation	NOUN
iajs-2972	32	17	;	;	PUNCT
iajs-2972	32	18	𝑇~kumd	𝑇~kumd	NOUN
iajs-2972	32	19	(	(	PUNCT
iajs-2972	32	20	α	α	NOUN
iajs-2972	32	21	,	,	PUNCT
iajs-2972	32	22	β	β	NOUN
iajs-2972	32	23	)	)	PUNCT
iajs-2972	32	24	.	.	PUNCT
iajs-2972	33	1	the	the	DET
iajs-2972	33	2	probability	probability	NOUN
iajs-2972	33	3	density	density	NOUN
iajs-2972	33	4	function	function	NOUN
iajs-2972	33	5	(	(	PUNCT
iajs-2972	33	6	pdf	pdf	NOUN
iajs-2972	33	7	)	)	PUNCT
iajs-2972	33	8	and	and	CCONJ
iajs-2972	33	9	cumulative	cumulative	ADJ
iajs-2972	33	10	distribution	distribution	NOUN
iajs-2972	33	11	function	function	NOUN
iajs-2972	33	12	(	(	PUNCT
iajs-2972	33	13	cdf	cdf	PROPN
iajs-2972	33	14	)	)	PUNCT
iajs-2972	33	15	of	of	ADP
iajs-2972	33	16	a	a	DET
iajs-2972	33	17	r.v	r.v	PROPN
iajs-2972	33	18	.	.	PUNCT
iajs-2972	33	19	𝑋	𝑋	PROPN
iajs-2972	33	20	,	,	PUNCT
iajs-2972	33	21	x~	x~	PROPN
iajs-2972	33	22	ikum	ikum	ADJ
iajs-2972	33	23	(	(	PUNCT
iajs-2972	33	24	α	α	NOUN
iajs-2972	33	25	,	,	PUNCT
iajs-2972	33	26	β	β	NOUN
iajs-2972	33	27	)	)	PUNCT
iajs-2972	33	28	can	can	AUX
iajs-2972	33	29	be	be	AUX
iajs-2972	33	30	written	write	VERB
iajs-2972	33	31	,	,	PUNCT
iajs-2972	33	32	respectively	respectively	ADV
iajs-2972	33	33	as	as	ADP
iajs-2972	33	34	[	[	X
iajs-2972	33	35	12	12	NUM
iajs-2972	33	36	]	]	PUNCT
iajs-2972	33	37	,	,	PUNCT
iajs-2972	33	38	[	[	X
iajs-2972	33	39	13	13	NUM
iajs-2972	33	40	]	]	NUM
iajs-2972	33	41	:	:	PUNCT
iajs-2972	33	42	𝑓(𝑥	𝑓(𝑥	NOUN
iajs-2972	33	43	,	,	PUNCT
iajs-2972	33	44	𝛼	𝛼	X
iajs-2972	33	45	,	,	PUNCT
iajs-2972	33	46	𝛽	𝛽	NOUN
iajs-2972	33	47	)	)	PUNCT
iajs-2972	33	48	=	=	PUNCT
iajs-2972	33	49	𝛼𝛽(1	𝛼𝛽(1	PROPN
iajs-2972	33	50	+	+	CCONJ
iajs-2972	33	51	𝑥)−(𝛼+1)(1	𝑥)−(𝛼+1)(1	ADP
iajs-2972	33	52	−	−	PROPN
iajs-2972	33	53	(	(	PUNCT
iajs-2972	33	54	1	1	NUM
iajs-2972	33	55	+	+	NUM
iajs-2972	33	56	𝑥)−𝛼)𝛽−1	𝑥)−𝛼)𝛽−1	NOUN
iajs-2972	33	57	,	,	PUNCT
iajs-2972	33	58	𝑥	𝑥	X
iajs-2972	33	59	>	>	X
iajs-2972	33	60	0	0	NUM
iajs-2972	33	61	;	;	PUNCT
iajs-2972	33	62	𝛼	𝛼	X
iajs-2972	33	63	,	,	PUNCT
iajs-2972	33	64	𝛽	𝛽	NOUN
iajs-2972	33	65	>	>	X
iajs-2972	33	66	0	0	PUNCT
iajs-2972	34	1	(	(	PUNCT
iajs-2972	34	2	1	1	NUM
iajs-2972	34	3	)	)	PUNCT
iajs-2972	34	4	𝐹(𝑥	𝐹(𝑥	NUM
iajs-2972	34	5	;	;	PUNCT
iajs-2972	34	6	𝛼	𝛼	X
iajs-2972	34	7	,	,	PUNCT
iajs-2972	34	8	𝛽	𝛽	NOUN
iajs-2972	34	9	)	)	PUNCT
iajs-2972	34	10	=	=	PUNCT
iajs-2972	35	1	(	(	PUNCT
iajs-2972	35	2	1	1	NUM
iajs-2972	35	3	−	−	PROPN
iajs-2972	35	4	(	(	PUNCT
iajs-2972	35	5	1	1	NUM
iajs-2972	35	6	+	+	NUM
iajs-2972	35	7	𝑥)−𝛼)𝛽	𝑥)−𝛼)𝛽	NOUN
iajs-2972	35	8	,	,	PUNCT
iajs-2972	35	9	𝑥	𝑥	PROPN
iajs-2972	35	10	>	>	X
iajs-2972	35	11	0	0	NUM
iajs-2972	35	12	,	,	PUNCT
iajs-2972	35	13	𝛼	𝛼	PROPN
iajs-2972	35	14	,	,	PUNCT
iajs-2972	35	15	𝛽	𝛽	NOUN
iajs-2972	35	16	>	>	X
iajs-2972	35	17	0	0	PUNCT
iajs-2972	35	18	(	(	PUNCT
iajs-2972	35	19	2	2	NUM
iajs-2972	35	20	)	)	PUNCT
iajs-2972	35	21	ihjpas	ihjpa	NOUN
iajs-2972	35	22	.	.	PUNCT
iajs-2972	36	1	36(1)2023	36(1)2023	NUM
iajs-2972	36	2	274	274	NUM
iajs-2972	36	3	where	where	SCONJ
iajs-2972	36	4	β	β	PRON
iajs-2972	36	5	and	and	CCONJ
iajs-2972	36	6	α	α	PROPN
iajs-2972	36	7	are	be	AUX
iajs-2972	36	8	shape	shape	NOUN
iajs-2972	36	9	parameters	parameter	NOUN
iajs-2972	36	10	.	.	PUNCT
iajs-2972	37	1	3	3	X
iajs-2972	37	2	.	.	X
iajs-2972	37	3	reliability	reliability	NOUN
iajs-2972	37	4	system	system	NOUN
iajs-2972	37	5	of	of	ADP
iajs-2972	37	6	parallel	parallel	ADJ
iajs-2972	37	7	s	s	PROPN
iajs-2972	37	8	-	-	PUNCT
iajs-2972	37	9	s	s	NOUN
iajs-2972	37	10	model	model	NOUN
iajs-2972	37	11	we	we	PRON
iajs-2972	37	12	assume	assume	VERB
iajs-2972	37	13	a	a	DET
iajs-2972	37	14	system	system	NOUN
iajs-2972	37	15	having	have	VERB
iajs-2972	37	16	𝐾𝑡ℎ	𝐾𝑡ℎ	PROPN
iajs-2972	37	17	components	component	NOUN
iajs-2972	37	18	with	with	ADP
iajs-2972	37	19	strengths	strength	NOUN
iajs-2972	37	20	𝑋1	𝑋1	PROPN
iajs-2972	37	21	,	,	PUNCT
iajs-2972	37	22	𝑋2	𝑋2	VERB
iajs-2972	37	23	,	,	PUNCT
iajs-2972	37	24	…	…	PUNCT
iajs-2972	37	25	,	,	PUNCT
iajs-2972	37	26	𝑋𝑘	𝑋𝑘	PROPN
iajs-2972	37	27	independently	independently	ADV
iajs-2972	37	28	distributed	distribute	VERB
iajs-2972	37	29	inverse	inverse	NOUN
iajs-2972	37	30	kumaraswamy	kumaraswamy	NOUN
iajs-2972	37	31	random	random	ADJ
iajs-2972	37	32	variables	variable	NOUN
iajs-2972	37	33	with	with	ADP
iajs-2972	37	34	unknown	unknown	ADJ
iajs-2972	37	35	shape	shape	NOUN
iajs-2972	37	36	parameter	parameter	NOUN
iajs-2972	37	37	𝛽𝑖	𝛽𝑖	NOUN
iajs-2972	37	38	,	,	PUNCT
iajs-2972	37	39	𝑖=	𝑖=	NOUN
iajs-2972	37	40	1,2	1,2	NUM
iajs-2972	37	41	,	,	PUNCT
iajs-2972	37	42	…	…	PUNCT
iajs-2972	37	43	,	,	PUNCT
iajs-2972	37	44	𝑘	𝑘	X
iajs-2972	37	45	and	and	CCONJ
iajs-2972	37	46	known	know	VERB
iajs-2972	37	47	other	other	ADJ
iajs-2972	37	48	shape	shape	NOUN
iajs-2972	37	49	parameter	parameter	NOUN
iajs-2972	37	50	𝛼	𝛼	PRON
iajs-2972	37	51	subjected	subject	VERB
iajs-2972	37	52	to	to	PART
iajs-2972	37	53	stress	stress	VERB
iajs-2972	37	54	random	random	ADJ
iajs-2972	37	55	variable	variable	NOUN
iajs-2972	37	56	𝑌	𝑌	PROPN
iajs-2972	37	57	such	such	ADJ
iajs-2972	37	58	that	that	SCONJ
iajs-2972	37	59	𝑌~𝐼𝐾𝑢𝑚𝐷(𝛼	𝑌~𝐼𝐾𝑢𝑚𝐷(𝛼	NOUN
iajs-2972	37	60	,	,	PUNCT
iajs-2972	37	61	𝛽𝑘+1	𝛽𝑘+1	NOUN
iajs-2972	37	62	)	)	PUNCT
iajs-2972	37	63	with	with	ADP
iajs-2972	37	64	unknown	unknown	ADJ
iajs-2972	37	65	shape	shape	NOUN
iajs-2972	37	66	parameter	parameter	NOUN
iajs-2972	37	67	𝛽𝑘+1	𝛽𝑘+1	NOUN
iajs-2972	37	68	and	and	CCONJ
iajs-2972	37	69	known	know	VERB
iajs-2972	37	70	𝛼.	𝛼.	NOUN
iajs-2972	37	71	the	the	DET
iajs-2972	37	72	formula	formula	NOUN
iajs-2972	37	73	of	of	ADP
iajs-2972	37	74	parallel	parallel	ADJ
iajs-2972	37	75	s	s	PROPN
iajs-2972	37	76	-	-	PUNCT
iajs-2972	37	77	s	s	NOUN
iajs-2972	37	78	model	model	NOUN
iajs-2972	37	79	can	can	AUX
iajs-2972	37	80	be	be	AUX
iajs-2972	37	81	derived	derive	VERB
iajs-2972	37	82	as	as	ADP
iajs-2972	37	83	fellows	fellow	NOUN
iajs-2972	37	84	[	[	X
iajs-2972	37	85	14	14	NUM
iajs-2972	37	86	-	-	SYM
iajs-2972	37	87	16	16	NUM
iajs-2972	37	88	]	]	SYM
iajs-2972	37	89	:	:	PUNCT
iajs-2972	37	90	𝑅	𝑅	PROPN
iajs-2972	37	91	=	=	PUNCT
iajs-2972	37	92	𝑃(𝑌	𝑃(𝑌	NOUN
iajs-2972	37	93	<	<	X
iajs-2972	37	94	𝑚𝑎𝑥	𝑚𝑎𝑥	X
iajs-2972	37	95	(	(	PUNCT
iajs-2972	37	96	𝑋1𝑋2	𝑋1𝑋2	PROPN
iajs-2972	37	97	,	,	PUNCT
iajs-2972	37	98	…	…	PUNCT
iajs-2972	37	99	,	,	PUNCT
iajs-2972	37	100	𝑋𝑘	𝑋𝑘	PROPN
iajs-2972	37	101	)	)	PUNCT
iajs-2972	37	102	)	)	PUNCT
iajs-2972	37	103	let	let	VERB
iajs-2972	37	104	𝑍=	𝑍=	PROPN
iajs-2972	37	105	𝑚𝑎𝑥	𝑚𝑎𝑥	ADJ
iajs-2972	37	106	𝑋1𝑋2	𝑋1𝑋2	NOUN
iajs-2972	37	107	,	,	PUNCT
iajs-2972	37	108	…	…	PUNCT
iajs-2972	37	109	,	,	PUNCT
iajs-2972	38	1	𝑋𝑘	𝑋𝑘	PROPN
iajs-2972	38	2	therefore	therefore	ADV
iajs-2972	38	3	,	,	PUNCT
iajs-2972	38	4	𝑅	𝑅	PROPN
iajs-2972	38	5	=	=	PROPN
iajs-2972	38	6	∫	∫	PROPN
iajs-2972	38	7	�	�	PROPN
iajs-2972	38	8	̅	̅	NOUN
iajs-2972	38	9	�	�	NOUN
iajs-2972	38	10	𝑧(𝑦)𝑓(𝑦	𝑧(𝑦)𝑓(𝑦	NUM
iajs-2972	38	11	)	)	PUNCT
iajs-2972	38	12	𝑑𝑦	𝑑𝑦	ADP
iajs-2972	38	13	∞	∞	PROPN
iajs-2972	38	14	0	0	NUM
iajs-2972	38	15	(	(	PUNCT
iajs-2972	38	16	3	3	NUM
iajs-2972	38	17	)	)	PUNCT
iajs-2972	38	18	𝐹𝑧(𝑍	𝐹𝑧(𝑍	PUNCT
iajs-2972	38	19	)	)	PUNCT
iajs-2972	38	20	=	=	SYM
iajs-2972	38	21	𝑃(𝑍	𝑃(𝑍	X
iajs-2972	38	22	<	<	X
iajs-2972	38	23	𝑧	𝑧	NOUN
iajs-2972	38	24	)	)	PUNCT
iajs-2972	38	25	=	=	SYM
iajs-2972	38	26	𝑃(𝑥1	𝑃(𝑥1	X
iajs-2972	38	27	<	<	X
iajs-2972	38	28	𝑧)𝑃(𝑥2	𝑧)𝑃(𝑥2	PROPN
iajs-2972	38	29	<	<	X
iajs-2972	38	30	𝑧	𝑧	NOUN
iajs-2972	38	31	)	)	PUNCT
iajs-2972	38	32	…	…	PUNCT
iajs-2972	38	33	𝑃(𝑥𝑘	𝑃(𝑥𝑘	ADV
iajs-2972	38	34	<	<	X
iajs-2972	38	35	𝑧	𝑧	X
iajs-2972	38	36	)	)	PUNCT
iajs-2972	38	37	=	=	SYM
iajs-2972	38	38	(	(	PUNCT
iajs-2972	38	39	1	1	NUM
iajs-2972	38	40	−	−	NOUN
iajs-2972	38	41	(	(	PUNCT
iajs-2972	38	42	1	1	NUM
iajs-2972	38	43	+	+	NUM
iajs-2972	38	44	𝑧)−𝛼)𝛽1(1	𝑧)−𝛼)𝛽1(1	NUM
iajs-2972	38	45	−	−	PROPN
iajs-2972	38	46	(	(	PUNCT
iajs-2972	38	47	1	1	NUM
iajs-2972	38	48	+	+	NUM
iajs-2972	38	49	𝑧)−𝛼)𝛽2	𝑧)−𝛼)𝛽2	NUM
iajs-2972	38	50	…	…	PUNCT
iajs-2972	38	51	(	(	PUNCT
iajs-2972	38	52	1	1	NUM
iajs-2972	38	53	−	−	NOUN
iajs-2972	38	54	(	(	PUNCT
iajs-2972	38	55	1	1	NUM
iajs-2972	38	56	+	+	CCONJ
iajs-2972	38	57	𝑧)−𝛼)𝛽𝑘	𝑧)−𝛼)𝛽𝑘	X
iajs-2972	38	58	=	=	SYM
iajs-2972	38	59	(	(	PUNCT
iajs-2972	38	60	1	1	NUM
iajs-2972	38	61	−	−	NOUN
iajs-2972	38	62	(	(	PUNCT
iajs-2972	38	63	1	1	NUM
iajs-2972	38	64	+	+	CCONJ
iajs-2972	38	65	𝑧)−𝛼)∑	𝑧)−𝛼)∑	ADJ
iajs-2972	38	66	𝛽𝑖	𝛽𝑖	VERB
iajs-2972	38	67	𝑘	𝑘	PRON
iajs-2972	38	68	𝑖=1	𝑖=1	PROPN
iajs-2972	39	1	this	this	PRON
iajs-2972	39	2	implies	imply	VERB
iajs-2972	39	3	that	that	SCONJ
iajs-2972	39	4	a	a	DET
iajs-2972	39	5	random	random	ADJ
iajs-2972	39	6	variable	variable	ADJ
iajs-2972	39	7	𝑍	𝑍	PROPN
iajs-2972	39	8	follows	follow	VERB
iajs-2972	39	9	ikumd	ikumd	NOUN
iajs-2972	39	10	with	with	ADP
iajs-2972	39	11	the	the	DET
iajs-2972	39	12	parameters	parameter	NOUN
iajs-2972	39	13	𝛼	𝛼	NOUN
iajs-2972	39	14	and	and	CCONJ
iajs-2972	39	15	∑	∑	ADV
iajs-2972	39	16	𝛽𝑖	𝛽𝑖	VERB
iajs-2972	39	17	𝑘	𝑘	PRON
iajs-2972	39	18	𝑖=1	𝑖=1	PROPN
iajs-2972	39	19	.	.	PUNCT
iajs-2972	40	1	then	then	ADV
iajs-2972	40	2	,	,	PUNCT
iajs-2972	40	3	�	�	NOUN
iajs-2972	40	4	̅	̅	NOUN
iajs-2972	40	5	�	�	NOUN
iajs-2972	40	6	𝑧(𝑦	𝑧(𝑦	NOUN
iajs-2972	40	7	)	)	PUNCT
iajs-2972	40	8	=	=	PUNCT
iajs-2972	40	9	(	(	PUNCT
iajs-2972	40	10	1	1	NUM
iajs-2972	40	11	−	−	NOUN
iajs-2972	40	12	(	(	PUNCT
iajs-2972	40	13	1	1	NUM
iajs-2972	40	14	−	−	PROPN
iajs-2972	40	15	(	(	PUNCT
iajs-2972	41	1	1	1	NUM
iajs-2972	41	2	+	+	X
iajs-2972	41	3	𝑦)−𝛼)∑	𝑦)−𝛼)∑	PROPN
iajs-2972	41	4	𝛽𝑖	𝛽𝑖	NOUN
iajs-2972	41	5	𝑘	𝑘	X
iajs-2972	41	6	𝑖=1	𝑖=1	PROPN
iajs-2972	41	7	)	)	PUNCT
iajs-2972	41	8	(	(	PUNCT
iajs-2972	41	9	4	4	X
iajs-2972	41	10	)	)	PUNCT
iajs-2972	41	11	in	in	ADP
iajs-2972	41	12	equation	equation	NOUN
iajs-2972	41	13	(	(	PUNCT
iajs-2972	41	14	3	3	NUM
iajs-2972	41	15	)	)	PUNCT
iajs-2972	41	16	,	,	PUNCT
iajs-2972	41	17	substitute	substitute	NOUN
iajs-2972	41	18	equation	equation	NOUN
iajs-2972	41	19	(	(	PUNCT
iajs-2972	41	20	4	4	NUM
iajs-2972	41	21	)	)	PUNCT
iajs-2972	41	22	and	and	CCONJ
iajs-2972	41	23	equation	equation	NOUN
iajs-2972	41	24	(	(	PUNCT
iajs-2972	41	25	1	1	NUM
iajs-2972	41	26	)	)	PUNCT
iajs-2972	41	27	,	,	PUNCT
iajs-2972	41	28	we	we	PRON
iajs-2972	41	29	get	get	VERB
iajs-2972	41	30	:	:	PUNCT
iajs-2972	41	31	𝑅	𝑅	PROPN
iajs-2972	41	32	=	=	PROPN
iajs-2972	41	33	∫	∫	PROPN
iajs-2972	41	34	(	(	PUNCT
iajs-2972	41	35	1	1	NUM
iajs-2972	41	36	−	−	PROPN
iajs-2972	41	37	(	(	PUNCT
iajs-2972	41	38	1	1	NUM
iajs-2972	41	39	−	−	PROPN
iajs-2972	41	40	(	(	PUNCT
iajs-2972	41	41	1	1	NUM
iajs-2972	41	42	+	+	X
iajs-2972	41	43	𝑦)−𝛼)∑	𝑦)−𝛼)∑	PROPN
iajs-2972	41	44	𝛽𝑖	𝛽𝑖	NOUN
iajs-2972	41	45	𝑘	𝑘	PRON
iajs-2972	41	46	𝑖=1	𝑖=1	PROPN
iajs-2972	41	47	)	)	PUNCT
iajs-2972	41	48	𝛼𝛽𝑘+1(1	𝛼𝛽𝑘+1(1	NOUN
iajs-2972	41	49	−	−	PROPN
iajs-2972	41	50	𝑦)−(𝛼+1)(1	𝑦)−(𝛼+1)(1	PROPN
iajs-2972	41	51	−	−	PROPN
iajs-2972	41	52	(	(	PUNCT
iajs-2972	41	53	1	1	NUM
iajs-2972	41	54	+	+	CCONJ
iajs-2972	41	55	𝑦)−𝛼)𝛽𝑘+1−1	𝑦)−𝛼)𝛽𝑘+1−1	VERB
iajs-2972	41	56	𝑑𝑦	𝑑𝑦	ADP
iajs-2972	41	57	∞	∞	PROPN
iajs-2972	41	58	0	0	PUNCT
iajs-2972	42	1	𝑅	𝑅	PROPN
iajs-2972	42	2	=	=	PROPN
iajs-2972	42	3	∫	∫	PROPN
iajs-2972	42	4	𝛼	𝛼	NOUN
iajs-2972	42	5	∞	∞	PROPN
iajs-2972	42	6	0	0	NUM
iajs-2972	42	7	𝛽𝑘+1(1	𝛽𝑘+1(1	VERB
iajs-2972	42	8	−	−	PROPN
iajs-2972	42	9	𝑦)−(𝛼+1)(1	𝑦)−(𝛼+1)(1	PROPN
iajs-2972	42	10	−	−	PROPN
iajs-2972	42	11	(	(	PUNCT
iajs-2972	42	12	1	1	NUM
iajs-2972	42	13	+	+	CCONJ
iajs-2972	42	14	𝑦)−𝛼)𝛽𝑘+1−1	𝑦)−𝛼)𝛽𝑘+1−1	VERB
iajs-2972	42	15	𝑑𝑦	𝑑𝑦	ADP
iajs-2972	42	16	−	−	PROPN
iajs-2972	42	17	∫	∫	NOUN
iajs-2972	42	18	𝛼𝛽𝑘+1(1	𝛼𝛽𝑘+1(1	NOUN
iajs-2972	42	19	−	−	PROPN
iajs-2972	42	20	𝑦)−(𝛼+1)(1	𝑦)−(𝛼+1)(1	PROPN
iajs-2972	42	21	−	−	PROPN
iajs-2972	42	22	(	(	PUNCT
iajs-2972	42	23	1	1	NUM
iajs-2972	42	24	+	+	NUM
iajs-2972	42	25	∞	∞	NUM
iajs-2972	42	26	0	0	NUM
iajs-2972	42	27	𝑦)−𝛼)∑	𝑦)−𝛼)∑	PROPN
iajs-2972	42	28	𝛽𝑖	𝛽𝑖	NOUN
iajs-2972	42	29	𝑘+1	𝑘+1	NOUN
iajs-2972	42	30	𝑖=1	𝑖=1	PUNCT
iajs-2972	42	31	−1𝑑𝑦	−1𝑑𝑦	CCONJ
iajs-2972	42	32	𝑅	𝑅	NOUN
iajs-2972	42	33	=	=	NOUN
iajs-2972	42	34	1	1	NUM
iajs-2972	42	35	−	−	NUM
iajs-2972	42	36	𝛽𝑘+1	𝛽𝑘+1	NOUN
iajs-2972	42	37	∑	∑	PUNCT
iajs-2972	42	38	𝛽𝑖	𝛽𝑖	VERB
iajs-2972	42	39	𝑘+1	𝑘+1	NUM
iajs-2972	42	40	𝑖=1	𝑖=1	PROPN
iajs-2972	42	41	𝑅	𝑅	PROPN
iajs-2972	42	42	=	=	PUNCT
iajs-2972	42	43	∑	∑	PUNCT
iajs-2972	42	44	𝛽𝑖	𝛽𝑖	VERB
iajs-2972	42	45	𝑘	𝑘	PRON
iajs-2972	42	46	𝑖=1	𝑖=1	PUNCT
iajs-2972	42	47	∑	∑	ADV
iajs-2972	42	48	𝛽𝑖	𝛽𝑖	VERB
iajs-2972	42	49	𝑘+1	𝑘+1	PRON
iajs-2972	42	50	𝑖=1	𝑖=1	PUNCT
iajs-2972	43	1	(	(	PUNCT
iajs-2972	43	2	5	5	X
iajs-2972	43	3	)	)	PUNCT
iajs-2972	43	4	ihjpas	ihjpa	NOUN
iajs-2972	43	5	.	.	PUNCT
iajs-2972	44	1	36(1)2023	36(1)2023	NUM
iajs-2972	44	2	275	275	NUM
iajs-2972	44	3	4	4	NUM
iajs-2972	44	4	.	.	PUNCT
iajs-2972	44	5	estimation	estimation	NOUN
iajs-2972	44	6	methods	method	NOUN
iajs-2972	44	7	for	for	ADP
iajs-2972	44	8	system	system	NOUN
iajs-2972	44	9	reliability	reliability	NOUN
iajs-2972	44	10	4.1	4.1	NUM
iajs-2972	44	11	shrinkage	shrinkage	NOUN
iajs-2972	44	12	estimation	estimation	NOUN
iajs-2972	44	13	method	method	NOUN
iajs-2972	44	14	(	(	PUNCT
iajs-2972	44	15	sh	sh	NOUN
iajs-2972	44	16	)	)	PUNCT
iajs-2972	44	17	in	in	ADP
iajs-2972	44	18	1968	1968	NUM
iajs-2972	44	19	,	,	PUNCT
iajs-2972	44	20	[	[	X
iajs-2972	44	21	17	17	NUM
iajs-2972	44	22	]	]	PUNCT
iajs-2972	44	23	proposed	propose	VERB
iajs-2972	44	24	to	to	PART
iajs-2972	44	25	shrink	shrink	VERB
iajs-2972	44	26	the	the	DET
iajs-2972	44	27	usual	usual	ADJ
iajs-2972	44	28	estimator	estimator	NOUN
iajs-2972	44	29	β̂	β̂	X
iajs-2972	44	30	(	(	PUNCT
iajs-2972	44	31	ex	ex	X
iajs-2972	44	32	.	.	NOUN
iajs-2972	44	33	mle	mle	PROPN
iajs-2972	44	34	or	or	CCONJ
iajs-2972	44	35	unbiased	unbiased	ADJ
iajs-2972	44	36	estimator	estimator	NOUN
iajs-2972	44	37	)	)	PUNCT
iajs-2972	44	38	of	of	ADP
iajs-2972	44	39	the	the	DET
iajs-2972	44	40	parameter	parameter	NOUN
iajs-2972	44	41	β	β	PROPN
iajs-2972	44	42	to	to	ADP
iajs-2972	44	43	prior	prior	ADJ
iajs-2972	44	44	information	information	NOUN
iajs-2972	44	45	𝛽0	𝛽0	NOUN
iajs-2972	44	46	using	use	VERB
iajs-2972	44	47	shrinkage	shrinkage	NOUN
iajs-2972	44	48	weight	weight	NOUN
iajs-2972	44	49	factor	factor	NOUN
iajs-2972	44	50	ψ(β̂	ψ(β̂	NOUN
iajs-2972	44	51	)	)	PUNCT
iajs-2972	44	52	,	,	PUNCT
iajs-2972	44	53	such	such	ADJ
iajs-2972	44	54	that	that	DET
iajs-2972	44	55	0≤	0≤	NUM
iajs-2972	44	56	ψ(β̂	ψ(β̂	NOUN
iajs-2972	44	57	)	)	PUNCT
iajs-2972	44	58	≤1	≤1	PROPN
iajs-2972	44	59	.	.	PUNCT
iajs-2972	45	1	thompson	thompson	PROPN
iajs-2972	45	2	says	say	VERB
iajs-2972	45	3	that	that	SCONJ
iajs-2972	45	4	:	:	PUNCT
iajs-2972	45	5	"	"	PUNCT
iajs-2972	45	6	we	we	PRON
iajs-2972	45	7	are	be	AUX
iajs-2972	45	8	estimating	estimate	VERB
iajs-2972	45	9	β	β	NOUN
iajs-2972	45	10	and	and	CCONJ
iajs-2972	45	11	we	we	PRON
iajs-2972	45	12	believe	believe	VERB
iajs-2972	45	13	β0	β0	PROPN
iajs-2972	45	14	is	be	AUX
iajs-2972	45	15	closed	close	VERB
iajs-2972	45	16	to	to	ADP
iajs-2972	45	17	the	the	DET
iajs-2972	45	18	true	true	ADJ
iajs-2972	45	19	value	value	NOUN
iajs-2972	45	20	of	of	ADP
iajs-2972	45	21	β	β	X
iajs-2972	45	22	and	and	CCONJ
iajs-2972	45	23	something	something	PRON
iajs-2972	45	24	bad	bad	ADJ
iajs-2972	45	25	happens	happen	VERB
iajs-2972	45	26	when	when	SCONJ
iajs-2972	45	27	β0	β0	PROPN
iajs-2972	45	28	≈	≈	PROPN
iajs-2972	45	29	β	β	PROPN
iajs-2972	46	1	and	and	CCONJ
iajs-2972	46	2	we	we	PRON
iajs-2972	46	3	do	do	AUX
iajs-2972	46	4	not	not	PART
iajs-2972	46	5	use	use	VERB
iajs-2972	46	6	β0	β0	NOUN
iajs-2972	46	7	"	"	PUNCT
iajs-2972	46	8	.	.	PUNCT
iajs-2972	47	1	thus	thus	ADV
iajs-2972	47	2	,	,	PUNCT
iajs-2972	47	3	thompson	thompson	PROPN
iajs-2972	47	4	gave	give	VERB
iajs-2972	47	5	the	the	DET
iajs-2972	47	6	form	form	NOUN
iajs-2972	47	7	of	of	ADP
iajs-2972	47	8	shrinkage	shrinkage	NOUN
iajs-2972	47	9	estimator	estimator	NOUN
iajs-2972	47	10	of	of	ADP
iajs-2972	47	11	β	β	PROPN
iajs-2972	47	12	say	say	VERB
iajs-2972	47	13	β̂sh	β̂sh	PUNCT
iajs-2972	47	14	as	as	ADP
iajs-2972	47	15	below	below	ADV
iajs-2972	47	16	:	:	PUNCT
iajs-2972	47	17	β̂sh	β̂sh	X
iajs-2972	47	18	=	=	SYM
iajs-2972	48	1	ψ(β̂)β̂𝑢𝑏	ψ(β̂)β̂𝑢𝑏	PUNCT
iajs-2972	48	2	+	+	CCONJ
iajs-2972	48	3	(	(	PUNCT
iajs-2972	48	4	1	1	NUM
iajs-2972	48	5	−	−	NOUN
iajs-2972	48	6	ψ(β̂))β0	ψ(β̂))β0	X
iajs-2972	48	7	(	(	PUNCT
iajs-2972	48	8	6	6	NUM
iajs-2972	48	9	)	)	PUNCT
iajs-2972	48	10	unbiased	unbiased	ADJ
iajs-2972	48	11	estimator	estimator	NOUN
iajs-2972	48	12	β̂𝑢𝑏	β̂𝑢𝑏	PROPN
iajs-2972	48	13	was	be	AUX
iajs-2972	48	14	applied	apply	VERB
iajs-2972	48	15	as	as	ADP
iajs-2972	48	16	the	the	DET
iajs-2972	48	17	usual	usual	ADJ
iajs-2972	48	18	estimator	estimator	NOUN
iajs-2972	48	19	of	of	ADP
iajs-2972	48	20	β	β	PROPN
iajs-2972	48	21	,	,	PUNCT
iajs-2972	48	22	and	and	CCONJ
iajs-2972	48	23	β0	β0	NOUN
iajs-2972	48	24	is	be	AUX
iajs-2972	48	25	a	a	DET
iajs-2972	48	26	very	very	ADV
iajs-2972	48	27	closed	closed	ADJ
iajs-2972	48	28	value	value	NOUN
iajs-2972	48	29	of	of	ADP
iajs-2972	48	30	β	β	PROPN
iajs-2972	48	31	as	as	ADP
iajs-2972	48	32	prior	prior	ADJ
iajs-2972	48	33	information	information	NOUN
iajs-2972	48	34	due	due	ADP
iajs-2972	48	35	to	to	ADP
iajs-2972	48	36	previous	previous	ADJ
iajs-2972	48	37	studies	study	NOUN
iajs-2972	48	38	or	or	CCONJ
iajs-2972	48	39	experience	experience	NOUN
iajs-2972	48	40	and	and	CCONJ
iajs-2972	48	41	ψ	ψ	X
iajs-2972	48	42	(	(	PUNCT
iajs-2972	48	43	β̂	β̂	PROPN
iajs-2972	48	44	)	)	PUNCT
iajs-2972	48	45	denote	denote	VERB
iajs-2972	48	46	the	the	DET
iajs-2972	48	47	shrinkage	shrinkage	NOUN
iajs-2972	48	48	weight	weight	NOUN
iajs-2972	48	49	factor	factor	NOUN
iajs-2972	48	50	as	as	SCONJ
iajs-2972	48	51	we	we	PRON
iajs-2972	48	52	mentioned	mention	VERB
iajs-2972	48	53	above	above	ADP
iajs-2972	48	54	such	such	ADJ
iajs-2972	48	55	that	that	DET
iajs-2972	48	56	0	0	NUM
iajs-2972	48	57	≤	≤	NUM
iajs-2972	48	58	ψ(β̂	ψ(β̂	NOUN
iajs-2972	48	59	)	)	PUNCT
iajs-2972	48	60	≤	≤	NUM
iajs-2972	48	61	1	1	NUM
iajs-2972	48	62	,	,	PUNCT
iajs-2972	48	63	which	which	PRON
iajs-2972	48	64	may	may	AUX
iajs-2972	48	65	be	be	AUX
iajs-2972	48	66	a	a	DET
iajs-2972	48	67	function	function	NOUN
iajs-2972	48	68	of	of	ADP
iajs-2972	48	69	β̂𝑢𝑏	β̂𝑢𝑏	NOUN
iajs-2972	48	70	:	:	PUNCT
iajs-2972	48	71	a	a	DET
iajs-2972	48	72	function	function	NOUN
iajs-2972	48	73	of	of	ADP
iajs-2972	48	74	sample	sample	NOUN
iajs-2972	48	75	size	size	NOUN
iajs-2972	48	76	or	or	CCONJ
iajs-2972	48	77	may	may	AUX
iajs-2972	48	78	be	be	AUX
iajs-2972	48	79	constant	constant	ADJ
iajs-2972	48	80	.	.	PUNCT
iajs-2972	49	1	also	also	ADV
iajs-2972	49	2	,	,	PUNCT
iajs-2972	49	3	it	it	PRON
iajs-2972	49	4	is	be	AUX
iajs-2972	49	5	possible	possible	ADJ
iajs-2972	49	6	to	to	PART
iajs-2972	49	7	find	find	VERB
iajs-2972	49	8	ψ(β̂	ψ(β̂	NOUN
iajs-2972	49	9	)	)	PUNCT
iajs-2972	49	10	through	through	ADP
iajs-2972	49	11	minimizing	minimize	VERB
iajs-2972	49	12	the	the	DET
iajs-2972	49	13	mean	mean	ADJ
iajs-2972	49	14	square	square	ADJ
iajs-2972	49	15	error	error	NOUN
iajs-2972	49	16	of	of	ADP
iajs-2972	49	17	β̂𝑠ℎ	β̂𝑠ℎ	PROPN
iajs-2972	49	18	(	(	PUNCT
iajs-2972	49	19	ad	ad	X
iajs-2972	49	20	hoc	hoc	X
iajs-2972	49	21	basis	basis	NOUN
iajs-2972	49	22	)	)	PUNCT
iajs-2972	50	1	[	[	X
iajs-2972	50	2	18	18	NUM
iajs-2972	50	3	-	-	SYM
iajs-2972	50	4	20	20	NUM
iajs-2972	50	5	]	]	PUNCT
iajs-2972	50	6	.	.	PUNCT
iajs-2972	51	1	note	note	VERB
iajs-2972	51	2	that	that	SCONJ
iajs-2972	51	3	β̂𝑖𝑢𝑏	β̂𝑖𝑢𝑏	ADP
iajs-2972	51	4	of	of	ADP
iajs-2972	51	5	the	the	DET
iajs-2972	51	6	strengths	strength	NOUN
iajs-2972	51	7	𝑋1	𝑋1	PROPN
iajs-2972	51	8	,	,	PUNCT
iajs-2972	51	9	𝑋2	𝑋2	VERB
iajs-2972	51	10	,	,	PUNCT
iajs-2972	51	11	…	…	PUNCT
iajs-2972	51	12	,	,	PUNCT
iajs-2972	51	13	𝑋𝑘	𝑋𝑘	PROPN
iajs-2972	51	14	can	can	AUX
iajs-2972	51	15	be	be	AUX
iajs-2972	51	16	found	find	VERB
iajs-2972	51	17	depending	depend	VERB
iajs-2972	51	18	on	on	ADP
iajs-2972	51	19	observation	observation	NOUN
iajs-2972	51	20	𝑋𝑖𝑗	𝑋𝑖𝑗	NOUN
iajs-2972	51	21	,	,	PUNCT
iajs-2972	51	22	𝑖=	𝑖=	NOUN
iajs-2972	51	23	1,2	1,2	NUM
iajs-2972	51	24	,	,	PUNCT
iajs-2972	51	25	…	…	PUNCT
iajs-2972	51	26	,	,	PUNCT
iajs-2972	51	27	𝑘	𝑘	NOUN
iajs-2972	51	28	and	and	CCONJ
iajs-2972	51	29	𝑗	𝑗	NOUN
iajs-2972	51	30	=	=	SYM
iajs-2972	51	31	1,2	1,2	NUM
iajs-2972	51	32	,	,	PUNCT
iajs-2972	51	33	…	…	PUNCT
iajs-2972	51	34	,	,	PUNCT
iajs-2972	51	35	𝑛𝑖	𝑛𝑖	PROPN
iajs-2972	51	36	as	as	ADP
iajs-2972	51	37	below	below	ADV
iajs-2972	51	38	:	:	PUNCT
iajs-2972	51	39	�	�	PROPN
iajs-2972	51	40	̂	̂	VERB
iajs-2972	51	41	�	�	NOUN
iajs-2972	51	42	𝑖𝑢𝑏	𝑖𝑢𝑏	NOUN
iajs-2972	51	43	=	=	NOUN
iajs-2972	51	44	𝑛𝑖−1	𝑛𝑖−1	NOUN
iajs-2972	51	45	−	−	PROPN
iajs-2972	51	46	∑	∑	PUNCT
iajs-2972	51	47	ln(1−(1+𝑥𝑖𝑗	ln(1−(1+𝑥𝑖𝑗	NUM
iajs-2972	51	48	)	)	PUNCT
iajs-2972	51	49	−𝛼	−𝛼	PROPN
iajs-2972	51	50	)	)	PUNCT
iajs-2972	51	51	𝑛𝑖	𝑛𝑖	PROPN
iajs-2972	52	1	𝑗=1	𝑗=1	PROPN
iajs-2972	52	2	(	(	PUNCT
iajs-2972	52	3	7	7	X
iajs-2972	52	4	)	)	PUNCT
iajs-2972	52	5	likewise	likewise	ADV
iajs-2972	52	6	�	�	PROPN
iajs-2972	52	7	̂	̂	SYM
iajs-2972	52	8	�	�	NOUN
iajs-2972	52	9	𝑘+1𝑢𝑏	𝑘+1𝑢𝑏	NOUN
iajs-2972	52	10	of	of	ADP
iajs-2972	52	11	the	the	DET
iajs-2972	52	12	stress	stress	NOUN
iajs-2972	52	13	𝑌	𝑌	PROPN
iajs-2972	52	14	can	can	AUX
iajs-2972	52	15	be	be	AUX
iajs-2972	52	16	found	find	VERB
iajs-2972	52	17	depends	depend	VERB
iajs-2972	52	18	on	on	ADP
iajs-2972	52	19	observation	observation	NOUN
iajs-2972	52	20	𝑌𝑟	𝑌𝑟	PROPN
iajs-2972	52	21	,	,	PUNCT
iajs-2972	52	22	r=	r=	ADJ
iajs-2972	52	23	1,2	1,2	NUM
iajs-2972	52	24	,	,	PUNCT
iajs-2972	52	25	…	…	PUNCT
iajs-2972	52	26	,	,	PUNCT
iajs-2972	52	27	𝑛	𝑛	PRON
iajs-2972	52	28	as	as	ADP
iajs-2972	52	29	below	below	ADV
iajs-2972	52	30	:	:	PUNCT
iajs-2972	52	31	�	�	PROPN
iajs-2972	52	32	̂	̂	NOUN
iajs-2972	52	33	�	�	NOUN
iajs-2972	52	34	𝑘+1𝑢𝑏	𝑘+1𝑢𝑏	X
iajs-2972	52	35	=	=	SYM
iajs-2972	52	36	𝑚−1	𝑚−1	PROPN
iajs-2972	52	37	−	−	NOUN
iajs-2972	52	38	∑	∑	PUNCT
iajs-2972	52	39	ln(1−(1+𝑦𝑟)−𝛼)𝑚	ln(1−(1+𝑦𝑟)−𝛼)𝑚	PROPN
iajs-2972	52	40	𝑟=1	𝑟=1	PROPN
iajs-2972	52	41	(	(	PUNCT
iajs-2972	52	42	8)	8)	NUM
iajs-2972	52	43	4.1.1	4.1.1	NUM
iajs-2972	52	44	constant	constant	ADJ
iajs-2972	52	45	shrinkage	shrinkage	NOUN
iajs-2972	52	46	estimation	estimation	NOUN
iajs-2972	52	47	method	method	NOUN
iajs-2972	52	48	(	(	PUNCT
iajs-2972	52	49	sh1	sh1	PROPN
iajs-2972	52	50	)	)	PUNCT
iajs-2972	52	51	as	as	SCONJ
iajs-2972	52	52	we	we	PRON
iajs-2972	52	53	mention	mention	VERB
iajs-2972	52	54	that	that	PRON
iajs-2972	52	55	𝑋𝑖(𝑖=	𝑋𝑖(𝑖=	PROPN
iajs-2972	52	56	1,2	1,2	NUM
iajs-2972	52	57	,	,	PUNCT
iajs-2972	52	58	…	…	PUNCT
iajs-2972	52	59	,	,	PUNCT
iajs-2972	52	60	𝑘	𝑘	X
iajs-2972	52	61	)	)	PUNCT
iajs-2972	52	62	follows	follow	VERB
iajs-2972	52	63	𝐼𝐾𝑢𝑚𝐷	𝐼𝐾𝑢𝑚𝐷	PROPN
iajs-2972	52	64	(	(	PUNCT
iajs-2972	52	65	𝛼	𝛼	PROPN
iajs-2972	52	66	,	,	PUNCT
iajs-2972	52	67	𝛽𝑖	𝛽𝑖	ADJ
iajs-2972	52	68	)	)	PUNCT
iajs-2972	52	69	and	and	CCONJ
iajs-2972	52	70	𝑌~	𝑌~	ADJ
iajs-2972	52	71	𝐼𝐾𝑢𝑚𝐷	𝐼𝐾𝑢𝑚𝐷	PROPN
iajs-2972	52	72	(	(	PUNCT
iajs-2972	52	73	𝛼	𝛼	NOUN
iajs-2972	52	74	,	,	PUNCT
iajs-2972	52	75	𝛽𝑘+1	𝛽𝑘+1	NOUN
iajs-2972	52	76	)	)	PUNCT
iajs-2972	52	77	.	.	PUNCT
iajs-2972	53	1	a	a	DET
iajs-2972	53	2	constant	constant	ADJ
iajs-2972	53	3	shrinkage	shrinkage	NOUN
iajs-2972	53	4	weight	weight	NOUN
iajs-2972	53	5	factor	factor	NOUN
iajs-2972	53	6	ψ(	ψ(	PROPN
iajs-2972	53	7	�	�	PROPN
iajs-2972	53	8	̂	̂	VERB
iajs-2972	53	9	�	�	NOUN
iajs-2972	53	10	𝑖	𝑖	NUM
iajs-2972	53	11	)	)	PUNCT
iajs-2972	53	12	=	=	SYM
iajs-2972	53	13	h	h	NOUN
iajs-2972	54	1	=	=	NOUN
iajs-2972	54	2	0.01	0.01	NUM
iajs-2972	54	3	:	:	PUNCT
iajs-2972	54	4	𝑖=	𝑖=	NOUN
iajs-2972	54	5	1,2	1,2	NUM
iajs-2972	54	6	,	,	PUNCT
iajs-2972	54	7	…	…	PUNCT
iajs-2972	54	8	,	,	PUNCT
iajs-2972	54	9	𝑘	𝑘	X
iajs-2972	54	10	+	+	NOUN
iajs-2972	54	11	1	1	NUM
iajs-2972	54	12	will	will	AUX
iajs-2972	54	13	be	be	AUX
iajs-2972	54	14	suggested	suggest	VERB
iajs-2972	54	15	in	in	ADP
iajs-2972	54	16	this	this	DET
iajs-2972	54	17	subsection	subsection	NOUN
iajs-2972	54	18	.	.	PUNCT
iajs-2972	55	1	then	then	ADV
iajs-2972	55	2	,	,	PUNCT
iajs-2972	55	3	the	the	DET
iajs-2972	55	4	constant	constant	ADJ
iajs-2972	55	5	shrinkage	shrinkage	NOUN
iajs-2972	55	6	estimator	estimator	NOUN
iajs-2972	55	7	for	for	ADP
iajs-2972	55	8	𝛽𝑖	𝛽𝑖	NOUN
iajs-2972	55	9	,	,	PUNCT
iajs-2972	55	10	𝑖=	𝑖=	NOUN
iajs-2972	55	11	1,2	1,2	NUM
iajs-2972	55	12	,	,	PUNCT
iajs-2972	55	13	…	…	PUNCT
iajs-2972	55	14	,	,	PUNCT
iajs-2972	55	15	𝑘	𝑘	X
iajs-2972	55	16	+	+	NOUN
iajs-2972	55	17	1	1	NUM
iajs-2972	55	18	will	will	AUX
iajs-2972	55	19	be	be	AUX
iajs-2972	55	20	:	:	PUNCT
iajs-2972	55	21	�	�	PROPN
iajs-2972	55	22	̂	̂	VERB
iajs-2972	55	23	�	�	PROPN
iajs-2972	55	24	𝑖𝑆ℎ1	𝑖𝑆ℎ1	NOUN
iajs-2972	55	25	=	=	NOUN
iajs-2972	55	26	h	h	NOUN
iajs-2972	55	27	�	�	PROPN
iajs-2972	55	28	̂	̂	NOUN
iajs-2972	55	29	�	�	NOUN
iajs-2972	55	30	𝑖𝑢𝑏	𝑖𝑢𝑏	NOUN
iajs-2972	55	31	+	+	CCONJ
iajs-2972	55	32	(	(	PUNCT
iajs-2972	55	33	1	1	NUM
iajs-2972	55	34	−	−	NOUN
iajs-2972	55	35	h)𝛽𝑖0	h)𝛽𝑖0	PROPN
iajs-2972	55	36	for	for	ADP
iajs-2972	55	37	𝑖=	𝑖=	NOUN
iajs-2972	55	38	1,2	1,2	NUM
iajs-2972	55	39	,	,	PUNCT
iajs-2972	55	40	…	…	PUNCT
iajs-2972	55	41	,	,	PUNCT
iajs-2972	55	42	𝑘	𝑘	X
iajs-2972	55	43	+	+	ADJ
iajs-2972	55	44	1	1	NUM
iajs-2972	55	45	(	(	PUNCT
iajs-2972	55	46	9	9	NUM
iajs-2972	55	47	)	)	PUNCT
iajs-2972	55	48	put	put	VERB
iajs-2972	55	49	the	the	DET
iajs-2972	55	50	equation	equation	NOUN
iajs-2972	55	51	(	(	PUNCT
iajs-2972	55	52	9	9	NUM
iajs-2972	55	53	)	)	PUNCT
iajs-2972	55	54	in	in	ADP
iajs-2972	55	55	equation	equation	NOUN
iajs-2972	55	56	(	(	PUNCT
iajs-2972	55	57	5	5	NUM
iajs-2972	55	58	)	)	PUNCT
iajs-2972	55	59	,	,	PUNCT
iajs-2972	55	60	and	and	CCONJ
iajs-2972	55	61	then	then	ADV
iajs-2972	55	62	the	the	DET
iajs-2972	55	63	constant	constant	ADJ
iajs-2972	55	64	shrinkage	shrinkage	NOUN
iajs-2972	55	65	estimator	estimator	NOUN
iajs-2972	55	66	r̂𝑆ℎ1	r̂𝑆ℎ1	NOUN
iajs-2972	55	67	for	for	ADP
iajs-2972	55	68	system	system	NOUN
iajs-2972	55	69	reliability	reliability	NOUN
iajs-2972	55	70	𝑅	𝑅	PROPN
iajs-2972	55	71	in	in	ADP
iajs-2972	55	72	s	s	PROPN
iajs-2972	55	73	-	-	PUNCT
iajs-2972	55	74	s	s	PART
iajs-2972	55	75	model	model	NOUN
iajs-2972	55	76	consist	consist	VERB
iajs-2972	55	77	𝐾𝑡ℎ	𝐾𝑡ℎ	PRON
iajs-2972	55	78	parallel	parallel	ADJ
iajs-2972	55	79	components	component	NOUN
iajs-2972	55	80	become	become	VERB
iajs-2972	55	81	:	:	PUNCT
iajs-2972	55	82	r̂𝑆ℎ1	r̂𝑆ℎ1	NOUN
iajs-2972	55	83	=	=	SYM
iajs-2972	55	84	∑	∑	PUNCT
iajs-2972	55	85	�	�	PROPN
iajs-2972	55	86	̂	̂	SYM
iajs-2972	55	87	�	�	PROPN
iajs-2972	55	88	𝑖𝑆ℎ1	𝑖𝑆ℎ1	NOUN
iajs-2972	55	89	𝑘	𝑘	X
iajs-2972	55	90	𝑖=1	𝑖=1	PROPN
iajs-2972	55	91	∑	∑	PART
iajs-2972	55	92	�	�	PROPN
iajs-2972	55	93	̂	̂	SYM
iajs-2972	55	94	�	�	NOUN
iajs-2972	55	95	𝑖𝑆ℎ1	𝑖𝑆ℎ1	NOUN
iajs-2972	55	96	𝑘+1	𝑘+1	NUM
iajs-2972	55	97	𝑖=1	𝑖=1	PUNCT
iajs-2972	55	98	(	(	PUNCT
iajs-2972	55	99	10	10	NUM
iajs-2972	55	100	)	)	PUNCT
iajs-2972	55	101	4.1.2	4.1.2	NUM
iajs-2972	55	102	shrinkage	shrinkage	NOUN
iajs-2972	55	103	function	function	NOUN
iajs-2972	55	104	estimator	estimator	NOUN
iajs-2972	55	105	we	we	PRON
iajs-2972	55	106	suggest	suggest	VERB
iajs-2972	55	107	the	the	DET
iajs-2972	55	108	shrinkage	shrinkage	NOUN
iajs-2972	55	109	function	function	NOUN
iajs-2972	55	110	estimator	estimator	NOUN
iajs-2972	55	111	(	(	PUNCT
iajs-2972	55	112	𝑆ℎ2	𝑆ℎ2	NOUN
iajs-2972	55	113	)	)	PUNCT
iajs-2972	55	114	for	for	ADP
iajs-2972	55	115	estimating	estimate	VERB
iajs-2972	55	116	the	the	DET
iajs-2972	55	117	parameters	parameter	NOUN
iajs-2972	55	118	𝛽𝑖(𝑖=	𝛽𝑖(𝑖=	ADJ
iajs-2972	55	119	1,2	1,2	NUM
iajs-2972	55	120	,	,	PUNCT
iajs-2972	55	121	…	…	PUNCT
iajs-2972	55	122	,	,	PUNCT
iajs-2972	55	123	𝑘	𝑘	X
iajs-2972	55	124	+	+	NOUN
iajs-2972	55	125	1	1	NUM
iajs-2972	55	126	)	)	PUNCT
iajs-2972	55	127	,	,	PUNCT
iajs-2972	55	128	and	and	CCONJ
iajs-2972	55	129	the	the	DET
iajs-2972	55	130	reliability	reliability	NOUN
iajs-2972	55	131	system	system	NOUN
iajs-2972	55	132	r	r	NOUN
iajs-2972	55	133	based	base	VERB
iajs-2972	55	134	on	on	ADP
iajs-2972	55	135	the	the	DET
iajs-2972	55	136	shrinkage	shrinkage	NOUN
iajs-2972	55	137	weight	weight	NOUN
iajs-2972	55	138	function	function	NOUN
iajs-2972	55	139	depending	depend	VERB
iajs-2972	55	140	on	on	ADP
iajs-2972	55	141	the	the	DET
iajs-2972	55	142	sample	sample	NOUN
iajs-2972	55	143	size	size	NOUN
iajs-2972	55	144	𝑛𝑖	𝑛𝑖	PROPN
iajs-2972	55	145	and	and	CCONJ
iajs-2972	55	146	𝑚	𝑚	AUX
iajs-2972	55	147	respecting	respect	VERB
iajs-2972	55	148	,	,	PUNCT
iajs-2972	55	149	as	as	ADP
iajs-2972	55	150	below	below	ADV
iajs-2972	55	151	:	:	PUNCT
iajs-2972	55	152	ihjpas	ihjpas	PROPN
iajs-2972	55	153	.	.	PUNCT
iajs-2972	56	1	36(1)2023	36(1)2023	NUM
iajs-2972	56	2	276	276	NUM
iajs-2972	56	3	𝛹	𝛹	PROPN
iajs-2972	56	4	(	(	PUNCT
iajs-2972	56	5	�	�	PROPN
iajs-2972	56	6	̂	̂	NOUN
iajs-2972	56	7	�	�	NOUN
iajs-2972	56	8	𝑖𝑢𝑏	𝑖𝑢𝑏	NOUN
iajs-2972	56	9	)	)	PUNCT
iajs-2972	56	10	=	=	SYM
iajs-2972	56	11	𝑒−𝑛𝑖	𝑒−𝑛𝑖	PROPN
iajs-2972	56	12	for	for	ADP
iajs-2972	56	13	i=	i=	PROPN
iajs-2972	56	14	1	1	NUM
iajs-2972	56	15	,	,	PUNCT
iajs-2972	56	16	2	2	NUM
iajs-2972	56	17	,	,	PUNCT
iajs-2972	56	18	…	…	PUNCT
iajs-2972	56	19	,	,	PUNCT
iajs-2972	56	20	𝑘	𝑘	NOUN
iajs-2972	56	21	and	and	CCONJ
iajs-2972	56	22	𝛹	𝛹	PROPN
iajs-2972	56	23	(	(	PUNCT
iajs-2972	56	24	�	�	PROPN
iajs-2972	56	25	̂	̂	NOUN
iajs-2972	56	26	�	�	NOUN
iajs-2972	56	27	𝑘+1𝑢𝑏	𝑘+1𝑢𝑏	NOUN
iajs-2972	56	28	)	)	PUNCT
iajs-2972	56	29	=	=	SYM
iajs-2972	56	30	𝑒−𝑚	𝑒−𝑚	PROPN
iajs-2972	56	31	thus	thus	ADV
iajs-2972	56	32	,	,	PUNCT
iajs-2972	56	33	based	base	VERB
iajs-2972	56	34	on	on	ADP
iajs-2972	56	35	equation	equation	NOUN
iajs-2972	56	36	(	(	PUNCT
iajs-2972	56	37	6	6	NUM
iajs-2972	56	38	)	)	PUNCT
iajs-2972	56	39	,	,	PUNCT
iajs-2972	56	40	the	the	DET
iajs-2972	56	41	shrinkage	shrinkage	NOUN
iajs-2972	56	42	function	function	NOUN
iajs-2972	56	43	estimators	estimator	NOUN
iajs-2972	56	44	of	of	ADP
iajs-2972	56	45	𝛽𝑖	𝛽𝑖	PROPN
iajs-2972	56	46	(	(	PUNCT
iajs-2972	56	47	𝑖=	𝑖=	NOUN
iajs-2972	56	48	1,2	1,2	NUM
iajs-2972	56	49	,	,	PUNCT
iajs-2972	56	50	…	…	PUNCT
iajs-2972	56	51	,	,	PUNCT
iajs-2972	56	52	𝑘	𝑘	X
iajs-2972	56	53	+	+	NOUN
iajs-2972	56	54	1	1	NUM
iajs-2972	56	55	)	)	PUNCT
iajs-2972	56	56	using	use	VERB
iajs-2972	56	57	the	the	DET
iajs-2972	56	58	above	above	ADJ
iajs-2972	56	59	shrinkage	shrinkage	NOUN
iajs-2972	56	60	weight	weight	NOUN
iajs-2972	56	61	functions	function	NOUN
iajs-2972	56	62	will	will	AUX
iajs-2972	56	63	be	be	AUX
iajs-2972	56	64	:	:	PUNCT
iajs-2972	56	65	�	�	PROPN
iajs-2972	56	66	̂	̂	VERB
iajs-2972	56	67	�	�	NOUN
iajs-2972	56	68	𝑖𝑆ℎ2	𝑖𝑆ℎ2	VERB
iajs-2972	56	69	=	=	SYM
iajs-2972	56	70	𝛹	𝛹	PROPN
iajs-2972	56	71	(	(	PUNCT
iajs-2972	56	72	�	�	PROPN
iajs-2972	56	73	̂	̂	NOUN
iajs-2972	56	74	�	�	NOUN
iajs-2972	56	75	𝑖𝑢𝑏	𝑖𝑢𝑏	NOUN
iajs-2972	56	76	)	)	PUNCT
iajs-2972	56	77	�	�	PROPN
iajs-2972	56	78	̂	̂	VERB
iajs-2972	56	79	�	�	NOUN
iajs-2972	56	80	𝑖𝑢𝑏	𝑖𝑢𝑏	NOUN
iajs-2972	56	81	+	+	NOUN
iajs-2972	56	82	(	(	PUNCT
iajs-2972	56	83	1	1	NUM
iajs-2972	56	84	−	−	NOUN
iajs-2972	56	85	ψ	ψ	SYM
iajs-2972	56	86	(	(	PUNCT
iajs-2972	56	87	�	�	NOUN
iajs-2972	56	88	̂	̂	NOUN
iajs-2972	56	89	�	�	NOUN
iajs-2972	56	90	𝑖𝑢𝑏	𝑖𝑢𝑏	NOUN
iajs-2972	56	91	)	)	PUNCT
iajs-2972	56	92	)	)	PUNCT
iajs-2972	56	93	𝛽𝑖0	𝛽𝑖0	ADP
iajs-2972	56	94	i=1	i=1	PRON
iajs-2972	56	95	,	,	PUNCT
iajs-2972	56	96	2	2	NUM
iajs-2972	56	97	,	,	PUNCT
iajs-2972	56	98	…	…	PUNCT
iajs-2972	56	99	,	,	PUNCT
iajs-2972	56	100	𝑘	𝑘	X
iajs-2972	56	101	(	(	PUNCT
iajs-2972	56	102	11	11	NUM
iajs-2972	56	103	)	)	PUNCT
iajs-2972	56	104	�	�	NOUN
iajs-2972	56	105	̂	̂	SYM
iajs-2972	56	106	�	�	NOUN
iajs-2972	56	107	𝑘+1𝑆ℎ2	𝑘+1𝑆ℎ2	PART
iajs-2972	56	108	=	=	NUM
iajs-2972	56	109	𝛹(	𝛹(	NOUN
iajs-2972	56	110	�	�	PROPN
iajs-2972	56	111	̂	̂	NOUN
iajs-2972	56	112	�	�	NOUN
iajs-2972	56	113	𝑘+1𝑢𝑏	𝑘+1𝑢𝑏	X
iajs-2972	56	114	)	)	PUNCT
iajs-2972	56	115	�	�	PROPN
iajs-2972	56	116	̂	̂	NOUN
iajs-2972	56	117	�	�	NOUN
iajs-2972	56	118	𝑘+1𝑢𝑏	𝑘+1𝑢𝑏	X
iajs-2972	56	119	+	+	NOUN
iajs-2972	56	120	(	(	PUNCT
iajs-2972	56	121	1	1	NUM
iajs-2972	56	122	−	−	NOUN
iajs-2972	56	123	ψ	ψ	SYM
iajs-2972	56	124	(	(	PUNCT
iajs-2972	56	125	�	�	PROPN
iajs-2972	56	126	̂	̂	NOUN
iajs-2972	56	127	�	�	NOUN
iajs-2972	56	128	𝑘+1𝑢𝑏	𝑘+1𝑢𝑏	NOUN
iajs-2972	56	129	)	)	PUNCT
iajs-2972	56	130	)	)	PUNCT
iajs-2972	57	1	𝛽𝑘+10	𝛽𝑘+10	NOUN
iajs-2972	57	2	(	(	PUNCT
iajs-2972	57	3	12	12	NUM
iajs-2972	57	4	)	)	PUNCT
iajs-2972	57	5	substitute	substitute	PROPN
iajs-2972	57	6	�	�	PROPN
iajs-2972	57	7	̂	̂	VERB
iajs-2972	57	8	�	�	NOUN
iajs-2972	57	9	𝑖𝑆ℎ2	𝑖𝑆ℎ2	X
iajs-2972	57	10	i=	i=	NOUN
iajs-2972	57	11	1	1	NUM
iajs-2972	57	12	,	,	PUNCT
iajs-2972	57	13	2	2	NUM
iajs-2972	57	14	,	,	PUNCT
iajs-2972	57	15	…	…	PUNCT
iajs-2972	57	16	,	,	PUNCT
iajs-2972	57	17	𝑘	𝑘	X
iajs-2972	57	18	+	+	NOUN
iajs-2972	57	19	1	1	NUM
iajs-2972	57	20	in	in	ADP
iajs-2972	57	21	equation	equation	NOUN
iajs-2972	57	22	(	(	PUNCT
iajs-2972	57	23	5	5	NUM
iajs-2972	57	24	)	)	PUNCT
iajs-2972	57	25	,	,	PUNCT
iajs-2972	57	26	we	we	PRON
iajs-2972	57	27	get	get	VERB
iajs-2972	57	28	the	the	DET
iajs-2972	57	29	shrinkage	shrinkage	NOUN
iajs-2972	57	30	function	function	NOUN
iajs-2972	57	31	estimator	estimator	NOUN
iajs-2972	57	32	of	of	ADP
iajs-2972	57	33	reliability	reliability	NOUN
iajs-2972	57	34	system	system	NOUN
iajs-2972	57	35	r	r	NOUN
iajs-2972	57	36	based	base	VERB
iajs-2972	57	37	on	on	ADP
iajs-2972	57	38	shrinkage	shrinkage	NOUN
iajs-2972	57	39	weight	weight	NOUN
iajs-2972	57	40	function	function	NOUN
iajs-2972	57	41	,	,	PUNCT
iajs-2972	57	42	as	as	SCONJ
iajs-2972	57	43	follows	follow	VERB
iajs-2972	57	44	:	:	PUNCT
iajs-2972	57	45	r̂𝑆ℎ2	r̂𝑆ℎ2	PROPN
iajs-2972	57	46	=	=	SYM
iajs-2972	57	47	∑	∑	PUNCT
iajs-2972	57	48	�	�	PROPN
iajs-2972	57	49	̂	̂	VERB
iajs-2972	57	50	�	�	NOUN
iajs-2972	57	51	𝑖𝑆ℎ2	𝑖𝑆ℎ2	X
iajs-2972	57	52	𝑘	𝑘	X
iajs-2972	57	53	𝑖=1	𝑖=1	PUNCT
iajs-2972	57	54	∑	∑	PART
iajs-2972	57	55	�	�	PROPN
iajs-2972	57	56	̂	̂	VERB
iajs-2972	57	57	�	�	NOUN
iajs-2972	57	58	𝑖𝑆ℎ2	𝑖𝑆ℎ2	NOUN
iajs-2972	57	59	𝑘+1	𝑘+1	NOUN
iajs-2972	57	60	𝑖=1	𝑖=1	PUNCT
iajs-2972	57	61	(	(	PUNCT
iajs-2972	57	62	13	13	NUM
iajs-2972	57	63	)	)	PUNCT
iajs-2972	57	64	4.1.3	4.1.3	NUM
iajs-2972	57	65	modified	modify	VERB
iajs-2972	57	66	thompson	thompson	NOUN
iajs-2972	57	67	type	type	NOUN
iajs-2972	57	68	shrinkage	shrinkage	NOUN
iajs-2972	57	69	estimator	estimator	NOUN
iajs-2972	57	70	(	(	PUNCT
iajs-2972	57	71	th	th	NOUN
iajs-2972	57	72	)	)	PUNCT
iajs-2972	57	73	the	the	DET
iajs-2972	57	74	shrinkage	shrinkage	NOUN
iajs-2972	57	75	weight	weight	NOUN
iajs-2972	57	76	factor	factor	NOUN
iajs-2972	57	77	considered	consider	VERB
iajs-2972	57	78	by	by	ADP
iajs-2972	57	79	thompson	thompson	PROPN
iajs-2972	57	80	in	in	ADP
iajs-2972	57	81	1968	1968	NUM
iajs-2972	57	82	will	will	AUX
iajs-2972	57	83	be	be	AUX
iajs-2972	57	84	modified	modify	VERB
iajs-2972	57	85	and	and	CCONJ
iajs-2972	57	86	used	use	VERB
iajs-2972	57	87	in	in	ADP
iajs-2972	57	88	shrinkage	shrinkage	NOUN
iajs-2972	57	89	estimator	estimator	NOUN
iajs-2972	57	90	to	to	PART
iajs-2972	57	91	estimate	estimate	VERB
iajs-2972	57	92	the	the	DET
iajs-2972	57	93	reliability	reliability	NOUN
iajs-2972	57	94	system	system	NOUN
iajs-2972	57	95	for	for	ADP
iajs-2972	57	96	the	the	DET
iajs-2972	57	97	proposed	propose	VERB
iajs-2972	57	98	of	of	ADP
iajs-2972	57	99	s	s	NOUN
iajs-2972	57	100	-	-	PUNCT
iajs-2972	57	101	s	s	NOUN
iajs-2972	57	102	models	model	NOUN
iajs-2972	57	103	.	.	PUNCT
iajs-2972	58	1	the	the	DET
iajs-2972	58	2	modified	modify	VERB
iajs-2972	58	3	shrinkage	shrinkage	NOUN
iajs-2972	58	4	weight	weight	NOUN
iajs-2972	58	5	factor	factor	NOUN
iajs-2972	58	6	(	(	PUNCT
iajs-2972	58	7	th	th	NOUN
iajs-2972	58	8	)	)	PUNCT
iajs-2972	58	9	has	have	VERB
iajs-2972	58	10	the	the	DET
iajs-2972	58	11	form	form	NOUN
iajs-2972	58	12	,	,	PUNCT
iajs-2972	58	13	as	as	ADP
iajs-2972	58	14	below	below	ADV
iajs-2972	58	15	:	:	PUNCT
iajs-2972	58	16	𝜑(	𝜑(	PROPN
iajs-2972	58	17	�	�	SYM
iajs-2972	58	18	̂	̂	VERB
iajs-2972	58	19	�	�	NOUN
iajs-2972	58	20	𝑖𝑢𝑏	𝑖𝑢𝑏	NOUN
iajs-2972	58	21	)	)	PUNCT
iajs-2972	59	1	=	=	SYM
iajs-2972	59	2	(	(	PUNCT
iajs-2972	59	3	�	�	PROPN
iajs-2972	59	4	̂	̂	NOUN
iajs-2972	59	5	�	�	NOUN
iajs-2972	59	6	𝑖𝑢𝑏	𝑖𝑢𝑏	ADJ
iajs-2972	59	7	−	−	PROPN
iajs-2972	59	8	�	�	PROPN
iajs-2972	59	9	̂	̂	VERB
iajs-2972	59	10	�	�	NOUN
iajs-2972	59	11	𝑖0	𝑖0	ADJ
iajs-2972	59	12	)	)	PUNCT
iajs-2972	59	13	2	2	NUM
iajs-2972	59	14	(	(	PUNCT
iajs-2972	59	15	�	�	NOUN
iajs-2972	59	16	̂	̂	NOUN
iajs-2972	59	17	�	�	NOUN
iajs-2972	59	18	𝑖𝑢𝑏	𝑖𝑢𝑏	ADJ
iajs-2972	59	19	−	−	PROPN
iajs-2972	59	20	�	�	PROPN
iajs-2972	59	21	̂	̂	VERB
iajs-2972	59	22	�	�	NOUN
iajs-2972	59	23	𝑖0	𝑖0	NOUN
iajs-2972	59	24	)	)	PUNCT
iajs-2972	59	25	2	2	NUM
iajs-2972	60	1	+	+	SYM
iajs-2972	60	2	𝑣𝑎𝑟(	𝑣𝑎𝑟(	PROPN
iajs-2972	60	3	�	�	NOUN
iajs-2972	60	4	̂	̂	NOUN
iajs-2972	60	5	�	�	NOUN
iajs-2972	60	6	𝑖𝑢𝑏	𝑖𝑢𝑏	NOUN
iajs-2972	60	7	)	)	PUNCT
iajs-2972	60	8	(	(	PUNCT
iajs-2972	60	9	0.001	0.001	NUM
iajs-2972	60	10	)	)	PUNCT
iajs-2972	60	11	,	,	PUNCT
iajs-2972	60	12	for	for	ADP
iajs-2972	60	13	i=1,2	i=1,2	ADJ
iajs-2972	60	14	,	,	PUNCT
iajs-2972	60	15	…	…	PUNCT
iajs-2972	60	16	,	,	PUNCT
iajs-2972	60	17	k+1	k+1	X
iajs-2972	60	18	(	(	PUNCT
iajs-2972	60	19	14	14	NUM
iajs-2972	60	20	)	)	PUNCT
iajs-2972	60	21	we	we	PRON
iajs-2972	60	22	can	can	AUX
iajs-2972	60	23	estimate	estimate	VERB
iajs-2972	60	24	the	the	DET
iajs-2972	60	25	parameters	parameter	NOUN
iajs-2972	60	26	𝛽𝑖	𝛽𝑖	VERB
iajs-2972	60	27	(	(	PUNCT
iajs-2972	60	28	𝑖=	𝑖=	NOUN
iajs-2972	60	29	1,2	1,2	NUM
iajs-2972	60	30	,	,	PUNCT
iajs-2972	60	31	…	…	PUNCT
iajs-2972	60	32	,	,	PUNCT
iajs-2972	60	33	𝑘	𝑘	X
iajs-2972	60	34	+	+	NOUN
iajs-2972	60	35	1	1	NUM
iajs-2972	60	36	)	)	PUNCT
iajs-2972	60	37	by	by	ADP
iajs-2972	60	38	the	the	DET
iajs-2972	60	39	modified	modify	VERB
iajs-2972	60	40	thompson	thompson	NOUN
iajs-2972	60	41	type	type	NOUN
iajs-2972	60	42	shrinkage	shrinkage	NOUN
iajs-2972	60	43	estimator	estimator	NOUN
iajs-2972	60	44	,	,	PUNCT
iajs-2972	60	45	as	as	SCONJ
iajs-2972	60	46	follows	follow	VERB
iajs-2972	60	47	:	:	PUNCT
iajs-2972	60	48	�	�	NOUN
iajs-2972	60	49	̂	̂	NOUN
iajs-2972	60	50	�	�	NOUN
iajs-2972	60	51	𝑖𝑇ℎ	𝑖𝑇ℎ	NOUN
iajs-2972	60	52	=	=	SYM
iajs-2972	60	53	𝜑(	𝜑(	NUM
iajs-2972	60	54	�	�	SYM
iajs-2972	60	55	̂	̂	VERB
iajs-2972	60	56	�	�	NOUN
iajs-2972	60	57	𝑖𝑢𝑏	𝑖𝑢𝑏	NOUN
iajs-2972	60	58	)	)	PUNCT
iajs-2972	60	59	�	�	PROPN
iajs-2972	60	60	̂	̂	VERB
iajs-2972	60	61	�	�	NOUN
iajs-2972	60	62	𝑖𝑢𝑏	𝑖𝑢𝑏	NOUN
iajs-2972	60	63	+	+	CCONJ
iajs-2972	60	64	(	(	PUNCT
iajs-2972	60	65	1	1	NUM
iajs-2972	60	66	−	−	PROPN
iajs-2972	60	67	𝜑(	𝜑(	NUM
iajs-2972	60	68	�	�	SYM
iajs-2972	60	69	̂	̂	VERB
iajs-2972	60	70	�	�	NOUN
iajs-2972	60	71	𝑖𝑢𝑏	𝑖𝑢𝑏	NOUN
iajs-2972	60	72	)	)	PUNCT
iajs-2972	60	73	)	)	PUNCT
iajs-2972	61	1	𝛽𝑖0	𝛽𝑖0	NOUN
iajs-2972	61	2	,	,	PUNCT
iajs-2972	61	3	for	for	ADP
iajs-2972	61	4	i	i	PROPN
iajs-2972	61	5	=	=	SYM
iajs-2972	61	6	1	1	NUM
iajs-2972	61	7	,	,	PUNCT
iajs-2972	61	8	2	2	NUM
iajs-2972	61	9	,	,	PUNCT
iajs-2972	61	10	…	…	PUNCT
iajs-2972	61	11	,	,	PUNCT
iajs-2972	61	12	𝑘	𝑘	X
iajs-2972	61	13	+	+	ADJ
iajs-2972	61	14	1	1	NUM
iajs-2972	61	15	(	(	PUNCT
iajs-2972	61	16	15	15	NUM
iajs-2972	61	17	)	)	PUNCT
iajs-2972	61	18	when	when	SCONJ
iajs-2972	61	19	substituting	substitute	VERB
iajs-2972	61	20	the	the	DET
iajs-2972	61	21	equation	equation	NOUN
iajs-2972	61	22	(	(	PUNCT
iajs-2972	61	23	15	15	NUM
iajs-2972	61	24	)	)	PUNCT
iajs-2972	61	25	in	in	ADP
iajs-2972	61	26	equation	equation	NOUN
iajs-2972	61	27	(	(	PUNCT
iajs-2972	61	28	5	5	NUM
iajs-2972	61	29	)	)	PUNCT
iajs-2972	61	30	,	,	PUNCT
iajs-2972	61	31	the	the	DET
iajs-2972	61	32	reliability	reliability	NOUN
iajs-2972	61	33	system	system	NOUN
iajs-2972	61	34	for	for	ADP
iajs-2972	61	35	estimating	estimate	VERB
iajs-2972	61	36	of	of	ADP
iajs-2972	61	37	r	r	NOUN
iajs-2972	61	38	using	use	VERB
iajs-2972	61	39	the	the	DET
iajs-2972	61	40	modified	modify	VERB
iajs-2972	61	41	thompson	thompson	NOUN
iajs-2972	61	42	type	type	NOUN
iajs-2972	61	43	shrinkage	shrinkage	NOUN
iajs-2972	61	44	estimator	estimator	NOUN
iajs-2972	61	45	become	become	VERB
iajs-2972	61	46	:	:	PUNCT
iajs-2972	61	47	r̂𝑇ℎ	r̂𝑇ℎ	PROPN
iajs-2972	61	48	=	=	SYM
iajs-2972	61	49	∑	∑	PUNCT
iajs-2972	61	50	�	�	PROPN
iajs-2972	61	51	̂	̂	NOUN
iajs-2972	61	52	�	�	NOUN
iajs-2972	61	53	𝑖𝑇ℎ	𝑖𝑇ℎ	NOUN
iajs-2972	61	54	𝑘	𝑘	X
iajs-2972	61	55	𝑖=1	𝑖=1	PUNCT
iajs-2972	61	56	∑	∑	PART
iajs-2972	61	57	�	�	PROPN
iajs-2972	61	58	̂	̂	SYM
iajs-2972	61	59	�	�	NOUN
iajs-2972	61	60	𝑖𝑇ℎ	𝑖𝑇ℎ	NOUN
iajs-2972	61	61	𝑘+1	𝑘+1	X
iajs-2972	61	62	𝑖=1	𝑖=1	PUNCT
iajs-2972	61	63	(	(	PUNCT
iajs-2972	61	64	16	16	NUM
iajs-2972	61	65	)	)	PUNCT
iajs-2972	61	66	4.1.4	4.1.4	NUM
iajs-2972	61	67	squared	square	VERB
iajs-2972	61	68	shrinkage	shrinkage	NOUN
iajs-2972	61	69	estimator	estimator	NOUN
iajs-2972	61	70	(	(	PUNCT
iajs-2972	61	71	sq	sq	ADJ
iajs-2972	61	72	)	)	PUNCT
iajs-2972	61	73	in	in	ADP
iajs-2972	61	74	this	this	DET
iajs-2972	61	75	subsection	subsection	NOUN
iajs-2972	61	76	,	,	PUNCT
iajs-2972	61	77	we	we	PRON
iajs-2972	61	78	propose	propose	VERB
iajs-2972	61	79	the	the	DET
iajs-2972	61	80	squared	squared	ADJ
iajs-2972	61	81	shrinkage	shrinkage	NOUN
iajs-2972	61	82	estimator	estimator	NOUN
iajs-2972	61	83	(	(	PUNCT
iajs-2972	61	84	sq	sq	NOUN
iajs-2972	61	85	)	)	PUNCT
iajs-2972	61	86	for	for	ADP
iajs-2972	61	87	�	�	PROPN
iajs-2972	61	88	̂	̂	SYM
iajs-2972	61	89	�	�	NOUN
iajs-2972	61	90	𝑖	𝑖	X
iajs-2972	61	91	for	for	ADP
iajs-2972	61	92	the	the	DET
iajs-2972	61	93	parameters	parameter	NOUN
iajs-2972	61	94	𝛽𝑖(𝑖=	𝛽𝑖(𝑖=	ADJ
iajs-2972	61	95	1,2	1,2	NUM
iajs-2972	61	96	,	,	PUNCT
iajs-2972	61	97	…	…	PUNCT
iajs-2972	61	98	,	,	PUNCT
iajs-2972	61	99	𝑘	𝑘	X
iajs-2972	61	100	+	+	NOUN
iajs-2972	61	101	1	1	NUM
iajs-2972	61	102	)	)	PUNCT
iajs-2972	61	103	,	,	PUNCT
iajs-2972	61	104	as	as	ADP
iajs-2972	61	105	below	below	ADV
iajs-2972	61	106	:	:	PUNCT
iajs-2972	61	107	�	�	PROPN
iajs-2972	61	108	̂	̂	NOUN
iajs-2972	61	109	�	�	PROPN
iajs-2972	61	110	𝑖𝑆𝑞	𝑖𝑆𝑞	NOUN
iajs-2972	61	111	=	=	SYM
iajs-2972	61	112	𝛾(	𝛾(	PROPN
iajs-2972	61	113	�	�	PROPN
iajs-2972	61	114	̂	̂	NOUN
iajs-2972	61	115	�	�	NOUN
iajs-2972	61	116	𝑖𝑢𝑏	𝑖𝑢𝑏	NOUN
iajs-2972	61	117	)	)	PUNCT
iajs-2972	61	118	�	�	PROPN
iajs-2972	61	119	̂	̂	VERB
iajs-2972	61	120	�	�	NOUN
iajs-2972	61	121	𝑖𝑢𝑏	𝑖𝑢𝑏	NOUN
iajs-2972	61	122	+	+	CCONJ
iajs-2972	61	123	(	(	PUNCT
iajs-2972	61	124	1	1	NUM
iajs-2972	61	125	−	−	NOUN
iajs-2972	61	126	𝛾(	𝛾(	PROPN
iajs-2972	61	127	�	�	PROPN
iajs-2972	61	128	̂	̂	VERB
iajs-2972	61	129	�	�	NOUN
iajs-2972	61	130	𝑖𝑢𝑏	𝑖𝑢𝑏	NOUN
iajs-2972	61	131	)	)	PUNCT
iajs-2972	61	132	)	)	PUNCT
iajs-2972	62	1	𝛽𝑖0	𝛽𝑖0	NOUN
iajs-2972	62	2	,	,	PUNCT
iajs-2972	62	3	i	i	PRON
iajs-2972	62	4	=	=	NOUN
iajs-2972	62	5	1	1	NUM
iajs-2972	62	6	,	,	PUNCT
iajs-2972	62	7	2	2	NUM
iajs-2972	62	8	,	,	PUNCT
iajs-2972	62	9	…	…	PUNCT
iajs-2972	62	10	,	,	PUNCT
iajs-2972	62	11	𝑘	𝑘	X
iajs-2972	62	12	+	+	ADJ
iajs-2972	62	13	1	1	NUM
iajs-2972	62	14	(	(	PUNCT
iajs-2972	62	15	17	17	NUM
iajs-2972	62	16	)	)	PUNCT
iajs-2972	62	17	substituting	substituting	NOUN
iajs-2972	62	18	(	(	PUNCT
iajs-2972	62	19	17	17	NUM
iajs-2972	62	20	)	)	PUNCT
iajs-2972	62	21	in	in	ADP
iajs-2972	62	22	(	(	PUNCT
iajs-2972	62	23	5	5	NUM
iajs-2972	62	24	)	)	PUNCT
iajs-2972	62	25	,	,	PUNCT
iajs-2972	62	26	we	we	PRON
iajs-2972	62	27	conclude	conclude	VERB
iajs-2972	62	28	the	the	DET
iajs-2972	62	29	squared	square	VERB
iajs-2972	62	30	shrinkage	shrinkage	NOUN
iajs-2972	62	31	estimator	estimator	NOUN
iajs-2972	62	32	of	of	ADP
iajs-2972	62	33	the	the	DET
iajs-2972	62	34	reliability	reliability	NOUN
iajs-2972	62	35	system	system	NOUN
iajs-2972	62	36	𝑅	𝑅	PROPN
iajs-2972	62	37	which	which	PRON
iajs-2972	62	38	consist	consist	VERB
iajs-2972	62	39	𝐾𝑡ℎ	𝐾𝑡ℎ	PRON
iajs-2972	62	40	parallel	parallel	ADJ
iajs-2972	62	41	component	component	NOUN
iajs-2972	62	42	,	,	PUNCT
iajs-2972	62	43	as	as	ADP
iajs-2972	62	44	below	below	ADV
iajs-2972	62	45	:	:	PUNCT
iajs-2972	62	46	r̂𝑆𝑞	r̂𝑆𝑞	X
iajs-2972	62	47	=	=	SYM
iajs-2972	62	48	∑	∑	PUNCT
iajs-2972	62	49	�	�	PROPN
iajs-2972	62	50	̂	̂	NOUN
iajs-2972	62	51	�	�	NOUN
iajs-2972	62	52	𝑖𝑆𝑞	𝑖𝑆𝑞	X
iajs-2972	62	53	𝑘	𝑘	X
iajs-2972	62	54	𝑖=1	𝑖=1	PROPN
iajs-2972	62	55	∑	∑	PART
iajs-2972	62	56	�	�	PROPN
iajs-2972	62	57	̂	̂	SYM
iajs-2972	62	58	�	�	NOUN
iajs-2972	62	59	𝑖𝑆𝑞	𝑖𝑆𝑞	PRON
iajs-2972	62	60	𝑘+1	𝑘+1	X
iajs-2972	62	61	𝑖=1	𝑖=1	PROPN
iajs-2972	62	62	(	(	PUNCT
iajs-2972	62	63	18	18	NUM
iajs-2972	62	64	)	)	SYM
iajs-2972	62	65	5	5	NUM
iajs-2972	62	66	.	.	PUNCT
iajs-2972	62	67	simulation	simulation	NOUN
iajs-2972	62	68	study	study	NOUN
iajs-2972	62	69	to	to	PART
iajs-2972	62	70	verify	verify	VERB
iajs-2972	62	71	the	the	DET
iajs-2972	62	72	performance	performance	NOUN
iajs-2972	62	73	of	of	ADP
iajs-2972	62	74	the	the	DET
iajs-2972	62	75	proposed	propose	VERB
iajs-2972	62	76	estimation	estimation	NOUN
iajs-2972	62	77	methods	method	NOUN
iajs-2972	62	78	introduced	introduce	VERB
iajs-2972	62	79	to	to	PART
iajs-2972	62	80	estimate	estimate	VERB
iajs-2972	62	81	the	the	DET
iajs-2972	62	82	reliability	reliability	NOUN
iajs-2972	62	83	system	system	NOUN
iajs-2972	62	84	of	of	ADP
iajs-2972	62	85	𝐾𝑡ℎ	𝐾𝑡ℎ	PROPN
iajs-2972	62	86	components	component	NOUN
iajs-2972	62	87	(	(	PUNCT
iajs-2972	62	88	𝑅	𝑅	PROPN
iajs-2972	62	89	)	)	PUNCT
iajs-2972	62	90	,	,	PUNCT
iajs-2972	62	91	mote	mote	PROPN
iajs-2972	62	92	carlo	carlo	PROPN
iajs-2972	62	93	simulation	simulation	PROPN
iajs-2972	62	94	was	be	AUX
iajs-2972	62	95	used	use	VERB
iajs-2972	62	96	.	.	PUNCT
iajs-2972	63	1	the	the	DET
iajs-2972	63	2	proposed	propose	VERB
iajs-2972	63	3	ihjpas	ihjpa	NOUN
iajs-2972	63	4	.	.	PUNCT
iajs-2972	64	1	36(1)2023	36(1)2023	NUM
iajs-2972	64	2	277	277	NUM
iajs-2972	64	3	estimation	estimation	NOUN
iajs-2972	64	4	methods	method	NOUN
iajs-2972	64	5	in	in	ADP
iajs-2972	64	6	s	s	NOUN
iajs-2972	64	7	-	-	PUNCT
iajs-2972	64	8	s	s	NOUN
iajs-2972	64	9	models	model	NOUN
iajs-2972	64	10	have	have	AUX
iajs-2972	64	11	been	be	AUX
iajs-2972	64	12	implemented	implement	VERB
iajs-2972	64	13	using	use	VERB
iajs-2972	64	14	various	various	ADJ
iajs-2972	64	15	samples	sample	NOUN
iajs-2972	64	16	(	(	PUNCT
iajs-2972	64	17	20	20	NUM
iajs-2972	64	18	,	,	PUNCT
iajs-2972	64	19	30	30	NUM
iajs-2972	64	20	,	,	PUNCT
iajs-2972	64	21	50	50	NUM
iajs-2972	64	22	,	,	PUNCT
iajs-2972	64	23	and	and	CCONJ
iajs-2972	64	24	100	100	NUM
iajs-2972	64	25	)	)	PUNCT
iajs-2972	64	26	.	.	PUNCT
iajs-2972	65	1	in	in	ADP
iajs-2972	65	2	addition	addition	NOUN
iajs-2972	65	3	,	,	PUNCT
iajs-2972	65	4	the	the	DET
iajs-2972	65	5	statistical	statistical	ADJ
iajs-2972	65	6	outcomes	outcome	NOUN
iajs-2972	65	7	for	for	ADP
iajs-2972	65	8	every	every	DET
iajs-2972	65	9	sample	sample	NOUN
iajs-2972	65	10	are	be	AUX
iajs-2972	65	11	based	base	VERB
iajs-2972	65	12	on	on	ADP
iajs-2972	65	13	mean	mean	ADJ
iajs-2972	65	14	squared	square	VERB
iajs-2972	65	15	errors	error	NOUN
iajs-2972	65	16	criteria	criterion	NOUN
iajs-2972	65	17	with	with	ADP
iajs-2972	65	18	1000	1000	NUM
iajs-2972	65	19	replicates	replicate	NOUN
iajs-2972	65	20	.	.	PUNCT
iajs-2972	66	1	therefore	therefore	ADV
iajs-2972	66	2	,	,	PUNCT
iajs-2972	66	3	the	the	DET
iajs-2972	66	4	following	follow	VERB
iajs-2972	66	5	subsections	subsection	NOUN
iajs-2972	66	6	explain	explain	VERB
iajs-2972	66	7	the	the	DET
iajs-2972	66	8	steps	step	NOUN
iajs-2972	66	9	of	of	ADP
iajs-2972	66	10	monte	monte	PROPN
iajs-2972	66	11	carlo	carlo	PROPN
iajs-2972	66	12	simulation	simulation	PROPN
iajs-2972	66	13	.	.	PUNCT
iajs-2972	67	1	step1	step1	PROPN
iajs-2972	67	2	:	:	PUNCT
iajs-2972	67	3	generate	generate	VERB
iajs-2972	67	4	random	random	ADJ
iajs-2972	67	5	samples	sample	NOUN
iajs-2972	67	6	following	follow	VERB
iajs-2972	67	7	the	the	DET
iajs-2972	67	8	continuance	continuance	NOUN
iajs-2972	67	9	uniform	uniform	ADJ
iajs-2972	67	10	distribution	distribution	NOUN
iajs-2972	67	11	defined	define	VERB
iajs-2972	67	12	on	on	ADP
iajs-2972	67	13	the	the	DET
iajs-2972	67	14	interval	interval	NOUN
iajs-2972	67	15	(	(	PUNCT
iajs-2972	67	16	0,1	0,1	NOUN
iajs-2972	67	17	)	)	PUNCT
iajs-2972	67	18	for	for	ADP
iajs-2972	67	19	the	the	DET
iajs-2972	67	20	strength	strength	NOUN
iajs-2972	67	21	𝑋𝑖	𝑋𝑖	NOUN
iajs-2972	67	22	,	,	PUNCT
iajs-2972	67	23	stress	stress	NOUN
iajs-2972	67	24	𝑌	𝑌	PROPN
iajs-2972	67	25	as	as	ADP
iajs-2972	67	26	𝑢𝑖1	𝑢𝑖1	VERB
iajs-2972	67	27	,	,	PUNCT
iajs-2972	67	28	𝑢𝑖2	𝑢𝑖2	NOUN
iajs-2972	67	29	,	,	PUNCT
iajs-2972	67	30	…	…	PUNCT
iajs-2972	67	31	,	,	PUNCT
iajs-2972	67	32	𝑢𝑖𝑛𝑖	𝑢𝑖𝑛𝑖	VERB
iajs-2972	67	33	;	;	PUNCT
iajs-2972	67	34	𝑖=	𝑖=	NOUN
iajs-2972	67	35	1,2	1,2	NUM
iajs-2972	67	36	,	,	PUNCT
iajs-2972	67	37	…	…	PUNCT
iajs-2972	67	38	,	,	PUNCT
iajs-2972	67	39	𝑘.	𝑘.	NOUN
iajs-2972	67	40	and	and	CCONJ
iajs-2972	67	41	𝑣1	𝑣1	PROPN
iajs-2972	67	42	,	,	PUNCT
iajs-2972	67	43	𝑣2	𝑣2	PROPN
iajs-2972	67	44	,	,	PUNCT
iajs-2972	67	45	…	…	PUNCT
iajs-2972	67	46	,	,	PUNCT
iajs-2972	67	47	𝑣𝑚	𝑣𝑚	NOUN
iajs-2972	67	48	,	,	PUNCT
iajs-2972	67	49	respectively	respectively	ADV
iajs-2972	67	50	.	.	PUNCT
iajs-2972	68	1	step2	step2	PROPN
iajs-2972	68	2	:	:	PUNCT
iajs-2972	68	3	convert	convert	VERB
iajs-2972	68	4	the	the	DET
iajs-2972	68	5	uniform	uniform	ADJ
iajs-2972	68	6	random	random	ADJ
iajs-2972	68	7	samples	sample	NOUN
iajs-2972	68	8	using	use	VERB
iajs-2972	68	9	the	the	DET
iajs-2972	68	10	cumulative	cumulative	ADJ
iajs-2972	68	11	distribution	distribution	NOUN
iajs-2972	68	12	function	function	NOUN
iajs-2972	68	13	for	for	ADP
iajs-2972	68	14	random	random	ADJ
iajs-2972	68	15	samples	sample	NOUN
iajs-2972	68	16	of	of	ADP
iajs-2972	68	17	𝑋𝑖~	𝑋𝑖~	PROPN
iajs-2972	68	18	ikumd	ikumd	NOUN
iajs-2972	68	19	(	(	PUNCT
iajs-2972	68	20	𝛼	𝛼	NOUN
iajs-2972	68	21	,	,	PUNCT
iajs-2972	68	22	𝛽𝑖	𝛽𝑖	ADJ
iajs-2972	68	23	)	)	PUNCT
iajs-2972	68	24	for	for	ADP
iajs-2972	68	25	𝑖=	𝑖=	NOUN
iajs-2972	68	26	1,2	1,2	NUM
iajs-2972	68	27	,	,	PUNCT
iajs-2972	68	28	…	…	PUNCT
iajs-2972	68	29	𝑘	𝑘	INTJ
iajs-2972	68	30	,	,	PUNCT
iajs-2972	68	31	as	as	SCONJ
iajs-2972	68	32	follow	follow	VERB
iajs-2972	68	33	:	:	PUNCT
iajs-2972	68	34	f(𝑥𝑖𝑡	f(𝑥𝑖𝑡	NUM
iajs-2972	68	35	)	)	PUNCT
iajs-2972	69	1	=	=	PUNCT
iajs-2972	69	2	(	(	PUNCT
iajs-2972	69	3	1	1	NUM
iajs-2972	69	4	−	−	PROPN
iajs-2972	69	5	(	(	PUNCT
iajs-2972	69	6	1	1	NUM
iajs-2972	69	7	+	+	NUM
iajs-2972	69	8	𝑥𝑖𝑡	𝑥𝑖𝑡	NOUN
iajs-2972	69	9	)	)	PUNCT
iajs-2972	69	10	−𝛼	−𝛼	PROPN
iajs-2972	69	11	)	)	PUNCT
iajs-2972	69	12	𝛽1	𝛽1	NOUN
iajs-2972	69	13	𝑢𝑖𝑡	𝑢𝑖𝑡	NOUN
iajs-2972	69	14	=	=	SYM
iajs-2972	69	15	(	(	PUNCT
iajs-2972	69	16	1	1	NUM
iajs-2972	69	17	−	−	NOUN
iajs-2972	69	18	(	(	PUNCT
iajs-2972	69	19	1	1	NUM
iajs-2972	69	20	+	+	NUM
iajs-2972	69	21	𝑥𝑖𝑡	𝑥𝑖𝑡	NOUN
iajs-2972	69	22	)	)	PUNCT
iajs-2972	69	23	−𝛼	−𝛼	PROPN
iajs-2972	69	24	)	)	PUNCT
iajs-2972	69	25	𝛽1	𝛽1	NOUN
iajs-2972	69	26	𝑥𝑖𝑡	𝑥𝑖𝑡	NOUN
iajs-2972	69	27	=	=	PUNCT
iajs-2972	70	1	[	[	X
iajs-2972	70	2	1	1	NUM
iajs-2972	70	3	−	−	NOUN
iajs-2972	70	4	(	(	PUNCT
iajs-2972	70	5	𝑢𝑖𝑡	𝑢𝑖𝑡	VERB
iajs-2972	70	6	)	)	PUNCT
iajs-2972	70	7	1	1	NUM
iajs-2972	70	8	𝛽1	𝛽1	NOUN
iajs-2972	70	9	]	]	PUNCT
iajs-2972	70	10	−	−	PROPN
iajs-2972	70	11	1	1	NUM
iajs-2972	70	12	𝛼	𝛼	NOUN
iajs-2972	70	13	−	−	PROPN
iajs-2972	70	14	1	1	NUM
iajs-2972	70	15	;	;	PUNCT
iajs-2972	70	16	𝑖=	𝑖=	NOUN
iajs-2972	70	17	1,2	1,2	NUM
iajs-2972	70	18	,	,	PUNCT
iajs-2972	70	19	…	…	PUNCT
iajs-2972	70	20	,	,	PUNCT
iajs-2972	70	21	𝑘.	𝑘.	NOUN
iajs-2972	70	22	using	use	VERB
iajs-2972	70	23	the	the	DET
iajs-2972	70	24	same	same	ADJ
iajs-2972	70	25	method	method	NOUN
iajs-2972	70	26	for	for	ADP
iajs-2972	70	27	𝑌~	𝑌~	ADJ
iajs-2972	70	28	ikumd	ikumd	NOUN
iajs-2972	70	29	(	(	PUNCT
iajs-2972	70	30	𝛼	𝛼	NOUN
iajs-2972	70	31	,	,	PUNCT
iajs-2972	70	32	𝛽𝑘+1	𝛽𝑘+1	NUM
iajs-2972	70	33	):	):	PUNCT
iajs-2972	70	34	𝑦𝑗	𝑦𝑗	NOUN
iajs-2972	70	35	=	=	PUNCT
iajs-2972	71	1	[	[	X
iajs-2972	71	2	1	1	NUM
iajs-2972	71	3	−	−	NOUN
iajs-2972	71	4	(	(	PUNCT
iajs-2972	71	5	𝑣𝑗	𝑣𝑗	NOUN
iajs-2972	71	6	)	)	PUNCT
iajs-2972	71	7	1	1	NUM
iajs-2972	71	8	𝛽2	𝛽2	NOUN
iajs-2972	71	9	]	]	PUNCT
iajs-2972	71	10	−	−	PROPN
iajs-2972	71	11	1	1	NUM
iajs-2972	71	12	𝛼	𝛼	NOUN
iajs-2972	71	13	−	−	PROPN
iajs-2972	71	14	1	1	NUM
iajs-2972	71	15	step3	step3	PROPN
iajs-2972	71	16	:	:	PUNCT
iajs-2972	71	17	recall	recall	NOUN
iajs-2972	71	18	r	r	NOUN
iajs-2972	71	19	in	in	ADP
iajs-2972	71	20	equation	equation	NOUN
iajs-2972	71	21	(	(	PUNCT
iajs-2972	71	22	5	5	NUM
iajs-2972	71	23	)	)	PUNCT
iajs-2972	71	24	step4	step4	PROPN
iajs-2972	71	25	:	:	PUNCT
iajs-2972	71	26	compute	compute	NOUN
iajs-2972	71	27	shrinkage	shrinkage	NOUN
iajs-2972	71	28	estimators	estimator	NOUN
iajs-2972	71	29	of	of	ADP
iajs-2972	71	30	reliability	reliability	NOUN
iajs-2972	71	31	using	use	VERB
iajs-2972	71	32	equations	equation	NOUN
iajs-2972	71	33	(	(	PUNCT
iajs-2972	71	34	10	10	NUM
iajs-2972	71	35	)	)	PUNCT
iajs-2972	71	36	,	,	PUNCT
iajs-2972	71	37	(	(	PUNCT
iajs-2972	71	38	13	13	NUM
iajs-2972	71	39	)	)	PUNCT
iajs-2972	71	40	,	,	PUNCT
iajs-2972	71	41	(	(	PUNCT
iajs-2972	71	42	16	16	NUM
iajs-2972	71	43	)	)	PUNCT
iajs-2972	71	44	and	and	CCONJ
iajs-2972	71	45	(	(	PUNCT
iajs-2972	71	46	18	18	NUM
iajs-2972	71	47	)	)	PUNCT
iajs-2972	71	48	step5	step5	PROPN
iajs-2972	71	49	:	:	PUNCT
iajs-2972	71	50	based	base	VERB
iajs-2972	71	51	on	on	ADP
iajs-2972	71	52	l=1000	l=1000	PROPN
iajs-2972	71	53	replication	replication	NOUN
iajs-2972	71	54	,	,	PUNCT
iajs-2972	71	55	mse	mse	PROPN
iajs-2972	71	56	will	will	AUX
iajs-2972	71	57	be	be	AUX
iajs-2972	71	58	calculated	calculate	VERB
iajs-2972	71	59	as	as	SCONJ
iajs-2972	71	60	follows	follow	VERB
iajs-2972	71	61	;	;	PUNCT
iajs-2972	71	62	mse	mse	NOUN
iajs-2972	71	63	=	=	SYM
iajs-2972	71	64	1	1	NUM
iajs-2972	71	65	𝐿	𝐿	PROPN
iajs-2972	71	66	∑	∑	PROPN
iajs-2972	71	67	(	(	PUNCT
iajs-2972	71	68	�	�	PROPN
iajs-2972	71	69	̂	̂	SYM
iajs-2972	71	70	�	�	NOUN
iajs-2972	71	71	𝑖	𝑖	SYM
iajs-2972	71	72	−	−	PROPN
iajs-2972	71	73	𝑅	𝑅	PROPN
iajs-2972	71	74	)	)	PUNCT
iajs-2972	71	75	2𝐿	2𝐿	NOUN
iajs-2972	71	76	𝑖=1	𝑖=1	PROPN
iajs-2972	72	1	6	6	X
iajs-2972	72	2	.	.	PUNCT
iajs-2972	72	3	numerical	numerical	ADJ
iajs-2972	72	4	results	result	NOUN
iajs-2972	72	5	in	in	ADP
iajs-2972	72	6	this	this	DET
iajs-2972	72	7	model	model	NOUN
iajs-2972	72	8	the	the	DET
iajs-2972	72	9	reliability	reliability	NOUN
iajs-2972	72	10	system	system	NOUN
iajs-2972	72	11	𝑅	𝑅	PROPN
iajs-2972	72	12	=	=	PROPN
iajs-2972	72	13	𝑃(𝑚𝑎𝑥	𝑃(𝑚𝑎𝑥	PROPN
iajs-2972	72	14	(	(	PUNCT
iajs-2972	72	15	𝑋1	𝑋1	PROPN
iajs-2972	72	16	,	,	PUNCT
iajs-2972	72	17	𝑋2	𝑋2	VERB
iajs-2972	72	18	,	,	PUNCT
iajs-2972	72	19	…	…	PUNCT
iajs-2972	72	20	,	,	PUNCT
iajs-2972	72	21	𝑋𝑘	𝑋𝑘	PROPN
iajs-2972	72	22	)	)	PUNCT
iajs-2972	72	23	)	)	PUNCT
iajs-2972	72	24	in	in	ADP
iajs-2972	72	25	the	the	DET
iajs-2972	72	26	s	s	PROPN
iajs-2972	72	27	-	-	PUNCT
iajs-2972	72	28	s	s	NOUN
iajs-2972	72	29	model	model	NOUN
iajs-2972	72	30	when	when	SCONJ
iajs-2972	72	31	k=3	k=3	PROPN
iajs-2972	72	32	and	and	CCONJ
iajs-2972	72	33	𝛼	𝛼	NOUN
iajs-2972	72	34	=	=	SYM
iajs-2972	72	35	5	5	NUM
iajs-2972	72	36	will	will	AUX
iajs-2972	72	37	be	be	AUX
iajs-2972	72	38	estimated	estimate	VERB
iajs-2972	72	39	.	.	PUNCT
iajs-2972	73	1	simulation	simulation	NOUN
iajs-2972	73	2	results	result	NOUN
iajs-2972	73	3	based	base	VERB
iajs-2972	73	4	on	on	ADP
iajs-2972	73	5	the	the	DET
iajs-2972	73	6	four	four	NUM
iajs-2972	73	7	parameters	parameter	NOUN
iajs-2972	73	8	(	(	PUNCT
iajs-2972	73	9	𝛽1	𝛽1	NOUN
iajs-2972	73	10	,	,	PUNCT
iajs-2972	73	11	𝛽2,𝛽3	𝛽2,𝛽3	PROPN
iajs-2972	73	12	,	,	PUNCT
iajs-2972	73	13	𝛽4	𝛽4	PROPN
iajs-2972	73	14	)	)	PUNCT
iajs-2972	73	15	,	,	PUNCT
iajs-2972	73	16	clarified	clarify	VERB
iajs-2972	73	17	in	in	ADP
iajs-2972	73	18	tables	table	NOUN
iajs-2972	73	19	1	1	NUM
iajs-2972	73	20	to	to	PART
iajs-2972	73	21	8	8	NUM
iajs-2972	73	22	to	to	PART
iajs-2972	73	23	show	show	VERB
iajs-2972	73	24	the	the	DET
iajs-2972	73	25	order	order	NOUN
iajs-2972	73	26	rank	rank	NOUN
iajs-2972	73	27	of	of	ADP
iajs-2972	73	28	the	the	DET
iajs-2972	73	29	proposed	propose	VERB
iajs-2972	73	30	estimators	estimator	NOUN
iajs-2972	73	31	as	as	SCONJ
iajs-2972	73	32	follows	follow	VERB
iajs-2972	73	33	;	;	PUNCT
iajs-2972	73	34	�	�	PROPN
iajs-2972	73	35	̂	̂	NOUN
iajs-2972	73	36	�	�	NOUN
iajs-2972	73	37	sh2,	sh2,	X
iajs-2972	73	38	�	�	PROPN
iajs-2972	73	39	̂	̂	NOUN
iajs-2972	73	40	�	�	NOUN
iajs-2972	73	41	𝑇ℎ	𝑇ℎ	PROPN
iajs-2972	73	42	,	,	PUNCT
iajs-2972	73	43	�	�	NOUN
iajs-2972	73	44	̂	̂	VERB
iajs-2972	73	45	�	�	NOUN
iajs-2972	73	46	sq	sq	PROPN
iajs-2972	73	47	𝑎𝑛𝑑	𝑎𝑛𝑑	PROPN
iajs-2972	73	48	�	�	PROPN
iajs-2972	73	49	̂	̂	PROPN
iajs-2972	73	50	�	�	NOUN
iajs-2972	73	51	sh1	sh1	NOUN
iajs-2972	73	52	depending	depend	VERB
iajs-2972	73	53	on	on	ADP
iajs-2972	73	54	the	the	DET
iajs-2972	73	55	mean	mean	ADJ
iajs-2972	73	56	square	square	NOUN
iajs-2972	73	57	error	error	NOUN
iajs-2972	73	58	.	.	PUNCT
iajs-2972	74	1	shrinkage	shrinkage	NOUN
iajs-2972	74	2	estimator	estimator	NOUN
iajs-2972	74	3	(	(	PUNCT
iajs-2972	74	4	�	�	PROPN
iajs-2972	74	5	̂	̂	NOUN
iajs-2972	74	6	�	�	NOUN
iajs-2972	74	7	𝑆ℎ2	𝑆ℎ2	PRON
iajs-2972	74	8	)	)	PUNCT
iajs-2972	74	9	was	be	AUX
iajs-2972	74	10	the	the	DET
iajs-2972	74	11	best	good	ADJ
iajs-2972	74	12	of	of	ADP
iajs-2972	74	13	others	other	NOUN
iajs-2972	74	14	estimators	estimator	NOUN
iajs-2972	74	15	followed	follow	VERB
iajs-2972	74	16	by	by	ADP
iajs-2972	74	17	the	the	DET
iajs-2972	74	18	modified	modify	VERB
iajs-2972	74	19	thompson	thompson	NOUN
iajs-2972	74	20	type	type	NOUN
iajs-2972	74	21	shrinkage	shrinkage	NOUN
iajs-2972	74	22	weight	weight	NOUN
iajs-2972	74	23	factor	factor	NOUN
iajs-2972	74	24	(	(	PUNCT
iajs-2972	74	25	�	�	NOUN
iajs-2972	74	26	̂	̂	NOUN
iajs-2972	74	27	�	�	NOUN
iajs-2972	74	28	𝑇ℎ	𝑇ℎ	NOUN
iajs-2972	74	29	)	)	PUNCT
iajs-2972	74	30	.	.	PUNCT
iajs-2972	75	1	the	the	DET
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iajs-2972	75	4	estimator	estimator	NOUN
iajs-2972	75	5	(	(	PUNCT
iajs-2972	75	6	�	�	PROPN
iajs-2972	75	7	̂	̂	NOUN
iajs-2972	75	8	�	�	NOUN
iajs-2972	75	9	𝑆𝑞	𝑆𝑞	NOUN
iajs-2972	75	10	)	)	PUNCT
iajs-2972	75	11	has	have	VERB
iajs-2972	75	12	the	the	DET
iajs-2972	75	13	third	third	ADJ
iajs-2972	75	14	rank	rank	NOUN
iajs-2972	75	15	,	,	PUNCT
iajs-2972	75	16	and	and	CCONJ
iajs-2972	75	17	finally	finally	ADV
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iajs-2972	75	19	constant	constant	ADJ
iajs-2972	75	20	shrinkage	shrinkage	NOUN
iajs-2972	75	21	estimator	estimator	NOUN
iajs-2972	75	22	�	�	PROPN
iajs-2972	75	23	̂	̂	PROPN
iajs-2972	75	24	�	�	NOUN
iajs-2972	75	25	𝑆ℎ1	𝑆ℎ1	NOUN
iajs-2972	75	26	.	.	PUNCT
iajs-2972	76	1	the	the	DET
iajs-2972	76	2	following	follow	VERB
iajs-2972	76	3	tables	table	NOUN
iajs-2972	76	4	(	(	PUNCT
iajs-2972	76	5	1	1	NUM
iajs-2972	76	6	-	-	SYM
iajs-2972	76	7	8)	8)	NUM
iajs-2972	76	8	will	will	AUX
iajs-2972	76	9	be	be	AUX
iajs-2972	76	10	presented	present	VERB
iajs-2972	76	11	the	the	DET
iajs-2972	76	12	simulation	simulation	NOUN
iajs-2972	76	13	results	result	NOUN
iajs-2972	76	14	.	.	PUNCT
iajs-2972	77	1	ihjpas	ihjpas	PROPN
iajs-2972	77	2	.	.	PUNCT
iajs-2972	78	1	36(1)2023	36(1)2023	NUM
iajs-2972	78	2	278	278	NUM
iajs-2972	78	3	table	table	NOUN
iajs-2972	78	4	1	1	NUM
iajs-2972	78	5	:	:	PUNCT
iajs-2972	78	6	estimation	estimation	NOUN
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iajs-2972	78	8	of	of	ADP
iajs-2972	78	9	𝑅	𝑅	PROPN
iajs-2972	78	10	=	=	SYM
iajs-2972	78	11	0.802259	0.802259	NUM
iajs-2972	78	12	,	,	PUNCT
iajs-2972	78	13	when	when	SCONJ
iajs-2972	78	14	𝛼	𝛼	X
iajs-2972	78	15	=	=	SYM
iajs-2972	78	16	5	5	NUM
iajs-2972	78	17	,	,	PUNCT
iajs-2972	78	18	𝛽1	𝛽1	NOUN
iajs-2972	78	19	=	=	SYM
iajs-2972	78	20	4	4	NUM
iajs-2972	78	21	,	,	PUNCT
iajs-2972	78	22	𝛽2	𝛽2	PROPN
iajs-2972	78	23	=	=	SYM
iajs-2972	78	24	5.2	5.2	NUM
iajs-2972	78	25	,	,	PUNCT
iajs-2972	78	26	𝛽3	𝛽3	NOUN
iajs-2972	78	27	=	=	SYM
iajs-2972	78	28	5	5	NUM
iajs-2972	78	29	𝑎𝑛𝑑	𝑎𝑛𝑑	ADJ
iajs-2972	78	30	𝛽4	𝛽4	PROPN
iajs-2972	78	31	=	=	SYM
iajs-2972	78	32	3.5	3.5	NUM
iajs-2972	78	33	(	(	PUNCT
iajs-2972	78	34	𝑛	𝑛	PROPN
iajs-2972	78	35	,	,	PUNCT
iajs-2972	78	36	𝑚1	𝑚1	PROPN
iajs-2972	78	37	,	,	PUNCT
iajs-2972	78	38	𝑚2	𝑚2	NOUN
iajs-2972	78	39	,	,	PUNCT
iajs-2972	78	40	𝑚3	𝑚3	NOUN
iajs-2972	78	41	)	)	PUNCT
iajs-2972	78	42	�	�	PROPN
iajs-2972	78	43	̂	̂	SYM
iajs-2972	78	44	�	�	PROPN
iajs-2972	78	45	𝑆ℎ1	𝑆ℎ1	NOUN
iajs-2972	78	46	�	�	PROPN
iajs-2972	78	47	̂	̂	NOUN
iajs-2972	78	48	�	�	PROPN
iajs-2972	78	49	𝑆ℎ2	𝑆ℎ2	NOUN
iajs-2972	78	50	�	�	NOUN
iajs-2972	78	51	̂	̂	SYM
iajs-2972	78	52	�	�	PROPN
iajs-2972	78	53	𝑇ℎ	𝑇ℎ	PROPN
iajs-2972	78	54	�	�	NOUN
iajs-2972	78	55	̂	̂	NOUN
iajs-2972	78	56	�	�	NOUN
iajs-2972	78	57	𝑆𝑞	𝑆𝑞	PROPN
iajs-2972	78	58	(	(	PUNCT
iajs-2972	78	59	20,20,20,20	20,20,20,20	NUM
iajs-2972	78	60	)	)	PUNCT
iajs-2972	78	61	0.802262	0.802262	NUM
iajs-2972	78	62	0.8022716997468	0.8022716997468	NUM
iajs-2972	78	63	0.8022598	0.8022598	NUM
iajs-2972	78	64	0.802268	0.802268	NUM
iajs-2972	78	65	(	(	PUNCT
iajs-2972	78	66	20,50,100,50	20,50,100,50	NUM
iajs-2972	78	67	)	)	PUNCT
iajs-2972	78	68	0.802264	0.802264	NUM
iajs-2972	78	69	0.8022716998468	0.8022716998468	NUM
iajs-2972	78	70	0.8022595	0.8022595	NUM
iajs-2972	78	71	0.802272	0.802272	NUM
iajs-2972	78	72	(	(	PUNCT
iajs-2972	78	73	20,30,20,50	20,30,20,50	NUM
iajs-2972	78	74	)	)	PUNCT
iajs-2972	78	75	0.802295	0.802295	NUM
iajs-2972	78	76	0.8022716998151	0.8022716998151	NUM
iajs-2972	78	77	0.8022600	0.8022600	NUM
iajs-2972	78	78	0.802277	0.802277	NUM
iajs-2972	78	79	(	(	PUNCT
iajs-2972	78	80	20,100,100,30	20,100,100,30	NUM
iajs-2972	78	81	)	)	PUNCT
iajs-2972	78	82	0.802246	0.802246	NUM
iajs-2972	78	83	0.8022716998033	0.8022716998033	NUM
iajs-2972	78	84	0.8022599	0.8022599	NUM
iajs-2972	78	85	0.802266	0.802266	NUM
iajs-2972	78	86	(	(	PUNCT
iajs-2972	78	87	30,50,100,100	30,50,100,100	NUM
iajs-2972	78	88	)	)	PUNCT
iajs-2972	78	89	0.802278	0.802278	NUM
iajs-2972	78	90	0.8022716998191	0.8022716998191	NUM
iajs-2972	78	91	0.8022602	0.8022602	NUM
iajs-2972	78	92	0.802282	0.802282	NUM
iajs-2972	78	93	(	(	PUNCT
iajs-2972	78	94	30,30,50,30	30,30,50,30	NUM
iajs-2972	78	95	)	)	PUNCT
iajs-2972	78	96	0.802249	0.802249	NUM
iajs-2972	78	97	0.8022716998191	0.8022716998191	NUM
iajs-2972	79	1	0.8022595	0.8022595	NUM
iajs-2972	79	2	0.802270	0.802270	NUM
iajs-2972	79	3	(	(	PUNCT
iajs-2972	79	4	30,20,50,50	30,20,50,50	NUM
iajs-2972	79	5	)	)	PUNCT
iajs-2972	79	6	0.802279	0.802279	NUM
iajs-2972	79	7	0.8022716997659	0.8022716997659	NUM
iajs-2972	80	1	0.8022597	0.8022597	NUM
iajs-2972	80	2	0.802282	0.802282	NUM
iajs-2972	80	3	(	(	PUNCT
iajs-2972	80	4	30,100,20,30	30,100,20,30	NUM
iajs-2972	80	5	)	)	PUNCT
iajs-2972	80	6	0.802238	0.802238	NUM
iajs-2972	80	7	0.8022716997839	0.8022716997839	NUM
iajs-2972	80	8	0.8022579	0.8022579	NUM
iajs-2972	80	9	0.802243	0.802243	NUM
iajs-2972	80	10	(	(	PUNCT
iajs-2972	80	11	50,50,50,50	50,50,50,50	PROPN
iajs-2972	80	12	)	)	PUNCT
iajs-2972	80	13	0.802252	0.802252	NUM
iajs-2972	80	14	0.8022716998191	0.8022716998191	NUM
iajs-2972	80	15	0.8022589	0.8022589	NUM
iajs-2972	80	16	0.802262	0.802262	NUM
iajs-2972	80	17	(	(	PUNCT
iajs-2972	80	18	50,20,30,100	50,20,30,100	NUM
iajs-2972	80	19	)	)	PUNCT
iajs-2972	80	20	0.802283	0.802283	NUM
iajs-2972	80	21	0.8022716997827	0.8022716997827	NUM
iajs-2972	80	22	0.8022587	0.8022587	NUM
iajs-2972	80	23	0.802289	0.802289	NUM
iajs-2972	80	24	(	(	PUNCT
iajs-2972	80	25	50,100,100,50	50,100,100,50	NUM
iajs-2972	80	26	)	)	PUNCT
iajs-2972	80	27	0.802245	0.802245	NUM
iajs-2972	81	1	0.8022716998191	0.8022716998191	NUM
iajs-2972	81	2	0.8022593	0.8022593	NUM
iajs-2972	81	3	0.802263	0.802263	NUM
iajs-2972	81	4	(	(	PUNCT
iajs-2972	81	5	50,30,100,20	50,30,100,20	NUM
iajs-2972	81	6	)	)	PUNCT
iajs-2972	81	7	0.802204	0.802204	NUM
iajs-2972	81	8	0.8022716998490	0.8022716998490	NUM
iajs-2972	81	9	0.8022586	0.8022586	NUM
iajs-2972	81	10	0.802238	0.802238	NUM
iajs-2972	81	11	(	(	PUNCT
iajs-2972	81	12	100,20,30,30	100,20,30,30	NUM
iajs-2972	81	13	)	)	PUNCT
iajs-2972	81	14	0.802263	0.802263	NUM
iajs-2972	81	15	0.8022716997906	0.8022716997906	NUM
iajs-2972	81	16	0.8022602	0.8022602	NUM
iajs-2972	81	17	0.802280	0.802280	NUM
iajs-2972	81	18	(	(	PUNCT
iajs-2972	81	19	100,30,50,20	100,30,50,20	NUM
iajs-2972	81	20	)	)	PUNCT
iajs-2972	81	21	0.802205	0.802205	NUM
iajs-2972	81	22	0.8022716997592	0.8022716997592	NUM
iajs-2972	81	23	0.8022584	0.8022584	NUM
iajs-2972	81	24	0.802252	0.802252	NUM
iajs-2972	81	25	(	(	PUNCT
iajs-2972	81	26	100,100,20,50	100,100,20,50	NUM
iajs-2972	81	27	)	)	PUNCT
iajs-2972	81	28	0.802272	0.802272	NUM
iajs-2972	81	29	0.8022716997937	0.8022716997937	NUM
iajs-2972	81	30	0.8022602	0.8022602	NUM
iajs-2972	81	31	0.802271	0.802271	NUM
iajs-2972	81	32	(	(	PUNCT
iajs-2972	81	33	100,50,20,20	100,50,20,20	NUM
iajs-2972	81	34	)	)	PUNCT
iajs-2972	81	35	0.802218	0.802218	NUM
iajs-2972	81	36	0.8022716997321	0.8022716997321	NUM
iajs-2972	81	37	0.8022588	0.8022588	NUM
iajs-2972	81	38	0.802245	0.802245	NUM
iajs-2972	81	39	table	table	NOUN
iajs-2972	81	40	2	2	NUM
iajs-2972	81	41	.	.	PUNCT
iajs-2972	81	42	mse	mse	NOUN
iajs-2972	81	43	value	value	NOUN
iajs-2972	81	44	of	of	ADP
iajs-2972	81	45	𝑅	𝑅	PROPN
iajs-2972	81	46	=	=	SYM
iajs-2972	81	47	0.802259	0.802259	NUM
iajs-2972	81	48	,	,	PUNCT
iajs-2972	81	49	when	when	SCONJ
iajs-2972	81	50	𝛼	𝛼	X
iajs-2972	81	51	=	=	SYM
iajs-2972	81	52	5	5	NUM
iajs-2972	81	53	,	,	PUNCT
iajs-2972	81	54	𝛽1	𝛽1	NOUN
iajs-2972	81	55	=	=	SYM
iajs-2972	81	56	4	4	NUM
iajs-2972	81	57	,	,	PUNCT
iajs-2972	81	58	𝛽2	𝛽2	PROPN
iajs-2972	81	59	=	=	SYM
iajs-2972	81	60	5.2	5.2	NUM
iajs-2972	81	61	,	,	PUNCT
iajs-2972	81	62	𝛽3	𝛽3	NOUN
iajs-2972	81	63	=	=	SYM
iajs-2972	81	64	5	5	NUM
iajs-2972	81	65	𝑎𝑛𝑑	𝑎𝑛𝑑	ADJ
iajs-2972	81	66	𝛽4	𝛽4	PROPN
iajs-2972	81	67	=	=	SYM
iajs-2972	81	68	3.5	3.5	NUM
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iajs-2972	81	70	𝑛,𝑚1	𝑛,𝑚1	PROPN
iajs-2972	81	71	,	,	PUNCT
iajs-2972	81	72	𝑚2	𝑚2	NOUN
iajs-2972	81	73	,	,	PUNCT
iajs-2972	81	74	𝑚3	𝑚3	NOUN
iajs-2972	81	75	)	)	PUNCT
iajs-2972	81	76	�	�	PROPN
iajs-2972	81	77	̂	̂	SYM
iajs-2972	81	78	�	�	PROPN
iajs-2972	81	79	𝑆ℎ1	𝑆ℎ1	NOUN
iajs-2972	81	80	�	�	PROPN
iajs-2972	81	81	̂	̂	NOUN
iajs-2972	81	82	�	�	PROPN
iajs-2972	81	83	𝑆ℎ2	𝑆ℎ2	NOUN
iajs-2972	81	84	�	�	NOUN
iajs-2972	81	85	̂	̂	SYM
iajs-2972	81	86	�	�	PROPN
iajs-2972	81	87	𝑇ℎ	𝑇ℎ	PROPN
iajs-2972	81	88	�	�	NOUN
iajs-2972	81	89	̂	̂	NOUN
iajs-2972	81	90	�	�	NOUN
iajs-2972	81	91	𝑆𝑞	𝑆𝑞	PROPN
iajs-2972	81	92	(	(	PUNCT
iajs-2972	81	93	20,20,20,20	20,20,20,20	NUM
iajs-2972	81	94	)	)	PUNCT
iajs-2972	81	95	2.0732e-07	2.0732e-07	NUM
iajs-2972	81	96	1.39541e-010	1.39541e-010	PROPN
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iajs-2972	81	98	6.0409e-08	6.0409e-08	NUM
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iajs-2972	81	100	20,50,100,50	20,50,100,50	NUM
iajs-2972	81	101	)	)	PUNCT
iajs-2972	81	102	8.1335e-07	8.1335e-07	NUM
iajs-2972	81	103	1.39543e-09	1.39543e-09	NUM
iajs-2972	81	104	5.8360e-09	5.8360e-09	NUM
iajs-2972	81	105	2.4349e-07	2.4349e-07	NUM
iajs-2972	81	106	(	(	PUNCT
iajs-2972	81	107	20,30,20,50	20,30,20,50	NUM
iajs-2972	81	108	)	)	PUNCT
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iajs-2972	81	110	1.39542e-010	1.39542e-010	PROPN
iajs-2972	81	111	7.3684e-010	7.3684e-010	PROPN
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iajs-2972	81	115	)	)	PUNCT
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iajs-2972	81	117	1.39542e-010	1.39542e-010	PROPN
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iajs-2972	81	122	)	)	PUNCT
iajs-2972	81	123	4.6577e-07	4.6577e-07	NUM
iajs-2972	81	124	1.39542e-09	1.39542e-09	NUM
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iajs-2972	81	126	1.2336e-07	1.2336e-07	NUM
iajs-2972	81	127	(	(	PUNCT
iajs-2972	81	128	30,30,50,30	30,30,50,30	NUM
iajs-2972	81	129	)	)	PUNCT
iajs-2972	81	130	1.2119e-07	1.2119e-07	NUM
iajs-2972	81	131	1.39543e-010	1.39543e-010	NUM
iajs-2972	81	132	8.4560e-010	8.4560e-010	NUM
iajs-2972	81	133	2.7734e-08	2.7734e-08	NUM
iajs-2972	81	134	(	(	PUNCT
iajs-2972	81	135	30,20,50,50	30,20,50,50	NUM
iajs-2972	81	136	)	)	PUNCT
iajs-2972	81	137	9.1350e-07	9.1350e-07	NUM
iajs-2972	81	138	1.39541e-09	1.39541e-09	NUM
iajs-2972	81	139	6.6416e-09	6.6416e-09	NUM
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iajs-2972	81	142	30,100,20,30	30,100,20,30	NUM
iajs-2972	81	143	)	)	PUNCT
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iajs-2972	81	145	1.39542e-010	1.39542e-010	PROPN
iajs-2972	81	146	9.9736e-010	9.9736e-010	PROPN
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iajs-2972	81	150	)	)	PUNCT
iajs-2972	81	151	7.2987e-07	7.2987e-07	NUM
iajs-2972	81	152	1.39542e-09	1.39542e-09	NUM
iajs-2972	81	153	5.3090e-09	5.3090e-09	NUM
iajs-2972	81	154	3.0470e-07	3.0470e-07	NUM
iajs-2972	81	155	(	(	PUNCT
iajs-2972	81	156	50,20,30,100	50,20,30,100	NUM
iajs-2972	81	157	)	)	PUNCT
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iajs-2972	81	162	(	(	PUNCT
iajs-2972	81	163	50,100,100,50	50,100,100,50	NUM
iajs-2972	81	164	)	)	PUNCT
iajs-2972	81	165	6.6753e-07	6.6753e-07	NUM
iajs-2972	81	166	1.39542e-09	1.39542e-09	NUM
iajs-2972	81	167	4.7857e-09	4.7857e-09	NUM
iajs-2972	81	168	1.6291e-07	1.6291e-07	NUM
iajs-2972	81	169	(	(	PUNCT
iajs-2972	81	170	50,30,100,20	50,30,100,20	NUM
iajs-2972	81	171	)	)	PUNCT
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iajs-2972	99	5	100,20,30,30	100,20,30,30	NUM
iajs-2972	99	6	)	)	PUNCT
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iajs-2972	100	6	)	)	PUNCT
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iajs-2972	101	6	)	)	PUNCT
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iajs-2972	102	5	100,50,20,20	100,50,20,20	NUM
iajs-2972	102	6	)	)	PUNCT
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iajs-2972	103	5	.	.	PUNCT
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iajs-2972	104	5	.	.	PUNCT
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iajs-2972	104	17	,	,	PUNCT
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iajs-2972	104	19	=	=	SYM
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iajs-2972	104	21	,	,	PUNCT
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iajs-2972	104	23	=	=	SYM
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iajs-2972	104	25	,	,	PUNCT
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iajs-2972	104	31	=	=	SYM
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iajs-2972	104	34	𝑛	𝑛	PROPN
iajs-2972	104	35	,	,	PUNCT
iajs-2972	104	36	𝑚1	𝑚1	PROPN
iajs-2972	104	37	,	,	PUNCT
iajs-2972	104	38	𝑚2	𝑚2	NOUN
iajs-2972	104	39	,	,	PUNCT
iajs-2972	104	40	𝑚3	𝑚3	NOUN
iajs-2972	104	41	)	)	PUNCT
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iajs-2972	104	43	̂	̂	SYM
iajs-2972	104	44	�	�	PROPN
iajs-2972	104	45	𝑆ℎ1	𝑆ℎ1	NOUN
iajs-2972	104	46	�	�	PROPN
iajs-2972	104	47	̂	̂	NOUN
iajs-2972	104	48	�	�	PROPN
iajs-2972	104	49	𝑆ℎ2	𝑆ℎ2	NOUN
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iajs-2972	104	51	̂	̂	SYM
iajs-2972	104	52	�	�	PROPN
iajs-2972	104	53	𝑇ℎ	𝑇ℎ	PROPN
iajs-2972	104	54	�	�	NOUN
iajs-2972	104	55	̂	̂	NOUN
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iajs-2972	104	57	𝑆𝑞	𝑆𝑞	PROPN
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iajs-2972	104	67	)	)	PUNCT
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iajs-2972	105	5	20,30,20,50	20,30,20,50	NUM
iajs-2972	105	6	)	)	PUNCT
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iajs-2972	105	8	0.7916805602060	0.7916805602060	NUM
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iajs-2972	105	15	0.7916805601476	0.7916805601476	NUM
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iajs-2972	105	19	30,50,100,100	30,50,100,100	NUM
iajs-2972	105	20	)	)	PUNCT
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iajs-2972	106	4	(	(	PUNCT
iajs-2972	106	5	30,30,50,30	30,30,50,30	NUM
iajs-2972	106	6	)	)	PUNCT
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iajs-2972	106	12	30,20,50,50	30,20,50,50	NUM
iajs-2972	106	13	)	)	PUNCT
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iajs-2972	107	4	(	(	PUNCT
iajs-2972	107	5	30,100,20,30	30,100,20,30	NUM
iajs-2972	107	6	)	)	PUNCT
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iajs-2972	108	5	50,50,50,50	50,50,50,50	NUM
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iajs-2972	109	5	50,20,30,100	50,20,30,100	NUM
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iajs-2972	109	19	50,30,100,20	50,30,100,20	PROPN
iajs-2972	109	20	)	)	PUNCT
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iajs-2972	111	5	100,30,50,20	100,30,50,20	NUM
iajs-2972	111	6	)	)	PUNCT
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iajs-2972	111	13	)	)	PUNCT
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iajs-2972	111	16	0.7916654	0.7916654	NUM
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iajs-2972	111	20	)	)	PUNCT
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iajs-2972	111	45	,	,	PUNCT
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iajs-2972	111	47	=	=	SYM
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iajs-2972	111	54	𝑛,𝑚1	𝑛,𝑚1	PROPN
iajs-2972	111	55	,	,	PUNCT
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iajs-2972	111	58	𝑚3	𝑚3	NOUN
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iajs-2972	111	60	�	�	PROPN
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iajs-2972	111	63	𝑆ℎ1	𝑆ℎ1	NOUN
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iajs-2972	119	51	̂	̂	SYM
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iajs-2972	120	20	30,50,100,100	30,50,100,100	NUM
iajs-2972	120	21	)	)	PUNCT
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iajs-2972	120	34	30,20,50,50	30,20,50,50	NUM
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iajs-2972	120	42	)	)	PUNCT
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iajs-2972	120	83	100,30,50,20	100,30,50,20	NUM
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iajs-2972	125	14	1.6145e-07	1.6145e-07	NUM
iajs-2972	125	15	5.323e-012	5.323e-012	NUM
iajs-2972	125	16	1.2280e-09	1.2280e-09	NUM
iajs-2972	125	17	5.0486e-08	5.0486e-08	NUM
iajs-2972	125	18	(	(	PUNCT
iajs-2972	125	19	100,30,50,20	100,30,50,20	NUM
iajs-2972	125	20	)	)	PUNCT
iajs-2972	125	21	2.3598e-07	2.3598e-07	NUM
iajs-2972	125	22	5.323e-012	5.323e-012	NUM
iajs-2972	125	23	1.7385e-09	1.7385e-09	NUM
iajs-2972	125	24	1.8249e-07	1.8249e-07	NUM
iajs-2972	125	25	(	(	PUNCT
iajs-2972	125	26	100,100,20,50	100,100,20,50	NUM
iajs-2972	125	27	)	)	PUNCT
iajs-2972	125	28	1.0578e-06	1.0578e-06	NUM
iajs-2972	125	29	5.3230e-011	5.3230e-011	PROPN
iajs-2972	125	30	83475e-09	83475e-09	PROPN
iajs-2972	125	31	5.8070e-07	5.8070e-07	NUM
iajs-2972	125	32	(	(	PUNCT
iajs-2972	125	33	100,50,20,20	100,50,20,20	NUM
iajs-2972	125	34	)	)	PUNCT
iajs-2972	125	35	2.1892e-07	2.1892e-07	NUM
iajs-2972	125	36	5.323e-012	5.323e-012	NUM
iajs-2972	125	37	1.6044e-09	1.6044e-09	NUM
iajs-2972	125	38	8.6640e-08	8.6640e-08	NUM
iajs-2972	125	39	ihjpas	ihjpa	NOUN
iajs-2972	125	40	.	.	PUNCT
iajs-2972	126	1	36(1)2023	36(1)2023	NUM
iajs-2972	126	2	282	282	NUM
iajs-2972	126	3	7	7	NUM
iajs-2972	126	4	.	.	PUNCT
iajs-2972	126	5	conclusion	conclusion	VERB
iajs-2972	126	6	the	the	DET
iajs-2972	126	7	estimation	estimation	NOUN
iajs-2972	126	8	of	of	ADP
iajs-2972	126	9	s	s	NOUN
iajs-2972	126	10	-	-	PUNCT
iajs-2972	126	11	s	s	NOUN
iajs-2972	126	12	reliability	reliability	NOUN
iajs-2972	126	13	for	for	ADP
iajs-2972	126	14	two	two	NUM
iajs-2972	126	15	parameters	parameter	NOUN
iajs-2972	126	16	invers	inver	NOUN
iajs-2972	126	17	kumaraswamy	kumaraswamy	ADJ
iajs-2972	126	18	distribution	distribution	NOUN
iajs-2972	126	19	was	be	AUX
iajs-2972	126	20	introduced	introduce	VERB
iajs-2972	126	21	in	in	ADP
iajs-2972	126	22	this	this	DET
iajs-2972	126	23	paper	paper	NOUN
iajs-2972	126	24	using	use	VERB
iajs-2972	126	25	different	different	ADJ
iajs-2972	126	26	shrinkage	shrinkage	NOUN
iajs-2972	126	27	methods	method	NOUN
iajs-2972	126	28	and	and	CCONJ
iajs-2972	126	29	estimation	estimation	NOUN
iajs-2972	126	30	methods	method	NOUN
iajs-2972	126	31	,	,	PUNCT
iajs-2972	126	32	namely	namely	ADV
iajs-2972	126	33	:	:	PUNCT
iajs-2972	126	34	constant	constant	ADJ
iajs-2972	126	35	shrinkage	shrinkage	NOUN
iajs-2972	126	36	estimation	estimation	NOUN
iajs-2972	126	37	method	method	NOUN
iajs-2972	126	38	,	,	PUNCT
iajs-2972	126	39	modified	modify	VERB
iajs-2972	126	40	thompson	thompson	NOUN
iajs-2972	126	41	type	type	NOUN
iajs-2972	126	42	shrinkage	shrinkage	NOUN
iajs-2972	126	43	estimator	estimator	NOUN
iajs-2972	126	44	,	,	PUNCT
iajs-2972	126	45	shrinkage	shrinkage	NOUN
iajs-2972	126	46	function	function	NOUN
iajs-2972	126	47	estimator	estimator	NOUN
iajs-2972	126	48	,	,	PUNCT
iajs-2972	126	49	and	and	CCONJ
iajs-2972	126	50	squared	square	VERB
iajs-2972	126	51	shrinkage	shrinkage	NOUN
iajs-2972	126	52	estimator	estimator	NOUN
iajs-2972	126	53	.	.	PUNCT
iajs-2972	127	1	the	the	DET
iajs-2972	127	2	simulation	simulation	NOUN
iajs-2972	127	3	was	be	AUX
iajs-2972	127	4	exhibited	exhibit	VERB
iajs-2972	127	5	.	.	PUNCT
iajs-2972	128	1	based	base	VERB
iajs-2972	128	2	on	on	ADP
iajs-2972	128	3	the	the	DET
iajs-2972	128	4	results	result	NOUN
iajs-2972	128	5	,	,	PUNCT
iajs-2972	128	6	the	the	DET
iajs-2972	128	7	performance	performance	NOUN
iajs-2972	128	8	of	of	ADP
iajs-2972	128	9	the	the	DET
iajs-2972	128	10	shrinkage	shrinkage	NOUN
iajs-2972	128	11	function	function	NOUN
iajs-2972	128	12	estimator	estimator	NOUN
iajs-2972	128	13	was	be	AUX
iajs-2972	128	14	appropriate	appropriate	ADJ
iajs-2972	128	15	behavior	behavior	NOUN
iajs-2972	128	16	,	,	PUNCT
iajs-2972	128	17	and	and	CCONJ
iajs-2972	128	18	it	it	PRON
iajs-2972	128	19	is	be	AUX
iajs-2972	128	20	an	an	DET
iajs-2972	128	21	efficient	efficient	ADJ
iajs-2972	128	22	estimator	estimator	NOUN
iajs-2972	128	23	than	than	ADP
iajs-2972	128	24	the	the	DET
iajs-2972	128	25	others	other	NOUN
iajs-2972	128	26	in	in	ADP
iajs-2972	128	27	the	the	DET
iajs-2972	128	28	sense	sense	NOUN
iajs-2972	128	29	of	of	ADP
iajs-2972	128	30	mse	mse	NOUN
iajs-2972	128	31	based	base	VERB
iajs-2972	128	32	on	on	ADP
iajs-2972	128	33	four	four	NUM
iajs-2972	128	34	parameters	parameter	NOUN
iajs-2972	128	35	(	(	PUNCT
iajs-2972	128	36	𝛽1	𝛽1	NOUN
iajs-2972	128	37	,	,	PUNCT
iajs-2972	128	38	𝛽2	𝛽2	PROPN
iajs-2972	128	39	,	,	PUNCT
iajs-2972	128	40	𝛽3	𝛽3	PROPN
iajs-2972	128	41	,	,	PUNCT
iajs-2972	128	42	𝛽4	𝛽4	PROPN
iajs-2972	128	43	)	)	PUNCT
iajs-2972	128	44	.	.	PUNCT
iajs-2972	129	1	while	while	SCONJ
iajs-2972	129	2	modified	modify	VERB
iajs-2972	129	3	thompson	thompson	NOUN
iajs-2972	129	4	type	type	NOUN
iajs-2972	129	5	shrinkage	shrinkage	NOUN
iajs-2972	129	6	estimator	estimator	NOUN
iajs-2972	129	7	had	have	VERB
iajs-2972	129	8	the	the	DET
iajs-2972	129	9	second	second	ADJ
iajs-2972	129	10	rank	rank	NOUN
iajs-2972	129	11	and	and	CCONJ
iajs-2972	129	12	followed	follow	VERB
iajs-2972	129	13	by	by	ADP
iajs-2972	129	14	squared	square	VERB
iajs-2972	129	15	shrinkage	shrinkage	NOUN
iajs-2972	129	16	estimator	estimator	NOUN
iajs-2972	129	17	and	and	CCONJ
iajs-2972	129	18	constant	constant	ADJ
iajs-2972	129	19	shrinkage	shrinkage	NOUN
iajs-2972	129	20	estimation	estimation	NOUN
iajs-2972	129	21	method	method	NOUN
iajs-2972	129	22	,	,	PUNCT
iajs-2972	129	23	respectively	respectively	ADV
iajs-2972	129	24	.	.	PUNCT
iajs-2972	130	1	references	reference	NOUN
iajs-2972	130	2	1.hameed	1.hameed	NUM
iajs-2972	130	3	,	,	PUNCT
iajs-2972	130	4	b.	b.	PROPN
iajs-2972	130	5	a.	a.	PROPN
iajs-2972	130	6	;	;	PUNCT
iajs-2972	130	7	salman	salman	PROPN
iajs-2972	130	8	,	,	PUNCT
iajs-2972	130	9	a.	a.	NOUN
iajs-2972	130	10	n.	n.	PROPN
iajs-2972	130	11	;	;	PUNCT
iajs-2972	130	12	kalaf	kalaf	PROPN
iajs-2972	130	13	,	,	PUNCT
iajs-2972	130	14	b.	b.	PROPN
iajs-2972	130	15	a.	a.	PROPN
iajs-2972	130	16	on	on	ADP
iajs-2972	130	17	estimation	estimation	NOUN
iajs-2972	130	18	of	of	ADP
iajs-2972	130	19	p	p	PROPN
iajs-2972	130	20	(	(	PUNCT
iajs-2972	130	21	y	y	X
iajs-2972	130	22	<	<	X
iajs-2972	130	23	x	x	NOUN
iajs-2972	130	24	)	)	PUNCT
iajs-2972	130	25	in	in	ADP
iajs-2972	130	26	case	case	NOUN
iajs-2972	130	27	inverse	inverse	NOUN
iajs-2972	130	28	kumaraswamy	kumaraswamy	NOUN
iajs-2972	130	29	distribution	distribution	NOUN
iajs-2972	130	30	.	.	PUNCT
iajs-2972	131	1	ibn	ibn	PROPN
iajs-2972	131	2	al	al	PROPN
iajs-2972	131	3	-	-	PUNCT
iajs-2972	131	4	haitham	haitham	PROPN
iajs-2972	131	5	journal	journal	PROPN
iajs-2972	131	6	for	for	ADP
iajs-2972	131	7	pure	pure	ADJ
iajs-2972	131	8	and	and	CCONJ
iajs-2972	131	9	applied	applied	ADJ
iajs-2972	131	10	sciences	science	NOUN
iajs-2972	131	11	,	,	PUNCT
iajs-2972	131	12	2020	2020	NUM
iajs-2972	131	13	,	,	PUNCT
iajs-2972	131	14	33(1	33(1	NUM
iajs-2972	131	15	)	)	PUNCT
iajs-2972	131	16	,	,	PUNCT
iajs-2972	131	17	108	108	NUM
iajs-2972	131	18	-	-	SYM
iajs-2972	131	19	118	118	NUM
iajs-2972	131	20	2.raheem	2.raheem	NUM
iajs-2972	131	21	,	,	PUNCT
iajs-2972	131	22	s.	s.	PROPN
iajs-2972	131	23	h.	h.	PROPN
iajs-2972	131	24	,	,	PUNCT
iajs-2972	131	25	kalaf	kalaf	PROPN
iajs-2972	131	26	,	,	PUNCT
iajs-2972	131	27	b.	b.	PROPN
iajs-2972	131	28	a.	a.	PROPN
iajs-2972	131	29	;	;	PUNCT
iajs-2972	131	30	salman	salman	PROPN
iajs-2972	131	31	,	,	PUNCT
iajs-2972	131	32	a.	a.	PROPN
iajs-2972	131	33	n.	n.	PROPN
iajs-2972	131	34	comparison	comparison	NOUN
iajs-2972	131	35	of	of	ADP
iajs-2972	131	36	some	some	PRON
iajs-2972	131	37	of	of	ADP
iajs-2972	131	38	estimation	estimation	NOUN
iajs-2972	131	39	methods	method	NOUN
iajs-2972	131	40	of	of	ADP
iajs-2972	131	41	stress	stress	NOUN
iajs-2972	131	42	-	-	PUNCT
iajs-2972	131	43	strength	strength	NOUN
iajs-2972	131	44	model	model	NOUN
iajs-2972	131	45	:	:	PUNCT
iajs-2972	131	46	r=	r=	PROPN
iajs-2972	131	47	p	p	X
iajs-2972	131	48	(	(	PUNCT
iajs-2972	131	49	y	y	X
iajs-2972	131	50	<	<	X
iajs-2972	131	51	x	x	X
iajs-2972	131	52	<	<	X
iajs-2972	131	53	z	z	PROPN
iajs-2972	131	54	)	)	PUNCT
iajs-2972	131	55	.	.	PUNCT
iajs-2972	132	1	baghdad	baghdad	PROPN
iajs-2972	132	2	science	science	PROPN
iajs-2972	132	3	journal	journal	PROPN
iajs-2972	132	4	,	,	PUNCT
iajs-2972	132	5	2021	2021	NUM
iajs-2972	132	6	,	,	PUNCT
iajs-2972	132	7	18(2	18(2	NUM
iajs-2972	132	8	(	(	PUNCT
iajs-2972	132	9	suppl	suppl	PROPN
iajs-2972	132	10	.	.	PUNCT
iajs-2972	132	11	)	)	PUNCT
iajs-2972	132	12	)	)	PUNCT
iajs-2972	132	13	,	,	PUNCT
iajs-2972	132	14	11031103	11031103	NUM
iajs-2972	132	15	.	.	PUNCT
iajs-2972	133	1	3.gupta	3.gupta	NUM
iajs-2972	133	2	,	,	PUNCT
iajs-2972	133	3	r.d	r.d	PROPN
iajs-2972	133	4	.	.	PROPN
iajs-2972	133	5	;	;	PUNCT
iajs-2972	133	6	gupta	gupta	PROPN
iajs-2972	133	7	,	,	PUNCT
iajs-2972	133	8	r.c	r.c	PROPN
iajs-2972	133	9	.	.	PROPN
iajs-2972	133	10	estimation	estimation	NOUN
iajs-2972	133	11	for	for	ADP
iajs-2972	133	12	pr	pr	NOUN
iajs-2972	133	13	(	(	PUNCT
iajs-2972	133	14	x	x	SYM
iajs-2972	133	15	>	>	PUNCT
iajs-2972	133	16	y	y	PROPN
iajs-2972	133	17	)	)	PUNCT
iajs-2972	133	18	in	in	ADP
iajs-2972	133	19	the	the	DET
iajs-2972	133	20	multivariate	multivariate	NOUN
iajs-2972	133	21	normal	normal	ADJ
iajs-2972	133	22	case	case	NOUN
iajs-2972	133	23	.	.	PUNCT
iajs-2972	134	1	statistic	statistic	NOUN
iajs-2972	134	2	,	,	PUNCT
iajs-2972	134	3	1990	1990	NUM
iajs-2972	134	4	,	,	PUNCT
iajs-2972	134	5	21	21	NUM
iajs-2972	134	6	,	,	PUNCT
iajs-2972	134	7	91–97	91–97	NUM
iajs-2972	134	8	.	.	PUNCT
iajs-2972	135	1	4.hanagal	4.hanagal	NUM
iajs-2972	135	2	,	,	PUNCT
iajs-2972	135	3	d.d	d.d	PROPN
iajs-2972	135	4	.	.	PROPN
iajs-2972	135	5	estimation	estimation	NOUN
iajs-2972	135	6	of	of	ADP
iajs-2972	135	7	system	system	NOUN
iajs-2972	135	8	reliability	reliability	NOUN
iajs-2972	135	9	under	under	ADP
iajs-2972	135	10	bivariate	bivariate	ADJ
iajs-2972	135	11	pareto	pareto	ADJ
iajs-2972	135	12	distribution	distribution	NOUN
iajs-2972	135	13	,	,	PUNCT
iajs-2972	135	14	parishankyan	parishankyan	ADJ
iajs-2972	135	15	samikkha	samikkha	NOUN
iajs-2972	135	16	,	,	PUNCT
iajs-2972	135	17	1996	1996	NUM
iajs-2972	135	18	,	,	PUNCT
iajs-2972	135	19	3	3	NUM
iajs-2972	135	20	,	,	PUNCT
iajs-2972	135	21	3	3	NUM
iajs-2972	135	22	-	-	SYM
iajs-2972	135	23	18	18	NUM
iajs-2972	135	24	.	.	PUNCT
iajs-2972	136	1	5.hangal	5.hangal	NUM
iajs-2972	136	2	,	,	PUNCT
iajs-2972	136	3	d.d	d.d	PROPN
iajs-2972	136	4	.	.	PROPN
iajs-2972	137	1	on	on	ADP
iajs-2972	137	2	the	the	DET
iajs-2972	137	3	estimation	estimation	NOUN
iajs-2972	137	4	of	of	ADP
iajs-2972	137	5	system	system	NOUN
iajs-2972	137	6	reliability	reliability	NOUN
iajs-2972	137	7	in	in	ADP
iajs-2972	137	8	stress	stress	NOUN
iajs-2972	137	9	-	-	PUNCT
iajs-2972	137	10	strength	strength	NOUN
iajs-2972	137	11	models	model	NOUN
iajs-2972	137	12	,	,	PUNCT
iajs-2972	137	13	economic	economic	ADJ
iajs-2972	137	14	quality	quality	NOUN
iajs-2972	137	15	control	control	NOUN
iajs-2972	137	16	,	,	PUNCT
iajs-2972	137	17	1998	1998	NUM
iajs-2972	137	18	,	,	PUNCT
iajs-2972	137	19	13	13	NUM
iajs-2972	137	20	,	,	PUNCT
iajs-2972	137	21	17	17	NUM
iajs-2972	137	22	-	-	SYM
iajs-2972	137	23	22	22	NUM
iajs-2972	137	24	.	.	PUNCT
iajs-2972	138	1	6.sezer	6.sezer	NUM
iajs-2972	138	2	,	,	PUNCT
iajs-2972	138	3	d.	d.	PROPN
iajs-2972	138	4	;	;	PUNCT
iajs-2972	138	5	kinaci	kinaci	PROPN
iajs-2972	138	6	,	,	PUNCT
iajs-2972	138	7	i.	i.	NOUN
iajs-2972	138	8	estimation	estimation	NOUN
iajs-2972	138	9	of	of	ADP
iajs-2972	138	10	a	a	DET
iajs-2972	138	11	stress	stress	NOUN
iajs-2972	138	12	-	-	PUNCT
iajs-2972	138	13	strength	strength	NOUN
iajs-2972	138	14	parameter	parameter	NOUN
iajs-2972	138	15	of	of	ADP
iajs-2972	138	16	a	a	DET
iajs-2972	138	17	parallel	parallel	ADJ
iajs-2972	138	18	system	system	NOUN
iajs-2972	138	19	for	for	ADP
iajs-2972	138	20	exponential	exponential	ADJ
iajs-2972	138	21	distribution	distribution	NOUN
iajs-2972	138	22	based	base	VERB
iajs-2972	138	23	on	on	ADP
iajs-2972	138	24	masked	masked	ADJ
iajs-2972	138	25	data	datum	NOUN
iajs-2972	138	26	,	,	PUNCT
iajs-2972	138	27	journal	journal	NOUN
iajs-2972	138	28	of	of	ADP
iajs-2972	138	29	selçuk	selçuk	PROPN
iajs-2972	138	30	university	university	NOUN
iajs-2972	138	31	natural	natural	ADJ
iajs-2972	138	32	and	and	CCONJ
iajs-2972	138	33	applied	applied	ADJ
iajs-2972	138	34	science	science	NOUN
iajs-2972	138	35	,	,	PUNCT
iajs-2972	138	36	2013	2013	NUM
iajs-2972	138	37	,	,	PUNCT
iajs-2972	138	38	2	2	NUM
iajs-2972	138	39	(	(	PUNCT
iajs-2972	138	40	3	3	NUM
iajs-2972	138	41	)	)	PUNCT
iajs-2972	138	42	,	,	PUNCT
iajs-2972	138	43	60	60	NUM
iajs-2972	138	44	-	-	SYM
iajs-2972	138	45	68	68	NUM
iajs-2972	138	46	.	.	PUNCT
iajs-2972	139	1	7.karam	7.karam	NUM
iajs-2972	139	2	,	,	PUNCT
iajs-2972	139	3	n.	n.	PROPN
iajs-2972	139	4	s.	s.	PROPN
iajs-2972	139	5	system	system	PROPN
iajs-2972	139	6	reliability	reliability	NOUN
iajs-2972	139	7	estimations	estimation	NOUN
iajs-2972	139	8	of	of	ADP
iajs-2972	139	9	models	model	NOUN
iajs-2972	139	10	using	use	VERB
iajs-2972	139	11	exponentiated	exponentiate	VERB
iajs-2972	139	12	exponential	exponential	ADJ
iajs-2972	139	13	distribution	distribution	NOUN
iajs-2972	139	14	,	,	PUNCT
iajs-2972	139	15	iraq	iraq	PROPN
iajs-2972	139	16	journal	journal	PROPN
iajs-2972	139	17	of	of	ADP
iajs-2972	139	18	science	science	NOUN
iajs-2972	139	19	,	,	PUNCT
iajs-2972	139	20	2013	2013	NUM
iajs-2972	139	21	,	,	PUNCT
iajs-2972	139	22	54(3	54(3	NUM
iajs-2972	139	23	)	)	PUNCT
iajs-2972	139	24	,	,	PUNCT
iajs-2972	139	25	828	828	NUM
iajs-2972	139	26	-	-	SYM
iajs-2972	139	27	835	835	NUM
iajs-2972	139	28	.	.	PUNCT
iajs-2972	140	1	8.cheng	8.cheng	NUM
iajs-2972	140	2	,	,	PUNCT
iajs-2972	140	3	c.	c.	NOUN
iajs-2972	140	4	reliability	reliability	NOUN
iajs-2972	140	5	of	of	ADP
iajs-2972	140	6	parallel	parallel	ADJ
iajs-2972	140	7	stress	stress	NOUN
iajs-2972	140	8	-	-	PUNCT
iajs-2972	140	9	strength	strength	NOUN
iajs-2972	140	10	model	model	NOUN
iajs-2972	140	11	,	,	PUNCT
iajs-2972	140	12	journal	journal	NOUN
iajs-2972	140	13	of	of	ADP
iajs-2972	140	14	mathematical	mathematical	ADJ
iajs-2972	140	15	research	research	NOUN
iajs-2972	140	16	with	with	ADP
iajs-2972	140	17	applications	application	NOUN
iajs-2972	140	18	,	,	PUNCT
iajs-2972	140	19	2018	2018	NUM
iajs-2972	140	20	,	,	PUNCT
iajs-2972	140	21	38	38	NUM
iajs-2972	140	22	,	,	PUNCT
iajs-2972	140	23	4	4	NUM
iajs-2972	140	24	,	,	PUNCT
iajs-2972	140	25	427	427	NUM
iajs-2972	140	26	-	-	SYM
iajs-2972	140	27	440	440	NUM
iajs-2972	140	28	.	.	PUNCT
iajs-2972	141	1	9.kumaraswamy	9.kumaraswamy	NUM
iajs-2972	141	2	,	,	PUNCT
iajs-2972	141	3	p.	p.	NOUN
iajs-2972	141	4	a	a	DET
iajs-2972	141	5	generalized	generalize	VERB
iajs-2972	141	6	probability	probability	NOUN
iajs-2972	141	7	density	density	NOUN
iajs-2972	141	8	function	function	NOUN
iajs-2972	141	9	for	for	ADP
iajs-2972	141	10	doublebounded	doublebounde	VERB
iajs-2972	141	11	random	random	ADJ
iajs-2972	141	12	processes	process	NOUN
iajs-2972	141	13	,	,	PUNCT
iajs-2972	141	14	journal	journal	NOUN
iajs-2972	141	15	of	of	ADP
iajs-2972	141	16	hydrology	hydrology	NOUN
iajs-2972	141	17	,	,	PUNCT
iajs-2972	141	18	1980	1980	NUM
iajs-2972	141	19	,	,	PUNCT
iajs-2972	141	20	46	46	NUM
iajs-2972	141	21	(	(	PUNCT
iajs-2972	141	22	1	1	NUM
iajs-2972	141	23	-	-	SYM
iajs-2972	141	24	2	2	NUM
iajs-2972	141	25	)	)	PUNCT
iajs-2972	141	26	,	,	PUNCT
iajs-2972	141	27	79	79	NUM
iajs-2972	141	28	-	-	SYM
iajs-2972	141	29	88	88	NUM
iajs-2972	141	30	.	.	PUNCT
iajs-2972	142	1	10.jones	10.jones	NUM
iajs-2972	142	2	,	,	PUNCT
iajs-2972	142	3	m.	m.	NOUN
iajs-2972	142	4	c.	c.	PROPN
iajs-2972	142	5	kumaraswamy	kumaraswamy	PROPN
iajs-2972	142	6	’s	’s	PART
iajs-2972	142	7	distribution	distribution	NOUN
iajs-2972	142	8	:	:	PUNCT
iajs-2972	142	9	a	a	DET
iajs-2972	142	10	beta	beta	NOUN
iajs-2972	142	11	-	-	PUNCT
iajs-2972	142	12	type	type	NOUN
iajs-2972	142	13	distribution	distribution	NOUN
iajs-2972	142	14	with	with	ADP
iajs-2972	142	15	some	some	DET
iajs-2972	142	16	tractability	tractability	NOUN
iajs-2972	142	17	advantages	advantage	NOUN
iajs-2972	142	18	,	,	PUNCT
iajs-2972	142	19	statistical	statistical	ADJ
iajs-2972	142	20	methodology	methodology	NOUN
iajs-2972	142	21	.	.	PUNCT
iajs-2972	143	1	2009	2009	NUM
iajs-2972	143	2	,	,	PUNCT
iajs-2972	143	3	6	6	NUM
iajs-2972	143	4	,	,	PUNCT
iajs-2972	143	5	1	1	NUM
iajs-2972	143	6	,	,	PUNCT
iajs-2972	143	7	70	70	NUM
iajs-2972	143	8	-	-	SYM
iajs-2972	143	9	81	81	NUM
iajs-2972	143	10	.	.	PUNCT
iajs-2972	144	1	11.al	11.al	NOUN
iajs-2972	144	2	-	-	PUNCT
iajs-2972	144	3	fattah	fattah	PROPN
iajs-2972	144	4	,	,	PUNCT
iajs-2972	144	5	a.	a.	NOUN
iajs-2972	144	6	m.	m.	NOUN
iajs-2972	144	7	,	,	PUNCT
iajs-2972	144	8	;	;	PUNCT
iajs-2972	144	9	el	el	PROPN
iajs-2972	144	10	-	-	PUNCT
iajs-2972	144	11	helbawy	helbawy	PROPN
iajs-2972	144	12	,	,	PUNCT
iajs-2972	144	13	a.	a.	NOUN
iajs-2972	144	14	a.	a.	NOUN
iajs-2972	144	15	;	;	PUNCT
iajs-2972	145	1	al	al	PROPN
iajs-2972	145	2	-	-	PUNCT
iajs-2972	145	3	dayian	dayian	PROPN
iajs-2972	145	4	,	,	PUNCT
iajs-2972	145	5	g.r	g.r	PROPN
iajs-2972	145	6	.	.	PROPN
iajs-2972	145	7	inverted	invert	VERB
iajs-2972	145	8	kumaraswamy	kumaraswamy	ADJ
iajs-2972	145	9	distribution	distribution	NOUN
iajs-2972	145	10	:	:	PUNCT
iajs-2972	145	11	properties	property	NOUN
iajs-2972	145	12	and	and	CCONJ
iajs-2972	145	13	estimation	estimation	NOUN
iajs-2972	145	14	,	,	PUNCT
iajs-2972	145	15	pakistan	pakistan	PROPN
iajs-2972	145	16	journal	journal	PROPN
iajs-2972	145	17	of	of	ADP
iajs-2972	145	18	statistics	statistic	NOUN
iajs-2972	145	19	,	,	PUNCT
iajs-2972	145	20	2017	2017	NUM
iajs-2972	145	21	,	,	PUNCT
iajs-2972	145	22	33(1	33(1	NUM
iajs-2972	145	23	)	)	PUNCT
iajs-2972	145	24	,	,	PUNCT
iajs-2972	145	25	37	37	NUM
iajs-2972	145	26	-	-	SYM
iajs-2972	145	27	61	61	NUM
iajs-2972	145	28	.	.	PUNCT
iajs-2972	146	1	12.fatima	12.fatima	NUM
iajs-2972	146	2	,	,	PUNCT
iajs-2972	146	3	k.	k.	PROPN
iajs-2972	146	4	;	;	PUNCT
iajs-2972	146	5	jan	jan	PROPN
iajs-2972	146	6	,	,	PUNCT
iajs-2972	146	7	u.	u.	PROPN
iajs-2972	146	8	,	,	PUNCT
iajs-2972	146	9	;	;	PUNCT
iajs-2972	146	10	ahmad	ahmad	PROPN
iajs-2972	146	11	,	,	PUNCT
iajs-2972	146	12	s.	s.	PROPN
iajs-2972	146	13	p.	p.	PROPN
iajs-2972	147	1	statistical	statistical	ADJ
iajs-2972	147	2	properties	property	NOUN
iajs-2972	147	3	and	and	CCONJ
iajs-2972	147	4	applications	application	NOUN
iajs-2972	147	5	of	of	ADP
iajs-2972	147	6	the	the	DET
iajs-2972	147	7	exponentiated	exponentiated	ADJ
iajs-2972	147	8	inverse	inverse	NOUN
iajs-2972	147	9	kumaraswamy	kumaraswamy	NOUN
iajs-2972	147	10	distribution	distribution	NOUN
iajs-2972	147	11	,	,	PUNCT
iajs-2972	147	12	journal	journal	NOUN
iajs-2972	147	13	of	of	ADP
iajs-2972	147	14	reliability	reliability	NOUN
iajs-2972	147	15	and	and	CCONJ
iajs-2972	147	16	statistical	statistical	ADJ
iajs-2972	147	17	studies	study	NOUN
iajs-2972	147	18	,	,	PUNCT
iajs-2972	147	19	2018	2018	NUM
iajs-2972	147	20	,	,	PUNCT
iajs-2972	147	21	11(1	11(1	NUM
iajs-2972	147	22	)	)	PUNCT
iajs-2972	147	23	,	,	PUNCT
iajs-2972	147	24	93	93	NUM
iajs-2972	147	25	-	-	SYM
iajs-2972	147	26	102	102	NUM
iajs-2972	147	27	.	.	PUNCT
iajs-2972	148	1	13.iqbal	13.iqbal	NUM
iajs-2972	148	2	,	,	PUNCT
iajs-2972	148	3	z.;tahir	z.;tahir	NUM
iajs-2972	148	4	,	,	PUNCT
iajs-2972	148	5	m.	m.	NOUN
iajs-2972	148	6	m.	m.	NOUN
iajs-2972	148	7	;	;	PUNCT
iajs-2972	148	8	riaz	riaz	PROPN
iajs-2972	148	9	,	,	PUNCT
iajs-2972	148	10	n.	n.	PROPN
iajs-2972	148	11	;	;	PUNCT
iajs-2972	148	12	ali	ali	PROPN
iajs-2972	148	13	,	,	PUNCT
iajs-2972	148	14	s.	s.	PROPN
iajs-2972	148	15	a.	a.	PROPN
iajs-2972	148	16	;	;	PUNCT
iajs-2972	148	17	ahmad	ahmad	PROPN
iajs-2972	148	18	,	,	PUNCT
iajs-2972	148	19	m.	m.	NOUN
iajs-2972	148	20	generalized	generalize	VERB
iajs-2972	148	21	inverted	invert	VERB
iajs-2972	148	22	kumaraswamy	kumaraswamy	ADJ
iajs-2972	148	23	distribution	distribution	NOUN
iajs-2972	148	24	:	:	PUNCT
iajs-2972	148	25	properties	property	NOUN
iajs-2972	148	26	and	and	CCONJ
iajs-2972	148	27	application	application	NOUN
iajs-2972	148	28	"	"	PUNCT
iajs-2972	148	29	,	,	PUNCT
iajs-2972	148	30	open	open	ADJ
iajs-2972	148	31	journal	journal	NOUN
iajs-2972	148	32	of	of	ADP
iajs-2972	148	33	statistics	statistic	NOUN
iajs-2972	148	34	,	,	PUNCT
iajs-2972	148	35	2017	2017	NUM
iajs-2972	148	36	,	,	PUNCT
iajs-2972	148	37	7(04	7(04	NOUN
iajs-2972	148	38	)	)	PUNCT
iajs-2972	148	39	,	,	PUNCT
iajs-2972	148	40	645	645	NUM
iajs-2972	148	41	-	-	SYM
iajs-2972	148	42	662	662	NUM
iajs-2972	148	43	.	.	PUNCT
iajs-2972	149	1	14.karam	14.karam	NUM
iajs-2972	149	2	,	,	PUNCT
iajs-2972	149	3	n.	n.	PROPN
iajs-2972	149	4	s.	s.	PROPN
iajs-2972	149	5	;	;	PUNCT
iajs-2972	149	6	ali	ali	PROPN
iajs-2972	149	7	,	,	PUNCT
iajs-2972	149	8	h.	h.	PROPN
iajs-2972	149	9	m.	m.	PROPN
iajs-2972	149	10	estimation	estimation	NOUN
iajs-2972	149	11	of	of	ADP
iajs-2972	149	12	two	two	NUM
iajs-2972	149	13	component	component	NOUN
iajs-2972	149	14	parallel	parallel	NOUN
iajs-2972	149	15	system	system	NOUN
iajs-2972	149	16	reliability	reliability	NOUN
iajs-2972	149	17	stressstrength	stressstrength	NOUN
iajs-2972	149	18	using	use	VERB
iajs-2972	149	19	lomax	lomax	PROPN
iajs-2972	149	20	distribution	distribution	NOUN
iajs-2972	149	21	.	.	PUNCT
iajs-2972	150	1	magistra	magistra	PROPN
iajs-2972	150	2	,	,	PUNCT
iajs-2972	150	3	2014	2014	NUM
iajs-2972	150	4	,	,	PUNCT
iajs-2972	150	5	26(88	26(88	NUM
iajs-2972	150	6	)	)	PUNCT
iajs-2972	150	7	,	,	PUNCT
iajs-2972	150	8	78	78	NUM
iajs-2972	150	9	.	.	PUNCT
iajs-2972	150	10	ihjpas	ihjpas	PROPN
iajs-2972	150	11	.	.	PUNCT
iajs-2972	151	1	36(1)2023	36(1)2023	NUM
iajs-2972	151	2	283	283	NUM
iajs-2972	151	3	15.kalaf	15.kalaf	NUM
iajs-2972	151	4	,	,	PUNCT
iajs-2972	151	5	b.	b.	PROPN
iajs-2972	151	6	a.	a.	PROPN
iajs-2972	151	7	;	;	PUNCT
iajs-2972	151	8	raheem	raheem	PROPN
iajs-2972	151	9	,	,	PUNCT
iajs-2972	151	10	s.	s.	PROPN
iajs-2972	151	11	h.	h.	PROPN
iajs-2972	151	12	;	;	PUNCT
iajs-2972	151	13	salman	salman	PROPN
iajs-2972	151	14	,	,	PUNCT
iajs-2972	151	15	a.	a.	PROPN
iajs-2972	151	16	n.	n.	PROPN
iajs-2972	151	17	estimation	estimation	NOUN
iajs-2972	151	18	of	of	ADP
iajs-2972	151	19	the	the	DET
iajs-2972	151	20	reliability	reliability	NOUN
iajs-2972	151	21	system	system	NOUN
iajs-2972	151	22	in	in	ADP
iajs-2972	151	23	model	model	NOUN
iajs-2972	151	24	of	of	ADP
iajs-2972	151	25	stress	stress	NOUN
iajs-2972	151	26	-	-	PUNCT
iajs-2972	151	27	strength	strength	NOUN
iajs-2972	151	28	according	accord	VERB
iajs-2972	151	29	to	to	ADP
iajs-2972	151	30	distribution	distribution	NOUN
iajs-2972	151	31	of	of	ADP
iajs-2972	151	32	inverse	inverse	NOUN
iajs-2972	151	33	rayleigh	rayleigh	PROPN
iajs-2972	151	34	.	.	PUNCT
iajs-2972	152	1	periodicals	periodical	NOUN
iajs-2972	152	2	of	of	ADP
iajs-2972	152	3	engineering	engineering	NOUN
iajs-2972	152	4	and	and	CCONJ
iajs-2972	152	5	natural	natural	ADJ
iajs-2972	152	6	sciences	science	NOUN
iajs-2972	152	7	(	(	PUNCT
iajs-2972	152	8	pen	pen	NOUN
iajs-2972	152	9	)	)	PUNCT
iajs-2972	152	10	,	,	PUNCT
iajs-2972	152	11	2021	2021	NUM
iajs-2972	152	12	,	,	PUNCT
iajs-2972	152	13	9(2	9(2	NUM
iajs-2972	152	14	)	)	PUNCT
iajs-2972	152	15	,	,	PUNCT
iajs-2972	152	16	524	524	NUM
iajs-2972	152	17	-	-	SYM
iajs-2972	152	18	533	533	NUM
iajs-2972	152	19	.	.	PUNCT
iajs-2972	153	1	16.ibrahim	16.ibrahim	NUM
iajs-2972	153	2	,	,	PUNCT
iajs-2972	153	3	a.	a.	NOUN
iajs-2972	153	4	;	;	PUNCT
iajs-2972	153	5	kalaf	kalaf	PROPN
iajs-2972	153	6	,	,	PUNCT
iajs-2972	153	7	b.	b.	PROPN
iajs-2972	153	8	a.	a.	PROPN
iajs-2972	153	9	estimation	estimation	NOUN
iajs-2972	153	10	of	of	ADP
iajs-2972	153	11	the	the	DET
iajs-2972	153	12	survival	survival	NOUN
iajs-2972	153	13	function	function	NOUN
iajs-2972	153	14	based	base	VERB
iajs-2972	153	15	on	on	ADP
iajs-2972	153	16	the	the	DET
iajs-2972	153	17	log	log	NOUN
iajs-2972	153	18	-	-	PUNCT
iajs-2972	153	19	logistic	logistic	ADJ
iajs-2972	153	20	distribution	distribution	NOUN
iajs-2972	153	21	.	.	PUNCT
iajs-2972	154	1	international	international	ADJ
iajs-2972	154	2	journal	journal	PROPN
iajs-2972	154	3	of	of	ADP
iajs-2972	154	4	nonlinear	nonlinear	ADJ
iajs-2972	154	5	analysis	analysis	NOUN
iajs-2972	154	6	and	and	CCONJ
iajs-2972	154	7	applications	application	NOUN
iajs-2972	154	8	,	,	PUNCT
iajs-2972	154	9	2022	2022	NUM
iajs-2972	154	10	,	,	PUNCT
iajs-2972	154	11	13(1	13(1	NUM
iajs-2972	154	12	)	)	PUNCT
iajs-2972	154	13	,	,	PUNCT
iajs-2972	154	14	127	127	NUM
iajs-2972	154	15	-	-	SYM
iajs-2972	154	16	141	141	NUM
iajs-2972	154	17	.	.	PUNCT
iajs-2972	155	1	17.thompson	17.thompson	NUM
iajs-2972	155	2	,	,	PUNCT
iajs-2972	155	3	j.r	j.r	PROPN
iajs-2972	155	4	.	.	PROPN
iajs-2972	156	1	some	some	DET
iajs-2972	156	2	shrinkage	shrinkage	NOUN
iajs-2972	156	3	techniques	technique	NOUN
iajs-2972	156	4	for	for	ADP
iajs-2972	156	5	estimating	estimate	VERB
iajs-2972	156	6	the	the	DET
iajs-2972	156	7	mean	mean	NOUN
iajs-2972	156	8	.	.	PUNCT
iajs-2972	157	1	j.	j.	PROPN
iajs-2972	157	2	amer	amer	PROPN
iajs-2972	157	3	.	.	PUNCT
iajs-2972	157	4	statist	statist	PROPN
iajs-2972	157	5	.	.	PUNCT
iajs-2972	158	1	assoc	assoc	PROPN
iajs-2972	158	2	.	.	PUNCT
iajs-2972	159	1	1968	1968	NUM
iajs-2972	159	2	,	,	PUNCT
iajs-2972	159	3	63	63	NUM
iajs-2972	159	4	,	,	PUNCT
iajs-2972	159	5	113	113	NUM
iajs-2972	159	6	-	-	SYM
iajs-2972	159	7	122	122	NUM
iajs-2972	159	8	.	.	PUNCT
iajs-2972	160	1	18.al	18.al	NOUN
iajs-2972	160	2	-	-	NOUN
iajs-2972	160	3	hemyari	hemyari	NOUN
iajs-2972	160	4	,	,	PUNCT
iajs-2972	160	5	z.	z.	PROPN
iajs-2972	160	6	a.	a.	PROPN
iajs-2972	160	7	;	;	PUNCT
iajs-2972	160	8	khurshid	khurshid	PROPN
iajs-2972	160	9	.	.	PUNCT
iajs-2972	160	10	a.	a.	PROPN
iajs-2972	160	11	;	;	PUNCT
iajs-2972	160	12	al	al	PROPN
iajs-2972	160	13	-	-	PUNCT
iajs-2972	160	14	joberi	joberi	PROPN
iajs-2972	160	15	.	.	PUNCT
iajs-2972	161	1	a.n	a.n	PROPN
iajs-2972	161	2	.	.	PROPN
iajs-2972	162	1	on	on	ADP
iajs-2972	162	2	thompson	thompson	PROPN
iajs-2972	162	3	type	type	NOUN
iajs-2972	162	4	estimators	estimator	NOUN
iajs-2972	162	5	for	for	ADP
iajs-2972	162	6	the	the	DET
iajs-2972	162	7	mean	mean	NOUN
iajs-2972	162	8	of	of	ADP
iajs-2972	162	9	normal	normal	ADJ
iajs-2972	162	10	distribution	distribution	NOUN
iajs-2972	162	11	,	,	PUNCT
iajs-2972	162	12	revista	revista	ADJ
iajs-2972	162	13	investigation	investigation	NOUN
iajs-2972	162	14	operational	operational	PROPN
iajs-2972	162	15	j.	j.	PROPN
iajs-2972	162	16	2009	2009	NUM
iajs-2972	162	17	,	,	PUNCT
iajs-2972	162	18	30	30	NUM
iajs-2972	162	19	(	(	PUNCT
iajs-2972	162	20	2),109	2),109	VERB
iajs-2972	162	21	-	-	PUNCT
iajs-2972	162	22	116	116	NUM
iajs-2972	162	23	.	.	PUNCT
iajs-2972	163	1	19.jebur	19.jebur	PROPN
iajs-2972	163	2	,	,	PUNCT
iajs-2972	163	3	i.	i.	PROPN
iajs-2972	163	4	g.	g.	PROPN
iajs-2972	163	5	;	;	PUNCT
iajs-2972	163	6	kalaf	kalaf	PROPN
iajs-2972	163	7	,	,	PUNCT
iajs-2972	163	8	b.	b.	PROPN
iajs-2972	163	9	a.	a.	PROPN
iajs-2972	163	10	;	;	PUNCT
iajs-2972	163	11	salman	salman	PROPN
iajs-2972	163	12	,	,	PUNCT
iajs-2972	163	13	a.	a.	PROPN
iajs-2972	163	14	n.	n.	PROPN
iajs-2972	163	15	an	an	DET
iajs-2972	163	16	efficient	efficient	ADJ
iajs-2972	163	17	shrinkage	shrinkage	NOUN
iajs-2972	163	18	estimator	estimator	NOUN
iajs-2972	163	19	for	for	ADP
iajs-2972	163	20	generalized	generalized	ADJ
iajs-2972	163	21	inverse	inverse	NOUN
iajs-2972	163	22	rayleigh	rayleigh	NOUN
iajs-2972	163	23	distribution	distribution	NOUN
iajs-2972	163	24	based	base	VERB
iajs-2972	163	25	on	on	ADP
iajs-2972	163	26	bounded	bounded	ADJ
iajs-2972	163	27	and	and	CCONJ
iajs-2972	163	28	series	series	VERB
iajs-2972	163	29	stress	stress	NOUN
iajs-2972	163	30	-	-	PUNCT
iajs-2972	163	31	strength	strength	NOUN
iajs-2972	163	32	models	model	NOUN
iajs-2972	163	33	.	.	PUNCT
iajs-2972	164	1	in	in	ADP
iajs-2972	164	2	journal	journal	PROPN
iajs-2972	164	3	of	of	ADP
iajs-2972	164	4	physics	physics	PROPN
iajs-2972	164	5	:	:	PUNCT
iajs-2972	164	6	conference	conference	NOUN
iajs-2972	164	7	series	series	NOUN
iajs-2972	164	8	.	.	PUNCT
iajs-2972	165	1	iop	iop	PROPN
iajs-2972	165	2	publishing	publishing	NOUN
iajs-2972	165	3	.	.	PUNCT
iajs-2972	166	1	2021	2021	NUM
iajs-2972	166	2	,	,	PUNCT
iajs-2972	166	3	may	may	AUX
iajs-2972	166	4	,	,	PUNCT
iajs-2972	166	5	1897	1897	NUM
iajs-2972	166	6	,	,	PUNCT
iajs-2972	166	7	1	1	NUM
iajs-2972	166	8	,	,	PUNCT
iajs-2972	166	9	012054	012054	NUM
iajs-2972	166	10	.	.	PUNCT
iajs-2972	167	1	20.an	20.an	NUM
iajs-2972	167	2	,	,	PUNCT
iajs-2972	167	3	a.	a.	PROPN
iajs-2972	167	4	j.	j.	PROPN
iajs-2972	167	5	;	;	PUNCT
iajs-2972	167	6	rahiem	rahiem	PROPN
iajs-2972	167	7	,	,	PUNCT
iajs-2972	167	8	s.	s.	PROPN
iajs-2972	167	9	h.	h.	PROPN
iajs-2972	167	10	;	;	PUNCT
iajs-2972	167	11	kalaf	kalaf	PROPN
iajs-2972	167	12	,	,	PUNCT
iajs-2972	167	13	b.	b.	PROPN
iajs-2972	167	14	a.	a.	NOUN
iajs-2972	167	15	estimate	estimate	VERB
iajs-2972	167	16	the	the	DET
iajs-2972	167	17	scale	scale	NOUN
iajs-2972	167	18	parameter	parameter	NOUN
iajs-2972	167	19	of	of	ADP
iajs-2972	167	20	exponential	exponential	ADJ
iajs-2972	167	21	distribution	distribution	NOUN
iajs-2972	167	22	via	via	ADP
iajs-2972	167	23	modified	modify	VERB
iajs-2972	167	24	two	two	NUM
iajs-2972	167	25	stage	stage	NOUN
iajs-2972	167	26	shrinkage	shrinkage	NOUN
iajs-2972	167	27	technique	technique	NOUN
iajs-2972	167	28	.	.	PUNCT
iajs-2972	168	1	journal	journal	NOUN
iajs-2972	168	2	of	of	ADP
iajs-2972	168	3	college	college	PROPN
iajs-2972	168	4	of	of	ADP
iajs-2972	168	5	education	education	NOUN
iajs-2972	168	6	,	,	PUNCT
iajs-2972	168	7	2010	2010	NUM
iajs-2972	168	8	(	(	PUNCT
iajs-2972	168	9	6	6	NUM
iajs-2972	168	10	)	)	PUNCT
iajs-2972	168	11	.	.	PUNCT
