id	sid	tid	token	lemma	pos
iajs-1825	1	1	microsoft	microsoft	PROPN
iajs-1825	1	2	word	word	NOUN
iajs-1825	1	3	147	147	NUM
iajs-1825	1	4	-	-	SYM
iajs-1825	1	5	156	156	NUM
iajs-1825	1	6	    	    	SPACE
iajs-1825	1	7	147	147	NUM
iajs-1825	1	8	ibn	ibn	PROPN
iajs-1825	1	9	al	al	PROPN
iajs-1825	1	10	-	-	PUNCT
iajs-1825	1	11	haitham	haitham	PROPN
iajs-1825	1	12	jour	jour	X
iajs-1825	1	13	.	.	PROPN
iajs-1825	2	1	for	for	ADP
iajs-1825	2	2	pure	pure	ADJ
iajs-1825	2	3	&	&	CCONJ
iajs-1825	2	4	appl.sci	appl.sci	PROPN
iajs-1825	2	5	.	.	PUNCT
iajs-1825	3	1	ihjpas	ihjpas	PROPN
iajs-1825	3	2	 	 	SPACE
iajs-1825	3	3	https://doi.org/10.30526/32.1.1825	https://doi.org/10.30526/32.1.1825	PROPN
iajs-1825	3	4	vol	vol	NOUN
iajs-1825	3	5	.	.	PUNCT
iajs-1825	4	1	32	32	NUM
iajs-1825	4	2	(	(	PUNCT
iajs-1825	4	3	1	1	NUM
iajs-1825	4	4	)	)	PUNCT
iajs-1825	4	5	2019	2019	NUM
iajs-1825	4	6	on	on	ADP
iajs-1825	4	7	shrinkage	shrinkage	NOUN
iajs-1825	4	8	estimation	estimation	NOUN
iajs-1825	4	9	for	for	ADP
iajs-1825	4	10	r	r	NOUN
iajs-1825	4	11	(	(	PUNCT
iajs-1825	4	12	s	s	PROPN
iajs-1825	4	13	,	,	PUNCT
iajs-1825	4	14	k	k	NOUN
iajs-1825	4	15	)	)	PUNCT
iajs-1825	4	16	in	in	ADP
iajs-1825	4	17	case	case	NOUN
iajs-1825	4	18	of	of	ADP
iajs-1825	4	19	exponentiated	exponentiated	ADJ
iajs-1825	4	20	pareto	pareto	ADJ
iajs-1825	4	21	distribution	distribution	NOUN
iajs-1825	4	22	eman	eman	NOUN
iajs-1825	4	23	ahmed	ahmed	PROPN
iajs-1825	4	24	abdulateef	abdulateef	PROPN
iajs-1825	4	25	emanahmed88717@gmail.com	emanahmed88717@gmail.com	PROPN
iajs-1825	5	1	abbas	abbas	PROPN
iajs-1825	5	2	najim	najim	PROPN
iajs-1825	5	3	salman	salman	PROPN
iajs-1825	5	4	abbasnajim66@yahoo.com	abbasnajim66@yahoo.com	PROPN
iajs-1825	5	5	  	  	SPACE
iajs-1825	5	6	department	department	NOUN
iajs-1825	5	7	of	of	ADP
iajs-1825	5	8	mathematics	mathematics	PROPN
iajs-1825	5	9	,	,	PUNCT
iajs-1825	5	10	college	college	NOUN
iajs-1825	5	11	of	of	ADP
iajs-1825	5	12	education	education	NOUN
iajs-1825	5	13	for	for	ADP
iajs-1825	5	14	pure	pure	ADJ
iajs-1825	5	15	science	science	NOUN
iajs-1825	5	16	ibn	ibn	PROPN
iajs-1825	5	17	al	al	PROPN
iajs-1825	5	18	–	–	PUNCT
iajs-1825	5	19	haitham	haitham	PROPN
iajs-1825	5	20	,	,	PUNCT
iajs-1825	5	21	university	university	PROPN
iajs-1825	5	22	of	of	ADP
iajs-1825	5	23	baghdad	baghdad	PROPN
iajs-1825	5	24	,	,	PUNCT
iajs-1825	5	25	baghdad	baghdad	PROPN
iajs-1825	5	26	,	,	PUNCT
iajs-1825	5	27	iraq	iraq	PROPN
iajs-1825	5	28	.	.	PUNCT
iajs-1825	6	1	article	article	NOUN
iajs-1825	6	2	history	history	NOUN
iajs-1825	6	3	:	:	PUNCT
iajs-1825	6	4	received	receive	VERB
iajs-1825	6	5	2	2	NUM
iajs-1825	6	6	may	may	PROPN
iajs-1825	6	7	2018	2018	NUM
iajs-1825	6	8	,	,	PUNCT
iajs-1825	6	9	accepted	accept	VERB
iajs-1825	6	10	26	26	NUM
iajs-1825	6	11	september	september	PROPN
iajs-1825	6	12	2018	2018	NUM
iajs-1825	6	13	,	,	PUNCT
iajs-1825	6	14	publish	publish	VERB
iajs-1825	6	15	january	january	PROPN
iajs-1825	6	16	2019	2019	NUM
iajs-1825	6	17	abstract	abstract	ADV
iajs-1825	6	18	this	this	DET
iajs-1825	6	19	paper	paper	NOUN
iajs-1825	6	20	concerns	concern	NOUN
iajs-1825	6	21	with	with	ADP
iajs-1825	6	22	deriving	deriving	NOUN
iajs-1825	6	23	and	and	CCONJ
iajs-1825	6	24	estimating	estimate	VERB
iajs-1825	6	25	the	the	DET
iajs-1825	6	26	reliability	reliability	NOUN
iajs-1825	6	27	of	of	ADP
iajs-1825	6	28	the	the	DET
iajs-1825	6	29	multicomponent	multicomponent	NOUN
iajs-1825	6	30	system	system	NOUN
iajs-1825	6	31	in	in	ADP
iajs-1825	6	32	stress	stress	NOUN
iajs-1825	6	33	-	-	PUNCT
iajs-1825	6	34	strength	strength	NOUN
iajs-1825	6	35	model	model	NOUN
iajs-1825	6	36	r(s	r(s	PROPN
iajs-1825	6	37	,	,	PUNCT
iajs-1825	6	38	k	k	NOUN
iajs-1825	6	39	)	)	PUNCT
iajs-1825	6	40	,	,	PUNCT
iajs-1825	6	41	when	when	SCONJ
iajs-1825	6	42	the	the	DET
iajs-1825	6	43	stress	stress	NOUN
iajs-1825	6	44	and	and	CCONJ
iajs-1825	6	45	strength	strength	NOUN
iajs-1825	6	46	are	be	AUX
iajs-1825	6	47	identical	identical	ADJ
iajs-1825	6	48	independent	independent	ADJ
iajs-1825	6	49	distribution	distribution	NOUN
iajs-1825	6	50	(	(	PUNCT
iajs-1825	6	51	iid	iid	NOUN
iajs-1825	6	52	)	)	PUNCT
iajs-1825	6	53	,	,	PUNCT
iajs-1825	6	54	follows	follow	VERB
iajs-1825	6	55	two	two	NUM
iajs-1825	6	56	parameters	parameter	NOUN
iajs-1825	6	57	exponentiated	exponentiate	VERB
iajs-1825	6	58	pareto	pareto	ADJ
iajs-1825	6	59	distribution	distribution	NOUN
iajs-1825	6	60	(	(	PUNCT
iajs-1825	6	61	epd	epd	PROPN
iajs-1825	6	62	)	)	PUNCT
iajs-1825	6	63	with	with	ADP
iajs-1825	6	64	the	the	DET
iajs-1825	6	65	unknown	unknown	ADJ
iajs-1825	6	66	shape	shape	NOUN
iajs-1825	6	67	and	and	CCONJ
iajs-1825	6	68	known	know	VERB
iajs-1825	6	69	scale	scale	NOUN
iajs-1825	6	70	parameters	parameter	NOUN
iajs-1825	6	71	.	.	PUNCT
iajs-1825	7	1	shrinkage	shrinkage	NOUN
iajs-1825	7	2	estimation	estimation	NOUN
iajs-1825	7	3	method	method	NOUN
iajs-1825	7	4	including	include	VERB
iajs-1825	7	5	maximum	maximum	ADJ
iajs-1825	7	6	likelihood	likelihood	NOUN
iajs-1825	7	7	estimator	estimator	NOUN
iajs-1825	7	8	(	(	PUNCT
iajs-1825	7	9	mle	mle	PROPN
iajs-1825	7	10	)	)	PUNCT
iajs-1825	7	11	,	,	PUNCT
iajs-1825	7	12	has	have	AUX
iajs-1825	7	13	been	be	AUX
iajs-1825	7	14	considered	consider	VERB
iajs-1825	7	15	.	.	PUNCT
iajs-1825	8	1	comparisons	comparison	NOUN
iajs-1825	8	2	among	among	ADP
iajs-1825	8	3	the	the	DET
iajs-1825	8	4	proposed	propose	VERB
iajs-1825	8	5	estimators	estimator	NOUN
iajs-1825	8	6	were	be	AUX
iajs-1825	8	7	made	make	VERB
iajs-1825	8	8	depending	depend	VERB
iajs-1825	8	9	on	on	ADP
iajs-1825	8	10	simulation	simulation	NOUN
iajs-1825	8	11	based	base	VERB
iajs-1825	8	12	on	on	ADP
iajs-1825	8	13	mean	mean	ADJ
iajs-1825	8	14	squared	square	VERB
iajs-1825	8	15	error	error	NOUN
iajs-1825	8	16	(	(	PUNCT
iajs-1825	8	17	mse	mse	NOUN
iajs-1825	8	18	)	)	PUNCT
iajs-1825	8	19	criteria	criterion	NOUN
iajs-1825	8	20	.	.	PUNCT
iajs-1825	9	1	keywords	keyword	NOUN
iajs-1825	9	2	:	:	PUNCT
iajs-1825	9	3	exponentiated	exponentiate	VERB
iajs-1825	9	4	pareto	pareto	ADJ
iajs-1825	9	5	distribution(epd	distribution(epd	NOUN
iajs-1825	9	6	)	)	PUNCT
iajs-1825	9	7	,	,	PUNCT
iajs-1825	9	8	reliability	reliability	NOUN
iajs-1825	9	9	of	of	ADP
iajs-1825	9	10	multi	multi	ADJ
iajs-1825	9	11	-	-	ADJ
iajs-1825	9	12	component	component	ADJ
iajs-1825	9	13	stress	stress	NOUN
iajs-1825	9	14	–	–	PUNCT
iajs-1825	9	15	strength	strength	NOUN
iajs-1825	9	16	models	model	NOUN
iajs-1825	9	17	r(s	r(s	PROPN
iajs-1825	9	18	,	,	PUNCT
iajs-1825	9	19	k	k	NOUN
iajs-1825	9	20	)	)	PUNCT
iajs-1825	9	21	,	,	PUNCT
iajs-1825	9	22	maximum	maximum	ADJ
iajs-1825	9	23	likelihood	likelihood	NOUN
iajs-1825	9	24	estimator	estimator	NOUN
iajs-1825	9	25	(	(	PUNCT
iajs-1825	9	26	mle	mle	PROPN
iajs-1825	9	27	)	)	PUNCT
iajs-1825	9	28	,	,	PUNCT
iajs-1825	9	29	shrinkage	shrinkage	NOUN
iajs-1825	9	30	estimator	estimator	NOUN
iajs-1825	9	31	and	and	CCONJ
iajs-1825	9	32	mean	mean	VERB
iajs-1825	9	33	squared	square	VERB
iajs-1825	9	34	error	error	NOUN
iajs-1825	9	35	(	(	PUNCT
iajs-1825	9	36	mse	mse	NOUN
iajs-1825	9	37	)	)	PUNCT
iajs-1825	9	38	.	.	PUNCT
iajs-1825	10	1	1	1	X
iajs-1825	10	2	.	.	X
iajs-1825	10	3	introduction	introduction	NOUN
iajs-1825	10	4	the	the	DET
iajs-1825	10	5	reliability	reliability	NOUN
iajs-1825	10	6	of	of	ADP
iajs-1825	10	7	the	the	DET
iajs-1825	10	8	multicomponent	multicomponent	NOUN
iajs-1825	10	9	stress	stress	NOUN
iajs-1825	10	10	-	-	PUNCT
iajs-1825	10	11	strength	strength	NOUN
iajs-1825	10	12	model	model	NOUN
iajs-1825	10	13	(	(	PUNCT
iajs-1825	10	14	s	s	VERB
iajs-1825	10	15	out	out	ADP
iajs-1825	10	16	of	of	ADP
iajs-1825	10	17	k	k	NOUN
iajs-1825	10	18	)	)	PUNCT
iajs-1825	10	19	system	system	NOUN
iajs-1825	10	20	,	,	PUNCT
iajs-1825	10	21	denoted	denote	VERB
iajs-1825	10	22	by	by	ADP
iajs-1825	10	23	r(s	r(s	PROPN
iajs-1825	10	24	,	,	PUNCT
iajs-1825	10	25	k)refers	k)refer	NOUN
iajs-1825	10	26	to	to	ADP
iajs-1825	10	27	the	the	DET
iajs-1825	10	28	system	system	NOUN
iajs-1825	10	29	functioning	function	VERB
iajs-1825	10	30	when	when	SCONJ
iajs-1825	10	31	at	at	ADP
iajs-1825	10	32	minimums	minimum	NOUN
iajs-1825	10	33	(	(	PUNCT
iajs-1825	10	34	1≤s≤k	1≤s≤k	NUM
iajs-1825	10	35	)	)	PUNCT
iajs-1825	10	36	of	of	ADP
iajs-1825	10	37	components	component	NOUN
iajs-1825	10	38	survive	survive	VERB
iajs-1825	10	39	.	.	PUNCT
iajs-1825	11	1	in	in	ADP
iajs-1825	11	2	other	other	ADJ
iajs-1825	11	3	words	word	NOUN
iajs-1825	11	4	,	,	PUNCT
iajs-1825	11	5	this	this	DET
iajs-1825	11	6	system	system	NOUN
iajs-1825	11	7	works	work	VERB
iajs-1825	11	8	well	well	ADV
iajs-1825	11	9	if	if	SCONJ
iajs-1825	11	10	at	at	ADV
iajs-1825	11	11	least	least	ADJ
iajs-1825	11	12	s	s	VERB
iajs-1825	11	13	out	out	ADP
iajs-1825	11	14	of	of	ADP
iajs-1825	11	15	k	k	PROPN
iajs-1825	11	16	components	component	NOUN
iajs-1825	11	17	resist	resist	VERB
iajs-1825	11	18	the	the	DET
iajs-1825	11	19	stress	stress	NOUN
iajs-1825	11	20	.	.	PUNCT
iajs-1825	12	1	bhattacharyya	bhattacharyya	PROPN
iajs-1825	12	2	and	and	CCONJ
iajs-1825	12	3	johnson	johnson	PROPN
iajs-1825	12	4	in	in	ADP
iajs-1825	12	5	(	(	PUNCT
iajs-1825	12	6	1974	1974	NUM
iajs-1825	12	7	)	)	PUNCT
iajs-1825	12	8	was	be	AUX
iajs-1825	12	9	the	the	DET
iajs-1825	12	10	first	first	ADJ
iajs-1825	12	11	who	who	PRON
iajs-1825	12	12	studied	study	VERB
iajs-1825	12	13	and	and	CCONJ
iajs-1825	12	14	derived	derive	VERB
iajs-1825	12	15	r(s	r(s	PROPN
iajs-1825	12	16	,	,	PUNCT
iajs-1825	12	17	k	k	NOUN
iajs-1825	12	18	)	)	PUNCT
iajs-1825	13	1	[	[	X
iajs-1825	13	2	1	1	NUM
iajs-1825	13	3	]	]	PUNCT
iajs-1825	13	4	.	.	PUNCT
iajs-1825	13	5	noted	note	VERB
iajs-1825	13	6	that	that	SCONJ
iajs-1825	13	7	,	,	PUNCT
iajs-1825	13	8	when	when	SCONJ
iajs-1825	13	9	s=1	s=1	PRON
iajs-1825	13	10	and	and	CCONJ
iajs-1825	13	11	s	s	PROPN
iajs-1825	13	12	=	=	X
iajs-1825	13	13	k	k	PROPN
iajs-1825	13	14	is	be	AUX
iajs-1825	13	15	respectively	respectively	ADV
iajs-1825	13	16	referring	refer	VERB
iajs-1825	13	17	to	to	ADP
iajs-1825	13	18	parallel	parallel	ADJ
iajs-1825	13	19	and	and	CCONJ
iajs-1825	13	20	series	series	NOUN
iajs-1825	13	21	systems	system	NOUN
iajs-1825	13	22	.	.	PUNCT
iajs-1825	14	1	the	the	DET
iajs-1825	14	2	model	model	NOUN
iajs-1825	14	3	mentioned	mention	VERB
iajs-1825	14	4	used	use	VERB
iajs-1825	14	5	in	in	ADP
iajs-1825	14	6	many	many	ADJ
iajs-1825	14	7	applications	application	NOUN
iajs-1825	14	8	in	in	ADP
iajs-1825	14	9	physics	physics	NOUN
iajs-1825	14	10	and	and	CCONJ
iajs-1825	14	11	engineering	engineering	NOUN
iajs-1825	14	12	and	and	CCONJ
iajs-1825	14	13	many	many	ADJ
iajs-1825	14	14	authors	author	NOUN
iajs-1825	14	15	had	have	AUX
iajs-1825	14	16	studied	study	VERB
iajs-1825	14	17	and	and	CCONJ
iajs-1825	14	18	estimated	estimate	VERB
iajs-1825	14	19	r(s	r(s	PROPN
iajs-1825	14	20	,	,	PUNCT
iajs-1825	14	21	k)for	k)for	PROPN
iajs-1825	14	22	example	example	NOUN
iajs-1825	14	23	:	:	PUNCT
iajs-1825	14	24	afify	afify	VERB
iajs-1825	14	25	in	in	ADP
iajs-1825	14	26	(	(	PUNCT
iajs-1825	14	27	2010	2010	NUM
iajs-1825	14	28	)	)	PUNCT
iajs-1825	14	29	,	,	PUNCT
iajs-1825	14	30	showed	show	VERB
iajs-1825	14	31	that	that	SCONJ
iajs-1825	14	32	the	the	DET
iajs-1825	14	33	exponentiated	exponentiated	ADJ
iajs-1825	14	34	pareto	pareto	ADJ
iajs-1825	14	35	distribution	distribution	NOUN
iajs-1825	14	36	denoted	denote	VERB
iajs-1825	14	37	by	by	ADP
iajs-1825	14	38	ep	ep	PROPN
iajs-1825	14	39	(	(	PUNCT
iajs-1825	14	40	α	α	NOUN
iajs-1825	14	41	,	,	PUNCT
iajs-1825	14	42	λ	λ	NOUN
iajs-1825	14	43	)	)	PUNCT
iajs-1825	14	44	used	use	VERB
iajs-1825	14	45	quite	quite	ADV
iajs-1825	14	46	successfully	successfully	ADV
iajs-1825	14	47	in	in	ADP
iajs-1825	14	48	studying	study	VERB
iajs-1825	14	49	many	many	ADJ
iajs-1825	14	50	lifetime	lifetime	NOUN
iajs-1825	14	51	data	datum	NOUN
iajs-1825	14	52	and	and	CCONJ
iajs-1825	14	53	the	the	DET
iajs-1825	14	54	ep	ep	PROPN
iajs-1825	14	55	(	(	PUNCT
iajs-1825	14	56	𝛼	𝛼	PROPN
iajs-1825	14	57	,	,	PUNCT
iajs-1825	14	58	λ	λ	NOUN
iajs-1825	14	59	)	)	PUNCT
iajs-1825	14	60	decreasing	decrease	VERB
iajs-1825	14	61	and	and	CCONJ
iajs-1825	14	62	upside	upside	ADV
iajs-1825	14	63	-	-	PUNCT
iajs-1825	14	64	down	down	ADP
iajs-1825	14	65	bathtub	bathtub	NOUN
iajs-1825	14	66	shaped	shape	VERB
iajs-1825	14	67	failure	failure	NOUN
iajs-1825	14	68	rates	rate	NOUN
iajs-1825	14	69	depending	depend	VERB
iajs-1825	14	70	on	on	ADP
iajs-1825	14	71	shape	shape	NOUN
iajs-1825	14	72	parameter	parameter	NOUN
iajs-1825	14	73	α[2	α[2	PROPN
iajs-1825	14	74	]	]	PUNCT
iajs-1825	14	75	.	.	PUNCT
iajs-1825	15	1	hassan	hassan	PROPN
iajs-1825	15	2	&	&	CCONJ
iajs-1825	15	3	basheikh	basheikh	PROPN
iajs-1825	15	4	in	in	ADP
iajs-1825	15	5	(	(	PUNCT
iajs-1825	15	6	2012	2012	NUM
iajs-1825	15	7	)	)	PUNCT
iajs-1825	15	8	,	,	PUNCT
iajs-1825	15	9	estimated	estimate	VERB
iajs-1825	15	10	𝑅	𝑅	PROPN
iajs-1825	15	11	,	,	PUNCT
iajs-1825	15	12	using	use	VERB
iajs-1825	15	13	bayes	bayes	PROPN
iajs-1825	15	14	and	and	CCONJ
iajs-1825	15	15	non	non	ADJ
iajs-1825	15	16	-	-	ADJ
iajs-1825	15	17	bayes	bayes	ADJ
iajs-1825	15	18	estimation	estimation	NOUN
iajs-1825	15	19	methods	method	NOUN
iajs-1825	15	20	when	when	SCONJ
iajs-1825	15	21	the	the	DET
iajs-1825	15	22	strength	strength	NOUN
iajs-1825	15	23	and	and	CCONJ
iajs-1825	15	24	stress	stress	NOUN
iajs-1825	15	25	are	be	AUX
iajs-1825	15	26	non	non	ADJ
iajs-1825	15	27	-	-	ADJ
iajs-1825	15	28	identical	identical	ADJ
iajs-1825	15	29	and	and	CCONJ
iajs-1825	15	30	follows	follow	VERB
iajs-1825	15	31	the	the	DET
iajs-1825	15	32	exponentiated	exponentiated	ADJ
iajs-1825	15	33	pareto	pareto	ADJ
iajs-1825	15	34	distribution	distribution	NOUN
iajs-1825	15	35	[	[	X
iajs-1825	15	36	3	3	NUM
iajs-1825	15	37	]	]	PUNCT
iajs-1825	15	38	,	,	PUNCT
iajs-1825	15	39	rao	rao	PROPN
iajs-1825	15	40	et	et	PROPN
iajs-1825	15	41	al	al	PROPN
iajs-1825	15	42	in	in	ADP
iajs-1825	15	43	(	(	PUNCT
iajs-1825	15	44	2016	2016	NUM
iajs-1825	15	45	)	)	PUNCT
iajs-1825	15	46	,	,	PUNCT
iajs-1825	15	47	estimated	estimate	VERB
iajs-1825	15	48	the	the	DET
iajs-1825	15	49	reliability	reliability	NOUN
iajs-1825	15	50	system	system	NOUN
iajs-1825	15	51	in	in	ADP
iajs-1825	15	52	a	a	DET
iajs-1825	15	53	multicomponent	multicomponent	NOUN
iajs-1825	15	54	stress	stress	NOUN
iajs-1825	15	55	-	-	PUNCT
iajs-1825	15	56	strength	strength	NOUN
iajs-1825	15	57	when	when	SCONJ
iajs-1825	15	58	stress	stress	NOUN
iajs-1825	15	59	and	and	CCONJ
iajs-1825	15	60	strength	strength	NOUN
iajs-1825	15	61	follows	follow	VERB
iajs-1825	15	62	exponentiated	exponentiate	VERB
iajs-1825	15	63	weibull	weibull	NOUN
iajs-1825	15	64	distribution	distribution	NOUN
iajs-1825	15	65	for	for	ADP
iajs-1825	15	66	different	different	ADJ
iajs-1825	15	67	shape	shape	NOUN
iajs-1825	15	68	parameters	parameter	NOUN
iajs-1825	15	69	[	[	X
iajs-1825	15	70	4	4	NUM
iajs-1825	15	71	]	]	PUNCT
iajs-1825	15	72	,	,	PUNCT
iajs-1825	15	73	and	and	CCONJ
iajs-1825	15	74	in	in	ADP
iajs-1825	15	75	(	(	PUNCT
iajs-1825	15	76	2017	2017	NUM
iajs-1825	15	77	)	)	PUNCT
iajs-1825	15	78	abbas	abbas	PROPN
iajs-1825	15	79	and	and	CCONJ
iajs-1825	15	80	fatima	fatima	PROPN
iajs-1825	15	81	,	,	PUNCT
iajs-1825	15	82	they	they	PRON
iajs-1825	15	83	estimated	estimate	VERB
iajs-1825	15	84	the	the	DET
iajs-1825	15	85	reliability	reliability	NOUN
iajs-1825	15	86	of	of	ADP
iajs-1825	15	87	the	the	DET
iajs-1825	15	88	multicomponent	multicomponent	NOUN
iajs-1825	15	89	system	system	NOUN
iajs-1825	15	90	in	in	ADP
iajs-1825	15	91	stress	stress	NOUN
iajs-1825	15	92	–	–	PUNCT
iajs-1825	15	93	strength	strength	NOUN
iajs-1825	15	94	model	model	NOUN
iajs-1825	15	95	for	for	ADP
iajs-1825	15	96	exponentiated	exponentiate	VERB
iajs-1825	15	97	weibull	weibull	NOUN
iajs-1825	15	98	distribution	distribution	NOUN
iajs-1825	15	99	,	,	PUNCT
iajs-1825	15	100	using	use	VERB
iajs-1825	15	101	;	;	PUNCT
iajs-1825	15	102	ml	ml	X
iajs-1825	15	103	,	,	PUNCT
iajs-1825	15	104	    	    	SPACE
iajs-1825	15	105	148	148	NUM
iajs-1825	15	106	ibn	ibn	PROPN
iajs-1825	15	107	al	al	PROPN
iajs-1825	15	108	-	-	PUNCT
iajs-1825	15	109	haitham	haitham	PROPN
iajs-1825	15	110	jour	jour	X
iajs-1825	15	111	.	.	PROPN
iajs-1825	16	1	for	for	ADP
iajs-1825	16	2	pure	pure	ADJ
iajs-1825	16	3	&	&	CCONJ
iajs-1825	16	4	appl.sci	appl.sci	PROPN
iajs-1825	16	5	.	.	PUNCT
iajs-1825	17	1	ihjpas	ihjpas	PROPN
iajs-1825	17	2	 	 	SPACE
iajs-1825	17	3	https://doi.org/10.30526/32.1.1825	https://doi.org/10.30526/32.1.1825	PROPN
iajs-1825	17	4	vol	vol	NOUN
iajs-1825	17	5	.	.	PUNCT
iajs-1825	18	1	32	32	NUM
iajs-1825	18	2	(	(	PUNCT
iajs-1825	18	3	1	1	NUM
iajs-1825	18	4	)	)	PUNCT
iajs-1825	18	5	2019	2019	NUM
iajs-1825	18	6	mom	mom	NOUN
iajs-1825	18	7	and	and	CCONJ
iajs-1825	18	8	the	the	DET
iajs-1825	18	9	conclude	conclude	NOUN
iajs-1825	18	10	results	result	NOUN
iajs-1825	18	11	approved	approve	VERB
iajs-1825	18	12	that	that	SCONJ
iajs-1825	18	13	the	the	DET
iajs-1825	18	14	shrinkage	shrinkage	NOUN
iajs-1825	18	15	estimator	estimator	NOUN
iajs-1825	18	16	using	use	VERB
iajs-1825	18	17	shrinkage	shrinkage	NOUN
iajs-1825	18	18	weight	weight	NOUN
iajs-1825	18	19	function	function	NOUN
iajs-1825	18	20	was	be	AUX
iajs-1825	18	21	the	the	DET
iajs-1825	18	22	best[5	best[5	PROPN
iajs-1825	18	23	]	]	X
iajs-1825	18	24	.	.	PUNCT
iajs-1825	19	1	in	in	ADP
iajs-1825	19	2	this	this	DET
iajs-1825	19	3	paper	paper	NOUN
iajs-1825	19	4	we	we	PRON
iajs-1825	19	5	estimate	estimate	VERB
iajs-1825	19	6	r(s	r(s	PROPN
iajs-1825	19	7	,	,	PUNCT
iajs-1825	19	8	k	k	NOUN
iajs-1825	19	9	)	)	PUNCT
iajs-1825	19	10	based	base	VERB
iajs-1825	19	11	on	on	ADP
iajs-1825	19	12	exponentiated	exponentiate	VERB
iajs-1825	19	13	pareto	pareto	ADJ
iajs-1825	19	14	distribution	distribution	NOUN
iajs-1825	19	15	ep(α	ep(α	PRON
iajs-1825	19	16	,	,	PUNCT
iajs-1825	19	17	λ	λ	NOUN
iajs-1825	19	18	)	)	PUNCT
iajs-1825	19	19	with	with	ADP
iajs-1825	19	20	unknown	unknown	ADJ
iajs-1825	19	21	shape	shape	NOUN
iajs-1825	19	22	parameter	parameter	NOUN
iajs-1825	19	23	α	α	PROPN
iajs-1825	19	24	and	and	CCONJ
iajs-1825	19	25	known	know	VERB
iajs-1825	19	26	scale	scale	NOUN
iajs-1825	19	27	parameter	parameter	NOUN
iajs-1825	19	28	λ	λ	NOUN
iajs-1825	19	29	using	use	VERB
iajs-1825	19	30	several	several	ADJ
iajs-1825	19	31	shrinkage	shrinkage	NOUN
iajs-1825	19	32	estimation	estimation	NOUN
iajs-1825	19	33	methods	method	NOUN
iajs-1825	19	34	depends	depend	VERB
iajs-1825	19	35	on	on	ADP
iajs-1825	19	36	(	(	PUNCT
iajs-1825	19	37	mle	mle	NOUN
iajs-1825	19	38	)	)	PUNCT
iajs-1825	19	39	methods	method	NOUN
iajs-1825	19	40	and	and	CCONJ
iajs-1825	19	41	make	make	VERB
iajs-1825	19	42	a	a	DET
iajs-1825	19	43	comparison	comparison	NOUN
iajs-1825	19	44	of	of	ADP
iajs-1825	19	45	the	the	DET
iajs-1825	19	46	considered	consider	VERB
iajs-1825	19	47	estimation	estimation	NOUN
iajs-1825	19	48	methods	method	NOUN
iajs-1825	19	49	through	through	ADP
iajs-1825	19	50	monte	monte	PROPN
iajs-1825	19	51	carlo	carlo	PROPN
iajs-1825	19	52	simulation	simulation	PROPN
iajs-1825	19	53	via	via	ADP
iajs-1825	19	54	mean	mean	ADJ
iajs-1825	19	55	squared	square	VERB
iajs-1825	19	56	error	error	NOUN
iajs-1825	19	57	(	(	PUNCT
iajs-1825	19	58	mse	mse	NOUN
iajs-1825	19	59	)	)	PUNCT
iajs-1825	19	60	criteria	criterion	NOUN
iajs-1825	19	61	.	.	PUNCT
iajs-1825	20	1	it	it	PRON
iajs-1825	20	2	is	be	AUX
iajs-1825	20	3	well	well	ADV
iajs-1825	20	4	known	know	VERB
iajs-1825	20	5	,	,	PUNCT
iajs-1825	20	6	the	the	DET
iajs-1825	20	7	ep	ep	PROPN
iajs-1825	20	8	(	(	PUNCT
iajs-1825	20	9	α	α	NOUN
iajs-1825	20	10	,	,	PUNCT
iajs-1825	20	11	λ	λ	NOUN
iajs-1825	20	12	)	)	PUNCT
iajs-1825	20	13	is	be	AUX
iajs-1825	20	14	a	a	DET
iajs-1825	20	15	special	special	ADJ
iajs-1825	20	16	case	case	NOUN
iajs-1825	20	17	of	of	ADP
iajs-1825	20	18	exponentiated	exponentiated	ADJ
iajs-1825	20	19	lomax	lomax	PROPN
iajs-1825	20	20	distribution	distribution	NOUN
iajs-1825	20	21	(	(	PUNCT
iajs-1825	20	22	eld	eld	NOUN
iajs-1825	20	23	)	)	PUNCT
iajs-1825	20	24	,	,	PUNCT
iajs-1825	20	25	when	when	SCONJ
iajs-1825	20	26	(	(	PUNCT
iajs-1825	20	27	𝜖	𝜖	X
iajs-1825	20	28	1	1	NUM
iajs-1825	20	29	where	where	SCONJ
iajs-1825	20	30	the	the	DET
iajs-1825	20	31	cdf	cdf	PROPN
iajs-1825	20	32	of	of	ADP
iajs-1825	20	33	eld	eld	PROPN
iajs-1825	20	34	has	have	VERB
iajs-1825	20	35	the	the	DET
iajs-1825	20	36	form	form	NOUN
iajs-1825	20	37	below	below	ADP
iajs-1825	20	38	[	[	X
iajs-1825	20	39	6	6	NUM
iajs-1825	20	40	]	]	PUNCT
iajs-1825	20	41	.	.	PUNCT
iajs-1825	21	1	𝐹	𝐹	PROPN
iajs-1825	21	2	𝑋	𝑋	NOUN
iajs-1825	21	3	1	1	NUM
iajs-1825	21	4	1	1	NUM
iajs-1825	21	5	𝜖𝑥	𝜖𝑥	ADP
iajs-1825	21	6	𝑥	𝑥	PROPN
iajs-1825	21	7	0	0	NUM
iajs-1825	21	8	;	;	PUNCT
iajs-1825	21	9	𝛼	𝛼	X
iajs-1825	21	10	,	,	PUNCT
iajs-1825	21	11	𝜆𝑎𝑛𝑑	𝜆𝑎𝑛𝑑	NOUN
iajs-1825	21	12	𝜖	𝜖	X
iajs-1825	21	13	0	0	PUNCT
iajs-1825	21	14	(	(	PUNCT
iajs-1825	21	15	1	1	X
iajs-1825	21	16	)	)	PUNCT
iajs-1825	21	17	let	let	VERB
iajs-1825	21	18	x	x	PRON
iajs-1825	21	19	be	be	AUX
iajs-1825	21	20	a	a	DET
iajs-1825	21	21	random	random	ADJ
iajs-1825	21	22	variable	variable	NOUN
iajs-1825	21	23	follows	follow	VERB
iajs-1825	21	24	two	two	NUM
iajs-1825	21	25	parameters	parameter	NOUN
iajs-1825	21	26	exponentiated	exponentiate	VERB
iajs-1825	21	27	pareto	pareto	ADJ
iajs-1825	21	28	distribution	distribution	NOUN
iajs-1825	21	29	epd	epd	PROPN
iajs-1825	21	30	(	(	PUNCT
iajs-1825	21	31	α	α	NOUN
iajs-1825	21	32	,	,	PUNCT
iajs-1825	21	33	λ	λ	NOUN
iajs-1825	21	34	)	)	PUNCT
iajs-1825	21	35	.	.	PUNCT
iajs-1825	22	1	the	the	DET
iajs-1825	22	2	probability	probability	NOUN
iajs-1825	22	3	density	density	NOUN
iajs-1825	22	4	function	function	NOUN
iajs-1825	22	5	(	(	PUNCT
iajs-1825	22	6	p.	p.	PROPN
iajs-1825	22	7	d.	d.	PROPN
iajs-1825	22	8	f.	f.	PROPN
iajs-1825	22	9	)	)	PUNCT
iajs-1825	22	10	of	of	ADP
iajs-1825	22	11	x	x	PRON
iajs-1825	22	12	will	will	AUX
iajs-1825	22	13	be	be	AUX
iajs-1825	22	14	.	.	PUNCT
iajs-1825	23	1	𝑓	𝑓	PRON
iajs-1825	23	2	𝑥	𝑥	NOUN
iajs-1825	23	3	;	;	PUNCT
iajs-1825	23	4	𝛼	𝛼	X
iajs-1825	23	5	,	,	PUNCT
iajs-1825	23	6	𝜆	𝜆	PROPN
iajs-1825	23	7	𝛼𝜆	𝛼𝜆	SYM
iajs-1825	23	8	1	1	NUM
iajs-1825	23	9	𝑥	𝑥	NOUN
iajs-1825	23	10	1	1	NUM
iajs-1825	23	11	1	1	NUM
iajs-1825	23	12	𝑥	𝑥	NOUN
iajs-1825	23	13	;	;	PUNCT
iajs-1825	23	14	for	for	ADP
iajs-1825	23	15	x	x	X
iajs-1825	23	16	0	0	NUM
iajs-1825	23	17	;	;	PUNCT
iajs-1825	23	18	𝛼	𝛼	X
iajs-1825	23	19	,	,	PUNCT
iajs-1825	23	20	𝜆	𝜆	PRON
iajs-1825	23	21	0	0	NUM
iajs-1825	23	22	0	0	NUM
iajs-1825	23	23	𝑜𝑡ℎ𝑒𝑟𝑤𝑖𝑠𝑒	𝑜𝑡ℎ𝑒𝑟𝑤𝑖𝑠𝑒	NOUN
iajs-1825	23	24	(	(	PUNCT
iajs-1825	23	25	2	2	NUM
iajs-1825	23	26	)	)	PUNCT
iajs-1825	23	27	here	here	ADV
iajs-1825	23	28	,	,	PUNCT
iajs-1825	23	29	𝛼	𝛼	PROPN
iajs-1825	23	30	refers	refer	VERB
iajs-1825	23	31	to	to	PART
iajs-1825	23	32	shape	shape	VERB
iajs-1825	23	33	parameter	parameter	NOUN
iajs-1825	23	34	and	and	CCONJ
iajs-1825	23	35	𝜆	𝜆	NOUN
iajs-1825	23	36	refers	refer	NOUN
iajs-1825	23	37	to	to	PART
iajs-1825	23	38	scale	scale	VERB
iajs-1825	23	39	parameter	parameter	NOUN
iajs-1825	23	40	[	[	X
iajs-1825	23	41	2	2	NUM
iajs-1825	23	42	]	]	PUNCT
iajs-1825	23	43	.	.	PUNCT
iajs-1825	24	1	implies	imply	VERB
iajs-1825	24	2	,	,	PUNCT
iajs-1825	24	3	the	the	DET
iajs-1825	24	4	cumulative	cumulative	ADJ
iajs-1825	24	5	distribution	distribution	NOUN
iajs-1825	24	6	function	function	NOUN
iajs-1825	24	7	(	(	PUNCT
iajs-1825	24	8	cdf	cdf	PROPN
iajs-1825	24	9	)	)	PUNCT
iajs-1825	24	10	of	of	ADP
iajs-1825	24	11	x	x	INTJ
iajs-1825	24	12	as	as	ADP
iajs-1825	24	13	below	below	ADV
iajs-1825	24	14	:	:	PUNCT
iajs-1825	24	15	𝐹	𝐹	PROPN
iajs-1825	24	16	𝑥	𝑥	NOUN
iajs-1825	24	17	,	,	PUNCT
iajs-1825	24	18	𝛼	𝛼	PROPN
iajs-1825	24	19	,	,	PUNCT
iajs-1825	24	20	𝜆	𝜆	PRON
iajs-1825	24	21	1	1	NUM
iajs-1825	24	22	1	1	NUM
iajs-1825	24	23	𝑥	𝑥	PRON
iajs-1825	24	24	𝑥	𝑥	NOUN
iajs-1825	24	25	0	0	NUM
iajs-1825	24	26	;	;	PUNCT
iajs-1825	24	27	𝛼	𝛼	X
iajs-1825	24	28	,	,	PUNCT
iajs-1825	24	29	𝜆	𝜆	PRON
iajs-1825	24	30	0	0	NUM
iajs-1825	24	31	(	(	PUNCT
iajs-1825	24	32	3	3	NUM
iajs-1825	24	33	)	)	PUNCT
iajs-1825	24	34	assume	assume	VERB
iajs-1825	24	35	𝑋	𝑋	NOUN
iajs-1825	24	36	,	,	PUNCT
iajs-1825	24	37	𝑋	𝑋	NOUN
iajs-1825	24	38	,	,	PUNCT
iajs-1825	24	39	…	…	PUNCT
iajs-1825	24	40	,	,	PUNCT
iajs-1825	24	41	𝑋	𝑋	PROPN
iajs-1825	24	42	are	be	AUX
iajs-1825	24	43	strength	strength	NOUN
iajs-1825	24	44	random	random	ADJ
iajs-1825	24	45	variable	variable	NOUN
iajs-1825	24	46	follows	follow	VERB
iajs-1825	24	47	ep(α	ep(α	NOUN
iajs-1825	24	48	,	,	PUNCT
iajs-1825	24	49	λ	λ	NOUN
iajs-1825	24	50	)	)	PUNCT
iajs-1825	24	51	and	and	CCONJ
iajs-1825	24	52	subject	subject	ADJ
iajs-1825	24	53	to	to	ADP
iajs-1825	24	54	common	common	ADJ
iajs-1825	24	55	stress	stress	NOUN
iajs-1825	24	56	random	random	ADJ
iajs-1825	24	57	variable	variable	NOUN
iajs-1825	24	58	y	y	PROPN
iajs-1825	24	59	which	which	PRON
iajs-1825	24	60	is	be	AUX
iajs-1825	24	61	distributed	distribute	VERB
iajs-1825	24	62	as	as	ADP
iajs-1825	24	63	ep(β	ep(β	NOUN
iajs-1825	24	64	,	,	PUNCT
iajs-1825	24	65	λ	λ	NOUN
iajs-1825	24	66	)	)	PUNCT
iajs-1825	24	67	.	.	PUNCT
iajs-1825	25	1	then	then	ADV
iajs-1825	25	2	,	,	PUNCT
iajs-1825	25	3	the	the	DET
iajs-1825	25	4	reliability	reliability	NOUN
iajs-1825	25	5	system	system	NOUN
iajs-1825	25	6	for	for	ADP
iajs-1825	25	7	a	a	DET
iajs-1825	25	8	multicomponent	multicomponent	NOUN
iajs-1825	25	9	in	in	ADP
iajs-1825	25	10	stress	stress	NOUN
iajs-1825	25	11	-	-	PUNCT
iajs-1825	25	12	strength	strength	NOUN
iajs-1825	25	13	model	model	NOUN
iajs-1825	25	14	r(s	r(s	PROPN
iajs-1825	25	15	,	,	PUNCT
iajs-1825	25	16	k	k	NOUN
iajs-1825	25	17	)	)	PUNCT
iajs-1825	25	18	will	will	AUX
iajs-1825	25	19	be	be	AUX
iajs-1825	25	20	[	[	X
iajs-1825	25	21	1	1	NUM
iajs-1825	25	22	]	]	X
iajs-1825	25	23	:	:	PUNCT
iajs-1825	25	24	r(s	r(s	NUM
iajs-1825	25	25	,	,	PUNCT
iajs-1825	25	26	k	k	NOUN
iajs-1825	25	27	)	)	PUNCT
iajs-1825	26	1	=	=	NOUN
iajs-1825	26	2	p(at	p(at	NOUN
iajs-1825	26	3	least	least	ADJ
iajs-1825	26	4	s	s	PROPN
iajs-1825	26	5	of	of	ADP
iajs-1825	26	6	the	the	DET
iajs-1825	26	7	x1	x1	PROPN
iajs-1825	26	8	,	,	PUNCT
iajs-1825	26	9	x2	x2	PROPN
iajs-1825	26	10	,	,	PUNCT
iajs-1825	26	11	…	…	PUNCT
iajs-1825	26	12	,	,	PUNCT
iajs-1825	26	13	xkexceed	xkexceed	X
iajs-1825	26	14	y	y	NOUN
iajs-1825	26	15	)	)	PUNCT
iajs-1825	27	1	=	=	NOUN
iajs-1825	27	2	∑	∑	PROPN
iajs-1825	27	3	1	1	NUM
iajs-1825	27	4	𝐹	𝐹	PROPN
iajs-1825	27	5	𝑦	𝑦	PRON
iajs-1825	27	6	𝐹	𝐹	PROPN
iajs-1825	27	7	𝑦	𝑦	NOUN
iajs-1825	27	8	𝑓	𝑓	PRON
iajs-1825	27	9	𝑦	𝑦	NUM
iajs-1825	27	10	𝑑𝑦	𝑑𝑦	ADJ
iajs-1825	27	11	(	(	PUNCT
iajs-1825	27	12	4	4	NUM
iajs-1825	27	13	)	)	PUNCT
iajs-1825	27	14	=	=	NOUN
iajs-1825	27	15	∑	∑	SYM
iajs-1825	27	16	1	1	NUM
iajs-1825	27	17	1	1	NUM
iajs-1825	27	18	1	1	NUM
iajs-1825	27	19	𝑦	𝑦	NUM
iajs-1825	27	20	1	1	NUM
iajs-1825	27	21	1	1	NUM
iajs-1825	27	22	𝑦	𝑦	NOUN
iajs-1825	27	23	𝛽𝜆	𝛽𝜆	ADP
iajs-1825	27	24	1	1	NUM
iajs-1825	27	25	𝑦	𝑦	NUM
iajs-1825	27	26	1	1	NUM
iajs-1825	27	27	1	1	NUM
iajs-1825	27	28	𝑦	𝑦	NUM
iajs-1825	27	29	𝑑𝑦	𝑑𝑦	NOUN
iajs-1825	27	30	r	r	NOUN
iajs-1825	27	31	(	(	PUNCT
iajs-1825	27	32	s	s	PROPN
iajs-1825	27	33	,	,	PUNCT
iajs-1825	27	34	k	k	NOUN
iajs-1825	27	35	)	)	PUNCT
iajs-1825	27	36	=	=	PUNCT
iajs-1825	27	37	∑	∑	PUNCT
iajs-1825	27	38	!	!	PUNCT
iajs-1825	27	39	!	!	PUNCT
iajs-1825	28	1	∏	∏	PROPN
iajs-1825	29	1	𝑘	𝑘	DET
iajs-1825	29	2	𝑗	𝑗	X
iajs-1825	29	3	;	;	PUNCT
iajs-1825	29	4	k	k	X
iajs-1825	29	5	,	,	PUNCT
iajs-1825	29	6	i	i	PRON
iajs-1825	29	7	,	,	PUNCT
iajs-1825	29	8	j	j	PROPN
iajs-1825	29	9	are	be	AUX
iajs-1825	29	10	integers	integer	NOUN
iajs-1825	29	11	(	(	PUNCT
iajs-1825	29	12	5	5	NUM
iajs-1825	29	13	)	)	PUNCT
iajs-1825	29	14	now	now	ADV
iajs-1825	29	15	we	we	PRON
iajs-1825	29	16	estimation	estimation	VERB
iajs-1825	29	17	methods	method	NOUN
iajs-1825	29	18	of	of	ADP
iajs-1825	29	19	r(s	r(s	PROPN
iajs-1825	29	20	,	,	PUNCT
iajs-1825	29	21	k	k	NOUN
iajs-1825	29	22	)	)	PUNCT
iajs-1825	29	23	by	by	ADP
iajs-1825	29	24	the	the	DET
iajs-1825	29	25	following	following	NOUN
iajs-1825	29	26	:	:	PUNCT
iajs-1825	29	27	2	2	X
iajs-1825	29	28	.	.	X
iajs-1825	29	29	maximum	maximum	ADJ
iajs-1825	29	30	likelihood	likelihood	NOUN
iajs-1825	29	31	estimator	estimator	NOUN
iajs-1825	29	32	(	(	PUNCT
iajs-1825	29	33	mle	mle	PROPN
iajs-1825	29	34	)	)	PUNCT
iajs-1825	29	35	suppose	suppose	VERB
iajs-1825	29	36	the	the	DET
iajs-1825	29	37	strength	strength	NOUN
iajs-1825	29	38	random	random	ADJ
iajs-1825	29	39	sample	sample	NOUN
iajs-1825	29	40	be	be	AUX
iajs-1825	29	41	of	of	ADP
iajs-1825	29	42	size	size	NOUN
iajs-1825	29	43	n	n	PRON
iajs-1825	29	44	say	say	VERB
iajs-1825	29	45	𝑥	𝑥	X
iajs-1825	29	46	,	,	PUNCT
iajs-1825	29	47	𝑥	𝑥	X
iajs-1825	29	48	,	,	PUNCT
iajs-1825	29	49	…	…	PUNCT
iajs-1825	29	50	,	,	PUNCT
iajs-1825	29	51	𝑥	𝑥	PROPN
iajs-1825	29	52	follow	follow	VERB
iajs-1825	29	53	epd	epd	PROPN
iajs-1825	29	54	(	(	PUNCT
iajs-1825	29	55	𝛼	𝛼	PROPN
iajs-1825	29	56	,	,	PUNCT
iajs-1825	29	57	𝜆	𝜆	NOUN
iajs-1825	29	58	and	and	CCONJ
iajs-1825	29	59	𝑦	𝑦	NOUN
iajs-1825	29	60	,	,	PUNCT
iajs-1825	29	61	𝑦	𝑦	NOUN
iajs-1825	29	62	,	,	PUNCT
iajs-1825	29	63	…	…	PUNCT
iajs-1825	29	64	…	…	PUNCT
iajs-1825	29	65	,	,	PUNCT
iajs-1825	29	66	𝑦	𝑦	PRON
iajs-1825	29	67	be	be	AUX
iajs-1825	29	68	the	the	DET
iajs-1825	29	69	stress	stress	NOUN
iajs-1825	29	70	random	random	ADJ
iajs-1825	29	71	sample	sample	NOUN
iajs-1825	29	72	of	of	ADP
iajs-1825	29	73	size	size	NOUN
iajs-1825	29	74	m	m	VERB
iajs-1825	29	75	follow	follow	VERB
iajs-1825	29	76	epd	epd	PROPN
iajs-1825	29	77	(	(	PUNCT
iajs-1825	29	78	𝛽	𝛽	PROPN
iajs-1825	29	79	,	,	PUNCT
iajs-1825	29	80	𝜆	𝜆	PRON
iajs-1825	29	81	the	the	DET
iajs-1825	29	82	maximum	maximum	ADJ
iajs-1825	29	83	likelihood	likelihood	NOUN
iajs-1825	29	84	function	function	NOUN
iajs-1825	29	85	for	for	ADP
iajs-1825	29	86	the	the	DET
iajs-1825	29	87	observed	observed	ADJ
iajs-1825	29	88	sample	sample	NOUN
iajs-1825	29	89	is	be	AUX
iajs-1825	29	90	given	give	VERB
iajs-1825	29	91	as	as	ADP
iajs-1825	29	92	:	:	PUNCT
iajs-1825	29	93	𝑙	𝑙	X
iajs-1825	29	94	=	=	X
iajs-1825	29	95	l	l	X
iajs-1825	29	96	(	(	PUNCT
iajs-1825	29	97	𝛼	𝛼	PROPN
iajs-1825	29	98	,	,	PUNCT
iajs-1825	29	99	𝛽	𝛽	NOUN
iajs-1825	29	100	;	;	PUNCT
iajs-1825	29	101	𝑥	𝑥	PROPN
iajs-1825	29	102	,	,	PUNCT
iajs-1825	29	103	𝑦	𝑦	X
iajs-1825	29	104	)	)	PUNCT
iajs-1825	29	105	=	=	SYM
iajs-1825	29	106	∏	∏	PROPN
iajs-1825	29	107	𝑓	𝑓	PRON
iajs-1825	29	108	𝑥	𝑥	X
iajs-1825	29	109	∏	∏	PROPN
iajs-1825	29	110	𝑓	𝑓	PROPN
iajs-1825	29	111	𝑦	𝑦	NOUN
iajs-1825	29	112	)	)	PUNCT
iajs-1825	29	113	(	(	PUNCT
iajs-1825	29	114	6	6	NUM
iajs-1825	29	115	)	)	PUNCT
iajs-1825	29	116	from	from	ADP
iajs-1825	29	117	equation	equation	NOUN
iajs-1825	29	118	(	(	PUNCT
iajs-1825	29	119	2	2	NUM
iajs-1825	29	120	)	)	PUNCT
iajs-1825	29	121	and	and	CCONJ
iajs-1825	29	122	the	the	DET
iajs-1825	29	123	equation	equation	NOUN
iajs-1825	29	124	(	(	PUNCT
iajs-1825	29	125	6	6	NUM
iajs-1825	29	126	)	)	PUNCT
iajs-1825	29	127	become	become	VERB
iajs-1825	29	128	𝑙=𝛼	𝑙=𝛼	PROPN
iajs-1825	30	1	𝛽	𝛽	NOUN
iajs-1825	30	2	𝜆	𝜆	ADP
iajs-1825	30	3	𝑛	𝑛	ADP
iajs-1825	30	4	𝑚	𝑚	X
iajs-1825	30	5	∏	∏	PROPN
iajs-1825	30	6	1	1	NUM
iajs-1825	30	7	𝑥𝑖	𝑥𝑖	ADP
iajs-1825	30	8	𝜆	𝜆	DET
iajs-1825	30	9	1	1	NUM
iajs-1825	30	10	∏	∏	NUM
iajs-1825	30	11	1	1	NUM
iajs-1825	30	12	1	1	NUM
iajs-1825	30	13	𝑥𝑖	𝑥𝑖	ADP
iajs-1825	30	14	𝜆	𝜆	ADP
iajs-1825	30	15	𝛼	𝛼	PROPN
iajs-1825	30	16	1	1	NUM
iajs-1825	30	17	∏	∏	NUM
iajs-1825	30	18	1	1	NUM
iajs-1825	30	19	𝑦𝑗	𝑦𝑗	NOUN
iajs-1825	30	20	𝜆	𝜆	PRON
iajs-1825	30	21	1	1	NUM
iajs-1825	30	22	∏	∏	NUM
iajs-1825	30	23	1	1	NUM
iajs-1825	30	24	1	1	NUM
iajs-1825	30	25	𝑦𝑗	𝑦𝑗	NOUN
iajs-1825	30	26	𝜆	𝜆	PRON
iajs-1825	30	27	𝛽	𝛽	NOUN
iajs-1825	30	28	1	1	NUM
iajs-1825	30	29	take	take	VERB
iajs-1825	30	30	logarithm	logarithm	NOUN
iajs-1825	30	31	to	to	ADP
iajs-1825	30	32	both	both	DET
iajs-1825	30	33	sides	side	NOUN
iajs-1825	30	34	,	,	PUNCT
iajs-1825	30	35	we	we	PRON
iajs-1825	30	36	get	get	VERB
iajs-1825	30	37	:	:	PUNCT
iajs-1825	30	38	    	    	SPACE
iajs-1825	30	39	149	149	NUM
iajs-1825	30	40	ibn	ibn	PROPN
iajs-1825	30	41	al	al	PROPN
iajs-1825	30	42	-	-	PUNCT
iajs-1825	30	43	haitham	haitham	PROPN
iajs-1825	30	44	jour	jour	X
iajs-1825	30	45	.	.	PROPN
iajs-1825	31	1	for	for	ADP
iajs-1825	31	2	pure	pure	ADJ
iajs-1825	31	3	&	&	CCONJ
iajs-1825	31	4	appl.sci	appl.sci	PROPN
iajs-1825	31	5	.	.	PUNCT
iajs-1825	32	1	ihjpas	ihjpas	PROPN
iajs-1825	32	2	 	 	SPACE
iajs-1825	32	3	https://doi.org/10.30526/32.1.1825	https://doi.org/10.30526/32.1.1825	PROPN
iajs-1825	32	4	vol	vol	NOUN
iajs-1825	32	5	.	.	PUNCT
iajs-1825	33	1	32	32	NUM
iajs-1825	33	2	(	(	PUNCT
iajs-1825	33	3	1	1	NUM
iajs-1825	33	4	)	)	PUNCT
iajs-1825	33	5	2019	2019	NUM
iajs-1825	33	6	ln	ln	NOUN
iajs-1825	33	7	𝑙	𝑙	DET
iajs-1825	33	8	𝑛𝑙𝑛𝛼	𝑛𝑙𝑛𝛼	NOUN
iajs-1825	33	9	𝑚𝑙𝑛𝛽	𝑚𝑙𝑛𝛽	VERB
iajs-1825	33	10	𝑛	𝑛	ADP
iajs-1825	33	11	𝑚	𝑚	NOUN
iajs-1825	33	12	𝑙𝑛𝜆	𝑙𝑛𝜆	NOUN
iajs-1825	33	13	𝜆	𝜆	PROPN
iajs-1825	33	14	1	1	NUM
iajs-1825	33	15	∑	∑	NOUN
iajs-1825	33	16	𝑙𝑛	𝑙𝑛	NOUN
iajs-1825	34	1	1	1	NUM
iajs-1825	34	2	𝑥	𝑥	NOUN
iajs-1825	34	3	𝛼	𝛼	SYM
iajs-1825	34	4	1	1	NUM
iajs-1825	34	5	∑	∑	PUNCT
iajs-1825	34	6	ln	ln	NOUN
iajs-1825	34	7	1	1	NUM
iajs-1825	34	8	1	1	NUM
iajs-1825	34	9	𝑥	𝑥	PRON
iajs-1825	34	10	𝜆	𝜆	PRON
iajs-1825	34	11	1	1	NUM
iajs-1825	34	12	∑	∑	PROPN
iajs-1825	34	13	𝑙𝑛	𝑙𝑛	NOUN
iajs-1825	34	14	1	1	NUM
iajs-1825	34	15	𝑦	𝑦	SYM
iajs-1825	34	16	𝛽	𝛽	PROPN
iajs-1825	34	17	1	1	NUM
iajs-1825	34	18	∑	∑	PROPN
iajs-1825	34	19	𝑙𝑛	𝑙𝑛	NOUN
iajs-1825	34	20	1	1	NUM
iajs-1825	34	21	1	1	NUM
iajs-1825	34	22	𝑦	𝑦	NOUN
iajs-1825	34	23	(	(	PUNCT
iajs-1825	34	24	7	7	NUM
iajs-1825	34	25	)	)	PUNCT
iajs-1825	34	26	𝑑ln	𝑑ln	NOUN
iajs-1825	34	27	𝑙	𝑙	ADP
iajs-1825	34	28	𝑑𝛼	𝑑𝛼	ADP
iajs-1825	34	29	𝑛	𝑛	PROPN
iajs-1825	34	30	𝛼	𝛼	NOUN
iajs-1825	34	31	𝑙𝑛	𝑙𝑛	NOUN
iajs-1825	34	32	1	1	NUM
iajs-1825	34	33	1	1	NUM
iajs-1825	34	34	𝑥	𝑥	NOUN
iajs-1825	34	35	0	0	NUM
iajs-1825	34	36	𝑑ln	𝑑ln	PROPN
iajs-1825	34	37	𝑙	𝑙	PROPN
iajs-1825	34	38	𝑑𝛽	𝑑𝛽	INTJ
iajs-1825	34	39	𝑚	𝑚	PROPN
iajs-1825	34	40	𝛽	𝛽	NOUN
iajs-1825	34	41	𝑙𝑛	𝑙𝑛	NOUN
iajs-1825	34	42	1	1	NUM
iajs-1825	34	43	1	1	NUM
iajs-1825	34	44	𝑦	𝑦	NOUN
iajs-1825	34	45	0	0	NUM
iajs-1825	34	46	thus	thus	ADV
iajs-1825	34	47	,	,	PUNCT
iajs-1825	34	48	the	the	DET
iajs-1825	34	49	maximum	maximum	ADJ
iajs-1825	34	50	likelihood	likelihood	NOUN
iajs-1825	34	51	estimator	estimator	NOUN
iajs-1825	34	52	for	for	ADP
iajs-1825	34	53	the	the	DET
iajs-1825	34	54	unknown	unknown	ADJ
iajs-1825	34	55	shape	shape	NOUN
iajs-1825	34	56	parameters	parameter	NOUN
iajs-1825	34	57	𝛼	𝛼	VERB
iajs-1825	34	58	and	and	CCONJ
iajs-1825	34	59	β	β	X
iajs-1825	34	60	will	will	AUX
iajs-1825	34	61	be	be	AUX
iajs-1825	34	62	respectively	respectively	ADV
iajs-1825	34	63	as	as	SCONJ
iajs-1825	34	64	follows	follow	VERB
iajs-1825	34	65	[	[	X
iajs-1825	34	66	2	2	NUM
iajs-1825	34	67	]	]	PUNCT
iajs-1825	34	68	:	:	PUNCT
iajs-1825	34	69	α	α	X
iajs-1825	34	70	∑	∑	PROPN
iajs-1825	34	71	(	(	PUNCT
iajs-1825	34	72	8)	8)	NUM
iajs-1825	34	73	𝛽	𝛽	NOUN
iajs-1825	34	74	∑	∑	PUNCT
iajs-1825	34	75	(	(	PUNCT
iajs-1825	34	76	9	9	NUM
iajs-1825	34	77	)	)	PUNCT
iajs-1825	34	78	note	note	NOUN
iajs-1825	34	79	that	that	SCONJ
iajs-1825	34	80	,	,	PUNCT
iajs-1825	34	81	α	α	PROPN
iajs-1825	34	82	and𝛽	and𝛽	NOUN
iajs-1825	34	83	are	be	AUX
iajs-1825	34	84	biased	biased	ADJ
iajs-1825	34	85	estimators	estimator	NOUN
iajs-1825	34	86	for	for	ADP
iajs-1825	34	87	α	α	NOUN
iajs-1825	34	88	and	and	CCONJ
iajs-1825	34	89	β	β	X
iajs-1825	34	90	respectively	respectively	ADV
iajs-1825	34	91	since	since	SCONJ
iajs-1825	34	92	e	e	PROPN
iajs-1825	34	93	(	(	PUNCT
iajs-1825	34	94	α	α	NOUN
iajs-1825	34	95	𝛼	𝛼	PROPN
iajs-1825	34	96	,	,	PUNCT
iajs-1825	34	97	and	and	CCONJ
iajs-1825	34	98	e	e	X
iajs-1825	34	99	(	(	PUNCT
iajs-1825	34	100	β	β	X
iajs-1825	34	101	𝛽	𝛽	NOUN
iajs-1825	34	102	hence	hence	ADV
iajs-1825	34	103	,	,	PUNCT
iajs-1825	34	104	α	α	PROPN
iajs-1825	34	105	α	α	NOUN
iajs-1825	34	106	and	and	CCONJ
iajs-1825	34	107	𝛽	𝛽	PROPN
iajs-1825	34	108	𝛽	𝛽	NOUN
iajs-1825	34	109	are	be	AUX
iajs-1825	34	110	respectively	respectively	ADV
iajs-1825	34	111	unbiased	unbiased	ADJ
iajs-1825	34	112	estimators	estimator	NOUN
iajs-1825	34	113	for	for	ADP
iajs-1825	34	114	α	α	NOUN
iajs-1825	34	115	and	and	CCONJ
iajs-1825	34	116	β.therefore	β.therefore	NOUN
iajs-1825	34	117	,	,	PUNCT
iajs-1825	34	118	e	e	X
iajs-1825	34	119	(	(	PUNCT
iajs-1825	34	120	α	α	NOUN
iajs-1825	34	121	=	=	NOUN
iajs-1825	34	122	𝛼	𝛼	PROPN
iajs-1825	34	123	and	and	CCONJ
iajs-1825	34	124	var	var	NOUN
iajs-1825	34	125	(	(	PUNCT
iajs-1825	34	126	α	α	NOUN
iajs-1825	34	127	)	)	PUNCT
iajs-1825	34	128	=	=	SYM
iajs-1825	34	129	(	(	PUNCT
iajs-1825	34	130	10	10	NUM
iajs-1825	34	131	)	)	PUNCT
iajs-1825	34	132	e	e	NOUN
iajs-1825	34	133	(	(	PUNCT
iajs-1825	34	134	𝛽	𝛽	NOUN
iajs-1825	34	135	=	=	SYM
iajs-1825	34	136	𝛽	𝛽	PROPN
iajs-1825	34	137	and	and	CCONJ
iajs-1825	34	138	var	var	NOUN
iajs-1825	34	139	(	(	PUNCT
iajs-1825	34	140	𝛽	𝛽	NOUN
iajs-1825	34	141	)	)	PUNCT
iajs-1825	35	1	=	=	PUNCT
iajs-1825	35	2	(	(	PUNCT
iajs-1825	35	3	11	11	NUM
iajs-1825	35	4	)	)	PUNCT
iajs-1825	35	5	by	by	ADP
iajs-1825	35	6	substitute	substitute	ADJ
iajs-1825	35	7	equations	equation	NOUN
iajs-1825	35	8	(	(	PUNCT
iajs-1825	35	9	8)	8)	NUM
iajs-1825	35	10	and	and	CCONJ
iajs-1825	35	11	(	(	PUNCT
iajs-1825	35	12	9	9	NUM
iajs-1825	35	13	)	)	PUNCT
iajs-1825	35	14	in	in	ADP
iajs-1825	35	15	equation	equation	NOUN
iajs-1825	35	16	(	(	PUNCT
iajs-1825	35	17	5	5	NUM
iajs-1825	35	18	)	)	PUNCT
iajs-1825	35	19	,	,	PUNCT
iajs-1825	35	20	we	we	PRON
iajs-1825	35	21	obtain	obtain	VERB
iajs-1825	35	22	the	the	DET
iajs-1825	35	23	maximum	maximum	ADJ
iajs-1825	35	24	likelihood	likelihood	NOUN
iajs-1825	35	25	estimator	estimator	NOUN
iajs-1825	35	26	for	for	ADP
iajs-1825	35	27	𝑅	𝑅	PROPN
iajs-1825	35	28	,	,	PUNCT
iajs-1825	35	29	as	as	ADP
iajs-1825	35	30	below	below	ADV
iajs-1825	35	31	:	:	PUNCT
iajs-1825	35	32	𝑅	𝑅	NOUN
iajs-1825	35	33	,	,	PUNCT
iajs-1825	35	34	∑	∑	PROPN
iajs-1825	35	35	!	!	PUNCT
iajs-1825	35	36	!	!	PUNCT
iajs-1825	36	1	∏	∏	PROPN
iajs-1825	37	1	𝑘	𝑘	DET
iajs-1825	37	2	𝑗	𝑗	X
iajs-1825	37	3	;	;	PUNCT
iajs-1825	37	4	k	k	X
iajs-1825	37	5	,	,	PUNCT
iajs-1825	37	6	i	i	PRON
iajs-1825	37	7	,	,	PUNCT
iajs-1825	37	8	j	j	PROPN
iajs-1825	37	9	are	be	AUX
iajs-1825	37	10	integers	integer	NOUN
iajs-1825	37	11	(	(	PUNCT
iajs-1825	37	12	12	12	NUM
iajs-1825	37	13	)	)	PUNCT
iajs-1825	37	14	3	3	NUM
iajs-1825	37	15	.	.	PUNCT
iajs-1825	37	16	shrinkage	shrinkage	NOUN
iajs-1825	37	17	estimation	estimation	NOUN
iajs-1825	37	18	method	method	NOUN
iajs-1825	37	19	(	(	PUNCT
iajs-1825	37	20	sh	sh	PROPN
iajs-1825	37	21	)	)	PUNCT
iajs-1825	37	22	as	as	SCONJ
iajs-1825	37	23	thompson	thompson	PROPN
iajs-1825	37	24	suggested	suggest	VERB
iajs-1825	37	25	in	in	ADP
iajs-1825	37	26	(	(	PUNCT
iajs-1825	37	27	1968	1968	NUM
iajs-1825	37	28	)	)	PUNCT
iajs-1825	37	29	,	,	PUNCT
iajs-1825	37	30	the	the	DET
iajs-1825	37	31	shrinkage	shrinkage	NOUN
iajs-1825	37	32	estimator	estimator	NOUN
iajs-1825	37	33	of	of	ADP
iajs-1825	37	34	α	α	PROPN
iajs-1825	37	35	denoted	denote	VERB
iajs-1825	37	36	by	by	ADP
iajs-1825	37	37	(	(	PUNCT
iajs-1825	37	38	α	α	NOUN
iajs-1825	37	39	)	)	PUNCT
iajs-1825	37	40	is	be	AUX
iajs-1825	37	41	defined	define	VERB
iajs-1825	37	42	as	as	ADP
iajs-1825	37	43	below	below	ADV
iajs-1825	37	44	:	:	PUNCT
iajs-1825	37	45	α	α	NOUN
iajs-1825	37	46	∅	∅	NOUN
iajs-1825	37	47	α	α	NOUN
iajs-1825	37	48	α	α	NOUN
iajs-1825	37	49	1	1	NUM
iajs-1825	37	50	∅	∅	NOUN
iajs-1825	37	51	α	α	PROPN
iajs-1825	37	52	α	α	PROPN
iajs-1825	37	53	(	(	PUNCT
iajs-1825	37	54	13	13	NUM
iajs-1825	37	55	)	)	PUNCT
iajs-1825	37	56	he	he	PRON
iajs-1825	37	57	shrinks	shrink	VERB
iajs-1825	37	58	a	a	DET
iajs-1825	37	59	usual	usual	ADJ
iajs-1825	37	60	estimator	estimator	NOUN
iajs-1825	37	61	𝛼	𝛼	NOUN
iajs-1825	37	62	to	to	ADP
iajs-1825	37	63	prior	prior	ADJ
iajs-1825	37	64	information𝛼	information𝛼	NOUN
iajs-1825	37	65	using	use	VERB
iajs-1825	37	66	shrinkage	shrinkage	NOUN
iajs-1825	37	67	weight	weight	NOUN
iajs-1825	37	68	factor	factor	NOUN
iajs-1825	37	69	∅	∅	NOUN
iajs-1825	37	70	α	α	NOUN
iajs-1825	38	1	and	and	CCONJ
iajs-1825	38	2	he	he	PRON
iajs-1825	38	3	believed	believe	VERB
iajs-1825	38	4	𝛼	𝛼	PRON
iajs-1825	38	5	is	be	AUX
iajs-1825	38	6	closed	close	VERB
iajs-1825	38	7	to	to	ADP
iajs-1825	38	8	α	α	NOUN
iajs-1825	39	1	[	[	X
iajs-1825	39	2	5	5	NUM
iajs-1825	39	3	]	]	PUNCT
iajs-1825	39	4	,	,	PUNCT
iajs-1825	39	5	[	[	X
iajs-1825	39	6	7	7	NUM
iajs-1825	39	7	]	]	PUNCT
iajs-1825	39	8	.	.	PUNCT
iajs-1825	40	1	we	we	PRON
iajs-1825	40	2	apply	apply	VERB
iajs-1825	40	3	the	the	DET
iajs-1825	40	4	unbiased	unbiased	ADJ
iajs-1825	40	5	estimator	estimator	NOUN
iajs-1825	40	6	𝛼	𝛼	PROPN
iajs-1825	40	7	as	as	ADP
iajs-1825	40	8	a	a	DET
iajs-1825	40	9	usual	usual	ADJ
iajs-1825	40	10	estimator	estimator	NOUN
iajs-1825	40	11	and	and	CCONJ
iajs-1825	40	12	𝛼	𝛼	ADJ
iajs-1825	40	13	𝛼	𝛼	NOUN
iajs-1825	40	14	as	as	ADP
iajs-1825	40	15	a	a	DET
iajs-1825	40	16	prior	prior	ADJ
iajs-1825	40	17	information	information	NOUN
iajs-1825	40	18	of	of	ADP
iajs-1825	40	19	α	α	NOUN
iajs-1825	40	20	in	in	ADP
iajs-1825	40	21	this	this	DET
iajs-1825	40	22	paper	paper	NOUN
iajs-1825	40	23	.	.	PUNCT
iajs-1825	41	1	thus	thus	ADV
iajs-1825	41	2	,	,	PUNCT
iajs-1825	41	3	the	the	DET
iajs-1825	41	4	shrinkage	shrinkage	NOUN
iajs-1825	41	5	estimator	estimator	NOUN
iajs-1825	41	6	of	of	ADP
iajs-1825	41	7	the	the	DET
iajs-1825	41	8	shape	shape	NOUN
iajs-1825	41	9	parameterα	parameterα	NOUN
iajs-1825	41	10	of	of	ADP
iajs-1825	41	11	ep	ep	PROPN
iajs-1825	41	12	(	(	PUNCT
iajs-1825	41	13	α	α	X
iajs-1825	41	14	,	,	PUNCT
iajs-1825	41	15	λ	λ	NOUN
iajs-1825	41	16	)	)	PUNCT
iajs-1825	41	17	will	will	AUX
iajs-1825	41	18	be	be	AUX
iajs-1825	41	19	as	as	SCONJ
iajs-1825	41	20	follows	follow	VERB
iajs-1825	41	21	:	:	PUNCT
iajs-1825	41	22	𝛼	𝛼	NOUN
iajs-1825	41	23	∅	∅	NOUN
iajs-1825	41	24	𝛼	𝛼	NOUN
iajs-1825	41	25	𝛼	𝛼	SYM
iajs-1825	41	26	1	1	NUM
iajs-1825	41	27	∅	∅	NOUN
iajs-1825	41	28	𝛼	𝛼	ADP
iajs-1825	41	29	𝛼	𝛼	NOUN
iajs-1825	41	30	(	(	PUNCT
iajs-1825	41	31	14	14	NUM
iajs-1825	41	32	)	)	PUNCT
iajs-1825	41	33	and	and	CCONJ
iajs-1825	41	34	the	the	DET
iajs-1825	41	35	same	same	ADJ
iajs-1825	41	36	way	way	NOUN
iajs-1825	41	37	,	,	PUNCT
iajs-1825	41	38	the	the	DET
iajs-1825	41	39	shrinkage	shrinkage	NOUN
iajs-1825	41	40	estimator	estimator	NOUN
iajs-1825	41	41	for	for	ADP
iajs-1825	41	42	the	the	DET
iajs-1825	41	43	shape	shape	NOUN
iajs-1825	41	44	parameter	parameter	NOUN
iajs-1825	41	45	β	β	X
iajs-1825	41	46	of	of	ADP
iajs-1825	41	47	ep(β	ep(β	X
iajs-1825	41	48	,	,	PUNCT
iajs-1825	41	49	λ	λ	X
iajs-1825	41	50	)	)	PUNCT
iajs-1825	41	51	will	will	AUX
iajs-1825	41	52	be	be	AUX
iajs-1825	41	53	as	as	ADP
iajs-1825	41	54	the	the	DET
iajs-1825	41	55	following	following	NOUN
iajs-1825	41	56	:	:	PUNCT
iajs-1825	41	57	𝛽	𝛽	NOUN
iajs-1825	41	58	∅	∅	NOUN
iajs-1825	41	59	𝛽	𝛽	NOUN
iajs-1825	41	60	𝛽	𝛽	NOUN
iajs-1825	41	61	1	1	NUM
iajs-1825	41	62	∅	∅	NOUN
iajs-1825	41	63	𝛽	𝛽	NOUN
iajs-1825	41	64	𝛽	𝛽	NOUN
iajs-1825	41	65	(	(	PUNCT
iajs-1825	41	66	15	15	NUM
iajs-1825	41	67	)	)	PUNCT
iajs-1825	41	68	    	    	SPACE
iajs-1825	41	69	150	150	NUM
iajs-1825	41	70	ibn	ibn	PROPN
iajs-1825	41	71	al	al	PROPN
iajs-1825	41	72	-	-	PUNCT
iajs-1825	41	73	haitham	haitham	PROPN
iajs-1825	41	74	jour	jour	X
iajs-1825	41	75	.	.	PROPN
iajs-1825	42	1	for	for	ADP
iajs-1825	42	2	pure	pure	ADJ
iajs-1825	42	3	&	&	CCONJ
iajs-1825	42	4	appl.sci	appl.sci	PROPN
iajs-1825	42	5	.	.	PUNCT
iajs-1825	43	1	ihjpas	ihjpas	PROPN
iajs-1825	43	2	 	 	SPACE
iajs-1825	43	3	https://doi.org/10.30526/32.1.1825	https://doi.org/10.30526/32.1.1825	PROPN
iajs-1825	43	4	vol	vol	NOUN
iajs-1825	43	5	.	.	PUNCT
iajs-1825	44	1	32	32	NUM
iajs-1825	44	2	(	(	PUNCT
iajs-1825	44	3	1	1	NUM
iajs-1825	44	4	)	)	PUNCT
iajs-1825	44	5	2019	2019	NUM
iajs-1825	44	6	3.1	3.1	NUM
iajs-1825	44	7	.	.	PUNCT
iajs-1825	45	1	the	the	DET
iajs-1825	45	2	shrinkage	shrinkage	NOUN
iajs-1825	45	3	weight	weight	NOUN
iajs-1825	45	4	function	function	NOUN
iajs-1825	45	5	(	(	PUNCT
iajs-1825	45	6	sh1	sh1	PROPN
iajs-1825	45	7	):	):	PUNCT
iajs-1825	45	8	in	in	ADP
iajs-1825	45	9	this	this	DET
iajs-1825	45	10	subsection	subsection	NOUN
iajs-1825	45	11	,	,	PUNCT
iajs-1825	45	12	the	the	DET
iajs-1825	45	13	shrinkage	shrinkage	NOUN
iajs-1825	45	14	weight	weight	NOUN
iajs-1825	45	15	factor	factor	NOUN
iajs-1825	45	16	will	will	AUX
iajs-1825	45	17	be	be	AUX
iajs-1825	45	18	considered	consider	VERB
iajs-1825	45	19	as	as	ADP
iajs-1825	45	20	a	a	DET
iajs-1825	45	21	function	function	NOUN
iajs-1825	45	22	of	of	ADP
iajs-1825	45	23	sizes	size	NOUN
iajs-1825	45	24	n	n	ADJ
iajs-1825	45	25	and	and	CCONJ
iajs-1825	45	26	m	m	VERB
iajs-1825	45	27	respectively	respectively	ADV
iajs-1825	45	28	and	and	CCONJ
iajs-1825	45	29	taking	take	VERB
iajs-1825	45	30	the	the	DET
iajs-1825	45	31	forms	form	NOUN
iajs-1825	45	32	below	below	ADP
iajs-1825	45	33	:	:	PUNCT
iajs-1825	45	34	∅	∅	NUM
iajs-1825	45	35	𝛼	𝛼	PROPN
iajs-1825	45	36	|sin	|sin	NOUN
iajs-1825	45	37	𝑛/𝑛|	𝑛/𝑛|	PROPN
iajs-1825	45	38	,	,	PUNCT
iajs-1825	45	39	and	and	CCONJ
iajs-1825	45	40	∅	∅	NOUN
iajs-1825	45	41	𝛽	𝛽	PROPN
iajs-1825	45	42	|sin	|sin	NOUN
iajs-1825	45	43	𝑚/𝑚|	𝑚/𝑚|	NUM
iajs-1825	45	44	where	where	SCONJ
iajs-1825	45	45	,	,	PUNCT
iajs-1825	45	46	n	n	PROPN
iajs-1825	45	47	and	and	CCONJ
iajs-1825	45	48	m	m	AUX
iajs-1825	45	49	refer	refer	VERB
iajs-1825	45	50	to	to	ADP
iajs-1825	45	51	the	the	DET
iajs-1825	45	52	sample	sample	NOUN
iajs-1825	45	53	size	size	NOUN
iajs-1825	45	54	of	of	ADP
iajs-1825	45	55	x	x	X
iajs-1825	45	56	and	and	CCONJ
iajs-1825	45	57	y.	y.	PROPN
iajs-1825	45	58	therefore	therefore	ADV
iajs-1825	45	59	,	,	PUNCT
iajs-1825	45	60	the	the	DET
iajs-1825	45	61	shrinkage	shrinkage	NOUN
iajs-1825	45	62	estimator	estimator	NOUN
iajs-1825	45	63	using	use	VERB
iajs-1825	45	64	shrinkage	shrinkage	NOUN
iajs-1825	45	65	weight	weight	NOUN
iajs-1825	45	66	function	function	NOUN
iajs-1825	45	67	of	of	ADP
iajs-1825	45	68	𝛼	𝛼	PRON
iajs-1825	45	69	and	and	CCONJ
iajs-1825	45	70	β	β	NOUN
iajs-1825	45	71	which	which	PRON
iajs-1825	45	72	is	be	AUX
iajs-1825	45	73	defined	define	VERB
iajs-1825	45	74	in	in	ADP
iajs-1825	45	75	equations	equation	NOUN
iajs-1825	45	76	(	(	PUNCT
iajs-1825	45	77	14	14	NUM
iajs-1825	45	78	)	)	PUNCT
iajs-1825	45	79	and	and	CCONJ
iajs-1825	45	80	(	(	PUNCT
iajs-1825	45	81	15	15	NUM
iajs-1825	45	82	)	)	PUNCT
iajs-1825	45	83	,	,	PUNCT
iajs-1825	45	84	will	will	AUX
iajs-1825	45	85	be	be	AUX
iajs-1825	45	86	.	.	PUNCT
iajs-1825	46	1	𝛼	𝛼	X
iajs-1825	46	2	|sin	|sin	NOUN
iajs-1825	46	3	𝑛/𝑛|𝛼	𝑛/𝑛|𝛼	PROPN
iajs-1825	46	4	1	1	NUM
iajs-1825	46	5	|sin	|sin	NOUN
iajs-1825	46	6	𝑛/𝑛|	𝑛/𝑛|	PROPN
iajs-1825	46	7	𝛼	𝛼	PROPN
iajs-1825	46	8	(	(	PUNCT
iajs-1825	46	9	16	16	NUM
iajs-1825	46	10	)	)	PUNCT
iajs-1825	46	11	𝛽	𝛽	NOUN
iajs-1825	46	12	|sin	|sin	NOUN
iajs-1825	46	13	𝑚/𝑚|𝛽	𝑚/𝑚|𝛽	PROPN
iajs-1825	46	14	1	1	NUM
iajs-1825	46	15	|sin	|sin	NOUN
iajs-1825	46	16	𝑚/𝑚|	𝑚/𝑚|	PROPN
iajs-1825	46	17	𝛽	𝛽	NOUN
iajs-1825	46	18	(	(	PUNCT
iajs-1825	46	19	17	17	NUM
iajs-1825	46	20	)	)	PUNCT
iajs-1825	46	21	then	then	ADV
iajs-1825	46	22	,	,	PUNCT
iajs-1825	46	23	the	the	DET
iajs-1825	46	24	estimation	estimation	NOUN
iajs-1825	46	25	of𝑅	of𝑅	NOUN
iajs-1825	46	26	,	,	PUNCT
iajs-1825	46	27	which	which	PRON
iajs-1825	46	28	is	be	AUX
iajs-1825	46	29	defined	define	VERB
iajs-1825	46	30	in	in	ADP
iajs-1825	46	31	equation	equation	NOUN
iajs-1825	46	32	(	(	PUNCT
iajs-1825	46	33	5	5	X
iajs-1825	46	34	)	)	PUNCT
iajs-1825	46	35	using	use	VERB
iajs-1825	46	36	shrinkage	shrinkage	NOUN
iajs-1825	46	37	weight	weight	NOUN
iajs-1825	46	38	function	function	NOUN
iajs-1825	46	39	will	will	AUX
iajs-1825	46	40	be	be	AUX
iajs-1825	46	41	:	:	PUNCT
iajs-1825	46	42	𝑅	𝑅	PROPN
iajs-1825	46	43	,	,	PUNCT
iajs-1825	46	44	∑	∑	PROPN
iajs-1825	46	45	!	!	PUNCT
iajs-1825	46	46	!	!	PUNCT
iajs-1825	47	1	∏	∏	PROPN
iajs-1825	48	1	𝑘	𝑘	PRON
iajs-1825	48	2	𝑗	𝑗	PROPN
iajs-1825	48	3	(	(	PUNCT
iajs-1825	48	4	18	18	NUM
iajs-1825	48	5	)	)	PUNCT
iajs-1825	48	6	3.2	3.2	NUM
iajs-1825	48	7	.	.	PUNCT
iajs-1825	49	1	constant	constant	ADJ
iajs-1825	49	2	shrinkage	shrinkage	NOUN
iajs-1825	49	3	weight	weight	NOUN
iajs-1825	49	4	function	function	NOUN
iajs-1825	49	5	(	(	PUNCT
iajs-1825	49	6	sh2	sh2	PROPN
iajs-1825	49	7	)	)	PUNCT
iajs-1825	49	8	we	we	PRON
iajs-1825	49	9	suggest	suggest	VERB
iajs-1825	49	10	in	in	ADP
iajs-1825	49	11	this	this	DET
iajs-1825	49	12	subsection	subsection	NOUN
iajs-1825	49	13	constant	constant	ADJ
iajs-1825	49	14	shrinkage	shrinkage	NOUN
iajs-1825	49	15	weight	weight	NOUN
iajs-1825	49	16	factor	factor	NOUN
iajs-1825	49	17	∅	∅	NOUN
iajs-1825	49	18	𝛼	𝛼	SYM
iajs-1825	49	19	0.1	0.1	NUM
iajs-1825	49	20	,	,	PUNCT
iajs-1825	49	21	and∅	and∅	X
iajs-1825	49	22	𝛽	𝛽	NOUN
iajs-1825	49	23	0.1	0.1	NUM
iajs-1825	49	24	.	.	PUNCT
iajs-1825	50	1	therefore	therefore	ADV
iajs-1825	50	2	,	,	PUNCT
iajs-1825	50	3	the	the	DET
iajs-1825	50	4	shrinkage	shrinkage	NOUN
iajs-1825	50	5	estimator	estimator	NOUN
iajs-1825	50	6	using	use	VERB
iajs-1825	50	7	specific	specific	ADJ
iajs-1825	50	8	constant	constant	ADJ
iajs-1825	50	9	weight	weight	NOUN
iajs-1825	50	10	factor	factor	NOUN
iajs-1825	50	11	will	will	AUX
iajs-1825	50	12	be	be	AUX
iajs-1825	50	13	as	as	SCONJ
iajs-1825	50	14	follows	follow	VERB
iajs-1825	50	15	:	:	PUNCT
iajs-1825	50	16	𝛼	𝛼	NOUN
iajs-1825	50	17	0.1	0.1	NUM
iajs-1825	50	18	𝛼	𝛼	PROPN
iajs-1825	50	19	0.9	0.9	NUM
iajs-1825	50	20	𝛼	𝛼	NOUN
iajs-1825	50	21	(	(	PUNCT
iajs-1825	50	22	19	19	NUM
iajs-1825	50	23	)	)	PUNCT
iajs-1825	50	24	𝛽	𝛽	NOUN
iajs-1825	50	25	0.1	0.1	NUM
iajs-1825	50	26	𝛽	𝛽	NOUN
iajs-1825	50	27	0.9	0.9	NUM
iajs-1825	50	28	𝛽	𝛽	NOUN
iajs-1825	50	29	(	(	PUNCT
iajs-1825	50	30	20	20	NUM
iajs-1825	50	31	)	)	PUNCT
iajs-1825	50	32	substitute	substitute	NOUN
iajs-1825	50	33	equation	equation	NOUN
iajs-1825	50	34	(	(	PUNCT
iajs-1825	50	35	19	19	NUM
iajs-1825	50	36	)	)	PUNCT
iajs-1825	50	37	and	and	CCONJ
iajs-1825	50	38	(	(	PUNCT
iajs-1825	50	39	20	20	NUM
iajs-1825	50	40	)	)	PUNCT
iajs-1825	50	41	in	in	ADP
iajs-1825	50	42	equation	equation	NOUN
iajs-1825	50	43	(	(	PUNCT
iajs-1825	50	44	5	5	NUM
iajs-1825	50	45	)	)	PUNCT
iajs-1825	50	46	to	to	PART
iajs-1825	50	47	obtain	obtain	VERB
iajs-1825	50	48	the	the	DET
iajs-1825	50	49	shrinkage	shrinkage	NOUN
iajs-1825	50	50	estimation	estimation	NOUN
iajs-1825	50	51	of	of	ADP
iajs-1825	50	52	r(s	r(s	PROPN
iajs-1825	50	53	,	,	PUNCT
iajs-1825	50	54	k	k	NOUN
iajs-1825	50	55	)	)	PUNCT
iajs-1825	50	56	using	use	VERB
iajs-1825	50	57	the	the	DET
iajs-1825	50	58	above	above	ADJ
iajs-1825	50	59	constant	constant	ADJ
iajs-1825	50	60	shrinkage	shrinkage	NOUN
iajs-1825	50	61	weight	weight	NOUN
iajs-1825	50	62	factor	factor	NOUN
iajs-1825	50	63	as	as	ADP
iajs-1825	50	64	below	below	ADV
iajs-1825	50	65	:	:	PUNCT
iajs-1825	50	66	𝑅	𝑅	NOUN
iajs-1825	50	67	,	,	PUNCT
iajs-1825	50	68	∑	∑	PROPN
iajs-1825	50	69	!	!	PUNCT
iajs-1825	50	70	!	!	PUNCT
iajs-1825	51	1	∏	∏	PROPN
iajs-1825	52	1	𝑘	𝑘	DET
iajs-1825	52	2	𝑗	𝑗	X
iajs-1825	52	3	;	;	PUNCT
iajs-1825	52	4	k	k	X
iajs-1825	52	5	,	,	PUNCT
iajs-1825	52	6	i	i	PRON
iajs-1825	52	7	,	,	PUNCT
iajs-1825	52	8	j	j	PROPN
iajs-1825	52	9	are	be	AUX
iajs-1825	52	10	integers	integer	NOUN
iajs-1825	52	11	(	(	PUNCT
iajs-1825	52	12	21	21	NUM
iajs-1825	52	13	)	)	PUNCT
iajs-1825	52	14	3.3	3.3	NUM
iajs-1825	52	15	.	.	PUNCT
iajs-1825	53	1	modified	modify	VERB
iajs-1825	53	2	thompson	thompson	PROPN
iajs-1825	53	3	type	type	NOUN
iajs-1825	53	4	shrinkage	shrinkage	NOUN
iajs-1825	53	5	weight	weight	NOUN
iajs-1825	53	6	function	function	NOUN
iajs-1825	53	7	(	(	PUNCT
iajs-1825	53	8	th	th	NOUN
iajs-1825	53	9	)	)	PUNCT
iajs-1825	53	10	in	in	ADP
iajs-1825	53	11	this	this	DET
iajs-1825	53	12	subsection	subsection	NOUN
iajs-1825	53	13	,	,	PUNCT
iajs-1825	53	14	we	we	PRON
iajs-1825	53	15	modify	modify	VERB
iajs-1825	53	16	the	the	DET
iajs-1825	53	17	shrinkage	shrinkage	NOUN
iajs-1825	53	18	weight	weight	NOUN
iajs-1825	53	19	factor	factor	NOUN
iajs-1825	53	20	of	of	ADP
iajs-1825	53	21	thompson	thompson	PROPN
iajs-1825	53	22	type	type	NOUN
iajs-1825	53	23	estimator	estimator	NOUN
iajs-1825	53	24	as	as	ADP
iajs-1825	53	25	below	below	ADV
iajs-1825	53	26	,	,	PUNCT
iajs-1825	53	27	[	[	X
iajs-1825	53	28	7	7	X
iajs-1825	53	29	]	]	PUNCT
iajs-1825	53	30	𝛾	𝛾	ADP
iajs-1825	53	31	𝛼	𝛼	PRON
iajs-1825	53	32	*	*	NOUN
iajs-1825	53	33	0.001	0.001	NUM
iajs-1825	53	34	(	(	PUNCT
iajs-1825	53	35	22	22	NUM
iajs-1825	53	36	)	)	PUNCT
iajs-1825	53	37	𝛾	𝛾	ADP
iajs-1825	53	38	𝛽	𝛽	NOUN
iajs-1825	53	39	∗	∗	NOUN
iajs-1825	53	40	0.001	0.001	NUM
iajs-1825	53	41	(	(	PUNCT
iajs-1825	53	42	23	23	NUM
iajs-1825	53	43	)	)	PUNCT
iajs-1825	54	1	where	where	SCONJ
iajs-1825	54	2	var	var	NOUN
iajs-1825	54	3	(	(	PUNCT
iajs-1825	54	4	α	α	NOUN
iajs-1825	54	5	)	)	PUNCT
iajs-1825	54	6	=	=	SYM
iajs-1825	54	7	and	and	CCONJ
iajs-1825	54	8	var	var	NOUN
iajs-1825	54	9	(	(	PUNCT
iajs-1825	54	10	𝛽	𝛽	NOUN
iajs-1825	54	11	)	)	PUNCT
iajs-1825	54	12	=	=	SYM
iajs-1825	54	13	therefore	therefore	ADV
iajs-1825	54	14	,	,	PUNCT
iajs-1825	54	15	the	the	DET
iajs-1825	54	16	shrinkage	shrinkage	NOUN
iajs-1825	54	17	estimator	estimator	NOUN
iajs-1825	54	18	ofα	ofα	NOUN
iajs-1825	54	19	and	and	CCONJ
iajs-1825	54	20	β	β	X
iajs-1825	54	21	using	use	VERB
iajs-1825	54	22	modified	modify	VERB
iajs-1825	54	23	shrinkage	shrinkage	NOUN
iajs-1825	54	24	weight	weight	NOUN
iajs-1825	54	25	factor	factor	NOUN
iajs-1825	54	26	are	be	AUX
iajs-1825	54	27	respectively	respectively	ADV
iajs-1825	54	28	as	as	ADP
iajs-1825	54	29	below	below	ADV
iajs-1825	54	30	:	:	PUNCT
iajs-1825	54	31	𝛼	𝛼	PRON
iajs-1825	54	32	𝛾	𝛾	NOUN
iajs-1825	54	33	𝛼	𝛼	X
iajs-1825	54	34	𝛼	𝛼	PROPN
iajs-1825	54	35	1	1	NUM
iajs-1825	54	36	𝛾	𝛾	NOUN
iajs-1825	54	37	𝛼	𝛼	X
iajs-1825	54	38	𝛼	𝛼	NOUN
iajs-1825	54	39	(	(	PUNCT
iajs-1825	54	40	24	24	NUM
iajs-1825	54	41	)	)	PUNCT
iajs-1825	54	42	𝛽	𝛽	NOUN
iajs-1825	54	43	𝛾	𝛾	NOUN
iajs-1825	54	44	𝛽	𝛽	NOUN
iajs-1825	54	45	𝛽	𝛽	PROPN
iajs-1825	54	46	1	1	NUM
iajs-1825	54	47	𝛾	𝛾	NOUN
iajs-1825	54	48	𝛽	𝛽	NOUN
iajs-1825	54	49	𝛽	𝛽	PROPN
iajs-1825	54	50	(	(	PUNCT
iajs-1825	54	51	25	25	NUM
iajs-1825	54	52	)	)	PUNCT
iajs-1825	54	53	    	    	SPACE
iajs-1825	54	54	151	151	NUM
iajs-1825	54	55	ibn	ibn	PROPN
iajs-1825	54	56	al	al	PROPN
iajs-1825	54	57	-	-	PUNCT
iajs-1825	54	58	haitham	haitham	PROPN
iajs-1825	54	59	jour	jour	X
iajs-1825	54	60	.	.	PROPN
iajs-1825	55	1	for	for	ADP
iajs-1825	55	2	pure	pure	ADJ
iajs-1825	55	3	&	&	CCONJ
iajs-1825	55	4	appl.sci	appl.sci	PROPN
iajs-1825	55	5	.	.	PUNCT
iajs-1825	56	1	ihjpas	ihjpas	PROPN
iajs-1825	56	2	 	 	SPACE
iajs-1825	56	3	https://doi.org/10.30526/32.1.1825	https://doi.org/10.30526/32.1.1825	PROPN
iajs-1825	56	4	vol	vol	NOUN
iajs-1825	56	5	.	.	PUNCT
iajs-1825	57	1	32	32	NUM
iajs-1825	57	2	(	(	PUNCT
iajs-1825	57	3	1	1	NUM
iajs-1825	57	4	)	)	SYM
iajs-1825	57	5	2019	2019	NUM
iajs-1825	57	6	substitute	substitute	NOUN
iajs-1825	57	7	equation	equation	NOUN
iajs-1825	57	8	(	(	PUNCT
iajs-1825	57	9	24	24	NUM
iajs-1825	57	10	)	)	PUNCT
iajs-1825	57	11	and	and	CCONJ
iajs-1825	57	12	(	(	PUNCT
iajs-1825	57	13	25	25	NUM
iajs-1825	57	14	)	)	PUNCT
iajs-1825	57	15	in	in	ADP
iajs-1825	57	16	equation	equation	NOUN
iajs-1825	57	17	(	(	PUNCT
iajs-1825	57	18	5	5	NUM
iajs-1825	57	19	)	)	PUNCT
iajs-1825	57	20	,	,	PUNCT
iajs-1825	57	21	then	then	ADV
iajs-1825	57	22	the	the	DET
iajs-1825	57	23	shrinkage	shrinkage	NOUN
iajs-1825	57	24	estimation	estimation	NOUN
iajs-1825	57	25	of	of	ADP
iajs-1825	57	26	r(s	r(s	PROPN
iajs-1825	57	27	,	,	PUNCT
iajs-1825	57	28	k	k	NOUN
iajs-1825	57	29	)	)	PUNCT
iajs-1825	57	30	based	base	VERB
iajs-1825	57	31	on	on	ADP
iajs-1825	57	32	modified	modify	VERB
iajs-1825	57	33	thompson	thompson	NOUN
iajs-1825	57	34	type	type	NOUN
iajs-1825	57	35	shrinkage	shrinkage	NOUN
iajs-1825	57	36	weight	weight	NOUN
iajs-1825	57	37	factor	factor	NOUN
iajs-1825	57	38	will	will	AUX
iajs-1825	57	39	be	be	AUX
iajs-1825	57	40	:	:	PUNCT
iajs-1825	57	41	𝑅	𝑅	PROPN
iajs-1825	57	42	,	,	PUNCT
iajs-1825	57	43	∑	∑	PROPN
iajs-1825	57	44	!	!	PUNCT
iajs-1825	57	45	!	!	PUNCT
iajs-1825	58	1	∏	∏	PROPN
iajs-1825	59	1	𝑘	𝑘	DET
iajs-1825	59	2	𝑗	𝑗	X
iajs-1825	59	3	;	;	PUNCT
iajs-1825	59	4	k	k	X
iajs-1825	59	5	,	,	PUNCT
iajs-1825	59	6	i	i	PRON
iajs-1825	59	7	,	,	PUNCT
iajs-1825	59	8	j	j	PROPN
iajs-1825	59	9	are	be	AUX
iajs-1825	59	10	integers	integer	NOUN
iajs-1825	59	11	(	(	PUNCT
iajs-1825	59	12	26	26	NUM
iajs-1825	59	13	)	)	PUNCT
iajs-1825	59	14	4	4	NUM
iajs-1825	59	15	.	.	X
iajs-1825	59	16	simulation	simulation	NOUN
iajs-1825	59	17	study	study	NOUN
iajs-1825	59	18	in	in	ADP
iajs-1825	59	19	this	this	DET
iajs-1825	59	20	section	section	NOUN
iajs-1825	59	21	,	,	PUNCT
iajs-1825	59	22	numerical	numerical	ADJ
iajs-1825	59	23	results	result	NOUN
iajs-1825	59	24	were	be	AUX
iajs-1825	59	25	studied	study	VERB
iajs-1825	59	26	to	to	PART
iajs-1825	59	27	compare	compare	VERB
iajs-1825	59	28	the	the	DET
iajs-1825	59	29	performance	performance	NOUN
iajs-1825	59	30	of	of	ADP
iajs-1825	59	31	the	the	DET
iajs-1825	59	32	suggested	suggest	VERB
iajs-1825	59	33	estimators	estimator	NOUN
iajs-1825	59	34	for𝑅	for𝑅	ADJ
iajs-1825	59	35	,	,	PUNCT
iajs-1825	59	36	,	,	PUNCT
iajs-1825	59	37	using	use	VERB
iajs-1825	59	38	different	different	ADJ
iajs-1825	59	39	sample	sample	NOUN
iajs-1825	59	40	size	size	NOUN
iajs-1825	59	41	n	n	PROPN
iajs-1825	59	42	and	and	CCONJ
iajs-1825	59	43	m	m	PROPN
iajs-1825	59	44	=	=	SYM
iajs-1825	59	45	(	(	PUNCT
iajs-1825	59	46	15	15	NUM
iajs-1825	59	47	,	,	PUNCT
iajs-1825	59	48	25	25	NUM
iajs-1825	59	49	,	,	PUNCT
iajs-1825	59	50	50	50	NUM
iajs-1825	59	51	and	and	CCONJ
iajs-1825	59	52	100	100	NUM
iajs-1825	59	53	)	)	PUNCT
iajs-1825	59	54	,	,	PUNCT
iajs-1825	59	55	based	base	VERB
iajs-1825	59	56	on	on	ADP
iajs-1825	59	57	1000	1000	NUM
iajs-1825	59	58	replication	replication	NOUN
iajs-1825	59	59	via	via	ADP
iajs-1825	59	60	mse	mse	NOUN
iajs-1825	59	61	criteria	criterion	NOUN
iajs-1825	59	62	.	.	PUNCT
iajs-1825	60	1	for	for	ADP
iajs-1825	60	2	this	this	DET
iajs-1825	60	3	purpose	purpose	NOUN
iajs-1825	60	4	,	,	PUNCT
iajs-1825	60	5	mote	mote	PROPN
iajs-1825	60	6	carlo	carlo	PROPN
iajs-1825	60	7	simulation	simulation	PROPN
iajs-1825	60	8	was	be	AUX
iajs-1825	60	9	employed	employ	VERB
iajs-1825	60	10	by	by	ADP
iajs-1825	60	11	generating	generate	VERB
iajs-1825	60	12	the	the	DET
iajs-1825	60	13	random	random	ADJ
iajs-1825	60	14	sample	sample	NOUN
iajs-1825	60	15	from	from	ADP
iajs-1825	60	16	continuous	continuous	ADJ
iajs-1825	60	17	uniform	uniform	ADJ
iajs-1825	60	18	distribution	distribution	NOUN
iajs-1825	60	19	defined	define	VERB
iajs-1825	60	20	on	on	ADP
iajs-1825	60	21	the	the	DET
iajs-1825	60	22	interval	interval	NOUN
iajs-1825	60	23	(	(	PUNCT
iajs-1825	60	24	0,1	0,1	NOUN
iajs-1825	60	25	)	)	PUNCT
iajs-1825	60	26	as	as	ADP
iajs-1825	60	27	u1,u2	u1,u2	PROPN
iajs-1825	60	28	,	,	PUNCT
iajs-1825	60	29	…	…	PUNCT
iajs-1825	60	30	,	,	PUNCT
iajs-1825	60	31	un	un	PROPN
iajs-1825	60	32	;	;	PUNCT
iajs-1825	60	33	v1	v1	NOUN
iajs-1825	60	34	,	,	PUNCT
iajs-1825	60	35	v2	v2	PROPN
iajs-1825	60	36	,	,	PUNCT
iajs-1825	60	37	…	…	PUNCT
iajs-1825	60	38	,	,	PUNCT
iajs-1825	60	39	vm	vm	PROPN
iajs-1825	60	40	.	.	PROPN
iajs-1825	60	41	transform	transform	VERB
iajs-1825	60	42	uniform	uniform	ADJ
iajs-1825	60	43	random	random	ADJ
iajs-1825	60	44	samples	sample	NOUN
iajs-1825	60	45	to	to	PART
iajs-1825	60	46	follow	follow	VERB
iajs-1825	60	47	epd	epd	PROPN
iajs-1825	60	48	(	(	PUNCT
iajs-1825	60	49	α	α	NOUN
iajs-1825	60	50	,	,	PUNCT
iajs-1825	60	51	λ	λ	NOUN
iajs-1825	60	52	)	)	PUNCT
iajs-1825	60	53	using	use	VERB
iajs-1825	60	54	(	(	PUNCT
iajs-1825	60	55	c.d.f	c.d.f	ADJ
iajs-1825	60	56	)	)	PUNCT
iajs-1825	60	57	as	as	ADP
iajs-1825	60	58	below	below	ADV
iajs-1825	60	59	,	,	PUNCT
iajs-1825	61	1	[	[	X
iajs-1825	61	2	8	8	NUM
iajs-1825	61	3	]	]	PUNCT
iajs-1825	61	4	:	:	PUNCT
iajs-1825	61	5	𝐹	𝐹	PROPN
iajs-1825	62	1	𝑥	𝑥	PROPN
iajs-1825	62	2	1	1	NUM
iajs-1825	62	3	1	1	NUM
iajs-1825	62	4	𝑥	𝑥	PROPN
iajs-1825	62	5	→	→	SYM
iajs-1825	62	6	𝑈	𝑈	NOUN
iajs-1825	62	7	1	1	NUM
iajs-1825	62	8	1	1	NUM
iajs-1825	62	9	𝑥	𝑥	PROPN
iajs-1825	62	10	→	→	SYM
iajs-1825	62	11	𝑥	𝑥	PROPN
iajs-1825	62	12	1	1	NUM
iajs-1825	62	13	𝑈	𝑈	PROPN
iajs-1825	62	14	1	1	NUM
iajs-1825	62	15	;	;	PUNCT
iajs-1825	62	16	i=1,2,	i=1,2,	NOUN
iajs-1825	62	17	…	…	X
iajs-1825	62	18	,n	,n	PUNCT
iajs-1825	62	19	.	.	PUNCT
iajs-1825	63	1	and	and	CCONJ
iajs-1825	63	2	by	by	ADP
iajs-1825	63	3	the	the	DET
iajs-1825	63	4	same	same	ADJ
iajs-1825	63	5	way	way	NOUN
iajs-1825	63	6	,	,	PUNCT
iajs-1825	63	7	calculate	calculate	NOUN
iajs-1825	63	8	𝑉	𝑉	PROPN
iajs-1825	63	9	to	to	PART
iajs-1825	63	10	obtain	obtain	VERB
iajs-1825	63	11	the	the	DET
iajs-1825	63	12	𝑦	𝑦	NOUN
iajs-1825	63	13	:	:	PUNCT
iajs-1825	63	14	𝑦	𝑦	SYM
iajs-1825	63	15	1	1	NUM
iajs-1825	63	16	𝑉	𝑉	PROPN
iajs-1825	63	17	1	1	NUM
iajs-1825	63	18	;	;	PUNCT
iajs-1825	63	19	j=1,2,	j=1,2,	NOUN
iajs-1825	63	20	…	…	SYM
iajs-1825	63	21	,m	,m	PUNCT
iajs-1825	63	22	.	.	PUNCT
iajs-1825	64	1	compute	compute	VERB
iajs-1825	64	2	the	the	DET
iajs-1825	64	3	real	real	ADJ
iajs-1825	64	4	value	value	NOUN
iajs-1825	64	5	of	of	ADP
iajs-1825	64	6	r(s	r(s	PROPN
iajs-1825	64	7	,	,	PUNCT
iajs-1825	64	8	k	k	NOUN
iajs-1825	64	9	)	)	PUNCT
iajs-1825	64	10	in	in	ADP
iajs-1825	64	11	equation	equation	NOUN
iajs-1825	64	12	(	(	PUNCT
iajs-1825	64	13	5	5	NUM
iajs-1825	64	14	)	)	PUNCT
iajs-1825	64	15	and	and	CCONJ
iajs-1825	64	16	the	the	DET
iajs-1825	64	17	value	value	NOUN
iajs-1825	64	18	of	of	ADP
iajs-1825	64	19	estimation	estimation	NOUN
iajs-1825	64	20	methods	method	NOUN
iajs-1825	64	21	of	of	ADP
iajs-1825	64	22	all	all	DET
iajs-1825	64	23	suggested	suggest	VERB
iajs-1825	64	24	methods	method	NOUN
iajs-1825	64	25	𝑅	𝑅	PROPN
iajs-1825	64	26	,	,	PUNCT
iajs-1825	64	27	,	,	PUNCT
iajs-1825	64	28	𝑅	𝑅	PROPN
iajs-1825	64	29	,	,	PUNCT
iajs-1825	64	30	,	,	PUNCT
iajs-1825	64	31	𝑅	𝑅	PROPN
iajs-1825	64	32	,	,	PUNCT
iajs-1825	64	33	and	and	CCONJ
iajs-1825	64	34	𝑅	𝑅	PROPN
iajs-1825	64	35	,	,	PUNCT
iajs-1825	64	36	in	in	ADP
iajs-1825	64	37	equations	equation	NOUN
iajs-1825	64	38	(	(	PUNCT
iajs-1825	64	39	12	12	NUM
iajs-1825	64	40	)	)	PUNCT
iajs-1825	64	41	,	,	PUNCT
iajs-1825	64	42	(	(	PUNCT
iajs-1825	64	43	18	18	NUM
iajs-1825	64	44	)	)	PUNCT
iajs-1825	64	45	,	,	PUNCT
iajs-1825	64	46	(	(	PUNCT
iajs-1825	64	47	21	21	NUM
iajs-1825	64	48	)	)	PUNCT
iajs-1825	64	49	and	and	CCONJ
iajs-1825	64	50	(	(	PUNCT
iajs-1825	64	51	26	26	NUM
iajs-1825	64	52	)	)	PUNCT
iajs-1825	64	53	respectively	respectively	ADV
iajs-1825	64	54	.	.	PUNCT
iajs-1825	65	1	based	base	VERB
iajs-1825	65	2	on	on	ADP
iajs-1825	65	3	(	(	PUNCT
iajs-1825	65	4	l=1000	l=1000	NOUN
iajs-1825	65	5	)	)	PUNCT
iajs-1825	65	6	replication	replication	NOUN
iajs-1825	65	7	,	,	PUNCT
iajs-1825	65	8	we	we	PRON
iajs-1825	65	9	calculate	calculate	VERB
iajs-1825	65	10	the	the	DET
iajs-1825	65	11	mse	mse	NOUN
iajs-1825	65	12	for	for	ADP
iajs-1825	65	13	all	all	DET
iajs-1825	65	14	proposed	propose	VERB
iajs-1825	65	15	estimation	estimation	NOUN
iajs-1825	65	16	methods	method	NOUN
iajs-1825	65	17	of	of	ADP
iajs-1825	65	18	r(s	r(s	PROPN
iajs-1825	65	19	,	,	PUNCT
iajs-1825	65	20	k	k	NOUN
iajs-1825	65	21	)	)	PUNCT
iajs-1825	65	22	as	as	SCONJ
iajs-1825	65	23	follows	follow	VERB
iajs-1825	65	24	:	:	PUNCT
iajs-1825	65	25	mse	mse	NOUN
iajs-1825	65	26	1	1	NUM
iajs-1825	65	27	𝐿	𝐿	PROPN
iajs-1825	65	28	𝑅	𝑅	PROPN
iajs-1825	65	29	,	,	PUNCT
iajs-1825	65	30	r	r	NOUN
iajs-1825	65	31	,	,	PUNCT
iajs-1825	65	32	where	where	SCONJ
iajs-1825	65	33	𝑅	𝑅	PROPN
iajs-1825	65	34	,	,	PUNCT
iajs-1825	65	35	refers	refer	VERB
iajs-1825	65	36	to	to	ADP
iajs-1825	65	37	the	the	DET
iajs-1825	65	38	proposed	propose	VERB
iajs-1825	65	39	estimators	estimator	NOUN
iajs-1825	65	40	of	of	ADP
iajs-1825	65	41	real	real	ADJ
iajs-1825	65	42	value	value	NOUN
iajs-1825	65	43	of	of	ADP
iajs-1825	65	44	r	r	NOUN
iajs-1825	65	45	,	,	PUNCT
iajs-1825	65	46	.	.	PUNCT
iajs-1825	66	1	all	all	DET
iajs-1825	66	2	the	the	DET
iajs-1825	66	3	results	result	NOUN
iajs-1825	66	4	are	be	AUX
iajs-1825	66	5	put	put	VERB
iajs-1825	66	6	on	on	ADP
iajs-1825	66	7	the	the	DET
iajs-1825	66	8	tables	table	NOUN
iajs-1825	66	9	listed	list	VERB
iajs-1825	66	10	below	below	ADV
iajs-1825	66	11	,	,	PUNCT
iajs-1825	66	12	noted	note	VERB
iajs-1825	66	13	that	that	SCONJ
iajs-1825	66	14	the	the	DET
iajs-1825	66	15	odd	odd	ADJ
iajs-1825	66	16	label	label	NOUN
iajs-1825	66	17	tables	table	NOUN
iajs-1825	66	18	(	(	PUNCT
iajs-1825	66	19	17	17	NUM
iajs-1825	66	20	)	)	PUNCT
iajs-1825	66	21	.	.	PUNCT
iajs-1825	67	1	contain	contain	VERB
iajs-1825	67	2	the	the	DET
iajs-1825	67	3	value	value	NOUN
iajs-1825	67	4	of	of	ADP
iajs-1825	67	5	real	real	ADJ
iajs-1825	67	6	reliability	reliability	NOUN
iajs-1825	67	7	r	r	NOUN
iajs-1825	67	8	,	,	PUNCT
iajs-1825	67	9	and	and	CCONJ
iajs-1825	67	10	the	the	DET
iajs-1825	67	11	value	value	NOUN
iajs-1825	67	12	of	of	ADP
iajs-1825	67	13	reliability	reliability	NOUN
iajs-1825	67	14	estimator	estimator	NOUN
iajs-1825	67	15	𝑅	𝑅	PROPN
iajs-1825	67	16	,	,	PUNCT
iajs-1825	67	17	for	for	ADP
iajs-1825	67	18	different	different	ADJ
iajs-1825	67	19	methods	method	NOUN
iajs-1825	67	20	when	when	SCONJ
iajs-1825	67	21	(	(	PUNCT
iajs-1825	67	22	s	s	X
iajs-1825	67	23	,	,	PUNCT
iajs-1825	67	24	k)=(2,3),(2,4	k)=(2,3),(2,4	NOUN
iajs-1825	67	25	)	)	PUNCT
iajs-1825	67	26	and	and	CCONJ
iajs-1825	67	27	(	(	PUNCT
iajs-1825	67	28	𝛼	𝛼	X
iajs-1825	67	29	,	,	PUNCT
iajs-1825	67	30	𝛽	𝛽	PRON
iajs-1825	67	31	=(	=(	NOUN
iajs-1825	67	32	2.5,4	2.5,4	NUM
iajs-1825	67	33	)	)	PUNCT
iajs-1825	67	34	and	and	CCONJ
iajs-1825	67	35	(	(	PUNCT
iajs-1825	67	36	4,2.5	4,2.5	NOUN
iajs-1825	67	37	)	)	PUNCT
iajs-1825	67	38	and	and	CCONJ
iajs-1825	67	39	(	(	PUNCT
iajs-1825	67	40	𝛼	𝛼	INTJ
iajs-1825	67	41	,	,	PUNCT
iajs-1825	67	42	𝛽	𝛽	NOUN
iajs-1825	67	43	)	)	PUNCT
iajs-1825	67	44	=	=	PUNCT
iajs-1825	67	45	(	(	PUNCT
iajs-1825	67	46	𝛼	𝛼	NOUN
iajs-1825	67	47	0.001	0.001	NUM
iajs-1825	67	48	,	,	PUNCT
iajs-1825	67	49	𝛽	𝛽	NOUN
iajs-1825	67	50	0.001	0.001	NUM
iajs-1825	67	51	)	)	PUNCT
iajs-1825	67	52	.	.	PUNCT
iajs-1825	68	1	and	and	CCONJ
iajs-1825	68	2	the	the	DET
iajs-1825	68	3	even	even	ADJ
iajs-1825	68	4	label	label	NOUN
iajs-1825	68	5	tables	table	NOUN
iajs-1825	68	6	(	(	PUNCT
iajs-1825	68	7	2	2	NUM
iajs-1825	68	8	-	-	SYM
iajs-1825	68	9	8)	8)	NUM
iajs-1825	68	10	contain	contain	VERB
iajs-1825	68	11	the	the	DET
iajs-1825	68	12	value	value	NOUN
iajs-1825	68	13	of	of	ADP
iajs-1825	68	14	mse	mse	NOUN
iajs-1825	68	15	for	for	ADP
iajs-1825	68	16	the	the	DET
iajs-1825	68	17	reliability	reliability	NOUN
iajs-1825	68	18	estimator𝑅	estimator𝑅	PROPN
iajs-1825	68	19	,	,	PUNCT
iajs-1825	68	20	for	for	ADP
iajs-1825	68	21	different	different	ADJ
iajs-1825	68	22	methods	method	NOUN
iajs-1825	68	23	when	when	SCONJ
iajs-1825	68	24	(	(	PUNCT
iajs-1825	68	25	s	s	X
iajs-1825	68	26	,	,	PUNCT
iajs-1825	68	27	k)=(2,3),(2,4	k)=(2,3),(2,4	NOUN
iajs-1825	68	28	)	)	PUNCT
iajs-1825	68	29	and	and	CCONJ
iajs-1825	68	30	(	(	PUNCT
iajs-1825	68	31	𝛼	𝛼	X
iajs-1825	68	32	,	,	PUNCT
iajs-1825	68	33	𝛽	𝛽	PRON
iajs-1825	68	34	=(	=(	NOUN
iajs-1825	68	35	2.5,4	2.5,4	NUM
iajs-1825	68	36	)	)	PUNCT
iajs-1825	68	37	and	and	CCONJ
iajs-1825	68	38	(	(	PUNCT
iajs-1825	68	39	4,2.5	4,2.5	NOUN
iajs-1825	68	40	)	)	PUNCT
iajs-1825	68	41	and	and	CCONJ
iajs-1825	68	42	(	(	PUNCT
iajs-1825	68	43	𝛼	𝛼	INTJ
iajs-1825	68	44	,	,	PUNCT
iajs-1825	68	45	𝛽	𝛽	NOUN
iajs-1825	68	46	)	)	PUNCT
iajs-1825	68	47	=(	=(	NOUN
iajs-1825	68	48	𝛼	𝛼	NOUN
iajs-1825	68	49	0.001	0.001	NUM
iajs-1825	68	50	,	,	PUNCT
iajs-1825	68	51	𝛽	𝛽	NOUN
iajs-1825	68	52	0.001	0.001	NUM
iajs-1825	68	53	)	)	PUNCT
iajs-1825	68	54	.	.	PUNCT
iajs-1825	68	55	    	    	SPACE
iajs-1825	69	1	152	152	NUM
iajs-1825	69	2	ibn	ibn	PROPN
iajs-1825	69	3	al	al	PROPN
iajs-1825	69	4	-	-	PUNCT
iajs-1825	69	5	haitham	haitham	PROPN
iajs-1825	69	6	jour	jour	X
iajs-1825	69	7	.	.	PROPN
iajs-1825	69	8	for	for	ADP
iajs-1825	69	9	pure	pure	ADJ
iajs-1825	69	10	&	&	CCONJ
iajs-1825	69	11	appl.sci	appl.sci	PROPN
iajs-1825	69	12	.	.	PUNCT
iajs-1825	69	13	ihjpas	ihjpas	PROPN
iajs-1825	69	14	 	 	SPACE
iajs-1825	69	15	https://doi.org/10.30526/32.1.1825	https://doi.org/10.30526/32.1.1825	PROPN
iajs-1825	69	16	vol	vol	NOUN
iajs-1825	69	17	.	.	PUNCT
iajs-1825	70	1	32	32	NUM
iajs-1825	70	2	(	(	PUNCT
iajs-1825	70	3	1	1	NUM
iajs-1825	70	4	)	)	SYM
iajs-1825	70	5	2019	2019	NUM
iajs-1825	70	6	table	table	NOUN
iajs-1825	70	7	1	1	NUM
iajs-1825	70	8	.	.	PUNCT
iajs-1825	70	9	shows	show	VERB
iajs-1825	70	10	𝑅	𝑅	PROPN
iajs-1825	70	11	,	,	PUNCT
iajs-1825	70	12	for	for	ADP
iajs-1825	70	13	(	(	PUNCT
iajs-1825	70	14	s	s	PROPN
iajs-1825	70	15	,	,	PUNCT
iajs-1825	70	16	k)=(2,3	k)=(2,3	ADJ
iajs-1825	70	17	)	)	PUNCT
iajs-1825	70	18	,	,	PUNCT
iajs-1825	70	19	α=2.5,β=4	α=2.5,β=4	NUM
iajs-1825	70	20	&	&	CCONJ
iajs-1825	70	21	λ=2	λ=2	X
iajs-1825	70	22	when	when	SCONJ
iajs-1825	70	23	𝑅	𝑅	PROPN
iajs-1825	70	24	,	,	PUNCT
iajs-1825	70	25	0.36232	0.36232	NUM
iajs-1825	70	26	,	,	PUNCT
iajs-1825	70	27	.	.	PUNCT
iajs-1825	71	1	(	(	PUNCT
iajs-1825	71	2	n	n	CCONJ
iajs-1825	71	3	,	,	PUNCT
iajs-1825	71	4	m	m	NOUN
iajs-1825	71	5	)	)	PUNCT
iajs-1825	71	6	𝑹	𝑹	NOUN
iajs-1825	71	7	𝒔,𝒌	𝒔,𝒌	INTJ
iajs-1825	71	8	𝑴𝑳𝑬	𝑴𝑳𝑬	NOUN
iajs-1825	71	9	𝑹	𝑹	NOUN
iajs-1825	71	10	𝒔,𝒌	𝒔,𝒌	VERB
iajs-1825	72	1	𝒔𝒉𝟏	𝒔𝒉𝟏	NOUN
iajs-1825	72	2	𝑹	𝑹	NOUN
iajs-1825	72	3	𝒔,𝒌	𝒔,𝒌	INTJ
iajs-1825	73	1	𝒔𝒉𝟐	𝒔𝒉𝟐	ADV
iajs-1825	73	2	𝑹	𝑹	VERB
iajs-1825	73	3	𝒔,𝒌	𝒔,𝒌	PUNCT
iajs-1825	74	1	𝑻𝒉	𝑻𝒉	PROPN
iajs-1825	74	2	(	(	PUNCT
iajs-1825	74	3	15,15	15,15	NUM
iajs-1825	74	4	)	)	PUNCT
iajs-1825	74	5	0.37128	0.37128	NUM
iajs-1825	74	6	0.36262	0.36262	NUM
iajs-1825	74	7	0.36297	0.36297	NUM
iajs-1825	74	8	0.36237	0.36237	NUM
iajs-1825	74	9	(	(	PUNCT
iajs-1825	74	10	15,25	15,25	NUM
iajs-1825	74	11	)	)	PUNCT
iajs-1825	74	12	0.36447	0.36447	NUM
iajs-1825	74	13	0.36214	0.36214	NUM
iajs-1825	74	14	0.36193	0.36193	NUM
iajs-1825	74	15	0.36236	0.36236	NUM
iajs-1825	74	16	(	(	PUNCT
iajs-1825	74	17	15,50	15,50	NUM
iajs-1825	74	18	)	)	PUNCT
iajs-1825	74	19	0.37216	0.37216	NUM
iajs-1825	74	20	0.36244	0.36244	NUM
iajs-1825	74	21	0.36245	0.36245	NUM
iajs-1825	74	22	0.36236	0.36236	NUM
iajs-1825	74	23	(	(	PUNCT
iajs-1825	74	24	15,100	15,100	NUM
iajs-1825	74	25	)	)	PUNCT
iajs-1825	74	26	0.37221	0.37221	NUM
iajs-1825	74	27	0.36231	0.36231	NUM
iajs-1825	74	28	0.36224	0.36224	NUM
iajs-1825	74	29	0.36236	0.36236	NUM
iajs-1825	74	30	(	(	PUNCT
iajs-1825	74	31	25,15	25,15	NUM
iajs-1825	74	32	)	)	PUNCT
iajs-1825	74	33	0.36163	0.36163	NUM
iajs-1825	74	34	0.36240	0.36240	NUM
iajs-1825	74	35	0.36253	0.36253	NUM
iajs-1825	74	36	0.36236	0.36236	NUM
iajs-1825	74	37	(	(	PUNCT
iajs-1825	74	38	25,25	25,25	ADJ
iajs-1825	74	39	)	)	PUNCT
iajs-1825	74	40	0.36432	0.36432	NUM
iajs-1825	74	41	0.36236	0.36236	NUM
iajs-1825	74	42	0.36235	0.36235	NUM
iajs-1825	74	43	0.36236	0.36236	NUM
iajs-1825	74	44	(	(	PUNCT
iajs-1825	74	45	25,50	25,50	NUM
iajs-1825	74	46	)	)	PUNCT
iajs-1825	74	47	0.37004	0.37004	NUM
iajs-1825	74	48	0.36238	0.36238	NUM
iajs-1825	74	49	0.36272	0.36272	NUM
iajs-1825	74	50	0.36236	0.36236	NUM
iajs-1825	74	51	(	(	PUNCT
iajs-1825	74	52	25,100	25,100	NUM
iajs-1825	74	53	)	)	PUNCT
iajs-1825	74	54	0.36997	0.36997	NUM
iajs-1825	74	55	0.36237	0.36237	NUM
iajs-1825	74	56	0.36253	0.36253	NUM
iajs-1825	74	57	0.36236	0.36236	NUM
iajs-1825	74	58	(	(	PUNCT
iajs-1825	74	59	50,15	50,15	NUM
iajs-1825	74	60	)	)	PUNCT
iajs-1825	74	61	0.35514	0.35514	NUM
iajs-1825	75	1	0.36228	0.36228	NUM
iajs-1825	75	2	0.36217	0.36217	NUM
iajs-1825	75	3	0.36236	0.36236	NUM
iajs-1825	75	4	(	(	PUNCT
iajs-1825	75	5	50,25	50,25	NUM
iajs-1825	75	6	)	)	PUNCT
iajs-1825	75	7	0.35773	0.35773	NUM
iajs-1825	76	1	0.36234	0.36234	NUM
iajs-1825	76	2	0.36203	0.36203	NUM
iajs-1825	76	3	0.36236	0.36236	NUM
iajs-1825	76	4	(	(	PUNCT
iajs-1825	76	5	50,50	50,50	NUM
iajs-1825	76	6	)	)	PUNCT
iajs-1825	76	7	0.36239	0.36239	NUM
iajs-1825	76	8	0.36236	0.36236	NUM
iajs-1825	76	9	0.36228	0.36228	NUM
iajs-1825	76	10	0.36236	0.36236	NUM
iajs-1825	76	11	(	(	PUNCT
iajs-1825	76	12	50,100	50,100	NUM
iajs-1825	76	13	)	)	PUNCT
iajs-1825	76	14	0.36249	0.36249	NUM
iajs-1825	76	15	0.36235	0.36235	NUM
iajs-1825	76	16	0.36213	0.36213	NUM
iajs-1825	76	17	0.36236	0.36236	NUM
iajs-1825	76	18	(	(	PUNCT
iajs-1825	76	19	100,15	100,15	NUM
iajs-1825	76	20	)	)	PUNCT
iajs-1825	76	21	0.35464	0.35464	NUM
iajs-1825	76	22	0.36229	0.36229	NUM
iajs-1825	76	23	0.36224	0.36224	NUM
iajs-1825	76	24	0.36236	0.36236	NUM
iajs-1825	76	25	(	(	PUNCT
iajs-1825	76	26	100,25	100,25	NUM
iajs-1825	76	27	)	)	PUNCT
iajs-1825	76	28	0.35810	0.35810	NUM
iajs-1825	76	29	0.36235	0.36235	NUM
iajs-1825	76	30	0.36228	0.36228	NUM
iajs-1825	76	31	0.36236	0.36236	NUM
iajs-1825	76	32	(	(	PUNCT
iajs-1825	76	33	100,50	100,50	NUM
iajs-1825	76	34	)	)	PUNCT
iajs-1825	76	35	0.35886	0.35886	NUM
iajs-1825	77	1	0.36235	0.36235	NUM
iajs-1825	77	2	0.36208	0.36208	NUM
iajs-1825	77	3	0.36236	0.36236	NUM
iajs-1825	77	4	(	(	PUNCT
iajs-1825	77	5	100,100	100,100	NUM
iajs-1825	77	6	)	)	PUNCT
iajs-1825	77	7	0.36441	0.36441	NUM
iajs-1825	77	8	0.36237	0.36237	NUM
iajs-1825	77	9	0.36252	0.36252	NUM
iajs-1825	77	10	0.36236	0.36236	NUM
iajs-1825	77	11	table	table	NOUN
iajs-1825	77	12	2	2	NUM
iajs-1825	77	13	.	.	PUNCT
iajs-1825	77	14	shows	show	VERB
iajs-1825	77	15	mse	mse	PROPN
iajs-1825	77	16	of	of	ADP
iajs-1825	77	17	𝑅	𝑅	PROPN
iajs-1825	77	18	,	,	PUNCT
iajs-1825	77	19	for	for	ADP
iajs-1825	77	20	(	(	PUNCT
iajs-1825	77	21	s	s	PROPN
iajs-1825	77	22	,	,	PUNCT
iajs-1825	77	23	k)=(2,3	k)=(2,3	ADJ
iajs-1825	77	24	)	)	PUNCT
iajs-1825	77	25	,	,	PUNCT
iajs-1825	77	26	α=2.5,β=4	α=2.5,β=4	NUM
iajs-1825	77	27	&	&	CCONJ
iajs-1825	77	28	λ=2	λ=2	X
iajs-1825	77	29	when	when	SCONJ
iajs-1825	77	30	𝑅	𝑅	PROPN
iajs-1825	77	31	,	,	PUNCT
iajs-1825	77	32	0.36232	0.36232	NUM
iajs-1825	77	33	.	.	PUNCT
iajs-1825	78	1	(	(	PUNCT
iajs-1825	78	2	n	n	CCONJ
iajs-1825	78	3	,	,	PUNCT
iajs-1825	78	4	m	m	NOUN
iajs-1825	78	5	)	)	PUNCT
iajs-1825	78	6	𝑹	𝑹	NOUN
iajs-1825	78	7	𝒔,𝒌	𝒔,𝒌	INTJ
iajs-1825	79	1	𝑴𝑳𝑬	𝑴𝑳𝑬	NOUN
iajs-1825	79	2	𝑹	𝑹	NOUN
iajs-1825	80	1	𝒔,𝒌	𝒔,𝒌	VERB
iajs-1825	80	2	𝒔𝒉𝟏	𝒔𝒉𝟏	NOUN
iajs-1825	81	1	𝑹	𝑹	NOUN
iajs-1825	81	2	𝒔,𝒌	𝒔,𝒌	INTJ
iajs-1825	81	3	𝒔𝒉𝟐	𝒔𝒉𝟐	ADV
iajs-1825	81	4	𝑹	𝑹	VERB
iajs-1825	81	5	𝒔,𝒌	𝒔,𝒌	PUNCT
iajs-1825	82	1	𝑻𝒉	𝑻𝒉	ADV
iajs-1825	82	2	best	good	ADJ
iajs-1825	82	3	(	(	PUNCT
iajs-1825	82	4	15,15	15,15	ADJ
iajs-1825	82	5	)	)	PUNCT
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iajs-1825	86	6	(	(	PUNCT
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iajs-1825	86	22	(	(	PUNCT
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iajs-1825	86	24	)	)	PUNCT
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iajs-1825	86	30	(	(	PUNCT
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iajs-1825	86	38	(	(	PUNCT
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iajs-1825	87	2	(	(	PUNCT
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iajs-1825	87	4	)	)	PUNCT
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iajs-1825	87	17	th	th	VERB
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iajs-1825	87	28	.	.	PROPN
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iajs-1825	88	3	&	&	CCONJ
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iajs-1825	88	5	.	.	PUNCT
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iajs-1825	89	2	 	 	SPACE
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iajs-1825	89	5	.	.	PUNCT
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iajs-1825	90	2	(	(	PUNCT
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iajs-1825	90	16	k)=(2,4	k)=(2,4	PROPN
iajs-1825	90	17	)	)	PUNCT
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iajs-1825	90	19	&	&	CCONJ
iajs-1825	90	20	λ=2when	λ=2when	ADV
iajs-1825	90	21	𝑅	𝑅	PROPN
iajs-1825	90	22	,	,	PUNCT
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iajs-1825	90	24	.	.	PUNCT
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iajs-1825	91	3	,	,	PUNCT
iajs-1825	91	4	m	m	NOUN
iajs-1825	91	5	)	)	PUNCT
iajs-1825	91	6	𝑹	𝑹	NOUN
iajs-1825	91	7	𝒔,𝒌	𝒔,𝒌	INTJ
iajs-1825	92	1	𝑴𝑳𝑬	𝑴𝑳𝑬	NOUN
iajs-1825	92	2	𝑹	𝑹	NOUN
iajs-1825	93	1	𝒔,𝒌	𝒔,𝒌	VERB
iajs-1825	93	2	𝒔𝒉𝟏	𝒔𝒉𝟏	NOUN
iajs-1825	94	1	𝑹	𝑹	NOUN
iajs-1825	94	2	𝒔,𝒌	𝒔,𝒌	INTJ
iajs-1825	94	3	𝒔𝒉𝟐	𝒔𝒉𝟐	ADV
iajs-1825	94	4	𝑹	𝑹	VERB
iajs-1825	94	5	𝒔,𝒌	𝒔,𝒌	PUNCT
iajs-1825	95	1	𝑻𝒉	𝑻𝒉	PROPN
iajs-1825	95	2	(	(	PUNCT
iajs-1825	95	3	15,15	15,15	NOUN
iajs-1825	95	4	)	)	PUNCT
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iajs-1825	95	9	(	(	PUNCT
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iajs-1825	96	5	(	(	PUNCT
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iajs-1825	96	7	)	)	PUNCT
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iajs-1825	97	3	0.46588	0.46588	NUM
iajs-1825	97	4	(	(	PUNCT
iajs-1825	97	5	15,100	15,100	NUM
iajs-1825	97	6	)	)	PUNCT
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iajs-1825	98	3	0.46588	0.46588	NUM
iajs-1825	98	4	(	(	PUNCT
iajs-1825	98	5	25,15	25,15	NUM
iajs-1825	98	6	)	)	PUNCT
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iajs-1825	98	10	0.46588	0.46588	NUM
iajs-1825	98	11	(	(	PUNCT
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iajs-1825	98	13	)	)	PUNCT
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iajs-1825	98	15	0.46588	0.46588	NUM
iajs-1825	98	16	0.46589	0.46589	NUM
iajs-1825	98	17	0.46588	0.46588	NUM
iajs-1825	98	18	(	(	PUNCT
iajs-1825	98	19	25,50	25,50	NUM
iajs-1825	98	20	)	)	PUNCT
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iajs-1825	98	22	0.46588	0.46588	NUM
iajs-1825	98	23	0.46577	0.46577	NUM
iajs-1825	98	24	0.46588	0.46588	NUM
iajs-1825	98	25	(	(	PUNCT
iajs-1825	98	26	25,100	25,100	NUM
iajs-1825	98	27	)	)	PUNCT
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iajs-1825	98	29	0.46588	0.46588	NUM
iajs-1825	98	30	0.46589	0.46589	NUM
iajs-1825	98	31	0.46588	0.46588	NUM
iajs-1825	98	32	(	(	PUNCT
iajs-1825	98	33	50,15	50,15	NUM
iajs-1825	98	34	)	)	PUNCT
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iajs-1825	98	36	0.46605	0.46605	NUM
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iajs-1825	98	39	(	(	PUNCT
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iajs-1825	98	41	)	)	PUNCT
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iajs-1825	98	43	0.46589	0.46589	NUM
iajs-1825	98	44	0.46609	0.46609	NUM
iajs-1825	98	45	0.46589	0.46589	NUM
iajs-1825	98	46	(	(	PUNCT
iajs-1825	98	47	50,50	50,50	NUM
iajs-1825	98	48	)	)	PUNCT
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iajs-1825	98	50	0.46589	0.46589	NUM
iajs-1825	98	51	0.46593	0.46593	NUM
iajs-1825	98	52	0.46588	0.46588	NUM
iajs-1825	98	53	(	(	PUNCT
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iajs-1825	98	55	)	)	PUNCT
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iajs-1825	100	4	(	(	PUNCT
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iajs-1825	100	6	)	)	PUNCT
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iajs-1825	101	3	0.46588	0.46588	NUM
iajs-1825	101	4	(	(	PUNCT
iajs-1825	101	5	100,50	100,50	NUM
iajs-1825	101	6	)	)	PUNCT
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iajs-1825	101	8	0.46589	0.46589	NUM
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iajs-1825	101	10	0.46588	0.46588	NUM
iajs-1825	101	11	(	(	PUNCT
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iajs-1825	101	13	)	)	PUNCT
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iajs-1825	101	21	shows	show	VERB
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iajs-1825	101	23	of𝑅	of𝑅	PROPN
iajs-1825	101	24	,	,	PUNCT
iajs-1825	101	25	for(s	for(s	PROPN
iajs-1825	101	26	,	,	PUNCT
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iajs-1825	101	31	&	&	CCONJ
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iajs-1825	101	33	when𝑅	when𝑅	PROPN
iajs-1825	101	34	,	,	PUNCT
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iajs-1825	101	36	.	.	PUNCT
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iajs-1825	103	1	𝑴𝑳𝑬	𝑴𝑳𝑬	NOUN
iajs-1825	103	2	𝑹	𝑹	NOUN
iajs-1825	104	1	𝒔,𝒌	𝒔,𝒌	VERB
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iajs-1825	105	1	𝑹	𝑹	NOUN
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iajs-1825	105	4	𝑹	𝑹	VERB
iajs-1825	105	5	𝒔,𝒌	𝒔,𝒌	PUNCT
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iajs-1825	107	2	(	(	PUNCT
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iajs-1825	108	51	th	th	X
iajs-1825	108	52	(	(	PUNCT
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iajs-1825	111	5	.	.	PUNCT
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iajs-1825	112	4	)	)	SYM
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iajs-1825	112	17	)	)	PUNCT
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iajs-1825	113	3	,	,	PUNCT
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iajs-1825	113	5	)	)	PUNCT
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iajs-1825	116	1	𝑹	𝑹	NOUN
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iajs-1825	116	4	𝑹	𝑹	VERB
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iajs-1825	117	16	(	(	PUNCT
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iajs-1825	117	23	(	(	PUNCT
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iajs-1825	120	3	(	(	PUNCT
iajs-1825	120	4	25,50	25,50	NUM
iajs-1825	120	5	)	)	PUNCT
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iajs-1825	120	10	(	(	PUNCT
iajs-1825	120	11	25,100	25,100	NUM
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iajs-1825	120	17	(	(	PUNCT
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iajs-1825	120	24	(	(	PUNCT
iajs-1825	120	25	50,25	50,25	NUM
iajs-1825	120	26	)	)	PUNCT
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iajs-1825	121	3	0.63050	0.63050	NUM
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iajs-1825	121	5	(	(	PUNCT
iajs-1825	121	6	50,50	50,50	NUM
iajs-1825	121	7	)	)	PUNCT
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iajs-1825	121	9	0.63049	0.63049	NUM
iajs-1825	121	10	0.63042	0.63042	NUM
iajs-1825	121	11	0.63050	0.63050	NUM
iajs-1825	121	12	(	(	PUNCT
iajs-1825	121	13	50,100	50,100	NUM
iajs-1825	121	14	)	)	PUNCT
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iajs-1825	121	16	0.63049	0.63049	NUM
iajs-1825	121	17	0.63036	0.63036	NUM
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iajs-1825	121	19	(	(	PUNCT
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iajs-1825	121	24	0.63038	0.63038	NUM
iajs-1825	121	25	0.63050	0.63050	NUM
iajs-1825	121	26	(	(	PUNCT
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iajs-1825	122	30	𝑅	𝑅	PROPN
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iajs-1825	128	5	.	.	PUNCT
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iajs-1825	130	4	)	)	SYM
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iajs-1825	130	19	,	,	PUNCT
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iajs-1825	130	21	&	&	CCONJ
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iajs-1825	130	25	,	,	PUNCT
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iajs-1825	131	3	,	,	PUNCT
iajs-1825	131	4	m	m	NOUN
iajs-1825	131	5	)	)	PUNCT
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iajs-1825	132	1	𝑴𝑳𝑬	𝑴𝑳𝑬	NOUN
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iajs-1825	133	1	𝒔,𝒌	𝒔,𝒌	VERB
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iajs-1825	134	1	𝑹	𝑹	NOUN
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iajs-1825	134	4	𝑹	𝑹	VERB
iajs-1825	134	5	𝒔,𝒌	𝒔,𝒌	PUNCT
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iajs-1825	136	4	(	(	PUNCT
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iajs-1825	137	4	(	(	PUNCT
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iajs-1825	137	6	)	)	PUNCT
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iajs-1825	137	18	(	(	PUNCT
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iajs-1825	137	20	)	)	PUNCT
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iajs-1825	137	23	0.71589	0.71589	NUM
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iajs-1825	137	25	(	(	PUNCT
iajs-1825	137	26	25,25	25,25	ADJ
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iajs-1825	137	32	(	(	PUNCT
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iajs-1825	137	34	)	)	PUNCT
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iajs-1825	138	1	0.71572	0.71572	NUM
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iajs-1825	138	3	0.71572	0.71572	NUM
iajs-1825	138	4	(	(	PUNCT
iajs-1825	138	5	25,100	25,100	NUM
iajs-1825	138	6	)	)	PUNCT
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iajs-1825	138	9	0.71583	0.71583	NUM
iajs-1825	138	10	0.71572	0.71572	NUM
iajs-1825	138	11	(	(	PUNCT
iajs-1825	138	12	50,15	50,15	NUM
iajs-1825	138	13	)	)	PUNCT
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iajs-1825	139	4	(	(	PUNCT
iajs-1825	139	5	50,25	50,25	NUM
iajs-1825	139	6	)	)	PUNCT
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iajs-1825	139	8	0.71573	0.71573	NUM
iajs-1825	139	9	0.71592	0.71592	NUM
iajs-1825	139	10	0.71572	0.71572	NUM
iajs-1825	139	11	(	(	PUNCT
iajs-1825	139	12	50,50	50,50	NUM
iajs-1825	139	13	)	)	PUNCT
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iajs-1825	139	15	0.71572	0.71572	NUM
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iajs-1825	139	18	(	(	PUNCT
iajs-1825	139	19	50,100	50,100	NUM
iajs-1825	139	20	)	)	PUNCT
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iajs-1825	139	25	(	(	PUNCT
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iajs-1825	139	31	0.71572	0.71572	NUM
iajs-1825	139	32	(	(	PUNCT
iajs-1825	139	33	100,25	100,25	NUM
iajs-1825	139	34	)	)	PUNCT
iajs-1825	139	35	0.70971	0.70971	NUM
iajs-1825	139	36	0.71572	0.71572	NUM
iajs-1825	139	37	0.71575	0.71575	NUM
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iajs-1825	139	39	(	(	PUNCT
iajs-1825	139	40	100,50	100,50	NUM
iajs-1825	139	41	)	)	PUNCT
iajs-1825	140	1	0.71124	0.71124	NUM
iajs-1825	141	1	0.71571	0.71571	NUM
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iajs-1825	141	4	(	(	PUNCT
iajs-1825	141	5	100,100	100,100	NUM
iajs-1825	141	6	)	)	PUNCT
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iajs-1825	141	29	𝑅	𝑅	PROPN
iajs-1825	141	30	,	,	PUNCT
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iajs-1825	144	1	𝒔,𝒌	𝒔,𝒌	VERB
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iajs-1825	145	4	𝑹	𝑹	VERB
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iajs-1825	148	17	0.00306	0.00306	NUM
iajs-1825	148	18	0.90e-7	0.90e-7	NUM
iajs-1825	148	19	0.00003	0.00003	NUM
iajs-1825	148	20	0.24e-8	0.24e-8	SYM
iajs-1825	148	21	th	th	X
iajs-1825	148	22	(	(	PUNCT
iajs-1825	148	23	50,50	50,50	NUM
iajs-1825	148	24	)	)	PUNCT
iajs-1825	148	25	0.00185	0.00185	NUM
iajs-1825	148	26	0.52e-7	0.52e-7	NUM
iajs-1825	148	27	0.00002	0.00002	NUM
iajs-1825	148	28	0.20e-8	0.20e-8	NOUN
iajs-1825	148	29	th	th	X
iajs-1825	148	30	(	(	PUNCT
iajs-1825	148	31	50,100	50,100	NUM
iajs-1825	148	32	)	)	PUNCT
iajs-1825	148	33	0.00140	0.00140	NUM
iajs-1825	148	34	0.40e-7	0.40e-7	ADJ
iajs-1825	148	35	0.00001	0.00001	NUM
iajs-1825	148	36	0.17e-8	0.17e-8	NUM
iajs-1825	148	37	th	th	X
iajs-1825	148	38	(	(	PUNCT
iajs-1825	148	39	100,15	100,15	NUM
iajs-1825	148	40	)	)	PUNCT
iajs-1825	148	41	0.00425	0.00425	NUM
iajs-1825	148	42	0.75e-5	0.75e-5	NOUN
iajs-1825	148	43	0.00004	0.00004	NUM
iajs-1825	148	44	0.30e-8	0.30e-8	NOUN
iajs-1825	148	45	th	th	X
iajs-1825	148	46	(	(	PUNCT
iajs-1825	148	47	100,25	100,25	NUM
iajs-1825	148	48	)	)	PUNCT
iajs-1825	148	49	0.00251	0.00251	NUM
iajs-1825	148	50	0.71e-7	0.71e-7	NOUN
iajs-1825	148	51	0.00003	0.00003	NUM
iajs-1825	148	52	0.22e-8	0.22e-8	X
iajs-1825	148	53	th	th	X
iajs-1825	148	54	(	(	PUNCT
iajs-1825	148	55	100,50	100,50	NUM
iajs-1825	148	56	)	)	PUNCT
iajs-1825	148	57	0.00147	0.00147	NUM
iajs-1825	148	58	0.41e-7	0.41e-7	ADJ
iajs-1825	148	59	0.00001	0.00001	NUM
iajs-1825	148	60	0.18e-8	0.18e-8	NOUN
iajs-1825	148	61	th	th	X
iajs-1825	148	62	(	(	PUNCT
iajs-1825	148	63	100,100	100,100	NUM
iajs-1825	148	64	)	)	PUNCT
iajs-1825	148	65	0.00105	0.00105	NUM
iajs-1825	148	66	0.28e-7	0.28e-7	NOUN
iajs-1825	148	67	0.00001	0.00001	NUM
iajs-1825	148	68	0.15e-8	0.15e-8	NOUN
iajs-1825	148	69	th	th	PRON
iajs-1825	148	70	5	5	NUM
iajs-1825	148	71	.	.	PUNCT
iajs-1825	149	1	discussion	discussion	PROPN
iajs-1825	149	2	numerical	numerical	PROPN
iajs-1825	149	3	simulation	simulation	PROPN
iajs-1825	149	4	results	result	VERB
iajs-1825	149	5	from	from	ADP
iajs-1825	149	6	the	the	DET
iajs-1825	149	7	tables	table	NOUN
iajs-1825	149	8	above	above	ADV
iajs-1825	149	9	,	,	PUNCT
iajs-1825	149	10	for	for	ADP
iajs-1825	149	11	all	all	DET
iajs-1825	149	12	n=(15,25,50,100	n=(15,25,50,100	NUM
iajs-1825	149	13	)	)	PUNCT
iajs-1825	149	14	and	and	CCONJ
iajs-1825	149	15	m=(15,25,50,100	m=(15,25,50,100	NOUN
iajs-1825	149	16	)	)	PUNCT
iajs-1825	149	17	we	we	PRON
iajs-1825	149	18	conclude	conclude	VERB
iajs-1825	149	19	that	that	SCONJ
iajs-1825	149	20	,	,	PUNCT
iajs-1825	149	21	the	the	DET
iajs-1825	149	22	shrinkage	shrinkage	NOUN
iajs-1825	149	23	estimator	estimator	NOUN
iajs-1825	149	24	using	use	VERB
iajs-1825	149	25	modified	modify	VERB
iajs-1825	149	26	thompson	thompson	NOUN
iajs-1825	149	27	type	type	NOUN
iajs-1825	149	28	shrinkage	shrinkage	NOUN
iajs-1825	149	29	weight	weight	NOUN
iajs-1825	149	30	factor	factor	NOUN
iajs-1825	149	31	to	to	PART
iajs-1825	149	32	estimate	estimate	VERB
iajs-1825	149	33	the	the	DET
iajs-1825	149	34	reliability	reliability	NOUN
iajs-1825	149	35	𝑅	𝑅	PROPN
iajs-1825	149	36	,	,	PUNCT
iajs-1825	149	37	is	be	AUX
iajs-1825	149	38	the	the	DET
iajs-1825	149	39	bestsince	bestsince	NOUN
iajs-1825	149	40	the	the	DET
iajs-1825	149	41	(	(	PUNCT
iajs-1825	149	42	mse)of	mse)of	ADJ
iajs-1825	149	43	rth(s	rth(s	PROPN
iajs-1825	149	44	,	,	PUNCT
iajs-1825	149	45	k	k	NOUN
iajs-1825	149	46	)	)	PUNCT
iajs-1825	149	47	was	be	AUX
iajs-1825	149	48	less	less	ADJ
iajs-1825	149	49	than	than	ADP
iajs-1825	149	50	in	in	ADP
iajs-1825	149	51	the	the	DET
iajs-1825	149	52	other	other	ADJ
iajs-1825	149	53	methods	method	NOUN
iajs-1825	149	54	.	.	PUNCT
iajs-1825	149	55	    	    	SPACE
iajs-1825	150	1	156	156	NUM
iajs-1825	150	2	ibn	ibn	PROPN
iajs-1825	150	3	al	al	PROPN
iajs-1825	150	4	-	-	PUNCT
iajs-1825	150	5	haitham	haitham	PROPN
iajs-1825	150	6	jour	jour	X
iajs-1825	150	7	.	.	PROPN
iajs-1825	150	8	for	for	ADP
iajs-1825	150	9	pure	pure	ADJ
iajs-1825	150	10	&	&	CCONJ
iajs-1825	150	11	appl.sci	appl.sci	PROPN
iajs-1825	150	12	.	.	PUNCT
iajs-1825	150	13	ihjpas	ihjpas	PROPN
iajs-1825	150	14	 	 	SPACE
iajs-1825	150	15	https://doi.org/10.30526/32.1.1825	https://doi.org/10.30526/32.1.1825	PROPN
iajs-1825	150	16	vol	vol	NOUN
iajs-1825	150	17	.	.	PUNCT
iajs-1825	151	1	32	32	NUM
iajs-1825	151	2	(	(	PUNCT
iajs-1825	151	3	1	1	NUM
iajs-1825	151	4	)	)	PUNCT
iajs-1825	151	5	2019	2019	NUM
iajs-1825	151	6	6	6	NUM
iajs-1825	151	7	.	.	PUNCT
iajs-1825	152	1	conclusion	conclusion	NOUN
iajs-1825	152	2	form	form	VERB
iajs-1825	152	3	the	the	DET
iajs-1825	152	4	numerical	numerical	ADJ
iajs-1825	152	5	results	result	NOUN
iajs-1825	152	6	,	,	PUNCT
iajs-1825	152	7	we	we	PRON
iajs-1825	152	8	conclude	conclude	VERB
iajs-1825	152	9	that	that	SCONJ
iajs-1825	152	10	the	the	DET
iajs-1825	152	11	shrinkage	shrinkage	NOUN
iajs-1825	152	12	estimation	estimation	NOUN
iajs-1825	152	13	method	method	NOUN
iajs-1825	152	14	performance	performance	NOUN
iajs-1825	152	15	good	good	ADJ
iajs-1825	152	16	behavior	behavior	NOUN
iajs-1825	152	17	especially	especially	ADV
iajs-1825	152	18	when	when	SCONJ
iajs-1825	152	19	using	use	VERB
iajs-1825	152	20	modified	modify	VERB
iajs-1825	152	21	thompson	thompson	NOUN
iajs-1825	152	22	type	type	NOUN
iajs-1825	152	23	shrinkage	shrinkage	NOUN
iajs-1825	152	24	weight	weight	NOUN
iajs-1825	152	25	factor	factor	NOUN
iajs-1825	152	26	.	.	PUNCT
iajs-1825	153	1	references	reference	NOUN
iajs-1825	153	2	1	1	NUM
iajs-1825	153	3	.	.	PUNCT
iajs-1825	153	4	bhattacharyya	bhattacharyya	PROPN
iajs-1825	153	5	,	,	PUNCT
iajs-1825	153	6	g.k	g.k	PROPN
iajs-1825	153	7	.	.	PROPN
iajs-1825	153	8	;	;	PUNCT
iajs-1825	153	9	johnson	johnson	PROPN
iajs-1825	153	10	,	,	PUNCT
iajs-1825	153	11	r.a	r.a	PROPN
iajs-1825	153	12	.	.	PROPN
iajs-1825	153	13	,	,	PUNCT
iajs-1825	153	14	estimation	estimation	NOUN
iajs-1825	153	15	of	of	ADP
iajs-1825	153	16	reliability	reliability	NOUN
iajs-1825	153	17	in	in	ADP
iajs-1825	153	18	a	a	DET
iajs-1825	153	19	multi	multi	ADJ
iajs-1825	153	20	-	-	ADJ
iajs-1825	153	21	component	component	ADJ
iajs-1825	153	22	stress	stress	NOUN
iajs-1825	153	23	-	-	PUNCT
iajs-1825	153	24	strength	strength	NOUN
iajs-1825	153	25	model	model	NOUN
iajs-1825	153	26	,	,	PUNCT
iajs-1825	153	27	journal	journal	NOUN
iajs-1825	153	28	of	of	ADP
iajs-1825	153	29	the	the	DET
iajs-1825	153	30	american	american	PROPN
iajs-1825	153	31	statistical	statistical	ADJ
iajs-1825	153	32	association	association	NOUN
iajs-1825	153	33	.	.	PUNCT
iajs-1825	154	1	1974	1974	NUM
iajs-1825	154	2	,	,	PUNCT
iajs-1825	154	3	69	69	NUM
iajs-1825	154	4	,	,	PUNCT
iajs-1825	154	5	348	348	NUM
iajs-1825	154	6	,	,	PUNCT
iajs-1825	154	7	966	966	NUM
iajs-1825	154	8	-	-	SYM
iajs-1825	154	9	970	970	NUM
iajs-1825	154	10	.	.	NOUN
iajs-1825	155	1	2	2	X
iajs-1825	155	2	.	.	X
iajs-1825	155	3	afify	afify	NOUN
iajs-1825	155	4	,	,	PUNCT
iajs-1825	155	5	w.m	w.m	PROPN
iajs-1825	155	6	.	.	PROPN
iajs-1825	156	1	on	on	ADP
iajs-1825	156	2	estimation	estimation	NOUN
iajs-1825	156	3	of	of	ADP
iajs-1825	156	4	the	the	DET
iajs-1825	156	5	exponentiated	exponentiate	VERB
iajs-1825	156	6	pareto	pareto	ADJ
iajs-1825	156	7	distribution	distribution	NOUN
iajs-1825	156	8	under	under	ADP
iajs-1825	156	9	different	different	ADJ
iajs-1825	156	10	sample	sample	NOUN
iajs-1825	156	11	schemes	scheme	NOUN
iajs-1825	156	12	,	,	PUNCT
iajs-1825	156	13	applied	apply	VERB
iajs-1825	156	14	mathematical	mathematical	ADJ
iajs-1825	156	15	sciences	science	NOUN
iajs-1825	156	16	.	.	PUNCT
iajs-1825	157	1	2010	2010	NUM
iajs-1825	157	2	,	,	PUNCT
iajs-1825	157	3	4	4	NUM
iajs-1825	157	4	,	,	PUNCT
iajs-1825	157	5	8	8	NUM
iajs-1825	157	6	,	,	PUNCT
iajs-1825	157	7	393	393	NUM
iajs-1825	157	8	402	402	NUM
iajs-1825	157	9	.	.	PUNCT
iajs-1825	158	1	3	3	X
iajs-1825	158	2	.	.	X
iajs-1825	158	3	rao	rao	PROPN
iajs-1825	158	4	,	,	PUNCT
iajs-1825	158	5	g.s	g.s	PROPN
iajs-1825	158	6	.	.	PROPN
iajs-1825	158	7	;	;	PUNCT
iajs-1825	158	8	aslam	aslam	PROPN
iajs-1825	158	9	,	,	PUNCT
iajs-1825	158	10	m.	m.	NOUN
iajs-1825	158	11	;	;	PUNCT
iajs-1825	158	12	arif	arif	PROPN
iajs-1825	158	13	,	,	PUNCT
iajs-1825	158	14	o.h	o.h	PROPN
iajs-1825	158	15	.	.	PROPN
iajs-1825	158	16	estimation	estimation	NOUN
iajs-1825	158	17	of	of	ADP
iajs-1825	158	18	reliability	reliability	NOUN
iajs-1825	158	19	in	in	ADP
iajs-1825	158	20	multicomponent	multicomponent	NOUN
iajs-1825	158	21	stressstrength	stressstrength	NOUN
iajs-1825	158	22	based	base	VERB
iajs-1825	158	23	on	on	ADP
iajs-1825	158	24	two	two	NUM
iajs-1825	158	25	parameter	parameter	NOUN
iajs-1825	158	26	exponentiated	exponentiate	VERB
iajs-1825	158	27	weibull	weibull	PROPN
iajs-1825	158	28	distribution	distribution	NOUN
iajs-1825	158	29	,	,	PUNCT
iajs-1825	158	30	communication	communication	NOUN
iajs-1825	158	31	in	in	ADP
iajs-1825	158	32	statistics	statistic	NOUN
iajs-1825	158	33	theory	theory	NOUN
iajs-1825	158	34	and	and	CCONJ
iajs-1825	158	35	methods	method	NOUN
iajs-1825	158	36	,	,	PUNCT
iajs-1825	158	37	2017	2017	NUM
iajs-1825	158	38	,	,	PUNCT
iajs-1825	158	39	66	66	NUM
iajs-1825	158	40	,	,	PUNCT
iajs-1825	158	41	7495	7495	NUM
iajs-1825	158	42	-	-	SYM
iajs-1825	158	43	7502	7502	NUM
iajs-1825	158	44	.	.	PUNCT
iajs-1825	159	1	4	4	X
iajs-1825	159	2	.	.	X
iajs-1825	159	3	abbas	abbas	PROPN
iajs-1825	159	4	,	,	PUNCT
iajs-1825	159	5	n.s	n.s	PROPN
iajs-1825	159	6	.	.	PROPN
iajs-1825	159	7	;	;	PUNCT
iajs-1825	159	8	fatima	fatima	PROPN
iajs-1825	159	9	;	;	PUNCT
iajs-1825	159	10	h.s	h.s	PROPN
iajs-1825	159	11	.	.	PROPN
iajs-1825	160	1	on	on	ADP
iajs-1825	160	2	shrinkage	shrinkage	NOUN
iajs-1825	160	3	estimation	estimation	NOUN
iajs-1825	160	4	of	of	ADP
iajs-1825	160	5	𝑅	𝑅	PROPN
iajs-1825	160	6	,	,	PUNCT
iajs-1825	160	7	based	base	VERB
iajs-1825	160	8	on	on	ADP
iajs-1825	160	9	exponentiated	exponentiated	ADJ
iajs-1825	160	10	weibull	weibull	PROPN
iajs-1825	160	11	distribution	distribution	NOUN
iajs-1825	160	12	,	,	PUNCT
iajs-1825	160	13	international	international	ADJ
iajs-1825	160	14	journal	journal	NOUN
iajs-1825	160	15	of	of	ADP
iajs-1825	160	16	science	science	NOUN
iajs-1825	160	17	and	and	CCONJ
iajs-1825	160	18	research	research	NOUN
iajs-1825	160	19	.	.	PUNCT
iajs-1825	161	1	2017	2017	NUM
iajs-1825	161	2	,	,	PUNCT
iajs-1825	161	3	6	6	NUM
iajs-1825	161	4	,	,	PUNCT
iajs-1825	161	5	7	7	NUM
iajs-1825	161	6	,	,	PUNCT
iajs-1825	161	7	23197064	23197064	NUM
iajs-1825	161	8	5	5	NUM
iajs-1825	161	9	.	.	PUNCT
iajs-1825	162	1	al	al	PROPN
iajs-1825	162	2	-	-	PUNCT
iajs-1825	162	3	hemyari	hemyari	PROPN
iajs-1825	162	4	,	,	PUNCT
iajs-1825	162	5	z.a	z.a	PROPN
iajs-1825	162	6	;	;	PUNCT
iajs-1825	162	7	hassan	hassan	PROPN
iajs-1825	162	8	,	,	PUNCT
iajs-1825	162	9	i.h	i.h	PROPN
iajs-1825	162	10	;	;	PUNCT
iajs-1825	162	11	al	al	PROPN
iajs-1825	162	12	-	-	PUNCT
iajs-1825	162	13	jobori	jobori	PROPN
iajs-1825	162	14	,	,	PUNCT
iajs-1825	162	15	a.n	a.n	PROPN
iajs-1825	162	16	.	.	PROPN
iajs-1825	163	1	a	a	DET
iajs-1825	163	2	class	class	NOUN
iajs-1825	163	3	of	of	ADP
iajs-1825	163	4	efficient	efficient	ADJ
iajs-1825	163	5	and	and	CCONJ
iajs-1825	163	6	modified	modify	VERB
iajs-1825	163	7	estimator	estimator	NOUN
iajs-1825	163	8	for	for	ADP
iajs-1825	163	9	the	the	DET
iajs-1825	163	10	mean	mean	NOUN
iajs-1825	163	11	of	of	ADP
iajs-1825	163	12	normal	normal	ADJ
iajs-1825	163	13	distribution	distribution	NOUN
iajs-1825	163	14	using	use	VERB
iajs-1825	163	15	complete	complete	ADJ
iajs-1825	163	16	data	datum	NOUN
iajs-1825	163	17	,	,	PUNCT
iajs-1825	163	18	international	international	ADJ
iajs-1825	163	19	journal	journal	NOUN
iajs-1825	163	20	of	of	ADP
iajs-1825	163	21	data	datum	NOUN
iajs-1825	163	22	analysis	analysis	NOUN
iajs-1825	163	23	techniques	technique	NOUN
iajs-1825	163	24	and	and	CCONJ
iajs-1825	163	25	strategies	strategy	NOUN
iajs-1825	163	26	.	.	PUNCT
iajs-1825	164	1	2011	2011	NUM
iajs-1825	164	2	,	,	PUNCT
iajs-1825	164	3	3	3	NUM
iajs-1825	164	4	,	,	PUNCT
iajs-1825	164	5	4	4	NUM
iajs-1825	164	6	,	,	PUNCT
iajs-1825	164	7	406	406	NUM
iajs-1825	164	8	-	-	SYM
iajs-1825	164	9	425	425	NUM
iajs-1825	164	10	.	.	NOUN
iajs-1825	165	1	6	6	NUM
iajs-1825	165	2	.	.	X
iajs-1825	165	3	abdul	abdul	PROPN
iajs-1825	165	4	-	-	PUNCT
iajs-1825	165	5	moniem	moniem	PROPN
iajs-1825	165	6	,	,	PUNCT
iajs-1825	165	7	i.b	i.b	PROPN
iajs-1825	165	8	.	.	PROPN
iajs-1825	165	9	;	;	PUNCT
iajs-1825	165	10	abdel	abdel	PROPN
iajs-1825	165	11	-	-	PUNCT
iajs-1825	165	12	hammed	ham	VERB
iajs-1825	165	13	,	,	PUNCT
iajs-1825	165	14	h.f	h.f	PROPN
iajs-1825	165	15	.	.	PROPN
iajs-1825	165	16	on	on	ADP
iajs-1825	165	17	exponentiated	exponentiated	ADJ
iajs-1825	165	18	lomax	lomax	PROPN
iajs-1825	165	19	distribution	distribution	NOUN
iajs-1825	165	20	.	.	PUNCT
iajs-1825	166	1	international	international	ADJ
iajs-1825	166	2	journal	journal	PROPN
iajs-1825	166	3	of	of	ADP
iajs-1825	166	4	mathematical	mathematical	ADJ
iajs-1825	166	5	archive	archive	NOUN
iajs-1825	166	6	.	.	PUNCT
iajs-1825	167	1	2012	2012	NUM
iajs-1825	167	2	,	,	PUNCT
iajs-1825	167	3	5	5	NUM
iajs-1825	167	4	,	,	PUNCT
iajs-1825	167	5	3	3	NUM
iajs-1825	167	6	,	,	PUNCT
iajs-1825	167	7	1	1	NUM
iajs-1825	167	8	-	-	SYM
iajs-1825	167	9	7	7	NUM
iajs-1825	167	10	.	.	NOUN
iajs-1825	167	11	7	7	NUM
iajs-1825	167	12	.	.	X
iajs-1825	167	13	thompson	thompson	PROPN
iajs-1825	167	14	,	,	PUNCT
iajs-1825	167	15	j.r	j.r	PROPN
iajs-1825	167	16	.	.	PROPN
iajs-1825	168	1	some	some	DET
iajs-1825	168	2	shrinkage	shrinkage	NOUN
iajs-1825	168	3	techniques	technique	NOUN
iajs-1825	168	4	for	for	ADP
iajs-1825	168	5	estimating	estimate	VERB
iajs-1825	168	6	the	the	DET
iajs-1825	168	7	mean	mean	NOUN
iajs-1825	168	8	.	.	PUNCT
iajs-1825	169	1	j.amer	j.amer	NOUN
iajs-1825	169	2	.	.	PUNCT
iajs-1825	169	3	statist	statist	PROPN
iajs-1825	169	4	.	.	PUNCT
iajs-1825	170	1	assoc	assoc	PROPN
iajs-1825	170	2	.	.	PUNCT
iajs-1825	171	1	1968	1968	NUM
iajs-1825	171	2	,	,	PUNCT
iajs-1825	171	3	63	63	NUM
iajs-1825	171	4	,	,	PUNCT
iajs-1825	171	5	113	113	NUM
iajs-1825	171	6	-	-	SYM
iajs-1825	171	7	122	122	NUM
iajs-1825	171	8	.	.	NOUN
iajs-1825	171	9	8	8	NUM
iajs-1825	171	10	.	.	PUNCT
iajs-1825	172	1	rubinstein	rubinstein	PROPN
iajs-1825	172	2	.	.	PUNCT
iajs-1825	173	1	r.	r.	PROPN
iajs-1825	173	2	y.	y.	PROPN
iajs-1825	173	3	;	;	PUNCT
iajs-1825	173	4	kroese	kroese	PROPN
iajs-1825	173	5	,	,	PUNCT
iajs-1825	173	6	d.p	d.p	PROPN
iajs-1825	173	7	.	.	PROPN
iajs-1825	173	8	simulation	simulation	NOUN
iajs-1825	173	9	and	and	CCONJ
iajs-1825	173	10	the	the	DET
iajs-1825	173	11	monte	monte	PROPN
iajs-1825	173	12	carlo	carlo	PROPN
iajs-1825	173	13	method	method	NOUN
iajs-1825	173	14	.	.	PUNCT
iajs-1825	174	1	john	john	PROPN
iajs-1825	174	2	wiley	wiley	PROPN
iajs-1825	174	3	and	and	CCONJ
iajs-1825	174	4	sons	son	NOUN
iajs-1825	174	5	,	,	PUNCT
iajs-1825	174	6	1981	1981	NUM
iajs-1825	174	7	.	.	PUNCT