id	sid	tid	token	lemma	pos
iajs-1809	1	1	microsoft	microsoft	PROPN
iajs-1809	1	2	word	word	NOUN
iajs-1809	1	3	363	363	NUM
iajs-1809	1	4	-	-	SYM
iajs-1809	1	5	377	377	NUM
iajs-1809	1	6	ihsciconf	ihsciconf	NOUN
iajs-1809	1	7	2017	2017	NUM
iajs-1809	1	8	special	special	ADJ
iajs-1809	1	9	issue	issue	NOUN
iajs-1809	1	10	ibn	ibn	PROPN
iajs-1809	1	11	al	al	PROPN
iajs-1809	1	12	-	-	PUNCT
iajs-1809	1	13	haitham	haitham	PROPN
iajs-1809	1	14	journal	journal	PROPN
iajs-1809	1	15	for	for	ADP
iajs-1809	1	16	pure	pure	ADJ
iajs-1809	1	17	and	and	CCONJ
iajs-1809	1	18	applied	apply	VERB
iajs-1809	1	19	science	science	NOUN
iajs-1809	1	20	https://doi.org/	https://doi.org/	NOUN
iajs-1809	1	21	10.30526/2017.ihsciconf.1809	10.30526/2017.ihsciconf.1809	NUM
iajs-1809	1	22	for	for	ADP
iajs-1809	1	23	more	more	ADJ
iajs-1809	1	24	information	information	NOUN
iajs-1809	1	25	about	about	ADP
iajs-1809	1	26	the	the	DET
iajs-1809	1	27	conference	conference	NOUN
iajs-1809	1	28	please	please	INTJ
iajs-1809	1	29	visit	visit	VERB
iajs-1809	1	30	the	the	DET
iajs-1809	1	31	websites	website	NOUN
iajs-1809	1	32	:	:	PUNCT
iajs-1809	1	33	http://www.ihsciconf.org/conf/	http://www.ihsciconf.org/conf/	VERB
iajs-1809	1	34	   	   	SPACE
iajs-1809	1	35	www.ihsciconf.org	www.ihsciconf.org	ADJ
iajs-1809	1	36	   	   	SPACE
iajs-1809	1	37	mathematics|363	mathematics|363	ADJ
iajs-1809	1	38	    	    	SPACE
iajs-1809	1	39	different	different	ADJ
iajs-1809	1	40	estimation	estimation	NOUN
iajs-1809	1	41	methods	method	NOUN
iajs-1809	1	42	for	for	ADP
iajs-1809	1	43	system	system	NOUN
iajs-1809	1	44	reliability	reliability	NOUN
iajs-1809	1	45	multi	multi	ADJ
iajs-1809	1	46	-	-	ADJ
iajs-1809	1	47	components	components	ADJ
iajs-1809	1	48	model	model	NOUN
iajs-1809	1	49	:	:	PUNCT
iajs-1809	1	50	exponentiated	exponentiate	VERB
iajs-1809	1	51	weibull	weibull	PROPN
iajs-1809	1	52	distribution	distribution	NOUN
iajs-1809	1	53	abbas	abbas	PROPN
iajs-1809	1	54	najim	najim	PROPN
iajs-1809	1	55	salman	salman	PROPN
iajs-1809	1	56	abbasnajim66@yahoo.com	abbasnajim66@yahoo.com	PROPN
iajs-1809	1	57	dept	dept	PROPN
iajs-1809	1	58	.	.	PUNCT
iajs-1809	2	1	of	of	ADP
iajs-1809	2	2	mathematical	mathematical	ADJ
iajs-1809	2	3	/	/	SYM
iajs-1809	2	4	college	college	NOUN
iajs-1809	2	5	of	of	ADP
iajs-1809	2	6	education	education	NOUN
iajs-1809	2	7	(	(	PUNCT
iajs-1809	2	8	ibn	ibn	PROPN
iajs-1809	2	9	al	al	PROPN
iajs-1809	2	10	–	–	PUNCT
iajs-1809	2	11	haitham)/	haitham)/	PROPN
iajs-1809	2	12	bagdad	bagdad	PROPN
iajs-1809	2	13	university	university	PROPN
iajs-1809	2	14	fatima	fatima	PROPN
iajs-1809	2	15	hadi	hadi	PROPN
iajs-1809	2	16	sail	sail	PROPN
iajs-1809	2	17	sailfatima652@gmail.com	sailfatima652@gmail.com	PROPN
iajs-1809	2	18	ministry	ministry	PROPN
iajs-1809	2	19	of	of	ADP
iajs-1809	2	20	education	education	PROPN
iajs-1809	2	21	/	/	SYM
iajs-1809	2	22	directorate	directorate	NOUN
iajs-1809	2	23	of	of	ADP
iajs-1809	2	24	education	education	PROPN
iajs-1809	2	25	al	al	PROPN
iajs-1809	2	26	-	-	PUNCT
iajs-1809	2	27	karkh	karkh	PROPN
iajs-1809	2	28	ii	ii	PROPN
iajs-1809	2	29	abstract	abstract	NOUN
iajs-1809	2	30	in	in	ADP
iajs-1809	2	31	this	this	DET
iajs-1809	2	32	paper	paper	NOUN
iajs-1809	2	33	,	,	PUNCT
iajs-1809	2	34	estimation	estimation	NOUN
iajs-1809	2	35	of	of	ADP
iajs-1809	2	36	system	system	NOUN
iajs-1809	2	37	reliability	reliability	NOUN
iajs-1809	2	38	of	of	ADP
iajs-1809	2	39	the	the	DET
iajs-1809	2	40	multi	multi	NOUN
iajs-1809	2	41	-	-	NOUN
iajs-1809	2	42	components	component	NOUN
iajs-1809	2	43	in	in	ADP
iajs-1809	2	44	stressstrength	stressstrength	NOUN
iajs-1809	2	45	model	model	PROPN
iajs-1809	2	46	r(s	r(s	PROPN
iajs-1809	2	47	,	,	PUNCT
iajs-1809	2	48	k	k	NOUN
iajs-1809	2	49	)	)	PUNCT
iajs-1809	2	50	is	be	AUX
iajs-1809	2	51	considered	consider	VERB
iajs-1809	2	52	,	,	PUNCT
iajs-1809	2	53	when	when	SCONJ
iajs-1809	2	54	the	the	DET
iajs-1809	2	55	stress	stress	NOUN
iajs-1809	2	56	and	and	CCONJ
iajs-1809	2	57	strength	strength	NOUN
iajs-1809	2	58	are	be	AUX
iajs-1809	2	59	independent	independent	ADJ
iajs-1809	2	60	random	random	ADJ
iajs-1809	2	61	variables	variable	NOUN
iajs-1809	2	62	and	and	CCONJ
iajs-1809	2	63	follows	follow	VERB
iajs-1809	2	64	the	the	DET
iajs-1809	2	65	exponentiated	exponentiated	ADJ
iajs-1809	2	66	weibull	weibull	NOUN
iajs-1809	2	67	distribution	distribution	NOUN
iajs-1809	2	68	(	(	PUNCT
iajs-1809	2	69	ewd	ewd	PROPN
iajs-1809	2	70	)	)	PUNCT
iajs-1809	2	71	with	with	ADP
iajs-1809	2	72	known	know	VERB
iajs-1809	2	73	first	first	ADJ
iajs-1809	2	74	shape	shape	NOUN
iajs-1809	2	75	parameter	parameter	NOUN
iajs-1809	2	76	θ	θ	PROPN
iajs-1809	2	77	and	and	CCONJ
iajs-1809	2	78	,	,	PUNCT
iajs-1809	2	79	the	the	DET
iajs-1809	2	80	second	second	ADJ
iajs-1809	2	81	shape	shape	NOUN
iajs-1809	2	82	parameter	parameter	NOUN
iajs-1809	2	83	α	α	PROPN
iajs-1809	2	84	is	be	AUX
iajs-1809	2	85	unknown	unknown	ADJ
iajs-1809	2	86	using	use	VERB
iajs-1809	2	87	different	different	ADJ
iajs-1809	2	88	estimation	estimation	NOUN
iajs-1809	2	89	methods	method	NOUN
iajs-1809	2	90	.	.	PUNCT
iajs-1809	3	1	comparisons	comparison	NOUN
iajs-1809	3	2	among	among	ADP
iajs-1809	3	3	the	the	DET
iajs-1809	3	4	proposed	propose	VERB
iajs-1809	3	5	estimators	estimator	NOUN
iajs-1809	3	6	through	through	ADP
iajs-1809	3	7	monte	monte	PROPN
iajs-1809	3	8	carlo	carlo	PROPN
iajs-1809	3	9	simulation	simulation	NOUN
iajs-1809	3	10	technique	technique	NOUN
iajs-1809	3	11	were	be	AUX
iajs-1809	3	12	made	make	VERB
iajs-1809	3	13	depend	depend	VERB
iajs-1809	3	14	on	on	ADP
iajs-1809	3	15	mean	mean	NOUN
iajs-1809	3	16	squared	square	VERB
iajs-1809	3	17	error	error	NOUN
iajs-1809	3	18	(	(	PUNCT
iajs-1809	3	19	mse	mse	NOUN
iajs-1809	3	20	)	)	PUNCT
iajs-1809	3	21	criteria	criterion	NOUN
iajs-1809	3	22	.	.	PUNCT
iajs-1809	4	1	keywords	keyword	NOUN
iajs-1809	4	2	:	:	PUNCT
iajs-1809	4	3	exponentiated	exponentiate	VERB
iajs-1809	4	4	weibull	weibull	PROPN
iajs-1809	4	5	distribution	distribution	NOUN
iajs-1809	4	6	(	(	PUNCT
iajs-1809	4	7	ewd	ewd	PROPN
iajs-1809	4	8	)	)	PUNCT
iajs-1809	4	9	,	,	PUNCT
iajs-1809	4	10	reliability	reliability	NOUN
iajs-1809	4	11	of	of	ADP
iajs-1809	4	12	multi	multi	ADJ
iajs-1809	4	13	-	-	ADJ
iajs-1809	4	14	component	component	ADJ
iajs-1809	4	15	stress	stress	NOUN
iajs-1809	4	16	–	–	PUNCT
iajs-1809	4	17	strength	strength	NOUN
iajs-1809	4	18	models	model	NOUN
iajs-1809	4	19	r(s	r(s	PROPN
iajs-1809	4	20	,	,	PUNCT
iajs-1809	4	21	k	k	NOUN
iajs-1809	4	22	)	)	PUNCT
iajs-1809	4	23	,	,	PUNCT
iajs-1809	4	24	maximum	maximum	ADJ
iajs-1809	4	25	likelihood	likelihood	NOUN
iajs-1809	4	26	estimator	estimator	NOUN
iajs-1809	4	27	(	(	PUNCT
iajs-1809	4	28	mle	mle	PROPN
iajs-1809	4	29	)	)	PUNCT
iajs-1809	4	30	,	,	PUNCT
iajs-1809	4	31	moment	moment	NOUN
iajs-1809	4	32	estimator	estimator	NOUN
iajs-1809	4	33	(	(	PUNCT
iajs-1809	4	34	mom	mom	NOUN
iajs-1809	4	35	)	)	PUNCT
iajs-1809	4	36	,	,	PUNCT
iajs-1809	4	37	shrinkage	shrinkage	NOUN
iajs-1809	4	38	method	method	NOUN
iajs-1809	4	39	(	(	PUNCT
iajs-1809	4	40	sh	sh	PROPN
iajs-1809	4	41	)	)	PUNCT
iajs-1809	4	42	,	,	PUNCT
iajs-1809	4	43	least	least	ADJ
iajs-1809	4	44	squares	square	NOUN
iajs-1809	4	45	estimator	estimator	NOUN
iajs-1809	4	46	(	(	PUNCT
iajs-1809	4	47	ls	ls	PROPN
iajs-1809	4	48	)	)	PUNCT
iajs-1809	4	49	,	,	PUNCT
iajs-1809	4	50	rank	rank	NOUN
iajs-1809	4	51	set	set	NOUN
iajs-1809	4	52	sampling	sample	VERB
iajs-1809	4	53	(	(	PUNCT
iajs-1809	4	54	rss	rss	NOUN
iajs-1809	4	55	)	)	PUNCT
iajs-1809	4	56	.	.	PUNCT
iajs-1809	5	1	and	and	CCONJ
iajs-1809	5	2	mean	mean	VERB
iajs-1809	5	3	squared	square	VERB
iajs-1809	5	4	error	error	NOUN
iajs-1809	5	5	(	(	PUNCT
iajs-1809	5	6	mse	mse	NOUN
iajs-1809	5	7	)	)	PUNCT
iajs-1809	5	8	.	.	PUNCT
iajs-1809	6	1	ihsciconf	ihsciconf	PROPN
iajs-1809	6	2	2017	2017	NUM
iajs-1809	6	3	special	special	ADJ
iajs-1809	6	4	issue	issue	NOUN
iajs-1809	6	5	ibn	ibn	PROPN
iajs-1809	6	6	al	al	PROPN
iajs-1809	6	7	-	-	PUNCT
iajs-1809	6	8	haitham	haitham	PROPN
iajs-1809	6	9	journal	journal	PROPN
iajs-1809	6	10	for	for	ADP
iajs-1809	6	11	pure	pure	ADJ
iajs-1809	6	12	and	and	CCONJ
iajs-1809	6	13	applied	apply	VERB
iajs-1809	6	14	science	science	NOUN
iajs-1809	6	15	https://doi.org/	https://doi.org/	NOUN
iajs-1809	6	16	10.30526/2017.ihsciconf.1809	10.30526/2017.ihsciconf.1809	NUM
iajs-1809	6	17	for	for	ADP
iajs-1809	6	18	more	more	ADJ
iajs-1809	6	19	information	information	NOUN
iajs-1809	6	20	about	about	ADP
iajs-1809	6	21	the	the	DET
iajs-1809	6	22	conference	conference	NOUN
iajs-1809	6	23	please	please	INTJ
iajs-1809	6	24	visit	visit	VERB
iajs-1809	6	25	the	the	DET
iajs-1809	6	26	websites	website	NOUN
iajs-1809	6	27	:	:	PUNCT
iajs-1809	6	28	http://www.ihsciconf.org/conf/	http://www.ihsciconf.org/conf/	VERB
iajs-1809	6	29	   	   	SPACE
iajs-1809	6	30	www.ihsciconf.org	www.ihsciconf.org	ADJ
iajs-1809	6	31	   	   	SPACE
iajs-1809	6	32	mathematics|364	mathematics|364	NOUN
iajs-1809	6	33	    	    	SPACE
iajs-1809	6	34	1	1	NUM
iajs-1809	6	35	.	.	PUNCT
iajs-1809	6	36	introduction	introduction	NOUN
iajs-1809	6	37	the	the	DET
iajs-1809	6	38	stress	stress	NOUN
iajs-1809	6	39	-	-	PUNCT
iajs-1809	6	40	strength	strength	NOUN
iajs-1809	6	41	(	(	PUNCT
iajs-1809	6	42	s	s	NOUN
iajs-1809	6	43	-	-	PUNCT
iajs-1809	6	44	s	s	NOUN
iajs-1809	6	45	)	)	PUNCT
iajs-1809	6	46	reliability	reliability	NOUN
iajs-1809	6	47	of	of	ADP
iajs-1809	6	48	the	the	DET
iajs-1809	6	49	system	system	NOUN
iajs-1809	6	50	which	which	PRON
iajs-1809	6	51	contains	contain	VERB
iajs-1809	6	52	one	one	NUM
iajs-1809	6	53	component	component	NOUN
iajs-1809	6	54	is	be	AUX
iajs-1809	6	55	denoted	denote	VERB
iajs-1809	6	56	by	by	ADP
iajs-1809	6	57	r	r	NOUN
iajs-1809	6	58	=	=	SYM
iajs-1809	6	59	p(y	p(y	PROPN
iajs-1809	6	60	<	<	X
iajs-1809	6	61	x	x	X
iajs-1809	6	62	)	)	PUNCT
iajs-1809	6	63	,	,	PUNCT
iajs-1809	6	64	where	where	SCONJ
iajs-1809	6	65	y	y	PRON
iajs-1809	6	66	arise	arise	VERB
iajs-1809	6	67	the	the	DET
iajs-1809	6	68	stress	stress	NOUN
iajs-1809	6	69	random	random	ADJ
iajs-1809	6	70	variable	variable	NOUN
iajs-1809	6	71	and	and	CCONJ
iajs-1809	6	72	x	x	PRON
iajs-1809	6	73	arise	arise	VERB
iajs-1809	6	74	the	the	DET
iajs-1809	6	75	strength	strength	NOUN
iajs-1809	6	76	random	random	ADJ
iajs-1809	6	77	variable	variable	NOUN
iajs-1809	6	78	.	.	PUNCT
iajs-1809	7	1	and	and	CCONJ
iajs-1809	7	2	hence	hence	ADV
iajs-1809	7	3	"	"	PUNCT
iajs-1809	7	4	the	the	DET
iajs-1809	7	5	stress	stress	NOUN
iajs-1809	7	6	-	-	PUNCT
iajs-1809	7	7	strength	strength	NOUN
iajs-1809	7	8	(	(	PUNCT
iajs-1809	7	9	s	s	NOUN
iajs-1809	7	10	-	-	PUNCT
iajs-1809	7	11	s	s	NOUN
iajs-1809	7	12	)	)	PUNCT
iajs-1809	7	13	reliability	reliability	NOUN
iajs-1809	7	14	is	be	AUX
iajs-1809	7	15	computed	compute	VERB
iajs-1809	7	16	as	as	ADP
iajs-1809	7	17	𝑅	𝑅	PROPN
iajs-1809	7	18	f	f	PROPN
iajs-1809	7	19	x	x	X
iajs-1809	7	20	.	.	PUNCT
iajs-1809	8	1	f	f	PROPN
iajs-1809	8	2	x	x	X
iajs-1809	8	3	dx	dx	PROPN
iajs-1809	8	4	.	.	PUNCT
iajs-1809	9	1	its	its	PRON
iajs-1809	9	2	application	application	NOUN
iajs-1809	9	3	has	have	AUX
iajs-1809	9	4	spread	spread	VERB
iajs-1809	9	5	out	out	ADP
iajs-1809	9	6	into	into	ADP
iajs-1809	9	7	many	many	ADJ
iajs-1809	9	8	fields	field	NOUN
iajs-1809	9	9	;	;	PUNCT
iajs-1809	9	10	one	one	NUM
iajs-1809	9	11	of	of	ADP
iajs-1809	9	12	the	the	DET
iajs-1809	9	13	most	most	ADV
iajs-1809	9	14	developed	developed	ADJ
iajs-1809	9	15	usual	usual	ADJ
iajs-1809	9	16	applications	application	NOUN
iajs-1809	9	17	focuses	focus	VERB
iajs-1809	9	18	on	on	ADP
iajs-1809	9	19	engineering	engineering	NOUN
iajs-1809	9	20	-	-	PUNCT
iajs-1809	9	21	oriented	orient	VERB
iajs-1809	9	22	problems	problem	NOUN
iajs-1809	9	23	.	.	PUNCT
iajs-1809	10	1	for	for	ADP
iajs-1809	10	2	example	example	NOUN
iajs-1809	10	3	,	,	PUNCT
iajs-1809	10	4	the	the	DET
iajs-1809	10	5	common	common	ADJ
iajs-1809	10	6	tennis	tennis	NOUN
iajs-1809	10	7	racket	racket	NOUN
iajs-1809	10	8	is	be	AUX
iajs-1809	10	9	composed	compose	VERB
iajs-1809	10	10	of	of	ADP
iajs-1809	10	11	two	two	NUM
iajs-1809	10	12	basic	basic	ADJ
iajs-1809	10	13	subsystems	subsystem	NOUN
iajs-1809	10	14	,	,	PUNCT
iajs-1809	10	15	the	the	DET
iajs-1809	10	16	frame	frame	NOUN
iajs-1809	10	17	,	,	PUNCT
iajs-1809	10	18	and	and	CCONJ
iajs-1809	10	19	string	string	NOUN
iajs-1809	10	20	.	.	PUNCT
iajs-1809	11	1	during	during	ADP
iajs-1809	11	2	a	a	DET
iajs-1809	11	3	tennis	tennis	NOUN
iajs-1809	11	4	match	match	NOUN
iajs-1809	11	5	,	,	PUNCT
iajs-1809	11	6	the	the	DET
iajs-1809	11	7	random	random	ADJ
iajs-1809	11	8	stress	stress	NOUN
iajs-1809	11	9	a	a	DET
iajs-1809	11	10	racket	racket	NOUN
iajs-1809	11	11	is	be	AUX
iajs-1809	11	12	exposed	expose	VERB
iajs-1809	11	13	to	to	ADP
iajs-1809	11	14	includes	include	VERB
iajs-1809	11	15	hitting	hit	VERB
iajs-1809	11	16	the	the	DET
iajs-1809	11	17	ball	ball	NOUN
iajs-1809	11	18	repeated	repeat	VERB
iajs-1809	11	19	times	time	NOUN
iajs-1809	11	20	or	or	CCONJ
iajs-1809	11	21	falling	fall	VERB
iajs-1809	11	22	on	on	ADP
iajs-1809	11	23	the	the	DET
iajs-1809	11	24	ground	ground	NOUN
iajs-1809	11	25	accidently	accidently	ADV
iajs-1809	11	26	[	[	X
iajs-1809	11	27	29	29	NUM
iajs-1809	11	28	]	]	PUNCT
iajs-1809	11	29	.	.	PUNCT
iajs-1809	12	1	as	as	ADV
iajs-1809	12	2	well	well	ADV
iajs-1809	12	3	as	as	ADP
iajs-1809	12	4	(	(	PUNCT
iajs-1809	12	5	s	s	NOUN
iajs-1809	12	6	-	-	PUNCT
iajs-1809	12	7	s	s	NOUN
iajs-1809	12	8	)	)	PUNCT
iajs-1809	12	9	model	model	NOUN
iajs-1809	12	10	is	be	AUX
iajs-1809	12	11	used	use	VERB
iajs-1809	12	12	in	in	ADP
iajs-1809	12	13	engineering	engineering	NOUN
iajs-1809	12	14	devices	device	NOUN
iajs-1809	12	15	,	,	PUNCT
iajs-1809	12	16	it	it	PRON
iajs-1809	12	17	has	have	AUX
iajs-1809	12	18	been	be	AUX
iajs-1809	12	19	usually	usually	ADV
iajs-1809	12	20	determined	determine	VERB
iajs-1809	12	21	,	,	PUNCT
iajs-1809	12	22	how	how	SCONJ
iajs-1809	12	23	long	long	ADV
iajs-1809	12	24	rang	ring	VERB
iajs-1809	12	25	time	time	NOUN
iajs-1809	12	26	of	of	ADP
iajs-1809	12	27	the	the	DET
iajs-1809	12	28	system	system	NOUN
iajs-1809	12	29	will	will	AUX
iajs-1809	12	30	be	be	AUX
iajs-1809	12	31	live	live	ADJ
iajs-1809	12	32	.	.	PUNCT
iajs-1809	13	1	the	the	DET
iajs-1809	13	2	stress	stress	NOUN
iajs-1809	13	3	-	-	PUNCT
iajs-1809	13	4	strength	strength	NOUN
iajs-1809	13	5	model	model	NOUN
iajs-1809	13	6	has	have	AUX
iajs-1809	13	7	been	be	AUX
iajs-1809	13	8	studied	study	VERB
iajs-1809	13	9	by	by	ADP
iajs-1809	13	10	many	many	ADJ
iajs-1809	13	11	authors	author	NOUN
iajs-1809	13	12	like	like	ADP
iajs-1809	13	13	ali	ali	PROPN
iajs-1809	13	14	,	,	PUNCT
iajs-1809	13	15	pal	pal	NOUN
iajs-1809	13	16	,	,	PUNCT
iajs-1809	13	17	and	and	CCONJ
iajs-1809	13	18	woo	woo	VERB
iajs-1809	13	19	(	(	PUNCT
iajs-1809	13	20	2012	2012	NUM
iajs-1809	13	21	)	)	PUNCT
iajs-1809	13	22	,	,	PUNCT
iajs-1809	13	23	they	they	PRON
iajs-1809	13	24	estimated	estimate	VERB
iajs-1809	13	25	the	the	DET
iajs-1809	13	26	(	(	PUNCT
iajs-1809	13	27	s	s	NOUN
iajs-1809	13	28	-	-	PUNCT
iajs-1809	13	29	s	s	NOUN
iajs-1809	13	30	)	)	PUNCT
iajs-1809	13	31	reliability	reliability	NOUN
iajs-1809	13	32	of	of	ADP
iajs-1809	13	33	generalized	generalized	ADJ
iajs-1809	13	34	gamma	gamma	NOUN
iajs-1809	13	35	distribution	distribution	NOUN
iajs-1809	13	36	with	with	ADP
iajs-1809	13	37	four	four	NUM
iajs-1809	13	38	parameters	parameter	NOUN
iajs-1809	14	1	[	[	X
iajs-1809	14	2	3	3	NUM
iajs-1809	14	3	]	]	PUNCT
iajs-1809	14	4	.	.	PUNCT
iajs-1809	15	1	hussian	hussian	PROPN
iajs-1809	15	2	in	in	ADP
iajs-1809	15	3	2013	2013	NUM
iajs-1809	15	4	,	,	PUNCT
iajs-1809	15	5	considered	consider	VERB
iajs-1809	15	6	the	the	DET
iajs-1809	15	7	estimation	estimation	NOUN
iajs-1809	15	8	of	of	ADP
iajs-1809	15	9	the	the	DET
iajs-1809	15	10	reliability	reliability	NOUN
iajs-1809	15	11	of	of	ADP
iajs-1809	15	12	stress	stress	NOUN
iajs-1809	15	13	strength	strength	NOUN
iajs-1809	15	14	model	model	NOUN
iajs-1809	15	15	for	for	ADP
iajs-1809	15	16	generalized	generalized	ADJ
iajs-1809	15	17	inverted	invert	VERB
iajs-1809	15	18	exponential	exponential	ADJ
iajs-1809	15	19	distribution	distribution	NOUN
iajs-1809	15	20	[	[	X
iajs-1809	15	21	11	11	NUM
iajs-1809	15	22	]	]	PUNCT
iajs-1809	15	23	.	.	PUNCT
iajs-1809	16	1	ghitany	ghitany	PROPN
iajs-1809	16	2	et	et	PROPN
iajs-1809	16	3	al	al	PROPN
iajs-1809	16	4	.	.	PROPN
iajs-1809	16	5	(	(	PUNCT
iajs-1809	16	6	2015	2015	NUM
iajs-1809	16	7	)	)	PUNCT
iajs-1809	16	8	,	,	PUNCT
iajs-1809	16	9	studied	study	VERB
iajs-1809	16	10	estimation	estimation	NOUN
iajs-1809	16	11	of	of	ADP
iajs-1809	16	12	the	the	DET
iajs-1809	16	13	reliability	reliability	NOUN
iajs-1809	16	14	of	of	ADP
iajs-1809	16	15	stress	stress	NOUN
iajs-1809	16	16	-	-	PUNCT
iajs-1809	16	17	strength	strength	NOUN
iajs-1809	16	18	system	system	NOUN
iajs-1809	16	19	from	from	ADP
iajs-1809	16	20	power	power	NOUN
iajs-1809	16	21	lindley	lindley	NOUN
iajs-1809	16	22	distribution	distribution	NOUN
iajs-1809	16	23	[	[	X
iajs-1809	16	24	7	7	NUM
iajs-1809	16	25	]	]	PUNCT
iajs-1809	16	26	.	.	PUNCT
iajs-1809	17	1	najarzadegan	najarzadegan	VERB
iajs-1809	17	2	et	et	PROPN
iajs-1809	17	3	al	al	PROPN
iajs-1809	17	4	.	.	PUNCT
iajs-1809	18	1	(	(	PUNCT
iajs-1809	18	2	2016	2016	NUM
iajs-1809	18	3	)	)	PUNCT
iajs-1809	18	4	,	,	PUNCT
iajs-1809	18	5	considered	consider	VERB
iajs-1809	18	6	the	the	DET
iajs-1809	18	7	estimation	estimation	NOUN
iajs-1809	18	8	of	of	ADP
iajs-1809	18	9	p	p	PROPN
iajs-1809	18	10	(	(	PUNCT
iajs-1809	18	11	y	y	NOUN
iajs-1809	18	12	<	<	X
iajs-1809	18	13	x	x	X
iajs-1809	18	14	)	)	PUNCT
iajs-1809	18	15	for	for	ADP
iajs-1809	18	16	the	the	DET
iajs-1809	18	17	levy	levy	NOUN
iajs-1809	18	18	distribution	distribution	NOUN
iajs-1809	18	19	[	[	X
iajs-1809	18	20	18	18	NUM
iajs-1809	18	21	]	]	PUNCT
iajs-1809	18	22	.	.	PUNCT
iajs-1809	19	1	the	the	DET
iajs-1809	19	2	reliability	reliability	NOUN
iajs-1809	19	3	of	of	ADP
iajs-1809	19	4	the	the	DET
iajs-1809	19	5	system	system	NOUN
iajs-1809	19	6	model	model	NOUN
iajs-1809	19	7	;	;	PUNCT
iajs-1809	19	8	s	s	VERB
iajs-1809	19	9	out	out	ADP
iajs-1809	19	10	of	of	ADP
iajs-1809	19	11	k	k	PROPN
iajs-1809	19	12	(	(	PUNCT
iajs-1809	19	13	s	s	PROPN
iajs-1809	19	14	-	-	PUNCT
iajs-1809	19	15	k	k	NOUN
iajs-1809	19	16	)	)	PUNCT
iajs-1809	19	17	denoted	denote	VERB
iajs-1809	19	18	by	by	ADP
iajs-1809	19	19	r(s	r(s	PROPN
iajs-1809	19	20	,	,	PUNCT
iajs-1809	19	21	k	k	NOUN
iajs-1809	19	22	)	)	PUNCT
iajs-1809	19	23	functioning	function	VERB
iajs-1809	19	24	when	when	SCONJ
iajs-1809	19	25	at	at	ADP
iajs-1809	19	26	least	least	ADJ
iajs-1809	19	27	s	s	VERB
iajs-1809	19	28	(	(	PUNCT
iajs-1809	19	29	1≤s≤k	1≤s≤k	NUM
iajs-1809	19	30	)	)	PUNCT
iajs-1809	19	31	of	of	ADP
iajs-1809	19	32	components	component	NOUN
iajs-1809	19	33	survive	survive	VERB
iajs-1809	19	34	was	be	AUX
iajs-1809	19	35	introduced	introduce	VERB
iajs-1809	19	36	by	by	ADP
iajs-1809	19	37	bhattacharyya	bhattacharyya	ADJ
iajs-1809	19	38	and	and	CCONJ
iajs-1809	19	39	johnson	johnson	PROPN
iajs-1809	19	40	(	(	PUNCT
iajs-1809	19	41	1974	1974	NUM
iajs-1809	19	42	)	)	PUNCT
iajs-1809	19	43	.	.	PUNCT
iajs-1809	20	1	"	"	PUNCT
iajs-1809	20	2	they	they	PRON
iajs-1809	20	3	developed	develop	VERB
iajs-1809	20	4	the	the	DET
iajs-1809	20	5	reliability	reliability	NOUN
iajs-1809	20	6	multi	multi	ADJ
iajs-1809	20	7	-	-	ADJ
iajs-1809	20	8	component	component	ADJ
iajs-1809	20	9	stress	stress	NOUN
iajs-1809	20	10	-	-	PUNCT
iajs-1809	20	11	strength	strength	NOUN
iajs-1809	20	12	system	system	NOUN
iajs-1809	20	13	model	model	NOUN
iajs-1809	20	14	r(s	r(s	PROPN
iajs-1809	20	15	,	,	PUNCT
iajs-1809	20	16	k	k	NOUN
iajs-1809	20	17	)	)	PUNCT
iajs-1809	20	18	which	which	PRON
iajs-1809	20	19	including	include	VERB
iajs-1809	20	20	k	k	PROPN
iajs-1809	20	21	of	of	ADP
iajs-1809	20	22	a	a	DET
iajs-1809	20	23	component	component	NOUN
iajs-1809	20	24	and	and	CCONJ
iajs-1809	20	25	identical	identical	ADJ
iajs-1809	20	26	strength	strength	NOUN
iajs-1809	20	27	component	component	NOUN
iajs-1809	20	28	put	put	VERB
iajs-1809	20	29	up	up	ADP
iajs-1809	20	30	with	with	ADP
iajs-1809	20	31	common	common	ADJ
iajs-1809	20	32	stress	stress	NOUN
iajs-1809	20	33	function	function	NOUN
iajs-1809	20	34	if	if	SCONJ
iajs-1809	20	35	s	s	X
iajs-1809	20	36	(	(	PUNCT
iajs-1809	20	37	1≤s≤k	1≤s≤k	NUM
iajs-1809	20	38	)	)	PUNCT
iajs-1809	20	39	or	or	CCONJ
iajs-1809	20	40	more	more	ADJ
iajs-1809	20	41	of	of	ADP
iajs-1809	20	42	the	the	DET
iajs-1809	20	43	components	component	NOUN
iajs-1809	20	44	simultaneously	simultaneously	ADV
iajs-1809	20	45	operate";[6	operate";[6	PRON
iajs-1809	20	46	]	]	PUNCT
iajs-1809	20	47	.	.	PUNCT
iajs-1809	21	1	this	this	DET
iajs-1809	21	2	system	system	NOUN
iajs-1809	21	3	works	work	VERB
iajs-1809	21	4	successfully	successfully	ADV
iajs-1809	21	5	,	,	PUNCT
iajs-1809	21	6	if	if	SCONJ
iajs-1809	21	7	at	at	ADV
iajs-1809	21	8	least	least	ADJ
iajs-1809	21	9	s	s	VERB
iajs-1809	21	10	out	out	ADP
iajs-1809	21	11	of	of	ADP
iajs-1809	21	12	k	k	PROPN
iajs-1809	21	13	components	component	NOUN
iajs-1809	21	14	resist	resist	VERB
iajs-1809	21	15	the	the	DET
iajs-1809	21	16	stress	stress	NOUN
iajs-1809	21	17	.	.	PUNCT
iajs-1809	22	1	noted	note	VERB
iajs-1809	22	2	that	that	SCONJ
iajs-1809	22	3	,	,	PUNCT
iajs-1809	22	4	if	if	SCONJ
iajs-1809	22	5	s=1	s=1	X
iajs-1809	22	6	and	and	CCONJ
iajs-1809	22	7	s	s	PROPN
iajs-1809	22	8	=	=	X
iajs-1809	22	9	k	k	PROPN
iajs-1809	22	10	corresponded	correspond	VERB
iajs-1809	22	11	respectively	respectively	ADV
iajs-1809	22	12	,	,	PUNCT
iajs-1809	22	13	to	to	PART
iajs-1809	22	14	parallel	parallel	VERB
iajs-1809	22	15	and	and	CCONJ
iajs-1809	22	16	series	series	NOUN
iajs-1809	22	17	systems	system	NOUN
iajs-1809	22	18	.	.	PUNCT
iajs-1809	23	1	the	the	DET
iajs-1809	23	2	mentioned	mention	VERB
iajs-1809	23	3	model	model	NOUN
iajs-1809	23	4	was	be	AUX
iajs-1809	23	5	used	use	VERB
iajs-1809	23	6	in	in	ADP
iajs-1809	23	7	many	many	ADJ
iajs-1809	23	8	applications	application	NOUN
iajs-1809	23	9	in	in	ADP
iajs-1809	23	10	physics	physics	NOUN
iajs-1809	23	11	and	and	CCONJ
iajs-1809	23	12	engineering	engineering	NOUN
iajs-1809	23	13	such	such	ADJ
iajs-1809	23	14	as	as	ADP
iajs-1809	23	15	strength	strength	NOUN
iajs-1809	23	16	failure	failure	NOUN
iajs-1809	23	17	and	and	CCONJ
iajs-1809	23	18	the	the	DET
iajs-1809	23	19	system	system	NOUN
iajs-1809	23	20	collapse	collapse	NOUN
iajs-1809	23	21	[	[	X
iajs-1809	23	22	9	9	NUM
iajs-1809	23	23	]	]	PUNCT
iajs-1809	23	24	.	.	PUNCT
iajs-1809	24	1	in	in	ADP
iajs-1809	24	2	2010	2010	NUM
iajs-1809	24	3	,	,	PUNCT
iajs-1809	24	4	rao	rao	PROPN
iajs-1809	24	5	&	&	CCONJ
iajs-1809	24	6	kantam	kantam	PROPN
iajs-1809	24	7	studied	study	VERB
iajs-1809	24	8	a	a	DET
iajs-1809	24	9	system	system	NOUN
iajs-1809	24	10	of	of	ADP
iajs-1809	24	11	k	k	PROPN
iajs-1809	24	12	multi	multi	NOUN
iajs-1809	24	13	-	-	NOUN
iajs-1809	24	14	component	component	NOUN
iajs-1809	24	15	which	which	PRON
iajs-1809	24	16	have	have	AUX
iajs-1809	24	17	independently	independently	ADV
iajs-1809	24	18	and	and	CCONJ
iajs-1809	24	19	identically	identically	ADV
iajs-1809	24	20	strength	strength	VERB
iajs-1809	24	21	x1	x1	PROPN
iajs-1809	24	22	,	,	PUNCT
iajs-1809	24	23	x2	x2	PROPN
iajs-1809	24	24	,	,	PUNCT
iajs-1809	24	25	…	…	PUNCT
iajs-1809	24	26	,	,	PUNCT
iajs-1809	24	27	xk	xk	PROPN
iajs-1809	24	28	random	random	ADJ
iajs-1809	24	29	variables	variable	NOUN
iajs-1809	24	30	distributed	distribute	VERB
iajs-1809	24	31	experiencing	experience	VERB
iajs-1809	24	32	the	the	DET
iajs-1809	24	33	random	random	ADJ
iajs-1809	24	34	stress	stress	NOUN
iajs-1809	24	35	y	y	PROPN
iajs-1809	24	36	when	when	SCONJ
iajs-1809	24	37	stress	stress	NOUN
iajs-1809	24	38	and	and	CCONJ
iajs-1809	24	39	strength	strength	NOUN
iajs-1809	24	40	follow	follow	VERB
iajs-1809	24	41	the	the	DET
iajs-1809	24	42	log	log	NOUN
iajs-1809	24	43	–	–	PUNCT
iajs-1809	24	44	logistic	logistic	ADJ
iajs-1809	24	45	distribution	distribution	NOUN
iajs-1809	24	46	[	[	X
iajs-1809	24	47	21	21	NUM
iajs-1809	24	48	]	]	PUNCT
iajs-1809	24	49	.	.	PUNCT
iajs-1809	25	1	srinivasa	srinivasa	PROPN
iajs-1809	25	2	rao	rao	PROPN
iajs-1809	25	3	(	(	PUNCT
iajs-1809	25	4	2012	2012	NUM
iajs-1809	25	5	)	)	PUNCT
iajs-1809	25	6	estimated	estimate	VERB
iajs-1809	25	7	the	the	DET
iajs-1809	25	8	multicomponent	multicomponent	NOUN
iajs-1809	25	9	system	system	NOUN
iajs-1809	25	10	of	of	ADP
iajs-1809	25	11	reliability	reliability	NOUN
iajs-1809	25	12	for	for	ADP
iajs-1809	25	13	log	log	NOUN
iajs-1809	25	14	-	-	PUNCT
iajs-1809	25	15	logistic	logistic	ADJ
iajs-1809	25	16	distribution	distribution	NOUN
iajs-1809	25	17	with	with	ADP
iajs-1809	25	18	different	different	ADJ
iajs-1809	25	19	shape	shape	NOUN
iajs-1809	25	20	parameters	parameter	NOUN
iajs-1809	25	21	[	[	X
iajs-1809	25	22	24	24	NUM
iajs-1809	25	23	]	]	PUNCT
iajs-1809	25	24	.	.	PUNCT
iajs-1809	26	1	as	as	ADV
iajs-1809	26	2	well	well	ADV
iajs-1809	26	3	as	as	ADP
iajs-1809	26	4	,	,	PUNCT
iajs-1809	26	5	in	in	ADP
iajs-1809	26	6	the	the	DET
iajs-1809	26	7	same	same	ADJ
iajs-1809	26	8	year	year	NOUN
iajs-1809	26	9	,	,	PUNCT
iajs-1809	26	10	srinivasa	srinivasa	PROPN
iajs-1809	26	11	rao	rao	PROPN
iajs-1809	26	12	studied	study	VERB
iajs-1809	26	13	estimation	estimation	NOUN
iajs-1809	26	14	for	for	ADP
iajs-1809	26	15	the	the	DET
iajs-1809	26	16	reliability	reliability	NOUN
iajs-1809	26	17	of	of	ADP
iajs-1809	26	18	multi	multi	ADJ
iajs-1809	26	19	-	-	ADJ
iajs-1809	26	20	component	component	ADJ
iajs-1809	26	21	stress	stress	NOUN
iajs-1809	26	22	-	-	PUNCT
iajs-1809	26	23	strength	strength	NOUN
iajs-1809	26	24	model	model	NOUN
iajs-1809	26	25	based	base	VERB
iajs-1809	26	26	generalized	generalized	ADJ
iajs-1809	26	27	exponential	exponential	ADJ
iajs-1809	26	28	distribution	distribution	NOUN
iajs-1809	26	29	[	[	X
iajs-1809	26	30	23	23	NUM
iajs-1809	26	31	]	]	PUNCT
iajs-1809	26	32	.	.	PUNCT
iajs-1809	27	1	while	while	SCONJ
iajs-1809	27	2	hassan	hassan	PROPN
iajs-1809	27	3	&	&	CCONJ
iajs-1809	27	4	basheikh	basheikh	PROPN
iajs-1809	27	5	(	(	PUNCT
iajs-1809	27	6	2012	2012	NUM
iajs-1809	27	7	)	)	PUNCT
iajs-1809	27	8	studied	study	VERB
iajs-1809	27	9	reliability	reliability	NOUN
iajs-1809	27	10	estimation	estimation	NOUN
iajs-1809	27	11	of	of	ADP
iajs-1809	27	12	stressstrength	stressstrength	NOUN
iajs-1809	27	13	model	model	NOUN
iajs-1809	27	14	with	with	ADP
iajs-1809	27	15	non	non	ADJ
iajs-1809	27	16	-	-	ADJ
iajs-1809	27	17	identical	identical	ADJ
iajs-1809	27	18	component	component	NOUN
iajs-1809	27	19	strengths	strength	NOUN
iajs-1809	27	20	by	by	ADP
iajs-1809	27	21	using	use	VERB
iajs-1809	27	22	the	the	DET
iajs-1809	27	23	exponentiated	exponentiated	ADJ
iajs-1809	27	24	pareto	pareto	ADJ
iajs-1809	27	25	distribution	distribution	NOUN
iajs-1809	27	26	[	[	X
iajs-1809	27	27	9	9	NUM
iajs-1809	27	28	]	]	PUNCT
iajs-1809	27	29	.	.	PUNCT
iajs-1809	28	1	in	in	ADP
iajs-1809	28	2	2016	2016	NUM
iajs-1809	28	3	,	,	PUNCT
iajs-1809	28	4	srinivasa	srinivasa	PROPN
iajs-1809	28	5	rao	rao	PROPN
iajs-1809	28	6	et	et	PROPN
iajs-1809	28	7	al	al	PROPN
iajs-1809	28	8	.	.	PROPN
iajs-1809	28	9	estimated	estimate	VERB
iajs-1809	28	10	the	the	DET
iajs-1809	28	11	multi	multi	ADJ
iajs-1809	28	12	-	-	ADJ
iajs-1809	28	13	component	component	ADJ
iajs-1809	28	14	stress	stress	NOUN
iajs-1809	28	15	-	-	PUNCT
iajs-1809	28	16	strength	strength	NOUN
iajs-1809	28	17	reliability	reliability	NOUN
iajs-1809	28	18	of	of	ADP
iajs-1809	28	19	a	a	DET
iajs-1809	28	20	system	system	NOUN
iajs-1809	28	21	when	when	SCONJ
iajs-1809	28	22	stress	stress	NOUN
iajs-1809	28	23	and	and	CCONJ
iajs-1809	28	24	strength	strength	NOUN
iajs-1809	28	25	follow	follow	VERB
iajs-1809	28	26	exponentiated	exponentiate	VERB
iajs-1809	28	27	weibull	weibull	NOUN
iajs-1809	28	28	distribution	distribution	NOUN
iajs-1809	29	1	[	[	X
iajs-1809	29	2	22	22	NUM
iajs-1809	29	3	]	]	PUNCT
iajs-1809	29	4	.	.	PUNCT
iajs-1809	30	1	recently	recently	ADV
iajs-1809	30	2	,	,	PUNCT
iajs-1809	30	3	hassan	hassan	PROPN
iajs-1809	30	4	(	(	PUNCT
iajs-1809	30	5	2017	2017	NUM
iajs-1809	30	6	)	)	PUNCT
iajs-1809	30	7	studied	study	VERB
iajs-1809	30	8	the	the	DET
iajs-1809	30	9	estimation	estimation	NOUN
iajs-1809	30	10	of	of	ADP
iajs-1809	30	11	multi	multi	NOUN
iajs-1809	30	12	-	-	NOUN
iajs-1809	30	13	component	component	NOUN
iajs-1809	30	14	of	of	ADP
iajs-1809	30	15	reliability	reliability	NOUN
iajs-1809	30	16	(	(	PUNCT
iajs-1809	30	17	s	s	NOUN
iajs-1809	30	18	-	-	PUNCT
iajs-1809	30	19	s	s	NOUN
iajs-1809	30	20	)	)	PUNCT
iajs-1809	30	21	system	system	NOUN
iajs-1809	30	22	model	model	NOUN
iajs-1809	30	23	when	when	SCONJ
iajs-1809	30	24	each	each	PRON
iajs-1809	30	25	of	of	ADP
iajs-1809	30	26	stress	stress	NOUN
iajs-1809	30	27	and	and	CCONJ
iajs-1809	30	28	strength	strength	NOUN
iajs-1809	30	29	follows	follow	VERB
iajs-1809	30	30	lindley	lindley	NOUN
iajs-1809	30	31	distribution	distribution	NOUN
iajs-1809	30	32	[	[	X
iajs-1809	30	33	10	10	NUM
iajs-1809	30	34	]	]	PUNCT
iajs-1809	30	35	.	.	PUNCT
iajs-1809	31	1	mudholkar	mudholkar	PROPN
iajs-1809	31	2	and	and	CCONJ
iajs-1809	31	3	srivastava	srivastava	PROPN
iajs-1809	31	4	(	(	PUNCT
iajs-1809	31	5	1993	1993	NUM
iajs-1809	31	6	)	)	PUNCT
iajs-1809	31	7	introduced	introduce	VERB
iajs-1809	31	8	the	the	DET
iajs-1809	31	9	exponentiated	exponentiated	ADJ
iajs-1809	31	10	weibull	weibull	NOUN
iajs-1809	31	11	distribution	distribution	NOUN
iajs-1809	31	12	(	(	PUNCT
iajs-1809	31	13	ewd	ewd	PROPN
iajs-1809	31	14	)	)	PUNCT
iajs-1809	31	15	as	as	ADP
iajs-1809	31	16	an	an	DET
iajs-1809	31	17	extension	extension	NOUN
iajs-1809	31	18	of	of	ADP
iajs-1809	31	19	the	the	DET
iajs-1809	31	20	weibull	weibull	PROPN
iajs-1809	31	21	distribution	distribution	NOUN
iajs-1809	31	22	,	,	PUNCT
iajs-1809	31	23	the	the	DET
iajs-1809	31	24	obtained	obtain	VERB
iajs-1809	31	25	distribution	distribution	NOUN
iajs-1809	31	26	is	be	AUX
iajs-1809	31	27	characterized	characterize	VERB
iajs-1809	31	28	by	by	ADP
iajs-1809	31	29	bathtub	bathtub	PROPN
iajs-1809	31	30	-	-	PUNCT
iajs-1809	31	31	shaped	shape	VERB
iajs-1809	31	32	and	and	CCONJ
iajs-1809	31	33	model	model	NOUN
iajs-1809	31	34	failure	failure	NOUN
iajs-1809	31	35	rates	rate	NOUN
iajs-1809	31	36	besides	besides	SCONJ
iajs-1809	31	37	a	a	DET
iajs-1809	31	38	broader	broad	ADJ
iajs-1809	31	39	class	class	NOUN
iajs-1809	31	40	of	of	ADP
iajs-1809	31	41	monotone	monotone	ADJ
iajs-1809	31	42	failure	failure	NOUN
iajs-1809	31	43	rates	rate	NOUN
iajs-1809	31	44	[	[	X
iajs-1809	31	45	16	16	NUM
iajs-1809	31	46	]	]	PUNCT
iajs-1809	31	47	.	.	PUNCT
iajs-1809	32	1	mudholkar	mudholkar	PROPN
iajs-1809	32	2	et	et	PROPN
iajs-1809	32	3	al	al	PROPN
iajs-1809	32	4	.	.	PROPN
iajs-1809	33	1	(	(	PUNCT
iajs-1809	33	2	1995	1995	NUM
iajs-1809	33	3	)	)	PUNCT
iajs-1809	33	4	explained	explain	VERB
iajs-1809	33	5	also	also	ADV
iajs-1809	33	6	applications	application	NOUN
iajs-1809	33	7	of	of	ADP
iajs-1809	33	8	the	the	DET
iajs-1809	33	9	exponentiated	exponentiated	ADJ
iajs-1809	33	10	weibull	weibull	NOUN
iajs-1809	33	11	distribution	distribution	NOUN
iajs-1809	33	12	in	in	ADP
iajs-1809	33	13	reliability	reliability	NOUN
iajs-1809	33	14	and	and	CCONJ
iajs-1809	33	15	survival	survival	NOUN
iajs-1809	33	16	[	[	X
iajs-1809	33	17	17	17	NUM
iajs-1809	33	18	]	]	PUNCT
iajs-1809	33	19	.	.	PUNCT
iajs-1809	34	1	some	some	DET
iajs-1809	34	2	properties	property	NOUN
iajs-1809	34	3	and	and	CCONJ
iajs-1809	34	4	a	a	DET
iajs-1809	34	5	flood	flood	NOUN
iajs-1809	34	6	data	datum	NOUN
iajs-1809	34	7	application	application	NOUN
iajs-1809	34	8	of	of	ADP
iajs-1809	34	9	exponentiated	exponentiated	ADJ
iajs-1809	34	10	weibull	weibull	PROPN
iajs-1809	34	11	family	family	PROPN
iajs-1809	34	12	were	be	AUX
iajs-1809	34	13	studied	study	VERB
iajs-1809	34	14	by	by	ADP
iajs-1809	34	15	mudholkar	mudholkar	NOUN
iajs-1809	34	16	and	and	CCONJ
iajs-1809	34	17	ihsciconf	ihsciconf	PROPN
iajs-1809	34	18	2017	2017	NUM
iajs-1809	34	19	special	special	ADJ
iajs-1809	34	20	issue	issue	NOUN
iajs-1809	34	21	ibn	ibn	PROPN
iajs-1809	34	22	al	al	PROPN
iajs-1809	34	23	-	-	PUNCT
iajs-1809	34	24	haitham	haitham	PROPN
iajs-1809	34	25	journal	journal	PROPN
iajs-1809	34	26	for	for	ADP
iajs-1809	34	27	pure	pure	ADJ
iajs-1809	34	28	and	and	CCONJ
iajs-1809	34	29	applied	apply	VERB
iajs-1809	34	30	science	science	NOUN
iajs-1809	34	31	https://doi.org/	https://doi.org/	NOUN
iajs-1809	34	32	10.30526/2017.ihsciconf.1809	10.30526/2017.ihsciconf.1809	NUM
iajs-1809	34	33	for	for	ADP
iajs-1809	34	34	more	more	ADJ
iajs-1809	34	35	information	information	NOUN
iajs-1809	34	36	about	about	ADP
iajs-1809	34	37	the	the	DET
iajs-1809	34	38	conference	conference	NOUN
iajs-1809	34	39	please	please	INTJ
iajs-1809	34	40	visit	visit	VERB
iajs-1809	34	41	the	the	DET
iajs-1809	34	42	websites	website	NOUN
iajs-1809	34	43	:	:	PUNCT
iajs-1809	34	44	http://www.ihsciconf.org/conf/	http://www.ihsciconf.org/conf/	VERB
iajs-1809	34	45	   	   	SPACE
iajs-1809	34	46	www.ihsciconf.org	www.ihsciconf.org	ADJ
iajs-1809	34	47	   	   	SPACE
iajs-1809	34	48	mathematics|365	mathematics|365	PROPN
iajs-1809	34	49	    	    	SPACE
iajs-1809	34	50	huston	huston	PROPN
iajs-1809	34	51	(	(	PUNCT
iajs-1809	34	52	1996	1996	NUM
iajs-1809	34	53	)	)	PUNCT
iajs-1809	35	1	[	[	X
iajs-1809	35	2	15	15	NUM
iajs-1809	35	3	]	]	PUNCT
iajs-1809	35	4	.	.	PUNCT
iajs-1809	36	1	nassar	nassar	PROPN
iajs-1809	36	2	and	and	CCONJ
iajs-1809	36	3	eissa	eissa	ADJ
iajs-1809	36	4	(	(	PUNCT
iajs-1809	36	5	2003	2003	NUM
iajs-1809	36	6	)	)	PUNCT
iajs-1809	36	7	had	have	AUX
iajs-1809	36	8	done	do	VERB
iajs-1809	36	9	some	some	DET
iajs-1809	36	10	studies	study	NOUN
iajs-1809	36	11	on	on	ADP
iajs-1809	36	12	exponentiated	exponentiated	ADJ
iajs-1809	36	13	weibull	weibull	NOUN
iajs-1809	36	14	distribution	distribution	NOUN
iajs-1809	36	15	model	model	NOUN
iajs-1809	36	16	[	[	X
iajs-1809	36	17	19	19	NUM
iajs-1809	36	18	]	]	PUNCT
iajs-1809	36	19	.	.	PUNCT
iajs-1809	37	1	several	several	ADJ
iajs-1809	37	2	authors	author	NOUN
iajs-1809	37	3	have	have	AUX
iajs-1809	37	4	been	be	AUX
iajs-1809	37	5	used	use	VERB
iajs-1809	37	6	the	the	DET
iajs-1809	37	7	(	(	PUNCT
iajs-1809	37	8	ewd	ewd	PROPN
iajs-1809	37	9	)	)	PUNCT
iajs-1809	37	10	as	as	ADP
iajs-1809	37	11	a	a	DET
iajs-1809	37	12	model	model	NOUN
iajs-1809	37	13	of	of	ADP
iajs-1809	37	14	many	many	ADJ
iajs-1809	37	15	fields	field	NOUN
iajs-1809	37	16	like	like	ADP
iajs-1809	37	17	flood	flood	NOUN
iajs-1809	37	18	data	datum	NOUN
iajs-1809	37	19	,	,	PUNCT
iajs-1809	37	20	biological	biological	ADJ
iajs-1809	37	21	studies	study	NOUN
iajs-1809	37	22	also	also	ADV
iajs-1809	37	23	in	in	ADP
iajs-1809	37	24	physical	physical	ADJ
iajs-1809	37	25	explanation	explanation	NOUN
iajs-1809	37	26	…	…	PUNCT
iajs-1809	37	27	etc	etc	X
iajs-1809	37	28	.	.	X
iajs-1809	38	1	the	the	DET
iajs-1809	38	2	aim	aim	NOUN
iajs-1809	38	3	of	of	ADP
iajs-1809	38	4	this	this	DET
iajs-1809	38	5	paper	paper	NOUN
iajs-1809	38	6	is	be	AUX
iajs-1809	38	7	to	to	PART
iajs-1809	38	8	estimate	estimate	VERB
iajs-1809	38	9	the	the	DET
iajs-1809	38	10	multi	multi	ADJ
iajs-1809	38	11	-	-	ADJ
iajs-1809	38	12	component	component	ADJ
iajs-1809	38	13	system	system	NOUN
iajs-1809	38	14	reliability	reliability	NOUN
iajs-1809	38	15	of	of	ADP
iajs-1809	38	16	stressstrength	stressstrength	NOUN
iajs-1809	38	17	model	model	NOUN
iajs-1809	38	18	r(s	r(s	PROPN
iajs-1809	38	19	,	,	PUNCT
iajs-1809	38	20	k	k	NOUN
iajs-1809	38	21	)	)	PUNCT
iajs-1809	38	22	based	base	VERB
iajs-1809	38	23	on	on	ADP
iajs-1809	38	24	exponentiated	exponentiate	VERB
iajs-1809	38	25	weibull	weibull	NOUN
iajs-1809	38	26	distribution	distribution	NOUN
iajs-1809	38	27	with	with	ADP
iajs-1809	38	28	known	know	VERB
iajs-1809	38	29	shape	shape	NOUN
iajs-1809	38	30	parameter	parameter	NOUN
iajs-1809	38	31	θ	θ	PROPN
iajs-1809	38	32	and	and	CCONJ
iajs-1809	38	33	the	the	DET
iajs-1809	38	34	other	other	ADJ
iajs-1809	38	35	shape	shape	NOUN
iajs-1809	38	36	parameter	parameter	NOUN
iajs-1809	38	37	α	α	PROPN
iajs-1809	38	38	will	will	AUX
iajs-1809	38	39	be	be	AUX
iajs-1809	38	40	unknown	unknown	ADJ
iajs-1809	38	41	via	via	ADP
iajs-1809	38	42	different	different	ADJ
iajs-1809	38	43	estimation	estimation	NOUN
iajs-1809	38	44	methods	method	NOUN
iajs-1809	38	45	like	like	ADP
iajs-1809	38	46	maximum	maximum	ADJ
iajs-1809	38	47	likelihood	likelihood	NOUN
iajs-1809	38	48	estimator	estimator	NOUN
iajs-1809	38	49	mle	mle	PROPN
iajs-1809	38	50	,	,	PUNCT
iajs-1809	38	51	the	the	DET
iajs-1809	38	52	modified	modify	VERB
iajs-1809	38	53	thompson	thompson	PROPN
iajs-1809	38	54	shrinkage	shrinkage	NOUN
iajs-1809	38	55	method	method	NOUN
iajs-1809	38	56	th	th	PROPN
iajs-1809	38	57	,	,	PUNCT
iajs-1809	38	58	the	the	DET
iajs-1809	38	59	least	least	ADV
iajs-1809	38	60	square	square	ADJ
iajs-1809	38	61	ls	ls	ADJ
iajs-1809	38	62	,	,	PUNCT
iajs-1809	38	63	as	as	ADV
iajs-1809	38	64	well	well	ADV
iajs-1809	38	65	as	as	ADP
iajs-1809	38	66	some	some	PRON
iajs-1809	38	67	of	of	ADP
iajs-1809	38	68	the	the	DET
iajs-1809	38	69	ranked	rank	VERB
iajs-1809	38	70	set	set	NOUN
iajs-1809	38	71	sampling	sample	VERB
iajs-1809	38	72	rss	rss	NOUN
iajs-1809	38	73	.	.	PUNCT
iajs-1809	39	1	the	the	DET
iajs-1809	39	2	comparisons	comparison	NOUN
iajs-1809	39	3	between	between	ADP
iajs-1809	39	4	the	the	DET
iajs-1809	39	5	proposed	propose	VERB
iajs-1809	39	6	estimator	estimator	NOUN
iajs-1809	39	7	methods	method	NOUN
iajs-1809	39	8	by	by	ADP
iajs-1809	39	9	using	use	VERB
iajs-1809	39	10	simulation	simulation	NOUN
iajs-1809	39	11	are	be	AUX
iajs-1809	39	12	performed	perform	VERB
iajs-1809	39	13	,	,	PUNCT
iajs-1809	39	14	depends	depend	VERB
iajs-1809	39	15	on	on	ADP
iajs-1809	39	16	a	a	DET
iajs-1809	39	17	mean	mean	ADJ
iajs-1809	39	18	squared	square	VERB
iajs-1809	39	19	error	error	NOUN
iajs-1809	39	20	as	as	ADP
iajs-1809	39	21	criteria	criterion	NOUN
iajs-1809	39	22	.	.	PUNCT
iajs-1809	40	1	now	now	ADV
iajs-1809	40	2	,	,	PUNCT
iajs-1809	40	3	if	if	SCONJ
iajs-1809	40	4	the	the	DET
iajs-1809	40	5	two	two	NUM
iajs-1809	40	6	random	random	ADJ
iajs-1809	40	7	variables	variable	NOUN
iajs-1809	40	8	x	x	PUNCT
iajs-1809	40	9	and	and	CCONJ
iajs-1809	40	10	y	y	PROPN
iajs-1809	40	11	follows	follow	VERB
iajs-1809	40	12	the	the	DET
iajs-1809	40	13	ewd	ewd	PROPN
iajs-1809	40	14	with	with	ADP
iajs-1809	40	15	parameter	parameter	NOUN
iajs-1809	40	16	(	(	PUNCT
iajs-1809	40	17	α1	α1	PROPN
iajs-1809	40	18	,	,	PUNCT
iajs-1809	40	19	θ	θ	NOUN
iajs-1809	40	20	)	)	PUNCT
iajs-1809	40	21	and	and	CCONJ
iajs-1809	40	22	(	(	PUNCT
iajs-1809	40	23	α1,θ	α1,θ	PROPN
iajs-1809	40	24	)	)	PUNCT
iajs-1809	40	25	as	as	ADP
iajs-1809	40	26	stress	stress	NOUN
iajs-1809	40	27	and	and	CCONJ
iajs-1809	40	28	strength	strength	NOUN
iajs-1809	40	29	respectively	respectively	ADV
iajs-1809	40	30	as	as	ADP
iajs-1809	40	31	below	below	ADV
iajs-1809	40	32	:	:	PUNCT
iajs-1809	40	33	𝑓	𝑓	DET
iajs-1809	40	34	𝑥	𝑥	NOUN
iajs-1809	40	35	;	;	PUNCT
iajs-1809	40	36	𝛼	𝛼	X
iajs-1809	40	37	,	,	PUNCT
iajs-1809	40	38	𝜃	𝜃	X
iajs-1809	40	39	𝛼	𝛼	NOUN
iajs-1809	40	40	𝜃𝑥	𝜃𝑥	NOUN
iajs-1809	40	41	𝑒	𝑒	PROPN
iajs-1809	40	42	1	1	NUM
iajs-1809	40	43	𝑒	𝑒	PROPN
iajs-1809	40	44	x>0	x>0	PROPN
iajs-1809	40	45	,	,	PUNCT
iajs-1809	40	46	𝛼	𝛼	X
iajs-1809	40	47	,	,	PUNCT
iajs-1809	40	48	θ>0	θ>0	PROPN
iajs-1809	40	49	(	(	PUNCT
iajs-1809	40	50	1	1	NUM
iajs-1809	40	51	)	)	PUNCT
iajs-1809	40	52	𝑓	𝑓	PRON
iajs-1809	40	53	𝑦	𝑦	NOUN
iajs-1809	40	54	;	;	PUNCT
iajs-1809	40	55	𝛼	𝛼	X
iajs-1809	40	56	,	,	PUNCT
iajs-1809	40	57	𝜃	𝜃	X
iajs-1809	40	58	𝛼	𝛼	NOUN
iajs-1809	40	59	𝜃𝑦	𝜃𝑦	NOUN
iajs-1809	40	60	𝑒	𝑒	PROPN
iajs-1809	40	61	1	1	NUM
iajs-1809	40	62	𝑒	𝑒	PROPN
iajs-1809	40	63	y>0	y>0	PRON
iajs-1809	40	64	,	,	PUNCT
iajs-1809	40	65	𝛼	𝛼	INTJ
iajs-1809	40	66	,	,	PUNCT
iajs-1809	40	67	θ>0	θ>0	ADJ
iajs-1809	40	68	(	(	PUNCT
iajs-1809	40	69	2	2	NUM
iajs-1809	40	70	)	)	PUNCT
iajs-1809	40	71	while	while	SCONJ
iajs-1809	40	72	the	the	DET
iajs-1809	40	73	cumulative	cumulative	ADJ
iajs-1809	40	74	distribution	distribution	NOUN
iajs-1809	40	75	function	function	NOUN
iajs-1809	40	76	(	(	PUNCT
iajs-1809	40	77	cdf	cdf	PROPN
iajs-1809	40	78	.	.	PUNCT
iajs-1809	40	79	)	)	PUNCT
iajs-1809	40	80	is	be	AUX
iajs-1809	40	81	:	:	PUNCT
iajs-1809	40	82	𝐹	𝐹	PROPN
iajs-1809	40	83	𝑥	𝑥	NOUN
iajs-1809	40	84	,	,	PUNCT
iajs-1809	40	85	𝛼	𝛼	PROPN
iajs-1809	40	86	1	1	NUM
iajs-1809	40	87	𝑒	𝑒	ADP
iajs-1809	40	88	𝑥	𝑥	PROPN
iajs-1809	40	89	0	0	NUM
iajs-1809	40	90	,	,	PUNCT
iajs-1809	40	91	𝛼	𝛼	PRON
iajs-1809	40	92	,	,	PUNCT
iajs-1809	40	93	𝜃	𝜃	NOUN
iajs-1809	40	94	0	0	NUM
iajs-1809	40	95	(	(	PUNCT
iajs-1809	40	96	3	3	NUM
iajs-1809	40	97	)	)	PUNCT
iajs-1809	40	98	𝐹	𝐹	PROPN
iajs-1809	40	99	𝑦	𝑦	NOUN
iajs-1809	40	100	,	,	PUNCT
iajs-1809	40	101	𝛼	𝛼	PROPN
iajs-1809	40	102	1	1	NUM
iajs-1809	40	103	𝑒	𝑒	PROPN
iajs-1809	40	104	𝑦	𝑦	PROPN
iajs-1809	40	105	0	0	NUM
iajs-1809	40	106	,	,	PUNCT
iajs-1809	40	107	𝛼	𝛼	PRON
iajs-1809	40	108	,	,	PUNCT
iajs-1809	40	109	𝜃	𝜃	NOUN
iajs-1809	40	110	0	0	NUM
iajs-1809	40	111	(	(	PUNCT
iajs-1809	40	112	4	4	NUM
iajs-1809	40	113	)	)	PUNCT
iajs-1809	40	114	in	in	SCONJ
iajs-1809	40	115	order	order	NOUN
iajs-1809	40	116	to	to	PART
iajs-1809	40	117	find	find	VERB
iajs-1809	40	118	a	a	DET
iajs-1809	40	119	system	system	NOUN
iajs-1809	40	120	reliability	reliability	NOUN
iajs-1809	40	121	consisting	consist	VERB
iajs-1809	40	122	of	of	ADP
iajs-1809	40	123	kth	kth	PROPN
iajs-1809	40	124	identical	identical	ADJ
iajs-1809	40	125	components	component	NOUN
iajs-1809	40	126	(	(	PUNCT
iajs-1809	40	127	when	when	SCONJ
iajs-1809	40	128	at	at	ADP
iajs-1809	40	129	least	least	ADJ
iajs-1809	40	130	s	s	VERB
iajs-1809	40	131	out	out	ADP
iajs-1809	40	132	of	of	ADP
iajs-1809	40	133	k	k	PROPN
iajs-1809	40	134	function	function	NOUN
iajs-1809	40	135	)	)	PUNCT
iajs-1809	40	136	for	for	ADP
iajs-1809	40	137	the	the	DET
iajs-1809	40	138	strength	strength	NOUN
iajs-1809	40	139	x1	x1	PROPN
iajs-1809	40	140	,	,	PUNCT
iajs-1809	40	141	x2	x2	PROPN
iajs-1809	40	142	,	,	PUNCT
iajs-1809	40	143	…	…	PUNCT
iajs-1809	40	144	,	,	PUNCT
iajs-1809	40	145	xk	xk	PROPN
iajs-1809	40	146	which	which	PRON
iajs-1809	40	147	are	be	AUX
iajs-1809	40	148	random	random	ADJ
iajs-1809	40	149	variables	variable	NOUN
iajs-1809	40	150	with	with	ADP
iajs-1809	40	151	ewd	ewd	PROPN
iajs-1809	40	152	(	(	PUNCT
iajs-1809	40	153	𝛼	𝛼	PROPN
iajs-1809	40	154	,	,	PUNCT
iajs-1809	40	155	𝜃	𝜃	PROPN
iajs-1809	40	156	,	,	PUNCT
iajs-1809	40	157	subjected	subject	VERB
iajs-1809	40	158	to	to	ADP
iajs-1809	40	159	a	a	DET
iajs-1809	40	160	stress	stress	NOUN
iajs-1809	40	161	y	y	PROPN
iajs-1809	40	162	which	which	PRON
iajs-1809	40	163	is	be	AUX
iajs-1809	40	164	a	a	DET
iajs-1809	40	165	random	random	ADJ
iajs-1809	40	166	variable	variable	NOUN
iajs-1809	40	167	follows	follow	VERB
iajs-1809	40	168	ewd	ewd	PROPN
iajs-1809	40	169	(	(	PUNCT
iajs-1809	40	170	𝛼	𝛼	INTJ
iajs-1809	40	171	,	,	PUNCT
iajs-1809	40	172	𝜃	𝜃	PRON
iajs-1809	40	173	depend	depend	VERB
iajs-1809	40	174	on	on	ADP
iajs-1809	40	175	bhattacharyya	bhattacharyya	ADJ
iajs-1809	40	176	and	and	CCONJ
iajs-1809	40	177	johnson	johnson	PROPN
iajs-1809	40	178	(	(	PUNCT
iajs-1809	40	179	1974	1974	NUM
iajs-1809	40	180	)	)	PUNCT
iajs-1809	40	181	,	,	PUNCT
iajs-1809	40	182	the	the	DET
iajs-1809	40	183	reliability	reliability	NOUN
iajs-1809	40	184	of	of	ADP
iajs-1809	40	185	a	a	DET
iajs-1809	40	186	multi	multi	ADJ
iajs-1809	40	187	-	-	ADJ
iajs-1809	40	188	component	component	ADJ
iajs-1809	40	189	stress	stress	NOUN
iajs-1809	40	190	-	-	PUNCT
iajs-1809	40	191	strength	strength	NOUN
iajs-1809	40	192	model	model	NOUN
iajs-1809	40	193	r(s	r(s	PROPN
iajs-1809	40	194	,	,	PUNCT
iajs-1809	40	195	k	k	NOUN
iajs-1809	40	196	)	)	PUNCT
iajs-1809	40	197	;	;	PUNCT
iajs-1809	41	1	[	[	X
iajs-1809	41	2	5	5	NUM
iajs-1809	41	3	]	]	PUNCT
iajs-1809	41	4	can	can	AUX
iajs-1809	41	5	be	be	AUX
iajs-1809	41	6	calculated	calculate	VERB
iajs-1809	41	7	as	as	ADP
iajs-1809	41	8	r(s	r(s	PROPN
iajs-1809	41	9	,	,	PUNCT
iajs-1809	41	10	k	k	NOUN
iajs-1809	41	11	)	)	PUNCT
iajs-1809	42	1	=	=	NOUN
iajs-1809	42	2	p(at	p(at	NOUN
iajs-1809	42	3	least	least	ADJ
iajs-1809	42	4	s	s	PROPN
iajs-1809	42	5	of	of	ADP
iajs-1809	42	6	the	the	DET
iajs-1809	42	7	x1	x1	PROPN
iajs-1809	42	8	,	,	PUNCT
iajs-1809	42	9	x2	x2	PROPN
iajs-1809	42	10	,	,	PUNCT
iajs-1809	42	11	…	…	PUNCT
iajs-1809	42	12	,	,	PUNCT
iajs-1809	42	13	xk	xk	PROPN
iajs-1809	42	14	exceed	exceed	VERB
iajs-1809	42	15	y	y	NOUN
iajs-1809	42	16	)	)	PUNCT
iajs-1809	43	1	=	=	NOUN
iajs-1809	43	2	∑	∑	PROPN
iajs-1809	43	3	1	1	NUM
iajs-1809	43	4	𝐹	𝐹	PROPN
iajs-1809	43	5	𝑦	𝑦	PRON
iajs-1809	43	6	𝐹	𝐹	PROPN
iajs-1809	43	7	𝑦	𝑦	PROPN
iajs-1809	43	8	𝑑𝐺	𝑑𝐺	NOUN
iajs-1809	43	9	𝑦	𝑦	PROPN
iajs-1809	43	10	=	=	NOUN
iajs-1809	43	11	∑	∑	PROPN
iajs-1809	43	12	1	1	NUM
iajs-1809	43	13	1	1	NUM
iajs-1809	43	14	𝑒	𝑒	PROPN
iajs-1809	43	15	1	1	NUM
iajs-1809	43	16	𝑒	𝑒	PROPN
iajs-1809	43	17	𝛼	𝛼	PROPN
iajs-1809	43	18	𝜃𝑦	𝜃𝑦	NOUN
iajs-1809	43	19	𝑒	𝑒	PROPN
iajs-1809	43	20	1	1	NUM
iajs-1809	43	21	𝑒	𝑒	NOUN
iajs-1809	43	22	𝑑𝑦	𝑑𝑦	NOUN
iajs-1809	43	23	=	=	NOUN
iajs-1809	43	24	∑	∑	PROPN
iajs-1809	43	25	1	1	NUM
iajs-1809	43	26	1	1	NUM
iajs-1809	43	27	𝑒	𝑒	PROPN
iajs-1809	43	28	𝛼	𝛼	PROPN
iajs-1809	43	29	𝜃𝑦	𝜃𝑦	NOUN
iajs-1809	43	30	𝑒	𝑒	PROPN
iajs-1809	43	31	1	1	NUM
iajs-1809	43	32	𝑒	𝑒	NOUN
iajs-1809	43	33	𝑑𝑦	𝑑𝑦	NOUN
iajs-1809	43	34	and	and	CCONJ
iajs-1809	43	35	by	by	ADP
iajs-1809	43	36	some	some	PRON
iajs-1809	43	37	of	of	ADP
iajs-1809	43	38	the	the	DET
iajs-1809	43	39	simplification	simplification	NOUN
iajs-1809	43	40	,	,	PUNCT
iajs-1809	43	41	we	we	PRON
iajs-1809	43	42	get	get	VERB
iajs-1809	43	43	r(s	r(s	PROPN
iajs-1809	43	44	,	,	PUNCT
iajs-1809	43	45	k)=	k)=	VERB
iajs-1809	43	46	∑	∑	PUNCT
iajs-1809	43	47	!	!	PUNCT
iajs-1809	43	48	!	!	PUNCT
iajs-1809	44	1	∏	∏	PROPN
iajs-1809	45	1	𝑘	𝑘	DET
iajs-1809	45	2	𝑗	𝑗	X
iajs-1809	45	3	;	;	PUNCT
iajs-1809	45	4	where	where	SCONJ
iajs-1809	45	5	k	k	NOUN
iajs-1809	45	6	,	,	PUNCT
iajs-1809	45	7	i	i	PRON
iajs-1809	45	8	and	and	CCONJ
iajs-1809	45	9	j	j	PROPN
iajs-1809	45	10	are	be	AUX
iajs-1809	45	11	integers	integer	NOUN
iajs-1809	45	12	(	(	PUNCT
iajs-1809	45	13	5	5	NUM
iajs-1809	45	14	)	)	PUNCT
iajs-1809	45	15	ihsciconf	ihsciconf	NOUN
iajs-1809	45	16	2017	2017	NUM
iajs-1809	45	17	special	special	ADJ
iajs-1809	45	18	issue	issue	NOUN
iajs-1809	45	19	ibn	ibn	PROPN
iajs-1809	45	20	al	al	PROPN
iajs-1809	45	21	-	-	PUNCT
iajs-1809	45	22	haitham	haitham	PROPN
iajs-1809	45	23	journal	journal	PROPN
iajs-1809	45	24	for	for	ADP
iajs-1809	45	25	pure	pure	ADJ
iajs-1809	45	26	and	and	CCONJ
iajs-1809	45	27	applied	apply	VERB
iajs-1809	45	28	science	science	NOUN
iajs-1809	45	29	https://doi.org/	https://doi.org/	NOUN
iajs-1809	45	30	10.30526/2017.ihsciconf.1809	10.30526/2017.ihsciconf.1809	NUM
iajs-1809	45	31	for	for	ADP
iajs-1809	45	32	more	more	ADJ
iajs-1809	45	33	information	information	NOUN
iajs-1809	45	34	about	about	ADP
iajs-1809	45	35	the	the	DET
iajs-1809	45	36	conference	conference	NOUN
iajs-1809	45	37	please	please	INTJ
iajs-1809	45	38	visit	visit	VERB
iajs-1809	45	39	the	the	DET
iajs-1809	45	40	websites	website	NOUN
iajs-1809	45	41	:	:	PUNCT
iajs-1809	45	42	http://www.ihsciconf.org/conf/	http://www.ihsciconf.org/conf/	VERB
iajs-1809	45	43	   	   	SPACE
iajs-1809	45	44	www.ihsciconf.org	www.ihsciconf.org	X
iajs-1809	45	45	   	   	SPACE
iajs-1809	45	46	mathematics|366	mathematics|366	PROPN
iajs-1809	45	47	    	    	SPACE
iajs-1809	45	48	2	2	NUM
iajs-1809	45	49	.	.	PUNCT
iajs-1809	45	50	estimation	estimation	NOUN
iajs-1809	45	51	methods	method	NOUN
iajs-1809	45	52	of	of	ADP
iajs-1809	45	53	r(s	r(s	PROPN
iajs-1809	45	54	,	,	PUNCT
iajs-1809	45	55	k	k	NOUN
iajs-1809	45	56	):	):	PUNCT
iajs-1809	45	57	2.1	2.1	NUM
iajs-1809	45	58	maximum	maximum	ADJ
iajs-1809	45	59	likelihood	likelihood	NOUN
iajs-1809	45	60	estimator	estimator	NOUN
iajs-1809	45	61	(	(	PUNCT
iajs-1809	45	62	mle	mle	PROPN
iajs-1809	45	63	):	):	PUNCT
iajs-1809	45	64	suppose	suppose	VERB
iajs-1809	45	65	that	that	SCONJ
iajs-1809	45	66	k	k	PROPN
iajs-1809	45	67	of	of	ADP
iajs-1809	45	68	components	component	NOUN
iajs-1809	45	69	are	be	AUX
iajs-1809	45	70	put	put	VERB
iajs-1809	45	71	on	on	ADP
iajs-1809	45	72	life	life	NOUN
iajs-1809	45	73	-	-	PUNCT
iajs-1809	45	74	testing	testing	NOUN
iajs-1809	45	75	experiment	experiment	NOUN
iajs-1809	45	76	,	,	PUNCT
iajs-1809	45	77	in	in	ADP
iajs-1809	45	78	this	this	DET
iajs-1809	45	79	case	case	NOUN
iajs-1809	45	80	,	,	PUNCT
iajs-1809	45	81	we	we	PRON
iajs-1809	45	82	consider	consider	VERB
iajs-1809	45	83	that	that	PRON
iajs-1809	45	84	x1,x2,	x1,x2,	PROPN
iajs-1809	45	85	…	…	PUNCT
iajs-1809	45	86	,xn	,xn	PUNCT
iajs-1809	45	87	are	be	AUX
iajs-1809	45	88	a	a	DET
iajs-1809	45	89	random	random	ADJ
iajs-1809	45	90	sample	sample	NOUN
iajs-1809	45	91	of	of	ADP
iajs-1809	45	92	size	size	NOUN
iajs-1809	45	93	n	n	PROPN
iajs-1809	45	94	follows	follow	VERB
iajs-1809	45	95	ewd	ewd	PROPN
iajs-1809	45	96	(	(	PUNCT
iajs-1809	45	97	𝛼	𝛼	PROPN
iajs-1809	45	98	,	,	PUNCT
iajs-1809	45	99	𝜃	𝜃	X
iajs-1809	45	100	,	,	PUNCT
iajs-1809	45	101	and	and	CCONJ
iajs-1809	45	102	y1,y2,	y1,y2,	PROPN
iajs-1809	45	103	…	…	PUNCT
iajs-1809	45	104	,ym	,ym	NUM
iajs-1809	45	105	be	be	VERB
iajs-1809	45	106	a	a	DET
iajs-1809	45	107	random	random	ADJ
iajs-1809	45	108	sample	sample	NOUN
iajs-1809	45	109	of	of	ADP
iajs-1809	45	110	size	size	NOUN
iajs-1809	45	111	m	m	PROPN
iajs-1809	45	112	follows	follow	VERB
iajs-1809	45	113	ewd	ewd	PROPN
iajs-1809	45	114	(	(	PUNCT
iajs-1809	45	115	𝛼	𝛼	PROPN
iajs-1809	45	116	,	,	PUNCT
iajs-1809	45	117	𝜃	𝜃	INTJ
iajs-1809	45	118	,	,	PUNCT
iajs-1809	45	119	.	.	PUNCT
iajs-1809	46	1	then	then	ADV
iajs-1809	46	2	the	the	DET
iajs-1809	46	3	likelihood	likelihood	NOUN
iajs-1809	46	4	function	function	NOUN
iajs-1809	46	5	of	of	ADP
iajs-1809	46	6	the	the	DET
iajs-1809	46	7	mentioned	mention	VERB
iajs-1809	46	8	system	system	NOUN
iajs-1809	46	9	will	will	AUX
iajs-1809	46	10	be	be	AUX
iajs-1809	46	11	:	:	PUNCT
iajs-1809	46	12	l≡	l≡	X
iajs-1809	46	13	l(𝛼	l(𝛼	PROPN
iajs-1809	46	14	,	,	PUNCT
iajs-1809	46	15	𝛼	𝛼	INTJ
iajs-1809	46	16	,	,	PUNCT
iajs-1809	46	17	𝜃	𝜃	NOUN
iajs-1809	46	18	;	;	PUNCT
iajs-1809	46	19	𝑥	𝑥	X
iajs-1809	46	20	,	,	PUNCT
iajs-1809	46	21	𝑦)=∏	𝑦)=∏	PROPN
iajs-1809	46	22	𝑓	𝑓	PRON
iajs-1809	46	23	𝑥	𝑥	X
iajs-1809	46	24	∏	∏	PROPN
iajs-1809	46	25	𝑔	𝑔	PROPN
iajs-1809	46	26	𝑦	𝑦	NOUN
iajs-1809	46	27	)	)	PUNCT
iajs-1809	47	1	=	=	SYM
iajs-1809	47	2	∏	∏	NUM
iajs-1809	47	3	𝛼	𝛼	NOUN
iajs-1809	47	4	𝜃𝑥	𝜃𝑥	ADP
iajs-1809	47	5	𝑒	𝑒	PROPN
iajs-1809	47	6	1	1	NUM
iajs-1809	47	7	𝑒	𝑒	PROPN
iajs-1809	47	8	∏	∏	PROPN
iajs-1809	47	9	𝛼	𝛼	NOUN
iajs-1809	47	10	𝜃𝑦	𝜃𝑦	NOUN
iajs-1809	47	11	𝑒	𝑒	PROPN
iajs-1809	47	12	1	1	NUM
iajs-1809	47	13	𝑒	𝑒	PROPN
iajs-1809	47	14	=	=	NOUN
iajs-1809	47	15	𝛼	𝛼	NOUN
iajs-1809	47	16	𝜃	𝜃	NUM
iajs-1809	47	17	∏	∏	NUM
iajs-1809	47	18	𝑥	𝑥	ADV
iajs-1809	47	19	𝑒	𝑒	PROPN
iajs-1809	47	20	∑	∑	PROPN
iajs-1809	47	21	∏	∏	PROPN
iajs-1809	47	22	1	1	NUM
iajs-1809	47	23	𝑒	𝑒	PROPN
iajs-1809	47	24	𝛼	𝛼	X
iajs-1809	47	25	𝜃	𝜃	X
iajs-1809	47	26	∏	∏	PROPN
iajs-1809	47	27	𝑦	𝑦	PROPN
iajs-1809	47	28	𝑒	𝑒	PROPN
iajs-1809	47	29	∑	∑	DET
iajs-1809	47	30	∏	∏	PROPN
iajs-1809	47	31	1	1	NUM
iajs-1809	47	32	𝑒	𝑒	AUX
iajs-1809	47	33	take	take	VERB
iajs-1809	47	34	logarithm	logarithm	NOUN
iajs-1809	47	35	for	for	ADP
iajs-1809	47	36	both	both	DET
iajs-1809	47	37	sides	side	NOUN
iajs-1809	47	38	,	,	PUNCT
iajs-1809	47	39	we	we	PRON
iajs-1809	47	40	get	get	VERB
iajs-1809	47	41	:	:	PUNCT
iajs-1809	47	42	ln	ln	ADJ
iajs-1809	47	43	𝑙	𝑙	PRON
iajs-1809	47	44	𝑛𝑙𝑛𝛼	𝑛𝑙𝑛𝛼	VERB
iajs-1809	47	45	𝑛𝑙𝑛𝜃	𝑛𝑙𝑛𝜃	ADJ
iajs-1809	47	46	𝜃	𝜃	NOUN
iajs-1809	47	47	1	1	NUM
iajs-1809	47	48	∑	∑	ADV
iajs-1809	47	49	𝑙𝑛𝑥	𝑙𝑛𝑥	VERB
iajs-1809	47	50	∑	∑	PUNCT
iajs-1809	47	51	𝑥	𝑥	PROPN
iajs-1809	47	52	𝛼	𝛼	SYM
iajs-1809	47	53	1	1	NUM
iajs-1809	47	54	∑	∑	SYM
iajs-1809	47	55	1	1	NUM
iajs-1809	47	56	𝑒	𝑒	PROPN
iajs-1809	47	57	𝑚𝑙𝑛𝛼	𝑚𝑙𝑛𝛼	NOUN
iajs-1809	47	58	𝑚𝑙𝑛𝜃	𝑚𝑙𝑛𝜃	NOUN
iajs-1809	47	59	𝜃	𝜃	NOUN
iajs-1809	47	60	1	1	NUM
iajs-1809	47	61	∑	∑	ADV
iajs-1809	47	62	𝑙𝑛𝑦	𝑙𝑛𝑦	PROPN
iajs-1809	47	63	∑	∑	PROPN
iajs-1809	47	64	𝑦	𝑦	X
iajs-1809	47	65	𝛼	𝛼	NOUN
iajs-1809	47	66	1	1	NUM
iajs-1809	47	67	∑	∑	SYM
iajs-1809	47	68	1	1	NUM
iajs-1809	47	69	𝑒	𝑒	AUX
iajs-1809	47	70	derive	derive	VERB
iajs-1809	47	71	the	the	DET
iajs-1809	47	72	above	above	ADJ
iajs-1809	47	73	equation	equation	NOUN
iajs-1809	47	74	with	with	ADP
iajs-1809	47	75	respect	respect	NOUN
iajs-1809	47	76	to	to	ADP
iajs-1809	47	77	the	the	DET
iajs-1809	47	78	unknown	unknown	ADJ
iajs-1809	47	79	shape	shape	NOUN
iajs-1809	47	80	parameters	parameter	NOUN
iajs-1809	47	81	𝛼	𝛼	X
iajs-1809	47	82	(	(	PUNCT
iajs-1809	47	83	i=1,2	i=1,2	ADJ
iajs-1809	47	84	)	)	PUNCT
iajs-1809	47	85	and	and	CCONJ
iajs-1809	47	86	equating	equate	VERB
iajs-1809	47	87	the	the	DET
iajs-1809	47	88	result	result	NOUN
iajs-1809	47	89	to	to	ADP
iajs-1809	47	90	zero	zero	NUM
iajs-1809	47	91	,	,	PUNCT
iajs-1809	47	92	we	we	PRON
iajs-1809	47	93	get	get	VERB
iajs-1809	47	94	:	:	PUNCT
iajs-1809	47	95	𝑑ln	𝑑ln	NOUN
iajs-1809	47	96	𝑙	𝑙	PART
iajs-1809	47	97	𝑑𝛼	𝑑𝛼	ADP
iajs-1809	47	98	𝑛	𝑛	PROPN
iajs-1809	47	99	𝛼	𝛼	NOUN
iajs-1809	47	100	𝑙𝑛	𝑙𝑛	NOUN
iajs-1809	47	101	1	1	NUM
iajs-1809	47	102	𝑒	𝑒	PROPN
iajs-1809	47	103	0	0	NUM
iajs-1809	47	104	𝑑ln	𝑑ln	NOUN
iajs-1809	47	105	𝑙	𝑙	PROPN
iajs-1809	47	106	𝑑𝛼	𝑑𝛼	ADP
iajs-1809	47	107	𝑚	𝑚	PROPN
iajs-1809	47	108	𝛼	𝛼	PRON
iajs-1809	47	109	𝑙𝑛	𝑙𝑛	NOUN
iajs-1809	47	110	1	1	NUM
iajs-1809	47	111	𝑒	𝑒	ADP
iajs-1809	47	112	0	0	NUM
iajs-1809	48	1	thus	thus	ADV
iajs-1809	48	2	,	,	PUNCT
iajs-1809	48	3	the	the	DET
iajs-1809	48	4	maximum	maximum	ADJ
iajs-1809	48	5	likelihood	likelihood	NOUN
iajs-1809	48	6	estimator	estimator	NOUN
iajs-1809	48	7	of	of	ADP
iajs-1809	48	8	the	the	DET
iajs-1809	48	9	parameter	parameter	NOUN
iajs-1809	48	10	𝛼	𝛼	PROPN
iajs-1809	48	11	(	(	PUNCT
iajs-1809	48	12	i=1,2	i=1,2	ADJ
iajs-1809	48	13	)	)	PUNCT
iajs-1809	48	14	will	will	AUX
iajs-1809	48	15	be	be	AUX
iajs-1809	48	16	as	as	SCONJ
iajs-1809	48	17	follows	follow	VERB
iajs-1809	48	18	:	:	PUNCT
iajs-1809	48	19	𝛼	𝛼	X
iajs-1809	48	20	∑	∑	PUNCT
iajs-1809	48	21	(	(	PUNCT
iajs-1809	48	22	6	6	NUM
iajs-1809	48	23	)	)	PUNCT
iajs-1809	48	24	𝛼	𝛼	X
iajs-1809	48	25	∑	∑	PUNCT
iajs-1809	48	26	(	(	PUNCT
iajs-1809	48	27	7	7	NUM
iajs-1809	48	28	)	)	PUNCT
iajs-1809	48	29	by	by	ADP
iajs-1809	48	30	substituting	substitute	VERB
iajs-1809	48	31	𝛼	𝛼	PROPN
iajs-1809	48	32	(	(	PUNCT
iajs-1809	48	33	i=1,2	i=1,2	NOUN
iajs-1809	48	34	)	)	PUNCT
iajs-1809	48	35	in	in	ADP
iajs-1809	48	36	equation	equation	NOUN
iajs-1809	48	37	(	(	PUNCT
iajs-1809	48	38	5	5	X
iajs-1809	48	39	)	)	PUNCT
iajs-1809	48	40	we	we	PRON
iajs-1809	48	41	get	get	VERB
iajs-1809	48	42	the	the	DET
iajs-1809	48	43	reliability	reliability	NOUN
iajs-1809	48	44	estimation	estimation	NOUN
iajs-1809	48	45	for	for	ADP
iajs-1809	48	46	r(s	r(s	PROPN
iajs-1809	48	47	,	,	PUNCT
iajs-1809	48	48	k	k	NOUN
iajs-1809	48	49	)	)	PUNCT
iajs-1809	48	50	model	model	NOUN
iajs-1809	48	51	via	via	ADP
iajs-1809	48	52	maximum	maximum	ADJ
iajs-1809	48	53	likelihood	likelihood	NOUN
iajs-1809	48	54	method	method	NOUN
iajs-1809	48	55	as	as	ADP
iajs-1809	48	56	below	below	ADV
iajs-1809	48	57	:	:	PUNCT
iajs-1809	48	58	𝑅	𝑅	NOUN
iajs-1809	48	59	,	,	PUNCT
iajs-1809	48	60	∑	∑	PROPN
iajs-1809	48	61	!	!	PUNCT
iajs-1809	48	62	!	!	PUNCT
iajs-1809	49	1	∏	∏	PROPN
iajs-1809	50	1	𝑘	𝑘	DET
iajs-1809	50	2	𝑗	𝑗	PROPN
iajs-1809	50	3	(	(	PUNCT
iajs-1809	50	4	8)	8)	NUM
iajs-1809	50	5	ihsciconf	ihsciconf	NOUN
iajs-1809	50	6	2017	2017	NUM
iajs-1809	50	7	special	special	ADJ
iajs-1809	50	8	issue	issue	NOUN
iajs-1809	50	9	ibn	ibn	PROPN
iajs-1809	50	10	al	al	PROPN
iajs-1809	50	11	-	-	PUNCT
iajs-1809	50	12	haitham	haitham	PROPN
iajs-1809	50	13	journal	journal	PROPN
iajs-1809	50	14	for	for	ADP
iajs-1809	50	15	pure	pure	ADJ
iajs-1809	50	16	and	and	CCONJ
iajs-1809	50	17	applied	apply	VERB
iajs-1809	50	18	science	science	NOUN
iajs-1809	50	19	https://doi.org/	https://doi.org/	NOUN
iajs-1809	50	20	10.30526/2017.ihsciconf.1809	10.30526/2017.ihsciconf.1809	NUM
iajs-1809	50	21	for	for	ADP
iajs-1809	50	22	more	more	ADJ
iajs-1809	50	23	information	information	NOUN
iajs-1809	50	24	about	about	ADP
iajs-1809	50	25	the	the	DET
iajs-1809	50	26	conference	conference	NOUN
iajs-1809	50	27	please	please	INTJ
iajs-1809	50	28	visit	visit	VERB
iajs-1809	50	29	the	the	DET
iajs-1809	50	30	websites	website	NOUN
iajs-1809	50	31	:	:	PUNCT
iajs-1809	50	32	http://www.ihsciconf.org/conf/	http://www.ihsciconf.org/conf/	VERB
iajs-1809	50	33	   	   	SPACE
iajs-1809	50	34	www.ihsciconf.org	www.ihsciconf.org	X
iajs-1809	50	35	   	   	SPACE
iajs-1809	50	36	mathematics|367	mathematics|367	PROPN
iajs-1809	50	37	    	    	SPACE
iajs-1809	50	38	2.2	2.2	NUM
iajs-1809	50	39	moment	moment	NOUN
iajs-1809	50	40	method	method	NOUN
iajs-1809	50	41	(	(	PUNCT
iajs-1809	50	42	mom	mom	NOUN
iajs-1809	50	43	)	)	PUNCT
iajs-1809	50	44	r(s	r(s	PROPN
iajs-1809	50	45	,	,	PUNCT
iajs-1809	50	46	k	k	NOUN
iajs-1809	50	47	):	):	PUNCT
iajs-1809	50	48	let	let	VERB
iajs-1809	50	49	x1	x1	NUM
iajs-1809	50	50	,	,	PUNCT
iajs-1809	50	51	x2	x2	PROPN
iajs-1809	50	52	,	,	PUNCT
iajs-1809	50	53	…	…	PUNCT
iajs-1809	50	54	,	,	PUNCT
iajs-1809	50	55	xn	xn	PUNCT
iajs-1809	50	56	be	be	AUX
iajs-1809	50	57	a	a	DET
iajs-1809	50	58	random	random	ADJ
iajs-1809	50	59	sample	sample	NOUN
iajs-1809	50	60	of	of	ADP
iajs-1809	50	61	size	size	NOUN
iajs-1809	50	62	n	n	X
iajs-1809	50	63	for	for	ADP
iajs-1809	50	64	strength	strength	NOUN
iajs-1809	50	65	x	x	PRON
iajs-1809	50	66	follows	follow	VERB
iajs-1809	50	67	ew	ew	INTJ
iajs-1809	50	68	(	(	PUNCT
iajs-1809	50	69	𝛼	𝛼	INTJ
iajs-1809	50	70	,	,	PUNCT
iajs-1809	50	71	𝜃	𝜃	NOUN
iajs-1809	50	72	,	,	PUNCT
iajs-1809	50	73	and	and	CCONJ
iajs-1809	50	74	y1	y1	INTJ
iajs-1809	50	75	,	,	PUNCT
iajs-1809	50	76	y2	y2	PROPN
iajs-1809	50	77	,	,	PUNCT
iajs-1809	50	78	…	…	PUNCT
iajs-1809	50	79	,	,	PUNCT
iajs-1809	50	80	ym	ym	PRON
iajs-1809	50	81	be	be	VERB
iajs-1809	50	82	a	a	DET
iajs-1809	50	83	random	random	ADJ
iajs-1809	50	84	sample	sample	NOUN
iajs-1809	50	85	of	of	ADP
iajs-1809	50	86	size	size	NOUN
iajs-1809	50	87	m	m	PROPN
iajs-1809	50	88	for	for	SCONJ
iajs-1809	50	89	stress	stress	NOUN
iajs-1809	50	90	y	y	PROPN
iajs-1809	50	91	follows	follow	VERB
iajs-1809	50	92	ew	ew	INTJ
iajs-1809	50	93	(	(	PUNCT
iajs-1809	50	94	𝛼	𝛼	INTJ
iajs-1809	50	95	,	,	PUNCT
iajs-1809	50	96	𝜃	𝜃	PROPN
iajs-1809	50	97	.	.	PUNCT
iajs-1809	51	1	let	let	VERB
iajs-1809	51	2	𝑋	𝑋	NOUN
iajs-1809	51	3	and	and	CCONJ
iajs-1809	51	4	𝑌	𝑌	PROPN
iajs-1809	51	5	are	be	AUX
iajs-1809	51	6	the	the	DET
iajs-1809	51	7	means	mean	NOUN
iajs-1809	51	8	of	of	ADP
iajs-1809	51	9	samples	sample	NOUN
iajs-1809	51	10	of	of	ADP
iajs-1809	51	11	strength	strength	NOUN
iajs-1809	51	12	and	and	CCONJ
iajs-1809	51	13	stress	stress	NOUN
iajs-1809	51	14	respectively	respectively	ADV
iajs-1809	51	15	,	,	PUNCT
iajs-1809	51	16	then	then	ADV
iajs-1809	51	17	the	the	DET
iajs-1809	51	18	population	population	NOUN
iajs-1809	51	19	moments	moment	NOUN
iajs-1809	51	20	of	of	ADP
iajs-1809	51	21	x	x	PRON
iajs-1809	51	22	,	,	PUNCT
iajs-1809	51	23	y	y	PROPN
iajs-1809	51	24	are	be	AUX
iajs-1809	51	25	given	give	VERB
iajs-1809	51	26	by	by	ADP
iajs-1809	51	27	;	;	PUNCT
iajs-1809	51	28	see[20	see[20	X
iajs-1809	51	29	]	]	PUNCT
iajs-1809	51	30	.	.	PUNCT
iajs-1809	52	1	𝐸	𝐸	PROPN
iajs-1809	52	2	𝑋	𝑋	NOUN
iajs-1809	52	3	=	=	SYM
iajs-1809	52	4	𝛼	𝛼	NOUN
iajs-1809	52	5	∑	∑	PROPN
iajs-1809	52	6	1	1	NUM
iajs-1809	52	7	𝑗	𝑗	PROPN
iajs-1809	52	8	1	1	NUM
iajs-1809	52	9	𝛤	𝛤	PROPN
iajs-1809	52	10	1	1	NUM
iajs-1809	52	11	,	,	PUNCT
iajs-1809	52	12	𝑖𝑓𝛼	𝑖𝑓𝛼	NOUN
iajs-1809	52	13	∈	∈	PROPN
iajs-1809	52	14	𝑁	𝑁	PROPN
iajs-1809	52	15	𝛼	𝛼	PRON
iajs-1809	52	16	∑	∑	PUNCT
iajs-1809	52	17	!	!	PUNCT
iajs-1809	53	1	1	1	NUM
iajs-1809	53	2	𝑗	𝑗	SYM
iajs-1809	53	3	1	1	NUM
iajs-1809	53	4	𝛤	𝛤	PROPN
iajs-1809	53	5	1	1	NUM
iajs-1809	53	6	,	,	PUNCT
iajs-1809	53	7	𝑖𝑓	𝑖𝑓	ADP
iajs-1809	53	8	𝛼	𝛼	NOUN
iajs-1809	53	9	∉	∉	ADJ
iajs-1809	53	10	𝑁	𝑁	PROPN
iajs-1809	53	11	for	for	ADP
iajs-1809	53	12	r=1,2,3	r=1,2,3	NUM
iajs-1809	53	13	…	…	PUNCT
iajs-1809	53	14	.	.	PUNCT
iajs-1809	54	1	where	where	SCONJ
iajs-1809	54	2	𝛼𝑃	𝛼𝑃	NOUN
iajs-1809	54	3	=	=	PROPN
iajs-1809	54	4	α	α	PROPN
iajs-1809	54	5	(	(	PUNCT
iajs-1809	54	6	α-1	α-1	NOUN
iajs-1809	54	7	)	)	PUNCT
iajs-1809	54	8	(	(	PUNCT
iajs-1809	54	9	α-2	α-2	PROPN
iajs-1809	54	10	)	)	PUNCT
iajs-1809	54	11	…	…	PUNCT
iajs-1809	54	12	..	..	PUNCT
iajs-1809	54	13	(	(	PUNCT
iajs-1809	54	14	α	α	NOUN
iajs-1809	54	15	-	-	PUNCT
iajs-1809	54	16	j+1	j+1	ADJ
iajs-1809	54	17	)	)	PUNCT
iajs-1809	54	18	and	and	CCONJ
iajs-1809	54	19	n	n	PRON
iajs-1809	54	20	is	be	AUX
iajs-1809	54	21	the	the	DET
iajs-1809	54	22	set	set	NOUN
iajs-1809	54	23	of	of	ADP
iajs-1809	54	24	natural	natural	ADJ
iajs-1809	54	25	number	number	NOUN
iajs-1809	54	26	therefore	therefore	ADV
iajs-1809	54	27	,	,	PUNCT
iajs-1809	54	28	the	the	DET
iajs-1809	54	29	population	population	NOUN
iajs-1809	54	30	means	mean	VERB
iajs-1809	54	31	of	of	ADP
iajs-1809	54	32	x	x	SYM
iajs-1809	54	33	and	and	CCONJ
iajs-1809	54	34	y	y	PROPN
iajs-1809	54	35	are	be	AUX
iajs-1809	54	36	respectively	respectively	ADV
iajs-1809	54	37	as	as	ADP
iajs-1809	54	38	below	below	ADV
iajs-1809	54	39	:	:	PUNCT
iajs-1809	54	40	e(x)=	e(x)=	PROPN
iajs-1809	54	41	𝛼	𝛼	SYM
iajs-1809	54	42	∑	∑	PROPN
iajs-1809	54	43	1	1	NUM
iajs-1809	54	44	𝑗	𝑗	PROPN
iajs-1809	54	45	1	1	NUM
iajs-1809	54	46	𝛤	𝛤	PROPN
iajs-1809	54	47	1	1	NUM
iajs-1809	54	48	,	,	PUNCT
iajs-1809	54	49	𝑖𝑓𝛼	𝑖𝑓𝛼	NOUN
iajs-1809	54	50	∈	∈	PROPN
iajs-1809	54	51	𝑁	𝑁	PROPN
iajs-1809	54	52	𝛼	𝛼	PRON
iajs-1809	54	53	∑	∑	PUNCT
iajs-1809	54	54	!	!	PUNCT
iajs-1809	55	1	1	1	NUM
iajs-1809	55	2	𝑗	𝑗	SYM
iajs-1809	55	3	1	1	NUM
iajs-1809	55	4	𝛤	𝛤	PROPN
iajs-1809	55	5	1	1	NUM
iajs-1809	55	6	,	,	PUNCT
iajs-1809	55	7	𝑖𝑓	𝑖𝑓	ADP
iajs-1809	55	8	𝛼	𝛼	NOUN
iajs-1809	55	9	∉	∉	ADJ
iajs-1809	55	10	𝑁	𝑁	PROPN
iajs-1809	55	11	…	…	PUNCT
iajs-1809	55	12	(	(	PUNCT
iajs-1809	55	13	9	9	NUM
iajs-1809	55	14	)	)	PUNCT
iajs-1809	55	15	and	and	CCONJ
iajs-1809	55	16	,	,	PUNCT
iajs-1809	55	17	e	e	PROPN
iajs-1809	55	18	y	y	PROPN
iajs-1809	55	19	𝛼	𝛼	PROPN
iajs-1809	55	20	∑	∑	PROPN
iajs-1809	55	21	1	1	NUM
iajs-1809	55	22	𝑗	𝑗	PROPN
iajs-1809	55	23	1	1	NUM
iajs-1809	55	24	𝛤	𝛤	PROPN
iajs-1809	55	25	1	1	NUM
iajs-1809	55	26	,	,	PUNCT
iajs-1809	55	27	𝑖𝑓𝛼	𝑖𝑓𝛼	NOUN
iajs-1809	55	28	∈	∈	PROPN
iajs-1809	55	29	𝑁	𝑁	PROPN
iajs-1809	55	30	𝛼	𝛼	PRON
iajs-1809	55	31	∑	∑	PUNCT
iajs-1809	55	32	!	!	PUNCT
iajs-1809	56	1	1	1	NUM
iajs-1809	56	2	𝑗	𝑗	SYM
iajs-1809	56	3	1	1	NUM
iajs-1809	56	4	𝛤	𝛤	PROPN
iajs-1809	56	5	1	1	NUM
iajs-1809	56	6	,	,	PUNCT
iajs-1809	56	7	𝑖𝑓	𝑖𝑓	ADP
iajs-1809	56	8	𝛼	𝛼	NOUN
iajs-1809	56	9	∉	∉	ADJ
iajs-1809	56	10	𝑁	𝑁	PROPN
iajs-1809	56	11	(	(	PUNCT
iajs-1809	56	12	10	10	NUM
iajs-1809	56	13	)	)	PUNCT
iajs-1809	56	14	equating	equate	VERB
iajs-1809	56	15	the	the	DET
iajs-1809	56	16	samples	sample	NOUN
iajs-1809	56	17	mean	mean	VERB
iajs-1809	56	18	with	with	ADP
iajs-1809	56	19	the	the	DET
iajs-1809	56	20	corresponding	correspond	VERB
iajs-1809	56	21	populations	population	NOUN
iajs-1809	56	22	mean	mean	VERB
iajs-1809	56	23	for	for	SCONJ
iajs-1809	56	24	both	both	DET
iajs-1809	56	25	x	x	SYM
iajs-1809	56	26	and	and	CCONJ
iajs-1809	56	27	y	y	PROPN
iajs-1809	56	28	as	as	SCONJ
iajs-1809	56	29	follows	follow	VERB
iajs-1809	56	30	:	:	PUNCT
iajs-1809	56	31	𝑋	𝑋	NOUN
iajs-1809	56	32	∑	∑	PUNCT
iajs-1809	56	33	𝛼	𝛼	X
iajs-1809	56	34	∑	∑	PROPN
iajs-1809	56	35	1	1	NUM
iajs-1809	56	36	𝑗	𝑗	PROPN
iajs-1809	56	37	1	1	NUM
iajs-1809	56	38	𝛤	𝛤	PROPN
iajs-1809	56	39	1	1	NUM
iajs-1809	56	40	𝑌	𝑌	PROPN
iajs-1809	56	41	∑	∑	PUNCT
iajs-1809	56	42	=	=	PROPN
iajs-1809	56	43	𝛼	𝛼	X
iajs-1809	56	44	∑	∑	PROPN
iajs-1809	56	45	1	1	NUM
iajs-1809	56	46	𝑗	𝑗	PROPN
iajs-1809	56	47	1	1	NUM
iajs-1809	56	48	𝛤	𝛤	PROPN
iajs-1809	56	49	1	1	NUM
iajs-1809	56	50	by	by	ADP
iajs-1809	56	51	simplification	simplification	NOUN
iajs-1809	56	52	,	,	PUNCT
iajs-1809	56	53	we	we	PRON
iajs-1809	56	54	obtain	obtain	VERB
iajs-1809	56	55	the	the	DET
iajs-1809	56	56	estimation	estimation	NOUN
iajs-1809	56	57	of	of	ADP
iajs-1809	56	58	unknown	unknown	ADJ
iajs-1809	56	59	shape	shape	NOUN
iajs-1809	56	60	parameters	parameter	NOUN
iajs-1809	56	61	𝛼	𝛼	X
iajs-1809	56	62	(	(	PUNCT
iajs-1809	56	63	i=1,2	i=1,2	NOUN
iajs-1809	56	64	)	)	PUNCT
iajs-1809	56	65	using	use	VERB
iajs-1809	56	66	moment	moment	NOUN
iajs-1809	56	67	method	method	NOUN
iajs-1809	56	68	as	as	SCONJ
iajs-1809	56	69	follows	follow	VERB
iajs-1809	56	70	:	:	PUNCT
iajs-1809	56	71	𝛼	𝛼	X
iajs-1809	56	72	∑	∑	PUNCT
iajs-1809	56	73	(	(	PUNCT
iajs-1809	56	74	11	11	NUM
iajs-1809	56	75	)	)	PUNCT
iajs-1809	56	76	𝛼	𝛼	X
iajs-1809	56	77	∑	∑	PROPN
iajs-1809	56	78	(	(	PUNCT
iajs-1809	56	79	12	12	NUM
iajs-1809	56	80	)	)	PUNCT
iajs-1809	56	81	ihsciconf	ihsciconf	NOUN
iajs-1809	56	82	2017	2017	NUM
iajs-1809	56	83	special	special	ADJ
iajs-1809	56	84	issue	issue	NOUN
iajs-1809	56	85	ibn	ibn	PROPN
iajs-1809	56	86	al	al	PROPN
iajs-1809	56	87	-	-	PUNCT
iajs-1809	56	88	haitham	haitham	PROPN
iajs-1809	56	89	journal	journal	PROPN
iajs-1809	56	90	for	for	ADP
iajs-1809	56	91	pure	pure	ADJ
iajs-1809	56	92	and	and	CCONJ
iajs-1809	56	93	applied	apply	VERB
iajs-1809	56	94	science	science	NOUN
iajs-1809	56	95	https://doi.org/	https://doi.org/	NOUN
iajs-1809	56	96	10.30526/2017.ihsciconf.1809	10.30526/2017.ihsciconf.1809	NUM
iajs-1809	56	97	for	for	ADP
iajs-1809	56	98	more	more	ADJ
iajs-1809	56	99	information	information	NOUN
iajs-1809	56	100	about	about	ADP
iajs-1809	56	101	the	the	DET
iajs-1809	56	102	conference	conference	NOUN
iajs-1809	56	103	please	please	INTJ
iajs-1809	56	104	visit	visit	VERB
iajs-1809	56	105	the	the	DET
iajs-1809	56	106	websites	website	NOUN
iajs-1809	56	107	:	:	PUNCT
iajs-1809	56	108	http://www.ihsciconf.org/conf/	http://www.ihsciconf.org/conf/	VERB
iajs-1809	56	109	   	   	SPACE
iajs-1809	56	110	www.ihsciconf.org	www.ihsciconf.org	ADJ
iajs-1809	56	111	   	   	SPACE
iajs-1809	56	112	mathematics|368	mathematics|368	NOUN
iajs-1809	56	113	    	    	SPACE
iajs-1809	56	114	substitution	substitution	NOUN
iajs-1809	56	115	𝛼	𝛼	NOUN
iajs-1809	56	116	(	(	PUNCT
iajs-1809	56	117	i=1,2	i=1,2	ADJ
iajs-1809	56	118	)	)	PUNCT
iajs-1809	56	119	in	in	ADP
iajs-1809	56	120	equation	equation	NOUN
iajs-1809	56	121	(	(	PUNCT
iajs-1809	56	122	5	5	NUM
iajs-1809	56	123	)	)	PUNCT
iajs-1809	56	124	,	,	PUNCT
iajs-1809	56	125	we	we	PRON
iajs-1809	56	126	conclude	conclude	VERB
iajs-1809	56	127	the	the	DET
iajs-1809	56	128	reliability	reliability	NOUN
iajs-1809	56	129	estimation	estimation	NOUN
iajs-1809	56	130	for	for	ADP
iajs-1809	56	131	r(s	r(s	PROPN
iajs-1809	56	132	,	,	PUNCT
iajs-1809	56	133	k	k	NOUN
iajs-1809	56	134	)	)	PUNCT
iajs-1809	56	135	model	model	NOUN
iajs-1809	56	136	via	via	ADP
iajs-1809	56	137	moment	moment	NOUN
iajs-1809	56	138	method	method	NOUN
iajs-1809	56	139	as	as	ADP
iajs-1809	56	140	below	below	ADV
iajs-1809	56	141	:	:	PUNCT
iajs-1809	56	142	𝑅	𝑅	NOUN
iajs-1809	56	143	,	,	PUNCT
iajs-1809	56	144	∑	∑	PROPN
iajs-1809	56	145	!	!	PUNCT
iajs-1809	56	146	!	!	PUNCT
iajs-1809	57	1	∏	∏	PROPN
iajs-1809	58	1	𝑘	𝑘	PRON
iajs-1809	58	2	𝑗	𝑗	PROPN
iajs-1809	58	3	(	(	PUNCT
iajs-1809	58	4	13	13	NUM
iajs-1809	58	5	)	)	PUNCT
iajs-1809	58	6	2.3	2.3	NUM
iajs-1809	58	7	shrinkage	shrinkage	NOUN
iajs-1809	58	8	estimation	estimation	NOUN
iajs-1809	58	9	method	method	NOUN
iajs-1809	58	10	[	[	X
iajs-1809	58	11	1	1	NUM
iajs-1809	58	12	,	,	PUNCT
iajs-1809	58	13	4	4	NUM
iajs-1809	58	14	,	,	PUNCT
iajs-1809	58	15	5	5	NUM
iajs-1809	58	16	,	,	PUNCT
iajs-1809	58	17	25	25	NUM
iajs-1809	58	18	&	&	CCONJ
iajs-1809	58	19	28	28	NUM
iajs-1809	58	20	]	]	PUNCT
iajs-1809	58	21	.	.	PUNCT
iajs-1809	59	1	thompson	thompson	NOUN
iajs-1809	59	2	in	in	ADP
iajs-1809	59	3	1968	1968	NUM
iajs-1809	59	4	has	have	AUX
iajs-1809	59	5	suggested	suggest	VERB
iajs-1809	59	6	the	the	DET
iajs-1809	59	7	problem	problem	NOUN
iajs-1809	59	8	of	of	ADP
iajs-1809	59	9	shrink	shrink	VERB
iajs-1809	59	10	a	a	DET
iajs-1809	59	11	usual	usual	ADJ
iajs-1809	59	12	estimator	estimator	NOUN
iajs-1809	59	13	𝛼	𝛼	PROPN
iajs-1809	59	14	of	of	ADP
iajs-1809	59	15	the	the	DET
iajs-1809	59	16	parameter	parameter	NOUN
iajs-1809	59	17	𝛼	𝛼	PUNCT
iajs-1809	59	18	to	to	ADP
iajs-1809	59	19	prior	prior	ADJ
iajs-1809	59	20	information	information	NOUN
iajs-1809	59	21	𝛼	𝛼	NOUN
iajs-1809	59	22	using	use	VERB
iajs-1809	59	23	shrinkage	shrinkage	NOUN
iajs-1809	59	24	weight	weight	NOUN
iajs-1809	59	25	factor	factor	NOUN
iajs-1809	59	26	∅	∅	NOUN
iajs-1809	59	27	𝛼	𝛼	NOUN
iajs-1809	59	28	)	)	PUNCT
iajs-1809	59	29	,	,	PUNCT
iajs-1809	59	30	such	such	ADJ
iajs-1809	59	31	that	that	SCONJ
iajs-1809	59	32	0	0	NUM
iajs-1809	59	33	∅	∅	NOUN
iajs-1809	59	34	𝛼	𝛼	NOUN
iajs-1809	59	35	1	1	NUM
iajs-1809	59	36	.	.	PUNCT
iajs-1809	60	1	thompson	thompson	PROPN
iajs-1809	60	2	says	say	VERB
iajs-1809	60	3	that	that	SCONJ
iajs-1809	60	4	"	"	PUNCT
iajs-1809	60	5	we	we	PRON
iajs-1809	60	6	are	be	AUX
iajs-1809	60	7	estimating	estimate	VERB
iajs-1809	60	8	𝛼	𝛼	PRON
iajs-1809	61	1	and	and	CCONJ
iajs-1809	61	2	we	we	PRON
iajs-1809	61	3	believe	believe	VERB
iajs-1809	61	4	𝛼	𝛼	NOUN
iajs-1809	61	5	is	be	AUX
iajs-1809	61	6	closed	close	VERB
iajs-1809	61	7	to	to	ADP
iajs-1809	61	8	the	the	DET
iajs-1809	61	9	true	true	ADJ
iajs-1809	61	10	value	value	NOUN
iajs-1809	61	11	of	of	ADP
iajs-1809	61	12	𝛼	𝛼	PRON
iajs-1809	61	13	or	or	CCONJ
iajs-1809	61	14	we	we	PRON
iajs-1809	61	15	fear	fear	VERB
iajs-1809	61	16	that	that	SCONJ
iajs-1809	61	17	𝛼	𝛼	PRON
iajs-1809	61	18	may	may	AUX
iajs-1809	61	19	be	be	AUX
iajs-1809	61	20	near	near	ADP
iajs-1809	61	21	the	the	DET
iajs-1809	61	22	true	true	ADJ
iajs-1809	61	23	value	value	NOUN
iajs-1809	61	24	of	of	ADP
iajs-1809	61	25	𝛼	𝛼	NOUN
iajs-1809	61	26	,	,	PUNCT
iajs-1809	61	27	that	that	PRON
iajs-1809	61	28	is	be	AUX
iajs-1809	61	29	mean	mean	VERB
iajs-1809	61	30	something	something	PRON
iajs-1809	61	31	bad	bad	ADJ
iajs-1809	61	32	happens	happen	VERB
iajs-1809	61	33	if	if	SCONJ
iajs-1809	61	34	𝛼	𝛼	VERB
iajs-1809	61	35	𝛼	𝛼	VERB
iajs-1809	62	1	and	and	CCONJ
iajs-1809	62	2	we	we	PRON
iajs-1809	62	3	do	do	AUX
iajs-1809	62	4	not	not	PART
iajs-1809	62	5	use	use	VERB
iajs-1809	62	6	𝛼	𝛼	INTJ
iajs-1809	62	7	"	"	PUNCT
iajs-1809	62	8	.	.	PUNCT
iajs-1809	63	1	thus	thus	ADV
iajs-1809	63	2	,	,	PUNCT
iajs-1809	63	3	the	the	DET
iajs-1809	63	4	form	form	NOUN
iajs-1809	63	5	of	of	ADP
iajs-1809	63	6	shrinkage	shrinkage	NOUN
iajs-1809	63	7	estimator	estimator	NOUN
iajs-1809	63	8	of	of	ADP
iajs-1809	63	9	α	α	PROPN
iajs-1809	63	10	say	say	VERB
iajs-1809	63	11	𝛼	𝛼	PRON
iajs-1809	63	12	will	will	AUX
iajs-1809	63	13	be	be	AUX
iajs-1809	63	14	:	:	PUNCT
iajs-1809	63	15	𝛼	𝛼	X
iajs-1809	63	16	∅	∅	NOUN
iajs-1809	63	17	𝛼	𝛼	NOUN
iajs-1809	63	18	𝛼	𝛼	SYM
iajs-1809	63	19	1	1	NUM
iajs-1809	63	20	∅	∅	NOUN
iajs-1809	63	21	𝛼	𝛼	ADP
iajs-1809	63	22	𝛼	𝛼	NOUN
iajs-1809	63	23	(	(	PUNCT
iajs-1809	63	24	14	14	NUM
iajs-1809	63	25	)	)	PUNCT
iajs-1809	63	26	in	in	ADP
iajs-1809	63	27	this	this	DET
iajs-1809	63	28	work	work	NOUN
iajs-1809	63	29	,	,	PUNCT
iajs-1809	63	30	we	we	PRON
iajs-1809	63	31	apply	apply	VERB
iajs-1809	63	32	the	the	DET
iajs-1809	63	33	unbiased	unbiased	ADJ
iajs-1809	63	34	estimator	estimator	NOUN
iajs-1809	63	35	𝛼	𝛼	PROPN
iajs-1809	63	36	as	as	ADP
iajs-1809	63	37	a	a	DET
iajs-1809	63	38	usual	usual	ADJ
iajs-1809	63	39	estimator	estimator	NOUN
iajs-1809	63	40	and	and	CCONJ
iajs-1809	63	41	the	the	DET
iajs-1809	63	42	moment	moment	NOUN
iajs-1809	63	43	estimator	estimator	NOUN
iajs-1809	63	44	as	as	ADP
iajs-1809	63	45	a	a	DET
iajs-1809	63	46	prior	prior	ADJ
iajs-1809	63	47	estimation	estimation	NOUN
iajs-1809	63	48	of	of	ADP
iajs-1809	63	49	α	α	PROPN
iajs-1809	63	50	in	in	ADP
iajs-1809	63	51	equation	equation	NOUN
iajs-1809	63	52	(	(	PUNCT
iajs-1809	63	53	14	14	NUM
iajs-1809	63	54	)	)	PUNCT
iajs-1809	63	55	above	above	ADV
iajs-1809	63	56	.	.	PUNCT
iajs-1809	64	1	where	where	SCONJ
iajs-1809	64	2	∅	∅	NOUN
iajs-1809	64	3	𝛼	𝛼	PRON
iajs-1809	64	4	denote	denote	VERB
iajs-1809	64	5	the	the	DET
iajs-1809	64	6	shrinkage	shrinkage	NOUN
iajs-1809	64	7	weight	weight	NOUN
iajs-1809	64	8	factor	factor	NOUN
iajs-1809	64	9	as	as	SCONJ
iajs-1809	64	10	we	we	PRON
iajs-1809	64	11	mentioned	mention	VERB
iajs-1809	64	12	above	above	ADP
iajs-1809	64	13	such	such	ADJ
iajs-1809	64	14	that	that	SCONJ
iajs-1809	64	15	0	0	NUM
iajs-1809	64	16	∅	∅	NOUN
iajs-1809	64	17	𝛼	𝛼	NOUN
iajs-1809	64	18	1	1	NUM
iajs-1809	64	19	,	,	PUNCT
iajs-1809	64	20	which	which	PRON
iajs-1809	64	21	may	may	AUX
iajs-1809	64	22	be	be	AUX
iajs-1809	64	23	a	a	DET
iajs-1809	64	24	function	function	NOUN
iajs-1809	64	25	of	of	ADP
iajs-1809	64	26	𝛼	𝛼	PRON
iajs-1809	64	27	;	;	PUNCT
iajs-1809	64	28	can	can	AUX
iajs-1809	64	29	be	be	AUX
iajs-1809	64	30	found	find	VERB
iajs-1809	64	31	by	by	ADP
iajs-1809	64	32	minimizing	minimize	VERB
iajs-1809	64	33	the	the	DET
iajs-1809	64	34	mean	mean	ADJ
iajs-1809	64	35	square	square	ADJ
iajs-1809	64	36	error	error	NOUN
iajs-1809	64	37	of	of	ADP
iajs-1809	64	38	𝛼	𝛼	PRON
iajs-1809	64	39	.thus	.thus	ADV
iajs-1809	64	40	,	,	PUNCT
iajs-1809	64	41	the	the	DET
iajs-1809	64	42	shrinkage	shrinkage	NOUN
iajs-1809	64	43	estimator	estimator	NOUN
iajs-1809	64	44	for	for	ADP
iajs-1809	64	45	the	the	DET
iajs-1809	64	46	shape	shape	NOUN
iajs-1809	64	47	parameter	parameter	NOUN
iajs-1809	64	48	𝛼	𝛼	PROPN
iajs-1809	64	49	of	of	ADP
iajs-1809	64	50	ewd	ewd	PROPN
iajs-1809	64	51	will	will	AUX
iajs-1809	64	52	be	be	AUX
iajs-1809	64	53	as	as	SCONJ
iajs-1809	64	54	follows	follow	VERB
iajs-1809	64	55	:	:	PUNCT
iajs-1809	64	56	𝛼	𝛼	NOUN
iajs-1809	64	57	∅	∅	NOUN
iajs-1809	64	58	𝛼	𝛼	NOUN
iajs-1809	64	59	𝛼	𝛼	SYM
iajs-1809	64	60	1	1	NUM
iajs-1809	64	61	∅	∅	NOUN
iajs-1809	64	62	𝛼	𝛼	ADP
iajs-1809	64	63	𝛼	𝛼	NOUN
iajs-1809	64	64	(	(	PUNCT
iajs-1809	64	65	15	15	NUM
iajs-1809	64	66	)	)	PUNCT
iajs-1809	64	67	note	note	NOUN
iajs-1809	64	68	that	that	SCONJ
iajs-1809	64	69	,	,	PUNCT
iajs-1809	64	70	𝛼	𝛼	VERB
iajs-1809	64	71	𝛼	𝛼	X
iajs-1809	64	72	∑	∑	PROPN
iajs-1809	64	73	,	,	PUNCT
iajs-1809	64	74	hence	hence	ADV
iajs-1809	64	75	,	,	PUNCT
iajs-1809	64	76	e(𝛼	e(𝛼	PROPN
iajs-1809	64	77	)	)	PUNCT
iajs-1809	65	1	=	=	SYM
iajs-1809	65	2	𝛼	𝛼	PROPN
iajs-1809	65	3	and	and	CCONJ
iajs-1809	65	4	var(𝛼	var(𝛼	PROPN
iajs-1809	65	5	)	)	PUNCT
iajs-1809	65	6	=	=	PUNCT
iajs-1809	66	1	and	and	CCONJ
iajs-1809	66	2	,	,	PUNCT
iajs-1809	66	3	𝛼	𝛼	VERB
iajs-1809	66	4	𝑚	𝑚	PROPN
iajs-1809	66	5	1	1	NUM
iajs-1809	66	6	𝑚	𝑚	NOUN
iajs-1809	66	7	𝛼	𝛼	X
iajs-1809	66	8	𝑚	𝑚	PROPN
iajs-1809	66	9	1	1	NUM
iajs-1809	66	10	∑	∑	PROPN
iajs-1809	66	11	𝑙𝑛	𝑙𝑛	NOUN
iajs-1809	66	12	1	1	NUM
iajs-1809	66	13	𝑒	𝑒	PROPN
iajs-1809	66	14	implies	imply	VERB
iajs-1809	66	15	,	,	PUNCT
iajs-1809	66	16	e(𝛼	e(𝛼	PROPN
iajs-1809	66	17	)	)	PUNCT
iajs-1809	67	1	=	=	SYM
iajs-1809	67	2	𝛼	𝛼	PROPN
iajs-1809	67	3	and	and	CCONJ
iajs-1809	67	4	var(𝛼	var(𝛼	PROPN
iajs-1809	67	5	)	)	PUNCT
iajs-1809	67	6	=	=	SYM
iajs-1809	67	7	.	.	PUNCT
iajs-1809	68	1	2.4	2.4	NUM
iajs-1809	68	2	modified	modify	VERB
iajs-1809	68	3	thompson	thompson	NOUN
iajs-1809	68	4	type	type	NOUN
iajs-1809	68	5	shrinkage	shrinkage	NOUN
iajs-1809	68	6	weight	weight	NOUN
iajs-1809	68	7	function	function	NOUN
iajs-1809	68	8	(	(	PUNCT
iajs-1809	68	9	th	th	NOUN
iajs-1809	68	10	)	)	PUNCT
iajs-1809	68	11	in	in	ADP
iajs-1809	68	12	this	this	DET
iajs-1809	68	13	subsection	subsection	NOUN
iajs-1809	68	14	,	,	PUNCT
iajs-1809	68	15	we	we	PRON
iajs-1809	68	16	introduce	introduce	VERB
iajs-1809	68	17	and	and	CCONJ
iajs-1809	68	18	modify	modify	VERB
iajs-1809	68	19	the	the	DET
iajs-1809	68	20	shrinkage	shrinkage	NOUN
iajs-1809	68	21	weight	weight	NOUN
iajs-1809	68	22	factor	factor	NOUN
iajs-1809	68	23	consider	consider	VERB
iajs-1809	68	24	by	by	ADP
iajs-1809	68	25	thompson	thompson	NOUN
iajs-1809	68	26	in	in	ADP
iajs-1809	68	27	1968	1968	NUM
iajs-1809	68	28	as	as	ADP
iajs-1809	68	29	below	below	ADV
iajs-1809	68	30	.	.	PUNCT
iajs-1809	69	1	ihsciconf	ihsciconf	PROPN
iajs-1809	69	2	2017	2017	NUM
iajs-1809	69	3	special	special	ADJ
iajs-1809	69	4	issue	issue	NOUN
iajs-1809	69	5	ibn	ibn	PROPN
iajs-1809	69	6	al	al	PROPN
iajs-1809	69	7	-	-	PUNCT
iajs-1809	69	8	haitham	haitham	PROPN
iajs-1809	69	9	journal	journal	PROPN
iajs-1809	69	10	for	for	ADP
iajs-1809	69	11	pure	pure	ADJ
iajs-1809	69	12	and	and	CCONJ
iajs-1809	69	13	applied	apply	VERB
iajs-1809	69	14	science	science	NOUN
iajs-1809	69	15	https://doi.org/	https://doi.org/	NOUN
iajs-1809	69	16	10.30526/2017.ihsciconf.1809	10.30526/2017.ihsciconf.1809	NUM
iajs-1809	69	17	for	for	ADP
iajs-1809	69	18	more	more	ADJ
iajs-1809	69	19	information	information	NOUN
iajs-1809	69	20	about	about	ADP
iajs-1809	69	21	the	the	DET
iajs-1809	69	22	conference	conference	NOUN
iajs-1809	69	23	please	please	INTJ
iajs-1809	69	24	visit	visit	VERB
iajs-1809	69	25	the	the	DET
iajs-1809	69	26	websites	website	NOUN
iajs-1809	69	27	:	:	PUNCT
iajs-1809	69	28	http://www.ihsciconf.org/conf/	http://www.ihsciconf.org/conf/	VERB
iajs-1809	69	29	   	   	SPACE
iajs-1809	69	30	www.ihsciconf.org	www.ihsciconf.org	ADJ
iajs-1809	69	31	   	   	SPACE
iajs-1809	69	32	mathematics|369	mathematics|369	NOUN
iajs-1809	69	33	    	    	SPACE
iajs-1809	69	34	𝛾	𝛾	NOUN
iajs-1809	69	35	𝛼	𝛼	PRON
iajs-1809	69	36	0.01	0.01	NUM
iajs-1809	69	37	for	for	ADP
iajs-1809	69	38	i=1,2	i=1,2	ADJ
iajs-1809	69	39	(	(	PUNCT
iajs-1809	69	40	16	16	NUM
iajs-1809	69	41	)	)	PUNCT
iajs-1809	69	42	therefore	therefore	ADV
iajs-1809	69	43	,	,	PUNCT
iajs-1809	69	44	the	the	DET
iajs-1809	69	45	shrinkage	shrinkage	NOUN
iajs-1809	69	46	estimator	estimator	NOUN
iajs-1809	69	47	of	of	ADP
iajs-1809	69	48	𝛼	𝛼	PROPN
iajs-1809	69	49	(	(	PUNCT
iajs-1809	69	50	i=1,2	i=1,2	ADJ
iajs-1809	69	51	)	)	PUNCT
iajs-1809	69	52	by	by	ADP
iajs-1809	69	53	using	use	VERB
iajs-1809	69	54	above	above	ADV
iajs-1809	69	55	modified	modify	VERB
iajs-1809	69	56	shrinkage	shrinkage	NOUN
iajs-1809	69	57	weight	weight	NOUN
iajs-1809	69	58	factor	factor	NOUN
iajs-1809	69	59	will	will	AUX
iajs-1809	69	60	be	be	AUX
iajs-1809	69	61	:	:	PUNCT
iajs-1809	69	62	𝛼	𝛼	PRON
iajs-1809	69	63	𝛾	𝛾	NOUN
iajs-1809	69	64	𝛼	𝛼	X
iajs-1809	69	65	𝛼	𝛼	PROPN
iajs-1809	69	66	1	1	NUM
iajs-1809	69	67	𝛾	𝛾	ADP
iajs-1809	69	68	𝛼	𝛼	DET
iajs-1809	69	69	𝛼	𝛼	NOUN
iajs-1809	69	70	for	for	ADP
iajs-1809	69	71	i=1,2	i=1,2	ADJ
iajs-1809	69	72	(	(	PUNCT
iajs-1809	69	73	17	17	NUM
iajs-1809	69	74	)	)	PUNCT
iajs-1809	69	75	substitute	substitute	NOUN
iajs-1809	69	76	equation	equation	NOUN
iajs-1809	69	77	(	(	PUNCT
iajs-1809	69	78	17	17	NUM
iajs-1809	69	79	)	)	PUNCT
iajs-1809	69	80	in	in	ADP
iajs-1809	69	81	equation	equation	NOUN
iajs-1809	69	82	(	(	PUNCT
iajs-1809	69	83	5	5	NUM
iajs-1809	69	84	)	)	PUNCT
iajs-1809	69	85	,	,	PUNCT
iajs-1809	69	86	we	we	PRON
iajs-1809	69	87	conclude	conclude	VERB
iajs-1809	69	88	the	the	DET
iajs-1809	69	89	reliability	reliability	NOUN
iajs-1809	69	90	estimation	estimation	NOUN
iajs-1809	69	91	of	of	ADP
iajs-1809	69	92	r(s	r(s	PROPN
iajs-1809	69	93	,	,	PUNCT
iajs-1809	69	94	k	k	NOUN
iajs-1809	69	95	)	)	PUNCT
iajs-1809	69	96	based	base	VERB
iajs-1809	69	97	on	on	ADP
iajs-1809	69	98	modified	modify	VERB
iajs-1809	69	99	thompson	thompson	NOUN
iajs-1809	69	100	type	type	NOUN
iajs-1809	69	101	shrinkage	shrinkage	NOUN
iajs-1809	69	102	weight	weight	NOUN
iajs-1809	69	103	factor	factor	NOUN
iajs-1809	69	104	as	as	SCONJ
iajs-1809	69	105	follows	follow	VERB
iajs-1809	69	106	:	:	PUNCT
iajs-1809	69	107	𝑅	𝑅	NOUN
iajs-1809	69	108	,	,	PUNCT
iajs-1809	69	109	∑	∑	PROPN
iajs-1809	69	110	!	!	PUNCT
iajs-1809	69	111	!	!	PUNCT
iajs-1809	70	1	∏	∏	PROPN
iajs-1809	71	1	𝑘	𝑘	PRON
iajs-1809	71	2	𝑗	𝑗	PROPN
iajs-1809	71	3	(	(	PUNCT
iajs-1809	71	4	18	18	NUM
iajs-1809	71	5	)	)	PUNCT
iajs-1809	71	6	2.5	2.5	NUM
iajs-1809	71	7	least	least	ADJ
iajs-1809	71	8	squares	square	NOUN
iajs-1809	71	9	estimator	estimator	NOUN
iajs-1809	71	10	method	method	NOUN
iajs-1809	71	11	(	(	PUNCT
iajs-1809	71	12	ls	ls	PROPN
iajs-1809	71	13	)	)	PUNCT
iajs-1809	72	1	[	[	X
iajs-1809	72	2	2	2	NUM
iajs-1809	72	3	&	&	CCONJ
iajs-1809	72	4	13	13	NUM
iajs-1809	72	5	]	]	PUNCT
iajs-1809	72	6	in	in	ADP
iajs-1809	72	7	this	this	DET
iajs-1809	72	8	subsection	subsection	NOUN
iajs-1809	72	9	,	,	PUNCT
iajs-1809	72	10	we	we	PRON
iajs-1809	72	11	discuss	discuss	VERB
iajs-1809	72	12	the	the	DET
iajs-1809	72	13	estimator	estimator	NOUN
iajs-1809	72	14	of	of	ADP
iajs-1809	72	15	least	least	ADJ
iajs-1809	72	16	squares	square	NOUN
iajs-1809	72	17	method	method	NOUN
iajs-1809	72	18	,	,	PUNCT
iajs-1809	72	19	this	this	DET
iajs-1809	72	20	method	method	NOUN
iajs-1809	72	21	used	use	VERB
iajs-1809	72	22	for	for	ADP
iajs-1809	72	23	many	many	ADJ
iajs-1809	72	24	mathematical	mathematical	ADJ
iajs-1809	72	25	and	and	CCONJ
iajs-1809	72	26	engineering	engineering	NOUN
iajs-1809	72	27	application	application	NOUN
iajs-1809	72	28	[	[	X
iajs-1809	72	29	2	2	NUM
iajs-1809	72	30	]	]	PUNCT
iajs-1809	72	31	.	.	PUNCT
iajs-1809	73	1	the	the	DET
iajs-1809	73	2	main	main	ADJ
iajs-1809	73	3	idea	idea	NOUN
iajs-1809	73	4	for	for	ADP
iajs-1809	73	5	this	this	DET
iajs-1809	73	6	method	method	NOUN
iajs-1809	73	7	by	by	ADP
iajs-1809	73	8	minimizes	minimize	VERB
iajs-1809	73	9	the	the	DET
iajs-1809	73	10	sum	sum	NOUN
iajs-1809	73	11	of	of	ADP
iajs-1809	73	12	squared	square	VERB
iajs-1809	73	13	error	error	NOUN
iajs-1809	73	14	between	between	ADP
iajs-1809	73	15	the	the	DET
iajs-1809	73	16	values	value	NOUN
iajs-1809	73	17	and	and	CCONJ
iajs-1809	73	18	the	the	DET
iajs-1809	73	19	expected	expect	VERB
iajs-1809	73	20	value	value	NOUN
iajs-1809	73	21	.	.	PUNCT
iajs-1809	74	1	to	to	PART
iajs-1809	74	2	find	find	VERB
iajs-1809	74	3	the	the	DET
iajs-1809	74	4	parameters	parameter	NOUN
iajs-1809	74	5	αi	αi	X
iajs-1809	74	6	(	(	PUNCT
iajs-1809	74	7	i=1,2	i=1,2	PROPN
iajs-1809	74	8	)	)	PUNCT
iajs-1809	74	9	via	via	ADP
iajs-1809	74	10	mentioned	mention	VERB
iajs-1809	74	11	least	least	ADJ
iajs-1809	74	12	squares	square	NOUN
iajs-1809	74	13	method	method	NOUN
iajs-1809	74	14	,	,	PUNCT
iajs-1809	74	15	let	let	VERB
iajs-1809	74	16	:	:	PUNCT
iajs-1809	74	17	s=∑	s=∑	NOUN
iajs-1809	74	18	𝐹	𝐹	PROPN
iajs-1809	75	1	𝑥	𝑥	INTJ
iajs-1809	75	2	𝐸	𝐸	NOUN
iajs-1809	75	3	𝐹	𝐹	PROPN
iajs-1809	75	4	𝑥	𝑥	X
iajs-1809	75	5	i=1,2,3	i=1,2,3	NUM
iajs-1809	75	6	…	…	SYM
iajs-1809	75	7	…	…	SYM
iajs-1809	75	8	n	n	CCONJ
iajs-1809	75	9	(	(	PUNCT
iajs-1809	75	10	19	19	NUM
iajs-1809	75	11	)	)	PUNCT
iajs-1809	75	12	where	where	SCONJ
iajs-1809	75	13	,	,	PUNCT
iajs-1809	75	14	𝐹	𝐹	PROPN
iajs-1809	75	15	𝑥	𝑥	PROPN
iajs-1809	75	16	refer	refer	VERB
iajs-1809	75	17	to	to	ADP
iajs-1809	75	18	the	the	DET
iajs-1809	75	19	cdf	cdf	PROPN
iajs-1809	75	20	of	of	ADP
iajs-1809	75	21	two	two	NUM
iajs-1809	75	22	parameters	parameter	NOUN
iajs-1809	75	23	ewd	ewd	NOUN
iajs-1809	75	24	which	which	PRON
iajs-1809	75	25	is	be	AUX
iajs-1809	75	26	defined	define	VERB
iajs-1809	75	27	in	in	ADP
iajs-1809	75	28	equation	equation	NOUN
iajs-1809	75	29	(	(	PUNCT
iajs-1809	75	30	3	3	NUM
iajs-1809	75	31	)	)	PUNCT
iajs-1809	75	32	as	as	SCONJ
iajs-1809	75	33	follows	follow	VERB
iajs-1809	75	34	:	:	PUNCT
iajs-1809	75	35	𝐹	𝐹	PROPN
iajs-1809	76	1	𝑥	𝑥	NOUN
iajs-1809	76	2	=	=	SYM
iajs-1809	76	3	1	1	NUM
iajs-1809	76	4	𝑒	𝑒	X
iajs-1809	76	5	and	and	CCONJ
iajs-1809	76	6	,	,	PUNCT
iajs-1809	76	7	𝐸	𝐸	PROPN
iajs-1809	76	8	𝐹	𝐹	PROPN
iajs-1809	76	9	𝑥	𝑥	NOUN
iajs-1809	77	1	=	=	VERB
iajs-1809	77	2	𝑃	𝑃	NOUN
iajs-1809	77	3	such	such	ADJ
iajs-1809	77	4	as	as	ADP
iajs-1809	77	5	;	;	PUNCT
iajs-1809	77	6	𝑃	𝑃	NOUN
iajs-1809	77	7	=	=	SYM
iajs-1809	77	8	,	,	PUNCT
iajs-1809	77	9	i=1,2,	i=1,2,	NOUN
iajs-1809	77	10	…	…	SYM
iajs-1809	77	11	,n	,n	PUNCT
iajs-1809	77	12	𝐹	𝐹	PROPN
iajs-1809	78	1	𝑥	𝑥	VERB
iajs-1809	78	2	𝐸	𝐸	NOUN
iajs-1809	79	1	𝐹	𝐹	NOUN
iajs-1809	80	1	𝑥	𝑥	NOUN
iajs-1809	80	2	1	1	NUM
iajs-1809	80	3	𝑒	𝑒	NOUN
iajs-1809	80	4	=	=	PUNCT
iajs-1809	80	5	(	(	PUNCT
iajs-1809	80	6	20	20	NUM
iajs-1809	80	7	)	)	PUNCT
iajs-1809	80	8	now	now	ADV
iajs-1809	80	9	,	,	PUNCT
iajs-1809	80	10	taking	take	VERB
iajs-1809	80	11	the	the	DET
iajs-1809	80	12	natural	natural	ADJ
iajs-1809	80	13	logarithm	logarithm	NOUN
iajs-1809	80	14	of	of	ADP
iajs-1809	80	15	both	both	DET
iajs-1809	80	16	sides	side	NOUN
iajs-1809	80	17	in	in	ADP
iajs-1809	80	18	equation	equation	NOUN
iajs-1809	80	19	(	(	PUNCT
iajs-1809	80	20	20	20	NUM
iajs-1809	80	21	)	)	PUNCT
iajs-1809	80	22	as	as	ADP
iajs-1809	80	23	below	below	ADV
iajs-1809	80	24	:	:	PUNCT
iajs-1809	80	25	𝛼	𝛼	X
iajs-1809	80	26	ln	ln	NOUN
iajs-1809	80	27	1	1	NUM
iajs-1809	80	28	𝑒	𝑒	PROPN
iajs-1809	80	29	=	=	PROPN
iajs-1809	80	30	ln𝑃	ln𝑃	PROPN
iajs-1809	80	31	𝛼	𝛼	PROPN
iajs-1809	80	32	ln	ln	PROPN
iajs-1809	80	33	1	1	NUM
iajs-1809	80	34	𝑒	𝑒	PROPN
iajs-1809	80	35	-ln𝑃	-ln𝑃	PUNCT
iajs-1809	81	1	=	=	SYM
iajs-1809	81	2	0	0	NUM
iajs-1809	81	3	(	(	PUNCT
iajs-1809	81	4	21	21	NUM
iajs-1809	81	5	)	)	PUNCT
iajs-1809	81	6	now	now	ADV
iajs-1809	81	7	,	,	PUNCT
iajs-1809	81	8	by	by	ADP
iajs-1809	81	9	putting	put	VERB
iajs-1809	81	10	equation	equation	NOUN
iajs-1809	81	11	(	(	PUNCT
iajs-1809	81	12	21	21	NUM
iajs-1809	81	13	)	)	PUNCT
iajs-1809	81	14	in	in	ADP
iajs-1809	81	15	equation	equation	NOUN
iajs-1809	81	16	(	(	PUNCT
iajs-1809	81	17	19	19	NUM
iajs-1809	81	18	)	)	PUNCT
iajs-1809	81	19	we	we	PRON
iajs-1809	81	20	obtain	obtain	VERB
iajs-1809	81	21	:	:	PUNCT
iajs-1809	81	22	ihsciconf	ihsciconf	PROPN
iajs-1809	81	23	2017	2017	NUM
iajs-1809	81	24	special	special	ADJ
iajs-1809	81	25	issue	issue	NOUN
iajs-1809	81	26	ibn	ibn	PROPN
iajs-1809	81	27	al	al	PROPN
iajs-1809	81	28	-	-	PUNCT
iajs-1809	81	29	haitham	haitham	PROPN
iajs-1809	81	30	journal	journal	PROPN
iajs-1809	81	31	for	for	ADP
iajs-1809	81	32	pure	pure	ADJ
iajs-1809	81	33	and	and	CCONJ
iajs-1809	81	34	applied	apply	VERB
iajs-1809	81	35	science	science	NOUN
iajs-1809	81	36	https://doi.org/	https://doi.org/	NOUN
iajs-1809	81	37	10.30526/2017.ihsciconf.1809	10.30526/2017.ihsciconf.1809	NUM
iajs-1809	81	38	for	for	ADP
iajs-1809	81	39	more	more	ADJ
iajs-1809	81	40	information	information	NOUN
iajs-1809	81	41	about	about	ADP
iajs-1809	81	42	the	the	DET
iajs-1809	81	43	conference	conference	NOUN
iajs-1809	81	44	please	please	INTJ
iajs-1809	81	45	visit	visit	VERB
iajs-1809	81	46	the	the	DET
iajs-1809	81	47	websites	website	NOUN
iajs-1809	81	48	:	:	PUNCT
iajs-1809	81	49	http://www.ihsciconf.org/conf/	http://www.ihsciconf.org/conf/	VERB
iajs-1809	81	50	   	   	SPACE
iajs-1809	81	51	www.ihsciconf.org	www.ihsciconf.org	ADJ
iajs-1809	81	52	   	   	SPACE
iajs-1809	81	53	mathematics|370	mathematics|370	NOUN
iajs-1809	81	54	    	    	SPACE
iajs-1809	81	55	𝑆	𝑆	PROPN
iajs-1809	81	56	∑	∑	ADP
iajs-1809	81	57	𝛼	𝛼	PROPN
iajs-1809	81	58	ln	ln	ADJ
iajs-1809	81	59	1	1	NUM
iajs-1809	81	60	𝑒	𝑒	PROPN
iajs-1809	81	61	ln𝑃	ln𝑃	PROPN
iajs-1809	81	62	(	(	PUNCT
iajs-1809	81	63	22	22	NUM
iajs-1809	81	64	)	)	PUNCT
iajs-1809	81	65	and	and	CCONJ
iajs-1809	81	66	be	be	AUX
iajs-1809	81	67	finding	find	VERB
iajs-1809	81	68	the	the	DET
iajs-1809	81	69	partial	partial	ADJ
iajs-1809	81	70	derivatives	derivative	NOUN
iajs-1809	81	71	for	for	ADP
iajs-1809	81	72	the	the	DET
iajs-1809	81	73	equation	equation	NOUN
iajs-1809	81	74	(	(	PUNCT
iajs-1809	81	75	22	22	NUM
iajs-1809	81	76	)	)	PUNCT
iajs-1809	81	77	with	with	ADP
iajs-1809	81	78	respect	respect	NOUN
iajs-1809	81	79	to	to	ADP
iajs-1809	81	80	α1	α1	PROPN
iajs-1809	81	81	.	.	PUNCT
iajs-1809	82	1	2	2	NUM
iajs-1809	82	2	∑	∑	PUNCT
iajs-1809	82	3	𝛼	𝛼	PROPN
iajs-1809	82	4	ln	ln	ADJ
iajs-1809	82	5	1	1	NUM
iajs-1809	82	6	𝑒	𝑒	PROPN
iajs-1809	82	7	ln𝑃	ln𝑃	PROPN
iajs-1809	82	8	ln	ln	ADJ
iajs-1809	82	9	1	1	NUM
iajs-1809	82	10	𝑒	𝑒	PROPN
iajs-1809	82	11	(	(	PUNCT
iajs-1809	82	12	23	23	NUM
iajs-1809	82	13	)	)	PUNCT
iajs-1809	82	14	then	then	ADV
iajs-1809	82	15	,	,	PUNCT
iajs-1809	82	16	equal	equal	VERB
iajs-1809	82	17	the	the	DET
iajs-1809	82	18	equation	equation	NOUN
iajs-1809	82	19	(	(	PUNCT
iajs-1809	82	20	23	23	NUM
iajs-1809	82	21	)	)	PUNCT
iajs-1809	82	22	to	to	ADP
iajs-1809	82	23	zero	zero	NUM
iajs-1809	82	24	get	get	VERB
iajs-1809	82	25	as	as	ADP
iajs-1809	82	26	:	:	PUNCT
iajs-1809	82	27	∑	∑	PUNCT
iajs-1809	82	28	𝛼	𝛼	PROPN
iajs-1809	82	29	ln	ln	ADJ
iajs-1809	82	30	1	1	NUM
iajs-1809	82	31	𝑒	𝑒	X
iajs-1809	82	32	–	–	PUNCT
iajs-1809	82	33	ln𝑃	ln𝑃	NOUN
iajs-1809	82	34	ln	ln	ADJ
iajs-1809	82	35	1	1	NUM
iajs-1809	82	36	𝑒	𝑒	PROPN
iajs-1809	82	37	0	0	NUM
iajs-1809	82	38	∑	∑	ADP
iajs-1809	82	39	𝛼	𝛼	PROPN
iajs-1809	82	40	ln	ln	NOUN
iajs-1809	82	41	1	1	NUM
iajs-1809	82	42	𝑒	𝑒	PROPN
iajs-1809	82	43	ln	ln	ADJ
iajs-1809	82	44	1	1	NUM
iajs-1809	82	45	𝑒	𝑒	PROPN
iajs-1809	82	46	∑	∑	PROPN
iajs-1809	82	47	ln𝑃	ln𝑃	PROPN
iajs-1809	82	48	ln	ln	ADJ
iajs-1809	82	49	1	1	NUM
iajs-1809	82	50	𝑒	𝑒	NOUN
iajs-1809	82	51	𝛼	𝛼	NOUN
iajs-1809	82	52	=	=	PUNCT
iajs-1809	82	53	∑	∑	PUNCT
iajs-1809	82	54	∑	∑	PROPN
iajs-1809	82	55	(	(	PUNCT
iajs-1809	82	56	24	24	NUM
iajs-1809	82	57	)	)	PUNCT
iajs-1809	82	58	by	by	ADP
iajs-1809	82	59	same	same	ADJ
iajs-1809	82	60	way	way	NOUN
iajs-1809	82	61	,	,	PUNCT
iajs-1809	82	62	one	one	PRON
iajs-1809	82	63	can	can	AUX
iajs-1809	82	64	estimate	estimate	VERB
iajs-1809	82	65	the	the	DET
iajs-1809	82	66	parameter	parameter	NOUN
iajs-1809	82	67	𝛼	𝛼	NOUN
iajs-1809	82	68	for	for	ADP
iajs-1809	82	69	y	y	PROPN
iajs-1809	82	70	which	which	PRON
iajs-1809	82	71	is	be	AUX
iajs-1809	82	72	represent	represent	VERB
iajs-1809	82	73	stress	stress	NOUN
iajs-1809	82	74	random	random	ADJ
iajs-1809	82	75	variable	variable	NOUN
iajs-1809	82	76	and	and	CCONJ
iajs-1809	82	77	follows	follow	VERB
iajs-1809	82	78	ewd	ewd	PROPN
iajs-1809	82	79	(	(	PUNCT
iajs-1809	82	80	α2,θ	α2,θ	PROPN
iajs-1809	82	81	)	)	PUNCT
iajs-1809	82	82	with	with	ADP
iajs-1809	82	83	size	size	NOUN
iajs-1809	82	84	m	m	VERB
iajs-1809	82	85	as	as	SCONJ
iajs-1809	82	86	follow	follow	VERB
iajs-1809	82	87	:	:	PUNCT
iajs-1809	82	88	𝛼	𝛼	X
iajs-1809	82	89	=	=	PUNCT
iajs-1809	82	90	∑	∑	PUNCT
iajs-1809	82	91	∑	∑	PROPN
iajs-1809	82	92	(	(	PUNCT
iajs-1809	82	93	25	25	NUM
iajs-1809	82	94	)	)	PUNCT
iajs-1809	82	95	;	;	PUNCT
iajs-1809	82	96	𝑃	𝑃	PROPN
iajs-1809	82	97	=	=	SYM
iajs-1809	82	98	,	,	PUNCT
iajs-1809	82	99	j=1,2,	j=1,2,	NOUN
iajs-1809	82	100	…	…	SYM
iajs-1809	82	101	,m	,m	PUNCT
iajs-1809	82	102	.	.	PUNCT
iajs-1809	83	1	put	put	VERB
iajs-1809	83	2	𝛼	𝛼	PRON
iajs-1809	83	3	and	and	CCONJ
iajs-1809	83	4	𝛼	𝛼	X
iajs-1809	83	5	in	in	ADP
iajs-1809	83	6	equation	equation	NOUN
iajs-1809	83	7	(	(	PUNCT
iajs-1809	83	8	5	5	NUM
iajs-1809	83	9	)	)	PUNCT
iajs-1809	83	10	,	,	PUNCT
iajs-1809	83	11	will	will	AUX
iajs-1809	83	12	be	be	AUX
iajs-1809	83	13	obtain	obtain	VERB
iajs-1809	83	14	the	the	DET
iajs-1809	83	15	reliability	reliability	NOUN
iajs-1809	83	16	estimation	estimation	NOUN
iajs-1809	83	17	of	of	ADP
iajs-1809	83	18	r(s	r(s	PROPN
iajs-1809	83	19	,	,	PUNCT
iajs-1809	83	20	k	k	NOUN
iajs-1809	83	21	)	)	PUNCT
iajs-1809	83	22	based	base	VERB
iajs-1809	83	23	on	on	ADP
iajs-1809	83	24	ls	ls	PROPN
iajs-1809	83	25	as	as	SCONJ
iajs-1809	83	26	follows	follow	VERB
iajs-1809	83	27	:	:	PUNCT
iajs-1809	84	1	𝑹	𝑹	NOUN
iajs-1809	84	2	𝒔,𝒌	𝒔,𝒌	INTJ
iajs-1809	85	1	𝑳𝑺	𝑳𝑺	PROPN
iajs-1809	85	2	𝜶𝟐𝑳𝑺	𝜶𝟐𝑳𝑺	ADJ
iajs-1809	85	3	𝜶𝟏𝑳𝑺	𝜶𝟏𝑳𝑺	NOUN
iajs-1809	85	4	∑	∑	PROPN
iajs-1809	85	5	𝒌	𝒌	PUNCT
iajs-1809	85	6	!	!	PUNCT
iajs-1809	86	1	𝒌	𝒌	PRON
iajs-1809	86	2	𝒊	𝒊	X
iajs-1809	86	3	!	!	PUNCT
iajs-1809	86	4	∏	∏	PROPN
iajs-1809	87	1	𝒌	𝒌	PRON
iajs-1809	87	2	𝜶𝟐𝑳𝑺	𝜶𝟐𝑳𝑺	PROPN
iajs-1809	87	3	𝜶𝟏𝑳𝑺	𝜶𝟏𝑳𝑺	PROPN
iajs-1809	87	4	𝒋𝒊	𝒋𝒊	PROPN
iajs-1809	87	5	𝒋	𝒋	X
iajs-1809	87	6	𝟎	𝟎	NUM
iajs-1809	87	7	𝟏𝒌	𝟏𝒌	X
iajs-1809	87	8	𝒊	𝒊	X
iajs-1809	87	9	𝒔	𝒔	X
iajs-1809	87	10	i	i	PROPN
iajs-1809	87	11	,	,	PUNCT
iajs-1809	87	12	j	j	PROPN
iajs-1809	87	13	,	,	PUNCT
iajs-1809	87	14	k	k	PROPN
iajs-1809	87	15	are	be	AUX
iajs-1809	87	16	integer	integer	NOUN
iajs-1809	87	17	(	(	PUNCT
iajs-1809	87	18	26	26	NUM
iajs-1809	87	19	)	)	PUNCT
iajs-1809	87	20	ranked	rank	VERB
iajs-1809	87	21	set	set	ADJ
iajs-1809	87	22	sampling	sampling	NOUN
iajs-1809	87	23	method	method	NOUN
iajs-1809	87	24	(	(	PUNCT
iajs-1809	87	25	rss	rss	NOUN
iajs-1809	87	26	)	)	PUNCT
iajs-1809	88	1	[	[	X
iajs-1809	88	2	8	8	NUM
iajs-1809	88	3	,	,	PUNCT
iajs-1809	88	4	12	12	NUM
iajs-1809	88	5	,	,	PUNCT
iajs-1809	88	6	26	26	NUM
iajs-1809	88	7	&	&	CCONJ
iajs-1809	88	8	27	27	NUM
iajs-1809	88	9	]	]	PUNCT
iajs-1809	88	10	“	"	PUNCT
iajs-1809	88	11	ranked	rank	VERB
iajs-1809	88	12	set	set	ADJ
iajs-1809	88	13	sampling	sampling	NOUN
iajs-1809	88	14	was	be	AUX
iajs-1809	88	15	introduced	introduce	VERB
iajs-1809	88	16	and	and	CCONJ
iajs-1809	88	17	applied	apply	VERB
iajs-1809	88	18	to	to	ADP
iajs-1809	88	19	the	the	DET
iajs-1809	88	20	problem	problem	NOUN
iajs-1809	88	21	of	of	ADP
iajs-1809	88	22	estimating	estimate	VERB
iajs-1809	88	23	mean	mean	ADJ
iajs-1809	88	24	pasture	pasture	NOUN
iajs-1809	88	25	yields	yield	NOUN
iajs-1809	88	26	by	by	ADP
iajs-1809	88	27	mclntyre	mclntyre	PROPN
iajs-1809	88	28	in	in	ADP
iajs-1809	88	29	1952	1952	NUM
iajs-1809	88	30	this	this	DET
iajs-1809	88	31	function	function	NOUN
iajs-1809	88	32	was	be	AUX
iajs-1809	88	33	to	to	PART
iajs-1809	88	34	improve	improve	VERB
iajs-1809	88	35	the	the	DET
iajs-1809	88	36	efficiency	efficiency	NOUN
iajs-1809	88	37	of	of	ADP
iajs-1809	88	38	the	the	DET
iajs-1809	88	39	sample	sample	NOUN
iajs-1809	89	1	mean	mean	VERB
iajs-1809	89	2	as	as	SCONJ
iajs-1809	89	3	an	an	DET
iajs-1809	89	4	estimator	estimator	NOUN
iajs-1809	89	5	of	of	ADP
iajs-1809	89	6	the	the	DET
iajs-1809	89	7	population	population	NOUN
iajs-1809	89	8	mean	mean	VERB
iajs-1809	89	9	in	in	ADP
iajs-1809	89	10	situations	situation	NOUN
iajs-1809	89	11	in	in	ADP
iajs-1809	89	12	which	which	PRON
iajs-1809	89	13	the	the	DET
iajs-1809	89	14	characteristic	characteristic	NOUN
iajs-1809	89	15	of	of	ADP
iajs-1809	89	16	interest	interest	NOUN
iajs-1809	89	17	was	be	AUX
iajs-1809	89	18	difficult	difficult	ADJ
iajs-1809	89	19	or	or	CCONJ
iajs-1809	89	20	expensive	expensive	ADJ
iajs-1809	89	21	to	to	PART
iajs-1809	89	22	measure	measure	VERB
iajs-1809	89	23	,	,	PUNCT
iajs-1809	89	24	but	but	CCONJ
iajs-1809	89	25	using	use	VERB
iajs-1809	89	26	ranked	rank	VERB
iajs-1809	89	27	,	,	PUNCT
iajs-1809	89	28	it	it	PRON
iajs-1809	89	29	become	become	VERB
iajs-1809	89	30	cheaper	cheap	ADJ
iajs-1809	89	31	”	"	PUNCT
iajs-1809	90	1	[	[	X
iajs-1809	90	2	27	27	NUM
iajs-1809	90	3	&	&	CCONJ
iajs-1809	90	4	12	12	NUM
iajs-1809	90	5	]	]	PUNCT
iajs-1809	90	6	“	"	PUNCT
iajs-1809	90	7	the	the	DET
iajs-1809	90	8	concept	concept	NOUN
iajs-1809	90	9	of	of	ADP
iajs-1809	90	10	rank	rank	NOUN
iajs-1809	90	11	set	set	NOUN
iajs-1809	90	12	sampling	sample	VERB
iajs-1809	90	13	is	be	AUX
iajs-1809	90	14	a	a	DET
iajs-1809	90	15	recent	recent	ADJ
iajs-1809	90	16	development	development	NOUN
iajs-1809	90	17	that	that	PRON
iajs-1809	90	18	enables	enable	VERB
iajs-1809	90	19	one	one	NUM
iajs-1809	90	20	to	to	PART
iajs-1809	90	21	provide	provide	VERB
iajs-1809	90	22	more	more	ADJ
iajs-1809	90	23	structure	structure	NOUN
iajs-1809	90	24	to	to	ADP
iajs-1809	90	25	the	the	DET
iajs-1809	90	26	collected	collected	ADJ
iajs-1809	90	27	sample	sample	NOUN
iajs-1809	90	28	items	item	NOUN
iajs-1809	90	29	”	"	PUNCT
iajs-1809	91	1	[	[	X
iajs-1809	91	2	26	26	NUM
iajs-1809	91	3	]	]	PUNCT
iajs-1809	91	4	let	let	VERB
iajs-1809	91	5	x1	x1	NUM
iajs-1809	91	6	,	,	PUNCT
iajs-1809	91	7	x2	x2	PROPN
iajs-1809	91	8	,	,	PUNCT
iajs-1809	91	9	…	…	PUNCT
iajs-1809	91	10	,	,	PUNCT
iajs-1809	91	11	xn	xn	PUNCT
iajs-1809	91	12	be	be	AUX
iajs-1809	91	13	a	a	DET
iajs-1809	91	14	random	random	ADJ
iajs-1809	91	15	sample	sample	NOUN
iajs-1809	91	16	ewd	ewd	PROPN
iajs-1809	91	17	,	,	PUNCT
iajs-1809	91	18	let	let	VERB
iajs-1809	91	19	x(1	x(1	PROPN
iajs-1809	91	20	)	)	PUNCT
iajs-1809	91	21	,	,	PUNCT
iajs-1809	91	22	x(2	x(2	PROPN
iajs-1809	91	23	)	)	PUNCT
iajs-1809	91	24	,	,	PUNCT
iajs-1809	91	25	…	…	PUNCT
iajs-1809	91	26	,	,	PUNCT
iajs-1809	91	27	x(n	x(n	NOUN
iajs-1809	91	28	)	)	PUNCT
iajs-1809	91	29	be	be	VERB
iajs-1809	91	30	order	order	NOUN
iajs-1809	91	31	statistics	statistic	NOUN
iajs-1809	91	32	increasing	increase	VERB
iajs-1809	91	33	order	order	NOUN
iajs-1809	91	34	.	.	PUNCT
iajs-1809	92	1	the	the	DET
iajs-1809	92	2	pdf	pdf	NOUN
iajs-1809	92	3	of	of	ADP
iajs-1809	92	4	x(q	x(q	PROPN
iajs-1809	92	5	)	)	PUNCT
iajs-1809	92	6	is	be	AUX
iajs-1809	92	7	:	:	PUNCT
iajs-1809	92	8	ihsciconf	ihsciconf	PROPN
iajs-1809	92	9	2017	2017	NUM
iajs-1809	92	10	special	special	ADJ
iajs-1809	92	11	issue	issue	NOUN
iajs-1809	92	12	ibn	ibn	PROPN
iajs-1809	92	13	al	al	PROPN
iajs-1809	92	14	-	-	PUNCT
iajs-1809	92	15	haitham	haitham	PROPN
iajs-1809	92	16	journal	journal	PROPN
iajs-1809	92	17	for	for	ADP
iajs-1809	92	18	pure	pure	ADJ
iajs-1809	92	19	and	and	CCONJ
iajs-1809	92	20	applied	apply	VERB
iajs-1809	92	21	science	science	NOUN
iajs-1809	92	22	https://doi.org/	https://doi.org/	NOUN
iajs-1809	92	23	10.30526/2017.ihsciconf.1809	10.30526/2017.ihsciconf.1809	NUM
iajs-1809	92	24	for	for	ADP
iajs-1809	92	25	more	more	ADJ
iajs-1809	92	26	information	information	NOUN
iajs-1809	92	27	about	about	ADP
iajs-1809	92	28	the	the	DET
iajs-1809	92	29	conference	conference	NOUN
iajs-1809	92	30	please	please	INTJ
iajs-1809	92	31	visit	visit	VERB
iajs-1809	92	32	the	the	DET
iajs-1809	92	33	websites	website	NOUN
iajs-1809	92	34	:	:	PUNCT
iajs-1809	92	35	http://www.ihsciconf.org/conf/	http://www.ihsciconf.org/conf/	VERB
iajs-1809	92	36	   	   	SPACE
iajs-1809	92	37	www.ihsciconf.org	www.ihsciconf.org	ADJ
iajs-1809	92	38	   	   	SPACE
iajs-1809	92	39	mathematics|371	mathematics|371	NOUN
iajs-1809	92	40	    	    	SPACE
iajs-1809	92	41	𝑓	𝑓	PRON
iajs-1809	92	42	𝑥	𝑥	X
iajs-1809	92	43	!	!	PUNCT
iajs-1809	92	44	!	!	PUNCT
iajs-1809	92	45	!	!	PUNCT
iajs-1809	93	1	𝐹	𝐹	PRON
iajs-1809	94	1	𝑥	𝑥	INTJ
iajs-1809	94	2	1	1	NUM
iajs-1809	94	3	𝐹	𝐹	NOUN
iajs-1809	95	1	𝑥	𝑥	PROPN
iajs-1809	95	2	𝑓	𝑓	PRON
iajs-1809	95	3	𝑥	𝑥	X
iajs-1809	95	4	(	(	PUNCT
iajs-1809	95	5	27	27	NUM
iajs-1809	95	6	)	)	PUNCT
iajs-1809	95	7	by	by	ADP
iajs-1809	95	8	substituting	substitute	VERB
iajs-1809	95	9	the	the	DET
iajs-1809	95	10	pdf	pdf	NOUN
iajs-1809	95	11	from	from	ADP
iajs-1809	95	12	equation	equation	NOUN
iajs-1809	95	13	(	(	PUNCT
iajs-1809	95	14	1	1	NUM
iajs-1809	95	15	)	)	PUNCT
iajs-1809	95	16	and	and	CCONJ
iajs-1809	95	17	the	the	DET
iajs-1809	95	18	cdf	cdf	PROPN
iajs-1809	95	19	from	from	ADP
iajs-1809	95	20	equation	equation	NOUN
iajs-1809	95	21	(	(	PUNCT
iajs-1809	95	22	3	3	NUM
iajs-1809	95	23	)	)	PUNCT
iajs-1809	95	24	in	in	ADP
iajs-1809	95	25	equation	equation	NOUN
iajs-1809	95	26	(	(	PUNCT
iajs-1809	95	27	27	27	NUM
iajs-1809	95	28	)	)	PUNCT
iajs-1809	95	29	will	will	AUX
iajs-1809	95	30	get	get	VERB
iajs-1809	95	31	:	:	PUNCT
iajs-1809	95	32	𝑓	𝑓	PRON
iajs-1809	95	33	𝑥	𝑥	X
iajs-1809	95	34	𝑛	𝑛	PROPN
iajs-1809	95	35	!	!	PUNCT
iajs-1809	95	36	𝑞	𝑞	PROPN
iajs-1809	95	37	1	1	NUM
iajs-1809	95	38	!	!	PUNCT
iajs-1809	96	1	𝑛	𝑛	DET
iajs-1809	96	2	𝑞	𝑞	X
iajs-1809	96	3	!	!	PUNCT
iajs-1809	97	1	1	1	NUM
iajs-1809	97	2	𝑒	𝑒	PROPN
iajs-1809	97	3	1	1	NUM
iajs-1809	97	4	1	1	NUM
iajs-1809	97	5	𝑒	𝑒	PROPN
iajs-1809	97	6	𝛼	𝛼	PUNCT
iajs-1809	97	7	𝜃𝑥	𝜃𝑥	ADP
iajs-1809	97	8	𝑒	𝑒	PROPN
iajs-1809	97	9	1	1	NUM
iajs-1809	97	10	𝑒	𝑒	ADP
iajs-1809	97	11	…	…	PUNCT
iajs-1809	97	12	(	(	PUNCT
iajs-1809	97	13	28	28	NUM
iajs-1809	97	14	)	)	PUNCT
iajs-1809	97	15	𝑓	𝑓	PRON
iajs-1809	97	16	𝑥	𝑥	X
iajs-1809	97	17	q𝛼	q𝛼	ADJ
iajs-1809	97	18	𝜃𝑥	𝜃𝑥	ADP
iajs-1809	97	19	𝑒	𝑒	PROPN
iajs-1809	97	20	1	1	NUM
iajs-1809	97	21	𝑒	𝑒	PROPN
iajs-1809	97	22	1	1	NUM
iajs-1809	97	23	1	1	NUM
iajs-1809	97	24	𝑒	𝑒	ADP
iajs-1809	97	25	such	such	ADJ
iajs-1809	97	26	that	that	PRON
iajs-1809	98	1	;	;	PUNCT
iajs-1809	98	2	q	q	X
iajs-1809	98	3	!	!	PUNCT
iajs-1809	98	4	!	!	PUNCT
iajs-1809	98	5	!	!	PUNCT
iajs-1809	99	1	the	the	DET
iajs-1809	99	2	likelihood	likelihood	NOUN
iajs-1809	99	3	function	function	NOUN
iajs-1809	99	4	of	of	ADP
iajs-1809	99	5	order	order	NOUN
iajs-1809	99	6	sample	sample	PROPN
iajs-1809	99	7	x(1),x(2),	x(1),x(2),	PROPN
iajs-1809	99	8	…	…	PUNCT
iajs-1809	99	9	,x(n	,x(n	PUNCT
iajs-1809	99	10	)	)	PUNCT
iajs-1809	99	11	is	be	AUX
iajs-1809	99	12	:	:	PUNCT
iajs-1809	99	13	l	l	NOUN
iajs-1809	99	14	𝑥	𝑥	X
iajs-1809	99	15	,	,	PUNCT
iajs-1809	99	16	𝑥	𝑥	X
iajs-1809	99	17	,	,	PUNCT
iajs-1809	99	18	…	…	PUNCT
iajs-1809	99	19	,	,	PUNCT
iajs-1809	99	20	𝑥	𝑥	X
iajs-1809	99	21	;	;	PUNCT
iajs-1809	99	22	𝛼	𝛼	X
iajs-1809	99	23	,	,	PUNCT
iajs-1809	99	24	𝜃	𝜃	VERB
iajs-1809	99	25	𝑄	𝑄	NOUN
iajs-1809	99	26	𝛼	𝛼	VERB
iajs-1809	99	27	𝜃	𝜃	NUM
iajs-1809	99	28	∏	∏	NUM
iajs-1809	99	29	𝑥	𝑥	PRON
iajs-1809	99	30	∏	∏	PROPN
iajs-1809	99	31	𝑒	𝑒	PROPN
iajs-1809	99	32	∏	∏	PROPN
iajs-1809	99	33	1	1	NUM
iajs-1809	99	34	𝑒	𝑒	PROPN
iajs-1809	99	35	∏	∏	NUM
iajs-1809	99	36	1	1	NUM
iajs-1809	99	37	1	1	NUM
iajs-1809	99	38	𝑒	𝑒	NOUN
iajs-1809	99	39	…	…	PUNCT
iajs-1809	99	40	(	(	PUNCT
iajs-1809	99	41	29	29	NUM
iajs-1809	99	42	)	)	PUNCT
iajs-1809	99	43	where	where	SCONJ
iajs-1809	99	44	,	,	PUNCT
iajs-1809	99	45	take	take	VERB
iajs-1809	99	46	(	(	PUNCT
iajs-1809	99	47	ln	ln	ADJ
iajs-1809	99	48	)	)	PUNCT
iajs-1809	99	49	for	for	ADP
iajs-1809	99	50	both	both	DET
iajs-1809	99	51	side	side	NOUN
iajs-1809	99	52	of	of	ADP
iajs-1809	99	53	the	the	DET
iajs-1809	99	54	equation	equation	NOUN
iajs-1809	99	55	(	(	PUNCT
iajs-1809	99	56	29	29	NUM
iajs-1809	99	57	)	)	PUNCT
iajs-1809	99	58	as	as	ADP
iajs-1809	99	59	below	below	ADV
iajs-1809	99	60	:	:	PUNCT
iajs-1809	100	1	ln	ln	PROPN
iajs-1809	100	2	𝑙	𝑙	PRON
iajs-1809	100	3	nlnq	nlnq	PROPN
iajs-1809	101	1	nln𝛼	nln𝛼	ADV
iajs-1809	101	2	nln𝜃	nln𝜃	VERB
iajs-1809	101	3	𝜃	𝜃	PUNCT
iajs-1809	101	4	1	1	NUM
iajs-1809	101	5	∑	∑	ADV
iajs-1809	101	6	𝐿𝑛𝑥	𝐿𝑛𝑥	PROPN
iajs-1809	101	7	–	–	PUNCT
iajs-1809	101	8	∑	∑	PUNCT
iajs-1809	101	9	𝑥	𝑥	DET
iajs-1809	101	10	𝑞𝛼	𝑞𝛼	NUM
iajs-1809	101	11	1	1	NUM
iajs-1809	101	12	∑	∑	NOUN
iajs-1809	101	13	𝐿𝑛	𝐿𝑛	PROPN
iajs-1809	101	14	1	1	NUM
iajs-1809	101	15	𝑒	𝑒	VERB
iajs-1809	101	16	𝑛	𝑛	PRON
iajs-1809	101	17	𝑞	𝑞	NOUN
iajs-1809	101	18	∑	∑	PROPN
iajs-1809	101	19	𝐿𝑛	𝐿𝑛	PROPN
iajs-1809	101	20	1	1	NUM
iajs-1809	101	21	1	1	NUM
iajs-1809	101	22	𝑒	𝑒	AUX
iajs-1809	101	23	take	take	VERB
iajs-1809	101	24	the	the	DET
iajs-1809	101	25	partial	partial	ADJ
iajs-1809	101	26	derivative	derivative	NOUN
iajs-1809	101	27	with	with	ADP
iajs-1809	101	28	respect	respect	NOUN
iajs-1809	101	29	to	to	ADP
iajs-1809	101	30	the	the	DET
iajs-1809	101	31	parameter	parameter	NOUN
iajs-1809	101	32	𝛼	𝛼	PUNCT
iajs-1809	101	33	get	get	VERB
iajs-1809	101	34	the	the	DET
iajs-1809	101	35	following	following	NOUN
iajs-1809	101	36	:	:	PUNCT
iajs-1809	101	37	∑	∑	PUNCT
iajs-1809	101	38	𝑞	𝑞	X
iajs-1809	101	39	𝐿𝑛	𝐿𝑛	PROPN
iajs-1809	101	40	1	1	NUM
iajs-1809	101	41	𝑒	𝑒	ADP
iajs-1809	101	42	∑	∑	DET
iajs-1809	101	43	𝑛	𝑛	PRON
iajs-1809	101	44	𝑞	𝑞	X
iajs-1809	101	45	(	(	PUNCT
iajs-1809	101	46	30	30	NUM
iajs-1809	101	47	)	)	PUNCT
iajs-1809	101	48	now	now	ADV
iajs-1809	101	49	,	,	PUNCT
iajs-1809	101	50	equal	equal	VERB
iajs-1809	101	51	the	the	DET
iajs-1809	101	52	equation	equation	NOUN
iajs-1809	101	53	(	(	PUNCT
iajs-1809	101	54	30	30	NUM
iajs-1809	101	55	)	)	PUNCT
iajs-1809	101	56	to	to	ADP
iajs-1809	101	57	zero	zero	NUM
iajs-1809	101	58	,	,	PUNCT
iajs-1809	101	59	we	we	PRON
iajs-1809	101	60	get	get	VERB
iajs-1809	101	61	:	:	PUNCT
iajs-1809	101	62	∑	∑	PUNCT
iajs-1809	101	63	𝑞	𝑞	X
iajs-1809	102	1	𝐿𝑛	𝐿𝑛	PROPN
iajs-1809	102	2	1	1	NUM
iajs-1809	102	3	𝑒	𝑒	ADP
iajs-1809	102	4	∑	∑	DET
iajs-1809	102	5	𝑛	𝑛	PRON
iajs-1809	102	6	𝑞	𝑞	X
iajs-1809	102	7	0	0	NUM
iajs-1809	102	8	∑	∑	PROPN
iajs-1809	102	9	𝑛	𝑛	PRON
iajs-1809	102	10	𝑞	𝑞	X
iajs-1809	102	11	∑	∑	PUNCT
iajs-1809	102	12	𝑞	𝑞	PROPN
iajs-1809	102	13	𝐿𝑛	𝐿𝑛	PROPN
iajs-1809	102	14	1	1	NUM
iajs-1809	102	15	𝑒	𝑒	ADV
iajs-1809	102	16	then	then	ADV
iajs-1809	102	17	,	,	PUNCT
iajs-1809	102	18	ihsciconf	ihsciconf	NOUN
iajs-1809	102	19	2017	2017	NUM
iajs-1809	102	20	special	special	ADJ
iajs-1809	102	21	issue	issue	NOUN
iajs-1809	102	22	ibn	ibn	PROPN
iajs-1809	102	23	al	al	PROPN
iajs-1809	102	24	-	-	PUNCT
iajs-1809	102	25	haitham	haitham	PROPN
iajs-1809	102	26	journal	journal	PROPN
iajs-1809	102	27	for	for	ADP
iajs-1809	102	28	pure	pure	ADJ
iajs-1809	102	29	and	and	CCONJ
iajs-1809	102	30	applied	apply	VERB
iajs-1809	102	31	science	science	NOUN
iajs-1809	102	32	https://doi.org/	https://doi.org/	NOUN
iajs-1809	102	33	10.30526/2017.ihsciconf.1809	10.30526/2017.ihsciconf.1809	NUM
iajs-1809	102	34	for	for	ADP
iajs-1809	102	35	more	more	ADJ
iajs-1809	102	36	information	information	NOUN
iajs-1809	102	37	about	about	ADP
iajs-1809	102	38	the	the	DET
iajs-1809	102	39	conference	conference	NOUN
iajs-1809	102	40	please	please	INTJ
iajs-1809	102	41	visit	visit	VERB
iajs-1809	102	42	the	the	DET
iajs-1809	102	43	websites	website	NOUN
iajs-1809	102	44	:	:	PUNCT
iajs-1809	102	45	http://www.ihsciconf.org/conf/	http://www.ihsciconf.org/conf/	VERB
iajs-1809	102	46	   	   	SPACE
iajs-1809	102	47	www.ihsciconf.org	www.ihsciconf.org	PROPN
iajs-1809	102	48	   	   	SPACE
iajs-1809	102	49	mathematics|372	mathematics|372	PROPN
iajs-1809	102	50	    	    	SPACE
iajs-1809	102	51	𝛼	𝛼	X
iajs-1809	102	52	∑	∑	PROPN
iajs-1809	102	53	∑	∑	PROPN
iajs-1809	102	54	(	(	PUNCT
iajs-1809	102	55	31	31	NUM
iajs-1809	102	56	)	)	PUNCT
iajs-1809	102	57	and	and	CCONJ
iajs-1809	102	58	by	by	ADP
iajs-1809	102	59	same	same	ADJ
iajs-1809	102	60	way	way	NOUN
iajs-1809	102	61	assume	assume	VERB
iajs-1809	102	62	the	the	DET
iajs-1809	102	63	stress	stress	NOUN
iajs-1809	102	64	y	y	PROPN
iajs-1809	102	65	random	random	ADJ
iajs-1809	102	66	sample	sample	NOUN
iajs-1809	102	67	follows	follow	VERB
iajs-1809	102	68	ewd	ewd	PROPN
iajs-1809	102	69	with	with	ADP
iajs-1809	102	70	two	two	NUM
iajs-1809	102	71	parameters	parameter	NOUN
iajs-1809	102	72	(	(	PUNCT
iajs-1809	102	73	α2and	α2and	NUM
iajs-1809	102	74	θ	θ	NOUN
iajs-1809	102	75	)	)	PUNCT
iajs-1809	102	76	with	with	ADP
iajs-1809	102	77	size	size	NOUN
iajs-1809	102	78	m	m	VERB
iajs-1809	102	79	to	to	PART
iajs-1809	102	80	find	find	VERB
iajs-1809	102	81	α	α	NOUN
iajs-1809	102	82	as	as	ADP
iajs-1809	102	83	below	below	ADV
iajs-1809	102	84	:	:	PUNCT
iajs-1809	102	85	𝛼	𝛼	X
iajs-1809	102	86	∑	∑	PUNCT
iajs-1809	102	87	∑	∑	PROPN
iajs-1809	102	88	(	(	PUNCT
iajs-1809	102	89	32	32	NUM
iajs-1809	102	90	)	)	PUNCT
iajs-1809	102	91	substitution	substitution	NOUN
iajs-1809	102	92	the	the	DET
iajs-1809	102	93	estimation	estimation	NOUN
iajs-1809	102	94	parameter	parameter	NOUN
iajs-1809	102	95	𝛼	𝛼	PROPN
iajs-1809	102	96	(	(	PUNCT
iajs-1809	102	97	i=1,2	i=1,2	ADJ
iajs-1809	102	98	)	)	PUNCT
iajs-1809	102	99	in	in	ADP
iajs-1809	102	100	equation	equation	NOUN
iajs-1809	102	101	(	(	PUNCT
iajs-1809	102	102	5	5	X
iajs-1809	102	103	)	)	PUNCT
iajs-1809	102	104	will	will	AUX
iajs-1809	102	105	be	be	AUX
iajs-1809	102	106	obtain	obtain	VERB
iajs-1809	102	107	the	the	DET
iajs-1809	102	108	reliability	reliability	NOUN
iajs-1809	102	109	estimation	estimation	NOUN
iajs-1809	102	110	of	of	ADP
iajs-1809	102	111	r(s	r(s	PROPN
iajs-1809	102	112	,	,	PUNCT
iajs-1809	102	113	k	k	NOUN
iajs-1809	102	114	)	)	PUNCT
iajs-1809	102	115	based	base	VERB
iajs-1809	102	116	on	on	ADP
iajs-1809	102	117	rss	rss	NOUN
iajs-1809	102	118	as	as	SCONJ
iajs-1809	102	119	follows	follow	VERB
iajs-1809	102	120	:	:	PUNCT
iajs-1809	103	1	𝑹	𝑹	NOUN
iajs-1809	103	2	𝒔,𝒌	𝒔,𝒌	NOUN
iajs-1809	103	3	𝑹𝑺𝑺	𝑹𝑺𝑺	PROPN
iajs-1809	103	4	𝜶𝟐𝑹𝑺𝑺	𝜶𝟐𝑹𝑺𝑺	PROPN
iajs-1809	103	5	𝜶𝟏𝑹𝑺𝑺	𝜶𝟏𝑹𝑺𝑺	PROPN
iajs-1809	103	6	∑	∑	PROPN
iajs-1809	103	7	𝒌	𝒌	PROPN
iajs-1809	103	8	!	!	PUNCT
iajs-1809	104	1	𝒌	𝒌	PRON
iajs-1809	104	2	𝒊	𝒊	X
iajs-1809	104	3	!	!	PUNCT
iajs-1809	104	4	∏	∏	PROPN
iajs-1809	105	1	𝒌	𝒌	PROPN
iajs-1809	105	2	𝜶𝟐𝑹𝑺𝑺	𝜶𝟐𝑹𝑺𝑺	PROPN
iajs-1809	105	3	𝜶𝟏𝑹𝑺𝑺	𝜶𝟏𝑹𝑺𝑺	PROPN
iajs-1809	105	4	𝒋𝒊	𝒋𝒊	ADP
iajs-1809	105	5	𝒋	𝒋	X
iajs-1809	105	6	𝟎	𝟎	NUM
iajs-1809	105	7	𝟏𝒌	𝟏𝒌	X
iajs-1809	105	8	𝒊	𝒊	X
iajs-1809	105	9	𝒔	𝒔	X
iajs-1809	105	10	(	(	PUNCT
iajs-1809	105	11	33	33	NUM
iajs-1809	105	12	)	)	PUNCT
iajs-1809	105	13	simulation	simulation	NOUN
iajs-1809	105	14	study	study	NOUN
iajs-1809	105	15	in	in	ADP
iajs-1809	105	16	this	this	DET
iajs-1809	105	17	section	section	NOUN
iajs-1809	105	18	we	we	PRON
iajs-1809	105	19	numerical	numerical	ADJ
iajs-1809	105	20	results	result	NOUN
iajs-1809	105	21	were	be	AUX
iajs-1809	105	22	studied	study	VERB
iajs-1809	105	23	to	to	PART
iajs-1809	105	24	compare	compare	VERB
iajs-1809	105	25	the	the	DET
iajs-1809	105	26	performance	performance	NOUN
iajs-1809	105	27	of	of	ADP
iajs-1809	105	28	the	the	DET
iajs-1809	105	29	different	different	ADJ
iajs-1809	105	30	estimators	estimator	NOUN
iajs-1809	105	31	of	of	ADP
iajs-1809	105	32	reliability	reliability	NOUN
iajs-1809	105	33	which	which	PRON
iajs-1809	105	34	is	be	AUX
iajs-1809	105	35	obtained	obtain	VERB
iajs-1809	105	36	in	in	ADP
iajs-1809	105	37	section	section	NOUN
iajs-1809	105	38	2	2	NUM
iajs-1809	105	39	,	,	PUNCT
iajs-1809	105	40	using	use	VERB
iajs-1809	105	41	different	different	ADJ
iajs-1809	105	42	sample	sample	NOUN
iajs-1809	105	43	size	size	NOUN
iajs-1809	105	44	=(	=(	NOUN
iajs-1809	105	45	25,50,75	25,50,75	NUM
iajs-1809	105	46	and	and	CCONJ
iajs-1809	105	47	100	100	NUM
iajs-1809	105	48	)	)	PUNCT
iajs-1809	105	49	,	,	PUNCT
iajs-1809	105	50	based	base	VERB
iajs-1809	105	51	on	on	ADP
iajs-1809	105	52	1000	1000	NUM
iajs-1809	105	53	replication	replication	NOUN
iajs-1809	105	54	via	via	ADP
iajs-1809	105	55	mse	mse	NOUN
iajs-1809	105	56	criteria	criterion	NOUN
iajs-1809	105	57	.	.	PUNCT
iajs-1809	106	1	for	for	ADP
iajs-1809	106	2	this	this	DET
iajs-1809	106	3	purpose	purpose	NOUN
iajs-1809	106	4	,	,	PUNCT
iajs-1809	106	5	monte	monte	PROPN
iajs-1809	106	6	carlo	carlo	PROPN
iajs-1809	106	7	simulation	simulation	PROPN
iajs-1809	106	8	was	be	AUX
iajs-1809	106	9	used	use	VERB
iajs-1809	106	10	the	the	DET
iajs-1809	106	11	following	following	ADJ
iajs-1809	106	12	steps:-[14	steps:-[14	PROPN
iajs-1809	106	13	]	]	X
iajs-1809	107	1	step1	step1	PROPN
iajs-1809	107	2	:	:	PUNCT
iajs-1809	107	3	we	we	PRON
iajs-1809	107	4	generate	generate	VERB
iajs-1809	107	5	the	the	DET
iajs-1809	107	6	random	random	ADJ
iajs-1809	107	7	sample	sample	NOUN
iajs-1809	107	8	which	which	PRON
iajs-1809	107	9	follows	follow	VERB
iajs-1809	107	10	the	the	DET
iajs-1809	107	11	continuance	continuance	NOUN
iajs-1809	107	12	uniform	uniform	ADJ
iajs-1809	107	13	distribution	distribution	NOUN
iajs-1809	107	14	defined	define	VERB
iajs-1809	107	15	on	on	ADP
iajs-1809	107	16	the	the	DET
iajs-1809	107	17	interval	interval	NOUN
iajs-1809	107	18	(	(	PUNCT
iajs-1809	107	19	0,1	0,1	NOUN
iajs-1809	107	20	)	)	PUNCT
iajs-1809	107	21	as	as	ADP
iajs-1809	107	22	u1,u2	u1,u2	PROPN
iajs-1809	107	23	,	,	PUNCT
iajs-1809	107	24	…	…	PUNCT
iajs-1809	107	25	,	,	PUNCT
iajs-1809	107	26	un	un	PROPN
iajs-1809	107	27	.	.	PROPN
iajs-1809	108	1	step2	step2	PROPN
iajs-1809	108	2	:	:	PUNCT
iajs-1809	108	3	we	we	PRON
iajs-1809	108	4	generate	generate	VERB
iajs-1809	108	5	the	the	DET
iajs-1809	108	6	random	random	ADJ
iajs-1809	108	7	sample	sample	NOUN
iajs-1809	108	8	which	which	PRON
iajs-1809	108	9	follows	follow	VERB
iajs-1809	108	10	the	the	DET
iajs-1809	108	11	continuance	continuance	NOUN
iajs-1809	108	12	uniform	uniform	ADJ
iajs-1809	108	13	distribution	distribution	NOUN
iajs-1809	108	14	defined	define	VERB
iajs-1809	108	15	on	on	ADP
iajs-1809	108	16	the	the	DET
iajs-1809	108	17	interval	interval	NOUN
iajs-1809	108	18	(	(	PUNCT
iajs-1809	108	19	0	0	NUM
iajs-1809	108	20	,	,	PUNCT
iajs-1809	108	21	1	1	NUM
iajs-1809	108	22	)	)	PUNCT
iajs-1809	108	23	as	as	ADP
iajs-1809	108	24	w1	w1	NOUN
iajs-1809	108	25	,	,	PUNCT
iajs-1809	108	26	w2	w2	NOUN
iajs-1809	108	27	,	,	PUNCT
iajs-1809	108	28	…	…	PUNCT
iajs-1809	108	29	,	,	PUNCT
iajs-1809	108	30	wm	wm	PROPN
iajs-1809	108	31	.	.	PROPN
iajs-1809	108	32	step3	step3	PROPN
iajs-1809	108	33	:	:	PUNCT
iajs-1809	108	34	transform	transform	VERB
iajs-1809	108	35	the	the	DET
iajs-1809	108	36	uniform	uniform	ADJ
iajs-1809	108	37	random	random	ADJ
iajs-1809	108	38	samples	sample	NOUN
iajs-1809	108	39	in	in	ADP
iajs-1809	108	40	step1	step1	PROPN
iajs-1809	108	41	to	to	ADP
iajs-1809	108	42	random	random	ADJ
iajs-1809	108	43	samples	sample	NOUN
iajs-1809	108	44	follows	follow	VERB
iajs-1809	108	45	ewd	ewd	PROPN
iajs-1809	108	46	,	,	PUNCT
iajs-1809	108	47	applying	apply	VERB
iajs-1809	108	48	the	the	DET
iajs-1809	108	49	theorem	theorem	NOUN
iajs-1809	108	50	that	that	PRON
iajs-1809	108	51	using	use	VERB
iajs-1809	108	52	the	the	DET
iajs-1809	108	53	inverse	inverse	NOUN
iajs-1809	108	54	cumulative	cumulative	ADJ
iajs-1809	108	55	probability	probability	NOUN
iajs-1809	108	56	distribution	distribution	NOUN
iajs-1809	108	57	function	function	NOUN
iajs-1809	108	58	(	(	PUNCT
iajs-1809	108	59	cdf	cdf	PROPN
iajs-1809	108	60	)	)	PUNCT
iajs-1809	108	61	as	as	ADP
iajs-1809	108	62	below	below	ADV
iajs-1809	108	63	shown	show	VERB
iajs-1809	108	64	:	:	PUNCT
iajs-1809	108	65	f	f	X
iajs-1809	108	66	x	x	SYM
iajs-1809	108	67	1	1	NUM
iajs-1809	108	68	𝑒	𝑒	PROPN
iajs-1809	108	69	𝑈	𝑈	PROPN
iajs-1809	108	70	1	1	NUM
iajs-1809	108	71	𝑒	𝑒	PROPN
iajs-1809	108	72	𝑥	𝑥	DET
iajs-1809	108	73	ln	ln	ADJ
iajs-1809	108	74	1	1	NUM
iajs-1809	108	75	𝑈	𝑈	PROPN
iajs-1809	108	76	and	and	CCONJ
iajs-1809	108	77	,	,	PUNCT
iajs-1809	108	78	by	by	ADP
iajs-1809	108	79	the	the	DET
iajs-1809	108	80	same	same	ADJ
iajs-1809	108	81	method	method	NOUN
iajs-1809	108	82	,	,	PUNCT
iajs-1809	108	83	we	we	PRON
iajs-1809	108	84	get	get	VERB
iajs-1809	108	85	:	:	PUNCT
iajs-1809	108	86	𝑦	𝑦	NOUN
iajs-1809	108	87	ln	ln	NOUN
iajs-1809	108	88	1	1	NUM
iajs-1809	108	89	𝑊	𝑊	PROPN
iajs-1809	108	90	step4	step4	NOUN
iajs-1809	108	91	:	:	PUNCT
iajs-1809	108	92	we	we	PRON
iajs-1809	108	93	recall	recall	VERB
iajs-1809	108	94	the	the	DET
iajs-1809	108	95	r(s	r(s	PROPN
iajs-1809	108	96	,	,	PUNCT
iajs-1809	108	97	k	k	NOUN
iajs-1809	108	98	)	)	PUNCT
iajs-1809	108	99	from	from	ADP
iajs-1809	108	100	equation	equation	NOUN
iajs-1809	108	101	(	(	PUNCT
iajs-1809	108	102	5	5	NUM
iajs-1809	108	103	)	)	PUNCT
iajs-1809	108	104	.	.	PUNCT
iajs-1809	109	1	ihsciconf	ihsciconf	PROPN
iajs-1809	109	2	2017	2017	NUM
iajs-1809	109	3	special	special	ADJ
iajs-1809	109	4	issue	issue	NOUN
iajs-1809	109	5	ibn	ibn	PROPN
iajs-1809	109	6	al	al	PROPN
iajs-1809	109	7	-	-	PUNCT
iajs-1809	109	8	haitham	haitham	PROPN
iajs-1809	109	9	journal	journal	PROPN
iajs-1809	109	10	for	for	ADP
iajs-1809	109	11	pure	pure	ADJ
iajs-1809	109	12	and	and	CCONJ
iajs-1809	109	13	applied	apply	VERB
iajs-1809	109	14	science	science	NOUN
iajs-1809	109	15	https://doi.org/	https://doi.org/	NOUN
iajs-1809	109	16	10.30526/2017.ihsciconf.1809	10.30526/2017.ihsciconf.1809	NUM
iajs-1809	109	17	for	for	ADP
iajs-1809	109	18	more	more	ADJ
iajs-1809	109	19	information	information	NOUN
iajs-1809	109	20	about	about	ADP
iajs-1809	109	21	the	the	DET
iajs-1809	109	22	conference	conference	NOUN
iajs-1809	109	23	please	please	INTJ
iajs-1809	109	24	visit	visit	VERB
iajs-1809	109	25	the	the	DET
iajs-1809	109	26	websites	website	NOUN
iajs-1809	109	27	:	:	PUNCT
iajs-1809	109	28	http://www.ihsciconf.org/conf/	http://www.ihsciconf.org/conf/	AUX
iajs-1809	109	29	   	   	SPACE
iajs-1809	109	30	www.ihsciconf.org	www.ihsciconf.org	NOUN
iajs-1809	109	31	   	   	SPACE
iajs-1809	109	32	mathematics|373	mathematics|373	VERB
iajs-1809	109	33	    	    	SPACE
iajs-1809	109	34	step5	step5	PROPN
iajs-1809	109	35	:	:	PUNCT
iajs-1809	109	36	we	we	PRON
iajs-1809	109	37	compute	compute	VERB
iajs-1809	109	38	the	the	DET
iajs-1809	109	39	maximum	maximum	ADJ
iajs-1809	109	40	likelihood	likelihood	NOUN
iajs-1809	109	41	estimator	estimator	NOUN
iajs-1809	109	42	of	of	ADP
iajs-1809	109	43	the	the	DET
iajs-1809	109	44	r(s	r(s	PROPN
iajs-1809	109	45	,	,	PUNCT
iajs-1809	109	46	k	k	NOUN
iajs-1809	109	47	)	)	PUNCT
iajs-1809	109	48	using	use	VERB
iajs-1809	109	49	equation	equation	NOUN
iajs-1809	109	50	(	(	PUNCT
iajs-1809	109	51	8)	8)	NUM
iajs-1809	109	52	.	.	PUNCT
iajs-1809	110	1	step6	step6	NOUN
iajs-1809	110	2	:	:	PUNCT
iajs-1809	110	3	we	we	PRON
iajs-1809	110	4	compute	compute	VERB
iajs-1809	110	5	the	the	DET
iajs-1809	110	6	moment	moment	NOUN
iajs-1809	110	7	method	method	NOUN
iajs-1809	110	8	of	of	ADP
iajs-1809	110	9	r(s	r(s	PROPN
iajs-1809	110	10	,	,	PUNCT
iajs-1809	110	11	k	k	NOUN
iajs-1809	110	12	)	)	PUNCT
iajs-1809	110	13	using	use	VERB
iajs-1809	110	14	equation	equation	NOUN
iajs-1809	110	15	(	(	PUNCT
iajs-1809	110	16	13	13	NUM
iajs-1809	110	17	)	)	PUNCT
iajs-1809	110	18	.	.	PUNCT
iajs-1809	111	1	step7	step7	PROPN
iajs-1809	111	2	:	:	PUNCT
iajs-1809	111	3	we	we	PRON
iajs-1809	111	4	compute	compute	VERB
iajs-1809	111	5	the	the	DET
iajs-1809	111	6	modified	modify	VERB
iajs-1809	111	7	thompson	thompson	NOUN
iajs-1809	111	8	types	type	NOUN
iajs-1809	111	9	shrinkage	shrinkage	VERB
iajs-1809	111	10	estimator	estimator	NOUN
iajs-1809	111	11	of	of	ADP
iajs-1809	111	12	r(s	r(s	PROPN
iajs-1809	111	13	,	,	PUNCT
iajs-1809	111	14	k	k	NOUN
iajs-1809	111	15	)	)	PUNCT
iajs-1809	111	16	using	use	VERB
iajs-1809	111	17	equation	equation	NOUN
iajs-1809	111	18	(	(	PUNCT
iajs-1809	111	19	18	18	NUM
iajs-1809	111	20	)	)	PUNCT
iajs-1809	111	21	.	.	PUNCT
iajs-1809	112	1	step8	step8	ADJ
iajs-1809	112	2	:	:	PUNCT
iajs-1809	112	3	we	we	PRON
iajs-1809	112	4	compute	compute	VERB
iajs-1809	112	5	the	the	DET
iajs-1809	112	6	least	least	ADJ
iajs-1809	112	7	squares	square	NOUN
iajs-1809	112	8	method	method	NOUN
iajs-1809	112	9	of	of	ADP
iajs-1809	112	10	r(s	r(s	PROPN
iajs-1809	112	11	,	,	PUNCT
iajs-1809	112	12	k	k	NOUN
iajs-1809	112	13	)	)	PUNCT
iajs-1809	112	14	using	use	VERB
iajs-1809	112	15	equation	equation	NOUN
iajs-1809	112	16	(	(	PUNCT
iajs-1809	112	17	26	26	NUM
iajs-1809	112	18	)	)	PUNCT
iajs-1809	112	19	.	.	PUNCT
iajs-1809	113	1	step9	step9	NOUN
iajs-1809	113	2	:	:	PUNCT
iajs-1809	113	3	we	we	PRON
iajs-1809	113	4	compute	compute	VERB
iajs-1809	113	5	the	the	DET
iajs-1809	113	6	ranked	rank	VERB
iajs-1809	113	7	set	set	VERB
iajs-1809	113	8	sampling	sampling	NOUN
iajs-1809	113	9	of	of	ADP
iajs-1809	113	10	r(s	r(s	PROPN
iajs-1809	113	11	,	,	PUNCT
iajs-1809	113	12	k	k	NOUN
iajs-1809	113	13	)	)	PUNCT
iajs-1809	113	14	using	use	VERB
iajs-1809	113	15	equation	equation	NOUN
iajs-1809	113	16	(	(	PUNCT
iajs-1809	113	17	33	33	NUM
iajs-1809	113	18	)	)	PUNCT
iajs-1809	113	19	.	.	PUNCT
iajs-1809	114	1	step10	step10	PROPN
iajs-1809	114	2	:	:	PUNCT
iajs-1809	114	3	based	base	VERB
iajs-1809	114	4	on	on	ADP
iajs-1809	114	5	(	(	PUNCT
iajs-1809	114	6	l=1000	l=1000	NOUN
iajs-1809	114	7	)	)	PUNCT
iajs-1809	114	8	replication	replication	NOUN
iajs-1809	114	9	,	,	PUNCT
iajs-1809	114	10	we	we	PRON
iajs-1809	114	11	calculate	calculate	VERB
iajs-1809	114	12	the	the	DET
iajs-1809	114	13	mse	mse	NOUN
iajs-1809	114	14	as	as	SCONJ
iajs-1809	114	15	follows	follow	VERB
iajs-1809	114	16	:	:	PUNCT
iajs-1809	114	17	𝐌𝐒𝐄	𝐌𝐒𝐄	NOUN
iajs-1809	114	18	𝟏	𝟏	NUM
iajs-1809	114	19	𝑳	𝑳	NOUN
iajs-1809	115	1	∑	∑	PUNCT
iajs-1809	115	2	𝑹	𝑹	NOUN
iajs-1809	115	3	𝒔,𝒌	𝒔,𝒌	NOUN
iajs-1809	115	4	𝒊	𝒊	X
iajs-1809	115	5	𝐑	𝐑	NOUN
iajs-1809	115	6	𝐬,𝐤	𝐬,𝐤	PROPN
iajs-1809	115	7	𝟐𝑳	𝟐𝑳	NOUN
iajs-1809	115	8	𝒊	𝒊	X
iajs-1809	115	9	𝟏	𝟏	NUM
iajs-1809	115	10	where	where	SCONJ
iajs-1809	115	11	𝑅	𝑅	PROPN
iajs-1809	115	12	,	,	PUNCT
iajs-1809	115	13	refers	refer	VERB
iajs-1809	115	14	the	the	DET
iajs-1809	115	15	proposed	propose	VERB
iajs-1809	115	16	estimators	estimator	NOUN
iajs-1809	115	17	of	of	ADP
iajs-1809	115	18	real	real	ADJ
iajs-1809	115	19	value	value	NOUN
iajs-1809	115	20	of	of	ADP
iajs-1809	115	21	reliability	reliability	NOUN
iajs-1809	115	22	r	r	NOUN
iajs-1809	115	23	,	,	PUNCT
iajs-1809	115	24	.	.	PUNCT
iajs-1809	116	1	note	note	VERB
iajs-1809	116	2	that	that	SCONJ
iajs-1809	116	3	in	in	ADP
iajs-1809	116	4	this	this	DET
iajs-1809	116	5	paper	paper	NOUN
iajs-1809	116	6	,	,	PUNCT
iajs-1809	116	7	we	we	PRON
iajs-1809	116	8	consider	consider	VERB
iajs-1809	116	9	(	(	PUNCT
iajs-1809	116	10	s	s	NOUN
iajs-1809	116	11	,	,	PUNCT
iajs-1809	116	12	k)=(2,3	k)=(2,3	ADJ
iajs-1809	116	13	)	)	PUNCT
iajs-1809	116	14	,	,	PUNCT
iajs-1809	116	15	(	(	PUNCT
iajs-1809	116	16	2,4	2,4	NUM
iajs-1809	116	17	)	)	PUNCT
iajs-1809	116	18	and	and	CCONJ
iajs-1809	116	19	(	(	PUNCT
iajs-1809	116	20	3,4	3,4	NUM
iajs-1809	116	21	)	)	PUNCT
iajs-1809	116	22	,	,	PUNCT
iajs-1809	116	23	and	and	CCONJ
iajs-1809	116	24	all	all	DET
iajs-1809	116	25	the	the	DET
iajs-1809	116	26	results	result	NOUN
iajs-1809	116	27	are	be	AUX
iajs-1809	116	28	put	put	VERB
iajs-1809	116	29	it	it	PRON
iajs-1809	116	30	in	in	ADP
iajs-1809	116	31	the	the	DET
iajs-1809	116	32	tables	table	NOUN
iajs-1809	116	33	(	(	PUNCT
iajs-1809	116	34	1	1	NUM
iajs-1809	116	35	-	-	SYM
iajs-1809	116	36	3	3	NUM
iajs-1809	116	37	)	)	PUNCT
iajs-1809	116	38	below	below	ADV
iajs-1809	116	39	:	:	PUNCT
iajs-1809	116	40	table	table	NOUN
iajs-1809	116	41	(	(	PUNCT
iajs-1809	116	42	1	1	NUM
iajs-1809	116	43	):	):	PUNCT
iajs-1809	116	44	shown	show	VERB
iajs-1809	116	45	estimation	estimation	NOUN
iajs-1809	116	46	value	value	NOUN
iajs-1809	116	47	of	of	ADP
iajs-1809	116	48	r(s	r(s	PROPN
iajs-1809	116	49	,	,	PUNCT
iajs-1809	116	50	k	k	NOUN
iajs-1809	116	51	)	)	PUNCT
iajs-1809	116	52	,	,	PUNCT
iajs-1809	116	53	and	and	CCONJ
iajs-1809	116	54	mse	mse	VERB
iajs-1809	116	55	when	when	SCONJ
iajs-1809	116	56	(	(	PUNCT
iajs-1809	116	57	s	s	X
iajs-1809	116	58	,	,	PUNCT
iajs-1809	116	59	k)=(2,3	k)=(2,3	ADJ
iajs-1809	116	60	)	)	PUNCT
iajs-1809	116	61	,	,	PUNCT
iajs-1809	116	62	and	and	CCONJ
iajs-1809	116	63	α1=2	α1=2	PROPN
iajs-1809	116	64	,	,	PUNCT
iajs-1809	116	65	α2=5	α2=5	PROPN
iajs-1809	116	66	,	,	PUNCT
iajs-1809	116	67	𝜽=3	𝜽=3	PROPN
iajs-1809	116	68	;	;	PUNCT
iajs-1809	116	69	r(s	r(s	NUM
iajs-1809	116	70	,	,	PUNCT
iajs-1809	116	71	k)=	k)=	VERB
iajs-1809	116	72	 	 	SPACE
iajs-1809	116	73	0.24242	0.24242	NUM
iajs-1809	117	1	𝑹	𝑹	NOUN
iajs-1809	117	2	𝒔,𝒌	𝒔,𝒌	NOUN
iajs-1809	117	3	mse	mse	PROPN
iajs-1809	117	4	(	(	PUNCT
iajs-1809	117	5	n	n	CCONJ
iajs-1809	117	6	,	,	PUNCT
iajs-1809	117	7	m	m	NOUN
iajs-1809	117	8	)	)	PUNCT
iajs-1809	117	9	𝑹	𝑹	NOUN
iajs-1809	117	10	𝒔,𝒌	𝒔,𝒌	INTJ
iajs-1809	117	11	𝑴𝑳𝑬	𝑴𝑳𝑬	NOUN
iajs-1809	117	12	𝑹	𝑹	NOUN
iajs-1809	117	13	𝒔,𝒌	𝒔,𝒌	INTJ
iajs-1809	118	1	𝑻𝒉	𝑻𝒉	ADJ
iajs-1809	118	2	𝑹	𝑹	NOUN
iajs-1809	118	3	𝒔,𝒌	𝒔,𝒌	INTJ
iajs-1809	118	4	𝑳𝑺	𝑳𝑺	PROPN
iajs-1809	118	5	𝑹	𝑹	NOUN
iajs-1809	118	6	𝒔,𝒌	𝒔,𝒌	NOUN
iajs-1809	118	7	𝑹𝑺𝑺	𝑹𝑺𝑺	PROPN
iajs-1809	118	8	𝑹	𝑹	PROPN
iajs-1809	118	9	𝒔,𝒌	𝒔,𝒌	VERB
iajs-1809	119	1	𝑴𝑳𝑬	𝑴𝑳𝑬	NOUN
iajs-1809	119	2	𝑹	𝑹	NOUN
iajs-1809	119	3	𝒔,𝒌	𝒔,𝒌	INTJ
iajs-1809	120	1	𝑻𝒉	𝑻𝒉	ADJ
iajs-1809	120	2	𝑹	𝑹	NOUN
iajs-1809	120	3	𝒔,𝒌	𝒔,𝒌	INTJ
iajs-1809	120	4	𝑳𝑺	𝑳𝑺	PROPN
iajs-1809	120	5	𝑹	𝑹	NOUN
iajs-1809	120	6	𝒔,𝒌	𝒔,𝒌	ADP
iajs-1809	120	7	𝑹𝑺𝑺	𝑹𝑺𝑺	PROPN
iajs-1809	120	8	best	well	ADV
iajs-1809	120	9	(	(	PUNCT
iajs-1809	120	10	25,25	25,25	ADJ
iajs-1809	120	11	)	)	PUNCT
iajs-1809	120	12	0.24791	0.24791	NUM
iajs-1809	121	1	0.24283	0.24283	NUM
iajs-1809	121	2	0.49692	0.49692	NUM
iajs-1809	121	3	0.23294	0.23294	NUM
iajs-1809	121	4	0.00488	0.00488	NUM
iajs-1809	121	5	0.00024	0.00024	NUM
iajs-1809	121	6	0.08271	0.08271	NUM
iajs-1809	121	7	0.00029	0.00029	NUM
iajs-1809	121	8	th	th	X
iajs-1809	121	9	(	(	PUNCT
iajs-1809	121	10	25,50	25,50	NUM
iajs-1809	121	11	)	)	PUNCT
iajs-1809	121	12	0.43344	0.43344	NUM
iajs-1809	122	1	0.24312	0.24312	NUM
iajs-1809	122	2	0.17813	0.17813	NUM
iajs-1809	122	3	0.43157	0.43157	NUM
iajs-1809	122	4	0.04141	0.04141	NUM
iajs-1809	122	5	0.00019	0.00019	NUM
iajs-1809	122	6	0.01516	0.01516	NUM
iajs-1809	122	7	0.03600	0.03600	NUM
iajs-1809	122	8	th	th	X
iajs-1809	122	9	(	(	PUNCT
iajs-1809	122	10	25,75	25,75	NUM
iajs-1809	122	11	)	)	PUNCT
iajs-1809	122	12	0.55136	0.55136	NUM
iajs-1809	122	13	0.24343	0.24343	NUM
iajs-1809	122	14	0.01305	0.01305	NUM
iajs-1809	122	15	0.55219	0.55219	NUM
iajs-1809	122	16	0.09928	0.09928	NUM
iajs-1809	122	17	0.00018	0.00018	NUM
iajs-1809	122	18	0.05345	0.05345	NUM
iajs-1809	122	19	0.09613	0.09613	NUM
iajs-1809	122	20	th	th	NOUN
iajs-1809	122	21	(	(	PUNCT
iajs-1809	122	22	25,100	25,100	NUM
iajs-1809	122	23	)	)	PUNCT
iajs-1809	123	1	0.62907	0.62907	NUM
iajs-1809	123	2	0.24342	0.24342	NUM
iajs-1809	123	3	0.03564	0.03564	NUM
iajs-1809	123	4	0.63177	0.63177	NUM
iajs-1809	123	5	0.15264	0.15264	NUM
iajs-1809	123	6	0.00018	0.00018	NUM
iajs-1809	123	7	0.04533	0.04533	NUM
iajs-1809	123	8	0.15174	0.15174	NUM
iajs-1809	123	9	th	th	X
iajs-1809	123	10	(	(	PUNCT
iajs-1809	123	11	50,25	50,25	NUM
iajs-1809	123	12	)	)	PUNCT
iajs-1809	124	1	0.10944	0.10944	NUM
iajs-1809	125	1	0.24014	0.24014	NUM
iajs-1809	125	2	0.58209	0.58209	NUM
iajs-1809	125	3	0.09797	0.09797	NUM
iajs-1809	125	4	0.01892	0.01892	NUM
iajs-1809	125	5	0.00016	0.00016	NUM
iajs-1809	125	6	0.12174	0.12174	NUM
iajs-1809	125	7	0.02090	0.02090	NUM
iajs-1809	125	8	th	th	X
iajs-1809	125	9	(	(	PUNCT
iajs-1809	125	10	50,50	50,50	NUM
iajs-1809	125	11	)	)	PUNCT
iajs-1809	125	12	0.24405	0.24405	NUM
iajs-1809	125	13	0.24254	0.24254	NUM
iajs-1809	125	14	0.13274	0.13274	NUM
iajs-1809	125	15	0.23333	0.23333	NUM
iajs-1809	125	16	0.00253	0.00253	NUM
iajs-1809	125	17	0.00012	0.00012	NUM
iajs-1809	125	18	0.01865	0.01865	NUM
iajs-1809	125	19	0.00018	0.00018	NUM
iajs-1809	125	20	th	th	X
iajs-1809	125	21	(	(	PUNCT
iajs-1809	125	22	50,75	50,75	NOUN
iajs-1809	125	23	)	)	PUNCT
iajs-1809	125	24	0.35270	0.35270	NUM
iajs-1809	125	25	0.24296	0.24296	NUM
iajs-1809	125	26	0.14738	0.14738	NUM
iajs-1809	125	27	0.34225	0.34225	NUM
iajs-1809	125	28	0.01472	0.01472	NUM
iajs-1809	125	29	0.00010	0.00010	NUM
iajs-1809	125	30	0.01531	0.01531	NUM
iajs-1809	125	31	0.01007	0.01007	NUM
iajs-1809	125	32	th	th	NOUN
iajs-1809	125	33	(	(	PUNCT
iajs-1809	125	34	50,100	50,100	NUM
iajs-1809	125	35	)	)	PUNCT
iajs-1809	125	36	0.43686	0.43686	NUM
iajs-1809	125	37	0.24371	0.24371	NUM
iajs-1809	125	38	0.08694	0.08694	NUM
iajs-1809	125	39	0.42684	0.42684	NUM
iajs-1809	125	40	0.04038	0.04038	NUM
iajs-1809	126	1	0.00010	0.00010	NUM
iajs-1809	126	2	0.02523	0.02523	NUM
iajs-1809	126	3	0.03411	0.03411	NUM
iajs-1809	126	4	th	th	X
iajs-1809	126	5	(	(	PUNCT
iajs-1809	126	6	75,25	75,25	NUM
iajs-1809	126	7	)	)	PUNCT
iajs-1809	126	8	0.06155	0.06155	NUM
iajs-1809	127	1	0.23740	0.23740	NUM
iajs-1809	127	2	0.38130	0.38130	NUM
iajs-1809	127	3	0.05372	0.05372	NUM
iajs-1809	127	4	0.03315	0.03315	NUM
iajs-1809	127	5	0.00016	0.00016	NUM
iajs-1809	127	6	0.02095	0.02095	NUM
iajs-1809	127	7	0.03561	0.03561	NUM
iajs-1809	127	8	th	th	X
iajs-1809	127	9	(	(	PUNCT
iajs-1809	127	10	75,50	75,50	NUM
iajs-1809	127	11	)	)	PUNCT
iajs-1809	127	12	0.15610	0.15610	NUM
iajs-1809	128	1	0.24118	0.24118	NUM
iajs-1809	128	2	0.36197	0.36197	NUM
iajs-1809	128	3	0.14613	0.14613	NUM
iajs-1809	128	4	0.00864	0.00864	NUM
iajs-1809	128	5	0.00009	0.00009	NUM
iajs-1809	128	6	0.02494	0.02494	NUM
iajs-1809	128	7	0.00931	0.00931	NUM
iajs-1809	128	8	th	th	NOUN
iajs-1809	128	9	(	(	PUNCT
iajs-1809	128	10	75,75	75,75	NOUN
iajs-1809	128	11	)	)	PUNCT
iajs-1809	128	12	0.24192	0.24192	NUM
iajs-1809	128	13	0.24214	0.24214	NUM
iajs-1809	128	14	0.15093	0.15093	NUM
iajs-1809	128	15	0.23350	0.23350	NUM
iajs-1809	128	16	0.00155	0.00155	NUM
iajs-1809	128	17	0.00007	0.00007	NUM
iajs-1809	128	18	0.00976	0.00976	NUM
iajs-1809	128	19	0.00013	0.00013	NUM
iajs-1809	128	20	th	th	X
iajs-1809	128	21	(	(	PUNCT
iajs-1809	128	22	75,100	75,100	NUM
iajs-1809	128	23	)	)	PUNCT
iajs-1809	128	24	0.31836	0.31836	NUM
iajs-1809	128	25	0.24290	0.24290	NUM
iajs-1809	128	26	0.11883	0.11883	NUM
iajs-1809	128	27	0.30854	0.30854	NUM
iajs-1809	128	28	0.00755	0.00755	NUM
iajs-1809	128	29	0.00007	0.00007	NUM
iajs-1809	128	30	0.01784	0.01784	NUM
iajs-1809	128	31	0.00444	0.00444	NUM
iajs-1809	128	32	th	th	X
iajs-1809	128	33	(	(	PUNCT
iajs-1809	128	34	100,25	100,25	NUM
iajs-1809	128	35	)	)	PUNCT
iajs-1809	128	36	0.03960	0.03960	NUM
iajs-1809	129	1	0.23560	0.23560	NUM
iajs-1809	129	2	0.72816	0.72816	NUM
iajs-1809	129	3	0.03387	0.03387	NUM
iajs-1809	129	4	0.04134	0.04134	NUM
iajs-1809	129	5	0.00019	0.00019	NUM
iajs-1809	130	1	0.24874	0.24874	NUM
iajs-1809	130	2	0.04349	0.04349	NUM
iajs-1809	130	3	th	th	X
iajs-1809	130	4	(	(	PUNCT
iajs-1809	130	5	100,50	100,50	NUM
iajs-1809	130	6	)	)	PUNCT
iajs-1809	130	7	0.11040	0.11040	NUM
iajs-1809	130	8	0.24081	0.24081	NUM
iajs-1809	130	9	0.57515	0.57515	NUM
iajs-1809	130	10	0.09964	0.09964	NUM
iajs-1809	130	11	0.01807	0.01807	NUM
iajs-1809	130	12	0.00008	0.00008	NUM
iajs-1809	130	13	0.11484	0.11484	NUM
iajs-1809	130	14	0.02040	0.02040	NUM
iajs-1809	130	15	th	th	X
iajs-1809	130	16	(	(	PUNCT
iajs-1809	130	17	100,75	100,75	NOUN
iajs-1809	130	18	)	)	PUNCT
iajs-1809	130	19	0.17674	0.17674	NUM
iajs-1809	130	20	0.24118	0.24118	NUM
iajs-1809	130	21	0.17903	0.17903	NUM
iajs-1809	130	22	0.16956	0.16956	NUM
iajs-1809	131	1	0.00535	0.00535	NUM
iajs-1809	131	2	0.00007	0.00007	NUM
iajs-1809	131	3	0.00824	0.00824	NUM
iajs-1809	131	4	0.00534	0.00534	NUM
iajs-1809	131	5	th	th	NOUN
iajs-1809	131	6	(	(	PUNCT
iajs-1809	131	7	100,100	100,100	NUM
iajs-1809	131	8	)	)	PUNCT
iajs-1809	131	9	0.24444	0.24444	NUM
iajs-1809	131	10	0.24270	0.24270	NUM
iajs-1809	132	1	0.12698	0.12698	NUM
iajs-1809	132	2	0.23309	0.23309	NUM
iajs-1809	132	3	0.00119	0.00119	NUM
iajs-1809	133	1	0.00005	0.00005	NUM
iajs-1809	133	2	0.01604	0.01604	NUM
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iajs-1809	133	4	th	th	PART
iajs-1809	133	5	ihsciconf	ihsciconf	PROPN
iajs-1809	133	6	2017	2017	NUM
iajs-1809	133	7	special	special	ADJ
iajs-1809	133	8	issue	issue	NOUN
iajs-1809	133	9	ibn	ibn	PROPN
iajs-1809	133	10	al	al	PROPN
iajs-1809	133	11	-	-	PUNCT
iajs-1809	133	12	haitham	haitham	PROPN
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iajs-1809	133	15	pure	pure	ADJ
iajs-1809	133	16	and	and	CCONJ
iajs-1809	133	17	applied	apply	VERB
iajs-1809	133	18	science	science	NOUN
iajs-1809	133	19	https://doi.org/	https://doi.org/	NOUN
iajs-1809	133	20	10.30526/2017.ihsciconf.1809	10.30526/2017.ihsciconf.1809	NUM
iajs-1809	133	21	for	for	ADP
iajs-1809	133	22	more	more	ADJ
iajs-1809	133	23	information	information	NOUN
iajs-1809	133	24	about	about	ADP
iajs-1809	133	25	the	the	DET
iajs-1809	133	26	conference	conference	NOUN
iajs-1809	133	27	please	please	INTJ
iajs-1809	133	28	visit	visit	VERB
iajs-1809	133	29	the	the	DET
iajs-1809	133	30	websites	website	NOUN
iajs-1809	133	31	:	:	PUNCT
iajs-1809	133	32	http://www.ihsciconf.org/conf/	http://www.ihsciconf.org/conf/	VERB
iajs-1809	133	33	   	   	SPACE
iajs-1809	133	34	www.ihsciconf.org	www.ihsciconf.org	ADJ
iajs-1809	133	35	   	   	SPACE
iajs-1809	133	36	mathematics|374	mathematics|374	PROPN
iajs-1809	133	37	    	    	SPACE
iajs-1809	133	38	table	table	NOUN
iajs-1809	133	39	(	(	PUNCT
iajs-1809	133	40	2	2	NUM
iajs-1809	133	41	):	):	PUNCT
iajs-1809	133	42	shown	show	VERB
iajs-1809	133	43	estimation	estimation	NOUN
iajs-1809	133	44	value	value	NOUN
iajs-1809	133	45	of	of	ADP
iajs-1809	133	46	r(s	r(s	PROPN
iajs-1809	133	47	,	,	PUNCT
iajs-1809	133	48	k	k	NOUN
iajs-1809	133	49	)	)	PUNCT
iajs-1809	133	50	,	,	PUNCT
iajs-1809	133	51	and	and	CCONJ
iajs-1809	133	52	mse	mse	VERB
iajs-1809	133	53	when	when	SCONJ
iajs-1809	133	54	(	(	PUNCT
iajs-1809	133	55	s	s	X
iajs-1809	133	56	,	,	PUNCT
iajs-1809	133	57	k)=(2,4	k)=(2,4	PROPN
iajs-1809	133	58	)	)	PUNCT
iajs-1809	133	59	,	,	PUNCT
iajs-1809	133	60	and	and	CCONJ
iajs-1809	133	61	α1=2	α1=2	PROPN
iajs-1809	133	62	,	,	PUNCT
iajs-1809	133	63	α2=5	α2=5	PROPN
iajs-1809	133	64	,	,	PUNCT
iajs-1809	133	65	𝜽=3	𝜽=3	PROPN
iajs-1809	133	66	;	;	PUNCT
iajs-1809	133	67	r(s	r(s	NUM
iajs-1809	133	68	,	,	PUNCT
iajs-1809	133	69	k)=	k)=	VERB
iajs-1809	133	70	 	 	SPACE
iajs-1809	133	71	0.33566	0.33566	NUM
iajs-1809	133	72	𝑹	𝑹	NOUN
iajs-1809	133	73	𝒔,𝒌	𝒔,𝒌	NOUN
iajs-1809	133	74	mse	mse	PROPN
iajs-1809	133	75	(	(	PUNCT
iajs-1809	133	76	n	n	CCONJ
iajs-1809	133	77	,	,	PUNCT
iajs-1809	133	78	m	m	NOUN
iajs-1809	133	79	)	)	PUNCT
iajs-1809	133	80	𝑹	𝑹	NOUN
iajs-1809	133	81	𝒔,𝒌	𝒔,𝒌	INTJ
iajs-1809	133	82	𝑴𝑳𝑬	𝑴𝑳𝑬	NOUN
iajs-1809	133	83	𝑹	𝑹	NOUN
iajs-1809	133	84	𝒔,𝒌	𝒔,𝒌	INTJ
iajs-1809	134	1	𝑻𝒉	𝑻𝒉	ADJ
iajs-1809	134	2	𝑹	𝑹	NOUN
iajs-1809	134	3	𝒔,𝒌	𝒔,𝒌	INTJ
iajs-1809	134	4	𝑳𝑺	𝑳𝑺	PROPN
iajs-1809	134	5	𝑹	𝑹	NOUN
iajs-1809	134	6	𝒔,𝒌	𝒔,𝒌	NOUN
iajs-1809	134	7	𝑹𝑺𝑺	𝑹𝑺𝑺	PROPN
iajs-1809	134	8	𝑹	𝑹	PROPN
iajs-1809	134	9	𝒔,𝒌	𝒔,𝒌	VERB
iajs-1809	135	1	𝑴𝑳𝑬	𝑴𝑳𝑬	NOUN
iajs-1809	135	2	𝑹	𝑹	NOUN
iajs-1809	135	3	𝒔,𝒌	𝒔,𝒌	INTJ
iajs-1809	136	1	𝑻𝒉	𝑻𝒉	ADJ
iajs-1809	136	2	𝑹	𝑹	NOUN
iajs-1809	136	3	𝒔,𝒌	𝒔,𝒌	INTJ
iajs-1809	136	4	𝑳𝑺	𝑳𝑺	PROPN
iajs-1809	136	5	𝑹	𝑹	NOUN
iajs-1809	136	6	𝒔,𝒌	𝒔,𝒌	ADP
iajs-1809	136	7	𝑹𝑺𝑺	𝑹𝑺𝑺	PROPN
iajs-1809	136	8	best	well	ADV
iajs-1809	136	9	(	(	PUNCT
iajs-1809	136	10	25,25	25,25	ADJ
iajs-1809	136	11	)	)	PUNCT
iajs-1809	136	12	0.33902	0.33902	NUM
iajs-1809	136	13	0.33616	0.33616	NUM
iajs-1809	137	1	0.40165	0.40165	NUM
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iajs-1809	137	3	0.00612	0.00612	NUM
iajs-1809	137	4	0.00030	0.00030	NUM
iajs-1809	137	5	0.01323	0.01323	NUM
iajs-1809	137	6	0.00039	0.00039	NUM
iajs-1809	137	7	th	th	NOUN
iajs-1809	137	8	  	  	SPACE
iajs-1809	137	9	(	(	PUNCT
iajs-1809	137	10	25,50	25,50	NUM
iajs-1809	137	11	)	)	PUNCT
iajs-1809	137	12	0.53639	0.53639	NUM
iajs-1809	137	13	0.33595	0.33595	NUM
iajs-1809	137	14	0.14739	0.14739	NUM
iajs-1809	137	15	0.53480	0.53480	NUM
iajs-1809	137	16	0.04521	0.04521	NUM
iajs-1809	137	17	0.00027	0.00027	NUM
iajs-1809	137	18	0.03988	0.03988	NUM
iajs-1809	137	19	0.03988	0.03988	NUM
iajs-1809	137	20	th	th	NOUN
iajs-1809	137	21	  	  	SPACE
iajs-1809	137	22	(	(	PUNCT
iajs-1809	137	23	25,75	25,75	NUM
iajs-1809	137	24	)	)	PUNCT
iajs-1809	137	25	0.65045	0.65045	NUM
iajs-1809	137	26	0.33767	0.33767	NUM
iajs-1809	137	27	0.07510	0.07510	NUM
iajs-1809	137	28	0.64660	0.64660	NUM
iajs-1809	137	29	0.10217	0.10217	NUM
iajs-1809	137	30	0.00023	0.00023	NUM
iajs-1809	137	31	0.06972	0.06972	NUM
iajs-1809	137	32	0.09682	0.09682	NUM
iajs-1809	137	33	th	th	X
iajs-1809	137	34	(	(	PUNCT
iajs-1809	137	35	25,100	25,100	NUM
iajs-1809	137	36	)	)	PUNCT
iajs-1809	137	37	0.71426	0.71426	NUM
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iajs-1809	137	39	0.02873	0.02873	NUM
iajs-1809	137	40	0.71654	0.71654	NUM
iajs-1809	137	41	0.14586	0.14586	NUM
iajs-1809	137	42	0.00025	0.00025	NUM
iajs-1809	137	43	0.09450	0.09450	NUM
iajs-1809	137	44	0.14518	0.14518	NUM
iajs-1809	137	45	th	th	X
iajs-1809	137	46	(	(	PUNCT
iajs-1809	137	47	50,25	50,25	NUM
iajs-1809	137	48	)	)	PUNCT
iajs-1809	137	49	0.16928	0.16928	NUM
iajs-1809	138	1	0.33330	0.33330	NUM
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iajs-1809	138	3	0.15389	0.15389	NUM
iajs-1809	138	4	0.02996	0.02996	NUM
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iajs-1809	138	6	0.03347	0.03347	NUM
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iajs-1809	138	8	th	th	NOUN
iajs-1809	138	9	  	  	SPACE
iajs-1809	138	10	(	(	PUNCT
iajs-1809	138	11	50,50	50,50	NUM
iajs-1809	138	12	)	)	PUNCT
iajs-1809	138	13	0.33761	0.33761	NUM
iajs-1809	139	1	0.33591	0.33591	NUM
iajs-1809	139	2	0.34261	0.34261	NUM
iajs-1809	139	3	0.32479	0.32479	NUM
iajs-1809	139	4	0.00293	0.00293	NUM
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iajs-1809	139	6	0.01547	0.01547	NUM
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iajs-1809	139	8	th	th	X
iajs-1809	139	9	(	(	PUNCT
iajs-1809	139	10	50,75	50,75	NOUN
iajs-1809	139	11	)	)	PUNCT
iajs-1809	139	12	0.45225	0.45225	NUM
iajs-1809	139	13	0.33613	0.33613	NUM
iajs-1809	139	14	0.19639	0.19639	NUM
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iajs-1809	139	20	th	th	NOUN
iajs-1809	139	21	  	  	SPACE
iajs-1809	139	22	(	(	PUNCT
iajs-1809	139	23	50,100	50,100	NUM
iajs-1809	139	24	)	)	PUNCT
iajs-1809	139	25	0.53925	0.53925	NUM
iajs-1809	139	26	0.33703	0.33703	NUM
iajs-1809	139	27	0.16807	0.16807	NUM
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iajs-1809	139	31	0.03956	0.03956	NUM
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iajs-1809	139	33	th	th	NOUN
iajs-1809	139	34	  	  	SPACE
iajs-1809	139	35	(	(	PUNCT
iajs-1809	139	36	75,25	75,25	NUM
iajs-1809	139	37	)	)	PUNCT
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iajs-1809	139	39	0.33124	0.33124	NUM
iajs-1809	140	1	0.86866	0.86866	NUM
iajs-1809	140	2	0.08935	0.08935	NUM
iajs-1809	140	3	0.05540	0.05540	NUM
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iajs-1809	140	7	th	th	NOUN
iajs-1809	140	8	  	  	SPACE
iajs-1809	140	9	(	(	PUNCT
iajs-1809	140	10	75,50	75,50	NUM
iajs-1809	140	11	)	)	PUNCT
iajs-1809	140	12	0.23217	0.23217	NUM
iajs-1809	140	13	0.33458	0.33458	NUM
iajs-1809	140	14	0.43460	0.43460	NUM
iajs-1809	141	1	0.21818	0.21818	NUM
iajs-1809	141	2	0.01276	0.01276	NUM
iajs-1809	141	3	0.00013	0.00013	NUM
iajs-1809	141	4	0.01351	0.01351	NUM
iajs-1809	141	5	0.01387	0.01387	NUM
iajs-1809	141	6	th	th	NOUN
iajs-1809	141	7	  	  	SPACE
iajs-1809	141	8	(	(	PUNCT
iajs-1809	141	9	75,75	75,75	NOUN
iajs-1809	141	10	)	)	PUNCT
iajs-1809	141	11	0.33637	0.33637	NUM
iajs-1809	141	12	0.33573	0.33573	NUM
iajs-1809	141	13	0.37699	0.37699	NUM
iajs-1809	141	14	0.32495	0.32495	NUM
iajs-1809	141	15	0.00206	0.00206	NUM
iajs-1809	141	16	0.00010	0.00010	NUM
iajs-1809	141	17	0.00330	0.00330	NUM
iajs-1809	141	18	0.00019	0.00019	NUM
iajs-1809	141	19	th	th	NOUN
iajs-1809	141	20	  	  	SPACE
iajs-1809	141	21	(	(	PUNCT
iajs-1809	141	22	75,100	75,100	NUM
iajs-1809	141	23	)	)	PUNCT
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iajs-1809	141	25	0.33658	0.33658	NUM
iajs-1809	141	26	0.30343	0.30343	NUM
iajs-1809	141	27	0.40879	0.40879	NUM
iajs-1809	141	28	0.00911	0.00911	NUM
iajs-1809	141	29	0.00009	0.00009	NUM
iajs-1809	141	30	0.00514	0.00514	NUM
iajs-1809	141	31	0.00542	0.00542	NUM
iajs-1809	141	32	th	th	NOUN
iajs-1809	141	33	  	  	SPACE
iajs-1809	141	34	(	(	PUNCT
iajs-1809	141	35	100,25	100,25	NUM
iajs-1809	141	36	)	)	PUNCT
iajs-1809	141	37	0.06675	0.06675	NUM
iajs-1809	141	38	0.32741	0.32741	NUM
iajs-1809	141	39	0.37284	0.37284	NUM
iajs-1809	141	40	0.05869	0.05869	NUM
iajs-1809	141	41	0.07278	0.07278	NUM
iajs-1809	141	42	0.00025	0.00025	NUM
iajs-1809	141	43	0.08851	0.08851	NUM
iajs-1809	141	44	0.07672	0.07672	NUM
iajs-1809	141	45	th	th	NUM
iajs-1809	141	46	  	  	SPACE
iajs-1809	141	47	(	(	PUNCT
iajs-1809	141	48	100,50	100,50	NUM
iajs-1809	141	49	)	)	PUNCT
iajs-1809	141	50	0.16750	0.16750	NUM
iajs-1809	141	51	0.33292	0.33292	NUM
iajs-1809	141	52	0.60934	0.60934	NUM
iajs-1809	141	53	0.15680	0.15680	NUM
iajs-1809	141	54	0.02943	0.02943	NUM
iajs-1809	141	55	0.00012	0.00012	NUM
iajs-1809	141	56	0.07658	0.07658	NUM
iajs-1809	141	57	0.03203	0.03203	NUM
iajs-1809	141	58	th	th	NOUN
iajs-1809	141	59	  	  	SPACE
iajs-1809	141	60	(	(	PUNCT
iajs-1809	141	61	100,75	100,75	NOUN
iajs-1809	141	62	)	)	PUNCT
iajs-1809	141	63	0.25687	0.25687	NUM
iajs-1809	141	64	0.33418	0.33418	NUM
iajs-1809	141	65	0.54797	0.54797	NUM
iajs-1809	141	66	0.24809	0.24809	NUM
iajs-1809	141	67	0.00760	0.00760	NUM
iajs-1809	141	68	0.00009	0.00009	NUM
iajs-1809	141	69	0.05578	0.05578	NUM
iajs-1809	141	70	0.00771	0.00771	NUM
iajs-1809	141	71	th	th	NOUN
iajs-1809	141	72	  	  	SPACE
iajs-1809	141	73	(	(	PUNCT
iajs-1809	141	74	100,100	100,100	NUM
iajs-1809	141	75	)	)	PUNCT
iajs-1809	141	76	0.33762	0.33762	NUM
iajs-1809	141	77	0.33584	0.33584	NUM
iajs-1809	141	78	0.43285	0.43285	NUM
iajs-1809	142	1	0.32471	0.32471	NUM
iajs-1809	142	2	0.00166	0.00166	NUM
iajs-1809	142	3	0.00008	0.00008	NUM
iajs-1809	142	4	0.01129	0.01129	NUM
iajs-1809	142	5	0.00018	0.00018	NUM
iajs-1809	142	6	th	th	NOUN
iajs-1809	142	7	  	  	SPACE
iajs-1809	142	8	ihsciconf	ihsciconf	PROPN
iajs-1809	142	9	2017	2017	NUM
iajs-1809	142	10	special	special	ADJ
iajs-1809	142	11	issue	issue	NOUN
iajs-1809	142	12	ibn	ibn	PROPN
iajs-1809	142	13	al	al	PROPN
iajs-1809	142	14	-	-	PUNCT
iajs-1809	142	15	haitham	haitham	PROPN
iajs-1809	142	16	journal	journal	PROPN
iajs-1809	142	17	for	for	ADP
iajs-1809	142	18	pure	pure	ADJ
iajs-1809	142	19	and	and	CCONJ
iajs-1809	142	20	applied	apply	VERB
iajs-1809	142	21	science	science	NOUN
iajs-1809	142	22	https://doi.org/	https://doi.org/	NOUN
iajs-1809	142	23	10.30526/2017.ihsciconf.1809	10.30526/2017.ihsciconf.1809	NUM
iajs-1809	142	24	for	for	ADP
iajs-1809	142	25	more	more	ADJ
iajs-1809	142	26	information	information	NOUN
iajs-1809	142	27	about	about	ADP
iajs-1809	142	28	the	the	DET
iajs-1809	142	29	conference	conference	NOUN
iajs-1809	142	30	please	please	INTJ
iajs-1809	142	31	visit	visit	VERB
iajs-1809	142	32	the	the	DET
iajs-1809	142	33	websites	website	NOUN
iajs-1809	142	34	:	:	PUNCT
iajs-1809	142	35	http://www.ihsciconf.org/conf/	http://www.ihsciconf.org/conf/	VERB
iajs-1809	142	36	   	   	SPACE
iajs-1809	142	37	www.ihsciconf.org	www.ihsciconf.org	ADJ
iajs-1809	142	38	   	   	SPACE
iajs-1809	142	39	mathematics|375	mathematics|375	ADJ
iajs-1809	142	40	    	    	SPACE
iajs-1809	142	41	table	table	NOUN
iajs-1809	142	42	(	(	PUNCT
iajs-1809	142	43	3	3	NUM
iajs-1809	142	44	):	):	PUNCT
iajs-1809	142	45	shown	show	VERB
iajs-1809	142	46	estimation	estimation	NOUN
iajs-1809	142	47	value	value	NOUN
iajs-1809	142	48	of	of	ADP
iajs-1809	142	49	r(s	r(s	PROPN
iajs-1809	142	50	,	,	PUNCT
iajs-1809	142	51	k	k	NOUN
iajs-1809	142	52	)	)	PUNCT
iajs-1809	142	53	,	,	PUNCT
iajs-1809	142	54	and	and	CCONJ
iajs-1809	142	55	mse	mse	VERB
iajs-1809	142	56	when	when	SCONJ
iajs-1809	142	57	(	(	PUNCT
iajs-1809	142	58	s	s	NOUN
iajs-1809	142	59	,	,	PUNCT
iajs-1809	142	60	k)=(3,4	k)=(3,4	NOUN
iajs-1809	142	61	)	)	PUNCT
iajs-1809	142	62	,	,	PUNCT
iajs-1809	142	63	and	and	CCONJ
iajs-1809	142	64	α1=2	α1=2	PROPN
iajs-1809	142	65	,	,	PUNCT
iajs-1809	142	66	α2=5	α2=5	PROPN
iajs-1809	142	67	,	,	PUNCT
iajs-1809	142	68	𝜽=3	𝜽=3	PROPN
iajs-1809	142	69	;	;	PUNCT
iajs-1809	142	70	r(s	r(s	NUM
iajs-1809	142	71	,	,	PUNCT
iajs-1809	142	72	k)=	k)=	VERB
iajs-1809	142	73	 	 	SPACE
iajs-1809	142	74	0.14918	0.14918	NUM
iajs-1809	142	75	𝑹	𝑹	NOUN
iajs-1809	142	76	𝒔,𝒌	𝒔,𝒌	NOUN
iajs-1809	142	77	mse	mse	PROPN
iajs-1809	142	78	(	(	PUNCT
iajs-1809	142	79	n	n	CCONJ
iajs-1809	142	80	,	,	PUNCT
iajs-1809	142	81	m	m	NOUN
iajs-1809	142	82	)	)	PUNCT
iajs-1809	142	83	𝑹	𝑹	NOUN
iajs-1809	142	84	𝒔,𝒌	𝒔,𝒌	INTJ
iajs-1809	142	85	𝑴𝑳𝑬	𝑴𝑳𝑬	NOUN
iajs-1809	142	86	𝑹	𝑹	NOUN
iajs-1809	142	87	𝒔,𝒌	𝒔,𝒌	INTJ
iajs-1809	143	1	𝑻𝒉	𝑻𝒉	ADJ
iajs-1809	143	2	𝑹	𝑹	NOUN
iajs-1809	143	3	𝒔,𝒌	𝒔,𝒌	INTJ
iajs-1809	143	4	𝑳𝑺	𝑳𝑺	PROPN
iajs-1809	143	5	𝑹	𝑹	NOUN
iajs-1809	143	6	𝒔,𝒌	𝒔,𝒌	NOUN
iajs-1809	143	7	𝑹𝑺𝑺	𝑹𝑺𝑺	PROPN
iajs-1809	143	8	𝑹	𝑹	PROPN
iajs-1809	143	9	𝒔,𝒌	𝒔,𝒌	VERB
iajs-1809	144	1	𝑴𝑳𝑬	𝑴𝑳𝑬	NOUN
iajs-1809	144	2	𝑹	𝑹	NOUN
iajs-1809	144	3	𝒔,𝒌	𝒔,𝒌	INTJ
iajs-1809	145	1	𝑻𝒉	𝑻𝒉	ADJ
iajs-1809	145	2	𝑹	𝑹	NOUN
iajs-1809	145	3	𝒔,𝒌	𝒔,𝒌	INTJ
iajs-1809	145	4	𝑳𝑺	𝑳𝑺	PROPN
iajs-1809	145	5	𝑹	𝑹	NOUN
iajs-1809	145	6	𝒔,𝒌	𝒔,𝒌	ADP
iajs-1809	145	7	𝑹𝑺𝑺	𝑹𝑺𝑺	PROPN
iajs-1809	145	8	bes	bes	PROPN
iajs-1809	145	9	t	t	PROPN
iajs-1809	145	10	(	(	PUNCT
iajs-1809	145	11	25,25	25,25	ADJ
iajs-1809	145	12	)	)	PUNCT
iajs-1809	145	13	0.1582	0.1582	NUM
iajs-1809	145	14	9	9	NUM
iajs-1809	145	15	0.1495	0.1495	NUM
iajs-1809	145	16	4	4	NUM
iajs-1809	145	17	0.0540	0.0540	NUM
iajs-1809	145	18	2	2	NUM
iajs-1809	145	19	0.1408	0.1408	NUM
iajs-1809	145	20	0	0	NUM
iajs-1809	146	1	0.00367	0.00367	NUM
iajs-1809	146	2	0.0001	0.0001	NUM
iajs-1809	146	3	7	7	NUM
iajs-1809	146	4	0.0139	0.0139	NUM
iajs-1809	146	5	8	8	NUM
iajs-1809	146	6	0.0002	0.0002	NUM
iajs-1809	146	7	0	0	NUM
iajs-1809	147	1	th	th	PRON
iajs-1809	148	1	(	(	PUNCT
iajs-1809	148	2	25,50	25,50	NUM
iajs-1809	148	3	)	)	PUNCT
iajs-1809	148	4	0.3371	0.3371	NUM
iajs-1809	148	5	9	9	NUM
iajs-1809	148	6	0.1501	0.1501	NUM
iajs-1809	148	7	3	3	NUM
iajs-1809	148	8	0.0474	0.0474	NUM
iajs-1809	148	9	5	5	NUM
iajs-1809	148	10	0.3271	0.3271	NUM
iajs-1809	148	11	4	4	NUM
iajs-1809	148	12	0.04068	0.04068	NUM
iajs-1809	148	13	0.0001	0.0001	NUM
iajs-1809	148	14	4	4	NUM
iajs-1809	148	15	0.0105	0.0105	NUM
iajs-1809	148	16	6	6	NUM
iajs-1809	148	17	0.0319	0.0319	NUM
iajs-1809	148	18	0	0	SYM
iajs-1809	149	1	th	th	NOUN
iajs-1809	149	2	  	  	SPACE
iajs-1809	149	3	(	(	PUNCT
iajs-1809	149	4	25,75	25,75	NUM
iajs-1809	149	5	)	)	PUNCT
iajs-1809	149	6	0.4590	0.4590	NUM
iajs-1809	149	7	6	6	NUM
iajs-1809	149	8	0.1504	0.1504	NUM
iajs-1809	149	9	9	9	NUM
iajs-1809	149	10	0.1145	0.1145	NUM
iajs-1809	149	11	1	1	NUM
iajs-1809	149	12	0.4567	0.4567	NUM
iajs-1809	149	13	7	7	NUM
iajs-1809	149	14	0.10095	0.10095	NUM
iajs-1809	149	15	0.0001	0.0001	NUM
iajs-1809	149	16	3	3	NUM
iajs-1809	149	17	0.0262	0.0262	NUM
iajs-1809	149	18	0	0	NUM
iajs-1809	149	19	0.0948	0.0948	NUM
iajs-1809	149	20	4	4	NUM
iajs-1809	149	21	th	th	NOUN
iajs-1809	149	22	  	  	SPACE
iajs-1809	149	23	(	(	PUNCT
iajs-1809	149	24	25,100	25,100	NUM
iajs-1809	149	25	)	)	PUNCT
iajs-1809	149	26	0.5477	0.5477	NUM
iajs-1809	149	27	3	3	NUM
iajs-1809	149	28	0.1507	0.1507	NUM
iajs-1809	149	29	9	9	NUM
iajs-1809	149	30	0.0221	0.0221	NUM
iajs-1809	149	31	2	2	NUM
iajs-1809	149	32	0.5457	0.5457	NUM
iajs-1809	149	33	3	3	NUM
iajs-1809	149	34	0.16312	0.16312	NUM
iajs-1809	149	35	0.0001	0.0001	NUM
iajs-1809	149	36	3	3	NUM
iajs-1809	149	37	0.0163	0.0163	NUM
iajs-1809	149	38	3	3	NUM
iajs-1809	149	39	0.1574	0.1574	NUM
iajs-1809	149	40	4	4	NUM
iajs-1809	149	41	th	th	NUM
iajs-1809	149	42	  	  	SPACE
iajs-1809	149	43	(	(	PUNCT
iajs-1809	149	44	50,25	50,25	PROPN
iajs-1809	149	45	)	)	PUNCT
iajs-1809	149	46	0.0499	0.0499	NUM
iajs-1809	149	47	7	7	NUM
iajs-1809	149	48	0.1471	0.1471	NUM
iajs-1809	149	49	0	0	NUM
iajs-1809	149	50	0.4219	0.4219	NUM
iajs-1809	149	51	2	2	NUM
iajs-1809	149	52	0.0421	0.0421	NUM
iajs-1809	149	53	1	1	NUM
iajs-1809	149	54	0.01034	0.01034	NUM
iajs-1809	149	55	0.0001	0.0001	NUM
iajs-1809	149	56	1	1	NUM
iajs-1809	149	57	0.0833	0.0833	NUM
iajs-1809	149	58	1	1	NUM
iajs-1809	149	59	0.0114	0.0114	NUM
iajs-1809	149	60	7	7	NUM
iajs-1809	149	61	th	th	NOUN
iajs-1809	149	62	  	  	SPACE
iajs-1809	149	63	(	(	PUNCT
iajs-1809	149	64	50,50	50,50	NUM
iajs-1809	149	65	)	)	PUNCT
iajs-1809	149	66	0.1528	0.1528	NUM
iajs-1809	149	67	9	9	NUM
iajs-1809	149	68	0.1493	0.1493	NUM
iajs-1809	149	69	4	4	NUM
iajs-1809	149	70	0.1268	0.1268	NUM
iajs-1809	149	71	3	3	NUM
iajs-1809	149	72	0.1413	0.1413	NUM
iajs-1809	149	73	3	3	NUM
iajs-1809	149	74	0.00185	0.00185	NUM
iajs-1809	149	75	0.0000	0.0000	NUM
iajs-1809	149	76	8	8	NUM
iajs-1809	149	77	0.0039	0.0039	NUM
iajs-1809	149	78	1	1	NUM
iajs-1809	149	79	0.0001	0.0001	NUM
iajs-1809	149	80	3	3	NUM
iajs-1809	149	81	th	th	NUM
iajs-1809	149	82	  	  	SPACE
iajs-1809	149	83	(	(	PUNCT
iajs-1809	149	84	50,75	50,75	NOUN
iajs-1809	149	85	)	)	PUNCT
iajs-1809	149	86	0.2508	0.2508	NUM
iajs-1809	149	87	5	5	NUM
iajs-1809	149	88	0.1497	0.1497	NUM
iajs-1809	149	89	2	2	NUM
iajs-1809	149	90	0.0462	0.0462	NUM
iajs-1809	149	91	8	8	NUM
iajs-1809	149	92	0.2396	0.2396	NUM
iajs-1809	149	93	3	3	NUM
iajs-1809	149	94	0.01302	0.01302	NUM
iajs-1809	149	95	0.0000	0.0000	NUM
iajs-1809	149	96	8	8	NUM
iajs-1809	149	97	0.0113	0.0113	NUM
iajs-1809	149	98	8	8	NUM
iajs-1809	149	99	0.0082	0.0082	NUM
iajs-1809	149	100	8	8	NUM
iajs-1809	149	101	th	th	NOUN
iajs-1809	149	102	  	  	SPACE
iajs-1809	149	103	(	(	PUNCT
iajs-1809	149	104	50,100	50,100	NUM
iajs-1809	149	105	)	)	PUNCT
iajs-1809	149	106	0.3325	0.3325	NUM
iajs-1809	149	107	6	6	NUM
iajs-1809	149	108	0.1500	0.1500	NUM
iajs-1809	149	109	0	0	NUM
iajs-1809	149	110	0.1722	0.1722	NUM
iajs-1809	149	111	7	7	NUM
iajs-1809	149	112	0.3236	0.3236	NUM
iajs-1809	149	113	0	0	NUM
iajs-1809	149	114	0.03638	0.03638	NUM
iajs-1809	149	115	0.0000	0.0000	NUM
iajs-1809	149	116	7	7	NUM
iajs-1809	149	117	0.0107	0.0107	NUM
iajs-1809	149	118	2	2	NUM
iajs-1809	149	119	0.0305	0.0305	NUM
iajs-1809	149	120	3	3	NUM
iajs-1809	149	121	th	th	X
iajs-1809	149	122	(	(	PUNCT
iajs-1809	149	123	75,25	75,25	NUM
iajs-1809	149	124	)	)	PUNCT
iajs-1809	149	125	0.0229	0.0229	NUM
iajs-1809	149	126	0	0	NUM
iajs-1809	150	1	0.1457	0.1457	NUM
iajs-1809	150	2	2	2	NUM
iajs-1809	150	3	0.3805	0.3805	NUM
iajs-1809	150	4	0	0	NUM
iajs-1809	151	1	0.0177	0.0177	NUM
iajs-1809	151	2	6	6	NUM
iajs-1809	151	3	0.01607	0.01607	NUM
iajs-1809	151	4	0.0001	0.0001	NUM
iajs-1809	151	5	1	1	NUM
iajs-1809	151	6	0.0807	0.0807	NUM
iajs-1809	151	7	0	0	NUM
iajs-1809	151	8	0.0172	0.0172	NUM
iajs-1809	151	9	7	7	NUM
iajs-1809	151	10	th	th	NOUN
iajs-1809	151	11	  	  	SPACE
iajs-1809	151	12	(	(	PUNCT
iajs-1809	151	13	75,50	75,50	NUM
iajs-1809	151	14	)	)	PUNCT
iajs-1809	151	15	0.0833	0.0833	NUM
iajs-1809	151	16	0	0	NUM
iajs-1809	151	17	0.1485	0.1485	NUM
iajs-1809	151	18	3	3	NUM
iajs-1809	151	19	0.2898	0.2898	NUM
iajs-1809	151	20	8	8	NUM
iajs-1809	151	21	0.0734	0.0734	NUM
iajs-1809	151	22	3	3	NUM
iajs-1809	151	23	0.00499	0.00499	NUM
iajs-1809	151	24	0.0000	0.0000	NUM
iajs-1809	151	25	6	6	NUM
iajs-1809	151	26	0.0260	0.0260	NUM
iajs-1809	151	27	3	3	NUM
iajs-1809	151	28	0.0057	0.0057	NUM
iajs-1809	151	29	5	5	NUM
iajs-1809	151	30	th	th	NOUN
iajs-1809	151	31	  	  	SPACE
iajs-1809	151	32	(	(	PUNCT
iajs-1809	151	33	75,75	75,75	NOUN
iajs-1809	151	34	)	)	PUNCT
iajs-1809	151	35	0.1528	0.1528	NUM
iajs-1809	151	36	7	7	NUM
iajs-1809	151	37	0.1494	0.1494	NUM
iajs-1809	151	38	8	8	NUM
iajs-1809	151	39	0.0986	0.0986	NUM
iajs-1809	151	40	3	3	NUM
iajs-1809	151	41	0.1411	0.1411	NUM
iajs-1809	151	42	4	4	NUM
iajs-1809	151	43	0.00125	0.00125	NUM
iajs-1809	151	44	0.0000	0.0000	NUM
iajs-1809	151	45	5	5	NUM
iajs-1809	151	46	0.0034	0.0034	NUM
iajs-1809	151	47	3	3	NUM
iajs-1809	151	48	0.0001	0.0001	NUM
iajs-1809	151	49	0	0	NUM
iajs-1809	151	50	th	th	NOUN
iajs-1809	151	51	  	  	SPACE
iajs-1809	151	52	(	(	PUNCT
iajs-1809	151	53	75,100	75,100	NUM
iajs-1809	151	54	)	)	PUNCT
iajs-1809	151	55	0.2194	0.2194	NUM
iajs-1809	151	56	8	8	NUM
iajs-1809	151	57	0.1497	0.1497	NUM
iajs-1809	151	58	7	7	NUM
iajs-1809	151	59	0.0292	0.0292	NUM
iajs-1809	151	60	0	0	NUM
iajs-1809	151	61	0.2074	0.2074	NUM
iajs-1809	151	62	7	7	NUM
iajs-1809	151	63	0.00647	0.00647	NUM
iajs-1809	151	64	0.0000	0.0000	NUM
iajs-1809	151	65	5	5	NUM
iajs-1809	151	66	0.0155	0.0155	NUM
iajs-1809	151	67	1	1	NUM
iajs-1809	151	68	0.0034	0.0034	NUM
iajs-1809	151	69	5	5	NUM
iajs-1809	151	70	th	th	NOUN
iajs-1809	151	71	(	(	PUNCT
iajs-1809	151	72	100,25	100,25	NUM
iajs-1809	151	73	)	)	PUNCT
iajs-1809	152	1	0.0121	0.0121	NUM
iajs-1809	152	2	0	0	NUM
iajs-1809	152	3	0.1438	0.1438	NUM
iajs-1809	152	4	6	6	NUM
iajs-1809	152	5	0.4206	0.4206	NUM
iajs-1809	152	6	8	8	NUM
iajs-1809	152	7	0.0091	0.0091	NUM
iajs-1809	152	8	1	1	NUM
iajs-1809	152	9	0.01883	0.01883	NUM
iajs-1809	152	10	0.0001	0.0001	NUM
iajs-1809	152	11	2	2	NUM
iajs-1809	152	12	0.0841	0.0841	NUM
iajs-1809	152	13	6	6	NUM
iajs-1809	152	14	0.0196	0.0196	NUM
iajs-1809	152	15	2	2	NUM
iajs-1809	152	16	th	th	NOUN
iajs-1809	152	17	  	  	SPACE
iajs-1809	152	18	(	(	PUNCT
iajs-1809	152	19	100,50	100,50	NUM
iajs-1809	152	20	)	)	PUNCT
iajs-1809	152	21	0.0491	0.0491	NUM
iajs-1809	152	22	3	3	NUM
iajs-1809	152	23	0.1475	0.1475	NUM
iajs-1809	152	24	1	1	NUM
iajs-1809	152	25	0.3445	0.3445	NUM
iajs-1809	152	26	1	1	NUM
iajs-1809	152	27	0.0431	0.0431	NUM
iajs-1809	152	28	9	9	NUM
iajs-1809	152	29	0.01025	0.01025	NUM
iajs-1809	152	30	0.0000	0.0000	NUM
iajs-1809	152	31	6	6	NUM
iajs-1809	152	32	0.0419	0.0419	NUM
iajs-1809	152	33	0	0	NUM
iajs-1809	153	1	0.0112	0.0112	NUM
iajs-1809	153	2	4	4	NUM
iajs-1809	153	3	th	th	NOUN
iajs-1809	153	4	  	  	SPACE
iajs-1809	153	5	(	(	PUNCT
iajs-1809	153	6	100,75	100,75	NOUN
iajs-1809	153	7	)	)	PUNCT
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iajs-1809	153	9	1	1	NUM
iajs-1809	153	10	0.1489	0.1489	NUM
iajs-1809	153	11	5	5	NUM
iajs-1809	153	12	0.4359	0.4359	NUM
iajs-1809	153	13	3	3	NUM
iajs-1809	153	14	0.0901	0.0901	NUM
iajs-1809	153	15	9	9	NUM
iajs-1809	153	16	0.00300	0.00300	NUM
iajs-1809	153	17	0.0000	0.0000	NUM
iajs-1809	153	18	4	4	NUM
iajs-1809	153	19	0.0955	0.0955	NUM
iajs-1809	153	20	7	7	NUM
iajs-1809	153	21	0.0034	0.0034	NUM
iajs-1809	153	22	9	9	NUM
iajs-1809	153	23	th	th	NOUN
iajs-1809	153	24	  	  	SPACE
iajs-1809	153	25	(	(	PUNCT
iajs-1809	153	26	100,10	100,10	NUM
iajs-1809	153	27	0	0	NUM
iajs-1809	153	28	)	)	PUNCT
iajs-1809	153	29	0.1501	0.1501	NUM
iajs-1809	153	30	1	1	NUM
iajs-1809	153	31	0.1490	0.1490	NUM
iajs-1809	153	32	5	5	NUM
iajs-1809	153	33	0.3288	0.3288	NUM
iajs-1809	153	34	5	5	NUM
iajs-1809	153	35	0.1415	0.1415	NUM
iajs-1809	153	36	2	2	NUM
iajs-1809	153	37	0.00085	0.00085	NUM
iajs-1809	153	38	0.0000	0.0000	NUM
iajs-1809	153	39	4	4	NUM
iajs-1809	153	40	0.0370	0.0370	NUM
iajs-1809	153	41	9	9	NUM
iajs-1809	153	42	0.0000	0.0000	NUM
iajs-1809	153	43	8	8	NUM
iajs-1809	153	44	th	th	NOUN
iajs-1809	153	45	ihsciconf	ihsciconf	PROPN
iajs-1809	153	46	2017	2017	NUM
iajs-1809	153	47	special	special	ADJ
iajs-1809	153	48	issue	issue	NOUN
iajs-1809	153	49	ibn	ibn	PROPN
iajs-1809	153	50	al	al	PROPN
iajs-1809	153	51	-	-	PUNCT
iajs-1809	153	52	haitham	haitham	PROPN
iajs-1809	153	53	journal	journal	PROPN
iajs-1809	153	54	for	for	ADP
iajs-1809	153	55	pure	pure	ADJ
iajs-1809	153	56	and	and	CCONJ
iajs-1809	153	57	applied	apply	VERB
iajs-1809	153	58	science	science	NOUN
iajs-1809	153	59	https://doi.org/	https://doi.org/	NOUN
iajs-1809	153	60	10.30526/2017.ihsciconf.1809	10.30526/2017.ihsciconf.1809	NUM
iajs-1809	153	61	for	for	ADP
iajs-1809	153	62	more	more	ADJ
iajs-1809	153	63	information	information	NOUN
iajs-1809	153	64	about	about	ADP
iajs-1809	153	65	the	the	DET
iajs-1809	153	66	conference	conference	NOUN
iajs-1809	153	67	please	please	INTJ
iajs-1809	153	68	visit	visit	VERB
iajs-1809	153	69	the	the	DET
iajs-1809	153	70	websites	website	NOUN
iajs-1809	153	71	:	:	PUNCT
iajs-1809	153	72	http://www.ihsciconf.org/conf/	http://www.ihsciconf.org/conf/	VERB
iajs-1809	153	73	   	   	SPACE
iajs-1809	153	74	www.ihsciconf.org	www.ihsciconf.org	ADJ
iajs-1809	153	75	   	   	SPACE
iajs-1809	153	76	mathematics|376	mathematics|376	NOUN
iajs-1809	153	77	    	    	SPACE
iajs-1809	153	78	3	3	NUM
iajs-1809	153	79	.	.	PUNCT
iajs-1809	153	80	discussion	discussion	PROPN
iajs-1809	153	81	numerical	numerical	PROPN
iajs-1809	153	82	simulation	simulation	PROPN
iajs-1809	153	83	results	result	VERB
iajs-1809	153	84	:	:	PUNCT
iajs-1809	153	85	for	for	ADP
iajs-1809	153	86	all	all	DET
iajs-1809	153	87	n=(25,50,75	n=(25,50,75	NOUN
iajs-1809	153	88	,	,	PUNCT
iajs-1809	153	89	and100	and100	PROPN
iajs-1809	153	90	)	)	PUNCT
iajs-1809	153	91	and	and	CCONJ
iajs-1809	153	92	for	for	ADP
iajs-1809	153	93	all	all	DET
iajs-1809	153	94	m=(25,50,75	m=(25,50,75	NOUN
iajs-1809	153	95	,	,	PUNCT
iajs-1809	153	96	and100	and100	PROPN
iajs-1809	153	97	)	)	PUNCT
iajs-1809	153	98	,	,	PUNCT
iajs-1809	153	99	in	in	ADP
iajs-1809	153	100	this	this	DET
iajs-1809	153	101	work	work	NOUN
iajs-1809	153	102	,	,	PUNCT
iajs-1809	153	103	the	the	DET
iajs-1809	153	104	minimum	minimum	ADJ
iajs-1809	153	105	mean	mean	NOUN
iajs-1809	153	106	square	square	NOUN
iajs-1809	153	107	error	error	NOUN
iajs-1809	153	108	(	(	PUNCT
iajs-1809	153	109	mse	mse	NOUN
iajs-1809	153	110	)	)	PUNCT
iajs-1809	153	111	for	for	ADP
iajs-1809	153	112	reliability	reliability	NOUN
iajs-1809	153	113	estimation	estimation	NOUN
iajs-1809	153	114	of	of	ADP
iajs-1809	153	115	r(s	r(s	PROPN
iajs-1809	153	116	,	,	PUNCT
iajs-1809	153	117	k	k	NOUN
iajs-1809	153	118	)	)	PUNCT
iajs-1809	153	119	model	model	NOUN
iajs-1809	153	120	for	for	ADP
iajs-1809	153	121	the	the	DET
iajs-1809	153	122	exponentiated	exponentiated	ADJ
iajs-1809	153	123	weibull	weibull	NOUN
iajs-1809	153	124	distribution	distribution	NOUN
iajs-1809	153	125	is	be	AUX
iajs-1809	153	126	held	hold	VERB
iajs-1809	153	127	using	use	VERB
iajs-1809	153	128	modified	modify	VERB
iajs-1809	153	129	thompson	thompson	NOUN
iajs-1809	153	130	type	type	NOUN
iajs-1809	153	131	shrinkage	shrinkage	NOUN
iajs-1809	153	132	estimator	estimator	NOUN
iajs-1809	153	133	𝑹	𝑹	NOUN
iajs-1809	153	134	𝒔,𝒌	𝒔,𝒌	PUNCT
iajs-1809	154	1	𝑻𝒉	𝑻𝒉	INTJ
iajs-1809	154	2	.	.	PUNCT
iajs-1809	155	1	this	this	PRON
iajs-1809	155	2	implies	imply	VERB
iajs-1809	155	3	that	that	SCONJ
iajs-1809	155	4	,	,	PUNCT
iajs-1809	155	5	the	the	DET
iajs-1809	155	6	shrinkage	shrinkage	NOUN
iajs-1809	155	7	for	for	ADP
iajs-1809	155	8	reliability	reliability	NOUN
iajs-1809	155	9	estimation	estimation	NOUN
iajs-1809	155	10	(	(	PUNCT
iajs-1809	155	11	𝑹	𝑹	NOUN
iajs-1809	155	12	𝒔,𝒌	𝒔,𝒌	NOUN
iajs-1809	156	1	𝑻𝒉	𝑻𝒉	PROPN
iajs-1809	156	2	)	)	PUNCT
iajs-1809	156	3	is	be	AUX
iajs-1809	156	4	the	the	DET
iajs-1809	156	5	best	good	ADJ
iajs-1809	156	6	and	and	CCONJ
iajs-1809	156	7	follows	follow	VERB
iajs-1809	156	8	by	by	ADP
iajs-1809	156	9	using	use	VERB
iajs-1809	156	10	.	.	PUNCT
iajs-1809	157	1	for	for	ADP
iajs-1809	157	2	any	any	DET
iajs-1809	157	3	n	n	CCONJ
iajs-1809	157	4	,	,	PUNCT
iajs-1809	157	5	some	some	PRON
iajs-1809	157	6	of	of	ADP
iajs-1809	157	7	the	the	DET
iajs-1809	157	8	proposed	propose	VERB
iajs-1809	157	9	estimator	estimator	NOUN
iajs-1809	157	10	(	(	PUNCT
iajs-1809	157	11	mle	mle	PROPN
iajs-1809	157	12	,	,	PUNCT
iajs-1809	157	13	ls	ls	ADJ
iajs-1809	157	14	,	,	PUNCT
iajs-1809	157	15	and	and	CCONJ
iajs-1809	157	16	rss	rss	NOUN
iajs-1809	157	17	)	)	PUNCT
iajs-1809	157	18	with	with	ADP
iajs-1809	157	19	m	m	PRON
iajs-1809	157	20	the	the	DET
iajs-1809	157	21	methods	method	NOUN
iajs-1809	157	22	are	be	AUX
iajs-1809	157	23	vibration	vibration	NOUN
iajs-1809	157	24	.	.	PUNCT
iajs-1809	158	1	finally	finally	ADV
iajs-1809	158	2	,	,	PUNCT
iajs-1809	158	3	for	for	ADP
iajs-1809	158	4	any	any	DET
iajs-1809	158	5	n	n	NOUN
iajs-1809	158	6	and	and	CCONJ
iajs-1809	158	7	m	m	VERB
iajs-1809	158	8	the	the	DET
iajs-1809	158	9	second	second	ADJ
iajs-1809	158	10	order	order	NOUN
iajs-1809	158	11	best	good	ADJ
iajs-1809	158	12	estimator	estimator	NOUN
iajs-1809	158	13	is	be	AUX
iajs-1809	158	14	ranked	rank	VERB
iajs-1809	158	15	set	set	ADJ
iajs-1809	158	16	sampling	sampling	NOUN
iajs-1809	158	17	(	(	PUNCT
iajs-1809	158	18	𝑹	𝑹	NOUN
iajs-1809	158	19	𝒔,𝒌	𝒔,𝒌	NOUN
iajs-1809	158	20	𝑹𝑺𝑺	𝑹𝑺𝑺	PROPN
iajs-1809	158	21	)	)	PUNCT
iajs-1809	158	22	or	or	CCONJ
iajs-1809	158	23	maximum	maximum	ADJ
iajs-1809	158	24	likelihood	likelihood	NOUN
iajs-1809	158	25	estimator	estimator	NOUN
iajs-1809	158	26	(	(	PUNCT
iajs-1809	158	27	𝑹	𝑹	NOUN
iajs-1809	158	28	𝒔,𝒌	𝒔,𝒌	VERB
iajs-1809	158	29	𝑴𝑳𝑬	𝑴𝑳𝑬	PROPN
iajs-1809	158	30	)	)	PUNCT
iajs-1809	158	31	.	.	PUNCT
iajs-1809	159	1	4	4	X
iajs-1809	159	2	.	.	X
iajs-1809	159	3	conclusion	conclusion	NOUN
iajs-1809	159	4	:	:	PUNCT
iajs-1809	159	5	from	from	ADP
iajs-1809	159	6	the	the	DET
iajs-1809	159	7	numerical	numerical	ADJ
iajs-1809	159	8	results	result	NOUN
iajs-1809	159	9	,	,	PUNCT
iajs-1809	159	10	one	one	PRON
iajs-1809	159	11	can	can	AUX
iajs-1809	159	12	find	find	VERB
iajs-1809	159	13	the	the	DET
iajs-1809	159	14	proposal	proposal	NOUN
iajs-1809	159	15	using	use	VERB
iajs-1809	159	16	modified	modify	VERB
iajs-1809	159	17	thompson	thompson	NOUN
iajs-1809	159	18	type	type	NOUN
iajs-1809	159	19	shrinkage	shrinkage	NOUN
iajs-1809	159	20	estimator	estimator	NOUN
iajs-1809	159	21	𝑹	𝑹	NOUN
iajs-1809	159	22	𝒔,𝒌	𝒔,𝒌	NOUN
iajs-1809	160	1	𝑻𝒉	𝑻𝒉	PROPN
iajs-1809	160	2	)	)	PUNCT
iajs-1809	160	3	which	which	PRON
iajs-1809	160	4	depends	depend	VERB
iajs-1809	160	5	on	on	ADP
iajs-1809	160	6	unbiased	unbiased	ADJ
iajs-1809	160	7	estimator	estimator	NOUN
iajs-1809	160	8	and	and	CCONJ
iajs-1809	160	9	prior	prior	ADJ
iajs-1809	160	10	estimate	estimate	NOUN
iajs-1809	160	11	(	(	PUNCT
iajs-1809	160	12	moment	moment	NOUN
iajs-1809	160	13	method	method	NOUN
iajs-1809	160	14	)	)	PUNCT
iajs-1809	160	15	as	as	ADP
iajs-1809	160	16	a	a	DET
iajs-1809	160	17	linear	linear	ADJ
iajs-1809	160	18	combination	combination	NOUN
iajs-1809	160	19	,	,	PUNCT
iajs-1809	160	20	performance	performance	NOUN
iajs-1809	160	21	good	good	ADJ
iajs-1809	160	22	behavior	behavior	NOUN
iajs-1809	160	23	and	and	CCONJ
iajs-1809	160	24	it	it	PRON
iajs-1809	160	25	is	be	AUX
iajs-1809	160	26	the	the	DET
iajs-1809	160	27	best	good	ADJ
iajs-1809	160	28	estimator	estimator	NOUN
iajs-1809	160	29	than	than	ADP
iajs-1809	160	30	the	the	DET
iajs-1809	160	31	others	other	NOUN
iajs-1809	160	32	in	in	ADP
iajs-1809	160	33	the	the	DET
iajs-1809	160	34	sense	sense	NOUN
iajs-1809	160	35	of	of	ADP
iajs-1809	160	36	mse	mse	PROPN
iajs-1809	160	37	.	.	PUNCT
iajs-1809	161	1	acknowledgment	acknowledgment	NOUN
iajs-1809	161	2	the	the	DET
iajs-1809	161	3	authors	author	NOUN
iajs-1809	161	4	wanted	want	VERB
iajs-1809	161	5	to	to	PART
iajs-1809	161	6	provide	provide	VERB
iajs-1809	161	7	thanks	thank	NOUN
iajs-1809	161	8	to	to	ADP
iajs-1809	161	9	the	the	DET
iajs-1809	161	10	referees	referee	NOUN
iajs-1809	161	11	and	and	CCONJ
iajs-1809	161	12	to	to	ADP
iajs-1809	161	13	the	the	DET
iajs-1809	161	14	editor	editor	NOUN
iajs-1809	161	15	for	for	ADP
iajs-1809	161	16	constructive	constructive	ADJ
iajs-1809	161	17	suggestions	suggestion	NOUN
iajs-1809	161	18	and	and	CCONJ
iajs-1809	161	19	valuable	valuable	ADJ
iajs-1809	161	20	comments	comment	NOUN
iajs-1809	161	21	which	which	PRON
iajs-1809	161	22	resulted	result	VERB
iajs-1809	161	23	in	in	ADP
iajs-1809	161	24	the	the	DET
iajs-1809	161	25	improvement	improvement	NOUN
iajs-1809	161	26	of	of	ADP
iajs-1809	161	27	this	this	DET
iajs-1809	161	28	article	article	NOUN
iajs-1809	161	29	.	.	PUNCT
iajs-1809	162	1	references	reference	NOUN
iajs-1809	162	2	[	[	X
iajs-1809	162	3	1	1	NUM
iajs-1809	162	4	]	]	X
iajs-1809	162	5	z.n	z.n	PROPN
iajs-1809	162	6	.	.	PROPN
iajs-1809	162	7	al	al	PROPN
iajs-1809	162	8	-	-	PUNCT
iajs-1809	162	9	hemyari	hemyari	PROPN
iajs-1809	162	10	,	,	PUNCT
iajs-1809	162	11	and	and	CCONJ
iajs-1809	162	12	a.n	a.n	PROPN
iajs-1809	162	13	.	.	PROPN
iajs-1809	162	14	,	,	PUNCT
iajs-1809	162	15	al	al	PROPN
iajs-1809	162	16	-	-	PUNCT
iajs-1809	162	17	joboori	joboori	NOUN
iajs-1809	162	18	,	,	PUNCT
iajs-1809	162	19	"	"	PUNCT
iajs-1809	162	20	on	on	ADP
iajs-1809	162	21	thompson	thompson	NOUN
iajs-1809	162	22	type	type	NOUN
iajs-1809	162	23	estimators	estimator	NOUN
iajs-1809	162	24	for	for	ADP
iajs-1809	162	25	the	the	DET
iajs-1809	162	26	mean	mean	NOUN
iajs-1809	162	27	of	of	ADP
iajs-1809	162	28	normal	normal	ADJ
iajs-1809	162	29	distribution	distribution	NOUN
iajs-1809	162	30	"	"	PUNCT
iajs-1809	162	31	,	,	PUNCT
iajs-1809	162	32	revista	revista	PROPN
iajs-1809	162	33	investigacion	investigacion	PROPN
iajs-1809	162	34	operacional	operacional	PROPN
iajs-1809	162	35	j.	j.	PROPN
iajs-1809	162	36	,.30,.2,.109	,.30,.2,.109	PROPN
iajs-1809	162	37	-	-	PROPN
iajs-1809	162	38	116.2009	116.2009	NUM
iajs-1809	162	39	[	[	X
iajs-1809	162	40	2	2	NUM
iajs-1809	162	41	]	]	X
iajs-1809	162	42	h.m	h.m	PROPN
iajs-1809	162	43	.	.	PROPN
iajs-1809	162	44	,	,	PUNCT
iajs-1809	162	45	ali	ali	PROPN
iajs-1809	162	46	,	,	PUNCT
iajs-1809	162	47	"	"	PUNCT
iajs-1809	162	48	comparison	comparison	NOUN
iajs-1809	162	49	of	of	ADP
iajs-1809	162	50	some	some	DET
iajs-1809	162	51	methods	method	NOUN
iajs-1809	162	52	to	to	PART
iajs-1809	162	53	estimate	estimate	VERB
iajs-1809	162	54	some	some	PRON
iajs-1809	162	55	of	of	ADP
iajs-1809	162	56	the	the	DET
iajs-1809	162	57	stress	stress	NOUN
iajs-1809	162	58	–	–	PUNCT
iajs-1809	162	59	strength	strength	NOUN
iajs-1809	162	60	lomax	lomax	PROPN
iajs-1809	162	61	models	model	NOUN
iajs-1809	162	62	"	"	PUNCT
iajs-1809	162	63	,	,	PUNCT
iajs-1809	162	64	m.sc	m.sc	PROPN
iajs-1809	162	65	.	.	PUNCT
iajs-1809	163	1	thesis	thesis	NOUN
iajs-1809	163	2	,	,	PUNCT
iajs-1809	163	3	al	al	PROPN
iajs-1809	163	4	-mustansiriya	-mustansiriya	PROPN
iajs-1809	163	5	university	university	NOUN
iajs-1809	163	6	,	,	PUNCT
iajs-1809	163	7	2013	2013	NUM
iajs-1809	163	8	.	.	PUNCT
iajs-1809	164	1	[	[	X
iajs-1809	164	2	3	3	NUM
iajs-1809	164	3	]	]	X
iajs-1809	164	4	m.	m.	NOUN
iajs-1809	164	5	,	,	PUNCT
iajs-1809	164	6	ali	ali	PROPN
iajs-1809	164	7	,	,	PUNCT
iajs-1809	164	8	;	;	PUNCT
iajs-1809	164	9	m.	m.	NOUN
iajs-1809	164	10	pal	pal	PROPN
iajs-1809	164	11	,	,	PUNCT
iajs-1809	164	12	&	&	CCONJ
iajs-1809	164	13	j.	j.	PROPN
iajs-1809	164	14	,	,	PUNCT
iajs-1809	164	15	woo	woo	PROPN
iajs-1809	164	16	,	,	PUNCT
iajs-1809	164	17	"	"	PUNCT
iajs-1809	164	18	estimation	estimation	NOUN
iajs-1809	164	19	of	of	ADP
iajs-1809	164	20	p(y	p(y	PROPN
iajs-1809	164	21	<	<	X
iajs-1809	164	22	x	x	X
iajs-1809	164	23	)	)	PUNCT
iajs-1809	164	24	in	in	ADP
iajs-1809	164	25	a	a	DET
iajs-1809	164	26	four	four	NUM
iajs-1809	164	27	-	-	PUNCT
iajs-1809	164	28	parameter	parameter	NOUN
iajs-1809	164	29	generalized	generalize	VERB
iajs-1809	164	30	gamma	gamma	NOUN
iajs-1809	164	31	distribution	distribution	NOUN
iajs-1809	164	32	"	"	PUNCT
iajs-1809	164	33	,	,	PUNCT
iajs-1809	164	34	austrian	austrian	ADJ
iajs-1809	164	35	journal	journal	NOUN
iajs-1809	164	36	of	of	ADP
iajs-1809	164	37	statistics	statistic	NOUN
iajs-1809	164	38	,	,	PUNCT
iajs-1809	164	39	41	41	NUM
iajs-1809	164	40	,	,	PUNCT
iajs-1809	164	41	3	3	NUM
iajs-1809	164	42	,	,	PUNCT
iajs-1809	164	43	197–210	197–210	NUM
iajs-1809	164	44	.	.	PUNCT
iajs-1809	164	45	2012	2012	NUM
iajs-1809	165	1	[	[	X
iajs-1809	165	2	4	4	NUM
iajs-1809	165	3	]	]	X
iajs-1809	165	4	a	a	PRON
iajs-1809	165	5	,	,	PUNCT
iajs-1809	165	6	n.	n.	PROPN
iajs-1809	165	7	,	,	PUNCT
iajs-1809	165	8	al	al	PROPN
iajs-1809	165	9	-	-	PUNCT
iajs-1809	165	10	joboori	joboori	NOUN
iajs-1809	165	11	,	,	PUNCT
iajs-1809	165	12	et	et	PROPN
iajs-1809	165	13	al	al	PROPN
iajs-1809	165	14	.	.	PROPN
iajs-1809	165	15	,	,	PUNCT
iajs-1809	165	16	"	"	PUNCT
iajs-1809	165	17	on	on	ADP
iajs-1809	165	18	shrunken	shrunken	ADJ
iajs-1809	165	19	estimation	estimation	NOUN
iajs-1809	165	20	of	of	ADP
iajs-1809	165	21	generalized	generalized	ADJ
iajs-1809	165	22	exponential	exponential	ADJ
iajs-1809	165	23	distribution	distribution	NOUN
iajs-1809	165	24	"	"	PUNCT
iajs-1809	165	25	,	,	PUNCT
iajs-1809	165	26	journal	journal	NOUN
iajs-1809	165	27	of	of	ADP
iajs-1809	165	28	economics	economic	NOUN
iajs-1809	165	29	and	and	CCONJ
iajs-1809	165	30	administrative	administrative	ADJ
iajs-1809	165	31	sciences,.17,.1	sciences,.17,.1	PROPN
iajs-1809	165	32	-	-	PUNCT
iajs-1809	165	33	8	8	NUM
iajs-1809	165	34	.	.	PUNCT
iajs-1809	165	35	2011	2011	NUM
iajs-1809	166	1	[	[	X
iajs-1809	166	2	5	5	NUM
iajs-1809	166	3	]	]	X
iajs-1809	166	4	a.n	a.n	PROPN
iajs-1809	166	5	.	.	PROPN
iajs-1809	166	6	,	,	PUNCT
iajs-1809	166	7	al	al	PROPN
iajs-1809	166	8	-	-	PUNCT
iajs-1809	166	9	joboori	joboori	NOUN
iajs-1809	166	10	,	,	PUNCT
iajs-1809	166	11	et	et	PROPN
iajs-1809	166	12	al	al	PROPN
iajs-1809	166	13	.	.	PROPN
iajs-1809	166	14	,	,	PUNCT
iajs-1809	166	15	"	"	PUNCT
iajs-1809	166	16	single	single	ADJ
iajs-1809	166	17	and	and	CCONJ
iajs-1809	166	18	double	double	ADJ
iajs-1809	166	19	stage	stage	NOUN
iajs-1809	166	20	shrinkage	shrinkage	NOUN
iajs-1809	166	21	estimators	estimator	NOUN
iajs-1809	166	22	for	for	ADP
iajs-1809	166	23	the	the	DET
iajs-1809	166	24	normal	normal	ADJ
iajs-1809	166	25	mean	mean	NOUN
iajs-1809	166	26	with	with	ADP
iajs-1809	166	27	the	the	DET
iajs-1809	166	28	variance	variance	NOUN
iajs-1809	166	29	cases	case	NOUN
iajs-1809	166	30	"	"	PUNCT
iajs-1809	166	31	,	,	PUNCT
iajs-1809	166	32	international	international	ADJ
iajs-1809	166	33	journal	journal	NOUN
iajs-1809	166	34	of	of	ADP
iajs-1809	166	35	statistic	statistic	NOUN
iajs-1809	166	36	,	,	PUNCT
iajs-1809	166	37	38	38	NUM
iajs-1809	166	38	,	,	PUNCT
iajs-1809	166	39	2,.1127	2,.1127	NOUN
iajs-1809	166	40	-	-	PUNCT
iajs-1809	166	41	1134	1134	NUM
iajs-1809	166	42	.	.	PUNCT
iajs-1809	167	1	2014	2014	NUM
iajs-1809	168	1	[	[	X
iajs-1809	168	2	6	6	NUM
iajs-1809	168	3	]	]	X
iajs-1809	168	4	g.k	g.k	PROPN
iajs-1809	168	5	.	.	PROPN
iajs-1809	168	6	bhattacharyya	bhattacharyya	PROPN
iajs-1809	168	7	,	,	PUNCT
iajs-1809	168	8	and	and	CCONJ
iajs-1809	168	9	r.	r.	PROPN
iajs-1809	168	10	a.johnson	a.johnson	PROPN
iajs-1809	168	11	,	,	PUNCT
iajs-1809	168	12	,	,	PUNCT
iajs-1809	168	13	"	"	PUNCT
iajs-1809	168	14	estimation	estimation	NOUN
iajs-1809	168	15	of	of	ADP
iajs-1809	168	16	reliability	reliability	NOUN
iajs-1809	168	17	in	in	ADP
iajs-1809	168	18	a	a	DET
iajs-1809	168	19	multicomponent	multicomponent	NOUN
iajs-1809	168	20	stress	stress	NOUN
iajs-1809	168	21	-	-	PUNCT
iajs-1809	168	22	strength	strength	NOUN
iajs-1809	168	23	model	model	NOUN
iajs-1809	168	24	"	"	PUNCT
iajs-1809	168	25	,	,	PUNCT
iajs-1809	168	26	journal	journal	NOUN
iajs-1809	168	27	of	of	ADP
iajs-1809	168	28	the	the	DET
iajs-1809	168	29	american	american	PROPN
iajs-1809	168	30	statistical	statistical	PROPN
iajs-1809	168	31	association,.69	association,.69	PROPN
iajs-1809	168	32	,	,	PUNCT
iajs-1809	168	33	348	348	NUM
iajs-1809	168	34	.	.	PUNCT
iajs-1809	169	1	1974	1974	NUM
iajs-1809	169	2	[	[	X
iajs-1809	169	3	7	7	X
iajs-1809	169	4	]	]	PUNCT
iajs-1809	169	5	m.	m.	PROPN
iajs-1809	169	6	e.	e.	PROPN
iajs-1809	169	7	,ghitany	,ghitany	PROPN
iajs-1809	169	8	;	;	PUNCT
iajs-1809	169	9	d.	d.	PROPN
iajs-1809	169	10	k.	k.	PROPN
iajs-1809	169	11	al	al	PROPN
iajs-1809	169	12	-	-	PUNCT
iajs-1809	169	13	mutairi	mutairi	PROPN
iajs-1809	169	14	,	,	PUNCT
iajs-1809	169	15	&	&	CCONJ
iajs-1809	169	16	s.	s.	PROPN
iajs-1809	169	17	m.	m.	PROPN
iajs-1809	169	18	aboukhamseen	aboukhamseen	PROPN
iajs-1809	169	19	,	,	PUNCT
iajs-1809	169	20	,	,	PUNCT
iajs-1809	169	21	‘	'	PUNCT
iajs-1809	169	22	estimation	estimation	NOUN
iajs-1809	169	23	of	of	ADP
iajs-1809	169	24	the	the	DET
iajs-1809	169	25	reliability	reliability	NOUN
iajs-1809	169	26	of	of	ADP
iajs-1809	169	27	a	a	DET
iajs-1809	169	28	stress	stress	NOUN
iajs-1809	169	29	-	-	PUNCT
iajs-1809	169	30	strength	strength	NOUN
iajs-1809	169	31	system	system	NOUN
iajs-1809	169	32	from	from	ADP
iajs-1809	169	33	power	power	NOUN
iajs-1809	169	34	lindley	lindley	PROPN
iajs-1809	169	35	distributions	distribution	NOUN
iajs-1809	169	36	’	'	PUNCT
iajs-1809	169	37	,	,	PUNCT
iajs-1809	169	38	communications	communication	NOUN
iajs-1809	169	39	in	in	ADP
iajs-1809	169	40	statistics	statistic	NOUN
iajs-1809	169	41	-	-	PUNCT
iajs-1809	169	42	simulation	simulation	NOUN
iajs-1809	169	43	and	and	CCONJ
iajs-1809	169	44	computation	computation	NOUN
iajs-1809	169	45	,	,	PUNCT
iajs-1809	169	46	44	44	NUM
iajs-1809	169	47	,	,	PUNCT
iajs-1809	169	48	118–136	118–136	NUM
iajs-1809	169	49	.	.	PUNCT
iajs-1809	169	50	2015	2015	NUM
iajs-1809	170	1	[	[	SYM
iajs-1809	170	2	8	8	NUM
iajs-1809	170	3	]	]	X
iajs-1809	170	4	d.d	d.d	PROPN
iajs-1809	170	5	.	.	PROPN
iajs-1809	170	6	hanagal	hanagal	PROPN
iajs-1809	170	7	,	,	PUNCT
iajs-1809	170	8	“	"	PUNCT
iajs-1809	170	9	estimation	estimation	NOUN
iajs-1809	170	10	of	of	ADP
iajs-1809	170	11	system	system	NOUN
iajs-1809	170	12	reliability	reliability	NOUN
iajs-1809	170	13	”	"	PUNCT
iajs-1809	170	14	,	,	PUNCT
iajs-1809	170	15	statistical	statistical	ADJ
iajs-1809	170	16	papers	paper	NOUN
iajs-1809	170	17	,	,	PUNCT
iajs-1809	170	18	40	40	NUM
iajs-1809	170	19	(	(	PUNCT
iajs-1809	170	20	1	1	NUM
iajs-1809	170	21	)	)	PUNCT
iajs-1809	170	22	,	,	PUNCT
iajs-1809	170	23	99106	99106	NUM
iajs-1809	170	24	.	.	PUNCT
iajs-1809	171	1	1999	1999	NUM
iajs-1809	172	1	[	[	X
iajs-1809	172	2	9	9	NUM
iajs-1809	172	3	]	]	X
iajs-1809	172	4	a.s	a.s	PROPN
iajs-1809	172	5	.	.	PROPN
iajs-1809	172	6	hassan	hassan	PROPN
iajs-1809	172	7	,	,	PUNCT
iajs-1809	172	8	and	and	CCONJ
iajs-1809	172	9	h.m.basheikh	h.m.basheikh	NOUN
iajs-1809	172	10	,	,	PUNCT
iajs-1809	172	11	,	,	PUNCT
iajs-1809	172	12	"	"	PUNCT
iajs-1809	172	13	reliability	reliability	NOUN
iajs-1809	172	14	estimation	estimation	NOUN
iajs-1809	172	15	of	of	ADP
iajs-1809	172	16	stress	stress	NOUN
iajs-1809	172	17	-	-	PUNCT
iajs-1809	172	18	strength	strength	NOUN
iajs-1809	172	19	model	model	NOUN
iajs-1809	172	20	with	with	ADP
iajs-1809	172	21	non	non	ADJ
iajs-1809	172	22	-	-	ADJ
iajs-1809	172	23	identical	identical	ADJ
iajs-1809	172	24	component	component	NOUN
iajs-1809	172	25	strengths	strength	NOUN
iajs-1809	172	26	:	:	PUNCT
iajs-1809	172	27	the	the	DET
iajs-1809	172	28	exponentiated	exponentiated	ADJ
iajs-1809	172	29	pareto	pareto	NOUN
iajs-1809	172	30	case	case	NOUN
iajs-1809	172	31	"	"	PUNCT
iajs-1809	172	32	,	,	PUNCT
iajs-1809	172	33	international	international	ADJ
iajs-1809	172	34	journal	journal	NOUN
iajs-1809	172	35	of	of	ADP
iajs-1809	172	36	engineering	engineering	NOUN
iajs-1809	172	37	research	research	NOUN
iajs-1809	172	38	and	and	CCONJ
iajs-1809	172	39	applications	application	NOUN
iajs-1809	172	40	(	(	PUNCT
iajs-1809	172	41	ijera	ijera	NOUN
iajs-1809	172	42	)	)	PUNCT
iajs-1809	172	43	,	,	PUNCT
iajs-1809	172	44	2	2	NUM
iajs-1809	172	45	,	,	PUNCT
iajs-1809	172	46	3	3	NUM
iajs-1809	172	47	,	,	PUNCT
iajs-1809	172	48	2774	2774	NUM
iajs-1809	172	49	-	-	SYM
iajs-1809	172	50	2781	2781	NUM
iajs-1809	172	51	.	.	PUNCT
iajs-1809	173	1	2012	2012	NUM
iajs-1809	173	2	[	[	X
iajs-1809	173	3	10	10	NUM
iajs-1809	173	4	]	]	X
iajs-1809	173	5	m.k	m.k	PROPN
iajs-1809	173	6	.	.	PUNCT
iajs-1809	174	1	hassan	hassan	PROPN
iajs-1809	174	2	,	,	PUNCT
iajs-1809	174	3	"	"	PUNCT
iajs-1809	174	4	estimation	estimation	NOUN
iajs-1809	174	5	a	a	DET
iajs-1809	174	6	stress	stress	NOUN
iajs-1809	174	7	-	-	PUNCT
iajs-1809	174	8	strength	strength	NOUN
iajs-1809	174	9	model	model	NOUN
iajs-1809	174	10	for	for	ADP
iajs-1809	174	11	p(yr	p(yr	NOUN
iajs-1809	174	12	:	:	PUNCT
iajs-1809	174	13	n1	n1	PROPN
iajs-1809	174	14	<	<	PROPN
iajs-1809	174	15	xk	xk	ADJ
iajs-1809	174	16	:	:	NOUN
iajs-1809	174	17	n2	n2	ADJ
iajs-1809	174	18	)	)	PUNCT
iajs-1809	174	19	using	use	VERB
iajs-1809	174	20	the	the	DET
iajs-1809	174	21	lindly	lindly	ADJ
iajs-1809	174	22	distribution	distribution	NOUN
iajs-1809	174	23	"	"	PUNCT
iajs-1809	174	24	,	,	PUNCT
iajs-1809	174	25	revista	revista	PROPN
iajs-1809	174	26	colombiana	colombiana	PROPN
iajs-1809	174	27	de	de	ADP
iajs-1809	174	28	estadistica,.40.1,.105	estadistica,.40.1,.105	PROPN
iajs-1809	174	29	-	-	SYM
iajs-1809	174	30	121	121	NUM
iajs-1809	174	31	.	.	PUNCT
iajs-1809	174	32	2017	2017	NUM
iajs-1809	174	33	ihsciconf	ihsciconf	PROPN
iajs-1809	174	34	2017	2017	NUM
iajs-1809	174	35	special	special	ADJ
iajs-1809	174	36	issue	issue	NOUN
iajs-1809	174	37	ibn	ibn	PROPN
iajs-1809	174	38	al	al	PROPN
iajs-1809	174	39	-	-	PUNCT
iajs-1809	174	40	haitham	haitham	PROPN
iajs-1809	174	41	journal	journal	PROPN
iajs-1809	174	42	for	for	ADP
iajs-1809	174	43	pure	pure	ADJ
iajs-1809	174	44	and	and	CCONJ
iajs-1809	174	45	applied	apply	VERB
iajs-1809	174	46	science	science	NOUN
iajs-1809	174	47	https://doi.org/	https://doi.org/	NOUN
iajs-1809	174	48	10.30526/2017.ihsciconf.1809	10.30526/2017.ihsciconf.1809	NUM
iajs-1809	174	49	for	for	ADP
iajs-1809	174	50	more	more	ADJ
iajs-1809	174	51	information	information	NOUN
iajs-1809	174	52	about	about	ADP
iajs-1809	174	53	the	the	DET
iajs-1809	174	54	conference	conference	NOUN
iajs-1809	174	55	please	please	INTJ
iajs-1809	174	56	visit	visit	VERB
iajs-1809	174	57	the	the	DET
iajs-1809	174	58	websites	website	NOUN
iajs-1809	174	59	:	:	PUNCT
iajs-1809	175	1	http://www.ihsciconf.org/conf/	http://www.ihsciconf.org/conf/	VERB
iajs-1809	175	2	   	   	SPACE
iajs-1809	175	3	www.ihsciconf.org	www.ihsciconf.org	ADJ
iajs-1809	175	4	   	   	SPACE
iajs-1809	175	5	mathematics|377	mathematics|377	VERB
iajs-1809	175	6	    	    	SPACE
iajs-1809	175	7	[	[	PUNCT
iajs-1809	175	8	11	11	NUM
iajs-1809	175	9	]	]	PUNCT
iajs-1809	175	10	m.	m.	NOUN
iajs-1809	175	11	a.	a.	PROPN
iajs-1809	175	12	,	,	PUNCT
iajs-1809	175	13	hussian	hussian	NOUN
iajs-1809	175	14	,	,	PUNCT
iajs-1809	175	15	"	"	PUNCT
iajs-1809	175	16	on	on	ADP
iajs-1809	175	17	estimation	estimation	NOUN
iajs-1809	175	18	of	of	ADP
iajs-1809	175	19	a	a	DET
iajs-1809	175	20	stress	stress	NOUN
iajs-1809	175	21	-	-	PUNCT
iajs-1809	175	22	strength	strength	NOUN
iajs-1809	175	23	model	model	NOUN
iajs-1809	175	24	for	for	ADP
iajs-1809	175	25	generalized	generalized	ADJ
iajs-1809	175	26	inverted	inverted	ADJ
iajs-1809	175	27	exponential	exponential	ADJ
iajs-1809	175	28	distribution	distribution	NOUN
iajs-1809	175	29	"	"	PUNCT
iajs-1809	175	30	,	,	PUNCT
iajs-1809	175	31	journal	journal	NOUN
iajs-1809	175	32	of	of	ADP
iajs-1809	175	33	reliability	reliability	NOUN
iajs-1809	175	34	and	and	CCONJ
iajs-1809	175	35	statistical	statistical	ADJ
iajs-1809	175	36	studies	study	NOUN
iajs-1809	175	37	,	,	PUNCT
iajs-1809	175	38	6	6	NUM
iajs-1809	175	39	,	,	PUNCT
iajs-1809	175	40	2	2	NUM
iajs-1809	175	41	,	,	PUNCT
iajs-1809	175	42	55–63	55–63	NUM
iajs-1809	175	43	.	.	PUNCT
iajs-1809	175	44	2013	2013	NUM
iajs-1809	176	1	[	[	X
iajs-1809	176	2	12	12	NUM
iajs-1809	176	3	]	]	PUNCT
iajs-1809	176	4	h.	h.	PROPN
iajs-1809	176	5	h.	h.	PROPN
iajs-1809	176	6	,	,	PUNCT
iajs-1809	176	7	jani	jani	PROPN
iajs-1809	176	8	,	,	PUNCT
iajs-1809	176	9	“	"	PUNCT
iajs-1809	176	10	reliability	reliability	NOUN
iajs-1809	176	11	of	of	ADP
iajs-1809	176	12	some	some	DET
iajs-1809	176	13	multicomponent	multicomponent	ADJ
iajs-1809	176	14	stress	stress	NOUN
iajs-1809	176	15	-	-	PUNCT
iajs-1809	176	16	strength	strength	NOUN
iajs-1809	176	17	models	model	NOUN
iajs-1809	176	18	with	with	ADP
iajs-1809	176	19	empirical	empirical	ADJ
iajs-1809	176	20	studies	study	NOUN
iajs-1809	176	21	”	"	PUNCT
iajs-1809	176	22	,	,	PUNCT
iajs-1809	176	23	m.sc	m.sc	PROPN
iajs-1809	176	24	.	.	PUNCT
iajs-1809	177	1	thesis	thesis	PROPN
iajs-1809	177	2	,	,	PUNCT
iajs-1809	177	3	al	al	PROPN
iajs-1809	177	4	-mustansiriya	-mustansiriya	PROPN
iajs-1809	177	5	university	university	NOUN
iajs-1809	177	6	,	,	PUNCT
iajs-1809	177	7	2015	2015	NUM
iajs-1809	177	8	[	[	X
iajs-1809	177	9	13	13	NUM
iajs-1809	177	10	]	]	X
iajs-1809	177	11	n.s	n.s	PROPN
iajs-1809	177	12	.	.	PROPN
iajs-1809	177	13	karam	karam	PROPN
iajs-1809	177	14	,	,	PUNCT
iajs-1809	177	15	&	&	CCONJ
iajs-1809	177	16	h.g	h.g	PROPN
iajs-1809	177	17	.	.	PROPN
iajs-1809	177	18	,	,	PUNCT
iajs-1809	177	19	ramk	ramk	VERB
iajs-1809	177	20	,	,	PUNCT
iajs-1809	177	21	"	"	PUNCT
iajs-1809	177	22	reliability	reliability	NOUN
iajs-1809	177	23	estimation	estimation	NOUN
iajs-1809	177	24	for	for	ADP
iajs-1809	177	25	a	a	DET
iajs-1809	177	26	component	component	NOUN
iajs-1809	177	27	exposed	expose	VERB
iajs-1809	177	28	tow	tow	NOUN
iajs-1809	177	29	,	,	PUNCT
iajs-1809	177	30	three	three	NUM
iajs-1809	177	31	independent	independent	ADJ
iajs-1809	177	32	stresses	stress	NOUN
iajs-1809	177	33	based	base	VERB
iajs-1809	177	34	on	on	ADP
iajs-1809	177	35	weibull	weibull	NOUN
iajs-1809	177	36	and	and	CCONJ
iajs-1809	177	37	inverse	inverse	ADJ
iajs-1809	177	38	lindly	lindly	ADJ
iajs-1809	177	39	distribution	distribution	NOUN
iajs-1809	177	40	"	"	PUNCT
iajs-1809	177	41	,	,	PUNCT
iajs-1809	177	42	mathematical	mathematical	ADJ
iajs-1809	177	43	theory	theory	NOUN
iajs-1809	177	44	and	and	CCONJ
iajs-1809	177	45	modeling	modeling	NOUN
iajs-1809	177	46	,	,	PUNCT
iajs-1809	177	47	6	6	NUM
iajs-1809	177	48	,	,	PUNCT
iajs-1809	177	49	8,.2225	8,.2225	PROPN
iajs-1809	177	50	-	-	PUNCT
iajs-1809	177	51	0522	0522	NUM
iajs-1809	177	52	.	.	PUNCT
iajs-1809	178	1	2016	2016	NUM
iajs-1809	179	1	[	[	X
iajs-1809	179	2	14	14	NUM
iajs-1809	179	3	]	]	X
iajs-1809	179	4	kroese	kroese	PROPN
iajs-1809	179	5	,	,	PUNCT
iajs-1809	179	6	d.	d.	PROPN
iajs-1809	179	7	p.	p.	PROPN
iajs-1809	179	8	,	,	PUNCT
iajs-1809	179	9	taimre	taimre	PROPN
iajs-1809	179	10	,	,	PUNCT
iajs-1809	179	11	t.	t.	PROPN
iajs-1809	179	12	,	,	PUNCT
iajs-1809	179	13	and	and	CCONJ
iajs-1809	179	14	buter	buter	PROPN
iajs-1809	179	15	,	,	PUNCT
iajs-1809	179	16	z.	z.	PROPN
iajs-1809	179	17	i.	i.	PROPN
iajs-1809	179	18	,	,	PUNCT
iajs-1809	179	19	"	"	PUNCT
iajs-1809	179	20	handbook	handbook	NOUN
iajs-1809	179	21	of	of	ADP
iajs-1809	179	22	conte	conte	PROPN
iajs-1809	179	23	carlo	carlo	PROPN
iajs-1809	179	24	methods	method	NOUN
iajs-1809	179	25	"	"	PUNCT
iajs-1809	179	26	,	,	PUNCT
iajs-1809	179	27	john	john	PROPN
iajs-1809	179	28	wiley	wiley	PROPN
iajs-1809	179	29	&	&	CCONJ
iajs-1809	179	30	sons	sons	PROPN
iajs-1809	179	31	;	;	PUNCT
iajs-1809	179	32	inc	inc	PROPN
iajs-1809	179	33	,	,	PUNCT
iajs-1809	179	34	(	(	PUNCT
iajs-1809	179	35	2011	2011	NUM
iajs-1809	179	36	)	)	PUNCT
iajs-1809	179	37	.	.	PUNCT
iajs-1809	180	1	[	[	X
iajs-1809	180	2	15	15	NUM
iajs-1809	180	3	]	]	X
iajs-1809	180	4	g.	g.	PROPN
iajs-1809	180	5	s.	s.	PROPN
iajs-1809	180	6	mudholkar	mudholkar	PROPN
iajs-1809	180	7	,	,	PUNCT
iajs-1809	180	8	and	and	CCONJ
iajs-1809	180	9	a.	a.	PROPN
iajs-1809	180	10	d.	d.	PROPN
iajs-1809	180	11	,	,	PUNCT
iajs-1809	180	12	hutson	hutson	PROPN
iajs-1809	180	13	,	,	PUNCT
iajs-1809	180	14	"	"	PUNCT
iajs-1809	180	15	the	the	DET
iajs-1809	180	16	exponentiated	exponentiated	ADJ
iajs-1809	180	17	weibull	weibull	PROPN
iajs-1809	180	18	family	family	NOUN
iajs-1809	180	19	:	:	PUNCT
iajs-1809	180	20	some	some	DET
iajs-1809	180	21	properties	property	NOUN
iajs-1809	180	22	and	and	CCONJ
iajs-1809	180	23	a	a	DET
iajs-1809	180	24	flood	flood	NOUN
iajs-1809	180	25	data	datum	NOUN
iajs-1809	180	26	application	application	NOUN
iajs-1809	180	27	"	"	PUNCT
iajs-1809	180	28	.	.	PUNCT
iajs-1809	181	1	communications	communication	NOUN
iajs-1809	181	2	statistics	statistic	NOUN
iajs-1809	181	3	—	—	PUNCT
iajs-1809	181	4	theory	theory	NOUN
iajs-1809	181	5	and	and	CCONJ
iajs-1809	181	6	methods	method	NOUN
iajs-1809	181	7	,	,	PUNCT
iajs-1809	181	8	,	,	PUNCT
iajs-1809	181	9	.25	.25	NUM
iajs-1809	181	10	,	,	PUNCT
iajs-1809	181	11	3059–3083	3059–3083	NUM
iajs-1809	181	12	.	.	PUNCT
iajs-1809	181	13	1996	1996	NUM
iajs-1809	182	1	[	[	X
iajs-1809	182	2	16	16	NUM
iajs-1809	182	3	]	]	X
iajs-1809	182	4	g.	g.	PROPN
iajs-1809	182	5	s.	s.	PROPN
iajs-1809	182	6	mudholkar	mudholkar	PROPN
iajs-1809	182	7	,	,	PUNCT
iajs-1809	182	8	and	and	CCONJ
iajs-1809	182	9	d.	d.	PROPN
iajs-1809	182	10	k.srivastava	k.srivastava	PROPN
iajs-1809	182	11	,	,	PUNCT
iajs-1809	182	12	"	"	PUNCT
iajs-1809	182	13	exponentiated	exponentiate	VERB
iajs-1809	182	14	weibull	weibull	PROPN
iajs-1809	182	15	family	family	NOUN
iajs-1809	182	16	for	for	ADP
iajs-1809	182	17	analyzing	analyze	VERB
iajs-1809	182	18	bathtub	bathtub	ADJ
iajs-1809	182	19	failure	failure	NOUN
iajs-1809	182	20	-	-	PUNCT
iajs-1809	182	21	real	real	ADJ
iajs-1809	182	22	data	datum	NOUN
iajs-1809	182	23	"	"	PUNCT
iajs-1809	182	24	,	,	PUNCT
iajs-1809	182	25	ieee	ieee	NOUN
iajs-1809	182	26	transaction	transaction	NOUN
iajs-1809	182	27	reliability	reliability	NOUN
iajs-1809	182	28	,	,	PUNCT
iajs-1809	182	29	42	42	NUM
iajs-1809	182	30	,	,	PUNCT
iajs-1809	182	31	299–302	299–302	NUM
iajs-1809	182	32	.	.	PUNCT
iajs-1809	182	33	1993	1993	NUM
iajs-1809	183	1	[	[	X
iajs-1809	183	2	17	17	NUM
iajs-1809	183	3	]	]	X
iajs-1809	183	4	g.	g.	PROPN
iajs-1809	183	5	s.	s.	PROPN
iajs-1809	183	6	,	,	PUNCT
iajs-1809	183	7	mudholkar	mudholkar	PROPN
iajs-1809	183	8	;	;	PUNCT
iajs-1809	183	9	d.	d.	PROPN
iajs-1809	183	10	k.	k.	PROPN
iajs-1809	183	11	srivastava	srivastava	PROPN
iajs-1809	183	12	,	,	PUNCT
iajs-1809	183	13	and	and	CCONJ
iajs-1809	183	14	m.	m.	NOUN
iajs-1809	183	15	freimes	freime	NOUN
iajs-1809	183	16	,	,	PUNCT
iajs-1809	183	17	,	,	PUNCT
iajs-1809	183	18	"	"	PUNCT
iajs-1809	183	19	the	the	DET
iajs-1809	183	20	exponentiated	exponentiated	ADJ
iajs-1809	183	21	weibull	weibull	PROPN
iajs-1809	183	22	family	family	PROPN
iajs-1809	183	23	:	:	PUNCT
iajs-1809	183	24	a	a	DET
iajs-1809	183	25	reanalysis	reanalysis	NOUN
iajs-1809	183	26	of	of	ADP
iajs-1809	183	27	the	the	DET
iajs-1809	183	28	bus	bus	NOUN
iajs-1809	183	29	-	-	PUNCT
iajs-1809	183	30	motor	motor	NOUN
iajs-1809	183	31	-	-	PUNCT
iajs-1809	183	32	failure	failure	NOUN
iajs-1809	183	33	data	datum	NOUN
iajs-1809	183	34	"	"	PUNCT
iajs-1809	183	35	,	,	PUNCT
iajs-1809	183	36	technometrics	technometric	NOUN
iajs-1809	183	37	,	,	PUNCT
iajs-1809	183	38	37	37	NUM
iajs-1809	183	39	,	,	PUNCT
iajs-1809	183	40	436–445	436–445	NUM
iajs-1809	183	41	.	.	PUNCT
iajs-1809	183	42	1995	1995	NUM
iajs-1809	184	1	[	[	X
iajs-1809	184	2	18	18	NUM
iajs-1809	184	3	]	]	X
iajs-1809	184	4	h.	h.	NOUN
iajs-1809	184	5	najarzadegan	najarzadegan	PROPN
iajs-1809	184	6	;	;	PUNCT
iajs-1809	184	7	s.	s.	PROPN
iajs-1809	184	8	babaii	babaii	PROPN
iajs-1809	184	9	;	;	PUNCT
iajs-1809	184	10	s.	s.	PROPN
iajs-1809	184	11	rezaei	rezaei	PROPN
iajs-1809	184	12	,	,	PUNCT
iajs-1809	184	13	&	&	CCONJ
iajs-1809	184	14	s.	s.	PROPN
iajs-1809	184	15	nadarajah	nadarajah	PROPN
iajs-1809	184	16	,	,	PUNCT
iajs-1809	184	17	‘	'	PUNCT
iajs-1809	184	18	estimation	estimation	NOUN
iajs-1809	184	19	of	of	ADP
iajs-1809	184	20	p(y	p(y	PROPN
iajs-1809	184	21	<	<	X
iajs-1809	184	22	x	x	X
iajs-1809	184	23	)	)	PUNCT
iajs-1809	184	24	for	for	ADP
iajs-1809	184	25	the	the	DET
iajs-1809	184	26	levy	levy	NOUN
iajs-1809	184	27	distribution	distribution	NOUN
iajs-1809	184	28	’	'	PUNCT
iajs-1809	184	29	,	,	PUNCT
iajs-1809	184	30	hacettepe	hacettepe	ADJ
iajs-1809	184	31	bulletin	bulletin	NOUN
iajs-1809	184	32	of	of	ADP
iajs-1809	184	33	natural	natural	ADJ
iajs-1809	184	34	sciences	science	NOUN
iajs-1809	184	35	and	and	CCONJ
iajs-1809	184	36	engineering	engineering	NOUN
iajs-1809	184	37	,	,	PUNCT
iajs-1809	184	38	45(3	45(3	NUM
iajs-1809	184	39	)	)	PUNCT
iajs-1809	184	40	957	957	NUM
iajs-1809	184	41	–	–	PUNCT
iajs-1809	184	42	972	972	NUM
iajs-1809	184	43	.	.	NOUN
iajs-1809	184	44	2016	2016	NUM
iajs-1809	185	1	[	[	X
iajs-1809	185	2	19	19	NUM
iajs-1809	185	3	]	]	PUNCT
iajs-1809	185	4	m.	m.	NOUN
iajs-1809	185	5	m.	m.	NOUN
iajs-1809	185	6	,	,	PUNCT
iajs-1809	185	7	nassar	nassar	PROPN
iajs-1809	185	8	,	,	PUNCT
iajs-1809	185	9	and	and	CCONJ
iajs-1809	185	10	f.	f.	PROPN
iajs-1809	185	11	h.	h.	PROPN
iajs-1809	185	12	,eissa	,eissa	PROPN
iajs-1809	185	13	,	,	PUNCT
iajs-1809	185	14	"	"	PUNCT
iajs-1809	185	15	on	on	ADP
iajs-1809	185	16	the	the	DET
iajs-1809	185	17	exponentiated	exponentiated	ADJ
iajs-1809	185	18	weibull	weibull	NOUN
iajs-1809	185	19	distribution	distribution	NOUN
iajs-1809	185	20	"	"	PUNCT
iajs-1809	185	21	,	,	PUNCT
iajs-1809	185	22	communications	communication	NOUN
iajs-1809	185	23	in	in	ADP
iajs-1809	185	24	statistics	statistic	NOUN
iajs-1809	185	25	—	—	PUNCT
iajs-1809	185	26	theory	theory	NOUN
iajs-1809	185	27	and	and	CCONJ
iajs-1809	185	28	methods	method	NOUN
iajs-1809	185	29	,	,	PUNCT
iajs-1809	185	30	32	32	NUM
iajs-1809	185	31	,	,	PUNCT
iajs-1809	185	32	1317–1333	1317–1333	NUM
iajs-1809	185	33	.	.	PUNCT
iajs-1809	185	34	2003	2003	NUM
iajs-1809	186	1	[	[	X
iajs-1809	186	2	20	20	NUM
iajs-1809	186	3	]	]	PUNCT
iajs-1809	186	4	m.	m.	NOUN
iajs-1809	186	5	pal	pal	NOUN
iajs-1809	186	6	;	;	PUNCT
iajs-1809	186	7	m.	m.	NOUN
iajs-1809	186	8	m.	m.	PROPN
iajs-1809	186	9	ali	ali	PROPN
iajs-1809	186	10	,	,	PUNCT
iajs-1809	186	11	and	and	CCONJ
iajs-1809	186	12	j.	j.	PROPN
iajs-1809	186	13	woo	woo	PROPN
iajs-1809	186	14	,	,	PUNCT
iajs-1809	186	15	"	"	PUNCT
iajs-1809	186	16	exponentiated	exponentiate	VERB
iajs-1809	186	17	weibull	weibull	NOUN
iajs-1809	186	18	distribution	distribution	NOUN
iajs-1809	186	19	"	"	PUNCT
iajs-1809	186	20	.	.	PUNCT
iajs-1809	186	21	statistic,66	statistic,66	NOUN
iajs-1809	186	22	,	,	PUNCT
iajs-1809	186	23	139–147	139–147	NUM
iajs-1809	186	24	.	.	PUNCT
iajs-1809	187	1	2006	2006	NUM
iajs-1809	187	2	[	[	X
iajs-1809	187	3	21	21	NUM
iajs-1809	187	4	]	]	X
iajs-1809	187	5	g.s	g.s	PROPN
iajs-1809	187	6	.	.	PROPN
iajs-1809	187	7	rao	rao	PROPN
iajs-1809	187	8	,	,	PUNCT
iajs-1809	187	9	and	and	CCONJ
iajs-1809	187	10	r.	r.	PROPN
iajs-1809	187	11	,	,	PUNCT
iajs-1809	187	12	kantam	kantam	NOUN
iajs-1809	187	13	,	,	PUNCT
iajs-1809	187	14	"	"	PUNCT
iajs-1809	187	15	estimation	estimation	NOUN
iajs-1809	187	16	of	of	ADP
iajs-1809	187	17	reliability	reliability	NOUN
iajs-1809	187	18	in	in	ADP
iajs-1809	187	19	multicomponent	multicomponent	NOUN
iajs-1809	187	20	stressstrength	stressstrength	NOUN
iajs-1809	187	21	model	model	NOUN
iajs-1809	187	22	:	:	PUNCT
iajs-1809	187	23	log	log	NOUN
iajs-1809	187	24	-	-	PUNCT
iajs-1809	187	25	logistic	logistic	ADJ
iajs-1809	187	26	distribution	distribution	NOUN
iajs-1809	187	27	"	"	PUNCT
iajs-1809	187	28	,	,	PUNCT
iajs-1809	187	29	electronic	electronic	ADJ
iajs-1809	187	30	journal	journal	NOUN
iajs-1809	187	31	of	of	ADP
iajs-1809	187	32	applied	apply	VERB
iajs-1809	187	33	statistical	statistical	ADJ
iajs-1809	187	34	analysis	analysis	NOUN
iajs-1809	187	35	(	(	PUNCT
iajs-1809	187	36	ejasa	ejasa	PROPN
iajs-1809	187	37	)	)	PUNCT
iajs-1809	187	38	,	,	PUNCT
iajs-1809	187	39	3	3	NUM
iajs-1809	187	40	,	,	PUNCT
iajs-1809	187	41	2	2	NUM
iajs-1809	187	42	,	,	PUNCT
iajs-1809	187	43	75	75	NUM
iajs-1809	187	44	-	-	SYM
iajs-1809	187	45	84	84	NUM
iajs-1809	187	46	.	.	PUNCT
iajs-1809	188	1	2010	2010	NUM
iajs-1809	189	1	[	[	X
iajs-1809	189	2	22	22	NUM
iajs-1809	189	3	]	]	X
iajs-1809	189	4	g.s	g.s	PROPN
iajs-1809	189	5	.	.	PROPN
iajs-1809	189	6	,	,	PUNCT
iajs-1809	189	7	rao	rao	PROPN
iajs-1809	189	8	;	;	PUNCT
iajs-1809	189	9	m.	m.	NOUN
iajs-1809	189	10	aslam	aslam	PROPN
iajs-1809	189	11	and	and	CCONJ
iajs-1809	189	12	arif	arif	PROPN
iajs-1809	189	13	,	,	PUNCT
iajs-1809	189	14	o.h	o.h	PROPN
iajs-1809	189	15	.	.	PROPN
iajs-1809	189	16	,	,	PUNCT
iajs-1809	189	17	"	"	PUNCT
iajs-1809	189	18	estimation	estimation	NOUN
iajs-1809	189	19	of	of	ADP
iajs-1809	189	20	reliability	reliability	NOUN
iajs-1809	189	21	in	in	ADP
iajs-1809	189	22	multi	multi	ADJ
iajs-1809	189	23	-	-	ADJ
iajs-1809	189	24	component	component	ADJ
iajs-1809	189	25	stress	stress	NOUN
iajs-1809	189	26	-	-	PUNCT
iajs-1809	189	27	strength	strength	NOUN
iajs-1809	189	28	based	base	VERB
iajs-1809	189	29	on	on	ADP
iajs-1809	189	30	two	two	NUM
iajs-1809	189	31	parameter	parameter	NOUN
iajs-1809	189	32	exponentiated	exponentiate	VERB
iajs-1809	189	33	weibull	weibull	PROPN
iajs-1809	189	34	distribution	distribution	NOUN
iajs-1809	189	35	"	"	PUNCT
iajs-1809	189	36	,	,	PUNCT
iajs-1809	189	37	communications	communication	NOUN
iajs-1809	189	38	in	in	ADP
iajs-1809	189	39	statistics	statistic	NOUN
iajs-1809	189	40	-	-	PUNCT
iajs-1809	189	41	theory	theory	NOUN
iajs-1809	189	42	and	and	CCONJ
iajs-1809	189	43	methods	method	NOUN
iajs-1809	189	44	,	,	PUNCT
iajs-1809	189	45	2016	2016	NUM
iajs-1809	189	46	[	[	X
iajs-1809	189	47	23	23	NUM
iajs-1809	189	48	]	]	X
iajs-1809	189	49	g.s	g.s	PROPN
iajs-1809	189	50	.	.	PROPN
iajs-1809	189	51	,	,	PUNCT
iajs-1809	189	52	rao	rao	PROPN
iajs-1809	189	53	,	,	PUNCT
iajs-1809	189	54	"	"	PUNCT
iajs-1809	189	55	estimation	estimation	NOUN
iajs-1809	189	56	of	of	ADP
iajs-1809	189	57	reliability	reliability	NOUN
iajs-1809	189	58	in	in	ADP
iajs-1809	189	59	multicomponent	multicomponent	ADJ
iajs-1809	189	60	stress	stress	NOUN
iajs-1809	189	61	-	-	PUNCT
iajs-1809	189	62	strength	strength	NOUN
iajs-1809	189	63	based	base	VERB
iajs-1809	189	64	on	on	ADP
iajs-1809	189	65	generalized	generalized	ADJ
iajs-1809	189	66	exponential	exponential	ADJ
iajs-1809	189	67	distribution	distribution	NOUN
iajs-1809	189	68	"	"	PUNCT
iajs-1809	189	69	,	,	PUNCT
iajs-1809	189	70	revista	revista	PROPN
iajs-1809	189	71	colombiana	colombiana	PROPN
iajs-1809	189	72	de	de	PROPN
iajs-1809	189	73	estadistica	estadistica	PROPN
iajs-1809	189	74	,	,	PUNCT
iajs-1809	189	75	35	35	NUM
iajs-1809	189	76	,	,	PUNCT
iajs-1809	189	77	1,.67	1,.67	NUM
iajs-1809	189	78	-	-	SYM
iajs-1809	189	79	76	76	NUM
iajs-1809	189	80	.	.	PUNCT
iajs-1809	190	1	2012	2012	NUM
iajs-1809	190	2	[	[	X
iajs-1809	190	3	24	24	NUM
iajs-1809	190	4	]	]	X
iajs-1809	190	5	g.s	g.s	PROPN
iajs-1809	190	6	.	.	PROPN
iajs-1809	190	7	,	,	PUNCT
iajs-1809	190	8	rao	rao	PROPN
iajs-1809	190	9	,	,	PUNCT
iajs-1809	190	10	"	"	PUNCT
iajs-1809	190	11	estimation	estimation	NOUN
iajs-1809	190	12	of	of	ADP
iajs-1809	190	13	system	system	NOUN
iajs-1809	190	14	reliability	reliability	NOUN
iajs-1809	190	15	for	for	ADP
iajs-1809	190	16	log	log	NOUN
iajs-1809	190	17	-	-	PUNCT
iajs-1809	190	18	logistic	logistic	ADJ
iajs-1809	190	19	distribution	distribution	NOUN
iajs-1809	190	20	"	"	PUNCT
iajs-1809	190	21	,	,	PUNCT
iajs-1809	190	22	journal	journal	NOUN
iajs-1809	190	23	of	of	ADP
iajs-1809	190	24	atoms	atom	NOUN
iajs-1809	190	25	and	and	CCONJ
iajs-1809	190	26	molecules	molecule	NOUN
iajs-1809	190	27	,	,	PUNCT
iajs-1809	190	28	2	2	NUM
iajs-1809	190	29	,	,	PUNCT
iajs-1809	190	30	2,.182	2,.182	NUM
iajs-1809	190	31	-	-	SYM
iajs-1809	190	32	190	190	NUM
iajs-1809	190	33	.	.	PUNCT
iajs-1809	190	34	2012	2012	NUM
iajs-1809	191	1	[	[	X
iajs-1809	191	2	25	25	NUM
iajs-1809	191	3	]	]	X
iajs-1809	191	4	a.n	a.n	PROPN
iajs-1809	191	5	.	.	PROPN
iajs-1809	191	6	salman	salman	PROPN
iajs-1809	191	7	,	,	PUNCT
iajs-1809	191	8	and	and	CCONJ
iajs-1809	191	9	m.m	m.m	PROPN
iajs-1809	191	10	.	.	PROPN
iajs-1809	191	11	,	,	PUNCT
iajs-1809	191	12	ameen	ameen	PROPN
iajs-1809	191	13	,	,	PUNCT
iajs-1809	191	14	"	"	PUNCT
iajs-1809	191	15	estimate	estimate	VERB
iajs-1809	191	16	the	the	DET
iajs-1809	191	17	shape	shape	NOUN
iajs-1809	191	18	parameter	parameter	NOUN
iajs-1809	191	19	of	of	ADP
iajs-1809	191	20	generalized	generalize	VERB
iajs-1809	191	21	rayleigh	rayleigh	NOUN
iajs-1809	191	22	distribution	distribution	NOUN
iajs-1809	191	23	using	use	VERB
iajs-1809	191	24	bayesian	bayesian	NOUN
iajs-1809	191	25	-	-	PUNCT
iajs-1809	191	26	shrinkage	shrinkage	NOUN
iajs-1809	191	27	technique	technique	NOUN
iajs-1809	191	28	"	"	PUNCT
iajs-1809	191	29	,	,	PUNCT
iajs-1809	191	30	international	international	ADJ
iajs-1809	191	31	journal	journal	NOUN
iajs-1809	191	32	of	of	ADP
iajs-1809	191	33	innovative	innovative	ADJ
iajs-1809	191	34	science	science	NOUN
iajs-1809	191	35	,	,	PUNCT
iajs-1809	191	36	engineering	engineering	NOUN
iajs-1809	191	37	,	,	PUNCT
iajs-1809	191	38	and	and	CCONJ
iajs-1809	191	39	technology	technology	NOUN
iajs-1809	191	40	,	,	PUNCT
iajs-1809	191	41	2,.675	2,.675	NUM
iajs-1809	191	42	-	-	SYM
iajs-1809	191	43	683	683	NUM
iajs-1809	191	44	.	.	PUNCT
iajs-1809	192	1	2015	2015	NUM
iajs-1809	193	1	[	[	X
iajs-1809	193	2	26	26	NUM
iajs-1809	193	3	]	]	X
iajs-1809	193	4	l.	l.	PROPN
iajs-1809	193	5	,	,	PUNCT
iajs-1809	193	6	stokes	stokes	PROPN
iajs-1809	193	7	,	,	PUNCT
iajs-1809	193	8	“	"	PUNCT
iajs-1809	193	9	parametric	parametric	ADJ
iajs-1809	193	10	ranked	rank	VERB
iajs-1809	193	11	set	set	NOUN
iajs-1809	193	12	sampling	sample	VERB
iajs-1809	193	13	“	"	PUNCT
iajs-1809	193	14	,	,	PUNCT
iajs-1809	193	15	annals	annal	NOUN
iajs-1809	193	16	of	of	ADP
iajs-1809	193	17	the	the	DET
iajs-1809	193	18	institute	institute	NOUN
iajs-1809	193	19	of	of	ADP
iajs-1809	193	20	statistical	statistical	ADJ
iajs-1809	193	21	mathematics	mathematic	NOUN
iajs-1809	193	22	,	,	PUNCT
iajs-1809	193	23	47	47	NUM
iajs-1809	193	24	,	,	PUNCT
iajs-1809	193	25	3	3	NUM
iajs-1809	193	26	,	,	PUNCT
iajs-1809	193	27	465	465	NUM
iajs-1809	193	28	-	-	SYM
iajs-1809	193	29	482	482	NUM
iajs-1809	193	30	.	.	NOUN
iajs-1809	193	31	1995	1995	NUM
iajs-1809	194	1	[	[	X
iajs-1809	194	2	27	27	NUM
iajs-1809	194	3	]	]	PUNCT
iajs-1809	194	4	s.	s.	PROPN
iajs-1809	194	5	s.	s.	PROPN
iajs-1809	194	6	,	,	PUNCT
iajs-1809	194	7	taher	taher	PROPN
iajs-1809	194	8	,	,	PUNCT
iajs-1809	194	9	“	"	PUNCT
iajs-1809	194	10	estimate	estimate	VERB
iajs-1809	194	11	parameters	parameter	NOUN
iajs-1809	194	12	of	of	ADP
iajs-1809	194	13	logistic	logistic	ADJ
iajs-1809	194	14	distribution	distribution	NOUN
iajs-1809	194	15	by	by	ADP
iajs-1809	194	16	different	different	ADJ
iajs-1809	194	17	methods	method	NOUN
iajs-1809	194	18	with	with	ADP
iajs-1809	194	19	practical	practical	ADJ
iajs-1809	194	20	application	application	NOUN
iajs-1809	194	21	”	"	PUNCT
iajs-1809	194	22	,	,	PUNCT
iajs-1809	194	23	m.sc	m.sc	PROPN
iajs-1809	194	24	.	.	PUNCT
iajs-1809	195	1	thesis	thesis	NOUN
iajs-1809	195	2	,	,	PUNCT
iajs-1809	195	3	university	university	NOUN
iajs-1809	195	4	of	of	ADP
iajs-1809	195	5	baghdad	baghdad	PROPN
iajs-1809	195	6	,	,	PUNCT
iajs-1809	195	7	2013	2013	NUM
iajs-1809	196	1	[	[	X
iajs-1809	196	2	28	28	NUM
iajs-1809	196	3	]	]	X
iajs-1809	196	4	r.	r.	PROPN
iajs-1809	196	5	,	,	PUNCT
iajs-1809	196	6	thompson	thompson	PROPN
iajs-1809	196	7	,	,	PUNCT
iajs-1809	196	8	j.	j.	PROPN
iajs-1809	196	9	,	,	PUNCT
iajs-1809	196	10	"	"	PUNCT
iajs-1809	196	11	some	some	DET
iajs-1809	196	12	shrinkage	shrinkage	NOUN
iajs-1809	196	13	techniques	technique	NOUN
iajs-1809	196	14	for	for	ADP
iajs-1809	196	15	estimating	estimate	VERB
iajs-1809	196	16	the	the	DET
iajs-1809	196	17	mean	mean	NOUN
iajs-1809	196	18	"	"	PUNCT
iajs-1809	196	19	,	,	PUNCT
iajs-1809	196	20	j.	j.	PROPN
iajs-1809	196	21	amer	amer	PROPN
iajs-1809	196	22	.	.	PUNCT
iajs-1809	196	23	statist	statist	PROPN
iajs-1809	196	24	.	.	PUNCT
iajs-1809	197	1	assoc	assoc	PROPN
iajs-1809	197	2	.	.	PROPN
iajs-1809	197	3	,	,	PUNCT
iajs-1809	197	4	63	63	NUM
iajs-1809	197	5	,	,	PUNCT
iajs-1809	197	6	113	113	NUM
iajs-1809	197	7	-	-	SYM
iajs-1809	197	8	122	122	NUM
iajs-1809	197	9	.	.	PUNCT
iajs-1809	197	10	1968	1968	NUM
iajs-1809	198	1	[	[	X
iajs-1809	198	2	29	29	NUM
iajs-1809	198	3	]	]	X
iajs-1809	198	4	b.s	b.s	PROPN
iajs-1809	198	5	.	.	PROPN
iajs-1809	198	6	,	,	PUNCT
iajs-1809	198	7	yu	yu	PROPN
iajs-1809	198	8	zhang	zhang	PROPN
iajs-1809	198	9	,	,	PUNCT
iajs-1809	198	10	"	"	PUNCT
iajs-1809	198	11	pre	pre	ADJ
iajs-1809	198	12	-	-	ADJ
iajs-1809	198	13	stressed	stressed	ADJ
iajs-1809	198	14	weibull	weibull	NOUN
iajs-1809	198	15	strength	strength	NOUN
iajs-1809	198	16	"	"	PUNCT
iajs-1809	198	17	,	,	PUNCT
iajs-1809	198	18	a	a	DET
iajs-1809	198	19	thesis	thesis	NOUN
iajs-1809	198	20	in	in	ADP
iajs-1809	198	21	mathematics	mathematic	NOUN
iajs-1809	198	22	and	and	CCONJ
iajs-1809	198	23	statistics	statistics	PROPN
iajs-1809	198	24	texas	texas	PROPN
iajs-1809	198	25	tech	tech	PROPN
iajs-1809	198	26	university	university	PROPN
iajs-1809	198	27	,	,	PUNCT
iajs-1809	198	28	2011	2011	NUM