id	sid	tid	token	lemma	pos
iajs-2480	1	1	microsoft	microsoft	PROPN
iajs-2480	1	2	word	word	NOUN
iajs-2480	1	3	158	158	NUM
iajs-2480	1	4	-	-	SYM
iajs-2480	1	5	166	166	NUM
iajs-2480	1	6	  	  	SPACE
iajs-2480	1	7	158	158	NUM
iajs-2480	1	8	ibn	ibn	PROPN
iajs-2480	1	9	al	al	PROPN
iajs-2480	1	10	-	-	PUNCT
iajs-2480	1	11	haitham	haitham	PROPN
iajs-2480	1	12	jour	jour	X
iajs-2480	1	13	.	.	PROPN
iajs-2480	2	1	for	for	ADP
iajs-2480	2	2	pure	pure	ADJ
iajs-2480	2	3	&	&	CCONJ
iajs-2480	2	4	appl	appl	PROPN
iajs-2480	2	5	.	.	PUNCT
iajs-2480	3	1	sci	sci	PROPN
iajs-2480	3	2	.	.	PROPN
iajs-2480	4	1	33	33	NUM
iajs-2480	4	2	(	(	PUNCT
iajs-2480	4	3	3	3	NUM
iajs-2480	4	4	)	)	PUNCT
iajs-2480	4	5	2020	2020	NUM
iajs-2480	4	6	      	      	SPACE
iajs-2480	4	7	applying	apply	VERB
iajs-2480	4	8	shrinkage	shrinkage	NOUN
iajs-2480	4	9	estimation	estimation	NOUN
iajs-2480	4	10	technique	technique	NOUN
iajs-2480	4	11	of	of	ADP
iajs-2480	4	12	p(y	p(y	PROPN
iajs-2480	4	13	<	<	PROPN
iajs-2480	4	14	max	max	PROPN
iajs-2480	4	15	x1	x1	PROPN
iajs-2480	4	16	,	,	PUNCT
iajs-2480	4	17	x2	x2	PROPN
iajs-2480	4	18	,	,	PUNCT
iajs-2480	4	19	…	…	PUNCT
iajs-2480	4	20	,	,	PUNCT
iajs-2480	4	21	xk	xk	PROPN
iajs-2480	4	22	)	)	PUNCT
iajs-2480	4	23	in	in	ADP
iajs-2480	4	24	case	case	NOUN
iajs-2480	4	25	of	of	ADP
iajs-2480	4	26	generalized	generalized	ADJ
iajs-2480	4	27	exponential	exponential	ADJ
iajs-2480	4	28	distribution	distribution	NOUN
iajs-2480	4	29	abstract	abstract	NOUN
iajs-2480	4	30	this	this	DET
iajs-2480	4	31	paper	paper	NOUN
iajs-2480	4	32	concerned	concern	VERB
iajs-2480	4	33	with	with	ADP
iajs-2480	4	34	estimation	estimation	NOUN
iajs-2480	4	35	reliability	reliability	NOUN
iajs-2480	4	36	(	(	PUNCT
iajs-2480	4	37	𝑅	𝑅	PROPN
iajs-2480	4	38	for	for	ADP
iajs-2480	4	39	k	k	PROPN
iajs-2480	4	40	components	components	PROPN
iajs-2480	4	41	parallel	parallel	ADJ
iajs-2480	4	42	system	system	NOUN
iajs-2480	4	43	of	of	ADP
iajs-2480	4	44	the	the	DET
iajs-2480	4	45	stress	stress	NOUN
iajs-2480	4	46	-	-	PUNCT
iajs-2480	4	47	strength	strength	NOUN
iajs-2480	4	48	model	model	NOUN
iajs-2480	4	49	with	with	ADP
iajs-2480	4	50	non	non	ADJ
iajs-2480	4	51	-	-	ADJ
iajs-2480	4	52	identical	identical	ADJ
iajs-2480	4	53	components	component	NOUN
iajs-2480	4	54	which	which	PRON
iajs-2480	4	55	is	be	AUX
iajs-2480	4	56	subjected	subject	VERB
iajs-2480	4	57	to	to	ADP
iajs-2480	4	58	a	a	DET
iajs-2480	4	59	common	common	ADJ
iajs-2480	4	60	stress	stress	NOUN
iajs-2480	4	61	,	,	PUNCT
iajs-2480	4	62	when	when	SCONJ
iajs-2480	4	63	the	the	DET
iajs-2480	4	64	stress	stress	NOUN
iajs-2480	4	65	and	and	CCONJ
iajs-2480	4	66	strength	strength	NOUN
iajs-2480	4	67	follow	follow	VERB
iajs-2480	4	68	the	the	DET
iajs-2480	4	69	generalized	generalize	VERB
iajs-2480	4	70	exponential	exponential	ADJ
iajs-2480	4	71	distribution	distribution	NOUN
iajs-2480	4	72	(	(	PUNCT
iajs-2480	4	73	ged	ge	VERB
iajs-2480	4	74	)	)	PUNCT
iajs-2480	4	75	with	with	ADP
iajs-2480	4	76	unknown	unknown	ADJ
iajs-2480	4	77	shape	shape	NOUN
iajs-2480	4	78	parameter	parameter	NOUN
iajs-2480	4	79	α	α	PROPN
iajs-2480	4	80	and	and	CCONJ
iajs-2480	4	81	the	the	DET
iajs-2480	4	82	known	know	VERB
iajs-2480	4	83	scale	scale	NOUN
iajs-2480	4	84	parameter	parameter	NOUN
iajs-2480	4	85	θ	θ	PROPN
iajs-2480	4	86	(	(	PUNCT
iajs-2480	4	87	θ=1	θ=1	NOUN
iajs-2480	4	88	)	)	PUNCT
iajs-2480	4	89	to	to	PART
iajs-2480	4	90	be	be	AUX
iajs-2480	4	91	common	common	ADJ
iajs-2480	4	92	.	.	PUNCT
iajs-2480	5	1	different	different	ADJ
iajs-2480	5	2	shrinkage	shrinkage	NOUN
iajs-2480	5	3	estimation	estimation	NOUN
iajs-2480	5	4	methods	method	NOUN
iajs-2480	5	5	will	will	AUX
iajs-2480	5	6	be	be	AUX
iajs-2480	5	7	considered	consider	VERB
iajs-2480	5	8	to	to	PART
iajs-2480	5	9	estimate	estimate	VERB
iajs-2480	5	10	𝑅	𝑅	PROPN
iajs-2480	5	11	depending	depend	VERB
iajs-2480	5	12	on	on	ADP
iajs-2480	5	13	maximum	maximum	ADJ
iajs-2480	5	14	likelihood	likelihood	NOUN
iajs-2480	5	15	estimator	estimator	NOUN
iajs-2480	5	16	and	and	CCONJ
iajs-2480	5	17	prior	prior	ADJ
iajs-2480	5	18	estimates	estimate	NOUN
iajs-2480	5	19	based	base	VERB
iajs-2480	5	20	on	on	ADP
iajs-2480	5	21	simulation	simulation	NOUN
iajs-2480	5	22	using	use	VERB
iajs-2480	5	23	mean	mean	NOUN
iajs-2480	5	24	squared	square	VERB
iajs-2480	5	25	error	error	NOUN
iajs-2480	5	26	(	(	PUNCT
iajs-2480	5	27	mse	mse	NOUN
iajs-2480	5	28	)	)	PUNCT
iajs-2480	5	29	criteria	criterion	NOUN
iajs-2480	5	30	.	.	PUNCT
iajs-2480	6	1	the	the	DET
iajs-2480	6	2	study	study	NOUN
iajs-2480	6	3	approved	approve	VERB
iajs-2480	6	4	that	that	SCONJ
iajs-2480	6	5	the	the	DET
iajs-2480	6	6	shrinkage	shrinkage	NOUN
iajs-2480	6	7	estimation	estimation	NOUN
iajs-2480	6	8	using	use	VERB
iajs-2480	6	9	shrinkage	shrinkage	NOUN
iajs-2480	6	10	weight	weight	NOUN
iajs-2480	6	11	function	function	NOUN
iajs-2480	6	12	was	be	AUX
iajs-2480	6	13	the	the	DET
iajs-2480	6	14	best	good	ADJ
iajs-2480	6	15	.	.	PUNCT
iajs-2480	7	1	keywords	keyword	NOUN
iajs-2480	7	2	:	:	PUNCT
iajs-2480	7	3	generalized	generalize	VERB
iajs-2480	7	4	exponential	exponential	ADJ
iajs-2480	7	5	distribution	distribution	NOUN
iajs-2480	7	6	(	(	PUNCT
iajs-2480	7	7	ged	ge	VERB
iajs-2480	7	8	)	)	PUNCT
iajs-2480	7	9	,	,	PUNCT
iajs-2480	7	10	stress	stress	NOUN
iajs-2480	7	11	–	–	PUNCT
iajs-2480	7	12	strength	strength	NOUN
iajs-2480	7	13	(	(	PUNCT
iajs-2480	7	14	s	s	NOUN
iajs-2480	7	15	-	-	PUNCT
iajs-2480	7	16	s	s	NOUN
iajs-2480	7	17	)	)	PUNCT
iajs-2480	7	18	models	model	NOUN
iajs-2480	7	19	,	,	PUNCT
iajs-2480	7	20	maximum	maximum	ADJ
iajs-2480	7	21	likelihood	likelihood	NOUN
iajs-2480	7	22	estimator	estimator	NOUN
iajs-2480	7	23	(	(	PUNCT
iajs-2480	7	24	mle	mle	PROPN
iajs-2480	7	25	)	)	PUNCT
iajs-2480	7	26	,	,	PUNCT
iajs-2480	7	27	shrinkage	shrinkage	NOUN
iajs-2480	7	28	estimator	estimator	NOUN
iajs-2480	7	29	(	(	PUNCT
iajs-2480	7	30	sh	sh	PROPN
iajs-2480	7	31	)	)	PUNCT
iajs-2480	7	32	and	and	CCONJ
iajs-2480	7	33	mean	mean	ADJ
iajs-2480	7	34	squares	square	NOUN
iajs-2480	7	35	error	error	NOUN
iajs-2480	7	36	(	(	PUNCT
iajs-2480	7	37	mse	mse	NOUN
iajs-2480	7	38	)	)	PUNCT
iajs-2480	7	39	.	.	PUNCT
iajs-2480	8	1	1introduction	1introduction	NUM
iajs-2480	8	2	at	at	ADP
iajs-2480	8	3	a	a	DET
iajs-2480	8	4	specific	specific	ADJ
iajs-2480	8	5	time	time	NOUN
iajs-2480	8	6	,	,	PUNCT
iajs-2480	8	7	the	the	DET
iajs-2480	8	8	reliability	reliability	NOUN
iajs-2480	8	9	is	be	AUX
iajs-2480	8	10	defined	define	VERB
iajs-2480	8	11	as	as	ADP
iajs-2480	8	12	a	a	DET
iajs-2480	8	13	probability	probability	NOUN
iajs-2480	8	14	that	that	SCONJ
iajs-2480	8	15	the	the	DET
iajs-2480	8	16	intended	intend	VERB
iajs-2480	8	17	functions	function	NOUN
iajs-2480	8	18	under	under	ADP
iajs-2480	8	19	specified	specify	VERB
iajs-2480	8	20	operational	operational	ADJ
iajs-2480	8	21	conditions	condition	NOUN
iajs-2480	8	22	and	and	CCONJ
iajs-2480	8	23	environments	environment	NOUN
iajs-2480	8	24	the	the	DET
iajs-2480	8	25	item	item	NOUN
iajs-2480	8	26	will	will	AUX
iajs-2480	8	27	be	be	AUX
iajs-2480	8	28	performed	perform	VERB
iajs-2480	8	29	.	.	PUNCT
iajs-2480	9	1	the	the	DET
iajs-2480	9	2	reliability	reliability	NOUN
iajs-2480	9	3	function	function	NOUN
iajs-2480	9	4	is	be	AUX
iajs-2480	9	5	a	a	DET
iajs-2480	9	6	function	function	NOUN
iajs-2480	9	7	of	of	ADP
iajs-2480	9	8	the	the	DET
iajs-2480	9	9	lifetime	lifetime	NOUN
iajs-2480	9	10	which	which	PRON
iajs-2480	9	11	is	be	AUX
iajs-2480	9	12	monotonically	monotonically	ADV
iajs-2480	9	13	decreasing	decrease	VERB
iajs-2480	9	14	function	function	NOUN
iajs-2480	9	15	;	;	PUNCT
iajs-2480	9	16	it	it	PRON
iajs-2480	9	17	is	be	AUX
iajs-2480	9	18	a	a	DET
iajs-2480	9	19	quantitative	quantitative	ADJ
iajs-2480	9	20	measure	measure	NOUN
iajs-2480	9	21	of	of	ADP
iajs-2480	9	22	the	the	DET
iajs-2480	9	23	quality	quality	NOUN
iajs-2480	9	24	of	of	ADP
iajs-2480	9	25	the	the	DET
iajs-2480	9	26	item	item	NOUN
iajs-2480	9	27	.	.	PUNCT
iajs-2480	10	1	the	the	DET
iajs-2480	10	2	item	item	NOUN
iajs-2480	10	3	will	will	AUX
iajs-2480	10	4	eventually	eventually	ADV
iajs-2480	10	5	cease	cease	VERB
iajs-2480	10	6	to	to	PART
iajs-2480	10	7	perform	perform	VERB
iajs-2480	10	8	its	its	PRON
iajs-2480	10	9	intended	intend	VERB
iajs-2480	10	10	function	function	NOUN
iajs-2480	10	11	if	if	SCONJ
iajs-2480	10	12	the	the	DET
iajs-2480	10	13	service	service	NOUN
iajs-2480	10	14	life	life	NOUN
iajs-2480	10	15	of	of	ADP
iajs-2480	10	16	the	the	DET
iajs-2480	10	17	item	item	NOUN
iajs-2480	10	18	is	be	AUX
iajs-2480	10	19	allowed	allow	VERB
iajs-2480	10	20	to	to	PART
iajs-2480	10	21	proceed	proceed	VERB
iajs-2480	10	22	unlimitedly	unlimitedly	ADV
iajs-2480	10	23	.	.	PUNCT
iajs-2480	11	1	the	the	DET
iajs-2480	11	2	reliability	reliability	NOUN
iajs-2480	11	3	over	over	ADP
iajs-2480	11	4	time	time	NOUN
iajs-2480	11	5	exhibit	exhibit	NOUN
iajs-2480	11	6	decreasing	decrease	VERB
iajs-2480	11	7	in	in	ADP
iajs-2480	11	8	all	all	DET
iajs-2480	11	9	mechanical	mechanical	ADJ
iajs-2480	11	10	systems	system	NOUN
iajs-2480	11	11	and	and	CCONJ
iajs-2480	11	12	their	their	PRON
iajs-2480	11	13	materials	material	NOUN
iajs-2480	11	14	degrade	degrade	VERB
iajs-2480	11	15	as	as	SCONJ
iajs-2480	11	16	they	they	PRON
iajs-2480	11	17	age	age	VERB
iajs-2480	11	18	because	because	SCONJ
iajs-2480	11	19	their	their	PRON
iajs-2480	11	20	components	component	NOUN
iajs-2480	11	21	are	be	AUX
iajs-2480	11	22	not	not	PART
iajs-2480	11	23	ideal	ideal	ADJ
iajs-2480	12	1	[	[	X
iajs-2480	12	2	1	1	NUM
iajs-2480	12	3	]	]	PUNCT
iajs-2480	12	4	.	.	PUNCT
iajs-2480	13	1	the	the	DET
iajs-2480	13	2	widest	wide	ADJ
iajs-2480	13	3	approach	approach	NOUN
iajs-2480	13	4	is	be	AUX
iajs-2480	13	5	the	the	DET
iajs-2480	13	6	well	well	ADV
iajs-2480	13	7	-	-	PUNCT
iajs-2480	13	8	known	know	VERB
iajs-2480	13	9	application	application	NOUN
iajs-2480	13	10	of	of	ADP
iajs-2480	13	11	reliability	reliability	NOUN
iajs-2480	13	12	estimation	estimation	NOUN
iajs-2480	13	13	is	be	AUX
iajs-2480	13	14	the	the	DET
iajs-2480	13	15	model	model	NOUN
iajs-2480	13	16	of	of	ADP
iajs-2480	13	17	stress	stress	NOUN
iajs-2480	13	18	–	–	PUNCT
iajs-2480	13	19	strength	strength	NOUN
iajs-2480	13	20	.	.	PUNCT
iajs-2480	14	1	this	this	DET
iajs-2480	14	2	model	model	NOUN
iajs-2480	14	3	is	be	AUX
iajs-2480	14	4	used	use	VERB
iajs-2480	14	5	in	in	ADP
iajs-2480	14	6	many	many	ADJ
iajs-2480	14	7	applications	application	NOUN
iajs-2480	14	8	of	of	ADP
iajs-2480	14	9	system	system	NOUN
iajs-2480	14	10	collapse	collapse	NOUN
iajs-2480	14	11	and	and	CCONJ
iajs-2480	14	12	engineering	engineering	NOUN
iajs-2480	14	13	such	such	ADJ
iajs-2480	14	14	as	as	ADP
iajs-2480	14	15	strength	strength	NOUN
iajs-2480	14	16	failure	failure	NOUN
iajs-2480	14	17	and	and	CCONJ
iajs-2480	14	18	physics	physics	NOUN
iajs-2480	14	19	.	.	PUNCT
iajs-2480	15	1	some	some	DET
iajs-2480	15	2	systems	system	NOUN
iajs-2480	15	3	of	of	ADP
iajs-2480	15	4	engineering	engineering	NOUN
iajs-2480	15	5	,	,	PUNCT
iajs-2480	15	6	which	which	PRON
iajs-2480	15	7	may	may	AUX
iajs-2480	15	8	have	have	VERB
iajs-2480	15	9	more	more	ADJ
iajs-2480	15	10	than	than	ADP
iajs-2480	15	11	one	one	NUM
iajs-2480	15	12	component	component	NOUN
iajs-2480	15	13	there	there	PRON
iajs-2480	15	14	may	may	AUX
iajs-2480	15	15	fail	fail	VERB
iajs-2480	15	16	together	together	ADV
iajs-2480	15	17	or	or	CCONJ
iajs-2480	15	18	separately	separately	ADV
iajs-2480	15	19	.	.	PUNCT
iajs-2480	16	1	ibn	ibn	PROPN
iajs-2480	16	2	al	al	PROPN
iajs-2480	16	3	haitham	haitham	PROPN
iajs-2480	16	4	journal	journal	PROPN
iajs-2480	16	5	for	for	ADP
iajs-2480	16	6	pure	pure	ADJ
iajs-2480	16	7	and	and	CCONJ
iajs-2480	16	8	applied	apply	VERB
iajs-2480	16	9	science	science	NOUN
iajs-2480	16	10	journal	journal	PROPN
iajs-2480	16	11	homepage	homepage	NOUN
iajs-2480	16	12	:	:	PUNCT
iajs-2480	16	13	http://jih.uobaghdad.edu.iq/index.php/j/index	http://jih.uobaghdad.edu.iq/index.php/j/index	PROPN
iajs-2480	16	14	mohammad	mohammad	PROPN
iajs-2480	16	15	khairallah	khairallah	PROPN
iajs-2480	16	16	yaseen	yaseen	PROPN
iajs-2480	16	17	adel	adel	PROPN
iajs-2480	16	18	abdulkadhim	abdulkadhim	PROPN
iajs-2480	16	19	hussein	hussein	PROPN
iajs-2480	16	20	abbas	abbas	PROPN
iajs-2480	16	21	najim	najim	PROPN
iajs-2480	16	22	salman	salman	PROPN
iajs-2480	16	23	doi	doi	PROPN
iajs-2480	16	24	:	:	PUNCT
iajs-2480	16	25	10.30526/33.3.2480	10.30526/33.3.2480	PROPN
iajs-2480	16	26	department	department	NOUN
iajs-2480	16	27	of	of	ADP
iajs-2480	16	28	mathematics	mathematics	PROPN
iajs-2480	16	29	,	,	PUNCT
iajs-2480	16	30	college	college	NOUN
iajs-2480	16	31	of	of	ADP
iajs-2480	16	32	education	education	NOUN
iajs-2480	16	33	for	for	ADP
iajs-2480	16	34	pure	pure	ADJ
iajs-2480	16	35	sciences	science	NOUN
iajs-2480	16	36	ibn	ibn	PROPN
iajs-2480	16	37	al	al	PROPN
iajs-2480	16	38	–	–	PUNCT
iajs-2480	16	39	haitham	haitham	PROPN
iajs-2480	16	40	,	,	PUNCT
iajs-2480	16	41	university	university	PROPN
iajs-2480	16	42	of	of	ADP
iajs-2480	16	43	baghdad	baghdad	PROPN
iajs-2480	16	44	department	department	PROPN
iajs-2480	16	45	of	of	ADP
iajs-2480	16	46	studies	study	NOUN
iajs-2480	16	47	and	and	CCONJ
iajs-2480	16	48	planning	plan	VERB
iajs-2480	16	49	university	university	PROPN
iajs-2480	16	50	of	of	ADP
iajs-2480	16	51	baghdad	baghdad	PROPN
iajs-2480	16	52	,	,	PUNCT
iajs-2480	16	53	article	article	NOUN
iajs-2480	16	54	history	history	NOUN
iajs-2480	16	55	:	:	PUNCT
iajs-2480	16	56	received	receive	VERB
iajs-2480	16	57	7	7	NUM
iajs-2480	16	58	september	september	PROPN
iajs-2480	16	59	2019	2019	NUM
iajs-2480	16	60	,	,	PUNCT
iajs-2480	16	61	accepted	accept	VERB
iajs-2480	16	62	4	4	NUM
iajs-2480	16	63	december	december	PROPN
iajs-2480	16	64	2019	2019	NUM
iajs-2480	16	65	,	,	PUNCT
iajs-2480	16	66	published	publish	VERB
iajs-2480	16	67	in	in	ADP
iajs-2480	16	68	july	july	PROPN
iajs-2480	16	69	2020	2020	NUM
iajs-2480	16	70	.	.	PUNCT
iajs-2480	17	1	adilabed57@gmail.com	adilabed57@gmail.com	NOUN
iajs-2480	17	2	  	  	SPACE
iajs-2480	17	3	department	department	NOUN
iajs-2480	17	4	of	of	ADP
iajs-2480	17	5	mathematics	mathematics	PROPN
iajs-2480	17	6	,	,	PUNCT
iajs-2480	17	7	college	college	NOUN
iajs-2480	17	8	of	of	ADP
iajs-2480	17	9	education	education	NOUN
iajs-2480	17	10	for	for	ADP
iajs-2480	17	11	pure	pure	ADJ
iajs-2480	17	12	sciences	science	NOUN
iajs-2480	17	13	ibn	ibn	PROPN
iajs-2480	17	14	al	al	PROPN
iajs-2480	17	15	–	–	PUNCT
iajs-2480	17	16	haitham	haitham	PROPN
iajs-2480	17	17	,	,	PUNCT
iajs-2480	17	18	university	university	PROPN
iajs-2480	17	19	of	of	ADP
iajs-2480	17	20	baghdad	baghdad	PROPN
iajs-2480	17	21	  	  	SPACE
iajs-2480	17	22	159	159	NUM
iajs-2480	17	23	ibn	ibn	PROPN
iajs-2480	17	24	al	al	PROPN
iajs-2480	17	25	-	-	PUNCT
iajs-2480	17	26	haitham	haitham	PROPN
iajs-2480	17	27	jour	jour	X
iajs-2480	17	28	.	.	PROPN
iajs-2480	17	29	for	for	ADP
iajs-2480	17	30	pure	pure	ADJ
iajs-2480	17	31	&	&	CCONJ
iajs-2480	17	32	appl	appl	PROPN
iajs-2480	17	33	.	.	PUNCT
iajs-2480	18	1	sci	sci	PROPN
iajs-2480	18	2	.	.	PROPN
iajs-2480	19	1	33	33	NUM
iajs-2480	19	2	(	(	PUNCT
iajs-2480	19	3	3	3	NUM
iajs-2480	19	4	)	)	PUNCT
iajs-2480	19	5	2020	2020	NUM
iajs-2480	20	1	in	in	ADP
iajs-2480	20	2	the	the	DET
iajs-2480	20	3	statistical	statistical	ADJ
iajs-2480	20	4	approach	approach	NOUN
iajs-2480	20	5	,	,	PUNCT
iajs-2480	20	6	the	the	DET
iajs-2480	20	7	model	model	NOUN
iajs-2480	20	8	of	of	ADP
iajs-2480	20	9	stress	stress	NOUN
iajs-2480	20	10	-	-	PUNCT
iajs-2480	20	11	strength	strength	NOUN
iajs-2480	20	12	,	,	PUNCT
iajs-2480	20	13	most	most	ADJ
iajs-2480	20	14	of	of	ADP
iajs-2480	20	15	the	the	DET
iajs-2480	20	16	considerations	consideration	NOUN
iajs-2480	20	17	depend	depend	VERB
iajs-2480	20	18	on	on	ADP
iajs-2480	20	19	the	the	DET
iajs-2480	20	20	assumption	assumption	NOUN
iajs-2480	20	21	that	that	SCONJ
iajs-2480	20	22	the	the	DET
iajs-2480	20	23	component	component	NOUN
iajs-2480	20	24	strengths	strength	NOUN
iajs-2480	20	25	are	be	AUX
iajs-2480	20	26	independently	independently	ADV
iajs-2480	20	27	and	and	CCONJ
iajs-2480	20	28	identically	identically	ADV
iajs-2480	20	29	distributed	distribute	VERB
iajs-2480	20	30	(	(	PUNCT
iajs-2480	20	31	iid	iid	NOUN
iajs-2480	20	32	)	)	PUNCT
iajs-2480	20	33	.	.	PUNCT
iajs-2480	21	1	the	the	DET
iajs-2480	21	2	assumption	assumption	NOUN
iajs-2480	21	3	of	of	ADP
iajs-2480	21	4	the	the	DET
iajs-2480	21	5	components	component	NOUN
iajs-2480	21	6	of	of	ADP
iajs-2480	21	7	a	a	DET
iajs-2480	21	8	system	system	NOUN
iajs-2480	21	9	are	be	AUX
iajs-2480	21	10	of	of	ADP
iajs-2480	21	11	the	the	DET
iajs-2480	21	12	different	different	ADJ
iajs-2480	21	13	structure	structure	NOUN
iajs-2480	21	14	identical	identical	ADJ
iajs-2480	21	15	strength	strength	NOUN
iajs-2480	21	16	distributions	distribution	NOUN
iajs-2480	21	17	may	may	AUX
iajs-2480	21	18	not	not	PART
iajs-2480	21	19	be	be	AUX
iajs-2480	21	20	quite	quite	ADV
iajs-2480	21	21	realistic	realistic	ADJ
iajs-2480	21	22	"	"	PUNCT
iajs-2480	21	23	in	in	ADP
iajs-2480	21	24	many	many	ADJ
iajs-2480	21	25	practical	practical	ADJ
iajs-2480	21	26	situations	situation	NOUN
iajs-2480	21	27	[	[	X
iajs-2480	21	28	2,3	2,3	NUM
iajs-2480	21	29	]	]	PUNCT
iajs-2480	21	30	.	.	PUNCT
iajs-2480	22	1	the	the	DET
iajs-2480	22	2	issue	issue	NOUN
iajs-2480	22	3	of	of	ADP
iajs-2480	22	4	finding	find	VERB
iajs-2480	22	5	the	the	DET
iajs-2480	22	6	reliability	reliability	NOUN
iajs-2480	22	7	in	in	ADP
iajs-2480	22	8	a	a	DET
iajs-2480	22	9	model	model	NOUN
iajs-2480	22	10	of	of	ADP
iajs-2480	22	11	stress	stress	NOUN
iajs-2480	22	12	-	-	PUNCT
iajs-2480	22	13	strength	strength	NOUN
iajs-2480	22	14	has	have	AUX
iajs-2480	22	15	been	be	AUX
iajs-2480	22	16	discussed	discuss	VERB
iajs-2480	22	17	extensively	extensively	ADV
iajs-2480	22	18	in	in	ADP
iajs-2480	22	19	the	the	DET
iajs-2480	22	20	literature	literature	NOUN
iajs-2480	22	21	when	when	SCONJ
iajs-2480	22	22	x	x	PRON
iajs-2480	22	23	and	and	CCONJ
iajs-2480	22	24	y	y	PROPN
iajs-2480	22	25	have	have	VERB
iajs-2480	22	26	some	some	DET
iajs-2480	22	27	specified	specify	VERB
iajs-2480	22	28	distribution	distribution	NOUN
iajs-2480	22	29	.	.	PUNCT
iajs-2480	23	1	here	here	ADV
iajs-2480	23	2	are	be	AUX
iajs-2480	23	3	a	a	DET
iajs-2480	23	4	few	few	ADJ
iajs-2480	23	5	references	reference	NOUN
iajs-2480	23	6	to	to	ADP
iajs-2480	23	7	contributions	contribution	NOUN
iajs-2480	23	8	towards	towards	ADP
iajs-2480	23	9	these	these	DET
iajs-2480	23	10	models	model	NOUN
iajs-2480	23	11	"	"	PUNCT
iajs-2480	23	12	hangal	hangal	PROPN
iajs-2480	23	13	in	in	ADP
iajs-2480	23	14	1996	1996	NUM
iajs-2480	23	15	obtained	obtain	VERB
iajs-2480	23	16	the	the	DET
iajs-2480	23	17	estimation	estimation	NOUN
iajs-2480	23	18	of	of	ADP
iajs-2480	23	19	system	system	NOUN
iajs-2480	23	20	reliability	reliability	NOUN
iajs-2480	23	21	with	with	ADP
iajs-2480	23	22	k	k	PROPN
iajs-2480	23	23	components	component	NOUN
iajs-2480	23	24	either	either	CCONJ
iajs-2480	23	25	series	series	NOUN
iajs-2480	23	26	or	or	CCONJ
iajs-2480	23	27	parallel	parallel	NOUN
iajs-2480	23	28	of	of	ADP
iajs-2480	23	29	a	a	DET
iajs-2480	23	30	stress	stress	NOUN
iajs-2480	23	31	-	-	PUNCT
iajs-2480	23	32	strength	strength	NOUN
iajs-2480	23	33	model	model	NOUN
iajs-2480	23	34	"	"	PUNCT
iajs-2480	23	35	[	[	X
iajs-2480	23	36	4	4	NUM
iajs-2480	23	37	]	]	PUNCT
iajs-2480	23	38	.	.	PUNCT
iajs-2480	24	1	he	he	PRON
iajs-2480	24	2	assumed	assume	VERB
iajs-2480	24	3	that	that	SCONJ
iajs-2480	24	4	the	the	DET
iajs-2480	24	5	kth	kth	PROPN
iajs-2480	24	6	components	component	NOUN
iajs-2480	24	7	strength	strength	NOUN
iajs-2480	24	8	and	and	CCONJ
iajs-2480	24	9	the	the	DET
iajs-2480	24	10	common	common	ADJ
iajs-2480	24	11	stress	stress	NOUN
iajs-2480	24	12	were	be	AUX
iajs-2480	24	13	independent	independent	ADJ
iajs-2480	24	14	and	and	CCONJ
iajs-2480	24	15	they	they	PRON
iajs-2480	24	16	follow	follow	VERB
iajs-2480	24	17	the	the	DET
iajs-2480	24	18	exponential	exponential	ADJ
iajs-2480	24	19	distribution	distribution	NOUN
iajs-2480	24	20	with	with	ADP
iajs-2480	24	21	two	two	NUM
iajs-2480	24	22	parameters	parameter	NOUN
iajs-2480	24	23	.	.	PUNCT
iajs-2480	25	1	ali	ali	PROPN
iajs-2480	25	2	h.m	h.m	PROPN
iajs-2480	25	3	.	.	PROPN
iajs-2480	26	1	in	in	ADP
iajs-2480	26	2	2013	2013	NUM
iajs-2480	26	3	estimated	estimate	VERB
iajs-2480	26	4	the	the	DET
iajs-2480	26	5	reliability	reliability	NOUN
iajs-2480	26	6	of	of	ADP
iajs-2480	26	7	the	the	DET
iajs-2480	26	8	stress	stress	NOUN
iajs-2480	26	9	-	-	PUNCT
iajs-2480	26	10	strength	strength	NOUN
iajs-2480	26	11	system	system	NOUN
iajs-2480	26	12	with	with	ADP
iajs-2480	26	13	non	non	ADJ
iajs-2480	26	14	-	-	ADJ
iajs-2480	26	15	identical	identical	ADJ
iajs-2480	26	16	parallel	parallel	ADJ
iajs-2480	26	17	component	component	NOUN
iajs-2480	26	18	subject	subject	ADJ
iajs-2480	26	19	to	to	ADP
iajs-2480	26	20	a	a	DET
iajs-2480	26	21	common	common	ADJ
iajs-2480	26	22	stress	stress	NOUN
iajs-2480	26	23	using	use	VERB
iajs-2480	26	24	lomax	lomax	PROPN
iajs-2480	26	25	distribution	distribution	NOUN
iajs-2480	26	26	[	[	X
iajs-2480	26	27	5	5	NUM
iajs-2480	26	28	]	]	PUNCT
iajs-2480	26	29	.	.	PUNCT
iajs-2480	27	1	sezer	sezer	NOUN
iajs-2480	27	2	and	and	CCONJ
iajs-2480	27	3	kinaci	kinaci	NOUN
iajs-2480	27	4	in	in	ADP
iajs-2480	27	5	2013	2013	NUM
iajs-2480	27	6	estimated	estimate	VERB
iajs-2480	27	7	the	the	DET
iajs-2480	27	8	stress	stress	NOUN
iajs-2480	27	9	-	-	PUNCT
iajs-2480	27	10	strength	strength	NOUN
iajs-2480	27	11	parameter	parameter	NOUN
iajs-2480	27	12	(	(	PUNCT
iajs-2480	27	13	r	r	NOUN
iajs-2480	27	14	)	)	PUNCT
iajs-2480	27	15	for	for	ADP
iajs-2480	27	16	a	a	DET
iajs-2480	27	17	parallel	parallel	ADJ
iajs-2480	27	18	system	system	NOUN
iajs-2480	27	19	with	with	ADP
iajs-2480	27	20	two	two	NUM
iajs-2480	27	21	components	component	NOUN
iajs-2480	27	22	based	base	VERB
iajs-2480	27	23	on	on	ADP
iajs-2480	27	24	masked	mask	VERB
iajs-2480	27	25	data	datum	NOUN
iajs-2480	27	26	by	by	ADP
iajs-2480	27	27	using	use	VERB
iajs-2480	27	28	exponential	exponential	ADJ
iajs-2480	27	29	distribution	distribution	NOUN
iajs-2480	27	30	;	;	PUNCT
iajs-2480	28	1	[	[	X
iajs-2480	28	2	6	6	NUM
iajs-2480	28	3	]	]	PUNCT
iajs-2480	28	4	.	.	PUNCT
iajs-2480	29	1	in	in	ADP
iajs-2480	29	2	2014	2014	NUM
iajs-2480	29	3	,	,	PUNCT
iajs-2480	29	4	karam	karam	PROPN
iajs-2480	29	5	and	and	CCONJ
iajs-2480	29	6	ali	ali	PROPN
iajs-2480	29	7	considered	consider	VERB
iajs-2480	29	8	estimation	estimation	NOUN
iajs-2480	29	9	of	of	ADP
iajs-2480	29	10	system	system	NOUN
iajs-2480	29	11	reliability	reliability	NOUN
iajs-2480	29	12	for	for	ADP
iajs-2480	29	13	two	two	NUM
iajs-2480	29	14	components	component	NOUN
iajs-2480	29	15	parallel	parallel	ADJ
iajs-2480	29	16	stress	stress	NOUN
iajs-2480	29	17	-	-	PUNCT
iajs-2480	29	18	strength	strength	NOUN
iajs-2480	29	19	system	system	NOUN
iajs-2480	29	20	model	model	NOUN
iajs-2480	29	21	with	with	ADP
iajs-2480	29	22	non	non	ADJ
iajs-2480	29	23	-	-	ADJ
iajs-2480	29	24	identical	identical	ADJ
iajs-2480	29	25	parallel	parallel	ADJ
iajs-2480	29	26	component	component	NOUN
iajs-2480	29	27	which	which	PRON
iajs-2480	29	28	was	be	AUX
iajs-2480	29	29	subjected	subject	VERB
iajs-2480	29	30	to	to	ADP
iajs-2480	29	31	common	common	ADJ
iajs-2480	29	32	stress	stress	NOUN
iajs-2480	29	33	using	use	VERB
iajs-2480	29	34	lomax	lomax	PROPN
iajs-2480	29	35	distribution	distribution	NOUN
iajs-2480	29	36	[	[	X
iajs-2480	29	37	7	7	NUM
iajs-2480	29	38	]	]	PUNCT
iajs-2480	29	39	.	.	PUNCT
iajs-2480	30	1	recently	recently	ADV
iajs-2480	30	2	,	,	PUNCT
iajs-2480	30	3	karam	karam	PROPN
iajs-2480	30	4	in	in	ADP
iajs-2480	30	5	2016	2016	NUM
iajs-2480	30	6	studied	study	VERB
iajs-2480	30	7	the	the	DET
iajs-2480	30	8	reliability	reliability	NOUN
iajs-2480	30	9	function	function	NOUN
iajs-2480	30	10	for	for	ADP
iajs-2480	30	11	a	a	DET
iajs-2480	30	12	component	component	NOUN
iajs-2480	30	13	which	which	PRON
iajs-2480	30	14	had	have	VERB
iajs-2480	30	15	two	two	NUM
iajs-2480	30	16	components	component	NOUN
iajs-2480	30	17	parallel	parallel	NOUN
iajs-2480	30	18	which	which	PRON
iajs-2480	30	19	was	be	AUX
iajs-2480	30	20	subjected	subject	VERB
iajs-2480	30	21	to	to	ADP
iajs-2480	30	22	common	common	ADJ
iajs-2480	30	23	stress	stress	NOUN
iajs-2480	30	24	via	via	ADP
iajs-2480	30	25	gompertz	gompertz	NOUN
iajs-2480	30	26	distribution	distribution	NOUN
iajs-2480	30	27	[	[	X
iajs-2480	30	28	8	8	NUM
iajs-2480	30	29	]	]	PUNCT
iajs-2480	30	30	.	.	PUNCT
iajs-2480	31	1	"	"	PUNCT
iajs-2480	31	2	the	the	DET
iajs-2480	31	3	two	two	NUM
iajs-2480	31	4	-	-	PUNCT
iajs-2480	31	5	parameters	parameter	NOUN
iajs-2480	31	6	generalized	generalize	VERB
iajs-2480	31	7	exponential	exponential	ADJ
iajs-2480	31	8	distribution	distribution	NOUN
iajs-2480	31	9	(	(	PUNCT
iajs-2480	31	10	ged	ge	VERB
iajs-2480	31	11	)	)	PUNCT
iajs-2480	31	12	has	have	AUX
iajs-2480	31	13	been	be	AUX
iajs-2480	31	14	introduced	introduce	VERB
iajs-2480	31	15	and	and	CCONJ
iajs-2480	31	16	studied	study	VERB
iajs-2480	31	17	quite	quite	ADV
iajs-2480	31	18	extensively	extensively	ADV
iajs-2480	31	19	by	by	ADP
iajs-2480	31	20	gupta	gupta	PROPN
iajs-2480	31	21	&	&	CCONJ
iajs-2480	31	22	kundu	kundu	PROPN
iajs-2480	31	23	(	(	PUNCT
iajs-2480	31	24	1999	1999	NUM
iajs-2480	31	25	,	,	PUNCT
iajs-2480	31	26	2001	2001	NUM
iajs-2480	31	27	,	,	PUNCT
iajs-2480	31	28	2002	2002	NUM
iajs-2480	31	29	,	,	PUNCT
iajs-2480	31	30	2003	2003	NUM
iajs-2480	31	31	,	,	PUNCT
iajs-2480	31	32	2004	2004	NUM
iajs-2480	31	33	)	)	PUNCT
iajs-2480	31	34	,	,	PUNCT
iajs-2480	31	35	raqab	raqab	NOUN
iajs-2480	31	36	(	(	PUNCT
iajs-2480	31	37	2002	2002	NUM
iajs-2480	31	38	)	)	PUNCT
iajs-2480	31	39	,	,	PUNCT
iajs-2480	31	40	raqab	raqab	NOUN
iajs-2480	31	41	and	and	CCONJ
iajs-2480	31	42	ahsanullah	ahsanullah	PROPN
iajs-2480	31	43	(	(	PUNCT
iajs-2480	31	44	2001	2001	NUM
iajs-2480	31	45	)	)	PUNCT
iajs-2480	31	46	,	,	PUNCT
iajs-2480	31	47	zheng	zheng	PROPN
iajs-2480	31	48	(	(	PUNCT
iajs-2480	31	49	2002	2002	NUM
iajs-2480	31	50	)	)	PUNCT
iajs-2480	31	51	and	and	CCONJ
iajs-2480	31	52	kundu	kundu	NOUN
iajs-2480	31	53	,	,	PUNCT
iajs-2480	31	54	gupta	gupta	NOUN
iajs-2480	31	55	and	and	CCONJ
iajs-2480	31	56	manglick	manglick	NOUN
iajs-2480	31	57	(	(	PUNCT
iajs-2480	31	58	2004	2004	NUM
iajs-2480	31	59	)	)	PUNCT
iajs-2480	31	60	.	.	PUNCT
iajs-2480	32	1	the	the	DET
iajs-2480	32	2	two	two	NUM
iajs-2480	32	3	-	-	PUNCT
iajs-2480	32	4	parameter	parameter	NOUN
iajs-2480	32	5	ged	ge	VERB
iajs-2480	32	6	was	be	AUX
iajs-2480	32	7	an	an	DET
iajs-2480	32	8	alternative	alternative	NOUN
iajs-2480	32	9	to	to	ADP
iajs-2480	32	10	the	the	DET
iajs-2480	32	11	well	well	ADV
iajs-2480	32	12	-	-	PUNCT
iajs-2480	32	13	known	know	VERB
iajs-2480	32	14	two	two	NUM
iajs-2480	32	15	-	-	PUNCT
iajs-2480	32	16	parameter	parameter	NOUN
iajs-2480	32	17	gamma	gamma	NOUN
iajs-2480	32	18	,	,	PUNCT
iajs-2480	32	19	twoparameter	twoparameter	ADJ
iajs-2480	32	20	weibull	weibull	NOUN
iajs-2480	32	21	"	"	PUNCT
iajs-2480	33	1	[	[	X
iajs-2480	33	2	9	9	NUM
iajs-2480	33	3	]	]	PUNCT
iajs-2480	33	4	.	.	PUNCT
iajs-2480	34	1	the	the	DET
iajs-2480	34	2	estimation	estimation	NOUN
iajs-2480	34	3	of	of	ADP
iajs-2480	34	4	reliability	reliability	NOUN
iajs-2480	34	5	in	in	ADP
iajs-2480	34	6	the	the	DET
iajs-2480	34	7	statistical	statistical	ADJ
iajs-2480	34	8	literature	literature	NOUN
iajs-2480	34	9	is	be	AUX
iajs-2480	34	10	a	a	DET
iajs-2480	34	11	very	very	ADV
iajs-2480	34	12	common	common	ADJ
iajs-2480	34	13	problem	problem	NOUN
iajs-2480	34	14	.	.	PUNCT
iajs-2480	35	1	the	the	DET
iajs-2480	35	2	aim	aim	NOUN
iajs-2480	35	3	of	of	ADP
iajs-2480	35	4	this	this	DET
iajs-2480	35	5	paper	paper	NOUN
iajs-2480	35	6	is	be	AUX
iajs-2480	35	7	to	to	PART
iajs-2480	35	8	make	make	VERB
iajs-2480	35	9	comparisons	comparison	NOUN
iajs-2480	35	10	between	between	ADP
iajs-2480	35	11	different	different	ADJ
iajs-2480	35	12	proposal	proposal	NOUN
iajs-2480	35	13	shrinkage	shrinkage	NOUN
iajs-2480	35	14	estimator	estimator	NOUN
iajs-2480	35	15	for	for	ADP
iajs-2480	35	16	the	the	DET
iajs-2480	35	17	reliability	reliability	NOUN
iajs-2480	35	18	(	(	PUNCT
iajs-2480	35	19	𝑅	𝑅	PROPN
iajs-2480	35	20	of	of	ADP
iajs-2480	35	21	k	k	PROPN
iajs-2480	35	22	parallel	parallel	ADJ
iajs-2480	35	23	components	component	NOUN
iajs-2480	35	24	system	system	NOUN
iajs-2480	35	25	in	in	ADP
iajs-2480	35	26	stress	stress	NOUN
iajs-2480	35	27	-	-	PUNCT
iajs-2480	35	28	strength	strength	NOUN
iajs-2480	35	29	model	model	NOUN
iajs-2480	35	30	(	(	PUNCT
iajs-2480	35	31	rk	rk	NOUN
iajs-2480	35	32	=	=	PRON
iajs-2480	35	33	p(y	p(y	PROPN
iajs-2480	35	34	<	<	X
iajs-2480	35	35	max	max	PROPN
iajs-2480	35	36	.	.	PUNCT
iajs-2480	36	1	x1,x2,	x1,x2,	PROPN
iajs-2480	36	2	…	…	SYM
iajs-2480	36	3	xk	xk	NOUN
iajs-2480	36	4	)	)	PUNCT
iajs-2480	36	5	)	)	PUNCT
iajs-2480	36	6	when	when	SCONJ
iajs-2480	36	7	they	they	PRON
iajs-2480	36	8	are	be	AUX
iajs-2480	36	9	follows	follow	VERB
iajs-2480	36	10	the	the	DET
iajs-2480	36	11	generalized	generalize	VERB
iajs-2480	36	12	exponential	exponential	ADJ
iajs-2480	36	13	distribution	distribution	NOUN
iajs-2480	36	14	(	(	PUNCT
iajs-2480	36	15	ged	ge	VERB
iajs-2480	36	16	)	)	PUNCT
iajs-2480	36	17	.	.	PUNCT
iajs-2480	37	1	the	the	DET
iajs-2480	37	2	probability	probability	NOUN
iajs-2480	37	3	density	density	NOUN
iajs-2480	37	4	function	function	NOUN
iajs-2480	37	5	for	for	ADP
iajs-2480	37	6	a	a	DET
iajs-2480	37	7	r.	r.	PROPN
iajs-2480	37	8	v.	v.	PROPN
iajs-2480	38	1	x	x	PRON
iajs-2480	38	2	follows	follow	VERB
iajs-2480	38	3	the	the	DET
iajs-2480	38	4	generalized	generalize	VERB
iajs-2480	38	5	exponential	exponential	ADJ
iajs-2480	38	6	distribution	distribution	NOUN
iajs-2480	38	7	(	(	PUNCT
iajs-2480	38	8	ged	ge	VERB
iajs-2480	38	9	)	)	PUNCT
iajs-2480	38	10	is	be	AUX
iajs-2480	38	11	[	[	X
iajs-2480	38	12	9	9	NUM
iajs-2480	38	13	]	]	PUNCT
iajs-2480	38	14	.	.	PUNCT
iajs-2480	39	1	𝑓	𝑓	PRON
iajs-2480	39	2	𝑥	𝑥	NOUN
iajs-2480	39	3	;	;	PUNCT
iajs-2480	39	4	α	α	X
iajs-2480	39	5	,	,	PUNCT
iajs-2480	39	6	θ	θ	PROPN
iajs-2480	39	7	𝑒	𝑒	PROPN
iajs-2480	39	8	1	1	NUM
iajs-2480	39	9	𝑒	𝑒	NOUN
iajs-2480	39	10	,	,	PUNCT
iajs-2480	39	11	x>0	x>0	PROPN
iajs-2480	39	12	,	,	PUNCT
iajs-2480	39	13	α	α	X
iajs-2480	39	14	,	,	PUNCT
iajs-2480	39	15	θ	θ	PROPN
iajs-2480	39	16	>	>	X
iajs-2480	39	17	0	0	PUNCT
iajs-2480	39	18	whereas	whereas	SCONJ
iajs-2480	39	19	α	α	PRON
iajs-2480	39	20	refer	refer	VERB
iajs-2480	39	21	to	to	PART
iajs-2480	39	22	shape	shape	NOUN
iajs-2480	39	23	parameter	parameter	NOUN
iajs-2480	39	24	and	and	CCONJ
iajs-2480	39	25	θ	θ	NOUN
iajs-2480	39	26	refer	refer	VERB
iajs-2480	39	27	to	to	PART
iajs-2480	39	28	scale	scale	NOUN
iajs-2480	39	29	parameter	parameter	NOUN
iajs-2480	39	30	and	and	CCONJ
iajs-2480	39	31	the	the	DET
iajs-2480	39	32	c.d.f	c.d.f	NOUN
iajs-2480	39	33	.	.	PUNCT
iajs-2480	40	1	is	be	AUX
iajs-2480	40	2	:	:	PUNCT
iajs-2480	40	3	𝐹	𝐹	PROPN
iajs-2480	40	4	𝑥	𝑥	NOUN
iajs-2480	40	5	;	;	PUNCT
iajs-2480	40	6	α	α	X
iajs-2480	40	7	,	,	PUNCT
iajs-2480	40	8	θ	θ	PROPN
iajs-2480	40	9	1	1	NUM
iajs-2480	40	10	𝑒	𝑒	VERB
iajs-2480	40	11	in	in	ADP
iajs-2480	40	12	this	this	DET
iajs-2480	40	13	work	work	NOUN
iajs-2480	40	14	,	,	PUNCT
iajs-2480	40	15	we	we	PRON
iajs-2480	40	16	employee	employee	VERB
iajs-2480	40	17	the	the	DET
iajs-2480	40	18	case	case	NOUN
iajs-2480	40	19	when	when	SCONJ
iajs-2480	40	20	θ	θ	PROPN
iajs-2480	40	21	will	will	AUX
iajs-2480	40	22	be	be	AUX
iajs-2480	40	23	known	know	VERB
iajs-2480	40	24	(	(	PUNCT
iajs-2480	40	25	θ	θ	NOUN
iajs-2480	40	26	1	1	NUM
iajs-2480	40	27	)	)	PUNCT
iajs-2480	40	28	,	,	PUNCT
iajs-2480	40	29	this	this	PRON
iajs-2480	40	30	implies	imply	VERB
iajs-2480	40	31	to	to	ADP
iajs-2480	40	32	:	:	PUNCT
iajs-2480	40	33	𝑓	𝑓	PROPN
iajs-2480	40	34	𝑥	𝑥	NOUN
iajs-2480	40	35	;	;	PUNCT
iajs-2480	40	36	𝛼	𝛼	X
iajs-2480	40	37	𝛼𝑒	𝛼𝑒	NUM
iajs-2480	40	38	1	1	NUM
iajs-2480	40	39	𝑒	𝑒	PROPN
iajs-2480	40	40	x>0	x>0	PROPN
iajs-2480	40	41	,	,	PUNCT
iajs-2480	40	42	α>0	α>0	NOUN
iajs-2480	40	43	(	(	PUNCT
iajs-2480	40	44	1	1	NUM
iajs-2480	40	45	)	)	PUNCT
iajs-2480	40	46	and	and	CCONJ
iajs-2480	40	47	the	the	DET
iajs-2480	40	48	cumulative	cumulative	ADJ
iajs-2480	40	49	distribution	distribution	NOUN
iajs-2480	40	50	function	function	NOUN
iajs-2480	40	51	will	will	AUX
iajs-2480	40	52	be	be	AUX
iajs-2480	40	53	:	:	PUNCT
iajs-2480	40	54	f	f	PROPN
iajs-2480	40	55	x	x	NOUN
iajs-2480	40	56	;	;	PUNCT
iajs-2480	40	57	𝛼	𝛼	PROPN
iajs-2480	40	58	1	1	NUM
iajs-2480	40	59	𝑒	𝑒	PROPN
iajs-2480	40	60	x>0	x>0	PROPN
iajs-2480	40	61	,	,	PUNCT
iajs-2480	40	62	α>0	α>0	NOUN
iajs-2480	40	63	(	(	PUNCT
iajs-2480	40	64	2	2	X
iajs-2480	40	65	)	)	PUNCT
iajs-2480	40	66	assume	assume	VERB
iajs-2480	40	67	x1,x2,	x1,x2,	PROPN
iajs-2480	40	68	…	…	SYM
iajs-2480	40	69	xk	xk	PROPN
iajs-2480	40	70	arises	arise	VERB
iajs-2480	40	71	strength	strength	NOUN
iajs-2480	40	72	have	have	AUX
iajs-2480	40	73	(	(	PUNCT
iajs-2480	40	74	ged	ge	VERB
iajs-2480	40	75	)	)	PUNCT
iajs-2480	40	76	the	the	DET
iajs-2480	40	77	distribution	distribution	NOUN
iajs-2480	40	78	in	in	ADP
iajs-2480	40	79	(	(	PUNCT
iajs-2480	40	80	1	1	NUM
iajs-2480	40	81	)	)	PUNCT
iajs-2480	40	82	with	with	ADP
iajs-2480	40	83	parameter	parameter	PROPN
iajs-2480	40	84	𝛼	𝛼	PROPN
iajs-2480	40	85	,	,	PUNCT
iajs-2480	40	86	i=1,2,	i=1,2,	NOUN
iajs-2480	40	87	…	…	SYM
iajs-2480	40	88	k	k	NOUN
iajs-2480	40	89	all	all	DET
iajs-2480	40	90	the	the	DET
iajs-2480	40	91	 	 	SPACE
iajs-2480	40	92	components	component	NOUN
iajs-2480	40	93	are	be	AUX
iajs-2480	40	94	subjected	subject	VERB
iajs-2480	40	95	to	to	ADP
iajs-2480	40	96	the	the	DET
iajs-2480	40	97	stress	stress	NOUN
iajs-2480	40	98	y	y	PROPN
iajs-2480	40	99	 	 	SPACE
iajs-2480	40	100	that	that	PRON
iajs-2480	40	101	 	 	SPACE
iajs-2480	40	102	has	have	VERB
iajs-2480	40	103	the	the	DET
iajs-2480	40	104	same	same	ADJ
iajs-2480	40	105	distribution	distribution	NOUN
iajs-2480	40	106	with	with	ADP
iajs-2480	40	107	parameter	parameter	NOUN
iajs-2480	40	108	𝛼	𝛼	PROPN
iajs-2480	40	109	,	,	PUNCT
iajs-2480	40	110	and	and	CCONJ
iajs-2480	40	111	assumes	assume	VERB
iajs-2480	40	112	to	to	PART
iajs-2480	40	113	be	be	AUX
iajs-2480	40	114	independent	independent	ADJ
iajs-2480	40	115	and	and	CCONJ
iajs-2480	40	116	not	not	PART
iajs-2480	40	117	identical	identical	ADJ
iajs-2480	40	118	.	.	PUNCT
iajs-2480	41	1	now	now	ADV
iajs-2480	41	2	,	,	PUNCT
iajs-2480	41	3	the	the	DET
iajs-2480	41	4	reliability	reliability	NOUN
iajs-2480	41	5	of	of	ADP
iajs-2480	41	6	the	the	DET
iajs-2480	41	7	reliability	reliability	NOUN
iajs-2480	41	8	k	k	PROPN
iajs-2480	41	9	component	component	NOUN
iajs-2480	41	10	parallel	parallel	NOUN
iajs-2480	41	11	system	system	NOUN
iajs-2480	41	12	of	of	ADP
iajs-2480	41	13	the	the	DET
iajs-2480	41	14	stress	stress	NOUN
iajs-2480	41	15	-	-	PUNCT
iajs-2480	41	16	strength	strength	NOUN
iajs-2480	41	17	model	model	NOUN
iajs-2480	41	18	is	be	AUX
iajs-2480	41	19	defined	define	VERB
iajs-2480	41	20	as	as	ADP
iajs-2480	41	21	below[6	below[6	NOUN
iajs-2480	41	22	]	]	X
iajs-2480	41	23	.	.	PUNCT
iajs-2480	42	1	rk	rk	PRON
iajs-2480	43	1	=	=	PRON
iajs-2480	43	2	p(y	p(y	PROPN
iajs-2480	43	3	<	<	X
iajs-2480	43	4	max	max	PROPN
iajs-2480	43	5	x1,x2,	x1,x2,	PROPN
iajs-2480	43	6	…	…	SYM
iajs-2480	43	7	xk	xk	X
iajs-2480	43	8	)	)	PUNCT
iajs-2480	43	9	suppose	suppose	VERB
iajs-2480	43	10	z	z	NOUN
iajs-2480	43	11	=	=	NOUN
iajs-2480	43	12	max(x1,x2,	max(x1,x2,	NUM
iajs-2480	43	13	…	…	SYM
iajs-2480	43	14	xk	xk	NOUN
iajs-2480	43	15	)	)	PUNCT
iajs-2480	43	16	  	  	SPACE
iajs-2480	43	17	160	160	NUM
iajs-2480	43	18	ibn	ibn	PROPN
iajs-2480	43	19	al	al	PROPN
iajs-2480	43	20	-	-	PUNCT
iajs-2480	43	21	haitham	haitham	PROPN
iajs-2480	43	22	jour	jour	X
iajs-2480	43	23	.	.	PROPN
iajs-2480	44	1	for	for	ADP
iajs-2480	44	2	pure	pure	ADJ
iajs-2480	44	3	&	&	CCONJ
iajs-2480	44	4	appl	appl	PROPN
iajs-2480	44	5	.	.	PUNCT
iajs-2480	45	1	sci	sci	PROPN
iajs-2480	45	2	.	.	PROPN
iajs-2480	46	1	33	33	NUM
iajs-2480	46	2	(	(	PUNCT
iajs-2480	46	3	3	3	NUM
iajs-2480	46	4	)	)	PUNCT
iajs-2480	46	5	2020	2020	NUM
iajs-2480	46	6	r	r	NOUN
iajs-2480	46	7	𝐹	𝐹	PROPN
iajs-2480	46	8	𝑦	𝑦	NOUN
iajs-2480	46	9	𝑓	𝑓	PRON
iajs-2480	46	10	𝑦	𝑦	NUM
iajs-2480	46	11	𝑑𝑦	𝑑𝑦	NOUN
iajs-2480	46	12	fz(z)=p(z	fz(z)=p(z	NOUN
iajs-2480	46	13	<	<	NOUN
iajs-2480	46	14	z	z	NOUN
iajs-2480	46	15	)	)	PUNCT
iajs-2480	47	1	=	=	NOUN
iajs-2480	47	2	p(x1	p(x1	X
iajs-2480	47	3	<	<	X
iajs-2480	47	4	z)p(x2	z)p(x2	X
iajs-2480	47	5	<	<	X
iajs-2480	47	6	z)	z)	NUM
iajs-2480	47	7	…	…	X
iajs-2480	47	8	p(xk	p(xk	ADJ
iajs-2480	47	9	<	<	X
iajs-2480	47	10	z	z	X
iajs-2480	47	11	)	)	PUNCT
iajs-2480	47	12	=	=	SYM
iajs-2480	47	13	1	1	NUM
iajs-2480	47	14	𝑒	𝑒	PROPN
iajs-2480	47	15	1	1	NUM
iajs-2480	47	16	𝑒	𝑒	PRON
iajs-2480	47	17	…	…	PUNCT
iajs-2480	47	18	1	1	NUM
iajs-2480	47	19	𝑒	𝑒	NOUN
iajs-2480	47	20	=	=	SYM
iajs-2480	47	21	1	1	NUM
iajs-2480	47	22	𝑒	𝑒	PROPN
iajs-2480	47	23	∑	∑	DET
iajs-2480	47	24	𝐹	𝐹	PROPN
iajs-2480	47	25	𝑦	𝑦	NOUN
iajs-2480	47	26	=	=	NUM
iajs-2480	47	27	11	11	NUM
iajs-2480	47	28	𝑒	𝑒	PUNCT
iajs-2480	47	29	∑	∑	ADP
iajs-2480	47	30	r	r	NOUN
iajs-2480	47	31	1	1	NUM
iajs-2480	47	32	1	1	NUM
iajs-2480	47	33	𝑒	𝑒	ADP
iajs-2480	47	34	∑	∑	DET
iajs-2480	47	35	𝛼	𝛼	PROPN
iajs-2480	47	36	𝑒	𝑒	PROPN
iajs-2480	47	37	1	1	NUM
iajs-2480	47	38	𝑒	𝑒	ADP
iajs-2480	47	39	dy	dy	NOUN
iajs-2480	47	40	r	r	NOUN
iajs-2480	47	41	∑	∑	PROPN
iajs-2480	47	42	∑	∑	PUNCT
iajs-2480	47	43	(	(	PUNCT
iajs-2480	47	44	3	3	NUM
iajs-2480	47	45	)	)	SYM
iajs-2480	47	46	2	2	NUM
iajs-2480	47	47	.	.	X
iajs-2480	47	48	estimation	estimation	NOUN
iajs-2480	47	49	methods	method	NOUN
iajs-2480	47	50	of	of	ADP
iajs-2480	47	51	rk	rk	NOUN
iajs-2480	47	52	:	:	PUNCT
iajs-2480	47	53	2	2	NUM
iajs-2480	47	54	-	-	SYM
iajs-2480	47	55	1	1	NUM
iajs-2480	47	56	maximum	maximum	ADJ
iajs-2480	47	57	likelihood	likelihood	NOUN
iajs-2480	47	58	estimator	estimator	NOUN
iajs-2480	47	59	(	(	PUNCT
iajs-2480	47	60	mle	mle	PROPN
iajs-2480	47	61	):	):	PUNCT
iajs-2480	47	62	let	let	VERB
iajs-2480	47	63	k	k	PRON
iajs-2480	47	64	be	be	AUX
iajs-2480	47	65	a	a	DET
iajs-2480	47	66	component	component	NOUN
iajs-2480	47	67	of	of	ADP
iajs-2480	47	68	a	a	DET
iajs-2480	47	69	system	system	NOUN
iajs-2480	47	70	is	be	AUX
iajs-2480	47	71	put	put	VERB
iajs-2480	47	72	on	on	ADP
iajs-2480	47	73	the	the	DET
iajs-2480	47	74	life	life	NOUN
iajs-2480	47	75	–	–	PUNCT
iajs-2480	47	76	testing	testing	NOUN
iajs-2480	47	77	experiment	experiment	NOUN
iajs-2480	47	78	.	.	PUNCT
iajs-2480	48	1	suppose	suppose	VERB
iajs-2480	48	2	𝑥	𝑥	INTJ
iajs-2480	48	3	,	,	PUNCT
iajs-2480	48	4	𝑥	𝑥	X
iajs-2480	48	5	,	,	PUNCT
iajs-2480	48	6	…	…	PUNCT
iajs-2480	48	7	,	,	PUNCT
iajs-2480	48	8	𝑥	𝑥	X
iajs-2480	48	9	,	,	PUNCT
iajs-2480	48	10	𝑥	𝑥	X
iajs-2480	48	11	,	,	PUNCT
iajs-2480	48	12	𝑥	𝑥	X
iajs-2480	48	13	,	,	PUNCT
iajs-2480	48	14	…	…	PUNCT
iajs-2480	48	15	,	,	PUNCT
iajs-2480	48	16	𝑥	𝑥	PRON
iajs-2480	48	17	,	,	PUNCT
iajs-2480	48	18	…	…	PUNCT
iajs-2480	48	19	,	,	PUNCT
iajs-2480	48	20	𝑥	𝑥	X
iajs-2480	48	21	,	,	PUNCT
iajs-2480	48	22	𝑥	𝑥	X
iajs-2480	48	23	,	,	PUNCT
iajs-2480	48	24	…	…	PUNCT
iajs-2480	48	25	,	,	PUNCT
iajs-2480	48	26	𝑥	𝑥	NOUN
iajs-2480	48	27	,	,	PUNCT
iajs-2480	48	28	and	and	CCONJ
iajs-2480	48	29	𝑦	𝑦	NOUN
iajs-2480	48	30	;	;	PUNCT
iajs-2480	48	31	t=1,2,	t=1,2,	ADP
iajs-2480	48	32	…	…	PUNCT
iajs-2480	48	33	,m	,m	PUNCT
iajs-2480	48	34	.	.	PUNCT
iajs-2480	49	1	then	then	ADV
iajs-2480	49	2	the	the	DET
iajs-2480	49	3	likelihood	likelihood	NOUN
iajs-2480	49	4	function	function	NOUN
iajs-2480	49	5	of	of	ADP
iajs-2480	49	6	the	the	DET
iajs-2480	49	7	mentioned	mention	VERB
iajs-2480	49	8	system	system	NOUN
iajs-2480	49	9	will	will	AUX
iajs-2480	49	10	be[7	be[7	VERB
iajs-2480	49	11	]	]	PUNCT
iajs-2480	49	12	.	.	PUNCT
iajs-2480	50	1	𝑙	𝑙	X
iajs-2480	50	2	l	l	NOUN
iajs-2480	50	3	𝛼	𝛼	NOUN
iajs-2480	50	4	,	,	PUNCT
iajs-2480	50	5	1	1	NUM
iajs-2480	50	6	;	;	PUNCT
iajs-2480	50	7	𝑥	𝑥	X
iajs-2480	50	8	,	,	PUNCT
iajs-2480	50	9	𝑦	𝑦	PRON
iajs-2480	50	10	∏	∏	PROPN
iajs-2480	50	11	∏	∏	PROPN
iajs-2480	50	12	𝑓	𝑓	PRON
iajs-2480	50	13	𝑥	𝑥	X
iajs-2480	50	14	∏	∏	PROPN
iajs-2480	50	15	𝑔	𝑔	PROPN
iajs-2480	50	16	𝑦	𝑦	NOUN
iajs-2480	50	17	=	=	SYM
iajs-2480	50	18	∏	∏	PROPN
iajs-2480	50	19	𝛼	𝛼	SYM
iajs-2480	50	20	∏	∏	PROPN
iajs-2480	50	21	∏	∏	PROPN
iajs-2480	50	22	𝑒	𝑒	PROPN
iajs-2480	50	23	∑	∑	PROPN
iajs-2480	50	24	∑	∑	PROPN
iajs-2480	50	25	∏	∏	PROPN
iajs-2480	50	26	∏	∏	PROPN
iajs-2480	50	27	1	1	NUM
iajs-2480	50	28	𝑒	𝑒	PROPN
iajs-2480	50	29	𝛼	𝛼	X
iajs-2480	50	30	∏	∏	PROPN
iajs-2480	50	31	𝑒	𝑒	PROPN
iajs-2480	50	32	∑	∑	PROPN
iajs-2480	50	33	∏	∏	PROPN
iajs-2480	50	34	1	1	NUM
iajs-2480	50	35	𝑒	𝑒	AUX
iajs-2480	50	36	take	take	VERB
iajs-2480	50	37	the	the	DET
iajs-2480	50	38	logarithm	logarithm	NOUN
iajs-2480	50	39	of	of	ADP
iajs-2480	50	40	both	both	DET
iajs-2480	50	41	sides	side	NOUN
iajs-2480	50	42	,	,	PUNCT
iajs-2480	50	43	we	we	PRON
iajs-2480	50	44	get	get	VERB
iajs-2480	50	45	:	:	PUNCT
iajs-2480	50	46	ln(l)=𝑛	ln(l)=𝑛	PROPN
iajs-2480	50	47	∑	∑	PUNCT
iajs-2480	50	48	𝑙𝑛𝛼	𝑙𝑛𝛼	NOUN
iajs-2480	50	49	∑	∑	PROPN
iajs-2480	50	50	∑	∑	PART
iajs-2480	50	51	𝑥	𝑥	PRON
iajs-2480	50	52	𝛼	𝛼	SYM
iajs-2480	50	53	1	1	NUM
iajs-2480	50	54	∑	∑	PROPN
iajs-2480	50	55	∑	∑	PROPN
iajs-2480	50	56	𝑙𝑛	𝑙𝑛	NOUN
iajs-2480	50	57	1	1	NUM
iajs-2480	50	58	𝑒	𝑒	ADP
iajs-2480	50	59	𝑚	𝑚	ADP
iajs-2480	50	60	𝑙𝑛𝛼	𝑙𝑛𝛼	NOUN
iajs-2480	50	61	∑	∑	PUNCT
iajs-2480	50	62	𝑦	𝑦	NOUN
iajs-2480	50	63	𝛼	𝛼	NOUN
iajs-2480	50	64	1	1	NUM
iajs-2480	50	65	∑	∑	PART
iajs-2480	50	66	ln	ln	PROPN
iajs-2480	50	67	1	1	NUM
iajs-2480	50	68	𝑒	𝑒	AUX
iajs-2480	50	69	derive	derive	VERB
iajs-2480	50	70	the	the	DET
iajs-2480	50	71	last	last	ADJ
iajs-2480	50	72	equation	equation	NOUN
iajs-2480	50	73	with	with	ADP
iajs-2480	50	74	respect	respect	NOUN
iajs-2480	50	75	to	to	ADP
iajs-2480	50	76	the	the	DET
iajs-2480	50	77	unknown	unknown	ADJ
iajs-2480	50	78	shape	shape	NOUN
iajs-2480	50	79	parameters	parameter	NOUN
iajs-2480	50	80	𝛼	𝛼	PROPN
iajs-2480	50	81	(	(	PUNCT
iajs-2480	50	82	i=1,2,	i=1,2,	NOUN
iajs-2480	50	83	…	…	PUNCT
iajs-2480	50	84	,k+1	,k+1	X
iajs-2480	50	85	)	)	PUNCT
iajs-2480	50	86	and	and	CCONJ
iajs-2480	50	87	equate	equate	VERB
iajs-2480	50	88	the	the	DET
iajs-2480	50	89	result	result	NOUN
iajs-2480	50	90	to	to	ADP
iajs-2480	50	91	zero	zero	NUM
iajs-2480	50	92	,	,	PUNCT
iajs-2480	50	93	we	we	PRON
iajs-2480	50	94	get	get	VERB
iajs-2480	50	95	:	:	PUNCT
iajs-2480	50	96	∑	∑	ADV
iajs-2480	50	97	𝑙𝑛	𝑙𝑛	X
iajs-2480	50	98	1	1	NUM
iajs-2480	50	99	𝑒	𝑒	PROPN
iajs-2480	50	100	0	0	NUM
iajs-2480	50	101	,	,	PUNCT
iajs-2480	50	102	i=1,2,	i=1,2,	NOUN
iajs-2480	50	103	…	…	SYM
iajs-2480	50	104	,k	,k	PUNCT
iajs-2480	50	105	∑	∑	PUNCT
iajs-2480	50	106	𝑙𝑛	𝑙𝑛	NOUN
iajs-2480	50	107	1	1	NUM
iajs-2480	50	108	𝑒	𝑒	ADV
iajs-2480	50	109	0	0	NUM
iajs-2480	50	110	thus	thus	ADV
iajs-2480	50	111	,	,	PUNCT
iajs-2480	50	112	the	the	DET
iajs-2480	50	113	maximum	maximum	ADJ
iajs-2480	50	114	likelihood	likelihood	NOUN
iajs-2480	50	115	estimator	estimator	NOUN
iajs-2480	50	116	of	of	ADP
iajs-2480	50	117	the	the	DET
iajs-2480	50	118	parameter	parameter	NOUN
iajs-2480	50	119	𝛼	𝛼	PROPN
iajs-2480	50	120	(	(	PUNCT
iajs-2480	50	121	i=1,2,	i=1,2,	NOUN
iajs-2480	50	122	…	…	PUNCT
iajs-2480	50	123	,k+1	,k+1	X
iajs-2480	50	124	)	)	PUNCT
iajs-2480	50	125	is	be	AUX
iajs-2480	50	126	as	as	SCONJ
iajs-2480	50	127	follows	follow	VERB
iajs-2480	50	128	:	:	PUNCT
iajs-2480	50	129	𝛼	𝛼	PART
iajs-2480	50	130	∑	∑	PROPN
iajs-2480	50	131	;	;	PUNCT
iajs-2480	50	132	i=1,2,	i=1,2,	NOUN
iajs-2480	50	133	…	…	SYM
iajs-2480	50	134	,k	,k	PUNCT
iajs-2480	50	135	(	(	PUNCT
iajs-2480	50	136	4	4	X
iajs-2480	50	137	)	)	PUNCT
iajs-2480	50	138	𝛼	𝛼	X
iajs-2480	50	139	∑	∑	PROPN
iajs-2480	50	140	(	(	PUNCT
iajs-2480	50	141	5	5	NUM
iajs-2480	50	142	)	)	PUNCT
iajs-2480	50	143	to	to	PART
iajs-2480	50	144	obtain	obtain	VERB
iajs-2480	50	145	the	the	DET
iajs-2480	50	146	reliability	reliability	NOUN
iajs-2480	50	147	estimation	estimation	NOUN
iajs-2480	50	148	for	for	ADP
iajs-2480	50	149	k	k	PROPN
iajs-2480	50	150	component	component	NOUN
iajs-2480	50	151	parallel	parallel	NOUN
iajs-2480	50	152	system	system	NOUN
iajs-2480	50	153	of	of	ADP
iajs-2480	50	154	(	(	PUNCT
iajs-2480	50	155	s	s	NOUN
iajs-2480	50	156	-	-	PUNCT
iajs-2480	50	157	s	s	NOUN
iajs-2480	50	158	)	)	PUNCT
iajs-2480	50	159	model	model	NOUN
iajs-2480	50	160	(	(	PUNCT
iajs-2480	50	161	𝑅	𝑅	NOUN
iajs-2480	50	162	using	use	VERB
iajs-2480	50	163	maximum	maximum	ADJ
iajs-2480	50	164	likelihood	likelihood	NOUN
iajs-2480	50	165	method	method	NOUN
iajs-2480	50	166	,	,	PUNCT
iajs-2480	50	167	we	we	PRON
iajs-2480	50	168	must	must	AUX
iajs-2480	50	169	substitute	substitute	VERB
iajs-2480	50	170	𝛼	𝛼	PROPN
iajs-2480	50	171	and	and	CCONJ
iajs-2480	50	172	𝛼	𝛼	X
iajs-2480	50	173	in	in	ADP
iajs-2480	50	174	equation	equation	NOUN
iajs-2480	50	175	(	(	PUNCT
iajs-2480	50	176	3	3	NUM
iajs-2480	50	177	)	)	PUNCT
iajs-2480	50	178	then	then	ADV
iajs-2480	50	179	we	we	PRON
iajs-2480	50	180	get	get	VERB
iajs-2480	50	181	the	the	DET
iajs-2480	50	182	following	following	NOUN
iajs-2480	50	183	:	:	PUNCT
iajs-2480	50	184	r	r	NOUN
iajs-2480	50	185	∑	∑	PROPN
iajs-2480	50	186	∑	∑	PUNCT
iajs-2480	50	187	(	(	PUNCT
iajs-2480	50	188	6	6	NUM
iajs-2480	50	189	)	)	SYM
iajs-2480	50	190	2	2	NUM
iajs-2480	50	191	shrinkage	shrinkage	NOUN
iajs-2480	50	192	estimation	estimation	NOUN
iajs-2480	50	193	method	method	NOUN
iajs-2480	50	194	(	(	PUNCT
iajs-2480	50	195	sh):-2	sh):-2	PROPN
iajs-2480	50	196	thompson	thompson	NOUN
iajs-2480	50	197	in	in	ADP
iajs-2480	50	198	1968	1968	NUM
iajs-2480	50	199	suggested	suggest	VERB
iajs-2480	50	200	the	the	DET
iajs-2480	50	201	problem	problem	NOUN
iajs-2480	50	202	of	of	ADP
iajs-2480	50	203	shrink	shrink	VERB
iajs-2480	50	204	a	a	DET
iajs-2480	50	205	usual	usual	ADJ
iajs-2480	50	206	estimator	estimator	NOUN
iajs-2480	50	207	𝛼	𝛼	NOUN
iajs-2480	50	208	unbiased	unbiased	ADJ
iajs-2480	50	209	of	of	ADP
iajs-2480	50	210	the	the	DET
iajs-2480	50	211	parameter	parameter	NOUN
iajs-2480	50	212	𝛼	𝛼	PUNCT
iajs-2480	50	213	to	to	ADP
iajs-2480	50	214	prior	prior	ADJ
iajs-2480	50	215	information	information	NOUN
iajs-2480	50	216	𝛼	𝛼	NOUN
iajs-2480	50	217	using	use	VERB
iajs-2480	50	218	shrinkage	shrinkage	NOUN
iajs-2480	50	219	weight	weight	NOUN
iajs-2480	50	220	factor	factor	NOUN
iajs-2480	50	221	∅	∅	NOUN
iajs-2480	50	222	𝛼	𝛼	NOUN
iajs-2480	50	223	)	)	PUNCT
iajs-2480	50	224	,	,	PUNCT
iajs-2480	50	225	such	such	ADJ
iajs-2480	50	226	that	that	SCONJ
iajs-2480	50	227	0	0	NUM
iajs-2480	50	228	∅	∅	NOUN
iajs-2480	50	229	𝛼	𝛼	NOUN
iajs-2480	50	230	1	1	NUM
iajs-2480	50	231	.	.	PUNCT
iajs-2480	50	232	thompson	thompson	PROPN
iajs-2480	50	233	said	say	VERB
iajs-2480	50	234	that	that	SCONJ
iajs-2480	50	235	"	"	PUNCT
iajs-2480	50	236	we	we	PRON
iajs-2480	50	237	are	be	AUX
iajs-2480	50	238	estimating	estimate	VERB
iajs-2480	50	239	𝛼	𝛼	PRON
iajs-2480	51	1	and	and	CCONJ
iajs-2480	51	2	we	we	PRON
iajs-2480	51	3	believe	believe	VERB
iajs-2480	51	4	𝛼	𝛼	NOUN
iajs-2480	51	5	is	be	AUX
iajs-2480	51	6	closed	close	VERB
iajs-2480	51	7	to	to	ADP
iajs-2480	51	8	the	the	DET
iajs-2480	51	9	true	true	ADJ
iajs-2480	51	10	value	value	NOUN
iajs-2480	51	11	of	of	ADP
iajs-2480	51	12	𝛼	𝛼	NOUN
iajs-2480	51	13	,	,	PUNCT
iajs-2480	51	14	that	that	PRON
iajs-2480	51	15	is	be	AUX
iajs-2480	51	16	mean	mean	VERB
iajs-2480	51	17	something	something	PRON
iajs-2480	51	18	bad	bad	ADJ
iajs-2480	51	19	happens	happen	VERB
iajs-2480	51	20	if	if	SCONJ
iajs-2480	51	21	𝛼	𝛼	VERB
iajs-2480	51	22	𝛼	𝛼	VERB
iajs-2480	52	1	and	and	CCONJ
iajs-2480	52	2	we	we	PRON
iajs-2480	52	3	do	do	AUX
iajs-2480	52	4	not	not	PART
iajs-2480	52	5	use	use	VERB
iajs-2480	52	6	𝛼	𝛼	INTJ
iajs-2480	52	7	"	"	PUNCT
iajs-2480	52	8	.	.	PUNCT
iajs-2480	53	1	thus	thus	ADV
iajs-2480	53	2	,	,	PUNCT
iajs-2480	53	3	the	the	DET
iajs-2480	53	4	form	form	NOUN
iajs-2480	53	5	of	of	ADP
iajs-2480	53	6	shrinkage	shrinkage	NOUN
iajs-2480	53	7	estimator	estimator	NOUN
iajs-2480	53	8	of	of	ADP
iajs-2480	53	9	α	α	PROPN
iajs-2480	53	10	denoted	denote	VERB
iajs-2480	53	11	by	by	ADP
iajs-2480	53	12	𝛼	𝛼	PRON
iajs-2480	53	13	defined	define	VERB
iajs-2480	53	14	as	as	ADP
iajs-2480	53	15	below	below	ADV
iajs-2480	53	16	:	:	PUNCT
iajs-2480	53	17	see	see	VERB
iajs-2480	53	18	in	in	ADP
iajs-2480	53	19	[	[	PUNCT
iajs-2480	53	20	10	10	NUM
iajs-2480	53	21	-	-	SYM
iajs-2480	53	22	14	14	NUM
iajs-2480	53	23	]	]	PUNCT
iajs-2480	53	24	.	.	PUNCT
iajs-2480	53	25	  	  	SPACE
iajs-2480	54	1	161	161	NUM
iajs-2480	54	2	ibn	ibn	PROPN
iajs-2480	54	3	al	al	PROPN
iajs-2480	54	4	-	-	PUNCT
iajs-2480	54	5	haitham	haitham	PROPN
iajs-2480	54	6	jour	jour	X
iajs-2480	54	7	.	.	PROPN
iajs-2480	54	8	for	for	ADP
iajs-2480	54	9	pure	pure	ADJ
iajs-2480	54	10	&	&	CCONJ
iajs-2480	54	11	appl	appl	PROPN
iajs-2480	54	12	.	.	PUNCT
iajs-2480	55	1	sci	sci	PROPN
iajs-2480	55	2	.	.	PROPN
iajs-2480	56	1	33	33	NUM
iajs-2480	56	2	(	(	PUNCT
iajs-2480	56	3	3	3	NUM
iajs-2480	56	4	)	)	PUNCT
iajs-2480	56	5	2020	2020	NUM
iajs-2480	56	6	𝛼	𝛼	NOUN
iajs-2480	56	7	∅	∅	NOUN
iajs-2480	56	8	𝛼	𝛼	NOUN
iajs-2480	56	9	𝛼	𝛼	SYM
iajs-2480	56	10	1	1	NUM
iajs-2480	56	11	∅	∅	NOUN
iajs-2480	56	12	𝛼	𝛼	ADP
iajs-2480	56	13	𝛼	𝛼	NOUN
iajs-2480	56	14	(	(	PUNCT
iajs-2480	56	15	7	7	NUM
iajs-2480	56	16	)	)	PUNCT
iajs-2480	56	17	now	now	ADV
iajs-2480	56	18	,	,	PUNCT
iajs-2480	56	19	we	we	PRON
iajs-2480	56	20	use	use	VERB
iajs-2480	56	21	the	the	DET
iajs-2480	56	22	unbiased	unbiased	ADJ
iajs-2480	56	23	estimator	estimator	NOUN
iajs-2480	56	24	𝛼	𝛼	PROPN
iajs-2480	56	25	as	as	ADP
iajs-2480	56	26	a	a	DET
iajs-2480	56	27	usual	usual	ADJ
iajs-2480	56	28	estimator	estimator	NOUN
iajs-2480	56	29	and	and	CCONJ
iajs-2480	56	30	𝛼	𝛼	NOUN
iajs-2480	56	31	estimator	estimator	NOUN
iajs-2480	56	32	as	as	ADP
iajs-2480	56	33	initial	initial	ADJ
iajs-2480	56	34	estimate	estimate	NOUN
iajs-2480	56	35	(	(	PUNCT
iajs-2480	56	36	prior	prior	ADJ
iajs-2480	56	37	estimation	estimation	NOUN
iajs-2480	56	38	)	)	PUNCT
iajs-2480	56	39	of	of	ADP
iajs-2480	56	40	α	α	PROPN
iajs-2480	56	41	in	in	ADP
iajs-2480	56	42	equation	equation	NOUN
iajs-2480	56	43	(	(	PUNCT
iajs-2480	56	44	7	7	NUM
iajs-2480	56	45	)	)	PUNCT
iajs-2480	56	46	.	.	PUNCT
iajs-2480	57	1	where	where	SCONJ
iajs-2480	57	2	∅	∅	NOUN
iajs-2480	57	3	𝛼	𝛼	PROPN
iajs-2480	57	4	denotes	denote	VERB
iajs-2480	57	5	the	the	DET
iajs-2480	57	6	shrinkage	shrinkage	NOUN
iajs-2480	57	7	weight	weight	NOUN
iajs-2480	57	8	factor	factor	NOUN
iajs-2480	57	9	as	as	SCONJ
iajs-2480	57	10	we	we	PRON
iajs-2480	57	11	mentioned	mention	VERB
iajs-2480	57	12	above	above	ADP
iajs-2480	57	13	such	such	DET
iajs-2480	57	14	that	that	SCONJ
iajs-2480	57	15	as	as	ADP
iajs-2480	57	16	0	0	NUM
iajs-2480	57	17	∅	∅	NOUN
iajs-2480	57	18	𝛼	𝛼	NOUN
iajs-2480	57	19	1	1	NUM
iajs-2480	57	20	,	,	PUNCT
iajs-2480	57	21	which	which	PRON
iajs-2480	57	22	may	may	AUX
iajs-2480	57	23	be	be	AUX
iajs-2480	57	24	a	a	DET
iajs-2480	57	25	function	function	NOUN
iajs-2480	57	26	of	of	ADP
iajs-2480	57	27	𝛼	𝛼	PRON
iajs-2480	57	28	,	,	PUNCT
iajs-2480	57	29	a	a	DET
iajs-2480	57	30	function	function	NOUN
iajs-2480	57	31	of	of	ADP
iajs-2480	57	32	sample	sample	NOUN
iajs-2480	57	33	size	size	NOUN
iajs-2480	57	34	(	(	PUNCT
iajs-2480	57	35	ni	ni	PROPN
iajs-2480	57	36	,	,	PUNCT
iajs-2480	57	37	m	m	PROPN
iajs-2480	57	38	)	)	PUNCT
iajs-2480	57	39	or	or	CCONJ
iajs-2480	57	40	may	may	AUX
iajs-2480	57	41	be	be	AUX
iajs-2480	57	42	a	a	DET
iajs-2480	57	43	constant	constant	ADJ
iajs-2480	57	44	or	or	CCONJ
iajs-2480	57	45	can	can	AUX
iajs-2480	57	46	be	be	AUX
iajs-2480	57	47	found	find	VERB
iajs-2480	57	48	by	by	ADP
iajs-2480	57	49	minimizing	minimize	VERB
iajs-2480	57	50	the	the	DET
iajs-2480	57	51	mean	mean	ADJ
iajs-2480	57	52	square	square	ADJ
iajs-2480	57	53	error	error	NOUN
iajs-2480	57	54	of	of	ADP
iajs-2480	57	55	𝛼	𝛼	PRON
iajs-2480	57	56	.	.	PUNCT
iajs-2480	58	1	thus	thus	ADV
iajs-2480	58	2	,	,	PUNCT
iajs-2480	58	3	the	the	DET
iajs-2480	58	4	shrinkage	shrinkage	NOUN
iajs-2480	58	5	estimator	estimator	NOUN
iajs-2480	58	6	for	for	ADP
iajs-2480	58	7	the	the	DET
iajs-2480	58	8	shape	shape	NOUN
iajs-2480	58	9	parameter	parameter	NOUN
iajs-2480	58	10	𝛼	𝛼	PROPN
iajs-2480	58	11	of	of	ADP
iajs-2480	58	12	ged	ged	ADJ
iajs-2480	58	13	will	will	AUX
iajs-2480	58	14	be	be	AUX
iajs-2480	58	15	as	as	SCONJ
iajs-2480	58	16	follows	follow	VERB
iajs-2480	58	17	:	:	PUNCT
iajs-2480	58	18	𝛼	𝛼	NOUN
iajs-2480	58	19	∅	∅	NOUN
iajs-2480	58	20	𝛼	𝛼	NOUN
iajs-2480	58	21	𝛼	𝛼	SYM
iajs-2480	58	22	1	1	NUM
iajs-2480	58	23	∅	∅	NOUN
iajs-2480	58	24	𝛼	𝛼	ADP
iajs-2480	58	25	𝛼	𝛼	NOUN
iajs-2480	58	26	(	(	PUNCT
iajs-2480	58	27	8)	8)	NUM
iajs-2480	58	28	where	where	SCONJ
iajs-2480	58	29	,	,	PUNCT
iajs-2480	58	30	𝛼	𝛼	PROPN
iajs-2480	58	31	𝛼	𝛼	X
iajs-2480	58	32	∑	∑	PROPN
iajs-2480	58	33	,	,	PUNCT
iajs-2480	58	34	i=1,2,	i=1,2,	NOUN
iajs-2480	58	35	...	...	PUNCT
iajs-2480	58	36	,k	,k	PUNCT
iajs-2480	58	37	implies	imply	VERB
iajs-2480	58	38	,	,	PUNCT
iajs-2480	58	39	e(𝛼	e(𝛼	PROPN
iajs-2480	58	40	)	)	PUNCT
iajs-2480	59	1	=	=	SYM
iajs-2480	59	2	𝛼	𝛼	PROPN
iajs-2480	59	3	and	and	CCONJ
iajs-2480	59	4	var(𝛼	var(𝛼	PROPN
iajs-2480	59	5	)	)	PUNCT
iajs-2480	60	1	=	=	NOUN
iajs-2480	60	2	,	,	PUNCT
iajs-2480	60	3	also	also	ADV
iajs-2480	60	4	,	,	PUNCT
iajs-2480	60	5	𝛼	𝛼	VERB
iajs-2480	60	6	𝛼	𝛼	NOUN
iajs-2480	60	7	∑	∑	PUNCT
iajs-2480	60	8	as	as	ADV
iajs-2480	60	9	well	well	ADV
iajs-2480	60	10	as	as	ADP
iajs-2480	60	11	,	,	PUNCT
iajs-2480	60	12	e(𝛼	e(𝛼	PROPN
iajs-2480	60	13	)	)	PUNCT
iajs-2480	61	1	=	=	SYM
iajs-2480	61	2	𝛼	𝛼	PROPN
iajs-2480	61	3	and	and	CCONJ
iajs-2480	61	4	var(𝛼	var(𝛼	PROPN
iajs-2480	61	5	)	)	PUNCT
iajs-2480	62	1	=	=	PUNCT
iajs-2480	62	2	.	.	PUNCT
iajs-2480	63	1	2	2	NUM
iajs-2480	63	2	-	-	SYM
iajs-2480	63	3	2	2	NUM
iajs-2480	63	4	-	-	SYM
iajs-2480	63	5	1	1	NUM
iajs-2480	63	6	shrinkage	shrinkage	NOUN
iajs-2480	63	7	estimator	estimator	NOUN
iajs-2480	63	8	using	use	VERB
iajs-2480	63	9	shrinkage	shrinkage	NOUN
iajs-2480	63	10	weight	weight	NOUN
iajs-2480	63	11	function	function	NOUN
iajs-2480	63	12	(	(	PUNCT
iajs-2480	63	13	sh1	sh1	PROPN
iajs-2480	63	14	):	):	PUNCT
iajs-2480	63	15	the	the	DET
iajs-2480	63	16	shrinkage	shrinkage	NOUN
iajs-2480	63	17	weight	weight	NOUN
iajs-2480	63	18	factor	factor	NOUN
iajs-2480	63	19	here	here	ADV
iajs-2480	63	20	is	be	AUX
iajs-2480	63	21	considered	consider	VERB
iajs-2480	63	22	as	as	ADP
iajs-2480	63	23	a	a	DET
iajs-2480	63	24	function	function	NOUN
iajs-2480	63	25	of	of	ADP
iajs-2480	63	26	ni	ni	PROPN
iajs-2480	63	27	and	and	CCONJ
iajs-2480	63	28	m	m	PROPN
iajs-2480	63	29	respectively	respectively	ADV
iajs-2480	63	30	as	as	ADP
iajs-2480	63	31	the	the	DET
iajs-2480	63	32	following	following	NOUN
iajs-2480	63	33	:	:	PUNCT
iajs-2480	63	34	∅	∅	NOUN
iajs-2480	63	35	𝛼	𝛼	NOUN
iajs-2480	63	36	𝑒	𝑒	ADV
iajs-2480	63	37	,	,	PUNCT
iajs-2480	63	38	and	and	CCONJ
iajs-2480	63	39	∅	∅	NOUN
iajs-2480	64	1	𝛼	𝛼	VERB
iajs-2480	64	2	𝑒	𝑒	ADV
iajs-2480	64	3	;	;	PUNCT
iajs-2480	64	4	i=1,2,	i=1,2,	NOUN
iajs-2480	64	5	…	…	PUNCT
iajs-2480	64	6	,k	,k	PUNCT
iajs-2480	64	7	then	then	ADV
iajs-2480	64	8	the	the	DET
iajs-2480	64	9	shrinkage	shrinkage	NOUN
iajs-2480	64	10	estimator	estimator	NOUN
iajs-2480	64	11	of	of	ADP
iajs-2480	64	12	𝛼	𝛼	PRON
iajs-2480	64	13	which	which	PRON
iajs-2480	64	14	is	be	AUX
iajs-2480	64	15	defined	define	VERB
iajs-2480	64	16	in	in	ADP
iajs-2480	64	17	equation	equation	NOUN
iajs-2480	64	18	(	(	PUNCT
iajs-2480	64	19	8)	8)	NUM
iajs-2480	64	20	using	use	VERB
iajs-2480	64	21	above	above	ADP
iajs-2480	64	22	shrinkage	shrinkage	NOUN
iajs-2480	64	23	weight	weight	NOUN
iajs-2480	64	24	function	function	NOUN
iajs-2480	64	25	will	will	AUX
iajs-2480	64	26	be	be	AUX
iajs-2480	64	27	as	as	ADV
iajs-2480	64	28	below	below	ADV
iajs-2480	64	29	,	,	PUNCT
iajs-2480	64	30	knowing	know	VERB
iajs-2480	64	31	that	that	SCONJ
iajs-2480	64	32	ni	ni	PROPN
iajs-2480	64	33	and	and	CCONJ
iajs-2480	64	34	m	m	PROPN
iajs-2480	64	35	are	be	AUX
iajs-2480	64	36	defined	define	VERB
iajs-2480	64	37	in	in	ADP
iajs-2480	64	38	subsection	subsection	NOUN
iajs-2480	64	39	(	(	PUNCT
iajs-2480	64	40	2	2	NUM
iajs-2480	64	41	-	-	SYM
iajs-2480	64	42	1	1	NUM
iajs-2480	64	43	)	)	PUNCT
iajs-2480	64	44	.	.	PUNCT
iajs-2480	65	1	𝛼	𝛼	PRON
iajs-2480	65	2	∅	∅	NOUN
iajs-2480	65	3	𝛼	𝛼	NOUN
iajs-2480	65	4	𝛼	𝛼	SYM
iajs-2480	65	5	1	1	NUM
iajs-2480	65	6	∅	∅	NOUN
iajs-2480	65	7	𝛼	𝛼	NOUN
iajs-2480	65	8	𝛼	𝛼	NOUN
iajs-2480	65	9	for	for	ADP
iajs-2480	65	10	i=1,2,	i=1,2,	NOUN
iajs-2480	65	11	…	…	PUNCT
iajs-2480	65	12	,k+1	,k+1	PUNCT
iajs-2480	65	13	(	(	PUNCT
iajs-2480	65	14	9	9	NUM
iajs-2480	65	15	)	)	PUNCT
iajs-2480	65	16	to	to	PART
iajs-2480	65	17	obtain	obtain	VERB
iajs-2480	65	18	the	the	DET
iajs-2480	65	19	reliability	reliability	NOUN
iajs-2480	65	20	estimation	estimation	NOUN
iajs-2480	65	21	for	for	ADP
iajs-2480	65	22	k	k	PROPN
iajs-2480	65	23	component	component	NOUN
iajs-2480	65	24	parallel	parallel	NOUN
iajs-2480	65	25	system	system	NOUN
iajs-2480	65	26	of	of	ADP
iajs-2480	65	27	(	(	PUNCT
iajs-2480	65	28	s	s	NOUN
iajs-2480	65	29	-	-	PUNCT
iajs-2480	65	30	s	s	NOUN
iajs-2480	65	31	)	)	PUNCT
iajs-2480	65	32	model	model	NOUN
iajs-2480	65	33	𝑅	𝑅	PROPN
iajs-2480	65	34	using	use	VERB
iajs-2480	65	35	shrinkage	shrinkage	NOUN
iajs-2480	65	36	weight	weight	NOUN
iajs-2480	65	37	function	function	NOUN
iajs-2480	65	38	,	,	PUNCT
iajs-2480	65	39	we	we	PRON
iajs-2480	65	40	must	must	AUX
iajs-2480	65	41	substitute	substitute	VERB
iajs-2480	65	42	equation	equation	NOUN
iajs-2480	65	43	(	(	PUNCT
iajs-2480	65	44	9	9	NUM
iajs-2480	65	45	)	)	PUNCT
iajs-2480	65	46	in	in	ADP
iajs-2480	65	47	equation	equation	NOUN
iajs-2480	65	48	(	(	PUNCT
iajs-2480	65	49	3	3	NUM
iajs-2480	65	50	)	)	PUNCT
iajs-2480	65	51	then	then	ADV
iajs-2480	65	52	we	we	PRON
iajs-2480	65	53	get	get	VERB
iajs-2480	65	54	the	the	DET
iajs-2480	65	55	following	following	NOUN
iajs-2480	65	56	:	:	PUNCT
iajs-2480	65	57	r	r	NOUN
iajs-2480	65	58	∑	∑	PROPN
iajs-2480	65	59	∑	∑	PROPN
iajs-2480	65	60	(	(	PUNCT
iajs-2480	65	61	10	10	NUM
iajs-2480	65	62	)	)	SYM
iajs-2480	65	63	2	2	NUM
iajs-2480	65	64	-	-	SYM
iajs-2480	65	65	2	2	NUM
iajs-2480	65	66	-	-	SYM
iajs-2480	65	67	2	2	NUM
iajs-2480	65	68	constant	constant	ADJ
iajs-2480	65	69	shrinkage	shrinkage	NOUN
iajs-2480	65	70	weight	weight	NOUN
iajs-2480	65	71	factor	factor	NOUN
iajs-2480	65	72	(	(	PUNCT
iajs-2480	65	73	sh2	sh2	PROPN
iajs-2480	65	74	):	):	PUNCT
iajs-2480	65	75	we	we	PRON
iajs-2480	65	76	suggest	suggest	VERB
iajs-2480	65	77	in	in	ADP
iajs-2480	65	78	this	this	DET
iajs-2480	65	79	subsection	subsection	NOUN
iajs-2480	65	80	constant	constant	ADJ
iajs-2480	65	81	shrinkage	shrinkage	NOUN
iajs-2480	65	82	weight	weight	NOUN
iajs-2480	65	83	factor	factor	NOUN
iajs-2480	65	84	𝜑	𝜑	NOUN
iajs-2480	65	85	𝛼	𝛼	PROPN
iajs-2480	65	86	0.3	0.3	NUM
iajs-2480	65	87	;	;	PUNCT
iajs-2480	65	88	i=1,2,	i=1,2,	NOUN
iajs-2480	65	89	…	…	X
iajs-2480	65	90	,k+1	,k+1	PUNCT
iajs-2480	65	91	.	.	PUNCT
iajs-2480	66	1	therefore	therefore	ADV
iajs-2480	66	2	,	,	PUNCT
iajs-2480	66	3	the	the	DET
iajs-2480	66	4	shrinkage	shrinkage	NOUN
iajs-2480	66	5	estimator	estimator	NOUN
iajs-2480	66	6	using	use	VERB
iajs-2480	66	7	specific	specific	ADJ
iajs-2480	66	8	constant	constant	ADJ
iajs-2480	66	9	weight	weight	NOUN
iajs-2480	66	10	factor	factor	NOUN
iajs-2480	66	11	will	will	AUX
iajs-2480	66	12	be	be	AUX
iajs-2480	66	13	as	as	SCONJ
iajs-2480	66	14	follows	follow	VERB
iajs-2480	66	15	:	:	PUNCT
iajs-2480	66	16	𝛼	𝛼	X
iajs-2480	66	17	𝜑	𝜑	X
iajs-2480	66	18	𝛼	𝛼	X
iajs-2480	66	19	𝛼	𝛼	NOUN
iajs-2480	66	20	1	1	NUM
iajs-2480	66	21	𝜑	𝜑	PART
iajs-2480	66	22	𝛼	𝛼	PRON
iajs-2480	66	23	𝛼	𝛼	NOUN
iajs-2480	66	24	for	for	ADP
iajs-2480	66	25	i=1,2,	i=1,2,	NOUN
iajs-2480	66	26	…	…	PUNCT
iajs-2480	66	27	,k+1	,k+1	PUNCT
iajs-2480	66	28	(	(	PUNCT
iajs-2480	66	29	11	11	NUM
iajs-2480	66	30	)	)	PUNCT
iajs-2480	66	31	to	to	PART
iajs-2480	66	32	find	find	VERB
iajs-2480	66	33	the	the	DET
iajs-2480	66	34	reliability	reliability	NOUN
iajs-2480	66	35	estimation	estimation	NOUN
iajs-2480	66	36	for	for	ADP
iajs-2480	66	37	k	k	PROPN
iajs-2480	66	38	component	component	NOUN
iajs-2480	66	39	parallel	parallel	NOUN
iajs-2480	66	40	system	system	NOUN
iajs-2480	66	41	of	of	ADP
iajs-2480	66	42	(	(	PUNCT
iajs-2480	66	43	s	s	NOUN
iajs-2480	66	44	-	-	PUNCT
iajs-2480	66	45	s	s	NOUN
iajs-2480	66	46	)	)	PUNCT
iajs-2480	66	47	model	model	NOUN
iajs-2480	66	48	using	use	VERB
iajs-2480	66	49	the	the	DET
iajs-2480	66	50	constant	constant	ADJ
iajs-2480	66	51	shrinkage	shrinkage	NOUN
iajs-2480	66	52	weight	weight	NOUN
iajs-2480	66	53	factor	factor	NOUN
iajs-2480	66	54	we	we	PRON
iajs-2480	66	55	must	must	AUX
iajs-2480	66	56	substitute	substitute	VERB
iajs-2480	66	57	equation	equation	NOUN
iajs-2480	66	58	(	(	PUNCT
iajs-2480	66	59	11	11	NUM
iajs-2480	66	60	)	)	PUNCT
iajs-2480	66	61	in	in	ADP
iajs-2480	66	62	equation	equation	NOUN
iajs-2480	66	63	(	(	PUNCT
iajs-2480	66	64	3	3	NUM
iajs-2480	66	65	)	)	PUNCT
iajs-2480	66	66	then	then	ADV
iajs-2480	66	67	we	we	PRON
iajs-2480	66	68	get	get	VERB
iajs-2480	66	69	the	the	DET
iajs-2480	66	70	following	following	NOUN
iajs-2480	66	71	:	:	PUNCT
iajs-2480	67	1	r	r	NOUN
iajs-2480	67	2	∑	∑	PROPN
iajs-2480	67	3	∑	∑	PROPN
iajs-2480	67	4	(	(	PUNCT
iajs-2480	67	5	12	12	NUM
iajs-2480	67	6	)	)	PUNCT
iajs-2480	67	7	2	2	NUM
iajs-2480	67	8	-	-	SYM
iajs-2480	67	9	2	2	NUM
iajs-2480	67	10	-	-	SYM
iajs-2480	67	11	3	3	NUM
iajs-2480	67	12	modified	modify	VERB
iajs-2480	67	13	thompson	thompson	NOUN
iajs-2480	67	14	type	type	NOUN
iajs-2480	67	15	shrinkage	shrinkage	NOUN
iajs-2480	67	16	weight	weight	NOUN
iajs-2480	67	17	function	function	NOUN
iajs-2480	67	18	(	(	PUNCT
iajs-2480	67	19	th	th	ADV
iajs-2480	67	20	):	):	PUNCT
iajs-2480	67	21	in	in	ADP
iajs-2480	67	22	this	this	DET
iajs-2480	67	23	subsection	subsection	NOUN
iajs-2480	67	24	,	,	PUNCT
iajs-2480	67	25	we	we	PRON
iajs-2480	67	26	introduce	introduce	VERB
iajs-2480	67	27	modifying	modify	VERB
iajs-2480	67	28	the	the	DET
iajs-2480	67	29	shrinkage	shrinkage	NOUN
iajs-2480	67	30	weight	weight	NOUN
iajs-2480	67	31	factor	factor	NOUN
iajs-2480	67	32	considered	consider	VERB
iajs-2480	67	33	by	by	ADP
iajs-2480	67	34	thompson	thompson	PROPN
iajs-2480	67	35	in	in	ADP
iajs-2480	67	36	1968	1968	NUM
iajs-2480	67	37	as	as	ADP
iajs-2480	67	38	below	below	ADV
iajs-2480	67	39	.	.	PUNCT
iajs-2480	68	1	𝛾	𝛾	ADP
iajs-2480	68	2	𝛼	𝛼	PRON
iajs-2480	68	3	0.01	0.01	NUM
iajs-2480	68	4	;	;	PUNCT
iajs-2480	68	5	for	for	ADP
iajs-2480	68	6	i	i	PROPN
iajs-2480	68	7	=	=	NOUN
iajs-2480	68	8	1,2,	1,2,	NUM
iajs-2480	68	9	…	…	SYM
iajs-2480	68	10	,k+1	,k+1	PUNCT
iajs-2480	68	11	.	.	PUNCT
iajs-2480	69	1	therefore	therefore	ADV
iajs-2480	69	2	,	,	PUNCT
iajs-2480	69	3	the	the	DET
iajs-2480	69	4	shrinkage	shrinkage	NOUN
iajs-2480	69	5	estimator	estimator	NOUN
iajs-2480	69	6	of	of	ADP
iajs-2480	69	7	using	use	VERB
iajs-2480	69	8	above	above	ADV
iajs-2480	69	9	modified	modify	VERB
iajs-2480	69	10	shrinkage	shrinkage	NOUN
iajs-2480	69	11	weight	weight	NOUN
iajs-2480	69	12	factor	factor	NOUN
iajs-2480	69	13	will	will	AUX
iajs-2480	69	14	be	be	AUX
iajs-2480	69	15	:	:	PUNCT
iajs-2480	69	16	  	  	SPACE
iajs-2480	69	17	162	162	NUM
iajs-2480	69	18	ibn	ibn	PROPN
iajs-2480	69	19	al	al	PROPN
iajs-2480	69	20	-	-	PUNCT
iajs-2480	69	21	haitham	haitham	PROPN
iajs-2480	69	22	jour	jour	X
iajs-2480	69	23	.	.	PROPN
iajs-2480	70	1	for	for	ADP
iajs-2480	70	2	pure	pure	ADJ
iajs-2480	70	3	&	&	CCONJ
iajs-2480	70	4	appl	appl	PROPN
iajs-2480	70	5	.	.	PUNCT
iajs-2480	71	1	sci	sci	PROPN
iajs-2480	71	2	.	.	PROPN
iajs-2480	72	1	33	33	NUM
iajs-2480	72	2	(	(	PUNCT
iajs-2480	72	3	3	3	NUM
iajs-2480	72	4	)	)	PUNCT
iajs-2480	72	5	2020	2020	NUM
iajs-2480	73	1	𝛼	𝛼	PRON
iajs-2480	73	2	𝛾	𝛾	NOUN
iajs-2480	73	3	𝛼	𝛼	X
iajs-2480	73	4	𝛼	𝛼	NOUN
iajs-2480	73	5	1	1	NUM
iajs-2480	73	6	𝛾	𝛾	PROPN
iajs-2480	73	7	𝛼	𝛼	NOUN
iajs-2480	73	8	𝛼	𝛼	NOUN
iajs-2480	73	9	;	;	PUNCT
iajs-2480	73	10	for	for	ADP
iajs-2480	73	11	i	i	PROPN
iajs-2480	73	12	=	=	NOUN
iajs-2480	73	13	1,2,	1,2,	NUM
iajs-2480	73	14	…	…	PUNCT
iajs-2480	73	15	,k+1	,k+1	PUNCT
iajs-2480	73	16	(	(	PUNCT
iajs-2480	73	17	13	13	NUM
iajs-2480	73	18	)	)	PUNCT
iajs-2480	74	1	to	to	PART
iajs-2480	74	2	find	find	VERB
iajs-2480	74	3	the	the	DET
iajs-2480	74	4	reliability	reliability	NOUN
iajs-2480	74	5	estimation	estimation	NOUN
iajs-2480	74	6	for	for	ADP
iajs-2480	74	7	k	k	PROPN
iajs-2480	74	8	component	component	NOUN
iajs-2480	74	9	parallel	parallel	NOUN
iajs-2480	74	10	system	system	NOUN
iajs-2480	74	11	of	of	ADP
iajs-2480	74	12	(	(	PUNCT
iajs-2480	74	13	s	s	NOUN
iajs-2480	74	14	-	-	PUNCT
iajs-2480	74	15	s	s	NOUN
iajs-2480	74	16	)	)	PUNCT
iajs-2480	74	17	model	model	NOUN
iajs-2480	74	18	using	use	VERB
iajs-2480	74	19	modified	modify	VERB
iajs-2480	74	20	thompson	thompson	NOUN
iajs-2480	74	21	type	type	NOUN
iajs-2480	74	22	shrinkage	shrinkage	NOUN
iajs-2480	74	23	we	we	PRON
iajs-2480	74	24	must	must	AUX
iajs-2480	74	25	substitute	substitute	VERB
iajs-2480	74	26	equation	equation	NOUN
iajs-2480	74	27	(	(	PUNCT
iajs-2480	74	28	13	13	NUM
iajs-2480	74	29	)	)	PUNCT
iajs-2480	74	30	in	in	ADP
iajs-2480	74	31	equation	equation	NOUN
iajs-2480	74	32	(	(	PUNCT
iajs-2480	74	33	3	3	NUM
iajs-2480	74	34	)	)	PUNCT
iajs-2480	74	35	then	then	ADV
iajs-2480	74	36	we	we	PRON
iajs-2480	74	37	get	get	VERB
iajs-2480	74	38	the	the	DET
iajs-2480	74	39	following	following	NOUN
iajs-2480	74	40	:	:	PUNCT
iajs-2480	75	1	r	r	NOUN
iajs-2480	75	2	∑	∑	PROPN
iajs-2480	75	3	∑	∑	PROPN
iajs-2480	75	4	(	(	PUNCT
iajs-2480	75	5	14	14	NUM
iajs-2480	75	6	)	)	PUNCT
iajs-2480	75	7	3	3	NUM
iajs-2480	75	8	.	.	X
iajs-2480	75	9	simulation	simulation	NOUN
iajs-2480	75	10	study	study	VERB
iajs-2480	75	11	the	the	DET
iajs-2480	75	12	performance	performance	NOUN
iajs-2480	75	13	and	and	CCONJ
iajs-2480	75	14	comparisons	comparison	NOUN
iajs-2480	75	15	of	of	ADP
iajs-2480	75	16	the	the	DET
iajs-2480	75	17	considered	consider	VERB
iajs-2480	75	18	estimators	estimator	NOUN
iajs-2480	75	19	of	of	ADP
iajs-2480	75	20	reliability	reliability	NOUN
iajs-2480	75	21	are	be	AUX
iajs-2480	75	22	studied	study	VERB
iajs-2480	75	23	for	for	ADP
iajs-2480	75	24	numerical	numerical	ADJ
iajs-2480	75	25	results	result	NOUN
iajs-2480	75	26	and	and	CCONJ
iajs-2480	75	27	obtained	obtain	VERB
iajs-2480	75	28	using	use	VERB
iajs-2480	75	29	sample	sample	NOUN
iajs-2480	75	30	of	of	ADP
iajs-2480	75	31	different	different	ADJ
iajs-2480	75	32	size	size	NOUN
iajs-2480	75	33	=(	=(	NOUN
iajs-2480	75	34	10	10	NUM
iajs-2480	75	35	,	,	PUNCT
iajs-2480	75	36	30	30	NUM
iajs-2480	75	37	,	,	PUNCT
iajs-2480	75	38	50	50	NUM
iajs-2480	75	39	and	and	CCONJ
iajs-2480	75	40	100	100	NUM
iajs-2480	75	41	)	)	PUNCT
iajs-2480	75	42	,	,	PUNCT
iajs-2480	75	43	based	base	VERB
iajs-2480	75	44	on	on	ADP
iajs-2480	75	45	1000	1000	NUM
iajs-2480	75	46	repetition	repetition	NOUN
iajs-2480	75	47	via	via	ADP
iajs-2480	75	48	mse	mse	NOUN
iajs-2480	75	49	criteria	criterion	NOUN
iajs-2480	75	50	.	.	PUNCT
iajs-2480	76	1	monte	monte	PROPN
iajs-2480	76	2	carlo	carlo	PROPN
iajs-2480	76	3	simulation	simulation	PROPN
iajs-2480	76	4	was	be	AUX
iajs-2480	76	5	used	use	VERB
iajs-2480	76	6	for	for	ADP
iajs-2480	76	7	this	this	DET
iajs-2480	76	8	purpose	purpose	NOUN
iajs-2480	76	9	as	as	SCONJ
iajs-2480	76	10	it	it	PRON
iajs-2480	76	11	steps	step	VERB
iajs-2480	76	12	below	below	ADV
iajs-2480	76	13	:	:	PUNCT
iajs-2480	77	1	step1	step1	PROPN
iajs-2480	77	2	:	:	PUNCT
iajs-2480	77	3	the	the	DET
iajs-2480	77	4	random	random	ADJ
iajs-2480	77	5	sample	sample	NOUN
iajs-2480	77	6	was	be	AUX
iajs-2480	77	7	generated	generate	VERB
iajs-2480	77	8	following	follow	VERB
iajs-2480	77	9	the	the	DET
iajs-2480	77	10	uniform	uniform	ADJ
iajs-2480	77	11	continuous	continuous	ADJ
iajs-2480	77	12	distribution	distribution	NOUN
iajs-2480	77	13	which	which	PRON
iajs-2480	77	14	is	be	AUX
iajs-2480	77	15	defined	define	VERB
iajs-2480	77	16	on	on	ADP
iajs-2480	77	17	the	the	DET
iajs-2480	77	18	interval	interval	NOUN
iajs-2480	77	19	(	(	PUNCT
iajs-2480	77	20	0,1	0,1	NOUN
iajs-2480	77	21	)	)	PUNCT
iajs-2480	77	22	as	as	ADP
iajs-2480	77	23	ui1,ui2,	ui1,ui2,	PROPN
iajs-2480	77	24	…	…	PROPN
iajs-2480	77	25	,uini	,uini	PUNCT
iajs-2480	77	26	;	;	PUNCT
iajs-2480	77	27	i=1,2,	i=1,2,	NOUN
iajs-2480	77	28	…	…	SYM
iajs-2480	77	29	,k	,k	X
iajs-2480	77	30	.	.	PUNCT
iajs-2480	78	1	step2	step2	PROPN
iajs-2480	78	2	:	:	PUNCT
iajs-2480	78	3	we	we	PRON
iajs-2480	78	4	will	will	AUX
iajs-2480	78	5	generate	generate	VERB
iajs-2480	78	6	the	the	DET
iajs-2480	78	7	random	random	ADJ
iajs-2480	78	8	sample	sample	NOUN
iajs-2480	78	9	follows	follow	VERB
iajs-2480	78	10	the	the	DET
iajs-2480	78	11	continuous	continuous	ADJ
iajs-2480	78	12	uniform	uniform	ADJ
iajs-2480	78	13	distribution	distribution	NOUN
iajs-2480	78	14	defined	define	VERB
iajs-2480	78	15	on	on	ADP
iajs-2480	78	16	the	the	DET
iajs-2480	78	17	interval	interval	NOUN
iajs-2480	78	18	(	(	PUNCT
iajs-2480	78	19	0	0	NUM
iajs-2480	78	20	,	,	PUNCT
iajs-2480	78	21	1	1	NUM
iajs-2480	78	22	)	)	PUNCT
iajs-2480	78	23	as	as	ADP
iajs-2480	78	24	w1	w1	NOUN
iajs-2480	78	25	,	,	PUNCT
iajs-2480	78	26	w2	w2	NOUN
iajs-2480	78	27	,	,	PUNCT
iajs-2480	78	28	…	…	PUNCT
iajs-2480	78	29	,	,	PUNCT
iajs-2480	78	30	wm	wm	PROPN
iajs-2480	78	31	.	.	PROPN
iajs-2480	78	32	step3	step3	PROPN
iajs-2480	78	33	:	:	PUNCT
iajs-2480	78	34	the	the	DET
iajs-2480	78	35	above	above	ADJ
iajs-2480	78	36	uniform	uniform	ADJ
iajs-2480	78	37	random	random	ADJ
iajs-2480	78	38	samples	sample	NOUN
iajs-2480	78	39	transformed	transform	VERB
iajs-2480	78	40	to	to	AUX
iajs-2480	78	41	ged	ge	VERB
iajs-2480	78	42	using	use	VERB
iajs-2480	78	43	the	the	DET
iajs-2480	78	44	cumulative	cumulative	ADJ
iajs-2480	78	45	distribution	distribution	NOUN
iajs-2480	78	46	function	function	NOUN
iajs-2480	78	47	(	(	PUNCT
iajs-2480	78	48	c.	c.	PROPN
iajs-2480	78	49	d.	d.	PROPN
iajs-2480	78	50	f.	f.	PROPN
iajs-2480	78	51	)	)	PUNCT
iajs-2480	79	1	as	as	SCONJ
iajs-2480	79	2	follow	follow	VERB
iajs-2480	79	3	:	:	PUNCT
iajs-2480	80	1	f	f	NOUN
iajs-2480	80	2	x	x	SYM
iajs-2480	80	3	1	1	NUM
iajs-2480	80	4	𝑒	𝑒	PROPN
iajs-2480	80	5	uij	uij	PROPN
iajs-2480	80	6	1	1	NUM
iajs-2480	80	7	𝑒	𝑒	NOUN
iajs-2480	80	8	x	x	PROPN
iajs-2480	80	9	ln	ln	ADJ
iajs-2480	80	10	1	1	NUM
iajs-2480	80	11	𝑈	𝑈	PROPN
iajs-2480	80	12	;	;	PUNCT
iajs-2480	80	13	i=1,2	i=1,2	ADJ
iajs-2480	80	14	…	…	SYM
iajs-2480	80	15	,k	,k	PUNCT
iajs-2480	80	16	,	,	PUNCT
iajs-2480	80	17	j=1,2,	j=1,2,	NOUN
iajs-2480	80	18	...	...	PUNCT
iajs-2480	80	19	,n	,n	PUNCT
iajs-2480	80	20	and	and	CCONJ
iajs-2480	80	21	,	,	PUNCT
iajs-2480	80	22	by	by	ADP
iajs-2480	80	23	the	the	DET
iajs-2480	80	24	same	same	ADJ
iajs-2480	80	25	method	method	NOUN
iajs-2480	80	26	,	,	PUNCT
iajs-2480	80	27	we	we	PRON
iajs-2480	80	28	get	get	VERB
iajs-2480	80	29	y	y	PROPN
iajs-2480	80	30	ln	ln	ADJ
iajs-2480	80	31	1	1	NUM
iajs-2480	80	32	𝑊	𝑊	PROPN
iajs-2480	80	33	,	,	PUNCT
iajs-2480	80	34	t=1,2,	t=1,2,	NOUN
iajs-2480	80	35	...	...	PUNCT
iajs-2480	80	36	,m	,m	PUNCT
iajs-2480	80	37	in	in	ADP
iajs-2480	80	38	method	method	NOUN
iajs-2480	80	39	of	of	ADP
iajs-2480	80	40	maximum	maximum	ADJ
iajs-2480	80	41	likelihood	likelihood	NOUN
iajs-2480	80	42	using	use	VERB
iajs-2480	80	43	equation	equation	NOUN
iajs-2480	80	44	(	(	PUNCT
iajs-2480	80	45	6	6	NUM
iajs-2480	80	46	)	)	PUNCT
iajs-2480	80	47	.	.	PUNCT
iajs-2480	81	1	kstep4	kstep4	NOUN
iajs-2480	81	2	:	:	PUNCT
iajs-2480	81	3	we	we	PRON
iajs-2480	81	4	compute	compute	VERB
iajs-2480	81	5	the	the	DET
iajs-2480	81	6	estimator	estimator	NOUN
iajs-2480	81	7	of	of	ADP
iajs-2480	81	8	r	r	PROPN
iajs-2480	81	9	step5	step5	PROPN
iajs-2480	81	10	:	:	PUNCT
iajs-2480	81	11	we	we	PRON
iajs-2480	81	12	compute	compute	VERB
iajs-2480	81	13	the	the	DET
iajs-2480	81	14	estimators	estimator	NOUN
iajs-2480	81	15	of	of	ADP
iajs-2480	81	16	rk	rk	NOUN
iajs-2480	81	17	in	in	ADP
iajs-2480	81	18	three	three	NUM
iajs-2480	81	19	shrinkage	shrinkage	NOUN
iajs-2480	81	20	methods	method	NOUN
iajs-2480	81	21	using	use	VERB
iajs-2480	81	22	equations	equation	NOUN
iajs-2480	81	23	(	(	PUNCT
iajs-2480	81	24	10	10	NUM
iajs-2480	81	25	)	)	PUNCT
iajs-2480	81	26	,	,	PUNCT
iajs-2480	81	27	(	(	PUNCT
iajs-2480	81	28	12	12	NUM
iajs-2480	81	29	)	)	PUNCT
iajs-2480	81	30	and	and	CCONJ
iajs-2480	81	31	(	(	PUNCT
iajs-2480	81	32	14	14	NUM
iajs-2480	81	33	)	)	PUNCT
iajs-2480	81	34	.	.	PUNCT
iajs-2480	82	1	step6	step6	NOUN
iajs-2480	82	2	:	:	PUNCT
iajs-2480	82	3	on	on	ADP
iajs-2480	82	4	(	(	PUNCT
iajs-2480	82	5	l=1000	l=1000	PROPN
iajs-2480	82	6	)	)	PUNCT
iajs-2480	82	7	repetition	repetition	NOUN
iajs-2480	82	8	,	,	PUNCT
iajs-2480	82	9	we	we	PRON
iajs-2480	82	10	calculate	calculate	VERB
iajs-2480	82	11	the	the	DET
iajs-2480	82	12	mean	mean	ADJ
iajs-2480	82	13	square	square	NOUN
iajs-2480	82	14	error	error	NOUN
iajs-2480	82	15	(	(	PUNCT
iajs-2480	82	16	mse	mse	NOUN
iajs-2480	82	17	)	)	PUNCT
iajs-2480	82	18	as	as	SCONJ
iajs-2480	82	19	it	it	PRON
iajs-2480	82	20	comes	come	VERB
iajs-2480	82	21	:	:	PUNCT
iajs-2480	82	22	mse	mse	PROPN
iajs-2480	82	23	∑	∑	PROPN
iajs-2480	82	24	𝑅	𝑅	PROPN
iajs-2480	82	25	𝑅	𝑅	PROPN
iajs-2480	82	26	of	of	ADP
iajs-2480	82	27	the	the	DET
iajs-2480	82	28	proposed	propose	VERB
iajs-2480	82	29	estimators	estimator	NOUN
iajs-2480	82	30	.	.	PUNCT
iajs-2480	83	1	kindicates	kindicate	VERB
iajs-2480	83	2	the	the	DET
iajs-2480	83	3	real	real	ADJ
iajs-2480	83	4	value	value	NOUN
iajs-2480	83	5	of	of	ADP
iajs-2480	83	6	reliability	reliability	NOUN
iajs-2480	83	7	r	r	NOUN
iajs-2480	83	8	𝑅whereas	𝑅whereas	PROPN
iajs-2480	83	9	.=	.=	PROPN
iajs-2480	83	10	0.64705882	0.64705882	NUM
iajs-2480	83	11	,	,	PUNCT
iajs-2480	83	12	α1=1.5	α1=1.5	PROPN
iajs-2480	83	13	,	,	PUNCT
iajs-2480	83	14	α2=1.9	α2=1.9	PROPN
iajs-2480	83	15	,	,	PUNCT
iajs-2480	83	16	α	α	NOUN
iajs-2480	83	17	3=2.1	3=2.1	NUM
iajs-2480	83	18	,	,	PUNCT
iajs-2480	83	19	α	α	PROPN
iajs-2480	83	20	4=3	4=3	NUM
iajs-2480	83	21	kthe	kthe	DET
iajs-2480	83	22	estimation	estimation	NOUN
iajs-2480	83	23	value	value	NOUN
iajs-2480	83	24	when	when	SCONJ
iajs-2480	83	25	r	r	NOUN
iajs-2480	83	26	table	table	NOUN
iajs-2480	83	27	1	1	NUM
iajs-2480	83	28	.	.	PUNCT
iajs-2480	84	1	n1	n1	NOUN
iajs-2480	84	2	,	,	PUNCT
iajs-2480	84	3	n2	n2	NOUN
iajs-2480	84	4	,	,	PUNCT
iajs-2480	84	5	n3	n3	NOUN
iajs-2480	84	6	,	,	PUNCT
iajs-2480	84	7	m	m	PROPN
iajs-2480	84	8	𝑅	𝑅	PROPN
iajs-2480	84	9	𝑅	𝑅	PROPN
iajs-2480	84	10	𝑅	𝑅	PROPN
iajs-2480	84	11	𝑅	𝑅	PROPN
iajs-2480	84	12	10	10	NUM
iajs-2480	84	13	,	,	PUNCT
iajs-2480	84	14	10	10	NUM
iajs-2480	84	15	,	,	PUNCT
iajs-2480	84	16	10	10	NUM
iajs-2480	84	17	,	,	PUNCT
iajs-2480	84	18	10	10	NUM
iajs-2480	84	19	0.64974127	0.64974127	NUM
iajs-2480	84	20	0.64705883	0.64705883	NUM
iajs-2480	84	21	0.64710777	0.64710777	NUM
iajs-2480	84	22	0.64718198	0.64718198	NUM
iajs-2480	84	23	10	10	NUM
iajs-2480	84	24	,	,	PUNCT
iajs-2480	84	25	100	100	NUM
iajs-2480	84	26	,	,	PUNCT
iajs-2480	84	27	50	50	NUM
iajs-2480	84	28	,	,	PUNCT
iajs-2480	84	29	30	30	NUM
iajs-2480	84	30	0.65146655	0.65146655	NUM
iajs-2480	85	1	0.64705883	0.64705883	NUM
iajs-2480	85	2	0.64732080	0.64732080	NUM
iajs-2480	85	3	0.64728223	0.64728223	NUM
iajs-2480	85	4	30	30	NUM
iajs-2480	85	5	,	,	PUNCT
iajs-2480	85	6	10	10	NUM
iajs-2480	85	7	,	,	PUNCT
iajs-2480	85	8	50	50	NUM
iajs-2480	85	9	,	,	PUNCT
iajs-2480	85	10	100	100	NUM
iajs-2480	85	11	0.65669301	0.65669301	NUM
iajs-2480	85	12	0.64705886	0.64705886	NUM
iajs-2480	85	13	0.64721804	0.64721804	NUM
iajs-2480	85	14	0.64741435	0.64741435	NUM
iajs-2480	85	15	30	30	NUM
iajs-2480	85	16	,	,	PUNCT
iajs-2480	85	17	50	50	NUM
iajs-2480	85	18	,	,	PUNCT
iajs-2480	85	19	100	100	NUM
iajs-2480	85	20	,	,	PUNCT
iajs-2480	85	21	10	10	NUM
iajs-2480	85	22	0.63666133	0.63666133	NUM
iajs-2480	85	23	0.64705881	0.64705881	NUM
iajs-2480	85	24	0.64715662	0.64715662	NUM
iajs-2480	85	25	0.64652903	0.64652903	NUM
iajs-2480	85	26	50	50	NUM
iajs-2480	85	27	,	,	PUNCT
iajs-2480	85	28	100	100	NUM
iajs-2480	85	29	,	,	PUNCT
iajs-2480	85	30	30	30	NUM
iajs-2480	85	31	,	,	PUNCT
iajs-2480	85	32	30	30	NUM
iajs-2480	85	33	0.64701349	0.64701349	NUM
iajs-2480	85	34	0.64705882	0.64705882	NUM
iajs-2480	85	35	0.64719754	0.64719754	NUM
iajs-2480	85	36	0.64711634	0.64711634	NUM
iajs-2480	85	37	50	50	NUM
iajs-2480	85	38	,	,	PUNCT
iajs-2480	85	39	10	10	NUM
iajs-2480	85	40	,	,	PUNCT
iajs-2480	85	41	30	30	NUM
iajs-2480	85	42	,	,	PUNCT
iajs-2480	85	43	50	50	NUM
iajs-2480	85	44	0.65380516	0.65380516	NUM
iajs-2480	85	45	0.64705889	0.64705889	NUM
iajs-2480	85	46	0.64706895	0.64706895	NUM
iajs-2480	85	47	0.64721992	0.64721992	NUM
iajs-2480	85	48	100	100	NUM
iajs-2480	85	49	,	,	PUNCT
iajs-2480	85	50	10	10	NUM
iajs-2480	85	51	,	,	PUNCT
iajs-2480	85	52	50	50	NUM
iajs-2480	85	53	,	,	PUNCT
iajs-2480	85	54	30	30	NUM
iajs-2480	85	55	0.64988329	0.64988329	NUM
iajs-2480	85	56	0.64705885	0.64705885	NUM
iajs-2480	85	57	0.64703872	0.64703872	NUM
iajs-2480	85	58	0.64713598	0.64713598	NUM
iajs-2480	85	59	100	100	NUM
iajs-2480	85	60	,	,	PUNCT
iajs-2480	85	61	50	50	NUM
iajs-2480	85	62	,	,	PUNCT
iajs-2480	85	63	30	30	NUM
iajs-2480	85	64	,	,	PUNCT
iajs-2480	85	65	10	10	NUM
iajs-2480	85	66	0.63613730	0.63613730	NUM
iajs-2480	85	67	0.64705888	0.64705888	NUM
iajs-2480	85	68	0.64723084	0.64723084	NUM
iajs-2480	85	69	0.64677433	0.64677433	NUM
iajs-2480	85	70	  	  	SPACE
iajs-2480	85	71	163	163	NUM
iajs-2480	85	72	ibn	ibn	PROPN
iajs-2480	85	73	al	al	PROPN
iajs-2480	85	74	-	-	PUNCT
iajs-2480	85	75	haitham	haitham	PROPN
iajs-2480	85	76	jour	jour	X
iajs-2480	85	77	.	.	PROPN
iajs-2480	86	1	for	for	ADP
iajs-2480	86	2	pure	pure	ADJ
iajs-2480	86	3	&	&	CCONJ
iajs-2480	86	4	appl	appl	PROPN
iajs-2480	86	5	.	.	PUNCT
iajs-2480	87	1	sci	sci	PROPN
iajs-2480	87	2	.	.	PROPN
iajs-2480	88	1	33	33	NUM
iajs-2480	88	2	(	(	PUNCT
iajs-2480	88	3	3	3	NUM
iajs-2480	88	4	)	)	PUNCT
iajs-2480	88	5	2020	2020	NUM
iajs-2480	88	6	.=	.=	NOUN
iajs-2480	88	7	0.64705882	0.64705882	NUM
iajs-2480	88	8	,	,	PUNCT
iajs-2480	88	9	α1=1.5	α1=1.5	PROPN
iajs-2480	88	10	,	,	PUNCT
iajs-2480	88	11	α2=1.9	α2=1.9	PROPN
iajs-2480	88	12	,	,	PUNCT
iajs-2480	88	13	α	α	NOUN
iajs-2480	88	14	3=2.1	3=2.1	NUM
iajs-2480	88	15	,	,	PUNCT
iajs-2480	88	16	α	α	PROPN
iajs-2480	88	17	4=3	4=3	NUM
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iajs-2480	89	84	𝑅	𝑅	PROPN
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iajs-2480	89	96	𝑅	𝑅	PROPN
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iajs-2480	104	17	10	10	NUM
iajs-2480	104	18	,	,	PUNCT
iajs-2480	104	19	10	10	NUM
iajs-2480	104	20	0.0036930321488	0.0036930321488	NUM
iajs-2480	104	21	0.0000000000088	0.0000000000088	NUM
iajs-2480	104	22	0.0000416870241	0.0000416870241	NUM
iajs-2480	104	23	0.0000218510918	0.0000218510918	NUM
iajs-2480	105	1	𝑅	𝑅	PROPN
iajs-2480	105	2	10	10	NUM
iajs-2480	105	3	,	,	PUNCT
iajs-2480	105	4	100	100	NUM
iajs-2480	105	5	,	,	PUNCT
iajs-2480	105	6	50	50	NUM
iajs-2480	105	7	,	,	PUNCT
iajs-2480	105	8	30	30	NUM
iajs-2480	105	9	0.0011807809520	0.0011807809520	NUM
iajs-2480	105	10	0.0000000000003	0.0000000000003	NUM
iajs-2480	105	11	0.0000119623355	0.0000119623355	NUM
iajs-2480	105	12	0.0000055447844	0.0000055447844	NUM
iajs-2480	105	13	𝑅	𝑅	PROPN
iajs-2480	105	14	30	30	NUM
iajs-2480	105	15	,	,	PUNCT
iajs-2480	105	16	10	10	NUM
iajs-2480	105	17	,	,	PUNCT
iajs-2480	105	18	50	50	NUM
iajs-2480	105	19	,	,	PUNCT
iajs-2480	105	20	100	100	NUM
iajs-2480	105	21	0.0007760955807	0.0007760955807	NUM
iajs-2480	105	22	0.0000000000009	0.0000000000009	NUM
iajs-2480	105	23	0.0000082061304	0.0000082061304	NUM
iajs-2480	105	24	0.0000039207273	0.0000039207273	NUM
iajs-2480	105	25	𝑅	𝑅	PROPN
iajs-2480	105	26	30	30	NUM
iajs-2480	105	27	,	,	PUNCT
iajs-2480	105	28	50	50	NUM
iajs-2480	105	29	,	,	PUNCT
iajs-2480	105	30	100	100	NUM
iajs-2480	105	31	,	,	PUNCT
iajs-2480	105	32	10	10	NUM
iajs-2480	105	33	0.0035662706436	0.0035662706436	NUM
iajs-2480	105	34	0.0000000000068	0.0000000000068	NUM
iajs-2480	105	35	0.0000348598683	0.0000348598683	NUM
iajs-2480	105	36	0.0000183278607	0.0000183278607	NUM
iajs-2480	105	37	𝑅	𝑅	PROPN
iajs-2480	105	38	50	50	NUM
iajs-2480	105	39	,	,	PUNCT
iajs-2480	105	40	100	100	NUM
iajs-2480	105	41	,	,	PUNCT
iajs-2480	105	42	30	30	NUM
iajs-2480	105	43	,	,	PUNCT
iajs-2480	105	44	30	30	NUM
iajs-2480	105	45	0.0011429353051	0.0011429353051	NUM
iajs-2480	105	46	0.0000000000000	0.0000000000000	NUM
iajs-2480	105	47	0.0000115756637	0.0000115756637	NUM
iajs-2480	105	48	0.0000058533095	0.0000058533095	NUM
iajs-2480	105	49	𝑅	𝑅	PROPN
iajs-2480	105	50	50	50	NUM
iajs-2480	105	51	,	,	PUNCT
iajs-2480	105	52	10	10	NUM
iajs-2480	105	53	,	,	PUNCT
iajs-2480	105	54	30	30	NUM
iajs-2480	105	55	,	,	PUNCT
iajs-2480	105	56	50	50	NUM
iajs-2480	105	57	0.0010247431814	0.0010247431814	NUM
iajs-2480	105	58	0.0000000000009	0.0000000000009	NUM
iajs-2480	105	59	0.0000110864286	0.0000110864286	NUM
iajs-2480	105	60	0.0000055558376	0.0000055558376	NUM
iajs-2480	105	61	𝑅	𝑅	PROPN
iajs-2480	105	62	100	100	NUM
iajs-2480	105	63	,	,	PUNCT
iajs-2480	105	64	10	10	NUM
iajs-2480	105	65	,	,	PUNCT
iajs-2480	105	66	50	50	NUM
iajs-2480	105	67	,	,	PUNCT
iajs-2480	105	68	30	30	NUM
iajs-2480	105	69	0.0014165597010	0.0014165597010	NUM
iajs-2480	105	70	0.0000000000009	0.0000000000009	NUM
iajs-2480	105	71	0.0000148389019	0.0000148389019	NUM
iajs-2480	105	72	0.0000071877688	0.0000071877688	NUM
iajs-2480	105	73	𝑅	𝑅	PROPN
iajs-2480	105	74	100	100	NUM
iajs-2480	105	75	,	,	PUNCT
iajs-2480	105	76	50	50	NUM
iajs-2480	105	77	,	,	PUNCT
iajs-2480	105	78	30	30	NUM
iajs-2480	105	79	,	,	PUNCT
iajs-2480	105	80	10	10	NUM
iajs-2480	105	81	0.0031290741177	0.0031290741177	NUM
iajs-2480	105	82	0.0000000000059	0.0000000000059	NUM
iajs-2480	105	83	0.0000309491744	0.0000309491744	NUM
iajs-2480	105	84	0.0000151569884	0.0000151569884	NUM
iajs-2480	105	85	𝑅	𝑅	PROPN
iajs-2480	105	86	.α1=2	.α1=2	PROPN
iajs-2480	105	87	,	,	PUNCT
iajs-2480	105	88	α2=3	α2=3	PROPN
iajs-2480	105	89	,	,	PUNCT
iajs-2480	105	90	α	α	PROPN
iajs-2480	105	91	3=3	3=3	NUM
iajs-2480	105	92	,	,	PUNCT
iajs-2480	105	93	α	α	PROPN
iajs-2480	105	94	4=2	4=2	NUM
iajs-2480	105	95	0.6296296,=	0.6296296,=	NUM
iajs-2480	105	96	kthe	kthe	PRON
iajs-2480	105	97	estimation	estimation	NOUN
iajs-2480	105	98	value	value	NOUN
iajs-2480	105	99	when	when	SCONJ
iajs-2480	105	100	r	r	NOUN
iajs-2480	105	101	table	table	NOUN
iajs-2480	105	102	9	9	NUM
iajs-2480	105	103	.	.	PUNCT
iajs-2480	105	104	n1	n1	NOUN
iajs-2480	105	105	,	,	PUNCT
iajs-2480	105	106	n2	n2	NOUN
iajs-2480	105	107	,	,	PUNCT
iajs-2480	105	108	n3	n3	NOUN
iajs-2480	105	109	,	,	PUNCT
iajs-2480	105	110	m	m	PROPN
iajs-2480	105	111	𝑅	𝑅	PROPN
iajs-2480	105	112	𝑅	𝑅	PROPN
iajs-2480	105	113	𝑅	𝑅	PROPN
iajs-2480	105	114	𝑅	𝑅	PROPN
iajs-2480	105	115	10	10	NUM
iajs-2480	105	116	,	,	PUNCT
iajs-2480	105	117	10	10	NUM
iajs-2480	105	118	,	,	PUNCT
iajs-2480	105	119	10	10	NUM
iajs-2480	105	120	,	,	PUNCT
iajs-2480	105	121	10	10	NUM
iajs-2480	105	122	0.63076360	0.63076360	NUM
iajs-2480	105	123	0.62962956	0.62962956	NUM
iajs-2480	105	124	0.62951463	0.62951463	NUM
iajs-2480	105	125	0.62964048	0.62964048	NUM
iajs-2480	105	126	10	10	NUM
iajs-2480	105	127	,	,	PUNCT
iajs-2480	105	128	100	100	NUM
iajs-2480	105	129	,	,	PUNCT
iajs-2480	105	130	50	50	NUM
iajs-2480	105	131	,	,	PUNCT
iajs-2480	105	132	30	30	NUM
iajs-2480	105	133	0.63172841	0.63172841	NUM
iajs-2480	105	134	0.62962958	0.62962958	NUM
iajs-2480	105	135	0.62951579	0.62951579	NUM
iajs-2480	105	136	0.62962435	0.62962435	NUM
iajs-2480	105	137	30	30	NUM
iajs-2480	105	138	,	,	PUNCT
iajs-2480	105	139	10	10	NUM
iajs-2480	105	140	,	,	PUNCT
iajs-2480	105	141	50	50	NUM
iajs-2480	105	142	,	,	PUNCT
iajs-2480	105	143	100	100	NUM
iajs-2480	105	144	0.63790618	0.63790618	NUM
iajs-2480	105	145	0.62962956	0.62962956	NUM
iajs-2480	105	146	0.62958384	0.62958384	NUM
iajs-2480	105	147	0.62986333	0.62986333	NUM
iajs-2480	105	148	30	30	NUM
iajs-2480	105	149	,	,	PUNCT
iajs-2480	105	150	50	50	NUM
iajs-2480	105	151	,	,	PUNCT
iajs-2480	105	152	100	100	NUM
iajs-2480	105	153	,	,	PUNCT
iajs-2480	105	154	10	10	NUM
iajs-2480	105	155	0.620838632	0.620838632	NUM
iajs-2480	105	156	0.62962972	0.62962972	NUM
iajs-2480	105	157	0.62995512	0.62995512	NUM
iajs-2480	105	158	0.62935807	0.62935807	NUM
iajs-2480	105	159	50	50	NUM
iajs-2480	105	160	,	,	PUNCT
iajs-2480	105	161	100	100	NUM
iajs-2480	105	162	,	,	PUNCT
iajs-2480	105	163	30	30	NUM
iajs-2480	105	164	,	,	PUNCT
iajs-2480	105	165	30	30	NUM
iajs-2480	105	166	0.62658135	0.62658135	NUM
iajs-2480	105	167	0.62962962	0.62962962	NUM
iajs-2480	105	168	0.62943595	0.62943595	NUM
iajs-2480	105	169	0.62939530	0.62939530	NUM
iajs-2480	105	170	50	50	NUM
iajs-2480	105	171	,	,	PUNCT
iajs-2480	105	172	10	10	NUM
iajs-2480	105	173	,	,	PUNCT
iajs-2480	105	174	30	30	NUM
iajs-2480	105	175	,	,	PUNCT
iajs-2480	105	176	50	50	NUM
iajs-2480	105	177	0.63765206	0.63765206	NUM
iajs-2480	105	178	0.62962964	0.62962964	NUM
iajs-2480	105	179	0.62974108	0.62974108	NUM
iajs-2480	105	180	0.62990918	0.62990918	NUM
iajs-2480	105	181	100	100	NUM
iajs-2480	105	182	,	,	PUNCT
iajs-2480	105	183	10	10	NUM
iajs-2480	105	184	,	,	PUNCT
iajs-2480	105	185	50	50	NUM
iajs-2480	105	186	,	,	PUNCT
iajs-2480	105	187	30	30	NUM
iajs-2480	105	188	0.63290386	0.63290386	NUM
iajs-2480	105	189	0.62962961	0.62962961	NUM
iajs-2480	105	190	0.62962576	0.62962576	NUM
iajs-2480	105	191	0.62977961	0.62977961	NUM
iajs-2480	105	192	100	100	NUM
iajs-2480	105	193	,	,	PUNCT
iajs-2480	105	194	50	50	NUM
iajs-2480	105	195	,	,	PUNCT
iajs-2480	105	196	30	30	NUM
iajs-2480	105	197	,	,	PUNCT
iajs-2480	105	198	10	10	NUM
iajs-2480	105	199	0.62207442	0.62207442	NUM
iajs-2480	105	200	0.62962977	0.62962977	NUM
iajs-2480	105	201	0.63004524	0.63004524	NUM
iajs-2480	105	202	0.62929717	0.62929717	NUM
iajs-2480	105	203	  	  	SPACE
iajs-2480	105	204	165	165	NUM
iajs-2480	105	205	ibn	ibn	PROPN
iajs-2480	105	206	al	al	PROPN
iajs-2480	105	207	-	-	PUNCT
iajs-2480	105	208	haitham	haitham	PROPN
iajs-2480	105	209	jour	jour	X
iajs-2480	105	210	.	.	PROPN
iajs-2480	106	1	for	for	ADP
iajs-2480	106	2	pure	pure	ADJ
iajs-2480	106	3	&	&	CCONJ
iajs-2480	106	4	appl	appl	PROPN
iajs-2480	106	5	.	.	PUNCT
iajs-2480	107	1	sci	sci	PROPN
iajs-2480	107	2	.	.	PROPN
iajs-2480	108	1	33	33	NUM
iajs-2480	108	2	(	(	PUNCT
iajs-2480	108	3	3	3	NUM
iajs-2480	108	4	)	)	PUNCT
iajs-2480	108	5	2020	2020	NUM
iajs-2480	108	6	.=	.=	VERB
iajs-2480	108	7	0.6296296	0.6296296	NUM
iajs-2480	108	8	,	,	PUNCT
iajs-2480	108	9	α1=2	α1=2	PROPN
iajs-2480	108	10	,	,	PUNCT
iajs-2480	108	11	α2=3	α2=3	PROPN
iajs-2480	108	12	,	,	PUNCT
iajs-2480	108	13	α	α	PROPN
iajs-2480	108	14	3=3	3=3	NUM
iajs-2480	108	15	,	,	PUNCT
iajs-2480	108	16	α	α	PROPN
iajs-2480	108	17	4=2	4=2	NUM
iajs-2480	108	18	kr	kr	PROPN
iajs-2480	108	19	value	value	NOUN
iajs-2480	108	20	when	when	SCONJ
iajs-2480	108	21	.	.	PUNCT
iajs-2480	109	1	the	the	DET
iajs-2480	109	2	mse	mse	PROPN
iajs-2480	109	3	table	table	NOUN
iajs-2480	109	4	10	10	NUM
iajs-2480	109	5	n1	n1	NOUN
iajs-2480	109	6	,	,	PUNCT
iajs-2480	109	7	n2	n2	NOUN
iajs-2480	109	8	,	,	PUNCT
iajs-2480	109	9	n3	n3	NOUN
iajs-2480	109	10	,	,	PUNCT
iajs-2480	109	11	m	m	PROPN
iajs-2480	109	12	𝑅	𝑅	PROPN
iajs-2480	109	13	𝑅	𝑅	PROPN
iajs-2480	109	14	𝑅	𝑅	PROPN
iajs-2480	109	15	𝑅	𝑅	PROPN
iajs-2480	109	16	best	good	ADJ
iajs-2480	109	17	10	10	NUM
iajs-2480	109	18	,	,	PUNCT
iajs-2480	109	19	10	10	NUM
iajs-2480	109	20	,	,	PUNCT
iajs-2480	109	21	10	10	NUM
iajs-2480	109	22	,	,	PUNCT
iajs-2480	109	23	10	10	NUM
iajs-2480	109	24	0.0069000376819	0.0069000376819	NUM
iajs-2480	109	25	0.0000000000169	0.0000000000169	NUM
iajs-2480	109	26	0.0000799910406	0.0000799910406	NUM
iajs-2480	109	27	0.0000388496851	0.0000388496851	NUM
iajs-2480	109	28	𝑅	𝑅	PROPN
iajs-2480	109	29	10	10	NUM
iajs-2480	109	30	,	,	PUNCT
iajs-2480	109	31	100	100	NUM
iajs-2480	109	32	,	,	PUNCT
iajs-2480	109	33	50	50	NUM
iajs-2480	109	34	,	,	PUNCT
iajs-2480	109	35	30	30	NUM
iajs-2480	109	36	0.0026648513273	0.0026648513273	NUM
iajs-2480	109	37	0.0000000000014	0.0000000000014	NUM
iajs-2480	110	1	0.0000282562972	0.0000282562972	NUM
iajs-2480	110	2	0.0000140228606	0.0000140228606	NUM
iajs-2480	110	3	𝑅	𝑅	PROPN
iajs-2480	110	4	30	30	NUM
iajs-2480	110	5	,	,	PUNCT
iajs-2480	110	6	10	10	NUM
iajs-2480	110	7	,	,	PUNCT
iajs-2480	110	8	50	50	NUM
iajs-2480	110	9	,	,	PUNCT
iajs-2480	110	10	100	100	NUM
iajs-2480	110	11	0.0019060448282	0.0019060448282	NUM
iajs-2480	110	12	0.0000000000020	0.0000000000020	NUM
iajs-2480	110	13	0.0000199887466	0.0000199887466	NUM
iajs-2480	110	14	0.0000100559705	0.0000100559705	NUM
iajs-2480	110	15	𝑅	𝑅	PROPN
iajs-2480	110	16	30	30	NUM
iajs-2480	110	17	,	,	PUNCT
iajs-2480	110	18	50	50	NUM
iajs-2480	110	19	,	,	PUNCT
iajs-2480	110	20	100	100	NUM
iajs-2480	110	21	,	,	PUNCT
iajs-2480	110	22	10	10	NUM
iajs-2480	110	23	0.0057617706197	0.0057617706197	NUM
iajs-2480	110	24	0.0000000000126	0.0000000000126	NUM
iajs-2480	110	25	0.0000630168023	0.0000630168023	NUM
iajs-2480	110	26	0.0000304912831	0.0000304912831	NUM
iajs-2480	110	27	𝑅	𝑅	PROPN
iajs-2480	110	28	50	50	NUM
iajs-2480	110	29	,	,	PUNCT
iajs-2480	110	30	100	100	NUM
iajs-2480	110	31	,	,	PUNCT
iajs-2480	110	32	30	30	NUM
iajs-2480	110	33	,	,	PUNCT
iajs-2480	110	34	30	30	NUM
iajs-2480	110	35	0.0025093087038	0.0025093087038	NUM
iajs-2480	110	36	0.0000000000000	0.0000000000000	NUM
iajs-2480	110	37	0.0000262623068	0.0000262623068	NUM
iajs-2480	110	38	0.0000129639110	0.0000129639110	NUM
iajs-2480	110	39	𝑅	𝑅	PROPN
iajs-2480	110	40	50	50	NUM
iajs-2480	110	41	,	,	PUNCT
iajs-2480	110	42	10	10	NUM
iajs-2480	110	43	,	,	PUNCT
iajs-2480	110	44	30	30	NUM
iajs-2480	110	45	,	,	PUNCT
iajs-2480	110	46	50	50	NUM
iajs-2480	110	47	0.0022561911791	0.0022561911791	NUM
iajs-2480	110	48	0.0000000000023	0.0000000000023	NUM
iajs-2480	110	49	0.0000244149758	0.0000244149758	NUM
iajs-2480	110	50	0.0000123993849	0.0000123993849	NUM
iajs-2480	110	51	𝑅	𝑅	PROPN
iajs-2480	110	52	100	100	NUM
iajs-2480	110	53	,	,	PUNCT
iajs-2480	110	54	10	10	NUM
iajs-2480	110	55	,	,	PUNCT
iajs-2480	110	56	50	50	NUM
iajs-2480	110	57	,	,	PUNCT
iajs-2480	110	58	30	30	NUM
iajs-2480	110	59	0.0031588200355	0.0031588200355	NUM
iajs-2480	110	60	0.0000000000023	0.0000000000023	NUM
iajs-2480	110	61	0.0000338946302	0.0000338946302	NUM
iajs-2480	110	62	0.0000168170931	0.0000168170931	NUM
iajs-2480	110	63	𝑅	𝑅	PROPN
iajs-2480	110	64	100	100	NUM
iajs-2480	110	65	,	,	PUNCT
iajs-2480	110	66	50	50	NUM
iajs-2480	110	67	,	,	PUNCT
iajs-2480	110	68	30	30	NUM
iajs-2480	110	69	,	,	PUNCT
iajs-2480	110	70	10	10	NUM
iajs-2480	110	71	0.0059428138792	0.0059428138792	NUM
iajs-2480	110	72	0.0000000000136	0.0000000000136	NUM
iajs-2480	110	73	0.0000667599379	0.0000667599379	NUM
iajs-2480	110	74	0.0000335650838	0.0000335650838	NUM
iajs-2480	110	75	𝑅	𝑅	PROPN
iajs-2480	110	76	numerical	numerical	ADJ
iajs-2480	110	77	results	result	NOUN
iajs-2480	110	78	:	:	PUNCT
iajs-2480	110	79	in	in	ADP
iajs-2480	110	80	this	this	DET
iajs-2480	110	81	work	work	NOUN
iajs-2480	110	82	,	,	PUNCT
iajs-2480	110	83	when	when	SCONJ
iajs-2480	110	84	we	we	PRON
iajs-2480	110	85	notice	notice	VERB
iajs-2480	110	86	for	for	ADP
iajs-2480	110	87	any	any	DET
iajs-2480	110	88	ni	ni	PROPN
iajs-2480	110	89	=(	=(	NOUN
iajs-2480	110	90	10,30,50	10,30,50	NUM
iajs-2480	110	91	and	and	CCONJ
iajs-2480	110	92	100	100	NUM
iajs-2480	110	93	)	)	PUNCT
iajs-2480	110	94	and	and	CCONJ
iajs-2480	110	95	all	all	DET
iajs-2480	110	96	m=(10,30,50	m=(10,30,50	NOUN
iajs-2480	110	97	and	and	CCONJ
iajs-2480	110	98	100	100	NUM
iajs-2480	110	99	)	)	PUNCT
iajs-2480	110	100	the	the	DET
iajs-2480	110	101	minimum	minimum	ADJ
iajs-2480	110	102	mean	mean	NOUN
iajs-2480	110	103	square	square	NOUN
iajs-2480	110	104	error	error	NOUN
iajs-2480	110	105	(	(	PUNCT
iajs-2480	110	106	mse	mse	NOUN
iajs-2480	110	107	)	)	PUNCT
iajs-2480	110	108	for	for	ADP
iajs-2480	110	109	the	the	DET
iajs-2480	110	110	reliability	reliability	NOUN
iajs-2480	110	111	estimator	estimator	NOUN
iajs-2480	110	112	of	of	ADP
iajs-2480	110	113	k	k	PROPN
iajs-2480	110	114	components	components	PROPN
iajs-2480	110	115	parallel	parallel	ADJ
iajs-2480	110	116	system	system	NOUN
iajs-2480	110	117	of	of	ADP
iajs-2480	110	118	(	(	PUNCT
iajs-2480	110	119	s	s	NOUN
iajs-2480	110	120	-	-	PUNCT
iajs-2480	110	121	s	s	NOUN
iajs-2480	110	122	)	)	PUNCT
iajs-2480	110	123	model	model	NOUN
iajs-2480	110	124	with	with	ADP
iajs-2480	110	125	the	the	DET
iajs-2480	110	126	generalized	generalize	VERB
iajs-2480	110	127	exponential	exponential	ADJ
iajs-2480	110	128	distribution	distribution	NOUN
iajs-2480	110	129	held	hold	VERB
iajs-2480	110	130	using	use	VERB
iajs-2480	110	131	the	the	DET
iajs-2480	110	132	shrinkage	shrinkage	NOUN
iajs-2480	110	133	estimator	estimator	NOUN
iajs-2480	110	134	as	as	ADP
iajs-2480	110	135	function	function	NOUN
iajs-2480	110	136	of	of	ADP
iajs-2480	110	137	ni	ni	PROPN
iajs-2480	110	138	and	and	CCONJ
iajs-2480	110	139	m	m	PROPN
iajs-2480	110	140	based	base	VERB
iajs-2480	110	141	on	on	ADP
iajs-2480	110	142	weight	weight	NOUN
iajs-2480	110	143	factor	factor	NOUN
iajs-2480	110	144	of	of	ADP
iajs-2480	110	145	shrinkage	shrinkage	NOUN
iajs-2480	110	146	.	.	PUNCT
iajs-2480	111	1	this	this	PRON
iajs-2480	111	2	implies	imply	VERB
iajs-2480	111	3	that	that	PRON
iajs-2480	111	4	shrinkage	shrinkage	VERB
iajs-2480	111	5	weight	weight	NOUN
iajs-2480	111	6	factor	factor	NOUN
iajs-2480	111	7	as	as	ADP
iajs-2480	111	8	function	function	NOUN
iajs-2480	111	9	of	of	ADP
iajs-2480	111	10	ni	ni	PROPN
iajs-2480	111	11	and	and	CCONJ
iajs-2480	111	12	m	m	PROPN
iajs-2480	111	13	is	be	AUX
iajs-2480	111	14	the	the	DET
iajs-2480	111	15	best	good	ADJ
iajs-2480	111	16	and	and	CCONJ
iajs-2480	111	17	it	it	PRON
iajs-2480	111	18	is	be	AUX
iajs-2480	111	19	follow	follow	VERB
iajs-2480	111	20	by	by	ADP
iajs-2480	111	21	using	use	VERB
iajs-2480	111	22	modified	modify	VERB
iajs-2480	111	23	thompson	thompson	NOUN
iajs-2480	111	24	type	type	NOUN
iajs-2480	111	25	shrinkage	shrinkage	NOUN
iajs-2480	111	26	estimator	estimator	NOUN
iajs-2480	111	27	r	r	NOUN
iajs-2480	111	28	.	.	PUNCT
iajs-2480	112	1	for	for	ADP
iajs-2480	112	2	all	all	DET
iajs-2480	112	3	ni	ni	NOUN
iajs-2480	112	4	and	and	CCONJ
iajs-2480	112	5	all	all	DET
iajs-2480	112	6	m	m	PROPN
iajs-2480	112	7	,	,	PUNCT
iajs-2480	112	8	the	the	DET
iajs-2480	112	9	third	third	ADJ
iajs-2480	112	10	order	order	NOUN
iajs-2480	112	11	best	good	ADJ
iajs-2480	112	12	estimator	estimator	NOUN
iajs-2480	112	13	is	be	AUX
iajs-2480	112	14	the	the	DET
iajs-2480	112	15	shrinkage	shrinkage	NOUN
iajs-2480	112	16	estimator	estimator	NOUN
iajs-2480	112	17	based	base	VERB
iajs-2480	112	18	on	on	ADP
iajs-2480	112	19	constant	constant	ADJ
iajs-2480	112	20	shrinkage	shrinkage	NOUN
iajs-2480	112	21	weight	weight	NOUN
iajs-2480	112	22	function	function	NOUN
iajs-2480	112	23	r	r	NOUN
iajs-2480	112	24	after	after	ADP
iajs-2480	112	25	r	r	NOUN
iajs-2480	112	26	and	and	CCONJ
iajs-2480	112	27	(	(	PUNCT
iajs-2480	112	28	r	r	NOUN
iajs-2480	112	29	.	.	PUNCT
iajs-2480	113	1	4	4	X
iajs-2480	113	2	.	.	X
iajs-2480	113	3	conclusion	conclusion	NOUN
iajs-2480	113	4	of	of	ADP
iajs-2480	113	5	the	the	DET
iajs-2480	113	6	previous	previous	ADJ
iajs-2480	113	7	item	item	NOUN
iajs-2480	113	8	,	,	PUNCT
iajs-2480	113	9	the	the	DET
iajs-2480	113	10	proposal	proposal	NOUN
iajs-2480	113	11	can	can	AUX
iajs-2480	113	12	be	be	AUX
iajs-2480	113	13	found	find	VERB
iajs-2480	113	14	that	that	SCONJ
iajs-2480	113	15	the	the	DET
iajs-2480	113	16	shrinkage	shrinkage	NOUN
iajs-2480	113	17	estimation	estimation	NOUN
iajs-2480	113	18	method	method	NOUN
iajs-2480	113	19	using	use	VERB
iajs-2480	113	20	shrinkage	shrinkage	NOUN
iajs-2480	113	21	weight	weight	NOUN
iajs-2480	113	22	factor	factor	NOUN
iajs-2480	113	23	as	as	ADP
iajs-2480	113	24	function	function	NOUN
iajs-2480	113	25	of	of	ADP
iajs-2480	113	26	ni	ni	PROPN
iajs-2480	113	27	and	and	CCONJ
iajs-2480	113	28	m	m	PROPN
iajs-2480	113	29	(	(	PUNCT
iajs-2480	113	30	𝑅	𝑅	PROPN
iajs-2480	113	31	)	)	PUNCT
iajs-2480	113	32	which	which	PRON
iajs-2480	113	33	depends	depend	VERB
iajs-2480	113	34	on	on	ADP
iajs-2480	113	35	prior	prior	ADJ
iajs-2480	113	36	estimate	estimate	NOUN
iajs-2480	113	37	and	and	CCONJ
iajs-2480	113	38	unbiased	unbiased	ADJ
iajs-2480	113	39	estimator	estimator	NOUN
iajs-2480	113	40	as	as	ADP
iajs-2480	113	41	a	a	DET
iajs-2480	113	42	linear	linear	ADJ
iajs-2480	113	43	combination	combination	NOUN
iajs-2480	113	44	is	be	AUX
iajs-2480	113	45	the	the	DET
iajs-2480	113	46	best	good	ADJ
iajs-2480	113	47	estimator	estimator	NOUN
iajs-2480	113	48	and	and	CCONJ
iajs-2480	113	49	performs	perform	VERB
iajs-2480	113	50	good	good	ADJ
iajs-2480	113	51	behavior	behavior	NOUN
iajs-2480	113	52	than	than	ADP
iajs-2480	113	53	the	the	DET
iajs-2480	113	54	others	other	NOUN
iajs-2480	113	55	in	in	ADP
iajs-2480	113	56	the	the	DET
iajs-2480	113	57	sense	sense	NOUN
iajs-2480	113	58	of	of	ADP
iajs-2480	113	59	mse	mse	NOUN
iajs-2480	113	60	when	when	SCONJ
iajs-2480	113	61	estimate	estimate	VERB
iajs-2480	113	62	reliability	reliability	NOUN
iajs-2480	113	63	for	for	ADP
iajs-2480	113	64	system	system	NOUN
iajs-2480	113	65	contains	contain	VERB
iajs-2480	113	66	kth	kth	PROPN
iajs-2480	113	67	non	non	ADJ
iajs-2480	113	68	-	-	ADJ
iajs-2480	113	69	identical	identical	ADJ
iajs-2480	113	70	strength	strength	NOUN
iajs-2480	113	71	parallel	parallel	NOUN
iajs-2480	113	72	components	component	NOUN
iajs-2480	113	73	which	which	PRON
iajs-2480	113	74	are	be	AUX
iajs-2480	113	75	subjected	subject	VERB
iajs-2480	113	76	to	to	ADP
iajs-2480	113	77	a	a	DET
iajs-2480	113	78	common	common	ADJ
iajs-2480	113	79	stress	stress	NOUN
iajs-2480	113	80	in	in	ADP
iajs-2480	113	81	stress	stress	NOUN
iajs-2480	113	82	-	-	PUNCT
iajs-2480	113	83	strength	strength	NOUN
iajs-2480	113	84	model	model	NOUN
iajs-2480	113	85	and	and	CCONJ
iajs-2480	113	86	when	when	SCONJ
iajs-2480	113	87	the	the	DET
iajs-2480	113	88	stress	stress	NOUN
iajs-2480	113	89	and	and	CCONJ
iajs-2480	113	90	strength	strength	NOUN
iajs-2480	113	91	follow	follow	VERB
iajs-2480	113	92	the	the	DET
iajs-2480	113	93	generalized	generalize	VERB
iajs-2480	113	94	exponential	exponential	ADJ
iajs-2480	113	95	distribution	distribution	NOUN
iajs-2480	113	96	(	(	PUNCT
iajs-2480	113	97	ged	ge	VERB
iajs-2480	113	98	)	)	PUNCT
iajs-2480	113	99	.	.	PUNCT
iajs-2480	114	1	references	reference	NOUN
iajs-2480	114	2	1	1	NUM
iajs-2480	114	3	.	.	PUNCT
iajs-2480	114	4	azarkhail	azarkhail	NOUN
iajs-2480	114	5	.	.	PUNCT
iajs-2480	115	1	m.	m.	NOUN
iajs-2480	115	2	;	;	PUNCT
iajs-2480	115	3	modarres	modarre	NOUN
iajs-2480	115	4	.	.	PUNCT
iajs-2480	116	1	m.	m.	VERB
iajs-2480	116	2	the	the	DET
iajs-2480	116	3	evolution	evolution	NOUN
iajs-2480	116	4	and	and	CCONJ
iajs-2480	116	5	history	history	NOUN
iajs-2480	116	6	of	of	ADP
iajs-2480	116	7	reliability	reliability	NOUN
iajs-2480	116	8	engineering	engineering	NOUN
iajs-2480	116	9	:	:	PUNCT
iajs-2480	116	10	rise	rise	NOUN
iajs-2480	116	11	of	of	ADP
iajs-2480	116	12	mechanistic	mechanistic	ADJ
iajs-2480	116	13	reliability	reliability	NOUN
iajs-2480	116	14	modeling	modeling	NOUN
iajs-2480	116	15	.	.	PUNCT
iajs-2480	117	1	international	international	ADJ
iajs-2480	117	2	journal	journal	NOUN
iajs-2480	117	3	of	of	ADP
iajs-2480	117	4	performability	performability	NOUN
iajs-2480	117	5	engineering.2012	engineering.2012	PROPN
iajs-2480	117	6	,	,	PUNCT
iajs-2480	117	7	8	8	NUM
iajs-2480	117	8	,	,	PUNCT
iajs-2480	117	9	1	1	NUM
iajs-2480	117	10	,	,	PUNCT
iajs-2480	117	11	35	35	NUM
iajs-2480	117	12	-	-	SYM
iajs-2480	117	13	47	47	NUM
iajs-2480	117	14	.	.	PUNCT
iajs-2480	118	1	2	2	X
iajs-2480	118	2	.	.	X
iajs-2480	118	3	hassan	hassan	PROPN
iajs-2480	118	4	.	.	PUNCT
iajs-2480	119	1	a.s	a.s	PROPN
iajs-2480	119	2	.	.	PROPN
iajs-2480	119	3	;	;	PUNCT
iajs-2480	119	4	basheikh	basheikh	PROPN
iajs-2480	119	5	,	,	PUNCT
iajs-2480	119	6	h.m	h.m	PROPN
iajs-2480	119	7	.	.	PROPN
iajs-2480	119	8	reliability	reliability	NOUN
iajs-2480	119	9	estimation	estimation	NOUN
iajs-2480	119	10	of	of	ADP
iajs-2480	119	11	stress	stress	NOUN
iajs-2480	119	12	strength	strength	NOUN
iajs-2480	119	13	model	model	NOUN
iajs-2480	119	14	with	with	ADP
iajs-2480	119	15	non	non	ADJ
iajs-2480	119	16	-	-	ADJ
iajs-2480	119	17	identical	identical	ADJ
iajs-2480	119	18	component	component	NOUN
iajs-2480	119	19	strengths	strength	NOUN
iajs-2480	119	20	:	:	PUNCT
iajs-2480	119	21	the	the	DET
iajs-2480	119	22	exponentiated	exponentiated	ADJ
iajs-2480	119	23	pareto	pareto	NOUN
iajs-2480	119	24	case	case	NOUN
iajs-2480	119	25	.	.	PUNCT
iajs-2480	120	1	international	international	ADJ
iajs-2480	120	2	journal	journal	NOUN
iajs-2480	120	3	of	of	ADP
iajs-2480	120	4	engineering	engineering	NOUN
iajs-2480	120	5	research	research	NOUN
iajs-2480	120	6	and	and	CCONJ
iajs-2480	120	7	applications.2012	applications.2012	PROPN
iajs-2480	120	8	,	,	PUNCT
iajs-2480	120	9	2	2	NUM
iajs-2480	120	10	,	,	PUNCT
iajs-2480	120	11	3	3	NUM
iajs-2480	120	12	,	,	PUNCT
iajs-2480	120	13	2774	2774	NUM
iajs-2480	120	14	-	-	SYM
iajs-2480	120	15	2781	2781	NUM
iajs-2480	120	16	.	.	PUNCT
iajs-2480	121	1	3	3	X
iajs-2480	121	2	.	.	X
iajs-2480	121	3	hussian	hussian	PROPN
iajs-2480	121	4	,	,	PUNCT
iajs-2480	121	5	m.a	m.a	PROPN
iajs-2480	121	6	.	.	PROPN
iajs-2480	121	7	estimation	estimation	NOUN
iajs-2480	121	8	of	of	ADP
iajs-2480	121	9	stress	stress	NOUN
iajs-2480	121	10	-strength	-strength	NOUN
iajs-2480	121	11	model	model	NOUN
iajs-2480	121	12	for	for	ADP
iajs-2480	121	13	generalized	generalized	ADJ
iajs-2480	121	14	inverted	invert	VERB
iajs-2480	121	15	exponential	exponential	ADJ
iajs-2480	121	16	distribution	distribution	NOUN
iajs-2480	121	17	using	use	VERB
iajs-2480	121	18	ranked	rank	VERB
iajs-2480	121	19	set	set	ADJ
iajs-2480	121	20	sampling	sampling	NOUN
iajs-2480	121	21	.	.	PUNCT
iajs-2480	122	1	international	international	ADJ
iajs-2480	122	2	journal	journal	NOUN
iajs-2480	122	3	of	of	ADP
iajs-2480	122	4	advances	advance	NOUN
iajs-2480	122	5	in	in	ADP
iajs-2480	122	6	engineering	engineering	PROPN
iajs-2480	122	7	&	&	CCONJ
iajs-2480	122	8	technology.2014	technology.2014	PROPN
iajs-2480	122	9	,	,	PUNCT
iajs-2480	122	10	6	6	NUM
iajs-2480	122	11	,	,	PUNCT
iajs-2480	122	12	6	6	NUM
iajs-2480	122	13	,	,	PUNCT
iajs-2480	122	14	2354	2354	NUM
iajs-2480	122	15	-	-	SYM
iajs-2480	122	16	2362	2362	NUM
iajs-2480	122	17	.	.	PUNCT
iajs-2480	123	1	4	4	X
iajs-2480	123	2	.	.	X
iajs-2480	123	3	hangal	hangal	PROPN
iajs-2480	123	4	,	,	PUNCT
iajs-2480	123	5	d.d	d.d	PROPN
iajs-2480	123	6	.	.	PROPN
iajs-2480	124	1	on	on	ADP
iajs-2480	124	2	the	the	DET
iajs-2480	124	3	estimation	estimation	NOUN
iajs-2480	124	4	of	of	ADP
iajs-2480	124	5	system	system	NOUN
iajs-2480	124	6	reliability	reliability	NOUN
iajs-2480	124	7	in	in	ADP
iajs-2480	124	8	stress	stress	NOUN
iajs-2480	124	9	-	-	PUNCT
iajs-2480	124	10	strength	strength	NOUN
iajs-2480	124	11	models	model	NOUN
iajs-2480	124	12	.	.	PUNCT
iajs-2480	125	1	economic	economic	ADJ
iajs-2480	125	2	quality	quality	NOUN
iajs-2480	125	3	control	control	NOUN
iajs-2480	125	4	journal.1998	journal.1998	PROPN
iajs-2480	125	5	,	,	PUNCT
iajs-2480	125	6	12	12	NUM
iajs-2480	125	7	,	,	PUNCT
iajs-2480	125	8	17	17	NUM
iajs-2480	125	9	-	-	SYM
iajs-2480	125	10	22	22	NUM
iajs-2480	125	11	.	.	PUNCT
iajs-2480	126	1	5	5	NUM
iajs-2480	126	2	.	.	X
iajs-2480	126	3	ali	ali	PROPN
iajs-2480	126	4	,	,	PUNCT
iajs-2480	126	5	h.m	h.m	PROPN
iajs-2480	126	6	.	.	PROPN
iajs-2480	126	7	comparison	comparison	NOUN
iajs-2480	126	8	of	of	ADP
iajs-2480	126	9	some	some	DET
iajs-2480	126	10	methods	method	NOUN
iajs-2480	126	11	to	to	PART
iajs-2480	126	12	estimate	estimate	VERB
iajs-2480	126	13	some	some	PRON
iajs-2480	126	14	of	of	ADP
iajs-2480	126	15	the	the	DET
iajs-2480	126	16	stress	stress	NOUN
iajs-2480	126	17	–	–	PUNCT
iajs-2480	126	18	strength	strength	NOUN
iajs-2480	126	19	lomax	lomax	PROPN
iajs-2480	126	20	models	model	NOUN
iajs-2480	126	21	.	.	PUNCT
iajs-2480	127	1	m.sc	m.sc	PROPN
iajs-2480	127	2	.	.	PUNCT
iajs-2480	128	1	thesis	thesis	NOUN
iajs-2480	128	2	,	,	PUNCT
iajs-2480	128	3	al	al	PROPN
iajs-2480	128	4	-mustansiriya	-mustansiriya	PROPN
iajs-2480	128	5	university	university	NOUN
iajs-2480	128	6	,	,	PUNCT
iajs-2480	128	7	2013	2013	NUM
iajs-2480	128	8	.	.	PUNCT
iajs-2480	128	9	  	  	SPACE
iajs-2480	129	1	166	166	NUM
iajs-2480	129	2	ibn	ibn	PROPN
iajs-2480	129	3	al	al	PROPN
iajs-2480	129	4	-	-	PUNCT
iajs-2480	129	5	haitham	haitham	PROPN
iajs-2480	129	6	jour	jour	X
iajs-2480	129	7	.	.	PROPN
iajs-2480	129	8	for	for	ADP
iajs-2480	129	9	pure	pure	ADJ
iajs-2480	129	10	&	&	CCONJ
iajs-2480	129	11	appl	appl	PROPN
iajs-2480	129	12	.	.	PUNCT
iajs-2480	130	1	sci	sci	PROPN
iajs-2480	130	2	.	.	PROPN
iajs-2480	131	1	33	33	NUM
iajs-2480	131	2	(	(	PUNCT
iajs-2480	131	3	3	3	NUM
iajs-2480	131	4	)	)	PUNCT
iajs-2480	131	5	2020	2020	NUM
iajs-2480	131	6	6	6	NUM
iajs-2480	131	7	.	.	PUNCT
iajs-2480	132	1	sezer	sezer	PROPN
iajs-2480	132	2	,	,	PUNCT
iajs-2480	132	3	d.	d.	PROPN
iajs-2480	132	4	;	;	PUNCT
iajs-2480	132	5	kinaci	kinaci	PROPN
iajs-2480	132	6	,	,	PUNCT
iajs-2480	132	7	i.	i.	NOUN
iajs-2480	132	8	estimation	estimation	NOUN
iajs-2480	132	9	of	of	ADP
iajs-2480	132	10	a	a	DET
iajs-2480	132	11	stress	stress	NOUN
iajs-2480	132	12	-	-	PUNCT
iajs-2480	132	13	strength	strength	NOUN
iajs-2480	132	14	parameter	parameter	NOUN
iajs-2480	132	15	of	of	ADP
iajs-2480	132	16	a	a	DET
iajs-2480	132	17	parallel	parallel	ADJ
iajs-2480	132	18	system	system	NOUN
iajs-2480	132	19	for	for	ADP
iajs-2480	132	20	exponential	exponential	ADJ
iajs-2480	132	21	distribution	distribution	NOUN
iajs-2480	132	22	based	base	VERB
iajs-2480	132	23	on	on	ADP
iajs-2480	132	24	masked	masked	ADJ
iajs-2480	132	25	data	datum	NOUN
iajs-2480	132	26	.	.	PUNCT
iajs-2480	133	1	journal	journal	PROPN
iajs-2480	133	2	of	of	ADP
iajs-2480	133	3	selçuk	selçuk	PROPN
iajs-2480	133	4	university	university	NOUN
iajs-2480	133	5	natural	natural	ADJ
iajs-2480	133	6	and	and	CCONJ
iajs-2480	133	7	applied	apply	VERB
iajs-2480	133	8	science.2013	science.2013	PROPN
iajs-2480	133	9	,	,	PUNCT
iajs-2480	133	10	2	2	NUM
iajs-2480	133	11	,	,	PUNCT
iajs-2480	133	12	3	3	NUM
iajs-2480	133	13	,	,	PUNCT
iajs-2480	133	14	60	60	NUM
iajs-2480	133	15	-	-	SYM
iajs-2480	133	16	68	68	NUM
iajs-2480	133	17	.	.	PUNCT
iajs-2480	134	1	7	7	X
iajs-2480	134	2	.	.	X
iajs-2480	134	3	karam	karam	PROPN
iajs-2480	134	4	.	.	PUNCT
iajs-2480	135	1	n.s	n.s	PROPN
iajs-2480	135	2	.	.	PROPN
iajs-2480	135	3	;	;	PUNCT
iajs-2480	135	4	ali	ali	PROPN
iajs-2480	135	5	,	,	PUNCT
iajs-2480	135	6	h.m	h.m	PROPN
iajs-2480	135	7	.	.	PROPN
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iajs-2480	135	9	of	of	ADP
iajs-2480	135	10	two	two	NUM
iajs-2480	135	11	component	component	NOUN
iajs-2480	135	12	parallel	parallel	NOUN
iajs-2480	135	13	system	system	NOUN
iajs-2480	135	14	reliability	reliability	NOUN
iajs-2480	135	15	stress	stress	NOUN
iajs-2480	135	16	-	-	PUNCT
iajs-2480	135	17	strength	strength	NOUN
iajs-2480	135	18	using	use	VERB
iajs-2480	135	19	lomax	lomax	PROPN
iajs-2480	135	20	distribution	distribution	NOUN
iajs-2480	135	21	.	.	PUNCT
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iajs-2480	136	2	,	,	PUNCT
iajs-2480	136	3	26	26	NUM
iajs-2480	136	4	,	,	PUNCT
iajs-2480	136	5	88	88	NUM
iajs-2480	136	6	,	,	PUNCT
iajs-2480	136	7	7884	7884	NUM
iajs-2480	136	8	.	.	PUNCT
iajs-2480	137	1	8	8	NUM
iajs-2480	137	2	.	.	X
iajs-2480	137	3	karam	karam	PROPN
iajs-2480	137	4	,	,	PUNCT
iajs-2480	137	5	n.s	n.s	PROPN
iajs-2480	137	6	.	.	PROPN
iajs-2480	137	7	one	one	NUM
iajs-2480	137	8	,	,	PUNCT
iajs-2480	137	9	two	two	NUM
iajs-2480	137	10	and	and	CCONJ
iajs-2480	137	11	multi	multi	ADJ
iajs-2480	137	12	–	–	PUNCT
iajs-2480	137	13	component	component	ADJ
iajs-2480	137	14	gompertz	gompertz	NOUN
iajs-2480	137	15	stress	stress	NOUN
iajs-2480	137	16	–	–	PUNCT
iajs-2480	137	17	strength	strength	NOUN
iajs-2480	137	18	reliability	reliability	NOUN
iajs-2480	137	19	estimation	estimation	NOUN
iajs-2480	137	20	.	.	PUNCT
iajs-2480	138	1	mathematical	mathematical	ADJ
iajs-2480	138	2	theory	theory	NOUN
iajs-2480	138	3	and	and	CCONJ
iajs-2480	138	4	modeling.2016	modeling.2016	PROPN
iajs-2480	138	5	,	,	PUNCT
iajs-2480	138	6	6	6	NUM
iajs-2480	138	7	,	,	PUNCT
iajs-2480	138	8	3	3	NUM
iajs-2480	138	9	,	,	PUNCT
iajs-2480	138	10	77	77	NUM
iajs-2480	138	11	-	-	SYM
iajs-2480	138	12	92	92	NUM
iajs-2480	138	13	.	.	PUNCT
iajs-2480	139	1	9	9	NUM
iajs-2480	139	2	.	.	X
iajs-2480	139	3	kundu	kundu	NOUN
iajs-2480	139	4	,	,	PUNCT
iajs-2480	139	5	d.	d.	PROPN
iajs-2480	139	6	;	;	PUNCT
iajs-2480	139	7	gupta	gupta	PROPN
iajs-2480	139	8	,	,	PUNCT
iajs-2480	139	9	r.d	r.d	PROPN
iajs-2480	139	10	.	.	PROPN
iajs-2480	139	11	estimation	estimation	NOUN
iajs-2480	139	12	of	of	ADP
iajs-2480	139	13	p(y	p(y	PROPN
iajs-2480	139	14	<	<	X
iajs-2480	139	15	x	x	X
iajs-2480	139	16	)	)	PUNCT
iajs-2480	139	17	for	for	ADP
iajs-2480	139	18	the	the	DET
iajs-2480	139	19	generalized	generalize	VERB
iajs-2480	139	20	exponential	exponential	ADJ
iajs-2480	139	21	distribution	distribution	NOUN
iajs-2480	139	22	.	.	PUNCT
iajs-2480	140	1	metrika.2005	metrika.2005	PROPN
iajs-2480	140	2	,	,	PUNCT
iajs-2480	140	3	613	613	NUM
iajs-2480	140	4	,	,	PUNCT
iajs-2480	140	5	291	291	NUM
iajs-2480	140	6	-	-	SYM
iajs-2480	140	7	308	308	NUM
iajs-2480	140	8	.	.	PUNCT
iajs-2480	140	9	10	10	NUM
iajs-2480	140	10	.	.	PUNCT
iajs-2480	141	1	al	al	PROPN
iajs-2480	141	2	-	-	PUNCT
iajs-2480	141	3	joboori	joboori	PROPN
iajs-2480	141	4	,	,	PUNCT
iajs-2480	141	5	a.n	a.n	PROPN
iajs-2480	141	6	.	.	PROPN
iajs-2480	141	7	;	;	PUNCT
iajs-2480	142	1	hamad	hamad	PROPN
iajs-2480	142	2	,	,	PUNCT
iajs-2480	142	3	a.m.	a.m.	PROPN
iajs-2480	142	4	mohammad.m.a	mohammad.m.a	PROPN
iajs-2480	142	5	.	.	PUNCT
iajs-2480	143	1	on	on	ADP
iajs-2480	143	2	shrunken	shrunken	ADJ
iajs-2480	143	3	estimation	estimation	NOUN
iajs-2480	143	4	of	of	ADP
iajs-2480	143	5	generalized	generalized	ADJ
iajs-2480	143	6	exponential	exponential	ADJ
iajs-2480	143	7	distribution	distribution	NOUN
iajs-2480	143	8	.	.	PUNCT
iajs-2480	144	1	journal	journal	PROPN
iajs-2480	144	2	of	of	ADP
iajs-2480	144	3	economics	economic	NOUN
iajs-2480	144	4	and	and	CCONJ
iajs-2480	144	5	administrative	administrative	ADJ
iajs-2480	144	6	sciences.2011	sciences.2011	NOUN
iajs-2480	144	7	,	,	PUNCT
iajs-2480	144	8	17	17	NUM
iajs-2480	144	9	,	,	PUNCT
iajs-2480	144	10	1	1	NUM
iajs-2480	144	11	-	-	SYM
iajs-2480	144	12	8	8	NUM
iajs-2480	144	13	.	.	PUNCT
iajs-2480	144	14	11	11	NUM
iajs-2480	144	15	.	.	PUNCT
iajs-2480	145	1	al	al	PROPN
iajs-2480	145	2	-	-	PUNCT
iajs-2480	145	3	joboori	joboori	PROPN
iajs-2480	145	4	,	,	PUNCT
iajs-2480	145	5	a.n	a.n	PROPN
iajs-2480	145	6	.	.	PROPN
iajs-2480	145	7	;	;	PUNCT
iajs-2480	145	8	ali	ali	PROPN
iajs-2480	145	9	,	,	PUNCT
iajs-2480	145	10	a.h	a.h	PROPN
iajs-2480	145	11	.	.	PROPN
iajs-2480	145	12	;	;	PUNCT
iajs-2480	145	13	salman	salman	PROPN
iajs-2480	145	14	,	,	PUNCT
iajs-2480	145	15	m.d	m.d	PROPN
iajs-2480	145	16	.	.	PROPN
iajs-2480	145	17	;	;	PUNCT
iajs-2480	146	1	mohammad	mohammad	PROPN
iajs-2480	146	2	,	,	PUNCT
iajs-2480	146	3	m.a	m.a	PROPN
iajs-2480	146	4	.	.	PROPN
iajs-2480	146	5	single	single	ADJ
iajs-2480	146	6	and	and	CCONJ
iajs-2480	146	7	double	double	ADJ
iajs-2480	146	8	stage	stage	NOUN
iajs-2480	146	9	shrinkage	shrinkage	NOUN
iajs-2480	146	10	estimators	estimator	NOUN
iajs-2480	146	11	for	for	ADP
iajs-2480	146	12	the	the	DET
iajs-2480	146	13	normal	normal	ADJ
iajs-2480	146	14	mean	mean	NOUN
iajs-2480	146	15	with	with	ADP
iajs-2480	146	16	the	the	DET
iajs-2480	146	17	variance	variance	NOUN
iajs-2480	146	18	cases	case	NOUN
iajs-2480	146	19	.	.	PUNCT
iajs-2480	147	1	international	international	ADJ
iajs-2480	147	2	journal	journal	NOUN
iajs-2480	147	3	of	of	ADP
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iajs-2480	147	5	,	,	PUNCT
iajs-2480	147	6	38	38	NUM
iajs-2480	147	7	,	,	PUNCT
iajs-2480	147	8	2	2	NUM
iajs-2480	147	9	,	,	PUNCT
iajs-2480	147	10	1127	1127	NUM
iajs-2480	147	11	-	-	SYM
iajs-2480	147	12	1134	1134	NUM
iajs-2480	147	13	.	.	PUNCT
iajs-2480	148	1	12	12	NUM
iajs-2480	148	2	.	.	PUNCT
iajs-2480	149	1	al	al	PROPN
iajs-2480	149	2	-	-	PUNCT
iajs-2480	149	3	joboori	joboori	PROPN
iajs-2480	149	4	,	,	PUNCT
iajs-2480	149	5	a.n	a.n	PROPN
iajs-2480	149	6	.	.	PROPN
iajs-2480	149	7	;	;	PUNCT
iajs-2480	149	8	ameen	ameen	PROPN
iajs-2480	149	9	,	,	PUNCT
iajs-2480	149	10	m.m	m.m	PROPN
iajs-2480	149	11	.	.	PROPN
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iajs-2480	149	13	the	the	DET
iajs-2480	149	14	shape	shape	NOUN
iajs-2480	149	15	parameter	parameter	NOUN
iajs-2480	149	16	of	of	ADP
iajs-2480	149	17	generalize	generalize	VERB
iajs-2480	149	18	rayleigh	rayleigh	NOUN
iajs-2480	149	19	distribution	distribution	NOUN
iajs-2480	149	20	using	use	VERB
iajs-2480	149	21	bayesian	bayesian	NOUN
iajs-2480	149	22	-	-	PUNCT
iajs-2480	149	23	shrinkage	shrinkage	NOUN
iajs-2480	149	24	technique	technique	NOUN
iajs-2480	149	25	.	.	PUNCT
iajs-2480	150	1	international	international	ADJ
iajs-2480	150	2	journal	journal	NOUN
iajs-2480	150	3	of	of	ADP
iajs-2480	150	4	innovative	innovative	ADJ
iajs-2480	150	5	science	science	NOUN
iajs-2480	150	6	,	,	PUNCT
iajs-2480	150	7	engineering	engineering	NOUN
iajs-2480	150	8	,	,	PUNCT
iajs-2480	150	9	and	and	CCONJ
iajs-2480	150	10	technology.2015	technology.2015	PROPN
iajs-2480	150	11	,	,	PUNCT
iajs-2480	150	12	2	2	NUM
iajs-2480	150	13	,	,	PUNCT
iajs-2480	150	14	675	675	NUM
iajs-2480	150	15	-	-	SYM
iajs-2480	150	16	683	683	NUM
iajs-2480	150	17	.	.	PUNCT
iajs-2480	151	1	13	13	NUM
iajs-2480	151	2	.	.	X
iajs-2480	152	1	thompson	thompson	PROPN
iajs-2480	152	2	,	,	PUNCT
iajs-2480	152	3	j.r	j.r	PROPN
iajs-2480	152	4	.	.	PROPN
iajs-2480	153	1	some	some	DET
iajs-2480	153	2	shrinkage	shrinkage	NOUN
iajs-2480	153	3	techniques	technique	NOUN
iajs-2480	153	4	for	for	ADP
iajs-2480	153	5	estimating	estimate	VERB
iajs-2480	153	6	the	the	DET
iajs-2480	153	7	mean	mean	NOUN
iajs-2480	153	8	.	.	PUNCT
iajs-2480	154	1	j.	j.	PROPN
iajs-2480	154	2	amer	amer	PROPN
iajs-2480	154	3	.	.	PUNCT
iajs-2480	154	4	statist	statist	PROPN
iajs-2480	154	5	.	.	PUNCT
iajs-2480	155	1	assoc.1968	assoc.1968	PROPN
iajs-2480	155	2	,	,	PUNCT
iajs-2480	155	3	63	63	NUM
iajs-2480	155	4	,	,	PUNCT
iajs-2480	155	5	113	113	NUM
iajs-2480	155	6	-	-	SYM
iajs-2480	155	7	122	122	NUM
iajs-2480	155	8	.	.	PUNCT
iajs-2480	156	1	14	14	NUM
iajs-2480	156	2	.	.	PUNCT
iajs-2480	157	1	al	al	PROPN
iajs-2480	157	2	-	-	PUNCT
iajs-2480	157	3	hemyari	hemyari	PROPN
iajs-2480	157	4	,	,	PUNCT
iajs-2480	157	5	z.n	z.n	PROPN
iajs-2480	157	6	.	.	PROPN
iajs-2480	157	7	;	;	PUNCT
iajs-2480	157	8	al	al	PROPN
iajs-2480	157	9	-	-	PUNCT
iajs-2480	157	10	joboori	joboori	PROPN
iajs-2480	157	11	,	,	PUNCT
iajs-2480	157	12	a.n	a.n	PROPN
iajs-2480	157	13	.	.	PROPN
iajs-2480	157	14	on	on	ADP
iajs-2480	157	15	thompson	thompson	NOUN
iajs-2480	157	16	type	type	NOUN
iajs-2480	157	17	estimators	estimator	NOUN
iajs-2480	157	18	for	for	ADP
iajs-2480	157	19	the	the	DET
iajs-2480	157	20	mean	mean	NOUN
iajs-2480	157	21	of	of	ADP
iajs-2480	157	22	normal	normal	ADJ
iajs-2480	157	23	distribution	distribution	NOUN
iajs-2480	157	24	.	.	PUNCT
iajs-2480	158	1	revista	revista	PROPN
iajs-2480	158	2	investigacion	investigacion	PROPN
iajs-2480	158	3	operacional	operacional	PROPN
iajs-2480	158	4	j.2009	j.2009	PROPN
iajs-2480	158	5	,	,	PUNCT
iajs-2480	158	6	30	30	NUM
iajs-2480	158	7	,	,	PUNCT
iajs-2480	158	8	2	2	NUM
iajs-2480	158	9	,	,	PUNCT
iajs-2480	158	10	109116	109116	NUM
iajs-2480	158	11	.	.	PUNCT