id	sid	tid	token	lemma	pos
iajs-2512	1	1	microsoft	microsoft	PROPN
iajs-2512	1	2	word	word	PROPN
iajs-2512	1	3	82	82	NUM
iajs-2512	1	4	-	-	SYM
iajs-2512	1	5	91	91	NUM
iajs-2512	1	6	ibn	ibn	PROPN
iajs-2512	1	7	al	al	PROPN
iajs-2512	1	8	-	-	PUNCT
iajs-2512	1	9	haitham	haitham	PROPN
iajs-2512	1	10	jour	jour	X
iajs-2512	1	11	.	.	PROPN
iajs-2512	2	1	for	for	ADP
iajs-2512	2	2	pure	pure	ADJ
iajs-2512	2	3	&	&	CCONJ
iajs-2512	2	4	appl	appl	PROPN
iajs-2512	2	5	.	.	PUNCT
iajs-2512	3	1	sci	sci	PROPN
iajs-2512	3	2	.	.	PROPN
iajs-2512	4	1	33	33	NUM
iajs-2512	4	2	(	(	PUNCT
iajs-2512	4	3	4	4	NUM
iajs-2512	4	4	)	)	PUNCT
iajs-2512	4	5	2020	2020	NUM
iajs-2512	4	6	82	82	NUM
iajs-2512	4	7	          	          	SPACE
iajs-2512	4	8	comparison	comparison	NOUN
iajs-2512	4	9	among	among	ADP
iajs-2512	4	10	three	three	NUM
iajs-2512	4	11	estimation	estimation	NOUN
iajs-2512	4	12	methods	method	NOUN
iajs-2512	4	13	to	to	PART
iajs-2512	4	14	estimate	estimate	VERB
iajs-2512	4	15	cascade	cascade	NOUN
iajs-2512	4	16	reliability	reliability	NOUN
iajs-2512	4	17	model	model	NOUN
iajs-2512	4	18	(	(	PUNCT
iajs-2512	4	19	2	2	NUM
iajs-2512	4	20	+	+	NOUN
iajs-2512	4	21	1	1	NUM
iajs-2512	4	22	)	)	PUNCT
iajs-2512	4	23	based	base	VERB
iajs-2512	4	24	on	on	ADP
iajs-2512	4	25	inverted	inverted	ADJ
iajs-2512	4	26	exponential	exponential	ADJ
iajs-2512	4	27	distribution	distribution	NOUN
iajs-2512	4	28	sairan	sairan	NOUN
iajs-2512	4	29	hamza	hamza	PROPN
iajs-2512	4	30	raheem	raheem	PROPN
iajs-2512	4	31	university	university	PROPN
iajs-2512	4	32	of	of	ADP
iajs-2512	4	33	garmian	garmian	PROPN
iajs-2512	4	34	,	,	PUNCT
iajs-2512	4	35	college	college	NOUN
iajs-2512	4	36	of	of	ADP
iajs-2512	4	37	computing	computing	NOUN
iajs-2512	4	38	and	and	CCONJ
iajs-2512	4	39	information	information	NOUN
iajs-2512	4	40	technology	technology	NOUN
iajs-2512	4	41	,	,	PUNCT
iajs-2512	4	42	it	it	PRON
iajs-2512	4	43	.	.	PUNCT
iajs-2512	5	1	department	department	NOUN
iajs-2512	5	2	sairan.hamza@garmian.edu.krd	sairan.hamza@garmian.edu.krd	PROPN
iajs-2512	5	3	abstract	abstract	NOUN
iajs-2512	5	4	in	in	ADP
iajs-2512	5	5	this	this	DET
iajs-2512	5	6	paper	paper	NOUN
iajs-2512	5	7	,	,	PUNCT
iajs-2512	5	8	we	we	PRON
iajs-2512	5	9	are	be	AUX
iajs-2512	5	10	mainly	mainly	ADV
iajs-2512	5	11	concerned	concerned	ADJ
iajs-2512	5	12	with	with	ADP
iajs-2512	5	13	estimating	estimate	VERB
iajs-2512	5	14	cascade	cascade	NOUN
iajs-2512	5	15	reliability	reliability	NOUN
iajs-2512	5	16	model	model	NOUN
iajs-2512	5	17	(	(	PUNCT
iajs-2512	5	18	2	2	NUM
iajs-2512	5	19	+	+	NOUN
iajs-2512	5	20	1	1	NUM
iajs-2512	5	21	)	)	PUNCT
iajs-2512	5	22	based	base	VERB
iajs-2512	5	23	on	on	ADP
iajs-2512	5	24	inverted	inverted	ADJ
iajs-2512	5	25	exponential	exponential	ADJ
iajs-2512	5	26	distribution	distribution	NOUN
iajs-2512	5	27	and	and	CCONJ
iajs-2512	5	28	comparing	compare	VERB
iajs-2512	5	29	among	among	ADP
iajs-2512	5	30	the	the	DET
iajs-2512	5	31	estimation	estimation	NOUN
iajs-2512	5	32	methods	method	NOUN
iajs-2512	5	33	that	that	PRON
iajs-2512	5	34	are	be	AUX
iajs-2512	5	35	used	use	VERB
iajs-2512	5	36	.	.	PUNCT
iajs-2512	6	1	the	the	DET
iajs-2512	6	2	maximum	maximum	ADJ
iajs-2512	6	3	likelihood	likelihood	NOUN
iajs-2512	6	4	estimator	estimator	NOUN
iajs-2512	6	5	and	and	CCONJ
iajs-2512	6	6	uniformly	uniformly	ADV
iajs-2512	6	7	minimum	minimum	ADJ
iajs-2512	6	8	variance	variance	NOUN
iajs-2512	6	9	unbiased	unbiased	ADJ
iajs-2512	6	10	estimators	estimator	NOUN
iajs-2512	6	11	are	be	AUX
iajs-2512	6	12	used	use	VERB
iajs-2512	6	13	to	to	PART
iajs-2512	6	14	get	get	VERB
iajs-2512	6	15	the	the	DET
iajs-2512	6	16	parameters	parameter	NOUN
iajs-2512	6	17	of	of	ADP
iajs-2512	6	18	the	the	DET
iajs-2512	6	19	strengths	strength	NOUN
iajs-2512	6	20	𝑋	𝑋	NOUN
iajs-2512	6	21	and	and	CCONJ
iajs-2512	6	22	the	the	DET
iajs-2512	6	23	stress	stress	NOUN
iajs-2512	6	24	𝑌	𝑌	PROPN
iajs-2512	6	25	;	;	PUNCT
iajs-2512	6	26	k=1,2,3	k=1,2,3	X
iajs-2512	6	27	respectively	respectively	ADV
iajs-2512	6	28	then	then	ADV
iajs-2512	6	29	,	,	PUNCT
iajs-2512	6	30	by	by	ADP
iajs-2512	6	31	using	use	VERB
iajs-2512	6	32	the	the	DET
iajs-2512	6	33	unbiased	unbiased	ADJ
iajs-2512	6	34	estimators	estimator	NOUN
iajs-2512	6	35	,	,	PUNCT
iajs-2512	6	36	we	we	PRON
iajs-2512	6	37	propose	propose	VERB
iajs-2512	6	38	preliminary	preliminary	ADJ
iajs-2512	6	39	test	test	NOUN
iajs-2512	6	40	single	single	ADJ
iajs-2512	6	41	stage	stage	NOUN
iajs-2512	6	42	shrinkage	shrinkage	NOUN
iajs-2512	6	43	(	(	PUNCT
iajs-2512	6	44	ptsss	ptsss	NOUN
iajs-2512	6	45	)	)	PUNCT
iajs-2512	6	46	estimator	estimator	NOUN
iajs-2512	6	47	when	when	SCONJ
iajs-2512	6	48	a	a	DET
iajs-2512	6	49	prior	prior	ADJ
iajs-2512	6	50	knowledge	knowledge	NOUN
iajs-2512	6	51	is	be	AUX
iajs-2512	6	52	available	available	ADJ
iajs-2512	6	53	for	for	ADP
iajs-2512	6	54	the	the	DET
iajs-2512	6	55	scale	scale	NOUN
iajs-2512	6	56	parameter	parameter	NOUN
iajs-2512	6	57	as	as	ADP
iajs-2512	6	58	initial	initial	ADJ
iajs-2512	6	59	value	value	NOUN
iajs-2512	6	60	due	due	ADJ
iajs-2512	6	61	past	past	ADJ
iajs-2512	6	62	experiences	experience	NOUN
iajs-2512	6	63	.	.	PUNCT
iajs-2512	7	1	the	the	DET
iajs-2512	7	2	mean	mean	ADJ
iajs-2512	7	3	squared	square	VERB
iajs-2512	7	4	error	error	NOUN
iajs-2512	7	5	[	[	X
iajs-2512	7	6	mse	mse	NOUN
iajs-2512	7	7	]	]	PUNCT
iajs-2512	7	8	for	for	ADP
iajs-2512	7	9	the	the	DET
iajs-2512	7	10	proposed	propose	VERB
iajs-2512	7	11	estimator	estimator	NOUN
iajs-2512	7	12	is	be	AUX
iajs-2512	7	13	derived	derive	VERB
iajs-2512	7	14	to	to	PART
iajs-2512	7	15	compare	compare	VERB
iajs-2512	7	16	among	among	ADP
iajs-2512	7	17	the	the	DET
iajs-2512	7	18	methods	method	NOUN
iajs-2512	7	19	.	.	PUNCT
iajs-2512	8	1	numerical	numerical	ADJ
iajs-2512	8	2	results	result	NOUN
iajs-2512	8	3	about	about	ADP
iajs-2512	8	4	conduct	conduct	NOUN
iajs-2512	8	5	of	of	ADP
iajs-2512	8	6	the	the	DET
iajs-2512	8	7	considered	consider	VERB
iajs-2512	8	8	estimator	estimator	NOUN
iajs-2512	8	9	are	be	AUX
iajs-2512	8	10	discussed	discuss	VERB
iajs-2512	8	11	including	include	VERB
iajs-2512	8	12	the	the	DET
iajs-2512	8	13	study	study	NOUN
iajs-2512	8	14	of	of	ADP
iajs-2512	8	15	mentioned	mention	VERB
iajs-2512	8	16	expressions	expression	NOUN
iajs-2512	8	17	.	.	PUNCT
iajs-2512	9	1	the	the	DET
iajs-2512	9	2	numerical	numerical	ADJ
iajs-2512	9	3	results	result	NOUN
iajs-2512	9	4	are	be	AUX
iajs-2512	9	5	exhibited	exhibit	VERB
iajs-2512	9	6	and	and	CCONJ
iajs-2512	9	7	put	put	VERB
iajs-2512	9	8	it	it	PRON
iajs-2512	9	9	in	in	ADP
iajs-2512	9	10	tables	table	NOUN
iajs-2512	9	11	.	.	PUNCT
iajs-2512	10	1	keyword	keyword	NOUN
iajs-2512	10	2	:	:	PUNCT
iajs-2512	10	3	inverted	inverted	ADJ
iajs-2512	10	4	exponential	exponential	ADJ
iajs-2512	10	5	distribution	distribution	NOUN
iajs-2512	10	6	,	,	PUNCT
iajs-2512	10	7	maximum	maximum	ADJ
iajs-2512	10	8	likelihood	likelihood	NOUN
iajs-2512	10	9	method	method	NOUN
iajs-2512	10	10	,	,	PUNCT
iajs-2512	10	11	uniformly	uniformly	ADV
iajs-2512	10	12	minimum	minimum	ADJ
iajs-2512	10	13	variance	variance	NOUN
iajs-2512	10	14	unbiased	unbiased	ADJ
iajs-2512	10	15	method	method	NOUN
iajs-2512	10	16	,	,	PUNCT
iajs-2512	10	17	single	single	ADJ
iajs-2512	10	18	stage	stage	NOUN
iajs-2512	10	19	shrinkage	shrinkage	NOUN
iajs-2512	10	20	estimator	estimator	NOUN
iajs-2512	10	21	,	,	PUNCT
iajs-2512	10	22	mean	mean	VERB
iajs-2512	10	23	squared	square	VERB
iajs-2512	10	24	error	error	NOUN
iajs-2512	10	25	and	and	CCONJ
iajs-2512	10	26	cascade	cascade	NOUN
iajs-2512	10	27	reliability	reliability	NOUN
iajs-2512	10	28	model	model	NOUN
iajs-2512	10	29	(	(	PUNCT
iajs-2512	10	30	2	2	NUM
iajs-2512	10	31	+	+	NOUN
iajs-2512	10	32	1	1	NUM
iajs-2512	10	33	)	)	PUNCT
iajs-2512	10	34	.	.	PUNCT
iajs-2512	11	1	1	1	X
iajs-2512	11	2	.	.	X
iajs-2512	11	3	introduction	introduction	NOUN
iajs-2512	11	4	an	an	DET
iajs-2512	11	5	𝑛	𝑛	PRON
iajs-2512	11	6	cascade	cascade	NOUN
iajs-2512	11	7	system	system	NOUN
iajs-2512	11	8	is	be	AUX
iajs-2512	11	9	defined	define	VERB
iajs-2512	11	10	as	as	ADP
iajs-2512	11	11	a	a	DET
iajs-2512	11	12	special	special	ADJ
iajs-2512	11	13	type	type	NOUN
iajs-2512	11	14	of	of	ADP
iajs-2512	11	15	standby	standby	ADJ
iajs-2512	11	16	system	system	NOUN
iajs-2512	11	17	with	with	ADP
iajs-2512	11	18	𝑛	𝑛	DET
iajs-2512	11	19	components	component	NOUN
iajs-2512	11	20	and	and	CCONJ
iajs-2512	11	21	it	it	PRON
iajs-2512	11	22	could	could	AUX
iajs-2512	11	23	be	be	AUX
iajs-2512	11	24	considered	consider	VERB
iajs-2512	11	25	as	as	ADP
iajs-2512	11	26	a	a	DET
iajs-2512	11	27	kind	kind	NOUN
iajs-2512	11	28	of	of	ADP
iajs-2512	11	29	stress	stress	NOUN
iajs-2512	11	30	-	-	PUNCT
iajs-2512	11	31	strength	strength	NOUN
iajs-2512	11	32	model	model	NOUN
iajs-2512	11	33	.	.	PUNCT
iajs-2512	12	1	the	the	DET
iajs-2512	12	2	reliability	reliability	NOUN
iajs-2512	12	3	system	system	NOUN
iajs-2512	12	4	of	of	ADP
iajs-2512	12	5	a	a	DET
iajs-2512	12	6	cascade	cascade	NOUN
iajs-2512	12	7	model	model	NOUN
iajs-2512	12	8	can	can	AUX
iajs-2512	12	9	be	be	AUX
iajs-2512	12	10	described	describe	VERB
iajs-2512	12	11	by	by	ADP
iajs-2512	12	12	a	a	DET
iajs-2512	12	13	function	function	NOUN
iajs-2512	12	14	of	of	ADP
iajs-2512	12	15	parameters	parameter	NOUN
iajs-2512	12	16	of	of	ADP
iajs-2512	12	17	the	the	DET
iajs-2512	12	18	identical	identical	ADJ
iajs-2512	12	19	and	and	CCONJ
iajs-2512	12	20	independent	independent	ADJ
iajs-2512	12	21	distributions	distribution	NOUN
iajs-2512	12	22	with	with	ADP
iajs-2512	12	23	strength	strength	NOUN
iajs-2512	12	24	(	(	PUNCT
iajs-2512	12	25	x	x	NOUN
iajs-2512	12	26	)	)	PUNCT
iajs-2512	12	27	and	and	CCONJ
iajs-2512	12	28	stress	stress	NOUN
iajs-2512	12	29	(	(	PUNCT
iajs-2512	12	30	y	y	NOUN
iajs-2512	12	31	)	)	PUNCT
iajs-2512	12	32	and	and	CCONJ
iajs-2512	12	33	the	the	DET
iajs-2512	12	34	attenuation	attenuation	NOUN
iajs-2512	12	35	factor	factor	NOUN
iajs-2512	12	36	(	(	PUNCT
iajs-2512	12	37	k	k	NOUN
iajs-2512	12	38	)	)	PUNCT
iajs-2512	12	39	in	in	ADP
iajs-2512	12	40	other	other	ADJ
iajs-2512	12	41	words	word	NOUN
iajs-2512	12	42	,	,	PUNCT
iajs-2512	12	43	the	the	DET
iajs-2512	12	44	stresses	stress	NOUN
iajs-2512	12	45	on	on	ADP
iajs-2512	12	46	subsequent	subsequent	ADJ
iajs-2512	12	47	components	component	NOUN
iajs-2512	12	48	are	be	AUX
iajs-2512	12	49	attenuated	attenuate	VERB
iajs-2512	12	50	by	by	ADP
iajs-2512	12	51	a	a	DET
iajs-2512	12	52	factor	factor	NOUN
iajs-2512	12	53	‘	'	PUNCT
iajs-2512	12	54	k	k	NOUN
iajs-2512	12	55	’	'	PUNCT
iajs-2512	12	56	,	,	PUNCT
iajs-2512	12	57	called	call	VERB
iajs-2512	12	58	attenuation	attenuation	NOUN
iajs-2512	12	59	factor	factor	NOUN
iajs-2512	12	60	that	that	PRON
iajs-2512	12	61	is	be	AUX
iajs-2512	12	62	generally	generally	ADV
iajs-2512	12	63	assumed	assume	VERB
iajs-2512	12	64	to	to	PART
iajs-2512	12	65	be	be	AUX
iajs-2512	12	66	a	a	DET
iajs-2512	12	67	constant	constant	ADJ
iajs-2512	12	68	for	for	ADP
iajs-2512	12	69	all	all	DET
iajs-2512	12	70	the	the	DET
iajs-2512	12	71	components	component	NOUN
iajs-2512	12	72	or	or	CCONJ
iajs-2512	12	73	to	to	PART
iajs-2512	12	74	be	be	AUX
iajs-2512	12	75	a	a	DET
iajs-2512	12	76	parameter	parameter	NOUN
iajs-2512	12	77	having	have	VERB
iajs-2512	12	78	different	different	ADJ
iajs-2512	12	79	fixed	fix	VERB
iajs-2512	12	80	values	value	NOUN
iajs-2512	12	81	for	for	ADP
iajs-2512	12	82	different	different	ADJ
iajs-2512	12	83	components	component	NOUN
iajs-2512	12	84	,	,	PUNCT
iajs-2512	12	85	or	or	CCONJ
iajs-2512	12	86	it	it	PRON
iajs-2512	12	87	may	may	AUX
iajs-2512	12	88	be	be	AUX
iajs-2512	12	89	simply	simply	ADV
iajs-2512	12	90	a	a	DET
iajs-2512	12	91	random	random	ADJ
iajs-2512	12	92	variable	variable	NOUN
iajs-2512	12	93	.	.	PUNCT
iajs-2512	13	1	this	this	DET
iajs-2512	13	2	ibn	ibn	PROPN
iajs-2512	13	3	al	al	PROPN
iajs-2512	13	4	haitham	haitham	PROPN
iajs-2512	13	5	journal	journal	PROPN
iajs-2512	13	6	for	for	ADP
iajs-2512	13	7	pure	pure	ADJ
iajs-2512	13	8	and	and	CCONJ
iajs-2512	13	9	applied	apply	VERB
iajs-2512	13	10	science	science	NOUN
iajs-2512	13	11	journal	journal	PROPN
iajs-2512	13	12	homepage	homepage	NOUN
iajs-2512	13	13	:	:	PUNCT
iajs-2512	13	14	http://jih.uobaghdad.edu.iq/index.php/j/index	http://jih.uobaghdad.edu.iq/index.php/j/index	NOUN
iajs-2512	13	15	doi	doi	NOUN
iajs-2512	13	16	:	:	PUNCT
iajs-2512	13	17	10.30526/33.4.2512	10.30526/33.4.2512	PROPN
iajs-2512	13	18	article	article	NOUN
iajs-2512	13	19	history	history	NOUN
iajs-2512	13	20	:	:	PUNCT
iajs-2512	13	21	received	receive	VERB
iajs-2512	13	22	13	13	NUM
iajs-2512	13	23	january	january	NOUN
iajs-2512	13	24	2020	2020	NUM
iajs-2512	13	25	,	,	PUNCT
iajs-2512	13	26	accepted	accept	VERB
iajs-2512	13	27	12	12	NUM
iajs-2512	13	28	february	february	NOUN
iajs-2512	13	29	2020	2020	NUM
iajs-2512	13	30	,	,	PUNCT
iajs-2512	13	31	published	publish	VERB
iajs-2512	13	32	in	in	ADP
iajs-2512	13	33	october	october	PROPN
iajs-2512	13	34	2020	2020	NUM
iajs-2512	13	35	  	  	SPACE
iajs-2512	13	36	83	83	NUM
iajs-2512	13	37	  	  	SPACE
iajs-2512	13	38	ibn	ibn	PROPN
iajs-2512	13	39	al	al	PROPN
iajs-2512	13	40	-	-	PUNCT
iajs-2512	13	41	haitham	haitham	PROPN
iajs-2512	13	42	jour	jour	X
iajs-2512	13	43	.	.	PROPN
iajs-2512	14	1	for	for	ADP
iajs-2512	14	2	pure	pure	ADJ
iajs-2512	14	3	&	&	CCONJ
iajs-2512	14	4	appl	appl	PROPN
iajs-2512	14	5	.	.	PUNCT
iajs-2512	15	1	sci	sci	PROPN
iajs-2512	15	2	.	.	PROPN
iajs-2512	16	1	33	33	NUM
iajs-2512	16	2	(	(	PUNCT
iajs-2512	16	3	4	4	NUM
iajs-2512	16	4	)	)	PUNCT
iajs-2512	16	5	2020	2020	NUM
iajs-2512	16	6	system	system	NOUN
iajs-2512	16	7	was	be	AUX
iajs-2512	16	8	first	first	ADV
iajs-2512	16	9	proposed	propose	VERB
iajs-2512	16	10	and	and	CCONJ
iajs-2512	16	11	studied	study	VERB
iajs-2512	16	12	by	by	ADP
iajs-2512	16	13	pandit	pandit	NOUN
iajs-2512	16	14	and	and	CCONJ
iajs-2512	16	15	sriwastav	sriwastav	PROPN
iajs-2512	16	16	(	(	PUNCT
iajs-2512	16	17	1975).rekha	1975).rekha	NUM
iajs-2512	16	18	and	and	CCONJ
iajs-2512	16	19	chechu	chechu	PROPN
iajs-2512	16	20	raju	raju	PROPN
iajs-2512	16	21	(	(	PUNCT
iajs-2512	16	22	1999	1999	NUM
iajs-2512	16	23	)	)	PUNCT
iajs-2512	16	24	presented	present	VERB
iajs-2512	16	25	a	a	DET
iajs-2512	16	26	closed	closed	ADJ
iajs-2512	16	27	form	form	NOUN
iajs-2512	16	28	solution	solution	NOUN
iajs-2512	16	29	of	of	ADP
iajs-2512	16	30	stress	stress	NOUN
iajs-2512	16	31	attenuated	attenuate	VERB
iajs-2512	16	32	reliability	reliability	NOUN
iajs-2512	16	33	function	function	NOUN
iajs-2512	16	34	for	for	ADP
iajs-2512	16	35	ncascade	ncascade	ADJ
iajs-2512	16	36	system	system	NOUN
iajs-2512	16	37	with	with	ADP
iajs-2512	16	38	exponential	exponential	ADJ
iajs-2512	16	39	stress	stress	NOUN
iajs-2512	16	40	and	and	CCONJ
iajs-2512	16	41	standby	standby	ADJ
iajs-2512	16	42	strengths	strength	NOUN
iajs-2512	16	43	following	follow	VERB
iajs-2512	16	44	rayleigh	rayleigh	PROPN
iajs-2512	16	45	and	and	CCONJ
iajs-2512	16	46	exponential	exponential	ADJ
iajs-2512	16	47	distributions	distribution	NOUN
iajs-2512	16	48	.	.	PUNCT
iajs-2512	17	1	sundar	sundar	NOUN
iajs-2512	17	2	(	(	PUNCT
iajs-2512	17	3	2012)has	2012)has	NUM
iajs-2512	17	4	done	do	VERB
iajs-2512	17	5	a	a	DET
iajs-2512	17	6	case	case	NOUN
iajs-2512	17	7	study	study	NOUN
iajs-2512	17	8	of	of	ADP
iajs-2512	17	9	cascade	cascade	NOUN
iajs-2512	17	10	reliability	reliability	NOUN
iajs-2512	17	11	with	with	ADP
iajs-2512	17	12	rayleigh	rayleigh	PROPN
iajs-2512	17	13	distribution	distribution	NOUN
iajs-2512	17	14	.	.	PUNCT
iajs-2512	18	1	devi	devi	PROPN
iajs-2512	18	2	(	(	PUNCT
iajs-2512	18	3	2016	2016	NUM
iajs-2512	18	4	)	)	PUNCT
iajs-2512	18	5	studied	study	VERB
iajs-2512	18	6	cascade	cascade	NOUN
iajs-2512	18	7	system	system	NOUN
iajs-2512	18	8	reliability	reliability	NOUN
iajs-2512	18	9	with	with	ADP
iajs-2512	18	10	stress	stress	NOUN
iajs-2512	18	11	and	and	CCONJ
iajs-2512	18	12	strength	strength	NOUN
iajs-2512	18	13	follow	follow	NOUN
iajs-2512	18	14	lindley	lindley	NOUN
iajs-2512	18	15	distribution	distribution	NOUN
iajs-2512	18	16	.	.	PUNCT
iajs-2512	19	1	dong	dong	PROPN
iajs-2512	19	2	and	and	CCONJ
iajs-2512	19	3	cui	cui	VERB
iajs-2512	19	4	studied	study	VERB
iajs-2512	19	5	system	system	NOUN
iajs-2512	19	6	reliability	reliability	NOUN
iajs-2512	19	7	under	under	ADP
iajs-2512	19	8	cascading	cascade	VERB
iajs-2512	19	9	failure	failure	NOUN
iajs-2512	19	10	models	model	NOUN
iajs-2512	19	11	.	.	PUNCT
iajs-2512	20	1	doloi	doloi	NOUN
iajs-2512	20	2	and	and	CCONJ
iajs-2512	20	3	gogoi	gogoi	VERB
iajs-2512	20	4	(	(	PUNCT
iajs-2512	20	5	2017	2017	NUM
iajs-2512	20	6	)	)	PUNCT
iajs-2512	20	7	presented	present	VERB
iajs-2512	20	8	a	a	DET
iajs-2512	20	9	cascade	cascade	NOUN
iajs-2512	20	10	reliability	reliability	NOUN
iajs-2512	20	11	model	model	NOUN
iajs-2512	20	12	for	for	ADP
iajs-2512	20	13	exponential	exponential	ADJ
iajs-2512	20	14	and	and	CCONJ
iajs-2512	20	15	lindley	lindley	NOUN
iajs-2512	20	16	distributions	distribution	NOUN
iajs-2512	20	17	.	.	PUNCT
iajs-2512	21	1	reddy(2016	reddy(2016	NOUN
iajs-2512	21	2	)	)	PUNCT
iajs-2512	21	3	studied	study	VERB
iajs-2512	21	4	cascade	cascade	NOUN
iajs-2512	21	5	and	and	CCONJ
iajs-2512	21	6	system	system	NOUN
iajs-2512	21	7	reliability	reliability	NOUN
iajs-2512	21	8	for	for	ADP
iajs-2512	21	9	exponential	exponential	ADJ
iajs-2512	21	10	distributions	distribution	NOUN
iajs-2512	21	11	.	.	PUNCT
iajs-2512	22	1	in	in	ADP
iajs-2512	22	2	(	(	PUNCT
iajs-2512	22	3	2019	2019	NUM
iajs-2512	22	4	)	)	PUNCT
iajs-2512	22	5	kanaparthi	kanaparthi	PROPN
iajs-2512	22	6	et	et	PROPN
iajs-2512	22	7	el	el	PROPN
iajs-2512	22	8	studied	study	VERB
iajs-2512	22	9	cascade	cascade	NOUN
iajs-2512	22	10	and	and	CCONJ
iajs-2512	22	11	system	system	NOUN
iajs-2512	22	12	reliability	reliability	NOUN
iajs-2512	22	13	for	for	ADP
iajs-2512	22	14	the	the	DET
iajs-2512	22	15	new	new	ADJ
iajs-2512	22	16	rayleigh	rayleigh	PROPN
iajs-2512	22	17	-	-	PUNCT
iajs-2512	22	18	pareto	pareto	VERB
iajs-2512	22	19	distribution	distribution	NOUN
iajs-2512	22	20	the	the	DET
iajs-2512	22	21	aim	aim	NOUN
iajs-2512	22	22	of	of	ADP
iajs-2512	22	23	this	this	DET
iajs-2512	22	24	study	study	NOUN
iajs-2512	22	25	is	be	AUX
iajs-2512	22	26	to	to	PART
iajs-2512	22	27	compare	compare	VERB
iajs-2512	22	28	among	among	ADP
iajs-2512	22	29	three	three	NUM
iajs-2512	22	30	estimation	estimation	NOUN
iajs-2512	22	31	methods	method	NOUN
iajs-2512	22	32	(	(	PUNCT
iajs-2512	22	33	mle	mle	PROPN
iajs-2512	22	34	,	,	PUNCT
iajs-2512	22	35	umvue	umvue	ADJ
iajs-2512	22	36	and	and	CCONJ
iajs-2512	22	37	ptsss	ptsss	NOUN
iajs-2512	22	38	)	)	PUNCT
iajs-2512	22	39	in	in	SCONJ
iajs-2512	22	40	estimate	estimate	VERB
iajs-2512	22	41	the	the	DET
iajs-2512	22	42	cascade	cascade	NOUN
iajs-2512	22	43	reliability	reliability	NOUN
iajs-2512	22	44	model(2	model(2	NOUN
iajs-2512	22	45	+	+	NOUN
iajs-2512	22	46	1	1	NUM
iajs-2512	22	47	)	)	PUNCT
iajs-2512	22	48	based	base	VERB
iajs-2512	22	49	on	on	ADP
iajs-2512	22	50	inverted	inverted	ADJ
iajs-2512	22	51	exponential	exponential	ADJ
iajs-2512	22	52	distribution	distribution	NOUN
iajs-2512	22	53	(	(	PUNCT
iajs-2512	22	54	ie	ie	X
iajs-2512	22	55	)	)	PUNCT
iajs-2512	22	56	with	with	ADP
iajs-2512	22	57	unknown	unknown	ADJ
iajs-2512	22	58	scale	scale	NOUN
iajs-2512	22	59	parameter	parameter	NOUN
iajs-2512	22	60	.	.	PUNCT
iajs-2512	23	1	for	for	ADP
iajs-2512	23	2	this	this	DET
iajs-2512	23	3	purpose	purpose	NOUN
iajs-2512	23	4	,	,	PUNCT
iajs-2512	23	5	we	we	PRON
iajs-2512	23	6	use	use	VERB
iajs-2512	23	7	thamson	thamson	NOUN
iajs-2512	23	8	shrinkage	shrinkage	NOUN
iajs-2512	23	9	technique	technique	NOUN
iajs-2512	23	10	through	through	ADP
iajs-2512	23	11	the	the	DET
iajs-2512	23	12	equation	equation	NOUN
iajs-2512	23	13	below	below	ADV
iajs-2512	23	14	:	:	PUNCT
iajs-2512	23	15	𝛼	𝛼	NOUN
iajs-2512	23	16	∅	∅	NOUN
iajs-2512	23	17	𝛼	𝛼	NOUN
iajs-2512	23	18	𝛼	𝛼	NOUN
iajs-2512	23	19	𝛼	𝛼	X
iajs-2512	23	20	𝛼	𝛼	X
iajs-2512	23	21	(	(	PUNCT
iajs-2512	23	22	1	1	NUM
iajs-2512	23	23	)	)	PUNCT
iajs-2512	23	24	where	where	SCONJ
iajs-2512	23	25	𝛼	𝛼	NOUN
iajs-2512	23	26	is	be	AUX
iajs-2512	23	27	a	a	DET
iajs-2512	23	28	prior	prior	ADJ
iajs-2512	23	29	knowledge(estimation	knowledge(estimation	NOUN
iajs-2512	23	30	)	)	PUNCT
iajs-2512	23	31	about	about	ADP
iajs-2512	23	32	the	the	DET
iajs-2512	23	33	parameter	parameter	NOUN
iajs-2512	23	34	𝛼	𝛼	NOUN
iajs-2512	23	35	and	and	CCONJ
iajs-2512	23	36	0	0	NUM
iajs-2512	23	37	∅	∅	NOUN
iajs-2512	23	38	𝛼	𝛼	NOUN
iajs-2512	23	39	1	1	NUM
iajs-2512	23	40	is	be	AUX
iajs-2512	23	41	a	a	DET
iajs-2512	23	42	shrinkage	shrinkage	NOUN
iajs-2512	23	43	weight	weight	NOUN
iajs-2512	23	44	factor	factor	NOUN
iajs-2512	23	45	to	to	PART
iajs-2512	23	46	assign	assign	VERB
iajs-2512	23	47	the	the	DET
iajs-2512	23	48	degree	degree	NOUN
iajs-2512	23	49	of	of	ADP
iajs-2512	23	50	belief	belief	NOUN
iajs-2512	23	51	in	in	ADP
iajs-2512	23	52	𝛼	𝛼	PRON
iajs-2512	23	53	;	;	PUNCT
iajs-2512	23	54	also	also	ADV
iajs-2512	23	55	𝛼	𝛼	PROPN
iajs-2512	23	56	is	be	AUX
iajs-2512	23	57	the	the	DET
iajs-2512	23	58	classical	classical	ADJ
iajs-2512	23	59	estimator	estimator	NOUN
iajs-2512	23	60	of	of	ADP
iajs-2512	23	61	𝛼	𝛼	PROPN
iajs-2512	23	62	(	(	PUNCT
iajs-2512	23	63	mle	mle	PROPN
iajs-2512	23	64	or	or	CCONJ
iajs-2512	23	65	umvue	umvue	ADJ
iajs-2512	23	66	)	)	PUNCT
iajs-2512	23	67	.	.	PUNCT
iajs-2512	23	68	  	  	SPACE
iajs-2512	24	1	several	several	ADJ
iajs-2512	24	2	authors	author	NOUN
iajs-2512	24	3	have	have	AUX
iajs-2512	24	4	studied	study	VERB
iajs-2512	24	5	the	the	DET
iajs-2512	24	6	estimator	estimator	NOUN
iajs-2512	24	7	defined	define	VERB
iajs-2512	24	8	in	in	ADP
iajs-2512	24	9	(	(	PUNCT
iajs-2512	24	10	1	1	NUM
iajs-2512	24	11	)	)	PUNCT
iajs-2512	24	12	for	for	ADP
iajs-2512	24	13	a	a	DET
iajs-2512	24	14	special	special	ADJ
iajs-2512	24	15	distribution	distribution	NOUN
iajs-2512	24	16	for	for	ADP
iajs-2512	24	17	different	different	ADJ
iajs-2512	24	18	parameters	parameter	NOUN
iajs-2512	24	19	and	and	CCONJ
iajs-2512	24	20	suitable	suitable	ADJ
iajs-2512	24	21	regions	region	NOUN
iajs-2512	24	22	(	(	PUNCT
iajs-2512	24	23	r	r	NOUN
iajs-2512	24	24	)	)	PUNCT
iajs-2512	24	25	as	as	ADV
iajs-2512	24	26	well	well	ADV
iajs-2512	24	27	as	as	ADP
iajs-2512	24	28	for	for	ADP
iajs-2512	24	29	estimate	estimate	NOUN
iajs-2512	24	30	the	the	DET
iajs-2512	24	31	parameters	parameter	NOUN
iajs-2512	24	32	of	of	ADP
iajs-2512	24	33	linear	linear	PROPN
iajs-2512	24	34	regression	regression	NOUN
iajs-2512	24	35	model	model	NOUN
iajs-2512	24	36	.	.	PUNCT
iajs-2512	25	1	see	see	VERB
iajs-2512	25	2	[	[	X
iajs-2512	25	3	13	13	NUM
iajs-2512	25	4	-	-	SYM
iajs-2512	25	5	16	16	NUM
iajs-2512	25	6	]	]	PUNCT
iajs-2512	25	7	.	.	PUNCT
iajs-2512	26	1	2	2	X
iajs-2512	26	2	.	.	X
iajs-2512	26	3	statistical	statistical	ADJ
iajs-2512	26	4	model	model	NOUN
iajs-2512	26	5	in	in	ADP
iajs-2512	26	6	life	life	NOUN
iajs-2512	26	7	distribution	distribution	NOUN
iajs-2512	26	8	,	,	PUNCT
iajs-2512	26	9	if	if	SCONJ
iajs-2512	26	10	a	a	DET
iajs-2512	26	11	random	random	ADJ
iajs-2512	26	12	variable	variable	NOUN
iajs-2512	26	13	x	x	PUNCT
iajs-2512	26	14	following	follow	VERB
iajs-2512	26	15	an	an	DET
iajs-2512	26	16	exponential	exponential	ADJ
iajs-2512	26	17	distribution	distribution	NOUN
iajs-2512	26	18	then	then	ADV
iajs-2512	26	19	the	the	DET
iajs-2512	26	20	variable	variable	NOUN
iajs-2512	26	21	𝑌	𝑌	PROPN
iajs-2512	26	22	has	have	VERB
iajs-2512	26	23	an	an	DET
iajs-2512	26	24	inverted	inverted	ADJ
iajs-2512	26	25	exponential	exponential	ADJ
iajs-2512	26	26	distribution	distribution	NOUN
iajs-2512	26	27	(	(	PUNCT
iajs-2512	26	28	ie	ie	X
iajs-2512	26	29	)	)	PUNCT
iajs-2512	26	30	.	.	PUNCT
iajs-2512	27	1	the	the	DET
iajs-2512	27	2	invers	inver	NOUN
iajs-2512	27	3	exponential	exponential	ADJ
iajs-2512	27	4	distribution	distribution	NOUN
iajs-2512	27	5	ie	ie	X
iajs-2512	27	6	𝛼	𝛼	PROPN
iajs-2512	27	7	has	have	VERB
iajs-2512	27	8	the	the	DET
iajs-2512	27	9	following	follow	VERB
iajs-2512	27	10	probability	probability	NOUN
iajs-2512	27	11	density	density	NOUN
iajs-2512	27	12	function	function	NOUN
iajs-2512	27	13	p.d.f	p.d.f	ADJ
iajs-2512	27	14	and	and	CCONJ
iajs-2512	27	15	cumulative	cumulative	ADJ
iajs-2512	27	16	distribution	distribution	NOUN
iajs-2512	27	17	function	function	NOUN
iajs-2512	27	18	c.d.f	c.d.f	NOUN
iajs-2512	27	19	.	.	PUNCT
iajs-2512	28	1	for	for	ADP
iajs-2512	28	2	𝑥	𝑥	NOUN
iajs-2512	28	3	0	0	NUM
iajs-2512	28	4	:	:	PUNCT
iajs-2512	28	5	𝑓	𝑓	DET
iajs-2512	28	6	𝑥	𝑥	NOUN
iajs-2512	28	7	;	;	PUNCT
iajs-2512	28	8	𝛼	𝛼	PART
iajs-2512	28	9	𝑒𝑥𝑝	𝑒𝑥𝑝	INTJ
iajs-2512	28	10	;	;	PUNCT
iajs-2512	28	11	𝛼	𝛼	X
iajs-2512	28	12	0	0	NUM
iajs-2512	28	13	(	(	PUNCT
iajs-2512	28	14	2	2	NUM
iajs-2512	28	15	)	)	PUNCT
iajs-2512	28	16	𝐹	𝐹	PROPN
iajs-2512	29	1	𝑥	𝑥	NOUN
iajs-2512	29	2	;	;	PUNCT
iajs-2512	29	3	𝛼	𝛼	X
iajs-2512	29	4	𝑒𝑥𝑝	𝑒𝑥𝑝	INTJ
iajs-2512	29	5	;	;	PUNCT
iajs-2512	29	6	𝛼	𝛼	X
iajs-2512	29	7	0	0	NUM
iajs-2512	29	8	(	(	PUNCT
iajs-2512	29	9	3	3	NUM
iajs-2512	29	10	)	)	PUNCT
iajs-2512	29	11	killer	killer	NOUN
iajs-2512	29	12	and	and	CCONJ
iajs-2512	29	13	kamath	kamath	PROPN
iajs-2512	29	14	(	(	PUNCT
iajs-2512	29	15	1982	1982	NUM
iajs-2512	29	16	)	)	PUNCT
iajs-2512	29	17	defined	define	VERB
iajs-2512	29	18	and	and	CCONJ
iajs-2512	29	19	studied	study	VERB
iajs-2512	29	20	ie	ie	ADV
iajs-2512	29	21	for	for	ADP
iajs-2512	29	22	the	the	DET
iajs-2512	29	23	first	first	ADJ
iajs-2512	29	24	time	time	NOUN
iajs-2512	29	25	.	.	PUNCT
iajs-2512	30	1	lin	lin	PROPN
iajs-2512	30	2	et	et	PROPN
iajs-2512	30	3	al	al	PROPN
iajs-2512	30	4	(	(	PUNCT
iajs-2512	30	5	1989	1989	NUM
iajs-2512	30	6	)	)	PUNCT
iajs-2512	30	7	descripted	descripte	VERB
iajs-2512	30	8	ie	ie	PRON
iajs-2512	30	9	distribution	distribution	NOUN
iajs-2512	30	10	as	as	ADP
iajs-2512	30	11	a	a	DET
iajs-2512	30	12	lifetime	lifetime	NOUN
iajs-2512	30	13	model	model	NOUN
iajs-2512	30	14	.	.	PUNCT
iajs-2512	31	1	it	it	PRON
iajs-2512	31	2	can	can	AUX
iajs-2512	31	3	be	be	AUX
iajs-2512	31	4	seen	see	VERB
iajs-2512	31	5	that	that	SCONJ
iajs-2512	31	6	ie	ie	ADJ
iajs-2512	31	7	distribution	distribution	NOUN
iajs-2512	31	8	was	be	AUX
iajs-2512	31	9	widely	widely	ADV
iajs-2512	31	10	used	use	VERB
iajs-2512	31	11	in	in	ADP
iajs-2512	31	12	the	the	DET
iajs-2512	31	13	analytic	analytic	ADJ
iajs-2512	31	14	study	study	NOUN
iajs-2512	31	15	specially	specially	ADV
iajs-2512	31	16	in	in	ADP
iajs-2512	31	17	engineering	engineering	NOUN
iajs-2512	31	18	,	,	PUNCT
iajs-2512	31	19	biology	biology	NOUN
iajs-2512	31	20	and	and	CCONJ
iajs-2512	31	21	medicine	medicine	NOUN
iajs-2512	31	22	fields	field	NOUN
iajs-2512	31	23	oguntunde	oguntunde	PROPN
iajs-2512	31	24	et	et	NOUN
iajs-2512	31	25	el(2017	el(2017	PROPN
iajs-2512	31	26	)	)	PUNCT
iajs-2512	31	27	.	.	PUNCT
iajs-2512	32	1	bayes	bayes	PROPN
iajs-2512	32	2	estimators	estimator	NOUN
iajs-2512	32	3	of	of	ADP
iajs-2512	32	4	the	the	DET
iajs-2512	32	5	parameter	parameter	NOUN
iajs-2512	32	6	and	and	CCONJ
iajs-2512	32	7	reliability	reliability	NOUN
iajs-2512	32	8	function	function	NOUN
iajs-2512	32	9	of	of	ADP
iajs-2512	32	10	the	the	DET
iajs-2512	32	11	ie	ie	X
iajs-2512	32	12	distribution	distribution	NOUN
iajs-2512	32	13	were	be	AUX
iajs-2512	32	14	obtained	obtain	VERB
iajs-2512	32	15	by	by	ADP
iajs-2512	32	16	singh	singh	PROPN
iajs-2512	32	17	et	et	PROPN
iajs-2512	32	18	al(2013	al(2013	PROPN
iajs-2512	32	19	)	)	PUNCT
iajs-2512	32	20	.	.	PUNCT
iajs-2512	33	1	oguntunde	oguntunde	NOUN
iajs-2512	33	2	et	et	PROPN
iajs-2512	33	3	al	al	PROPN
iajs-2512	33	4	.	.	PROPN
iajs-2512	34	1	(	(	PUNCT
iajs-2512	34	2	2014	2014	NUM
iajs-2512	34	3	)	)	PUNCT
iajs-2512	34	4	proposed	propose	VERB
iajs-2512	34	5	exponentiated	exponentiated	PROPN
iajs-2512	34	6	gie	gie	X
iajs-2512	34	7	(	(	PUNCT
iajs-2512	34	8	egie	egie	NOUN
iajs-2512	34	9	)	)	PUNCT
iajs-2512	34	10	distribution	distribution	NOUN
iajs-2512	34	11	.	.	PUNCT
iajs-2512	35	1	singh	singh	PROPN
iajs-2512	35	2	et	et	PROPN
iajs-2512	35	3	al	al	PROPN
iajs-2512	35	4	(	(	PUNCT
iajs-2512	35	5	2015	2015	NUM
iajs-2512	35	6	)	)	PUNCT
iajs-2512	35	7	estimated	estimate	VERB
iajs-2512	35	8	the	the	DET
iajs-2512	35	9	stress	stress	NOUN
iajs-2512	35	10	strength	strength	NOUN
iajs-2512	35	11	reliability	reliability	NOUN
iajs-2512	35	12	parameter	parameter	NOUN
iajs-2512	35	13	of	of	ADP
iajs-2512	35	14	ie	ie	X
iajs-2512	35	15	distribution	distribution	NOUN
iajs-2512	35	16	.	.	PUNCT
iajs-2512	35	17	  	  	SPACE
iajs-2512	36	1	fatima	fatima	PROPN
iajs-2512	36	2	and	and	CCONJ
iajs-2512	36	3	ahmad	ahmad	PROPN
iajs-2512	36	4	(	(	PUNCT
iajs-2512	36	5	2018	2018	NUM
iajs-2512	36	6	)	)	PUNCT
iajs-2512	36	7	used	use	VERB
iajs-2512	36	8	a	a	DET
iajs-2512	36	9	bayesian	bayesian	NOUN
iajs-2512	36	10	approximation	approximation	NOUN
iajs-2512	36	11	techniques	technique	NOUN
iajs-2512	36	12	of	of	ADP
iajs-2512	36	13	inverse	inverse	ADJ
iajs-2512	36	14	exponential	exponential	ADJ
iajs-2512	36	15	distribution	distribution	NOUN
iajs-2512	36	16	with	with	ADP
iajs-2512	36	17	applications	application	NOUN
iajs-2512	36	18	in	in	ADP
iajs-2512	36	19	engineering	engineering	NOUN
iajs-2512	36	20	.	.	PUNCT
iajs-2512	37	1	for	for	ADP
iajs-2512	37	2	cascade	cascade	NOUN
iajs-2512	37	3	model	model	NOUN
iajs-2512	37	4	(	(	PUNCT
iajs-2512	37	5	2	2	NUM
iajs-2512	37	6	+	+	NOUN
iajs-2512	37	7	1	1	NUM
iajs-2512	37	8	)	)	PUNCT
iajs-2512	37	9	,	,	PUNCT
iajs-2512	37	10	assume	assume	VERB
iajs-2512	37	11	that	that	SCONJ
iajs-2512	37	12	𝑋	𝑋	PROPN
iajs-2512	37	13	,	,	PUNCT
iajs-2512	37	14	𝑋	𝑋	PROPN
iajs-2512	37	15	and	and	CCONJ
iajs-2512	37	16	𝑋	𝑋	PROPN
iajs-2512	37	17	are	be	AUX
iajs-2512	37	18	the	the	DET
iajs-2512	37	19	strengths	strength	NOUN
iajs-2512	37	20	with	with	ADP
iajs-2512	37	21	two	two	NUM
iajs-2512	37	22	fundamental	fundamental	ADJ
iajs-2512	37	23	components	component	NOUN
iajs-2512	37	24	and	and	CCONJ
iajs-2512	37	25	one	one	NUM
iajs-2512	37	26	standby	standby	ADJ
iajs-2512	37	27	component	component	NOUN
iajs-2512	37	28	is	be	AUX
iajs-2512	37	29	i.i.d	i.i.d	ADJ
iajs-2512	37	30	with	with	ADP
iajs-2512	37	31	p.d.f	p.d.f	ADJ
iajs-2512	37	32	follows	follow	VERB
iajs-2512	37	33	ied	ied	PROPN
iajs-2512	37	34	𝛼	𝛼	NOUN
iajs-2512	37	35	with	with	ADP
iajs-2512	37	36	scale	scale	NOUN
iajs-2512	37	37	parameter	parameter	NOUN
iajs-2512	37	38	𝛼	𝛼	NOUN
iajs-2512	37	39	;	;	PUNCT
iajs-2512	38	1	𝑖	𝑖	ADP
iajs-2512	38	2	1,2,3	1,2,3	NUM
iajs-2512	38	3	,	,	PUNCT
iajs-2512	38	4	when	when	SCONJ
iajs-2512	38	5	activated	activate	VERB
iajs-2512	38	6	faces	face	VERB
iajs-2512	38	7	the	the	DET
iajs-2512	38	8	stresses	stress	NOUN
iajs-2512	38	9	random	random	ADJ
iajs-2512	38	10	variables	variable	NOUN
iajs-2512	38	11	𝑌	𝑌	PROPN
iajs-2512	38	12	,	,	PUNCT
iajs-2512	38	13	𝑌	𝑌	PROPN
iajs-2512	38	14	and	and	CCONJ
iajs-2512	38	15	𝑌	𝑌	PROPN
iajs-2512	38	16	are	be	AUX
iajs-2512	38	17	imposed	impose	VERB
iajs-2512	38	18	on	on	ADP
iajs-2512	38	19	the	the	DET
iajs-2512	38	20	strengths	strength	NOUN
iajs-2512	38	21	components	component	NOUN
iajs-2512	38	22	and	and	CCONJ
iajs-2512	38	23	followed	follow	VERB
iajs-2512	38	24	ied	ied	PROPN
iajs-2512	38	25	𝛽	𝛽	PROPN
iajs-2512	38	26	with	with	ADP
iajs-2512	38	27	scale	scale	NOUN
iajs-2512	38	28	parameter	parameter	NOUN
iajs-2512	38	29	𝛽	𝛽	PROPN
iajs-2512	38	30	;	;	PUNCT
iajs-2512	38	31	𝑗	𝑗	PROPN
iajs-2512	38	32	1,2,3	1,2,3	NOUN
iajs-2512	38	33	.	.	PUNCT
iajs-2512	39	1	in	in	ADP
iajs-2512	39	2	cascade	cascade	NOUN
iajs-2512	39	3	system	system	NOUN
iajs-2512	39	4	,	,	PUNCT
iajs-2512	39	5	after	after	ADP
iajs-2512	39	6	every	every	DET
iajs-2512	39	7	failure	failure	NOUN
iajs-2512	39	8	the	the	DET
iajs-2512	39	9	stress	stress	NOUN
iajs-2512	39	10	gets	get	AUX
iajs-2512	39	11	modified	modify	VERB
iajs-2512	39	12	by	by	ADP
iajs-2512	39	13	attenuation	attenuation	NOUN
iajs-2512	39	14	factor	factor	NOUN
iajs-2512	39	15	(	(	PUNCT
iajs-2512	39	16	k	k	NOUN
iajs-2512	39	17	)	)	PUNCT
iajs-2512	39	18	such	such	ADJ
iajs-2512	39	19	that	that	SCONJ
iajs-2512	39	20	:	:	PUNCT
iajs-2512	39	21	𝑌	𝑌	PROPN
iajs-2512	39	22	𝑘𝑌	𝑘𝑌	PROPN
iajs-2512	39	23	,	,	PUNCT
iajs-2512	39	24	𝑌	𝑌	PROPN
iajs-2512	39	25	𝑘𝑌	𝑘𝑌	PROPN
iajs-2512	39	26	𝑘	𝑘	PRON
iajs-2512	39	27	𝑌	𝑌	PROPN
iajs-2512	39	28	,	,	PUNCT
iajs-2512	39	29	…	…	PUNCT
iajs-2512	39	30	,	,	PUNCT
iajs-2512	39	31	𝑌	𝑌	PROPN
iajs-2512	39	32	𝑘	𝑘	PROPN
iajs-2512	39	33	𝑌	𝑌	PROPN
iajs-2512	39	34	;	;	PUNCT
iajs-2512	39	35	𝑘	𝑘	DET
iajs-2512	39	36	1	1	NUM
iajs-2512	39	37	  	  	SPACE
iajs-2512	39	38	84	84	NUM
iajs-2512	39	39	  	  	SPACE
iajs-2512	39	40	ibn	ibn	PROPN
iajs-2512	39	41	al	al	PROPN
iajs-2512	39	42	-	-	PUNCT
iajs-2512	39	43	haitham	haitham	PROPN
iajs-2512	39	44	jour	jour	X
iajs-2512	39	45	.	.	PROPN
iajs-2512	39	46	for	for	ADP
iajs-2512	39	47	pure	pure	ADJ
iajs-2512	39	48	&	&	CCONJ
iajs-2512	39	49	appl	appl	PROPN
iajs-2512	39	50	.	.	PUNCT
iajs-2512	40	1	sci	sci	PROPN
iajs-2512	40	2	.	.	PROPN
iajs-2512	41	1	33	33	NUM
iajs-2512	41	2	(	(	PUNCT
iajs-2512	41	3	4	4	NUM
iajs-2512	41	4	)	)	PUNCT
iajs-2512	41	5	2020	2020	NUM
iajs-2512	42	1	and	and	CCONJ
iajs-2512	42	2	we	we	PRON
iajs-2512	42	3	suppose	suppose	VERB
iajs-2512	42	4	a	a	DET
iajs-2512	42	5	factor	factor	NOUN
iajs-2512	42	6	(	(	PUNCT
iajs-2512	42	7	m	m	NOUN
iajs-2512	42	8	)	)	PUNCT
iajs-2512	42	9	to	to	PART
iajs-2512	42	10	modified	modify	VERB
iajs-2512	42	11	the	the	DET
iajs-2512	42	12	strength	strength	NOUN
iajs-2512	42	13	such	such	ADJ
iajs-2512	42	14	that	that	SCONJ
iajs-2512	42	15	:	:	PUNCT
iajs-2512	42	16	𝑋	𝑋	PROPN
iajs-2512	42	17	𝑚𝑋	𝑚𝑋	PROPN
iajs-2512	42	18	,	,	PUNCT
iajs-2512	42	19	𝑋	𝑋	PROPN
iajs-2512	42	20	𝑚𝑋	𝑚𝑋	PROPN
iajs-2512	42	21	𝑚	𝑚	ADP
iajs-2512	42	22	𝑋	𝑋	PROPN
iajs-2512	42	23	,	,	PUNCT
iajs-2512	42	24	…	…	PUNCT
iajs-2512	42	25	,	,	PUNCT
iajs-2512	42	26	𝑋	𝑋	PROPN
iajs-2512	42	27	𝑚	𝑚	ADP
iajs-2512	42	28	𝑋	𝑋	PROPN
iajs-2512	42	29	;	;	PUNCT
iajs-2512	42	30	m	m	VERB
iajs-2512	42	31	0	0	NUM
iajs-2512	42	32	the	the	DET
iajs-2512	42	33	real	real	ADJ
iajs-2512	42	34	reliability	reliability	NOUN
iajs-2512	42	35	function	function	NOUN
iajs-2512	42	36	for	for	ADP
iajs-2512	42	37	the	the	DET
iajs-2512	42	38	(	(	PUNCT
iajs-2512	42	39	2	2	NUM
iajs-2512	42	40	+	+	NOUN
iajs-2512	42	41	1	1	NUM
iajs-2512	42	42	)	)	PUNCT
iajs-2512	42	43	cascade	cascade	NOUN
iajs-2512	42	44	model	model	NOUN
iajs-2512	42	45	is	be	AUX
iajs-2512	42	46	given	give	VERB
iajs-2512	42	47	by	by	ADP
iajs-2512	42	48	:	:	PUNCT
iajs-2512	42	49	𝑅	𝑅	PROPN
iajs-2512	42	50	𝑝	𝑝	PROPN
iajs-2512	42	51	𝑋	𝑋	PROPN
iajs-2512	42	52	𝑌	𝑌	PROPN
iajs-2512	42	53	,	,	PUNCT
iajs-2512	42	54	𝑋	𝑋	PROPN
iajs-2512	42	55	𝑌	𝑌	PROPN
iajs-2512	42	56	𝑝	𝑝	PROPN
iajs-2512	42	57	𝑋	𝑋	PROPN
iajs-2512	42	58	𝑌	𝑌	PROPN
iajs-2512	42	59	,	,	PUNCT
iajs-2512	42	60	𝑋	𝑋	PROPN
iajs-2512	42	61	𝑌	𝑌	PROPN
iajs-2512	42	62	,	,	PUNCT
iajs-2512	42	63	𝑋	𝑋	PROPN
iajs-2512	42	64	𝑌	𝑌	PROPN
iajs-2512	42	65	𝑝	𝑝	PROPN
iajs-2512	42	66	𝑋	𝑋	PROPN
iajs-2512	42	67	𝑌	𝑌	PROPN
iajs-2512	42	68	,	,	PUNCT
iajs-2512	42	69	𝑋	𝑋	PROPN
iajs-2512	42	70	𝑌	𝑌	PROPN
iajs-2512	42	71	,	,	PUNCT
iajs-2512	42	72	𝑋	𝑋	PROPN
iajs-2512	42	73	𝑌	𝑌	PROPN
iajs-2512	42	74	(	(	PUNCT
iajs-2512	42	75	4	4	NUM
iajs-2512	42	76	)	)	PUNCT
iajs-2512	42	77	𝑅	𝑅	PROPN
iajs-2512	42	78	𝑅	𝑅	PROPN
iajs-2512	42	79	𝑅	𝑅	PROPN
iajs-2512	42	80	𝑅	𝑅	PROPN
iajs-2512	42	81	(	(	PUNCT
iajs-2512	42	82	5	5	NUM
iajs-2512	42	83	)	)	PUNCT
iajs-2512	42	84	𝑅	𝑅	PROPN
iajs-2512	42	85	𝑝	𝑝	PROPN
iajs-2512	42	86	𝑋	𝑋	PROPN
iajs-2512	42	87	𝑌	𝑌	PROPN
iajs-2512	42	88	,	,	PUNCT
iajs-2512	42	89	𝑋	𝑋	PROPN
iajs-2512	42	90	𝑌	𝑌	PROPN
iajs-2512	42	91	(	(	PUNCT
iajs-2512	42	92	6	6	NUM
iajs-2512	42	93	)	)	PUNCT
iajs-2512	42	94	𝐹	𝐹	PROPN
iajs-2512	43	1	𝑦	𝑦	X
iajs-2512	43	2	𝑔	𝑔	X
iajs-2512	43	3	𝑦	𝑦	PROPN
iajs-2512	43	4	𝑑𝑦	𝑑𝑦	NOUN
iajs-2512	43	5	𝐹	𝐹	PROPN
iajs-2512	43	6	𝑦	𝑦	PROPN
iajs-2512	43	7	𝑔	𝑔	PROPN
iajs-2512	43	8	𝑦	𝑦	NOUN
iajs-2512	43	9	𝑑𝑦	𝑑𝑦	ADJ
iajs-2512	43	10	1	1	NUM
iajs-2512	43	11	𝑒𝑥𝑝	𝑒𝑥𝑝	INTJ
iajs-2512	43	12	𝛼	𝛼	X
iajs-2512	43	13	𝑦	𝑦	PROPN
iajs-2512	43	14	𝛽	𝛽	NOUN
iajs-2512	43	15	𝑦	𝑦	ADJ
iajs-2512	43	16	𝑒𝑥𝑝	𝑒𝑥𝑝	INTJ
iajs-2512	43	17	𝛽	𝛽	PROPN
iajs-2512	43	18	𝑦	𝑦	NOUN
iajs-2512	43	19	𝑑𝑦	𝑑𝑦	ADJ
iajs-2512	43	20	1	1	NUM
iajs-2512	43	21	𝑒𝑥𝑝	𝑒𝑥𝑝	INTJ
iajs-2512	43	22	𝛼	𝛼	X
iajs-2512	43	23	𝑦	𝑦	PROPN
iajs-2512	43	24	𝛽	𝛽	NOUN
iajs-2512	43	25	𝑦	𝑦	ADJ
iajs-2512	43	26	𝑒𝑥𝑝	𝑒𝑥𝑝	INTJ
iajs-2512	43	27	𝛽	𝛽	PROPN
iajs-2512	43	28	𝑦	𝑦	NOUN
iajs-2512	43	29	𝑑𝑦	𝑑𝑦	NOUN
iajs-2512	44	1	so	so	ADV
iajs-2512	44	2	we	we	PRON
iajs-2512	44	3	get	get	VERB
iajs-2512	44	4	𝑅	𝑅	PROPN
iajs-2512	44	5	(	(	PUNCT
iajs-2512	44	6	7	7	NUM
iajs-2512	44	7	)	)	PUNCT
iajs-2512	44	8	𝑅	𝑅	PROPN
iajs-2512	44	9	𝑝	𝑝	PROPN
iajs-2512	44	10	𝑋	𝑋	PROPN
iajs-2512	44	11	𝑌	𝑌	PROPN
iajs-2512	44	12	,	,	PUNCT
iajs-2512	44	13	𝑋	𝑋	PROPN
iajs-2512	44	14	𝑌	𝑌	PROPN
iajs-2512	44	15	,	,	PUNCT
iajs-2512	44	16	𝑋	𝑋	PROPN
iajs-2512	44	17	𝑌	𝑌	PROPN
iajs-2512	44	18	(	(	PUNCT
iajs-2512	44	19	8)	8)	PROPN
iajs-2512	44	20	𝑝	𝑝	NOUN
iajs-2512	44	21	𝑋1	𝑋1	NOUN
iajs-2512	44	22	𝑌1	𝑌1	PROPN
iajs-2512	44	23	,	,	PUNCT
iajs-2512	44	24	𝑚𝑋1	𝑚𝑋1	VERB
iajs-2512	44	25	𝑘𝑌1	𝑘𝑌1	PROPN
iajs-2512	44	26	𝑝	𝑝	PROPN
iajs-2512	44	27	𝑋	𝑋	PROPN
iajs-2512	44	28	𝑌	𝑌	PROPN
iajs-2512	44	29	𝑝	𝑝	PROPN
iajs-2512	44	30	𝑋	𝑋	PROPN
iajs-2512	44	31	𝑌	𝑌	PROPN
iajs-2512	44	32	where	where	SCONJ
iajs-2512	44	33	𝑝	𝑝	ADP
iajs-2512	44	34	𝑋	𝑋	PROPN
iajs-2512	44	35	𝑌	𝑌	PROPN
iajs-2512	44	36	,	,	PUNCT
iajs-2512	44	37	𝑚𝑋	𝑚𝑋	PROPN
iajs-2512	44	38	𝑘𝑌	𝑘𝑌	PROPN
iajs-2512	44	39	𝐹	𝐹	PROPN
iajs-2512	44	40	𝑦	𝑦	NOUN
iajs-2512	44	41	𝐹	𝐹	PROPN
iajs-2512	44	42	𝑦	𝑦	PROPN
iajs-2512	44	43	𝑔	𝑔	PROPN
iajs-2512	44	44	𝑦	𝑦	PROPN
iajs-2512	44	45	𝑑𝑦	𝑑𝑦	NOUN
iajs-2512	44	46	(	(	PUNCT
iajs-2512	44	47	9	9	NUM
iajs-2512	44	48	)	)	PUNCT
iajs-2512	44	49	𝑒𝑥𝑝	𝑒𝑥𝑝	ADV
iajs-2512	44	50	1	1	NUM
iajs-2512	45	1	𝑒𝑥𝑝	𝑒𝑥𝑝	INTJ
iajs-2512	45	2	𝑒𝑥𝑝	𝑒𝑥𝑝	INTJ
iajs-2512	45	3	then	then	ADV
iajs-2512	45	4	𝑝	𝑝	VERB
iajs-2512	45	5	𝑋	𝑋	PROPN
iajs-2512	45	6	𝑌	𝑌	PROPN
iajs-2512	45	7	,	,	PUNCT
iajs-2512	45	8	𝑚𝑋	𝑚𝑋	PROPN
iajs-2512	45	9	𝑘𝑌	𝑘𝑌	PROPN
iajs-2512	45	10	(	(	PUNCT
iajs-2512	45	11	10	10	NUM
iajs-2512	45	12	)	)	PUNCT
iajs-2512	45	13	and	and	CCONJ
iajs-2512	45	14	𝑝	𝑝	ADP
iajs-2512	45	15	𝑋	𝑋	PROPN
iajs-2512	45	16	𝑌	𝑌	PROPN
iajs-2512	45	17	𝐹	𝐹	PROPN
iajs-2512	46	1	𝑦	𝑦	PRON
iajs-2512	46	2	𝑔	𝑔	PROPN
iajs-2512	46	3	𝑦	𝑦	PROPN
iajs-2512	46	4	𝑑𝑦	𝑑𝑦	NOUN
iajs-2512	46	5	(	(	PUNCT
iajs-2512	46	6	11	11	NUM
iajs-2512	46	7	)	)	PUNCT
iajs-2512	46	8	so	so	ADV
iajs-2512	46	9	𝑅	𝑅	PROPN
iajs-2512	46	10	(	(	PUNCT
iajs-2512	46	11	12	12	NUM
iajs-2512	46	12	)	)	PUNCT
iajs-2512	46	13	by	by	ADP
iajs-2512	46	14	the	the	DET
iajs-2512	46	15	same	same	ADJ
iajs-2512	46	16	way	way	NOUN
iajs-2512	46	17	finding	find	VERB
iajs-2512	46	18	r	r	NOUN
iajs-2512	46	19	r	r	NOUN
iajs-2512	46	20	𝑝	𝑝	NOUN
iajs-2512	46	21	𝑋	𝑋	PROPN
iajs-2512	46	22	𝑌	𝑌	PROPN
iajs-2512	46	23	,	,	PUNCT
iajs-2512	46	24	𝑋	𝑋	PROPN
iajs-2512	46	25	𝑌	𝑌	PROPN
iajs-2512	46	26	,	,	PUNCT
iajs-2512	46	27	𝑋	𝑋	PROPN
iajs-2512	46	28	𝑌	𝑌	PROPN
iajs-2512	46	29	(	(	PUNCT
iajs-2512	46	30	13	13	NUM
iajs-2512	46	31	)	)	PUNCT
iajs-2512	46	32	(	(	PUNCT
iajs-2512	46	33	14	14	NUM
iajs-2512	46	34	)	)	PUNCT
iajs-2512	46	35	substitution	substitution	NOUN
iajs-2512	46	36	(	(	PUNCT
iajs-2512	46	37	6	6	NUM
iajs-2512	46	38	)	)	PUNCT
iajs-2512	46	39	,	,	PUNCT
iajs-2512	46	40	(	(	PUNCT
iajs-2512	46	41	11	11	NUM
iajs-2512	46	42	)	)	PUNCT
iajs-2512	46	43	and	and	CCONJ
iajs-2512	46	44	(	(	PUNCT
iajs-2512	46	45	13	13	NUM
iajs-2512	46	46	)	)	PUNCT
iajs-2512	46	47	in	in	ADP
iajs-2512	46	48	(	(	PUNCT
iajs-2512	46	49	4	4	X
iajs-2512	46	50	)	)	PUNCT
iajs-2512	46	51	𝑅	𝑅	PROPN
iajs-2512	46	52	𝛼	𝛼	NOUN
iajs-2512	46	53	𝛼	𝛼	NOUN
iajs-2512	46	54	𝛽	𝛽	NOUN
iajs-2512	46	55	𝛼	𝛼	X
iajs-2512	46	56	𝛼	𝛼	NOUN
iajs-2512	46	57	𝛽	𝛽	NOUN
iajs-2512	46	58	𝑘	𝑘	PRON
iajs-2512	46	59	𝑚	𝑚	NOUN
iajs-2512	46	60	𝛼	𝛼	X
iajs-2512	46	61	𝛽	𝛽	NOUN
iajs-2512	46	62	𝑘	𝑘	PRON
iajs-2512	46	63	𝑚	𝑚	NOUN
iajs-2512	46	64	𝛼	𝛼	PART
iajs-2512	46	65	𝛽	𝛽	NOUN
iajs-2512	46	66	𝛼	𝛼	X
iajs-2512	46	67	𝑘	𝑘	NOUN
iajs-2512	46	68	𝑚	𝑚	NOUN
iajs-2512	46	69	𝛼	𝛼	PART
iajs-2512	46	70	𝛽	𝛽	NOUN
iajs-2512	46	71	𝛼	𝛼	X
iajs-2512	46	72	𝛼	𝛼	PROPN
iajs-2512	46	73	𝛽	𝛽	PROPN
iajs-2512	46	74	(	(	PUNCT
iajs-2512	46	75	15	15	NUM
iajs-2512	46	76	)	)	PUNCT
iajs-2512	46	77	  	  	SPACE
iajs-2512	46	78	85	85	NUM
iajs-2512	46	79	  	  	SPACE
iajs-2512	46	80	ibn	ibn	PROPN
iajs-2512	46	81	al	al	PROPN
iajs-2512	46	82	-	-	PUNCT
iajs-2512	46	83	haitham	haitham	PROPN
iajs-2512	46	84	jour	jour	X
iajs-2512	46	85	.	.	PROPN
iajs-2512	47	1	for	for	ADP
iajs-2512	47	2	pure	pure	ADJ
iajs-2512	47	3	&	&	CCONJ
iajs-2512	47	4	appl	appl	PROPN
iajs-2512	47	5	.	.	PUNCT
iajs-2512	48	1	sci	sci	PROPN
iajs-2512	48	2	.	.	PROPN
iajs-2512	49	1	33	33	NUM
iajs-2512	49	2	(	(	PUNCT
iajs-2512	49	3	4	4	NUM
iajs-2512	49	4	)	)	PUNCT
iajs-2512	49	5	2020	2020	NUM
iajs-2512	50	1	3	3	NUM
iajs-2512	50	2	.	.	PUNCT
iajs-2512	50	3	maximum	maximum	ADJ
iajs-2512	50	4	likelihood	likelihood	NOUN
iajs-2512	50	5	estimation	estimation	NOUN
iajs-2512	50	6	(	(	PUNCT
iajs-2512	50	7	mle	mle	PROPN
iajs-2512	50	8	)	)	PUNCT
iajs-2512	50	9	the	the	DET
iajs-2512	50	10	maximum	maximum	ADJ
iajs-2512	50	11	likelihood	likelihood	NOUN
iajs-2512	50	12	method	method	NOUN
iajs-2512	50	13	is	be	AUX
iajs-2512	50	14	an	an	DET
iajs-2512	50	15	important	important	ADJ
iajs-2512	50	16	and	and	CCONJ
iajs-2512	50	17	commonly	commonly	ADV
iajs-2512	50	18	,	,	PUNCT
iajs-2512	50	19	since	since	SCONJ
iajs-2512	50	20	it	it	PRON
iajs-2512	50	21	contained	contain	VERB
iajs-2512	50	22	properties	property	NOUN
iajs-2512	50	23	for	for	ADP
iajs-2512	50	24	good	good	ADJ
iajs-2512	50	25	estimate	estimate	NOUN
iajs-2512	50	26	.	.	PUNCT
iajs-2512	51	1	suppose𝑋	suppose𝑋	NOUN
iajs-2512	51	2	;	;	PUNCT
iajs-2512	51	3	𝑖	𝑖	SYM
iajs-2512	51	4	1,2,3	1,2,3	NUM
iajs-2512	51	5	strength	strength	NOUN
iajs-2512	51	6	random	random	ADJ
iajs-2512	51	7	sample	sample	NOUN
iajs-2512	51	8	follows	follow	VERB
iajs-2512	51	9	ied	ied	PROPN
iajs-2512	51	10	𝛼	𝛼	PROPN
iajs-2512	51	11	with	with	ADP
iajs-2512	51	12	the	the	DET
iajs-2512	51	13	sample	sample	NOUN
iajs-2512	51	14	size	size	NOUN
iajs-2512	51	15	𝑛.the	𝑛.the	DET
iajs-2512	51	16	likelihood	likelihood	NOUN
iajs-2512	51	17	function	function	NOUN
iajs-2512	51	18	is	be	AUX
iajs-2512	51	19	given	give	VERB
iajs-2512	51	20	by	by	ADP
iajs-2512	51	21	;	;	PUNCT
iajs-2512	51	22	𝑙	𝑙	X
iajs-2512	51	23	𝐿(𝑥	𝐿(𝑥	PUNCT
iajs-2512	51	24	,	,	PUNCT
iajs-2512	51	25	𝑥	𝑥	X
iajs-2512	51	26	,	,	PUNCT
iajs-2512	51	27	…	…	PUNCT
iajs-2512	51	28	,	,	PUNCT
iajs-2512	51	29	𝑥	𝑥	X
iajs-2512	51	30	;	;	PUNCT
iajs-2512	51	31	α	α	X
iajs-2512	51	32	)	)	PUNCT
iajs-2512	51	33	∏	∏	PROPN
iajs-2512	51	34	𝑓	𝑓	DET
iajs-2512	51	35	𝑥	𝑥	X
iajs-2512	51	36	∏	∏	NUM
iajs-2512	51	37	𝑒𝑥𝑝	𝑒𝑥𝑝	INTJ
iajs-2512	51	38	𝛼	𝛼	PRON
iajs-2512	51	39	∏	∏	PROPN
iajs-2512	51	40	𝑒𝑥𝑝	𝑒𝑥𝑝	INTJ
iajs-2512	51	41	∑	∑	PROPN
iajs-2512	51	42	(	(	PUNCT
iajs-2512	51	43	16	16	NUM
iajs-2512	51	44	)	)	PUNCT
iajs-2512	51	45	taking	take	VERB
iajs-2512	51	46	logarithm	logarithm	NOUN
iajs-2512	51	47	of	of	ADP
iajs-2512	51	48	(	(	PUNCT
iajs-2512	51	49	16	16	NUM
iajs-2512	51	50	)	)	PUNCT
iajs-2512	51	51	and	and	CCONJ
iajs-2512	51	52	then	then	ADV
iajs-2512	51	53	differentiating	differentiate	VERB
iajs-2512	51	54	the	the	DET
iajs-2512	51	55	result	result	NOUN
iajs-2512	51	56	partially	partially	ADV
iajs-2512	51	57	with	with	ADP
iajs-2512	51	58	respect	respect	NOUN
iajs-2512	51	59	to	to	ADP
iajs-2512	51	60	𝛼	𝛼	VERB
iajs-2512	51	61	:	:	PUNCT
iajs-2512	51	62	∑	∑	PROPN
iajs-2512	51	63	(	(	PUNCT
iajs-2512	51	64	17	17	NUM
iajs-2512	51	65	)	)	PUNCT
iajs-2512	51	66	equalizing	equalizing	NOUN
iajs-2512	51	67	(	(	PUNCT
iajs-2512	51	68	17	17	NUM
iajs-2512	51	69	)	)	PUNCT
iajs-2512	51	70	to	to	ADP
iajs-2512	51	71	zero	zero	NUM
iajs-2512	51	72	to	to	PART
iajs-2512	51	73	get	get	VERB
iajs-2512	51	74	the	the	DET
iajs-2512	51	75	estimated	estimate	VERB
iajs-2512	51	76	scale	scale	NOUN
iajs-2512	51	77	parameter	parameter	NOUN
iajs-2512	51	78	of	of	ADP
iajs-2512	51	79	ied	ied	PROPN
iajs-2512	51	80	𝛼	𝛼	PROPN
iajs-2512	51	81	∑	∑	PROPN
iajs-2512	51	82	(	(	PUNCT
iajs-2512	51	83	18	18	NUM
iajs-2512	51	84	)	)	PUNCT
iajs-2512	51	85	hence	hence	ADV
iajs-2512	51	86	,	,	PUNCT
iajs-2512	51	87	for	for	ADP
iajs-2512	51	88	strength	strength	NOUN
iajs-2512	51	89	random	random	ADJ
iajs-2512	51	90	samples	sample	NOUN
iajs-2512	51	91	,	,	PUNCT
iajs-2512	51	92	𝑋	𝑋	PROPN
iajs-2512	51	93	~𝐼𝐸	~𝐼𝐸	PROPN
iajs-2512	51	94	𝛼	𝛼	SYM
iajs-2512	51	95	;	;	PUNCT
iajs-2512	51	96	𝑖	𝑖	X
iajs-2512	51	97	1,2	1,2	NUM
iajs-2512	51	98	,	,	PUNCT
iajs-2512	51	99	…	…	PUNCT
iajs-2512	51	100	,	,	PUNCT
iajs-2512	51	101	𝑛	𝑛	NOUN
iajs-2512	51	102	,	,	PUNCT
iajs-2512	51	103	𝑋	𝑋	PROPN
iajs-2512	51	104	~𝐼𝐸	~𝐼𝐸	PROPN
iajs-2512	51	105	𝛼	𝛼	SYM
iajs-2512	51	106	;	;	PUNCT
iajs-2512	51	107	𝑖	𝑖	X
iajs-2512	51	108	1,2	1,2	NUM
iajs-2512	51	109	,	,	PUNCT
iajs-2512	51	110	…	…	PUNCT
iajs-2512	51	111	,	,	PUNCT
iajs-2512	51	112	𝑛	𝑛	PROPN
iajs-2512	51	113	and	and	CCONJ
iajs-2512	51	114	𝑋	𝑋	PROPN
iajs-2512	51	115	~𝐼𝐸	~𝐼𝐸	PROPN
iajs-2512	51	116	𝛼	𝛼	NOUN
iajs-2512	51	117	;	;	PUNCT
iajs-2512	51	118	𝑖	𝑖	X
iajs-2512	51	119	1,2	1,2	NUM
iajs-2512	51	120	,	,	PUNCT
iajs-2512	51	121	…	…	PUNCT
iajs-2512	51	122	,	,	PUNCT
iajs-2512	51	123	𝑛	𝑛	X
iajs-2512	51	124	with	with	ADP
iajs-2512	51	125	samples	sample	NOUN
iajs-2512	51	126	size	size	NOUN
iajs-2512	51	127	𝑛	𝑛	PROPN
iajs-2512	51	128	,	,	PUNCT
iajs-2512	51	129	𝑛	𝑛	PROPN
iajs-2512	51	130	and	and	CCONJ
iajs-2512	51	131	𝑛	𝑛	PRON
iajs-2512	51	132	respectively	respectively	ADV
iajs-2512	51	133	mle	mle	NOUN
iajs-2512	51	134	for	for	ADP
iajs-2512	51	135	unknown	unknown	ADJ
iajs-2512	51	136	parameters	parameter	NOUN
iajs-2512	51	137	𝛼	𝛼	VERB
iajs-2512	51	138	,	,	PUNCT
iajs-2512	51	139	𝛼	𝛼	PRON
iajs-2512	51	140	and	and	CCONJ
iajs-2512	51	141	𝛼	𝛼	X
iajs-2512	51	142	is	be	AUX
iajs-2512	51	143	:	:	PUNCT
iajs-2512	51	144	𝛼	𝛼	ADJ
iajs-2512	51	145	;	;	PUNCT
iajs-2512	51	146	𝑇	𝑇	PROPN
iajs-2512	51	147	∑	∑	PROPN
iajs-2512	51	148	;	;	PUNCT
iajs-2512	52	1	𝛬	𝛬	PROPN
iajs-2512	52	2	1,2,3	1,2,3	NUM
iajs-2512	52	3	(	(	PUNCT
iajs-2512	52	4	19	19	NUM
iajs-2512	52	5	)	)	PUNCT
iajs-2512	52	6	by	by	ADP
iajs-2512	52	7	the	the	DET
iajs-2512	52	8	same	same	ADJ
iajs-2512	52	9	way	way	NOUN
iajs-2512	52	10	for	for	ADP
iajs-2512	52	11	the	the	DET
iajs-2512	52	12	stress	stress	NOUN
iajs-2512	52	13	random	random	ADJ
iajs-2512	52	14	variables𝑌	variables𝑌	PROPN
iajs-2512	52	15	~𝐼𝐸	~𝐼𝐸	PUNCT
iajs-2512	52	16	𝛽	𝛽	NOUN
iajs-2512	52	17	;	;	PUNCT
iajs-2512	52	18	𝑗	𝑗	PROPN
iajs-2512	52	19	1,2	1,2	NUM
iajs-2512	52	20	,	,	PUNCT
iajs-2512	52	21	…	…	PUNCT
iajs-2512	52	22	,	,	PUNCT
iajs-2512	52	23	𝑚	𝑚	X
iajs-2512	52	24	,	,	PUNCT
iajs-2512	52	25	𝑌	𝑌	PROPN
iajs-2512	52	26	~𝐼𝐸	~𝐼𝐸	PROPN
iajs-2512	52	27	𝛽	𝛽	NOUN
iajs-2512	52	28	;	;	PUNCT
iajs-2512	52	29	𝑗	𝑗	PROPN
iajs-2512	52	30	1,2	1,2	NUM
iajs-2512	52	31	,	,	PUNCT
iajs-2512	52	32	…	…	PUNCT
iajs-2512	52	33	,	,	PUNCT
iajs-2512	52	34	𝑚	𝑚	PROPN
iajs-2512	52	35	and	and	CCONJ
iajs-2512	52	36	𝑌	𝑌	PROPN
iajs-2512	52	37	~𝐼𝐸	~𝐼𝐸	PROPN
iajs-2512	52	38	𝛽	𝛽	NOUN
iajs-2512	52	39	;	;	PUNCT
iajs-2512	52	40	𝑗	𝑗	PROPN
iajs-2512	52	41	1,2	1,2	NUM
iajs-2512	52	42	,	,	PUNCT
iajs-2512	52	43	…	…	PUNCT
iajs-2512	52	44	,	,	PUNCT
iajs-2512	52	45	𝑚	𝑚	X
iajs-2512	52	46	with	with	ADP
iajs-2512	52	47	samples	sample	NOUN
iajs-2512	52	48	size	size	NOUN
iajs-2512	52	49	𝑚	𝑚	PROPN
iajs-2512	52	50	,	,	PUNCT
iajs-2512	52	51	𝑚	𝑚	PROPN
iajs-2512	52	52	and	and	CCONJ
iajs-2512	52	53	𝑚	𝑚	ADP
iajs-2512	52	54	respectively	respectively	ADV
iajs-2512	52	55	,	,	PUNCT
iajs-2512	52	56	the	the	DET
iajs-2512	52	57	mle	mle	PROPN
iajs-2512	52	58	estimator	estimator	NOUN
iajs-2512	52	59	for	for	ADP
iajs-2512	52	60	unknown	unknown	ADJ
iajs-2512	52	61	parameters	parameter	NOUN
iajs-2512	52	62	𝛽	𝛽	PROPN
iajs-2512	52	63	,	,	PUNCT
iajs-2512	52	64	𝛽	𝛽	PROPN
iajs-2512	52	65	and	and	CCONJ
iajs-2512	52	66	𝛽	𝛽	NOUN
iajs-2512	52	67	will	will	AUX
iajs-2512	52	68	be	be	AUX
iajs-2512	52	69	as	as	SCONJ
iajs-2512	52	70	follows	follow	VERB
iajs-2512	52	71	:	:	PUNCT
iajs-2512	52	72	𝛽	𝛽	NOUN
iajs-2512	52	73	;	;	PUNCT
iajs-2512	52	74	𝐻	𝐻	PROPN
iajs-2512	52	75	∑	∑	PUNCT
iajs-2512	52	76	,	,	PUNCT
iajs-2512	52	77	𝛬	𝛬	PROPN
iajs-2512	52	78	1,2,3	1,2,3	NUM
iajs-2512	52	79	(	(	PUNCT
iajs-2512	52	80	20	20	NUM
iajs-2512	52	81	)	)	PUNCT
iajs-2512	52	82	substitution	substitution	NOUN
iajs-2512	52	83	(	(	PUNCT
iajs-2512	52	84	19	19	NUM
iajs-2512	52	85	)	)	PUNCT
iajs-2512	52	86	and	and	CCONJ
iajs-2512	52	87	(	(	PUNCT
iajs-2512	52	88	20	20	NUM
iajs-2512	52	89	)	)	PUNCT
iajs-2512	52	90	in	in	ADP
iajs-2512	52	91	(	(	PUNCT
iajs-2512	52	92	15	15	NUM
iajs-2512	52	93	)	)	PUNCT
iajs-2512	52	94	the	the	DET
iajs-2512	52	95	mle	mle	NOUN
iajs-2512	52	96	for	for	ADP
iajs-2512	52	97	cascade	cascade	NOUN
iajs-2512	52	98	reliability	reliability	NOUN
iajs-2512	52	99	,	,	PUNCT
iajs-2512	52	100	invariability	invariability	NOUN
iajs-2512	52	101	will	will	AUX
iajs-2512	52	102	be	be	AUX
iajs-2512	52	103	as	as	ADP
iajs-2512	52	104	:	:	PUNCT
iajs-2512	52	105	𝑅	𝑅	PROPN
iajs-2512	52	106	(	(	PUNCT
iajs-2512	52	107	21	21	NUM
iajs-2512	52	108	)	)	PUNCT
iajs-2512	52	109	4	4	NUM
iajs-2512	52	110	.	.	X
iajs-2512	52	111	uniformly	uniformly	ADV
iajs-2512	52	112	minimum	minimum	ADJ
iajs-2512	52	113	variance	variance	NOUN
iajs-2512	52	114	unbiased	unbiased	ADJ
iajs-2512	52	115	estimators	estimator	NOUN
iajs-2512	52	116	the	the	DET
iajs-2512	52	117	umvue	umvue	ADJ
iajs-2512	52	118	method	method	NOUN
iajs-2512	52	119	depends	depend	VERB
iajs-2512	52	120	on	on	ADP
iajs-2512	52	121	minimizing	minimize	VERB
iajs-2512	52	122	the	the	DET
iajs-2512	52	123	mean	mean	ADJ
iajs-2512	52	124	square	square	ADJ
iajs-2512	52	125	error	error	NOUN
iajs-2512	52	126	among	among	ADP
iajs-2512	52	127	unbiased	unbiased	ADJ
iajs-2512	52	128	estimators	estimator	NOUN
iajs-2512	52	129	.	.	PUNCT
iajs-2512	53	1	the	the	DET
iajs-2512	53	2	unbiased	unbiased	ADJ
iajs-2512	53	3	estimator	estimator	NOUN
iajs-2512	53	4	𝛼	𝛼	PROPN
iajs-2512	53	5	of	of	ADP
iajs-2512	53	6	𝛼	𝛼	PROPN
iajs-2512	53	7	is	be	AUX
iajs-2512	53	8	called	call	VERB
iajs-2512	53	9	(	(	PUNCT
iajs-2512	53	10	umvue	umvue	ADJ
iajs-2512	53	11	)	)	PUNCT
iajs-2512	53	12	if	if	SCONJ
iajs-2512	54	1	and	and	CCONJ
iajs-2512	54	2	only	only	ADV
iajs-2512	54	3	if	if	SCONJ
iajs-2512	54	4	var	var	NOUN
iajs-2512	54	5	(	(	PUNCT
iajs-2512	54	6	𝛼	𝛼	NOUN
iajs-2512	54	7	)	)	PUNCT
iajs-2512	54	8	≤	≤	PROPN
iajs-2512	54	9	var(𝛼	var(𝛼	PROPN
iajs-2512	54	10	)	)	PUNCT
iajs-2512	54	11	for	for	ADP
iajs-2512	54	12	any	any	DET
iajs-2512	54	13	𝑥	𝑥	PRON
iajs-2512	54	14	∈	∈	PROPN
iajs-2512	54	15	𝑋	𝑋	NOUN
iajs-2512	54	16	and	and	CCONJ
iajs-2512	54	17	any	any	DET
iajs-2512	54	18	other	other	ADJ
iajs-2512	54	19	unbiased	unbiased	ADJ
iajs-2512	54	20	estimator	estimator	NOUN
iajs-2512	54	21	of	of	ADP
iajs-2512	54	22	α	α	PROPN
iajs-2512	54	23	,	,	PUNCT
iajs-2512	54	24	see	see	VERB
iajs-2512	54	25	devor	devor	NOUN
iajs-2512	54	26	and	and	CCONJ
iajs-2512	54	27	berk	berk	PROPN
iajs-2512	54	28	(	(	PUNCT
iajs-2512	54	29	2012	2012	NUM
iajs-2512	54	30	)	)	PUNCT
iajs-2512	54	31	.	.	PUNCT
iajs-2512	55	1	we	we	PRON
iajs-2512	55	2	could	could	AUX
iajs-2512	55	3	find	find	VERB
iajs-2512	55	4	the	the	DET
iajs-2512	55	5	umvu	umvu	NOUN
iajs-2512	55	6	of	of	ADP
iajs-2512	55	7	the	the	DET
iajs-2512	55	8	scale	scale	NOUN
iajs-2512	55	9	parameters	parameter	NOUN
iajs-2512	55	10	𝛼	𝛼	NOUN
iajs-2512	55	11	,	,	PUNCT
iajs-2512	55	12	𝑎𝑛𝑑	𝑎𝑛𝑑	PROPN
iajs-2512	55	13	𝛽	𝛽	NOUN
iajs-2512	55	14	;	;	PUNCT
iajs-2512	55	15	𝛬	𝛬	X
iajs-2512	55	16	=	=	NOUN
iajs-2512	55	17	1,2,3	1,2,3	NUM
iajs-2512	55	18	of	of	ADP
iajs-2512	55	19	the	the	DET
iajs-2512	55	20	stress	stress	NOUN
iajs-2512	55	21	𝑋	𝑋	NOUN
iajs-2512	55	22	;	;	PUNCT
iajs-2512	55	23	𝑖	𝑖	PROPN
iajs-2512	55	24	1,2	1,2	NUM
iajs-2512	55	25	,	,	PUNCT
iajs-2512	55	26	…	…	PUNCT
iajs-2512	55	27	,	,	PUNCT
iajs-2512	55	28	𝑛	𝑛	NOUN
iajs-2512	55	29	and	and	CCONJ
iajs-2512	55	30	strength	strength	NOUN
iajs-2512	55	31	𝑌	𝑌	PROPN
iajs-2512	55	32	𝑗	𝑗	PROPN
iajs-2512	55	33	1,2	1,2	NUM
iajs-2512	55	34	,	,	PUNCT
iajs-2512	55	35	…	…	PUNCT
iajs-2512	55	36	,	,	PUNCT
iajs-2512	55	37	𝑚	𝑚	X
iajs-2512	55	38	;	;	PUNCT
iajs-2512	55	39	of	of	ADP
iajs-2512	55	40	cascade	cascade	NOUN
iajs-2512	55	41	reliability	reliability	NOUN
iajs-2512	55	42	model	model	NOUN
iajs-2512	55	43	with	with	ADP
iajs-2512	55	44	ied	ied	PROPN
iajs-2512	55	45	that	that	PRON
iajs-2512	55	46	belongs	belong	VERB
iajs-2512	55	47	to	to	ADP
iajs-2512	55	48	exponential	exponential	ADJ
iajs-2512	55	49	family	family	NOUN
iajs-2512	55	50	densities	density	NOUN
iajs-2512	55	51	function	function	VERB
iajs-2512	55	52	as	as	SCONJ
iajs-2512	55	53	it	it	PRON
iajs-2512	55	54	shown	show	VERB
iajs-2512	55	55	below	below	ADP
iajs-2512	55	56	:	:	PUNCT
iajs-2512	55	57	𝑄	𝑄	PROPN
iajs-2512	55	58	𝑥	𝑥	PROPN
iajs-2512	55	59	;	;	PUNCT
iajs-2512	56	1	𝜎	𝜎	PROPN
iajs-2512	56	2	𝑎	𝑎	X
iajs-2512	56	3	𝜎	𝜎	VERB
iajs-2512	56	4	𝑏	𝑏	NOUN
iajs-2512	56	5	𝑥	𝑥	PRON
iajs-2512	56	6	exp	exp	NOUN
iajs-2512	56	7	∑	∑	PUNCT
iajs-2512	56	8	𝜌	𝜌	X
iajs-2512	56	9	𝜎	𝜎	NOUN
iajs-2512	56	10	𝑟	𝑟	NOUN
iajs-2512	56	11	𝑥	𝑥	INTJ
iajs-2512	56	12	,	,	PUNCT
iajs-2512	56	13	where	where	SCONJ
iajs-2512	56	14	𝑎	𝑎	DET
iajs-2512	56	15	𝜎	𝜎	NOUN
iajs-2512	56	16	,	,	PUNCT
iajs-2512	56	17	𝑏	𝑏	PROPN
iajs-2512	56	18	𝑥	𝑥	X
iajs-2512	56	19	𝑜	𝑜	NOUN
iajs-2512	56	20	,	,	PUNCT
iajs-2512	56	21	and	and	CCONJ
iajs-2512	56	22	𝜎𝜎	𝜎𝜎	INTJ
iajs-2512	56	23	,	,	PUNCT
iajs-2512	56	24	𝜎	𝜎	PROPN
iajs-2512	56	25	,	,	PUNCT
iajs-2512	56	26	…	…	PUNCT
iajs-2512	56	27	,	,	PUNCT
iajs-2512	56	28	𝜎	𝜎	X
iajs-2512	56	29	with	with	ADP
iajs-2512	56	30	𝛾	𝛾	PROPN
iajs-2512	56	31	𝜎	𝜎	NUM
iajs-2512	56	32	𝛿	𝛿	NOUN
iajs-2512	56	33	and	and	CCONJ
iajs-2512	56	34	each	each	PRON
iajs-2512	56	35	of	of	ADP
iajs-2512	56	36	𝜎	𝜎	PROPN
iajs-2512	56	37	,	,	PUNCT
iajs-2512	56	38	𝛾	𝛾	PROPN
iajs-2512	56	39	𝑎𝑛𝑑𝛿	𝑎𝑛𝑑𝛿	NOUN
iajs-2512	56	40	are	be	AUX
iajs-2512	56	41	constant	constant	ADJ
iajs-2512	56	42	.	.	PUNCT
iajs-2512	56	43	  	  	SPACE
iajs-2512	57	1	86	86	NUM
iajs-2512	57	2	  	  	SPACE
iajs-2512	57	3	ibn	ibn	PROPN
iajs-2512	57	4	al	al	PROPN
iajs-2512	57	5	-	-	PUNCT
iajs-2512	57	6	haitham	haitham	PROPN
iajs-2512	57	7	jour	jour	X
iajs-2512	57	8	.	.	PROPN
iajs-2512	57	9	for	for	ADP
iajs-2512	57	10	pure	pure	ADJ
iajs-2512	57	11	&	&	CCONJ
iajs-2512	57	12	appl	appl	PROPN
iajs-2512	57	13	.	.	PUNCT
iajs-2512	58	1	sci	sci	PROPN
iajs-2512	58	2	.	.	PROPN
iajs-2512	59	1	33	33	NUM
iajs-2512	59	2	(	(	PUNCT
iajs-2512	59	3	4	4	NUM
iajs-2512	59	4	)	)	PUNCT
iajs-2512	59	5	2020	2020	NUM
iajs-2512	59	6	let	let	VERB
iajs-2512	59	7	𝑎	𝑎	NOUN
iajs-2512	59	8	𝜎	𝜎	NOUN
iajs-2512	59	9	=	=	X
iajs-2512	59	10	𝛼	𝛼	NOUN
iajs-2512	59	11	;	;	PUNCT
iajs-2512	59	12	𝑏	𝑏	PROPN
iajs-2512	59	13	𝑥	𝑥	PROPN
iajs-2512	59	14	1/𝑥	1/𝑥	NUM
iajs-2512	59	15	;	;	PUNCT
iajs-2512	59	16	𝜌	𝜌	ADP
iajs-2512	59	17	𝜎	𝜎	NOUN
iajs-2512	59	18	𝛼	𝛼	X
iajs-2512	59	19	;	;	PUNCT
iajs-2512	59	20	𝑟	𝑟	X
iajs-2512	59	21	𝑥	𝑥	PRON
iajs-2512	59	22	thus	thus	ADV
iajs-2512	59	23	,	,	PUNCT
iajs-2512	59	24	𝑇	𝑇	PROPN
iajs-2512	59	25	is	be	AUX
iajs-2512	59	26	a	a	DET
iajs-2512	59	27	complete	complete	ADJ
iajs-2512	59	28	sufficient	sufficient	ADJ
iajs-2512	59	29	statistic	statistic	NOUN
iajs-2512	59	30	for	for	ADP
iajs-2512	59	31	(	(	PUNCT
iajs-2512	59	32	𝛼	𝛼	NOUN
iajs-2512	59	33	)	)	PUNCT
iajs-2512	59	34	for	for	ADP
iajs-2512	59	35	𝛬	𝛬	PROPN
iajs-2512	59	36	=	=	SYM
iajs-2512	59	37	1	1	NUM
iajs-2512	59	38	,	,	PUNCT
iajs-2512	59	39	2,3	2,3	NUM
iajs-2512	59	40	.	.	PUNCT
iajs-2512	59	41	to	to	PART
iajs-2512	59	42	find	find	VERB
iajs-2512	59	43	the	the	DET
iajs-2512	59	44	distribution	distribution	NOUN
iajs-2512	59	45	of	of	ADP
iajs-2512	59	46	𝑇	𝑇	PROPN
iajs-2512	59	47	∑	∑	PUNCT
iajs-2512	59	48	,	,	PUNCT
iajs-2512	59	49	suppose	suppose	VERB
iajs-2512	59	50	𝑍	𝑍	NOUN
iajs-2512	59	51	consequently	consequently	ADV
iajs-2512	59	52	,	,	PUNCT
iajs-2512	59	53	𝑋	𝑋	PROPN
iajs-2512	59	54	𝓅	𝓅	PROPN
iajs-2512	59	55	𝑧	𝑧	PROPN
iajs-2512	59	56	𝑓	𝑓	PRON
iajs-2512	59	57	𝑋	𝑋	PROPN
iajs-2512	59	58	(	(	PUNCT
iajs-2512	59	59	22	22	NUM
iajs-2512	59	60	)	)	PUNCT
iajs-2512	59	61	substitute	substitute	NOUN
iajs-2512	59	62	(	(	PUNCT
iajs-2512	59	63	2	2	NUM
iajs-2512	59	64	)	)	PUNCT
iajs-2512	59	65	in	in	ADP
iajs-2512	59	66	(	(	PUNCT
iajs-2512	59	67	22	22	NUM
iajs-2512	59	68	)	)	PUNCT
iajs-2512	59	69	𝓅	𝓅	NOUN
iajs-2512	59	70	𝑧	𝑧	X
iajs-2512	59	71	𝛼	𝛼	PRON
iajs-2512	59	72	exp	exp	NOUN
iajs-2512	59	73	𝛼	𝛼	PART
iajs-2512	59	74	𝑧	𝑧	PROPN
iajs-2512	59	75	(	(	PUNCT
iajs-2512	59	76	23	23	NUM
iajs-2512	59	77	)	)	PUNCT
iajs-2512	59	78	thus	thus	ADV
iajs-2512	59	79	𝑍	𝑍	VERB
iajs-2512	59	80	~𝐸𝑥𝑝	~𝐸𝑥𝑝	NUM
iajs-2512	59	81	𝛼	𝛼	NOUN
iajs-2512	59	82	,	,	PUNCT
iajs-2512	59	83	and	and	CCONJ
iajs-2512	59	84	𝑇	𝑇	PROPN
iajs-2512	59	85	~𝛤	~𝛤	PUNCT
iajs-2512	59	86	𝑛	𝑛	X
iajs-2512	59	87	,	,	PUNCT
iajs-2512	59	88	𝛼	𝛼	VERB
iajs-2512	59	89	𝑈	𝑈	PROPN
iajs-2512	59	90	𝑡	𝑡	PROPN
iajs-2512	59	91	𝑡	𝑡	PROPN
iajs-2512	59	92	.	.	PUNCT
iajs-2512	60	1	exp	exp	NOUN
iajs-2512	60	2	𝛼	𝛼	PROPN
iajs-2512	60	3	𝑡	𝑡	NOUN
iajs-2512	60	4	;	;	PUNCT
iajs-2512	60	5	𝑡	𝑡	PROPN
iajs-2512	60	6	0	0	NUM
iajs-2512	60	7	,	,	PUNCT
iajs-2512	60	8	𝛼	𝛼	PROPN
iajs-2512	60	9	0	0	NUM
iajs-2512	60	10	,	,	PUNCT
iajs-2512	60	11	𝑛	𝑛	PROPN
iajs-2512	60	12	0	0	NUM
iajs-2512	60	13	(	(	PUNCT
iajs-2512	60	14	24	24	NUM
iajs-2512	60	15	)	)	PUNCT
iajs-2512	61	1	then	then	ADV
iajs-2512	61	2	𝐸	𝐸	VERB
iajs-2512	61	3	so	so	ADV
iajs-2512	61	4	the	the	DET
iajs-2512	61	5	unbiased	unbiased	ADJ
iajs-2512	61	6	estimator	estimator	NOUN
iajs-2512	61	7	of	of	ADP
iajs-2512	61	8	(	(	PUNCT
iajs-2512	61	9	𝛼	𝛼	NOUN
iajs-2512	61	10	)	)	PUNCT
iajs-2512	61	11	is	be	AUX
iajs-2512	61	12	(	(	PUNCT
iajs-2512	61	13	)	)	PUNCT
iajs-2512	61	14	,	,	PUNCT
iajs-2512	61	15	therefore	therefore	ADV
iajs-2512	61	16	according	accord	VERB
iajs-2512	61	17	to	to	ADP
iajs-2512	61	18	lehmann	lehmann	NOUN
iajs-2512	61	19	-	-	PUNCT
iajs-2512	61	20	scheffe	scheffe	PROPN
iajs-2512	61	21	theorem	theorem	VERB
iajs-2512	61	22	the	the	DET
iajs-2512	61	23	(	(	PUNCT
iajs-2512	61	24	umvue	umvue	ADJ
iajs-2512	61	25	)	)	PUNCT
iajs-2512	61	26	of	of	ADP
iajs-2512	61	27	(	(	PUNCT
iajs-2512	61	28	𝛼	𝛼	X
iajs-2512	61	29	)	)	PUNCT
iajs-2512	61	30	is	be	AUX
iajs-2512	61	31	𝛼	𝛼	PRON
iajs-2512	61	32	hence	hence	ADV
iajs-2512	61	33	𝛼	𝛼	PRON
iajs-2512	61	34	;	;	PUNCT
iajs-2512	61	35	𝑇	𝑇	PROPN
iajs-2512	61	36	∑	∑	X
iajs-2512	61	37	,	,	PUNCT
iajs-2512	61	38	𝑘1,2,3	𝑘1,2,3	X
iajs-2512	61	39	(	(	PUNCT
iajs-2512	61	40	25	25	NUM
iajs-2512	61	41	)	)	PUNCT
iajs-2512	61	42	by	by	ADP
iajs-2512	61	43	the	the	DET
iajs-2512	61	44	same	same	ADJ
iajs-2512	61	45	way	way	NOUN
iajs-2512	61	46	,	,	PUNCT
iajs-2512	61	47	we	we	PRON
iajs-2512	61	48	can	can	AUX
iajs-2512	61	49	obtain	obtain	VERB
iajs-2512	61	50	(	(	PUNCT
iajs-2512	61	51	umvue	umvue	ADJ
iajs-2512	61	52	)	)	PUNCT
iajs-2512	61	53	of	of	ADP
iajs-2512	61	54	(	(	PUNCT
iajs-2512	61	55	𝛽	𝛽	NOUN
iajs-2512	61	56	)	)	PUNCT
iajs-2512	61	57	as	as	ADP
iajs-2512	61	58	below	below	ADV
iajs-2512	61	59	:	:	PUNCT
iajs-2512	61	60	𝛽	𝛽	NOUN
iajs-2512	61	61	;	;	PUNCT
iajs-2512	61	62	𝐻	𝐻	PROPN
iajs-2512	61	63	∑	∑	PUNCT
iajs-2512	61	64	,	,	PUNCT
iajs-2512	61	65	𝛬	𝛬	PROPN
iajs-2512	61	66	1,2,3	1,2,3	NUM
iajs-2512	61	67	(	(	PUNCT
iajs-2512	61	68	26	26	NUM
iajs-2512	61	69	)	)	PUNCT
iajs-2512	61	70	substituting	substituting	NOUN
iajs-2512	61	71	(	(	PUNCT
iajs-2512	61	72	25	25	NUM
iajs-2512	61	73	)	)	PUNCT
iajs-2512	61	74	,	,	PUNCT
iajs-2512	61	75	(	(	PUNCT
iajs-2512	61	76	26	26	NUM
iajs-2512	61	77	)	)	PUNCT
iajs-2512	61	78	in	in	ADP
iajs-2512	61	79	(	(	PUNCT
iajs-2512	61	80	15	15	NUM
iajs-2512	61	81	)	)	PUNCT
iajs-2512	61	82	to	to	PART
iajs-2512	61	83	obtain	obtain	VERB
iajs-2512	61	84	umvu	umvu	ADJ
iajs-2512	61	85	estimator	estimator	NOUN
iajs-2512	61	86	for	for	ADP
iajs-2512	61	87	cascade	cascade	NOUN
iajs-2512	61	88	reliability	reliability	NOUN
iajs-2512	61	89	model	model	NOUN
iajs-2512	61	90	of	of	ADP
iajs-2512	61	91	ied	ied	PROPN
iajs-2512	61	92	as	as	ADP
iajs-2512	61	93	the	the	DET
iajs-2512	61	94	following	follow	VERB
iajs-2512	61	95	:	:	PUNCT
iajs-2512	61	96	𝑅	𝑅	PROPN
iajs-2512	61	97	(	(	PUNCT
iajs-2512	61	98	27	27	NUM
iajs-2512	61	99	)	)	PUNCT
iajs-2512	61	100	5	5	NUM
iajs-2512	61	101	.	.	PUNCT
iajs-2512	61	102	preliminary	preliminary	ADJ
iajs-2512	61	103	test	test	NOUN
iajs-2512	61	104	single	single	ADJ
iajs-2512	61	105	shrinkage	shrinkage	NOUN
iajs-2512	61	106	estimator	estimator	NOUN
iajs-2512	61	107	(	(	PUNCT
iajs-2512	61	108	ptssse	ptssse	NOUN
iajs-2512	61	109	)	)	PUNCT
iajs-2512	61	110	.	.	PUNCT
iajs-2512	62	1	in	in	ADP
iajs-2512	62	2	this	this	DET
iajs-2512	62	3	section	section	NOUN
iajs-2512	62	4	,	,	PUNCT
iajs-2512	62	5	we	we	PRON
iajs-2512	62	6	use	use	VERB
iajs-2512	62	7	(	(	PUNCT
iajs-2512	62	8	1	1	NUM
iajs-2512	62	9	)	)	PUNCT
iajs-2512	62	10	to	to	PART
iajs-2512	62	11	estimate	estimate	VERB
iajs-2512	62	12	the	the	DET
iajs-2512	62	13	cascade	cascade	NOUN
iajs-2512	62	14	reliability	reliability	NOUN
iajs-2512	62	15	parameters	parameter	NOUN
iajs-2512	62	16	𝛼	𝛼	PRON
iajs-2512	62	17	,	,	PUNCT
iajs-2512	62	18	𝛽	𝛽	NOUN
iajs-2512	62	19	;	;	PUNCT
iajs-2512	62	20	𝛬	𝛬	PROPN
iajs-2512	62	21	1,2,3	1,2,3	NUM
iajs-2512	62	22	of	of	ADP
iajs-2512	62	23	𝑋	𝑋	PROPN
iajs-2512	62	24	~𝐼𝐸𝐷	~𝐼𝐸𝐷	NOUN
iajs-2512	62	25	and	and	CCONJ
iajs-2512	62	26	𝑌	𝑌	PROPN
iajs-2512	62	27	~𝐼𝐸𝐷	~𝐼𝐸𝐷	NOUN
iajs-2512	62	28	respectively	respectively	ADV
iajs-2512	62	29	.	.	PUNCT
iajs-2512	63	1	first	first	ADV
iajs-2512	63	2	in	in	ADP
iajs-2512	63	3	order	order	NOUN
iajs-2512	63	4	to	to	PART
iajs-2512	63	5	find	find	VERB
iajs-2512	63	6	ptssse	ptssse	NOUN
iajs-2512	63	7	of	of	ADP
iajs-2512	63	8	𝛼	𝛼	PRON
iajs-2512	63	9	choose	choose	VERB
iajs-2512	63	10	∅	∅	NOUN
iajs-2512	63	11	𝛼	𝛼	NOUN
iajs-2512	63	12	as	as	SCONJ
iajs-2512	63	13	follows	follow	VERB
iajs-2512	63	14	:	:	PUNCT
iajs-2512	63	15	∅	∅	NOUN
iajs-2512	63	16	𝛼	𝛼	PART
iajs-2512	63	17	𝜗	𝜗	NOUN
iajs-2512	63	18	𝛼	𝛼	PRON
iajs-2512	63	19	𝑖𝑓𝛼	𝑖𝑓𝛼	NOUN
iajs-2512	63	20	∈	∈	PROPN
iajs-2512	63	21	𝑅	𝑅	PROPN
iajs-2512	63	22	𝜗	𝜗	NOUN
iajs-2512	63	23	𝛼	𝛼	NOUN
iajs-2512	63	24	𝑖𝑓𝛼	𝑖𝑓𝛼	PROPN
iajs-2512	63	25	∉	∉	PROPN
iajs-2512	63	26	𝑅	𝑅	PROPN
iajs-2512	63	27	(	(	PUNCT
iajs-2512	63	28	28	28	NUM
iajs-2512	63	29	)	)	PUNCT
iajs-2512	63	30	where	where	SCONJ
iajs-2512	63	31	𝑅	𝑅	PROPN
iajs-2512	63	32	is	be	AUX
iajs-2512	63	33	a	a	DET
iajs-2512	63	34	preliminary	preliminary	ADJ
iajs-2512	63	35	test	test	NOUN
iajs-2512	63	36	region	region	NOUN
iajs-2512	63	37	of	of	ADP
iajs-2512	63	38	acceptances	acceptance	NOUN
iajs-2512	63	39	of	of	ADP
iajs-2512	63	40	size	size	NOUN
iajs-2512	63	41	(	(	PUNCT
iajs-2512	63	42	𝜆	𝜆	NOUN
iajs-2512	63	43	)	)	PUNCT
iajs-2512	63	44	for	for	ADP
iajs-2512	63	45	testing	test	VERB
iajs-2512	63	46	hypotheses	hypothesis	NOUN
iajs-2512	63	47	𝐻	𝐻	NOUN
iajs-2512	63	48	:	:	PUNCT
iajs-2512	63	49	𝛼	𝛼	PART
iajs-2512	63	50	𝛼	𝛼	NOUN
iajs-2512	63	51	vs.	vs.	ADP
iajs-2512	63	52	𝐻	𝐻	NOUN
iajs-2512	63	53	:	:	PUNCT
iajs-2512	63	54	𝛼	𝛼	X
iajs-2512	63	55	𝛼	𝛼	NOUN
iajs-2512	63	56	using	use	VERB
iajs-2512	63	57	the	the	DET
iajs-2512	63	58	test	test	NOUN
iajs-2512	63	59	statistic	statistic	NOUN
iajs-2512	63	60	𝜏	𝜏	NOUN
iajs-2512	63	61	;	;	PUNCT
iajs-2512	63	62	𝛼	𝛼	PART
iajs-2512	63	63	𝛼	𝛼	NOUN
iajs-2512	63	64	thus	thus	ADV
iajs-2512	63	65	,	,	PUNCT
iajs-2512	63	66	by	by	ADP
iajs-2512	63	67	rewriting	rewrite	VERB
iajs-2512	63	68	equation(1	equation(1	NOUN
iajs-2512	63	69	)	)	PUNCT
iajs-2512	63	70	as	as	ADP
iajs-2512	63	71	below	below	ADV
iajs-2512	63	72	:	:	PUNCT
iajs-2512	63	73	𝛼	𝛼	X
iajs-2512	63	74	𝜗	𝜗	NOUN
iajs-2512	63	75	𝛼	𝛼	X
iajs-2512	63	76	𝛼	𝛼	X
iajs-2512	63	77	𝛼	𝛼	NOUN
iajs-2512	63	78	𝛼	𝛼	NOUN
iajs-2512	63	79	,	,	PUNCT
iajs-2512	63	80	𝑖𝑓𝛼	𝑖𝑓𝛼	PROPN
iajs-2512	63	81	∈	∈	PROPN
iajs-2512	63	82	𝑅	𝑅	PROPN
iajs-2512	63	83	𝜗	𝜗	NOUN
iajs-2512	63	84	𝛼	𝛼	NOUN
iajs-2512	63	85	𝛼	𝛼	NOUN
iajs-2512	63	86	𝛼	𝛼	NOUN
iajs-2512	63	87	𝛼	𝛼	NOUN
iajs-2512	63	88	,	,	PUNCT
iajs-2512	63	89	𝑖𝑓𝛼	𝑖𝑓𝛼	PROPN
iajs-2512	63	90	∉	∉	PROPN
iajs-2512	63	91	𝑅	𝑅	PROPN
iajs-2512	63	92	(	(	PUNCT
iajs-2512	63	93	29	29	NUM
iajs-2512	63	94	)	)	PUNCT
iajs-2512	63	95	where	where	SCONJ
iajs-2512	63	96	𝜗	𝜗	NOUN
iajs-2512	63	97	𝛼	𝛼	X
iajs-2512	63	98	;	;	PUNCT
iajs-2512	63	99	𝑟	𝑟	DET
iajs-2512	63	100	1,2	1,2	NUM
iajs-2512	63	101	represents	represent	VERB
iajs-2512	63	102	the	the	DET
iajs-2512	63	103	shrinkage	shrinkage	NOUN
iajs-2512	63	104	weight	weight	NOUN
iajs-2512	63	105	factor	factor	NOUN
iajs-2512	63	106	which	which	PRON
iajs-2512	63	107	may	may	AUX
iajs-2512	63	108	be	be	AUX
iajs-2512	63	109	a	a	DET
iajs-2512	63	110	function	function	NOUN
iajs-2512	63	111	of	of	ADP
iajs-2512	63	112	𝛼	𝛼	PRON
iajs-2512	63	113	or	or	CCONJ
iajs-2512	63	114	may	may	AUX
iajs-2512	63	115	be	be	AUX
iajs-2512	63	116	constants	constant	NOUN
iajs-2512	63	117	with	with	ADP
iajs-2512	63	118	the	the	DET
iajs-2512	63	119	condition	condition	NOUN
iajs-2512	63	120	0	0	NUM
iajs-2512	63	121	𝜗	𝜗	PROPN
iajs-2512	63	122	𝛼	𝛼	PROPN
iajs-2512	63	123	1	1	NUM
iajs-2512	63	124	.	.	PUNCT
iajs-2512	64	1	using	use	VERB
iajs-2512	64	2	the	the	DET
iajs-2512	64	3	form	form	NOUN
iajs-2512	64	4	(	(	PUNCT
iajs-2512	64	5	29	29	NUM
iajs-2512	64	6	)	)	PUNCT
iajs-2512	64	7	,	,	PUNCT
iajs-2512	64	8	we	we	PRON
iajs-2512	64	9	proposed	propose	VERB
iajs-2512	64	10	  	  	SPACE
iajs-2512	64	11	87	87	NUM
iajs-2512	64	12	  	  	SPACE
iajs-2512	64	13	ibn	ibn	PROPN
iajs-2512	64	14	al	al	PROPN
iajs-2512	64	15	-	-	PUNCT
iajs-2512	64	16	haitham	haitham	PROPN
iajs-2512	64	17	jour	jour	X
iajs-2512	64	18	.	.	PROPN
iajs-2512	65	1	for	for	ADP
iajs-2512	65	2	pure	pure	ADJ
iajs-2512	65	3	&	&	CCONJ
iajs-2512	65	4	appl	appl	PROPN
iajs-2512	65	5	.	.	PUNCT
iajs-2512	66	1	sci	sci	PROPN
iajs-2512	66	2	.	.	PROPN
iajs-2512	67	1	33	33	NUM
iajs-2512	67	2	(	(	PUNCT
iajs-2512	67	3	4	4	NUM
iajs-2512	67	4	)	)	PUNCT
iajs-2512	67	5	2020	2020	NUM
iajs-2512	68	1	two	two	NUM
iajs-2512	68	2	preliminary	preliminary	ADJ
iajs-2512	68	3	test	test	NOUN
iajs-2512	68	4	single	single	ADJ
iajs-2512	68	5	stage	stage	NOUN
iajs-2512	68	6	shrinkage	shrinkage	NOUN
iajs-2512	68	7	estimators	estimator	NOUN
iajs-2512	68	8	𝛼	𝛼	VERB
iajs-2512	68	9	when	when	SCONJ
iajs-2512	68	10	a	a	DET
iajs-2512	68	11	prior	prior	ADJ
iajs-2512	68	12	knowledge	knowledge	NOUN
iajs-2512	68	13	𝛼	𝛼	PROPN
iajs-2512	68	14	is	be	AUX
iajs-2512	68	15	available	available	ADJ
iajs-2512	68	16	for	for	ADP
iajs-2512	68	17	𝛼	𝛼	X
iajs-2512	68	18	𝛼	𝛼	NOUN
iajs-2512	68	19	𝛼	𝛼	NOUN
iajs-2512	68	20	,	,	PUNCT
iajs-2512	68	21	𝑖𝑓𝛼	𝑖𝑓𝛼	PROPN
iajs-2512	68	22	∈	∈	PROPN
iajs-2512	68	23	𝑅	𝑅	PROPN
iajs-2512	68	24	𝛼	𝛼	PROPN
iajs-2512	68	25	,	,	PUNCT
iajs-2512	68	26	𝑖𝑓𝛼	𝑖𝑓𝛼	PROPN
iajs-2512	68	27	∉	∉	PROPN
iajs-2512	68	28	𝑅	𝑅	PROPN
iajs-2512	68	29	(	(	PUNCT
iajs-2512	68	30	30	30	NUM
iajs-2512	68	31	)	)	PUNCT
iajs-2512	68	32	then	then	ADV
iajs-2512	68	33	𝜗	𝜗	PROPN
iajs-2512	68	34	𝛼	𝛼	NOUN
iajs-2512	68	35	0	0	NUM
iajs-2512	69	1	and	and	CCONJ
iajs-2512	69	2	𝜗	𝜗	ADP
iajs-2512	69	3	𝛼	𝛼	SYM
iajs-2512	69	4	1	1	NUM
iajs-2512	69	5	in	in	ADP
iajs-2512	69	6	(	(	PUNCT
iajs-2512	69	7	28	28	NUM
iajs-2512	69	8	)	)	PUNCT
iajs-2512	69	9	and	and	CCONJ
iajs-2512	69	10	𝛼	𝛼	ADJ
iajs-2512	69	11	𝛼	𝛼	NOUN
iajs-2512	69	12	,	,	PUNCT
iajs-2512	69	13	𝑖𝑓𝛼	𝑖𝑓𝛼	PROPN
iajs-2512	69	14	∈	∈	PROPN
iajs-2512	69	15	𝑅	𝑅	PROPN
iajs-2512	69	16	𝑐	𝑐	PROPN
iajs-2512	69	17	𝛼	𝛼	PROPN
iajs-2512	69	18	𝛼	𝛼	PROPN
iajs-2512	69	19	,	,	PUNCT
iajs-2512	69	20	𝑖𝑓𝛼	𝑖𝑓𝛼	PROPN
iajs-2512	69	21	∉	∉	PROPN
iajs-2512	69	22	𝑅	𝑅	PROPN
iajs-2512	69	23	(	(	PUNCT
iajs-2512	69	24	31	31	NUM
iajs-2512	69	25	)	)	PUNCT
iajs-2512	69	26	thus	thus	ADV
iajs-2512	69	27	𝜗	𝜗	ADP
iajs-2512	69	28	𝛼	𝛼	NOUN
iajs-2512	69	29	0	0	NUM
iajs-2512	69	30	and	and	CCONJ
iajs-2512	69	31	𝜗	𝜗	ADP
iajs-2512	69	32	𝛼	𝛼	PROPN
iajs-2512	69	33	𝑐	𝑐	PROPN
iajs-2512	69	34	in	in	ADP
iajs-2512	69	35	(	(	PUNCT
iajs-2512	69	36	28	28	NUM
iajs-2512	69	37	)	)	PUNCT
iajs-2512	69	38	while	while	SCONJ
iajs-2512	69	39	:	:	PUNCT
iajs-2512	69	40	𝑅	𝑅	PROPN
iajs-2512	69	41	𝑎	𝑎	PROPN
iajs-2512	69	42	,	,	PUNCT
iajs-2512	69	43	𝑎	𝑎	NOUN
iajs-2512	69	44	;	;	PUNCT
iajs-2512	69	45	𝑎	𝑎	PRON
iajs-2512	69	46	𝑋	𝑋	NOUN
iajs-2512	69	47	,	,	PUNCT
iajs-2512	69	48	⁄	⁄	PROPN
iajs-2512	69	49	and	and	CCONJ
iajs-2512	69	50	𝑎	𝑎	PRON
iajs-2512	69	51	𝑋	𝑋	NOUN
iajs-2512	69	52	,	,	PUNCT
iajs-2512	69	53	⁄	⁄	PROPN
iajs-2512	69	54	where	where	SCONJ
iajs-2512	69	55	𝑋	𝑋	PROPN
iajs-2512	69	56	,	,	PUNCT
iajs-2512	69	57	⁄	⁄	PROPN
iajs-2512	69	58	,	,	PUNCT
iajs-2512	69	59	𝑋	𝑋	PROPN
iajs-2512	69	60	,	,	PUNCT
iajs-2512	69	61	⁄	⁄	PROPN
iajs-2512	69	62	are	be	AUX
iajs-2512	69	63	respectively	respectively	ADV
iajs-2512	69	64	the	the	DET
iajs-2512	69	65	lower	low	ADJ
iajs-2512	69	66	and	and	CCONJ
iajs-2512	69	67	upper	upper	ADJ
iajs-2512	69	68	100	100	NUM
iajs-2512	69	69	𝜆	𝜆	DET
iajs-2512	69	70	2⁄	2⁄	NUM
iajs-2512	69	71	precedential	precedential	ADJ
iajs-2512	69	72	point	point	NOUN
iajs-2512	69	73	of	of	ADP
iajs-2512	69	74	chi	chi	ADJ
iajs-2512	69	75	-	-	PUNCT
iajs-2512	69	76	square	square	ADJ
iajs-2512	69	77	distribution	distribution	NOUN
iajs-2512	69	78	with	with	ADP
iajs-2512	69	79	(	(	PUNCT
iajs-2512	69	80	2𝑛	2𝑛	NUM
iajs-2512	69	81	)	)	PUNCT
iajs-2512	69	82	degree	degree	NOUN
iajs-2512	69	83	of	of	ADP
iajs-2512	69	84	freedom	freedom	NOUN
iajs-2512	69	85	.	.	PUNCT
iajs-2512	70	1	similarly	similarly	ADV
iajs-2512	70	2	for	for	ADP
iajs-2512	70	3	parameters	parameter	NOUN
iajs-2512	70	4	𝛽	𝛽	NOUN
iajs-2512	70	5	;	;	PUNCT
iajs-2512	70	6	𝛬	𝛬	PROPN
iajs-2512	70	7	1,2,3	1,2,3	NUM
iajs-2512	70	8	of	of	ADP
iajs-2512	70	9	stress	stress	NOUN
iajs-2512	70	10	random	random	ADJ
iajs-2512	70	11	variables	variable	NOUN
iajs-2512	70	12	𝑌	𝑌	PROPN
iajs-2512	70	13	~𝐼𝐸𝐷	~𝐼𝐸𝐷	NOUN
iajs-2512	70	14	choose	choose	VERB
iajs-2512	70	15	∅	∅	NOUN
iajs-2512	70	16	𝛽	𝛽	NOUN
iajs-2512	70	17	as	as	ADP
iajs-2512	70	18	below	below	ADV
iajs-2512	70	19	:	:	PUNCT
iajs-2512	70	20	∅	∅	NOUN
iajs-2512	70	21	𝛽	𝛽	NOUN
iajs-2512	70	22	𝛩	𝛩	PROPN
iajs-2512	70	23	𝛽	𝛽	NOUN
iajs-2512	70	24	𝑖𝑓𝛽	𝑖𝑓𝛽	VERB
iajs-2512	70	25	∈	∈	PROPN
iajs-2512	70	26	𝑅	𝑅	PROPN
iajs-2512	70	27	𝛩	𝛩	PROPN
iajs-2512	70	28	𝛽	𝛽	NOUN
iajs-2512	70	29	𝑖𝑓𝛽	𝑖𝑓𝛽	PROPN
iajs-2512	70	30	∉	∉	PROPN
iajs-2512	70	31	𝑅	𝑅	PROPN
iajs-2512	70	32	(	(	PUNCT
iajs-2512	70	33	32	32	NUM
iajs-2512	70	34	)	)	PUNCT
iajs-2512	70	35	where	where	SCONJ
iajs-2512	70	36	𝑅	𝑅	PROPN
iajs-2512	70	37	is	be	AUX
iajs-2512	70	38	a	a	DET
iajs-2512	70	39	preliminary	preliminary	ADJ
iajs-2512	70	40	test	test	NOUN
iajs-2512	70	41	region	region	NOUN
iajs-2512	70	42	of	of	ADP
iajs-2512	70	43	acceptances	acceptance	NOUN
iajs-2512	70	44	of	of	ADP
iajs-2512	70	45	size	size	NOUN
iajs-2512	70	46	(	(	PUNCT
iajs-2512	70	47	𝜆	𝜆	NOUN
iajs-2512	70	48	)	)	PUNCT
iajs-2512	70	49	for	for	ADP
iajs-2512	70	50	testing	test	VERB
iajs-2512	70	51	hypotheses	hypothesis	NOUN
iajs-2512	70	52	њ	њ	NOUN
iajs-2512	70	53	:	:	PUNCT
iajs-2512	70	54	𝛽	𝛽	ADP
iajs-2512	70	55	𝛽	𝛽	NOUN
iajs-2512	70	56	vs.	vs.	ADP
iajs-2512	70	57	њ	њ	NOUN
iajs-2512	70	58	:	:	PUNCT
iajs-2512	70	59	𝛽	𝛽	ADP
iajs-2512	70	60	𝛽	𝛽	NOUN
iajs-2512	70	61	using	use	VERB
iajs-2512	70	62	the	the	DET
iajs-2512	70	63	test	test	NOUN
iajs-2512	70	64	statistic	statistic	NOUN
iajs-2512	70	65	𝜏	𝜏	NOUN
iajs-2512	70	66	;	;	PUNCT
iajs-2512	70	67	𝛽	𝛽	PROPN
iajs-2512	70	68	𝛽	𝛽	NOUN
iajs-2512	70	69	thus	thus	ADV
iajs-2512	70	70	,	,	PUNCT
iajs-2512	70	71	we	we	PRON
iajs-2512	70	72	get	get	VERB
iajs-2512	70	73	:	:	PUNCT
iajs-2512	70	74	𝛽	𝛽	PROPN
iajs-2512	70	75	𝛩	𝛩	PROPN
iajs-2512	70	76	𝛽	𝛽	NOUN
iajs-2512	70	77	𝛽	𝛽	PROPN
iajs-2512	70	78	𝛽	𝛽	PROPN
iajs-2512	70	79	𝛽	𝛽	PROPN
iajs-2512	70	80	,	,	PUNCT
iajs-2512	70	81	𝑖𝑓𝛽	𝑖𝑓𝛽	VERB
iajs-2512	70	82	∈	∈	PROPN
iajs-2512	70	83	𝑅	𝑅	PROPN
iajs-2512	70	84	𝛩	𝛩	PROPN
iajs-2512	70	85	𝛽	𝛽	PROPN
iajs-2512	70	86	𝛽	𝛽	PROPN
iajs-2512	70	87	𝛽	𝛽	PROPN
iajs-2512	70	88	𝛽	𝛽	PROPN
iajs-2512	70	89	,	,	PUNCT
iajs-2512	71	1	𝑖𝑓𝛽	𝑖𝑓𝛽	PROPN
iajs-2512	71	2	∉	∉	PROPN
iajs-2512	71	3	𝑅	𝑅	PROPN
iajs-2512	71	4	(	(	PUNCT
iajs-2512	71	5	33	33	NUM
iajs-2512	71	6	)	)	PUNCT
iajs-2512	71	7	such	such	ADJ
iajs-2512	71	8	that	that	SCONJ
iajs-2512	71	9	0	0	NUM
iajs-2512	71	10	𝛩	𝛩	PROPN
iajs-2512	71	11	𝛽	𝛽	NOUN
iajs-2512	71	12	1	1	NUM
iajs-2512	71	13	,	,	PUNCT
iajs-2512	71	14	𝑟	𝑟	PRON
iajs-2512	71	15	1,2	1,2	NUM
iajs-2512	71	16	and	and	CCONJ
iajs-2512	71	17	𝛩	𝛩	PRON
iajs-2512	71	18	𝛽	𝛽	NOUN
iajs-2512	71	19	represents	represent	VERB
iajs-2512	71	20	as	as	ADP
iajs-2512	71	21	shrinkage	shrinkage	NOUN
iajs-2512	71	22	weight	weight	NOUN
iajs-2512	71	23	factor	factor	NOUN
iajs-2512	71	24	which	which	PRON
iajs-2512	71	25	may	may	AUX
iajs-2512	71	26	be	be	AUX
iajs-2512	71	27	constants	constant	NOUN
iajs-2512	71	28	or	or	CCONJ
iajs-2512	71	29	functions	function	NOUN
iajs-2512	71	30	of	of	ADP
iajs-2512	71	31	𝛽	𝛽	NOUN
iajs-2512	71	32	.	.	PUNCT
iajs-2512	72	1	we	we	PRON
iajs-2512	72	2	proposed	propose	VERB
iajs-2512	72	3	two	two	NUM
iajs-2512	72	4	preliminary	preliminary	ADJ
iajs-2512	72	5	test	test	NOUN
iajs-2512	72	6	single	single	ADJ
iajs-2512	72	7	stage	stage	NOUN
iajs-2512	72	8	shrinkage	shrinkage	VERB
iajs-2512	72	9	estimators	estimator	NOUN
iajs-2512	72	10	𝛽	𝛽	NOUN
iajs-2512	72	11	to	to	PART
iajs-2512	72	12	estimate	estimate	VERB
iajs-2512	72	13	the	the	DET
iajs-2512	72	14	reliability	reliability	NOUN
iajs-2512	72	15	parameters	parameter	NOUN
iajs-2512	72	16	when	when	SCONJ
iajs-2512	72	17	a	a	DET
iajs-2512	72	18	prior	prior	ADJ
iajs-2512	72	19	knowledge	knowledge	NOUN
iajs-2512	72	20	𝛽	𝛽	PROPN
iajs-2512	72	21	is	be	AUX
iajs-2512	72	22	available	available	ADJ
iajs-2512	72	23	for	for	ADP
iajs-2512	72	24	𝛽	𝛽	PROPN
iajs-2512	72	25	𝛽	𝛽	PROPN
iajs-2512	72	26	𝛽	𝛽	PROPN
iajs-2512	72	27	,	,	PUNCT
iajs-2512	72	28	𝑖𝑓𝛽	𝑖𝑓𝛽	VERB
iajs-2512	72	29	∈	∈	PROPN
iajs-2512	72	30	𝑅	𝑅	PROPN
iajs-2512	72	31	𝛽	𝛽	PROPN
iajs-2512	72	32	,	,	PUNCT
iajs-2512	72	33	𝑖𝑓𝛽	𝑖𝑓𝛽	PROPN
iajs-2512	72	34	∉	∉	PROPN
iajs-2512	72	35	𝑅	𝑅	PROPN
iajs-2512	72	36	(	(	PUNCT
iajs-2512	72	37	34	34	NUM
iajs-2512	72	38	)	)	PUNCT
iajs-2512	72	39	then	then	ADV
iajs-2512	72	40	𝛩	𝛩	PROPN
iajs-2512	72	41	𝛽	𝛽	NOUN
iajs-2512	72	42	0	0	NUM
iajs-2512	72	43	and	and	CCONJ
iajs-2512	72	44	𝛩	𝛩	PRON
iajs-2512	72	45	𝛽	𝛽	NOUN
iajs-2512	72	46	1	1	NUM
iajs-2512	72	47	in	in	ADP
iajs-2512	72	48	(	(	PUNCT
iajs-2512	72	49	28	28	NUM
iajs-2512	72	50	)	)	PUNCT
iajs-2512	72	51	and	and	CCONJ
iajs-2512	72	52	𝛽	𝛽	ADP
iajs-2512	72	53	𝛽	𝛽	NOUN
iajs-2512	72	54	,	,	PUNCT
iajs-2512	72	55	𝑖𝑓𝛽	𝑖𝑓𝛽	VERB
iajs-2512	72	56	∈	∈	PROPN
iajs-2512	72	57	𝑅	𝑅	PROPN
iajs-2512	72	58	𝑐	𝑐	PROPN
iajs-2512	72	59	𝛽	𝛽	PROPN
iajs-2512	72	60	𝛽	𝛽	PROPN
iajs-2512	72	61	,	,	PUNCT
iajs-2512	72	62	𝑖𝑓𝛽	𝑖𝑓𝛽	PROPN
iajs-2512	72	63	∉	∉	PROPN
iajs-2512	72	64	𝑅	𝑅	PROPN
iajs-2512	72	65	(	(	PUNCT
iajs-2512	72	66	35	35	NUM
iajs-2512	72	67	)	)	PUNCT
iajs-2512	72	68	thus	thus	ADV
iajs-2512	72	69	𝛩	𝛩	PRON
iajs-2512	72	70	𝛽	𝛽	NOUN
iajs-2512	72	71	0	0	NUM
iajs-2512	73	1	and𝛩	and𝛩	PROPN
iajs-2512	74	1	𝛽	𝛽	PROPN
iajs-2512	74	2	𝑐	𝑐	PROPN
iajs-2512	74	3	in	in	ADP
iajs-2512	74	4	(	(	PUNCT
iajs-2512	74	5	28	28	NUM
iajs-2512	74	6	)	)	PUNCT
iajs-2512	74	7	such	such	ADJ
iajs-2512	74	8	that	that	PRON
iajs-2512	74	9	𝑅	𝑅	PROPN
iajs-2512	74	10	𝑠	𝑠	PROPN
iajs-2512	74	11	,	,	PUNCT
iajs-2512	74	12	𝑠	𝑠	PROPN
iajs-2512	74	13	while	while	SCONJ
iajs-2512	74	14	𝑠	𝑠	PROPN
iajs-2512	74	15	𝑌	𝑌	PROPN
iajs-2512	74	16	,	,	PUNCT
iajs-2512	74	17	⁄	⁄	PROPN
iajs-2512	74	18	and	and	CCONJ
iajs-2512	74	19	𝑠	𝑠	PRON
iajs-2512	74	20	𝑌	𝑌	PROPN
iajs-2512	74	21	,	,	PUNCT
iajs-2512	74	22	⁄	⁄	PROPN
iajs-2512	74	23	𝑌	𝑌	PROPN
iajs-2512	74	24	,	,	PUNCT
iajs-2512	74	25	⁄	⁄	PROPN
iajs-2512	74	26	,	,	PUNCT
iajs-2512	74	27	𝑌	𝑌	PROPN
iajs-2512	74	28	,	,	PUNCT
iajs-2512	74	29	⁄	⁄	PROPN
iajs-2512	74	30	are	be	AUX
iajs-2512	74	31	respectively	respectively	ADV
iajs-2512	74	32	the	the	DET
iajs-2512	74	33	lower	low	ADJ
iajs-2512	74	34	and	and	CCONJ
iajs-2512	74	35	upper	upper	ADJ
iajs-2512	74	36	100	100	NUM
iajs-2512	74	37	𝜆	𝜆	DET
iajs-2512	74	38	2⁄	2⁄	NUM
iajs-2512	74	39	precedential	precedential	ADJ
iajs-2512	74	40	point	point	NOUN
iajs-2512	74	41	of	of	ADP
iajs-2512	74	42	chi	chi	ADJ
iajs-2512	74	43	-	-	PUNCT
iajs-2512	74	44	square	square	ADJ
iajs-2512	74	45	distribution	distribution	NOUN
iajs-2512	74	46	with	with	ADP
iajs-2512	74	47	(	(	PUNCT
iajs-2512	74	48	2𝑚	2𝑚	NUM
iajs-2512	74	49	)	)	PUNCT
iajs-2512	74	50	degree	degree	NOUN
iajs-2512	74	51	of	of	ADP
iajs-2512	74	52	freedom	freedom	NOUN
iajs-2512	74	53	.	.	PUNCT
iajs-2512	75	1	substituting	substitute	VERB
iajs-2512	75	2	(	(	PUNCT
iajs-2512	75	3	30),(31),(34	30),(31),(34	NOUN
iajs-2512	75	4	)	)	PUNCT
iajs-2512	75	5	and	and	CCONJ
iajs-2512	75	6	(	(	PUNCT
iajs-2512	75	7	35	35	NUM
iajs-2512	75	8	)	)	PUNCT
iajs-2512	75	9	in	in	ADP
iajs-2512	75	10	(	(	PUNCT
iajs-2512	75	11	15	15	NUM
iajs-2512	75	12	)	)	PUNCT
iajs-2512	75	13	to	to	PART
iajs-2512	75	14	obtain	obtain	VERB
iajs-2512	75	15	preliminary	preliminary	ADJ
iajs-2512	75	16	test	test	NOUN
iajs-2512	75	17	single	single	ADJ
iajs-2512	75	18	shrinkage	shrinkage	NOUN
iajs-2512	75	19	estimator	estimator	NOUN
iajs-2512	75	20	for	for	ADP
iajs-2512	75	21	cascade	cascade	NOUN
iajs-2512	75	22	reliability	reliability	NOUN
iajs-2512	75	23	model(2	model(2	NOUN
iajs-2512	75	24	+	+	NOUN
iajs-2512	75	25	1	1	NUM
iajs-2512	75	26	)	)	PUNCT
iajs-2512	75	27	of	of	ADP
iajs-2512	75	28	ied	ied	PROPN
iajs-2512	75	29	as	as	ADP
iajs-2512	75	30	the	the	DET
iajs-2512	75	31	following	follow	VERB
iajs-2512	75	32	  	  	SPACE
iajs-2512	75	33	88	88	NUM
iajs-2512	75	34	  	  	SPACE
iajs-2512	75	35	ibn	ibn	PROPN
iajs-2512	75	36	al	al	PROPN
iajs-2512	75	37	-	-	PUNCT
iajs-2512	75	38	haitham	haitham	PROPN
iajs-2512	75	39	jour	jour	X
iajs-2512	75	40	.	.	PROPN
iajs-2512	75	41	for	for	ADP
iajs-2512	75	42	pure	pure	ADJ
iajs-2512	75	43	&	&	CCONJ
iajs-2512	75	44	appl	appl	PROPN
iajs-2512	75	45	.	.	PUNCT
iajs-2512	76	1	sci	sci	PROPN
iajs-2512	76	2	.	.	PROPN
iajs-2512	77	1	33	33	NUM
iajs-2512	77	2	(	(	PUNCT
iajs-2512	77	3	4	4	NUM
iajs-2512	77	4	)	)	PUNCT
iajs-2512	77	5	2020	2020	NUM
iajs-2512	77	6	𝑅	𝑅	PROPN
iajs-2512	77	7	(	(	PUNCT
iajs-2512	77	8	36	36	NUM
iajs-2512	77	9	)	)	PUNCT
iajs-2512	77	10	6	6	NUM
iajs-2512	77	11	.	.	PUNCT
iajs-2512	77	12	simulation	simulation	NOUN
iajs-2512	77	13	study	study	NOUN
iajs-2512	77	14	in	in	ADP
iajs-2512	77	15	this	this	DET
iajs-2512	77	16	section	section	NOUN
iajs-2512	77	17	,	,	PUNCT
iajs-2512	77	18	we	we	PRON
iajs-2512	77	19	present	present	VERB
iajs-2512	77	20	some	some	DET
iajs-2512	77	21	results	result	NOUN
iajs-2512	77	22	based	base	VERB
iajs-2512	77	23	on	on	ADP
iajs-2512	77	24	monte	monte	PROPN
iajs-2512	77	25	carlo	carlo	PROPN
iajs-2512	77	26	simulations	simulation	NOUN
iajs-2512	77	27	to	to	PART
iajs-2512	77	28	compare	compare	VERB
iajs-2512	77	29	the	the	DET
iajs-2512	77	30	performance	performance	NOUN
iajs-2512	77	31	of	of	ADP
iajs-2512	77	32	different	different	ADJ
iajs-2512	77	33	methods	method	NOUN
iajs-2512	77	34	:	:	PUNCT
iajs-2512	77	35	mle	mle	NOUN
iajs-2512	77	36	,	,	PUNCT
iajs-2512	77	37	umvue	umvue	ADJ
iajs-2512	77	38	and	and	CCONJ
iajs-2512	77	39	ptssse	ptssse	NOUN
iajs-2512	77	40	of	of	ADP
iajs-2512	77	41	cascade	cascade	NOUN
iajs-2512	77	42	reliability	reliability	NOUN
iajs-2512	77	43	model(2	model(2	NOUN
iajs-2512	77	44	+	+	NOUN
iajs-2512	77	45	1	1	NUM
iajs-2512	77	46	)	)	PUNCT
iajs-2512	77	47	using	use	VERB
iajs-2512	77	48	different	different	ADJ
iajs-2512	77	49	sample	sample	NOUN
iajs-2512	77	50	(	(	PUNCT
iajs-2512	77	51	20	20	NUM
iajs-2512	77	52	,	,	PUNCT
iajs-2512	77	53	40	40	NUM
iajs-2512	77	54	,	,	PUNCT
iajs-2512	77	55	and	and	CCONJ
iajs-2512	77	56	60	60	NUM
iajs-2512	77	57	)	)	PUNCT
iajs-2512	77	58	.	.	PUNCT
iajs-2512	78	1	for	for	ADP
iajs-2512	78	2	this	this	DET
iajs-2512	78	3	purpose	purpose	NOUN
iajs-2512	78	4	the	the	DET
iajs-2512	78	5	following	follow	VERB
iajs-2512	78	6	steps	step	NOUN
iajs-2512	78	7	of	of	ADP
iajs-2512	78	8	monte	monte	PROPN
iajs-2512	78	9	carlo	carlo	PROPN
iajs-2512	78	10	simulation	simulation	PROPN
iajs-2512	78	11	are	be	AUX
iajs-2512	78	12	used	use	VERB
iajs-2512	78	13	based	base	VERB
iajs-2512	78	14	on	on	ADP
iajs-2512	78	15	mean	mean	ADJ
iajs-2512	78	16	squared	square	VERB
iajs-2512	78	17	errors	error	NOUN
iajs-2512	78	18	criteria	criterion	NOUN
iajs-2512	78	19	with	with	ADP
iajs-2512	78	20	1000	1000	NUM
iajs-2512	78	21	replicates	replicate	NOUN
iajs-2512	78	22	:	:	PUNCT
iajs-2512	78	23	step1	step1	PROPN
iajs-2512	78	24	:	:	PUNCT
iajs-2512	78	25	generate	generate	VERB
iajs-2512	78	26	random	random	ADJ
iajs-2512	78	27	samples	sample	NOUN
iajs-2512	78	28	which	which	PRON
iajs-2512	78	29	follow	follow	VERB
iajs-2512	78	30	the	the	DET
iajs-2512	78	31	continuous	continuous	ADJ
iajs-2512	78	32	uniform	uniform	ADJ
iajs-2512	78	33	distribution	distribution	NOUN
iajs-2512	78	34	defined	define	VERB
iajs-2512	78	35	on	on	ADP
iajs-2512	78	36	the	the	DET
iajs-2512	78	37	interval	interval	NOUN
iajs-2512	78	38	(	(	PUNCT
iajs-2512	78	39	0,1	0,1	NOUN
iajs-2512	78	40	)	)	PUNCT
iajs-2512	78	41	,	,	PUNCT
iajs-2512	78	42	as	as	ADP
iajs-2512	78	43	𝑢	𝑢	X
iajs-2512	78	44	,	,	PUNCT
iajs-2512	78	45	𝑢	𝑢	X
iajs-2512	78	46	,	,	PUNCT
iajs-2512	78	47	…	…	PUNCT
iajs-2512	78	48	,	,	PUNCT
iajs-2512	78	49	𝑢	𝑢	NOUN
iajs-2512	78	50	and	and	CCONJ
iajs-2512	78	51	𝑤	𝑤	VERB
iajs-2512	78	52	,	,	PUNCT
iajs-2512	78	53	𝑤	𝑤	ADP
iajs-2512	78	54	,	,	PUNCT
iajs-2512	78	55	…	…	PUNCT
iajs-2512	78	56	,	,	PUNCT
iajs-2512	78	57	𝑤	𝑤	PART
iajs-2512	78	58	,	,	PUNCT
iajs-2512	78	59	for	for	ADP
iajs-2512	78	60	all	all	DET
iajs-2512	78	61	𝑖	𝑖	ADP
iajs-2512	78	62	1,2	1,2	NUM
iajs-2512	78	63	,	,	PUNCT
iajs-2512	78	64	…	…	PUNCT
iajs-2512	78	65	,	,	PUNCT
iajs-2512	78	66	𝑘	𝑘	DET
iajs-2512	78	67	𝑎𝑛𝑑	𝑎𝑛𝑑	ADJ
iajs-2512	78	68	𝑗	𝑗	PROPN
iajs-2512	78	69	1,2	1,2	NUM
iajs-2512	78	70	,	,	PUNCT
iajs-2512	78	71	…	…	PUNCT
iajs-2512	78	72	,	,	PUNCT
iajs-2512	78	73	𝑛	𝑛	PROPN
iajs-2512	78	74	.	.	PUNCT
iajs-2512	79	1	respectively	respectively	ADV
iajs-2512	79	2	.	.	PUNCT
iajs-2512	79	3	,	,	PUNCT
iajs-2512	79	4	step2	step2	PROPN
iajs-2512	79	5	:	:	PUNCT
iajs-2512	79	6	applying	apply	VERB
iajs-2512	79	7	an	an	DET
iajs-2512	79	8	inverse	inverse	NOUN
iajs-2512	79	9	transformation	transformation	NOUN
iajs-2512	79	10	approach	approach	NOUN
iajs-2512	79	11	to	to	PART
iajs-2512	79	12	generate	generate	VERB
iajs-2512	79	13	random	random	ADJ
iajs-2512	79	14	variables	variable	NOUN
iajs-2512	79	15	follows	follow	VERB
iajs-2512	79	16	ied	ied	PROPN
iajs-2512	79	17	as	as	SCONJ
iajs-2512	79	18	follows	follow	VERB
iajs-2512	79	19	:	:	PUNCT
iajs-2512	79	20	𝐹	𝐹	PROPN
iajs-2512	79	21	𝑥	𝑥	INTJ
iajs-2512	80	1	𝑒𝑥𝑝	𝑒𝑥𝑝	INTJ
iajs-2512	80	2	:	:	PUNCT
iajs-2512	80	3	𝑈𝑖	𝑈𝑖	PROPN
iajs-2512	80	4	𝑒𝑥𝑝	𝑒𝑥𝑝	INTJ
iajs-2512	80	5	:	:	PUNCT
iajs-2512	80	6	𝑥	𝑥	DET
iajs-2512	80	7	𝛼	𝛼	X
iajs-2512	80	8	/	/	SYM
iajs-2512	80	9	ln	ln	NOUN
iajs-2512	80	10	𝑈𝑖	𝑈𝑖	PROPN
iajs-2512	80	11	and	and	CCONJ
iajs-2512	80	12	,	,	PUNCT
iajs-2512	80	13	by	by	ADP
iajs-2512	80	14	the	the	DET
iajs-2512	80	15	same	same	ADJ
iajs-2512	80	16	method	method	NOUN
iajs-2512	80	17	,	,	PUNCT
iajs-2512	80	18	we	we	PRON
iajs-2512	80	19	get	get	VERB
iajs-2512	80	20	:	:	PUNCT
iajs-2512	80	21	𝑦	𝑦	NOUN
iajs-2512	80	22	𝛼	𝛼	NOUN
iajs-2512	80	23	/	/	SYM
iajs-2512	80	24	ln	ln	PROPN
iajs-2512	80	25	𝑉𝑗	𝑉𝑗	PROPN
iajs-2512	80	26	step3	step3	PROPN
iajs-2512	80	27	:	:	PUNCT
iajs-2512	80	28	recall	recall	VERB
iajs-2512	80	29	the	the	DET
iajs-2512	80	30	r	r	NOUN
iajs-2512	80	31	from	from	ADP
iajs-2512	80	32	equation	equation	NOUN
iajs-2512	80	33	15	15	NUM
iajs-2512	80	34	.	.	PUNCT
iajs-2512	81	1	step4	step4	PROPN
iajs-2512	81	2	:	:	PUNCT
iajs-2512	81	3	find	find	VERB
iajs-2512	81	4	the	the	DET
iajs-2512	81	5	cascade	cascade	NOUN
iajs-2512	81	6	reliability	reliability	NOUN
iajs-2512	81	7	r	r	NOUN
iajs-2512	81	8	of	of	ADP
iajs-2512	81	9	the	the	DET
iajs-2512	81	10	mle	mle	PROPN
iajs-2512	81	11	using	use	VERB
iajs-2512	81	12	equation	equation	NOUN
iajs-2512	81	13	21	21	NUM
iajs-2512	81	14	.	.	PUNCT
iajs-2512	82	1	step5	step5	PROPN
iajs-2512	82	2	:	:	PUNCT
iajs-2512	82	3	find	find	VERB
iajs-2512	82	4	the	the	DET
iajs-2512	82	5	uniformly	uniformly	ADV
iajs-2512	82	6	minimum	minimum	ADJ
iajs-2512	82	7	variance	variance	NOUN
iajs-2512	82	8	unbiased	unbiased	ADJ
iajs-2512	82	9	method	method	NOUN
iajs-2512	82	10	of	of	ADP
iajs-2512	82	11	r	r	NOUN
iajs-2512	82	12	using	use	VERB
iajs-2512	82	13	equation	equation	NOUN
iajs-2512	82	14	27	27	NUM
iajs-2512	82	15	.	.	PUNCT
iajs-2512	83	1	step6	step6	NOUN
iajs-2512	83	2	:	:	PUNCT
iajs-2512	83	3	compute	compute	NOUN
iajs-2512	83	4	(	(	PUNCT
iajs-2512	83	5	ptssse	ptssse	NOUN
iajs-2512	83	6	)	)	PUNCT
iajs-2512	83	7	of	of	ADP
iajs-2512	83	8	cascade	cascade	NOUN
iajs-2512	83	9	reliability	reliability	NOUN
iajs-2512	83	10	using	use	VERB
iajs-2512	83	11	equations	equation	NOUN
iajs-2512	83	12	(	(	PUNCT
iajs-2512	83	13	36	36	NUM
iajs-2512	83	14	)	)	PUNCT
iajs-2512	83	15	.	.	PUNCT
iajs-2512	84	1	step7	step7	PROPN
iajs-2512	84	2	:	:	PUNCT
iajs-2512	84	3	calculate	calculate	VERB
iajs-2512	84	4	the	the	DET
iajs-2512	84	5	mse	mse	NOUN
iajs-2512	84	6	based	base	VERB
iajs-2512	84	7	on	on	ADP
iajs-2512	84	8	(	(	PUNCT
iajs-2512	84	9	l=1000	l=1000	PROPN
iajs-2512	84	10	)	)	PUNCT
iajs-2512	84	11	trials	trial	NOUN
iajs-2512	84	12	as	as	SCONJ
iajs-2512	84	13	follows	follow	VERB
iajs-2512	84	14	:	:	PUNCT
iajs-2512	84	15	mse	mse	NOUN
iajs-2512	84	16	∑	∑	PROPN
iajs-2512	84	17	𝑅	𝑅	PROPN
iajs-2512	84	18	𝑅	𝑅	PROPN
iajs-2512	84	19	7	7	PROPN
iajs-2512	84	20	.	.	PUNCT
iajs-2512	84	21	results	result	NOUN
iajs-2512	84	22	of	of	ADP
iajs-2512	84	23	simulation	simulation	NOUN
iajs-2512	84	24	in	in	ADP
iajs-2512	84	25	this	this	DET
iajs-2512	84	26	section	section	NOUN
iajs-2512	84	27	,	,	PUNCT
iajs-2512	84	28	the	the	DET
iajs-2512	84	29	simulation	simulation	NOUN
iajs-2512	84	30	results	result	NOUN
iajs-2512	84	31	are	be	AUX
iajs-2512	84	32	used	use	VERB
iajs-2512	84	33	to	to	PART
iajs-2512	84	34	determine	determine	VERB
iajs-2512	84	35	the	the	DET
iajs-2512	84	36	best	good	ADJ
iajs-2512	84	37	outcome	outcome	NOUN
iajs-2512	84	38	of	of	ADP
iajs-2512	84	39	the	the	DET
iajs-2512	84	40	conceder	conceder	PROPN
iajs-2512	84	41	estimation	estimation	NOUN
iajs-2512	84	42	methods	method	NOUN
iajs-2512	84	43	(	(	PUNCT
iajs-2512	84	44	𝑀𝐿𝐸	𝑀𝐿𝐸	PROPN
iajs-2512	84	45	,	,	PUNCT
iajs-2512	84	46	umvue	umvue	ADJ
iajs-2512	84	47	,	,	PUNCT
iajs-2512	84	48	ptssse	ptssse	NOUN
iajs-2512	84	49	)	)	PUNCT
iajs-2512	84	50	of	of	ADP
iajs-2512	84	51	cascade	cascade	NOUN
iajs-2512	84	52	reliability	reliability	NOUN
iajs-2512	84	53	model	model	NOUN
iajs-2512	84	54	(	(	PUNCT
iajs-2512	84	55	2	2	NUM
iajs-2512	84	56	+	+	NOUN
iajs-2512	84	57	1	1	NUM
iajs-2512	84	58	)	)	PUNCT
iajs-2512	84	59	estimator	estimator	NOUN
iajs-2512	84	60	based	base	VERB
iajs-2512	84	61	on	on	ADP
iajs-2512	84	62	one	one	NUM
iajs-2512	84	63	parameter	parameter	NOUN
iajs-2512	84	64	ied	ied	PROPN
iajs-2512	84	65	.	.	PUNCT
iajs-2512	85	1	in	in	ADP
iajs-2512	85	2	the	the	DET
iajs-2512	85	3	cascade	cascade	NOUN
iajs-2512	85	4	reliability	reliability	NOUN
iajs-2512	85	5	model	model	NOUN
iajs-2512	85	6	(	(	PUNCT
iajs-2512	85	7	2	2	NUM
iajs-2512	85	8	+	+	NOUN
iajs-2512	85	9	1	1	NUM
iajs-2512	85	10	)	)	PUNCT
iajs-2512	85	11	of	of	AUX
iajs-2512	85	12	estimate	estimate	VERB
iajs-2512	85	13	the	the	DET
iajs-2512	85	14	system	system	NOUN
iajs-2512	85	15	reliability	reliability	NOUN
iajs-2512	85	16	𝑅	𝑅	PROPN
iajs-2512	85	17	𝑝	𝑝	PROPN
iajs-2512	85	18	𝑋	𝑋	PROPN
iajs-2512	85	19	𝑌	𝑌	PROPN
iajs-2512	85	20	,	,	PUNCT
iajs-2512	85	21	𝑋	𝑋	PROPN
iajs-2512	85	22	𝑌	𝑌	PROPN
iajs-2512	85	23	𝑝	𝑝	PROPN
iajs-2512	85	24	𝑋	𝑋	PROPN
iajs-2512	85	25	𝑌	𝑌	PROPN
iajs-2512	85	26	,	,	PUNCT
iajs-2512	85	27	𝑋	𝑋	PROPN
iajs-2512	85	28	𝑌	𝑌	PROPN
iajs-2512	85	29	,	,	PUNCT
iajs-2512	85	30	𝑋	𝑋	PROPN
iajs-2512	85	31	𝑌	𝑌	PROPN
iajs-2512	85	32	𝑝	𝑝	PROPN
iajs-2512	85	33	𝑋	𝑋	PROPN
iajs-2512	85	34	𝑌	𝑌	PROPN
iajs-2512	85	35	,	,	PUNCT
iajs-2512	85	36	𝑋	𝑋	PROPN
iajs-2512	85	37	𝑌	𝑌	PROPN
iajs-2512	85	38	,	,	PUNCT
iajs-2512	85	39	𝑋	𝑋	PROPN
iajs-2512	85	40	𝑌	𝑌	PROPN
iajs-2512	85	41	)	)	PUNCT
iajs-2512	85	42	)	)	PUNCT
iajs-2512	86	1	.the	.the	PRON
iajs-2512	86	2	following	follow	VERB
iajs-2512	86	3	tables	table	NOUN
iajs-2512	86	4	of	of	ADP
iajs-2512	86	5	mean	mean	ADJ
iajs-2512	86	6	square	square	ADJ
iajs-2512	86	7	error	error	NOUN
iajs-2512	86	8	show	show	NOUN
iajs-2512	86	9	,	,	PUNCT
iajs-2512	86	10	at	at	ADP
iajs-2512	86	11	most	most	ADJ
iajs-2512	86	12	the	the	DET
iajs-2512	86	13	orders	order	NOUN
iajs-2512	86	14	rank	rank	NOUN
iajs-2512	86	15	of	of	ADP
iajs-2512	86	16	the	the	DET
iajs-2512	86	17	estimators	estimator	NOUN
iajs-2512	86	18	as	as	SCONJ
iajs-2512	86	19	follows	follow	VERB
iajs-2512	86	20	:	:	PUNCT
iajs-2512	86	21	𝑅	𝑅	PROPN
iajs-2512	86	22	,	,	PUNCT
iajs-2512	86	23	𝑅	𝑅	PROPN
iajs-2512	86	24	and	and	CCONJ
iajs-2512	86	25	𝑅	𝑅	PROPN
iajs-2512	86	26	respectively	respectively	ADV
iajs-2512	86	27	,	,	PUNCT
iajs-2512	86	28	that	that	PRON
iajs-2512	86	29	means	mean	VERB
iajs-2512	86	30	𝑅	𝑅	PROPN
iajs-2512	86	31	is	be	AUX
iajs-2512	86	32	the	the	DET
iajs-2512	86	33	best	good	ADJ
iajs-2512	86	34	than	than	ADP
iajs-2512	86	35	the	the	DET
iajs-2512	86	36	others	other	NOUN
iajs-2512	86	37	estimators	estimator	NOUN
iajs-2512	86	38	.	.	PUNCT
iajs-2512	87	1	the	the	DET
iajs-2512	87	2	following	follow	VERB
iajs-2512	87	3	tables	table	NOUN
iajs-2512	87	4	(	(	PUNCT
iajs-2512	87	5	1	1	NUM
iajs-2512	87	6	-	-	SYM
iajs-2512	87	7	9	9	NUM
iajs-2512	87	8	)	)	PUNCT
iajs-2512	87	9	will	will	AUX
iajs-2512	87	10	present	present	VERB
iajs-2512	87	11	the	the	DET
iajs-2512	87	12	simulation	simulation	NOUN
iajs-2512	87	13	results	result	NOUN
iajs-2512	87	14	.	.	PUNCT
iajs-2512	88	1	𝐓𝐚𝐛𝐥𝐞	𝐓𝐚𝐛𝐥𝐞	PROPN
iajs-2512	88	2	𝟏	𝟏	NUM
iajs-2512	88	3	:	:	PUNCT
iajs-2512	88	4	𝛼	𝛼	PROPN
iajs-2512	88	5	1	1	NUM
iajs-2512	88	6	,	,	PUNCT
iajs-2512	88	7	𝛼	𝛼	PROPN
iajs-2512	88	8	1	1	NUM
iajs-2512	88	9	,	,	PUNCT
iajs-2512	88	10	𝛽	𝛽	NOUN
iajs-2512	88	11	1.5	1.5	NUM
iajs-2512	88	12	,	,	PUNCT
iajs-2512	88	13	𝛽	𝛽	NOUN
iajs-2512	88	14	1.5	1.5	NUM
iajs-2512	88	15	,	,	PUNCT
iajs-2512	88	16	𝑅	𝑅	PROPN
iajs-2512	88	17	0.800000000	0.800000000	NUM
iajs-2512	88	18	mle	mle	PROPN
iajs-2512	88	19	pt	pt	X
iajs-2512	88	20	um	um	INTJ
iajs-2512	88	21	(	(	PUNCT
iajs-2512	88	22	n1	n1	NOUN
iajs-2512	88	23	,	,	PUNCT
iajs-2512	88	24	n2,m1,m2	n2,m1,m2	NOUN
iajs-2512	88	25	)	)	PUNCT
iajs-2512	88	26	m	m	VERB
iajs-2512	88	27	k	k	NOUN
iajs-2512	88	28	0.800055821748313	0.800055821748313	NUM
iajs-2512	88	29	0.800000399098201	0.800000399098201	NUM
iajs-2512	88	30	0.800040031839184	0.800040031839184	NUM
iajs-2512	88	31	(	(	PUNCT
iajs-2512	88	32	20	20	NUM
iajs-2512	88	33	,	,	PUNCT
iajs-2512	88	34	20	20	NUM
iajs-2512	88	35	,	,	PUNCT
iajs-2512	88	36	20	20	NUM
iajs-2512	88	37	,	,	PUNCT
iajs-2512	88	38	20	20	NUM
iajs-2512	88	39	)	)	PUNCT
iajs-2512	88	40	0.2	0.2	NUM
iajs-2512	88	41	1.5	1.5	NUM
iajs-2512	88	42	0.800045359839790	0.800045359839790	NUM
iajs-2512	88	43	0.800000862941454	0.800000862941454	NUM
iajs-2512	88	44	0.800040032049879	0.800040032049879	NUM
iajs-2512	88	45	(	(	PUNCT
iajs-2512	88	46	60,60	60,60	VERB
iajs-2512	88	47	,	,	PUNCT
iajs-2512	88	48	20	20	NUM
iajs-2512	88	49	,	,	PUNCT
iajs-2512	88	50	40	40	NUM
iajs-2512	88	51	)	)	PUNCT
iajs-2512	88	52	0.800053589528536	0.800053589528536	NUM
iajs-2512	88	53	0.799999583412720	0.799999583412720	NUM
iajs-2512	88	54	0.800040032014180	0.800040032014180	NUM
iajs-2512	88	55	(	(	PUNCT
iajs-2512	88	56	40	40	NUM
iajs-2512	88	57	,	,	PUNCT
iajs-2512	88	58	20	20	NUM
iajs-2512	88	59	,	,	PUNCT
iajs-2512	88	60	60	60	NUM
iajs-2512	88	61	,	,	PUNCT
iajs-2512	88	62	60	60	NUM
iajs-2512	88	63	)	)	PUNCT
iajs-2512	88	64	0.5	0.5	NUM
iajs-2512	88	65	1.8	1.8	NUM
iajs-2512	88	66	0.800019751832772	0.800019751832772	NUM
iajs-2512	88	67	0.799999000261255	0.799999000261255	NUM
iajs-2512	88	68	0.800040031806876	0.800040031806876	NUM
iajs-2512	88	69	(	(	PUNCT
iajs-2512	88	70	20,40,60	20,40,60	NUM
iajs-2512	88	71	,	,	PUNCT
iajs-2512	88	72	20	20	NUM
iajs-2512	88	73	)	)	PUNCT
iajs-2512	89	1	0.800033275056292	0.800033275056292	NUM
iajs-2512	89	2	0.799999163925098	0.799999163925098	NUM
iajs-2512	89	3	0.800040032055934	0.800040032055934	NUM
iajs-2512	89	4	(	(	PUNCT
iajs-2512	89	5	40	40	NUM
iajs-2512	89	6	,	,	PUNCT
iajs-2512	89	7	60	60	NUM
iajs-2512	89	8	,	,	PUNCT
iajs-2512	89	9	20	20	NUM
iajs-2512	89	10	,	,	PUNCT
iajs-2512	89	11	40	40	NUM
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iajs-2512	89	13	0.7	0.7	NUM
iajs-2512	89	14	1.3	1.3	NUM
iajs-2512	89	15	0.800056080018052	0.800056080018052	NUM
iajs-2512	90	1	0.800000092631102	0.800000092631102	NUM
iajs-2512	90	2	0.800040032013649	0.800040032013649	NUM
iajs-2512	90	3	(	(	PUNCT
iajs-2512	90	4	60	60	NUM
iajs-2512	90	5	,	,	PUNCT
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iajs-2512	90	7	,	,	PUNCT
iajs-2512	90	8	40	40	NUM
iajs-2512	90	9	,	,	PUNCT
iajs-2512	90	10	60	60	NUM
iajs-2512	90	11	)	)	PUNCT
iajs-2512	90	12	0.800050772085346	0.800050772085346	NUM
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iajs-2512	90	14	0.800040032025629	0.800040032025629	NUM
iajs-2512	90	15	(	(	PUNCT
iajs-2512	90	16	40	40	NUM
iajs-2512	90	17	,	,	PUNCT
iajs-2512	90	18	40	40	NUM
iajs-2512	90	19	,	,	PUNCT
iajs-2512	90	20	40	40	NUM
iajs-2512	90	21	,	,	PUNCT
iajs-2512	90	22	40	40	NUM
iajs-2512	90	23	)	)	PUNCT
iajs-2512	90	24	0.9	0.9	NUM
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iajs-2512	90	26	0.8000403019787380.7999997959707440.800040032025629(60,60,60	0.8000403019787380.7999997959707440.800040032025629(60,60,60	NUM
iajs-2512	90	27	,	,	PUNCT
iajs-2512	90	28	60	60	NUM
iajs-2512	90	29	)	)	PUNCT
iajs-2512	90	30	  	  	SPACE
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iajs-2512	90	32	  	  	SPACE
iajs-2512	90	33	ibn	ibn	PROPN
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iajs-2512	90	36	haitham	haitham	PROPN
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iajs-2512	91	2	pure	pure	ADJ
iajs-2512	91	3	&	&	CCONJ
iajs-2512	91	4	appl	appl	PROPN
iajs-2512	91	5	.	.	PUNCT
iajs-2512	92	1	sci	sci	PROPN
iajs-2512	92	2	.	.	PROPN
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iajs-2512	93	4	)	)	PUNCT
iajs-2512	93	5	2020	2020	NUM
iajs-2512	94	1	𝐓𝐚𝐛𝐥𝐞𝟐	𝐓𝐚𝐛𝐥𝐞𝟐	NOUN
iajs-2512	94	2	:	:	PUNCT
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iajs-2512	94	4	𝛼	𝛼	NOUN
iajs-2512	94	5	1	1	NUM
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iajs-2512	94	13	𝛽	𝛽	PROPN
iajs-2512	94	14	1.5	1.5	NUM
iajs-2512	94	15	  	  	SPACE
iajs-2512	94	16	𝐓𝐚𝐛𝐥𝐞	𝐓𝐚𝐛𝐥𝐞	PROPN
iajs-2512	94	17	𝟑	𝟑	NUM
iajs-2512	94	18	:	:	PUNCT
iajs-2512	94	19	𝛼	𝛼	PROPN
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iajs-2512	94	25	𝛽	𝛽	PROPN
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iajs-2512	94	27	,	,	PUNCT
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iajs-2512	94	36	um	um	INTJ
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iajs-2512	94	39	,	,	PUNCT
iajs-2512	94	40	n2,m1,m2	n2,m1,m2	NOUN
iajs-2512	94	41	)	)	PUNCT
iajs-2512	94	42	m	m	VERB
iajs-2512	94	43	k	k	NOUN
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iajs-2512	94	50	20	20	NUM
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iajs-2512	94	52	20	20	NUM
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iajs-2512	94	54	20	20	NUM
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iajs-2512	94	61	(	(	PUNCT
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iajs-2512	94	65	,	,	PUNCT
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iajs-2512	94	67	)	)	PUNCT
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iajs-2512	95	20	20	20	NUM
iajs-2512	95	21	)	)	PUNCT
iajs-2512	96	1	0.785725567713847	0.785725567713847	NUM
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iajs-2512	96	7	60	60	NUM
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iajs-2512	96	9	20	20	NUM
iajs-2512	96	10	,	,	PUNCT
iajs-2512	96	11	40	40	NUM
iajs-2512	96	12	)	)	PUNCT
iajs-2512	96	13	0.7	0.7	NUM
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iajs-2512	96	16	0.785714534388167	0.785714534388167	NUM
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iajs-2512	96	19	60	60	NUM
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iajs-2512	100	10	pure	pure	ADJ
iajs-2512	100	11	&	&	CCONJ
iajs-2512	100	12	appl	appl	PROPN
iajs-2512	100	13	.	.	PUNCT
iajs-2512	101	1	sci	sci	PROPN
iajs-2512	101	2	.	.	PROPN
iajs-2512	102	1	33	33	NUM
iajs-2512	102	2	(	(	PUNCT
iajs-2512	102	3	4	4	NUM
iajs-2512	102	4	)	)	PUNCT
iajs-2512	102	5	2020	2020	NUM
iajs-2512	103	1	𝐓𝐚𝐛𝐥𝐞	𝐓𝐚𝐛𝐥𝐞	PROPN
iajs-2512	103	2	𝟔	𝟔	NUM
iajs-2512	103	3	:	:	PUNCT
iajs-2512	103	4	𝛼	𝛼	PROPN
iajs-2512	103	5	3	3	NUM
iajs-2512	103	6	,	,	PUNCT
iajs-2512	103	7	𝛼	𝛼	PROPN
iajs-2512	103	8	3	3	NUM
iajs-2512	103	9	,	,	PUNCT
iajs-2512	103	10	𝛽	𝛽	PROPN
iajs-2512	103	11	1	1	NUM
iajs-2512	103	12	,	,	PUNCT
iajs-2512	103	13	𝛽	𝛽	PROPN
iajs-2512	103	14	1	1	NUM
iajs-2512	103	15	  	  	SPACE
iajs-2512	103	16	8	8	NUM
iajs-2512	103	17	.	.	PUNCT
iajs-2512	104	1	conclusion	conclusion	VERB
iajs-2512	104	2	the	the	DET
iajs-2512	104	3	cascade	cascade	NOUN
iajs-2512	104	4	reliability	reliability	NOUN
iajs-2512	104	5	model	model	NOUN
iajs-2512	104	6	(	(	PUNCT
iajs-2512	104	7	2	2	NUM
iajs-2512	104	8	+	+	NOUN
iajs-2512	104	9	1	1	NUM
iajs-2512	104	10	)	)	PUNCT
iajs-2512	104	11	𝑅	𝑅	PROPN
iajs-2512	104	12	𝑝	𝑝	PROPN
iajs-2512	104	13	𝑋	𝑋	PROPN
iajs-2512	104	14	𝑌	𝑌	PROPN
iajs-2512	104	15	,	,	PUNCT
iajs-2512	104	16	𝑋	𝑋	PROPN
iajs-2512	104	17	𝑌	𝑌	PROPN
iajs-2512	104	18	𝑝	𝑝	PROPN
iajs-2512	104	19	𝑋	𝑋	PROPN
iajs-2512	104	20	𝑌	𝑌	PROPN
iajs-2512	104	21	,	,	PUNCT
iajs-2512	104	22	𝑋	𝑋	PROPN
iajs-2512	104	23	𝑌	𝑌	PROPN
iajs-2512	104	24	,	,	PUNCT
iajs-2512	104	25	𝑋	𝑋	PROPN
iajs-2512	104	26	𝑌	𝑌	PROPN
iajs-2512	104	27	𝑝	𝑝	PROPN
iajs-2512	104	28	𝑋	𝑋	PROPN
iajs-2512	104	29	𝑌	𝑌	PROPN
iajs-2512	104	30	,	,	PUNCT
iajs-2512	104	31	𝑋	𝑋	PROPN
iajs-2512	104	32	𝑌	𝑌	PROPN
iajs-2512	104	33	,	,	PUNCT
iajs-2512	104	34	𝑋	𝑋	PROPN
iajs-2512	104	35	𝑌	𝑌	PROPN
iajs-2512	104	36	based	base	VERB
iajs-2512	104	37	on	on	ADP
iajs-2512	104	38	inverted	inverted	ADJ
iajs-2512	104	39	exponential	exponential	ADJ
iajs-2512	104	40	distribution	distribution	NOUN
iajs-2512	104	41	were	be	AUX
iajs-2512	104	42	used	use	VERB
iajs-2512	104	43	in	in	ADP
iajs-2512	104	44	this	this	DET
iajs-2512	104	45	paper	paper	NOUN
iajs-2512	104	46	to	to	PART
iajs-2512	104	47	verify	verify	VERB
iajs-2512	104	48	the	the	DET
iajs-2512	104	49	performance	performance	NOUN
iajs-2512	104	50	of	of	ADP
iajs-2512	104	51	different	different	ADJ
iajs-2512	104	52	estimators	estimator	NOUN
iajs-2512	104	53	which	which	PRON
iajs-2512	104	54	are	be	AUX
iajs-2512	104	55	;	;	PUNCT
iajs-2512	104	56	maximum	maximum	ADJ
iajs-2512	104	57	likelihood	likelihood	NOUN
iajs-2512	104	58	estimation	estimation	NOUN
iajs-2512	104	59	,	,	PUNCT
iajs-2512	104	60	unbiased	unbiased	ADJ
iajs-2512	104	61	estimation	estimation	NOUN
iajs-2512	104	62	method	method	NOUN
iajs-2512	104	63	and	and	CCONJ
iajs-2512	104	64	preliminary	preliminary	ADJ
iajs-2512	104	65	test	test	NOUN
iajs-2512	104	66	single	single	ADJ
iajs-2512	104	67	stage	stage	NOUN
iajs-2512	104	68	shrinkage	shrinkage	NOUN
iajs-2512	104	69	(	(	PUNCT
iajs-2512	104	70	ptsss	ptsss	NOUN
iajs-2512	104	71	)	)	PUNCT
iajs-2512	104	72	estimator	estimator	NOUN
iajs-2512	104	73	using	use	VERB
iajs-2512	104	74	different	different	ADJ
iajs-2512	104	75	samples	sample	NOUN
iajs-2512	104	76	20	20	NUM
iajs-2512	104	77	,	,	PUNCT
iajs-2512	104	78	40	40	NUM
iajs-2512	104	79	,	,	PUNCT
iajs-2512	104	80	and	and	CCONJ
iajs-2512	104	81	60	60	NUM
iajs-2512	104	82	.	.	PUNCT
iajs-2512	105	1	the	the	DET
iajs-2512	105	2	monte	monte	PROPN
iajs-2512	105	3	carlo	carlo	PROPN
iajs-2512	105	4	simulation	simulation	PROPN
iajs-2512	105	5	was	be	AUX
iajs-2512	105	6	exhibited	exhibit	VERB
iajs-2512	105	7	to	to	ADP
iajs-2512	105	8	analyses	analysis	NOUN
iajs-2512	105	9	and	and	CCONJ
iajs-2512	105	10	comparison	comparison	NOUN
iajs-2512	105	11	between	between	ADP
iajs-2512	105	12	these	these	DET
iajs-2512	105	13	methods	method	NOUN
iajs-2512	105	14	.	.	PUNCT
iajs-2512	106	1	the	the	DET
iajs-2512	106	2	results	result	NOUN
iajs-2512	106	3	show	show	VERB
iajs-2512	106	4	that	that	SCONJ
iajs-2512	106	5	the	the	DET
iajs-2512	106	6	performance	performance	NOUN
iajs-2512	106	7	of	of	ADP
iajs-2512	106	8	(	(	PUNCT
iajs-2512	106	9	ptsss	ptsss	NOUN
iajs-2512	106	10	)	)	PUNCT
iajs-2512	106	11	estimator	estimator	NOUN
iajs-2512	106	12	was	be	AUX
iajs-2512	106	13	appropriate	appropriate	ADJ
iajs-2512	106	14	behavior	behavior	NOUN
iajs-2512	106	15	and	and	CCONJ
iajs-2512	106	16	it	it	PRON
iajs-2512	106	17	is	be	AUX
iajs-2512	106	18	efficient	efficient	ADJ
iajs-2512	106	19	estimator	estimator	NOUN
iajs-2512	106	20	than	than	ADP
iajs-2512	106	21	the	the	DET
iajs-2512	106	22	others	other	NOUN
iajs-2512	106	23	in	in	ADP
iajs-2512	106	24	the	the	DET
iajs-2512	106	25	sense	sense	NOUN
iajs-2512	106	26	of	of	ADP
iajs-2512	106	27	𝑀𝑆𝐸	𝑀𝑆𝐸	NOUN
iajs-2512	106	28	at	at	ADV
iajs-2512	106	29	most	most	ADJ
iajs-2512	106	30	.	.	PUNCT
iajs-2512	107	1	while	while	SCONJ
iajs-2512	107	2	𝑅	𝑅	PROPN
iajs-2512	107	3	had	have	VERB
iajs-2512	107	4	the	the	DET
iajs-2512	107	5	second	second	ADJ
iajs-2512	107	6	rank	rank	NOUN
iajs-2512	107	7	and	and	CCONJ
iajs-2512	107	8	followed	follow	VERB
iajs-2512	107	9	by	by	ADP
iajs-2512	107	10	𝑅	𝑅	PROPN
iajs-2512	107	11	.	.	PUNCT
iajs-2512	108	1	references	reference	NOUN
iajs-2512	108	2	1	1	NUM
iajs-2512	108	3	.	.	PUNCT
iajs-2512	109	1	pandit	pandit	PROPN
iajs-2512	109	2	,	,	PUNCT
iajs-2512	109	3	s.	s.	PROPN
iajs-2512	109	4	n.	n.	PROPN
iajs-2512	109	5	n.	n.	PROPN
iajs-2512	109	6	;	;	PUNCT
iajs-2512	109	7	sriwastav	sriwastav	PROPN
iajs-2512	109	8	,	,	PUNCT
iajs-2512	109	9	g.	g.	PROPN
iajs-2512	109	10	l.	l.	PROPN
iajs-2512	109	11	studies	studies	PROPN
iajs-2512	109	12	in	in	ADP
iajs-2512	109	13	cascade	cascade	NOUN
iajs-2512	109	14	reliability	reliability	NOUN
iajs-2512	109	15	i.	i.	PROPN
iajs-2512	109	16	ieee	ieee	PROPN
iajs-2512	109	17	trans	trans	PROPN
iajs-2512	109	18	.	.	PUNCT
iajs-2512	110	1	on	on	ADP
iajs-2512	110	2	reliability.1975	reliability.1975	PROPN
iajs-2512	110	3	,	,	PUNCT
iajs-2512	110	4	24,1	24,1	NUM
iajs-2512	110	5	,	,	PUNCT
iajs-2512	110	6	53	53	NUM
iajs-2512	110	7	-	-	SYM
iajs-2512	110	8	56	56	NUM
iajs-2512	110	9	.	.	NOUN
iajs-2512	110	10	2	2	NUM
iajs-2512	110	11	.	.	X
iajs-2512	110	12	rekha	rekha	PROPN
iajs-2512	110	13	,	,	PUNCT
iajs-2512	110	14	a.	a.	PROPN
iajs-2512	110	15	;	;	PUNCT
iajs-2512	110	16	raju	raju	PROPN
iajs-2512	110	17	,	,	PUNCT
iajs-2512	110	18	v.c	v.c	PROPN
iajs-2512	110	19	.	.	PROPN
iajs-2512	110	20	c.	c.	NOUN
iajs-2512	110	21	cascade	cascade	NOUN
iajs-2512	110	22	system	system	NOUN
iajs-2512	110	23	reliability	reliability	NOUN
iajs-2512	110	24	with	with	ADP
iajs-2512	110	25	rayleigh	rayleigh	PROPN
iajs-2512	110	26	distribution	distribution	NOUN
iajs-2512	110	27	.	.	PUNCT
iajs-2512	111	1	botswana	botswana	PROPN
iajs-2512	111	2	journal	journal	PROPN
iajs-2512	111	3	of	of	ADP
iajs-2512	111	4	technology.1999	technology.1999	PROPN
iajs-2512	111	5	,	,	PUNCT
iajs-2512	111	6	8	8	NUM
iajs-2512	111	7	,	,	PUNCT
iajs-2512	111	8	14	14	NUM
iajs-2512	111	9	-	-	SYM
iajs-2512	111	10	19	19	NUM
iajs-2512	111	11	.	.	NOUN
iajs-2512	111	12	3	3	NUM
iajs-2512	111	13	.	.	X
iajs-2512	111	14	sundar	sundar	NOUN
iajs-2512	111	15	,	,	PUNCT
iajs-2512	111	16	t.	t.	PROPN
iajs-2512	111	17	s.	s.	PROPN
iajs-2512	111	18	case	case	PROPN
iajs-2512	111	19	study	study	NOUN
iajs-2512	111	20	of	of	ADP
iajs-2512	111	21	cascade	cascade	NOUN
iajs-2512	111	22	reliability	reliability	NOUN
iajs-2512	111	23	with	with	ADP
iajs-2512	111	24	rayleigh	rayleigh	ADJ
iajs-2512	111	25	distribution	distribution	NOUN
iajs-2512	111	26	.	.	PUNCT
iajs-2512	112	1	international	international	ADJ
iajs-2512	112	2	journal	journal	PROPN
iajs-2512	112	3	of	of	ADP
iajs-2512	112	4	computer	computer	NOUN
iajs-2512	112	5	technology	technology	NOUN
iajs-2512	112	6	and	and	CCONJ
iajs-2512	112	7	electronics	electronic	NOUN
iajs-2512	112	8	engineering	engineering	NOUN
iajs-2512	112	9	.	.	PUNCT
iajs-2512	113	1	2012	2012	NUM
iajs-2512	113	2	,	,	PUNCT
iajs-2512	113	3	2	2	NUM
iajs-2512	113	4	,	,	PUNCT
iajs-2512	113	5	3	3	NUM
iajs-2512	113	6	,	,	PUNCT
iajs-2512	113	7	78	78	NUM
iajs-2512	113	8	-	-	SYM
iajs-2512	113	9	87	87	NUM
iajs-2512	113	10	.	.	PUNCT
iajs-2512	114	1	4	4	X
iajs-2512	114	2	.	.	X
iajs-2512	114	3	devi	devi	PROPN
iajs-2512	114	4	,	,	PUNCT
iajs-2512	114	5	m.t	m.t	PROPN
iajs-2512	114	6	.	.	PROPN
iajs-2512	114	7	cascade	cascade	NOUN
iajs-2512	114	8	system	system	NOUN
iajs-2512	114	9	reliability	reliability	NOUN
iajs-2512	114	10	with	with	ADP
iajs-2512	114	11	stress	stress	NOUN
iajs-2512	114	12	and	and	CCONJ
iajs-2512	114	13	strength	strength	NOUN
iajs-2512	114	14	follow	follow	NOUN
iajs-2512	114	15	lindley	lindley	NOUN
iajs-2512	114	16	distribution	distribution	NOUN
iajs-2512	114	17	.	.	PUNCT
iajs-2512	115	1	international	international	ADJ
iajs-2512	115	2	journal	journal	NOUN
iajs-2512	115	3	of	of	ADP
iajs-2512	115	4	engineering	engineering	PROPN
iajs-2512	115	5	research	research	NOUN
iajs-2512	115	6	&	&	CCONJ
iajs-2512	115	7	technology	technology	NOUN
iajs-2512	115	8	.	.	PUNCT
iajs-2512	116	1	2016	2016	NUM
iajs-2512	116	2	,	,	PUNCT
iajs-2512	116	3	5	5	NUM
iajs-2512	116	4	,	,	PUNCT
iajs-2512	116	5	09,708	09,708	NUM
iajs-2512	116	6	-	-	SYM
iajs-2512	116	7	714	714	NUM
iajs-2512	116	8	5	5	NUM
iajs-2512	116	9	.	.	PUNCT
iajs-2512	116	10	dong	dong	PROPN
iajs-2512	116	11	,	,	PUNCT
iajs-2512	116	12	h.	h.	PROPN
iajs-2512	116	13	;	;	PUNCT
iajs-2512	116	14	cui	cui	PROPN
iajs-2512	116	15	,	,	PUNCT
iajs-2512	116	16	l.	l.	PROPN
iajs-2512	116	17	system	system	NOUN
iajs-2512	116	18	reliability	reliability	NOUN
iajs-2512	116	19	under	under	ADP
iajs-2512	116	20	cascading	cascade	VERB
iajs-2512	116	21	failure	failure	NOUN
iajs-2512	116	22	models	model	NOUN
iajs-2512	116	23	.	.	PUNCT
iajs-2512	117	1	ieee	ieee	NOUN
iajs-2512	117	2	transactions	transaction	NOUN
iajs-2512	117	3	on	on	ADP
iajs-2512	117	4	reliability	reliability	NOUN
iajs-2512	117	5	.	.	PUNCT
iajs-2512	118	1	2015	2015	NUM
iajs-2512	118	2	,	,	PUNCT
iajs-2512	118	3	65	65	NUM
iajs-2512	118	4	,	,	PUNCT
iajs-2512	118	5	2,1	2,1	NUM
iajs-2512	118	6	-	-	SYM
iajs-2512	118	7	12	12	NUM
iajs-2512	118	8	.	.	NOUN
iajs-2512	119	1	6	6	NUM
iajs-2512	119	2	.	.	X
iajs-2512	119	3	doloi	doloi	NOUN
iajs-2512	119	4	,	,	PUNCT
iajs-2512	119	5	c.	c.	NOUN
iajs-2512	119	6	;	;	PUNCT
iajs-2512	119	7	gogoi	gogoi	PROPN
iajs-2512	119	8	,	,	PUNCT
iajs-2512	119	9	j.	j.	PROPN
iajs-2512	119	10	a	a	DET
iajs-2512	119	11	cascade	cascade	NOUN
iajs-2512	119	12	reliability	reliability	NOUN
iajs-2512	119	13	model	model	NOUN
iajs-2512	119	14	for	for	ADP
iajs-2512	119	15	exponential	exponential	ADJ
iajs-2512	119	16	and	and	CCONJ
iajs-2512	119	17	lindley	lindley	NOUN
iajs-2512	119	18	distributions	distribution	NOUN
iajs-2512	119	19	.	.	PUNCT
iajs-2512	120	1	international	international	ADJ
iajs-2512	120	2	journal	journal	NOUN
iajs-2512	120	3	of	of	ADP
iajs-2512	120	4	advanced	advanced	ADJ
iajs-2512	120	5	research	research	NOUN
iajs-2512	120	6	.	.	PUNCT
iajs-2512	121	1	2017	2017	NUM
iajs-2512	121	2	,	,	PUNCT
iajs-2512	121	3	5	5	NUM
iajs-2512	121	4	,	,	PUNCT
iajs-2512	121	5	4	4	NUM
iajs-2512	121	6	,	,	PUNCT
iajs-2512	121	7	43	43	NUM
iajs-2512	121	8	-	-	SYM
iajs-2512	121	9	54	54	NUM
iajs-2512	121	10	.	.	PUNCT
iajs-2512	122	1	7	7	X
iajs-2512	122	2	.	.	X
iajs-2512	122	3	reddy	reddy	PROPN
iajs-2512	122	4	,	,	PUNCT
iajs-2512	122	5	d.	d.	PROPN
iajs-2512	122	6	cascade	cascade	NOUN
iajs-2512	122	7	and	and	CCONJ
iajs-2512	122	8	system	system	NOUN
iajs-2512	122	9	reliability	reliability	NOUN
iajs-2512	122	10	for	for	ADP
iajs-2512	122	11	exponential	exponential	ADJ
iajs-2512	122	12	distributions	distribution	NOUN
iajs-2512	122	13	.	.	PUNCT
iajs-2512	123	1	dj	dj	X
iajs-2512	123	2	journal	journal	PROPN
iajs-2512	123	3	of	of	ADP
iajs-2512	123	4	engineering	engineering	NOUN
iajs-2512	123	5	and	and	CCONJ
iajs-2512	123	6	applied	apply	VERB
iajs-2512	123	7	mathematics	mathematic	NOUN
iajs-2512	123	8	.	.	PUNCT
iajs-2512	124	1	2016	2016	NUM
iajs-2512	124	2	,	,	PUNCT
iajs-2512	124	3	2	2	NUM
iajs-2512	124	4	,	,	PUNCT
iajs-2512	124	5	2	2	NUM
iajs-2512	124	6	,	,	PUNCT
iajs-2512	124	7	1	1	NUM
iajs-2512	124	8	-	-	SYM
iajs-2512	124	9	8	8	NUM
iajs-2512	124	10	.	.	NOUN
iajs-2512	124	11	8	8	NUM
iajs-2512	124	12	.	.	PUNCT
iajs-2512	124	13	kanaparthi	kanaparthi	PROPN
iajs-2512	124	14	,	,	PUNCT
iajs-2512	124	15	r.	r.	PROPN
iajs-2512	124	16	;	;	PUNCT
iajs-2512	124	17	palakurthi	palakurthi	PROPN
iajs-2512	124	18	,	,	PUNCT
iajs-2512	124	19	j.	j.	PROPN
iajs-2512	124	20	;	;	PUNCT
iajs-2512	124	21	sanka	sanka	PROPN
iajs-2512	124	22	,	,	PUNCT
iajs-2512	124	23	l.n.g.d	l.n.g.d	PROPN
iajs-2512	124	24	.	.	NOUN
iajs-2512	124	25	cascade	cascade	NOUN
iajs-2512	124	26	and	and	CCONJ
iajs-2512	124	27	system	system	NOUN
iajs-2512	124	28	reliability	reliability	NOUN
iajs-2512	124	29	for	for	ADP
iajs-2512	124	30	the	the	DET
iajs-2512	124	31	new	new	ADJ
iajs-2512	124	32	rayleigh	rayleigh	PROPN
iajs-2512	124	33	-	-	PUNCT
iajs-2512	124	34	pareto	pareto	ADJ
iajs-2512	124	35	distribution	distribution	NOUN
iajs-2512	124	36	.	.	PUNCT
iajs-2512	125	1	international	international	ADJ
iajs-2512	125	2	journal	journal	PROPN
iajs-2512	125	3	of	of	ADP
iajs-2512	125	4	science	science	NOUN
iajs-2512	125	5	and	and	CCONJ
iajs-2512	125	6	research	research	NOUN
iajs-2512	125	7	.	.	PUNCT
iajs-2512	126	1	2019	2019	NUM
iajs-2512	126	2	,	,	PUNCT
iajs-2512	126	3	8	8	NUM
iajs-2512	126	4	,	,	PUNCT
iajs-2512	126	5	2	2	NUM
iajs-2512	126	6	,	,	PUNCT
iajs-2512	126	7	18651867	18651867	NUM
iajs-2512	126	8	.	.	PUNCT
iajs-2512	127	1	mle	mle	PROPN
iajs-2512	127	2	pt	pt	PROPN
iajs-2512	127	3	um	um	INTJ
iajs-2512	127	4	n1,n2,m1,m2	n1,n2,m1,m2	PROPN
iajs-2512	127	5	)	)	PUNCT
iajs-2512	127	6	m	m	VERB
iajs-2512	128	1	k	k	X
iajs-2512	128	2	0.000000239325138	0.000000239325138	NUM
iajs-2512	128	3	0.000000003234843	0.000000003234843	NUM
iajs-2512	128	4	0.000000003910152	0.000000003910152	NUM
iajs-2512	128	5	(	(	PUNCT
iajs-2512	128	6	20	20	NUM
iajs-2512	128	7	,	,	PUNCT
iajs-2512	128	8	20	20	NUM
iajs-2512	128	9	,	,	PUNCT
iajs-2512	128	10	20	20	NUM
iajs-2512	128	11	,	,	PUNCT
iajs-2512	128	12	20	20	NUM
iajs-2512	128	13	)	)	PUNCT
iajs-2512	128	14	0.2	0.2	NUM
iajs-2512	128	15	1.5	1.5	NUM
iajs-2512	128	16	0.000000085454692	0.000000085454692	NUM
iajs-2512	128	17	0.000000001870957	0.000000001870957	NUM
iajs-2512	128	18	0.000000003910184	0.000000003910184	NUM
iajs-2512	128	19	(	(	PUNCT
iajs-2512	128	20	60,60	60,60	VERB
iajs-2512	128	21	,	,	PUNCT
iajs-2512	128	22	20	20	NUM
iajs-2512	128	23	,	,	PUNCT
iajs-2512	128	24	40	40	NUM
iajs-2512	128	25	)	)	PUNCT
iajs-2512	128	26	0.000000045087534	0.000000045087534	NUM
iajs-2512	128	27	0.000000001122373	0.000000001122373	NUM
iajs-2512	128	28	0.000000003910162	0.000000003910162	NUM
iajs-2512	128	29	(	(	PUNCT
iajs-2512	128	30	40	40	NUM
iajs-2512	128	31	,	,	PUNCT
iajs-2512	128	32	20	20	NUM
iajs-2512	128	33	,	,	PUNCT
iajs-2512	128	34	60	60	NUM
iajs-2512	128	35	,	,	PUNCT
iajs-2512	128	36	60	60	NUM
iajs-2512	128	37	)	)	PUNCT
iajs-2512	128	38	0.5	0.5	NUM
iajs-2512	128	39	1.8	1.8	NUM
iajs-2512	128	40	0.000000181399978	0.000000181399978	NUM
iajs-2512	128	41	0.000000002522772	0.000000002522772	NUM
iajs-2512	128	42	0.000000003910119	0.000000003910119	NUM
iajs-2512	128	43	(	(	PUNCT
iajs-2512	128	44	20,40,60	20,40,60	NUM
iajs-2512	128	45	,	,	PUNCT
iajs-2512	128	46	20	20	NUM
iajs-2512	128	47	)	)	PUNCT
iajs-2512	128	48	0.000000189712498	0.000000189712498	NUM
iajs-2512	128	49	0.000000001857193	0.000000001857193	NUM
iajs-2512	128	50	0.000000003910184	0.000000003910184	NUM
iajs-2512	128	51	(	(	PUNCT
iajs-2512	128	52	40	40	NUM
iajs-2512	128	53	,	,	PUNCT
iajs-2512	128	54	60	60	NUM
iajs-2512	128	55	,	,	PUNCT
iajs-2512	128	56	20	20	NUM
iajs-2512	128	57	,	,	PUNCT
iajs-2512	128	58	40	40	NUM
iajs-2512	128	59	)	)	PUNCT
iajs-2512	128	60	0.7	0.7	NUM
iajs-2512	128	61	1.3	1.3	NUM
iajs-2512	128	62	0.000000030728521	0.000000030728521	NUM
iajs-2512	128	63	0.000000001040114	0.000000001040114	NUM
iajs-2512	128	64	0.000000003910159	0.000000003910159	NUM
iajs-2512	128	65	(	(	PUNCT
iajs-2512	128	66	60	60	NUM
iajs-2512	128	67	,	,	PUNCT
iajs-2512	128	68	20	20	NUM
iajs-2512	128	69	,	,	PUNCT
iajs-2512	128	70	40	40	NUM
iajs-2512	128	71	,	,	PUNCT
iajs-2512	128	72	60	60	NUM
iajs-2512	128	73	)	)	PUNCT
iajs-2512	128	74	0.000000056503599	0.000000056503599	NUM
iajs-2512	128	75	0.000000001408268	0.000000001408268	NUM
iajs-2512	128	76	0.000000003910159	0.000000003910159	NUM
iajs-2512	128	77	(	(	PUNCT
iajs-2512	128	78	40	40	NUM
iajs-2512	128	79	,	,	PUNCT
iajs-2512	128	80	40	40	NUM
iajs-2512	128	81	,	,	PUNCT
iajs-2512	128	82	40	40	NUM
iajs-2512	128	83	,	,	PUNCT
iajs-2512	128	84	40	40	NUM
iajs-2512	128	85	)	)	PUNCT
iajs-2512	128	86	0.9	0.9	NUM
iajs-2512	128	87	1.1	1.1	NUM
iajs-2512	129	1	0.000000038498170	0.000000038498170	NUM
iajs-2512	129	2	0.000000000964106	0.000000000964106	NUM
iajs-2512	129	3	0.000000003910159	0.000000003910159	NUM
iajs-2512	129	4	(	(	PUNCT
iajs-2512	129	5	60,60,60,60	60,60,60,60	NUM
iajs-2512	129	6	  	  	SPACE
iajs-2512	129	7	91	91	NUM
iajs-2512	129	8	  	  	SPACE
iajs-2512	129	9	ibn	ibn	PROPN
iajs-2512	129	10	al	al	PROPN
iajs-2512	129	11	-	-	PUNCT
iajs-2512	129	12	haitham	haitham	PROPN
iajs-2512	129	13	jour	jour	X
iajs-2512	129	14	.	.	PROPN
iajs-2512	130	1	for	for	ADP
iajs-2512	130	2	pure	pure	ADJ
iajs-2512	130	3	&	&	CCONJ
iajs-2512	130	4	appl	appl	PROPN
iajs-2512	130	5	.	.	PUNCT
iajs-2512	131	1	sci	sci	PROPN
iajs-2512	131	2	.	.	PROPN
iajs-2512	132	1	33	33	NUM
iajs-2512	132	2	(	(	PUNCT
iajs-2512	132	3	4	4	NUM
iajs-2512	132	4	)	)	PUNCT
iajs-2512	132	5	2020	2020	NUM
iajs-2512	132	6	9	9	NUM
iajs-2512	132	7	.	.	X
iajs-2512	132	8	salman	salman	PROPN
iajs-2512	132	9	,	,	PUNCT
iajs-2512	132	10	a.s	a.s	PROPN
iajs-2512	132	11	.	.	PROPN
iajs-2512	132	12	;	;	PUNCT
iajs-2512	132	13	ali	ali	PROPN
iajs-2512	132	14	,	,	PUNCT
iajs-2512	132	15	a.h	a.h	PROPN
iajs-2512	132	16	;	;	PUNCT
iajs-2512	132	17	salman	salman	PROPN
iajs-2512	132	18	,	,	PUNCT
iajs-2512	132	19	m.d	m.d	PROPN
iajs-2512	132	20	.	.	PROPN
iajs-2512	132	21	preliminary	preliminary	ADJ
iajs-2512	132	22	test	test	NOUN
iajs-2512	132	23	single	single	ADJ
iajs-2512	132	24	stage	stage	NOUN
iajs-2512	132	25	shrinkage	shrinkage	NOUN
iajs-2512	132	26	estimator	estimator	NOUN
iajs-2512	132	27	for	for	ADP
iajs-2512	132	28	the	the	DET
iajs-2512	132	29	scale	scale	NOUN
iajs-2512	132	30	parameter	parameter	NOUN
iajs-2512	132	31	of	of	ADP
iajs-2512	132	32	gamma	gamma	NOUN
iajs-2512	132	33	distribution	distribution	NOUN
iajs-2512	132	34	.	.	PUNCT
iajs-2512	133	1	american	american	ADJ
iajs-2512	133	2	journal	journal	PROPN
iajs-2512	133	3	of	of	ADP
iajs-2512	133	4	mathematics	mathematic	NOUN
iajs-2512	133	5	and	and	CCONJ
iajs-2512	133	6	statistics	statistic	NOUN
iajs-2512	133	7	.	.	PUNCT
iajs-2512	134	1	2014	2014	NUM
iajs-2512	134	2	,	,	PUNCT
iajs-2512	134	3	4	4	NUM
iajs-2512	134	4	,	,	PUNCT
iajs-2512	134	5	3	3	NUM
iajs-2512	134	6	,	,	PUNCT
iajs-2512	134	7	131	131	NUM
iajs-2512	134	8	-	-	SYM
iajs-2512	134	9	136	136	NUM
iajs-2512	134	10	.	.	PUNCT
iajs-2512	135	1	10	10	NUM
iajs-2512	135	2	.	.	X
iajs-2512	136	1	salman	salman	PROPN
iajs-2512	136	2	,	,	PUNCT
iajs-2512	136	3	a.s	a.s	PROPN
iajs-2512	136	4	.	.	PROPN
iajs-2512	136	5	,	,	PUNCT
iajs-2512	136	6	hadi	hadi	PROPN
iajs-2512	136	7	,	,	PUNCT
iajs-2512	136	8	r.a	r.a	PROPN
iajs-2512	136	9	.	.	PROPN
iajs-2512	136	10	preliminary	preliminary	ADJ
iajs-2512	136	11	test	test	NOUN
iajs-2512	136	12	shrinkage	shrinkage	NOUN
iajs-2512	136	13	estimators	estimator	NOUN
iajs-2512	136	14	for	for	ADP
iajs-2512	136	15	the	the	DET
iajs-2512	136	16	shape	shape	NOUN
iajs-2512	136	17	parameter	parameter	NOUN
iajs-2512	136	18	of	of	ADP
iajs-2512	136	19	generalized	generalized	ADJ
iajs-2512	136	20	exponential	exponential	ADJ
iajs-2512	136	21	distribution	distribution	NOUN
iajs-2512	136	22	.	.	PUNCT
iajs-2512	137	1	international	international	ADJ
iajs-2512	137	2	journal	journal	NOUN
iajs-2512	137	3	of	of	ADP
iajs-2512	137	4	applied	apply	VERB
iajs-2512	137	5	mathematical	mathematical	ADJ
iajs-2512	137	6	research.2016	research.2016	PROPN
iajs-2512	137	7	,	,	PUNCT
iajs-2512	137	8	5	5	NUM
iajs-2512	137	9	,	,	PUNCT
iajs-2512	137	10	4	4	NUM
iajs-2512	137	11	,	,	PUNCT
iajs-2512	137	12	162	162	NUM
iajs-2512	137	13	-	-	SYM
iajs-2512	137	14	166	166	NUM
iajs-2512	137	15	.	.	PUNCT
iajs-2512	138	1	11	11	NUM
iajs-2512	138	2	.	.	X
iajs-2512	139	1	salman	salman	PROPN
iajs-2512	139	2	,	,	PUNCT
iajs-2512	139	3	a.s	a.s	PROPN
iajs-2512	139	4	.	.	PROPN
iajs-2512	139	5	;	;	PUNCT
iajs-2512	140	1	hamad	hamad	PROPN
iajs-2512	140	2	,	,	PUNCT
iajs-2512	140	3	a.	a.	NOUN
iajs-2512	140	4	m.	m.	NOUN
iajs-2512	140	5	;	;	PUNCT
iajs-2512	140	6	abdul	abdul	PROPN
iajs-2512	140	7	-	-	PUNCT
iajs-2512	140	8	nabi	nabi	PROPN
iajs-2512	140	9	,	,	PUNCT
iajs-2512	140	10	a.	a.	PROPN
iajs-2512	140	11	i.	i.	PROPN
iajs-2512	140	12	pretest	pret	ADJ
iajs-2512	140	13	single	single	ADJ
iajs-2512	140	14	stage	stage	NOUN
iajs-2512	140	15	shrinkage	shrinkage	NOUN
iajs-2512	140	16	estimator	estimator	NOUN
iajs-2512	140	17	for	for	ADP
iajs-2512	140	18	the	the	DET
iajs-2512	140	19	shape	shape	NOUN
iajs-2512	140	20	parameter	parameter	NOUN
iajs-2512	140	21	of	of	ADP
iajs-2512	140	22	the	the	DET
iajs-2512	140	23	power	power	NOUN
iajs-2512	140	24	function	function	NOUN
iajs-2512	140	25	distribution	distribution	NOUN
iajs-2512	140	26	.	.	PUNCT
iajs-2512	141	1	international	international	ADJ
iajs-2512	141	2	journal	journal	PROPN
iajs-2512	141	3	of	of	ADP
iajs-2512	141	4	mathematics	mathematics	NOUN
iajs-2512	141	5	trends	trend	NOUN
iajs-2512	141	6	and	and	CCONJ
iajs-2512	141	7	technology	technology	NOUN
iajs-2512	141	8	.	.	PUNCT
iajs-2512	142	1	2016	2016	NUM
iajs-2512	142	2	,	,	PUNCT
iajs-2512	142	3	63	63	NUM
iajs-2512	142	4	,	,	PUNCT
iajs-2512	142	5	1	1	NUM
iajs-2512	142	6	,	,	PUNCT
iajs-2512	142	7	56	56	NUM
iajs-2512	142	8	-	-	SYM
iajs-2512	142	9	59	59	NUM
iajs-2512	142	10	.	.	PUNCT
iajs-2512	143	1	12	12	NUM
iajs-2512	143	2	.	.	PUNCT
iajs-2512	144	1	salman	salman	PROPN
iajs-2512	144	2	,	,	PUNCT
iajs-2512	144	3	a.s	a.s	PROPN
iajs-2512	144	4	.	.	PROPN
iajs-2512	144	5	;	;	PUNCT
iajs-2512	144	6	hassoun	hassoun	PROPN
iajs-2512	144	7	,	,	PUNCT
iajs-2512	144	8	i.o	i.o	PROPN
iajs-2512	144	9	.	.	PROPN
iajs-2512	145	1	an	an	DET
iajs-2512	145	2	efficient	efficient	ADJ
iajs-2512	145	3	single	single	ADJ
iajs-2512	145	4	stage	stage	NOUN
iajs-2512	145	5	shrinkage	shrinkage	NOUN
iajs-2512	145	6	estimator	estimator	NOUN
iajs-2512	145	7	for	for	ADP
iajs-2512	145	8	the	the	DET
iajs-2512	145	9	scale	scale	NOUN
iajs-2512	145	10	parameter	parameter	NOUN
iajs-2512	145	11	of	of	ADP
iajs-2512	145	12	inverted	inverted	ADJ
iajs-2512	145	13	gamma	gamma	NOUN
iajs-2512	145	14	distribution	distribution	NOUN
iajs-2512	145	15	.	.	PUNCT
iajs-2512	146	1	ibn	ibn	PROPN
iajs-2512	146	2	al	al	PROPN
iajs-2512	146	3	-	-	PUNCT
iajs-2512	146	4	haitham	haitham	PROPN
iajs-2512	146	5	j.	j.	PROPN
iajs-2512	146	6	for	for	ADP
iajs-2512	146	7	pure	pure	PROPN
iajs-2512	146	8	&	&	CCONJ
iajs-2512	146	9	appl	appl	PROPN
iajs-2512	146	10	.	.	PUNCT
iajs-2512	147	1	sci	sci	PROPN
iajs-2512	147	2	.	.	PROPN
iajs-2512	147	3	2017	2017	NUM
iajs-2512	147	4	,	,	PUNCT
iajs-2512	147	5	30	30	NUM
iajs-2512	147	6	,	,	PUNCT
iajs-2512	147	7	1	1	NUM
iajs-2512	147	8	,	,	PUNCT
iajs-2512	147	9	169	169	NUM
iajs-2512	147	10	-	-	SYM
iajs-2512	147	11	176	176	NUM
iajs-2512	147	12	.	.	PUNCT
iajs-2512	147	13	13	13	NUM
iajs-2512	147	14	.	.	PUNCT
iajs-2512	147	15	killer	killer	NOUN
iajs-2512	147	16	,	,	PUNCT
iajs-2512	147	17	a.	a.	PROPN
iajs-2512	147	18	z.	z.	PROPN
iajs-2512	147	19	;	;	PUNCT
iajs-2512	147	20	kamath	kamath	PROPN
iajs-2512	147	21	,	,	PUNCT
iajs-2512	147	22	a.	a.	PROPN
iajs-2512	147	23	r.	r.	PROPN
iajs-2512	147	24	reliability	reliability	NOUN
iajs-2512	147	25	analysis	analysis	NOUN
iajs-2512	147	26	of	of	ADP
iajs-2512	147	27	cnc	cnc	ADJ
iajs-2512	147	28	machine	machine	NOUN
iajs-2512	147	29	tools	tool	NOUN
iajs-2512	147	30	.	.	PUNCT
iajs-2512	148	1	reliability	reliability	NOUN
iajs-2512	148	2	engineering	engineering	NOUN
iajs-2512	148	3	.	.	PUNCT
iajs-2512	149	1	1982	1982	NUM
iajs-2512	149	2	,	,	PUNCT
iajs-2512	149	3	3	3	NUM
iajs-2512	149	4	,	,	PUNCT
iajs-2512	149	5	449–473	449–473	NUM
iajs-2512	149	6	.	.	PUNCT
iajs-2512	150	1	14	14	NUM
iajs-2512	150	2	.	.	PUNCT
iajs-2512	151	1	tawfiq	tawfiq	PROPN
iajs-2512	151	2	,	,	PUNCT
iajs-2512	151	3	lnm	lnm	PROPN
iajs-2512	151	4	;	;	PUNCT
iajs-2512	151	5	oraibi	oraibi	PROPN
iajs-2512	151	6	.	.	PUNCT
iajs-2512	152	1	ya	ya	INTJ
iajs-2512	152	2	.	.	PUNCT
iajs-2512	153	1	fast	fast	ADJ
iajs-2512	153	2	training	training	NOUN
iajs-2512	153	3	algorithms	algorithm	NOUN
iajs-2512	153	4	for	for	ADP
iajs-2512	153	5	feed	feed	NOUN
iajs-2512	153	6	forward	forward	ADV
iajs-2512	153	7	neural	neural	ADJ
iajs-2512	153	8	networks	network	NOUN
iajs-2512	153	9	.	.	PUNCT
iajs-2512	154	1	ibn	ibn	PROPN
iajs-2512	154	2	al	al	PROPN
iajs-2512	154	3	-	-	PUNCT
iajs-2512	154	4	haitham	haitham	PROPN
iajs-2512	154	5	journal	journal	PROPN
iajs-2512	154	6	for	for	ADP
iajs-2512	154	7	pure	pure	ADJ
iajs-2512	154	8	and	and	CCONJ
iajs-2512	154	9	applied	applied	ADJ
iajs-2512	154	10	science	science	NOUN
iajs-2512	154	11	.	.	PUNCT
iajs-2512	155	1	2017	2017	NUM
iajs-2512	155	2	,	,	PUNCT
iajs-2512	155	3	26	26	NUM
iajs-2512	155	4	,	,	PUNCT
iajs-2512	155	5	1	1	NUM
iajs-2512	155	6	:	:	SYM
iajs-2512	155	7	12751280	12751280	NUM
iajs-2512	155	8	.	.	PUNCT
iajs-2512	156	1	15	15	NUM
iajs-2512	156	2	.	.	X
iajs-2512	157	1	singh	singh	PROPN
iajs-2512	157	2	,	,	PUNCT
iajs-2512	157	3	s.k	s.k	PROPN
iajs-2512	157	4	.	.	PROPN
iajs-2512	157	5	;	;	PUNCT
iajs-2512	157	6	singh	singh	PROPN
iajs-2512	157	7	,	,	PUNCT
iajs-2512	157	8	u.	u.	PROPN
iajs-2512	157	9	;	;	PUNCT
iajs-2512	157	10	kumar	kumar	PROPN
iajs-2512	157	11	,	,	PUNCT
iajs-2512	157	12	d.	d.	PROPN
iajs-2512	157	13	bayes	bayes	PROPN
iajs-2512	157	14	estimators	estimator	NOUN
iajs-2512	157	15	of	of	ADP
iajs-2512	157	16	the	the	DET
iajs-2512	157	17	reliability	reliability	NOUN
iajs-2512	157	18	function	function	NOUN
iajs-2512	157	19	and	and	CCONJ
iajs-2512	157	20	parameter	parameter	NOUN
iajs-2512	157	21	of	of	ADP
iajs-2512	157	22	inverted	inverted	ADJ
iajs-2512	157	23	exponential	exponential	ADJ
iajs-2512	157	24	distribution	distribution	NOUN
iajs-2512	157	25	using	use	VERB
iajs-2512	157	26	informative	informative	ADJ
iajs-2512	157	27	and	and	CCONJ
iajs-2512	157	28	non	non	ADJ
iajs-2512	157	29	-	-	ADJ
iajs-2512	157	30	informative	informative	ADJ
iajs-2512	157	31	priors	prior	NOUN
iajs-2512	157	32	.	.	PUNCT
iajs-2512	158	1	journal	journal	NOUN
iajs-2512	158	2	of	of	ADP
iajs-2512	158	3	statistical	statistical	ADJ
iajs-2512	158	4	computation	computation	NOUN
iajs-2512	158	5	and	and	CCONJ
iajs-2512	158	6	simulation.2013	simulation.2013	PROPN
iajs-2512	158	7	,	,	PUNCT
iajs-2512	158	8	83,12	83,12	NOUN
iajs-2512	158	9	,	,	PUNCT
iajs-2512	158	10	2258	2258	NUM
iajs-2512	158	11	-	-	SYM
iajs-2512	158	12	2269	2269	NUM
iajs-2512	158	13	.	.	PUNCT
iajs-2512	159	1	16	16	NUM
iajs-2512	159	2	.	.	PUNCT
iajs-2512	159	3	oguntunde	oguntunde	PROPN
iajs-2512	159	4	,	,	PUNCT
iajs-2512	159	5	p.e	p.e	PROPN
iajs-2512	159	6	.	.	PROPN
iajs-2512	159	7	;	;	PUNCT
iajs-2512	159	8	adejumo	adejumo	PROPN
iajs-2512	159	9	,	,	PUNCT
iajs-2512	159	10	a.	a.	NOUN
iajs-2512	159	11	;	;	PUNCT
iajs-2512	159	12	balogun	balogun	VERB
iajs-2512	159	13	,	,	PUNCT
iajs-2512	159	14	o.s	o.s	PROPN
iajs-2512	159	15	.	.	PROPN
iajs-2512	159	16	statistical	statistical	ADJ
iajs-2512	159	17	properties	property	NOUN
iajs-2512	159	18	of	of	ADP
iajs-2512	159	19	the	the	DET
iajs-2512	159	20	exponentiated	exponentiated	ADJ
iajs-2512	159	21	generalized	generalize	VERB
iajs-2512	159	22	inverted	inverted	ADJ
iajs-2512	159	23	exponential	exponential	ADJ
iajs-2512	159	24	distribution	distribution	NOUN
iajs-2512	159	25	.	.	PUNCT
iajs-2512	160	1	applied	apply	VERB
iajs-2512	160	2	mathematics	mathematic	NOUN
iajs-2512	160	3	.	.	PUNCT
iajs-2512	161	1	2014	2014	NUM
iajs-2512	161	2	,	,	PUNCT
iajs-2512	161	3	4	4	NUM
iajs-2512	161	4	,	,	PUNCT
iajs-2512	161	5	2	2	NUM
iajs-2512	161	6	,	,	PUNCT
iajs-2512	161	7	47	47	NUM
iajs-2512	161	8	-	-	SYM
iajs-2512	161	9	55	55	NUM
iajs-2512	161	10	.	.	PUNCT
iajs-2512	162	1	17	17	NUM
iajs-2512	162	2	.	.	PUNCT
iajs-2512	163	1	singh	singh	PROPN
iajs-2512	163	2	,	,	PUNCT
iajs-2512	163	3	s.k	s.k	PROPN
iajs-2512	163	4	;	;	PUNCT
iajs-2512	163	5	singh	singh	PROPN
iajs-2512	163	6	,	,	PUNCT
iajs-2512	163	7	u.;yaday	u.;yaday	NOUN
iajs-2512	163	8	,	,	PUNCT
iajs-2512	163	9	a,;viswkarma	a,;viswkarma	PROPN
iajs-2512	163	10	,	,	PUNCT
iajs-2512	163	11	p.k	p.k	PROPN
iajs-2512	163	12	.	.	PROPN
iajs-2512	164	1	on	on	ADP
iajs-2512	164	2	the	the	DET
iajs-2512	164	3	estimation	estimation	NOUN
iajs-2512	164	4	of	of	ADP
iajs-2512	164	5	stress	stress	NOUN
iajs-2512	164	6	strength	strength	NOUN
iajs-2512	164	7	reliability	reliability	NOUN
iajs-2512	164	8	parameter	parameter	NOUN
iajs-2512	164	9	of	of	ADP
iajs-2512	164	10	inverted	inverted	ADJ
iajs-2512	164	11	exponential	exponential	ADJ
iajs-2512	164	12	distribution	distribution	NOUN
iajs-2512	164	13	.	.	PUNCT
iajs-2512	165	1	international	international	ADJ
iajs-2512	165	2	journal	journal	NOUN
iajs-2512	165	3	of	of	ADP
iajs-2512	165	4	scientific	scientific	ADJ
iajs-2512	165	5	world	world	NOUN
iajs-2512	165	6	,	,	PUNCT
iajs-2512	165	7	2015	2015	NUM
iajs-2512	165	8	,	,	PUNCT
iajs-2512	165	9	3	3	NUM
iajs-2512	165	10	,	,	PUNCT
iajs-2512	165	11	1	1	NUM
iajs-2512	165	12	,	,	PUNCT
iajs-2512	165	13	98	98	NUM
iajs-2512	165	14	-	-	SYM
iajs-2512	165	15	112	112	NUM
iajs-2512	165	16	.	.	PUNCT
iajs-2512	165	17	18	18	NUM
iajs-2512	165	18	.	.	PUNCT
iajs-2512	166	1	devor	devor	PROPN
iajs-2512	166	2	,	,	PUNCT
iajs-2512	166	3	j.l	j.l	PROPN
iajs-2512	166	4	.	.	PROPN
iajs-2512	166	5	;	;	PUNCT
iajs-2512	166	6	berk	berk	PROPN
iajs-2512	166	7	,	,	PUNCT
iajs-2512	166	8	k.n	k.n	PROPN
iajs-2512	166	9	.	.	PROPN
iajs-2512	166	10	modern	modern	ADJ
iajs-2512	166	11	mathematical	mathematical	ADJ
iajs-2512	166	12	statistics	statistic	NOUN
iajs-2512	166	13	with	with	ADP
iajs-2512	166	14	applications	application	NOUN
iajs-2512	166	15	.	.	PUNCT
iajs-2512	167	1	2012	2012	NUM
iajs-2512	167	2	,	,	PUNCT
iajs-2512	167	3	second	second	ADJ
iajs-2512	167	4	edition	edition	NOUN
iajs-2512	167	5	,	,	PUNCT
iajs-2512	167	6	springer	springer	NOUN
iajs-2512	167	7	texts	text	NOUN
iajs-2512	167	8	in	in	ADP
iajs-2512	167	9	statistics	statistic	NOUN
iajs-2512	167	10	.	.	PUNCT