id	sid	tid	token	lemma	pos
iajs-1814	1	1	microsoft	microsoft	PROPN
iajs-1814	1	2	word	word	NOUN
iajs-1814	1	3	409	409	NUM
iajs-1814	1	4	-	-	SYM
iajs-1814	1	5	419	419	NUM
iajs-1814	1	6	ihsciconf	ihsciconf	NOUN
iajs-1814	1	7	2017	2017	NUM
iajs-1814	1	8	special	special	ADJ
iajs-1814	1	9	issue	issue	NOUN
iajs-1814	1	10	ibn	ibn	PROPN
iajs-1814	1	11	al	al	PROPN
iajs-1814	1	12	-	-	PUNCT
iajs-1814	1	13	haitham	haitham	PROPN
iajs-1814	1	14	journal	journal	PROPN
iajs-1814	1	15	for	for	ADP
iajs-1814	1	16	pure	pure	ADJ
iajs-1814	1	17	and	and	CCONJ
iajs-1814	1	18	applied	apply	VERB
iajs-1814	1	19	science	science	NOUN
iajs-1814	1	20	https://doi.org/	https://doi.org/	NOUN
iajs-1814	1	21	10.30526/2017.ihsciconf.1814	10.30526/2017.ihsciconf.1814	NUM
iajs-1814	1	22	for	for	ADP
iajs-1814	1	23	more	more	ADJ
iajs-1814	1	24	information	information	NOUN
iajs-1814	1	25	about	about	ADP
iajs-1814	1	26	the	the	DET
iajs-1814	1	27	conference	conference	NOUN
iajs-1814	1	28	please	please	INTJ
iajs-1814	1	29	visit	visit	VERB
iajs-1814	1	30	the	the	DET
iajs-1814	1	31	websites	website	NOUN
iajs-1814	1	32	:	:	PUNCT
iajs-1814	1	33	http://www.ihsciconf.org/conf/	http://www.ihsciconf.org/conf/	VERB
iajs-1814	1	34	   	   	SPACE
iajs-1814	1	35	www.ihsciconf.org	www.ihsciconf.org	ADJ
iajs-1814	1	36	   	   	SPACE
iajs-1814	1	37	mathematics	mathematic	NOUN
iajs-1814	1	38	|	|	ADV
iajs-1814	1	39	409	409	NUM
iajs-1814	1	40	  	  	SPACE
iajs-1814	1	41	on	on	ADP
iajs-1814	1	42	reliability	reliability	NOUN
iajs-1814	1	43	estimation	estimation	NOUN
iajs-1814	1	44	for	for	ADP
iajs-1814	1	45	the	the	DET
iajs-1814	1	46	exponential	exponential	ADJ
iajs-1814	1	47	distribution	distribution	NOUN
iajs-1814	1	48	based	base	VERB
iajs-1814	1	49	on	on	ADP
iajs-1814	1	50	monte	monte	PROPN
iajs-1814	1	51	carlo	carlo	PROPN
iajs-1814	1	52	simulation	simulation	PROPN
iajs-1814	1	53	abbas	abbas	PROPN
iajs-1814	1	54	najim	najim	PROPN
iajs-1814	1	55	salman	salman	PROPN
iajs-1814	1	56	abbasnajim66@yahoo.com	abbasnajim66@yahoo.com	PROPN
iajs-1814	1	57	                                                     	                                                     	SPACE
iajs-1814	1	58	dept	dept	NOUN
iajs-1814	1	59	.	.	PROPN
iajs-1814	1	60	of	of	ADP
iajs-1814	1	61	mathematics	mathematics	PROPN
iajs-1814	1	62	/	/	SYM
iajs-1814	1	63	college	college	NOUN
iajs-1814	1	64	of	of	ADP
iajs-1814	1	65	education	education	NOUN
iajs-1814	1	66	for	for	ADP
iajs-1814	1	67	pure	pure	ADJ
iajs-1814	1	68	science/	science/	NOUN
iajs-1814	1	69	ibn	ibn	PROPN
iajs-1814	1	70	al	al	PROPN
iajs-1814	1	71	–	–	PUNCT
iajs-1814	1	72	haithamuniversity	haithamuniversity	NOUN
iajs-1814	1	73	of	of	ADP
iajs-1814	1	74	baghdad	baghdad	PROPN
iajs-1814	1	75	taha	taha	PROPN
iajs-1814	1	76	anwartaha	anwartaha	PROPN
iajs-1814	1	77	tahaanwar36@gmail.com	tahaanwar36@gmail.com	X
iajs-1814	1	78	directorategeneral	directorategeneral	NOUN
iajs-1814	1	79	for	for	ADP
iajs-1814	1	80	education	education	NOUN
iajs-1814	1	81	of	of	ADP
iajs-1814	1	82	anbar/	anbar/	NUM
iajs-1814	1	83	ministry	ministry	PROPN
iajs-1814	1	84	of	of	ADP
iajs-1814	1	85	education	education	PROPN
iajs-1814	1	86	abstract	abstract	ADV
iajs-1814	1	87	this	this	DET
iajs-1814	1	88	research	research	NOUN
iajs-1814	1	89	deals	deal	NOUN
iajs-1814	1	90	with	with	ADP
iajs-1814	1	91	estimation	estimation	NOUN
iajs-1814	1	92	the	the	DET
iajs-1814	1	93	reliability	reliability	NOUN
iajs-1814	1	94	function	function	NOUN
iajs-1814	1	95	for	for	ADP
iajs-1814	1	96	two	two	NUM
iajs-1814	1	97	-	-	PUNCT
iajs-1814	1	98	parameters	parameter	NOUN
iajs-1814	1	99	exponential	exponential	ADJ
iajs-1814	1	100	distribution	distribution	NOUN
iajs-1814	1	101	,	,	PUNCT
iajs-1814	1	102	using	use	VERB
iajs-1814	1	103	different	different	ADJ
iajs-1814	1	104	estimation	estimation	NOUN
iajs-1814	1	105	methods	method	NOUN
iajs-1814	1	106	;	;	PUNCT
iajs-1814	1	107	maximum	maximum	ADJ
iajs-1814	1	108	likelihood	likelihood	NOUN
iajs-1814	1	109	,	,	PUNCT
iajs-1814	1	110	median	median	ADJ
iajs-1814	1	111	-	-	PUNCT
iajs-1814	1	112	first	first	ADJ
iajs-1814	1	113	order	order	NOUN
iajs-1814	1	114	statistics	statistic	NOUN
iajs-1814	1	115	,	,	PUNCT
iajs-1814	1	116	ridge	ridge	NOUN
iajs-1814	1	117	regression	regression	NOUN
iajs-1814	1	118	,	,	PUNCT
iajs-1814	1	119	modified	modify	VERB
iajs-1814	1	120	thompson	thompson	NOUN
iajs-1814	1	121	-	-	PUNCT
iajs-1814	1	122	type	type	NOUN
iajs-1814	1	123	shrinkage	shrinkage	NOUN
iajs-1814	1	124	and	and	CCONJ
iajs-1814	1	125	single	single	ADJ
iajs-1814	1	126	stage	stage	NOUN
iajs-1814	1	127	shrinkage	shrinkage	NOUN
iajs-1814	1	128	methods	method	NOUN
iajs-1814	1	129	.	.	PUNCT
iajs-1814	2	1	comparisons	comparison	NOUN
iajs-1814	2	2	among	among	ADP
iajs-1814	2	3	the	the	DET
iajs-1814	2	4	estimators	estimator	NOUN
iajs-1814	2	5	were	be	AUX
iajs-1814	2	6	made	make	VERB
iajs-1814	2	7	using	use	VERB
iajs-1814	2	8	monte	monte	PROPN
iajs-1814	2	9	carlo	carlo	PROPN
iajs-1814	2	10	simulation	simulation	NOUN
iajs-1814	2	11	based	base	VERB
iajs-1814	2	12	on	on	ADP
iajs-1814	2	13	statistical	statistical	ADJ
iajs-1814	2	14	indicter	indicter	NOUN
iajs-1814	2	15	mean	mean	VERB
iajs-1814	2	16	squared	square	VERB
iajs-1814	2	17	error	error	NOUN
iajs-1814	2	18	(	(	PUNCT
iajs-1814	2	19	mse	mse	NOUN
iajs-1814	2	20	)	)	PUNCT
iajs-1814	2	21	conclude	conclude	VERB
iajs-1814	2	22	that	that	SCONJ
iajs-1814	2	23	the	the	DET
iajs-1814	2	24	shrinkage	shrinkage	NOUN
iajs-1814	2	25	method	method	NOUN
iajs-1814	2	26	perform	perform	VERB
iajs-1814	2	27	better	well	ADV
iajs-1814	2	28	than	than	ADP
iajs-1814	2	29	the	the	DET
iajs-1814	2	30	other	other	ADJ
iajs-1814	2	31	methods	method	NOUN
iajs-1814	2	32	.	.	PUNCT
iajs-1814	3	1	keywords	keyword	NOUN
iajs-1814	3	2	:	:	PUNCT
iajs-1814	3	3	the	the	DET
iajs-1814	3	4	exponential	exponential	ADJ
iajs-1814	3	5	distribution	distribution	NOUN
iajs-1814	3	6	,	,	PUNCT
iajs-1814	3	7	median	median	ADJ
iajs-1814	3	8	-	-	PUNCT
iajs-1814	3	9	first	first	ADJ
iajs-1814	3	10	order	order	NOUN
iajs-1814	3	11	statistics	statistic	NOUN
iajs-1814	3	12	,	,	PUNCT
iajs-1814	3	13	ridge	ridge	NOUN
iajs-1814	3	14	regression	regression	NOUN
iajs-1814	3	15	,	,	PUNCT
iajs-1814	3	16	modified	modify	VERB
iajs-1814	3	17	thompson	thompson	NOUN
iajs-1814	3	18	,	,	PUNCT
iajs-1814	3	19	shrinkage	shrinkage	NOUN
iajs-1814	3	20	methods	method	NOUN
iajs-1814	3	21	,	,	PUNCT
iajs-1814	3	22	mean	mean	VERB
iajs-1814	3	23	squared	square	VERB
iajs-1814	3	24	error	error	NOUN
iajs-1814	3	25	.	.	PUNCT
iajs-1814	4	1	ihsciconf	ihsciconf	PROPN
iajs-1814	4	2	2017	2017	NUM
iajs-1814	4	3	special	special	ADJ
iajs-1814	4	4	issue	issue	NOUN
iajs-1814	4	5	ibn	ibn	PROPN
iajs-1814	4	6	al	al	PROPN
iajs-1814	4	7	-	-	PUNCT
iajs-1814	4	8	haitham	haitham	PROPN
iajs-1814	4	9	journal	journal	PROPN
iajs-1814	4	10	for	for	ADP
iajs-1814	4	11	pure	pure	ADJ
iajs-1814	4	12	and	and	CCONJ
iajs-1814	4	13	applied	apply	VERB
iajs-1814	4	14	science	science	NOUN
iajs-1814	4	15	https://doi.org/	https://doi.org/	NOUN
iajs-1814	4	16	10.30526/2017.ihsciconf.1814	10.30526/2017.ihsciconf.1814	NUM
iajs-1814	4	17	for	for	ADP
iajs-1814	4	18	more	more	ADJ
iajs-1814	4	19	information	information	NOUN
iajs-1814	4	20	about	about	ADP
iajs-1814	4	21	the	the	DET
iajs-1814	4	22	conference	conference	NOUN
iajs-1814	4	23	please	please	INTJ
iajs-1814	4	24	visit	visit	VERB
iajs-1814	4	25	the	the	DET
iajs-1814	4	26	websites	website	NOUN
iajs-1814	4	27	:	:	PUNCT
iajs-1814	4	28	http://www.ihsciconf.org/conf/	http://www.ihsciconf.org/conf/	VERB
iajs-1814	4	29	   	   	SPACE
iajs-1814	4	30	www.ihsciconf.org	www.ihsciconf.org	ADJ
iajs-1814	4	31	   	   	SPACE
iajs-1814	4	32	mathematics	mathematic	NOUN
iajs-1814	4	33	|	|	ADV
iajs-1814	4	34	410	410	NUM
iajs-1814	4	35	  	  	SPACE
iajs-1814	4	36	1	1	NUM
iajs-1814	4	37	.	.	PUNCT
iajs-1814	5	1	introduction	introduction	NOUN
iajs-1814	5	2	the	the	DET
iajs-1814	5	3	exponential	exponential	ADJ
iajs-1814	5	4	distribution	distribution	NOUN
iajs-1814	5	5	is	be	AUX
iajs-1814	5	6	generally	generally	ADV
iajs-1814	5	7	use	use	ADJ
iajs-1814	5	8	for	for	ADP
iajs-1814	5	9	unit	unit	NOUN
iajs-1814	5	10	failure	failure	NOUN
iajs-1814	5	11	model	model	NOUN
iajs-1814	5	12	that	that	PRON
iajs-1814	5	13	have	have	VERB
iajs-1814	5	14	an	an	DET
iajs-1814	5	15	constant	constant	ADJ
iajs-1814	5	16	failure	failure	NOUN
iajs-1814	5	17	rate	rate	NOUN
iajs-1814	5	18	,	,	PUNCT
iajs-1814	5	19	it	it	PRON
iajs-1814	5	20	be	be	VERB
iajs-1814	5	21	able	able	ADJ
iajs-1814	5	22	to	to	PART
iajs-1814	5	23	be	be	AUX
iajs-1814	5	24	with	with	ADP
iajs-1814	5	25	one	one	NUM
iajs-1814	5	26	or	or	CCONJ
iajs-1814	5	27	two	two	NUM
iajs-1814	5	28	parameters	parameter	NOUN
iajs-1814	5	29	.	.	PUNCT
iajs-1814	6	1	"	"	PUNCT
iajs-1814	6	2	maguire	maguire	NOUN
iajs-1814	6	3	,	,	PUNCT
iajs-1814	6	4	pearson	pearson	PROPN
iajs-1814	6	5	and	and	CCONJ
iajs-1814	6	6	wynn	wynn	PROPN
iajs-1814	6	7	(	(	PUNCT
iajs-1814	6	8	1952	1952	NUM
iajs-1814	6	9	)	)	PUNCT
iajs-1814	6	10	studied	study	VERB
iajs-1814	6	11	mine	mine	ADJ
iajs-1814	6	12	accidents	accident	NOUN
iajs-1814	6	13	and	and	CCONJ
iajs-1814	6	14	showed	show	VERB
iajs-1814	6	15	that	that	SCONJ
iajs-1814	6	16	time	time	NOUN
iajs-1814	6	17	intervals	interval	NOUN
iajs-1814	6	18	between	between	ADP
iajs-1814	6	19	industrial	industrial	ADJ
iajs-1814	6	20	accidents	accident	NOUN
iajs-1814	6	21	follow	follow	VERB
iajs-1814	6	22	exponential	exponential	ADJ
iajs-1814	6	23	distribution";[6	distribution";[6	PROPN
iajs-1814	6	24	]	]	PUNCT
iajs-1814	6	25	.	.	PUNCT
iajs-1814	7	1	"	"	PUNCT
iajs-1814	7	2	cohen	cohen	NOUN
iajs-1814	7	3	and	and	CCONJ
iajs-1814	7	4	helm	helm	NOUN
iajs-1814	7	5	(	(	PUNCT
iajs-1814	7	6	1973	1973	NUM
iajs-1814	7	7	)	)	PUNCT
iajs-1814	7	8	used	use	VERB
iajs-1814	7	9	(	(	PUNCT
iajs-1814	7	10	blue	blue	ADJ
iajs-1814	7	11	)	)	PUNCT
iajs-1814	7	12	,	,	PUNCT
iajs-1814	7	13	(	(	PUNCT
iajs-1814	7	14	mle	mle	PROPN
iajs-1814	7	15	)	)	PUNCT
iajs-1814	7	16	,	,	PUNCT
iajs-1814	7	17	(	(	PUNCT
iajs-1814	7	18	me	i	PRON
iajs-1814	7	19	)	)	PUNCT
iajs-1814	7	20	,	,	PUNCT
iajs-1814	7	21	(	(	PUNCT
iajs-1814	7	22	mvue	mvue	PROPN
iajs-1814	7	23	)	)	PUNCT
iajs-1814	7	24	and	and	CCONJ
iajs-1814	7	25	mme	mme	NOUN
iajs-1814	7	26	to	to	PART
iajs-1814	7	27	estimate	estimate	VERB
iajs-1814	7	28	the	the	DET
iajs-1814	7	29	parameters	parameter	NOUN
iajs-1814	7	30	of	of	ADP
iajs-1814	7	31	the	the	DET
iajs-1814	7	32	exponential	exponential	ADJ
iajs-1814	7	33	distribution	distribution	NOUN
iajs-1814	7	34	"	"	PUNCT
iajs-1814	7	35	;	;	PUNCT
iajs-1814	7	36	[	[	X
iajs-1814	7	37	3	3	NUM
iajs-1814	7	38	]	]	PUNCT
iajs-1814	7	39	.	.	PUNCT
iajs-1814	8	1	"	"	PUNCT
iajs-1814	8	2	peter	peter	PROPN
iajs-1814	8	3	(	(	PUNCT
iajs-1814	8	4	1974	1974	NUM
iajs-1814	8	5	)	)	PUNCT
iajs-1814	8	6	used	use	VERB
iajs-1814	8	7	robust	robust	ADJ
iajs-1814	8	8	m	m	NOUN
iajs-1814	8	9	-	-	PUNCT
iajs-1814	8	10	estimation	estimation	NOUN
iajs-1814	8	11	method	method	NOUN
iajs-1814	8	12	for	for	ADP
iajs-1814	8	13	the	the	DET
iajs-1814	8	14	scale	scale	NOUN
iajs-1814	8	15	parameter	parameter	NOUN
iajs-1814	8	16	,	,	PUNCT
iajs-1814	8	17	with	with	ADP
iajs-1814	8	18	application	application	NOUN
iajs-1814	8	19	to	to	ADP
iajs-1814	8	20	the	the	DET
iajs-1814	8	21	exponential	exponential	ADJ
iajs-1814	8	22	distribution"[8	distribution"[8	PROPN
iajs-1814	8	23	]	]	PUNCT
iajs-1814	8	24	.	.	PUNCT
iajs-1814	8	25	"	"	PUNCT
iajs-1814	9	1	lawless	lawless	ADJ
iajs-1814	9	2	(	(	PUNCT
iajs-1814	9	3	1977	1977	NUM
iajs-1814	9	4	)	)	PUNCT
iajs-1814	9	5	studied	study	VERB
iajs-1814	9	6	a	a	DET
iajs-1814	9	7	confidence	confidence	NOUN
iajs-1814	9	8	interval	interval	NOUN
iajs-1814	9	9	for	for	ADP
iajs-1814	9	10	the	the	DET
iajs-1814	9	11	scale	scale	NOUN
iajs-1814	9	12	parameter	parameter	NOUN
iajs-1814	9	13	and	and	CCONJ
iajs-1814	9	14	obtained	obtain	VERB
iajs-1814	9	15	a	a	DET
iajs-1814	9	16	prediction	prediction	NOUN
iajs-1814	9	17	interval	interval	NOUN
iajs-1814	9	18	for	for	ADP
iajs-1814	9	19	a	a	DET
iajs-1814	9	20	future	future	ADJ
iajs-1814	9	21	observation	observation	NOUN
iajs-1814	9	22	"	"	PUNCT
iajs-1814	9	23	;	;	PUNCT
iajs-1814	10	1	[	[	X
iajs-1814	10	2	5	5	NUM
iajs-1814	10	3	]	]	PUNCT
iajs-1814	10	4	.	.	PUNCT
iajs-1814	11	1	"	"	PUNCT
iajs-1814	11	2	afify	afify	VERB
iajs-1814	11	3	(	(	PUNCT
iajs-1814	11	4	2004	2004	NUM
iajs-1814	11	5	)	)	PUNCT
iajs-1814	11	6	and	and	CCONJ
iajs-1814	11	7	muhammad	muhammad	PROPN
iajs-1814	11	8	and	and	CCONJ
iajs-1814	11	9	ahmed	ahmed	PROPN
iajs-1814	11	10	(	(	PUNCT
iajs-1814	11	11	2011	2011	NUM
iajs-1814	11	12	)	)	PUNCT
iajs-1814	11	13	reviewed	review	VERB
iajs-1814	11	14	and	and	CCONJ
iajs-1814	11	15	compared	compare	VERB
iajs-1814	11	16	several	several	ADJ
iajs-1814	11	17	methods	method	NOUN
iajs-1814	11	18	for	for	ADP
iajs-1814	11	19	estimating	estimate	VERB
iajs-1814	11	20	the	the	DET
iajs-1814	11	21	two	two	NUM
iajs-1814	11	22	-	-	PUNCT
iajs-1814	11	23	parameter	parameter	NOUN
iajs-1814	11	24	exponential	exponential	NOUN
iajs-1814	11	25	distribution";[1	distribution";[1	NOUN
iajs-1814	11	26	and	and	CCONJ
iajs-1814	11	27	7	7	NUM
iajs-1814	11	28	]	]	PUNCT
iajs-1814	11	29	.	.	PUNCT
iajs-1814	12	1	"	"	PUNCT
iajs-1814	12	2	two	two	NUM
iajs-1814	12	3	new	new	ADJ
iajs-1814	12	4	classes	class	NOUN
iajs-1814	12	5	of	of	ADP
iajs-1814	12	6	confidence	confidence	NOUN
iajs-1814	12	7	interval	interval	NOUN
iajs-1814	12	8	for	for	ADP
iajs-1814	12	9	the	the	DET
iajs-1814	12	10	scale	scale	NOUN
iajs-1814	12	11	parameter	parameter	NOUN
iajs-1814	12	12	proposed	propose	VERB
iajs-1814	12	13	by	by	ADP
iajs-1814	12	14	petropoulos	petropoulo	NOUN
iajs-1814	12	15	(	(	PUNCT
iajs-1814	12	16	2011	2011	NUM
iajs-1814	12	17	)	)	PUNCT
iajs-1814	12	18	"	"	PUNCT
iajs-1814	12	19	;	;	PUNCT
iajs-1814	12	20	[	[	X
iajs-1814	12	21	9	9	NUM
iajs-1814	12	22	]	]	PUNCT
iajs-1814	12	23	and	and	CCONJ
iajs-1814	12	24	"	"	PUNCT
iajs-1814	12	25	lai	lai	PROPN
iajs-1814	12	26	and	and	CCONJ
iajs-1814	12	27	augustine	augustine	PROPN
iajs-1814	12	28	(	(	PUNCT
iajs-1814	12	29	2012	2012	NUM
iajs-1814	12	30	)	)	PUNCT
iajs-1814	12	31	obtained	obtain	VERB
iajs-1814	12	32	interval	interval	NOUN
iajs-1814	12	33	estimates	estimate	NOUN
iajs-1814	12	34	for	for	ADP
iajs-1814	12	35	the	the	DET
iajs-1814	12	36	threshold	threshold	NOUN
iajs-1814	12	37	(	(	PUNCT
iajs-1814	12	38	location	location	NOUN
iajs-1814	12	39	)	)	PUNCT
iajs-1814	12	40	parameter	parameter	NOUN
iajs-1814	12	41	and	and	CCONJ
iajs-1814	12	42	derived	derive	VERB
iajs-1814	12	43	a	a	DET
iajs-1814	12	44	predictive	predictive	ADJ
iajs-1814	12	45	function	function	NOUN
iajs-1814	12	46	for	for	ADP
iajs-1814	12	47	the	the	DET
iajs-1814	12	48	two	two	NUM
iajs-1814	12	49	parameter";[4	parameter";[4	PROPN
iajs-1814	12	50	]	]	PUNCT
iajs-1814	12	51	.	.	PUNCT
iajs-1814	13	1	the	the	DET
iajs-1814	13	2	aim	aim	NOUN
iajs-1814	13	3	of	of	ADP
iajs-1814	13	4	this	this	DET
iajs-1814	13	5	research	research	NOUN
iajs-1814	13	6	is	be	AUX
iajs-1814	13	7	to	to	PART
iajs-1814	13	8	estimate	estimate	VERB
iajs-1814	13	9	the	the	DET
iajs-1814	13	10	reliability	reliability	NOUN
iajs-1814	13	11	function	function	NOUN
iajs-1814	13	12	for	for	ADP
iajs-1814	13	13	two	two	NUM
iajs-1814	13	14	-	-	PUNCT
iajs-1814	13	15	parameters	parameter	NOUN
iajs-1814	13	16	exponential	exponential	ADJ
iajs-1814	13	17	distribution	distribution	NOUN
iajs-1814	13	18	,	,	PUNCT
iajs-1814	13	19	using	use	VERB
iajs-1814	13	20	different	different	ADJ
iajs-1814	13	21	estimation	estimation	NOUN
iajs-1814	13	22	methods	method	NOUN
iajs-1814	13	23	;	;	PUNCT
iajs-1814	13	24	maximum	maximum	ADJ
iajs-1814	13	25	likelihood	likelihood	NOUN
iajs-1814	13	26	,	,	PUNCT
iajs-1814	13	27	median	median	ADJ
iajs-1814	13	28	-	-	PUNCT
iajs-1814	13	29	first	first	ADJ
iajs-1814	13	30	order	order	NOUN
iajs-1814	13	31	statistics	statistic	NOUN
iajs-1814	13	32	,	,	PUNCT
iajs-1814	13	33	ridge	ridge	NOUN
iajs-1814	13	34	regression	regression	NOUN
iajs-1814	13	35	,	,	PUNCT
iajs-1814	13	36	modified	modify	VERB
iajs-1814	13	37	thompson	thompson	NOUN
iajs-1814	13	38	-	-	PUNCT
iajs-1814	13	39	type	type	NOUN
iajs-1814	13	40	shrinkage	shrinkage	NOUN
iajs-1814	13	41	and	and	CCONJ
iajs-1814	13	42	single	single	ADJ
iajs-1814	13	43	stage	stage	NOUN
iajs-1814	13	44	shrinkage	shrinkage	NOUN
iajs-1814	13	45	methods	method	NOUN
iajs-1814	13	46	where	where	SCONJ
iajs-1814	13	47	a	a	DET
iajs-1814	13	48	location	location	NOUN
iajs-1814	13	49	parameter	parameter	NOUN
iajs-1814	13	50	𝛼	𝛼	NOUN
iajs-1814	13	51	)	)	PUNCT
iajs-1814	13	52	is	be	AUX
iajs-1814	13	53	known	know	VERB
iajs-1814	13	54	.	.	PUNCT
iajs-1814	14	1	the	the	DET
iajs-1814	14	2	probability	probability	NOUN
iajs-1814	14	3	density	density	NOUN
iajs-1814	14	4	function	function	NOUN
iajs-1814	14	5	of	of	ADP
iajs-1814	14	6	two	two	NUM
iajs-1814	14	7	parameters	parameter	NOUN
iajs-1814	14	8	exponential	exponential	ADJ
iajs-1814	14	9	distribution	distribution	NOUN
iajs-1814	14	10	is	be	AUX
iajs-1814	14	11	given	give	VERB
iajs-1814	14	12	by	by	ADP
iajs-1814	14	13	𝑓	𝑓	DET
iajs-1814	14	14	𝑡	𝑡	PROPN
iajs-1814	14	15	,	,	PUNCT
iajs-1814	14	16	𝛼	𝛼	PROPN
iajs-1814	14	17	,	,	PUNCT
iajs-1814	14	18	𝛽	𝛽	PROPN
iajs-1814	14	19	1	1	NUM
iajs-1814	14	20	𝛽	𝛽	NOUN
iajs-1814	14	21	𝑒𝑥𝑝	𝑒𝑥𝑝	INTJ
iajs-1814	14	22	𝑡	𝑡	DET
iajs-1814	14	23	𝛼	𝛼	NOUN
iajs-1814	14	24	𝛽	𝛽	NOUN
iajs-1814	14	25	𝛼	𝛼	X
iajs-1814	14	26	𝑡	𝑡	NOUN
iajs-1814	14	27	∞	∞	NOUN
iajs-1814	14	28	0	0	NUM
iajs-1814	15	1	𝑜.	𝑜.	NOUN
iajs-1814	15	2	𝑤	𝑤	ADP
iajs-1814	15	3	1	1	NUM
iajs-1814	15	4	ω	ω	NUM
iajs-1814	15	5	𝛼	𝛼	PROPN
iajs-1814	15	6	,	,	PUNCT
iajs-1814	15	7	𝛽	𝛽	NOUN
iajs-1814	15	8	;	;	PUNCT
iajs-1814	15	9	𝛼	𝛼	PROPN
iajs-1814	15	10	0	0	NUM
iajs-1814	15	11	,	,	PUNCT
iajs-1814	15	12	𝛽	𝛽	NOUN
iajs-1814	15	13	0	0	NUM
iajs-1814	15	14	where	where	SCONJ
iajs-1814	15	15	𝛼	𝛼	NOUN
iajs-1814	15	16	is	be	AUX
iajs-1814	15	17	a	a	DET
iajs-1814	15	18	location	location	NOUN
iajs-1814	15	19	parameter	parameter	NOUN
iajs-1814	15	20	and	and	CCONJ
iajs-1814	15	21	𝛽	𝛽	NOUN
iajs-1814	15	22	is	be	AUX
iajs-1814	15	23	a	a	DET
iajs-1814	15	24	scale	scale	NOUN
iajs-1814	15	25	parameter	parameter	NOUN
iajs-1814	15	26	.	.	PUNCT
iajs-1814	16	1	the	the	DET
iajs-1814	16	2	mean	mean	NOUN
iajs-1814	16	3	and	and	CCONJ
iajs-1814	16	4	the	the	DET
iajs-1814	16	5	variance	variance	NOUN
iajs-1814	16	6	of	of	ADP
iajs-1814	16	7	exponential	exponential	ADJ
iajs-1814	16	8	distribution	distribution	NOUN
iajs-1814	16	9	are	be	AUX
iajs-1814	16	10	:	:	PUNCT
iajs-1814	16	11	𝑀	𝑀	PROPN
iajs-1814	16	12	𝐸	𝐸	PROPN
iajs-1814	16	13	𝑡	𝑡	PROPN
iajs-1814	16	14	𝛽	𝛽	NOUN
iajs-1814	16	15	𝛼	𝛼	PROPN
iajs-1814	16	16	2	2	NUM
iajs-1814	16	17	𝜎	𝜎	NOUN
iajs-1814	16	18	𝑣𝑎𝑟	𝑣𝑎𝑟	NOUN
iajs-1814	16	19	𝑡	𝑡	ADP
iajs-1814	16	20	𝛽	𝛽	PROPN
iajs-1814	16	21	3	3	NUM
iajs-1814	16	22	𝐸	𝐸	PROPN
iajs-1814	16	23	𝑡	𝑡	NOUN
iajs-1814	16	24	2𝛽	2𝛽	NOUN
iajs-1814	16	25	2	2	NUM
iajs-1814	16	26	𝛼𝛽	𝛼𝛽	NOUN
iajs-1814	16	27	𝛼	𝛼	PROPN
iajs-1814	16	28	4	4	NUM
iajs-1814	16	29	the	the	DET
iajs-1814	16	30	distribution	distribution	NOUN
iajs-1814	16	31	,	,	PUNCT
iajs-1814	16	32	reliability	reliability	NOUN
iajs-1814	16	33	and	and	CCONJ
iajs-1814	16	34	hazard	hazard	NOUN
iajs-1814	16	35	functions	function	NOUN
iajs-1814	16	36	of	of	ADP
iajs-1814	16	37	exponential	exponential	ADJ
iajs-1814	16	38	distribution	distribution	NOUN
iajs-1814	16	39	respectively	respectively	ADV
iajs-1814	16	40	as	as	ADP
iajs-1814	16	41	below	below	ADV
iajs-1814	16	42	:	:	PUNCT
iajs-1814	17	1	𝐹	𝐹	PROPN
iajs-1814	17	2	𝑡	𝑡	PROPN
iajs-1814	17	3	1	1	NUM
iajs-1814	17	4	𝑒𝑥𝑝	𝑒𝑥𝑝	INTJ
iajs-1814	17	5	𝑡	𝑡	PROPN
iajs-1814	17	6	𝛼	𝛼	PROPN
iajs-1814	17	7	𝛽	𝛽	PROPN
iajs-1814	17	8	5	5	NUM
iajs-1814	17	9	𝑅	𝑅	PROPN
iajs-1814	17	10	𝑡	𝑡	NOUN
iajs-1814	17	11	𝑒𝑥𝑝	𝑒𝑥𝑝	ADP
iajs-1814	17	12	𝑡	𝑡	X
iajs-1814	17	13	𝛼	𝛼	PROPN
iajs-1814	17	14	𝛽	𝛽	NOUN
iajs-1814	17	15	6	6	NUM
iajs-1814	17	16	ℎ	ℎ	PART
iajs-1814	17	17	𝑡	𝑡	PROPN
iajs-1814	17	18	1	1	NUM
iajs-1814	17	19	𝛽	𝛽	NOUN
iajs-1814	17	20	7	7	NUM
iajs-1814	17	21	ihsciconf	ihsciconf	NOUN
iajs-1814	17	22	2017	2017	NUM
iajs-1814	17	23	special	special	ADJ
iajs-1814	17	24	issue	issue	NOUN
iajs-1814	17	25	ibn	ibn	PROPN
iajs-1814	17	26	al	al	PROPN
iajs-1814	17	27	-	-	PUNCT
iajs-1814	17	28	haitham	haitham	PROPN
iajs-1814	17	29	journal	journal	PROPN
iajs-1814	17	30	for	for	ADP
iajs-1814	17	31	pure	pure	ADJ
iajs-1814	17	32	and	and	CCONJ
iajs-1814	17	33	applied	apply	VERB
iajs-1814	17	34	science	science	NOUN
iajs-1814	17	35	https://doi.org/	https://doi.org/	NOUN
iajs-1814	17	36	10.30526/2017.ihsciconf.1814	10.30526/2017.ihsciconf.1814	NUM
iajs-1814	17	37	for	for	ADP
iajs-1814	17	38	more	more	ADJ
iajs-1814	17	39	information	information	NOUN
iajs-1814	17	40	about	about	ADP
iajs-1814	17	41	the	the	DET
iajs-1814	17	42	conference	conference	NOUN
iajs-1814	17	43	please	please	INTJ
iajs-1814	17	44	visit	visit	VERB
iajs-1814	17	45	the	the	DET
iajs-1814	17	46	websites	website	NOUN
iajs-1814	17	47	:	:	PUNCT
iajs-1814	17	48	http://www.ihsciconf.org/conf/	http://www.ihsciconf.org/conf/	VERB
iajs-1814	17	49	   	   	SPACE
iajs-1814	17	50	www.ihsciconf.org	www.ihsciconf.org	ADJ
iajs-1814	17	51	   	   	SPACE
iajs-1814	17	52	mathematics	mathematic	NOUN
iajs-1814	17	53	|	|	ADV
iajs-1814	17	54	411	411	NUM
iajs-1814	17	55	  	  	SPACE
iajs-1814	17	56	2	2	NUM
iajs-1814	17	57	.	.	PUNCT
iajs-1814	17	58	experimental	experimental	ADJ
iajs-1814	17	59	estimation	estimation	NOUN
iajs-1814	17	60	method	method	NOUN
iajs-1814	17	61	(	(	PUNCT
iajs-1814	17	62	theoretical	theoretical	ADJ
iajs-1814	17	63	part	part	NOUN
iajs-1814	17	64	)	)	PUNCT
iajs-1814	17	65	in	in	ADP
iajs-1814	17	66	this	this	DET
iajs-1814	17	67	section	section	NOUN
iajs-1814	17	68	,	,	PUNCT
iajs-1814	17	69	we	we	PRON
iajs-1814	17	70	discussed	discuss	VERB
iajs-1814	17	71	five	five	NUM
iajs-1814	17	72	estimation	estimation	NOUN
iajs-1814	17	73	methods	method	NOUN
iajs-1814	17	74	for	for	ADP
iajs-1814	17	75	the	the	DET
iajs-1814	17	76	parameter	parameter	NOUN
iajs-1814	17	77	and	and	CCONJ
iajs-1814	17	78	the	the	DET
iajs-1814	17	79	reliability	reliability	NOUN
iajs-1814	17	80	function	function	NOUN
iajs-1814	17	81	of	of	ADP
iajs-1814	17	82	two	two	NUM
iajs-1814	17	83	-	-	PUNCT
iajs-1814	17	84	parameter	parameter	NOUN
iajs-1814	17	85	exponential	exponential	ADJ
iajs-1814	17	86	distribution	distribution	NOUN
iajs-1814	17	87	maximum	maximum	ADJ
iajs-1814	17	88	likelihood	likelihood	NOUN
iajs-1814	17	89	method	method	NOUN
iajs-1814	17	90	the	the	DET
iajs-1814	17	91	likelihood	likelihood	NOUN
iajs-1814	17	92	function	function	NOUN
iajs-1814	17	93	l(𝑡	l(𝑡	NOUN
iajs-1814	17	94	,	,	PUNCT
iajs-1814	17	95	𝛼	𝛼	X
iajs-1814	17	96	,	,	PUNCT
iajs-1814	17	97	𝛽	𝛽	NOUN
iajs-1814	17	98	)	)	PUNCT
iajs-1814	17	99	is	be	AUX
iajs-1814	17	100	defined	define	VERB
iajs-1814	17	101	as	as	ADP
iajs-1814	17	102	below	below	ADV
iajs-1814	17	103	,	,	PUNCT
iajs-1814	17	104	[	[	X
iajs-1814	17	105	3	3	NUM
iajs-1814	17	106	]	]	X
iajs-1814	17	107	l	l	NOUN
iajs-1814	17	108	𝑓	𝑓	X
iajs-1814	17	109	𝑡	𝑡	PROPN
iajs-1814	17	110	,	,	PUNCT
iajs-1814	17	111	𝛼	𝛼	INTJ
iajs-1814	17	112	,	,	PUNCT
iajs-1814	17	113	𝛽	𝛽	PROPN
iajs-1814	17	114	8	8	NUM
iajs-1814	17	115	l	l	NOUN
iajs-1814	17	116	1	1	NUM
iajs-1814	17	117	𝛽	𝛽	NOUN
iajs-1814	17	118	𝑒𝑥𝑝	𝑒𝑥𝑝	INTJ
iajs-1814	17	119	𝑡	𝑡	DET
iajs-1814	17	120	𝛼	𝛼	NOUN
iajs-1814	17	121	𝛽	𝛽	NOUN
iajs-1814	17	122	9	9	NUM
iajs-1814	17	123	taking	take	VERB
iajs-1814	17	124	the	the	DET
iajs-1814	17	125	natural	natural	ADJ
iajs-1814	17	126	logarithm	logarithm	NOUN
iajs-1814	17	127	equation	equation	NOUN
iajs-1814	17	128	9	9	NUM
iajs-1814	17	129	,	,	PUNCT
iajs-1814	17	130	so	so	CCONJ
iajs-1814	17	131	we	we	PRON
iajs-1814	17	132	get	get	VERB
iajs-1814	17	133	the	the	DET
iajs-1814	17	134	following	following	NOUN
iajs-1814	17	135	:	:	PUNCT
iajs-1814	17	136	ln	ln	ADJ
iajs-1814	17	137	l	l	NOUN
iajs-1814	17	138	n	n	CCONJ
iajs-1814	17	139	ln	ln	PROPN
iajs-1814	17	140	𝛽	𝛽	PROPN
iajs-1814	17	141	𝑡	𝑡	NOUN
iajs-1814	17	142	𝛼	𝛼	PROPN
iajs-1814	17	143	𝛽	𝛽	NOUN
iajs-1814	17	144	10	10	NUM
iajs-1814	17	145	the	the	DET
iajs-1814	17	146	partial	partial	ADJ
iajs-1814	17	147	derivative	derivative	NOUN
iajs-1814	17	148	for	for	ADP
iajs-1814	17	149	equation	equation	NOUN
iajs-1814	17	150	10	10	NUM
iajs-1814	17	151	with	with	ADP
iajs-1814	17	152	respect	respect	NOUN
iajs-1814	17	153	to	to	ADP
iajs-1814	17	154	unknown	unknown	ADJ
iajs-1814	17	155	parameter	parameter	NOUN
iajs-1814	17	156	β	β	PROPN
iajs-1814	17	157	,	,	PUNCT
iajs-1814	17	158	is	be	AUX
iajs-1814	17	159	:	:	PUNCT
iajs-1814	18	1	∂ln	∂ln	ADJ
iajs-1814	18	2	l	l	NOUN
iajs-1814	19	1	∂𝛽	∂𝛽	INTJ
iajs-1814	19	2	𝑛	𝑛	PRON
iajs-1814	19	3	𝛽	𝛽	NOUN
iajs-1814	19	4	𝑡	𝑡	NOUN
iajs-1814	19	5	𝛼	𝛼	PROPN
iajs-1814	19	6	𝛽	𝛽	NOUN
iajs-1814	19	7	11	11	NUM
iajs-1814	19	8	equating	equate	VERB
iajs-1814	19	9	equation	equation	NOUN
iajs-1814	19	10	11	11	NUM
iajs-1814	19	11	to	to	ADP
iajs-1814	19	12	zero	zero	NUM
iajs-1814	19	13	to	to	PART
iajs-1814	19	14	solve	solve	VERB
iajs-1814	19	15	this	this	DET
iajs-1814	19	16	equation	equation	NOUN
iajs-1814	19	17	:	:	PUNCT
iajs-1814	20	1	𝑛	𝑛	DET
iajs-1814	20	2	𝛽	𝛽	NOUN
iajs-1814	20	3	𝑡	𝑡	NOUN
iajs-1814	20	4	𝛼	𝛼	NOUN
iajs-1814	20	5	𝛽	𝛽	NOUN
iajs-1814	20	6	0	0	NUM
iajs-1814	20	7	𝑛	𝑛	PRON
iajs-1814	20	8	𝛽	𝛽	NOUN
iajs-1814	20	9	∑	∑	PUNCT
iajs-1814	20	10	𝑡	𝑡	DET
iajs-1814	20	11	𝛼	𝛼	PROPN
iajs-1814	20	12	𝛽	𝛽	NOUN
iajs-1814	20	13	0	0	NUM
iajs-1814	20	14	𝑛	𝑛	PRON
iajs-1814	20	15	𝛽	𝛽	NOUN
iajs-1814	20	16	𝑡	𝑡	NOUN
iajs-1814	20	17	𝛼	𝛼	NOUN
iajs-1814	20	18	0	0	NUM
iajs-1814	20	19	𝑛	𝑛	DET
iajs-1814	20	20	𝛽	𝛽	NOUN
iajs-1814	20	21	𝑡	𝑡	X
iajs-1814	20	22	𝛼	𝛼	PROPN
iajs-1814	20	23	∴	∴	PROPN
iajs-1814	20	24	𝛽	𝛽	PROPN
iajs-1814	20	25	1	1	NUM
iajs-1814	20	26	𝑛	𝑛	PROPN
iajs-1814	20	27	𝑡	𝑡	NOUN
iajs-1814	20	28	𝛼	𝛼	NOUN
iajs-1814	20	29	12	12	NUM
iajs-1814	20	30	then	then	ADV
iajs-1814	20	31	the	the	DET
iajs-1814	20	32	estimation	estimation	NOUN
iajs-1814	20	33	of	of	ADP
iajs-1814	20	34	reliability	reliability	NOUN
iajs-1814	20	35	function	function	NOUN
iajs-1814	20	36	for	for	ADP
iajs-1814	20	37	the	the	DET
iajs-1814	20	38	two	two	NUM
iajs-1814	20	39	-	-	PUNCT
iajs-1814	20	40	parameters	parameter	NOUN
iajs-1814	20	41	exponential	exponential	ADJ
iajs-1814	20	42	distribution	distribution	NOUN
iajs-1814	20	43	using	use	VERB
iajs-1814	20	44	ml	ml	NOUN
iajs-1814	20	45	technique	technique	NOUN
iajs-1814	20	46	will	will	AUX
iajs-1814	20	47	be	be	AUX
iajs-1814	20	48	ihsciconf	ihsciconf	ADJ
iajs-1814	20	49	2017	2017	NUM
iajs-1814	20	50	special	special	ADJ
iajs-1814	20	51	issue	issue	NOUN
iajs-1814	20	52	ibn	ibn	PROPN
iajs-1814	20	53	al	al	PROPN
iajs-1814	20	54	-	-	PUNCT
iajs-1814	20	55	haitham	haitham	PROPN
iajs-1814	20	56	journal	journal	PROPN
iajs-1814	20	57	for	for	ADP
iajs-1814	20	58	pure	pure	ADJ
iajs-1814	20	59	and	and	CCONJ
iajs-1814	20	60	applied	apply	VERB
iajs-1814	20	61	science	science	NOUN
iajs-1814	20	62	https://doi.org/	https://doi.org/	NOUN
iajs-1814	20	63	10.30526/2017.ihsciconf.1814	10.30526/2017.ihsciconf.1814	NUM
iajs-1814	20	64	for	for	ADP
iajs-1814	20	65	more	more	ADJ
iajs-1814	20	66	information	information	NOUN
iajs-1814	20	67	about	about	ADP
iajs-1814	20	68	the	the	DET
iajs-1814	20	69	conference	conference	NOUN
iajs-1814	20	70	please	please	INTJ
iajs-1814	20	71	visit	visit	VERB
iajs-1814	20	72	the	the	DET
iajs-1814	20	73	websites	website	NOUN
iajs-1814	20	74	:	:	PUNCT
iajs-1814	20	75	http://www.ihsciconf.org/conf/	http://www.ihsciconf.org/conf/	VERB
iajs-1814	20	76	   	   	SPACE
iajs-1814	20	77	www.ihsciconf.org	www.ihsciconf.org	ADJ
iajs-1814	20	78	   	   	SPACE
iajs-1814	20	79	mathematics	mathematic	NOUN
iajs-1814	20	80	|	|	ADV
iajs-1814	20	81	412	412	NUM
iajs-1814	20	82	  	  	SPACE
iajs-1814	20	83	𝑅	𝑅	PROPN
iajs-1814	20	84	exp	exp	NOUN
iajs-1814	20	85	𝑡	𝑡	PROPN
iajs-1814	20	86	𝛼	𝛼	PROPN
iajs-1814	20	87	𝛽	𝛽	PROPN
iajs-1814	20	88	13	13	NUM
iajs-1814	20	89	median	median	ADJ
iajs-1814	20	90	-	-	PUNCT
iajs-1814	20	91	first	first	ADJ
iajs-1814	20	92	order	order	NOUN
iajs-1814	20	93	statistics	statistic	NOUN
iajs-1814	20	94	method	method	NOUN
iajs-1814	20	95	"	"	PUNCT
iajs-1814	20	96	in	in	ADP
iajs-1814	20	97	this	this	DET
iajs-1814	20	98	modification	modification	NOUN
iajs-1814	20	99	the	the	DET
iajs-1814	20	100	second	second	ADJ
iajs-1814	20	101	moment	moment	NOUN
iajs-1814	20	102	is	be	AUX
iajs-1814	20	103	replaced	replace	VERB
iajs-1814	20	104	by	by	ADP
iajs-1814	20	105	met	meet	VERB
iajs-1814	20	106	=	=	SYM
iajs-1814	20	107	tme	tme	PROPN
iajs-1814	20	108	,	,	PUNCT
iajs-1814	20	109	where	where	SCONJ
iajs-1814	20	110	met	meet	VERB
iajs-1814	20	111	is	be	AUX
iajs-1814	20	112	the	the	DET
iajs-1814	20	113	population	population	NOUN
iajs-1814	20	114	median	median	NOUN
iajs-1814	20	115	and	and	CCONJ
iajs-1814	20	116	tme	tme	X
iajs-1814	20	117	is	be	AUX
iajs-1814	20	118	the	the	DET
iajs-1814	20	119	sample	sample	NOUN
iajs-1814	20	120	median";[7	median";[7	PROPN
iajs-1814	20	121	]	]	PUNCT
iajs-1814	20	122	.	.	PUNCT
iajs-1814	21	1	the	the	DET
iajs-1814	21	2	exponential	exponential	ADJ
iajs-1814	21	3	distribution	distribution	NOUN
iajs-1814	21	4	median	median	NOUN
iajs-1814	21	5	can	can	AUX
iajs-1814	21	6	be	be	AUX
iajs-1814	21	7	found	find	VERB
iajs-1814	21	8	by	by	ADP
iajs-1814	21	9	0.5	0.5	NUM
iajs-1814	21	10	𝑓	𝑓	DET
iajs-1814	21	11	𝑥	𝑥	NOUN
iajs-1814	21	12	𝑑𝑡	𝑑𝑡	ADP
iajs-1814	21	13	14	14	NUM
iajs-1814	21	14	1	1	NUM
iajs-1814	21	15	𝛽	𝛽	NOUN
iajs-1814	21	16	exp	exp	NOUN
iajs-1814	21	17	𝑡	𝑡	PROPN
iajs-1814	21	18	𝛼	𝛼	NOUN
iajs-1814	21	19	𝛽	𝛽	NOUN
iajs-1814	21	20	𝑑𝑡	𝑑𝑡	ADP
iajs-1814	21	21	1	1	NUM
iajs-1814	21	22	2	2	NUM
iajs-1814	21	23	𝐴	𝐴	PROPN
iajs-1814	21	24	𝛼	𝛼	NOUN
iajs-1814	21	25	+	+	NOUN
iajs-1814	21	26	𝛽	𝛽	NOUN
iajs-1814	21	27	𝑙𝑛2	𝑙𝑛2	NOUN
iajs-1814	21	28	the	the	DET
iajs-1814	21	29	c.d.f	c.d.f	NOUN
iajs-1814	21	30	.	.	PUNCT
iajs-1814	22	1	of	of	ADP
iajs-1814	22	2	t	t	PROPN
iajs-1814	22	3	(	(	PUNCT
iajs-1814	22	4	1	1	NUM
iajs-1814	22	5	)	)	PUNCT
iajs-1814	22	6	defined	define	VERB
iajs-1814	22	7	below	below	ADP
iajs-1814	22	8	𝐹	𝐹	PROPN
iajs-1814	22	9	𝑡	𝑡	VERB
iajs-1814	22	10	𝑝𝑟	𝑝𝑟	PROPN
iajs-1814	22	11	𝑡	𝑡	PROPN
iajs-1814	22	12	𝑡	𝑡	PROPN
iajs-1814	22	13	1	1	NUM
iajs-1814	22	14	𝑝𝑟	𝑝𝑟	PROPN
iajs-1814	22	15	𝑡	𝑡	VERB
iajs-1814	22	16	𝑡	𝑡	PROPN
iajs-1814	22	17	1	1	NUM
iajs-1814	22	18	𝑝𝑟	𝑝𝑟	PROPN
iajs-1814	22	19	𝑡	𝑡	PROPN
iajs-1814	22	20	𝑡	𝑡	PROPN
iajs-1814	22	21	,	,	PUNCT
iajs-1814	22	22	𝑡	𝑡	PROPN
iajs-1814	22	23	𝑡	𝑡	PROPN
iajs-1814	22	24	,	,	PUNCT
iajs-1814	22	25	…	…	PUNCT
iajs-1814	22	26	,	,	PUNCT
iajs-1814	22	27	𝑡	𝑡	X
iajs-1814	22	28	𝑡	𝑡	VERB
iajs-1814	22	29	1	1	NUM
iajs-1814	22	30	𝑝𝑟	𝑝𝑟	PROPN
iajs-1814	22	31	𝑇	𝑇	PROPN
iajs-1814	22	32	𝑡	𝑡	PROPN
iajs-1814	22	33	1	1	NUM
iajs-1814	22	34	𝑅	𝑅	PROPN
iajs-1814	22	35	𝑡	𝑡	PROPN
iajs-1814	22	36	so	so	ADV
iajs-1814	22	37	,	,	PUNCT
iajs-1814	22	38	the	the	DET
iajs-1814	22	39	p.d.f	p.d.f	NOUN
iajs-1814	22	40	.	.	PUNCT
iajs-1814	23	1	of	of	ADP
iajs-1814	23	2	𝑡	𝑡	PROPN
iajs-1814	23	3	became	become	VERB
iajs-1814	23	4	𝑓	𝑓	PRON
iajs-1814	23	5	𝑡	𝑡	PROPN
iajs-1814	23	6	𝑑𝐹	𝑑𝐹	PROPN
iajs-1814	23	7	𝑡	𝑡	PROPN
iajs-1814	23	8	𝑑𝑡	𝑑𝑡	ADP
iajs-1814	23	9	exp	exp	NOUN
iajs-1814	23	10	𝑛	𝑛	PROPN
iajs-1814	23	11	;	;	PUNCT
iajs-1814	23	12	𝛼	𝛼	X
iajs-1814	23	13	𝑡	𝑡	NOUN
iajs-1814	23	14	∞	∞	PROPN
iajs-1814	23	15	,	,	PUNCT
iajs-1814	23	16	𝛽	𝛽	NOUN
iajs-1814	23	17	0	0	NUM
iajs-1814	24	1	then	then	ADV
iajs-1814	24	2	,	,	PUNCT
iajs-1814	24	3	the	the	DET
iajs-1814	24	4	mathematical	mathematical	ADJ
iajs-1814	24	5	expectation	expectation	NOUN
iajs-1814	24	6	of	of	ADP
iajs-1814	24	7	a	a	DET
iajs-1814	24	8	random	random	ADJ
iajs-1814	24	9	variable	variable	NOUN
iajs-1814	24	10	𝑡	𝑡	PROPN
iajs-1814	24	11	is	be	AUX
iajs-1814	24	12	𝐸	𝐸	PROPN
iajs-1814	24	13	𝑡	𝑡	PROPN
iajs-1814	24	14	𝑡𝑛	𝑡𝑛	ADP
iajs-1814	24	15	𝛽	𝛽	NOUN
iajs-1814	24	16	exp	exp	NOUN
iajs-1814	24	17	𝑛	𝑛	ADP
iajs-1814	24	18	𝑡	𝑡	PROPN
iajs-1814	24	19	𝛼	𝛼	NOUN
iajs-1814	24	20	𝛽	𝛽	NOUN
iajs-1814	24	21	𝑑𝑡	𝑑𝑡	ADP
iajs-1814	24	22	𝛼	𝛼	PROPN
iajs-1814	24	23	𝑊ℎ𝑒𝑟𝑒	𝑊ℎ𝑒𝑟𝑒	PROPN
iajs-1814	24	24	𝑡	𝑡	PROPN
iajs-1814	24	25	𝑟𝑒𝑓𝑒𝑟	𝑟𝑒𝑓𝑒𝑟	NOUN
iajs-1814	24	26	to	to	ADP
iajs-1814	24	27	the	the	DET
iajs-1814	24	28	first	first	ADJ
iajs-1814	24	29	order	order	NOUN
iajs-1814	24	30	statistic	statistic	NOUN
iajs-1814	24	31	which	which	PRON
iajs-1814	24	32	is	be	AUX
iajs-1814	24	33	represents	represent	VERB
iajs-1814	24	34	the	the	DET
iajs-1814	24	35	smallest	small	ADJ
iajs-1814	24	36	values	value	NOUN
iajs-1814	24	37	of	of	ADP
iajs-1814	24	38	t.	t.	NOUN
iajs-1814	24	39	if	if	SCONJ
iajs-1814	24	40	α	α	PROPN
iajs-1814	24	41	,	,	PUNCT
iajs-1814	24	42	β	β	X
iajs-1814	24	43	is	be	AUX
iajs-1814	24	44	unbiased	unbiased	ADJ
iajs-1814	24	45	estimator	estimator	NOUN
iajs-1814	24	46	to	to	ADP
iajs-1814	24	47	α	α	PRON
iajs-1814	24	48	,	,	PUNCT
iajs-1814	24	49	β	β	X
iajs-1814	24	50	respectively	respectively	ADV
iajs-1814	24	51	then	then	ADV
iajs-1814	24	52	the	the	DET
iajs-1814	24	53	equationrealized	equationrealize	VERB
iajs-1814	24	54	𝛼	𝛼	NUM
iajs-1814	24	55	𝑡	𝑡	PROPN
iajs-1814	24	56	𝛽	𝛽	NOUN
iajs-1814	24	57	𝑛	𝑛	DET
iajs-1814	24	58	15	15	NUM
iajs-1814	24	59	thus	thus	ADV
iajs-1814	24	60	,	,	PUNCT
iajs-1814	24	61	we	we	PRON
iajs-1814	24	62	have	have	VERB
iajs-1814	24	63	𝛼	𝛼	NOUN
iajs-1814	24	64	+	+	NOUN
iajs-1814	24	65	𝛽	𝛽	NOUN
iajs-1814	24	66	𝑙𝑛2	𝑙𝑛2	NOUN
iajs-1814	24	67	𝑡	𝑡	PROPN
iajs-1814	24	68	→	→	SYM
iajs-1814	24	69	𝛼	𝛼	NUM
iajs-1814	24	70	𝑡	𝑡	PROPN
iajs-1814	24	71	𝛽	𝛽	NOUN
iajs-1814	24	72	𝑙𝑛2	𝑙𝑛2	NOUN
iajs-1814	24	73	(	(	PUNCT
iajs-1814	24	74	16	16	NUM
iajs-1814	24	75	)	)	PUNCT
iajs-1814	24	76	ihsciconf	ihsciconf	NOUN
iajs-1814	24	77	2017	2017	NUM
iajs-1814	24	78	special	special	ADJ
iajs-1814	24	79	issue	issue	NOUN
iajs-1814	24	80	ibn	ibn	PROPN
iajs-1814	24	81	al	al	PROPN
iajs-1814	24	82	-	-	PUNCT
iajs-1814	24	83	haitham	haitham	PROPN
iajs-1814	24	84	journal	journal	PROPN
iajs-1814	24	85	for	for	ADP
iajs-1814	24	86	pure	pure	ADJ
iajs-1814	24	87	and	and	CCONJ
iajs-1814	24	88	applied	apply	VERB
iajs-1814	24	89	science	science	NOUN
iajs-1814	24	90	https://doi.org/	https://doi.org/	NOUN
iajs-1814	24	91	10.30526/2017.ihsciconf.1814	10.30526/2017.ihsciconf.1814	NUM
iajs-1814	24	92	for	for	ADP
iajs-1814	24	93	more	more	ADJ
iajs-1814	24	94	information	information	NOUN
iajs-1814	24	95	about	about	ADP
iajs-1814	24	96	the	the	DET
iajs-1814	24	97	conference	conference	NOUN
iajs-1814	24	98	please	please	INTJ
iajs-1814	24	99	visit	visit	VERB
iajs-1814	24	100	the	the	DET
iajs-1814	24	101	websites	website	NOUN
iajs-1814	24	102	:	:	PUNCT
iajs-1814	24	103	http://www.ihsciconf.org/conf/	http://www.ihsciconf.org/conf/	VERB
iajs-1814	24	104	   	   	SPACE
iajs-1814	24	105	www.ihsciconf.org	www.ihsciconf.org	ADJ
iajs-1814	24	106	   	   	SPACE
iajs-1814	24	107	mathematics	mathematic	NOUN
iajs-1814	24	108	|	|	ADV
iajs-1814	24	109	413	413	NUM
iajs-1814	24	110	  	  	SPACE
iajs-1814	24	111	by	by	ADP
iajs-1814	24	112	equating	equate	VERB
iajs-1814	24	113	equations	equation	NOUN
iajs-1814	24	114	(	(	PUNCT
iajs-1814	24	115	17	17	NUM
iajs-1814	24	116	)	)	PUNCT
iajs-1814	24	117	and	and	CCONJ
iajs-1814	24	118	(	(	PUNCT
iajs-1814	24	119	18	18	NUM
iajs-1814	24	120	)	)	PUNCT
iajs-1814	24	121	,	,	PUNCT
iajs-1814	24	122	we	we	PRON
iajs-1814	24	123	get	get	VERB
iajs-1814	24	124	𝑡	𝑡	NOUN
iajs-1814	24	125	𝛽	𝛽	NOUN
iajs-1814	24	126	𝑙𝑛2	𝑙𝑛2	NOUN
iajs-1814	24	127	𝑡	𝑡	PROPN
iajs-1814	24	128	𝛽	𝛽	PROPN
iajs-1814	24	129	𝑛	𝑛	PROPN
iajs-1814	24	130	→	→	SYM
iajs-1814	24	131	𝑡	𝑡	PROPN
iajs-1814	24	132	𝑡	𝑡	PROPN
iajs-1814	24	133	𝛽	𝛽	NOUN
iajs-1814	24	134	𝑙𝑛2	𝑙𝑛2	NOUN
iajs-1814	24	135	𝛽	𝛽	NOUN
iajs-1814	24	136	𝑛	𝑛	PROPN
iajs-1814	24	137	𝑡	𝑡	PROPN
iajs-1814	24	138	𝑡	𝑡	PROPN
iajs-1814	24	139	𝛽	𝛽	NOUN
iajs-1814	24	140	ln2	ln2	ADJ
iajs-1814	24	141	1	1	NUM
iajs-1814	24	142	𝑛	𝑛	PRON
iajs-1814	24	143	𝛽	𝛽	NOUN
iajs-1814	24	144	𝑡	𝑡	PART
iajs-1814	24	145	𝑡	𝑡	NOUN
iajs-1814	24	146	ln2	ln2	ADJ
iajs-1814	24	147	1	1	NUM
iajs-1814	24	148	𝑛	𝑛	PROPN
iajs-1814	24	149	17	17	NUM
iajs-1814	24	150	then	then	ADV
iajs-1814	24	151	the	the	DET
iajs-1814	24	152	approximate	approximate	ADJ
iajs-1814	24	153	estimation	estimation	NOUN
iajs-1814	24	154	of	of	ADP
iajs-1814	24	155	reliability	reliability	NOUN
iajs-1814	24	156	function	function	NOUN
iajs-1814	24	157	for	for	ADP
iajs-1814	24	158	the	the	DET
iajs-1814	24	159	two	two	NUM
iajs-1814	24	160	-	-	PUNCT
iajs-1814	24	161	parameter	parameter	NOUN
iajs-1814	24	162	exponential	exponential	ADJ
iajs-1814	24	163	distribution	distribution	NOUN
iajs-1814	24	164	using	use	VERB
iajs-1814	24	165	median	median	ADJ
iajs-1814	24	166	-	-	PUNCT
iajs-1814	24	167	first	first	ADJ
iajs-1814	24	168	order	order	NOUN
iajs-1814	24	169	statistics	statistic	NOUN
iajs-1814	24	170	method	method	NOUN
iajs-1814	24	171	(	(	PUNCT
iajs-1814	24	172	md	md	PROPN
iajs-1814	24	173	)	)	PUNCT
iajs-1814	24	174	will	will	AUX
iajs-1814	24	175	be	be	AUX
iajs-1814	24	176	𝑅	𝑅	NOUN
iajs-1814	24	177	𝑒𝑥𝑝	𝑒𝑥𝑝	INTJ
iajs-1814	24	178	𝑡	𝑡	PROPN
iajs-1814	24	179	𝛼	𝛼	PROPN
iajs-1814	24	180	𝛽	𝛽	PROPN
iajs-1814	24	181	18	18	NUM
iajs-1814	24	182	ridge	ridge	NOUN
iajs-1814	24	183	regression	regression	NOUN
iajs-1814	24	184	method	method	NOUN
iajs-1814	24	185	(	(	PUNCT
iajs-1814	24	186	rr	rr	NOUN
iajs-1814	24	187	)	)	PUNCT
iajs-1814	24	188	"	"	PUNCT
iajs-1814	24	189	the	the	DET
iajs-1814	24	190	ridge	ridge	NOUN
iajs-1814	24	191	regression	regression	NOUN
iajs-1814	24	192	(	(	PUNCT
iajs-1814	24	193	rr	rr	NOUN
iajs-1814	24	194	)	)	PUNCT
iajs-1814	24	195	estimates	estimate	NOUN
iajs-1814	24	196	of	of	ADP
iajs-1814	24	197	a	a	PRON
iajs-1814	24	198	and	and	CCONJ
iajs-1814	24	199	b	b	NOUN
iajs-1814	24	200	can	can	AUX
iajs-1814	24	201	be	be	AUX
iajs-1814	24	202	obtained	obtain	VERB
iajs-1814	24	203	by	by	ADP
iajs-1814	24	204	minimizing	minimize	VERB
iajs-1814	24	205	the	the	DET
iajs-1814	24	206	error	error	NOUN
iajs-1814	24	207	sum	sum	NOUN
iajs-1814	24	208	of	of	ADP
iajs-1814	24	209	squares	square	NOUN
iajs-1814	24	210	for	for	ADP
iajs-1814	24	211	the	the	DET
iajs-1814	24	212	model	model	NOUN
iajs-1814	24	213	𝑌	𝑌	PROPN
iajs-1814	24	214	=	=	SYM
iajs-1814	24	215	a+b𝑋	a+b𝑋	PROPN
iajs-1814	24	216	subject	subject	NOUN
iajs-1814	24	217	to	to	ADP
iajs-1814	24	218	the	the	DET
iajs-1814	24	219	single	single	ADJ
iajs-1814	24	220	constraint	constraint	NOUN
iajs-1814	24	221	that	that	PRON
iajs-1814	24	222	a2+b2=	a2+b2=	ADP
iajs-1814	24	223	ρ	ρ	NUM
iajs-1814	24	224	where	where	SCONJ
iajs-1814	24	225	ρ	ρ	PROPN
iajs-1814	24	226	is	be	AUX
iajs-1814	24	227	a	a	DET
iajs-1814	24	228	finite	finite	ADJ
iajs-1814	24	229	positive	positive	ADJ
iajs-1814	24	230	constant	constant	ADJ
iajs-1814	24	231	"	"	PUNCT
iajs-1814	24	232	;	;	PUNCT
iajs-1814	24	233	[	[	X
iajs-1814	24	234	1	1	NUM
iajs-1814	24	235	]	]	PUNCT
iajs-1814	24	236	.	.	PUNCT
iajs-1814	25	1	i.e.	i.e.	X
iajs-1814	25	2	;	;	PUNCT
iajs-1814	25	3	𝐿	𝐿	PROPN
iajs-1814	25	4	∑	∑	PROPN
iajs-1814	25	5	𝑌	𝑌	PROPN
iajs-1814	25	6	𝑎	𝑎	PROPN
iajs-1814	25	7	𝑏𝑋	𝑏𝑋	PROPN
iajs-1814	25	8	λ(𝑎	λ(𝑎	X
iajs-1814	25	9	𝑏	𝑏	PRON
iajs-1814	25	10	𝜌	𝜌	PART
iajs-1814	25	11	w.r.t	w.r.t	VERB
iajs-1814	25	12	a	a	PRON
iajs-1814	25	13	and	and	CCONJ
iajs-1814	25	14	b.	b.	PROPN
iajs-1814	25	15	when	when	SCONJ
iajs-1814	25	16	these	these	DET
iajs-1814	25	17	derivatives	derivative	NOUN
iajs-1814	25	18	are	be	AUX
iajs-1814	25	19	equated	equate	VERB
iajs-1814	25	20	to	to	ADP
iajs-1814	25	21	zero	zero	NUM
iajs-1814	25	22	,	,	PUNCT
iajs-1814	25	23	we	we	PRON
iajs-1814	25	24	obtain	obtain	VERB
iajs-1814	25	25	the	the	DET
iajs-1814	25	26	following	follow	VERB
iajs-1814	25	27	two	two	NUM
iajs-1814	25	28	equations	equation	NOUN
iajs-1814	25	29	𝑌	𝑌	PROPN
iajs-1814	25	30	𝑛	𝑛	VERB
iajs-1814	25	31	𝜆	𝜆	ADP
iajs-1814	25	32	𝑎	𝑎	X
iajs-1814	25	33	𝑏	𝑏	NOUN
iajs-1814	25	34	𝑋	𝑋	PROPN
iajs-1814	25	35	𝑋	𝑋	PROPN
iajs-1814	25	36	𝑌	𝑌	PROPN
iajs-1814	25	37	𝑎	𝑎	PROPN
iajs-1814	25	38	𝑋	𝑋	PROPN
iajs-1814	25	39	𝑏	𝑏	PROPN
iajs-1814	25	40	𝜆	𝜆	DET
iajs-1814	25	41	𝑋	𝑋	PROPN
iajs-1814	25	42	solving	solve	VERB
iajs-1814	25	43	above	above	ADP
iajs-1814	25	44	two	two	NUM
iajs-1814	25	45	equations	equation	NOUN
iajs-1814	25	46	for	for	ADP
iajs-1814	25	47	a	a	PRON
iajs-1814	25	48	and	and	CCONJ
iajs-1814	25	49	b	b	NOUN
iajs-1814	25	50	we	we	PRON
iajs-1814	25	51	get	get	VERB
iajs-1814	25	52	𝑎	𝑎	NOUN
iajs-1814	25	53	∑	∑	PUNCT
iajs-1814	25	54	x	x	SYM
iajs-1814	25	55	∑	∑	PUNCT
iajs-1814	25	56	x	x	PUNCT
iajs-1814	25	57	y	y	PROPN
iajs-1814	25	58	∑	∑	PROPN
iajs-1814	25	59	y	y	PROPN
iajs-1814	25	60	λ	λ	PROPN
iajs-1814	25	61	∑	∑	PUNCT
iajs-1814	25	62	x	x	X
iajs-1814	25	63	∑	∑	PUNCT
iajs-1814	25	64	x	x	PROPN
iajs-1814	25	65	n	n	ADP
iajs-1814	25	66	λ	λ	X
iajs-1814	25	67	λ	λ	PROPN
iajs-1814	25	68	∑	∑	PUNCT
iajs-1814	25	69	x	x	SYM
iajs-1814	25	70	𝑏	𝑏	PROPN
iajs-1814	25	71	∑	∑	PROPN
iajs-1814	25	72	𝑋	𝑋	PROPN
iajs-1814	25	73	∑	∑	PUNCT
iajs-1814	25	74	𝑌	𝑌	PROPN
iajs-1814	25	75	𝑛	𝑛	PROPN
iajs-1814	25	76	𝜆	𝜆	PRON
iajs-1814	25	77	∑	∑	PUNCT
iajs-1814	25	78	𝑋	𝑋	PROPN
iajs-1814	25	79	𝑌	𝑌	PROPN
iajs-1814	25	80	∑	∑	PUNCT
iajs-1814	25	81	𝑋	𝑋	PROPN
iajs-1814	25	82	𝑛	𝑛	PROPN
iajs-1814	25	83	𝜆	𝜆	PRON
iajs-1814	25	84	𝜆	𝜆	PRON
iajs-1814	25	85	∑	∑	PUNCT
iajs-1814	25	86	𝑋	𝑋	PROPN
iajs-1814	25	87	for	for	ADP
iajs-1814	25	88	two	two	NUM
iajs-1814	25	89	parameter	parameter	NOUN
iajs-1814	25	90	exponential	exponential	ADJ
iajs-1814	25	91	distribution	distribution	NOUN
iajs-1814	25	92	when	when	SCONJ
iajs-1814	25	93	α	α	PROPN
iajs-1814	25	94	is	be	AUX
iajs-1814	25	95	known	know	VERB
iajs-1814	25	96	we	we	PRON
iajs-1814	25	97	recognize	recognize	VERB
iajs-1814	25	98	that	that	SCONJ
iajs-1814	25	99	𝑌	𝑌	PROPN
iajs-1814	25	100	=	=	SYM
iajs-1814	25	101	𝑡	𝑡	PROPN
iajs-1814	25	102	,	,	PUNCT
iajs-1814	25	103	b	b	X
iajs-1814	25	104	=	=	SYM
iajs-1814	25	105	𝛽	𝛽	PROPN
iajs-1814	25	106	ihsciconf	ihsciconf	NOUN
iajs-1814	25	107	2017	2017	NUM
iajs-1814	25	108	special	special	ADJ
iajs-1814	25	109	issue	issue	NOUN
iajs-1814	25	110	ibn	ibn	PROPN
iajs-1814	25	111	al	al	PROPN
iajs-1814	25	112	-	-	PUNCT
iajs-1814	25	113	haitham	haitham	PROPN
iajs-1814	25	114	journal	journal	PROPN
iajs-1814	25	115	for	for	ADP
iajs-1814	25	116	pure	pure	ADJ
iajs-1814	25	117	and	and	CCONJ
iajs-1814	25	118	applied	apply	VERB
iajs-1814	25	119	science	science	NOUN
iajs-1814	25	120	https://doi.org/	https://doi.org/	NOUN
iajs-1814	25	121	10.30526/2017.ihsciconf.1814	10.30526/2017.ihsciconf.1814	NUM
iajs-1814	25	122	for	for	ADP
iajs-1814	25	123	more	more	ADJ
iajs-1814	25	124	information	information	NOUN
iajs-1814	25	125	about	about	ADP
iajs-1814	25	126	the	the	DET
iajs-1814	25	127	conference	conference	NOUN
iajs-1814	25	128	please	please	INTJ
iajs-1814	25	129	visit	visit	VERB
iajs-1814	25	130	the	the	DET
iajs-1814	25	131	websites	website	NOUN
iajs-1814	25	132	:	:	PUNCT
iajs-1814	25	133	http://www.ihsciconf.org/conf/	http://www.ihsciconf.org/conf/	VERB
iajs-1814	25	134	   	   	SPACE
iajs-1814	25	135	www.ihsciconf.org	www.ihsciconf.org	ADJ
iajs-1814	25	136	   	   	SPACE
iajs-1814	25	137	mathematics	mathematic	NOUN
iajs-1814	25	138	|	|	ADV
iajs-1814	25	139	414	414	NUM
iajs-1814	25	140	  	  	SPACE
iajs-1814	25	141	𝑋	𝑋	NOUN
iajs-1814	25	142	=	=	PUNCT
iajs-1814	26	1	[	[	X
iajs-1814	26	2	-ln	-ln	X
iajs-1814	26	3	(	(	PUNCT
iajs-1814	26	4	1	1	NUM
iajs-1814	26	5	-	-	SYM
iajs-1814	26	6	f	f	X
iajs-1814	26	7	(	(	PUNCT
iajs-1814	26	8	𝑡	𝑡	PROPN
iajs-1814	26	9	)	)	PUNCT
iajs-1814	26	10	)	)	PUNCT
iajs-1814	26	11	]	]	PUNCT
iajs-1814	27	1	𝑖	𝑖	X
iajs-1814	27	2	=	=	SYM
iajs-1814	27	3	1	1	NUM
iajs-1814	27	4	,	,	PUNCT
iajs-1814	27	5	2	2	NUM
iajs-1814	27	6	,	,	PUNCT
iajs-1814	27	7	…	…	PUNCT
iajs-1814	27	8	,	,	PUNCT
iajs-1814	27	9	n	n	X
iajs-1814	27	10	.	.	PUNCT
iajs-1814	28	1	𝛽	𝛽	NOUN
iajs-1814	28	2	∑	∑	PUNCT
iajs-1814	28	3	𝑡	𝑡	X
iajs-1814	28	4	∑	∑	PROPN
iajs-1814	28	5	ln	ln	PROPN
iajs-1814	28	6	1	1	NUM
iajs-1814	28	7	𝐹	𝐹	PROPN
iajs-1814	28	8	𝑡	𝑡	VERB
iajs-1814	28	9	𝑛	𝑛	PROPN
iajs-1814	28	10	𝜆	𝜆	PRON
iajs-1814	28	11	∑	∑	PUNCT
iajs-1814	28	12	𝑡	𝑡	PROPN
iajs-1814	28	13	ln	ln	ADJ
iajs-1814	28	14	1	1	NUM
iajs-1814	28	15	𝐹	𝐹	PROPN
iajs-1814	28	16	𝑡	𝑡	VERB
iajs-1814	28	17	∑	∑	PROPN
iajs-1814	28	18	ln	ln	PROPN
iajs-1814	28	19	1	1	NUM
iajs-1814	28	20	𝐹	𝐹	PROPN
iajs-1814	28	21	𝑡	𝑡	VERB
iajs-1814	28	22	𝑛	𝑛	PROPN
iajs-1814	28	23	𝜆	𝜆	PRON
iajs-1814	28	24	𝜆	𝜆	DET
iajs-1814	28	25	∑	∑	PUNCT
iajs-1814	28	26	ln	ln	ADJ
iajs-1814	28	27	1	1	NUM
iajs-1814	28	28	𝐹	𝐹	PROPN
iajs-1814	28	29	𝑡	𝑡	PROPN
iajs-1814	28	30	19	19	NUM
iajs-1814	28	31	then	then	ADV
iajs-1814	28	32	the	the	DET
iajs-1814	28	33	approximate	approximate	ADJ
iajs-1814	28	34	estimation	estimation	NOUN
iajs-1814	28	35	of	of	ADP
iajs-1814	28	36	reliability	reliability	NOUN
iajs-1814	28	37	function	function	NOUN
iajs-1814	28	38	for	for	ADP
iajs-1814	28	39	the	the	DET
iajs-1814	28	40	two	two	NUM
iajs-1814	28	41	-	-	PUNCT
iajs-1814	28	42	parameter	parameter	NOUN
iajs-1814	28	43	exponential	exponential	ADJ
iajs-1814	28	44	distribution	distribution	NOUN
iajs-1814	28	45	using	use	VERB
iajs-1814	28	46	ridge	ridge	NOUN
iajs-1814	28	47	regression	regression	NOUN
iajs-1814	28	48	technique	technique	NOUN
iajs-1814	28	49	(	(	PUNCT
iajs-1814	28	50	rr	rr	NOUN
iajs-1814	28	51	)	)	PUNCT
iajs-1814	28	52	will	will	AUX
iajs-1814	28	53	be	be	AUX
iajs-1814	28	54	𝑅	𝑅	NOUN
iajs-1814	28	55	𝑒𝑥𝑝	𝑒𝑥𝑝	INTJ
iajs-1814	28	56	𝑡	𝑡	PROPN
iajs-1814	28	57	𝛼	𝛼	NOUN
iajs-1814	28	58	𝛽	𝛽	NOUN
iajs-1814	28	59	20	20	NUM
iajs-1814	28	60	where	where	SCONJ
iajs-1814	28	61	0	0	NUM
iajs-1814	28	62	<	<	NOUN
iajs-1814	28	63	λ<1	λ<1	NOUN
iajs-1814	28	64	is	be	AUX
iajs-1814	28	65	the	the	DET
iajs-1814	28	66	ridge	ridge	NOUN
iajs-1814	28	67	coefficient	coefficient	NOUN
iajs-1814	28	68	.	.	PUNCT
iajs-1814	29	1	the	the	DET
iajs-1814	29	2	present	present	ADJ
iajs-1814	29	3	paper	paper	NOUN
iajs-1814	29	4	suggested	suggest	VERB
iajs-1814	29	5	λ=	λ=	NOUN
iajs-1814	29	6	exp((-n+1	exp((-n+1	NOUN
iajs-1814	29	7	)	)	PUNCT
iajs-1814	29	8	/	/	SYM
iajs-1814	29	9	(	(	PUNCT
iajs-1814	29	10	n2	n2	NOUN
iajs-1814	29	11	)	)	PUNCT
iajs-1814	29	12	)	)	PUNCT
iajs-1814	29	13	and	and	CCONJ
iajs-1814	29	14	0	0	NUM
iajs-1814	29	15	<	<	X
iajs-1814	29	16	exp((-n+1	exp((-n+1	NOUN
iajs-1814	29	17	)	)	PUNCT
iajs-1814	29	18	/	/	SYM
iajs-1814	29	19	(	(	PUNCT
iajs-1814	29	20	n2	n2	NOUN
iajs-1814	29	21	)	)	PUNCT
iajs-1814	29	22	)	)	PUNCT
iajs-1814	30	1	<	<	X
iajs-1814	30	2	1	1	X
iajs-1814	30	3	.	.	PUNCT
iajs-1814	30	4	modified	modify	VERB
iajs-1814	30	5	thompson	thompson	NOUN
iajs-1814	30	6	-	-	PUNCT
iajs-1814	30	7	type	type	NOUN
iajs-1814	30	8	shrinkage	shrinkage	NOUN
iajs-1814	30	9	estimator	estimator	NOUN
iajs-1814	30	10	"	"	PUNCT
iajs-1814	30	11	the	the	DET
iajs-1814	30	12	shrinkage	shrinkage	NOUN
iajs-1814	30	13	estimation	estimation	NOUN
iajs-1814	30	14	method	method	NOUN
iajs-1814	30	15	is	be	AUX
iajs-1814	30	16	the	the	DET
iajs-1814	30	17	bayesian	bayesian	NOUN
iajs-1814	30	18	approach	approach	NOUN
iajs-1814	30	19	depending	depend	VERB
iajs-1814	30	20	on	on	ADP
iajs-1814	30	21	prior	prior	ADJ
iajs-1814	30	22	information	information	NOUN
iajs-1814	30	23	regarding	regard	VERB
iajs-1814	30	24	the	the	DET
iajs-1814	30	25	value	value	NOUN
iajs-1814	30	26	of	of	ADP
iajs-1814	30	27	the	the	DET
iajs-1814	30	28	specific	specific	ADJ
iajs-1814	30	29	parameter	parameter	NOUN
iajs-1814	30	30	𝜃	𝜃	NOUN
iajs-1814	30	31	from	from	ADP
iajs-1814	30	32	past	past	ADJ
iajs-1814	30	33	experiences	experience	NOUN
iajs-1814	30	34	or	or	CCONJ
iajs-1814	30	35	previous	previous	ADJ
iajs-1814	30	36	studies	study	NOUN
iajs-1814	30	37	.	.	PUNCT
iajs-1814	31	1	however	however	ADV
iajs-1814	31	2	,	,	PUNCT
iajs-1814	31	3	in	in	ADP
iajs-1814	31	4	certain	certain	ADJ
iajs-1814	31	5	situations	situation	NOUN
iajs-1814	31	6	,	,	PUNCT
iajs-1814	31	7	prior	prior	ADJ
iajs-1814	31	8	information	information	NOUN
iajs-1814	31	9	is	be	AUX
iajs-1814	31	10	available	available	ADJ
iajs-1814	31	11	only	only	ADV
iajs-1814	31	12	from	from	ADP
iajs-1814	31	13	of	of	ADP
iajs-1814	31	14	an	an	DET
iajs-1814	31	15	initial	initial	ADJ
iajs-1814	31	16	guess	guess	NOUN
iajs-1814	31	17	value	value	NOUN
iajs-1814	31	18	(	(	PUNCT
iajs-1814	31	19	natural	natural	ADJ
iajs-1814	31	20	origin	origin	NOUN
iajs-1814	31	21	)	)	PUNCT
iajs-1814	32	1	𝜃	𝜃	NOUN
iajs-1814	32	2	°	°	NOUN
iajs-1814	32	3	of	of	ADP
iajs-1814	32	4	𝜃";[10	𝜃";[10	PROPN
iajs-1814	32	5	]	]	PUNCT
iajs-1814	32	6	.	.	PUNCT
iajs-1814	33	1	in	in	ADP
iajs-1814	33	2	such	such	DET
iajs-1814	33	3	a	a	DET
iajs-1814	33	4	situation	situation	NOUN
iajs-1814	33	5	,	,	PUNCT
iajs-1814	33	6	it	it	PRON
iajs-1814	33	7	is	be	AUX
iajs-1814	33	8	natural	natural	ADJ
iajs-1814	33	9	to	to	PART
iajs-1814	33	10	begin	begin	VERB
iajs-1814	33	11	with	with	ADP
iajs-1814	33	12	𝜃	𝜃	PROPN
iajs-1814	33	13	(	(	PUNCT
iajs-1814	33	14	e.g.	e.g.	ADV
iajs-1814	33	15	,	,	PUNCT
iajs-1814	33	16	mle	mle	NOUN
iajs-1814	33	17	)	)	PUNCT
iajs-1814	33	18	and	and	CCONJ
iajs-1814	33	19	adapt	adapt	VERB
iajs-1814	33	20	it	it	PRON
iajs-1814	33	21	by	by	ADP
iajs-1814	33	22	touching	touch	VERB
iajs-1814	33	23	𝜃	𝜃	NOUN
iajs-1814	33	24	°	°	NOUN
iajs-1814	33	25	.thompson	.thompson	PRON
iajs-1814	33	26	has	have	AUX
iajs-1814	33	27	suggested	suggest	VERB
iajs-1814	33	28	the	the	DET
iajs-1814	33	29	problem	problem	NOUN
iajs-1814	33	30	of	of	ADP
iajs-1814	33	31	shrink	shrink	NOUN
iajs-1814	33	32	an	an	DET
iajs-1814	33	33	unbiased	unbiased	ADJ
iajs-1814	33	34	estimator	estimator	NOUN
iajs-1814	33	35	𝜃	𝜃	PROPN
iajs-1814	33	36	of	of	ADP
iajs-1814	33	37	the	the	DET
iajs-1814	33	38	parameter	parameter	NOUN
iajs-1814	33	39	𝜃	𝜃	NOUN
iajs-1814	33	40	toward	toward	ADP
iajs-1814	33	41	prior	prior	ADJ
iajs-1814	33	42	information	information	NOUN
iajs-1814	33	43	(	(	PUNCT
iajs-1814	33	44	a	a	DET
iajs-1814	33	45	natural	natural	ADJ
iajs-1814	33	46	origin	origin	NOUN
iajs-1814	33	47	)	)	PUNCT
iajs-1814	33	48	𝜃	𝜃	X
iajs-1814	33	49	°	°	NOUN
iajs-1814	33	50	by	by	ADP
iajs-1814	33	51	shrinkage	shrinkage	NOUN
iajs-1814	33	52	estimator	estimator	NOUN
iajs-1814	33	53	𝜓	𝜓	PROPN
iajs-1814	33	54	𝜃	𝜃	PROPN
iajs-1814	33	55	𝜃	𝜃	NUM
iajs-1814	33	56	1	1	NUM
iajs-1814	33	57	𝜓	𝜓	NOUN
iajs-1814	33	58	𝜃	𝜃	PROPN
iajs-1814	33	59	𝜃	𝜃	NOUN
iajs-1814	33	60	°	°	NUM
iajs-1814	33	61	,	,	PUNCT
iajs-1814	33	62	0	0	NUM
iajs-1814	33	63	𝜓	𝜓	NOUN
iajs-1814	33	64	𝜃	𝜃	NOUN
iajs-1814	33	65	1	1	NUM
iajs-1814	33	66	,	,	PUNCT
iajs-1814	33	67	which	which	PRON
iajs-1814	33	68	is	be	AUX
iajs-1814	33	69	more	more	ADV
iajs-1814	33	70	efficient	efficient	ADJ
iajs-1814	33	71	than	than	ADP
iajs-1814	33	72	𝜃	𝜃	NOUN
iajs-1814	33	73	if	if	SCONJ
iajs-1814	33	74	𝜃	𝜃	NOUN
iajs-1814	33	75	°	°	PRON
iajs-1814	33	76	is	be	AUX
iajs-1814	33	77	close	close	ADJ
iajs-1814	33	78	to	to	ADP
iajs-1814	33	79	𝜃	𝜃	NOUN
iajs-1814	33	80	and	and	CCONJ
iajs-1814	33	81	less	less	ADV
iajs-1814	33	82	efficient	efficient	ADJ
iajs-1814	33	83	than	than	ADP
iajs-1814	33	84	𝜃	𝜃	PRON
iajs-1814	33	85	otherwise	otherwise	ADV
iajs-1814	33	86	;	;	PUNCT
iajs-1814	33	87	[	[	X
iajs-1814	33	88	10	10	NUM
iajs-1814	33	89	]	]	PUNCT
iajs-1814	33	90	.	.	PUNCT
iajs-1814	34	1	"	"	PUNCT
iajs-1814	34	2	the	the	DET
iajs-1814	34	3	prior	prior	ADJ
iajs-1814	34	4	information	information	NOUN
iajs-1814	34	5	𝜃	𝜃	NOUN
iajs-1814	34	6	°	°	PROPN
iajs-1814	34	7	is	be	AUX
iajs-1814	34	8	a	a	DET
iajs-1814	34	9	natural	natural	ADJ
iajs-1814	34	10	origin	origin	NOUN
iajs-1814	34	11	and	and	CCONJ
iajs-1814	34	12	,	,	PUNCT
iajs-1814	34	13	as	as	ADP
iajs-1814	34	14	such	such	ADJ
iajs-1814	34	15	,	,	PUNCT
iajs-1814	34	16	may	may	AUX
iajs-1814	34	17	arise	arise	VERB
iajs-1814	34	18	for	for	ADP
iajs-1814	34	19	any	any	DET
iajs-1814	34	20	one	one	NUM
iajs-1814	34	21	of	of	ADP
iajs-1814	34	22	a	a	DET
iajs-1814	34	23	number	number	NOUN
iajs-1814	34	24	of	of	ADP
iajs-1814	34	25	reasons	reason	NOUN
iajs-1814	34	26	e.g.	e.g.	ADV
iajs-1814	34	27	,	,	PUNCT
iajs-1814	34	28	we	we	PRON
iajs-1814	34	29	are	be	AUX
iajs-1814	34	30	estimating	estimate	VERB
iajs-1814	34	31	𝜃	𝜃	PUNCT
iajs-1814	34	32	and	and	CCONJ
iajs-1814	34	33	(	(	PUNCT
iajs-1814	34	34	a	a	X
iajs-1814	34	35	)	)	PUNCT
iajs-1814	34	36	we	we	PRON
iajs-1814	34	37	believe	believe	VERB
iajs-1814	34	38	𝜃	𝜃	NOUN
iajs-1814	34	39	°	°	PROPN
iajs-1814	34	40	is	be	AUX
iajs-1814	34	41	closed	close	VERB
iajs-1814	34	42	to	to	ADP
iajs-1814	34	43	the	the	DET
iajs-1814	34	44	true	true	ADJ
iajs-1814	34	45	value	value	NOUN
iajs-1814	34	46	of	of	ADP
iajs-1814	34	47	𝜃	𝜃	PROPN
iajs-1814	34	48	,	,	PUNCT
iajs-1814	34	49	or	or	CCONJ
iajs-1814	34	50	(	(	PUNCT
iajs-1814	34	51	b	b	X
iajs-1814	34	52	)	)	PUNCT
iajs-1814	34	53	we	we	PRON
iajs-1814	34	54	fear	fear	VERB
iajs-1814	34	55	that	that	SCONJ
iajs-1814	34	56	𝜃	𝜃	NOUN
iajs-1814	34	57	°	°	PROPN
iajs-1814	34	58	may	may	AUX
iajs-1814	34	59	be	be	AUX
iajs-1814	34	60	near	near	ADP
iajs-1814	34	61	the	the	DET
iajs-1814	34	62	true	true	ADJ
iajs-1814	34	63	value	value	NOUN
iajs-1814	34	64	of	of	ADP
iajs-1814	34	65	𝜃	𝜃	PROPN
iajs-1814	34	66	,	,	PUNCT
iajs-1814	34	67	that	that	ADV
iajs-1814	34	68	is	is	ADV
iajs-1814	34	69	,	,	PUNCT
iajs-1814	34	70	something	something	PRON
iajs-1814	34	71	bad	bad	ADJ
iajs-1814	34	72	happens	happen	VERB
iajs-1814	34	73	if	if	SCONJ
iajs-1814	34	74	𝜃	𝜃	NOUN
iajs-1814	34	75	°	°	NOUN
iajs-1814	34	76	𝜃	𝜃	NOUN
iajs-1814	34	77	,	,	PUNCT
iajs-1814	34	78	and	and	CCONJ
iajs-1814	34	79	we	we	PRON
iajs-1814	34	80	do	do	AUX
iajs-1814	34	81	not	not	PART
iajs-1814	34	82	know	know	VERB
iajs-1814	34	83	about	about	ADP
iajs-1814	34	84	it	it	PRON
iajs-1814	34	85	(	(	PUNCT
iajs-1814	34	86	that	that	PRON
iajs-1814	34	87	is	is	ADV
iajs-1814	34	88	,	,	PUNCT
iajs-1814	34	89	something	something	PRON
iajs-1814	34	90	bad	bad	ADJ
iajs-1814	34	91	happens	happen	VERB
iajs-1814	34	92	if	if	SCONJ
iajs-1814	34	93	𝜃	𝜃	NOUN
iajs-1814	34	94	°	°	NUM
iajs-1814	34	95	𝜃	𝜃	VERB
iajs-1814	35	1	and	and	CCONJ
iajs-1814	35	2	we	we	PRON
iajs-1814	35	3	do	do	AUX
iajs-1814	35	4	not	not	PART
iajs-1814	35	5	use	use	VERB
iajs-1814	35	6	𝜃	𝜃	NOUN
iajs-1814	35	7	°	°	NUM
iajs-1814	35	8	"	"	PUNCT
iajs-1814	35	9	;	;	PUNCT
iajs-1814	35	10	[	[	X
iajs-1814	35	11	2],[10	2],[10	NUM
iajs-1814	35	12	]	]	PUNCT
iajs-1814	35	13	.	.	PUNCT
iajs-1814	36	1	where	where	SCONJ
iajs-1814	36	2	,	,	PUNCT
iajs-1814	36	3	𝜓	𝜓	PROPN
iajs-1814	36	4	𝜃	𝜃	PROPN
iajs-1814	36	5	is	be	AUX
iajs-1814	36	6	so	so	ADV
iajs-1814	36	7	called	call	VERB
iajs-1814	36	8	shrinkage	shrinkage	NOUN
iajs-1814	36	9	weight	weight	NOUN
iajs-1814	36	10	factor	factor	NOUN
iajs-1814	36	11	;	;	PUNCT
iajs-1814	36	12	0	0	NUM
iajs-1814	36	13	𝜓	𝜓	NOUN
iajs-1814	36	14	𝜃	𝜃	PROPN
iajs-1814	36	15	1	1	NUM
iajs-1814	36	16	which	which	PRON
iajs-1814	36	17	represent	represent	VERB
iajs-1814	36	18	the	the	DET
iajs-1814	36	19	belief	belief	NOUN
iajs-1814	36	20	of	of	ADP
iajs-1814	36	21	𝜃	𝜃	PRON
iajs-1814	36	22	,	,	PUNCT
iajs-1814	36	23	and	and	CCONJ
iajs-1814	36	24	(	(	PUNCT
iajs-1814	36	25	1𝜓	1𝜓	NOUN
iajs-1814	36	26	𝜃	𝜃	NOUN
iajs-1814	36	27	)	)	PUNCT
iajs-1814	36	28	represent	represent	VERB
iajs-1814	36	29	the	the	DET
iajs-1814	36	30	belief	belief	NOUN
iajs-1814	36	31	of	of	ADP
iajs-1814	36	32	𝜃	𝜃	NOUN
iajs-1814	36	33	°	°	PRON
iajs-1814	36	34	.thompson	.thompson	NOUN
iajs-1814	36	35	noting	note	VERB
iajs-1814	36	36	that	that	SCONJ
iajs-1814	36	37	the	the	DET
iajs-1814	36	38	shrinkage	shrinkage	NOUN
iajs-1814	36	39	weight	weight	NOUN
iajs-1814	36	40	factor	factor	NOUN
iajs-1814	36	41	may	may	AUX
iajs-1814	36	42	be	be	AUX
iajs-1814	36	43	a	a	DET
iajs-1814	36	44	function	function	NOUN
iajs-1814	36	45	of	of	ADP
iajs-1814	36	46	𝜃	𝜃	PRON
iajs-1814	36	47	or	or	CCONJ
iajs-1814	36	48	may	may	AUX
iajs-1814	36	49	be	be	AUX
iajs-1814	36	50	constant	constant	ADJ
iajs-1814	36	51	and	and	CCONJ
iajs-1814	36	52	the	the	DET
iajs-1814	36	53	chosen	choose	VERB
iajs-1814	36	54	of	of	ADP
iajs-1814	36	55	the	the	DET
iajs-1814	36	56	shrinkage	shrinkage	NOUN
iajs-1814	36	57	weight	weight	NOUN
iajs-1814	36	58	factor	factor	NOUN
iajs-1814	36	59	is	be	AUX
iajs-1814	36	60	(	(	PUNCT
iajs-1814	36	61	ad	ad	X
iajs-1814	36	62	hoc	hoc	X
iajs-1814	36	63	basis	basis	NOUN
iajs-1814	36	64	)	)	PUNCT
iajs-1814	36	65	.	.	PUNCT
iajs-1814	37	1	the	the	DET
iajs-1814	37	2	shrinkage	shrinkage	NOUN
iajs-1814	37	3	weight	weight	NOUN
iajs-1814	37	4	function	function	NOUN
iajs-1814	37	5	ψ	ψ	X
iajs-1814	37	6	θ	θ	PROPN
iajs-1814	37	7	can	can	AUX
iajs-1814	37	8	be	be	AUX
iajs-1814	37	9	found	find	VERB
iajs-1814	37	10	by	by	ADP
iajs-1814	37	11	minimizing	minimize	VERB
iajs-1814	37	12	the	the	DET
iajs-1814	37	13	mean	mean	ADJ
iajs-1814	37	14	square	square	ADJ
iajs-1814	37	15	error	error	NOUN
iajs-1814	37	16	of	of	ADP
iajs-1814	37	17	θ	θ	NOUN
iajs-1814	37	18	:	:	PUNCT
iajs-1814	37	19	𝑀𝑆𝐸	𝑀𝑆𝐸	ADP
iajs-1814	37	20	𝜃	𝜃	NOUN
iajs-1814	37	21	𝐸	𝐸	NOUN
iajs-1814	38	1	𝜃	𝜃	NOUN
iajs-1814	38	2	𝜃	𝜃	NUM
iajs-1814	38	3	21	21	NUM
iajs-1814	38	4	𝐸	𝐸	PROPN
iajs-1814	38	5	𝜓	𝜓	PROPN
iajs-1814	38	6	𝜃	𝜃	PUNCT
iajs-1814	38	7	𝜃	𝜃	SYM
iajs-1814	38	8	1	1	NUM
iajs-1814	38	9	𝜓	𝜓	NOUN
iajs-1814	38	10	𝜃	𝜃	PROPN
iajs-1814	38	11	𝜃	𝜃	NOUN
iajs-1814	38	12	°	°	NUM
iajs-1814	38	13	𝜃	𝜃	X
iajs-1814	38	14	the	the	DET
iajs-1814	38	15	partial	partial	ADJ
iajs-1814	38	16	derivative	derivative	NOUN
iajs-1814	38	17	for	for	ADP
iajs-1814	38	18	above	above	ADP
iajs-1814	38	19	equation	equation	NOUN
iajs-1814	38	20	w	w	PROPN
iajs-1814	38	21	.r	.r	NOUN
iajs-1814	38	22	.	.	PUNCT
iajs-1814	39	1	t.	t.	NOUN
iajs-1814	39	2	to	to	ADP
iajs-1814	39	3	𝜓	𝜓	PROPN
iajs-1814	39	4	𝜃	𝜃	PROPN
iajs-1814	39	5	is	be	AUX
iajs-1814	39	6	ihsciconf	ihsciconf	ADJ
iajs-1814	39	7	2017	2017	NUM
iajs-1814	39	8	special	special	ADJ
iajs-1814	39	9	issue	issue	NOUN
iajs-1814	39	10	ibn	ibn	PROPN
iajs-1814	39	11	al	al	PROPN
iajs-1814	39	12	-	-	PUNCT
iajs-1814	39	13	haitham	haitham	PROPN
iajs-1814	39	14	journal	journal	PROPN
iajs-1814	39	15	for	for	ADP
iajs-1814	39	16	pure	pure	ADJ
iajs-1814	39	17	and	and	CCONJ
iajs-1814	39	18	applied	apply	VERB
iajs-1814	39	19	science	science	NOUN
iajs-1814	39	20	https://doi.org/	https://doi.org/	NOUN
iajs-1814	39	21	10.30526/2017.ihsciconf.1814	10.30526/2017.ihsciconf.1814	NUM
iajs-1814	39	22	for	for	ADP
iajs-1814	39	23	more	more	ADJ
iajs-1814	39	24	information	information	NOUN
iajs-1814	39	25	about	about	ADP
iajs-1814	39	26	the	the	DET
iajs-1814	39	27	conference	conference	NOUN
iajs-1814	39	28	please	please	INTJ
iajs-1814	39	29	visit	visit	VERB
iajs-1814	39	30	the	the	DET
iajs-1814	39	31	websites	website	NOUN
iajs-1814	39	32	:	:	PUNCT
iajs-1814	39	33	http://www.ihsciconf.org/conf/	http://www.ihsciconf.org/conf/	VERB
iajs-1814	39	34	   	   	SPACE
iajs-1814	39	35	www.ihsciconf.org	www.ihsciconf.org	ADJ
iajs-1814	39	36	   	   	SPACE
iajs-1814	39	37	mathematics	mathematic	NOUN
iajs-1814	39	38	|	|	ADV
iajs-1814	39	39	415	415	NUM
iajs-1814	39	40	  	  	SPACE
iajs-1814	39	41	𝜕𝑀𝑆𝐸	𝜕𝑀𝑆𝐸	NOUN
iajs-1814	39	42	𝜃	𝜃	PROPN
iajs-1814	39	43	𝜕𝜓	𝜕𝜓	NOUN
iajs-1814	39	44	𝜃	𝜃	NUM
iajs-1814	39	45	2𝜓	2𝜓	NUM
iajs-1814	39	46	𝜃	𝜃	X
iajs-1814	39	47	𝐸	𝐸	VERB
iajs-1814	39	48	𝜃	𝜃	SYM
iajs-1814	39	49	𝜃	𝜃	NOUN
iajs-1814	39	50	°	°	NUM
iajs-1814	39	51	2	2	NUM
iajs-1814	39	52	1	1	NUM
iajs-1814	39	53	𝜓	𝜓	NOUN
iajs-1814	39	54	𝜃	𝜃	X
iajs-1814	39	55	𝜃	𝜃	SYM
iajs-1814	39	56	𝜃	𝜃	NOUN
iajs-1814	39	57	°	°	NOUN
iajs-1814	39	58	22	22	NUM
iajs-1814	39	59	equating	equate	VERB
iajs-1814	39	60	equation	equation	NOUN
iajs-1814	39	61	24	24	NUM
iajs-1814	39	62	to	to	ADP
iajs-1814	39	63	zero	zero	NUM
iajs-1814	39	64	to	to	PART
iajs-1814	39	65	solve	solve	VERB
iajs-1814	39	66	this	this	DET
iajs-1814	39	67	equation	equation	NOUN
iajs-1814	39	68	:	:	PUNCT
iajs-1814	39	69	𝜕𝑀𝑆𝐸	𝜕𝑀𝑆𝐸	NOUN
iajs-1814	39	70	𝜃	𝜃	PROPN
iajs-1814	39	71	𝜕𝜓	𝜕𝜓	PROPN
iajs-1814	39	72	𝜃	𝜃	NOUN
iajs-1814	39	73	0	0	NUM
iajs-1814	39	74	2𝜓	2𝜓	NUM
iajs-1814	39	75	𝜃	𝜃	X
iajs-1814	39	76	𝑀𝑆𝐸	𝑀𝑆𝐸	NOUN
iajs-1814	39	77	𝜃	𝜃	NUM
iajs-1814	39	78	2	2	NUM
iajs-1814	39	79	1	1	NUM
iajs-1814	39	80	𝜓	𝜓	NOUN
iajs-1814	39	81	𝜃	𝜃	X
iajs-1814	39	82	𝜃	𝜃	NOUN
iajs-1814	39	83	𝜃	𝜃	NOUN
iajs-1814	39	84	°	°	NUM
iajs-1814	39	85	0	0	NUM
iajs-1814	40	1	𝜓	𝜓	X
iajs-1814	40	2	𝜃	𝜃	X
iajs-1814	40	3	𝜃	𝜃	SYM
iajs-1814	40	4	𝜃	𝜃	NOUN
iajs-1814	40	5	°	°	NOUN
iajs-1814	40	6	𝑀𝑆𝐸	𝑀𝑆𝐸	PROPN
iajs-1814	40	7	𝜃	𝜃	VERB
iajs-1814	40	8	𝜃	𝜃	NOUN
iajs-1814	40	9	𝜃	𝜃	NOUN
iajs-1814	40	10	°	°	NOUN
iajs-1814	40	11	the	the	DET
iajs-1814	40	12	modified	modify	VERB
iajs-1814	40	13	shrinkage	shrinkage	NOUN
iajs-1814	40	14	weight	weight	NOUN
iajs-1814	40	15	factor	factor	NOUN
iajs-1814	40	16	will	will	AUX
iajs-1814	40	17	be	be	AUX
iajs-1814	40	18	considered	consider	VERB
iajs-1814	40	19	as	as	ADP
iajs-1814	40	20	below	below	ADP
iajs-1814	40	21	𝜓	𝜓	PROPN
iajs-1814	40	22	𝜃	𝜃	X
iajs-1814	40	23	𝜃	𝜃	SYM
iajs-1814	40	24	𝜃	𝜃	NOUN
iajs-1814	40	25	°	°	NOUN
iajs-1814	41	1	𝑀𝑆𝐸	𝑀𝑆𝐸	PROPN
iajs-1814	41	2	𝜃	𝜃	VERB
iajs-1814	41	3	𝜃	𝜃	NOUN
iajs-1814	41	4	𝜃	𝜃	NOUN
iajs-1814	41	5	°	°	NOUN
iajs-1814	41	6	0.001	0.001	NUM
iajs-1814	41	7	23	23	NUM
iajs-1814	41	8	therefore	therefore	ADV
iajs-1814	41	9	,	,	PUNCT
iajs-1814	41	10	the	the	DET
iajs-1814	41	11	modified	modify	VERB
iajs-1814	41	12	shrinkage	shrinkage	NOUN
iajs-1814	41	13	estimator	estimator	NOUN
iajs-1814	41	14	of	of	ADP
iajs-1814	41	15	β	β	PROPN
iajs-1814	41	16	will	will	AUX
iajs-1814	41	17	be	be	AUX
iajs-1814	41	18	as	as	ADV
iajs-1814	41	19	below	below	ADV
iajs-1814	41	20	:	:	PUNCT
iajs-1814	41	21	𝛽	𝛽	PROPN
iajs-1814	41	22	𝛽	𝛽	NOUN
iajs-1814	41	23	°	°	ADP
iajs-1814	41	24	𝛽	𝛽	PRON
iajs-1814	41	25	𝛽	𝛽	PROPN
iajs-1814	41	26	°	°	NOUN
iajs-1814	41	27	𝑀𝑆𝐸	𝑀𝑆𝐸	PROPN
iajs-1814	41	28	𝛽	𝛽	NOUN
iajs-1814	41	29	𝛽	𝛽	NOUN
iajs-1814	41	30	𝛽	𝛽	PROPN
iajs-1814	41	31	°	°	PROPN
iajs-1814	41	32	∗	∗	NOUN
iajs-1814	41	33	0.001	0.001	NUM
iajs-1814	41	34	24	24	NUM
iajs-1814	41	35	where	where	SCONJ
iajs-1814	41	36	𝛽	𝛽	NOUN
iajs-1814	41	37	°	°	PROPN
iajs-1814	41	38	,	,	PUNCT
iajs-1814	41	39	refer	refer	VERB
iajs-1814	41	40	to	to	ADP
iajs-1814	41	41	prior	prior	ADJ
iajs-1814	41	42	estimate	estimate	NOUN
iajs-1814	41	43	of	of	ADP
iajs-1814	41	44	β	β	PROPN
iajs-1814	41	45	.	.	PUNCT
iajs-1814	42	1	then	then	ADV
iajs-1814	42	2	the	the	DET
iajs-1814	42	3	approximate	approximate	ADJ
iajs-1814	42	4	estimation	estimation	NOUN
iajs-1814	42	5	of	of	ADP
iajs-1814	42	6	reliability	reliability	NOUN
iajs-1814	42	7	function	function	NOUN
iajs-1814	42	8	for	for	ADP
iajs-1814	42	9	the	the	DET
iajs-1814	42	10	two	two	NUM
iajs-1814	42	11	-	-	PUNCT
iajs-1814	42	12	parameter	parameter	NOUN
iajs-1814	42	13	exponential	exponential	ADJ
iajs-1814	42	14	distribution	distribution	NOUN
iajs-1814	42	15	using	use	VERB
iajs-1814	42	16	modified	modify	VERB
iajs-1814	42	17	thompson	thompson	NOUN
iajs-1814	42	18	-	-	PUNCT
iajs-1814	42	19	type	type	NOUN
iajs-1814	42	20	shrinkage	shrinkage	NOUN
iajs-1814	42	21	estimator	estimator	NOUN
iajs-1814	42	22	(	(	PUNCT
iajs-1814	42	23	mt	mt	PROPN
iajs-1814	42	24	)	)	PUNCT
iajs-1814	42	25	will	will	AUX
iajs-1814	42	26	be	be	AUX
iajs-1814	42	27	𝑅	𝑅	NOUN
iajs-1814	42	28	𝑒𝑥𝑝	𝑒𝑥𝑝	INTJ
iajs-1814	42	29	𝑡	𝑡	PROPN
iajs-1814	42	30	𝛼	𝛼	PROPN
iajs-1814	42	31	𝛽	𝛽	NOUN
iajs-1814	42	32	25	25	NUM
iajs-1814	42	33	single	single	ADJ
iajs-1814	42	34	stage	stage	NOUN
iajs-1814	42	35	shrinkage	shrinkage	NOUN
iajs-1814	42	36	estimator	estimator	NOUN
iajs-1814	42	37	"	"	PUNCT
iajs-1814	42	38	single	single	ADJ
iajs-1814	42	39	stage	stage	NOUN
iajs-1814	42	40	shrinkage	shrinkage	NOUN
iajs-1814	42	41	estimation	estimation	NOUN
iajs-1814	42	42	method	method	NOUN
iajs-1814	42	43	is	be	AUX
iajs-1814	42	44	the	the	DET
iajs-1814	42	45	same	same	ADJ
iajs-1814	42	46	as	as	ADP
iajs-1814	42	47	the	the	DET
iajs-1814	42	48	method	method	NOUN
iajs-1814	42	49	of	of	ADP
iajs-1814	42	50	thompson	thompson	NOUN
iajs-1814	42	51	-	-	PUNCT
iajs-1814	42	52	type	type	NOUN
iajs-1814	42	53	shrinkage	shrinkage	NOUN
iajs-1814	42	54	estimator	estimator	NOUN
iajs-1814	43	1	𝜓	𝜓	PROPN
iajs-1814	43	2	𝜃	𝜃	PROPN
iajs-1814	43	3	𝜃	𝜃	NUM
iajs-1814	43	4	1	1	NUM
iajs-1814	43	5	𝜓	𝜓	NOUN
iajs-1814	43	6	𝜃	𝜃	PROPN
iajs-1814	43	7	𝜃	𝜃	NOUN
iajs-1814	43	8	°	°	NUM
iajs-1814	43	9	,	,	PUNCT
iajs-1814	43	10	0	0	NUM
iajs-1814	43	11	𝜓	𝜓	NOUN
iajs-1814	43	12	𝜃	𝜃	NOUN
iajs-1814	43	13	1	1	NUM
iajs-1814	43	14	,	,	PUNCT
iajs-1814	43	15	which	which	PRON
iajs-1814	43	16	is	be	AUX
iajs-1814	43	17	define	define	NOUN
iajs-1814	43	18	in	in	ADP
iajs-1814	43	19	section	section	NOUN
iajs-1814	43	20	2.4	2.4	NUM
iajs-1814	43	21	above	above	ADV
iajs-1814	44	1	but	but	CCONJ
iajs-1814	44	2	we	we	PRON
iajs-1814	44	3	consider	consider	VERB
iajs-1814	44	4	the	the	DET
iajs-1814	44	5	shrinkage	shrinkage	NOUN
iajs-1814	44	6	weight	weight	NOUN
iajs-1814	44	7	factor	factor	NOUN
iajs-1814	44	8	𝜓	𝜓	PROPN
iajs-1814	44	9	𝜃	𝜃	PROPN
iajs-1814	44	10	as	as	ADP
iajs-1814	44	11	a	a	DET
iajs-1814	44	12	function	function	NOUN
iajs-1814	44	13	of	of	ADP
iajs-1814	44	14	𝑣𝑎𝑟	𝑣𝑎𝑟	NOUN
iajs-1814	44	15	𝜃	𝜃	NOUN
iajs-1814	44	16	;	;	PUNCT
iajs-1814	44	17	"	"	PUNCT
iajs-1814	44	18	[	[	X
iajs-1814	44	19	2	2	NUM
iajs-1814	44	20	]	]	PUNCT
iajs-1814	44	21	.	.	PUNCT
iajs-1814	45	1	in	in	ADP
iajs-1814	45	2	this	this	DET
iajs-1814	45	3	paper	paper	NOUN
iajs-1814	45	4	we	we	PRON
iajs-1814	45	5	consider	consider	VERB
iajs-1814	45	6	,	,	PUNCT
iajs-1814	45	7	𝜓	𝜓	PROPN
iajs-1814	45	8	𝛽	𝛽	NOUN
iajs-1814	45	9	𝑒	𝑒	ADP
iajs-1814	45	10	where	where	SCONJ
iajs-1814	45	11	the	the	DET
iajs-1814	45	12	𝑣𝑎𝑟	𝑣𝑎𝑟	NOUN
iajs-1814	45	13	𝛽	𝛽	PROPN
iajs-1814	45	14	𝛽	𝛽	PROPN
iajs-1814	45	15	𝑛	𝑛	PRON
iajs-1814	45	16	𝛽	𝛽	NOUN
iajs-1814	45	17	𝑒	𝑒	PROPN
iajs-1814	45	18	𝛽	𝛽	PROPN
iajs-1814	45	19	1	1	NUM
iajs-1814	45	20	𝑒	𝑒	PROPN
iajs-1814	45	21	𝛽	𝛽	NOUN
iajs-1814	45	22	°	°	NOUN
iajs-1814	45	23	26	26	NUM
iajs-1814	45	24	ihsciconf	ihsciconf	PROPN
iajs-1814	45	25	2017	2017	NUM
iajs-1814	45	26	special	special	ADJ
iajs-1814	45	27	issue	issue	NOUN
iajs-1814	45	28	ibn	ibn	PROPN
iajs-1814	45	29	al	al	PROPN
iajs-1814	45	30	-	-	PUNCT
iajs-1814	45	31	haitham	haitham	PROPN
iajs-1814	45	32	journal	journal	PROPN
iajs-1814	45	33	for	for	ADP
iajs-1814	45	34	pure	pure	ADJ
iajs-1814	45	35	and	and	CCONJ
iajs-1814	45	36	applied	apply	VERB
iajs-1814	45	37	science	science	NOUN
iajs-1814	45	38	https://doi.org/	https://doi.org/	NOUN
iajs-1814	45	39	10.30526/2017.ihsciconf.1814	10.30526/2017.ihsciconf.1814	NUM
iajs-1814	45	40	for	for	ADP
iajs-1814	45	41	more	more	ADJ
iajs-1814	45	42	information	information	NOUN
iajs-1814	45	43	about	about	ADP
iajs-1814	45	44	the	the	DET
iajs-1814	45	45	conference	conference	NOUN
iajs-1814	45	46	please	please	INTJ
iajs-1814	45	47	visit	visit	VERB
iajs-1814	45	48	the	the	DET
iajs-1814	45	49	websites	website	NOUN
iajs-1814	45	50	:	:	PUNCT
iajs-1814	45	51	http://www.ihsciconf.org/conf/	http://www.ihsciconf.org/conf/	VERB
iajs-1814	45	52	   	   	SPACE
iajs-1814	45	53	www.ihsciconf.org	www.ihsciconf.org	ADJ
iajs-1814	45	54	   	   	SPACE
iajs-1814	45	55	mathematics	mathematic	NOUN
iajs-1814	45	56	|	|	ADV
iajs-1814	45	57	416	416	NUM
iajs-1814	45	58	  	  	SPACE
iajs-1814	45	59	then	then	ADV
iajs-1814	45	60	the	the	DET
iajs-1814	45	61	approximate	approximate	ADJ
iajs-1814	45	62	estimation	estimation	NOUN
iajs-1814	45	63	of	of	ADP
iajs-1814	45	64	reliability	reliability	NOUN
iajs-1814	45	65	function	function	NOUN
iajs-1814	45	66	for	for	ADP
iajs-1814	45	67	the	the	DET
iajs-1814	45	68	two	two	NUM
iajs-1814	45	69	-	-	PUNCT
iajs-1814	45	70	parameters	parameter	NOUN
iajs-1814	45	71	exponential	exponential	ADJ
iajs-1814	45	72	distribution	distribution	NOUN
iajs-1814	45	73	using	use	VERB
iajs-1814	45	74	single	single	ADJ
iajs-1814	45	75	stage	stage	NOUN
iajs-1814	45	76	shrinkage	shrinkage	NOUN
iajs-1814	45	77	estimator	estimator	PROPN
iajs-1814	45	78	st	st	PROPN
iajs-1814	45	79	will	will	AUX
iajs-1814	45	80	be	be	AUX
iajs-1814	45	81	𝑅	𝑅	PROPN
iajs-1814	45	82	𝑒𝑥𝑝	𝑒𝑥𝑝	INTJ
iajs-1814	45	83	𝑡	𝑡	PROPN
iajs-1814	45	84	𝛼	𝛼	NOUN
iajs-1814	45	85	𝛽	𝛽	NOUN
iajs-1814	45	86	27	27	NUM
iajs-1814	45	87	3	3	NUM
iajs-1814	45	88	.	.	PUNCT
iajs-1814	46	1	results	result	NOUN
iajs-1814	46	2	&	&	CCONJ
iajs-1814	46	3	discussion	discussion	NOUN
iajs-1814	46	4	simulation	simulation	NOUN
iajs-1814	46	5	study	study	NOUN
iajs-1814	46	6	we	we	PRON
iajs-1814	46	7	carried	carry	VERB
iajs-1814	46	8	out	out	ADP
iajs-1814	46	9	monte	monte	PROPN
iajs-1814	46	10	carlo	carlo	PROPN
iajs-1814	46	11	simulation	simulation	NOUN
iajs-1814	46	12	in	in	ADP
iajs-1814	46	13	order	order	NOUN
iajs-1814	46	14	to	to	PART
iajs-1814	46	15	compare	compare	VERB
iajs-1814	46	16	the	the	DET
iajs-1814	46	17	performance	performance	NOUN
iajs-1814	46	18	of	of	ADP
iajs-1814	46	19	all	all	DET
iajs-1814	46	20	the	the	DET
iajs-1814	46	21	estimators	estimator	NOUN
iajs-1814	46	22	proposed	propose	VERB
iajs-1814	46	23	in	in	ADP
iajs-1814	46	24	the	the	DET
iajs-1814	46	25	preceding	precede	VERB
iajs-1814	46	26	section	section	NOUN
iajs-1814	46	27	.	.	PUNCT
iajs-1814	47	1	the	the	DET
iajs-1814	47	2	programs	program	NOUN
iajs-1814	47	3	were	be	AUX
iajs-1814	47	4	written	write	VERB
iajs-1814	47	5	in	in	ADP
iajs-1814	47	6	matlab	matlab	PROPN
iajs-1814	47	7	(	(	PUNCT
iajs-1814	47	8	2013b	2013b	NUM
iajs-1814	47	9	)	)	PUNCT
iajs-1814	47	10	.	.	PUNCT
iajs-1814	48	1	the	the	DET
iajs-1814	48	2	results	result	NOUN
iajs-1814	48	3	depend	depend	VERB
iajs-1814	48	4	on	on	ADP
iajs-1814	48	5	1000	1000	NUM
iajs-1814	48	6	simulation	simulation	NOUN
iajs-1814	48	7	iteration	iteration	NOUN
iajs-1814	48	8	.	.	PUNCT
iajs-1814	49	1	generated	generate	VERB
iajs-1814	49	2	random	random	ADJ
iajs-1814	49	3	samples	sample	NOUN
iajs-1814	49	4	of	of	ADP
iajs-1814	49	5	different	different	ADJ
iajs-1814	49	6	sizes	size	NOUN
iajs-1814	49	7	by	by	ADP
iajs-1814	49	8	observing	observe	VERB
iajs-1814	49	9	that	that	SCONJ
iajs-1814	49	10	if	if	SCONJ
iajs-1814	49	11	u	u	NOUN
iajs-1814	49	12	is	be	AUX
iajs-1814	49	13	uniform	uniform	ADJ
iajs-1814	49	14	(	(	PUNCT
iajs-1814	49	15	0	0	NUM
iajs-1814	49	16	,	,	PUNCT
iajs-1814	49	17	1	1	NUM
iajs-1814	49	18	)	)	PUNCT
iajs-1814	49	19	,	,	PUNCT
iajs-1814	49	20	then	then	ADV
iajs-1814	49	21	𝑡	𝑡	VERB
iajs-1814	49	22	α	α	PROPN
iajs-1814	49	23	β	β	NOUN
iajs-1814	49	24	log	log	NOUN
iajs-1814	49	25	1	1	NUM
iajs-1814	49	26	u	u	NOUN
iajs-1814	49	27	is	be	AUX
iajs-1814	49	28	exponential	exponential	ADJ
iajs-1814	49	29	of	of	ADP
iajs-1814	49	30	(	(	PUNCT
iajs-1814	49	31	α	α	PROPN
iajs-1814	49	32	,	,	PUNCT
iajs-1814	49	33	β	β	NOUN
iajs-1814	49	34	)	)	PUNCT
iajs-1814	49	35	.	.	PUNCT
iajs-1814	50	1	the	the	DET
iajs-1814	50	2	sample	sample	NOUN
iajs-1814	50	3	sizes	size	NOUN
iajs-1814	50	4	considered	consider	VERB
iajs-1814	50	5	were	be	AUX
iajs-1814	50	6	n=25	n=25	ADJ
iajs-1814	50	7	,	,	PUNCT
iajs-1814	50	8	50	50	NUM
iajs-1814	50	9	,	,	PUNCT
iajs-1814	50	10	75	75	NUM
iajs-1814	50	11	,	,	PUNCT
iajs-1814	50	12	100	100	NUM
iajs-1814	50	13	and	and	CCONJ
iajs-1814	50	14	the	the	DET
iajs-1814	50	15	shape	shape	NOUN
iajs-1814	50	16	parameter	parameter	NOUN
iajs-1814	50	17	was	be	AUX
iajs-1814	50	18	taken	take	VERB
iajs-1814	50	19	as	as	ADP
iajs-1814	50	20			NOUN
iajs-1814	50	21	=	=	SYM
iajs-1814	50	22	0.2	0.2	NUM
iajs-1814	50	23	,	,	PUNCT
iajs-1814	50	24	0.5	0.5	NUM
iajs-1814	50	25	.	.	PUNCT
iajs-1814	51	1	in	in	ADP
iajs-1814	51	2	all	all	DET
iajs-1814	51	3	cases	case	NOUN
iajs-1814	51	4	,	,	PUNCT
iajs-1814	51	5	we	we	PRON
iajs-1814	51	6	set	set	VERB
iajs-1814	51	7	the	the	DET
iajs-1814	51	8	scale	scale	NOUN
iajs-1814	51	9	parameter	parameter	PROPN
iajs-1814	51	10			PROPN
iajs-1814	51	11	=3	=3	PROPN
iajs-1814	51	12	,	,	PUNCT
iajs-1814	51	13	3.5	3.5	NUM
iajs-1814	51	14	,	,	PUNCT
iajs-1814	51	15	4	4	NUM
iajs-1814	51	16	.	.	PUNCT
iajs-1814	52	1	we	we	PRON
iajs-1814	52	2	used	use	VERB
iajs-1814	52	3	1000	1000	NUM
iajs-1814	52	4	replications	replication	NOUN
iajs-1814	52	5	to	to	PART
iajs-1814	52	6	estimate	estimate	VERB
iajs-1814	52	7	by	by	ADP
iajs-1814	52	8	using	use	VERB
iajs-1814	52	9	the	the	DET
iajs-1814	52	10	ml	ml	PROPN
iajs-1814	52	11	,	,	PUNCT
iajs-1814	52	12	md	md	PROPN
iajs-1814	52	13	,	,	PUNCT
iajs-1814	52	14	rr	rr	PROPN
iajs-1814	52	15	,	,	PUNCT
iajs-1814	52	16	mt	mt	PROPN
iajs-1814	52	17	and	and	CCONJ
iajs-1814	52	18	st	st	PROPN
iajs-1814	52	19	methods	method	NOUN
iajs-1814	52	20	.	.	PUNCT
iajs-1814	53	1	the	the	DET
iajs-1814	53	2	process	process	NOUN
iajs-1814	53	3	of	of	ADP
iajs-1814	53	4	simulation	simulation	NOUN
iajs-1814	53	5	strategy	strategy	NOUN
iajs-1814	53	6	is	be	AUX
iajs-1814	53	7	explained	explain	VERB
iajs-1814	53	8	the	the	DET
iajs-1814	53	9	numerical	numerical	ADJ
iajs-1814	53	10	results	result	NOUN
iajs-1814	53	11	in	in	ADP
iajs-1814	53	12	the	the	DET
iajs-1814	53	13	table	table	NOUN
iajs-1814	53	14	(	(	PUNCT
iajs-1814	53	15	1	1	NUM
iajs-1814	53	16	)	)	PUNCT
iajs-1814	53	17	and	and	CCONJ
iajs-1814	53	18	table	table	NOUN
iajs-1814	53	19	(	(	PUNCT
iajs-1814	53	20	2	2	NUM
iajs-1814	53	21	)	)	PUNCT
iajs-1814	53	22	.	.	PUNCT
iajs-1814	54	1	and	and	CCONJ
iajs-1814	54	2	comparison	comparison	NOUN
iajs-1814	54	3	among	among	ADP
iajs-1814	54	4	all	all	DET
iajs-1814	54	5	propose	propose	ADJ
iajs-1814	54	6	estimators	estimator	NOUN
iajs-1814	54	7	where	where	SCONJ
iajs-1814	54	8	made	make	VERB
iajs-1814	54	9	on	on	ADP
iajs-1814	54	10	mse	mse	NOUN
iajs-1814	54	11	which	which	PRON
iajs-1814	54	12	is	be	AUX
iajs-1814	54	13	defined	define	VERB
iajs-1814	54	14	as	as	ADP
iajs-1814	54	15	follow	follow	NOUN
iajs-1814	54	16	𝑀𝑆𝐸	𝑀𝑆𝐸	PROPN
iajs-1814	54	17	𝑅	𝑅	PROPN
iajs-1814	54	18	𝑡	𝑡	PROPN
iajs-1814	54	19	∑	∑	PROPN
iajs-1814	54	20	𝑅	𝑅	PROPN
iajs-1814	54	21	𝑡	𝑡	PROPN
iajs-1814	54	22	𝑅	𝑅	PROPN
iajs-1814	54	23	𝑡	𝑡	PROPN
iajs-1814	54	24	𝐿	𝐿	PROPN
iajs-1814	54	25	where	where	SCONJ
iajs-1814	54	26	𝑅	𝑅	PROPN
iajs-1814	54	27	𝑡	𝑡	PROPN
iajs-1814	54	28	is	be	AUX
iajs-1814	54	29	the	the	DET
iajs-1814	54	30	specific	specific	ADJ
iajs-1814	54	31	estimated	estimate	VERB
iajs-1814	54	32	reliability	reliability	NOUN
iajs-1814	54	33	,	,	PUNCT
iajs-1814	54	34	ri(t	ri(t	NOUN
iajs-1814	54	35	)	)	PUNCT
iajs-1814	54	36	refer	refer	VERB
iajs-1814	54	37	to	to	ADP
iajs-1814	54	38	specific	specific	ADJ
iajs-1814	54	39	real	real	ADJ
iajs-1814	54	40	reliability	reliability	NOUN
iajs-1814	54	41	and	and	CCONJ
iajs-1814	54	42	l=1000	l=1000	PROPN
iajs-1814	54	43	refer	refer	NOUN
iajs-1814	54	44	to	to	ADP
iajs-1814	54	45	the	the	DET
iajs-1814	54	46	number	number	NOUN
iajs-1814	54	47	of	of	ADP
iajs-1814	54	48	replications	replication	NOUN
iajs-1814	54	49	.	.	PUNCT
iajs-1814	55	1	3.2	3.2	NUM
iajs-1814	55	2	discussion	discussion	NOUN
iajs-1814	55	3	and	and	CCONJ
iajs-1814	55	4	numerical	numerical	ADJ
iajs-1814	55	5	analysis	analysis	NOUN
iajs-1814	55	6	1	1	NUM
iajs-1814	55	7	.	.	PUNCT
iajs-1814	56	1	when	when	SCONJ
iajs-1814	56	2	n=25	n=25	ADV
iajs-1814	56	3	,	,	PUNCT
iajs-1814	56	4	the	the	DET
iajs-1814	56	5	estimator	estimator	NOUN
iajs-1814	56	6	minimum	minimum	NOUN
iajs-1814	56	7	mse	mse	PROPN
iajs-1814	56	8	vibration	vibration	NOUN
iajs-1814	56	9	between	between	ADP
iajs-1814	56	10	𝑅	𝑅	PROPN
iajs-1814	56	11	and	and	CCONJ
iajs-1814	56	12	𝑅	𝑅	PROPN
iajs-1814	56	13	and	and	CCONJ
iajs-1814	56	14	they	they	PRON
iajs-1814	56	15	performed	perform	VERB
iajs-1814	56	16	good	good	ADJ
iajs-1814	56	17	than	than	ADP
iajs-1814	56	18	the	the	DET
iajs-1814	56	19	others	other	NOUN
iajs-1814	56	20	estimators	estimator	NOUN
iajs-1814	56	21	in	in	ADP
iajs-1814	56	22	the	the	DET
iajs-1814	56	23	sense	sense	NOUN
iajs-1814	56	24	of	of	ADP
iajs-1814	56	25	mse	mse	NOUN
iajs-1814	56	26	,	,	PUNCT
iajs-1814	56	27	then	then	ADV
iajs-1814	56	28	follow	follow	VERB
iajs-1814	56	29	by	by	ADP
iajs-1814	56	30	𝑅	𝑅	PROPN
iajs-1814	56	31	,	,	PUNCT
iajs-1814	56	32	𝑅	𝑅	PROPN
iajs-1814	56	33	,	,	PUNCT
iajs-1814	56	34	𝑅	𝑅	PROPN
iajs-1814	56	35	and	and	CCONJ
iajs-1814	56	36	𝑅	𝑅	PROPN
iajs-1814	56	37	respectively	respectively	ADV
iajs-1814	56	38	for	for	ADP
iajs-1814	56	39	all	all	DET
iajs-1814	56	40	α	α	NOUN
iajs-1814	56	41	and	and	CCONJ
iajs-1814	56	42	β	β	NOUN
iajs-1814	56	43	.	.	NOUN
iajs-1814	57	1	2	2	NUM
iajs-1814	57	2	.	.	X
iajs-1814	57	3	when	when	SCONJ
iajs-1814	57	4	n=50,75	n=50,75	PROPN
iajs-1814	57	5	and	and	CCONJ
iajs-1814	57	6	100	100	NUM
iajs-1814	57	7	,	,	PUNCT
iajs-1814	57	8	we	we	PRON
iajs-1814	57	9	can	can	AUX
iajs-1814	57	10	see	see	VERB
iajs-1814	57	11	from	from	ADP
iajs-1814	57	12	the	the	DET
iajs-1814	57	13	table	table	NOUN
iajs-1814	57	14	(	(	PUNCT
iajs-1814	57	15	2	2	NUM
iajs-1814	57	16	)	)	PUNCT
iajs-1814	57	17	,	,	PUNCT
iajs-1814	57	18	the	the	DET
iajs-1814	57	19	mse	mse	NOUN
iajs-1814	57	20	of	of	ADP
iajs-1814	57	21	estimator	estimator	NOUN
iajs-1814	57	22	𝑅	𝑅	PROPN
iajs-1814	57	23	less	less	ADJ
iajs-1814	57	24	than	than	ADP
iajs-1814	57	25	of	of	ADP
iajs-1814	57	26	the	the	DET
iajs-1814	57	27	mse	mse	NOUN
iajs-1814	57	28	of	of	ADP
iajs-1814	57	29	the	the	DET
iajs-1814	57	30	other	other	ADJ
iajs-1814	57	31	estimators	estimator	NOUN
iajs-1814	57	32	,	,	PUNCT
iajs-1814	57	33	thus	thus	ADV
iajs-1814	57	34	it	it	PRON
iajs-1814	57	35	will	will	AUX
iajs-1814	57	36	be	be	AUX
iajs-1814	57	37	the	the	DET
iajs-1814	57	38	best	good	ADJ
iajs-1814	57	39	in	in	ADP
iajs-1814	57	40	the	the	DET
iajs-1814	57	41	sense	sense	NOUN
iajs-1814	57	42	of	of	ADP
iajs-1814	57	43	mse	mse	NOUN
iajs-1814	57	44	and	and	CCONJ
iajs-1814	57	45	follow	follow	VERB
iajs-1814	57	46	by	by	ADP
iajs-1814	57	47	the	the	DET
iajs-1814	57	48	estimators	estimator	NOUN
iajs-1814	57	49	by	by	ADP
iajs-1814	57	50	𝑅	𝑅	PROPN
iajs-1814	57	51	,	,	PUNCT
iajs-1814	57	52	𝑅	𝑅	PROPN
iajs-1814	57	53	,	,	PUNCT
iajs-1814	57	54	𝑅	𝑅	PROPN
iajs-1814	57	55	and	and	CCONJ
iajs-1814	57	56	𝑅	𝑅	PROPN
iajs-1814	57	57	respectively	respectively	ADV
iajs-1814	57	58	.	.	PUNCT
iajs-1814	58	1	3	3	X
iajs-1814	58	2	.	.	X
iajs-1814	58	3	for	for	ADP
iajs-1814	58	4	all	all	DET
iajs-1814	58	5	n	n	NOUN
iajs-1814	58	6	and	and	CCONJ
iajs-1814	58	7	for	for	ADP
iajs-1814	58	8	all	all	DET
iajs-1814	58	9	β	β	NOUN
iajs-1814	58	10	,	,	PUNCT
iajs-1814	58	11	the	the	DET
iajs-1814	58	12	mse	mse	NOUN
iajs-1814	58	13	of	of	ADP
iajs-1814	58	14	the	the	DET
iajs-1814	58	15	proposed	propose	VERB
iajs-1814	58	16	estimators	estimator	NOUN
iajs-1814	58	17	are	be	AUX
iajs-1814	58	18	vibrate	vibrate	NOUN
iajs-1814	58	19	with	with	ADP
iajs-1814	58	20	respect	respect	NOUN
iajs-1814	58	21	to	to	ADP
iajs-1814	58	22	α	α	NOUN
iajs-1814	58	23	.	.	PUNCT
iajs-1814	59	1	the	the	DET
iajs-1814	59	2	results	result	NOUN
iajs-1814	59	3	of	of	ADP
iajs-1814	59	4	the	the	DET
iajs-1814	59	5	simulation	simulation	NOUN
iajs-1814	59	6	study	study	NOUN
iajs-1814	59	7	are	be	AUX
iajs-1814	59	8	reported	report	VERB
iajs-1814	59	9	in	in	ADP
iajs-1814	59	10	the	the	DET
iajs-1814	59	11	tables	table	NOUN
iajs-1814	59	12	(	(	PUNCT
iajs-1814	59	13	1	1	NUM
iajs-1814	59	14	)	)	PUNCT
iajs-1814	59	15	and	and	CCONJ
iajs-1814	59	16	(	(	PUNCT
iajs-1814	59	17	2	2	NUM
iajs-1814	59	18	):	):	PUNCT
iajs-1814	59	19	      	      	SPACE
iajs-1814	59	20	ihsciconf	ihsciconf	PROPN
iajs-1814	59	21	2017	2017	NUM
iajs-1814	59	22	special	special	ADJ
iajs-1814	59	23	issue	issue	NOUN
iajs-1814	59	24	ibn	ibn	PROPN
iajs-1814	59	25	al	al	PROPN
iajs-1814	59	26	-	-	PUNCT
iajs-1814	59	27	haitham	haitham	PROPN
iajs-1814	59	28	journal	journal	PROPN
iajs-1814	59	29	for	for	ADP
iajs-1814	59	30	pure	pure	ADJ
iajs-1814	59	31	and	and	CCONJ
iajs-1814	59	32	applied	apply	VERB
iajs-1814	59	33	science	science	NOUN
iajs-1814	59	34	https://doi.org/	https://doi.org/	NOUN
iajs-1814	59	35	10.30526/2017.ihsciconf.1814	10.30526/2017.ihsciconf.1814	NUM
iajs-1814	59	36	for	for	ADP
iajs-1814	59	37	more	more	ADJ
iajs-1814	59	38	information	information	NOUN
iajs-1814	59	39	about	about	ADP
iajs-1814	59	40	the	the	DET
iajs-1814	59	41	conference	conference	NOUN
iajs-1814	59	42	please	please	INTJ
iajs-1814	59	43	visit	visit	VERB
iajs-1814	59	44	the	the	DET
iajs-1814	59	45	websites	website	NOUN
iajs-1814	59	46	:	:	PUNCT
iajs-1814	59	47	http://www.ihsciconf.org/conf/	http://www.ihsciconf.org/conf/	VERB
iajs-1814	59	48	   	   	SPACE
iajs-1814	59	49	www.ihsciconf.org	www.ihsciconf.org	ADJ
iajs-1814	59	50	   	   	SPACE
iajs-1814	59	51	mathematics	mathematic	NOUN
iajs-1814	59	52	|	|	ADV
iajs-1814	59	53	417	417	NUM
iajs-1814	59	54	  	  	SPACE
iajs-1814	59	55	table	table	NOUN
iajs-1814	59	56	(	(	PUNCT
iajs-1814	59	57	1	1	NUM
iajs-1814	59	58	):	):	PUNCT
iajs-1814	59	59	estimate	estimate	NOUN
iajs-1814	59	60	reliability	reliability	NOUN
iajs-1814	59	61	of	of	ADP
iajs-1814	59	62	exponential	exponential	ADJ
iajs-1814	59	63	distribution	distribution	NOUN
iajs-1814	59	64	based	base	VERB
iajs-1814	59	65	on	on	ADP
iajs-1814	59	66	simulations	simulation	NOUN
iajs-1814	59	67	n	n	X
iajs-1814	59	68	β	β	X
iajs-1814	59	69	α	α	X
iajs-1814	59	70	𝑅	𝑅	PROPN
iajs-1814	59	71	𝑅	𝑅	PROPN
iajs-1814	59	72	l	l	PROPN
iajs-1814	59	73	𝑅	𝑅	PROPN
iajs-1814	59	74	𝑅	𝑅	PROPN
iajs-1814	59	75	𝑅	𝑅	PROPN
iajs-1814	59	76	𝑅	𝑅	PROPN
iajs-1814	59	77	25	25	NUM
iajs-1814	59	78	2	2	NUM
iajs-1814	59	79	0.2	0.2	NUM
iajs-1814	59	80	0.0341	0.0341	NUM
iajs-1814	59	81	0.0311	0.0311	NUM
iajs-1814	59	82	0.0354	0.0354	NUM
iajs-1814	59	83	0.7692	0.7692	NUM
iajs-1814	59	84	0.0341	0.0341	NUM
iajs-1814	59	85	0.0341	0.0341	NUM
iajs-1814	59	86	0.5	0.5	NUM
iajs-1814	59	87	0.0140	0.0140	NUM
iajs-1814	59	88	0.0245	0.0245	NUM
iajs-1814	59	89	0.0171	0.0171	NUM
iajs-1814	59	90	0.7171	0.7171	NUM
iajs-1814	59	91	0.0140	0.0140	NUM
iajs-1814	59	92	0.0140	0.0140	NUM
iajs-1814	59	93	2.5	2.5	NUM
iajs-1814	59	94	0.2	0.2	NUM
iajs-1814	59	95	0.0626	0.0626	NUM
iajs-1814	60	1	0.0530	0.0530	NUM
iajs-1814	60	2	0.0820	0.0820	NUM
iajs-1814	60	3	0.7641	0.7641	NUM
iajs-1814	60	4	0.0626	0.0626	NUM
iajs-1814	60	5	0.0626	0.0626	NUM
iajs-1814	60	6	0.5	0.5	NUM
iajs-1814	60	7	0.1110	0.1110	NUM
iajs-1814	60	8	0.0386	0.0386	NUM
iajs-1814	60	9	0.1279	0.1279	NUM
iajs-1814	60	10	0.8081	0.8081	NUM
iajs-1814	60	11	0.1109	0.1109	NUM
iajs-1814	60	12	0.1110	0.1110	NUM
iajs-1814	60	13	3	3	NUM
iajs-1814	60	14	0.2	0.2	NUM
iajs-1814	60	15	0.0991	0.0991	NUM
iajs-1814	60	16	0.0395	0.0395	NUM
iajs-1814	60	17	0.0635	0.0635	NUM
iajs-1814	60	18	0.7639	0.7639	NUM
iajs-1814	60	19	0.0991	0.0991	NUM
iajs-1814	60	20	0.0991	0.0991	NUM
iajs-1814	60	21	0.5	0.5	NUM
iajs-1814	60	22	0.0893	0.0893	NUM
iajs-1814	60	23	0.0624	0.0624	NUM
iajs-1814	61	1	0.0502	0.0502	NUM
iajs-1814	61	2	0.7544	0.7544	NUM
iajs-1814	61	3	0.0892	0.0892	NUM
iajs-1814	61	4	0.0893	0.0893	NUM
iajs-1814	61	5	50	50	NUM
iajs-1814	61	6	2	2	NUM
iajs-1814	61	7	0.2	0.2	NUM
iajs-1814	61	8	0.0236	0.0236	NUM
iajs-1814	61	9	0.0142	0.0142	NUM
iajs-1814	61	10	0.0138	0.0138	NUM
iajs-1814	61	11	0.8631	0.8631	NUM
iajs-1814	62	1	0.0236	0.0236	NUM
iajs-1814	62	2	0.0236	0.0236	NUM
iajs-1814	62	3	0.5	0.5	NUM
iajs-1814	62	4	0.0237	0.0237	NUM
iajs-1814	62	5	0.0186	0.0186	NUM
iajs-1814	63	1	0.0202	0.0202	NUM
iajs-1814	63	2	0.8632	0.8632	NUM
iajs-1814	63	3	0.0237	0.0237	NUM
iajs-1814	63	4	0.0237	0.0237	NUM
iajs-1814	63	5	2.5	2.5	NUM
iajs-1814	63	6	0.2	0.2	NUM
iajs-1814	63	7	0.0026	0.0026	NUM
iajs-1814	63	8	0.0055	0.0055	NUM
iajs-1814	63	9	0.0070	0.0070	NUM
iajs-1814	63	10	0.7459	0.7459	NUM
iajs-1814	63	11	0.0026	0.0026	NUM
iajs-1814	63	12	0.0026	0.0026	NUM
iajs-1814	63	13	0.5	0.5	NUM
iajs-1814	63	14	0.0086	0.0086	NUM
iajs-1814	63	15	0.0163	0.0163	NUM
iajs-1814	63	16	0.0160	0.0160	NUM
iajs-1814	63	17	0.7912	0.7912	NUM
iajs-1814	63	18	0.0086	0.0086	NUM
iajs-1814	63	19	0.0086	0.0086	NUM
iajs-1814	63	20	3	3	NUM
iajs-1814	63	21	0.2	0.2	NUM
iajs-1814	63	22	0.0088	0.0088	NUM
iajs-1814	63	23	0.0106	0.0106	NUM
iajs-1814	63	24	0.0201	0.0201	NUM
iajs-1814	63	25	0.7557	0.7557	NUM
iajs-1814	63	26	0.0088	0.0088	NUM
iajs-1814	63	27	0.0088	0.0088	NUM
iajs-1814	63	28	0.5	0.5	NUM
iajs-1814	63	29	0.0238	0.0238	NUM
iajs-1814	63	30	0.0244	0.0244	NUM
iajs-1814	63	31	0.0259	0.0259	NUM
iajs-1814	63	32	0.8019	0.8019	NUM
iajs-1814	63	33	0.0238	0.0238	NUM
iajs-1814	63	34	0.0238	0.0238	NUM
iajs-1814	63	35	75	75	NUM
iajs-1814	63	36	2	2	NUM
iajs-1814	63	37	0.2	0.2	NUM
iajs-1814	63	38	0.0017	0.0017	NUM
iajs-1814	63	39	0.0049	0.0049	NUM
iajs-1814	63	40	0.0078	0.0078	NUM
iajs-1814	63	41	0.8450	0.8450	NUM
iajs-1814	63	42	0.0017	0.0017	NUM
iajs-1814	63	43	0.0017	0.0017	NUM
iajs-1814	63	44	0.5	0.5	NUM
iajs-1814	63	45	0.0073	0.0073	NUM
iajs-1814	63	46	0.0114	0.0114	NUM
iajs-1814	63	47	0.0154	0.0154	NUM
iajs-1814	63	48	0.8784	0.8784	NUM
iajs-1814	63	49	0.0073	0.0073	NUM
iajs-1814	63	50	0.0073	0.0073	NUM
iajs-1814	63	51	2.5	2.5	NUM
iajs-1814	63	52	0.2	0.2	NUM
iajs-1814	63	53	0.0139	0.0139	NUM
iajs-1814	63	54	0.0167	0.0167	NUM
iajs-1814	63	55	0.0092	0.0092	NUM
iajs-1814	63	56	0.8686	0.8686	NUM
iajs-1814	63	57	0.0139	0.0139	NUM
iajs-1814	63	58	0.0139	0.0139	NUM
iajs-1814	63	59	0.5	0.5	NUM
iajs-1814	63	60	0.0097	0.0097	NUM
iajs-1814	63	61	0.0129	0.0129	NUM
iajs-1814	63	62	0.0268	0.0268	NUM
iajs-1814	63	63	0.8582	0.8582	NUM
iajs-1814	63	64	0.0097	0.0097	NUM
iajs-1814	63	65	0.0097	0.0097	NUM
iajs-1814	63	66	3	3	NUM
iajs-1814	63	67	0.2	0.2	NUM
iajs-1814	63	68	0.0117	0.0117	NUM
iajs-1814	63	69	0.0206	0.0206	NUM
iajs-1814	63	70	0.0290	0.0290	NUM
iajs-1814	63	71	0.8388	0.8388	NUM
iajs-1814	63	72	0.0118	0.0118	NUM
iajs-1814	63	73	0.0118	0.0118	NUM
iajs-1814	63	74	0.5	0.5	NUM
iajs-1814	63	75	0.0092	0.0092	NUM
iajs-1814	63	76	0.0179	0.0179	NUM
iajs-1814	64	1	0.0189	0.0189	NUM
iajs-1814	64	2	0.8308	0.8308	NUM
iajs-1814	64	3	0.0092	0.0092	NUM
iajs-1814	64	4	0.0092	0.0092	NUM
iajs-1814	64	5	100	100	NUM
iajs-1814	64	6	2	2	NUM
iajs-1814	64	7	0.2	0.2	NUM
iajs-1814	64	8	0.0094	0.0094	NUM
iajs-1814	64	9	0.0066	0.0066	NUM
iajs-1814	64	10	0.0027	0.0027	NUM
iajs-1814	64	11	0.9116	0.9116	NUM
iajs-1814	64	12	0.0094	0.0094	NUM
iajs-1814	64	13	0.0094	0.0094	NUM
iajs-1814	64	14	0.5	0.5	NUM
iajs-1814	64	15	0.0020	0.0020	NUM
iajs-1814	64	16	0.0020	0.0020	NUM
iajs-1814	64	17	0.0025	0.0025	NUM
iajs-1814	64	18	0.8841	0.8841	NUM
iajs-1814	64	19	0.0020	0.0020	NUM
iajs-1814	64	20	0.0020	0.0020	NUM
iajs-1814	64	21	2.5	2.5	NUM
iajs-1814	64	22	0.2	0.2	NUM
iajs-1814	64	23	0.0075	0.0075	NUM
iajs-1814	64	24	0.0058	0.0058	NUM
iajs-1814	64	25	0.0078	0.0078	NUM
iajs-1814	64	26	0.8857	0.8857	NUM
iajs-1814	64	27	0.0075	0.0075	NUM
iajs-1814	64	28	0.0075	0.0075	NUM
iajs-1814	64	29	0.5	0.5	NUM
iajs-1814	64	30	0.0011	0.0011	NUM
iajs-1814	64	31	0.0011	0.0011	NUM
iajs-1814	64	32	0.0015	0.0015	NUM
iajs-1814	64	33	0.8452	0.8452	NUM
iajs-1814	64	34	0.0011	0.0011	NUM
iajs-1814	64	35	0.0011	0.0011	NUM
iajs-1814	64	36	3	3	NUM
iajs-1814	64	37	0.2	0.2	NUM
iajs-1814	64	38	0.0228	0.0228	NUM
iajs-1814	64	39	0.0118	0.0118	NUM
iajs-1814	64	40	0.0106	0.0106	NUM
iajs-1814	64	41	0.8937	0.8937	NUM
iajs-1814	64	42	0.0228	0.0228	NUM
iajs-1814	64	43	0.0228	0.0228	NUM
iajs-1814	64	44	0.5	0.5	NUM
iajs-1814	64	45	0.0043	0.0043	NUM
iajs-1814	64	46	0.0044	0.0044	NUM
iajs-1814	64	47	0.0082	0.0082	NUM
iajs-1814	64	48	0.8503	0.8503	NUM
iajs-1814	64	49	0.0043	0.0043	NUM
iajs-1814	64	50	0.0043	0.0043	NUM
iajs-1814	64	51	ihsciconf	ihsciconf	PROPN
iajs-1814	64	52	2017	2017	NUM
iajs-1814	64	53	special	special	ADJ
iajs-1814	64	54	issue	issue	NOUN
iajs-1814	64	55	ibn	ibn	PROPN
iajs-1814	64	56	al	al	PROPN
iajs-1814	64	57	-	-	PUNCT
iajs-1814	64	58	haitham	haitham	PROPN
iajs-1814	64	59	journal	journal	PROPN
iajs-1814	64	60	for	for	ADP
iajs-1814	64	61	pure	pure	ADJ
iajs-1814	64	62	and	and	CCONJ
iajs-1814	64	63	applied	apply	VERB
iajs-1814	64	64	science	science	NOUN
iajs-1814	64	65	https://doi.org/	https://doi.org/	NOUN
iajs-1814	64	66	10.30526/2017.ihsciconf.1814	10.30526/2017.ihsciconf.1814	NUM
iajs-1814	64	67	for	for	ADP
iajs-1814	64	68	more	more	ADJ
iajs-1814	64	69	information	information	NOUN
iajs-1814	64	70	about	about	ADP
iajs-1814	64	71	the	the	DET
iajs-1814	64	72	conference	conference	NOUN
iajs-1814	64	73	please	please	INTJ
iajs-1814	64	74	visit	visit	VERB
iajs-1814	64	75	the	the	DET
iajs-1814	64	76	websites	website	NOUN
iajs-1814	64	77	:	:	PUNCT
iajs-1814	64	78	http://www.ihsciconf.org/conf/	http://www.ihsciconf.org/conf/	VERB
iajs-1814	64	79	   	   	SPACE
iajs-1814	64	80	www.ihsciconf.org	www.ihsciconf.org	ADJ
iajs-1814	64	81	   	   	SPACE
iajs-1814	64	82	mathematics	mathematic	NOUN
iajs-1814	64	83	|	|	ADV
iajs-1814	64	84	418	418	NUM
iajs-1814	64	85	  	  	SPACE
iajs-1814	64	86	table	table	NOUN
iajs-1814	64	87	(	(	PUNCT
iajs-1814	64	88	2	2	NUM
iajs-1814	64	89	):	):	PUNCT
iajs-1814	64	90	mean	mean	NOUN
iajs-1814	64	91	squared	square	VERB
iajs-1814	64	92	error	error	NOUN
iajs-1814	64	93	(	(	PUNCT
iajs-1814	64	94	mse	mse	NOUN
iajs-1814	64	95	)	)	PUNCT
iajs-1814	64	96	of	of	ADP
iajs-1814	64	97	reliability	reliability	NOUN
iajs-1814	64	98	estimates	estimate	NOUN
iajs-1814	64	99	based	base	VERB
iajs-1814	64	100	on	on	ADP
iajs-1814	64	101	simulations	simulation	NOUN
iajs-1814	64	102	n	n	X
iajs-1814	64	103	β	β	X
iajs-1814	64	104	α	α	X
iajs-1814	64	105	𝑅	𝑅	PROPN
iajs-1814	64	106	𝑅	𝑅	PROPN
iajs-1814	64	107	𝑅	𝑅	PROPN
iajs-1814	64	108	𝑅	𝑅	PROPN
iajs-1814	64	109	𝑅	𝑅	PROPN
iajs-1814	64	110	25	25	NUM
iajs-1814	64	111	2	2	NUM
iajs-1814	64	112	0.2	0.2	NUM
iajs-1814	64	113	8.8661e-09	8.8661e-09	NUM
iajs-1814	64	114	1.6801e-09	1.6801e-09	NUM
iajs-1814	64	115	5.4040e-04	5.4040e-04	NUM
iajs-1814	64	116	4.2742e-17	4.2742e-17	NUM
iajs-1814	64	117	1.1463e-31	1.1463e-31	NUM
iajs-1814	64	118	0.5	0.5	NUM
iajs-1814	64	119	1.0933e-07	1.0933e-07	NUM
iajs-1814	64	120	9.5551e-09	9.5551e-09	NUM
iajs-1814	64	121	4.9431e-04	4.9431e-04	NUM
iajs-1814	64	122	3.2088e-14	3.2088e-14	NUM
iajs-1814	64	123	3.1178e-24	3.1178e-24	NUM
iajs-1814	64	124	2.5	2.5	NUM
iajs-1814	64	125	0.2	0.2	NUM
iajs-1814	64	126	9.1547e-08	9.1547e-08	NUM
iajs-1814	64	127	3.7569e-07	3.7569e-07	NUM
iajs-1814	64	128	4.9207e-04	4.9207e-04	NUM
iajs-1814	64	129	6.6791e-15	6.6791e-15	NUM
iajs-1814	64	130	2.3506e-23	2.3506e-23	NUM
iajs-1814	64	131	0.5	0.5	NUM
iajs-1814	64	132	5.2429e-06	5.2429e-06	NUM
iajs-1814	64	133	2.8634e-07	2.8634e-07	NUM
iajs-1814	64	134	4.8594e-04	4.8594e-04	NUM
iajs-1814	64	135	5.7627e-12	5.7627e-12	NUM
iajs-1814	64	136	1.7333e-36	1.7333e-36	NUM
iajs-1814	64	137	3	3	NUM
iajs-1814	64	138	0.2	0.2	NUM
iajs-1814	64	139	3.5488e-06	3.5488e-06	NUM
iajs-1814	64	140	1.2662e-06	1.2662e-06	NUM
iajs-1814	64	141	4.4190e-04	4.4190e-04	NUM
iajs-1814	64	142	3.7563e-12	3.7563e-12	NUM
iajs-1814	64	143	6.0057e-25	6.0057e-25	NUM
iajs-1814	64	144	0.5	0.5	NUM
iajs-1814	64	145	7.1999e-07	7.1999e-07	NUM
iajs-1814	64	146	1.5285e-06	1.5285e-06	NUM
iajs-1814	64	147	4.4240e-04	4.4240e-04	NUM
iajs-1814	64	148	3.6421e-13	3.6421e-13	NUM
iajs-1814	64	149	1.4778e-19	1.4778e-19	NUM
iajs-1814	64	150	50	50	NUM
iajs-1814	64	151	2	2	NUM
iajs-1814	64	152	0.2	0.2	NUM
iajs-1814	64	153	8.8349e-08	8.8349e-08	NUM
iajs-1814	64	154	9.7428e-08	9.7428e-08	NUM
iajs-1814	64	155	7.0465e-04	7.0465e-04	NUM
iajs-1814	64	156	6.8744e-14	6.8744e-14	NUM
iajs-1814	64	157	0	0	NUM
iajs-1814	64	158	0.5	0.5	NUM
iajs-1814	64	159	2.6716e-08	2.6716e-08	NUM
iajs-1814	64	160	1.2540e-08	1.2540e-08	NUM
iajs-1814	64	161	7.0470e-04	7.0470e-04	NUM
iajs-1814	64	162	6.4173e-15	6.4173e-15	NUM
iajs-1814	64	163	0	0	NUM
iajs-1814	64	164	2.5	2.5	NUM
iajs-1814	64	165	0.2	0.2	NUM
iajs-1814	64	166	4.8101e-10	4.8101e-10	NUM
iajs-1814	64	167	9.3650e-09	9.3650e-09	NUM
iajs-1814	64	168	5.8745e-04	5.8745e-04	NUM
iajs-1814	64	169	6.7782e-19	6.7782e-19	NUM
iajs-1814	64	170	2.4385e-17	2.4385e-17	NUM
iajs-1814	64	171	0.5	0.5	NUM
iajs-1814	64	172	6.0132e-08	6.0132e-08	NUM
iajs-1814	64	173	5.4459e-08	5.4459e-08	NUM
iajs-1814	64	174	6.1243e-04	6.1243e-04	NUM
iajs-1814	64	175	9.3136e-15	9.3136e-15	NUM
iajs-1814	64	176	2.5984e-13	2.5984e-13	NUM
iajs-1814	64	177	3	3	NUM
iajs-1814	64	178	0.2	0.2	NUM
iajs-1814	64	179	3.3587e-09	3.3587e-09	NUM
iajs-1814	64	180	1.2837e-07	1.2837e-07	NUM
iajs-1814	64	181	5.5796e-04	5.5796e-04	NUM
iajs-1814	64	182	1.6550e-17	1.6550e-17	NUM
iajs-1814	64	183	1.0752e-13	1.0752e-13	NUM
iajs-1814	64	184	0.5	0.5	NUM
iajs-1814	64	185	3.0973e-10	3.0973e-10	NUM
iajs-1814	64	186	4.2670e-09	4.2670e-09	NUM
iajs-1814	64	187	6.0538e-04	6.0538e-04	NUM
iajs-1814	64	188	1.1146e-21	1.1146e-21	NUM
iajs-1814	64	189	5.2519e-15	5.2519e-15	NUM
iajs-1814	64	190	75	75	NUM
iajs-1814	64	191	2	2	NUM
iajs-1814	64	192	0.2	0.2	NUM
iajs-1814	64	193	1.0020e-08	1.0020e-08	NUM
iajs-1814	64	194	3.7668e-08	3.7668e-08	NUM
iajs-1814	64	195	7.1120e-04	7.1120e-04	NUM
iajs-1814	64	196	2.0645e-15	2.0645e-15	NUM
iajs-1814	64	197	2.0825e-20	2.0825e-20	NUM
iajs-1814	64	198	0.5	0.5	NUM
iajs-1814	64	199	1.6789e-08	1.6789e-08	NUM
iajs-1814	64	200	6.5521e-08	6.5521e-08	NUM
iajs-1814	64	201	7.5878e-04	7.5878e-04	NUM
iajs-1814	64	202	1.8533e-15	1.8533e-15	NUM
iajs-1814	64	203	4.3237e-22	4.3237e-22	NUM
iajs-1814	64	204	2.5	2.5	NUM
iajs-1814	64	205	0.2	0.2	NUM
iajs-1814	64	206	7.8791e-09	7.8791e-09	NUM
iajs-1814	64	207	2.2677e-08	2.2677e-08	NUM
iajs-1814	64	208	7.3051e-04	7.3051e-04	NUM
iajs-1814	64	209	1.0563e-16	1.0563e-16	NUM
iajs-1814	64	210	2.0281e-18	2.0281e-18	NUM
iajs-1814	64	211	0.5	0.5	NUM
iajs-1814	64	212	1.0242e-08	1.0242e-08	NUM
iajs-1814	64	213	2.9311e-07	2.9311e-07	NUM
iajs-1814	64	214	7.2002e-04	7.2002e-04	NUM
iajs-1814	64	215	4.2731e-16	4.2731e-16	NUM
iajs-1814	64	216	5.7699e-18	5.7699e-18	NUM
iajs-1814	64	217	3	3	NUM
iajs-1814	64	218	0.2	0.2	NUM
iajs-1814	64	219	7.8496e-08	7.8496e-08	NUM
iajs-1814	64	220	2.9791e-07	2.9791e-07	NUM
iajs-1814	64	221	6.8397e-04	6.8397e-04	NUM
iajs-1814	64	222	1.6989e-14	1.6989e-14	NUM
iajs-1814	64	223	1.7126e-13	1.7126e-13	NUM
iajs-1814	64	224	0.5	0.5	NUM
iajs-1814	64	225	7.5074e-08	7.5074e-08	NUM
iajs-1814	64	226	9.3980e-08	9.3980e-08	NUM
iajs-1814	64	227	6.7492e-04	6.7492e-04	NUM
iajs-1814	64	228	1.8214e-14	1.8214e-14	NUM
iajs-1814	64	229	2.3336e-13	2.3336e-13	NUM
iajs-1814	64	230	100	100	NUM
iajs-1814	64	231	2	2	NUM
iajs-1814	64	232	0.2	0.2	NUM
iajs-1814	64	233	7.5865e-09	7.5865e-09	NUM
iajs-1814	64	234	4.4484e-08	4.4484e-08	NUM
iajs-1814	64	235	8.1402e-04	8.1402e-04	NUM
iajs-1814	64	236	1.1724e-15	1.1724e-15	NUM
iajs-1814	64	237	7.7964e-34	7.7964e-34	NUM
iajs-1814	64	238	0.5	0.5	NUM
iajs-1814	64	239	8.7731e-15	8.7731e-15	NUM
iajs-1814	64	240	2.5500e-10	2.5500e-10	NUM
iajs-1814	64	241	7.7805e-04	7.7805e-04	NUM
iajs-1814	64	242	2.8446e-31	2.8446e-31	NUM
iajs-1814	64	243	1.6974e-36	1.6974e-36	NUM
iajs-1814	64	244	2.5	2.5	NUM
iajs-1814	64	245	0.2	0.2	NUM
iajs-1814	64	246	2.9358e-09	2.9358e-09	NUM
iajs-1814	64	247	1.2003e-10	1.2003e-10	NUM
iajs-1814	64	248	7.7132e-04	7.7132e-04	NUM
iajs-1814	64	249	1.6660e-16	1.6660e-16	NUM
iajs-1814	64	250	1.3086e-24	1.3086e-24	NUM
iajs-1814	64	251	0.5	0.5	NUM
iajs-1814	64	252	1.1759e-12	1.1759e-12	NUM
iajs-1814	64	253	1.4244e-10	1.4244e-10	NUM
iajs-1814	64	254	7.1239e-04	7.1239e-04	NUM
iajs-1814	64	255	5.0870e-24	5.0870e-24	NUM
iajs-1814	64	256	1.1373e-26	1.1373e-26	NUM
iajs-1814	64	257	3	3	NUM
iajs-1814	64	258	0.2	0.2	NUM
iajs-1814	64	259	1.2099e-07	1.2099e-07	NUM
iajs-1814	64	260	1.4817e-07	1.4817e-07	NUM
iajs-1814	64	261	7.5841e-04	7.5841e-04	NUM
iajs-1814	64	262	9.2427e-14	9.2427e-14	NUM
iajs-1814	64	263	8.1256e-21	8.1256e-21	NUM
iajs-1814	64	264	0.5	0.5	NUM
iajs-1814	64	265	1.2835e-11	1.2835e-11	NUM
iajs-1814	64	266	1.5244e-08	1.5244e-08	NUM
iajs-1814	64	267	7.1580e-04	7.1580e-04	NUM
iajs-1814	64	268	6.5160e-23	6.5160e-23	NUM
iajs-1814	64	269	3.4843e-21	3.4843e-21	NUM
iajs-1814	64	270	4	4	NUM
iajs-1814	64	271	.	.	PUNCT
iajs-1814	64	272	conclusions	conclusion	NOUN
iajs-1814	64	273	from	from	ADP
iajs-1814	64	274	the	the	DET
iajs-1814	64	275	table	table	NOUN
iajs-1814	64	276	(	(	PUNCT
iajs-1814	64	277	2	2	NUM
iajs-1814	64	278	)	)	PUNCT
iajs-1814	64	279	,	,	PUNCT
iajs-1814	64	280	one	one	PRON
iajs-1814	64	281	can	can	AUX
iajs-1814	64	282	be	be	AUX
iajs-1814	64	283	noticed	notice	VERB
iajs-1814	64	284	that	that	SCONJ
iajs-1814	64	285	,	,	PUNCT
iajs-1814	64	286	the	the	DET
iajs-1814	64	287	shrinkage	shrinkage	NOUN
iajs-1814	64	288	method	method	NOUN
iajs-1814	64	289	perform	perform	VERB
iajs-1814	64	290	better	well	ADV
iajs-1814	64	291	than	than	ADP
iajs-1814	64	292	the	the	DET
iajs-1814	64	293	other	other	ADJ
iajs-1814	64	294	methods	method	NOUN
iajs-1814	64	295	in	in	ADP
iajs-1814	64	296	the	the	DET
iajs-1814	64	297	sense	sense	NOUN
iajs-1814	64	298	of	of	ADP
iajs-1814	64	299	mse	mse	NOUN
iajs-1814	64	300	,	,	PUNCT
iajs-1814	64	301	and	and	CCONJ
iajs-1814	64	302	we	we	PRON
iajs-1814	64	303	recommend	recommend	VERB
iajs-1814	64	304	to	to	PART
iajs-1814	64	305	use	use	VERB
iajs-1814	64	306	this	this	DET
iajs-1814	64	307	type	type	NOUN
iajs-1814	64	308	of	of	ADP
iajs-1814	64	309	estimation	estimation	NOUN
iajs-1814	64	310	which	which	PRON
iajs-1814	64	311	is	be	AUX
iajs-1814	64	312	depend	depend	VERB
iajs-1814	64	313	on	on	ADP
iajs-1814	64	314	prior	prior	ADJ
iajs-1814	64	315	information	information	NOUN
iajs-1814	64	316	from	from	ADP
iajs-1814	64	317	the	the	DET
iajs-1814	64	318	past	past	ADJ
iajs-1814	64	319	experiences	experience	NOUN
iajs-1814	64	320	or	or	CCONJ
iajs-1814	64	321	previous	previous	ADJ
iajs-1814	64	322	studies	study	NOUN
iajs-1814	64	323	.	.	PUNCT
iajs-1814	65	1	acknowledgment	acknowledgment	NOUN
iajs-1814	65	2	the	the	DET
iajs-1814	65	3	authors	author	NOUN
iajs-1814	65	4	wanted	want	VERB
iajs-1814	65	5	to	to	PART
iajs-1814	65	6	provide	provide	VERB
iajs-1814	65	7	thanks	thank	NOUN
iajs-1814	65	8	to	to	ADP
iajs-1814	65	9	the	the	DET
iajs-1814	65	10	referees	referee	NOUN
iajs-1814	65	11	and	and	CCONJ
iajs-1814	65	12	to	to	ADP
iajs-1814	65	13	the	the	DET
iajs-1814	65	14	editor	editor	NOUN
iajs-1814	65	15	for	for	ADP
iajs-1814	65	16	constructive	constructive	ADJ
iajs-1814	65	17	suggestions	suggestion	NOUN
iajs-1814	65	18	and	and	CCONJ
iajs-1814	65	19	valuable	valuable	ADJ
iajs-1814	65	20	comments	comment	NOUN
iajs-1814	65	21	which	which	PRON
iajs-1814	65	22	resulted	result	VERB
iajs-1814	65	23	in	in	ADP
iajs-1814	65	24	the	the	DET
iajs-1814	65	25	improvement	improvement	NOUN
iajs-1814	65	26	of	of	ADP
iajs-1814	65	27	this	this	DET
iajs-1814	65	28	article	article	NOUN
iajs-1814	65	29	reference	reference	NOUN
iajs-1814	66	1	[	[	X
iajs-1814	66	2	1	1	X
iajs-1814	66	3	]	]	PUNCT
iajs-1814	66	4	e.	e.	PROPN
iajs-1814	66	5	e.	e.	PROPN
iajs-1814	66	6	afify	afify	PROPN
iajs-1814	66	7	,	,	PUNCT
iajs-1814	66	8	linear	linear	ADJ
iajs-1814	66	9	and	and	CCONJ
iajs-1814	66	10	nonlinear	nonlinear	ADJ
iajs-1814	66	11	regression	regression	NOUN
iajs-1814	66	12	of	of	ADP
iajs-1814	66	13	exponential	exponential	ADJ
iajs-1814	66	14	distribution	distribution	NOUN
iajs-1814	66	15	.	.	PUNCT
iajs-1814	67	1	inter	inter	PROPN
iajs-1814	67	2	.	.	PUNCT
iajs-1814	67	3	statist	statist	PROPN
iajs-1814	67	4	.	.	PUNCT
iajs-1814	67	5	,	,	PUNCT
iajs-1814	67	6	online	online	PROPN
iajs-1814	67	7	statistics	statistic	NOUN
iajs-1814	67	8	journal	journal	PROPN
iajs-1814	67	9	.	.	PUNCT
iajs-1814	68	1	2004	2004	NUM
iajs-1814	69	1	[	[	X
iajs-1814	69	2	2	2	NUM
iajs-1814	69	3	]	]	X
iajs-1814	69	4	a.n	a.n	PROPN
iajs-1814	69	5	.	.	PROPN
iajs-1814	69	6	al	al	PROPN
iajs-1814	69	7	-	-	PUNCT
iajs-1814	69	8	joboori	joboori	PROPN
iajs-1814	69	9	,	,	PUNCT
iajs-1814	69	10	el	el	PROPN
iajs-1814	69	11	al	al	PROPN
iajs-1814	69	12	"	"	PUNCT
iajs-1814	69	13	single	single	ADJ
iajs-1814	69	14	and	and	CCONJ
iajs-1814	69	15	double	double	ADJ
iajs-1814	69	16	stage	stage	NOUN
iajs-1814	69	17	shrinkage	shrinkage	NOUN
iajs-1814	69	18	estimators	estimator	NOUN
iajs-1814	69	19	for	for	ADP
iajs-1814	69	20	the	the	DET
iajs-1814	69	21	normal	normal	ADJ
iajs-1814	69	22	mean	mean	NOUN
iajs-1814	69	23	with	with	ADP
iajs-1814	69	24	the	the	DET
iajs-1814	69	25	variance	variance	NOUN
iajs-1814	69	26	cases	case	NOUN
iajs-1814	69	27	"	"	PUNCT
iajs-1814	69	28	,	,	PUNCT
iajs-1814	69	29	international	international	ADJ
iajs-1814	69	30	journal	journal	NOUN
iajs-1814	69	31	of	of	ADP
iajs-1814	69	32	statistic	statistic	NOUN
iajs-1814	69	33	,	,	PUNCT
iajs-1814	69	34	38	38	NUM
iajs-1814	69	35	,	,	PUNCT
iajs-1814	69	36	2	2	NUM
iajs-1814	69	37	,	,	PUNCT
iajs-1814	69	38	1127	1127	NUM
iajs-1814	69	39	-	-	SYM
iajs-1814	69	40	1134	1134	NUM
iajs-1814	69	41	.	.	PUNCT
iajs-1814	70	1	2014	2014	NUM
iajs-1814	71	1	[	[	X
iajs-1814	71	2	3	3	NUM
iajs-1814	71	3	]	]	PUNCT
iajs-1814	71	4	a.	a.	NOUN
iajs-1814	71	5	c.cohen	c.cohen	PROPN
iajs-1814	71	6	&	&	CCONJ
iajs-1814	71	7	f.	f.	PROPN
iajs-1814	71	8	r.helm	r.helm	PROPN
iajs-1814	71	9	,	,	PUNCT
iajs-1814	71	10	estimation	estimation	NOUN
iajs-1814	71	11	in	in	ADP
iajs-1814	71	12	exponential	exponential	ADJ
iajs-1814	71	13	distribution	distribution	NOUN
iajs-1814	71	14	.	.	PUNCT
iajs-1814	72	1	technometrics	technometric	NOUN
iajs-1814	72	2	,	,	PUNCT
iajs-1814	72	3	15	15	NUM
iajs-1814	72	4	,	,	PUNCT
iajs-1814	72	5	415	415	NUM
iajs-1814	72	6	-	-	SYM
iajs-1814	72	7	418	418	NUM
iajs-1814	72	8	.	.	PUNCT
iajs-1814	73	1	http://dx.doi.org/10.1080/00401706.1973.104890541973	http://dx.doi.org/10.1080/00401706.1973.104890541973	NOUN
iajs-1814	73	2	ihsciconf	ihsciconf	NOUN
iajs-1814	73	3	2017	2017	NUM
iajs-1814	73	4	special	special	ADJ
iajs-1814	73	5	issue	issue	NOUN
iajs-1814	73	6	ibn	ibn	PROPN
iajs-1814	73	7	al	al	PROPN
iajs-1814	73	8	-	-	PUNCT
iajs-1814	73	9	haitham	haitham	PROPN
iajs-1814	73	10	journal	journal	PROPN
iajs-1814	73	11	for	for	ADP
iajs-1814	73	12	pure	pure	ADJ
iajs-1814	73	13	and	and	CCONJ
iajs-1814	73	14	applied	apply	VERB
iajs-1814	73	15	science	science	NOUN
iajs-1814	73	16	https://doi.org/	https://doi.org/	NOUN
iajs-1814	73	17	10.30526/2017.ihsciconf.1814	10.30526/2017.ihsciconf.1814	NUM
iajs-1814	73	18	for	for	ADP
iajs-1814	73	19	more	more	ADJ
iajs-1814	73	20	information	information	NOUN
iajs-1814	73	21	about	about	ADP
iajs-1814	73	22	the	the	DET
iajs-1814	73	23	conference	conference	NOUN
iajs-1814	73	24	please	please	INTJ
iajs-1814	73	25	visit	visit	VERB
iajs-1814	73	26	the	the	DET
iajs-1814	73	27	websites	website	NOUN
iajs-1814	73	28	:	:	PUNCT
iajs-1814	73	29	http://www.ihsciconf.org/conf/	http://www.ihsciconf.org/conf/	VERB
iajs-1814	73	30	   	   	SPACE
iajs-1814	73	31	www.ihsciconf.org	www.ihsciconf.org	ADJ
iajs-1814	73	32	   	   	SPACE
iajs-1814	73	33	mathematics	mathematic	NOUN
iajs-1814	73	34	|	|	ADV
iajs-1814	73	35	419	419	NUM
iajs-1814	73	36	  	  	SPACE
iajs-1814	74	1	[	[	X
iajs-1814	74	2	4	4	X
iajs-1814	74	3	]	]	PUNCT
iajs-1814	74	4	j.	j.	PROPN
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iajs-1814	74	15	of	of	ADP
iajs-1814	74	16	the	the	DET
iajs-1814	74	17	two	two	NUM
iajs-1814	74	18	-	-	PUNCT
iajs-1814	74	19	parameter	parameter	NOUN
iajs-1814	74	20	exponential	exponential	ADJ
iajs-1814	74	21	distribution	distribution	NOUN
iajs-1814	74	22	.	.	PUNCT
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iajs-1814	75	8	i	i	PROPN
iajs-1814	75	9	d	d	PROPN
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iajs-1814	75	11	.	.	PUNCT
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iajs-1814	77	3	5	5	X
iajs-1814	77	4	]	]	PUNCT
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iajs-1814	77	13	two	two	NUM
iajs-1814	77	14	parameter	parameter	NOUN
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iajs-1814	78	4	)	)	PUNCT
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iajs-1814	80	9	.	.	PROPN
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iajs-1814	80	15	a.	a.	PROPN
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iajs-1814	80	24	.	.	PUNCT
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iajs-1814	81	7	.	.	PUNCT
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iajs-1814	82	2	7	7	X
iajs-1814	82	3	]	]	PUNCT
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iajs-1814	82	5	r.	r.	PROPN
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iajs-1814	82	16	distribution	distribution	NOUN
iajs-1814	82	17	parameters	parameter	NOUN
iajs-1814	82	18	.	.	PUNCT
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iajs-1814	83	5	and	and	CCONJ
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iajs-1814	83	8	,	,	PUNCT
iajs-1814	83	9	7(2	7(2	NUM
iajs-1814	83	10	)	)	PUNCT
iajs-1814	83	11	,	,	PUNCT
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iajs-1814	83	13	-	-	SYM
iajs-1814	83	14	232	232	NUM
iajs-1814	83	15	.	.	PUNCT
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iajs-1814	84	2	8	8	NUM
iajs-1814	84	3	]	]	X
iajs-1814	84	4	f.	f.	PROPN
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iajs-1814	84	7	,	,	PUNCT
iajs-1814	84	8	huber	huber	NOUN
iajs-1814	84	9	-	-	PUNCT
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iajs-1814	84	11	robust	robust	ADJ
iajs-1814	84	12	m	m	NOUN
iajs-1814	84	13	-	-	NOUN
iajs-1814	84	14	estimation	estimation	NOUN
iajs-1814	84	15	of	of	ADP
iajs-1814	84	16	a	a	DET
iajs-1814	84	17	scale	scale	NOUN
iajs-1814	84	18	parameter	parameter	NOUN
iajs-1814	84	19	,	,	PUNCT
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iajs-1814	84	21	application	application	NOUN
iajs-1814	84	22	to	to	ADP
iajs-1814	84	23	the	the	DET
iajs-1814	84	24	exponential	exponential	ADJ
iajs-1814	84	25	distribution	distribution	NOUN
iajs-1814	84	26	.	.	PUNCT
iajs-1814	85	1	jasa	jasa	PROPN
iajs-1814	85	2	,	,	PUNCT
iajs-1814	85	3	74	74	NUM
iajs-1814	85	4	,	,	PUNCT
iajs-1814	85	5	147	147	NUM
iajs-1814	85	6	-	-	SYM
iajs-1814	85	7	152	152	NUM
iajs-1814	85	8	.	.	PUNCT
iajs-1814	85	9	1974	1974	NUM
iajs-1814	86	1	[	[	X
iajs-1814	86	2	9	9	NUM
iajs-1814	86	3	]	]	X
iajs-1814	86	4	c.	c.	NOUN
iajs-1814	86	5	petropoulos	petropoulos	PROPN
iajs-1814	86	6	,	,	PUNCT
iajs-1814	86	7	new	new	ADJ
iajs-1814	86	8	classes	class	NOUN
iajs-1814	86	9	of	of	ADP
iajs-1814	86	10	improved	improved	ADJ
iajs-1814	86	11	confidence	confidence	NOUN
iajs-1814	86	12	intervals	interval	NOUN
iajs-1814	86	13	for	for	ADP
iajs-1814	86	14	the	the	DET
iajs-1814	86	15	scale	scale	NOUN
iajs-1814	86	16	parameter	parameter	NOUN
iajs-1814	86	17	of	of	ADP
iajs-1814	86	18	a	a	DET
iajs-1814	86	19	two	two	NUM
iajs-1814	86	20	parameter	parameter	NOUN
iajs-1814	86	21	exponential	exponential	ADJ
iajs-1814	86	22	distribution	distribution	NOUN
iajs-1814	86	23	.	.	PUNCT
iajs-1814	87	1	statistical	statistical	ADJ
iajs-1814	87	2	methodology	methodology	NOUN
iajs-1814	87	3	,	,	PUNCT
iajs-1814	87	4	8(4	8(4	NUM
iajs-1814	87	5	)	)	PUNCT
iajs-1814	87	6	,	,	PUNCT
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iajs-1814	87	8	-	-	SYM
iajs-1814	87	9	410	410	NUM
iajs-1814	87	10	.	.	PUNCT
iajs-1814	87	11	2011	2011	NUM
iajs-1814	87	12	.	.	PUNCT
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iajs-1814	88	2	.	.	PUNCT
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iajs-1814	89	2	10	10	NUM
iajs-1814	89	3	]	]	X
iajs-1814	89	4	j.r	j.r	PROPN
iajs-1814	89	5	.	.	PROPN
iajs-1814	89	6	thompson	thompson	PROPN
iajs-1814	89	7	,	,	PUNCT
iajs-1814	89	8	some	some	DET
iajs-1814	89	9	shrinkage	shrinkage	NOUN
iajs-1814	89	10	techniques	technique	NOUN
iajs-1814	89	11	for	for	ADP
iajs-1814	89	12	estimating	estimate	VERB
iajs-1814	89	13	the	the	DET
iajs-1814	89	14	mean	mean	NOUN
iajs-1814	89	15	.	.	PUNCT
iajs-1814	90	1	j.	j.	PROPN
iajs-1814	90	2	amer	amer	PROPN
iajs-1814	90	3	.	.	PUNCT
iajs-1814	90	4	statist	statist	PROPN
iajs-1814	90	5	.	.	PUNCT
iajs-1814	91	1	assoc	assoc	PROPN
iajs-1814	91	2	.	.	PUNCT
iajs-1814	92	1	63.113	63.113	NUM
iajs-1814	92	2	-	-	SYM
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iajs-1814	92	4	.	.	PUNCT
iajs-1814	93	1	1968	1968	NUM
iajs-1814	93	2	      	      	SPACE