id	sid	tid	token	lemma	pos
iajs-2435	1	1	microsoft	microsoft	PROPN
iajs-2435	1	2	word	word	NOUN
iajs-2435	1	3	140	140	NUM
iajs-2435	1	4	-	-	SYM
iajs-2435	1	5	148	148	NUM
iajs-2435	1	6	  	  	SPACE
iajs-2435	1	7	140	140	NUM
iajs-2435	1	8	  	  	SPACE
iajs-2435	1	9	ibn	ibn	PROPN
iajs-2435	1	10	al	al	PROPN
iajs-2435	1	11	-	-	PUNCT
iajs-2435	1	12	haitham	haitham	PROPN
iajs-2435	1	13	jour	jour	X
iajs-2435	1	14	.	.	PROPN
iajs-2435	2	1	for	for	ADP
iajs-2435	2	2	pure	pure	ADJ
iajs-2435	2	3	&	&	CCONJ
iajs-2435	2	4	appl	appl	PROPN
iajs-2435	2	5	.	.	PUNCT
iajs-2435	3	1	sci	sci	PROPN
iajs-2435	3	2	.	.	PROPN
iajs-2435	4	1	33	33	NUM
iajs-2435	4	2	(	(	PUNCT
iajs-2435	4	3	2	2	NUM
iajs-2435	4	4	)	)	PUNCT
iajs-2435	4	5	2020	2020	NUM
iajs-2435	4	6	      	      	SPACE
iajs-2435	4	7	bayesian	bayesian	NOUN
iajs-2435	4	8	inference	inference	NOUN
iajs-2435	4	9	for	for	ADP
iajs-2435	4	10	the	the	DET
iajs-2435	4	11	parameter	parameter	NOUN
iajs-2435	4	12	and	and	CCONJ
iajs-2435	4	13	reliability	reliability	NOUN
iajs-2435	4	14	function	function	NOUN
iajs-2435	4	15	of	of	ADP
iajs-2435	4	16	basic	basic	ADJ
iajs-2435	4	17	gompertz	gompertz	NOUN
iajs-2435	4	18	distribution	distribution	NOUN
iajs-2435	4	19	under	under	ADP
iajs-2435	4	20	precautionary	precautionary	ADJ
iajs-2435	4	21	loss	loss	NOUN
iajs-2435	4	22	function	function	NOUN
iajs-2435	4	23	article	article	NOUN
iajs-2435	4	24	history	history	NOUN
iajs-2435	4	25	:	:	PUNCT
iajs-2435	4	26	received	receive	VERB
iajs-2435	4	27	15	15	NUM
iajs-2435	4	28	july	july	PROPN
iajs-2435	4	29	2019	2019	NUM
iajs-2435	4	30	,	,	PUNCT
iajs-2435	4	31	accepted	accept	VERB
iajs-2435	4	32	15	15	NUM
iajs-2435	4	33	september	september	PROPN
iajs-2435	4	34	2019	2019	NUM
iajs-2435	4	35	,	,	PUNCT
iajs-2435	4	36	published	publish	VERB
iajs-2435	4	37	in	in	ADP
iajs-2435	4	38	april	april	PROPN
iajs-2435	4	39	2020	2020	NUM
iajs-2435	4	40	.	.	PUNCT
iajs-2435	5	1	abstract	abstract	ADJ
iajs-2435	5	2	in	in	ADP
iajs-2435	5	3	this	this	DET
iajs-2435	5	4	paper	paper	NOUN
iajs-2435	5	5	,	,	PUNCT
iajs-2435	5	6	some	some	DET
iajs-2435	5	7	estimators	estimator	NOUN
iajs-2435	5	8	for	for	ADP
iajs-2435	5	9	the	the	DET
iajs-2435	5	10	unknown	unknown	ADJ
iajs-2435	5	11	shape	shape	NOUN
iajs-2435	5	12	parameter	parameter	NOUN
iajs-2435	5	13	and	and	CCONJ
iajs-2435	5	14	reliability	reliability	NOUN
iajs-2435	5	15	function	function	NOUN
iajs-2435	5	16	of	of	ADP
iajs-2435	5	17	basic	basic	ADJ
iajs-2435	5	18	gompertz	gompertz	NOUN
iajs-2435	5	19	distribution	distribution	NOUN
iajs-2435	5	20	have	have	AUX
iajs-2435	5	21	been	be	AUX
iajs-2435	5	22	obtained	obtain	VERB
iajs-2435	5	23	,	,	PUNCT
iajs-2435	5	24	such	such	ADJ
iajs-2435	5	25	as	as	ADP
iajs-2435	5	26	maximum	maximum	ADJ
iajs-2435	5	27	likelihood	likelihood	NOUN
iajs-2435	5	28	estimator	estimator	NOUN
iajs-2435	5	29	and	and	CCONJ
iajs-2435	5	30	bayesian	bayesian	NOUN
iajs-2435	5	31	estimators	estimator	NOUN
iajs-2435	5	32	under	under	ADP
iajs-2435	5	33	precautionary	precautionary	ADJ
iajs-2435	5	34	loss	loss	NOUN
iajs-2435	5	35	function	function	NOUN
iajs-2435	5	36	using	use	VERB
iajs-2435	5	37	gamma	gamma	NOUN
iajs-2435	5	38	prior	prior	ADV
iajs-2435	5	39	and	and	CCONJ
iajs-2435	5	40	jefferys	jeffery	VERB
iajs-2435	5	41	prior	prior	ADV
iajs-2435	5	42	.	.	PUNCT
iajs-2435	6	1	monte	monte	PROPN
iajs-2435	6	2	-	-	PUNCT
iajs-2435	6	3	carlo	carlo	PROPN
iajs-2435	6	4	simulation	simulation	NOUN
iajs-2435	6	5	is	be	AUX
iajs-2435	6	6	conducted	conduct	VERB
iajs-2435	6	7	to	to	PART
iajs-2435	6	8	compare	compare	VERB
iajs-2435	6	9	mean	mean	VERB
iajs-2435	6	10	squared	square	VERB
iajs-2435	6	11	errors	error	NOUN
iajs-2435	6	12	(	(	PUNCT
iajs-2435	6	13	mse	mse	NOUN
iajs-2435	6	14	)	)	PUNCT
iajs-2435	6	15	for	for	ADP
iajs-2435	6	16	all	all	DET
iajs-2435	6	17	these	these	DET
iajs-2435	6	18	estimators	estimator	NOUN
iajs-2435	6	19	for	for	ADP
iajs-2435	6	20	the	the	DET
iajs-2435	6	21	shape	shape	NOUN
iajs-2435	6	22	parameter	parameter	NOUN
iajs-2435	6	23	and	and	CCONJ
iajs-2435	6	24	integrated	integrate	VERB
iajs-2435	6	25	mean	mean	NOUN
iajs-2435	6	26	squared	square	VERB
iajs-2435	6	27	error	error	NOUN
iajs-2435	6	28	(	(	PUNCT
iajs-2435	6	29	imse	imse	NOUN
iajs-2435	6	30	's	's	PART
iajs-2435	6	31	)	)	PUNCT
iajs-2435	6	32	for	for	ADP
iajs-2435	6	33	comparing	compare	VERB
iajs-2435	6	34	the	the	DET
iajs-2435	6	35	performance	performance	NOUN
iajs-2435	6	36	of	of	ADP
iajs-2435	6	37	the	the	DET
iajs-2435	6	38	reliability	reliability	NOUN
iajs-2435	6	39	estimators	estimator	NOUN
iajs-2435	6	40	.	.	PUNCT
iajs-2435	7	1	finally	finally	ADV
iajs-2435	7	2	,	,	PUNCT
iajs-2435	7	3	the	the	DET
iajs-2435	7	4	discussion	discussion	NOUN
iajs-2435	7	5	is	be	AUX
iajs-2435	7	6	provided	provide	VERB
iajs-2435	7	7	to	to	PART
iajs-2435	7	8	illustrate	illustrate	VERB
iajs-2435	7	9	the	the	DET
iajs-2435	7	10	results	result	NOUN
iajs-2435	7	11	that	that	PRON
iajs-2435	7	12	summarized	summarize	VERB
iajs-2435	7	13	in	in	ADP
iajs-2435	7	14	tables	table	NOUN
iajs-2435	7	15	.	.	PUNCT
iajs-2435	8	1	keywords	keyword	NOUN
iajs-2435	8	2	:	:	PUNCT
iajs-2435	8	3	basic	basic	ADJ
iajs-2435	8	4	gompertz	gompertz	NOUN
iajs-2435	8	5	distribution	distribution	NOUN
iajs-2435	8	6	,	,	PUNCT
iajs-2435	8	7	maximum	maximum	ADJ
iajs-2435	8	8	likelihood	likelihood	NOUN
iajs-2435	8	9	estimator	estimator	NOUN
iajs-2435	8	10	,	,	PUNCT
iajs-2435	8	11	bayes	bayes	PROPN
iajs-2435	8	12	estimator	estimator	NOUN
iajs-2435	8	13	,	,	PUNCT
iajs-2435	8	14	precautionary	precautionary	ADJ
iajs-2435	8	15	loss	loss	NOUN
iajs-2435	8	16	function	function	NOUN
iajs-2435	8	17	,	,	PUNCT
iajs-2435	8	18	mean	mean	VERB
iajs-2435	8	19	squared	square	VERB
iajs-2435	8	20	errors	error	NOUN
iajs-2435	8	21	.	.	PUNCT
iajs-2435	9	1	1	1	X
iajs-2435	9	2	.	.	X
iajs-2435	9	3	introduction	introduction	NOUN
iajs-2435	9	4	the	the	DET
iajs-2435	9	5	gompertz	gompertz	NOUN
iajs-2435	9	6	distribution	distribution	NOUN
iajs-2435	9	7	was	be	AUX
iajs-2435	9	8	originally	originally	ADV
iajs-2435	9	9	introduced	introduce	VERB
iajs-2435	9	10	by	by	ADP
iajs-2435	9	11	benjamin	benjamin	PROPN
iajs-2435	9	12	gompertz	gompertz	PROPN
iajs-2435	9	13	in	in	ADP
iajs-2435	9	14	1825	1825	NUM
iajs-2435	9	15	.	.	PUNCT
iajs-2435	10	1	it	it	PRON
iajs-2435	10	2	is	be	AUX
iajs-2435	10	3	important	important	ADJ
iajs-2435	10	4	in	in	ADP
iajs-2435	10	5	describing	describe	VERB
iajs-2435	10	6	the	the	DET
iajs-2435	10	7	pattern	pattern	NOUN
iajs-2435	10	8	of	of	ADP
iajs-2435	10	9	adult	adult	NOUN
iajs-2435	10	10	deaths	death	NOUN
iajs-2435	10	11	and	and	CCONJ
iajs-2435	10	12	actuarial	actuarial	ADJ
iajs-2435	10	13	tables	table	NOUN
iajs-2435	10	14	.	.	PUNCT
iajs-2435	11	1	the	the	DET
iajs-2435	11	2	gompertz	gompertz	NOUN
iajs-2435	11	3	distribution	distribution	NOUN
iajs-2435	11	4	has	have	VERB
iajs-2435	11	5	many	many	ADJ
iajs-2435	11	6	real	real	ADJ
iajs-2435	11	7	life	life	NOUN
iajs-2435	11	8	applications	application	NOUN
iajs-2435	11	9	,	,	PUNCT
iajs-2435	11	10	especially	especially	ADV
iajs-2435	11	11	in	in	ADP
iajs-2435	11	12	medical	medical	ADJ
iajs-2435	11	13	and	and	CCONJ
iajs-2435	11	14	actuarial	actuarial	ADJ
iajs-2435	11	15	studies	study	NOUN
iajs-2435	11	16	and	and	CCONJ
iajs-2435	11	17	is	be	AUX
iajs-2435	11	18	also	also	ADV
iajs-2435	11	19	used	use	VERB
iajs-2435	11	20	as	as	ADP
iajs-2435	11	21	a	a	DET
iajs-2435	11	22	survival	survival	NOUN
iajs-2435	11	23	model	model	NOUN
iajs-2435	11	24	in	in	ADP
iajs-2435	11	25	reliability	reliability	NOUN
iajs-2435	11	26	[	[	X
iajs-2435	11	27	1	1	NUM
iajs-2435	11	28	]	]	PUNCT
iajs-2435	11	29	.	.	PUNCT
iajs-2435	12	1	reliability	reliability	NOUN
iajs-2435	12	2	theory	theory	NOUN
iajs-2435	12	3	has	have	AUX
iajs-2435	12	4	played	play	VERB
iajs-2435	12	5	a	a	DET
iajs-2435	12	6	major	major	ADJ
iajs-2435	12	7	role	role	NOUN
iajs-2435	12	8	in	in	ADP
iajs-2435	12	9	the	the	DET
iajs-2435	12	10	rapid	rapid	ADJ
iajs-2435	12	11	interest	interest	NOUN
iajs-2435	12	12	in	in	ADP
iajs-2435	12	13	the	the	DET
iajs-2435	12	14	study	study	NOUN
iajs-2435	12	15	of	of	ADP
iajs-2435	12	16	models	model	NOUN
iajs-2435	12	17	of	of	ADP
iajs-2435	12	18	failure	failure	NOUN
iajs-2435	12	19	.	.	PUNCT
iajs-2435	13	1	this	this	DET
iajs-2435	13	2	theory	theory	NOUN
iajs-2435	13	3	deals	deal	VERB
iajs-2435	13	4	with	with	ADP
iajs-2435	13	5	the	the	DET
iajs-2435	13	6	study	study	NOUN
iajs-2435	13	7	of	of	ADP
iajs-2435	13	8	ages	age	NOUN
iajs-2435	13	9	to	to	PART
iajs-2435	13	10	investigate	investigate	VERB
iajs-2435	13	11	and	and	CCONJ
iajs-2435	13	12	study	study	VERB
iajs-2435	13	13	the	the	DET
iajs-2435	13	14	behavior	behavior	NOUN
iajs-2435	13	15	failure	failure	NOUN
iajs-2435	13	16	time	time	NOUN
iajs-2435	13	17	at	at	ADP
iajs-2435	13	18	posterior	posterior	ADJ
iajs-2435	13	19	time	time	NOUN
iajs-2435	13	20	.	.	PUNCT
iajs-2435	14	1	reliability	reliability	NOUN
iajs-2435	14	2	theory	theory	NOUN
iajs-2435	14	3	is	be	AUX
iajs-2435	14	4	one	one	NUM
iajs-2435	14	5	of	of	ADP
iajs-2435	14	6	those	those	DET
iajs-2435	14	7	standards	standard	NOUN
iajs-2435	14	8	that	that	PRON
iajs-2435	14	9	show	show	VERB
iajs-2435	14	10	the	the	DET
iajs-2435	14	11	performances	performance	NOUN
iajs-2435	14	12	of	of	ADP
iajs-2435	14	13	any	any	DET
iajs-2435	14	14	unite	unite	NOUN
iajs-2435	14	15	for	for	ADP
iajs-2435	14	16	an	an	DET
iajs-2435	14	17	expected	expect	VERB
iajs-2435	14	18	period	period	NOUN
iajs-2435	14	19	of	of	ADP
iajs-2435	14	20	time	time	NOUN
iajs-2435	14	21	.	.	PUNCT
iajs-2435	15	1	it	it	PRON
iajs-2435	15	2	is	be	AUX
iajs-2435	15	3	also	also	ADV
iajs-2435	15	4	considered	consider	VERB
iajs-2435	15	5	an	an	DET
iajs-2435	15	6	indicator	indicator	NOUN
iajs-2435	15	7	for	for	ADP
iajs-2435	15	8	future	future	ADJ
iajs-2435	15	9	planning	planning	NOUN
iajs-2435	15	10	2	2	NUM
iajs-2435	15	11	.	.	PUNCT
iajs-2435	16	1	the	the	DET
iajs-2435	16	2	probability	probability	NOUN
iajs-2435	16	3	density	density	NOUN
iajs-2435	16	4	function	function	NOUN
iajs-2435	16	5	of	of	ADP
iajs-2435	16	6	the	the	DET
iajs-2435	16	7	gompertz	gompertz	NOUN
iajs-2435	16	8	distribution	distribution	NOUN
iajs-2435	16	9	is	be	AUX
iajs-2435	16	10	defined	define	VERB
iajs-2435	16	11	as	as	SCONJ
iajs-2435	16	12	follows	follow	VERB
iajs-2435	16	13	[	[	X
iajs-2435	16	14	3	3	NUM
iajs-2435	16	15	]	]	X
iajs-2435	16	16	:	:	PUNCT
iajs-2435	16	17	f	f	PROPN
iajs-2435	16	18	t	t	PROPN
iajs-2435	16	19	;	;	PUNCT
iajs-2435	16	20	λ	λ	PROPN
iajs-2435	16	21	λ	λ	PROPN
iajs-2435	16	22	exp	exp	NOUN
iajs-2435	16	23	c	c	PROPN
iajs-2435	16	24	t	t	PROPN
iajs-2435	16	25	1	1	NUM
iajs-2435	16	26	e	e	NOUN
iajs-2435	16	27	;	;	PUNCT
iajs-2435	16	28	t	t	PROPN
iajs-2435	16	29	0	0	NUM
iajs-2435	16	30	𝑐	𝑐	PROPN
iajs-2435	16	31	,	,	PUNCT
iajs-2435	16	32	λ	λ	X
iajs-2435	16	33	>	>	X
iajs-2435	16	34	0	0	NUM
iajs-2435	16	35	where	where	SCONJ
iajs-2435	16	36	c	c	NOUN
iajs-2435	16	37	is	be	AUX
iajs-2435	16	38	the	the	DET
iajs-2435	16	39	scale	scale	NOUN
iajs-2435	16	40	parameter	parameter	NOUN
iajs-2435	16	41	and	and	CCONJ
iajs-2435	16	42	λ	λ	PROPN
iajs-2435	16	43	is	be	AUX
iajs-2435	16	44	the	the	DET
iajs-2435	16	45	scale	scale	NOUN
iajs-2435	16	46	parameter	parameter	NOUN
iajs-2435	16	47	of	of	ADP
iajs-2435	16	48	the	the	DET
iajs-2435	16	49	gompertz	gompertz	NOUN
iajs-2435	16	50	distribution	distribution	NOUN
iajs-2435	16	51	.	.	PUNCT
iajs-2435	17	1	ibn	ibn	PROPN
iajs-2435	17	2	al	al	PROPN
iajs-2435	17	3	haitham	haitham	PROPN
iajs-2435	17	4	journal	journal	PROPN
iajs-2435	17	5	for	for	ADP
iajs-2435	17	6	pure	pure	ADJ
iajs-2435	17	7	and	and	CCONJ
iajs-2435	17	8	applied	apply	VERB
iajs-2435	17	9	science	science	NOUN
iajs-2435	17	10	journal	journal	PROPN
iajs-2435	17	11	homepage	homepage	NOUN
iajs-2435	17	12	:	:	PUNCT
iajs-2435	17	13	http://jih.uobaghdad.edu.iq/index.php/j/index	http://jih.uobaghdad.edu.iq/index.php/j/index	NOUN
iajs-2435	17	14	doi	doi	NOUN
iajs-2435	17	15	:	:	PUNCT
iajs-2435	18	1	10.30526/33.2.2435	10.30526/33.2.2435	PROPN
iajs-2435	18	2	manahel.kh@yahoo.com	manahel.kh@yahoo.com	PROPN
iajs-2435	18	3	hudamath@uomustansiriyah.edu.iq	hudamath@uomustansiriyah.edu.iq	PROPN
iajs-2435	18	4	manahel	manahel	PROPN
iajs-2435	18	5	kh	kh	PROPN
iajs-2435	18	6	.	.	PROPN
iajs-2435	19	1	awad	awad	PROPN
iajs-2435	19	2	huda	huda	PROPN
iajs-2435	19	3	a.	a.	PROPN
iajs-2435	19	4	rasheed	rasheed	PROPN
iajs-2435	19	5	department	department	PROPN
iajs-2435	19	6	of	of	ADP
iajs-2435	19	7	mathematics	mathematic	NOUN
iajs-2435	19	8	,	,	PUNCT
iajs-2435	19	9	collage	collage	NOUN
iajs-2435	19	10	of	of	ADP
iajs-2435	19	11	science	science	NOUN
iajs-2435	19	12	,	,	PUNCT
iajs-2435	19	13	university	university	NOUN
iajs-2435	19	14	of	of	ADP
iajs-2435	19	15	mustansiriyah	mustansiriyah	NOUN
iajs-2435	19	16	.	.	PUNCT
iajs-2435	19	17	  	  	SPACE
iajs-2435	20	1	141	141	NUM
iajs-2435	20	2	  	  	SPACE
iajs-2435	20	3	ibn	ibn	PROPN
iajs-2435	20	4	al	al	PROPN
iajs-2435	20	5	-	-	PUNCT
iajs-2435	20	6	haitham	haitham	PROPN
iajs-2435	20	7	jour	jour	X
iajs-2435	20	8	.	.	PROPN
iajs-2435	20	9	for	for	ADP
iajs-2435	20	10	pure	pure	ADJ
iajs-2435	20	11	&	&	CCONJ
iajs-2435	20	12	appl	appl	PROPN
iajs-2435	20	13	.	.	PUNCT
iajs-2435	21	1	sci	sci	PROPN
iajs-2435	21	2	.	.	PROPN
iajs-2435	22	1	33	33	NUM
iajs-2435	22	2	(	(	PUNCT
iajs-2435	22	3	2	2	NUM
iajs-2435	22	4	)	)	PUNCT
iajs-2435	22	5	2020	2020	NUM
iajs-2435	22	6	in	in	ADP
iajs-2435	22	7	this	this	DET
iajs-2435	22	8	paper	paper	NOUN
iajs-2435	22	9	,	,	PUNCT
iajs-2435	22	10	we	we	PRON
iajs-2435	22	11	'll	will	AUX
iajs-2435	22	12	assume	assume	VERB
iajs-2435	22	13	that	that	SCONJ
iajs-2435	22	14	c	c	NOUN
iajs-2435	22	15	=	=	SYM
iajs-2435	22	16	1	1	NUM
iajs-2435	22	17	which	which	PRON
iajs-2435	22	18	is	be	AUX
iajs-2435	22	19	a	a	DET
iajs-2435	22	20	special	special	ADJ
iajs-2435	22	21	case	case	NOUN
iajs-2435	22	22	of	of	ADP
iajs-2435	22	23	gompertz	gompertz	NOUN
iajs-2435	22	24	distribution	distribution	NOUN
iajs-2435	22	25	known	know	VERB
iajs-2435	22	26	as	as	ADP
iajs-2435	22	27	basic	basic	ADJ
iajs-2435	22	28	gompertz	gompertz	NOUN
iajs-2435	22	29	distribution	distribution	NOUN
iajs-2435	22	30	with	with	ADP
iajs-2435	22	31	the	the	DET
iajs-2435	22	32	following	follow	VERB
iajs-2435	22	33	probability	probability	NOUN
iajs-2435	22	34	density	density	NOUN
iajs-2435	22	35	function	function	NOUN
iajs-2435	22	36	:	:	PUNCT
iajs-2435	22	37	f	f	PROPN
iajs-2435	22	38	t	t	PROPN
iajs-2435	22	39	;	;	PUNCT
iajs-2435	22	40	λ	λ	PROPN
iajs-2435	22	41	λ	λ	PROPN
iajs-2435	22	42	exp	exp	NOUN
iajs-2435	22	43	t	t	PROPN
iajs-2435	22	44	λ	λ	PROPN
iajs-2435	22	45	1	1	NUM
iajs-2435	22	46	e	e	NOUN
iajs-2435	22	47	;	;	PUNCT
iajs-2435	22	48	t	t	PROPN
iajs-2435	22	49	0	0	NUM
iajs-2435	22	50	,	,	PUNCT
iajs-2435	22	51	λ	λ	X
iajs-2435	22	52	>	>	X
iajs-2435	22	53	0	0	PUNCT
iajs-2435	23	1	(	(	PUNCT
iajs-2435	23	2	1	1	X
iajs-2435	23	3	)	)	PUNCT
iajs-2435	23	4	the	the	DET
iajs-2435	23	5	corresponding	corresponding	ADJ
iajs-2435	23	6	cumulative	cumulative	ADJ
iajs-2435	23	7	distribution	distribution	NOUN
iajs-2435	23	8	function	function	NOUN
iajs-2435	23	9	f(t	f(t	NOUN
iajs-2435	23	10	)	)	PUNCT
iajs-2435	23	11	is	be	AUX
iajs-2435	23	12	given	give	VERB
iajs-2435	23	13	by	by	ADP
iajs-2435	23	14	[	[	X
iajs-2435	23	15	3	3	NUM
iajs-2435	23	16	]	]	X
iajs-2435	23	17	:	:	PUNCT
iajs-2435	23	18	f	f	PROPN
iajs-2435	23	19	t	t	PROPN
iajs-2435	23	20	1	1	NUM
iajs-2435	23	21	exp	exp	NOUN
iajs-2435	23	22	λ	λ	PROPN
iajs-2435	23	23	1	1	NUM
iajs-2435	23	24	e	e	NOUN
iajs-2435	23	25	;	;	PUNCT
iajs-2435	23	26	t	t	PROPN
iajs-2435	23	27	0	0	NUM
iajs-2435	23	28	(	(	PUNCT
iajs-2435	23	29	2	2	X
iajs-2435	23	30	)	)	PUNCT
iajs-2435	23	31	the	the	DET
iajs-2435	23	32	reliability	reliability	NOUN
iajs-2435	23	33	or	or	CCONJ
iajs-2435	23	34	survival	survival	NOUN
iajs-2435	23	35	function	function	NOUN
iajs-2435	23	36	r(t	r(t	NOUN
iajs-2435	23	37	)	)	PUNCT
iajs-2435	23	38	and	and	CCONJ
iajs-2435	23	39	hazard	hazard	NOUN
iajs-2435	23	40	rate	rate	NOUN
iajs-2435	23	41	h(t	h(t	PROPN
iajs-2435	23	42	)	)	PUNCT
iajs-2435	23	43	of	of	ADP
iajs-2435	23	44	basic	basic	ADJ
iajs-2435	23	45	gompertz	gompertz	NOUN
iajs-2435	23	46	distribution	distribution	NOUN
iajs-2435	23	47	are	be	AUX
iajs-2435	23	48	defined	define	VERB
iajs-2435	23	49	as	as	ADP
iajs-2435	23	50	r(t	r(t	NOUN
iajs-2435	23	51	)	)	PUNCT
iajs-2435	24	1	f	f	PROPN
iajs-2435	24	2	t	t	PROPN
iajs-2435	24	3	exp	exp	NOUN
iajs-2435	24	4	λ	λ	PROPN
iajs-2435	24	5	1	1	NUM
iajs-2435	24	6	e	e	NOUN
iajs-2435	24	7	;	;	PUNCT
iajs-2435	24	8	t	t	PROPN
iajs-2435	24	9	0	0	NUM
iajs-2435	25	1	the	the	DET
iajs-2435	25	2	hazard	hazard	NOUN
iajs-2435	25	3	function	function	NOUN
iajs-2435	25	4	h(t	h(t	PROPN
iajs-2435	25	5	)	)	PUNCT
iajs-2435	25	6	which	which	PRON
iajs-2435	25	7	is	be	AUX
iajs-2435	25	8	devoted	devote	VERB
iajs-2435	25	9	to	to	ADP
iajs-2435	25	10	the	the	DET
iajs-2435	25	11	rate	rate	NOUN
iajs-2435	25	12	of	of	ADP
iajs-2435	25	13	failure	failure	NOUN
iajs-2435	25	14	of	of	ADP
iajs-2435	25	15	the	the	DET
iajs-2435	25	16	system	system	NOUN
iajs-2435	25	17	immediately	immediately	ADV
iajs-2435	25	18	after	after	ADP
iajs-2435	25	19	time	time	NOUN
iajs-2435	25	20	t	t	PROPN
iajs-2435	25	21	,	,	PUNCT
iajs-2435	25	22	is	be	AUX
iajs-2435	25	23	defined	define	VERB
iajs-2435	25	24	as	as	ADP
iajs-2435	25	25	:	:	PUNCT
iajs-2435	25	26	h(t	h(t	X
iajs-2435	25	27	)	)	PUNCT
iajs-2435	25	28	=	=	PUNCT
iajs-2435	26	1	=	=	PUNCT
iajs-2435	26	2	λ	λ	X
iajs-2435	26	3	λ	λ	X
iajs-2435	26	4	λ	λ	NOUN
iajs-2435	26	5	=	=	SYM
iajs-2435	26	6	λ	λ	PROPN
iajs-2435	26	7	exp	exp	NOUN
iajs-2435	26	8	t	t	NOUN
iajs-2435	26	9	respectively	respectively	ADV
iajs-2435	26	10	,	,	PUNCT
iajs-2435	26	11	2	2	X
iajs-2435	26	12	.	.	PUNCT
iajs-2435	26	13	maximum	maximum	ADJ
iajs-2435	26	14	likelihood	likelihood	NOUN
iajs-2435	26	15	estimator	estimator	NOUN
iajs-2435	26	16	of	of	ADP
iajs-2435	26	17	the	the	DET
iajs-2435	26	18	shape	shape	NOUN
iajs-2435	26	19	parameter	parameter	NOUN
iajs-2435	26	20	(	(	PUNCT
iajs-2435	26	21	λ	λ	NOUN
iajs-2435	26	22	)	)	PUNCT
iajs-2435	27	1	[	[	X
iajs-2435	27	2	4	4	NUM
iajs-2435	27	3	,	,	PUNCT
iajs-2435	27	4	5	5	NUM
iajs-2435	27	5	]	]	PUNCT
iajs-2435	27	6	.	.	PUNCT
iajs-2435	28	1	let	let	VERB
iajs-2435	28	2	t	t	NOUN
iajs-2435	28	3	=	=	SYM
iajs-2435	28	4	t1	t1	PROPN
iajs-2435	28	5	,	,	PUNCT
iajs-2435	28	6	t2	t2	NOUN
iajs-2435	28	7	,	,	PUNCT
iajs-2435	28	8	...	...	PUNCT
iajs-2435	28	9	,	,	PUNCT
iajs-2435	28	10	tn	tn	PROPN
iajs-2435	28	11	be	be	VERB
iajs-2435	28	12	a	a	DET
iajs-2435	28	13	random	random	ADJ
iajs-2435	28	14	sample	sample	NOUN
iajs-2435	28	15	of	of	ADP
iajs-2435	28	16	size	size	NOUN
iajs-2435	28	17	n	n	CCONJ
iajs-2435	28	18	from	from	ADP
iajs-2435	28	19	the	the	DET
iajs-2435	28	20	basic	basic	ADJ
iajs-2435	28	21	gompertz	gompertz	NOUN
iajs-2435	28	22	distribution	distribution	NOUN
iajs-2435	28	23	defined	define	VERB
iajs-2435	28	24	by	by	ADP
iajs-2435	28	25	eq	eq	PROPN
iajs-2435	28	26	.	.	PUNCT
iajs-2435	29	1	(	(	PUNCT
iajs-2435	29	2	1	1	NUM
iajs-2435	29	3	)	)	PUNCT
iajs-2435	29	4	,	,	PUNCT
iajs-2435	29	5	the	the	DET
iajs-2435	29	6	likelihood	likelihood	NOUN
iajs-2435	29	7	function	function	NOUN
iajs-2435	29	8	for	for	ADP
iajs-2435	29	9	the	the	DET
iajs-2435	29	10	sample	sample	NOUN
iajs-2435	29	11	observation	observation	NOUN
iajs-2435	29	12	will	will	AUX
iajs-2435	29	13	be	be	AUX
iajs-2435	29	14	as	as	SCONJ
iajs-2435	29	15	follows	follow	VERB
iajs-2435	29	16	:	:	PUNCT
iajs-2435	29	17	l	l	PROPN
iajs-2435	29	18	t	t	PROPN
iajs-2435	29	19	,	,	PUNCT
iajs-2435	29	20	t	t	PROPN
iajs-2435	29	21	,	,	PUNCT
iajs-2435	29	22	.	.	PUNCT
iajs-2435	29	23	.	.	PUNCT
iajs-2435	30	1	.	.	PUNCT
iajs-2435	31	1	,	,	PUNCT
iajs-2435	31	2	t	t	NOUN
iajs-2435	31	3	;	;	PUNCT
iajs-2435	31	4	λ	λ	PROPN
iajs-2435	31	5	π	π	X
iajs-2435	31	6	f	f	PROPN
iajs-2435	31	7	t	t	PROPN
iajs-2435	31	8	;	;	PUNCT
iajs-2435	31	9	λ	λ	PROPN
iajs-2435	31	10	λ	λ	X
iajs-2435	31	11	exp	exp	NOUN
iajs-2435	31	12	∑	∑	PROPN
iajs-2435	31	13	t	t	PROPN
iajs-2435	31	14	λ	λ	PROPN
iajs-2435	31	15	∑	∑	PROPN
iajs-2435	31	16	1	1	NUM
iajs-2435	31	17	e	e	X
iajs-2435	31	18	(	(	PUNCT
iajs-2435	31	19	3	3	X
iajs-2435	31	20	)	)	PUNCT
iajs-2435	31	21	the	the	DET
iajs-2435	31	22	natural	natural	ADJ
iajs-2435	31	23	log	log	NOUN
iajs-2435	31	24	-	-	PUNCT
iajs-2435	31	25	likelihood	likelihood	NOUN
iajs-2435	31	26	function	function	NOUN
iajs-2435	31	27	will	will	AUX
iajs-2435	31	28	be	be	AUX
iajs-2435	31	29	:	:	PUNCT
iajs-2435	31	30	ln	ln	ADJ
iajs-2435	31	31	l	l	NOUN
iajs-2435	31	32	t	t	NOUN
iajs-2435	31	33	;	;	PUNCT
iajs-2435	31	34	λ	λ	PROPN
iajs-2435	31	35	n	n	CCONJ
iajs-2435	31	36	ln	ln	PROPN
iajs-2435	31	37	λ	λ	PROPN
iajs-2435	31	38	∑	∑	PROPN
iajs-2435	31	39	t	t	PROPN
iajs-2435	31	40	λ	λ	PROPN
iajs-2435	31	41	∑	∑	PROPN
iajs-2435	31	42	1	1	NUM
iajs-2435	31	43	e	e	X
iajs-2435	31	44	by	by	ADP
iajs-2435	31	45	differentiating	differentiate	VERB
iajs-2435	31	46	partially	partially	ADV
iajs-2435	31	47	ln	ln	ADP
iajs-2435	31	48	l	l	NOUN
iajs-2435	31	49	t	t	NOUN
iajs-2435	31	50	;	;	PUNCT
iajs-2435	31	51	λ	λ	NOUN
iajs-2435	31	52	given	give	VERB
iajs-2435	31	53	above	above	ADV
iajs-2435	31	54	with	with	ADP
iajs-2435	31	55	respect	respect	NOUN
iajs-2435	31	56	to	to	ADP
iajs-2435	31	57	λ	λ	PROPN
iajs-2435	31	58	and	and	CCONJ
iajs-2435	31	59	equate	equate	VERB
iajs-2435	31	60	to	to	ADP
iajs-2435	31	61	zero	zero	NUM
iajs-2435	31	62	,	,	PUNCT
iajs-2435	31	63	the	the	DET
iajs-2435	31	64	mle	mle	NOUN
iajs-2435	31	65	of	of	ADP
iajs-2435	31	66	λ	λ	PROPN
iajs-2435	31	67	become	become	VERB
iajs-2435	31	68	:	:	PUNCT
iajs-2435	31	69	λ	λ	X
iajs-2435	31	70	∑	∑	PROPN
iajs-2435	31	71	(	(	PUNCT
iajs-2435	31	72	4	4	NUM
iajs-2435	31	73	)	)	PUNCT
iajs-2435	31	74	where	where	SCONJ
iajs-2435	31	75	t	t	NOUN
iajs-2435	31	76	=	=	PUNCT
iajs-2435	31	77	∑	∑	PROPN
iajs-2435	31	78	1	1	NUM
iajs-2435	31	79	e	e	SYM
iajs-2435	31	80	3	3	NUM
iajs-2435	31	81	.	.	PUNCT
iajs-2435	31	82	bayesian	bayesian	NOUN
iajs-2435	31	83	estimation	estimation	NOUN
iajs-2435	31	84	3.1	3.1	NUM
iajs-2435	31	85	.	.	PUNCT
iajs-2435	31	86	posterior	posterior	ADJ
iajs-2435	31	87	density	density	NOUN
iajs-2435	31	88	functions	function	NOUN
iajs-2435	31	89	using	use	VERB
iajs-2435	31	90	gamma	gamma	NOUN
iajs-2435	31	91	distribution	distribution	NOUN
iajs-2435	31	92	[	[	X
iajs-2435	31	93	6	6	NUM
iajs-2435	31	94	,	,	PUNCT
iajs-2435	31	95	7	7	NUM
iajs-2435	31	96	]	]	PUNCT
iajs-2435	31	97	.	.	PUNCT
iajs-2435	32	1	in	in	ADP
iajs-2435	32	2	this	this	DET
iajs-2435	32	3	section	section	NOUN
iajs-2435	32	4	,	,	PUNCT
iajs-2435	32	5	gamma	gamma	NOUN
iajs-2435	32	6	distribution	distribution	NOUN
iajs-2435	32	7	had	have	AUX
iajs-2435	32	8	been	be	AUX
iajs-2435	32	9	considered	consider	VERB
iajs-2435	32	10	as	as	ADP
iajs-2435	32	11	a	a	DET
iajs-2435	32	12	prior	prior	ADJ
iajs-2435	32	13	distribution	distribution	NOUN
iajs-2435	32	14	of	of	ADP
iajs-2435	32	15	the	the	DET
iajs-2435	32	16	shape	shape	NOUN
iajs-2435	32	17	parameter	parameter	NOUN
iajs-2435	32	18	λ	λ	PROPN
iajs-2435	32	19	which	which	PRON
iajs-2435	32	20	is	be	AUX
iajs-2435	32	21	defined	define	VERB
iajs-2435	32	22	as	as	SCONJ
iajs-2435	32	23	follows	follow	VERB
iajs-2435	32	24	:	:	PUNCT
iajs-2435	32	25	g(λ	g(λ	PROPN
iajs-2435	32	26	)	)	PUNCT
iajs-2435	33	1	=	=	PUNCT
iajs-2435	33	2	λ	λ	X
iajs-2435	33	3	e	e	X
iajs-2435	33	4	α	α	PROPN
iajs-2435	33	5	,	,	PUNCT
iajs-2435	33	6	β	β	PROPN
iajs-2435	33	7	0	0	NUM
iajs-2435	33	8	;	;	PUNCT
iajs-2435	33	9	λ	λ	X
iajs-2435	33	10	0	0	PUNCT
iajs-2435	33	11	(	(	PUNCT
iajs-2435	33	12	5	5	NUM
iajs-2435	33	13	)	)	PUNCT
iajs-2435	33	14	the	the	DET
iajs-2435	33	15	posterior	posterior	ADJ
iajs-2435	33	16	probability	probability	NOUN
iajs-2435	33	17	density	density	NOUN
iajs-2435	33	18	function	function	NOUN
iajs-2435	33	19	of	of	ADP
iajs-2435	33	20	the	the	DET
iajs-2435	33	21	shape	shape	NOUN
iajs-2435	33	22	parameter	parameter	NOUN
iajs-2435	33	23	λ	λ	PROPN
iajs-2435	33	24	can	can	AUX
iajs-2435	33	25	be	be	AUX
iajs-2435	33	26	expressed	express	VERB
iajs-2435	33	27	as	as	ADP
iajs-2435	33	28	form	form	NOUN
iajs-2435	33	29	h	h	NOUN
iajs-2435	33	30	λ|t	λ|t	PROPN
iajs-2435	33	31	l	l	PROPN
iajs-2435	33	32	t	t	PROPN
iajs-2435	33	33	,	,	PUNCT
iajs-2435	33	34	t	t	PROPN
iajs-2435	33	35	,	,	PUNCT
iajs-2435	33	36	.	.	PUNCT
iajs-2435	33	37	.	.	PUNCT
iajs-2435	34	1	.	.	PUNCT
iajs-2435	35	1	,	,	PUNCT
iajs-2435	35	2	t	t	NOUN
iajs-2435	35	3	;	;	PUNCT
iajs-2435	35	4	λ	λ	PROPN
iajs-2435	35	5	g	g	NOUN
iajs-2435	35	6	λ	λ	PROPN
iajs-2435	35	7	l	l	PROPN
iajs-2435	35	8	t	t	PROPN
iajs-2435	35	9	,	,	PUNCT
iajs-2435	35	10	t	t	PROPN
iajs-2435	35	11	,	,	PUNCT
iajs-2435	35	12	.	.	PUNCT
iajs-2435	35	13	.	.	PUNCT
iajs-2435	36	1	.	.	PUNCT
iajs-2435	37	1	,	,	PUNCT
iajs-2435	37	2	t	t	NOUN
iajs-2435	37	3	;	;	PUNCT
iajs-2435	37	4	λ	λ	PROPN
iajs-2435	37	5	g	g	PROPN
iajs-2435	37	6	λ	λ	X
iajs-2435	37	7	dλ	dλ	NOUN
iajs-2435	37	8	∀	∀	NOUN
iajs-2435	37	9	6	6	NUM
iajs-2435	37	10	now	now	ADV
iajs-2435	37	11	,	,	PUNCT
iajs-2435	37	12	combining	combine	VERB
iajs-2435	37	13	eq	eq	ADP
iajs-2435	37	14	.	.	PUNCT
iajs-2435	38	1	(	(	PUNCT
iajs-2435	38	2	3	3	X
iajs-2435	38	3	)	)	PUNCT
iajs-2435	38	4	with	with	ADP
iajs-2435	38	5	eq	eq	NOUN
iajs-2435	38	6	.	.	PUNCT
iajs-2435	39	1	(	(	PUNCT
iajs-2435	39	2	5	5	NUM
iajs-2435	39	3	)	)	PUNCT
iajs-2435	39	4	in	in	ADP
iajs-2435	39	5	eq	eq	ADP
iajs-2435	39	6	.	.	PUNCT
iajs-2435	40	1	(	(	PUNCT
iajs-2435	40	2	6	6	NUM
iajs-2435	40	3	)	)	PUNCT
iajs-2435	40	4	,	,	PUNCT
iajs-2435	40	5	yields	yield	NOUN
iajs-2435	40	6	:	:	PUNCT
iajs-2435	40	7	  	  	SPACE
iajs-2435	40	8	142	142	NUM
iajs-2435	40	9	  	  	SPACE
iajs-2435	40	10	ibn	ibn	PROPN
iajs-2435	40	11	al	al	PROPN
iajs-2435	40	12	-	-	PUNCT
iajs-2435	40	13	haitham	haitham	PROPN
iajs-2435	40	14	jour	jour	X
iajs-2435	40	15	.	.	PROPN
iajs-2435	41	1	for	for	ADP
iajs-2435	41	2	pure	pure	ADJ
iajs-2435	41	3	&	&	CCONJ
iajs-2435	41	4	appl	appl	PROPN
iajs-2435	41	5	.	.	PUNCT
iajs-2435	42	1	sci	sci	PROPN
iajs-2435	42	2	.	.	PROPN
iajs-2435	43	1	33	33	NUM
iajs-2435	43	2	(	(	PUNCT
iajs-2435	43	3	2	2	NUM
iajs-2435	43	4	)	)	PUNCT
iajs-2435	43	5	2020	2020	NUM
iajs-2435	43	6	h	h	NOUN
iajs-2435	43	7	λ|t	λ|t	X
iajs-2435	43	8	after	after	ADP
iajs-2435	43	9	simplification	simplification	NOUN
iajs-2435	43	10	,	,	PUNCT
iajs-2435	43	11	we	we	PRON
iajs-2435	43	12	get	get	VERB
iajs-2435	43	13	:	:	PUNCT
iajs-2435	43	14	h	h	NOUN
iajs-2435	43	15	λ|t	λ|t	ADP
iajs-2435	43	16	the	the	DET
iajs-2435	43	17	posterior	posterior	ADJ
iajs-2435	43	18	pdf	pdf	NOUN
iajs-2435	43	19	of	of	ADP
iajs-2435	43	20	the	the	DET
iajs-2435	43	21	parameter	parameter	NOUN
iajs-2435	43	22	λ	λ	PROPN
iajs-2435	43	23	is	be	AUX
iajs-2435	43	24	obviously	obviously	ADV
iajs-2435	43	25	gamma	gamma	NOUN
iajs-2435	43	26	distribution	distribution	NOUN
iajs-2435	43	27	,	,	PUNCT
iajs-2435	43	28	i.e.	i.e.	X
iajs-2435	43	29	,	,	PUNCT
iajs-2435	43	30	λ|t	λ|t	PRON
iajs-2435	43	31	~𝐺𝑎𝑚𝑚𝑎	~𝐺𝑎𝑚𝑚𝑎	ADP
iajs-2435	43	32	𝑛	𝑛	DET
iajs-2435	43	33	𝛼	𝛼	NOUN
iajs-2435	43	34	,	,	PUNCT
iajs-2435	43	35	𝛽	𝛽	NOUN
iajs-2435	43	36	𝑇	𝑇	PROPN
iajs-2435	43	37	,	,	PUNCT
iajs-2435	43	38	with	with	ADP
iajs-2435	43	39	e	e	PROPN
iajs-2435	43	40	λ|t	λ|t	PROPN
iajs-2435	43	41	,	,	PUNCT
iajs-2435	43	42	var	var	X
iajs-2435	43	43	λ|t	λ|t	X
iajs-2435	43	44	~	~	SYM
iajs-2435	43	45	λ	λ	PROPN
iajs-2435	43	46	3.2	3.2	NUM
iajs-2435	43	47	.	.	PUNCT
iajs-2435	44	1	posterior	posterior	ADJ
iajs-2435	44	2	density	density	NOUN
iajs-2435	44	3	functions	function	NOUN
iajs-2435	44	4	using	use	VERB
iajs-2435	44	5	jeffreys	jeffreys	PROPN
iajs-2435	44	6	prior	prior	ADV
iajs-2435	44	7	[	[	X
iajs-2435	44	8	8	8	NUM
iajs-2435	44	9	]	]	PUNCT
iajs-2435	44	10	.	.	PUNCT
iajs-2435	45	1	let	let	VERB
iajs-2435	45	2	us	we	PRON
iajs-2435	45	3	assume	assume	VERB
iajs-2435	45	4	that	that	SCONJ
iajs-2435	45	5	λ	λ	PROPN
iajs-2435	45	6	has	have	VERB
iajs-2435	45	7	non	non	ADJ
iajs-2435	45	8	-	-	ADJ
iajs-2435	45	9	informative	informative	ADJ
iajs-2435	45	10	prior	prior	ADJ
iajs-2435	45	11	density	density	NOUN
iajs-2435	45	12	defined	define	VERB
iajs-2435	45	13	as	as	ADP
iajs-2435	45	14	using	use	VERB
iajs-2435	45	15	jeffreys	jeffreys	PROPN
iajs-2435	45	16	prior	prior	ADJ
iajs-2435	45	17	information	information	NOUN
iajs-2435	45	18	g	g	PROPN
iajs-2435	45	19	λ	λ	PROPN
iajs-2435	45	20	which	which	PRON
iajs-2435	45	21	given	give	VERB
iajs-2435	45	22	by	by	ADP
iajs-2435	45	23	:	:	PUNCT
iajs-2435	45	24	g	g	PROPN
iajs-2435	45	25	λ	λ	PROPN
iajs-2435	45	26	∝	∝	VERB
iajs-2435	46	1	i	i	PRON
iajs-2435	46	2	λ	λ	INTJ
iajs-2435	46	3	where	where	SCONJ
iajs-2435	46	4	i	i	PRON
iajs-2435	46	5	λ	λ	PROPN
iajs-2435	46	6	represented	represent	VERB
iajs-2435	46	7	fisher	fisher	PROPN
iajs-2435	46	8	information	information	NOUN
iajs-2435	46	9	which	which	PRON
iajs-2435	46	10	defined	define	VERB
iajs-2435	46	11	as	as	SCONJ
iajs-2435	46	12	follows	follow	VERB
iajs-2435	46	13	:	:	PUNCT
iajs-2435	46	14	i	i	PROPN
iajs-2435	46	15	λ	λ	X
iajs-2435	46	16	ne	ne	PROPN
iajs-2435	46	17	∂	∂	PROPN
iajs-2435	46	18	lnf	lnf	PROPN
iajs-2435	46	19	𝑡	𝑡	PROPN
iajs-2435	46	20	,	,	PUNCT
iajs-2435	46	21	λ	λ	PROPN
iajs-2435	46	22	∂λ	∂λ	PROPN
iajs-2435	46	23	hence	hence	ADV
iajs-2435	46	24	,	,	PUNCT
iajs-2435	46	25	g	g	PROPN
iajs-2435	46	26	λ	λ	PROPN
iajs-2435	46	27	k	k	PROPN
iajs-2435	46	28	ne	ne	PROPN
iajs-2435	46	29	∂	∂	PROPN
iajs-2435	46	30	lnf	lnf	PROPN
iajs-2435	46	31	t	t	PROPN
iajs-2435	46	32	;	;	PUNCT
iajs-2435	46	33	λ	λ	PROPN
iajs-2435	46	34	∂λ	∂λ	PROPN
iajs-2435	46	35	,	,	PUNCT
iajs-2435	46	36	k	k	PROPN
iajs-2435	46	37	is	be	AUX
iajs-2435	46	38	a	a	DET
iajs-2435	46	39	constant	constant	ADJ
iajs-2435	46	40	7	7	NUM
iajs-2435	46	41	lnf	lnf	PROPN
iajs-2435	46	42	𝑡	𝑡	PROPN
iajs-2435	46	43	,	,	PUNCT
iajs-2435	46	44	λ	λ	PROPN
iajs-2435	46	45	lnλ	lnλ	PROPN
iajs-2435	46	46	t	t	PROPN
iajs-2435	46	47	λ	λ	PROPN
iajs-2435	46	48	1	1	NUM
iajs-2435	46	49	e	e	X
iajs-2435	46	50	∂lnf	∂lnf	X
iajs-2435	46	51	∂λ	∂λ	PROPN
iajs-2435	46	52	1	1	NUM
iajs-2435	46	53	λ	λ	NOUN
iajs-2435	46	54	1	1	NUM
iajs-2435	46	55	e	e	NOUN
iajs-2435	46	56	∂	∂	NOUN
iajs-2435	46	57	lnf	lnf	PROPN
iajs-2435	46	58	∂λ	∂λ	PROPN
iajs-2435	46	59	1	1	NUM
iajs-2435	46	60	λ	λ	NOUN
iajs-2435	46	61	thus	thus	ADV
iajs-2435	46	62	,	,	PUNCT
iajs-2435	46	63	we	we	PRON
iajs-2435	46	64	get	get	VERB
iajs-2435	46	65	,	,	PUNCT
iajs-2435	46	66	e	e	X
iajs-2435	46	67	;	;	PUNCT
iajs-2435	46	68	after	after	ADP
iajs-2435	46	69	substitution	substitution	NOUN
iajs-2435	46	70	into	into	ADP
iajs-2435	46	71	eq	eq	NOUN
iajs-2435	46	72	.	.	PUNCT
iajs-2435	47	1	(	(	PUNCT
iajs-2435	47	2	7	7	X
iajs-2435	47	3	)	)	PUNCT
iajs-2435	47	4	yields	yield	NOUN
iajs-2435	47	5	,	,	PUNCT
iajs-2435	47	6	g	g	PROPN
iajs-2435	47	7	λ	λ	X
iajs-2435	47	8	k	k	PROPN
iajs-2435	47	9	λ	λ	X
iajs-2435	47	10	√n	√n	NOUN
iajs-2435	47	11	,	,	PUNCT
iajs-2435	47	12	λ	λ	PROPN
iajs-2435	47	13	0	0	NUM
iajs-2435	47	14	  	  	SPACE
iajs-2435	47	15	143	143	NUM
iajs-2435	47	16	  	  	SPACE
iajs-2435	47	17	ibn	ibn	PROPN
iajs-2435	47	18	al	al	PROPN
iajs-2435	47	19	-	-	PUNCT
iajs-2435	47	20	haitham	haitham	PROPN
iajs-2435	47	21	jour	jour	X
iajs-2435	47	22	.	.	PROPN
iajs-2435	48	1	for	for	ADP
iajs-2435	48	2	pure	pure	ADJ
iajs-2435	48	3	&	&	CCONJ
iajs-2435	48	4	appl	appl	PROPN
iajs-2435	48	5	.	.	PUNCT
iajs-2435	49	1	sci	sci	PROPN
iajs-2435	49	2	.	.	PROPN
iajs-2435	50	1	33	33	NUM
iajs-2435	50	2	(	(	PUNCT
iajs-2435	50	3	2	2	NUM
iajs-2435	50	4	)	)	PUNCT
iajs-2435	50	5	2020	2020	NUM
iajs-2435	50	6	then	then	ADV
iajs-2435	50	7	,	,	PUNCT
iajs-2435	50	8	the	the	DET
iajs-2435	50	9	posterior	posterior	ADJ
iajs-2435	50	10	density	density	NOUN
iajs-2435	50	11	function	function	NOUN
iajs-2435	50	12	based	base	VERB
iajs-2435	50	13	on	on	ADP
iajs-2435	50	14	jeffreys	jeffreys	PROPN
iajs-2435	50	15	prior	prior	ADV
iajs-2435	50	16	is	be	AUX
iajs-2435	50	17	:	:	PUNCT
iajs-2435	50	18	h	h	PROPN
iajs-2435	50	19	λ|t	λ|t	X
iajs-2435	50	20	,	,	PUNCT
iajs-2435	50	21	…	…	PUNCT
iajs-2435	50	22	,	,	PUNCT
iajs-2435	50	23	t	t	NOUN
iajs-2435	50	24	λ	λ	X
iajs-2435	50	25	e	e	X
iajs-2435	50	26	∑	∑	PUNCT
iajs-2435	50	27	λ	λ	X
iajs-2435	50	28	e	e	X
iajs-2435	50	29	∑	∑	PUNCT
iajs-2435	50	30	dλ	dλ	VERB
iajs-2435	50	31	p	p	NOUN
iajs-2435	50	32	λ	λ	X
iajs-2435	50	33	e	e	NOUN
iajs-2435	50	34	г	г	NOUN
iajs-2435	50	35	n	n	PROPN
iajs-2435	50	36	where	where	SCONJ
iajs-2435	50	37	p=	p=	ADJ
iajs-2435	50	38	∑	∑	PUNCT
iajs-2435	50	39	e	e	PROPN
iajs-2435	50	40	1	1	NUM
iajs-2435	50	41	the	the	DET
iajs-2435	50	42	posterior	posterior	ADJ
iajs-2435	50	43	density	density	NOUN
iajs-2435	50	44	is	be	AUX
iajs-2435	50	45	recognized	recognize	VERB
iajs-2435	50	46	as	as	ADP
iajs-2435	50	47	the	the	DET
iajs-2435	50	48	density	density	NOUN
iajs-2435	50	49	of	of	ADP
iajs-2435	50	50	the	the	DET
iajs-2435	50	51	gamma	gamma	NOUN
iajs-2435	50	52	distribution	distribution	NOUN
iajs-2435	50	53	,	,	PUNCT
iajs-2435	50	54	i.e.	i.e.	X
iajs-2435	50	55	λ|t	λ|t	X
iajs-2435	50	56	,	,	PUNCT
iajs-2435	50	57	…	…	PUNCT
iajs-2435	50	58	,	,	PUNCT
iajs-2435	50	59	t	t	NOUN
iajs-2435	50	60	~gamma	~gamma	NUM
iajs-2435	50	61	n	n	CCONJ
iajs-2435	50	62	,	,	PUNCT
iajs-2435	50	63	p	p	X
iajs-2435	50	64	,	,	PUNCT
iajs-2435	50	65	with	with	ADP
iajs-2435	50	66	[	[	X
iajs-2435	50	67	9	9	NUM
iajs-2435	50	68	]	]	SYM
iajs-2435	50	69	.	.	PUNCT
iajs-2435	51	1	3.3	3.3	NUM
iajs-2435	51	2	.	.	PUNCT
iajs-2435	52	1	bayes	bayes	PROPN
iajs-2435	52	2	estimation	estimation	NOUN
iajs-2435	52	3	under	under	ADP
iajs-2435	52	4	precautionary	precautionary	ADJ
iajs-2435	52	5	loss	loss	NOUN
iajs-2435	52	6	function	function	NOUN
iajs-2435	52	7	[	[	X
iajs-2435	52	8	10	10	NUM
iajs-2435	52	9	]	]	PUNCT
iajs-2435	52	10	.	.	PUNCT
iajs-2435	53	1	precautionary	precautionary	ADJ
iajs-2435	53	2	loss	loss	NOUN
iajs-2435	53	3	function	function	NOUN
iajs-2435	53	4	,	,	PUNCT
iajs-2435	53	5	which	which	PRON
iajs-2435	53	6	is	be	AUX
iajs-2435	53	7	proposed	propose	VERB
iajs-2435	53	8	by	by	ADP
iajs-2435	53	9	norstrom	norstrom	PROPN
iajs-2435	53	10	(	(	PUNCT
iajs-2435	53	11	1996	1996	NUM
iajs-2435	53	12	)	)	PUNCT
iajs-2435	53	13	,	,	PUNCT
iajs-2435	53	14	is	be	AUX
iajs-2435	53	15	one	one	NUM
iajs-2435	53	16	of	of	ADP
iajs-2435	53	17	asymmetric	asymmetric	ADJ
iajs-2435	53	18	loss	loss	NOUN
iajs-2435	53	19	function	function	NOUN
iajs-2435	53	20	,	,	PUNCT
iajs-2435	53	21	which	which	PRON
iajs-2435	53	22	can	can	AUX
iajs-2435	53	23	be	be	AUX
iajs-2435	53	24	defined	define	VERB
iajs-2435	53	25	as	as	SCONJ
iajs-2435	53	26	follows	follow	VERB
iajs-2435	53	27	[	[	X
iajs-2435	53	28	11	11	NUM
iajs-2435	53	29	]	]	PUNCT
iajs-2435	53	30	.	.	PUNCT
iajs-2435	54	1	l	l	PROPN
iajs-2435	54	2	λ	λ	PROPN
iajs-2435	54	3	,	,	PUNCT
iajs-2435	54	4	λ	λ	VERB
iajs-2435	54	5	the	the	DET
iajs-2435	54	6	precautionary	precautionary	ADJ
iajs-2435	54	7	loss	loss	NOUN
iajs-2435	54	8	function	function	NOUN
iajs-2435	54	9	approach	approach	NOUN
iajs-2435	54	10	infinitely	infinitely	ADV
iajs-2435	54	11	near	near	ADP
iajs-2435	54	12	the	the	DET
iajs-2435	54	13	origin	origin	NOUN
iajs-2435	54	14	to	to	PART
iajs-2435	54	15	prevent	prevent	VERB
iajs-2435	54	16	under	under	ADP
iajs-2435	54	17	estimation	estimation	NOUN
iajs-2435	54	18	,	,	PUNCT
iajs-2435	54	19	thus	thus	ADV
iajs-2435	54	20	giving	give	VERB
iajs-2435	54	21	conservative	conservative	ADJ
iajs-2435	54	22	estimators	estimator	NOUN
iajs-2435	54	23	,	,	PUNCT
iajs-2435	54	24	especially	especially	ADV
iajs-2435	54	25	when	when	SCONJ
iajs-2435	54	26	low	low	ADJ
iajs-2435	54	27	failure	failure	NOUN
iajs-2435	54	28	rates	rate	NOUN
iajs-2435	54	29	are	be	AUX
iajs-2435	54	30	being	be	AUX
iajs-2435	54	31	estimated	estimate	VERB
iajs-2435	54	32	.	.	PUNCT
iajs-2435	55	1	it	it	PRON
iajs-2435	55	2	is	be	AUX
iajs-2435	55	3	very	very	ADV
iajs-2435	55	4	useful	useful	ADJ
iajs-2435	55	5	when	when	SCONJ
iajs-2435	55	6	underestimation	underestimation	NOUN
iajs-2435	55	7	may	may	AUX
iajs-2435	55	8	lead	lead	VERB
iajs-2435	55	9	to	to	ADP
iajs-2435	55	10	serious	serious	ADJ
iajs-2435	55	11	consequences	consequence	NOUN
iajs-2435	55	12	.	.	PUNCT
iajs-2435	56	1	for	for	ADP
iajs-2435	56	2	instance	instance	NOUN
iajs-2435	56	3	,	,	PUNCT
iajs-2435	56	4	in	in	ADP
iajs-2435	56	5	the	the	DET
iajs-2435	56	6	case	case	NOUN
iajs-2435	56	7	of	of	ADP
iajs-2435	56	8	estimation	estimation	NOUN
iajs-2435	56	9	of	of	ADP
iajs-2435	56	10	a	a	DET
iajs-2435	56	11	financial	financial	ADJ
iajs-2435	56	12	charge	charge	NOUN
iajs-2435	56	13	or	or	CCONJ
iajs-2435	56	14	size	size	NOUN
iajs-2435	56	15	of	of	ADP
iajs-2435	56	16	an	an	DET
iajs-2435	56	17	order	order	NOUN
iajs-2435	56	18	,	,	PUNCT
iajs-2435	56	19	underestimation	underestimation	NOUN
iajs-2435	56	20	has	have	VERB
iajs-2435	56	21	much	much	ADV
iajs-2435	56	22	more	more	ADV
iajs-2435	56	23	serious	serious	ADJ
iajs-2435	56	24	consequences	consequence	NOUN
iajs-2435	56	25	.	.	PUNCT
iajs-2435	57	1	it	it	PRON
iajs-2435	57	2	can	can	AUX
iajs-2435	57	3	be	be	AUX
iajs-2435	57	4	deriving	derive	VERB
iajs-2435	57	5	risk	risk	NOUN
iajs-2435	57	6	function	function	NOUN
iajs-2435	57	7	and	and	CCONJ
iajs-2435	57	8	bayes	bayes	PROPN
iajs-2435	57	9	estimator	estimator	NOUN
iajs-2435	57	10	for	for	ADP
iajs-2435	57	11	the	the	DET
iajs-2435	57	12	parameter	parameter	NOUN
iajs-2435	57	13	λ	λ	PROPN
iajs-2435	57	14	in	in	ADP
iajs-2435	57	15	r	r	PROPN
iajs-2435	57	16	λ	λ	PROPN
iajs-2435	57	17	,	,	PUNCT
iajs-2435	57	18	λ	λ	PROPN
iajs-2435	57	19	and	and	CCONJ
iajs-2435	57	20	λ	λ	PROPN
iajs-2435	57	21	based	base	VERB
iajs-2435	57	22	on	on	ADP
iajs-2435	57	23	precautionary	precautionary	ADJ
iajs-2435	57	24	loss	loss	NOUN
iajs-2435	57	25	function	function	NOUN
iajs-2435	57	26	as	as	SCONJ
iajs-2435	57	27	follows	follow	VERB
iajs-2435	57	28	:	:	PUNCT
iajs-2435	57	29	r	r	NOUN
iajs-2435	57	30	λ	λ	PROPN
iajs-2435	57	31	,	,	PUNCT
iajs-2435	57	32	λ	λ	X
iajs-2435	57	33	e	e	NOUN
iajs-2435	57	34	l	l	NOUN
iajs-2435	57	35	λ	λ	PROPN
iajs-2435	57	36	,	,	PUNCT
iajs-2435	57	37	λ	λ	X
iajs-2435	57	38	r	r	NOUN
iajs-2435	57	39	λ	λ	PROPN
iajs-2435	57	40	,	,	PUNCT
iajs-2435	57	41	λ	λ	X
iajs-2435	57	42	l	l	NOUN
iajs-2435	57	43	λ	λ	PROPN
iajs-2435	57	44	,	,	PUNCT
iajs-2435	57	45	λ	λ	X
iajs-2435	58	1	h	h	NOUN
iajs-2435	58	2	λ	λ	NOUN
iajs-2435	58	3	x	x	VERB
iajs-2435	58	4	dλ	dλ	NOUN
iajs-2435	58	5	r	r	NOUN
iajs-2435	58	6	λ	λ	PROPN
iajs-2435	58	7	,	,	PUNCT
iajs-2435	58	8	λ	λ	X
iajs-2435	58	9	λ	λ	NOUN
iajs-2435	58	10	λ	λ	X
iajs-2435	58	11	λ	λ	X
iajs-2435	58	12	h	h	NOUN
iajs-2435	58	13	λ	λ	NOUN
iajs-2435	58	14	x	x	X
iajs-2435	58	15	dλ	dλ	NOUN
iajs-2435	58	16	λ	λ	X
iajs-2435	59	1	λ	λ	INTJ
iajs-2435	59	2	h	h	NOUN
iajs-2435	59	3	λ	λ	NOUN
iajs-2435	59	4	x	x	NOUN
iajs-2435	59	5	dλ	dλ	NOUN
iajs-2435	59	6	2	2	NUM
iajs-2435	59	7	λ	λ	NOUN
iajs-2435	59	8	h	h	NOUN
iajs-2435	59	9	λ	λ	NOUN
iajs-2435	59	10	x	x	VERB
iajs-2435	59	11	dλ	dλ	NOUN
iajs-2435	60	1	λ	λ	X
iajs-2435	60	2	h	h	NOUN
iajs-2435	60	3	λ	λ	NOUN
iajs-2435	60	4	x	x	VERB
iajs-2435	60	5	dλ	dλ	NOUN
iajs-2435	60	6	r	r	NOUN
iajs-2435	60	7	λ	λ	PROPN
iajs-2435	60	8	,	,	PUNCT
iajs-2435	60	9	λ	λ	X
iajs-2435	60	10	e	e	NOUN
iajs-2435	60	11	λ	λ	X
iajs-2435	60	12	x	x	SYM
iajs-2435	60	13	λ	λ	X
iajs-2435	60	14	2e	2e	NOUN
iajs-2435	60	15	λ	λ	X
iajs-2435	60	16	x	x	X
iajs-2435	60	17	λ	λ	X
iajs-2435	60	18	taking	take	VERB
iajs-2435	60	19	the	the	DET
iajs-2435	60	20	partial	partial	ADJ
iajs-2435	60	21	derivative	derivative	NOUN
iajs-2435	60	22	for	for	ADP
iajs-2435	60	23	r	r	PROPN
iajs-2435	60	24	λ	λ	PROPN
iajs-2435	60	25	,	,	PUNCT
iajs-2435	60	26	λ	λ	X
iajs-2435	60	27	with	with	ADP
iajs-2435	60	28	respect	respect	NOUN
iajs-2435	60	29	to	to	ADP
iajs-2435	60	30	λ	λ	PROPN
iajs-2435	60	31	and	and	CCONJ
iajs-2435	60	32	setting	set	VERB
iajs-2435	60	33	it	it	PRON
iajs-2435	60	34	equal	equal	ADJ
iajs-2435	60	35	to	to	ADP
iajs-2435	60	36	zero	zero	NUM
iajs-2435	60	37	,	,	PUNCT
iajs-2435	60	38	gives	give	VERB
iajs-2435	60	39	:	:	PUNCT
iajs-2435	60	40	λ	λ	X
iajs-2435	60	41	e	e	NOUN
iajs-2435	60	42	λ	λ	X
iajs-2435	60	43	x	x	X
iajs-2435	60	44	λ	λ	NOUN
iajs-2435	60	45	h	h	NOUN
iajs-2435	60	46	λ	λ	X
iajs-2435	60	47	x	x	X
iajs-2435	60	48	dλ	dλ	NOUN
iajs-2435	60	49	e	e	NOUN
iajs-2435	60	50	λ	λ	X
iajs-2435	60	51	x	x	PROPN
iajs-2435	60	52	8	8	NUM
iajs-2435	60	53	  	  	SPACE
iajs-2435	60	54	144	144	NUM
iajs-2435	60	55	  	  	SPACE
iajs-2435	60	56	ibn	ibn	PROPN
iajs-2435	60	57	al	al	PROPN
iajs-2435	60	58	-	-	PUNCT
iajs-2435	60	59	haitham	haitham	PROPN
iajs-2435	60	60	jour	jour	X
iajs-2435	60	61	.	.	PROPN
iajs-2435	61	1	for	for	ADP
iajs-2435	61	2	pure	pure	ADJ
iajs-2435	61	3	&	&	CCONJ
iajs-2435	61	4	appl	appl	PROPN
iajs-2435	61	5	.	.	PUNCT
iajs-2435	62	1	sci	sci	PROPN
iajs-2435	62	2	.	.	PROPN
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iajs-2435	63	2	(	(	PUNCT
iajs-2435	63	3	2	2	NUM
iajs-2435	63	4	)	)	PUNCT
iajs-2435	63	5	2020	2020	NUM
iajs-2435	64	1	3.3.1	3.3.1	NUM
iajs-2435	64	2	.	.	PUNCT
iajs-2435	64	3	bayes	bayes	PROPN
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iajs-2435	64	5	under	under	ADP
iajs-2435	64	6	precautionary	precautionary	ADJ
iajs-2435	64	7	loss	loss	NOUN
iajs-2435	64	8	function	function	NOUN
iajs-2435	64	9	with	with	ADP
iajs-2435	64	10	gamma	gamma	PROPN
iajs-2435	64	11	prior	prior	ADJ
iajs-2435	64	12	bayes	bayes	PROPN
iajs-2435	64	13	estimator	estimator	NOUN
iajs-2435	64	14	relative	relative	ADJ
iajs-2435	64	15	to	to	ADP
iajs-2435	64	16	precautionary	precautionary	ADJ
iajs-2435	64	17	loss	loss	NOUN
iajs-2435	64	18	function	function	NOUN
iajs-2435	64	19	based	base	VERB
iajs-2435	64	20	on	on	ADP
iajs-2435	64	21	gamma	gamma	PROPN
iajs-2435	64	22	prior	prior	ADV
iajs-2435	64	23	,	,	PUNCT
iajs-2435	64	24	can	can	AUX
iajs-2435	64	25	be	be	AUX
iajs-2435	64	26	derived	derive	VERB
iajs-2435	64	27	as	as	SCONJ
iajs-2435	64	28	follows	follow	VERB
iajs-2435	64	29	:	:	PUNCT
iajs-2435	64	30	e	e	X
iajs-2435	64	31	λ	λ	X
iajs-2435	64	32	x	x	X
iajs-2435	64	33	λ	λ	X
iajs-2435	64	34	г	г	PROPN
iajs-2435	64	35	λ	λ	X
iajs-2435	64	36	e	e	X
iajs-2435	64	37	d	d	X
iajs-2435	64	38	λ	λ	X
iajs-2435	64	39	β	β	X
iajs-2435	64	40	t	t	PROPN
iajs-2435	64	41	г	г	PROPN
iajs-2435	64	42	n	n	ADV
iajs-2435	64	43	α	α	NOUN
iajs-2435	64	44	2	2	NUM
iajs-2435	64	45	г	г	NOUN
iajs-2435	64	46	n	n	ADV
iajs-2435	64	47	α	α	NOUN
iajs-2435	64	48	β	β	X
iajs-2435	64	49	t	t	PROPN
iajs-2435	64	50	β	β	X
iajs-2435	64	51	t	t	PROPN
iajs-2435	64	52	г	г	PROPN
iajs-2435	64	53	n	n	ADV
iajs-2435	64	54	α	α	PRON
iajs-2435	64	55	2	2	NUM
iajs-2435	64	56	λ	λ	X
iajs-2435	64	57	e	e	NOUN
iajs-2435	64	58	d	d	X
iajs-2435	64	59	λ	λ	X
iajs-2435	64	60	e	e	X
iajs-2435	64	61	λ	λ	X
iajs-2435	64	62	x	x	PUNCT
iajs-2435	64	63	thus	thus	ADV
iajs-2435	64	64	,	,	PUNCT
iajs-2435	64	65	bayesian	bayesian	NOUN
iajs-2435	64	66	estimation	estimation	NOUN
iajs-2435	64	67	for	for	ADP
iajs-2435	64	68	the	the	DET
iajs-2435	64	69	shape	shape	NOUN
iajs-2435	64	70	parameter	parameter	NOUN
iajs-2435	64	71	of	of	ADP
iajs-2435	64	72	basic	basic	ADJ
iajs-2435	64	73	gompartz	gompartz	NOUN
iajs-2435	64	74	distribution	distribution	NOUN
iajs-2435	64	75	under	under	ADP
iajs-2435	64	76	precautionary	precautionary	ADJ
iajs-2435	64	77	loss	loss	NOUN
iajs-2435	64	78	function	function	NOUN
iajs-2435	64	79	with	with	ADP
iajs-2435	64	80	gamma	gamma	PROPN
iajs-2435	64	81	prior	prior	ADV
iajs-2435	64	82	,	,	PUNCT
iajs-2435	64	83	denoted	denote	VERB
iajs-2435	64	84	by	by	ADP
iajs-2435	64	85	λ	λ	PROPN
iajs-2435	64	86	is	be	AUX
iajs-2435	64	87	λ	λ	PROPN
iajs-2435	64	88	α	α	NOUN
iajs-2435	64	89	n	n	ADV
iajs-2435	64	90	α	α	NOUN
iajs-2435	64	91	n	n	PROPN
iajs-2435	64	92	1	1	NUM
iajs-2435	64	93	β	β	NOUN
iajs-2435	64	94	t	t	NOUN
iajs-2435	64	95	9	9	NUM
iajs-2435	64	96	now	now	ADV
iajs-2435	64	97	,	,	PUNCT
iajs-2435	64	98	bayesian	bayesian	NOUN
iajs-2435	64	99	estimation	estimation	NOUN
iajs-2435	64	100	for	for	ADP
iajs-2435	64	101	reliability	reliability	NOUN
iajs-2435	64	102	function	function	NOUN
iajs-2435	64	103	under	under	ADP
iajs-2435	64	104	precautionary	precautionary	ADJ
iajs-2435	64	105	loss	loss	NOUN
iajs-2435	64	106	function	function	NOUN
iajs-2435	64	107	can	can	AUX
iajs-2435	64	108	be	be	AUX
iajs-2435	64	109	obtained	obtain	VERB
iajs-2435	64	110	using	use	VERB
iajs-2435	64	111	eq	eq	ADP
iajs-2435	64	112	.	.	PROPN
iajs-2435	64	113	8	8	NUM
iajs-2435	64	114	,	,	PUNCT
iajs-2435	64	115	as	as	SCONJ
iajs-2435	64	116	follows	follow	VERB
iajs-2435	64	117	r	r	NOUN
iajs-2435	64	118	t	t	NOUN
iajs-2435	64	119	e	e	NOUN
iajs-2435	64	120	r	r	NOUN
iajs-2435	64	121	t	t	PROPN
iajs-2435	64	122	t	t	PROPN
iajs-2435	65	1	10	10	NUM
iajs-2435	65	2	e	e	NOUN
iajs-2435	65	3	r	r	NOUN
iajs-2435	65	4	t	t	NOUN
iajs-2435	65	5	t	t	X
iajs-2435	65	6	e	e	PROPN
iajs-2435	65	7	β	β	PROPN
iajs-2435	65	8	t	t	PROPN
iajs-2435	65	9	г	г	PROPN
iajs-2435	65	10	n	n	ADV
iajs-2435	65	11	α	α	NOUN
iajs-2435	65	12	λ	λ	X
iajs-2435	65	13	e	e	X
iajs-2435	65	14	d	d	X
iajs-2435	65	15	λ	λ	X
iajs-2435	65	16	β	β	X
iajs-2435	65	17	t	t	X
iajs-2435	65	18	β	β	X
iajs-2435	65	19	t	t	PROPN
iajs-2435	65	20	2	2	NUM
iajs-2435	65	21	1	1	NUM
iajs-2435	65	22	e	e	NOUN
iajs-2435	65	23	β	β	X
iajs-2435	65	24	t	t	PROPN
iajs-2435	65	25	2	2	NUM
iajs-2435	65	26	1	1	NUM
iajs-2435	65	27	e	e	NOUN
iajs-2435	65	28	г	г	PROPN
iajs-2435	65	29	n	n	ADV
iajs-2435	65	30	α	α	NOUN
iajs-2435	65	31	λ	λ	X
iajs-2435	65	32	e	e	NOUN
iajs-2435	65	33	dλ	dλ	NOUN
iajs-2435	65	34	e	e	PROPN
iajs-2435	65	35	r	r	NOUN
iajs-2435	65	36	t	t	PROPN
iajs-2435	65	37	t	t	PROPN
iajs-2435	65	38	β	β	X
iajs-2435	65	39	t	t	PROPN
iajs-2435	65	40	β	β	X
iajs-2435	65	41	t	t	PROPN
iajs-2435	65	42	2	2	NUM
iajs-2435	65	43	1	1	NUM
iajs-2435	65	44	e	e	NOUN
iajs-2435	65	45	11	11	NUM
iajs-2435	65	46	combining	combine	VERB
iajs-2435	65	47	equations	equation	NOUN
iajs-2435	65	48	(	(	PUNCT
iajs-2435	65	49	10	10	NUM
iajs-2435	65	50	)	)	PUNCT
iajs-2435	65	51	and	and	CCONJ
iajs-2435	65	52	(	(	PUNCT
iajs-2435	65	53	11	11	NUM
iajs-2435	65	54	)	)	PUNCT
iajs-2435	65	55	gives	give	VERB
iajs-2435	65	56	r	r	NOUN
iajs-2435	65	57	t	t	NOUN
iajs-2435	65	58	3.3.2	3.3.2	NUM
iajs-2435	65	59	.	.	PUNCT
iajs-2435	66	1	bayes	bayes	PROPN
iajs-2435	66	2	estimation	estimation	NOUN
iajs-2435	66	3	under	under	ADP
iajs-2435	66	4	precautionary	precautionary	ADJ
iajs-2435	66	5	loss	loss	NOUN
iajs-2435	66	6	function	function	NOUN
iajs-2435	66	7	with	with	ADP
iajs-2435	66	8	jefferys	jefferys	NOUN
iajs-2435	66	9	prior	prior	ADV
iajs-2435	66	10	the	the	DET
iajs-2435	66	11	bayes	bayes	PROPN
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iajs-2435	66	13	for	for	ADP
iajs-2435	66	14	the	the	DET
iajs-2435	66	15	shape	shape	NOUN
iajs-2435	66	16	parameter	parameter	NOUN
iajs-2435	66	17	λ	λ	PROPN
iajs-2435	66	18	under	under	ADP
iajs-2435	66	19	jefferys	jefferys	NOUN
iajs-2435	66	20	prior	prior	ADV
iajs-2435	66	21	can	can	AUX
iajs-2435	66	22	be	be	AUX
iajs-2435	66	23	obtained	obtain	VERB
iajs-2435	66	24	using	use	VERB
iajs-2435	66	25	equation	equation	NOUN
iajs-2435	66	26	(	(	PUNCT
iajs-2435	66	27	8)	8)	NUM
iajs-2435	66	28	as	as	SCONJ
iajs-2435	66	29	follows	follow	VERB
iajs-2435	66	30	:	:	PUNCT
iajs-2435	66	31	e	e	X
iajs-2435	66	32	λ	λ	X
iajs-2435	66	33	x	x	X
iajs-2435	66	34	λ	λ	X
iajs-2435	66	35	p	p	NOUN
iajs-2435	66	36	г	г	PROPN
iajs-2435	66	37	n	n	ADV
iajs-2435	66	38	λ	λ	X
iajs-2435	66	39	e	e	X
iajs-2435	66	40	dλ	dλ	NOUN
iajs-2435	66	41	p	p	PROPN
iajs-2435	66	42	г	г	PROPN
iajs-2435	66	43	n	n	ADV
iajs-2435	66	44	2	2	NUM
iajs-2435	66	45	г	г	PROPN
iajs-2435	66	46	n	n	PRON
iajs-2435	66	47	p	p	NOUN
iajs-2435	66	48	p	p	X
iajs-2435	66	49	г	г	PROPN
iajs-2435	66	50	n	n	ADV
iajs-2435	66	51	2	2	NUM
iajs-2435	66	52	λ	λ	NOUN
iajs-2435	66	53	e	e	NOUN
iajs-2435	66	54	dλ	dλ	NOUN
iajs-2435	66	55	therefore	therefore	ADV
iajs-2435	66	56	,	,	PUNCT
iajs-2435	66	57	e	e	PROPN
iajs-2435	66	58	λ	λ	PROPN
iajs-2435	66	59	x	x	VERB
iajs-2435	66	60	  	  	SPACE
iajs-2435	66	61	145	145	NUM
iajs-2435	66	62	  	  	SPACE
iajs-2435	66	63	ibn	ibn	PROPN
iajs-2435	66	64	al	al	PROPN
iajs-2435	66	65	-	-	PUNCT
iajs-2435	66	66	haitham	haitham	PROPN
iajs-2435	66	67	jour	jour	X
iajs-2435	66	68	.	.	PROPN
iajs-2435	67	1	for	for	ADP
iajs-2435	67	2	pure	pure	ADJ
iajs-2435	67	3	&	&	CCONJ
iajs-2435	67	4	appl	appl	PROPN
iajs-2435	67	5	.	.	PUNCT
iajs-2435	68	1	sci	sci	PROPN
iajs-2435	68	2	.	.	PROPN
iajs-2435	69	1	33	33	NUM
iajs-2435	69	2	(	(	PUNCT
iajs-2435	69	3	2	2	NUM
iajs-2435	69	4	)	)	PUNCT
iajs-2435	69	5	2020	2020	NUM
iajs-2435	70	1	λ	λ	NOUN
iajs-2435	70	2	n	n	CCONJ
iajs-2435	70	3	n	n	NOUN
iajs-2435	70	4	1	1	NUM
iajs-2435	70	5	p	p	NOUN
iajs-2435	70	6	similarly	similarly	ADV
iajs-2435	70	7	,	,	PUNCT
iajs-2435	70	8	we	we	PRON
iajs-2435	70	9	can	can	AUX
iajs-2435	70	10	find	find	VERB
iajs-2435	70	11	the	the	DET
iajs-2435	70	12	estimator	estimator	NOUN
iajs-2435	70	13	for	for	ADP
iajs-2435	70	14	reliability	reliability	NOUN
iajs-2435	70	15	function	function	NOUN
iajs-2435	70	16	under	under	ADP
iajs-2435	70	17	precautionary	precautionary	ADJ
iajs-2435	70	18	loss	loss	NOUN
iajs-2435	70	19	function	function	NOUN
iajs-2435	70	20	,	,	PUNCT
iajs-2435	70	21	by	by	ADP
iajs-2435	70	22	using	use	VERB
iajs-2435	70	23	eq	eq	ADP
iajs-2435	70	24	.	.	PROPN
iajs-2435	70	25	8	8	NUM
iajs-2435	70	26	,	,	PUNCT
iajs-2435	70	27	where	where	SCONJ
iajs-2435	70	28	:	:	PUNCT
iajs-2435	70	29	r	r	NOUN
iajs-2435	70	30	λ	λ	X
iajs-2435	70	31	e	e	X
iajs-2435	70	32	r	r	NOUN
iajs-2435	70	33	|t	|t	PROPN
iajs-2435	70	34	12	12	NUM
iajs-2435	70	35	e	e	NOUN
iajs-2435	70	36	r	r	NOUN
iajs-2435	70	37	t	t	NOUN
iajs-2435	70	38	t	t	NOUN
iajs-2435	70	39	r	r	NOUN
iajs-2435	70	40	h	h	NOUN
iajs-2435	71	1	λ	λ	X
iajs-2435	71	2	t	t	NOUN
iajs-2435	71	3	d	d	X
iajs-2435	71	4	λ	λ	PROPN
iajs-2435	71	5	substituting	substitute	VERB
iajs-2435	71	6	r(t	r(t	NOUN
iajs-2435	71	7	)	)	PUNCT
iajs-2435	71	8	into	into	ADP
iajs-2435	71	9	eq	eq	NOUN
iajs-2435	71	10	.	.	PUNCT
iajs-2435	72	1	(	(	PUNCT
iajs-2435	72	2	12	12	NUM
iajs-2435	72	3	)	)	PUNCT
iajs-2435	72	4	,	,	PUNCT
iajs-2435	72	5	gives	give	VERB
iajs-2435	72	6	:	:	PUNCT
iajs-2435	72	7	e	e	PROPN
iajs-2435	72	8	r	r	NOUN
iajs-2435	72	9	t	t	NOUN
iajs-2435	72	10	t	t	NOUN
iajs-2435	72	11	e	e	NOUN
iajs-2435	72	12	p	p	PROPN
iajs-2435	72	13	г	г	PROPN
iajs-2435	72	14	n	n	ADV
iajs-2435	72	15	λ	λ	X
iajs-2435	72	16	e	e	X
iajs-2435	72	17	d	d	X
iajs-2435	72	18	λ	λ	X
iajs-2435	72	19	p	p	X
iajs-2435	72	20	г	г	PROPN
iajs-2435	72	21	n	n	ADV
iajs-2435	72	22	λ	λ	X
iajs-2435	72	23	e	e	NOUN
iajs-2435	72	24	dλ	dλ	NOUN
iajs-2435	72	25	e	e	PROPN
iajs-2435	72	26	r	r	NOUN
iajs-2435	72	27	t	t	PROPN
iajs-2435	72	28	|t	|t	VERB
iajs-2435	73	1	p	p	NOUN
iajs-2435	73	2	p	p	VERB
iajs-2435	73	3	2	2	NUM
iajs-2435	73	4	1	1	NUM
iajs-2435	73	5	e	e	NOUN
iajs-2435	73	6	13	13	NUM
iajs-2435	73	7	combining	combine	VERB
iajs-2435	73	8	eq	eq	NOUN
iajs-2435	73	9	.	.	PUNCT
iajs-2435	74	1	(	(	PUNCT
iajs-2435	74	2	12	12	NUM
iajs-2435	74	3	)	)	PUNCT
iajs-2435	74	4	with	with	ADP
iajs-2435	74	5	eq.(13	eq.(13	NOUN
iajs-2435	74	6	)	)	PUNCT
iajs-2435	74	7	gives	give	VERB
iajs-2435	74	8	,	,	PUNCT
iajs-2435	75	1	r	r	NOUN
iajs-2435	75	2	t	t	NOUN
iajs-2435	76	1	p	p	X
iajs-2435	76	2	p	p	X
iajs-2435	76	3	2	2	NUM
iajs-2435	76	4	1	1	NUM
iajs-2435	76	5	e	e	NOUN
iajs-2435	76	6	4	4	NUM
iajs-2435	76	7	.	.	PUNCT
iajs-2435	76	8	simulation	simulation	NOUN
iajs-2435	76	9	study	study	NOUN
iajs-2435	76	10	in	in	ADP
iajs-2435	76	11	this	this	DET
iajs-2435	76	12	section	section	NOUN
iajs-2435	76	13	,	,	PUNCT
iajs-2435	76	14	a	a	DET
iajs-2435	76	15	monte	monte	PROPN
iajs-2435	76	16	carlo	carlo	PROPN
iajs-2435	76	17	simulation	simulation	PROPN
iajs-2435	76	18	has	have	AUX
iajs-2435	76	19	been	be	AUX
iajs-2435	76	20	done	do	VERB
iajs-2435	76	21	to	to	PART
iajs-2435	76	22	compare	compare	VERB
iajs-2435	76	23	the	the	DET
iajs-2435	76	24	performance	performance	NOUN
iajs-2435	76	25	of	of	ADP
iajs-2435	76	26	the	the	DET
iajs-2435	76	27	different	different	ADJ
iajs-2435	76	28	estimators	estimator	NOUN
iajs-2435	76	29	of	of	ADP
iajs-2435	76	30	the	the	DET
iajs-2435	76	31	unknown	unknown	ADJ
iajs-2435	76	32	shape	shape	NOUN
iajs-2435	76	33	parameter	parameter	NOUN
iajs-2435	76	34	for	for	ADP
iajs-2435	76	35	basic	basic	ADJ
iajs-2435	76	36	gompertz	gompertz	NOUN
iajs-2435	76	37	distribution	distribution	NOUN
iajs-2435	76	38	(	(	PUNCT
iajs-2435	76	39	λ	λ	NOUN
iajs-2435	76	40	)	)	PUNCT
iajs-2435	76	41	.	.	PUNCT
iajs-2435	77	1	the	the	DET
iajs-2435	77	2	process	process	NOUN
iajs-2435	77	3	(	(	PUNCT
iajs-2435	77	4	l	l	NOUN
iajs-2435	77	5	)	)	PUNCT
iajs-2435	77	6	have	have	AUX
iajs-2435	77	7	been	be	AUX
iajs-2435	77	8	repeated	repeat	VERB
iajs-2435	77	9	5000	5000	NUM
iajs-2435	77	10	times	time	NOUN
iajs-2435	77	11	with	with	ADP
iajs-2435	77	12	different	different	ADJ
iajs-2435	77	13	sample	sample	NOUN
iajs-2435	77	14	sizes	size	NOUN
iajs-2435	77	15	,	,	PUNCT
iajs-2435	77	16	n	n	NOUN
iajs-2435	77	17	=	=	SYM
iajs-2435	77	18	15	15	NUM
iajs-2435	77	19	,	,	PUNCT
iajs-2435	77	20	50	50	NUM
iajs-2435	77	21	,	,	PUNCT
iajs-2435	77	22	and100	and100	PROPN
iajs-2435	77	23	.	.	PUNCT
iajs-2435	78	1	the	the	DET
iajs-2435	78	2	values	value	NOUN
iajs-2435	78	3	of	of	ADP
iajs-2435	78	4	shape	shape	NOUN
iajs-2435	78	5	parameter	parameter	NOUN
iajs-2435	78	6	λ	λ	PROPN
iajs-2435	78	7	are	be	AUX
iajs-2435	78	8	chosen	choose	VERB
iajs-2435	78	9	as	as	ADP
iajs-2435	78	10	λ=	λ=	NOUN
iajs-2435	78	11	0.5	0.5	NUM
iajs-2435	78	12	and	and	CCONJ
iajs-2435	78	13	3	3	NUM
iajs-2435	78	14	.	.	X
iajs-2435	78	15	bayes	bayes	PROPN
iajs-2435	78	16	estimates	estimate	NOUN
iajs-2435	78	17	have	have	AUX
iajs-2435	78	18	been	be	AUX
iajs-2435	78	19	generated	generate	VERB
iajs-2435	78	20	with	with	ADP
iajs-2435	78	21	considering	consider	VERB
iajs-2435	78	22	two	two	NUM
iajs-2435	78	23	different	different	ADJ
iajs-2435	78	24	values	value	NOUN
iajs-2435	78	25	for	for	ADP
iajs-2435	78	26	the	the	DET
iajs-2435	78	27	parameters	parameter	NOUN
iajs-2435	78	28	of	of	ADP
iajs-2435	78	29	gamma	gamma	PROPN
iajs-2435	78	30	prior	prior	ADV
iajs-2435	78	31	,	,	PUNCT
iajs-2435	78	32	α	α	PROPN
iajs-2435	78	33	and	and	CCONJ
iajs-2435	78	34	β	β	PROPN
iajs-2435	78	35	as	as	ADP
iajs-2435	78	36	α=0.8	α=0.8	PRON
iajs-2435	78	37	and	and	CCONJ
iajs-2435	78	38	3	3	NUM
iajs-2435	78	39	,	,	PUNCT
iajs-2435	78	40	β=0.5	β=0.5	NOUN
iajs-2435	78	41	and	and	CCONJ
iajs-2435	78	42	3	3	NUM
iajs-2435	78	43	.	.	X
iajs-2435	79	1	all	all	DET
iajs-2435	79	2	estimators	estimator	NOUN
iajs-2435	79	3	that	that	PRON
iajs-2435	79	4	derived	derive	VERB
iajs-2435	79	5	in	in	ADP
iajs-2435	79	6	the	the	DET
iajs-2435	79	7	previous	previous	ADJ
iajs-2435	79	8	section	section	NOUN
iajs-2435	79	9	are	be	AUX
iajs-2435	79	10	evaluated	evaluate	VERB
iajs-2435	79	11	based	base	VERB
iajs-2435	79	12	on	on	ADP
iajs-2435	79	13	their	their	PRON
iajs-2435	79	14	mean	mean	ADJ
iajs-2435	79	15	squared	square	VERB
iajs-2435	79	16	errors	error	NOUN
iajs-2435	79	17	(	(	PUNCT
iajs-2435	79	18	mse	mse	NOUN
iajs-2435	79	19	's	's	PART
iajs-2435	79	20	)	)	PUNCT
iajs-2435	79	21	,	,	PUNCT
iajs-2435	79	22	where	where	SCONJ
iajs-2435	79	23	,	,	PUNCT
iajs-2435	79	24	mse	mse	PROPN
iajs-2435	79	25	λ	λ	PROPN
iajs-2435	79	26	∑	∑	PROPN
iajs-2435	79	27	;	;	PUNCT
iajs-2435	79	28	i	i	PRON
iajs-2435	79	29	1,2,3,	1,2,3,	NUM
iajs-2435	79	30	…	…	SYM
iajs-2435	79	31	.l	.l	PROPN
iajs-2435	79	32	mse	mse	PROPN
iajs-2435	79	33	λ	λ	PROPN
iajs-2435	79	34	∑	∑	PROPN
iajs-2435	79	35	∑	∑	PROPN
iajs-2435	79	36	(	(	PUNCT
iajs-2435	79	37	14	14	NUM
iajs-2435	79	38	)	)	PUNCT
iajs-2435	79	39	substituting	substitute	VERB
iajs-2435	79	40	λ	λ	PROPN
iajs-2435	79	41	under	under	ADP
iajs-2435	79	42	precautionary	precautionary	ADJ
iajs-2435	79	43	loss	loss	NOUN
iajs-2435	79	44	function	function	NOUN
iajs-2435	79	45	with	with	ADP
iajs-2435	79	46	gamma	gamma	PROPN
iajs-2435	79	47	prior	prior	ADV
iajs-2435	79	48	that	that	SCONJ
iajs-2435	79	49	defined	define	VERB
iajs-2435	79	50	in	in	ADP
iajs-2435	79	51	eq	eq	ADP
iajs-2435	79	52	.	.	PUNCT
iajs-2435	80	1	(	(	PUNCT
iajs-2435	80	2	9	9	NUM
iajs-2435	80	3	)	)	PUNCT
iajs-2435	80	4	into	into	ADP
iajs-2435	80	5	eq	eq	NOUN
iajs-2435	80	6	.	.	PUNCT
iajs-2435	81	1	(	(	PUNCT
iajs-2435	81	2	14	14	NUM
iajs-2435	81	3	)	)	PUNCT
iajs-2435	81	4	,	,	PUNCT
iajs-2435	81	5	gives	give	VERB
iajs-2435	81	6	:	:	PUNCT
iajs-2435	81	7	mse	mse	PROPN
iajs-2435	81	8	λ	λ	PROPN
iajs-2435	81	9	∑	∑	PROPN
iajs-2435	81	10	∑	∑	PROPN
iajs-2435	81	11	(	(	PUNCT
iajs-2435	81	12	15	15	NUM
iajs-2435	81	13	)	)	PUNCT
iajs-2435	81	14	  	  	SPACE
iajs-2435	81	15	146	146	NUM
iajs-2435	81	16	  	  	SPACE
iajs-2435	81	17	ibn	ibn	PROPN
iajs-2435	81	18	al	al	PROPN
iajs-2435	81	19	-	-	PUNCT
iajs-2435	81	20	haitham	haitham	PROPN
iajs-2435	81	21	jour	jour	X
iajs-2435	81	22	.	.	PROPN
iajs-2435	82	1	for	for	ADP
iajs-2435	82	2	pure	pure	ADJ
iajs-2435	82	3	&	&	CCONJ
iajs-2435	82	4	appl	appl	PROPN
iajs-2435	82	5	.	.	PUNCT
iajs-2435	83	1	sci	sci	PROPN
iajs-2435	83	2	.	.	PROPN
iajs-2435	84	1	33	33	NUM
iajs-2435	84	2	(	(	PUNCT
iajs-2435	84	3	2	2	NUM
iajs-2435	84	4	)	)	PUNCT
iajs-2435	84	5	2020	2020	NUM
iajs-2435	85	1	to	to	PART
iajs-2435	85	2	compare	compare	VERB
iajs-2435	85	3	the	the	DET
iajs-2435	85	4	performance	performance	NOUN
iajs-2435	85	5	of	of	ADP
iajs-2435	85	6	the	the	DET
iajs-2435	85	7	bayesian	bayesian	NOUN
iajs-2435	85	8	estimators	estimator	NOUN
iajs-2435	85	9	for	for	ADP
iajs-2435	85	10	r(t	r(t	NOUN
iajs-2435	85	11	)	)	PUNCT
iajs-2435	85	12	the	the	DET
iajs-2435	85	13	integrated	integrate	VERB
iajs-2435	85	14	mean	mean	NOUN
iajs-2435	85	15	squared	square	VERB
iajs-2435	85	16	error	error	NOUN
iajs-2435	85	17	(	(	PUNCT
iajs-2435	85	18	imse	imse	NOUN
iajs-2435	85	19	)	)	PUNCT
iajs-2435	85	20	has	have	AUX
iajs-2435	85	21	been	be	AUX
iajs-2435	85	22	employed	employ	VERB
iajs-2435	85	23	because	because	SCONJ
iajs-2435	85	24	it	it	PRON
iajs-2435	85	25	is	be	AUX
iajs-2435	85	26	more	more	ADV
iajs-2435	85	27	accurate	accurate	ADJ
iajs-2435	85	28	than	than	ADP
iajs-2435	85	29	mse	mse	NOUN
iajs-2435	86	1	.	.	PUNCT
iajs-2435	87	1	imse	imse	PROPN
iajs-2435	87	2	is	be	AUX
iajs-2435	87	3	defined	define	VERB
iajs-2435	87	4	as	as	ADP
iajs-2435	87	5	distance	distance	NOUN
iajs-2435	87	6	between	between	ADP
iajs-2435	87	7	the	the	DET
iajs-2435	87	8	estimate	estimate	NOUN
iajs-2435	87	9	value	value	NOUN
iajs-2435	87	10	of	of	ADP
iajs-2435	87	11	the	the	DET
iajs-2435	87	12	reliability	reliability	NOUN
iajs-2435	87	13	function	function	NOUN
iajs-2435	87	14	and	and	CCONJ
iajs-2435	87	15	actual	actual	ADJ
iajs-2435	87	16	value	value	NOUN
iajs-2435	87	17	of	of	ADP
iajs-2435	87	18	reliability	reliability	NOUN
iajs-2435	87	19	function	function	NOUN
iajs-2435	87	20	which	which	PRON
iajs-2435	87	21	is	be	AUX
iajs-2435	87	22	given	give	VERB
iajs-2435	87	23	by	by	ADP
iajs-2435	87	24	imse(r̂(t	imse(r̂(t	NOUN
iajs-2435	87	25	)	)	PUNCT
iajs-2435	87	26	)	)	PUNCT
iajs-2435	88	1	=	=	PUNCT
iajs-2435	88	2	∑	∑	PUNCT
iajs-2435	88	3	[	[	PUNCT
iajs-2435	88	4	∑	∑	PUNCT
iajs-2435	88	5	r	r	NOUN
iajs-2435	88	6	t	t	NOUN
iajs-2435	88	7	r	r	NOUN
iajs-2435	88	8	t	t	PROPN
iajs-2435	88	9	imse(r̂(t))=	imse(r̂(t))=	PROPN
iajs-2435	88	10	∑	∑	PUNCT
iajs-2435	88	11	mse	mse	PROPN
iajs-2435	88	12	r	r	NOUN
iajs-2435	88	13	t	t	PROPN
iajs-2435	88	14	,	,	PUNCT
iajs-2435	88	15	where	where	SCONJ
iajs-2435	88	16	𝑖=1	𝑖=1	PROPN
iajs-2435	88	17	,	,	PUNCT
iajs-2435	88	18	2	2	NUM
iajs-2435	88	19	,	,	PUNCT
iajs-2435	88	20	…	…	NUM
iajs-2435	88	21	,	,	PUNCT
iajs-2435	88	22	𝐿	𝐿	PROPN
iajs-2435	88	23	;	;	PUNCT
iajs-2435	88	24	n	n	CCONJ
iajs-2435	88	25	the	the	DET
iajs-2435	88	26	random	random	ADJ
iajs-2435	88	27	limits	limit	NOUN
iajs-2435	88	28	of	of	ADP
iajs-2435	88	29	t	t	PROPN
iajs-2435	88	30	.	.	PUNCT
iajs-2435	89	1	in	in	ADP
iajs-2435	89	2	this	this	DET
iajs-2435	89	3	paper	paper	NOUN
iajs-2435	89	4	,	,	PUNCT
iajs-2435	89	5	we	we	PRON
iajs-2435	89	6	use	use	VERB
iajs-2435	89	7	t	t	NOUN
iajs-2435	89	8	=	=	SYM
iajs-2435	89	9	0.1	0.1	NUM
iajs-2435	89	10	,	,	PUNCT
iajs-2435	89	11	0.2	0.2	NUM
iajs-2435	89	12	,	,	PUNCT
iajs-2435	89	13	0.3	0.3	NUM
iajs-2435	89	14	,	,	PUNCT
iajs-2435	89	15	0.4	0.4	NUM
iajs-2435	89	16	,	,	PUNCT
iajs-2435	89	17	0.5	0.5	NUM
iajs-2435	89	18	.	.	PUNCT
iajs-2435	90	1	the	the	DET
iajs-2435	90	2	results	result	NOUN
iajs-2435	90	3	were	be	AUX
iajs-2435	90	4	summarized	summarize	VERB
iajs-2435	90	5	and	and	CCONJ
iajs-2435	90	6	tabulated	tabulate	VERB
iajs-2435	90	7	in	in	ADP
iajs-2435	90	8	the	the	DET
iajs-2435	90	9	following	follow	VERB
iajs-2435	90	10	tables	table	NOUN
iajs-2435	90	11	for	for	ADP
iajs-2435	90	12	each	each	DET
iajs-2435	90	13	estimator	estimator	NOUN
iajs-2435	90	14	and	and	CCONJ
iajs-2435	90	15	for	for	ADP
iajs-2435	90	16	all	all	DET
iajs-2435	90	17	sample	sample	NOUN
iajs-2435	90	18	sizes	size	NOUN
iajs-2435	90	19	.	.	PUNCT
iajs-2435	91	1	table	table	NOUN
iajs-2435	91	2	1	1	NUM
iajs-2435	91	3	.	.	PUNCT
iajs-2435	91	4	expected	expect	VERB
iajs-2435	91	5	values	value	NOUN
iajs-2435	91	6	and	and	CCONJ
iajs-2435	91	7	mse	mse	PROPN
iajs-2435	91	8	’s	’s	NOUN
iajs-2435	91	9	of	of	ADP
iajs-2435	91	10	the	the	DET
iajs-2435	91	11	different	different	ADJ
iajs-2435	91	12	estimates	estimate	NOUN
iajs-2435	91	13	for	for	ADP
iajs-2435	91	14	the	the	DET
iajs-2435	91	15	gompertz	gompertz	NOUN
iajs-2435	91	16	distribution	distribution	NOUN
iajs-2435	91	17	when	when	SCONJ
iajs-2435	91	18	λ	λ	X
iajs-2435	91	19	=	=	NOUN
iajs-2435	91	20	0.5	0.5	NUM
iajs-2435	91	21	under	under	ADP
iajs-2435	91	22	precautionary	precautionary	ADJ
iajs-2435	91	23	loss	loss	NOUN
iajs-2435	91	24	function	function	NOUN
iajs-2435	91	25	.	.	PUNCT
iajs-2435	92	1	n	n	PRON
iajs-2435	92	2	estimate	estimate	VERB
iajs-2435	92	3	criteria	criterion	NOUN
iajs-2435	92	4	mle	mle	PROPN
iajs-2435	92	5	jeffreys	jeffreys	PROPN
iajs-2435	92	6	prior	prior	ADV
iajs-2435	92	7	gamma	gamma	NOUN
iajs-2435	92	8	prior	prior	ADP
iajs-2435	92	9	α=0.8	α=0.8	PUNCT
iajs-2435	93	1	α=3	α=3	PROPN
iajs-2435	93	2	β=0.5	β=0.5	NOUN
iajs-2435	93	3	β=3	β=3	PUNCT
iajs-2435	93	4	β=0.5	β=0.5	X
iajs-2435	93	5	β=3	β=3	SYM
iajs-2435	93	6	15	15	NUM
iajs-2435	93	7	exp	exp	NOUN
iajs-2435	93	8	0.5353497	0.5353497	NUM
iajs-2435	93	9	0.5529070	0.5529070	NUM
iajs-2435	93	10	0.5705174	0.5705174	NUM
iajs-2435	93	11	0.5217681	0.5217681	NUM
iajs-2435	93	12	0.6475865	0.6475865	NUM
iajs-2435	93	13	0.5922530	0.5922530	NUM
iajs-2435	93	14	mse	mse	NOUN
iajs-2435	93	15	0.0236000	0.0236000	NUM
iajs-2435	93	16	0.0266000	0.0266000	NUM
iajs-2435	93	17	0.0292176	0.0292176	NUM
iajs-2435	94	1	0.0170183	0.0170183	NUM
iajs-2435	94	2	0.0530199	0.0530199	NUM
iajs-2435	94	3	0.0298270	0.0298270	NUM
iajs-2435	94	4	50	50	NUM
iajs-2435	94	5	exp	exp	NOUN
iajs-2435	94	6	0.5102127	0.5102127	NUM
iajs-2435	94	7	0.5152898	0.5152898	NUM
iajs-2435	94	8	0.5207399	0.5207399	NUM
iajs-2435	94	9	0.5075928	0.5075928	NUM
iajs-2435	94	10	0.5430734	0.5430734	NUM
iajs-2435	94	11	0.5293627	0.5293627	NUM
iajs-2435	94	12	mse	mse	NOUN
iajs-2435	94	13	0.0056800	0.0056800	NUM
iajs-2435	94	14	0.0059200	0.0059200	NUM
iajs-2435	94	15	0.0061736	0.0061736	NUM
iajs-2435	94	16	0.0052306	0.0052306	NUM
iajs-2435	94	17	0.0081020	0.0081020	NUM
iajs-2435	94	18	0.0064883	0.0064883	NUM
iajs-2435	94	19	100	100	NUM
iajs-2435	94	20	exp	exp	NOUN
iajs-2435	94	21	0.5053571	0.5053571	NUM
iajs-2435	94	22	0.5078771	0.5078771	NUM
iajs-2435	94	23	0.5106167	0.5106167	NUM
iajs-2435	94	24	0.5041987	0.5041987	NUM
iajs-2435	94	25	0.5217073	0.5217073	NUM
iajs-2435	94	26	0.5151500	0.5151500	NUM
iajs-2435	94	27	mse	mse	NOUN
iajs-2435	94	28	0.0026500	0.0026500	NUM
iajs-2435	94	29	0.0027100	0.0027100	NUM
iajs-2435	94	30	0.0027755	0.0027755	NUM
iajs-2435	94	31	0.0025480	0.0025480	NUM
iajs-2435	94	32	0.0032509	0.0032509	NUM
iajs-2435	94	33	0.0028710	0.0028710	NUM
iajs-2435	94	34	table	table	NOUN
iajs-2435	94	35	2	2	NUM
iajs-2435	94	36	.	.	PUNCT
iajs-2435	94	37	expected	expect	VERB
iajs-2435	94	38	values	value	NOUN
iajs-2435	94	39	and	and	CCONJ
iajs-2435	94	40	mse	mse	PROPN
iajs-2435	94	41	’s	’s	NOUN
iajs-2435	94	42	of	of	ADP
iajs-2435	94	43	the	the	DET
iajs-2435	94	44	different	different	ADJ
iajs-2435	94	45	estimates	estimate	NOUN
iajs-2435	94	46	for	for	ADP
iajs-2435	94	47	the	the	DET
iajs-2435	94	48	gompertz	gompertz	NOUN
iajs-2435	94	49	distribution	distribution	NOUN
iajs-2435	94	50	when	when	SCONJ
iajs-2435	94	51	λ	λ	PROPN
iajs-2435	94	52	=3	=3	VERB
iajs-2435	94	53	under	under	ADP
iajs-2435	94	54	precautionary	precautionary	ADJ
iajs-2435	94	55	loss	loss	NOUN
iajs-2435	94	56	function	function	NOUN
iajs-2435	94	57	.	.	PUNCT
iajs-2435	95	1	estimate	estimate	NOUN
iajs-2435	95	2	criteria	criterion	NOUN
iajs-2435	95	3	mle	mle	PROPN
iajs-2435	95	4	jeffreys	jeffreys	PROPN
iajs-2435	95	5	prior	prior	ADV
iajs-2435	95	6	gamma	gamma	NOUN
iajs-2435	95	7	prior	prior	ADP
iajs-2435	95	8	α=0.8	α=0.8	PUNCT
iajs-2435	96	1	α=3	α=3	PROPN
iajs-2435	96	2	β=0.5	β=0.5	NOUN
iajs-2435	96	3	β=3	β=3	PUNCT
iajs-2435	96	4	β=0.5	β=0.5	X
iajs-2435	96	5	β=3	β=3	SYM
iajs-2435	96	6	15	15	NUM
iajs-2435	96	7	exp	exp	NOUN
iajs-2435	96	8	3.2120990	3.2120990	NUM
iajs-2435	96	9	3.3174430	3.3174430	NUM
iajs-2435	96	10	3.1306090	3.1306090	NUM
iajs-2435	96	11	2.0881310	2.0881310	NUM
iajs-2435	96	12	3.5535200	3.5535200	NUM
iajs-2435	96	13	2.3702080	2.3702080	NUM
iajs-2435	96	14	mse	mse	NOUN
iajs-2435	96	15	0.8484274	0.8484274	NUM
iajs-2435	96	16	0.9577731	0.9577731	NUM
iajs-2435	96	17	0.6126608	0.6126608	NUM
iajs-2435	96	18	0.9436139	0.9436139	NUM
iajs-2435	96	19	1.0737720	1.0737720	NUM
iajs-2435	96	20	0.5410730	0.5410730	NUM
iajs-2435	96	21	50	50	NUM
iajs-2435	96	22	exp	exp	NOUN
iajs-2435	96	23	3.0612750	3.0612750	NUM
iajs-2435	96	24	3.0917390	3.0917390	NUM
iajs-2435	96	25	3.0455510	3.0455510	NUM
iajs-2435	96	26	2.6460040	2.6460040	NUM
iajs-2435	96	27	3.1761730	3.1761730	NUM
iajs-2435	96	28	2.7594880	2.7594880	NUM
iajs-2435	96	29	mse	mse	NOUN
iajs-2435	96	30	0.2044161	0.2044161	NUM
iajs-2435	96	31	0.2130897	0.2130897	NUM
iajs-2435	96	32	0.1883017	0.1883017	NUM
iajs-2435	96	33	0.2303958	0.2303958	NUM
iajs-2435	96	34	0.2335805	0.2335805	NUM
iajs-2435	96	35	0.1721351	0.1721351	NOUN
iajs-2435	96	36	100	100	NUM
iajs-2435	96	37	exp	exp	NOUN
iajs-2435	96	38	3.0321400	3.0321400	NUM
iajs-2435	96	39	3.0472660	3.0472660	NUM
iajs-2435	96	40	3.0251940	3.0251940	NUM
iajs-2435	96	41	2.8132220	2.8132220	NUM
iajs-2435	96	42	3.0908960	3.0908960	NUM
iajs-2435	96	43	2.8743160	2.8743160	NUM
iajs-2435	96	44	mse	mse	NOUN
iajs-2435	96	45	0.0954000	0.0954000	NUM
iajs-2435	96	46	0.0976000	0.0976000	NUM
iajs-2435	96	47	0.0917271	0.0917271	NUM
iajs-2435	96	48	0.1028652	0.1028652	NUM
iajs-2435	96	49	0.1033541	0.1033541	NUM
iajs-2435	96	50	0.0867587	0.0867587	NUM
iajs-2435	96	51	  	  	SPACE
iajs-2435	96	52	147	147	NUM
iajs-2435	96	53	  	  	SPACE
iajs-2435	96	54	ibn	ibn	PROPN
iajs-2435	96	55	al	al	PROPN
iajs-2435	96	56	-	-	PUNCT
iajs-2435	96	57	haitham	haitham	PROPN
iajs-2435	96	58	jour	jour	X
iajs-2435	96	59	.	.	PROPN
iajs-2435	97	1	for	for	ADP
iajs-2435	97	2	pure	pure	ADJ
iajs-2435	97	3	&	&	CCONJ
iajs-2435	97	4	appl	appl	PROPN
iajs-2435	97	5	.	.	PUNCT
iajs-2435	98	1	sci	sci	PROPN
iajs-2435	98	2	.	.	PROPN
iajs-2435	99	1	33	33	NUM
iajs-2435	99	2	(	(	PUNCT
iajs-2435	99	3	2	2	NUM
iajs-2435	99	4	)	)	PUNCT
iajs-2435	99	5	2020	2020	NUM
iajs-2435	99	6	table	table	NOUN
iajs-2435	99	7	3	3	NUM
iajs-2435	99	8	.	.	PUNCT
iajs-2435	100	1	imse	imse	PROPN
iajs-2435	100	2	's	's	PART
iajs-2435	100	3	of	of	ADP
iajs-2435	100	4	the	the	DET
iajs-2435	100	5	different	different	ADJ
iajs-2435	100	6	estimates	estimate	NOUN
iajs-2435	100	7	for	for	ADP
iajs-2435	100	8	r(t	r(t	NOUN
iajs-2435	100	9	)	)	PUNCT
iajs-2435	100	10	of	of	ADP
iajs-2435	100	11	gompertz	gompertz	NOUN
iajs-2435	100	12	distribution	distribution	NOUN
iajs-2435	100	13	where	where	SCONJ
iajs-2435	100	14	λ	λ	X
iajs-2435	100	15	=	=	NOUN
iajs-2435	100	16	0.5	0.5	NUM
iajs-2435	100	17	under	under	ADP
iajs-2435	100	18	precautionary	precautionary	ADJ
iajs-2435	100	19	loss	loss	NOUN
iajs-2435	100	20	function	function	NOUN
iajs-2435	100	21	.	.	PUNCT
iajs-2435	101	1	n	n	X
iajs-2435	101	2	mle	mle	PROPN
iajs-2435	101	3	jeffreys	jeffreys	PROPN
iajs-2435	101	4	prior	prior	ADV
iajs-2435	101	5	gamma	gamma	NOUN
iajs-2435	101	6	prior	prior	ADP
iajs-2435	101	7	α=0.8	α=0.8	PUNCT
iajs-2435	102	1	α=3	α=3	PROPN
iajs-2435	102	2	β=0.5	β=0.5	NOUN
iajs-2435	102	3	β=3	β=3	PUNCT
iajs-2435	102	4	β=0.5	β=0.5	X
iajs-2435	102	5	β=3	β=3	PUNCT
iajs-2435	102	6	15	15	NUM
iajs-2435	102	7	0.0014595	0.0014595	NUM
iajs-2435	102	8	0.0013583	0.0013583	NUM
iajs-2435	102	9	0.0011921	0.0011921	NUM
iajs-2435	102	10	0.0011893	0.0011893	NUM
iajs-2435	102	11	0.0020073	0.0020073	NUM
iajs-2435	102	12	0.0007856	0.0007856	NUM
iajs-2435	102	13	50	50	NUM
iajs-2435	102	14	0.0003847	0.0003847	NUM
iajs-2435	102	15	0.0003768	0.0003768	NUM
iajs-2435	102	16	0.0003637	0.0003637	NUM
iajs-2435	102	17	0.0003559	0.0003559	NUM
iajs-2435	102	18	0.0004424	0.0004424	NUM
iajs-2435	102	19	0.0003110	0.0003110	NUM
iajs-2435	102	20	100	100	NUM
iajs-2435	102	21	0.0001869	0.0001869	NUM
iajs-2435	102	22	0.0001850	0.0001850	NUM
iajs-2435	102	23	0.0001819	0.0001819	NUM
iajs-2435	102	24	0.0001793	0.0001793	NUM
iajs-2435	102	25	0.0002019	0.0002019	NUM
iajs-2435	102	26	0.0001677	0.0001677	NUM
iajs-2435	102	27	table	table	NOUN
iajs-2435	102	28	4	4	NUM
iajs-2435	102	29	.	.	PUNCT
iajs-2435	103	1	imse	imse	PROPN
iajs-2435	103	2	's	's	PART
iajs-2435	103	3	of	of	ADP
iajs-2435	103	4	the	the	DET
iajs-2435	103	5	different	different	ADJ
iajs-2435	103	6	estimates	estimate	NOUN
iajs-2435	103	7	for	for	ADP
iajs-2435	103	8	r(t	r(t	NOUN
iajs-2435	103	9	)	)	PUNCT
iajs-2435	103	10	of	of	ADP
iajs-2435	103	11	gompertz	gompertz	NOUN
iajs-2435	103	12	distribution	distribution	NOUN
iajs-2435	103	13	where	where	SCONJ
iajs-2435	103	14	λ	λ	PROPN
iajs-2435	103	15	=3	=3	VERB
iajs-2435	103	16	under	under	ADP
iajs-2435	103	17	precautionary	precautionary	ADJ
iajs-2435	103	18	loss	loss	NOUN
iajs-2435	103	19	function	function	NOUN
iajs-2435	103	20	.	.	PUNCT
iajs-2435	104	1	n	n	X
iajs-2435	104	2	mle	mle	PROPN
iajs-2435	104	3	jeffreys	jeffreys	PROPN
iajs-2435	104	4	prior	prior	ADV
iajs-2435	104	5	gamma	gamma	NOUN
iajs-2435	104	6	prior	prior	ADP
iajs-2435	104	7	α=0.8	α=0.8	PUNCT
iajs-2435	105	1	α=3	α=3	PROPN
iajs-2435	105	2	β=0.5	β=0.5	NOUN
iajs-2435	105	3	β=3	β=3	PUNCT
iajs-2435	105	4	β=0.5	β=0.5	NOUN
iajs-2435	105	5	β=3	β=3	SYM
iajs-2435	105	6	15	15	NUM
iajs-2435	105	7	0.0069471	0.0069471	NUM
iajs-2435	105	8	0.0063600	0.0063600	NUM
iajs-2435	105	9	0.0099006	0.0099006	NUM
iajs-2435	105	10	0.0830026	0.0830026	NUM
iajs-2435	105	11	0.0060451	0.0060451	NUM
iajs-2435	105	12	0.0661069	0.0661069	NUM
iajs-2435	105	13	50	50	NUM
iajs-2435	105	14	0.0021114	0.0021114	NUM
iajs-2435	105	15	0.0020500	0.0020500	NUM
iajs-2435	105	16	0.0024518	0.0024518	NUM
iajs-2435	105	17	0.0186528	0.0186528	NUM
iajs-2435	105	18	0.0020164	0.0020164	NUM
iajs-2435	105	19	0.0154806	0.0154806	NUM
iajs-2435	105	20	100	100	NUM
iajs-2435	105	21	0.0010669	0.0010669	NUM
iajs-2435	105	22	0.0010500	0.0010500	NUM
iajs-2435	105	23	0.0011561	0.0011561	NUM
iajs-2435	105	24	0.0062854	0.0062854	NUM
iajs-2435	105	25	0.0010415	0.0010415	NUM
iajs-2435	105	26	0.0053507	0.0053507	NUM
iajs-2435	105	27	4	4	NUM
iajs-2435	105	28	.	.	PUNCT
iajs-2435	105	29	conclusions	conclusion	NOUN
iajs-2435	105	30	the	the	DET
iajs-2435	105	31	discussion	discussion	NOUN
iajs-2435	105	32	of	of	ADP
iajs-2435	105	33	the	the	DET
iajs-2435	105	34	results	result	NOUN
iajs-2435	105	35	obtained	obtain	VERB
iajs-2435	105	36	from	from	ADP
iajs-2435	105	37	applying	apply	VERB
iajs-2435	105	38	the	the	DET
iajs-2435	105	39	simulation	simulation	NOUN
iajs-2435	105	40	study	study	NOUN
iajs-2435	105	41	can	can	AUX
iajs-2435	105	42	be	be	AUX
iajs-2435	105	43	summarized	summarize	VERB
iajs-2435	105	44	as	as	SCONJ
iajs-2435	105	45	follows	follow	VERB
iajs-2435	105	46	:	:	PUNCT
iajs-2435	106	1	1	1	X
iajs-2435	106	2	.	.	PUNCT
iajs-2435	106	3	the	the	DET
iajs-2435	106	4	performance	performance	NOUN
iajs-2435	106	5	of	of	ADP
iajs-2435	106	6	bayes	bayes	PROPN
iajs-2435	106	7	estimator	estimator	NOUN
iajs-2435	106	8	under	under	ADP
iajs-2435	106	9	precautionary	precautionary	ADJ
iajs-2435	106	10	loss	loss	NOUN
iajs-2435	106	11	function	function	NOUN
iajs-2435	106	12	of	of	ADP
iajs-2435	106	13	gompertz	gompertz	NOUN
iajs-2435	106	14	distribution	distribution	NOUN
iajs-2435	106	15	is	be	AUX
iajs-2435	106	16	the	the	DET
iajs-2435	106	17	best	good	ADJ
iajs-2435	106	18	estimator	estimator	NOUN
iajs-2435	106	19	comparing	compare	VERB
iajs-2435	106	20	to	to	ADP
iajs-2435	106	21	the	the	DET
iajs-2435	106	22	other	other	ADJ
iajs-2435	106	23	estimators	estimator	NOUN
iajs-2435	106	24	(	(	PUNCT
iajs-2435	106	25	with	with	ADP
iajs-2435	106	26	all	all	DET
iajs-2435	106	27	sample	sample	NOUN
iajs-2435	106	28	sizes	size	NOUN
iajs-2435	106	29	)	)	PUNCT
iajs-2435	107	1	when	when	SCONJ
iajs-2435	107	2	:	:	PUNCT
iajs-2435	107	3			PRON
iajs-2435	107	4	the	the	DET
iajs-2435	107	5	parameter	parameter	NOUN
iajs-2435	107	6	λ=0.5	λ=0.5	PROPN
iajs-2435	107	7	with	with	ADP
iajs-2435	107	8	α=0.8	α=0.8	PRON
iajs-2435	107	9	and	and	CCONJ
iajs-2435	107	10	β=3	β=3	PUNCT
iajs-2435	107	11	see	see	VERB
iajs-2435	107	12	table	table	NOUN
iajs-2435	107	13	1	1	NUM
iajs-2435	107	14	.	.	PUNCT
iajs-2435	107	15			NOUN
iajs-2435	108	1	the	the	DET
iajs-2435	108	2	parameter	parameter	NOUN
iajs-2435	108	3	λ=3	λ=3	NOUN
iajs-2435	108	4	with	with	ADP
iajs-2435	108	5	α=3	α=3	PROPN
iajs-2435	108	6	and	and	CCONJ
iajs-2435	108	7	β=3	β=3	PUNCT
iajs-2435	108	8	see	see	VERB
iajs-2435	108	9	table	table	NOUN
iajs-2435	108	10	2	2	NUM
iajs-2435	108	11	.	.	NOUN
iajs-2435	108	12	2	2	NUM
iajs-2435	108	13	.	.	X
iajs-2435	109	1	the	the	DET
iajs-2435	109	2	performance	performance	NOUN
iajs-2435	109	3	of	of	ADP
iajs-2435	109	4	bayes	bayes	PROPN
iajs-2435	109	5	estimator	estimator	NOUN
iajs-2435	109	6	under	under	ADP
iajs-2435	109	7	precautionary	precautionary	ADJ
iajs-2435	109	8	loss	loss	NOUN
iajs-2435	109	9	function	function	NOUN
iajs-2435	109	10	for	for	ADP
iajs-2435	109	11	estimating	estimate	VERB
iajs-2435	109	12	the	the	DET
iajs-2435	109	13	reliability	reliability	NOUN
iajs-2435	109	14	function	function	NOUN
iajs-2435	109	15	r(t	r(t	NOUN
iajs-2435	109	16	)	)	PUNCT
iajs-2435	109	17	of	of	ADP
iajs-2435	109	18	basic	basic	ADJ
iajs-2435	109	19	gompertz	gompertz	NOUN
iajs-2435	109	20	distribution	distribution	NOUN
iajs-2435	109	21	is	be	AUX
iajs-2435	109	22	the	the	DET
iajs-2435	109	23	best	good	ADJ
iajs-2435	109	24	estimator	estimator	NOUN
iajs-2435	109	25	comparing	compare	VERB
iajs-2435	109	26	to	to	ADP
iajs-2435	109	27	the	the	DET
iajs-2435	109	28	other	other	ADJ
iajs-2435	109	29	estimators	estimator	NOUN
iajs-2435	109	30	when	when	SCONJ
iajs-2435	109	31	:	:	PUNCT
iajs-2435	109	32			PRON
iajs-2435	109	33	the	the	DET
iajs-2435	109	34	parameter	parameter	NOUN
iajs-2435	109	35	 	 	SPACE
iajs-2435	109	36	λ=0.5	λ=0.5	NOUN
iajs-2435	109	37	with	with	ADP
iajs-2435	109	38	α=3	α=3	PROPN
iajs-2435	109	39	and	and	CCONJ
iajs-2435	109	40	β=3	β=3	PUNCT
iajs-2435	109	41	for	for	SCONJ
iajs-2435	109	42	all	all	DET
iajs-2435	109	43	sample	sample	NOUN
iajs-2435	109	44	size	size	NOUN
iajs-2435	109	45	see	see	VERB
iajs-2435	109	46	table	table	NOUN
iajs-2435	109	47	3	3	NUM
iajs-2435	109	48	.	.	PUNCT
iajs-2435	109	49			PUNCT
iajs-2435	110	1	the	the	DET
iajs-2435	110	2	parameter	parameter	NOUN
iajs-2435	110	3	λ=3with	λ=3with	PROPN
iajs-2435	110	4	α=3	α=3	PROPN
iajs-2435	110	5	and	and	CCONJ
iajs-2435	110	6	β=0.5	β=0.5	NOUN
iajs-2435	110	7	for	for	ADP
iajs-2435	110	8	all	all	DET
iajs-2435	110	9	sample	sample	NOUN
iajs-2435	110	10	size	size	NOUN
iajs-2435	110	11	see	see	VERB
iajs-2435	110	12	table	table	NOUN
iajs-2435	110	13	4	4	NUM
iajs-2435	110	14	.	.	PUNCT
iajs-2435	110	15	references	reference	NOUN
iajs-2435	110	16	1	1	NUM
iajs-2435	110	17	.	.	PUNCT
iajs-2435	110	18	wetterstrand	wetterstrand	NOUN
iajs-2435	110	19	,	,	PUNCT
iajs-2435	110	20	w.	w.	PROPN
iajs-2435	110	21	parametric	parametric	PROPN
iajs-2435	110	22	models	model	NOUN
iajs-2435	110	23	for	for	ADP
iajs-2435	110	24	life	life	NOUN
iajs-2435	110	25	insurance	insurance	NOUN
iajs-2435	110	26	mortality	mortality	NOUN
iajs-2435	110	27	data	datum	NOUN
iajs-2435	110	28	:	:	PUNCT
iajs-2435	110	29	gompertz	gompertz	PROPN
iajs-2435	110	30	's	's	PART
iajs-2435	110	31	law	law	NOUN
iajs-2435	110	32	over	over	ADP
iajs-2435	110	33	time	time	NOUN
iajs-2435	110	34	.	.	PUNCT
iajs-2435	111	1	transactions	transaction	NOUN
iajs-2435	111	2	of	of	ADP
iajs-2435	111	3	the	the	DET
iajs-2435	111	4	society	society	NOUN
iajs-2435	111	5	of	of	ADP
iajs-2435	111	6	actuaries.1981	actuaries.1981	PROPN
iajs-2435	111	7	,	,	PUNCT
iajs-2435	111	8	33	33	NUM
iajs-2435	111	9	,	,	PUNCT
iajs-2435	111	10	159	159	NUM
iajs-2435	111	11	-	-	SYM
iajs-2435	111	12	175	175	NUM
iajs-2435	111	13	.	.	PUNCT
iajs-2435	112	1	2	2	NUM
iajs-2435	112	2	.	.	X
iajs-2435	112	3	alwan	alwan	PROPN
iajs-2435	112	4	,	,	PUNCT
iajs-2435	112	5	s.s	s.s	PROPN
iajs-2435	112	6	.	.	PROPN
iajs-2435	112	7	bayes	bayes	PROPN
iajs-2435	112	8	and	and	CCONJ
iajs-2435	112	9	empirical	empirical	ADJ
iajs-2435	112	10	bayes	bayes	NOUN
iajs-2435	112	11	estimators	estimator	NOUN
iajs-2435	112	12	for	for	ADP
iajs-2435	112	13	lomax	lomax	NOUN
iajs-2435	112	14	distribution	distribution	NOUN
iajs-2435	112	15	,	,	PUNCT
iajs-2435	112	16	thesis	thesis	NOUN
iajs-2435	112	17	submitted	submit	VERB
iajs-2435	112	18	to	to	ADP
iajs-2435	112	19	the	the	DET
iajs-2435	112	20	council	council	NOUN
iajs-2435	112	21	of	of	ADP
iajs-2435	112	22	the	the	DET
iajs-2435	112	23	college	college	PROPN
iajs-2435	112	24	of	of	ADP
iajs-2435	112	25	science	science	NOUN
iajs-2435	112	26	at	at	ADP
iajs-2435	112	27	mustansiriyah	mustansiriyah	PROPN
iajs-2435	112	28	university	university	NOUN
iajs-2435	112	29	,	,	PUNCT
iajs-2435	112	30	2015	2015	NUM
iajs-2435	112	31	.	.	PUNCT
iajs-2435	113	1	3	3	X
iajs-2435	113	2	.	.	X
iajs-2435	113	3	rasheed	rasheed	PROPN
iajs-2435	113	4	,	,	PUNCT
iajs-2435	113	5	h.a	h.a	PROPN
iajs-2435	113	6	.	.	PROPN
iajs-2435	113	7	;	;	PUNCT
iajs-2435	113	8	hasanain	hasanain	PROPN
iajs-2435	113	9	,	,	PUNCT
iajs-2435	113	10	w.s	w.s	PROPN
iajs-2435	113	11	.	.	PROPN
iajs-2435	113	12	;	;	PUNCT
iajs-2435	113	13	nadia	nadia	PROPN
iajs-2435	113	14	,	,	PUNCT
iajs-2435	113	15	j.	j.	PROPN
iajs-2435	113	16	comparing	compare	VERB
iajs-2435	113	17	some	some	DET
iajs-2435	113	18	estimators	estimator	NOUN
iajs-2435	113	19	of	of	ADP
iajs-2435	113	20	the	the	DET
iajs-2435	113	21	parameter	parameter	NOUN
iajs-2435	113	22	of	of	ADP
iajs-2435	113	23	basic	basic	ADJ
iajs-2435	113	24	gompertz	gompertz	NOUN
iajs-2435	113	25	distribution	distribution	NOUN
iajs-2435	113	26	,	,	PUNCT
iajs-2435	113	27	journal	journal	NOUN
iajs-2435	113	28	of	of	ADP
iajs-2435	113	29	iraqi	iraqi	PROPN
iajs-2435	113	30	al	al	PROPN
iajs-2435	113	31	-	-	PUNCT
iajs-2435	113	32	khwarizmi	khwarizmi	PROPN
iajs-2435	113	33	society	society	NOUN
iajs-2435	113	34	(	(	PUNCT
iajs-2435	113	35	jikhs).2018	jikhs).2018	PROPN
iajs-2435	113	36	,	,	PUNCT
iajs-2435	113	37	2	2	NUM
iajs-2435	113	38	,	,	PUNCT
iajs-2435	113	39	178	178	NUM
iajs-2435	113	40	-	-	SYM
iajs-2435	113	41	187	187	NUM
iajs-2435	113	42	.	.	NOUN
iajs-2435	114	1	4	4	NUM
iajs-2435	114	2	.	.	X
iajs-2435	114	3	lenart	lenart	ADJ
iajs-2435	114	4	,	,	PUNCT
iajs-2435	114	5	a.	a.	NOUN
iajs-2435	115	1	the	the	DET
iajs-2435	115	2	moments	moment	NOUN
iajs-2435	115	3	of	of	ADP
iajs-2435	115	4	the	the	DET
iajs-2435	115	5	gompertz	gompertz	NOUN
iajs-2435	115	6	distribution	distribution	NOUN
iajs-2435	115	7	and	and	CCONJ
iajs-2435	115	8	maximum	maximum	ADJ
iajs-2435	115	9	likelihood	likelihood	NOUN
iajs-2435	115	10	estimation	estimation	NOUN
iajs-2435	115	11	of	of	ADP
iajs-2435	115	12	its	its	PRON
iajs-2435	115	13	parameters	parameter	NOUN
iajs-2435	115	14	,	,	PUNCT
iajs-2435	115	15	scandinavian	scandinavian	ADJ
iajs-2435	115	16	actuarial	actuarial	PROPN
iajs-2435	115	17	journal.2014	journal.2014	PROPN
iajs-2435	115	18	,	,	PUNCT
iajs-2435	115	19	3	3	NUM
iajs-2435	115	20	,	,	PUNCT
iajs-2435	115	21	255	255	NUM
iajs-2435	115	22	-	-	SYM
iajs-2435	115	23	277	277	NUM
iajs-2435	115	24	.	.	PUNCT
iajs-2435	116	1	5	5	X
iajs-2435	116	2	.	.	X
iajs-2435	116	3	garg	garg	NOUN
iajs-2435	116	4	,	,	PUNCT
iajs-2435	116	5	m.l	m.l	PROPN
iajs-2435	116	6	.	.	PROPN
iajs-2435	116	7	;	;	PUNCT
iajs-2435	116	8	rao	rao	PROPN
iajs-2435	116	9	,	,	PUNCT
iajs-2435	116	10	b.r	b.r	PROPN
iajs-2435	116	11	.	.	PROPN
iajs-2435	116	12	;	;	PUNCT
iajs-2435	116	13	redmond	redmond	PROPN
iajs-2435	116	14	,	,	PUNCT
iajs-2435	116	15	c.k	c.k	PROPN
iajs-2435	116	16	.	.	PROPN
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iajs-2435	116	18	likelihood	likelihood	NOUN
iajs-2435	116	19	estimation	estimation	NOUN
iajs-2435	116	20	of	of	ADP
iajs-2435	116	21	the	the	DET
iajs-2435	116	22	parameters	parameter	NOUN
iajs-2435	116	23	of	of	ADP
iajs-2435	116	24	the	the	DET
iajs-2435	116	25	gompertz	gompertz	PROPN
iajs-2435	116	26	survival	survival	PROPN
iajs-2435	116	27	function	function	PROPN
iajs-2435	116	28	,	,	PUNCT
iajs-2435	116	29	journal	journal	NOUN
iajs-2435	116	30	of	of	ADP
iajs-2435	116	31	the	the	DET
iajs-2435	116	32	royal	royal	ADJ
iajs-2435	116	33	statistical	statistical	ADJ
iajs-2435	116	34	society	society	NOUN
iajs-2435	116	35	c.	c.	PROPN
iajs-2435	116	36	1970	1970	NUM
iajs-2435	116	37	,	,	PUNCT
iajs-2435	116	38	19	19	NUM
iajs-2435	116	39	,	,	PUNCT
iajs-2435	116	40	152–159	152–159	NUM
iajs-2435	116	41	.	.	PUNCT
iajs-2435	116	42	  	  	SPACE
iajs-2435	117	1	148	148	NUM
iajs-2435	117	2	  	  	SPACE
iajs-2435	117	3	ibn	ibn	PROPN
iajs-2435	117	4	al	al	PROPN
iajs-2435	117	5	-	-	PUNCT
iajs-2435	117	6	haitham	haitham	PROPN
iajs-2435	117	7	jour	jour	X
iajs-2435	117	8	.	.	PROPN
iajs-2435	117	9	for	for	ADP
iajs-2435	117	10	pure	pure	ADJ
iajs-2435	117	11	&	&	CCONJ
iajs-2435	117	12	appl	appl	PROPN
iajs-2435	117	13	.	.	PUNCT
iajs-2435	118	1	sci	sci	PROPN
iajs-2435	118	2	.	.	PROPN
iajs-2435	119	1	33	33	NUM
iajs-2435	119	2	(	(	PUNCT
iajs-2435	119	3	2	2	NUM
iajs-2435	119	4	)	)	PUNCT
iajs-2435	119	5	2020	2020	NUM
iajs-2435	119	6	6	6	NUM
iajs-2435	119	7	.	.	PUNCT
iajs-2435	119	8	griffin	griffin	PROPN
iajs-2435	119	9	,	,	PUNCT
iajs-2435	119	10	j.	j.	PROPN
iajs-2435	119	11	e.	e.	PROPN
iajs-2435	119	12	;	;	PUNCT
iajs-2435	119	13	brown	brown	PROPN
iajs-2435	119	14	,	,	PUNCT
iajs-2435	119	15	p.j	p.j	PROPN
iajs-2435	119	16	.	.	PROPN
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iajs-2435	119	18	with	with	ADP
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iajs-2435	119	20	-	-	PUNCT
iajs-2435	119	21	gamma	gamma	NOUN
iajs-2435	119	22	prior	prior	ADJ
iajs-2435	119	23	distributions	distribution	NOUN
iajs-2435	119	24	in	in	ADP
iajs-2435	119	25	regression	regression	NOUN
iajs-2435	119	26	problems	problem	NOUN
iajs-2435	119	27	,	,	PUNCT
iajs-2435	119	28	bayesian	bayesian	PROPN
iajs-2435	119	29	analysis.2010	analysis.2010	PROPN
iajs-2435	119	30	,	,	PUNCT
iajs-2435	119	31	5	5	NUM
iajs-2435	119	32	,	,	PUNCT
iajs-2435	119	33	1	1	NUM
iajs-2435	119	34	,	,	PUNCT
iajs-2435	119	35	171	171	NUM
iajs-2435	119	36	-	-	SYM
iajs-2435	119	37	188	188	NUM
iajs-2435	119	38	.	.	PUNCT
iajs-2435	120	1	7	7	NUM
iajs-2435	120	2	.	.	NUM
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iajs-2435	120	4	,	,	PUNCT
iajs-2435	120	5	z.f	z.f	PROPN
iajs-2435	120	6	.	.	PROPN
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iajs-2435	120	9	analysis	analysis	NOUN
iajs-2435	120	10	of	of	ADP
iajs-2435	120	11	record	record	NOUN
iajs-2435	120	12	statistics	statistic	NOUN
iajs-2435	120	13	from	from	ADP
iajs-2435	120	14	the	the	DET
iajs-2435	120	15	gompertz	gompertz	NOUN
iajs-2435	120	16	model	model	NOUN
iajs-2435	120	17	,	,	PUNCT
iajs-2435	120	18	applied	apply	VERB
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iajs-2435	120	20	and	and	CCONJ
iajs-2435	120	21	computation.2003	computation.2003	PROPN
iajs-2435	120	22	,	,	PUNCT
iajs-2435	120	23	145	145	NUM
iajs-2435	120	24	,	,	PUNCT
iajs-2435	120	25	2	2	NUM
iajs-2435	120	26	-	-	SYM
iajs-2435	120	27	3	3	NUM
iajs-2435	120	28	,	,	PUNCT
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iajs-2435	120	30	-	-	SYM
iajs-2435	120	31	320	320	NUM
iajs-2435	120	32	.	.	NOUN
iajs-2435	120	33	8	8	NUM
iajs-2435	120	34	.	.	PUNCT
iajs-2435	121	1	al	al	PROPN
iajs-2435	121	2	-	-	PUNCT
iajs-2435	121	3	kutubi	kutubi	NOUN
iajs-2435	121	4	,	,	PUNCT
iajs-2435	121	5	h.s	h.s	PROPN
iajs-2435	121	6	.	.	PROPN
iajs-2435	121	7	;	;	PUNCT
iajs-2435	121	8	ibrahim	ibrahim	PROPN
iajs-2435	121	9	,	,	PUNCT
iajs-2435	121	10	n.a	n.a	PROPN
iajs-2435	121	11	.	.	PROPN
iajs-2435	121	12	bayes	bayes	PROPN
iajs-2435	121	13	estimator	estimator	NOUN
iajs-2435	121	14	for	for	ADP
iajs-2435	121	15	exponential	exponential	ADJ
iajs-2435	121	16	distribution	distribution	NOUN
iajs-2435	121	17	with	with	ADP
iajs-2435	121	18	extension	extension	NOUN
iajs-2435	121	19	of	of	ADP
iajs-2435	121	20	jeffrey	jeffrey	PROPN
iajs-2435	121	21	prior	prior	ADJ
iajs-2435	121	22	information	information	NOUN
iajs-2435	121	23	,	,	PUNCT
iajs-2435	121	24	malaysian	malaysian	ADJ
iajs-2435	121	25	journal	journal	PROPN
iajs-2435	121	26	of	of	ADP
iajs-2435	121	27	mathematical	mathematical	ADJ
iajs-2435	121	28	sciences	science	NOUN
iajs-2435	121	29	.	.	PUNCT
iajs-2435	121	30	2009	2009	NUM
iajs-2435	121	31	,	,	PUNCT
iajs-2435	121	32	3	3	NUM
iajs-2435	121	33	,	,	PUNCT
iajs-2435	121	34	2	2	NUM
iajs-2435	121	35	,	,	PUNCT
iajs-2435	121	36	297	297	NUM
iajs-2435	121	37	-	-	SYM
iajs-2435	121	38	313	313	NUM
iajs-2435	121	39	.	.	NOUN
iajs-2435	121	40	9	9	X
iajs-2435	121	41	.	.	X
iajs-2435	121	42	walck	walck	NOUN
iajs-2435	121	43	,	,	PUNCT
iajs-2435	121	44	c.	c.	PROPN
iajs-2435	121	45	hand	hand	NOUN
iajs-2435	121	46	-	-	PUNCT
iajs-2435	121	47	book	book	NOUN
iajs-2435	121	48	on	on	ADP
iajs-2435	121	49	statistical	statistical	ADJ
iajs-2435	121	50	distributions	distribution	NOUN
iajs-2435	121	51	for	for	ADP
iajs-2435	121	52	experimentalists	experimentalist	NOUN
iajs-2435	121	53	,	,	PUNCT
iajs-2435	121	54	universitey	universitey	NOUN
iajs-2435	121	55	stockholms	stockholm	NOUN
iajs-2435	121	56	,	,	PUNCT
iajs-2435	121	57	2007	2007	NUM
iajs-2435	121	58	.	.	PUNCT
iajs-2435	122	1	10	10	NUM
iajs-2435	122	2	.	.	PUNCT
iajs-2435	123	1	li	li	PROPN
iajs-2435	123	2	,	,	PUNCT
iajs-2435	123	3	j.	j.	PROPN
iajs-2435	123	4	;	;	PUNCT
iajs-2435	123	5	ren	ren	PROPN
iajs-2435	123	6	,	,	PUNCT
iajs-2435	123	7	h.	h.	PROPN
iajs-2435	123	8	estimation	estimation	NOUN
iajs-2435	123	9	of	of	ADP
iajs-2435	123	10	one	one	NUM
iajs-2435	123	11	parameter	parameter	NOUN
iajs-2435	123	12	exponential	exponential	NOUN
iajs-2435	123	13	,	,	PUNCT
iajs-2435	123	14	international	international	ADJ
iajs-2435	123	15	journal	journal	NOUN
iajs-2435	123	16	engineering	engineering	NOUN
iajs-2435	123	17	and	and	CCONJ
iajs-2435	123	18	manufacturing.2012	manufacturing.2012	NOUN
iajs-2435	123	19	,	,	PUNCT
iajs-2435	123	20	3	3	NUM
iajs-2435	123	21	,	,	PUNCT
iajs-2435	123	22	75	75	NUM
iajs-2435	123	23	-	-	SYM
iajs-2435	123	24	81	81	NUM
iajs-2435	123	25	.	.	PUNCT
iajs-2435	123	26	11	11	NUM
iajs-2435	123	27	.	.	PUNCT
iajs-2435	124	1	naji	naji	PROPN
iajs-2435	124	2	,	,	PUNCT
iajs-2435	124	3	l.f	l.f	PROPN
iajs-2435	124	4	.	.	PROPN
iajs-2435	124	5	;	;	PUNCT
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iajs-2435	124	7	,	,	PUNCT
iajs-2435	124	8	h.a	h.a	PROPN
iajs-2435	124	9	.	.	PROPN
iajs-2435	124	10	bayesian	bayesian	NOUN
iajs-2435	124	11	estimation	estimation	NOUN
iajs-2435	124	12	for	for	ADP
iajs-2435	124	13	two	two	NUM
iajs-2435	124	14	parameters	parameter	NOUN
iajs-2435	124	15	of	of	ADP
iajs-2435	124	16	gamma	gamma	NOUN
iajs-2435	124	17	distribution	distribution	NOUN
iajs-2435	124	18	under	under	ADP
iajs-2435	124	19	generalized	generalize	VERB
iajs-2435	124	20	weighted	weight	VERB
iajs-2435	124	21	loss	loss	NOUN
iajs-2435	124	22	function	function	NOUN
iajs-2435	124	23	,	,	PUNCT
iajs-2435	124	24	iraqi	iraqi	ADJ
iajs-2435	124	25	journal	journal	NOUN
iajs-2435	124	26	of	of	ADP
iajs-2435	124	27	science.2019	science.2019	PROPN
iajs-2435	124	28	,	,	PUNCT
iajs-2435	124	29	32	32	NUM
iajs-2435	124	30	,	,	PUNCT
iajs-2435	124	31	1	1	NUM
iajs-2435	124	32	,	,	PUNCT
iajs-2435	124	33	1161	1161	NUM
iajs-2435	124	34	-	-	SYM
iajs-2435	124	35	1171	1171	NUM
iajs-2435	124	36	.	.	PUNCT