id	sid	tid	token	lemma	pos
iajs-2482	1	1	microsoft	microsoft	PROPN
iajs-2482	1	2	word	word	NOUN
iajs-2482	1	3	167	167	NUM
iajs-2482	1	4	-	-	SYM
iajs-2482	1	5	174	174	NUM
iajs-2482	1	6	  	  	SPACE
iajs-2482	1	7	167	167	NUM
iajs-2482	1	8	ibn	ibn	PROPN
iajs-2482	1	9	al	al	PROPN
iajs-2482	1	10	-	-	PUNCT
iajs-2482	1	11	haitham	haitham	PROPN
iajs-2482	1	12	jour	jour	X
iajs-2482	1	13	.	.	PROPN
iajs-2482	2	1	for	for	ADP
iajs-2482	2	2	pure	pure	ADJ
iajs-2482	2	3	&	&	CCONJ
iajs-2482	2	4	appl	appl	PROPN
iajs-2482	2	5	.	.	PUNCT
iajs-2482	3	1	sci	sci	PROPN
iajs-2482	3	2	.	.	PROPN
iajs-2482	4	1	33	33	NUM
iajs-2482	4	2	(	(	PUNCT
iajs-2482	4	3	3	3	NUM
iajs-2482	4	4	)	)	PUNCT
iajs-2482	4	5	2020	2020	NUM
iajs-2482	4	6	      	      	SPACE
iajs-2482	4	7	estimation	estimation	NOUN
iajs-2482	4	8	of	of	ADP
iajs-2482	4	9	the	the	DET
iajs-2482	4	10	reliability	reliability	NOUN
iajs-2482	4	11	function	function	NOUN
iajs-2482	4	12	of	of	ADP
iajs-2482	4	13	basic	basic	ADJ
iajs-2482	4	14	gompertz	gompertz	NOUN
iajs-2482	4	15	distribution	distribution	NOUN
iajs-2482	4	16	under	under	ADP
iajs-2482	4	17	different	different	ADJ
iajs-2482	4	18	priors	prior	NOUN
iajs-2482	5	1	manahel	manahel	PROPN
iajs-2482	5	2	kh	kh	PROPN
iajs-2482	5	3	.	.	PROPN
iajs-2482	5	4	awad	awad	PROPN
iajs-2482	5	5	huda	huda	PROPN
iajs-2482	5	6	a.	a.	PROPN
iajs-2482	5	7	rasheed	rasheed	PROPN
iajs-2482	5	8	department	department	PROPN
iajs-2482	5	9	of	of	ADP
iajs-2482	5	10	mathematics	mathematic	NOUN
iajs-2482	5	11	,	,	PUNCT
iajs-2482	5	12	collage	collage	NOUN
iajs-2482	5	13	of	of	ADP
iajs-2482	5	14	science	science	NOUN
iajs-2482	5	15	,	,	PUNCT
iajs-2482	5	16	mustansiriyah	mustansiriyah	NOUN
iajs-2482	5	17	university	university	NOUN
iajs-2482	5	18	                      	                      	SPACE
iajs-2482	5	19	manahel.kh@yahoo.com	manahel.kh@yahoo.com	PROPN
iajs-2482	5	20	                                     	                                     	SPACE
iajs-2482	5	21	hudamath@uomustansiriyah.edu.iq	hudamath@uomustansiriyah.edu.iq	NOUN
iajs-2482	5	22	abstract	abstract	NOUN
iajs-2482	5	23	in	in	ADP
iajs-2482	5	24	this	this	DET
iajs-2482	5	25	paper	paper	NOUN
iajs-2482	5	26	,	,	PUNCT
iajs-2482	5	27	some	some	DET
iajs-2482	5	28	estimators	estimator	NOUN
iajs-2482	5	29	for	for	ADP
iajs-2482	5	30	the	the	DET
iajs-2482	5	31	reliability	reliability	NOUN
iajs-2482	5	32	function	function	NOUN
iajs-2482	5	33	r(t	r(t	NOUN
iajs-2482	5	34	)	)	PUNCT
iajs-2482	5	35	of	of	ADP
iajs-2482	5	36	basic	basic	ADJ
iajs-2482	5	37	gompertz	gompertz	NOUN
iajs-2482	5	38	(	(	PUNCT
iajs-2482	5	39	bg	bg	NOUN
iajs-2482	5	40	)	)	PUNCT
iajs-2482	5	41	distribution	distribution	NOUN
iajs-2482	5	42	have	have	AUX
iajs-2482	5	43	been	be	AUX
iajs-2482	5	44	obtained	obtain	VERB
iajs-2482	5	45	,	,	PUNCT
iajs-2482	5	46	such	such	ADJ
iajs-2482	5	47	as	as	ADP
iajs-2482	5	48	maximum	maximum	ADJ
iajs-2482	5	49	likelihood	likelihood	NOUN
iajs-2482	5	50	estimator	estimator	NOUN
iajs-2482	5	51	,	,	PUNCT
iajs-2482	5	52	and	and	CCONJ
iajs-2482	5	53	bayesian	bayesian	NOUN
iajs-2482	5	54	estimators	estimator	NOUN
iajs-2482	5	55	under	under	ADP
iajs-2482	5	56	general	general	ADJ
iajs-2482	5	57	entropy	entropy	NOUN
iajs-2482	5	58	loss	loss	NOUN
iajs-2482	5	59	function	function	NOUN
iajs-2482	5	60	by	by	ADP
iajs-2482	5	61	assuming	assume	VERB
iajs-2482	5	62	non	non	ADJ
iajs-2482	5	63	-	-	ADJ
iajs-2482	5	64	informative	informative	ADJ
iajs-2482	5	65	prior	prior	ADV
iajs-2482	5	66	by	by	ADP
iajs-2482	5	67	using	use	VERB
iajs-2482	5	68	jefferys	jefferys	NOUN
iajs-2482	5	69	prior	prior	ADV
iajs-2482	5	70	and	and	CCONJ
iajs-2482	5	71	informative	informative	ADJ
iajs-2482	5	72	prior	prior	ADV
iajs-2482	5	73	represented	represent	VERB
iajs-2482	5	74	by	by	ADP
iajs-2482	5	75	gamma	gamma	NOUN
iajs-2482	5	76	and	and	CCONJ
iajs-2482	5	77	inverted	inverted	ADJ
iajs-2482	5	78	levy	levy	NOUN
iajs-2482	5	79	priors	prior	NOUN
iajs-2482	5	80	.	.	PUNCT
iajs-2482	6	1	montecarlo	montecarlo	PROPN
iajs-2482	6	2	simulation	simulation	PROPN
iajs-2482	6	3	is	be	AUX
iajs-2482	6	4	conducted	conduct	VERB
iajs-2482	6	5	to	to	PART
iajs-2482	6	6	compare	compare	VERB
iajs-2482	6	7	the	the	DET
iajs-2482	6	8	performance	performance	NOUN
iajs-2482	6	9	of	of	ADP
iajs-2482	6	10	all	all	DET
iajs-2482	6	11	estimates	estimate	NOUN
iajs-2482	6	12	of	of	ADP
iajs-2482	6	13	the	the	DET
iajs-2482	6	14	r(t	r(t	NOUN
iajs-2482	6	15	)	)	PUNCT
iajs-2482	6	16	,	,	PUNCT
iajs-2482	6	17	based	base	VERB
iajs-2482	6	18	on	on	ADP
iajs-2482	6	19	integrated	integrated	ADJ
iajs-2482	6	20	mean	mean	NOUN
iajs-2482	6	21	squared	square	VERB
iajs-2482	6	22	.	.	PUNCT
iajs-2482	7	1	keywords	keyword	NOUN
iajs-2482	7	2	:	:	PUNCT
iajs-2482	7	3	basic	basic	ADJ
iajs-2482	7	4	gompertz	gompertz	NOUN
iajs-2482	7	5	distribution	distribution	NOUN
iajs-2482	7	6	,	,	PUNCT
iajs-2482	7	7	general	general	ADJ
iajs-2482	7	8	entropy	entropy	NOUN
iajs-2482	7	9	loss	loss	NOUN
iajs-2482	7	10	function	function	NOUN
iajs-2482	7	11	,	,	PUNCT
iajs-2482	7	12	integrated	integrate	VERB
iajs-2482	7	13	mean	mean	ADJ
iajs-2482	7	14	squared	square	VERB
iajs-2482	7	15	errors	error	NOUN
iajs-2482	7	16	,	,	PUNCT
iajs-2482	7	17	maximum	maximum	ADJ
iajs-2482	7	18	likelihood	likelihood	NOUN
iajs-2482	7	19	estimator	estimator	NOUN
iajs-2482	7	20	,	,	PUNCT
iajs-2482	7	21	reliability	reliability	NOUN
iajs-2482	7	22	function	function	NOUN
iajs-2482	7	23	.	.	PUNCT
iajs-2482	8	1	1	1	X
iajs-2482	8	2	.	.	X
iajs-2482	8	3	introduction	introduction	NOUN
iajs-2482	8	4	the	the	DET
iajs-2482	8	5	british	british	ADJ
iajs-2482	8	6	benjamin	benjamin	PROPN
iajs-2482	8	7	gompertz	gompertz	PROPN
iajs-2482	8	8	(	(	PUNCT
iajs-2482	8	9	1825	1825	NUM
iajs-2482	8	10	)	)	PUNCT
iajs-2482	8	11	reached	reach	VERB
iajs-2482	8	12	to	to	ADP
iajs-2482	8	13	the	the	DET
iajs-2482	8	14	law	law	NOUN
iajs-2482	8	15	of	of	ADP
iajs-2482	8	16	geometrical	geometrical	ADJ
iajs-2482	8	17	progression	progression	NOUN
iajs-2482	8	18	pervades	pervade	VERB
iajs-2482	8	19	large	large	ADJ
iajs-2482	8	20	portions	portion	NOUN
iajs-2482	8	21	of	of	ADP
iajs-2482	8	22	different	different	ADJ
iajs-2482	8	23	tables	table	NOUN
iajs-2482	8	24	of	of	ADP
iajs-2482	8	25	mortality	mortality	NOUN
iajs-2482	8	26	for	for	ADP
iajs-2482	8	27	humans	human	NOUN
iajs-2482	8	28	.	.	PUNCT
iajs-2482	9	1	the	the	DET
iajs-2482	9	2	formula	formula	NOUN
iajs-2482	9	3	he	he	PRON
iajs-2482	9	4	derived	derive	VERB
iajs-2482	9	5	was	be	AUX
iajs-2482	9	6	commonly	commonly	ADV
iajs-2482	9	7	called	call	VERB
iajs-2482	9	8	the	the	DET
iajs-2482	9	9	gompertz	gompertz	NOUN
iajs-2482	9	10	equation	equation	NOUN
iajs-2482	9	11	,	,	PUNCT
iajs-2482	9	12	which	which	PRON
iajs-2482	9	13	is	be	AUX
iajs-2482	9	14	a	a	DET
iajs-2482	9	15	valuable	valuable	ADJ
iajs-2482	9	16	tool	tool	NOUN
iajs-2482	9	17	in	in	ADP
iajs-2482	9	18	demography	demography	NOUN
iajs-2482	9	19	,	,	PUNCT
iajs-2482	9	20	reliability	reliability	NOUN
iajs-2482	9	21	analysis	analysis	NOUN
iajs-2482	9	22	,	,	PUNCT
iajs-2482	9	23	and	and	CCONJ
iajs-2482	9	24	life	life	NOUN
iajs-2482	9	25	testing	testing	NOUN
iajs-2482	9	26	.	.	PUNCT
iajs-2482	10	1	it	it	PRON
iajs-2482	10	2	is	be	AUX
iajs-2482	10	3	widely	widely	ADV
iajs-2482	10	4	used	use	VERB
iajs-2482	10	5	in	in	ADP
iajs-2482	10	6	bayesian	bayesian	NOUN
iajs-2482	10	7	estimation	estimation	NOUN
iajs-2482	10	8	as	as	ADP
iajs-2482	10	9	a	a	DET
iajs-2482	10	10	conjugate	conjugate	NOUN
iajs-2482	10	11	prior	prior	ADV
iajs-2482	10	12	also	also	ADV
iajs-2482	10	13	in	in	ADP
iajs-2482	10	14	demonstrating	demonstrate	VERB
iajs-2482	10	15	individuals	individual	NOUN
iajs-2482	10	16	'	'	PART
iajs-2482	10	17	mortality	mortality	NOUN
iajs-2482	10	18	and	and	CCONJ
iajs-2482	10	19	actuarial	actuarial	ADJ
iajs-2482	10	20	chart	chart	NOUN
iajs-2482	10	21	and	and	CCONJ
iajs-2482	10	22	different	different	ADJ
iajs-2482	10	23	scientific	scientific	ADJ
iajs-2482	10	24	disciplines	discipline	NOUN
iajs-2482	10	25	fields	field	NOUN
iajs-2482	10	26	such	such	ADJ
iajs-2482	10	27	as	as	ADP
iajs-2482	10	28	biological	biological	ADJ
iajs-2482	10	29	,	,	PUNCT
iajs-2482	10	30	marketing	marketing	NOUN
iajs-2482	10	31	science	science	NOUN
iajs-2482	10	32	,	,	PUNCT
iajs-2482	10	33	also	also	ADV
iajs-2482	10	34	in	in	ADP
iajs-2482	10	35	network	network	NOUN
iajs-2482	10	36	theory	theory	NOUN
iajs-2482	10	37	.	.	PUNCT
iajs-2482	11	1	therefore	therefore	ADV
iajs-2482	11	2	,	,	PUNCT
iajs-2482	11	3	the	the	DET
iajs-2482	11	4	main	main	ADJ
iajs-2482	11	5	objective	objective	NOUN
iajs-2482	11	6	of	of	ADP
iajs-2482	11	7	this	this	DET
iajs-2482	11	8	paper	paper	NOUN
iajs-2482	11	9	is	be	AUX
iajs-2482	11	10	to	to	PART
iajs-2482	11	11	obtain	obtain	VERB
iajs-2482	11	12	the	the	DET
iajs-2482	11	13	best	good	ADJ
iajs-2482	11	14	estimator	estimator	NOUN
iajs-2482	11	15	for	for	ADP
iajs-2482	11	16	the	the	DET
iajs-2482	11	17	reliability	reliability	NOUN
iajs-2482	11	18	function	function	NOUN
iajs-2482	11	19	of	of	ADP
iajs-2482	11	20	bg	bg	NOUN
iajs-2482	11	21	distribution	distribution	NOUN
iajs-2482	11	22	under	under	ADP
iajs-2482	11	23	general	general	ADJ
iajs-2482	11	24	entropy	entropy	NOUN
iajs-2482	11	25	error	error	NOUN
iajs-2482	11	26	loss	loss	NOUN
iajs-2482	11	27	function	function	NOUN
iajs-2482	11	28	(	(	PUNCT
iajs-2482	11	29	gelf	gelf	NOUN
iajs-2482	11	30	)	)	PUNCT
iajs-2482	11	31	with	with	ADP
iajs-2482	11	32	assuming	assume	VERB
iajs-2482	11	33	different	different	ADJ
iajs-2482	11	34	priors	prior	NOUN
iajs-2482	11	35	.	.	PUNCT
iajs-2482	12	1	the	the	DET
iajs-2482	12	2	gompertz	gompertz	NOUN
iajs-2482	12	3	distribution	distribution	NOUN
iajs-2482	12	4	has	have	VERB
iajs-2482	12	5	the	the	DET
iajs-2482	12	6	following	follow	VERB
iajs-2482	12	7	p.d.f	p.d.f	NOUN
iajs-2482	12	8	[	[	X
iajs-2482	12	9	1	1	NUM
iajs-2482	12	10	]	]	PUNCT
iajs-2482	12	11	.	.	PUNCT
iajs-2482	13	1	f	f	PROPN
iajs-2482	13	2	t	t	PROPN
iajs-2482	13	3	;	;	PUNCT
iajs-2482	13	4	ζ	ζ	X
iajs-2482	13	5	,	,	PUNCT
iajs-2482	13	6	φ	φ	PROPN
iajs-2482	13	7	φ	φ	PROPN
iajs-2482	13	8	exp	exp	PROPN
iajs-2482	13	9	ζt	ζt	PROPN
iajs-2482	13	10	1	1	NUM
iajs-2482	13	11	e	e	NOUN
iajs-2482	13	12	;	;	PUNCT
iajs-2482	13	13	t	t	PROPN
iajs-2482	13	14	0	0	NUM
iajs-2482	13	15	ζ	ζ	PROPN
iajs-2482	13	16	,	,	PUNCT
iajs-2482	13	17	φ	φ	PROPN
iajs-2482	13	18	>	>	X
iajs-2482	13	19	0	0	NUM
iajs-2482	13	20	where	where	SCONJ
iajs-2482	13	21	ζ	ζ	NOUN
iajs-2482	13	22	is	be	AUX
iajs-2482	13	23	the	the	DET
iajs-2482	13	24	scale	scale	NOUN
iajs-2482	13	25	parameter	parameter	NOUN
iajs-2482	13	26	and	and	CCONJ
iajs-2482	13	27	φ	φ	PROPN
iajs-2482	13	28	is	be	AUX
iajs-2482	13	29	shape	shape	NOUN
iajs-2482	13	30	parameter	parameter	NOUN
iajs-2482	13	31	of	of	ADP
iajs-2482	13	32	the	the	DET
iajs-2482	13	33	gompertz	gompertz	NOUN
iajs-2482	13	34	distribution	distribution	NOUN
iajs-2482	13	35	.	.	PUNCT
iajs-2482	14	1	in	in	ADP
iajs-2482	14	2	this	this	DET
iajs-2482	14	3	paper	paper	NOUN
iajs-2482	14	4	,	,	PUNCT
iajs-2482	14	5	a	a	DET
iajs-2482	14	6	special	special	ADJ
iajs-2482	14	7	case	case	NOUN
iajs-2482	14	8	of	of	ADP
iajs-2482	14	9	gompertz	gompertz	NOUN
iajs-2482	14	10	distribution	distribution	NOUN
iajs-2482	14	11	knows	know	VERB
iajs-2482	14	12	as	as	SCONJ
iajs-2482	14	13	bg	bg	NOUN
iajs-2482	14	14	distribution	distribution	NOUN
iajs-2482	14	15	will	will	AUX
iajs-2482	14	16	be	be	AUX
iajs-2482	14	17	assumed	assume	VERB
iajs-2482	14	18	by	by	ADP
iajs-2482	14	19	letting	let	VERB
iajs-2482	14	20	that	that	SCONJ
iajs-2482	14	21	ζ	ζ	NOUN
iajs-2482	14	22	=	=	SYM
iajs-2482	14	23	1	1	NUM
iajs-2482	14	24	which	which	PRON
iajs-2482	14	25	is	be	AUX
iajs-2482	14	26	given	give	VERB
iajs-2482	14	27	by	by	ADP
iajs-2482	14	28	the	the	DET
iajs-2482	14	29	following	follow	VERB
iajs-2482	14	30	probability	probability	NOUN
iajs-2482	14	31	density	density	NOUN
iajs-2482	14	32	function	function	NOUN
iajs-2482	14	33	[	[	X
iajs-2482	14	34	2	2	NUM
iajs-2482	14	35	]	]	PUNCT
iajs-2482	14	36	.	.	PUNCT
iajs-2482	15	1	ibn	ibn	PROPN
iajs-2482	15	2	al	al	PROPN
iajs-2482	15	3	haitham	haitham	PROPN
iajs-2482	15	4	journal	journal	PROPN
iajs-2482	15	5	for	for	ADP
iajs-2482	15	6	pure	pure	ADJ
iajs-2482	15	7	and	and	CCONJ
iajs-2482	15	8	applied	apply	VERB
iajs-2482	15	9	science	science	NOUN
iajs-2482	15	10	journal	journal	PROPN
iajs-2482	15	11	homepage	homepage	NOUN
iajs-2482	15	12	:	:	PUNCT
iajs-2482	15	13	http://jih.uobaghdad.edu.iq/index.php/j/index	http://jih.uobaghdad.edu.iq/index.php/j/index	NOUN
iajs-2482	15	14	doi	doi	NOUN
iajs-2482	15	15	:	:	PUNCT
iajs-2482	15	16	10.30526/33.3.2482	10.30526/33.3.2482	PROPN
iajs-2482	15	17	article	article	NOUN
iajs-2482	15	18	history	history	NOUN
iajs-2482	15	19	:	:	PUNCT
iajs-2482	15	20	received	receive	VERB
iajs-2482	15	21	11	11	NUM
iajs-2482	15	22	november	november	PROPN
iajs-2482	15	23	2019	2019	NUM
iajs-2482	15	24	,	,	PUNCT
iajs-2482	15	25	accepted	accept	VERB
iajs-2482	15	26	15	15	NUM
iajs-2482	15	27	december	december	PROPN
iajs-2482	15	28	2019	2019	NUM
iajs-2482	15	29	,	,	PUNCT
iajs-2482	15	30	published	publish	VERB
iajs-2482	15	31	in	in	ADP
iajs-2482	15	32	july	july	PROPN
iajs-2482	15	33	2020	2020	NUM
iajs-2482	15	34	.	.	PUNCT
iajs-2482	15	35	  	  	SPACE
iajs-2482	16	1	168	168	NUM
iajs-2482	16	2	ibn	ibn	PROPN
iajs-2482	16	3	al	al	PROPN
iajs-2482	16	4	-	-	PUNCT
iajs-2482	16	5	haitham	haitham	PROPN
iajs-2482	16	6	jour	jour	X
iajs-2482	16	7	.	.	PROPN
iajs-2482	16	8	for	for	ADP
iajs-2482	16	9	pure	pure	ADJ
iajs-2482	16	10	&	&	CCONJ
iajs-2482	16	11	appl	appl	PROPN
iajs-2482	16	12	.	.	PUNCT
iajs-2482	17	1	sci	sci	PROPN
iajs-2482	17	2	.	.	PROPN
iajs-2482	18	1	33	33	NUM
iajs-2482	18	2	(	(	PUNCT
iajs-2482	18	3	3	3	NUM
iajs-2482	18	4	)	)	PUNCT
iajs-2482	18	5	2020	2020	NUM
iajs-2482	18	6	f	f	PROPN
iajs-2482	18	7	t	t	PROPN
iajs-2482	18	8	;	;	PUNCT
iajs-2482	18	9	φ	φ	PROPN
iajs-2482	18	10	φ	φ	PROPN
iajs-2482	18	11	exp	exp	PROPN
iajs-2482	18	12	t	t	PROPN
iajs-2482	18	13	φ	φ	PROPN
iajs-2482	18	14	1	1	NUM
iajs-2482	18	15	e	e	NOUN
iajs-2482	18	16	;	;	PUNCT
iajs-2482	18	17	t	t	PROPN
iajs-2482	18	18	0	0	NUM
iajs-2482	18	19	,	,	PUNCT
iajs-2482	18	20	φ	φ	PROPN
iajs-2482	18	21	>	>	X
iajs-2482	18	22	0	0	PUNCT
iajs-2482	19	1	(	(	PUNCT
iajs-2482	19	2	1	1	X
iajs-2482	19	3	)	)	PUNCT
iajs-2482	19	4	the	the	DET
iajs-2482	19	5	corresponding	corresponding	ADJ
iajs-2482	19	6	cumulative	cumulative	ADJ
iajs-2482	19	7	distribution	distribution	NOUN
iajs-2482	19	8	function	function	NOUN
iajs-2482	19	9	f(t	f(t	NOUN
iajs-2482	19	10	)	)	PUNCT
iajs-2482	19	11	and	and	CCONJ
iajs-2482	19	12	reliability	reliability	NOUN
iajs-2482	19	13	or	or	CCONJ
iajs-2482	19	14	survival	survival	NOUN
iajs-2482	19	15	function	function	NOUN
iajs-2482	19	16	r(t	r(t	NOUN
iajs-2482	19	17	)	)	PUNCT
iajs-2482	19	18	of	of	ADP
iajs-2482	19	19	bg	bg	PROPN
iajs-2482	19	20	distribution	distribution	NOUN
iajs-2482	19	21	are	be	AUX
iajs-2482	19	22	given	give	VERB
iajs-2482	19	23	by	by	ADP
iajs-2482	19	24	:	:	PUNCT
iajs-2482	19	25	f	f	PROPN
iajs-2482	19	26	t	t	PROPN
iajs-2482	19	27	1	1	NUM
iajs-2482	19	28	exp	exp	NOUN
iajs-2482	19	29	φ	φ	PROPN
iajs-2482	19	30	1	1	NUM
iajs-2482	19	31	e	e	NOUN
iajs-2482	19	32	;	;	PUNCT
iajs-2482	19	33	t	t	PROPN
iajs-2482	19	34	0	0	NUM
iajs-2482	19	35	r	r	NOUN
iajs-2482	19	36	(	(	PUNCT
iajs-2482	19	37	t	t	PROPN
iajs-2482	19	38	)	)	PUNCT
iajs-2482	19	39	f	f	PROPN
iajs-2482	19	40	t	t	PROPN
iajs-2482	19	41	exp	exp	PROPN
iajs-2482	19	42	φ	φ	PROPN
iajs-2482	19	43	1	1	NUM
iajs-2482	19	44	e	e	NOUN
iajs-2482	19	45	;	;	PUNCT
iajs-2482	19	46	t	t	PROPN
iajs-2482	19	47	0	0	NUM
iajs-2482	19	48	2	2	NUM
iajs-2482	19	49	.	.	PUNCT
iajs-2482	19	50	maximum	maximum	ADJ
iajs-2482	19	51	likelihood	likelihood	NOUN
iajs-2482	19	52	estimator	estimator	NOUN
iajs-2482	19	53	of	of	ADP
iajs-2482	19	54	the	the	DET
iajs-2482	19	55	shape	shape	NOUN
iajs-2482	19	56	parameter	parameter	NOUN
iajs-2482	19	57	(	(	PUNCT
iajs-2482	19	58	φ	φ	NOUN
iajs-2482	19	59	)	)	PUNCT
iajs-2482	19	60	assume	assume	VERB
iajs-2482	19	61	that	that	SCONJ
iajs-2482	19	62	,	,	PUNCT
iajs-2482	19	63	t1	t1	NOUN
iajs-2482	19	64	,	,	PUNCT
iajs-2482	19	65	t2	t2	NOUN
iajs-2482	19	66	,	,	PUNCT
iajs-2482	19	67	...	...	PUNCT
iajs-2482	19	68	,	,	PUNCT
iajs-2482	19	69	tn	tn	PROPN
iajs-2482	19	70	is	be	AUX
iajs-2482	19	71	the	the	DET
iajs-2482	19	72	set	set	NOUN
iajs-2482	19	73	of	of	ADP
iajs-2482	19	74	n	n	CCONJ
iajs-2482	19	75	random	random	ADJ
iajs-2482	19	76	lifetimes	lifetime	NOUN
iajs-2482	19	77	from	from	ADP
iajs-2482	19	78	the	the	DET
iajs-2482	19	79	bg	bg	PROPN
iajs-2482	19	80	distribution	distribution	NOUN
iajs-2482	19	81	defined	define	VERB
iajs-2482	19	82	by	by	ADP
iajs-2482	19	83	equation	equation	NOUN
iajs-2482	19	84	(	(	PUNCT
iajs-2482	19	85	1	1	NUM
iajs-2482	19	86	)	)	PUNCT
iajs-2482	19	87	,	,	PUNCT
iajs-2482	19	88	the	the	DET
iajs-2482	19	89	likelihood	likelihood	NOUN
iajs-2482	19	90	function	function	NOUN
iajs-2482	19	91	for	for	ADP
iajs-2482	19	92	the	the	DET
iajs-2482	19	93	sample	sample	NOUN
iajs-2482	19	94	observation	observation	NOUN
iajs-2482	19	95	will	will	AUX
iajs-2482	19	96	be	be	AUX
iajs-2482	19	97	as	as	SCONJ
iajs-2482	19	98	follows	follow	VERB
iajs-2482	19	99	[	[	X
iajs-2482	19	100	3	3	NUM
iajs-2482	19	101	]	]	PUNCT
iajs-2482	19	102	.	.	PUNCT
iajs-2482	20	1	l	l	PROPN
iajs-2482	20	2	t	t	PROPN
iajs-2482	20	3	,	,	PUNCT
iajs-2482	20	4	t	t	PROPN
iajs-2482	20	5	,	,	PUNCT
iajs-2482	20	6	.	.	PUNCT
iajs-2482	20	7	.	.	PUNCT
iajs-2482	20	8	.	.	PUNCT
iajs-2482	21	1	,	,	PUNCT
iajs-2482	21	2	t	t	PROPN
iajs-2482	21	3	;	;	PUNCT
iajs-2482	21	4	φ	φ	PROPN
iajs-2482	21	5	f	f	PROPN
iajs-2482	21	6	t	t	PROPN
iajs-2482	21	7	;	;	PUNCT
iajs-2482	21	8	φ	φ	PROPN
iajs-2482	21	9	l	l	PROPN
iajs-2482	21	10	t	t	PROPN
iajs-2482	21	11	,	,	PUNCT
iajs-2482	21	12	t	t	PROPN
iajs-2482	21	13	,	,	PUNCT
iajs-2482	21	14	.	.	PUNCT
iajs-2482	21	15	.	.	PUNCT
iajs-2482	21	16	.	.	PUNCT
iajs-2482	22	1	,	,	PUNCT
iajs-2482	22	2	t	t	PROPN
iajs-2482	22	3	;	;	PUNCT
iajs-2482	22	4	φ	φ	PROPN
iajs-2482	22	5	φ	φ	PROPN
iajs-2482	22	6	exp	exp	PROPN
iajs-2482	22	7	∑	∑	PROPN
iajs-2482	22	8	t	t	PROPN
iajs-2482	22	9	φ	φ	PROPN
iajs-2482	22	10	∑	∑	PROPN
iajs-2482	22	11	1	1	NUM
iajs-2482	22	12	e	e	X
iajs-2482	22	13	(	(	PUNCT
iajs-2482	22	14	2	2	X
iajs-2482	22	15	)	)	PUNCT
iajs-2482	22	16	assume	assume	VERB
iajs-2482	22	17	that	that	SCONJ
iajs-2482	22	18	𝜕	𝜕	NOUN
iajs-2482	22	19	𝜕φ	𝜕φ	NOUN
iajs-2482	22	20	ln	ln	PROPN
iajs-2482	22	21	l	l	PROPN
iajs-2482	22	22	t	t	NOUN
iajs-2482	22	23	;	;	PUNCT
iajs-2482	22	24	φ	φ	PROPN
iajs-2482	22	25	0	0	NUM
iajs-2482	23	1	the	the	DET
iajs-2482	23	2	mle	mle	PROPN
iajs-2482	23	3	of	of	ADP
iajs-2482	23	4	φ	φ	PROPN
iajs-2482	23	5	becomes	become	VERB
iajs-2482	23	6	φ	φ	PROPN
iajs-2482	23	7	n	n	PROPN
iajs-2482	23	8	t	t	PROPN
iajs-2482	23	9	3	3	NUM
iajs-2482	23	10	where	where	SCONJ
iajs-2482	23	11	t	t	NOUN
iajs-2482	23	12	=	=	PUNCT
iajs-2482	23	13	∑	∑	PROPN
iajs-2482	23	14	1	1	NUM
iajs-2482	23	15	e	e	NOUN
iajs-2482	23	16	based	base	VERB
iajs-2482	23	17	on	on	ADP
iajs-2482	23	18	the	the	DET
iajs-2482	23	19	invariant	invariant	ADJ
iajs-2482	23	20	property	property	NOUN
iajs-2482	23	21	of	of	ADP
iajs-2482	23	22	the	the	DET
iajs-2482	23	23	mle	mle	NOUN
iajs-2482	23	24	,	,	PUNCT
iajs-2482	23	25	the	the	DET
iajs-2482	23	26	mle	mle	NOUN
iajs-2482	23	27	for	for	ADP
iajs-2482	23	28	r(t	r(t	NOUN
iajs-2482	23	29	)	)	PUNCT
iajs-2482	23	30	will	will	AUX
iajs-2482	23	31	be	be	AUX
iajs-2482	23	32	as	as	SCONJ
iajs-2482	23	33	follows	follow	VERB
iajs-2482	23	34	r	r	NOUN
iajs-2482	23	35	(	(	PUNCT
iajs-2482	23	36	t	t	NOUN
iajs-2482	23	37	)	)	PUNCT
iajs-2482	23	38	=	=	PROPN
iajs-2482	23	39	exp	exp	PROPN
iajs-2482	23	40	φ	φ	PROPN
iajs-2482	23	41	1	1	NUM
iajs-2482	23	42	e	e	X
iajs-2482	23	43	(	(	PUNCT
iajs-2482	23	44	4	4	NUM
iajs-2482	23	45	)	)	PUNCT
iajs-2482	23	46	3	3	NUM
iajs-2482	23	47	.	.	PUNCT
iajs-2482	24	1	bayesian	bayesian	NOUN
iajs-2482	24	2	estimation	estimation	NOUN
iajs-2482	24	3	we	we	PRON
iajs-2482	24	4	provide	provide	VERB
iajs-2482	24	5	a	a	DET
iajs-2482	24	6	bayesian	bayesian	NOUN
iajs-2482	24	7	estimation	estimation	NOUN
iajs-2482	24	8	method	method	NOUN
iajs-2482	24	9	for	for	ADP
iajs-2482	24	10	r(t	r(t	NOUN
iajs-2482	24	11	)	)	PUNCT
iajs-2482	24	12	of	of	ADP
iajs-2482	24	13	bg	bg	PROPN
iajs-2482	24	14	distribution	distribution	NOUN
iajs-2482	24	15	,	,	PUNCT
iajs-2482	24	16	including	include	VERB
iajs-2482	24	17	noninformative	noninformative	ADJ
iajs-2482	24	18	and	and	CCONJ
iajs-2482	24	19	informative	informative	ADJ
iajs-2482	24	20	priors	prior	NOUN
iajs-2482	24	21	.	.	PUNCT
iajs-2482	25	1	3.1	3.1	NUM
iajs-2482	25	2	posterior	posterior	ADJ
iajs-2482	25	3	density	density	NOUN
iajs-2482	25	4	functions	function	NOUN
iajs-2482	25	5	using	use	VERB
iajs-2482	25	6	jeffreys	jeffrey	NOUN
iajs-2482	25	7	prior	prior	ADV
iajs-2482	25	8	in	in	ADP
iajs-2482	25	9	this	this	DET
iajs-2482	25	10	subsection	subsection	NOUN
iajs-2482	25	11	,	,	PUNCT
iajs-2482	25	12	φ	φ	PROPN
iajs-2482	25	13	will	will	AUX
iajs-2482	25	14	be	be	AUX
iajs-2482	25	15	assumed	assume	VERB
iajs-2482	25	16	has	have	AUX
iajs-2482	25	17	non	non	ADJ
iajs-2482	25	18	-	-	ADJ
iajs-2482	25	19	informative	informative	ADJ
iajs-2482	25	20	prior	prior	ADJ
iajs-2482	25	21	density	density	NOUN
iajs-2482	25	22	defined	define	VERB
iajs-2482	25	23	as	as	ADP
iajs-2482	25	24	using	use	VERB
iajs-2482	25	25	jeffreys	jeffreys	PROPN
iajs-2482	25	26	prior	prior	ADJ
iajs-2482	25	27	information	information	NOUN
iajs-2482	25	28	as	as	SCONJ
iajs-2482	25	29	follows	follow	VERB
iajs-2482	25	30	[	[	X
iajs-2482	25	31	4	4	NUM
iajs-2482	25	32	]	]	PUNCT
iajs-2482	25	33	.	.	PUNCT
iajs-2482	26	1	g	g	PROPN
iajs-2482	26	2	φ	φ	PROPN
iajs-2482	26	3	∝	∝	PROPN
iajs-2482	27	1	i	i	PRON
iajs-2482	27	2	φ	φ	VERB
iajs-2482	27	3	where	where	SCONJ
iajs-2482	27	4	i	i	PRON
iajs-2482	27	5	φ	φ	PROPN
iajs-2482	27	6	represents	represent	VERB
iajs-2482	27	7	fisher	fisher	PROPN
iajs-2482	27	8	information	information	NOUN
iajs-2482	27	9	[	[	X
iajs-2482	27	10	5	5	NUM
iajs-2482	27	11	]	]	PUNCT
iajs-2482	27	12	.	.	PUNCT
iajs-2482	28	1	that	that	PRON
iajs-2482	28	2	is	be	AUX
iajs-2482	28	3	given	give	VERB
iajs-2482	28	4	by	by	ADP
iajs-2482	28	5	:	:	PUNCT
iajs-2482	28	6	i	i	PROPN
iajs-2482	28	7	φ	φ	PROPN
iajs-2482	28	8	ne	ne	PROPN
iajs-2482	28	9	therefore	therefore	ADV
iajs-2482	28	10	,	,	PUNCT
iajs-2482	28	11	g	g	PROPN
iajs-2482	28	12	φ	φ	PROPN
iajs-2482	28	13	k	k	PROPN
iajs-2482	28	14	ne	ne	PROPN
iajs-2482	28	15	∂	∂	PROPN
iajs-2482	28	16	lnf	lnf	PROPN
iajs-2482	28	17	t	t	PROPN
iajs-2482	28	18	;	;	PUNCT
iajs-2482	28	19	φ	φ	PROPN
iajs-2482	28	20	∂φ	∂φ	PROPN
iajs-2482	28	21	,	,	PUNCT
iajs-2482	28	22	k	k	PROPN
iajs-2482	28	23	is	be	AUX
iajs-2482	28	24	a	a	DET
iajs-2482	28	25	constant	constant	ADJ
iajs-2482	28	26	5	5	NUM
iajs-2482	28	27	taking	take	VERB
iajs-2482	28	28	the	the	DET
iajs-2482	28	29	natural	natural	ADJ
iajs-2482	28	30	logarithm	logarithm	NOUN
iajs-2482	28	31	for	for	ADP
iajs-2482	28	32	p.d.f	p.d.f	PROPN
iajs-2482	28	33	.	.	PUNCT
iajs-2482	28	34	of	of	ADP
iajs-2482	28	35	bg	bg	PROPN
iajs-2482	28	36	distribution	distribution	NOUN
iajs-2482	28	37	and	and	CCONJ
iajs-2482	28	38	taking	take	VERB
iajs-2482	28	39	the	the	DET
iajs-2482	28	40	second	second	ADJ
iajs-2482	28	41	partial	partial	ADJ
iajs-2482	28	42	derivative	derivative	NOUN
iajs-2482	28	43	with	with	ADP
iajs-2482	28	44	respect	respect	NOUN
iajs-2482	28	45	to	to	ADP
iajs-2482	28	46	φ	φ	NUM
iajs-2482	28	47	,	,	PUNCT
iajs-2482	28	48	gives	give	VERB
iajs-2482	28	49	:	:	PUNCT
iajs-2482	28	50	e	e	PROPN
iajs-2482	28	51	∂	∂	PROPN
iajs-2482	28	52	lnf	lnf	PROPN
iajs-2482	28	53	t	t	PROPN
iajs-2482	28	54	;	;	PUNCT
iajs-2482	28	55	φ	φ	PROPN
iajs-2482	28	56	∂φ	∂φ	PROPN
iajs-2482	28	57	1	1	NUM
iajs-2482	28	58	φ	φ	NOUN
iajs-2482	28	59	after	after	ADP
iajs-2482	28	60	substitution	substitution	NOUN
iajs-2482	28	61	into	into	ADP
iajs-2482	28	62	eq	eq	NOUN
iajs-2482	28	63	.	.	PUNCT
iajs-2482	29	1	(	(	PUNCT
iajs-2482	29	2	5	5	NUM
iajs-2482	29	3	)	)	PUNCT
iajs-2482	29	4	yields	yield	NOUN
iajs-2482	29	5	,	,	PUNCT
iajs-2482	29	6	  	  	SPACE
iajs-2482	29	7	169	169	NUM
iajs-2482	29	8	ibn	ibn	PROPN
iajs-2482	29	9	al	al	PROPN
iajs-2482	29	10	-	-	PUNCT
iajs-2482	29	11	haitham	haitham	PROPN
iajs-2482	29	12	jour	jour	X
iajs-2482	29	13	.	.	PROPN
iajs-2482	30	1	for	for	ADP
iajs-2482	30	2	pure	pure	ADJ
iajs-2482	30	3	&	&	CCONJ
iajs-2482	30	4	appl	appl	PROPN
iajs-2482	30	5	.	.	PUNCT
iajs-2482	31	1	sci	sci	PROPN
iajs-2482	31	2	.	.	PROPN
iajs-2482	32	1	33	33	NUM
iajs-2482	32	2	(	(	PUNCT
iajs-2482	32	3	3	3	NUM
iajs-2482	32	4	)	)	PUNCT
iajs-2482	32	5	2020	2020	NUM
iajs-2482	32	6	g	g	PROPN
iajs-2482	32	7	φ	φ	PROPN
iajs-2482	32	8	k	k	PROPN
iajs-2482	32	9	φ	φ	PROPN
iajs-2482	32	10	√n	√n	PROPN
iajs-2482	32	11	,	,	PUNCT
iajs-2482	32	12	φ	φ	PROPN
iajs-2482	32	13	0	0	PUNCT
iajs-2482	32	14	in	in	ADP
iajs-2482	32	15	general	general	ADJ
iajs-2482	32	16	,	,	PUNCT
iajs-2482	32	17	the	the	DET
iajs-2482	32	18	posterior	posterior	ADJ
iajs-2482	32	19	probability	probability	NOUN
iajs-2482	32	20	density	density	NOUN
iajs-2482	32	21	function	function	NOUN
iajs-2482	32	22	of	of	ADP
iajs-2482	32	23	unknown	unknown	ADJ
iajs-2482	32	24	parameter	parameter	NOUN
iajs-2482	32	25	φ	φ	PROPN
iajs-2482	32	26	with	with	ADP
iajs-2482	32	27	prior	prior	ADJ
iajs-2482	32	28	g	g	PROPN
iajs-2482	32	29	φ	φ	PROPN
iajs-2482	32	30	can	can	AUX
iajs-2482	32	31	be	be	AUX
iajs-2482	32	32	expressed	express	VERB
iajs-2482	32	33	as	as	ADP
iajs-2482	32	34	form	form	NOUN
iajs-2482	32	35	:	:	PUNCT
iajs-2482	33	1	π	π	PROPN
iajs-2482	33	2	φ	φ	PROPN
iajs-2482	33	3	t	t	PROPN
iajs-2482	33	4	l	l	PROPN
iajs-2482	33	5	t	t	PROPN
iajs-2482	33	6	,	,	PUNCT
iajs-2482	33	7	t	t	PROPN
iajs-2482	33	8	,	,	PUNCT
iajs-2482	33	9	.	.	PUNCT
iajs-2482	33	10	.	.	PUNCT
iajs-2482	34	1	.	.	PUNCT
iajs-2482	35	1	,	,	PUNCT
iajs-2482	35	2	t	t	PROPN
iajs-2482	35	3	;	;	PUNCT
iajs-2482	35	4	φ	φ	PROPN
iajs-2482	35	5	g	g	PROPN
iajs-2482	35	6	φ	φ	PROPN
iajs-2482	35	7	l	l	PROPN
iajs-2482	35	8	t	t	PROPN
iajs-2482	35	9	,	,	PUNCT
iajs-2482	35	10	t	t	PROPN
iajs-2482	35	11	,	,	PUNCT
iajs-2482	35	12	.	.	PUNCT
iajs-2482	35	13	.	.	PUNCT
iajs-2482	36	1	.	.	PUNCT
iajs-2482	37	1	,	,	PUNCT
iajs-2482	37	2	t	t	PROPN
iajs-2482	37	3	;	;	PUNCT
iajs-2482	37	4	φ	φ	PROPN
iajs-2482	37	5	g	g	PROPN
iajs-2482	37	6	φ	φ	PROPN
iajs-2482	37	7	dφ	dφ	ADP
iajs-2482	37	8	∀	∀	NOUN
iajs-2482	37	9	6	6	NUM
iajs-2482	37	10	after	after	ADP
iajs-2482	37	11	substituting	substitute	VERB
iajs-2482	37	12	into	into	ADP
iajs-2482	37	13	eq.(6	eq.(6	NOUN
iajs-2482	37	14	)	)	PUNCT
iajs-2482	37	15	,	,	PUNCT
iajs-2482	37	16	the	the	DET
iajs-2482	37	17	posterior	posterior	ADJ
iajs-2482	37	18	density	density	NOUN
iajs-2482	37	19	function	function	NOUN
iajs-2482	37	20	based	base	VERB
iajs-2482	37	21	on	on	ADP
iajs-2482	37	22	jeffreys	jeffreys	PROPN
iajs-2482	37	23	prior	prior	ADV
iajs-2482	37	24	to	to	PART
iajs-2482	37	25	become	become	VERB
iajs-2482	38	1	π	π	PROPN
iajs-2482	38	2	φ	φ	PROPN
iajs-2482	38	3	t	t	PROPN
iajs-2482	38	4	φ	φ	PROPN
iajs-2482	38	5	e	e	PROPN
iajs-2482	38	6	∑	∑	PROPN
iajs-2482	38	7	φ	φ	X
iajs-2482	38	8	e	e	X
iajs-2482	38	9	∑	∑	PROPN
iajs-2482	38	10	dφ	dφ	ADP
iajs-2482	38	11	p	p	NOUN
iajs-2482	38	12	φ	φ	X
iajs-2482	38	13	e	e	NOUN
iajs-2482	38	14	г	г	PROPN
iajs-2482	38	15	n	n	CCONJ
iajs-2482	38	16	where	where	SCONJ
iajs-2482	38	17	,	,	PUNCT
iajs-2482	38	18	p=	p=	ADJ
iajs-2482	38	19	∑	∑	PUNCT
iajs-2482	38	20	e	e	PROPN
iajs-2482	38	21	1	1	NUM
iajs-2482	38	22	=	=	SYM
iajs-2482	38	23	-t	-t	X
iajs-2482	38	24	the	the	DET
iajs-2482	38	25	posterior	posterior	ADJ
iajs-2482	38	26	density	density	NOUN
iajs-2482	38	27	π	π	PROPN
iajs-2482	38	28	φ	φ	PROPN
iajs-2482	38	29	t	t	PROPN
iajs-2482	38	30	is	be	AUX
iajs-2482	38	31	a	a	DET
iajs-2482	38	32	gamma	gamma	NOUN
iajs-2482	38	33	distribution	distribution	NOUN
iajs-2482	38	34	,	,	PUNCT
iajs-2482	38	35	i.e.	i.e.	X
iajs-2482	38	36	φ|t	φ|t	X
iajs-2482	38	37	,	,	PUNCT
iajs-2482	38	38	…	…	PUNCT
iajs-2482	38	39	,	,	PUNCT
iajs-2482	38	40	t	t	NOUN
iajs-2482	38	41	~gamma	~gamma	NUM
iajs-2482	38	42	n	n	CCONJ
iajs-2482	38	43	,	,	PUNCT
iajs-2482	38	44	p	p	X
iajs-2482	38	45	,	,	PUNCT
iajs-2482	38	46	with	with	ADP
iajs-2482	38	47	e	e	NOUN
iajs-2482	38	48	φ|t	φ|t	NOUN
iajs-2482	38	49	,	,	PUNCT
iajs-2482	38	50	…	…	PUNCT
iajs-2482	38	51	,	,	PUNCT
iajs-2482	38	52	t	t	PROPN
iajs-2482	38	53	;	;	PUNCT
iajs-2482	38	54	ver	ver	NOUN
iajs-2482	38	55	φ|t	φ|t	NOUN
iajs-2482	38	56	,	,	PUNCT
iajs-2482	38	57	…	…	PUNCT
iajs-2482	38	58	,	,	PUNCT
iajs-2482	38	59	t	t	PROPN
iajs-2482	38	60	3.2	3.2	NUM
iajs-2482	38	61	posterior	posterior	ADJ
iajs-2482	38	62	density	density	NOUN
iajs-2482	38	63	functions	function	NOUN
iajs-2482	38	64	using	use	VERB
iajs-2482	38	65	gamma	gamma	NOUN
iajs-2482	38	66	distribution	distribution	NOUN
iajs-2482	38	67	[	[	X
iajs-2482	38	68	6	6	NUM
iajs-2482	38	69	]	]	PUNCT
iajs-2482	38	70	.	.	PUNCT
iajs-2482	39	1	suppose	suppose	VERB
iajs-2482	39	2	that	that	SCONJ
iajs-2482	39	3	φ	φ	PROPN
iajs-2482	39	4	is	be	AUX
iajs-2482	39	5	distributed	distribute	VERB
iajs-2482	39	6	gamma	gamma	NOUN
iajs-2482	39	7	as	as	ADP
iajs-2482	39	8	a	a	DET
iajs-2482	39	9	prior	prior	ADJ
iajs-2482	39	10	distribution	distribution	NOUN
iajs-2482	39	11	with	with	ADP
iajs-2482	39	12	the	the	DET
iajs-2482	39	13	following	follow	VERB
iajs-2482	39	14	p.d.f	p.d.f	ADJ
iajs-2482	39	15	g	g	PROPN
iajs-2482	39	16	(	(	PUNCT
iajs-2482	39	17	φ	φ	NOUN
iajs-2482	39	18	)	)	PUNCT
iajs-2482	39	19	=	=	PUNCT
iajs-2482	39	20	φ	φ	PROPN
iajs-2482	39	21	e	e	PROPN
iajs-2482	39	22	;	;	PUNCT
iajs-2482	39	23	φ	φ	PROPN
iajs-2482	39	24	0	0	NUM
iajs-2482	39	25	,	,	PUNCT
iajs-2482	39	26	α	α	X
iajs-2482	39	27	,	,	PUNCT
iajs-2482	39	28	β	β	X
iajs-2482	39	29	0	0	NUM
iajs-2482	39	30	7	7	NUM
iajs-2482	39	31	now	now	ADV
iajs-2482	39	32	,	,	PUNCT
iajs-2482	39	33	the	the	DET
iajs-2482	39	34	posterior	posterior	ADJ
iajs-2482	39	35	density	density	NOUN
iajs-2482	39	36	functions	function	NOUN
iajs-2482	39	37	using	use	VERB
iajs-2482	39	38	gamma	gamma	NOUN
iajs-2482	39	39	distribution	distribution	NOUN
iajs-2482	39	40	can	can	AUX
iajs-2482	39	41	be	be	AUX
iajs-2482	39	42	obtained	obtain	VERB
iajs-2482	39	43	by	by	ADP
iajs-2482	39	44	combining	combine	VERB
iajs-2482	39	45	eq	eq	ADP
iajs-2482	39	46	.	.	PUNCT
iajs-2482	40	1	(	(	PUNCT
iajs-2482	40	2	2	2	NUM
iajs-2482	40	3	)	)	PUNCT
iajs-2482	40	4	with	with	ADP
iajs-2482	40	5	eq	eq	NOUN
iajs-2482	40	6	.	.	PUNCT
iajs-2482	41	1	(	(	PUNCT
iajs-2482	41	2	7	7	NUM
iajs-2482	41	3	)	)	PUNCT
iajs-2482	41	4	in	in	ADP
iajs-2482	41	5	eq	eq	ADP
iajs-2482	41	6	.	.	PUNCT
iajs-2482	42	1	(	(	PUNCT
iajs-2482	42	2	6	6	NUM
iajs-2482	42	3	)	)	PUNCT
iajs-2482	42	4	,	,	PUNCT
iajs-2482	42	5	as	as	SCONJ
iajs-2482	42	6	follows	follow	VERB
iajs-2482	42	7	:	:	PUNCT
iajs-2482	42	8	π	π	NOUN
iajs-2482	42	9	φ|t	φ|t	VERB
iajs-2482	43	1	∑	∑	ADV
iajs-2482	43	2	∑	∑	ADV
iajs-2482	43	3	after	after	ADP
iajs-2482	43	4	simplification	simplification	NOUN
iajs-2482	43	5	,	,	PUNCT
iajs-2482	43	6	we	we	PRON
iajs-2482	43	7	get	get	VERB
iajs-2482	44	1	:	:	PUNCT
iajs-2482	44	2	π	π	NOUN
iajs-2482	44	3	φ|t	φ|t	NOUN
iajs-2482	44	4	notice	notice	VERB
iajs-2482	44	5	that	that	SCONJ
iajs-2482	44	6	the	the	DET
iajs-2482	44	7	posterior	posterior	NOUN
iajs-2482	44	8	p.d.f	p.d.f	ADJ
iajs-2482	44	9	.	.	PUNCT
iajs-2482	44	10	of	of	ADP
iajs-2482	44	11	the	the	DET
iajs-2482	44	12	parameter	parameter	PROPN
iajs-2482	44	13	φ	φ	PROPN
iajs-2482	44	14	is	be	AUX
iajs-2482	44	15	a	a	DET
iajs-2482	44	16	gamma	gamma	NOUN
iajs-2482	44	17	distribution	distribution	NOUN
iajs-2482	44	18	,	,	PUNCT
iajs-2482	44	19	i.e.	i.e.	X
iajs-2482	44	20	φ|t	φ|t	X
iajs-2482	44	21	~	~	NOUN
iajs-2482	44	22	gamma	gamma	NOUN
iajs-2482	44	23	n	n	PROPN
iajs-2482	44	24	α	α	PROPN
iajs-2482	44	25	,	,	PUNCT
iajs-2482	44	26	β	β	PROPN
iajs-2482	44	27	t	t	NOUN
iajs-2482	44	28	,	,	PUNCT
iajs-2482	44	29	with	with	ADP
iajs-2482	44	30	e	e	NOUN
iajs-2482	44	31	φ|t	φ|t	NOUN
iajs-2482	44	32	,	,	PUNCT
iajs-2482	44	33	var	var	NOUN
iajs-2482	44	34	φ|t	φ|t	X
iajs-2482	44	35	.	.	PUNCT
iajs-2482	45	1	3	3	X
iajs-2482	45	2	.	.	SYM
iajs-2482	45	3	3	3	NUM
iajs-2482	45	4	posterior	posterior	ADJ
iajs-2482	45	5	density	density	NOUN
iajs-2482	45	6	functions	function	NOUN
iajs-2482	45	7	using	use	VERB
iajs-2482	45	8	inverted	inverted	ADJ
iajs-2482	45	9	levy	levy	NOUN
iajs-2482	45	10	prior	prior	ADV
iajs-2482	45	11	assume	assume	VERB
iajs-2482	45	12	that	that	SCONJ
iajs-2482	45	13	φ	φ	PROPN
iajs-2482	45	14	has	have	AUX
iajs-2482	45	15	inverted	invert	VERB
iajs-2482	45	16	levy	levy	NOUN
iajs-2482	45	17	prior	prior	ADV
iajs-2482	45	18	with	with	ADP
iajs-2482	45	19	hyper	hyper	ADJ
iajs-2482	45	20	-	-	NOUN
iajs-2482	45	21	parameter	parameter	NOUN
iajs-2482	45	22	b	b	NOUN
iajs-2482	45	23	with	with	ADP
iajs-2482	45	24	the	the	DET
iajs-2482	45	25	following	following	NOUN
iajs-2482	45	26	p.d.f	p.d.f	NOUN
iajs-2482	45	27	.	.	PUNCT
iajs-2482	46	1	[	[	X
iajs-2482	46	2	7	7	NUM
iajs-2482	46	3	]	]	PUNCT
iajs-2482	46	4	.	.	PUNCT
iajs-2482	47	1	g	g	PROPN
iajs-2482	47	2	φ	φ	PROPN
iajs-2482	47	3	𝜑	𝜑	PROPN
iajs-2482	47	4	𝑒	𝑒	PROPN
iajs-2482	47	5	,	,	PUNCT
iajs-2482	47	6	φ	φ	PROPN
iajs-2482	47	7	0	0	NUM
iajs-2482	47	8	,	,	PUNCT
iajs-2482	47	9	𝑏	𝑏	PROPN
iajs-2482	47	10	0	0	NUM
iajs-2482	48	1	(	(	PUNCT
iajs-2482	48	2	8)	8)	NUM
iajs-2482	48	3	combining	combine	VERB
iajs-2482	48	4	eq	eq	NOUN
iajs-2482	48	5	.	.	PUNCT
iajs-2482	49	1	(	(	PUNCT
iajs-2482	49	2	2	2	NUM
iajs-2482	49	3	)	)	PUNCT
iajs-2482	49	4	with	with	ADP
iajs-2482	49	5	eq	eq	NOUN
iajs-2482	49	6	.	.	PUNCT
iajs-2482	50	1	(	(	PUNCT
iajs-2482	50	2	8)	8)	NUM
iajs-2482	50	3	into	into	ADP
iajs-2482	50	4	eq	eq	NOUN
iajs-2482	50	5	.	.	PUNCT
iajs-2482	51	1	(	(	PUNCT
iajs-2482	51	2	6	6	NUM
iajs-2482	51	3	)	)	PUNCT
iajs-2482	51	4	,	,	PUNCT
iajs-2482	51	5	yields	yield	VERB
iajs-2482	51	6	the	the	DET
iajs-2482	51	7	posterior	posterior	ADJ
iajs-2482	51	8	probability	probability	NOUN
iajs-2482	51	9	density	density	NOUN
iajs-2482	51	10	function	function	NOUN
iajs-2482	51	11	of	of	ADP
iajs-2482	51	12	the	the	DET
iajs-2482	51	13	shape	shape	NOUN
iajs-2482	51	14	parameter	parameter	NOUN
iajs-2482	51	15	φ	φ	PROPN
iajs-2482	51	16	as	as	ADP
iajs-2482	51	17	the	the	DET
iajs-2482	51	18	following	follow	VERB
iajs-2482	51	19	π	π	PROPN
iajs-2482	51	20	φ|t	φ|t	NOUN
iajs-2482	52	1	after	after	ADP
iajs-2482	52	2	simplification	simplification	NOUN
iajs-2482	52	3	,	,	PUNCT
iajs-2482	52	4	it	it	PRON
iajs-2482	52	5	yields	yield	VERB
iajs-2482	52	6	π	π	NOUN
iajs-2482	52	7	φ|t	φ|t	VERB
iajs-2482	53	1	the	the	DET
iajs-2482	53	2	posterior	posterior	ADJ
iajs-2482	53	3	p.d.f	p.d.f	NOUN
iajs-2482	53	4	.	.	PUNCT
iajs-2482	53	5	of	of	ADP
iajs-2482	53	6	the	the	DET
iajs-2482	53	7	parameter	parameter	PROPN
iajs-2482	53	8	φ	φ	PROPN
iajs-2482	53	9	is	be	AUX
iajs-2482	53	10	gamma	gamma	NOUN
iajs-2482	53	11	distribution	distribution	NOUN
iajs-2482	53	12	,	,	PUNCT
iajs-2482	53	13	i.e.	i.e.	X
iajs-2482	53	14	  	  	SPACE
iajs-2482	53	15	170	170	NUM
iajs-2482	53	16	ibn	ibn	PROPN
iajs-2482	53	17	al	al	PROPN
iajs-2482	53	18	-	-	PUNCT
iajs-2482	53	19	haitham	haitham	PROPN
iajs-2482	53	20	jour	jour	X
iajs-2482	53	21	.	.	PROPN
iajs-2482	54	1	for	for	ADP
iajs-2482	54	2	pure	pure	ADJ
iajs-2482	54	3	&	&	CCONJ
iajs-2482	54	4	appl	appl	PROPN
iajs-2482	54	5	.	.	PUNCT
iajs-2482	55	1	sci	sci	PROPN
iajs-2482	55	2	.	.	PROPN
iajs-2482	56	1	33	33	NUM
iajs-2482	56	2	(	(	PUNCT
iajs-2482	56	3	3	3	NUM
iajs-2482	56	4	)	)	PUNCT
iajs-2482	56	5	2020	2020	NUM
iajs-2482	56	6	𝜑|𝑡~𝐺𝑎𝑚𝑚𝑎	𝜑|𝑡~𝐺𝑎𝑚𝑚𝑎	NUM
iajs-2482	56	7	𝑛	𝑛	PROPN
iajs-2482	56	8	,	,	PUNCT
iajs-2482	56	9	𝑇	𝑇	PROPN
iajs-2482	56	10	,	,	PUNCT
iajs-2482	56	11	with	with	ADP
iajs-2482	56	12	e	e	PROPN
iajs-2482	56	13	𝜑|t	𝜑|t	NOUN
iajs-2482	56	14	,	,	PUNCT
iajs-2482	56	15	var	var	VERB
iajs-2482	56	16	𝜑|t~𝜑	𝜑|t~𝜑	NOUN
iajs-2482	56	17	.	.	PUNCT
iajs-2482	57	1	where	where	SCONJ
iajs-2482	57	2	t	t	NOUN
iajs-2482	57	3	=	=	PUNCT
iajs-2482	57	4	∑	∑	PROPN
iajs-2482	57	5	1	1	NUM
iajs-2482	57	6	e	e	ADP
iajs-2482	57	7	4.1	4.1	NUM
iajs-2482	57	8	bayes	bayes	PROPN
iajs-2482	57	9	estimation	estimation	NOUN
iajs-2482	57	10	under	under	ADP
iajs-2482	57	11	general	general	ADJ
iajs-2482	57	12	entropy	entropy	NOUN
iajs-2482	57	13	error	error	NOUN
iajs-2482	57	14	loss	loss	NOUN
iajs-2482	57	15	function	function	NOUN
iajs-2482	57	16	(	(	PUNCT
iajs-2482	57	17	gelf	gelf	NOUN
iajs-2482	57	18	)	)	PUNCT
iajs-2482	57	19	in	in	ADP
iajs-2482	57	20	many	many	ADJ
iajs-2482	57	21	practical	practical	ADJ
iajs-2482	57	22	situations	situation	NOUN
iajs-2482	57	23	,	,	PUNCT
iajs-2482	57	24	it	it	PRON
iajs-2482	57	25	appears	appear	VERB
iajs-2482	57	26	more	more	ADV
iajs-2482	57	27	realistic	realistic	ADJ
iajs-2482	57	28	to	to	PART
iajs-2482	57	29	express	express	VERB
iajs-2482	57	30	the	the	DET
iajs-2482	57	31	loss	loss	NOUN
iajs-2482	57	32	function	function	NOUN
iajs-2482	57	33	in	in	ADP
iajs-2482	57	34	terms	term	NOUN
iajs-2482	57	35	of	of	ADP
iajs-2482	57	36	the	the	DET
iajs-2482	57	37	ratio	ratio	NOUN
iajs-2482	57	38	φ∕	φ∕	ADP
iajs-2482	57	39	φ	φ	PROPN
iajs-2482	57	40	.	.	PUNCT
iajs-2482	58	1	in	in	ADP
iajs-2482	58	2	this	this	DET
iajs-2482	58	3	case	case	NOUN
iajs-2482	58	4	,	,	PUNCT
iajs-2482	58	5	a	a	DET
iajs-2482	58	6	useful	useful	ADJ
iajs-2482	58	7	asymmetric	asymmetric	ADJ
iajs-2482	58	8	loss	loss	NOUN
iajs-2482	58	9	function	function	NOUN
iajs-2482	58	10	is	be	AUX
iajs-2482	58	11	the	the	DET
iajs-2482	58	12	general	general	ADJ
iajs-2482	58	13	entropy	entropy	NOUN
iajs-2482	58	14	proposed	propose	VERB
iajs-2482	58	15	by	by	ADP
iajs-2482	58	16	calabria	calabria	NOUN
iajs-2482	58	17	and	and	CCONJ
iajs-2482	58	18	pulcini	pulcini	PROPN
iajs-2482	58	19	(	(	PUNCT
iajs-2482	58	20	1996	1996	NUM
iajs-2482	58	21	)	)	PUNCT
iajs-2482	59	1	[	[	X
iajs-2482	59	2	8	8	NUM
iajs-2482	59	3	]	]	PUNCT
iajs-2482	59	4	.	.	PUNCT
iajs-2482	60	1	l	l	PROPN
iajs-2482	60	2	φ	φ	PROPN
iajs-2482	60	3	,	,	PUNCT
iajs-2482	60	4	φ	φ	PROPN
iajs-2482	60	5	w	w	PROPN
iajs-2482	60	6	φ	φ	PROPN
iajs-2482	60	7	φ	φ	PROPN
iajs-2482	60	8	s	s	PROPN
iajs-2482	60	9	ln	ln	PROPN
iajs-2482	60	10	φ	φ	PROPN
iajs-2482	60	11	φ	φ	PROPN
iajs-2482	60	12	1	1	NUM
iajs-2482	60	13	;	;	PUNCT
iajs-2482	60	14	w˃0	w˃0	PROPN
iajs-2482	60	15	,	,	PUNCT
iajs-2482	60	16	s	s	PROPN
iajs-2482	60	17	0	0	NUM
iajs-2482	60	18	where	where	SCONJ
iajs-2482	60	19	minimum	minimum	ADJ
iajs-2482	60	20	value	value	NOUN
iajs-2482	60	21	occurs	occur	VERB
iajs-2482	60	22	when	when	SCONJ
iajs-2482	60	23	φ=	φ=	ADV
iajs-2482	60	24	φ	φ	X
iajs-2482	60	25	.	.	PUNCT
iajs-2482	61	1	when	when	SCONJ
iajs-2482	61	2	(	(	PUNCT
iajs-2482	61	3	s	s	X
iajs-2482	61	4	˃0	˃0	NOUN
iajs-2482	61	5	)	)	PUNCT
iajs-2482	61	6	,	,	PUNCT
iajs-2482	61	7	a	a	DET
iajs-2482	61	8	positive	positive	ADJ
iajs-2482	61	9	error	error	NOUN
iajs-2482	61	10	(	(	PUNCT
iajs-2482	61	11	φ˃	φ˃	NOUN
iajs-2482	61	12	φ	φ	NUM
iajs-2482	61	13	)	)	PUNCT
iajs-2482	61	14	causes	cause	VERB
iajs-2482	61	15	more	more	ADV
iajs-2482	61	16	serious	serious	ADJ
iajs-2482	61	17	consequences	consequence	NOUN
iajs-2482	61	18	than	than	ADP
iajs-2482	61	19	a	a	DET
iajs-2482	61	20	negative	negative	ADJ
iajs-2482	61	21	error	error	NOUN
iajs-2482	61	22	.	.	PUNCT
iajs-2482	62	1	without	without	ADP
iajs-2482	62	2	any	any	DET
iajs-2482	62	3	loss	loss	NOUN
iajs-2482	62	4	of	of	ADP
iajs-2482	62	5	generality	generality	NOUN
iajs-2482	62	6	,	,	PUNCT
iajs-2482	62	7	it	it	PRON
iajs-2482	62	8	can	can	AUX
iajs-2482	62	9	be	be	AUX
iajs-2482	62	10	assumed	assume	VERB
iajs-2482	62	11	that	that	SCONJ
iajs-2482	62	12	,	,	PUNCT
iajs-2482	62	13	w	w	PROPN
iajs-2482	62	14	=	=	SYM
iajs-2482	62	15	1	1	X
iajs-2482	62	16	.	.	PUNCT
iajs-2482	63	1	then	then	ADV
iajs-2482	63	2	,	,	PUNCT
iajs-2482	63	3	the	the	DET
iajs-2482	63	4	risk	risk	NOUN
iajs-2482	63	5	function	function	NOUN
iajs-2482	63	6	under	under	ADP
iajs-2482	63	7	the	the	DET
iajs-2482	63	8	general	general	ADJ
iajs-2482	63	9	entropy	entropy	NOUN
iajs-2482	63	10	loss	loss	NOUN
iajs-2482	63	11	function	function	NOUN
iajs-2482	63	12	is	be	AUX
iajs-2482	63	13	denoted	denote	VERB
iajs-2482	63	14	by	by	ADP
iajs-2482	63	15	r	r	PROPN
iajs-2482	63	16	φ	φ	PROPN
iajs-2482	63	17	,	,	PUNCT
iajs-2482	63	18	φ	φ	PROPN
iajs-2482	63	19	.	.	PUNCT
iajs-2482	64	1	r	r	NOUN
iajs-2482	64	2	φ	φ	PROPN
iajs-2482	64	3	,	,	PUNCT
iajs-2482	64	4	φ	φ	PROPN
iajs-2482	64	5	e	e	PROPN
iajs-2482	64	6	l	l	PROPN
iajs-2482	64	7	φ	φ	PROPN
iajs-2482	64	8	,	,	PUNCT
iajs-2482	64	9	φ	φ	PROPN
iajs-2482	64	10	let	let	VERB
iajs-2482	64	11	w	w	NOUN
iajs-2482	64	12	=	=	SYM
iajs-2482	64	13	1	1	NUM
iajs-2482	64	14	,	,	PUNCT
iajs-2482	64	15	then	then	ADV
iajs-2482	64	16	r	r	PROPN
iajs-2482	64	17	φ	φ	PROPN
iajs-2482	64	18	,	,	PUNCT
iajs-2482	64	19	φ	φ	PROPN
iajs-2482	64	20	φ	φ	PROPN
iajs-2482	64	21	φ	φ	PROPN
iajs-2482	64	22	sln	sln	PROPN
iajs-2482	64	23	φ	φ	PROPN
iajs-2482	64	24	φ	φ	PROPN
iajs-2482	64	25	1	1	PROPN
iajs-2482	64	26	π	π	PROPN
iajs-2482	64	27	φ	φ	PROPN
iajs-2482	64	28	t	t	PROPN
iajs-2482	64	29	d	d	PROPN
iajs-2482	64	30	φ	φ	PROPN
iajs-2482	64	31	∂r	∂r	PROPN
iajs-2482	64	32	φ	φ	PROPN
iajs-2482	64	33	,	,	PUNCT
iajs-2482	64	34	φ	φ	PROPN
iajs-2482	64	35	∂φ	∂φ	PROPN
iajs-2482	64	36	s	s	PROPN
iajs-2482	64	37	φ	φ	PROPN
iajs-2482	64	38	φ	φ	PROPN
iajs-2482	64	39	φ	φ	PROPN
iajs-2482	64	40	s	s	PROPN
iajs-2482	64	41	φ	φ	PROPN
iajs-2482	64	42	π	π	NOUN
iajs-2482	64	43	φ|t	φ|t	PUNCT
iajs-2482	65	1	d	d	X
iajs-2482	65	2	φ	φ	PROPN
iajs-2482	65	3	the	the	DET
iajs-2482	65	4	value	value	NOUN
iajs-2482	65	5	of	of	ADP
iajs-2482	65	6	φ	φ	PROPN
iajs-2482	65	7	minimizes	minimize	VERB
iajs-2482	65	8	the	the	DET
iajs-2482	65	9	risk	risk	NOUN
iajs-2482	65	10	function	function	NOUN
iajs-2482	65	11	under	under	ADP
iajs-2482	65	12	general	general	ADJ
iajs-2482	65	13	entropy	entropy	NOUN
iajs-2482	65	14	loss	loss	NOUN
iajs-2482	65	15	function	function	NOUN
iajs-2482	65	16	  	  	SPACE
iajs-2482	65	17	which	which	PRON
iajs-2482	65	18	satisfies	satisfy	VERB
iajs-2482	65	19	the	the	DET
iajs-2482	65	20	following	follow	VERB
iajs-2482	65	21	condition	condition	NOUN
iajs-2482	65	22	:	:	PUNCT
iajs-2482	66	1	∂r	∂r	PROPN
iajs-2482	66	2	φ	φ	PROPN
iajs-2482	66	3	,	,	PUNCT
iajs-2482	66	4	φ	φ	PROPN
iajs-2482	66	5	∂φ	∂φ	PROPN
iajs-2482	66	6	0	0	NUM
iajs-2482	66	7	s	s	PART
iajs-2482	66	8	φ	φ	PROPN
iajs-2482	66	9	e	e	PROPN
iajs-2482	66	10	1	1	NUM
iajs-2482	66	11	φ	φ	NUM
iajs-2482	66	12	|t	|t	PROPN
iajs-2482	66	13	s	s	PROPN
iajs-2482	66	14	φ	φ	PROPN
iajs-2482	66	15	0	0	NUM
iajs-2482	66	16	φ	φ	PROPN
iajs-2482	67	1	|	|	ADV
iajs-2482	67	2	accordingly	accordingly	ADV
iajs-2482	67	3	,	,	PUNCT
iajs-2482	67	4	r	r	NOUN
iajs-2482	67	5	t	t	NOUN
iajs-2482	67	6	|	|	ADV
iajs-2482	67	7	9	9	NUM
iajs-2482	67	8	the	the	DET
iajs-2482	67	9	bayes	bayes	PROPN
iajs-2482	67	10	estimator	estimator	NOUN
iajs-2482	67	11	for	for	ADP
iajs-2482	67	12	reliability	reliability	NOUN
iajs-2482	67	13	function	function	NOUN
iajs-2482	67	14	under	under	ADP
iajs-2482	67	15	jefferys	jefferys	NOUN
iajs-2482	67	16	prior	prior	ADV
iajs-2482	67	17	can	can	AUX
iajs-2482	67	18	be	be	AUX
iajs-2482	67	19	derived	derive	VERB
iajs-2482	67	20	as	as	SCONJ
iajs-2482	67	21	follows	follow	VERB
iajs-2482	67	22	e	e	NOUN
iajs-2482	67	23	1	1	NUM
iajs-2482	67	24	r	r	NOUN
iajs-2482	67	25	t	t	NOUN
iajs-2482	67	26	|t	|t	VERB
iajs-2482	67	27	p	p	PROPN
iajs-2482	67	28	e	e	PROPN
iajs-2482	67	29	φ	φ	X
iajs-2482	67	30	e	e	X
iajs-2482	67	31	dφ	dφ	ADP
iajs-2482	67	32	г	г	PROPN
iajs-2482	67	33	n	n	PRON
iajs-2482	67	34	p	p	NOUN
iajs-2482	67	35	p	p	X
iajs-2482	67	36	s	s	PART
iajs-2482	67	37	1	1	NUM
iajs-2482	67	38	e	e	NOUN
iajs-2482	67	39	p	p	NOUN
iajs-2482	67	40	s	s	PART
iajs-2482	67	41	1	1	NUM
iajs-2482	67	42	e	e	NOUN
iajs-2482	67	43	φ	φ	X
iajs-2482	67	44	e	e	PROPN
iajs-2482	67	45	г	г	PROPN
iajs-2482	67	46	n	n	PROPN
iajs-2482	67	47	d	d	PROPN
iajs-2482	67	48	φ	φ	X
iajs-2482	67	49	e	e	PROPN
iajs-2482	67	50	1	1	NUM
iajs-2482	67	51	r	r	NOUN
iajs-2482	67	52	t	t	NOUN
iajs-2482	67	53	|t	|t	VERB
iajs-2482	68	1	p	p	PROPN
iajs-2482	68	2	p	p	X
iajs-2482	68	3	s	s	PART
iajs-2482	68	4	1	1	NUM
iajs-2482	68	5	e	e	SYM
iajs-2482	68	6	10	10	NUM
iajs-2482	68	7	  	  	SPACE
iajs-2482	68	8	171	171	NUM
iajs-2482	68	9	ibn	ibn	PROPN
iajs-2482	68	10	al	al	PROPN
iajs-2482	68	11	-	-	PUNCT
iajs-2482	68	12	haitham	haitham	PROPN
iajs-2482	68	13	jour	jour	X
iajs-2482	68	14	.	.	PROPN
iajs-2482	68	15	for	for	ADP
iajs-2482	68	16	pure	pure	ADJ
iajs-2482	68	17	&	&	CCONJ
iajs-2482	68	18	appl	appl	PROPN
iajs-2482	68	19	.	.	PUNCT
iajs-2482	69	1	sci	sci	PROPN
iajs-2482	69	2	.	.	PROPN
iajs-2482	70	1	33	33	NUM
iajs-2482	70	2	(	(	PUNCT
iajs-2482	70	3	3	3	NUM
iajs-2482	70	4	)	)	PUNCT
iajs-2482	70	5	2020	2020	NUM
iajs-2482	70	6	after	after	ADP
iajs-2482	70	7	substituting	substitute	VERB
iajs-2482	70	8	eq	eq	ADP
iajs-2482	70	9	.	.	PUNCT
iajs-2482	71	1	(	(	PUNCT
iajs-2482	71	2	10	10	NUM
iajs-2482	71	3	)	)	PUNCT
iajs-2482	71	4	into	into	ADP
iajs-2482	71	5	eq	eq	NOUN
iajs-2482	71	6	.	.	PUNCT
iajs-2482	72	1	(	(	PUNCT
iajs-2482	72	2	9	9	NUM
iajs-2482	72	3	)	)	PUNCT
iajs-2482	72	4	,	,	PUNCT
iajs-2482	72	5	we	we	PRON
iajs-2482	72	6	will	will	AUX
iajs-2482	72	7	get	get	VERB
iajs-2482	72	8	the	the	DET
iajs-2482	72	9	bayes	bayes	PROPN
iajs-2482	72	10	estimator	estimator	NOUN
iajs-2482	72	11	for	for	ADP
iajs-2482	72	12	the	the	DET
iajs-2482	72	13	r(t	r(t	NOUN
iajs-2482	72	14	)	)	PUNCT
iajs-2482	72	15	of	of	ADP
iajs-2482	72	16	bg	bg	PROPN
iajs-2482	72	17	distribution	distribution	NOUN
iajs-2482	72	18	under	under	ADP
iajs-2482	72	19	the	the	DET
iajs-2482	72	20	general	general	ADJ
iajs-2482	72	21	entropy	entropy	NOUN
iajs-2482	72	22	loss	loss	NOUN
iajs-2482	72	23	function	function	NOUN
iajs-2482	72	24	with	with	ADP
iajs-2482	72	25	jefferys	jefferys	NOUN
iajs-2482	72	26	prior	prior	ADV
iajs-2482	72	27	denoted	denote	VERB
iajs-2482	72	28	by	by	ADP
iajs-2482	72	29	r	r	NOUN
iajs-2482	72	30	as	as	SCONJ
iajs-2482	72	31	follow	follow	VERB
iajs-2482	72	32	:	:	PUNCT
iajs-2482	72	33	r	r	NOUN
iajs-2482	72	34	t	t	PROPN
iajs-2482	72	35	11	11	NUM
iajs-2482	72	36	)	)	PUNCT
iajs-2482	72	37	similarly	similarly	ADV
iajs-2482	72	38	,	,	PUNCT
iajs-2482	72	39	the	the	DET
iajs-2482	72	40	bayesian	bayesian	NOUN
iajs-2482	72	41	estimation	estimation	NOUN
iajs-2482	72	42	of	of	ADP
iajs-2482	72	43	reliability	reliability	NOUN
iajs-2482	72	44	function	function	NOUN
iajs-2482	72	45	under	under	ADP
iajs-2482	72	46	gamma	gamma	NOUN
iajs-2482	72	47	prior	prior	ADJ
iajs-2482	72	48	distribution	distribution	NOUN
iajs-2482	72	49	information	information	NOUN
iajs-2482	72	50	can	can	AUX
iajs-2482	72	51	be	be	AUX
iajs-2482	72	52	derived	derive	VERB
iajs-2482	72	53	as	as	SCONJ
iajs-2482	72	54	follows	follow	VERB
iajs-2482	72	55	e	e	NOUN
iajs-2482	72	56	1	1	NUM
iajs-2482	72	57	r	r	NOUN
iajs-2482	72	58	t	t	NOUN
iajs-2482	72	59	|t	|t	PROPN
iajs-2482	73	1	β	β	PROPN
iajs-2482	73	2	t	t	PROPN
iajs-2482	73	3	e	e	X
iajs-2482	73	4	φ	φ	PROPN
iajs-2482	73	5	e	e	X
iajs-2482	73	6	dφ	dφ	ADP
iajs-2482	73	7	г	г	PROPN
iajs-2482	73	8	n	n	ADV
iajs-2482	73	9	α	α	NOUN
iajs-2482	73	10	𝛽	𝛽	NOUN
iajs-2482	73	11	𝑇	𝑇	PROPN
iajs-2482	73	12	𝛽	𝛽	PROPN
iajs-2482	73	13	𝑇	𝑇	PROPN
iajs-2482	73	14	𝑠	𝑠	PROPN
iajs-2482	73	15	1	1	NUM
iajs-2482	73	16	𝑒	𝑒	PROPN
iajs-2482	73	17	𝛽	𝛽	PROPN
iajs-2482	73	18	𝑇	𝑇	PROPN
iajs-2482	73	19	𝑠	𝑠	PROPN
iajs-2482	73	20	1	1	NUM
iajs-2482	73	21	𝑒	𝑒	PROPN
iajs-2482	73	22	𝜑	𝜑	NOUN
iajs-2482	73	23	𝑒	𝑒	PROPN
iajs-2482	73	24	г	г	PROPN
iajs-2482	73	25	𝑛	𝑛	ADP
iajs-2482	73	26	𝛼	𝛼	NOUN
iajs-2482	73	27	𝑑	𝑑	NOUN
iajs-2482	73	28	𝜑	𝜑	NOUN
iajs-2482	73	29	therefore	therefore	ADV
iajs-2482	73	30	,	,	PUNCT
iajs-2482	73	31	e	e	PROPN
iajs-2482	73	32	|t	|t	PROPN
iajs-2482	73	33	(	(	PUNCT
iajs-2482	73	34	12	12	NUM
iajs-2482	73	35	)	)	PUNCT
iajs-2482	73	36	after	after	ADP
iajs-2482	73	37	substituting	substitute	VERB
iajs-2482	73	38	eq.(12	eq.(12	NOUN
iajs-2482	73	39	)	)	PUNCT
iajs-2482	73	40	into	into	ADP
iajs-2482	73	41	eq	eq	NOUN
iajs-2482	73	42	.	.	PUNCT
iajs-2482	74	1	(	(	PUNCT
iajs-2482	74	2	9	9	NUM
iajs-2482	74	3	)	)	PUNCT
iajs-2482	74	4	,	,	PUNCT
iajs-2482	74	5	it	it	PRON
iajs-2482	74	6	will	will	AUX
iajs-2482	74	7	yield	yield	VERB
iajs-2482	74	8	the	the	DET
iajs-2482	74	9	bayesian	bayesian	NOUN
iajs-2482	74	10	estimation	estimation	NOUN
iajs-2482	74	11	for	for	ADP
iajs-2482	74	12	r(t	r(t	NOUN
iajs-2482	74	13	)	)	PUNCT
iajs-2482	74	14	of	of	ADP
iajs-2482	74	15	bg	bg	PROPN
iajs-2482	74	16	distribution	distribution	NOUN
iajs-2482	74	17	under	under	ADP
iajs-2482	74	18	general	general	ADJ
iajs-2482	74	19	entropy	entropy	NOUN
iajs-2482	74	20	loss	loss	NOUN
iajs-2482	74	21	function	function	NOUN
iajs-2482	74	22	with	with	ADP
iajs-2482	74	23	assuming	assume	VERB
iajs-2482	74	24	gamma	gamma	NOUN
iajs-2482	74	25	prior	prior	ADP
iajs-2482	74	26	r	r	PROPN
iajs-2482	74	27	t	t	PROPN
iajs-2482	74	28	13	13	NUM
iajs-2482	74	29	now	now	ADV
iajs-2482	74	30	,	,	PUNCT
iajs-2482	74	31	r	r	NOUN
iajs-2482	74	32	t	t	PROPN
iajs-2482	74	33	under	under	ADP
iajs-2482	74	34	inverted	inverted	ADJ
iajs-2482	74	35	levy	levy	NOUN
iajs-2482	74	36	prior	prior	ADJ
iajs-2482	74	37	information	information	NOUN
iajs-2482	74	38	can	can	AUX
iajs-2482	74	39	be	be	AUX
iajs-2482	74	40	obtained	obtain	VERB
iajs-2482	74	41	as	as	ADP
iajs-2482	74	42	follows	follow	VERB
iajs-2482	74	43	:	:	PUNCT
iajs-2482	74	44	e	e	X
iajs-2482	74	45	|t	|t	PROPN
iajs-2482	74	46	π	π	PROPN
iajs-2482	74	47	φ	φ	PROPN
iajs-2482	74	48	t	t	PROPN
iajs-2482	75	1	d	d	PROPN
iajs-2482	75	2	φ	φ	PROPN
iajs-2482	75	3	14	14	NUM
iajs-2482	75	4	г	г	PROPN
iajs-2482	75	5	𝑑	𝑑	PROPN
iajs-2482	75	6	𝜑	𝜑	NOUN
iajs-2482	75	7	𝑏	𝑏	ADP
iajs-2482	75	8	2	2	NUM
iajs-2482	75	9	𝑇	𝑇	NOUN
iajs-2482	75	10	𝑏	𝑏	ADP
iajs-2482	75	11	2	2	NUM
iajs-2482	75	12	𝑇	𝑇	NOUN
iajs-2482	75	13	𝑠	𝑠	PROPN
iajs-2482	75	14	1	1	NUM
iajs-2482	75	15	𝑒	𝑒	ADP
iajs-2482	75	16	15	15	NUM
iajs-2482	75	17	after	after	ADP
iajs-2482	75	18	substituting	substitute	VERB
iajs-2482	75	19	eq	eq	ADP
iajs-2482	75	20	.	.	PUNCT
iajs-2482	76	1	(	(	PUNCT
iajs-2482	76	2	15	15	NUM
iajs-2482	76	3	)	)	PUNCT
iajs-2482	76	4	into	into	ADP
iajs-2482	76	5	eq.(9	eq.(9	ADJ
iajs-2482	76	6	)	)	PUNCT
iajs-2482	76	7	,	,	PUNCT
iajs-2482	76	8	the	the	DET
iajs-2482	76	9	bayesian	bayesian	NOUN
iajs-2482	76	10	estimation	estimation	NOUN
iajs-2482	76	11	for	for	ADP
iajs-2482	76	12	the	the	DET
iajs-2482	76	13	r(t	r(t	NOUN
iajs-2482	76	14	)	)	PUNCT
iajs-2482	76	15	of	of	ADP
iajs-2482	76	16	bg	bg	PROPN
iajs-2482	76	17	distribution	distribution	NOUN
iajs-2482	76	18	using	use	VERB
iajs-2482	76	19	the	the	DET
iajs-2482	76	20	general	general	ADJ
iajs-2482	76	21	entropy	entropy	NOUN
iajs-2482	76	22	loss	loss	NOUN
iajs-2482	76	23	function	function	NOUN
iajs-2482	76	24	with	with	ADP
iajs-2482	76	25	inverted	inverted	ADJ
iajs-2482	76	26	levy	levy	NOUN
iajs-2482	76	27	prior	prior	ADV
iajs-2482	76	28	was	be	AUX
iajs-2482	76	29	obtained	obtain	VERB
iajs-2482	76	30	as	as	ADP
iajs-2482	76	31	:	:	PUNCT
iajs-2482	76	32	r	r	NOUN
iajs-2482	76	33	t	t	PROPN
iajs-2482	76	34	16	16	NUM
iajs-2482	76	35	5	5	NUM
iajs-2482	76	36	.	.	PUNCT
iajs-2482	76	37	simulation	simulation	NOUN
iajs-2482	76	38	study	study	NOUN
iajs-2482	76	39	in	in	ADP
iajs-2482	76	40	this	this	DET
iajs-2482	76	41	section	section	NOUN
iajs-2482	76	42	,	,	PUNCT
iajs-2482	76	43	the	the	DET
iajs-2482	76	44	monte	monte	PROPN
iajs-2482	76	45	-	-	PUNCT
iajs-2482	76	46	carlo	carlo	PROPN
iajs-2482	76	47	simulation	simulation	NOUN
iajs-2482	76	48	was	be	AUX
iajs-2482	76	49	done	do	VERB
iajs-2482	76	50	to	to	PART
iajs-2482	76	51	compare	compare	VERB
iajs-2482	76	52	the	the	DET
iajs-2482	76	53	accuracy	accuracy	NOUN
iajs-2482	76	54	of	of	ADP
iajs-2482	76	55	the	the	DET
iajs-2482	76	56	different	different	ADJ
iajs-2482	76	57	estimators	estimator	NOUN
iajs-2482	76	58	of	of	ADP
iajs-2482	76	59	the	the	DET
iajs-2482	76	60	reliability	reliability	NOUN
iajs-2482	76	61	function	function	NOUN
iajs-2482	76	62	r(t	r(t	NOUN
iajs-2482	76	63	)	)	PUNCT
iajs-2482	76	64	for	for	ADP
iajs-2482	76	65	bg	bg	PROPN
iajs-2482	76	66	distribution	distribution	NOUN
iajs-2482	76	67	.	.	PUNCT
iajs-2482	77	1	the	the	DET
iajs-2482	77	2	process	process	NOUN
iajs-2482	77	3	(	(	PUNCT
iajs-2482	77	4	l	l	NOUN
iajs-2482	77	5	)	)	PUNCT
iajs-2482	77	6	has	have	AUX
iajs-2482	77	7	been	be	AUX
iajs-2482	77	8	repeated	repeat	VERB
iajs-2482	77	9	5000	5000	NUM
iajs-2482	77	10	times	time	NOUN
iajs-2482	77	11	with	with	ADP
iajs-2482	77	12	different	different	ADJ
iajs-2482	77	13	sample	sample	NOUN
iajs-2482	77	14	sizes	size	NOUN
iajs-2482	77	15	(	(	PUNCT
iajs-2482	77	16	n	n	NOUN
iajs-2482	77	17	=	=	SYM
iajs-2482	77	18	15	15	NUM
iajs-2482	77	19	,	,	PUNCT
iajs-2482	77	20	50	50	NUM
iajs-2482	77	21	,	,	PUNCT
iajs-2482	77	22	and100	and100	PROPN
iajs-2482	77	23	)	)	PUNCT
iajs-2482	77	24	.	.	PUNCT
iajs-2482	78	1	the	the	DET
iajs-2482	78	2	default	default	NOUN
iajs-2482	78	3	values	value	NOUN
iajs-2482	78	4	of	of	ADP
iajs-2482	78	5	shape	shape	NOUN
iajs-2482	78	6	parameter	parameter	PROPN
iajs-2482	78	7	φ	φ	PROPN
iajs-2482	78	8	were	be	AUX
iajs-2482	78	9	chosen	choose	VERB
iajs-2482	78	10	to	to	PART
iajs-2482	78	11	be	be	AUX
iajs-2482	78	12	less	less	ADV
iajs-2482	78	13	and	and	CCONJ
iajs-2482	78	14	greater	great	ADJ
iajs-2482	78	15	than	than	ADP
iajs-2482	78	16	1	1	NUM
iajs-2482	78	17	as	as	ADP
iajs-2482	78	18	φ=	φ=	NOUN
iajs-2482	78	19	0.5	0.5	NUM
iajs-2482	78	20	,	,	PUNCT
iajs-2482	78	21	3	3	NUM
iajs-2482	78	22	.	.	PUNCT
iajs-2482	79	1	different	different	ADJ
iajs-2482	79	2	values	value	NOUN
iajs-2482	79	3	of	of	ADP
iajs-2482	79	4	the	the	DET
iajs-2482	79	5	gamma	gamma	NOUN
iajs-2482	79	6	prior	prior	ADJ
iajs-2482	79	7	parameters	parameter	NOUN
iajs-2482	79	8	were	be	AUX
iajs-2482	79	9	chosen	choose	VERB
iajs-2482	79	10	as	as	ADP
iajs-2482	79	11	α	α	PROPN
iajs-2482	79	12	0.8	0.8	NUM
iajs-2482	79	13	,	,	PUNCT
iajs-2482	79	14	3	3	NUM
iajs-2482	79	15	and	and	CCONJ
iajs-2482	79	16	β	β	X
iajs-2482	79	17	0.5	0.5	NUM
iajs-2482	79	18	,	,	PUNCT
iajs-2482	79	19	3	3	NUM
iajs-2482	79	20	.	.	NOUN
iajs-2482	79	21	two	two	NUM
iajs-2482	79	22	different	different	ADJ
iajs-2482	79	23	values	value	NOUN
iajs-2482	79	24	for	for	ADP
iajs-2482	79	25	the	the	DET
iajs-2482	79	26	parameter	parameter	NOUN
iajs-2482	79	27	of	of	ADP
iajs-2482	79	28	inverted	inverted	ADJ
iajs-2482	79	29	levy	levy	NOUN
iajs-2482	79	30	prior	prior	ADV
iajs-2482	79	31	were	be	AUX
iajs-2482	79	32	chosen	choose	VERB
iajs-2482	79	33	as	as	ADP
iajs-2482	79	34	(	(	PUNCT
iajs-2482	79	35	b=0.5	b=0.5	NOUN
iajs-2482	79	36	,	,	PUNCT
iajs-2482	79	37	5	5	NUM
iajs-2482	79	38	)	)	PUNCT
iajs-2482	79	39	.	.	PUNCT
iajs-2482	80	1	the	the	DET
iajs-2482	80	2	integrated	integrate	VERB
iajs-2482	80	3	mean	mean	NOUN
iajs-2482	80	4	squared	square	VERB
iajs-2482	80	5	error	error	NOUN
iajs-2482	80	6	(	(	PUNCT
iajs-2482	80	7	imse	imse	NOUN
iajs-2482	80	8	)	)	PUNCT
iajs-2482	80	9	was	be	AUX
iajs-2482	80	10	employed	employ	VERB
iajs-2482	80	11	to	to	PART
iajs-2482	80	12	compare	compare	VERB
iajs-2482	80	13	the	the	DET
iajs-2482	80	14	accuracy	accuracy	NOUN
iajs-2482	80	15	of	of	ADP
iajs-2482	80	16	the	the	DET
iajs-2482	80	17	different	different	ADJ
iajs-2482	80	18	estimates	estimate	NOUN
iajs-2482	80	19	for	for	ADP
iajs-2482	80	20	r(t	r(t	NOUN
iajs-2482	80	21	)	)	PUNCT
iajs-2482	80	22	.	.	PUNCT
iajs-2482	81	1	imse	imse	PROPN
iajs-2482	81	2	is	be	AUX
iajs-2482	81	3	an	an	DET
iajs-2482	81	4	important	important	ADJ
iajs-2482	81	5	global	global	ADJ
iajs-2482	81	6	measure	measure	NOUN
iajs-2482	81	7	and	and	CCONJ
iajs-2482	81	8	it	it	PRON
iajs-2482	81	9	more	more	ADV
iajs-2482	81	10	accurate	accurate	ADJ
iajs-2482	81	11	than	than	ADP
iajs-2482	81	12	  	  	SPACE
iajs-2482	81	13	172	172	NUM
iajs-2482	81	14	ibn	ibn	PROPN
iajs-2482	81	15	al	al	PROPN
iajs-2482	81	16	-	-	PUNCT
iajs-2482	81	17	haitham	haitham	PROPN
iajs-2482	81	18	jour	jour	X
iajs-2482	81	19	.	.	PROPN
iajs-2482	82	1	for	for	ADP
iajs-2482	82	2	pure	pure	ADJ
iajs-2482	82	3	&	&	CCONJ
iajs-2482	82	4	appl	appl	PROPN
iajs-2482	82	5	.	.	PUNCT
iajs-2482	83	1	sci	sci	PROPN
iajs-2482	83	2	.	.	PROPN
iajs-2482	84	1	33	33	NUM
iajs-2482	84	2	(	(	PUNCT
iajs-2482	84	3	3	3	NUM
iajs-2482	84	4	)	)	PUNCT
iajs-2482	84	5	2020	2020	NUM
iajs-2482	84	6	mse	mse	NOUN
iajs-2482	84	7	which	which	PRON
iajs-2482	84	8	is	be	AUX
iajs-2482	84	9	defined	define	VERB
iajs-2482	84	10	as	as	ADP
iajs-2482	84	11	the	the	DET
iajs-2482	84	12	distance	distance	NOUN
iajs-2482	84	13	between	between	ADP
iajs-2482	84	14	the	the	DET
iajs-2482	84	15	estimated	estimate	VERB
iajs-2482	84	16	value	value	NOUN
iajs-2482	84	17	and	and	CCONJ
iajs-2482	84	18	actual	actual	ADJ
iajs-2482	84	19	value	value	NOUN
iajs-2482	84	20	of	of	ADP
iajs-2482	84	21	reliability	reliability	NOUN
iajs-2482	84	22	function	function	NOUN
iajs-2482	84	23	given	give	VERB
iajs-2482	84	24	by	by	ADP
iajs-2482	84	25	imse(r̂(t	imse(r̂(t	NOUN
iajs-2482	84	26	)	)	PUNCT
iajs-2482	84	27	)	)	PUNCT
iajs-2482	85	1	=	=	PUNCT
iajs-2482	85	2	∑	∑	PUNCT
iajs-2482	85	3	[	[	PUNCT
iajs-2482	85	4	∑	∑	INTJ
iajs-2482	85	5	(	(	PUNCT
iajs-2482	85	6	r	r	NOUN
iajs-2482	85	7	(	(	PUNCT
iajs-2482	85	8	𝑡	𝑡	PROPN
iajs-2482	85	9	)	)	PUNCT
iajs-2482	85	10	−r(𝑡	−r(𝑡	NOUN
iajs-2482	85	11	)	)	PUNCT
iajs-2482	85	12	∑	∑	PUNCT
iajs-2482	85	13	mse	mse	NOUN
iajs-2482	85	14	r	r	NOUN
iajs-2482	85	15	𝑡	𝑡	PROPN
iajs-2482	85	16	where	where	SCONJ
iajs-2482	85	17	𝑖=1	𝑖=1	PROPN
iajs-2482	85	18	,	,	PUNCT
iajs-2482	85	19	2	2	NUM
iajs-2482	85	20	,	,	PUNCT
iajs-2482	85	21	…	…	NUM
iajs-2482	85	22	,	,	PUNCT
iajs-2482	85	23	𝐿	𝐿	PROPN
iajs-2482	85	24	,	,	PUNCT
iajs-2482	85	25	𝑛	𝑛	VERB
iajs-2482	85	26	the	the	DET
iajs-2482	85	27	random	random	ADJ
iajs-2482	85	28	limits	limit	NOUN
iajs-2482	85	29	of	of	ADP
iajs-2482	85	30	𝑡	𝑡	PROPN
iajs-2482	85	31	.	.	PUNCT
iajs-2482	86	1	in	in	ADP
iajs-2482	86	2	this	this	DET
iajs-2482	86	3	paper	paper	NOUN
iajs-2482	86	4	,	,	PUNCT
iajs-2482	86	5	we	we	PRON
iajs-2482	86	6	chose	choose	VERB
iajs-2482	86	7	t	t	PROPN
iajs-2482	86	8	=	=	SYM
iajs-2482	86	9	0.1	0.1	NUM
iajs-2482	86	10	,	,	PUNCT
iajs-2482	86	11	0.2	0.2	NUM
iajs-2482	86	12	,	,	PUNCT
iajs-2482	86	13	0.3	0.3	NUM
iajs-2482	86	14	,	,	PUNCT
iajs-2482	86	15	0.4	0.4	NUM
iajs-2482	86	16	,	,	PUNCT
iajs-2482	86	17	0.5	0.5	NUM
iajs-2482	86	18	.	.	PUNCT
iajs-2482	87	1	the	the	DET
iajs-2482	87	2	results	result	NOUN
iajs-2482	87	3	were	be	AUX
iajs-2482	87	4	summarized	summarize	VERB
iajs-2482	87	5	and	and	CCONJ
iajs-2482	87	6	tabulated	tabulate	VERB
iajs-2482	87	7	in	in	ADP
iajs-2482	87	8	the	the	DET
iajs-2482	87	9	following	follow	VERB
iajs-2482	87	10	tables	table	NOUN
iajs-2482	87	11	for	for	ADP
iajs-2482	87	12	each	each	DET
iajs-2482	87	13	estimator	estimator	NOUN
iajs-2482	87	14	and	and	CCONJ
iajs-2482	87	15	for	for	ADP
iajs-2482	87	16	all	all	DET
iajs-2482	87	17	sample	sample	NOUN
iajs-2482	87	18	sizes	size	NOUN
iajs-2482	87	19	.	.	PUNCT
iajs-2482	88	1	table	table	NOUN
iajs-2482	88	2	1	1	NUM
iajs-2482	88	3	.	.	PUNCT
iajs-2482	89	1	imse	imse	PROPN
iajs-2482	89	2	's	's	PART
iajs-2482	89	3	of	of	ADP
iajs-2482	89	4	the	the	DET
iajs-2482	89	5	different	different	ADJ
iajs-2482	89	6	estimates	estimate	NOUN
iajs-2482	89	7	for	for	ADP
iajs-2482	89	8	r(t	r(t	NOUN
iajs-2482	89	9	)	)	PUNCT
iajs-2482	89	10	of	of	ADP
iajs-2482	89	11	bg	bg	PROPN
iajs-2482	89	12	distribution	distribution	NOUN
iajs-2482	89	13	under	under	ADP
iajs-2482	89	14	mle	mle	PROPN
iajs-2482	89	15	and	and	CCONJ
iajs-2482	89	16	jefferys	jeffery	NOUN
iajs-2482	89	17	prior	prior	ADV
iajs-2482	89	18	where	where	SCONJ
iajs-2482	89	19	φ	φ	PROPN
iajs-2482	89	20	0.5	0.5	NUM
iajs-2482	89	21	.	.	PUNCT
iajs-2482	89	22	estimator	estimator	NOUN
iajs-2482	89	23	n	n	ADP
iajs-2482	89	24	15	15	NUM
iajs-2482	89	25	50	50	NUM
iajs-2482	89	26	100	100	NUM
iajs-2482	89	27	𝛌𝐌𝐋	𝛌𝐌𝐋	NOUN
iajs-2482	89	28	0.0014595	0.0014595	NUM
iajs-2482	89	29	0.0003847	0.0003847	NUM
iajs-2482	89	30	0.0001869	0.0001869	NUM
iajs-2482	89	31	r	r	NOUN
iajs-2482	89	32	t	t	NOUN
iajs-2482	89	33	s=1	s=1	X
iajs-2482	89	34	0.0015166	0.0015166	NUM
iajs-2482	89	35	0.0003889	0.0003889	NUM
iajs-2482	89	36	0.0001879	0.0001879	NUM
iajs-2482	89	37	s=3	s=3	NUM
iajs-2482	89	38	0.0016452	0.0016452	NUM
iajs-2482	89	39	0.0003981	0.0003981	NUM
iajs-2482	89	40	0.0001901	0.0001901	NUM
iajs-2482	89	41	table	table	NOUN
iajs-2482	89	42	2	2	NUM
iajs-2482	89	43	.	.	PUNCT
iajs-2482	90	1	imse	imse	PROPN
iajs-2482	90	2	's	's	PART
iajs-2482	90	3	of	of	ADP
iajs-2482	90	4	the	the	DET
iajs-2482	90	5	different	different	ADJ
iajs-2482	90	6	estimates	estimate	NOUN
iajs-2482	90	7	for	for	ADP
iajs-2482	90	8	r(t	r(t	NOUN
iajs-2482	90	9	)	)	PUNCT
iajs-2482	90	10	of	of	ADP
iajs-2482	90	11	gompertz	gompertz	NOUN
iajs-2482	90	12	distribution	distribution	NOUN
iajs-2482	90	13	under	under	ADP
iajs-2482	90	14	gamma	gamma	PROPN
iajs-2482	90	15	prior	prior	ADV
iajs-2482	90	16	where	where	SCONJ
iajs-2482	90	17	φ	φ	PROPN
iajs-2482	90	18	0.5	0.5	NUM
iajs-2482	90	19	.	.	PUNCT
iajs-2482	91	1	estimator	estimator	NOUN
iajs-2482	91	2	n	n	ADP
iajs-2482	91	3	15	15	NUM
iajs-2482	91	4	50	50	NUM
iajs-2482	91	5	100	100	NUM
iajs-2482	91	6	𝜷	𝜷	NOUN
iajs-2482	91	7	𝟎.	𝟎.	X
iajs-2482	91	8	𝟓	𝟓	NUM
iajs-2482	91	9	𝜷	𝜷	NOUN
iajs-2482	91	10	𝟑	𝟑	ADP
iajs-2482	91	11	𝜷	𝜷	NOUN
iajs-2482	91	12	𝟎.	𝟎.	X
iajs-2482	91	13	𝟓	𝟓	NUM
iajs-2482	91	14	𝜷	𝜷	NOUN
iajs-2482	91	15	𝟑	𝟑	ADP
iajs-2482	91	16	𝜷	𝜷	NOUN
iajs-2482	91	17	𝟎.	𝟎.	X
iajs-2482	91	18	𝟓	𝟓	NUM
iajs-2482	91	19	𝜷	𝜷	NOUN
iajs-2482	91	20	𝟑	𝟑	NUM
iajs-2482	91	21	r	r	NOUN
iajs-2482	91	22	t	t	NOUN
iajs-2482	91	23	𝜶	𝜶	NOUN
iajs-2482	91	24	𝟎.	𝟎.	PUNCT
iajs-2482	91	25	𝟖	𝟖	X
iajs-2482	91	26	s=1	s=1	NOUN
iajs-2482	91	27	0.0013158	0.0013158	NUM
iajs-2482	91	28	0.0011254	0.0011254	NUM
iajs-2482	91	29	0.0003748	0.0003748	NUM
iajs-2482	91	30	0.0003485	0.0003485	NUM
iajs-2482	91	31	0.0001846	0.0001846	NUM
iajs-2482	91	32	0.0001774	0.0001774	NUM
iajs-2482	91	33	s=3	s=3	NUM
iajs-2482	91	34	0.0014162	0.0014162	NUM
iajs-2482	91	35	0.0010857	0.0010857	NUM
iajs-2482	91	36	0.0003832	0.0003832	NUM
iajs-2482	91	37	0.0003442	0.0003442	NUM
iajs-2482	91	38	0.0001867	0.0001867	NUM
iajs-2482	91	39	0.0001763	0.0001763	NUM
iajs-2482	91	40	𝜶	𝜶	SYM
iajs-2482	91	41	𝟑	𝟑	ADP
iajs-2482	91	42	s=1	s=1	ADP
iajs-2482	91	43	0.0022689	0.0022689	NUM
iajs-2482	91	44	0.0007777	0.0007777	NUM
iajs-2482	91	45	0.0004638	0.0004638	NUM
iajs-2482	91	46	0.0003114	0.0003114	NUM
iajs-2482	91	47	0.0002071	0.0002071	NUM
iajs-2482	91	48	0.0001679	0.0001679	NUM
iajs-2482	91	49	s=3	s=3	PUNCT
iajs-2482	91	50	0.0024683	0.0024683	NUM
iajs-2482	91	51	0.0007776	0.0007776	NUM
iajs-2482	91	52	0.0004792	0.0004792	NUM
iajs-2482	91	53	0.0003123	0.0003123	NUM
iajs-2482	91	54	0.0002108	0.0002108	NUM
iajs-2482	91	55	0.0001682	0.0001682	NUM
iajs-2482	91	56	table	table	NOUN
iajs-2482	91	57	3	3	NUM
iajs-2482	91	58	.	.	PUNCT
iajs-2482	92	1	imse	imse	PROPN
iajs-2482	92	2	's	's	PART
iajs-2482	92	3	of	of	ADP
iajs-2482	92	4	the	the	DET
iajs-2482	92	5	different	different	ADJ
iajs-2482	92	6	estimates	estimate	NOUN
iajs-2482	92	7	for	for	ADP
iajs-2482	92	8	r(t	r(t	NOUN
iajs-2482	92	9	)	)	PUNCT
iajs-2482	92	10	of	of	ADP
iajs-2482	92	11	gompertz	gompertz	NOUN
iajs-2482	92	12	distribution	distribution	NOUN
iajs-2482	92	13	under	under	ADP
iajs-2482	92	14	inverted	inverted	ADJ
iajs-2482	92	15	levy	levy	NOUN
iajs-2482	92	16	prior	prior	ADV
iajs-2482	92	17	where	where	SCONJ
iajs-2482	92	18	φ	φ	PROPN
iajs-2482	92	19	0.5	0.5	NUM
iajs-2482	92	20	.	.	PUNCT
iajs-2482	93	1	estimator	estimator	NOUN
iajs-2482	93	2	n	n	ADP
iajs-2482	93	3	15	15	NUM
iajs-2482	93	4	50	50	NUM
iajs-2482	93	5	100	100	NUM
iajs-2482	93	6	𝒃	𝒃	NOUN
iajs-2482	93	7	𝟎.	𝟎.	X
iajs-2482	93	8	𝟓	𝟓	NUM
iajs-2482	93	9	𝒃	𝒃	NOUN
iajs-2482	93	10	𝟓	𝟓	NUM
iajs-2482	93	11	𝒃	𝒃	NOUN
iajs-2482	93	12	𝟎.	𝟎.	X
iajs-2482	93	13	𝟓	𝟓	NUM
iajs-2482	93	14	𝒃	𝒃	NOUN
iajs-2482	93	15	𝟓	𝟓	NUM
iajs-2482	93	16	𝒃	𝒃	NOUN
iajs-2482	93	17	𝟎.	𝟎.	X
iajs-2482	93	18	𝟓	𝟓	NUM
iajs-2482	93	19	𝒃	𝒃	NOUN
iajs-2482	93	20	𝟓	𝟓	NUM
iajs-2482	93	21	r	r	NOUN
iajs-2482	93	22	t	t	NOUN
iajs-2482	93	23	s=1	s=1	ADP
iajs-2482	93	24	0.0015545	0.0015545	NUM
iajs-2482	93	25	0.0010174	0.0010174	NUM
iajs-2482	93	26	0.0003934	0.0003934	NUM
iajs-2482	93	27	0.0003379	0.0003379	NUM
iajs-2482	93	28	0.0001891	0.0001891	NUM
iajs-2482	93	29	0.0001748	0.0001748	NUM
iajs-2482	93	30	s=3	s=3	SYM
iajs-2482	93	31	0.0083362	0.0083362	NUM
iajs-2482	94	1	0.0105278	0.0105278	NUM
iajs-2482	94	2	0.0088036	0.0088036	NUM
iajs-2482	94	3	0.0095093	0.0095093	NUM
iajs-2482	94	4	0.0089058	0.0089058	NUM
iajs-2482	94	5	0.0092641	0.0092641	NUM
iajs-2482	94	6	table	table	NOUN
iajs-2482	94	7	4	4	NUM
iajs-2482	94	8	.	.	PUNCT
iajs-2482	95	1	imse	imse	PROPN
iajs-2482	95	2	's	's	PART
iajs-2482	95	3	of	of	ADP
iajs-2482	95	4	the	the	DET
iajs-2482	95	5	different	different	ADJ
iajs-2482	95	6	estimates	estimate	NOUN
iajs-2482	95	7	for	for	ADP
iajs-2482	95	8	r(t	r(t	NOUN
iajs-2482	95	9	)	)	PUNCT
iajs-2482	95	10	of	of	ADP
iajs-2482	95	11	gompertz	gompertz	NOUN
iajs-2482	95	12	distribution	distribution	NOUN
iajs-2482	95	13	under	under	ADP
iajs-2482	95	14	mle	mle	NOUN
iajs-2482	95	15	and	and	CCONJ
iajs-2482	95	16	jefferys	jeffery	NOUN
iajs-2482	95	17	prior	prior	ADV
iajs-2482	95	18	where	where	SCONJ
iajs-2482	95	19	φ	φ	PROPN
iajs-2482	95	20	3	3	X
iajs-2482	95	21	.	.	PUNCT
iajs-2482	95	22	estimator	estimator	NOUN
iajs-2482	95	23	n	n	ADP
iajs-2482	95	24	15	15	NUM
iajs-2482	95	25	50	50	NUM
iajs-2482	95	26	100	100	NUM
iajs-2482	95	27	𝛌𝐌𝐋	𝛌𝐌𝐋	NOUN
iajs-2482	95	28	0.0069471	0.0069471	NUM
iajs-2482	95	29	0.0021114	0.0021114	NUM
iajs-2482	95	30	0.0010669	0.0010669	NUM
iajs-2482	95	31	r	r	NOUN
iajs-2482	95	32	t	t	NOUN
iajs-2482	95	33	s=1	s=1	X
iajs-2482	95	34	0.0076524	0.0076524	NUM
iajs-2482	95	35	0.0021757	0.0021757	NUM
iajs-2482	96	1	0.0010831	0.0010831	NUM
iajs-2482	96	2	s=3	s=3	NUM
iajs-2482	96	3	0.0101046	0.0101046	NUM
iajs-2482	96	4	0.0023806	0.0023806	NUM
iajs-2482	96	5	0.0011335	0.0011335	NUM
iajs-2482	96	6	  	  	SPACE
iajs-2482	96	7	173	173	NUM
iajs-2482	96	8	ibn	ibn	PROPN
iajs-2482	96	9	al	al	PROPN
iajs-2482	96	10	-	-	PUNCT
iajs-2482	96	11	haitham	haitham	PROPN
iajs-2482	96	12	jour	jour	X
iajs-2482	96	13	.	.	PROPN
iajs-2482	96	14	for	for	ADP
iajs-2482	96	15	pure	pure	ADJ
iajs-2482	96	16	&	&	CCONJ
iajs-2482	96	17	appl	appl	PROPN
iajs-2482	96	18	.	.	PUNCT
iajs-2482	97	1	sci	sci	PROPN
iajs-2482	97	2	.	.	PROPN
iajs-2482	98	1	33	33	NUM
iajs-2482	98	2	(	(	PUNCT
iajs-2482	98	3	3	3	NUM
iajs-2482	98	4	)	)	PUNCT
iajs-2482	98	5	2020	2020	NUM
iajs-2482	98	6	table	table	NOUN
iajs-2482	98	7	5	5	NUM
iajs-2482	98	8	.	.	PUNCT
iajs-2482	99	1	imse	imse	PROPN
iajs-2482	99	2	's	's	PART
iajs-2482	99	3	of	of	ADP
iajs-2482	99	4	the	the	DET
iajs-2482	99	5	different	different	ADJ
iajs-2482	99	6	estimates	estimate	NOUN
iajs-2482	99	7	for	for	ADP
iajs-2482	99	8	r(t	r(t	NOUN
iajs-2482	99	9	)	)	PUNCT
iajs-2482	99	10	of	of	ADP
iajs-2482	99	11	gompertz	gompertz	NOUN
iajs-2482	99	12	distribution	distribution	NOUN
iajs-2482	99	13	under	under	ADP
iajs-2482	99	14	gamma	gamma	PROPN
iajs-2482	99	15	prior	prior	ADV
iajs-2482	99	16	where	where	SCONJ
iajs-2482	99	17	φ	φ	PROPN
iajs-2482	99	18	3	3	X
iajs-2482	99	19	.	.	PUNCT
iajs-2482	99	20	estimator	estimator	NOUN
iajs-2482	99	21	n	n	ADP
iajs-2482	99	22	15	15	NUM
iajs-2482	99	23	50	50	NUM
iajs-2482	99	24	100	100	NUM
iajs-2482	99	25	𝜷	𝜷	NOUN
iajs-2482	99	26	𝟎.	𝟎.	X
iajs-2482	99	27	𝟓	𝟓	NUM
iajs-2482	99	28	𝜷	𝜷	NOUN
iajs-2482	99	29	𝟑	𝟑	ADP
iajs-2482	99	30	𝜷	𝜷	NOUN
iajs-2482	99	31	𝟎.	𝟎.	X
iajs-2482	99	32	𝟓	𝟓	NUM
iajs-2482	99	33	𝜷	𝜷	NOUN
iajs-2482	99	34	𝟑	𝟑	ADP
iajs-2482	99	35	𝜷	𝜷	NOUN
iajs-2482	99	36	𝟎.	𝟎.	X
iajs-2482	99	37	𝟓	𝟓	NUM
iajs-2482	99	38	𝜷	𝜷	NOUN
iajs-2482	99	39	𝟑	𝟑	NUM
iajs-2482	99	40	r	r	NOUN
iajs-2482	99	41	t	t	NOUN
iajs-2482	99	42	𝜶	𝜶	NOUN
iajs-2482	99	43	𝟎.	𝟎.	PUNCT
iajs-2482	99	44	𝟖	𝟖	ADP
iajs-2482	99	45	s=1	s=1	ADP
iajs-2482	99	46	0.0072419	0.0072419	NUM
iajs-2482	99	47	0.0780281	0.0780281	NUM
iajs-2482	99	48	0.0021427	0.0021427	NUM
iajs-2482	99	49	0.0170420	0.0170420	NUM
iajs-2482	99	50	0.0010744	0.0010744	NUM
iajs-2482	99	51	0.0057196	0.0057196	NUM
iajs-2482	99	52	s=3	s=3	NUM
iajs-2482	99	53	0.0061791	0.0061791	NUM
iajs-2482	99	54	0.0745552	0.0745552	NUM
iajs-2482	99	55	0.0020318	0.0020318	NUM
iajs-2482	99	56	0.0159772	0.0159772	NUM
iajs-2482	99	57	0.0010458	0.0010458	NUM
iajs-2482	99	58	0.0053534	0.0053534	NUM
iajs-2482	99	59	𝜶	𝜶	SYM
iajs-2482	99	60	𝟑	𝟑	X
iajs-2482	99	61	s=1	s=1	PART
iajs-2482	99	62	0.0054667	0.0054667	NUM
iajs-2482	99	63	0.0613839	0.0613839	NUM
iajs-2482	99	64	0.0019455	0.0019455	NUM
iajs-2482	99	65	0.0140180	0.0140180	NUM
iajs-2482	99	66	0.0010227	0.0010227	NUM
iajs-2482	99	67	0.0048371	0.0048371	NUM
iajs-2482	99	68	s=3	s=3	NUM
iajs-2482	99	69	0.0059374	0.0059374	NUM
iajs-2482	99	70	0.0581128	0.0581128	NUM
iajs-2482	99	71	0.0019979	0.0019979	NUM
iajs-2482	99	72	0.0130569	0.0130569	NUM
iajs-2482	99	73	0.0010367	0.0010367	NUM
iajs-2482	99	74	0.0045065	0.0045065	NUM
iajs-2482	99	75	table	table	NOUN
iajs-2482	99	76	6	6	NUM
iajs-2482	99	77	.	.	PUNCT
iajs-2482	100	1	imse	imse	PROPN
iajs-2482	100	2	's	's	PART
iajs-2482	100	3	of	of	ADP
iajs-2482	100	4	the	the	DET
iajs-2482	100	5	different	different	ADJ
iajs-2482	100	6	estimates	estimate	NOUN
iajs-2482	100	7	for	for	ADP
iajs-2482	100	8	r(t	r(t	NOUN
iajs-2482	100	9	)	)	PUNCT
iajs-2482	100	10	of	of	ADP
iajs-2482	100	11	gompertz	gompertz	NOUN
iajs-2482	100	12	distribution	distribution	NOUN
iajs-2482	100	13	under	under	ADP
iajs-2482	100	14	inverted	inverted	ADJ
iajs-2482	100	15	levy	levy	NOUN
iajs-2482	100	16	prior	prior	ADV
iajs-2482	100	17	where	where	SCONJ
iajs-2482	100	18	φ	φ	PROPN
iajs-2482	100	19	3	3	X
iajs-2482	100	20	.	.	PUNCT
iajs-2482	100	21	estimator	estimator	NOUN
iajs-2482	100	22	n	n	ADP
iajs-2482	100	23	15	15	NUM
iajs-2482	100	24	50	50	NUM
iajs-2482	100	25	100	100	NUM
iajs-2482	100	26	𝒃	𝒃	NOUN
iajs-2482	100	27	𝟎.	𝟎.	X
iajs-2482	100	28	𝟓	𝟓	NUM
iajs-2482	100	29	𝒃	𝒃	NOUN
iajs-2482	100	30	𝟓	𝟓	NUM
iajs-2482	100	31	𝒃	𝒃	NOUN
iajs-2482	100	32	𝟎.	𝟎.	X
iajs-2482	100	33	𝟓	𝟓	NUM
iajs-2482	100	34	𝒃	𝒃	NOUN
iajs-2482	100	35	𝟓	𝟓	NUM
iajs-2482	100	36	𝒃	𝒃	NOUN
iajs-2482	100	37	𝟎.	𝟎.	X
iajs-2482	100	38	𝟓	𝟓	NUM
iajs-2482	100	39	𝒃	𝒃	NOUN
iajs-2482	100	40	𝟓	𝟓	NUM
iajs-2482	100	41	r	r	NOUN
iajs-2482	100	42	t	t	NOUN
iajs-2482	100	43	s=1	s=1	ADP
iajs-2482	100	44	0.0064792	0.0064792	NUM
iajs-2482	101	1	0.0619624	0.0619624	NUM
iajs-2482	101	2	0.0020660	0.0020660	NUM
iajs-2482	101	3	0.0121698	0.0121698	NUM
iajs-2482	101	4	0.0010553	0.0010553	NUM
iajs-2482	101	5	0.0040611	0.0040611	NUM
iajs-2482	101	6	s=3	s=3	NOUN
iajs-2482	102	1	0.0935634	0.0935634	NUM
iajs-2482	103	1	0.2011713	0.2011713	NUM
iajs-2482	103	2	0.0951978	0.0951978	NUM
iajs-2482	103	3	0.1419205	0.1419205	NUM
iajs-2482	103	4	0.0955598	0.0955598	NUM
iajs-2482	103	5	0.1212603	0.1212603	NUM
iajs-2482	103	6	6	6	NUM
iajs-2482	103	7	.	.	PUNCT
iajs-2482	103	8	results	result	VERB
iajs-2482	103	9	discussion	discussion	NOUN
iajs-2482	103	10	and	and	CCONJ
iajs-2482	103	11	analysis	analysis	NOUN
iajs-2482	103	12	the	the	DET
iajs-2482	103	13	discussion	discussion	NOUN
iajs-2482	103	14	of	of	ADP
iajs-2482	103	15	the	the	DET
iajs-2482	103	16	results	result	NOUN
iajs-2482	103	17	obtained	obtain	VERB
iajs-2482	103	18	from	from	ADP
iajs-2482	103	19	applying	apply	VERB
iajs-2482	103	20	the	the	DET
iajs-2482	103	21	simulation	simulation	NOUN
iajs-2482	103	22	study	study	NOUN
iajs-2482	103	23	can	can	AUX
iajs-2482	103	24	be	be	AUX
iajs-2482	103	25	summarized	summarize	VERB
iajs-2482	103	26	as	as	SCONJ
iajs-2482	103	27	follows	follow	VERB
iajs-2482	103	28	:	:	PUNCT
iajs-2482	104	1			NOUN
iajs-2482	104	2	when	when	SCONJ
iajs-2482	104	3	shape	shape	NOUN
iajs-2482	104	4	parameter	parameter	NOUN
iajs-2482	104	5	φ=0.5	φ=0.5	NOUN
iajs-2482	104	6	,	,	PUNCT
iajs-2482	104	7	the	the	DET
iajs-2482	104	8	bayes	bayes	PROPN
iajs-2482	104	9	estimator	estimator	NOUN
iajs-2482	104	10	under	under	ADP
iajs-2482	104	11	general	general	PROPN
iajs-2482	104	12	entropy	entropy	NOUN
iajs-2482	104	13	loss	loss	NOUN
iajs-2482	104	14	function	function	NOUN
iajs-2482	104	15	based	base	VERB
iajs-2482	104	16	on	on	ADP
iajs-2482	104	17	gamma	gamma	PROPN
iajs-2482	104	18	prior	prior	ADV
iajs-2482	104	19	,	,	PUNCT
iajs-2482	104	20	with	with	ADP
iajs-2482	104	21	(	(	PUNCT
iajs-2482	104	22	𝛼	𝛼	NOUN
iajs-2482	104	23	3	3	NUM
iajs-2482	104	24	,	,	PUNCT
iajs-2482	104	25	𝛽	𝛽	NOUN
iajs-2482	104	26	3	3	NUM
iajs-2482	104	27	,	,	PUNCT
iajs-2482	104	28	s=1	s=1	X
iajs-2482	104	29	and	and	CCONJ
iajs-2482	104	30	2	2	NUM
iajs-2482	104	31	)	)	PUNCT
iajs-2482	104	32	is	be	AUX
iajs-2482	104	33	the	the	DET
iajs-2482	104	34	best	good	ADJ
iajs-2482	104	35	estimates	estimate	NOUN
iajs-2482	104	36	for	for	ADP
iajs-2482	104	37	r(t	r(t	NOUN
iajs-2482	104	38	)	)	PUNCT
iajs-2482	104	39	in	in	ADP
iajs-2482	104	40	comparing	compare	VERB
iajs-2482	104	41	to	to	ADP
iajs-2482	104	42	other	other	ADJ
iajs-2482	104	43	estimates	estimate	NOUN
iajs-2482	104	44	for	for	ADP
iajs-2482	104	45	all	all	DET
iajs-2482	104	46	sample	sample	NOUN
iajs-2482	104	47	sizes	size	NOUN
iajs-2482	104	48	see	see	VERB
iajs-2482	104	49	tables	table	NOUN
iajs-2482	104	50	1	1	NUM
iajs-2482	104	51	,	,	PUNCT
iajs-2482	104	52	2	2	NUM
iajs-2482	104	53	,	,	PUNCT
iajs-2482	104	54	3	3	NUM
iajs-2482	104	55	.	.	PUNCT
iajs-2482	104	56			NOUN
iajs-2482	105	1	when	when	SCONJ
iajs-2482	105	2	shape	shape	VERB
iajs-2482	105	3	parameter	parameter	NOUN
iajs-2482	105	4	φ=3	φ=3	ADP
iajs-2482	105	5	,	,	PUNCT
iajs-2482	105	6	from	from	ADP
iajs-2482	105	7	tables	table	NOUN
iajs-2482	105	8	4	4	NUM
iajs-2482	105	9	,	,	PUNCT
iajs-2482	105	10	5	5	NUM
iajs-2482	105	11	,	,	PUNCT
iajs-2482	105	12	6	6	NUM
iajs-2482	105	13	.	.	PUNCT
iajs-2482	105	14	notice	notice	VERB
iajs-2482	105	15	that	that	SCONJ
iajs-2482	105	16	the	the	DET
iajs-2482	105	17	performance	performance	NOUN
iajs-2482	105	18	of	of	ADP
iajs-2482	105	19	bayes	bayes	PROPN
iajs-2482	105	20	estimator	estimator	NOUN
iajs-2482	105	21	under	under	ADP
iajs-2482	105	22	general	general	PROPN
iajs-2482	105	23	entropy	entropy	NOUN
iajs-2482	105	24	loss	loss	NOUN
iajs-2482	105	25	function	function	NOUN
iajs-2482	105	26	based	base	VERB
iajs-2482	105	27	on	on	ADP
iajs-2482	105	28	gamma	gamma	PROPN
iajs-2482	105	29	prior	prior	ADV
iajs-2482	105	30	,	,	PUNCT
iajs-2482	105	31	is	be	AUX
iajs-2482	105	32	the	the	DET
iajs-2482	105	33	best	good	ADJ
iajs-2482	105	34	with	with	ADP
iajs-2482	105	35	(	(	PUNCT
iajs-2482	105	36	𝛼	𝛼	NOUN
iajs-2482	105	37	3	3	NUM
iajs-2482	105	38	,	,	PUNCT
iajs-2482	105	39	𝛽	𝛽	NOUN
iajs-2482	105	40	0.5	0.5	NUM
iajs-2482	105	41	,	,	PUNCT
iajs-2482	105	42	s=1	s=1	NOUN
iajs-2482	105	43	)	)	PUNCT
iajs-2482	105	44	for	for	ADP
iajs-2482	105	45	all	all	DET
iajs-2482	105	46	sample	sample	NOUN
iajs-2482	105	47	sizes	size	NOUN
iajs-2482	105	48	.	.	PUNCT
iajs-2482	106	1	1	1	X
iajs-2482	106	2	.	.	X
iajs-2482	106	3	conclusion	conclusion	NOUN
iajs-2482	106	4	the	the	DET
iajs-2482	106	5	simulation	simulation	NOUN
iajs-2482	106	6	study	study	NOUN
iajs-2482	106	7	has	have	AUX
iajs-2482	106	8	shown	show	VERB
iajs-2482	106	9	that	that	SCONJ
iajs-2482	106	10	:	:	PUNCT
iajs-2482	106	11	1	1	X
iajs-2482	106	12	.	.	X
iajs-2482	106	13	in	in	ADP
iajs-2482	106	14	general	general	ADJ
iajs-2482	106	15	,	,	PUNCT
iajs-2482	106	16	bayesian	bayesian	NOUN
iajs-2482	106	17	estimation	estimation	NOUN
iajs-2482	106	18	for	for	ADP
iajs-2482	106	19	reliability	reliability	NOUN
iajs-2482	106	20	function	function	NOUN
iajs-2482	106	21	of	of	ADP
iajs-2482	106	22	basic	basic	ADJ
iajs-2482	106	23	gompertz	gompertz	NOUN
iajs-2482	106	24	distribution	distribution	NOUN
iajs-2482	106	25	with	with	ADP
iajs-2482	106	26	gamma	gamma	PROPN
iajs-2482	106	27	prior	prior	ADV
iajs-2482	106	28	is	be	AUX
iajs-2482	106	29	the	the	DET
iajs-2482	106	30	best	good	ADJ
iajs-2482	106	31	compared	compare	VERB
iajs-2482	106	32	with	with	ADP
iajs-2482	106	33	the	the	DET
iajs-2482	106	34	corresponding	corresponding	ADJ
iajs-2482	106	35	estimates	estimate	NOUN
iajs-2482	106	36	based	base	VERB
iajs-2482	106	37	on	on	ADP
iajs-2482	106	38	jeffreys	jeffreys	PROPN
iajs-2482	106	39	prior	prior	ADV
iajs-2482	106	40	and	and	CCONJ
iajs-2482	106	41	inverted	invert	VERB
iajs-2482	106	42	levy	levy	NOUN
iajs-2482	106	43	prior	prior	ADV
iajs-2482	106	44	by	by	ADP
iajs-2482	106	45	using	use	VERB
iajs-2482	106	46	the	the	DET
iajs-2482	106	47	same	same	ADJ
iajs-2482	106	48	loss	loss	NOUN
iajs-2482	106	49	function	function	NOUN
iajs-2482	106	50	(	(	PUNCT
iajs-2482	106	51	general	general	ADJ
iajs-2482	106	52	entropy	entropy	VERB
iajs-2482	106	53	loss	loss	NOUN
iajs-2482	106	54	function	function	NOUN
iajs-2482	106	55	)	)	PUNCT
iajs-2482	106	56	in	in	ADP
iajs-2482	106	57	addition	addition	NOUN
iajs-2482	106	58	to	to	ADP
iajs-2482	106	59	mle	mle	PROPN
iajs-2482	106	60	.	.	PROPN
iajs-2482	106	61	2	2	NUM
iajs-2482	106	62	.	.	X
iajs-2482	106	63	to	to	PART
iajs-2482	106	64	increase	increase	VERB
iajs-2482	106	65	the	the	DET
iajs-2482	106	66	accuracy	accuracy	NOUN
iajs-2482	106	67	of	of	ADP
iajs-2482	106	68	bayesian	bayesian	NOUN
iajs-2482	106	69	estimation	estimation	NOUN
iajs-2482	106	70	of	of	ADP
iajs-2482	106	71	r(t	r(t	NOUN
iajs-2482	106	72	)	)	PUNCT
iajs-2482	106	73	under	under	ADP
iajs-2482	106	74	general	general	ADJ
iajs-2482	106	75	entropy	entropy	NOUN
iajs-2482	106	76	loss	loss	NOUN
iajs-2482	106	77	function	function	NOUN
iajs-2482	106	78	using	use	VERB
iajs-2482	106	79	gamma	gamma	NOUN
iajs-2482	106	80	prior	prior	ADV
iajs-2482	106	81	,	,	PUNCT
iajs-2482	106	82	the	the	DET
iajs-2482	106	83	value	value	NOUN
iajs-2482	106	84	of	of	ADP
iajs-2482	106	85	scale	scale	NOUN
iajs-2482	106	86	parameter	parameter	NOUN
iajs-2482	106	87	(	(	PUNCT
iajs-2482	106	88	β	β	NOUN
iajs-2482	106	89	)	)	PUNCT
iajs-2482	106	90	of	of	ADP
iajs-2482	106	91	gamma	gamma	PROPN
iajs-2482	106	92	prior	prior	ADV
iajs-2482	106	93	should	should	AUX
iajs-2482	106	94	be	be	AUX
iajs-2482	106	95	chosen	choose	VERB
iajs-2482	106	96	to	to	PART
iajs-2482	106	97	be	be	AUX
iajs-2482	106	98	inversely	inversely	ADV
iajs-2482	106	99	proportional	proportional	ADJ
iajs-2482	106	100	to	to	ADP
iajs-2482	106	101	the	the	DET
iajs-2482	106	102	value	value	NOUN
iajs-2482	106	103	of	of	ADP
iajs-2482	106	104	the	the	DET
iajs-2482	106	105	shape	shape	NOUN
iajs-2482	106	106	parameter	parameter	NOUN
iajs-2482	106	107	of	of	ADP
iajs-2482	106	108	basic	basic	ADJ
iajs-2482	106	109	gompertz	gompertz	NOUN
iajs-2482	106	110	distribution	distribution	NOUN
iajs-2482	106	111	(	(	PUNCT
iajs-2482	106	112	φ	φ	NOUN
iajs-2482	106	113	)	)	PUNCT
iajs-2482	106	114	.	.	PUNCT
iajs-2482	107	1	references	reference	NOUN
iajs-2482	107	2	1	1	NUM
iajs-2482	107	3	.	.	PUNCT
iajs-2482	107	4	moala	moala	PROPN
iajs-2482	107	5	,	,	PUNCT
iajs-2482	107	6	f.a	f.a	PROPN
iajs-2482	107	7	.	.	PROPN
iajs-2482	107	8	;	;	PUNCT
iajs-2482	107	9	dey	dey	PROPN
iajs-2482	107	10	,	,	PUNCT
iajs-2482	107	11	s.	s.	PROPN
iajs-2482	107	12	objective	objective	NOUN
iajs-2482	107	13	and	and	CCONJ
iajs-2482	107	14	subjective	subjective	ADJ
iajs-2482	107	15	prior	prior	ADJ
iajs-2482	107	16	distributions	distribution	NOUN
iajs-2482	107	17	for	for	ADP
iajs-2482	107	18	the	the	DET
iajs-2482	107	19	gompertz	gompertz	NOUN
iajs-2482	107	20	distribution	distribution	NOUN
iajs-2482	107	21	.	.	PUNCT
iajs-2482	108	1	annals	annal	NOUN
iajs-2482	108	2	of	of	ADP
iajs-2482	108	3	the	the	DET
iajs-2482	108	4	brazilian	brazilian	ADJ
iajs-2482	108	5	academy	academy	NOUN
iajs-2482	108	6	of	of	ADP
iajs-2482	108	7	sciences.2018	sciences.2018	PROPN
iajs-2482	108	8	,	,	PUNCT
iajs-2482	108	9	90	90	NUM
iajs-2482	108	10	,	,	PUNCT
iajs-2482	108	11	3	3	NUM
iajs-2482	108	12	,	,	PUNCT
iajs-2482	108	13	2643	2643	NUM
iajs-2482	108	14	-	-	SYM
iajs-2482	108	15	2661	2661	NUM
iajs-2482	108	16	.	.	PUNCT
iajs-2482	109	1	2	2	X
iajs-2482	109	2	.	.	X
iajs-2482	109	3	rasheed	rasheed	NOUN
iajs-2482	109	4	,	,	PUNCT
iajs-2482	109	5	h.a	h.a	PROPN
iajs-2482	109	6	.	.	PROPN
iajs-2482	109	7	;	;	PUNCT
iajs-2482	109	8	hasanain	hasanain	PROPN
iajs-2482	109	9	,	,	PUNCT
iajs-2482	109	10	w.s	w.s	PROPN
iajs-2482	109	11	..	..	PROPN
iajs-2482	109	12	;	;	PUNCT
iajs-2482	109	13	al	al	PROPN
iajs-2482	109	14	-	-	PUNCT
iajs-2482	109	15	obedy	obedy	PROPN
iajs-2482	109	16	's	's	PART
iajs-2482	109	17	,	,	PUNCT
iajs-2482	109	18	n.j	n.j	PROPN
iajs-2482	109	19	.	.	PROPN
iajs-2482	109	20	comparing	compare	VERB
iajs-2482	109	21	some	some	DET
iajs-2482	109	22	estimators	estimator	NOUN
iajs-2482	109	23	of	of	ADP
iajs-2482	109	24	the	the	DET
iajs-2482	109	25	parameter	parameter	NOUN
iajs-2482	109	26	of	of	ADP
iajs-2482	109	27	bg	bg	PROPN
iajs-2482	109	28	distribution	distribution	NOUN
iajs-2482	109	29	,	,	PUNCT
iajs-2482	109	30	journal	journal	NOUN
iajs-2482	109	31	of	of	ADP
iajs-2482	109	32	iraqi	iraqi	PROPN
iajs-2482	109	33	al	al	PROPN
iajs-2482	109	34	-	-	PUNCT
iajs-2482	109	35	khwarizmi	khwarizmi	PROPN
iajs-2482	109	36	society	society	NOUN
iajs-2482	109	37	(	(	PUNCT
iajs-2482	109	38	jikhs).2018	jikhs).2018	PROPN
iajs-2482	109	39	,	,	PUNCT
iajs-2482	109	40	2	2	NUM
iajs-2482	109	41	,	,	PUNCT
iajs-2482	109	42	178	178	NUM
iajs-2482	109	43	-	-	SYM
iajs-2482	109	44	187	187	NUM
iajs-2482	109	45	.	.	PUNCT
iajs-2482	109	46	  	  	SPACE
iajs-2482	110	1	174	174	NUM
iajs-2482	110	2	ibn	ibn	PROPN
iajs-2482	110	3	al	al	PROPN
iajs-2482	110	4	-	-	PUNCT
iajs-2482	110	5	haitham	haitham	PROPN
iajs-2482	110	6	jour	jour	X
iajs-2482	110	7	.	.	PROPN
iajs-2482	110	8	for	for	ADP
iajs-2482	110	9	pure	pure	ADJ
iajs-2482	110	10	&	&	CCONJ
iajs-2482	110	11	appl	appl	PROPN
iajs-2482	110	12	.	.	PUNCT
iajs-2482	111	1	sci	sci	PROPN
iajs-2482	111	2	.	.	PROPN
iajs-2482	112	1	33	33	NUM
iajs-2482	112	2	(	(	PUNCT
iajs-2482	112	3	3	3	NUM
iajs-2482	112	4	)	)	PUNCT
iajs-2482	112	5	2020	2020	NUM
iajs-2482	112	6	3	3	X
iajs-2482	112	7	.	.	PUNCT
iajs-2482	112	8	soliman	soliman	PROPN
iajs-2482	112	9	,	,	PUNCT
iajs-2482	112	10	a.a	a.a	PROPN
iajs-2482	112	11	.	.	PROPN
iajs-2482	112	12	;	;	PUNCT
iajs-2482	112	13	al	al	PROPN
iajs-2482	112	14	sobhi	sobhi	PROPN
iajs-2482	112	15	,	,	PUNCT
iajs-2482	112	16	m.m	m.m	PROPN
iajs-2482	112	17	.	.	PROPN
iajs-2482	112	18	bayesian	bayesian	PROPN
iajs-2482	112	19	mcmc	mcmc	PROPN
iajs-2482	112	20	inference	inference	PROPN
iajs-2482	112	21	for	for	ADP
iajs-2482	112	22	the	the	DET
iajs-2482	112	23	gompertz	gompertz	NOUN
iajs-2482	112	24	distribution	distribution	NOUN
iajs-2482	112	25	based	base	VERB
iajs-2482	112	26	on	on	ADP
iajs-2482	112	27	progressive	progressive	ADJ
iajs-2482	112	28	first	first	ADJ
iajs-2482	112	29	-	-	PUNCT
iajs-2482	112	30	failure	failure	NOUN
iajs-2482	112	31	censoring	censor	VERB
iajs-2482	112	32	data	datum	NOUN
iajs-2482	112	33	.	.	PUNCT
iajs-2482	113	1	the	the	DET
iajs-2482	113	2	2nd	2nd	ADJ
iajs-2482	113	3	ism	ism	NOUN
iajs-2482	113	4	international	international	ADJ
iajs-2482	113	5	statistical	statistical	ADJ
iajs-2482	113	6	conference	conference	NOUN
iajs-2482	113	7	(	(	PUNCT
iajs-2482	113	8	ism	ism	NOUN
iajs-2482	113	9	-	-	PUNCT
iajs-2482	113	10	ii	ii	NOUN
iajs-2482	113	11	)	)	PUNCT
iajs-2482	113	12	,	,	PUNCT
iajs-2482	113	13	aip	aip	PROPN
iajs-2482	113	14	conf	conf	NOUN
iajs-2482	113	15	.	.	PUNCT
iajs-2482	114	1	proc.2015	proc.2015	PROPN
iajs-2482	114	2	,	,	PUNCT
iajs-2482	114	3	1643	1643	NUM
iajs-2482	114	4	,	,	PUNCT
iajs-2482	114	5	125	125	NUM
iajs-2482	114	6	-	-	SYM
iajs-2482	114	7	134	134	NUM
iajs-2482	114	8	.	.	NOUN
iajs-2482	115	1	4	4	X
iajs-2482	115	2	.	.	X
iajs-2482	115	3	alkanani	alkanani	ADJ
iajs-2482	115	4	,	,	PUNCT
iajs-2482	115	5	i.h	i.h	PROPN
iajs-2482	115	6	.	.	PROPN
iajs-2482	115	7	;	;	PUNCT
iajs-2482	115	8	salman	salman	PROPN
iajs-2482	115	9	,	,	PUNCT
iajs-2482	115	10	s.g	s.g	PROPN
iajs-2482	115	11	.	.	PROPN
iajs-2482	115	12	bayes	bayes	PROPN
iajs-2482	115	13	and	and	CCONJ
iajs-2482	115	14	nonbayes	nonbayes	NOUN
iajs-2482	115	15	estimation	estimation	NOUN
iajs-2482	115	16	methods	method	NOUN
iajs-2482	115	17	for	for	ADP
iajs-2482	115	18	the	the	DET
iajs-2482	115	19	parameter	parameter	NOUN
iajs-2482	115	20	of	of	ADP
iajs-2482	115	21	maxwell	maxwell	PROPN
iajs-2482	115	22	-	-	PUNCT
iajs-2482	115	23	boltizmann	boltizmann	NOUN
iajs-2482	115	24	distribution	distribution	NOUN
iajs-2482	115	25	.	.	PUNCT
iajs-2482	116	1	baghdad	baghdad	PROPN
iajs-2482	116	2	science	science	PROPN
iajs-2482	116	3	journal.2017	journal.2017	PROPN
iajs-2482	116	4	,	,	PUNCT
iajs-2482	116	5	14	14	NUM
iajs-2482	116	6	,	,	PUNCT
iajs-2482	116	7	4	4	NUM
iajs-2482	116	8	,	,	PUNCT
iajs-2482	116	9	808	808	NUM
iajs-2482	116	10	-	-	SYM
iajs-2482	116	11	812	812	NUM
iajs-2482	116	12	.	.	NOUN
iajs-2482	117	1	5	5	NUM
iajs-2482	117	2	.	.	X
iajs-2482	117	3	ismail	ismail	PROPN
iajs-2482	117	4	,	,	PUNCT
iajs-2482	117	5	a.a	a.a	PROPN
iajs-2482	117	6	.	.	PROPN
iajs-2482	117	7	bayes	bayes	PROPN
iajs-2482	117	8	estimation	estimation	NOUN
iajs-2482	117	9	of	of	ADP
iajs-2482	117	10	gompertz	gompertz	NOUN
iajs-2482	117	11	distribution	distribution	NOUN
iajs-2482	117	12	parameters	parameter	NOUN
iajs-2482	117	13	and	and	CCONJ
iajs-2482	117	14	acceleration	acceleration	NOUN
iajs-2482	117	15	factor	factor	NOUN
iajs-2482	117	16	under	under	ADP
iajs-2482	117	17	partially	partially	ADV
iajs-2482	117	18	accelerated	accelerate	VERB
iajs-2482	117	19	life	life	NOUN
iajs-2482	117	20	tests	test	NOUN
iajs-2482	117	21	with	with	ADP
iajs-2482	117	22	type	type	NOUN
iajs-2482	117	23	-	-	PUNCT
iajs-2482	117	24	i	i	PRON
iajs-2482	117	25	censoring	censor	VERB
iajs-2482	117	26	.	.	PUNCT
iajs-2482	118	1	journal	journal	NOUN
iajs-2482	118	2	of	of	ADP
iajs-2482	118	3	statistical	statistical	ADJ
iajs-2482	118	4	computation	computation	NOUN
iajs-2482	118	5	and	and	CCONJ
iajs-2482	118	6	simulation.2010	simulation.2010	PROPN
iajs-2482	118	7	,	,	PUNCT
iajs-2482	118	8	80	80	NUM
iajs-2482	118	9	,	,	PUNCT
iajs-2482	118	10	11	11	NUM
iajs-2482	118	11	,	,	PUNCT
iajs-2482	118	12	1253–1264	1253–1264	NUM
iajs-2482	118	13	.	.	NOUN
iajs-2482	118	14	6	6	NUM
iajs-2482	118	15	.	.	PUNCT
iajs-2482	119	1	abu	abu	PROPN
iajs-2482	119	2	-	-	PUNCT
iajs-2482	119	3	zinadah	zinadah	PROPN
iajs-2482	119	4	,	,	PUNCT
iajs-2482	119	5	h.h	h.h	PROPN
iajs-2482	119	6	.	.	PROPN
iajs-2482	119	7	bayesian	bayesian	NOUN
iajs-2482	119	8	estimation	estimation	NOUN
iajs-2482	119	9	on	on	ADP
iajs-2482	119	10	the	the	DET
iajs-2482	119	11	exponentiated	exponentiate	VERB
iajs-2482	119	12	gompertz	gompertz	NOUN
iajs-2482	119	13	distribution	distribution	NOUN
iajs-2482	119	14	under	under	ADP
iajs-2482	119	15	type	type	NOUN
iajs-2482	119	16	ii	ii	PROPN
iajs-2482	119	17	censoring	censor	VERB
iajs-2482	119	18	.	.	PUNCT
iajs-2482	120	1	international	international	ADJ
iajs-2482	120	2	journal	journal	PROPN
iajs-2482	120	3	of	of	ADP
iajs-2482	120	4	contemporary	contemporary	PROPN
iajs-2482	120	5	mathematical	mathematical	PROPN
iajs-2482	120	6	sciences.2014	sciences.2014	PROPN
iajs-2482	120	7	,	,	PUNCT
iajs-2482	120	8	9	9	NUM
iajs-2482	120	9	,	,	PUNCT
iajs-2482	120	10	11	11	NUM
iajs-2482	120	11	,	,	PUNCT
iajs-2482	120	12	497	497	NUM
iajs-2482	120	13	505	505	NUM
iajs-2482	120	14	.	.	PUNCT
iajs-2482	121	1	7	7	X
iajs-2482	121	2	.	.	X
iajs-2482	121	3	sindhu	sindhu	PROPN
iajs-2482	121	4	,	,	PUNCT
iajs-2482	121	5	t.n	t.n	PROPN
iajs-2482	121	6	.	.	PROPN
iajs-2482	121	7	;	;	PUNCT
iajs-2482	121	8	aslam	aslam	PROPN
iajs-2482	121	9	,	,	PUNCT
iajs-2482	121	10	m.	m.	NOUN
iajs-2482	121	11	;	;	PUNCT
iajs-2482	121	12	shafiq	shafiq	PROPN
iajs-2482	121	13	,	,	PUNCT
iajs-2482	121	14	a.	a.	NOUN
iajs-2482	121	15	analysis	analysis	NOUN
iajs-2482	121	16	of	of	ADP
iajs-2482	121	17	the	the	DET
iajs-2482	121	18	left	left	ADJ
iajs-2482	121	19	censored	censor	VERB
iajs-2482	121	20	data	datum	NOUN
iajs-2482	121	21	from	from	ADP
iajs-2482	121	22	the	the	DET
iajs-2482	121	23	pareto	pareto	ADJ
iajs-2482	121	24	type	type	NOUN
iajs-2482	121	25	ii	ii	NOUN
iajs-2482	121	26	distribution	distribution	NOUN
iajs-2482	121	27	,	,	PUNCT
iajs-2482	121	28	caspian	caspian	PROPN
iajs-2482	121	29	journal	journal	NOUN
iajs-2482	121	30	of	of	ADP
iajs-2482	121	31	applied	apply	VERB
iajs-2482	121	32	sciences	sciences	PROPN
iajs-2482	121	33	research.2013	research.2013	PROPN
iajs-2482	121	34	,	,	PUNCT
iajs-2482	121	35	2	2	NUM
iajs-2482	121	36	,	,	PUNCT
iajs-2482	121	37	7	7	NUM
iajs-2482	121	38	,	,	PUNCT
iajs-2482	121	39	53	53	NUM
iajs-2482	121	40	-	-	SYM
iajs-2482	121	41	62	62	NUM
iajs-2482	121	42	.	.	PUNCT
iajs-2482	122	1	8	8	NUM
iajs-2482	122	2	.	.	X
iajs-2482	122	3	calabria	calabria	PROPN
iajs-2482	122	4	,	,	PUNCT
iajs-2482	122	5	r.	r.	PROPN
iajs-2482	122	6	;	;	PUNCT
iajs-2482	122	7	pulcini	pulcini	PROPN
iajs-2482	122	8	,	,	PUNCT
iajs-2482	122	9	g.	g.	PROPN
iajs-2482	122	10	point	point	PROPN
iajs-2482	122	11	estimation	estimation	NOUN
iajs-2482	122	12	under	under	ADP
iajs-2482	122	13	asymmetric	asymmetric	ADJ
iajs-2482	122	14	loss	loss	NOUN
iajs-2482	122	15	functions	function	NOUN
iajs-2482	122	16	for	for	ADP
iajs-2482	122	17	lefttruncated	lefttruncate	VERB
iajs-2482	122	18	exponential	exponential	ADJ
iajs-2482	122	19	samples	sample	NOUN
iajs-2482	122	20	.	.	PUNCT
iajs-2482	123	1	comm	comm	NOUN
iajs-2482	123	2	.	.	PUNCT
iajs-2482	124	1	statist.theory	statist.theory	NUM
iajs-2482	124	2	methods.1996	methods.1996	PROPN
iajs-2482	124	3	,	,	PUNCT
iajs-2482	124	4	25	25	NUM
iajs-2482	124	5	.	.	PUNCT