id	sid	tid	token	lemma	pos
iajs-3294	1	1	354	354	NUM
iajs-3294	1	2	©	©	NOUN
iajs-3294	1	3	published	publish	VERB
iajs-3294	1	4	by	by	ADP
iajs-3294	1	5	college	college	NOUN
iajs-3294	1	6	of	of	ADP
iajs-3294	1	7	education	education	NOUN
iajs-3294	1	8	for	for	ADP
iajs-3294	1	9	pure	pure	ADJ
iajs-3294	1	10	science	science	NOUN
iajs-3294	1	11	(	(	PUNCT
iajs-3294	1	12	ibn	ibn	PROPN
iajs-3294	1	13	al	al	PROPN
iajs-3294	1	14	-	-	PUNCT
iajs-3294	1	15	haitham	haitham	PROPN
iajs-3294	1	16	)	)	PUNCT
iajs-3294	1	17	,	,	PUNCT
iajs-3294	1	18	university	university	NOUN
iajs-3294	1	19	of	of	ADP
iajs-3294	1	20	baghdad	baghdad	PROPN
iajs-3294	1	21	.	.	PUNCT
iajs-3294	2	1	this	this	PRON
iajs-3294	2	2	is	be	AUX
iajs-3294	2	3	an	an	DET
iajs-3294	2	4	open	open	ADJ
iajs-3294	2	5	-	-	PUNCT
iajs-3294	2	6	access	access	NOUN
iajs-3294	2	7	article	article	NOUN
iajs-3294	2	8	distributed	distribute	VERB
iajs-3294	2	9	under	under	ADP
iajs-3294	2	10	the	the	DET
iajs-3294	2	11	terms	term	NOUN
iajs-3294	2	12	of	of	ADP
iajs-3294	2	13	the	the	DET
iajs-3294	2	14	creative	creative	ADJ
iajs-3294	2	15	commons	common	NOUN
iajs-3294	2	16	attribution	attribution	NOUN
iajs-3294	2	17	4.0	4.0	NUM
iajs-3294	2	18	international	international	ADJ
iajs-3294	2	19	license	license	NOUN
iajs-3294	2	20	bayesian	bayesian	NOUN
iajs-3294	2	21	estimation	estimation	NOUN
iajs-3294	2	22	of	of	ADP
iajs-3294	2	23	the	the	DET
iajs-3294	2	24	unknown	unknown	ADJ
iajs-3294	2	25	parameter	parameter	NOUN
iajs-3294	2	26	of	of	ADP
iajs-3294	2	27	inverse	inverse	NOUN
iajs-3294	2	28	rayleigh	rayleigh	NOUN
iajs-3294	2	29	distribution	distribution	NOUN
iajs-3294	2	30	(	(	PUNCT
iajs-3294	2	31	ird	ird	PROPN
iajs-3294	2	32	)	)	PUNCT
iajs-3294	2	33	based	base	VERB
iajs-3294	2	34	on	on	ADP
iajs-3294	2	35	gelf	gelf	PROPN
iajs-3294	2	36	jinan	jinan	PROPN
iajs-3294	2	37	a.	a.	PROPN
iajs-3294	2	38	naser	naser	PROPN
iajs-3294	2	39	al	al	PROPN
iajs-3294	2	40	-	-	PUNCT
iajs-3294	2	41	obedy	obedy	PROPN
iajs-3294	2	42	department	department	PROPN
iajs-3294	2	43	of	of	ADP
iajs-3294	2	44	quality	quality	NOUN
iajs-3294	2	45	management	management	NOUN
iajs-3294	2	46	techniques	technique	NOUN
iajs-3294	2	47	,	,	PUNCT
iajs-3294	2	48	technical	technical	ADJ
iajs-3294	2	49	college	college	NOUN
iajs-3294	2	50	of	of	ADP
iajs-3294	2	51	management	management	NOUN
iajs-3294	2	52	-	-	PUNCT
iajs-3294	2	53	baghdad	baghdad	PROPN
iajs-3294	2	54	,	,	PUNCT
iajs-3294	2	55	middle	middle	PROPN
iajs-3294	2	56	technical	technical	PROPN
iajs-3294	2	57	university	university	PROPN
iajs-3294	2	58	,	,	PUNCT
iajs-3294	2	59	baghdad	baghdad	PROPN
iajs-3294	2	60	,	,	PUNCT
iajs-3294	2	61	iraq	iraq	PROPN
iajs-3294	2	62	.	.	PUNCT
iajs-3294	3	1	received:25	received:25	PROPN
iajs-3294	3	2	february	february	NOUN
iajs-3294	3	3	2023	2023	NUM
iajs-3294	3	4	accepted:30	accepted:30	X
iajs-3294	3	5	march	march	NOUN
iajs-3294	3	6	2023	2023	NUM
iajs-3294	3	7	published:20	published:20	NOUN
iajs-3294	3	8	july	july	PROPN
iajs-3294	3	9	2024	2024	NUM
iajs-3294	3	10	doi.org/10.30526/37.3.3294	doi.org/10.30526/37.3.3294	NOUN
iajs-3294	3	11	abstract	abstract	ADJ
iajs-3294	3	12	in	in	ADP
iajs-3294	3	13	this	this	DET
iajs-3294	3	14	paper	paper	NOUN
iajs-3294	3	15	,	,	PUNCT
iajs-3294	3	16	we	we	PRON
iajs-3294	3	17	investigated	investigate	VERB
iajs-3294	3	18	the	the	DET
iajs-3294	3	19	bayesian	bayesian	NOUN
iajs-3294	3	20	estimation	estimation	NOUN
iajs-3294	3	21	of	of	ADP
iajs-3294	3	22	the	the	DET
iajs-3294	3	23	unknown	unknown	ADJ
iajs-3294	3	24	parameter	parameter	NOUN
iajs-3294	3	25	of	of	ADP
iajs-3294	3	26	the	the	DET
iajs-3294	3	27	inverse	inverse	NOUN
iajs-3294	3	28	rayleigh	rayleigh	NOUN
iajs-3294	3	29	distribution	distribution	NOUN
iajs-3294	3	30	(	(	PUNCT
iajs-3294	3	31	ird	ird	PROPN
iajs-3294	3	32	)	)	PUNCT
iajs-3294	3	33	under	under	ADP
iajs-3294	3	34	different	different	ADJ
iajs-3294	3	35	priors	prior	NOUN
iajs-3294	3	36	,	,	PUNCT
iajs-3294	3	37	represented	represent	VERB
iajs-3294	3	38	by	by	ADP
iajs-3294	3	39	the	the	DET
iajs-3294	3	40	inverse	inverse	NOUN
iajs-3294	3	41	gamma	gamma	NOUN
iajs-3294	3	42	distribution	distribution	NOUN
iajs-3294	3	43	,	,	PUNCT
iajs-3294	3	44	the	the	DET
iajs-3294	3	45	inverse	inverse	ADJ
iajs-3294	3	46	chi	chi	NOUN
iajs-3294	3	47	-	-	PUNCT
iajs-3294	3	48	squared	square	VERB
iajs-3294	3	49	distribution	distribution	NOUN
iajs-3294	3	50	,	,	PUNCT
iajs-3294	3	51	and	and	CCONJ
iajs-3294	3	52	the	the	DET
iajs-3294	3	53	standard	standard	ADJ
iajs-3294	3	54	levy	levy	NOUN
iajs-3294	3	55	distribution	distribution	NOUN
iajs-3294	3	56	as	as	ADP
iajs-3294	3	57	priors	prior	NOUN
iajs-3294	3	58	.	.	PUNCT
iajs-3294	4	1	we	we	PRON
iajs-3294	4	2	obtained	obtain	VERB
iajs-3294	4	3	the	the	DET
iajs-3294	4	4	posterior	posterior	ADJ
iajs-3294	4	5	distributions	distribution	NOUN
iajs-3294	4	6	for	for	ADP
iajs-3294	4	7	the	the	DET
iajs-3294	4	8	unknown	unknown	ADJ
iajs-3294	4	9	parameter	parameter	NOUN
iajs-3294	4	10	of	of	ADP
iajs-3294	4	11	ird	ird	PROPN
iajs-3294	4	12	under	under	ADP
iajs-3294	4	13	the	the	DET
iajs-3294	4	14	different	different	ADJ
iajs-3294	4	15	priors	prior	NOUN
iajs-3294	4	16	based	base	VERB
iajs-3294	4	17	on	on	ADP
iajs-3294	4	18	the	the	DET
iajs-3294	4	19	general	general	ADJ
iajs-3294	4	20	entropy	entropy	NOUN
iajs-3294	4	21	loss	loss	NOUN
iajs-3294	4	22	function	function	NOUN
iajs-3294	4	23	(	(	PUNCT
iajs-3294	4	24	gelf	gelf	NOUN
iajs-3294	4	25	)	)	PUNCT
iajs-3294	4	26	.	.	PUNCT
iajs-3294	5	1	we	we	PRON
iajs-3294	5	2	assumed	assume	VERB
iajs-3294	5	3	different	different	ADJ
iajs-3294	5	4	values	value	NOUN
iajs-3294	5	5	for	for	ADP
iajs-3294	5	6	the	the	DET
iajs-3294	5	7	shape	shape	NOUN
iajs-3294	5	8	parameter	parameter	NOUN
iajs-3294	5	9	of	of	ADP
iajs-3294	5	10	gelf	gelf	NOUN
iajs-3294	5	11	.	.	PUNCT
iajs-3294	6	1	also	also	ADV
iajs-3294	6	2	,	,	PUNCT
iajs-3294	6	3	the	the	DET
iajs-3294	6	4	maximum	maximum	ADJ
iajs-3294	6	5	likelihood	likelihood	NOUN
iajs-3294	6	6	estimator	estimator	NOUN
iajs-3294	6	7	is	be	AUX
iajs-3294	6	8	used	use	VERB
iajs-3294	6	9	to	to	PART
iajs-3294	6	10	estimate	estimate	VERB
iajs-3294	6	11	the	the	DET
iajs-3294	6	12	scale	scale	NOUN
iajs-3294	6	13	parameter	parameter	NOUN
iajs-3294	6	14	of	of	ADP
iajs-3294	6	15	ird	ird	PROPN
iajs-3294	6	16	.	.	PUNCT
iajs-3294	7	1	then	then	ADV
iajs-3294	7	2	,	,	PUNCT
iajs-3294	7	3	a	a	DET
iajs-3294	7	4	study	study	NOUN
iajs-3294	7	5	is	be	AUX
iajs-3294	7	6	conducted	conduct	VERB
iajs-3294	7	7	to	to	PART
iajs-3294	7	8	obtain	obtain	VERB
iajs-3294	7	9	the	the	DET
iajs-3294	7	10	results	result	NOUN
iajs-3294	7	11	,	,	PUNCT
iajs-3294	7	12	based	base	VERB
iajs-3294	7	13	on	on	ADP
iajs-3294	7	14	the	the	DET
iajs-3294	7	15	different	different	ADJ
iajs-3294	7	16	parameters	parameter	NOUN
iajs-3294	7	17	of	of	ADP
iajs-3294	7	18	inverse	inverse	NOUN
iajs-3294	7	19	rayleigh	rayleigh	NOUN
iajs-3294	7	20	distribution	distribution	NOUN
iajs-3294	7	21	and	and	CCONJ
iajs-3294	7	22	sample	sample	NOUN
iajs-3294	7	23	sizes	size	NOUN
iajs-3294	7	24	.	.	PUNCT
iajs-3294	8	1	we	we	PRON
iajs-3294	8	2	found	find	VERB
iajs-3294	8	3	that	that	SCONJ
iajs-3294	8	4	bayes	bayes	PROPN
iajs-3294	8	5	estimators	estimator	NOUN
iajs-3294	8	6	perform	perform	VERB
iajs-3294	8	7	better	well	ADV
iajs-3294	8	8	than	than	ADP
iajs-3294	8	9	mle	mle	NOUN
iajs-3294	8	10	according	accord	VERB
iajs-3294	8	11	to	to	ADP
iajs-3294	8	12	the	the	DET
iajs-3294	8	13	least	least	ADJ
iajs-3294	8	14	mean	mean	NOUN
iajs-3294	8	15	square	square	ADJ
iajs-3294	8	16	error	error	NOUN
iajs-3294	8	17	(	(	PUNCT
iajs-3294	8	18	mse	mse	NOUN
iajs-3294	8	19	)	)	PUNCT
iajs-3294	8	20	criterion	criterion	NOUN
iajs-3294	8	21	.	.	PUNCT
iajs-3294	9	1	keywords	keyword	NOUN
iajs-3294	9	2	:	:	PUNCT
iajs-3294	9	3	inverse	inverse	ADJ
iajs-3294	9	4	rayleigh	rayleigh	NOUN
iajs-3294	9	5	distribution	distribution	NOUN
iajs-3294	9	6	,	,	PUNCT
iajs-3294	9	7	maximum	maximum	ADJ
iajs-3294	9	8	likelihood	likelihood	NOUN
iajs-3294	9	9	estimator	estimator	NOUN
iajs-3294	9	10	,	,	PUNCT
iajs-3294	9	11	bayes	bayes	PROPN
iajs-3294	9	12	estimation	estimation	PROPN
iajs-3294	9	13	,	,	PUNCT
iajs-3294	9	14	entropy	entropy	VERB
iajs-3294	9	15	loss	loss	NOUN
iajs-3294	9	16	function	function	NOUN
iajs-3294	9	17	,	,	PUNCT
iajs-3294	9	18	mean	mean	ADJ
iajs-3294	9	19	square	square	NOUN
iajs-3294	9	20	error	error	NOUN
iajs-3294	9	21	.	.	PUNCT
iajs-3294	10	1	1	1	X
iajs-3294	10	2	.	.	X
iajs-3294	10	3	introduction	introduction	NOUN
iajs-3294	10	4	the	the	DET
iajs-3294	10	5	inverse	inverse	NOUN
iajs-3294	10	6	rayleigh	rayleigh	NOUN
iajs-3294	10	7	distribution	distribution	NOUN
iajs-3294	10	8	(	(	PUNCT
iajs-3294	10	9	ird	ird	PROPN
iajs-3294	10	10	)	)	PUNCT
iajs-3294	10	11	is	be	AUX
iajs-3294	10	12	one	one	NUM
iajs-3294	10	13	of	of	ADP
iajs-3294	10	14	the	the	DET
iajs-3294	10	15	continuous	continuous	ADJ
iajs-3294	10	16	distributions	distribution	NOUN
iajs-3294	10	17	.	.	PUNCT
iajs-3294	11	1	it	it	PRON
iajs-3294	11	2	is	be	AUX
iajs-3294	11	3	a	a	DET
iajs-3294	11	4	very	very	ADV
iajs-3294	11	5	useful	useful	ADJ
iajs-3294	11	6	lifetime	lifetime	NOUN
iajs-3294	11	7	distribution	distribution	NOUN
iajs-3294	11	8	.	.	PUNCT
iajs-3294	12	1	many	many	ADJ
iajs-3294	12	2	authors	author	NOUN
iajs-3294	12	3	have	have	AUX
iajs-3294	12	4	discussed	discuss	VERB
iajs-3294	12	5	its	its	PRON
iajs-3294	12	6	applications	application	NOUN
iajs-3294	12	7	in	in	ADP
iajs-3294	12	8	survival	survival	NOUN
iajs-3294	12	9	analysis	analysis	NOUN
iajs-3294	12	10	and	and	CCONJ
iajs-3294	12	11	reliability	reliability	NOUN
iajs-3294	12	12	theory	theory	NOUN
iajs-3294	12	13	,	,	PUNCT
iajs-3294	12	14	as	as	ADV
iajs-3294	12	15	well	well	ADV
iajs-3294	12	16	as	as	ADP
iajs-3294	12	17	in	in	ADP
iajs-3294	12	18	life	life	NOUN
iajs-3294	12	19	test	test	NOUN
iajs-3294	12	20	study	study	NOUN
iajs-3294	12	21	and	and	CCONJ
iajs-3294	12	22	industrial	industrial	ADJ
iajs-3294	12	23	reliability	reliability	NOUN
iajs-3294	12	24	problems	problem	NOUN
iajs-3294	12	25	.	.	PUNCT
iajs-3294	13	1	therefore	therefore	ADV
iajs-3294	13	2	,	,	PUNCT
iajs-3294	13	3	many	many	ADJ
iajs-3294	13	4	authors	author	NOUN
iajs-3294	13	5	have	have	AUX
iajs-3294	13	6	studied	study	VERB
iajs-3294	13	7	different	different	ADJ
iajs-3294	13	8	methods	method	NOUN
iajs-3294	13	9	for	for	ADP
iajs-3294	13	10	estimating	estimate	VERB
iajs-3294	13	11	the	the	DET
iajs-3294	13	12	unknown	unknown	ADJ
iajs-3294	13	13	parameters	parameter	NOUN
iajs-3294	13	14	of	of	ADP
iajs-3294	13	15	the	the	DET
iajs-3294	13	16	inverse	inverse	ADJ
iajs-3294	13	17	rayleigh	rayleigh	NOUN
iajs-3294	13	18	distribution	distribution	NOUN
iajs-3294	13	19	(	(	PUNCT
iajs-3294	13	20	ird	ird	PROPN
iajs-3294	13	21	)	)	PUNCT
iajs-3294	13	22	.	.	PUNCT
iajs-3294	14	1	we	we	PRON
iajs-3294	14	2	list	list	VERB
iajs-3294	14	3	some	some	PRON
iajs-3294	14	4	of	of	ADP
iajs-3294	14	5	these	these	DET
iajs-3294	14	6	studies	study	NOUN
iajs-3294	14	7	below	below	ADV
iajs-3294	14	8	:	:	PUNCT
iajs-3294	15	1	[	[	X
iajs-3294	15	2	1	1	X
iajs-3294	15	3	]	]	PUNCT
iajs-3294	15	4	derived	derive	VERB
iajs-3294	15	5	a	a	DET
iajs-3294	15	6	maximum	maximum	ADJ
iajs-3294	15	7	likelihood	likelihood	NOUN
iajs-3294	15	8	(	(	PUNCT
iajs-3294	15	9	mle	mle	PROPN
iajs-3294	15	10	)	)	PUNCT
iajs-3294	15	11	and	and	CCONJ
iajs-3294	15	12	a	a	DET
iajs-3294	15	13	bayes	bayes	NOUN
iajs-3294	15	14	estimator	estimator	NOUN
iajs-3294	15	15	for	for	ADP
iajs-3294	15	16	the	the	DET
iajs-3294	15	17	unknown	unknown	ADJ
iajs-3294	15	18	parameters	parameter	NOUN
iajs-3294	15	19	of	of	ADP
iajs-3294	15	20	the	the	DET
iajs-3294	15	21	inverse	inverse	ADJ
iajs-3294	15	22	rayleigh	rayleigh	NOUN
iajs-3294	15	23	distribution	distribution	NOUN
iajs-3294	15	24	(	(	PUNCT
iajs-3294	15	25	ird	ird	PROPN
iajs-3294	15	26	)	)	PUNCT
iajs-3294	15	27	based	base	VERB
iajs-3294	15	28	on	on	ADP
iajs-3294	15	29	a	a	DET
iajs-3294	15	30	set	set	NOUN
iajs-3294	15	31	of	of	ADP
iajs-3294	15	32	lower	low	ADJ
iajs-3294	15	33	record	record	NOUN
iajs-3294	15	34	values	value	NOUN
iajs-3294	15	35	.	.	PUNCT
iajs-3294	16	1	they	they	PRON
iajs-3294	16	2	also	also	ADV
iajs-3294	16	3	derived	derive	VERB
iajs-3294	16	4	the	the	DET
iajs-3294	16	5	rth	rth	NOUN
iajs-3294	16	6	moment	moment	NOUN
iajs-3294	16	7	around	around	ADP
iajs-3294	16	8	the	the	DET
iajs-3294	16	9	origin	origin	NOUN
iajs-3294	16	10	and	and	CCONJ
iajs-3294	16	11	bayes	bayes	NOUN
iajs-3294	16	12	point	point	NOUN
iajs-3294	16	13	and	and	CCONJ
iajs-3294	16	14	interval	interval	NOUN
iajs-3294	16	15	estimators	estimator	NOUN
iajs-3294	16	16	for	for	ADP
iajs-3294	16	17	the	the	DET
iajs-3294	16	18	parameter	parameter	NOUN
iajs-3294	16	19	under	under	ADP
iajs-3294	16	20	informative	informative	ADJ
iajs-3294	16	21	priors	prior	NOUN
iajs-3294	16	22	based	base	VERB
iajs-3294	16	23	on	on	ADP
iajs-3294	16	24	quadratic	quadratic	ADJ
iajs-3294	16	25	error	error	NOUN
iajs-3294	16	26	loss	loss	NOUN
iajs-3294	16	27	functions	function	NOUN
iajs-3294	16	28	.	.	PUNCT
iajs-3294	17	1	they	they	PRON
iajs-3294	17	2	used	use	VERB
iajs-3294	17	3	a	a	DET
iajs-3294	17	4	simulation	simulation	NOUN
iajs-3294	17	5	study	study	NOUN
iajs-3294	17	6	to	to	PART
iajs-3294	17	7	illustrate	illustrate	VERB
iajs-3294	17	8	the	the	DET
iajs-3294	17	9	theoretical	theoretical	ADJ
iajs-3294	17	10	results	result	NOUN
iajs-3294	17	11	of	of	ADP
iajs-3294	17	12	the	the	DET
iajs-3294	17	13	prediction	prediction	NOUN
iajs-3294	17	14	interval	interval	NOUN
iajs-3294	17	15	.	.	PUNCT
iajs-3294	18	1	[	[	X
iajs-3294	18	2	2	2	X
iajs-3294	18	3	]	]	PUNCT
iajs-3294	18	4	derived	derive	VERB
iajs-3294	18	5	bayes	bayes	NOUN
iajs-3294	18	6	estimators	estimator	NOUN
iajs-3294	18	7	for	for	ADP
iajs-3294	18	8	the	the	DET
iajs-3294	18	9	unknown	unknown	ADJ
iajs-3294	18	10	parameter	parameter	NOUN
iajs-3294	18	11	and	and	CCONJ
iajs-3294	18	12	the	the	DET
iajs-3294	18	13	reliability	reliability	NOUN
iajs-3294	18	14	function	function	NOUN
iajs-3294	18	15	of	of	ADP
iajs-3294	18	16	an	an	DET
iajs-3294	18	17	inverse	inverse	ADJ
iajs-3294	18	18	rayleigh	rayleigh	NOUN
iajs-3294	18	19	distribution	distribution	NOUN
iajs-3294	18	20	(	(	PUNCT
iajs-3294	18	21	ird	ird	PROPN
iajs-3294	18	22	)	)	PUNCT
iajs-3294	18	23	under	under	ADP
iajs-3294	18	24	a	a	DET
iajs-3294	18	25	non	non	ADJ
iajs-3294	18	26	-	-	ADJ
iajs-3294	18	27	informative	informative	ADJ
iajs-3294	18	28	prior	prior	ADJ
iajs-3294	18	29	distribution	distribution	NOUN
iajs-3294	18	30	based	base	VERB
iajs-3294	18	31	on	on	ADP
iajs-3294	18	32	the	the	DET
iajs-3294	18	33	squared	square	VERB
iajs-3294	18	34	error	error	NOUN
iajs-3294	18	35	loss	loss	NOUN
iajs-3294	18	36	function	function	NOUN
iajs-3294	18	37	(	(	PUNCT
iajs-3294	18	38	self	self	NOUN
iajs-3294	18	39	)	)	PUNCT
iajs-3294	18	40	and	and	CCONJ
iajs-3294	18	41	the	the	DET
iajs-3294	18	42	linex	linex	ADJ
iajs-3294	18	43	loss	loss	NOUN
iajs-3294	18	44	function	function	NOUN
iajs-3294	18	45	which	which	PRON
iajs-3294	18	46	are	be	AUX
iajs-3294	18	47	an	an	DET
iajs-3294	18	48	asymmetric	asymmetric	ADJ
iajs-3294	18	49	function	function	NOUN
iajs-3294	18	50	.	.	PUNCT
iajs-3294	19	1	he	he	PRON
iajs-3294	19	2	used	use	VERB
iajs-3294	19	3	a	a	DET
iajs-3294	19	4	simulation	simulation	NOUN
iajs-3294	19	5	study	study	NOUN
iajs-3294	19	6	to	to	PART
iajs-3294	19	7	compare	compare	VERB
iajs-3294	19	8	the	the	DET
iajs-3294	19	9	different	different	ADJ
iajs-3294	19	10	estimators	estimator	NOUN
iajs-3294	19	11	of	of	ADP
iajs-3294	19	12	the	the	DET
iajs-3294	19	13	parameters	parameter	NOUN
iajs-3294	19	14	and	and	CCONJ
iajs-3294	19	15	the	the	DET
iajs-3294	19	16	reliability	reliability	NOUN
iajs-3294	19	17	function	function	NOUN
iajs-3294	19	18	.	.	PUNCT
iajs-3294	20	1	he	he	PRON
iajs-3294	20	2	concludes	conclude	VERB
iajs-3294	20	3	that	that	SCONJ
iajs-3294	20	4	the	the	DET
iajs-3294	20	5	bayes	bayes	NOUN
iajs-3294	20	6	estimators	estimator	NOUN
iajs-3294	20	7	for	for	ADP
iajs-3294	20	8	the	the	DET
iajs-3294	20	9	parameter	parameter	NOUN
iajs-3294	20	10	under	under	ADP
iajs-3294	20	11	the	the	DET
iajs-3294	20	12	linex	linex	ADJ
iajs-3294	20	13	loss	loss	NOUN
iajs-3294	20	14	function	function	NOUN
iajs-3294	20	15	are	be	AUX
iajs-3294	20	16	better	well	ADJ
iajs-3294	20	17	than	than	ADP
iajs-3294	20	18	the	the	DET
iajs-3294	20	19	bayes	bayes	NOUN
iajs-3294	20	20	estimators	estimator	NOUN
iajs-3294	20	21	based	base	VERB
iajs-3294	20	22	on	on	ADP
iajs-3294	20	23	the	the	DET
iajs-3294	20	24	se	se	PROPN
iajs-3294	20	25	loss	loss	NOUN
iajs-3294	20	26	function	function	NOUN
iajs-3294	20	27	.	.	PUNCT
iajs-3294	21	1	he	he	PRON
iajs-3294	21	2	also	also	ADV
iajs-3294	21	3	finds	find	VERB
iajs-3294	21	4	that	that	SCONJ
iajs-3294	21	5	the	the	DET
iajs-3294	21	6	bayes	bayes	NOUN
iajs-3294	21	7	estimators	estimator	NOUN
iajs-3294	21	8	for	for	ADP
iajs-3294	21	9	the	the	DET
iajs-3294	21	10	reliability	reliability	NOUN
iajs-3294	21	11	function	function	NOUN
iajs-3294	21	12	under	under	ADP
iajs-3294	21	13	the	the	DET
iajs-3294	21	14	linex	linex	ADJ
iajs-3294	21	15	loss	loss	NOUN
iajs-3294	21	16	function	function	NOUN
iajs-3294	21	17	are	be	AUX
iajs-3294	21	18	better	well	ADJ
iajs-3294	21	19	than	than	ADP
iajs-3294	21	20	the	the	DET
iajs-3294	21	21	bayes	bayes	NOUN
iajs-3294	21	22	.	.	PUNCT
iajs-3294	22	1	https://creativecommons.org/licenses/by/4.0/	https://creativecommons.org/licenses/by/4.0/	PROPN
iajs-3294	22	2	https://orcid.org/0000-0001-8486-3273?lang=en	https://orcid.org/0000-0001-8486-3273?lang=en	PROPN
iajs-3294	22	3	mailto:jinan.abbas@mtu.edu.iq	mailto:jinan.abbas@mtu.edu.iq	PROPN
iajs-3294	22	4	ihjpas	ihjpas	PROPN
iajs-3294	22	5	.	.	PUNCT
iajs-3294	23	1	2024	2024	NUM
iajs-3294	23	2	,	,	PUNCT
iajs-3294	23	3	37	37	NUM
iajs-3294	23	4	(	(	PUNCT
iajs-3294	23	5	3	3	NUM
iajs-3294	23	6	)	)	PUNCT
iajs-3294	23	7	355	355	NUM
iajs-3294	23	8	estimators	estimator	NOUN
iajs-3294	23	9	based	base	VERB
iajs-3294	23	10	on	on	ADP
iajs-3294	23	11	the	the	DET
iajs-3294	23	12	se	se	PROPN
iajs-3294	23	13	loss	loss	NOUN
iajs-3294	23	14	function	function	NOUN
iajs-3294	23	15	,	,	PUNCT
iajs-3294	23	16	corresponding	correspond	VERB
iajs-3294	23	17	to	to	ADP
iajs-3294	23	18	the	the	DET
iajs-3294	23	19	smallest	small	ADJ
iajs-3294	23	20	value	value	NOUN
iajs-3294	23	21	of	of	ADP
iajs-3294	23	22	the	the	DET
iajs-3294	23	23	root	root	NOUN
iajs-3294	23	24	-	-	PUNCT
iajs-3294	23	25	meansquare	meansquare	NOUN
iajs-3294	23	26	error	error	NOUN
iajs-3294	23	27	measure	measure	NOUN
iajs-3294	23	28	[	[	X
iajs-3294	23	29	3	3	X
iajs-3294	23	30	]	]	X
iajs-3294	23	31	maximum	maximum	ADJ
iajs-3294	23	32	likelihood	likelihood	NOUN
iajs-3294	23	33	(	(	PUNCT
iajs-3294	23	34	ml	ml	NOUN
iajs-3294	23	35	)	)	PUNCT
iajs-3294	23	36	based	base	VERB
iajs-3294	23	37	on	on	ADP
iajs-3294	23	38	the	the	DET
iajs-3294	23	39	lower	low	ADJ
iajs-3294	23	40	record	record	NOUN
iajs-3294	23	41	values	value	NOUN
iajs-3294	23	42	and	and	CCONJ
iajs-3294	23	43	bayes	bayes	PROPN
iajs-3294	23	44	estimation	estimation	NOUN
iajs-3294	23	45	to	to	PART
iajs-3294	23	46	estimate	estimate	VERB
iajs-3294	23	47	the	the	DET
iajs-3294	23	48	unknown	unknown	ADJ
iajs-3294	23	49	parameter	parameter	NOUN
iajs-3294	23	50	of	of	ADP
iajs-3294	23	51	the	the	DET
iajs-3294	23	52	inverse	inverse	NOUN
iajs-3294	23	53	rayleigh	rayleigh	NOUN
iajs-3294	23	54	distribution	distribution	NOUN
iajs-3294	23	55	(	(	PUNCT
iajs-3294	23	56	ird	ird	PROPN
iajs-3294	23	57	)	)	PUNCT
iajs-3294	23	58	,	,	PUNCT
iajs-3294	23	59	as	as	ADV
iajs-3294	23	60	well	well	ADV
iajs-3294	23	61	as	as	ADP
iajs-3294	23	62	the	the	DET
iajs-3294	23	63	reliability	reliability	NOUN
iajs-3294	23	64	and	and	CCONJ
iajs-3294	23	65	cumulative	cumulative	ADJ
iajs-3294	23	66	failure	failure	NOUN
iajs-3294	23	67	rate	rate	NOUN
iajs-3294	23	68	function	function	NOUN
iajs-3294	23	69	for	for	ADP
iajs-3294	23	70	the	the	DET
iajs-3294	23	71	inverse	inverse	ADJ
iajs-3294	23	72	rayleigh	rayleigh	NOUN
iajs-3294	23	73	distribution	distribution	NOUN
iajs-3294	23	74	.	.	PUNCT
iajs-3294	24	1	they	they	PRON
iajs-3294	24	2	derived	derive	VERB
iajs-3294	24	3	bayes	bayes	NOUN
iajs-3294	24	4	estimators	estimator	NOUN
iajs-3294	24	5	under	under	ADP
iajs-3294	24	6	the	the	DET
iajs-3294	24	7	gamma	gamma	NOUN
iajs-3294	24	8	distribution	distribution	NOUN
iajs-3294	24	9	as	as	ADP
iajs-3294	24	10	a	a	DET
iajs-3294	24	11	prior	prior	ADJ
iajs-3294	24	12	distribution	distribution	NOUN
iajs-3294	24	13	based	base	VERB
iajs-3294	24	14	on	on	ADP
iajs-3294	24	15	quadratic	quadratic	ADJ
iajs-3294	24	16	error	error	NOUN
iajs-3294	24	17	losses	loss	NOUN
iajs-3294	24	18	and	and	CCONJ
iajs-3294	24	19	linex	linex	ADJ
iajs-3294	24	20	loss	loss	NOUN
iajs-3294	24	21	functions	function	NOUN
iajs-3294	24	22	.	.	PUNCT
iajs-3294	25	1	they	they	PRON
iajs-3294	25	2	also	also	ADV
iajs-3294	25	3	obtained	obtain	VERB
iajs-3294	25	4	bayesian	bayesian	NOUN
iajs-3294	25	5	prediction	prediction	NOUN
iajs-3294	25	6	intervals	interval	NOUN
iajs-3294	25	7	for	for	ADP
iajs-3294	25	8	the	the	DET
iajs-3294	25	9	future	future	ADJ
iajs-3294	25	10	record	record	NOUN
iajs-3294	25	11	values	value	NOUN
iajs-3294	25	12	.	.	PUNCT
iajs-3294	26	1	they	they	PRON
iajs-3294	26	2	used	use	VERB
iajs-3294	26	3	a	a	DET
iajs-3294	26	4	simulation	simulation	NOUN
iajs-3294	26	5	study	study	NOUN
iajs-3294	26	6	to	to	PART
iajs-3294	26	7	calculate	calculate	VERB
iajs-3294	26	8	the	the	DET
iajs-3294	26	9	estimated	estimate	VERB
iajs-3294	26	10	mean	mean	NOUN
iajs-3294	26	11	and	and	CCONJ
iajs-3294	26	12	mean	mean	VERB
iajs-3294	26	13	squared	square	VERB
iajs-3294	26	14	errors	error	NOUN
iajs-3294	26	15	for	for	ADP
iajs-3294	26	16	each	each	DET
iajs-3294	26	17	estimator	estimator	NOUN
iajs-3294	26	18	.	.	PUNCT
iajs-3294	27	1	they	they	PRON
iajs-3294	27	2	find	find	VERB
iajs-3294	27	3	that	that	SCONJ
iajs-3294	27	4	the	the	DET
iajs-3294	27	5	bayesian	bayesian	NOUN
iajs-3294	27	6	estimates	estimate	NOUN
iajs-3294	27	7	are	be	AUX
iajs-3294	27	8	superior	superior	ADJ
iajs-3294	27	9	to	to	ADP
iajs-3294	27	10	the	the	DET
iajs-3294	27	11	mle	mle	PROPN
iajs-3294	27	12	estimates	estimate	NOUN
iajs-3294	27	13	,	,	PUNCT
iajs-3294	27	14	as	as	SCONJ
iajs-3294	27	15	indicated	indicate	VERB
iajs-3294	27	16	by	by	ADP
iajs-3294	27	17	the	the	DET
iajs-3294	27	18	smallest	small	ADJ
iajs-3294	27	19	value	value	NOUN
iajs-3294	27	20	of	of	ADP
iajs-3294	27	21	the	the	DET
iajs-3294	27	22	mean	mean	ADJ
iajs-3294	27	23	squared	square	VERB
iajs-3294	27	24	error	error	NOUN
iajs-3294	27	25	.	.	PUNCT
iajs-3294	28	1	in	in	ADP
iajs-3294	28	2	[	[	X
iajs-3294	28	3	4	4	NUM
iajs-3294	28	4	]	]	PUNCT
iajs-3294	28	5	,	,	PUNCT
iajs-3294	28	6	bayesian	bayesian	NOUN
iajs-3294	28	7	estimation	estimation	NOUN
iajs-3294	28	8	was	be	AUX
iajs-3294	28	9	used	use	VERB
iajs-3294	28	10	to	to	PART
iajs-3294	28	11	estimate	estimate	VERB
iajs-3294	28	12	the	the	DET
iajs-3294	28	13	unknown	unknown	ADJ
iajs-3294	28	14	parameter	parameter	NOUN
iajs-3294	28	15	of	of	ADP
iajs-3294	28	16	the	the	DET
iajs-3294	28	17	inverse	inverse	NOUN
iajs-3294	28	18	rayleigh	rayleigh	NOUN
iajs-3294	28	19	distribution	distribution	NOUN
iajs-3294	28	20	(	(	PUNCT
iajs-3294	28	21	ird	ird	PROPN
iajs-3294	28	22	)	)	PUNCT
iajs-3294	28	23	.	.	PUNCT
iajs-3294	29	1	they	they	PRON
iajs-3294	29	2	derived	derive	VERB
iajs-3294	29	3	posterior	posterior	ADJ
iajs-3294	29	4	distributions	distribution	NOUN
iajs-3294	29	5	and	and	CCONJ
iajs-3294	29	6	posterior	posterior	ADJ
iajs-3294	29	7	risks	risk	NOUN
iajs-3294	29	8	under	under	ADP
iajs-3294	29	9	informative	informative	ADJ
iajs-3294	29	10	and	and	CCONJ
iajs-3294	29	11	non	non	ADJ
iajs-3294	29	12	-	-	ADJ
iajs-3294	29	13	informative	informative	ADJ
iajs-3294	29	14	priors	prior	NOUN
iajs-3294	29	15	in	in	ADP
iajs-3294	29	16	the	the	DET
iajs-3294	29	17	presence	presence	NOUN
iajs-3294	29	18	of	of	ADP
iajs-3294	29	19	left	left	ADJ
iajs-3294	29	20	censoring	censor	VERB
iajs-3294	29	21	.	.	PUNCT
iajs-3294	30	1	they	they	PRON
iajs-3294	30	2	obtained	obtain	VERB
iajs-3294	30	3	the	the	DET
iajs-3294	30	4	bayes	bayes	NOUN
iajs-3294	30	5	estimators	estimator	NOUN
iajs-3294	30	6	of	of	ADP
iajs-3294	30	7	the	the	DET
iajs-3294	30	8	unknown	unknown	ADJ
iajs-3294	30	9	parameter	parameter	NOUN
iajs-3294	30	10	of	of	ADP
iajs-3294	30	11	the	the	DET
iajs-3294	30	12	ird	ird	PROPN
iajs-3294	30	13	under	under	ADP
iajs-3294	30	14	different	different	ADJ
iajs-3294	30	15	loss	loss	NOUN
iajs-3294	30	16	functions	function	NOUN
iajs-3294	30	17	such	such	ADJ
iajs-3294	30	18	as	as	ADP
iajs-3294	30	19	squared	square	VERB
iajs-3294	30	20	error	error	NOUN
iajs-3294	30	21	loss	loss	NOUN
iajs-3294	30	22	,	,	PUNCT
iajs-3294	30	23	prudence	prudence	NOUN
iajs-3294	30	24	loss	loss	NOUN
iajs-3294	30	25	,	,	PUNCT
iajs-3294	30	26	weighted	weight	VERB
iajs-3294	30	27	squared	square	VERB
iajs-3294	30	28	error	error	NOUN
iajs-3294	30	29	loss	loss	NOUN
iajs-3294	30	30	,	,	PUNCT
iajs-3294	30	31	quasi	quasi	ADJ
iajs-3294	30	32	-	-	ADJ
iajs-3294	30	33	squared	squared	ADJ
iajs-3294	30	34	loss	loss	NOUN
iajs-3294	30	35	,	,	PUNCT
iajs-3294	30	36	squared	square	VERB
iajs-3294	30	37	-	-	PUNCT
iajs-3294	30	38	logarithmic	logarithmic	ADJ
iajs-3294	30	39	error	error	NOUN
iajs-3294	30	40	loss	loss	NOUN
iajs-3294	30	41	)	)	PUNCT
iajs-3294	30	42	and	and	CCONJ
iajs-3294	30	43	entropy	entropy	VERB
iajs-3294	30	44	loss	loss	NOUN
iajs-3294	30	45	functions	function	NOUN
iajs-3294	30	46	,	,	PUNCT
iajs-3294	30	47	they	they	PRON
iajs-3294	30	48	assumed	assume	VERB
iajs-3294	30	49	different	different	ADJ
iajs-3294	30	50	informative	informative	ADJ
iajs-3294	30	51	priors	prior	NOUN
iajs-3294	30	52	(	(	PUNCT
iajs-3294	30	53	exponential	exponential	ADJ
iajs-3294	30	54	distribution	distribution	NOUN
iajs-3294	30	55	and	and	CCONJ
iajs-3294	30	56	gamma	gamma	NOUN
iajs-3294	30	57	distribution	distribution	NOUN
iajs-3294	30	58	and	and	CCONJ
iajs-3294	30	59	inverse	inverse	NOUN
iajs-3294	30	60	levy	levy	NOUN
iajs-3294	30	61	distribution	distribution	NOUN
iajs-3294	30	62	)	)	PUNCT
iajs-3294	30	63	and	and	CCONJ
iajs-3294	30	64	non	non	ADJ
iajs-3294	30	65	-	-	ADJ
iajs-3294	30	66	informative	informative	ADJ
iajs-3294	30	67	priors	prior	NOUN
iajs-3294	30	68	(	(	PUNCT
iajs-3294	30	69	the	the	DET
iajs-3294	30	70	uniform	uniform	NOUN
iajs-3294	30	71	prior	prior	ADV
iajs-3294	30	72	and	and	CCONJ
iajs-3294	30	73	the	the	DET
iajs-3294	30	74	jeffrey	jeffrey	PROPN
iajs-3294	30	75	’	'	PUNCT
iajs-3294	30	76	prior	prior	ADV
iajs-3294	30	77	)	)	PUNCT
iajs-3294	30	78	.	.	PUNCT
iajs-3294	31	1	in	in	ADP
iajs-3294	31	2	[	[	X
iajs-3294	31	3	5	5	NUM
iajs-3294	31	4	]	]	PUNCT
iajs-3294	31	5	,	,	PUNCT
iajs-3294	31	6	introduces	introduce	VERB
iajs-3294	31	7	the	the	DET
iajs-3294	31	8	modified	modify	VERB
iajs-3294	31	9	inverse	inverse	NOUN
iajs-3294	31	10	rayleigh	rayleigh	NOUN
iajs-3294	31	11	(	(	PUNCT
iajs-3294	31	12	mir	mir	NOUN
iajs-3294	31	13	)	)	PUNCT
iajs-3294	31	14	distribution	distribution	NOUN
iajs-3294	31	15	,	,	PUNCT
iajs-3294	31	16	he	he	PRON
iajs-3294	31	17	studied	study	VERB
iajs-3294	31	18	the	the	DET
iajs-3294	31	19	statistical	statistical	ADJ
iajs-3294	31	20	properties	property	NOUN
iajs-3294	31	21	of	of	ADP
iajs-3294	31	22	the	the	DET
iajs-3294	31	23	mir	mir	NOUN
iajs-3294	31	24	distribution	distribution	NOUN
iajs-3294	31	25	,	,	PUNCT
iajs-3294	31	26	represented	represent	VERB
iajs-3294	31	27	by	by	ADP
iajs-3294	31	28	quantile	quantile	NOUN
iajs-3294	31	29	and	and	CCONJ
iajs-3294	31	30	median	median	ADJ
iajs-3294	31	31	,	,	PUNCT
iajs-3294	31	32	and	and	CCONJ
iajs-3294	31	33	gives	give	VERB
iajs-3294	31	34	closed	closed	ADJ
iajs-3294	31	35	form	form	NOUN
iajs-3294	31	36	to	to	PART
iajs-3294	31	37	generate	generate	VERB
iajs-3294	31	38	the	the	DET
iajs-3294	31	39	random	random	ADJ
iajs-3294	31	40	number	number	NOUN
iajs-3294	31	41	of	of	ADP
iajs-3294	31	42	the	the	DET
iajs-3294	31	43	mir	mir	NOUN
iajs-3294	31	44	distribution	distribution	NOUN
iajs-3294	31	45	.	.	PUNCT
iajs-3294	32	1	he	he	PRON
iajs-3294	32	2	also	also	ADV
iajs-3294	32	3	presents	present	VERB
iajs-3294	32	4	the	the	DET
iajs-3294	32	5	moment	moment	NOUN
iajs-3294	32	6	and	and	CCONJ
iajs-3294	32	7	moment	moment	NOUN
iajs-3294	32	8	generating	generate	VERB
iajs-3294	32	9	.	.	PUNCT
iajs-3294	33	1	he	he	PRON
iajs-3294	33	2	derives	derive	VERB
iajs-3294	33	3	the	the	DET
iajs-3294	33	4	mean	mean	ADJ
iajs-3294	33	5	deviation	deviation	NOUN
iajs-3294	33	6	about	about	ADP
iajs-3294	33	7	mean	mean	NOUN
iajs-3294	33	8	and	and	CCONJ
iajs-3294	33	9	about	about	ADP
iajs-3294	33	10	the	the	DET
iajs-3294	33	11	median	median	ADJ
iajs-3294	33	12	m.	m.	NOUN
iajs-3294	33	13	he	he	PRON
iajs-3294	33	14	gives	give	VERB
iajs-3294	33	15	the	the	DET
iajs-3294	33	16	close	close	ADJ
iajs-3294	33	17	form	form	NOUN
iajs-3294	33	18	to	to	ADP
iajs-3294	33	19	the	the	DET
iajs-3294	33	20	distribution	distribution	NOUN
iajs-3294	33	21	having	have	VERB
iajs-3294	33	22	first	first	ADJ
iajs-3294	33	23	order	order	NOUN
iajs-3294	33	24	statistic	statistic	NOUN
iajs-3294	33	25	and	and	CCONJ
iajs-3294	33	26	nth	nth	NOUN
iajs-3294	33	27	order	order	NOUN
iajs-3294	33	28	probability	probability	NOUN
iajs-3294	33	29	density	density	NOUN
iajs-3294	33	30	function	function	NOUN
iajs-3294	33	31	.	.	PUNCT
iajs-3294	34	1	he	he	PRON
iajs-3294	34	2	also	also	ADV
iajs-3294	34	3	discussed	discuss	VERB
iajs-3294	34	4	some	some	PRON
iajs-3294	34	5	of	of	ADP
iajs-3294	34	6	its	its	PRON
iajs-3294	34	7	properties	property	NOUN
iajs-3294	34	8	to	to	ADP
iajs-3294	34	9	illustrating	illustrate	VERB
iajs-3294	34	10	the	the	DET
iajs-3294	34	11	usefulness	usefulness	NOUN
iajs-3294	34	12	of	of	ADP
iajs-3294	34	13	the	the	DET
iajs-3294	34	14	mir	mir	NOUN
iajs-3294	34	15	distribution	distribution	NOUN
iajs-3294	34	16	to	to	ADP
iajs-3294	34	17	real	real	ADJ
iajs-3294	34	18	data	datum	NOUN
iajs-3294	34	19	using	use	VERB
iajs-3294	34	20	mle	mle	NOUN
iajs-3294	34	21	.	.	PUNCT
iajs-3294	35	1	[	[	X
iajs-3294	35	2	6	6	NUM
iajs-3294	35	3	]	]	X
iajs-3294	35	4	maximum	maximum	ADJ
iajs-3294	35	5	likelihood	likelihood	NOUN
iajs-3294	35	6	estimators	estimator	NOUN
iajs-3294	35	7	and	and	CCONJ
iajs-3294	35	8	bayes	bayes	NOUN
iajs-3294	35	9	estimators	estimator	NOUN
iajs-3294	35	10	were	be	AUX
iajs-3294	35	11	derived	derive	VERB
iajs-3294	35	12	for	for	ADP
iajs-3294	35	13	the	the	DET
iajs-3294	35	14	unknown	unknown	ADJ
iajs-3294	35	15	parameters	parameter	NOUN
iajs-3294	35	16	of	of	ADP
iajs-3294	35	17	the	the	DET
iajs-3294	35	18	inverse	inverse	ADJ
iajs-3294	35	19	rayleigh	rayleigh	NOUN
iajs-3294	35	20	distribution	distribution	NOUN
iajs-3294	35	21	(	(	PUNCT
iajs-3294	35	22	ird	ird	PROPN
iajs-3294	35	23	)	)	PUNCT
iajs-3294	35	24	.	.	PUNCT
iajs-3294	36	1	he	he	PRON
iajs-3294	36	2	obtains	obtain	VERB
iajs-3294	36	3	bayes	bayes	NOUN
iajs-3294	36	4	estimators	estimator	NOUN
iajs-3294	36	5	assuming	assume	VERB
iajs-3294	36	6	quasi	quasi	NOUN
iajs-3294	36	7	-	-	NOUN
iajs-3294	36	8	density	density	NOUN
iajs-3294	36	9	as	as	ADP
iajs-3294	36	10	a	a	DET
iajs-3294	36	11	noninformative	noninformative	PROPN
iajs-3294	36	12	prior	prior	ADV
iajs-3294	36	13	based	base	VERB
iajs-3294	36	14	on	on	ADP
iajs-3294	36	15	squared	square	VERB
iajs-3294	36	16	error	error	NOUN
iajs-3294	36	17	losses	loss	NOUN
iajs-3294	36	18	,	,	PUNCT
iajs-3294	36	19	linex	linex	ADV
iajs-3294	36	20	losses	loss	NOUN
iajs-3294	36	21	and	and	CCONJ
iajs-3294	36	22	entropy	entropy	VERB
iajs-3294	36	23	loss	loss	NOUN
iajs-3294	36	24	functions	function	NOUN
iajs-3294	36	25	.	.	PUNCT
iajs-3294	37	1	he	he	PRON
iajs-3294	37	2	simulations	simulation	VERB
iajs-3294	37	3	to	to	PART
iajs-3294	37	4	obtain	obtain	VERB
iajs-3294	37	5	the	the	DET
iajs-3294	37	6	results	result	NOUN
iajs-3294	37	7	about	about	ADP
iajs-3294	37	8	the	the	DET
iajs-3294	37	9	estimators	estimator	NOUN
iajs-3294	37	10	.	.	PUNCT
iajs-3294	38	1	he	he	PRON
iajs-3294	38	2	concludes	conclude	VERB
iajs-3294	38	3	that	that	SCONJ
iajs-3294	38	4	these	these	DET
iajs-3294	38	5	estimators	estimator	NOUN
iajs-3294	38	6	have	have	VERB
iajs-3294	38	7	the	the	DET
iajs-3294	38	8	same	same	ADJ
iajs-3294	38	9	values	value	NOUN
iajs-3294	38	10	for	for	ADP
iajs-3294	38	11	a	a	DET
iajs-3294	38	12	large	large	ADJ
iajs-3294	38	13	(	(	PUNCT
iajs-3294	38	14	n>50	n>50	NUM
iajs-3294	38	15	)	)	PUNCT
iajs-3294	38	16	.	.	PUNCT
iajs-3294	39	1	in	in	ADP
iajs-3294	39	2	[	[	X
iajs-3294	39	3	7	7	NUM
iajs-3294	39	4	]	]	PUNCT
iajs-3294	39	5	proposed	propose	VERB
iajs-3294	39	6	a	a	DET
iajs-3294	39	7	new	new	ADJ
iajs-3294	39	8	three	three	NUM
iajs-3294	39	9	parameter	parameter	NOUN
iajs-3294	39	10	of	of	ADP
iajs-3294	39	11	inverse	inverse	NOUN
iajs-3294	39	12	rayleigh	rayleigh	NOUN
iajs-3294	39	13	distribution	distribution	NOUN
iajs-3294	39	14	(	(	PUNCT
iajs-3294	39	15	ird	ird	PROPN
iajs-3294	39	16	)	)	PUNCT
iajs-3294	39	17	using	use	VERB
iajs-3294	39	18	alpha	alpha	NOUN
iajs-3294	39	19	power	power	NOUN
iajs-3294	39	20	transformation	transformation	NOUN
iajs-3294	39	21	(	(	PUNCT
iajs-3294	39	22	apt	apt	ADJ
iajs-3294	39	23	)	)	PUNCT
iajs-3294	39	24	known	know	VERB
iajs-3294	39	25	as	as	ADP
iajs-3294	39	26	the	the	DET
iajs-3294	39	27	alpha	alpha	PROPN
iajs-3294	39	28	power	power	NOUN
iajs-3294	39	29	inverse	inverse	NOUN
iajs-3294	39	30	rayleigh	rayleigh	NOUN
iajs-3294	39	31	distribution	distribution	NOUN
iajs-3294	39	32	(	(	PUNCT
iajs-3294	39	33	apird	apird	NOUN
iajs-3294	39	34	)	)	PUNCT
iajs-3294	39	35	.	.	PUNCT
iajs-3294	40	1	they	they	PRON
iajs-3294	40	2	derived	derive	VERB
iajs-3294	40	3	the	the	DET
iajs-3294	40	4	mathematical	mathematical	ADJ
iajs-3294	40	5	forms	form	NOUN
iajs-3294	40	6	of	of	ADP
iajs-3294	40	7	the	the	DET
iajs-3294	40	8	apird	apird	NOUN
iajs-3294	40	9	such	such	ADJ
iajs-3294	40	10	as	as	ADP
iajs-3294	40	11	moments	moment	NOUN
iajs-3294	40	12	,	,	PUNCT
iajs-3294	40	13	mgf	mgf	PROPN
iajs-3294	40	14	.	.	PROPN
iajs-3294	40	15	,	,	PUNCT
iajs-3294	40	16	entropies	entropy	NOUN
iajs-3294	40	17	,	,	PUNCT
iajs-3294	40	18	mean	mean	VERB
iajs-3294	40	19	waiting	waiting	NOUN
iajs-3294	40	20	time	time	NOUN
iajs-3294	40	21	,	,	PUNCT
iajs-3294	40	22	mean	mean	VERB
iajs-3294	40	23	residual	residual	ADJ
iajs-3294	40	24	time	time	NOUN
iajs-3294	40	25	.	.	PUNCT
iajs-3294	41	1	they	they	PRON
iajs-3294	41	2	also	also	ADV
iajs-3294	41	3	estimated	estimate	VERB
iajs-3294	41	4	the	the	DET
iajs-3294	41	5	parameters	parameter	NOUN
iajs-3294	41	6	of	of	ADP
iajs-3294	41	7	the	the	DET
iajs-3294	41	8	apird	apird	NOUN
iajs-3294	41	9	by	by	ADP
iajs-3294	41	10	using	use	VERB
iajs-3294	41	11	maximum	maximum	ADJ
iajs-3294	41	12	likelihood	likelihood	NOUN
iajs-3294	41	13	estimation	estimation	NOUN
iajs-3294	41	14	method	method	NOUN
iajs-3294	41	15	.	.	PUNCT
iajs-3294	42	1	[	[	X
iajs-3294	42	2	8	8	NUM
iajs-3294	42	3	]	]	PUNCT
iajs-3294	42	4	derived	derive	VERB
iajs-3294	42	5	minimum	minimum	NOUN
iajs-3294	42	6	expected	expect	VERB
iajs-3294	42	7	estimators	estimator	NOUN
iajs-3294	42	8	using	use	VERB
iajs-3294	42	9	the	the	DET
iajs-3294	42	10	maximum	maximum	ADJ
iajs-3294	42	11	likelihood	likelihood	NOUN
iajs-3294	42	12	(	(	PUNCT
iajs-3294	42	13	mle	mle	PROPN
iajs-3294	42	14	)	)	PUNCT
iajs-3294	42	15	of	of	ADP
iajs-3294	42	16	the	the	DET
iajs-3294	42	17	unknown	unknown	ADJ
iajs-3294	42	18	parameter	parameter	NOUN
iajs-3294	42	19	of	of	ADP
iajs-3294	42	20	the	the	DET
iajs-3294	42	21	inverse	inverse	NOUN
iajs-3294	42	22	rayleigh	rayleigh	NOUN
iajs-3294	42	23	distribution	distribution	NOUN
iajs-3294	42	24	(	(	PUNCT
iajs-3294	42	25	ird	ird	PROPN
iajs-3294	42	26	)	)	PUNCT
iajs-3294	42	27	.	.	PUNCT
iajs-3294	43	1	they	they	PRON
iajs-3294	43	2	consider	consider	VERB
iajs-3294	43	3	four	four	NUM
iajs-3294	43	4	different	different	ADJ
iajs-3294	43	5	loss	loss	NOUN
iajs-3294	43	6	functions	function	NOUN
iajs-3294	43	7	represented	represent	VERB
iajs-3294	43	8	by	by	ADP
iajs-3294	43	9	the	the	DET
iajs-3294	43	10	linear	linear	ADJ
iajs-3294	43	11	exponential	exponential	ADJ
iajs-3294	43	12	loss	loss	NOUN
iajs-3294	43	13	function	function	NOUN
iajs-3294	43	14	and	and	CCONJ
iajs-3294	43	15	the	the	DET
iajs-3294	43	16	precautionary	precautionary	ADJ
iajs-3294	43	17	loss	loss	NOUN
iajs-3294	43	18	function	function	NOUN
iajs-3294	43	19	,	,	PUNCT
iajs-3294	43	20	with	with	ADP
iajs-3294	43	21	the	the	DET
iajs-3294	43	22	other	other	ADJ
iajs-3294	43	23	two	two	NUM
iajs-3294	43	24	proposed	propose	VERB
iajs-3294	43	25	loss	loss	NOUN
iajs-3294	43	26	functions	function	NOUN
iajs-3294	43	27	.	.	PUNCT
iajs-3294	44	1	they	they	PRON
iajs-3294	44	2	depend	depend	VERB
iajs-3294	44	3	on	on	ADP
iajs-3294	44	4	the	the	DET
iajs-3294	44	5	relative	relative	ADJ
iajs-3294	44	6	efficiency	efficiency	NOUN
iajs-3294	44	7	of	of	ADP
iajs-3294	44	8	the	the	DET
iajs-3294	44	9	estimators	estimator	NOUN
iajs-3294	44	10	to	to	PART
iajs-3294	44	11	compare	compare	VERB
iajs-3294	44	12	the	the	DET
iajs-3294	44	13	different	different	ADJ
iajs-3294	44	14	estimators	estimator	NOUN
iajs-3294	44	15	of	of	ADP
iajs-3294	44	16	the	the	DET
iajs-3294	44	17	scale	scale	NOUN
iajs-3294	44	18	parameter	parameter	NOUN
iajs-3294	44	19	of	of	ADP
iajs-3294	44	20	the	the	DET
iajs-3294	44	21	ird	ird	PROPN
iajs-3294	44	22	.	.	PUNCT
iajs-3294	45	1	[	[	X
iajs-3294	45	2	9	9	NUM
iajs-3294	45	3	]	]	PUNCT
iajs-3294	45	4	obtain	obtain	VERB
iajs-3294	45	5	the	the	DET
iajs-3294	45	6	maximum	maximum	ADJ
iajs-3294	45	7	likelihood	likelihood	NOUN
iajs-3294	45	8	estimate	estimate	NOUN
iajs-3294	45	9	of	of	ADP
iajs-3294	45	10	the	the	DET
iajs-3294	45	11	scale	scale	NOUN
iajs-3294	45	12	parameter	parameter	NOUN
iajs-3294	45	13	of	of	ADP
iajs-3294	45	14	the	the	DET
iajs-3294	45	15	weighted	weight	VERB
iajs-3294	45	16	rayleigh	rayleigh	NOUN
iajs-3294	45	17	distribution	distribution	NOUN
iajs-3294	45	18	(	(	PUNCT
iajs-3294	45	19	wrd	wrd	PROPN
iajs-3294	45	20	)	)	PUNCT
iajs-3294	45	21	.	.	PUNCT
iajs-3294	46	1	they	they	PRON
iajs-3294	46	2	used	use	VERB
iajs-3294	46	3	the	the	DET
iajs-3294	46	4	bayesian	bayesian	NOUN
iajs-3294	46	5	method	method	NOUN
iajs-3294	46	6	to	to	PART
iajs-3294	46	7	estimate	estimate	VERB
iajs-3294	46	8	the	the	DET
iajs-3294	46	9	scale	scale	NOUN
iajs-3294	46	10	parameter	parameter	NOUN
iajs-3294	46	11	of	of	ADP
iajs-3294	46	12	the	the	DET
iajs-3294	46	13	wrd	wrd	PROPN
iajs-3294	46	14	.	.	PUNCT
iajs-3294	47	1	they	they	PRON
iajs-3294	47	2	derived	derive	VERB
iajs-3294	47	3	posterior	posterior	ADJ
iajs-3294	47	4	distributions	distribution	NOUN
iajs-3294	47	5	by	by	ADP
iajs-3294	47	6	using	use	VERB
iajs-3294	47	7	different	different	ADJ
iajs-3294	47	8	priors	prior	NOUN
iajs-3294	47	9	,	,	PUNCT
iajs-3294	47	10	namely	namely	ADV
iajs-3294	47	11	informative	informative	ADJ
iajs-3294	47	12	priors	prior	NOUN
iajs-3294	47	13	such	such	ADJ
iajs-3294	47	14	as	as	ADP
iajs-3294	47	15	the	the	DET
iajs-3294	47	16	gumbel	gumbel	PROPN
iajs-3294	47	17	type	type	NOUN
iajs-3294	47	18	ii	ii	NOUN
iajs-3294	47	19	distribution	distribution	NOUN
iajs-3294	47	20	and	and	CCONJ
iajs-3294	47	21	the	the	DET
iajs-3294	47	22	levy	levy	NOUN
iajs-3294	47	23	distribution	distribution	NOUN
iajs-3294	47	24	and	and	CCONJ
iajs-3294	47	25	non	non	ADJ
iajs-3294	47	26	-	-	ADJ
iajs-3294	47	27	informative	informative	ADJ
iajs-3294	47	28	priors	prior	NOUN
iajs-3294	47	29	such	such	ADJ
iajs-3294	47	30	as	as	ADP
iajs-3294	47	31	the	the	DET
iajs-3294	47	32	quasi	quasi	NOUN
iajs-3294	47	33	-	-	NOUN
iajs-3294	47	34	prior	prior	ADV
iajs-3294	47	35	.	.	PUNCT
iajs-3294	48	1	they	they	PRON
iajs-3294	48	2	obtained	obtain	VERB
iajs-3294	48	3	bayes	bayes	NOUN
iajs-3294	48	4	estimators	estimator	NOUN
iajs-3294	48	5	based	base	VERB
iajs-3294	48	6	on	on	ADP
iajs-3294	48	7	different	different	ADJ
iajs-3294	48	8	loss	loss	NOUN
iajs-3294	48	9	functions	function	NOUN
iajs-3294	48	10	represented	represent	VERB
iajs-3294	48	11	by	by	ADP
iajs-3294	48	12	squared	square	VERB
iajs-3294	48	13	error	error	NOUN
iajs-3294	48	14	losses	loss	NOUN
iajs-3294	48	15	and	and	CCONJ
iajs-3294	48	16	quadratic	quadratic	ADJ
iajs-3294	48	17	losses	loss	NOUN
iajs-3294	48	18	and	and	CCONJ
iajs-3294	48	19	precautionary	precautionary	ADJ
iajs-3294	48	20	loss	loss	NOUN
iajs-3294	48	21	functions	function	NOUN
iajs-3294	48	22	.	.	PUNCT
iajs-3294	49	1	they	they	PRON
iajs-3294	49	2	conduct	conduct	VERB
iajs-3294	49	3	a	a	DET
iajs-3294	49	4	simulation	simulation	NOUN
iajs-3294	49	5	study	study	NOUN
iajs-3294	49	6	to	to	PART
iajs-3294	49	7	compare	compare	VERB
iajs-3294	49	8	classical	classical	ADJ
iajs-3294	49	9	and	and	CCONJ
iajs-3294	49	10	bayesian	bayesian	NOUN
iajs-3294	49	11	estimates	estimate	NOUN
iajs-3294	49	12	of	of	ADP
iajs-3294	49	13	scale	scale	NOUN
iajs-3294	49	14	parameters	parameter	NOUN
iajs-3294	49	15	according	accord	VERB
iajs-3294	49	16	to	to	ADP
iajs-3294	49	17	the	the	DET
iajs-3294	49	18	mean	mean	ADJ
iajs-3294	49	19	squared	square	VERB
iajs-3294	49	20	error	error	NOUN
iajs-3294	49	21	(	(	PUNCT
iajs-3294	49	22	mse	mse	NOUN
iajs-3294	49	23	)	)	PUNCT
iajs-3294	49	24	criterion	criterion	NOUN
iajs-3294	49	25	for	for	ADP
iajs-3294	49	26	different	different	ADJ
iajs-3294	49	27	sample	sample	NOUN
iajs-3294	49	28	sizes	size	NOUN
iajs-3294	49	29	and	and	CCONJ
iajs-3294	49	30	for	for	ADP
iajs-3294	49	31	different	different	ADJ
iajs-3294	49	32	values	value	NOUN
iajs-3294	49	33	of	of	ADP
iajs-3294	49	34	the	the	DET
iajs-3294	49	35	parameters	parameter	NOUN
iajs-3294	49	36	.	.	PUNCT
iajs-3294	50	1	ihjpas	ihjpas	PROPN
iajs-3294	50	2	.	.	PUNCT
iajs-3294	51	1	2024	2024	NUM
iajs-3294	51	2	,	,	PUNCT
iajs-3294	51	3	37	37	NUM
iajs-3294	51	4	(	(	PUNCT
iajs-3294	51	5	3	3	NUM
iajs-3294	51	6	)	)	PUNCT
iajs-3294	51	7	356	356	NUM
iajs-3294	51	8	in	in	ADP
iajs-3294	51	9	this	this	DET
iajs-3294	51	10	study	study	NOUN
iajs-3294	51	11	will	will	AUX
iajs-3294	51	12	discuss	discuss	VERB
iajs-3294	51	13	different	different	ADJ
iajs-3294	51	14	estimation	estimation	NOUN
iajs-3294	51	15	methods	method	NOUN
iajs-3294	51	16	for	for	ADP
iajs-3294	51	17	the	the	DET
iajs-3294	51	18	unknown	unknown	ADJ
iajs-3294	51	19	scale	scale	NOUN
iajs-3294	51	20	parameter	parameter	NOUN
iajs-3294	51	21			PROPN
iajs-3294	51	22	for	for	ADP
iajs-3294	51	23	the	the	DET
iajs-3294	51	24	inverse	inverse	NOUN
iajs-3294	51	25	rayleigh	rayleigh	NOUN
iajs-3294	51	26	distribution	distribution	NOUN
iajs-3294	51	27	(	(	PUNCT
iajs-3294	51	28	ird	ird	PROPN
iajs-3294	51	29	)	)	PUNCT
iajs-3294	51	30	using	use	VERB
iajs-3294	51	31	the	the	DET
iajs-3294	51	32	maximum	maximum	ADJ
iajs-3294	51	33	likelihood	likelihood	NOUN
iajs-3294	51	34	estimator	estimator	NOUN
iajs-3294	51	35	(	(	PUNCT
iajs-3294	51	36	mle	mle	PROPN
iajs-3294	51	37	)	)	PUNCT
iajs-3294	51	38	and	and	CCONJ
iajs-3294	51	39	bayes	bayes	PROPN
iajs-3294	51	40	’	'	PUNCT
iajs-3294	51	41	estimators	estimator	NOUN
iajs-3294	51	42	based	base	VERB
iajs-3294	51	43	on	on	ADP
iajs-3294	51	44	the	the	DET
iajs-3294	51	45	general	general	ADJ
iajs-3294	51	46	entropy	entropy	NOUN
iajs-3294	51	47	loss	loss	NOUN
iajs-3294	51	48	function	function	NOUN
iajs-3294	51	49	(	(	PUNCT
iajs-3294	51	50	gelf	gelf	NOUN
iajs-3294	51	51	)	)	PUNCT
iajs-3294	51	52	,	,	PUNCT
iajs-3294	51	53	under	under	ADP
iajs-3294	51	54	different	different	ADJ
iajs-3294	51	55	prior	prior	ADJ
iajs-3294	51	56	distributions	distribution	NOUN
iajs-3294	51	57	(	(	PUNCT
iajs-3294	51	58	informative	informative	ADJ
iajs-3294	51	59	priors	prior	NOUN
iajs-3294	51	60	)	)	PUNCT
iajs-3294	51	61	which	which	PRON
iajs-3294	51	62	are	be	AUX
iajs-3294	51	63	the	the	DET
iajs-3294	51	64	inverse	inverse	ADJ
iajs-3294	51	65	gamma	gamma	NOUN
iajs-3294	51	66	distribution	distribution	NOUN
iajs-3294	51	67	,	,	PUNCT
iajs-3294	51	68	the	the	DET
iajs-3294	51	69	inverse	inverse	ADJ
iajs-3294	51	70	chi	chi	ADJ
iajs-3294	51	71	-	-	PUNCT
iajs-3294	51	72	square	square	ADJ
iajs-3294	51	73	distribution	distribution	NOUN
iajs-3294	51	74	,	,	PUNCT
iajs-3294	51	75	and	and	CCONJ
iajs-3294	51	76	the	the	DET
iajs-3294	51	77	standard	standard	ADJ
iajs-3294	51	78	levy	levy	NOUN
iajs-3294	51	79	distribution	distribution	NOUN
iajs-3294	51	80	.	.	PUNCT
iajs-3294	52	1	in	in	ADP
iajs-3294	52	2	order	order	NOUN
iajs-3294	52	3	to	to	PART
iajs-3294	52	4	compared	compare	VERB
iajs-3294	52	5	the	the	DET
iajs-3294	52	6	accuracy	accuracy	NOUN
iajs-3294	52	7	for	for	ADP
iajs-3294	52	8	bayes	baye	NOUN
iajs-3294	52	9	’	'	PUNCT
iajs-3294	52	10	estimators	estimator	NOUN
iajs-3294	52	11	with	with	ADP
iajs-3294	52	12	the	the	DET
iajs-3294	52	13	corresponding	corresponding	ADJ
iajs-3294	52	14	maximum	maximum	ADJ
iajs-3294	52	15	likelihood	likelihood	NOUN
iajs-3294	52	16	estimator	estimator	NOUN
iajs-3294	52	17	(	(	PUNCT
iajs-3294	52	18	mle	mle	PROPN
iajs-3294	52	19	)	)	PUNCT
iajs-3294	52	20	of	of	ADP
iajs-3294	52	21	the	the	DET
iajs-3294	52	22	scale	scale	NOUN
iajs-3294	52	23	parameter	parameter	NOUN
iajs-3294	52	24	of	of	ADP
iajs-3294	52	25	ird	ird	PROPN
iajs-3294	52	26	using	use	VERB
iajs-3294	52	27	the	the	DET
iajs-3294	52	28	mean	mean	ADJ
iajs-3294	52	29	square	square	ADJ
iajs-3294	52	30	error	error	NOUN
iajs-3294	52	31	criterion	criterion	NOUN
iajs-3294	52	32	(	(	PUNCT
iajs-3294	52	33	mse	mse	NOUN
iajs-3294	52	34	)	)	PUNCT
iajs-3294	52	35	.	.	PUNCT
iajs-3294	53	1	2.the	2.the	DET
iajs-3294	53	2	inverse	inverse	ADJ
iajs-3294	53	3	rayleigh	rayleigh	NOUN
iajs-3294	53	4	distribution	distribution	NOUN
iajs-3294	53	5	(	(	PUNCT
iajs-3294	53	6	ird	ird	PROPN
iajs-3294	53	7	)	)	PUNCT
iajs-3294	53	8	suppose	suppose	VERB
iajs-3294	53	9	that	that	SCONJ
iajs-3294	53	10	)	)	PUNCT
iajs-3294	53	11	t	t	PROPN
iajs-3294	53	12	,	,	PUNCT
iajs-3294	53	13	...	...	PUNCT
iajs-3294	53	14	,	,	PUNCT
iajs-3294	53	15	t,(t	t,(t	PROPN
iajs-3294	53	16	n21	n21	PROPN
iajs-3294	53	17	be	be	AUX
iajs-3294	53	18	a	a	DET
iajs-3294	53	19	random	random	ADJ
iajs-3294	53	20	variable	variable	NOUN
iajs-3294	53	21	from	from	ADP
iajs-3294	53	22	the	the	DET
iajs-3294	53	23	inverse	inverse	NOUN
iajs-3294	53	24	rayleigh	rayleigh	NOUN
iajs-3294	53	25	distribution	distribution	NOUN
iajs-3294	53	26	(	(	PUNCT
iajs-3294	53	27	ird	ird	PROPN
iajs-3294	53	28	)	)	PUNCT
iajs-3294	53	29	with	with	ADP
iajs-3294	53	30	the	the	DET
iajs-3294	53	31	scale	scale	NOUN
iajs-3294	53	32	parameter	parameter	NOUN
iajs-3294	53	33	0	0	NOUN
iajs-3294	53	34	with	with	ADP
iajs-3294	53	35	the	the	DET
iajs-3294	53	36	following	follow	VERB
iajs-3294	53	37	probability	probability	NOUN
iajs-3294	53	38	density	density	NOUN
iajs-3294	53	39	function	function	NOUN
iajs-3294	53	40	(	(	PUNCT
iajs-3294	53	41	pdf	pdf	NOUN
iajs-3294	53	42	)	)	PUNCT
iajs-3294	54	1	[	[	X
iajs-3294	54	2	2	2	NUM
iajs-3294	54	3	]	]	PUNCT
iajs-3294	54	4	:	:	PUNCT
iajs-3294	54	5	and	and	CCONJ
iajs-3294	54	6	the	the	DET
iajs-3294	54	7	cumulative	cumulative	ADJ
iajs-3294	54	8	distribution	distribution	NOUN
iajs-3294	54	9	function	function	NOUN
iajs-3294	54	10	is	be	AUX
iajs-3294	54	11	given	give	VERB
iajs-3294	54	12	by	by	ADP
iajs-3294	54	13	with	with	ADP
iajs-3294	54	14	the	the	DET
iajs-3294	54	15	reliability	reliability	NOUN
iajs-3294	54	16	function	function	NOUN
iajs-3294	54	17	is	be	AUX
iajs-3294	54	18	given	give	VERB
iajs-3294	54	19	by	by	ADP
iajs-3294	54	20	)	)	PUNCT
iajs-3294	54	21	3	3	NUM
iajs-3294	54	22	(	(	PUNCT
iajs-3294	54	23	0	0	NUM
iajs-3294	54	24	,	,	PUNCT
iajs-3294	54	25	0	0	NUM
iajs-3294	54	26	t	t	PROPN
iajs-3294	54	27	,	,	PUNCT
iajs-3294	54	28	)	)	PUNCT
iajs-3294	54	29	t	t	PROPN
iajs-3294	54	30	1	1	NUM
iajs-3294	54	31	exp(-1	exp(-1	ADJ
iajs-3294	54	32	)	)	PUNCT
iajs-3294	54	33	t	t	PROPN
iajs-3294	54	34	(	(	PUNCT
iajs-3294	54	35	f	f	X
iajs-3294	54	36	)	)	PUNCT
iajs-3294	54	37	t	t	PROPN
iajs-3294	54	38	(	(	PUNCT
iajs-3294	55	1	r	r	NOUN
iajs-3294	55	2	2	2	PROPN
iajs-3294	55	3	−==	−==	ADJ
iajs-3294	55	4			ADJ
iajs-3294	55	5			ADJ
iajs-3294	55	6	3	3	NUM
iajs-3294	55	7	.	.	PUNCT
iajs-3294	55	8	maximum	maximum	ADJ
iajs-3294	55	9	likelihood	likelihood	NOUN
iajs-3294	55	10	estimation	estimation	NOUN
iajs-3294	55	11	(	(	PUNCT
iajs-3294	55	12	mle	mle	PROPN
iajs-3294	55	13	)	)	PUNCT
iajs-3294	55	14	then	then	ADV
iajs-3294	55	15	the	the	DET
iajs-3294	55	16	likelihood	likelihood	NOUN
iajs-3294	55	17	function	function	NOUN
iajs-3294	55	18	for	for	ADP
iajs-3294	55	19	the	the	DET
iajs-3294	55	20	)	)	PUNCT
iajs-3294	55	21	t	t	PROPN
iajs-3294	55	22	,	,	PUNCT
iajs-3294	55	23	...	...	PUNCT
iajs-3294	55	24	,	,	PUNCT
iajs-3294	55	25	t,(t	t,(t	PROPN
iajs-3294	55	26	n21	n21	PROPN
iajs-3294	55	27	observations	observation	NOUN
iajs-3294	55	28	is	be	AUX
iajs-3294	55	29	defined	define	VERB
iajs-3294	55	30	by	by	ADP
iajs-3294	55	31	equation	equation	NOUN
iajs-3294	55	32	(	(	PUNCT
iajs-3294	55	33	1	1	X
iajs-3294	55	34	)	)	PUNCT
iajs-3294	56	1	[	[	X
iajs-3294	56	2	10,11	10,11	NOUN
iajs-3294	56	3	]	]	NOUN
iajs-3294	56	4	:	:	PUNCT
iajs-3294	56	5	)	)	PUNCT
iajs-3294	56	6	4	4	NUM
iajs-3294	56	7	(	(	PUNCT
iajs-3294	56	8	)	)	PUNCT
iajs-3294	56	9	t	t	NOUN
iajs-3294	56	10	1	1	NUM
iajs-3294	56	11	1	1	NUM
iajs-3294	56	12	exp	exp	NOUN
iajs-3294	56	13	(	(	PUNCT
iajs-3294	56	14	t	t	PROPN
iajs-3294	56	15	1	1	NUM
iajs-3294	56	16	π	π	PROPN
iajs-3294	56	17	2	2	NUM
iajs-3294	56	18	)	)	PUNCT
iajs-3294	56	19	;	;	PUNCT
iajs-3294	56	20	f(tπ	f(tπ	NUM
iajs-3294	56	21	)	)	PUNCT
iajs-3294	56	22	t	t	NOUN
iajs-3294	56	23	\	\	PUNCT
iajs-3294	57	1	(	(	PUNCT
iajs-3294	57	2	2	2	NUM
iajs-3294	57	3	i	i	PRON
iajs-3294	57	4	n	n	VERB
iajs-3294	57	5	1i3	1i3	NUM
iajs-3294	58	1	i	i	PRON
iajs-3294	58	2	n	n	VERB
iajs-3294	58	3	1i	1i	NUM
iajs-3294	58	4	n	n	CCONJ
iajs-3294	58	5	-	-	PUNCT
iajs-3294	58	6	n	n	NOUN
iajs-3294	58	7	i	i	NOUN
iajs-3294	58	8	n	n	NOUN
iajs-3294	58	9	1i	1i	NOUN
iajs-3294	58	10	==	==	NOUN
iajs-3294	58	11	=	=	PUNCT
iajs-3294	59	1	=	=	SYM
iajs-3294	59	2	=	=	SYM
iajs-3294	59	3			ADJ
iajs-3294	59	4			VERB
iajs-3294	59	5	the	the	DET
iajs-3294	59	6	log	log	NOUN
iajs-3294	59	7	-	-	PUNCT
iajs-3294	59	8	likelihood	likelihood	NOUN
iajs-3294	59	9	function	function	NOUN
iajs-3294	59	10	)	)	PUNCT
iajs-3294	59	11	(	(	PUNCT
iajs-3294	59	12	ln	ln	NOUN
iajs-3294	59	13	l	l	NOUN
iajs-3294	59	14	=	=	PUNCT
iajs-3294	59	15	is	be	AUX
iajs-3294	59	16	given	give	VERB
iajs-3294	59	17	by	by	ADP
iajs-3294	59	18	(	(	PUNCT
iajs-3294	59	19	5	5	NUM
iajs-3294	59	20	)	)	PUNCT
iajs-3294	59	21	t	t	NOUN
iajs-3294	59	22	1	1	NUM
iajs-3294	59	23	1	1	NUM
iajs-3294	59	24	-	-	PUNCT
iajs-3294	59	25	)	)	PUNCT
iajs-3294	59	26	t	t	NOUN
iajs-3294	59	27	1	1	NUM
iajs-3294	59	28	π	π	NOUN
iajs-3294	59	29	log	log	NOUN
iajs-3294	59	30	(	(	PUNCT
iajs-3294	59	31	)	)	PUNCT
iajs-3294	59	32	nlog	nlog	PROPN
iajs-3294	59	33	(	(	PUNCT
iajs-3294	59	34	)	)	PUNCT
iajs-3294	59	35	2	2	NUM
iajs-3294	59	36	log(l	log(l	NOUN
iajs-3294	59	37	2	2	NUM
iajs-3294	59	38	i	i	PRON
iajs-3294	59	39	n	n	VERB
iajs-3294	59	40	1i3	1i3	NUM
iajs-3294	60	1	i	i	PRON
iajs-3294	60	2	n	n	VERB
iajs-3294	60	3	1i	1i	NOUN
iajs-3294	60	4	n	n	X
iajs-3294	60	5	+−=	+−=	NOUN
iajs-3294	60	6	=	=	PUNCT
iajs-3294	60	7	=	=	PUNCT
iajs-3294	60	8			PROPN
iajs-3294	60	9			PROPN
iajs-3294	60	10	the	the	DET
iajs-3294	60	11	first	first	ADJ
iajs-3294	60	12	partial	partial	ADJ
iajs-3294	60	13	derivative	derivative	NOUN
iajs-3294	60	14	of	of	ADP
iajs-3294	60	15	log	log	NOUN
iajs-3294	60	16	of	of	ADP
iajs-3294	60	17	the	the	DET
iajs-3294	60	18	likelihood	likelihood	NOUN
iajs-3294	60	19	l	l	NOUN
iajs-3294	60	20	with	with	ADP
iajs-3294	60	21	respect	respect	NOUN
iajs-3294	60	22	to	to	ADP
iajs-3294	60	23			PROPN
iajs-3294	60	24	is	be	AUX
iajs-3294	60	25	obtained	obtain	VERB
iajs-3294	60	26	as	as	SCONJ
iajs-3294	60	27	follows	follow	VERB
iajs-3294	60	28	:	:	PUNCT
iajs-3294	60	29	(	(	PUNCT
iajs-3294	60	30	6	6	NUM
iajs-3294	60	31	)	)	PUNCT
iajs-3294	60	32	0	0	NUM
iajs-3294	61	1	t	t	PROPN
iajs-3294	61	2	1	1	NUM
iajs-3294	61	3	1n	1n	NUM
iajs-3294	61	4	-	-	PUNCT
iajs-3294	61	5	l	l	NOUN
iajs-3294	61	6	2	2	NUM
iajs-3294	61	7	i	i	PRON
iajs-3294	61	8	n	n	VERB
iajs-3294	61	9	1i2	1i2	NUM
iajs-3294	61	10	=	=	NUM
iajs-3294	61	11	+=	+=	X
iajs-3294	61	12			PROPN
iajs-3294	61	13			PROPN
iajs-3294	61	14	=	=	SYM
iajs-3294	61	15			PROPN
iajs-3294	61	16	then	then	ADV
iajs-3294	61	17	the	the	DET
iajs-3294	61	18	maximum	maximum	ADJ
iajs-3294	61	19	likelihood	likelihood	NOUN
iajs-3294	61	20	estimator(mle	estimator(mle	NOUN
iajs-3294	61	21	)	)	PUNCT
iajs-3294	61	22	of	of	ADP
iajs-3294	61	23			PROPN
iajs-3294	61	24	is	be	AUX
iajs-3294	61	25	given	give	VERB
iajs-3294	61	26	by	by	ADP
iajs-3294	61	27	(	(	PUNCT
iajs-3294	61	28	7	7	NUM
iajs-3294	61	29	)	)	PUNCT
iajs-3294	61	30	n	n	CCONJ
iajs-3294	61	31	)	)	PUNCT
iajs-3294	61	32	t	t	NOUN
iajs-3294	61	33	1	1	NUM
iajs-3294	61	34	(	(	PUNCT
iajs-3294	61	35	2	2	NUM
iajs-3294	61	36	i	i	NOUN
iajs-3294	61	37	n	n	VERB
iajs-3294	61	38	1i	1i	NOUN
iajs-3294	61	39	^	^	PUNCT
iajs-3294	61	40	mle	mle	NOUN
iajs-3294	61	41			X
iajs-3294	61	42	=	=	PUNCT
iajs-3294	62	1	=	=	PUNCT
iajs-3294	62	2			ADJ
iajs-3294	62	3	4	4	NUM
iajs-3294	62	4	.	.	PUNCT
iajs-3294	62	5	bayesian	bayesian	NOUN
iajs-3294	62	6	estimation	estimation	NOUN
iajs-3294	62	7	let	let	VERB
iajs-3294	62	8	us	we	PRON
iajs-3294	62	9	consider	consider	VERB
iajs-3294	62	10	the	the	DET
iajs-3294	62	11	bayes	bayes	NOUN
iajs-3294	62	12	estimators	estimator	NOUN
iajs-3294	62	13	for	for	ADP
iajs-3294	62	14	scale	scale	NOUN
iajs-3294	62	15	parameter	parameter	NOUN
iajs-3294	62	16	of	of	ADP
iajs-3294	62	17	an	an	DET
iajs-3294	62	18	ird	ird	NOUN
iajs-3294	62	19	under	under	ADP
iajs-3294	62	20	the	the	DET
iajs-3294	62	21	general	general	ADJ
iajs-3294	62	22	entropy	entropy	NOUN
iajs-3294	62	23	loss	loss	NOUN
iajs-3294	62	24	function	function	NOUN
iajs-3294	62	25	(	(	PUNCT
iajs-3294	62	26	gelf	gelf	NOUN
iajs-3294	62	27	)	)	PUNCT
iajs-3294	62	28	,	,	PUNCT
iajs-3294	62	29	based	base	VERB
iajs-3294	62	30	on	on	ADP
iajs-3294	62	31	different	different	ADJ
iajs-3294	62	32	priors	prior	NOUN
iajs-3294	62	33	.	.	PUNCT
iajs-3294	63	1	the	the	DET
iajs-3294	63	2	respective	respective	ADJ
iajs-3294	63	3	expressions	expression	NOUN
iajs-3294	63	4	have	have	AUX
iajs-3294	63	5	been	be	AUX
iajs-3294	63	6	presented	present	VERB
iajs-3294	63	7	by	by	ADP
iajs-3294	63	8	informative	informative	ADJ
iajs-3294	63	9	priors	prior	NOUN
iajs-3294	63	10	for	for	ADP
iajs-3294	63	11	unknown	unknown	ADJ
iajs-3294	63	12	scale	scale	NOUN
iajs-3294	63	13	parameter	parameter	NOUN
iajs-3294	63	14			PROPN
iajs-3294	63	15	which	which	PRON
iajs-3294	63	16	are	be	AUX
iajs-3294	63	17	the	the	DET
iajs-3294	63	18	inverse	inverse	ADJ
iajs-3294	63	19	gamma	gamma	NOUN
iajs-3294	63	20	distribution	distribution	NOUN
iajs-3294	63	21	,	,	PUNCT
iajs-3294	63	22	the	the	DET
iajs-3294	63	23	inverse	inverse	ADJ
iajs-3294	63	24	chi	chi	ADJ
iajs-3294	63	25	-	-	PUNCT
iajs-3294	63	26	square	square	ADJ
iajs-3294	63	27	distribution	distribution	NOUN
iajs-3294	63	28	,	,	PUNCT
iajs-3294	63	29	and	and	CCONJ
iajs-3294	63	30	the	the	DET
iajs-3294	63	31	standard	standard	ADJ
iajs-3294	63	32	levy	levy	NOUN
iajs-3294	63	33	distribution	distribution	NOUN
iajs-3294	63	34	as	as	ADP
iajs-3294	63	35	prior	prior	ADJ
iajs-3294	63	36	distributions	distribution	NOUN
iajs-3294	63	37	.	.	PUNCT
iajs-3294	64	1	and	and	CCONJ
iajs-3294	64	2	we	we	PRON
iajs-3294	64	3	derived	derive	VERB
iajs-3294	64	4	the	the	DET
iajs-3294	64	5	posterior	posterior	ADJ
iajs-3294	64	6	density	density	NOUN
iajs-3294	64	7	using	use	VERB
iajs-3294	64	8	the	the	DET
iajs-3294	64	9	different	different	ADJ
iajs-3294	64	10	informative	informative	ADJ
iajs-3294	64	11	priors	prior	NOUN
iajs-3294	64	12	as	as	SCONJ
iajs-3294	64	13	shown	show	VERB
iajs-3294	64	14	in	in	ADP
iajs-3294	64	15	the	the	DET
iajs-3294	64	16	next	next	ADJ
iajs-3294	64	17	section	section	NOUN
iajs-3294	64	18	.	.	PUNCT
iajs-3294	64	19	)	)	PUNCT
iajs-3294	65	1	2	2	NUM
iajs-3294	65	2	(	(	PUNCT
iajs-3294	65	3	0	0	NUM
iajs-3294	65	4	,	,	PUNCT
iajs-3294	65	5	0	0	NUM
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iajs-3294	65	34	(	(	PUNCT
iajs-3294	65	35	t	t	PROPN
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iajs-3294	65	38	t	t	PROPN
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iajs-3294	65	44			INTJ
iajs-3294	65	45			NOUN
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iajs-3294	65	47			PROPN
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iajs-3294	65	49			ADJ
iajs-3294	65	50			PROPN
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iajs-3294	65	52	2	2	NUM
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iajs-3294	65	54	(	(	PUNCT
iajs-3294	65	55	3	3	X
iajs-3294	65	56	)	)	PUNCT
iajs-3294	65	57	(	(	PUNCT
iajs-3294	65	58	4	4	X
iajs-3294	65	59	)	)	PUNCT
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iajs-3294	66	2	,	,	PUNCT
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iajs-3294	66	5	3	3	NUM
iajs-3294	66	6	)	)	PUNCT
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iajs-3294	67	11	we	we	PRON
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iajs-3294	67	30	)	)	PUNCT
iajs-3294	67	31	η	η	PROPN
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iajs-3294	67	36	12	12	NUM
iajs-3294	67	37	,	,	PUNCT
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iajs-3294	67	39	,	,	PUNCT
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iajs-3294	67	43	(	(	PUNCT
iajs-3294	67	44	8)	8)	NUM
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iajs-3294	67	46	,	,	PUNCT
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iajs-3294	67	50	w	w	PROPN
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iajs-3294	67	54	(	(	PUNCT
iajs-3294	67	55	η	η	PROPN
iajs-3294	67	56	)	)	PUNCT
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iajs-3294	67	67	η	η	PROPN
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iajs-3294	67	71			PROPN
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iajs-3294	67	91	9	9	X
iajs-3294	67	92	)	)	PUNCT
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iajs-3294	67	94	(	(	PUNCT
iajs-3294	67	95	g	g	PROPN
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iajs-3294	67	109	t	t	PROPN
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iajs-3294	67	117	t	t	PROPN
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iajs-3294	68	5	1	1	NUM
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iajs-3294	75	7			ADJ
iajs-3294	75	8			ADJ
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iajs-3294	75	12			PROPN
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iajs-3294	121	13	i	i	PRON
iajs-3294	121	14	+	+	VERB
iajs-3294	121	15			X
iajs-3294	121	16	+	+	X
iajs-3294	121	17	+	+	X
iajs-3294	121	18			X
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iajs-3294	122	7			PROPN
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iajs-3294	124	8	+	+	X
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iajs-3294	124	21	(	(	PUNCT
iajs-3294	124	22	n	n	X
iajs-3294	124	23	0.5k	0.5k	NOUN
iajs-3294	124	24	)	)	PUNCT
iajs-3294	124	25	t	t	PROPN
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iajs-3294	124	28	t	t	PROPN
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iajs-3294	125	1	\	\	PROPN
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iajs-3294	126	4	2	2	NUM
iajs-3294	126	5	2	2	NUM
iajs-3294	126	6	i	i	NOUN
iajs-3294	126	7	n	n	VERB
iajs-3294	126	8	1i	1i	NOUN
iajs-3294	126	9	−++	−++	ADP
iajs-3294	126	10	+	+	NOUN
iajs-3294	126	11			X
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iajs-3294	126	13	=	=	SYM
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iajs-3294	127	17			ADJ
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iajs-3294	127	21	the	the	DET
iajs-3294	127	22	standard	standard	ADJ
iajs-3294	127	23	levy	levy	NOUN
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iajs-3294	127	30	)	)	PUNCT
iajs-3294	127	31	(	(	PUNCT
iajs-3294	127	32			X
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iajs-3294	127	34	21	21	NUM
iajs-3294	127	35	,	,	PUNCT
iajs-3294	127	36	22	22	NUM
iajs-3294	127	37	,	,	PUNCT
iajs-3294	127	38	23,24]as	23,24]as	NUM
iajs-3294	127	39	(	(	PUNCT
iajs-3294	127	40	21	21	NUM
iajs-3294	127	41	)	)	PUNCT
iajs-3294	127	42	0	0	NUM
iajs-3294	127	43	,	,	PUNCT
iajs-3294	127	44	0	0	NUM
iajs-3294	127	45	,	,	PUNCT
iajs-3294	127	46	)	)	PUNCT
iajs-3294	127	47	2	2	NUM
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iajs-3294	127	49	(	(	PUNCT
iajs-3294	127	50	)	)	PUNCT
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iajs-3294	127	52	(	(	PUNCT
iajs-3294	127	53	α	α	PROPN
iajs-3294	127	54	)	)	PUNCT
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iajs-3294	127	56	(	(	PUNCT
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iajs-3294	127	59	2	2	NUM
iajs-3294	127	60	3	3	NUM
iajs-3294	127	61	(	(	PUNCT
iajs-3294	127	62	2	2	NUM
iajs-3294	127	63	1	1	NUM
iajs-3294	127	64	3	3	NUM
iajs-3294	127	65	−	−	NOUN
iajs-3294	127	66	−	−	PROPN
iajs-3294	127	67			NOUN
iajs-3294	127	68			PROPN
iajs-3294	127	69			X
iajs-3294	127	70			PROPN
iajs-3294	127	71			X
iajs-3294	127	72			X
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iajs-3294	127	74	equation	equation	NOUN
iajs-3294	127	75	(	(	PUNCT
iajs-3294	127	76	4	4	NUM
iajs-3294	127	77	)	)	PUNCT
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iajs-3294	127	79	equation	equation	NOUN
iajs-3294	127	80	(	(	PUNCT
iajs-3294	127	81	21	21	NUM
iajs-3294	127	82	)	)	PUNCT
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iajs-3294	127	85	(	(	PUNCT
iajs-3294	127	86	9	9	NUM
iajs-3294	127	87	)	)	PUNCT
iajs-3294	127	88	,	,	PUNCT
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iajs-3294	127	92	probability	probability	NOUN
iajs-3294	127	93	density	density	NOUN
iajs-3294	127	94	function	function	NOUN
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iajs-3294	127	99			PROPN
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iajs-3294	127	103	-	-	PUNCT
iajs-3294	127	104	18	18	NUM
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iajs-3294	127	106	:	:	PUNCT
iajs-3294	127	107	(	(	PUNCT
iajs-3294	127	108	22	22	X
iajs-3294	127	109	)	)	PUNCT
iajs-3294	127	110	d	d	NOUN
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iajs-3294	127	112	)	)	PUNCT
iajs-3294	127	113	2	2	NUM
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iajs-3294	127	115	(	(	PUNCT
iajs-3294	127	116	)	)	PUNCT
iajs-3294	127	117	2π	2π	NOUN
iajs-3294	127	118	]	]	PUNCT
iajs-3294	128	1	[	[	X
iajs-3294	128	2	(	(	PUNCT
iajs-3294	128	3	)	)	PUNCT
iajs-3294	128	4	t	t	NOUN
iajs-3294	128	5	1	1	NUM
iajs-3294	128	6	1	1	NUM
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iajs-3294	128	9	t	t	PROPN
iajs-3294	128	10	1	1	NUM
iajs-3294	128	11	π2	π2	PROPN
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iajs-3294	128	15	)	)	PUNCT
iajs-3294	128	16	2	2	NUM
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iajs-3294	128	18	(	(	PUNCT
iajs-3294	128	19	)	)	PUNCT
iajs-3294	128	20	2π	2π	PROPN
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iajs-3294	128	23	]	]	X
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iajs-3294	128	25	t	t	NOUN
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iajs-3294	128	30	t	t	PROPN
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iajs-3294	128	35	t	t	NOUN
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iajs-3294	129	7	2	2	NUM
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iajs-3294	129	9	2	2	NUM
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iajs-3294	129	12	1i3	1i3	NUM
iajs-3294	130	1	i	i	PRON
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iajs-3294	130	3	1i	1i	NUM
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iajs-3294	130	8	2	2	NUM
iajs-3294	130	9	3	3	NUM
iajs-3294	130	10	(	(	PUNCT
iajs-3294	130	11	2	2	NUM
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iajs-3294	130	13	2	2	NUM
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iajs-3294	130	15	n	n	VERB
iajs-3294	130	16	1i3	1i3	NUM
iajs-3294	131	1	i	i	PRON
iajs-3294	131	2	n	n	VERB
iajs-3294	131	3	1i	1i	NUM
iajs-3294	131	4	n	n	CCONJ
iajs-3294	131	5	-	-	PUNCT
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iajs-3294	131	7	3	3	NUM
iajs-3294	131	8			ADJ
iajs-3294	131	9			PROPN
iajs-3294	131	10			X
iajs-3294	131	11			ADJ
iajs-3294	131	12			PRON
iajs-3294	131	13			ADJ
iajs-3294	131	14			ADJ
iajs-3294	131	15			ADJ
iajs-3294	131	16			PROPN
iajs-3294	131	17			X
iajs-3294	131	18			ADJ
iajs-3294	131	19			PRON
iajs-3294	131	20			ADJ
iajs-3294	131	21			ADJ
iajs-3294	131	22			ADJ
iajs-3294	131	23	−	−	X
iajs-3294	131	24			NOUN
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iajs-3294	134	12	1	1	NUM
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iajs-3294	134	14	)	)	PUNCT
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iajs-3294	134	18	1	1	NUM
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iajs-3294	134	20	1	1	NUM
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iajs-3294	134	22	(	(	PUNCT
iajs-3294	134	23	t	t	PROPN
iajs-3294	134	24	)	)	PUNCT
iajs-3294	134	25	\	\	PUNCT
iajs-3294	135	1	(	(	PUNCT
iajs-3294	135	2	π	π	NOUN
iajs-3294	135	3	2	2	NUM
iajs-3294	135	4	i	i	NOUN
iajs-3294	135	5	n	n	VERB
iajs-3294	135	6	1i	1i	NOUN
iajs-3294	135	7	1)0.5)((n	1)0.5)((n	NOUN
iajs-3294	135	8	2	2	NUM
iajs-3294	135	9	i	i	PRON
iajs-3294	135	10	n	n	VERB
iajs-3294	135	11	1i	1i	NOUN
iajs-3294	135	12	1)0.5)((n	1)0.5)((n	NOUN
iajs-3294	135	13	3	3	NUM
iajs-3294	135	14			X
iajs-3294	135	15			ADJ
iajs-3294	135	16			PROPN
iajs-3294	135	17			ADJ
iajs-3294	135	18			ADJ
iajs-3294	135	19			ADJ
iajs-3294	135	20			PROPN
iajs-3294	135	21			PROPN
iajs-3294	135	22	+	+	NOUN
iajs-3294	135	23			NOUN
iajs-3294	135	24			NOUN
iajs-3294	135	25	=	=	PUNCT
iajs-3294	135	26	+	+	NOUN
iajs-3294	135	27			X
iajs-3294	135	28	=	=	PUNCT
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iajs-3294	137	2	+	+	NOUN
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iajs-3294	137	4	=	=	SYM
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iajs-3294	138	11	23	23	NUM
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iajs-3294	139	6	(	(	PUNCT
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iajs-3294	139	9	)	)	PUNCT
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iajs-3294	142	4			X
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iajs-3294	142	8			X
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iajs-3294	142	19	,	,	PUNCT
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iajs-3294	142	23	.	.	PUNCT
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iajs-3294	143	5	3	3	NUM
iajs-3294	143	6	)	)	PUNCT
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iajs-3294	143	8	(	(	PUNCT
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iajs-3294	143	10	)	)	PUNCT
iajs-3294	143	11	)	)	PUNCT
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iajs-3294	143	17	1	1	NUM
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iajs-3294	143	19	(	(	PUNCT
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iajs-3294	143	23	0.5)γ(n	0.5)γ(n	ADJ
iajs-3294	143	24	)	)	PUNCT
iajs-3294	143	25	0.5ω	0.5ω	PUNCT
iajs-3294	143	26	t	t	NOUN
iajs-3294	143	27	1	1	NUM
iajs-3294	143	28	(	(	PUNCT
iajs-3294	143	29	t	t	PROPN
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iajs-3294	143	31	\	\	PUNCT
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iajs-3294	144	6	1)0.5)((n	1)0.5)((n	NOUN
iajs-3294	144	7	0.5)(n	0.5)(n	PROPN
iajs-3294	144	8	2	2	NUM
iajs-3294	144	9	i	i	NOUN
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iajs-3294	144	11	1i	1i	NOUN
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iajs-3294	144	13	i	i	PRON
iajs-3294	144	14			VERB
iajs-3294	144	15			PROPN
iajs-3294	144	16			ADJ
iajs-3294	144	17			PROPN
iajs-3294	144	18			PROPN
iajs-3294	144	19	+	+	NOUN
iajs-3294	144	20			X
iajs-3294	144	21	+	+	X
iajs-3294	144	22	+	+	X
iajs-3294	144	23			X
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iajs-3294	144	25	=	=	PUNCT
iajs-3294	145	1	+	+	PROPN
iajs-3294	145	2	+	+	ADJ
iajs-3294	145	3	−	−	NOUN
iajs-3294	145	4	+	+	NOUN
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iajs-3294	145	7	(	(	PUNCT
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iajs-3294	145	9	)	)	PUNCT
iajs-3294	145	10	1))d0.5	1))d0.5	NUM
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iajs-3294	145	12	1	1	NUM
iajs-3294	145	13	(	(	PUNCT
iajs-3294	145	14	1	1	NUM
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iajs-3294	145	16	(	(	PUNCT
iajs-3294	145	17	0.5)γ(n	0.5)γ(n	ADJ
iajs-3294	145	18	)	)	PUNCT
iajs-3294	146	1	0.5ω	0.5ω	PUNCT
iajs-3294	146	2	t	t	NOUN
iajs-3294	146	3	1	1	NUM
iajs-3294	146	4	(	(	PUNCT
iajs-3294	146	5	0	0	NUM
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iajs-3294	146	7	a3(t	a3(t	PROPN
iajs-3294	146	8	;	;	PUNCT
iajs-3294	146	9	2	2	NUM
iajs-3294	146	10	n	n	NUM
iajs-3294	146	11	1i	1i	NUM
iajs-3294	146	12	1)0.5)((n	1)0.5)((n	NOUN
iajs-3294	146	13	0.5)(n	0.5)(n	PROPN
iajs-3294	146	14	2	2	NUM
iajs-3294	147	1	i	i	NOUN
iajs-3294	147	2	n	n	VERB
iajs-3294	147	3	1i	1i	NOUN
iajs-3294	147	4	i	i	NOUN
iajs-3294	148	1	=	=	SYM
iajs-3294	148	2	+	+	ADJ
iajs-3294	148	3			X
iajs-3294	148	4	+	+	X
iajs-3294	148	5	+	+	X
iajs-3294	148	6			X
iajs-3294	148	7			PUNCT
iajs-3294	148	8			VERB
iajs-3294	148	9	=	=	PUNCT
iajs-3294	149	1	=	=	PUNCT
iajs-3294	150	1	+	+	PROPN
iajs-3294	150	2	+	+	ADJ
iajs-3294	150	3	−	−	NOUN
iajs-3294	150	4	+	+	SYM
iajs-3294	150	5	=	=	SYM
iajs-3294	150	6			X
iajs-3294	150	7			PROPN
iajs-3294	150	8			PROPN
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iajs-3294	150	11	(	(	PUNCT
iajs-3294	150	12	25	25	NUM
iajs-3294	150	13	)	)	PUNCT
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iajs-3294	150	25	[	[	X
iajs-3294	150	26	12	12	NUM
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iajs-3294	150	28	.	.	PUNCT
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iajs-3294	151	5			PROPN
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iajs-3294	151	12	(	(	PUNCT
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iajs-3294	151	14	)	)	PUNCT
iajs-3294	151	15	)	)	PUNCT
iajs-3294	151	16	)	)	PUNCT
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iajs-3294	151	21	1	1	NUM
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iajs-3294	151	23	(	(	PUNCT
iajs-3294	151	24	0.5)γ(n	0.5)γ(n	ADJ
iajs-3294	151	25	)	)	PUNCT
iajs-3294	152	1	0.5ω	0.5ω	PUNCT
iajs-3294	152	2	t	t	NOUN
iajs-3294	152	3	1	1	NUM
iajs-3294	152	4	(	(	PUNCT
iajs-3294	152	5	t	t	PROPN
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iajs-3294	152	7	\	\	PUNCT
iajs-3294	153	1	(	(	PUNCT
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iajs-3294	153	3	2	2	NUM
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iajs-3294	153	5	1i	1i	NUM
iajs-3294	153	6	1)0.5)((n	1)0.5)((n	NOUN
iajs-3294	153	7	0.5)(nn	0.5)(nn	X
iajs-3294	153	8	1i	1i	NOUN
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iajs-3294	153	10	i	i	NOUN
iajs-3294	153	11	2	2	NUM
iajs-3294	153	12	i	i	PRON
iajs-3294	153	13			VERB
iajs-3294	153	14			PROPN
iajs-3294	153	15			PROPN
iajs-3294	153	16	+	+	NOUN
iajs-3294	153	17			X
iajs-3294	153	18	+	+	X
iajs-3294	153	19	+	+	X
iajs-3294	153	20			X
iajs-3294	153	21	=	=	PUNCT
iajs-3294	153	22	=	=	PUNCT
iajs-3294	154	1	+	+	PROPN
iajs-3294	154	2	+	+	ADJ
iajs-3294	154	3	−	−	NOUN
iajs-3294	154	4	+	+	X
iajs-3294	154	5	=	=	SYM
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iajs-3294	154	7	t	t	X
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iajs-3294	154	9	\(	\(	PROPN
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iajs-3294	154	19	0.5)(n	0.5)(n	PUNCT
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iajs-3294	155	11	2	2	NUM
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iajs-3294	155	13	1i	1i	NOUN
iajs-3294	156	1	i	i	PRON
iajs-3294	156	2	+	+	VERB
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iajs-3294	156	8	1)-	1)-	NUM
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iajs-3294	157	6	1i	1i	NOUN
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iajs-3294	157	8	+	+	X
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iajs-3294	157	21	)	)	PUNCT
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iajs-3294	157	32	(	(	PUNCT
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iajs-3294	157	38	1i	1i	NOUN
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iajs-3294	157	42			X
iajs-3294	157	43	=	=	PUNCT
iajs-3294	157	44			X
iajs-3294	157	45			PROPN
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iajs-3294	159	2	25	25	NUM
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iajs-3294	159	4	(	(	PUNCT
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iajs-3294	159	6	)	)	PUNCT
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iajs-3294	159	13	gelf	gelf	NOUN
iajs-3294	159	14	,	,	PUNCT
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iajs-3294	159	16	as	as	ADP
iajs-3294	159	17	[	[	X
iajs-3294	159	18	26	26	NUM
iajs-3294	159	19	]	]	PUNCT
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iajs-3294	159	21	the	the	DET
iajs-3294	159	22	gelf	gelf	NOUN
iajs-3294	159	23	by	by	ADP
iajs-3294	159	24	setting	set	VERB
iajs-3294	159	25	the	the	DET
iajs-3294	159	26	shape	shape	NOUN
iajs-3294	159	27	parameter	parameter	NOUN
iajs-3294	159	28	equal	equal	ADJ
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iajs-3294	159	30	)	)	PUNCT
iajs-3294	159	31	3(	3(	NUM
iajs-3294	159	32	.	.	PUNCT
iajs-3294	160	1	[	[	X
iajs-3294	160	2	27	27	NUM
iajs-3294	160	3	]	]	PUNCT
iajs-3294	160	4	also	also	ADV
iajs-3294	160	5	used	use	VERB
iajs-3294	160	6	gelf	gelf	NOUN
iajs-3294	160	7	,	,	PUNCT
iajs-3294	160	8	by	by	ADP
iajs-3294	160	9	setting	set	VERB
iajs-3294	160	10	the	the	DET
iajs-3294	160	11	shape	shape	NOUN
iajs-3294	160	12	parameter	parameter	NOUN
iajs-3294	160	13	to	to	PART
iajs-3294	160	14	be	be	AUX
iajs-3294	160	15	one	one	NUM
iajs-3294	160	16	and	and	CCONJ
iajs-3294	160	17	two	two	NUM
iajs-3294	160	18	.	.	PUNCT
iajs-3294	161	1	[	[	X
iajs-3294	161	2	28	28	NUM
iajs-3294	161	3	]	]	X
iajs-3294	161	4	used	use	VERB
iajs-3294	161	5	gelf	gelf	NOUN
iajs-3294	161	6	,	,	PUNCT
iajs-3294	161	7	by	by	ADP
iajs-3294	161	8	setting	set	VERB
iajs-3294	161	9	the	the	DET
iajs-3294	161	10	shape	shape	NOUN
iajs-3294	161	11	parameter	parameter	NOUN
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iajs-3294	161	14	one	one	NUM
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iajs-3294	162	10	gelf	gelf	NOUN
iajs-3294	162	11	)	)	PUNCT
iajs-3294	162	12	to	to	PART
iajs-3294	162	13	obtain	obtain	VERB
iajs-3294	162	14	bayes	bayes	NOUN
iajs-3294	162	15	estimators	estimator	NOUN
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iajs-3294	162	20	as	as	SCONJ
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iajs-3294	162	22	[	[	X
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iajs-3294	162	25	30	30	NUM
iajs-3294	162	26	]	]	NUM
iajs-3294	162	27	:	:	PUNCT
iajs-3294	162	28	(	(	PUNCT
iajs-3294	162	29	27	27	NUM
iajs-3294	162	30	)	)	PUNCT
iajs-3294	162	31	0a	0a	PROPN
iajs-3294	162	32	,	,	PUNCT
iajs-3294	162	33	1)(alog	1)(alog	NUM
iajs-3294	162	34	)	)	PUNCT
iajs-3294	162	35	(	(	PUNCT
iajs-3294	162	36	)	)	PUNCT
iajs-3294	162	37	,	,	PUNCT
iajs-3294	162	38	l	l	NOUN
iajs-3294	162	39	(	(	PUNCT
iajs-3294	162	40	^	^	PUNCT
iajs-3294	162	41	e	e	X
iajs-3294	162	42	a	a	X
iajs-3294	162	43	^	^	PUNCT
iajs-3294	162	44	^	^	PUNCT
iajs-3294	162	45	−−=	−−=	PROPN
iajs-3294	162	46			ADJ
iajs-3294	162	47			ADJ
iajs-3294	162	48			PROPN
iajs-3294	162	49			PROPN
iajs-3294	162	50			PROPN
iajs-3294	162	51	with	with	ADP
iajs-3294	162	52	the	the	DET
iajs-3294	162	53	shape	shape	NOUN
iajs-3294	162	54	parameter	parameter	NOUN
iajs-3294	162	55	(	(	PUNCT
iajs-3294	162	56	a	a	NOUN
iajs-3294	162	57	)	)	PUNCT
iajs-3294	162	58	of	of	ADP
iajs-3294	162	59	general	general	ADJ
iajs-3294	162	60	entropy	entropy	NOUN
iajs-3294	162	61	loss	loss	NOUN
iajs-3294	162	62	function	function	NOUN
iajs-3294	162	63	[	[	X
iajs-3294	162	64	25	25	NUM
iajs-3294	162	65	]	]	PUNCT
iajs-3294	162	66	.	.	PUNCT
iajs-3294	163	1	then	then	ADV
iajs-3294	163	2	we	we	PRON
iajs-3294	163	3	can	can	AUX
iajs-3294	163	4	define	define	VERB
iajs-3294	163	5	the	the	DET
iajs-3294	163	6	risk	risk	NOUN
iajs-3294	163	7	function	function	NOUN
iajs-3294	163	8	as	as	SCONJ
iajs-3294	163	9	follows	follow	VERB
iajs-3294	163	10	(	(	PUNCT
iajs-3294	163	11	28	28	NUM
iajs-3294	163	12	)	)	PUNCT
iajs-3294	163	13	t)d\	t)d\	NOUN
iajs-3294	163	14	(	(	PUNCT
iajs-3294	163	15	π1))(alog)((1))(alog)e	π1))(alog)((1))(alog)e	X
iajs-3294	163	16	(	(	PUNCT
iajs-3294	163	17	(	(	PUNCT
iajs-3294	163	18	)	)	PUNCT
iajs-3294	163	19	]	]	PUNCT
iajs-3294	163	20	,	,	PUNCT
iajs-3294	163	21	e[l	e[l	NOUN
iajs-3294	163	22	(	(	PUNCT
iajs-3294	163	23	)	)	PUNCT
iajs-3294	163	24	,	,	PUNCT
iajs-3294	163	25	r	r	X
iajs-3294	163	26	(	(	PUNCT
iajs-3294	163	27	^	^	PUNCT
iajs-3294	163	28	e	e	X
iajs-3294	163	29	a	a	PRON
iajs-3294	163	30	^^	^^	PUNCT
iajs-3294	163	31	e	e	X
iajs-3294	163	32	a	a	X
iajs-3294	163	33	^	^	PUNCT
iajs-3294	163	34	^^	^^	PUNCT
iajs-3294	163	35			PROPN
iajs-3294	163	36			ADJ
iajs-3294	163	37			ADJ
iajs-3294	163	38			ADJ
iajs-3294	163	39			PROPN
iajs-3294	163	40			PROPN
iajs-3294	163	41			ADJ
iajs-3294	163	42			PROPN
iajs-3294	163	43			PROPN
iajs-3294	163	44			PROPN
iajs-3294	163	45	−−=−−==	−−=−−==	PROPN
iajs-3294	163	46	(	(	PUNCT
iajs-3294	163	47	29	29	NUM
iajs-3294	163	48	)	)	PUNCT
iajs-3294	163	49	d	d	NOUN
iajs-3294	163	50	)	)	PUNCT
iajs-3294	163	51	t)d\	t)d\	NOUN
iajs-3294	163	52	(	(	PUNCT
iajs-3294	163	53	π1t)d\	π1t)d\	NUM
iajs-3294	163	54	(	(	PUNCT
iajs-3294	163	55	)	)	PUNCT
iajs-3294	163	56	π(logat)d\	π(logat)d\	NUM
iajs-3294	163	57	π	π	NOUN
iajs-3294	163	58	(	(	PUNCT
iajs-3294	163	59	)	)	PUNCT
iajs-3294	163	60	(	(	PUNCT
iajs-3294	163	61	)	)	PUNCT
iajs-3294	163	62	,	,	PUNCT
iajs-3294	163	63	r	r	X
iajs-3294	163	64	(	(	PUNCT
iajs-3294	163	65	^	^	PUNCT
iajs-3294	163	66	e	e	X
iajs-3294	163	67	a	a	X
iajs-3294	163	68	^	^	PUNCT
iajs-3294	163	69	^	^	PUNCT
iajs-3294	163	70			PROPN
iajs-3294	163	71			PROPN
iajs-3294	163	72			PROPN
iajs-3294	163	73			ADJ
iajs-3294	163	74			ADJ
iajs-3294	163	75			PROPN
iajs-3294	163	76			PROPN
iajs-3294	163	77			ADJ
iajs-3294	163	78			ADJ
iajs-3294	163	79			PROPN
iajs-3294	163	80			PROPN
iajs-3294	163	81	−−=	−−=	NOUN
iajs-3294	163	82	ihjpas	ihjpa	NOUN
iajs-3294	163	83	.	.	PUNCT
iajs-3294	164	1	2024	2024	NUM
iajs-3294	164	2	,	,	PUNCT
iajs-3294	164	3	37	37	NUM
iajs-3294	164	4	(	(	PUNCT
iajs-3294	164	5	3	3	NUM
iajs-3294	164	6	)	)	PUNCT
iajs-3294	164	7	361	361	NUM
iajs-3294	164	8	the	the	DET
iajs-3294	164	9	equation	equation	NOUN
iajs-3294	164	10	(	(	PUNCT
iajs-3294	164	11	30	30	NUM
iajs-3294	164	12	)	)	PUNCT
iajs-3294	164	13	satisfies	satisfy	VERB
iajs-3294	164	14	the	the	DET
iajs-3294	164	15	following	follow	VERB
iajs-3294	164	16	condition	condition	NOUN
iajs-3294	164	17	0	0	NUM
iajs-3294	164	18	)	)	PUNCT
iajs-3294	164	19	,	,	PUNCT
iajs-3294	164	20	k	k	X
iajs-3294	164	21	(	(	PUNCT
iajs-3294	164	22	^	^	PUNCT
iajs-3294	164	23	^	^	PUNCT
iajs-3294	164	24	=	=	SYM
iajs-3294	164	25			ADJ
iajs-3294	164	26			ADJ
iajs-3294	164	27			PROPN
iajs-3294	164	28			PROPN
iajs-3294	164	29	and	and	CCONJ
iajs-3294	164	30	we	we	PRON
iajs-3294	164	31	have	have	VERB
iajs-3294	164	32	(	(	PUNCT
iajs-3294	164	33	31	31	NUM
iajs-3294	164	34	)	)	PUNCT
iajs-3294	164	35	)	)	PUNCT
iajs-3294	164	36	(	(	PUNCT
iajs-3294	164	37	at)\e	at)\e	NOUN
iajs-3294	164	38	(	(	PUNCT
iajs-3294	164	39	)	)	PUNCT
iajs-3294	164	40	(	(	PUNCT
iajs-3294	164	41	a	a	DET
iajs-3294	164	42	1^	1^	PROPN
iajs-3294	164	43	a	a	DET
iajs-3294	164	44	-1	-1	NOUN
iajs-3294	164	45	-	-	PUNCT
iajs-3294	164	46	a	a	PRON
iajs-3294	164	47	^	^	PUNCT
iajs-3294	164	48			PROPN
iajs-3294	165	1	=	=	SYM
iajs-3294	166	1	so	so	ADV
iajs-3294	166	2	,	,	PUNCT
iajs-3294	166	3	we	we	PRON
iajs-3294	166	4	obtain	obtain	VERB
iajs-3294	166	5	bayes	bayes	PROPN
iajs-3294	166	6	estimator	estimator	NOUN
iajs-3294	166	7	based	base	VERB
iajs-3294	166	8	on	on	ADP
iajs-3294	166	9	general	general	ADJ
iajs-3294	166	10	entropy	entropy	NOUN
iajs-3294	166	11	loss	loss	NOUN
iajs-3294	166	12	function	function	NOUN
iajs-3294	166	13	(	(	PUNCT
iajs-3294	166	14	gelf	gelf	NOUN
iajs-3294	166	15	)	)	PUNCT
iajs-3294	166	16	of	of	ADP
iajs-3294	166	17			ADJ
iajs-3294	166	18	denoted	denote	VERB
iajs-3294	166	19	by	by	ADP
iajs-3294	166	20	^	^	PUNCT
iajs-3294	166	21			ADJ
iajs-3294	166	22	under	under	ADP
iajs-3294	166	23	different	different	ADJ
iajs-3294	166	24	priors	prior	NOUN
iajs-3294	166	25	as	as	SCONJ
iajs-3294	166	26	follows	follow	VERB
iajs-3294	166	27	(	(	PUNCT
iajs-3294	166	28	32	32	NUM
iajs-3294	166	29	)	)	PUNCT
iajs-3294	166	30	]	]	PUNCT
iajs-3294	167	1	t)d\	t)d\	X
iajs-3294	167	2	(	(	PUNCT
iajs-3294	167	3	π	π	X
iajs-3294	167	4	[	[	PUNCT
iajs-3294	167	5	t)]\[e	t)]\[e	PROPN
iajs-3294	167	6	(	(	PUNCT
iajs-3294	167	7	a	a	DET
iajs-3294	167	8	1	1	NUM
iajs-3294	167	9	a	a	DET
iajs-3294	167	10	gelf	gelf	NOUN
iajs-3294	167	11	^	^	PUNCT
iajs-3294	167	12	a	a	DET
iajs-3294	167	13	1	1	NUM
iajs-3294	167	14	a	a	DET
iajs-3294	167	15	gelf	gelf	NOUN
iajs-3294	167	16	^	^	PUNCT
iajs-3294	167	17	−	−	PROPN
iajs-3294	167	18	−	−	PROPN
iajs-3294	167	19	−	−	PROPN
iajs-3294	167	20	−	−	PROPN
iajs-3294	167	21	==	==	PROPN
iajs-3294	167	22			ADJ
iajs-3294	167	23			PROPN
iajs-3294	167	24	it	it	PRON
iajs-3294	167	25	is	be	AUX
iajs-3294	167	26	easy	easy	ADJ
iajs-3294	167	27	to	to	PART
iajs-3294	167	28	verify	verify	VERB
iajs-3294	167	29	that	that	SCONJ
iajs-3294	167	30	if	if	SCONJ
iajs-3294	167	31	1a	1a	NOUN
iajs-3294	167	32	=	=	PUNCT
iajs-3294	167	33	,	,	PUNCT
iajs-3294	167	34	it	it	PRON
iajs-3294	167	35	gives	give	VERB
iajs-3294	167	36	bayes	bayes	PROPN
iajs-3294	167	37	estimator	estimator	NOUN
iajs-3294	167	38	of	of	ADP
iajs-3294	167	39			PROPN
iajs-3294	167	40	based	base	VERB
iajs-3294	167	41	on	on	ADP
iajs-3294	167	42	entropy	entropy	NOUN
iajs-3294	167	43	loss	loss	NOUN
iajs-3294	167	44	function	function	NOUN
iajs-3294	167	45	.	.	PUNCT
iajs-3294	168	1	and	and	CCONJ
iajs-3294	168	2	if	if	SCONJ
iajs-3294	168	3	1a	1a	PROPN
iajs-3294	168	4	=	=	PUNCT
iajs-3294	168	5	,	,	PUNCT
iajs-3294	168	6	it	it	PRON
iajs-3294	168	7	gives	give	VERB
iajs-3294	168	8	bayes	bayes	PROPN
iajs-3294	168	9	estimator	estimator	NOUN
iajs-3294	168	10	of	of	ADP
iajs-3294	168	11			PROPN
iajs-3294	168	12	based	base	VERB
iajs-3294	168	13	on	on	ADP
iajs-3294	168	14	weighted	weight	VERB
iajs-3294	168	15	square	square	ADJ
iajs-3294	168	16	error	error	NOUN
iajs-3294	168	17	loss	loss	NOUN
iajs-3294	168	18	function	function	NOUN
iajs-3294	168	19	.also	.also	VERB
iajs-3294	168	20	if	if	SCONJ
iajs-3294	168	21	1a	1a	PROPN
iajs-3294	168	22	−=	−=	VERB
iajs-3294	168	23	,	,	PUNCT
iajs-3294	168	24	it	it	PRON
iajs-3294	168	25	gives	give	VERB
iajs-3294	168	26	bayes	bayes	PROPN
iajs-3294	168	27	estimator	estimator	NOUN
iajs-3294	168	28	of	of	ADP
iajs-3294	168	29			PROPN
iajs-3294	168	30	based	base	VERB
iajs-3294	168	31	on	on	ADP
iajs-3294	168	32	square	square	ADJ
iajs-3294	168	33	error	error	NOUN
iajs-3294	168	34	loss	loss	NOUN
iajs-3294	168	35	function	function	NOUN
iajs-3294	168	36	.	.	PUNCT
iajs-3294	169	1	so	so	ADV
iajs-3294	169	2	we	we	PRON
iajs-3294	169	3	can	can	AUX
iajs-3294	169	4	derive	derive	VERB
iajs-3294	169	5	bayes	bayes	PROPN
iajs-3294	169	6	estimator	estimator	NOUN
iajs-3294	169	7	for	for	ADP
iajs-3294	169	8	unknown	unknown	ADJ
iajs-3294	169	9	scale	scale	NOUN
iajs-3294	169	10	parameter	parameter	NOUN
iajs-3294	169	11			PROPN
iajs-3294	169	12	based	base	VERB
iajs-3294	169	13	on	on	ADP
iajs-3294	169	14	general	general	ADJ
iajs-3294	169	15	entropy	entropy	NOUN
iajs-3294	169	16	loss	loss	NOUN
iajs-3294	169	17	function	function	NOUN
iajs-3294	169	18	(	(	PUNCT
iajs-3294	169	19	gelf	gelf	NOUN
iajs-3294	169	20	)	)	PUNCT
iajs-3294	169	21	as	as	SCONJ
iajs-3294	169	22	follows	follow	VERB
iajs-3294	169	23	.	.	PUNCT
iajs-3294	170	1	a.	a.	NOUN
iajs-3294	170	2	bayes	bayes	PROPN
iajs-3294	170	3	estimator	estimator	NOUN
iajs-3294	170	4	using	use	VERB
iajs-3294	170	5	the	the	DET
iajs-3294	170	6	inverse	inverse	NOUN
iajs-3294	170	7	gamma	gamma	NOUN
iajs-3294	170	8	as	as	ADP
iajs-3294	170	9	prior	prior	ADJ
iajs-3294	170	10	distribution	distribution	NOUN
iajs-3294	170	11	here	here	ADV
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iajs-3294	170	18	for	for	ADP
iajs-3294	170	19			PROPN
iajs-3294	170	20	based	base	VERB
iajs-3294	170	21	on	on	ADP
iajs-3294	170	22	general	general	ADJ
iajs-3294	170	23	entropy	entropy	NOUN
iajs-3294	170	24	loss	loss	NOUN
iajs-3294	170	25	function	function	NOUN
iajs-3294	170	26	(	(	PUNCT
iajs-3294	170	27	gelf	gelf	NOUN
iajs-3294	170	28	)	)	PUNCT
iajs-3294	170	29	,	,	PUNCT
iajs-3294	170	30	by	by	ADP
iajs-3294	170	31	substituting	substitute	VERB
iajs-3294	170	32	equation	equation	NOUN
iajs-3294	170	33	(	(	PUNCT
iajs-3294	170	34	14	14	NUM
iajs-3294	170	35	)	)	PUNCT
iajs-3294	170	36	in	in	ADP
iajs-3294	170	37	equation	equation	NOUN
iajs-3294	170	38	(	(	PUNCT
iajs-3294	170	39	32	32	NUM
iajs-3294	170	40	)	)	PUNCT
iajs-3294	170	41	,	,	PUNCT
iajs-3294	170	42	yields	yield	NOUN
iajs-3294	170	43	)	)	PUNCT
iajs-3294	170	44	32	32	NUM
iajs-3294	170	45	(	(	PUNCT
iajs-3294	170	46	]	]	SYM
iajs-3294	170	47	)	)	PUNCT
iajs-3294	171	1	d	d	NOUN
iajs-3294	171	2	t\	t\	PROPN
iajs-3294	171	3	(	(	PUNCT
iajs-3294	171	4	π	π	PROPN
iajs-3294	171	5	[	[	PUNCT
iajs-3294	171	6	a	a	DET
iajs-3294	171	7	1	1	NUM
iajs-3294	171	8	1	1	NUM
iajs-3294	171	9	a	a	DET
iajs-3294	171	10	gelf(1	gelf(1	NOUN
iajs-3294	171	11	)	)	PUNCT
iajs-3294	171	12	^	^	PUNCT
iajs-3294	172	1	−	−	PROPN
iajs-3294	173	1	−	−	NOUN
iajs-3294	173	2	=	=	PROPN
iajs-3294	173	3			PROPN
iajs-3294	173	4			PROPN
iajs-3294	173	5	(	(	PUNCT
iajs-3294	173	6	33	33	NUM
iajs-3294	173	7	)	)	PUNCT
iajs-3294	173	8	]	]	PUNCT
iajs-3294	173	9	d	d	X
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iajs-3294	173	11	)	)	PUNCT
iajs-3294	173	12	)	)	PUNCT
iajs-3294	174	1	t	t	PROPN
iajs-3294	174	2	1	1	NUM
iajs-3294	174	3	(	(	PUNCT
iajs-3294	174	4	1	1	NUM
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iajs-3294	174	6	(	(	PUNCT
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iajs-3294	174	8	λ	λ	PROPN
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iajs-3294	174	10	t	t	NOUN
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iajs-3294	174	12	(	(	PUNCT
iajs-3294	174	13	[	[	PUNCT
iajs-3294	174	14	a	a	DET
iajs-3294	174	15	1	1	NUM
iajs-3294	174	16	2	2	NUM
iajs-3294	174	17	n	n	NOUN
iajs-3294	174	18	1i	1i	NOUN
iajs-3294	174	19	1)η)((nη)(n	1)η)((nη)(n	NUM
iajs-3294	174	20	2	2	NUM
iajs-3294	175	1	i	i	PRON
iajs-3294	175	2	n	n	VERB
iajs-3294	175	3	1i	1i	NOUN
iajs-3294	175	4	a	a	DET
iajs-3294	175	5	0	0	NUM
iajs-3294	175	6	gelf(1	gelf(1	NOUN
iajs-3294	175	7	)	)	PUNCT
iajs-3294	175	8	^	^	PUNCT
iajs-3294	176	1	i	i	PRON
iajs-3294	176	2	−	−	VERB
iajs-3294	177	1	=	=	PUNCT
iajs-3294	178	1	+	+	PROPN
iajs-3294	178	2	+	+	ADJ
iajs-3294	178	3	+	+	ADJ
iajs-3294	178	4	=	=	SYM
iajs-3294	178	5	−	−	NOUN
iajs-3294	178	6			NOUN
iajs-3294	178	7	=	=	PUNCT
iajs-3294	178	8	+	+	ADJ
iajs-3294	178	9			X
iajs-3294	178	10	+	+	X
iajs-3294	178	11	+	+	X
iajs-3294	178	12			X
iajs-3294	178	13	=	=	SYM
iajs-3294	178	14			X
iajs-3294	178	15			PROPN
iajs-3294	178	16			PROPN
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iajs-3294	180	18	n	n	NUM
iajs-3294	180	19	1i	1i	NOUN
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iajs-3294	185	3	+	+	X
iajs-3294	185	4	+	+	X
iajs-3294	185	5			X
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iajs-3294	191	1	−	−	PROPN
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iajs-3294	200	3	]	]	PUNCT
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iajs-3294	202	6			ADJ
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iajs-3294	207	2	+	+	NOUN
iajs-3294	207	3			X
iajs-3294	207	4	=	=	PUNCT
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iajs-3294	208	4			PROPN
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iajs-3294	208	8	using	use	VERB
iajs-3294	208	9	the	the	DET
iajs-3294	208	10	inverse	inverse	ADJ
iajs-3294	208	11	chi	chi	NOUN
iajs-3294	208	12	-	-	PUNCT
iajs-3294	208	13	square	square	NOUN
iajs-3294	208	14	as	as	ADP
iajs-3294	208	15	prior	prior	ADJ
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iajs-3294	208	17	and	and	CCONJ
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iajs-3294	209	9	a	a	DET
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iajs-3294	209	11	)	)	PUNCT
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iajs-3294	248	17	0	0	NUM
iajs-3294	248	18	gelf(3	gelf(3	PROPN
iajs-3294	248	19	)	)	PUNCT
iajs-3294	248	20	^	^	PUNCT
iajs-3294	249	1	i	i	PRON
iajs-3294	249	2	−	−	VERB
iajs-3294	250	1	=	=	PUNCT
iajs-3294	251	1	+	+	PROPN
iajs-3294	251	2	+	+	ADJ
iajs-3294	251	3	+	+	ADJ
iajs-3294	251	4	−	−	ADJ
iajs-3294	251	5	+	+	NOUN
iajs-3294	251	6	=	=	SYM
iajs-3294	251	7			X
iajs-3294	251	8	=	=	PUNCT
iajs-3294	252	1	+	+	ADJ
iajs-3294	252	2			X
iajs-3294	252	3	+	+	X
iajs-3294	252	4	+	+	X
iajs-3294	252	5			X
iajs-3294	252	6	=	=	PUNCT
iajs-3294	252	7			ADP
iajs-3294	252	8			PROPN
iajs-3294	252	9			PROPN
iajs-3294	252	10			PROPN
iajs-3294	252	11			PROPN
iajs-3294	252	12	by	by	ADP
iajs-3294	252	13	multiplying	multiply	VERB
iajs-3294	252	14	the	the	DET
iajs-3294	252	15	integral	integral	ADJ
iajs-3294	252	16	in	in	ADP
iajs-3294	252	17	equation	equation	NOUN
iajs-3294	252	18	(	(	PUNCT
iajs-3294	252	19	44	44	NUM
iajs-3294	252	20	)	)	PUNCT
iajs-3294	252	21	by	by	ADP
iajs-3294	252	22	the	the	DET
iajs-3294	252	23	quantity	quantity	NOUN
iajs-3294	252	24	which	which	PRON
iajs-3294	252	25	equals	equal	VERB
iajs-3294	252	26	to	to	ADP
iajs-3294	252	27	)	)	PUNCT
iajs-3294	252	28	)	)	PUNCT
iajs-3294	252	29	γ(n	γ(n	X
iajs-3294	252	30	)	)	PUNCT
iajs-3294	253	1	γ(n	γ(n	X
iajs-3294	253	2	(	(	PUNCT
iajs-3294	253	3	a0.5	a0.5	PROPN
iajs-3294	253	4	a0.5	a0.5	VERB
iajs-3294	253	5	+	+	PROPN
iajs-3294	253	6	+	+	X
iajs-3294	253	7	+	+	ADJ
iajs-3294	253	8	+	+	ADJ
iajs-3294	253	9	,	,	PUNCT
iajs-3294	253	10	where	where	SCONJ
iajs-3294	253	11	)	)	PUNCT
iajs-3294	253	12	γ	γ	X
iajs-3294	253	13	(	(	PUNCT
iajs-3294	253	14	.	.	PUNCT
iajs-3294	253	15	is	be	AUX
iajs-3294	253	16	a	a	DET
iajs-3294	253	17	gamma	gamma	NOUN
iajs-3294	253	18	function	function	NOUN
iajs-3294	253	19	.after	.after	PUNCT
iajs-3294	254	1	some	some	DET
iajs-3294	254	2	simplification	simplification	NOUN
iajs-3294	254	3	,	,	PUNCT
iajs-3294	254	4	it	it	PRON
iajs-3294	254	5	yields	yield	VERB
iajs-3294	254	6	(	(	PUNCT
iajs-3294	254	7	45	45	NUM
iajs-3294	254	8	)	)	PUNCT
iajs-3294	254	9	)	)	PUNCT
iajs-3294	255	1	]	]	X
iajs-3294	255	2	b3(t	b3(t	X
iajs-3294	255	3	,	,	PUNCT
iajs-3294	255	4	)	)	PUNCT
iajs-3294	255	5	0.5ω	0.5ω	X
iajs-3294	255	6	t	t	NOUN
iajs-3294	255	7	1	1	NUM
iajs-3294	255	8	(	(	PUNCT
iajs-3294	255	9	γ(n	γ(n	X
iajs-3294	255	10	γ(n	γ(n	X
iajs-3294	255	11	[	[	PUNCT
iajs-3294	255	12	0.5	0.5	NUM
iajs-3294	255	13	)	)	PUNCT
iajs-3294	255	14	a)0.5	a)0.5	ADP
iajs-3294	255	15	a	a	DET
iajs-3294	255	16	1	1	NUM
iajs-3294	255	17	a	a	DET
iajs-3294	255	18	2	2	NUM
iajs-3294	255	19	i	i	NOUN
iajs-3294	255	20	n	n	NOUN
iajs-3294	255	21	1i	1i	NUM
iajs-3294	255	22	gelf(3	gelf(3	NOUN
iajs-3294	255	23	)	)	PUNCT
iajs-3294	255	24	^	^	PUNCT
iajs-3294	256	1	−	−	PROPN
iajs-3294	257	1	=	=	SYM
iajs-3294	257	2	+	+	NOUN
iajs-3294	257	3			X
iajs-3294	257	4	=	=	PUNCT
iajs-3294	257	5	+	+	PUNCT
iajs-3294	257	6	+	+	ADJ
iajs-3294	257	7	+	+	ADJ
iajs-3294	257	8			PROPN
iajs-3294	257	9	where	where	SCONJ
iajs-3294	257	10	(	(	PUNCT
iajs-3294	257	11	46	46	NUM
iajs-3294	257	12	)	)	PUNCT
iajs-3294	257	13	1	1	NUM
iajs-3294	257	14	)	)	PUNCT
iajs-3294	257	15	)	)	PUNCT
iajs-3294	257	16	0.5	0.5	NUM
iajs-3294	257	17	t	t	NOUN
iajs-3294	257	18	1	1	NUM
iajs-3294	257	19	(	(	PUNCT
iajs-3294	257	20	1	1	NUM
iajs-3294	257	21	exp	exp	NOUN
iajs-3294	257	22	(	(	PUNCT
iajs-3294	257	23	a)0.5γ(n	a)0.5γ(n	NOUN
iajs-3294	257	24	)	)	PUNCT
iajs-3294	258	1	0.5ω	0.5ω	PUNCT
iajs-3294	259	1	t	t	NOUN
iajs-3294	259	2	1	1	NUM
iajs-3294	259	3	(	(	PUNCT
iajs-3294	259	4	)	)	PUNCT
iajs-3294	259	5	b3(t	b3(t	PROPN
iajs-3294	259	6	,	,	PUNCT
iajs-3294	259	7	d	d	PROPN
iajs-3294	259	8	2	2	NUM
iajs-3294	259	9	n	n	NUM
iajs-3294	259	10	1i	1i	NOUN
iajs-3294	259	11	1)a)0.5((n	1)a)0.5((n	NOUN
iajs-3294	259	12	a)0.5(n	a)0.5(n	VERB
iajs-3294	259	13	2	2	NUM
iajs-3294	259	14	i	i	NOUN
iajs-3294	259	15	n	n	VERB
iajs-3294	259	16	1i	1i	NOUN
iajs-3294	259	17	0	0	PUNCT
iajs-3294	260	1	i	i	PRON
iajs-3294	260	2	=	=	AUX
iajs-3294	260	3	+	+	ADJ
iajs-3294	260	4			X
iajs-3294	261	1	+	+	NOUN
iajs-3294	261	2	+	+	X
iajs-3294	261	3	+	+	ADJ
iajs-3294	261	4			X
iajs-3294	261	5	=	=	PUNCT
iajs-3294	262	1	=	=	PUNCT
iajs-3294	263	1	+	+	PROPN
iajs-3294	263	2	+	+	ADJ
iajs-3294	263	3	+	+	ADJ
iajs-3294	263	4	−	−	ADJ
iajs-3294	263	5	+	+	ADJ
iajs-3294	263	6	+	+	NOUN
iajs-3294	263	7	=	=	SYM
iajs-3294	263	8			X
iajs-3294	263	9	=	=	SYM
iajs-3294	263	10			ADP
iajs-3294	263	11			X
iajs-3294	263	12			PROPN
iajs-3294	263	13			PROPN
iajs-3294	263	14			PROPN
iajs-3294	263	15	the	the	DET
iajs-3294	263	16	equation	equation	NOUN
iajs-3294	263	17	(	(	PUNCT
iajs-3294	263	18	46	46	NUM
iajs-3294	263	19	)	)	PUNCT
iajs-3294	263	20	is	be	AUX
iajs-3294	263	21	the	the	DET
iajs-3294	263	22	integral	integral	ADJ
iajs-3294	263	23	of	of	ADP
iajs-3294	263	24	the	the	DET
iajs-3294	263	25	pdf	pdf	NOUN
iajs-3294	263	26	of	of	ADP
iajs-3294	263	27	inverse	inverse	NOUN
iajs-3294	263	28	gamma	gamma	NOUN
iajs-3294	263	29	distribution	distribution	NOUN
iajs-3294	264	1	[	[	X
iajs-3294	264	2	12	12	NUM
iajs-3294	264	3	]	]	PUNCT
iajs-3294	264	4	.so	.so	PUNCT
iajs-3294	264	5	the	the	DET
iajs-3294	264	6	bayes	bayes	PROPN
iajs-3294	264	7	estimator	estimator	NOUN
iajs-3294	264	8	for	for	ADP
iajs-3294	264	9			PROPN
iajs-3294	264	10	will	will	AUX
iajs-3294	264	11	be	be	AUX
iajs-3294	264	12	(	(	PUNCT
iajs-3294	264	13	47	47	NUM
iajs-3294	264	14	)	)	PUNCT
iajs-3294	264	15	]	]	PUNCT
iajs-3294	264	16	)	)	PUNCT
iajs-3294	265	1	0.5ω	0.5ω	X
iajs-3294	265	2	t	t	NOUN
iajs-3294	265	3	1	1	NUM
iajs-3294	265	4	(	(	PUNCT
iajs-3294	265	5	γ(n	γ(n	X
iajs-3294	265	6	γ(n	γ(n	X
iajs-3294	265	7	[	[	PUNCT
iajs-3294	265	8	0.5	0.5	NUM
iajs-3294	265	9	)	)	PUNCT
iajs-3294	265	10	a)0.5	a)0.5	ADP
iajs-3294	265	11	a	a	DET
iajs-3294	265	12	1	1	NUM
iajs-3294	265	13	a	a	DET
iajs-3294	265	14	2	2	NUM
iajs-3294	265	15	i	i	NOUN
iajs-3294	265	16	n	n	NOUN
iajs-3294	265	17	1i	1i	NUM
iajs-3294	265	18	gelf(3	gelf(3	NOUN
iajs-3294	265	19	)	)	PUNCT
iajs-3294	265	20	^	^	PUNCT
iajs-3294	266	1	−	−	PROPN
iajs-3294	267	1	=	=	SYM
iajs-3294	267	2	+	+	NOUN
iajs-3294	267	3			X
iajs-3294	267	4	=	=	PUNCT
iajs-3294	267	5	+	+	PUNCT
iajs-3294	267	6	+	+	ADJ
iajs-3294	267	7	+	+	ADJ
iajs-3294	267	8			ADJ
iajs-3294	267	9	5	5	NUM
iajs-3294	267	10	.	.	PUNCT
iajs-3294	267	11	simulation	simulation	NOUN
iajs-3294	267	12	and	and	CCONJ
iajs-3294	267	13	discussion	discussion	NOUN
iajs-3294	267	14	we	we	PRON
iajs-3294	267	15	used	use	VERB
iajs-3294	267	16	simulation	simulation	NOUN
iajs-3294	267	17	study	study	NOUN
iajs-3294	267	18	to	to	PART
iajs-3294	267	19	compare	compare	VERB
iajs-3294	267	20	between	between	ADP
iajs-3294	267	21	the	the	DET
iajs-3294	267	22	maximum	maximum	ADJ
iajs-3294	267	23	likelihood	likelihood	NOUN
iajs-3294	267	24	estimator(mle	estimator(mle	NOUN
iajs-3294	267	25	)	)	PUNCT
iajs-3294	267	26	and	and	CCONJ
iajs-3294	267	27	the	the	DET
iajs-3294	267	28	bayes	bayes	NOUN
iajs-3294	267	29	estimators	estimator	NOUN
iajs-3294	267	30	for	for	ADP
iajs-3294	267	31	unknown	unknown	ADJ
iajs-3294	267	32	scale	scale	NOUN
iajs-3294	267	33	parameter	parameter	NOUN
iajs-3294	267	34			PROPN
iajs-3294	267	35	of	of	ADP
iajs-3294	267	36	an	an	DET
iajs-3294	267	37	ird	ird	PROPN
iajs-3294	267	38	.	.	PUNCT
iajs-3294	268	1	the	the	DET
iajs-3294	268	2	simulation	simulation	NOUN
iajs-3294	268	3	program	program	NOUN
iajs-3294	268	4	was	be	AUX
iajs-3294	268	5	written	write	VERB
iajs-3294	268	6	in	in	ADP
iajs-3294	268	7	matlabr2018b.the	matlabr2018b.the	PRON
iajs-3294	268	8	data	datum	NOUN
iajs-3294	268	9	is	be	AUX
iajs-3294	268	10	generated	generate	VERB
iajs-3294	268	11	for	for	ADP
iajs-3294	268	12	different	different	ADJ
iajs-3294	268	13	samples	sample	NOUN
iajs-3294	268	14	sizes	size	NOUN
iajs-3294	268	15	n=	n=	ADJ
iajs-3294	268	16	(	(	PUNCT
iajs-3294	268	17	15,25,50,75,100	15,25,50,75,100	NUM
iajs-3294	268	18	)	)	PUNCT
iajs-3294	268	19	from	from	ADP
iajs-3294	268	20	ird	ird	PROPN
iajs-3294	268	21	using	use	VERB
iajs-3294	268	22	the	the	DET
iajs-3294	268	23	quantile	quantile	ADJ
iajs-3294	268	24	function	function	NOUN
iajs-3294	268	25	from	from	ADP
iajs-3294	268	26	equation(2	equation(2	PROPN
iajs-3294	268	27	)	)	PUNCT
iajs-3294	268	28	as	as	ADP
iajs-3294	268	29	1/2	1/2	NUM
iajs-3294	268	30	i	i	NOUN
iajs-3294	268	31	i	i	PROPN
iajs-3294	268	32	)	)	PUNCT
iajs-3294	268	33	)	)	PUNCT
iajs-3294	269	1	(	(	PUNCT
iajs-3294	269	2	fln	fln	NOUN
iajs-3294	269	3	1	1	NUM
iajs-3294	269	4	(	(	PUNCT
iajs-3294	269	5	t	t	NOUN
iajs-3294	269	6			PROPN
iajs-3294	269	7	=	=	SYM
iajs-3294	269	8	,	,	PUNCT
iajs-3294	269	9	where	where	SCONJ
iajs-3294	269	10	ii	ii	PROPN
iajs-3294	269	11	uf	uf	PROPN
iajs-3294	269	12	=	=	PUNCT
iajs-3294	269	13	is	be	AUX
iajs-3294	269	14	a	a	DET
iajs-3294	269	15	uniform	uniform	ADJ
iajs-3294	269	16	distribution	distribution	NOUN
iajs-3294	269	17	with	with	ADP
iajs-3294	269	18	(	(	PUNCT
iajs-3294	269	19	0,1	0,1	NUM
iajs-3294	269	20	)	)	PUNCT
iajs-3294	269	21	for	for	ADP
iajs-3294	269	22	several	several	ADJ
iajs-3294	269	23	values	value	NOUN
iajs-3294	269	24	of	of	ADP
iajs-3294	269	25	the	the	DET
iajs-3294	269	26	true	true	ADJ
iajs-3294	269	27	value	value	NOUN
iajs-3294	269	28	parameter	parameter	NOUN
iajs-3294	269	29	5	5	NUM
iajs-3294	269	30	,	,	PUNCT
iajs-3294	269	31	3	3	NUM
iajs-3294	269	32	,	,	PUNCT
iajs-3294	269	33	2=	2=	NUM
iajs-3294	269	34	and	and	CCONJ
iajs-3294	269	35	the	the	DET
iajs-3294	269	36	values	value	NOUN
iajs-3294	269	37	for	for	ADP
iajs-3294	269	38	the	the	DET
iajs-3294	269	39	hyper	hyper	ADJ
iajs-3294	269	40	parameters	parameter	NOUN
iajs-3294	269	41	ω),k	ω),k	PUNCT
iajs-3294	269	42	,	,	PUNCT
iajs-3294	269	43	η	η	PROPN
iajs-3294	269	44	,	,	PUNCT
iajs-3294	269	45	λ	λ	PROPN
iajs-3294	269	46	(	(	PUNCT
iajs-3294	269	47	of	of	ADP
iajs-3294	269	48	the	the	DET
iajs-3294	269	49	prior	prior	ADJ
iajs-3294	269	50	distributions	distribution	NOUN
iajs-3294	269	51	can	can	AUX
iajs-3294	269	52	be	be	AUX
iajs-3294	269	53	chosen	choose	VERB
iajs-3294	269	54	arbitrarily	arbitrarily	ADV
iajs-3294	269	55	to	to	PART
iajs-3294	269	56	compare	compare	VERB
iajs-3294	269	57	the	the	DET
iajs-3294	269	58	accuracy	accuracy	NOUN
iajs-3294	269	59	of	of	ADP
iajs-3294	269	60	the	the	DET
iajs-3294	269	61	different	different	ADJ
iajs-3294	269	62	estimates	estimate	NOUN
iajs-3294	269	63	for	for	ADP
iajs-3294	269	64			ADJ
iajs-3294	269	65	as	as	SCONJ
iajs-3294	269	66	follows	follow	VERB
iajs-3294	269	67	:	:	PUNCT
iajs-3294	269	68	•	•	ADP
iajs-3294	269	69	the	the	DET
iajs-3294	269	70	values	value	NOUN
iajs-3294	269	71	for	for	ADP
iajs-3294	269	72	the	the	DET
iajs-3294	269	73	parameters	parameter	NOUN
iajs-3294	269	74	of	of	ADP
iajs-3294	269	75	the	the	DET
iajs-3294	269	76	inverse	inverse	NOUN
iajs-3294	269	77	gamma	gamma	NOUN
iajs-3294	269	78	prior	prior	ADV
iajs-3294	269	79	have	have	AUX
iajs-3294	269	80	been	be	AUX
iajs-3294	269	81	selected	select	VERB
iajs-3294	269	82	arbitrarily	arbitrarily	ADV
iajs-3294	269	83	as	as	ADP
iajs-3294	269	84	3)η	3)η	NUM
iajs-3294	269	85	4,(λ	4,(λ	NOUN
iajs-3294	270	1	=	=	NOUN
iajs-3294	270	2	=	=	NOUN
iajs-3294	270	3	.	.	PUNCT
iajs-3294	271	1	•	•	NUM
iajs-3294	271	2	the	the	DET
iajs-3294	271	3	value	value	NOUN
iajs-3294	271	4	for	for	ADP
iajs-3294	271	5	a	a	DET
iajs-3294	271	6	parameter	parameter	NOUN
iajs-3294	271	7	of	of	ADP
iajs-3294	271	8	the	the	DET
iajs-3294	271	9	inverse	inverse	ADJ
iajs-3294	271	10	chi	chi	ADJ
iajs-3294	271	11	-	-	PUNCT
iajs-3294	271	12	square	square	NOUN
iajs-3294	271	13	prior	prior	NOUN
iajs-3294	271	14	have	have	AUX
iajs-3294	271	15	been	be	AUX
iajs-3294	271	16	selected	select	VERB
iajs-3294	271	17	arbitrarily	arbitrarily	ADV
iajs-3294	271	18	as	as	ADP
iajs-3294	271	19	)	)	PUNCT
iajs-3294	271	20	4(k	4(k	NUM
iajs-3294	271	21	=	=	PUNCT
iajs-3294	272	1	.	.	PUNCT
iajs-3294	273	1	•	•	NUM
iajs-3294	273	2	the	the	DET
iajs-3294	273	3	value	value	NOUN
iajs-3294	273	4	for	for	ADP
iajs-3294	273	5	a	a	DET
iajs-3294	273	6	parameter	parameter	NOUN
iajs-3294	273	7	of	of	ADP
iajs-3294	273	8	the	the	DET
iajs-3294	273	9	standard	standard	ADJ
iajs-3294	273	10	levy	levy	NOUN
iajs-3294	273	11	prior	prior	ADV
iajs-3294	273	12	have	have	AUX
iajs-3294	273	13	been	be	AUX
iajs-3294	273	14	selected	select	VERB
iajs-3294	273	15	arbitrarily	arbitrarily	ADV
iajs-3294	273	16	as	as	ADP
iajs-3294	273	17	)	)	PUNCT
iajs-3294	273	18	6.0(ω	6.0(ω	NUM
iajs-3294	274	1	=	=	PUNCT
iajs-3294	274	2	.	.	PUNCT
iajs-3294	275	1	based	base	VERB
iajs-3294	275	2	on	on	ADP
iajs-3294	275	3	the	the	DET
iajs-3294	275	4	general	general	ADJ
iajs-3294	275	5	entropy	entropy	NOUN
iajs-3294	275	6	loss	loss	NOUN
iajs-3294	275	7	function	function	NOUN
iajs-3294	275	8	(	(	PUNCT
iajs-3294	275	9	gelf	gelf	NOUN
iajs-3294	275	10	)	)	PUNCT
iajs-3294	275	11	with	with	ADP
iajs-3294	275	12	the	the	DET
iajs-3294	275	13	shape	shape	NOUN
iajs-3294	275	14	parameter	parameter	NOUN
iajs-3294	275	15	can	can	AUX
iajs-3294	275	16	be	be	AUX
iajs-3294	275	17	chosen	choose	VERB
iajs-3294	275	18	arbitrarily	arbitrarily	ADV
iajs-3294	275	19	as	as	ADP
iajs-3294	275	20	(	(	PUNCT
iajs-3294	275	21	a=1	a=1	X
iajs-3294	275	22	,	,	PUNCT
iajs-3294	275	23	-1,2	-1,2	NUM
iajs-3294	275	24	)	)	PUNCT
iajs-3294	275	25	,	,	PUNCT
iajs-3294	275	26	with	with	ADP
iajs-3294	275	27	replications	replication	NOUN
iajs-3294	275	28	number	number	NOUN
iajs-3294	275	29	of	of	ADP
iajs-3294	275	30	the	the	DET
iajs-3294	275	31	experiments	experiment	NOUN
iajs-3294	275	32	(	(	PUNCT
iajs-3294	275	33	r=5000	r=5000	NOUN
iajs-3294	275	34	)	)	PUNCT
iajs-3294	275	35	.in	.in	VERB
iajs-3294	276	1	order	order	NOUN
iajs-3294	276	2	to	to	PART
iajs-3294	276	3	compare	compare	VERB
iajs-3294	276	4	the	the	DET
iajs-3294	276	5	accuracy	accuracy	NOUN
iajs-3294	276	6	of	of	ADP
iajs-3294	276	7	the	the	DET
iajs-3294	276	8	different	different	ADJ
iajs-3294	276	9	estimates	estimate	NOUN
iajs-3294	276	10	for	for	ADP
iajs-3294	276	11			PROPN
iajs-3294	276	12	,	,	PUNCT
iajs-3294	276	13	we	we	PRON
iajs-3294	276	14	depend	depend	VERB
iajs-3294	276	15	on	on	ADP
iajs-3294	276	16	the	the	DET
iajs-3294	276	17	mean	mean	ADJ
iajs-3294	276	18	square	square	ADJ
iajs-3294	276	19	error	error	NOUN
iajs-3294	276	20	criterion	criterion	NOUN
iajs-3294	276	21	,	,	PUNCT
iajs-3294	276	22	i.e.	i.e.	X
iajs-3294	276	23	the	the	DET
iajs-3294	276	24	estimates	estimate	NOUN
iajs-3294	276	25	with	with	ADP
iajs-3294	276	26	the	the	DET
iajs-3294	276	27	smallest	small	ADJ
iajs-3294	276	28	mse	mse	PROPN
iajs-3294	276	29	’s	’s	PART
iajs-3294	276	30	will	will	AUX
iajs-3294	276	31	be	be	AUX
iajs-3294	276	32	the	the	DET
iajs-3294	276	33	best	good	ADJ
iajs-3294	276	34	estimates	estimate	NOUN
iajs-3294	276	35	.	.	PUNCT
iajs-3294	276	36	)	)	PUNCT
iajs-3294	277	1	28	28	NUM
iajs-3294	277	2	(	(	PUNCT
iajs-3294	277	3	)	)	PUNCT
iajs-3294	277	4	)	)	PUNCT
iajs-3294	278	1	r	r	NOUN
iajs-3294	278	2	(	(	PUNCT
iajs-3294	278	3	(	(	PUNCT
iajs-3294	278	4	5000	5000	NUM
iajs-3294	278	5	1	1	NUM
iajs-3294	278	6	mse	mse	NOUN
iajs-3294	278	7	2	2	NUM
iajs-3294	278	8	^5000	^5000	NUM
iajs-3294	278	9	1r	1r	NUM
iajs-3294	278	10			NOUN
iajs-3294	278	11	=	=	PUNCT
iajs-3294	279	1	=	=	PUNCT
iajs-3294	279	2	the	the	DET
iajs-3294	279	3	results	result	NOUN
iajs-3294	279	4	of	of	ADP
iajs-3294	279	5	simulation	simulation	NOUN
iajs-3294	279	6	study	study	NOUN
iajs-3294	279	7	listed	list	VERB
iajs-3294	279	8	in	in	ADP
iajs-3294	279	9	tables	table	NOUN
iajs-3294	279	10	for	for	ADP
iajs-3294	279	11	each	each	DET
iajs-3294	279	12	estimator	estimator	NOUN
iajs-3294	279	13	and	and	CCONJ
iajs-3294	279	14	for	for	ADP
iajs-3294	279	15	all	all	DET
iajs-3294	279	16	sample	sample	NOUN
iajs-3294	279	17	sizes	size	NOUN
iajs-3294	279	18	.	.	PUNCT
iajs-3294	280	1	(	(	PUNCT
iajs-3294	280	2	28	28	NUM
iajs-3294	280	3	)	)	PUNCT
iajs-3294	280	4	ihjpas	ihjpa	NOUN
iajs-3294	280	5	.	.	PUNCT
iajs-3294	281	1	2024	2024	NUM
iajs-3294	281	2	,	,	PUNCT
iajs-3294	281	3	37	37	NUM
iajs-3294	281	4	(	(	PUNCT
iajs-3294	281	5	3	3	NUM
iajs-3294	281	6	)	)	SYM
iajs-3294	281	7	364	364	NUM
iajs-3294	281	8	table	table	NOUN
iajs-3294	281	9	1	1	NUM
iajs-3294	281	10	.	.	PUNCT
iajs-3294	282	1	the	the	DET
iajs-3294	282	2	estimated	estimate	VERB
iajs-3294	282	3	values	value	NOUN
iajs-3294	282	4	of	of	ADP
iajs-3294	282	5	the	the	DET
iajs-3294	282	6	maximum	maximum	ADJ
iajs-3294	282	7	likelihood	likelihood	NOUN
iajs-3294	282	8	estimator	estimator	NOUN
iajs-3294	282	9	(	(	PUNCT
iajs-3294	282	10	�	�	PROPN
iajs-3294	282	11	̂	̂	SYM
iajs-3294	282	12	�	�	NOUN
iajs-3294	282	13	mle	mle	NOUN
iajs-3294	282	14	)	)	PUNCT
iajs-3294	282	15	and	and	CCONJ
iajs-3294	282	16	mse	mse	PROPN
iajs-3294	282	17	’s	’s	X
iajs-3294	282	18	for	for	ADP
iajs-3294	282	19	the	the	DET
iajs-3294	282	20	estimators	estimator	NOUN
iajs-3294	282	21	of	of	ADP
iajs-3294	282	22	the	the	DET
iajs-3294	282	23	inverse	inverse	ADJ
iajs-3294	282	24	rayleigh	rayleigh	NOUN
iajs-3294	282	25	distribution	distribution	NOUN
iajs-3294	282	26	with	with	ADP
iajs-3294	282	27	the	the	DET
iajs-3294	282	28	true	true	ADJ
iajs-3294	282	29	values	value	NOUN
iajs-3294	282	30	(	(	PUNCT
iajs-3294	282	31	𝜑	𝜑	NOUN
iajs-3294	282	32	=	=	SYM
iajs-3294	282	33	2,3,5	2,3,5	NUM
iajs-3294	282	34	)	)	PUNCT
iajs-3294	282	35	and	and	CCONJ
iajs-3294	282	36	r	r	NOUN
iajs-3294	282	37	=	=	NOUN
iajs-3294	282	38	5000	5000	NUM
iajs-3294	282	39	.	.	PUNCT
iajs-3294	283	1	n	n	CCONJ
iajs-3294	283	2	true	true	ADJ
iajs-3294	283	3	value	value	NOUN
iajs-3294	283	4	)	)	PUNCT
iajs-3294	283	5	2	2	NUM
iajs-3294	283	6	(	(	PUNCT
iajs-3294	283	7	=	=	NOUN
iajs-3294	283	8			ADJ
iajs-3294	283	9	true	true	ADJ
iajs-3294	283	10	value	value	NOUN
iajs-3294	283	11	)	)	PUNCT
iajs-3294	283	12	3	3	NUM
iajs-3294	283	13	(	(	PUNCT
iajs-3294	283	14	=	=	NOUN
iajs-3294	283	15			ADJ
iajs-3294	283	16	true	true	ADJ
iajs-3294	283	17	value	value	NOUN
iajs-3294	283	18	)	)	PUNCT
iajs-3294	283	19	5	5	NUM
iajs-3294	283	20	(	(	PUNCT
iajs-3294	283	21	=	=	NOUN
iajs-3294	283	22			PROPN
iajs-3294	283	23	�	�	NOUN
iajs-3294	283	24	̂	̂	SYM
iajs-3294	283	25	�	�	PROPN
iajs-3294	283	26	mle	mle	PROPN
iajs-3294	283	27	mse	mse	PROPN
iajs-3294	283	28	�	�	PROPN
iajs-3294	283	29	̂	̂	PROPN
iajs-3294	283	30	�	�	PROPN
iajs-3294	283	31	mle	mle	PROPN
iajs-3294	283	32	mse	mse	PROPN
iajs-3294	283	33	�	�	PROPN
iajs-3294	283	34	̂	̂	PROPN
iajs-3294	283	35	�	�	PROPN
iajs-3294	283	36	mle	mle	PROPN
iajs-3294	283	37	mse	mse	PROPN
iajs-3294	283	38	15	15	NUM
iajs-3294	283	39	2.0065	2.0065	NUM
iajs-3294	283	40	0.2619	0.2619	NUM
iajs-3294	283	41	3.009	3.009	NUM
iajs-3294	283	42	0.6111	0.6111	NUM
iajs-3294	283	43	4.9586	4.9586	NUM
iajs-3294	283	44	1.6449	1.6449	NUM
iajs-3294	283	45	25	25	NUM
iajs-3294	283	46	1.9961	1.9961	NUM
iajs-3294	283	47	0.1630	0.1630	NUM
iajs-3294	283	48	2.9995	2.9995	NUM
iajs-3294	283	49	0.3544	0.3544	NUM
iajs-3294	283	50	5.0096	5.0096	NUM
iajs-3294	283	51	0.9754	0.9754	NUM
iajs-3294	283	52	50	50	NUM
iajs-3294	283	53	1.9972	1.9972	NUM
iajs-3294	283	54	0.0788	0.0788	NUM
iajs-3294	283	55	2.9964	2.9964	NUM
iajs-3294	283	56	0.178	0.178	NUM
iajs-3294	283	57	5.0122	5.0122	NUM
iajs-3294	283	58	0.5065	0.5065	NUM
iajs-3294	283	59	75	75	NUM
iajs-3294	283	60	1.9951	1.9951	NUM
iajs-3294	283	61	0.0518	0.0518	NUM
iajs-3294	283	62	2.9998	2.9998	NUM
iajs-3294	283	63	0.1158	0.1158	NUM
iajs-3294	283	64	5.0068	5.0068	NUM
iajs-3294	283	65	0.3405	0.3405	NUM
iajs-3294	283	66	100	100	NUM
iajs-3294	283	67	2.0006	2.0006	NUM
iajs-3294	283	68	0.0401	0.0401	NUM
iajs-3294	283	69	3.0043	3.0043	NUM
iajs-3294	283	70	0.0904	0.0904	NUM
iajs-3294	283	71	4.992	4.992	NUM
iajs-3294	283	72	0.2462	0.2462	NUM
iajs-3294	283	73	for	for	ADP
iajs-3294	283	74	the	the	DET
iajs-3294	283	75	results	result	NOUN
iajs-3294	283	76	listed	list	VERB
iajs-3294	283	77	in	in	ADP
iajs-3294	283	78	table	table	NOUN
iajs-3294	283	79	1	1	NUM
iajs-3294	283	80	,	,	PUNCT
iajs-3294	283	81	which	which	PRON
iajs-3294	283	82	represented	represent	VERB
iajs-3294	283	83	by	by	ADP
iajs-3294	283	84	the	the	DET
iajs-3294	283	85	estimated	estimate	VERB
iajs-3294	283	86	values	value	NOUN
iajs-3294	283	87	of	of	ADP
iajs-3294	283	88	the	the	DET
iajs-3294	283	89	maximum	maximum	ADJ
iajs-3294	283	90	likelihood	likelihood	NOUN
iajs-3294	283	91	estimator	estimator	NOUN
iajs-3294	283	92	)	)	PUNCT
iajs-3294	283	93	(	(	PUNCT
iajs-3294	283	94	mle	mle	NOUN
iajs-3294	283	95	^	^	SYM
iajs-3294	283	96			PROPN
iajs-3294	283	97	and	and	CCONJ
iajs-3294	283	98	mse	mse	PROPN
iajs-3294	283	99	’s	’s	PART
iajs-3294	283	100	.we	.we	NUM
iajs-3294	283	101	see	see	VERB
iajs-3294	283	102	that	that	SCONJ
iajs-3294	283	103	the	the	DET
iajs-3294	283	104	values	value	NOUN
iajs-3294	283	105	of	of	ADP
iajs-3294	283	106	mse	mse	PROPN
iajs-3294	283	107	are	be	AUX
iajs-3294	283	108	•	•	ADV
iajs-3294	283	109	increased	increase	VERB
iajs-3294	283	110	when	when	SCONJ
iajs-3294	283	111	the	the	DET
iajs-3294	283	112	true	true	ADJ
iajs-3294	283	113	value	value	NOUN
iajs-3294	283	114	parameter	parameter	PROPN
iajs-3294	283	115	is	be	AUX
iajs-3294	283	116	increased	increase	VERB
iajs-3294	283	117	with	with	ADP
iajs-3294	283	118	fixed	fix	VERB
iajs-3294	283	119	the	the	DET
iajs-3294	283	120	sample	sample	NOUN
iajs-3294	283	121	size(n	size(n	PROPN
iajs-3294	283	122	)	)	PUNCT
iajs-3294	283	123	.	.	PUNCT
iajs-3294	284	1	•	•	NUM
iajs-3294	284	2	decreased	decrease	VERB
iajs-3294	284	3	when	when	SCONJ
iajs-3294	284	4	the	the	DET
iajs-3294	284	5	sample	sample	NOUN
iajs-3294	284	6	size(n	size(n	PROPN
iajs-3294	284	7	)	)	PUNCT
iajs-3294	284	8	is	be	AUX
iajs-3294	284	9	increased	increase	VERB
iajs-3294	284	10	with	with	ADP
iajs-3294	284	11	fixed	fix	VERB
iajs-3294	284	12	value	value	NOUN
iajs-3294	284	13	for	for	ADP
iajs-3294	284	14	the	the	DET
iajs-3294	284	15	true	true	ADJ
iajs-3294	284	16	value	value	NOUN
iajs-3294	284	17	parameter	parameter	PROPN
iajs-3294	284	18	.	.	PUNCT
iajs-3294	285	1	table	table	NOUN
iajs-3294	285	2	2	2	NUM
iajs-3294	285	3	.	.	PUNCT
iajs-3294	286	1	the	the	DET
iajs-3294	286	2	estimated	estimate	VERB
iajs-3294	286	3	values	value	NOUN
iajs-3294	286	4	of	of	ADP
iajs-3294	286	5	the	the	DET
iajs-3294	286	6	bayes	bayes	NOUN
iajs-3294	286	7	estimators	estimator	NOUN
iajs-3294	286	8	(	(	PUNCT
iajs-3294	286	9	�	�	NOUN
iajs-3294	286	10	̂	̂	NOUN
iajs-3294	286	11	�	�	NOUN
iajs-3294	286	12	gelf	gelf	NOUN
iajs-3294	286	13	)	)	PUNCT
iajs-3294	286	14	and	and	CCONJ
iajs-3294	286	15	mse	mse	PROPN
iajs-3294	286	16	’s	’s	X
iajs-3294	286	17	for	for	ADP
iajs-3294	286	18	the	the	DET
iajs-3294	286	19	estimators	estimator	NOUN
iajs-3294	286	20	of	of	ADP
iajs-3294	286	21	the	the	DET
iajs-3294	286	22	inverse	inverse	NOUN
iajs-3294	286	23	ayleigh	ayleigh	NOUN
iajs-3294	286	24	distribution	distribution	NOUN
iajs-3294	286	25	based	base	VERB
iajs-3294	286	26	on	on	ADP
iajs-3294	286	27	the	the	DET
iajs-3294	286	28	gelf	gelf	NOUN
iajs-3294	286	29	,	,	PUNCT
iajs-3294	286	30	under	under	ADP
iajs-3294	286	31	different	different	ADJ
iajs-3294	286	32	priors	prior	NOUN
iajs-3294	286	33	with	with	ADP
iajs-3294	286	34	the	the	DET
iajs-3294	286	35	true	true	ADJ
iajs-3294	286	36	value	value	NOUN
iajs-3294	286	37	)	)	PUNCT
iajs-3294	286	38	2	2	NUM
iajs-3294	286	39	(	(	PUNCT
iajs-3294	286	40	=	=	NOUN
iajs-3294	286	41			PROPN
iajs-3294	286	42	and	and	CCONJ
iajs-3294	286	43	r=5000	r=5000	PROPN
iajs-3294	286	44	.	.	PUNCT
iajs-3294	287	1	n	n	CCONJ
iajs-3294	287	2	true	true	ADJ
iajs-3294	287	3	value	value	NOUN
iajs-3294	287	4	)	)	PUNCT
iajs-3294	287	5	2	2	NUM
iajs-3294	287	6	(	(	PUNCT
iajs-3294	287	7	=	=	NOUN
iajs-3294	287	8			ADJ
iajs-3294	287	9	a=	a=	ADJ
iajs-3294	287	10	-1	-1	PUNCT
iajs-3294	287	11	a=	a=	VERB
iajs-3294	287	12	1	1	NUM
iajs-3294	287	13	a=	a=	NOUN
iajs-3294	287	14	2	2	NUM
iajs-3294	287	15	bayes	baye	NOUN
iajs-3294	287	16	under	under	ADP
iajs-3294	287	17	�	�	NOUN
iajs-3294	287	18	̂	̂	NUM
iajs-3294	287	19	�	�	PROPN
iajs-3294	287	20	gelf	gelf	PROPN
iajs-3294	287	21	mse	mse	PROPN
iajs-3294	287	22	�	�	PROPN
iajs-3294	287	23	̂	̂	PROPN
iajs-3294	287	24	�	�	PROPN
iajs-3294	287	25	gelf	gelf	PROPN
iajs-3294	287	26	mse	mse	PROPN
iajs-3294	287	27	�	�	PROPN
iajs-3294	287	28	̂	̂	PROPN
iajs-3294	287	29	�	�	NOUN
iajs-3294	287	30	gelf	gelf	NOUN
iajs-3294	287	31	mse	mse	NOUN
iajs-3294	287	32	15	15	NUM
iajs-3294	287	33	inverse	inverse	NOUN
iajs-3294	287	34	gamma	gamma	NOUN
iajs-3294	287	35	3)η	3)η	NUM
iajs-3294	287	36	4,(λ	4,(λ	NOUN
iajs-3294	288	1	=	=	NOUN
iajs-3294	288	2	=	=	SYM
iajs-3294	288	3	2.0057	2.0057	NUM
iajs-3294	288	4	0.2039	0.2039	NUM
iajs-3294	288	5	1.8943	1.8943	NUM
iajs-3294	288	6	0.193	0.193	NUM
iajs-3294	288	7	1.8438	1.8438	NUM
iajs-3294	288	8	0.1967	0.1967	NUM
iajs-3294	288	9	inverse	inverse	ADJ
iajs-3294	288	10	chi	chi	NOUN
iajs-3294	288	11	-	-	PUNCT
iajs-3294	288	12	square	square	NOUN
iajs-3294	288	13	)	)	PUNCT
iajs-3294	288	14	4(k	4(k	NUM
iajs-3294	289	1	=	=	PUNCT
iajs-3294	290	1	2.0061	2.0061	NUM
iajs-3294	290	2	0.2302	0.2302	NUM
iajs-3294	291	1	1.8881	1.8881	NUM
iajs-3294	291	2	0.2164	0.2164	NUM
iajs-3294	291	3	1.8349	1.8349	NUM
iajs-3294	291	4	0.2198	0.2198	NUM
iajs-3294	291	5	the	the	DET
iajs-3294	291	6	standard	standard	ADJ
iajs-3294	291	7	levy	levy	NOUN
iajs-3294	291	8	)	)	PUNCT
iajs-3294	291	9	6.0(ω	6.0(ω	PUNCT
iajs-3294	292	1	=	=	PUNCT
iajs-3294	293	1	2.0964	2.0964	NUM
iajs-3294	293	2	0.2895	0.2895	NUM
iajs-3294	293	3	1.9611	1.9611	NUM
iajs-3294	293	4	0.2467	0.2467	NUM
iajs-3294	293	5	1.9008	1.9008	NUM
iajs-3294	293	6	0.2402	0.2402	NUM
iajs-3294	293	7	25	25	NUM
iajs-3294	293	8	inverse	inverse	NOUN
iajs-3294	293	9	gamma	gamma	NOUN
iajs-3294	293	10	3)η	3)η	NUM
iajs-3294	293	11	4,(λ	4,(λ	PROPN
iajs-3294	294	1	=	=	NOUN
iajs-3294	294	2	=	=	SYM
iajs-3294	294	3	1.9964	1.9964	NUM
iajs-3294	294	4	0.1398	0.1398	NUM
iajs-3294	294	5	1.9251	1.9251	NUM
iajs-3294	294	6	0.1356	0.1356	NUM
iajs-3294	294	7	1.8916	1.8916	NUM
iajs-3294	294	8	0.1372	0.1372	NUM
iajs-3294	294	9	inverse	inverse	ADJ
iajs-3294	294	10	chi	chi	NOUN
iajs-3294	294	11	-	-	PUNCT
iajs-3294	294	12	square	square	NOUN
iajs-3294	294	13	)	)	PUNCT
iajs-3294	294	14	4(k	4(k	NUM
iajs-3294	295	1	=	=	NUM
iajs-3294	296	1	1.9962	1.9962	NUM
iajs-3294	296	2	0.1507	0.1507	NUM
iajs-3294	296	3	1.9223	1.9223	NUM
iajs-3294	296	4	0.1458	0.1458	NUM
iajs-3294	296	5	1.8877	1.8877	NUM
iajs-3294	296	6	0.1474	0.1474	NUM
iajs-3294	296	7	the	the	DET
iajs-3294	296	8	standard	standard	ADJ
iajs-3294	296	9	levy	levy	NOUN
iajs-3294	296	10	)	)	PUNCT
iajs-3294	296	11	6.0(ω	6.0(ω	PUNCT
iajs-3294	297	1	=	=	SYM
iajs-3294	297	2	2.0491	2.0491	NUM
iajs-3294	297	3	0.1721	0.1721	NUM
iajs-3294	297	4	1.9687	1.9687	NUM
iajs-3294	297	5	0.1576	0.1576	NUM
iajs-3294	297	6	1.9312	1.9312	NUM
iajs-3294	297	7	0.1555	0.1555	NUM
iajs-3294	297	8	50	50	NUM
iajs-3294	297	9	inverse	inverse	NOUN
iajs-3294	297	10	gamma	gamma	NOUN
iajs-3294	297	11	3)η	3)η	NUM
iajs-3294	297	12	4,(λ	4,(λ	NOUN
iajs-3294	298	1	=	=	NOUN
iajs-3294	298	2	=	=	SYM
iajs-3294	298	3	1.9973	1.9973	NUM
iajs-3294	298	4	0.0729	0.0729	NUM
iajs-3294	299	1	1.9596	1.9596	NUM
iajs-3294	299	2	0.0718	0.0718	NUM
iajs-3294	299	3	1.9414	1.9414	NUM
iajs-3294	299	4	0.0723	0.0723	NUM
iajs-3294	299	5	inverse	inverse	ADJ
iajs-3294	299	6	chi	chi	NOUN
iajs-3294	299	7	-	-	PUNCT
iajs-3294	299	8	square	square	NOUN
iajs-3294	299	9	)	)	PUNCT
iajs-3294	299	10	4(k	4(k	NUM
iajs-3294	300	1	=	=	PUNCT
iajs-3294	300	2	1.9972	1.9972	NUM
iajs-3294	300	3	0.0758	0.0758	NUM
iajs-3294	300	4	1.9588	1.9588	NUM
iajs-3294	300	5	0.0746	0.0746	NUM
iajs-3294	300	6	1.9403	1.9403	NUM
iajs-3294	300	7	0.0751	0.0751	NUM
iajs-3294	300	8	the	the	DET
iajs-3294	300	9	standard	standard	ADJ
iajs-3294	300	10	levy	levy	NOUN
iajs-3294	300	11	)	)	PUNCT
iajs-3294	301	1	6.0(ω	6.0(ω	PUNCT
iajs-3294	302	1	=	=	NUM
iajs-3294	302	2	2.0234	2.0234	NUM
iajs-3294	302	3	0.081	0.081	NUM
iajs-3294	302	4	1.9833	1.9833	NUM
iajs-3294	302	5	0.0776	0.0776	NUM
iajs-3294	302	6	1.964	1.964	NUM
iajs-3294	302	7	0.0771	0.0771	NUM
iajs-3294	302	8	75	75	NUM
iajs-3294	302	9	inverse	inverse	NOUN
iajs-3294	302	10	gamma	gamma	NOUN
iajs-3294	302	11	3)η	3)η	NUM
iajs-3294	302	12	4,(λ	4,(λ	NOUN
iajs-3294	303	1	=	=	X
iajs-3294	303	2	=	=	SYM
iajs-3294	303	3	1.9952	1.9952	NUM
iajs-3294	303	4	0.0491	0.0491	NUM
iajs-3294	303	5	1.9697	1.9697	NUM
iajs-3294	303	6	0.0488	0.0488	NUM
iajs-3294	303	7	1.9572	1.9572	NUM
iajs-3294	303	8	0.0491	0.0491	NUM
iajs-3294	303	9	inverse	inverse	ADJ
iajs-3294	303	10	chi	chi	NOUN
iajs-3294	303	11	-	-	PUNCT
iajs-3294	303	12	square	square	NOUN
iajs-3294	303	13	)	)	PUNCT
iajs-3294	303	14	4(k	4(k	NUM
iajs-3294	304	1	=	=	SYM
iajs-3294	304	2	1.9952	1.9952	NUM
iajs-3294	304	3	0.0504	0.0504	NUM
iajs-3294	304	4	1.9693	1.9693	NUM
iajs-3294	304	5	0.05	0.05	NUM
iajs-3294	304	6	1.9566	1.9566	NUM
iajs-3294	304	7	0.0503	0.0503	NUM
iajs-3294	304	8	the	the	DET
iajs-3294	304	9	standard	standard	ADJ
iajs-3294	304	10	levy	levy	NOUN
iajs-3294	304	11	)	)	PUNCT
iajs-3294	305	1	6.0(ω	6.0(ω	PUNCT
iajs-3294	306	1	=	=	PUNCT
iajs-3294	307	1	2.0125	2.0125	NUM
iajs-3294	307	2	0.0526	0.0526	NUM
iajs-3294	307	3	1.9859	1.9859	NUM
iajs-3294	307	4	0.0513	0.0513	NUM
iajs-3294	307	5	1.9728	1.9728	NUM
iajs-3294	307	6	0.0511	0.0511	NUM
iajs-3294	307	7	100	100	NUM
iajs-3294	307	8	inverse	inverse	NOUN
iajs-3294	307	9	gamma	gamma	NOUN
iajs-3294	307	10	3)η	3)η	NUM
iajs-3294	307	11	4,(λ	4,(λ	NOUN
iajs-3294	308	1	=	=	NOUN
iajs-3294	308	2	=	=	SYM
iajs-3294	308	3	2.0005	2.0005	NUM
iajs-3294	308	4	0.0385	0.0385	NUM
iajs-3294	308	5	1.9811	1.9811	NUM
iajs-3294	308	6	0.0381	0.0381	NUM
iajs-3294	308	7	1.9716	1.9716	NUM
iajs-3294	308	8	0.0382	0.0382	NUM
iajs-3294	308	9	inverse	inverse	NOUN
iajs-3294	308	10	chi	chi	NOUN
iajs-3294	308	11	-	-	PUNCT
iajs-3294	308	12	square	square	NOUN
iajs-3294	308	13	)	)	PUNCT
iajs-3294	308	14	4(k	4(k	NUM
iajs-3294	309	1	=	=	NUM
iajs-3294	309	2	2.0006	2.0006	NUM
iajs-3294	309	3	0.0393	0.0393	NUM
iajs-3294	309	4	1.9809	1.9809	NUM
iajs-3294	309	5	0.0389	0.0389	NUM
iajs-3294	309	6	1.9713	1.9713	NUM
iajs-3294	309	7	0.039	0.039	NUM
iajs-3294	309	8	the	the	DET
iajs-3294	309	9	standard	standard	ADJ
iajs-3294	309	10	levy	levy	NOUN
iajs-3294	309	11	)	)	PUNCT
iajs-3294	309	12	6.0(ω	6.0(ω	PUNCT
iajs-3294	310	1	=	=	PUNCT
iajs-3294	310	2	2.0136	2.0136	NUM
iajs-3294	310	3	0.0407	0.0407	NUM
iajs-3294	310	4	1.9936	1.9936	NUM
iajs-3294	310	5	0.0397	0.0397	NUM
iajs-3294	310	6	1.9837	1.9837	NUM
iajs-3294	310	7	0.0395	0.0395	NUM
iajs-3294	310	8	ihjpas	ihjpa	NOUN
iajs-3294	310	9	.	.	PUNCT
iajs-3294	311	1	2024	2024	NUM
iajs-3294	311	2	,	,	PUNCT
iajs-3294	311	3	37	37	NUM
iajs-3294	311	4	(	(	PUNCT
iajs-3294	311	5	3	3	NUM
iajs-3294	311	6	)	)	PUNCT
iajs-3294	311	7	365	365	NUM
iajs-3294	311	8	table	table	NOUN
iajs-3294	311	9	3	3	NUM
iajs-3294	311	10	.	.	PUNCT
iajs-3294	312	1	the	the	DET
iajs-3294	312	2	estimated	estimate	VERB
iajs-3294	312	3	values	value	NOUN
iajs-3294	312	4	of	of	ADP
iajs-3294	312	5	the	the	DET
iajs-3294	312	6	bayes	bayes	NOUN
iajs-3294	312	7	estimators	estimator	NOUN
iajs-3294	312	8	)	)	PUNCT
iajs-3294	312	9	gelf	gelf	NOUN
iajs-3294	312	10	^	^	PUNCT
iajs-3294	312	11	(	(	PUNCT
iajs-3294	312	12			PROPN
iajs-3294	312	13	and	and	CCONJ
iajs-3294	312	14	mse	mse	NOUN
iajs-3294	312	15	’s	’s	PART
iajs-3294	312	16	for	for	ADP
iajs-3294	312	17	the	the	DET
iajs-3294	312	18	estimators	estimator	NOUN
iajs-3294	312	19	of	of	ADP
iajs-3294	312	20	the	the	DET
iajs-3294	312	21	inverse	inverse	ADJ
iajs-3294	312	22	rayleigh	rayleigh	NOUN
iajs-3294	312	23	distribution	distribution	NOUN
iajs-3294	312	24	based	base	VERB
iajs-3294	312	25	on	on	ADP
iajs-3294	312	26	the	the	DET
iajs-3294	312	27	gelf	gelf	NOUN
iajs-3294	312	28	,	,	PUNCT
iajs-3294	312	29	under	under	ADP
iajs-3294	312	30	different	different	ADJ
iajs-3294	312	31	priors	prior	NOUN
iajs-3294	312	32	with	with	ADP
iajs-3294	312	33	the	the	DET
iajs-3294	312	34	true	true	ADJ
iajs-3294	312	35	value	value	NOUN
iajs-3294	312	36	)	)	PUNCT
iajs-3294	312	37	3	3	NUM
iajs-3294	312	38	(	(	PUNCT
iajs-3294	312	39	=	=	NOUN
iajs-3294	312	40			PROPN
iajs-3294	312	41	and	and	CCONJ
iajs-3294	312	42	r=5000	r=5000	PROPN
iajs-3294	312	43	.	.	PUNCT
iajs-3294	313	1	n	n	CCONJ
iajs-3294	313	2	true	true	ADJ
iajs-3294	313	3	value	value	NOUN
iajs-3294	313	4	)	)	PUNCT
iajs-3294	313	5	3	3	NUM
iajs-3294	313	6	(	(	PUNCT
iajs-3294	313	7	=	=	NOUN
iajs-3294	313	8			ADJ
iajs-3294	313	9	a=	a=	NOUN
iajs-3294	313	10	-1	-1	PUNCT
iajs-3294	313	11	a=1	a=1	X
iajs-3294	313	12	a=	a=	NOUN
iajs-3294	313	13	2	2	NUM
iajs-3294	313	14	bayes	baye	NOUN
iajs-3294	313	15	under	under	ADP
iajs-3294	313	16	�	�	NOUN
iajs-3294	313	17	̂	̂	NUM
iajs-3294	313	18	�	�	PROPN
iajs-3294	313	19	gelf	gelf	PROPN
iajs-3294	313	20	mse	mse	PROPN
iajs-3294	313	21	�	�	PROPN
iajs-3294	313	22	̂	̂	PROPN
iajs-3294	313	23	�	�	PROPN
iajs-3294	313	24	gelf	gelf	PROPN
iajs-3294	313	25	mse	mse	PROPN
iajs-3294	313	26	�	�	PROPN
iajs-3294	313	27	̂	̂	PROPN
iajs-3294	313	28	�	�	NOUN
iajs-3294	313	29	gelf	gelf	NOUN
iajs-3294	313	30	mse	mse	NOUN
iajs-3294	313	31	15	15	NUM
iajs-3294	313	32	inverse	inverse	NOUN
iajs-3294	313	33	gamma	gamma	NOUN
iajs-3294	313	34	3)η	3)η	NUM
iajs-3294	313	35	4,(λ	4,(λ	NOUN
iajs-3294	314	1	=	=	NOUN
iajs-3294	314	2	=	=	SYM
iajs-3294	314	3	2.8903	2.8903	NUM
iajs-3294	314	4	0.4877	0.4877	NUM
iajs-3294	314	5	2.7297	2.7297	NUM
iajs-3294	314	6	0.4974	0.4974	NUM
iajs-3294	314	7	2.6569	2.6569	NUM
iajs-3294	314	8	0.5197	0.5197	NUM
iajs-3294	314	9	inverse	inverse	ADJ
iajs-3294	314	10	chi	chi	NOUN
iajs-3294	314	11	-	-	PUNCT
iajs-3294	314	12	square	square	NOUN
iajs-3294	314	13	)	)	PUNCT
iajs-3294	314	14	4(k	4(k	NUM
iajs-3294	315	1	=	=	SYM
iajs-3294	315	2	2.946	2.946	NUM
iajs-3294	315	3	0.5399	0.5399	NUM
iajs-3294	315	4	2.7727	2.7727	NUM
iajs-3294	315	5	0.5274	0.5274	NUM
iajs-3294	315	6	2.6945	2.6945	NUM
iajs-3294	315	7	0.5426	0.5426	NUM
iajs-3294	315	8	the	the	DET
iajs-3294	315	9	standard	standard	ADJ
iajs-3294	315	10	levy	levy	NOUN
iajs-3294	315	11	)	)	PUNCT
iajs-3294	315	12	6.0(ω	6.0(ω	PUNCT
iajs-3294	316	1	=	=	NOUN
iajs-3294	316	2	3.1335	3.1335	NUM
iajs-3294	316	3	0.6717	0.6717	NUM
iajs-3294	316	4	2.9313	2.9313	NUM
iajs-3294	316	5	0.5769	0.5769	NUM
iajs-3294	316	6	2.8411	2.8411	NUM
iajs-3294	316	7	0.5628	0.5628	NUM
iajs-3294	316	8	25	25	NUM
iajs-3294	316	9	inverse	inverse	NOUN
iajs-3294	316	10	gamma	gamma	NOUN
iajs-3294	316	11	3)η	3)η	NUM
iajs-3294	316	12	4,(λ	4,(λ	NOUN
iajs-3294	317	1	=	=	NOUN
iajs-3294	317	2	=	=	NOUN
iajs-3294	317	3	2.9255	2.9255	NUM
iajs-3294	317	4	0.3094	0.3094	NUM
iajs-3294	317	5	2.821	2.821	NUM
iajs-3294	317	6	0.3146	0.3146	NUM
iajs-3294	317	7	2.7719	2.7719	NUM
iajs-3294	317	8	0.3248	0.3248	NUM
iajs-3294	317	9	inverse	inverse	ADJ
iajs-3294	317	10	chi	chi	NOUN
iajs-3294	317	11	-	-	PUNCT
iajs-3294	317	12	square	square	NOUN
iajs-3294	317	13	)	)	PUNCT
iajs-3294	317	14	4(k	4(k	NUM
iajs-3294	318	1	=	=	PUNCT
iajs-3294	319	1	2.9611	2.9611	NUM
iajs-3294	319	2	0.3292	0.3292	NUM
iajs-3294	319	3	2.8514	2.8514	NUM
iajs-3294	319	4	0.326	0.326	NUM
iajs-3294	319	5	2.8000	2.8000	NUM
iajs-3294	319	6	0.3330	0.3330	NUM
iajs-3294	319	7	the	the	DET
iajs-3294	319	8	standard	standard	ADJ
iajs-3294	319	9	levy	levy	NOUN
iajs-3294	319	10	)	)	PUNCT
iajs-3294	319	11	6.0(ω	6.0(ω	PUNCT
iajs-3294	320	1	=	=	NOUN
iajs-3294	321	1	3.073	3.073	NUM
iajs-3294	321	2	0.3744	0.3744	NUM
iajs-3294	321	3	2.9525	2.9525	NUM
iajs-3294	321	4	0.3429	0.3429	NUM
iajs-3294	321	5	2.8962	2.8962	NUM
iajs-3294	321	6	0.3386	0.3386	NUM
iajs-3294	321	7	50	50	NUM
iajs-3294	321	8	inverse	inverse	NOUN
iajs-3294	321	9	gamma	gamma	NOUN
iajs-3294	321	10	3)η	3)η	NUM
iajs-3294	321	11	4,(λ	4,(λ	NOUN
iajs-3294	322	1	=	=	NOUN
iajs-3294	322	2	=	=	SYM
iajs-3294	322	3	2.9581	2.9581	NUM
iajs-3294	322	4	0.1663	0.1663	NUM
iajs-3294	322	5	2.9023	2.9023	NUM
iajs-3294	322	6	0.1679	0.1679	NUM
iajs-3294	322	7	2.8753	2.8753	NUM
iajs-3294	322	8	0.171	0.171	NUM
iajs-3294	322	9	inverse	inverse	ADJ
iajs-3294	322	10	chi	chi	ADJ
iajs-3294	322	11	-	-	PUNCT
iajs-3294	322	12	square	square	NOUN
iajs-3294	322	13	)	)	PUNCT
iajs-3294	322	14	4(k	4(k	NUM
iajs-3294	323	1	=	=	NOUN
iajs-3294	323	2	2.9769	2.9769	NUM
iajs-3294	323	3	0.1716	0.1716	NUM
iajs-3294	323	4	2.9196	2.9196	NUM
iajs-3294	323	5	0.171	0.171	NUM
iajs-3294	323	6	2.892	2.892	NUM
iajs-3294	323	7	0.1731	0.1731	NUM
iajs-3294	323	8	the	the	DET
iajs-3294	323	9	standard	standard	ADJ
iajs-3294	323	10	levy	levy	NOUN
iajs-3294	323	11	)	)	PUNCT
iajs-3294	323	12	6.0(ω	6.0(ω	PUNCT
iajs-3294	324	1	=	=	SYM
iajs-3294	325	1	3.0328	3.0328	NUM
iajs-3294	325	2	0.1826	0.1826	NUM
iajs-3294	326	1	2.9727	2.9727	NUM
iajs-3294	326	2	0.1752	0.1752	NUM
iajs-3294	326	3	2.9437	2.9437	NUM
iajs-3294	326	4	0.1742	0.1742	NUM
iajs-3294	326	5	75	75	NUM
iajs-3294	326	6	inverse	inverse	NOUN
iajs-3294	326	7	gamma	gamma	NOUN
iajs-3294	326	8	3)η	3)η	NUM
iajs-3294	326	9	4,(λ	4,(λ	NOUN
iajs-3294	327	1	=	=	NOUN
iajs-3294	327	2	=	=	SYM
iajs-3294	327	3	2.9738	2.9738	NUM
iajs-3294	327	4	0.1105	0.1105	NUM
iajs-3294	327	5	2.9357	2.9357	NUM
iajs-3294	327	6	0.1112	0.1112	NUM
iajs-3294	327	7	2.9171	2.9171	NUM
iajs-3294	327	8	0.1126	0.1126	NUM
iajs-3294	327	9	inverse	inverse	ADJ
iajs-3294	327	10	chi	chi	ADJ
iajs-3294	327	11	-	-	PUNCT
iajs-3294	327	12	square	square	NOUN
iajs-3294	327	13	)	)	PUNCT
iajs-3294	327	14	4(k	4(k	NUM
iajs-3294	328	1	=	=	NUM
iajs-3294	329	1	2.9866	2.9866	NUM
iajs-3294	329	2	0.1129	0.1129	NUM
iajs-3294	329	3	2.9478	2.9478	NUM
iajs-3294	329	4	0.1126	0.1126	NUM
iajs-3294	329	5	2.9289	2.9289	NUM
iajs-3294	329	6	0.1135	0.1135	NUM
iajs-3294	329	7	the	the	DET
iajs-3294	329	8	standard	standard	ADJ
iajs-3294	329	9	levy	levy	NOUN
iajs-3294	329	10	)	)	PUNCT
iajs-3294	330	1	6.0(ω	6.0(ω	PUNCT
iajs-3294	330	2	=	=	PUNCT
iajs-3294	331	1	3.0239	3.0239	NUM
iajs-3294	331	2	0.1179	0.1179	NUM
iajs-3294	331	3	2.9839	2.9839	NUM
iajs-3294	331	4	0.1145	0.1145	NUM
iajs-3294	331	5	2.9643	2.9643	NUM
iajs-3294	331	6	0.114	0.114	NUM
iajs-3294	331	7	100	100	NUM
iajs-3294	331	8	inverse	inverse	NOUN
iajs-3294	331	9	gamma	gamma	NOUN
iajs-3294	331	10	3)η	3)η	NUM
iajs-3294	331	11	4,(λ	4,(λ	NOUN
iajs-3294	332	1	=	=	NOUN
iajs-3294	332	2	=	=	SYM
iajs-3294	332	3	2.9846	2.9846	NUM
iajs-3294	332	4	0.0871	0.0871	NUM
iajs-3294	332	5	2.9557	2.9557	NUM
iajs-3294	332	6	0.0872	0.0872	NUM
iajs-3294	332	7	2.9414	2.9414	NUM
iajs-3294	332	8	0.0878	0.0878	NUM
iajs-3294	332	9	inverse	inverse	ADJ
iajs-3294	332	10	chi	chi	NOUN
iajs-3294	332	11	-	-	PUNCT
iajs-3294	332	12	square	square	NOUN
iajs-3294	332	13	)	)	PUNCT
iajs-3294	332	14	4(k	4(k	NUM
iajs-3294	333	1	=	=	SYM
iajs-3294	333	2	2.9944	2.9944	NUM
iajs-3294	333	3	0.0886	0.0886	NUM
iajs-3294	333	4	2.965	2.965	NUM
iajs-3294	333	5	0.0881	0.0881	NUM
iajs-3294	333	6	2.9506	2.9506	NUM
iajs-3294	333	7	0.0885	0.0885	NUM
iajs-3294	333	8	the	the	DET
iajs-3294	333	9	standard	standard	ADJ
iajs-3294	333	10	levy	levy	NOUN
iajs-3294	333	11	)	)	PUNCT
iajs-3294	333	12	6.0(ω	6.0(ω	PUNCT
iajs-3294	334	1	=	=	NOUN
iajs-3294	334	2	3.0224	3.0224	NUM
iajs-3294	334	3	0.0918	0.0918	NUM
iajs-3294	334	4	2.9924	2.9924	NUM
iajs-3294	334	5	0.0895	0.0895	NUM
iajs-3294	334	6	2.9776	2.9776	NUM
iajs-3294	334	7	0.0891	0.0891	NUM
iajs-3294	334	8	for	for	ADP
iajs-3294	334	9	the	the	DET
iajs-3294	334	10	results	result	NOUN
iajs-3294	334	11	listed	list	VERB
iajs-3294	334	12	in	in	ADP
iajs-3294	334	13	table	table	NOUN
iajs-3294	334	14	2	2	NUM
iajs-3294	334	15	and	and	CCONJ
iajs-3294	334	16	table	table	NOUN
iajs-3294	334	17	3	3	NUM
iajs-3294	334	18	which	which	PRON
iajs-3294	334	19	represented	represent	VERB
iajs-3294	334	20	by	by	ADP
iajs-3294	334	21	the	the	DET
iajs-3294	334	22	estimated	estimate	VERB
iajs-3294	334	23	values	value	NOUN
iajs-3294	334	24	of	of	ADP
iajs-3294	334	25	the	the	DET
iajs-3294	334	26	estimated	estimate	VERB
iajs-3294	334	27	values	value	NOUN
iajs-3294	334	28	of	of	ADP
iajs-3294	334	29	the	the	DET
iajs-3294	334	30	bayes	bayes	NOUN
iajs-3294	334	31	estimators	estimator	NOUN
iajs-3294	334	32	)	)	PUNCT
iajs-3294	334	33	gelf	gelf	NOUN
iajs-3294	334	34	^	^	PUNCT
iajs-3294	334	35	(	(	PUNCT
iajs-3294	334	36			PROPN
iajs-3294	334	37	and	and	CCONJ
iajs-3294	334	38	mse	mse	NOUN
iajs-3294	334	39	’s	’s	PART
iajs-3294	334	40	for	for	ADP
iajs-3294	334	41	the	the	DET
iajs-3294	334	42	estimators	estimator	NOUN
iajs-3294	334	43	of	of	ADP
iajs-3294	334	44	the	the	DET
iajs-3294	334	45	inverse	inverse	ADJ
iajs-3294	334	46	rayleigh	rayleigh	NOUN
iajs-3294	334	47	distribution	distribution	NOUN
iajs-3294	334	48	based	base	VERB
iajs-3294	334	49	on	on	ADP
iajs-3294	334	50	the	the	DET
iajs-3294	334	51	gelf	gelf	NOUN
iajs-3294	334	52	,	,	PUNCT
iajs-3294	334	53	under	under	ADP
iajs-3294	334	54	different	different	ADJ
iajs-3294	334	55	priors	prior	NOUN
iajs-3294	334	56	.we	.we	PUNCT
iajs-3294	334	57	see	see	VERB
iajs-3294	334	58	that	that	SCONJ
iajs-3294	334	59	the	the	DET
iajs-3294	334	60	best	good	ADJ
iajs-3294	334	61	bayes	bayes	NOUN
iajs-3294	334	62	estimates	estimate	VERB
iajs-3294	334	63	)	)	PUNCT
iajs-3294	334	64	(	(	PUNCT
iajs-3294	334	65	^	^	PUNCT
iajs-3294	334	66			ADJ
iajs-3294	334	67	of	of	ADP
iajs-3294	334	68			PROPN
iajs-3294	334	69	based	base	VERB
iajs-3294	334	70	on	on	ADP
iajs-3294	334	71	gelf	gelf	NOUN
iajs-3294	334	72	with	with	ADP
iajs-3294	334	73	the	the	DET
iajs-3294	334	74	shape	shape	NOUN
iajs-3294	334	75	parameter	parameter	NOUN
iajs-3294	334	76	(	(	PUNCT
iajs-3294	334	77	a	a	NOUN
iajs-3294	334	78	)	)	PUNCT
iajs-3294	334	79	where	where	SCONJ
iajs-3294	334	80	•	•	NOUN
iajs-3294	334	81	a=-1	a=-1	ADV
iajs-3294	334	82	,	,	PUNCT
iajs-3294	334	83	under	under	ADP
iajs-3294	334	84	the	the	DET
iajs-3294	334	85	inverse	inverse	NOUN
iajs-3294	334	86	gamma	gamma	NOUN
iajs-3294	334	87	3)η	3)η	NUM
iajs-3294	334	88	4,(λ	4,(λ	PROPN
iajs-3294	335	1	=	=	NOUN
iajs-3294	335	2	=	=	SYM
iajs-3294	335	3	and	and	CCONJ
iajs-3294	335	4	inverse	inverse	ADJ
iajs-3294	335	5	chi	chi	ADJ
iajs-3294	335	6	-	-	PUNCT
iajs-3294	335	7	square	square	NOUN
iajs-3294	335	8	)	)	PUNCT
iajs-3294	335	9	4(k	4(k	NUM
iajs-3294	336	1	=	=	X
iajs-3294	336	2	,	,	PUNCT
iajs-3294	336	3	for	for	ADP
iajs-3294	336	4	all	all	DET
iajs-3294	336	5	samples	sample	NOUN
iajs-3294	336	6	sizes(n	sizes(n	NOUN
iajs-3294	336	7	)	)	PUNCT
iajs-3294	336	8	.	.	PUNCT
iajs-3294	337	1	•	•	NUM
iajs-3294	337	2	a=1	a=1	PUNCT
iajs-3294	337	3	and	and	CCONJ
iajs-3294	337	4	a=2	a=2	X
iajs-3294	337	5	,	,	PUNCT
iajs-3294	337	6	under	under	ADP
iajs-3294	337	7	the	the	DET
iajs-3294	337	8	inverse	inverse	NOUN
iajs-3294	337	9	gamma	gamma	NOUN
iajs-3294	337	10	3)η	3)η	NUM
iajs-3294	337	11	4,(λ	4,(λ	PROPN
iajs-3294	338	1	=	=	NOUN
iajs-3294	338	2	=	=	NOUN
iajs-3294	338	3	,	,	PUNCT
iajs-3294	338	4	inverse	inverse	ADJ
iajs-3294	338	5	chi	chi	NOUN
iajs-3294	338	6	-	-	PUNCT
iajs-3294	338	7	square	square	NOUN
iajs-3294	338	8	)	)	PUNCT
iajs-3294	338	9	4(k	4(k	NUM
iajs-3294	339	1	=	=	SYM
iajs-3294	339	2	and	and	CCONJ
iajs-3294	339	3	the	the	DET
iajs-3294	339	4	standard	standard	ADJ
iajs-3294	339	5	levy	levy	NOUN
iajs-3294	339	6	)	)	PUNCT
iajs-3294	340	1	6.0(ω	6.0(ω	PUNCT
iajs-3294	341	1	=	=	SYM
iajs-3294	341	2	,	,	PUNCT
iajs-3294	341	3	for	for	ADP
iajs-3294	341	4	all	all	DET
iajs-3294	341	5	samples	sample	NOUN
iajs-3294	341	6	sizes(n	sizes(n	NOUN
iajs-3294	341	7	)	)	PUNCT
iajs-3294	341	8	.	.	PUNCT
iajs-3294	342	1	according	accord	VERB
iajs-3294	342	2	to	to	ADP
iajs-3294	342	3	the	the	DET
iajs-3294	342	4	smallest	small	ADJ
iajs-3294	342	5	mean	mean	ADJ
iajs-3294	342	6	square	square	ADJ
iajs-3294	342	7	error	error	NOUN
iajs-3294	342	8	(	(	PUNCT
iajs-3294	342	9	mse	mse	NOUN
iajs-3294	342	10	)	)	PUNCT
iajs-3294	342	11	compared	compare	VERB
iajs-3294	342	12	with	with	ADP
iajs-3294	342	13	the	the	DET
iajs-3294	342	14	mle	mle	PROPN
iajs-3294	342	15	estimators	estimator	NOUN
iajs-3294	342	16	.	.	PUNCT
iajs-3294	343	1	ihjpas	ihjpas	PROPN
iajs-3294	343	2	.	.	PUNCT
iajs-3294	344	1	2024	2024	NUM
iajs-3294	344	2	,	,	PUNCT
iajs-3294	344	3	37	37	NUM
iajs-3294	344	4	(	(	PUNCT
iajs-3294	344	5	3	3	NUM
iajs-3294	344	6	)	)	PUNCT
iajs-3294	344	7	366	366	NUM
iajs-3294	344	8	table	table	NOUN
iajs-3294	344	9	4	4	NUM
iajs-3294	344	10	.	.	PUNCT
iajs-3294	345	1	the	the	DET
iajs-3294	345	2	estimated	estimate	VERB
iajs-3294	345	3	values	value	NOUN
iajs-3294	345	4	of	of	ADP
iajs-3294	345	5	the	the	DET
iajs-3294	345	6	bayes	bayes	NOUN
iajs-3294	345	7	estimators	estimator	NOUN
iajs-3294	345	8	(	(	PUNCT
iajs-3294	345	9	�	�	NOUN
iajs-3294	345	10	̂	̂	NOUN
iajs-3294	345	11	�	�	NOUN
iajs-3294	345	12	gelf	gelf	NOUN
iajs-3294	345	13	)	)	PUNCT
iajs-3294	345	14	and	and	CCONJ
iajs-3294	345	15	mse	mse	PROPN
iajs-3294	345	16	’s	’s	X
iajs-3294	345	17	for	for	ADP
iajs-3294	345	18	the	the	DET
iajs-3294	345	19	estimators	estimator	NOUN
iajs-3294	345	20	of	of	ADP
iajs-3294	345	21	the	the	DET
iajs-3294	345	22	inverse	inverse	NOUN
iajs-3294	345	23	ayleigh	ayleigh	NOUN
iajs-3294	345	24	distribution	distribution	NOUN
iajs-3294	345	25	based	base	VERB
iajs-3294	345	26	on	on	ADP
iajs-3294	345	27	the	the	DET
iajs-3294	345	28	gelf	gelf	NOUN
iajs-3294	345	29	,	,	PUNCT
iajs-3294	345	30	under	under	ADP
iajs-3294	345	31	different	different	ADJ
iajs-3294	345	32	priors	prior	NOUN
iajs-3294	345	33	with	with	ADP
iajs-3294	345	34	the	the	DET
iajs-3294	345	35	true	true	ADJ
iajs-3294	345	36	value	value	NOUN
iajs-3294	345	37	)	)	PUNCT
iajs-3294	345	38	5	5	NUM
iajs-3294	345	39	(	(	PUNCT
iajs-3294	345	40	=	=	NOUN
iajs-3294	345	41			PROPN
iajs-3294	345	42	and	and	CCONJ
iajs-3294	345	43	r=5000	r=5000	PROPN
iajs-3294	345	44	.	.	PUNCT
iajs-3294	346	1	n	n	CCONJ
iajs-3294	346	2	true	true	ADJ
iajs-3294	346	3	value	value	NOUN
iajs-3294	346	4	)	)	PUNCT
iajs-3294	346	5	5	5	NUM
iajs-3294	346	6	(	(	PUNCT
iajs-3294	346	7	=	=	NOUN
iajs-3294	346	8			ADJ
iajs-3294	346	9	a=-1	a=-1	PUNCT
iajs-3294	346	10	a=1	a=1	PUNCT
iajs-3294	346	11	a=2	a=2	ADP
iajs-3294	346	12	bayes	bayes	NOUN
iajs-3294	346	13	under	under	ADP
iajs-3294	346	14	�	�	NOUN
iajs-3294	346	15	̂	̂	NUM
iajs-3294	346	16	�	�	PROPN
iajs-3294	346	17	gelf	gelf	PROPN
iajs-3294	346	18	mse	mse	PROPN
iajs-3294	346	19	�	�	PROPN
iajs-3294	346	20	̂	̂	PROPN
iajs-3294	346	21	�	�	PROPN
iajs-3294	346	22	gelf	gelf	PROPN
iajs-3294	346	23	mse	mse	PROPN
iajs-3294	346	24	�	�	PROPN
iajs-3294	346	25	̂	̂	PROPN
iajs-3294	346	26	�	�	NOUN
iajs-3294	346	27	gelf	gelf	NOUN
iajs-3294	346	28	mse	mse	NOUN
iajs-3294	346	29	15	15	NUM
iajs-3294	346	30	inverse	inverse	NOUN
iajs-3294	346	31	gamma	gamma	NOUN
iajs-3294	346	32	3)η	3)η	NUM
iajs-3294	346	33	4,(λ	4,(λ	NOUN
iajs-3294	347	1	=	=	X
iajs-3294	347	2	=	=	SYM
iajs-3294	347	3	4.6106	4.6106	NUM
iajs-3294	347	4	1.431	1.431	NUM
iajs-3294	347	5	4.3544	4.3544	NUM
iajs-3294	347	6	1.5579	1.5579	NUM
iajs-3294	347	7	4.2383	4.2383	NUM
iajs-3294	347	8	1.6613	1.6613	NUM
iajs-3294	347	9	inverse	inverse	ADJ
iajs-3294	347	10	chi	chi	NOUN
iajs-3294	347	11	-	-	PUNCT
iajs-3294	347	12	square	square	NOUN
iajs-3294	347	13	)	)	PUNCT
iajs-3294	347	14	4(k	4(k	NUM
iajs-3294	348	1	=	=	NUM
iajs-3294	348	2	4.7737	4.7737	NUM
iajs-3294	348	3	1.4955	1.4955	NUM
iajs-3294	348	4	4.4929	4.4929	NUM
iajs-3294	348	5	1.5365	1.5365	NUM
iajs-3294	348	6	4.3663	4.3663	NUM
iajs-3294	348	7	1.6098	1.6098	NUM
iajs-3294	348	8	the	the	DET
iajs-3294	348	9	standard	standard	ADJ
iajs-3294	348	10	levy	levy	NOUN
iajs-3294	348	11	)	)	PUNCT
iajs-3294	349	1	6.0(ω	6.0(ω	PUNCT
iajs-3294	350	1	=	=	PUNCT
iajs-3294	350	2	5.1503	5.1503	NUM
iajs-3294	350	3	1.7811	1.7811	NUM
iajs-3294	350	4	4.818	4.818	NUM
iajs-3294	350	5	1.572	1.572	NUM
iajs-3294	350	6	4.6697	4.6697	NUM
iajs-3294	350	7	1.5547	1.5547	NUM
iajs-3294	350	8	25	25	NUM
iajs-3294	350	9	inverse	inverse	NOUN
iajs-3294	350	10	gamma	gamma	NOUN
iajs-3294	350	11	3)η	3)η	NUM
iajs-3294	350	12	4,(λ	4,(λ	NOUN
iajs-3294	351	1	=	=	NOUN
iajs-3294	351	2	=	=	SYM
iajs-3294	351	3	4.7867	4.7867	NUM
iajs-3294	351	4	0.8817	0.8817	NUM
iajs-3294	351	5	4.6157	4.6157	NUM
iajs-3294	351	6	0.9252	0.9252	NUM
iajs-3294	351	7	4.5354	4.5354	NUM
iajs-3294	351	8	0.9666	0.9666	NUM
iajs-3294	351	9	inverse	inverse	ADJ
iajs-3294	351	10	chi	chi	NOUN
iajs-3294	351	11	-	-	PUNCT
iajs-3294	351	12	square	square	NOUN
iajs-3294	351	13	)	)	PUNCT
iajs-3294	351	14	4(k	4(k	NUM
iajs-3294	352	1	=	=	SYM
iajs-3294	352	2	4.8938	4.8938	NUM
iajs-3294	352	3	0.913	0.913	NUM
iajs-3294	352	4	4.7126	4.7126	NUM
iajs-3294	352	5	0.9188	0.9188	NUM
iajs-3294	352	6	4.6277	4.6277	NUM
iajs-3294	352	7	0.945	0.945	NUM
iajs-3294	352	8	the	the	DET
iajs-3294	352	9	standard	standard	ADJ
iajs-3294	352	10	levy	levy	NOUN
iajs-3294	352	11	)	)	PUNCT
iajs-3294	352	12	6.0(ω	6.0(ω	PUNCT
iajs-3294	353	1	=	=	PUNCT
iajs-3294	354	1	5.1241	5.1241	NUM
iajs-3294	354	2	1.031	1.031	NUM
iajs-3294	354	3	4.9231	4.9231	NUM
iajs-3294	354	4	0.9434	0.9434	NUM
iajs-3294	354	5	4.8294	4.8294	NUM
iajs-3294	354	6	0.9312	0.9312	NUM
iajs-3294	354	7	50	50	NUM
iajs-3294	354	8	inverse	inverse	NOUN
iajs-3294	354	9	gamma	gamma	NOUN
iajs-3294	354	10	3)η	3)η	NUM
iajs-3294	354	11	4,(λ	4,(λ	NOUN
iajs-3294	355	1	=	=	X
iajs-3294	355	2	=	=	SYM
iajs-3294	355	3	4.8964	4.8964	NUM
iajs-3294	355	4	0.4789	0.4789	NUM
iajs-3294	355	5	4.804	4.804	NUM
iajs-3294	355	6	0.4891	0.4891	NUM
iajs-3294	355	7	4.7593	4.7593	NUM
iajs-3294	355	8	0.5003	0.5003	NUM
iajs-3294	355	9	inverse	inverse	NOUN
iajs-3294	355	10	chi	chi	NOUN
iajs-3294	355	11	-	-	PUNCT
iajs-3294	355	12	square	square	NOUN
iajs-3294	355	13	)	)	PUNCT
iajs-3294	355	14	4(k	4(k	NUM
iajs-3294	356	1	=	=	SYM
iajs-3294	356	2	4.9532	4.9532	NUM
iajs-3294	356	3	0.4889	0.4889	NUM
iajs-3294	356	4	4.8579	4.8579	NUM
iajs-3294	356	5	0.4884	0.4884	NUM
iajs-3294	356	6	4.8119	4.8119	NUM
iajs-3294	356	7	0.4947	0.4947	NUM
iajs-3294	356	8	the	the	DET
iajs-3294	356	9	standard	standard	ADJ
iajs-3294	356	10	levy	levy	NOUN
iajs-3294	356	11	)	)	PUNCT
iajs-3294	356	12	6.0(ω	6.0(ω	PUNCT
iajs-3294	357	1	=	=	PUNCT
iajs-3294	358	1	5.0689	5.0689	NUM
iajs-3294	358	2	0.5214	0.5214	NUM
iajs-3294	358	3	4.9686	4.9686	NUM
iajs-3294	358	4	0.4974	0.4974	NUM
iajs-3294	358	5	4.9201	4.9201	NUM
iajs-3294	358	6	0.4932	0.4932	NUM
iajs-3294	358	7	75	75	NUM
iajs-3294	358	8	inverse	inverse	NOUN
iajs-3294	358	9	gamma	gamma	NOUN
iajs-3294	358	10	3)η	3)η	NUM
iajs-3294	358	11	4,(λ	4,(λ	NOUN
iajs-3294	358	12	=	=	NOUN
iajs-3294	358	13	=	=	SYM
iajs-3294	358	14	4.9287	4.9287	NUM
iajs-3294	358	15	0.3281	0.3281	NUM
iajs-3294	358	16	4.8655	4.8655	NUM
iajs-3294	358	17	0.3328	0.3328	NUM
iajs-3294	358	18	4.8346	4.8346	NUM
iajs-3294	358	19	0.3381	0.3381	NUM
iajs-3294	358	20	inverse	inverse	ADJ
iajs-3294	358	21	chi	chi	NOUN
iajs-3294	358	22	-	-	PUNCT
iajs-3294	358	23	square	square	NOUN
iajs-3294	358	24	)	)	PUNCT
iajs-3294	358	25	4(k	4(k	NUM
iajs-3294	359	1	=	=	NUM
iajs-3294	359	2	4.9673	4.9673	NUM
iajs-3294	359	3	0.3326	0.3326	NUM
iajs-3294	359	4	4.9027	4.9027	NUM
iajs-3294	359	5	0.3324	0.3324	NUM
iajs-3294	359	6	4.8712	4.8712	NUM
iajs-3294	359	7	0.3354	0.3354	NUM
iajs-3294	359	8	the	the	DET
iajs-3294	359	9	standard	standard	ADJ
iajs-3294	359	10	levy	levy	NOUN
iajs-3294	359	11	)	)	PUNCT
iajs-3294	359	12	6.0(ω	6.0(ω	PUNCT
iajs-3294	360	1	=	=	PUNCT
iajs-3294	360	2	5.0445	5.0445	NUM
iajs-3294	360	3	0.347	0.347	NUM
iajs-3294	360	4	4.9776	4.9776	NUM
iajs-3294	360	5	0.3365	0.3365	NUM
iajs-3294	360	6	4.945	4.945	NUM
iajs-3294	360	7	0.3346	0.3346	NUM
iajs-3294	360	8	100	100	NUM
iajs-3294	360	9	inverse	inverse	NOUN
iajs-3294	360	10	gamma	gamma	NOUN
iajs-3294	360	11	3)η	3)η	NUM
iajs-3294	360	12	4,(λ	4,(λ	NOUN
iajs-3294	361	1	=	=	NOUN
iajs-3294	361	2	=	=	X
iajs-3294	361	3	4.9333	4.9333	NUM
iajs-3294	361	4	0.241	0.241	NUM
iajs-3294	361	5	4.8854	4.8854	NUM
iajs-3294	361	6	0.2451	0.2451	NUM
iajs-3294	361	7	4.8619	4.8619	NUM
iajs-3294	361	8	0.2489	0.2489	NUM
iajs-3294	361	9	inverse	inverse	NOUN
iajs-3294	361	10	chi	chi	NOUN
iajs-3294	361	11	-	-	PUNCT
iajs-3294	361	12	square	square	NOUN
iajs-3294	361	13	)	)	PUNCT
iajs-3294	361	14	4(k	4(k	NUM
iajs-3294	362	1	=	=	NUM
iajs-3294	362	2	4.9624	4.9624	NUM
iajs-3294	362	3	0.2427	0.2427	NUM
iajs-3294	362	4	4.9137	4.9137	NUM
iajs-3294	362	5	0.244	0.244	NUM
iajs-3294	362	6	4.8898	4.8898	NUM
iajs-3294	362	7	0.2464	0.2464	NUM
iajs-3294	362	8	the	the	DET
iajs-3294	362	9	standard	standard	ADJ
iajs-3294	362	10	levy	levy	NOUN
iajs-3294	362	11	)	)	PUNCT
iajs-3294	362	12	6.0(ω	6.0(ω	PUNCT
iajs-3294	363	1	=	=	PUNCT
iajs-3294	363	2	5.0201	5.0201	NUM
iajs-3294	363	3	0.249	0.249	NUM
iajs-3294	363	4	4.9701	4.9701	NUM
iajs-3294	363	5	0.2446	0.2446	NUM
iajs-3294	363	6	4.9456	4.9456	NUM
iajs-3294	363	7	0.2443	0.2443	NUM
iajs-3294	363	8	for	for	ADP
iajs-3294	363	9	the	the	DET
iajs-3294	363	10	results	result	NOUN
iajs-3294	363	11	listed	list	VERB
iajs-3294	363	12	in	in	ADP
iajs-3294	363	13	table	table	NOUN
iajs-3294	363	14	4	4	NUM
iajs-3294	363	15	which	which	PRON
iajs-3294	363	16	represented	represent	VERB
iajs-3294	363	17	by	by	ADP
iajs-3294	363	18	the	the	DET
iajs-3294	363	19	estimated	estimate	VERB
iajs-3294	363	20	values	value	NOUN
iajs-3294	363	21	of	of	ADP
iajs-3294	363	22	the	the	DET
iajs-3294	363	23	estimated	estimate	VERB
iajs-3294	363	24	values	value	NOUN
iajs-3294	363	25	of	of	ADP
iajs-3294	363	26	the	the	DET
iajs-3294	363	27	bayes	bayes	NOUN
iajs-3294	363	28	estimators	estimator	NOUN
iajs-3294	363	29	)	)	PUNCT
iajs-3294	363	30	gelf	gelf	NOUN
iajs-3294	363	31	^	^	PUNCT
iajs-3294	363	32	(	(	PUNCT
iajs-3294	363	33			PROPN
iajs-3294	363	34	and	and	CCONJ
iajs-3294	363	35	mse	mse	NOUN
iajs-3294	363	36	’s	’s	PART
iajs-3294	363	37	for	for	ADP
iajs-3294	363	38	the	the	DET
iajs-3294	363	39	estimators	estimator	NOUN
iajs-3294	363	40	of	of	ADP
iajs-3294	363	41	the	the	DET
iajs-3294	363	42	inverse	inverse	ADJ
iajs-3294	363	43	rayleigh	rayleigh	NOUN
iajs-3294	363	44	distribution	distribution	NOUN
iajs-3294	363	45	based	base	VERB
iajs-3294	363	46	on	on	ADP
iajs-3294	363	47	the	the	DET
iajs-3294	363	48	gelf	gelf	NOUN
iajs-3294	363	49	,	,	PUNCT
iajs-3294	363	50	under	under	ADP
iajs-3294	363	51	different	different	ADJ
iajs-3294	363	52	priors	prior	NOUN
iajs-3294	363	53	.we	.we	PUNCT
iajs-3294	363	54	see	see	VERB
iajs-3294	363	55	that	that	SCONJ
iajs-3294	363	56	the	the	DET
iajs-3294	363	57	best	good	ADJ
iajs-3294	363	58	bayes	bayes	NOUN
iajs-3294	363	59	estimates	estimate	VERB
iajs-3294	363	60	)	)	PUNCT
iajs-3294	363	61	(	(	PUNCT
iajs-3294	363	62	^	^	PUNCT
iajs-3294	363	63			ADJ
iajs-3294	363	64	of	of	ADP
iajs-3294	363	65			PROPN
iajs-3294	363	66	based	base	VERB
iajs-3294	363	67	on	on	ADP
iajs-3294	363	68	gelf	gelf	NOUN
iajs-3294	363	69	with	with	ADP
iajs-3294	363	70	the	the	DET
iajs-3294	363	71	shape	shape	NOUN
iajs-3294	363	72	parameter	parameter	NOUN
iajs-3294	363	73	(	(	PUNCT
iajs-3294	363	74	a	a	NOUN
iajs-3294	363	75	)	)	PUNCT
iajs-3294	363	76	where	where	SCONJ
iajs-3294	363	77	•	•	NOUN
iajs-3294	363	78	a=-1	a=-1	ADV
iajs-3294	363	79	,	,	PUNCT
iajs-3294	363	80	under	under	ADP
iajs-3294	363	81	the	the	DET
iajs-3294	363	82	inverse	inverse	NOUN
iajs-3294	363	83	gamma	gamma	NOUN
iajs-3294	363	84	3)η	3)η	NUM
iajs-3294	363	85	4,(λ	4,(λ	PROPN
iajs-3294	364	1	=	=	NOUN
iajs-3294	364	2	=	=	SYM
iajs-3294	364	3	and	and	CCONJ
iajs-3294	364	4	inverse	inverse	ADJ
iajs-3294	364	5	chi	chi	ADJ
iajs-3294	364	6	-	-	PUNCT
iajs-3294	364	7	square	square	NOUN
iajs-3294	364	8	)	)	PUNCT
iajs-3294	364	9	4(k	4(k	NUM
iajs-3294	365	1	=	=	X
iajs-3294	365	2	,	,	PUNCT
iajs-3294	365	3	for	for	ADP
iajs-3294	365	4	all	all	DET
iajs-3294	365	5	samples	sample	NOUN
iajs-3294	365	6	sizes(n	sizes(n	NOUN
iajs-3294	365	7	)	)	PUNCT
iajs-3294	365	8	.	.	PUNCT
iajs-3294	366	1	•	•	NUM
iajs-3294	366	2	a=1	a=1	PUNCT
iajs-3294	366	3	,	,	PUNCT
iajs-3294	366	4	under	under	ADP
iajs-3294	366	5	the	the	DET
iajs-3294	366	6	inverse	inverse	NOUN
iajs-3294	366	7	gamma	gamma	NOUN
iajs-3294	366	8	3)η	3)η	NUM
iajs-3294	366	9	4,(λ	4,(λ	PROPN
iajs-3294	367	1	=	=	NOUN
iajs-3294	367	2	=	=	NOUN
iajs-3294	367	3	,	,	PUNCT
iajs-3294	367	4	inverse	inverse	ADJ
iajs-3294	367	5	chi	chi	NOUN
iajs-3294	367	6	-	-	PUNCT
iajs-3294	367	7	square	square	NOUN
iajs-3294	367	8	)	)	PUNCT
iajs-3294	367	9	4(k	4(k	NUM
iajs-3294	368	1	=	=	SYM
iajs-3294	368	2	and	and	CCONJ
iajs-3294	368	3	the	the	DET
iajs-3294	368	4	standard	standard	ADJ
iajs-3294	368	5	levy	levy	NOUN
iajs-3294	368	6	)	)	PUNCT
iajs-3294	369	1	6.0(ω	6.0(ω	PUNCT
iajs-3294	370	1	=	=	SYM
iajs-3294	370	2	,	,	PUNCT
iajs-3294	370	3	for	for	ADP
iajs-3294	370	4	all	all	DET
iajs-3294	370	5	samples	sample	NOUN
iajs-3294	370	6	sizes(n	sizes(n	NOUN
iajs-3294	370	7	)	)	PUNCT
iajs-3294	370	8	.	.	PUNCT
iajs-3294	371	1	•	•	NUM
iajs-3294	372	1	a=2	a=2	ADV
iajs-3294	372	2	,	,	PUNCT
iajs-3294	372	3	under	under	ADP
iajs-3294	372	4	the	the	DET
iajs-3294	372	5	inverse	inverse	NOUN
iajs-3294	372	6	gamma	gamma	NOUN
iajs-3294	372	7	3)η	3)η	NUM
iajs-3294	372	8	4,(λ	4,(λ	PROPN
iajs-3294	373	1	=	=	NOUN
iajs-3294	373	2	=	=	NOUN
iajs-3294	373	3	,	,	PUNCT
iajs-3294	373	4	inverse	inverse	ADJ
iajs-3294	373	5	chi	chi	NOUN
iajs-3294	373	6	-	-	PUNCT
iajs-3294	373	7	square	square	NOUN
iajs-3294	373	8	)	)	PUNCT
iajs-3294	373	9	4(k	4(k	NUM
iajs-3294	374	1	=	=	SYM
iajs-3294	374	2	and	and	CCONJ
iajs-3294	374	3	the	the	DET
iajs-3294	374	4	standard	standard	ADJ
iajs-3294	374	5	levy	levy	NOUN
iajs-3294	374	6	)	)	PUNCT
iajs-3294	375	1	6.0(ω	6.0(ω	PUNCT
iajs-3294	376	1	=	=	SYM
iajs-3294	376	2	,	,	PUNCT
iajs-3294	376	3	for	for	ADP
iajs-3294	376	4	)	)	PUNCT
iajs-3294	376	5	50(n	50(n	NUM
iajs-3294	376	6			VERB
iajs-3294	376	7	according	accord	VERB
iajs-3294	376	8	to	to	ADP
iajs-3294	376	9	the	the	DET
iajs-3294	376	10	smallest	small	ADJ
iajs-3294	376	11	mean	mean	ADJ
iajs-3294	376	12	square	square	ADJ
iajs-3294	376	13	error	error	NOUN
iajs-3294	376	14	(	(	PUNCT
iajs-3294	376	15	mse	mse	NOUN
iajs-3294	376	16	)	)	PUNCT
iajs-3294	376	17	compared	compare	VERB
iajs-3294	376	18	with	with	ADP
iajs-3294	376	19	the	the	DET
iajs-3294	376	20	mle	mle	PROPN
iajs-3294	376	21	estimators	estimator	NOUN
iajs-3294	376	22	.	.	PUNCT
iajs-3294	377	1	6	6	X
iajs-3294	377	2	.	.	X
iajs-3294	377	3	conclusion	conclusion	NOUN
iajs-3294	377	4	in	in	ADP
iajs-3294	377	5	this	this	DET
iajs-3294	377	6	study	study	NOUN
iajs-3294	377	7	,	,	PUNCT
iajs-3294	377	8	we	we	PRON
iajs-3294	377	9	derived	derive	VERB
iajs-3294	377	10	bayesian	bayesian	NOUN
iajs-3294	377	11	estimation	estimation	NOUN
iajs-3294	377	12	of	of	ADP
iajs-3294	377	13	unknown	unknown	ADJ
iajs-3294	377	14	scale	scale	NOUN
iajs-3294	377	15	parameter	parameter	NOUN
iajs-3294	377	16			PROPN
iajs-3294	377	17	of	of	ADP
iajs-3294	377	18	the	the	DET
iajs-3294	377	19	inverse	inverse	ADJ
iajs-3294	377	20	rayleigh	rayleigh	NOUN
iajs-3294	377	21	distribution	distribution	NOUN
iajs-3294	377	22	(	(	PUNCT
iajs-3294	377	23	ird	ird	PROPN
iajs-3294	377	24	)	)	PUNCT
iajs-3294	377	25	based	base	VERB
iajs-3294	377	26	on	on	ADP
iajs-3294	377	27	general	general	ADJ
iajs-3294	377	28	entropy	entropy	NOUN
iajs-3294	377	29	loss	loss	NOUN
iajs-3294	377	30	function	function	NOUN
iajs-3294	377	31	(	(	PUNCT
iajs-3294	377	32	gelf	gelf	NOUN
iajs-3294	377	33	)	)	PUNCT
iajs-3294	377	34	under	under	ADP
iajs-3294	377	35	three	three	NUM
iajs-3294	377	36	different	different	ADJ
iajs-3294	377	37	priors	prior	NOUN
iajs-3294	377	38	represented	represent	VERB
iajs-3294	377	39	by	by	ADP
iajs-3294	377	40	the	the	DET
iajs-3294	377	41	inverse	inverse	NOUN
iajs-3294	377	42	gamma	gamma	NOUN
iajs-3294	377	43	,	,	PUNCT
iajs-3294	377	44	the	the	DET
iajs-3294	377	45	inverse	inverse	ADJ
iajs-3294	377	46	chi	chi	NOUN
iajs-3294	377	47	-	-	PUNCT
iajs-3294	377	48	square	square	NOUN
iajs-3294	377	49	and	and	CCONJ
iajs-3294	377	50	the	the	DET
iajs-3294	377	51	standard	standard	ADJ
iajs-3294	377	52	levy	levy	NOUN
iajs-3294	377	53	as	as	ADP
iajs-3294	377	54	priors	prior	NOUN
iajs-3294	377	55	.	.	PUNCT
iajs-3294	378	1	in	in	ADP
iajs-3294	378	2	addition	addition	NOUN
iajs-3294	378	3	to	to	ADP
iajs-3294	378	4	the	the	DET
iajs-3294	378	5	maximum	maximum	ADJ
iajs-3294	378	6	likelihood	likelihood	NOUN
iajs-3294	378	7	estimator	estimator	NOUN
iajs-3294	378	8	(	(	PUNCT
iajs-3294	378	9	mle	mle	PROPN
iajs-3294	378	10	)	)	PUNCT
iajs-3294	378	11	of	of	ADP
iajs-3294	378	12	the	the	DET
iajs-3294	378	13	scale	scale	NOUN
iajs-3294	378	14	parameter	parameter	NOUN
iajs-3294	378	15	of	of	ADP
iajs-3294	378	16	ird	ird	PROPN
iajs-3294	378	17	.	.	PROPN
iajs-3294	379	1	from	from	ADP
iajs-3294	379	2	the	the	DET
iajs-3294	379	3	simulation	simulation	NOUN
iajs-3294	379	4	study	study	NOUN
iajs-3294	379	5	,	,	PUNCT
iajs-3294	379	6	we	we	PRON
iajs-3294	379	7	noted	note	VERB
iajs-3294	379	8	that	that	SCONJ
iajs-3294	379	9	bayes	bayes	PROPN
iajs-3294	379	10	estimators	estimator	NOUN
iajs-3294	379	11	under	under	ADP
iajs-3294	379	12	the	the	PRON
iajs-3294	379	13	based	base	VERB
iajs-3294	379	14	on	on	ADP
iajs-3294	379	15	general	general	ADJ
iajs-3294	379	16	entropy	entropy	NOUN
iajs-3294	379	17	loss	loss	NOUN
iajs-3294	379	18	function	function	NOUN
iajs-3294	379	19	(	(	PUNCT
iajs-3294	379	20	gelf	gelf	NOUN
iajs-3294	379	21	)	)	PUNCT
iajs-3294	379	22	showed	show	VERB
iajs-3294	379	23	better	well	ADJ
iajs-3294	379	24	performance	performance	NOUN
iajs-3294	379	25	than	than	ADP
iajs-3294	379	26	the	the	DET
iajs-3294	379	27	maximum	maximum	ADJ
iajs-3294	379	28	likelihood	likelihood	NOUN
iajs-3294	379	29	estimator	estimator	NOUN
iajs-3294	379	30	(	(	PUNCT
iajs-3294	379	31	mle	mle	PROPN
iajs-3294	379	32	)	)	PUNCT
iajs-3294	379	33	using	use	VERB
iajs-3294	379	34	the	the	DET
iajs-3294	379	35	mean	mean	ADJ
iajs-3294	379	36	square	square	ADJ
iajs-3294	379	37	error	error	NOUN
iajs-3294	379	38	criterion	criterion	NOUN
iajs-3294	379	39	(	(	PUNCT
iajs-3294	379	40	mse	mse	NOUN
iajs-3294	379	41	)	)	PUNCT
iajs-3294	379	42	.	.	PUNCT
iajs-3294	380	1	also	also	ADV
iajs-3294	380	2	,	,	PUNCT
iajs-3294	380	3	the	the	DET
iajs-3294	380	4	results	result	NOUN
iajs-3294	380	5	showed	show	VERB
iajs-3294	380	6	that	that	SCONJ
iajs-3294	380	7	the	the	DET
iajs-3294	380	8	posterior	posterior	ADJ
iajs-3294	380	9	distribution	distribution	NOUN
iajs-3294	380	10	obtained	obtain	VERB
iajs-3294	380	11	under	under	ADP
iajs-3294	380	12	the	the	DET
iajs-3294	380	13	inverse	inverse	NOUN
iajs-3294	380	14	gamma	gamma	NOUN
iajs-3294	380	15	prior	prior	ADV
iajs-3294	380	16	based	base	VERB
iajs-3294	380	17	on	on	ADP
iajs-3294	380	18	gelf	gelf	NOUN
iajs-3294	380	19	with	with	ADP
iajs-3294	380	20	a=-1	a=-1	ADP
iajs-3294	380	21	,	,	PUNCT
iajs-3294	380	22	the	the	DET
iajs-3294	380	23	standard	standard	ADJ
iajs-3294	380	24	levy	levy	NOUN
iajs-3294	380	25	prior	prior	ADV
iajs-3294	380	26	based	base	VERB
iajs-3294	380	27	on	on	ADP
iajs-3294	380	28	gelf	gelf	NOUN
iajs-3294	380	29	with	with	ADP
iajs-3294	380	30	a=2	a=2	ADV
iajs-3294	380	31	,	,	PUNCT
iajs-3294	380	32	and	and	CCONJ
iajs-3294	380	33	the	the	DET
iajs-3294	380	34	inverse	inverse	ADJ
iajs-3294	380	35	chi	chi	NOUN
iajs-3294	380	36	-	-	PUNCT
iajs-3294	380	37	squared	square	VERB
iajs-3294	380	38	prior	prior	ADV
iajs-3294	380	39	based	base	VERB
iajs-3294	380	40	on	on	ADP
iajs-3294	380	41	gelf	gelf	NOUN
iajs-3294	380	42	with	with	ADP
iajs-3294	380	43	a=1	a=1	PUNCT
iajs-3294	380	44	corresponding	correspond	VERB
iajs-3294	380	45	to	to	ADP
iajs-3294	380	46	ihjpas	ihjpas	PROPN
iajs-3294	380	47	.	.	PUNCT
iajs-3294	381	1	2024	2024	NUM
iajs-3294	381	2	,	,	PUNCT
iajs-3294	381	3	37	37	NUM
iajs-3294	381	4	(	(	PUNCT
iajs-3294	381	5	3	3	NUM
iajs-3294	381	6	)	)	PUNCT
iajs-3294	381	7	367	367	NUM
iajs-3294	381	8	the	the	DET
iajs-3294	381	9	true	true	ADJ
iajs-3294	381	10	values	value	NOUN
iajs-3294	381	11	of	of	ADP
iajs-3294	381	12	ird	ird	PROPN
iajs-3294	381	13	provided	provide	VERB
iajs-3294	381	14	more	more	ADV
iajs-3294	381	15	accurate	accurate	ADJ
iajs-3294	381	16	results	result	NOUN
iajs-3294	381	17	in	in	ADP
iajs-3294	381	18	terms	term	NOUN
iajs-3294	381	19	of	of	ADP
iajs-3294	381	20	minimum	minimum	NOUN
iajs-3294	381	21	mse	mse	NOUN
iajs-3294	381	22	for	for	ADP
iajs-3294	381	23	all	all	DET
iajs-3294	381	24	samples	sample	NOUN
iajs-3294	381	25	sizes(n	sizes(n	NOUN
iajs-3294	381	26	)	)	PUNCT
iajs-3294	381	27	.	.	PUNCT
iajs-3294	382	1	acknowledgement	acknowledgement	NOUN
iajs-3294	382	2	i	i	PRON
iajs-3294	382	3	extend	extend	VERB
iajs-3294	382	4	my	my	PRON
iajs-3294	382	5	thanks	thank	NOUN
iajs-3294	382	6	to	to	ADP
iajs-3294	382	7	reviewers	reviewer	NOUN
iajs-3294	382	8	and	and	CCONJ
iajs-3294	382	9	the	the	DET
iajs-3294	382	10	editor	editor	NOUN
iajs-3294	382	11	who	who	PRON
iajs-3294	382	12	contributed	contribute	VERB
iajs-3294	382	13	to	to	ADP
iajs-3294	382	14	presenting	present	VERB
iajs-3294	382	15	and	and	CCONJ
iajs-3294	382	16	improving	improve	VERB
iajs-3294	382	17	this	this	DET
iajs-3294	382	18	paper	paper	NOUN
iajs-3294	382	19	.	.	PUNCT
iajs-3294	383	1	conflict	conflict	NOUN
iajs-3294	383	2	of	of	ADP
iajs-3294	383	3	interest	interest	NOUN
iajs-3294	383	4	no	no	DET
iajs-3294	383	5	conflicts	conflict	NOUN
iajs-3294	383	6	of	of	ADP
iajs-3294	383	7	interest	interest	NOUN
iajs-3294	383	8	.	.	PUNCT
iajs-3294	384	1	funding	funding	NOUN
iajs-3294	384	2	there	there	PRON
iajs-3294	384	3	is	be	VERB
iajs-3294	384	4	no	no	DET
iajs-3294	384	5	financial	financial	ADJ
iajs-3294	384	6	support	support	NOUN
iajs-3294	384	7	in	in	ADP
iajs-3294	384	8	preparation	preparation	NOUN
iajs-3294	384	9	for	for	ADP
iajs-3294	384	10	the	the	DET
iajs-3294	384	11	publication	publication	NOUN
iajs-3294	384	12	.	.	PUNCT
iajs-3294	385	1	references	reference	NOUN
iajs-3294	385	2	1	1	NUM
iajs-3294	385	3	.	.	PUNCT
iajs-3294	385	4	soliman	soliman	PROPN
iajs-3294	385	5	,	,	PUNCT
iajs-3294	385	6	a.	a.	PROPN
iajs-3294	385	7	;	;	PUNCT
iajs-3294	385	8	essam	essam	PROPN
iajs-3294	385	9	,	,	PUNCT
iajs-3294	385	10	a.	a.	NOUN
iajs-3294	385	11	a.	a.	PROPN
iajs-3294	385	12	;	;	PUNCT
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iajs-3294	385	14	,	,	PUNCT
iajs-3294	385	15	a.a	a.a	PROPN
iajs-3294	385	16	.	.	PROPN
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iajs-3294	386	4	.	.	PUNCT
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iajs-3294	387	2	,	,	PUNCT
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iajs-3294	387	5	,	,	PUNCT
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iajs-3294	387	8	.	.	PUNCT
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iajs-3294	388	18	distribution	distribution	NOUN
iajs-3294	388	19	.	.	PUNCT
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iajs-3294	389	5	sciences	science	NOUN
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iajs-3294	389	8	,	,	PUNCT
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iajs-3294	389	10	)	)	PUNCT
iajs-3294	389	11	,	,	PUNCT
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iajs-3294	389	13	-	-	SYM
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iajs-3294	389	15	.	.	PUNCT
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iajs-3294	390	9	,	,	PUNCT
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iajs-3294	390	11	.	.	PROPN
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iajs-3294	390	25	.	.	PUNCT
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iajs-3294	391	4	.	.	PUNCT
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iajs-3294	392	2	,	,	PUNCT
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iajs-3294	392	4	-	-	SYM
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iajs-3294	392	6	.	.	PUNCT
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iajs-3294	393	2	.	.	X
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iajs-3294	393	7	;	;	PUNCT
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iajs-3294	393	9	,	,	PUNCT
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iajs-3294	393	11	;	;	PUNCT
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iajs-3294	393	24	distribution	distribution	NOUN
iajs-3294	393	25	for	for	ADP
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iajs-3294	393	29	.	.	PUNCT
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iajs-3294	395	2	.	.	PUNCT
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iajs-3294	396	2	.	.	PUNCT
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iajs-3294	397	2	,	,	PUNCT
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iajs-3294	397	4	,	,	PUNCT
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iajs-3294	397	6	-	-	SYM
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iajs-3294	397	8	.	.	PUNCT
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iajs-3294	398	2	.	.	X
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iajs-3294	398	11	.	.	PUNCT
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iajs-3294	399	2	journal	journal	PROPN
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iajs-3294	399	10	)	)	PUNCT
iajs-3294	399	11	,	,	PUNCT
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iajs-3294	399	13	,	,	PUNCT
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iajs-3294	399	15	-	-	SYM
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iajs-3294	399	17	.	.	PUNCT
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iajs-3294	401	2	.	.	X
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iajs-3294	401	16	.	.	PUNCT
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iajs-3294	402	16	-	-	SYM
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iajs-3294	402	18	.	.	PUNCT
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iajs-3294	404	21	.	.	PUNCT
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iajs-3294	405	12	-	-	SYM
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iajs-3294	405	14	.	.	PUNCT
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iajs-3294	409	8	.	.	PUNCT
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iajs-3294	410	11	.	.	PUNCT
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iajs-3294	412	2	.	.	X
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iajs-3294	413	22	.	.	PUNCT
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iajs-3294	415	2	,	,	PUNCT
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iajs-3294	415	4	-	-	SYM
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iajs-3294	415	6	.	.	PUNCT
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iajs-3294	416	2	.	.	PUNCT
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iajs-3294	417	2	.	.	PUNCT
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iajs-3294	420	11	.	.	PUNCT
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iajs-3294	423	7	-	-	SYM
iajs-3294	423	8	37	37	NUM
iajs-3294	423	9	.	.	PUNCT
iajs-3294	424	1	https://doi.org/10.18187/pjsor.v15i1.2238	https://doi.org/10.18187/pjsor.v15i1.2238	NUM
iajs-3294	424	2	.	.	PUNCT
iajs-3294	425	1	13	13	NUM
iajs-3294	425	2	.	.	X
iajs-3294	426	1	zhang	zhang	PROPN
iajs-3294	426	2	,	,	PUNCT
iajs-3294	426	3	l.	l.	PROPN
iajs-3294	426	4	;	;	PUNCT
iajs-3294	426	5	zhang	zhang	PROPN
iajs-3294	426	6	,	,	PUNCT
iajs-3294	426	7	y.-y	y.-y	VERB
iajs-3294	426	8	.	.	PUNCT
iajs-3294	427	1	the	the	DET
iajs-3294	427	2	bayesian	bayesian	NOUN
iajs-3294	427	3	posterior	posterior	ADJ
iajs-3294	427	4	and	and	CCONJ
iajs-3294	427	5	marginal	marginal	ADJ
iajs-3294	427	6	densities	density	NOUN
iajs-3294	427	7	of	of	ADP
iajs-3294	427	8	the	the	DET
iajs-3294	427	9	hierarchical	hierarchical	ADJ
iajs-3294	427	10	gamma	gamma	NOUN
iajs-3294	427	11	–	–	PUNCT
iajs-3294	427	12	gamma	gamma	NOUN
iajs-3294	427	13	,	,	PUNCT
iajs-3294	427	14	gamma	gamma	NOUN
iajs-3294	427	15	–	–	PUNCT
iajs-3294	427	16	inverse	inverse	ADJ
iajs-3294	427	17	gamma	gamma	NOUN
iajs-3294	427	18	,	,	PUNCT
iajs-3294	427	19	inverse	inverse	ADJ
iajs-3294	427	20	gamma	gamma	NOUN
iajs-3294	427	21	–	–	PUNCT
iajs-3294	427	22	gamma	gamma	NOUN
iajs-3294	427	23	,	,	PUNCT
iajs-3294	427	24	and	and	CCONJ
iajs-3294	427	25	inverse	inverse	ADJ
iajs-3294	427	26	gamma	gamma	NOUN
iajs-3294	427	27	–	–	PUNCT
iajs-3294	427	28	inverse	inverse	NOUN
iajs-3294	427	29	gamma	gamma	NOUN
iajs-3294	427	30	models	model	NOUN
iajs-3294	427	31	with	with	ADP
iajs-3294	427	32	conjugate	conjugate	ADJ
iajs-3294	427	33	priors	prior	NOUN
iajs-3294	427	34	,	,	PUNCT
iajs-3294	427	35	mathematics	mathematic	NOUN
iajs-3294	427	36	,	,	PUNCT
iajs-3294	427	37	2022,10(21	2022,10(21	NUM
iajs-3294	427	38	)	)	PUNCT
iajs-3294	427	39	,	,	PUNCT
iajs-3294	427	40	4005	4005	NUM
iajs-3294	427	41	.	.	PUNCT
iajs-3294	428	1	https://doi.org/10.3390/math10214005	https://doi.org/10.3390/math10214005	NOUN
iajs-3294	428	2	.	.	PUNCT
iajs-3294	429	1	http://dx.doi.org/10.19026/rjaset.9.2605	http://dx.doi.org/10.19026/rjaset.9.2605	X
iajs-3294	429	2	http://dx.doi.org/10.26438/ijsrmss/v5i5.9296	http://dx.doi.org/10.26438/ijsrmss/v5i5.9296	X
iajs-3294	429	3	http://dx.doi.org/10.13052/jrss0974-8024.14112	http://dx.doi.org/10.13052/jrss0974-8024.14112	PROPN
iajs-3294	429	4	http://dx.doi.org/10.13052/jrss0974-8024.14112	http://dx.doi.org/10.13052/jrss0974-8024.14112	PROPN
iajs-3294	429	5	http://dx.doi.org/10.18187/pjsor.v1i1.115	http://dx.doi.org/10.18187/pjsor.v1i1.115	PROPN
iajs-3294	429	6	http://dx.doi.org/10.18187/pjsor.v15i1.2238	http://dx.doi.org/10.18187/pjsor.v15i1.2238	VERB
iajs-3294	429	7	http://dx.doi.org/10.3390/math10214005	http://dx.doi.org/10.3390/math10214005	PROPN
iajs-3294	429	8	ihjpas	ihjpas	PROPN
iajs-3294	429	9	.	.	PUNCT
iajs-3294	430	1	2024	2024	NUM
iajs-3294	430	2	,	,	PUNCT
iajs-3294	430	3	37	37	NUM
iajs-3294	430	4	(	(	PUNCT
iajs-3294	430	5	3	3	NUM
iajs-3294	430	6	)	)	PUNCT
iajs-3294	430	7	368	368	NUM
iajs-3294	430	8	14	14	NUM
iajs-3294	430	9	.	.	PUNCT
iajs-3294	431	1	kaewprasert	kaewprasert	PROPN
iajs-3294	431	2	,	,	PUNCT
iajs-3294	431	3	t.	t.	PROPN
iajs-3294	431	4	;	;	PUNCT
iajs-3294	431	5	niwitpong	niwitpong	PROPN
iajs-3294	431	6	,	,	PUNCT
iajs-3294	431	7	s.a	s.a	PROPN
iajs-3294	431	8	.	.	PROPN
iajs-3294	431	9	;	;	PUNCT
iajs-3294	431	10	niwitpong	niwitpong	PROPN
iajs-3294	431	11	,	,	PUNCT
iajs-3294	431	12	s.	s.	PROPN
iajs-3294	431	13	confidence	confidence	NOUN
iajs-3294	431	14	intervals	interval	NOUN
iajs-3294	431	15	for	for	ADP
iajs-3294	431	16	the	the	DET
iajs-3294	431	17	ratio	ratio	NOUN
iajs-3294	431	18	of	of	ADP
iajs-3294	431	19	the	the	DET
iajs-3294	431	20	coefficients	coefficient	NOUN
iajs-3294	431	21	of	of	ADP
iajs-3294	431	22	variation	variation	NOUN
iajs-3294	431	23	of	of	ADP
iajs-3294	431	24	inverse	inverse	NOUN
iajs-3294	431	25	gamma	gamma	NOUN
iajs-3294	431	26	distributions	distribution	NOUN
iajs-3294	431	27	,	,	PUNCT
iajs-3294	431	28	applied	apply	VERB
iajs-3294	431	29	science	science	NOUN
iajs-3294	431	30	and	and	CCONJ
iajs-3294	431	31	engineering	engineering	NOUN
iajs-3294	431	32	progress	progress	NOUN
iajs-3294	431	33	2023,16(1	2023,16(1	PROPN
iajs-3294	431	34	)	)	PUNCT
iajs-3294	431	35	,	,	PUNCT
iajs-3294	431	36	5660	5660	NUM
iajs-3294	431	37	.	.	PUNCT
iajs-3294	432	1	https://doi.org/10.14416/j.asep.2021.12.002	https://doi.org/10.14416/j.asep.2021.12.002	NOUN
iajs-3294	432	2	.	.	PUNCT
iajs-3294	433	1	15	15	NUM
iajs-3294	433	2	.	.	X
iajs-3294	433	3	bickel	bickel	PROPN
iajs-3294	433	4	,	,	PUNCT
iajs-3294	433	5	p.j	p.j	PROPN
iajs-3294	433	6	.	.	PROPN
iajs-3294	433	7	;	;	PUNCT
iajs-3294	433	8	doksum	doksum	ADJ
iajs-3294	433	9	,	,	PUNCT
iajs-3294	433	10	k.	k.	PROPN
iajs-3294	433	11	a.	a.	PROPN
iajs-3294	433	12	mathematical	mathematical	PROPN
iajs-3294	433	13	statistics	statistic	NOUN
iajs-3294	433	14	:	:	PUNCT
iajs-3294	433	15	basic	basic	ADJ
iajs-3294	433	16	ideas	idea	NOUN
iajs-3294	433	17	and	and	CCONJ
iajs-3294	433	18	selected	select	VERB
iajs-3294	433	19	topics	topic	NOUN
iajs-3294	433	20	,	,	PUNCT
iajs-3294	433	21	holdenday	holdenday	PROPN
iajs-3294	433	22	,	,	PUNCT
iajs-3294	433	23	inc	inc	PROPN
iajs-3294	433	24	.	.	PROPN
iajs-3294	433	25	,	,	PUNCT
iajs-3294	433	26	san	san	PROPN
iajs-3294	433	27	francisco	francisco	PROPN
iajs-3294	433	28	1977	1977	NUM
iajs-3294	433	29	.	.	PUNCT
iajs-3294	434	1	16	16	NUM
iajs-3294	434	2	.	.	PUNCT
iajs-3294	434	3	bickel	bickel	PROPN
iajs-3294	434	4	,	,	PUNCT
iajs-3294	434	5	p.j	p.j	PROPN
iajs-3294	434	6	.	.	PROPN
iajs-3294	434	7	;	;	PUNCT
iajs-3294	434	8	doksum	doksum	ADJ
iajs-3294	434	9	,	,	PUNCT
iajs-3294	434	10	k.	k.	PROPN
iajs-3294	434	11	a.	a.	PROPN
iajs-3294	434	12	mathematical	mathematical	PROPN
iajs-3294	434	13	statistics	statistic	NOUN
iajs-3294	434	14	:	:	PUNCT
iajs-3294	434	15	basic	basic	ADJ
iajs-3294	434	16	ideas	idea	NOUN
iajs-3294	434	17	and	and	CCONJ
iajs-3294	434	18	selected	select	VERB
iajs-3294	434	19	topics	topic	NOUN
iajs-3294	434	20	,	,	PUNCT
iajs-3294	434	21	new	new	PROPN
iajs-3294	434	22	york	york	PROPN
iajs-3294	434	23	,	,	PUNCT
iajs-3294	434	24	chapman	chapman	NOUN
iajs-3294	434	25	and	and	CCONJ
iajs-3294	434	26	hall	hall	PROPN
iajs-3294	434	27	/	/	SYM
iajs-3294	434	28	crc	crc	PROPN
iajs-3294	434	29	,	,	PUNCT
iajs-3294	434	30	i	i	PROPN
iajs-3294	434	31	,	,	PUNCT
iajs-3294	434	32	2nd	2nd	ADJ
iajs-3294	434	33	ed	ed	NOUN
iajs-3294	434	34	.	.	PROPN
iajs-3294	434	35	2015	2015	NUM
iajs-3294	434	36	,	,	PUNCT
iajs-3294	434	37	https://doi.org/10.1201/b18312	https://doi.org/10.1201/b18312	PROPN
iajs-3294	434	38	.	.	PUNCT
iajs-3294	434	39	17	17	NUM
iajs-3294	434	40	.	.	PUNCT
iajs-3294	435	1	puza	puza	PROPN
iajs-3294	435	2	,	,	PUNCT
iajs-3294	435	3	b.	b.	PROPN
iajs-3294	435	4	bayesian	bayesian	NOUN
iajs-3294	435	5	methods	method	NOUN
iajs-3294	435	6	for	for	ADP
iajs-3294	435	7	statistical	statistical	ADJ
iajs-3294	435	8	analysis	analysis	NOUN
iajs-3294	435	9	,	,	PUNCT
iajs-3294	435	10	the	the	DET
iajs-3294	435	11	australian	australian	ADJ
iajs-3294	435	12	national	national	PROPN
iajs-3294	435	13	university	university	PROPN
iajs-3294	435	14	acton	acton	PROPN
iajs-3294	435	15	act	act	PROPN
iajs-3294	435	16	2601	2601	NUM
iajs-3294	435	17	,	,	PUNCT
iajs-3294	435	18	australia	australia	PROPN
iajs-3294	435	19	2015	2015	NUM
iajs-3294	435	20	.	.	PUNCT
iajs-3294	436	1	http://doi.org/10.22459/bmsa.10.2015	http://doi.org/10.22459/bmsa.10.2015	PROPN
iajs-3294	436	2	.	.	PUNCT
iajs-3294	437	1	18	18	NUM
iajs-3294	437	2	.	.	X
iajs-3294	437	3	bayes	bayes	PROPN
iajs-3294	437	4	,	,	PUNCT
iajs-3294	437	5	r.	r.	PROPN
iajs-3294	437	6	t.	t.	PROPN
iajs-3294	437	7	mathematical	mathematical	PROPN
iajs-3294	437	8	statistics	statistic	NOUN
iajs-3294	437	9	with	with	ADP
iajs-3294	437	10	applications	application	NOUN
iajs-3294	437	11	in	in	ADP
iajs-3294	437	12	r.	r.	PROPN
iajs-3294	437	13	chapter	chapter	PROPN
iajs-3294	437	14	10	10	NUM
iajs-3294	437	15	,	,	PUNCT
iajs-3294	437	16	bayesian	bayesian	NOUN
iajs-3294	437	17	estimation	estimation	NOUN
iajs-3294	437	18	and	and	CCONJ
iajs-3294	437	19	inference	inference	NOUN
iajs-3294	437	20	,	,	PUNCT
iajs-3294	437	21	copyright	copyright	NOUN
iajs-3294	437	22	©	©	PROPN
iajs-3294	437	23	elsevier	elsevier	PROPN
iajs-3294	437	24	inc	inc	PROPN
iajs-3294	437	25	.	.	PROPN
iajs-3294	438	1	all	all	DET
iajs-3294	438	2	rights	right	NOUN
iajs-3294	438	3	reserved	reserve	VERB
iajs-3294	438	4	2021	2021	NUM
iajs-3294	438	5	.	.	PUNCT
iajs-3294	439	1	19	19	NUM
iajs-3294	439	2	.	.	X
iajs-3294	439	3	ramos	ramos	PROPN
iajs-3294	439	4	,	,	PUNCT
iajs-3294	439	5	p.	p.	PROPN
iajs-3294	439	6	l.	l.	PROPN
iajs-3294	439	7	;	;	PUNCT
iajs-3294	439	8	mota	mota	NOUN
iajs-3294	439	9	,	,	PUNCT
iajs-3294	439	10	a.l	a.l	PROPN
iajs-3294	439	11	.	.	PROPN
iajs-3294	439	12	;	;	PUNCT
iajs-3294	439	13	ferreira	ferreira	PROPN
iajs-3294	439	14	,	,	PUNCT
iajs-3294	439	15	p.h	p.h	PROPN
iajs-3294	439	16	.	.	PROPN
iajs-3294	439	17	;	;	PUNCT
iajs-3294	439	18	ramos	ramos	PROPN
iajs-3294	439	19	,	,	PUNCT
iajs-3294	439	20	e.	e.	PROPN
iajs-3294	439	21	;	;	PUNCT
iajs-3294	439	22	tomazella	tomazella	PROPN
iajs-3294	439	23	,	,	PUNCT
iajs-3294	439	24	v.	v.	PROPN
iajs-3294	439	25	l.	l.	PROPN
iajs-3294	439	26	d.	d.	PROPN
iajs-3294	439	27	;	;	PUNCT
iajs-3294	440	1	louzada	louzada	PROPN
iajs-3294	440	2	f.	f.	PROPN
iajs-3294	440	3	bayesian	bayesian	PROPN
iajs-3294	440	4	analysis	analysis	NOUN
iajs-3294	440	5	of	of	ADP
iajs-3294	440	6	the	the	DET
iajs-3294	440	7	inverse	inverse	NOUN
iajs-3294	440	8	generalized	generalize	VERB
iajs-3294	440	9	gamma	gamma	NOUN
iajs-3294	440	10	distribution	distribution	NOUN
iajs-3294	440	11	using	use	VERB
iajs-3294	440	12	objective	objective	ADJ
iajs-3294	440	13	priors	prior	NOUN
iajs-3294	440	14	,	,	PUNCT
iajs-3294	440	15	journal	journal	NOUN
iajs-3294	440	16	of	of	ADP
iajs-3294	440	17	statistical	statistical	ADJ
iajs-3294	440	18	computation	computation	NOUN
iajs-3294	440	19	and	and	CCONJ
iajs-3294	440	20	simulation	simulation	NOUN
iajs-3294	440	21	2020	2020	NUM
iajs-3294	440	22	.	.	PUNCT
iajs-3294	441	1	https://doi.org/10.1080/	https://doi.org/10.1080/	NOUN
iajs-3294	441	2	00949655.2020.1830991	00949655.2020.1830991	NUM
iajs-3294	441	3	.	.	PROPN
iajs-3294	442	1	20	20	NUM
iajs-3294	442	2	.	.	PUNCT
iajs-3294	442	3	lee	lee	PROPN
iajs-3294	442	4	,	,	PUNCT
iajs-3294	442	5	p.	p.	NOUN
iajs-3294	442	6	m.	m.	NOUN
iajs-3294	442	7	;	;	PUNCT
iajs-3294	442	8	bayesian	bayesian	NOUN
iajs-3294	442	9	statistics	statistic	NOUN
iajs-3294	442	10	:	:	PUNCT
iajs-3294	442	11	an	an	DET
iajs-3294	442	12	introduction	introduction	NOUN
iajs-3294	442	13	,	,	PUNCT
iajs-3294	442	14	4th	4th	ADJ
iajs-3294	442	15	.	.	PUNCT
iajs-3294	443	1	wiley	wiley	PROPN
iajs-3294	443	2	,	,	PUNCT
iajs-3294	443	3	new	new	PROPN
iajs-3294	443	4	york	york	PROPN
iajs-3294	443	5	2012	2012	NUM
iajs-3294	443	6	.	.	PUNCT
iajs-3294	444	1	21	21	NUM
iajs-3294	444	2	.	.	X
iajs-3294	445	1	ahmad	ahmad	PROPN
iajs-3294	445	2	,	,	PUNCT
iajs-3294	445	3	s.p	s.p	PROPN
iajs-3294	445	4	.	.	PUNCT
iajs-3294	445	5	;	;	PUNCT
iajs-3294	445	6	sultan	sultan	PROPN
iajs-3294	445	7	,	,	PUNCT
iajs-3294	445	8	r.	r.	PROPN
iajs-3294	445	9	;	;	PUNCT
iajs-3294	445	10	sultan	sultan	PROPN
iajs-3294	445	11	,	,	PUNCT
iajs-3294	445	12	h.	h.	PROPN
iajs-3294	445	13	bayesian	bayesian	NOUN
iajs-3294	445	14	analysis	analysis	NOUN
iajs-3294	445	15	of	of	ADP
iajs-3294	445	16	normal	normal	ADJ
iajs-3294	445	17	distribution	distribution	NOUN
iajs-3294	445	18	-	-	PUNCT
iajs-3294	445	19	a	a	DET
iajs-3294	445	20	simulation	simulation	NOUN
iajs-3294	445	21	study	study	NOUN
iajs-3294	445	22	,	,	PUNCT
iajs-3294	445	23	international	international	ADJ
iajs-3294	445	24	journal	journal	NOUN
iajs-3294	445	25	of	of	ADP
iajs-3294	445	26	advanced	advanced	ADJ
iajs-3294	445	27	scientific	scientific	ADJ
iajs-3294	445	28	and	and	CCONJ
iajs-3294	445	29	technical	technical	ADJ
iajs-3294	445	30	research	research	NOUN
iajs-3294	445	31	2014	2014	NUM
iajs-3294	445	32	,	,	PUNCT
iajs-3294	445	33	1(4	1(4	NUM
iajs-3294	445	34	)	)	PUNCT
iajs-3294	445	35	.	.	PUNCT
iajs-3294	446	1	22	22	NUM
iajs-3294	446	2	.	.	PUNCT
iajs-3294	446	3	achcar	achcar	NOUN
iajs-3294	446	4	,	,	PUNCT
iajs-3294	446	5	ja	ja	PROPN
iajs-3294	446	6	.	.	PUNCT
iajs-3294	446	7	;	;	PUNCT
iajs-3294	446	8	coelho	coelho	PROPN
iajs-3294	446	9	-	-	PUNCT
iajs-3294	446	10	barros	barros	PROPN
iajs-3294	446	11	,	,	PUNCT
iajs-3294	446	12	ea	ea	PROPN
iajs-3294	446	13	.	.	PROPN
iajs-3294	446	14	;	;	PUNCT
iajs-3294	446	15	cuevas	cuevas	PROPN
iajs-3294	446	16	,	,	PUNCT
iajs-3294	446	17	jrt	jrt	PROPN
iajs-3294	446	18	;	;	PUNCT
iajs-3294	446	19	mazucheli	mazucheli	PROPN
iajs-3294	446	20	,	,	PUNCT
iajs-3294	446	21	j.	j.	PROPN
iajs-3294	446	22	use	use	NOUN
iajs-3294	446	23	of	of	ADP
iajs-3294	446	24	lèvy	lèvy	ADJ
iajs-3294	446	25	distribution	distribution	NOUN
iajs-3294	446	26	to	to	PART
iajs-3294	446	27	analyze	analyze	VERB
iajs-3294	446	28	longitudinal	longitudinal	ADJ
iajs-3294	446	29	data	datum	NOUN
iajs-3294	446	30	with	with	ADP
iajs-3294	446	31	asymmetric	asymmetric	ADJ
iajs-3294	446	32	distribution	distribution	NOUN
iajs-3294	446	33	and	and	CCONJ
iajs-3294	446	34	presence	presence	NOUN
iajs-3294	446	35	of	of	ADP
iajs-3294	446	36	left	left	ADJ
iajs-3294	446	37	censored	censored	ADJ
iajs-3294	446	38	data	datum	NOUN
iajs-3294	446	39	.	.	PUNCT
iajs-3294	447	1	communications	communication	NOUN
iajs-3294	447	2	for	for	ADP
iajs-3294	447	3	statistical	statistical	ADJ
iajs-3294	447	4	applications	application	NOUN
iajs-3294	447	5	and	and	CCONJ
iajs-3294	447	6	methods	method	NOUN
iajs-3294	447	7	2018	2018	NUM
iajs-3294	447	8	,	,	PUNCT
iajs-3294	447	9	25(1	25(1	NUM
iajs-3294	447	10	)	)	PUNCT
iajs-3294	447	11	,	,	PUNCT
iajs-3294	447	12	43–60.doi	43–60.doi	NUM
iajs-3294	447	13	:	:	PUNCT
iajs-3294	447	14	https://doi.org/10.29220/csam.2018.25.1.043	https://doi.org/10.29220/csam.2018.25.1.043	NOUN
iajs-3294	447	15	.	.	PROPN
iajs-3294	447	16	23	23	NUM
iajs-3294	447	17	.	.	X
iajs-3294	448	1	mobolaji	mobolaji	PROPN
iajs-3294	448	2	,	,	PUNCT
iajs-3294	448	3	a.	a.	NOUN
iajs-3294	448	4	t.	t.	PROPN
iajs-3294	448	5	;	;	PUNCT
iajs-3294	448	6	dibal	dibal	PROPN
iajs-3294	448	7	,	,	PUNCT
iajs-3294	448	8	n.	n.	PROPN
iajs-3294	448	9	p.	p.	PROPN
iajs-3294	448	10	;	;	PUNCT
iajs-3294	448	11	musa	musa	PROPN
iajs-3294	448	12	,	,	PUNCT
iajs-3294	448	13	y.	y.	PROPN
iajs-3294	448	14	a.	a.	PROPN
iajs-3294	449	1	an	an	DET
iajs-3294	449	2	estimation	estimation	NOUN
iajs-3294	449	3	of	of	ADP
iajs-3294	449	4	unknown	unknown	ADJ
iajs-3294	449	5	variance	variance	NOUN
iajs-3294	449	6	of	of	ADP
iajs-3294	449	7	a	a	DET
iajs-3294	449	8	normal	normal	ADJ
iajs-3294	449	9	distribution	distribution	NOUN
iajs-3294	449	10	:	:	PUNCT
iajs-3294	449	11	application	application	NOUN
iajs-3294	449	12	to	to	ADP
iajs-3294	449	13	borno	borno	PROPN
iajs-3294	449	14	state	state	NOUN
iajs-3294	449	15	rainfall	rainfall	PROPN
iajs-3294	449	16	data	data	PROPN
iajs-3294	449	17	,	,	PUNCT
iajs-3294	449	18	international	international	ADJ
iajs-3294	449	19	journal	journal	NOUN
iajs-3294	449	20	of	of	ADP
iajs-3294	449	21	data	data	PROPN
iajs-3294	449	22	science	science	NOUN
iajs-3294	449	23	and	and	CCONJ
iajs-3294	449	24	analysis	analysis	NOUN
iajs-3294	449	25	2019,5(1	2019,5(1	NUM
iajs-3294	449	26	)	)	PUNCT
iajs-3294	449	27	,	,	PUNCT
iajs-3294	449	28	1-5.https://doi.org/10.11648/j.ijdsa.20190501.11	1-5.https://doi.org/10.11648/j.ijdsa.20190501.11	PROPN
iajs-3294	449	29	.	.	PROPN
iajs-3294	449	30	24	24	NUM
iajs-3294	449	31	.	.	PUNCT
iajs-3294	449	32	dorniani	dorniani	PROPN
iajs-3294	449	33	,	,	PUNCT
iajs-3294	449	34	s.	s.	PROPN
iajs-3294	449	35	;	;	PUNCT
iajs-3294	449	36	mohammadpour	mohammadpour	NOUN
iajs-3294	449	37	,	,	PUNCT
iajs-3294	449	38	a.	a.	NOUN
iajs-3294	449	39	;	;	PUNCT
iajs-3294	449	40	nematollahi	nematollahi	NOUN
iajs-3294	449	41	,	,	PUNCT
iajs-3294	449	42	n.	n.	NOUN
iajs-3294	449	43	estimation	estimation	NOUN
iajs-3294	449	44	of	of	ADP
iajs-3294	449	45	the	the	DET
iajs-3294	449	46	parameter	parameter	NOUN
iajs-3294	449	47	of	of	ADP
iajs-3294	449	48	levy	levy	NOUN
iajs-3294	449	49	distribution	distribution	NOUN
iajs-3294	449	50	using	use	VERB
iajs-3294	449	51	ranked	rank	VERB
iajs-3294	449	52	set	set	ADJ
iajs-3294	449	53	sampling	sampling	NOUN
iajs-3294	449	54	,	,	PUNCT
iajs-3294	449	55	aut	aut	PROPN
iajs-3294	449	56	j.	j.	PROPN
iajs-3294	449	57	math	math	PROPN
iajs-3294	449	58	.	.	PUNCT
iajs-3294	450	1	com	com	NOUN
iajs-3294	450	2	.	.	PUNCT
iajs-3294	450	3	2021,2(1	2021,2(1	NUM
iajs-3294	450	4	)	)	PUNCT
iajs-3294	450	5	,	,	PUNCT
iajs-3294	450	6	53	53	NUM
iajs-3294	450	7	-	-	SYM
iajs-3294	450	8	60	60	NUM
iajs-3294	450	9	.	.	PUNCT
iajs-3294	451	1	https://doi.org/10.22060/ajmc.2020.18499.1037	https://doi.org/10.22060/ajmc.2020.18499.1037	PROPN
iajs-3294	451	2	.	.	PUNCT
iajs-3294	452	1	25	25	NUM
iajs-3294	452	2	.	.	PUNCT
iajs-3294	452	3	calabria	calabria	PROPN
iajs-3294	452	4	,	,	PUNCT
iajs-3294	452	5	r.	r.	PROPN
iajs-3294	452	6	;	;	PUNCT
iajs-3294	452	7	pulcini	pulcini	PROPN
iajs-3294	452	8	,	,	PUNCT
iajs-3294	452	9	g.	g.	PROPN
iajs-3294	452	10	an	an	DET
iajs-3294	452	11	engineering	engineering	NOUN
iajs-3294	452	12	approach	approach	NOUN
iajs-3294	452	13	to	to	ADP
iajs-3294	452	14	bayes	bayes	PROPN
iajs-3294	452	15	estimation	estimation	NOUN
iajs-3294	452	16	for	for	ADP
iajs-3294	452	17	the	the	DET
iajs-3294	452	18	weibull	weibull	PROPN
iajs-3294	452	19	distribution	distribution	NOUN
iajs-3294	452	20	.	.	PUNCT
iajs-3294	453	1	micro	micro	ADJ
iajs-3294	453	2	-	-	ADJ
iajs-3294	453	3	electronics	electronic	NOUN
iajs-3294	453	4	reliability	reliability	NOUN
iajs-3294	453	5	1994,34(5	1994,34(5	NOUN
iajs-3294	453	6	)	)	PUNCT
iajs-3294	453	7	,	,	PUNCT
iajs-3294	454	1	789–802	789–802	NUM
iajs-3294	454	2	.	.	PUNCT
iajs-3294	455	1	https://doi.org/10.1016/0026-2714(94)90004-3	https://doi.org/10.1016/0026-2714(94)90004-3	PROPN
iajs-3294	455	2	.	.	PROPN
iajs-3294	456	1	26	26	NUM
iajs-3294	456	2	.	.	PUNCT
iajs-3294	457	1	kumar	kumar	PROPN
iajs-3294	457	2	,	,	PUNCT
iajs-3294	457	3	d.	d.	PROPN
iajs-3294	457	4	;	;	PUNCT
iajs-3294	457	5	kumar	kumar	PROPN
iajs-3294	457	6	,	,	PUNCT
iajs-3294	457	7	p.	p.	PROPN
iajs-3294	457	8	;	;	PUNCT
iajs-3294	457	9	singh	singh	PROPN
iajs-3294	457	10	,	,	PUNCT
iajs-3294	457	11	s.	s.	PROPN
iajs-3294	457	12	k.	k.	PROPN
iajs-3294	457	13	;	;	PUNCT
iajs-3294	457	14	singh	singh	PROPN
iajs-3294	457	15	,	,	PUNCT
iajs-3294	457	16	u.	u.	VERB
iajs-3294	457	17	a	a	DET
iajs-3294	457	18	new	new	ADJ
iajs-3294	457	19	asymmetric	asymmetric	ADJ
iajs-3294	457	20	loss	loss	NOUN
iajs-3294	457	21	function	function	NOUN
iajs-3294	457	22	:	:	PUNCT
iajs-3294	457	23	estimation	estimation	NOUN
iajs-3294	457	24	of	of	ADP
iajs-3294	457	25	parameter	parameter	NOUN
iajs-3294	457	26	of	of	ADP
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iajs-3294	457	28	distribution	distribution	NOUN
iajs-3294	457	29	,	,	PUNCT
iajs-3294	457	30	journal	journal	NOUN
iajs-3294	457	31	of	of	ADP
iajs-3294	457	32	statistics	statistic	NOUN
iajs-3294	457	33	applications	application	NOUN
iajs-3294	457	34	and	and	CCONJ
iajs-3294	457	35	probability	probability	NOUN
iajs-3294	457	36	letters	letter	NOUN
iajs-3294	457	37	2019,6(1	2019,6(1	NUM
iajs-3294	457	38	)	)	PUNCT
iajs-3294	457	39	,	,	PUNCT
iajs-3294	457	40	37	37	NUM
iajs-3294	457	41	-	-	SYM
iajs-3294	457	42	50	50	NUM
iajs-3294	457	43	.	.	PUNCT
iajs-3294	458	1	https://doi.org/10.18576/jsapl/060105	https://doi.org/10.18576/jsapl/060105	PROPN
iajs-3294	458	2	.	.	PUNCT
iajs-3294	459	1	27	27	NUM
iajs-3294	459	2	.	.	PUNCT
iajs-3294	460	1	kumari	kumari	PROPN
iajs-3294	460	2	,	,	PUNCT
iajs-3294	460	3	r.	r.	PROPN
iajs-3294	460	4	;	;	PUNCT
iajs-3294	460	5	tripathi	tripathi	PROPN
iajs-3294	460	6	,	,	PUNCT
iajs-3294	460	7	y.m	y.m	PROPN
iajs-3294	460	8	.	.	PROPN
iajs-3294	460	9	;	;	PUNCT
iajs-3294	460	10	sinha	sinha	PROPN
iajs-3294	460	11	,	,	PUNCT
iajs-3294	460	12	r.k	r.k	PROPN
iajs-3294	460	13	.	.	PROPN
iajs-3294	460	14	;	;	PUNCT
iajs-3294	460	15	wang	wang	PROPN
iajs-3294	460	16	,	,	PUNCT
iajs-3294	460	17	l.	l.	PROPN
iajs-3294	460	18	comparison	comparison	NOUN
iajs-3294	460	19	of	of	ADP
iajs-3294	460	20	estimation	estimation	NOUN
iajs-3294	460	21	methods	method	NOUN
iajs-3294	460	22	for	for	ADP
iajs-3294	460	23	reliability	reliability	NOUN
iajs-3294	460	24	function	function	NOUN
iajs-3294	460	25	for	for	ADP
iajs-3294	460	26	family	family	NOUN
iajs-3294	460	27	of	of	ADP
iajs-3294	460	28	inverse	inverse	NOUN
iajs-3294	460	29	exponentiated	exponentiate	VERB
iajs-3294	460	30	distributions	distribution	NOUN
iajs-3294	460	31	under	under	ADP
iajs-3294	460	32	new	new	ADJ
iajs-3294	460	33	loss	loss	NOUN
iajs-3294	460	34	function	function	NOUN
iajs-3294	460	35	,	,	PUNCT
iajs-3294	460	36	axioms	axiom	VERB
iajs-3294	460	37	2023,12(12	2023,12(12	NUM
iajs-3294	460	38	)	)	PUNCT
iajs-3294	460	39	,	,	PUNCT
iajs-3294	460	40	1096	1096	NUM
iajs-3294	460	41	.	.	PUNCT
iajs-3294	461	1	https://doi.org/10.3390/axioms12121096	https://doi.org/10.3390/axioms12121096	PROPN
iajs-3294	461	2	.	.	PUNCT
iajs-3294	462	1	28	28	NUM
iajs-3294	462	2	.	.	X
iajs-3294	463	1	adegoke	adegoke	PROPN
iajs-3294	463	2	,	,	PUNCT
iajs-3294	463	3	t.	t.	NOUN
iajs-3294	463	4	m.	m.	NOUN
iajs-3294	463	5	;	;	PUNCT
iajs-3294	463	6	obisesan	obisesan	ADJ
iajs-3294	463	7	,	,	PUNCT
iajs-3294	463	8	k.o	k.o	PROPN
iajs-3294	463	9	.	.	PROPN
iajs-3294	463	10	;	;	PUNCT
iajs-3294	463	11	oladoja	oladoja	PROPN
iajs-3294	463	12	,	,	PUNCT
iajs-3294	463	13	o.	o.	NOUN
iajs-3294	463	14	m.	m.	NOUN
iajs-3294	463	15	;	;	PUNCT
iajs-3294	463	16	adegoke	adegoke	PROPN
iajs-3294	463	17	,	,	PUNCT
iajs-3294	463	18	g.k	g.k	PROPN
iajs-3294	463	19	.	.	PROPN
iajs-3294	463	20	;	;	PUNCT
iajs-3294	464	1	bayesian	bayesian	NOUN
iajs-3294	464	2	and	and	CCONJ
iajs-3294	464	3	classical	classical	ADJ
iajs-3294	464	4	estimations	estimation	NOUN
iajs-3294	464	5	of	of	ADP
iajs-3294	464	6	transmuted	transmuted	ADJ
iajs-3294	464	7	inverse	inverse	ADJ
iajs-3294	464	8	gompertz	gompertz	NOUN
iajs-3294	464	9	distribution	distribution	NOUN
iajs-3294	464	10	,	,	PUNCT
iajs-3294	464	11	rt	rt	PROPN
iajs-3294	464	12	and	and	CCONJ
iajs-3294	464	13	a	a	DET
iajs-3294	464	14	2023,18(2),(73	2023,18(2),(73	NUM
iajs-3294	464	15	)	)	PUNCT
iajs-3294	464	16	,	,	PUNCT
iajs-3294	464	17	207	207	NUM
iajs-3294	464	18	-	-	SYM
iajs-3294	464	19	222	222	NUM
iajs-3294	464	20	.	.	PUNCT
iajs-3294	464	21	https://doi.org/10.24412/1932-2321-2023-273-207-222	https://doi.org/10.24412/1932-2321-2023-273-207-222	PROPN
iajs-3294	464	22	.	.	PUNCT
iajs-3294	465	1	29	29	NUM
iajs-3294	465	2	.	.	PUNCT
iajs-3294	465	3	ali	ali	PROPN
iajs-3294	465	4	s.	s.	PROPN
iajs-3294	465	5	;	;	PUNCT
iajs-3294	465	6	aslam	aslam	PROPN
iajs-3294	465	7	m.	m.	PROPN
iajs-3294	465	8	;	;	PUNCT
iajs-3294	465	9	ali	ali	PROPN
iajs-3294	465	10	kazmi	kazmi	PROPN
iajs-3294	465	11	s.	s.	PROPN
iajs-3294	465	12	m.	m.	VERB
iajs-3294	465	13	a	a	DET
iajs-3294	465	14	study	study	NOUN
iajs-3294	465	15	of	of	ADP
iajs-3294	465	16	the	the	DET
iajs-3294	465	17	effect	effect	NOUN
iajs-3294	465	18	of	of	ADP
iajs-3294	465	19	the	the	DET
iajs-3294	465	20	loss	loss	NOUN
iajs-3294	465	21	function	function	NOUN
iajs-3294	465	22	on	on	ADP
iajs-3294	465	23	bayes	bayes	PROPN
iajs-3294	465	24	estimate	estimate	VERB
iajs-3294	465	25	,	,	PUNCT
iajs-3294	465	26	posterior	posterior	ADJ
iajs-3294	465	27	risk	risk	NOUN
iajs-3294	465	28	and	and	CCONJ
iajs-3294	465	29	hazard	hazard	NOUN
iajs-3294	465	30	function	function	NOUN
iajs-3294	465	31	for	for	ADP
iajs-3294	465	32	lindley	lindley	NOUN
iajs-3294	465	33	distribution	distribution	NOUN
iajs-3294	465	34	.	.	PUNCT
iajs-3294	466	1	applied	apply	VERB
iajs-3294	466	2	mathematical	mathematical	ADJ
iajs-3294	466	3	modelling	modelling	NOUN
iajs-3294	466	4	,	,	PUNCT
iajs-3294	466	5	2013,37(8	2013,37(8	PROPN
iajs-3294	466	6	)	)	PUNCT
iajs-3294	466	7	,	,	PUNCT
iajs-3294	466	8	6068–6078	6068–6078	NUM
iajs-3294	466	9	.	.	PUNCT
iajs-3294	467	1	https://doi.org/10.1016/j.apm.2012.12.008	https://doi.org/10.1016/j.apm.2012.12.008	NOUN
iajs-3294	467	2	.	.	PUNCT
iajs-3294	468	1	30	30	NUM
iajs-3294	468	2	.	.	PUNCT
iajs-3294	468	3	goyal	goyal	PROPN
iajs-3294	468	4	,	,	PUNCT
iajs-3294	468	5	t.	t.	PROPN
iajs-3294	468	6	;	;	PUNCT
iajs-3294	468	7	rai	rai	PROPN
iajs-3294	468	8	,	,	PUNCT
iajs-3294	468	9	p.k	p.k	PROPN
iajs-3294	468	10	.	.	PROPN
iajs-3294	468	11	;	;	PUNCT
iajs-3294	468	12	maurya	maurya	PROPN
iajs-3294	468	13	,	,	PUNCT
iajs-3294	468	14	s.k	s.k	PROPN
iajs-3294	468	15	.	.	PUNCT
iajs-3294	468	16	;	;	PUNCT
iajs-3294	468	17	bayesian	bayesian	NOUN
iajs-3294	468	18	estimation	estimation	NOUN
iajs-3294	468	19	for	for	ADP
iajs-3294	468	20	exponentiated	exponentiated	ADJ
iajs-3294	468	21	inverted	invert	VERB
iajs-3294	468	22	weibull	weibull	NOUN
iajs-3294	468	23	distribution	distribution	NOUN
iajs-3294	468	24	under	under	ADP
iajs-3294	468	25	different	different	ADJ
iajs-3294	468	26	loss	loss	NOUN
iajs-3294	468	27	functions	function	NOUN
iajs-3294	468	28	,	,	PUNCT
iajs-3294	468	29	international	international	ADJ
iajs-3294	468	30	journal	journal	NOUN
iajs-3294	468	31	of	of	ADP
iajs-3294	468	32	pure	pure	ADJ
iajs-3294	468	33	and	and	CCONJ
iajs-3294	468	34	applied	apply	VERB
iajs-3294	468	35	researches	research	NOUN
iajs-3294	468	36	2019	2019	NUM
iajs-3294	468	37	,	,	PUNCT
iajs-3294	468	38	2(1	2(1	NUM
iajs-3294	468	39	)	)	PUNCT
iajs-3294	468	40	,	,	PUNCT
iajs-3294	468	41	1	1	NUM
iajs-3294	468	42	-	-	SYM
iajs-3294	468	43	13	13	NUM
iajs-3294	468	44	.	.	PUNCT
iajs-3294	469	1	http://dx.doi.org/10.1201/b18312	http://dx.doi.org/10.1201/b18312	PROPN
iajs-3294	469	2	http://doi.org/10.22459/bmsa.10.2015	http://doi.org/10.22459/bmsa.10.2015	NOUN
iajs-3294	470	1	http://dx.doi.org/10.29220/csam.2018.25.1.043	http://dx.doi.org/10.29220/csam.2018.25.1.043	PRON
iajs-3294	470	2	http://dx.doi.org/10.11648/j.ijdsa.20190501.11	http://dx.doi.org/10.11648/j.ijdsa.20190501.11	ADJ
iajs-3294	470	3	https://doi.org/10.22060/ajmc.2020.18499.1037	https://doi.org/10.22060/ajmc.2020.18499.1037	PROPN
iajs-3294	470	4	http://dx.doi.org/10.1016/0026-2714(94)90004-3	http://dx.doi.org/10.1016/0026-2714(94)90004-3	NUM
iajs-3294	470	5	http://dx.doi.org/10.18576/jsapl/060105	http://dx.doi.org/10.18576/jsapl/060105	NOUN
iajs-3294	470	6	http://dx.doi.org/10.3390/axioms12121096	http://dx.doi.org/10.3390/axioms12121096	PROPN
iajs-3294	470	7	http://dx.doi.org/10.24412/1932-2321-2023-273-207-222	http://dx.doi.org/10.24412/1932-2321-2023-273-207-222	NOUN
iajs-3294	470	8	http://dx.doi.org/10.1016/j.apm.2012.12.008	http://dx.doi.org/10.1016/j.apm.2012.12.008	NOUN