id	sid	tid	token	lemma	pos
ejpam-4351	1	1	european	european	PROPN
ejpam-4351	1	2	journal	journal	PROPN
ejpam-4351	1	3	of	of	ADP
ejpam-4351	1	4	pure	pure	ADJ
ejpam-4351	1	5	and	and	CCONJ
ejpam-4351	1	6	applied	apply	VERB
ejpam-4351	1	7	mathematics	mathematic	NOUN
ejpam-4351	1	8	vol	vol	NOUN
ejpam-4351	1	9	.	.	PROPN
ejpam-4351	2	1	15	15	NUM
ejpam-4351	2	2	,	,	PUNCT
ejpam-4351	2	3	no	no	INTJ
ejpam-4351	2	4	.	.	NOUN
ejpam-4351	2	5	2	2	NUM
ejpam-4351	2	6	,	,	PUNCT
ejpam-4351	2	7	2022	2022	NUM
ejpam-4351	2	8	,	,	PUNCT
ejpam-4351	2	9	753	753	NUM
ejpam-4351	2	10	-	-	SYM
ejpam-4351	2	11	773	773	NUM
ejpam-4351	2	12	issn	issn	PROPN
ejpam-4351	2	13	1307	1307	NUM
ejpam-4351	2	14	-	-	SYM
ejpam-4351	2	15	5543	5543	NUM
ejpam-4351	2	16	–	–	PUNCT
ejpam-4351	2	17	ejpam.com	ejpam.com	X
ejpam-4351	2	18	published	publish	VERB
ejpam-4351	2	19	by	by	ADP
ejpam-4351	2	20	new	new	PROPN
ejpam-4351	2	21	york	york	PROPN
ejpam-4351	2	22	business	business	PROPN
ejpam-4351	2	23	global	global	ADJ
ejpam-4351	2	24	e	e	NOUN
ejpam-4351	2	25	-	-	NOUN
ejpam-4351	2	26	bayesian	bayesian	ADJ
ejpam-4351	2	27	estimation	estimation	NOUN
ejpam-4351	2	28	under	under	ADP
ejpam-4351	2	29	loss	loss	NOUN
ejpam-4351	2	30	functions	function	NOUN
ejpam-4351	2	31	in	in	ADP
ejpam-4351	2	32	competing	compete	VERB
ejpam-4351	2	33	risks	risk	NOUN
ejpam-4351	2	34	didier	didier	NOUN
ejpam-4351	2	35	alain	alain	PROPN
ejpam-4351	2	36	njamen	njamen	PROPN
ejpam-4351	2	37	njomen1,∗	njomen1,∗	PROPN
ejpam-4351	2	38	,	,	PUNCT
ejpam-4351	2	39	thiery	thiery	VERB
ejpam-4351	2	40	donfack1	donfack1	PROPN
ejpam-4351	2	41	,	,	PUNCT
ejpam-4351	2	42	joseph	joseph	PROPN
ejpam-4351	2	43	ngatchou	ngatchou	PROPN
ejpam-4351	2	44	-	-	PUNCT
ejpam-4351	2	45	wandji2	wandji2	PROPN
ejpam-4351	2	46	,	,	PUNCT
ejpam-4351	2	47	georges	george	NOUN
ejpam-4351	2	48	nguefack	nguefack	NOUN
ejpam-4351	2	49	-	-	PUNCT
ejpam-4351	2	50	tsague3	tsague3	NOUN
ejpam-4351	2	51	1	1	NUM
ejpam-4351	2	52	department	department	NOUN
ejpam-4351	2	53	of	of	ADP
ejpam-4351	2	54	mathematics	mathematic	NOUN
ejpam-4351	2	55	and	and	CCONJ
ejpam-4351	2	56	computer	computer	NOUN
ejpam-4351	2	57	’s	’s	PART
ejpam-4351	2	58	science	science	NOUN
ejpam-4351	2	59	,	,	PUNCT
ejpam-4351	2	60	faculty	faculty	NOUN
ejpam-4351	2	61	of	of	ADP
ejpam-4351	2	62	science	science	NOUN
ejpam-4351	2	63	,	,	PUNCT
ejpam-4351	2	64	university	university	NOUN
ejpam-4351	2	65	of	of	ADP
ejpam-4351	2	66	maroua	maroua	ADJ
ejpam-4351	2	67	,	,	PUNCT
ejpam-4351	2	68	maroua	maroua	ADJ
ejpam-4351	2	69	,	,	PUNCT
ejpam-4351	2	70	cameroon	cameroon	PROPN
ejpam-4351	2	71	2	2	NUM
ejpam-4351	2	72	ehesp	ehesp	PROPN
ejpam-4351	2	73	sorbonne	sorbonne	PROPN
ejpam-4351	2	74	paris	paris	PROPN
ejpam-4351	2	75	city	city	PROPN
ejpam-4351	2	76	&	&	CCONJ
ejpam-4351	2	77	institut	institut	PROPN
ejpam-4351	3	1	elie	elie	PROPN
ejpam-4351	3	2	cartan	cartan	PROPN
ejpam-4351	3	3	de	de	PROPN
ejpam-4351	3	4	nancy	nancy	PROPN
ejpam-4351	3	5	,	,	PUNCT
ejpam-4351	3	6	université	université	NOUN
ejpam-4351	3	7	de	de	X
ejpam-4351	3	8	lorraine	lorraine	PROPN
ejpam-4351	3	9	,	,	PUNCT
ejpam-4351	3	10	france	france	PROPN
ejpam-4351	3	11	3	3	NUM
ejpam-4351	3	12	department	department	NOUN
ejpam-4351	3	13	of	of	ADP
ejpam-4351	3	14	public	public	ADJ
ejpam-4351	3	15	health	health	NOUN
ejpam-4351	3	16	,	,	PUNCT
ejpam-4351	3	17	faculty	faculty	NOUN
ejpam-4351	3	18	of	of	ADP
ejpam-4351	3	19	medicine	medicine	NOUN
ejpam-4351	3	20	and	and	CCONJ
ejpam-4351	3	21	biomedical	biomedical	ADJ
ejpam-4351	3	22	sciences	science	NOUN
ejpam-4351	3	23	,	,	PUNCT
ejpam-4351	3	24	university	university	NOUN
ejpam-4351	3	25	of	of	ADP
ejpam-4351	3	26	yaounde	yaounde	PROPN
ejpam-4351	3	27	i	i	PROPN
ejpam-4351	3	28	cameroon	cameroon	PROPN
ejpam-4351	3	29	abstract	abstract	NOUN
ejpam-4351	3	30	.	.	PUNCT
ejpam-4351	4	1	using	use	VERB
ejpam-4351	4	2	gamma	gamma	NOUN
ejpam-4351	4	3	prior	prior	ADJ
ejpam-4351	4	4	distribution	distribution	NOUN
ejpam-4351	4	5	of	of	ADP
ejpam-4351	4	6	which	which	DET
ejpam-4351	4	7	shape	shape	NOUN
ejpam-4351	4	8	hyperparameter	hyperparameter	NOUN
ejpam-4351	4	9	has	have	VERB
ejpam-4351	4	10	beta	beta	ADJ
ejpam-4351	4	11	distribution	distribution	NOUN
ejpam-4351	4	12	and	and	CCONJ
ejpam-4351	4	13	rate	rate	NOUN
ejpam-4351	4	14	parameter	parameter	NOUN
ejpam-4351	4	15	has	have	VERB
ejpam-4351	4	16	three	three	NUM
ejpam-4351	4	17	different	different	ADJ
ejpam-4351	4	18	distributions	distribution	NOUN
ejpam-4351	4	19	over	over	ADP
ejpam-4351	4	20	a	a	DET
ejpam-4351	4	21	finite	finite	ADJ
ejpam-4351	4	22	interval	interval	NOUN
ejpam-4351	4	23	,	,	PUNCT
ejpam-4351	4	24	we	we	PRON
ejpam-4351	4	25	studied	study	VERB
ejpam-4351	4	26	the	the	DET
ejpam-4351	4	27	e	e	NOUN
ejpam-4351	4	28	-	-	NOUN
ejpam-4351	4	29	bayesian	bayesian	ADJ
ejpam-4351	4	30	estimation	estimation	NOUN
ejpam-4351	4	31	of	of	ADP
ejpam-4351	4	32	one	one	NUM
ejpam-4351	4	33	scale	scale	NOUN
ejpam-4351	4	34	parameter	parameter	NOUN
ejpam-4351	4	35	of	of	ADP
ejpam-4351	4	36	gompertz	gompertz	NOUN
ejpam-4351	4	37	distribution	distribution	NOUN
ejpam-4351	4	38	based	base	VERB
ejpam-4351	4	39	on	on	ADP
ejpam-4351	4	40	progressively	progressively	ADV
ejpam-4351	4	41	type	type	NOUN
ejpam-4351	4	42	i	i	PRON
ejpam-4351	4	43	censored	censor	VERB
ejpam-4351	4	44	sample	sample	NOUN
ejpam-4351	4	45	from	from	ADP
ejpam-4351	4	46	the	the	DET
ejpam-4351	4	47	competing	compete	VERB
ejpam-4351	4	48	risks	risk	NOUN
ejpam-4351	4	49	model	model	NOUN
ejpam-4351	4	50	subject	subject	ADJ
ejpam-4351	4	51	to	to	ADP
ejpam-4351	4	52	k	k	PROPN
ejpam-4351	4	53	independent	independent	ADJ
ejpam-4351	4	54	causes	cause	NOUN
ejpam-4351	4	55	.	.	PUNCT
ejpam-4351	5	1	the	the	DET
ejpam-4351	5	2	estimators	estimator	NOUN
ejpam-4351	5	3	obtained	obtain	VERB
ejpam-4351	5	4	generalize	generalize	VERB
ejpam-4351	5	5	those	those	PRON
ejpam-4351	5	6	issued	issue	VERB
ejpam-4351	5	7	from	from	ADP
ejpam-4351	5	8	the	the	DET
ejpam-4351	5	9	quadratic	quadratic	ADJ
ejpam-4351	5	10	loss	loss	NOUN
ejpam-4351	5	11	,	,	PUNCT
ejpam-4351	5	12	entropy	entropy	VERB
ejpam-4351	5	13	loss	loss	NOUN
ejpam-4351	5	14	and	and	CCONJ
ejpam-4351	5	15	degroot	degroot	PROPN
ejpam-4351	5	16	loss	loss	NOUN
ejpam-4351	5	17	functions	function	NOUN
ejpam-4351	5	18	.	.	PUNCT
ejpam-4351	6	1	2020	2020	NUM
ejpam-4351	6	2	mathematics	mathematic	NOUN
ejpam-4351	6	3	subject	subject	NOUN
ejpam-4351	6	4	classifications	classification	NOUN
ejpam-4351	6	5	:	:	PUNCT
ejpam-4351	6	6	62c10	62c10	NUM
ejpam-4351	6	7	,	,	PUNCT
ejpam-4351	6	8	91g70	91g70	NUM
ejpam-4351	6	9	,	,	PUNCT
ejpam-4351	6	10	33b15	33b15	NUM
ejpam-4351	6	11	,	,	PUNCT
ejpam-4351	6	12	62p20	62p20	NUM
ejpam-4351	6	13	key	key	ADJ
ejpam-4351	6	14	words	word	NOUN
ejpam-4351	6	15	and	and	CCONJ
ejpam-4351	6	16	phrases	phrase	NOUN
ejpam-4351	6	17	:	:	PUNCT
ejpam-4351	6	18	bayesian	bayesian	NOUN
ejpam-4351	6	19	estimation	estimation	NOUN
ejpam-4351	6	20	,	,	PUNCT
ejpam-4351	6	21	e	e	NOUN
ejpam-4351	6	22	-	-	NOUN
ejpam-4351	6	23	bayesian	bayesian	ADJ
ejpam-4351	6	24	estimation	estimation	NOUN
ejpam-4351	6	25	,	,	PUNCT
ejpam-4351	6	26	competing	compete	VERB
ejpam-4351	6	27	risks	risk	NOUN
ejpam-4351	6	28	,	,	PUNCT
ejpam-4351	6	29	type	type	NOUN
ejpam-4351	6	30	-	-	PUNCT
ejpam-4351	6	31	i	i	PRON
ejpam-4351	6	32	progressively	progressively	ADV
ejpam-4351	6	33	censoring	censor	VERB
ejpam-4351	6	34	,	,	PUNCT
ejpam-4351	6	35	loss	loss	NOUN
ejpam-4351	6	36	function	function	NOUN
ejpam-4351	6	37	1	1	NUM
ejpam-4351	6	38	.	.	PUNCT
ejpam-4351	6	39	introduction	introduction	NOUN
ejpam-4351	6	40	several	several	ADJ
ejpam-4351	6	41	estimations	estimation	NOUN
ejpam-4351	6	42	of	of	ADP
ejpam-4351	6	43	the	the	DET
ejpam-4351	6	44	parameters	parameter	NOUN
ejpam-4351	6	45	of	of	ADP
ejpam-4351	6	46	the	the	DET
ejpam-4351	6	47	gompertz	gompertz	NOUN
ejpam-4351	6	48	distribution	distribution	NOUN
ejpam-4351	6	49	in	in	ADP
ejpam-4351	6	50	a	a	DET
ejpam-4351	6	51	competing	compete	VERB
ejpam-4351	6	52	risks	risk	NOUN
ejpam-4351	6	53	context	context	NOUN
ejpam-4351	6	54	have	have	AUX
ejpam-4351	6	55	been	be	AUX
ejpam-4351	6	56	studied	study	VERB
ejpam-4351	6	57	in	in	ADP
ejpam-4351	6	58	the	the	DET
ejpam-4351	6	59	literature	literature	NOUN
ejpam-4351	6	60	.	.	PUNCT
ejpam-4351	7	1	the	the	DET
ejpam-4351	7	2	maximum	maximum	ADJ
ejpam-4351	7	3	likelihood	likelihood	NOUN
ejpam-4351	7	4	estimation	estimation	NOUN
ejpam-4351	7	5	has	have	AUX
ejpam-4351	7	6	been	be	AUX
ejpam-4351	7	7	studied	study	VERB
ejpam-4351	7	8	by	by	ADP
ejpam-4351	7	9	[	[	X
ejpam-4351	7	10	17	17	NUM
ejpam-4351	7	11	]	]	PUNCT
ejpam-4351	7	12	,	,	PUNCT
ejpam-4351	7	13	while	while	SCONJ
ejpam-4351	7	14	the	the	DET
ejpam-4351	7	15	bayesian	bayesian	NOUN
ejpam-4351	7	16	estimation	estimation	NOUN
ejpam-4351	7	17	and	and	CCONJ
ejpam-4351	7	18	the	the	DET
ejpam-4351	7	19	hierarchical	hierarchical	ADJ
ejpam-4351	7	20	bayesian	bayesian	NOUN
ejpam-4351	7	21	estimation	estimation	NOUN
ejpam-4351	7	22	have	have	AUX
ejpam-4351	7	23	been	be	AUX
ejpam-4351	7	24	investigated	investigate	VERB
ejpam-4351	7	25	by	by	ADP
ejpam-4351	7	26	[	[	X
ejpam-4351	7	27	19	19	NUM
ejpam-4351	7	28	]	]	PUNCT
ejpam-4351	7	29	,	,	PUNCT
ejpam-4351	8	1	[	[	X
ejpam-4351	8	2	3	3	NUM
ejpam-4351	8	3	,	,	PUNCT
ejpam-4351	8	4	27	27	NUM
ejpam-4351	8	5	,	,	PUNCT
ejpam-4351	8	6	28	28	NUM
ejpam-4351	8	7	]	]	PUNCT
ejpam-4351	8	8	,	,	PUNCT
ejpam-4351	8	9	[	[	X
ejpam-4351	8	10	30	30	NUM
ejpam-4351	8	11	]	]	PUNCT
ejpam-4351	8	12	,	,	PUNCT
ejpam-4351	8	13	[	[	X
ejpam-4351	8	14	33	33	NUM
ejpam-4351	8	15	]	]	PUNCT
ejpam-4351	8	16	and	and	CCONJ
ejpam-4351	8	17	[	[	X
ejpam-4351	8	18	23	23	NUM
ejpam-4351	8	19	]	]	PUNCT
ejpam-4351	8	20	.	.	PUNCT
ejpam-4351	9	1	all	all	DET
ejpam-4351	9	2	these	these	DET
ejpam-4351	9	3	methods	method	NOUN
ejpam-4351	9	4	involve	involve	VERB
ejpam-4351	9	5	integrals	integral	NOUN
ejpam-4351	9	6	whose	whose	DET
ejpam-4351	9	7	computation	computation	NOUN
ejpam-4351	9	8	is	be	AUX
ejpam-4351	9	9	not	not	PART
ejpam-4351	9	10	easy	easy	ADJ
ejpam-4351	9	11	and	and	CCONJ
ejpam-4351	9	12	may	may	AUX
ejpam-4351	9	13	require	require	VERB
ejpam-4351	9	14	numerical	numerical	ADJ
ejpam-4351	9	15	methods	method	NOUN
ejpam-4351	9	16	.	.	PUNCT
ejpam-4351	10	1	the	the	DET
ejpam-4351	10	2	progress	progress	NOUN
ejpam-4351	10	3	in	in	ADP
ejpam-4351	10	4	computational	computational	ADJ
ejpam-4351	10	5	mathematics	mathematic	NOUN
ejpam-4351	10	6	and	and	CCONJ
ejpam-4351	10	7	statistics	statistic	NOUN
ejpam-4351	10	8	during	during	ADP
ejpam-4351	10	9	the	the	DET
ejpam-4351	10	10	past	past	ADJ
ejpam-4351	10	11	two	two	NUM
ejpam-4351	10	12	decades	decade	NOUN
ejpam-4351	10	13	has	have	AUX
ejpam-4351	10	14	contributed	contribute	VERB
ejpam-4351	10	15	to	to	ADP
ejpam-4351	10	16	the	the	DET
ejpam-4351	10	17	development	development	NOUN
ejpam-4351	10	18	of	of	ADP
ejpam-4351	10	19	a	a	DET
ejpam-4351	10	20	new	new	ADJ
ejpam-4351	10	21	method	method	NOUN
ejpam-4351	10	22	called	call	VERB
ejpam-4351	10	23	e	e	NOUN
ejpam-4351	10	24	-	-	NOUN
ejpam-4351	10	25	bayesian	bayesian	ADJ
ejpam-4351	10	26	estimation	estimation	NOUN
ejpam-4351	10	27	introduced	introduce	VERB
ejpam-4351	10	28	by	by	ADP
ejpam-4351	10	29	[	[	X
ejpam-4351	10	30	10	10	NUM
ejpam-4351	10	31	]	]	PUNCT
ejpam-4351	10	32	.	.	PUNCT
ejpam-4351	11	1	by	by	ADP
ejpam-4351	11	2	considering	consider	VERB
ejpam-4351	11	3	the	the	DET
ejpam-4351	11	4	quadratic	quadratic	ADJ
ejpam-4351	11	5	loss	loss	NOUN
ejpam-4351	11	6	function	function	NOUN
ejpam-4351	11	7	,	,	PUNCT
ejpam-4351	11	8	[	[	X
ejpam-4351	11	9	10	10	NUM
ejpam-4351	11	10	]	]	PUNCT
ejpam-4351	11	11	proved	prove	VERB
ejpam-4351	11	12	by	by	ADP
ejpam-4351	11	13	means	mean	NOUN
ejpam-4351	11	14	of	of	ADP
ejpam-4351	11	15	simulations	simulation	NOUN
ejpam-4351	11	16	,	,	PUNCT
ejpam-4351	11	17	that	that	SCONJ
ejpam-4351	11	18	the	the	DET
ejpam-4351	11	19	e	e	NOUN
ejpam-4351	11	20	-	-	NOUN
ejpam-4351	11	21	bayesian	bayesian	ADJ
ejpam-4351	11	22	estimator	estimator	NOUN
ejpam-4351	11	23	is	be	AUX
ejpam-4351	11	24	more	more	ADV
ejpam-4351	11	25	efficient	efficient	ADJ
ejpam-4351	11	26	and	and	CCONJ
ejpam-4351	11	27	easier	easy	ADJ
ejpam-4351	11	28	to	to	PART
ejpam-4351	11	29	implement	implement	VERB
ejpam-4351	11	30	than	than	ADP
ejpam-4351	11	31	others	other	NOUN
ejpam-4351	11	32	∗corresponding	∗corresponde	VERB
ejpam-4351	11	33	author	author	NOUN
ejpam-4351	11	34	.	.	PUNCT
ejpam-4351	12	1	doi	doi	NOUN
ejpam-4351	12	2	:	:	PUNCT
ejpam-4351	12	3	https://doi.org/10.29020/nybg.ejpam.v15i2.4351	https://doi.org/10.29020/nybg.ejpam.v15i2.4351	NOUN
ejpam-4351	12	4	email	email	NOUN
ejpam-4351	12	5	addresses	address	NOUN
ejpam-4351	12	6	:	:	PUNCT
ejpam-4351	12	7	didiernjamen1@gmail.com	didiernjamen1@gmail.com	X
ejpam-4351	12	8	(	(	PUNCT
ejpam-4351	12	9	d.	d.	NOUN
ejpam-4351	12	10	a.	a.	PROPN
ejpam-4351	12	11	n.	n.	PROPN
ejpam-4351	12	12	njamen	njamen	PROPN
ejpam-4351	12	13	)	)	PUNCT
ejpam-4351	12	14	,	,	PUNCT
ejpam-4351	12	15	thierytd@yahoo.fr	thierytd@yahoo.fr	PROPN
ejpam-4351	12	16	(	(	PUNCT
ejpam-4351	12	17	t.	t.	PROPN
ejpam-4351	12	18	donfack	donfack	PROPN
ejpam-4351	12	19	)	)	PUNCT
ejpam-4351	12	20	,	,	PUNCT
ejpam-4351	12	21	joseph.ngatchou-wandji@univ-lorraine.fr	joseph.ngatchou-wandji@univ-lorraine.fr	PROPN
ejpam-4351	12	22	(	(	PUNCT
ejpam-4351	12	23	j.	j.	PROPN
ejpam-4351	12	24	ngatchou	ngatchou	PROPN
ejpam-4351	12	25	-	-	PUNCT
ejpam-4351	12	26	wandji	wandji	PROPN
ejpam-4351	12	27	)	)	PUNCT
ejpam-4351	12	28	,	,	PUNCT
ejpam-4351	12	29	nguefacktsague@gmail.com	nguefacktsague@gmail.com	X
ejpam-4351	13	1	(	(	PUNCT
ejpam-4351	13	2	g.	g.	PROPN
ejpam-4351	13	3	nguefack	nguefack	NOUN
ejpam-4351	13	4	-	-	PUNCT
ejpam-4351	13	5	tsague	tsague	NOUN
ejpam-4351	13	6	)	)	PUNCT
ejpam-4351	13	7	https://www.ejpam.com	https://www.ejpam.com	NOUN
ejpam-4351	13	8	753	753	NUM
ejpam-4351	14	1	©	©	ADP
ejpam-4351	14	2	2022	2022	NUM
ejpam-4351	14	3	ejpam	ejpam	VERB
ejpam-4351	14	4	all	all	DET
ejpam-4351	14	5	rights	right	NOUN
ejpam-4351	14	6	reserved	reserve	VERB
ejpam-4351	14	7	.	.	PUNCT
ejpam-4351	15	1	d.	d.	PROPN
ejpam-4351	15	2	a.	a.	PROPN
ejpam-4351	15	3	n.	n.	PROPN
ejpam-4351	15	4	njamen	njamen	PROPN
ejpam-4351	15	5	et	et	PROPN
ejpam-4351	15	6	al	al	PROPN
ejpam-4351	15	7	.	.	PUNCT
ejpam-4351	15	8	/	/	SYM
ejpam-4351	15	9	eur	eur	PROPN
ejpam-4351	15	10	.	.	PUNCT
ejpam-4351	16	1	j.	j.	PROPN
ejpam-4351	16	2	pure	pure	PROPN
ejpam-4351	16	3	appl	appl	PROPN
ejpam-4351	16	4	.	.	PROPN
ejpam-4351	16	5	math	math	PROPN
ejpam-4351	16	6	,	,	PUNCT
ejpam-4351	16	7	15	15	NUM
ejpam-4351	16	8	(	(	PUNCT
ejpam-4351	16	9	2	2	NUM
ejpam-4351	16	10	)	)	PUNCT
ejpam-4351	16	11	(	(	PUNCT
ejpam-4351	16	12	2022	2022	NUM
ejpam-4351	16	13	)	)	PUNCT
ejpam-4351	16	14	,	,	PUNCT
ejpam-4351	16	15	753	753	NUM
ejpam-4351	16	16	-	-	SYM
ejpam-4351	16	17	773	773	NUM
ejpam-4351	16	18	754	754	NUM
ejpam-4351	16	19	authors	author	NOUN
ejpam-4351	16	20	.	.	PUNCT
ejpam-4351	17	1	since	since	SCONJ
ejpam-4351	17	2	then	then	ADV
ejpam-4351	17	3	,	,	PUNCT
ejpam-4351	17	4	there	there	PRON
ejpam-4351	17	5	has	have	AUX
ejpam-4351	17	6	been	be	AUX
ejpam-4351	17	7	a	a	DET
ejpam-4351	17	8	growing	grow	VERB
ejpam-4351	17	9	interest	interest	NOUN
ejpam-4351	17	10	in	in	ADP
ejpam-4351	17	11	studying	study	VERB
ejpam-4351	17	12	e	e	NOUN
ejpam-4351	17	13	-	-	NOUN
ejpam-4351	17	14	bayesian	bayesian	ADJ
ejpam-4351	17	15	estimation	estimation	NOUN
ejpam-4351	17	16	.	.	PUNCT
ejpam-4351	18	1	the	the	DET
ejpam-4351	18	2	studies	study	NOUN
ejpam-4351	18	3	are	be	AUX
ejpam-4351	18	4	done	do	VERB
ejpam-4351	18	5	under	under	ADP
ejpam-4351	18	6	different	different	ADJ
ejpam-4351	18	7	distributions	distribution	NOUN
ejpam-4351	18	8	such	such	ADJ
ejpam-4351	18	9	as	as	ADP
ejpam-4351	18	10	the	the	DET
ejpam-4351	18	11	binomial	binomial	ADJ
ejpam-4351	18	12	distribution	distribution	NOUN
ejpam-4351	18	13	[	[	X
ejpam-4351	18	14	19	19	NUM
ejpam-4351	18	15	]	]	PUNCT
ejpam-4351	18	16	,	,	PUNCT
ejpam-4351	18	17	the	the	DET
ejpam-4351	18	18	exponential	exponential	ADJ
ejpam-4351	18	19	distribution	distribution	NOUN
ejpam-4351	18	20	(	(	PUNCT
ejpam-4351	18	21	[	[	X
ejpam-4351	18	22	30	30	NUM
ejpam-4351	18	23	]	]	NUM
ejpam-4351	18	24	)	)	PUNCT
ejpam-4351	18	25	,	,	PUNCT
ejpam-4351	18	26	the	the	DET
ejpam-4351	18	27	pareto	pareto	ADJ
ejpam-4351	18	28	distribution	distribution	NOUN
ejpam-4351	18	29	[	[	X
ejpam-4351	18	30	26	26	NUM
ejpam-4351	18	31	]	]	PUNCT
ejpam-4351	18	32	and	and	CCONJ
ejpam-4351	18	33	the	the	DET
ejpam-4351	18	34	distribution	distribution	NOUN
ejpam-4351	18	35	of	of	ADP
ejpam-4351	18	36	lomax	lomax	PROPN
ejpam-4351	18	37	(	(	PUNCT
ejpam-4351	18	38	[	[	X
ejpam-4351	18	39	6	6	NUM
ejpam-4351	18	40	]	]	NUM
ejpam-4351	18	41	)	)	PUNCT
ejpam-4351	18	42	.	.	PUNCT
ejpam-4351	19	1	all	all	DET
ejpam-4351	19	2	these	these	DET
ejpam-4351	19	3	papers	paper	NOUN
ejpam-4351	19	4	came	come	VERB
ejpam-4351	19	5	to	to	ADP
ejpam-4351	19	6	the	the	DET
ejpam-4351	19	7	same	same	ADJ
ejpam-4351	19	8	conclusion	conclusion	NOUN
ejpam-4351	19	9	that	that	SCONJ
ejpam-4351	19	10	the	the	DET
ejpam-4351	19	11	e	e	NOUN
ejpam-4351	19	12	-	-	NOUN
ejpam-4351	19	13	bayesian	bayesian	ADJ
ejpam-4351	19	14	estimate	estimate	NOUN
ejpam-4351	19	15	is	be	AUX
ejpam-4351	19	16	better	well	ADJ
ejpam-4351	19	17	than	than	ADP
ejpam-4351	19	18	the	the	DET
ejpam-4351	19	19	bayesian	bayesian	NOUN
ejpam-4351	19	20	estimate	estimate	NOUN
ejpam-4351	19	21	.	.	PUNCT
ejpam-4351	20	1	[	[	X
ejpam-4351	20	2	32	32	NUM
ejpam-4351	20	3	]	]	PUNCT
ejpam-4351	20	4	studied	study	VERB
ejpam-4351	20	5	e	e	NOUN
ejpam-4351	20	6	-	-	NOUN
ejpam-4351	20	7	bayesian	bayesian	ADJ
ejpam-4351	20	8	estimation	estimation	NOUN
ejpam-4351	20	9	of	of	ADP
ejpam-4351	20	10	a	a	DET
ejpam-4351	20	11	parameter	parameter	NOUN
ejpam-4351	20	12	in	in	ADP
ejpam-4351	20	13	the	the	DET
ejpam-4351	20	14	context	context	NOUN
ejpam-4351	20	15	of	of	ADP
ejpam-4351	20	16	competing	compete	VERB
ejpam-4351	20	17	risks	risk	NOUN
ejpam-4351	20	18	model	model	NOUN
ejpam-4351	20	19	under	under	ADP
ejpam-4351	20	20	the	the	DET
ejpam-4351	20	21	quadratic	quadratic	ADJ
ejpam-4351	20	22	and	and	CCONJ
ejpam-4351	20	23	linex	linex	ADJ
ejpam-4351	20	24	loss	loss	NOUN
ejpam-4351	20	25	functions	function	NOUN
ejpam-4351	20	26	.	.	PUNCT
ejpam-4351	21	1	they	they	PRON
ejpam-4351	21	2	also	also	ADV
ejpam-4351	21	3	concluded	conclude	VERB
ejpam-4351	21	4	that	that	SCONJ
ejpam-4351	21	5	the	the	DET
ejpam-4351	21	6	new	new	ADJ
ejpam-4351	21	7	method	method	NOUN
ejpam-4351	21	8	is	be	AUX
ejpam-4351	21	9	more	more	ADV
ejpam-4351	21	10	efficient	efficient	ADJ
ejpam-4351	21	11	under	under	ADP
ejpam-4351	21	12	these	these	DET
ejpam-4351	21	13	loss	loss	NOUN
ejpam-4351	21	14	functions	function	NOUN
ejpam-4351	21	15	.	.	PUNCT
ejpam-4351	22	1	in	in	ADP
ejpam-4351	22	2	this	this	DET
ejpam-4351	22	3	article	article	NOUN
ejpam-4351	22	4	,	,	PUNCT
ejpam-4351	22	5	we	we	PRON
ejpam-4351	22	6	assume	assume	VERB
ejpam-4351	22	7	that	that	SCONJ
ejpam-4351	22	8	the	the	DET
ejpam-4351	22	9	survival	survival	NOUN
ejpam-4351	22	10	time	time	NOUN
ejpam-4351	22	11	x	x	PUNCT
ejpam-4351	22	12	is	be	AUX
ejpam-4351	22	13	a	a	DET
ejpam-4351	22	14	positive	positive	ADJ
ejpam-4351	22	15	and	and	CCONJ
ejpam-4351	22	16	absolutely	absolutely	ADV
ejpam-4351	22	17	continuous	continuous	ADJ
ejpam-4351	22	18	random	random	ADJ
ejpam-4351	22	19	variable	variable	NOUN
ejpam-4351	22	20	.	.	PUNCT
ejpam-4351	23	1	instead	instead	ADV
ejpam-4351	23	2	of	of	ADP
ejpam-4351	23	3	observing	observe	VERB
ejpam-4351	23	4	independent	independent	ADJ
ejpam-4351	23	5	and	and	CCONJ
ejpam-4351	23	6	identically	identically	ADV
ejpam-4351	23	7	distributed	distribute	VERB
ejpam-4351	23	8	realizations	realization	NOUN
ejpam-4351	23	9	(	(	PUNCT
ejpam-4351	23	10	i.i.d	i.i.d	NOUN
ejpam-4351	23	11	.	.	PUNCT
ejpam-4351	23	12	)	)	PUNCT
ejpam-4351	23	13	of	of	ADP
ejpam-4351	23	14	duration	duration	NOUN
ejpam-4351	23	15	x	x	NOUN
ejpam-4351	23	16	,	,	PUNCT
ejpam-4351	23	17	we	we	PRON
ejpam-4351	23	18	observe	observe	VERB
ejpam-4351	23	19	the	the	DET
ejpam-4351	23	20	realization	realization	NOUN
ejpam-4351	23	21	of	of	ADP
ejpam-4351	23	22	the	the	DET
ejpam-4351	23	23	variable	variable	NOUN
ejpam-4351	23	24	x	x	PUNCT
ejpam-4351	23	25	subjected	subject	VERB
ejpam-4351	23	26	to	to	ADP
ejpam-4351	23	27	various	various	ADJ
ejpam-4351	23	28	perturbations	perturbation	NOUN
ejpam-4351	23	29	independent	independent	ADJ
ejpam-4351	23	30	or	or	CCONJ
ejpam-4351	23	31	not	not	PART
ejpam-4351	23	32	of	of	ADP
ejpam-4351	23	33	the	the	DET
ejpam-4351	23	34	phenomenon	phenomenon	NOUN
ejpam-4351	23	35	studied	study	VERB
ejpam-4351	23	36	.	.	PUNCT
ejpam-4351	24	1	in	in	ADP
ejpam-4351	24	2	the	the	DET
ejpam-4351	24	3	presence	presence	NOUN
ejpam-4351	24	4	of	of	ADP
ejpam-4351	24	5	right	right	ADJ
ejpam-4351	24	6	random	random	ADJ
ejpam-4351	24	7	censorship	censorship	NOUN
ejpam-4351	24	8	,	,	PUNCT
ejpam-4351	24	9	the	the	DET
ejpam-4351	24	10	lifetimes	lifetime	NOUN
ejpam-4351	24	11	are	be	AUX
ejpam-4351	24	12	not	not	PART
ejpam-4351	24	13	all	all	PRON
ejpam-4351	24	14	observed	observe	VERB
ejpam-4351	24	15	.	.	PUNCT
ejpam-4351	25	1	for	for	ADP
ejpam-4351	25	2	some	some	PRON
ejpam-4351	25	3	of	of	ADP
ejpam-4351	25	4	them	they	PRON
ejpam-4351	25	5	,	,	PUNCT
ejpam-4351	25	6	one	one	NUM
ejpam-4351	25	7	only	only	ADV
ejpam-4351	25	8	knows	know	VERB
ejpam-4351	25	9	that	that	SCONJ
ejpam-4351	25	10	they	they	PRON
ejpam-4351	25	11	are	be	AUX
ejpam-4351	25	12	greater	great	ADJ
ejpam-4351	25	13	than	than	ADP
ejpam-4351	25	14	a	a	DET
ejpam-4351	25	15	certain	certain	ADJ
ejpam-4351	25	16	known	know	VERB
ejpam-4351	25	17	value	value	NOUN
ejpam-4351	25	18	.	.	PUNCT
ejpam-4351	26	1	there	there	PRON
ejpam-4351	26	2	are	be	VERB
ejpam-4351	26	3	several	several	ADJ
ejpam-4351	26	4	types	type	NOUN
ejpam-4351	26	5	of	of	ADP
ejpam-4351	26	6	censorship	censorship	NOUN
ejpam-4351	26	7	:	:	PUNCT
ejpam-4351	26	8	type	type	NOUN
ejpam-4351	26	9	i	i	PROPN
ejpam-4351	26	10	,	,	PUNCT
ejpam-4351	26	11	ii	ii	PROPN
ejpam-4351	26	12	,	,	PUNCT
ejpam-4351	26	13	and	and	CCONJ
ejpam-4351	26	14	iii	iii	X
ejpam-4351	26	15	censorship	censorship	NOUN
ejpam-4351	26	16	.	.	PUNCT
ejpam-4351	27	1	the	the	DET
ejpam-4351	27	2	reader	reader	NOUN
ejpam-4351	27	3	interested	interested	ADJ
ejpam-4351	27	4	in	in	ADP
ejpam-4351	27	5	the	the	DET
ejpam-4351	27	6	notion	notion	NOUN
ejpam-4351	27	7	of	of	ADP
ejpam-4351	27	8	censorship	censorship	NOUN
ejpam-4351	27	9	can	can	AUX
ejpam-4351	27	10	refer	refer	VERB
ejpam-4351	27	11	to	to	ADP
ejpam-4351	27	12	[	[	X
ejpam-4351	27	13	1	1	NUM
ejpam-4351	27	14	]	]	PUNCT
ejpam-4351	27	15	or	or	CCONJ
ejpam-4351	27	16	[	[	X
ejpam-4351	27	17	7	7	NUM
ejpam-4351	27	18	]	]	PUNCT
ejpam-4351	27	19	.	.	PUNCT
ejpam-4351	28	1	type	type	NOUN
ejpam-4351	28	2	i	i	PRON
ejpam-4351	28	3	censorship	censorship	NOUN
ejpam-4351	28	4	describes	describe	VERB
ejpam-4351	28	5	the	the	DET
ejpam-4351	28	6	situation	situation	NOUN
ejpam-4351	28	7	where	where	SCONJ
ejpam-4351	28	8	a	a	DET
ejpam-4351	28	9	test	test	NOUN
ejpam-4351	28	10	ends	end	VERB
ejpam-4351	28	11	at	at	ADP
ejpam-4351	28	12	a	a	DET
ejpam-4351	28	13	certain	certain	ADJ
ejpam-4351	28	14	period	period	NOUN
ejpam-4351	28	15	and	and	CCONJ
ejpam-4351	28	16	one	one	NUM
ejpam-4351	28	17	knows	know	VERB
ejpam-4351	28	18	that	that	SCONJ
ejpam-4351	28	19	the	the	DET
ejpam-4351	28	20	remaining	remain	VERB
ejpam-4351	28	21	individuals	individual	NOUN
ejpam-4351	28	22	have	have	AUX
ejpam-4351	28	23	not	not	PART
ejpam-4351	28	24	yet	yet	ADV
ejpam-4351	28	25	been	be	AUX
ejpam-4351	28	26	observed	observe	VERB
ejpam-4351	28	27	.	.	PUNCT
ejpam-4351	29	1	in	in	ADP
ejpam-4351	29	2	this	this	DET
ejpam-4351	29	3	case	case	NOUN
ejpam-4351	29	4	,	,	PUNCT
ejpam-4351	29	5	the	the	DET
ejpam-4351	29	6	censorship	censorship	NOUN
ejpam-4351	29	7	time	time	NOUN
ejpam-4351	29	8	is	be	AUX
ejpam-4351	29	9	fixed	fix	VERB
ejpam-4351	29	10	in	in	ADP
ejpam-4351	29	11	advance	advance	NOUN
ejpam-4351	29	12	and	and	CCONJ
ejpam-4351	29	13	the	the	DET
ejpam-4351	29	14	number	number	NOUN
ejpam-4351	29	15	of	of	ADP
ejpam-4351	29	16	individuals	individual	NOUN
ejpam-4351	29	17	not	not	PART
ejpam-4351	29	18	observed	observe	VERB
ejpam-4351	29	19	is	be	AUX
ejpam-4351	29	20	a	a	DET
ejpam-4351	29	21	random	random	ADJ
ejpam-4351	29	22	variable	variable	NOUN
ejpam-4351	29	23	.	.	PUNCT
ejpam-4351	30	1	let	let	VERB
ejpam-4351	30	2	c	c	PRON
ejpam-4351	30	3	be	be	AUX
ejpam-4351	30	4	a	a	DET
ejpam-4351	30	5	fixed	fix	VERB
ejpam-4351	30	6	value	value	NOUN
ejpam-4351	30	7	,	,	PUNCT
ejpam-4351	30	8	instead	instead	ADV
ejpam-4351	30	9	of	of	ADP
ejpam-4351	30	10	observing	observe	VERB
ejpam-4351	30	11	the	the	DET
ejpam-4351	30	12	complete	complete	ADJ
ejpam-4351	30	13	life	life	NOUN
ejpam-4351	30	14	time	time	NOUN
ejpam-4351	30	15	variables	variable	NOUN
ejpam-4351	30	16	x1	x1	PROPN
ejpam-4351	30	17	,	,	PUNCT
ejpam-4351	30	18	·	·	PUNCT
ejpam-4351	30	19	·	·	PUNCT
ejpam-4351	30	20	·	·	PUNCT
ejpam-4351	30	21	,	,	PUNCT
ejpam-4351	30	22	xn	xn	PROPN
ejpam-4351	30	23	,	,	PUNCT
ejpam-4351	30	24	one	one	PRON
ejpam-4351	30	25	observes	observe	VERB
ejpam-4351	30	26	xi	xi	X
ejpam-4351	30	27	when	when	SCONJ
ejpam-4351	30	28	xi	xi	ADP
ejpam-4351	30	29	≤	≤	PROPN
ejpam-4351	30	30	ci	ci	NOUN
ejpam-4351	31	1	if	if	SCONJ
ejpam-4351	31	2	not	not	PART
ejpam-4351	31	3	,	,	PUNCT
ejpam-4351	31	4	one	one	PRON
ejpam-4351	31	5	knows	know	VERB
ejpam-4351	31	6	that	that	SCONJ
ejpam-4351	31	7	xi	xi	PROPN
ejpam-4351	31	8	>	>	X
ejpam-4351	31	9	ci	ci	PROPN
ejpam-4351	31	10	.	.	PUNCT
ejpam-4351	32	1	we	we	PRON
ejpam-4351	32	2	use	use	VERB
ejpam-4351	32	3	the	the	DET
ejpam-4351	32	4	following	follow	VERB
ejpam-4351	32	5	notation	notation	NOUN
ejpam-4351	32	6	ti	ti	NOUN
ejpam-4351	32	7	=	=	SYM
ejpam-4351	32	8	xi	xi	PROPN
ejpam-4351	32	9	∧	∧	PROPN
ejpam-4351	32	10	ci	ci	PROPN
ejpam-4351	32	11	=	=	X
ejpam-4351	32	12	min(xi	min(xi	PROPN
ejpam-4351	32	13	,	,	PUNCT
ejpam-4351	32	14	ci	ci	NOUN
ejpam-4351	32	15	)	)	PUNCT
ejpam-4351	32	16	,	,	PUNCT
ejpam-4351	32	17	with	with	ADP
ejpam-4351	32	18	i	i	PROPN
ejpam-4351	32	19	=	=	SYM
ejpam-4351	32	20	1	1	NUM
ejpam-4351	32	21	,	,	PUNCT
ejpam-4351	32	22	·	·	PUNCT
ejpam-4351	32	23	·	·	PUNCT
ejpam-4351	32	24	·	·	PUNCT
ejpam-4351	32	25	,	,	PUNCT
ejpam-4351	32	26	n.	n.	NOUN
ejpam-4351	32	27	in	in	ADP
ejpam-4351	32	28	the	the	DET
ejpam-4351	32	29	case	case	NOUN
ejpam-4351	32	30	of	of	ADP
ejpam-4351	32	31	simple	simple	ADJ
ejpam-4351	32	32	type	type	NOUN
ejpam-4351	32	33	i	i	PRON
ejpam-4351	32	34	censorship	censorship	NOUN
ejpam-4351	32	35	,	,	PUNCT
ejpam-4351	32	36	all	all	DET
ejpam-4351	32	37	the	the	DET
ejpam-4351	32	38	individuals	individual	NOUN
ejpam-4351	32	39	are	be	AUX
ejpam-4351	32	40	censored	censor	VERB
ejpam-4351	32	41	after	after	ADP
ejpam-4351	32	42	the	the	DET
ejpam-4351	32	43	same	same	ADJ
ejpam-4351	32	44	length	length	NOUN
ejpam-4351	32	45	of	of	ADP
ejpam-4351	32	46	time	time	NOUN
ejpam-4351	32	47	while	while	SCONJ
ejpam-4351	32	48	in	in	ADP
ejpam-4351	32	49	the	the	DET
ejpam-4351	32	50	case	case	NOUN
ejpam-4351	32	51	of	of	ADP
ejpam-4351	32	52	progressive	progressive	ADJ
ejpam-4351	32	53	type	type	NOUN
ejpam-4351	32	54	i	i	PRON
ejpam-4351	32	55	censorship	censorship	NOUN
ejpam-4351	32	56	which	which	PRON
ejpam-4351	32	57	is	be	AUX
ejpam-4351	32	58	used	use	VERB
ejpam-4351	32	59	in	in	ADP
ejpam-4351	32	60	this	this	DET
ejpam-4351	32	61	article	article	NOUN
ejpam-4351	32	62	,	,	PUNCT
ejpam-4351	32	63	all	all	DET
ejpam-4351	32	64	the	the	DET
ejpam-4351	32	65	individuals	individual	NOUN
ejpam-4351	32	66	are	be	AUX
ejpam-4351	32	67	censored	censor	VERB
ejpam-4351	32	68	at	at	ADP
ejpam-4351	32	69	the	the	DET
ejpam-4351	32	70	same	same	ADJ
ejpam-4351	32	71	date	date	NOUN
ejpam-4351	32	72	whatever	whatever	PRON
ejpam-4351	32	73	the	the	DET
ejpam-4351	32	74	time	time	NOUN
ejpam-4351	32	75	span	span	NOUN
ejpam-4351	32	76	they	they	PRON
ejpam-4351	32	77	were	be	AUX
ejpam-4351	32	78	followed	follow	VERB
ejpam-4351	32	79	.	.	PUNCT
ejpam-4351	33	1	progressively	progressively	ADV
ejpam-4351	33	2	censored	censor	VERB
ejpam-4351	33	3	type	type	NOUN
ejpam-4351	33	4	i	i	PRON
ejpam-4351	33	5	data	datum	NOUN
ejpam-4351	33	6	were	be	AUX
ejpam-4351	33	7	first	first	ADV
ejpam-4351	33	8	proposed	propose	VERB
ejpam-4351	33	9	by	by	ADP
ejpam-4351	33	10	[	[	X
ejpam-4351	33	11	15	15	NUM
ejpam-4351	33	12	]	]	PUNCT
ejpam-4351	33	13	.	.	PUNCT
ejpam-4351	34	1	indeed	indeed	ADV
ejpam-4351	34	2	,	,	PUNCT
ejpam-4351	34	3	in	in	ADP
ejpam-4351	34	4	the	the	DET
ejpam-4351	34	5	context	context	NOUN
ejpam-4351	34	6	of	of	ADP
ejpam-4351	34	7	our	our	PRON
ejpam-4351	34	8	article	article	NOUN
ejpam-4351	34	9	,	,	PUNCT
ejpam-4351	34	10	progressively	progressively	ADV
ejpam-4351	34	11	censored	censor	VERB
ejpam-4351	34	12	type	type	NOUN
ejpam-4351	34	13	i	i	PRON
ejpam-4351	34	14	data	datum	NOUN
ejpam-4351	34	15	are	be	AUX
ejpam-4351	34	16	described	describe	VERB
ejpam-4351	34	17	as	as	SCONJ
ejpam-4351	34	18	follows	follow	VERB
ejpam-4351	34	19	:	:	PUNCT
ejpam-4351	34	20	assume	assume	VERB
ejpam-4351	34	21	that	that	SCONJ
ejpam-4351	34	22	n	n	PRON
ejpam-4351	34	23	units	unit	NOUN
ejpam-4351	34	24	are	be	AUX
ejpam-4351	34	25	wagered	wager	VERB
ejpam-4351	34	26	in	in	ADP
ejpam-4351	34	27	a	a	DET
ejpam-4351	34	28	progressive	progressive	ADJ
ejpam-4351	34	29	life	life	NOUN
ejpam-4351	34	30	-	-	PUNCT
ejpam-4351	34	31	test	test	NOUN
ejpam-4351	34	32	censorship	censorship	NOUN
ejpam-4351	34	33	scheme	scheme	NOUN
ejpam-4351	34	34	:	:	PUNCT
ejpam-4351	34	35	(	(	PUNCT
ejpam-4351	34	36	r1	r1	NOUN
ejpam-4351	34	37	,	,	PUNCT
ejpam-4351	34	38	r2	r2	PROPN
ejpam-4351	34	39	,	,	PUNCT
ejpam-4351	34	40	.	.	PUNCT
ejpam-4351	34	41	.	.	PUNCT
ejpam-4351	34	42	.	.	PUNCT
ejpam-4351	35	1	,	,	PUNCT
ejpam-4351	35	2	rr	rr	PROPN
ejpam-4351	35	3	)	)	PUNCT
ejpam-4351	35	4	,	,	PUNCT
ejpam-4351	35	5	1	1	NUM
ejpam-4351	35	6	≤	≤	NOUN
ejpam-4351	35	7	r	r	NOUN
ejpam-4351	35	8	≤	≤	PUNCT
ejpam-4351	35	9	n.	n.	NOUN
ejpam-4351	35	10	the	the	DET
ejpam-4351	35	11	experiment	experiment	NOUN
ejpam-4351	35	12	is	be	AUX
ejpam-4351	35	13	over	over	ADV
ejpam-4351	35	14	on	on	ADP
ejpam-4351	35	15	the	the	DET
ejpam-4351	35	16	date	date	NOUN
ejpam-4351	35	17	τ	τ	X
ejpam-4351	35	18	∈	∈	PROPN
ejpam-4351	35	19	(	(	PUNCT
ejpam-4351	35	20	0,∞	0,∞	NOUN
ejpam-4351	35	21	)	)	PUNCT
ejpam-4351	35	22	,	,	PUNCT
ejpam-4351	35	23	ri	ri	PROPN
ejpam-4351	35	24	(	(	PUNCT
ejpam-4351	35	25	i	i	NOUN
ejpam-4351	35	26	=	=	NOUN
ejpam-4351	35	27	1	1	NUM
ejpam-4351	35	28	,	,	PUNCT
ejpam-4351	35	29	2	2	NUM
ejpam-4351	35	30	,	,	PUNCT
ejpam-4351	35	31	.	.	PUNCT
ejpam-4351	35	32	.	.	PUNCT
ejpam-4351	35	33	.	.	PUNCT
ejpam-4351	36	1	,	,	PUNCT
ejpam-4351	36	2	r	r	X
ejpam-4351	36	3	)	)	PUNCT
ejpam-4351	36	4	and	and	CCONJ
ejpam-4351	36	5	r	r	NOUN
ejpam-4351	36	6	is	be	AUX
ejpam-4351	36	7	fixed	fix	VERB
ejpam-4351	36	8	in	in	ADP
ejpam-4351	36	9	advance	advance	NOUN
ejpam-4351	36	10	.	.	PUNCT
ejpam-4351	37	1	at	at	ADP
ejpam-4351	37	2	the	the	DET
ejpam-4351	37	3	time	time	NOUN
ejpam-4351	37	4	of	of	ADP
ejpam-4351	37	5	the	the	DET
ejpam-4351	37	6	first	first	ADJ
ejpam-4351	37	7	failure	failure	NOUN
ejpam-4351	37	8	t1	t1	NOUN
ejpam-4351	37	9	,	,	PUNCT
ejpam-4351	37	10	r1	r1	PROPN
ejpam-4351	37	11	of	of	ADP
ejpam-4351	37	12	the	the	DET
ejpam-4351	37	13	remaining	remain	VERB
ejpam-4351	37	14	units	unit	NOUN
ejpam-4351	37	15	are	be	AUX
ejpam-4351	37	16	randomly	randomly	ADV
ejpam-4351	37	17	removed	remove	VERB
ejpam-4351	37	18	,	,	PUNCT
ejpam-4351	37	19	at	at	ADP
ejpam-4351	37	20	the	the	DET
ejpam-4351	37	21	time	time	NOUN
ejpam-4351	37	22	of	of	ADP
ejpam-4351	37	23	the	the	DET
ejpam-4351	37	24	second	second	ADJ
ejpam-4351	37	25	failure	failure	NOUN
ejpam-4351	37	26	t2	t2	NOUN
ejpam-4351	37	27	,	,	PUNCT
ejpam-4351	37	28	r2	r2	PROPN
ejpam-4351	37	29	of	of	ADP
ejpam-4351	37	30	the	the	DET
ejpam-4351	37	31	remaining	remain	VERB
ejpam-4351	37	32	units	unit	NOUN
ejpam-4351	37	33	are	be	AUX
ejpam-4351	37	34	randomly	randomly	ADV
ejpam-4351	37	35	removed	remove	VERB
ejpam-4351	37	36	and	and	CCONJ
ejpam-4351	37	37	so	so	ADV
ejpam-4351	37	38	on	on	ADV
ejpam-4351	37	39	.	.	PUNCT
ejpam-4351	38	1	if	if	SCONJ
ejpam-4351	38	2	the	the	DET
ejpam-4351	38	3	rth	rth	NOUN
ejpam-4351	38	4	failure	failure	NOUN
ejpam-4351	38	5	time	time	NOUN
ejpam-4351	38	6	tr	tr	VERB
ejpam-4351	38	7	occurs	occur	VERB
ejpam-4351	38	8	before	before	ADP
ejpam-4351	38	9	time	time	NOUN
ejpam-4351	38	10	τ	τ	PROPN
ejpam-4351	38	11	,	,	PUNCT
ejpam-4351	38	12	all	all	DET
ejpam-4351	38	13	the	the	DET
ejpam-4351	38	14	remaining	remain	VERB
ejpam-4351	38	15	units	unit	NOUN
ejpam-4351	38	16	rr	rr	NOUN
ejpam-4351	38	17	=	=	SYM
ejpam-4351	38	18	n−	n−	PROPN
ejpam-4351	38	19	r−	r−	PROPN
ejpam-4351	38	20	(	(	PUNCT
ejpam-4351	38	21	r1	r1	PROPN
ejpam-4351	38	22	+	+	X
ejpam-4351	38	23	.	.	PUNCT
ejpam-4351	38	24	.	.	PUNCT
ejpam-4351	39	1	.+rr−1	.+rr−1	PROPN
ejpam-4351	39	2	)	)	PUNCT
ejpam-4351	39	3	are	be	AUX
ejpam-4351	39	4	removed	remove	VERB
ejpam-4351	39	5	and	and	CCONJ
ejpam-4351	39	6	the	the	DET
ejpam-4351	39	7	terminal	terminal	ADJ
ejpam-4351	39	8	time	time	NOUN
ejpam-4351	39	9	of	of	ADP
ejpam-4351	39	10	the	the	DET
ejpam-4351	39	11	experiment	experiment	NOUN
ejpam-4351	39	12	is	be	AUX
ejpam-4351	39	13	tr	tr	VERB
ejpam-4351	39	14	.	.	VERB
ejpam-4351	40	1	on	on	ADP
ejpam-4351	40	2	the	the	DET
ejpam-4351	40	3	other	other	ADJ
ejpam-4351	40	4	hand	hand	NOUN
ejpam-4351	40	5	,	,	PUNCT
ejpam-4351	40	6	if	if	SCONJ
ejpam-4351	40	7	the	the	DET
ejpam-4351	40	8	rth	rth	NOUN
ejpam-4351	40	9	failure	failure	NOUN
ejpam-4351	40	10	time	time	NOUN
ejpam-4351	40	11	tr	tr	PRON
ejpam-4351	40	12	does	do	AUX
ejpam-4351	40	13	not	not	PART
ejpam-4351	40	14	occur	occur	VERB
ejpam-4351	40	15	before	before	ADP
ejpam-4351	40	16	time	time	NOUN
ejpam-4351	40	17	τ	τ	PROPN
ejpam-4351	40	18	and	and	CCONJ
ejpam-4351	40	19	only	only	ADV
ejpam-4351	40	20	j	j	PROPN
ejpam-4351	40	21	failures	failure	NOUN
ejpam-4351	40	22	occur	occur	VERB
ejpam-4351	40	23	before	before	ADP
ejpam-4351	40	24	time	time	NOUN
ejpam-4351	40	25	τ	τ	PROPN
ejpam-4351	40	26	,	,	PUNCT
ejpam-4351	40	27	where	where	SCONJ
ejpam-4351	40	28	0	0	NUM
ejpam-4351	40	29	≤	≤	NUM
ejpam-4351	40	30	j	j	PROPN
ejpam-4351	40	31	≤	≤	ADJ
ejpam-4351	40	32	r	r	NOUN
ejpam-4351	40	33	,	,	PUNCT
ejpam-4351	40	34	then	then	ADV
ejpam-4351	40	35	at	at	ADP
ejpam-4351	40	36	the	the	DET
ejpam-4351	40	37	time	time	NOUN
ejpam-4351	40	38	τ	τ	PROPN
ejpam-4351	40	39	,	,	PUNCT
ejpam-4351	40	40	all	all	DET
ejpam-4351	40	41	the	the	DET
ejpam-4351	40	42	remaining	remain	VERB
ejpam-4351	40	43	r∗	r∗	NOUN
ejpam-4351	40	44	τ	τ	X
ejpam-4351	41	1	=	=	SYM
ejpam-4351	41	2	n−	n−	PROPN
ejpam-4351	41	3	j	j	NOUN
ejpam-4351	41	4	−	−	PROPN
ejpam-4351	41	5	(	(	PUNCT
ejpam-4351	41	6	r1	r1	PROPN
ejpam-4351	41	7	+	+	X
ejpam-4351	41	8	.	.	PUNCT
ejpam-4351	41	9	.	.	PUNCT
ejpam-4351	42	1	.+rj	.+rj	X
ejpam-4351	42	2	)	)	PUNCT
ejpam-4351	42	3	units	unit	NOUN
ejpam-4351	42	4	are	be	AUX
ejpam-4351	42	5	removed	remove	VERB
ejpam-4351	42	6	,	,	PUNCT
ejpam-4351	42	7	and	and	CCONJ
ejpam-4351	42	8	the	the	DET
ejpam-4351	42	9	terminal	terminal	ADJ
ejpam-4351	42	10	time	time	NOUN
ejpam-4351	42	11	of	of	ADP
ejpam-4351	42	12	the	the	DET
ejpam-4351	42	13	experiment	experiment	NOUN
ejpam-4351	42	14	is	be	AUX
ejpam-4351	42	15	τ	τ	PROPN
ejpam-4351	42	16	.	.	PUNCT
ejpam-4351	43	1	we	we	PRON
ejpam-4351	43	2	denote	denote	VERB
ejpam-4351	43	3	the	the	DET
ejpam-4351	43	4	two	two	NUM
ejpam-4351	43	5	cases	case	NOUN
ejpam-4351	43	6	as	as	ADP
ejpam-4351	43	7	:	:	PUNCT
ejpam-4351	43	8	case	case	NOUN
ejpam-4351	43	9	1	1	NUM
ejpam-4351	43	10	t1	t1	NOUN
ejpam-4351	43	11	<	<	X
ejpam-4351	43	12	t2	t2	PROPN
ejpam-4351	43	13	<	<	X
ejpam-4351	43	14	.	.	PUNCT
ejpam-4351	43	15	.	.	PUNCT
ejpam-4351	43	16	.	.	PUNCT
ejpam-4351	44	1	<	<	X
ejpam-4351	44	2	tr	tr	VERB
ejpam-4351	44	3	,	,	PUNCT
ejpam-4351	44	4	tr	tr	ADJ
ejpam-4351	44	5	<	<	X
ejpam-4351	44	6	τ	τ	X
ejpam-4351	44	7	;	;	PUNCT
ejpam-4351	44	8	case	case	NOUN
ejpam-4351	44	9	2	2	NUM
ejpam-4351	44	10	t1	t1	NOUN
ejpam-4351	44	11	<	<	X
ejpam-4351	44	12	t2	t2	PROPN
ejpam-4351	44	13	<	<	X
ejpam-4351	44	14	.	.	PUNCT
ejpam-4351	44	15	.	.	PUNCT
ejpam-4351	44	16	.	.	PUNCT
ejpam-4351	45	1	<	<	X
ejpam-4351	45	2	tj	tj	X
ejpam-4351	45	3	<	<	X
ejpam-4351	45	4	τ	τ	X
ejpam-4351	45	5	<	<	X
ejpam-4351	45	6	tj+1	tj+1	PRON
ejpam-4351	45	7	<	<	X
ejpam-4351	45	8	.	.	PUNCT
ejpam-4351	45	9	.	.	PUNCT
ejpam-4351	45	10	.	.	PUNCT
ejpam-4351	46	1	<	<	X
ejpam-4351	47	1	tr	tr	VERB
ejpam-4351	47	2	,	,	PUNCT
ejpam-4351	47	3	tr	tr	VERB
ejpam-4351	47	4	>	>	X
ejpam-4351	47	5	τ	τ	PROPN
ejpam-4351	47	6	.	.	PROPN
ejpam-4351	48	1	in	in	ADP
ejpam-4351	48	2	the	the	DET
ejpam-4351	48	3	reminder	reminder	NOUN
ejpam-4351	48	4	of	of	ADP
ejpam-4351	48	5	this	this	DET
ejpam-4351	48	6	article	article	NOUN
ejpam-4351	48	7	,	,	PUNCT
ejpam-4351	48	8	we	we	PRON
ejpam-4351	48	9	briefly	briefly	ADV
ejpam-4351	48	10	present	present	VERB
ejpam-4351	48	11	the	the	DET
ejpam-4351	48	12	notion	notion	NOUN
ejpam-4351	48	13	of	of	ADP
ejpam-4351	48	14	competing	compete	VERB
ejpam-4351	48	15	risks	risk	NOUN
ejpam-4351	48	16	for	for	ADP
ejpam-4351	48	17	the	the	DET
ejpam-4351	48	18	d.	d.	PROPN
ejpam-4351	48	19	a.	a.	PROPN
ejpam-4351	48	20	n.	n.	PROPN
ejpam-4351	48	21	njamen	njamen	PROPN
ejpam-4351	48	22	et	et	PROPN
ejpam-4351	48	23	al	al	PROPN
ejpam-4351	48	24	.	.	PUNCT
ejpam-4351	48	25	/	/	SYM
ejpam-4351	48	26	eur	eur	PROPN
ejpam-4351	48	27	.	.	PUNCT
ejpam-4351	49	1	j.	j.	PROPN
ejpam-4351	49	2	pure	pure	PROPN
ejpam-4351	49	3	appl	appl	PROPN
ejpam-4351	49	4	.	.	PROPN
ejpam-4351	49	5	math	math	PROPN
ejpam-4351	49	6	,	,	PUNCT
ejpam-4351	49	7	15	15	NUM
ejpam-4351	49	8	(	(	PUNCT
ejpam-4351	49	9	2	2	NUM
ejpam-4351	49	10	)	)	PUNCT
ejpam-4351	49	11	(	(	PUNCT
ejpam-4351	49	12	2022	2022	NUM
ejpam-4351	49	13	)	)	PUNCT
ejpam-4351	49	14	,	,	PUNCT
ejpam-4351	49	15	753	753	NUM
ejpam-4351	49	16	-	-	SYM
ejpam-4351	49	17	773	773	NUM
ejpam-4351	49	18	755	755	NUM
ejpam-4351	49	19	gompertz	gompertz	NOUN
ejpam-4351	49	20	modeling	modeling	NOUN
ejpam-4351	49	21	,	,	PUNCT
ejpam-4351	49	22	and	and	CCONJ
ejpam-4351	49	23	the	the	DET
ejpam-4351	49	24	e	e	NOUN
ejpam-4351	49	25	-	-	NOUN
ejpam-4351	49	26	bayesian	bayesian	ADJ
ejpam-4351	49	27	estimation	estimation	NOUN
ejpam-4351	49	28	of	of	ADP
ejpam-4351	49	29	the	the	DET
ejpam-4351	49	30	scale	scale	NOUN
ejpam-4351	49	31	parameter	parameter	NOUN
ejpam-4351	49	32	of	of	ADP
ejpam-4351	49	33	the	the	DET
ejpam-4351	49	34	gompertz	gompertz	NOUN
ejpam-4351	49	35	distribution	distribution	NOUN
ejpam-4351	49	36	under	under	ADP
ejpam-4351	49	37	several	several	ADJ
ejpam-4351	49	38	loss	loss	NOUN
ejpam-4351	49	39	functions	function	NOUN
ejpam-4351	49	40	.	.	PUNCT
ejpam-4351	50	1	2	2	X
ejpam-4351	50	2	.	.	X
ejpam-4351	50	3	competing	compete	VERB
ejpam-4351	50	4	risks	risk	NOUN
ejpam-4351	50	5	2.1	2.1	NUM
ejpam-4351	50	6	.	.	PUNCT
ejpam-4351	51	1	background	background	NOUN
ejpam-4351	51	2	in	in	ADP
ejpam-4351	51	3	survival	survival	NOUN
ejpam-4351	51	4	analysis	analysis	NOUN
ejpam-4351	51	5	,	,	PUNCT
ejpam-4351	51	6	a	a	DET
ejpam-4351	51	7	competing	compete	VERB
ejpam-4351	51	8	risks	risk	NOUN
ejpam-4351	51	9	situation	situation	NOUN
ejpam-4351	51	10	is	be	AUX
ejpam-4351	51	11	that	that	SCONJ
ejpam-4351	51	12	where	where	SCONJ
ejpam-4351	51	13	the	the	DET
ejpam-4351	51	14	event	event	NOUN
ejpam-4351	51	15	of	of	ADP
ejpam-4351	51	16	interest	interest	NOUN
ejpam-4351	51	17	is	be	AUX
ejpam-4351	51	18	subject	subject	ADJ
ejpam-4351	51	19	to	to	ADP
ejpam-4351	51	20	several	several	ADJ
ejpam-4351	51	21	causes	cause	NOUN
ejpam-4351	51	22	.	.	PUNCT
ejpam-4351	52	1	in	in	ADP
ejpam-4351	52	2	this	this	DET
ejpam-4351	52	3	context	context	NOUN
ejpam-4351	52	4	,	,	PUNCT
ejpam-4351	52	5	the	the	DET
ejpam-4351	52	6	event	event	NOUN
ejpam-4351	52	7	of	of	ADP
ejpam-4351	52	8	interest	interest	NOUN
ejpam-4351	52	9	has	have	AUX
ejpam-4351	52	10	been	be	AUX
ejpam-4351	52	11	modelled	model	VERB
ejpam-4351	52	12	by	by	ADP
ejpam-4351	52	13	various	various	ADJ
ejpam-4351	52	14	distributions	distribution	NOUN
ejpam-4351	52	15	such	such	ADJ
ejpam-4351	52	16	as	as	ADP
ejpam-4351	52	17	gompertz	gompertz	NOUN
ejpam-4351	52	18	distribution	distribution	NOUN
ejpam-4351	52	19	(	(	PUNCT
ejpam-4351	52	20	[	[	X
ejpam-4351	52	21	29	29	NUM
ejpam-4351	52	22	]	]	PUNCT
ejpam-4351	52	23	,	,	PUNCT
ejpam-4351	52	24	[	[	X
ejpam-4351	52	25	32	32	NUM
ejpam-4351	52	26	]	]	NUM
ejpam-4351	52	27	)	)	PUNCT
ejpam-4351	52	28	,	,	PUNCT
ejpam-4351	52	29	exponential	exponential	ADJ
ejpam-4351	52	30	distribution	distribution	NOUN
ejpam-4351	52	31	(	(	PUNCT
ejpam-4351	52	32	[	[	X
ejpam-4351	52	33	20	20	NUM
ejpam-4351	52	34	]	]	SYM
ejpam-4351	52	35	)	)	PUNCT
ejpam-4351	52	36	and	and	CCONJ
ejpam-4351	52	37	lindley	lindley	NOUN
ejpam-4351	52	38	distribution	distribution	NOUN
ejpam-4351	52	39	(	(	PUNCT
ejpam-4351	52	40	[	[	X
ejpam-4351	52	41	21	21	NUM
ejpam-4351	52	42	]	]	NUM
ejpam-4351	52	43	)	)	PUNCT
ejpam-4351	52	44	,	,	PUNCT
ejpam-4351	52	45	stochastic	stochastic	ADJ
ejpam-4351	52	46	process	process	NOUN
ejpam-4351	52	47	(	(	PUNCT
ejpam-4351	52	48	[	[	X
ejpam-4351	52	49	22	22	NUM
ejpam-4351	52	50	]	]	PUNCT
ejpam-4351	52	51	)	)	PUNCT
ejpam-4351	52	52	.	.	PUNCT
ejpam-4351	53	1	in	in	ADP
ejpam-4351	53	2	this	this	DET
ejpam-4351	53	3	paper	paper	NOUN
ejpam-4351	53	4	,	,	PUNCT
ejpam-4351	53	5	we	we	PRON
ejpam-4351	53	6	adopt	adopt	VERB
ejpam-4351	53	7	the	the	DET
ejpam-4351	53	8	same	same	ADJ
ejpam-4351	53	9	concepts	concept	NOUN
ejpam-4351	53	10	as	as	ADP
ejpam-4351	53	11	wu	wu	PROPN
ejpam-4351	53	12	et	et	PROPN
ejpam-4351	53	13	al	al	PROPN
ejpam-4351	53	14	.	.	PUNCT
ejpam-4351	54	1	[	[	X
ejpam-4351	54	2	32	32	NUM
ejpam-4351	54	3	]	]	PUNCT
ejpam-4351	54	4	and	and	CCONJ
ejpam-4351	54	5	njamen	njaman	NOUN
ejpam-4351	54	6	et	et	PROPN
ejpam-4351	54	7	al	al	PROPN
ejpam-4351	54	8	.	.	PUNCT
ejpam-4351	55	1	[	[	X
ejpam-4351	55	2	23	23	NUM
ejpam-4351	55	3	]	]	PUNCT
ejpam-4351	55	4	.	.	PUNCT
ejpam-4351	56	1	an	an	DET
ejpam-4351	56	2	examination	examination	NOUN
ejpam-4351	56	3	of	of	ADP
ejpam-4351	56	4	the	the	DET
ejpam-4351	56	5	literature	literature	NOUN
ejpam-4351	56	6	has	have	AUX
ejpam-4351	56	7	shown	show	VERB
ejpam-4351	56	8	that	that	SCONJ
ejpam-4351	56	9	for	for	ADP
ejpam-4351	56	10	a	a	DET
ejpam-4351	56	11	given	give	VERB
ejpam-4351	56	12	subject	subject	NOUN
ejpam-4351	56	13	,	,	PUNCT
ejpam-4351	56	14	at	at	ADP
ejpam-4351	56	15	most	most	ADV
ejpam-4351	56	16	one	one	NUM
ejpam-4351	56	17	event	event	NOUN
ejpam-4351	56	18	denoted	denote	VERB
ejpam-4351	56	19	by	by	ADP
ejpam-4351	56	20	δk	δk	PROPN
ejpam-4351	56	21	(	(	PUNCT
ejpam-4351	56	22	k	k	PROPN
ejpam-4351	56	23	∈	∈	PROPN
ejpam-4351	56	24	{	{	PUNCT
ejpam-4351	56	25	1	1	NUM
ejpam-4351	56	26	,	,	PUNCT
ejpam-4351	56	27	·	·	PUNCT
ejpam-4351	56	28	·	·	PUNCT
ejpam-4351	56	29	·	·	PUNCT
ejpam-4351	56	30	,	,	PUNCT
ejpam-4351	56	31	k	k	NOUN
ejpam-4351	56	32	}	}	PUNCT
ejpam-4351	56	33	)	)	PUNCT
ejpam-4351	56	34	among	among	ADP
ejpam-4351	56	35	k	k	PROPN
ejpam-4351	56	36	events	event	NOUN
ejpam-4351	56	37	will	will	AUX
ejpam-4351	56	38	be	be	AUX
ejpam-4351	56	39	observed	observe	VERB
ejpam-4351	56	40	.	.	PUNCT
ejpam-4351	57	1	if	if	SCONJ
ejpam-4351	57	2	no	no	DET
ejpam-4351	57	3	event	event	NOUN
ejpam-4351	57	4	occurs	occur	VERB
ejpam-4351	57	5	,	,	PUNCT
ejpam-4351	57	6	then	then	ADV
ejpam-4351	57	7	the	the	DET
ejpam-4351	57	8	subject	subject	NOUN
ejpam-4351	57	9	is	be	AUX
ejpam-4351	57	10	censored	censor	VERB
ejpam-4351	57	11	at	at	ADP
ejpam-4351	57	12	the	the	DET
ejpam-4351	57	13	end	end	NOUN
ejpam-4351	57	14	of	of	ADP
ejpam-4351	57	15	its	its	PRON
ejpam-4351	57	16	tracking	tracking	NOUN
ejpam-4351	57	17	(	(	PUNCT
ejpam-4351	57	18	δk	δk	ADP
ejpam-4351	57	19	=	=	NOUN
ejpam-4351	57	20	0	0	NUM
ejpam-4351	57	21	)	)	PUNCT
ejpam-4351	57	22	.	.	PUNCT
ejpam-4351	58	1	in	in	ADP
ejpam-4351	58	2	practice	practice	NOUN
ejpam-4351	58	3	,	,	PUNCT
ejpam-4351	58	4	one	one	NUM
ejpam-4351	58	5	fixes	fix	VERB
ejpam-4351	58	6	a	a	DET
ejpam-4351	58	7	single	single	ADJ
ejpam-4351	58	8	event	event	NOUN
ejpam-4351	58	9	of	of	ADP
ejpam-4351	58	10	interest	interest	NOUN
ejpam-4351	58	11	(	(	PUNCT
ejpam-4351	58	12	δk	δk	NOUN
ejpam-4351	58	13	=	=	NOUN
ejpam-4351	58	14	1	1	NUM
ejpam-4351	58	15	)	)	PUNCT
ejpam-4351	58	16	among	among	ADP
ejpam-4351	58	17	the	the	DET
ejpam-4351	58	18	possible	possible	ADJ
ejpam-4351	58	19	k.	k.	PROPN
ejpam-4351	58	20	we	we	PRON
ejpam-4351	58	21	assumed	assume	VERB
ejpam-4351	58	22	that	that	SCONJ
ejpam-4351	58	23	:	:	PUNCT
ejpam-4351	58	24	there	there	PRON
ejpam-4351	58	25	are	be	VERB
ejpam-4351	58	26	k	k	NOUN
ejpam-4351	58	27	competing	compete	VERB
ejpam-4351	58	28	independent	independent	ADJ
ejpam-4351	58	29	failure	failure	NOUN
ejpam-4351	58	30	modes	mode	NOUN
ejpam-4351	58	31	;	;	PUNCT
ejpam-4351	58	32	the	the	DET
ejpam-4351	58	33	system	system	NOUN
ejpam-4351	58	34	failure	failure	NOUN
ejpam-4351	58	35	only	only	ADV
ejpam-4351	58	36	occurs	occur	VERB
ejpam-4351	58	37	in	in	ADP
ejpam-4351	58	38	one	one	NUM
ejpam-4351	58	39	of	of	ADP
ejpam-4351	58	40	the	the	DET
ejpam-4351	58	41	competingk	competingk	ADJ
ejpam-4351	58	42	failure	failure	NOUN
ejpam-4351	58	43	modes	mode	NOUN
ejpam-4351	58	44	with	with	ADP
ejpam-4351	58	45	durations	duration	NOUN
ejpam-4351	58	46	t1	t1	PROPN
ejpam-4351	58	47	,	,	PUNCT
ejpam-4351	58	48	·	·	PUNCT
ejpam-4351	58	49	·	·	PUNCT
ejpam-4351	58	50	·	·	PUNCT
ejpam-4351	58	51	,	,	PUNCT
ejpam-4351	58	52	tk	tk	PROPN
ejpam-4351	58	53	;	;	PUNCT
ejpam-4351	58	54	the	the	DET
ejpam-4351	58	55	system	system	NOUN
ejpam-4351	58	56	failure	failure	NOUN
ejpam-4351	58	57	time	time	NOUN
ejpam-4351	58	58	is	be	AUX
ejpam-4351	58	59	t	t	NOUN
ejpam-4351	58	60	=	=	PUNCT
ejpam-4351	58	61	min{t1	min{t1	NOUN
ejpam-4351	58	62	,	,	PUNCT
ejpam-4351	58	63	·	·	PUNCT
ejpam-4351	58	64	·	·	PUNCT
ejpam-4351	58	65	·	·	PUNCT
ejpam-4351	58	66	,	,	PUNCT
ejpam-4351	58	67	tk	tk	PROPN
ejpam-4351	58	68	}	}	PUNCT
ejpam-4351	58	69	which	which	PRON
ejpam-4351	58	70	is	be	AUX
ejpam-4351	58	71	a	a	DET
ejpam-4351	58	72	latent	latent	NOUN
ejpam-4351	58	73	time	time	NOUN
ejpam-4351	58	74	;	;	PUNCT
ejpam-4351	58	75	the	the	DET
ejpam-4351	58	76	lifetime	lifetime	NOUN
ejpam-4351	58	77	of	of	ADP
ejpam-4351	58	78	the	the	DET
ejpam-4351	58	79	concurrent	concurrent	ADJ
ejpam-4351	58	80	failure	failure	NOUN
ejpam-4351	58	81	mode	mode	NOUN
ejpam-4351	58	82	k	k	PROPN
ejpam-4351	58	83	(	(	PUNCT
ejpam-4351	58	84	k	k	NOUN
ejpam-4351	58	85	=	=	SYM
ejpam-4351	58	86	1	1	NUM
ejpam-4351	58	87	,	,	PUNCT
ejpam-4351	58	88	·	·	PUNCT
ejpam-4351	58	89	·	·	PUNCT
ejpam-4351	58	90	·	·	PUNCT
ejpam-4351	58	91	,	,	PUNCT
ejpam-4351	58	92	k	k	X
ejpam-4351	58	93	)	)	PUNCT
ejpam-4351	58	94	denoted	denote	VERB
ejpam-4351	58	95	by	by	ADP
ejpam-4351	58	96	tk	tk	PROPN
ejpam-4351	58	97	,	,	PUNCT
ejpam-4351	58	98	follows	follow	VERB
ejpam-4351	58	99	a	a	DET
ejpam-4351	58	100	gompertz	gompertz	NOUN
ejpam-4351	58	101	distribution	distribution	NOUN
ejpam-4351	58	102	with	with	ADP
ejpam-4351	58	103	parameters	parameter	NOUN
ejpam-4351	58	104	αk	αk	ADV
ejpam-4351	58	105	and	and	CCONJ
ejpam-4351	58	106	βk	βk	NOUN
ejpam-4351	58	107	:	:	PUNCT
ejpam-4351	58	108	gompertz(αk	gompertz(αk	ADJ
ejpam-4351	58	109	,	,	PUNCT
ejpam-4351	58	110	βk	βk	NOUN
ejpam-4351	58	111	)	)	PUNCT
ejpam-4351	58	112	.	.	PUNCT
ejpam-4351	59	1	2.2	2.2	NUM
ejpam-4351	59	2	.	.	PUNCT
ejpam-4351	60	1	gompertz	gompertz	NOUN
ejpam-4351	60	2	distribution	distribution	NOUN
ejpam-4351	60	3	in	in	ADP
ejpam-4351	60	4	competing	compete	VERB
ejpam-4351	60	5	risks	risk	NOUN
ejpam-4351	61	1	[	[	X
ejpam-4351	61	2	14	14	NUM
ejpam-4351	61	3	]	]	PUNCT
ejpam-4351	61	4	used	use	VERB
ejpam-4351	61	5	the	the	DET
ejpam-4351	61	6	[	[	X
ejpam-4351	61	7	9	9	NUM
ejpam-4351	61	8	]	]	PUNCT
ejpam-4351	61	9	distribution	distribution	NOUN
ejpam-4351	61	10	to	to	PART
ejpam-4351	61	11	model	model	VERB
ejpam-4351	61	12	the	the	DET
ejpam-4351	61	13	cumulative	cumulative	ADJ
ejpam-4351	61	14	incidence	incidence	NOUN
ejpam-4351	61	15	function	function	NOUN
ejpam-4351	61	16	(	(	PUNCT
ejpam-4351	61	17	cif	cif	PROPN
ejpam-4351	61	18	)	)	PUNCT
ejpam-4351	61	19	associated	associate	VERB
ejpam-4351	61	20	with	with	ADP
ejpam-4351	61	21	an	an	DET
ejpam-4351	61	22	event	event	NOUN
ejpam-4351	61	23	.	.	PUNCT
ejpam-4351	62	1	this	this	DET
ejpam-4351	62	2	cif	cif	PROPN
ejpam-4351	62	3	associated	associate	VERB
ejpam-4351	62	4	with	with	ADP
ejpam-4351	62	5	an	an	DET
ejpam-4351	62	6	event	event	NOUN
ejpam-4351	62	7	of	of	ADP
ejpam-4351	62	8	type	type	NOUN
ejpam-4351	62	9	k	k	PROPN
ejpam-4351	62	10	is	be	AUX
ejpam-4351	62	11	denoted	denote	VERB
ejpam-4351	62	12	here	here	ADV
ejpam-4351	62	13	by	by	ADP
ejpam-4351	62	14	fk(t	fk(t	NOUN
ejpam-4351	62	15	,	,	PUNCT
ejpam-4351	62	16	ψk	ψk	PRON
ejpam-4351	62	17	)	)	PUNCT
ejpam-4351	62	18	,	,	PUNCT
ejpam-4351	62	19	defined	define	VERB
ejpam-4351	62	20	by	by	ADP
ejpam-4351	62	21	fk(t	fk(t	NOUN
ejpam-4351	62	22	;	;	PUNCT
ejpam-4351	62	23	ψk	ψk	X
ejpam-4351	62	24	)	)	PUNCT
ejpam-4351	62	25	=	=	SYM
ejpam-4351	62	26	1−	1−	NUM
ejpam-4351	62	27	exp	exp	NOUN
ejpam-4351	62	28	{	{	PUNCT
ejpam-4351	62	29	−βk	−βk	PROPN
ejpam-4351	62	30	αk	αk	INTJ
ejpam-4351	63	1	[	[	X
ejpam-4351	63	2	exp(αkt)−	exp(αkt)−	PROPN
ejpam-4351	63	3	1	1	NUM
ejpam-4351	63	4	]	]	PUNCT
ejpam-4351	63	5	}	}	PUNCT
ejpam-4351	63	6	,	,	PUNCT
ejpam-4351	63	7	(	(	PUNCT
ejpam-4351	63	8	1	1	X
ejpam-4351	63	9	)	)	PUNCT
ejpam-4351	63	10	with	with	ADP
ejpam-4351	63	11	ψk	ψk	NOUN
ejpam-4351	63	12	=	=	SYM
ejpam-4351	63	13	(	(	PUNCT
ejpam-4351	63	14	αk;βk	αk;βk	NUM
ejpam-4351	63	15	)	)	PUNCT
ejpam-4351	63	16	∈	∈	NOUN
ejpam-4351	63	17	r∗	r∗	VERB
ejpam-4351	63	18	×	×	PROPN
ejpam-4351	63	19	r	r	NOUN
ejpam-4351	63	20	;	;	PUNCT
ejpam-4351	63	21	αk	αk	INTJ
ejpam-4351	63	22	is	be	AUX
ejpam-4351	63	23	the	the	DET
ejpam-4351	63	24	shape	shape	NOUN
ejpam-4351	63	25	parameter	parameter	NOUN
ejpam-4351	63	26	and	and	CCONJ
ejpam-4351	63	27	βk	βk	ADP
ejpam-4351	63	28	the	the	DET
ejpam-4351	63	29	scale	scale	NOUN
ejpam-4351	63	30	parameter	parameter	NOUN
ejpam-4351	63	31	.	.	PUNCT
ejpam-4351	64	1	the	the	DET
ejpam-4351	64	2	curve	curve	NOUN
ejpam-4351	64	3	below	below	ADV
ejpam-4351	64	4	is	be	AUX
ejpam-4351	64	5	that	that	PRON
ejpam-4351	64	6	of	of	ADP
ejpam-4351	64	7	cif	cif	PROPN
ejpam-4351	64	8	.	.	PUNCT
ejpam-4351	65	1	it	it	PRON
ejpam-4351	65	2	is	be	AUX
ejpam-4351	65	3	obtained	obtain	VERB
ejpam-4351	65	4	by	by	ADP
ejpam-4351	65	5	the	the	DET
ejpam-4351	65	6	r	r	NOUN
ejpam-4351	65	7	software	software	NOUN
ejpam-4351	65	8	version	version	NOUN
ejpam-4351	65	9	r	r	NOUN
ejpam-4351	65	10	i386	i386	PROPN
ejpam-4351	65	11	3.1.3	3.1.3	NUM
ejpam-4351	65	12	downloadable	downloadable	ADJ
ejpam-4351	65	13	online	online	NOUN
ejpam-4351	65	14	.	.	PUNCT
ejpam-4351	66	1	the	the	DET
ejpam-4351	66	2	cif	cif	PROPN
ejpam-4351	66	3	is	be	AUX
ejpam-4351	66	4	a	a	DET
ejpam-4351	66	5	function	function	NOUN
ejpam-4351	66	6	defined	define	VERB
ejpam-4351	66	7	on	on	ADP
ejpam-4351	66	8	the	the	DET
ejpam-4351	66	9	interval	interval	NOUN
ejpam-4351	66	10	[	[	X
ejpam-4351	66	11	0	0	NUM
ejpam-4351	66	12	;	;	PUNCT
ejpam-4351	66	13	1	1	NUM
ejpam-4351	66	14	]	]	PUNCT
ejpam-4351	66	15	.	.	PUNCT
ejpam-4351	67	1	the	the	DET
ejpam-4351	67	2	curves	curve	NOUN
ejpam-4351	67	3	of	of	ADP
ejpam-4351	67	4	the	the	DET
ejpam-4351	67	5	distribution	distribution	NOUN
ejpam-4351	67	6	function	function	NOUN
ejpam-4351	67	7	of	of	ADP
ejpam-4351	67	8	the	the	DET
ejpam-4351	67	9	gompertz	gompertz	NOUN
ejpam-4351	67	10	distribution	distribution	NOUN
ejpam-4351	67	11	inform	inform	VERB
ejpam-4351	67	12	us	we	PRON
ejpam-4351	67	13	that	that	SCONJ
ejpam-4351	67	14	,	,	PUNCT
ejpam-4351	67	15	for	for	ADP
ejpam-4351	67	16	any	any	DET
ejpam-4351	67	17	values	value	NOUN
ejpam-4351	67	18	of	of	ADP
ejpam-4351	67	19	the	the	DET
ejpam-4351	67	20	parameters	parameter	NOUN
ejpam-4351	67	21	αk	αk	ADV
ejpam-4351	67	22	and	and	CCONJ
ejpam-4351	67	23	βk	βk	NOUN
ejpam-4351	67	24	,	,	PUNCT
ejpam-4351	67	25	the	the	DET
ejpam-4351	67	26	curves	curve	NOUN
ejpam-4351	67	27	take	take	VERB
ejpam-4351	67	28	their	their	PRON
ejpam-4351	67	29	origin	origin	NOUN
ejpam-4351	67	30	in	in	ADP
ejpam-4351	67	31	0	0	NUM
ejpam-4351	67	32	and	and	CCONJ
ejpam-4351	67	33	increase	increase	VERB
ejpam-4351	67	34	until	until	SCONJ
ejpam-4351	67	35	they	they	PRON
ejpam-4351	67	36	reach	reach	VERB
ejpam-4351	67	37	the	the	DET
ejpam-4351	67	38	value	value	NOUN
ejpam-4351	67	39	1	1	NUM
ejpam-4351	67	40	.	.	PUNCT
ejpam-4351	68	1	the	the	DET
ejpam-4351	68	2	graph	graph	NOUN
ejpam-4351	68	3	illustrates	illustrate	VERB
ejpam-4351	68	4	this	this	PRON
ejpam-4351	68	5	perfectly	perfectly	ADV
ejpam-4351	68	6	.	.	PUNCT
ejpam-4351	69	1	the	the	DET
ejpam-4351	69	2	cif	cif	PROPN
ejpam-4351	69	3	is	be	AUX
ejpam-4351	69	4	used	use	VERB
ejpam-4351	69	5	in	in	ADP
ejpam-4351	69	6	survival	survival	NOUN
ejpam-4351	69	7	data	datum	NOUN
ejpam-4351	69	8	in	in	ADP
ejpam-4351	69	9	aging	age	VERB
ejpam-4351	69	10	biology	biology	NOUN
ejpam-4351	69	11	where	where	SCONJ
ejpam-4351	69	12	αk	αk	NOUN
ejpam-4351	69	13	is	be	AUX
ejpam-4351	69	14	called	call	VERB
ejpam-4351	69	15	the	the	DET
ejpam-4351	69	16	coefficient	coefficient	NOUN
ejpam-4351	69	17	of	of	ADP
ejpam-4351	69	18	the	the	DET
ejpam-4351	69	19	age	age	NOUN
ejpam-4351	69	20	-	-	PUNCT
ejpam-4351	69	21	dependent	dependent	ADJ
ejpam-4351	69	22	mortality	mortality	NOUN
ejpam-4351	69	23	rate	rate	NOUN
ejpam-4351	69	24	,	,	PUNCT
ejpam-4351	69	25	and	and	CCONJ
ejpam-4351	69	26	βk	βk	NOUN
ejpam-4351	69	27	is	be	AUX
ejpam-4351	69	28	called	call	VERB
ejpam-4351	69	29	the	the	DET
ejpam-4351	69	30	coefficient	coefficient	NOUN
ejpam-4351	69	31	of	of	ADP
ejpam-4351	69	32	the	the	DET
ejpam-4351	69	33	death	death	NOUN
ejpam-4351	69	34	-	-	PUNCT
ejpam-4351	69	35	age	age	NOUN
ejpam-4351	69	36	-	-	PUNCT
ejpam-4351	69	37	independent	independent	ADJ
ejpam-4351	69	38	rate	rate	NOUN
ejpam-4351	69	39	(	(	PUNCT
ejpam-4351	69	40	see	see	VERB
ejpam-4351	69	41	[	[	X
ejpam-4351	69	42	31	31	NUM
ejpam-4351	69	43	]	]	PUNCT
ejpam-4351	69	44	)	)	PUNCT
ejpam-4351	69	45	.	.	PUNCT
ejpam-4351	70	1	these	these	DET
ejpam-4351	70	2	models	model	NOUN
ejpam-4351	70	3	are	be	AUX
ejpam-4351	70	4	d.	d.	PROPN
ejpam-4351	70	5	a.	a.	PROPN
ejpam-4351	70	6	n.	n.	PROPN
ejpam-4351	70	7	njamen	njamen	PROPN
ejpam-4351	70	8	et	et	PROPN
ejpam-4351	70	9	al	al	PROPN
ejpam-4351	70	10	.	.	PUNCT
ejpam-4351	70	11	/	/	SYM
ejpam-4351	70	12	eur	eur	PROPN
ejpam-4351	70	13	.	.	PUNCT
ejpam-4351	71	1	j.	j.	PROPN
ejpam-4351	71	2	pure	pure	PROPN
ejpam-4351	71	3	appl	appl	PROPN
ejpam-4351	71	4	.	.	PROPN
ejpam-4351	71	5	math	math	PROPN
ejpam-4351	71	6	,	,	PUNCT
ejpam-4351	71	7	15	15	NUM
ejpam-4351	71	8	(	(	PUNCT
ejpam-4351	71	9	2	2	NUM
ejpam-4351	71	10	)	)	PUNCT
ejpam-4351	71	11	(	(	PUNCT
ejpam-4351	71	12	2022	2022	NUM
ejpam-4351	71	13	)	)	PUNCT
ejpam-4351	71	14	,	,	PUNCT
ejpam-4351	71	15	753	753	NUM
ejpam-4351	71	16	-	-	SYM
ejpam-4351	71	17	773	773	NUM
ejpam-4351	71	18	756	756	NUM
ejpam-4351	71	19	0.0	0.0	NUM
ejpam-4351	71	20	0.5	0.5	NUM
ejpam-4351	71	21	1.0	1.0	NUM
ejpam-4351	71	22	1.5	1.5	NUM
ejpam-4351	71	23	2.0	2.0	NUM
ejpam-4351	71	24	2.5	2.5	NUM
ejpam-4351	71	25	0	0	NUM
ejpam-4351	72	1	.0	.0	NUM
ejpam-4351	72	2	0	0	NUM
ejpam-4351	73	1	.5	.5	NUM
ejpam-4351	73	2	1	1	NUM
ejpam-4351	73	3	.0	.0	NUM
ejpam-4351	73	4	1	1	NUM
ejpam-4351	73	5	.5	.5	NUM
ejpam-4351	73	6	t	t	NOUN
ejpam-4351	73	7	α	α	NOUN
ejpam-4351	73	8	=	=	SYM
ejpam-4351	73	9	1,β	1,β	NUM
ejpam-4351	73	10	=	=	SYM
ejpam-4351	73	11	1	1	NUM
ejpam-4351	73	12	α	α	NOUN
ejpam-4351	73	13	=	=	SYM
ejpam-4351	73	14	2,β	2,β	NOUN
ejpam-4351	73	15	=	=	SYM
ejpam-4351	73	16	2	2	NUM
ejpam-4351	73	17	α	α	NOUN
ejpam-4351	73	18	=	=	NOUN
ejpam-4351	73	19	0.5,β	0.5,β	NOUN
ejpam-4351	74	1	=	=	NOUN
ejpam-4351	74	2	0.5	0.5	NUM
ejpam-4351	74	3	α	α	NOUN
ejpam-4351	74	4	=	=	NOUN
ejpam-4351	74	5	0.8,β	0.8,β	NOUN
ejpam-4351	75	1	=	=	NOUN
ejpam-4351	75	2	2	2	NUM
ejpam-4351	75	3	α	α	NOUN
ejpam-4351	75	4	=	=	SYM
ejpam-4351	75	5	4.5,β	4.5,β	NOUN
ejpam-4351	75	6	=	=	SYM
ejpam-4351	75	7	0.1	0.1	NUM
ejpam-4351	75	8	figure	figure	NOUN
ejpam-4351	75	9	1	1	NUM
ejpam-4351	75	10	:	:	PUNCT
ejpam-4351	75	11	curve	curve	NOUN
ejpam-4351	75	12	of	of	ADP
ejpam-4351	75	13	the	the	DET
ejpam-4351	75	14	cif	cif	PROPN
ejpam-4351	75	15	of	of	ADP
ejpam-4351	75	16	the	the	DET
ejpam-4351	75	17	gompertz	gompertz	NOUN
ejpam-4351	75	18	distribution	distribution	NOUN
ejpam-4351	75	19	also	also	ADV
ejpam-4351	75	20	widely	widely	ADV
ejpam-4351	75	21	used	use	VERB
ejpam-4351	75	22	in	in	ADP
ejpam-4351	75	23	demography	demography	NOUN
ejpam-4351	75	24	where	where	SCONJ
ejpam-4351	75	25	they	they	PRON
ejpam-4351	75	26	make	make	VERB
ejpam-4351	75	27	it	it	PRON
ejpam-4351	75	28	possible	possible	ADJ
ejpam-4351	75	29	to	to	PART
ejpam-4351	75	30	estimate	estimate	VERB
ejpam-4351	75	31	the	the	DET
ejpam-4351	75	32	lifespans	lifespan	NOUN
ejpam-4351	75	33	of	of	ADP
ejpam-4351	75	34	populations	population	NOUN
ejpam-4351	75	35	(	(	PUNCT
ejpam-4351	75	36	[	[	X
ejpam-4351	75	37	2	2	NUM
ejpam-4351	75	38	]	]	NUM
ejpam-4351	75	39	)	)	PUNCT
ejpam-4351	75	40	.	.	PUNCT
ejpam-4351	76	1	the	the	DET
ejpam-4351	76	2	associated	associated	ADJ
ejpam-4351	76	3	density	density	NOUN
ejpam-4351	76	4	function	function	NOUN
ejpam-4351	76	5	fk	fk	INTJ
ejpam-4351	76	6	is	be	AUX
ejpam-4351	76	7	obtained	obtain	VERB
ejpam-4351	76	8	by	by	ADP
ejpam-4351	76	9	deriving	derive	VERB
ejpam-4351	76	10	the	the	DET
ejpam-4351	76	11	cif	cif	PROPN
ejpam-4351	76	12	with	with	ADP
ejpam-4351	76	13	respect	respect	NOUN
ejpam-4351	76	14	to	to	ADP
ejpam-4351	76	15	time	time	NOUN
ejpam-4351	76	16	.	.	PUNCT
ejpam-4351	77	1	one	one	PRON
ejpam-4351	77	2	has	have	VERB
ejpam-4351	77	3	:	:	PUNCT
ejpam-4351	77	4	fk(t	fk(t	NOUN
ejpam-4351	77	5	;	;	PUNCT
ejpam-4351	77	6	ψk	ψk	X
ejpam-4351	77	7	)	)	PUNCT
ejpam-4351	78	1	=	=	SYM
ejpam-4351	78	2	∂fk(t	∂fk(t	NOUN
ejpam-4351	78	3	;	;	PUNCT
ejpam-4351	78	4	ψk	ψk	X
ejpam-4351	78	5	)	)	PUNCT
ejpam-4351	78	6	∂t	∂t	PROPN
ejpam-4351	79	1	=	=	PUNCT
ejpam-4351	79	2	βk	βk	NOUN
ejpam-4351	79	3	exp(αkt	exp(αkt	NOUN
ejpam-4351	79	4	)	)	PUNCT
ejpam-4351	79	5	exp	exp	NOUN
ejpam-4351	79	6	{	{	PUNCT
ejpam-4351	79	7	−βk	−βk	PROPN
ejpam-4351	79	8	αk	αk	INTJ
ejpam-4351	80	1	[	[	X
ejpam-4351	80	2	exp(αkt)−	exp(αkt)−	PROPN
ejpam-4351	80	3	1	1	NUM
ejpam-4351	80	4	]	]	PUNCT
ejpam-4351	80	5	}	}	PUNCT
ejpam-4351	80	6	.	.	PUNCT
ejpam-4351	81	1	(	(	PUNCT
ejpam-4351	81	2	2	2	X
ejpam-4351	81	3	)	)	PUNCT
ejpam-4351	81	4	figure	figure	NOUN
ejpam-4351	81	5	2	2	NUM
ejpam-4351	81	6	below	below	ADV
ejpam-4351	81	7	is	be	AUX
ejpam-4351	81	8	the	the	DET
ejpam-4351	81	9	curve	curve	NOUN
ejpam-4351	81	10	of	of	ADP
ejpam-4351	81	11	the	the	DET
ejpam-4351	81	12	density	density	NOUN
ejpam-4351	81	13	function	function	NOUN
ejpam-4351	81	14	of	of	ADP
ejpam-4351	81	15	the	the	DET
ejpam-4351	81	16	gompertz	gompertz	NOUN
ejpam-4351	81	17	distribution	distribution	NOUN
ejpam-4351	81	18	.	.	PUNCT
ejpam-4351	82	1	it	it	PRON
ejpam-4351	82	2	is	be	AUX
ejpam-4351	82	3	obtained	obtain	VERB
ejpam-4351	82	4	by	by	ADP
ejpam-4351	82	5	the	the	DET
ejpam-4351	82	6	r	r	NOUN
ejpam-4351	82	7	software	software	NOUN
ejpam-4351	82	8	.	.	PUNCT
ejpam-4351	83	1	we	we	PRON
ejpam-4351	83	2	notice	notice	VERB
ejpam-4351	83	3	that	that	SCONJ
ejpam-4351	83	4	when	when	SCONJ
ejpam-4351	83	5	βk	βk	NOUN
ejpam-4351	83	6	tends	tend	VERB
ejpam-4351	83	7	to	to	ADP
ejpam-4351	83	8	0	0	NUM
ejpam-4351	83	9	,	,	PUNCT
ejpam-4351	83	10	we	we	PRON
ejpam-4351	83	11	obtain	obtain	VERB
ejpam-4351	83	12	the	the	DET
ejpam-4351	83	13	curve	curve	NOUN
ejpam-4351	83	14	of	of	ADP
ejpam-4351	83	15	the	the	DET
ejpam-4351	83	16	exponential	exponential	ADJ
ejpam-4351	83	17	distribution	distribution	NOUN
ejpam-4351	83	18	,	,	PUNCT
ejpam-4351	83	19	which	which	PRON
ejpam-4351	83	20	is	be	AUX
ejpam-4351	83	21	a	a	DET
ejpam-4351	83	22	particular	particular	ADJ
ejpam-4351	83	23	case	case	NOUN
ejpam-4351	83	24	of	of	ADP
ejpam-4351	83	25	the	the	DET
ejpam-4351	83	26	gompertz	gompertz	NOUN
ejpam-4351	83	27	distribution	distribution	NOUN
ejpam-4351	83	28	(	(	PUNCT
ejpam-4351	83	29	see	see	VERB
ejpam-4351	83	30	the	the	DET
ejpam-4351	83	31	curve	curve	NOUN
ejpam-4351	83	32	in	in	ADP
ejpam-4351	83	33	blue	blue	ADJ
ejpam-4351	83	34	)	)	PUNCT
ejpam-4351	83	35	.	.	PUNCT
ejpam-4351	84	1	thus	thus	ADV
ejpam-4351	84	2	,	,	PUNCT
ejpam-4351	84	3	when	when	SCONJ
ejpam-4351	84	4	βk	βk	ADP
ejpam-4351	84	5	→	→	SYM
ejpam-4351	84	6	0	0	NUM
ejpam-4351	84	7	,	,	PUNCT
ejpam-4351	84	8	the	the	DET
ejpam-4351	84	9	curve	curve	NOUN
ejpam-4351	84	10	presents	present	VERB
ejpam-4351	84	11	exponential	exponential	ADJ
ejpam-4351	84	12	distribution	distribution	NOUN
ejpam-4351	84	13	.	.	PUNCT
ejpam-4351	85	1	actually	actually	ADV
ejpam-4351	85	2	,	,	PUNCT
ejpam-4351	85	3	through	through	ADP
ejpam-4351	85	4	limit	limit	NOUN
ejpam-4351	85	5	concept	concept	NOUN
ejpam-4351	85	6	,	,	PUNCT
ejpam-4351	85	7	lim	lim	PROPN
ejpam-4351	85	8	αk→0	αk→0	PROPN
ejpam-4351	85	9	fk(t	fk(t	NOUN
ejpam-4351	85	10	,	,	PUNCT
ejpam-4351	85	11	ψk	ψk	PRON
ejpam-4351	85	12	)	)	PUNCT
ejpam-4351	85	13	=	=	PUNCT
ejpam-4351	85	14	βk	βk	ADP
ejpam-4351	85	15	exp(−tβk	exp(−tβk	NUM
ejpam-4351	85	16	)	)	PUNCT
ejpam-4351	85	17	,	,	PUNCT
ejpam-4351	85	18	for	for	ADP
ejpam-4351	85	19	t	t	PROPN
ejpam-4351	85	20	>	>	X
ejpam-4351	85	21	0	0	PROPN
ejpam-4351	85	22	.	.	PUNCT
ejpam-4351	86	1	if	if	SCONJ
ejpam-4351	86	2	we	we	PRON
ejpam-4351	86	3	fix	fix	VERB
ejpam-4351	86	4	the	the	DET
ejpam-4351	86	5	parameter	parameter	NOUN
ejpam-4351	86	6	βk	βk	NOUN
ejpam-4351	86	7	,	,	PUNCT
ejpam-4351	86	8	we	we	PRON
ejpam-4351	86	9	obtain	obtain	VERB
ejpam-4351	86	10	a	a	DET
ejpam-4351	86	11	family	family	NOUN
ejpam-4351	86	12	of	of	ADP
ejpam-4351	86	13	distributions	distribution	NOUN
ejpam-4351	86	14	indexed	index	VERB
ejpam-4351	86	15	by	by	ADP
ejpam-4351	86	16	the	the	DET
ejpam-4351	86	17	parameter	parameter	NOUN
ejpam-4351	86	18	αk	αk	INTJ
ejpam-4351	86	19	(	(	PUNCT
ejpam-4351	86	20	>	>	X
ejpam-4351	86	21	0	0	NUM
ejpam-4351	86	22	)	)	PUNCT
ejpam-4351	86	23	which	which	PRON
ejpam-4351	86	24	in	in	ADP
ejpam-4351	86	25	fact	fact	NOUN
ejpam-4351	86	26	constitutes	constitute	VERB
ejpam-4351	86	27	a	a	DET
ejpam-4351	86	28	family	family	NOUN
ejpam-4351	86	29	of	of	ADP
ejpam-4351	86	30	distributions	distribution	NOUN
ejpam-4351	86	31	at	at	ADP
ejpam-4351	86	32	risk	risk	NOUN
ejpam-4351	86	33	proportional	proportional	NOUN
ejpam-4351	86	34	.	.	PUNCT
ejpam-4351	87	1	thus	thus	ADV
ejpam-4351	87	2	,	,	PUNCT
ejpam-4351	87	3	the	the	DET
ejpam-4351	87	4	other	other	ADJ
ejpam-4351	87	5	curves	curve	NOUN
ejpam-4351	87	6	(	(	PUNCT
ejpam-4351	87	7	green	green	ADJ
ejpam-4351	87	8	,	,	PUNCT
ejpam-4351	87	9	black	black	ADJ
ejpam-4351	87	10	,	,	PUNCT
ejpam-4351	87	11	red	red	ADJ
ejpam-4351	87	12	and	and	CCONJ
ejpam-4351	87	13	pink	pink	ADJ
ejpam-4351	87	14	)	)	PUNCT
ejpam-4351	87	15	give	give	VERB
ejpam-4351	87	16	us	we	PRON
ejpam-4351	87	17	the	the	DET
ejpam-4351	87	18	basic	basic	ADJ
ejpam-4351	87	19	gompertz	gompertz	NOUN
ejpam-4351	87	20	density	density	NOUN
ejpam-4351	87	21	under	under	ADP
ejpam-4351	87	22	different	different	ADJ
ejpam-4351	87	23	parameters	parameter	NOUN
ejpam-4351	87	24	.	.	PUNCT
ejpam-4351	88	1	under	under	ADP
ejpam-4351	88	2	progressive	progressive	ADJ
ejpam-4351	88	3	type	type	NOUN
ejpam-4351	88	4	i	i	PRON
ejpam-4351	88	5	censorship	censorship	NOUN
ejpam-4351	88	6	,	,	PUNCT
ejpam-4351	88	7	we	we	PRON
ejpam-4351	88	8	consider	consider	VERB
ejpam-4351	88	9	a	a	DET
ejpam-4351	88	10	population	population	NOUN
ejpam-4351	88	11	of	of	ADP
ejpam-4351	88	12	k	k	PROPN
ejpam-4351	88	13	competing	compete	VERB
ejpam-4351	88	14	risks	risk	NOUN
ejpam-4351	88	15	.	.	PUNCT
ejpam-4351	89	1	let	let	VERB
ejpam-4351	89	2	k	k	PRON
ejpam-4351	89	3	be	be	AUX
ejpam-4351	89	4	a	a	DET
ejpam-4351	89	5	fixed	fix	VERB
ejpam-4351	89	6	constant	constant	ADJ
ejpam-4351	89	7	,	,	PUNCT
ejpam-4351	89	8	k	k	PROPN
ejpam-4351	89	9	∈	∈	PROPN
ejpam-4351	89	10	{	{	PUNCT
ejpam-4351	89	11	1	1	NUM
ejpam-4351	89	12	,	,	PUNCT
ejpam-4351	89	13	2	2	NUM
ejpam-4351	89	14	,	,	PUNCT
ejpam-4351	89	15	.	.	PUNCT
ejpam-4351	89	16	.	.	PUNCT
ejpam-4351	89	17	.	.	PUNCT
ejpam-4351	90	1	,	,	PUNCT
ejpam-4351	90	2	k	k	X
ejpam-4351	90	3	}	}	PUNCT
ejpam-4351	90	4	.	.	PUNCT
ejpam-4351	91	1	let	let	VERB
ejpam-4351	91	2	τ∗	τ∗	X
ejpam-4351	91	3	=	=	SYM
ejpam-4351	91	4	min{tr	min{tr	PROPN
ejpam-4351	91	5	,	,	PUNCT
ejpam-4351	91	6	τ	τ	X
ejpam-4351	91	7	}	}	PUNCT
ejpam-4351	91	8	and	and	CCONJ
ejpam-4351	91	9	r∗	r∗	VERB
ejpam-4351	91	10	=	=	SYM
ejpam-4351	91	11	r	r	NOUN
ejpam-4351	91	12	,	,	PUNCT
ejpam-4351	91	13	tr	tr	VERB
ejpam-4351	91	14	≤	≤	X
ejpam-4351	91	15	τ	τ	X
ejpam-4351	91	16	;	;	PUNCT
ejpam-4351	91	17	r∗	r∗	PROPN
ejpam-4351	91	18	=	=	SYM
ejpam-4351	91	19	j	j	PROPN
ejpam-4351	91	20	,	,	PUNCT
ejpam-4351	91	21	tr	tr	VERB
ejpam-4351	91	22	>	>	X
ejpam-4351	91	23	τ	τ	PROPN
ejpam-4351	91	24	where	where	SCONJ
ejpam-4351	91	25	τ∗	τ∗	PROPN
ejpam-4351	91	26	is	be	AUX
ejpam-4351	91	27	the	the	DET
ejpam-4351	91	28	final	final	ADJ
ejpam-4351	91	29	time	time	NOUN
ejpam-4351	91	30	of	of	ADP
ejpam-4351	91	31	the	the	DET
ejpam-4351	91	32	experiment	experiment	NOUN
ejpam-4351	91	33	,	,	PUNCT
ejpam-4351	91	34	r∗	r∗	VERB
ejpam-4351	91	35	the	the	DET
ejpam-4351	91	36	number	number	NOUN
ejpam-4351	91	37	of	of	ADP
ejpam-4351	91	38	failures	failure	NOUN
ejpam-4351	91	39	before	before	ADP
ejpam-4351	91	40	time	time	NOUN
ejpam-4351	91	41	τ∗.	τ∗.	VERB
ejpam-4351	91	42	the	the	DET
ejpam-4351	91	43	couples	couple	NOUN
ejpam-4351	91	44	(	(	PUNCT
ejpam-4351	91	45	t1	t1	NOUN
ejpam-4351	91	46	,	,	PUNCT
ejpam-4351	91	47	α1	α1	PROPN
ejpam-4351	91	48	)	)	PUNCT
ejpam-4351	91	49	,	,	PUNCT
ejpam-4351	91	50	·	·	PUNCT
ejpam-4351	91	51	·	·	PUNCT
ejpam-4351	91	52	·	·	PUNCT
ejpam-4351	91	53	,	,	PUNCT
ejpam-4351	91	54	(	(	PUNCT
ejpam-4351	91	55	tr∗	tr∗	NOUN
ejpam-4351	91	56	,	,	PUNCT
ejpam-4351	91	57	αr∗	αr∗	NOUN
ejpam-4351	91	58	)	)	PUNCT
ejpam-4351	91	59	are	be	AUX
ejpam-4351	91	60	the	the	DET
ejpam-4351	91	61	observed	observe	VERB
ejpam-4351	91	62	failure	failure	NOUN
ejpam-4351	91	63	data	datum	NOUN
ejpam-4351	91	64	,	,	PUNCT
ejpam-4351	91	65	where	where	SCONJ
ejpam-4351	91	66	t1	t1	NOUN
ejpam-4351	91	67	,	,	PUNCT
ejpam-4351	91	68	t2	t2	NOUN
ejpam-4351	91	69	,	,	PUNCT
ejpam-4351	91	70	.	.	PUNCT
ejpam-4351	91	71	.	.	PUNCT
ejpam-4351	91	72	.	.	PUNCT
ejpam-4351	92	1	,	,	PUNCT
ejpam-4351	92	2	tr∗	tr∗	NOUN
ejpam-4351	92	3	are	be	AUX
ejpam-4351	92	4	the	the	DET
ejpam-4351	92	5	failure	failure	NOUN
ejpam-4351	92	6	times	time	NOUN
ejpam-4351	92	7	in	in	ADP
ejpam-4351	92	8	statistical	statistical	ADJ
ejpam-4351	92	9	order	order	NOUN
ejpam-4351	92	10	and	and	CCONJ
ejpam-4351	92	11	αi	αi	NOUN
ejpam-4351	92	12	takes	take	VERB
ejpam-4351	92	13	any	any	DET
ejpam-4351	92	14	integer	integer	NOUN
ejpam-4351	92	15	in	in	ADP
ejpam-4351	92	16	the	the	DET
ejpam-4351	92	17	set	set	NOUN
ejpam-4351	92	18	d.	d.	PROPN
ejpam-4351	92	19	a.	a.	PROPN
ejpam-4351	92	20	n.	n.	PROPN
ejpam-4351	92	21	njamen	njamen	PROPN
ejpam-4351	92	22	et	et	PROPN
ejpam-4351	92	23	al	al	PROPN
ejpam-4351	92	24	.	.	PUNCT
ejpam-4351	92	25	/	/	SYM
ejpam-4351	92	26	eur	eur	PROPN
ejpam-4351	92	27	.	.	PUNCT
ejpam-4351	93	1	j.	j.	PROPN
ejpam-4351	93	2	pure	pure	PROPN
ejpam-4351	93	3	appl	appl	PROPN
ejpam-4351	93	4	.	.	PROPN
ejpam-4351	93	5	math	math	PROPN
ejpam-4351	93	6	,	,	PUNCT
ejpam-4351	93	7	15	15	NUM
ejpam-4351	93	8	(	(	PUNCT
ejpam-4351	93	9	2	2	NUM
ejpam-4351	93	10	)	)	PUNCT
ejpam-4351	93	11	(	(	PUNCT
ejpam-4351	93	12	2022	2022	NUM
ejpam-4351	93	13	)	)	PUNCT
ejpam-4351	93	14	,	,	PUNCT
ejpam-4351	93	15	753	753	NUM
ejpam-4351	93	16	-	-	SYM
ejpam-4351	93	17	773	773	NUM
ejpam-4351	93	18	757	757	NUM
ejpam-4351	93	19	0.0	0.0	NUM
ejpam-4351	93	20	0.5	0.5	NUM
ejpam-4351	93	21	1.0	1.0	NUM
ejpam-4351	93	22	1.5	1.5	NUM
ejpam-4351	93	23	2.0	2.0	NUM
ejpam-4351	93	24	2.5	2.5	NUM
ejpam-4351	93	25	0	0	NUM
ejpam-4351	94	1	.0	.0	NUM
ejpam-4351	94	2	0	0	NUM
ejpam-4351	95	1	.5	.5	NUM
ejpam-4351	95	2	1	1	NUM
ejpam-4351	95	3	.0	.0	NUM
ejpam-4351	95	4	1	1	NUM
ejpam-4351	95	5	.5	.5	NUM
ejpam-4351	95	6	2	2	NUM
ejpam-4351	95	7	.0	.0	NUM
ejpam-4351	95	8	t	t	NOUN
ejpam-4351	95	9	α	α	NOUN
ejpam-4351	95	10	=	=	SYM
ejpam-4351	95	11	1,β	1,β	NUM
ejpam-4351	95	12	=	=	SYM
ejpam-4351	95	13	1	1	NUM
ejpam-4351	95	14	α	α	NOUN
ejpam-4351	95	15	=	=	SYM
ejpam-4351	95	16	2,β	2,β	NOUN
ejpam-4351	95	17	=	=	SYM
ejpam-4351	95	18	2	2	NUM
ejpam-4351	95	19	α	α	NOUN
ejpam-4351	95	20	=	=	NOUN
ejpam-4351	95	21	0.5,β	0.5,β	NOUN
ejpam-4351	96	1	=	=	NOUN
ejpam-4351	96	2	0.5	0.5	NUM
ejpam-4351	96	3	α	α	NOUN
ejpam-4351	96	4	=	=	NOUN
ejpam-4351	96	5	0.8,β	0.8,β	NOUN
ejpam-4351	97	1	=	=	NOUN
ejpam-4351	97	2	2	2	NUM
ejpam-4351	97	3	α	α	NOUN
ejpam-4351	97	4	=	=	SYM
ejpam-4351	97	5	4.5,β	4.5,β	NOUN
ejpam-4351	97	6	=	=	SYM
ejpam-4351	97	7	0.1	0.1	NUM
ejpam-4351	97	8	figure	figure	NOUN
ejpam-4351	97	9	2	2	NUM
ejpam-4351	97	10	:	:	PUNCT
ejpam-4351	97	11	curve	curve	NOUN
ejpam-4351	97	12	of	of	ADP
ejpam-4351	97	13	the	the	DET
ejpam-4351	97	14	density	density	NOUN
ejpam-4351	97	15	function	function	NOUN
ejpam-4351	97	16	of	of	ADP
ejpam-4351	97	17	the	the	DET
ejpam-4351	97	18	gompertz	gompertz	NOUN
ejpam-4351	97	19	distribution	distribution	NOUN
ejpam-4351	97	20	{	{	PUNCT
ejpam-4351	97	21	1	1	NUM
ejpam-4351	97	22	,	,	PUNCT
ejpam-4351	97	23	·	·	PUNCT
ejpam-4351	97	24	·	·	PUNCT
ejpam-4351	97	25	·	·	PUNCT
ejpam-4351	97	26	,	,	PUNCT
ejpam-4351	97	27	k	k	NOUN
ejpam-4351	97	28	}	}	PUNCT
ejpam-4351	97	29	.	.	PUNCT
ejpam-4351	98	1	note	note	VERB
ejpam-4351	98	2	that	that	SCONJ
ejpam-4351	98	3	αi	αi	VERB
ejpam-4351	99	1	=	=	SYM
ejpam-4351	99	2	k	k	X
ejpam-4351	99	3	(	(	PUNCT
ejpam-4351	99	4	k	k	NOUN
ejpam-4351	99	5	=	=	SYM
ejpam-4351	99	6	1	1	NUM
ejpam-4351	99	7	,	,	PUNCT
ejpam-4351	99	8	2	2	NUM
ejpam-4351	99	9	,	,	PUNCT
ejpam-4351	99	10	.	.	PUNCT
ejpam-4351	99	11	.	.	PUNCT
ejpam-4351	99	12	.	.	PUNCT
ejpam-4351	100	1	,	,	PUNCT
ejpam-4351	100	2	k	k	X
ejpam-4351	100	3	)	)	PUNCT
ejpam-4351	100	4	indicates	indicate	VERB
ejpam-4351	100	5	the	the	DET
ejpam-4351	100	6	failure	failure	NOUN
ejpam-4351	100	7	mode	mode	NOUN
ejpam-4351	100	8	caused	cause	VERB
ejpam-4351	100	9	by	by	ADP
ejpam-4351	100	10	the	the	DET
ejpam-4351	100	11	kth	kth	PROPN
ejpam-4351	100	12	event	event	NOUN
ejpam-4351	100	13	.	.	PUNCT
ejpam-4351	101	1	let	let	VERB
ejpam-4351	101	2	δk(αi	δk(αi	VERB
ejpam-4351	101	3	)	)	PUNCT
ejpam-4351	102	1	=	=	PRON
ejpam-4351	102	2	{	{	PUNCT
ejpam-4351	102	3	1	1	NUM
ejpam-4351	102	4	if	if	SCONJ
ejpam-4351	102	5	αi	αi	VERB
ejpam-4351	103	1	=	=	PUNCT
ejpam-4351	103	2	k	k	NOUN
ejpam-4351	103	3	0	0	PUNCT
ejpam-4351	104	1	if	if	SCONJ
ejpam-4351	104	2	αi	αi	PRON
ejpam-4351	104	3	̸=	̸=	PROPN
ejpam-4351	104	4	k	k	PROPN
ejpam-4351	104	5	,	,	PUNCT
ejpam-4351	104	6	and	and	CCONJ
ejpam-4351	104	7	nk	nk	PROPN
ejpam-4351	104	8	=	=	PROPN
ejpam-4351	104	9	∑r∗	∑r∗	PROPN
ejpam-4351	104	10	i=1	i=1	PROPN
ejpam-4351	104	11	δk(αi	δk(αi	NOUN
ejpam-4351	104	12	)	)	PUNCT
ejpam-4351	104	13	≥	≥	NOUN
ejpam-4351	104	14	0	0	NUM
ejpam-4351	105	1	the	the	DET
ejpam-4351	105	2	total	total	ADJ
ejpam-4351	105	3	number	number	NOUN
ejpam-4351	105	4	of	of	ADP
ejpam-4351	105	5	failures	failure	NOUN
ejpam-4351	105	6	caused	cause	VERB
ejpam-4351	105	7	by	by	ADP
ejpam-4351	105	8	the	the	DET
ejpam-4351	105	9	kth	kth	PROPN
ejpam-4351	105	10	event	event	NOUN
ejpam-4351	105	11	.	.	PUNCT
ejpam-4351	106	1	under	under	ADP
ejpam-4351	106	2	type	type	NOUN
ejpam-4351	106	3	i	i	PRON
ejpam-4351	106	4	progressive	progressive	ADJ
ejpam-4351	106	5	censorship	censorship	NOUN
ejpam-4351	106	6	as	as	SCONJ
ejpam-4351	106	7	defined	define	VERB
ejpam-4351	106	8	in	in	ADP
ejpam-4351	106	9	the	the	DET
ejpam-4351	106	10	introduction	introduction	NOUN
ejpam-4351	106	11	,	,	PUNCT
ejpam-4351	106	12	the	the	DET
ejpam-4351	106	13	likelihood	likelihood	NOUN
ejpam-4351	106	14	function	function	NOUN
ejpam-4351	106	15	is	be	AUX
ejpam-4351	106	16	given	give	VERB
ejpam-4351	106	17	for	for	ADP
ejpam-4351	106	18	all	all	DET
ejpam-4351	106	19	t	t	NOUN
ejpam-4351	106	20	=	=	SYM
ejpam-4351	106	21	(	(	PUNCT
ejpam-4351	106	22	t1	t1	NOUN
ejpam-4351	106	23	,	,	PUNCT
ejpam-4351	106	24	t2	t2	NOUN
ejpam-4351	106	25	,	,	PUNCT
ejpam-4351	106	26	.	.	PUNCT
ejpam-4351	106	27	.	.	PUNCT
ejpam-4351	106	28	.	.	PUNCT
ejpam-4351	107	1	,	,	PUNCT
ejpam-4351	107	2	tr∗	tr∗	PROPN
ejpam-4351	107	3	)	)	PUNCT
ejpam-4351	107	4	by	by	ADP
ejpam-4351	107	5	:	:	PUNCT
ejpam-4351	107	6	lk(t|αk	lk(t|αk	PROPN
ejpam-4351	107	7	,	,	PUNCT
ejpam-4351	107	8	βk	βk	NOUN
ejpam-4351	107	9	)	)	PUNCT
ejpam-4351	107	10	∝	∝	PROPN
ejpam-4351	108	1	k∏	k∏	INTJ
ejpam-4351	108	2	k=1	k=1	X
ejpam-4351	109	1	[	[	PUNCT
ejpam-4351	109	2	r∗∏	r∗∏	NOUN
ejpam-4351	109	3	i=1	i=1	PROPN
ejpam-4351	109	4	fk(ti	fk(ti	PROPN
ejpam-4351	109	5	)	)	PUNCT
ejpam-4351	109	6	δk(αi)[1−	δk(αi)[1−	PART
ejpam-4351	109	7	fk(ti	fk(ti	NOUN
ejpam-4351	109	8	)	)	PUNCT
ejpam-4351	109	9	]	]	PUNCT
ejpam-4351	110	1	1−δk(αi)[1−	1−δk(αi)[1−	NUM
ejpam-4351	110	2	fk(ti	fk(ti	NOUN
ejpam-4351	110	3	)	)	PUNCT
ejpam-4351	110	4	]	]	PUNCT
ejpam-4351	110	5	ri	ri	PROPN
ejpam-4351	111	1	[	[	X
ejpam-4351	111	2	1−	1−	NUM
ejpam-4351	111	3	fk(τ	fk(τ	NUM
ejpam-4351	111	4	∗)]n−r∗−	∗)]n−r∗−	NUM
ejpam-4351	111	5	∑r∗	∑r∗	X
ejpam-4351	111	6	i=1	i=1	PROPN
ejpam-4351	112	1	ri	ri	PROPN
ejpam-4351	112	2	]	]	PUNCT
ejpam-4351	112	3	,	,	PUNCT
ejpam-4351	112	4	(	(	PUNCT
ejpam-4351	112	5	3	3	X
ejpam-4351	112	6	)	)	PUNCT
ejpam-4351	112	7	where	where	SCONJ
ejpam-4351	112	8	ri	ri	PROPN
ejpam-4351	112	9	is	be	AUX
ejpam-4351	112	10	the	the	DET
ejpam-4351	112	11	ith	ith	PROPN
ejpam-4351	112	12	remainder	remainder	NOUN
ejpam-4351	112	13	in	in	ADP
ejpam-4351	112	14	the	the	DET
ejpam-4351	112	15	random	random	ADJ
ejpam-4351	112	16	variables	variable	NOUN
ejpam-4351	112	17	.	.	PUNCT
ejpam-4351	113	1	after	after	ADP
ejpam-4351	113	2	calculation	calculation	NOUN
ejpam-4351	113	3	(	(	PUNCT
ejpam-4351	113	4	see	see	VERB
ejpam-4351	113	5	[	[	X
ejpam-4351	113	6	23	23	NUM
ejpam-4351	113	7	]	]	NUM
ejpam-4351	113	8	)	)	PUNCT
ejpam-4351	113	9	,	,	PUNCT
ejpam-4351	113	10	the	the	DET
ejpam-4351	113	11	likelihood	likelihood	NOUN
ejpam-4351	113	12	function	function	NOUN
ejpam-4351	113	13	is	be	AUX
ejpam-4351	113	14	obtained	obtain	VERB
ejpam-4351	113	15	from	from	ADP
ejpam-4351	113	16	(	(	PUNCT
ejpam-4351	113	17	2	2	NUM
ejpam-4351	113	18	)	)	PUNCT
ejpam-4351	113	19	as	as	ADP
ejpam-4351	113	20	:	:	PUNCT
ejpam-4351	113	21	lk(t|αk	lk(t|αk	PROPN
ejpam-4351	113	22	,	,	PUNCT
ejpam-4351	113	23	βk	βk	NOUN
ejpam-4351	113	24	)	)	PUNCT
ejpam-4351	113	25	=	=	PUNCT
ejpam-4351	114	1	k∏	k∏	NOUN
ejpam-4351	114	2	k=1	k=1	X
ejpam-4351	115	1	[	[	PUNCT
ejpam-4351	115	2	βnk	βnk	NOUN
ejpam-4351	115	3	k	k	PROPN
ejpam-4351	115	4	exp	exp	NOUN
ejpam-4351	115	5	{	{	PUNCT
ejpam-4351	115	6	αk	αk	ADP
ejpam-4351	115	7	r∗∑	r∗∑	NOUN
ejpam-4351	115	8	i=1	i=1	PROPN
ejpam-4351	115	9	δk(αi)ti	δk(αi)ti	PROPN
ejpam-4351	115	10	−	−	PROPN
ejpam-4351	115	11	(	(	PUNCT
ejpam-4351	115	12	βk	βk	NOUN
ejpam-4351	115	13	αk	αk	NOUN
ejpam-4351	115	14	)	)	PUNCT
ejpam-4351	115	15	×ak	×ak	PROPN
ejpam-4351	115	16	}	}	PUNCT
ejpam-4351	115	17	]	]	PUNCT
ejpam-4351	115	18	,	,	PUNCT
ejpam-4351	115	19	(	(	PUNCT
ejpam-4351	115	20	4	4	X
ejpam-4351	115	21	)	)	PUNCT
ejpam-4351	115	22	with	with	ADP
ejpam-4351	115	23	ak	ak	PROPN
ejpam-4351	115	24	=	=	PUNCT
ejpam-4351	115	25	r∗∑	r∗∑	NOUN
ejpam-4351	115	26	i=1	i=1	PROPN
ejpam-4351	115	27	(	(	PUNCT
ejpam-4351	115	28	ri	ri	NOUN
ejpam-4351	115	29	+	+	CCONJ
ejpam-4351	115	30	1	1	NUM
ejpam-4351	115	31	)	)	PUNCT
ejpam-4351	115	32	(	(	PUNCT
ejpam-4351	115	33	eαkti	eαkti	ADV
ejpam-4351	115	34	−	−	NUM
ejpam-4351	115	35	1	1	NUM
ejpam-4351	115	36	)	)	PUNCT
ejpam-4351	115	37	+	+	CCONJ
ejpam-4351	115	38	(	(	PUNCT
ejpam-4351	115	39	n−r∗	n−r∗	ADJ
ejpam-4351	115	40	−	−	PROPN
ejpam-4351	115	41	r∗∑	r∗∑	NOUN
ejpam-4351	115	42	i=1	i=1	PROPN
ejpam-4351	115	43	ri	ri	PROPN
ejpam-4351	115	44	)	)	PUNCT
ejpam-4351	115	45	(	(	PUNCT
ejpam-4351	115	46	eαkr	eαkr	ADV
ejpam-4351	115	47	∗	∗	VERB
ejpam-4351	115	48	−	−	PROPN
ejpam-4351	115	49	1	1	NUM
ejpam-4351	115	50	)	)	PUNCT
ejpam-4351	115	51	and	and	CCONJ
ejpam-4351	115	52	αk	αk	INTJ
ejpam-4351	115	53	>	>	X
ejpam-4351	115	54	0	0	X
ejpam-4351	115	55	.	.	PUNCT
ejpam-4351	115	56	d.	d.	PROPN
ejpam-4351	115	57	a.	a.	PROPN
ejpam-4351	115	58	n.	n.	PROPN
ejpam-4351	115	59	njamen	njamen	PROPN
ejpam-4351	115	60	et	et	PROPN
ejpam-4351	115	61	al	al	PROPN
ejpam-4351	115	62	.	.	PUNCT
ejpam-4351	115	63	/	/	SYM
ejpam-4351	115	64	eur	eur	PROPN
ejpam-4351	115	65	.	.	PUNCT
ejpam-4351	116	1	j.	j.	PROPN
ejpam-4351	116	2	pure	pure	PROPN
ejpam-4351	116	3	appl	appl	PROPN
ejpam-4351	116	4	.	.	PROPN
ejpam-4351	116	5	math	math	PROPN
ejpam-4351	116	6	,	,	PUNCT
ejpam-4351	116	7	15	15	NUM
ejpam-4351	116	8	(	(	PUNCT
ejpam-4351	116	9	2	2	NUM
ejpam-4351	116	10	)	)	PUNCT
ejpam-4351	116	11	(	(	PUNCT
ejpam-4351	116	12	2022	2022	NUM
ejpam-4351	116	13	)	)	PUNCT
ejpam-4351	116	14	,	,	PUNCT
ejpam-4351	116	15	753	753	NUM
ejpam-4351	116	16	-	-	SYM
ejpam-4351	116	17	773	773	NUM
ejpam-4351	116	18	758	758	NUM
ejpam-4351	116	19	in	in	ADP
ejpam-4351	116	20	addition	addition	NOUN
ejpam-4351	116	21	to	to	ADP
ejpam-4351	116	22	the	the	DET
ejpam-4351	116	23	distribution	distribution	NOUN
ejpam-4351	116	24	of	of	ADP
ejpam-4351	116	25	[	[	X
ejpam-4351	116	26	9	9	NUM
ejpam-4351	116	27	]	]	PUNCT
ejpam-4351	116	28	,	,	PUNCT
ejpam-4351	116	29	we	we	PRON
ejpam-4351	116	30	consider	consider	VERB
ejpam-4351	116	31	the	the	DET
ejpam-4351	116	32	gamma	gamma	NOUN
ejpam-4351	116	33	distribution	distribution	NOUN
ejpam-4351	116	34	with	with	ADP
ejpam-4351	116	35	parameters	parameter	NOUN
ejpam-4351	116	36	a	a	DET
ejpam-4351	116	37	>	>	X
ejpam-4351	116	38	0	0	NUM
ejpam-4351	116	39	and	and	CCONJ
ejpam-4351	116	40	b	b	X
ejpam-4351	116	41	>	>	X
ejpam-4351	116	42	0	0	PROPN
ejpam-4351	116	43	,	,	PUNCT
ejpam-4351	116	44	whose	whose	DET
ejpam-4351	116	45	density	density	NOUN
ejpam-4351	116	46	function	function	VERB
ejpam-4351	116	47	π	π	PROPN
ejpam-4351	116	48	is	be	AUX
ejpam-4351	116	49	defined	define	VERB
ejpam-4351	116	50	for	for	ADP
ejpam-4351	116	51	all	all	DET
ejpam-4351	116	52	x	x	SYM
ejpam-4351	116	53	∈	∈	NOUN
ejpam-4351	116	54	r	r	NOUN
ejpam-4351	116	55	by	by	ADP
ejpam-4351	116	56	:	:	PUNCT
ejpam-4351	116	57	π(x	π(x	ADP
ejpam-4351	116	58	;	;	PUNCT
ejpam-4351	116	59	a	a	DET
ejpam-4351	116	60	,	,	PUNCT
ejpam-4351	116	61	b	b	NOUN
ejpam-4351	116	62	)	)	PUNCT
ejpam-4351	116	63	=	=	SYM
ejpam-4351	116	64	ba	ba	PROPN
ejpam-4351	116	65	γ(k	γ(k	PROPN
ejpam-4351	116	66	)	)	PUNCT
ejpam-4351	117	1	xa−1	xa−1	PROPN
ejpam-4351	117	2	exp(−bx)i(x	exp(−bx)i(x	PROPN
ejpam-4351	117	3	>	>	X
ejpam-4351	117	4	0	0	NUM
ejpam-4351	117	5	)	)	PUNCT
ejpam-4351	117	6	,	,	PUNCT
ejpam-4351	117	7	(	(	PUNCT
ejpam-4351	117	8	5	5	X
ejpam-4351	117	9	)	)	PUNCT
ejpam-4351	117	10	where	where	SCONJ
ejpam-4351	117	11	γ	γ	PROPN
ejpam-4351	117	12	is	be	AUX
ejpam-4351	117	13	the	the	DET
ejpam-4351	117	14	gamma	gamma	NOUN
ejpam-4351	117	15	function	function	NOUN
ejpam-4351	117	16	defined	define	VERB
ejpam-4351	117	17	for	for	ADP
ejpam-4351	117	18	all	all	DET
ejpam-4351	117	19	a	a	DET
ejpam-4351	117	20	>	>	X
ejpam-4351	117	21	0	0	NUM
ejpam-4351	117	22	by	by	ADP
ejpam-4351	117	23	:	:	PUNCT
ejpam-4351	117	24	γ(a	γ(a	X
ejpam-4351	117	25	)	)	PUNCT
ejpam-4351	117	26	=	=	SYM
ejpam-4351	118	1	∫	∫	PROPN
ejpam-4351	119	1	∞	∞	PROPN
ejpam-4351	119	2	0	0	PROPN
ejpam-4351	119	3	e−xxa−1dx	e−xxa−1dx	PROPN
ejpam-4351	119	4	.	.	PUNCT
ejpam-4351	120	1	(	(	PUNCT
ejpam-4351	120	2	6	6	X
ejpam-4351	120	3	)	)	PUNCT
ejpam-4351	120	4	it	it	PRON
ejpam-4351	120	5	is	be	AUX
ejpam-4351	120	6	easy	easy	ADJ
ejpam-4351	120	7	to	to	PART
ejpam-4351	120	8	check	check	VERB
ejpam-4351	120	9	that	that	PRON
ejpam-4351	120	10	for	for	ADP
ejpam-4351	120	11	all	all	DET
ejpam-4351	120	12	a	a	DET
ejpam-4351	120	13	>	>	X
ejpam-4351	120	14	0	0	NUM
ejpam-4351	120	15	,	,	PUNCT
ejpam-4351	120	16	γ(a+	γ(a+	NOUN
ejpam-4351	120	17	1	1	NUM
ejpam-4351	120	18	)	)	PUNCT
ejpam-4351	120	19	=	=	NOUN
ejpam-4351	120	20	aγ(a	aγ(a	NOUN
ejpam-4351	120	21	)	)	PUNCT
ejpam-4351	120	22	,	,	PUNCT
ejpam-4351	120	23	and	and	CCONJ
ejpam-4351	120	24	in	in	ADP
ejpam-4351	120	25	particular	particular	ADJ
ejpam-4351	120	26	for	for	ADP
ejpam-4351	120	27	an	an	DET
ejpam-4351	120	28	integer	integer	NOUN
ejpam-4351	120	29	a	a	PRON
ejpam-4351	120	30	,	,	PUNCT
ejpam-4351	120	31	γ(a	γ(a	PROPN
ejpam-4351	120	32	)	)	PUNCT
ejpam-4351	120	33	=	=	PUNCT
ejpam-4351	120	34	(	(	PUNCT
ejpam-4351	120	35	a−	a−	PROPN
ejpam-4351	120	36	1	1	NUM
ejpam-4351	120	37	)	)	PUNCT
ejpam-4351	120	38	!	!	PUNCT
ejpam-4351	120	39	.	.	PUNCT
ejpam-4351	121	1	by	by	ADP
ejpam-4351	121	2	convention	convention	NOUN
ejpam-4351	121	3	,	,	PUNCT
ejpam-4351	121	4	γ(12	γ(12	ADJ
ejpam-4351	121	5	)	)	PUNCT
ejpam-4351	121	6	=	=	PUNCT
ejpam-4351	121	7	√	√	NUM
ejpam-4351	121	8	π	π	X
ejpam-4351	121	9	.	.	PUNCT
ejpam-4351	122	1	we	we	PRON
ejpam-4351	122	2	also	also	ADV
ejpam-4351	122	3	consider	consider	VERB
ejpam-4351	122	4	the	the	DET
ejpam-4351	122	5	beta	beta	ADJ
ejpam-4351	122	6	density	density	NOUN
ejpam-4351	122	7	function	function	NOUN
ejpam-4351	122	8	of	of	ADP
ejpam-4351	122	9	parameters	parameter	NOUN
ejpam-4351	122	10	u	u	NOUN
ejpam-4351	122	11	>	>	X
ejpam-4351	122	12	0	0	PUNCT
ejpam-4351	122	13	and	and	CCONJ
ejpam-4351	122	14	v	v	ADP
ejpam-4351	122	15	>	>	X
ejpam-4351	122	16	0	0	NUM
ejpam-4351	122	17	,	,	PUNCT
ejpam-4351	122	18	defined	define	VERB
ejpam-4351	122	19	for	for	ADP
ejpam-4351	122	20	x	x	SYM
ejpam-4351	122	21	∈	∈	PROPN
ejpam-4351	122	22	r	r	NOUN
ejpam-4351	122	23	by	by	ADP
ejpam-4351	122	24	:	:	PUNCT
ejpam-4351	123	1	xu−1(1−	xu−1(1−	PROPN
ejpam-4351	123	2	x)v−1	x)v−1	PROPN
ejpam-4351	123	3	b(u	b(u	PROPN
ejpam-4351	123	4	,	,	PUNCT
ejpam-4351	123	5	v	v	NOUN
ejpam-4351	123	6	)	)	PUNCT
ejpam-4351	123	7	i(0	i(0	PROPN
ejpam-4351	123	8	≤	≤	PROPN
ejpam-4351	123	9	x	x	PUNCT
ejpam-4351	123	10	≤	≤	NUM
ejpam-4351	123	11	1	1	NUM
ejpam-4351	123	12	)	)	PUNCT
ejpam-4351	123	13	,	,	PUNCT
ejpam-4351	123	14	where	where	SCONJ
ejpam-4351	123	15	for	for	ADP
ejpam-4351	123	16	u	u	PROPN
ejpam-4351	123	17	>	>	X
ejpam-4351	123	18	0	0	PUNCT
ejpam-4351	123	19	and	and	CCONJ
ejpam-4351	123	20	v	v	ADP
ejpam-4351	123	21	>	>	SYM
ejpam-4351	123	22	0	0	NUM
ejpam-4351	123	23	,	,	PUNCT
ejpam-4351	123	24	b(u	b(u	PROPN
ejpam-4351	123	25	,	,	PUNCT
ejpam-4351	123	26	v	v	NOUN
ejpam-4351	123	27	)	)	PUNCT
ejpam-4351	123	28	=	=	SYM
ejpam-4351	123	29	∫	∫	PROPN
ejpam-4351	124	1	1	1	NUM
ejpam-4351	124	2	0	0	NUM
ejpam-4351	124	3	tu−1(1−	tu−1(1−	PROPN
ejpam-4351	124	4	t)v−1dt	t)v−1dt	PROPN
ejpam-4351	124	5	(	(	PUNCT
ejpam-4351	124	6	i	i	NOUN
ejpam-4351	124	7	)	)	PUNCT
ejpam-4351	124	8	one	one	NUM
ejpam-4351	124	9	easily	easily	ADV
ejpam-4351	124	10	shows	show	VERB
ejpam-4351	124	11	that	that	SCONJ
ejpam-4351	124	12	for	for	ADP
ejpam-4351	124	13	all	all	DET
ejpam-4351	124	14	x	x	SYM
ejpam-4351	124	15	>	>	PUNCT
ejpam-4351	124	16	0	0	PUNCT
ejpam-4351	124	17	and	and	CCONJ
ejpam-4351	124	18	y	y	PROPN
ejpam-4351	124	19	>	>	X
ejpam-4351	124	20	0	0	NUM
ejpam-4351	124	21	,	,	PUNCT
ejpam-4351	124	22	b(x	b(x	NOUN
ejpam-4351	124	23	,	,	PUNCT
ejpam-4351	124	24	y	y	PROPN
ejpam-4351	124	25	+	+	NOUN
ejpam-4351	124	26	1	1	X
ejpam-4351	124	27	)	)	PUNCT
ejpam-4351	124	28	=	=	SYM
ejpam-4351	125	1	y	y	PROPN
ejpam-4351	125	2	x+	x+	X
ejpam-4351	125	3	y	y	PROPN
ejpam-4351	125	4	b(x	b(x	PROPN
ejpam-4351	125	5	,	,	PUNCT
ejpam-4351	125	6	y	y	NOUN
ejpam-4351	125	7	)	)	PUNCT
ejpam-4351	125	8	(	(	PUNCT
ejpam-4351	125	9	ii	ii	NOUN
ejpam-4351	125	10	)	)	PUNCT
ejpam-4351	125	11	and	and	CCONJ
ejpam-4351	125	12	b(x	b(x	NOUN
ejpam-4351	125	13	,	,	PUNCT
ejpam-4351	125	14	y	y	NOUN
ejpam-4351	125	15	)	)	PUNCT
ejpam-4351	125	16	=	=	SYM
ejpam-4351	125	17	γ(x)γ(y	γ(x)γ(y	NOUN
ejpam-4351	125	18	)	)	PUNCT
ejpam-4351	125	19	γ(x	γ(x	PROPN
ejpam-4351	125	20	,	,	PUNCT
ejpam-4351	125	21	y	y	NOUN
ejpam-4351	125	22	)	)	PUNCT
ejpam-4351	125	23	=	=	SYM
ejpam-4351	125	24	b(y	b(y	PROPN
ejpam-4351	125	25	,	,	PUNCT
ejpam-4351	125	26	x	x	NOUN
ejpam-4351	125	27	)	)	PUNCT
ejpam-4351	125	28	.	.	PUNCT
ejpam-4351	126	1	(	(	PUNCT
ejpam-4351	126	2	iii	iii	X
ejpam-4351	126	3	)	)	PUNCT
ejpam-4351	126	4	bayesian	bayesian	NOUN
ejpam-4351	126	5	estimation	estimation	NOUN
ejpam-4351	126	6	has	have	AUX
ejpam-4351	126	7	received	receive	VERB
ejpam-4351	126	8	great	great	ADJ
ejpam-4351	126	9	attention	attention	NOUN
ejpam-4351	126	10	by	by	ADP
ejpam-4351	126	11	the	the	DET
ejpam-4351	126	12	researchers	researcher	NOUN
ejpam-4351	126	13	who	who	PRON
ejpam-4351	126	14	have	have	VERB
ejpam-4351	126	15	that	that	PRON
ejpam-4351	126	16	bayes	bayes	PROPN
ejpam-4351	126	17	estimators	estimator	NOUN
ejpam-4351	126	18	perform	perform	VERB
ejpam-4351	126	19	better	well	ADJ
ejpam-4351	126	20	than	than	ADP
ejpam-4351	126	21	classical	classical	ADJ
ejpam-4351	126	22	estimators	estimator	NOUN
ejpam-4351	126	23	.	.	PUNCT
ejpam-4351	127	1	expected	expect	VERB
ejpam-4351	127	2	bayesian	bayesian	NOUN
ejpam-4351	127	3	or	or	CCONJ
ejpam-4351	127	4	ebayesian	ebayesian	ADJ
ejpam-4351	127	5	method	method	NOUN
ejpam-4351	127	6	as	as	ADP
ejpam-4351	127	7	an	an	DET
ejpam-4351	127	8	extension	extension	NOUN
ejpam-4351	127	9	to	to	ADP
ejpam-4351	127	10	bayesian	bayesian	NOUN
ejpam-4351	127	11	estimation	estimation	NOUN
ejpam-4351	127	12	has	have	AUX
ejpam-4351	127	13	been	be	AUX
ejpam-4351	127	14	introduced	introduce	VERB
ejpam-4351	127	15	by	by	ADP
ejpam-4351	127	16	[	[	X
ejpam-4351	127	17	11	11	NUM
ejpam-4351	127	18	]	]	PUNCT
ejpam-4351	127	19	.	.	PUNCT
ejpam-4351	128	1	he	he	PRON
ejpam-4351	128	2	obtained	obtain	VERB
ejpam-4351	128	3	the	the	DET
ejpam-4351	128	4	ebayes	ebayes	PROPN
ejpam-4351	128	5	estimate	estimate	NOUN
ejpam-4351	128	6	of	of	ADP
ejpam-4351	128	7	failure	failure	NOUN
ejpam-4351	128	8	probability	probability	NOUN
ejpam-4351	128	9	by	by	ADP
ejpam-4351	128	10	considering	consider	VERB
ejpam-4351	128	11	quadratic	quadratic	ADJ
ejpam-4351	128	12	loss	loss	NOUN
ejpam-4351	128	13	function	function	NOUN
ejpam-4351	128	14	and	and	CCONJ
ejpam-4351	128	15	discussed	discuss	VERB
ejpam-4351	128	16	the	the	DET
ejpam-4351	128	17	properties	property	NOUN
ejpam-4351	128	18	of	of	ADP
ejpam-4351	128	19	e	e	NOUN
ejpam-4351	128	20	-	-	NOUN
ejpam-4351	128	21	bayes	bayes	NOUN
ejpam-4351	128	22	estimate	estimate	NOUN
ejpam-4351	128	23	and	and	CCONJ
ejpam-4351	128	24	showed	show	VERB
ejpam-4351	128	25	that	that	SCONJ
ejpam-4351	128	26	e	e	NOUN
ejpam-4351	128	27	-	-	NOUN
ejpam-4351	128	28	bayes	bayes	ADJ
ejpam-4351	128	29	estimate	estimate	NOUN
ejpam-4351	128	30	is	be	AUX
ejpam-4351	128	31	efficient	efficient	ADJ
ejpam-4351	128	32	and	and	CCONJ
ejpam-4351	128	33	easy	easy	ADJ
ejpam-4351	128	34	to	to	PART
ejpam-4351	128	35	operate	operate	VERB
ejpam-4351	128	36	.	.	PUNCT
ejpam-4351	129	1	in	in	ADP
ejpam-4351	129	2	this	this	DET
ejpam-4351	129	3	article	article	NOUN
ejpam-4351	129	4	,	,	PUNCT
ejpam-4351	129	5	we	we	PRON
ejpam-4351	129	6	examine	examine	VERB
ejpam-4351	129	7	e	e	NOUN
ejpam-4351	129	8	-	-	NOUN
ejpam-4351	129	9	bayesian	bayesian	ADJ
ejpam-4351	129	10	estimation	estimation	NOUN
ejpam-4351	129	11	of	of	ADP
ejpam-4351	129	12	the	the	DET
ejpam-4351	129	13	parameter	parameter	NOUN
ejpam-4351	129	14	of	of	ADP
ejpam-4351	129	15	the	the	DET
ejpam-4351	129	16	reliability	reliability	NOUN
ejpam-4351	129	17	function	function	NOUN
ejpam-4351	129	18	for	for	ADP
ejpam-4351	129	19	the	the	DET
ejpam-4351	129	20	competing	compete	VERB
ejpam-4351	129	21	risk	risk	NOUN
ejpam-4351	129	22	model	model	NOUN
ejpam-4351	129	23	from	from	ADP
ejpam-4351	129	24	the	the	DET
ejpam-4351	129	25	gompertz	gompertz	NOUN
ejpam-4351	129	26	distribution	distribution	NOUN
ejpam-4351	129	27	developed	develop	VERB
ejpam-4351	129	28	in	in	ADP
ejpam-4351	129	29	[	[	X
ejpam-4351	129	30	23	23	NUM
ejpam-4351	129	31	]	]	PUNCT
ejpam-4351	129	32	.	.	PUNCT
ejpam-4351	130	1	under	under	ADP
ejpam-4351	130	2	the	the	DET
ejpam-4351	130	3	type	type	NOUN
ejpam-4351	130	4	i	i	PRON
ejpam-4351	130	5	progressive	progressive	ADJ
ejpam-4351	130	6	censorship	censorship	NOUN
ejpam-4351	130	7	,	,	PUNCT
ejpam-4351	130	8	the	the	DET
ejpam-4351	130	9	new	new	ADJ
ejpam-4351	130	10	estimators	estimator	NOUN
ejpam-4351	130	11	obtained	obtain	VERB
ejpam-4351	130	12	generalize	generalize	VERB
ejpam-4351	130	13	not	not	PART
ejpam-4351	130	14	only	only	ADV
ejpam-4351	130	15	the	the	DET
ejpam-4351	130	16	estimators	estimator	NOUN
ejpam-4351	130	17	of	of	ADP
ejpam-4351	130	18	the	the	DET
ejpam-4351	130	19	generalized	generalized	ADJ
ejpam-4351	130	20	quadratic	quadratic	ADJ
ejpam-4351	130	21	loss	loss	NOUN
ejpam-4351	130	22	function	function	NOUN
ejpam-4351	130	23	proposed	propose	VERB
ejpam-4351	130	24	by	by	ADP
ejpam-4351	130	25	[	[	X
ejpam-4351	130	26	32	32	NUM
ejpam-4351	130	27	]	]	PUNCT
ejpam-4351	130	28	,	,	PUNCT
ejpam-4351	130	29	but	but	CCONJ
ejpam-4351	130	30	also	also	ADV
ejpam-4351	130	31	those	those	PRON
ejpam-4351	130	32	of	of	ADP
ejpam-4351	130	33	the	the	DET
ejpam-4351	130	34	degroot	degroot	PROPN
ejpam-4351	130	35	and	and	CCONJ
ejpam-4351	130	36	entropy	entropy	VERB
ejpam-4351	130	37	loss	loss	NOUN
ejpam-4351	130	38	functions	function	NOUN
ejpam-4351	130	39	.	.	PUNCT
ejpam-4351	131	1	d.	d.	PROPN
ejpam-4351	131	2	a.	a.	PROPN
ejpam-4351	131	3	n.	n.	PROPN
ejpam-4351	131	4	njamen	njamen	PROPN
ejpam-4351	131	5	et	et	PROPN
ejpam-4351	131	6	al	al	PROPN
ejpam-4351	131	7	.	.	PUNCT
ejpam-4351	131	8	/	/	SYM
ejpam-4351	131	9	eur	eur	PROPN
ejpam-4351	131	10	.	.	PUNCT
ejpam-4351	132	1	j.	j.	PROPN
ejpam-4351	132	2	pure	pure	PROPN
ejpam-4351	132	3	appl	appl	PROPN
ejpam-4351	132	4	.	.	PROPN
ejpam-4351	132	5	math	math	PROPN
ejpam-4351	132	6	,	,	PUNCT
ejpam-4351	132	7	15	15	NUM
ejpam-4351	132	8	(	(	PUNCT
ejpam-4351	132	9	2	2	NUM
ejpam-4351	132	10	)	)	PUNCT
ejpam-4351	132	11	(	(	PUNCT
ejpam-4351	132	12	2022	2022	NUM
ejpam-4351	132	13	)	)	PUNCT
ejpam-4351	132	14	,	,	PUNCT
ejpam-4351	132	15	753	753	NUM
ejpam-4351	132	16	-	-	SYM
ejpam-4351	132	17	773	773	NUM
ejpam-4351	132	18	759	759	NUM
ejpam-4351	132	19	3	3	NUM
ejpam-4351	132	20	.	.	PUNCT
ejpam-4351	133	1	the	the	DET
ejpam-4351	133	2	e	e	NOUN
ejpam-4351	133	3	-	-	NOUN
ejpam-4351	133	4	bayesian	bayesian	ADJ
ejpam-4351	133	5	notion	notion	NOUN
ejpam-4351	133	6	bayesian	bayesian	NOUN
ejpam-4351	133	7	methods	method	NOUN
ejpam-4351	133	8	in	in	ADP
ejpam-4351	133	9	the	the	DET
ejpam-4351	133	10	context	context	NOUN
ejpam-4351	133	11	of	of	ADP
ejpam-4351	133	12	competing	compete	VERB
ejpam-4351	133	13	risks	risk	NOUN
ejpam-4351	133	14	are	be	AUX
ejpam-4351	133	15	studied	study	VERB
ejpam-4351	133	16	for	for	ADP
ejpam-4351	133	17	instance	instance	NOUN
ejpam-4351	133	18	by	by	ADP
ejpam-4351	133	19	[	[	X
ejpam-4351	133	20	10–13	10–13	NUM
ejpam-4351	133	21	]	]	X
ejpam-4351	133	22	,	,	PUNCT
ejpam-4351	133	23	[	[	X
ejpam-4351	133	24	32	32	NUM
ejpam-4351	133	25	]	]	PUNCT
ejpam-4351	133	26	,	,	PUNCT
ejpam-4351	133	27	[	[	X
ejpam-4351	133	28	24	24	NUM
ejpam-4351	133	29	]	]	PUNCT
ejpam-4351	133	30	,	,	PUNCT
ejpam-4351	134	1	[	[	X
ejpam-4351	134	2	33	33	NUM
ejpam-4351	134	3	]	]	PUNCT
ejpam-4351	134	4	,	,	PUNCT
ejpam-4351	135	1	[	[	X
ejpam-4351	135	2	18	18	NUM
ejpam-4351	135	3	]	]	PUNCT
ejpam-4351	135	4	and	and	CCONJ
ejpam-4351	135	5	[	[	X
ejpam-4351	135	6	25	25	NUM
ejpam-4351	135	7	]	]	PUNCT
ejpam-4351	135	8	.	.	PUNCT
ejpam-4351	136	1	e	e	X
ejpam-4351	136	2	-	-	NOUN
ejpam-4351	136	3	bayesian	bayesian	ADJ
ejpam-4351	136	4	estimation	estimation	NOUN
ejpam-4351	136	5	is	be	AUX
ejpam-4351	136	6	a	a	DET
ejpam-4351	136	7	new	new	ADJ
ejpam-4351	136	8	method	method	NOUN
ejpam-4351	136	9	for	for	ADP
ejpam-4351	136	10	estimating	estimate	VERB
ejpam-4351	136	11	the	the	DET
ejpam-4351	136	12	probability	probability	NOUN
ejpam-4351	136	13	of	of	ADP
ejpam-4351	136	14	failure	failure	NOUN
ejpam-4351	136	15	in	in	ADP
ejpam-4351	136	16	the	the	DET
ejpam-4351	136	17	case	case	NOUN
ejpam-4351	136	18	of	of	ADP
ejpam-4351	136	19	two	two	NUM
ejpam-4351	136	20	hyper	hyper	NOUN
ejpam-4351	136	21	-	-	NOUN
ejpam-4351	136	22	parameters	parameter	NOUN
ejpam-4351	136	23	.	.	PUNCT
ejpam-4351	137	1	introduced	introduce	VERB
ejpam-4351	137	2	by	by	ADP
ejpam-4351	137	3	[	[	X
ejpam-4351	137	4	10–12	10–12	NUM
ejpam-4351	137	5	]	]	PUNCT
ejpam-4351	137	6	,	,	PUNCT
ejpam-4351	137	7	in	in	ADP
ejpam-4351	137	8	the	the	DET
ejpam-4351	137	9	context	context	NOUN
ejpam-4351	137	10	of	of	ADP
ejpam-4351	137	11	a	a	DET
ejpam-4351	137	12	single	single	ADJ
ejpam-4351	137	13	risk	risk	NOUN
ejpam-4351	137	14	,	,	PUNCT
ejpam-4351	137	15	it	it	PRON
ejpam-4351	137	16	is	be	AUX
ejpam-4351	137	17	based	base	VERB
ejpam-4351	137	18	on	on	ADP
ejpam-4351	137	19	the	the	DET
ejpam-4351	137	20	calculation	calculation	NOUN
ejpam-4351	137	21	of	of	ADP
ejpam-4351	137	22	the	the	DET
ejpam-4351	137	23	posterior	posterior	ADJ
ejpam-4351	137	24	mean	mean	NOUN
ejpam-4351	137	25	of	of	ADP
ejpam-4351	137	26	the	the	DET
ejpam-4351	137	27	bayes	bayes	NOUN
ejpam-4351	137	28	estimators	estimator	NOUN
ejpam-4351	137	29	.	.	PUNCT
ejpam-4351	138	1	here	here	ADV
ejpam-4351	138	2	we	we	PRON
ejpam-4351	138	3	consider	consider	VERB
ejpam-4351	138	4	e	e	NOUN
ejpam-4351	138	5	-	-	NOUN
ejpam-4351	138	6	bayesian	bayesian	ADJ
ejpam-4351	138	7	estimation	estimation	NOUN
ejpam-4351	138	8	of	of	ADP
ejpam-4351	138	9	the	the	DET
ejpam-4351	138	10	shape	shape	NOUN
ejpam-4351	138	11	parameter	parameter	NOUN
ejpam-4351	138	12	λ	λ	PROPN
ejpam-4351	138	13	of	of	ADP
ejpam-4351	138	14	the	the	DET
ejpam-4351	138	15	gompertz	gompertz	NOUN
ejpam-4351	138	16	distribution	distribution	NOUN
ejpam-4351	138	17	in	in	ADP
ejpam-4351	138	18	a	a	DET
ejpam-4351	138	19	competing	compete	VERB
ejpam-4351	138	20	risks	risk	NOUN
ejpam-4351	138	21	context	context	VERB
ejpam-4351	138	22	.	.	PUNCT
ejpam-4351	139	1	under	under	ADP
ejpam-4351	139	2	the	the	DET
ejpam-4351	139	3	entropy	entropy	NOUN
ejpam-4351	139	4	loss	loss	NOUN
ejpam-4351	139	5	function	function	NOUN
ejpam-4351	139	6	,	,	PUNCT
ejpam-4351	139	7	we	we	PRON
ejpam-4351	139	8	assume	assume	VERB
ejpam-4351	139	9	that	that	SCONJ
ejpam-4351	139	10	λ	λ	PROPN
ejpam-4351	139	11	follows	follow	VERB
ejpam-4351	139	12	a	a	DET
ejpam-4351	139	13	gamma	gamma	NOUN
ejpam-4351	139	14	prior	prior	ADJ
ejpam-4351	139	15	distribution	distribution	NOUN
ejpam-4351	139	16	π(λ|a	π(λ|a	NOUN
ejpam-4351	139	17	,	,	PUNCT
ejpam-4351	139	18	b	b	NOUN
ejpam-4351	139	19	)	)	PUNCT
ejpam-4351	139	20	where	where	SCONJ
ejpam-4351	139	21	a	a	DET
ejpam-4351	139	22	>	>	X
ejpam-4351	139	23	0	0	NUM
ejpam-4351	139	24	and	and	CCONJ
ejpam-4351	139	25	b	b	X
ejpam-4351	139	26	>	>	X
ejpam-4351	139	27	0	0	NUM
ejpam-4351	139	28	are	be	AUX
ejpam-4351	139	29	the	the	DET
ejpam-4351	139	30	hyperparameters	hyperparameter	NOUN
ejpam-4351	139	31	.	.	PUNCT
ejpam-4351	140	1	definition	definition	NOUN
ejpam-4351	140	2	1	1	NUM
ejpam-4351	140	3	.	.	PUNCT
ejpam-4351	141	1	(	(	PUNCT
ejpam-4351	141	2	[	[	X
ejpam-4351	141	3	10	10	NUM
ejpam-4351	141	4	]	]	PUNCT
ejpam-4351	141	5	)	)	PUNCT
ejpam-4351	141	6	then	then	ADV
ejpam-4351	141	7	the	the	DET
ejpam-4351	141	8	e	e	NOUN
ejpam-4351	141	9	-	-	NOUN
ejpam-4351	141	10	bayesian	bayesian	ADJ
ejpam-4351	141	11	estimate	estimate	NOUN
ejpam-4351	141	12	of	of	ADP
ejpam-4351	141	13	λ	λ	PROPN
ejpam-4351	141	14	is	be	AUX
ejpam-4351	141	15	given	give	VERB
ejpam-4351	141	16	by	by	ADP
ejpam-4351	141	17	:	:	PUNCT
ejpam-4351	142	1	λ̂eb	λ̂eb	PROPN
ejpam-4351	142	2	=	=	SYM
ejpam-4351	142	3	∫	∫	PROPN
ejpam-4351	142	4	∫	∫	PROPN
ejpam-4351	143	1	d	d	PROPN
ejpam-4351	143	2	λ̂bπ(λ|(a	λ̂bπ(λ|(a	PROPN
ejpam-4351	143	3	,	,	PUNCT
ejpam-4351	143	4	b)dadb	b)dadb	NOUN
ejpam-4351	143	5	=	=	PUNCT
ejpam-4351	143	6	eπ[λ̂b(a	eπ[λ̂b(a	PROPN
ejpam-4351	143	7	,	,	PUNCT
ejpam-4351	143	8	b	b	NOUN
ejpam-4351	143	9	)	)	PUNCT
ejpam-4351	143	10	]	]	PUNCT
ejpam-4351	143	11	,	,	PUNCT
ejpam-4351	143	12	(	(	PUNCT
ejpam-4351	143	13	7	7	X
ejpam-4351	143	14	)	)	PUNCT
ejpam-4351	143	15	where	where	SCONJ
ejpam-4351	143	16	d	d	NOUN
ejpam-4351	143	17	is	be	AUX
ejpam-4351	143	18	the	the	DET
ejpam-4351	143	19	domain	domain	NOUN
ejpam-4351	143	20	of	of	ADP
ejpam-4351	143	21	space	space	NOUN
ejpam-4351	143	22	of	of	ADP
ejpam-4351	143	23	the	the	DET
ejpam-4351	143	24	parameters	parameter	NOUN
ejpam-4351	143	25	a	a	PRON
ejpam-4351	143	26	and	and	CCONJ
ejpam-4351	143	27	b.	b.	PROPN
ejpam-4351	143	28	definition	definition	NOUN
ejpam-4351	143	29	2	2	NUM
ejpam-4351	143	30	.	.	PUNCT
ejpam-4351	144	1	(	(	PUNCT
ejpam-4351	144	2	[	[	X
ejpam-4351	144	3	10	10	NUM
ejpam-4351	144	4	]	]	PUNCT
ejpam-4351	144	5	)	)	PUNCT
ejpam-4351	144	6	an	an	DET
ejpam-4351	144	7	e	e	NOUN
ejpam-4351	144	8	-	-	NOUN
ejpam-4351	144	9	bayesian	bayesian	ADJ
ejpam-4351	144	10	estimate	estimate	NOUN
ejpam-4351	144	11	of	of	ADP
ejpam-4351	144	12	λ	λ	PROPN
ejpam-4351	144	13	is	be	AUX
ejpam-4351	144	14	eπ[λ̂b(a	eπ[λ̂b(a	ADJ
ejpam-4351	144	15	,	,	PUNCT
ejpam-4351	144	16	b	b	NOUN
ejpam-4351	144	17	)	)	PUNCT
ejpam-4351	144	18	]	]	PUNCT
ejpam-4351	145	1	the	the	DET
ejpam-4351	145	2	expectation	expectation	NOUN
ejpam-4351	145	3	of	of	ADP
ejpam-4351	145	4	λ̂b(a	λ̂b(a	PROPN
ejpam-4351	145	5	,	,	PUNCT
ejpam-4351	145	6	b	b	NOUN
ejpam-4351	145	7	)	)	PUNCT
ejpam-4351	145	8	obtained	obtain	VERB
ejpam-4351	145	9	with	with	ADP
ejpam-4351	145	10	respect	respect	NOUN
ejpam-4351	145	11	to	to	ADP
ejpam-4351	145	12	any	any	DET
ejpam-4351	145	13	joint	joint	ADJ
ejpam-4351	145	14	distribution	distribution	NOUN
ejpam-4351	145	15	π(a	π(a	PROPN
ejpam-4351	145	16	,	,	PUNCT
ejpam-4351	145	17	b	b	NOUN
ejpam-4351	145	18	)	)	PUNCT
ejpam-4351	145	19	of	of	ADP
ejpam-4351	145	20	(	(	PUNCT
ejpam-4351	145	21	a	a	DET
ejpam-4351	145	22	,	,	PUNCT
ejpam-4351	145	23	b	b	NOUN
ejpam-4351	145	24	)	)	PUNCT
ejpam-4351	145	25	.	.	PUNCT
ejpam-4351	146	1	in	in	ADP
ejpam-4351	146	2	the	the	DET
ejpam-4351	146	3	context	context	NOUN
ejpam-4351	146	4	of	of	ADP
ejpam-4351	146	5	competitive	competitive	ADJ
ejpam-4351	146	6	risks	risk	NOUN
ejpam-4351	146	7	,	,	PUNCT
ejpam-4351	146	8	[	[	X
ejpam-4351	146	9	32	32	NUM
ejpam-4351	146	10	]	]	PUNCT
ejpam-4351	146	11	considered	consider	VERB
ejpam-4351	146	12	the	the	DET
ejpam-4351	146	13	bayesian	bayesian	NOUN
ejpam-4351	146	14	estimation	estimation	NOUN
ejpam-4351	146	15	of	of	ADP
ejpam-4351	146	16	the	the	DET
ejpam-4351	146	17	parameter	parameter	NOUN
ejpam-4351	146	18	βk	βk	ADP
ejpam-4351	146	19	and	and	CCONJ
ejpam-4351	146	20	assumed	assume	VERB
ejpam-4351	146	21	that	that	SCONJ
ejpam-4351	146	22	βk	βk	NOUN
ejpam-4351	146	23	follows	follow	VERB
ejpam-4351	146	24	an	an	DET
ejpam-4351	146	25	a	a	PRON
ejpam-4351	146	26	-	-	PUNCT
ejpam-4351	146	27	priori	priori	NOUN
ejpam-4351	146	28	gamma	gamma	NOUN
ejpam-4351	146	29	distribution	distribution	NOUN
ejpam-4351	146	30	π(βk|ak	π(βk|ak	NOUN
ejpam-4351	146	31	,	,	PUNCT
ejpam-4351	146	32	bk	bk	PROPN
ejpam-4351	146	33	)	)	PUNCT
ejpam-4351	146	34	,	,	PUNCT
ejpam-4351	146	35	with	with	ADP
ejpam-4351	146	36	hyper	hyper	ADJ
ejpam-4351	146	37	-	-	NOUN
ejpam-4351	146	38	parameters	parameter	NOUN
ejpam-4351	146	39	ak	ak	PROPN
ejpam-4351	146	40	>	>	X
ejpam-4351	146	41	0	0	PUNCT
ejpam-4351	146	42	and	and	CCONJ
ejpam-4351	146	43	bk	bk	VERB
ejpam-4351	146	44	>	>	X
ejpam-4351	146	45	0	0	X
ejpam-4351	146	46	.	.	PUNCT
ejpam-4351	147	1	these	these	PRON
ejpam-4351	147	2	must	must	AUX
ejpam-4351	147	3	be	be	AUX
ejpam-4351	147	4	selected	select	VERB
ejpam-4351	147	5	to	to	PART
ejpam-4351	147	6	guarantee	guarantee	VERB
ejpam-4351	147	7	that	that	SCONJ
ejpam-4351	147	8	π(βk	π(βk	NOUN
ejpam-4351	147	9	)	)	PUNCT
ejpam-4351	147	10	be	be	VERB
ejpam-4351	147	11	a	a	DET
ejpam-4351	147	12	decreasing	decrease	VERB
ejpam-4351	147	13	function	function	NOUN
ejpam-4351	147	14	of	of	ADP
ejpam-4351	147	15	βk	βk	NOUN
ejpam-4351	147	16	.	.	PUNCT
ejpam-4351	148	1	for	for	ADP
ejpam-4351	148	2	this	this	DET
ejpam-4351	148	3	reason	reason	NOUN
ejpam-4351	148	4	,	,	PUNCT
ejpam-4351	148	5	they	they	PRON
ejpam-4351	148	6	must	must	AUX
ejpam-4351	148	7	be	be	AUX
ejpam-4351	148	8	choosen	choosen	VERB
ejpam-4351	148	9	such	such	ADJ
ejpam-4351	148	10	that	that	SCONJ
ejpam-4351	148	11	∂π(βk|ak	∂π(βk|ak	PROPN
ejpam-4351	148	12	,	,	PUNCT
ejpam-4351	148	13	bk	bk	PROPN
ejpam-4351	148	14	)	)	PUNCT
ejpam-4351	148	15	∂βk	∂βk	NOUN
ejpam-4351	148	16	<	<	X
ejpam-4351	148	17	0	0	X
ejpam-4351	148	18	.	.	PUNCT
ejpam-4351	149	1	since	since	SCONJ
ejpam-4351	149	2	∂π(βk|ak	∂π(βk|ak	PROPN
ejpam-4351	149	3	,	,	PUNCT
ejpam-4351	149	4	bk	bk	PROPN
ejpam-4351	149	5	)	)	PUNCT
ejpam-4351	149	6	∂βk	∂βk	NOUN
ejpam-4351	149	7	=	=	SYM
ejpam-4351	149	8	bakk	bakk	ADV
ejpam-4351	149	9	γ(ak	γ(ak	PROPN
ejpam-4351	149	10	)	)	PUNCT
ejpam-4351	149	11	(	(	PUNCT
ejpam-4351	149	12	ak	ak	PROPN
ejpam-4351	149	13	−	−	PROPN
ejpam-4351	149	14	1−	1−	NUM
ejpam-4351	149	15	bkβk)β	bkβk)β	PUNCT
ejpam-4351	150	1	ak−2	ak−2	PROPN
ejpam-4351	150	2	k	k	PROPN
ejpam-4351	150	3	exp(−bkβk	exp(−bkβk	PROPN
ejpam-4351	150	4	)	)	PUNCT
ejpam-4351	150	5	,	,	PUNCT
ejpam-4351	150	6	(	(	PUNCT
ejpam-4351	150	7	8)	8)	NUM
ejpam-4351	150	8	from	from	ADP
ejpam-4351	150	9	(	(	PUNCT
ejpam-4351	150	10	8)	8)	NUM
ejpam-4351	150	11	,	,	PUNCT
ejpam-4351	150	12	ak	ak	PROPN
ejpam-4351	150	13	and	and	CCONJ
ejpam-4351	150	14	bk	bk	PROPN
ejpam-4351	150	15	must	must	AUX
ejpam-4351	150	16	achieve	achieve	VERB
ejpam-4351	150	17	0	0	NUM
ejpam-4351	150	18	<	<	X
ejpam-4351	150	19	ak	ak	X
ejpam-4351	150	20	<	<	X
ejpam-4351	150	21	1	1	NUM
ejpam-4351	150	22	and	and	CCONJ
ejpam-4351	150	23	bk	bk	VERB
ejpam-4351	150	24	>	>	X
ejpam-4351	150	25	0	0	X
ejpam-4351	150	26	.	.	PUNCT
ejpam-4351	151	1	we	we	PRON
ejpam-4351	151	2	assume	assume	VERB
ejpam-4351	151	3	subsequently	subsequently	ADV
ejpam-4351	151	4	that	that	SCONJ
ejpam-4351	151	5	ak	ak	PROPN
ejpam-4351	151	6	and	and	CCONJ
ejpam-4351	151	7	bk	bk	PROPN
ejpam-4351	151	8	are	be	AUX
ejpam-4351	151	9	independent	independent	ADJ
ejpam-4351	151	10	random	random	ADJ
ejpam-4351	151	11	variables	variable	NOUN
ejpam-4351	151	12	,	,	PUNCT
ejpam-4351	151	13	with	with	ADP
ejpam-4351	151	14	joint	joint	ADJ
ejpam-4351	151	15	(	(	PUNCT
ejpam-4351	151	16	a	a	PRON
ejpam-4351	151	17	-	-	PUNCT
ejpam-4351	151	18	priori	priori	ADJ
ejpam-4351	151	19	)	)	PUNCT
ejpam-4351	151	20	distribution	distribution	NOUN
ejpam-4351	151	21	of	of	ADP
ejpam-4351	151	22	the	the	DET
ejpam-4351	151	23	form	form	NOUN
ejpam-4351	151	24	π̃(ak	π̃(ak	NOUN
ejpam-4351	151	25	,	,	PUNCT
ejpam-4351	151	26	bk	bk	X
ejpam-4351	151	27	)	)	PUNCT
ejpam-4351	151	28	=	=	SYM
ejpam-4351	151	29	π̃(ak)π̃(bk	π̃(ak)π̃(bk	PROPN
ejpam-4351	151	30	)	)	PUNCT
ejpam-4351	151	31	,	,	PUNCT
ejpam-4351	151	32	where	where	SCONJ
ejpam-4351	151	33	π̃	π̃	PROPN
ejpam-4351	151	34	is	be	AUX
ejpam-4351	151	35	a	a	DET
ejpam-4351	151	36	density	density	NOUN
ejpam-4351	151	37	function	function	NOUN
ejpam-4351	151	38	.	.	PUNCT
ejpam-4351	152	1	in	in	ADP
ejpam-4351	152	2	the	the	DET
ejpam-4351	152	3	sequel	sequel	NOUN
ejpam-4351	152	4	,	,	PUNCT
ejpam-4351	152	5	we	we	PRON
ejpam-4351	152	6	use	use	VERB
ejpam-4351	152	7	three	three	NUM
ejpam-4351	152	8	different	different	ADJ
ejpam-4351	152	9	a	a	DET
ejpam-4351	152	10	priori	priori	ADJ
ejpam-4351	152	11	distributions	distribution	NOUN
ejpam-4351	152	12	for	for	ADP
ejpam-4351	152	13	ak	ak	PROPN
ejpam-4351	152	14	and	and	CCONJ
ejpam-4351	152	15	bk	bk	PROPN
ejpam-4351	152	16	as	as	SCONJ
ejpam-4351	152	17	defined	define	VERB
ejpam-4351	152	18	by	by	ADP
ejpam-4351	152	19	[	[	X
ejpam-4351	152	20	32	32	NUM
ejpam-4351	152	21	]	]	PUNCT
ejpam-4351	152	22	.	.	PUNCT
ejpam-4351	153	1	the	the	DET
ejpam-4351	153	2	influence	influence	NOUN
ejpam-4351	153	3	of	of	ADP
ejpam-4351	153	4	each	each	PRON
ejpam-4351	153	5	of	of	ADP
ejpam-4351	153	6	these	these	PRON
ejpam-4351	153	7	on	on	ADP
ejpam-4351	153	8	the	the	DET
ejpam-4351	153	9	e	e	NOUN
ejpam-4351	153	10	-	-	NOUN
ejpam-4351	153	11	bayesian	bayesian	ADJ
ejpam-4351	153	12	estimation	estimation	NOUN
ejpam-4351	153	13	of	of	ADP
ejpam-4351	153	14	βk	βk	NOUN
ejpam-4351	153	15	is	be	AUX
ejpam-4351	153	16	investigated	investigate	VERB
ejpam-4351	153	17	.	.	PUNCT
ejpam-4351	154	1	the	the	DET
ejpam-4351	154	2	three	three	NUM
ejpam-4351	154	3	a	a	DET
ejpam-4351	154	4	priori	priori	ADJ
ejpam-4351	154	5	joint	joint	ADJ
ejpam-4351	154	6	distributions	distribution	NOUN
ejpam-4351	154	7	of	of	ADP
ejpam-4351	154	8	the	the	DET
ejpam-4351	154	9	hyperparameters	hyperparameter	NOUN
ejpam-4351	154	10	ak	ak	PROPN
ejpam-4351	154	11	and	and	CCONJ
ejpam-4351	154	12	bk	bk	PROPN
ejpam-4351	154	13	are	be	AUX
ejpam-4351	154	14	defined	define	VERB
ejpam-4351	154	15	as	as	ADP
ejpam-4351	154	16	beta	beta	ADJ
ejpam-4351	154	17	distributions	distribution	NOUN
ejpam-4351	154	18	by	by	ADP
ejpam-4351	154	19	:	:	PUNCT
ejpam-4351	154	20			NUM
ejpam-4351	154	21	π̃1(ak	π̃1(ak	PROPN
ejpam-4351	154	22	,	,	PUNCT
ejpam-4351	154	23	bk	bk	PROPN
ejpam-4351	154	24	)	)	PUNCT
ejpam-4351	154	25	=	=	SYM
ejpam-4351	154	26	1	1	NUM
ejpam-4351	154	27	ckb(uk	ckb(uk	NOUN
ejpam-4351	154	28	,	,	PUNCT
ejpam-4351	154	29	vk	vk	NOUN
ejpam-4351	154	30	)	)	PUNCT
ejpam-4351	155	1	auk−1	auk−1	PROPN
ejpam-4351	155	2	k	k	X
ejpam-4351	155	3	(	(	PUNCT
ejpam-4351	155	4	1−	1−	NUM
ejpam-4351	155	5	ak	ak	PROPN
ejpam-4351	155	6	)	)	PUNCT
ejpam-4351	155	7	vk−1	vk−1	PROPN
ejpam-4351	155	8	π̃2(ak	π̃2(ak	NOUN
ejpam-4351	155	9	,	,	PUNCT
ejpam-4351	155	10	bk	bk	PROPN
ejpam-4351	155	11	)	)	PUNCT
ejpam-4351	155	12	=	=	SYM
ejpam-4351	155	13	2	2	NUM
ejpam-4351	155	14	c2kb(uk	c2kb(uk	PROPN
ejpam-4351	155	15	,	,	PUNCT
ejpam-4351	155	16	vk	vk	PROPN
ejpam-4351	155	17	)	)	PUNCT
ejpam-4351	155	18	(	(	PUNCT
ejpam-4351	155	19	ck	ck	INTJ
ejpam-4351	155	20	−	−	PROPN
ejpam-4351	156	1	bk)a	bk)a	PROPN
ejpam-4351	156	2	uk−1	uk−1	PROPN
ejpam-4351	156	3	k	k	PROPN
ejpam-4351	156	4	(	(	PUNCT
ejpam-4351	156	5	1−	1−	NUM
ejpam-4351	156	6	ak	ak	PROPN
ejpam-4351	156	7	)	)	PUNCT
ejpam-4351	156	8	vk−1	vk−1	PROPN
ejpam-4351	156	9	π̃3(ak	π̃3(ak	NOUN
ejpam-4351	156	10	,	,	PUNCT
ejpam-4351	156	11	bk	bk	PROPN
ejpam-4351	156	12	)	)	PUNCT
ejpam-4351	156	13	=	=	SYM
ejpam-4351	156	14	2bk	2bk	ADJ
ejpam-4351	156	15	c2kb(uk	c2kb(uk	PROPN
ejpam-4351	156	16	,	,	PUNCT
ejpam-4351	156	17	vk	vk	NOUN
ejpam-4351	156	18	)	)	PUNCT
ejpam-4351	156	19	auk−1	auk−1	PROPN
ejpam-4351	156	20	k	k	X
ejpam-4351	156	21	(	(	PUNCT
ejpam-4351	156	22	1−	1−	NUM
ejpam-4351	156	23	ak	ak	PROPN
ejpam-4351	156	24	)	)	PUNCT
ejpam-4351	156	25	vk−1	vk−1	PROPN
ejpam-4351	156	26	,	,	PUNCT
ejpam-4351	156	27	(	(	PUNCT
ejpam-4351	156	28	9	9	X
ejpam-4351	156	29	)	)	PUNCT
ejpam-4351	156	30	where	where	SCONJ
ejpam-4351	156	31	ak	ak	PROPN
ejpam-4351	156	32	and	and	CCONJ
ejpam-4351	156	33	bk	bk	PROPN
ejpam-4351	156	34	are	be	AUX
ejpam-4351	156	35	such	such	ADJ
ejpam-4351	156	36	that	that	SCONJ
ejpam-4351	156	37	0	0	NUM
ejpam-4351	156	38	<	<	X
ejpam-4351	156	39	ak	ak	X
ejpam-4351	156	40	<	<	X
ejpam-4351	156	41	1	1	NUM
ejpam-4351	156	42	,	,	PUNCT
ejpam-4351	156	43	0	0	PUNCT
ejpam-4351	156	44	<	<	X
ejpam-4351	156	45	bk	bk	X
ejpam-4351	156	46	<	<	X
ejpam-4351	156	47	ck	ck	PROPN
ejpam-4351	156	48	,	,	PUNCT
ejpam-4351	156	49	ck	ck	INTJ
ejpam-4351	156	50	>	>	X
ejpam-4351	156	51	0	0	X
ejpam-4351	156	52	.	.	PUNCT
ejpam-4351	156	53	d.	d.	PROPN
ejpam-4351	156	54	a.	a.	PROPN
ejpam-4351	156	55	n.	n.	PROPN
ejpam-4351	156	56	njamen	njamen	PROPN
ejpam-4351	156	57	et	et	PROPN
ejpam-4351	156	58	al	al	PROPN
ejpam-4351	156	59	.	.	PUNCT
ejpam-4351	156	60	/	/	SYM
ejpam-4351	156	61	eur	eur	PROPN
ejpam-4351	156	62	.	.	PUNCT
ejpam-4351	157	1	j.	j.	PROPN
ejpam-4351	157	2	pure	pure	PROPN
ejpam-4351	157	3	appl	appl	PROPN
ejpam-4351	157	4	.	.	PROPN
ejpam-4351	157	5	math	math	PROPN
ejpam-4351	157	6	,	,	PUNCT
ejpam-4351	157	7	15	15	NUM
ejpam-4351	157	8	(	(	PUNCT
ejpam-4351	157	9	2	2	NUM
ejpam-4351	157	10	)	)	PUNCT
ejpam-4351	157	11	(	(	PUNCT
ejpam-4351	157	12	2022	2022	NUM
ejpam-4351	157	13	)	)	PUNCT
ejpam-4351	157	14	,	,	PUNCT
ejpam-4351	157	15	753	753	NUM
ejpam-4351	157	16	-	-	SYM
ejpam-4351	157	17	773	773	NUM
ejpam-4351	157	18	760	760	NUM
ejpam-4351	157	19	4	4	NUM
ejpam-4351	157	20	.	.	PUNCT
ejpam-4351	158	1	e	e	X
ejpam-4351	158	2	-	-	NOUN
ejpam-4351	158	3	bayesian	bayesian	ADJ
ejpam-4351	158	4	estimation	estimation	NOUN
ejpam-4351	158	5	under	under	ADP
ejpam-4351	158	6	the	the	DET
ejpam-4351	158	7	generalized	generalized	ADJ
ejpam-4351	158	8	quadratic	quadratic	ADJ
ejpam-4351	158	9	loss	loss	NOUN
ejpam-4351	158	10	function	function	NOUN
ejpam-4351	158	11	4.1	4.1	NUM
ejpam-4351	158	12	.	.	PUNCT
ejpam-4351	159	1	generalized	generalize	VERB
ejpam-4351	159	2	quadratic	quadratic	ADJ
ejpam-4351	159	3	loss	loss	NOUN
ejpam-4351	159	4	function	function	VERB
ejpam-4351	159	5	the	the	DET
ejpam-4351	159	6	quadratic	quadratic	ADJ
ejpam-4351	159	7	loss	loss	NOUN
ejpam-4351	159	8	function	function	NOUN
ejpam-4351	159	9	proposed	propose	VERB
ejpam-4351	159	10	by	by	ADP
ejpam-4351	159	11	[	[	X
ejpam-4351	159	12	16	16	NUM
ejpam-4351	159	13	]	]	PUNCT
ejpam-4351	159	14	and	and	CCONJ
ejpam-4351	159	15	[	[	X
ejpam-4351	159	16	8	8	NUM
ejpam-4351	159	17	]	]	PUNCT
ejpam-4351	159	18	is	be	AUX
ejpam-4351	159	19	defined	define	VERB
ejpam-4351	159	20	by	by	ADP
ejpam-4351	159	21	:	:	PUNCT
ejpam-4351	159	22	l(θ	l(θ	NOUN
ejpam-4351	159	23	,	,	PUNCT
ejpam-4351	159	24	d	d	NOUN
ejpam-4351	159	25	)	)	PUNCT
ejpam-4351	159	26	=	=	SYM
ejpam-4351	159	27	(	(	PUNCT
ejpam-4351	159	28	θ	θ	X
ejpam-4351	159	29	−	−	PROPN
ejpam-4351	159	30	d)2	d)2	NOUN
ejpam-4351	159	31	,	,	PUNCT
ejpam-4351	159	32	where	where	SCONJ
ejpam-4351	159	33	θ	θ	PROPN
ejpam-4351	159	34	∈	∈	PROPN
ejpam-4351	159	35	θ	θ	X
ejpam-4351	159	36	the	the	DET
ejpam-4351	159	37	parameters	parameter	NOUN
ejpam-4351	159	38	space	space	VERB
ejpam-4351	159	39	,	,	PUNCT
ejpam-4351	159	40	d	d	PROPN
ejpam-4351	159	41	∈	∈	PROPN
ejpam-4351	160	1	d	d	X
ejpam-4351	160	2	the	the	DET
ejpam-4351	160	3	decision	decision	NOUN
ejpam-4351	160	4	space	space	NOUN
ejpam-4351	160	5	.	.	PUNCT
ejpam-4351	161	1	a	a	DET
ejpam-4351	161	2	variant	variant	NOUN
ejpam-4351	161	3	of	of	ADP
ejpam-4351	161	4	this	this	DET
ejpam-4351	161	5	loss	loss	NOUN
ejpam-4351	161	6	function	function	NOUN
ejpam-4351	161	7	is	be	AUX
ejpam-4351	161	8	the	the	DET
ejpam-4351	161	9	weighted	weight	VERB
ejpam-4351	161	10	squared	square	VERB
ejpam-4351	161	11	loss	loss	NOUN
ejpam-4351	161	12	function	function	NOUN
ejpam-4351	161	13	of	of	ADP
ejpam-4351	161	14	the	the	DET
ejpam-4351	161	15	form	form	NOUN
ejpam-4351	161	16	l(θ	l(θ	NOUN
ejpam-4351	161	17	,	,	PUNCT
ejpam-4351	161	18	d	d	NOUN
ejpam-4351	161	19	)	)	PUNCT
ejpam-4351	161	20	=	=	SYM
ejpam-4351	161	21	ω(θ)(θ	ω(θ)(θ	PUNCT
ejpam-4351	161	22	−	−	PROPN
ejpam-4351	161	23	d)2	d)2	NOUN
ejpam-4351	161	24	,	,	PUNCT
ejpam-4351	161	25	where	where	SCONJ
ejpam-4351	161	26	ω	ω	PROPN
ejpam-4351	161	27	is	be	AUX
ejpam-4351	161	28	a	a	DET
ejpam-4351	161	29	weight	weight	NOUN
ejpam-4351	161	30	function	function	NOUN
ejpam-4351	161	31	.	.	PUNCT
ejpam-4351	162	1	a	a	DET
ejpam-4351	162	2	cost	cost	NOUN
ejpam-4351	162	3	function	function	NOUN
ejpam-4351	162	4	is	be	AUX
ejpam-4351	162	5	any	any	DET
ejpam-4351	162	6	real	real	ADV
ejpam-4351	162	7	-	-	PUNCT
ejpam-4351	162	8	valued	value	VERB
ejpam-4351	162	9	function	function	NOUN
ejpam-4351	162	10	l	l	NOUN
ejpam-4351	162	11	defined	define	VERB
ejpam-4351	162	12	on	on	ADP
ejpam-4351	162	13	θ	θ	PROPN
ejpam-4351	162	14	×	×	PROPN
ejpam-4351	162	15	d.	d.	PROPN
ejpam-4351	162	16	in	in	ADP
ejpam-4351	162	17	general	general	ADJ
ejpam-4351	162	18	,	,	PUNCT
ejpam-4351	162	19	a	a	DET
ejpam-4351	162	20	loss	loss	NOUN
ejpam-4351	162	21	function	function	NOUN
ejpam-4351	162	22	is	be	AUX
ejpam-4351	162	23	a	a	DET
ejpam-4351	162	24	measurable	measurable	ADJ
ejpam-4351	162	25	positive	positive	ADJ
ejpam-4351	162	26	function	function	NOUN
ejpam-4351	162	27	defined	define	VERB
ejpam-4351	162	28	on	on	ADP
ejpam-4351	162	29	θ×d	θ×d	PROPN
ejpam-4351	162	30	.	.	PUNCT
ejpam-4351	163	1	the	the	DET
ejpam-4351	163	2	parameters	parameter	NOUN
ejpam-4351	163	3	space	space	NOUN
ejpam-4351	163	4	θ	θ	PROPN
ejpam-4351	163	5	is	be	AUX
ejpam-4351	163	6	endowed	endow	VERB
ejpam-4351	163	7	with	with	ADP
ejpam-4351	163	8	a	a	DET
ejpam-4351	163	9	probability	probability	NOUN
ejpam-4351	163	10	π	π	NOUN
ejpam-4351	163	11	such	such	ADJ
ejpam-4351	163	12	that	that	SCONJ
ejpam-4351	163	13	(	(	PUNCT
ejpam-4351	163	14	θ	θ	NOUN
ejpam-4351	163	15	,	,	PUNCT
ejpam-4351	163	16	a	a	DET
ejpam-4351	163	17	,	,	PUNCT
ejpam-4351	163	18	π	π	X
ejpam-4351	163	19	)	)	PUNCT
ejpam-4351	163	20	is	be	AUX
ejpam-4351	163	21	a	a	DET
ejpam-4351	163	22	probabilized	probabilize	VERB
ejpam-4351	163	23	space	space	NOUN
ejpam-4351	163	24	.	.	PUNCT
ejpam-4351	164	1	we	we	PRON
ejpam-4351	164	2	write	write	VERB
ejpam-4351	164	3	θ	θ	PROPN
ejpam-4351	164	4	∼	∼	NOUN
ejpam-4351	164	5	π	π	PROPN
ejpam-4351	164	6	to	to	PART
ejpam-4351	164	7	mean	mean	VERB
ejpam-4351	164	8	that	that	SCONJ
ejpam-4351	164	9	θ	θ	PROPN
ejpam-4351	164	10	has	have	VERB
ejpam-4351	164	11	distribution	distribution	NOUN
ejpam-4351	164	12	π	π	PROPN
ejpam-4351	164	13	called	call	VERB
ejpam-4351	164	14	a	a	DET
ejpam-4351	164	15	priori	priori	ADJ
ejpam-4351	164	16	law	law	NOUN
ejpam-4351	164	17	.	.	PUNCT
ejpam-4351	165	1	this	this	DET
ejpam-4351	165	2	distribution	distribution	NOUN
ejpam-4351	165	3	determines	determine	VERB
ejpam-4351	165	4	what	what	PRON
ejpam-4351	165	5	we	we	PRON
ejpam-4351	165	6	know	know	VERB
ejpam-4351	165	7	and	and	CCONJ
ejpam-4351	165	8	what	what	PRON
ejpam-4351	165	9	we	we	PRON
ejpam-4351	165	10	do	do	AUX
ejpam-4351	165	11	n’t	not	PART
ejpam-4351	165	12	know	know	VERB
ejpam-4351	165	13	before	before	ADP
ejpam-4351	165	14	observing	observe	VERB
ejpam-4351	165	15	the	the	DET
ejpam-4351	165	16	the	the	DET
ejpam-4351	165	17	event	event	NOUN
ejpam-4351	165	18	under	under	ADP
ejpam-4351	165	19	consideration	consideration	NOUN
ejpam-4351	165	20	.	.	PUNCT
ejpam-4351	166	1	under	under	ADP
ejpam-4351	166	2	the	the	DET
ejpam-4351	166	3	assumption	assumption	NOUN
ejpam-4351	166	4	of	of	ADP
ejpam-4351	166	5	a	a	DET
ejpam-4351	166	6	quadratic	quadratic	ADJ
ejpam-4351	166	7	cost	cost	NOUN
ejpam-4351	166	8	,	,	PUNCT
ejpam-4351	166	9	the	the	DET
ejpam-4351	166	10	bayes	bayes	PROPN
ejpam-4351	166	11	estimator	estimator	PROPN
ejpam-4351	166	12	δπ(x	δπ(x	PROPN
ejpam-4351	166	13	)	)	PUNCT
ejpam-4351	166	14	of	of	ADP
ejpam-4351	166	15	θ	θ	PROPN
ejpam-4351	166	16	associated	associate	VERB
ejpam-4351	166	17	with	with	ADP
ejpam-4351	166	18	the	the	DET
ejpam-4351	166	19	prior	prior	ADJ
ejpam-4351	166	20	distribution	distribution	NOUN
ejpam-4351	166	21	π	π	NOUN
ejpam-4351	166	22	is	be	AUX
ejpam-4351	166	23	the	the	DET
ejpam-4351	166	24	conditional	conditional	ADJ
ejpam-4351	166	25	mean	mean	VERB
ejpam-4351	166	26	a	a	DET
ejpam-4351	166	27	posteriori	posteriori	NOUN
ejpam-4351	166	28	of	of	ADP
ejpam-4351	166	29	θ	θ	PROPN
ejpam-4351	166	30	defined	define	VERB
ejpam-4351	166	31	for	for	ADP
ejpam-4351	166	32	any	any	DET
ejpam-4351	166	33	observation	observation	NOUN
ejpam-4351	166	34	x	x	X
ejpam-4351	166	35	=	=	SYM
ejpam-4351	166	36	(	(	PUNCT
ejpam-4351	166	37	x1	x1	PROPN
ejpam-4351	166	38	,	,	PUNCT
ejpam-4351	166	39	x2	x2	PROPN
ejpam-4351	166	40	,	,	PUNCT
ejpam-4351	166	41	·	·	PUNCT
ejpam-4351	166	42	·	·	PUNCT
ejpam-4351	166	43	·	·	PUNCT
ejpam-4351	166	44	,	,	PUNCT
ejpam-4351	166	45	xn	xn	X
ejpam-4351	166	46	)	)	PUNCT
ejpam-4351	166	47	by	by	ADP
ejpam-4351	166	48	:	:	PUNCT
ejpam-4351	166	49	δπ(x	δπ(x	NUM
ejpam-4351	166	50	)	)	PUNCT
ejpam-4351	166	51	=	=	SYM
ejpam-4351	166	52	eπ(·|x)(θ	eπ(·|x)(θ	X
ejpam-4351	166	53	)	)	PUNCT
ejpam-4351	167	1	=	=	SYM
ejpam-4351	167	2	∫	∫	PROPN
ejpam-4351	167	3	θ∈θ	θ∈θ	NOUN
ejpam-4351	167	4	l(θ	l(θ	PROPN
ejpam-4351	167	5	,	,	PUNCT
ejpam-4351	167	6	δ(x))π(θ|x)dθ	δ(x))π(θ|x)dθ	NOUN
ejpam-4351	167	7	.	.	PUNCT
ejpam-4351	168	1	the	the	DET
ejpam-4351	168	2	e	e	NOUN
ejpam-4351	168	3	-	-	NOUN
ejpam-4351	168	4	bayesian	bayesian	ADJ
ejpam-4351	168	5	estimator	estimator	NOUN
ejpam-4351	168	6	of	of	ADP
ejpam-4351	168	7	βk	βk	ADP
ejpam-4351	168	8	with	with	ADP
ejpam-4351	168	9	hyper	hyper	NOUN
ejpam-4351	168	10	-	-	NOUN
ejpam-4351	168	11	parameters	parameter	NOUN
ejpam-4351	168	12	ak	ak	PROPN
ejpam-4351	168	13	and	and	CCONJ
ejpam-4351	168	14	bk	bk	PROPN
ejpam-4351	168	15	is	be	AUX
ejpam-4351	168	16	given	give	VERB
ejpam-4351	168	17	by	by	ADP
ejpam-4351	168	18	:	:	PUNCT
ejpam-4351	168	19	β̂k(ebqgi	β̂k(ebqgi	NUM
ejpam-4351	168	20	)	)	PUNCT
ejpam-4351	169	1	=	=	SYM
ejpam-4351	170	1	∫	∫	PROPN
ejpam-4351	170	2	∫	∫	PROPN
ejpam-4351	171	1	d	d	X
ejpam-4351	171	2	β̂k(bqg)(ak	β̂k(bqg)(ak	PROPN
ejpam-4351	171	3	,	,	PUNCT
ejpam-4351	171	4	bk)πi(ak	bk)πi(ak	VERB
ejpam-4351	171	5	,	,	PUNCT
ejpam-4351	171	6	bk)dbkdak	bk)dbkdak	NOUN
ejpam-4351	171	7	,	,	PUNCT
ejpam-4351	171	8	i	i	PRON
ejpam-4351	171	9	=	=	NOUN
ejpam-4351	171	10	1	1	NUM
ejpam-4351	171	11	,	,	PUNCT
ejpam-4351	171	12	2	2	NUM
ejpam-4351	171	13	,	,	PUNCT
ejpam-4351	171	14	3	3	NUM
ejpam-4351	171	15	,	,	PUNCT
ejpam-4351	171	16	where	where	SCONJ
ejpam-4351	171	17	d	d	NOUN
ejpam-4351	171	18	is	be	AUX
ejpam-4351	171	19	the	the	DET
ejpam-4351	171	20	decision	decision	NOUN
ejpam-4351	171	21	space	space	NOUN
ejpam-4351	171	22	,	,	PUNCT
ejpam-4351	171	23	and	and	CCONJ
ejpam-4351	171	24	β̂k(bqg	β̂k(bqg	NUM
ejpam-4351	171	25	)	)	PUNCT
ejpam-4351	171	26	is	be	AUX
ejpam-4351	171	27	the	the	DET
ejpam-4351	171	28	bayesian	bayesian	NOUN
ejpam-4351	171	29	estimator	estimator	NOUN
ejpam-4351	171	30	of	of	ADP
ejpam-4351	171	31	βk	βk	ADV
ejpam-4351	171	32	defined	define	VERB
ejpam-4351	171	33	in	in	ADP
ejpam-4351	171	34	theorem	theorem	NOUN
ejpam-4351	171	35	4.1	4.1	NUM
ejpam-4351	171	36	of	of	ADP
ejpam-4351	171	37	[	[	X
ejpam-4351	171	38	23	23	NUM
ejpam-4351	171	39	]	]	PUNCT
ejpam-4351	171	40	and	and	CCONJ
ejpam-4351	171	41	recalled	recall	VERB
ejpam-4351	171	42	below	below	ADV
ejpam-4351	171	43	:	:	PUNCT
ejpam-4351	171	44	β̂k(bqg)(αk	β̂k(bqg)(αk	ADJ
ejpam-4351	171	45	,	,	PUNCT
ejpam-4351	171	46	βk	βk	NOUN
ejpam-4351	171	47	)	)	PUNCT
ejpam-4351	172	1	=	=	SYM
ejpam-4351	172	2	nk	nk	PROPN
ejpam-4351	173	1	+	+	PROPN
ejpam-4351	173	2	ak	ak	PROPN
ejpam-4351	174	1	+	+	X
ejpam-4351	174	2	α−	α−	ADP
ejpam-4351	174	3	1	1	NUM
ejpam-4351	174	4	bk	bk	VERB
ejpam-4351	174	5	+	+	NOUN
ejpam-4351	174	6	ak	ak	PROPN
ejpam-4351	174	7	αk	αk	NOUN
ejpam-4351	174	8	,	,	PUNCT
ejpam-4351	174	9	with	with	ADP
ejpam-4351	174	10	αk	αk	INTJ
ejpam-4351	174	11	>	>	X
ejpam-4351	174	12	0	0	X
ejpam-4351	174	13	.	.	PUNCT
ejpam-4351	175	1	the	the	DET
ejpam-4351	175	2	a	a	DET
ejpam-4351	175	3	priori	priori	ADJ
ejpam-4351	175	4	distributions	distribution	NOUN
ejpam-4351	175	5	defined	define	VERB
ejpam-4351	175	6	above	above	ADV
ejpam-4351	175	7	will	will	AUX
ejpam-4351	175	8	allow	allow	VERB
ejpam-4351	175	9	us	we	PRON
ejpam-4351	175	10	in	in	ADP
ejpam-4351	175	11	the	the	DET
ejpam-4351	175	12	following	follow	VERB
ejpam-4351	175	13	subsection	subsection	NOUN
ejpam-4351	175	14	to	to	PART
ejpam-4351	175	15	determine	determine	VERB
ejpam-4351	175	16	the	the	DET
ejpam-4351	175	17	estimators	estimator	NOUN
ejpam-4351	175	18	of	of	ADP
ejpam-4351	175	19	the	the	DET
ejpam-4351	175	20	bayesian	bayesian	NOUN
ejpam-4351	175	21	expectation	expectation	NOUN
ejpam-4351	175	22	for	for	ADP
ejpam-4351	175	23	the	the	DET
ejpam-4351	175	24	different	different	ADJ
ejpam-4351	175	25	loss	loss	NOUN
ejpam-4351	175	26	functions	function	NOUN
ejpam-4351	175	27	considered	consider	VERB
ejpam-4351	175	28	.	.	PUNCT
ejpam-4351	176	1	d.	d.	PROPN
ejpam-4351	176	2	a.	a.	PROPN
ejpam-4351	176	3	n.	n.	PROPN
ejpam-4351	176	4	njamen	njamen	PROPN
ejpam-4351	176	5	et	et	PROPN
ejpam-4351	176	6	al	al	PROPN
ejpam-4351	176	7	.	.	PUNCT
ejpam-4351	176	8	/	/	SYM
ejpam-4351	176	9	eur	eur	PROPN
ejpam-4351	176	10	.	.	PUNCT
ejpam-4351	177	1	j.	j.	PROPN
ejpam-4351	177	2	pure	pure	PROPN
ejpam-4351	177	3	appl	appl	PROPN
ejpam-4351	177	4	.	.	PROPN
ejpam-4351	177	5	math	math	PROPN
ejpam-4351	177	6	,	,	PUNCT
ejpam-4351	177	7	15	15	NUM
ejpam-4351	177	8	(	(	PUNCT
ejpam-4351	177	9	2	2	NUM
ejpam-4351	177	10	)	)	PUNCT
ejpam-4351	177	11	(	(	PUNCT
ejpam-4351	177	12	2022	2022	NUM
ejpam-4351	177	13	)	)	PUNCT
ejpam-4351	177	14	,	,	PUNCT
ejpam-4351	177	15	753	753	NUM
ejpam-4351	177	16	-	-	SYM
ejpam-4351	177	17	773	773	NUM
ejpam-4351	177	18	761	761	NUM
ejpam-4351	177	19	4.2	4.2	NUM
ejpam-4351	177	20	.	.	PUNCT
ejpam-4351	178	1	the	the	DET
ejpam-4351	178	2	e	e	NOUN
ejpam-4351	178	3	-	-	NOUN
ejpam-4351	178	4	bayesian	bayesian	ADJ
ejpam-4351	178	5	estimators	estimator	NOUN
ejpam-4351	178	6	theorem	theorem	VERB
ejpam-4351	178	7	1	1	NUM
ejpam-4351	178	8	.	.	PUNCT
ejpam-4351	179	1	under	under	ADP
ejpam-4351	179	2	the	the	DET
ejpam-4351	179	3	generalized	generalized	ADJ
ejpam-4351	179	4	quadratic	quadratic	ADJ
ejpam-4351	179	5	loss	loss	NOUN
ejpam-4351	179	6	function	function	NOUN
ejpam-4351	179	7	,	,	PUNCT
ejpam-4351	179	8	the	the	DET
ejpam-4351	179	9	e	e	NOUN
ejpam-4351	179	10	-	-	NOUN
ejpam-4351	179	11	bayesian	bayesian	ADJ
ejpam-4351	179	12	estimators	estimator	NOUN
ejpam-4351	179	13	of	of	ADP
ejpam-4351	179	14	βk	βk	ADV
ejpam-4351	179	15	obtained	obtain	VERB
ejpam-4351	179	16	with	with	ADP
ejpam-4351	179	17	the	the	DET
ejpam-4351	179	18	priors	prior	NOUN
ejpam-4351	179	19	πi(ak	πi(ak	PROPN
ejpam-4351	179	20	,	,	PUNCT
ejpam-4351	179	21	bk	bk	PROPN
ejpam-4351	179	22	)	)	PUNCT
ejpam-4351	179	23	,	,	PUNCT
ejpam-4351	179	24	i	i	PRON
ejpam-4351	179	25	∈	∈	PROPN
ejpam-4351	179	26	{	{	PUNCT
ejpam-4351	179	27	1	1	NUM
ejpam-4351	179	28	,	,	PUNCT
ejpam-4351	179	29	2	2	NUM
ejpam-4351	179	30	,	,	PUNCT
ejpam-4351	179	31	3	3	NUM
ejpam-4351	179	32	}	}	PUNCT
ejpam-4351	179	33	are	be	AUX
ejpam-4351	179	34	given	give	VERB
ejpam-4351	179	35	respectively	respectively	ADV
ejpam-4351	179	36	by	by	ADP
ejpam-4351	179	37	:	:	PUNCT
ejpam-4351	179	38			NOUN
ejpam-4351	179	39	β̂k(ebqg1	β̂k(ebqg1	NUM
ejpam-4351	179	40	)	)	PUNCT
ejpam-4351	180	1	=	=	SYM
ejpam-4351	180	2	c−1	c−1	PROPN
ejpam-4351	180	3	k	k	PROPN
ejpam-4351	180	4	ln	ln	NOUN
ejpam-4351	180	5	(	(	PUNCT
ejpam-4351	180	6	1	1	NUM
ejpam-4351	180	7	+	+	CCONJ
ejpam-4351	180	8	ck	ck	PROPN
ejpam-4351	180	9	ak	ak	PROPN
ejpam-4351	180	10	αk	αk	NOUN
ejpam-4351	180	11	)	)	PUNCT
ejpam-4351	180	12	(	(	PUNCT
ejpam-4351	180	13	nk	nk	PROPN
ejpam-4351	181	1	+	+	X
ejpam-4351	181	2	α−	α−	ADP
ejpam-4351	181	3	1	1	NUM
ejpam-4351	181	4	+	+	NUM
ejpam-4351	181	5	uk	uk	PROPN
ejpam-4351	181	6	uk	uk	PROPN
ejpam-4351	181	7	+	+	CCONJ
ejpam-4351	181	8	vk	vk	PROPN
ejpam-4351	181	9	)	)	PUNCT
ejpam-4351	181	10	β̂k(ebqg2	β̂k(ebqg2	NUM
ejpam-4351	181	11	)	)	PUNCT
ejpam-4351	182	1	=	=	PUNCT
ejpam-4351	183	1	2c−2	2c−2	NUM
ejpam-4351	183	2	k	k	NOUN
ejpam-4351	183	3	[	[	PUNCT
ejpam-4351	183	4	−ck	−ck	PROPN
ejpam-4351	183	5	+	+	CCONJ
ejpam-4351	183	6	(	(	PUNCT
ejpam-4351	183	7	ck	ck	INTJ
ejpam-4351	183	8	+	+	NUM
ejpam-4351	183	9	ak	ak	PROPN
ejpam-4351	183	10	αk	αk	NOUN
ejpam-4351	183	11	)	)	PUNCT
ejpam-4351	183	12	ln	ln	NOUN
ejpam-4351	183	13	(	(	PUNCT
ejpam-4351	183	14	1	1	NUM
ejpam-4351	183	15	+	+	CCONJ
ejpam-4351	183	16	ck	ck	PROPN
ejpam-4351	183	17	ak	ak	PROPN
ejpam-4351	183	18	αk	αk	NOUN
ejpam-4351	183	19	)	)	PUNCT
ejpam-4351	183	20	]	]	PUNCT
ejpam-4351	183	21	(	(	PUNCT
ejpam-4351	183	22	nk	nk	NOUN
ejpam-4351	184	1	+	+	CCONJ
ejpam-4351	184	2	α−	α−	ADP
ejpam-4351	184	3	1	1	NUM
ejpam-4351	184	4	+	+	NUM
ejpam-4351	184	5	uk	uk	PROPN
ejpam-4351	184	6	uk	uk	PROPN
ejpam-4351	184	7	+	+	CCONJ
ejpam-4351	184	8	vk	vk	PROPN
ejpam-4351	184	9	)	)	PUNCT
ejpam-4351	184	10	β̂k(ebqg3	β̂k(ebqg3	NOUN
ejpam-4351	184	11	)	)	PUNCT
ejpam-4351	184	12	=	=	SYM
ejpam-4351	185	1	2c−2	2c−2	NUM
ejpam-4351	185	2	k	k	NOUN
ejpam-4351	185	3	[	[	PUNCT
ejpam-4351	185	4	ck	ck	INTJ
ejpam-4351	185	5	−	−	PROPN
ejpam-4351	185	6	(	(	PUNCT
ejpam-4351	185	7	ak	ak	INTJ
ejpam-4351	185	8	αk	αk	INTJ
ejpam-4351	185	9	)	)	PUNCT
ejpam-4351	185	10	ln	ln	NOUN
ejpam-4351	185	11	(	(	PUNCT
ejpam-4351	185	12	1	1	NUM
ejpam-4351	185	13	+	+	CCONJ
ejpam-4351	185	14	ck	ck	PROPN
ejpam-4351	185	15	ak	ak	PROPN
ejpam-4351	185	16	αk	αk	NOUN
ejpam-4351	185	17	)	)	PUNCT
ejpam-4351	185	18	]	]	PUNCT
ejpam-4351	185	19	(	(	PUNCT
ejpam-4351	185	20	nk	nk	NOUN
ejpam-4351	186	1	+	+	CCONJ
ejpam-4351	186	2	α−	α−	ADP
ejpam-4351	186	3	1	1	NUM
ejpam-4351	186	4	+	+	NUM
ejpam-4351	186	5	uk	uk	PROPN
ejpam-4351	186	6	uk	uk	PROPN
ejpam-4351	186	7	+	+	PROPN
ejpam-4351	186	8	vk	vk	PROPN
ejpam-4351	186	9	)	)	PUNCT
ejpam-4351	186	10	,	,	PUNCT
ejpam-4351	186	11	(	(	PUNCT
ejpam-4351	186	12	10	10	NUM
ejpam-4351	186	13	)	)	PUNCT
ejpam-4351	186	14	with	with	ADP
ejpam-4351	186	15	αk	αk	NOUN
ejpam-4351	186	16	>	>	X
ejpam-4351	186	17	0	0	NUM
ejpam-4351	186	18	,	,	PUNCT
ejpam-4351	186	19	0	0	PUNCT
ejpam-4351	186	20	<	<	X
ejpam-4351	186	21	ak	ak	X
ejpam-4351	186	22	<	<	X
ejpam-4351	186	23	1	1	NUM
ejpam-4351	186	24	and	and	CCONJ
ejpam-4351	186	25	0	0	NUM
ejpam-4351	186	26	<	<	X
ejpam-4351	186	27	bk	bk	X
ejpam-4351	186	28	<	<	X
ejpam-4351	186	29	ck	ck	INTJ
ejpam-4351	186	30	.	.	PUNCT
ejpam-4351	186	31	proof	proof	NOUN
ejpam-4351	186	32	.	.	PUNCT
ejpam-4351	187	1	for	for	ADP
ejpam-4351	187	2	i	i	PRON
ejpam-4351	187	3	=	=	NOUN
ejpam-4351	187	4	1	1	NUM
ejpam-4351	187	5	,	,	PUNCT
ejpam-4351	187	6	we	we	PRON
ejpam-4351	187	7	have	have	VERB
ejpam-4351	187	8	,	,	PUNCT
ejpam-4351	187	9	for	for	ADP
ejpam-4351	187	10	the	the	DET
ejpam-4351	187	11	generalized	generalize	VERB
ejpam-4351	187	12	quadratic	quadratic	ADJ
ejpam-4351	187	13	loss	loss	NOUN
ejpam-4351	187	14	function	function	NOUN
ejpam-4351	187	15	,	,	PUNCT
ejpam-4351	187	16	and	and	CCONJ
ejpam-4351	187	17	the	the	DET
ejpam-4351	187	18	prior	prior	ADJ
ejpam-4351	187	19	π1(ak	π1(ak	PROPN
ejpam-4351	187	20	,	,	PUNCT
ejpam-4351	187	21	bk	bk	NOUN
ejpam-4351	187	22	)	)	PUNCT
ejpam-4351	187	23	,	,	PUNCT
ejpam-4351	187	24	the	the	DET
ejpam-4351	187	25	e	e	NOUN
ejpam-4351	187	26	-	-	NOUN
ejpam-4351	187	27	bayesian	bayesian	ADJ
ejpam-4351	187	28	estimator	estimator	NOUN
ejpam-4351	187	29	of	of	ADP
ejpam-4351	187	30	βk	βk	ADV
ejpam-4351	187	31	given	give	VERB
ejpam-4351	187	32	by	by	ADP
ejpam-4351	187	33	:	:	PUNCT
ejpam-4351	187	34	β̂k(ebqg1	β̂k(ebqg1	NUM
ejpam-4351	187	35	)	)	PUNCT
ejpam-4351	188	1	=	=	SYM
ejpam-4351	188	2	∫	∫	PROPN
ejpam-4351	189	1	1	1	NUM
ejpam-4351	189	2	0	0	NUM
ejpam-4351	189	3	∫	∫	PROPN
ejpam-4351	189	4	ck	ck	INTJ
ejpam-4351	189	5	0	0	NUM
ejpam-4351	189	6	nk	nk	PROPN
ejpam-4351	189	7	+	+	PROPN
ejpam-4351	189	8	ak	ak	PROPN
ejpam-4351	190	1	+	+	X
ejpam-4351	190	2	α−	α−	ADP
ejpam-4351	190	3	1	1	NUM
ejpam-4351	190	4	bk	bk	VERB
ejpam-4351	190	5	+	+	NOUN
ejpam-4351	190	6	ak	ak	PROPN
ejpam-4351	190	7	αk	αk	NOUN
ejpam-4351	190	8	×	×	PROPN
ejpam-4351	190	9	1	1	NUM
ejpam-4351	190	10	ckb(uk	ckb(uk	NOUN
ejpam-4351	190	11	,	,	PUNCT
ejpam-4351	190	12	vk	vk	PROPN
ejpam-4351	190	13	)	)	PUNCT
ejpam-4351	190	14	×	×	NOUN
ejpam-4351	190	15	auk−1	auk−1	PROPN
ejpam-4351	190	16	k	k	X
ejpam-4351	190	17	(	(	PUNCT
ejpam-4351	190	18	1−	1−	NUM
ejpam-4351	190	19	ak	ak	PROPN
ejpam-4351	190	20	)	)	PUNCT
ejpam-4351	190	21	vk−1dbkdak	vk−1dbkdak	PROPN
ejpam-4351	191	1	=	=	SYM
ejpam-4351	191	2	∫	∫	PROPN
ejpam-4351	191	3	1	1	NUM
ejpam-4351	191	4	0	0	NUM
ejpam-4351	191	5	1	1	NUM
ejpam-4351	191	6	ckb(uk	ckb(uk	NOUN
ejpam-4351	191	7	,	,	PUNCT
ejpam-4351	191	8	vk	vk	PROPN
ejpam-4351	191	9	)	)	PUNCT
ejpam-4351	191	10	×	×	NOUN
ejpam-4351	191	11	auk−1	auk−1	PROPN
ejpam-4351	191	12	k	k	X
ejpam-4351	191	13	(	(	PUNCT
ejpam-4351	191	14	1−	1−	NUM
ejpam-4351	191	15	ak	ak	PROPN
ejpam-4351	191	16	)	)	PUNCT
ejpam-4351	191	17	vk−1	vk−1	PROPN
ejpam-4351	191	18	×	×	NOUN
ejpam-4351	191	19	(	(	PUNCT
ejpam-4351	191	20	∫	∫	PROPN
ejpam-4351	191	21	ck	ck	INTJ
ejpam-4351	191	22	0	0	NUM
ejpam-4351	191	23	nk	nk	PROPN
ejpam-4351	192	1	+	+	PROPN
ejpam-4351	192	2	ak	ak	PROPN
ejpam-4351	193	1	+	+	X
ejpam-4351	193	2	α−	α−	ADP
ejpam-4351	193	3	1	1	NUM
ejpam-4351	193	4	bk	bk	VERB
ejpam-4351	193	5	+	+	NOUN
ejpam-4351	193	6	ak	ak	PROPN
ejpam-4351	193	7	αk	αk	PROPN
ejpam-4351	193	8	dbk	dbk	PROPN
ejpam-4351	193	9	)	)	PUNCT
ejpam-4351	193	10	dak	dak	PROPN
ejpam-4351	193	11	=	=	SYM
ejpam-4351	193	12	∫	∫	PROPN
ejpam-4351	194	1	1	1	NUM
ejpam-4351	194	2	0	0	NUM
ejpam-4351	194	3	nk	nk	PROPN
ejpam-4351	194	4	+	+	PROPN
ejpam-4351	194	5	ak	ak	PROPN
ejpam-4351	195	1	+	+	X
ejpam-4351	195	2	α−	α−	ADP
ejpam-4351	195	3	1	1	NUM
ejpam-4351	195	4	ckb(uk	ckb(uk	NOUN
ejpam-4351	195	5	,	,	PUNCT
ejpam-4351	195	6	vk	vk	PROPN
ejpam-4351	195	7	)	)	PUNCT
ejpam-4351	195	8	×	×	NOUN
ejpam-4351	195	9	auk−1	auk−1	PROPN
ejpam-4351	195	10	k	k	X
ejpam-4351	195	11	(	(	PUNCT
ejpam-4351	195	12	1−	1−	NUM
ejpam-4351	195	13	ak	ak	PROPN
ejpam-4351	195	14	)	)	PUNCT
ejpam-4351	195	15	vk−1	vk−1	PROPN
ejpam-4351	195	16	×	×	NOUN
ejpam-4351	195	17	(	(	PUNCT
ejpam-4351	195	18	∫	∫	PROPN
ejpam-4351	195	19	ck	ck	INTJ
ejpam-4351	195	20	0	0	NUM
ejpam-4351	195	21	1	1	NUM
ejpam-4351	195	22	bk	bk	ADP
ejpam-4351	195	23	+	+	NOUN
ejpam-4351	195	24	ak	ak	PROPN
ejpam-4351	195	25	αk	αk	PROPN
ejpam-4351	195	26	dbk	dbk	PROPN
ejpam-4351	195	27	)	)	PUNCT
ejpam-4351	195	28	dak	dak	PROPN
ejpam-4351	195	29	=	=	SYM
ejpam-4351	195	30	∫	∫	PROPN
ejpam-4351	195	31	1	1	NUM
ejpam-4351	195	32	0	0	NUM
ejpam-4351	196	1	nk	nk	PROPN
ejpam-4351	196	2	+	+	PROPN
ejpam-4351	196	3	ak	ak	PROPN
ejpam-4351	197	1	+	+	X
ejpam-4351	197	2	α−	α−	ADP
ejpam-4351	197	3	1	1	NUM
ejpam-4351	197	4	ckb(uk	ckb(uk	NOUN
ejpam-4351	197	5	,	,	PUNCT
ejpam-4351	197	6	vk	vk	PROPN
ejpam-4351	197	7	)	)	PUNCT
ejpam-4351	197	8	×	×	NOUN
ejpam-4351	197	9	auk−1	auk−1	PROPN
ejpam-4351	197	10	k	k	X
ejpam-4351	197	11	(	(	PUNCT
ejpam-4351	197	12	1−	1−	NUM
ejpam-4351	197	13	ak	ak	PROPN
ejpam-4351	197	14	)	)	PUNCT
ejpam-4351	197	15	vk−1	vk−1	PROPN
ejpam-4351	197	16	×	×	NOUN
ejpam-4351	197	17	ln	ln	NOUN
ejpam-4351	197	18	(	(	PUNCT
ejpam-4351	197	19	1	1	NUM
ejpam-4351	197	20	+	+	CCONJ
ejpam-4351	197	21	ck	ck	PROPN
ejpam-4351	197	22	ak	ak	PROPN
ejpam-4351	197	23	αk	αk	NOUN
ejpam-4351	197	24	)	)	PUNCT
ejpam-4351	197	25	dak	dak	PROPN
ejpam-4351	197	26	=	=	SYM
ejpam-4351	197	27	1	1	NUM
ejpam-4351	197	28	ckb(uk	ckb(uk	NOUN
ejpam-4351	197	29	,	,	PUNCT
ejpam-4351	197	30	vk	vk	PROPN
ejpam-4351	197	31	)	)	PUNCT
ejpam-4351	197	32	×	×	NOUN
ejpam-4351	197	33	ln	ln	NOUN
ejpam-4351	197	34	(	(	PUNCT
ejpam-4351	197	35	1	1	NUM
ejpam-4351	197	36	+	+	CCONJ
ejpam-4351	197	37	ck	ck	PROPN
ejpam-4351	197	38	ak	ak	PROPN
ejpam-4351	197	39	αk	αk	NOUN
ejpam-4351	197	40	)	)	PUNCT
ejpam-4351	197	41	∫	∫	PROPN
ejpam-4351	198	1	1	1	NUM
ejpam-4351	198	2	0	0	NUM
ejpam-4351	198	3	(	(	PUNCT
ejpam-4351	198	4	nk	nk	PROPN
ejpam-4351	198	5	+	+	PROPN
ejpam-4351	198	6	ak	ak	PROPN
ejpam-4351	198	7	+	+	X
ejpam-4351	198	8	α−	α−	ADP
ejpam-4351	198	9	1)×	1)×	NUM
ejpam-4351	198	10	auk−1	auk−1	NOUN
ejpam-4351	198	11	k	k	X
ejpam-4351	198	12	(	(	PUNCT
ejpam-4351	198	13	1−	1−	NUM
ejpam-4351	198	14	ak	ak	PROPN
ejpam-4351	198	15	)	)	PUNCT
ejpam-4351	198	16	vk−1dak	vk−1dak	PROPN
ejpam-4351	198	17	;	;	PUNCT
ejpam-4351	198	18	=	=	SYM
ejpam-4351	198	19	1	1	NUM
ejpam-4351	198	20	ckb(uk	ckb(uk	NOUN
ejpam-4351	198	21	,	,	PUNCT
ejpam-4351	198	22	vk	vk	PROPN
ejpam-4351	198	23	)	)	PUNCT
ejpam-4351	198	24	×	×	NOUN
ejpam-4351	198	25	ln	ln	NOUN
ejpam-4351	198	26	(	(	PUNCT
ejpam-4351	198	27	1	1	NUM
ejpam-4351	198	28	+	+	CCONJ
ejpam-4351	198	29	ck	ck	PROPN
ejpam-4351	198	30	ak	ak	PROPN
ejpam-4351	198	31	αk	αk	NOUN
ejpam-4351	198	32	)	)	PUNCT
ejpam-4351	198	33	×	×	PROPN
ejpam-4351	198	34	i	i	NOUN
ejpam-4351	198	35	,	,	PUNCT
ejpam-4351	198	36	with	with	ADP
ejpam-4351	198	37	i	i	PRON
ejpam-4351	198	38	=	=	PUNCT
ejpam-4351	198	39	∫	∫	PROPN
ejpam-4351	198	40	1	1	NUM
ejpam-4351	198	41	0	0	NUM
ejpam-4351	198	42	(	(	PUNCT
ejpam-4351	198	43	nk	nk	PROPN
ejpam-4351	198	44	+	+	PROPN
ejpam-4351	198	45	ak	ak	PROPN
ejpam-4351	198	46	+	+	X
ejpam-4351	198	47	α−	α−	ADP
ejpam-4351	198	48	1)×	1)×	NUM
ejpam-4351	198	49	auk−1	auk−1	NOUN
ejpam-4351	198	50	k	k	X
ejpam-4351	198	51	(	(	PUNCT
ejpam-4351	198	52	1−	1−	NUM
ejpam-4351	198	53	ak	ak	PROPN
ejpam-4351	198	54	)	)	PUNCT
ejpam-4351	198	55	vk−1dak	vk−1dak	PROPN
ejpam-4351	198	56	.	.	PUNCT
ejpam-4351	199	1	one	one	NUM
ejpam-4351	199	2	has	have	VERB
ejpam-4351	199	3	the	the	DET
ejpam-4351	199	4	following	follow	VERB
ejpam-4351	199	5	equalities	equality	NOUN
ejpam-4351	199	6	:	:	PUNCT
ejpam-4351	200	1	i	i	PRON
ejpam-4351	200	2	=	=	PUNCT
ejpam-4351	200	3	∫	∫	PROPN
ejpam-4351	200	4	1	1	NUM
ejpam-4351	200	5	0	0	NUM
ejpam-4351	201	1	(	(	PUNCT
ejpam-4351	201	2	nk	nk	PROPN
ejpam-4351	201	3	+	+	PROPN
ejpam-4351	201	4	ak	ak	PROPN
ejpam-4351	201	5	+	+	X
ejpam-4351	201	6	α−	α−	ADP
ejpam-4351	201	7	1)×	1)×	NUM
ejpam-4351	201	8	auk−1	auk−1	NOUN
ejpam-4351	201	9	k	k	X
ejpam-4351	201	10	(	(	PUNCT
ejpam-4351	201	11	1−	1−	NUM
ejpam-4351	201	12	ak	ak	PROPN
ejpam-4351	201	13	)	)	PUNCT
ejpam-4351	201	14	vk−1dak	vk−1dak	PROPN
ejpam-4351	202	1	+	+	NUM
ejpam-4351	202	2	∫	∫	PROPN
ejpam-4351	202	3	1	1	NUM
ejpam-4351	202	4	0	0	NUM
ejpam-4351	202	5	auk	auk	NOUN
ejpam-4351	202	6	k	k	PROPN
ejpam-4351	202	7	(	(	PUNCT
ejpam-4351	202	8	1−	1−	NUM
ejpam-4351	202	9	ak	ak	PROPN
ejpam-4351	202	10	)	)	PUNCT
ejpam-4351	202	11	vk−1dak	vk−1dak	PROPN
ejpam-4351	202	12	=	=	SYM
ejpam-4351	202	13	∫	∫	PROPN
ejpam-4351	203	1	1	1	NUM
ejpam-4351	203	2	0	0	NUM
ejpam-4351	204	1	[	[	X
ejpam-4351	204	2	(	(	PUNCT
ejpam-4351	204	3	nk	nk	NOUN
ejpam-4351	204	4	+	+	X
ejpam-4351	204	5	α−	α−	ADP
ejpam-4351	204	6	1	1	NUM
ejpam-4351	204	7	)	)	PUNCT
ejpam-4351	204	8	+	+	CCONJ
ejpam-4351	204	9	ak]a	ak]a	PROPN
ejpam-4351	204	10	uk−1	uk−1	PROPN
ejpam-4351	204	11	k	k	PROPN
ejpam-4351	204	12	(	(	PUNCT
ejpam-4351	204	13	1−	1−	NUM
ejpam-4351	204	14	ak	ak	PROPN
ejpam-4351	204	15	)	)	PUNCT
ejpam-4351	204	16	vk−1	vk−1	PROPN
ejpam-4351	204	17	d.	d.	PROPN
ejpam-4351	204	18	a.	a.	PROPN
ejpam-4351	204	19	n.	n.	PROPN
ejpam-4351	204	20	njamen	njamen	PROPN
ejpam-4351	204	21	et	et	PROPN
ejpam-4351	204	22	al	al	PROPN
ejpam-4351	204	23	.	.	PUNCT
ejpam-4351	204	24	/	/	SYM
ejpam-4351	204	25	eur	eur	PROPN
ejpam-4351	204	26	.	.	PUNCT
ejpam-4351	205	1	j.	j.	PROPN
ejpam-4351	205	2	pure	pure	PROPN
ejpam-4351	205	3	appl	appl	PROPN
ejpam-4351	205	4	.	.	PROPN
ejpam-4351	205	5	math	math	PROPN
ejpam-4351	205	6	,	,	PUNCT
ejpam-4351	205	7	15	15	NUM
ejpam-4351	205	8	(	(	PUNCT
ejpam-4351	205	9	2	2	NUM
ejpam-4351	205	10	)	)	PUNCT
ejpam-4351	205	11	(	(	PUNCT
ejpam-4351	205	12	2022	2022	NUM
ejpam-4351	205	13	)	)	PUNCT
ejpam-4351	205	14	,	,	PUNCT
ejpam-4351	205	15	753	753	NUM
ejpam-4351	205	16	-	-	SYM
ejpam-4351	205	17	773	773	NUM
ejpam-4351	205	18	762	762	NUM
ejpam-4351	205	19	=	=	SYM
ejpam-4351	205	20	(	(	PUNCT
ejpam-4351	205	21	nk	nk	PROPN
ejpam-4351	206	1	+	+	X
ejpam-4351	206	2	α−	α−	ADP
ejpam-4351	206	3	1	1	NUM
ejpam-4351	206	4	)	)	PUNCT
ejpam-4351	206	5	∫	∫	PROPN
ejpam-4351	206	6	1	1	NUM
ejpam-4351	206	7	0	0	NUM
ejpam-4351	206	8	(	(	PUNCT
ejpam-4351	206	9	auk−1	auk−1	X
ejpam-4351	206	10	k	k	PROPN
ejpam-4351	206	11	)	)	PUNCT
ejpam-4351	206	12	dak	dak	PROPN
ejpam-4351	207	1	+	+	CCONJ
ejpam-4351	207	2	∫	∫	PROPN
ejpam-4351	207	3	1	1	NUM
ejpam-4351	207	4	0	0	NUM
ejpam-4351	207	5	aka	aka	ADV
ejpam-4351	207	6	uk−1	uk−1	PROPN
ejpam-4351	207	7	k	k	PROPN
ejpam-4351	207	8	(	(	PUNCT
ejpam-4351	207	9	1−	1−	NUM
ejpam-4351	207	10	ak	ak	PROPN
ejpam-4351	207	11	)	)	PUNCT
ejpam-4351	207	12	vk−1dak	vk−1dak	PROPN
ejpam-4351	207	13	=	=	SYM
ejpam-4351	208	1	(	(	PUNCT
ejpam-4351	208	2	nk	nk	PROPN
ejpam-4351	208	3	+	+	X
ejpam-4351	208	4	α−	α−	ADP
ejpam-4351	208	5	1	1	NUM
ejpam-4351	208	6	)	)	PUNCT
ejpam-4351	208	7	∫	∫	PROPN
ejpam-4351	208	8	1	1	NUM
ejpam-4351	208	9	0	0	NUM
ejpam-4351	208	10	(	(	PUNCT
ejpam-4351	208	11	auk−1	auk−1	X
ejpam-4351	208	12	k	k	PROPN
ejpam-4351	208	13	)	)	PUNCT
ejpam-4351	208	14	dak	dak	PROPN
ejpam-4351	209	1	+	+	CCONJ
ejpam-4351	209	2	∫	∫	PROPN
ejpam-4351	210	1	1	1	NUM
ejpam-4351	210	2	0	0	NUM
ejpam-4351	210	3	a	a	PRON
ejpam-4351	210	4	(	(	PUNCT
ejpam-4351	210	5	uk−1)+1	uk−1)+1	NOUN
ejpam-4351	210	6	k	k	X
ejpam-4351	210	7	(	(	PUNCT
ejpam-4351	210	8	1−	1−	NUM
ejpam-4351	210	9	ak	ak	PROPN
ejpam-4351	210	10	)	)	PUNCT
ejpam-4351	210	11	vk−1dak	vk−1dak	PROPN
ejpam-4351	210	12	=	=	SYM
ejpam-4351	211	1	(	(	PUNCT
ejpam-4351	211	2	nk	nk	PROPN
ejpam-4351	211	3	+	+	X
ejpam-4351	211	4	α−	α−	ADP
ejpam-4351	211	5	1	1	NUM
ejpam-4351	211	6	)	)	PUNCT
ejpam-4351	211	7	∫	∫	PROPN
ejpam-4351	211	8	1	1	NUM
ejpam-4351	211	9	0	0	NUM
ejpam-4351	211	10	(	(	PUNCT
ejpam-4351	211	11	auk−1	auk−1	X
ejpam-4351	211	12	k	k	PROPN
ejpam-4351	211	13	)	)	PUNCT
ejpam-4351	211	14	dak	dak	PROPN
ejpam-4351	212	1	+	+	CCONJ
ejpam-4351	212	2	∫	∫	PROPN
ejpam-4351	213	1	1	1	NUM
ejpam-4351	213	2	0	0	NUM
ejpam-4351	213	3	a	a	DET
ejpam-4351	213	4	(	(	PUNCT
ejpam-4351	213	5	uk+1)−1	uk+1)−1	PROPN
ejpam-4351	213	6	k	k	X
ejpam-4351	213	7	(	(	PUNCT
ejpam-4351	213	8	1−	1−	NUM
ejpam-4351	213	9	ak	ak	PROPN
ejpam-4351	213	10	)	)	PUNCT
ejpam-4351	213	11	vk−1dak	vk−1dak	PROPN
ejpam-4351	213	12	=	=	SYM
ejpam-4351	213	13	(	(	PUNCT
ejpam-4351	213	14	nk	nk	PROPN
ejpam-4351	213	15	+	+	X
ejpam-4351	213	16	α−	α−	ADP
ejpam-4351	213	17	1)b(uk	1)b(uk	NUM
ejpam-4351	213	18	,	,	PUNCT
ejpam-4351	213	19	vk	vk	PROPN
ejpam-4351	213	20	)	)	PUNCT
ejpam-4351	214	1	+	+	ADV
ejpam-4351	214	2	b(uk	b(uk	VERB
ejpam-4351	214	3	+	+	NOUN
ejpam-4351	214	4	1	1	NUM
ejpam-4351	214	5	,	,	PUNCT
ejpam-4351	214	6	vk	vk	NOUN
ejpam-4351	214	7	)	)	PUNCT
ejpam-4351	214	8	by	by	ADP
ejpam-4351	214	9	(	(	PUNCT
ejpam-4351	214	10	i	i	NOUN
ejpam-4351	214	11	)	)	PUNCT
ejpam-4351	214	12	=	=	SYM
ejpam-4351	215	1	(	(	PUNCT
ejpam-4351	215	2	nk	nk	PROPN
ejpam-4351	215	3	+	+	X
ejpam-4351	215	4	α−	α−	ADP
ejpam-4351	215	5	1)b(uk	1)b(uk	NUM
ejpam-4351	215	6	,	,	PUNCT
ejpam-4351	215	7	vk	vk	PROPN
ejpam-4351	215	8	)	)	PUNCT
ejpam-4351	215	9	+	+	NOUN
ejpam-4351	215	10	b(vk	b(vk	PROPN
ejpam-4351	215	11	,	,	PUNCT
ejpam-4351	215	12	uk	uk	PROPN
ejpam-4351	215	13	+	+	PROPN
ejpam-4351	215	14	1	1	NUM
ejpam-4351	215	15	)	)	PUNCT
ejpam-4351	215	16	since	since	SCONJ
ejpam-4351	215	17	b(x	b(x	NOUN
ejpam-4351	215	18	,	,	PUNCT
ejpam-4351	215	19	y	y	NOUN
ejpam-4351	215	20	)	)	PUNCT
ejpam-4351	216	1	=	=	SYM
ejpam-4351	216	2	b(y	b(y	PROPN
ejpam-4351	216	3	,	,	PUNCT
ejpam-4351	216	4	x	x	X
ejpam-4351	216	5	)	)	PUNCT
ejpam-4351	216	6	=	=	SYM
ejpam-4351	216	7	(	(	PUNCT
ejpam-4351	216	8	nk	nk	PROPN
ejpam-4351	216	9	+	+	X
ejpam-4351	216	10	α−	α−	ADP
ejpam-4351	216	11	1)b(uk	1)b(uk	NUM
ejpam-4351	216	12	,	,	PUNCT
ejpam-4351	216	13	vk	vk	PROPN
ejpam-4351	216	14	)	)	PUNCT
ejpam-4351	216	15	+	+	CCONJ
ejpam-4351	216	16	uk	uk	PROPN
ejpam-4351	216	17	uk	uk	PROPN
ejpam-4351	216	18	+	+	CCONJ
ejpam-4351	216	19	vk	vk	PROPN
ejpam-4351	216	20	b(uk	b(uk	PROPN
ejpam-4351	216	21	,	,	PUNCT
ejpam-4351	216	22	vk	vk	NOUN
ejpam-4351	216	23	)	)	PUNCT
ejpam-4351	216	24	by	by	ADP
ejpam-4351	216	25	(	(	PUNCT
ejpam-4351	216	26	ii	ii	NOUN
ejpam-4351	216	27	)	)	PUNCT
ejpam-4351	216	28	=	=	PRON
ejpam-4351	217	1	(	(	PUNCT
ejpam-4351	217	2	nk	nk	PROPN
ejpam-4351	217	3	+	+	CCONJ
ejpam-4351	217	4	α−	α−	ADP
ejpam-4351	217	5	1	1	NUM
ejpam-4351	217	6	+	+	NUM
ejpam-4351	217	7	uk	uk	PROPN
ejpam-4351	217	8	uk	uk	PROPN
ejpam-4351	217	9	+	+	CCONJ
ejpam-4351	217	10	vk	vk	PROPN
ejpam-4351	217	11	)	)	PUNCT
ejpam-4351	217	12	b(uk	b(uk	PROPN
ejpam-4351	217	13	,	,	PUNCT
ejpam-4351	217	14	vk	vk	NOUN
ejpam-4351	217	15	)	)	PUNCT
ejpam-4351	217	16	.	.	PUNCT
ejpam-4351	218	1	(	(	PUNCT
ejpam-4351	218	2	11	11	X
ejpam-4351	218	3	)	)	PUNCT
ejpam-4351	218	4	it	it	PRON
ejpam-4351	218	5	results	result	VERB
ejpam-4351	218	6	from	from	ADP
ejpam-4351	218	7	above	above	ADP
ejpam-4351	218	8	that	that	PRON
ejpam-4351	218	9	β̂k(ebqg1	β̂k(ebqg1	NUM
ejpam-4351	218	10	)	)	PUNCT
ejpam-4351	219	1	=	=	SYM
ejpam-4351	219	2	1	1	NUM
ejpam-4351	219	3	ckb(uk	ckb(uk	NOUN
ejpam-4351	219	4	,	,	PUNCT
ejpam-4351	219	5	vk	vk	PROPN
ejpam-4351	219	6	)	)	PUNCT
ejpam-4351	219	7	×	×	NOUN
ejpam-4351	219	8	ln	ln	NOUN
ejpam-4351	219	9	(	(	PUNCT
ejpam-4351	219	10	1	1	NUM
ejpam-4351	219	11	+	+	CCONJ
ejpam-4351	219	12	ck	ck	PROPN
ejpam-4351	219	13	ak	ak	PROPN
ejpam-4351	219	14	ck	ck	PROPN
ejpam-4351	219	15	)	)	PUNCT
ejpam-4351	219	16	×	×	NOUN
ejpam-4351	219	17	[	[	PUNCT
ejpam-4351	219	18	nk	nk	NOUN
ejpam-4351	220	1	+	+	CCONJ
ejpam-4351	220	2	α−	α−	ADP
ejpam-4351	220	3	1	1	NUM
ejpam-4351	220	4	+	+	NUM
ejpam-4351	220	5	uk	uk	PROPN
ejpam-4351	220	6	uk	uk	PROPN
ejpam-4351	220	7	+	+	CCONJ
ejpam-4351	220	8	vk	vk	X
ejpam-4351	220	9	]	]	PUNCT
ejpam-4351	220	10	b(uk	b(uk	NUM
ejpam-4351	220	11	,	,	PUNCT
ejpam-4351	220	12	vk	vk	X
ejpam-4351	220	13	)	)	PUNCT
ejpam-4351	220	14	=	=	SYM
ejpam-4351	221	1	1	1	NUM
ejpam-4351	221	2	ck	ck	INTJ
ejpam-4351	221	3	ln	ln	NOUN
ejpam-4351	222	1	(	(	PUNCT
ejpam-4351	222	2	1	1	NUM
ejpam-4351	222	3	+	+	CCONJ
ejpam-4351	222	4	ck	ck	PROPN
ejpam-4351	222	5	ak	ak	PROPN
ejpam-4351	222	6	ck	ck	PROPN
ejpam-4351	222	7	)	)	PUNCT
ejpam-4351	222	8	×	×	NOUN
ejpam-4351	222	9	[	[	PUNCT
ejpam-4351	222	10	nk	nk	NOUN
ejpam-4351	223	1	+	+	CCONJ
ejpam-4351	223	2	α−	α−	ADP
ejpam-4351	223	3	1	1	NUM
ejpam-4351	223	4	+	+	NUM
ejpam-4351	223	5	uk	uk	PROPN
ejpam-4351	223	6	uk	uk	PROPN
ejpam-4351	223	7	+	+	CCONJ
ejpam-4351	223	8	vk	vk	X
ejpam-4351	223	9	]	]	PUNCT
ejpam-4351	223	10	.	.	PUNCT
ejpam-4351	224	1	for	for	ADP
ejpam-4351	224	2	i	i	PRON
ejpam-4351	224	3	=	=	NOUN
ejpam-4351	224	4	2	2	NUM
ejpam-4351	224	5	,	,	PUNCT
ejpam-4351	224	6	we	we	PRON
ejpam-4351	224	7	have	have	VERB
ejpam-4351	224	8	for	for	ADP
ejpam-4351	224	9	the	the	DET
ejpam-4351	224	10	generalized	generalize	VERB
ejpam-4351	224	11	quadratic	quadratic	ADJ
ejpam-4351	224	12	loss	loss	NOUN
ejpam-4351	224	13	function	function	NOUN
ejpam-4351	224	14	,	,	PUNCT
ejpam-4351	224	15	and	and	CCONJ
ejpam-4351	224	16	for	for	ADP
ejpam-4351	224	17	the	the	DET
ejpam-4351	224	18	prior	prior	ADJ
ejpam-4351	224	19	π2(ak	π2(ak	PROPN
ejpam-4351	224	20	,	,	PUNCT
ejpam-4351	224	21	bk	bk	PROPN
ejpam-4351	224	22	)	)	PUNCT
ejpam-4351	224	23	,	,	PUNCT
ejpam-4351	224	24	the	the	DET
ejpam-4351	224	25	e	e	NOUN
ejpam-4351	224	26	-	-	NOUN
ejpam-4351	224	27	bayesian	bayesian	ADJ
ejpam-4351	224	28	estimator	estimator	NOUN
ejpam-4351	224	29	of	of	ADP
ejpam-4351	224	30	βk	βk	ADV
ejpam-4351	224	31	given	give	VERB
ejpam-4351	224	32	by	by	ADP
ejpam-4351	224	33	:	:	PUNCT
ejpam-4351	224	34	β̂k(ebqg2	β̂k(ebqg2	X
ejpam-4351	224	35	)	)	PUNCT
ejpam-4351	225	1	=	=	SYM
ejpam-4351	225	2	∫	∫	PROPN
ejpam-4351	226	1	1	1	NUM
ejpam-4351	226	2	0	0	NUM
ejpam-4351	226	3	∫	∫	PROPN
ejpam-4351	226	4	ck	ck	INTJ
ejpam-4351	226	5	0	0	NUM
ejpam-4351	226	6	nk	nk	PROPN
ejpam-4351	226	7	+	+	PROPN
ejpam-4351	226	8	ak	ak	PROPN
ejpam-4351	227	1	+	+	X
ejpam-4351	227	2	α−	α−	ADP
ejpam-4351	227	3	1	1	NUM
ejpam-4351	227	4	bk	bk	VERB
ejpam-4351	227	5	+	+	NOUN
ejpam-4351	227	6	ak	ak	PROPN
ejpam-4351	227	7	αk	αk	CCONJ
ejpam-4351	227	8	×	×	PROPN
ejpam-4351	227	9	2	2	NUM
ejpam-4351	227	10	c2kb(uk	c2kb(uk	PROPN
ejpam-4351	227	11	,	,	PUNCT
ejpam-4351	227	12	vk	vk	PROPN
ejpam-4351	227	13	)	)	PUNCT
ejpam-4351	227	14	(	(	PUNCT
ejpam-4351	227	15	ck	ck	INTJ
ejpam-4351	227	16	−	−	PROPN
ejpam-4351	228	1	bk)a	bk)a	PROPN
ejpam-4351	228	2	uk−1	uk−1	PROPN
ejpam-4351	228	3	k	k	PROPN
ejpam-4351	228	4	(	(	PUNCT
ejpam-4351	228	5	1−	1−	NUM
ejpam-4351	228	6	ak	ak	PROPN
ejpam-4351	228	7	)	)	PUNCT
ejpam-4351	228	8	vk−1dbkdak	vk−1dbkdak	PROPN
ejpam-4351	228	9	=	=	SYM
ejpam-4351	229	1	∫	∫	PROPN
ejpam-4351	229	2	1	1	NUM
ejpam-4351	229	3	0	0	NUM
ejpam-4351	229	4	2(nk	2(nk	NOUN
ejpam-4351	230	1	+	+	CCONJ
ejpam-4351	230	2	ak	ak	PROPN
ejpam-4351	230	3	+	+	CCONJ
ejpam-4351	230	4	α−	α−	ADP
ejpam-4351	230	5	1	1	NUM
ejpam-4351	230	6	)	)	PUNCT
ejpam-4351	230	7	c2kb(uk	c2kb(uk	PROPN
ejpam-4351	230	8	,	,	PUNCT
ejpam-4351	230	9	vk	vk	PROPN
ejpam-4351	230	10	)	)	PUNCT
ejpam-4351	230	11	×	×	NOUN
ejpam-4351	230	12	auk−1	auk−1	PROPN
ejpam-4351	230	13	k	k	X
ejpam-4351	230	14	(	(	PUNCT
ejpam-4351	230	15	1−	1−	NUM
ejpam-4351	230	16	ak	ak	PROPN
ejpam-4351	230	17	)	)	PUNCT
ejpam-4351	230	18	vk−1	vk−1	PROPN
ejpam-4351	230	19	(	(	PUNCT
ejpam-4351	230	20	∫	∫	PROPN
ejpam-4351	230	21	ck	ck	INTJ
ejpam-4351	230	22	0	0	NUM
ejpam-4351	231	1	ck	ck	NOUN
ejpam-4351	231	2	−	−	NOUN
ejpam-4351	232	1	bk	bk	INTJ
ejpam-4351	232	2	bk	bk	ADP
ejpam-4351	233	1	+	+	NOUN
ejpam-4351	233	2	ak	ak	PROPN
ejpam-4351	233	3	αk	αk	PROPN
ejpam-4351	233	4	dbk	dbk	PROPN
ejpam-4351	233	5	)	)	PUNCT
ejpam-4351	233	6	dak	dak	PROPN
ejpam-4351	233	7	=	=	SYM
ejpam-4351	233	8	∫	∫	PROPN
ejpam-4351	233	9	1	1	NUM
ejpam-4351	233	10	0	0	NUM
ejpam-4351	233	11	2(nk	2(nk	NOUN
ejpam-4351	233	12	+	+	CCONJ
ejpam-4351	233	13	ak	ak	PROPN
ejpam-4351	234	1	+	+	CCONJ
ejpam-4351	234	2	α−	α−	ADP
ejpam-4351	234	3	1	1	NUM
ejpam-4351	234	4	)	)	PUNCT
ejpam-4351	234	5	c2kb(uk	c2kb(uk	PROPN
ejpam-4351	234	6	,	,	PUNCT
ejpam-4351	234	7	vk	vk	PROPN
ejpam-4351	234	8	)	)	PUNCT
ejpam-4351	234	9	×	×	NOUN
ejpam-4351	234	10	auk−1	auk−1	PROPN
ejpam-4351	234	11	k	k	X
ejpam-4351	234	12	(	(	PUNCT
ejpam-4351	234	13	1−	1−	NUM
ejpam-4351	234	14	ak	ak	PROPN
ejpam-4351	234	15	)	)	PUNCT
ejpam-4351	234	16	vk−1	vk−1	PROPN
ejpam-4351	234	17	[	[	PUNCT
ejpam-4351	234	18	−bk	−bk	X
ejpam-4351	234	19	+	+	CCONJ
ejpam-4351	234	20	(	(	PUNCT
ejpam-4351	234	21	ck	ck	INTJ
ejpam-4351	234	22	+	+	NUM
ejpam-4351	234	23	ak	ak	PROPN
ejpam-4351	234	24	αk	αk	NOUN
ejpam-4351	234	25	)	)	PUNCT
ejpam-4351	234	26	ln	ln	NOUN
ejpam-4351	234	27	(	(	PUNCT
ejpam-4351	234	28	bk	bk	NOUN
ejpam-4351	234	29	+	+	NOUN
ejpam-4351	234	30	ak	ak	PROPN
ejpam-4351	234	31	αk	αk	NOUN
ejpam-4351	234	32	)	)	PUNCT
ejpam-4351	234	33	]	]	X
ejpam-4351	234	34	ck	ck	PROPN
ejpam-4351	234	35	0	0	NUM
ejpam-4351	234	36	dak	dak	PROPN
ejpam-4351	234	37	=	=	SYM
ejpam-4351	234	38	∫	∫	PROPN
ejpam-4351	235	1	1	1	NUM
ejpam-4351	235	2	0	0	NUM
ejpam-4351	235	3	2(nk	2(nk	NOUN
ejpam-4351	235	4	+	+	CCONJ
ejpam-4351	235	5	ak	ak	PROPN
ejpam-4351	235	6	+	+	CCONJ
ejpam-4351	235	7	α−	α−	ADP
ejpam-4351	235	8	1	1	NUM
ejpam-4351	235	9	)	)	PUNCT
ejpam-4351	235	10	c2kb(uk	c2kb(uk	PROPN
ejpam-4351	235	11	,	,	PUNCT
ejpam-4351	235	12	vk	vk	PROPN
ejpam-4351	235	13	)	)	PUNCT
ejpam-4351	235	14	×	×	NOUN
ejpam-4351	235	15	auk−1	auk−1	PROPN
ejpam-4351	235	16	k	k	X
ejpam-4351	235	17	(	(	PUNCT
ejpam-4351	235	18	1−	1−	NUM
ejpam-4351	235	19	ak	ak	PROPN
ejpam-4351	235	20	)	)	PUNCT
ejpam-4351	235	21	vk−1	vk−1	PROPN
ejpam-4351	235	22	[	[	PUNCT
ejpam-4351	235	23	−ck	−ck	NOUN
ejpam-4351	235	24	+	+	CCONJ
ejpam-4351	235	25	(	(	PUNCT
ejpam-4351	235	26	ck	ck	INTJ
ejpam-4351	235	27	+	+	NUM
ejpam-4351	235	28	ak	ak	PROPN
ejpam-4351	235	29	αk	αk	NOUN
ejpam-4351	235	30	)	)	PUNCT
ejpam-4351	235	31	ln	ln	NOUN
ejpam-4351	235	32	(	(	PUNCT
ejpam-4351	235	33	1	1	NUM
ejpam-4351	235	34	+	+	CCONJ
ejpam-4351	235	35	ck	ck	PROPN
ejpam-4351	235	36	ak	ak	PROPN
ejpam-4351	235	37	αk	αk	NOUN
ejpam-4351	235	38	)	)	PUNCT
ejpam-4351	235	39	]	]	PUNCT
ejpam-4351	236	1	dak	dak	PROPN
ejpam-4351	236	2	=	=	SYM
ejpam-4351	236	3	2	2	PROPN
ejpam-4351	236	4	[	[	PUNCT
ejpam-4351	236	5	−ck	−ck	NOUN
ejpam-4351	236	6	+	+	CCONJ
ejpam-4351	236	7	(	(	PUNCT
ejpam-4351	236	8	ck	ck	INTJ
ejpam-4351	236	9	+	+	NUM
ejpam-4351	236	10	ak	ak	PROPN
ejpam-4351	236	11	αk	αk	NOUN
ejpam-4351	236	12	)	)	PUNCT
ejpam-4351	236	13	ln	ln	NOUN
ejpam-4351	236	14	(	(	PUNCT
ejpam-4351	236	15	1	1	NUM
ejpam-4351	236	16	+	+	CCONJ
ejpam-4351	236	17	ck	ck	PROPN
ejpam-4351	236	18	ak	ak	PROPN
ejpam-4351	236	19	αk	αk	NOUN
ejpam-4351	236	20	)	)	PUNCT
ejpam-4351	236	21	]	]	PUNCT
ejpam-4351	237	1	c2kb(uk	c2kb(uk	PROPN
ejpam-4351	237	2	,	,	PUNCT
ejpam-4351	237	3	vk	vk	PROPN
ejpam-4351	237	4	)	)	PUNCT
ejpam-4351	237	5	∫	∫	PROPN
ejpam-4351	237	6	1	1	NUM
ejpam-4351	237	7	0	0	NUM
ejpam-4351	238	1	(	(	PUNCT
ejpam-4351	238	2	nk	nk	PROPN
ejpam-4351	238	3	+	+	PROPN
ejpam-4351	238	4	ak	ak	PROPN
ejpam-4351	239	1	+	+	X
ejpam-4351	239	2	α−	α−	ADP
ejpam-4351	239	3	1)auk−1	1)auk−1	NUM
ejpam-4351	239	4	k	k	NOUN
ejpam-4351	239	5	(	(	PUNCT
ejpam-4351	239	6	1−	1−	NUM
ejpam-4351	239	7	ak	ak	PROPN
ejpam-4351	239	8	)	)	PUNCT
ejpam-4351	239	9	vk−1dak	vk−1dak	PROPN
ejpam-4351	240	1	=	=	SYM
ejpam-4351	240	2	2	2	NUM
ejpam-4351	240	3	[	[	PUNCT
ejpam-4351	240	4	−ck	−ck	NOUN
ejpam-4351	241	1	+	+	CCONJ
ejpam-4351	241	2	(	(	PUNCT
ejpam-4351	241	3	ck	ck	INTJ
ejpam-4351	241	4	+	+	NUM
ejpam-4351	241	5	ak	ak	PROPN
ejpam-4351	241	6	αk	αk	NOUN
ejpam-4351	241	7	)	)	PUNCT
ejpam-4351	241	8	ln	ln	NOUN
ejpam-4351	241	9	(	(	PUNCT
ejpam-4351	241	10	1	1	NUM
ejpam-4351	241	11	+	+	CCONJ
ejpam-4351	241	12	ck	ck	PROPN
ejpam-4351	241	13	ak	ak	PROPN
ejpam-4351	241	14	αk	αk	NOUN
ejpam-4351	241	15	)	)	PUNCT
ejpam-4351	241	16	]	]	PUNCT
ejpam-4351	242	1	c2kb(uk	c2kb(uk	PROPN
ejpam-4351	242	2	,	,	PUNCT
ejpam-4351	242	3	vk	vk	PROPN
ejpam-4351	242	4	)	)	PUNCT
ejpam-4351	242	5	×	×	NOUN
ejpam-4351	243	1	i	i	NOUN
ejpam-4351	243	2	=	=	NOUN
ejpam-4351	243	3	2	2	X
ejpam-4351	243	4	[	[	PUNCT
ejpam-4351	243	5	−ck	−ck	NOUN
ejpam-4351	243	6	+	+	CCONJ
ejpam-4351	243	7	(	(	PUNCT
ejpam-4351	243	8	ck	ck	INTJ
ejpam-4351	243	9	+	+	NUM
ejpam-4351	243	10	ak	ak	PROPN
ejpam-4351	243	11	αk	αk	NOUN
ejpam-4351	243	12	)	)	PUNCT
ejpam-4351	243	13	ln	ln	NOUN
ejpam-4351	243	14	(	(	PUNCT
ejpam-4351	243	15	1	1	NUM
ejpam-4351	243	16	+	+	CCONJ
ejpam-4351	243	17	ck	ck	PROPN
ejpam-4351	243	18	ak	ak	PROPN
ejpam-4351	243	19	αk	αk	NOUN
ejpam-4351	243	20	)	)	PUNCT
ejpam-4351	243	21	]	]	PUNCT
ejpam-4351	243	22	c2kb(uk	c2kb(uk	PROPN
ejpam-4351	243	23	,	,	PUNCT
ejpam-4351	243	24	vk	vk	NOUN
ejpam-4351	243	25	)	)	PUNCT
ejpam-4351	243	26	×b(uk	×b(uk	NOUN
ejpam-4351	243	27	,	,	PUNCT
ejpam-4351	243	28	vk	vk	PROPN
ejpam-4351	243	29	)	)	PUNCT
ejpam-4351	243	30	[	[	PUNCT
ejpam-4351	243	31	(	(	PUNCT
ejpam-4351	243	32	nk	nk	NOUN
ejpam-4351	243	33	+	+	X
ejpam-4351	243	34	α−	α−	ADP
ejpam-4351	243	35	1	1	NUM
ejpam-4351	243	36	)	)	PUNCT
ejpam-4351	243	37	+	+	CCONJ
ejpam-4351	243	38	uk	uk	PROPN
ejpam-4351	243	39	uk	uk	PROPN
ejpam-4351	243	40	+	+	CCONJ
ejpam-4351	243	41	vk	vk	X
ejpam-4351	243	42	]	]	PUNCT
ejpam-4351	243	43	by	by	ADP
ejpam-4351	243	44	(	(	PUNCT
ejpam-4351	243	45	14	14	NUM
ejpam-4351	243	46	)	)	PUNCT
ejpam-4351	243	47	d.	d.	PROPN
ejpam-4351	243	48	a.	a.	PROPN
ejpam-4351	243	49	n.	n.	PROPN
ejpam-4351	243	50	njamen	njamen	PROPN
ejpam-4351	243	51	et	et	PROPN
ejpam-4351	243	52	al	al	PROPN
ejpam-4351	243	53	.	.	PUNCT
ejpam-4351	243	54	/	/	SYM
ejpam-4351	243	55	eur	eur	PROPN
ejpam-4351	243	56	.	.	PUNCT
ejpam-4351	244	1	j.	j.	PROPN
ejpam-4351	244	2	pure	pure	PROPN
ejpam-4351	244	3	appl	appl	PROPN
ejpam-4351	244	4	.	.	PROPN
ejpam-4351	244	5	math	math	PROPN
ejpam-4351	244	6	,	,	PUNCT
ejpam-4351	244	7	15	15	NUM
ejpam-4351	244	8	(	(	PUNCT
ejpam-4351	244	9	2	2	NUM
ejpam-4351	244	10	)	)	PUNCT
ejpam-4351	244	11	(	(	PUNCT
ejpam-4351	244	12	2022	2022	NUM
ejpam-4351	244	13	)	)	PUNCT
ejpam-4351	244	14	,	,	PUNCT
ejpam-4351	244	15	753	753	NUM
ejpam-4351	244	16	-	-	SYM
ejpam-4351	244	17	773	773	NUM
ejpam-4351	244	18	763	763	NUM
ejpam-4351	244	19	=	=	SYM
ejpam-4351	245	1	2c−2	2c−2	NUM
ejpam-4351	245	2	k	k	NOUN
ejpam-4351	245	3	[	[	PUNCT
ejpam-4351	245	4	−ck	−ck	PROPN
ejpam-4351	245	5	+	+	CCONJ
ejpam-4351	245	6	(	(	PUNCT
ejpam-4351	245	7	ck	ck	INTJ
ejpam-4351	245	8	+	+	NUM
ejpam-4351	245	9	ak	ak	PROPN
ejpam-4351	245	10	αk	αk	NOUN
ejpam-4351	245	11	)	)	PUNCT
ejpam-4351	245	12	ln	ln	NOUN
ejpam-4351	245	13	(	(	PUNCT
ejpam-4351	245	14	1	1	NUM
ejpam-4351	245	15	+	+	CCONJ
ejpam-4351	245	16	ck	ck	PROPN
ejpam-4351	245	17	ak	ak	PROPN
ejpam-4351	245	18	αk	αk	NOUN
ejpam-4351	245	19	)	)	PUNCT
ejpam-4351	245	20	]	]	PUNCT
ejpam-4351	246	1	×	×	NOUN
ejpam-4351	246	2	[	[	PUNCT
ejpam-4351	246	3	(	(	PUNCT
ejpam-4351	246	4	nk	nk	NOUN
ejpam-4351	246	5	+	+	X
ejpam-4351	246	6	α−	α−	ADP
ejpam-4351	246	7	1	1	NUM
ejpam-4351	246	8	)	)	PUNCT
ejpam-4351	246	9	+	+	CCONJ
ejpam-4351	246	10	uk	uk	PROPN
ejpam-4351	246	11	uk	uk	PROPN
ejpam-4351	246	12	+	+	CCONJ
ejpam-4351	246	13	vk	vk	X
ejpam-4351	246	14	]	]	PUNCT
ejpam-4351	246	15	.	.	PUNCT
ejpam-4351	247	1	for	for	ADP
ejpam-4351	247	2	i	i	PRON
ejpam-4351	247	3	=	=	NOUN
ejpam-4351	247	4	3	3	NUM
ejpam-4351	247	5	,	,	PUNCT
ejpam-4351	247	6	we	we	PRON
ejpam-4351	247	7	have	have	VERB
ejpam-4351	247	8	for	for	ADP
ejpam-4351	247	9	the	the	DET
ejpam-4351	247	10	generalized	generalize	VERB
ejpam-4351	247	11	quadratic	quadratic	ADJ
ejpam-4351	247	12	loss	loss	NOUN
ejpam-4351	247	13	function	function	NOUN
ejpam-4351	247	14	,	,	PUNCT
ejpam-4351	247	15	and	and	CCONJ
ejpam-4351	247	16	for	for	ADP
ejpam-4351	247	17	the	the	DET
ejpam-4351	247	18	prior	prior	ADJ
ejpam-4351	247	19	π3(ak	π3(ak	PROPN
ejpam-4351	247	20	,	,	PUNCT
ejpam-4351	247	21	bk	bk	PROPN
ejpam-4351	247	22	)	)	PUNCT
ejpam-4351	247	23	,	,	PUNCT
ejpam-4351	247	24	the	the	DET
ejpam-4351	247	25	e	e	NOUN
ejpam-4351	247	26	-	-	NOUN
ejpam-4351	247	27	bayesian	bayesian	ADJ
ejpam-4351	247	28	estimator	estimator	NOUN
ejpam-4351	247	29	of	of	ADP
ejpam-4351	247	30	βk	βk	ADV
ejpam-4351	247	31	given	give	VERB
ejpam-4351	247	32	by	by	ADP
ejpam-4351	247	33	:	:	PUNCT
ejpam-4351	247	34	β̂k(ebqg3	β̂k(ebqg3	NUM
ejpam-4351	247	35	)	)	PUNCT
ejpam-4351	247	36	=	=	SYM
ejpam-4351	248	1	∫	∫	PROPN
ejpam-4351	248	2	1	1	NUM
ejpam-4351	248	3	0	0	NUM
ejpam-4351	248	4	∫	∫	PROPN
ejpam-4351	248	5	ck	ck	INTJ
ejpam-4351	248	6	0	0	NUM
ejpam-4351	249	1	nk	nk	PROPN
ejpam-4351	249	2	+	+	PROPN
ejpam-4351	249	3	ak	ak	PROPN
ejpam-4351	250	1	+	+	X
ejpam-4351	250	2	α−	α−	ADP
ejpam-4351	250	3	1	1	NUM
ejpam-4351	250	4	bk	bk	VERB
ejpam-4351	250	5	+	+	NOUN
ejpam-4351	250	6	ak	ak	PROPN
ejpam-4351	250	7	αk	αk	CCONJ
ejpam-4351	250	8	×	×	PROPN
ejpam-4351	250	9	2	2	NUM
ejpam-4351	250	10	c2kb(uk	c2kb(uk	PROPN
ejpam-4351	250	11	,	,	PUNCT
ejpam-4351	250	12	vk	vk	PROPN
ejpam-4351	250	13	)	)	PUNCT
ejpam-4351	250	14	×	×	NOUN
ejpam-4351	250	15	(	(	PUNCT
ejpam-4351	250	16	bk)a	bk)a	PROPN
ejpam-4351	250	17	uk−1	uk−1	PROPN
ejpam-4351	250	18	k	k	PROPN
ejpam-4351	250	19	(	(	PUNCT
ejpam-4351	250	20	1−	1−	NUM
ejpam-4351	250	21	ak	ak	PROPN
ejpam-4351	250	22	)	)	PUNCT
ejpam-4351	250	23	vk−1dbkdak	vk−1dbkdak	PROPN
ejpam-4351	251	1	=	=	SYM
ejpam-4351	251	2	∫	∫	PROPN
ejpam-4351	251	3	1	1	NUM
ejpam-4351	251	4	0	0	NUM
ejpam-4351	251	5	2(nk	2(nk	NOUN
ejpam-4351	252	1	+	+	CCONJ
ejpam-4351	252	2	ak	ak	PROPN
ejpam-4351	252	3	+	+	CCONJ
ejpam-4351	252	4	α−	α−	ADP
ejpam-4351	252	5	1	1	NUM
ejpam-4351	252	6	)	)	PUNCT
ejpam-4351	252	7	c2kb(uk	c2kb(uk	PROPN
ejpam-4351	252	8	,	,	PUNCT
ejpam-4351	252	9	vk	vk	PROPN
ejpam-4351	252	10	)	)	PUNCT
ejpam-4351	252	11	×	×	NOUN
ejpam-4351	252	12	auk−1	auk−1	PROPN
ejpam-4351	252	13	k	k	X
ejpam-4351	252	14	(	(	PUNCT
ejpam-4351	252	15	1−	1−	NUM
ejpam-4351	252	16	ak	ak	PROPN
ejpam-4351	252	17	)	)	PUNCT
ejpam-4351	252	18	vk−1	vk−1	PROPN
ejpam-4351	252	19	×	×	NOUN
ejpam-4351	252	20	(	(	PUNCT
ejpam-4351	252	21	∫	∫	PROPN
ejpam-4351	252	22	ck	ck	INTJ
ejpam-4351	252	23	0	0	PUNCT
ejpam-4351	252	24	bk	bk	NOUN
ejpam-4351	252	25	bk	bk	ADP
ejpam-4351	253	1	+	+	NOUN
ejpam-4351	253	2	ak	ak	PROPN
ejpam-4351	253	3	αk	αk	PROPN
ejpam-4351	253	4	dbk	dbk	PROPN
ejpam-4351	253	5	)	)	PUNCT
ejpam-4351	253	6	dak	dak	PROPN
ejpam-4351	253	7	=	=	SYM
ejpam-4351	253	8	∫	∫	PROPN
ejpam-4351	253	9	1	1	NUM
ejpam-4351	253	10	0	0	NUM
ejpam-4351	253	11	2(nk	2(nk	NOUN
ejpam-4351	253	12	+	+	CCONJ
ejpam-4351	253	13	ak	ak	PROPN
ejpam-4351	254	1	+	+	CCONJ
ejpam-4351	254	2	α−	α−	ADP
ejpam-4351	254	3	1	1	NUM
ejpam-4351	254	4	)	)	PUNCT
ejpam-4351	254	5	c2kb(uk	c2kb(uk	PROPN
ejpam-4351	254	6	,	,	PUNCT
ejpam-4351	254	7	vk	vk	PROPN
ejpam-4351	254	8	)	)	PUNCT
ejpam-4351	254	9	×	×	NOUN
ejpam-4351	254	10	auk−1	auk−1	PROPN
ejpam-4351	254	11	k	k	X
ejpam-4351	254	12	(	(	PUNCT
ejpam-4351	254	13	1−	1−	NUM
ejpam-4351	254	14	ak	ak	PROPN
ejpam-4351	254	15	)	)	PUNCT
ejpam-4351	254	16	vk−1	vk−1	PROPN
ejpam-4351	254	17	×	×	NOUN
ejpam-4351	254	18	[	[	PUNCT
ejpam-4351	254	19	bk	bk	NOUN
ejpam-4351	254	20	−	−	PROPN
ejpam-4351	254	21	(	(	PUNCT
ejpam-4351	254	22	ak	ak	INTJ
ejpam-4351	254	23	αk	αk	INTJ
ejpam-4351	254	24	)	)	PUNCT
ejpam-4351	254	25	ln	ln	NOUN
ejpam-4351	255	1	(	(	PUNCT
ejpam-4351	255	2	bk	bk	NOUN
ejpam-4351	255	3	+	+	NOUN
ejpam-4351	255	4	ak	ak	PROPN
ejpam-4351	255	5	αk	αk	NOUN
ejpam-4351	255	6	)	)	PUNCT
ejpam-4351	255	7	]	]	X
ejpam-4351	255	8	ck	ck	PROPN
ejpam-4351	255	9	0	0	NUM
ejpam-4351	255	10	dak	dak	PROPN
ejpam-4351	255	11	=	=	SYM
ejpam-4351	255	12	∫	∫	PROPN
ejpam-4351	255	13	1	1	NUM
ejpam-4351	255	14	0	0	NUM
ejpam-4351	255	15	2(nk	2(nk	NOUN
ejpam-4351	255	16	+	+	CCONJ
ejpam-4351	255	17	ak	ak	PROPN
ejpam-4351	255	18	+	+	CCONJ
ejpam-4351	255	19	α−	α−	ADP
ejpam-4351	255	20	1	1	NUM
ejpam-4351	255	21	)	)	PUNCT
ejpam-4351	255	22	c2kb(uk	c2kb(uk	PROPN
ejpam-4351	255	23	,	,	PUNCT
ejpam-4351	255	24	vk	vk	PROPN
ejpam-4351	255	25	)	)	PUNCT
ejpam-4351	255	26	×	×	NOUN
ejpam-4351	255	27	auk−1	auk−1	PROPN
ejpam-4351	255	28	k	k	X
ejpam-4351	255	29	(	(	PUNCT
ejpam-4351	255	30	1−	1−	NUM
ejpam-4351	255	31	ak	ak	PROPN
ejpam-4351	255	32	)	)	PUNCT
ejpam-4351	255	33	vk−1	vk−1	PROPN
ejpam-4351	255	34	×	×	NOUN
ejpam-4351	255	35	[	[	PUNCT
ejpam-4351	255	36	ck	ck	INTJ
ejpam-4351	255	37	−	−	PROPN
ejpam-4351	255	38	(	(	PUNCT
ejpam-4351	255	39	ak	ak	INTJ
ejpam-4351	255	40	αk	αk	INTJ
ejpam-4351	255	41	)	)	PUNCT
ejpam-4351	255	42	ln	ln	NOUN
ejpam-4351	256	1	(	(	PUNCT
ejpam-4351	256	2	1	1	NUM
ejpam-4351	256	3	+	+	CCONJ
ejpam-4351	256	4	ck	ck	PROPN
ejpam-4351	256	5	ak	ak	PROPN
ejpam-4351	256	6	αk	αk	NOUN
ejpam-4351	256	7	)	)	PUNCT
ejpam-4351	256	8	]	]	PUNCT
ejpam-4351	257	1	dak	dak	PROPN
ejpam-4351	257	2	=	=	SYM
ejpam-4351	257	3	2	2	NUM
ejpam-4351	257	4	c2kb(uk	c2kb(uk	PROPN
ejpam-4351	257	5	,	,	PUNCT
ejpam-4351	257	6	vk	vk	PROPN
ejpam-4351	257	7	)	)	PUNCT
ejpam-4351	257	8	[	[	PUNCT
ejpam-4351	257	9	ck	ck	INTJ
ejpam-4351	257	10	−	−	PROPN
ejpam-4351	258	1	(	(	PUNCT
ejpam-4351	258	2	ak	ak	INTJ
ejpam-4351	258	3	αk	αk	INTJ
ejpam-4351	258	4	)	)	PUNCT
ejpam-4351	258	5	ln	ln	NOUN
ejpam-4351	258	6	(	(	PUNCT
ejpam-4351	258	7	1	1	NUM
ejpam-4351	258	8	+	+	CCONJ
ejpam-4351	258	9	ck	ck	PROPN
ejpam-4351	258	10	ak	ak	PROPN
ejpam-4351	258	11	αk	αk	NOUN
ejpam-4351	258	12	)	)	PUNCT
ejpam-4351	258	13	]	]	X
ejpam-4351	258	14	∫	∫	PROPN
ejpam-4351	258	15	1	1	NUM
ejpam-4351	258	16	0	0	NUM
ejpam-4351	259	1	(	(	PUNCT
ejpam-4351	259	2	nk	nk	PROPN
ejpam-4351	259	3	+	+	PROPN
ejpam-4351	259	4	ak	ak	PROPN
ejpam-4351	260	1	+	+	X
ejpam-4351	260	2	α−	α−	ADP
ejpam-4351	260	3	1)auk−1	1)auk−1	NUM
ejpam-4351	260	4	k	k	NOUN
ejpam-4351	260	5	(	(	PUNCT
ejpam-4351	260	6	1−	1−	NUM
ejpam-4351	260	7	ak	ak	PROPN
ejpam-4351	260	8	)	)	PUNCT
ejpam-4351	260	9	vk−1dak	vk−1dak	PROPN
ejpam-4351	260	10	=	=	SYM
ejpam-4351	260	11	2	2	NUM
ejpam-4351	260	12	c2kb(uk	c2kb(uk	PROPN
ejpam-4351	260	13	,	,	PUNCT
ejpam-4351	260	14	vk	vk	PROPN
ejpam-4351	260	15	)	)	PUNCT
ejpam-4351	260	16	[	[	PUNCT
ejpam-4351	260	17	ck	ck	INTJ
ejpam-4351	260	18	−	−	PROPN
ejpam-4351	261	1	(	(	PUNCT
ejpam-4351	261	2	ak	ak	INTJ
ejpam-4351	261	3	αk	αk	INTJ
ejpam-4351	261	4	)	)	PUNCT
ejpam-4351	261	5	ln	ln	NOUN
ejpam-4351	261	6	(	(	PUNCT
ejpam-4351	261	7	1	1	NUM
ejpam-4351	261	8	+	+	CCONJ
ejpam-4351	261	9	ck	ck	PROPN
ejpam-4351	261	10	ak	ak	PROPN
ejpam-4351	261	11	αk	αk	NOUN
ejpam-4351	261	12	)	)	PUNCT
ejpam-4351	261	13	]	]	PUNCT
ejpam-4351	262	1	×	×	NOUN
ejpam-4351	262	2	i	i	NOUN
ejpam-4351	262	3	=	=	NOUN
ejpam-4351	262	4	2	2	NUM
ejpam-4351	262	5	c2kb(uk	c2kb(uk	PROPN
ejpam-4351	262	6	,	,	PUNCT
ejpam-4351	262	7	vk	vk	PROPN
ejpam-4351	262	8	)	)	PUNCT
ejpam-4351	262	9	[	[	PUNCT
ejpam-4351	262	10	ck	ck	INTJ
ejpam-4351	262	11	−	−	PROPN
ejpam-4351	262	12	(	(	PUNCT
ejpam-4351	262	13	ak	ak	INTJ
ejpam-4351	262	14	αk	αk	INTJ
ejpam-4351	262	15	)	)	PUNCT
ejpam-4351	262	16	ln	ln	NOUN
ejpam-4351	262	17	(	(	PUNCT
ejpam-4351	262	18	1	1	NUM
ejpam-4351	262	19	+	+	CCONJ
ejpam-4351	262	20	ck	ck	PROPN
ejpam-4351	262	21	ak	ak	PROPN
ejpam-4351	262	22	αk	αk	NOUN
ejpam-4351	262	23	)	)	PUNCT
ejpam-4351	262	24	]	]	PUNCT
ejpam-4351	262	25	×b(uk	×b(uk	NOUN
ejpam-4351	262	26	,	,	PUNCT
ejpam-4351	262	27	vk	vk	PROPN
ejpam-4351	262	28	)	)	PUNCT
ejpam-4351	262	29	[	[	PUNCT
ejpam-4351	262	30	(	(	PUNCT
ejpam-4351	262	31	nk	nk	NOUN
ejpam-4351	262	32	+	+	X
ejpam-4351	262	33	α−	α−	ADP
ejpam-4351	262	34	1	1	NUM
ejpam-4351	262	35	)	)	PUNCT
ejpam-4351	262	36	+	+	CCONJ
ejpam-4351	262	37	uk	uk	PROPN
ejpam-4351	262	38	uk	uk	PROPN
ejpam-4351	262	39	+	+	CCONJ
ejpam-4351	262	40	vk	vk	X
ejpam-4351	262	41	]	]	PUNCT
ejpam-4351	262	42	by	by	ADP
ejpam-4351	262	43	(	(	PUNCT
ejpam-4351	262	44	14	14	NUM
ejpam-4351	262	45	)	)	PUNCT
ejpam-4351	262	46	=	=	SYM
ejpam-4351	263	1	2c−2	2c−2	NUM
ejpam-4351	263	2	k	k	NOUN
ejpam-4351	263	3	[	[	PUNCT
ejpam-4351	263	4	ck	ck	INTJ
ejpam-4351	263	5	−	−	PROPN
ejpam-4351	263	6	(	(	PUNCT
ejpam-4351	263	7	ak	ak	INTJ
ejpam-4351	263	8	αk	αk	INTJ
ejpam-4351	263	9	)	)	PUNCT
ejpam-4351	263	10	ln	ln	NOUN
ejpam-4351	263	11	(	(	PUNCT
ejpam-4351	263	12	1	1	NUM
ejpam-4351	263	13	+	+	CCONJ
ejpam-4351	263	14	ck	ck	PROPN
ejpam-4351	263	15	ak	ak	PROPN
ejpam-4351	263	16	αk	αk	NOUN
ejpam-4351	263	17	)	)	PUNCT
ejpam-4351	263	18	]	]	PUNCT
ejpam-4351	264	1	×	×	NOUN
ejpam-4351	264	2	[	[	PUNCT
ejpam-4351	264	3	(	(	PUNCT
ejpam-4351	264	4	nk	nk	NOUN
ejpam-4351	264	5	+	+	X
ejpam-4351	264	6	α−	α−	ADP
ejpam-4351	264	7	1	1	NUM
ejpam-4351	264	8	)	)	PUNCT
ejpam-4351	264	9	+	+	CCONJ
ejpam-4351	264	10	uk	uk	PROPN
ejpam-4351	264	11	uk	uk	PROPN
ejpam-4351	264	12	+	+	CCONJ
ejpam-4351	264	13	vk	vk	X
ejpam-4351	264	14	]	]	PUNCT
ejpam-4351	264	15	.	.	PUNCT
ejpam-4351	265	1	remark	remark	PROPN
ejpam-4351	265	2	1	1	NUM
ejpam-4351	265	3	.	.	PUNCT
ejpam-4351	265	4	from	from	ADP
ejpam-4351	265	5	the	the	DET
ejpam-4351	265	6	decompositions	decomposition	NOUN
ejpam-4351	265	7	resulting	result	VERB
ejpam-4351	265	8	from	from	ADP
ejpam-4351	265	9	the	the	DET
ejpam-4351	265	10	above	above	ADJ
ejpam-4351	265	11	theorem	theorem	NOUN
ejpam-4351	265	12	,	,	PUNCT
ejpam-4351	265	13	one	one	PRON
ejpam-4351	265	14	observes	observe	VERB
ejpam-4351	265	15	that	that	PRON
ejpam-4351	265	16	:	:	PUNCT
ejpam-4351	265	17	•	•	NOUN
ejpam-4351	265	18	for	for	ADP
ejpam-4351	265	19	α	α	NOUN
ejpam-4351	265	20	=	=	SYM
ejpam-4351	265	21	1	1	NUM
ejpam-4351	265	22	,	,	PUNCT
ejpam-4351	265	23	one	one	NOUN
ejpam-4351	265	24	obtains	obtain	VERB
ejpam-4351	265	25	the	the	DET
ejpam-4351	265	26	estimator	estimator	NOUN
ejpam-4351	265	27	of	of	ADP
ejpam-4351	265	28	βk	βk	ADP
ejpam-4351	265	29	under	under	ADP
ejpam-4351	265	30	the	the	DET
ejpam-4351	265	31	quadratic	quadratic	ADJ
ejpam-4351	265	32	loss	loss	NOUN
ejpam-4351	265	33	function	function	NOUN
ejpam-4351	265	34	as	as	ADP
ejpam-4351	265	35	in	in	ADP
ejpam-4351	265	36	[	[	X
ejpam-4351	265	37	32	32	NUM
ejpam-4351	265	38	]	]	PUNCT
ejpam-4351	265	39	;	;	PUNCT
ejpam-4351	265	40	•	•	ADP
ejpam-4351	265	41	for	for	ADP
ejpam-4351	265	42	α	α	NOUN
ejpam-4351	265	43	=	=	SYM
ejpam-4351	265	44	2	2	NUM
ejpam-4351	265	45	,	,	PUNCT
ejpam-4351	265	46	one	one	PRON
ejpam-4351	265	47	gets	get	VERB
ejpam-4351	265	48	the	the	DET
ejpam-4351	265	49	estimator	estimator	NOUN
ejpam-4351	265	50	of	of	ADP
ejpam-4351	265	51	βk	βk	ADP
ejpam-4351	265	52	under	under	ADP
ejpam-4351	265	53	the	the	DET
ejpam-4351	265	54	degroot	degroot	PROPN
ejpam-4351	265	55	loss	loss	NOUN
ejpam-4351	265	56	function	function	NOUN
ejpam-4351	265	57	;	;	PUNCT
ejpam-4351	265	58	•	•	ADP
ejpam-4351	265	59	for	for	ADP
ejpam-4351	265	60	α	α	NOUN
ejpam-4351	265	61	=	=	SYM
ejpam-4351	265	62	0	0	NUM
ejpam-4351	265	63	,	,	PUNCT
ejpam-4351	265	64	one	one	PRON
ejpam-4351	265	65	gets	get	VERB
ejpam-4351	265	66	the	the	DET
ejpam-4351	265	67	estimator	estimator	NOUN
ejpam-4351	265	68	of	of	ADP
ejpam-4351	265	69	βk	βk	ADP
ejpam-4351	265	70	under	under	ADP
ejpam-4351	265	71	the	the	DET
ejpam-4351	265	72	entropy	entropy	NOUN
ejpam-4351	265	73	loss	loss	NOUN
ejpam-4351	265	74	function	function	NOUN
ejpam-4351	265	75	.	.	PUNCT
ejpam-4351	266	1	thus	thus	ADV
ejpam-4351	266	2	,	,	PUNCT
ejpam-4351	266	3	our	our	PRON
ejpam-4351	266	4	estimators	estimator	NOUN
ejpam-4351	266	5	generalize	generalize	VERB
ejpam-4351	266	6	not	not	PART
ejpam-4351	266	7	only	only	ADV
ejpam-4351	266	8	the	the	DET
ejpam-4351	266	9	one	one	NOUN
ejpam-4351	266	10	associated	associate	VERB
ejpam-4351	266	11	with	with	ADP
ejpam-4351	266	12	the	the	DET
ejpam-4351	266	13	quadratic	quadratic	ADJ
ejpam-4351	266	14	loss	loss	NOUN
ejpam-4351	266	15	function	function	NOUN
ejpam-4351	266	16	of	of	ADP
ejpam-4351	266	17	[	[	X
ejpam-4351	266	18	32	32	NUM
ejpam-4351	266	19	]	]	PUNCT
ejpam-4351	266	20	,	,	PUNCT
ejpam-4351	266	21	but	but	CCONJ
ejpam-4351	266	22	also	also	ADV
ejpam-4351	266	23	those	those	PRON
ejpam-4351	266	24	associated	associate	VERB
ejpam-4351	266	25	with	with	ADP
ejpam-4351	266	26	the	the	DET
ejpam-4351	266	27	degroot	degroot	PROPN
ejpam-4351	266	28	and	and	CCONJ
ejpam-4351	266	29	the	the	DET
ejpam-4351	266	30	entropy	entropy	NOUN
ejpam-4351	266	31	loss	loss	NOUN
ejpam-4351	266	32	functions	function	NOUN
ejpam-4351	266	33	.	.	PUNCT
ejpam-4351	267	1	5	5	X
ejpam-4351	267	2	.	.	X
ejpam-4351	267	3	e	e	X
ejpam-4351	267	4	-	-	NOUN
ejpam-4351	267	5	bayesian	bayesian	ADJ
ejpam-4351	267	6	estimation	estimation	NOUN
ejpam-4351	267	7	for	for	ADP
ejpam-4351	267	8	the	the	DET
ejpam-4351	267	9	degroot	degroot	PROPN
ejpam-4351	267	10	loss	loss	NOUN
ejpam-4351	267	11	function	function	VERB
ejpam-4351	267	12	5.1	5.1	NUM
ejpam-4351	267	13	.	.	PUNCT
ejpam-4351	268	1	the	the	DET
ejpam-4351	268	2	degroot	degroot	PROPN
ejpam-4351	268	3	loss	loss	NOUN
ejpam-4351	268	4	function	function	NOUN
ejpam-4351	268	5	[	[	X
ejpam-4351	268	6	5	5	NUM
ejpam-4351	268	7	]	]	PUNCT
ejpam-4351	268	8	introduced	introduce	VERB
ejpam-4351	268	9	several	several	ADJ
ejpam-4351	268	10	types	type	NOUN
ejpam-4351	268	11	of	of	ADP
ejpam-4351	268	12	loss	loss	NOUN
ejpam-4351	268	13	functions	function	NOUN
ejpam-4351	268	14	and	and	CCONJ
ejpam-4351	268	15	then	then	ADV
ejpam-4351	268	16	obtained	obtain	VERB
ejpam-4351	268	17	the	the	DET
ejpam-4351	268	18	bayes	bayes	NOUN
ejpam-4351	268	19	estimators	estimator	NOUN
ejpam-4351	268	20	under	under	ADP
ejpam-4351	268	21	them	they	PRON
ejpam-4351	268	22	.	.	PUNCT
ejpam-4351	269	1	an	an	DET
ejpam-4351	269	2	example	example	NOUN
ejpam-4351	269	3	of	of	ADP
ejpam-4351	269	4	a	a	DET
ejpam-4351	269	5	symmetric	symmetric	ADJ
ejpam-4351	269	6	loss	loss	NOUN
ejpam-4351	269	7	function	function	NOUN
ejpam-4351	269	8	is	be	AUX
ejpam-4351	269	9	defined	define	VERB
ejpam-4351	269	10	by	by	ADP
ejpam-4351	269	11	:	:	PUNCT
ejpam-4351	269	12	d.	d.	PROPN
ejpam-4351	269	13	a.	a.	PROPN
ejpam-4351	269	14	n.	n.	PROPN
ejpam-4351	269	15	njamen	njamen	PROPN
ejpam-4351	269	16	et	et	PROPN
ejpam-4351	269	17	al	al	PROPN
ejpam-4351	269	18	.	.	PUNCT
ejpam-4351	269	19	/	/	SYM
ejpam-4351	269	20	eur	eur	PROPN
ejpam-4351	269	21	.	.	PUNCT
ejpam-4351	270	1	j.	j.	PROPN
ejpam-4351	270	2	pure	pure	PROPN
ejpam-4351	270	3	appl	appl	PROPN
ejpam-4351	270	4	.	.	PROPN
ejpam-4351	270	5	math	math	PROPN
ejpam-4351	270	6	,	,	PUNCT
ejpam-4351	270	7	15	15	NUM
ejpam-4351	270	8	(	(	PUNCT
ejpam-4351	270	9	2	2	NUM
ejpam-4351	270	10	)	)	PUNCT
ejpam-4351	270	11	(	(	PUNCT
ejpam-4351	270	12	2022	2022	NUM
ejpam-4351	270	13	)	)	PUNCT
ejpam-4351	270	14	,	,	PUNCT
ejpam-4351	270	15	753	753	NUM
ejpam-4351	270	16	-	-	SYM
ejpam-4351	270	17	773	773	NUM
ejpam-4351	270	18	764	764	NUM
ejpam-4351	270	19	l(θ	l(θ	NOUN
ejpam-4351	270	20	,	,	PUNCT
ejpam-4351	270	21	δ(x	δ(x	NOUN
ejpam-4351	270	22	)	)	PUNCT
ejpam-4351	270	23	)	)	PUNCT
ejpam-4351	271	1	=	=	PUNCT
ejpam-4351	271	2	(	(	PUNCT
ejpam-4351	271	3	θ	θ	PROPN
ejpam-4351	271	4	−	−	PROPN
ejpam-4351	272	1	δ(x	δ(x	PROPN
ejpam-4351	272	2	)	)	PUNCT
ejpam-4351	272	3	δ(x	δ(x	NOUN
ejpam-4351	272	4	)	)	PUNCT
ejpam-4351	272	5	)	)	PUNCT
ejpam-4351	273	1	2	2	X
ejpam-4351	273	2	.	.	PUNCT
ejpam-4351	274	1	under	under	ADP
ejpam-4351	274	2	this	this	DET
ejpam-4351	274	3	loss	loss	NOUN
ejpam-4351	274	4	function	function	NOUN
ejpam-4351	274	5	,	,	PUNCT
ejpam-4351	274	6	the	the	DET
ejpam-4351	274	7	bayes	bayes	PROPN
ejpam-4351	274	8	estimator	estimator	NOUN
ejpam-4351	274	9	is	be	AUX
ejpam-4351	274	10	defined	define	VERB
ejpam-4351	274	11	by	by	ADP
ejpam-4351	274	12	:	:	PUNCT
ejpam-4351	274	13	δπ(x	δπ(x	NUM
ejpam-4351	274	14	)	)	PUNCT
ejpam-4351	274	15	=	=	SYM
ejpam-4351	274	16	eπ(θ	eπ(θ	NUM
ejpam-4351	274	17	2|x	2|x	NUM
ejpam-4351	274	18	)	)	PUNCT
ejpam-4351	274	19	eπ(θ|x	eπ(θ|x	NUM
ejpam-4351	274	20	)	)	PUNCT
ejpam-4351	274	21	.	.	PUNCT
ejpam-4351	275	1	the	the	DET
ejpam-4351	275	2	e	e	NOUN
ejpam-4351	275	3	-	-	NOUN
ejpam-4351	275	4	bayesian	bayesian	ADJ
ejpam-4351	275	5	estimator	estimator	NOUN
ejpam-4351	275	6	of	of	ADP
ejpam-4351	275	7	βk	βk	ADP
ejpam-4351	275	8	with	with	ADP
ejpam-4351	275	9	hyper	hyper	NOUN
ejpam-4351	275	10	-	-	NOUN
ejpam-4351	275	11	parameters	parameter	NOUN
ejpam-4351	275	12	ak	ak	PROPN
ejpam-4351	275	13	and	and	CCONJ
ejpam-4351	275	14	bk	bk	PROPN
ejpam-4351	275	15	is	be	AUX
ejpam-4351	275	16	given	give	VERB
ejpam-4351	275	17	by	by	ADP
ejpam-4351	275	18	the	the	DET
ejpam-4351	275	19	formula	formula	NOUN
ejpam-4351	275	20	:	:	PUNCT
ejpam-4351	275	21	β̂k(ebdi	β̂k(ebdi	X
ejpam-4351	275	22	)	)	PUNCT
ejpam-4351	275	23	=	=	SYM
ejpam-4351	276	1	∫	∫	PROPN
ejpam-4351	276	2	∫	∫	PROPN
ejpam-4351	276	3	d	d	PROPN
ejpam-4351	276	4	β̂k(bd)(ak	β̂k(bd)(ak	PROPN
ejpam-4351	276	5	,	,	PUNCT
ejpam-4351	276	6	bk)πi(ak	bk)πi(ak	VERB
ejpam-4351	276	7	,	,	PUNCT
ejpam-4351	276	8	bk)dbkdak	bk)dbkdak	NOUN
ejpam-4351	276	9	,	,	PUNCT
ejpam-4351	276	10	i	i	PRON
ejpam-4351	276	11	=	=	NOUN
ejpam-4351	276	12	1	1	NUM
ejpam-4351	276	13	,	,	PUNCT
ejpam-4351	276	14	2	2	NUM
ejpam-4351	276	15	,	,	PUNCT
ejpam-4351	276	16	3	3	NUM
ejpam-4351	276	17	,	,	PUNCT
ejpam-4351	276	18	where	where	SCONJ
ejpam-4351	276	19	d	d	NOUN
ejpam-4351	276	20	is	be	AUX
ejpam-4351	276	21	the	the	DET
ejpam-4351	276	22	decision	decision	NOUN
ejpam-4351	276	23	space	space	NOUN
ejpam-4351	276	24	and	and	CCONJ
ejpam-4351	276	25	where	where	SCONJ
ejpam-4351	276	26	β̂k(bd	β̂k(bd	PROPN
ejpam-4351	276	27	)	)	PUNCT
ejpam-4351	276	28	is	be	AUX
ejpam-4351	276	29	the	the	DET
ejpam-4351	276	30	bayesian	bayesian	NOUN
ejpam-4351	276	31	estimator	estimator	NOUN
ejpam-4351	276	32	of	of	ADP
ejpam-4351	276	33	βk	βk	ADV
ejpam-4351	276	34	defined	define	VERB
ejpam-4351	276	35	in	in	ADP
ejpam-4351	276	36	theorem	theorem	ADJ
ejpam-4351	276	37	4.2	4.2	NUM
ejpam-4351	276	38	of	of	ADP
ejpam-4351	276	39	[	[	X
ejpam-4351	276	40	23	23	NUM
ejpam-4351	276	41	]	]	PUNCT
ejpam-4351	276	42	and	and	CCONJ
ejpam-4351	276	43	given	give	VERB
ejpam-4351	276	44	below	below	ADV
ejpam-4351	276	45	:	:	PUNCT
ejpam-4351	276	46	β̂k(bd)(αk	β̂k(bd)(αk	VERB
ejpam-4351	276	47	,	,	PUNCT
ejpam-4351	276	48	βk	βk	NOUN
ejpam-4351	276	49	)	)	PUNCT
ejpam-4351	276	50	=	=	SYM
ejpam-4351	276	51	nk	nk	PROPN
ejpam-4351	276	52	+	+	PROPN
ejpam-4351	276	53	ak	ak	PROPN
ejpam-4351	276	54	+	+	CCONJ
ejpam-4351	276	55	1	1	NUM
ejpam-4351	276	56	bk	bk	NOUN
ejpam-4351	276	57	+	+	NOUN
ejpam-4351	276	58	ak	ak	PROPN
ejpam-4351	276	59	αk	αk	NOUN
ejpam-4351	276	60	,	,	PUNCT
ejpam-4351	276	61	with	with	ADP
ejpam-4351	276	62	αk	αk	INTJ
ejpam-4351	276	63	>	>	X
ejpam-4351	276	64	0	0	X
ejpam-4351	276	65	.	.	PUNCT
ejpam-4351	277	1	the	the	DET
ejpam-4351	277	2	a	a	DET
ejpam-4351	277	3	priori	priori	ADJ
ejpam-4351	277	4	distributions	distribution	NOUN
ejpam-4351	277	5	defined	define	VERB
ejpam-4351	277	6	above	above	ADV
ejpam-4351	277	7	will	will	AUX
ejpam-4351	277	8	allow	allow	VERB
ejpam-4351	277	9	us	we	PRON
ejpam-4351	277	10	in	in	ADP
ejpam-4351	277	11	the	the	DET
ejpam-4351	277	12	following	follow	VERB
ejpam-4351	277	13	subsection	subsection	NOUN
ejpam-4351	277	14	to	to	PART
ejpam-4351	277	15	determine	determine	VERB
ejpam-4351	277	16	the	the	DET
ejpam-4351	277	17	e	e	NOUN
ejpam-4351	277	18	-	-	NOUN
ejpam-4351	277	19	bayesian	bayesian	ADJ
ejpam-4351	277	20	estimators	estimator	NOUN
ejpam-4351	277	21	for	for	ADP
ejpam-4351	277	22	the	the	DET
ejpam-4351	277	23	different	different	ADJ
ejpam-4351	277	24	loss	loss	NOUN
ejpam-4351	277	25	functions	function	NOUN
ejpam-4351	277	26	of	of	ADP
ejpam-4351	277	27	degroot	degroot	PROPN
ejpam-4351	277	28	.	.	PUNCT
ejpam-4351	278	1	5.2	5.2	NUM
ejpam-4351	278	2	.	.	PUNCT
ejpam-4351	279	1	the	the	DET
ejpam-4351	279	2	e	e	NOUN
ejpam-4351	279	3	-	-	NOUN
ejpam-4351	279	4	bayesian	bayesian	ADJ
ejpam-4351	279	5	estimators	estimator	NOUN
ejpam-4351	279	6	theorem	theorem	VERB
ejpam-4351	279	7	2	2	NUM
ejpam-4351	279	8	.	.	PUNCT
ejpam-4351	279	9	under	under	ADP
ejpam-4351	279	10	degroot	degroot	PROPN
ejpam-4351	279	11	’s	’s	PART
ejpam-4351	279	12	loss	loss	NOUN
ejpam-4351	279	13	function	function	NOUN
ejpam-4351	279	14	,	,	PUNCT
ejpam-4351	279	15	the	the	DET
ejpam-4351	279	16	ebayesian	ebayesian	ADJ
ejpam-4351	279	17	estimators	estimator	NOUN
ejpam-4351	279	18	of	of	ADP
ejpam-4351	279	19	βk	βk	ADP
ejpam-4351	279	20	with	with	ADP
ejpam-4351	279	21	the	the	DET
ejpam-4351	279	22	priors	prior	NOUN
ejpam-4351	279	23	πi(ak	πi(ak	PROPN
ejpam-4351	279	24	,	,	PUNCT
ejpam-4351	279	25	bk	bk	PROPN
ejpam-4351	279	26	)	)	PUNCT
ejpam-4351	279	27	,	,	PUNCT
ejpam-4351	279	28	i	i	PRON
ejpam-4351	279	29	∈	∈	PROPN
ejpam-4351	279	30	{	{	PUNCT
ejpam-4351	279	31	1	1	NUM
ejpam-4351	279	32	,	,	PUNCT
ejpam-4351	279	33	2	2	NUM
ejpam-4351	279	34	,	,	PUNCT
ejpam-4351	279	35	3	3	NUM
ejpam-4351	279	36	}	}	PUNCT
ejpam-4351	279	37	are	be	AUX
ejpam-4351	279	38	given	give	VERB
ejpam-4351	279	39	by	by	ADP
ejpam-4351	279	40	:	:	PUNCT
ejpam-4351	279	41			PROPN
ejpam-4351	279	42	β̂k(ebd1	β̂k(ebd1	NOUN
ejpam-4351	279	43	)	)	PUNCT
ejpam-4351	280	1	=	=	SYM
ejpam-4351	280	2	c−1	c−1	PROPN
ejpam-4351	280	3	k	k	PROPN
ejpam-4351	280	4	ln	ln	NOUN
ejpam-4351	280	5	(	(	PUNCT
ejpam-4351	280	6	1	1	NUM
ejpam-4351	280	7	+	+	CCONJ
ejpam-4351	280	8	ck	ck	PROPN
ejpam-4351	280	9	ak	ak	PROPN
ejpam-4351	280	10	αk	αk	NOUN
ejpam-4351	280	11	)	)	PUNCT
ejpam-4351	280	12	(	(	PUNCT
ejpam-4351	280	13	nk	nk	PROPN
ejpam-4351	280	14	+	+	NOUN
ejpam-4351	280	15	1	1	NUM
ejpam-4351	280	16	+	+	SYM
ejpam-4351	280	17	uk	uk	PROPN
ejpam-4351	280	18	uk	uk	PROPN
ejpam-4351	280	19	+	+	CCONJ
ejpam-4351	280	20	vk	vk	PROPN
ejpam-4351	280	21	)	)	PUNCT
ejpam-4351	280	22	β̂k(ebd2	β̂k(ebd2	NOUN
ejpam-4351	280	23	)	)	PUNCT
ejpam-4351	280	24	=	=	PUNCT
ejpam-4351	281	1	2c−2	2c−2	NUM
ejpam-4351	281	2	k	k	NOUN
ejpam-4351	281	3	[	[	PUNCT
ejpam-4351	281	4	−ck	−ck	PROPN
ejpam-4351	281	5	+	+	CCONJ
ejpam-4351	281	6	(	(	PUNCT
ejpam-4351	281	7	ck	ck	INTJ
ejpam-4351	281	8	+	+	NUM
ejpam-4351	281	9	ak	ak	PROPN
ejpam-4351	281	10	αk	αk	NOUN
ejpam-4351	281	11	)	)	PUNCT
ejpam-4351	281	12	ln	ln	NOUN
ejpam-4351	281	13	(	(	PUNCT
ejpam-4351	281	14	1	1	NUM
ejpam-4351	281	15	+	+	CCONJ
ejpam-4351	281	16	ck	ck	PROPN
ejpam-4351	281	17	ak	ak	PROPN
ejpam-4351	281	18	αk	αk	NOUN
ejpam-4351	281	19	)	)	PUNCT
ejpam-4351	281	20	]	]	PUNCT
ejpam-4351	281	21	(	(	PUNCT
ejpam-4351	281	22	nk	nk	PROPN
ejpam-4351	281	23	+	+	NOUN
ejpam-4351	281	24	1	1	NUM
ejpam-4351	281	25	+	+	SYM
ejpam-4351	281	26	uk	uk	PROPN
ejpam-4351	281	27	uk	uk	PROPN
ejpam-4351	281	28	+	+	PROPN
ejpam-4351	281	29	vk	vk	PROPN
ejpam-4351	281	30	)	)	PUNCT
ejpam-4351	281	31	β̂k(ebd3	β̂k(ebd3	PUNCT
ejpam-4351	281	32	)	)	PUNCT
ejpam-4351	282	1	=	=	PUNCT
ejpam-4351	283	1	2c−2	2c−2	NUM
ejpam-4351	283	2	k	k	NOUN
ejpam-4351	283	3	[	[	PUNCT
ejpam-4351	283	4	ck	ck	INTJ
ejpam-4351	283	5	−	−	PROPN
ejpam-4351	283	6	(	(	PUNCT
ejpam-4351	283	7	ak	ak	INTJ
ejpam-4351	283	8	αk	αk	INTJ
ejpam-4351	283	9	)	)	PUNCT
ejpam-4351	283	10	ln	ln	NOUN
ejpam-4351	283	11	(	(	PUNCT
ejpam-4351	283	12	1	1	NUM
ejpam-4351	283	13	+	+	CCONJ
ejpam-4351	283	14	ck	ck	PROPN
ejpam-4351	283	15	ak	ak	PROPN
ejpam-4351	283	16	αk	αk	NOUN
ejpam-4351	283	17	)	)	PUNCT
ejpam-4351	283	18	]	]	PUNCT
ejpam-4351	283	19	(	(	PUNCT
ejpam-4351	283	20	nk	nk	PROPN
ejpam-4351	283	21	+	+	NOUN
ejpam-4351	283	22	1	1	NUM
ejpam-4351	283	23	+	+	SYM
ejpam-4351	283	24	uk	uk	PROPN
ejpam-4351	283	25	uk	uk	PROPN
ejpam-4351	283	26	+	+	PROPN
ejpam-4351	283	27	vk	vk	PROPN
ejpam-4351	283	28	)	)	PUNCT
ejpam-4351	283	29	,	,	PUNCT
ejpam-4351	283	30	(	(	PUNCT
ejpam-4351	283	31	12	12	NUM
ejpam-4351	283	32	)	)	PUNCT
ejpam-4351	283	33	where	where	SCONJ
ejpam-4351	283	34	αk	αk	AUX
ejpam-4351	283	35	>	>	X
ejpam-4351	283	36	0	0	NUM
ejpam-4351	283	37	,	,	PUNCT
ejpam-4351	283	38	0	0	PUNCT
ejpam-4351	283	39	<	<	X
ejpam-4351	283	40	ak	ak	X
ejpam-4351	283	41	<	<	X
ejpam-4351	283	42	1	1	NUM
ejpam-4351	283	43	and	and	CCONJ
ejpam-4351	283	44	0	0	NUM
ejpam-4351	283	45	<	<	X
ejpam-4351	283	46	bk	bk	X
ejpam-4351	283	47	<	<	X
ejpam-4351	283	48	ck	ck	INTJ
ejpam-4351	283	49	.	.	PUNCT
ejpam-4351	283	50	proof	proof	NOUN
ejpam-4351	283	51	.	.	PUNCT
ejpam-4351	284	1	for	for	ADP
ejpam-4351	284	2	i	i	PRON
ejpam-4351	284	3	=	=	NOUN
ejpam-4351	284	4	1	1	NUM
ejpam-4351	284	5	,	,	PUNCT
ejpam-4351	284	6	under	under	ADP
ejpam-4351	284	7	degroot	degroot	PROPN
ejpam-4351	284	8	’s	’s	PART
ejpam-4351	284	9	loss	loss	NOUN
ejpam-4351	284	10	function	function	NOUN
ejpam-4351	284	11	,	,	PUNCT
ejpam-4351	284	12	and	and	CCONJ
ejpam-4351	284	13	for	for	ADP
ejpam-4351	284	14	the	the	DET
ejpam-4351	284	15	prior	prior	ADJ
ejpam-4351	284	16	π1(ak	π1(ak	PROPN
ejpam-4351	284	17	,	,	PUNCT
ejpam-4351	284	18	bk	bk	NOUN
ejpam-4351	284	19	)	)	PUNCT
ejpam-4351	284	20	,	,	PUNCT
ejpam-4351	284	21	the	the	DET
ejpam-4351	284	22	e	e	NOUN
ejpam-4351	284	23	-	-	NOUN
ejpam-4351	284	24	bayesian	bayesian	ADJ
ejpam-4351	284	25	estimator	estimator	NOUN
ejpam-4351	284	26	of	of	ADP
ejpam-4351	284	27	βk	βk	NOUN
ejpam-4351	284	28	is	be	AUX
ejpam-4351	284	29	given	give	VERB
ejpam-4351	284	30	by	by	ADP
ejpam-4351	284	31	:	:	PUNCT
ejpam-4351	284	32	β̂k(ebd1	β̂k(ebd1	NUM
ejpam-4351	284	33	)	)	PUNCT
ejpam-4351	285	1	=	=	SYM
ejpam-4351	285	2	∫	∫	PROPN
ejpam-4351	285	3	1	1	NUM
ejpam-4351	285	4	0	0	NUM
ejpam-4351	285	5	∫	∫	PROPN
ejpam-4351	285	6	ck	ck	INTJ
ejpam-4351	285	7	0	0	NUM
ejpam-4351	286	1	nk	nk	PROPN
ejpam-4351	286	2	+	+	PROPN
ejpam-4351	286	3	ak	ak	PROPN
ejpam-4351	286	4	+	+	CCONJ
ejpam-4351	286	5	1	1	NUM
ejpam-4351	286	6	bk	bk	NOUN
ejpam-4351	286	7	+	+	NOUN
ejpam-4351	286	8	ak	ak	PROPN
ejpam-4351	286	9	αk	αk	NOUN
ejpam-4351	286	10	×	×	PROPN
ejpam-4351	286	11	1	1	NUM
ejpam-4351	286	12	ckb(uk	ckb(uk	NOUN
ejpam-4351	286	13	,	,	PUNCT
ejpam-4351	286	14	vk	vk	PROPN
ejpam-4351	286	15	)	)	PUNCT
ejpam-4351	286	16	×	×	NOUN
ejpam-4351	286	17	auk−1	auk−1	PROPN
ejpam-4351	286	18	k	k	X
ejpam-4351	286	19	(	(	PUNCT
ejpam-4351	286	20	1−	1−	NUM
ejpam-4351	286	21	ak	ak	PROPN
ejpam-4351	286	22	)	)	PUNCT
ejpam-4351	286	23	vk−1dbkdak	vk−1dbkdak	PROPN
ejpam-4351	287	1	=	=	SYM
ejpam-4351	287	2	∫	∫	PROPN
ejpam-4351	287	3	1	1	NUM
ejpam-4351	287	4	0	0	NUM
ejpam-4351	287	5	1	1	NUM
ejpam-4351	287	6	ckb(uk	ckb(uk	NOUN
ejpam-4351	287	7	,	,	PUNCT
ejpam-4351	287	8	vk	vk	PROPN
ejpam-4351	287	9	)	)	PUNCT
ejpam-4351	287	10	×	×	NOUN
ejpam-4351	287	11	auk−1	auk−1	PROPN
ejpam-4351	287	12	k	k	X
ejpam-4351	287	13	(	(	PUNCT
ejpam-4351	287	14	1−	1−	NUM
ejpam-4351	287	15	ak	ak	PROPN
ejpam-4351	287	16	)	)	PUNCT
ejpam-4351	287	17	vk−1	vk−1	PROPN
ejpam-4351	287	18	×	×	NOUN
ejpam-4351	287	19	(	(	PUNCT
ejpam-4351	287	20	∫	∫	PROPN
ejpam-4351	287	21	ck	ck	INTJ
ejpam-4351	287	22	0	0	NUM
ejpam-4351	288	1	nk	nk	PROPN
ejpam-4351	288	2	+	+	PROPN
ejpam-4351	288	3	ak	ak	PROPN
ejpam-4351	288	4	+	+	CCONJ
ejpam-4351	288	5	1	1	NUM
ejpam-4351	288	6	bk	bk	NOUN
ejpam-4351	288	7	+	+	NOUN
ejpam-4351	288	8	ak	ak	PROPN
ejpam-4351	288	9	αk	αk	PROPN
ejpam-4351	288	10	dbk	dbk	PROPN
ejpam-4351	288	11	)	)	PUNCT
ejpam-4351	289	1	dak	dak	PROPN
ejpam-4351	289	2	d.	d.	PROPN
ejpam-4351	289	3	a.	a.	PROPN
ejpam-4351	289	4	n.	n.	PROPN
ejpam-4351	289	5	njamen	njamen	PROPN
ejpam-4351	289	6	et	et	PROPN
ejpam-4351	289	7	al	al	PROPN
ejpam-4351	289	8	.	.	PUNCT
ejpam-4351	289	9	/	/	SYM
ejpam-4351	289	10	eur	eur	PROPN
ejpam-4351	289	11	.	.	PUNCT
ejpam-4351	290	1	j.	j.	PROPN
ejpam-4351	290	2	pure	pure	PROPN
ejpam-4351	290	3	appl	appl	PROPN
ejpam-4351	290	4	.	.	PROPN
ejpam-4351	290	5	math	math	PROPN
ejpam-4351	290	6	,	,	PUNCT
ejpam-4351	290	7	15	15	NUM
ejpam-4351	290	8	(	(	PUNCT
ejpam-4351	290	9	2	2	NUM
ejpam-4351	290	10	)	)	PUNCT
ejpam-4351	290	11	(	(	PUNCT
ejpam-4351	290	12	2022	2022	NUM
ejpam-4351	290	13	)	)	PUNCT
ejpam-4351	290	14	,	,	PUNCT
ejpam-4351	290	15	753	753	NUM
ejpam-4351	290	16	-	-	SYM
ejpam-4351	290	17	773	773	NUM
ejpam-4351	290	18	765	765	NUM
ejpam-4351	290	19	=	=	SYM
ejpam-4351	290	20	∫	∫	PROPN
ejpam-4351	291	1	1	1	NUM
ejpam-4351	291	2	0	0	NUM
ejpam-4351	291	3	nk	nk	PROPN
ejpam-4351	291	4	+	+	PROPN
ejpam-4351	291	5	ak	ak	PROPN
ejpam-4351	291	6	+	+	CCONJ
ejpam-4351	291	7	1	1	NUM
ejpam-4351	291	8	ckb(uk	ckb(uk	NOUN
ejpam-4351	291	9	,	,	PUNCT
ejpam-4351	291	10	vk	vk	PROPN
ejpam-4351	291	11	)	)	PUNCT
ejpam-4351	291	12	×	×	NOUN
ejpam-4351	291	13	auk−1	auk−1	PROPN
ejpam-4351	291	14	k	k	X
ejpam-4351	291	15	(	(	PUNCT
ejpam-4351	291	16	1−	1−	NUM
ejpam-4351	291	17	ak	ak	PROPN
ejpam-4351	291	18	)	)	PUNCT
ejpam-4351	291	19	vk−1	vk−1	PROPN
ejpam-4351	291	20	×	×	NOUN
ejpam-4351	291	21	(	(	PUNCT
ejpam-4351	291	22	∫	∫	PROPN
ejpam-4351	291	23	ck	ck	INTJ
ejpam-4351	291	24	0	0	NUM
ejpam-4351	291	25	1	1	NUM
ejpam-4351	291	26	bk	bk	ADP
ejpam-4351	291	27	+	+	NOUN
ejpam-4351	291	28	ak	ak	PROPN
ejpam-4351	291	29	αk	αk	PROPN
ejpam-4351	291	30	dbk	dbk	PROPN
ejpam-4351	291	31	)	)	PUNCT
ejpam-4351	291	32	dak	dak	PROPN
ejpam-4351	291	33	=	=	SYM
ejpam-4351	291	34	∫	∫	PROPN
ejpam-4351	291	35	1	1	NUM
ejpam-4351	291	36	0	0	NUM
ejpam-4351	291	37	nk	nk	PROPN
ejpam-4351	291	38	+	+	PROPN
ejpam-4351	291	39	ak	ak	PROPN
ejpam-4351	291	40	+	+	CCONJ
ejpam-4351	291	41	1	1	NUM
ejpam-4351	291	42	ckb(uk	ckb(uk	NOUN
ejpam-4351	291	43	,	,	PUNCT
ejpam-4351	291	44	vk	vk	PROPN
ejpam-4351	291	45	)	)	PUNCT
ejpam-4351	291	46	×	×	NOUN
ejpam-4351	291	47	auk−1	auk−1	PROPN
ejpam-4351	291	48	k	k	X
ejpam-4351	291	49	(	(	PUNCT
ejpam-4351	291	50	1−	1−	NUM
ejpam-4351	291	51	ak	ak	PROPN
ejpam-4351	291	52	)	)	PUNCT
ejpam-4351	291	53	vk−1	vk−1	PROPN
ejpam-4351	291	54	×	×	NOUN
ejpam-4351	291	55	ln	ln	NOUN
ejpam-4351	291	56	(	(	PUNCT
ejpam-4351	291	57	1	1	NUM
ejpam-4351	291	58	+	+	CCONJ
ejpam-4351	291	59	ck	ck	PROPN
ejpam-4351	291	60	ak	ak	PROPN
ejpam-4351	291	61	αk	αk	NOUN
ejpam-4351	291	62	)	)	PUNCT
ejpam-4351	291	63	dak	dak	PROPN
ejpam-4351	291	64	=	=	SYM
ejpam-4351	291	65	1	1	NUM
ejpam-4351	291	66	ckb(uk	ckb(uk	NOUN
ejpam-4351	291	67	,	,	PUNCT
ejpam-4351	291	68	vk	vk	PROPN
ejpam-4351	291	69	)	)	PUNCT
ejpam-4351	291	70	×	×	NOUN
ejpam-4351	291	71	ln	ln	NOUN
ejpam-4351	291	72	(	(	PUNCT
ejpam-4351	291	73	1	1	NUM
ejpam-4351	291	74	+	+	CCONJ
ejpam-4351	291	75	ck	ck	PROPN
ejpam-4351	291	76	ak	ak	PROPN
ejpam-4351	291	77	αk	αk	NOUN
ejpam-4351	291	78	)	)	PUNCT
ejpam-4351	291	79	∫	∫	PROPN
ejpam-4351	292	1	1	1	NUM
ejpam-4351	292	2	0	0	NUM
ejpam-4351	292	3	(	(	PUNCT
ejpam-4351	292	4	nk	nk	PROPN
ejpam-4351	292	5	+	+	PROPN
ejpam-4351	292	6	ak	ak	PROPN
ejpam-4351	292	7	+	+	CCONJ
ejpam-4351	292	8	1)×	1)×	NUM
ejpam-4351	292	9	auk−1	auk−1	PROPN
ejpam-4351	292	10	k	k	X
ejpam-4351	292	11	(	(	PUNCT
ejpam-4351	292	12	1−	1−	NUM
ejpam-4351	292	13	ak	ak	PROPN
ejpam-4351	292	14	)	)	PUNCT
ejpam-4351	292	15	vk−1dak	vk−1dak	PROPN
ejpam-4351	292	16	;	;	PUNCT
ejpam-4351	292	17	=	=	SYM
ejpam-4351	292	18	1	1	NUM
ejpam-4351	292	19	ckb(uk	ckb(uk	NOUN
ejpam-4351	292	20	,	,	PUNCT
ejpam-4351	292	21	vk	vk	PROPN
ejpam-4351	292	22	)	)	PUNCT
ejpam-4351	292	23	×	×	NOUN
ejpam-4351	292	24	ln	ln	NOUN
ejpam-4351	292	25	(	(	PUNCT
ejpam-4351	292	26	1	1	NUM
ejpam-4351	292	27	+	+	CCONJ
ejpam-4351	292	28	ck	ck	PROPN
ejpam-4351	292	29	ak	ak	PROPN
ejpam-4351	292	30	αk	αk	NOUN
ejpam-4351	292	31	)	)	PUNCT
ejpam-4351	292	32	×	×	PROPN
ejpam-4351	292	33	i1	i1	PROPN
ejpam-4351	292	34	,	,	PUNCT
ejpam-4351	292	35	with	with	ADP
ejpam-4351	292	36	i1	i1	PROPN
ejpam-4351	292	37	=	=	PUNCT
ejpam-4351	292	38	∫	∫	PROPN
ejpam-4351	292	39	1	1	NUM
ejpam-4351	292	40	0	0	NUM
ejpam-4351	292	41	(	(	PUNCT
ejpam-4351	292	42	nk	nk	PROPN
ejpam-4351	292	43	+	+	PROPN
ejpam-4351	292	44	ak	ak	PROPN
ejpam-4351	292	45	+	+	CCONJ
ejpam-4351	292	46	1)×	1)×	NUM
ejpam-4351	292	47	auk−1	auk−1	PROPN
ejpam-4351	292	48	k	k	X
ejpam-4351	292	49	(	(	PUNCT
ejpam-4351	292	50	1−	1−	NUM
ejpam-4351	292	51	ak	ak	PROPN
ejpam-4351	292	52	)	)	PUNCT
ejpam-4351	292	53	vk−1dak	vk−1dak	PROPN
ejpam-4351	292	54	.	.	PUNCT
ejpam-4351	293	1	one	one	NUM
ejpam-4351	293	2	has	have	VERB
ejpam-4351	293	3	the	the	DET
ejpam-4351	293	4	following	follow	VERB
ejpam-4351	293	5	developments	development	NOUN
ejpam-4351	293	6	:	:	PUNCT
ejpam-4351	293	7	i1	i1	PROPN
ejpam-4351	293	8	=	=	PUNCT
ejpam-4351	293	9	(	(	PUNCT
ejpam-4351	293	10	nk	nk	PROPN
ejpam-4351	293	11	+	+	PROPN
ejpam-4351	293	12	1	1	NUM
ejpam-4351	293	13	)	)	PUNCT
ejpam-4351	293	14	∫	∫	NOUN
ejpam-4351	293	15	1	1	NUM
ejpam-4351	293	16	0	0	NUM
ejpam-4351	293	17	auk−1	auk−1	PRON
ejpam-4351	293	18	k	k	X
ejpam-4351	293	19	(	(	PUNCT
ejpam-4351	293	20	1−	1−	NUM
ejpam-4351	293	21	avk−1	avk−1	PROPN
ejpam-4351	293	22	k	k	PROPN
ejpam-4351	293	23	)	)	PUNCT
ejpam-4351	293	24	dak	dak	PROPN
ejpam-4351	293	25	+	+	CCONJ
ejpam-4351	293	26	∫	∫	PROPN
ejpam-4351	293	27	1	1	NUM
ejpam-4351	293	28	0	0	NUM
ejpam-4351	293	29	aka	aka	ADV
ejpam-4351	293	30	uk−1	uk−1	PROPN
ejpam-4351	293	31	k	k	PROPN
ejpam-4351	293	32	(	(	PUNCT
ejpam-4351	293	33	1−	1−	NUM
ejpam-4351	293	34	avk−1	avk−1	PROPN
ejpam-4351	293	35	k	k	PROPN
ejpam-4351	293	36	)	)	PUNCT
ejpam-4351	293	37	dak	dak	PROPN
ejpam-4351	293	38	=	=	SYM
ejpam-4351	294	1	(	(	PUNCT
ejpam-4351	294	2	nk	nk	PROPN
ejpam-4351	294	3	+	+	PROPN
ejpam-4351	294	4	1)b(uk	1)b(uk	NUM
ejpam-4351	294	5	,	,	PUNCT
ejpam-4351	294	6	vk	vk	PROPN
ejpam-4351	294	7	)	)	PUNCT
ejpam-4351	295	1	+	+	CCONJ
ejpam-4351	295	2	∫	∫	PROPN
ejpam-4351	295	3	1	1	NUM
ejpam-4351	295	4	0	0	NUM
ejpam-4351	295	5	a	a	DET
ejpam-4351	295	6	(	(	PUNCT
ejpam-4351	295	7	uk−1)−1	uk−1)−1	NOUN
ejpam-4351	295	8	k	k	X
ejpam-4351	295	9	(	(	PUNCT
ejpam-4351	295	10	1−	1−	NUM
ejpam-4351	295	11	ak)dak	ak)dak	X
ejpam-4351	295	12	=	=	PUNCT
ejpam-4351	295	13	(	(	PUNCT
ejpam-4351	295	14	nk	nk	PROPN
ejpam-4351	295	15	+	+	PROPN
ejpam-4351	295	16	1)b(uk	1)b(uk	NUM
ejpam-4351	295	17	,	,	PUNCT
ejpam-4351	295	18	vk	vk	PROPN
ejpam-4351	295	19	)	)	PUNCT
ejpam-4351	296	1	+	+	ADV
ejpam-4351	296	2	b(uk	b(uk	VERB
ejpam-4351	296	3	+	+	NOUN
ejpam-4351	296	4	1	1	NUM
ejpam-4351	296	5	,	,	PUNCT
ejpam-4351	296	6	vk	vk	NOUN
ejpam-4351	296	7	)	)	PUNCT
ejpam-4351	296	8	=	=	SYM
ejpam-4351	297	1	(	(	PUNCT
ejpam-4351	297	2	nk	nk	PROPN
ejpam-4351	297	3	+	+	PROPN
ejpam-4351	297	4	1)b(uk	1)b(uk	NUM
ejpam-4351	297	5	,	,	PUNCT
ejpam-4351	297	6	vk	vk	PROPN
ejpam-4351	297	7	)	)	PUNCT
ejpam-4351	298	1	+	+	NOUN
ejpam-4351	298	2	b(vk	b(vk	PROPN
ejpam-4351	298	3	,	,	PUNCT
ejpam-4351	298	4	uk	uk	PROPN
ejpam-4351	298	5	+	+	PROPN
ejpam-4351	298	6	1	1	NUM
ejpam-4351	298	7	)	)	PUNCT
ejpam-4351	298	8	because	because	SCONJ
ejpam-4351	298	9	b(x	b(x	NOUN
ejpam-4351	298	10	,	,	PUNCT
ejpam-4351	298	11	y	y	NOUN
ejpam-4351	298	12	)	)	PUNCT
ejpam-4351	299	1	=	=	SYM
ejpam-4351	299	2	b(y	b(y	PROPN
ejpam-4351	299	3	,	,	PUNCT
ejpam-4351	299	4	x	x	X
ejpam-4351	299	5	)	)	PUNCT
ejpam-4351	299	6	=	=	SYM
ejpam-4351	299	7	(	(	PUNCT
ejpam-4351	299	8	nk	nk	PROPN
ejpam-4351	299	9	+	+	PROPN
ejpam-4351	299	10	1)b(uk	1)b(uk	NUM
ejpam-4351	299	11	,	,	PUNCT
ejpam-4351	299	12	vk	vk	PROPN
ejpam-4351	299	13	)	)	PUNCT
ejpam-4351	299	14	+	+	CCONJ
ejpam-4351	299	15	uk	uk	PROPN
ejpam-4351	299	16	uk	uk	PROPN
ejpam-4351	299	17	+	+	CCONJ
ejpam-4351	299	18	vk	vk	PROPN
ejpam-4351	299	19	b(uk	b(uk	PROPN
ejpam-4351	299	20	,	,	PUNCT
ejpam-4351	299	21	vk	vk	NOUN
ejpam-4351	299	22	)	)	PUNCT
ejpam-4351	299	23	=	=	SYM
ejpam-4351	300	1	[	[	PUNCT
ejpam-4351	300	2	(	(	PUNCT
ejpam-4351	300	3	nk	nk	NOUN
ejpam-4351	300	4	+	+	PROPN
ejpam-4351	300	5	1	1	NUM
ejpam-4351	300	6	)	)	PUNCT
ejpam-4351	300	7	+	+	CCONJ
ejpam-4351	300	8	uk	uk	PROPN
ejpam-4351	300	9	uk	uk	PROPN
ejpam-4351	300	10	+	+	CCONJ
ejpam-4351	300	11	vk	vk	X
ejpam-4351	300	12	]	]	PUNCT
ejpam-4351	300	13	b(uk	b(uk	NUM
ejpam-4351	300	14	,	,	PUNCT
ejpam-4351	300	15	vk	vk	NOUN
ejpam-4351	300	16	)	)	PUNCT
ejpam-4351	300	17	,	,	PUNCT
ejpam-4351	300	18	(	(	PUNCT
ejpam-4351	300	19	13	13	NUM
ejpam-4351	300	20	)	)	PUNCT
ejpam-4351	300	21	from	from	ADP
ejpam-4351	300	22	which	which	PRON
ejpam-4351	300	23	one	one	PRON
ejpam-4351	300	24	has	have	VERB
ejpam-4351	300	25	:	:	PUNCT
ejpam-4351	300	26	β̂k(ebd1	β̂k(ebd1	VERB
ejpam-4351	300	27	)	)	PUNCT
ejpam-4351	300	28	=	=	SYM
ejpam-4351	300	29	1	1	NUM
ejpam-4351	300	30	ckb(uk	ckb(uk	NOUN
ejpam-4351	300	31	,	,	PUNCT
ejpam-4351	300	32	vk	vk	PROPN
ejpam-4351	300	33	)	)	PUNCT
ejpam-4351	300	34	×	×	NOUN
ejpam-4351	300	35	ln	ln	NOUN
ejpam-4351	300	36	(	(	PUNCT
ejpam-4351	300	37	1	1	NUM
ejpam-4351	300	38	+	+	CCONJ
ejpam-4351	300	39	ck	ck	PROPN
ejpam-4351	300	40	ak	ak	PROPN
ejpam-4351	300	41	ck	ck	PROPN
ejpam-4351	300	42	)	)	PUNCT
ejpam-4351	300	43	×	×	NOUN
ejpam-4351	300	44	(	(	PUNCT
ejpam-4351	300	45	nk	nk	PROPN
ejpam-4351	300	46	+	+	NOUN
ejpam-4351	300	47	1	1	NUM
ejpam-4351	300	48	+	+	SYM
ejpam-4351	300	49	uk	uk	PROPN
ejpam-4351	300	50	uk	uk	PROPN
ejpam-4351	300	51	+	+	CCONJ
ejpam-4351	300	52	vk	vk	PROPN
ejpam-4351	300	53	)	)	PUNCT
ejpam-4351	300	54	b(uk	b(uk	PROPN
ejpam-4351	300	55	,	,	PUNCT
ejpam-4351	300	56	vk	vk	X
ejpam-4351	300	57	)	)	PUNCT
ejpam-4351	300	58	=	=	SYM
ejpam-4351	301	1	1	1	NUM
ejpam-4351	301	2	ck	ck	INTJ
ejpam-4351	301	3	ln	ln	NOUN
ejpam-4351	302	1	(	(	PUNCT
ejpam-4351	302	2	1	1	NUM
ejpam-4351	302	3	+	+	CCONJ
ejpam-4351	302	4	ck	ck	PROPN
ejpam-4351	302	5	ak	ak	PROPN
ejpam-4351	302	6	ck	ck	PROPN
ejpam-4351	302	7	)	)	PUNCT
ejpam-4351	302	8	×	×	NOUN
ejpam-4351	302	9	(	(	PUNCT
ejpam-4351	302	10	nk	nk	PROPN
ejpam-4351	302	11	+	+	NOUN
ejpam-4351	302	12	1	1	NUM
ejpam-4351	302	13	+	+	SYM
ejpam-4351	302	14	uk	uk	PROPN
ejpam-4351	302	15	uk	uk	PROPN
ejpam-4351	302	16	+	+	PROPN
ejpam-4351	302	17	vk	vk	PROPN
ejpam-4351	302	18	)	)	PUNCT
ejpam-4351	302	19	.	.	PUNCT
ejpam-4351	303	1	for	for	ADP
ejpam-4351	303	2	i	i	PRON
ejpam-4351	303	3	=	=	NOUN
ejpam-4351	303	4	2	2	NUM
ejpam-4351	303	5	,	,	PUNCT
ejpam-4351	303	6	under	under	ADP
ejpam-4351	303	7	degroot	degroot	PROPN
ejpam-4351	303	8	’s	’s	PART
ejpam-4351	303	9	loss	loss	NOUN
ejpam-4351	303	10	function	function	NOUN
ejpam-4351	303	11	,	,	PUNCT
ejpam-4351	303	12	and	and	CCONJ
ejpam-4351	303	13	for	for	ADP
ejpam-4351	303	14	the	the	DET
ejpam-4351	303	15	a	a	DET
ejpam-4351	303	16	priori	priori	X
ejpam-4351	303	17	π2(ak	π2(ak	PROPN
ejpam-4351	303	18	,	,	PUNCT
ejpam-4351	303	19	bk	bk	PROPN
ejpam-4351	303	20	)	)	PUNCT
ejpam-4351	303	21	,	,	PUNCT
ejpam-4351	303	22	the	the	DET
ejpam-4351	303	23	e	e	NOUN
ejpam-4351	303	24	-	-	NOUN
ejpam-4351	303	25	bayesian	bayesian	ADJ
ejpam-4351	303	26	estimator	estimator	NOUN
ejpam-4351	303	27	of	of	ADP
ejpam-4351	303	28	βk	βk	NOUN
ejpam-4351	303	29	is	be	AUX
ejpam-4351	303	30	given	give	VERB
ejpam-4351	303	31	by	by	ADP
ejpam-4351	303	32	:	:	PUNCT
ejpam-4351	303	33	β̂k(ebd2	β̂k(ebd2	X
ejpam-4351	303	34	)	)	PUNCT
ejpam-4351	303	35	=	=	SYM
ejpam-4351	304	1	∫	∫	PROPN
ejpam-4351	304	2	1	1	NUM
ejpam-4351	304	3	0	0	NUM
ejpam-4351	304	4	∫	∫	PROPN
ejpam-4351	304	5	ck	ck	INTJ
ejpam-4351	304	6	0	0	NUM
ejpam-4351	305	1	nk	nk	PROPN
ejpam-4351	305	2	+	+	PROPN
ejpam-4351	305	3	ak	ak	PROPN
ejpam-4351	305	4	+	+	CCONJ
ejpam-4351	305	5	1	1	NUM
ejpam-4351	305	6	bk	bk	NOUN
ejpam-4351	305	7	+	+	NOUN
ejpam-4351	305	8	ak	ak	PROPN
ejpam-4351	305	9	αk	αk	CCONJ
ejpam-4351	305	10	×	×	PROPN
ejpam-4351	305	11	2	2	NUM
ejpam-4351	305	12	c2kb(uk	c2kb(uk	PROPN
ejpam-4351	305	13	,	,	PUNCT
ejpam-4351	305	14	vk	vk	PROPN
ejpam-4351	305	15	)	)	PUNCT
ejpam-4351	305	16	×	×	NOUN
ejpam-4351	305	17	(	(	PUNCT
ejpam-4351	305	18	ck	ck	INTJ
ejpam-4351	305	19	−	−	PROPN
ejpam-4351	306	1	bk)a	bk)a	PROPN
ejpam-4351	306	2	uk−1	uk−1	PROPN
ejpam-4351	306	3	k	k	PROPN
ejpam-4351	306	4	(	(	PUNCT
ejpam-4351	306	5	1−	1−	NUM
ejpam-4351	306	6	ak	ak	PROPN
ejpam-4351	306	7	)	)	PUNCT
ejpam-4351	306	8	vk−1dbkdak	vk−1dbkdak	PROPN
ejpam-4351	306	9	=	=	SYM
ejpam-4351	307	1	∫	∫	PROPN
ejpam-4351	307	2	1	1	NUM
ejpam-4351	307	3	0	0	NUM
ejpam-4351	307	4	2(nk	2(nk	NOUN
ejpam-4351	308	1	+	+	CCONJ
ejpam-4351	308	2	ak	ak	PROPN
ejpam-4351	308	3	+	+	CCONJ
ejpam-4351	308	4	1	1	NUM
ejpam-4351	308	5	)	)	PUNCT
ejpam-4351	308	6	c1kb(uk	c1kb(uk	PROPN
ejpam-4351	308	7	,	,	PUNCT
ejpam-4351	308	8	vk	vk	PROPN
ejpam-4351	308	9	)	)	PUNCT
ejpam-4351	308	10	×	×	NOUN
ejpam-4351	309	1	auk−1	auk−1	PROPN
ejpam-4351	309	2	k	k	X
ejpam-4351	309	3	(	(	PUNCT
ejpam-4351	309	4	1−	1−	NUM
ejpam-4351	309	5	ak	ak	PROPN
ejpam-4351	309	6	)	)	PUNCT
ejpam-4351	309	7	vk−1	vk−1	PROPN
ejpam-4351	309	8	×	×	NOUN
ejpam-4351	309	9	(	(	PUNCT
ejpam-4351	309	10	∫	∫	PROPN
ejpam-4351	309	11	ck	ck	INTJ
ejpam-4351	309	12	0	0	NUM
ejpam-4351	309	13	ck	ck	NOUN
ejpam-4351	309	14	−	−	NOUN
ejpam-4351	309	15	bk	bk	INTJ
ejpam-4351	309	16	bk	bk	ADP
ejpam-4351	309	17	+	+	NOUN
ejpam-4351	309	18	ak	ak	PROPN
ejpam-4351	309	19	αk	αk	PROPN
ejpam-4351	309	20	dbk	dbk	PROPN
ejpam-4351	309	21	)	)	PUNCT
ejpam-4351	309	22	dak	dak	PROPN
ejpam-4351	309	23	d.	d.	PROPN
ejpam-4351	309	24	a.	a.	PROPN
ejpam-4351	309	25	n.	n.	PROPN
ejpam-4351	309	26	njamen	njamen	PROPN
ejpam-4351	309	27	et	et	PROPN
ejpam-4351	309	28	al	al	PROPN
ejpam-4351	309	29	.	.	PUNCT
ejpam-4351	309	30	/	/	SYM
ejpam-4351	309	31	eur	eur	PROPN
ejpam-4351	309	32	.	.	PUNCT
ejpam-4351	310	1	j.	j.	PROPN
ejpam-4351	310	2	pure	pure	PROPN
ejpam-4351	310	3	appl	appl	PROPN
ejpam-4351	310	4	.	.	PROPN
ejpam-4351	310	5	math	math	PROPN
ejpam-4351	310	6	,	,	PUNCT
ejpam-4351	310	7	15	15	NUM
ejpam-4351	310	8	(	(	PUNCT
ejpam-4351	310	9	2	2	NUM
ejpam-4351	310	10	)	)	PUNCT
ejpam-4351	310	11	(	(	PUNCT
ejpam-4351	310	12	2022	2022	NUM
ejpam-4351	310	13	)	)	PUNCT
ejpam-4351	310	14	,	,	PUNCT
ejpam-4351	310	15	753	753	NUM
ejpam-4351	310	16	-	-	SYM
ejpam-4351	310	17	773	773	NUM
ejpam-4351	310	18	766	766	NUM
ejpam-4351	310	19	=	=	SYM
ejpam-4351	310	20	∫	∫	PROPN
ejpam-4351	310	21	1	1	NUM
ejpam-4351	310	22	0	0	NUM
ejpam-4351	310	23	2(nk	2(nk	NOUN
ejpam-4351	311	1	+	+	CCONJ
ejpam-4351	311	2	ak	ak	PROPN
ejpam-4351	311	3	+	+	CCONJ
ejpam-4351	311	4	1	1	NUM
ejpam-4351	311	5	)	)	PUNCT
ejpam-4351	311	6	c1kb(uk	c1kb(uk	PROPN
ejpam-4351	311	7	,	,	PUNCT
ejpam-4351	311	8	vk	vk	PROPN
ejpam-4351	311	9	)	)	PUNCT
ejpam-4351	311	10	×	×	NOUN
ejpam-4351	312	1	auk−1	auk−1	PROPN
ejpam-4351	312	2	k	k	X
ejpam-4351	312	3	(	(	PUNCT
ejpam-4351	312	4	1−	1−	NUM
ejpam-4351	312	5	ak	ak	PROPN
ejpam-4351	312	6	)	)	PUNCT
ejpam-4351	312	7	vk−1	vk−1	PROPN
ejpam-4351	312	8	×	×	NOUN
ejpam-4351	312	9	[	[	PUNCT
ejpam-4351	312	10	−bk	−bk	X
ejpam-4351	312	11	+	+	CCONJ
ejpam-4351	312	12	(	(	PUNCT
ejpam-4351	312	13	ck	ck	INTJ
ejpam-4351	312	14	+	+	NUM
ejpam-4351	312	15	ak	ak	PROPN
ejpam-4351	312	16	αk	αk	NOUN
ejpam-4351	312	17	)	)	PUNCT
ejpam-4351	312	18	ln(bk	ln(bk	PROPN
ejpam-4351	312	19	+	+	CCONJ
ejpam-4351	312	20	ak	ak	PROPN
ejpam-4351	312	21	αk	αk	NOUN
ejpam-4351	312	22	)	)	PUNCT
ejpam-4351	312	23	]	]	X
ejpam-4351	312	24	ck	ck	X
ejpam-4351	312	25	0	0	NUM
ejpam-4351	312	26	dak	dak	PROPN
ejpam-4351	312	27	=	=	SYM
ejpam-4351	312	28	∫	∫	PROPN
ejpam-4351	312	29	1	1	NUM
ejpam-4351	312	30	0	0	NUM
ejpam-4351	312	31	2(nk	2(nk	NOUN
ejpam-4351	312	32	+	+	CCONJ
ejpam-4351	312	33	ak	ak	PROPN
ejpam-4351	312	34	+	+	CCONJ
ejpam-4351	312	35	1	1	NUM
ejpam-4351	312	36	)	)	PUNCT
ejpam-4351	312	37	c1kb(uk	c1kb(uk	PROPN
ejpam-4351	312	38	,	,	PUNCT
ejpam-4351	312	39	vk	vk	PROPN
ejpam-4351	312	40	)	)	PUNCT
ejpam-4351	312	41	×	×	NOUN
ejpam-4351	312	42	auk−1	auk−1	PROPN
ejpam-4351	312	43	k	k	X
ejpam-4351	312	44	(	(	PUNCT
ejpam-4351	312	45	1−	1−	NUM
ejpam-4351	312	46	ak	ak	PROPN
ejpam-4351	312	47	)	)	PUNCT
ejpam-4351	312	48	vk−1	vk−1	PROPN
ejpam-4351	312	49	×	×	NOUN
ejpam-4351	312	50	[	[	PUNCT
ejpam-4351	312	51	−ck	−ck	NOUN
ejpam-4351	312	52	+	+	CCONJ
ejpam-4351	312	53	(	(	PUNCT
ejpam-4351	312	54	ck	ck	INTJ
ejpam-4351	312	55	+	+	NUM
ejpam-4351	312	56	ak	ak	PROPN
ejpam-4351	312	57	αk	αk	NOUN
ejpam-4351	312	58	)	)	PUNCT
ejpam-4351	313	1	ln(1	ln(1	PROPN
ejpam-4351	313	2	+	+	CCONJ
ejpam-4351	313	3	ck	ck	PROPN
ejpam-4351	313	4	ak	ak	PROPN
ejpam-4351	313	5	αk	αk	NOUN
ejpam-4351	313	6	)	)	PUNCT
ejpam-4351	313	7	]	]	PUNCT
ejpam-4351	314	1	dak	dak	PROPN
ejpam-4351	314	2	=	=	SYM
ejpam-4351	314	3	2	2	PROPN
ejpam-4351	314	4	[	[	PUNCT
ejpam-4351	314	5	−ck	−ck	NOUN
ejpam-4351	314	6	+	+	CCONJ
ejpam-4351	314	7	(	(	PUNCT
ejpam-4351	314	8	ck	ck	INTJ
ejpam-4351	314	9	+	+	NUM
ejpam-4351	314	10	ak	ak	PROPN
ejpam-4351	314	11	αk	αk	NOUN
ejpam-4351	314	12	)	)	PUNCT
ejpam-4351	314	13	ln	ln	NOUN
ejpam-4351	314	14	(	(	PUNCT
ejpam-4351	314	15	1	1	NUM
ejpam-4351	314	16	+	+	CCONJ
ejpam-4351	314	17	ck	ck	PROPN
ejpam-4351	314	18	ak	ak	PROPN
ejpam-4351	314	19	αk	αk	NOUN
ejpam-4351	314	20	)	)	PUNCT
ejpam-4351	314	21	]	]	PUNCT
ejpam-4351	315	1	c2b(uk	c2b(uk	VERB
ejpam-4351	315	2	,	,	PUNCT
ejpam-4351	315	3	vk	vk	PROPN
ejpam-4351	315	4	)	)	PUNCT
ejpam-4351	315	5	×	×	NOUN
ejpam-4351	315	6	∫	∫	NOUN
ejpam-4351	315	7	1	1	NUM
ejpam-4351	315	8	0	0	NUM
ejpam-4351	315	9	(	(	PUNCT
ejpam-4351	315	10	nk	nk	PROPN
ejpam-4351	315	11	+	+	PROPN
ejpam-4351	315	12	ak	ak	PROPN
ejpam-4351	315	13	+	+	PROPN
ejpam-4351	315	14	1)auk+1	1)auk+1	NUM
ejpam-4351	315	15	k	k	NOUN
ejpam-4351	315	16	(	(	PUNCT
ejpam-4351	315	17	1−	1−	NUM
ejpam-4351	315	18	ak	ak	PROPN
ejpam-4351	315	19	)	)	PUNCT
ejpam-4351	315	20	vk−1dak	vk−1dak	PROPN
ejpam-4351	315	21	=	=	SYM
ejpam-4351	315	22	2	2	NUM
ejpam-4351	315	23	[	[	PUNCT
ejpam-4351	315	24	−ck	−ck	NOUN
ejpam-4351	315	25	+	+	CCONJ
ejpam-4351	315	26	(	(	PUNCT
ejpam-4351	315	27	ck	ck	INTJ
ejpam-4351	315	28	+	+	NUM
ejpam-4351	315	29	ak	ak	PROPN
ejpam-4351	315	30	αk	αk	NOUN
ejpam-4351	315	31	)	)	PUNCT
ejpam-4351	315	32	ln	ln	NOUN
ejpam-4351	315	33	(	(	PUNCT
ejpam-4351	315	34	1	1	NUM
ejpam-4351	315	35	+	+	CCONJ
ejpam-4351	315	36	ck	ck	PROPN
ejpam-4351	315	37	ak	ak	PROPN
ejpam-4351	315	38	αk	αk	NOUN
ejpam-4351	315	39	)	)	PUNCT
ejpam-4351	315	40	]	]	PUNCT
ejpam-4351	316	1	c2b(uk	c2b(uk	VERB
ejpam-4351	316	2	,	,	PUNCT
ejpam-4351	316	3	vk	vk	PROPN
ejpam-4351	316	4	)	)	PUNCT
ejpam-4351	316	5	×	×	PROPN
ejpam-4351	316	6	i1	i1	PROPN
ejpam-4351	316	7	,	,	PUNCT
ejpam-4351	316	8	where	where	SCONJ
ejpam-4351	316	9	i1	i1	PROPN
ejpam-4351	316	10	is	be	AUX
ejpam-4351	316	11	defined	define	VERB
ejpam-4351	316	12	above	above	ADV
ejpam-4351	316	13	.	.	PUNCT
ejpam-4351	317	1	thus	thus	ADV
ejpam-4351	317	2	,	,	PUNCT
ejpam-4351	317	3	β̂k(ebd2	β̂k(ebd2	NOUN
ejpam-4351	317	4	)	)	PUNCT
ejpam-4351	317	5	=	=	SYM
ejpam-4351	317	6	2	2	NUM
ejpam-4351	317	7	[	[	PUNCT
ejpam-4351	317	8	−ck	−ck	NOUN
ejpam-4351	317	9	+	+	CCONJ
ejpam-4351	317	10	(	(	PUNCT
ejpam-4351	317	11	ck	ck	INTJ
ejpam-4351	317	12	+	+	NUM
ejpam-4351	317	13	ak	ak	PROPN
ejpam-4351	317	14	αk	αk	NOUN
ejpam-4351	317	15	)	)	PUNCT
ejpam-4351	317	16	ln	ln	NOUN
ejpam-4351	317	17	(	(	PUNCT
ejpam-4351	317	18	1	1	NUM
ejpam-4351	317	19	+	+	CCONJ
ejpam-4351	317	20	ck	ck	PROPN
ejpam-4351	317	21	ak	ak	PROPN
ejpam-4351	317	22	αk	αk	NOUN
ejpam-4351	317	23	)	)	PUNCT
ejpam-4351	317	24	]	]	PUNCT
ejpam-4351	318	1	c2b(uk	c2b(uk	VERB
ejpam-4351	318	2	,	,	PUNCT
ejpam-4351	318	3	vk	vk	PROPN
ejpam-4351	318	4	)	)	PUNCT
ejpam-4351	318	5	×	×	NOUN
ejpam-4351	318	6	[	[	PUNCT
ejpam-4351	318	7	(	(	PUNCT
ejpam-4351	318	8	nk	nk	PROPN
ejpam-4351	318	9	+	+	PROPN
ejpam-4351	318	10	1	1	NUM
ejpam-4351	318	11	)	)	PUNCT
ejpam-4351	318	12	+	+	CCONJ
ejpam-4351	318	13	uk	uk	PROPN
ejpam-4351	318	14	uk	uk	PROPN
ejpam-4351	318	15	+	+	CCONJ
ejpam-4351	318	16	vk	vk	X
ejpam-4351	318	17	]	]	PUNCT
ejpam-4351	318	18	b(uk	b(uk	NUM
ejpam-4351	318	19	,	,	PUNCT
ejpam-4351	318	20	vk	vk	X
ejpam-4351	318	21	)	)	PUNCT
ejpam-4351	318	22	=	=	SYM
ejpam-4351	318	23	2	2	NUM
ejpam-4351	318	24	[	[	PUNCT
ejpam-4351	318	25	−ck	−ck	NOUN
ejpam-4351	318	26	+	+	CCONJ
ejpam-4351	318	27	(	(	PUNCT
ejpam-4351	318	28	ck	ck	INTJ
ejpam-4351	318	29	+	+	NUM
ejpam-4351	318	30	ak	ak	PROPN
ejpam-4351	318	31	αk	αk	NOUN
ejpam-4351	318	32	)	)	PUNCT
ejpam-4351	318	33	ln	ln	NOUN
ejpam-4351	318	34	(	(	PUNCT
ejpam-4351	318	35	1	1	NUM
ejpam-4351	318	36	+	+	CCONJ
ejpam-4351	318	37	ck	ck	PROPN
ejpam-4351	318	38	ak	ak	PROPN
ejpam-4351	318	39	αk	αk	NOUN
ejpam-4351	318	40	)	)	PUNCT
ejpam-4351	318	41	]	]	PUNCT
ejpam-4351	319	1	c2	c2	PROPN
ejpam-4351	319	2	×	×	PROPN
ejpam-4351	319	3	[	[	PUNCT
ejpam-4351	319	4	(	(	PUNCT
ejpam-4351	319	5	nk	nk	PROPN
ejpam-4351	319	6	+	+	PROPN
ejpam-4351	319	7	1	1	NUM
ejpam-4351	319	8	)	)	PUNCT
ejpam-4351	319	9	+	+	CCONJ
ejpam-4351	319	10	uk	uk	PROPN
ejpam-4351	319	11	uk	uk	PROPN
ejpam-4351	319	12	+	+	CCONJ
ejpam-4351	319	13	vk	vk	X
ejpam-4351	319	14	]	]	PUNCT
ejpam-4351	319	15	=	=	PUNCT
ejpam-4351	320	1	2c−2	2c−2	NUM
ejpam-4351	320	2	k	k	NOUN
ejpam-4351	320	3	[	[	PUNCT
ejpam-4351	320	4	−ck	−ck	PROPN
ejpam-4351	320	5	+	+	CCONJ
ejpam-4351	320	6	(	(	PUNCT
ejpam-4351	320	7	ck	ck	INTJ
ejpam-4351	320	8	+	+	NUM
ejpam-4351	320	9	ak	ak	PROPN
ejpam-4351	320	10	αk	αk	NOUN
ejpam-4351	320	11	)	)	PUNCT
ejpam-4351	320	12	ln	ln	NOUN
ejpam-4351	320	13	(	(	PUNCT
ejpam-4351	320	14	1	1	NUM
ejpam-4351	320	15	+	+	CCONJ
ejpam-4351	320	16	ck	ck	PROPN
ejpam-4351	320	17	ak	ak	PROPN
ejpam-4351	320	18	αk	αk	NOUN
ejpam-4351	320	19	)	)	PUNCT
ejpam-4351	320	20	]	]	PUNCT
ejpam-4351	321	1	×	×	NOUN
ejpam-4351	321	2	(	(	PUNCT
ejpam-4351	321	3	nk	nk	PROPN
ejpam-4351	321	4	+	+	NOUN
ejpam-4351	321	5	1	1	NUM
ejpam-4351	321	6	+	+	SYM
ejpam-4351	321	7	uk	uk	PROPN
ejpam-4351	321	8	uk	uk	PROPN
ejpam-4351	321	9	+	+	PROPN
ejpam-4351	321	10	vk	vk	PROPN
ejpam-4351	321	11	)	)	PUNCT
ejpam-4351	321	12	.	.	PUNCT
ejpam-4351	322	1	for	for	ADP
ejpam-4351	322	2	i	i	PRON
ejpam-4351	322	3	=	=	NOUN
ejpam-4351	322	4	3	3	NUM
ejpam-4351	322	5	,	,	PUNCT
ejpam-4351	322	6	under	under	ADP
ejpam-4351	322	7	degroot	degroot	PROPN
ejpam-4351	322	8	’s	’s	PART
ejpam-4351	322	9	loss	loss	NOUN
ejpam-4351	322	10	function	function	NOUN
ejpam-4351	322	11	,	,	PUNCT
ejpam-4351	322	12	and	and	CCONJ
ejpam-4351	322	13	for	for	ADP
ejpam-4351	322	14	the	the	DET
ejpam-4351	322	15	a	a	DET
ejpam-4351	322	16	priori	priori	ADJ
ejpam-4351	322	17	distribution	distribution	NOUN
ejpam-4351	322	18	π3(ak	π3(ak	PROPN
ejpam-4351	322	19	,	,	PUNCT
ejpam-4351	322	20	bk	bk	PROPN
ejpam-4351	322	21	)	)	PUNCT
ejpam-4351	322	22	,	,	PUNCT
ejpam-4351	322	23	the	the	DET
ejpam-4351	322	24	e	e	NOUN
ejpam-4351	322	25	-	-	NOUN
ejpam-4351	322	26	bayesian	bayesian	ADJ
ejpam-4351	322	27	estimator	estimator	NOUN
ejpam-4351	322	28	of	of	ADP
ejpam-4351	322	29	βk	βk	NOUN
ejpam-4351	322	30	is	be	AUX
ejpam-4351	322	31	given	give	VERB
ejpam-4351	322	32	by	by	ADP
ejpam-4351	322	33	:	:	PUNCT
ejpam-4351	322	34	β̂k(ebd3	β̂k(ebd3	X
ejpam-4351	322	35	)	)	PUNCT
ejpam-4351	323	1	=	=	SYM
ejpam-4351	323	2	∫	∫	PROPN
ejpam-4351	323	3	1	1	NUM
ejpam-4351	323	4	0	0	NUM
ejpam-4351	323	5	∫	∫	PROPN
ejpam-4351	324	1	ck	ck	PROPN
ejpam-4351	324	2	0	0	PROPN
ejpam-4351	324	3	β̂k(bd)(ak	β̂k(bd)(ak	PROPN
ejpam-4351	324	4	,	,	PUNCT
ejpam-4351	324	5	bk)π3(ak	bk)π3(ak	NUM
ejpam-4351	324	6	,	,	PUNCT
ejpam-4351	324	7	bk)dbkdak	bk)dbkdak	NOUN
ejpam-4351	324	8	=	=	SYM
ejpam-4351	324	9	∫	∫	PROPN
ejpam-4351	324	10	1	1	NUM
ejpam-4351	324	11	0	0	NUM
ejpam-4351	324	12	∫	∫	PROPN
ejpam-4351	325	1	ck	ck	INTJ
ejpam-4351	325	2	0	0	NUM
ejpam-4351	326	1	nk	nk	PROPN
ejpam-4351	326	2	+	+	PROPN
ejpam-4351	326	3	ak	ak	PROPN
ejpam-4351	326	4	+	+	CCONJ
ejpam-4351	326	5	1	1	NUM
ejpam-4351	326	6	bk	bk	NOUN
ejpam-4351	326	7	+	+	NOUN
ejpam-4351	326	8	ak	ak	PROPN
ejpam-4351	326	9	αk	αk	NOUN
ejpam-4351	326	10	×	×	PROPN
ejpam-4351	326	11	2bk	2bk	PROPN
ejpam-4351	326	12	c2kb(uk	c2kb(uk	PROPN
ejpam-4351	326	13	,	,	PUNCT
ejpam-4351	326	14	vk	vk	PROPN
ejpam-4351	326	15	)	)	PUNCT
ejpam-4351	326	16	×	×	NOUN
ejpam-4351	326	17	auk−1	auk−1	PROPN
ejpam-4351	326	18	k	k	X
ejpam-4351	326	19	(	(	PUNCT
ejpam-4351	326	20	1−	1−	NUM
ejpam-4351	326	21	ak	ak	PROPN
ejpam-4351	326	22	)	)	PUNCT
ejpam-4351	326	23	vk−1dbkdak	vk−1dbkdak	PROPN
ejpam-4351	327	1	=	=	SYM
ejpam-4351	327	2	∫	∫	PROPN
ejpam-4351	327	3	1	1	NUM
ejpam-4351	327	4	0	0	NUM
ejpam-4351	327	5	2(nk	2(nk	NOUN
ejpam-4351	328	1	+	+	CCONJ
ejpam-4351	328	2	ak	ak	PROPN
ejpam-4351	328	3	+	+	PROPN
ejpam-4351	328	4	1	1	NUM
ejpam-4351	328	5	)	)	PUNCT
ejpam-4351	328	6	c2kb(uk	c2kb(uk	PROPN
ejpam-4351	328	7	,	,	PUNCT
ejpam-4351	328	8	vk	vk	PROPN
ejpam-4351	328	9	)	)	PUNCT
ejpam-4351	328	10	×	×	NOUN
ejpam-4351	328	11	auk−1	auk−1	PROPN
ejpam-4351	328	12	k	k	X
ejpam-4351	328	13	(	(	PUNCT
ejpam-4351	328	14	1−	1−	NUM
ejpam-4351	328	15	ak	ak	PROPN
ejpam-4351	328	16	)	)	PUNCT
ejpam-4351	328	17	vk−1	vk−1	PROPN
ejpam-4351	328	18	×	×	NOUN
ejpam-4351	328	19	(	(	PUNCT
ejpam-4351	328	20	∫	∫	PROPN
ejpam-4351	328	21	ck	ck	INTJ
ejpam-4351	328	22	0	0	PUNCT
ejpam-4351	328	23	bk	bk	NOUN
ejpam-4351	328	24	bk	bk	ADP
ejpam-4351	328	25	+	+	NOUN
ejpam-4351	328	26	ak	ak	PROPN
ejpam-4351	328	27	αk	αk	PROPN
ejpam-4351	328	28	dbk	dbk	PROPN
ejpam-4351	328	29	)	)	PUNCT
ejpam-4351	328	30	dak	dak	PROPN
ejpam-4351	328	31	=	=	SYM
ejpam-4351	328	32	∫	∫	PROPN
ejpam-4351	328	33	1	1	NUM
ejpam-4351	328	34	0	0	NUM
ejpam-4351	328	35	2(nk	2(nk	NOUN
ejpam-4351	328	36	+	+	CCONJ
ejpam-4351	328	37	ak	ak	PROPN
ejpam-4351	328	38	+	+	PROPN
ejpam-4351	328	39	1	1	NUM
ejpam-4351	328	40	)	)	PUNCT
ejpam-4351	328	41	c2kb(uk	c2kb(uk	PROPN
ejpam-4351	328	42	,	,	PUNCT
ejpam-4351	328	43	vk	vk	PROPN
ejpam-4351	328	44	)	)	PUNCT
ejpam-4351	328	45	×	×	NOUN
ejpam-4351	328	46	auk−1	auk−1	PROPN
ejpam-4351	328	47	k	k	X
ejpam-4351	328	48	(	(	PUNCT
ejpam-4351	328	49	1−	1−	NUM
ejpam-4351	328	50	ak	ak	PROPN
ejpam-4351	328	51	)	)	PUNCT
ejpam-4351	328	52	vk−1	vk−1	PROPN
ejpam-4351	328	53	×	×	NOUN
ejpam-4351	328	54	[	[	PUNCT
ejpam-4351	328	55	bk	bk	NOUN
ejpam-4351	328	56	−	−	PROPN
ejpam-4351	328	57	(	(	PUNCT
ejpam-4351	328	58	ak	ak	INTJ
ejpam-4351	328	59	αk	αk	INTJ
ejpam-4351	328	60	)	)	PUNCT
ejpam-4351	328	61	ln	ln	NOUN
ejpam-4351	329	1	(	(	PUNCT
ejpam-4351	329	2	bk	bk	NOUN
ejpam-4351	329	3	+	+	NOUN
ejpam-4351	329	4	ak	ak	PROPN
ejpam-4351	329	5	αk	αk	NOUN
ejpam-4351	329	6	)	)	PUNCT
ejpam-4351	329	7	]	]	X
ejpam-4351	329	8	ck	ck	PROPN
ejpam-4351	329	9	0	0	NUM
ejpam-4351	329	10	dak	dak	PROPN
ejpam-4351	329	11	=	=	SYM
ejpam-4351	329	12	∫	∫	PROPN
ejpam-4351	329	13	1	1	NUM
ejpam-4351	329	14	0	0	NUM
ejpam-4351	329	15	2(nk	2(nk	NOUN
ejpam-4351	329	16	+	+	CCONJ
ejpam-4351	329	17	ak	ak	PROPN
ejpam-4351	329	18	+	+	PROPN
ejpam-4351	329	19	1	1	NUM
ejpam-4351	329	20	)	)	PUNCT
ejpam-4351	329	21	c2kb(uk	c2kb(uk	PROPN
ejpam-4351	329	22	,	,	PUNCT
ejpam-4351	329	23	vk	vk	PROPN
ejpam-4351	329	24	)	)	PUNCT
ejpam-4351	329	25	×	×	NOUN
ejpam-4351	329	26	auk−1	auk−1	PROPN
ejpam-4351	329	27	k	k	X
ejpam-4351	329	28	(	(	PUNCT
ejpam-4351	329	29	1−	1−	NUM
ejpam-4351	329	30	ak	ak	PROPN
ejpam-4351	329	31	)	)	PUNCT
ejpam-4351	329	32	vk−1	vk−1	PROPN
ejpam-4351	329	33	×	×	NOUN
ejpam-4351	329	34	[	[	PUNCT
ejpam-4351	329	35	ck	ck	INTJ
ejpam-4351	329	36	−	−	PROPN
ejpam-4351	329	37	(	(	PUNCT
ejpam-4351	329	38	ak	ak	INTJ
ejpam-4351	329	39	αk	αk	INTJ
ejpam-4351	329	40	)	)	PUNCT
ejpam-4351	329	41	ln	ln	NOUN
ejpam-4351	329	42	(	(	PUNCT
ejpam-4351	329	43	1	1	NUM
ejpam-4351	329	44	+	+	CCONJ
ejpam-4351	329	45	ck	ck	PROPN
ejpam-4351	329	46	ak	ak	PROPN
ejpam-4351	329	47	αk	αk	NOUN
ejpam-4351	329	48	)	)	PUNCT
ejpam-4351	329	49	]	]	PUNCT
ejpam-4351	330	1	dak	dak	PROPN
ejpam-4351	330	2	=	=	SYM
ejpam-4351	330	3	2	2	NUM
ejpam-4351	330	4	c2kb(uk	c2kb(uk	PROPN
ejpam-4351	330	5	,	,	PUNCT
ejpam-4351	330	6	vk	vk	PROPN
ejpam-4351	330	7	)	)	PUNCT
ejpam-4351	330	8	[	[	PUNCT
ejpam-4351	330	9	ck	ck	INTJ
ejpam-4351	330	10	−	−	PROPN
ejpam-4351	331	1	(	(	PUNCT
ejpam-4351	331	2	ak	ak	INTJ
ejpam-4351	331	3	αk	αk	INTJ
ejpam-4351	331	4	)	)	PUNCT
ejpam-4351	331	5	ln	ln	NOUN
ejpam-4351	331	6	(	(	PUNCT
ejpam-4351	331	7	1	1	NUM
ejpam-4351	331	8	+	+	CCONJ
ejpam-4351	331	9	ck	ck	PROPN
ejpam-4351	331	10	ak	ak	PROPN
ejpam-4351	331	11	αk	αk	NOUN
ejpam-4351	331	12	)	)	PUNCT
ejpam-4351	331	13	]	]	X
ejpam-4351	331	14	∫	∫	PROPN
ejpam-4351	331	15	1	1	NUM
ejpam-4351	331	16	0	0	NUM
ejpam-4351	332	1	(	(	PUNCT
ejpam-4351	332	2	nk	nk	PROPN
ejpam-4351	332	3	+	+	PROPN
ejpam-4351	332	4	ak	ak	PROPN
ejpam-4351	332	5	+	+	CCONJ
ejpam-4351	332	6	1)auk−1	1)auk−1	NUM
ejpam-4351	332	7	k	k	X
ejpam-4351	332	8	(	(	PUNCT
ejpam-4351	332	9	1−	1−	NUM
ejpam-4351	332	10	ak	ak	PROPN
ejpam-4351	332	11	)	)	PUNCT
ejpam-4351	332	12	vk−1dak	vk−1dak	PROPN
ejpam-4351	333	1	=	=	SYM
ejpam-4351	334	1	2	2	NUM
ejpam-4351	334	2	c2kb(uk	c2kb(uk	PROPN
ejpam-4351	334	3	,	,	PUNCT
ejpam-4351	334	4	vk	vk	PROPN
ejpam-4351	334	5	)	)	PUNCT
ejpam-4351	334	6	[	[	PUNCT
ejpam-4351	334	7	ck	ck	INTJ
ejpam-4351	334	8	−	−	PROPN
ejpam-4351	334	9	(	(	PUNCT
ejpam-4351	334	10	ak	ak	INTJ
ejpam-4351	334	11	αk	αk	INTJ
ejpam-4351	334	12	)	)	PUNCT
ejpam-4351	335	1	ln	ln	NOUN
ejpam-4351	335	2	(	(	PUNCT
ejpam-4351	335	3	1	1	NUM
ejpam-4351	335	4	+	+	CCONJ
ejpam-4351	335	5	ck	ck	PROPN
ejpam-4351	335	6	ak	ak	PROPN
ejpam-4351	335	7	αk	αk	NOUN
ejpam-4351	335	8	)	)	PUNCT
ejpam-4351	335	9	]	]	PUNCT
ejpam-4351	336	1	×	×	PROPN
ejpam-4351	336	2	i1	i1	PROPN
ejpam-4351	336	3	d.	d.	PROPN
ejpam-4351	336	4	a.	a.	PROPN
ejpam-4351	336	5	n.	n.	PROPN
ejpam-4351	336	6	njamen	njamen	PROPN
ejpam-4351	336	7	et	et	PROPN
ejpam-4351	336	8	al	al	PROPN
ejpam-4351	336	9	.	.	PUNCT
ejpam-4351	336	10	/	/	SYM
ejpam-4351	336	11	eur	eur	PROPN
ejpam-4351	336	12	.	.	PUNCT
ejpam-4351	337	1	j.	j.	PROPN
ejpam-4351	337	2	pure	pure	PROPN
ejpam-4351	337	3	appl	appl	PROPN
ejpam-4351	337	4	.	.	PROPN
ejpam-4351	337	5	math	math	PROPN
ejpam-4351	337	6	,	,	PUNCT
ejpam-4351	337	7	15	15	NUM
ejpam-4351	337	8	(	(	PUNCT
ejpam-4351	337	9	2	2	NUM
ejpam-4351	337	10	)	)	PUNCT
ejpam-4351	337	11	(	(	PUNCT
ejpam-4351	337	12	2022	2022	NUM
ejpam-4351	337	13	)	)	PUNCT
ejpam-4351	337	14	,	,	PUNCT
ejpam-4351	337	15	753	753	NUM
ejpam-4351	337	16	-	-	SYM
ejpam-4351	337	17	773	773	NUM
ejpam-4351	337	18	767	767	NUM
ejpam-4351	337	19	=	=	SYM
ejpam-4351	337	20	2	2	NUM
ejpam-4351	337	21	c2kb(uk	c2kb(uk	PROPN
ejpam-4351	337	22	,	,	PUNCT
ejpam-4351	337	23	vk	vk	PROPN
ejpam-4351	337	24	)	)	PUNCT
ejpam-4351	337	25	[	[	PUNCT
ejpam-4351	337	26	ck	ck	INTJ
ejpam-4351	337	27	−	−	PROPN
ejpam-4351	338	1	(	(	PUNCT
ejpam-4351	338	2	ak	ak	INTJ
ejpam-4351	338	3	αk	αk	INTJ
ejpam-4351	338	4	)	)	PUNCT
ejpam-4351	338	5	ln	ln	NOUN
ejpam-4351	338	6	(	(	PUNCT
ejpam-4351	338	7	1	1	NUM
ejpam-4351	338	8	+	+	CCONJ
ejpam-4351	338	9	ck	ck	PROPN
ejpam-4351	338	10	ak	ak	PROPN
ejpam-4351	338	11	αk	αk	NOUN
ejpam-4351	338	12	)	)	PUNCT
ejpam-4351	338	13	]	]	PUNCT
ejpam-4351	339	1	×b(uk	×b(uk	NOUN
ejpam-4351	339	2	,	,	PUNCT
ejpam-4351	339	3	vk	vk	PROPN
ejpam-4351	339	4	)	)	PUNCT
ejpam-4351	339	5	[	[	PUNCT
ejpam-4351	339	6	(	(	PUNCT
ejpam-4351	339	7	nk	nk	NOUN
ejpam-4351	339	8	+	+	NOUN
ejpam-4351	339	9	1	1	NUM
ejpam-4351	339	10	)	)	PUNCT
ejpam-4351	339	11	+	+	CCONJ
ejpam-4351	339	12	uk	uk	PROPN
ejpam-4351	339	13	uk	uk	PROPN
ejpam-4351	339	14	+	+	CCONJ
ejpam-4351	339	15	vk	vk	X
ejpam-4351	339	16	]	]	PUNCT
ejpam-4351	339	17	from	from	ADP
ejpam-4351	339	18	(	(	PUNCT
ejpam-4351	339	19	18	18	NUM
ejpam-4351	339	20	)	)	PUNCT
ejpam-4351	339	21	=	=	SYM
ejpam-4351	339	22	2	2	X
ejpam-4351	339	23	c2k	c2k	PRON
ejpam-4351	339	24	[	[	PUNCT
ejpam-4351	339	25	ck	ck	INTJ
ejpam-4351	339	26	−	−	PROPN
ejpam-4351	339	27	(	(	PUNCT
ejpam-4351	339	28	ak	ak	INTJ
ejpam-4351	339	29	αk	αk	INTJ
ejpam-4351	339	30	)	)	PUNCT
ejpam-4351	339	31	ln	ln	NOUN
ejpam-4351	339	32	(	(	PUNCT
ejpam-4351	339	33	1	1	NUM
ejpam-4351	339	34	+	+	CCONJ
ejpam-4351	339	35	ck	ck	PROPN
ejpam-4351	339	36	ak	ak	PROPN
ejpam-4351	339	37	αk	αk	NOUN
ejpam-4351	339	38	)	)	PUNCT
ejpam-4351	339	39	]	]	PUNCT
ejpam-4351	340	1	×	×	NOUN
ejpam-4351	340	2	[	[	PUNCT
ejpam-4351	340	3	(	(	PUNCT
ejpam-4351	340	4	nk	nk	PROPN
ejpam-4351	340	5	+	+	PROPN
ejpam-4351	340	6	1	1	NUM
ejpam-4351	340	7	)	)	PUNCT
ejpam-4351	340	8	+	+	CCONJ
ejpam-4351	340	9	uk	uk	PROPN
ejpam-4351	340	10	uk	uk	PROPN
ejpam-4351	340	11	+	+	CCONJ
ejpam-4351	340	12	vk	vk	X
ejpam-4351	340	13	]	]	PUNCT
ejpam-4351	340	14	.	.	PUNCT
ejpam-4351	341	1	this	this	DET
ejpam-4351	341	2	expression	expression	NOUN
ejpam-4351	341	3	gives	give	VERB
ejpam-4351	341	4	the	the	DET
ejpam-4351	341	5	e	e	NOUN
ejpam-4351	341	6	-	-	NOUN
ejpam-4351	341	7	bayesian	bayesian	ADJ
ejpam-4351	341	8	estimator	estimator	NOUN
ejpam-4351	341	9	of	of	ADP
ejpam-4351	341	10	βk	βk	NOUN
ejpam-4351	341	11	for	for	ADP
ejpam-4351	341	12	the	the	DET
ejpam-4351	341	13	a	a	DET
ejpam-4351	341	14	priori	priori	X
ejpam-4351	341	15	π3(ak	π3(ak	PROPN
ejpam-4351	341	16	,	,	PUNCT
ejpam-4351	341	17	bk	bk	PROPN
ejpam-4351	341	18	)	)	PUNCT
ejpam-4351	341	19	.	.	PUNCT
ejpam-4351	342	1	6	6	NUM
ejpam-4351	342	2	.	.	X
ejpam-4351	343	1	e	e	X
ejpam-4351	343	2	-	-	NOUN
ejpam-4351	343	3	bayesian	bayesian	ADJ
ejpam-4351	343	4	estimation	estimation	NOUN
ejpam-4351	343	5	for	for	ADP
ejpam-4351	343	6	the	the	DET
ejpam-4351	343	7	entropy	entropy	PROPN
ejpam-4351	343	8	loss	loss	PROPN
ejpam-4351	343	9	function	function	NOUN
ejpam-4351	343	10	6.1	6.1	NUM
ejpam-4351	343	11	.	.	PUNCT
ejpam-4351	344	1	entropy	entropy	PROPN
ejpam-4351	344	2	loss	loss	NOUN
ejpam-4351	344	3	function	function	NOUN
ejpam-4351	344	4	[	[	X
ejpam-4351	344	5	4	4	X
ejpam-4351	344	6	]	]	PUNCT
ejpam-4351	344	7	proposed	propose	VERB
ejpam-4351	344	8	a	a	DET
ejpam-4351	344	9	loss	loss	NOUN
ejpam-4351	344	10	function	function	NOUN
ejpam-4351	344	11	which	which	PRON
ejpam-4351	344	12	results	result	VERB
ejpam-4351	344	13	from	from	ADP
ejpam-4351	344	14	the	the	DET
ejpam-4351	344	15	linex	linex	ADJ
ejpam-4351	344	16	loss	loss	NOUN
ejpam-4351	344	17	function	function	NOUN
ejpam-4351	344	18	called	call	VERB
ejpam-4351	344	19	the	the	DET
ejpam-4351	344	20	entropy	entropy	NOUN
ejpam-4351	344	21	loss	loss	NOUN
ejpam-4351	344	22	function	function	NOUN
ejpam-4351	344	23	,	,	PUNCT
ejpam-4351	344	24	defined	define	VERB
ejpam-4351	344	25	by	by	ADP
ejpam-4351	344	26	:	:	PUNCT
ejpam-4351	345	1	le(θ	le(θ	ADJ
ejpam-4351	345	2	,	,	PUNCT
ejpam-4351	345	3	d	d	X
ejpam-4351	345	4	)	)	PUNCT
ejpam-4351	345	5	∝	∝	PROPN
ejpam-4351	345	6	(	(	PUNCT
ejpam-4351	345	7	d	d	NOUN
ejpam-4351	345	8	θ	θ	PROPN
ejpam-4351	345	9	)	)	PUNCT
ejpam-4351	346	1	p	p	NOUN
ejpam-4351	346	2	−	−	PROPN
ejpam-4351	347	1	p	p	X
ejpam-4351	347	2	ln	ln	NOUN
ejpam-4351	347	3	(	(	PUNCT
ejpam-4351	347	4	d	d	PROPN
ejpam-4351	347	5	θ	θ	PROPN
ejpam-4351	347	6	)	)	PUNCT
ejpam-4351	348	1	−	−	PROPN
ejpam-4351	349	1	1	1	X
ejpam-4351	349	2	.	.	NUM
ejpam-4351	349	3	le(θ	le(θ	VERB
ejpam-4351	349	4	,	,	PUNCT
ejpam-4351	349	5	d	d	X
ejpam-4351	349	6	)	)	PUNCT
ejpam-4351	349	7	is	be	AUX
ejpam-4351	349	8	minimal	minimal	ADJ
ejpam-4351	349	9	at	at	ADP
ejpam-4351	349	10	d	d	PROPN
ejpam-4351	349	11	=	=	SYM
ejpam-4351	349	12	θ	θ	PROPN
ejpam-4351	349	13	.	.	PUNCT
ejpam-4351	350	1	the	the	DET
ejpam-4351	350	2	bayes	bayes	PROPN
ejpam-4351	350	3	estimator	estimator	NOUN
ejpam-4351	350	4	of	of	ADP
ejpam-4351	350	5	the	the	DET
ejpam-4351	350	6	parameter	parameter	NOUN
ejpam-4351	350	7	θ	θ	PROPN
ejpam-4351	350	8	under	under	ADP
ejpam-4351	350	9	this	this	DET
ejpam-4351	350	10	loss	loss	NOUN
ejpam-4351	350	11	function	function	NOUN
ejpam-4351	350	12	is	be	AUX
ejpam-4351	350	13	defined	define	VERB
ejpam-4351	350	14	for	for	ADP
ejpam-4351	350	15	all	all	PRON
ejpam-4351	350	16	p	p	NOUN
ejpam-4351	350	17	∈	∈	NOUN
ejpam-4351	350	18	r	r	NOUN
ejpam-4351	350	19	by	by	ADP
ejpam-4351	350	20	:	:	PUNCT
ejpam-4351	350	21	δ(x	δ(x	ADJ
ejpam-4351	350	22	)	)	PUNCT
ejpam-4351	350	23	=	=	PUNCT
ejpam-4351	350	24	(	(	PUNCT
ejpam-4351	350	25	eθ(θ	eθ(θ	X
ejpam-4351	350	26	)	)	PUNCT
ejpam-4351	350	27	−p	−p	NOUN
ejpam-4351	350	28	)	)	PUNCT
ejpam-4351	350	29	−1	−1	NOUN
ejpam-4351	350	30	p	p	NOUN
ejpam-4351	350	31	.	.	PUNCT
ejpam-4351	351	1	•	•	NUM
ejpam-4351	351	2	when	when	SCONJ
ejpam-4351	351	3	p	p	NOUN
ejpam-4351	351	4	=	=	NOUN
ejpam-4351	351	5	1	1	NUM
ejpam-4351	351	6	,	,	PUNCT
ejpam-4351	351	7	the	the	DET
ejpam-4351	351	8	bayes	bayes	PROPN
ejpam-4351	351	9	estimator	estimator	NOUN
ejpam-4351	351	10	coincides	coincide	VERB
ejpam-4351	351	11	with	with	ADP
ejpam-4351	351	12	the	the	DET
ejpam-4351	351	13	bayes	bayes	PROPN
ejpam-4351	351	14	estimator	estimator	NOUN
ejpam-4351	351	15	under	under	ADP
ejpam-4351	351	16	the	the	DET
ejpam-4351	351	17	weighted	weight	VERB
ejpam-4351	351	18	squared	square	VERB
ejpam-4351	351	19	loss	loss	NOUN
ejpam-4351	351	20	function	function	NOUN
ejpam-4351	351	21	:	:	PUNCT
ejpam-4351	351	22	(	(	PUNCT
ejpam-4351	351	23	d−	d−	PROPN
ejpam-4351	351	24	θ)2	θ)2	NOUN
ejpam-4351	351	25	θ	θ	PROPN
ejpam-4351	351	26	.	.	PUNCT
ejpam-4351	352	1	•	•	X
ejpam-4351	352	2	when	when	SCONJ
ejpam-4351	352	3	p	p	PROPN
ejpam-4351	352	4	=	=	SYM
ejpam-4351	352	5	−1	−1	NOUN
ejpam-4351	352	6	,	,	PUNCT
ejpam-4351	352	7	the	the	DET
ejpam-4351	352	8	bayes	bayes	PROPN
ejpam-4351	352	9	estimator	estimator	NOUN
ejpam-4351	352	10	coincides	coincide	VERB
ejpam-4351	352	11	with	with	ADP
ejpam-4351	352	12	the	the	DET
ejpam-4351	352	13	bayes	bayes	PROPN
ejpam-4351	352	14	estimator	estimator	NOUN
ejpam-4351	352	15	under	under	ADP
ejpam-4351	352	16	the	the	DET
ejpam-4351	352	17	quadratic	quadratic	ADJ
ejpam-4351	352	18	loss	loss	NOUN
ejpam-4351	352	19	function	function	NOUN
ejpam-4351	352	20	.	.	PUNCT
ejpam-4351	353	1	the	the	DET
ejpam-4351	353	2	e	e	NOUN
ejpam-4351	353	3	-	-	NOUN
ejpam-4351	353	4	bayesian	bayesian	ADJ
ejpam-4351	353	5	estimator	estimator	NOUN
ejpam-4351	353	6	of	of	ADP
ejpam-4351	353	7	βk	βk	NOUN
ejpam-4351	353	8	for	for	ADP
ejpam-4351	353	9	the	the	DET
ejpam-4351	353	10	hyper	hyper	NOUN
ejpam-4351	353	11	-	-	NOUN
ejpam-4351	353	12	parameters	parameter	NOUN
ejpam-4351	353	13	ak	ak	PROPN
ejpam-4351	353	14	and	and	CCONJ
ejpam-4351	353	15	bk	bk	PROPN
ejpam-4351	353	16	is	be	AUX
ejpam-4351	353	17	given	give	VERB
ejpam-4351	353	18	by	by	ADP
ejpam-4351	353	19	the	the	DET
ejpam-4351	353	20	formula	formula	NOUN
ejpam-4351	353	21	:	:	PUNCT
ejpam-4351	353	22	β̂k(ebei	β̂k(ebei	NOUN
ejpam-4351	353	23	)	)	PUNCT
ejpam-4351	353	24	=	=	SYM
ejpam-4351	354	1	∫	∫	PROPN
ejpam-4351	354	2	∫	∫	PROPN
ejpam-4351	354	3	d	d	PROPN
ejpam-4351	354	4	β̂k(be)(ak	β̂k(be)(ak	PROPN
ejpam-4351	354	5	,	,	PUNCT
ejpam-4351	354	6	bk)πi(ak	bk)πi(ak	VERB
ejpam-4351	354	7	,	,	PUNCT
ejpam-4351	354	8	bk)dbkdak	bk)dbkdak	NOUN
ejpam-4351	354	9	,	,	PUNCT
ejpam-4351	354	10	i	i	PRON
ejpam-4351	354	11	=	=	NOUN
ejpam-4351	354	12	1	1	NUM
ejpam-4351	354	13	,	,	PUNCT
ejpam-4351	354	14	2	2	NUM
ejpam-4351	354	15	,	,	PUNCT
ejpam-4351	354	16	3	3	NUM
ejpam-4351	354	17	,	,	PUNCT
ejpam-4351	354	18	where	where	SCONJ
ejpam-4351	354	19	d	d	NOUN
ejpam-4351	354	20	is	be	AUX
ejpam-4351	354	21	the	the	DET
ejpam-4351	354	22	decision	decision	NOUN
ejpam-4351	354	23	space	space	NOUN
ejpam-4351	354	24	and	and	CCONJ
ejpam-4351	354	25	β̂k(be	β̂k(be	NUM
ejpam-4351	354	26	)	)	PUNCT
ejpam-4351	354	27	is	be	AUX
ejpam-4351	354	28	the	the	DET
ejpam-4351	354	29	bayesian	bayesian	NOUN
ejpam-4351	354	30	estimator	estimator	NOUN
ejpam-4351	354	31	of	of	ADP
ejpam-4351	354	32	βk	βk	ADV
ejpam-4351	354	33	defined	define	VERB
ejpam-4351	354	34	by	by	ADP
ejpam-4351	354	35	(	(	PUNCT
ejpam-4351	354	36	see	see	VERB
ejpam-4351	354	37	[	[	X
ejpam-4351	354	38	23	23	NUM
ejpam-4351	354	39	]	]	PUNCT
ejpam-4351	354	40	)	)	PUNCT
ejpam-4351	354	41	:	:	PUNCT
ejpam-4351	355	1	β̂k(be)(αk	β̂k(be)(αk	ADJ
ejpam-4351	355	2	,	,	PUNCT
ejpam-4351	355	3	βk	βk	NOUN
ejpam-4351	355	4	)	)	PUNCT
ejpam-4351	355	5	=	=	NOUN
ejpam-4351	355	6			NOUN
ejpam-4351	355	7	1	1	NUM
ejpam-4351	355	8	(	(	PUNCT
ejpam-4351	355	9	bk	bk	VERB
ejpam-4351	355	10	+	+	NOUN
ejpam-4351	355	11	ak	ak	PROPN
ejpam-4351	355	12	αk	αk	NOUN
ejpam-4351	355	13	)	)	PUNCT
ejpam-4351	355	14	−1	−1	NOUN
ejpam-4351	355	15	×	×	NOUN
ejpam-4351	355	16	γ(nk	γ(nk	PUNCT
ejpam-4351	355	17	+	+	CCONJ
ejpam-4351	355	18	ak	ak	PROPN
ejpam-4351	355	19	−	−	PROPN
ejpam-4351	355	20	p	p	NOUN
ejpam-4351	355	21	)	)	PUNCT
ejpam-4351	355	22	γ(nk	γ(nk	PROPN
ejpam-4351	355	23	+	+	CCONJ
ejpam-4351	355	24	ak	ak	NOUN
ejpam-4351	355	25	)	)	PUNCT
ejpam-4351	355	26			NUM
ejpam-4351	355	27	−1	−1	NOUN
ejpam-4351	355	28	/	/	SYM
ejpam-4351	355	29	p	p	NOUN
ejpam-4351	355	30	,	,	PUNCT
ejpam-4351	355	31	with	with	ADP
ejpam-4351	355	32	αk	αk	NOUN
ejpam-4351	355	33	>	>	X
ejpam-4351	355	34	0	0	X
ejpam-4351	355	35	.	.	PUNCT
ejpam-4351	355	36	d.	d.	PROPN
ejpam-4351	355	37	a.	a.	PROPN
ejpam-4351	355	38	n.	n.	PROPN
ejpam-4351	355	39	njamen	njamen	PROPN
ejpam-4351	355	40	et	et	PROPN
ejpam-4351	355	41	al	al	PROPN
ejpam-4351	355	42	.	.	PUNCT
ejpam-4351	355	43	/	/	SYM
ejpam-4351	355	44	eur	eur	PROPN
ejpam-4351	355	45	.	.	PUNCT
ejpam-4351	356	1	j.	j.	PROPN
ejpam-4351	356	2	pure	pure	PROPN
ejpam-4351	356	3	appl	appl	PROPN
ejpam-4351	356	4	.	.	PROPN
ejpam-4351	356	5	math	math	PROPN
ejpam-4351	356	6	,	,	PUNCT
ejpam-4351	356	7	15	15	NUM
ejpam-4351	356	8	(	(	PUNCT
ejpam-4351	356	9	2	2	NUM
ejpam-4351	356	10	)	)	PUNCT
ejpam-4351	356	11	(	(	PUNCT
ejpam-4351	356	12	2022	2022	NUM
ejpam-4351	356	13	)	)	PUNCT
ejpam-4351	356	14	,	,	PUNCT
ejpam-4351	356	15	753	753	NUM
ejpam-4351	356	16	-	-	SYM
ejpam-4351	356	17	773	773	NUM
ejpam-4351	356	18	768	768	NUM
ejpam-4351	356	19	6.2	6.2	NUM
ejpam-4351	356	20	.	.	PUNCT
ejpam-4351	357	1	e	e	X
ejpam-4351	357	2	-	-	NOUN
ejpam-4351	357	3	bayesian	bayesian	ADJ
ejpam-4351	357	4	estimators	estimator	NOUN
ejpam-4351	357	5	of	of	ADP
ejpam-4351	357	6	βk	βk	ADP
ejpam-4351	357	7	theorem	theorem	NOUN
ejpam-4351	357	8	3	3	NUM
ejpam-4351	357	9	.	.	PUNCT
ejpam-4351	358	1	under	under	ADP
ejpam-4351	358	2	the	the	DET
ejpam-4351	358	3	entropy	entropy	NOUN
ejpam-4351	358	4	loss	loss	NOUN
ejpam-4351	358	5	function	function	NOUN
ejpam-4351	358	6	for	for	ADP
ejpam-4351	358	7	p	p	NOUN
ejpam-4351	358	8	=	=	SYM
ejpam-4351	358	9	1	1	NUM
ejpam-4351	358	10	,	,	PUNCT
ejpam-4351	358	11	the	the	DET
ejpam-4351	358	12	e	e	NOUN
ejpam-4351	358	13	-	-	NOUN
ejpam-4351	358	14	bayesian	bayesian	ADJ
ejpam-4351	358	15	estimators	estimator	NOUN
ejpam-4351	358	16	of	of	ADP
ejpam-4351	358	17	βk	βk	ADP
ejpam-4351	358	18	for	for	SCONJ
ejpam-4351	358	19	the	the	DET
ejpam-4351	358	20	priors	prior	NOUN
ejpam-4351	358	21	πi(ak	πi(ak	PROPN
ejpam-4351	358	22	,	,	PUNCT
ejpam-4351	358	23	bk	bk	PROPN
ejpam-4351	358	24	)	)	PUNCT
ejpam-4351	358	25	,	,	PUNCT
ejpam-4351	358	26	i	i	PRON
ejpam-4351	358	27	∈	∈	PROPN
ejpam-4351	358	28	{	{	PUNCT
ejpam-4351	358	29	1	1	NUM
ejpam-4351	358	30	,	,	PUNCT
ejpam-4351	358	31	2	2	NUM
ejpam-4351	358	32	,	,	PUNCT
ejpam-4351	358	33	3	3	NUM
ejpam-4351	358	34	}	}	PUNCT
ejpam-4351	358	35	are	be	AUX
ejpam-4351	358	36	given	give	VERB
ejpam-4351	358	37	by	by	ADP
ejpam-4351	358	38	:	:	PUNCT
ejpam-4351	358	39			PROPN
ejpam-4351	358	40	β̂k(ebe1	β̂k(ebe1	NOUN
ejpam-4351	358	41	)	)	PUNCT
ejpam-4351	358	42	=	=	SYM
ejpam-4351	359	1	c−1	c−1	PROPN
ejpam-4351	359	2	k	k	PROPN
ejpam-4351	359	3	ln	ln	NOUN
ejpam-4351	359	4	(	(	PUNCT
ejpam-4351	359	5	1	1	NUM
ejpam-4351	359	6	+	+	CCONJ
ejpam-4351	359	7	ck	ck	PROPN
ejpam-4351	359	8	ak	ak	PROPN
ejpam-4351	359	9	αk	αk	NOUN
ejpam-4351	359	10	)	)	PUNCT
ejpam-4351	359	11	(	(	PUNCT
ejpam-4351	359	12	nk	nk	PROPN
ejpam-4351	359	13	−	−	PROPN
ejpam-4351	359	14	1	1	NUM
ejpam-4351	359	15	+	+	NUM
ejpam-4351	359	16	uk	uk	PROPN
ejpam-4351	359	17	uk	uk	PROPN
ejpam-4351	359	18	+	+	PROPN
ejpam-4351	359	19	vk	vk	PROPN
ejpam-4351	359	20	)	)	PUNCT
ejpam-4351	359	21	β̂k(ebe2	β̂k(ebe2	ADV
ejpam-4351	359	22	)	)	PUNCT
ejpam-4351	360	1	=	=	PUNCT
ejpam-4351	361	1	2c−2	2c−2	NUM
ejpam-4351	361	2	k	k	NOUN
ejpam-4351	361	3	[	[	PUNCT
ejpam-4351	361	4	−ck	−ck	PROPN
ejpam-4351	361	5	+	+	CCONJ
ejpam-4351	361	6	(	(	PUNCT
ejpam-4351	361	7	ck	ck	INTJ
ejpam-4351	361	8	+	+	NUM
ejpam-4351	361	9	ak	ak	PROPN
ejpam-4351	361	10	αk	αk	NOUN
ejpam-4351	361	11	)	)	PUNCT
ejpam-4351	361	12	ln	ln	NOUN
ejpam-4351	361	13	(	(	PUNCT
ejpam-4351	361	14	1	1	NUM
ejpam-4351	361	15	+	+	CCONJ
ejpam-4351	361	16	ck	ck	PROPN
ejpam-4351	361	17	ak	ak	PROPN
ejpam-4351	361	18	αk	αk	NOUN
ejpam-4351	361	19	)	)	PUNCT
ejpam-4351	361	20	]	]	PUNCT
ejpam-4351	361	21	(	(	PUNCT
ejpam-4351	361	22	nk	nk	INTJ
ejpam-4351	361	23	−	−	PROPN
ejpam-4351	361	24	1	1	NUM
ejpam-4351	361	25	+	+	NUM
ejpam-4351	361	26	uk	uk	PROPN
ejpam-4351	361	27	uk	uk	PROPN
ejpam-4351	361	28	+	+	CCONJ
ejpam-4351	361	29	vk	vk	PROPN
ejpam-4351	361	30	)	)	PUNCT
ejpam-4351	361	31	β̂k(ebe3	β̂k(ebe3	NOUN
ejpam-4351	361	32	)	)	PUNCT
ejpam-4351	361	33	=	=	SYM
ejpam-4351	362	1	2c−2	2c−2	NUM
ejpam-4351	362	2	k	k	NOUN
ejpam-4351	362	3	[	[	PUNCT
ejpam-4351	362	4	ck	ck	INTJ
ejpam-4351	362	5	−	−	PROPN
ejpam-4351	362	6	(	(	PUNCT
ejpam-4351	362	7	ak	ak	INTJ
ejpam-4351	362	8	αk	αk	INTJ
ejpam-4351	362	9	)	)	PUNCT
ejpam-4351	362	10	ln	ln	NOUN
ejpam-4351	362	11	(	(	PUNCT
ejpam-4351	362	12	1	1	NUM
ejpam-4351	362	13	+	+	CCONJ
ejpam-4351	362	14	ck	ck	PROPN
ejpam-4351	362	15	ak	ak	PROPN
ejpam-4351	362	16	αk	αk	NOUN
ejpam-4351	362	17	)	)	PUNCT
ejpam-4351	362	18	]	]	PUNCT
ejpam-4351	362	19	(	(	PUNCT
ejpam-4351	362	20	nk	nk	INTJ
ejpam-4351	362	21	−	−	PROPN
ejpam-4351	362	22	1	1	NUM
ejpam-4351	362	23	+	+	NUM
ejpam-4351	362	24	uk	uk	PROPN
ejpam-4351	362	25	uk	uk	PROPN
ejpam-4351	362	26	+	+	PROPN
ejpam-4351	362	27	vk	vk	PROPN
ejpam-4351	362	28	)	)	PUNCT
ejpam-4351	362	29	(	(	PUNCT
ejpam-4351	362	30	14	14	NUM
ejpam-4351	362	31	)	)	PUNCT
ejpam-4351	363	1	where	where	SCONJ
ejpam-4351	363	2	αk	αk	AUX
ejpam-4351	363	3	>	>	X
ejpam-4351	363	4	0	0	NUM
ejpam-4351	363	5	,	,	PUNCT
ejpam-4351	363	6	0	0	PUNCT
ejpam-4351	363	7	<	<	X
ejpam-4351	363	8	ak	ak	X
ejpam-4351	363	9	<	<	X
ejpam-4351	363	10	1	1	NUM
ejpam-4351	363	11	and	and	CCONJ
ejpam-4351	363	12	0	0	NUM
ejpam-4351	363	13	<	<	X
ejpam-4351	363	14	bk	bk	X
ejpam-4351	363	15	<	<	X
ejpam-4351	363	16	ck	ck	INTJ
ejpam-4351	363	17	.	.	PUNCT
ejpam-4351	363	18	proof	proof	NOUN
ejpam-4351	363	19	.	.	PUNCT
ejpam-4351	364	1	for	for	ADP
ejpam-4351	364	2	i	i	PRON
ejpam-4351	364	3	=	=	NOUN
ejpam-4351	364	4	1	1	NUM
ejpam-4351	364	5	,	,	PUNCT
ejpam-4351	364	6	under	under	ADP
ejpam-4351	364	7	the	the	DET
ejpam-4351	364	8	entropy	entropy	NOUN
ejpam-4351	364	9	loss	loss	NOUN
ejpam-4351	364	10	function	function	NOUN
ejpam-4351	364	11	for	for	ADP
ejpam-4351	364	12	p	p	NOUN
ejpam-4351	364	13	=	=	SYM
ejpam-4351	364	14	1	1	NUM
ejpam-4351	364	15	and	and	CCONJ
ejpam-4351	364	16	for	for	ADP
ejpam-4351	364	17	the	the	DET
ejpam-4351	364	18	prior	prior	ADJ
ejpam-4351	364	19	π1(ak	π1(ak	PROPN
ejpam-4351	364	20	,	,	PUNCT
ejpam-4351	364	21	bk	bk	NOUN
ejpam-4351	364	22	)	)	PUNCT
ejpam-4351	364	23	,	,	PUNCT
ejpam-4351	364	24	the	the	DET
ejpam-4351	364	25	e	e	NOUN
ejpam-4351	364	26	-	-	NOUN
ejpam-4351	364	27	bayesian	bayesian	ADJ
ejpam-4351	364	28	estimator	estimator	NOUN
ejpam-4351	364	29	of	of	ADP
ejpam-4351	364	30	βk	βk	NOUN
ejpam-4351	364	31	is	be	AUX
ejpam-4351	364	32	given	give	VERB
ejpam-4351	364	33	by	by	ADP
ejpam-4351	364	34	:	:	PUNCT
ejpam-4351	364	35	β̂k(ebe1	β̂k(ebe1	NUM
ejpam-4351	364	36	)	)	PUNCT
ejpam-4351	365	1	=	=	SYM
ejpam-4351	365	2	∫	∫	PROPN
ejpam-4351	366	1	1	1	NUM
ejpam-4351	366	2	0	0	NUM
ejpam-4351	366	3	∫	∫	PROPN
ejpam-4351	366	4	ck	ck	NOUN
ejpam-4351	366	5	0	0	NUM
ejpam-4351	366	6			NUM
ejpam-4351	366	7	1	1	NUM
ejpam-4351	366	8	(	(	PUNCT
ejpam-4351	366	9	bk	bk	VERB
ejpam-4351	366	10	+	+	NOUN
ejpam-4351	366	11	ak	ak	PROPN
ejpam-4351	366	12	αk	αk	NOUN
ejpam-4351	366	13	)	)	PUNCT
ejpam-4351	366	14	−1	−1	NOUN
ejpam-4351	366	15	×	×	NOUN
ejpam-4351	366	16	γ(nk	γ(nk	PUNCT
ejpam-4351	366	17	+	+	CCONJ
ejpam-4351	366	18	ak	ak	PROPN
ejpam-4351	366	19	−	−	PROPN
ejpam-4351	366	20	p	p	NOUN
ejpam-4351	366	21	)	)	PUNCT
ejpam-4351	366	22	γ(nk	γ(nk	PROPN
ejpam-4351	366	23	+	+	CCONJ
ejpam-4351	366	24	ak	ak	NOUN
ejpam-4351	366	25	)	)	PUNCT
ejpam-4351	366	26			PROPN
ejpam-4351	367	1	−1/1	−1/1	ADJ
ejpam-4351	367	2	×	×	NOUN
ejpam-4351	367	3	1	1	NUM
ejpam-4351	367	4	ckb(uk	ckb(uk	NOUN
ejpam-4351	367	5	,	,	PUNCT
ejpam-4351	367	6	vk	vk	PROPN
ejpam-4351	367	7	)	)	PUNCT
ejpam-4351	367	8	auk−1	auk−1	PROPN
ejpam-4351	367	9	k	k	X
ejpam-4351	367	10	(	(	PUNCT
ejpam-4351	367	11	1−	1−	NUM
ejpam-4351	367	12	ak	ak	PROPN
ejpam-4351	367	13	)	)	PUNCT
ejpam-4351	367	14	vk−1dbkdak	vk−1dbkdak	PROPN
ejpam-4351	368	1	=	=	SYM
ejpam-4351	368	2	∫	∫	PROPN
ejpam-4351	369	1	1	1	NUM
ejpam-4351	369	2	0	0	NUM
ejpam-4351	369	3	∫	∫	PROPN
ejpam-4351	369	4	ck	ck	NOUN
ejpam-4351	369	5	0	0	NUM
ejpam-4351	369	6			NUM
ejpam-4351	369	7	1	1	NUM
ejpam-4351	369	8	(	(	PUNCT
ejpam-4351	369	9	bk	bk	VERB
ejpam-4351	369	10	+	+	NOUN
ejpam-4351	369	11	ak	ak	PROPN
ejpam-4351	369	12	αk	αk	NOUN
ejpam-4351	369	13	)	)	PUNCT
ejpam-4351	369	14	−1	−1	NOUN
ejpam-4351	369	15	×	×	NOUN
ejpam-4351	369	16	γ(nk	γ(nk	PUNCT
ejpam-4351	369	17	+	+	CCONJ
ejpam-4351	369	18	ak	ak	PROPN
ejpam-4351	369	19	−	−	PROPN
ejpam-4351	369	20	p	p	NOUN
ejpam-4351	369	21	)	)	PUNCT
ejpam-4351	369	22	(	(	PUNCT
ejpam-4351	369	23	nk	nk	PROPN
ejpam-4351	369	24	+	+	PROPN
ejpam-4351	369	25	ak	ak	PROPN
ejpam-4351	369	26	−	−	PROPN
ejpam-4351	369	27	1)γ(nk	1)γ(nk	NUM
ejpam-4351	369	28	+	+	NUM
ejpam-4351	369	29	ak	ak	PROPN
ejpam-4351	369	30	−	−	PROPN
ejpam-4351	369	31	1	1	NUM
ejpam-4351	369	32	)	)	PUNCT
ejpam-4351	369	33			NUM
ejpam-4351	369	34	−1	−1	NOUN
ejpam-4351	369	35	×	×	NOUN
ejpam-4351	369	36	1	1	NUM
ejpam-4351	369	37	ckb(uk	ckb(uk	NOUN
ejpam-4351	369	38	,	,	PUNCT
ejpam-4351	369	39	vk	vk	PROPN
ejpam-4351	369	40	)	)	PUNCT
ejpam-4351	370	1	auk−1	auk−1	PROPN
ejpam-4351	370	2	k	k	X
ejpam-4351	370	3	(	(	PUNCT
ejpam-4351	370	4	1−	1−	NUM
ejpam-4351	370	5	ak	ak	PROPN
ejpam-4351	370	6	)	)	PUNCT
ejpam-4351	370	7	vk−1dbkdak	vk−1dbkdak	PROPN
ejpam-4351	371	1	=	=	SYM
ejpam-4351	372	1	∫	∫	PROPN
ejpam-4351	373	1	1	1	NUM
ejpam-4351	373	2	0	0	NUM
ejpam-4351	373	3	∫	∫	PROPN
ejpam-4351	373	4	ck	ck	INTJ
ejpam-4351	373	5	0	0	NUM
ejpam-4351	374	1	nk	nk	PROPN
ejpam-4351	374	2	+	+	PROPN
ejpam-4351	374	3	ak	ak	PROPN
ejpam-4351	374	4	−	−	PROPN
ejpam-4351	374	5	1	1	NUM
ejpam-4351	374	6	bk	bk	VERB
ejpam-4351	374	7	+	+	NOUN
ejpam-4351	374	8	ak	ak	PROPN
ejpam-4351	374	9	αk	αk	NOUN
ejpam-4351	374	10	×	×	PROPN
ejpam-4351	374	11	1	1	NUM
ejpam-4351	374	12	ckb(uk	ckb(uk	NOUN
ejpam-4351	374	13	,	,	PUNCT
ejpam-4351	374	14	vk	vk	PROPN
ejpam-4351	374	15	)	)	PUNCT
ejpam-4351	374	16	auk−1	auk−1	PROPN
ejpam-4351	374	17	k	k	X
ejpam-4351	374	18	(	(	PUNCT
ejpam-4351	374	19	1−	1−	NUM
ejpam-4351	374	20	ak	ak	PROPN
ejpam-4351	374	21	)	)	PUNCT
ejpam-4351	374	22	vk−1dbkdak	vk−1dbkdak	PROPN
ejpam-4351	374	23	=	=	SYM
ejpam-4351	375	1	∫	∫	PROPN
ejpam-4351	376	1	1	1	NUM
ejpam-4351	376	2	0	0	NUM
ejpam-4351	376	3	nk	nk	PROPN
ejpam-4351	376	4	+	+	PROPN
ejpam-4351	376	5	ak	ak	PROPN
ejpam-4351	376	6	−	−	PROPN
ejpam-4351	376	7	1	1	NUM
ejpam-4351	376	8	ckb(uk	ckb(uk	NOUN
ejpam-4351	376	9	,	,	PUNCT
ejpam-4351	376	10	vk	vk	PROPN
ejpam-4351	376	11	)	)	PUNCT
ejpam-4351	376	12	×	×	NOUN
ejpam-4351	376	13	auk−1	auk−1	PROPN
ejpam-4351	376	14	k	k	X
ejpam-4351	376	15	(	(	PUNCT
ejpam-4351	376	16	1−	1−	NUM
ejpam-4351	376	17	ak	ak	PROPN
ejpam-4351	376	18	)	)	PUNCT
ejpam-4351	376	19	vk−1	vk−1	PROPN
ejpam-4351	376	20	×	×	NOUN
ejpam-4351	376	21	(	(	PUNCT
ejpam-4351	376	22	∫	∫	PROPN
ejpam-4351	376	23	ck	ck	INTJ
ejpam-4351	376	24	0	0	NUM
ejpam-4351	376	25	1	1	NUM
ejpam-4351	376	26	bk	bk	ADP
ejpam-4351	376	27	+	+	NOUN
ejpam-4351	376	28	ak	ak	PROPN
ejpam-4351	376	29	αk	αk	PROPN
ejpam-4351	376	30	dbk	dbk	PROPN
ejpam-4351	376	31	)	)	PUNCT
ejpam-4351	376	32	dak	dak	PROPN
ejpam-4351	376	33	=	=	SYM
ejpam-4351	376	34	∫	∫	PROPN
ejpam-4351	377	1	1	1	NUM
ejpam-4351	377	2	0	0	NUM
ejpam-4351	377	3	nk	nk	PROPN
ejpam-4351	377	4	+	+	PROPN
ejpam-4351	377	5	ak	ak	PROPN
ejpam-4351	377	6	−	−	PROPN
ejpam-4351	377	7	1	1	NUM
ejpam-4351	377	8	ckb(uk	ckb(uk	NOUN
ejpam-4351	377	9	,	,	PUNCT
ejpam-4351	377	10	vk	vk	PROPN
ejpam-4351	377	11	)	)	PUNCT
ejpam-4351	377	12	×	×	NOUN
ejpam-4351	377	13	auk−1	auk−1	PROPN
ejpam-4351	377	14	k	k	X
ejpam-4351	377	15	(	(	PUNCT
ejpam-4351	377	16	1−	1−	NUM
ejpam-4351	377	17	ak	ak	PROPN
ejpam-4351	377	18	)	)	PUNCT
ejpam-4351	377	19	vk−1	vk−1	PROPN
ejpam-4351	377	20	×	×	NOUN
ejpam-4351	377	21	ln	ln	NOUN
ejpam-4351	377	22	(	(	PUNCT
ejpam-4351	377	23	1	1	NUM
ejpam-4351	377	24	+	+	CCONJ
ejpam-4351	377	25	ck	ck	PROPN
ejpam-4351	377	26	ak	ak	PROPN
ejpam-4351	377	27	αk	αk	NOUN
ejpam-4351	377	28	)	)	PUNCT
ejpam-4351	377	29	dak	dak	PROPN
ejpam-4351	377	30	=	=	SYM
ejpam-4351	377	31	1	1	NUM
ejpam-4351	377	32	ckb(uk	ckb(uk	NOUN
ejpam-4351	377	33	,	,	PUNCT
ejpam-4351	377	34	vk	vk	PROPN
ejpam-4351	377	35	)	)	PUNCT
ejpam-4351	377	36	×	×	NOUN
ejpam-4351	377	37	ln	ln	NOUN
ejpam-4351	377	38	(	(	PUNCT
ejpam-4351	377	39	1	1	NUM
ejpam-4351	377	40	+	+	CCONJ
ejpam-4351	377	41	ck	ck	PROPN
ejpam-4351	377	42	ak	ak	PROPN
ejpam-4351	377	43	αk	αk	NOUN
ejpam-4351	377	44	)	)	PUNCT
ejpam-4351	377	45	∫	∫	PROPN
ejpam-4351	378	1	1	1	NUM
ejpam-4351	378	2	0	0	NUM
ejpam-4351	378	3	(	(	PUNCT
ejpam-4351	378	4	nk	nk	PROPN
ejpam-4351	378	5	+	+	PROPN
ejpam-4351	378	6	ak	ak	PROPN
ejpam-4351	378	7	−	−	PROPN
ejpam-4351	378	8	1)×	1)×	NUM
ejpam-4351	378	9	auk−1	auk−1	PROPN
ejpam-4351	378	10	k	k	X
ejpam-4351	378	11	(	(	PUNCT
ejpam-4351	378	12	1−	1−	NUM
ejpam-4351	378	13	ak	ak	PROPN
ejpam-4351	378	14	)	)	PUNCT
ejpam-4351	378	15	vk−1dak	vk−1dak	PROPN
ejpam-4351	378	16	=	=	SYM
ejpam-4351	378	17	1	1	NUM
ejpam-4351	378	18	ckb(uk	ckb(uk	NOUN
ejpam-4351	378	19	,	,	PUNCT
ejpam-4351	378	20	vk	vk	PROPN
ejpam-4351	378	21	)	)	PUNCT
ejpam-4351	378	22	×	×	NOUN
ejpam-4351	378	23	ln	ln	NOUN
ejpam-4351	378	24	(	(	PUNCT
ejpam-4351	378	25	1	1	NUM
ejpam-4351	378	26	+	+	CCONJ
ejpam-4351	378	27	ck	ck	PROPN
ejpam-4351	378	28	ak	ak	PROPN
ejpam-4351	378	29	αk	αk	NOUN
ejpam-4351	378	30	)	)	PUNCT
ejpam-4351	378	31	×	×	PROPN
ejpam-4351	378	32	i2	i2	PROPN
ejpam-4351	378	33	,	,	PUNCT
ejpam-4351	378	34	with	with	ADP
ejpam-4351	378	35	i2	i2	PROPN
ejpam-4351	378	36	=	=	SYM
ejpam-4351	378	37	∫	∫	PROPN
ejpam-4351	378	38	1	1	NUM
ejpam-4351	378	39	0	0	NUM
ejpam-4351	378	40	(	(	PUNCT
ejpam-4351	378	41	nk	nk	PROPN
ejpam-4351	378	42	+	+	PROPN
ejpam-4351	378	43	ak	ak	PROPN
ejpam-4351	378	44	−	−	PROPN
ejpam-4351	378	45	1)×	1)×	NUM
ejpam-4351	378	46	auk−1	auk−1	PROPN
ejpam-4351	378	47	k	k	X
ejpam-4351	378	48	(	(	PUNCT
ejpam-4351	378	49	1−	1−	NUM
ejpam-4351	378	50	ak	ak	PROPN
ejpam-4351	378	51	)	)	PUNCT
ejpam-4351	378	52	vk−1dak	vk−1dak	PROPN
ejpam-4351	378	53	.	.	PUNCT
ejpam-4351	379	1	d.	d.	PROPN
ejpam-4351	379	2	a.	a.	PROPN
ejpam-4351	379	3	n.	n.	PROPN
ejpam-4351	379	4	njamen	njamen	PROPN
ejpam-4351	379	5	et	et	PROPN
ejpam-4351	379	6	al	al	PROPN
ejpam-4351	379	7	.	.	PUNCT
ejpam-4351	379	8	/	/	SYM
ejpam-4351	379	9	eur	eur	PROPN
ejpam-4351	379	10	.	.	PUNCT
ejpam-4351	380	1	j.	j.	PROPN
ejpam-4351	380	2	pure	pure	PROPN
ejpam-4351	380	3	appl	appl	PROPN
ejpam-4351	380	4	.	.	PROPN
ejpam-4351	380	5	math	math	PROPN
ejpam-4351	380	6	,	,	PUNCT
ejpam-4351	380	7	15	15	NUM
ejpam-4351	380	8	(	(	PUNCT
ejpam-4351	380	9	2	2	NUM
ejpam-4351	380	10	)	)	PUNCT
ejpam-4351	380	11	(	(	PUNCT
ejpam-4351	380	12	2022	2022	NUM
ejpam-4351	380	13	)	)	PUNCT
ejpam-4351	380	14	,	,	PUNCT
ejpam-4351	380	15	753	753	NUM
ejpam-4351	380	16	-	-	SYM
ejpam-4351	380	17	773	773	NUM
ejpam-4351	380	18	769	769	NUM
ejpam-4351	380	19	as	as	ADP
ejpam-4351	380	20	for	for	ADP
ejpam-4351	380	21	i	i	PROPN
ejpam-4351	380	22	and	and	CCONJ
ejpam-4351	380	23	i1	i1	PROPN
ejpam-4351	380	24	,	,	PUNCT
ejpam-4351	380	25	one	one	PRON
ejpam-4351	380	26	has	have	AUX
ejpam-4351	380	27	:	:	PUNCT
ejpam-4351	381	1	i2	i2	PROPN
ejpam-4351	381	2	=	=	SYM
ejpam-4351	381	3	∫	∫	PROPN
ejpam-4351	381	4	1	1	NUM
ejpam-4351	381	5	0	0	NUM
ejpam-4351	382	1	[	[	X
ejpam-4351	382	2	(	(	PUNCT
ejpam-4351	382	3	nk	nk	INTJ
ejpam-4351	382	4	−	−	PROPN
ejpam-4351	382	5	1	1	NUM
ejpam-4351	382	6	)	)	PUNCT
ejpam-4351	382	7	+	+	CCONJ
ejpam-4351	382	8	ak]×	ak]×	X
ejpam-4351	382	9	auk−1	auk−1	PRON
ejpam-4351	382	10	k	k	PROPN
ejpam-4351	382	11	(	(	PUNCT
ejpam-4351	382	12	1−	1−	NUM
ejpam-4351	382	13	ak	ak	PROPN
ejpam-4351	382	14	)	)	PUNCT
ejpam-4351	382	15	vk−1	vk−1	NOUN
ejpam-4351	382	16	=	=	PUNCT
ejpam-4351	382	17	[	[	PUNCT
ejpam-4351	382	18	(	(	PUNCT
ejpam-4351	382	19	nk	nk	INTJ
ejpam-4351	382	20	−	−	PROPN
ejpam-4351	382	21	1	1	NUM
ejpam-4351	382	22	)	)	PUNCT
ejpam-4351	382	23	+	+	CCONJ
ejpam-4351	382	24	uk	uk	PROPN
ejpam-4351	382	25	uk	uk	PROPN
ejpam-4351	382	26	+	+	CCONJ
ejpam-4351	382	27	vk	vk	X
ejpam-4351	382	28	]	]	PUNCT
ejpam-4351	382	29	b(uk	b(uk	NUM
ejpam-4351	382	30	,	,	PUNCT
ejpam-4351	382	31	vk	vk	NOUN
ejpam-4351	382	32	)	)	PUNCT
ejpam-4351	382	33	.	.	PUNCT
ejpam-4351	383	1	(	(	PUNCT
ejpam-4351	383	2	15	15	NUM
ejpam-4351	383	3	)	)	PUNCT
ejpam-4351	383	4	for	for	ADP
ejpam-4351	383	5	i	i	PRON
ejpam-4351	383	6	=	=	NOUN
ejpam-4351	383	7	2	2	NUM
ejpam-4351	383	8	,	,	PUNCT
ejpam-4351	383	9	under	under	ADP
ejpam-4351	383	10	the	the	DET
ejpam-4351	383	11	entropy	entropy	NOUN
ejpam-4351	383	12	loss	loss	NOUN
ejpam-4351	383	13	function	function	NOUN
ejpam-4351	383	14	for	for	ADP
ejpam-4351	383	15	p	p	NOUN
ejpam-4351	383	16	=	=	SYM
ejpam-4351	383	17	1	1	NUM
ejpam-4351	383	18	and	and	CCONJ
ejpam-4351	383	19	for	for	ADP
ejpam-4351	383	20	the	the	DET
ejpam-4351	383	21	prior	prior	ADJ
ejpam-4351	383	22	π2(ak	π2(ak	PROPN
ejpam-4351	383	23	,	,	PUNCT
ejpam-4351	383	24	bk	bk	PROPN
ejpam-4351	383	25	)	)	PUNCT
ejpam-4351	383	26	,	,	PUNCT
ejpam-4351	383	27	the	the	DET
ejpam-4351	383	28	e	e	NOUN
ejpam-4351	383	29	-	-	NOUN
ejpam-4351	383	30	bayesian	bayesian	ADJ
ejpam-4351	383	31	estimator	estimator	NOUN
ejpam-4351	383	32	of	of	ADP
ejpam-4351	383	33	βk	βk	NOUN
ejpam-4351	383	34	is	be	AUX
ejpam-4351	383	35	given	give	VERB
ejpam-4351	383	36	by	by	ADP
ejpam-4351	383	37	:	:	PUNCT
ejpam-4351	383	38	β̂k(ebe2	β̂k(ebe2	ADV
ejpam-4351	383	39	)	)	PUNCT
ejpam-4351	384	1	=	=	SYM
ejpam-4351	384	2	∫	∫	PROPN
ejpam-4351	384	3	1	1	NUM
ejpam-4351	384	4	0	0	NUM
ejpam-4351	384	5	∫	∫	PROPN
ejpam-4351	384	6	ck	ck	INTJ
ejpam-4351	384	7	0	0	X
ejpam-4351	385	1	β̂k(be)(ak	β̂k(be)(ak	NOUN
ejpam-4351	385	2	,	,	PUNCT
ejpam-4351	385	3	bk)π2(ak	bk)π2(ak	NOUN
ejpam-4351	385	4	,	,	PUNCT
ejpam-4351	385	5	bk)dbkdak	bk)dbkdak	NOUN
ejpam-4351	385	6	=	=	SYM
ejpam-4351	385	7	∫	∫	PROPN
ejpam-4351	386	1	1	1	NUM
ejpam-4351	386	2	0	0	NUM
ejpam-4351	386	3	∫	∫	PROPN
ejpam-4351	386	4	ck	ck	INTJ
ejpam-4351	386	5	0	0	NUM
ejpam-4351	386	6	nk	nk	PROPN
ejpam-4351	386	7	+	+	PROPN
ejpam-4351	386	8	ak	ak	PROPN
ejpam-4351	386	9	−	−	PROPN
ejpam-4351	386	10	1	1	NUM
ejpam-4351	386	11	bk	bk	VERB
ejpam-4351	386	12	+	+	NOUN
ejpam-4351	386	13	ak	ak	PROPN
ejpam-4351	386	14	αk	αk	CCONJ
ejpam-4351	386	15	×	×	PROPN
ejpam-4351	386	16	2	2	NUM
ejpam-4351	386	17	c2kb(uk	c2kb(uk	PROPN
ejpam-4351	386	18	,	,	PUNCT
ejpam-4351	386	19	vk	vk	PROPN
ejpam-4351	386	20	)	)	PUNCT
ejpam-4351	386	21	(	(	PUNCT
ejpam-4351	386	22	ck	ck	INTJ
ejpam-4351	386	23	−	−	PROPN
ejpam-4351	387	1	bk)a	bk)a	PROPN
ejpam-4351	387	2	uk−1	uk−1	PROPN
ejpam-4351	387	3	k	k	PROPN
ejpam-4351	387	4	(	(	PUNCT
ejpam-4351	387	5	1−	1−	NUM
ejpam-4351	387	6	ak	ak	PROPN
ejpam-4351	387	7	)	)	PUNCT
ejpam-4351	387	8	vk−1dbkdak	vk−1dbkdak	PROPN
ejpam-4351	387	9	=	=	SYM
ejpam-4351	388	1	∫	∫	PROPN
ejpam-4351	388	2	1	1	NUM
ejpam-4351	388	3	0	0	NUM
ejpam-4351	388	4	2(nk	2(nk	NOUN
ejpam-4351	388	5	+	+	CCONJ
ejpam-4351	388	6	ak	ak	PROPN
ejpam-4351	388	7	−	−	PROPN
ejpam-4351	388	8	1	1	NUM
ejpam-4351	388	9	)	)	PUNCT
ejpam-4351	388	10	c2kb(uk	c2kb(uk	PROPN
ejpam-4351	388	11	,	,	PUNCT
ejpam-4351	388	12	vk	vk	PROPN
ejpam-4351	388	13	)	)	PUNCT
ejpam-4351	388	14	×	×	NOUN
ejpam-4351	388	15	auk−1	auk−1	PROPN
ejpam-4351	388	16	k	k	X
ejpam-4351	388	17	(	(	PUNCT
ejpam-4351	388	18	1−	1−	NUM
ejpam-4351	388	19	ak	ak	PROPN
ejpam-4351	388	20	)	)	PUNCT
ejpam-4351	388	21	vk−1	vk−1	PROPN
ejpam-4351	388	22	(	(	PUNCT
ejpam-4351	388	23	∫	∫	PROPN
ejpam-4351	388	24	ck	ck	INTJ
ejpam-4351	388	25	0	0	NUM
ejpam-4351	389	1	ck	ck	NOUN
ejpam-4351	389	2	−	−	NOUN
ejpam-4351	390	1	bk	bk	INTJ
ejpam-4351	390	2	bk	bk	ADP
ejpam-4351	391	1	+	+	NOUN
ejpam-4351	391	2	ak	ak	PROPN
ejpam-4351	391	3	αk	αk	PROPN
ejpam-4351	391	4	dbk	dbk	PROPN
ejpam-4351	391	5	)	)	PUNCT
ejpam-4351	391	6	dak	dak	PROPN
ejpam-4351	391	7	=	=	SYM
ejpam-4351	391	8	∫	∫	PROPN
ejpam-4351	391	9	1	1	NUM
ejpam-4351	391	10	0	0	NUM
ejpam-4351	391	11	2(nk	2(nk	NOUN
ejpam-4351	391	12	+	+	CCONJ
ejpam-4351	391	13	ak	ak	PROPN
ejpam-4351	391	14	−	−	PROPN
ejpam-4351	391	15	1	1	NUM
ejpam-4351	391	16	)	)	PUNCT
ejpam-4351	391	17	c2kb(uk	c2kb(uk	PROPN
ejpam-4351	391	18	,	,	PUNCT
ejpam-4351	391	19	vk	vk	PROPN
ejpam-4351	391	20	)	)	PUNCT
ejpam-4351	391	21	×	×	NOUN
ejpam-4351	391	22	auk−1	auk−1	PROPN
ejpam-4351	391	23	k	k	X
ejpam-4351	391	24	(	(	PUNCT
ejpam-4351	391	25	1−	1−	NUM
ejpam-4351	391	26	ak	ak	PROPN
ejpam-4351	391	27	)	)	PUNCT
ejpam-4351	391	28	vk−1	vk−1	PROPN
ejpam-4351	391	29	[	[	PUNCT
ejpam-4351	391	30	−bk	−bk	X
ejpam-4351	391	31	+	+	CCONJ
ejpam-4351	391	32	(	(	PUNCT
ejpam-4351	391	33	ck	ck	INTJ
ejpam-4351	391	34	+	+	NUM
ejpam-4351	391	35	ak	ak	PROPN
ejpam-4351	391	36	αk	αk	NOUN
ejpam-4351	391	37	)	)	PUNCT
ejpam-4351	392	1	ln	ln	NOUN
ejpam-4351	392	2	(	(	PUNCT
ejpam-4351	392	3	bk	bk	NOUN
ejpam-4351	392	4	+	+	NOUN
ejpam-4351	392	5	ak	ak	PROPN
ejpam-4351	392	6	αk	αk	NOUN
ejpam-4351	392	7	)	)	PUNCT
ejpam-4351	393	1	]	]	X
ejpam-4351	393	2	ck	ck	PROPN
ejpam-4351	393	3	0	0	NUM
ejpam-4351	393	4	dak	dak	PROPN
ejpam-4351	393	5	=	=	SYM
ejpam-4351	393	6	∫	∫	PROPN
ejpam-4351	393	7	1	1	NUM
ejpam-4351	393	8	0	0	NUM
ejpam-4351	393	9	2(nk	2(nk	NOUN
ejpam-4351	394	1	+	+	CCONJ
ejpam-4351	394	2	ak	ak	PROPN
ejpam-4351	394	3	−	−	PROPN
ejpam-4351	394	4	1	1	NUM
ejpam-4351	394	5	)	)	PUNCT
ejpam-4351	394	6	c2kb(uk	c2kb(uk	PROPN
ejpam-4351	394	7	,	,	PUNCT
ejpam-4351	394	8	vk	vk	PROPN
ejpam-4351	394	9	)	)	PUNCT
ejpam-4351	394	10	×	×	NOUN
ejpam-4351	394	11	auk−1	auk−1	PROPN
ejpam-4351	394	12	k	k	X
ejpam-4351	394	13	(	(	PUNCT
ejpam-4351	394	14	1−	1−	NUM
ejpam-4351	394	15	ak	ak	PROPN
ejpam-4351	394	16	)	)	PUNCT
ejpam-4351	394	17	vk−1	vk−1	PROPN
ejpam-4351	394	18	[	[	PUNCT
ejpam-4351	394	19	−ck	−ck	NOUN
ejpam-4351	395	1	+	+	CCONJ
ejpam-4351	395	2	(	(	PUNCT
ejpam-4351	395	3	ck	ck	INTJ
ejpam-4351	395	4	+	+	NUM
ejpam-4351	395	5	ak	ak	PROPN
ejpam-4351	395	6	αk	αk	NOUN
ejpam-4351	395	7	)	)	PUNCT
ejpam-4351	395	8	ln	ln	NOUN
ejpam-4351	395	9	(	(	PUNCT
ejpam-4351	395	10	1	1	NUM
ejpam-4351	395	11	+	+	CCONJ
ejpam-4351	395	12	ck	ck	PROPN
ejpam-4351	395	13	ak	ak	PROPN
ejpam-4351	395	14	αk	αk	NOUN
ejpam-4351	395	15	)	)	PUNCT
ejpam-4351	395	16	]	]	PUNCT
ejpam-4351	396	1	dak	dak	PROPN
ejpam-4351	396	2	=	=	SYM
ejpam-4351	396	3	2	2	PROPN
ejpam-4351	396	4	[	[	PUNCT
ejpam-4351	396	5	−ck	−ck	NOUN
ejpam-4351	396	6	+	+	CCONJ
ejpam-4351	396	7	(	(	PUNCT
ejpam-4351	396	8	ck	ck	INTJ
ejpam-4351	396	9	+	+	NUM
ejpam-4351	396	10	ak	ak	PROPN
ejpam-4351	396	11	αk	αk	NOUN
ejpam-4351	396	12	)	)	PUNCT
ejpam-4351	396	13	ln	ln	NOUN
ejpam-4351	396	14	(	(	PUNCT
ejpam-4351	396	15	1	1	NUM
ejpam-4351	396	16	+	+	CCONJ
ejpam-4351	396	17	ck	ck	PROPN
ejpam-4351	396	18	ak	ak	PROPN
ejpam-4351	396	19	αk	αk	NOUN
ejpam-4351	396	20	)	)	PUNCT
ejpam-4351	396	21	]	]	PUNCT
ejpam-4351	397	1	c2kb(uk	c2kb(uk	PROPN
ejpam-4351	397	2	,	,	PUNCT
ejpam-4351	397	3	vk	vk	PROPN
ejpam-4351	397	4	)	)	PUNCT
ejpam-4351	397	5	∫	∫	PROPN
ejpam-4351	397	6	1	1	NUM
ejpam-4351	397	7	0	0	NUM
ejpam-4351	397	8	(	(	PUNCT
ejpam-4351	397	9	nk	nk	PROPN
ejpam-4351	397	10	+	+	PROPN
ejpam-4351	397	11	ak	ak	PROPN
ejpam-4351	397	12	−	−	PROPN
ejpam-4351	397	13	1)auk−1	1)auk−1	NUM
ejpam-4351	397	14	k	k	X
ejpam-4351	397	15	(	(	PUNCT
ejpam-4351	397	16	1−	1−	NUM
ejpam-4351	397	17	ak	ak	PROPN
ejpam-4351	397	18	)	)	PUNCT
ejpam-4351	397	19	vk−1dak	vk−1dak	PROPN
ejpam-4351	397	20	=	=	SYM
ejpam-4351	397	21	2	2	NUM
ejpam-4351	397	22	[	[	PUNCT
ejpam-4351	397	23	−ck	−ck	NOUN
ejpam-4351	397	24	+	+	CCONJ
ejpam-4351	397	25	(	(	PUNCT
ejpam-4351	397	26	ck	ck	INTJ
ejpam-4351	397	27	+	+	NUM
ejpam-4351	397	28	ak	ak	PROPN
ejpam-4351	397	29	αk	αk	NOUN
ejpam-4351	397	30	)	)	PUNCT
ejpam-4351	397	31	ln	ln	NOUN
ejpam-4351	397	32	(	(	PUNCT
ejpam-4351	397	33	1	1	NUM
ejpam-4351	397	34	+	+	CCONJ
ejpam-4351	397	35	ck	ck	PROPN
ejpam-4351	397	36	ak	ak	PROPN
ejpam-4351	397	37	αk	αk	NOUN
ejpam-4351	397	38	)	)	PUNCT
ejpam-4351	397	39	]	]	PUNCT
ejpam-4351	398	1	c2kb(uk	c2kb(uk	PROPN
ejpam-4351	398	2	,	,	PUNCT
ejpam-4351	398	3	vk	vk	PROPN
ejpam-4351	398	4	)	)	PUNCT
ejpam-4351	398	5	×	×	PROPN
ejpam-4351	398	6	i2	i2	NOUN
ejpam-4351	398	7	by	by	ADP
ejpam-4351	398	8	replacing	replace	VERB
ejpam-4351	398	9	i2	i2	PROPN
ejpam-4351	398	10	in	in	ADP
ejpam-4351	398	11	the	the	DET
ejpam-4351	398	12	expression	expression	NOUN
ejpam-4351	398	13	for	for	ADP
ejpam-4351	398	14	β̂k(ebe2	β̂k(ebe2	NOUN
ejpam-4351	398	15	)	)	PUNCT
ejpam-4351	398	16	above	above	ADV
ejpam-4351	398	17	,	,	PUNCT
ejpam-4351	398	18	we	we	PRON
ejpam-4351	398	19	have	have	VERB
ejpam-4351	398	20	:	:	PUNCT
ejpam-4351	398	21	β̂k(ebe2	β̂k(ebe2	ADV
ejpam-4351	398	22	)	)	PUNCT
ejpam-4351	398	23	=	=	SYM
ejpam-4351	399	1	2	2	X
ejpam-4351	399	2	[	[	PUNCT
ejpam-4351	399	3	−ck	−ck	NOUN
ejpam-4351	400	1	+	+	CCONJ
ejpam-4351	400	2	(	(	PUNCT
ejpam-4351	400	3	ck	ck	INTJ
ejpam-4351	400	4	+	+	NUM
ejpam-4351	400	5	ak	ak	PROPN
ejpam-4351	400	6	αk	αk	NOUN
ejpam-4351	400	7	)	)	PUNCT
ejpam-4351	400	8	ln	ln	NOUN
ejpam-4351	400	9	(	(	PUNCT
ejpam-4351	400	10	1	1	NUM
ejpam-4351	400	11	+	+	CCONJ
ejpam-4351	400	12	ck	ck	PROPN
ejpam-4351	400	13	ak	ak	PROPN
ejpam-4351	400	14	αk	αk	NOUN
ejpam-4351	400	15	)	)	PUNCT
ejpam-4351	400	16	]	]	PUNCT
ejpam-4351	401	1	c2kb(uk	c2kb(uk	PROPN
ejpam-4351	401	2	,	,	PUNCT
ejpam-4351	401	3	vk	vk	PROPN
ejpam-4351	401	4	)	)	PUNCT
ejpam-4351	401	5	×	×	NOUN
ejpam-4351	401	6	[	[	PUNCT
ejpam-4351	401	7	(	(	PUNCT
ejpam-4351	401	8	nk	nk	INTJ
ejpam-4351	401	9	−	−	PROPN
ejpam-4351	401	10	1	1	NUM
ejpam-4351	401	11	)	)	PUNCT
ejpam-4351	401	12	+	+	CCONJ
ejpam-4351	401	13	uk	uk	PROPN
ejpam-4351	401	14	uk	uk	PROPN
ejpam-4351	401	15	+	+	CCONJ
ejpam-4351	401	16	vk	vk	X
ejpam-4351	401	17	]	]	PUNCT
ejpam-4351	401	18	b(uk	b(uk	NUM
ejpam-4351	401	19	,	,	PUNCT
ejpam-4351	401	20	vk	vk	X
ejpam-4351	401	21	)	)	PUNCT
ejpam-4351	401	22	=	=	SYM
ejpam-4351	401	23	2	2	NUM
ejpam-4351	401	24	[	[	PUNCT
ejpam-4351	401	25	−ck	−ck	NOUN
ejpam-4351	401	26	+	+	CCONJ
ejpam-4351	401	27	(	(	PUNCT
ejpam-4351	401	28	ck	ck	INTJ
ejpam-4351	401	29	+	+	NUM
ejpam-4351	401	30	ak	ak	PROPN
ejpam-4351	401	31	αk	αk	NOUN
ejpam-4351	401	32	)	)	PUNCT
ejpam-4351	401	33	ln	ln	NOUN
ejpam-4351	401	34	(	(	PUNCT
ejpam-4351	401	35	1	1	NUM
ejpam-4351	401	36	+	+	CCONJ
ejpam-4351	401	37	ck	ck	PROPN
ejpam-4351	401	38	ak	ak	PROPN
ejpam-4351	401	39	αk	αk	NOUN
ejpam-4351	401	40	)	)	PUNCT
ejpam-4351	401	41	]	]	PUNCT
ejpam-4351	402	1	c2k	c2k	X
ejpam-4351	402	2	×	×	NOUN
ejpam-4351	402	3	[	[	PUNCT
ejpam-4351	402	4	(	(	PUNCT
ejpam-4351	402	5	nk	nk	INTJ
ejpam-4351	402	6	−	−	PROPN
ejpam-4351	402	7	1	1	NUM
ejpam-4351	402	8	)	)	PUNCT
ejpam-4351	402	9	+	+	CCONJ
ejpam-4351	402	10	uk	uk	PROPN
ejpam-4351	402	11	uk	uk	PROPN
ejpam-4351	402	12	+	+	CCONJ
ejpam-4351	402	13	vk	vk	X
ejpam-4351	402	14	]	]	PUNCT
ejpam-4351	402	15	.	.	PUNCT
ejpam-4351	403	1	for	for	ADP
ejpam-4351	403	2	i	i	PRON
ejpam-4351	403	3	=	=	NOUN
ejpam-4351	403	4	3	3	NUM
ejpam-4351	403	5	,	,	PUNCT
ejpam-4351	403	6	under	under	ADP
ejpam-4351	403	7	the	the	DET
ejpam-4351	403	8	entropy	entropy	NOUN
ejpam-4351	403	9	loss	loss	NOUN
ejpam-4351	403	10	function	function	NOUN
ejpam-4351	403	11	for	for	ADP
ejpam-4351	403	12	i	i	PROPN
ejpam-4351	403	13	=	=	SYM
ejpam-4351	403	14	3	3	NUM
ejpam-4351	403	15	and	and	CCONJ
ejpam-4351	403	16	for	for	ADP
ejpam-4351	403	17	the	the	DET
ejpam-4351	403	18	prior	prior	ADJ
ejpam-4351	403	19	π3(ak	π3(ak	PROPN
ejpam-4351	403	20	,	,	PUNCT
ejpam-4351	403	21	bk	bk	PROPN
ejpam-4351	403	22	)	)	PUNCT
ejpam-4351	403	23	,	,	PUNCT
ejpam-4351	403	24	the	the	DET
ejpam-4351	403	25	e	e	NOUN
ejpam-4351	403	26	-	-	NOUN
ejpam-4351	403	27	bayesian	bayesian	ADJ
ejpam-4351	403	28	estimator	estimator	NOUN
ejpam-4351	403	29	of	of	ADP
ejpam-4351	403	30	βk	βk	NOUN
ejpam-4351	403	31	is	be	AUX
ejpam-4351	403	32	given	give	VERB
ejpam-4351	403	33	by	by	ADP
ejpam-4351	403	34	:	:	PUNCT
ejpam-4351	403	35	β̂k(ebe3	β̂k(ebe3	NUM
ejpam-4351	403	36	)	)	PUNCT
ejpam-4351	403	37	=	=	SYM
ejpam-4351	404	1	∫	∫	PROPN
ejpam-4351	405	1	1	1	NUM
ejpam-4351	405	2	0	0	NUM
ejpam-4351	405	3	∫	∫	PROPN
ejpam-4351	405	4	ck	ck	INTJ
ejpam-4351	405	5	0	0	X
ejpam-4351	405	6	β̂k(be)(ak	β̂k(be)(ak	PROPN
ejpam-4351	405	7	,	,	PUNCT
ejpam-4351	405	8	bk)π3(ak	bk)π3(ak	NUM
ejpam-4351	405	9	,	,	PUNCT
ejpam-4351	405	10	bk)dbkdak	bk)dbkdak	PROPN
ejpam-4351	405	11	d.	d.	PROPN
ejpam-4351	405	12	a.	a.	PROPN
ejpam-4351	405	13	n.	n.	PROPN
ejpam-4351	405	14	njamen	njamen	PROPN
ejpam-4351	406	1	et	et	PROPN
ejpam-4351	406	2	al	al	PROPN
ejpam-4351	406	3	.	.	PUNCT
ejpam-4351	406	4	/	/	SYM
ejpam-4351	406	5	eur	eur	PROPN
ejpam-4351	406	6	.	.	PUNCT
ejpam-4351	407	1	j.	j.	PROPN
ejpam-4351	407	2	pure	pure	PROPN
ejpam-4351	407	3	appl	appl	PROPN
ejpam-4351	407	4	.	.	PROPN
ejpam-4351	407	5	math	math	PROPN
ejpam-4351	407	6	,	,	PUNCT
ejpam-4351	407	7	15	15	NUM
ejpam-4351	407	8	(	(	PUNCT
ejpam-4351	407	9	2	2	NUM
ejpam-4351	407	10	)	)	PUNCT
ejpam-4351	407	11	(	(	PUNCT
ejpam-4351	407	12	2022	2022	NUM
ejpam-4351	407	13	)	)	PUNCT
ejpam-4351	407	14	,	,	PUNCT
ejpam-4351	407	15	753	753	NUM
ejpam-4351	407	16	-	-	SYM
ejpam-4351	407	17	773	773	NUM
ejpam-4351	407	18	770	770	NUM
ejpam-4351	407	19	=	=	SYM
ejpam-4351	407	20	∫	∫	PROPN
ejpam-4351	407	21	1	1	NUM
ejpam-4351	407	22	0	0	NUM
ejpam-4351	407	23	∫	∫	PROPN
ejpam-4351	407	24	ck	ck	INTJ
ejpam-4351	407	25	0	0	NUM
ejpam-4351	408	1	nk	nk	PROPN
ejpam-4351	408	2	+	+	PROPN
ejpam-4351	408	3	ak	ak	PROPN
ejpam-4351	408	4	−	−	PROPN
ejpam-4351	408	5	1	1	NUM
ejpam-4351	408	6	bk	bk	VERB
ejpam-4351	408	7	+	+	NOUN
ejpam-4351	408	8	ak	ak	PROPN
ejpam-4351	408	9	αk	αk	CCONJ
ejpam-4351	408	10	×	×	PROPN
ejpam-4351	408	11	2	2	NUM
ejpam-4351	408	12	c2kb(uk	c2kb(uk	PROPN
ejpam-4351	408	13	,	,	PUNCT
ejpam-4351	408	14	vk	vk	PROPN
ejpam-4351	408	15	)	)	PUNCT
ejpam-4351	408	16	×	×	NOUN
ejpam-4351	408	17	(	(	PUNCT
ejpam-4351	408	18	bk)a	bk)a	PROPN
ejpam-4351	408	19	uk−1	uk−1	PROPN
ejpam-4351	408	20	k	k	PROPN
ejpam-4351	408	21	(	(	PUNCT
ejpam-4351	408	22	1−	1−	NUM
ejpam-4351	408	23	ak	ak	PROPN
ejpam-4351	408	24	)	)	PUNCT
ejpam-4351	408	25	vk−1dbkdak	vk−1dbkdak	PROPN
ejpam-4351	409	1	=	=	SYM
ejpam-4351	410	1	∫	∫	PROPN
ejpam-4351	411	1	1	1	NUM
ejpam-4351	411	2	0	0	NUM
ejpam-4351	411	3	2(nk	2(nk	NOUN
ejpam-4351	411	4	+	+	CCONJ
ejpam-4351	411	5	ak	ak	PROPN
ejpam-4351	411	6	−	−	PROPN
ejpam-4351	411	7	1	1	NUM
ejpam-4351	411	8	)	)	PUNCT
ejpam-4351	411	9	c2kb(uk	c2kb(uk	PROPN
ejpam-4351	411	10	,	,	PUNCT
ejpam-4351	411	11	vk	vk	PROPN
ejpam-4351	411	12	)	)	PUNCT
ejpam-4351	411	13	×	×	NOUN
ejpam-4351	411	14	auk−1	auk−1	PROPN
ejpam-4351	411	15	k	k	X
ejpam-4351	411	16	(	(	PUNCT
ejpam-4351	411	17	1−	1−	NUM
ejpam-4351	411	18	ak	ak	PROPN
ejpam-4351	411	19	)	)	PUNCT
ejpam-4351	411	20	vk−1	vk−1	PROPN
ejpam-4351	411	21	×	×	NOUN
ejpam-4351	411	22	(	(	PUNCT
ejpam-4351	411	23	∫	∫	PROPN
ejpam-4351	411	24	ck	ck	INTJ
ejpam-4351	411	25	0	0	PUNCT
ejpam-4351	411	26	bk	bk	NOUN
ejpam-4351	411	27	bk	bk	ADP
ejpam-4351	412	1	+	+	NOUN
ejpam-4351	412	2	ak	ak	PROPN
ejpam-4351	412	3	αk	αk	PROPN
ejpam-4351	412	4	dbk	dbk	PROPN
ejpam-4351	412	5	)	)	PUNCT
ejpam-4351	412	6	dak	dak	PROPN
ejpam-4351	412	7	=	=	SYM
ejpam-4351	412	8	∫	∫	PROPN
ejpam-4351	412	9	1	1	NUM
ejpam-4351	412	10	0	0	NUM
ejpam-4351	412	11	2(nk	2(nk	NOUN
ejpam-4351	412	12	+	+	CCONJ
ejpam-4351	412	13	ak	ak	PROPN
ejpam-4351	412	14	−	−	PROPN
ejpam-4351	412	15	1	1	NUM
ejpam-4351	412	16	)	)	PUNCT
ejpam-4351	412	17	c2kb(uk	c2kb(uk	PROPN
ejpam-4351	412	18	,	,	PUNCT
ejpam-4351	412	19	vk	vk	PROPN
ejpam-4351	412	20	)	)	PUNCT
ejpam-4351	412	21	×	×	NOUN
ejpam-4351	412	22	auk−1	auk−1	PROPN
ejpam-4351	412	23	k	k	X
ejpam-4351	412	24	(	(	PUNCT
ejpam-4351	412	25	1−	1−	NUM
ejpam-4351	412	26	ak	ak	PROPN
ejpam-4351	412	27	)	)	PUNCT
ejpam-4351	412	28	vk−1	vk−1	PROPN
ejpam-4351	412	29	×	×	NOUN
ejpam-4351	412	30	[	[	PUNCT
ejpam-4351	412	31	bk	bk	NOUN
ejpam-4351	412	32	−	−	PROPN
ejpam-4351	413	1	(	(	PUNCT
ejpam-4351	413	2	ak	ak	INTJ
ejpam-4351	413	3	αk	αk	INTJ
ejpam-4351	413	4	)	)	PUNCT
ejpam-4351	413	5	ln	ln	NOUN
ejpam-4351	413	6	(	(	PUNCT
ejpam-4351	413	7	bk	bk	NOUN
ejpam-4351	413	8	+	+	NOUN
ejpam-4351	413	9	ak	ak	PROPN
ejpam-4351	413	10	αk	αk	NOUN
ejpam-4351	413	11	)	)	PUNCT
ejpam-4351	414	1	]	]	X
ejpam-4351	414	2	ck	ck	PROPN
ejpam-4351	414	3	0	0	NUM
ejpam-4351	414	4	dak	dak	PROPN
ejpam-4351	414	5	=	=	SYM
ejpam-4351	414	6	∫	∫	PROPN
ejpam-4351	414	7	1	1	NUM
ejpam-4351	414	8	0	0	NUM
ejpam-4351	414	9	2(nk	2(nk	NOUN
ejpam-4351	415	1	+	+	CCONJ
ejpam-4351	415	2	ak	ak	PROPN
ejpam-4351	415	3	−	−	PROPN
ejpam-4351	415	4	1	1	NUM
ejpam-4351	415	5	)	)	PUNCT
ejpam-4351	415	6	c2kb(uk	c2kb(uk	PROPN
ejpam-4351	415	7	,	,	PUNCT
ejpam-4351	415	8	vk	vk	PROPN
ejpam-4351	415	9	)	)	PUNCT
ejpam-4351	415	10	×	×	NOUN
ejpam-4351	415	11	auk−1	auk−1	PROPN
ejpam-4351	415	12	k	k	X
ejpam-4351	415	13	(	(	PUNCT
ejpam-4351	415	14	1−	1−	NUM
ejpam-4351	415	15	ak	ak	PROPN
ejpam-4351	415	16	)	)	PUNCT
ejpam-4351	415	17	vk−1	vk−1	PROPN
ejpam-4351	415	18	×	×	NOUN
ejpam-4351	415	19	[	[	PUNCT
ejpam-4351	415	20	ck	ck	INTJ
ejpam-4351	415	21	−	−	PROPN
ejpam-4351	415	22	(	(	PUNCT
ejpam-4351	415	23	ak	ak	INTJ
ejpam-4351	415	24	αk	αk	INTJ
ejpam-4351	415	25	)	)	PUNCT
ejpam-4351	415	26	ln	ln	NOUN
ejpam-4351	415	27	(	(	PUNCT
ejpam-4351	415	28	1	1	NUM
ejpam-4351	415	29	+	+	CCONJ
ejpam-4351	415	30	ck	ck	PROPN
ejpam-4351	415	31	ak	ak	PROPN
ejpam-4351	415	32	αk	αk	NOUN
ejpam-4351	415	33	)	)	PUNCT
ejpam-4351	415	34	]	]	PUNCT
ejpam-4351	416	1	dak	dak	PROPN
ejpam-4351	416	2	=	=	SYM
ejpam-4351	416	3	2	2	NUM
ejpam-4351	416	4	c2kb(uk	c2kb(uk	PROPN
ejpam-4351	416	5	,	,	PUNCT
ejpam-4351	416	6	vk	vk	PROPN
ejpam-4351	416	7	)	)	PUNCT
ejpam-4351	416	8	[	[	PUNCT
ejpam-4351	416	9	ck	ck	INTJ
ejpam-4351	416	10	−	−	PROPN
ejpam-4351	417	1	(	(	PUNCT
ejpam-4351	417	2	ak	ak	INTJ
ejpam-4351	417	3	αk	αk	INTJ
ejpam-4351	417	4	)	)	PUNCT
ejpam-4351	417	5	ln	ln	NOUN
ejpam-4351	417	6	(	(	PUNCT
ejpam-4351	417	7	1	1	NUM
ejpam-4351	417	8	+	+	CCONJ
ejpam-4351	417	9	ck	ck	PROPN
ejpam-4351	417	10	ak	ak	PROPN
ejpam-4351	417	11	αk	αk	NOUN
ejpam-4351	417	12	)	)	PUNCT
ejpam-4351	417	13	]	]	X
ejpam-4351	417	14	∫	∫	PROPN
ejpam-4351	417	15	1	1	NUM
ejpam-4351	417	16	0	0	NUM
ejpam-4351	418	1	(	(	PUNCT
ejpam-4351	418	2	nk	nk	PROPN
ejpam-4351	418	3	+	+	PROPN
ejpam-4351	418	4	ak	ak	PROPN
ejpam-4351	418	5	−	−	PROPN
ejpam-4351	418	6	1)auk−1	1)auk−1	NUM
ejpam-4351	418	7	k	k	X
ejpam-4351	418	8	(	(	PUNCT
ejpam-4351	418	9	1−	1−	NUM
ejpam-4351	418	10	ak	ak	PROPN
ejpam-4351	418	11	)	)	PUNCT
ejpam-4351	418	12	vk−1dak	vk−1dak	PROPN
ejpam-4351	418	13	=	=	SYM
ejpam-4351	418	14	2	2	NUM
ejpam-4351	418	15	c2kb(uk	c2kb(uk	PROPN
ejpam-4351	418	16	,	,	PUNCT
ejpam-4351	418	17	vk	vk	PROPN
ejpam-4351	418	18	)	)	PUNCT
ejpam-4351	418	19	[	[	PUNCT
ejpam-4351	418	20	ck	ck	INTJ
ejpam-4351	418	21	−	−	PROPN
ejpam-4351	418	22	(	(	PUNCT
ejpam-4351	418	23	ak	ak	INTJ
ejpam-4351	418	24	αk	αk	INTJ
ejpam-4351	418	25	)	)	PUNCT
ejpam-4351	419	1	ln	ln	NOUN
ejpam-4351	419	2	(	(	PUNCT
ejpam-4351	419	3	1	1	NUM
ejpam-4351	419	4	+	+	CCONJ
ejpam-4351	419	5	ck	ck	PROPN
ejpam-4351	419	6	ak	ak	PROPN
ejpam-4351	419	7	αk	αk	NOUN
ejpam-4351	419	8	)	)	PUNCT
ejpam-4351	419	9	]	]	PUNCT
ejpam-4351	419	10	×	×	PROPN
ejpam-4351	419	11	i2	i2	PROPN
ejpam-4351	419	12	=	=	PROPN
ejpam-4351	419	13	2	2	NUM
ejpam-4351	419	14	c2kb(uk	c2kb(uk	PROPN
ejpam-4351	419	15	,	,	PUNCT
ejpam-4351	419	16	vk	vk	PROPN
ejpam-4351	419	17	)	)	PUNCT
ejpam-4351	419	18	[	[	PUNCT
ejpam-4351	419	19	ck	ck	INTJ
ejpam-4351	419	20	−	−	PROPN
ejpam-4351	419	21	(	(	PUNCT
ejpam-4351	419	22	ak	ak	INTJ
ejpam-4351	419	23	αk	αk	INTJ
ejpam-4351	419	24	)	)	PUNCT
ejpam-4351	419	25	ln	ln	NOUN
ejpam-4351	419	26	(	(	PUNCT
ejpam-4351	419	27	1	1	NUM
ejpam-4351	419	28	+	+	CCONJ
ejpam-4351	419	29	ck	ck	PROPN
ejpam-4351	419	30	ak	ak	PROPN
ejpam-4351	419	31	αk	αk	NOUN
ejpam-4351	419	32	)	)	PUNCT
ejpam-4351	419	33	]	]	PUNCT
ejpam-4351	420	1	×b(uk	×b(uk	NOUN
ejpam-4351	420	2	,	,	PUNCT
ejpam-4351	420	3	vk	vk	PROPN
ejpam-4351	420	4	)	)	PUNCT
ejpam-4351	420	5	[	[	PUNCT
ejpam-4351	420	6	(	(	PUNCT
ejpam-4351	420	7	nk	nk	INTJ
ejpam-4351	420	8	−	−	PROPN
ejpam-4351	420	9	1	1	NUM
ejpam-4351	420	10	)	)	PUNCT
ejpam-4351	420	11	+	+	CCONJ
ejpam-4351	420	12	vk	vk	VERB
ejpam-4351	420	13	uk	uk	PROPN
ejpam-4351	420	14	+	+	CCONJ
ejpam-4351	420	15	vk	vk	X
ejpam-4351	420	16	]	]	PUNCT
ejpam-4351	420	17	=	=	SYM
ejpam-4351	420	18	2	2	NUM
ejpam-4351	420	19	c−2	c−2	NOUN
ejpam-4351	420	20	k	k	PROPN
ejpam-4351	420	21	[	[	PUNCT
ejpam-4351	420	22	ck	ck	INTJ
ejpam-4351	420	23	−	−	PROPN
ejpam-4351	420	24	(	(	PUNCT
ejpam-4351	420	25	ak	ak	INTJ
ejpam-4351	420	26	αk	αk	INTJ
ejpam-4351	420	27	)	)	PUNCT
ejpam-4351	420	28	ln	ln	NOUN
ejpam-4351	420	29	(	(	PUNCT
ejpam-4351	420	30	1	1	NUM
ejpam-4351	420	31	+	+	CCONJ
ejpam-4351	420	32	ck	ck	PROPN
ejpam-4351	420	33	ak	ak	PROPN
ejpam-4351	420	34	αk	αk	NOUN
ejpam-4351	420	35	)	)	PUNCT
ejpam-4351	420	36	]	]	PUNCT
ejpam-4351	421	1	×	×	NOUN
ejpam-4351	421	2	[	[	PUNCT
ejpam-4351	421	3	(	(	PUNCT
ejpam-4351	421	4	nk	nk	INTJ
ejpam-4351	421	5	−	−	PROPN
ejpam-4351	421	6	1	1	NUM
ejpam-4351	421	7	)	)	PUNCT
ejpam-4351	421	8	+	+	CCONJ
ejpam-4351	421	9	vk	vk	VERB
ejpam-4351	421	10	uk	uk	PROPN
ejpam-4351	421	11	+	+	CCONJ
ejpam-4351	421	12	vk	vk	X
ejpam-4351	421	13	]	]	PUNCT
ejpam-4351	421	14	.	.	PUNCT
ejpam-4351	422	1	this	this	DET
ejpam-4351	422	2	expression	expression	NOUN
ejpam-4351	422	3	gives	give	VERB
ejpam-4351	422	4	the	the	DET
ejpam-4351	422	5	e	e	NOUN
ejpam-4351	422	6	-	-	NOUN
ejpam-4351	422	7	bayesian	bayesian	ADJ
ejpam-4351	422	8	estimator	estimator	NOUN
ejpam-4351	422	9	of	of	ADP
ejpam-4351	422	10	βk	βk	NOUN
ejpam-4351	422	11	for	for	ADP
ejpam-4351	422	12	the	the	DET
ejpam-4351	422	13	a	a	PRON
ejpam-4351	422	14	-	-	PUNCT
ejpam-4351	422	15	priori	priori	ADJ
ejpam-4351	422	16	distribution	distribution	NOUN
ejpam-4351	422	17	of	of	ADP
ejpam-4351	422	18	the	the	DET
ejpam-4351	422	19	density	density	NOUN
ejpam-4351	422	20	π3(ak	π3(ak	PROPN
ejpam-4351	422	21	,	,	PUNCT
ejpam-4351	422	22	bk	bk	PROPN
ejpam-4351	422	23	)	)	PUNCT
ejpam-4351	422	24	of	of	ADP
ejpam-4351	422	25	the	the	DET
ejpam-4351	422	26	hyper	hyper	NOUN
ejpam-4351	422	27	-	-	NOUN
ejpam-4351	422	28	parameters	parameter	NOUN
ejpam-4351	422	29	ak	ak	PROPN
ejpam-4351	422	30	and	and	CCONJ
ejpam-4351	422	31	bk	bk	VERB
ejpam-4351	422	32	under	under	ADP
ejpam-4351	422	33	this	this	DET
ejpam-4351	422	34	loss	loss	NOUN
ejpam-4351	422	35	function	function	NOUN
ejpam-4351	422	36	.	.	PUNCT
ejpam-4351	423	1	7	7	X
ejpam-4351	423	2	.	.	X
ejpam-4351	423	3	conclusion	conclusion	NOUN
ejpam-4351	423	4	and	and	CCONJ
ejpam-4351	423	5	perspectives	perspective	NOUN
ejpam-4351	423	6	in	in	ADP
ejpam-4351	423	7	this	this	DET
ejpam-4351	423	8	paper	paper	NOUN
ejpam-4351	423	9	,	,	PUNCT
ejpam-4351	423	10	we	we	PRON
ejpam-4351	423	11	have	have	AUX
ejpam-4351	423	12	studied	study	VERB
ejpam-4351	423	13	the	the	DET
ejpam-4351	423	14	e	e	NOUN
ejpam-4351	423	15	-	-	NOUN
ejpam-4351	423	16	bayesian	bayesian	ADJ
ejpam-4351	423	17	estimation	estimation	NOUN
ejpam-4351	423	18	of	of	ADP
ejpam-4351	423	19	the	the	DET
ejpam-4351	423	20	scaling	scale	VERB
ejpam-4351	423	21	parameter	parameter	NOUN
ejpam-4351	423	22	in	in	ADP
ejpam-4351	423	23	the	the	DET
ejpam-4351	423	24	context	context	NOUN
ejpam-4351	423	25	of	of	ADP
ejpam-4351	423	26	competing	compete	VERB
ejpam-4351	423	27	risks	risk	NOUN
ejpam-4351	423	28	of	of	ADP
ejpam-4351	423	29	the	the	DET
ejpam-4351	423	30	gompertz	gompertz	NOUN
ejpam-4351	423	31	distribution	distribution	NOUN
ejpam-4351	423	32	under	under	ADP
ejpam-4351	423	33	several	several	ADJ
ejpam-4351	423	34	loss	loss	NOUN
ejpam-4351	423	35	functions	function	NOUN
ejpam-4351	423	36	.	.	PUNCT
ejpam-4351	424	1	under	under	ADP
ejpam-4351	424	2	progressive	progressive	ADJ
ejpam-4351	424	3	type	type	NOUN
ejpam-4351	424	4	i	i	PRON
ejpam-4351	424	5	censoring	censor	VERB
ejpam-4351	424	6	,	,	PUNCT
ejpam-4351	424	7	we	we	PRON
ejpam-4351	424	8	have	have	AUX
ejpam-4351	424	9	determined	determine	VERB
ejpam-4351	424	10	the	the	DET
ejpam-4351	424	11	new	new	ADJ
ejpam-4351	424	12	estimators	estimator	NOUN
ejpam-4351	424	13	which	which	PRON
ejpam-4351	424	14	generalize	generalize	VERB
ejpam-4351	424	15	not	not	PART
ejpam-4351	424	16	only	only	ADV
ejpam-4351	424	17	the	the	DET
ejpam-4351	424	18	generalized	generalized	ADJ
ejpam-4351	424	19	quadratic	quadratic	ADJ
ejpam-4351	424	20	loss	loss	NOUN
ejpam-4351	424	21	function	function	NOUN
ejpam-4351	424	22	estimators	estimator	NOUN
ejpam-4351	424	23	proposed	propose	VERB
ejpam-4351	424	24	by	by	ADP
ejpam-4351	424	25	[	[	X
ejpam-4351	424	26	32	32	NUM
ejpam-4351	424	27	]	]	PUNCT
ejpam-4351	424	28	but	but	CCONJ
ejpam-4351	424	29	also	also	ADV
ejpam-4351	424	30	those	those	PRON
ejpam-4351	424	31	of	of	ADP
ejpam-4351	424	32	the	the	DET
ejpam-4351	424	33	degroot	degroot	PROPN
ejpam-4351	424	34	and	and	CCONJ
ejpam-4351	424	35	entropy	entropy	VERB
ejpam-4351	424	36	loss	loss	NOUN
ejpam-4351	424	37	functions	function	NOUN
ejpam-4351	424	38	.	.	PUNCT
ejpam-4351	425	1	we	we	PRON
ejpam-4351	425	2	also	also	ADV
ejpam-4351	425	3	determine	determine	VERB
ejpam-4351	425	4	the	the	DET
ejpam-4351	425	5	e	e	NOUN
ejpam-4351	425	6	-	-	NOUN
ejpam-4351	425	7	bayesian	bayesian	ADJ
ejpam-4351	425	8	estimators	estimator	NOUN
ejpam-4351	425	9	of	of	ADP
ejpam-4351	425	10	the	the	DET
ejpam-4351	425	11	scale	scale	NOUN
ejpam-4351	425	12	parameter	parameter	NOUN
ejpam-4351	425	13	for	for	ADP
ejpam-4351	425	14	the	the	DET
ejpam-4351	425	15	prior	prior	ADJ
ejpam-4351	425	16	distributions	distribution	NOUN
ejpam-4351	425	17	of	of	ADP
ejpam-4351	425	18	the	the	DET
ejpam-4351	425	19	hyper	hyper	NOUN
ejpam-4351	425	20	-	-	NOUN
ejpam-4351	425	21	parameters	parameter	NOUN
ejpam-4351	425	22	under	under	ADP
ejpam-4351	425	23	the	the	DET
ejpam-4351	425	24	entropy	entropy	NOUN
ejpam-4351	425	25	loss	loss	NOUN
ejpam-4351	425	26	function	function	NOUN
ejpam-4351	425	27	for	for	ADP
ejpam-4351	425	28	p	p	NOUN
ejpam-4351	425	29	=	=	SYM
ejpam-4351	425	30	1	1	NUM
ejpam-4351	425	31	and	and	CCONJ
ejpam-4351	425	32	under	under	ADP
ejpam-4351	425	33	the	the	DET
ejpam-4351	425	34	degroot	degroot	PROPN
ejpam-4351	425	35	loss	loss	NOUN
ejpam-4351	425	36	function	function	NOUN
ejpam-4351	425	37	.	.	PUNCT
ejpam-4351	426	1	as	as	ADP
ejpam-4351	426	2	perspectives	perspective	NOUN
ejpam-4351	426	3	,	,	PUNCT
ejpam-4351	426	4	we	we	PRON
ejpam-4351	426	5	plan	plan	VERB
ejpam-4351	426	6	to	to	PART
ejpam-4351	426	7	work	work	VERB
ejpam-4351	426	8	on	on	ADP
ejpam-4351	426	9	the	the	DET
ejpam-4351	426	10	relations	relation	NOUN
ejpam-4351	426	11	existing	exist	VERB
ejpam-4351	426	12	among	among	ADP
ejpam-4351	426	13	the	the	DET
ejpam-4351	426	14	estimators	estimator	NOUN
ejpam-4351	426	15	β̂k(ebqgi	β̂k(ebqgi	PART
ejpam-4351	426	16	)	)	PUNCT
ejpam-4351	427	1	(	(	PUNCT
ejpam-4351	427	2	i	i	NOUN
ejpam-4351	427	3	=	=	NOUN
ejpam-4351	427	4	1	1	NUM
ejpam-4351	427	5	,	,	PUNCT
ejpam-4351	427	6	2	2	NUM
ejpam-4351	427	7	,	,	PUNCT
ejpam-4351	427	8	3	3	NUM
ejpam-4351	427	9	)	)	PUNCT
ejpam-4351	427	10	,	,	PUNCT
ejpam-4351	427	11	β̂k(ebdi	β̂k(ebdi	PROPN
ejpam-4351	427	12	)	)	PUNCT
ejpam-4351	427	13	(	(	PUNCT
ejpam-4351	427	14	i	i	NOUN
ejpam-4351	427	15	=	=	NOUN
ejpam-4351	427	16	1	1	NUM
ejpam-4351	427	17	,	,	PUNCT
ejpam-4351	427	18	2	2	NUM
ejpam-4351	427	19	,	,	PUNCT
ejpam-4351	427	20	3	3	NUM
ejpam-4351	427	21	)	)	PUNCT
ejpam-4351	427	22	and	and	CCONJ
ejpam-4351	427	23	the	the	DET
ejpam-4351	427	24	relations	relation	NOUN
ejpam-4351	427	25	among	among	ADP
ejpam-4351	427	26	β̂k(ebei	β̂k(ebei	NOUN
ejpam-4351	427	27	)	)	PUNCT
ejpam-4351	427	28	(	(	PUNCT
ejpam-4351	427	29	i	i	NOUN
ejpam-4351	427	30	=	=	NOUN
ejpam-4351	427	31	1	1	NUM
ejpam-4351	427	32	,	,	PUNCT
ejpam-4351	427	33	2	2	NUM
ejpam-4351	427	34	,	,	PUNCT
ejpam-4351	427	35	3	3	NUM
ejpam-4351	427	36	)	)	PUNCT
ejpam-4351	427	37	.	.	PUNCT
ejpam-4351	428	1	in	in	ADP
ejpam-4351	428	2	a	a	DET
ejpam-4351	428	3	second	second	ADJ
ejpam-4351	428	4	step	step	NOUN
ejpam-4351	428	5	,	,	PUNCT
ejpam-4351	428	6	we	we	PRON
ejpam-4351	428	7	will	will	AUX
ejpam-4351	428	8	do	do	VERB
ejpam-4351	428	9	simulation	simulation	NOUN
ejpam-4351	428	10	experiments	experiment	NOUN
ejpam-4351	428	11	to	to	PART
ejpam-4351	428	12	evaluate	evaluate	VERB
ejpam-4351	428	13	the	the	DET
ejpam-4351	428	14	performance	performance	NOUN
ejpam-4351	428	15	of	of	ADP
ejpam-4351	428	16	bayesian	bayesian	NOUN
ejpam-4351	428	17	and	and	CCONJ
ejpam-4351	428	18	e	e	NOUN
ejpam-4351	428	19	-	-	NOUN
ejpam-4351	428	20	bayesian	bayesian	ADJ
ejpam-4351	428	21	estimation	estimation	NOUN
ejpam-4351	428	22	of	of	ADP
ejpam-4351	428	23	the	the	DET
ejpam-4351	428	24	reliability	reliability	NOUN
ejpam-4351	428	25	functions	function	NOUN
ejpam-4351	428	26	based	base	VERB
ejpam-4351	428	27	on	on	ADP
ejpam-4351	428	28	the	the	DET
ejpam-4351	428	29	generalized	generalized	ADJ
ejpam-4351	428	30	quadratic	quadratic	ADJ
ejpam-4351	428	31	loss	loss	NOUN
ejpam-4351	428	32	,	,	PUNCT
ejpam-4351	428	33	degroot	degroot	PROPN
ejpam-4351	428	34	and	and	CCONJ
ejpam-4351	428	35	entropy	entropy	PROPN
ejpam-4351	428	36	functions	function	NOUN
ejpam-4351	428	37	in	in	ADP
ejpam-4351	428	38	terms	term	NOUN
ejpam-4351	428	39	of	of	ADP
ejpam-4351	428	40	estimated	estimate	VERB
ejpam-4351	428	41	risks	risk	NOUN
ejpam-4351	428	42	by	by	ADP
ejpam-4351	428	43	monte	monte	PROPN
ejpam-4351	428	44	carlo	carlo	PROPN
ejpam-4351	428	45	methods	method	NOUN
ejpam-4351	428	46	.	.	PUNCT
ejpam-4351	429	1	we	we	PRON
ejpam-4351	429	2	will	will	AUX
ejpam-4351	429	3	also	also	ADV
ejpam-4351	429	4	make	make	VERB
ejpam-4351	429	5	applications	application	NOUN
ejpam-4351	429	6	in	in	ADP
ejpam-4351	429	7	survival	survival	NOUN
ejpam-4351	429	8	data	datum	NOUN
ejpam-4351	429	9	in	in	ADP
ejpam-4351	429	10	biology	biology	NOUN
ejpam-4351	429	11	of	of	ADP
ejpam-4351	429	12	aging	aging	NOUN
ejpam-4351	429	13	where	where	SCONJ
ejpam-4351	429	14	αk	αk	NOUN
ejpam-4351	429	15	is	be	AUX
ejpam-4351	429	16	called	call	VERB
ejpam-4351	429	17	the	the	DET
ejpam-4351	429	18	coefficient	coefficient	NOUN
ejpam-4351	429	19	of	of	ADP
ejpam-4351	429	20	the	the	DET
ejpam-4351	429	21	age	age	NOUN
ejpam-4351	429	22	-	-	PUNCT
ejpam-4351	429	23	dependent	dependent	ADJ
ejpam-4351	429	24	mortality	mortality	NOUN
ejpam-4351	429	25	rate	rate	NOUN
ejpam-4351	429	26	,	,	PUNCT
ejpam-4351	429	27	and	and	CCONJ
ejpam-4351	429	28	βk	βk	NOUN
ejpam-4351	429	29	is	be	AUX
ejpam-4351	429	30	called	call	VERB
ejpam-4351	429	31	the	the	DET
ejpam-4351	429	32	coefficient	coefficient	NOUN
ejpam-4351	429	33	of	of	ADP
ejpam-4351	429	34	the	the	DET
ejpam-4351	429	35	death	death	NOUN
ejpam-4351	429	36	-	-	PUNCT
ejpam-4351	429	37	age	age	NOUN
ejpam-4351	429	38	-	-	PUNCT
ejpam-4351	429	39	independent	independent	ADJ
ejpam-4351	429	40	rate	rate	NOUN
ejpam-4351	429	41	.	.	PUNCT
ejpam-4351	430	1	the	the	DET
ejpam-4351	430	2	curves	curve	NOUN
ejpam-4351	430	3	that	that	PRON
ejpam-4351	430	4	we	we	PRON
ejpam-4351	430	5	will	will	AUX
ejpam-4351	430	6	obtain	obtain	VERB
ejpam-4351	430	7	will	will	AUX
ejpam-4351	430	8	be	be	AUX
ejpam-4351	430	9	compared	compare	VERB
ejpam-4351	430	10	with	with	ADP
ejpam-4351	430	11	those	those	DET
ejpam-4351	430	12	references	reference	NOUN
ejpam-4351	430	13	771	771	NUM
ejpam-4351	430	14	obtained	obtain	VERB
ejpam-4351	430	15	by	by	ADP
ejpam-4351	430	16	[	[	X
ejpam-4351	430	17	31	31	NUM
ejpam-4351	430	18	]	]	PUNCT
ejpam-4351	430	19	and	and	CCONJ
ejpam-4351	430	20	we	we	PRON
ejpam-4351	430	21	will	will	AUX
ejpam-4351	430	22	allow	allow	VERB
ejpam-4351	430	23	us	we	PRON
ejpam-4351	430	24	to	to	PART
ejpam-4351	430	25	judge	judge	VERB
ejpam-4351	430	26	the	the	DET
ejpam-4351	430	27	robustness	robustness	NOUN
ejpam-4351	430	28	and/or	and/or	CCONJ
ejpam-4351	430	29	efficiency	efficiency	NOUN
ejpam-4351	430	30	of	of	ADP
ejpam-4351	430	31	our	our	PRON
ejpam-4351	430	32	estimators	estimator	NOUN
ejpam-4351	430	33	obtained	obtain	VERB
ejpam-4351	430	34	.	.	PUNCT
ejpam-4351	431	1	finally	finally	ADV
ejpam-4351	431	2	,	,	PUNCT
ejpam-4351	431	3	we	we	PRON
ejpam-4351	431	4	will	will	AUX
ejpam-4351	431	5	consider	consider	VERB
ejpam-4351	431	6	the	the	DET
ejpam-4351	431	7	case	case	NOUN
ejpam-4351	431	8	of	of	ADP
ejpam-4351	431	9	the	the	DET
ejpam-4351	431	10	0	0	NUM
ejpam-4351	431	11	-	-	SYM
ejpam-4351	431	12	1	1	NUM
ejpam-4351	431	13	loss	loss	NOUN
ejpam-4351	431	14	function	function	NOUN
ejpam-4351	431	15	.	.	PUNCT
ejpam-4351	432	1	acknowledgements	acknowledgement	NOUN
ejpam-4351	432	2	the	the	DET
ejpam-4351	432	3	authors	author	NOUN
ejpam-4351	432	4	thank	thank	VERB
ejpam-4351	432	5	the	the	DET
ejpam-4351	432	6	editor	editor	NOUN
ejpam-4351	432	7	and	and	CCONJ
ejpam-4351	432	8	the	the	DET
ejpam-4351	432	9	reviewers	reviewer	NOUN
ejpam-4351	432	10	for	for	ADP
ejpam-4351	432	11	their	their	PRON
ejpam-4351	432	12	criticisms	criticism	NOUN
ejpam-4351	432	13	and	and	CCONJ
ejpam-4351	432	14	suggestions	suggestion	NOUN
ejpam-4351	432	15	which	which	PRON
ejpam-4351	432	16	have	have	AUX
ejpam-4351	432	17	considerably	considerably	ADV
ejpam-4351	432	18	raised	raise	VERB
ejpam-4351	432	19	the	the	DET
ejpam-4351	432	20	standard	standard	NOUN
ejpam-4351	432	21	of	of	ADP
ejpam-4351	432	22	this	this	DET
ejpam-4351	432	23	article	article	NOUN
ejpam-4351	432	24	.	.	PUNCT
ejpam-4351	433	1	the	the	DET
ejpam-4351	433	2	first	first	ADJ
ejpam-4351	433	3	author	author	NOUN
ejpam-4351	433	4	wishes	wish	VERB
ejpam-4351	433	5	to	to	PART
ejpam-4351	433	6	warmly	warmly	ADV
ejpam-4351	433	7	thank	thank	VERB
ejpam-4351	433	8	the	the	DET
ejpam-4351	433	9	elie	elie	PROPN
ejpam-4351	433	10	cartan	cartan	PROPN
ejpam-4351	433	11	institute	institute	PROPN
ejpam-4351	433	12	of	of	ADP
ejpam-4351	433	13	lorraine	lorraine	PROPN
ejpam-4351	433	14	(	(	PUNCT
ejpam-4351	433	15	iecl	iecl	NOUN
ejpam-4351	433	16	)	)	PUNCT
ejpam-4351	433	17	of	of	ADP
ejpam-4351	433	18	the	the	DET
ejpam-4351	433	19	university	university	PROPN
ejpam-4351	433	20	of	of	ADP
ejpam-4351	433	21	lorraine	lorraine	PROPN
ejpam-4351	433	22	in	in	ADP
ejpam-4351	433	23	france	france	PROPN
ejpam-4351	433	24	,	,	PUNCT
ejpam-4351	433	25	for	for	ADP
ejpam-4351	433	26	having	having	AUX
ejpam-4351	433	27	granted	grant	VERB
ejpam-4351	433	28	him	he	PRON
ejpam-4351	433	29	a	a	DET
ejpam-4351	433	30	stay	stay	NOUN
ejpam-4351	433	31	on	on	ADP
ejpam-4351	433	32	its	its	PRON
ejpam-4351	433	33	premises	premise	NOUN
ejpam-4351	433	34	which	which	PRON
ejpam-4351	433	35	enabled	enable	VERB
ejpam-4351	433	36	him	he	PRON
ejpam-4351	433	37	to	to	PART
ejpam-4351	433	38	work	work	VERB
ejpam-4351	433	39	thoroughly	thoroughly	ADV
ejpam-4351	433	40	on	on	ADP
ejpam-4351	433	41	this	this	DET
ejpam-4351	433	42	paper	paper	NOUN
ejpam-4351	433	43	.	.	PUNCT
ejpam-4351	434	1	references	reference	NOUN
ejpam-4351	434	2	[	[	X
ejpam-4351	434	3	1	1	NUM
ejpam-4351	434	4	]	]	PUNCT
ejpam-4351	434	5	pk	pk	PROPN
ejpam-4351	434	6	anderson	anderson	PROPN
ejpam-4351	434	7	,	,	PUNCT
ejpam-4351	434	8	ø	ø	PROPN
ejpam-4351	434	9	borgan	borgan	PROPN
ejpam-4351	434	10	,	,	PUNCT
ejpam-4351	434	11	rd	rd	NOUN
ejpam-4351	434	12	gill	gill	PROPN
ejpam-4351	434	13	,	,	PUNCT
ejpam-4351	434	14	and	and	CCONJ
ejpam-4351	434	15	n	n	PRON
ejpam-4351	434	16	keiding	keide	VERB
ejpam-4351	434	17	.	.	PUNCT
ejpam-4351	435	1	statistical	statistical	ADJ
ejpam-4351	435	2	models	model	NOUN
ejpam-4351	435	3	based	base	VERB
ejpam-4351	435	4	on	on	ADP
ejpam-4351	435	5	counting	count	VERB
ejpam-4351	435	6	processes	process	NOUN
ejpam-4351	435	7	.	.	PUNCT
ejpam-4351	436	1	biometrics	biometric	NOUN
ejpam-4351	436	2	,	,	PUNCT
ejpam-4351	436	3	24:100–101	24:100–101	NUM
ejpam-4351	436	4	,	,	PUNCT
ejpam-4351	436	5	1993	1993	NUM
ejpam-4351	436	6	.	.	PUNCT
ejpam-4351	437	1	[	[	X
ejpam-4351	437	2	2	2	NUM
ejpam-4351	437	3	]	]	PUNCT
ejpam-4351	437	4	mark	mark	NOUN
ejpam-4351	437	5	bagnoli	bagnoli	NOUN
ejpam-4351	437	6	and	and	CCONJ
ejpam-4351	437	7	ted	te	VERB
ejpam-4351	437	8	bergstrom	bergstrom	PROPN
ejpam-4351	437	9	.	.	PUNCT
ejpam-4351	437	10	log	log	NOUN
ejpam-4351	437	11	-	-	PUNCT
ejpam-4351	437	12	concave	concave	NOUN
ejpam-4351	437	13	probability	probability	NOUN
ejpam-4351	437	14	and	and	CCONJ
ejpam-4351	437	15	its	its	PRON
ejpam-4351	437	16	applications	application	NOUN
ejpam-4351	437	17	.	.	PUNCT
ejpam-4351	438	1	economic	economic	ADJ
ejpam-4351	438	2	theory	theory	NOUN
ejpam-4351	438	3	,	,	PUNCT
ejpam-4351	438	4	26(2):445–469	26(2):445–469	PROPN
ejpam-4351	438	5	,	,	PUNCT
ejpam-4351	438	6	2005	2005	NUM
ejpam-4351	438	7	.	.	PUNCT
ejpam-4351	439	1	[	[	X
ejpam-4351	439	2	3	3	X
ejpam-4351	439	3	]	]	X
ejpam-4351	439	4	j	j	PROPN
ejpam-4351	439	5	berger	berger	PROPN
ejpam-4351	439	6	.	.	PUNCT
ejpam-4351	440	1	statistical	statistical	ADJ
ejpam-4351	440	2	decision	decision	NOUN
ejpam-4351	440	3	theory	theory	NOUN
ejpam-4351	440	4	and	and	CCONJ
ejpam-4351	440	5	bayesian	bayesian	NOUN
ejpam-4351	440	6	analysis	analysis	NOUN
ejpam-4351	440	7	.	.	PUNCT
ejpam-4351	441	1	springer	springer	NOUN
ejpam-4351	441	2	series	series	PROPN
ejpam-4351	441	3	in	in	ADP
ejpam-4351	441	4	statistics	statistic	NOUN
ejpam-4351	441	5	.	.	PUNCT
ejpam-4351	442	1	24	24	NUM
ejpam-4351	442	2	cm	cm	NOUN
ejpam-4351	442	3	.	.	PUNCT
ejpam-4351	443	1	617	617	NUM
ejpam-4351	443	2	p.	p.	NOUN
ejpam-4351	443	3	,	,	PUNCT
ejpam-4351	443	4	1985	1985	NUM
ejpam-4351	443	5	.	.	PUNCT
ejpam-4351	444	1	[	[	X
ejpam-4351	444	2	4	4	NUM
ejpam-4351	444	3	]	]	X
ejpam-4351	444	4	r	r	NOUN
ejpam-4351	444	5	calabria	calabria	NOUN
ejpam-4351	444	6	and	and	CCONJ
ejpam-4351	444	7	gs	gs	PROPN
ejpam-4351	444	8	pulcini	pulcini	PROPN
ejpam-4351	444	9	.	.	PUNCT
ejpam-4351	445	1	an	an	DET
ejpam-4351	445	2	engineering	engineering	NOUN
ejpam-4351	445	3	approach	approach	NOUN
ejpam-4351	445	4	to	to	ADP
ejpam-4351	445	5	bayes	bayes	PROPN
ejpam-4351	445	6	estimation	estimation	NOUN
ejpam-4351	445	7	for	for	ADP
ejpam-4351	445	8	the	the	DET
ejpam-4351	445	9	weibull	weibull	PROPN
ejpam-4351	445	10	distribution	distribution	NOUN
ejpam-4351	445	11	.	.	PUNCT
ejpam-4351	446	1	microelectronics	microelectronic	NOUN
ejpam-4351	446	2	reliability	reliability	NOUN
ejpam-4351	446	3	,	,	PUNCT
ejpam-4351	446	4	34(5):789–802	34(5):789–802	PROPN
ejpam-4351	446	5	,	,	PUNCT
ejpam-4351	446	6	1994	1994	NUM
ejpam-4351	446	7	.	.	PUNCT
ejpam-4351	447	1	[	[	X
ejpam-4351	447	2	5	5	NUM
ejpam-4351	447	3	]	]	PUNCT
ejpam-4351	447	4	morris	morris	PROPN
ejpam-4351	447	5	h	h	PROPN
ejpam-4351	447	6	degroot	degroot	PROPN
ejpam-4351	447	7	.	.	PUNCT
ejpam-4351	448	1	optimal	optimal	ADJ
ejpam-4351	448	2	statistical	statistical	ADJ
ejpam-4351	448	3	decisions	decision	NOUN
ejpam-4351	448	4	.	.	PUNCT
ejpam-4351	449	1	technical	technical	ADJ
ejpam-4351	449	2	report	report	PROPN
ejpam-4351	449	3	,	,	PUNCT
ejpam-4351	449	4	1970	1970	NUM
ejpam-4351	449	5	.	.	PUNCT
ejpam-4351	450	1	[	[	X
ejpam-4351	450	2	6	6	NUM
ejpam-4351	450	3	]	]	PUNCT
ejpam-4351	450	4	aldila	aldila	PROPN
ejpam-4351	450	5	fitrilia	fitrilia	PROPN
ejpam-4351	450	6	,	,	PUNCT
ejpam-4351	450	7	ida	ida	PROPN
ejpam-4351	450	8	fithriani	fithriani	PROPN
ejpam-4351	450	9	,	,	PUNCT
ejpam-4351	450	10	and	and	CCONJ
ejpam-4351	450	11	siti	siti	PROPN
ejpam-4351	450	12	nurrohmah	nurrohmah	PROPN
ejpam-4351	450	13	.	.	PUNCT
ejpam-4351	451	1	parameter	parameter	PROPN
ejpam-4351	451	2	estimation	estimation	NOUN
ejpam-4351	451	3	for	for	ADP
ejpam-4351	451	4	the	the	DET
ejpam-4351	451	5	lomax	lomax	PROPN
ejpam-4351	451	6	distribution	distribution	NOUN
ejpam-4351	451	7	using	use	VERB
ejpam-4351	451	8	the	the	DET
ejpam-4351	451	9	e	e	NOUN
ejpam-4351	451	10	-	-	NOUN
ejpam-4351	451	11	bayesian	bayesian	ADJ
ejpam-4351	451	12	method	method	NOUN
ejpam-4351	451	13	.	.	PUNCT
ejpam-4351	452	1	in	in	ADP
ejpam-4351	452	2	journal	journal	PROPN
ejpam-4351	452	3	of	of	ADP
ejpam-4351	452	4	physics	physics	PROPN
ejpam-4351	452	5	:	:	PUNCT
ejpam-4351	452	6	conference	conference	NOUN
ejpam-4351	452	7	series	series	NOUN
ejpam-4351	452	8	,	,	PUNCT
ejpam-4351	452	9	volume	volume	NOUN
ejpam-4351	452	10	1108	1108	NUM
ejpam-4351	452	11	,	,	PUNCT
ejpam-4351	452	12	page	page	NOUN
ejpam-4351	452	13	012081	012081	NUM
ejpam-4351	452	14	.	.	PUNCT
ejpam-4351	453	1	iop	iop	PROPN
ejpam-4351	453	2	publishing	publishing	NOUN
ejpam-4351	453	3	,	,	PUNCT
ejpam-4351	453	4	2018	2018	NUM
ejpam-4351	453	5	.	.	PUNCT
ejpam-4351	454	1	[	[	X
ejpam-4351	454	2	7	7	X
ejpam-4351	454	3	]	]	PUNCT
ejpam-4351	454	4	thomas	thomas	PROPN
ejpam-4351	454	5	r	r	PROPN
ejpam-4351	454	6	fleming	fleming	NOUN
ejpam-4351	454	7	.	.	PUNCT
ejpam-4351	454	8	counting	count	VERB
ejpam-4351	454	9	processes	process	NOUN
ejpam-4351	454	10	and	and	CCONJ
ejpam-4351	454	11	survial	survial	ADJ
ejpam-4351	454	12	analysis	analysis	NOUN
ejpam-4351	454	13	.	.	PUNCT
ejpam-4351	455	1	technical	technical	ADJ
ejpam-4351	455	2	report	report	NOUN
ejpam-4351	455	3	.	.	PUNCT
ejpam-4351	456	1	[	[	X
ejpam-4351	456	2	8	8	NUM
ejpam-4351	456	3	]	]	X
ejpam-4351	456	4	cf	cf	NOUN
ejpam-4351	456	5	gauss	gauss	NOUN
ejpam-4351	456	6	.	.	PUNCT
ejpam-4351	457	1	least	least	ADJ
ejpam-4351	457	2	squares	square	NOUN
ejpam-4351	457	3	method	method	NOUN
ejpam-4351	457	4	for	for	ADP
ejpam-4351	457	5	the	the	DET
ejpam-4351	457	6	combinations	combination	NOUN
ejpam-4351	457	7	of	of	ADP
ejpam-4351	457	8	observations	observation	NOUN
ejpam-4351	457	9	.	.	PUNCT
ejpam-4351	458	1	translated	translate	VERB
ejpam-4351	458	2	by	by	ADP
ejpam-4351	458	3	j.	j.	PROPN
ejpam-4351	458	4	bertrand	bertrand	PROPN
ejpam-4351	458	5	,	,	PUNCT
ejpam-4351	458	6	1955	1955	NUM
ejpam-4351	458	7	.	.	PUNCT
ejpam-4351	459	1	[	[	X
ejpam-4351	459	2	9	9	NUM
ejpam-4351	459	3	]	]	X
ejpam-4351	459	4	benjamin	benjamin	PROPN
ejpam-4351	459	5	gompertz	gompertz	PROPN
ejpam-4351	459	6	.	.	PUNCT
ejpam-4351	460	1	xxiv	xxiv	PROPN
ejpam-4351	460	2	.	.	PUNCT
ejpam-4351	461	1	on	on	ADP
ejpam-4351	461	2	the	the	DET
ejpam-4351	461	3	nature	nature	NOUN
ejpam-4351	461	4	of	of	ADP
ejpam-4351	461	5	the	the	DET
ejpam-4351	461	6	function	function	NOUN
ejpam-4351	461	7	expressive	expressive	ADJ
ejpam-4351	461	8	of	of	ADP
ejpam-4351	461	9	the	the	DET
ejpam-4351	461	10	law	law	NOUN
ejpam-4351	461	11	of	of	ADP
ejpam-4351	461	12	human	human	ADJ
ejpam-4351	461	13	mortality	mortality	NOUN
ejpam-4351	461	14	,	,	PUNCT
ejpam-4351	461	15	and	and	CCONJ
ejpam-4351	461	16	on	on	ADP
ejpam-4351	461	17	a	a	DET
ejpam-4351	461	18	new	new	ADJ
ejpam-4351	461	19	mode	mode	NOUN
ejpam-4351	461	20	of	of	ADP
ejpam-4351	461	21	determining	determine	VERB
ejpam-4351	461	22	the	the	DET
ejpam-4351	461	23	value	value	NOUN
ejpam-4351	461	24	of	of	ADP
ejpam-4351	461	25	life	life	NOUN
ejpam-4351	461	26	contingencies	contingency	NOUN
ejpam-4351	461	27	.	.	PUNCT
ejpam-4351	462	1	in	in	ADP
ejpam-4351	462	2	a	a	DET
ejpam-4351	462	3	letter	letter	NOUN
ejpam-4351	462	4	to	to	ADP
ejpam-4351	462	5	francis	francis	PROPN
ejpam-4351	462	6	baily	baily	PROPN
ejpam-4351	462	7	,	,	PUNCT
ejpam-4351	462	8	esq	esq	PROPN
ejpam-4351	462	9	.	.	PROPN
ejpam-4351	462	10	frs	frs	PROPN
ejpam-4351	462	11	&	&	CCONJ
ejpam-4351	462	12	c.	c.	PROPN
ejpam-4351	462	13	philosophical	philosophical	ADJ
ejpam-4351	462	14	transactions	transaction	NOUN
ejpam-4351	462	15	of	of	ADP
ejpam-4351	462	16	the	the	DET
ejpam-4351	462	17	royal	royal	ADJ
ejpam-4351	462	18	society	society	NOUN
ejpam-4351	462	19	of	of	ADP
ejpam-4351	462	20	london	london	PROPN
ejpam-4351	462	21	,	,	PUNCT
ejpam-4351	462	22	(	(	PUNCT
ejpam-4351	462	23	115):513–583	115):513–583	NUM
ejpam-4351	462	24	,	,	PUNCT
ejpam-4351	462	25	1825	1825	NUM
ejpam-4351	462	26	.	.	PUNCT
ejpam-4351	463	1	[	[	X
ejpam-4351	463	2	10	10	NUM
ejpam-4351	463	3	]	]	X
ejpam-4351	463	4	ming	ming	PROPN
ejpam-4351	463	5	han	han	PROPN
ejpam-4351	463	6	.	.	PUNCT
ejpam-4351	464	1	the	the	DET
ejpam-4351	464	2	structure	structure	NOUN
ejpam-4351	464	3	of	of	ADP
ejpam-4351	464	4	hierarchical	hierarchical	ADJ
ejpam-4351	464	5	prior	prior	ADJ
ejpam-4351	464	6	distribution	distribution	NOUN
ejpam-4351	464	7	and	and	CCONJ
ejpam-4351	464	8	its	its	PRON
ejpam-4351	464	9	applications	application	NOUN
ejpam-4351	464	10	.	.	PUNCT
ejpam-4351	465	1	chinese	chinese	ADJ
ejpam-4351	465	2	operations	operation	NOUN
ejpam-4351	465	3	research	research	NOUN
ejpam-4351	465	4	and	and	CCONJ
ejpam-4351	465	5	management	management	NOUN
ejpam-4351	465	6	science	science	NOUN
ejpam-4351	465	7	,	,	PUNCT
ejpam-4351	465	8	6(3):31–40	6(3):31–40	NUM
ejpam-4351	465	9	,	,	PUNCT
ejpam-4351	465	10	1997	1997	NUM
ejpam-4351	465	11	.	.	PUNCT
ejpam-4351	466	1	[	[	X
ejpam-4351	466	2	11	11	NUM
ejpam-4351	466	3	]	]	X
ejpam-4351	466	4	ming	ming	PROPN
ejpam-4351	466	5	han	han	PROPN
ejpam-4351	466	6	.	.	PUNCT
ejpam-4351	467	1	e	e	X
ejpam-4351	467	2	-	-	NOUN
ejpam-4351	467	3	bayesian	bayesian	ADJ
ejpam-4351	467	4	estimation	estimation	NOUN
ejpam-4351	467	5	of	of	ADP
ejpam-4351	467	6	failure	failure	NOUN
ejpam-4351	467	7	probability	probability	NOUN
ejpam-4351	467	8	and	and	CCONJ
ejpam-4351	467	9	its	its	PRON
ejpam-4351	467	10	application	application	NOUN
ejpam-4351	467	11	.	.	PUNCT
ejpam-4351	468	1	mathematical	mathematical	ADJ
ejpam-4351	468	2	and	and	CCONJ
ejpam-4351	468	3	computer	computer	NOUN
ejpam-4351	468	4	modelling	modelling	NOUN
ejpam-4351	468	5	,	,	PUNCT
ejpam-4351	468	6	45(9	45(9	NOUN
ejpam-4351	468	7	-	-	NOUN
ejpam-4351	468	8	10):1272–1279	10):1272–1279	NUM
ejpam-4351	468	9	,	,	PUNCT
ejpam-4351	468	10	2007	2007	NUM
ejpam-4351	468	11	.	.	PUNCT
ejpam-4351	469	1	references	reference	NOUN
ejpam-4351	469	2	772	772	NUM
ejpam-4351	470	1	[	[	X
ejpam-4351	470	2	12	12	NUM
ejpam-4351	470	3	]	]	X
ejpam-4351	470	4	ming	ming	PROPN
ejpam-4351	470	5	han	han	PROPN
ejpam-4351	470	6	.	.	PUNCT
ejpam-4351	471	1	e	e	X
ejpam-4351	471	2	-	-	NOUN
ejpam-4351	471	3	bayesian	bayesian	ADJ
ejpam-4351	471	4	estimation	estimation	NOUN
ejpam-4351	471	5	and	and	CCONJ
ejpam-4351	471	6	hierarchical	hierarchical	ADJ
ejpam-4351	471	7	bayesian	bayesian	NOUN
ejpam-4351	471	8	estimation	estimation	NOUN
ejpam-4351	471	9	of	of	ADP
ejpam-4351	471	10	failure	failure	NOUN
ejpam-4351	471	11	rate	rate	NOUN
ejpam-4351	471	12	.	.	PUNCT
ejpam-4351	472	1	applied	apply	VERB
ejpam-4351	472	2	mathematical	mathematical	ADJ
ejpam-4351	472	3	modelling	modelling	NOUN
ejpam-4351	472	4	,	,	PUNCT
ejpam-4351	472	5	33(4):1915–1922	33(4):1915–1922	NUM
ejpam-4351	472	6	,	,	PUNCT
ejpam-4351	472	7	2009	2009	NUM
ejpam-4351	472	8	.	.	PUNCT
ejpam-4351	473	1	[	[	X
ejpam-4351	473	2	13	13	NUM
ejpam-4351	473	3	]	]	X
ejpam-4351	473	4	ming	ming	PROPN
ejpam-4351	473	5	han	han	PROPN
ejpam-4351	473	6	.	.	PUNCT
ejpam-4351	474	1	e	e	X
ejpam-4351	474	2	-	-	NOUN
ejpam-4351	474	3	bayesian	bayesian	ADJ
ejpam-4351	474	4	estimation	estimation	NOUN
ejpam-4351	474	5	of	of	ADP
ejpam-4351	474	6	the	the	DET
ejpam-4351	474	7	reliability	reliability	NOUN
ejpam-4351	474	8	derived	derive	VERB
ejpam-4351	474	9	from	from	ADP
ejpam-4351	474	10	binomial	binomial	ADJ
ejpam-4351	474	11	distribution	distribution	NOUN
ejpam-4351	474	12	.	.	PUNCT
ejpam-4351	475	1	applied	apply	VERB
ejpam-4351	475	2	mathematical	mathematical	ADJ
ejpam-4351	475	3	modelling	modelling	NOUN
ejpam-4351	475	4	,	,	PUNCT
ejpam-4351	475	5	35(5):2419–2424	35(5):2419–2424	NUM
ejpam-4351	475	6	,	,	PUNCT
ejpam-4351	475	7	2011	2011	NUM
ejpam-4351	475	8	.	.	PUNCT
ejpam-4351	476	1	[	[	X
ejpam-4351	476	2	14	14	NUM
ejpam-4351	476	3	]	]	X
ejpam-4351	476	4	jong	jong	PROPN
ejpam-4351	476	5	-	-	PUNCT
ejpam-4351	476	6	hyeon	hyeon	PROPN
ejpam-4351	476	7	jeong	jeong	PROPN
ejpam-4351	476	8	and	and	CCONJ
ejpam-4351	476	9	jason	jason	PROPN
ejpam-4351	476	10	fine	fine	PROPN
ejpam-4351	476	11	.	.	PUNCT
ejpam-4351	477	1	direct	direct	ADJ
ejpam-4351	477	2	parametric	parametric	ADJ
ejpam-4351	477	3	inference	inference	NOUN
ejpam-4351	477	4	for	for	ADP
ejpam-4351	477	5	the	the	DET
ejpam-4351	477	6	cumulative	cumulative	ADJ
ejpam-4351	477	7	incidence	incidence	NOUN
ejpam-4351	477	8	function	function	NOUN
ejpam-4351	477	9	.	.	PUNCT
ejpam-4351	478	1	journal	journal	NOUN
ejpam-4351	478	2	of	of	ADP
ejpam-4351	478	3	the	the	DET
ejpam-4351	478	4	royal	royal	ADJ
ejpam-4351	478	5	statistical	statistical	ADJ
ejpam-4351	478	6	society	society	NOUN
ejpam-4351	478	7	:	:	PUNCT
ejpam-4351	478	8	series	series	PROPN
ejpam-4351	478	9	c	c	PROPN
ejpam-4351	478	10	(	(	PUNCT
ejpam-4351	478	11	applied	apply	VERB
ejpam-4351	478	12	statistics	statistic	NOUN
ejpam-4351	478	13	)	)	PUNCT
ejpam-4351	478	14	,	,	PUNCT
ejpam-4351	478	15	55(2):187–200	55(2):187–200	PROPN
ejpam-4351	478	16	,	,	PUNCT
ejpam-4351	478	17	2006	2006	NUM
ejpam-4351	478	18	.	.	PUNCT
ejpam-4351	479	1	[	[	X
ejpam-4351	479	2	15	15	NUM
ejpam-4351	479	3	]	]	X
ejpam-4351	479	4	debasis	debasis	NOUN
ejpam-4351	479	5	kundu	kundu	NOUN
ejpam-4351	479	6	and	and	CCONJ
ejpam-4351	479	7	avijit	avijit	ADJ
ejpam-4351	479	8	joarder	joarder	NOUN
ejpam-4351	479	9	.	.	PUNCT
ejpam-4351	480	1	analysis	analysis	NOUN
ejpam-4351	480	2	of	of	ADP
ejpam-4351	480	3	type	type	NOUN
ejpam-4351	480	4	-	-	PUNCT
ejpam-4351	480	5	ii	ii	NOUN
ejpam-4351	480	6	progressively	progressively	ADV
ejpam-4351	480	7	hybrid	hybrid	ADJ
ejpam-4351	480	8	censored	censored	ADJ
ejpam-4351	480	9	data	datum	NOUN
ejpam-4351	480	10	.	.	PUNCT
ejpam-4351	481	1	computational	computational	ADJ
ejpam-4351	481	2	statistics	statistic	NOUN
ejpam-4351	481	3	&	&	CCONJ
ejpam-4351	481	4	data	datum	NOUN
ejpam-4351	481	5	analysis	analysis	NOUN
ejpam-4351	481	6	,	,	PUNCT
ejpam-4351	481	7	50(10):2509–2528	50(10):2509–2528	NUM
ejpam-4351	481	8	,	,	PUNCT
ejpam-4351	481	9	2006	2006	NUM
ejpam-4351	481	10	.	.	PUNCT
ejpam-4351	482	1	[	[	X
ejpam-4351	482	2	16	16	NUM
ejpam-4351	482	3	]	]	X
ejpam-4351	482	4	adrien	adrien	PROPN
ejpam-4351	482	5	-	-	PUNCT
ejpam-4351	482	6	marie	marie	PROPN
ejpam-4351	482	7	legendre	legendre	PROPN
ejpam-4351	482	8	.	.	PUNCT
ejpam-4351	483	1	new	new	ADJ
ejpam-4351	483	2	methods	method	NOUN
ejpam-4351	483	3	for	for	ADP
ejpam-4351	483	4	the	the	DET
ejpam-4351	483	5	determination	determination	NOUN
ejpam-4351	483	6	of	of	ADP
ejpam-4351	483	7	orbits	orbit	NOUN
ejpam-4351	483	8	of	of	ADP
ejpam-4351	483	9	comets	comet	NOUN
ejpam-4351	483	10	.	.	PUNCT
ejpam-4351	484	1	courcier	courcier	PROPN
ejpam-4351	484	2	,	,	PUNCT
ejpam-4351	484	3	paris	paris	PROPN
ejpam-4351	484	4	,	,	PUNCT
ejpam-4351	484	5	1805	1805	NUM
ejpam-4351	484	6	.	.	PUNCT
ejpam-4351	485	1	[	[	X
ejpam-4351	485	2	17	17	NUM
ejpam-4351	485	3	]	]	X
ejpam-4351	485	4	adam	adam	PROPN
ejpam-4351	485	5	lenart	lenart	PROPN
ejpam-4351	485	6	.	.	PUNCT
ejpam-4351	486	1	the	the	DET
ejpam-4351	486	2	moments	moment	NOUN
ejpam-4351	486	3	of	of	ADP
ejpam-4351	486	4	the	the	DET
ejpam-4351	486	5	gompertz	gompertz	NOUN
ejpam-4351	486	6	distribution	distribution	NOUN
ejpam-4351	486	7	and	and	CCONJ
ejpam-4351	486	8	maximum	maximum	ADJ
ejpam-4351	486	9	likelihood	likelihood	NOUN
ejpam-4351	486	10	estimation	estimation	NOUN
ejpam-4351	486	11	of	of	ADP
ejpam-4351	486	12	its	its	PRON
ejpam-4351	486	13	parameters	parameter	NOUN
ejpam-4351	486	14	.	.	PUNCT
ejpam-4351	487	1	scandinavian	scandinavian	ADJ
ejpam-4351	487	2	actuarial	actuarial	ADJ
ejpam-4351	487	3	journal	journal	NOUN
ejpam-4351	487	4	,	,	PUNCT
ejpam-4351	487	5	2014(3):255–277	2014(3):255–277	NUM
ejpam-4351	487	6	,	,	PUNCT
ejpam-4351	487	7	2014	2014	NUM
ejpam-4351	487	8	.	.	PUNCT
ejpam-4351	488	1	[	[	X
ejpam-4351	488	2	18	18	NUM
ejpam-4351	488	3	]	]	PUNCT
ejpam-4351	488	4	cp	cp	PROPN
ejpam-4351	488	5	li	li	PROPN
ejpam-4351	488	6	and	and	CCONJ
ejpam-4351	488	7	hb	hb	PROPN
ejpam-4351	488	8	hao	hao	PROPN
ejpam-4351	488	9	.	.	PUNCT
ejpam-4351	489	1	e	e	X
ejpam-4351	489	2	-	-	NOUN
ejpam-4351	489	3	bayesian	bayesian	ADJ
ejpam-4351	489	4	estimation	estimation	NOUN
ejpam-4351	489	5	and	and	CCONJ
ejpam-4351	489	6	hierarchical	hierarchical	ADJ
ejpam-4351	489	7	bayesian	bayesian	NOUN
ejpam-4351	489	8	estimation	estimation	NOUN
ejpam-4351	489	9	of	of	ADP
ejpam-4351	489	10	poisson	poisson	NOUN
ejpam-4351	489	11	distribution	distribution	NOUN
ejpam-4351	489	12	parameter	parameter	NOUN
ejpam-4351	489	13	under	under	ADP
ejpam-4351	489	14	entropy	entropy	PROPN
ejpam-4351	489	15	loss	loss	NOUN
ejpam-4351	489	16	function	function	NOUN
ejpam-4351	489	17	.	.	PUNCT
ejpam-4351	490	1	ijam	ijam	NOUN
ejpam-4351	490	2	,	,	PUNCT
ejpam-4351	490	3	49:369–374	49:369–374	PROPN
ejpam-4351	490	4	,	,	PUNCT
ejpam-4351	490	5	2019	2019	NUM
ejpam-4351	490	6	.	.	PUNCT
ejpam-4351	491	1	[	[	X
ejpam-4351	491	2	19	19	NUM
ejpam-4351	491	3	]	]	PUNCT
ejpam-4351	491	4	dennis	dennis	PROPN
ejpam-4351	491	5	v	v	ADP
ejpam-4351	491	6	lindley	lindley	PROPN
ejpam-4351	491	7	and	and	CCONJ
ejpam-4351	491	8	adrian	adrian	PROPN
ejpam-4351	491	9	fm	fm	PROPN
ejpam-4351	491	10	smith	smith	PROPN
ejpam-4351	491	11	.	.	PUNCT
ejpam-4351	492	1	bayes	bayes	PROPN
ejpam-4351	492	2	estimates	estimate	VERB
ejpam-4351	492	3	for	for	ADP
ejpam-4351	492	4	the	the	DET
ejpam-4351	492	5	linear	linear	PROPN
ejpam-4351	492	6	model	model	NOUN
ejpam-4351	492	7	.	.	PUNCT
ejpam-4351	493	1	journal	journal	NOUN
ejpam-4351	493	2	of	of	ADP
ejpam-4351	493	3	the	the	DET
ejpam-4351	493	4	royal	royal	ADJ
ejpam-4351	493	5	statistical	statistical	ADJ
ejpam-4351	493	6	society	society	NOUN
ejpam-4351	493	7	:	:	PUNCT
ejpam-4351	493	8	series	series	PROPN
ejpam-4351	493	9	b	b	PROPN
ejpam-4351	493	10	(	(	PUNCT
ejpam-4351	493	11	methodological	methodological	ADJ
ejpam-4351	493	12	)	)	PUNCT
ejpam-4351	493	13	,	,	PUNCT
ejpam-4351	493	14	34(1):1–18	34(1):1–18	NUM
ejpam-4351	493	15	,	,	PUNCT
ejpam-4351	493	16	1972	1972	NUM
ejpam-4351	493	17	.	.	PUNCT
ejpam-4351	494	1	[	[	X
ejpam-4351	494	2	20	20	NUM
ejpam-4351	494	3	]	]	PUNCT
ejpam-4351	494	4	song	song	PROPN
ejpam-4351	494	5	mao	mao	PROPN
ejpam-4351	494	6	,	,	PUNCT
ejpam-4351	494	7	yi	yi	PROPN
ejpam-4351	494	8	-	-	PUNCT
ejpam-4351	494	9	min	min	PROPN
ejpam-4351	494	10	shi	shi	PROPN
ejpam-4351	494	11	,	,	PUNCT
ejpam-4351	494	12	and	and	CCONJ
ejpam-4351	494	13	yu	yu	PROPN
ejpam-4351	494	14	-	-	PUNCT
ejpam-4351	494	15	dong	dong	PROPN
ejpam-4351	494	16	sun	sun	PROPN
ejpam-4351	494	17	.	.	PUNCT
ejpam-4351	495	1	exact	exact	ADJ
ejpam-4351	495	2	inference	inference	NOUN
ejpam-4351	495	3	for	for	ADP
ejpam-4351	495	4	competing	compete	VERB
ejpam-4351	495	5	risks	risk	NOUN
ejpam-4351	495	6	model	model	NOUN
ejpam-4351	495	7	with	with	ADP
ejpam-4351	495	8	generalized	generalized	ADJ
ejpam-4351	495	9	type	type	NOUN
ejpam-4351	495	10	-	-	PUNCT
ejpam-4351	495	11	i	i	PRON
ejpam-4351	495	12	hybrid	hybrid	ADJ
ejpam-4351	495	13	censored	censor	VERB
ejpam-4351	495	14	exponential	exponential	ADJ
ejpam-4351	495	15	data	datum	NOUN
ejpam-4351	495	16	.	.	PUNCT
ejpam-4351	496	1	journal	journal	NOUN
ejpam-4351	496	2	of	of	ADP
ejpam-4351	496	3	statistical	statistical	ADJ
ejpam-4351	496	4	computation	computation	NOUN
ejpam-4351	496	5	and	and	CCONJ
ejpam-4351	496	6	simulation	simulation	NOUN
ejpam-4351	496	7	,	,	PUNCT
ejpam-4351	496	8	84(11):2506–2521	84(11):2506–2521	NUM
ejpam-4351	496	9	,	,	PUNCT
ejpam-4351	496	10	2014	2014	NUM
ejpam-4351	496	11	.	.	PUNCT
ejpam-4351	497	1	[	[	X
ejpam-4351	497	2	21	21	NUM
ejpam-4351	497	3	]	]	X
ejpam-4351	497	4	josmar	josmar	PROPN
ejpam-4351	497	5	mazucheli	mazucheli	PROPN
ejpam-4351	497	6	and	and	CCONJ
ejpam-4351	497	7	jorge	jorge	VERB
ejpam-4351	497	8	a	a	DET
ejpam-4351	497	9	achcar	achcar	NOUN
ejpam-4351	497	10	.	.	PUNCT
ejpam-4351	498	1	the	the	DET
ejpam-4351	498	2	lindley	lindley	NOUN
ejpam-4351	498	3	distribution	distribution	NOUN
ejpam-4351	498	4	applied	apply	VERB
ejpam-4351	498	5	to	to	ADP
ejpam-4351	498	6	competing	compete	VERB
ejpam-4351	498	7	risks	risk	NOUN
ejpam-4351	498	8	lifetime	lifetime	NOUN
ejpam-4351	498	9	data	datum	NOUN
ejpam-4351	498	10	.	.	PUNCT
ejpam-4351	499	1	computer	computer	NOUN
ejpam-4351	499	2	methods	method	NOUN
ejpam-4351	499	3	and	and	CCONJ
ejpam-4351	499	4	programs	program	NOUN
ejpam-4351	499	5	in	in	ADP
ejpam-4351	499	6	biomedicine	biomedicine	NOUN
ejpam-4351	499	7	,	,	PUNCT
ejpam-4351	499	8	104(2):188–192	104(2):188–192	NUM
ejpam-4351	499	9	,	,	PUNCT
ejpam-4351	499	10	2011	2011	NUM
ejpam-4351	499	11	.	.	PUNCT
ejpam-4351	500	1	[	[	X
ejpam-4351	500	2	22	22	NUM
ejpam-4351	500	3	]	]	X
ejpam-4351	500	4	didier	didier	PROPN
ejpam-4351	500	5	alain	alain	PROPN
ejpam-4351	500	6	njamen	njamen	PROPN
ejpam-4351	500	7	-	-	PUNCT
ejpam-4351	500	8	njomen	njoman	NOUN
ejpam-4351	500	9	and	and	CCONJ
ejpam-4351	500	10	joseph	joseph	PROPN
ejpam-4351	500	11	ngatchou	ngatchou	PROPN
ejpam-4351	500	12	-	-	PUNCT
ejpam-4351	500	13	wandji	wandji	PROPN
ejpam-4351	500	14	.	.	PUNCT
ejpam-4351	501	1	nelson	nelson	PROPN
ejpam-4351	501	2	-	-	PUNCT
ejpam-4351	501	3	aalen	aalen	VERB
ejpam-4351	501	4	and	and	CCONJ
ejpam-4351	501	5	kaplanmeier	kaplanmei	ADJ
ejpam-4351	501	6	estimators	estimator	NOUN
ejpam-4351	501	7	in	in	ADP
ejpam-4351	501	8	competing	compete	VERB
ejpam-4351	501	9	risks	risk	NOUN
ejpam-4351	501	10	.	.	PUNCT
ejpam-4351	502	1	applied	apply	VERB
ejpam-4351	502	2	mathematics	mathematic	NOUN
ejpam-4351	502	3	,	,	PUNCT
ejpam-4351	502	4	5(04):765	5(04):765	PROPN
ejpam-4351	502	5	,	,	PUNCT
ejpam-4351	502	6	2014	2014	NUM
ejpam-4351	502	7	.	.	PUNCT
ejpam-4351	503	1	[	[	X
ejpam-4351	503	2	23	23	NUM
ejpam-4351	503	3	]	]	X
ejpam-4351	503	4	didier	didier	PROPN
ejpam-4351	503	5	alain	alain	PROPN
ejpam-4351	503	6	njamen	njaman	NOUN
ejpam-4351	503	7	njomen	njoman	NOUN
ejpam-4351	503	8	,	,	PUNCT
ejpam-4351	503	9	thiery	thiery	ADJ
ejpam-4351	503	10	donfack	donfack	NOUN
ejpam-4351	503	11	,	,	PUNCT
ejpam-4351	503	12	and	and	CCONJ
ejpam-4351	503	13	donald	donald	PROPN
ejpam-4351	503	14	wandji	wandji	PROPN
ejpam-4351	503	15	tanguep	tanguep	NOUN
ejpam-4351	503	16	.	.	PUNCT
ejpam-4351	504	1	bayesian	bayesian	NOUN
ejpam-4351	504	2	estimation	estimation	NOUN
ejpam-4351	504	3	under	under	ADP
ejpam-4351	504	4	different	different	ADJ
ejpam-4351	504	5	loss	loss	NOUN
ejpam-4351	504	6	functions	function	NOUN
ejpam-4351	504	7	in	in	ADP
ejpam-4351	504	8	competitive	competitive	ADJ
ejpam-4351	504	9	risks	risk	NOUN
ejpam-4351	504	10	.	.	PUNCT
ejpam-4351	505	1	global	global	ADJ
ejpam-4351	505	2	journal	journal	NOUN
ejpam-4351	505	3	of	of	ADP
ejpam-4351	505	4	pure	pure	ADJ
ejpam-4351	505	5	and	and	CCONJ
ejpam-4351	505	6	applied	applied	ADJ
ejpam-4351	505	7	mathematics	mathematic	NOUN
ejpam-4351	505	8	,	,	PUNCT
ejpam-4351	505	9	17(2):113–139	17(2):113–139	NUM
ejpam-4351	505	10	,	,	PUNCT
ejpam-4351	505	11	2021	2021	NUM
ejpam-4351	505	12	.	.	PUNCT
ejpam-4351	506	1	[	[	X
ejpam-4351	506	2	24	24	NUM
ejpam-4351	506	3	]	]	X
ejpam-4351	506	4	hassan	hassan	PROPN
ejpam-4351	506	5	m	m	PROPN
ejpam-4351	506	6	okasha	okasha	PROPN
ejpam-4351	506	7	.	.	PUNCT
ejpam-4351	507	1	e	e	X
ejpam-4351	507	2	-	-	NOUN
ejpam-4351	507	3	bayesian	bayesian	ADJ
ejpam-4351	507	4	estimation	estimation	NOUN
ejpam-4351	507	5	for	for	ADP
ejpam-4351	507	6	the	the	DET
ejpam-4351	507	7	lomax	lomax	PROPN
ejpam-4351	507	8	distribution	distribution	NOUN
ejpam-4351	507	9	based	base	VERB
ejpam-4351	507	10	on	on	ADP
ejpam-4351	507	11	type	type	NOUN
ejpam-4351	507	12	-	-	PUNCT
ejpam-4351	507	13	ii	ii	NOUN
ejpam-4351	507	14	censored	censor	VERB
ejpam-4351	507	15	data	datum	NOUN
ejpam-4351	507	16	.	.	PUNCT
ejpam-4351	508	1	journal	journal	PROPN
ejpam-4351	508	2	of	of	ADP
ejpam-4351	508	3	the	the	DET
ejpam-4351	508	4	egyptian	egyptian	PROPN
ejpam-4351	508	5	mathematical	mathematical	PROPN
ejpam-4351	508	6	society	society	NOUN
ejpam-4351	508	7	,	,	PUNCT
ejpam-4351	508	8	22(3):489–495	22(3):489–495	NUM
ejpam-4351	508	9	,	,	PUNCT
ejpam-4351	508	10	2014	2014	NUM
ejpam-4351	508	11	.	.	PUNCT
ejpam-4351	509	1	[	[	X
ejpam-4351	509	2	25	25	NUM
ejpam-4351	509	3	]	]	X
ejpam-4351	509	4	hassan	hassan	PROPN
ejpam-4351	509	5	m	m	PROPN
ejpam-4351	509	6	okasha	okasha	PROPN
ejpam-4351	509	7	,	,	PUNCT
ejpam-4351	509	8	heba	heba	PROPN
ejpam-4351	509	9	s	s	PROPN
ejpam-4351	509	10	mohammed	mohammed	PROPN
ejpam-4351	509	11	,	,	PUNCT
ejpam-4351	509	12	and	and	CCONJ
ejpam-4351	509	13	yuhlong	yuhlong	PROPN
ejpam-4351	509	14	lio	lio	PROPN
ejpam-4351	509	15	.	.	PUNCT
ejpam-4351	510	1	e	e	X
ejpam-4351	510	2	-	-	NOUN
ejpam-4351	510	3	bayesian	bayesian	ADJ
ejpam-4351	510	4	estimation	estimation	NOUN
ejpam-4351	510	5	of	of	ADP
ejpam-4351	510	6	reliability	reliability	NOUN
ejpam-4351	510	7	characteristics	characteristic	NOUN
ejpam-4351	510	8	of	of	ADP
ejpam-4351	510	9	a	a	DET
ejpam-4351	510	10	weibull	weibull	NOUN
ejpam-4351	510	11	distribution	distribution	NOUN
ejpam-4351	510	12	with	with	ADP
ejpam-4351	510	13	applications	application	NOUN
ejpam-4351	510	14	.	.	PUNCT
ejpam-4351	511	1	mathematics	mathematic	NOUN
ejpam-4351	511	2	,	,	PUNCT
ejpam-4351	511	3	9(11):1261	9(11):1261	NUM
ejpam-4351	511	4	,	,	PUNCT
ejpam-4351	511	5	2021	2021	NUM
ejpam-4351	511	6	.	.	PUNCT
ejpam-4351	512	1	references	reference	NOUN
ejpam-4351	512	2	773	773	NUM
ejpam-4351	513	1	[	[	X
ejpam-4351	513	2	26	26	NUM
ejpam-4351	513	3	]	]	X
ejpam-4351	513	4	frank	frank	PROPN
ejpam-4351	513	5	b	b	PROPN
ejpam-4351	513	6	osei	osei	PROPN
ejpam-4351	513	7	,	,	PUNCT
ejpam-4351	513	8	alfred	alfre	VERB
ejpam-4351	513	9	a	a	DET
ejpam-4351	513	10	duker	duker	NOUN
ejpam-4351	513	11	,	,	PUNCT
ejpam-4351	513	12	and	and	CCONJ
ejpam-4351	513	13	alfred	alfred	PROPN
ejpam-4351	513	14	stein	stein	PROPN
ejpam-4351	513	15	.	.	PUNCT
ejpam-4351	514	1	hierarchical	hierarchical	ADJ
ejpam-4351	514	2	bayesian	bayesian	NOUN
ejpam-4351	514	3	modeling	modeling	NOUN
ejpam-4351	514	4	of	of	ADP
ejpam-4351	514	5	the	the	DET
ejpam-4351	514	6	space	space	NOUN
ejpam-4351	514	7	-	-	PUNCT
ejpam-4351	514	8	time	time	NOUN
ejpam-4351	514	9	diffusion	diffusion	NOUN
ejpam-4351	514	10	patterns	pattern	NOUN
ejpam-4351	514	11	of	of	ADP
ejpam-4351	514	12	cholera	cholera	NOUN
ejpam-4351	514	13	epidemic	epidemic	NOUN
ejpam-4351	514	14	in	in	ADP
ejpam-4351	514	15	kumasi	kumasi	PROPN
ejpam-4351	514	16	,	,	PUNCT
ejpam-4351	514	17	ghana	ghana	PROPN
ejpam-4351	514	18	.	.	PUNCT
ejpam-4351	515	1	statistica	statistica	PROPN
ejpam-4351	515	2	neerlandica	neerlandica	PROPN
ejpam-4351	515	3	,	,	PUNCT
ejpam-4351	515	4	65(1):84–100	65(1):84–100	PROPN
ejpam-4351	515	5	,	,	PUNCT
ejpam-4351	515	6	2011	2011	NUM
ejpam-4351	515	7	.	.	PUNCT
ejpam-4351	516	1	[	[	X
ejpam-4351	516	2	27	27	NUM
ejpam-4351	516	3	]	]	X
ejpam-4351	516	4	christian	christian	PROPN
ejpam-4351	516	5	p	p	PROPN
ejpam-4351	516	6	robert	robert	PROPN
ejpam-4351	516	7	.	.	PUNCT
ejpam-4351	516	8	l’analyse	l’analyse	PROPN
ejpam-4351	516	9	statistique	statistique	PROPN
ejpam-4351	516	10	bayésienne	bayésienne	PROPN
ejpam-4351	516	11	.	.	PROPN
ejpam-4351	517	1	economica	economica	PROPN
ejpam-4351	517	2	,	,	PUNCT
ejpam-4351	517	3	1992	1992	NUM
ejpam-4351	517	4	.	.	PUNCT
ejpam-4351	518	1	[	[	X
ejpam-4351	518	2	28	28	NUM
ejpam-4351	518	3	]	]	X
ejpam-4351	518	4	christian	christian	PROPN
ejpam-4351	518	5	p	p	PROPN
ejpam-4351	518	6	robert	robert	PROPN
ejpam-4351	518	7	.	.	PUNCT
ejpam-4351	519	1	the	the	DET
ejpam-4351	519	2	bayesian	bayesian	NOUN
ejpam-4351	519	3	choice	choice	NOUN
ejpam-4351	519	4	:	:	PUNCT
ejpam-4351	519	5	from	from	ADP
ejpam-4351	519	6	decision	decision	NOUN
ejpam-4351	519	7	-	-	PUNCT
ejpam-4351	519	8	theoretic	theoretic	NOUN
ejpam-4351	519	9	foundations	foundation	NOUN
ejpam-4351	519	10	to	to	ADP
ejpam-4351	519	11	computational	computational	ADJ
ejpam-4351	519	12	implementation	implementation	NOUN
ejpam-4351	519	13	.	.	PUNCT
ejpam-4351	520	1	technical	technical	ADJ
ejpam-4351	520	2	report	report	PROPN
ejpam-4351	520	3	,	,	PUNCT
ejpam-4351	520	4	2001	2001	NUM
ejpam-4351	520	5	.	.	PUNCT
ejpam-4351	521	1	[	[	X
ejpam-4351	521	2	29	29	NUM
ejpam-4351	521	3	]	]	X
ejpam-4351	521	4	serge	serge	PROPN
ejpam-4351	521	5	ma	ma	PROPN
ejpam-4351	521	6	somda	somda	PROPN
ejpam-4351	521	7	,	,	PUNCT
ejpam-4351	521	8	eve	eve	PROPN
ejpam-4351	521	9	leconte	leconte	PROPN
ejpam-4351	521	10	,	,	PUNCT
ejpam-4351	521	11	andrew	andrew	PROPN
ejpam-4351	521	12	kramar	kramar	PROPN
ejpam-4351	521	13	,	,	PUNCT
ejpam-4351	521	14	nicolas	nicolas	PROPN
ejpam-4351	521	15	penel	penel	PROPN
ejpam-4351	521	16	,	,	PUNCT
ejpam-4351	521	17	christine	christine	PROPN
ejpam-4351	521	18	chevreau	chevreau	PROPN
ejpam-4351	521	19	,	,	PUNCT
ejpam-4351	521	20	martine	martine	PROPN
ejpam-4351	521	21	delannes	delannes	PROPN
ejpam-4351	521	22	,	,	PUNCT
ejpam-4351	521	23	maria	maria	PROPN
ejpam-4351	521	24	rios	rios	PROPN
ejpam-4351	521	25	,	,	PUNCT
ejpam-4351	521	26	and	and	CCONJ
ejpam-4351	521	27	thomas	thomas	PROPN
ejpam-4351	521	28	filleron	filleron	PROPN
ejpam-4351	521	29	.	.	PUNCT
ejpam-4351	522	1	determining	determine	VERB
ejpam-4351	522	2	the	the	DET
ejpam-4351	522	3	length	length	NOUN
ejpam-4351	522	4	of	of	ADP
ejpam-4351	522	5	posttherapeutic	posttherapeutic	ADJ
ejpam-4351	522	6	follow	follow	NOUN
ejpam-4351	522	7	-	-	PUNCT
ejpam-4351	522	8	up	up	NOUN
ejpam-4351	522	9	for	for	ADP
ejpam-4351	522	10	cancer	cancer	NOUN
ejpam-4351	522	11	patients	patient	NOUN
ejpam-4351	522	12	using	use	VERB
ejpam-4351	522	13	competing	compete	VERB
ejpam-4351	522	14	risks	risk	NOUN
ejpam-4351	522	15	modeling	modeling	NOUN
ejpam-4351	522	16	.	.	PUNCT
ejpam-4351	523	1	medical	medical	ADJ
ejpam-4351	523	2	decision	decision	NOUN
ejpam-4351	523	3	making	making	NOUN
ejpam-4351	523	4	,	,	PUNCT
ejpam-4351	523	5	34(2):168–179	34(2):168–179	PROPN
ejpam-4351	523	6	,	,	PUNCT
ejpam-4351	523	7	2014	2014	NUM
ejpam-4351	523	8	.	.	PUNCT
ejpam-4351	524	1	[	[	X
ejpam-4351	524	2	30	30	NUM
ejpam-4351	524	3	]	]	PUNCT
ejpam-4351	524	4	zq	zq	PROPN
ejpam-4351	524	5	wang	wang	PROPN
ejpam-4351	524	6	and	and	CCONJ
ejpam-4351	524	7	dh	dh	PROPN
ejpam-4351	524	8	wang	wang	PROPN
ejpam-4351	524	9	.	.	PUNCT
ejpam-4351	525	1	estimation	estimation	NOUN
ejpam-4351	525	2	of	of	ADP
ejpam-4351	525	3	scale	scale	NOUN
ejpam-4351	525	4	parameter	parameter	NOUN
ejpam-4351	525	5	the	the	DET
ejpam-4351	525	6	normal	normal	ADJ
ejpam-4351	525	7	distribution	distribution	NOUN
ejpam-4351	525	8	under	under	ADP
ejpam-4351	525	9	a	a	DET
ejpam-4351	525	10	symmetry	symmetry	NOUN
ejpam-4351	525	11	loss	loss	NOUN
ejpam-4351	525	12	function	function	NOUN
ejpam-4351	525	13	.	.	PUNCT
ejpam-4351	526	1	acta	acta	PROPN
ejpam-4351	526	2	math	math	PROPN
ejpam-4351	526	3	appl	appl	PROPN
ejpam-4351	526	4	sin	sin	PROPN
ejpam-4351	526	5	,	,	PUNCT
ejpam-4351	526	6	27(2):310–323	27(2):310–323	PROPN
ejpam-4351	526	7	,	,	PUNCT
ejpam-4351	526	8	2004	2004	NUM
ejpam-4351	526	9	.	.	PUNCT
ejpam-4351	527	1	[	[	X
ejpam-4351	527	2	31	31	NUM
ejpam-4351	527	3	]	]	X
ejpam-4351	527	4	matthew	matthew	PROPN
ejpam-4351	527	5	witten	witten	PROPN
ejpam-4351	527	6	and	and	CCONJ
ejpam-4351	527	7	william	william	PROPN
ejpam-4351	527	8	satzer	satzer	PROPN
ejpam-4351	527	9	.	.	PUNCT
ejpam-4351	528	1	gompertz	gompertz	PROPN
ejpam-4351	528	2	survival	survival	PROPN
ejpam-4351	528	3	model	model	PROPN
ejpam-4351	528	4	parameters	parameter	NOUN
ejpam-4351	528	5	:	:	PUNCT
ejpam-4351	528	6	estimation	estimation	NOUN
ejpam-4351	528	7	and	and	CCONJ
ejpam-4351	528	8	sensitivity	sensitivity	NOUN
ejpam-4351	528	9	.	.	PUNCT
ejpam-4351	529	1	applied	apply	VERB
ejpam-4351	529	2	mathematics	mathematics	NOUN
ejpam-4351	529	3	letters	letter	NOUN
ejpam-4351	529	4	,	,	PUNCT
ejpam-4351	529	5	5(1):7–12	5(1):7–12	NUM
ejpam-4351	529	6	,	,	PUNCT
ejpam-4351	529	7	1992	1992	NUM
ejpam-4351	529	8	.	.	PUNCT
ejpam-4351	530	1	[	[	X
ejpam-4351	530	2	32	32	NUM
ejpam-4351	530	3	]	]	SYM
ejpam-4351	530	4	min	min	PROPN
ejpam-4351	530	5	wu	wu	PROPN
ejpam-4351	530	6	,	,	PUNCT
ejpam-4351	530	7	yimin	yimin	PROPN
ejpam-4351	530	8	shi	shi	PROPN
ejpam-4351	530	9	,	,	PUNCT
ejpam-4351	530	10	and	and	CCONJ
ejpam-4351	530	11	yan	yan	PROPN
ejpam-4351	530	12	wang	wang	PROPN
ejpam-4351	530	13	.	.	PUNCT
ejpam-4351	531	1	e	e	X
ejpam-4351	531	2	-	-	NOUN
ejpam-4351	531	3	bayesian	bayesian	ADJ
ejpam-4351	531	4	estimation	estimation	NOUN
ejpam-4351	531	5	for	for	ADP
ejpam-4351	531	6	competing	compete	VERB
ejpam-4351	531	7	risk	risk	NOUN
ejpam-4351	531	8	model	model	NOUN
ejpam-4351	531	9	under	under	ADP
ejpam-4351	531	10	progressively	progressively	ADV
ejpam-4351	531	11	hybrid	hybrid	ADJ
ejpam-4351	531	12	censoring	censor	VERB
ejpam-4351	531	13	.	.	PUNCT
ejpam-4351	532	1	journal	journal	PROPN
ejpam-4351	532	2	of	of	ADP
ejpam-4351	532	3	systems	system	NOUN
ejpam-4351	532	4	engineering	engineering	NOUN
ejpam-4351	532	5	and	and	CCONJ
ejpam-4351	532	6	electronics	electronic	NOUN
ejpam-4351	532	7	,	,	PUNCT
ejpam-4351	532	8	27(4):936–944	27(4):936–944	NUM
ejpam-4351	532	9	,	,	PUNCT
ejpam-4351	532	10	2016	2016	NUM
ejpam-4351	532	11	.	.	PUNCT
ejpam-4351	533	1	[	[	X
ejpam-4351	533	2	33	33	NUM
ejpam-4351	533	3	]	]	X
ejpam-4351	533	4	f	f	PROPN
ejpam-4351	533	5	yousefzadeh	yousefzadeh	PROPN
ejpam-4351	533	6	.	.	PUNCT
ejpam-4351	534	1	e	e	X
ejpam-4351	534	2	-	-	NOUN
ejpam-4351	534	3	bayesian	bayesian	ADJ
ejpam-4351	534	4	and	and	CCONJ
ejpam-4351	534	5	hierarchical	hierarchical	ADJ
ejpam-4351	534	6	bayesian	bayesian	NOUN
ejpam-4351	534	7	estimations	estimation	NOUN
ejpam-4351	534	8	for	for	ADP
ejpam-4351	534	9	the	the	DET
ejpam-4351	534	10	system	system	NOUN
ejpam-4351	534	11	reliability	reliability	NOUN
ejpam-4351	534	12	parameter	parameter	NOUN
ejpam-4351	534	13	based	base	VERB
ejpam-4351	534	14	on	on	ADP
ejpam-4351	534	15	asymmetric	asymmetric	ADJ
ejpam-4351	534	16	loss	loss	NOUN
ejpam-4351	534	17	function	function	NOUN
ejpam-4351	534	18	.	.	PUNCT
ejpam-4351	535	1	communications	communication	NOUN
ejpam-4351	535	2	in	in	ADP
ejpam-4351	535	3	statisticstheory	statisticstheory	NOUN
ejpam-4351	535	4	and	and	CCONJ
ejpam-4351	535	5	methods	method	NOUN
ejpam-4351	535	6	,	,	PUNCT
ejpam-4351	535	7	46(1):1–8	46(1):1–8	NOUN
ejpam-4351	535	8	,	,	PUNCT
ejpam-4351	535	9	2017	2017	NUM
ejpam-4351	535	10	.	.	PUNCT