id	sid	tid	token	lemma	pos
fbem-20492	1	1	frontiers	frontier	NOUN
fbem-20492	1	2	in	in	ADP
fbem-20492	1	3	business	business	NOUN
fbem-20492	1	4	,	,	PUNCT
fbem-20492	1	5	economics	economic	NOUN
fbem-20492	1	6	and	and	CCONJ
fbem-20492	1	7	management	management	NOUN
fbem-20492	1	8	issn	issn	PROPN
fbem-20492	1	9	:	:	PUNCT
fbem-20492	1	10	2766	2766	NUM
fbem-20492	1	11	-	-	PUNCT
fbem-20492	1	12	824x	824x	NUM
fbem-20492	1	13	|	|	ADJ
fbem-20492	1	14	vol	vol	NOUN
fbem-20492	1	15	.	.	PUNCT
fbem-20492	2	1	14	14	NUM
fbem-20492	2	2	,	,	PUNCT
fbem-20492	2	3	no	no	INTJ
fbem-20492	2	4	.	.	NOUN
fbem-20492	2	5	3	3	NUM
fbem-20492	2	6	,	,	PUNCT
fbem-20492	2	7	2024	2024	NUM
fbem-20492	2	8	231	231	NUM
fbem-20492	2	9	empirical	empirical	ADJ
fbem-20492	2	10	bayes	bayes	NOUN
fbem-20492	2	11	likelihood	likelihood	NOUN
fbem-20492	2	12	for	for	ADP
fbem-20492	2	13	distrubition	distrubition	NOUN
fbem-20492	2	14	family	family	NOUN
fbem-20492	2	15	based	base	VERB
fbem-20492	2	16	on	on	ADP
fbem-20492	2	17	ranked	rank	VERB
fbem-20492	2	18	set	set	NOUN
fbem-20492	2	19	sampling	sample	VERB
fbem-20492	2	20	naiyi	naiyi	PROPN
fbem-20492	2	21	li1	li1	NOUN
fbem-20492	2	22	,	,	PUNCT
fbem-20492	2	23	yongming	yongming	PROPN
fbem-20492	2	24	li2	li2	PROPN
fbem-20492	2	25	,	,	PUNCT
fbem-20492	2	26	juan	juan	PROPN
fbem-20492	2	27	huang1	huang1	PROPN
fbem-20492	2	28	,	,	PUNCT
fbem-20492	2	29	*	*	PUNCT
fbem-20492	3	1	1school	1school	NUM
fbem-20492	3	2	of	of	ADP
fbem-20492	3	3	mathematics	mathematic	NOUN
fbem-20492	3	4	and	and	CCONJ
fbem-20492	3	5	computer	computer	NOUN
fbem-20492	3	6	,	,	PUNCT
fbem-20492	3	7	guangdong	guangdong	PROPN
fbem-20492	3	8	ocean	ocean	PROPN
fbem-20492	3	9	university	university	PROPN
fbem-20492	3	10	,	,	PUNCT
fbem-20492	3	11	zhanjiang	zhanjiang	PROPN
fbem-20492	3	12	524088	524088	NUM
fbem-20492	3	13	,	,	PUNCT
fbem-20492	3	14	china	china	PROPN
fbem-20492	3	15	2school	2school	NUM
fbem-20492	3	16	of	of	ADP
fbem-20492	3	17	mathematics	mathematic	NOUN
fbem-20492	3	18	and	and	CCONJ
fbem-20492	3	19	computer	computer	NOUN
fbem-20492	3	20	science	science	NOUN
fbem-20492	3	21	,	,	PUNCT
fbem-20492	3	22	shang	shang	PROPN
fbem-20492	3	23	rao	rao	PROPN
fbem-20492	3	24	normal	normal	PROPN
fbem-20492	3	25	university	university	PROPN
fbem-20492	3	26	shang	shang	PROPN
fbem-20492	3	27	rao	rao	PROPN
fbem-20492	3	28	,	,	PUNCT
fbem-20492	3	29	334001	334001	NUM
fbem-20492	3	30	,	,	PUNCT
fbem-20492	3	31	china	china	PROPN
fbem-20492	3	32	*	*	PUNCT
fbem-20492	3	33	corresponding	correspond	VERB
fbem-20492	3	34	author	author	NOUN
fbem-20492	3	35	:	:	PUNCT
fbem-20492	3	36	juan	juan	PROPN
fbem-20492	3	37	huang	huang	PROPN
fbem-20492	3	38	abstract	abstract	PROPN
fbem-20492	3	39	:	:	PUNCT
fbem-20492	3	40	in	in	ADP
fbem-20492	3	41	empirical	empirical	ADJ
fbem-20492	3	42	likelihood	likelihood	NOUN
fbem-20492	3	43	methods	method	NOUN
fbem-20492	3	44	,	,	PUNCT
fbem-20492	3	45	the	the	DET
fbem-20492	3	46	key	key	NOUN
fbem-20492	3	47	to	to	ADP
fbem-20492	3	48	constructing	construct	VERB
fbem-20492	3	49	a	a	DET
fbem-20492	3	50	likelihood	likelihood	NOUN
fbem-20492	3	51	function	function	NOUN
fbem-20492	3	52	is	be	AUX
fbem-20492	3	53	to	to	PART
fbem-20492	3	54	find	find	VERB
fbem-20492	3	55	a	a	DET
fbem-20492	3	56	suitable	suitable	ADJ
fbem-20492	3	57	weight	weight	NOUN
fbem-20492	3	58	scheme	scheme	NOUN
fbem-20492	3	59	that	that	PRON
fbem-20492	3	60	reflects	reflect	VERB
fbem-20492	3	61	the	the	DET
fbem-20492	3	62	importance	importance	NOUN
fbem-20492	3	63	of	of	ADP
fbem-20492	3	64	data	datum	NOUN
fbem-20492	3	65	.	.	PUNCT
fbem-20492	4	1	these	these	DET
fbem-20492	4	2	weights	weight	NOUN
fbem-20492	4	3	are	be	AUX
fbem-20492	4	4	usually	usually	ADV
fbem-20492	4	5	limited	limit	VERB
fbem-20492	4	6	by	by	ADP
fbem-20492	4	7	some	some	DET
fbem-20492	4	8	constraints	constraint	NOUN
fbem-20492	4	9	.	.	PUNCT
fbem-20492	5	1	by	by	ADP
fbem-20492	5	2	maximizing	maximize	VERB
fbem-20492	5	3	this	this	DET
fbem-20492	5	4	likelihood	likelihood	NOUN
fbem-20492	5	5	function	function	NOUN
fbem-20492	5	6	,	,	PUNCT
fbem-20492	5	7	we	we	PRON
fbem-20492	5	8	can	can	AUX
fbem-20492	5	9	obtain	obtain	VERB
fbem-20492	5	10	estimates	estimate	NOUN
fbem-20492	5	11	of	of	ADP
fbem-20492	5	12	the	the	DET
fbem-20492	5	13	parameters	parameter	NOUN
fbem-20492	5	14	and	and	CCONJ
fbem-20492	5	15	perform	perform	VERB
fbem-20492	5	16	corresponding	correspond	VERB
fbem-20492	5	17	hypothesis	hypothesis	NOUN
fbem-20492	5	18	tests	test	NOUN
fbem-20492	5	19	,	,	PUNCT
fbem-20492	5	20	in	in	ADP
fbem-20492	5	21	this	this	DET
fbem-20492	5	22	paper	paper	NOUN
fbem-20492	5	23	,	,	PUNCT
fbem-20492	5	24	we	we	PRON
fbem-20492	5	25	get	get	VERB
fbem-20492	5	26	the	the	DET
fbem-20492	5	27	empirical	empirical	ADJ
fbem-20492	5	28	bayes	bayes	NOUN
fbem-20492	5	29	likelihood	likelihood	PROPN
fbem-20492	5	30	test	test	NOUN
fbem-20492	5	31	rules	rule	NOUN
fbem-20492	5	32	for	for	ADP
fbem-20492	5	33	distribution	distribution	NOUN
fbem-20492	5	34	based	base	VERB
fbem-20492	5	35	on	on	ADP
fbem-20492	5	36	ranked	rank	VERB
fbem-20492	5	37	set	set	ADJ
fbem-20492	5	38	sampling	sampling	NOUN
fbem-20492	5	39	.	.	PUNCT
fbem-20492	6	1	its	its	PRON
fbem-20492	6	2	asymptotic	asymptotic	ADJ
fbem-20492	6	3	optimality	optimality	NOUN
fbem-20492	6	4	is	be	AUX
fbem-20492	6	5	obtained	obtain	VERB
fbem-20492	6	6	.	.	PUNCT
fbem-20492	7	1	keywords	keyword	NOUN
fbem-20492	7	2	:	:	PUNCT
fbem-20492	7	3	empirical	empirical	ADJ
fbem-20492	7	4	bayes	bayes	PROPN
fbem-20492	7	5	likelihood	likelihood	NOUN
fbem-20492	7	6	,	,	PUNCT
fbem-20492	7	7	ranked	rank	VERB
fbem-20492	7	8	set	set	ADJ
fbem-20492	7	9	sampling	sampling	NOUN
fbem-20492	7	10	.	.	PUNCT
fbem-20492	8	1	1	1	X
fbem-20492	8	2	.	.	X
fbem-20492	8	3	introduction	introduction	NOUN
fbem-20492	8	4	empirical	empirical	ADJ
fbem-20492	8	5	likelihood	likelihood	NOUN
fbem-20492	8	6	method	method	NOUN
fbem-20492	8	7	is	be	AUX
fbem-20492	8	8	a	a	DET
fbem-20492	8	9	statistical	statistical	ADJ
fbem-20492	8	10	inference	inference	NOUN
fbem-20492	8	11	method	method	NOUN
fbem-20492	8	12	aimed	aim	VERB
fbem-20492	8	13	at	at	ADP
fbem-20492	8	14	constructing	construct	VERB
fbem-20492	8	15	the	the	DET
fbem-20492	8	16	likelihood	likelihood	NOUN
fbem-20492	8	17	function	function	NOUN
fbem-20492	8	18	of	of	ADP
fbem-20492	8	19	data	datum	NOUN
fbem-20492	8	20	in	in	ADP
fbem-20492	8	21	a	a	DET
fbem-20492	8	22	non	non	ADJ
fbem-20492	8	23	parametric	parametric	ADJ
fbem-20492	8	24	manner	manner	NOUN
fbem-20492	8	25	for	for	ADP
fbem-20492	8	26	parameter	parameter	NOUN
fbem-20492	8	27	estimation	estimation	NOUN
fbem-20492	8	28	and	and	CCONJ
fbem-20492	8	29	hypothesis	hypothesis	NOUN
fbem-20492	8	30	testing	testing	NOUN
fbem-20492	8	31	.	.	PUNCT
fbem-20492	9	1	this	this	DET
fbem-20492	9	2	method	method	NOUN
fbem-20492	9	3	was	be	AUX
fbem-20492	9	4	initially	initially	ADV
fbem-20492	9	5	proposed	propose	VERB
fbem-20492	9	6	by	by	ADP
fbem-20492	9	7	thomas	thomas	PROPN
fbem-20492	9	8	and	and	CCONJ
fbem-20492	9	9	grunkemeier	grunkemeier	NOUN
fbem-20492	9	10	and	and	CCONJ
fbem-20492	9	11	further	far	ADV
fbem-20492	9	12	developed	develop	VERB
fbem-20492	9	13	by	by	ADP
fbem-20492	9	14	owen	owen	PROPN
fbem-20492	9	15	.	.	PUNCT
fbem-20492	10	1	the	the	DET
fbem-20492	10	2	main	main	ADJ
fbem-20492	10	3	advantage	advantage	NOUN
fbem-20492	10	4	of	of	ADP
fbem-20492	10	5	the	the	DET
fbem-20492	10	6	empirical	empirical	ADJ
fbem-20492	10	7	likelihood	likelihood	NOUN
fbem-20492	10	8	method	method	NOUN
fbem-20492	10	9	is	be	AUX
fbem-20492	10	10	that	that	SCONJ
fbem-20492	10	11	it	it	PRON
fbem-20492	10	12	does	do	AUX
fbem-20492	10	13	not	not	PART
fbem-20492	10	14	require	require	VERB
fbem-20492	10	15	any	any	DET
fbem-20492	10	16	assumptions	assumption	NOUN
fbem-20492	10	17	about	about	ADP
fbem-20492	10	18	the	the	DET
fbem-20492	10	19	distribution	distribution	NOUN
fbem-20492	10	20	of	of	ADP
fbem-20492	10	21	data	datum	NOUN
fbem-20492	10	22	,	,	PUNCT
fbem-20492	10	23	thus	thus	ADV
fbem-20492	10	24	having	have	VERB
fbem-20492	10	25	robustness	robustness	NOUN
fbem-20492	10	26	.	.	PUNCT
fbem-20492	11	1	[	[	X
fbem-20492	11	2	1	1	NUM
fbem-20492	11	3	-	-	SYM
fbem-20492	11	4	7	7	NUM
fbem-20492	11	5	]	]	PUNCT
fbem-20492	11	6	.	.	PUNCT
fbem-20492	12	1	ranked	rank	VERB
fbem-20492	12	2	set	set	ADJ
fbem-20492	12	3	sampling	sampling	NOUN
fbem-20492	12	4	(	(	PUNCT
fbem-20492	12	5	rss	rss	NOUN
fbem-20492	12	6	)	)	PUNCT
fbem-20492	12	7	is	be	AUX
fbem-20492	12	8	a	a	DET
fbem-20492	12	9	statistical	statistical	ADJ
fbem-20492	12	10	sampling	sampling	NOUN
fbem-20492	12	11	method	method	NOUN
fbem-20492	12	12	that	that	PRON
fbem-20492	12	13	improves	improve	VERB
fbem-20492	12	14	sampling	sample	VERB
fbem-20492	12	15	efficiency	efficiency	NOUN
fbem-20492	12	16	to	to	ADP
fbem-20492	12	17	a	a	DET
fbem-20492	12	18	certain	certain	ADJ
fbem-20492	12	19	extent	extent	NOUN
fbem-20492	12	20	,	,	PUNCT
fbem-20492	12	21	reduces	reduce	VERB
fbem-20492	12	22	experimental	experimental	ADJ
fbem-20492	12	23	costs	cost	NOUN
fbem-20492	12	24	,	,	PUNCT
fbem-20492	12	25	and	and	CCONJ
fbem-20492	12	26	is	be	AUX
fbem-20492	12	27	particularly	particularly	ADV
fbem-20492	12	28	suitable	suitable	ADJ
fbem-20492	12	29	for	for	ADP
fbem-20492	12	30	situations	situation	NOUN
fbem-20492	12	31	where	where	SCONJ
fbem-20492	12	32	samples	sample	NOUN
fbem-20492	12	33	are	be	AUX
fbem-20492	12	34	easy	easy	ADJ
fbem-20492	12	35	to	to	PART
fbem-20492	12	36	sort	sort	VERB
fbem-20492	12	37	but	but	CCONJ
fbem-20492	12	38	not	not	PART
fbem-20492	12	39	easy	easy	ADJ
fbem-20492	12	40	to	to	ADP
fbem-20492	12	41	quantify[8	quantify[8	NOUN
fbem-20492	12	42	]	]	X
fbem-20492	12	43	.	.	PUNCT
fbem-20492	13	1	the	the	DET
fbem-20492	13	2	sorting	sort	VERB
fbem-20492	13	3	set	set	VERB
fbem-20492	13	4	sampling	sampling	NOUN
fbem-20492	13	5	method	method	NOUN
fbem-20492	13	6	is	be	AUX
fbem-20492	13	7	divided	divide	VERB
fbem-20492	13	8	into	into	ADP
fbem-20492	13	9	balanced	balanced	ADJ
fbem-20492	13	10	sorting	sort	VERB
fbem-20492	13	11	set	set	VERB
fbem-20492	13	12	sampling	sampling	NOUN
fbem-20492	13	13	and	and	CCONJ
fbem-20492	13	14	unbalanced	unbalanced	ADJ
fbem-20492	13	15	sorting	sort	VERB
fbem-20492	13	16	set	set	NOUN
fbem-20492	13	17	sampling	sampling	NOUN
fbem-20492	13	18	.	.	PUNCT
fbem-20492	14	1	the	the	DET
fbem-20492	14	2	process	process	NOUN
fbem-20492	14	3	of	of	ADP
fbem-20492	14	4	balanced	balanced	ADJ
fbem-20492	14	5	sorting	sort	VERB
fbem-20492	14	6	set	set	NOUN
fbem-20492	14	7	sampling	sampling	NOUN
fbem-20492	14	8	is	be	AUX
fbem-20492	14	9	as	as	SCONJ
fbem-20492	14	10	follows	follow	VERB
fbem-20492	14	11	:	:	PUNCT
fbem-20492	14	12	randomly	randomly	ADV
fbem-20492	14	13	select	select	ADJ
fbem-20492	14	14	samples	sample	NOUN
fbem-20492	14	15	with	with	ADP
fbem-20492	14	16	a	a	DET
fbem-20492	14	17	capacity	capacity	NOUN
fbem-20492	14	18	of	of	ADP
fbem-20492	14	19	the	the	DET
fbem-20492	14	20	2k	2k	NUM
fbem-20492	14	21	sample	sample	NOUN
fbem-20492	14	22	from	from	ADP
fbem-20492	14	23	the	the	DET
fbem-20492	14	24	population	population	NOUN
fbem-20492	14	25	and	and	CCONJ
fbem-20492	14	26	divide	divide	VERB
fbem-20492	14	27	them	they	PRON
fbem-20492	14	28	into	into	ADP
fbem-20492	14	29	k	k	PROPN
fbem-20492	14	30	groups	group	NOUN
fbem-20492	14	31	,	,	PUNCT
fbem-20492	14	32	each	each	PRON
fbem-20492	14	33	containing	contain	VERB
fbem-20492	14	34	k	k	PROPN
fbem-20492	14	35	individuals.sort	individuals.sort	PROPN
fbem-20492	14	36	each	each	DET
fbem-20492	14	37	group	group	NOUN
fbem-20492	14	38	of	of	ADP
fbem-20492	14	39	sample	sample	NOUN
fbem-20492	14	40	individuals	individual	NOUN
fbem-20492	14	41	in	in	ADP
fbem-20492	14	42	ascending	ascend	VERB
fbem-20492	14	43	order	order	NOUN
fbem-20492	14	44	using	use	VERB
fbem-20492	14	45	visual	visual	ADJ
fbem-20492	14	46	or	or	CCONJ
fbem-20492	14	47	other	other	ADJ
fbem-20492	14	48	intuitive	intuitive	ADJ
fbem-20492	14	49	information.extract	information.extract	ADJ
fbem-20492	14	50	individuals	individual	NOUN
fbem-20492	14	51	from	from	ADP
fbem-20492	14	52	each	each	DET
fbem-20492	14	53	group	group	NOUN
fbem-20492	14	54	of	of	ADP
fbem-20492	14	55	samples	sample	NOUN
fbem-20492	14	56	arranged	arrange	VERB
fbem-20492	14	57	in	in	ADP
fbem-20492	14	58	order	order	NOUN
fbem-20492	14	59	:	:	PUNCT
fbem-20492	14	60	select	select	VERB
fbem-20492	14	61	the	the	DET
fbem-20492	14	62	individual	individual	NOUN
fbem-20492	14	63	with	with	ADP
fbem-20492	14	64	the	the	DET
fbem-20492	14	65	smallest	small	ADJ
fbem-20492	14	66	order	order	NOUN
fbem-20492	14	67	from	from	ADP
fbem-20492	14	68	the	the	DET
fbem-20492	14	69	first	first	ADJ
fbem-20492	14	70	group	group	NOUN
fbem-20492	14	71	of	of	ADP
fbem-20492	14	72	samples	sample	NOUN
fbem-20492	14	73	,	,	PUNCT
fbem-20492	14	74	select	select	VERB
fbem-20492	14	75	the	the	DET
fbem-20492	14	76	individual	individual	NOUN
fbem-20492	14	77	with	with	ADP
fbem-20492	14	78	the	the	DET
fbem-20492	14	79	second	second	ADJ
fbem-20492	14	80	order	order	NOUN
fbem-20492	14	81	from	from	ADP
fbem-20492	14	82	the	the	DET
fbem-20492	14	83	second	second	ADJ
fbem-20492	14	84	group	group	NOUN
fbem-20492	14	85	of	of	ADP
fbem-20492	14	86	samples	sample	NOUN
fbem-20492	14	87	,	,	PUNCT
fbem-20492	14	88	and	and	CCONJ
fbem-20492	14	89	so	so	ADV
fbem-20492	14	90	on	on	ADV
fbem-20492	14	91	,	,	PUNCT
fbem-20492	14	92	until	until	SCONJ
fbem-20492	14	93	the	the	DET
fbem-20492	14	94	individual	individual	NOUN
fbem-20492	14	95	with	with	ADP
fbem-20492	14	96	the	the	DET
fbem-20492	14	97	highest	high	ADJ
fbem-20492	14	98	order	order	NOUN
fbem-20492	14	99	is	be	AUX
fbem-20492	14	100	selected	select	VERB
fbem-20492	14	101	from	from	ADP
fbem-20492	14	102	the	the	DET
fbem-20492	14	103	k	k	PROPN
fbem-20492	14	104	-	-	PUNCT
fbem-20492	14	105	th	th	VERB
fbem-20492	14	106	group	group	NOUN
fbem-20492	14	107	of	of	ADP
fbem-20492	14	108	samples.after	samples.after	NOUN
fbem-20492	14	109	completing	complete	VERB
fbem-20492	14	110	the	the	DET
fbem-20492	14	111	above	above	ADJ
fbem-20492	14	112	steps	step	NOUN
fbem-20492	14	113	,	,	PUNCT
fbem-20492	14	114	samples	sample	NOUN
fbem-20492	14	115	with	with	ADP
fbem-20492	14	116	a	a	DET
fbem-20492	14	117	capacity	capacity	NOUN
fbem-20492	14	118	of	of	ADP
fbem-20492	14	119	k	k	PROPN
fbem-20492	14	120	were	be	AUX
fbem-20492	14	121	selected	select	VERB
fbem-20492	14	122	from	from	ADP
fbem-20492	14	123	the	the	DET
fbem-20492	14	124	2k	2k	PROPN
fbem-20492	14	125	sample	sample	NOUN
fbem-20492	14	126	individuals	individual	NOUN
fbem-20492	14	127	,	,	PUNCT
fbem-20492	14	128	which	which	PRON
fbem-20492	14	129	is	be	AUX
fbem-20492	14	130	a	a	DET
fbem-20492	14	131	complete	complete	ADJ
fbem-20492	14	132	cycle	cycle	NOUN
fbem-20492	14	133	.	.	PUNCT
fbem-20492	15	1	the	the	DET
fbem-20492	15	2	application	application	NOUN
fbem-20492	15	3	examples	example	NOUN
fbem-20492	15	4	of	of	ADP
fbem-20492	15	5	empirical	empirical	ADJ
fbem-20492	15	6	bayesian	bayesian	NOUN
fbem-20492	15	7	methods	method	NOUN
fbem-20492	15	8	are	be	AUX
fbem-20492	15	9	indeed	indeed	ADV
fbem-20492	15	10	quite	quite	ADV
fbem-20492	15	11	extensive	extensive	ADJ
fbem-20492	15	12	.	.	PUNCT
fbem-20492	16	1	for	for	ADP
fbem-20492	16	2	example	example	NOUN
fbem-20492	16	3	,	,	PUNCT
fbem-20492	16	4	in	in	ADP
fbem-20492	16	5	the	the	DET
fbem-20492	16	6	field	field	NOUN
fbem-20492	16	7	of	of	ADP
fbem-20492	16	8	signal	signal	NOUN
fbem-20492	16	9	processing	processing	NOUN
fbem-20492	16	10	,	,	PUNCT
fbem-20492	16	11	empirical	empirical	ADJ
fbem-20492	16	12	bayesian	bayesian	NOUN
fbem-20492	16	13	methods	method	NOUN
fbem-20492	16	14	can	can	AUX
fbem-20492	16	15	be	be	AUX
fbem-20492	16	16	used	use	VERB
fbem-20492	16	17	for	for	ADP
fbem-20492	16	18	signal	signal	ADJ
fbem-20492	16	19	detection	detection	NOUN
fbem-20492	16	20	and	and	CCONJ
fbem-20492	16	21	classification	classification	NOUN
fbem-20492	16	22	.	.	PUNCT
fbem-20492	17	1	through	through	ADP
fbem-20492	17	2	the	the	DET
fbem-20492	17	3	prior	prior	ADJ
fbem-20492	17	4	probability	probability	NOUN
fbem-20492	17	5	and	and	CCONJ
fbem-20492	17	6	the	the	DET
fbem-20492	17	7	conditional	conditional	ADJ
fbem-20492	17	8	probability	probability	NOUN
fbem-20492	17	9	,	,	PUNCT
fbem-20492	17	10	we	we	PRON
fbem-20492	17	11	can	can	AUX
fbem-20492	17	12	calculate	calculate	VERB
fbem-20492	17	13	the	the	DET
fbem-20492	17	14	posterior	posterior	ADJ
fbem-20492	17	15	probability	probability	NOUN
fbem-20492	17	16	of	of	ADP
fbem-20492	17	17	different	different	ADJ
fbem-20492	17	18	signals	signal	NOUN
fbem-20492	17	19	.	.	PUNCT
fbem-20492	18	1	these	these	PRON
fbem-20492	18	2	are	be	AUX
fbem-20492	18	3	just	just	ADV
fbem-20492	18	4	some	some	DET
fbem-20492	18	5	examples	example	NOUN
fbem-20492	18	6	of	of	ADP
fbem-20492	18	7	the	the	DET
fbem-20492	18	8	application	application	NOUN
fbem-20492	18	9	of	of	ADP
fbem-20492	18	10	empirical	empirical	ADJ
fbem-20492	18	11	bayesian	bayesian	NOUN
fbem-20492	18	12	methods	method	NOUN
fbem-20492	18	13	.	.	PUNCT
fbem-20492	19	1	in	in	ADP
fbem-20492	19	2	fact	fact	NOUN
fbem-20492	19	3	,	,	PUNCT
fbem-20492	19	4	with	with	ADP
fbem-20492	19	5	the	the	DET
fbem-20492	19	6	deepening	deepening	NOUN
fbem-20492	19	7	of	of	ADP
fbem-20492	19	8	the	the	DET
fbem-20492	19	9	research	research	NOUN
fbem-20492	19	10	,	,	PUNCT
fbem-20492	19	11	the	the	DET
fbem-20492	19	12	empirical	empirical	ADJ
fbem-20492	19	13	bayesian	bayesian	NOUN
fbem-20492	19	14	method	method	NOUN
fbem-20492	19	15	also	also	ADV
fbem-20492	19	16	shows	show	VERB
fbem-20492	19	17	its	its	PRON
fbem-20492	19	18	potential	potential	NOUN
fbem-20492	19	19	and	and	CCONJ
fbem-20492	19	20	value	value	NOUN
fbem-20492	19	21	in	in	ADP
fbem-20492	19	22	more	more	ADJ
fbem-20492	19	23	fields	field	NOUN
fbem-20492	19	24	.	.	PUNCT
fbem-20492	20	1	for	for	ADP
fbem-20492	20	2	example	example	NOUN
fbem-20492	20	3	,	,	PUNCT
fbem-20492	20	4	in	in	ADP
fbem-20492	20	5	the	the	DET
fbem-20492	20	6	field	field	NOUN
fbem-20492	20	7	of	of	ADP
fbem-20492	20	8	machine	machine	NOUN
fbem-20492	20	9	learning	learning	NOUN
fbem-20492	20	10	,	,	PUNCT
fbem-20492	20	11	natural	natural	ADJ
fbem-20492	20	12	language	language	NOUN
fbem-20492	20	13	processing	processing	NOUN
fbem-20492	20	14	,	,	PUNCT
fbem-20492	20	15	speech	speech	NOUN
fbem-20492	20	16	recognition	recognition	NOUN
fbem-20492	20	17	and	and	CCONJ
fbem-20492	20	18	so	so	ADV
fbem-20492	20	19	on	on	ADV
fbem-20492	20	20	,	,	PUNCT
fbem-20492	20	21	empirical	empirical	ADJ
fbem-20492	20	22	bayesian	bayesian	NOUN
fbem-20492	20	23	methods	method	NOUN
fbem-20492	20	24	have	have	AUX
fbem-20492	20	25	been	be	AUX
fbem-20492	20	26	widely	widely	ADV
fbem-20492	20	27	used	use	VERB
fbem-20492	20	28	.	.	PUNCT
fbem-20492	21	1	it	it	PRON
fbem-20492	21	2	helps	help	VERB
fbem-20492	21	3	us	we	PRON
fbem-20492	21	4	understand	understand	VERB
fbem-20492	21	5	and	and	CCONJ
fbem-20492	21	6	process	process	VERB
fbem-20492	21	7	data	datum	NOUN
fbem-20492	21	8	more	more	ADV
fbem-20492	21	9	accurately	accurately	ADV
fbem-20492	21	10	,	,	PUNCT
fbem-20492	21	11	leading	lead	VERB
fbem-20492	21	12	to	to	ADP
fbem-20492	21	13	more	more	ADV
fbem-20492	21	14	informed	informed	ADJ
fbem-20492	21	15	decisions.empirical	decisions.empirical	ADJ
fbem-20492	21	16	bayes	bayes	NOUN
fbem-20492	21	17	approach	approach	NOUN
fbem-20492	21	18	haved	have	VERB
fbem-20492	21	19	been	be	AUX
fbem-20492	21	20	stuied	stuie	VERB
fbem-20492	21	21	[	[	PUNCT
fbem-20492	21	22	9	9	NUM
fbem-20492	21	23	-	-	SYM
fbem-20492	21	24	14	14	NUM
fbem-20492	21	25	]	]	PUNCT
fbem-20492	21	26	in	in	ADP
fbem-20492	21	27	this	this	DET
fbem-20492	21	28	paper	paper	NOUN
fbem-20492	21	29	,	,	PUNCT
fbem-20492	21	30	we	we	PRON
fbem-20492	21	31	obtain	obtain	VERB
fbem-20492	21	32	empirical	empirical	ADJ
fbem-20492	21	33	bayes	bayes	NOUN
fbem-20492	21	34	likelihood	likelihood	NOUN
fbem-20492	21	35	test	test	NOUN
fbem-20492	21	36	for	for	ADP
fbem-20492	21	37	distribution	distribution	NOUN
fbem-20492	21	38	in	in	ADP
fbem-20492	21	39	ranked	rank	VERB
fbem-20492	21	40	set	set	ADJ
fbem-20492	21	41	sampling	sampling	NOUN
fbem-20492	21	42	.	.	PUNCT
fbem-20492	22	1	let	let	VERB
fbem-20492	22	2	x	x	PRON
fbem-20492	22	3	have	have	VERB
fbem-20492	22	4	a	a	DET
fbem-20492	22	5	conditional	conditional	ADJ
fbem-20492	22	6	density	density	NOUN
fbem-20492	22	7	function	function	NOUN
fbem-20492	22	8	for	for	ADP
fbem-20492	22	9	given	give	VERB
fbem-20492	22	10	θ	θ	PROPN
fbem-20492	22	11	1	1	NUM
fbem-20492	22	12	(	(	PUNCT
fbem-20492	22	13	|	|	ADV
fbem-20492	22	14	)	)	PUNCT
fbem-20492	22	15	e	e	NOUN
fbem-20492	22	16	(	(	PUNCT
fbem-20492	22	17	1	1	NUM
fbem-20492	22	18	e	e	NOUN
fbem-20492	22	19	)	)	PUNCT
fbem-20492	22	20			NOUN
fbem-20492	23	1			NOUN
fbem-20492	23	2			PROPN
fbem-20492	23	3			PROPN
fbem-20492	23	4	x	x	NOUN
fbem-20492	23	5	xf	xf	PROPN
fbem-20492	23	6	x	x	PROPN
fbem-20492	23	7	(	(	PUNCT
fbem-20492	23	8	1.1	1.1	NUM
fbem-20492	23	9	)	)	PUNCT
fbem-20492	23	10	where	where	SCONJ
fbem-20492	23	11	θ	θ	PROPN
fbem-20492	23	12	is	be	AUX
fbem-20492	23	13	unknown	unknown	ADJ
fbem-20492	23	14	parameterand	parameterand	NOUN
fbem-20492	23	15			PRON
fbem-20492	23	16	0	0	PRON
fbem-20492	24	1			PRON
fbem-20492	24	2			VERB
fbem-20492	24	3	is	be	AUX
fbem-20492	24	4	parameter	parameter	NOUN
fbem-20492	24	5	space	space	NOUN
fbem-20492	24	6	.	.	PUNCT
fbem-20492	25	1	we	we	PRON
fbem-20492	25	2	discuss	discuss	VERB
fbem-20492	25	3	the	the	DET
fbem-20492	25	4	following	follow	VERB
fbem-20492	25	5	test	test	NOUN
fbem-20492	25	6	problem	problem	NOUN
fbem-20492	25	7	:	:	PUNCT
fbem-20492	25	8	0	0	NUM
fbem-20492	25	9	0	0	NUM
fbem-20492	25	10	1	1	NUM
fbem-20492	25	11	0	0	NUM
fbem-20492	25	12	:	:	PUNCT
fbem-20492	25	13	:	:	PUNCT
fbem-20492	25	14	h	h	NOUN
fbem-20492	25	15	h	h	NOUN
fbem-20492	25	16			PROPN
fbem-20492	25	17			PROPN
fbem-20492	25	18			PROPN
fbem-20492	25	19			PROPN
fbem-20492	25	20			PROPN
fbem-20492	25	21	(	(	PUNCT
fbem-20492	25	22	1.2	1.2	NUM
fbem-20492	25	23	)	)	PUNCT
fbem-20492	25	24	where	where	SCONJ
fbem-20492	25	25	𝜃0	𝜃0	NOUN
fbem-20492	25	26	is	be	AUX
fbem-20492	25	27	given	give	VERB
fbem-20492	25	28	constants	constant	NOUN
fbem-20492	25	29	.	.	PUNCT
fbem-20492	26	1	we	we	PRON
fbem-20492	26	2	choose	choose	VERB
fbem-20492	26	3	loss	loss	NOUN
fbem-20492	26	4	function	function	NOUN
fbem-20492	26	5			NOUN
fbem-20492	26	6			SYM
fbem-20492	26	7			NOUN
fbem-20492	26	8			PUNCT
fbem-20492	26	9			NOUN
fbem-20492	26	10			PROPN
fbem-20492	26	11	2	2	NUM
fbem-20492	26	12	0	0	NUM
fbem-20492	26	13	0	0	NUM
fbem-20492	26	14	0	0	NUM
fbem-20492	26	15	0	0	NUM
fbem-20492	26	16	,	,	PUNCT
fbem-20492	26	17	,	,	PUNCT
fbem-20492	26	18	l	l	PROPN
fbem-20492	27	1	d	d	NOUN
fbem-20492	27	2	i	i	PRON
fbem-20492	27	3			X
fbem-20492	27	4			X
fbem-20492	27	5			PROPN
fbem-20492	27	6			PROPN
fbem-20492	27	7			PROPN
fbem-20492	27	8			PROPN
fbem-20492	28	1			PROPN
fbem-20492	28	2			PROPN
fbem-20492	28	3			ADJ
fbem-20492	28	4			NOUN
fbem-20492	29	1			SYM
fbem-20492	29	2			NOUN
fbem-20492	29	3			PUNCT
fbem-20492	29	4			NOUN
fbem-20492	29	5			PROPN
fbem-20492	29	6	2	2	NUM
fbem-20492	29	7	0	0	NUM
fbem-20492	29	8	1	1	NUM
fbem-20492	29	9	1	1	NUM
fbem-20492	29	10	0	0	NUM
fbem-20492	29	11	,	,	PUNCT
fbem-20492	29	12	.l	.l	PROPN
fbem-20492	30	1	d	d	NOUN
fbem-20492	30	2	i	i	PRON
fbem-20492	30	3			X
fbem-20492	30	4			X
fbem-20492	30	5			PROPN
fbem-20492	30	6			PROPN
fbem-20492	31	1			PROPN
fbem-20492	32	1			PROPN
fbem-20492	33	1			VERB
fbem-20492	33	2			PRON
fbem-20492	33	3			NOUN
fbem-20492	33	4	where	where	SCONJ
fbem-20492	33	5	d	d	PROPN
fbem-20492	33	6	d0,d1	d0,d1	PROPN
fbem-20492	33	7	is	be	AUX
fbem-20492	33	8	action	action	NOUN
fbem-20492	33	9	space	space	NOUN
fbem-20492	33	10	,	,	PUNCT
fbem-20492	33	11	d0	d0	NOUN
fbem-20492	33	12	and	and	CCONJ
fbem-20492	33	13	d1	d1	PROPN
fbem-20492	33	14	imply	imply	VERB
fbem-20492	33	15	acceptance	acceptance	NOUN
fbem-20492	33	16	and	and	CCONJ
fbem-20492	33	17	rejection	rejection	NOUN
fbem-20492	33	18	of	of	ADP
fbem-20492	33	19	𝐻0	𝐻0	NOUN
fbem-20492	33	20	respectively	respectively	ADV
fbem-20492	33	21	.	.	PUNCT
fbem-20492	34	1	suppose	suppose	VERB
fbem-20492	34	2	that	that	SCONJ
fbem-20492	34	3	the	the	DET
fbem-20492	34	4	prior	prior	ADJ
fbem-20492	34	5	distribution	distribution	NOUN
fbem-20492	34	6	g	g	PROPN
fbem-20492	34	7	θ	θ	PROPN
fbem-20492	34	8	of	of	ADP
fbem-20492	34	9	parameter	parameter	NOUN
fbem-20492	34	10	the	the	DET
fbem-20492	34	11	θ	θ	PROPN
fbem-20492	34	12	is	be	AUX
fbem-20492	34	13	unknown	unknown	ADJ
fbem-20492	34	14	.	.	PUNCT
fbem-20492	35	1	we	we	PRON
fbem-20492	35	2	have	have	VERB
fbem-20492	35	3	random	random	ADJ
fbem-20492	35	4	decision	decision	NOUN
fbem-20492	35	5	function	function	NOUN
fbem-20492	35	6	δ(x)=p(accept	δ(x)=p(accept	PUNCT
fbem-20492	36	1	𝐻0|x	𝐻0|x	DET
fbem-20492	36	2	=	=	NOUN
fbem-20492	36	3	x	x	X
fbem-20492	36	4	)	)	PUNCT
fbem-20492	36	5	.	.	PUNCT
fbem-20492	37	1	(	(	PUNCT
fbem-20492	37	2	1.3	1.3	NUM
fbem-20492	37	3	)	)	PUNCT
fbem-20492	37	4	then	then	ADV
fbem-20492	37	5	,	,	PUNCT
fbem-20492	37	6	the	the	DET
fbem-20492	37	7	risk	risk	NOUN
fbem-20492	37	8	function	function	NOUN
fbem-20492	37	9	of	of	ADP
fbem-20492	37	10	δ	δ	PROPN
fbem-20492	37	11	x	x	VERB
fbem-20492	37	12	is	be	AUX
fbem-20492	37	13	shown	show	VERB
fbem-20492	37	14	by	by	ADP
fbem-20492	37	15			NOUN
fbem-20492	37	16			PROPN
fbem-20492	37	17			NOUN
fbem-20492	37	18			NOUN
fbem-20492	38	1			PUNCT
fbem-20492	38	2			NOUN
fbem-20492	38	3			SYM
fbem-20492	38	4			NOUN
fbem-20492	38	5			SYM
fbem-20492	38	6			NOUN
fbem-20492	38	7			SYM
fbem-20492	38	8			NOUN
fbem-20492	38	9			SYM
fbem-20492	38	10			NOUN
fbem-20492	38	11			PUNCT
fbem-20492	38	12			NOUN
fbem-20492	39	1			NOUN
fbem-20492	40	1			PUNCT
fbem-20492	40	2			NOUN
fbem-20492	40	3			SYM
fbem-20492	40	4			NOUN
fbem-20492	40	5			SYM
fbem-20492	40	6			NOUN
fbem-20492	40	7			PROPN
fbem-20492	40	8	0	0	NUM
fbem-20492	40	9	1	1	NUM
fbem-20492	40	10	,	,	PUNCT
fbem-20492	40	11	,	,	PUNCT
fbem-20492	40	12	|	|	ADV
fbem-20492	40	13	,	,	PUNCT
fbem-20492	40	14	|	|	ADV
fbem-20492	40	15	1	1	NUM
fbem-20492	40	16	g	g	NOUN
fbem-20492	40	17	r	r	NOUN
fbem-20492	40	18	x	x	SYM
fbem-20492	40	19	g	g	NOUN
fbem-20492	40	20	l	l	NOUN
fbem-20492	41	1	d	d	X
fbem-20492	41	2	f	f	X
fbem-20492	41	3	x	x	X
fbem-20492	41	4	x	x	PUNCT
fbem-20492	41	5	l	l	PUNCT
fbem-20492	41	6	d	d	X
fbem-20492	41	7	f	f	X
fbem-20492	41	8	x	x	PUNCT
fbem-20492	41	9	x	x	X
fbem-20492	41	10	dxdg	dxdg	PROPN
fbem-20492	41	11	x	x	NOUN
fbem-20492	41	12	x	x	X
fbem-20492	41	13	dx	dx	PROPN
fbem-20492	41	14	c	c	PROPN
fbem-20492	41	15			NUM
fbem-20492	41	16			X
fbem-20492	41	17			X
fbem-20492	41	18			PROPN
fbem-20492	42	1			NUM
fbem-20492	42	2			X
fbem-20492	42	3			X
fbem-20492	43	1			NUM
fbem-20492	43	2			X
fbem-20492	43	3			PROPN
fbem-20492	43	4			PROPN
fbem-20492	43	5			PROPN
fbem-20492	43	6			PROPN
fbem-20492	43	7			PROPN
fbem-20492	44	1			ADJ
fbem-20492	44	2			PROPN
fbem-20492	44	3			PROPN
fbem-20492	44	4			PROPN
fbem-20492	44	5			PROPN
fbem-20492	44	6			ADV
fbem-20492	44	7			PUNCT
fbem-20492	44	8			X
fbem-20492	44	9			X
fbem-20492	44	10	where	where	SCONJ
fbem-20492	44	11			NOUN
fbem-20492	44	12			SYM
fbem-20492	44	13			NOUN
fbem-20492	44	14	1,gc	1,gc	NOUN
fbem-20492	44	15	l	l	NOUN
fbem-20492	44	16	d	d	NOUN
fbem-20492	44	17	dg	dg	VERB
fbem-20492	44	18			NOUN
fbem-20492	44	19			X
fbem-20492	44	20	,	,	PUNCT
fbem-20492	44	21			PROPN
fbem-20492	44	22			SYM
fbem-20492	44	23			NOUN
fbem-20492	44	24			SYM
fbem-20492	44	25			NOUN
fbem-20492	44	26			PUNCT
fbem-20492	44	27			NOUN
fbem-20492	44	28			PROPN
fbem-20492	44	29	2	2	NUM
fbem-20492	44	30	0	0	NUM
fbem-20492	44	31	|x	|x	NOUN
fbem-20492	44	32	f	f	PROPN
fbem-20492	44	33	x	x	X
fbem-20492	44	34	dg	dg	X
fbem-20492	44	35			X
fbem-20492	44	36			PROPN
fbem-20492	44	37			PROPN
fbem-20492	45	1			PROPN
fbem-20492	45	2			PROPN
fbem-20492	45	3	.(1.4	.(1.4	PUNCT
fbem-20492	45	4	)	)	PUNCT
fbem-20492	46	1	the	the	DET
fbem-20492	46	2	marginal	marginal	ADJ
fbem-20492	46	3	density	density	NOUN
fbem-20492	46	4	function	function	NOUN
fbem-20492	46	5	of	of	ADP
fbem-20492	46	6	x	x	PROPN
fbem-20492	46	7	is	be	AUX
fbem-20492	46	8	shown	show	VERB
fbem-20492	46	9	by	by	ADP
fbem-20492	46	10	232	232	NUM
fbem-20492	46	11	1	1	NUM
fbem-20492	46	12	(	(	PUNCT
fbem-20492	46	13	)	)	PUNCT
fbem-20492	46	14	(	(	PUNCT
fbem-20492	46	15	|	|	ADV
fbem-20492	46	16	)	)	PUNCT
fbem-20492	46	17	d	d	NOUN
fbem-20492	46	18	(	(	PUNCT
fbem-20492	46	19	)	)	PUNCT
fbem-20492	46	20	,	,	PUNCT
fbem-20492	46	21	(	(	PUNCT
fbem-20492	46	22	)	)	PUNCT
fbem-20492	46	23	e	e	X
fbem-20492	46	24	(	(	PUNCT
fbem-20492	46	25	1	1	NUM
fbem-20492	46	26	e	e	NOUN
fbem-20492	46	27	)	)	PUNCT
fbem-20492	46	28	d	d	PROPN
fbem-20492	46	29	(	(	PUNCT
fbem-20492	46	30	)	)	PUNCT
fbem-20492	46	31	,	,	PUNCT
fbem-20492	46	32			NOUN
fbem-20492	46	33			NOUN
fbem-20492	46	34			X
fbem-20492	46	35			NOUN
fbem-20492	46	36			PROPN
fbem-20492	47	1			PROPN
fbem-20492	47	2			PROPN
fbem-20492	47	3			NOUN
fbem-20492	47	4			PROPN
fbem-20492	47	5			NOUN
fbem-20492	47	6			NOUN
fbem-20492	47	7	x	x	X
fbem-20492	48	1	xgf	xgf	PUNCT
fbem-20492	48	2	x	x	X
fbem-20492	49	1	f	f	NOUN
fbem-20492	49	2	x	x	SYM
fbem-20492	49	3	g	g	NOUN
fbem-20492	49	4	x	x	SYM
fbem-20492	49	5	g	g	NOUN
fbem-20492	49	6	where	where	SCONJ
fbem-20492	49	7	(	(	PUNCT
fbem-20492	49	8	1	1	NUM
fbem-20492	49	9	)	)	SYM
fbem-20492	49	10	2	2	NUM
fbem-20492	49	11	2	2	NUM
fbem-20492	49	12	(	(	PUNCT
fbem-20492	49	13	)	)	PUNCT
fbem-20492	49	14	e	e	X
fbem-20492	49	15	(	(	PUNCT
fbem-20492	49	16	1)(1	1)(1	NUM
fbem-20492	49	17	e	e	NOUN
fbem-20492	49	18	)	)	PUNCT
fbem-20492	49	19	d	d	PROPN
fbem-20492	49	20	(	(	PUNCT
fbem-20492	49	21	)	)	PUNCT
fbem-20492	49	22	x	x	SYM
fbem-20492	49	23	xg	xg	PROPN
fbem-20492	50	1	gf	gf	PROPN
fbem-20492	50	2	f	f	PROPN
fbem-20492	50	3	x	x	SYM
fbem-20492	50	4	g	g	NOUN
fbem-20492	50	5			PROPN
fbem-20492	50	6			NUM
fbem-20492	50	7			X
fbem-20492	50	8			PROPN
fbem-20492	50	9			PROPN
fbem-20492	51	1			PROPN
fbem-20492	51	2			PROPN
fbem-20492	51	3			ADJ
fbem-20492	51	4			PROPN
fbem-20492	51	5			VERB
fbem-20492	51	6			NOUN
fbem-20492	51	7			NOUN
fbem-20492	51	8	(	(	PUNCT
fbem-20492	51	9	1.5	1.5	NUM
fbem-20492	51	10	)	)	PUNCT
fbem-20492	51	11	by	by	ADP
fbem-20492	51	12	(	(	PUNCT
fbem-20492	51	13	1.5	1.5	NUM
fbem-20492	51	14	)	)	PUNCT
fbem-20492	51	15	,	,	PUNCT
fbem-20492	51	16	we	we	PRON
fbem-20492	51	17	have	have	VERB
fbem-20492	51	18	(	(	PUNCT
fbem-20492	51	19	1)1	1)1	NUM
fbem-20492	51	20	2	2	NUM
fbem-20492	51	21	(	(	PUNCT
fbem-20492	51	22	)	)	PUNCT
fbem-20492	51	23	(	(	PUNCT
fbem-20492	51	24	)	)	PUNCT
fbem-20492	51	25	(	(	PUNCT
fbem-20492	51	26	)	)	PUNCT
fbem-20492	51	27	(	(	PUNCT
fbem-20492	51	28	)	)	PUNCT
fbem-20492	51	29	(	(	PUNCT
fbem-20492	51	30	)	)	PUNCT
fbem-20492	51	31	g	g	PROPN
fbem-20492	51	32	gx	gx	PROPN
fbem-20492	51	33	u	u	PROPN
fbem-20492	51	34	x	x	X
fbem-20492	51	35	f	f	NOUN
fbem-20492	51	36	x	x	SYM
fbem-20492	51	37	u	u	NOUN
fbem-20492	51	38	x	x	NOUN
fbem-20492	51	39	f	f	PROPN
fbem-20492	51	40	x	x	PROPN
fbem-20492	51	41			PROPN
fbem-20492	51	42			PROPN
fbem-20492	51	43	where	where	SCONJ
fbem-20492	51	44	21	21	NUM
fbem-20492	51	45	(	(	PUNCT
fbem-20492	51	46	)	)	PUNCT
fbem-20492	51	47	e	e	X
fbem-20492	51	48	e	e	X
fbem-20492	51	49	3	3	NUM
fbem-20492	51	50	x	x	SYM
fbem-20492	51	51	xu	xu	PROPN
fbem-20492	51	52	x	x	PROPN
fbem-20492	52	1			PROPN
fbem-20492	52	2			PROPN
fbem-20492	52	3			VERB
fbem-20492	52	4	,	,	PUNCT
fbem-20492	52	5	2	2	NUM
fbem-20492	52	6	(	(	PUNCT
fbem-20492	52	7	)	)	PUNCT
fbem-20492	52	8	u	u	X
fbem-20492	52	9	x	x	X
fbem-20492	52	10	0(e	0(e	NUM
fbem-20492	52	11	1)(e	1)(e	NUM
fbem-20492	52	12	)	)	PUNCT
fbem-20492	52	13	x	x	X
fbem-20492	52	14	x	x	PUNCT
fbem-20492	52	15			NOUN
fbem-20492	52	16			NOUN
fbem-20492	52	17	.	.	PUNCT
fbem-20492	53	1	using	use	VERB
fbem-20492	53	2	(	(	PUNCT
fbem-20492	53	3	1.5	1.5	NUM
fbem-20492	53	4	)	)	PUNCT
fbem-20492	53	5	,	,	PUNCT
fbem-20492	53	6	bayes	bayes	PROPN
fbem-20492	53	7	test	test	NOUN
fbem-20492	53	8	function	function	NOUN
fbem-20492	53	9	is	be	AUX
fbem-20492	53	10	obtained	obtain	VERB
fbem-20492	53	11	as	as	SCONJ
fbem-20492	53	12	follows	follow	VERB
fbem-20492	53	13			NOUN
fbem-20492	53	14			SYM
fbem-20492	53	15			NOUN
fbem-20492	54	1			PUNCT
fbem-20492	54	2			NOUN
fbem-20492	54	3			PROPN
fbem-20492	54	4	1	1	NUM
fbem-20492	54	5	,	,	PUNCT
fbem-20492	54	6	0	0	NUM
fbem-20492	54	7	0	0	NUM
fbem-20492	54	8	,	,	PUNCT
fbem-20492	54	9	0	0	NUM
fbem-20492	55	1	g	g	NOUN
fbem-20492	55	2	x	x	SYM
fbem-20492	55	3	x	x	PUNCT
fbem-20492	55	4	x	x	PUNCT
fbem-20492	55	5			PROPN
fbem-20492	55	6			NUM
fbem-20492	55	7			PROPN
fbem-20492	55	8			NOUN
fbem-20492	55	9			NOUN
fbem-20492	55	10			NOUN
fbem-20492	55	11			SCONJ
fbem-20492	55	12	further	far	ADV
fbem-20492	55	13	,	,	PUNCT
fbem-20492	55	14	we	we	PRON
fbem-20492	55	15	obtian	obtian	VERB
fbem-20492	55	16	the	the	DET
fbem-20492	55	17	minimum	minimum	ADJ
fbem-20492	55	18	bayes	bayes	NOUN
fbem-20492	55	19	risk	risk	NOUN
fbem-20492	55	20	as	as	SCONJ
fbem-20492	55	21	follows	follow	VERB
fbem-20492	55	22			NOUN
fbem-20492	56	1			SYM
fbem-20492	56	2			NOUN
fbem-20492	56	3			SYM
fbem-20492	56	4			NOUN
fbem-20492	56	5			SYM
fbem-20492	56	6			NOUN
fbem-20492	56	7			PUNCT
fbem-20492	56	8			PROPN
fbem-20492	56	9			PROPN
fbem-20492	56	10	inf	inf	NOUN
fbem-20492	56	11	,	,	PUNCT
fbem-20492	56	12	,	,	PUNCT
fbem-20492	56	13	g	g	PROPN
fbem-20492	56	14	g	g	PROPN
fbem-20492	56	15	g	g	PROPN
fbem-20492	56	16	r	r	NOUN
fbem-20492	56	17	g	g	NOUN
fbem-20492	56	18	r	r	NOUN
fbem-20492	56	19	g	g	NOUN
fbem-20492	56	20	r	r	NOUN
fbem-20492	56	21	g	g	NOUN
fbem-20492	56	22	x	x	SYM
fbem-20492	56	23	x	x	X
fbem-20492	56	24	dx	dx	PROPN
fbem-20492	56	25	c	c	PROPN
fbem-20492	57	1			NUM
fbem-20492	57	2			PROPN
fbem-20492	57	3			NUM
fbem-20492	57	4			PROPN
fbem-20492	57	5			NUM
fbem-20492	57	6			PROPN
fbem-20492	57	7			NUM
fbem-20492	57	8			NOUN
fbem-20492	57	9			NOUN
fbem-20492	57	10			NOUN
fbem-20492	57	11	(	(	PUNCT
fbem-20492	57	12	1.6	1.6	NUM
fbem-20492	57	13	)	)	PUNCT
fbem-20492	57	14	from	from	ADP
fbem-20492	57	15	above	above	ADP
fbem-20492	57	16	that	that	DET
fbem-20492	57	17	δ	δ	PROPN
fbem-20492	57	18	x	x	PUNCT
fbem-20492	57	19	δg	δg	VERB
fbem-20492	57	20	x	x	PUNCT
fbem-20492	57	21	and	and	CCONJ
fbem-20492	57	22	r	r	NOUN
fbem-20492	57	23	g	g	NOUN
fbem-20492	57	24	can	can	AUX
fbem-20492	57	25	be	be	AUX
fbem-20492	57	26	obtained	obtain	VERB
fbem-20492	57	27	when	when	SCONJ
fbem-20492	57	28	the	the	DET
fbem-20492	57	29	prior	prior	ADJ
fbem-20492	57	30	distribution	distribution	NOUN
fbem-20492	57	31	of	of	ADP
fbem-20492	57	32	g	g	PROPN
fbem-20492	57	33	θ	θ	PROPN
fbem-20492	57	34	is	be	AUX
fbem-20492	57	35	given	give	VERB
fbem-20492	57	36	.	.	PUNCT
fbem-20492	58	1	if	if	SCONJ
fbem-20492	58	2	not	not	PART
fbem-20492	58	3	,	,	PUNCT
fbem-20492	58	4	we	we	PRON
fbem-20492	58	5	apply	apply	VERB
fbem-20492	58	6	the	the	DET
fbem-20492	58	7	empirical	empirical	ADJ
fbem-20492	58	8	bayes	bayes	NOUN
fbem-20492	58	9	likelihood	likelihood	PROPN
fbem-20492	58	10	test	test	NOUN
fbem-20492	58	11	method	method	NOUN
fbem-20492	58	12	.	.	PUNCT
fbem-20492	59	1	the	the	DET
fbem-20492	59	2	rest	rest	NOUN
fbem-20492	59	3	of	of	ADP
fbem-20492	59	4	this	this	DET
fbem-20492	59	5	paper	paper	NOUN
fbem-20492	59	6	is	be	AUX
fbem-20492	59	7	organized	organize	VERB
fbem-20492	59	8	as	as	SCONJ
fbem-20492	59	9	follows	follow	VERB
fbem-20492	59	10	.	.	PUNCT
fbem-20492	60	1	section	section	NOUN
fbem-20492	60	2	2	2	NUM
fbem-20492	60	3	presents	present	VERB
fbem-20492	60	4	an	an	DET
fbem-20492	60	5	empirical	empirical	ADJ
fbem-20492	60	6	bayes	bayes	NOUN
fbem-20492	60	7	likelihood	likelihood	NOUN
fbem-20492	60	8	test	test	NOUN
fbem-20492	60	9	under	under	ADP
fbem-20492	60	10	ranked	rank	VERB
fbem-20492	60	11	set	set	ADJ
fbem-20492	60	12	sampling	sampling	NOUN
fbem-20492	60	13	.	.	PUNCT
fbem-20492	61	1	in	in	ADP
fbem-20492	61	2	section	section	NOUN
fbem-20492	61	3	3	3	NUM
fbem-20492	61	4	,	,	PUNCT
fbem-20492	61	5	we	we	PRON
fbem-20492	61	6	obtain	obtain	VERB
fbem-20492	61	7	asymptotic	asymptotic	ADJ
fbem-20492	61	8	optimality	optimality	NOUN
fbem-20492	61	9	of	of	ADP
fbem-20492	61	10	convergence	convergence	NOUN
fbem-20492	61	11	of	of	ADP
fbem-20492	61	12	the	the	DET
fbem-20492	61	13	empirical	empirical	ADJ
fbem-20492	61	14	bayes	bayes	NOUN
fbem-20492	61	15	likelihood	likelihood	NOUN
fbem-20492	61	16	test	test	NOUN
fbem-20492	61	17	in	in	ADP
fbem-20492	61	18	ranked	rank	VERB
fbem-20492	61	19	set	set	ADJ
fbem-20492	61	20	sampling	sampling	NOUN
fbem-20492	61	21	.	.	PUNCT
fbem-20492	62	1	2	2	X
fbem-20492	62	2	.	.	X
fbem-20492	62	3	construction	construction	NOUN
fbem-20492	62	4	of	of	ADP
fbem-20492	62	5	empirical	empirical	ADJ
fbem-20492	62	6	bayes	bayes	PROPN
fbem-20492	62	7	likelihood	likelihood	PROPN
fbem-20492	62	8	test	test	NOUN
fbem-20492	62	9	under	under	ADP
fbem-20492	62	10	ranked	rank	VERB
fbem-20492	62	11	set	set	ADJ
fbem-20492	62	12	sampling	sampling	NOUN
fbem-20492	62	13	supposed	suppose	VERB
fbem-20492	62	14	that	that	SCONJ
fbem-20492	62	15	x(1)1,x(1)2	x(1)1,x(1)2	PROPN
fbem-20492	62	16	,	,	PUNCT
fbem-20492	62	17	⋯	⋯	PROPN
fbem-20492	62	18	,	,	PUNCT
fbem-20492	62	19	x(1)m	x(1)m	PROPN
fbem-20492	62	20	,	,	PUNCT
fbem-20492	62	21	x(2)1,x(2)2	x(2)1,x(2)2	PROPN
fbem-20492	62	22	⋯	⋯	PROPN
fbem-20492	62	23	,	,	PUNCT
fbem-20492	62	24	x(2)m	x(2)m	PROPN
fbem-20492	62	25	,	,	PUNCT
fbem-20492	62	26	⋯,x(k)1,x(k)2⋯,x(k)m	⋯,x(k)1,x(k)2⋯,x(k)m	PROPN
fbem-20492	62	27	be	be	AUX
fbem-20492	62	28	a	a	DET
fbem-20492	62	29	balanced	balanced	ADJ
fbem-20492	62	30	ranked	rank	VERB
fbem-20492	62	31	set	set	VERB
fbem-20492	62	32	sample	sample	NOUN
fbem-20492	62	33	from	from	ADP
fbem-20492	62	34	population	population	NOUN
fbem-20492	62	35	which	which	PRON
fbem-20492	62	36	has	have	VERB
fbem-20492	62	37	the	the	DET
fbem-20492	62	38	common	common	ADJ
fbem-20492	62	39	marginal	marginal	ADJ
fbem-20492	62	40	density	density	NOUN
fbem-20492	62	41	function	function	NOUN
fbem-20492	62	42	fg(x	fg(x	NUM
fbem-20492	62	43	)	)	PUNCT
fbem-20492	62	44	.	.	PUNCT
fbem-20492	63	1	we	we	PRON
fbem-20492	63	2	assume	assume	VERB
fbem-20492	63	3	perfect	perfect	ADJ
fbem-20492	63	4	ranking	ranking	NOUN
fbem-20492	63	5	.	.	PUNCT
fbem-20492	64	1	denote	denote	PROPN
fbem-20492	64	2	thatx(1)1	thatx(1)1	PROPN
fbem-20492	64	3	,	,	PUNCT
fbem-20492	64	4	x(1)m	x(1)m	PROPN
fbem-20492	64	5	,	,	PUNCT
fbem-20492	64	6	x(2)1	x(2)1	PROPN
fbem-20492	64	7	,	,	PUNCT
fbem-20492	64	8	x(2)m	x(2)m	PROPN
fbem-20492	64	9	,	,	PUNCT
fbem-20492	64	10	x(k)1	x(k)1	PROPN
fbem-20492	64	11	,	,	PUNCT
fbem-20492	64	12	x(k)m	x(k)m	PROPN
fbem-20492	64	13	are	be	AUX
fbem-20492	64	14	ranked	rank	VERB
fbem-20492	64	15	set	set	VERB
fbem-20492	64	16	historical	historical	ADJ
fbem-20492	64	17	samples	sample	NOUN
fbem-20492	64	18	,	,	PUNCT
fbem-20492	64	19	and	and	CCONJ
fbem-20492	64	20	x	x	X
fbem-20492	64	21	is	be	AUX
fbem-20492	64	22	present	present	ADJ
fbem-20492	64	23	sample	sample	NOUN
fbem-20492	64	24	.	.	PUNCT
fbem-20492	65	1	assume	assume	VERB
fbem-20492	65	2	f(x	f(x	PROPN
fbem-20492	65	3	)	)	PUNCT
fbem-20492	65	4	∈c𝑠,𝛼,x∈	∈c𝑠,𝛼,x∈	X
fbem-20492	66	1	r1	r1	PROPN
fbem-20492	66	2	,	,	PUNCT
fbem-20492	66	3	where	where	SCONJ
fbem-20492	66	4	c𝑠,𝛼={g(x)|g(x	c𝑠,𝛼={g(x)|g(x	X
fbem-20492	66	5	)	)	PUNCT
fbem-20492	66	6	is	be	AUX
fbem-20492	66	7	a	a	DET
fbem-20492	66	8	probability	probability	NOUN
fbem-20492	66	9	density	density	NOUN
fbem-20492	66	10	function	function	NOUN
fbem-20492	66	11	.	.	PUNCT
fbem-20492	67	1	the	the	DET
fbem-20492	67	2	s−he	s−he	PROPN
fbem-20492	67	3	order	order	NOUN
fbem-20492	67	4	derivative	derivative	PROPN
fbem-20492	67	5	𝑔(𝑠)(x	𝑔(𝑠)(x	NOUN
fbem-20492	67	6	)	)	PUNCT
fbem-20492	67	7	is	be	AUX
fbem-20492	67	8	continuous	continuous	ADJ
fbem-20492	67	9	with	with	ADP
fbem-20492	67	10	|𝑔(𝑠)(x)|≤α	|𝑔(𝑠)(x)|≤α	PROPN
fbem-20492	67	11	,	,	PUNCT
fbem-20492	67	12	s≥3,α>0	s≥3,α>0	ADV
fbem-20492	67	13	}	}	PUNCT
fbem-20492	67	14	,	,	PUNCT
fbem-20492	67	15	n	n	DET
fbem-20492	67	16	km	km	NOUN
fbem-20492	67	17	.	.	PUNCT
fbem-20492	68	1	supposed	suppose	VERB
fbem-20492	68	2	that	that	PRON
fbem-20492	68	3	kr(x	kr(x	PROPN
fbem-20492	68	4	)	)	PUNCT
fbem-20492	68	5	be	be	VERB
fbem-20492	68	6	a	a	DET
fbem-20492	68	7	borel	borel	NOUN
fbem-20492	68	8	measurable	measurable	NOUN
fbem-20492	68	9	bounded	bounded	ADJ
fbem-20492	68	10	function	function	NOUN
fbem-20492	68	11	vanishing	vanish	VERB
fbem-20492	68	12	off	off	ADP
fbem-20492	68	13	(	(	PUNCT
fbem-20492	68	14	0,1	0,1	NOUN
fbem-20492	68	15	)	)	PUNCT
fbem-20492	69	1	such	such	ADJ
fbem-20492	69	2	that	that	SCONJ
fbem-20492	69	3	(	(	PUNCT
fbem-20492	69	4	a1	a1	NOUN
fbem-20492	69	5	):	):	PUNCT
fbem-20492	69	6			NOUN
fbem-20492	69	7			PROPN
fbem-20492	69	8	1	1	NUM
fbem-20492	69	9	0	0	NUM
fbem-20492	69	10	1	1	NUM
fbem-20492	69	11	,	,	PUNCT
fbem-20492	69	12	01	01	NUM
fbem-20492	69	13	0	0	NUM
fbem-20492	69	14	,	,	PUNCT
fbem-20492	69	15	1	1	NUM
fbem-20492	69	16	,	,	PUNCT
fbem-20492	69	17	,	,	PUNCT
fbem-20492	69	18	1	1	X
fbem-20492	69	19	!	!	X
fbem-20492	69	20	t	t	NOUN
fbem-20492	69	21	r	r	NOUN
fbem-20492	69	22	t	t	PROPN
fbem-20492	69	23	v	v	X
fbem-20492	69	24	k	k	PROPN
fbem-20492	69	25	v	v	X
fbem-20492	69	26	dv	dv	PROPN
fbem-20492	69	27	t	t	PROPN
fbem-20492	69	28	st	st	PROPN
fbem-20492	69	29			PROPN
fbem-20492	69	30			PROPN
fbem-20492	69	31			NUM
fbem-20492	69	32			NOUN
fbem-20492	69	33			CCONJ
fbem-20492	69	34			ADJ
fbem-20492	69	35			NOUN
fbem-20492	69	36	(	(	PUNCT
fbem-20492	69	37	2.1	2.1	NUM
fbem-20492	69	38	)	)	PUNCT
fbem-20492	69	39	empirical	empirical	ADJ
fbem-20492	69	40	likelihood	likelihood	NOUN
fbem-20492	69	41	is	be	AUX
fbem-20492	69	42	established	establish	VERB
fbem-20492	69	43	by	by	ADP
fbem-20492	69	44	(	(	PUNCT
fbem-20492	69	45	)	)	PUNCT
fbem-20492	69	46	1	1	NUM
fbem-20492	69	47	11	11	NUM
fbem-20492	69	48	(	(	PUNCT
fbem-20492	69	49	(	(	PUNCT
fbem-20492	69	50	)	)	PUNCT
fbem-20492	69	51	)	)	PUNCT
fbem-20492	69	52	sup	sup	NOUN
fbem-20492	69	53	,	,	PUNCT
fbem-20492	69	54	0	0	NUM
fbem-20492	69	55	,	,	PUNCT
fbem-20492	69	56	1	1	NUM
fbem-20492	69	57	,	,	PUNCT
fbem-20492	69	58	0	0	NUM
fbem-20492	69	59	n	n	CCONJ
fbem-20492	69	60	n	n	CCONJ
fbem-20492	69	61	n	n	NOUN
fbem-20492	69	62	r	r	NOUN
fbem-20492	70	1	i	i	PRON
fbem-20492	70	2	i	i	PRON
fbem-20492	71	1	i	i	PRON
fbem-20492	71	2	i	i	PRON
fbem-20492	72	1	i	i	PRON
fbem-20492	73	1	i	i	VERB
fbem-20492	73	2	ii	ii	VERB
fbem-20492	74	1	r	r	NOUN
fbem-20492	74	2	f	f	NOUN
fbem-20492	74	3	x	x	X
fbem-20492	75	1	np	np	INTJ
fbem-20492	75	2	p	p	NOUN
fbem-20492	76	1	p	p	X
fbem-20492	76	2	p	p	X
fbem-20492	76	3			ADJ
fbem-20492	76	4			NOUN
fbem-20492	76	5			ADP
fbem-20492	77	1			PROPN
fbem-20492	77	2			NUM
fbem-20492	77	3			NUM
fbem-20492	77	4			NOUN
fbem-20492	78	1			PROPN
fbem-20492	78	2			PROPN
fbem-20492	78	3			INTJ
fbem-20492	79	1			PROPN
fbem-20492	79	2			PROPN
fbem-20492	79	3			X
fbem-20492	79	4			VERB
fbem-20492	79	5	empirical	empirical	ADJ
fbem-20492	79	6	likelihood	likelihood	NOUN
fbem-20492	79	7	ratio	ratio	NOUN
fbem-20492	79	8	is	be	AUX
fbem-20492	79	9	established	establish	VERB
fbem-20492	79	10	by	by	ADP
fbem-20492	79	11	(	(	PUNCT
fbem-20492	79	12	)	)	PUNCT
fbem-20492	79	13	(	(	PUNCT
fbem-20492	79	14	)	)	PUNCT
fbem-20492	79	15	1	1	NUM
fbem-20492	79	16	(	(	PUNCT
fbem-20492	79	17	(	(	PUNCT
fbem-20492	79	18	)	)	PUNCT
fbem-20492	79	19	)	)	PUNCT
fbem-20492	79	20	2	2	NUM
fbem-20492	79	21	log	log	NOUN
fbem-20492	79	22	(	(	PUNCT
fbem-20492	79	23	(	(	PUNCT
fbem-20492	79	24	)	)	PUNCT
fbem-20492	79	25	)	)	PUNCT
fbem-20492	79	26	2	2	NUM
fbem-20492	79	27	log(1	log(1	NOUN
fbem-20492	79	28	)	)	PUNCT
fbem-20492	80	1	n	n	CCONJ
fbem-20492	80	2	r	r	NOUN
fbem-20492	80	3	r	r	NOUN
fbem-20492	81	1	i	i	PRON
fbem-20492	82	1	i	i	PRON
fbem-20492	82	2	l	l	NOUN
fbem-20492	83	1	f	f	X
fbem-20492	84	1	x	x	SYM
fbem-20492	84	2	r	r	NOUN
fbem-20492	84	3	f	f	X
fbem-20492	84	4	x	x	SYM
fbem-20492	84	5	s	s	VERB
fbem-20492	84	6			ADJ
fbem-20492	84	7			PROPN
fbem-20492	84	8			PROPN
fbem-20492	84	9			PROPN
fbem-20492	84	10			PRON
fbem-20492	84	11			X
fbem-20492	84	12	.	.	PUNCT
fbem-20492	85	1	where	where	SCONJ
fbem-20492	85	2	,	,	PUNCT
fbem-20492	85	3	s	s	VERB
fbem-20492	85	4	r	r	PROPN
fbem-20492	85	5	s	s	VERB
fbem-20492	85	6	is	be	AUX
fbem-20492	85	7	determined	determine	VERB
fbem-20492	85	8	by	by	ADP
fbem-20492	85	9	1	1	NUM
fbem-20492	85	10	1	1	NUM
fbem-20492	85	11	(	(	PUNCT
fbem-20492	85	12	)	)	PUNCT
fbem-20492	85	13	0	0	NUM
fbem-20492	85	14	1	1	NUM
fbem-20492	86	1	n	n	NOUN
fbem-20492	86	2	i	i	PRON
fbem-20492	87	1	i	i	PRON
fbem-20492	87	2	i	i	PRON
fbem-20492	87	3	s	s	VERB
fbem-20492	87	4	n	n	PRON
fbem-20492	87	5	s	s	ADP
fbem-20492	87	6			PROPN
fbem-20492	87	7			ADP
fbem-20492	88	1			ADJ
fbem-20492	88	2			PROPN
fbem-20492	88	3			ADJ
fbem-20492	88	4			PROPN
fbem-20492	88	5			X
fbem-20492	88	6	.	.	PUNCT
fbem-20492	89	1	kernel	kernel	PROPN
fbem-20492	89	2	estimator	estimator	NOUN
fbem-20492	89	3	of	of	ADP
fbem-20492	89	4	f(x	f(x	PROPN
fbem-20492	89	5	)	)	PUNCT
fbem-20492	89	6	is	be	AUX
fbem-20492	89	7	defined	define	VERB
fbem-20492	89	8	by	by	ADP
fbem-20492	89	9	i	i	NOUN
fbem-20492	89	10	=	=	SYM
fbem-20492	89	11	kr(x−x(i)1/ℎ𝑛	kr(x−x(i)1/ℎ𝑛	X
fbem-20492	89	12	)	)	PUNCT
fbem-20492	89	13	(	(	PUNCT
fbem-20492	89	14	)	)	PUNCT
fbem-20492	89	15	(	(	PUNCT
fbem-20492	89	16	)	)	PUNCT
fbem-20492	89	17	rf	rf	NOUN
fbem-20492	89	18	x	x	PROPN
fbem-20492	89	19	where	where	SCONJ
fbem-20492	89	20	ℎ𝑛	ℎ𝑛	PROPN
fbem-20492	89	21	is	be	AUX
fbem-20492	89	22	a	a	DET
fbem-20492	89	23	positive	positive	ADJ
fbem-20492	89	24	and	and	CCONJ
fbem-20492	89	25	smoothing	smooth	VERB
fbem-20492	89	26	bandwidth	bandwidth	NOUN
fbem-20492	89	27	,	,	PUNCT
fbem-20492	89	28	and	and	CCONJ
fbem-20492	89	29	lim𝑛→∞ℎ𝑛=0	lim𝑛→∞ℎ𝑛=0	NOUN
fbem-20492	89	30	.	.	PUNCT
fbem-20492	90	1	(	(	PUNCT
fbem-20492	90	2	)	)	PUNCT
fbem-20492	90	3	(	(	PUNCT
fbem-20492	90	4	)	)	PUNCT
fbem-20492	90	5	(	(	PUNCT
fbem-20492	90	6	)	)	PUNCT
fbem-20492	90	7	arg	arg	NOUN
fbem-20492	90	8	max	max	PROPN
fbem-20492	90	9	(	(	PUNCT
fbem-20492	90	10	(	(	PUNCT
fbem-20492	90	11	)	)	PUNCT
fbem-20492	90	12	)	)	PUNCT
fbem-20492	91	1	n	n	CCONJ
fbem-20492	91	2	r	r	NOUN
fbem-20492	91	3	rf	rf	NOUN
fbem-20492	91	4	x	x	NOUN
fbem-20492	91	5	r	r	NOUN
fbem-20492	91	6	f	f	PROPN
fbem-20492	91	7	x	x	PUNCT
fbem-20492	91	8	thus	thus	ADV
fbem-20492	91	9	,	,	PUNCT
fbem-20492	91	10	the	the	DET
fbem-20492	91	11	estimator	estimator	NOUN
fbem-20492	91	12	of	of	ADP
fbem-20492	91	13	β(x	β(x	PROPN
fbem-20492	91	14	)	)	PUNCT
fbem-20492	91	15	is	be	AUX
fbem-20492	91	16	shown	show	VERB
fbem-20492	91	17	by	by	ADP
fbem-20492	91	18			NOUN
fbem-20492	91	19			PROPN
fbem-20492	91	20	(	(	PUNCT
fbem-20492	91	21	1)1	1)1	NUM
fbem-20492	91	22	2	2	NUM
fbem-20492	91	23	(	(	PUNCT
fbem-20492	91	24	)	)	PUNCT
fbem-20492	91	25	(	(	PUNCT
fbem-20492	91	26	)	)	PUNCT
fbem-20492	91	27	(	(	PUNCT
fbem-20492	91	28	)	)	PUNCT
fbem-20492	91	29	(	(	PUNCT
fbem-20492	91	30	)	)	PUNCT
fbem-20492	91	31	n	n	CCONJ
fbem-20492	91	32	n	n	CCONJ
fbem-20492	91	33	nx	nx	NOUN
fbem-20492	91	34	u	u	NOUN
fbem-20492	91	35	x	x	PROPN
fbem-20492	91	36	f	f	X
fbem-20492	91	37	x	x	SYM
fbem-20492	91	38	u	u	NOUN
fbem-20492	91	39	x	x	NOUN
fbem-20492	91	40	f	f	PROPN
fbem-20492	91	41	x	x	PROPN
fbem-20492	91	42			PROPN
fbem-20492	91	43			PROPN
fbem-20492	91	44	(	(	PUNCT
fbem-20492	91	45	2.2	2.2	NUM
fbem-20492	91	46	)	)	PUNCT
fbem-20492	91	47	and	and	CCONJ
fbem-20492	91	48	,	,	PUNCT
fbem-20492	91	49	the	the	DET
fbem-20492	91	50	empirical	empirical	ADJ
fbem-20492	91	51	bayes	bayes	PROPN
fbem-20492	91	52	likelihood	likelihood	PROPN
fbem-20492	91	53	test	test	NOUN
fbem-20492	91	54	function	function	NOUN
fbem-20492	91	55	is	be	AUX
fbem-20492	91	56	defined	define	VERB
fbem-20492	91	57	as	as	SCONJ
fbem-20492	91	58	follows	follow	VERB
fbem-20492	91	59			NOUN
fbem-20492	91	60			SYM
fbem-20492	91	61			NOUN
fbem-20492	92	1			PUNCT
fbem-20492	92	2			NOUN
fbem-20492	92	3			PROPN
fbem-20492	92	4	1	1	NUM
fbem-20492	92	5	,	,	PUNCT
fbem-20492	92	6	0	0	NUM
fbem-20492	92	7	0	0	NUM
fbem-20492	92	8	,	,	PUNCT
fbem-20492	92	9	0	0	NUM
fbem-20492	92	10	n	n	CCONJ
fbem-20492	92	11	n	n	CCONJ
fbem-20492	92	12	n	n	NOUN
fbem-20492	92	13	x	x	NOUN
fbem-20492	92	14	x	x	SYM
fbem-20492	92	15	x	x	PUNCT
fbem-20492	92	16			PROPN
fbem-20492	92	17			NUM
fbem-20492	92	18			PROPN
fbem-20492	92	19			NOUN
fbem-20492	92	20			NOUN
fbem-20492	92	21			NUM
fbem-20492	92	22			SCONJ
fbem-20492	92	23	(	(	PUNCT
fbem-20492	92	24	2.3	2.3	NUM
fbem-20492	92	25	)	)	PUNCT
fbem-20492	92	26	let	let	VERB
fbem-20492	92	27	e	e	PRON
fbem-20492	92	28	stand	stand	VERB
fbem-20492	92	29	for	for	ADP
fbem-20492	92	30	mathematical	mathematical	ADJ
fbem-20492	92	31	expectation	expectation	NOUN
fbem-20492	92	32	with	with	ADP
fbem-20492	92	33	respect	respect	NOUN
fbem-20492	92	34	to	to	ADP
fbem-20492	92	35	the	the	DET
fbem-20492	92	36	joint	joint	ADJ
fbem-20492	92	37	distribution	distribution	NOUN
fbem-20492	92	38	of	of	ADP
fbem-20492	92	39	x(1)1	x(1)1	PROPN
fbem-20492	92	40	,	,	PUNCT
fbem-20492	92	41	x(1)m	x(1)m	PROPN
fbem-20492	92	42	,	,	PUNCT
fbem-20492	92	43	x(2)1	x(2)1	PROPN
fbem-20492	92	44	,	,	PUNCT
fbem-20492	92	45	x(2)mx(k)1	x(2)mx(k)1	PROPN
fbem-20492	92	46	,	,	PUNCT
fbem-20492	92	47	x(k)m	x(k)m	PROPN
fbem-20492	92	48	.	.	PUNCT
fbem-20492	93	1	then	then	ADV
fbem-20492	93	2	,	,	PUNCT
fbem-20492	93	3	the	the	DET
fbem-20492	93	4	overall	overall	ADJ
fbem-20492	93	5	bayes	bayes	PROPN
fbem-20492	93	6	risk	risk	NOUN
fbem-20492	93	7	of	of	ADP
fbem-20492	93	8	δn(𝑥	δn(𝑥	NOUN
fbem-20492	93	9	)	)	PUNCT
fbem-20492	93	10	is	be	AUX
fbem-20492	93	11	shown	show	VERB
fbem-20492	93	12	by	by	ADP
fbem-20492	93	13			NOUN
fbem-20492	93	14			PROPN
fbem-20492	93	15			PROPN
fbem-20492	93	16			NOUN
fbem-20492	93	17			PROPN
fbem-20492	93	18			NOUN
fbem-20492	93	19	,n	,n	PUNCT
fbem-20492	93	20	n	n	CCONJ
fbem-20492	93	21	gr	gr	INTJ
fbem-20492	93	22	x	x	SYM
fbem-20492	93	23	g	g	ADP
fbem-20492	93	24	a	a	DET
fbem-20492	93	25	x	x	X
fbem-20492	93	26	e	e	NOUN
fbem-20492	93	27	x	x	X
fbem-20492	93	28	dx	dx	PROPN
fbem-20492	93	29	c	c	PROPN
fbem-20492	93	30			PROPN
fbem-20492	93	31			PROPN
fbem-20492	93	32			NUM
fbem-20492	93	33			NOUN
fbem-20492	93	34			PROPN
fbem-20492	94	1	if	if	SCONJ
fbem-20492	94	2	lim𝑛→∞	lim𝑛→∞	NOUN
fbem-20492	94	3	r(δ𝑛,g)=r(δ𝐺,g),{δ𝑛(x	r(δ𝑛,g)=r(δ𝐺,g),{δ𝑛(x	NOUN
fbem-20492	94	4	)	)	PUNCT
fbem-20492	94	5	}	}	PUNCT
fbem-20492	94	6	is	be	AUX
fbem-20492	94	7	called	call	VERB
fbem-20492	94	8	asymptotic	asymptotic	ADJ
fbem-20492	94	9	optimality	optimality	NOUN
fbem-20492	94	10	of	of	ADP
fbem-20492	94	11	empirical	empirical	ADJ
fbem-20492	94	12	bayes	bayes	PROPN
fbem-20492	94	13	likelihood	likelihood	PROPN
fbem-20492	94	14	test	test	NOUN
fbem-20492	94	15	function	function	NOUN
fbem-20492	94	16	..	..	PUNCT
fbem-20492	94	17	before	before	ADP
fbem-20492	94	18	proving	prove	VERB
fbem-20492	94	19	the	the	DET
fbem-20492	94	20	theorems	theorem	NOUN
fbem-20492	94	21	,	,	PUNCT
fbem-20492	94	22	we	we	PRON
fbem-20492	94	23	need	need	VERB
fbem-20492	94	24	the	the	DET
fbem-20492	94	25	following	follow	VERB
fbem-20492	94	26	lemmas	lemmas	NOUN
fbem-20492	94	27	.	.	PUNCT
fbem-20492	95	1	supposed	suppose	VERB
fbem-20492	95	2	that	that	PRON
fbem-20492	95	3	c	c	NOUN
fbem-20492	95	4	,	,	PUNCT
fbem-20492	95	5	c1	c1	PROPN
fbem-20492	95	6	be	be	AUX
fbem-20492	95	7	different	different	ADJ
fbem-20492	95	8	constants	constant	NOUN
fbem-20492	95	9	in	in	ADP
fbem-20492	95	10	different	different	ADJ
fbem-20492	95	11	cases	case	NOUN
fbem-20492	95	12	even	even	ADV
fbem-20492	95	13	in	in	ADP
fbem-20492	95	14	the	the	DET
fbem-20492	95	15	same	same	ADJ
fbem-20492	95	16	expression	expression	NOUN
fbem-20492	95	17	.	.	PUNCT
fbem-20492	96	1	lemma	lemma	PROPN
fbem-20492	97	1	[	[	X
fbem-20492	97	2	15	15	NUM
fbem-20492	97	3	]	]	PUNCT
fbem-20492	97	4	.	.	PUNCT
fbem-20492	98	1	r(δ𝐺,g	r(δ𝐺,g	PROPN
fbem-20492	98	2	)	)	PUNCT
fbem-20492	98	3	and	and	CCONJ
fbem-20492	98	4	r(δ𝑛,g	r(δ𝑛,g	PROPN
fbem-20492	98	5	)	)	PUNCT
fbem-20492	98	6	are	be	AUX
fbem-20492	98	7	defined	define	VERB
fbem-20492	98	8	by	by	ADP
fbem-20492	98	9	above	above	ADV
fbem-20492	98	10	,	,	PUNCT
fbem-20492	98	11	then	then	ADV
fbem-20492	98	12	0≤r(δ𝑛,g)−r(δ𝐺,g)≤c∫|β(x)|𝑃(|β𝑛(x)−β(x)|≥|β(x)|)dxω	0≤r(δ𝑛,g)−r(δ𝐺,g)≤c∫|β(x)|𝑃(|β𝑛(x)−β(x)|≥|β(x)|)dxω	NOUN
fbem-20492	98	13	.	.	PUNCT
fbem-20492	99	1	3	3	X
fbem-20492	99	2	.	.	X
fbem-20492	99	3	asymptotic	asymptotic	ADJ
fbem-20492	99	4	optimality	optimality	NOUN
fbem-20492	99	5	of	of	ADP
fbem-20492	99	6	empirical	empirical	ADJ
fbem-20492	99	7	bayes	bayes	PROPN
fbem-20492	99	8	likelihood	likelihood	NOUN
fbem-20492	99	9	test	test	NOUN
fbem-20492	99	10	in	in	ADP
fbem-20492	99	11	ranked	rank	VERB
fbem-20492	99	12	set	set	ADJ
fbem-20492	99	13	sampling	sampling	NOUN
fbem-20492	99	14	theorem	theorem	NOUN
fbem-20492	99	15	3.1	3.1	NUM
fbem-20492	99	16	.	.	PUNCT
fbem-20492	100	1	assume	assume	VERB
fbem-20492	100	2	(	(	PUNCT
fbem-20492	100	3	a1	a1	NOUN
fbem-20492	100	4	)	)	PUNCT
fbem-20492	100	5	and	and	CCONJ
fbem-20492	100	6	the	the	DET
fbem-20492	100	7	following	follow	VERB
fbem-20492	100	8	regularity	regularity	NOUN
fbem-20492	100	9	conditions	condition	NOUN
fbem-20492	100	10	hold	hold	VERB
fbem-20492	100	11	.	.	PUNCT
fbem-20492	101	1	(	(	PUNCT
fbem-20492	101	2	1	1	X
fbem-20492	101	3	)	)	PUNCT
fbem-20492	101	4	ℎ𝑛>0	ℎ𝑛>0	PROPN
fbem-20492	101	5	,	,	PUNCT
fbem-20492	101	6	lim𝑛→∞ℎ𝑛=0	lim𝑛→∞ℎ𝑛=0	NOUN
fbem-20492	101	7	,	,	PUNCT
fbem-20492	101	8	(	(	PUNCT
fbem-20492	101	9	2	2	NUM
fbem-20492	101	10	)	)	PUNCT
fbem-20492	101	11	∫	∫	PROPN
fbem-20492	101	12	3	3	NUM
fbem-20492	101	13	dg(θ)<∞	dg(θ)<∞	NOUN
fbem-20492	101	14	,	,	PUNCT
fbem-20492	101	15	(	(	PUNCT
fbem-20492	101	16	3	3	X
fbem-20492	101	17	)	)	PUNCT
fbem-20492	101	18	𝑓	𝑓	PROPN
fbem-20492	101	19	(	(	PUNCT
fbem-20492	101	20	𝑥	𝑥	NOUN
fbem-20492	101	21	)	)	PUNCT
fbem-20492	101	22	is	be	AUX
fbem-20492	101	23	continuous	continuous	ADJ
fbem-20492	101	24	function	function	NOUN
fbem-20492	101	25	,	,	PUNCT
fbem-20492	101	26	then	then	ADV
fbem-20492	101	27	,	,	PUNCT
fbem-20492	101	28	lim𝑛→∞	lim𝑛→∞	PROPN
fbem-20492	101	29	r(δ𝑛	r(δ𝑛	PROPN
fbem-20492	101	30	,	,	PUNCT
fbem-20492	101	31	g)=r(δ𝐺,g	g)=r(δ𝐺,g	NOUN
fbem-20492	101	32	)	)	PUNCT
fbem-20492	101	33	.	.	PUNCT
fbem-20492	102	1	proof	proof	NOUN
fbem-20492	102	2	.	.	PUNCT
fbem-20492	103	1	lemma	lemma	PROPN
fbem-20492	103	2	1	1	NUM
fbem-20492	103	3	shows	show	VERB
fbem-20492	103	4	that	that	PRON
fbem-20492	103	5	0≤r(δ𝑛,g)−r(δ𝐺,g)≤𝑎∫|β(x)|𝑃(|β𝑛(x)−β(x)|≥|β(x)|)dxω	0≤r(δ𝑛,g)−r(δ𝐺,g)≤𝑎∫|β(x)|𝑃(|β𝑛(x)−β(x)|≥|β(x)|)dxω	NOUN
fbem-20492	103	6	.	.	PUNCT
fbem-20492	104	1	applying	apply	VERB
fbem-20492	104	2	fubini	fubini	ADJ
fbem-20492	104	3	theorem	theorem	NOUN
fbem-20492	104	4	,	,	PUNCT
fbem-20492	104	5	we	we	PRON
fbem-20492	104	6	have	have	VERB
fbem-20492	104	7	3	3	NUM
fbem-20492	104	8	0	0	NUM
fbem-20492	104	9	0	0	NUM
fbem-20492	104	10	(	(	PUNCT
fbem-20492	104	11	)	)	PUNCT
fbem-20492	104	12	)	)	PUNCT
fbem-20492	105	1	d	d	X
fbem-20492	105	2	(	(	PUNCT
fbem-20492	105	3	1	1	NUM
fbem-20492	105	4	)	)	PUNCT
fbem-20492	105	5	(	(	PUNCT
fbem-20492	105	6	3	3	X
fbem-20492	105	7	)	)	PUNCT
fbem-20492	105	8	(	(	PUNCT
fbem-20492	105	9	2	2	NUM
fbem-20492	105	10	)	)	PUNCT
fbem-20492	105	11	(	(	PUNCT
fbem-20492	105	12	1	1	NUM
fbem-20492	105	13	)	)	PUNCT
fbem-20492	105	14	(	(	PUNCT
fbem-20492	105	15	2	2	NUM
fbem-20492	105	16	)	)	PUNCT
fbem-20492	105	17	(	(	PUNCT
fbem-20492	105	18	)	)	PUNCT
fbem-20492	105	19	d	d	NOUN
fbem-20492	105	20	(	(	PUNCT
fbem-20492	105	21	)	)	PUNCT
fbem-20492	105	22	dx	dx	PROPN
fbem-20492	106	1	x	x	X
fbem-20492	106	2	f	f	X
fbem-20492	106	3	x	x	SYM
fbem-20492	106	4	g	g	PROPN
fbem-20492	106	5	x	x	PROPN
fbem-20492	106	6			PROPN
fbem-20492	107	1			PROPN
fbem-20492	107	2			PROPN
fbem-20492	107	3			PROPN
fbem-20492	107	4			X
fbem-20492	107	5			PROPN
fbem-20492	107	6			PROPN
fbem-20492	107	7			PROPN
fbem-20492	107	8			PROPN
fbem-20492	107	9			PROPN
fbem-20492	107	10			PROPN
fbem-20492	107	11			PUNCT
fbem-20492	107	12			PROPN
fbem-20492	107	13			PROPN
fbem-20492	107	14			PUNCT
fbem-20492	107	15			ADV
fbem-20492	107	16			NOUN
fbem-20492	107	17			PUNCT
fbem-20492	107	18			X
fbem-20492	107	19			NOUN
fbem-20492	107	20	2	2	NUM
fbem-20492	107	21	0	0	NUM
fbem-20492	107	22	0	0	NUM
fbem-20492	107	23	(	(	PUNCT
fbem-20492	107	24	1	1	NUM
fbem-20492	107	25	)	)	PUNCT
fbem-20492	107	26	(	(	PUNCT
fbem-20492	107	27	)	)	PUNCT
fbem-20492	107	28	d	d	NOUN
fbem-20492	107	29	(	(	PUNCT
fbem-20492	107	30	)	)	PUNCT
fbem-20492	107	31	d	d	NOUN
fbem-20492	107	32	(	(	PUNCT
fbem-20492	107	33	3	3	NUM
fbem-20492	107	34	2	2	NUM
fbem-20492	107	35	)	)	PUNCT
fbem-20492	107	36	(	(	PUNCT
fbem-20492	107	37	2	2	NUM
fbem-20492	107	38	)	)	PUNCT
fbem-20492	107	39	(	(	PUNCT
fbem-20492	107	40	)	)	PUNCT
fbem-20492	107	41	d	d	NOUN
fbem-20492	107	42	(	(	PUNCT
fbem-20492	107	43	)	)	PUNCT
fbem-20492	107	44	df	df	PROPN
fbem-20492	108	1	x	x	SYM
fbem-20492	108	2	g	g	NOUN
fbem-20492	108	3	x	x	X
fbem-20492	108	4	f	f	NOUN
fbem-20492	108	5	x	x	SYM
fbem-20492	108	6	g	g	NOUN
fbem-20492	108	7	x	x	PROPN
fbem-20492	108	8			PROPN
fbem-20492	108	9			PROPN
fbem-20492	108	10			NOUN
fbem-20492	108	11			X
fbem-20492	108	12			X
fbem-20492	108	13			PROPN
fbem-20492	108	14			PROPN
fbem-20492	108	15			PROPN
fbem-20492	108	16			PROPN
fbem-20492	108	17			PROPN
fbem-20492	108	18			PUNCT
fbem-20492	108	19			PROPN
fbem-20492	108	20			PROPN
fbem-20492	108	21			NUM
fbem-20492	108	22			ADP
fbem-20492	108	23			X
fbem-20492	108	24			PUNCT
fbem-20492	108	25	(	(	PUNCT
fbem-20492	108	26	1	1	X
fbem-20492	108	27	)	)	PUNCT
fbem-20492	108	28	(	(	PUNCT
fbem-20492	108	29	2	2	NUM
fbem-20492	108	30	)	)	PUNCT
fbem-20492	108	31	(	(	PUNCT
fbem-20492	108	32	)	)	PUNCT
fbem-20492	108	33	d	d	NOUN
fbem-20492	108	34	(	(	PUNCT
fbem-20492	108	35	)	)	PUNCT
fbem-20492	108	36	df	df	PROPN
fbem-20492	108	37	x	x	SYM
fbem-20492	108	38	g	g	PROPN
fbem-20492	108	39	x	x	X
fbem-20492	108	40			PROPN
fbem-20492	108	41			PROPN
fbem-20492	108	42			X
fbem-20492	108	43			X
fbem-20492	108	44			PROPN
fbem-20492	108	45			VERB
fbem-20492	108	46			NOUN
fbem-20492	108	47			PUNCT
fbem-20492	108	48			NOUN
fbem-20492	108	49	3	3	NUM
fbem-20492	108	50	0	0	NUM
fbem-20492	108	51	0	0	NUM
fbem-20492	108	52	(	(	PUNCT
fbem-20492	108	53	1	1	NUM
fbem-20492	108	54	)	)	PUNCT
fbem-20492	108	55	(	(	PUNCT
fbem-20492	108	56	3	3	NUM
fbem-20492	108	57	2	2	NUM
fbem-20492	108	58	)	)	PUNCT
fbem-20492	108	59	1	1	NUM
fbem-20492	108	60	d	d	NOUN
fbem-20492	108	61	(	(	PUNCT
fbem-20492	108	62	)	)	PUNCT
fbem-20492	108	63	(	(	PUNCT
fbem-20492	108	64	1	1	X
fbem-20492	108	65	)	)	PUNCT
fbem-20492	108	66	(	(	PUNCT
fbem-20492	108	67	2	2	X
fbem-20492	108	68	)	)	PUNCT
fbem-20492	108	69	d	d	NOUN
fbem-20492	108	70	(	(	PUNCT
fbem-20492	108	71	)	)	PUNCT
fbem-20492	108	72	.g	.g	PROPN
fbem-20492	108	73	g	g	PROPN
fbem-20492	108	74			PROPN
fbem-20492	108	75			X
fbem-20492	108	76			X
fbem-20492	108	77			PROPN
fbem-20492	108	78			PROPN
fbem-20492	108	79			PROPN
fbem-20492	108	80			PROPN
fbem-20492	108	81			PROPN
fbem-20492	108	82			PUNCT
fbem-20492	108	83			PROPN
fbem-20492	108	84			PROPN
fbem-20492	108	85			PUNCT
fbem-20492	108	86			PUNCT
fbem-20492	108	87			PROPN
fbem-20492	108	88			PROPN
fbem-20492	108	89			NOUN
fbem-20492	108	90			PUNCT
fbem-20492	108	91	denote	denote	VERB
fbem-20492	108	92			NOUN
fbem-20492	108	93	n	n	X
fbem-20492	108	94	x	x	PUNCT
fbem-20492	108	95	=	=	SYM
fbem-20492	108	96	|β(x)|𝑃(|β𝑛(x)−β(x)|≥|β(x)|	|β(x)|𝑃(|β𝑛(x)−β(x)|≥|β(x)|	PROPN
fbem-20492	108	97	)	)	PUNCT
fbem-20492	108	98	.	.	PUNCT
fbem-20492	109	1	obviously	obviously	ADV
fbem-20492	109	2	,	,	PUNCT
fbem-20492	109	3			PROPN
fbem-20492	109	4	n	n	NUM
fbem-20492	109	5	x	x	PROPN
fbem-20492	109	6	≤|β(x)|	≤|β(x)|	PROPN
fbem-20492	109	7	.	.	PUNCT
fbem-20492	110	1	then	then	ADV
fbem-20492	110	2	,	,	PUNCT
fbem-20492	110	3	by	by	ADP
fbem-20492	110	4	domain	domain	NOUN
fbem-20492	110	5	convergence	convergence	NOUN
fbem-20492	110	6	theorem	theorem	VERB
fbem-20492	110	7	,	,	PUNCT
fbem-20492	110	8	we	we	PRON
fbem-20492	110	9	get	get	AUX
fbem-20492	110	10	0≤lim𝑛→∞	0≤lim𝑛→∞	VERB
fbem-20492	110	11	r(δ𝑛	r(δ𝑛	ADJ
fbem-20492	110	12	,	,	PUNCT
fbem-20492	110	13	g)−r(δ𝐺	g)−r(δ𝐺	NOUN
fbem-20492	110	14	,	,	PUNCT
fbem-20492	110	15	g)≤∫[lim𝑛→∞	g)≤∫[lim𝑛→∞	NOUN
fbem-20492	110	16			NOUN
fbem-20492	110	17	n	n	NUM
fbem-20492	110	18	x	x	PROPN
fbem-20492	110	19	]	]	PUNCT
fbem-20492	110	20	ωⅆ𝑥.	ωⅆ𝑥.	NUM
fbem-20492	110	21	(	(	PUNCT
fbem-20492	110	22	3.1	3.1	NUM
fbem-20492	110	23	)	)	PUNCT
fbem-20492	110	24	next	next	ADV
fbem-20492	110	25	,	,	PUNCT
fbem-20492	110	26	we	we	PRON
fbem-20492	110	27	need	need	AUX
fbem-20492	110	28	prove	prove	VERB
fbem-20492	110	29	that	that	SCONJ
fbem-20492	110	30	lim𝑛→∞	lim𝑛→∞	PROPN
fbem-20492	110	31			NOUN
fbem-20492	110	32	n	n	NUM
fbem-20492	110	33	x	x	PUNCT
fbem-20492	111	1	=	=	SYM
fbem-20492	111	2	0	0	NUM
fbem-20492	111	3	holds	hold	VERB
fbem-20492	111	4	almost	almost	ADV
fbem-20492	111	5	everywhere	everywhere	ADV
fbem-20492	111	6	.	.	PUNCT
fbem-20492	112	1	by	by	ADP
fbem-20492	112	2	markov	markov	PROPN
fbem-20492	112	3	's	's	PART
fbem-20492	112	4	and	and	CCONJ
fbem-20492	112	5	jensen	jensen	PROPN
fbem-20492	112	6	's	's	PART
fbem-20492	112	7	inequality	inequality	NOUN
fbem-20492	112	8	,	,	PUNCT
fbem-20492	112	9	233	233	NUM
fbem-20492	112	10			NOUN
fbem-20492	112	11	lim	lim	PROPN
fbem-20492	112	12	0n	0n	NOUN
fbem-20492	112	13	n	n	CCONJ
fbem-20492	112	14	x	x	PROPN
fbem-20492	112	15			PROPN
fbem-20492	112	16			PROPN
fbem-20492	112	17			NUM
fbem-20492	112	18	(	(	PUNCT
fbem-20492	112	19	3.2	3.2	NUM
fbem-20492	112	20	)	)	PUNCT
fbem-20492	112	21	substituting	substituting	NOUN
fbem-20492	112	22	(	(	PUNCT
fbem-20492	112	23	3.2	3.2	NUM
fbem-20492	112	24	)	)	PUNCT
fbem-20492	112	25	into	into	ADP
fbem-20492	112	26	(	(	PUNCT
fbem-20492	112	27	3.1	3.1	NUM
fbem-20492	112	28	)	)	PUNCT
fbem-20492	112	29	,	,	PUNCT
fbem-20492	112	30	the	the	DET
fbem-20492	112	31	proof	proof	NOUN
fbem-20492	112	32	of	of	ADP
fbem-20492	112	33	theorem	theorem	ADJ
fbem-20492	112	34	3.1	3.1	NUM
fbem-20492	112	35	is	be	AUX
fbem-20492	112	36	finished	finish	VERB
fbem-20492	112	37	.	.	PUNCT
fbem-20492	113	1	acknowledgment	acknowledgment	NOUN
fbem-20492	113	2	this	this	DET
fbem-20492	113	3	paper	paper	NOUN
fbem-20492	113	4	was	be	AUX
fbem-20492	113	5	financially	financially	ADV
fbem-20492	113	6	supported	support	VERB
fbem-20492	113	7	by	by	ADP
fbem-20492	113	8	natural	natural	ADJ
fbem-20492	113	9	science	science	NOUN
fbem-20492	113	10	foundation	foundation	PROPN
fbem-20492	113	11	of	of	ADP
fbem-20492	113	12	china	china	PROPN
fbem-20492	113	13	(	(	PUNCT
fbem-20492	113	14	12161075	12161075	NUM
fbem-20492	113	15	)	)	PUNCT
fbem-20492	113	16	,	,	PUNCT
fbem-20492	113	17	natural	natural	ADJ
fbem-20492	113	18	science	science	NOUN
fbem-20492	113	19	foundation	foundation	PROPN
fbem-20492	113	20	of	of	ADP
fbem-20492	113	21	guangdong	guangdong	PROPN
fbem-20492	113	22	province	province	PROPN
fbem-20492	113	23	(	(	PUNCT
fbem-20492	113	24	2022a1515010978	2022a1515010978	PROPN
fbem-20492	113	25	;	;	PUNCT
fbem-20492	113	26	2024a1515011258	2024a1515011258	NUM
fbem-20492	113	27	)	)	PUNCT
fbem-20492	113	28	natural	natural	ADJ
fbem-20492	113	29	science	science	NOUN
fbem-20492	113	30	foundation	foundation	PROPN
fbem-20492	113	31	of	of	ADP
fbem-20492	113	32	jiangxi	jiangxi	PROPN
fbem-20492	113	33	province	province	PROPN
fbem-20492	113	34	(	(	PUNCT
fbem-20492	113	35	20122abc201006	20122abc201006	NUM
fbem-20492	113	36	)	)	PUNCT
fbem-20492	113	37	and	and	CCONJ
fbem-20492	113	38	natural	natural	ADJ
fbem-20492	113	39	science	science	NOUN
fbem-20492	113	40	foundation	foundation	NOUN
fbem-20492	113	41	of	of	ADP
fbem-20492	113	42	guangdong	guangdong	PROPN
fbem-20492	113	43	ocean	ocean	PROPN
fbem-20492	113	44	university	university	PROPN
fbem-20492	113	45	(	(	PUNCT
fbem-20492	113	46	r17083	r17083	PROPN
fbem-20492	113	47	,	,	PUNCT
fbem-20492	113	48	c17201,p16091	c17201,p16091	PROPN
fbem-20492	113	49	)	)	PUNCT
fbem-20492	113	50	.	.	PUNCT
fbem-20492	114	1	references	reference	NOUN
fbem-20492	114	2	[	[	X
fbem-20492	114	3	1	1	NUM
fbem-20492	114	4	]	]	X
fbem-20492	114	5	zhou	zhou	X
fbem-20492	114	6	,	,	PUNCT
fbem-20492	114	7	w	w	NOUN
fbem-20492	114	8	and	and	CCONJ
fbem-20492	114	9	jing	jing	PROPN
fbem-20492	114	10	,	,	PUNCT
fbem-20492	114	11	b.	b.	PROPN
fbem-20492	114	12	y	y	PROPN
fbem-20492	114	13	,	,	PUNCT
fbem-20492	114	14	smoothed	smooth	VERB
fbem-20492	114	15	empirical	empirical	ADJ
fbem-20492	114	16	likelihood	likelihood	NOUN
fbem-20492	114	17	confidence	confidence	NOUN
fbem-20492	114	18	intervals	interval	NOUN
fbem-20492	114	19	for	for	ADP
fbem-20492	114	20	the	the	DET
fbem-20492	114	21	difference	difference	NOUN
fbem-20492	114	22	of	of	ADP
fbem-20492	114	23	quantiles	quantile	NOUN
fbem-20492	114	24	,	,	PUNCT
fbem-20492	114	25	statist	statist	NOUN
fbem-20492	114	26	.	.	PUNCT
fbem-20492	115	1	sinica	sinica	PROPN
fbem-20492	115	2	,	,	PUNCT
fbem-20492	115	3	2003	2003	NUM
fbem-20492	115	4	,	,	PUNCT
fbem-20492	115	5	vol.13	vol.13	NOUN
fbem-20492	115	6	,	,	PUNCT
fbem-20492	115	7	p83	p83	PROPN
fbem-20492	115	8	-	-	PUNCT
fbem-20492	115	9	96	96	NUM
fbem-20492	115	10	.	.	PUNCT
fbem-20492	116	1	[	[	X
fbem-20492	116	2	2	2	NUM
fbem-20492	116	3	]	]	PUNCT
fbem-20492	116	4	keziou	keziou	NOUN
fbem-20492	116	5	,	,	PUNCT
fbem-20492	116	6	a	a	DET
fbem-20492	116	7	and	and	CCONJ
fbem-20492	116	8	leoni	leoni	NOUN
fbem-20492	116	9	-	-	PUNCT
fbem-20492	116	10	aubin	aubin	PROPN
fbem-20492	116	11	,	,	PUNCT
fbem-20492	116	12	s	s	PROPN
fbem-20492	116	13	,	,	PUNCT
fbem-20492	116	14	on	on	ADP
fbem-20492	116	15	empirical	empirical	ADJ
fbem-20492	116	16	likelihood	likelihood	NOUN
fbem-20492	116	17	for	for	ADP
fbem-20492	116	18	semiparametric	semiparametric	NOUN
fbem-20492	116	19	two	two	NUM
fbem-20492	116	20	-	-	PUNCT
fbem-20492	116	21	sample	sample	NOUN
fbem-20492	116	22	density	density	NOUN
fbem-20492	116	23	ratio	ratio	NOUN
fbem-20492	116	24	models	model	NOUN
fbem-20492	116	25	,	,	PUNCT
fbem-20492	116	26	j.	j.	PROPN
fbem-20492	116	27	statist	statist	PROPN
fbem-20492	116	28	.	.	PUNCT
fbem-20492	117	1	plann	plann	PROPN
fbem-20492	117	2	.	.	PUNCT
fbem-20492	118	1	inference	inference	NOUN
fbem-20492	118	2	,	,	PUNCT
fbem-20492	118	3	2008	2008	NUM
fbem-20492	118	4	,	,	PUNCT
fbem-20492	118	5	vol.138,p	vol.138,p	X
fbem-20492	118	6	915	915	NUM
fbem-20492	118	7	-	-	SYM
fbem-20492	118	8	928	928	NUM
fbem-20492	118	9	.	.	PUNCT
fbem-20492	119	1	[	[	X
fbem-20492	119	2	3	3	NUM
fbem-20492	119	3	]	]	X
fbem-20492	119	4	liu	liu	PROPN
fbem-20492	119	5	,	,	PUNCT
fbem-20492	119	6	y	y	PROPN
fbem-20492	119	7	and	and	CCONJ
fbem-20492	119	8	yu	yu	PROPN
fbem-20492	119	9	,	,	PUNCT
fbem-20492	119	10	c.	c.	PROPN
fbem-20492	119	11	w	w	PROPN
fbem-20492	119	12	,	,	PUNCT
fbem-20492	119	13	bartlett	bartlett	PROPN
fbem-20492	119	14	correctable	correctable	ADJ
fbem-20492	119	15	two	two	NUM
fbem-20492	119	16	-	-	PUNCT
fbem-20492	119	17	sample	sample	NOUN
fbem-20492	119	18	adjusted	adjust	VERB
fbem-20492	119	19	empirical	empirical	ADJ
fbem-20492	119	20	likelihood	likelihood	NOUN
fbem-20492	119	21	,	,	PUNCT
fbem-20492	119	22	j.	j.	PROPN
fbem-20492	119	23	multivariate	multivariate	PROPN
fbem-20492	119	24	.	.	PUNCT
fbem-20492	120	1	anal	anal	PROPN
fbem-20492	120	2	,	,	PUNCT
fbem-20492	120	3	2010	2010	NUM
fbem-20492	120	4	,	,	PUNCT
fbem-20492	120	5	vol.101,p	vol.101,p	X
fbem-20492	120	6	1701	1701	NUM
fbem-20492	120	7	-	-	SYM
fbem-20492	120	8	1711	1711	NUM
fbem-20492	120	9	.	.	PUNCT
fbem-20492	121	1	[	[	X
fbem-20492	121	2	4	4	NUM
fbem-20492	121	3	]	]	X
fbem-20492	121	4	qin	qin	X
fbem-20492	121	5	,	,	PUNCT
fbem-20492	121	6	y.	y.	PROPN
fbem-20492	121	7	s	s	PROPN
fbem-20492	121	8	and	and	CCONJ
fbem-20492	121	9	zhang	zhang	PROPN
fbem-20492	121	10	,	,	PUNCT
fbem-20492	121	11	s.	s.	PROPN
fbem-20492	121	12	c	c	PROPN
fbem-20492	121	13	,	,	PUNCT
fbem-20492	121	14	empirical	empirical	ADJ
fbem-20492	121	15	likelihood	likelihood	NOUN
fbem-20492	121	16	confidence	confidence	NOUN
fbem-20492	121	17	intervals	interval	NOUN
fbem-20492	121	18	for	for	ADP
fbem-20492	121	19	difference	difference	NOUN
fbem-20492	121	20	between	between	ADP
fbem-20492	121	21	two	two	NUM
fbem-20492	121	22	data	data	NOUN
fbem-20492	121	23	sets	set	NOUN
fbem-20492	121	24	with	with	ADP
fbem-20492	121	25	missing	miss	VERB
fbem-20492	121	26	data	datum	NOUN
fbem-20492	121	27	,	,	PUNCT
fbem-20492	121	28	pattern	pattern	NOUN
fbem-20492	121	29	.	.	PUNCT
fbem-20492	122	1	recognit	recognit	PROPN
fbem-20492	122	2	.	.	PUNCT
fbem-20492	123	1	lett	lett	PROPN
fbem-20492	123	2	,	,	PUNCT
fbem-20492	123	3	2008	2008	NUM
fbem-20492	123	4	,	,	PUNCT
fbem-20492	123	5	vol.29,p	vol.29,p	VERB
fbem-20492	123	6	903	903	NUM
fbem-20492	123	7	-	-	SYM
fbem-20492	123	8	812	812	NUM
fbem-20492	123	9	.	.	PUNCT
fbem-20492	124	1	[	[	X
fbem-20492	124	2	5	5	NUM
fbem-20492	124	3	]	]	PUNCT
fbem-20492	124	4	shen	shen	NOUN
fbem-20492	124	5	,	,	PUNCT
fbem-20492	124	6	j.	j.	PROPN
fbem-20492	124	7	s	s	PROPN
fbem-20492	124	8	&	&	CCONJ
fbem-20492	124	9	he	he	PRON
fbem-20492	124	10	,	,	PUNCT
fbem-20492	124	11	s.y	s.y	PROPN
fbem-20492	124	12	.	.	PROPN
fbem-20492	124	13	empirical	empirical	ADJ
fbem-20492	124	14	likelihood	likelihood	NOUN
fbem-20492	124	15	for	for	ADP
fbem-20492	124	16	the	the	DET
fbem-20492	124	17	difference	difference	NOUN
fbem-20492	124	18	of	of	ADP
fbem-20492	124	19	quantiles	quantile	NOUN
fbem-20492	124	20	under	under	ADP
fbem-20492	124	21	censorship	censorship	NOUN
fbem-20492	124	22	,	,	PUNCT
fbem-20492	124	23	stat	stat	PROPN
fbem-20492	124	24	.	.	PUNCT
fbem-20492	125	1	papers	paper	NOUN
fbem-20492	125	2	,	,	PUNCT
fbem-20492	125	3	2007	2007	NUM
fbem-20492	125	4	,	,	PUNCT
fbem-20492	125	5	48:437	48:437	NUM
fbem-20492	125	6	-	-	SYM
fbem-20492	125	7	457	457	NUM
fbem-20492	125	8	.	.	PUNCT
fbem-20492	126	1	[	[	X
fbem-20492	126	2	6	6	NUM
fbem-20492	126	3	]	]	X
fbem-20492	126	4	zhou	zhou	PROPN
fbem-20492	126	5	,	,	PUNCT
fbem-20492	126	6	y.	y.	PROPN
fbem-20492	126	7	&	&	CCONJ
fbem-20492	126	8	liang	liang	PROPN
fbem-20492	126	9	,	,	PUNCT
fbem-20492	126	10	h.	h.	PROPN
fbem-20492	126	11	empirical	empirical	ADJ
fbem-20492	126	12	-	-	PUNCT
fbem-20492	126	13	likelihood	likelihood	NOUN
fbem-20492	126	14	-	-	PUNCT
fbem-20492	126	15	based	base	VERB
fbem-20492	126	16	semiparametric	semiparametric	NOUN
fbem-20492	126	17	inference	inference	NOUN
fbem-20492	126	18	for	for	ADP
fbem-20492	126	19	the	the	DET
fbem-20492	126	20	treatment	treatment	NOUN
fbem-20492	126	21	effect	effect	NOUN
fbem-20492	126	22	in	in	ADP
fbem-20492	126	23	the	the	DET
fbem-20492	126	24	twosample	twosample	ADJ
fbem-20492	126	25	problem	problem	NOUN
fbem-20492	126	26	with	with	ADP
fbem-20492	126	27	censoring	censor	VERB
fbem-20492	126	28	,	,	PUNCT
fbem-20492	126	29	biometrika	biometrika	NOUN
fbem-20492	126	30	,	,	PUNCT
fbem-20492	126	31	2005	2005	NUM
fbem-20492	126	32	,	,	PUNCT
fbem-20492	126	33	92:271	92:271	NUM
fbem-20492	126	34	-	-	SYM
fbem-20492	126	35	282	282	NUM
fbem-20492	126	36	.	.	PUNCT
fbem-20492	127	1	[	[	X
fbem-20492	127	2	7	7	NUM
fbem-20492	127	3	]	]	SYM
fbem-20492	127	4	su	su	PROPN
fbem-20492	127	5	,	,	PUNCT
fbem-20492	127	6	h.	h.	PROPN
fbem-20492	127	7	&	&	CCONJ
fbem-20492	127	8	liang	liang	PROPN
fbem-20492	127	9	h.	h.	PROPN
fbem-20492	127	10	an	an	DET
fbem-20492	127	11	empirical	empirical	ADJ
fbem-20492	127	12	likelihood	likelihood	NOUN
fbem-20492	127	13	-	-	PUNCT
fbem-20492	127	14	based	base	VERB
fbem-20492	127	15	method	method	NOUN
fbem-20492	127	16	for	for	ADP
fbem-20492	127	17	comparison	comparison	NOUN
fbem-20492	127	18	of	of	ADP
fbem-20492	127	19	treatment	treatment	NOUN
fbem-20492	127	20	effects	effect	NOUN
fbem-20492	127	21	-	-	PUNCT
fbem-20492	127	22	test	test	NOUN
fbem-20492	127	23	of	of	ADP
fbem-20492	127	24	equality	equality	NOUN
fbem-20492	127	25	of	of	ADP
fbem-20492	127	26	coefficients	coefficient	NOUN
fbem-20492	127	27	in	in	ADP
fbem-20492	127	28	linear	linear	ADJ
fbem-20492	127	29	models	model	NOUN
fbem-20492	127	30	,	,	PUNCT
fbem-20492	127	31	comput	comput	NOUN
fbem-20492	127	32	.	.	PUNCT
fbem-20492	128	1	stat	stat	PROPN
fbem-20492	128	2	.	.	PUNCT
fbem-20492	129	1	data	data	PROPN
fbem-20492	129	2	.	.	PUNCT
fbem-20492	130	1	an	an	DET
fbem-20492	130	2	,	,	PUNCT
fbem-20492	130	3	2010	2010	NUM
fbem-20492	130	4	,	,	PUNCT
fbem-20492	130	5	54	54	NUM
fbem-20492	130	6	:	:	PUNCT
fbem-20492	130	7	1079	1079	NUM
fbem-20492	130	8	-	-	SYM
fbem-20492	130	9	1088	1088	NUM
fbem-20492	130	10	.	.	PUNCT
fbem-20492	131	1	[	[	X
fbem-20492	131	2	8	8	NUM
fbem-20492	131	3	]	]	X
fbem-20492	131	4	mcintyre	mcintyre	PROPN
fbem-20492	131	5	g	g	PROPN
fbem-20492	131	6	a.	a.	PROPN
fbem-20492	131	7	a	a	DET
fbem-20492	131	8	method	method	NOUN
fbem-20492	131	9	for	for	ADP
fbem-20492	131	10	unbiased	unbiased	ADJ
fbem-20492	131	11	selective	selective	ADJ
fbem-20492	131	12	sampling	sampling	NOUN
fbem-20492	131	13	,	,	PUNCT
fbem-20492	131	14	using	use	VERB
fbem-20492	131	15	ranked	rank	VERB
fbem-20492	131	16	sets	set	NOUN
fbem-20492	131	17	(	(	PUNCT
fbem-20492	131	18	aust	aust	PROPN
fbem-20492	131	19	j	j	PROPN
fbem-20492	131	20	agric	agric	PROPN
fbem-20492	131	21	res	re	NOUN
fbem-20492	131	22	3	3	NUM
fbem-20492	131	23	,	,	PUNCT
fbem-20492	131	24	1952	1952	NUM
fbem-20492	131	25	)	)	PUNCT
fbem-20492	131	26	p.385	p.385	PROPN
fbem-20492	131	27	-	-	SYM
fbem-20492	131	28	390	390	NUM
fbem-20492	131	29	.	.	PUNCT
fbem-20492	132	1	[	[	X
fbem-20492	132	2	9	9	NUM
fbem-20492	132	3	]	]	X
fbem-20492	132	4	chen	chen	PROPN
fbem-20492	132	5	z	z	PROPN
fbem-20492	132	6	h	h	PROPN
fbem-20492	132	7	,	,	PUNCT
fbem-20492	132	8	bai	bai	PROPN
fbem-20492	132	9	z	z	PROPN
fbem-20492	132	10	d	d	PROPN
fbem-20492	132	11	,	,	PUNCT
fbem-20492	132	12	sinha	sinha	PROPN
fbem-20492	132	13	b	b	PROPN
fbem-20492	132	14	k.	k.	PROPN
fbem-20492	132	15	ranked	rank	VERB
fbem-20492	132	16	set	set	ADJ
fbem-20492	132	17	sampling	sampling	NOUN
fbem-20492	132	18	:	:	PUNCT
fbem-20492	132	19	theory	theory	NOUN
fbem-20492	132	20	and	and	CCONJ
fbem-20492	132	21	applications	application	NOUN
fbem-20492	132	22	(	(	PUNCT
fbem-20492	132	23	springer	springer	NOUN
fbem-20492	132	24	2003	2003	NUM
fbem-20492	132	25	)	)	PUNCT
fbem-20492	132	26	.	.	PUNCT
fbem-20492	133	1	[	[	X
fbem-20492	133	2	10	10	NUM
fbem-20492	133	3	]	]	X
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fbem-20492	133	5	,	,	PUNCT
fbem-20492	133	6	h.	h.	NOUN
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fbem-20492	133	8	empirical	empirical	ADJ
fbem-20492	133	9	bayes	bayes	NOUN
fbem-20492	133	10	approach	approach	NOUN
fbem-20492	133	11	to	to	ADP
fbem-20492	133	12	statistics	statistic	NOUN
fbem-20492	133	13	,	,	PUNCT
fbem-20492	133	14	proc	proc	NOUN
fbem-20492	133	15	.	.	PUNCT
fbem-20492	133	16	third	third	PROPN
fbem-20492	133	17	berkeley	berkeley	PROPN
fbem-20492	133	18	symp	symp	PROPN
fbem-20492	133	19	.	.	PUNCT
fbem-20492	134	1	math	math	PROPN
fbem-20492	134	2	.	.	PUNCT
fbem-20492	135	1	statist	statist	PROPN
fbem-20492	135	2	.	.	PUNCT
fbem-20492	136	1	prob	prob	PROPN
fbem-20492	136	2	,	,	PUNCT
fbem-20492	136	3	vol	vol	NOUN
fbem-20492	136	4	.	.	PROPN
fbem-20492	136	5	1	1	NUM
fbem-20492	136	6	(	(	PUNCT
fbem-20492	136	7	1955	1955	NUM
fbem-20492	136	8	)	)	PUNCT
fbem-20492	136	9	,	,	PUNCT
fbem-20492	136	10	p.157	p.157	PROPN
fbem-20492	136	11	-	-	PROPN
fbem-20492	136	12	-163	-163	PROPN
fbem-20492	136	13	.	.	PUNCT
fbem-20492	137	1	[	[	X
fbem-20492	137	2	11	11	NUM
fbem-20492	137	3	]	]	X
fbem-20492	137	4	karunamuni	karunamuni	PROPN
fbem-20492	137	5	,	,	PUNCT
fbem-20492	137	6	r.	r.	PROPN
fbem-20492	137	7	j	j	PROPN
fbem-20492	137	8	,	,	PUNCT
fbem-20492	137	9	li	li	PROPN
fbem-20492	137	10	,	,	PUNCT
fbem-20492	137	11	j	j	PROPN
fbem-20492	137	12	,	,	PUNCT
fbem-20492	137	13	wu	wu	PROPN
fbem-20492	137	14	,	,	PUNCT
fbem-20492	137	15	j.	j.	PROPN
fbem-20492	137	16	robust	robust	ADJ
fbem-20492	137	17	empirical	empirical	ADJ
fbem-20492	137	18	bayes	bayes	NOUN
fbem-20492	137	19	tests	test	VERB
fbem-20492	137	20	for	for	ADP
fbem-20492	137	21	continuous	continuous	ADJ
fbem-20492	137	22	distributions	distribution	NOUN
fbem-20492	137	23	,	,	PUNCT
fbem-20492	137	24	journal	journal	NOUN
fbem-20492	137	25	of	of	ADP
fbem-20492	137	26	statistical	statistical	ADJ
fbem-20492	137	27	planning	planning	NOUN
fbem-20492	137	28	and	and	CCONJ
fbem-20492	137	29	inference	inference	NOUN
fbem-20492	137	30	,	,	PUNCT
fbem-20492	137	31	vol	vol	NOUN
fbem-20492	137	32	.	.	PROPN
fbem-20492	138	1	140	140	NUM
fbem-20492	138	2	(	(	PUNCT
fbem-20492	138	3	2010	2010	NUM
fbem-20492	138	4	)	)	PUNCT
fbem-20492	138	5	no.1	no.1	NUM
fbem-20492	138	6	,	,	PUNCT
fbem-20492	138	7	p.268	p.268	NOUN
fbem-20492	138	8	-	-	PUNCT
fbem-20492	138	9	282	282	NUM
fbem-20492	138	10	.	.	PUNCT
fbem-20492	139	1	[	[	X
fbem-20492	139	2	12	12	NUM
fbem-20492	139	3	]	]	PUNCT
fbem-20492	139	4	xinyi	xinyi	PROPN
fbem-20492	139	5	xu	xu	PROPN
fbem-20492	139	6	,	,	PUNCT
fbem-20492	139	7	dunke	dunke	PROPN
fbem-20492	139	8	zhou	zhou	PROPN
fbem-20492	139	9	.	.	PUNCT
fbem-20492	140	1	empirical	empirical	ADJ
fbem-20492	140	2	bayes	bayes	PROPN
fbem-20492	140	3	predictive	predictive	ADJ
fbem-20492	140	4	densities	density	NOUN
fbem-20492	140	5	for	for	ADP
fbem-20492	140	6	high	high	ADV
fbem-20492	140	7	-	-	PUNCT
fbem-20492	140	8	dimensional	dimensional	ADJ
fbem-20492	140	9	normal	normal	ADJ
fbem-20492	140	10	models	model	NOUN
fbem-20492	140	11	,	,	PUNCT
fbem-20492	140	12	journal	journal	NOUN
fbem-20492	140	13	of	of	ADP
fbem-20492	140	14	multivariate	multivariate	NOUN
fbem-20492	140	15	analysis	analysis	NOUN
fbem-20492	140	16	,	,	PUNCT
fbem-20492	140	17	vol	vol	NOUN
fbem-20492	140	18	.	.	PUNCT
fbem-20492	141	1	102	102	NUM
fbem-20492	141	2	(	(	PUNCT
fbem-20492	141	3	2011	2011	NUM
fbem-20492	141	4	)	)	PUNCT
fbem-20492	141	5	no.10	no.10	ADJ
fbem-20492	141	6	,	,	PUNCT
fbem-20492	141	7	p.1417	p.1417	NOUN
fbem-20492	141	8	-	-	SYM
fbem-20492	141	9	1428	1428	NUM
fbem-20492	141	10	.	.	PUNCT
fbem-20492	142	1	[	[	X
fbem-20492	142	2	13	13	NUM
fbem-20492	142	3	]	]	X
fbem-20492	142	4	johns	johns	PROPN
fbem-20492	142	5	m	m	PROPN
fbem-20492	142	6	vjr	vjr	PROPN
fbem-20492	142	7	,	,	PUNCT
fbem-20492	142	8	van	van	PROPN
fbem-20492	142	9	ryzin	ryzin	PROPN
fbem-20492	142	10	j	j	PROPN
fbem-20492	142	11	r.	r.	PROPN
fbem-20492	142	12	convergence	convergence	PROPN
fbem-20492	142	13	rates	rate	NOUN
fbem-20492	142	14	in	in	ADP
fbem-20492	142	15	empirical	empirical	ADJ
fbem-20492	142	16	bayes	baye	NOUN
fbem-20492	142	17	two	two	NUM
fbem-20492	142	18	-	-	PUNCT
fbem-20492	142	19	action	action	NOUN
fbem-20492	142	20	problems	problem	NOUN
fbem-20492	142	21	2	2	NUM
fbem-20492	142	22	:	:	PUNCT
fbem-20492	142	23	continuous	continuous	ADJ
fbem-20492	142	24	case	case	NOUN
fbem-20492	142	25	.	.	PUNCT
fbem-20492	143	1	ann	ann	PROPN
fbem-20492	143	2	.	.	PUNCT
fbem-20492	143	3	math	math	PROPN
fbem-20492	143	4	.	.	PUNCT
fbem-20492	144	1	statist	statist	PROPN
fbem-20492	144	2	.	.	PUNCT
fbem-20492	145	1	vol	vol	NOUN
fbem-20492	145	2	.	.	PUNCT
fbem-20492	146	1	43	43	NUM
fbem-20492	146	2	(	(	PUNCT
fbem-20492	146	3	1972	1972	NUM
fbem-20492	146	4	)	)	PUNCT
fbem-20492	146	5	,	,	PUNCT
fbem-20492	146	6	p.934	p.934	NOUN
fbem-20492	146	7	-	-	SYM
fbem-20492	146	8	937	937	NUM
fbem-20492	146	9	.	.	PUNCT
fbem-20492	147	1	[	[	X
fbem-20492	147	2	14	14	NUM
fbem-20492	147	3	]	]	PUNCT
fbem-20492	147	4	lichun	lichun	PROPN
fbem-20492	147	5	wang	wang	PROPN
fbem-20492	147	6	,	,	PUNCT
fbem-20492	147	7	radhey	radhey	PROPN
fbem-20492	147	8	s.	s.	PROPN
fbem-20492	147	9	singh	singh	PROPN
fbem-20492	147	10	.	.	PUNCT
fbem-20492	148	1	linear	linear	PROPN
fbem-20492	148	2	bayes	bayes	PROPN
fbem-20492	148	3	estimator	estimator	NOUN
fbem-20492	148	4	for	for	ADP
fbem-20492	148	5	the	the	DET
fbem-20492	148	6	two	two	NUM
fbem-20492	148	7	-	-	PUNCT
fbem-20492	148	8	parameter	parameter	NOUN
fbem-20492	148	9	exponential	exponential	ADJ
fbem-20492	148	10	family	family	NOUN
fbem-20492	148	11	under	under	ADP
fbem-20492	148	12	type	type	NOUN
fbem-20492	148	13	ii	ii	PROPN
fbem-20492	148	14	censoring	censor	VERB
fbem-20492	148	15	.	.	PUNCT
fbem-20492	149	1	computational	computational	ADJ
fbem-20492	149	2	statistics	statistic	NOUN
fbem-20492	149	3	&	&	CCONJ
fbem-20492	149	4	data	datum	NOUN
fbem-20492	149	5	analysis	analysis	NOUN
fbem-20492	149	6	,	,	PUNCT
fbem-20492	149	7	vol	vol	NOUN
fbem-20492	149	8	.	.	PUNCT
fbem-20492	149	9	71	71	NUM
fbem-20492	149	10	(	(	PUNCT
fbem-20492	149	11	2014	2014	NUM
fbem-20492	149	12	)	)	PUNCT
fbem-20492	149	13	,	,	PUNCT
fbem-20492	149	14	p.633	p.633	NOUN
fbem-20492	149	15	-	-	SYM
fbem-20492	149	16	642	642	NUM
fbem-20492	149	17	.	.	PUNCT
fbem-20492	150	1	[	[	X
fbem-20492	150	2	15	15	NUM
fbem-20492	150	3	]	]	X
fbem-20492	150	4	naiyi	naiyi	PROPN
fbem-20492	150	5	li	li	PROPN
fbem-20492	150	6	,	,	PUNCT
fbem-20492	150	7	yuan	yuan	PROPN
fbem-20492	150	8	li	li	PROPN
fbem-20492	150	9	,	,	PUNCT
fbem-20492	150	10	yongming	yongming	PROPN
fbem-20492	150	11	li	li	PROPN
fbem-20492	150	12	,	,	PUNCT
fbem-20492	150	13	yang	yang	PROPN
fbem-20492	150	14	liu	liu	PROPN
fbem-20492	150	15	.	.	PUNCT
fbem-20492	151	1	empirical	empirical	ADJ
fbem-20492	151	2	bayes	bayes	PROPN
fbem-20492	151	3	inference	inference	PROPN
fbem-20492	151	4	for	for	ADP
fbem-20492	151	5	the	the	DET
fbem-20492	151	6	parameter	parameter	NOUN
fbem-20492	151	7	of	of	ADP
fbem-20492	151	8	power	power	NOUN
fbem-20492	151	9	distribution	distribution	NOUN
fbem-20492	151	10	based	base	VERB
fbem-20492	151	11	on	on	ADP
fbem-20492	151	12	ranked	rank	VERB
fbem-20492	151	13	set	set	ADJ
fbem-20492	151	14	sampling	sampling	NOUN
fbem-20492	151	15	.	.	PUNCT
fbem-20492	152	1	discrete	discrete	ADJ
fbem-20492	152	2	dynamics	dynamic	NOUN
fbem-20492	152	3	in	in	ADP
fbem-20492	152	4	nature	nature	NOUN
fbem-20492	152	5	and	and	CCONJ
fbem-20492	152	6	society	society	NOUN
fbem-20492	152	7	,	,	PUNCT
fbem-20492	152	8	(	(	PUNCT
fbem-20492	152	9	2015	2015	NUM
fbem-20492	152	10	)	)	PUNCT
fbem-20492	152	11	,	,	PUNCT
fbem-20492	152	12	p.1	p.1	NOUN
fbem-20492	152	13	-	-	SYM
fbem-20492	152	14	5	5	NUM