id	sid	tid	token	lemma	pos
ejpam-3519	1	1	european	european	PROPN
ejpam-3519	1	2	journal	journal	PROPN
ejpam-3519	1	3	of	of	ADP
ejpam-3519	1	4	pure	pure	ADJ
ejpam-3519	1	5	and	and	CCONJ
ejpam-3519	1	6	applied	apply	VERB
ejpam-3519	1	7	mathematics	mathematic	NOUN
ejpam-3519	1	8	vol	vol	NOUN
ejpam-3519	1	9	.	.	PROPN
ejpam-3519	2	1	12	12	NUM
ejpam-3519	2	2	,	,	PUNCT
ejpam-3519	2	3	no	no	INTJ
ejpam-3519	2	4	.	.	NOUN
ejpam-3519	2	5	4	4	NUM
ejpam-3519	2	6	,	,	PUNCT
ejpam-3519	2	7	2019	2019	NUM
ejpam-3519	2	8	,	,	PUNCT
ejpam-3519	2	9	1612	1612	NUM
ejpam-3519	2	10	-	-	SYM
ejpam-3519	2	11	1642	1642	NUM
ejpam-3519	2	12	issn	issn	PROPN
ejpam-3519	2	13	1307	1307	NUM
ejpam-3519	2	14	-	-	SYM
ejpam-3519	2	15	5543	5543	NUM
ejpam-3519	2	16	–	–	PUNCT
ejpam-3519	2	17	www.ejpam.com	www.ejpam.com	X
ejpam-3519	2	18	published	publish	VERB
ejpam-3519	2	19	by	by	ADP
ejpam-3519	2	20	new	new	PROPN
ejpam-3519	2	21	york	york	PROPN
ejpam-3519	2	22	business	business	PROPN
ejpam-3519	2	23	global	global	ADJ
ejpam-3519	2	24	density	density	NOUN
ejpam-3519	2	25	and	and	CCONJ
ejpam-3519	2	26	risk	risk	NOUN
ejpam-3519	2	27	function	function	NOUN
ejpam-3519	2	28	of	of	ADP
ejpam-3519	2	29	circular	circular	ADJ
ejpam-3519	2	30	kernel	kernel	NOUN
ejpam-3519	2	31	study	study	NOUN
ejpam-3519	2	32	didier	didier	PROPN
ejpam-3519	2	33	alain	alain	PROPN
ejpam-3519	2	34	njamen	njamen	PROPN
ejpam-3519	2	35	njomen1,∗	njomen1,∗	PROPN
ejpam-3519	2	36	,	,	PUNCT
ejpam-3519	2	37	hubert	hubert	PROPN
ejpam-3519	2	38	clovis	clovis	PROPN
ejpam-3519	2	39	yayebga1	yayebga1	PROPN
ejpam-3519	2	40	1	1	NUM
ejpam-3519	2	41	department	department	NOUN
ejpam-3519	2	42	of	of	ADP
ejpam-3519	2	43	mathematics	mathematic	NOUN
ejpam-3519	2	44	and	and	CCONJ
ejpam-3519	2	45	computer	computer	NOUN
ejpam-3519	2	46	’s	’s	PART
ejpam-3519	2	47	science	science	NOUN
ejpam-3519	2	48	,	,	PUNCT
ejpam-3519	2	49	faculty	faculty	NOUN
ejpam-3519	2	50	of	of	ADP
ejpam-3519	2	51	science	science	NOUN
ejpam-3519	2	52	,	,	PUNCT
ejpam-3519	2	53	university	university	NOUN
ejpam-3519	2	54	of	of	ADP
ejpam-3519	2	55	maroua	maroua	ADJ
ejpam-3519	2	56	,	,	PUNCT
ejpam-3519	2	57	maroua	maroua	ADJ
ejpam-3519	2	58	,	,	PUNCT
ejpam-3519	2	59	cameroon	cameroon	PROPN
ejpam-3519	2	60	abstract	abstract	NOUN
ejpam-3519	2	61	.	.	PUNCT
ejpam-3519	3	1	in	in	ADP
ejpam-3519	3	2	this	this	DET
ejpam-3519	3	3	article	article	NOUN
ejpam-3519	3	4	,	,	PUNCT
ejpam-3519	3	5	based	base	VERB
ejpam-3519	3	6	on	on	ADP
ejpam-3519	3	7	the	the	DET
ejpam-3519	3	8	works	work	NOUN
ejpam-3519	3	9	of	of	ADP
ejpam-3519	3	10	[	[	X
ejpam-3519	3	11	18	18	NUM
ejpam-3519	3	12	]	]	PUNCT
ejpam-3519	3	13	,	,	PUNCT
ejpam-3519	3	14	[	[	X
ejpam-3519	3	15	22	22	NUM
ejpam-3519	3	16	]	]	PUNCT
ejpam-3519	3	17	and	and	CCONJ
ejpam-3519	3	18	[	[	X
ejpam-3519	3	19	26	26	NUM
ejpam-3519	3	20	]	]	PUNCT
ejpam-3519	3	21	on	on	ADP
ejpam-3519	3	22	the	the	DET
ejpam-3519	3	23	estimation	estimation	NOUN
ejpam-3519	3	24	of	of	ADP
ejpam-3519	3	25	the	the	DET
ejpam-3519	3	26	survival	survival	NOUN
ejpam-3519	3	27	function	function	NOUN
ejpam-3519	3	28	and	and	CCONJ
ejpam-3519	3	29	the	the	DET
ejpam-3519	3	30	function	function	NOUN
ejpam-3519	3	31	of	of	ADP
ejpam-3519	3	32	risk	risk	NOUN
ejpam-3519	3	33	in	in	ADP
ejpam-3519	3	34	independent	independent	ADJ
ejpam-3519	3	35	cases	case	NOUN
ejpam-3519	3	36	and	and	CCONJ
ejpam-3519	3	37	identically	identically	ADV
ejpam-3519	3	38	distributed	distribute	VERB
ejpam-3519	3	39	with	with	ADP
ejpam-3519	3	40	and	and	CCONJ
ejpam-3519	3	41	without	without	ADP
ejpam-3519	3	42	censorship	censorship	NOUN
ejpam-3519	3	43	,	,	PUNCT
ejpam-3519	3	44	we	we	PRON
ejpam-3519	3	45	manage	manage	VERB
ejpam-3519	3	46	to	to	PART
ejpam-3519	3	47	established	establish	VERB
ejpam-3519	3	48	the	the	DET
ejpam-3519	3	49	bias	bias	NOUN
ejpam-3519	3	50	and	and	CCONJ
ejpam-3519	3	51	variance	variance	NOUN
ejpam-3519	3	52	of	of	ADP
ejpam-3519	3	53	the	the	DET
ejpam-3519	3	54	density	density	NOUN
ejpam-3519	3	55	of	of	ADP
ejpam-3519	3	56	the	the	DET
ejpam-3519	3	57	circular	circular	ADJ
ejpam-3519	3	58	kernel	kernel	NOUN
ejpam-3519	3	59	.	.	PUNCT
ejpam-3519	4	1	in	in	ADP
ejpam-3519	4	2	addition	addition	NOUN
ejpam-3519	4	3	,	,	PUNCT
ejpam-3519	4	4	we	we	PRON
ejpam-3519	4	5	determined	determine	VERB
ejpam-3519	4	6	the	the	DET
ejpam-3519	4	7	optimal	optimal	ADJ
ejpam-3519	4	8	window	window	NOUN
ejpam-3519	4	9	b∗n	b∗n	NUM
ejpam-3519	4	10	of	of	ADP
ejpam-3519	4	11	this	this	DET
ejpam-3519	4	12	estimator	estimator	NOUN
ejpam-3519	4	13	after	after	ADP
ejpam-3519	4	14	having	having	AUX
ejpam-3519	4	15	first	first	ADV
ejpam-3519	4	16	established	establish	VERB
ejpam-3519	4	17	the	the	DET
ejpam-3519	4	18	mean	mean	ADJ
ejpam-3519	4	19	square	square	NOUN
ejpam-3519	4	20	error	error	NOUN
ejpam-3519	4	21	(	(	PUNCT
ejpam-3519	4	22	mse	mse	NOUN
ejpam-3519	4	23	)	)	PUNCT
ejpam-3519	4	24	and	and	CCONJ
ejpam-3519	4	25	mean	mean	VERB
ejpam-3519	4	26	integrated	integrate	VERB
ejpam-3519	4	27	squared	square	VERB
ejpam-3519	4	28	error	error	NOUN
ejpam-3519	4	29	(	(	PUNCT
ejpam-3519	4	30	mise	mise	NOUN
ejpam-3519	4	31	)	)	PUNCT
ejpam-3519	4	32	which	which	PRON
ejpam-3519	4	33	are	be	AUX
ejpam-3519	4	34	necessary	necessary	ADJ
ejpam-3519	4	35	conditions	condition	NOUN
ejpam-3519	4	36	for	for	ADP
ejpam-3519	4	37	obtaining	obtain	VERB
ejpam-3519	4	38	the	the	DET
ejpam-3519	4	39	optimal	optimal	ADJ
ejpam-3519	4	40	window	window	NOUN
ejpam-3519	4	41	.	.	PUNCT
ejpam-3519	5	1	finally	finally	ADV
ejpam-3519	5	2	,	,	PUNCT
ejpam-3519	5	3	we	we	PRON
ejpam-3519	5	4	have	have	AUX
ejpam-3519	5	5	established	establish	VERB
ejpam-3519	5	6	the	the	DET
ejpam-3519	5	7	asymptotic	asymptotic	ADJ
ejpam-3519	5	8	expression	expression	NOUN
ejpam-3519	5	9	of	of	ADP
ejpam-3519	5	10	the	the	DET
ejpam-3519	5	11	bias	bias	NOUN
ejpam-3519	5	12	of	of	ADP
ejpam-3519	5	13	the	the	DET
ejpam-3519	5	14	risk	risk	NOUN
ejpam-3519	5	15	function	function	NOUN
ejpam-3519	5	16	of	of	ADP
ejpam-3519	5	17	the	the	DET
ejpam-3519	5	18	circular	circular	ADJ
ejpam-3519	5	19	kernel	kernel	PROPN
ejpam-3519	5	20	estimator	estimator	NOUN
ejpam-3519	5	21	.	.	PUNCT
ejpam-3519	6	1	2010	2010	NUM
ejpam-3519	6	2	mathematics	mathematic	NOUN
ejpam-3519	6	3	subject	subject	NOUN
ejpam-3519	6	4	classifications	classification	NOUN
ejpam-3519	6	5	:	:	PUNCT
ejpam-3519	6	6	97k80	97k80	NUM
ejpam-3519	6	7	,	,	PUNCT
ejpam-3519	6	8	62g07	62g07	NUM
ejpam-3519	6	9	,	,	PUNCT
ejpam-3519	6	10	11r45	11r45	NUM
ejpam-3519	6	11	key	key	ADJ
ejpam-3519	6	12	words	word	NOUN
ejpam-3519	6	13	and	and	CCONJ
ejpam-3519	6	14	phrases	phrase	NOUN
ejpam-3519	6	15	:	:	PUNCT
ejpam-3519	6	16	nonparametric	nonparametric	NOUN
ejpam-3519	6	17	estimator	estimator	NOUN
ejpam-3519	6	18	,	,	PUNCT
ejpam-3519	6	19	density	density	NOUN
ejpam-3519	6	20	function	function	NOUN
ejpam-3519	6	21	,	,	PUNCT
ejpam-3519	6	22	risk	risk	NOUN
ejpam-3519	6	23	function	function	NOUN
ejpam-3519	6	24	,	,	PUNCT
ejpam-3519	6	25	circular	circular	ADJ
ejpam-3519	6	26	kernel	kernel	NOUN
ejpam-3519	6	27	,	,	PUNCT
ejpam-3519	6	28	bias	bias	NOUN
ejpam-3519	6	29	,	,	PUNCT
ejpam-3519	6	30	mean	mean	VERB
ejpam-3519	6	31	squared	square	VERB
ejpam-3519	6	32	error	error	NOUN
ejpam-3519	6	33	,	,	PUNCT
ejpam-3519	6	34	mean	mean	X
ejpam-3519	6	35	integrated	integrate	VERB
ejpam-3519	6	36	squared	square	VERB
ejpam-3519	6	37	error	error	NOUN
ejpam-3519	6	38	,	,	PUNCT
ejpam-3519	6	39	optimal	optimal	ADJ
ejpam-3519	6	40	window	window	NOUN
ejpam-3519	6	41	1	1	NUM
ejpam-3519	6	42	.	.	PUNCT
ejpam-3519	7	1	introduction	introduction	NOUN
ejpam-3519	7	2	survival	survival	NOUN
ejpam-3519	7	3	analysis	analysis	NOUN
ejpam-3519	7	4	refers	refer	VERB
ejpam-3519	7	5	to	to	ADP
ejpam-3519	7	6	a	a	DET
ejpam-3519	7	7	set	set	NOUN
ejpam-3519	7	8	of	of	ADP
ejpam-3519	7	9	statistical	statistical	ADJ
ejpam-3519	7	10	techniques	technique	NOUN
ejpam-3519	7	11	for	for	ADP
ejpam-3519	7	12	processing	process	VERB
ejpam-3519	7	13	censored	censor	VERB
ejpam-3519	7	14	data	datum	NOUN
ejpam-3519	7	15	which	which	PRON
ejpam-3519	7	16	is	be	AUX
ejpam-3519	7	17	unknown	unknown	ADJ
ejpam-3519	7	18	for	for	ADP
ejpam-3519	7	19	some	some	PRON
ejpam-3519	7	20	of	of	ADP
ejpam-3519	7	21	them	they	PRON
ejpam-3519	7	22	,	,	PUNCT
ejpam-3519	7	23	that	that	SCONJ
ejpam-3519	7	24	a	a	DET
ejpam-3519	7	25	lower	low	ADJ
ejpam-3519	7	26	or	or	CCONJ
ejpam-3519	7	27	higher	high	ADJ
ejpam-3519	7	28	bound	bind	VERB
ejpam-3519	7	29	and	and	CCONJ
ejpam-3519	7	30	not	not	PART
ejpam-3519	7	31	a	a	DET
ejpam-3519	7	32	precise	precise	ADJ
ejpam-3519	7	33	value	value	NOUN
ejpam-3519	7	34	.	.	PUNCT
ejpam-3519	8	1	it	it	PRON
ejpam-3519	8	2	represents	represent	VERB
ejpam-3519	8	3	the	the	DET
ejpam-3519	8	4	study	study	NOUN
ejpam-3519	8	5	of	of	ADP
ejpam-3519	8	6	the	the	DET
ejpam-3519	8	7	delay	delay	NOUN
ejpam-3519	8	8	of	of	ADP
ejpam-3519	8	9	the	the	DET
ejpam-3519	8	10	occurrence	occurrence	NOUN
ejpam-3519	8	11	of	of	ADP
ejpam-3519	8	12	an	an	DET
ejpam-3519	8	13	event	event	NOUN
ejpam-3519	8	14	.	.	PUNCT
ejpam-3519	9	1	it	it	PRON
ejpam-3519	9	2	is	be	AUX
ejpam-3519	9	3	called	call	VERB
ejpam-3519	9	4	survival	survival	NOUN
ejpam-3519	9	5	analysis	analysis	NOUN
ejpam-3519	9	6	or	or	CCONJ
ejpam-3519	9	7	lifetime	lifetime	NOUN
ejpam-3519	9	8	data	datum	NOUN
ejpam-3519	9	9	analysis	analysis	NOUN
ejpam-3519	9	10	which	which	PRON
ejpam-3519	9	11	is	be	AUX
ejpam-3519	9	12	present	present	ADJ
ejpam-3519	9	13	in	in	ADP
ejpam-3519	9	14	several	several	ADJ
ejpam-3519	9	15	areas	area	NOUN
ejpam-3519	9	16	of	of	ADP
ejpam-3519	9	17	life	life	NOUN
ejpam-3519	9	18	among	among	ADP
ejpam-3519	9	19	which	which	PRON
ejpam-3519	9	20	we	we	PRON
ejpam-3519	9	21	can	can	AUX
ejpam-3519	9	22	mention	mention	VERB
ejpam-3519	9	23	the	the	DET
ejpam-3519	9	24	medicine	medicine	NOUN
ejpam-3519	9	25	to	to	PART
ejpam-3519	9	26	evaluate	evaluate	VERB
ejpam-3519	9	27	the	the	DET
ejpam-3519	9	28	effectiveness	effectiveness	NOUN
ejpam-3519	9	29	of	of	ADP
ejpam-3519	9	30	a	a	DET
ejpam-3519	9	31	treatment	treatment	NOUN
ejpam-3519	9	32	.	.	PUNCT
ejpam-3519	10	1	in	in	ADP
ejpam-3519	10	2	demography	demography	NOUN
ejpam-3519	10	3	to	to	PART
ejpam-3519	10	4	build	build	VERB
ejpam-3519	10	5	life	life	NOUN
ejpam-3519	10	6	tables	table	NOUN
ejpam-3519	10	7	where	where	SCONJ
ejpam-3519	10	8	these	these	PRON
ejpam-3519	10	9	are	be	AUX
ejpam-3519	10	10	used	use	VERB
ejpam-3519	10	11	by	by	ADP
ejpam-3519	10	12	actuaries	actuary	NOUN
ejpam-3519	10	13	to	to	PART
ejpam-3519	10	14	determine	determine	VERB
ejpam-3519	10	15	the	the	DET
ejpam-3519	10	16	amount	amount	NOUN
ejpam-3519	10	17	of	of	ADP
ejpam-3519	10	18	life	life	NOUN
ejpam-3519	10	19	insurance	insurance	NOUN
ejpam-3519	10	20	and	and	CCONJ
ejpam-3519	10	21	life	life	NOUN
ejpam-3519	10	22	annuities	annuity	NOUN
ejpam-3519	10	23	,	,	PUNCT
ejpam-3519	10	24	among	among	ADP
ejpam-3519	10	25	others	other	NOUN
ejpam-3519	10	26	;	;	PUNCT
ejpam-3519	10	27	actuarial	actuarial	ADJ
ejpam-3519	10	28	tables	table	NOUN
ejpam-3519	10	29	are	be	AUX
ejpam-3519	10	30	used	use	VERB
ejpam-3519	10	31	when	when	SCONJ
ejpam-3519	10	32	data	datum	NOUN
ejpam-3519	10	33	is	be	AUX
ejpam-3519	10	34	grouped	group	VERB
ejpam-3519	10	35	into	into	ADP
ejpam-3519	10	36	intervals	interval	NOUN
ejpam-3519	10	37	.	.	PUNCT
ejpam-3519	11	1	it	it	PRON
ejpam-3519	11	2	is	be	AUX
ejpam-3519	11	3	also	also	ADV
ejpam-3519	11	4	in	in	ADP
ejpam-3519	11	5	engineering	engineering	NOUN
ejpam-3519	11	6	to	to	PART
ejpam-3519	11	7	estimate	estimate	VERB
ejpam-3519	11	8	the	the	DET
ejpam-3519	11	9	reliability	reliability	NOUN
ejpam-3519	11	10	of	of	ADP
ejpam-3519	11	11	machines	machine	NOUN
ejpam-3519	11	12	and	and	CCONJ
ejpam-3519	11	13	electronic	electronic	ADJ
ejpam-3519	11	14	components	component	NOUN
ejpam-3519	11	15	.	.	PUNCT
ejpam-3519	12	1	survival	survival	NOUN
ejpam-3519	12	2	analysis	analysis	NOUN
ejpam-3519	12	3	is	be	AUX
ejpam-3519	12	4	also	also	ADV
ejpam-3519	12	5	useful	useful	ADJ
ejpam-3519	12	6	in	in	ADP
ejpam-3519	12	7	astrophysics	astrophysic	NOUN
ejpam-3519	12	8	.	.	PUNCT
ejpam-3519	13	1	imagine	imagine	VERB
ejpam-3519	13	2	that	that	SCONJ
ejpam-3519	13	3	sources	source	NOUN
ejpam-3519	13	4	have	have	AUX
ejpam-3519	13	5	been	be	AUX
ejpam-3519	13	6	detected	detect	VERB
ejpam-3519	13	7	at	at	ADP
ejpam-3519	13	8	a	a	DET
ejpam-3519	13	9	wavelength	wavelength	NOUN
ejpam-3519	13	10	λ	λ	NOUN
ejpam-3519	13	11	and	and	CCONJ
ejpam-3519	13	12	that	that	SCONJ
ejpam-3519	13	13	we	we	PRON
ejpam-3519	13	14	observe	observe	VERB
ejpam-3519	13	15	at	at	ADP
ejpam-3519	13	16	the	the	DET
ejpam-3519	13	17	same	same	ADJ
ejpam-3519	13	18	positions	position	NOUN
ejpam-3519	13	19	another	another	DET
ejpam-3519	13	20	wavelength	wavelength	NOUN
ejpam-3519	13	21	λ′.	λ′.	AUX
ejpam-3519	13	22	some	some	DET
ejpam-3519	13	23	sources	source	NOUN
ejpam-3519	13	24	are	be	AUX
ejpam-3519	13	25	not	not	PART
ejpam-3519	13	26	detected	detect	VERB
ejpam-3519	13	27	at	at	ADP
ejpam-3519	13	28	λ′	λ′	NOUN
ejpam-3519	13	29	because	because	SCONJ
ejpam-3519	13	30	the	the	DET
ejpam-3519	13	31	ratio	ratio	NOUN
ejpam-3519	13	32	signal	signal	NOUN
ejpam-3519	13	33	/	/	SYM
ejpam-3519	13	34	noise	noise	NOUN
ejpam-3519	13	35	(	(	PUNCT
ejpam-3519	13	36	l′/b	l′/b	NUM
ejpam-3519	13	37	)	)	PUNCT
ejpam-3519	13	38	is	be	AUX
ejpam-3519	13	39	too	too	ADV
ejpam-3519	13	40	low	low	ADJ
ejpam-3519	13	41	.	.	PUNCT
ejpam-3519	14	1	however	however	ADV
ejpam-3519	14	2	,	,	PUNCT
ejpam-3519	14	3	how	how	SCONJ
ejpam-3519	14	4	to	to	PART
ejpam-3519	14	5	calculate	calculate	VERB
ejpam-3519	14	6	the	the	DET
ejpam-3519	14	7	color	color	NOUN
ejpam-3519	14	8	distribution	distribution	NOUN
ejpam-3519	14	9	m	m	VERB
ejpam-3519	14	10	−	−	NOUN
ejpam-3519	14	11	m′	m′	NOUN
ejpam-3519	14	12	=	=	SYM
ejpam-3519	14	13	2	2	NUM
ejpam-3519	14	14	,	,	PUNCT
ejpam-3519	14	15	5	5	NUM
ejpam-3519	14	16	log10(l′/l	log10(l′/l	NUM
ejpam-3519	14	17	)	)	PUNCT
ejpam-3519	15	1	+	+	CCONJ
ejpam-3519	15	2	constant	constant	ADJ
ejpam-3519	15	3	?	?	PUNCT
ejpam-3519	16	1	hence	hence	ADV
ejpam-3519	16	2	the	the	DET
ejpam-3519	16	3	interest	interest	NOUN
ejpam-3519	16	4	in	in	ADP
ejpam-3519	16	5	physics	physics	NOUN
ejpam-3519	16	6	survival	survival	PROPN
ejpam-3519	16	7	analysis	analysis	NOUN
ejpam-3519	16	8	.	.	PUNCT
ejpam-3519	17	1	this	this	DET
ejpam-3519	17	2	analysis	analysis	NOUN
ejpam-3519	17	3	is	be	AUX
ejpam-3519	17	4	linked	link	VERB
ejpam-3519	17	5	to	to	ADP
ejpam-3519	17	6	an	an	DET
ejpam-3519	17	7	event	event	NOUN
ejpam-3519	17	8	that	that	PRON
ejpam-3519	17	9	is	be	AUX
ejpam-3519	17	10	the	the	DET
ejpam-3519	17	11	subject	subject	NOUN
ejpam-3519	17	12	of	of	ADP
ejpam-3519	17	13	a	a	DET
ejpam-3519	17	14	study	study	NOUN
ejpam-3519	17	15	and	and	CCONJ
ejpam-3519	17	16	that	that	PRON
ejpam-3519	17	17	is	be	AUX
ejpam-3519	17	18	how	how	SCONJ
ejpam-3519	17	19	we	we	PRON
ejpam-3519	17	20	will	will	AUX
ejpam-3519	17	21	be	be	AUX
ejpam-3519	17	22	able	able	ADJ
ejpam-3519	17	23	to	to	PART
ejpam-3519	17	24	study	study	VERB
ejpam-3519	17	25	its	its	PRON
ejpam-3519	17	26	lifespan	lifespan	NOUN
ejpam-3519	17	27	or	or	CCONJ
ejpam-3519	17	28	survival	survival	NOUN
ejpam-3519	17	29	.	.	PUNCT
ejpam-3519	18	1	∗corresponding	∗corresponde	VERB
ejpam-3519	18	2	author	author	NOUN
ejpam-3519	18	3	.	.	PUNCT
ejpam-3519	19	1	doi	doi	NOUN
ejpam-3519	19	2	:	:	PUNCT
ejpam-3519	19	3	https://doi.org/10.29020/nybg.ejpam.v12i4.3519	https://doi.org/10.29020/nybg.ejpam.v12i4.3519	ADJ
ejpam-3519	19	4	email	email	NOUN
ejpam-3519	19	5	addresses	address	NOUN
ejpam-3519	19	6	:	:	PUNCT
ejpam-3519	19	7	didiernjamen1@gmail.com	didiernjamen1@gmail.com	X
ejpam-3519	19	8	(	(	PUNCT
ejpam-3519	19	9	d.	d.	NOUN
ejpam-3519	19	10	a.	a.	PROPN
ejpam-3519	19	11	n.	n.	PROPN
ejpam-3519	19	12	njamen	njamen	PROPN
ejpam-3519	19	13	)	)	PUNCT
ejpam-3519	19	14	,	,	PUNCT
ejpam-3519	19	15	hyayebga@yahoo.com	hyayebga@yahoo.com	X
ejpam-3519	19	16	(	(	PUNCT
ejpam-3519	19	17	h.	h.	PROPN
ejpam-3519	19	18	c.	c.	PROPN
ejpam-3519	19	19	yayabga	yayabga	PROPN
ejpam-3519	19	20	)	)	PUNCT
ejpam-3519	19	21	http://www.ejpam.com	http://www.ejpam.com	X
ejpam-3519	20	1	1612	1612	NUM
ejpam-3519	20	2	c	c	X
ejpam-3519	20	3	©	©	PROPN
ejpam-3519	20	4	2019	2019	NUM
ejpam-3519	20	5	ejpam	ejpam	NOUN
ejpam-3519	20	6	all	all	DET
ejpam-3519	20	7	rights	right	NOUN
ejpam-3519	20	8	reserved	reserve	VERB
ejpam-3519	20	9	.	.	PUNCT
ejpam-3519	21	1	d.	d.	PROPN
ejpam-3519	21	2	a.	a.	PROPN
ejpam-3519	21	3	n.	n.	PROPN
ejpam-3519	21	4	njamen	njamen	PROPN
ejpam-3519	21	5	,	,	PUNCT
ejpam-3519	21	6	h.	h.	PROPN
ejpam-3519	21	7	c.	c.	PROPN
ejpam-3519	21	8	yayebga	yayebga	PROPN
ejpam-3519	21	9	/	/	SYM
ejpam-3519	21	10	eur	eur	PROPN
ejpam-3519	21	11	.	.	PUNCT
ejpam-3519	22	1	j.	j.	PROPN
ejpam-3519	22	2	pure	pure	PROPN
ejpam-3519	22	3	appl	appl	PROPN
ejpam-3519	22	4	.	.	PROPN
ejpam-3519	22	5	math	math	PROPN
ejpam-3519	22	6	,	,	PUNCT
ejpam-3519	22	7	12	12	NUM
ejpam-3519	22	8	(	(	PUNCT
ejpam-3519	22	9	4	4	NUM
ejpam-3519	22	10	)	)	PUNCT
ejpam-3519	22	11	(	(	PUNCT
ejpam-3519	22	12	2019	2019	NUM
ejpam-3519	22	13	)	)	PUNCT
ejpam-3519	22	14	,	,	PUNCT
ejpam-3519	22	15	1612	1612	NUM
ejpam-3519	22	16	-	-	SYM
ejpam-3519	22	17	1642	1642	NUM
ejpam-3519	22	18	1613	1613	NUM
ejpam-3519	22	19	the	the	DET
ejpam-3519	22	20	term	term	NOUN
ejpam-3519	22	21	survival	survival	NOUN
ejpam-3519	22	22	time	time	NOUN
ejpam-3519	22	23	refers	refer	VERB
ejpam-3519	22	24	to	to	ADP
ejpam-3519	22	25	the	the	DET
ejpam-3519	22	26	time	time	NOUN
ejpam-3519	22	27	elapsed	elapse	VERB
ejpam-3519	22	28	until	until	ADP
ejpam-3519	22	29	the	the	DET
ejpam-3519	22	30	occurrence	occurrence	NOUN
ejpam-3519	22	31	of	of	ADP
ejpam-3519	22	32	a	a	DET
ejpam-3519	22	33	specific	specific	ADJ
ejpam-3519	22	34	event	event	NOUN
ejpam-3519	22	35	.	.	PUNCT
ejpam-3519	23	1	the	the	DET
ejpam-3519	23	2	event	event	NOUN
ejpam-3519	23	3	studied	study	VERB
ejpam-3519	23	4	(	(	PUNCT
ejpam-3519	23	5	commonly	commonly	ADV
ejpam-3519	23	6	called	call	VERB
ejpam-3519	23	7	death	death	NOUN
ejpam-3519	23	8	)	)	PUNCT
ejpam-3519	23	9	is	be	AUX
ejpam-3519	23	10	the	the	DET
ejpam-3519	23	11	irreversible	irreversible	ADJ
ejpam-3519	23	12	transition	transition	NOUN
ejpam-3519	23	13	between	between	ADP
ejpam-3519	23	14	two	two	NUM
ejpam-3519	23	15	states	state	NOUN
ejpam-3519	23	16	(	(	PUNCT
ejpam-3519	23	17	commonly	commonly	ADV
ejpam-3519	23	18	called	call	VERB
ejpam-3519	23	19	living	living	NOUN
ejpam-3519	23	20	and	and	CCONJ
ejpam-3519	23	21	death	death	NOUN
ejpam-3519	23	22	)	)	PUNCT
ejpam-3519	23	23	.	.	PUNCT
ejpam-3519	24	1	the	the	DET
ejpam-3519	24	2	terminal	terminal	ADJ
ejpam-3519	24	3	event	event	NOUN
ejpam-3519	24	4	is	be	AUX
ejpam-3519	24	5	not	not	PART
ejpam-3519	24	6	necessarily	necessarily	ADV
ejpam-3519	24	7	death	death	NOUN
ejpam-3519	24	8	:	:	PUNCT
ejpam-3519	24	9	it	it	PRON
ejpam-3519	24	10	can	can	AUX
ejpam-3519	24	11	be	be	AUX
ejpam-3519	24	12	the	the	DET
ejpam-3519	24	13	appearance	appearance	NOUN
ejpam-3519	24	14	of	of	ADP
ejpam-3519	24	15	a	a	DET
ejpam-3519	24	16	disease	disease	NOUN
ejpam-3519	24	17	(	(	PUNCT
ejpam-3519	24	18	for	for	ADP
ejpam-3519	24	19	example	example	NOUN
ejpam-3519	24	20	,	,	PUNCT
ejpam-3519	24	21	the	the	DET
ejpam-3519	24	22	time	time	NOUN
ejpam-3519	24	23	before	before	ADP
ejpam-3519	24	24	a	a	DET
ejpam-3519	24	25	relapse	relapse	NOUN
ejpam-3519	24	26	or	or	CCONJ
ejpam-3519	24	27	rejection	rejection	NOUN
ejpam-3519	24	28	of	of	ADP
ejpam-3519	24	29	a	a	DET
ejpam-3519	24	30	transplant	transplant	NOUN
ejpam-3519	24	31	)	)	PUNCT
ejpam-3519	24	32	,	,	PUNCT
ejpam-3519	24	33	a	a	DET
ejpam-3519	24	34	cure	cure	NOUN
ejpam-3519	24	35	(	(	PUNCT
ejpam-3519	24	36	time	time	NOUN
ejpam-3519	24	37	between	between	ADP
ejpam-3519	24	38	the	the	DET
ejpam-3519	24	39	diagnosis	diagnosis	NOUN
ejpam-3519	24	40	and	and	CCONJ
ejpam-3519	24	41	the	the	DET
ejpam-3519	24	42	cure	cure	NOUN
ejpam-3519	24	43	)	)	PUNCT
ejpam-3519	24	44	,	,	PUNCT
ejpam-3519	24	45	the	the	DET
ejpam-3519	24	46	breakdown	breakdown	NOUN
ejpam-3519	24	47	of	of	ADP
ejpam-3519	24	48	a	a	DET
ejpam-3519	24	49	machine	machine	NOUN
ejpam-3519	24	50	(	(	PUNCT
ejpam-3519	24	51	duration	duration	NOUN
ejpam-3519	24	52	of	of	ADP
ejpam-3519	24	53	operation	operation	NOUN
ejpam-3519	24	54	of	of	ADP
ejpam-3519	24	55	a	a	DET
ejpam-3519	24	56	machine	machine	NOUN
ejpam-3519	24	57	,	,	PUNCT
ejpam-3519	24	58	in	in	ADP
ejpam-3519	24	59	reliability	reliability	NOUN
ejpam-3519	24	60	)	)	PUNCT
ejpam-3519	24	61	or	or	CCONJ
ejpam-3519	24	62	the	the	DET
ejpam-3519	24	63	occurrence	occurrence	NOUN
ejpam-3519	24	64	of	of	ADP
ejpam-3519	24	65	a	a	DET
ejpam-3519	24	66	disaster	disaster	NOUN
ejpam-3519	24	67	(	(	PUNCT
ejpam-3519	24	68	time	time	NOUN
ejpam-3519	24	69	between	between	ADP
ejpam-3519	24	70	two	two	NUM
ejpam-3519	24	71	disasters	disaster	NOUN
ejpam-3519	24	72	,	,	PUNCT
ejpam-3519	24	73	in	in	ADP
ejpam-3519	24	74	actuarial	actuarial	NOUN
ejpam-3519	24	75	)	)	PUNCT
ejpam-3519	24	76	.	.	PUNCT
ejpam-3519	25	1	in	in	ADP
ejpam-3519	25	2	survival	survival	NOUN
ejpam-3519	25	3	analysis	analysis	NOUN
ejpam-3519	25	4	,	,	PUNCT
ejpam-3519	25	5	the	the	DET
ejpam-3519	25	6	estimation	estimation	NOUN
ejpam-3519	25	7	of	of	ADP
ejpam-3519	25	8	the	the	DET
ejpam-3519	25	9	hazard	hazard	NOUN
ejpam-3519	25	10	function	function	NOUN
ejpam-3519	25	11	is	be	AUX
ejpam-3519	25	12	an	an	DET
ejpam-3519	25	13	interesting	interesting	ADJ
ejpam-3519	25	14	problem	problem	NOUN
ejpam-3519	25	15	that	that	PRON
ejpam-3519	25	16	appears	appear	VERB
ejpam-3519	25	17	in	in	ADP
ejpam-3519	25	18	the	the	DET
ejpam-3519	25	19	statistical	statistical	ADJ
ejpam-3519	25	20	analysis	analysis	NOUN
ejpam-3519	25	21	of	of	ADP
ejpam-3519	25	22	useful	useful	ADJ
ejpam-3519	25	23	life	life	NOUN
ejpam-3519	25	24	to	to	PART
ejpam-3519	25	25	study	study	VERB
ejpam-3519	25	26	several	several	ADJ
ejpam-3519	25	27	types	type	NOUN
ejpam-3519	25	28	of	of	ADP
ejpam-3519	25	29	events	event	NOUN
ejpam-3519	25	30	.	.	PUNCT
ejpam-3519	26	1	many	many	ADJ
ejpam-3519	26	2	methods	method	NOUN
ejpam-3519	26	3	have	have	AUX
ejpam-3519	26	4	been	be	AUX
ejpam-3519	26	5	proposed	propose	VERB
ejpam-3519	26	6	to	to	PART
ejpam-3519	26	7	study	study	VERB
ejpam-3519	26	8	the	the	DET
ejpam-3519	26	9	estimation	estimation	NOUN
ejpam-3519	26	10	survival	survival	NOUN
ejpam-3519	26	11	functions	function	NOUN
ejpam-3519	26	12	and	and	CCONJ
ejpam-3519	26	13	risk	risk	NOUN
ejpam-3519	26	14	functions	function	NOUN
ejpam-3519	26	15	in	in	ADP
ejpam-3519	26	16	independent	independent	ADJ
ejpam-3519	26	17	and	and	CCONJ
ejpam-3519	26	18	identically	identically	ADV
ejpam-3519	26	19	distributed	distribute	VERB
ejpam-3519	26	20	(	(	PUNCT
ejpam-3519	26	21	i.i.d	i.i.d	ADJ
ejpam-3519	26	22	)	)	PUNCT
ejpam-3519	26	23	cases	case	NOUN
ejpam-3519	26	24	with	with	ADP
ejpam-3519	26	25	and	and	CCONJ
ejpam-3519	26	26	without	without	ADP
ejpam-3519	26	27	censorship	censorship	NOUN
ejpam-3519	26	28	.	.	PUNCT
ejpam-3519	27	1	we	we	PRON
ejpam-3519	27	2	can	can	AUX
ejpam-3519	27	3	mention	mention	VERB
ejpam-3519	27	4	among	among	ADP
ejpam-3519	27	5	others	other	NOUN
ejpam-3519	27	6	:	:	PUNCT
ejpam-3519	28	1	[	[	X
ejpam-3519	28	2	19	19	NUM
ejpam-3519	28	3	]	]	PUNCT
ejpam-3519	28	4	,	,	PUNCT
ejpam-3519	28	5	[	[	X
ejpam-3519	28	6	17	17	NUM
ejpam-3519	28	7	]	]	PUNCT
ejpam-3519	28	8	,	,	PUNCT
ejpam-3519	28	9	[	[	X
ejpam-3519	28	10	9	9	NUM
ejpam-3519	28	11	]	]	PUNCT
ejpam-3519	28	12	,	,	PUNCT
ejpam-3519	28	13	[	[	X
ejpam-3519	28	14	18	18	NUM
ejpam-3519	28	15	]	]	PUNCT
ejpam-3519	28	16	,	,	PUNCT
ejpam-3519	28	17	[	[	X
ejpam-3519	28	18	22	22	NUM
ejpam-3519	28	19	]	]	PUNCT
ejpam-3519	28	20	,	,	PUNCT
ejpam-3519	28	21	[	[	X
ejpam-3519	28	22	20	20	NUM
ejpam-3519	28	23	]	]	PUNCT
ejpam-3519	28	24	,	,	PUNCT
ejpam-3519	28	25	[	[	X
ejpam-3519	28	26	3	3	NUM
ejpam-3519	28	27	]	]	PUNCT
ejpam-3519	28	28	,	,	PUNCT
ejpam-3519	28	29	[	[	X
ejpam-3519	28	30	21	21	NUM
ejpam-3519	28	31	]	]	PUNCT
ejpam-3519	28	32	,	,	PUNCT
ejpam-3519	28	33	[	[	X
ejpam-3519	28	34	26	26	NUM
ejpam-3519	28	35	]	]	PUNCT
ejpam-3519	28	36	,	,	PUNCT
ejpam-3519	28	37	[	[	X
ejpam-3519	28	38	8	8	NUM
ejpam-3519	28	39	]	]	PUNCT
ejpam-3519	28	40	,	,	PUNCT
ejpam-3519	28	41	[	[	X
ejpam-3519	28	42	23	23	NUM
ejpam-3519	28	43	]	]	PUNCT
ejpam-3519	28	44	,	,	PUNCT
ejpam-3519	28	45	and	and	CCONJ
ejpam-3519	28	46	[	[	X
ejpam-3519	28	47	16	16	NUM
ejpam-3519	28	48	]	]	PUNCT
ejpam-3519	28	49	.	.	PUNCT
ejpam-3519	29	1	however	however	ADV
ejpam-3519	29	2	,	,	PUNCT
ejpam-3519	29	3	the	the	DET
ejpam-3519	29	4	study	study	NOUN
ejpam-3519	29	5	of	of	ADP
ejpam-3519	29	6	the	the	DET
ejpam-3519	29	7	determination	determination	NOUN
ejpam-3519	29	8	of	of	ADP
ejpam-3519	29	9	the	the	DET
ejpam-3519	29	10	mean	mean	ADJ
ejpam-3519	29	11	squared	square	VERB
ejpam-3519	29	12	error	error	NOUN
ejpam-3519	29	13	(	(	PUNCT
ejpam-3519	29	14	mse	mse	NOUN
ejpam-3519	29	15	)	)	PUNCT
ejpam-3519	29	16	and	and	CCONJ
ejpam-3519	29	17	the	the	DET
ejpam-3519	29	18	mean	mean	NOUN
ejpam-3519	29	19	integrated	integrate	VERB
ejpam-3519	29	20	squared	square	VERB
ejpam-3519	29	21	error	error	NOUN
ejpam-3519	29	22	(	(	PUNCT
ejpam-3519	29	23	mise	mise	NOUN
ejpam-3519	29	24	)	)	PUNCT
ejpam-3519	29	25	to	to	PART
ejpam-3519	29	26	obtain	obtain	VERB
ejpam-3519	29	27	the	the	DET
ejpam-3519	29	28	optimum	optimum	ADJ
ejpam-3519	29	29	window	window	NOUN
ejpam-3519	29	30	of	of	ADP
ejpam-3519	29	31	the	the	DET
ejpam-3519	29	32	circular	circular	ADJ
ejpam-3519	29	33	kernel	kernel	NOUN
ejpam-3519	29	34	remains	remain	VERB
ejpam-3519	29	35	unclear	unclear	ADJ
ejpam-3519	29	36	.	.	PUNCT
ejpam-3519	30	1	this	this	DET
ejpam-3519	30	2	article	article	NOUN
ejpam-3519	30	3	brings	bring	VERB
ejpam-3519	30	4	a	a	DET
ejpam-3519	30	5	relief	relief	NOUN
ejpam-3519	30	6	to	to	ADP
ejpam-3519	30	7	this	this	DET
ejpam-3519	30	8	problematic	problematic	NOUN
ejpam-3519	30	9	.	.	PUNCT
ejpam-3519	31	1	this	this	DET
ejpam-3519	31	2	article	article	NOUN
ejpam-3519	31	3	is	be	AUX
ejpam-3519	31	4	subdivided	subdivide	VERB
ejpam-3519	31	5	into	into	ADP
ejpam-3519	31	6	six	six	NUM
ejpam-3519	31	7	parts	part	NOUN
ejpam-3519	31	8	:	:	PUNCT
ejpam-3519	31	9	the	the	DET
ejpam-3519	31	10	first	first	ADJ
ejpam-3519	31	11	part	part	NOUN
ejpam-3519	31	12	is	be	AUX
ejpam-3519	31	13	devoted	devote	VERB
ejpam-3519	31	14	to	to	ADP
ejpam-3519	31	15	the	the	DET
ejpam-3519	31	16	development	development	NOUN
ejpam-3519	31	17	of	of	ADP
ejpam-3519	31	18	the	the	DET
ejpam-3519	31	19	different	different	ADJ
ejpam-3519	31	20	notions	notion	NOUN
ejpam-3519	31	21	studied	study	VERB
ejpam-3519	31	22	in	in	ADP
ejpam-3519	31	23	the	the	DET
ejpam-3519	31	24	density	density	NOUN
ejpam-3519	31	25	and	and	CCONJ
ejpam-3519	31	26	risk	risk	NOUN
ejpam-3519	31	27	functions	function	NOUN
ejpam-3519	31	28	.	.	PUNCT
ejpam-3519	32	1	the	the	DET
ejpam-3519	32	2	second	second	ADJ
ejpam-3519	32	3	part	part	NOUN
ejpam-3519	32	4	deals	deal	VERB
ejpam-3519	32	5	with	with	ADP
ejpam-3519	32	6	the	the	DET
ejpam-3519	32	7	estimation	estimation	NOUN
ejpam-3519	32	8	of	of	ADP
ejpam-3519	32	9	kernel	kernel	PROPN
ejpam-3519	32	10	density	density	PROPN
ejpam-3519	32	11	function	function	NOUN
ejpam-3519	32	12	.	.	PUNCT
ejpam-3519	33	1	the	the	DET
ejpam-3519	33	2	third	third	ADJ
ejpam-3519	33	3	part	part	NOUN
ejpam-3519	33	4	deals	deal	VERB
ejpam-3519	33	5	with	with	ADP
ejpam-3519	33	6	the	the	DET
ejpam-3519	33	7	risk	risk	NOUN
ejpam-3519	33	8	function	function	NOUN
ejpam-3519	33	9	estimation	estimation	NOUN
ejpam-3519	33	10	.	.	PUNCT
ejpam-3519	34	1	the	the	DET
ejpam-3519	34	2	fourth	fourth	ADJ
ejpam-3519	34	3	part	part	NOUN
ejpam-3519	34	4	reminds	remind	VERB
ejpam-3519	34	5	us	we	PRON
ejpam-3519	34	6	of	of	ADP
ejpam-3519	34	7	the	the	DET
ejpam-3519	34	8	notion	notion	NOUN
ejpam-3519	34	9	of	of	ADP
ejpam-3519	34	10	mean	mean	ADJ
ejpam-3519	34	11	squared	square	VERB
ejpam-3519	34	12	error	error	NOUN
ejpam-3519	34	13	(	(	PUNCT
ejpam-3519	34	14	mse	mse	NOUN
ejpam-3519	34	15	)	)	PUNCT
ejpam-3519	34	16	.	.	PUNCT
ejpam-3519	35	1	in	in	ADP
ejpam-3519	35	2	the	the	DET
ejpam-3519	35	3	fifth	fifth	ADJ
ejpam-3519	35	4	part	part	NOUN
ejpam-3519	35	5	,	,	PUNCT
ejpam-3519	35	6	it	it	PRON
ejpam-3519	35	7	’s	’	VERB
ejpam-3519	35	8	about	about	ADP
ejpam-3519	35	9	the	the	DET
ejpam-3519	35	10	probability	probability	NOUN
ejpam-3519	35	11	and	and	CCONJ
ejpam-3519	35	12	risk	risk	NOUN
ejpam-3519	35	13	function	function	NOUN
ejpam-3519	35	14	of	of	ADP
ejpam-3519	35	15	the	the	DET
ejpam-3519	35	16	circular	circular	ADJ
ejpam-3519	35	17	kernel	kernel	NOUN
ejpam-3519	35	18	.	.	PUNCT
ejpam-3519	36	1	finally	finally	ADV
ejpam-3519	36	2	in	in	ADP
ejpam-3519	36	3	the	the	DET
ejpam-3519	36	4	last	last	ADJ
ejpam-3519	36	5	part	part	NOUN
ejpam-3519	36	6	,	,	PUNCT
ejpam-3519	36	7	through	through	ADP
ejpam-3519	36	8	simulated	simulate	VERB
ejpam-3519	36	9	and	and	CCONJ
ejpam-3519	36	10	real	real	ADJ
ejpam-3519	36	11	data	datum	NOUN
ejpam-3519	36	12	,	,	PUNCT
ejpam-3519	36	13	we	we	PRON
ejpam-3519	36	14	show	show	VERB
ejpam-3519	36	15	that	that	SCONJ
ejpam-3519	36	16	our	our	PRON
ejpam-3519	36	17	estimator	estimator	NOUN
ejpam-3519	36	18	is	be	AUX
ejpam-3519	36	19	efficient	efficient	ADJ
ejpam-3519	36	20	.	.	PUNCT
ejpam-3519	37	1	2	2	X
ejpam-3519	37	2	.	.	X
ejpam-3519	37	3	general	general	ADJ
ejpam-3519	37	4	results	result	NOUN
ejpam-3519	37	5	on	on	ADP
ejpam-3519	37	6	density	density	NOUN
ejpam-3519	37	7	and	and	CCONJ
ejpam-3519	37	8	risk	risk	NOUN
ejpam-3519	37	9	functions	function	NOUN
ejpam-3519	37	10	in	in	ADP
ejpam-3519	37	11	this	this	DET
ejpam-3519	37	12	section	section	NOUN
ejpam-3519	37	13	,	,	PUNCT
ejpam-3519	37	14	we	we	PRON
ejpam-3519	37	15	acquire	acquire	VERB
ejpam-3519	37	16	various	various	ADJ
ejpam-3519	37	17	basic	basic	ADJ
ejpam-3519	37	18	concepts	concept	NOUN
ejpam-3519	37	19	that	that	PRON
ejpam-3519	37	20	allow	allow	VERB
ejpam-3519	37	21	a	a	DET
ejpam-3519	37	22	good	good	ADJ
ejpam-3519	37	23	understanding	understanding	NOUN
ejpam-3519	37	24	of	of	ADP
ejpam-3519	37	25	our	our	PRON
ejpam-3519	37	26	work	work	NOUN
ejpam-3519	37	27	.	.	PUNCT
ejpam-3519	38	1	for	for	ADP
ejpam-3519	38	2	this	this	DET
ejpam-3519	38	3	purpose	purpose	NOUN
ejpam-3519	38	4	,	,	PUNCT
ejpam-3519	38	5	we	we	PRON
ejpam-3519	38	6	have	have	AUX
ejpam-3519	38	7	been	be	AUX
ejpam-3519	38	8	inspired	inspire	VERB
ejpam-3519	38	9	by	by	ADP
ejpam-3519	38	10	the	the	DET
ejpam-3519	38	11	founding	founding	NOUN
ejpam-3519	38	12	works	work	NOUN
ejpam-3519	38	13	,	,	PUNCT
ejpam-3519	38	14	articles	article	NOUN
ejpam-3519	38	15	and	and	CCONJ
ejpam-3519	38	16	even	even	ADV
ejpam-3519	38	17	courses	course	NOUN
ejpam-3519	38	18	read	read	VERB
ejpam-3519	38	19	online	online	ADV
ejpam-3519	38	20	.	.	PUNCT
ejpam-3519	39	1	this	this	PRON
ejpam-3519	39	2	among	among	ADP
ejpam-3519	39	3	others	other	NOUN
ejpam-3519	39	4	include	include	VERB
ejpam-3519	39	5	the	the	DET
ejpam-3519	39	6	works	work	NOUN
ejpam-3519	39	7	by	by	ADP
ejpam-3519	39	8	:	:	PUNCT
ejpam-3519	40	1	[	[	X
ejpam-3519	40	2	1	1	NUM
ejpam-3519	40	3	]	]	PUNCT
ejpam-3519	40	4	,	,	PUNCT
ejpam-3519	40	5	[	[	X
ejpam-3519	40	6	22	22	NUM
ejpam-3519	40	7	]	]	PUNCT
ejpam-3519	40	8	,	,	PUNCT
ejpam-3519	40	9	[	[	X
ejpam-3519	40	10	3	3	NUM
ejpam-3519	40	11	]	]	PUNCT
ejpam-3519	40	12	,	,	PUNCT
ejpam-3519	40	13	[	[	X
ejpam-3519	40	14	5	5	NUM
ejpam-3519	40	15	]	]	PUNCT
ejpam-3519	40	16	and	and	CCONJ
ejpam-3519	40	17	[	[	X
ejpam-3519	40	18	23	23	NUM
ejpam-3519	40	19	]	]	PUNCT
ejpam-3519	40	20	.	.	PUNCT
ejpam-3519	41	1	the	the	DET
ejpam-3519	41	2	survival	survival	NOUN
ejpam-3519	41	3	time	time	PROPN
ejpam-3519	41	4	t	t	PROPN
ejpam-3519	41	5	refers	refer	VERB
ejpam-3519	41	6	to	to	ADP
ejpam-3519	41	7	the	the	DET
ejpam-3519	41	8	time	time	NOUN
ejpam-3519	41	9	elapsed	elapse	VERB
ejpam-3519	41	10	since	since	SCONJ
ejpam-3519	41	11	an	an	DET
ejpam-3519	41	12	initial	initial	ADJ
ejpam-3519	41	13	moment	moment	NOUN
ejpam-3519	41	14	(	(	PUNCT
ejpam-3519	41	15	beginning	begin	VERB
ejpam-3519	41	16	of	of	ADP
ejpam-3519	41	17	treatment	treatment	NOUN
ejpam-3519	41	18	,	,	PUNCT
ejpam-3519	41	19	diagnosis	diagnosis	NOUN
ejpam-3519	41	20	,	,	PUNCT
ejpam-3519	41	21	unemployment	unemployment	NOUN
ejpam-3519	41	22	,	,	PUNCT
ejpam-3519	41	23	...	...	PUNCT
ejpam-3519	41	24	)	)	PUNCT
ejpam-3519	41	25	until	until	ADP
ejpam-3519	41	26	the	the	DET
ejpam-3519	41	27	occurrence	occurrence	NOUN
ejpam-3519	41	28	of	of	ADP
ejpam-3519	41	29	an	an	DET
ejpam-3519	41	30	event	event	NOUN
ejpam-3519	41	31	of	of	ADP
ejpam-3519	41	32	final	final	ADJ
ejpam-3519	41	33	interest	interest	NOUN
ejpam-3519	41	34	(	(	PUNCT
ejpam-3519	41	35	death	death	NOUN
ejpam-3519	41	36	of	of	ADP
ejpam-3519	41	37	the	the	DET
ejpam-3519	41	38	patient	patient	NOUN
ejpam-3519	41	39	,	,	PUNCT
ejpam-3519	41	40	relapse	relapse	NOUN
ejpam-3519	41	41	,	,	PUNCT
ejpam-3519	41	42	remission	remission	NOUN
ejpam-3519	41	43	,	,	PUNCT
ejpam-3519	41	44	healing	healing	NOUN
ejpam-3519	41	45	,	,	PUNCT
ejpam-3519	41	46	work	work	NOUN
ejpam-3519	41	47	,	,	PUNCT
ejpam-3519	41	48	...	...	PUNCT
ejpam-3519	41	49	)	)	PUNCT
ejpam-3519	41	50	.	.	PUNCT
ejpam-3519	42	1	it	it	PRON
ejpam-3519	42	2	is	be	AUX
ejpam-3519	42	3	said	say	VERB
ejpam-3519	42	4	that	that	SCONJ
ejpam-3519	42	5	the	the	DET
ejpam-3519	42	6	individual	individual	NOUN
ejpam-3519	42	7	survives	survive	VERB
ejpam-3519	42	8	the	the	DET
ejpam-3519	42	9	time	time	NOUN
ejpam-3519	42	10	t	t	NOUN
ejpam-3519	42	11	if	if	SCONJ
ejpam-3519	42	12	at	at	ADP
ejpam-3519	42	13	this	this	DET
ejpam-3519	42	14	moment	moment	NOUN
ejpam-3519	42	15	the	the	DET
ejpam-3519	42	16	event	event	NOUN
ejpam-3519	42	17	of	of	ADP
ejpam-3519	42	18	final	final	ADJ
ejpam-3519	42	19	interest	interest	NOUN
ejpam-3519	42	20	has	have	AUX
ejpam-3519	42	21	not	not	PART
ejpam-3519	42	22	yet	yet	ADV
ejpam-3519	42	23	taken	take	VERB
ejpam-3519	42	24	place	place	NOUN
ejpam-3519	42	25	.	.	PUNCT
ejpam-3519	43	1	the	the	DET
ejpam-3519	43	2	variable	variable	NOUN
ejpam-3519	43	3	studied	study	VERB
ejpam-3519	43	4	is	be	AUX
ejpam-3519	43	5	called	call	VERB
ejpam-3519	43	6	survival	survival	NOUN
ejpam-3519	43	7	time	time	NOUN
ejpam-3519	43	8	and	and	CCONJ
ejpam-3519	43	9	will	will	AUX
ejpam-3519	43	10	be	be	AUX
ejpam-3519	43	11	marked	mark	VERB
ejpam-3519	43	12	t	t	NOUN
ejpam-3519	43	13	.	.	PUNCT
ejpam-3519	44	1	2.1	2.1	NUM
ejpam-3519	44	2	.	.	PUNCT
ejpam-3519	44	3	expression	expression	NOUN
ejpam-3519	44	4	of	of	ADP
ejpam-3519	44	5	the	the	DET
ejpam-3519	44	6	density	density	NOUN
ejpam-3519	44	7	and	and	CCONJ
ejpam-3519	44	8	risk	risk	NOUN
ejpam-3519	44	9	functions	function	NOUN
ejpam-3519	44	10	in	in	ADP
ejpam-3519	44	11	survival	survival	NOUN
ejpam-3519	44	12	analysis	analysis	NOUN
ejpam-3519	44	13	in	in	ADP
ejpam-3519	44	14	what	what	PRON
ejpam-3519	44	15	follows	follow	VERB
ejpam-3519	44	16	,	,	PUNCT
ejpam-3519	44	17	it	it	PRON
ejpam-3519	44	18	is	be	AUX
ejpam-3519	44	19	assumed	assume	VERB
ejpam-3519	44	20	that	that	SCONJ
ejpam-3519	44	21	an	an	DET
ejpam-3519	44	22	individual	individual	NOUN
ejpam-3519	44	23	suffers	suffer	VERB
ejpam-3519	44	24	once	once	ADV
ejpam-3519	44	25	and	and	CCONJ
ejpam-3519	44	26	only	only	ADV
ejpam-3519	44	27	once	once	ADV
ejpam-3519	44	28	a	a	DET
ejpam-3519	44	29	certain	certain	ADJ
ejpam-3519	44	30	type	type	NOUN
ejpam-3519	44	31	of	of	ADP
ejpam-3519	44	32	events	event	NOUN
ejpam-3519	44	33	.	.	PUNCT
ejpam-3519	45	1	observations	observation	NOUN
ejpam-3519	45	2	of	of	ADP
ejpam-3519	45	3	the	the	DET
ejpam-3519	45	4	occurrence	occurrence	NOUN
ejpam-3519	45	5	(	(	PUNCT
ejpam-3519	45	6	censored	censored	ADJ
ejpam-3519	45	7	or	or	CCONJ
ejpam-3519	45	8	uncensored	uncensored	ADJ
ejpam-3519	45	9	)	)	PUNCT
ejpam-3519	45	10	of	of	ADP
ejpam-3519	45	11	this	this	DET
ejpam-3519	45	12	event	event	NOUN
ejpam-3519	45	13	in	in	ADP
ejpam-3519	45	14	individuals	individual	NOUN
ejpam-3519	45	15	constitute	constitute	VERB
ejpam-3519	45	16	the	the	DET
ejpam-3519	45	17	samples	sample	NOUN
ejpam-3519	45	18	to	to	PART
ejpam-3519	45	19	identify	identify	VERB
ejpam-3519	45	20	survival	survival	NOUN
ejpam-3519	45	21	patterns	pattern	NOUN
ejpam-3519	45	22	.	.	PUNCT
ejpam-3519	46	1	d.	d.	PROPN
ejpam-3519	46	2	a.	a.	PROPN
ejpam-3519	46	3	n.	n.	PROPN
ejpam-3519	46	4	njamen	njamen	PROPN
ejpam-3519	46	5	,	,	PUNCT
ejpam-3519	46	6	h.	h.	PROPN
ejpam-3519	46	7	c.	c.	PROPN
ejpam-3519	46	8	yayebga	yayebga	PROPN
ejpam-3519	46	9	/	/	SYM
ejpam-3519	46	10	eur	eur	PROPN
ejpam-3519	46	11	.	.	PUNCT
ejpam-3519	47	1	j.	j.	PROPN
ejpam-3519	47	2	pure	pure	PROPN
ejpam-3519	47	3	appl	appl	PROPN
ejpam-3519	47	4	.	.	PROPN
ejpam-3519	47	5	math	math	PROPN
ejpam-3519	47	6	,	,	PUNCT
ejpam-3519	47	7	12	12	NUM
ejpam-3519	47	8	(	(	PUNCT
ejpam-3519	47	9	4	4	NUM
ejpam-3519	47	10	)	)	PUNCT
ejpam-3519	47	11	(	(	PUNCT
ejpam-3519	47	12	2019	2019	NUM
ejpam-3519	47	13	)	)	PUNCT
ejpam-3519	47	14	,	,	PUNCT
ejpam-3519	47	15	1612	1612	NUM
ejpam-3519	47	16	-	-	SYM
ejpam-3519	47	17	1642	1642	NUM
ejpam-3519	47	18	1614	1614	NUM
ejpam-3519	47	19	let	let	VERB
ejpam-3519	47	20	t	t	PROPN
ejpam-3519	47	21	be	be	AUX
ejpam-3519	47	22	the	the	DET
ejpam-3519	47	23	survival	survival	ADJ
ejpam-3519	47	24	time	time	NOUN
ejpam-3519	47	25	that	that	PRON
ejpam-3519	47	26	is	be	AUX
ejpam-3519	47	27	assumed	assume	VERB
ejpam-3519	47	28	to	to	PART
ejpam-3519	47	29	be	be	AUX
ejpam-3519	47	30	a	a	DET
ejpam-3519	47	31	positive	positive	ADJ
ejpam-3519	47	32	variable	variable	NOUN
ejpam-3519	47	33	.	.	PUNCT
ejpam-3519	48	1	its	its	PRON
ejpam-3519	48	2	probability	probability	NOUN
ejpam-3519	48	3	law	law	NOUN
ejpam-3519	48	4	can	can	AUX
ejpam-3519	48	5	be	be	AUX
ejpam-3519	48	6	defined	define	VERB
ejpam-3519	48	7	by	by	ADP
ejpam-3519	48	8	one	one	NUM
ejpam-3519	48	9	of	of	ADP
ejpam-3519	48	10	the	the	DET
ejpam-3519	48	11	following	follow	VERB
ejpam-3519	48	12	functions	function	NOUN
ejpam-3519	48	13	:	:	PUNCT
ejpam-3519	48	14	2.1.1	2.1.1	NUM
ejpam-3519	48	15	.	.	PUNCT
ejpam-3519	48	16	probability	probability	NOUN
ejpam-3519	48	17	density	density	NOUN
ejpam-3519	48	18	function	function	NOUN
ejpam-3519	48	19	definition	definition	NOUN
ejpam-3519	48	20	1	1	NUM
ejpam-3519	48	21	.	.	PUNCT
ejpam-3519	49	1	the	the	DET
ejpam-3519	49	2	probability	probability	NOUN
ejpam-3519	49	3	density	density	NOUN
ejpam-3519	49	4	function	function	NOUN
ejpam-3519	49	5	of	of	ADP
ejpam-3519	49	6	t	t	PROPN
ejpam-3519	49	7	,	,	PUNCT
ejpam-3519	49	8	denoted	denote	VERB
ejpam-3519	49	9	f(t	f(t	NOUN
ejpam-3519	49	10	)	)	PUNCT
ejpam-3519	49	11	is	be	AUX
ejpam-3519	49	12	defined	define	VERB
ejpam-3519	49	13	by	by	ADP
ejpam-3519	49	14	:	:	PUNCT
ejpam-3519	49	15	f(t	f(t	PROPN
ejpam-3519	49	16	)	)	PUNCT
ejpam-3519	50	1	=	=	SYM
ejpam-3519	50	2	lim	lim	PROPN
ejpam-3519	50	3	∆t→0	∆t→0	PROPN
ejpam-3519	50	4	+	+	X
ejpam-3519	50	5	p	p	X
ejpam-3519	50	6	(	(	PUNCT
ejpam-3519	50	7	t	t	PROPN
ejpam-3519	50	8	≤	≤	PROPN
ejpam-3519	50	9	t	t	PROPN
ejpam-3519	50	10	≤	≤	NUM
ejpam-3519	50	11	t+	t+	PUNCT
ejpam-3519	50	12	∆t	∆t	PROPN
ejpam-3519	50	13	∆t	∆t	PROPN
ejpam-3519	50	14	)	)	PUNCT
ejpam-3519	50	15	.	.	PUNCT
ejpam-3519	51	1	(	(	PUNCT
ejpam-3519	51	2	1	1	X
ejpam-3519	51	3	)	)	PUNCT
ejpam-3519	51	4	for	for	ADP
ejpam-3519	51	5	fixed	fix	VERB
ejpam-3519	51	6	t	t	PROPN
ejpam-3519	51	7	,	,	PUNCT
ejpam-3519	51	8	the	the	DET
ejpam-3519	51	9	probability	probability	NOUN
ejpam-3519	51	10	density	density	NOUN
ejpam-3519	51	11	is	be	AUX
ejpam-3519	51	12	interpreted	interpret	VERB
ejpam-3519	51	13	as	as	ADP
ejpam-3519	51	14	the	the	DET
ejpam-3519	51	15	probability	probability	NOUN
ejpam-3519	51	16	that	that	SCONJ
ejpam-3519	51	17	the	the	DET
ejpam-3519	51	18	event	event	NOUN
ejpam-3519	51	19	occurs	occur	VERB
ejpam-3519	51	20	in	in	ADP
ejpam-3519	51	21	the	the	DET
ejpam-3519	51	22	short	short	ADJ
ejpam-3519	51	23	time	time	NOUN
ejpam-3519	51	24	interval	interval	NOUN
ejpam-3519	51	25	]	]	X
ejpam-3519	51	26	t	t	PROPN
ejpam-3519	51	27	,	,	PUNCT
ejpam-3519	51	28	t+	t+	NOUN
ejpam-3519	52	1	∆	∆	PROPN
ejpam-3519	52	2	[	[	X
ejpam-3519	52	3	.	.	NOUN
ejpam-3519	52	4	2.1.2	2.1.2	X
ejpam-3519	52	5	.	.	PUNCT
ejpam-3519	52	6	risk	risk	NOUN
ejpam-3519	52	7	function	function	NOUN
ejpam-3519	52	8	definition	definition	NOUN
ejpam-3519	52	9	2	2	NUM
ejpam-3519	52	10	.	.	PUNCT
ejpam-3519	53	1	the	the	DET
ejpam-3519	53	2	risk	risk	NOUN
ejpam-3519	53	3	function	function	NOUN
ejpam-3519	53	4	of	of	ADP
ejpam-3519	53	5	t	t	PROPN
ejpam-3519	53	6	denoted	denote	VERB
ejpam-3519	53	7	h(t	h(t	PROPN
ejpam-3519	53	8	)	)	PUNCT
ejpam-3519	53	9	is	be	AUX
ejpam-3519	53	10	defined	define	VERB
ejpam-3519	53	11	by	by	ADP
ejpam-3519	53	12	:	:	PUNCT
ejpam-3519	53	13	h(t	h(t	X
ejpam-3519	53	14	)	)	PUNCT
ejpam-3519	54	1	=	=	PRON
ejpam-3519	54	2	{	{	PUNCT
ejpam-3519	54	3	lim∆t→0	lim∆t→0	PROPN
ejpam-3519	54	4	p(t	p(t	PROPN
ejpam-3519	54	5	<	<	X
ejpam-3519	54	6	t≤t+∆t|t	t≤t+∆t|t	PROPN
ejpam-3519	54	7	>	>	X
ejpam-3519	54	8	t	t	PROPN
ejpam-3519	54	9	)	)	PUNCT
ejpam-3519	54	10	∆t	∆t	PROPN
ejpam-3519	54	11	,	,	PUNCT
ejpam-3519	54	12	if	if	SCONJ
ejpam-3519	54	13	t	t	PROPN
ejpam-3519	54	14	>	>	X
ejpam-3519	54	15	0	0	PUNCT
ejpam-3519	54	16	and	and	CCONJ
ejpam-3519	54	17	such	such	ADJ
ejpam-3519	54	18	that	that	PRON
ejpam-3519	54	19	p(t	p(t	PROPN
ejpam-3519	54	20	>	>	X
ejpam-3519	54	21	t	t	PROPN
ejpam-3519	54	22	)	)	PUNCT
ejpam-3519	54	23	>	>	X
ejpam-3519	54	24	0	0	NUM
ejpam-3519	54	25	;	;	PUNCT
ejpam-3519	54	26	+	+	SYM
ejpam-3519	54	27	∞	∞	NOUN
ejpam-3519	54	28	if	if	SCONJ
ejpam-3519	54	29	not	not	PART
ejpam-3519	54	30	.	.	PUNCT
ejpam-3519	55	1	(	(	PUNCT
ejpam-3519	55	2	2	2	X
ejpam-3519	55	3	)	)	PUNCT
ejpam-3519	55	4	for	for	ADP
ejpam-3519	55	5	fixed	fix	VERB
ejpam-3519	55	6	t	t	PROPN
ejpam-3519	55	7	,	,	PUNCT
ejpam-3519	55	8	the	the	DET
ejpam-3519	55	9	risk	risk	NOUN
ejpam-3519	55	10	function	function	NOUN
ejpam-3519	55	11	h	h	NOUN
ejpam-3519	55	12	is	be	AUX
ejpam-3519	55	13	the	the	DET
ejpam-3519	55	14	instantaneous	instantaneous	ADJ
ejpam-3519	55	15	risk	risk	NOUN
ejpam-3519	55	16	that	that	SCONJ
ejpam-3519	55	17	the	the	DET
ejpam-3519	55	18	event	event	NOUN
ejpam-3519	55	19	occurs	occur	VERB
ejpam-3519	55	20	in	in	ADP
ejpam-3519	55	21	the	the	DET
ejpam-3519	55	22	interval	interval	NOUN
ejpam-3519	55	23	]	]	X
ejpam-3519	55	24	t	t	PROPN
ejpam-3519	55	25	,	,	PUNCT
ejpam-3519	55	26	t	t	PROPN
ejpam-3519	55	27	+	+	CCONJ
ejpam-3519	55	28	∆	∆	PROPN
ejpam-3519	55	29	[	[	PUNCT
ejpam-3519	55	30	knowing	know	VERB
ejpam-3519	55	31	that	that	SCONJ
ejpam-3519	55	32	it	it	PRON
ejpam-3519	55	33	did	do	AUX
ejpam-3519	55	34	not	not	PART
ejpam-3519	55	35	take	take	VERB
ejpam-3519	55	36	place	place	NOUN
ejpam-3519	55	37	before	before	ADP
ejpam-3519	55	38	time	time	NOUN
ejpam-3519	55	39	t	t	PROPN
ejpam-3519	55	40	(	(	PUNCT
ejpam-3519	55	41	being	be	AUX
ejpam-3519	55	42	in	in	ADP
ejpam-3519	55	43	”	"	PUNCT
ejpam-3519	55	44	operation	operation	NOUN
ejpam-3519	55	45	”	"	PUNCT
ejpam-3519	55	46	or	or	CCONJ
ejpam-3519	55	47	be	be	AUX
ejpam-3519	55	48	”	"	PUNCT
ejpam-3519	55	49	alive	alive	ADJ
ejpam-3519	55	50	”	"	PUNCT
ejpam-3519	55	51	before	before	ADP
ejpam-3519	55	52	time	time	NOUN
ejpam-3519	55	53	t	t	PROPN
ejpam-3519	55	54	)	)	PUNCT
ejpam-3519	55	55	.	.	PUNCT
ejpam-3519	56	1	remark	remark	PROPN
ejpam-3519	56	2	1	1	NUM
ejpam-3519	56	3	.	.	PUNCT
ejpam-3519	57	1	the	the	DET
ejpam-3519	57	2	risk	risk	NOUN
ejpam-3519	57	3	function	function	NOUN
ejpam-3519	57	4	is	be	AUX
ejpam-3519	57	5	also	also	ADV
ejpam-3519	57	6	called	call	VERB
ejpam-3519	57	7	hazard	hazard	NOUN
ejpam-3519	57	8	function	function	NOUN
ejpam-3519	57	9	,	,	PUNCT
ejpam-3519	57	10	chance	chance	NOUN
ejpam-3519	57	11	rate	rate	NOUN
ejpam-3519	57	12	,	,	PUNCT
ejpam-3519	57	13	failure	failure	NOUN
ejpam-3519	57	14	rate	rate	NOUN
ejpam-3519	57	15	or	or	CCONJ
ejpam-3519	57	16	survival	survival	NOUN
ejpam-3519	57	17	rate	rate	NOUN
ejpam-3519	57	18	.	.	PUNCT
ejpam-3519	58	1	the	the	DET
ejpam-3519	58	2	risk	risk	NOUN
ejpam-3519	58	3	function	function	NOUN
ejpam-3519	58	4	may	may	AUX
ejpam-3519	58	5	have	have	VERB
ejpam-3519	58	6	different	different	ADJ
ejpam-3519	58	7	forms	form	NOUN
ejpam-3519	58	8	but	but	CCONJ
ejpam-3519	58	9	is	be	AUX
ejpam-3519	58	10	necessarily	necessarily	ADV
ejpam-3519	58	11	positive	positive	ADJ
ejpam-3519	58	12	on	on	ADP
ejpam-3519	58	13	r.	r.	PROPN
ejpam-3519	58	14	suppose	suppose	VERB
ejpam-3519	58	15	now	now	ADV
ejpam-3519	58	16	that	that	SCONJ
ejpam-3519	58	17	t	t	PROPN
ejpam-3519	58	18	is	be	AUX
ejpam-3519	58	19	a	a	DET
ejpam-3519	58	20	continuous	continuous	ADJ
ejpam-3519	58	21	variable	variable	NOUN
ejpam-3519	58	22	,	,	PUNCT
ejpam-3519	58	23	we	we	PRON
ejpam-3519	58	24	observe	observe	VERB
ejpam-3519	58	25	that	that	SCONJ
ejpam-3519	58	26	the	the	DET
ejpam-3519	58	27	risk	risk	NOUN
ejpam-3519	58	28	function	function	NOUN
ejpam-3519	58	29	is	be	AUX
ejpam-3519	58	30	defined	define	VERB
ejpam-3519	58	31	by	by	ADP
ejpam-3519	58	32	:	:	PUNCT
ejpam-3519	58	33	h(t	h(t	NUM
ejpam-3519	58	34	)	)	PUNCT
ejpam-3519	59	1	=	=	SYM
ejpam-3519	59	2	lim	lim	PROPN
ejpam-3519	59	3	∆t→0	∆t→0	VERB
ejpam-3519	59	4	p(t	p(t	PROPN
ejpam-3519	59	5	<	<	X
ejpam-3519	59	6	t	t	X
ejpam-3519	59	7	≤	≤	NUM
ejpam-3519	59	8	t+	t+	PUNCT
ejpam-3519	59	9	∆t|t	∆t|t	PROPN
ejpam-3519	59	10	>	>	X
ejpam-3519	59	11	t	t	PROPN
ejpam-3519	59	12	)	)	PUNCT
ejpam-3519	59	13	∆t	∆t	PROPN
ejpam-3519	60	1	=	=	SYM
ejpam-3519	60	2	lim	lim	PROPN
ejpam-3519	60	3	∆t→0	∆t→0	VERB
ejpam-3519	60	4	1	1	NUM
ejpam-3519	60	5	∆t	∆t	NOUN
ejpam-3519	60	6	p(t	p(t	NOUN
ejpam-3519	60	7	<	<	X
ejpam-3519	60	8	t	t	X
ejpam-3519	60	9	≤	≤	NUM
ejpam-3519	60	10	t+	t+	PUNCT
ejpam-3519	60	11	∆t	∆t	NOUN
ejpam-3519	60	12	)	)	PUNCT
ejpam-3519	60	13	p(t	p(t	NOUN
ejpam-3519	60	14	>	>	X
ejpam-3519	60	15	t	t	PROPN
ejpam-3519	60	16	)	)	PUNCT
ejpam-3519	60	17	=	=	SYM
ejpam-3519	60	18	f(t	f(t	NOUN
ejpam-3519	60	19	)	)	PUNCT
ejpam-3519	60	20	s(t	s(t	PROPN
ejpam-3519	60	21	)	)	PUNCT
ejpam-3519	60	22	,	,	PUNCT
ejpam-3519	60	23	(	(	PUNCT
ejpam-3519	60	24	3	3	X
ejpam-3519	60	25	)	)	PUNCT
ejpam-3519	60	26	where	where	SCONJ
ejpam-3519	60	27	s	s	VERB
ejpam-3519	60	28	=	=	PUNCT
ejpam-3519	60	29	p(t	p(t	X
ejpam-3519	60	30	>	>	X
ejpam-3519	60	31	t	t	PROPN
ejpam-3519	60	32	)	)	PUNCT
ejpam-3519	60	33	is	be	AUX
ejpam-3519	60	34	the	the	DET
ejpam-3519	60	35	survival	survival	NOUN
ejpam-3519	60	36	function	function	NOUN
ejpam-3519	60	37	.	.	PUNCT
ejpam-3519	61	1	the	the	DET
ejpam-3519	61	2	hazard	hazard	NOUN
ejpam-3519	61	3	function	function	NOUN
ejpam-3519	61	4	characterizes	characterize	VERB
ejpam-3519	61	5	the	the	DET
ejpam-3519	61	6	law	law	NOUN
ejpam-3519	61	7	of	of	ADP
ejpam-3519	61	8	t	t	PROPN
ejpam-3519	61	9	because	because	SCONJ
ejpam-3519	61	10	of	of	ADP
ejpam-3519	61	11	the	the	DET
ejpam-3519	61	12	relation	relation	NOUN
ejpam-3519	61	13	:	:	PUNCT
ejpam-3519	61	14	s(t	s(t	PROPN
ejpam-3519	61	15	)	)	PUNCT
ejpam-3519	61	16	=	=	PUNCT
ejpam-3519	62	1	exp(−	exp(−	PROPN
ejpam-3519	62	2	∫	∫	PROPN
ejpam-3519	62	3	t	t	PROPN
ejpam-3519	62	4	0	0	NUM
ejpam-3519	62	5	h(u)du	h(u)du	PROPN
ejpam-3519	62	6	)	)	PUNCT
ejpam-3519	62	7	.	.	PUNCT
ejpam-3519	63	1	2.1.3	2.1.3	X
ejpam-3519	63	2	.	.	PUNCT
ejpam-3519	63	3	cumulative	cumulative	ADJ
ejpam-3519	63	4	risk	risk	NOUN
ejpam-3519	63	5	function	function	NOUN
ejpam-3519	63	6	definition	definition	NOUN
ejpam-3519	63	7	3	3	NUM
ejpam-3519	63	8	.	.	PUNCT
ejpam-3519	64	1	the	the	DET
ejpam-3519	64	2	cumulative	cumulative	ADJ
ejpam-3519	64	3	risk	risk	NOUN
ejpam-3519	64	4	function	function	NOUN
ejpam-3519	64	5	λ(t	λ(t	NOUN
ejpam-3519	64	6	)	)	PUNCT
ejpam-3519	64	7	is	be	AUX
ejpam-3519	64	8	defined	define	VERB
ejpam-3519	64	9	by	by	ADP
ejpam-3519	64	10	:	:	PUNCT
ejpam-3519	64	11	λ(t	λ(t	NOUN
ejpam-3519	64	12	)	)	PUNCT
ejpam-3519	65	1	=	=	SYM
ejpam-3519	66	1	∫	∫	PROPN
ejpam-3519	66	2	t	t	PROPN
ejpam-3519	66	3	0	0	NUM
ejpam-3519	66	4	h(u)du	h(u)du	PROPN
ejpam-3519	66	5	.	.	PUNCT
ejpam-3519	67	1	(	(	PUNCT
ejpam-3519	67	2	4	4	X
ejpam-3519	67	3	)	)	PUNCT
ejpam-3519	67	4	d.	d.	PROPN
ejpam-3519	67	5	a.	a.	PROPN
ejpam-3519	67	6	n.	n.	PROPN
ejpam-3519	67	7	njamen	njamen	PROPN
ejpam-3519	67	8	,	,	PUNCT
ejpam-3519	67	9	h.	h.	PROPN
ejpam-3519	67	10	c.	c.	PROPN
ejpam-3519	67	11	yayebga	yayebga	PROPN
ejpam-3519	67	12	/	/	SYM
ejpam-3519	67	13	eur	eur	PROPN
ejpam-3519	67	14	.	.	PUNCT
ejpam-3519	68	1	j.	j.	PROPN
ejpam-3519	68	2	pure	pure	PROPN
ejpam-3519	68	3	appl	appl	PROPN
ejpam-3519	68	4	.	.	PROPN
ejpam-3519	68	5	math	math	PROPN
ejpam-3519	68	6	,	,	PUNCT
ejpam-3519	68	7	12	12	NUM
ejpam-3519	68	8	(	(	PUNCT
ejpam-3519	68	9	4	4	NUM
ejpam-3519	68	10	)	)	PUNCT
ejpam-3519	68	11	(	(	PUNCT
ejpam-3519	68	12	2019	2019	NUM
ejpam-3519	68	13	)	)	PUNCT
ejpam-3519	68	14	,	,	PUNCT
ejpam-3519	68	15	1612	1612	NUM
ejpam-3519	68	16	-	-	SYM
ejpam-3519	68	17	1642	1642	NUM
ejpam-3519	68	18	1615	1615	NUM
ejpam-3519	68	19	2.2	2.2	NUM
ejpam-3519	68	20	.	.	PUNCT
ejpam-3519	69	1	different	different	ADJ
ejpam-3519	69	2	forms	form	NOUN
ejpam-3519	69	3	of	of	ADP
ejpam-3519	69	4	the	the	DET
ejpam-3519	69	5	risk	risk	NOUN
ejpam-3519	69	6	function	function	NOUN
ejpam-3519	69	7	in	in	ADP
ejpam-3519	69	8	this	this	DET
ejpam-3519	69	9	subsection	subsection	NOUN
ejpam-3519	69	10	we	we	PRON
ejpam-3519	69	11	give	give	VERB
ejpam-3519	69	12	the	the	DET
ejpam-3519	69	13	main	main	ADJ
ejpam-3519	69	14	forms	form	NOUN
ejpam-3519	69	15	of	of	ADP
ejpam-3519	69	16	law	law	NOUN
ejpam-3519	69	17	used	use	VERB
ejpam-3519	69	18	in	in	ADP
ejpam-3519	69	19	survival	survival	NOUN
ejpam-3519	69	20	data	datum	NOUN
ejpam-3519	69	21	.	.	PUNCT
ejpam-3519	70	1	the	the	DET
ejpam-3519	70	2	usual	usual	ADJ
ejpam-3519	70	3	forms	form	NOUN
ejpam-3519	70	4	of	of	ADP
ejpam-3519	70	5	the	the	DET
ejpam-3519	70	6	function	function	NOUN
ejpam-3519	70	7	h	h	NOUN
ejpam-3519	70	8	are	be	AUX
ejpam-3519	70	9	constant	constant	ADJ
ejpam-3519	70	10	,	,	PUNCT
ejpam-3519	70	11	monotonous	monotonous	ADJ
ejpam-3519	70	12	(	(	PUNCT
ejpam-3519	70	13	increasing	increase	VERB
ejpam-3519	70	14	or	or	CCONJ
ejpam-3519	70	15	decreasing	decrease	VERB
ejpam-3519	70	16	)	)	PUNCT
ejpam-3519	70	17	and	and	CCONJ
ejpam-3519	70	18	in	in	ADP
ejpam-3519	70	19	the	the	DET
ejpam-3519	70	20	form	form	NOUN
ejpam-3519	70	21	of	of	ADP
ejpam-3519	70	22	∩.	∩.	NOUN
ejpam-3519	70	23	2.2.1	2.2.1	NUM
ejpam-3519	70	24	.	.	PUNCT
ejpam-3519	71	1	constant	constant	ADJ
ejpam-3519	71	2	risk	risk	NOUN
ejpam-3519	71	3	the	the	DET
ejpam-3519	71	4	only	only	ADJ
ejpam-3519	71	5	distribution	distribution	NOUN
ejpam-3519	71	6	that	that	PRON
ejpam-3519	71	7	has	have	VERB
ejpam-3519	71	8	a	a	DET
ejpam-3519	71	9	constant	constant	ADJ
ejpam-3519	71	10	h	h	NOUN
ejpam-3519	71	11	risk	risk	NOUN
ejpam-3519	71	12	function	function	NOUN
ejpam-3519	71	13	is	be	AUX
ejpam-3519	71	14	the	the	DET
ejpam-3519	71	15	exponential	exponential	ADJ
ejpam-3519	71	16	law	law	NOUN
ejpam-3519	71	17	.	.	PUNCT
ejpam-3519	72	1	the	the	DET
ejpam-3519	72	2	probability	probability	NOUN
ejpam-3519	72	3	density	density	NOUN
ejpam-3519	72	4	and	and	CCONJ
ejpam-3519	72	5	the	the	DET
ejpam-3519	72	6	risk	risk	NOUN
ejpam-3519	72	7	function	function	NOUN
ejpam-3519	72	8	h	h	NOUN
ejpam-3519	72	9	are	be	AUX
ejpam-3519	72	10	respectively	respectively	ADV
ejpam-3519	72	11	defined	define	VERB
ejpam-3519	72	12	by	by	ADP
ejpam-3519	72	13	the	the	DET
ejpam-3519	72	14	exponential	exponential	ADJ
ejpam-3519	72	15	law	law	NOUN
ejpam-3519	72	16	denoted	denote	VERB
ejpam-3519	72	17	ε(λ	ε(λ	NOUN
ejpam-3519	72	18	):	):	PUNCT
ejpam-3519	72	19	f(t	f(t	NOUN
ejpam-3519	72	20	,	,	PUNCT
ejpam-3519	72	21	λ	λ	NOUN
ejpam-3519	72	22	)	)	PUNCT
ejpam-3519	72	23	=	=	SYM
ejpam-3519	72	24	λe−(λt	λe−(λt	NOUN
ejpam-3519	72	25	)	)	PUNCT
ejpam-3519	72	26	,	,	PUNCT
ejpam-3519	72	27	t	t	PROPN
ejpam-3519	72	28	≥	≥	NUM
ejpam-3519	72	29	0	0	NUM
ejpam-3519	72	30	;	;	PUNCT
ejpam-3519	72	31	h(t	h(t	X
ejpam-3519	72	32	)	)	PUNCT
ejpam-3519	73	1	=	=	SYM
ejpam-3519	73	2	λ	λ	X
ejpam-3519	73	3	.	.	NOUN
ejpam-3519	73	4	2.2.2	2.2.2	NUM
ejpam-3519	73	5	.	.	PUNCT
ejpam-3519	73	6	monotonous	monotonous	ADJ
ejpam-3519	73	7	risk	risk	NOUN
ejpam-3519	73	8	there	there	PRON
ejpam-3519	73	9	are	be	VERB
ejpam-3519	73	10	several	several	ADJ
ejpam-3519	73	11	life	life	NOUN
ejpam-3519	73	12	-	-	PUNCT
ejpam-3519	73	13	time	time	NOUN
ejpam-3519	73	14	distributions	distribution	NOUN
ejpam-3519	73	15	with	with	ADP
ejpam-3519	73	16	a	a	DET
ejpam-3519	73	17	monotonic	monotonic	ADJ
ejpam-3519	73	18	risk	risk	NOUN
ejpam-3519	73	19	function	function	NOUN
ejpam-3519	73	20	.	.	PUNCT
ejpam-3519	74	1	•	•	NUM
ejpam-3519	74	2	weibull	weibull	PROPN
ejpam-3519	74	3	law	law	PROPN
ejpam-3519	74	4	w	w	PROPN
ejpam-3519	74	5	(	(	PUNCT
ejpam-3519	74	6	λ	λ	PROPN
ejpam-3519	74	7	,	,	PUNCT
ejpam-3519	74	8	α	α	NOUN
ejpam-3519	74	9	)	)	PUNCT
ejpam-3519	74	10	there	there	PRON
ejpam-3519	74	11	are	be	VERB
ejpam-3519	74	12	several	several	ADJ
ejpam-3519	74	13	life	life	NOUN
ejpam-3519	74	14	-	-	PUNCT
ejpam-3519	74	15	time	time	NOUN
ejpam-3519	74	16	distributions	distribution	NOUN
ejpam-3519	74	17	with	with	ADP
ejpam-3519	74	18	a	a	DET
ejpam-3519	74	19	monotonic	monotonic	ADJ
ejpam-3519	74	20	risk	risk	NOUN
ejpam-3519	74	21	function	function	NOUN
ejpam-3519	74	22	.	.	PUNCT
ejpam-3519	75	1	f(t	f(t	NOUN
ejpam-3519	75	2	,	,	PUNCT
ejpam-3519	75	3	α	α	NOUN
ejpam-3519	75	4	,	,	PUNCT
ejpam-3519	75	5	λ	λ	NOUN
ejpam-3519	75	6	)	)	PUNCT
ejpam-3519	75	7	=	=	SYM
ejpam-3519	75	8	αλαtα−1e−(λt)α	αλαtα−1e−(λt)α	PROPN
ejpam-3519	75	9	;	;	PUNCT
ejpam-3519	75	10	h(t	h(t	X
ejpam-3519	75	11	)	)	PUNCT
ejpam-3519	75	12	=	=	SYM
ejpam-3519	75	13	αλαtα−1	αλαtα−1	NOUN
ejpam-3519	75	14	.	.	PUNCT
ejpam-3519	76	1	the	the	DET
ejpam-3519	76	2	parameter	parameter	NOUN
ejpam-3519	76	3	α	α	PROPN
ejpam-3519	76	4	is	be	AUX
ejpam-3519	76	5	a	a	DET
ejpam-3519	76	6	form	form	NOUN
ejpam-3519	76	7	parameter	parameter	NOUN
ejpam-3519	76	8	of	of	ADP
ejpam-3519	76	9	h	h	NOUN
ejpam-3519	76	10	and	and	CCONJ
ejpam-3519	76	11	λ	λ	PROPN
ejpam-3519	76	12	is	be	AUX
ejpam-3519	76	13	a	a	DET
ejpam-3519	76	14	scale	scale	NOUN
ejpam-3519	76	15	parameter	parameter	NOUN
ejpam-3519	76	16	.	.	PUNCT
ejpam-3519	77	1	remark	remark	PROPN
ejpam-3519	77	2	2	2	NUM
ejpam-3519	77	3	.	.	PUNCT
ejpam-3519	78	1	(	(	PUNCT
ejpam-3519	78	2	i	i	NOUN
ejpam-3519	78	3	)	)	PUNCT
ejpam-3519	78	4	if	if	SCONJ
ejpam-3519	78	5	α	α	PRON
ejpam-3519	78	6	=	=	SYM
ejpam-3519	78	7	1	1	NUM
ejpam-3519	78	8	,	,	PUNCT
ejpam-3519	78	9	we	we	PRON
ejpam-3519	78	10	obtain	obtain	VERB
ejpam-3519	78	11	the	the	DET
ejpam-3519	78	12	exponential	exponential	ADJ
ejpam-3519	78	13	law	law	NOUN
ejpam-3519	78	14	w	w	PROPN
ejpam-3519	78	15	(	(	PUNCT
ejpam-3519	78	16	λ	λ	PROPN
ejpam-3519	78	17	,	,	PUNCT
ejpam-3519	78	18	1	1	NUM
ejpam-3519	78	19	)	)	PUNCT
ejpam-3519	78	20	=	=	SYM
ejpam-3519	78	21	ε(λ	ε(λ	NOUN
ejpam-3519	78	22	)	)	PUNCT
ejpam-3519	78	23	(	(	PUNCT
ejpam-3519	78	24	ii	ii	NOUN
ejpam-3519	78	25	)	)	PUNCT
ejpam-3519	78	26	if	if	SCONJ
ejpam-3519	78	27	0	0	NUM
ejpam-3519	78	28	<	<	X
ejpam-3519	78	29	α	α	X
ejpam-3519	78	30	<	<	X
ejpam-3519	78	31	1	1	NUM
ejpam-3519	78	32	,	,	PUNCT
ejpam-3519	78	33	the	the	DET
ejpam-3519	78	34	risk	risk	NOUN
ejpam-3519	78	35	function	function	NOUN
ejpam-3519	78	36	h	h	NOUN
ejpam-3519	78	37	is	be	AUX
ejpam-3519	78	38	decreasing	decrease	VERB
ejpam-3519	78	39	from	from	ADP
ejpam-3519	78	40	∞	∞	PROPN
ejpam-3519	78	41	to	to	ADP
ejpam-3519	78	42	0	0	NUM
ejpam-3519	78	43	(	(	PUNCT
ejpam-3519	78	44	iii	iii	NOUN
ejpam-3519	78	45	)	)	PUNCT
ejpam-3519	78	46	if	if	SCONJ
ejpam-3519	78	47	α	α	PROPN
ejpam-3519	78	48	>	>	X
ejpam-3519	78	49	1	1	NUM
ejpam-3519	78	50	,	,	PUNCT
ejpam-3519	78	51	the	the	DET
ejpam-3519	78	52	risk	risk	NOUN
ejpam-3519	78	53	function	function	NOUN
ejpam-3519	78	54	h	h	NOUN
ejpam-3519	78	55	is	be	AUX
ejpam-3519	78	56	increasing	increase	VERB
ejpam-3519	78	57	from	from	ADP
ejpam-3519	78	58	(	(	PUNCT
ejpam-3519	78	59	0	0	NUM
ejpam-3519	78	60	to	to	ADP
ejpam-3519	78	61	∞	∞	NUM
ejpam-3519	78	62	)	)	PUNCT
ejpam-3519	78	63	.	.	PUNCT
ejpam-3519	79	1	•	•	NUM
ejpam-3519	79	2	gamma	gamma	NOUN
ejpam-3519	79	3	law	law	NOUN
ejpam-3519	79	4	γ(λ	γ(λ	PROPN
ejpam-3519	79	5	,	,	PUNCT
ejpam-3519	79	6	β	β	X
ejpam-3519	79	7	)	)	PUNCT
ejpam-3519	79	8	the	the	DET
ejpam-3519	79	9	probability	probability	NOUN
ejpam-3519	79	10	density	density	NOUN
ejpam-3519	79	11	and	and	CCONJ
ejpam-3519	79	12	the	the	DET
ejpam-3519	79	13	risk	risk	NOUN
ejpam-3519	79	14	function	function	NOUN
ejpam-3519	79	15	are	be	AUX
ejpam-3519	79	16	respectively	respectively	ADV
ejpam-3519	79	17	defined	define	VERB
ejpam-3519	79	18	by	by	ADP
ejpam-3519	79	19	the	the	DET
ejpam-3519	79	20	gamma	gamma	PROPN
ejpam-3519	79	21	law	law	NOUN
ejpam-3519	79	22	:	:	PUNCT
ejpam-3519	79	23	f(t	f(t	PROPN
ejpam-3519	79	24	,	,	PUNCT
ejpam-3519	79	25	λ	λ	X
ejpam-3519	79	26	,	,	PUNCT
ejpam-3519	79	27	β	β	NOUN
ejpam-3519	79	28	)	)	PUNCT
ejpam-3519	80	1	=	=	SYM
ejpam-3519	80	2	λβ	λβ	ADP
ejpam-3519	80	3	1	1	NUM
ejpam-3519	80	4	γ(β	γ(β	PROPN
ejpam-3519	80	5	)	)	PUNCT
ejpam-3519	80	6	tβ−1e−λt	tβ−1e−λt	NOUN
ejpam-3519	80	7	,	,	PUNCT
ejpam-3519	80	8	λ	λ	PROPN
ejpam-3519	80	9	,	,	PUNCT
ejpam-3519	80	10	β	β	X
ejpam-3519	80	11	>	>	X
ejpam-3519	80	12	0	0	PROPN
ejpam-3519	80	13	,	,	PUNCT
ejpam-3519	80	14	t	t	PROPN
ejpam-3519	80	15	≥	≥	NUM
ejpam-3519	80	16	0	0	NUM
ejpam-3519	80	17	;	;	PUNCT
ejpam-3519	80	18	h(t	h(t	PROPN
ejpam-3519	80	19	,	,	PUNCT
ejpam-3519	80	20	λ	λ	PROPN
ejpam-3519	80	21	,	,	PUNCT
ejpam-3519	80	22	β	β	X
ejpam-3519	80	23	)	)	PUNCT
ejpam-3519	80	24	=	=	PUNCT
ejpam-3519	80	25	f(t	f(t	NOUN
ejpam-3519	80	26	,	,	PUNCT
ejpam-3519	80	27	λ	λ	X
ejpam-3519	80	28	,	,	PUNCT
ejpam-3519	80	29	β	β	NOUN
ejpam-3519	80	30	)	)	PUNCT
ejpam-3519	80	31	1−	1−	NUM
ejpam-3519	80	32	f	f	X
ejpam-3519	80	33	(	(	PUNCT
ejpam-3519	80	34	t	t	PROPN
ejpam-3519	80	35	,	,	PUNCT
ejpam-3519	80	36	λ	λ	PROPN
ejpam-3519	80	37	,	,	PUNCT
ejpam-3519	80	38	β	β	NOUN
ejpam-3519	80	39	)	)	PUNCT
ejpam-3519	80	40	.	.	PUNCT
ejpam-3519	81	1	the	the	DET
ejpam-3519	81	2	parameter	parameter	PROPN
ejpam-3519	81	3	β	β	PROPN
ejpam-3519	81	4	is	be	AUX
ejpam-3519	81	5	the	the	DET
ejpam-3519	81	6	form	form	NOUN
ejpam-3519	81	7	parameter	parameter	NOUN
ejpam-3519	81	8	of	of	ADP
ejpam-3519	81	9	h	h	NOUN
ejpam-3519	81	10	and	and	CCONJ
ejpam-3519	81	11	λ	λ	PROPN
ejpam-3519	81	12	is	be	AUX
ejpam-3519	81	13	scale	scale	NOUN
ejpam-3519	81	14	parameter	parameter	NOUN
ejpam-3519	81	15	.	.	PUNCT
ejpam-3519	82	1	remark	remark	PROPN
ejpam-3519	82	2	3	3	NUM
ejpam-3519	82	3	.	.	PUNCT
ejpam-3519	83	1	(	(	PUNCT
ejpam-3519	83	2	i	i	NOUN
ejpam-3519	83	3	)	)	PUNCT
ejpam-3519	83	4	if	if	SCONJ
ejpam-3519	83	5	β	β	X
ejpam-3519	83	6	=	=	NOUN
ejpam-3519	83	7	1	1	NUM
ejpam-3519	83	8	,	,	PUNCT
ejpam-3519	83	9	we	we	PRON
ejpam-3519	83	10	obtain	obtain	VERB
ejpam-3519	83	11	the	the	DET
ejpam-3519	83	12	exponential	exponential	ADJ
ejpam-3519	83	13	law	law	NOUN
ejpam-3519	83	14	with	with	ADP
ejpam-3519	83	15	parameter	parameter	NOUN
ejpam-3519	83	16	λ	λ	PROPN
ejpam-3519	83	17	:	:	PUNCT
ejpam-3519	83	18	γ(λ	γ(λ	PROPN
ejpam-3519	83	19	,	,	PUNCT
ejpam-3519	83	20	1	1	X
ejpam-3519	83	21	)	)	PUNCT
ejpam-3519	83	22	=	=	SYM
ejpam-3519	83	23	ε(λ	ε(λ	NOUN
ejpam-3519	83	24	)	)	PUNCT
ejpam-3519	83	25	(	(	PUNCT
ejpam-3519	83	26	ii	ii	NOUN
ejpam-3519	83	27	)	)	PUNCT
ejpam-3519	83	28	if	if	SCONJ
ejpam-3519	83	29	β	β	X
ejpam-3519	83	30	>	>	X
ejpam-3519	83	31	1	1	NUM
ejpam-3519	83	32	,	,	PUNCT
ejpam-3519	83	33	the	the	DET
ejpam-3519	83	34	risk	risk	NOUN
ejpam-3519	83	35	function	function	NOUN
ejpam-3519	83	36	h	h	NOUN
ejpam-3519	83	37	is	be	AUX
ejpam-3519	83	38	increasing	increase	VERB
ejpam-3519	83	39	from	from	ADP
ejpam-3519	83	40	0	0	NUM
ejpam-3519	83	41	to	to	ADP
ejpam-3519	83	42	λ	λ	PROPN
ejpam-3519	83	43	.	.	PUNCT
ejpam-3519	84	1	(	(	PUNCT
ejpam-3519	84	2	iii	iii	X
ejpam-3519	84	3	)	)	PUNCT
ejpam-3519	84	4	if	if	SCONJ
ejpam-3519	84	5	0	0	NUM
ejpam-3519	84	6	<	<	X
ejpam-3519	84	7	β	β	X
ejpam-3519	84	8	<	<	X
ejpam-3519	84	9	1	1	NUM
ejpam-3519	84	10	,	,	PUNCT
ejpam-3519	84	11	the	the	DET
ejpam-3519	84	12	risk	risk	NOUN
ejpam-3519	84	13	function	function	NOUN
ejpam-3519	84	14	h	h	NOUN
ejpam-3519	84	15	is	be	AUX
ejpam-3519	84	16	decreasing	decrease	VERB
ejpam-3519	84	17	from	from	ADP
ejpam-3519	84	18	∞	∞	NUM
ejpam-3519	84	19	to	to	ADP
ejpam-3519	84	20	1	1	NUM
ejpam-3519	84	21	λ	λ	NOUN
ejpam-3519	84	22	.	.	PUNCT
ejpam-3519	85	1	d.	d.	PROPN
ejpam-3519	85	2	a.	a.	PROPN
ejpam-3519	85	3	n.	n.	PROPN
ejpam-3519	85	4	njamen	njamen	PROPN
ejpam-3519	85	5	,	,	PUNCT
ejpam-3519	85	6	h.	h.	PROPN
ejpam-3519	85	7	c.	c.	PROPN
ejpam-3519	85	8	yayebga	yayebga	PROPN
ejpam-3519	85	9	/	/	SYM
ejpam-3519	85	10	eur	eur	PROPN
ejpam-3519	85	11	.	.	PUNCT
ejpam-3519	86	1	j.	j.	PROPN
ejpam-3519	86	2	pure	pure	PROPN
ejpam-3519	86	3	appl	appl	PROPN
ejpam-3519	86	4	.	.	PROPN
ejpam-3519	86	5	math	math	PROPN
ejpam-3519	86	6	,	,	PUNCT
ejpam-3519	86	7	12	12	NUM
ejpam-3519	86	8	(	(	PUNCT
ejpam-3519	86	9	4	4	NUM
ejpam-3519	86	10	)	)	PUNCT
ejpam-3519	86	11	(	(	PUNCT
ejpam-3519	86	12	2019	2019	NUM
ejpam-3519	86	13	)	)	PUNCT
ejpam-3519	86	14	,	,	PUNCT
ejpam-3519	86	15	1612	1612	NUM
ejpam-3519	86	16	-	-	SYM
ejpam-3519	86	17	1642	1642	NUM
ejpam-3519	86	18	1616	1616	NUM
ejpam-3519	86	19	2.2.3	2.2.3	NUM
ejpam-3519	86	20	.	.	PUNCT
ejpam-3519	87	1	risk	risk	NOUN
ejpam-3519	87	2	in	in	ADP
ejpam-3519	87	3	∩	∩	ADJ
ejpam-3519	87	4	•	•	NUM
ejpam-3519	87	5	log	log	NOUN
ejpam-3519	87	6	-	-	PUNCT
ejpam-3519	87	7	normal	normal	ADJ
ejpam-3519	87	8	law	law	NOUN
ejpam-3519	87	9	ln(λ	ln(λ	PROPN
ejpam-3519	87	10	,	,	PUNCT
ejpam-3519	87	11	v	v	NOUN
ejpam-3519	87	12	)	)	PUNCT
ejpam-3519	87	13	the	the	DET
ejpam-3519	87	14	probability	probability	NOUN
ejpam-3519	87	15	density	density	NOUN
ejpam-3519	87	16	and	and	CCONJ
ejpam-3519	87	17	the	the	DET
ejpam-3519	87	18	risk	risk	NOUN
ejpam-3519	87	19	function	function	NOUN
ejpam-3519	87	20	are	be	AUX
ejpam-3519	87	21	respectively	respectively	ADV
ejpam-3519	87	22	defined	define	VERB
ejpam-3519	87	23	by	by	ADP
ejpam-3519	87	24	the	the	DET
ejpam-3519	87	25	lognormal	lognormal	ADJ
ejpam-3519	87	26	law	law	NOUN
ejpam-3519	87	27	ln(µ	ln(µ	VERB
ejpam-3519	87	28	,	,	PUNCT
ejpam-3519	87	29	σ	σ	PROPN
ejpam-3519	87	30	):	):	PUNCT
ejpam-3519	87	31	f(t	f(t	PROPN
ejpam-3519	87	32	,	,	PUNCT
ejpam-3519	87	33	µ	µ	NOUN
ejpam-3519	87	34	,	,	PUNCT
ejpam-3519	87	35	σ	σ	NOUN
ejpam-3519	87	36	)	)	PUNCT
ejpam-3519	87	37	=	=	SYM
ejpam-3519	88	1	1	1	NUM
ejpam-3519	88	2	σt	σt	ADP
ejpam-3519	88	3	ϕ	ϕ	X
ejpam-3519	88	4	(	(	PUNCT
ejpam-3519	88	5	lnt−	lnt−	PROPN
ejpam-3519	88	6	µ	µ	PROPN
ejpam-3519	88	7	σ	σ	PROPN
ejpam-3519	88	8	)	)	PUNCT
ejpam-3519	88	9	;	;	PUNCT
ejpam-3519	88	10	h(t	h(t	PROPN
ejpam-3519	88	11	,	,	PUNCT
ejpam-3519	88	12	µ	µ	NOUN
ejpam-3519	88	13	,	,	PUNCT
ejpam-3519	88	14	σ	σ	NOUN
ejpam-3519	88	15	)	)	PUNCT
ejpam-3519	88	16	=	=	PUNCT
ejpam-3519	89	1	f(t	f(t	NOUN
ejpam-3519	89	2	,	,	PUNCT
ejpam-3519	89	3	µ	µ	NOUN
ejpam-3519	89	4	,	,	PUNCT
ejpam-3519	89	5	σ	σ	NOUN
ejpam-3519	89	6	)	)	PUNCT
ejpam-3519	89	7	s(t	s(t	PROPN
ejpam-3519	89	8	,	,	PUNCT
ejpam-3519	89	9	µ	µ	NOUN
ejpam-3519	89	10	,	,	PUNCT
ejpam-3519	89	11	σ	σ	PROPN
ejpam-3519	89	12	)	)	PUNCT
ejpam-3519	89	13	.	.	PUNCT
ejpam-3519	90	1	remark	remark	NOUN
ejpam-3519	90	2	4	4	NUM
ejpam-3519	90	3	.	.	PUNCT
ejpam-3519	91	1	the	the	DET
ejpam-3519	91	2	risk	risk	NOUN
ejpam-3519	91	3	function	function	NOUN
ejpam-3519	91	4	h	h	NOUN
ejpam-3519	91	5	is	be	AUX
ejpam-3519	91	6	in	in	ADP
ejpam-3519	91	7	the	the	DET
ejpam-3519	91	8	form	form	NOUN
ejpam-3519	91	9	∩	∩	NOUN
ejpam-3519	91	10	:	:	PUNCT
ejpam-3519	91	11	it	it	PRON
ejpam-3519	91	12	increases	increase	VERB
ejpam-3519	91	13	from	from	ADP
ejpam-3519	91	14	0	0	NUM
ejpam-3519	91	15	to	to	ADP
ejpam-3519	91	16	its	its	PRON
ejpam-3519	91	17	maximum	maximum	ADJ
ejpam-3519	91	18	value	value	NOUN
ejpam-3519	91	19	and	and	CCONJ
ejpam-3519	91	20	then	then	ADV
ejpam-3519	91	21	decreases	decrease	VERB
ejpam-3519	91	22	to	to	ADP
ejpam-3519	91	23	0	0	NUM
ejpam-3519	91	24	.	.	NOUN
ejpam-3519	91	25	•	•	NUM
ejpam-3519	91	26	log	log	NOUN
ejpam-3519	91	27	-	-	PUNCT
ejpam-3519	91	28	logistic	logistic	NOUN
ejpam-3519	91	29	law	law	NOUN
ejpam-3519	91	30	ll(λ	ll(λ	PROPN
ejpam-3519	91	31	,	,	PUNCT
ejpam-3519	91	32	v	v	NOUN
ejpam-3519	91	33	)	)	PUNCT
ejpam-3519	91	34	the	the	DET
ejpam-3519	91	35	probability	probability	NOUN
ejpam-3519	91	36	density	density	NOUN
ejpam-3519	91	37	and	and	CCONJ
ejpam-3519	91	38	the	the	DET
ejpam-3519	91	39	risk	risk	NOUN
ejpam-3519	91	40	function	function	NOUN
ejpam-3519	91	41	are	be	AUX
ejpam-3519	91	42	defined	define	VERB
ejpam-3519	91	43	respectively	respectively	ADV
ejpam-3519	91	44	by	by	ADP
ejpam-3519	91	45	the	the	DET
ejpam-3519	91	46	loglogistic	loglogistic	ADJ
ejpam-3519	91	47	law	law	NOUN
ejpam-3519	91	48	:	:	PUNCT
ejpam-3519	91	49	f(t	f(t	PROPN
ejpam-3519	91	50	,	,	PUNCT
ejpam-3519	91	51	λ	λ	NOUN
ejpam-3519	91	52	,	,	PUNCT
ejpam-3519	91	53	v	v	NOUN
ejpam-3519	91	54	)	)	PUNCT
ejpam-3519	91	55	=	=	SYM
ejpam-3519	92	1	(	(	PUNCT
ejpam-3519	92	2	λv)λtv−1	λv)λtv−1	X
ejpam-3519	92	3	(	(	PUNCT
ejpam-3519	92	4	1	1	NUM
ejpam-3519	92	5	+	+	CCONJ
ejpam-3519	92	6	(	(	PUNCT
ejpam-3519	92	7	λt)v)−2	λt)v)−2	NOUN
ejpam-3519	92	8	;	;	PUNCT
ejpam-3519	92	9	h(t	h(t	PROPN
ejpam-3519	92	10	,	,	PUNCT
ejpam-3519	92	11	λ	λ	PROPN
ejpam-3519	92	12	,	,	PUNCT
ejpam-3519	92	13	v	v	NOUN
ejpam-3519	92	14	)	)	PUNCT
ejpam-3519	92	15	=	=	SYM
ejpam-3519	92	16	(	(	PUNCT
ejpam-3519	92	17	λv)λtv−1	λv)λtv−1	X
ejpam-3519	92	18	(	(	PUNCT
ejpam-3519	92	19	1	1	NUM
ejpam-3519	92	20	+	+	CCONJ
ejpam-3519	92	21	(	(	PUNCT
ejpam-3519	92	22	λt)v)−1	λt)v)−1	NOUN
ejpam-3519	92	23	.	.	PUNCT
ejpam-3519	93	1	remark	remark	PROPN
ejpam-3519	93	2	5	5	NUM
ejpam-3519	93	3	.	.	PUNCT
ejpam-3519	94	1	the	the	DET
ejpam-3519	94	2	v	v	PROPN
ejpam-3519	94	3	parameter	parameter	NOUN
ejpam-3519	94	4	is	be	AUX
ejpam-3519	94	5	a	a	DET
ejpam-3519	94	6	form	form	NOUN
ejpam-3519	94	7	parameter	parameter	NOUN
ejpam-3519	94	8	of	of	ADP
ejpam-3519	94	9	h.	h.	PROPN
ejpam-3519	94	10	for	for	ADP
ejpam-3519	94	11	v	v	NOUN
ejpam-3519	94	12	>	>	SYM
ejpam-3519	94	13	1	1	NUM
ejpam-3519	94	14	,	,	PUNCT
ejpam-3519	94	15	the	the	DET
ejpam-3519	94	16	risk	risk	NOUN
ejpam-3519	94	17	function	function	NOUN
ejpam-3519	94	18	h	h	NOUN
ejpam-3519	94	19	increases	increase	VERB
ejpam-3519	94	20	from	from	ADP
ejpam-3519	94	21	0	0	NUM
ejpam-3519	94	22	to	to	ADP
ejpam-3519	94	23	its	its	PRON
ejpam-3519	94	24	maximum	maximum	ADJ
ejpam-3519	94	25	value	value	NOUN
ejpam-3519	94	26	and	and	CCONJ
ejpam-3519	94	27	then	then	ADV
ejpam-3519	94	28	decreases	decrease	VERB
ejpam-3519	94	29	to	to	ADP
ejpam-3519	94	30	0	0	NUM
ejpam-3519	94	31	.	.	NOUN
ejpam-3519	95	1	3	3	NUM
ejpam-3519	95	2	.	.	X
ejpam-3519	95	3	density	density	NOUN
ejpam-3519	95	4	function	function	PROPN
ejpam-3519	95	5	estimation	estimation	NOUN
ejpam-3519	95	6	3.1	3.1	NUM
ejpam-3519	95	7	.	.	PUNCT
ejpam-3519	95	8	kernel	kernel	PROPN
ejpam-3519	95	9	estimator	estimator	PROPN
ejpam-3519	95	10	:	:	PUNCT
ejpam-3519	95	11	case	case	NOUN
ejpam-3519	95	12	of	of	ADP
ejpam-3519	95	13	uncensored	uncensored	ADJ
ejpam-3519	95	14	data	datum	NOUN
ejpam-3519	95	15	the	the	DET
ejpam-3519	95	16	concepts	concept	NOUN
ejpam-3519	95	17	used	use	VERB
ejpam-3519	95	18	in	in	ADP
ejpam-3519	95	19	this	this	DET
ejpam-3519	95	20	section	section	NOUN
ejpam-3519	95	21	come	come	VERB
ejpam-3519	95	22	from	from	ADP
ejpam-3519	95	23	the	the	DET
ejpam-3519	95	24	following	follow	VERB
ejpam-3519	95	25	documents	document	NOUN
ejpam-3519	95	26	:	:	PUNCT
ejpam-3519	96	1	[	[	X
ejpam-3519	96	2	19	19	NUM
ejpam-3519	96	3	]	]	PUNCT
ejpam-3519	96	4	,	,	PUNCT
ejpam-3519	96	5	[	[	X
ejpam-3519	96	6	17	17	NUM
ejpam-3519	96	7	]	]	PUNCT
ejpam-3519	96	8	,	,	PUNCT
ejpam-3519	96	9	[	[	X
ejpam-3519	96	10	11	11	NUM
ejpam-3519	96	11	]	]	PUNCT
ejpam-3519	96	12	,	,	PUNCT
ejpam-3519	96	13	[	[	X
ejpam-3519	96	14	24	24	NUM
ejpam-3519	96	15	]	]	PUNCT
ejpam-3519	96	16	,	,	PUNCT
ejpam-3519	96	17	[	[	X
ejpam-3519	96	18	9	9	NUM
ejpam-3519	96	19	]	]	PUNCT
ejpam-3519	96	20	,	,	PUNCT
ejpam-3519	96	21	[	[	X
ejpam-3519	96	22	20	20	NUM
ejpam-3519	96	23	]	]	PUNCT
ejpam-3519	96	24	,	,	PUNCT
ejpam-3519	96	25	[	[	X
ejpam-3519	96	26	3	3	NUM
ejpam-3519	96	27	]	]	PUNCT
ejpam-3519	96	28	,	,	PUNCT
ejpam-3519	96	29	[	[	X
ejpam-3519	96	30	20	20	NUM
ejpam-3519	96	31	]	]	PUNCT
ejpam-3519	96	32	and	and	CCONJ
ejpam-3519	96	33	[	[	X
ejpam-3519	96	34	23	23	NUM
ejpam-3519	96	35	]	]	PUNCT
ejpam-3519	96	36	.	.	PUNCT
ejpam-3519	97	1	let	let	VERB
ejpam-3519	97	2	t1	t1	NOUN
ejpam-3519	97	3	,	,	PUNCT
ejpam-3519	97	4	t2	t2	NOUN
ejpam-3519	97	5	,	,	PUNCT
ejpam-3519	97	6	...	...	PUNCT
ejpam-3519	97	7	,	,	PUNCT
ejpam-3519	97	8	tn	tn	NOUN
ejpam-3519	97	9	distribution	distribution	NOUN
ejpam-3519	97	10	function	function	NOUN
ejpam-3519	97	11	survival	survival	NOUN
ejpam-3519	97	12	durations	duration	NOUN
ejpam-3519	97	13	f	f	PROPN
ejpam-3519	97	14	and	and	CCONJ
ejpam-3519	97	15	let	let	VERB
ejpam-3519	97	16	vx0	vx0	VERB
ejpam-3519	97	17	=]	=]	NOUN
ejpam-3519	97	18	t0−	t0−	PROPN
ejpam-3519	97	19	bn	bn	NOUN
ejpam-3519	97	20	2	2	NUM
ejpam-3519	97	21	,	,	PUNCT
ejpam-3519	97	22	t0	t0	PROPN
ejpam-3519	97	23	+	+	NOUN
ejpam-3519	97	24	bn	bn	NUM
ejpam-3519	97	25	2	2	NUM
ejpam-3519	97	26	[	[	PUNCT
ejpam-3519	97	27	a	a	DET
ejpam-3519	97	28	neighborhood	neighborhood	NOUN
ejpam-3519	97	29	of	of	ADP
ejpam-3519	97	30	t0	t0	PROPN
ejpam-3519	97	31	,	,	PUNCT
ejpam-3519	97	32	where	where	SCONJ
ejpam-3519	97	33	(	(	PUNCT
ejpam-3519	97	34	bn)n≥0	bn)n≥0	PROPN
ejpam-3519	97	35	is	be	AUX
ejpam-3519	97	36	a	a	DET
ejpam-3519	97	37	sequence	sequence	NOUN
ejpam-3519	97	38	of	of	ADP
ejpam-3519	97	39	positive	positive	ADJ
ejpam-3519	97	40	parameters	parameter	NOUN
ejpam-3519	97	41	called	call	VERB
ejpam-3519	97	42	window	window	NOUN
ejpam-3519	97	43	.	.	PUNCT
ejpam-3519	98	1	an	an	DET
ejpam-3519	98	2	estimator	estimator	NOUN
ejpam-3519	98	3	of	of	ADP
ejpam-3519	98	4	the	the	DET
ejpam-3519	98	5	density	density	NOUN
ejpam-3519	98	6	f	f	PROPN
ejpam-3519	98	7	at	at	ADP
ejpam-3519	98	8	the	the	DET
ejpam-3519	98	9	point	point	NOUN
ejpam-3519	98	10	t0	t0	PROPN
ejpam-3519	98	11	is	be	AUX
ejpam-3519	98	12	given	give	VERB
ejpam-3519	98	13	by	by	ADP
ejpam-3519	98	14	:	:	PUNCT
ejpam-3519	98	15	fn(t0	fn(t0	NOUN
ejpam-3519	98	16	)	)	PUNCT
ejpam-3519	98	17	=	=	SYM
ejpam-3519	98	18	fn(t0	fn(t0	NOUN
ejpam-3519	99	1	+	+	CCONJ
ejpam-3519	99	2	bn	bn	NUM
ejpam-3519	99	3	2	2	NUM
ejpam-3519	99	4	)	)	PUNCT
ejpam-3519	99	5	−	−	PROPN
ejpam-3519	100	1	fn(t0	fn(t0	NOUN
ejpam-3519	100	2	−	−	PROPN
ejpam-3519	100	3	bn	bn	NOUN
ejpam-3519	100	4	2	2	NUM
ejpam-3519	100	5	)	)	PUNCT
ejpam-3519	100	6	bn	bn	NOUN
ejpam-3519	100	7	=	=	NOUN
ejpam-3519	100	8	number	number	NOUN
ejpam-3519	100	9	of	of	ADP
ejpam-3519	100	10	events	event	NOUN
ejpam-3519	100	11	on	on	ADP
ejpam-3519	100	12	]	]	X
ejpam-3519	100	13	t0	t0	NOUN
ejpam-3519	100	14	−	−	PROPN
ejpam-3519	100	15	bn	bn	NOUN
ejpam-3519	100	16	2	2	NUM
ejpam-3519	100	17	,	,	PUNCT
ejpam-3519	100	18	t0	t0	PROPN
ejpam-3519	100	19	+	+	CCONJ
ejpam-3519	100	20	bn	bn	NUM
ejpam-3519	100	21	2	2	NUM
ejpam-3519	100	22	[	[	PUNCT
ejpam-3519	100	23	bn	bn	INTJ
ejpam-3519	100	24	,	,	PUNCT
ejpam-3519	100	25	where	where	SCONJ
ejpam-3519	100	26	fn	fn	NOUN
ejpam-3519	100	27	is	be	AUX
ejpam-3519	100	28	the	the	DET
ejpam-3519	100	29	empirical	empirical	ADJ
ejpam-3519	100	30	distribution	distribution	NOUN
ejpam-3519	100	31	function	function	NOUN
ejpam-3519	100	32	.	.	PUNCT
ejpam-3519	101	1	we	we	PRON
ejpam-3519	101	2	can	can	AUX
ejpam-3519	101	3	also	also	ADV
ejpam-3519	101	4	write	write	VERB
ejpam-3519	101	5	it	it	PRON
ejpam-3519	101	6	in	in	ADP
ejpam-3519	101	7	the	the	DET
ejpam-3519	101	8	following	follow	VERB
ejpam-3519	101	9	form	form	NOUN
ejpam-3519	101	10	:	:	PUNCT
ejpam-3519	101	11	fn(t0	fn(t0	NOUN
ejpam-3519	101	12	)	)	PUNCT
ejpam-3519	101	13	=	=	SYM
ejpam-3519	101	14	1	1	NUM
ejpam-3519	101	15	nbn	nbn	NOUN
ejpam-3519	101	16	n∑	n∑	NOUN
ejpam-3519	101	17	i=1	i=1	PROPN
ejpam-3519	101	18	11]t0−	11]t0−	NUM
ejpam-3519	101	19	bn2	bn2	NOUN
ejpam-3519	101	20	,	,	PUNCT
ejpam-3519	101	21	t0	t0	PROPN
ejpam-3519	101	22	+	+	NOUN
ejpam-3519	101	23	bn	bn	NUM
ejpam-3519	101	24	2	2	NUM
ejpam-3519	101	25	[	[	X
ejpam-3519	101	26	(	(	PUNCT
ejpam-3519	101	27	ti	ti	NOUN
ejpam-3519	101	28	)	)	PUNCT
ejpam-3519	101	29	d.	d.	PROPN
ejpam-3519	101	30	a.	a.	PROPN
ejpam-3519	101	31	n.	n.	PROPN
ejpam-3519	101	32	njamen	njamen	PROPN
ejpam-3519	101	33	,	,	PUNCT
ejpam-3519	101	34	h.	h.	PROPN
ejpam-3519	101	35	c.	c.	PROPN
ejpam-3519	101	36	yayebga	yayebga	PROPN
ejpam-3519	101	37	/	/	SYM
ejpam-3519	101	38	eur	eur	PROPN
ejpam-3519	101	39	.	.	PUNCT
ejpam-3519	102	1	j.	j.	PROPN
ejpam-3519	102	2	pure	pure	PROPN
ejpam-3519	102	3	appl	appl	PROPN
ejpam-3519	102	4	.	.	PROPN
ejpam-3519	102	5	math	math	PROPN
ejpam-3519	102	6	,	,	PUNCT
ejpam-3519	102	7	12	12	NUM
ejpam-3519	102	8	(	(	PUNCT
ejpam-3519	102	9	4	4	NUM
ejpam-3519	102	10	)	)	PUNCT
ejpam-3519	102	11	(	(	PUNCT
ejpam-3519	102	12	2019	2019	NUM
ejpam-3519	102	13	)	)	PUNCT
ejpam-3519	102	14	,	,	PUNCT
ejpam-3519	102	15	1612	1612	NUM
ejpam-3519	102	16	-	-	SYM
ejpam-3519	102	17	1642	1642	NUM
ejpam-3519	102	18	1617	1617	NUM
ejpam-3519	102	19	=	=	SYM
ejpam-3519	102	20	1	1	NUM
ejpam-3519	102	21	nbn	nbn	NOUN
ejpam-3519	102	22	n∑	n∑	NOUN
ejpam-3519	102	23	i=1	i=1	PROPN
ejpam-3519	103	1	11]−	11]−	NUM
ejpam-3519	103	2	1	1	NUM
ejpam-3519	103	3	2	2	NUM
ejpam-3519	103	4	,	,	PUNCT
ejpam-3519	103	5	1	1	NUM
ejpam-3519	103	6	2	2	NUM
ejpam-3519	103	7	]	]	PUNCT
ejpam-3519	103	8	(	(	PUNCT
ejpam-3519	103	9	t0	t0	NOUN
ejpam-3519	103	10	−	−	ADP
ejpam-3519	103	11	ti	ti	NOUN
ejpam-3519	103	12	bn	bn	NOUN
ejpam-3519	103	13	)	)	PUNCT
ejpam-3519	103	14	.	.	PUNCT
ejpam-3519	104	1	this	this	DET
ejpam-3519	104	2	writing	writing	NOUN
ejpam-3519	104	3	shows	show	VERB
ejpam-3519	104	4	a	a	DET
ejpam-3519	104	5	function	function	NOUN
ejpam-3519	104	6	k	k	PROPN
ejpam-3519	104	7	called	call	VERB
ejpam-3519	104	8	kernel	kernel	PROPN
ejpam-3519	104	9	,	,	PUNCT
ejpam-3519	104	10	which	which	PRON
ejpam-3519	104	11	is	be	AUX
ejpam-3519	104	12	in	in	ADP
ejpam-3519	104	13	the	the	DET
ejpam-3519	104	14	form	form	NOUN
ejpam-3519	104	15	:	:	PUNCT
ejpam-3519	104	16	k	k	X
ejpam-3519	104	17	(	(	PUNCT
ejpam-3519	104	18	.	.	PUNCT
ejpam-3519	104	19	)	)	PUNCT
ejpam-3519	105	1	=	=	PUNCT
ejpam-3519	106	1	11]−	11]−	NUM
ejpam-3519	106	2	1	1	NUM
ejpam-3519	106	3	2	2	NUM
ejpam-3519	106	4	,	,	PUNCT
ejpam-3519	106	5	1	1	NUM
ejpam-3519	106	6	2	2	NUM
ejpam-3519	106	7	]	]	PUNCT
ejpam-3519	106	8	(	(	PUNCT
ejpam-3519	106	9	.	.	PUNCT
ejpam-3519	106	10	)	)	PUNCT
ejpam-3519	106	11	.	.	PUNCT
ejpam-3519	107	1	hence	hence	ADV
ejpam-3519	107	2	the	the	DET
ejpam-3519	107	3	definition	definition	NOUN
ejpam-3519	107	4	of	of	ADP
ejpam-3519	107	5	a	a	DET
ejpam-3519	107	6	kernel	kernel	PROPN
ejpam-3519	107	7	estimator	estimator	NOUN
ejpam-3519	107	8	of	of	ADP
ejpam-3519	107	9	f	f	PROPN
ejpam-3519	107	10	,	,	PUNCT
ejpam-3519	107	11	for	for	ADP
ejpam-3519	107	12	t	t	PROPN
ejpam-3519	107	13	∈	∈	PROPN
ejpam-3519	107	14	]	]	PUNCT
ejpam-3519	107	15	−1	−1	NOUN
ejpam-3519	107	16	2	2	NUM
ejpam-3519	107	17	,	,	PUNCT
ejpam-3519	107	18	1	1	NUM
ejpam-3519	107	19	2	2	NUM
ejpam-3519	107	20	]	]	PUNCT
ejpam-3519	107	21	:	:	PUNCT
ejpam-3519	107	22	f̂n(t	f̂n(t	PROPN
ejpam-3519	107	23	)	)	PUNCT
ejpam-3519	107	24	=	=	SYM
ejpam-3519	107	25	1	1	NUM
ejpam-3519	107	26	nbn	nbn	NOUN
ejpam-3519	107	27	n∑	n∑	NOUN
ejpam-3519	107	28	i=1	i=1	PROPN
ejpam-3519	108	1	k	k	X
ejpam-3519	108	2	(	(	PUNCT
ejpam-3519	108	3	t−	t−	X
ejpam-3519	108	4	ti	ti	NOUN
ejpam-3519	108	5	bn	bn	PROPN
ejpam-3519	108	6	)	)	PUNCT
ejpam-3519	108	7	,	,	PUNCT
ejpam-3519	108	8	(	(	PUNCT
ejpam-3519	108	9	5	5	X
ejpam-3519	108	10	)	)	PUNCT
ejpam-3519	108	11	where	where	SCONJ
ejpam-3519	108	12	the	the	DET
ejpam-3519	108	13	kernel	kernel	PROPN
ejpam-3519	108	14	k	k	PROPN
ejpam-3519	108	15	is	be	AUX
ejpam-3519	108	16	an	an	DET
ejpam-3519	108	17	application	application	NOUN
ejpam-3519	108	18	of	of	ADP
ejpam-3519	108	19	r	r	NOUN
ejpam-3519	108	20	on	on	ADP
ejpam-3519	108	21	r+	r+	NOUN
ejpam-3519	108	22	,	,	PUNCT
ejpam-3519	108	23	bounded	bound	VERB
ejpam-3519	108	24	,	,	PUNCT
ejpam-3519	108	25	of	of	ADP
ejpam-3519	108	26	integral	integral	ADJ
ejpam-3519	108	27	equal	equal	ADJ
ejpam-3519	108	28	to	to	ADP
ejpam-3519	108	29	1	1	NUM
ejpam-3519	108	30	,	,	PUNCT
ejpam-3519	108	31	symmetrical	symmetrical	ADJ
ejpam-3519	108	32	and	and	CCONJ
ejpam-3519	108	33	of	of	ADP
ejpam-3519	108	34	more	more	ADJ
ejpam-3519	108	35	bn	bn	NOUN
ejpam-3519	108	36	→	→	SYM
ejpam-3519	108	37	0	0	NUM
ejpam-3519	109	1	when	when	SCONJ
ejpam-3519	109	2	n→	n→	PROPN
ejpam-3519	109	3	+	+	PROPN
ejpam-3519	109	4	∞.	∞.	PROPN
ejpam-3519	109	5	3.1.1	3.1.1	NUM
ejpam-3519	109	6	.	.	PUNCT
ejpam-3519	110	1	examples	example	NOUN
ejpam-3519	110	2	of	of	ADP
ejpam-3519	110	3	kernels	kernel	NOUN
ejpam-3519	110	4	the	the	DET
ejpam-3519	110	5	various	various	ADJ
ejpam-3519	110	6	kernels	kernel	NOUN
ejpam-3519	110	7	most	most	ADV
ejpam-3519	110	8	used	use	VERB
ejpam-3519	110	9	in	in	ADP
ejpam-3519	110	10	estimating	estimate	VERB
ejpam-3519	110	11	the	the	DET
ejpam-3519	110	12	density	density	NOUN
ejpam-3519	110	13	are	be	AUX
ejpam-3519	110	14	:	:	PUNCT
ejpam-3519	110	15	•	•	NUM
ejpam-3519	110	16	gaussian	gaussian	ADJ
ejpam-3519	110	17	kernel	kernel	NOUN
ejpam-3519	110	18	∀u	∀u	NOUN
ejpam-3519	110	19	∈	∈	PROPN
ejpam-3519	110	20	r	r	NOUN
ejpam-3519	110	21	,	,	PUNCT
ejpam-3519	110	22	k(u	k(u	X
ejpam-3519	110	23	)	)	PUNCT
ejpam-3519	110	24	=	=	SYM
ejpam-3519	110	25	1√	1√	NUM
ejpam-3519	110	26	2π	2π	NOUN
ejpam-3519	110	27	e−	e−	PROPN
ejpam-3519	110	28	u2	u2	PROPN
ejpam-3519	110	29	2	2	NUM
ejpam-3519	110	30	(	(	PUNCT
ejpam-3519	110	31	6	6	NUM
ejpam-3519	110	32	)	)	PUNCT
ejpam-3519	110	33	•	•	NUM
ejpam-3519	110	34	uniform	uniform	ADJ
ejpam-3519	110	35	kernel	kernel	PROPN
ejpam-3519	110	36	∀u	∀u	PROPN
ejpam-3519	110	37	∈	∈	PROPN
ejpam-3519	110	38	r	r	NOUN
ejpam-3519	110	39	,	,	PUNCT
ejpam-3519	110	40	k(u	k(u	X
ejpam-3519	110	41	)	)	PUNCT
ejpam-3519	110	42	=	=	SYM
ejpam-3519	110	43	1	1	NUM
ejpam-3519	110	44	2	2	NUM
ejpam-3519	110	45	11|u|≤1	11|u|≤1	NUM
ejpam-3519	110	46	(	(	PUNCT
ejpam-3519	110	47	7	7	NUM
ejpam-3519	110	48	)	)	PUNCT
ejpam-3519	110	49	•	•	NOUN
ejpam-3519	110	50	epanechnikov	epanechnikov	PROPN
ejpam-3519	110	51	kernel	kernel	PROPN
ejpam-3519	110	52	∀u	∀u	PROPN
ejpam-3519	110	53	∈	∈	PROPN
ejpam-3519	110	54	r	r	NOUN
ejpam-3519	110	55	,	,	PUNCT
ejpam-3519	110	56	k(u	k(u	X
ejpam-3519	110	57	)	)	PUNCT
ejpam-3519	110	58	=	=	SYM
ejpam-3519	110	59	3	3	NUM
ejpam-3519	110	60	4	4	NUM
ejpam-3519	110	61	(	(	PUNCT
ejpam-3519	110	62	1−	1−	NUM
ejpam-3519	110	63	u2)11|u|≤1	u2)11|u|≤1	PROPN
ejpam-3519	110	64	(	(	PUNCT
ejpam-3519	110	65	8)	8)	NUM
ejpam-3519	110	66	•	•	NUM
ejpam-3519	110	67	triangular	triangular	NOUN
ejpam-3519	110	68	kernel	kernel	NOUN
ejpam-3519	110	69	∀u	∀u	NOUN
ejpam-3519	110	70	∈	∈	PROPN
ejpam-3519	110	71	r	r	NOUN
ejpam-3519	110	72	,	,	PUNCT
ejpam-3519	110	73	k(u	k(u	X
ejpam-3519	110	74	)	)	PUNCT
ejpam-3519	110	75	=	=	SYM
ejpam-3519	110	76	(	(	PUNCT
ejpam-3519	110	77	1−	1−	NUM
ejpam-3519	110	78	|u|)11|u|≤1	|u|)11|u|≤1	ADJ
ejpam-3519	110	79	(	(	PUNCT
ejpam-3519	110	80	9	9	NUM
ejpam-3519	110	81	)	)	PUNCT
ejpam-3519	110	82	•	•	NOUN
ejpam-3519	110	83	quadratic	quadratic	ADJ
ejpam-3519	110	84	kernel	kernel	NOUN
ejpam-3519	110	85	∀u	∀u	NOUN
ejpam-3519	110	86	∈	∈	PROPN
ejpam-3519	110	87	r	r	NOUN
ejpam-3519	110	88	,	,	PUNCT
ejpam-3519	110	89	k(u	k(u	X
ejpam-3519	110	90	)	)	PUNCT
ejpam-3519	110	91	=	=	SYM
ejpam-3519	110	92	15	15	NUM
ejpam-3519	110	93	16	16	NUM
ejpam-3519	110	94	(	(	PUNCT
ejpam-3519	110	95	1−	1−	NUM
ejpam-3519	110	96	u2)211|u|≤1	u2)211|u|≤1	NOUN
ejpam-3519	110	97	(	(	PUNCT
ejpam-3519	110	98	10	10	NUM
ejpam-3519	110	99	)	)	PUNCT
ejpam-3519	110	100	definition	definition	NOUN
ejpam-3519	110	101	4	4	NUM
ejpam-3519	110	102	.	.	PUNCT
ejpam-3519	111	1	a	a	DET
ejpam-3519	111	2	kernel	kernel	PROPN
ejpam-3519	111	3	k	k	PROPN
ejpam-3519	111	4	is	be	AUX
ejpam-3519	111	5	called	call	VERB
ejpam-3519	111	6	parzen	parzen	NOUN
ejpam-3519	111	7	-	-	PUNCT
ejpam-3519	111	8	rosemblatt	rosemblatt	NOUN
ejpam-3519	111	9	if	if	SCONJ
ejpam-3519	111	10	k	k	PROPN
ejpam-3519	111	11	is	be	AUX
ejpam-3519	111	12	symmetric	symmetric	ADJ
ejpam-3519	111	13	and	and	CCONJ
ejpam-3519	111	14	if	if	SCONJ
ejpam-3519	111	15	lim|u|→∞	lim|u|→∞	NOUN
ejpam-3519	111	16	|u|k(u	|u|k(u	NUM
ejpam-3519	111	17	)	)	PUNCT
ejpam-3519	111	18	=	=	SYM
ejpam-3519	112	1	0	0	X
ejpam-3519	112	2	.	.	PUNCT
ejpam-3519	113	1	if	if	SCONJ
ejpam-3519	113	2	we	we	PRON
ejpam-3519	113	3	consider	consider	VERB
ejpam-3519	113	4	kbn(y	kbn(y	PROPN
ejpam-3519	113	5	)	)	PUNCT
ejpam-3519	113	6	=	=	SYM
ejpam-3519	114	1	1	1	NUM
ejpam-3519	114	2	bn	bn	NUM
ejpam-3519	114	3	k	k	PROPN
ejpam-3519	114	4	(	(	PUNCT
ejpam-3519	114	5	ybn	ybn	PROPN
ejpam-3519	114	6	)	)	PUNCT
ejpam-3519	114	7	,	,	PUNCT
ejpam-3519	114	8	kernel	kernel	PROPN
ejpam-3519	114	9	estimator	estimator	PROPN
ejpam-3519	114	10	fn	fn	PROPN
ejpam-3519	114	11	is	be	AUX
ejpam-3519	114	12	written	write	VERB
ejpam-3519	114	13	:	:	PUNCT
ejpam-3519	114	14	fn(t	fn(t	X
ejpam-3519	114	15	)	)	PUNCT
ejpam-3519	115	1	=	=	PUNCT
ejpam-3519	115	2	∫	∫	PROPN
ejpam-3519	116	1	+	+	NUM
ejpam-3519	116	2	∞	∞	PROPN
ejpam-3519	116	3	−∞	−∞	ADP
ejpam-3519	116	4	kbn(t−	kbn(t−	PROPN
ejpam-3519	116	5	s)dµn(s	s)dµn(s	NOUN
ejpam-3519	116	6	)	)	PUNCT
ejpam-3519	116	7	=	=	PUNCT
ejpam-3519	116	8	(	(	PUNCT
ejpam-3519	116	9	kbn	kbn	ADV
ejpam-3519	116	10	∗	∗	NOUN
ejpam-3519	116	11	µn)(t	µn)(t	PROPN
ejpam-3519	116	12	)	)	PUNCT
ejpam-3519	116	13	,	,	PUNCT
ejpam-3519	116	14	where	where	SCONJ
ejpam-3519	116	15	µn	µn	PROPN
ejpam-3519	116	16	=	=	SYM
ejpam-3519	116	17	1	1	NUM
ejpam-3519	116	18	n	n	NOUN
ejpam-3519	116	19	∑n	∑n	PROPN
ejpam-3519	116	20	i=1	i=1	PROPN
ejpam-3519	116	21	δti	δti	PROPN
ejpam-3519	116	22	.	.	PUNCT
ejpam-3519	117	1	d.	d.	PROPN
ejpam-3519	117	2	a.	a.	PROPN
ejpam-3519	117	3	n.	n.	PROPN
ejpam-3519	117	4	njamen	njamen	PROPN
ejpam-3519	117	5	,	,	PUNCT
ejpam-3519	117	6	h.	h.	PROPN
ejpam-3519	117	7	c.	c.	PROPN
ejpam-3519	117	8	yayebga	yayebga	PROPN
ejpam-3519	117	9	/	/	SYM
ejpam-3519	117	10	eur	eur	PROPN
ejpam-3519	117	11	.	.	PUNCT
ejpam-3519	118	1	j.	j.	PROPN
ejpam-3519	118	2	pure	pure	PROPN
ejpam-3519	118	3	appl	appl	PROPN
ejpam-3519	118	4	.	.	PROPN
ejpam-3519	118	5	math	math	PROPN
ejpam-3519	118	6	,	,	PUNCT
ejpam-3519	118	7	12	12	NUM
ejpam-3519	118	8	(	(	PUNCT
ejpam-3519	118	9	4	4	NUM
ejpam-3519	118	10	)	)	PUNCT
ejpam-3519	118	11	(	(	PUNCT
ejpam-3519	118	12	2019	2019	NUM
ejpam-3519	118	13	)	)	PUNCT
ejpam-3519	118	14	,	,	PUNCT
ejpam-3519	118	15	1612	1612	NUM
ejpam-3519	118	16	-	-	SYM
ejpam-3519	118	17	1642	1642	NUM
ejpam-3519	118	18	1618	1618	NUM
ejpam-3519	118	19	3.1.2	3.1.2	NUM
ejpam-3519	118	20	.	.	PUNCT
ejpam-3519	119	1	optimal	optimal	ADJ
ejpam-3519	119	2	choices	choice	NOUN
ejpam-3519	119	3	of	of	ADP
ejpam-3519	119	4	kernel	kernel	PROPN
ejpam-3519	119	5	k	k	PROPN
ejpam-3519	119	6	and	and	CCONJ
ejpam-3519	119	7	window	window	NOUN
ejpam-3519	119	8	bn	bn	INTJ
ejpam-3519	119	9	the	the	DET
ejpam-3519	119	10	convergence	convergence	NOUN
ejpam-3519	119	11	results	result	NOUN
ejpam-3519	119	12	of	of	ADP
ejpam-3519	119	13	the	the	DET
ejpam-3519	119	14	kernel	kernel	PROPN
ejpam-3519	119	15	estimator	estimator	NOUN
ejpam-3519	119	16	fn	fn	PROPN
ejpam-3519	119	17	require	require	NOUN
ejpam-3519	119	18	conditions	condition	NOUN
ejpam-3519	119	19	on	on	ADP
ejpam-3519	119	20	k	k	PROPN
ejpam-3519	119	21	and	and	CCONJ
ejpam-3519	119	22	bn	bn	CCONJ
ejpam-3519	119	23	,	,	PUNCT
ejpam-3519	119	24	from	from	ADP
ejpam-3519	119	25	which	which	PRON
ejpam-3519	119	26	the	the	DET
ejpam-3519	119	27	problem	problem	NOUN
ejpam-3519	119	28	of	of	ADP
ejpam-3519	119	29	the	the	DET
ejpam-3519	119	30	optimal	optimal	ADJ
ejpam-3519	119	31	choice	choice	NOUN
ejpam-3519	119	32	of	of	ADP
ejpam-3519	119	33	(	(	PUNCT
ejpam-3519	119	34	k	k	NOUN
ejpam-3519	119	35	,	,	PUNCT
ejpam-3519	119	36	bn	bn	NOUN
ejpam-3519	119	37	)	)	PUNCT
ejpam-3519	119	38	.	.	PUNCT
ejpam-3519	120	1	we	we	PRON
ejpam-3519	120	2	pose	pose	VERB
ejpam-3519	120	3	:	:	PUNCT
ejpam-3519	120	4	∆n(t	∆n(t	NUM
ejpam-3519	120	5	)	)	PUNCT
ejpam-3519	120	6	=	=	PUNCT
ejpam-3519	121	1	e	e	X
ejpam-3519	121	2	[	[	X
ejpam-3519	121	3	fn(t)−	fn(t)−	PROPN
ejpam-3519	121	4	f(t)]2	f(t)]2	NOUN
ejpam-3519	121	5	=	=	SYM
ejpam-3519	121	6	e	e	PROPN
ejpam-3519	122	1	[	[	X
ejpam-3519	122	2	fn(t)−	fn(t)−	PROPN
ejpam-3519	122	3	efn(t	efn(t	ADV
ejpam-3519	122	4	)	)	PUNCT
ejpam-3519	123	1	+	+	CCONJ
ejpam-3519	123	2	efn(t)−	efn(t)−	PROPN
ejpam-3519	123	3	f(t)]2	f(t)]2	NOUN
ejpam-3519	123	4	=	=	PUNCT
ejpam-3519	124	1	[	[	X
ejpam-3519	124	2	efn(t)−	efn(t)−	PROPN
ejpam-3519	124	3	f(t)]2	f(t)]2	NOUN
ejpam-3519	124	4	+	+	CCONJ
ejpam-3519	124	5	e	e	X
ejpam-3519	125	1	[	[	X
ejpam-3519	125	2	fn(t)−	fn(t)−	PROPN
ejpam-3519	125	3	efn(t)]2	efn(t)]2	PUNCT
ejpam-3519	125	4	.	.	PUNCT
ejpam-3519	126	1	it	it	PRON
ejpam-3519	126	2	is	be	AUX
ejpam-3519	126	3	assumed	assume	VERB
ejpam-3519	126	4	that	that	SCONJ
ejpam-3519	126	5	the	the	DET
ejpam-3519	126	6	kernel	kernel	PROPN
ejpam-3519	126	7	support	support	NOUN
ejpam-3519	126	8	k	k	PROPN
ejpam-3519	126	9	is	be	AUX
ejpam-3519	126	10	[	[	X
ejpam-3519	126	11	−1	−1	NOUN
ejpam-3519	126	12	,	,	PUNCT
ejpam-3519	126	13	1	1	NUM
ejpam-3519	126	14	]	]	PUNCT
ejpam-3519	126	15	.	.	PUNCT
ejpam-3519	127	1	the	the	DET
ejpam-3519	127	2	following	follow	VERB
ejpam-3519	127	3	theorem	theorem	NOUN
ejpam-3519	127	4	gives	give	VERB
ejpam-3519	127	5	the	the	DET
ejpam-3519	127	6	asymptotic	asymptotic	ADJ
ejpam-3519	127	7	behavior	behavior	NOUN
ejpam-3519	127	8	of	of	ADP
ejpam-3519	127	9	the	the	DET
ejpam-3519	127	10	bias	bias	NOUN
ejpam-3519	127	11	and	and	CCONJ
ejpam-3519	127	12	the	the	DET
ejpam-3519	127	13	variance	variance	NOUN
ejpam-3519	127	14	of	of	ADP
ejpam-3519	127	15	the	the	DET
ejpam-3519	127	16	estimator	estimator	NOUN
ejpam-3519	127	17	fn	fn	PROPN
ejpam-3519	127	18	.	.	PUNCT
ejpam-3519	128	1	theorem	theorem	NOUN
ejpam-3519	128	2	1	1	NUM
ejpam-3519	128	3	.	.	PUNCT
ejpam-3519	129	1	(	(	PUNCT
ejpam-3519	129	2	[	[	X
ejpam-3519	129	3	3	3	NUM
ejpam-3519	129	4	]	]	PUNCT
ejpam-3519	129	5	)	)	PUNCT
ejpam-3519	129	6	if	if	SCONJ
ejpam-3519	129	7	f	f	PROPN
ejpam-3519	129	8	is	be	AUX
ejpam-3519	129	9	of	of	ADP
ejpam-3519	129	10	class	class	NOUN
ejpam-3519	129	11	c2	c2	PROPN
ejpam-3519	129	12	and	and	CCONJ
ejpam-3519	129	13	k	k	PROPN
ejpam-3519	129	14	is	be	AUX
ejpam-3519	129	15	a	a	DET
ejpam-3519	129	16	kernel	kernel	NOUN
ejpam-3519	129	17	of	of	ADP
ejpam-3519	129	18	parzen	parzen	NOUN
ejpam-3519	129	19	-	-	PUNCT
ejpam-3519	129	20	rosemblatt	rosemblatt	NOUN
ejpam-3519	129	21	.	.	PUNCT
ejpam-3519	130	1	so	so	ADV
ejpam-3519	130	2	if	if	SCONJ
ejpam-3519	130	3	bn	bn	NUM
ejpam-3519	130	4	→	→	SYM
ejpam-3519	130	5	0	0	NUM
ejpam-3519	130	6	and	and	CCONJ
ejpam-3519	130	7	nbn	nbn	PROPN
ejpam-3519	130	8	→	→	SYM
ejpam-3519	130	9	∞	∞	PROPN
ejpam-3519	130	10	,	,	PUNCT
ejpam-3519	130	11	we	we	PRON
ejpam-3519	130	12	have	have	VERB
ejpam-3519	130	13	:	:	PUNCT
ejpam-3519	130	14	•	•	NUM
ejpam-3519	130	15	bias(fn(x	bias(fn(x	X
ejpam-3519	130	16	)	)	PUNCT
ejpam-3519	130	17	)	)	PUNCT
ejpam-3519	131	1	=	=	PUNCT
ejpam-3519	131	2	b2n	b2n	VERB
ejpam-3519	131	3	2	2	NUM
ejpam-3519	131	4	f	f	X
ejpam-3519	131	5	′′	′′	PROPN
ejpam-3519	131	6	(	(	PUNCT
ejpam-3519	131	7	x	x	X
ejpam-3519	131	8	)	)	PUNCT
ejpam-3519	131	9	∫	∫	PROPN
ejpam-3519	131	10	r	r	NOUN
ejpam-3519	131	11	t2k(t)dt+o(b2n	t2k(t)dt+o(b2n	PROPN
ejpam-3519	131	12	)	)	PUNCT
ejpam-3519	131	13	.	.	PUNCT
ejpam-3519	132	1	(	(	PUNCT
ejpam-3519	132	2	11	11	NUM
ejpam-3519	132	3	)	)	PUNCT
ejpam-3519	132	4	•	•	NUM
ejpam-3519	132	5	var(fn(x	var(fn(x	PROPN
ejpam-3519	132	6	)	)	PUNCT
ejpam-3519	132	7	)	)	PUNCT
ejpam-3519	133	1	=	=	SYM
ejpam-3519	133	2	1	1	NUM
ejpam-3519	133	3	nbn	nbn	NOUN
ejpam-3519	133	4	f(x	f(x	PROPN
ejpam-3519	133	5	)	)	PUNCT
ejpam-3519	133	6	∫	∫	PROPN
ejpam-3519	134	1	r	r	NOUN
ejpam-3519	134	2	k2(t)dt+o	k2(t)dt+o	NOUN
ejpam-3519	134	3	(	(	PUNCT
ejpam-3519	134	4	1	1	NUM
ejpam-3519	134	5	nbn	nbn	NOUN
ejpam-3519	134	6	)	)	PUNCT
ejpam-3519	134	7	.	.	PUNCT
ejpam-3519	135	1	(	(	PUNCT
ejpam-3519	135	2	12	12	NUM
ejpam-3519	135	3	)	)	PUNCT
ejpam-3519	135	4	the	the	DET
ejpam-3519	135	5	choice	choice	NOUN
ejpam-3519	135	6	of	of	ADP
ejpam-3519	135	7	the	the	DET
ejpam-3519	135	8	optimal	optimal	ADJ
ejpam-3519	135	9	window	window	NOUN
ejpam-3519	135	10	b∗n	b∗n	NUM
ejpam-3519	135	11	is	be	AUX
ejpam-3519	135	12	done	do	VERB
ejpam-3519	135	13	if	if	SCONJ
ejpam-3519	135	14	the	the	DET
ejpam-3519	135	15	kernel	kernel	PROPN
ejpam-3519	135	16	k	k	PROPN
ejpam-3519	135	17	is	be	AUX
ejpam-3519	135	18	given	give	VERB
ejpam-3519	135	19	.	.	PUNCT
ejpam-3519	136	1	the	the	DET
ejpam-3519	136	2	smoothing	smooth	VERB
ejpam-3519	136	3	parameter	parameter	NOUN
ejpam-3519	136	4	bn	bn	PROPN
ejpam-3519	136	5	is	be	AUX
ejpam-3519	136	6	a	a	DET
ejpam-3519	136	7	positive	positive	ADJ
ejpam-3519	136	8	real	real	NOUN
ejpam-3519	136	9	whose	whose	DET
ejpam-3519	136	10	choice	choice	NOUN
ejpam-3519	136	11	is	be	AUX
ejpam-3519	136	12	preponderant	preponderant	ADJ
ejpam-3519	136	13	over	over	ADP
ejpam-3519	136	14	that	that	PRON
ejpam-3519	136	15	of	of	ADP
ejpam-3519	136	16	the	the	DET
ejpam-3519	136	17	symmetrical	symmetrical	ADJ
ejpam-3519	136	18	continuous	continuous	ADJ
ejpam-3519	136	19	kernel	kernel	NOUN
ejpam-3519	136	20	k.	k.	PROPN
ejpam-3519	136	21	choosing	choose	VERB
ejpam-3519	136	22	a	a	DET
ejpam-3519	136	23	value	value	NOUN
ejpam-3519	136	24	of	of	ADP
ejpam-3519	136	25	bn	bn	ADV
ejpam-3519	136	26	too	too	ADV
ejpam-3519	136	27	big	big	ADJ
ejpam-3519	136	28	leads	lead	NOUN
ejpam-3519	136	29	to	to	ADP
ejpam-3519	136	30	a	a	DET
ejpam-3519	136	31	curve	curve	NOUN
ejpam-3519	136	32	that	that	PRON
ejpam-3519	136	33	is	be	AUX
ejpam-3519	136	34	too	too	ADV
ejpam-3519	136	35	smooth	smooth	ADJ
ejpam-3519	136	36	.	.	PUNCT
ejpam-3519	137	1	on	on	ADP
ejpam-3519	137	2	the	the	DET
ejpam-3519	137	3	other	other	ADJ
ejpam-3519	137	4	hand	hand	NOUN
ejpam-3519	137	5	,	,	PUNCT
ejpam-3519	137	6	by	by	ADP
ejpam-3519	137	7	choosing	choose	VERB
ejpam-3519	137	8	a	a	DET
ejpam-3519	137	9	very	very	ADV
ejpam-3519	137	10	small	small	ADJ
ejpam-3519	137	11	smoothing	smoothing	NOUN
ejpam-3519	137	12	parameter	parameter	NOUN
ejpam-3519	137	13	than	than	ADP
ejpam-3519	137	14	the	the	DET
ejpam-3519	137	15	one	one	NOUN
ejpam-3519	137	16	previously	previously	ADV
ejpam-3519	137	17	adopted	adopt	VERB
ejpam-3519	137	18	,	,	PUNCT
ejpam-3519	137	19	the	the	DET
ejpam-3519	137	20	shape	shape	NOUN
ejpam-3519	137	21	of	of	ADP
ejpam-3519	137	22	the	the	DET
ejpam-3519	137	23	distribution	distribution	NOUN
ejpam-3519	137	24	changes	change	NOUN
ejpam-3519	137	25	.	.	PUNCT
ejpam-3519	138	1	theorem	theorem	NOUN
ejpam-3519	138	2	2	2	NUM
ejpam-3519	138	3	.	.	PUNCT
ejpam-3519	139	1	(	(	PUNCT
ejpam-3519	139	2	[	[	X
ejpam-3519	139	3	3	3	NUM
ejpam-3519	139	4	]	]	PUNCT
ejpam-3519	139	5	)	)	PUNCT
ejpam-3519	139	6	under	under	ADP
ejpam-3519	139	7	the	the	DET
ejpam-3519	139	8	conditions	condition	NOUN
ejpam-3519	139	9	of	of	ADP
ejpam-3519	139	10	the	the	DET
ejpam-3519	139	11	theorem	theorem	NOUN
ejpam-3519	139	12	1	1	NUM
ejpam-3519	139	13	,	,	PUNCT
ejpam-3519	139	14	the	the	DET
ejpam-3519	139	15	optimal	optimal	ADJ
ejpam-3519	139	16	window	window	NOUN
ejpam-3519	139	17	is	be	AUX
ejpam-3519	139	18	:	:	PUNCT
ejpam-3519	139	19	b∗n	b∗n	NUM
ejpam-3519	139	20	=	=	SYM
ejpam-3519	139	21	(	(	PUNCT
ejpam-3519	139	22	f(t	f(t	PROPN
ejpam-3519	139	23	)	)	PUNCT
ejpam-3519	139	24	f	f	NOUN
ejpam-3519	139	25	′′2(t	′′2(t	NOUN
ejpam-3519	139	26	)	)	PUNCT
ejpam-3519	140	1	[	[	X
ejpam-3519	140	2	∫	∫	X
ejpam-3519	140	3	u2k(u)du	u2k(u)du	X
ejpam-3519	140	4	]	]	X
ejpam-3519	140	5	2	2	NUM
ejpam-3519	140	6	∫	∫	NOUN
ejpam-3519	140	7	1	1	NUM
ejpam-3519	140	8	−1	−1	NOUN
ejpam-3519	140	9	k2(u)du	k2(u)du	PROPN
ejpam-3519	140	10	)	)	PUNCT
ejpam-3519	140	11	1	1	NUM
ejpam-3519	140	12	5	5	NUM
ejpam-3519	140	13	n−	n−	NOUN
ejpam-3519	140	14	1	1	NUM
ejpam-3519	140	15	5	5	NUM
ejpam-3519	140	16	.	.	PUNCT
ejpam-3519	141	1	(	(	PUNCT
ejpam-3519	141	2	13	13	NUM
ejpam-3519	141	3	)	)	PUNCT
ejpam-3519	141	4	3.2	3.2	NUM
ejpam-3519	141	5	.	.	PUNCT
ejpam-3519	142	1	kernel	kernel	PROPN
ejpam-3519	142	2	estimator	estimator	PROPN
ejpam-3519	142	3	:	:	PUNCT
ejpam-3519	142	4	case	case	NOUN
ejpam-3519	142	5	of	of	ADP
ejpam-3519	142	6	censored	censored	ADJ
ejpam-3519	142	7	data	datum	NOUN
ejpam-3519	142	8	the	the	DET
ejpam-3519	142	9	purpose	purpose	NOUN
ejpam-3519	142	10	of	of	ADP
ejpam-3519	142	11	this	this	DET
ejpam-3519	142	12	subsection	subsection	NOUN
ejpam-3519	142	13	is	be	AUX
ejpam-3519	142	14	to	to	PART
ejpam-3519	142	15	estimate	estimate	VERB
ejpam-3519	142	16	the	the	DET
ejpam-3519	142	17	density	density	NOUN
ejpam-3519	142	18	of	of	ADP
ejpam-3519	142	19	survival	survival	NOUN
ejpam-3519	142	20	times	times	PROPN
ejpam-3519	142	21	t	t	PROPN
ejpam-3519	142	22	in	in	ADP
ejpam-3519	142	23	the	the	DET
ejpam-3519	142	24	context	context	NOUN
ejpam-3519	142	25	of	of	ADP
ejpam-3519	142	26	censored	censored	ADJ
ejpam-3519	142	27	data	datum	NOUN
ejpam-3519	142	28	.	.	PUNCT
ejpam-3519	143	1	let	let	VERB
ejpam-3519	143	2	t1	t1	NOUN
ejpam-3519	143	3	,	,	PUNCT
ejpam-3519	143	4	t2	t2	NOUN
ejpam-3519	143	5	,	,	PUNCT
ejpam-3519	143	6	...	...	PUNCT
ejpam-3519	143	7	,	,	PUNCT
ejpam-3519	143	8	tn	tn	PROPN
ejpam-3519	143	9	be	be	VERB
ejpam-3519	143	10	a	a	DET
ejpam-3519	143	11	sequence	sequence	NOUN
ejpam-3519	143	12	of	of	ADP
ejpam-3519	143	13	positive	positive	ADJ
ejpam-3519	143	14	random	random	ADJ
ejpam-3519	143	15	variables	variable	NOUN
ejpam-3519	143	16	i.i.d	i.i.d	ADP
ejpam-3519	143	17	of	of	ADP
ejpam-3519	143	18	distribution	distribution	NOUN
ejpam-3519	143	19	function	function	NOUN
ejpam-3519	143	20	f	f	PROPN
ejpam-3519	143	21	representing	represent	VERB
ejpam-3519	143	22	survival	survival	PROPN
ejpam-3519	143	23	times	time	NOUN
ejpam-3519	143	24	and	and	CCONJ
ejpam-3519	143	25	c1	c1	PROPN
ejpam-3519	143	26	,	,	PUNCT
ejpam-3519	143	27	c2	c2	PROPN
ejpam-3519	143	28	,	,	PUNCT
ejpam-3519	143	29	...	...	PUNCT
ejpam-3519	143	30	,	,	PUNCT
ejpam-3519	143	31	cn	cn	PROPN
ejpam-3519	143	32	is	be	AUX
ejpam-3519	143	33	the	the	DET
ejpam-3519	143	34	sequence	sequence	NOUN
ejpam-3519	143	35	of	of	ADP
ejpam-3519	143	36	random	random	ADJ
ejpam-3519	143	37	variables	variable	NOUN
ejpam-3519	143	38	i.i.d	i.i.d	ADV
ejpam-3519	143	39	representing	represent	VERB
ejpam-3519	143	40	censoring	censor	VERB
ejpam-3519	143	41	,	,	PUNCT
ejpam-3519	143	42	of	of	ADP
ejpam-3519	143	43	distribution	distribution	NOUN
ejpam-3519	143	44	function	function	NOUN
ejpam-3519	143	45	g.	g.	NOUN
ejpam-3519	144	1	we	we	PRON
ejpam-3519	144	2	assume	assume	VERB
ejpam-3519	144	3	that	that	SCONJ
ejpam-3519	144	4	the	the	DET
ejpam-3519	144	5	sequence	sequence	NOUN
ejpam-3519	144	6	(	(	PUNCT
ejpam-3519	144	7	ti	ti	NOUN
ejpam-3519	144	8	)	)	PUNCT
ejpam-3519	144	9	is	be	AUX
ejpam-3519	144	10	independent	independent	ADJ
ejpam-3519	144	11	of	of	ADP
ejpam-3519	144	12	the	the	DET
ejpam-3519	144	13	sequence	sequence	NOUN
ejpam-3519	144	14	(	(	PUNCT
ejpam-3519	144	15	ci	ci	NOUN
ejpam-3519	144	16	)	)	PUNCT
ejpam-3519	144	17	and	and	CCONJ
ejpam-3519	144	18	we	we	PRON
ejpam-3519	144	19	observe	observe	VERB
ejpam-3519	144	20	:	:	PUNCT
ejpam-3519	144	21	xi	xi	X
ejpam-3519	144	22	=	=	SYM
ejpam-3519	144	23	ti∧ci	ti∧ci	PROPN
ejpam-3519	144	24	,	,	PUNCT
ejpam-3519	144	25	di	di	X
ejpam-3519	144	26	=	=	SYM
ejpam-3519	144	27	11{ti≤ci	11{ti≤ci	NUM
ejpam-3519	144	28	}	}	PUNCT
ejpam-3519	144	29	,	,	PUNCT
ejpam-3519	144	30	i	i	PRON
ejpam-3519	144	31	=	=	NOUN
ejpam-3519	144	32	1	1	NUM
ejpam-3519	144	33	,	,	PUNCT
ejpam-3519	144	34	...	...	PUNCT
ejpam-3519	144	35	,	,	PUNCT
ejpam-3519	144	36	n.	n.	PROPN
ejpam-3519	144	37	d.	d.	PROPN
ejpam-3519	144	38	a.	a.	PROPN
ejpam-3519	144	39	n.	n.	PROPN
ejpam-3519	144	40	njamen	njamen	PROPN
ejpam-3519	144	41	,	,	PUNCT
ejpam-3519	144	42	h.	h.	PROPN
ejpam-3519	144	43	c.	c.	PROPN
ejpam-3519	144	44	yayebga	yayebga	PROPN
ejpam-3519	144	45	/	/	SYM
ejpam-3519	144	46	eur	eur	PROPN
ejpam-3519	144	47	.	.	PUNCT
ejpam-3519	145	1	j.	j.	PROPN
ejpam-3519	145	2	pure	pure	PROPN
ejpam-3519	145	3	appl	appl	PROPN
ejpam-3519	145	4	.	.	PROPN
ejpam-3519	145	5	math	math	PROPN
ejpam-3519	145	6	,	,	PUNCT
ejpam-3519	145	7	12	12	NUM
ejpam-3519	145	8	(	(	PUNCT
ejpam-3519	145	9	4	4	NUM
ejpam-3519	145	10	)	)	PUNCT
ejpam-3519	145	11	(	(	PUNCT
ejpam-3519	145	12	2019	2019	NUM
ejpam-3519	145	13	)	)	PUNCT
ejpam-3519	145	14	,	,	PUNCT
ejpam-3519	145	15	1612	1612	NUM
ejpam-3519	145	16	-	-	SYM
ejpam-3519	145	17	1642	1642	NUM
ejpam-3519	145	18	1619	1619	NUM
ejpam-3519	145	19	kaplan	kaplan	PROPN
ejpam-3519	145	20	-	-	PUNCT
ejpam-3519	145	21	meier	meier	PROPN
ejpam-3519	145	22	estimator	estimator	NOUN
ejpam-3519	146	1	[	[	X
ejpam-3519	146	2	6	6	NUM
ejpam-3519	146	3	]	]	PUNCT
ejpam-3519	146	4	of	of	ADP
ejpam-3519	146	5	the	the	DET
ejpam-3519	146	6	survival	survival	NOUN
ejpam-3519	146	7	function	function	NOUN
ejpam-3519	146	8	s	s	PART
ejpam-3519	146	9	is	be	AUX
ejpam-3519	146	10	given	give	VERB
ejpam-3519	146	11	by	by	ADP
ejpam-3519	146	12	:	:	PUNCT
ejpam-3519	146	13	ŝkm	ŝkm	PROPN
ejpam-3519	146	14	(	(	PUNCT
ejpam-3519	146	15	t	t	PROPN
ejpam-3519	146	16	)	)	PUNCT
ejpam-3519	146	17	=	=	SYM
ejpam-3519	146	18	∏	∏	NUM
ejpam-3519	146	19	t(i)≤t	t(i)≤t	NOUN
ejpam-3519	146	20	(	(	PUNCT
ejpam-3519	146	21	1−	1−	NUM
ejpam-3519	146	22	1	1	NUM
ejpam-3519	146	23	n−	n−	NOUN
ejpam-3519	146	24	i+	i+	NOUN
ejpam-3519	146	25	1	1	NUM
ejpam-3519	146	26	)	)	PUNCT
ejpam-3519	146	27	d(i	d(i	PROPN
ejpam-3519	146	28	)	)	PUNCT
ejpam-3519	146	29	.	.	PUNCT
ejpam-3519	147	1	(	(	PUNCT
ejpam-3519	147	2	14	14	NUM
ejpam-3519	147	3	)	)	PUNCT
ejpam-3519	147	4	it	it	PRON
ejpam-3519	147	5	can	can	AUX
ejpam-3519	147	6	also	also	ADV
ejpam-3519	147	7	be	be	AUX
ejpam-3519	147	8	written	write	VERB
ejpam-3519	147	9	in	in	ADP
ejpam-3519	147	10	the	the	DET
ejpam-3519	147	11	form	form	NOUN
ejpam-3519	147	12	:	:	PUNCT
ejpam-3519	147	13	ŝkm	ŝkm	X
ejpam-3519	147	14	(	(	PUNCT
ejpam-3519	147	15	t	t	PROPN
ejpam-3519	147	16	)	)	PUNCT
ejpam-3519	147	17	=	=	PRON
ejpam-3519	147	18	{	{	PUNCT
ejpam-3519	147	19	∏	∏	X
ejpam-3519	147	20	x(i)≤t	x(i)≤t	PROPN
ejpam-3519	147	21	(	(	PUNCT
ejpam-3519	147	22	1−	1−	NUM
ejpam-3519	147	23	d(i	d(i	PROPN
ejpam-3519	147	24	)	)	PUNCT
ejpam-3519	148	1	n−i+1	n−i+1	ADV
ejpam-3519	148	2	)	)	PUNCT
ejpam-3519	148	3	si	si	PROPN
ejpam-3519	148	4	t	t	NOUN
ejpam-3519	148	5	≤	≤	NUM
ejpam-3519	148	6	x(n	x(n	NOUN
ejpam-3519	148	7	)	)	PUNCT
ejpam-3519	148	8	1−	1−	NUM
ejpam-3519	148	9	f̂n(x(n	f̂n(x(n	NOUN
ejpam-3519	148	10	)	)	PUNCT
ejpam-3519	148	11	)	)	PUNCT
ejpam-3519	149	1	t	t	X
ejpam-3519	149	2	>	>	X
ejpam-3519	149	3	x(n	x(n	PROPN
ejpam-3519	149	4	)	)	PUNCT
ejpam-3519	149	5	,	,	PUNCT
ejpam-3519	149	6	where	where	SCONJ
ejpam-3519	149	7	x(1)<x(2)<	x(1)<x(2)<	PROPN
ejpam-3519	149	8	...	...	SYM
ejpam-3519	149	9	<x(n	<x(n	PROPN
ejpam-3519	149	10	)	)	PUNCT
ejpam-3519	149	11	is	be	AUX
ejpam-3519	149	12	the	the	DET
ejpam-3519	149	13	order	order	NOUN
ejpam-3519	149	14	statistic	statistic	NOUN
ejpam-3519	149	15	of	of	ADP
ejpam-3519	149	16	the	the	DET
ejpam-3519	149	17	sample	sample	NOUN
ejpam-3519	149	18	x1	x1	PROPN
ejpam-3519	149	19	,	,	PUNCT
ejpam-3519	149	20	x2	x2	PROPN
ejpam-3519	149	21	,	,	PUNCT
ejpam-3519	149	22	...	...	PUNCT
ejpam-3519	149	23	,	,	PUNCT
ejpam-3519	149	24	xn	xn	PROPN
ejpam-3519	149	25	and	and	CCONJ
ejpam-3519	149	26	d(i	d(i	PROPN
ejpam-3519	149	27	)	)	PUNCT
ejpam-3519	149	28	is	be	AUX
ejpam-3519	149	29	the	the	DET
ejpam-3519	149	30	value	value	NOUN
ejpam-3519	149	31	of	of	ADP
ejpam-3519	149	32	di	di	NOUN
ejpam-3519	149	33	(	(	PUNCT
ejpam-3519	149	34	the	the	DET
ejpam-3519	149	35	right	right	ADJ
ejpam-3519	149	36	censorship	censorship	NOUN
ejpam-3519	149	37	flag	flag	NOUN
ejpam-3519	149	38	)	)	PUNCT
ejpam-3519	149	39	associated	associate	VERB
ejpam-3519	149	40	with	with	ADP
ejpam-3519	149	41	x(i	x(i	PROPN
ejpam-3519	149	42	)	)	PUNCT
ejpam-3519	149	43	.	.	PUNCT
ejpam-3519	150	1	for	for	ADP
ejpam-3519	150	2	t	t	PROPN
ejpam-3519	150	3	>	>	X
ejpam-3519	150	4	x(n	x(n	NOUN
ejpam-3519	150	5	)	)	PUNCT
ejpam-3519	150	6	we	we	PRON
ejpam-3519	150	7	considered	consider	VERB
ejpam-3519	150	8	1−f̂n(t	1−f̂n(t	NUM
ejpam-3519	150	9	)	)	PUNCT
ejpam-3519	151	1	=	=	SYM
ejpam-3519	151	2	1−f̂n(x(n	1−f̂n(x(n	NUM
ejpam-3519	151	3	)	)	PUNCT
ejpam-3519	151	4	)	)	PUNCT
ejpam-3519	152	1	since	since	SCONJ
ejpam-3519	152	2	there	there	PRON
ejpam-3519	152	3	is	be	VERB
ejpam-3519	152	4	no	no	DET
ejpam-3519	152	5	more	more	ADJ
ejpam-3519	152	6	observations	observation	NOUN
ejpam-3519	152	7	after	after	SCONJ
ejpam-3519	152	8	t.	t.	PROPN
ejpam-3519	152	9	this	this	DET
ejpam-3519	152	10	estimator	estimator	NOUN
ejpam-3519	152	11	(	(	PUNCT
ejpam-3519	152	12	ŝkm	ŝkm	PROPN
ejpam-3519	152	13	(	(	PUNCT
ejpam-3519	152	14	t	t	PROPN
ejpam-3519	152	15	)	)	PUNCT
ejpam-3519	152	16	)	)	PUNCT
ejpam-3519	152	17	of	of	ADP
ejpam-3519	152	18	survival	survival	NOUN
ejpam-3519	152	19	function	function	NOUN
ejpam-3519	152	20	was	be	AUX
ejpam-3519	152	21	studied	study	VERB
ejpam-3519	152	22	by	by	ADP
ejpam-3519	152	23	[	[	PUNCT
ejpam-3519	152	24	13	13	NUM
ejpam-3519	152	25	]	]	PUNCT
ejpam-3519	152	26	,	,	PUNCT
ejpam-3519	152	27	[	[	X
ejpam-3519	152	28	14	14	NUM
ejpam-3519	152	29	]	]	PUNCT
ejpam-3519	152	30	,	,	PUNCT
ejpam-3519	152	31	[	[	X
ejpam-3519	152	32	15	15	NUM
ejpam-3519	152	33	]	]	PUNCT
ejpam-3519	152	34	in	in	ADP
ejpam-3519	152	35	the	the	DET
ejpam-3519	152	36	context	context	NOUN
ejpam-3519	152	37	of	of	ADP
ejpam-3519	152	38	competing	compete	VERB
ejpam-3519	152	39	risks	risk	NOUN
ejpam-3519	152	40	.	.	PUNCT
ejpam-3519	153	1	we	we	PRON
ejpam-3519	153	2	assume	assume	VERB
ejpam-3519	153	3	that	that	SCONJ
ejpam-3519	153	4	f	f	PROPN
ejpam-3519	153	5	admits	admit	VERB
ejpam-3519	153	6	a	a	DET
ejpam-3519	153	7	density	density	NOUN
ejpam-3519	153	8	f	f	PROPN
ejpam-3519	153	9	in	in	ADP
ejpam-3519	153	10	relation	relation	NOUN
ejpam-3519	153	11	to	to	PART
ejpam-3519	153	12	lebesgue	lebesgue	PROPN
ejpam-3519	153	13	’s	’s	PART
ejpam-3519	153	14	measure	measure	NOUN
ejpam-3519	153	15	proposes	propose	VERB
ejpam-3519	153	16	to	to	PART
ejpam-3519	153	17	estimate	estimate	VERB
ejpam-3519	153	18	using	use	VERB
ejpam-3519	153	19	the	the	DET
ejpam-3519	153	20	observations	observation	NOUN
ejpam-3519	153	21	(	(	PUNCT
ejpam-3519	153	22	xi	xi	PROPN
ejpam-3519	153	23	,	,	PUNCT
ejpam-3519	153	24	di	di	NOUN
ejpam-3519	153	25	)	)	PUNCT
ejpam-3519	153	26	,	,	PUNCT
ejpam-3519	153	27	i	i	PRON
ejpam-3519	153	28	=	=	NOUN
ejpam-3519	153	29	1	1	NUM
ejpam-3519	153	30	,	,	PUNCT
ejpam-3519	153	31	...	...	PUNCT
ejpam-3519	153	32	,	,	PUNCT
ejpam-3519	153	33	n.	n.	PROPN
ejpam-3519	153	34	based	base	VERB
ejpam-3519	153	35	on	on	ADP
ejpam-3519	153	36	the	the	DET
ejpam-3519	153	37	kaplan	kaplan	PROPN
ejpam-3519	153	38	-	-	PUNCT
ejpam-3519	153	39	meier	meier	PROPN
ejpam-3519	153	40	estimator	estimator	NOUN
ejpam-3519	153	41	,	,	PUNCT
ejpam-3519	153	42	[	[	X
ejpam-3519	153	43	2	2	NUM
ejpam-3519	153	44	]	]	PUNCT
ejpam-3519	153	45	proposed	propose	VERB
ejpam-3519	153	46	an	an	DET
ejpam-3519	153	47	estimator	estimator	NOUN
ejpam-3519	153	48	of	of	ADP
ejpam-3519	153	49	the	the	DET
ejpam-3519	153	50	density	density	NOUN
ejpam-3519	153	51	f	f	X
ejpam-3519	153	52	by	by	ADP
ejpam-3519	153	53	the	the	DET
ejpam-3519	153	54	kernel	kernel	PROPN
ejpam-3519	153	55	method	method	NOUN
ejpam-3519	153	56	given	give	VERB
ejpam-3519	153	57	by	by	ADP
ejpam-3519	153	58	:	:	PUNCT
ejpam-3519	153	59	fn(t	fn(t	NUM
ejpam-3519	153	60	)	)	PUNCT
ejpam-3519	153	61	=	=	SYM
ejpam-3519	154	1	1	1	NUM
ejpam-3519	154	2	bn	bn	NUM
ejpam-3519	154	3	∫	∫	PROPN
ejpam-3519	155	1	+	+	NUM
ejpam-3519	155	2	∞	∞	PROPN
ejpam-3519	155	3	0	0	PUNCT
ejpam-3519	156	1	k	k	NOUN
ejpam-3519	156	2	(	(	PUNCT
ejpam-3519	156	3	t−	t−	PROPN
ejpam-3519	156	4	s	s	PROPN
ejpam-3519	156	5	bn	bn	NOUN
ejpam-3519	156	6	)	)	PUNCT
ejpam-3519	156	7	df̂n(s	df̂n(s	NOUN
ejpam-3519	156	8	)	)	PUNCT
ejpam-3519	156	9	,	,	PUNCT
ejpam-3519	156	10	(	(	PUNCT
ejpam-3519	156	11	15	15	NUM
ejpam-3519	156	12	)	)	PUNCT
ejpam-3519	156	13	where	where	SCONJ
ejpam-3519	156	14	f̂n	f̂n	NOUN
ejpam-3519	156	15	is	be	AUX
ejpam-3519	156	16	an	an	DET
ejpam-3519	156	17	empirical	empirical	ADJ
ejpam-3519	156	18	distribution	distribution	NOUN
ejpam-3519	156	19	function	function	NOUN
ejpam-3519	156	20	,	,	PUNCT
ejpam-3519	156	21	(	(	PUNCT
ejpam-3519	156	22	bn)n≥1	bn)n≥1	NOUN
ejpam-3519	156	23	is	be	AUX
ejpam-3519	156	24	the	the	DET
ejpam-3519	156	25	window	window	NOUN
ejpam-3519	156	26	with	with	ADP
ejpam-3519	156	27	bn	bn	NOUN
ejpam-3519	156	28	→	→	SYM
ejpam-3519	156	29	0	0	NUM
ejpam-3519	156	30	when	when	SCONJ
ejpam-3519	156	31	n→∞	n→∞	NUM
ejpam-3519	156	32	and	and	CCONJ
ejpam-3519	156	33	k	k	X
ejpam-3519	156	34	a	a	DET
ejpam-3519	156	35	kernel	kernel	NOUN
ejpam-3519	156	36	of	of	ADP
ejpam-3519	156	37	support	support	NOUN
ejpam-3519	156	38	[	[	X
ejpam-3519	156	39	−1	−1	NOUN
ejpam-3519	156	40	,	,	PUNCT
ejpam-3519	156	41	1	1	NUM
ejpam-3519	156	42	]	]	PUNCT
ejpam-3519	156	43	.	.	PUNCT
ejpam-3519	157	1	this	this	DET
ejpam-3519	157	2	estimator	estimator	NOUN
ejpam-3519	157	3	fn	fn	PROPN
ejpam-3519	157	4	has	have	AUX
ejpam-3519	157	5	been	be	AUX
ejpam-3519	157	6	studied	study	VERB
ejpam-3519	157	7	in	in	ADP
ejpam-3519	157	8	particular	particular	ADJ
ejpam-3519	157	9	by	by	ADP
ejpam-3519	157	10	[	[	X
ejpam-3519	157	11	2	2	NUM
ejpam-3519	157	12	]	]	PUNCT
ejpam-3519	157	13	,	,	PUNCT
ejpam-3519	157	14	[	[	X
ejpam-3519	157	15	4	4	X
ejpam-3519	157	16	]	]	PUNCT
ejpam-3519	157	17	and	and	CCONJ
ejpam-3519	157	18	[	[	X
ejpam-3519	157	19	10	10	NUM
ejpam-3519	157	20	]	]	PUNCT
ejpam-3519	157	21	.	.	PUNCT
ejpam-3519	158	1	4	4	X
ejpam-3519	158	2	.	.	X
ejpam-3519	158	3	risk	risk	NOUN
ejpam-3519	158	4	function	function	NOUN
ejpam-3519	158	5	estimation	estimation	NOUN
ejpam-3519	158	6	4.1	4.1	NUM
ejpam-3519	158	7	.	.	PUNCT
ejpam-3519	158	8	kernel	kernel	PROPN
ejpam-3519	158	9	estimator	estimator	PROPN
ejpam-3519	158	10	:	:	PUNCT
ejpam-3519	158	11	case	case	NOUN
ejpam-3519	158	12	of	of	ADP
ejpam-3519	158	13	uncensored	uncensored	ADJ
ejpam-3519	158	14	data	datum	NOUN
ejpam-3519	158	15	in	in	ADP
ejpam-3519	158	16	this	this	DET
ejpam-3519	158	17	part	part	NOUN
ejpam-3519	158	18	,	,	PUNCT
ejpam-3519	158	19	we	we	PRON
ejpam-3519	158	20	will	will	AUX
ejpam-3519	158	21	study	study	VERB
ejpam-3519	158	22	an	an	DET
ejpam-3519	158	23	estimator	estimator	NOUN
ejpam-3519	158	24	of	of	ADP
ejpam-3519	158	25	the	the	DET
ejpam-3519	158	26	risk	risk	NOUN
ejpam-3519	158	27	function	function	NOUN
ejpam-3519	158	28	in	in	ADP
ejpam-3519	158	29	the	the	DET
ejpam-3519	158	30	case	case	NOUN
ejpam-3519	158	31	of	of	ADP
ejpam-3519	158	32	uncensored	uncensored	ADJ
ejpam-3519	158	33	data	datum	NOUN
ejpam-3519	158	34	,	,	PUNCT
ejpam-3519	158	35	by	by	ADP
ejpam-3519	158	36	the	the	DET
ejpam-3519	158	37	method	method	NOUN
ejpam-3519	158	38	of	of	ADP
ejpam-3519	158	39	kernel	kernel	NOUN
ejpam-3519	158	40	by	by	ADP
ejpam-3519	158	41	developing	develop	VERB
ejpam-3519	158	42	the	the	DET
ejpam-3519	158	43	article	article	NOUN
ejpam-3519	158	44	written	write	VERB
ejpam-3519	158	45	by	by	ADP
ejpam-3519	158	46	[	[	X
ejpam-3519	158	47	18	18	NUM
ejpam-3519	158	48	]	]	PUNCT
ejpam-3519	158	49	.	.	PUNCT
ejpam-3519	159	1	in	in	ADP
ejpam-3519	159	2	1983	1983	NUM
ejpam-3519	159	3	,	,	PUNCT
ejpam-3519	159	4	henrik	henrik	PROPN
ejpam-3519	159	5	ramlau	ramlau	PROPN
ejpam-3519	159	6	-	-	PUNCT
ejpam-3519	159	7	hansen	hansen	PROPN
ejpam-3519	159	8	had	have	AUX
ejpam-3519	159	9	proposed	propose	VERB
ejpam-3519	159	10	a	a	DET
ejpam-3519	159	11	methodology	methodology	NOUN
ejpam-3519	159	12	,	,	PUNCT
ejpam-3519	159	13	cited	cite	VERB
ejpam-3519	159	14	by	by	ADP
ejpam-3519	159	15	[	[	X
ejpam-3519	159	16	7	7	NUM
ejpam-3519	159	17	]	]	PUNCT
ejpam-3519	159	18	,	,	PUNCT
ejpam-3519	159	19	to	to	PART
ejpam-3519	159	20	construct	construct	VERB
ejpam-3519	159	21	an	an	DET
ejpam-3519	159	22	estimator	estimator	NOUN
ejpam-3519	159	23	ĥn	ĥn	PROPN
ejpam-3519	159	24	of	of	ADP
ejpam-3519	159	25	the	the	DET
ejpam-3519	159	26	risk	risk	NOUN
ejpam-3519	159	27	function	function	NOUN
ejpam-3519	159	28	by	by	ADP
ejpam-3519	159	29	smoothing	smooth	VERB
ejpam-3519	159	30	.	.	PUNCT
ejpam-3519	160	1	this	this	DET
ejpam-3519	160	2	smoothing	smoothing	NOUN
ejpam-3519	160	3	occurs	occur	VERB
ejpam-3519	160	4	through	through	ADP
ejpam-3519	160	5	convolution	convolution	NOUN
ejpam-3519	160	6	by	by	ADP
ejpam-3519	160	7	a	a	DET
ejpam-3519	160	8	kernel	kernel	NOUN
ejpam-3519	160	9	and	and	CCONJ
ejpam-3519	160	10	by	by	ADP
ejpam-3519	160	11	use	use	NOUN
ejpam-3519	160	12	of	of	ADP
ejpam-3519	160	13	a	a	DET
ejpam-3519	160	14	window	window	NOUN
ejpam-3519	160	15	bn	bn	NOUN
ejpam-3519	160	16	.	.	PUNCT
ejpam-3519	161	1	let	let	VERB
ejpam-3519	161	2	t1	t1	NOUN
ejpam-3519	161	3	,	,	PUNCT
ejpam-3519	161	4	t2	t2	NOUN
ejpam-3519	161	5	,	,	PUNCT
ejpam-3519	161	6	...	...	PUNCT
ejpam-3519	161	7	,	,	PUNCT
ejpam-3519	161	8	tn	tn	VERB
ejpam-3519	161	9	the	the	DET
ejpam-3519	161	10	random	random	ADJ
ejpam-3519	161	11	variables	variable	NOUN
ejpam-3519	161	12	i.i.d	i.i.d	ADP
ejpam-3519	161	13	of	of	ADP
ejpam-3519	161	14	density	density	NOUN
ejpam-3519	161	15	f	f	PROPN
ejpam-3519	161	16	and	and	CCONJ
ejpam-3519	161	17	f	f	PROPN
ejpam-3519	161	18	distribution	distribution	NOUN
ejpam-3519	161	19	function	function	NOUN
ejpam-3519	161	20	.	.	PUNCT
ejpam-3519	162	1	the	the	DET
ejpam-3519	162	2	kernel	kernel	PROPN
ejpam-3519	162	3	estimator	estimator	NOUN
ejpam-3519	162	4	of	of	ADP
ejpam-3519	162	5	the	the	DET
ejpam-3519	162	6	density	density	NOUN
ejpam-3519	162	7	proposed	propose	VERB
ejpam-3519	162	8	by	by	ADP
ejpam-3519	162	9	[	[	X
ejpam-3519	162	10	19	19	NUM
ejpam-3519	162	11	]	]	PUNCT
ejpam-3519	162	12	is	be	AUX
ejpam-3519	162	13	defined	define	VERB
ejpam-3519	162	14	by	by	ADP
ejpam-3519	162	15	:	:	PUNCT
ejpam-3519	162	16	f̂n(t	f̂n(t	PROPN
ejpam-3519	162	17	)	)	PUNCT
ejpam-3519	162	18	=	=	SYM
ejpam-3519	162	19	1	1	NUM
ejpam-3519	162	20	bn	bn	NUM
ejpam-3519	162	21	∫	∫	PROPN
ejpam-3519	163	1	+	+	NUM
ejpam-3519	163	2	∞	∞	PROPN
ejpam-3519	163	3	−∞	−∞	X
ejpam-3519	163	4	k	k	X
ejpam-3519	163	5	(	(	PUNCT
ejpam-3519	163	6	t−	t−	PROPN
ejpam-3519	163	7	s	s	NOUN
ejpam-3519	163	8	bn	bn	NOUN
ejpam-3519	163	9	)	)	PUNCT
ejpam-3519	163	10	dfn(s	dfn(s	PROPN
ejpam-3519	163	11	)	)	PUNCT
ejpam-3519	163	12	,	,	PUNCT
ejpam-3519	163	13	(	(	PUNCT
ejpam-3519	163	14	16	16	NUM
ejpam-3519	163	15	)	)	PUNCT
ejpam-3519	163	16	where	where	SCONJ
ejpam-3519	163	17	fn	fn	NOUN
ejpam-3519	163	18	is	be	AUX
ejpam-3519	163	19	the	the	DET
ejpam-3519	163	20	empirical	empirical	ADJ
ejpam-3519	163	21	distribution	distribution	NOUN
ejpam-3519	163	22	function	function	NOUN
ejpam-3519	163	23	of	of	ADP
ejpam-3519	163	24	ti	ti	NOUN
ejpam-3519	163	25	and	and	CCONJ
ejpam-3519	163	26	k	k	PROPN
ejpam-3519	163	27	a	a	DET
ejpam-3519	163	28	parzen	parzen	PROPN
ejpam-3519	163	29	-	-	PUNCT
ejpam-3519	163	30	rosenblatt	rosenblatt	NOUN
ejpam-3519	163	31	kernel	kernel	NOUN
ejpam-3519	163	32	of	of	ADP
ejpam-3519	163	33	support	support	NOUN
ejpam-3519	163	34	[	[	X
ejpam-3519	163	35	−1	−1	NOUN
ejpam-3519	163	36	,	,	PUNCT
ejpam-3519	163	37	1	1	NUM
ejpam-3519	163	38	]	]	PUNCT
ejpam-3519	163	39	(	(	PUNCT
ejpam-3519	163	40	k	k	PROPN
ejpam-3519	163	41	is	be	AUX
ejpam-3519	163	42	bounded	bound	VERB
ejpam-3519	163	43	,	,	PUNCT
ejpam-3519	163	44	integrable	integrable	ADJ
ejpam-3519	163	45	,	,	PUNCT
ejpam-3519	163	46	symmetric	symmetric	ADJ
ejpam-3519	163	47	,	,	PUNCT
ejpam-3519	163	48	∫	∫	PROPN
ejpam-3519	163	49	1	1	NUM
ejpam-3519	164	1	−1kdµ	−1kdµ	NOUN
ejpam-3519	164	2	=	=	NOUN
ejpam-3519	164	3	1	1	NUM
ejpam-3519	164	4	where	where	SCONJ
ejpam-3519	164	5	µ	µ	NOUN
ejpam-3519	164	6	is	be	AUX
ejpam-3519	164	7	a	a	DET
ejpam-3519	164	8	measure	measure	NOUN
ejpam-3519	164	9	d.	d.	PROPN
ejpam-3519	164	10	a.	a.	PROPN
ejpam-3519	164	11	n.	n.	PROPN
ejpam-3519	164	12	njamen	njamen	PROPN
ejpam-3519	164	13	,	,	PUNCT
ejpam-3519	164	14	h.	h.	PROPN
ejpam-3519	164	15	c.	c.	PROPN
ejpam-3519	164	16	yayebga	yayebga	PROPN
ejpam-3519	164	17	/	/	SYM
ejpam-3519	164	18	eur	eur	PROPN
ejpam-3519	164	19	.	.	PUNCT
ejpam-3519	165	1	j.	j.	PROPN
ejpam-3519	165	2	pure	pure	PROPN
ejpam-3519	165	3	appl	appl	PROPN
ejpam-3519	165	4	.	.	PROPN
ejpam-3519	165	5	math	math	PROPN
ejpam-3519	165	6	,	,	PUNCT
ejpam-3519	165	7	12	12	NUM
ejpam-3519	165	8	(	(	PUNCT
ejpam-3519	165	9	4	4	NUM
ejpam-3519	165	10	)	)	PUNCT
ejpam-3519	165	11	(	(	PUNCT
ejpam-3519	165	12	2019	2019	NUM
ejpam-3519	165	13	)	)	PUNCT
ejpam-3519	165	14	,	,	PUNCT
ejpam-3519	165	15	1612	1612	NUM
ejpam-3519	165	16	-	-	SYM
ejpam-3519	165	17	1642	1642	NUM
ejpam-3519	165	18	1620	1620	NUM
ejpam-3519	165	19	on	on	ADP
ejpam-3519	165	20	r	r	NOUN
ejpam-3519	165	21	and	and	CCONJ
ejpam-3519	165	22	lim|x|→+∞	lim|x|→+∞	NOUN
ejpam-3519	165	23	|x||k(x)|	|x||k(x)|	VERB
ejpam-3519	165	24	=	=	NOUN
ejpam-3519	165	25	0	0	NUM
ejpam-3519	165	26	)	)	PUNCT
ejpam-3519	165	27	.	.	PUNCT
ejpam-3519	166	1	recall	recall	VERB
ejpam-3519	166	2	that	that	SCONJ
ejpam-3519	166	3	the	the	DET
ejpam-3519	166	4	risk	risk	NOUN
ejpam-3519	166	5	function	function	VERB
ejpam-3519	166	6	h(t	h(t	PRON
ejpam-3519	166	7	)	)	PUNCT
ejpam-3519	167	1	=	=	SYM
ejpam-3519	167	2	f(t	f(t	NOUN
ejpam-3519	167	3	)	)	PUNCT
ejpam-3519	167	4	1−	1−	NUM
ejpam-3519	167	5	f	f	X
ejpam-3519	167	6	(	(	PUNCT
ejpam-3519	167	7	t	t	PROPN
ejpam-3519	167	8	)	)	PUNCT
ejpam-3519	167	9	,	,	PUNCT
ejpam-3519	167	10	(	(	PUNCT
ejpam-3519	167	11	17	17	NUM
ejpam-3519	167	12	)	)	PUNCT
ejpam-3519	167	13	with	with	ADP
ejpam-3519	167	14	t	t	PROPN
ejpam-3519	167	15	≥	≥	NOUN
ejpam-3519	167	16	0	0	NUM
ejpam-3519	167	17	and	and	CCONJ
ejpam-3519	167	18	f	f	PROPN
ejpam-3519	167	19	(	(	PUNCT
ejpam-3519	167	20	t	t	PROPN
ejpam-3519	167	21	)	)	PUNCT
ejpam-3519	167	22	<	<	X
ejpam-3519	167	23	1	1	X
ejpam-3519	167	24	.	.	PUNCT
ejpam-3519	168	1	[	[	X
ejpam-3519	168	2	25	25	NUM
ejpam-3519	168	3	]	]	PUNCT
ejpam-3519	168	4	studied	study	VERB
ejpam-3519	168	5	a	a	DET
ejpam-3519	168	6	kernel	kernel	PROPN
ejpam-3519	168	7	estimator	estimator	NOUN
ejpam-3519	168	8	of	of	ADP
ejpam-3519	168	9	risk	risk	NOUN
ejpam-3519	168	10	function	function	NOUN
ejpam-3519	168	11	h	h	NOUN
ejpam-3519	168	12	given	give	VERB
ejpam-3519	168	13	by	by	ADP
ejpam-3519	168	14	:	:	PUNCT
ejpam-3519	168	15	ĥn(t	ĥn(t	X
ejpam-3519	168	16	)	)	PUNCT
ejpam-3519	168	17	=	=	SYM
ejpam-3519	169	1	1	1	NUM
ejpam-3519	169	2	n−	n−	NOUN
ejpam-3519	169	3	i+	i+	NOUN
ejpam-3519	169	4	1	1	NUM
ejpam-3519	169	5	n∑	n∑	NOUN
ejpam-3519	169	6	i=1	i=1	PROPN
ejpam-3519	169	7	1	1	NUM
ejpam-3519	169	8	bn	bn	NOUN
ejpam-3519	169	9	k	k	NOUN
ejpam-3519	170	1	(	(	PUNCT
ejpam-3519	170	2	t−	t−	PRON
ejpam-3519	170	3	ti	ti	NOUN
ejpam-3519	170	4	bn	bn	PROPN
ejpam-3519	170	5	)	)	PUNCT
ejpam-3519	170	6	,	,	PUNCT
ejpam-3519	170	7	(	(	PUNCT
ejpam-3519	170	8	18	18	NUM
ejpam-3519	170	9	)	)	PUNCT
ejpam-3519	170	10	where	where	SCONJ
ejpam-3519	170	11	t(1	t(1	NOUN
ejpam-3519	170	12	)	)	PUNCT
ejpam-3519	170	13	,	,	PUNCT
ejpam-3519	170	14	t(2	t(2	PROPN
ejpam-3519	170	15	)	)	PUNCT
ejpam-3519	170	16	,	,	PUNCT
ejpam-3519	170	17	...	...	PUNCT
ejpam-3519	170	18	,	,	PUNCT
ejpam-3519	170	19	t(n	t(n	PROPN
ejpam-3519	170	20	)	)	PUNCT
ejpam-3519	170	21	is	be	AUX
ejpam-3519	170	22	the	the	DET
ejpam-3519	170	23	order	order	NOUN
ejpam-3519	170	24	statistic	statistic	NOUN
ejpam-3519	170	25	of	of	ADP
ejpam-3519	170	26	ti	ti	PROPN
ejpam-3519	170	27	.	.	PUNCT
ejpam-3519	171	1	if	if	SCONJ
ejpam-3519	171	2	we	we	PRON
ejpam-3519	171	3	pose	pose	VERB
ejpam-3519	171	4	nn(t	nn(t	NOUN
ejpam-3519	171	5	)	)	PUNCT
ejpam-3519	171	6	=	=	SYM
ejpam-3519	171	7	nfn(t	nfn(t	PROPN
ejpam-3519	171	8	)	)	PUNCT
ejpam-3519	171	9	=	=	SYM
ejpam-3519	172	1	n∑	n∑	NOUN
ejpam-3519	172	2	i=1	i=1	ADP
ejpam-3519	172	3	11{ti≤t	11{ti≤t	NUM
ejpam-3519	172	4	}	}	PUNCT
ejpam-3519	172	5	and	and	CCONJ
ejpam-3519	172	6	y	y	PROPN
ejpam-3519	172	7	n(t	n(t	PROPN
ejpam-3519	172	8	)	)	PUNCT
ejpam-3519	172	9	=	=	PUNCT
ejpam-3519	172	10	n−nn(t)(t−	n−nn(t)(t−	NOUN
ejpam-3519	172	11	)	)	PUNCT
ejpam-3519	173	1	=	=	SYM
ejpam-3519	173	2	n∑	n∑	NOUN
ejpam-3519	173	3	i=1	i=1	PROPN
ejpam-3519	173	4	11{ti≥t	11{ti≥t	NUM
ejpam-3519	173	5	}	}	PUNCT
ejpam-3519	173	6	,	,	PUNCT
ejpam-3519	173	7	then	then	ADV
ejpam-3519	173	8	,	,	PUNCT
ejpam-3519	173	9	the	the	DET
ejpam-3519	173	10	expression	expression	NOUN
ejpam-3519	173	11	(	(	PUNCT
ejpam-3519	173	12	18	18	NUM
ejpam-3519	173	13	)	)	PUNCT
ejpam-3519	173	14	can	can	AUX
ejpam-3519	173	15	be	be	AUX
ejpam-3519	173	16	written	write	VERB
ejpam-3519	173	17	in	in	ADP
ejpam-3519	173	18	the	the	DET
ejpam-3519	173	19	form	form	NOUN
ejpam-3519	173	20	:	:	PUNCT
ejpam-3519	173	21	ĥn(t	ĥn(t	X
ejpam-3519	173	22	)	)	PUNCT
ejpam-3519	173	23	=	=	SYM
ejpam-3519	174	1	1	1	NUM
ejpam-3519	174	2	bn	bn	NUM
ejpam-3519	174	3	∫	∫	PROPN
ejpam-3519	175	1	+	+	NUM
ejpam-3519	175	2	∞	∞	PROPN
ejpam-3519	175	3	0	0	PUNCT
ejpam-3519	176	1	k	k	NOUN
ejpam-3519	176	2	(	(	PUNCT
ejpam-3519	176	3	t−	t−	PROPN
ejpam-3519	176	4	s	s	PROPN
ejpam-3519	176	5	bn	bn	NOUN
ejpam-3519	176	6	)	)	PUNCT
ejpam-3519	176	7	dĥna(s	dĥna(s	NUM
ejpam-3519	176	8	)	)	PUNCT
ejpam-3519	176	9	,	,	PUNCT
ejpam-3519	176	10	(	(	PUNCT
ejpam-3519	176	11	19	19	NUM
ejpam-3519	176	12	)	)	PUNCT
ejpam-3519	176	13	where	where	SCONJ
ejpam-3519	176	14	ĥna(t	ĥna(t	X
ejpam-3519	176	15	)	)	PUNCT
ejpam-3519	176	16	=	=	SYM
ejpam-3519	177	1	∫	∫	PROPN
ejpam-3519	177	2	t	t	PROPN
ejpam-3519	177	3	0	0	NUM
ejpam-3519	177	4	dnn(s	dnn(s	PROPN
ejpam-3519	177	5	)	)	PUNCT
ejpam-3519	177	6	y	y	PROPN
ejpam-3519	177	7	n(s	n(s	PROPN
ejpam-3519	177	8	)	)	PUNCT
ejpam-3519	177	9	(	(	PUNCT
ejpam-3519	177	10	20	20	NUM
ejpam-3519	177	11	)	)	PUNCT
ejpam-3519	177	12	is	be	AUX
ejpam-3519	177	13	the	the	DET
ejpam-3519	177	14	nelson	nelson	PROPN
ejpam-3519	177	15	-	-	PUNCT
ejpam-3519	177	16	aalen	aalen	VERB
ejpam-3519	177	17	estimator	estimator	NOUN
ejpam-3519	177	18	of	of	ADP
ejpam-3519	177	19	the	the	DET
ejpam-3519	177	20	cumulative	cumulative	ADJ
ejpam-3519	177	21	hazard	hazard	NOUN
ejpam-3519	177	22	rate	rate	NOUN
ejpam-3519	177	23	(	(	PUNCT
ejpam-3519	177	24	see	see	VERB
ejpam-3519	177	25	[	[	X
ejpam-3519	177	26	12	12	NUM
ejpam-3519	177	27	]	]	PUNCT
ejpam-3519	177	28	,	,	PUNCT
ejpam-3519	178	1	[	[	X
ejpam-3519	178	2	1	1	NUM
ejpam-3519	178	3	]	]	PUNCT
ejpam-3519	178	4	and	and	CCONJ
ejpam-3519	178	5	[	[	X
ejpam-3519	178	6	13	13	NUM
ejpam-3519	178	7	]	]	NUM
ejpam-3519	178	8	)	)	PUNCT
ejpam-3519	178	9	.	.	PUNCT
ejpam-3519	179	1	definition	definition	NOUN
ejpam-3519	179	2	5	5	NUM
ejpam-3519	179	3	.	.	PUNCT
ejpam-3519	180	1	let	let	VERB
ejpam-3519	180	2	k	k	PRON
ejpam-3519	180	3	be	be	AUX
ejpam-3519	180	4	a	a	DET
ejpam-3519	180	5	bounded	bounded	ADJ
ejpam-3519	180	6	function	function	NOUN
ejpam-3519	180	7	of	of	ADP
ejpam-3519	180	8	integral	integral	ADJ
ejpam-3519	180	9	1	1	NUM
ejpam-3519	180	10	and	and	CCONJ
ejpam-3519	180	11	bn	bn	ADP
ejpam-3519	180	12	a	a	DET
ejpam-3519	180	13	positive	positive	ADJ
ejpam-3519	180	14	window	window	NOUN
ejpam-3519	180	15	.	.	PUNCT
ejpam-3519	181	1	the	the	DET
ejpam-3519	181	2	kernel	kernel	PROPN
ejpam-3519	181	3	estimator	estimator	NOUN
ejpam-3519	181	4	corresponding	correspond	VERB
ejpam-3519	181	5	to	to	ADP
ejpam-3519	181	6	the	the	DET
ejpam-3519	181	7	h	h	NOUN
ejpam-3519	181	8	hazard	hazard	NOUN
ejpam-3519	181	9	rate	rate	NOUN
ejpam-3519	181	10	is	be	AUX
ejpam-3519	181	11	given	give	VERB
ejpam-3519	181	12	by	by	ADP
ejpam-3519	181	13	:	:	PUNCT
ejpam-3519	181	14	ĥn(t	ĥn(t	X
ejpam-3519	181	15	)	)	PUNCT
ejpam-3519	181	16	=	=	SYM
ejpam-3519	182	1	1	1	NUM
ejpam-3519	182	2	bn	bn	NUM
ejpam-3519	182	3	∫	∫	PROPN
ejpam-3519	182	4	1	1	NUM
ejpam-3519	182	5	0	0	NUM
ejpam-3519	182	6	k	k	NOUN
ejpam-3519	182	7	(	(	PUNCT
ejpam-3519	182	8	t−	t−	PROPN
ejpam-3519	182	9	s	s	PROPN
ejpam-3519	182	10	bn	bn	NOUN
ejpam-3519	182	11	)	)	PUNCT
ejpam-3519	182	12	dĥna(s	dĥna(s	NUM
ejpam-3519	182	13	)	)	PUNCT
ejpam-3519	182	14	.	.	PUNCT
ejpam-3519	183	1	(	(	PUNCT
ejpam-3519	183	2	21	21	NUM
ejpam-3519	183	3	)	)	PUNCT
ejpam-3519	183	4	the	the	DET
ejpam-3519	183	5	instants	instant	NOUN
ejpam-3519	183	6	of	of	ADP
ejpam-3519	183	7	process	process	NOUN
ejpam-3519	183	8	n	n	PRON
ejpam-3519	183	9	jumps	jump	VERB
ejpam-3519	183	10	are	be	AUX
ejpam-3519	183	11	t(1	t(1	NOUN
ejpam-3519	183	12	)	)	PUNCT
ejpam-3519	183	13	,	,	PUNCT
ejpam-3519	183	14	t(2	t(2	PROPN
ejpam-3519	183	15	)	)	PUNCT
ejpam-3519	183	16	,	,	PUNCT
ejpam-3519	183	17	...	...	PUNCT
ejpam-3519	183	18	,	,	PUNCT
ejpam-3519	183	19	t(n	t(n	PROPN
ejpam-3519	183	20	)	)	PUNCT
ejpam-3519	183	21	.	.	PUNCT
ejpam-3519	184	1	so	so	ADV
ejpam-3519	184	2	,	,	PUNCT
ejpam-3519	184	3	ĥn(t	ĥn(t	NOUN
ejpam-3519	184	4	)	)	PUNCT
ejpam-3519	184	5	=	=	SYM
ejpam-3519	185	1	1	1	NUM
ejpam-3519	185	2	bn	bn	NUM
ejpam-3519	185	3	∑	∑	PUNCT
ejpam-3519	185	4	ik	ik	X
ejpam-3519	185	5	(	(	PUNCT
ejpam-3519	185	6	t−t(i	t−t(i	NUM
ejpam-3519	185	7	)	)	PUNCT
ejpam-3519	185	8	bn	bn	NOUN
ejpam-3519	185	9	)	)	PUNCT
ejpam-3519	185	10	y	y	PROPN
ejpam-3519	185	11	n(t(i	n(t(i	PROPN
ejpam-3519	185	12	)	)	PUNCT
ejpam-3519	185	13	)	)	PUNCT
ejpam-3519	185	14	.	.	PUNCT
ejpam-3519	186	1	(	(	PUNCT
ejpam-3519	186	2	22	22	X
ejpam-3519	186	3	)	)	PUNCT
ejpam-3519	186	4	d.	d.	PROPN
ejpam-3519	186	5	a.	a.	PROPN
ejpam-3519	186	6	n.	n.	PROPN
ejpam-3519	186	7	njamen	njamen	PROPN
ejpam-3519	186	8	,	,	PUNCT
ejpam-3519	186	9	h.	h.	PROPN
ejpam-3519	186	10	c.	c.	PROPN
ejpam-3519	186	11	yayebga	yayebga	PROPN
ejpam-3519	186	12	/	/	SYM
ejpam-3519	186	13	eur	eur	PROPN
ejpam-3519	186	14	.	.	PUNCT
ejpam-3519	187	1	j.	j.	PROPN
ejpam-3519	187	2	pure	pure	PROPN
ejpam-3519	187	3	appl	appl	PROPN
ejpam-3519	187	4	.	.	PROPN
ejpam-3519	187	5	math	math	PROPN
ejpam-3519	187	6	,	,	PUNCT
ejpam-3519	187	7	12	12	NUM
ejpam-3519	187	8	(	(	PUNCT
ejpam-3519	187	9	4	4	NUM
ejpam-3519	187	10	)	)	PUNCT
ejpam-3519	187	11	(	(	PUNCT
ejpam-3519	187	12	2019	2019	NUM
ejpam-3519	187	13	)	)	PUNCT
ejpam-3519	187	14	,	,	PUNCT
ejpam-3519	187	15	1612	1612	NUM
ejpam-3519	187	16	-	-	SYM
ejpam-3519	187	17	1642	1642	NUM
ejpam-3519	187	18	1621	1621	NUM
ejpam-3519	187	19	4.2	4.2	NUM
ejpam-3519	187	20	.	.	PUNCT
ejpam-3519	188	1	mean	mean	VERB
ejpam-3519	188	2	and	and	CCONJ
ejpam-3519	188	3	variance	variance	NOUN
ejpam-3519	188	4	of	of	ADP
ejpam-3519	188	5	the	the	DET
ejpam-3519	188	6	kernel	kernel	PROPN
ejpam-3519	188	7	estimator	estimator	NOUN
ejpam-3519	188	8	ĥn	ĥn	PROPN
ejpam-3519	189	1	we	we	PRON
ejpam-3519	189	2	assumed	assume	VERB
ejpam-3519	189	3	that	that	SCONJ
ejpam-3519	189	4	the	the	DET
ejpam-3519	189	5	support	support	NOUN
ejpam-3519	189	6	of	of	ADP
ejpam-3519	189	7	the	the	DET
ejpam-3519	189	8	kernel	kernel	NOUN
ejpam-3519	189	9	k	k	PROPN
ejpam-3519	189	10	is	be	AUX
ejpam-3519	189	11	[	[	X
ejpam-3519	189	12	−1	−1	NOUN
ejpam-3519	189	13	,	,	PUNCT
ejpam-3519	189	14	1	1	NUM
ejpam-3519	189	15	]	]	PUNCT
ejpam-3519	189	16	and	and	CCONJ
ejpam-3519	189	17	0	0	NUM
ejpam-3519	189	18	<	<	X
ejpam-3519	189	19	bn	bn	X
ejpam-3519	189	20	<	<	X
ejpam-3519	189	21	1	1	NUM
ejpam-3519	189	22	2	2	NUM
ejpam-3519	189	23	.	.	PUNCT
ejpam-3519	190	1	let	let	AUX
ejpam-3519	190	2	consider	consider	VERB
ejpam-3519	190	3	t	t	X
ejpam-3519	190	4	∈	∈	PROPN
ejpam-3519	191	1	[	[	X
ejpam-3519	191	2	bn	bn	X
ejpam-3519	191	3	,	,	PUNCT
ejpam-3519	191	4	1−	1−	NUM
ejpam-3519	191	5	bn	bn	NOUN
ejpam-3519	191	6	]	]	PUNCT
ejpam-3519	191	7	.	.	PUNCT
ejpam-3519	192	1	then	then	ADV
ejpam-3519	192	2	we	we	PRON
ejpam-3519	192	3	have	have	VERB
ejpam-3519	192	4	:	:	PUNCT
ejpam-3519	192	5	h̃n(t	h̃n(t	X
ejpam-3519	192	6	)	)	PUNCT
ejpam-3519	192	7	=	=	SYM
ejpam-3519	193	1	1	1	NUM
ejpam-3519	193	2	bn	bn	NUM
ejpam-3519	193	3	∫	∫	PROPN
ejpam-3519	193	4	1	1	NUM
ejpam-3519	193	5	0	0	NUM
ejpam-3519	193	6	k	k	NOUN
ejpam-3519	193	7	(	(	PUNCT
ejpam-3519	193	8	t−	t−	PROPN
ejpam-3519	193	9	s	s	NOUN
ejpam-3519	193	10	bn	bn	NOUN
ejpam-3519	193	11	)	)	PUNCT
ejpam-3519	193	12	dh̃n(s	dh̃n(s	NUM
ejpam-3519	193	13	)	)	PUNCT
ejpam-3519	193	14	=	=	SYM
ejpam-3519	194	1	∫	∫	PROPN
ejpam-3519	194	2	1	1	NUM
ejpam-3519	194	3	−1	−1	NOUN
ejpam-3519	194	4	k(u)h(t−	k(u)h(t−	PROPN
ejpam-3519	194	5	bnu)j(t−	bnu)j(t−	PROPN
ejpam-3519	194	6	bnu)du	bnu)du	NOUN
ejpam-3519	194	7	,	,	PUNCT
ejpam-3519	194	8	with	with	ADP
ejpam-3519	194	9	j(t	j(t	PROPN
ejpam-3519	194	10	)	)	PUNCT
ejpam-3519	194	11	=	=	SYM
ejpam-3519	194	12	11{y	11{y	NUM
ejpam-3519	194	13	(	(	PUNCT
ejpam-3519	194	14	t)>0	t)>0	NUM
ejpam-3519	194	15	}	}	PUNCT
ejpam-3519	194	16	.	.	PUNCT
ejpam-3519	195	1	proposition	proposition	NOUN
ejpam-3519	195	2	1	1	NUM
ejpam-3519	195	3	.	.	PUNCT
ejpam-3519	196	1	(	(	PUNCT
ejpam-3519	196	2	[	[	X
ejpam-3519	196	3	8	8	NUM
ejpam-3519	196	4	]	]	PUNCT
ejpam-3519	196	5	)	)	PUNCT
ejpam-3519	196	6	by	by	ADP
ejpam-3519	196	7	taking	take	VERB
ejpam-3519	196	8	,	,	PUNCT
ejpam-3519	196	9	kbn(s	kbn(s	PROPN
ejpam-3519	196	10	)	)	PUNCT
ejpam-3519	196	11	=	=	SYM
ejpam-3519	196	12	1	1	NUM
ejpam-3519	196	13	bn	bn	NUM
ejpam-3519	196	14	k	k	PROPN
ejpam-3519	196	15	(	(	PUNCT
ejpam-3519	196	16	s	s	PROPN
ejpam-3519	196	17	bn	bn	NOUN
ejpam-3519	196	18	)	)	PUNCT
ejpam-3519	196	19	and	and	CCONJ
ejpam-3519	196	20	jn(s	jn(s	NUM
ejpam-3519	196	21	)	)	PUNCT
ejpam-3519	196	22	=	=	SYM
ejpam-3519	196	23	e(jn(s	e(jn(s	PROPN
ejpam-3519	196	24	)	)	PUNCT
ejpam-3519	196	25	)	)	PUNCT
ejpam-3519	196	26	then	then	ADV
ejpam-3519	196	27	for	for	ADP
ejpam-3519	196	28	all	all	DET
ejpam-3519	196	29	t	t	PROPN
ejpam-3519	196	30	≥	≥	NOUN
ejpam-3519	196	31	0	0	NUM
ejpam-3519	196	32	,	,	PUNCT
ejpam-3519	196	33	we	we	PRON
ejpam-3519	196	34	have	have	VERB
ejpam-3519	196	35	:	:	PUNCT
ejpam-3519	196	36	e(ĥn(t	e(ĥn(t	NOUN
ejpam-3519	196	37	)	)	PUNCT
ejpam-3519	196	38	)	)	PUNCT
ejpam-3519	197	1	=	=	SYM
ejpam-3519	197	2	e(h̃n(t	e(h̃n(t	ADJ
ejpam-3519	197	3	)	)	PUNCT
ejpam-3519	197	4	)	)	PUNCT
ejpam-3519	198	1	=	=	PUNCT
ejpam-3519	198	2	(	(	PUNCT
ejpam-3519	198	3	kbn	kbn	PROPN
ejpam-3519	198	4	∗	∗	X
ejpam-3519	198	5	hjn)(t	hjn)(t	PROPN
ejpam-3519	198	6	)	)	PUNCT
ejpam-3519	198	7	,	,	PUNCT
ejpam-3519	198	8	(	(	PUNCT
ejpam-3519	198	9	23	23	NUM
ejpam-3519	198	10	)	)	PUNCT
ejpam-3519	198	11	and	and	CCONJ
ejpam-3519	198	12	,	,	PUNCT
ejpam-3519	198	13	σ2	σ2	PROPN
ejpam-3519	198	14	n(t	n(t	PROPN
ejpam-3519	198	15	)	)	PUNCT
ejpam-3519	198	16	=	=	SYM
ejpam-3519	198	17	e	e	X
ejpam-3519	198	18	(	(	PUNCT
ejpam-3519	198	19	ĥn(t)−	ĥn(t)−	PROPN
ejpam-3519	198	20	h̃n(t	h̃n(t	NUM
ejpam-3519	198	21	)	)	PUNCT
ejpam-3519	198	22	)	)	PUNCT
ejpam-3519	198	23	2	2	NUM
ejpam-3519	198	24	=	=	SYM
ejpam-3519	198	25	1	1	NUM
ejpam-3519	198	26	bn	bn	NUM
ejpam-3519	198	27	∫	∫	PROPN
ejpam-3519	198	28	1	1	NUM
ejpam-3519	198	29	−1	−1	NOUN
ejpam-3519	198	30	k2(u)h(t−	k2(u)h(t−	NOUN
ejpam-3519	199	1	bnu)e	bnu)e	PROPN
ejpam-3519	199	2	(	(	PUNCT
ejpam-3519	199	3	jn(t−	jn(t−	PUNCT
ejpam-3519	199	4	bnu	bnu	NOUN
ejpam-3519	199	5	)	)	PUNCT
ejpam-3519	199	6	y	y	PROPN
ejpam-3519	199	7	n(t−	n(t−	PROPN
ejpam-3519	199	8	bnu	bnu	NOUN
ejpam-3519	199	9	)	)	PUNCT
ejpam-3519	199	10	)	)	PUNCT
ejpam-3519	200	1	du	du	PROPN
ejpam-3519	200	2	,	,	PUNCT
ejpam-3519	200	3	(	(	PUNCT
ejpam-3519	200	4	24	24	NUM
ejpam-3519	200	5	)	)	PUNCT
ejpam-3519	200	6	with	with	ADP
ejpam-3519	200	7	jn(t	jn(t	NOUN
ejpam-3519	200	8	)	)	PUNCT
ejpam-3519	200	9	)	)	PUNCT
ejpam-3519	201	1	=	=	SYM
ejpam-3519	201	2	11{y	11{y	NUM
ejpam-3519	201	3	n(t)>0	n(t)>0	NUM
ejpam-3519	201	4	}	}	PUNCT
ejpam-3519	201	5	.	.	PUNCT
ejpam-3519	202	1	proposition	proposition	NOUN
ejpam-3519	202	2	2	2	NUM
ejpam-3519	202	3	.	.	PUNCT
ejpam-3519	203	1	(	(	PUNCT
ejpam-3519	203	2	[	[	X
ejpam-3519	203	3	8	8	NUM
ejpam-3519	203	4	]	]	PUNCT
ejpam-3519	203	5	)	)	PUNCT
ejpam-3519	203	6	for	for	ADP
ejpam-3519	203	7	all	all	DET
ejpam-3519	203	8	t	t	NOUN
ejpam-3519	203	9	∈	∈	PROPN
ejpam-3519	204	1	[	[	X
ejpam-3519	204	2	bn	bn	X
ejpam-3519	204	3	,	,	PUNCT
ejpam-3519	204	4	1−	1−	NUM
ejpam-3519	204	5	bn	bn	NOUN
ejpam-3519	204	6	]	]	X
ejpam-3519	204	7	,	,	PUNCT
ejpam-3519	204	8	an	an	DET
ejpam-3519	204	9	unbiased	unbiased	ADJ
ejpam-3519	204	10	estimator	estimator	NOUN
ejpam-3519	204	11	of	of	ADP
ejpam-3519	204	12	σ2	σ2	PROPN
ejpam-3519	204	13	is	be	AUX
ejpam-3519	204	14	σ̂2(t	σ̂2(t	PROPN
ejpam-3519	204	15	)	)	PUNCT
ejpam-3519	204	16	=	=	SYM
ejpam-3519	204	17	1	1	NUM
ejpam-3519	204	18	b2n	b2n	X
ejpam-3519	204	19	∫	∫	PROPN
ejpam-3519	204	20	1	1	NUM
ejpam-3519	204	21	−1	−1	NOUN
ejpam-3519	204	22	k2	k2	NOUN
ejpam-3519	204	23	(	(	PUNCT
ejpam-3519	204	24	t−	t−	PROPN
ejpam-3519	204	25	s	s	NOUN
ejpam-3519	204	26	bn	bn	NOUN
ejpam-3519	204	27	)	)	PUNCT
ejpam-3519	204	28	(	(	PUNCT
ejpam-3519	204	29	jn(s	jn(s	NOUN
ejpam-3519	204	30	)	)	PUNCT
ejpam-3519	204	31	y	y	PROPN
ejpam-3519	204	32	2	2	NUM
ejpam-3519	204	33	n(s	n(s	PROPN
ejpam-3519	204	34	)	)	PUNCT
ejpam-3519	204	35	)	)	PUNCT
ejpam-3519	204	36	dnn(s	dnn(s	PROPN
ejpam-3519	204	37	)	)	PUNCT
ejpam-3519	204	38	,	,	PUNCT
ejpam-3519	204	39	(	(	PUNCT
ejpam-3519	204	40	25	25	NUM
ejpam-3519	204	41	)	)	PUNCT
ejpam-3519	204	42	with	with	ADP
ejpam-3519	204	43	jn(t	jn(t	NOUN
ejpam-3519	204	44	)	)	PUNCT
ejpam-3519	204	45	)	)	PUNCT
ejpam-3519	205	1	=	=	SYM
ejpam-3519	205	2	11{y	11{y	NUM
ejpam-3519	205	3	n(t)>0	n(t)>0	X
ejpam-3519	205	4	}	}	PUNCT
ejpam-3519	205	5	.	.	PUNCT
ejpam-3519	206	1	4.3	4.3	NUM
ejpam-3519	206	2	.	.	PUNCT
ejpam-3519	206	3	kernel	kernel	PROPN
ejpam-3519	206	4	estimation	estimation	NOUN
ejpam-3519	206	5	of	of	ADP
ejpam-3519	206	6	the	the	DET
ejpam-3519	206	7	risk	risk	NOUN
ejpam-3519	206	8	function	function	NOUN
ejpam-3519	206	9	:	:	PUNCT
ejpam-3519	206	10	case	case	NOUN
ejpam-3519	206	11	of	of	ADP
ejpam-3519	206	12	censored	censored	ADJ
ejpam-3519	206	13	data	datum	NOUN
ejpam-3519	206	14	in	in	ADP
ejpam-3519	206	15	this	this	DET
ejpam-3519	206	16	subsection	subsection	NOUN
ejpam-3519	206	17	,	,	PUNCT
ejpam-3519	206	18	we	we	PRON
ejpam-3519	206	19	drew	draw	VERB
ejpam-3519	206	20	on	on	ADP
ejpam-3519	206	21	the	the	DET
ejpam-3519	206	22	work	work	NOUN
ejpam-3519	206	23	of	of	ADP
ejpam-3519	206	24	[	[	X
ejpam-3519	206	25	22	22	NUM
ejpam-3519	206	26	]	]	PUNCT
ejpam-3519	206	27	.	.	PUNCT
ejpam-3519	207	1	let	let	VERB
ejpam-3519	207	2	the	the	DET
ejpam-3519	207	3	survival	survival	NOUN
ejpam-3519	207	4	durations	duration	NOUN
ejpam-3519	207	5	t1	t1	PROPN
ejpam-3519	207	6	,	,	PUNCT
ejpam-3519	207	7	t2	t2	NOUN
ejpam-3519	207	8	,	,	PUNCT
ejpam-3519	207	9	...	...	PUNCT
ejpam-3519	207	10	,	,	PUNCT
ejpam-3519	207	11	tn	tn	NOUN
ejpam-3519	207	12	of	of	ADP
ejpam-3519	207	13	distribution	distribution	NOUN
ejpam-3519	207	14	function	function	NOUN
ejpam-3519	207	15	f	f	PROPN
ejpam-3519	207	16	and	and	CCONJ
ejpam-3519	207	17	density	density	NOUN
ejpam-3519	207	18	f	f	PROPN
ejpam-3519	207	19	and	and	CCONJ
ejpam-3519	207	20	c1	c1	PROPN
ejpam-3519	207	21	,	,	PUNCT
ejpam-3519	207	22	c2	c2	PROPN
ejpam-3519	207	23	,	,	PUNCT
ejpam-3519	207	24	...	...	PUNCT
ejpam-3519	207	25	,	,	PUNCT
ejpam-3519	207	26	cn	cn	PROPN
ejpam-3519	207	27	the	the	DET
ejpam-3519	207	28	censorship	censorship	NOUN
ejpam-3519	207	29	random	random	ADJ
ejpam-3519	207	30	variables	variable	NOUN
ejpam-3519	207	31	and	and	CCONJ
ejpam-3519	207	32	fc	fc	VERB
ejpam-3519	207	33	their	their	PRON
ejpam-3519	207	34	distribution	distribution	NOUN
ejpam-3519	207	35	function	function	NOUN
ejpam-3519	207	36	.	.	PUNCT
ejpam-3519	208	1	it	it	PRON
ejpam-3519	208	2	is	be	AUX
ejpam-3519	208	3	assumed	assume	VERB
ejpam-3519	208	4	that	that	SCONJ
ejpam-3519	208	5	ti	ti	PROPN
ejpam-3519	208	6	are	be	AUX
ejpam-3519	208	7	independent	independent	ADJ
ejpam-3519	208	8	of	of	ADP
ejpam-3519	208	9	ci	ci	NOUN
ejpam-3519	208	10	for	for	ADP
ejpam-3519	208	11	all	all	DET
ejpam-3519	208	12	i	i	PRON
ejpam-3519	208	13	=	=	NOUN
ejpam-3519	208	14	1	1	NUM
ejpam-3519	208	15	,	,	PUNCT
ejpam-3519	208	16	...	...	PUNCT
ejpam-3519	208	17	,	,	PUNCT
ejpam-3519	208	18	n	n	CCONJ
ejpam-3519	209	1	and	and	CCONJ
ejpam-3519	209	2	we	we	PRON
ejpam-3519	209	3	observe	observe	VERB
ejpam-3519	209	4	xi	xi	X
ejpam-3519	209	5	=	=	SYM
ejpam-3519	209	6	ti	ti	PROPN
ejpam-3519	209	7	∧ci	∧ci	PROPN
ejpam-3519	209	8	and	and	CCONJ
ejpam-3519	209	9	di	di	X
ejpam-3519	209	10	=	=	NOUN
ejpam-3519	209	11	11{ti≤ci	11{ti≤ci	NUM
ejpam-3519	209	12	}	}	PUNCT
ejpam-3519	209	13	.	.	PUNCT
ejpam-3519	210	1	we	we	PRON
ejpam-3519	210	2	denote	denote	VERB
ejpam-3519	210	3	fx	fx	ADP
ejpam-3519	210	4	the	the	DET
ejpam-3519	210	5	density	density	NOUN
ejpam-3519	210	6	of	of	ADP
ejpam-3519	210	7	xi	xi	NOUN
ejpam-3519	210	8	and	and	CCONJ
ejpam-3519	210	9	fx	fx	VERB
ejpam-3519	210	10	their	their	PRON
ejpam-3519	210	11	distribution	distribution	NOUN
ejpam-3519	210	12	function	function	NOUN
ejpam-3519	210	13	.	.	PUNCT
ejpam-3519	211	1	recall	recall	VERB
ejpam-3519	211	2	that	that	SCONJ
ejpam-3519	211	3	the	the	DET
ejpam-3519	211	4	kernel	kernel	PROPN
ejpam-3519	211	5	estimator	estimator	NOUN
ejpam-3519	211	6	of	of	ADP
ejpam-3519	211	7	the	the	DET
ejpam-3519	211	8	risk	risk	NOUN
ejpam-3519	211	9	function	function	NOUN
ejpam-3519	211	10	of	of	ADP
ejpam-3519	211	11	tn	tn	NOUN
ejpam-3519	211	12	is	be	AUX
ejpam-3519	211	13	given	give	VERB
ejpam-3519	211	14	by	by	ADP
ejpam-3519	211	15	:	:	PUNCT
ejpam-3519	211	16	ĥn(t	ĥn(t	X
ejpam-3519	211	17	)	)	PUNCT
ejpam-3519	212	1	=	=	SYM
ejpam-3519	212	2	n∑	n∑	NOUN
ejpam-3519	212	3	j=1	j=1	PROPN
ejpam-3519	212	4	d(j	d(j	ADJ
ejpam-3519	212	5	)	)	PUNCT
ejpam-3519	212	6	n−	n−	PROPN
ejpam-3519	212	7	j	j	NOUN
ejpam-3519	212	8	+	+	CCONJ
ejpam-3519	212	9	1	1	NUM
ejpam-3519	212	10	kbn(t−x(j	kbn(t−x(j	NOUN
ejpam-3519	212	11	)	)	PUNCT
ejpam-3519	212	12	)	)	PUNCT
ejpam-3519	213	1	=	=	PUNCT
ejpam-3519	214	1	n∑	n∑	PROPN
ejpam-3519	214	2	i=1	i=1	PROPN
ejpam-3519	214	3	d(i	d(i	PROPN
ejpam-3519	214	4	)	)	PUNCT
ejpam-3519	214	5	n−ri	n−ri	X
ejpam-3519	214	6	+	+	CCONJ
ejpam-3519	214	7	1	1	NUM
ejpam-3519	214	8	kbn(t−xi	kbn(t−xi	NOUN
ejpam-3519	214	9	)	)	PUNCT
ejpam-3519	214	10	,	,	PUNCT
ejpam-3519	214	11	(	(	PUNCT
ejpam-3519	214	12	26	26	NUM
ejpam-3519	214	13	)	)	PUNCT
ejpam-3519	214	14	d.	d.	PROPN
ejpam-3519	214	15	a.	a.	PROPN
ejpam-3519	214	16	n.	n.	PROPN
ejpam-3519	214	17	njamen	njamen	PROPN
ejpam-3519	214	18	,	,	PUNCT
ejpam-3519	214	19	h.	h.	PROPN
ejpam-3519	214	20	c.	c.	PROPN
ejpam-3519	214	21	yayebga	yayebga	PROPN
ejpam-3519	214	22	/	/	SYM
ejpam-3519	214	23	eur	eur	PROPN
ejpam-3519	214	24	.	.	PUNCT
ejpam-3519	215	1	j.	j.	PROPN
ejpam-3519	215	2	pure	pure	PROPN
ejpam-3519	215	3	appl	appl	PROPN
ejpam-3519	215	4	.	.	PROPN
ejpam-3519	215	5	math	math	PROPN
ejpam-3519	215	6	,	,	PUNCT
ejpam-3519	215	7	12	12	NUM
ejpam-3519	215	8	(	(	PUNCT
ejpam-3519	215	9	4	4	NUM
ejpam-3519	215	10	)	)	PUNCT
ejpam-3519	215	11	(	(	PUNCT
ejpam-3519	215	12	2019	2019	NUM
ejpam-3519	215	13	)	)	PUNCT
ejpam-3519	215	14	,	,	PUNCT
ejpam-3519	215	15	1612	1612	NUM
ejpam-3519	215	16	-	-	SYM
ejpam-3519	215	17	1642	1642	NUM
ejpam-3519	215	18	1622	1622	NUM
ejpam-3519	215	19	where	where	SCONJ
ejpam-3519	215	20	x(1	x(1	PROPN
ejpam-3519	215	21	)	)	PUNCT
ejpam-3519	215	22	,	,	PUNCT
ejpam-3519	215	23	x(2	x(2	PROPN
ejpam-3519	215	24	)	)	PUNCT
ejpam-3519	215	25	,	,	PUNCT
ejpam-3519	215	26	...	...	PUNCT
ejpam-3519	215	27	,	,	PUNCT
ejpam-3519	215	28	x(n	x(n	NOUN
ejpam-3519	215	29	)	)	PUNCT
ejpam-3519	215	30	is	be	AUX
ejpam-3519	215	31	the	the	DET
ejpam-3519	215	32	statistic	statistic	NOUN
ejpam-3519	215	33	of	of	ADP
ejpam-3519	215	34	order	order	NOUN
ejpam-3519	215	35	and	and	CCONJ
ejpam-3519	215	36	ri	ri	X
ejpam-3519	215	37	the	the	DET
ejpam-3519	215	38	rank	rank	NOUN
ejpam-3519	215	39	of	of	ADP
ejpam-3519	215	40	xi	xi	PROPN
ejpam-3519	215	41	.	.	PUNCT
ejpam-3519	216	1	this	this	DET
ejpam-3519	216	2	estimator	estimator	NOUN
ejpam-3519	216	3	appeared	appear	VERB
ejpam-3519	216	4	for	for	ADP
ejpam-3519	216	5	the	the	DET
ejpam-3519	216	6	first	first	ADJ
ejpam-3519	216	7	time	time	NOUN
ejpam-3519	216	8	in	in	ADP
ejpam-3519	216	9	the	the	DET
ejpam-3519	216	10	work	work	NOUN
ejpam-3519	216	11	of	of	ADP
ejpam-3519	216	12	[	[	X
ejpam-3519	216	13	25	25	NUM
ejpam-3519	216	14	]	]	PUNCT
ejpam-3519	216	15	and	and	CCONJ
ejpam-3519	216	16	developed	develop	VERB
ejpam-3519	216	17	[	[	X
ejpam-3519	216	18	18	18	NUM
ejpam-3519	216	19	]	]	PUNCT
ejpam-3519	216	20	.	.	PUNCT
ejpam-3519	217	1	for	for	ADP
ejpam-3519	217	2	the	the	DET
ejpam-3519	217	3	rest	rest	NOUN
ejpam-3519	217	4	,	,	PUNCT
ejpam-3519	217	5	we	we	PRON
ejpam-3519	217	6	assume	assume	VERB
ejpam-3519	217	7	that	that	SCONJ
ejpam-3519	217	8	:	:	PUNCT
ejpam-3519	217	9	(	(	PUNCT
ejpam-3519	217	10	i	i	NOUN
ejpam-3519	217	11	)	)	PUNCT
ejpam-3519	217	12	the	the	DET
ejpam-3519	217	13	risk	risk	NOUN
ejpam-3519	217	14	function	function	NOUN
ejpam-3519	217	15	h	h	NOUN
ejpam-3519	217	16	is	be	AUX
ejpam-3519	217	17	continuous	continuous	ADJ
ejpam-3519	217	18	and	and	CCONJ
ejpam-3519	217	19	0	0	NUM
ejpam-3519	218	1	<	<	X
ejpam-3519	218	2	f	f	X
ejpam-3519	218	3	(	(	PUNCT
ejpam-3519	218	4	y	y	NOUN
ejpam-3519	218	5	)	)	PUNCT
ejpam-3519	218	6	<	<	X
ejpam-3519	218	7	1	1	X
ejpam-3519	218	8	.	.	PUNCT
ejpam-3519	218	9	(	(	PUNCT
ejpam-3519	218	10	ii	ii	NOUN
ejpam-3519	218	11	)	)	PUNCT
ejpam-3519	218	12	the	the	DET
ejpam-3519	218	13	kernel	kernel	PROPN
ejpam-3519	219	1	k	k	PROPN
ejpam-3519	219	2	is	be	AUX
ejpam-3519	219	3	symmetric	symmetric	ADJ
ejpam-3519	219	4	,	,	PUNCT
ejpam-3519	219	5	positive	positive	ADJ
ejpam-3519	219	6	and	and	CCONJ
ejpam-3519	219	7	k(t	k(t	PROPN
ejpam-3519	219	8	)	)	PUNCT
ejpam-3519	219	9	=	=	SYM
ejpam-3519	219	10	o(t−1	o(t−1	PROPN
ejpam-3519	219	11	)	)	PUNCT
ejpam-3519	219	12	when	when	SCONJ
ejpam-3519	219	13	t	t	PROPN
ejpam-3519	219	14	→	→	SYM
ejpam-3519	219	15	+	+	PROPN
ejpam-3519	219	16	∞	∞	NUM
ejpam-3519	219	17	and∫	and∫	X
ejpam-3519	219	18	k(t)dt	k(t)dt	PROPN
ejpam-3519	220	1	=	=	SYM
ejpam-3519	221	1	1	1	NUM
ejpam-3519	221	2	.	.	NUM
ejpam-3519	222	1	4.4	4.4	NUM
ejpam-3519	222	2	.	.	PUNCT
ejpam-3519	223	1	mean	mean	VERB
ejpam-3519	223	2	and	and	CCONJ
ejpam-3519	223	3	variance	variance	NOUN
ejpam-3519	223	4	of	of	ADP
ejpam-3519	223	5	the	the	DET
ejpam-3519	223	6	estimator	estimator	NOUN
ejpam-3519	223	7	ĥn	ĥn	PROPN
ejpam-3519	223	8	let	let	VERB
ejpam-3519	223	9	m(y	m(y	PRON
ejpam-3519	223	10	)	)	PUNCT
ejpam-3519	223	11	=	=	SYM
ejpam-3519	223	12	f(y	f(y	NOUN
ejpam-3519	223	13	)	)	PUNCT
ejpam-3519	224	1	[	[	X
ejpam-3519	224	2	1−	1−	NUM
ejpam-3519	224	3	fc(y	fc(y	NOUN
ejpam-3519	224	4	)	)	PUNCT
ejpam-3519	224	5	]	]	PUNCT
ejpam-3519	224	6	fx(y	fx(y	NOUN
ejpam-3519	224	7	)	)	PUNCT
ejpam-3519	224	8	with	with	ADP
ejpam-3519	224	9	fx(y	fx(y	NOUN
ejpam-3519	224	10	)	)	PUNCT
ejpam-3519	224	11	>	>	X
ejpam-3519	225	1	0	0	X
ejpam-3519	225	2	.	.	PUNCT
ejpam-3519	225	3	to	to	PART
ejpam-3519	225	4	determine	determine	VERB
ejpam-3519	225	5	the	the	DET
ejpam-3519	225	6	mean	mean	NOUN
ejpam-3519	225	7	and	and	CCONJ
ejpam-3519	225	8	the	the	DET
ejpam-3519	225	9	variance	variance	NOUN
ejpam-3519	225	10	of	of	ADP
ejpam-3519	225	11	ĥn	ĥn	PROPN
ejpam-3519	225	12	,	,	PUNCT
ejpam-3519	225	13	we	we	PRON
ejpam-3519	225	14	need	need	VERB
ejpam-3519	225	15	the	the	DET
ejpam-3519	225	16	following	follow	VERB
ejpam-3519	225	17	lemma	lemma	PROPN
ejpam-3519	225	18	:	:	PUNCT
ejpam-3519	225	19	lemma	lemma	PROPN
ejpam-3519	225	20	1	1	NUM
ejpam-3519	225	21	.	.	PUNCT
ejpam-3519	226	1	(	(	PUNCT
ejpam-3519	226	2	[	[	X
ejpam-3519	226	3	22	22	NUM
ejpam-3519	226	4	]	]	PUNCT
ejpam-3519	226	5	)	)	PUNCT
ejpam-3519	226	6	for	for	ADP
ejpam-3519	226	7	all	all	DET
ejpam-3519	226	8	j	j	NOUN
ejpam-3519	226	9	,	,	PUNCT
ejpam-3519	226	10	we	we	PRON
ejpam-3519	226	11	have	have	AUX
ejpam-3519	226	12	:	:	PUNCT
ejpam-3519	226	13	e(d(j)/x(j	e(d(j)/x(j	NUM
ejpam-3519	226	14	)	)	PUNCT
ejpam-3519	227	1	=	=	SYM
ejpam-3519	227	2	y	y	X
ejpam-3519	227	3	)	)	PUNCT
ejpam-3519	227	4	=	=	SYM
ejpam-3519	227	5	m(y	m(y	NOUN
ejpam-3519	227	6	)	)	PUNCT
ejpam-3519	227	7	,	,	PUNCT
ejpam-3519	227	8	(	(	PUNCT
ejpam-3519	227	9	27	27	NUM
ejpam-3519	227	10	)	)	PUNCT
ejpam-3519	227	11	and	and	CCONJ
ejpam-3519	227	12	for	for	ADP
ejpam-3519	227	13	all	all	DET
ejpam-3519	227	14	r	r	NOUN
ejpam-3519	227	15	<	<	X
ejpam-3519	227	16	s	s	X
ejpam-3519	227	17	,	,	PUNCT
ejpam-3519	227	18	y	y	PROPN
ejpam-3519	227	19	<	<	X
ejpam-3519	227	20	z	z	X
ejpam-3519	227	21	,	,	PUNCT
ejpam-3519	227	22	we	we	PRON
ejpam-3519	227	23	have	have	VERB
ejpam-3519	227	24	:	:	PUNCT
ejpam-3519	227	25	e(d(r)d(s)/x(r	e(d(r)d(s)/x(r	X
ejpam-3519	227	26	)	)	PUNCT
ejpam-3519	227	27	=	=	SYM
ejpam-3519	227	28	y	y	PROPN
ejpam-3519	227	29	,	,	PUNCT
ejpam-3519	227	30	x(s	x(s	PROPN
ejpam-3519	227	31	)	)	PUNCT
ejpam-3519	227	32	=	=	PUNCT
ejpam-3519	228	1	z	z	X
ejpam-3519	228	2	)	)	PUNCT
ejpam-3519	228	3	=	=	SYM
ejpam-3519	228	4	m(y)m(z	m(y)m(z	NOUN
ejpam-3519	228	5	)	)	PUNCT
ejpam-3519	228	6	.	.	PUNCT
ejpam-3519	229	1	(	(	PUNCT
ejpam-3519	229	2	28	28	NUM
ejpam-3519	229	3	)	)	PUNCT
ejpam-3519	229	4	the	the	DET
ejpam-3519	229	5	following	follow	VERB
ejpam-3519	229	6	theorem	theorem	NOUN
ejpam-3519	229	7	gives	give	VERB
ejpam-3519	229	8	the	the	DET
ejpam-3519	229	9	mean	mean	NOUN
ejpam-3519	229	10	and	and	CCONJ
ejpam-3519	229	11	the	the	DET
ejpam-3519	229	12	variance	variance	NOUN
ejpam-3519	229	13	of	of	ADP
ejpam-3519	229	14	ĥn	ĥn	PROPN
ejpam-3519	229	15	.	.	PUNCT
ejpam-3519	230	1	theorem	theorem	PROPN
ejpam-3519	230	2	3	3	NUM
ejpam-3519	230	3	.	.	PUNCT
ejpam-3519	231	1	(	(	PUNCT
ejpam-3519	231	2	[	[	X
ejpam-3519	231	3	22	22	NUM
ejpam-3519	231	4	]	]	PUNCT
ejpam-3519	231	5	)	)	PUNCT
ejpam-3519	231	6	we	we	PRON
ejpam-3519	231	7	have	have	VERB
ejpam-3519	231	8	:	:	PUNCT
ejpam-3519	231	9	e	e	X
ejpam-3519	231	10	(	(	PUNCT
ejpam-3519	231	11	ĥn(t	ĥn(t	NOUN
ejpam-3519	231	12	)	)	PUNCT
ejpam-3519	231	13	)	)	PUNCT
ejpam-3519	232	1	=	=	SYM
ejpam-3519	232	2	∫	∫	PROPN
ejpam-3519	232	3	(	(	PUNCT
ejpam-3519	232	4	1−	1−	NUM
ejpam-3519	232	5	fnx(y))h(y)kbn(t−	fnx(y))h(y)kbn(t−	NOUN
ejpam-3519	232	6	y)dy	y)dy	PROPN
ejpam-3519	232	7	,	,	PUNCT
ejpam-3519	232	8	(	(	PUNCT
ejpam-3519	232	9	29	29	NUM
ejpam-3519	232	10	)	)	PUNCT
ejpam-3519	232	11	and	and	CCONJ
ejpam-3519	232	12	,	,	PUNCT
ejpam-3519	232	13	v	v	PROPN
ejpam-3519	232	14	(	(	PUNCT
ejpam-3519	232	15	ĥn(t	ĥn(t	NOUN
ejpam-3519	232	16	)	)	PUNCT
ejpam-3519	232	17	)	)	PUNCT
ejpam-3519	233	1	=	=	SYM
ejpam-3519	233	2	∫	∫	PROPN
ejpam-3519	233	3	in	in	ADP
ejpam-3519	233	4	(	(	PUNCT
ejpam-3519	233	5	fx(y))h(y)k2	fx(y))h(y)k2	X
ejpam-3519	233	6	bn(t−	bn(t−	PROPN
ejpam-3519	234	1	y)dy	y)dy	PROPN
ejpam-3519	234	2	+	+	CCONJ
ejpam-3519	234	3	2	2	NUM
ejpam-3519	234	4	∫	∫	NOUN
ejpam-3519	234	5	∫	∫	PROPN
ejpam-3519	234	6	y≤z	y≤z	PROPN
ejpam-3519	234	7	{	{	PUNCT
ejpam-3519	234	8	fnx(z)−	fnx(z)−	PROPN
ejpam-3519	234	9	fnx(y)fnx(z	fnx(y)fnx(z	PROPN
ejpam-3519	234	10	)	)	PUNCT
ejpam-3519	234	11	(	(	PUNCT
ejpam-3519	234	12	30	30	NUM
ejpam-3519	234	13	)	)	PUNCT
ejpam-3519	234	14	−	−	PROPN
ejpam-3519	234	15	1−	1−	NUM
ejpam-3519	234	16	fx(y	fx(y	NOUN
ejpam-3519	234	17	)	)	PUNCT
ejpam-3519	234	18	fx(z)−	fx(z)−	NOUN
ejpam-3519	234	19	fx(y	fx(y	NOUN
ejpam-3519	234	20	)	)	PUNCT
ejpam-3519	235	1	[	[	X
ejpam-3519	235	2	fnx(z)−	fnx(z)−	PROPN
ejpam-3519	235	3	fnx(y)]}h(y)h(z)kbn(t−	fnx(y)]}h(y)h(z)kbn(t−	PROPN
ejpam-3519	235	4	y)kbn(t−	y)kbn(t−	NOUN
ejpam-3519	235	5	z)dydz,(31	z)dydz,(31	NOUN
ejpam-3519	235	6	)	)	PUNCT
ejpam-3519	235	7	where	where	SCONJ
ejpam-3519	235	8	in(fx	in(fx	NOUN
ejpam-3519	235	9	)	)	PUNCT
ejpam-3519	235	10	=	=	SYM
ejpam-3519	235	11	n∑	n∑	NOUN
ejpam-3519	235	12	k=0	k=0	PROPN
ejpam-3519	235	13	(	(	PUNCT
ejpam-3519	235	14	n−	n−	NOUN
ejpam-3519	235	15	k)−1cknf	k)−1cknf	PROPN
ejpam-3519	235	16	k	k	PROPN
ejpam-3519	235	17	x(1−	x(1−	PROPN
ejpam-3519	235	18	f	f	PROPN
ejpam-3519	235	19	)	)	PUNCT
ejpam-3519	235	20	n−k	n−k	PROPN
ejpam-3519	235	21	.	.	PUNCT
ejpam-3519	236	1	d.	d.	PROPN
ejpam-3519	236	2	a.	a.	PROPN
ejpam-3519	236	3	n.	n.	PROPN
ejpam-3519	236	4	njamen	njamen	PROPN
ejpam-3519	236	5	,	,	PUNCT
ejpam-3519	236	6	h.	h.	PROPN
ejpam-3519	236	7	c.	c.	PROPN
ejpam-3519	236	8	yayebga	yayebga	PROPN
ejpam-3519	236	9	/	/	SYM
ejpam-3519	236	10	eur	eur	PROPN
ejpam-3519	236	11	.	.	PUNCT
ejpam-3519	237	1	j.	j.	PROPN
ejpam-3519	237	2	pure	pure	PROPN
ejpam-3519	237	3	appl	appl	PROPN
ejpam-3519	237	4	.	.	PROPN
ejpam-3519	237	5	math	math	PROPN
ejpam-3519	237	6	,	,	PUNCT
ejpam-3519	237	7	12	12	NUM
ejpam-3519	237	8	(	(	PUNCT
ejpam-3519	237	9	4	4	NUM
ejpam-3519	237	10	)	)	PUNCT
ejpam-3519	237	11	(	(	PUNCT
ejpam-3519	237	12	2019	2019	NUM
ejpam-3519	237	13	)	)	PUNCT
ejpam-3519	237	14	,	,	PUNCT
ejpam-3519	237	15	1612	1612	NUM
ejpam-3519	237	16	-	-	SYM
ejpam-3519	237	17	1642	1642	NUM
ejpam-3519	237	18	1623	1623	NUM
ejpam-3519	237	19	5	5	NUM
ejpam-3519	237	20	.	.	PUNCT
ejpam-3519	238	1	mean	mean	VERB
ejpam-3519	238	2	squared	square	VERB
ejpam-3519	238	3	error	error	NOUN
ejpam-3519	238	4	in	in	ADP
ejpam-3519	238	5	statistics	statistic	NOUN
ejpam-3519	238	6	,	,	PUNCT
ejpam-3519	238	7	the	the	DET
ejpam-3519	238	8	mean	mean	NOUN
ejpam-3519	238	9	squared	square	VERB
ejpam-3519	238	10	error	error	NOUN
ejpam-3519	238	11	(	(	PUNCT
ejpam-3519	238	12	mse	mse	NOUN
ejpam-3519	238	13	)	)	PUNCT
ejpam-3519	238	14	of	of	ADP
ejpam-3519	238	15	an	an	DET
ejpam-3519	238	16	estimator	estimator	NOUN
ejpam-3519	238	17	θ̂	θ̂	VERB
ejpam-3519	238	18	with	with	ADP
ejpam-3519	238	19	a	a	DET
ejpam-3519	238	20	parameter	parameter	NOUN
ejpam-3519	238	21	θ	θ	PROPN
ejpam-3519	238	22	of	of	ADP
ejpam-3519	238	23	dimension	dimension	NOUN
ejpam-3519	238	24	1	1	NUM
ejpam-3519	238	25	is	be	AUX
ejpam-3519	238	26	a	a	DET
ejpam-3519	238	27	measure	measure	NOUN
ejpam-3519	238	28	characterizing	characterize	VERB
ejpam-3519	238	29	the	the	DET
ejpam-3519	238	30	precision	precision	NOUN
ejpam-3519	238	31	of	of	ADP
ejpam-3519	238	32	this	this	DET
ejpam-3519	238	33	estimator	estimator	NOUN
ejpam-3519	238	34	.	.	PUNCT
ejpam-3519	239	1	it	it	PRON
ejpam-3519	239	2	is	be	AUX
ejpam-3519	239	3	more	more	ADV
ejpam-3519	239	4	often	often	ADV
ejpam-3519	239	5	called	call	VERB
ejpam-3519	239	6	quadratic	quadratic	ADJ
ejpam-3519	239	7	risk	risk	NOUN
ejpam-3519	239	8	.	.	PUNCT
ejpam-3519	240	1	definition	definition	NOUN
ejpam-3519	240	2	6	6	NUM
ejpam-3519	240	3	.	.	PUNCT
ejpam-3519	241	1	the	the	DET
ejpam-3519	241	2	mean	mean	ADJ
ejpam-3519	241	3	squared	square	VERB
ejpam-3519	241	4	error	error	NOUN
ejpam-3519	241	5	is	be	AUX
ejpam-3519	241	6	defined	define	VERB
ejpam-3519	241	7	by	by	ADP
ejpam-3519	241	8	:	:	PUNCT
ejpam-3519	241	9	mse(θ̂	mse(θ̂	ADJ
ejpam-3519	241	10	)	)	PUNCT
ejpam-3519	241	11	=	=	SYM
ejpam-3519	241	12	e	e	X
ejpam-3519	241	13	[	[	PUNCT
ejpam-3519	241	14	(	(	PUNCT
ejpam-3519	241	15	θ̂	θ̂	X
ejpam-3519	241	16	−	−	PROPN
ejpam-3519	241	17	θ)2	θ)2	NOUN
ejpam-3519	241	18	]	]	PUNCT
ejpam-3519	241	19	.	.	PUNCT
ejpam-3519	242	1	(	(	PUNCT
ejpam-3519	242	2	32	32	NUM
ejpam-3519	242	3	)	)	PUNCT
ejpam-3519	242	4	mean	mean	VERB
ejpam-3519	242	5	squared	square	VERB
ejpam-3519	242	6	error	error	NOUN
ejpam-3519	242	7	can	can	AUX
ejpam-3519	242	8	be	be	AUX
ejpam-3519	242	9	expressed	express	VERB
ejpam-3519	242	10	as	as	ADP
ejpam-3519	242	11	a	a	DET
ejpam-3519	242	12	function	function	NOUN
ejpam-3519	242	13	of	of	ADP
ejpam-3519	242	14	bias	bias	NOUN
ejpam-3519	242	15	and	and	CCONJ
ejpam-3519	242	16	the	the	DET
ejpam-3519	242	17	variance	variance	NOUN
ejpam-3519	242	18	of	of	ADP
ejpam-3519	242	19	the	the	DET
ejpam-3519	242	20	estimator	estimator	NOUN
ejpam-3519	242	21	hence	hence	ADV
ejpam-3519	242	22	the	the	DET
ejpam-3519	242	23	following	follow	VERB
ejpam-3519	242	24	theorem	theorem	NOUN
ejpam-3519	242	25	:	:	PUNCT
ejpam-3519	242	26	theorem	theorem	NOUN
ejpam-3519	242	27	4	4	NUM
ejpam-3519	242	28	.	.	PUNCT
ejpam-3519	243	1	(	(	PUNCT
ejpam-3519	243	2	[	[	X
ejpam-3519	243	3	5	5	NUM
ejpam-3519	243	4	]	]	SYM
ejpam-3519	243	5	)	)	PUNCT
ejpam-3519	243	6	mse(θ̂	mse(θ̂	PROPN
ejpam-3519	243	7	)	)	PUNCT
ejpam-3519	243	8	=	=	SYM
ejpam-3519	243	9	biais(θ̂)2	biais(θ̂)2	NOUN
ejpam-3519	243	10	+	+	CCONJ
ejpam-3519	243	11	v	v	NOUN
ejpam-3519	243	12	ar(θ̂	ar(θ̂	NUM
ejpam-3519	243	13	)	)	PUNCT
ejpam-3519	243	14	.	.	PUNCT
ejpam-3519	244	1	(	(	PUNCT
ejpam-3519	244	2	33	33	NUM
ejpam-3519	244	3	)	)	PUNCT
ejpam-3519	244	4	remark	remark	NOUN
ejpam-3519	244	5	6	6	NUM
ejpam-3519	244	6	.	.	PUNCT
ejpam-3519	245	1	as	as	SCONJ
ejpam-3519	245	2	the	the	DET
ejpam-3519	245	3	name	name	NOUN
ejpam-3519	245	4	suggests	suggest	VERB
ejpam-3519	245	5	,	,	PUNCT
ejpam-3519	245	6	the	the	DET
ejpam-3519	245	7	mean	mean	NOUN
ejpam-3519	245	8	integrated	integrate	VERB
ejpam-3519	245	9	squared	square	VERB
ejpam-3519	245	10	error	error	NOUN
ejpam-3519	245	11	(	(	PUNCT
ejpam-3519	245	12	mise	mise	X
ejpam-3519	245	13	)	)	PUNCT
ejpam-3519	245	14	is	be	AUX
ejpam-3519	245	15	in	in	ADP
ejpam-3519	245	16	fact	fact	NOUN
ejpam-3519	245	17	the	the	DET
ejpam-3519	245	18	integration	integration	NOUN
ejpam-3519	245	19	made	make	VERB
ejpam-3519	245	20	on	on	ADP
ejpam-3519	245	21	the	the	DET
ejpam-3519	245	22	mean	mean	ADJ
ejpam-3519	245	23	squared	square	VERB
ejpam-3519	245	24	error	error	NOUN
ejpam-3519	245	25	.	.	PUNCT
ejpam-3519	246	1	6	6	NUM
ejpam-3519	246	2	.	.	NOUN
ejpam-3519	246	3	probability	probability	NOUN
ejpam-3519	246	4	density	density	NOUN
ejpam-3519	246	5	and	and	CCONJ
ejpam-3519	246	6	risk	risk	NOUN
ejpam-3519	246	7	function	function	NOUN
ejpam-3519	246	8	of	of	ADP
ejpam-3519	246	9	the	the	DET
ejpam-3519	246	10	circular	circular	ADJ
ejpam-3519	246	11	kernel	kernel	NOUN
ejpam-3519	246	12	in	in	ADP
ejpam-3519	246	13	this	this	DET
ejpam-3519	246	14	section	section	NOUN
ejpam-3519	246	15	,	,	PUNCT
ejpam-3519	246	16	we	we	PRON
ejpam-3519	246	17	consider	consider	VERB
ejpam-3519	246	18	a	a	DET
ejpam-3519	246	19	sequence	sequence	NOUN
ejpam-3519	246	20	(	(	PUNCT
ejpam-3519	246	21	xi	xi	NOUN
ejpam-3519	246	22	)	)	PUNCT
ejpam-3519	246	23	n	n	NOUN
ejpam-3519	246	24	i=1	i=1	PROPN
ejpam-3519	246	25	of	of	ADP
ejpam-3519	246	26	random	random	ADJ
ejpam-3519	246	27	variables	variable	NOUN
ejpam-3519	246	28	according	accord	VERB
ejpam-3519	246	29	to	to	ADP
ejpam-3519	246	30	an	an	DET
ejpam-3519	246	31	unknown	unknown	ADJ
ejpam-3519	246	32	probability	probability	NOUN
ejpam-3519	246	33	density	density	NOUN
ejpam-3519	246	34	f	f	PROPN
ejpam-3519	246	35	and	and	CCONJ
ejpam-3519	246	36	such	such	ADJ
ejpam-3519	246	37	that	that	SCONJ
ejpam-3519	246	38	f	f	PROPN
ejpam-3519	246	39	has	have	VERB
ejpam-3519	246	40	a	a	DET
ejpam-3519	246	41	continuous	continuous	ADJ
ejpam-3519	246	42	second	second	ADJ
ejpam-3519	246	43	derivative	derivative	NOUN
ejpam-3519	246	44	.	.	PUNCT
ejpam-3519	247	1	moreover	moreover	ADV
ejpam-3519	247	2	,	,	PUNCT
ejpam-3519	247	3	we	we	PRON
ejpam-3519	247	4	work	work	VERB
ejpam-3519	247	5	within	within	ADP
ejpam-3519	247	6	the	the	DET
ejpam-3519	247	7	strict	strict	ADJ
ejpam-3519	247	8	case	case	NOUN
ejpam-3519	247	9	of	of	ADP
ejpam-3519	247	10	non	non	ADJ
ejpam-3519	247	11	censored	censored	ADJ
ejpam-3519	247	12	data	datum	NOUN
ejpam-3519	247	13	.	.	PUNCT
ejpam-3519	248	1	6.1	6.1	NUM
ejpam-3519	248	2	.	.	PUNCT
ejpam-3519	248	3	circular	circular	ADJ
ejpam-3519	248	4	kernel	kernel	NOUN
ejpam-3519	248	5	the	the	DET
ejpam-3519	248	6	circular	circular	ADJ
ejpam-3519	248	7	kernel	kernel	NOUN
ejpam-3519	248	8	still	still	ADV
ejpam-3519	248	9	called	call	VERB
ejpam-3519	248	10	the	the	DET
ejpam-3519	248	11	cosine	cosine	NOUN
ejpam-3519	248	12	kernel	kernel	NOUN
ejpam-3519	248	13	is	be	AUX
ejpam-3519	248	14	defined	define	VERB
ejpam-3519	248	15	by	by	ADP
ejpam-3519	248	16	:	:	PUNCT
ejpam-3519	248	17	k(t	k(t	X
ejpam-3519	248	18	)	)	PUNCT
ejpam-3519	249	1	=	=	PUNCT
ejpam-3519	249	2	π	π	X
ejpam-3519	249	3	4	4	NUM
ejpam-3519	249	4	cos	cos	PROPN
ejpam-3519	249	5	(	(	PUNCT
ejpam-3519	249	6	π	π	PROPN
ejpam-3519	249	7	2	2	NUM
ejpam-3519	249	8	t	t	NOUN
ejpam-3519	249	9	)	)	PUNCT
ejpam-3519	249	10	.11{|u|≤1	.11{|u|≤1	PUNCT
ejpam-3519	249	11	}	}	PUNCT
ejpam-3519	249	12	.	.	PUNCT
ejpam-3519	250	1	(	(	PUNCT
ejpam-3519	250	2	34	34	NUM
ejpam-3519	250	3	)	)	PUNCT
ejpam-3519	250	4	the	the	DET
ejpam-3519	250	5	expectation	expectation	NOUN
ejpam-3519	250	6	and	and	CCONJ
ejpam-3519	250	7	variance	variance	NOUN
ejpam-3519	250	8	of	of	ADP
ejpam-3519	250	9	the	the	DET
ejpam-3519	250	10	circular	circular	ADJ
ejpam-3519	250	11	kernel	kernel	NOUN
ejpam-3519	250	12	,	,	PUNCT
ejpam-3519	250	13	were	be	AUX
ejpam-3519	250	14	defined	define	VERB
ejpam-3519	250	15	by	by	ADP
ejpam-3519	250	16	[	[	X
ejpam-3519	250	17	3	3	NUM
ejpam-3519	250	18	]	]	PUNCT
ejpam-3519	250	19	.	.	PUNCT
ejpam-3519	251	1	proposition	proposition	NOUN
ejpam-3519	251	2	3	3	X
ejpam-3519	251	3	.	.	PUNCT
ejpam-3519	252	1	let	let	VERB
ejpam-3519	252	2	x	x	PRON
ejpam-3519	252	3	be	be	AUX
ejpam-3519	252	4	a	a	DET
ejpam-3519	252	5	random	random	ADJ
ejpam-3519	252	6	variable	variable	NOUN
ejpam-3519	252	7	following	follow	VERB
ejpam-3519	252	8	a	a	DET
ejpam-3519	252	9	circular	circular	ADJ
ejpam-3519	252	10	law	law	NOUN
ejpam-3519	252	11	then	then	ADV
ejpam-3519	252	12	its	its	PRON
ejpam-3519	252	13	expectation	expectation	NOUN
ejpam-3519	252	14	and	and	CCONJ
ejpam-3519	252	15	its	its	PRON
ejpam-3519	252	16	variance	variance	NOUN
ejpam-3519	252	17	are	be	AUX
ejpam-3519	252	18	given	give	VERB
ejpam-3519	252	19	by	by	ADP
ejpam-3519	252	20	:	:	PUNCT
ejpam-3519	252	21	•	•	NUM
ejpam-3519	252	22	e(x	e(x	NUM
ejpam-3519	252	23	)	)	PUNCT
ejpam-3519	253	1	=	=	SYM
ejpam-3519	253	2	0	0	NUM
ejpam-3519	253	3	•	•	NOUN
ejpam-3519	253	4	v(x	v(x	PROPN
ejpam-3519	253	5	)	)	PUNCT
ejpam-3519	253	6	=	=	SYM
ejpam-3519	254	1	1−	1−	NUM
ejpam-3519	254	2	8	8	NUM
ejpam-3519	254	3	π2	π2	NOUN
ejpam-3519	254	4	.	.	PUNCT
ejpam-3519	255	1	6.2	6.2	NUM
ejpam-3519	255	2	.	.	PUNCT
ejpam-3519	255	3	circular	circular	ADJ
ejpam-3519	255	4	kernel	kernel	PROPN
ejpam-3519	255	5	estimator	estimator	NOUN
ejpam-3519	255	6	the	the	DET
ejpam-3519	255	7	density	density	NOUN
ejpam-3519	255	8	estimator	estimator	NOUN
ejpam-3519	255	9	probability	probability	PROPN
ejpam-3519	255	10	f	f	PROPN
ejpam-3519	255	11	associated	associate	VERB
ejpam-3519	255	12	to	to	ADP
ejpam-3519	255	13	a	a	DET
ejpam-3519	255	14	circular	circular	ADJ
ejpam-3519	255	15	kernel	kernel	NOUN
ejpam-3519	255	16	is	be	AUX
ejpam-3519	255	17	given	give	VERB
ejpam-3519	255	18	by	by	ADP
ejpam-3519	255	19	:	:	PUNCT
ejpam-3519	255	20	f̂(x	f̂(x	ADJ
ejpam-3519	255	21	)	)	PUNCT
ejpam-3519	255	22	=	=	SYM
ejpam-3519	255	23	1	1	NUM
ejpam-3519	255	24	nbn	nbn	NOUN
ejpam-3519	255	25	n∑	n∑	NOUN
ejpam-3519	255	26	i=1	i=1	PROPN
ejpam-3519	256	1	k	k	X
ejpam-3519	256	2	(	(	PUNCT
ejpam-3519	256	3	xi	xi	X
ejpam-3519	256	4	−	−	PROPN
ejpam-3519	256	5	x	x	SYM
ejpam-3519	256	6	bn	bn	NOUN
ejpam-3519	256	7	)	)	PUNCT
ejpam-3519	256	8	=	=	SYM
ejpam-3519	256	9	1	1	NUM
ejpam-3519	256	10	nbn	nbn	NOUN
ejpam-3519	256	11	n∑	n∑	NOUN
ejpam-3519	256	12	i=1	i=1	PROPN
ejpam-3519	257	1	π	π	PROPN
ejpam-3519	257	2	4	4	NUM
ejpam-3519	257	3	cos	cos	PROPN
ejpam-3519	257	4	[	[	PUNCT
ejpam-3519	257	5	π	π	PROPN
ejpam-3519	257	6	2	2	NUM
ejpam-3519	257	7	(	(	PUNCT
ejpam-3519	257	8	x−	x−	PROPN
ejpam-3519	257	9	xi	xi	PROPN
ejpam-3519	257	10	bn	bn	PROPN
ejpam-3519	257	11	)	)	PUNCT
ejpam-3519	257	12	]	]	PUNCT
ejpam-3519	257	13	.	.	PUNCT
ejpam-3519	258	1	(	(	PUNCT
ejpam-3519	258	2	35	35	NUM
ejpam-3519	258	3	)	)	PUNCT
ejpam-3519	258	4	d.	d.	PROPN
ejpam-3519	258	5	a.	a.	PROPN
ejpam-3519	258	6	n.	n.	PROPN
ejpam-3519	258	7	njamen	njamen	PROPN
ejpam-3519	258	8	,	,	PUNCT
ejpam-3519	258	9	h.	h.	PROPN
ejpam-3519	258	10	c.	c.	PROPN
ejpam-3519	258	11	yayebga	yayebga	PROPN
ejpam-3519	258	12	/	/	SYM
ejpam-3519	258	13	eur	eur	PROPN
ejpam-3519	258	14	.	.	PUNCT
ejpam-3519	259	1	j.	j.	PROPN
ejpam-3519	259	2	pure	pure	PROPN
ejpam-3519	259	3	appl	appl	PROPN
ejpam-3519	259	4	.	.	PROPN
ejpam-3519	259	5	math	math	PROPN
ejpam-3519	259	6	,	,	PUNCT
ejpam-3519	259	7	12	12	NUM
ejpam-3519	259	8	(	(	PUNCT
ejpam-3519	259	9	4	4	NUM
ejpam-3519	259	10	)	)	PUNCT
ejpam-3519	259	11	(	(	PUNCT
ejpam-3519	259	12	2019	2019	NUM
ejpam-3519	259	13	)	)	PUNCT
ejpam-3519	259	14	,	,	PUNCT
ejpam-3519	259	15	1612	1612	NUM
ejpam-3519	259	16	-	-	SYM
ejpam-3519	259	17	1642	1642	NUM
ejpam-3519	259	18	1624	1624	NUM
ejpam-3519	259	19	6.3	6.3	NUM
ejpam-3519	259	20	.	.	PUNCT
ejpam-3519	260	1	risk	risk	NOUN
ejpam-3519	260	2	function	function	NOUN
ejpam-3519	260	3	estimation	estimation	NOUN
ejpam-3519	260	4	of	of	ADP
ejpam-3519	260	5	the	the	DET
ejpam-3519	260	6	circular	circular	ADJ
ejpam-3519	260	7	kernel	kernel	NOUN
ejpam-3519	260	8	estimator	estimator	NOUN
ejpam-3519	260	9	in	in	ADP
ejpam-3519	260	10	this	this	DET
ejpam-3519	260	11	section	section	NOUN
ejpam-3519	260	12	,	,	PUNCT
ejpam-3519	260	13	we	we	PRON
ejpam-3519	260	14	are	be	AUX
ejpam-3519	260	15	talking	talk	VERB
ejpam-3519	260	16	about	about	ADP
ejpam-3519	260	17	estimating	estimate	VERB
ejpam-3519	260	18	the	the	DET
ejpam-3519	260	19	risk	risk	NOUN
ejpam-3519	260	20	function	function	NOUN
ejpam-3519	260	21	of	of	ADP
ejpam-3519	260	22	the	the	DET
ejpam-3519	260	23	circular	circular	ADJ
ejpam-3519	260	24	kernel	kernel	NOUN
ejpam-3519	260	25	.	.	PUNCT
ejpam-3519	261	1	definition	definition	NOUN
ejpam-3519	261	2	7	7	NUM
ejpam-3519	261	3	.	.	PUNCT
ejpam-3519	262	1	the	the	DET
ejpam-3519	262	2	kernel	kernel	PROPN
ejpam-3519	262	3	estimator	estimator	NOUN
ejpam-3519	262	4	of	of	ADP
ejpam-3519	262	5	the	the	DET
ejpam-3519	262	6	hazard	hazard	NOUN
ejpam-3519	262	7	function	function	NOUN
ejpam-3519	262	8	is	be	AUX
ejpam-3519	262	9	defined	define	VERB
ejpam-3519	262	10	by	by	ADP
ejpam-3519	262	11	:	:	PUNCT
ejpam-3519	262	12	ĥ(x	ĥ(x	NUM
ejpam-3519	262	13	)	)	PUNCT
ejpam-3519	262	14	=	=	SYM
ejpam-3519	263	1	f̂(x	f̂(x	NOUN
ejpam-3519	263	2	)	)	PUNCT
ejpam-3519	263	3	1−	1−	NUM
ejpam-3519	263	4	f̂	f̂	NUM
ejpam-3519	263	5	(	(	PUNCT
ejpam-3519	263	6	x	x	X
ejpam-3519	263	7	)	)	PUNCT
ejpam-3519	263	8	=	=	SYM
ejpam-3519	263	9	f̂(x	f̂(x	NOUN
ejpam-3519	263	10	)	)	PUNCT
ejpam-3519	263	11	ŝ(x	ŝ(x	NUM
ejpam-3519	263	12	)	)	PUNCT
ejpam-3519	263	13	,	,	PUNCT
ejpam-3519	263	14	where	where	SCONJ
ejpam-3519	263	15	f	f	PROPN
ejpam-3519	263	16	(	(	PUNCT
ejpam-3519	263	17	.	.	PUNCT
ejpam-3519	263	18	)	)	PUNCT
ejpam-3519	263	19	and	and	CCONJ
ejpam-3519	263	20	s	s	X
ejpam-3519	263	21	(	(	PUNCT
ejpam-3519	263	22	.	.	PUNCT
ejpam-3519	263	23	)	)	PUNCT
ejpam-3519	263	24	respectively	respectively	ADV
ejpam-3519	263	25	designate	designate	VERB
ejpam-3519	263	26	the	the	DET
ejpam-3519	263	27	distribution	distribution	NOUN
ejpam-3519	263	28	and	and	CCONJ
ejpam-3519	263	29	survival	survival	NOUN
ejpam-3519	263	30	functions	function	NOUN
ejpam-3519	263	31	;	;	PUNCT
ejpam-3519	263	32	f̂	f̂	NUM
ejpam-3519	263	33	(	(	PUNCT
ejpam-3519	263	34	.	.	PUNCT
ejpam-3519	263	35	)	)	PUNCT
ejpam-3519	263	36	and	and	CCONJ
ejpam-3519	263	37	ŝ	ŝ	NOUN
ejpam-3519	263	38	(	(	PUNCT
ejpam-3519	263	39	.	.	PUNCT
ejpam-3519	263	40	)	)	PUNCT
ejpam-3519	264	1	their	their	PRON
ejpam-3519	264	2	respective	respective	ADJ
ejpam-3519	264	3	estimators	estimator	NOUN
ejpam-3519	264	4	.	.	PUNCT
ejpam-3519	265	1	7	7	X
ejpam-3519	265	2	.	.	X
ejpam-3519	265	3	main	main	ADJ
ejpam-3519	265	4	results	result	NOUN
ejpam-3519	265	5	7.1	7.1	NUM
ejpam-3519	265	6	.	.	PUNCT
ejpam-3519	266	1	case	case	NOUN
ejpam-3519	266	2	of	of	ADP
ejpam-3519	266	3	the	the	DET
ejpam-3519	266	4	circular	circular	ADJ
ejpam-3519	266	5	kernel	kernel	PROPN
ejpam-3519	266	6	estimator	estimator	NOUN
ejpam-3519	266	7	7.1.1	7.1.1	PROPN
ejpam-3519	266	8	.	.	PUNCT
ejpam-3519	266	9	bias	bias	NOUN
ejpam-3519	266	10	and	and	CCONJ
ejpam-3519	266	11	variance	variance	NOUN
ejpam-3519	266	12	of	of	ADP
ejpam-3519	266	13	the	the	DET
ejpam-3519	266	14	circular	circular	ADJ
ejpam-3519	266	15	kernel	kernel	PROPN
ejpam-3519	266	16	estimator	estimator	NOUN
ejpam-3519	266	17	the	the	DET
ejpam-3519	266	18	bias	bias	NOUN
ejpam-3519	266	19	and	and	CCONJ
ejpam-3519	266	20	variance	variance	NOUN
ejpam-3519	266	21	of	of	ADP
ejpam-3519	266	22	the	the	DET
ejpam-3519	266	23	circular	circular	ADJ
ejpam-3519	266	24	kernel	kernel	PROPN
ejpam-3519	266	25	estimator	estimator	NOUN
ejpam-3519	266	26	is	be	AUX
ejpam-3519	266	27	given	give	VERB
ejpam-3519	266	28	by	by	ADP
ejpam-3519	266	29	the	the	DET
ejpam-3519	266	30	following	follow	VERB
ejpam-3519	266	31	proposition	proposition	NOUN
ejpam-3519	266	32	and	and	CCONJ
ejpam-3519	266	33	is	be	AUX
ejpam-3519	266	34	the	the	DET
ejpam-3519	266	35	first	first	ADJ
ejpam-3519	266	36	result	result	NOUN
ejpam-3519	266	37	of	of	ADP
ejpam-3519	266	38	this	this	DET
ejpam-3519	266	39	article	article	NOUN
ejpam-3519	266	40	.	.	PUNCT
ejpam-3519	267	1	proposition	proposition	NOUN
ejpam-3519	267	2	4	4	NUM
ejpam-3519	267	3	.	.	PUNCT
ejpam-3519	268	1	the	the	DET
ejpam-3519	268	2	bias	bias	NOUN
ejpam-3519	268	3	and	and	CCONJ
ejpam-3519	268	4	variance	variance	NOUN
ejpam-3519	268	5	of	of	ADP
ejpam-3519	268	6	the	the	DET
ejpam-3519	268	7	circular	circular	ADJ
ejpam-3519	268	8	kernel	kernel	PROPN
ejpam-3519	268	9	estimator	estimator	PROPN
ejpam-3519	268	10	f̂	f̂	PROPN
ejpam-3519	268	11	of	of	ADP
ejpam-3519	268	12	the	the	DET
ejpam-3519	268	13	relation	relation	NOUN
ejpam-3519	268	14	(	(	PUNCT
ejpam-3519	268	15	35	35	NUM
ejpam-3519	268	16	)	)	PUNCT
ejpam-3519	268	17	is	be	AUX
ejpam-3519	268	18	given	give	VERB
ejpam-3519	268	19	respectively	respectively	ADV
ejpam-3519	268	20	by	by	ADP
ejpam-3519	268	21	:	:	PUNCT
ejpam-3519	268	22	e	e	X
ejpam-3519	268	23	(	(	PUNCT
ejpam-3519	268	24	f̂(x)−	f̂(x)−	NOUN
ejpam-3519	268	25	f(x	f(x	PROPN
ejpam-3519	268	26	)	)	PUNCT
ejpam-3519	268	27	)	)	PUNCT
ejpam-3519	269	1	=	=	PUNCT
ejpam-3519	269	2	b2n	b2n	VERB
ejpam-3519	269	3	2	2	NUM
ejpam-3519	269	4	f	f	PROPN
ejpam-3519	269	5	′′(x	′′(x	NOUN
ejpam-3519	269	6	)	)	PUNCT
ejpam-3519	269	7	[	[	PUNCT
ejpam-3519	269	8	1−	1−	NUM
ejpam-3519	269	9	8	8	NUM
ejpam-3519	269	10	π2	π2	NOUN
ejpam-3519	269	11	]	]	PUNCT
ejpam-3519	269	12	+	+	ADJ
ejpam-3519	269	13	o(b2n	o(b2n	ADJ
ejpam-3519	269	14	)	)	PUNCT
ejpam-3519	269	15	.	.	PUNCT
ejpam-3519	270	1	(	(	PUNCT
ejpam-3519	270	2	36	36	NUM
ejpam-3519	270	3	)	)	PUNCT
ejpam-3519	270	4	(	(	PUNCT
ejpam-3519	270	5	37	37	NUM
ejpam-3519	270	6	)	)	PUNCT
ejpam-3519	270	7	and	and	CCONJ
ejpam-3519	270	8	v(f̂(x	v(f̂(x	NOUN
ejpam-3519	270	9	)	)	PUNCT
ejpam-3519	270	10	)	)	PUNCT
ejpam-3519	270	11	=	=	SYM
ejpam-3519	270	12	1	1	NUM
ejpam-3519	270	13	nbn	nbn	NOUN
ejpam-3519	270	14	f(t	f(t	PROPN
ejpam-3519	270	15	)	)	PUNCT
ejpam-3519	271	1	π2	π2	ADP
ejpam-3519	271	2	16	16	NUM
ejpam-3519	272	1	+	+	NOUN
ejpam-3519	272	2	o	o	X
ejpam-3519	272	3	(	(	PUNCT
ejpam-3519	272	4	1	1	NUM
ejpam-3519	272	5	nbn	nbn	NOUN
ejpam-3519	272	6	)	)	PUNCT
ejpam-3519	272	7	.	.	PUNCT
ejpam-3519	273	1	(	(	PUNCT
ejpam-3519	273	2	38	38	NUM
ejpam-3519	273	3	)	)	PUNCT
ejpam-3519	273	4	proof	proof	NOUN
ejpam-3519	273	5	.	.	PUNCT
ejpam-3519	274	1	let	let	VERB
ejpam-3519	274	2	x1	x1	NUM
ejpam-3519	274	3	,	,	PUNCT
ejpam-3519	274	4	x2	x2	PROPN
ejpam-3519	274	5	,	,	PUNCT
ejpam-3519	274	6	...	...	PUNCT
ejpam-3519	274	7	,	,	PUNCT
ejpam-3519	274	8	xn	xn	PROPN
ejpam-3519	274	9	be	be	AUX
ejpam-3519	274	10	random	random	ADJ
ejpam-3519	274	11	variables	variable	NOUN
ejpam-3519	274	12	that	that	PRON
ejpam-3519	274	13	are	be	AUX
ejpam-3519	274	14	i.i.d	i.i.d	ADJ
ejpam-3519	274	15	.	.	PUNCT
ejpam-3519	275	1	we	we	PRON
ejpam-3519	275	2	then	then	ADV
ejpam-3519	275	3	have	have	VERB
ejpam-3519	275	4	:	:	PUNCT
ejpam-3519	275	5	•	•	NUM
ejpam-3519	275	6	e(f̂(x	e(f̂(x	NOUN
ejpam-3519	275	7	)	)	PUNCT
ejpam-3519	275	8	)	)	PUNCT
ejpam-3519	276	1	=	=	PUNCT
ejpam-3519	276	2	e	e	X
ejpam-3519	276	3	{	{	PUNCT
ejpam-3519	276	4	1	1	NUM
ejpam-3519	276	5	n	n	NUM
ejpam-3519	276	6	n∑	n∑	NOUN
ejpam-3519	276	7	i=1	i=1	PROPN
ejpam-3519	276	8	1	1	NUM
ejpam-3519	276	9	bn	bn	NOUN
ejpam-3519	276	10	k	k	PROPN
ejpam-3519	276	11	(	(	PUNCT
ejpam-3519	276	12	x−xi	x−xi	PROPN
ejpam-3519	276	13	bn	bn	PROPN
ejpam-3519	276	14	)	)	PUNCT
ejpam-3519	276	15	}	}	PUNCT
ejpam-3519	276	16	=	=	SYM
ejpam-3519	276	17	1	1	NUM
ejpam-3519	276	18	n	n	NUM
ejpam-3519	276	19	n∑	n∑	NOUN
ejpam-3519	276	20	i=1	i=1	PROPN
ejpam-3519	276	21	e	e	NOUN
ejpam-3519	276	22	{	{	PUNCT
ejpam-3519	276	23	1	1	NUM
ejpam-3519	276	24	bn	bn	NOUN
ejpam-3519	276	25	k	k	PROPN
ejpam-3519	276	26	(	(	PUNCT
ejpam-3519	276	27	x−xi	x−xi	PROPN
ejpam-3519	276	28	bn	bn	PROPN
ejpam-3519	276	29	)	)	PUNCT
ejpam-3519	276	30	}	}	PUNCT
ejpam-3519	276	31	=	=	SYM
ejpam-3519	276	32	e	e	X
ejpam-3519	276	33	{	{	PUNCT
ejpam-3519	276	34	1	1	NUM
ejpam-3519	276	35	bn	bn	NOUN
ejpam-3519	276	36	k	k	PROPN
ejpam-3519	276	37	(	(	PUNCT
ejpam-3519	276	38	x−x1	x−x1	PROPN
ejpam-3519	276	39	bn	bn	PROPN
ejpam-3519	276	40	)	)	PUNCT
ejpam-3519	276	41	}	}	PUNCT
ejpam-3519	276	42	=	=	SYM
ejpam-3519	277	1	∫	∫	PUNCT
ejpam-3519	277	2	r	r	NOUN
ejpam-3519	277	3	1	1	NUM
ejpam-3519	277	4	bn	bn	NOUN
ejpam-3519	277	5	k	k	PROPN
ejpam-3519	277	6	(	(	PUNCT
ejpam-3519	277	7	x−	x−	PROPN
ejpam-3519	277	8	x1	x1	PROPN
ejpam-3519	277	9	bn	bn	PROPN
ejpam-3519	277	10	)	)	PUNCT
ejpam-3519	277	11	f(x1)dx1	f(x1)dx1	PROPN
ejpam-3519	277	12	we	we	PRON
ejpam-3519	277	13	perform	perform	VERB
ejpam-3519	277	14	the	the	DET
ejpam-3519	277	15	following	follow	VERB
ejpam-3519	277	16	variable	variable	ADJ
ejpam-3519	277	17	change	change	NOUN
ejpam-3519	277	18	:	:	PUNCT
ejpam-3519	277	19	−t	−t	NOUN
ejpam-3519	277	20	=	=	PUNCT
ejpam-3519	277	21	x−x1	x−x1	PROPN
ejpam-3519	277	22	bn	bn	INTJ
ejpam-3519	277	23	.	.	PUNCT
ejpam-3519	278	1	d.	d.	PROPN
ejpam-3519	278	2	a.	a.	PROPN
ejpam-3519	278	3	n.	n.	PROPN
ejpam-3519	278	4	njamen	njamen	PROPN
ejpam-3519	278	5	,	,	PUNCT
ejpam-3519	278	6	h.	h.	PROPN
ejpam-3519	278	7	c.	c.	PROPN
ejpam-3519	278	8	yayebga	yayebga	PROPN
ejpam-3519	278	9	/	/	SYM
ejpam-3519	278	10	eur	eur	PROPN
ejpam-3519	278	11	.	.	PUNCT
ejpam-3519	279	1	j.	j.	PROPN
ejpam-3519	279	2	pure	pure	PROPN
ejpam-3519	279	3	appl	appl	PROPN
ejpam-3519	279	4	.	.	PROPN
ejpam-3519	279	5	math	math	PROPN
ejpam-3519	279	6	,	,	PUNCT
ejpam-3519	279	7	12	12	NUM
ejpam-3519	279	8	(	(	PUNCT
ejpam-3519	279	9	4	4	NUM
ejpam-3519	279	10	)	)	PUNCT
ejpam-3519	279	11	(	(	PUNCT
ejpam-3519	279	12	2019	2019	NUM
ejpam-3519	279	13	)	)	PUNCT
ejpam-3519	279	14	,	,	PUNCT
ejpam-3519	279	15	1612	1612	NUM
ejpam-3519	279	16	-	-	SYM
ejpam-3519	279	17	1642	1642	NUM
ejpam-3519	279	18	1625	1625	NUM
ejpam-3519	279	19	hence	hence	ADV
ejpam-3519	279	20	,	,	PUNCT
ejpam-3519	279	21	x1	x1	PROPN
ejpam-3519	279	22	=	=	PUNCT
ejpam-3519	280	1	bnt+	bnt+	NOUN
ejpam-3519	280	2	x.	x.	NOUN
ejpam-3519	280	3	from	from	ADP
ejpam-3519	280	4	the	the	DET
ejpam-3519	280	5	expression	expression	NOUN
ejpam-3519	280	6	of	of	ADP
ejpam-3519	280	7	x1	x1	PROPN
ejpam-3519	280	8	above	above	ADV
ejpam-3519	280	9	,	,	PUNCT
ejpam-3519	280	10	we	we	PRON
ejpam-3519	280	11	obtain	obtain	VERB
ejpam-3519	280	12	:	:	PUNCT
ejpam-3519	280	13	e(f̂(x	e(f̂(x	NOUN
ejpam-3519	280	14	)	)	PUNCT
ejpam-3519	280	15	)	)	PUNCT
ejpam-3519	281	1	=	=	SYM
ejpam-3519	282	1	∫	∫	PUNCT
ejpam-3519	282	2	r	r	NOUN
ejpam-3519	282	3	k(−t)f(x+	k(−t)f(x+	NOUN
ejpam-3519	282	4	bnt)dt	bnt)dt	NOUN
ejpam-3519	282	5	.	.	PUNCT
ejpam-3519	283	1	thus	thus	ADV
ejpam-3519	283	2	,	,	PUNCT
ejpam-3519	283	3	bias(f̂(x	bias(f̂(x	NOUN
ejpam-3519	283	4	)	)	PUNCT
ejpam-3519	283	5	)	)	PUNCT
ejpam-3519	284	1	=	=	VERB
ejpam-3519	284	2	e(f̂(x)−	e(f̂(x)−	NOUN
ejpam-3519	284	3	f(x	f(x	PROPN
ejpam-3519	284	4	)	)	PUNCT
ejpam-3519	284	5	)	)	PUNCT
ejpam-3519	285	1	=	=	SYM
ejpam-3519	285	2	∫	∫	PROPN
ejpam-3519	285	3	r	r	NOUN
ejpam-3519	285	4	k(−t)f(x+	k(−t)f(x+	NOUN
ejpam-3519	285	5	bnt)dt−	bnt)dt−	PROPN
ejpam-3519	285	6	f(x	f(x	PROPN
ejpam-3519	285	7	)	)	PUNCT
ejpam-3519	286	1	=	=	SYM
ejpam-3519	287	1	∫	∫	PROPN
ejpam-3519	287	2	r	r	NOUN
ejpam-3519	287	3	k(t)f(x+	k(t)f(x+	X
ejpam-3519	287	4	bnt)dt−	bnt)dt−	VERB
ejpam-3519	287	5	f(x	f(x	PROPN
ejpam-3519	287	6	)	)	PUNCT
ejpam-3519	287	7	because	because	SCONJ
ejpam-3519	287	8	k	k	PROPN
ejpam-3519	287	9	is	be	AUX
ejpam-3519	287	10	symmetrical	symmetrical	ADJ
ejpam-3519	287	11	.	.	PUNCT
ejpam-3519	288	1	in	in	ADP
ejpam-3519	288	2	an	an	DET
ejpam-3519	288	3	aim	aim	NOUN
ejpam-3519	288	4	to	to	PART
ejpam-3519	288	5	obtain	obtain	VERB
ejpam-3519	288	6	a	a	DET
ejpam-3519	288	7	simpler	simple	ADJ
ejpam-3519	288	8	form	form	NOUN
ejpam-3519	288	9	,	,	PUNCT
ejpam-3519	288	10	which	which	PRON
ejpam-3519	288	11	depends	depend	VERB
ejpam-3519	288	12	only	only	ADV
ejpam-3519	288	13	on	on	ADP
ejpam-3519	288	14	the	the	DET
ejpam-3519	288	15	parameter	parameter	NOUN
ejpam-3519	288	16	bn	bn	NOUN
ejpam-3519	288	17	,	,	PUNCT
ejpam-3519	288	18	we	we	PRON
ejpam-3519	288	19	approximate	approximate	VERB
ejpam-3519	288	20	the	the	DET
ejpam-3519	288	21	bias	bias	NOUN
ejpam-3519	288	22	formula	formula	NOUN
ejpam-3519	288	23	using	use	VERB
ejpam-3519	288	24	the	the	DET
ejpam-3519	288	25	taylor	taylor	PROPN
ejpam-3519	288	26	-	-	PUNCT
ejpam-3519	288	27	lagrange	lagrange	NOUN
ejpam-3519	288	28	formula	formula	NOUN
ejpam-3519	288	29	:	:	PUNCT
ejpam-3519	288	30	f(x+	f(x+	NUM
ejpam-3519	288	31	bnt	bnt	PROPN
ejpam-3519	288	32	)	)	PUNCT
ejpam-3519	288	33	=	=	SYM
ejpam-3519	288	34	f(x	f(x	PROPN
ejpam-3519	288	35	)	)	PUNCT
ejpam-3519	289	1	+	+	CCONJ
ejpam-3519	289	2	bntf	bntf	VERB
ejpam-3519	289	3	′(x	′(x	NOUN
ejpam-3519	289	4	)	)	PUNCT
ejpam-3519	290	1	+	+	CCONJ
ejpam-3519	290	2	b2nt	b2nt	NOUN
ejpam-3519	290	3	2	2	NUM
ejpam-3519	290	4	2	2	NUM
ejpam-3519	290	5	f	f	NOUN
ejpam-3519	290	6	′′(x	′′(x	NOUN
ejpam-3519	290	7	)	)	PUNCT
ejpam-3519	290	8	+	+	NOUN
ejpam-3519	290	9	o(b2nt	o(b2nt	NOUN
ejpam-3519	290	10	2	2	NUM
ejpam-3519	290	11	)	)	PUNCT
ejpam-3519	290	12	.	.	PUNCT
ejpam-3519	291	1	thus	thus	ADV
ejpam-3519	291	2	,	,	PUNCT
ejpam-3519	291	3	replacing	replace	VERB
ejpam-3519	291	4	the	the	DET
ejpam-3519	291	5	expression	expression	NOUN
ejpam-3519	291	6	of	of	ADP
ejpam-3519	291	7	f(x+	f(x+	NOUN
ejpam-3519	291	8	bnt	bnt	PROPN
ejpam-3519	291	9	)	)	PUNCT
ejpam-3519	291	10	in	in	ADP
ejpam-3519	291	11	the	the	DET
ejpam-3519	291	12	expression	expression	NOUN
ejpam-3519	291	13	of	of	ADP
ejpam-3519	291	14	bias(f̂(x	bias(f̂(x	NOUN
ejpam-3519	291	15	)	)	PUNCT
ejpam-3519	291	16	)	)	PUNCT
ejpam-3519	292	1	above	above	ADV
ejpam-3519	292	2	,	,	PUNCT
ejpam-3519	292	3	we	we	PRON
ejpam-3519	292	4	get	get	VERB
ejpam-3519	292	5	:	:	PUNCT
ejpam-3519	292	6	bias(f̂(x	bias(f̂(x	NOUN
ejpam-3519	292	7	)	)	PUNCT
ejpam-3519	292	8	)	)	PUNCT
ejpam-3519	293	1	=	=	SYM
ejpam-3519	294	1	∫	∫	PROPN
ejpam-3519	294	2	r	r	PROPN
ejpam-3519	294	3	k(t	k(t	PROPN
ejpam-3519	294	4	)	)	PUNCT
ejpam-3519	294	5	(	(	PUNCT
ejpam-3519	294	6	f(x	f(x	PROPN
ejpam-3519	294	7	)	)	PUNCT
ejpam-3519	294	8	+	+	CCONJ
ejpam-3519	294	9	bntf	bntf	VERB
ejpam-3519	294	10	′(x	′(x	NOUN
ejpam-3519	294	11	)	)	PUNCT
ejpam-3519	295	1	+	+	CCONJ
ejpam-3519	295	2	b2nt	b2nt	NOUN
ejpam-3519	295	3	2	2	NUM
ejpam-3519	295	4	2	2	NUM
ejpam-3519	295	5	f	f	NOUN
ejpam-3519	295	6	′′(x	′′(x	NOUN
ejpam-3519	295	7	)	)	PUNCT
ejpam-3519	296	1	+	+	NOUN
ejpam-3519	296	2	o(b2nt	o(b2nt	NOUN
ejpam-3519	296	3	2	2	NUM
ejpam-3519	296	4	)	)	PUNCT
ejpam-3519	296	5	)	)	PUNCT
ejpam-3519	297	1	dt−	dt−	ADJ
ejpam-3519	297	2	f(x	f(x	PROPN
ejpam-3519	297	3	)	)	PUNCT
ejpam-3519	297	4	=	=	SYM
ejpam-3519	297	5	f(x	f(x	PROPN
ejpam-3519	297	6	)	)	PUNCT
ejpam-3519	297	7	∫	∫	PROPN
ejpam-3519	297	8	r	r	NOUN
ejpam-3519	297	9	k(t)dt+	k(t)dt+	PROPN
ejpam-3519	297	10	bnf	bnf	PROPN
ejpam-3519	297	11	′(x	′(x	PROPN
ejpam-3519	297	12	)	)	PUNCT
ejpam-3519	297	13	∫	∫	PROPN
ejpam-3519	297	14	r	r	NOUN
ejpam-3519	297	15	tk(t)dt	tk(t)dt	NOUN
ejpam-3519	297	16	+	+	CCONJ
ejpam-3519	297	17	1	1	NUM
ejpam-3519	297	18	2	2	NUM
ejpam-3519	297	19	b2nf	b2nf	NOUN
ejpam-3519	297	20	′′(x	′′(x	NOUN
ejpam-3519	297	21	)	)	PUNCT
ejpam-3519	297	22	∫	∫	PROPN
ejpam-3519	297	23	r	r	NOUN
ejpam-3519	297	24	t2k(t)dt−	t2k(t)dt−	PROPN
ejpam-3519	297	25	f(x	f(x	PROPN
ejpam-3519	297	26	)	)	PUNCT
ejpam-3519	298	1	+	+	VERB
ejpam-3519	298	2	o(b2n	o(b2n	ADJ
ejpam-3519	298	3	)	)	PUNCT
ejpam-3519	298	4	.	.	PUNCT
ejpam-3519	299	1	and	and	CCONJ
ejpam-3519	299	2	according	accord	VERB
ejpam-3519	299	3	to	to	ADP
ejpam-3519	299	4	our	our	PRON
ejpam-3519	299	5	assumptions	assumption	NOUN
ejpam-3519	299	6	on	on	ADP
ejpam-3519	299	7	the	the	DET
ejpam-3519	299	8	k	k	PROPN
ejpam-3519	299	9	kernel	kernel	PROPN
ejpam-3519	299	10	,	,	PUNCT
ejpam-3519	299	11	we	we	PRON
ejpam-3519	299	12	finally	finally	ADV
ejpam-3519	299	13	get	get	VERB
ejpam-3519	299	14	:	:	PUNCT
ejpam-3519	299	15	bias(f̂(x	bias(f̂(x	NOUN
ejpam-3519	299	16	)	)	PUNCT
ejpam-3519	299	17	)	)	PUNCT
ejpam-3519	300	1	=	=	PUNCT
ejpam-3519	300	2	b2n	b2n	VERB
ejpam-3519	300	3	2	2	NUM
ejpam-3519	300	4	f	f	PROPN
ejpam-3519	300	5	′′(x	′′(x	PROPN
ejpam-3519	300	6	)	)	PUNCT
ejpam-3519	300	7	∫	∫	NOUN
ejpam-3519	300	8	r	r	NOUN
ejpam-3519	300	9	t2k(t)dt+o(b2n	t2k(t)dt+o(b2n	PROPN
ejpam-3519	300	10	)	)	PUNCT
ejpam-3519	300	11	,	,	PUNCT
ejpam-3519	300	12	so	so	ADV
ejpam-3519	300	13	,	,	PUNCT
ejpam-3519	300	14	ef̂(x)−	ef̂(x)−	PROPN
ejpam-3519	300	15	f(x	f(x	PROPN
ejpam-3519	300	16	)	)	PUNCT
ejpam-3519	300	17	=	=	PUNCT
ejpam-3519	300	18	b2n	b2n	VERB
ejpam-3519	300	19	2	2	NUM
ejpam-3519	300	20	f	f	PROPN
ejpam-3519	300	21	′′(x	′′(x	PROPN
ejpam-3519	300	22	)	)	PUNCT
ejpam-3519	300	23	∫	∫	NOUN
ejpam-3519	301	1	r	r	NOUN
ejpam-3519	301	2	t2k(t)dt+o(b2n	t2k(t)dt+o(b2n	PROPN
ejpam-3519	301	3	)	)	PUNCT
ejpam-3519	301	4	.	.	PUNCT
ejpam-3519	302	1	yet	yet	ADV
ejpam-3519	302	2	,	,	PUNCT
ejpam-3519	302	3	∫	∫	PROPN
ejpam-3519	302	4	r	r	NOUN
ejpam-3519	302	5	t2k(t)dt	t2k(t)dt	NOUN
ejpam-3519	302	6	=	=	SYM
ejpam-3519	302	7	∫	∫	PROPN
ejpam-3519	302	8	1	1	NUM
ejpam-3519	302	9	−1	−1	NOUN
ejpam-3519	302	10	t2k(t)dt	t2k(t)dt	NOUN
ejpam-3519	302	11	=	=	SYM
ejpam-3519	302	12	1−	1−	NUM
ejpam-3519	302	13	8	8	NUM
ejpam-3519	302	14	π2	π2	NOUN
ejpam-3519	302	15	,	,	PUNCT
ejpam-3519	302	16	so	so	ADV
ejpam-3519	302	17	,	,	PUNCT
ejpam-3519	302	18	by	by	ADP
ejpam-3519	302	19	replacing	replace	VERB
ejpam-3519	302	20	it	it	PRON
ejpam-3519	302	21	in	in	ADP
ejpam-3519	302	22	our	our	PRON
ejpam-3519	302	23	expression	expression	NOUN
ejpam-3519	302	24	above	above	ADV
ejpam-3519	302	25	,	,	PUNCT
ejpam-3519	302	26	we	we	PRON
ejpam-3519	302	27	obtain	obtain	VERB
ejpam-3519	302	28	:	:	PUNCT
ejpam-3519	302	29	e	e	X
ejpam-3519	302	30	(	(	PUNCT
ejpam-3519	302	31	f̂(x)−	f̂(x)−	NOUN
ejpam-3519	302	32	f(x	f(x	PROPN
ejpam-3519	302	33	)	)	PUNCT
ejpam-3519	302	34	)	)	PUNCT
ejpam-3519	303	1	=	=	PUNCT
ejpam-3519	303	2	b2n	b2n	VERB
ejpam-3519	303	3	2	2	NUM
ejpam-3519	303	4	f	f	PROPN
ejpam-3519	303	5	′′(x	′′(x	NOUN
ejpam-3519	303	6	)	)	PUNCT
ejpam-3519	303	7	[	[	PUNCT
ejpam-3519	303	8	1−	1−	NUM
ejpam-3519	303	9	8	8	NUM
ejpam-3519	303	10	π2	π2	NOUN
ejpam-3519	303	11	]	]	PUNCT
ejpam-3519	303	12	+	+	ADJ
ejpam-3519	303	13	o(b2n	o(b2n	ADJ
ejpam-3519	303	14	)	)	PUNCT
ejpam-3519	303	15	.	.	PUNCT
ejpam-3519	304	1	d.	d.	PROPN
ejpam-3519	304	2	a.	a.	PROPN
ejpam-3519	304	3	n.	n.	PROPN
ejpam-3519	304	4	njamen	njamen	PROPN
ejpam-3519	304	5	,	,	PUNCT
ejpam-3519	304	6	h.	h.	PROPN
ejpam-3519	304	7	c.	c.	PROPN
ejpam-3519	304	8	yayebga	yayebga	PROPN
ejpam-3519	304	9	/	/	SYM
ejpam-3519	304	10	eur	eur	PROPN
ejpam-3519	304	11	.	.	PUNCT
ejpam-3519	305	1	j.	j.	PROPN
ejpam-3519	305	2	pure	pure	PROPN
ejpam-3519	305	3	appl	appl	PROPN
ejpam-3519	305	4	.	.	PROPN
ejpam-3519	305	5	math	math	PROPN
ejpam-3519	305	6	,	,	PUNCT
ejpam-3519	305	7	12	12	NUM
ejpam-3519	305	8	(	(	PUNCT
ejpam-3519	305	9	4	4	NUM
ejpam-3519	305	10	)	)	PUNCT
ejpam-3519	305	11	(	(	PUNCT
ejpam-3519	305	12	2019	2019	NUM
ejpam-3519	305	13	)	)	PUNCT
ejpam-3519	305	14	,	,	PUNCT
ejpam-3519	305	15	1612	1612	NUM
ejpam-3519	305	16	-	-	SYM
ejpam-3519	305	17	1642	1642	NUM
ejpam-3519	305	18	1626	1626	NUM
ejpam-3519	305	19	hence	hence	ADV
ejpam-3519	305	20	,	,	PUNCT
ejpam-3519	305	21	bias(f̂(x	bias(f̂(x	NOUN
ejpam-3519	305	22	)	)	PUNCT
ejpam-3519	305	23	)	)	PUNCT
ejpam-3519	306	1	=	=	PUNCT
ejpam-3519	306	2	e	e	X
ejpam-3519	306	3	(	(	PUNCT
ejpam-3519	306	4	f̂(x)−	f̂(x)−	NOUN
ejpam-3519	306	5	f(x	f(x	PROPN
ejpam-3519	306	6	)	)	PUNCT
ejpam-3519	306	7	)	)	PUNCT
ejpam-3519	307	1	=	=	PUNCT
ejpam-3519	307	2	b2n	b2n	VERB
ejpam-3519	307	3	2	2	NUM
ejpam-3519	307	4	f	f	PROPN
ejpam-3519	307	5	′′(x	′′(x	NOUN
ejpam-3519	307	6	)	)	PUNCT
ejpam-3519	307	7	[	[	PUNCT
ejpam-3519	307	8	1−	1−	NUM
ejpam-3519	307	9	8	8	NUM
ejpam-3519	307	10	π2	π2	NOUN
ejpam-3519	307	11	]	]	PUNCT
ejpam-3519	307	12	+	+	ADJ
ejpam-3519	307	13	o(b2n	o(b2n	ADJ
ejpam-3519	307	14	)	)	PUNCT
ejpam-3519	307	15	.	.	PUNCT
ejpam-3519	308	1	hence	hence	ADV
ejpam-3519	308	2	the	the	DET
ejpam-3519	308	3	bias	bias	NOUN
ejpam-3519	308	4	of	of	ADP
ejpam-3519	308	5	f̂	f̂	PROPN
ejpam-3519	308	6	.	.	PUNCT
ejpam-3519	309	1	•	•	ADP
ejpam-3519	309	2	starting	start	VERB
ejpam-3519	309	3	from	from	ADP
ejpam-3519	309	4	the	the	DET
ejpam-3519	309	5	assumption	assumption	NOUN
ejpam-3519	309	6	of	of	ADP
ejpam-3519	309	7	independence	independence	NOUN
ejpam-3519	309	8	between	between	ADP
ejpam-3519	309	9	the	the	DET
ejpam-3519	309	10	xi	xi	PROPN
ejpam-3519	309	11	,	,	PUNCT
ejpam-3519	309	12	we	we	PRON
ejpam-3519	309	13	have	have	VERB
ejpam-3519	309	14	:	:	PUNCT
ejpam-3519	309	15	var(f̂(x	var(f̂(x	NOUN
ejpam-3519	309	16	)	)	PUNCT
ejpam-3519	309	17	)	)	PUNCT
ejpam-3519	310	1	=	=	PUNCT
ejpam-3519	310	2	var	var	NOUN
ejpam-3519	310	3	{	{	PUNCT
ejpam-3519	310	4	1	1	NUM
ejpam-3519	310	5	n	n	NUM
ejpam-3519	310	6	n∑	n∑	NOUN
ejpam-3519	310	7	i=1	i=1	PROPN
ejpam-3519	310	8	1	1	NUM
ejpam-3519	310	9	bn	bn	NOUN
ejpam-3519	310	10	k	k	PROPN
ejpam-3519	310	11	(	(	PUNCT
ejpam-3519	310	12	x−xi	x−xi	PROPN
ejpam-3519	310	13	bn	bn	PROPN
ejpam-3519	310	14	)	)	PUNCT
ejpam-3519	310	15	}	}	PUNCT
ejpam-3519	310	16	=	=	SYM
ejpam-3519	310	17	1	1	NUM
ejpam-3519	310	18	n	n	NUM
ejpam-3519	310	19	v	v	PROPN
ejpam-3519	310	20	ar	ar	NOUN
ejpam-3519	310	21	{	{	PUNCT
ejpam-3519	310	22	1	1	NUM
ejpam-3519	310	23	bn	bn	NUM
ejpam-3519	310	24	k	k	PROPN
ejpam-3519	311	1	(	(	PUNCT
ejpam-3519	311	2	x−x1	x−x1	PROPN
ejpam-3519	311	3	bn	bn	PROPN
ejpam-3519	311	4	)	)	PUNCT
ejpam-3519	311	5	}	}	PUNCT
ejpam-3519	311	6	=	=	SYM
ejpam-3519	312	1	1	1	NUM
ejpam-3519	312	2	n	n	NOUN
ejpam-3519	312	3	e	e	X
ejpam-3519	313	1	[	[	X
ejpam-3519	313	2	{	{	PUNCT
ejpam-3519	313	3	1	1	NUM
ejpam-3519	313	4	bn	bn	NOUN
ejpam-3519	313	5	k	k	PROPN
ejpam-3519	313	6	(	(	PUNCT
ejpam-3519	313	7	x−x1	x−x1	PROPN
ejpam-3519	313	8	bn	bn	PROPN
ejpam-3519	313	9	)	)	PUNCT
ejpam-3519	313	10	}	}	PUNCT
ejpam-3519	313	11	2	2	NUM
ejpam-3519	313	12	]	]	PUNCT
ejpam-3519	313	13	−	−	PROPN
ejpam-3519	313	14	1	1	NUM
ejpam-3519	313	15	n	n	PROPN
ejpam-3519	313	16	[	[	PUNCT
ejpam-3519	313	17	e	e	X
ejpam-3519	313	18	{	{	PUNCT
ejpam-3519	313	19	1	1	NUM
ejpam-3519	313	20	bn	bn	NOUN
ejpam-3519	313	21	k	k	PROPN
ejpam-3519	313	22	(	(	PUNCT
ejpam-3519	313	23	x−x1	x−x1	PROPN
ejpam-3519	313	24	bn	bn	PROPN
ejpam-3519	313	25	)	)	PUNCT
ejpam-3519	313	26	}	}	PUNCT
ejpam-3519	313	27	]	]	PUNCT
ejpam-3519	313	28	2	2	X
ejpam-3519	313	29	=	=	SYM
ejpam-3519	313	30	1	1	NUM
ejpam-3519	313	31	n	n	NUM
ejpam-3519	313	32	∫	∫	NOUN
ejpam-3519	313	33	r	r	NOUN
ejpam-3519	313	34	1	1	NUM
ejpam-3519	313	35	h2	h2	NOUN
ejpam-3519	313	36	k2	k2	NOUN
ejpam-3519	313	37	(	(	PUNCT
ejpam-3519	313	38	x−	x−	PROPN
ejpam-3519	313	39	x1	x1	PROPN
ejpam-3519	313	40	bn	bn	PROPN
ejpam-3519	313	41	)	)	PUNCT
ejpam-3519	313	42	f(x1)dx1	f(x1)dx1	PROPN
ejpam-3519	313	43	−	−	PROPN
ejpam-3519	313	44	1	1	NUM
ejpam-3519	313	45	n	n	PROPN
ejpam-3519	313	46	{	{	PUNCT
ejpam-3519	313	47	∫	∫	PROPN
ejpam-3519	313	48	r	r	NOUN
ejpam-3519	313	49	1	1	NUM
ejpam-3519	313	50	bn	bn	NOUN
ejpam-3519	313	51	k	k	PROPN
ejpam-3519	313	52	(	(	PUNCT
ejpam-3519	313	53	x−	x−	PROPN
ejpam-3519	313	54	x1	x1	PROPN
ejpam-3519	313	55	bn	bn	PROPN
ejpam-3519	313	56	)	)	PUNCT
ejpam-3519	313	57	f(x1	f(x1	NOUN
ejpam-3519	313	58	)	)	PUNCT
ejpam-3519	313	59	}	}	PUNCT
ejpam-3519	313	60	2	2	NUM
ejpam-3519	313	61	.	.	PUNCT
ejpam-3519	314	1	by	by	ADP
ejpam-3519	314	2	performing	perform	VERB
ejpam-3519	314	3	the	the	DET
ejpam-3519	314	4	−t	−t	NOUN
ejpam-3519	314	5	=	=	PUNCT
ejpam-3519	314	6	x−x1	x−x1	NOUN
ejpam-3519	314	7	bn	bn	ADJ
ejpam-3519	314	8	variable	variable	ADJ
ejpam-3519	314	9	change	change	NOUN
ejpam-3519	314	10	,	,	PUNCT
ejpam-3519	314	11	we	we	PRON
ejpam-3519	314	12	get	get	VERB
ejpam-3519	314	13	:	:	PUNCT
ejpam-3519	314	14	v(f̂(x	v(f̂(x	NOUN
ejpam-3519	314	15	)	)	PUNCT
ejpam-3519	314	16	)	)	PUNCT
ejpam-3519	315	1	=	=	SYM
ejpam-3519	315	2	1	1	NUM
ejpam-3519	315	3	nb2n	nb2n	PROPN
ejpam-3519	315	4	∫	∫	PROPN
ejpam-3519	315	5	r	r	PROPN
ejpam-3519	315	6	k(−t)2f(x+	k(−t)2f(x+	PROPN
ejpam-3519	315	7	bnt)bndt−	bnt)bndt−	PROPN
ejpam-3519	315	8	1	1	NUM
ejpam-3519	315	9	n	n	NOUN
ejpam-3519	315	10	{	{	PUNCT
ejpam-3519	315	11	∫	∫	PROPN
ejpam-3519	315	12	r	r	NOUN
ejpam-3519	315	13	k(−t)f(x+	k(−t)f(x+	NOUN
ejpam-3519	315	14	bnt)bndt	bnt)bndt	NOUN
ejpam-3519	315	15	}	}	PUNCT
ejpam-3519	315	16	2	2	NUM
ejpam-3519	315	17	=	=	SYM
ejpam-3519	315	18	1	1	NUM
ejpam-3519	315	19	nbn	nbn	NOUN
ejpam-3519	315	20	∫	∫	PROPN
ejpam-3519	315	21	r	r	NOUN
ejpam-3519	315	22	k(t)2f(bnt+	k(t)2f(bnt+	PROPN
ejpam-3519	315	23	x)dt−	x)dt−	ADV
ejpam-3519	315	24	1	1	NUM
ejpam-3519	315	25	n	n	PROPN
ejpam-3519	315	26	[	[	PUNCT
ejpam-3519	315	27	biais(f̂(x	biais(f̂(x	NUM
ejpam-3519	315	28	)	)	PUNCT
ejpam-3519	315	29	)	)	PUNCT
ejpam-3519	316	1	+	+	CCONJ
ejpam-3519	316	2	f(x	f(x	PROPN
ejpam-3519	316	3	)	)	PUNCT
ejpam-3519	316	4	]	]	PUNCT
ejpam-3519	316	5	2	2	X
ejpam-3519	316	6	=	=	SYM
ejpam-3519	316	7	1	1	NUM
ejpam-3519	316	8	nbn	nbn	NOUN
ejpam-3519	316	9	∫	∫	PROPN
ejpam-3519	316	10	r	r	NOUN
ejpam-3519	316	11	k(t)2f(bnt+	k(t)2f(bnt+	PROPN
ejpam-3519	317	1	x)dt−	x)dt−	ADV
ejpam-3519	317	2	1	1	NUM
ejpam-3519	317	3	n	n	NOUN
ejpam-3519	317	4	{	{	PUNCT
ejpam-3519	317	5	o(b2n	o(b2n	ADV
ejpam-3519	317	6	)	)	PUNCT
ejpam-3519	318	1	+	+	CCONJ
ejpam-3519	318	2	f(x	f(x	PROPN
ejpam-3519	318	3	)	)	PUNCT
ejpam-3519	318	4	}	}	PUNCT
ejpam-3519	318	5	2	2	NUM
ejpam-3519	318	6	=	=	SYM
ejpam-3519	318	7	1	1	NUM
ejpam-3519	318	8	nbn	nbn	NOUN
ejpam-3519	318	9	∫	∫	PROPN
ejpam-3519	318	10	r	r	PROPN
ejpam-3519	318	11	k2(t	k2(t	PROPN
ejpam-3519	318	12	)	)	PUNCT
ejpam-3519	318	13	(	(	PUNCT
ejpam-3519	318	14	f(x	f(x	PROPN
ejpam-3519	318	15	)	)	PUNCT
ejpam-3519	319	1	+	+	CCONJ
ejpam-3519	319	2	bntf	bntf	VERB
ejpam-3519	319	3	′(x	′(x	NOUN
ejpam-3519	319	4	)	)	PUNCT
ejpam-3519	320	1	+	+	CCONJ
ejpam-3519	320	2	bn	bn	NUM
ejpam-3519	320	3	2	2	NUM
ejpam-3519	320	4	t2f	t2f	X
ejpam-3519	320	5	′′(x	′′(x	NOUN
ejpam-3519	320	6	)	)	PUNCT
ejpam-3519	321	1	+	+	NOUN
ejpam-3519	321	2	o(b2nt	o(b2nt	NOUN
ejpam-3519	321	3	2	2	NUM
ejpam-3519	321	4	)	)	PUNCT
ejpam-3519	321	5	)	)	PUNCT
ejpam-3519	322	1	−	−	PROPN
ejpam-3519	322	2	1	1	NUM
ejpam-3519	322	3	n	n	NOUN
ejpam-3519	322	4	{	{	PUNCT
ejpam-3519	322	5	o(b2n	o(b2n	ADV
ejpam-3519	322	6	)	)	PUNCT
ejpam-3519	323	1	+	+	CCONJ
ejpam-3519	323	2	f(x	f(x	PROPN
ejpam-3519	323	3	)	)	PUNCT
ejpam-3519	323	4	}	}	PUNCT
ejpam-3519	323	5	2	2	NUM
ejpam-3519	323	6	=	=	SYM
ejpam-3519	323	7	1	1	NUM
ejpam-3519	323	8	nbn	nbn	NOUN
ejpam-3519	323	9	f(x	f(x	PROPN
ejpam-3519	323	10	)	)	PUNCT
ejpam-3519	323	11	∫	∫	PROPN
ejpam-3519	323	12	r	r	NOUN
ejpam-3519	323	13	k2(t)dt+	k2(t)dt+	NOUN
ejpam-3519	323	14	1	1	NUM
ejpam-3519	323	15	n	n	PROPN
ejpam-3519	323	16	f	f	PROPN
ejpam-3519	323	17	′(x	′(x	NOUN
ejpam-3519	323	18	)	)	PUNCT
ejpam-3519	323	19	∫	∫	NOUN
ejpam-3519	323	20	r	r	NOUN
ejpam-3519	323	21	tk2(t)dt+	tk2(t)dt+	NOUN
ejpam-3519	323	22	1	1	NUM
ejpam-3519	323	23	n	n	NOUN
ejpam-3519	323	24	bnf	bnf	PROPN
ejpam-3519	323	25	′′(x	′′(x	PROPN
ejpam-3519	323	26	)	)	PUNCT
ejpam-3519	323	27	∫	∫	PROPN
ejpam-3519	323	28	r	r	NOUN
ejpam-3519	323	29	t2k2(t)dt	t2k2(t)dt	ADP
ejpam-3519	323	30	−	−	NUM
ejpam-3519	323	31	1	1	NUM
ejpam-3519	323	32	n	n	NOUN
ejpam-3519	323	33	{	{	PUNCT
ejpam-3519	323	34	o(b2n	o(b2n	ADV
ejpam-3519	323	35	)	)	PUNCT
ejpam-3519	323	36	+	+	CCONJ
ejpam-3519	323	37	f(x	f(x	PROPN
ejpam-3519	323	38	)	)	PUNCT
ejpam-3519	323	39	}	}	PUNCT
ejpam-3519	323	40	2	2	NUM
ejpam-3519	323	41	.	.	PUNCT
ejpam-3519	324	1	yet	yet	ADV
ejpam-3519	324	2	,	,	PUNCT
ejpam-3519	324	3	∫	∫	PROPN
ejpam-3519	324	4	r	r	NOUN
ejpam-3519	324	5	tk2(t)dt	tk2(t)dt	NOUN
ejpam-3519	324	6	=	=	SYM
ejpam-3519	324	7	∫	∫	PROPN
ejpam-3519	324	8	1	1	NUM
ejpam-3519	324	9	−1	−1	NOUN
ejpam-3519	324	10	t	t	PROPN
ejpam-3519	324	11	(	(	PUNCT
ejpam-3519	324	12	π	π	PROPN
ejpam-3519	324	13	4	4	NUM
ejpam-3519	324	14	cos	cos	PROPN
ejpam-3519	324	15	(	(	PUNCT
ejpam-3519	324	16	π	π	PROPN
ejpam-3519	324	17	2	2	NUM
ejpam-3519	324	18	t	t	NOUN
ejpam-3519	324	19	)	)	PUNCT
ejpam-3519	324	20	)	)	PUNCT
ejpam-3519	324	21	2	2	NUM
ejpam-3519	324	22	(	(	PUNCT
ejpam-3519	324	23	t)dt	t)dt	PROPN
ejpam-3519	324	24	=	=	SYM
ejpam-3519	324	25	0	0	NUM
ejpam-3519	324	26	,	,	PUNCT
ejpam-3519	324	27	we	we	PRON
ejpam-3519	324	28	have	have	VERB
ejpam-3519	324	29	:	:	PUNCT
ejpam-3519	324	30	v(f̂(x	v(f̂(x	NOUN
ejpam-3519	324	31	)	)	PUNCT
ejpam-3519	324	32	)	)	PUNCT
ejpam-3519	325	1	=	=	SYM
ejpam-3519	325	2	1	1	NUM
ejpam-3519	325	3	nbn	nbn	NOUN
ejpam-3519	325	4	f(x	f(x	PROPN
ejpam-3519	325	5	)	)	PUNCT
ejpam-3519	325	6	∫	∫	PROPN
ejpam-3519	325	7	r	r	NOUN
ejpam-3519	325	8	k2(t)dt+	k2(t)dt+	NOUN
ejpam-3519	325	9	1	1	NUM
ejpam-3519	325	10	n	n	NOUN
ejpam-3519	325	11	bnf	bnf	PROPN
ejpam-3519	325	12	′′(x	′′(x	PROPN
ejpam-3519	325	13	)	)	PUNCT
ejpam-3519	325	14	∫	∫	PROPN
ejpam-3519	325	15	r	r	NOUN
ejpam-3519	325	16	t2k2(t)dt−	t2k2(t)dt−	NOUN
ejpam-3519	325	17	1	1	NUM
ejpam-3519	325	18	n	n	NOUN
ejpam-3519	325	19	{	{	PUNCT
ejpam-3519	325	20	o(b2n	o(b2n	ADV
ejpam-3519	325	21	)	)	PUNCT
ejpam-3519	325	22	+	+	CCONJ
ejpam-3519	325	23	f(x	f(x	PROPN
ejpam-3519	325	24	)	)	PUNCT
ejpam-3519	325	25	}	}	PUNCT
ejpam-3519	325	26	2	2	X
ejpam-3519	325	27	.	.	PUNCT
ejpam-3519	326	1	d.	d.	PROPN
ejpam-3519	326	2	a.	a.	PROPN
ejpam-3519	326	3	n.	n.	PROPN
ejpam-3519	326	4	njamen	njamen	PROPN
ejpam-3519	326	5	,	,	PUNCT
ejpam-3519	326	6	h.	h.	PROPN
ejpam-3519	326	7	c.	c.	PROPN
ejpam-3519	326	8	yayebga	yayebga	PROPN
ejpam-3519	326	9	/	/	SYM
ejpam-3519	326	10	eur	eur	PROPN
ejpam-3519	326	11	.	.	PUNCT
ejpam-3519	327	1	j.	j.	PROPN
ejpam-3519	327	2	pure	pure	PROPN
ejpam-3519	327	3	appl	appl	PROPN
ejpam-3519	327	4	.	.	PROPN
ejpam-3519	327	5	math	math	PROPN
ejpam-3519	327	6	,	,	PUNCT
ejpam-3519	327	7	12	12	NUM
ejpam-3519	327	8	(	(	PUNCT
ejpam-3519	327	9	4	4	NUM
ejpam-3519	327	10	)	)	PUNCT
ejpam-3519	327	11	(	(	PUNCT
ejpam-3519	327	12	2019	2019	NUM
ejpam-3519	327	13	)	)	PUNCT
ejpam-3519	327	14	,	,	PUNCT
ejpam-3519	327	15	1612	1612	NUM
ejpam-3519	327	16	-	-	SYM
ejpam-3519	327	17	1642	1642	NUM
ejpam-3519	327	18	1627	1627	NUM
ejpam-3519	327	19	finally	finally	ADV
ejpam-3519	327	20	,	,	PUNCT
ejpam-3519	327	21	under	under	ADP
ejpam-3519	327	22	the	the	DET
ejpam-3519	327	23	condition	condition	NOUN
ejpam-3519	327	24	of	of	ADP
ejpam-3519	327	25	having	have	VERB
ejpam-3519	327	26	∫	∫	PROPN
ejpam-3519	327	27	k(t)2dt	k(t)2dt	X
ejpam-3519	327	28	<	<	X
ejpam-3519	327	29	+	+	NOUN
ejpam-3519	327	30	∞	∞	PROPN
ejpam-3519	327	31	and	and	CCONJ
ejpam-3519	327	32	for	for	ADP
ejpam-3519	327	33	n	n	CCONJ
ejpam-3519	327	34	large	large	ADJ
ejpam-3519	327	35	enough	enough	ADV
ejpam-3519	327	36	,	,	PUNCT
ejpam-3519	327	37	we	we	PRON
ejpam-3519	327	38	have	have	VERB
ejpam-3519	327	39	:	:	PUNCT
ejpam-3519	327	40	v	v	NOUN
ejpam-3519	327	41	(	(	PUNCT
ejpam-3519	327	42	f̂(x	f̂(x	NOUN
ejpam-3519	327	43	)	)	PUNCT
ejpam-3519	327	44	)	)	PUNCT
ejpam-3519	328	1	=	=	SYM
ejpam-3519	328	2	1	1	NUM
ejpam-3519	328	3	nbn	nbn	NOUN
ejpam-3519	328	4	f(x	f(x	PROPN
ejpam-3519	328	5	)	)	PUNCT
ejpam-3519	328	6	∫	∫	PROPN
ejpam-3519	328	7	r	r	PROPN
ejpam-3519	328	8	k(t)2dt	k(t)2dt	PROPN
ejpam-3519	328	9	.	.	PUNCT
ejpam-3519	329	1	by	by	ADP
ejpam-3519	329	2	elsewhere	elsewhere	ADV
ejpam-3519	329	3	,	,	PUNCT
ejpam-3519	329	4	∫	∫	PROPN
ejpam-3519	329	5	r	r	NOUN
ejpam-3519	329	6	k2(t)dt	k2(t)dt	NOUN
ejpam-3519	329	7	=	=	SYM
ejpam-3519	329	8	∫	∫	PROPN
ejpam-3519	329	9	1	1	NUM
ejpam-3519	329	10	−1	−1	NOUN
ejpam-3519	329	11	k2(t)dt	k2(t)dt	NOUN
ejpam-3519	330	1	=	=	SYM
ejpam-3519	330	2	∫	∫	PROPN
ejpam-3519	330	3	1	1	NUM
ejpam-3519	330	4	−1	−1	NOUN
ejpam-3519	330	5	π2	π2	ADJ
ejpam-3519	330	6	16	16	NUM
ejpam-3519	330	7	cos2	cos2	NOUN
ejpam-3519	330	8	(	(	PUNCT
ejpam-3519	330	9	π	π	PROPN
ejpam-3519	330	10	2	2	NUM
ejpam-3519	330	11	t)dt	t)dt	PROPN
ejpam-3519	330	12	=	=	SYM
ejpam-3519	331	1	π2	π2	ADV
ejpam-3519	331	2	16	16	NUM
ejpam-3519	331	3	,	,	PUNCT
ejpam-3519	331	4	hence	hence	ADV
ejpam-3519	331	5	the	the	DET
ejpam-3519	331	6	variance	variance	NOUN
ejpam-3519	331	7	of	of	ADP
ejpam-3519	331	8	f̂	f̂	PROPN
ejpam-3519	331	9	is	be	AUX
ejpam-3519	331	10	:	:	PUNCT
ejpam-3519	331	11	v(f̂(x	v(f̂(x	NOUN
ejpam-3519	331	12	)	)	PUNCT
ejpam-3519	331	13	)	)	PUNCT
ejpam-3519	332	1	=	=	SYM
ejpam-3519	332	2	1	1	NUM
ejpam-3519	332	3	nbn	nbn	NOUN
ejpam-3519	332	4	f(x	f(x	PROPN
ejpam-3519	332	5	)	)	PUNCT
ejpam-3519	332	6	π2	π2	ADP
ejpam-3519	332	7	16	16	NUM
ejpam-3519	333	1	+	+	NOUN
ejpam-3519	333	2	o	o	X
ejpam-3519	333	3	(	(	PUNCT
ejpam-3519	333	4	1	1	NUM
ejpam-3519	333	5	nbn	nbn	NOUN
ejpam-3519	333	6	)	)	PUNCT
ejpam-3519	333	7	.	.	PUNCT
ejpam-3519	334	1	to	to	PART
ejpam-3519	334	2	determine	determine	VERB
ejpam-3519	334	3	the	the	DET
ejpam-3519	334	4	optimal	optimal	ADJ
ejpam-3519	334	5	window	window	NOUN
ejpam-3519	334	6	,	,	PUNCT
ejpam-3519	334	7	we	we	PRON
ejpam-3519	334	8	first	first	ADV
ejpam-3519	334	9	need	need	VERB
ejpam-3519	334	10	to	to	PART
ejpam-3519	334	11	find	find	VERB
ejpam-3519	334	12	the	the	DET
ejpam-3519	334	13	mse	mse	NOUN
ejpam-3519	334	14	and	and	CCONJ
ejpam-3519	334	15	the	the	DET
ejpam-3519	334	16	mise	mise	NOUN
ejpam-3519	334	17	of	of	ADP
ejpam-3519	334	18	the	the	DET
ejpam-3519	334	19	estimator	estimator	NOUN
ejpam-3519	334	20	f̂	f̂	PROPN
ejpam-3519	334	21	.	.	PUNCT
ejpam-3519	335	1	in	in	ADP
ejpam-3519	335	2	statistics	statistic	NOUN
ejpam-3519	335	3	,	,	PUNCT
ejpam-3519	335	4	the	the	DET
ejpam-3519	335	5	mean	mean	ADJ
ejpam-3519	335	6	squared	square	VERB
ejpam-3519	335	7	error	error	NOUN
ejpam-3519	335	8	is	be	AUX
ejpam-3519	335	9	a	a	DET
ejpam-3519	335	10	way	way	NOUN
ejpam-3519	335	11	of	of	ADP
ejpam-3519	335	12	estimating	estimate	VERB
ejpam-3519	335	13	the	the	DET
ejpam-3519	335	14	difference	difference	NOUN
ejpam-3519	335	15	between	between	ADP
ejpam-3519	335	16	an	an	DET
ejpam-3519	335	17	estimator	estimator	NOUN
ejpam-3519	335	18	and	and	CCONJ
ejpam-3519	335	19	the	the	DET
ejpam-3519	335	20	actual	actual	ADJ
ejpam-3519	335	21	value	value	NOUN
ejpam-3519	335	22	of	of	ADP
ejpam-3519	335	23	the	the	DET
ejpam-3519	335	24	quantity	quantity	NOUN
ejpam-3519	335	25	to	to	PART
ejpam-3519	335	26	be	be	AUX
ejpam-3519	335	27	calculated	calculate	VERB
ejpam-3519	335	28	.	.	PUNCT
ejpam-3519	336	1	it	it	PRON
ejpam-3519	336	2	provides	provide	VERB
ejpam-3519	336	3	a	a	DET
ejpam-3519	336	4	way	way	NOUN
ejpam-3519	336	5	to	to	PART
ejpam-3519	336	6	choose	choose	VERB
ejpam-3519	336	7	the	the	DET
ejpam-3519	336	8	best	good	ADJ
ejpam-3519	336	9	estimator	estimator	NOUN
ejpam-3519	336	10	.	.	PUNCT
ejpam-3519	337	1	the	the	DET
ejpam-3519	337	2	proposition	proposition	NOUN
ejpam-3519	337	3	gives	give	VERB
ejpam-3519	337	4	the	the	DET
ejpam-3519	337	5	mean	mean	ADJ
ejpam-3519	337	6	squared	square	VERB
ejpam-3519	337	7	error	error	NOUN
ejpam-3519	337	8	(	(	PUNCT
ejpam-3519	337	9	mse	mse	NOUN
ejpam-3519	337	10	)	)	PUNCT
ejpam-3519	337	11	and	and	CCONJ
ejpam-3519	337	12	the	the	DET
ejpam-3519	337	13	integrated	integrate	VERB
ejpam-3519	337	14	mean	mean	NOUN
ejpam-3519	337	15	squared	square	VERB
ejpam-3519	337	16	error	error	NOUN
ejpam-3519	337	17	(	(	PUNCT
ejpam-3519	337	18	mise	mise	NOUN
ejpam-3519	337	19	)	)	PUNCT
ejpam-3519	337	20	of	of	ADP
ejpam-3519	337	21	the	the	DET
ejpam-3519	337	22	circular	circular	ADJ
ejpam-3519	337	23	kernel	kernel	NOUN
ejpam-3519	337	24	estimator	estimator	NOUN
ejpam-3519	337	25	,	,	PUNCT
ejpam-3519	337	26	and	and	CCONJ
ejpam-3519	337	27	is	be	AUX
ejpam-3519	337	28	therefore	therefore	ADV
ejpam-3519	337	29	the	the	DET
ejpam-3519	337	30	second	second	ADJ
ejpam-3519	337	31	result	result	NOUN
ejpam-3519	337	32	of	of	ADP
ejpam-3519	337	33	this	this	DET
ejpam-3519	337	34	paper	paper	NOUN
ejpam-3519	337	35	.	.	PUNCT
ejpam-3519	338	1	7.1.2	7.1.2	X
ejpam-3519	338	2	.	.	PUNCT
ejpam-3519	338	3	mean	mean	VERB
ejpam-3519	338	4	squared	square	VERB
ejpam-3519	338	5	error	error	NOUN
ejpam-3519	338	6	(	(	PUNCT
ejpam-3519	338	7	mse	mse	NOUN
ejpam-3519	338	8	)	)	PUNCT
ejpam-3519	338	9	and	and	CCONJ
ejpam-3519	338	10	mean	mean	VERB
ejpam-3519	338	11	integrated	integrate	VERB
ejpam-3519	338	12	squared	square	VERB
ejpam-3519	338	13	error	error	NOUN
ejpam-3519	338	14	(	(	PUNCT
ejpam-3519	338	15	mise	mise	NOUN
ejpam-3519	338	16	)	)	PUNCT
ejpam-3519	338	17	the	the	DET
ejpam-3519	338	18	mean	mean	ADJ
ejpam-3519	338	19	squared	square	VERB
ejpam-3519	338	20	error	error	NOUN
ejpam-3519	338	21	(	(	PUNCT
ejpam-3519	338	22	mse	mse	NOUN
ejpam-3519	338	23	)	)	PUNCT
ejpam-3519	338	24	and	and	CCONJ
ejpam-3519	338	25	the	the	DET
ejpam-3519	338	26	mean	mean	NOUN
ejpam-3519	338	27	integrated	integrate	VERB
ejpam-3519	338	28	squared	square	VERB
ejpam-3519	338	29	error	error	NOUN
ejpam-3519	338	30	(	(	PUNCT
ejpam-3519	338	31	mise	mise	NOUN
ejpam-3519	338	32	)	)	PUNCT
ejpam-3519	338	33	of	of	ADP
ejpam-3519	338	34	the	the	DET
ejpam-3519	338	35	circular	circular	ADJ
ejpam-3519	338	36	kernel	kernel	PROPN
ejpam-3519	338	37	estimator	estimator	NOUN
ejpam-3519	338	38	are	be	AUX
ejpam-3519	338	39	given	give	VERB
ejpam-3519	338	40	by	by	ADP
ejpam-3519	338	41	the	the	DET
ejpam-3519	338	42	following	follow	VERB
ejpam-3519	338	43	result	result	NOUN
ejpam-3519	338	44	:	:	PUNCT
ejpam-3519	338	45	proposition	proposition	NOUN
ejpam-3519	338	46	5	5	NUM
ejpam-3519	338	47	.	.	PUNCT
ejpam-3519	339	1	the	the	DET
ejpam-3519	339	2	mean	mean	ADJ
ejpam-3519	339	3	square	square	ADJ
ejpam-3519	339	4	error	error	NOUN
ejpam-3519	339	5	(	(	PUNCT
ejpam-3519	339	6	mse	mse	NOUN
ejpam-3519	339	7	)	)	PUNCT
ejpam-3519	339	8	and	and	CCONJ
ejpam-3519	339	9	the	the	DET
ejpam-3519	339	10	mean	mean	NOUN
ejpam-3519	339	11	integrated	integrate	VERB
ejpam-3519	339	12	squared	square	VERB
ejpam-3519	339	13	error	error	NOUN
ejpam-3519	339	14	(	(	PUNCT
ejpam-3519	339	15	mise	mise	NOUN
ejpam-3519	339	16	)	)	PUNCT
ejpam-3519	339	17	of	of	ADP
ejpam-3519	339	18	the	the	DET
ejpam-3519	339	19	circular	circular	ADJ
ejpam-3519	339	20	kernel	kernel	PROPN
ejpam-3519	339	21	estimator	estimator	PROPN
ejpam-3519	339	22	f̂	f̂	PROPN
ejpam-3519	339	23	of	of	ADP
ejpam-3519	339	24	the	the	DET
ejpam-3519	339	25	relation	relation	NOUN
ejpam-3519	339	26	(	(	PUNCT
ejpam-3519	339	27	35	35	NUM
ejpam-3519	339	28	)	)	PUNCT
ejpam-3519	339	29	are	be	AUX
ejpam-3519	339	30	given	give	VERB
ejpam-3519	339	31	respectively	respectively	ADV
ejpam-3519	339	32	by	by	ADP
ejpam-3519	339	33	:	:	PUNCT
ejpam-3519	339	34	(	(	PUNCT
ejpam-3519	339	35	i	i	NOUN
ejpam-3519	339	36	)	)	PUNCT
ejpam-3519	339	37	mse(f̂	mse(f̂	PROPN
ejpam-3519	339	38	)	)	PUNCT
ejpam-3519	340	1	≈	≈	PROPN
ejpam-3519	340	2	b4n	b4n	ADJ
ejpam-3519	340	3	4	4	NUM
ejpam-3519	340	4	(	(	PUNCT
ejpam-3519	340	5	1−	1−	NUM
ejpam-3519	340	6	8	8	NUM
ejpam-3519	340	7	π2	π2	ADJ
ejpam-3519	340	8	)	)	PUNCT
ejpam-3519	340	9	2f	2f	NUM
ejpam-3519	340	10	′′2(x	′′2(x	NOUN
ejpam-3519	340	11	)	)	PUNCT
ejpam-3519	341	1	+	+	CCONJ
ejpam-3519	341	2	π2	π2	NUM
ejpam-3519	341	3	16nbn	16nbn	NOUN
ejpam-3519	341	4	f(x	f(x	PROPN
ejpam-3519	341	5	)	)	PUNCT
ejpam-3519	341	6	;	;	PUNCT
ejpam-3519	341	7	(	(	PUNCT
ejpam-3519	341	8	ii	ii	NOUN
ejpam-3519	341	9	)	)	PUNCT
ejpam-3519	341	10	mise(f̂	mise(f̂	NUM
ejpam-3519	341	11	)	)	PUNCT
ejpam-3519	342	1	≈	≈	NUM
ejpam-3519	342	2	b2n	b2n	ADP
ejpam-3519	342	3	4	4	NUM
ejpam-3519	342	4	(	(	PUNCT
ejpam-3519	342	5	1−	1−	NUM
ejpam-3519	342	6	8	8	NUM
ejpam-3519	342	7	π2	π2	NOUN
ejpam-3519	342	8	)	)	PUNCT
ejpam-3519	342	9	2i1	2i1	NUM
ejpam-3519	342	10	+	+	CCONJ
ejpam-3519	342	11	π2	π2	ADJ
ejpam-3519	342	12	16nbn	16nbn	NOUN
ejpam-3519	342	13	i2	i2	PROPN
ejpam-3519	342	14	,	,	PUNCT
ejpam-3519	342	15	where	where	SCONJ
ejpam-3519	342	16	i1	i1	PROPN
ejpam-3519	342	17	=	=	PROPN
ejpam-3519	342	18	∫	∫	PROPN
ejpam-3519	342	19	f	f	PROPN
ejpam-3519	342	20	′′2(x)dx	′′2(x)dx	VERB
ejpam-3519	342	21	and	and	CCONJ
ejpam-3519	342	22	i2	i2	PROPN
ejpam-3519	342	23	=	=	SYM
ejpam-3519	342	24	∫	∫	PROPN
ejpam-3519	342	25	f(x)dx	f(x)dx	NUM
ejpam-3519	342	26	.	.	PUNCT
ejpam-3519	343	1	proof	proof	NOUN
ejpam-3519	343	2	.	.	PUNCT
ejpam-3519	344	1	(	(	PUNCT
ejpam-3519	344	2	i	i	NOUN
ejpam-3519	344	3	)	)	PUNCT
ejpam-3519	344	4	according	accord	VERB
ejpam-3519	344	5	to	to	ADP
ejpam-3519	344	6	the	the	DET
ejpam-3519	344	7	definition	definition	NOUN
ejpam-3519	344	8	of	of	ADP
ejpam-3519	344	9	the	the	DET
ejpam-3519	344	10	mean	mean	ADJ
ejpam-3519	344	11	squared	square	VERB
ejpam-3519	344	12	error	error	NOUN
ejpam-3519	344	13	,	,	PUNCT
ejpam-3519	344	14	we	we	PRON
ejpam-3519	344	15	have	have	AUX
ejpam-3519	344	16	:	:	PUNCT
ejpam-3519	344	17	mse(f̂	mse(f̂	ADJ
ejpam-3519	344	18	)	)	PUNCT
ejpam-3519	344	19	=	=	SYM
ejpam-3519	344	20	v(f(x	v(f(x	PROPN
ejpam-3519	344	21	)	)	PUNCT
ejpam-3519	344	22	)	)	PUNCT
ejpam-3519	345	1	+	+	NOUN
ejpam-3519	345	2	bias(f̂(x))2	bias(f̂(x))2	NOUN
ejpam-3519	345	3	=	=	SYM
ejpam-3519	345	4	1	1	NUM
ejpam-3519	345	5	nbn	nbn	NOUN
ejpam-3519	345	6	f(x	f(x	PROPN
ejpam-3519	345	7	)	)	PUNCT
ejpam-3519	345	8	π2	π2	ADP
ejpam-3519	345	9	16	16	NUM
ejpam-3519	346	1	+	+	NOUN
ejpam-3519	346	2	o	o	PROPN
ejpam-3519	346	3	(	(	PUNCT
ejpam-3519	346	4	1	1	NUM
ejpam-3519	346	5	nbn	nbn	NOUN
ejpam-3519	346	6	)	)	PUNCT
ejpam-3519	347	1	+	+	CCONJ
ejpam-3519	347	2	[	[	PUNCT
ejpam-3519	347	3	b2n	b2n	NUM
ejpam-3519	347	4	2	2	NUM
ejpam-3519	347	5	f	f	PROPN
ejpam-3519	347	6	′′(x	′′(x	NOUN
ejpam-3519	347	7	)	)	PUNCT
ejpam-3519	347	8	[	[	PUNCT
ejpam-3519	347	9	1−	1−	NUM
ejpam-3519	347	10	8	8	NUM
ejpam-3519	347	11	π2	π2	NOUN
ejpam-3519	347	12	]	]	PUNCT
ejpam-3519	347	13	+	+	ADJ
ejpam-3519	347	14	o(b2n	o(b2n	X
ejpam-3519	347	15	)	)	PUNCT
ejpam-3519	347	16	]	]	PUNCT
ejpam-3519	347	17	2	2	X
ejpam-3519	347	18	≈	≈	NUM
ejpam-3519	347	19	1	1	NUM
ejpam-3519	347	20	nbn	nbn	PROPN
ejpam-3519	347	21	f(x	f(x	PROPN
ejpam-3519	347	22	)	)	PUNCT
ejpam-3519	348	1	π2	π2	ADP
ejpam-3519	348	2	16	16	NUM
ejpam-3519	349	1	+	+	CCONJ
ejpam-3519	349	2	[	[	PUNCT
ejpam-3519	349	3	b2n	b2n	NUM
ejpam-3519	349	4	2	2	NUM
ejpam-3519	349	5	f	f	PROPN
ejpam-3519	349	6	′′(x	′′(x	NOUN
ejpam-3519	349	7	)	)	PUNCT
ejpam-3519	349	8	[	[	PUNCT
ejpam-3519	349	9	1−	1−	NUM
ejpam-3519	349	10	8	8	NUM
ejpam-3519	349	11	π2	π2	NOUN
ejpam-3519	349	12	]	]	PUNCT
ejpam-3519	349	13	]	]	X
ejpam-3519	349	14	2	2	NUM
ejpam-3519	349	15	d.	d.	PROPN
ejpam-3519	349	16	a.	a.	PROPN
ejpam-3519	349	17	n.	n.	PROPN
ejpam-3519	349	18	njamen	njamen	PROPN
ejpam-3519	349	19	,	,	PUNCT
ejpam-3519	349	20	h.	h.	PROPN
ejpam-3519	349	21	c.	c.	PROPN
ejpam-3519	349	22	yayebga	yayebga	PROPN
ejpam-3519	349	23	/	/	SYM
ejpam-3519	349	24	eur	eur	PROPN
ejpam-3519	349	25	.	.	PUNCT
ejpam-3519	350	1	j.	j.	PROPN
ejpam-3519	350	2	pure	pure	PROPN
ejpam-3519	350	3	appl	appl	PROPN
ejpam-3519	350	4	.	.	PROPN
ejpam-3519	350	5	math	math	PROPN
ejpam-3519	350	6	,	,	PUNCT
ejpam-3519	350	7	12	12	NUM
ejpam-3519	350	8	(	(	PUNCT
ejpam-3519	350	9	4	4	NUM
ejpam-3519	350	10	)	)	PUNCT
ejpam-3519	350	11	(	(	PUNCT
ejpam-3519	350	12	2019	2019	NUM
ejpam-3519	350	13	)	)	PUNCT
ejpam-3519	350	14	,	,	PUNCT
ejpam-3519	350	15	1612	1612	NUM
ejpam-3519	350	16	-	-	SYM
ejpam-3519	350	17	1642	1642	NUM
ejpam-3519	350	18	1628	1628	NUM
ejpam-3519	351	1	≈	≈	PROPN
ejpam-3519	351	2	b4n	b4n	ADJ
ejpam-3519	351	3	4	4	NUM
ejpam-3519	351	4	(	(	PUNCT
ejpam-3519	351	5	1−	1−	NUM
ejpam-3519	351	6	8	8	NUM
ejpam-3519	351	7	π2	π2	ADJ
ejpam-3519	351	8	)	)	PUNCT
ejpam-3519	351	9	2f	2f	NUM
ejpam-3519	351	10	′′2(x	′′2(x	NOUN
ejpam-3519	351	11	)	)	PUNCT
ejpam-3519	351	12	+	+	CCONJ
ejpam-3519	351	13	π2	π2	NUM
ejpam-3519	351	14	16nbn	16nbn	NOUN
ejpam-3519	351	15	f(x	f(x	PROPN
ejpam-3519	351	16	)	)	PUNCT
ejpam-3519	351	17	.	.	PUNCT
ejpam-3519	352	1	so	so	ADV
ejpam-3519	352	2	,	,	PUNCT
ejpam-3519	352	3	the	the	DET
ejpam-3519	352	4	mse(f̂	mse(f̂	PROPN
ejpam-3519	352	5	)	)	PUNCT
ejpam-3519	352	6	.	.	PUNCT
ejpam-3519	353	1	(	(	PUNCT
ejpam-3519	353	2	ii	ii	X
ejpam-3519	353	3	)	)	PUNCT
ejpam-3519	353	4	we	we	PRON
ejpam-3519	353	5	know	know	VERB
ejpam-3519	353	6	that	that	SCONJ
ejpam-3519	353	7	mise(f̂	mise(f̂	X
ejpam-3519	353	8	)	)	PUNCT
ejpam-3519	354	1	=	=	SYM
ejpam-3519	354	2	∫	∫	PROPN
ejpam-3519	354	3	mse(f̂)dx	mse(f̂)dx	PROPN
ejpam-3519	354	4	,	,	PUNCT
ejpam-3519	354	5	then	then	ADV
ejpam-3519	354	6	we	we	PRON
ejpam-3519	354	7	have	have	VERB
ejpam-3519	354	8	:	:	PUNCT
ejpam-3519	354	9	mise(f̂	mise(f̂	X
ejpam-3519	354	10	)	)	PUNCT
ejpam-3519	355	1	=	=	SYM
ejpam-3519	355	2	∫	∫	PROPN
ejpam-3519	355	3	mse(f̂)dx	mse(f̂)dx	PROPN
ejpam-3519	356	1	≈	≈	PROPN
ejpam-3519	356	2	∫	∫	PROPN
ejpam-3519	357	1	[	[	PUNCT
ejpam-3519	357	2	b4n	b4n	ADJ
ejpam-3519	357	3	4	4	NUM
ejpam-3519	357	4	(	(	PUNCT
ejpam-3519	357	5	1−	1−	NUM
ejpam-3519	357	6	8	8	NUM
ejpam-3519	357	7	π2	π2	ADJ
ejpam-3519	357	8	)	)	PUNCT
ejpam-3519	357	9	2f	2f	NUM
ejpam-3519	357	10	′′2(x	′′2(x	NOUN
ejpam-3519	357	11	)	)	PUNCT
ejpam-3519	357	12	+	+	CCONJ
ejpam-3519	357	13	π2	π2	NUM
ejpam-3519	357	14	16nbn	16nbn	NOUN
ejpam-3519	357	15	f(x	f(x	PROPN
ejpam-3519	357	16	)	)	PUNCT
ejpam-3519	357	17	]	]	PUNCT
ejpam-3519	358	1	dx	dx	PROPN
ejpam-3519	359	1	≈	≈	PROPN
ejpam-3519	359	2	b4n	b4n	ADJ
ejpam-3519	359	3	4	4	NUM
ejpam-3519	359	4	(	(	PUNCT
ejpam-3519	359	5	1−	1−	NUM
ejpam-3519	359	6	8	8	NUM
ejpam-3519	359	7	π2	π2	NOUN
ejpam-3519	359	8	)	)	PUNCT
ejpam-3519	359	9	2	2	NUM
ejpam-3519	359	10	∫	∫	PROPN
ejpam-3519	359	11	f	f	PROPN
ejpam-3519	359	12	′′2(x)dx+	′′2(x)dx+	PROPN
ejpam-3519	359	13	π2	π2	PROPN
ejpam-3519	359	14	16nbn	16nbn	PROPN
ejpam-3519	359	15	∫	∫	PROPN
ejpam-3519	359	16	f(x)dx	f(x)dx	NUM
ejpam-3519	359	17	.	.	PUNCT
ejpam-3519	359	18	by	by	ADP
ejpam-3519	359	19	posing	pose	VERB
ejpam-3519	359	20	i1	i1	PROPN
ejpam-3519	359	21	=	=	PUNCT
ejpam-3519	360	1	∫	∫	PROPN
ejpam-3519	360	2	f	f	PROPN
ejpam-3519	360	3	′′2(x)dx	′′2(x)dx	VERB
ejpam-3519	360	4	and	and	CCONJ
ejpam-3519	360	5	i2	i2	PROPN
ejpam-3519	360	6	=	=	SYM
ejpam-3519	360	7	∫	∫	PROPN
ejpam-3519	361	1	f(x)dx	f(x)dx	NUM
ejpam-3519	361	2	,	,	PUNCT
ejpam-3519	361	3	we	we	PRON
ejpam-3519	361	4	obtain	obtain	VERB
ejpam-3519	361	5	:	:	PUNCT
ejpam-3519	361	6	mise(f̂	mise(f̂	X
ejpam-3519	361	7	)	)	PUNCT
ejpam-3519	362	1	≈	≈	PROPN
ejpam-3519	362	2	b4n	b4n	ADJ
ejpam-3519	362	3	4	4	NUM
ejpam-3519	362	4	(	(	PUNCT
ejpam-3519	362	5	1−	1−	NUM
ejpam-3519	362	6	8	8	NUM
ejpam-3519	362	7	π2	π2	NOUN
ejpam-3519	362	8	)	)	PUNCT
ejpam-3519	362	9	2i1	2i1	NUM
ejpam-3519	362	10	+	+	CCONJ
ejpam-3519	362	11	π2	π2	ADJ
ejpam-3519	362	12	16nbn	16nbn	NOUN
ejpam-3519	362	13	i2	i2	PROPN
ejpam-3519	362	14	.	.	PUNCT
ejpam-3519	363	1	7.1.3	7.1.3	NUM
ejpam-3519	363	2	.	.	PUNCT
ejpam-3519	363	3	optimal	optimal	ADJ
ejpam-3519	363	4	window	window	NOUN
ejpam-3519	363	5	of	of	ADP
ejpam-3519	363	6	the	the	DET
ejpam-3519	363	7	circular	circular	ADJ
ejpam-3519	363	8	kernel	kernel	PROPN
ejpam-3519	363	9	estimator	estimator	NOUN
ejpam-3519	363	10	the	the	DET
ejpam-3519	363	11	following	following	ADJ
ejpam-3519	363	12	result	result	NOUN
ejpam-3519	363	13	gives	give	VERB
ejpam-3519	363	14	the	the	DET
ejpam-3519	363	15	optimal	optimal	ADJ
ejpam-3519	363	16	window	window	NOUN
ejpam-3519	363	17	of	of	ADP
ejpam-3519	363	18	the	the	DET
ejpam-3519	363	19	estimator	estimator	NOUN
ejpam-3519	363	20	(	(	PUNCT
ejpam-3519	363	21	35	35	NUM
ejpam-3519	363	22	)	)	PUNCT
ejpam-3519	363	23	and	and	CCONJ
ejpam-3519	363	24	is	be	AUX
ejpam-3519	363	25	the	the	DET
ejpam-3519	363	26	third	third	ADJ
ejpam-3519	363	27	result	result	NOUN
ejpam-3519	363	28	of	of	ADP
ejpam-3519	363	29	this	this	DET
ejpam-3519	363	30	article	article	NOUN
ejpam-3519	363	31	:	:	PUNCT
ejpam-3519	363	32	theorem	theorem	VERB
ejpam-3519	363	33	5	5	NUM
ejpam-3519	363	34	.	.	PUNCT
ejpam-3519	364	1	the	the	DET
ejpam-3519	364	2	optimal	optimal	ADJ
ejpam-3519	364	3	window	window	NOUN
ejpam-3519	364	4	of	of	ADP
ejpam-3519	364	5	the	the	DET
ejpam-3519	364	6	kernel	kernel	PROPN
ejpam-3519	364	7	estimator	estimator	PROPN
ejpam-3519	364	8	f̂	f̂	PROPN
ejpam-3519	364	9	of	of	ADP
ejpam-3519	364	10	the	the	DET
ejpam-3519	364	11	relation	relation	NOUN
ejpam-3519	364	12	(	(	PUNCT
ejpam-3519	364	13	35	35	NUM
ejpam-3519	364	14	)	)	PUNCT
ejpam-3519	364	15	is	be	AUX
ejpam-3519	364	16	given	give	VERB
ejpam-3519	364	17	by	by	ADP
ejpam-3519	364	18	:	:	PUNCT
ejpam-3519	364	19	b∗n	b∗n	NUM
ejpam-3519	364	20	=	=	SYM
ejpam-3519	364	21	π	π	SYM
ejpam-3519	364	22	5	5	NUM
ejpam-3519	364	23	√	√	NOUN
ejpam-3519	364	24	πi2	πi2	NOUN
ejpam-3519	364	25	16ni1(π2	16ni1(π2	NUM
ejpam-3519	364	26	−	−	PROPN
ejpam-3519	364	27	8)2	8)2	PROPN
ejpam-3519	364	28	.	.	PUNCT
ejpam-3519	365	1	(	(	PUNCT
ejpam-3519	365	2	39	39	NUM
ejpam-3519	365	3	)	)	PUNCT
ejpam-3519	365	4	proof	proof	NOUN
ejpam-3519	365	5	.	.	PUNCT
ejpam-3519	366	1	to	to	PART
ejpam-3519	366	2	determine	determine	VERB
ejpam-3519	366	3	the	the	DET
ejpam-3519	366	4	optimal	optimal	ADJ
ejpam-3519	366	5	window	window	NOUN
ejpam-3519	366	6	,	,	PUNCT
ejpam-3519	366	7	we	we	PRON
ejpam-3519	366	8	look	look	VERB
ejpam-3519	366	9	for	for	ADP
ejpam-3519	366	10	the	the	DET
ejpam-3519	366	11	value	value	NOUN
ejpam-3519	366	12	of	of	ADP
ejpam-3519	366	13	the	the	DET
ejpam-3519	366	14	window	window	NOUN
ejpam-3519	366	15	which	which	PRON
ejpam-3519	366	16	minimizes	minimize	VERB
ejpam-3519	366	17	the	the	DET
ejpam-3519	366	18	integrated	integrate	VERB
ejpam-3519	366	19	mean	mean	NOUN
ejpam-3519	366	20	squared	square	VERB
ejpam-3519	366	21	error	error	NOUN
ejpam-3519	366	22	.	.	PUNCT
ejpam-3519	367	1	for	for	ADP
ejpam-3519	367	2	that	that	PRON
ejpam-3519	367	3	,	,	PUNCT
ejpam-3519	367	4	let	let	VERB
ejpam-3519	367	5	’s	’s	PRON
ejpam-3519	367	6	look	look	VERB
ejpam-3519	367	7	for	for	ADP
ejpam-3519	367	8	the	the	DET
ejpam-3519	367	9	value	value	NOUN
ejpam-3519	367	10	of	of	ADP
ejpam-3519	367	11	bn	bn	INTJ
ejpam-3519	367	12	that	that	PRON
ejpam-3519	367	13	minimizes	minimize	VERB
ejpam-3519	367	14	the	the	DET
ejpam-3519	367	15	integrated	integrate	VERB
ejpam-3519	367	16	mean	mean	NOUN
ejpam-3519	367	17	squared	square	VERB
ejpam-3519	367	18	error	error	NOUN
ejpam-3519	367	19	.	.	PUNCT
ejpam-3519	368	1	according	accord	VERB
ejpam-3519	368	2	to	to	ADP
ejpam-3519	368	3	the	the	DET
ejpam-3519	368	4	above	above	ADJ
ejpam-3519	368	5	proposal	proposal	NOUN
ejpam-3519	368	6	,	,	PUNCT
ejpam-3519	368	7	we	we	PRON
ejpam-3519	368	8	have	have	VERB
ejpam-3519	368	9	:	:	PUNCT
ejpam-3519	368	10	mise(f̂	mise(f̂	X
ejpam-3519	368	11	)	)	PUNCT
ejpam-3519	369	1	≈	≈	PROPN
ejpam-3519	369	2	b4n	b4n	ADJ
ejpam-3519	369	3	4	4	NUM
ejpam-3519	369	4	(	(	PUNCT
ejpam-3519	369	5	1−	1−	NUM
ejpam-3519	369	6	8	8	NUM
ejpam-3519	369	7	π2	π2	NOUN
ejpam-3519	369	8	)	)	PUNCT
ejpam-3519	369	9	2i1	2i1	NUM
ejpam-3519	369	10	+	+	CCONJ
ejpam-3519	369	11	π2	π2	ADJ
ejpam-3519	369	12	16nbn	16nbn	NOUN
ejpam-3519	369	13	i2	i2	PROPN
ejpam-3519	369	14	.	.	PUNCT
ejpam-3519	370	1	by	by	ADP
ejpam-3519	370	2	deriving	derive	VERB
ejpam-3519	370	3	mise(f̂	mise(f̂	NUM
ejpam-3519	370	4	)	)	PUNCT
ejpam-3519	370	5	,	,	PUNCT
ejpam-3519	370	6	we	we	PRON
ejpam-3519	370	7	have	have	VERB
ejpam-3519	370	8	:	:	PUNCT
ejpam-3519	370	9	∂	∂	NUM
ejpam-3519	370	10	∂bn	∂bn	PROPN
ejpam-3519	370	11	mise(f̂	mise(f̂	X
ejpam-3519	370	12	)	)	PUNCT
ejpam-3519	370	13	=	=	SYM
ejpam-3519	370	14	∂	∂	NUM
ejpam-3519	370	15	∂bn	∂bn	PROPN
ejpam-3519	370	16	(	(	PUNCT
ejpam-3519	370	17	b4n	b4n	VERB
ejpam-3519	370	18	4	4	NUM
ejpam-3519	370	19	(	(	PUNCT
ejpam-3519	370	20	1−	1−	NUM
ejpam-3519	370	21	8	8	NUM
ejpam-3519	370	22	π2	π2	NOUN
ejpam-3519	370	23	)	)	PUNCT
ejpam-3519	370	24	2i1	2i1	NUM
ejpam-3519	370	25	+	+	CCONJ
ejpam-3519	370	26	π2	π2	NUM
ejpam-3519	370	27	16nbn	16nbn	PROPN
ejpam-3519	370	28	i2	i2	PROPN
ejpam-3519	370	29	)	)	PUNCT
ejpam-3519	370	30	d.	d.	PROPN
ejpam-3519	370	31	a.	a.	PROPN
ejpam-3519	370	32	n.	n.	PROPN
ejpam-3519	370	33	njamen	njamen	PROPN
ejpam-3519	370	34	,	,	PUNCT
ejpam-3519	370	35	h.	h.	PROPN
ejpam-3519	370	36	c.	c.	PROPN
ejpam-3519	370	37	yayebga	yayebga	PROPN
ejpam-3519	370	38	/	/	SYM
ejpam-3519	370	39	eur	eur	PROPN
ejpam-3519	370	40	.	.	PUNCT
ejpam-3519	371	1	j.	j.	PROPN
ejpam-3519	371	2	pure	pure	PROPN
ejpam-3519	371	3	appl	appl	PROPN
ejpam-3519	371	4	.	.	PROPN
ejpam-3519	371	5	math	math	PROPN
ejpam-3519	371	6	,	,	PUNCT
ejpam-3519	371	7	12	12	NUM
ejpam-3519	371	8	(	(	PUNCT
ejpam-3519	371	9	4	4	NUM
ejpam-3519	371	10	)	)	PUNCT
ejpam-3519	371	11	(	(	PUNCT
ejpam-3519	371	12	2019	2019	NUM
ejpam-3519	371	13	)	)	PUNCT
ejpam-3519	371	14	,	,	PUNCT
ejpam-3519	371	15	1612	1612	NUM
ejpam-3519	371	16	-	-	SYM
ejpam-3519	371	17	1642	1642	NUM
ejpam-3519	371	18	1629	1629	NUM
ejpam-3519	371	19	=	=	SYM
ejpam-3519	371	20	b3n	b3n	X
ejpam-3519	371	21	(	(	PUNCT
ejpam-3519	371	22	1−	1−	NUM
ejpam-3519	371	23	8	8	NUM
ejpam-3519	371	24	π2	π2	ADJ
ejpam-3519	371	25	)	)	PUNCT
ejpam-3519	371	26	2	2	NUM
ejpam-3519	371	27	i1	i1	PROPN
ejpam-3519	371	28	−	−	PROPN
ejpam-3519	371	29	π2	π2	PROPN
ejpam-3519	371	30	16nb2n	16nb2n	NUM
ejpam-3519	371	31	i2	i2	NOUN
ejpam-3519	371	32	.	.	PUNCT
ejpam-3519	372	1	by	by	ADP
ejpam-3519	372	2	canceling	cancel	VERB
ejpam-3519	372	3	the	the	DET
ejpam-3519	372	4	derivative	derivative	NOUN
ejpam-3519	372	5	above	above	ADV
ejpam-3519	372	6	,	,	PUNCT
ejpam-3519	372	7	we	we	PRON
ejpam-3519	372	8	have	have	VERB
ejpam-3519	372	9	:	:	PUNCT
ejpam-3519	372	10	∂	∂	NUM
ejpam-3519	372	11	∂bn	∂bn	PROPN
ejpam-3519	372	12	mise(f̂	mise(f̂	X
ejpam-3519	372	13	)	)	PUNCT
ejpam-3519	372	14	=	=	SYM
ejpam-3519	373	1	0	0	NUM
ejpam-3519	373	2	⇔	⇔	X
ejpam-3519	373	3	b3n	b3n	PROPN
ejpam-3519	373	4	(	(	PUNCT
ejpam-3519	373	5	1−	1−	NUM
ejpam-3519	373	6	8	8	NUM
ejpam-3519	373	7	π2	π2	ADJ
ejpam-3519	373	8	)	)	PUNCT
ejpam-3519	373	9	2	2	NUM
ejpam-3519	373	10	i1	i1	PROPN
ejpam-3519	373	11	−	−	PROPN
ejpam-3519	373	12	π2	π2	PROPN
ejpam-3519	373	13	16nb2n	16nb2n	NUM
ejpam-3519	373	14	i2	i2	NOUN
ejpam-3519	373	15	=	=	SYM
ejpam-3519	373	16	0	0	NUM
ejpam-3519	373	17	⇔	⇔	X
ejpam-3519	373	18	b5n	b5n	VERB
ejpam-3519	373	19	(	(	PUNCT
ejpam-3519	373	20	1−	1−	NUM
ejpam-3519	373	21	8	8	NUM
ejpam-3519	373	22	π2	π2	ADJ
ejpam-3519	373	23	)	)	PUNCT
ejpam-3519	373	24	2	2	NUM
ejpam-3519	373	25	i1	i1	NOUN
ejpam-3519	373	26	=	=	PUNCT
ejpam-3519	373	27	π2	π2	PROPN
ejpam-3519	373	28	16n	16n	PROPN
ejpam-3519	373	29	i2	i2	PROPN
ejpam-3519	373	30	⇔	⇔	PROPN
ejpam-3519	373	31	b5n	b5n	VERB
ejpam-3519	373	32	=	=	PUNCT
ejpam-3519	373	33	π2	π2	ADJ
ejpam-3519	373	34	16ni2	16ni2	NOUN
ejpam-3519	373	35	(	(	PUNCT
ejpam-3519	373	36	1−	1−	NUM
ejpam-3519	373	37	8	8	NUM
ejpam-3519	373	38	π2	π2	ADJ
ejpam-3519	373	39	)	)	PUNCT
ejpam-3519	373	40	2	2	NUM
ejpam-3519	373	41	i1	i1	PROPN
ejpam-3519	373	42	⇔	⇔	PROPN
ejpam-3519	373	43	bn	bn	PROPN
ejpam-3519	373	44	=	=	SYM
ejpam-3519	373	45	5	5	NUM
ejpam-3519	373	46	√√√√	√√√√	ADJ
ejpam-3519	373	47	π2	π2	ADJ
ejpam-3519	373	48	16ni2	16ni2	NOUN
ejpam-3519	373	49	(	(	PUNCT
ejpam-3519	373	50	1−	1−	NUM
ejpam-3519	373	51	8	8	NUM
ejpam-3519	373	52	π2	π2	ADJ
ejpam-3519	373	53	)	)	PUNCT
ejpam-3519	373	54	2	2	NUM
ejpam-3519	373	55	i1	i1	PROPN
ejpam-3519	373	56	.	.	PUNCT
ejpam-3519	374	1	moreover	moreover	ADV
ejpam-3519	374	2	,	,	PUNCT
ejpam-3519	374	3	∂2	∂2	PROPN
ejpam-3519	374	4	∂b2n	∂b2n	X
ejpam-3519	374	5	mise(f̂	mise(f̂	NUM
ejpam-3519	374	6	)	)	PUNCT
ejpam-3519	374	7	=	=	SYM
ejpam-3519	374	8	3b2n	3b2n	NOUN
ejpam-3519	374	9	(	(	PUNCT
ejpam-3519	374	10	1−	1−	NUM
ejpam-3519	374	11	8	8	NUM
ejpam-3519	374	12	π2	π2	ADJ
ejpam-3519	374	13	)	)	PUNCT
ejpam-3519	374	14	2	2	NUM
ejpam-3519	374	15	i1	i1	NOUN
ejpam-3519	374	16	+	+	CCONJ
ejpam-3519	374	17	π2	π2	PROPN
ejpam-3519	374	18	8nb3n	8nb3n	PROPN
ejpam-3519	374	19	i2	i2	PROPN
ejpam-3519	374	20	>	>	X
ejpam-3519	374	21	0	0	X
ejpam-3519	374	22	.	.	PUNCT
ejpam-3519	375	1	as	as	SCONJ
ejpam-3519	375	2	the	the	DET
ejpam-3519	375	3	quantities	quantity	NOUN
ejpam-3519	375	4	3b2n	3b2n	NOUN
ejpam-3519	375	5	(	(	PUNCT
ejpam-3519	375	6	1−	1−	NUM
ejpam-3519	375	7	8	8	NUM
ejpam-3519	375	8	π2	π2	NOUN
ejpam-3519	375	9	)	)	PUNCT
ejpam-3519	375	10	2	2	NUM
ejpam-3519	375	11	and	and	CCONJ
ejpam-3519	375	12	8nb3n	8nb3n	NUM
ejpam-3519	375	13	are	be	AUX
ejpam-3519	375	14	positive	positive	ADJ
ejpam-3519	375	15	,	,	PUNCT
ejpam-3519	375	16	and	and	CCONJ
ejpam-3519	375	17	since	since	SCONJ
ejpam-3519	375	18	i1	i1	PROPN
ejpam-3519	375	19	and	and	CCONJ
ejpam-3519	375	20	i2	i2	PROPN
ejpam-3519	375	21	are	be	AUX
ejpam-3519	375	22	also	also	ADV
ejpam-3519	375	23	positive	positive	ADJ
ejpam-3519	375	24	according	accord	VERB
ejpam-3519	375	25	to	to	ADP
ejpam-3519	375	26	condition	condition	NOUN
ejpam-3519	375	27	(	(	PUNCT
ejpam-3519	375	28	c.4	c.4	PROPN
ejpam-3519	375	29	)	)	PUNCT
ejpam-3519	375	30	,	,	PUNCT
ejpam-3519	375	31	then	then	ADV
ejpam-3519	375	32	we	we	PRON
ejpam-3519	375	33	conclude	conclude	VERB
ejpam-3519	375	34	that	that	SCONJ
ejpam-3519	375	35	the	the	DET
ejpam-3519	375	36	value	value	NOUN
ejpam-3519	375	37	of	of	ADP
ejpam-3519	375	38	bn	bn	INTJ
ejpam-3519	375	39	that	that	PRON
ejpam-3519	375	40	minimizes	minimize	VERB
ejpam-3519	375	41	the	the	DET
ejpam-3519	375	42	integrated	integrate	VERB
ejpam-3519	375	43	mean	mean	NOUN
ejpam-3519	375	44	squared	square	VERB
ejpam-3519	375	45	error	error	NOUN
ejpam-3519	375	46	is	be	AUX
ejpam-3519	375	47	:	:	PUNCT
ejpam-3519	376	1	b∗n	b∗n	NUM
ejpam-3519	376	2	=	=	SYM
ejpam-3519	376	3	π	π	SYM
ejpam-3519	376	4	5	5	NUM
ejpam-3519	376	5	√	√	NOUN
ejpam-3519	376	6	πi2	πi2	NOUN
ejpam-3519	376	7	16ni1(π2	16ni1(π2	NUM
ejpam-3519	376	8	−	−	PROPN
ejpam-3519	376	9	8)2	8)2	PROPN
ejpam-3519	376	10	.	.	PUNCT
ejpam-3519	377	1	hence	hence	ADV
ejpam-3519	377	2	the	the	DET
ejpam-3519	377	3	result	result	NOUN
ejpam-3519	377	4	.	.	PUNCT
ejpam-3519	378	1	7.1.4	7.1.4	X
ejpam-3519	378	2	.	.	PUNCT
ejpam-3519	378	3	optimal	optimal	ADJ
ejpam-3519	378	4	mean	mean	NOUN
ejpam-3519	378	5	integrated	integrate	VERB
ejpam-3519	378	6	squared	square	VERB
ejpam-3519	378	7	error	error	NOUN
ejpam-3519	378	8	(	(	PUNCT
ejpam-3519	378	9	miseopt	miseopt	VERB
ejpam-3519	378	10	)	)	PUNCT
ejpam-3519	378	11	the	the	DET
ejpam-3519	378	12	following	following	ADJ
ejpam-3519	378	13	result	result	NOUN
ejpam-3519	378	14	gives	give	VERB
ejpam-3519	378	15	the	the	DET
ejpam-3519	378	16	optimal	optimal	ADJ
ejpam-3519	378	17	integrated	integrate	VERB
ejpam-3519	378	18	mean	mean	NOUN
ejpam-3519	378	19	squared	square	VERB
ejpam-3519	378	20	error	error	NOUN
ejpam-3519	378	21	(	(	PUNCT
ejpam-3519	378	22	miseopt	miseopt	VERB
ejpam-3519	378	23	)	)	PUNCT
ejpam-3519	378	24	of	of	ADP
ejpam-3519	378	25	the	the	DET
ejpam-3519	378	26	estimator	estimator	NOUN
ejpam-3519	378	27	(	(	PUNCT
ejpam-3519	378	28	35	35	NUM
ejpam-3519	378	29	)	)	PUNCT
ejpam-3519	378	30	and	and	CCONJ
ejpam-3519	378	31	represents	represent	VERB
ejpam-3519	378	32	the	the	DET
ejpam-3519	378	33	4th	4th	ADJ
ejpam-3519	378	34	result	result	NOUN
ejpam-3519	378	35	of	of	ADP
ejpam-3519	378	36	this	this	DET
ejpam-3519	378	37	article	article	NOUN
ejpam-3519	378	38	.	.	PUNCT
ejpam-3519	379	1	theorem	theorem	VERB
ejpam-3519	379	2	6	6	NUM
ejpam-3519	379	3	.	.	PUNCT
ejpam-3519	380	1	the	the	DET
ejpam-3519	380	2	optimal	optimal	ADJ
ejpam-3519	380	3	mean	mean	NOUN
ejpam-3519	380	4	integrated	integrate	VERB
ejpam-3519	380	5	squared	square	VERB
ejpam-3519	380	6	error	error	NOUN
ejpam-3519	380	7	denoted	denote	VERB
ejpam-3519	380	8	(	(	PUNCT
ejpam-3519	380	9	miseopt	miseopt	ADJ
ejpam-3519	380	10	)	)	PUNCT
ejpam-3519	380	11	of	of	ADP
ejpam-3519	380	12	the	the	DET
ejpam-3519	380	13	estimator	estimator	NOUN
ejpam-3519	380	14	(	(	PUNCT
ejpam-3519	380	15	35	35	NUM
ejpam-3519	380	16	)	)	PUNCT
ejpam-3519	380	17	is	be	AUX
ejpam-3519	380	18	given	give	VERB
ejpam-3519	380	19	by	by	ADP
ejpam-3519	380	20	:	:	PUNCT
ejpam-3519	380	21	miseopt(f̂	miseopt(f̂	NUM
ejpam-3519	380	22	)	)	PUNCT
ejpam-3519	380	23	=	=	SYM
ejpam-3519	380	24	5	5	NUM
ejpam-3519	380	25	(	(	PUNCT
ejpam-3519	380	26	π4i1i	π4i1i	ADP
ejpam-3519	380	27	4	4	NUM
ejpam-3519	380	28	2	2	NUM
ejpam-3519	380	29	(	(	PUNCT
ejpam-3519	380	30	π2	π2	ADV
ejpam-3519	380	31	−	−	PROPN
ejpam-3519	380	32	8)2	8)2	NUM
ejpam-3519	380	33	413	413	NUM
ejpam-3519	380	34	×	×	PROPN
ejpam-3519	380	35	n4	n4	PROPN
ejpam-3519	380	36	)	)	PUNCT
ejpam-3519	380	37	1	1	NUM
ejpam-3519	380	38	5	5	NUM
ejpam-3519	380	39	.	.	PUNCT
ejpam-3519	381	1	(	(	PUNCT
ejpam-3519	381	2	40	40	NUM
ejpam-3519	381	3	)	)	PUNCT
ejpam-3519	381	4	proof	proof	NOUN
ejpam-3519	381	5	.	.	PUNCT
ejpam-3519	382	1	we	we	PRON
ejpam-3519	382	2	know	know	VERB
ejpam-3519	382	3	that	that	SCONJ
ejpam-3519	382	4	the	the	DET
ejpam-3519	382	5	optimal	optimal	ADJ
ejpam-3519	382	6	mean	mean	NOUN
ejpam-3519	382	7	integrated	integrate	VERB
ejpam-3519	382	8	squared	square	VERB
ejpam-3519	382	9	error(miseopt	error(miseopt	PROPN
ejpam-3519	382	10	)	)	PUNCT
ejpam-3519	382	11	of	of	ADP
ejpam-3519	382	12	the	the	DET
ejpam-3519	382	13	estimator	estimator	NOUN
ejpam-3519	382	14	(	(	PUNCT
ejpam-3519	382	15	35	35	NUM
ejpam-3519	382	16	)	)	PUNCT
ejpam-3519	382	17	can	can	AUX
ejpam-3519	382	18	be	be	AUX
ejpam-3519	382	19	written	write	VERB
ejpam-3519	382	20	in	in	ADP
ejpam-3519	382	21	the	the	DET
ejpam-3519	382	22	form	form	NOUN
ejpam-3519	382	23	:	:	PUNCT
ejpam-3519	382	24	miseopt(f̂	miseopt(f̂	NUM
ejpam-3519	382	25	)	)	PUNCT
ejpam-3519	382	26	=	=	PUNCT
ejpam-3519	382	27	b∗4n	b∗4n	X
ejpam-3519	382	28	4	4	NUM
ejpam-3519	382	29	(	(	PUNCT
ejpam-3519	382	30	1−	1−	NUM
ejpam-3519	382	31	8	8	NUM
ejpam-3519	382	32	π2	π2	NOUN
ejpam-3519	382	33	)	)	PUNCT
ejpam-3519	382	34	2i1	2i1	NUM
ejpam-3519	382	35	+	+	CCONJ
ejpam-3519	382	36	π2	π2	ADJ
ejpam-3519	382	37	16nb∗n	16nb∗n	PROPN
ejpam-3519	382	38	i2	i2	PROPN
ejpam-3519	382	39	.	.	PUNCT
ejpam-3519	383	1	d.	d.	PROPN
ejpam-3519	383	2	a.	a.	PROPN
ejpam-3519	383	3	n.	n.	PROPN
ejpam-3519	383	4	njamen	njamen	PROPN
ejpam-3519	383	5	,	,	PUNCT
ejpam-3519	383	6	h.	h.	PROPN
ejpam-3519	383	7	c.	c.	PROPN
ejpam-3519	383	8	yayebga	yayebga	PROPN
ejpam-3519	383	9	/	/	SYM
ejpam-3519	383	10	eur	eur	PROPN
ejpam-3519	383	11	.	.	PUNCT
ejpam-3519	384	1	j.	j.	PROPN
ejpam-3519	384	2	pure	pure	PROPN
ejpam-3519	384	3	appl	appl	PROPN
ejpam-3519	384	4	.	.	PROPN
ejpam-3519	384	5	math	math	PROPN
ejpam-3519	384	6	,	,	PUNCT
ejpam-3519	384	7	12	12	NUM
ejpam-3519	384	8	(	(	PUNCT
ejpam-3519	384	9	4	4	NUM
ejpam-3519	384	10	)	)	PUNCT
ejpam-3519	384	11	(	(	PUNCT
ejpam-3519	384	12	2019	2019	NUM
ejpam-3519	384	13	)	)	PUNCT
ejpam-3519	384	14	,	,	PUNCT
ejpam-3519	384	15	1612	1612	NUM
ejpam-3519	384	16	-	-	SYM
ejpam-3519	384	17	1642	1642	NUM
ejpam-3519	384	18	1630	1630	NUM
ejpam-3519	384	19	then	then	ADV
ejpam-3519	384	20	,	,	PUNCT
ejpam-3519	384	21	by	by	ADP
ejpam-3519	384	22	replacing	replace	VERB
ejpam-3519	384	23	the	the	DET
ejpam-3519	384	24	optimal	optimal	ADJ
ejpam-3519	384	25	window	window	NOUN
ejpam-3519	384	26	b∗n	b∗n	NUM
ejpam-3519	384	27	by	by	ADP
ejpam-3519	384	28	its	its	PRON
ejpam-3519	384	29	value	value	NOUN
ejpam-3519	384	30	,	,	PUNCT
ejpam-3519	384	31	we	we	PRON
ejpam-3519	384	32	obtain	obtain	VERB
ejpam-3519	384	33	:	:	PUNCT
ejpam-3519	384	34	miseopt(f̂	miseopt(f̂	NUM
ejpam-3519	384	35	)	)	PUNCT
ejpam-3519	384	36	=	=	PUNCT
ejpam-3519	385	1	b∗4n	b∗4n	X
ejpam-3519	385	2	4	4	NUM
ejpam-3519	385	3	(	(	PUNCT
ejpam-3519	385	4	1−	1−	NUM
ejpam-3519	385	5	8	8	NUM
ejpam-3519	385	6	π2	π2	NOUN
ejpam-3519	385	7	)	)	PUNCT
ejpam-3519	385	8	2i1	2i1	NUM
ejpam-3519	386	1	+	+	CCONJ
ejpam-3519	386	2	π2	π2	ADJ
ejpam-3519	386	3	16nb∗n	16nb∗n	PROPN
ejpam-3519	386	4	i2	i2	NOUN
ejpam-3519	386	5	=	=	PUNCT
ejpam-3519	386	6	π4	π4	ADP
ejpam-3519	386	7	4	4	NUM
ejpam-3519	386	8	(	(	PUNCT
ejpam-3519	386	9	1−	1−	NUM
ejpam-3519	386	10	8	8	NUM
ejpam-3519	386	11	π2	π2	NOUN
ejpam-3519	386	12	)	)	PUNCT
ejpam-3519	386	13	2	2	NUM
ejpam-3519	386	14	i1	i1	PROPN
ejpam-3519	386	15	5	5	NUM
ejpam-3519	386	16	√	√	PROPN
ejpam-3519	386	17	(	(	PUNCT
ejpam-3519	386	18	πi2	πi2	PROPN
ejpam-3519	386	19	16n(π2	16n(π2	NUM
ejpam-3519	386	20	−	−	PROPN
ejpam-3519	386	21	8)2	8)2	PROPN
ejpam-3519	386	22	)	)	PUNCT
ejpam-3519	386	23	4	4	NUM
ejpam-3519	387	1	+	+	CCONJ
ejpam-3519	387	2	π2i2	π2i2	PUNCT
ejpam-3519	387	3	16nπ	16nπ	NOUN
ejpam-3519	387	4	5	5	NUM
ejpam-3519	387	5	√	√	NUM
ejpam-3519	387	6	16ni1(π2	16ni1(π2	NUM
ejpam-3519	387	7	−	−	NUM
ejpam-3519	388	1	8)2	8)2	NUM
ejpam-3519	388	2	πi2	πi2	NOUN
ejpam-3519	388	3	=	=	SYM
ejpam-3519	388	4	1	1	NUM
ejpam-3519	388	5	4	4	NUM
ejpam-3519	388	6	(	(	PUNCT
ejpam-3519	388	7	π2	π2	ADV
ejpam-3519	388	8	−	−	PROPN
ejpam-3519	388	9	8)2π	8)2π	NUM
ejpam-3519	388	10	4	4	NUM
ejpam-3519	388	11	5	5	NUM
ejpam-3519	388	12	i	i	NOUN
ejpam-3519	388	13	4	4	NUM
ejpam-3519	388	14	5	5	NUM
ejpam-3519	388	15	2	2	NUM
ejpam-3519	388	16	i	i	NOUN
ejpam-3519	388	17	1	1	NUM
ejpam-3519	388	18	5	5	NUM
ejpam-3519	388	19	1	1	NUM
ejpam-3519	388	20	(	(	PUNCT
ejpam-3519	388	21	16n	16n	NUM
ejpam-3519	388	22	)	)	PUNCT
ejpam-3519	388	23	4	4	NUM
ejpam-3519	388	24	5	5	NUM
ejpam-3519	388	25	(	(	PUNCT
ejpam-3519	388	26	π2	π2	X
ejpam-3519	388	27	−	−	PROPN
ejpam-3519	388	28	8)	8)	NUM
ejpam-3519	388	29	8	8	NUM
ejpam-3519	388	30	5	5	NUM
ejpam-3519	388	31	+	+	CCONJ
ejpam-3519	388	32	π	π	PROPN
ejpam-3519	388	33	16n	16n	X
ejpam-3519	388	34	i	i	ADV
ejpam-3519	388	35	4	4	NUM
ejpam-3519	388	36	5	5	NUM
ejpam-3519	388	37	2	2	NUM
ejpam-3519	388	38	i	i	NOUN
ejpam-3519	388	39	1	1	NUM
ejpam-3519	388	40	5	5	NUM
ejpam-3519	388	41	1	1	NUM
ejpam-3519	388	42	(	(	PUNCT
ejpam-3519	388	43	16n	16n	NUM
ejpam-3519	388	44	)	)	PUNCT
ejpam-3519	388	45	1	1	NUM
ejpam-3519	388	46	5	5	NUM
ejpam-3519	388	47	(	(	PUNCT
ejpam-3519	388	48	π2	π2	X
ejpam-3519	388	49	−	−	PROPN
ejpam-3519	388	50	8)	8)	NUM
ejpam-3519	388	51	2	2	NUM
ejpam-3519	388	52	5	5	NUM
ejpam-3519	388	53	π	π	NOUN
ejpam-3519	388	54	1	1	NUM
ejpam-3519	388	55	5	5	NUM
ejpam-3519	388	56	=	=	SYM
ejpam-3519	388	57	1	1	NUM
ejpam-3519	388	58	4	4	NUM
ejpam-3519	388	59	(	(	PUNCT
ejpam-3519	388	60	π2	π2	X
ejpam-3519	388	61	−	−	PROPN
ejpam-3519	388	62	8)	8)	NUM
ejpam-3519	388	63	2	2	NUM
ejpam-3519	388	64	5π	5π	NUM
ejpam-3519	388	65	4	4	NUM
ejpam-3519	388	66	5	5	NUM
ejpam-3519	388	67	i	i	NOUN
ejpam-3519	388	68	4	4	NUM
ejpam-3519	388	69	5	5	NUM
ejpam-3519	388	70	2	2	NUM
ejpam-3519	388	71	i	i	NOUN
ejpam-3519	388	72	1	1	NUM
ejpam-3519	388	73	5	5	NUM
ejpam-3519	388	74	1	1	NUM
ejpam-3519	388	75	(	(	PUNCT
ejpam-3519	388	76	16n	16n	NUM
ejpam-3519	388	77	)	)	PUNCT
ejpam-3519	388	78	4	4	NUM
ejpam-3519	388	79	5	5	NUM
ejpam-3519	388	80	+	+	CCONJ
ejpam-3519	388	81	π	π	PROPN
ejpam-3519	388	82	4	4	NUM
ejpam-3519	388	83	5	5	NUM
ejpam-3519	388	84	i	i	NOUN
ejpam-3519	388	85	4	4	NUM
ejpam-3519	388	86	5	5	NUM
ejpam-3519	388	87	2	2	NUM
ejpam-3519	388	88	i	i	NOUN
ejpam-3519	388	89	1	1	NUM
ejpam-3519	388	90	5	5	NUM
ejpam-3519	388	91	1	1	NUM
ejpam-3519	388	92	(	(	PUNCT
ejpam-3519	388	93	π2	π2	X
ejpam-3519	388	94	−	−	PROPN
ejpam-3519	388	95	8)	8)	NUM
ejpam-3519	388	96	2	2	NUM
ejpam-3519	388	97	5	5	NUM
ejpam-3519	388	98	(	(	PUNCT
ejpam-3519	388	99	16n	16n	NUM
ejpam-3519	388	100	)	)	PUNCT
ejpam-3519	388	101	4	4	NUM
ejpam-3519	388	102	5	5	NUM
ejpam-3519	388	103	=	=	SYM
ejpam-3519	388	104	5	5	NUM
ejpam-3519	388	105	4	4	NUM
ejpam-3519	388	106	π	π	NOUN
ejpam-3519	388	107	4	4	NUM
ejpam-3519	388	108	5	5	NUM
ejpam-3519	388	109	i	i	NOUN
ejpam-3519	388	110	4	4	NUM
ejpam-3519	388	111	5	5	NUM
ejpam-3519	388	112	2	2	NUM
ejpam-3519	388	113	i	i	NOUN
ejpam-3519	388	114	1	1	NUM
ejpam-3519	388	115	5	5	NUM
ejpam-3519	388	116	1	1	NUM
ejpam-3519	388	117	(	(	PUNCT
ejpam-3519	388	118	π2	π2	X
ejpam-3519	388	119	−	−	PROPN
ejpam-3519	388	120	8)	8)	NUM
ejpam-3519	388	121	2	2	NUM
ejpam-3519	388	122	5	5	NUM
ejpam-3519	388	123	(	(	PUNCT
ejpam-3519	388	124	16n	16n	NUM
ejpam-3519	388	125	)	)	PUNCT
ejpam-3519	388	126	4	4	NUM
ejpam-3519	388	127	5	5	NUM
ejpam-3519	388	128	=	=	SYM
ejpam-3519	388	129	5	5	NUM
ejpam-3519	388	130	(	(	PUNCT
ejpam-3519	388	131	π4i1i	π4i1i	ADP
ejpam-3519	388	132	4	4	NUM
ejpam-3519	388	133	2	2	NUM
ejpam-3519	388	134	(	(	PUNCT
ejpam-3519	388	135	π2	π2	ADV
ejpam-3519	388	136	−	−	PROPN
ejpam-3519	388	137	8)2	8)2	NUM
ejpam-3519	388	138	413	413	NUM
ejpam-3519	388	139	×	×	PROPN
ejpam-3519	388	140	n4	n4	PROPN
ejpam-3519	388	141	)	)	PUNCT
ejpam-3519	388	142	1	1	NUM
ejpam-3519	388	143	5	5	NUM
ejpam-3519	388	144	.	.	PUNCT
ejpam-3519	389	1	hence	hence	ADV
ejpam-3519	389	2	the	the	DET
ejpam-3519	389	3	result	result	NOUN
ejpam-3519	389	4	.	.	PUNCT
ejpam-3519	390	1	7.2	7.2	NUM
ejpam-3519	390	2	.	.	PUNCT
ejpam-3519	390	3	case	case	NOUN
ejpam-3519	390	4	of	of	ADP
ejpam-3519	390	5	the	the	DET
ejpam-3519	390	6	risk	risk	NOUN
ejpam-3519	390	7	function	function	VERB
ejpam-3519	390	8	the	the	DET
ejpam-3519	390	9	following	follow	VERB
ejpam-3519	390	10	theorem	theorem	NOUN
ejpam-3519	390	11	gives	give	VERB
ejpam-3519	390	12	the	the	DET
ejpam-3519	390	13	bias	bias	NOUN
ejpam-3519	390	14	and	and	CCONJ
ejpam-3519	390	15	variance	variance	NOUN
ejpam-3519	390	16	of	of	ADP
ejpam-3519	390	17	the	the	DET
ejpam-3519	390	18	circular	circular	ADJ
ejpam-3519	390	19	kernel	kernel	NOUN
ejpam-3519	390	20	risk	risk	NOUN
ejpam-3519	390	21	function	function	NOUN
ejpam-3519	390	22	estimator	estimator	NOUN
ejpam-3519	390	23	and	and	CCONJ
ejpam-3519	390	24	is	be	AUX
ejpam-3519	390	25	the	the	DET
ejpam-3519	390	26	5th	5th	ADJ
ejpam-3519	390	27	result	result	NOUN
ejpam-3519	390	28	of	of	ADP
ejpam-3519	390	29	this	this	DET
ejpam-3519	390	30	article	article	NOUN
ejpam-3519	390	31	.	.	PUNCT
ejpam-3519	391	1	theorem	theorem	VERB
ejpam-3519	391	2	7	7	NUM
ejpam-3519	391	3	.	.	PUNCT
ejpam-3519	392	1	the	the	DET
ejpam-3519	392	2	bias	bias	NOUN
ejpam-3519	392	3	and	and	CCONJ
ejpam-3519	392	4	variance	variance	NOUN
ejpam-3519	392	5	of	of	ADP
ejpam-3519	392	6	the	the	DET
ejpam-3519	392	7	risk	risk	NOUN
ejpam-3519	392	8	function	function	NOUN
ejpam-3519	392	9	estimator	estimator	NOUN
ejpam-3519	392	10	ĥ	ĥ	PROPN
ejpam-3519	392	11	of	of	ADP
ejpam-3519	392	12	the	the	DET
ejpam-3519	392	13	circular	circular	ADJ
ejpam-3519	392	14	kernel	kernel	NOUN
ejpam-3519	392	15	are	be	AUX
ejpam-3519	392	16	respectively	respectively	ADV
ejpam-3519	392	17	given	give	VERB
ejpam-3519	392	18	by	by	ADP
ejpam-3519	392	19	:	:	PUNCT
ejpam-3519	392	20	biais(ĥ(x	biais(ĥ(x	NOUN
ejpam-3519	392	21	)	)	PUNCT
ejpam-3519	392	22	)	)	PUNCT
ejpam-3519	393	1	=	=	SYM
ejpam-3519	393	2	b2nf	b2nf	PUNCT
ejpam-3519	393	3	′′(x)(π2	′′(x)(π2	ADP
ejpam-3519	393	4	−	−	PROPN
ejpam-3519	393	5	8)	8)	NUM
ejpam-3519	393	6	2π2s(x	2π2s(x	NUM
ejpam-3519	393	7	)	)	PUNCT
ejpam-3519	394	1	+	+	NOUN
ejpam-3519	394	2	o(1	o(1	NOUN
ejpam-3519	394	3	)	)	PUNCT
ejpam-3519	394	4	,	,	PUNCT
ejpam-3519	394	5	(	(	PUNCT
ejpam-3519	394	6	41	41	NUM
ejpam-3519	394	7	)	)	PUNCT
ejpam-3519	394	8	and	and	CCONJ
ejpam-3519	394	9	,	,	PUNCT
ejpam-3519	394	10	v(ĥ(x	v(ĥ(x	NOUN
ejpam-3519	394	11	)	)	PUNCT
ejpam-3519	394	12	)	)	PUNCT
ejpam-3519	395	1	=	=	PUNCT
ejpam-3519	395	2	π2	π2	ADV
ejpam-3519	395	3	16	16	NUM
ejpam-3519	395	4	.	.	PUNCT
ejpam-3519	395	5	1	1	NUM
ejpam-3519	395	6	nbn	nbn	NOUN
ejpam-3519	395	7	.	.	PUNCT
ejpam-3519	396	1	h(x	h(x	PROPN
ejpam-3519	396	2	)	)	PUNCT
ejpam-3519	396	3	s(x	s(x	PROPN
ejpam-3519	396	4	)	)	PUNCT
ejpam-3519	397	1	+	+	NOUN
ejpam-3519	397	2	o	o	X
ejpam-3519	397	3	(	(	PUNCT
ejpam-3519	397	4	(	(	PUNCT
ejpam-3519	397	5	nb2n)−1	nb2n)−1	NOUN
ejpam-3519	397	6	)	)	PUNCT
ejpam-3519	397	7	.	.	PUNCT
ejpam-3519	398	1	proof	proof	NOUN
ejpam-3519	398	2	.	.	PUNCT
ejpam-3519	399	1	the	the	DET
ejpam-3519	399	2	expectancy	expectancy	NOUN
ejpam-3519	399	3	of	of	ADP
ejpam-3519	399	4	the	the	DET
ejpam-3519	399	5	risk	risk	NOUN
ejpam-3519	399	6	function	function	NOUN
ejpam-3519	399	7	estimator	estimator	NOUN
ejpam-3519	399	8	of	of	ADP
ejpam-3519	399	9	the	the	DET
ejpam-3519	399	10	circular	circular	ADJ
ejpam-3519	399	11	kernel	kernel	NOUN
ejpam-3519	399	12	is	be	AUX
ejpam-3519	399	13	:	:	PUNCT
ejpam-3519	399	14	e(ĥ(x	e(ĥ(x	ADJ
ejpam-3519	399	15	)	)	PUNCT
ejpam-3519	399	16	)	)	PUNCT
ejpam-3519	400	1	=	=	SYM
ejpam-3519	400	2	e	e	X
ejpam-3519	400	3	(	(	PUNCT
ejpam-3519	400	4	f̂(x	f̂(x	NOUN
ejpam-3519	400	5	)	)	PUNCT
ejpam-3519	400	6	ŝ(x	ŝ(x	NUM
ejpam-3519	400	7	)	)	PUNCT
ejpam-3519	400	8	)	)	PUNCT
ejpam-3519	401	1	=	=	SYM
ejpam-3519	401	2	e(f̂(x	e(f̂(x	NOUN
ejpam-3519	401	3	)	)	PUNCT
ejpam-3519	401	4	)	)	PUNCT
ejpam-3519	402	1	e(ŝ(x	e(ŝ(x	NOUN
ejpam-3519	402	2	)	)	PUNCT
ejpam-3519	402	3	)	)	PUNCT
ejpam-3519	403	1	=	=	SYM
ejpam-3519	403	2	f(x	f(x	PROPN
ejpam-3519	403	3	)	)	PUNCT
ejpam-3519	404	1	+	+	CCONJ
ejpam-3519	404	2	b2n	b2n	NUM
ejpam-3519	404	3	2	2	NUM
ejpam-3519	404	4	(	(	PUNCT
ejpam-3519	404	5	1−	1−	NUM
ejpam-3519	404	6	8	8	NUM
ejpam-3519	404	7	π2	π2	NOUN
ejpam-3519	404	8	)	)	PUNCT
ejpam-3519	404	9	f	f	PROPN
ejpam-3519	404	10	′′(x	′′(x	NOUN
ejpam-3519	404	11	)	)	PUNCT
ejpam-3519	404	12	s(x	s(x	PROPN
ejpam-3519	404	13	)	)	PUNCT
ejpam-3519	405	1	+	+	SYM
ejpam-3519	405	2	o(1	o(1	NOUN
ejpam-3519	405	3	)	)	PUNCT
ejpam-3519	405	4	d.	d.	PROPN
ejpam-3519	405	5	a.	a.	PROPN
ejpam-3519	405	6	n.	n.	PROPN
ejpam-3519	405	7	njamen	njamen	PROPN
ejpam-3519	405	8	,	,	PUNCT
ejpam-3519	405	9	h.	h.	PROPN
ejpam-3519	405	10	c.	c.	PROPN
ejpam-3519	405	11	yayebga	yayebga	PROPN
ejpam-3519	405	12	/	/	SYM
ejpam-3519	405	13	eur	eur	PROPN
ejpam-3519	405	14	.	.	PUNCT
ejpam-3519	406	1	j.	j.	PROPN
ejpam-3519	406	2	pure	pure	PROPN
ejpam-3519	406	3	appl	appl	PROPN
ejpam-3519	406	4	.	.	PROPN
ejpam-3519	406	5	math	math	PROPN
ejpam-3519	406	6	,	,	PUNCT
ejpam-3519	406	7	12	12	NUM
ejpam-3519	406	8	(	(	PUNCT
ejpam-3519	406	9	4	4	NUM
ejpam-3519	406	10	)	)	PUNCT
ejpam-3519	406	11	(	(	PUNCT
ejpam-3519	406	12	2019	2019	NUM
ejpam-3519	406	13	)	)	PUNCT
ejpam-3519	406	14	,	,	PUNCT
ejpam-3519	406	15	1612	1612	NUM
ejpam-3519	406	16	-	-	SYM
ejpam-3519	406	17	1642	1642	NUM
ejpam-3519	406	18	1631	1631	NUM
ejpam-3519	406	19	=	=	SYM
ejpam-3519	406	20	f(x	f(x	PROPN
ejpam-3519	406	21	)	)	PUNCT
ejpam-3519	406	22	s(x	s(x	PROPN
ejpam-3519	406	23	)	)	PUNCT
ejpam-3519	407	1	+	+	CCONJ
ejpam-3519	407	2	b2n	b2n	NUM
ejpam-3519	407	3	2	2	NUM
ejpam-3519	407	4	(	(	PUNCT
ejpam-3519	407	5	1−	1−	NUM
ejpam-3519	407	6	8	8	NUM
ejpam-3519	407	7	π2	π2	NOUN
ejpam-3519	407	8	)	)	PUNCT
ejpam-3519	407	9	f	f	PROPN
ejpam-3519	407	10	′′(x	′′(x	NOUN
ejpam-3519	407	11	)	)	PUNCT
ejpam-3519	407	12	s(x	s(x	PROPN
ejpam-3519	407	13	)	)	PUNCT
ejpam-3519	407	14	=	=	SYM
ejpam-3519	407	15	h(x	h(x	PROPN
ejpam-3519	407	16	)	)	PUNCT
ejpam-3519	408	1	+	+	CCONJ
ejpam-3519	408	2	b2n	b2n	NUM
ejpam-3519	408	3	2	2	NUM
ejpam-3519	408	4	(	(	PUNCT
ejpam-3519	408	5	1−	1−	NUM
ejpam-3519	408	6	8	8	NUM
ejpam-3519	408	7	π2	π2	NOUN
ejpam-3519	408	8	)	)	PUNCT
ejpam-3519	408	9	f	f	PROPN
ejpam-3519	408	10	′′(x	′′(x	NOUN
ejpam-3519	408	11	)	)	PUNCT
ejpam-3519	408	12	s(x	s(x	PROPN
ejpam-3519	408	13	)	)	PUNCT
ejpam-3519	409	1	so	so	ADV
ejpam-3519	409	2	,	,	PUNCT
ejpam-3519	409	3	bias	bias	NOUN
ejpam-3519	409	4	(	(	PUNCT
ejpam-3519	409	5	ĥ(x	ĥ(x	NOUN
ejpam-3519	409	6	)	)	PUNCT
ejpam-3519	409	7	)	)	PUNCT
ejpam-3519	410	1	=	=	PUNCT
ejpam-3519	410	2	b2n	b2n	VERB
ejpam-3519	410	3	2	2	NUM
ejpam-3519	410	4	(	(	PUNCT
ejpam-3519	410	5	1−	1−	NUM
ejpam-3519	410	6	8	8	NUM
ejpam-3519	410	7	π2	π2	NOUN
ejpam-3519	410	8	)	)	PUNCT
ejpam-3519	410	9	f	f	PROPN
ejpam-3519	410	10	′′(x	′′(x	NOUN
ejpam-3519	410	11	)	)	PUNCT
ejpam-3519	410	12	s(x	s(x	PROPN
ejpam-3519	410	13	)	)	PUNCT
ejpam-3519	411	1	+	+	SYM
ejpam-3519	411	2	o(1	o(1	NOUN
ejpam-3519	411	3	)	)	PUNCT
ejpam-3519	411	4	=	=	SYM
ejpam-3519	411	5	b2nf	b2nf	X
ejpam-3519	411	6	′′(x)(π2	′′(x)(π2	ADP
ejpam-3519	411	7	−	−	PROPN
ejpam-3519	411	8	8)	8)	NUM
ejpam-3519	411	9	2π2s(x	2π2s(x	NUM
ejpam-3519	411	10	)	)	PUNCT
ejpam-3519	411	11	+	+	NOUN
ejpam-3519	411	12	o(1	o(1	NOUN
ejpam-3519	411	13	)	)	PUNCT
ejpam-3519	411	14	.	.	PUNCT
ejpam-3519	412	1	hence	hence	ADV
ejpam-3519	412	2	the	the	DET
ejpam-3519	412	3	result	result	NOUN
ejpam-3519	412	4	.	.	PUNCT
ejpam-3519	413	1	for	for	ADP
ejpam-3519	413	2	the	the	DET
ejpam-3519	413	3	calculation	calculation	NOUN
ejpam-3519	413	4	of	of	ADP
ejpam-3519	413	5	the	the	DET
ejpam-3519	413	6	variance	variance	NOUN
ejpam-3519	413	7	,	,	PUNCT
ejpam-3519	413	8	under	under	ADP
ejpam-3519	413	9	theorem	theorem	NOUN
ejpam-3519	413	10	1	1	NUM
ejpam-3519	413	11	and	and	CCONJ
ejpam-3519	413	12	we	we	PRON
ejpam-3519	413	13	have	have	VERB
ejpam-3519	413	14	:	:	PUNCT
ejpam-3519	413	15	v(ĥ(x	v(ĥ(x	NOUN
ejpam-3519	413	16	)	)	PUNCT
ejpam-3519	413	17	)	)	PUNCT
ejpam-3519	414	1	=	=	SYM
ejpam-3519	414	2	v	v	X
ejpam-3519	414	3	(	(	PUNCT
ejpam-3519	414	4	f̂(x	f̂(x	NOUN
ejpam-3519	414	5	)	)	PUNCT
ejpam-3519	414	6	ŝ(x	ŝ(x	NUM
ejpam-3519	414	7	)	)	PUNCT
ejpam-3519	414	8	)	)	PUNCT
ejpam-3519	415	1	=	=	SYM
ejpam-3519	415	2	1	1	NUM
ejpam-3519	415	3	nbn	nbn	NOUN
ejpam-3519	415	4	(	(	PUNCT
ejpam-3519	415	5	∫	∫	PROPN
ejpam-3519	415	6	k2(t)dt	k2(t)dt	PROPN
ejpam-3519	415	7	)	)	PUNCT
ejpam-3519	415	8	h(x	h(x	PROPN
ejpam-3519	415	9	)	)	PUNCT
ejpam-3519	415	10	s(x	s(x	PROPN
ejpam-3519	415	11	)	)	PUNCT
ejpam-3519	416	1	+	+	NOUN
ejpam-3519	416	2	o	o	X
ejpam-3519	416	3	(	(	PUNCT
ejpam-3519	416	4	(	(	PUNCT
ejpam-3519	416	5	nb2n)−1	nb2n)−1	NOUN
ejpam-3519	416	6	)	)	PUNCT
ejpam-3519	416	7	.	.	PUNCT
ejpam-3519	417	1	however	however	ADV
ejpam-3519	417	2	,	,	PUNCT
ejpam-3519	417	3	according	accord	VERB
ejpam-3519	417	4	to	to	ADP
ejpam-3519	417	5	the	the	DET
ejpam-3519	417	6	above	above	NOUN
ejpam-3519	417	7	,	,	PUNCT
ejpam-3519	417	8	we	we	PRON
ejpam-3519	417	9	have:∫	have:∫	VERB
ejpam-3519	417	10	1	1	NUM
ejpam-3519	417	11	−1	−1	NOUN
ejpam-3519	417	12	k2(t)dt	k2(t)dt	NOUN
ejpam-3519	418	1	=	=	SYM
ejpam-3519	418	2	∫	∫	PROPN
ejpam-3519	418	3	1	1	NUM
ejpam-3519	418	4	−1	−1	NOUN
ejpam-3519	418	5	(	(	PUNCT
ejpam-3519	418	6	π	π	PROPN
ejpam-3519	418	7	4	4	NUM
ejpam-3519	418	8	cos	cos	PROPN
ejpam-3519	418	9	(	(	PUNCT
ejpam-3519	418	10	π	π	PROPN
ejpam-3519	418	11	2	2	NUM
ejpam-3519	418	12	t	t	PROPN
ejpam-3519	418	13	)	)	PUNCT
ejpam-3519	418	14	)	)	PUNCT
ejpam-3519	418	15	dt	dt	X
ejpam-3519	419	1	=	=	SYM
ejpam-3519	419	2	π2	π2	ADJ
ejpam-3519	419	3	16	16	NUM
ejpam-3519	419	4	.	.	PUNCT
ejpam-3519	420	1	so	so	ADV
ejpam-3519	420	2	,	,	PUNCT
ejpam-3519	420	3	v(ĥ(x	v(ĥ(x	NOUN
ejpam-3519	420	4	)	)	PUNCT
ejpam-3519	420	5	)	)	PUNCT
ejpam-3519	421	1	=	=	PUNCT
ejpam-3519	421	2	π2	π2	NUM
ejpam-3519	421	3	16nbn	16nbn	NOUN
ejpam-3519	421	4	.	.	PUNCT
ejpam-3519	422	1	h(x	h(x	PROPN
ejpam-3519	422	2	)	)	PUNCT
ejpam-3519	422	3	s(x	s(x	PROPN
ejpam-3519	422	4	)	)	PUNCT
ejpam-3519	423	1	+	+	NOUN
ejpam-3519	423	2	o	o	X
ejpam-3519	423	3	(	(	PUNCT
ejpam-3519	423	4	(	(	PUNCT
ejpam-3519	423	5	nbn)−1	nbn)−1	NOUN
ejpam-3519	423	6	)	)	PUNCT
ejpam-3519	423	7	2	2	NUM
ejpam-3519	423	8	.	.	PUNCT
ejpam-3519	424	1	hence	hence	ADV
ejpam-3519	424	2	the	the	DET
ejpam-3519	424	3	result	result	NOUN
ejpam-3519	424	4	.	.	PUNCT
ejpam-3519	425	1	8	8	X
ejpam-3519	425	2	.	.	PUNCT
ejpam-3519	425	3	applications	application	NOUN
ejpam-3519	425	4	in	in	ADP
ejpam-3519	425	5	this	this	DET
ejpam-3519	425	6	section	section	NOUN
ejpam-3519	425	7	,	,	PUNCT
ejpam-3519	425	8	we	we	PRON
ejpam-3519	425	9	want	want	VERB
ejpam-3519	425	10	to	to	PART
ejpam-3519	425	11	see	see	VERB
ejpam-3519	425	12	if	if	SCONJ
ejpam-3519	425	13	our	our	PRON
ejpam-3519	425	14	estimator	estimator	NOUN
ejpam-3519	425	15	is	be	AUX
ejpam-3519	425	16	robust	robust	ADJ
ejpam-3519	425	17	.	.	PUNCT
ejpam-3519	426	1	for	for	ADP
ejpam-3519	426	2	this	this	DET
ejpam-3519	426	3	purpose	purpose	NOUN
ejpam-3519	426	4	,	,	PUNCT
ejpam-3519	426	5	the	the	DET
ejpam-3519	426	6	efficiency	efficiency	NOUN
ejpam-3519	426	7	of	of	ADP
ejpam-3519	426	8	the	the	DET
ejpam-3519	426	9	circular	circular	ADJ
ejpam-3519	426	10	core	core	NOUN
ejpam-3519	426	11	density	density	NOUN
ejpam-3519	426	12	function	function	NOUN
ejpam-3519	426	13	estimator	estimator	NOUN
ejpam-3519	426	14	will	will	AUX
ejpam-3519	426	15	be	be	AUX
ejpam-3519	426	16	highlighted	highlight	VERB
ejpam-3519	426	17	through	through	ADP
ejpam-3519	426	18	the	the	DET
ejpam-3519	426	19	density	density	NOUN
ejpam-3519	426	20	curves	curve	NOUN
ejpam-3519	426	21	and	and	CCONJ
ejpam-3519	426	22	the	the	DET
ejpam-3519	426	23	kernel	kernel	PROPN
ejpam-3519	426	24	estimator	estimator	NOUN
ejpam-3519	426	25	which	which	PRON
ejpam-3519	426	26	will	will	AUX
ejpam-3519	426	27	be	be	AUX
ejpam-3519	426	28	performed	perform	VERB
ejpam-3519	426	29	on	on	ADP
ejpam-3519	426	30	the	the	DET
ejpam-3519	426	31	basis	basis	NOUN
ejpam-3519	426	32	of	of	ADP
ejpam-3519	426	33	simulated	simulated	ADJ
ejpam-3519	426	34	data	datum	NOUN
ejpam-3519	426	35	and	and	CCONJ
ejpam-3519	426	36	actual	actual	ADJ
ejpam-3519	426	37	data	datum	NOUN
ejpam-3519	426	38	.	.	PUNCT
ejpam-3519	427	1	8.1	8.1	NUM
ejpam-3519	427	2	.	.	PUNCT
ejpam-3519	428	1	choice	choice	NOUN
ejpam-3519	428	2	of	of	ADP
ejpam-3519	428	3	the	the	DET
ejpam-3519	428	4	programming	programming	NOUN
ejpam-3519	428	5	language	language	NOUN
ejpam-3519	428	6	in	in	ADP
ejpam-3519	428	7	this	this	DET
ejpam-3519	428	8	article	article	NOUN
ejpam-3519	428	9	,	,	PUNCT
ejpam-3519	428	10	we	we	PRON
ejpam-3519	428	11	used	use	VERB
ejpam-3519	428	12	the	the	DET
ejpam-3519	428	13	programming	programming	NOUN
ejpam-3519	428	14	language	language	NOUN
ejpam-3519	428	15	r	r	NOUN
ejpam-3519	428	16	not	not	PART
ejpam-3519	428	17	only	only	ADV
ejpam-3519	428	18	for	for	ADP
ejpam-3519	428	19	the	the	DET
ejpam-3519	428	20	simulation	simulation	NOUN
ejpam-3519	428	21	of	of	ADP
ejpam-3519	428	22	our	our	PRON
ejpam-3519	428	23	estimator	estimator	NOUN
ejpam-3519	428	24	but	but	CCONJ
ejpam-3519	428	25	also	also	ADV
ejpam-3519	428	26	,	,	PUNCT
ejpam-3519	428	27	for	for	ADP
ejpam-3519	428	28	the	the	DET
ejpam-3519	428	29	realization	realization	NOUN
ejpam-3519	428	30	of	of	ADP
ejpam-3519	428	31	our	our	PRON
ejpam-3519	428	32	different	different	ADJ
ejpam-3519	428	33	curves	curve	NOUN
ejpam-3519	428	34	.	.	PUNCT
ejpam-3519	429	1	it	it	PRON
ejpam-3519	429	2	is	be	AUX
ejpam-3519	429	3	a	a	DET
ejpam-3519	429	4	programming	programming	NOUN
ejpam-3519	429	5	language	language	NOUN
ejpam-3519	429	6	d.	d.	PROPN
ejpam-3519	429	7	a.	a.	PROPN
ejpam-3519	429	8	n.	n.	PROPN
ejpam-3519	429	9	njamen	njamen	PROPN
ejpam-3519	429	10	,	,	PUNCT
ejpam-3519	429	11	h.	h.	PROPN
ejpam-3519	429	12	c.	c.	PROPN
ejpam-3519	429	13	yayebga	yayebga	PROPN
ejpam-3519	429	14	/	/	SYM
ejpam-3519	429	15	eur	eur	PROPN
ejpam-3519	429	16	.	.	PUNCT
ejpam-3519	430	1	j.	j.	PROPN
ejpam-3519	430	2	pure	pure	PROPN
ejpam-3519	430	3	appl	appl	PROPN
ejpam-3519	430	4	.	.	PROPN
ejpam-3519	430	5	math	math	PROPN
ejpam-3519	430	6	,	,	PUNCT
ejpam-3519	430	7	12	12	NUM
ejpam-3519	430	8	(	(	PUNCT
ejpam-3519	430	9	4	4	NUM
ejpam-3519	430	10	)	)	PUNCT
ejpam-3519	430	11	(	(	PUNCT
ejpam-3519	430	12	2019	2019	NUM
ejpam-3519	430	13	)	)	PUNCT
ejpam-3519	430	14	,	,	PUNCT
ejpam-3519	430	15	1612	1612	NUM
ejpam-3519	430	16	-	-	SYM
ejpam-3519	430	17	1642	1642	NUM
ejpam-3519	430	18	1632	1632	NUM
ejpam-3519	430	19	for	for	ADP
ejpam-3519	430	20	manipulating	manipulate	VERB
ejpam-3519	430	21	data	datum	NOUN
ejpam-3519	430	22	and	and	CCONJ
ejpam-3519	430	23	performing	perform	VERB
ejpam-3519	430	24	statistical	statistical	ADJ
ejpam-3519	430	25	and	and	CCONJ
ejpam-3519	430	26	graphical	graphical	ADJ
ejpam-3519	430	27	analysis	analysis	NOUN
ejpam-3519	430	28	.	.	PUNCT
ejpam-3519	431	1	this	this	DET
ejpam-3519	431	2	schemeinspired	schemeinspire	VERB
ejpam-3519	431	3	language	language	NOUN
ejpam-3519	431	4	and	and	CCONJ
ejpam-3519	431	5	software	software	NOUN
ejpam-3519	431	6	,	,	PUNCT
ejpam-3519	431	7	abbreviated	abbreviate	VERB
ejpam-3519	431	8	as	as	ADP
ejpam-3519	431	9	s	s	PROPN
ejpam-3519	431	10	,	,	PUNCT
ejpam-3519	431	11	is	be	AUX
ejpam-3519	431	12	distributed	distribute	VERB
ejpam-3519	431	13	under	under	ADP
ejpam-3519	431	14	the	the	DET
ejpam-3519	431	15	gnu	gnu	X
ejpam-3519	431	16	(	(	PUNCT
ejpam-3519	431	17	general	general	ADJ
ejpam-3519	431	18	public	public	ADJ
ejpam-3519	431	19	license	license	NOUN
ejpam-3519	431	20	)	)	PUNCT
ejpam-3519	431	21	terms	term	NOUN
ejpam-3519	431	22	.	.	PUNCT
ejpam-3519	432	1	this	this	DET
ejpam-3519	432	2	structure	structure	NOUN
ejpam-3519	432	3	is	be	AUX
ejpam-3519	432	4	responsible	responsible	ADJ
ejpam-3519	432	5	for	for	ADP
ejpam-3519	432	6	distributing	distribute	VERB
ejpam-3519	432	7	and	and	CCONJ
ejpam-3519	432	8	developing	develop	VERB
ejpam-3519	432	9	the	the	DET
ejpam-3519	432	10	r	r	NOUN
ejpam-3519	432	11	software	software	NOUN
ejpam-3519	432	12	with	with	ADP
ejpam-3519	432	13	many	many	ADJ
ejpam-3519	432	14	other	other	ADJ
ejpam-3519	432	15	contributors	contributor	NOUN
ejpam-3519	432	16	from	from	ADP
ejpam-3519	432	17	around	around	ADP
ejpam-3519	432	18	the	the	DET
ejpam-3519	432	19	world	world	NOUN
ejpam-3519	432	20	.	.	PUNCT
ejpam-3519	433	1	8.2	8.2	NUM
ejpam-3519	433	2	.	.	PUNCT
ejpam-3519	433	3	simulation	simulation	NOUN
ejpam-3519	433	4	:	:	PUNCT
ejpam-3519	433	5	case	case	NOUN
ejpam-3519	433	6	of	of	ADP
ejpam-3519	433	7	simulated	simulated	ADJ
ejpam-3519	433	8	data	datum	NOUN
ejpam-3519	433	9	let	let	VERB
ejpam-3519	433	10	x	x	PRON
ejpam-3519	433	11	be	be	AUX
ejpam-3519	433	12	a	a	DET
ejpam-3519	433	13	continuous	continuous	ADJ
ejpam-3519	433	14	random	random	ADJ
ejpam-3519	433	15	variable	variable	NOUN
ejpam-3519	433	16	whose	whose	DET
ejpam-3519	433	17	law	law	NOUN
ejpam-3519	433	18	has	have	VERB
ejpam-3519	433	19	the	the	DET
ejpam-3519	433	20	density	density	NOUN
ejpam-3519	433	21	f	f	PROPN
ejpam-3519	433	22	defined	define	VERB
ejpam-3519	433	23	on	on	ADP
ejpam-3519	433	24	r	r	NOUN
ejpam-3519	433	25	by	by	ADP
ejpam-3519	433	26	:	:	PUNCT
ejpam-3519	433	27	f(t	f(t	PROPN
ejpam-3519	433	28	)	)	PUNCT
ejpam-3519	434	1	=	=	SYM
ejpam-3519	434	2	1√	1√	NUM
ejpam-3519	434	3	2π	2π	NOUN
ejpam-3519	434	4	e−	e−	ADP
ejpam-3519	434	5	1	1	NUM
ejpam-3519	434	6	2	2	NUM
ejpam-3519	434	7	t2	t2	NOUN
ejpam-3519	434	8	.	.	PUNCT
ejpam-3519	435	1	the	the	DET
ejpam-3519	435	2	function	function	NOUN
ejpam-3519	435	3	f	f	PROPN
ejpam-3519	435	4	is	be	AUX
ejpam-3519	435	5	called	call	VERB
ejpam-3519	435	6	density	density	NOUN
ejpam-3519	435	7	function	function	NOUN
ejpam-3519	435	8	of	of	ADP
ejpam-3519	435	9	the	the	DET
ejpam-3519	435	10	reduced	reduce	VERB
ejpam-3519	435	11	normal	normal	ADJ
ejpam-3519	435	12	centered	center	VERB
ejpam-3519	435	13	law	law	NOUN
ejpam-3519	435	14	denoted	denote	VERB
ejpam-3519	435	15	n	n	PROPN
ejpam-3519	435	16	(	(	PUNCT
ejpam-3519	435	17	0	0	NUM
ejpam-3519	435	18	,	,	PUNCT
ejpam-3519	435	19	1	1	NUM
ejpam-3519	435	20	)	)	PUNCT
ejpam-3519	435	21	.	.	PUNCT
ejpam-3519	436	1	it	it	PRON
ejpam-3519	436	2	is	be	AUX
ejpam-3519	436	3	a	a	DET
ejpam-3519	436	4	positive	positive	ADJ
ejpam-3519	436	5	function	function	NOUN
ejpam-3519	436	6	.	.	PUNCT
ejpam-3519	437	1	if	if	SCONJ
ejpam-3519	437	2	x	x	PRON
ejpam-3519	437	3	follows	follow	VERB
ejpam-3519	437	4	a	a	DET
ejpam-3519	437	5	”	"	PUNCT
ejpam-3519	437	6	model	model	NOUN
ejpam-3519	437	7	”	"	PUNCT
ejpam-3519	437	8	distribution	distribution	NOUN
ejpam-3519	437	9	,	,	PUNCT
ejpam-3519	437	10	it	it	PRON
ejpam-3519	437	11	is	be	AUX
ejpam-3519	437	12	associated	associate	VERB
ejpam-3519	437	13	with	with	ADP
ejpam-3519	437	14	a	a	DET
ejpam-3519	437	15	curve	curve	NOUN
ejpam-3519	437	16	:	:	PUNCT
ejpam-3519	437	17	d.	d.	PROPN
ejpam-3519	437	18	a.	a.	PROPN
ejpam-3519	437	19	n.	n.	PROPN
ejpam-3519	437	20	njamen	njamen	PROPN
ejpam-3519	437	21	,	,	PUNCT
ejpam-3519	437	22	h.	h.	PROPN
ejpam-3519	437	23	c.	c.	PROPN
ejpam-3519	437	24	yayebga	yayebga	PROPN
ejpam-3519	437	25	/	/	SYM
ejpam-3519	437	26	eur	eur	PROPN
ejpam-3519	437	27	.	.	PUNCT
ejpam-3519	438	1	j.	j.	PROPN
ejpam-3519	438	2	pure	pure	PROPN
ejpam-3519	438	3	appl	appl	PROPN
ejpam-3519	438	4	.	.	PROPN
ejpam-3519	438	5	math	math	PROPN
ejpam-3519	438	6	,	,	PUNCT
ejpam-3519	438	7	12	12	NUM
ejpam-3519	438	8	(	(	PUNCT
ejpam-3519	438	9	4	4	NUM
ejpam-3519	438	10	)	)	PUNCT
ejpam-3519	438	11	(	(	PUNCT
ejpam-3519	438	12	2019	2019	NUM
ejpam-3519	438	13	)	)	PUNCT
ejpam-3519	438	14	,	,	PUNCT
ejpam-3519	438	15	1612	1612	NUM
ejpam-3519	438	16	-	-	SYM
ejpam-3519	438	17	1642	1642	NUM
ejpam-3519	438	18	1633	1633	NUM
ejpam-3519	438	19	figure	figure	NOUN
ejpam-3519	438	20	1	1	NUM
ejpam-3519	438	21	:	:	PUNCT
ejpam-3519	438	22	density	density	NOUN
ejpam-3519	438	23	of	of	ADP
ejpam-3519	438	24	the	the	DET
ejpam-3519	438	25	normal	normal	ADJ
ejpam-3519	438	26	law	law	NOUN
ejpam-3519	438	27	centered	center	VERB
ejpam-3519	438	28	reduced	reduce	VERB
ejpam-3519	438	29	the	the	DET
ejpam-3519	438	30	curve	curve	NOUN
ejpam-3519	438	31	above	above	ADV
ejpam-3519	438	32	is	be	AUX
ejpam-3519	438	33	a	a	DET
ejpam-3519	438	34	symmetrical	symmetrical	ADJ
ejpam-3519	438	35	curve	curve	NOUN
ejpam-3519	438	36	with	with	ADP
ejpam-3519	438	37	respect	respect	NOUN
ejpam-3519	438	38	to	to	ADP
ejpam-3519	438	39	the	the	DET
ejpam-3519	438	40	origin	origin	NOUN
ejpam-3519	438	41	which	which	PRON
ejpam-3519	438	42	has	have	VERB
ejpam-3519	438	43	a	a	DET
ejpam-3519	438	44	bell	bell	NOUN
ejpam-3519	438	45	-	-	PUNCT
ejpam-3519	438	46	shaped	shape	VERB
ejpam-3519	438	47	shape	shape	NOUN
ejpam-3519	438	48	.	.	PUNCT
ejpam-3519	439	1	it	it	PRON
ejpam-3519	439	2	is	be	AUX
ejpam-3519	439	3	commonly	commonly	ADV
ejpam-3519	439	4	called	call	VERB
ejpam-3519	439	5	gaussian	gaussian	ADJ
ejpam-3519	439	6	curve	curve	NOUN
ejpam-3519	439	7	.	.	PUNCT
ejpam-3519	440	1	the	the	DET
ejpam-3519	440	2	normal	normal	ADJ
ejpam-3519	440	3	law	law	NOUN
ejpam-3519	440	4	is	be	AUX
ejpam-3519	440	5	used	use	VERB
ejpam-3519	440	6	in	in	ADP
ejpam-3519	440	7	this	this	DET
ejpam-3519	440	8	subsection	subsection	NOUN
ejpam-3519	440	9	because	because	SCONJ
ejpam-3519	440	10	it	it	PRON
ejpam-3519	440	11	is	be	AUX
ejpam-3519	440	12	the	the	DET
ejpam-3519	440	13	most	most	ADV
ejpam-3519	440	14	commonly	commonly	ADV
ejpam-3519	440	15	used	use	VERB
ejpam-3519	440	16	probabilistic	probabilistic	ADJ
ejpam-3519	440	17	model	model	NOUN
ejpam-3519	440	18	to	to	PART
ejpam-3519	440	19	describe	describe	VERB
ejpam-3519	440	20	many	many	ADJ
ejpam-3519	440	21	phenomena	phenomenon	NOUN
ejpam-3519	440	22	observed	observe	VERB
ejpam-3519	440	23	in	in	ADP
ejpam-3519	440	24	practice	practice	NOUN
ejpam-3519	440	25	.	.	PUNCT
ejpam-3519	441	1	in	in	ADP
ejpam-3519	441	2	what	what	PRON
ejpam-3519	441	3	follows	follow	VERB
ejpam-3519	441	4	,	,	PUNCT
ejpam-3519	441	5	we	we	PRON
ejpam-3519	441	6	will	will	AUX
ejpam-3519	441	7	generate	generate	VERB
ejpam-3519	441	8	the	the	DET
ejpam-3519	441	9	data	datum	NOUN
ejpam-3519	441	10	from	from	ADP
ejpam-3519	441	11	the	the	DET
ejpam-3519	441	12	r	r	NOUN
ejpam-3519	441	13	software	software	NOUN
ejpam-3519	441	14	to	to	PART
ejpam-3519	441	15	show	show	VERB
ejpam-3519	441	16	the	the	DET
ejpam-3519	441	17	influence	influence	NOUN
ejpam-3519	441	18	of	of	ADP
ejpam-3519	441	19	the	the	DET
ejpam-3519	441	20	h	h	NOUN
ejpam-3519	441	21	smoothing	smooth	VERB
ejpam-3519	441	22	parameter	parameter	NOUN
ejpam-3519	441	23	in	in	ADP
ejpam-3519	441	24	evaluating	evaluate	VERB
ejpam-3519	441	25	the	the	DET
ejpam-3519	441	26	performance	performance	NOUN
ejpam-3519	441	27	of	of	ADP
ejpam-3519	441	28	the	the	DET
ejpam-3519	441	29	circular	circular	ADJ
ejpam-3519	441	30	kernel	kernel	NOUN
ejpam-3519	441	31	estimator	estimator	NOUN
ejpam-3519	441	32	.	.	PUNCT
ejpam-3519	442	1	8.2.1	8.2.1	X
ejpam-3519	442	2	.	.	PUNCT
ejpam-3519	442	3	result	result	NOUN
ejpam-3519	442	4	of	of	ADP
ejpam-3519	442	5	the	the	DET
ejpam-3519	442	6	simulation	simulation	NOUN
ejpam-3519	442	7	for	for	ADP
ejpam-3519	442	8	a	a	DET
ejpam-3519	442	9	sample	sample	NOUN
ejpam-3519	442	10	n	n	NOUN
ejpam-3519	442	11	=	=	SYM
ejpam-3519	442	12	500	500	NUM
ejpam-3519	442	13	,	,	PUNCT
ejpam-3519	442	14	we	we	PRON
ejpam-3519	442	15	assign	assign	VERB
ejpam-3519	442	16	the	the	DET
ejpam-3519	442	17	values	value	NOUN
ejpam-3519	442	18	to	to	ADP
ejpam-3519	442	19	the	the	DET
ejpam-3519	442	20	smoothing	smoothing	NOUN
ejpam-3519	442	21	parameter	parameter	NOUN
ejpam-3519	442	22	,	,	PUNCT
ejpam-3519	442	23	which	which	PRON
ejpam-3519	442	24	allows	allow	VERB
ejpam-3519	442	25	us	we	PRON
ejpam-3519	442	26	to	to	PART
ejpam-3519	442	27	obtain	obtain	VERB
ejpam-3519	442	28	the	the	DET
ejpam-3519	442	29	following	following	ADJ
ejpam-3519	442	30	curves	curve	NOUN
ejpam-3519	442	31	:	:	PUNCT
ejpam-3519	442	32	for	for	ADP
ejpam-3519	442	33	h	h	NOUN
ejpam-3519	442	34	=	=	SYM
ejpam-3519	442	35	2	2	NUM
ejpam-3519	442	36	,	,	PUNCT
ejpam-3519	442	37	we	we	PRON
ejpam-3519	442	38	have	have	VERB
ejpam-3519	442	39	the	the	DET
ejpam-3519	442	40	following	follow	VERB
ejpam-3519	442	41	curve	curve	NOUN
ejpam-3519	442	42	:	:	PUNCT
ejpam-3519	442	43	figure	figure	NOUN
ejpam-3519	442	44	2	2	NUM
ejpam-3519	442	45	:	:	PUNCT
ejpam-3519	442	46	comparison	comparison	NOUN
ejpam-3519	442	47	of	of	ADP
ejpam-3519	442	48	the	the	DET
ejpam-3519	442	49	theoretical	theoretical	ADJ
ejpam-3519	442	50	curve	curve	NOUN
ejpam-3519	442	51	and	and	CCONJ
ejpam-3519	442	52	the	the	DET
ejpam-3519	442	53	kernel	kernel	PROPN
ejpam-3519	442	54	density	density	PROPN
ejpam-3519	442	55	estimator	estimator	NOUN
ejpam-3519	442	56	at	at	ADP
ejpam-3519	442	57	h	h	NOUN
ejpam-3519	442	58	=	=	SYM
ejpam-3519	442	59	2	2	NUM
ejpam-3519	442	60	d.	d.	PROPN
ejpam-3519	442	61	a.	a.	PROPN
ejpam-3519	442	62	n.	n.	PROPN
ejpam-3519	442	63	njamen	njamen	PROPN
ejpam-3519	442	64	,	,	PUNCT
ejpam-3519	442	65	h.	h.	PROPN
ejpam-3519	442	66	c.	c.	PROPN
ejpam-3519	442	67	yayebga	yayebga	PROPN
ejpam-3519	442	68	/	/	SYM
ejpam-3519	442	69	eur	eur	PROPN
ejpam-3519	442	70	.	.	PUNCT
ejpam-3519	443	1	j.	j.	PROPN
ejpam-3519	443	2	pure	pure	PROPN
ejpam-3519	443	3	appl	appl	PROPN
ejpam-3519	443	4	.	.	PROPN
ejpam-3519	443	5	math	math	PROPN
ejpam-3519	443	6	,	,	PUNCT
ejpam-3519	443	7	12	12	NUM
ejpam-3519	443	8	(	(	PUNCT
ejpam-3519	443	9	4	4	NUM
ejpam-3519	443	10	)	)	PUNCT
ejpam-3519	443	11	(	(	PUNCT
ejpam-3519	443	12	2019	2019	NUM
ejpam-3519	443	13	)	)	PUNCT
ejpam-3519	443	14	,	,	PUNCT
ejpam-3519	443	15	1612	1612	NUM
ejpam-3519	443	16	-	-	SYM
ejpam-3519	443	17	1642	1642	NUM
ejpam-3519	443	18	1634	1634	NUM
ejpam-3519	443	19	for	for	ADP
ejpam-3519	443	20	h	h	NOUN
ejpam-3519	443	21	=	=	SYM
ejpam-3519	443	22	1	1	NUM
ejpam-3519	443	23	,	,	PUNCT
ejpam-3519	443	24	we	we	PRON
ejpam-3519	443	25	have	have	VERB
ejpam-3519	443	26	the	the	DET
ejpam-3519	443	27	following	follow	VERB
ejpam-3519	443	28	curve	curve	NOUN
ejpam-3519	443	29	:	:	PUNCT
ejpam-3519	443	30	figure	figure	NOUN
ejpam-3519	443	31	3	3	NUM
ejpam-3519	443	32	:	:	PUNCT
ejpam-3519	443	33	comparison	comparison	NOUN
ejpam-3519	443	34	of	of	ADP
ejpam-3519	443	35	the	the	DET
ejpam-3519	443	36	theoretical	theoretical	ADJ
ejpam-3519	443	37	curve	curve	NOUN
ejpam-3519	443	38	and	and	CCONJ
ejpam-3519	443	39	the	the	DET
ejpam-3519	443	40	kernel	kernel	PROPN
ejpam-3519	443	41	density	density	PROPN
ejpam-3519	443	42	estimator	estimator	NOUN
ejpam-3519	443	43	at	at	ADP
ejpam-3519	443	44	h	h	NOUN
ejpam-3519	443	45	=	=	NOUN
ejpam-3519	443	46	1	1	NUM
ejpam-3519	443	47	for	for	ADP
ejpam-3519	443	48	h	h	NOUN
ejpam-3519	443	49	=	=	SYM
ejpam-3519	443	50	0.5	0.5	NUM
ejpam-3519	443	51	,	,	PUNCT
ejpam-3519	443	52	we	we	PRON
ejpam-3519	443	53	have	have	VERB
ejpam-3519	443	54	the	the	DET
ejpam-3519	443	55	following	follow	VERB
ejpam-3519	443	56	curve	curve	NOUN
ejpam-3519	443	57	:	:	PUNCT
ejpam-3519	443	58	figure	figure	VERB
ejpam-3519	443	59	4	4	NUM
ejpam-3519	443	60	:	:	PUNCT
ejpam-3519	443	61	comparison	comparison	NOUN
ejpam-3519	443	62	of	of	ADP
ejpam-3519	443	63	the	the	DET
ejpam-3519	443	64	theoretical	theoretical	ADJ
ejpam-3519	443	65	curve	curve	NOUN
ejpam-3519	443	66	and	and	CCONJ
ejpam-3519	443	67	the	the	DET
ejpam-3519	443	68	kernel	kernel	PROPN
ejpam-3519	443	69	density	density	PROPN
ejpam-3519	443	70	estimator	estimator	NOUN
ejpam-3519	443	71	at	at	ADP
ejpam-3519	443	72	h	h	NOUN
ejpam-3519	443	73	=	=	NOUN
ejpam-3519	443	74	0.5	0.5	NUM
ejpam-3519	443	75	for	for	ADP
ejpam-3519	443	76	h	h	NOUN
ejpam-3519	443	77	=	=	NOUN
ejpam-3519	443	78	0.3	0.3	NUM
ejpam-3519	443	79	,	,	PUNCT
ejpam-3519	443	80	we	we	PRON
ejpam-3519	443	81	have	have	VERB
ejpam-3519	443	82	the	the	DET
ejpam-3519	443	83	following	follow	VERB
ejpam-3519	443	84	curve	curve	NOUN
ejpam-3519	443	85	:	:	PUNCT
ejpam-3519	443	86	figure	figure	NOUN
ejpam-3519	443	87	5	5	NUM
ejpam-3519	443	88	:	:	PUNCT
ejpam-3519	443	89	comparison	comparison	NOUN
ejpam-3519	443	90	of	of	ADP
ejpam-3519	443	91	the	the	DET
ejpam-3519	443	92	theoretical	theoretical	ADJ
ejpam-3519	443	93	curve	curve	NOUN
ejpam-3519	443	94	and	and	CCONJ
ejpam-3519	443	95	the	the	DET
ejpam-3519	443	96	kernel	kernel	PROPN
ejpam-3519	443	97	density	density	PROPN
ejpam-3519	443	98	estimator	estimator	NOUN
ejpam-3519	443	99	at	at	ADP
ejpam-3519	443	100	h	h	NOUN
ejpam-3519	443	101	=	=	PROPN
ejpam-3519	443	102	0.3	0.3	NUM
ejpam-3519	443	103	d.	d.	PROPN
ejpam-3519	443	104	a.	a.	PROPN
ejpam-3519	443	105	n.	n.	PROPN
ejpam-3519	443	106	njamen	njamen	PROPN
ejpam-3519	443	107	,	,	PUNCT
ejpam-3519	443	108	h.	h.	PROPN
ejpam-3519	443	109	c.	c.	PROPN
ejpam-3519	443	110	yayebga	yayebga	PROPN
ejpam-3519	443	111	/	/	SYM
ejpam-3519	443	112	eur	eur	PROPN
ejpam-3519	443	113	.	.	PUNCT
ejpam-3519	444	1	j.	j.	PROPN
ejpam-3519	444	2	pure	pure	PROPN
ejpam-3519	444	3	appl	appl	PROPN
ejpam-3519	444	4	.	.	PROPN
ejpam-3519	444	5	math	math	PROPN
ejpam-3519	444	6	,	,	PUNCT
ejpam-3519	444	7	12	12	NUM
ejpam-3519	444	8	(	(	PUNCT
ejpam-3519	444	9	4	4	NUM
ejpam-3519	444	10	)	)	PUNCT
ejpam-3519	444	11	(	(	PUNCT
ejpam-3519	444	12	2019	2019	NUM
ejpam-3519	444	13	)	)	PUNCT
ejpam-3519	444	14	,	,	PUNCT
ejpam-3519	444	15	1612	1612	NUM
ejpam-3519	444	16	-	-	SYM
ejpam-3519	444	17	1642	1642	NUM
ejpam-3519	444	18	1635	1635	NUM
ejpam-3519	444	19	for	for	ADP
ejpam-3519	444	20	h	h	NOUN
ejpam-3519	444	21	=	=	PRON
ejpam-3519	444	22	hopt	hopt	VERB
ejpam-3519	444	23	,	,	PUNCT
ejpam-3519	444	24	we	we	PRON
ejpam-3519	444	25	have	have	VERB
ejpam-3519	444	26	the	the	DET
ejpam-3519	444	27	following	follow	VERB
ejpam-3519	444	28	curve	curve	NOUN
ejpam-3519	444	29	:	:	PUNCT
ejpam-3519	444	30	figure	figure	NOUN
ejpam-3519	444	31	6	6	NUM
ejpam-3519	444	32	:	:	PUNCT
ejpam-3519	444	33	comparison	comparison	NOUN
ejpam-3519	444	34	of	of	ADP
ejpam-3519	444	35	the	the	DET
ejpam-3519	444	36	theoretical	theoretical	ADJ
ejpam-3519	444	37	curve	curve	NOUN
ejpam-3519	444	38	and	and	CCONJ
ejpam-3519	444	39	the	the	DET
ejpam-3519	444	40	kernel	kernel	PROPN
ejpam-3519	444	41	density	density	PROPN
ejpam-3519	444	42	estimator	estimator	NOUN
ejpam-3519	444	43	at	at	ADP
ejpam-3519	444	44	h	h	NOUN
ejpam-3519	444	45	=	=	VERB
ejpam-3519	444	46	hopt	hopt	VERB
ejpam-3519	444	47	for	for	ADP
ejpam-3519	444	48	h	h	NOUN
ejpam-3519	444	49	=	=	NOUN
ejpam-3519	444	50	0.15	0.15	NUM
ejpam-3519	444	51	,	,	PUNCT
ejpam-3519	444	52	we	we	PRON
ejpam-3519	444	53	have	have	VERB
ejpam-3519	444	54	the	the	DET
ejpam-3519	444	55	following	follow	VERB
ejpam-3519	444	56	curve	curve	NOUN
ejpam-3519	444	57	:	:	PUNCT
ejpam-3519	444	58	figure	figure	NOUN
ejpam-3519	444	59	7	7	NUM
ejpam-3519	444	60	:	:	PUNCT
ejpam-3519	444	61	comparison	comparison	NOUN
ejpam-3519	444	62	of	of	ADP
ejpam-3519	444	63	the	the	DET
ejpam-3519	444	64	theoretical	theoretical	ADJ
ejpam-3519	444	65	curve	curve	NOUN
ejpam-3519	444	66	and	and	CCONJ
ejpam-3519	444	67	the	the	DET
ejpam-3519	444	68	kernel	kernel	PROPN
ejpam-3519	444	69	density	density	PROPN
ejpam-3519	444	70	estimator	estimator	NOUN
ejpam-3519	444	71	at	at	ADP
ejpam-3519	444	72	h=0.15	h=0.15	PROPN
ejpam-3519	444	73	8.2.2	8.2.2	NUM
ejpam-3519	444	74	.	.	PUNCT
ejpam-3519	445	1	interpretation	interpretation	NOUN
ejpam-3519	445	2	as	as	ADP
ejpam-3519	445	3	a	a	DET
ejpam-3519	445	4	reminder	reminder	NOUN
ejpam-3519	445	5	,	,	PUNCT
ejpam-3519	445	6	bw	bw	PROPN
ejpam-3519	445	7	refers	refer	VERB
ejpam-3519	445	8	to	to	ADP
ejpam-3519	445	9	the	the	DET
ejpam-3519	445	10	window	window	NOUN
ejpam-3519	445	11	or	or	CCONJ
ejpam-3519	445	12	smoothing	smooth	VERB
ejpam-3519	445	13	parameter	parameter	NOUN
ejpam-3519	445	14	that	that	SCONJ
ejpam-3519	445	15	we	we	PRON
ejpam-3519	445	16	have	have	AUX
ejpam-3519	445	17	noted	note	VERB
ejpam-3519	445	18	h	h	NOUN
ejpam-3519	445	19	in	in	ADP
ejpam-3519	445	20	all	all	DET
ejpam-3519	445	21	our	our	PRON
ejpam-3519	445	22	work	work	NOUN
ejpam-3519	445	23	.	.	PUNCT
ejpam-3519	446	1	the	the	DET
ejpam-3519	446	2	density	density	NOUN
ejpam-3519	446	3	function	function	NOUN
ejpam-3519	446	4	is	be	AUX
ejpam-3519	446	5	estimated	estimate	VERB
ejpam-3519	446	6	using	use	VERB
ejpam-3519	446	7	the	the	DET
ejpam-3519	446	8	circular	circular	ADJ
ejpam-3519	446	9	core	core	NOUN
ejpam-3519	446	10	estimator	estimator	NOUN
ejpam-3519	446	11	.	.	PUNCT
ejpam-3519	447	1	this	this	DET
ejpam-3519	447	2	estimator	estimator	NOUN
ejpam-3519	447	3	and	and	CCONJ
ejpam-3519	447	4	the	the	DET
ejpam-3519	447	5	function	function	NOUN
ejpam-3519	447	6	to	to	PART
ejpam-3519	447	7	be	be	AUX
ejpam-3519	447	8	estimated	estimate	VERB
ejpam-3519	447	9	for	for	ADP
ejpam-3519	447	10	the	the	DET
ejpam-3519	447	11	density	density	NOUN
ejpam-3519	447	12	function	function	NOUN
ejpam-3519	447	13	of	of	ADP
ejpam-3519	447	14	the	the	DET
ejpam-3519	447	15	reduced	reduce	VERB
ejpam-3519	447	16	normal	normal	ADJ
ejpam-3519	447	17	centered	center	VERB
ejpam-3519	447	18	law	law	NOUN
ejpam-3519	447	19	,	,	PUNCT
ejpam-3519	447	20	if	if	SCONJ
ejpam-3519	447	21	any	any	PRON
ejpam-3519	447	22	,	,	PUNCT
ejpam-3519	447	23	are	be	AUX
ejpam-3519	447	24	represented	represent	VERB
ejpam-3519	447	25	according	accord	VERB
ejpam-3519	447	26	to	to	ADP
ejpam-3519	447	27	different	different	ADJ
ejpam-3519	447	28	values	value	NOUN
ejpam-3519	447	29	of	of	ADP
ejpam-3519	447	30	the	the	DET
ejpam-3519	447	31	smoothing	smoothing	NOUN
ejpam-3519	447	32	parameter	parameter	NOUN
ejpam-3519	447	33	.	.	PUNCT
ejpam-3519	448	1	we	we	PRON
ejpam-3519	448	2	noticed	notice	VERB
ejpam-3519	448	3	that	that	SCONJ
ejpam-3519	448	4	for	for	ADP
ejpam-3519	448	5	every	every	DET
ejpam-3519	448	6	larger	large	ADJ
ejpam-3519	448	7	values	value	NOUN
ejpam-3519	448	8	of	of	ADP
ejpam-3519	448	9	the	the	DET
ejpam-3519	448	10	smoothing	smoothing	NOUN
ejpam-3519	448	11	window	window	NOUN
ejpam-3519	448	12	,	,	PUNCT
ejpam-3519	448	13	our	our	PRON
ejpam-3519	448	14	estimator	estimator	NOUN
ejpam-3519	448	15	has	have	VERB
ejpam-3519	448	16	a	a	DET
ejpam-3519	448	17	rounded	rounded	ADJ
ejpam-3519	448	18	shape	shape	NOUN
ejpam-3519	448	19	and	and	CCONJ
ejpam-3519	448	20	approaches	approach	VERB
ejpam-3519	448	21	the	the	DET
ejpam-3519	448	22	line	line	NOUN
ejpam-3519	448	23	of	of	ADP
ejpam-3519	448	24	equation	equation	NOUN
ejpam-3519	448	25	y	y	PROPN
ejpam-3519	448	26	=	=	SYM
ejpam-3519	448	27	0	0	PROPN
ejpam-3519	449	1	(	(	PUNCT
ejpam-3519	449	2	see	see	VERB
ejpam-3519	449	3	figure	figure	NOUN
ejpam-3519	449	4	2	2	NUM
ejpam-3519	449	5	and	and	CCONJ
ejpam-3519	449	6	figure	figure	VERB
ejpam-3519	449	7	3	3	NUM
ejpam-3519	449	8	)	)	PUNCT
ejpam-3519	449	9	.	.	PUNCT
ejpam-3519	450	1	on	on	ADP
ejpam-3519	450	2	the	the	DET
ejpam-3519	450	3	other	other	ADJ
ejpam-3519	450	4	hand	hand	NOUN
ejpam-3519	450	5	,	,	PUNCT
ejpam-3519	450	6	for	for	SCONJ
ejpam-3519	450	7	values	value	NOUN
ejpam-3519	450	8	of	of	ADP
ejpam-3519	450	9	the	the	DET
ejpam-3519	450	10	window	window	NOUN
ejpam-3519	450	11	smaller	small	ADJ
ejpam-3519	450	12	and	and	CCONJ
ejpam-3519	450	13	smaller	small	ADJ
ejpam-3519	450	14	,	,	PUNCT
ejpam-3519	450	15	our	our	PRON
ejpam-3519	450	16	estimator	estimator	NOUN
ejpam-3519	450	17	approaches	approach	VERB
ejpam-3519	450	18	the	the	DET
ejpam-3519	450	19	true	true	ADJ
ejpam-3519	450	20	density	density	NOUN
ejpam-3519	450	21	function	function	NOUN
ejpam-3519	450	22	of	of	ADP
ejpam-3519	450	23	the	the	DET
ejpam-3519	450	24	reduced	reduce	VERB
ejpam-3519	450	25	normal	normal	ADJ
ejpam-3519	450	26	centered	center	VERB
ejpam-3519	450	27	law	law	NOUN
ejpam-3519	450	28	(	(	PUNCT
ejpam-3519	450	29	see	see	VERB
ejpam-3519	450	30	figure	figure	NOUN
ejpam-3519	450	31	4	4	NUM
ejpam-3519	450	32	,	,	PUNCT
ejpam-3519	450	33	figure	figure	VERB
ejpam-3519	450	34	5	5	NUM
ejpam-3519	450	35	and	and	CCONJ
ejpam-3519	450	36	figure	figure	VERB
ejpam-3519	450	37	7	7	NUM
ejpam-3519	450	38	)	)	PUNCT
ejpam-3519	450	39	.	.	PUNCT
ejpam-3519	451	1	thus	thus	ADV
ejpam-3519	451	2	,	,	PUNCT
ejpam-3519	451	3	if	if	SCONJ
ejpam-3519	451	4	the	the	DET
ejpam-3519	451	5	choice	choice	NOUN
ejpam-3519	451	6	of	of	ADP
ejpam-3519	451	7	the	the	DET
ejpam-3519	451	8	kernel	kernel	NOUN
ejpam-3519	451	9	is	be	AUX
ejpam-3519	451	10	considered	consider	VERB
ejpam-3519	451	11	as	as	ADP
ejpam-3519	451	12	having	have	VERB
ejpam-3519	451	13	little	little	ADJ
ejpam-3519	451	14	influence	influence	NOUN
ejpam-3519	451	15	on	on	ADP
ejpam-3519	451	16	the	the	DET
ejpam-3519	451	17	d.	d.	PROPN
ejpam-3519	451	18	a.	a.	PROPN
ejpam-3519	451	19	n.	n.	PROPN
ejpam-3519	451	20	njamen	njamen	PROPN
ejpam-3519	451	21	,	,	PUNCT
ejpam-3519	451	22	h.	h.	PROPN
ejpam-3519	451	23	c.	c.	PROPN
ejpam-3519	451	24	yayebga	yayebga	PROPN
ejpam-3519	451	25	/	/	SYM
ejpam-3519	451	26	eur	eur	PROPN
ejpam-3519	451	27	.	.	PUNCT
ejpam-3519	452	1	j.	j.	PROPN
ejpam-3519	452	2	pure	pure	PROPN
ejpam-3519	452	3	appl	appl	PROPN
ejpam-3519	452	4	.	.	PROPN
ejpam-3519	452	5	math	math	PROPN
ejpam-3519	452	6	,	,	PUNCT
ejpam-3519	452	7	12	12	NUM
ejpam-3519	452	8	(	(	PUNCT
ejpam-3519	452	9	4	4	NUM
ejpam-3519	452	10	)	)	PUNCT
ejpam-3519	452	11	(	(	PUNCT
ejpam-3519	452	12	2019	2019	NUM
ejpam-3519	452	13	)	)	PUNCT
ejpam-3519	452	14	,	,	PUNCT
ejpam-3519	452	15	1612	1612	NUM
ejpam-3519	452	16	-	-	SYM
ejpam-3519	452	17	1642	1642	NUM
ejpam-3519	452	18	1636	1636	NUM
ejpam-3519	452	19	estimator	estimator	NOUN
ejpam-3519	452	20	,	,	PUNCT
ejpam-3519	452	21	it	it	PRON
ejpam-3519	452	22	is	be	AUX
ejpam-3519	452	23	not	not	PART
ejpam-3519	452	24	the	the	DET
ejpam-3519	452	25	same	same	ADJ
ejpam-3519	452	26	for	for	ADP
ejpam-3519	452	27	the	the	DET
ejpam-3519	452	28	smoothing	smoothing	NOUN
ejpam-3519	452	29	parameter	parameter	NOUN
ejpam-3519	452	30	.	.	PUNCT
ejpam-3519	453	1	a	a	DET
ejpam-3519	453	2	parameter	parameter	NOUN
ejpam-3519	453	3	that	that	PRON
ejpam-3519	453	4	is	be	AUX
ejpam-3519	453	5	too	too	ADV
ejpam-3519	453	6	weak	weak	ADJ
ejpam-3519	453	7	causes	cause	VERB
ejpam-3519	453	8	the	the	DET
ejpam-3519	453	9	appearance	appearance	NOUN
ejpam-3519	453	10	of	of	ADP
ejpam-3519	453	11	artificial	artificial	ADJ
ejpam-3519	453	12	details	detail	NOUN
ejpam-3519	453	13	appearing	appear	VERB
ejpam-3519	453	14	on	on	ADP
ejpam-3519	453	15	the	the	DET
ejpam-3519	453	16	graph	graph	NOUN
ejpam-3519	453	17	of	of	ADP
ejpam-3519	453	18	the	the	DET
ejpam-3519	453	19	estimator	estimator	NOUN
ejpam-3519	453	20	.	.	PUNCT
ejpam-3519	454	1	for	for	ADP
ejpam-3519	454	2	a	a	DET
ejpam-3519	454	3	value	value	NOUN
ejpam-3519	454	4	of	of	ADP
ejpam-3519	454	5	h	h	NOUN
ejpam-3519	454	6	that	that	PRON
ejpam-3519	454	7	is	be	AUX
ejpam-3519	454	8	too	too	ADV
ejpam-3519	454	9	large	large	ADJ
ejpam-3519	454	10	(	(	PUNCT
ejpam-3519	454	11	see	see	VERB
ejpam-3519	454	12	figure	figure	NOUN
ejpam-3519	454	13	2	2	NUM
ejpam-3519	454	14	,	,	PUNCT
ejpam-3519	454	15	figure	figure	NOUN
ejpam-3519	454	16	3	3	NUM
ejpam-3519	454	17	)	)	PUNCT
ejpam-3519	454	18	,	,	PUNCT
ejpam-3519	454	19	the	the	DET
ejpam-3519	454	20	majority	majority	NOUN
ejpam-3519	454	21	of	of	ADP
ejpam-3519	454	22	the	the	DET
ejpam-3519	454	23	characteristics	characteristic	NOUN
ejpam-3519	454	24	are	be	AUX
ejpam-3519	454	25	on	on	ADP
ejpam-3519	454	26	the	the	DET
ejpam-3519	454	27	contrary	contrary	NOUN
ejpam-3519	454	28	erased	erase	VERB
ejpam-3519	454	29	.	.	PUNCT
ejpam-3519	455	1	the	the	DET
ejpam-3519	455	2	choice	choice	NOUN
ejpam-3519	455	3	of	of	ADP
ejpam-3519	455	4	h	h	NOUN
ejpam-3519	455	5	is	be	AUX
ejpam-3519	455	6	therefore	therefore	ADV
ejpam-3519	455	7	a	a	DET
ejpam-3519	455	8	central	central	ADJ
ejpam-3519	455	9	question	question	NOUN
ejpam-3519	455	10	in	in	ADP
ejpam-3519	455	11	estimating	estimate	VERB
ejpam-3519	455	12	density	density	NOUN
ejpam-3519	455	13	.	.	PUNCT
ejpam-3519	456	1	hence	hence	ADV
ejpam-3519	456	2	the	the	DET
ejpam-3519	456	3	importance	importance	NOUN
ejpam-3519	456	4	of	of	ADP
ejpam-3519	456	5	determining	determine	VERB
ejpam-3519	456	6	an	an	DET
ejpam-3519	456	7	optimal	optimal	ADJ
ejpam-3519	456	8	smoothing	smoothing	NOUN
ejpam-3519	456	9	parameter	parameter	NOUN
ejpam-3519	456	10	.	.	PUNCT
ejpam-3519	457	1	the	the	DET
ejpam-3519	457	2	calculation	calculation	NOUN
ejpam-3519	457	3	of	of	ADP
ejpam-3519	457	4	this	this	DET
ejpam-3519	457	5	optimal	optimal	ADJ
ejpam-3519	457	6	parameter	parameter	NOUN
ejpam-3519	457	7	gives	give	VERB
ejpam-3519	457	8	us	we	PRON
ejpam-3519	457	9	for	for	ADP
ejpam-3519	457	10	a	a	DET
ejpam-3519	457	11	sample	sample	NOUN
ejpam-3519	457	12	of	of	ADP
ejpam-3519	457	13	size	size	NOUN
ejpam-3519	457	14	n	n	NOUN
ejpam-3519	457	15	=	=	SYM
ejpam-3519	457	16	500	500	NUM
ejpam-3519	457	17	,	,	PUNCT
ejpam-3519	457	18	hopt	hopt	VERB
ejpam-3519	457	19	=	=	PUNCT
ejpam-3519	457	20	0.2587	0.2587	NUM
ejpam-3519	457	21	,	,	PUNCT
ejpam-3519	457	22	(	(	PUNCT
ejpam-3519	457	23	see	see	VERB
ejpam-3519	457	24	figure	figure	NOUN
ejpam-3519	457	25	6	6	NUM
ejpam-3519	457	26	)	)	PUNCT
ejpam-3519	457	27	.	.	PUNCT
ejpam-3519	458	1	at	at	ADP
ejpam-3519	458	2	this	this	DET
ejpam-3519	458	3	value	value	NOUN
ejpam-3519	458	4	,	,	PUNCT
ejpam-3519	458	5	our	our	PRON
ejpam-3519	458	6	estimator	estimator	NOUN
ejpam-3519	458	7	is	be	AUX
ejpam-3519	458	8	almost	almost	ADV
ejpam-3519	458	9	similar	similar	ADJ
ejpam-3519	458	10	to	to	ADP
ejpam-3519	458	11	the	the	DET
ejpam-3519	458	12	true	true	ADJ
ejpam-3519	458	13	density	density	NOUN
ejpam-3519	458	14	,	,	PUNCT
ejpam-3519	458	15	which	which	PRON
ejpam-3519	458	16	shows	show	VERB
ejpam-3519	458	17	us	we	PRON
ejpam-3519	458	18	the	the	DET
ejpam-3519	458	19	efficiency	efficiency	NOUN
ejpam-3519	458	20	of	of	ADP
ejpam-3519	458	21	our	our	PRON
ejpam-3519	458	22	estimator	estimator	NOUN
ejpam-3519	458	23	and	and	CCONJ
ejpam-3519	458	24	so	so	ADV
ejpam-3519	458	25	this	this	DET
ejpam-3519	458	26	estimator	estimator	NOUN
ejpam-3519	458	27	can	can	AUX
ejpam-3519	458	28	therefore	therefore	ADV
ejpam-3519	458	29	substitute	substitute	VERB
ejpam-3519	458	30	for	for	ADP
ejpam-3519	458	31	the	the	DET
ejpam-3519	458	32	density	density	NOUN
ejpam-3519	458	33	function	function	NOUN
ejpam-3519	458	34	of	of	ADP
ejpam-3519	458	35	the	the	DET
ejpam-3519	458	36	reduced	reduce	VERB
ejpam-3519	458	37	normal	normal	ADJ
ejpam-3519	458	38	centered	center	VERB
ejpam-3519	458	39	law	law	NOUN
ejpam-3519	458	40	.	.	PUNCT
ejpam-3519	459	1	8.3	8.3	NUM
ejpam-3519	459	2	.	.	PUNCT
ejpam-3519	460	1	real	real	ADJ
ejpam-3519	460	2	data	datum	NOUN
ejpam-3519	460	3	case	case	NOUN
ejpam-3519	460	4	in	in	ADP
ejpam-3519	460	5	this	this	DET
ejpam-3519	460	6	subsection	subsection	NOUN
ejpam-3519	460	7	,	,	PUNCT
ejpam-3519	460	8	we	we	PRON
ejpam-3519	460	9	use	use	VERB
ejpam-3519	460	10	data	datum	NOUN
ejpam-3519	460	11	collected	collect	VERB
ejpam-3519	460	12	during	during	ADP
ejpam-3519	460	13	a	a	DET
ejpam-3519	460	14	survey	survey	NOUN
ejpam-3519	460	15	to	to	PART
ejpam-3519	460	16	study	study	VERB
ejpam-3519	460	17	the	the	DET
ejpam-3519	460	18	concentration	concentration	NOUN
ejpam-3519	460	19	of	of	ADP
ejpam-3519	460	20	co2	co2	NOUN
ejpam-3519	460	21	in	in	ADP
ejpam-3519	460	22	the	the	DET
ejpam-3519	460	23	atmosphere	atmosphere	NOUN
ejpam-3519	460	24	around	around	ADP
ejpam-3519	460	25	a	a	DET
ejpam-3519	460	26	very	very	ADV
ejpam-3519	460	27	active	active	ADJ
ejpam-3519	460	28	volcano	volcano	NOUN
ejpam-3519	460	29	called	call	VERB
ejpam-3519	460	30	mauna	mauna	PROPN
ejpam-3519	460	31	loa	loa	PROPN
ejpam-3519	460	32	in	in	ADP
ejpam-3519	460	33	the	the	DET
ejpam-3519	460	34	hawaiian	hawaiian	ADJ
ejpam-3519	460	35	archipelago	archipelago	NOUN
ejpam-3519	460	36	in	in	ADP
ejpam-3519	460	37	the	the	DET
ejpam-3519	460	38	united	united	PROPN
ejpam-3519	460	39	states	states	PROPN
ejpam-3519	460	40	of	of	ADP
ejpam-3519	460	41	america	america	PROPN
ejpam-3519	460	42	culminating	culminate	VERB
ejpam-3519	460	43	at	at	ADP
ejpam-3519	460	44	4	4	NUM
ejpam-3519	460	45	,	,	PUNCT
ejpam-3519	460	46	100	100	NUM
ejpam-3519	460	47	meters	meter	NOUN
ejpam-3519	460	48	above	above	ADP
ejpam-3519	460	49	level	level	NOUN
ejpam-3519	460	50	.	.	PUNCT
ejpam-3519	461	1	this	this	DET
ejpam-3519	461	2	study	study	NOUN
ejpam-3519	461	3	was	be	AUX
ejpam-3519	461	4	conducted	conduct	VERB
ejpam-3519	461	5	between	between	ADP
ejpam-3519	461	6	1959	1959	NUM
ejpam-3519	461	7	and	and	CCONJ
ejpam-3519	461	8	1997	1997	NUM
ejpam-3519	461	9	from	from	ADP
ejpam-3519	461	10	january	january	PROPN
ejpam-3519	461	11	to	to	ADP
ejpam-3519	461	12	december	december	PROPN
ejpam-3519	461	13	of	of	ADP
ejpam-3519	461	14	those	those	DET
ejpam-3519	461	15	years	year	NOUN
ejpam-3519	461	16	of	of	ADP
ejpam-3519	461	17	study	study	NOUN
ejpam-3519	461	18	.	.	PUNCT
ejpam-3519	462	1	the	the	DET
ejpam-3519	462	2	catches	catch	NOUN
ejpam-3519	462	3	below	below	ADP
ejpam-3519	462	4	present	present	NOUN
ejpam-3519	462	5	all	all	DET
ejpam-3519	462	6	these	these	DET
ejpam-3519	462	7	data	datum	NOUN
ejpam-3519	462	8	expressed	express	VERB
ejpam-3519	462	9	in	in	ADP
ejpam-3519	462	10	ppm	ppm	NOUN
ejpam-3519	462	11	(	(	PUNCT
ejpam-3519	462	12	parts	part	NOUN
ejpam-3519	462	13	per	per	ADP
ejpam-3519	462	14	million	million	NUM
ejpam-3519	462	15	):	):	PUNCT
ejpam-3519	462	16	figure	figure	NOUN
ejpam-3519	462	17	8	8	NUM
ejpam-3519	462	18	:	:	PUNCT
ejpam-3519	462	19	concentration	concentration	NOUN
ejpam-3519	462	20	data	datum	NOUN
ejpam-3519	462	21	in	in	ADP
ejpam-3519	462	22	co2	co2	NOUN
ejpam-3519	462	23	from	from	ADP
ejpam-3519	462	24	january	january	PROPN
ejpam-3519	462	25	to	to	ADP
ejpam-3519	462	26	october	october	PROPN
ejpam-3519	462	27	figure	figure	NOUN
ejpam-3519	462	28	9	9	NUM
ejpam-3519	462	29	:	:	PUNCT
ejpam-3519	462	30	concentration	concentration	NOUN
ejpam-3519	462	31	data	datum	NOUN
ejpam-3519	462	32	in	in	ADP
ejpam-3519	462	33	co2	co2	NOUN
ejpam-3519	462	34	from	from	ADP
ejpam-3519	462	35	november	november	PROPN
ejpam-3519	462	36	to	to	ADP
ejpam-3519	462	37	december	december	PROPN
ejpam-3519	462	38	d.	d.	PROPN
ejpam-3519	462	39	a.	a.	PROPN
ejpam-3519	462	40	n.	n.	PROPN
ejpam-3519	462	41	njamen	njamen	PROPN
ejpam-3519	462	42	,	,	PUNCT
ejpam-3519	462	43	h.	h.	PROPN
ejpam-3519	462	44	c.	c.	PROPN
ejpam-3519	462	45	yayebga	yayebga	PROPN
ejpam-3519	462	46	/	/	SYM
ejpam-3519	462	47	eur	eur	PROPN
ejpam-3519	462	48	.	.	PUNCT
ejpam-3519	463	1	j.	j.	PROPN
ejpam-3519	463	2	pure	pure	PROPN
ejpam-3519	463	3	appl	appl	PROPN
ejpam-3519	463	4	.	.	PROPN
ejpam-3519	463	5	math	math	PROPN
ejpam-3519	463	6	,	,	PUNCT
ejpam-3519	463	7	12	12	NUM
ejpam-3519	463	8	(	(	PUNCT
ejpam-3519	463	9	4	4	NUM
ejpam-3519	463	10	)	)	PUNCT
ejpam-3519	463	11	(	(	PUNCT
ejpam-3519	463	12	2019	2019	NUM
ejpam-3519	463	13	)	)	PUNCT
ejpam-3519	463	14	,	,	PUNCT
ejpam-3519	463	15	1612	1612	NUM
ejpam-3519	463	16	-	-	SYM
ejpam-3519	463	17	1642	1642	NUM
ejpam-3519	463	18	1637	1637	NUM
ejpam-3519	463	19	in	in	ADP
ejpam-3519	463	20	this	this	DET
ejpam-3519	463	21	study	study	NOUN
ejpam-3519	463	22	,	,	PUNCT
ejpam-3519	463	23	468	468	NUM
ejpam-3519	463	24	data	datum	NOUN
ejpam-3519	463	25	was	be	AUX
ejpam-3519	463	26	collected	collect	VERB
ejpam-3519	463	27	.	.	PUNCT
ejpam-3519	464	1	the	the	DET
ejpam-3519	464	2	curve	curve	NOUN
ejpam-3519	464	3	of	of	ADP
ejpam-3519	464	4	the	the	DET
ejpam-3519	464	5	function	function	NOUN
ejpam-3519	464	6	of	of	ADP
ejpam-3519	464	7	the	the	DET
ejpam-3519	464	8	reduced	reduce	VERB
ejpam-3519	464	9	normal	normal	ADJ
ejpam-3519	464	10	centered	center	VERB
ejpam-3519	464	11	law	law	NOUN
ejpam-3519	464	12	for	for	ADP
ejpam-3519	464	13	these	these	DET
ejpam-3519	464	14	real	real	ADJ
ejpam-3519	464	15	data	datum	NOUN
ejpam-3519	464	16	is	be	AUX
ejpam-3519	464	17	obtained	obtain	VERB
ejpam-3519	464	18	through	through	ADP
ejpam-3519	464	19	the	the	DET
ejpam-3519	464	20	software	software	NOUN
ejpam-3519	464	21	r	r	NOUN
ejpam-3519	464	22	:	:	PUNCT
ejpam-3519	464	23	figure	figure	NOUN
ejpam-3519	464	24	10	10	NUM
ejpam-3519	464	25	:	:	PUNCT
ejpam-3519	464	26	true	true	ADJ
ejpam-3519	464	27	density	density	NOUN
ejpam-3519	464	28	function	function	NOUN
ejpam-3519	464	29	with	with	ADP
ejpam-3519	464	30	real	real	ADJ
ejpam-3519	464	31	data	datum	NOUN
ejpam-3519	464	32	the	the	DET
ejpam-3519	464	33	curve	curve	NOUN
ejpam-3519	464	34	of	of	ADP
ejpam-3519	464	35	the	the	DET
ejpam-3519	464	36	density	density	NOUN
ejpam-3519	464	37	of	of	ADP
ejpam-3519	464	38	the	the	DET
ejpam-3519	464	39	normal	normal	ADJ
ejpam-3519	464	40	law	law	NOUN
ejpam-3519	464	41	above	above	ADV
ejpam-3519	464	42	is	be	AUX
ejpam-3519	464	43	positive	positive	ADJ
ejpam-3519	464	44	and	and	CCONJ
ejpam-3519	464	45	is	be	AUX
ejpam-3519	464	46	taken	take	VERB
ejpam-3519	464	47	in	in	ADP
ejpam-3519	464	48	half	half	NOUN
ejpam-3519	464	49	.	.	PUNCT
ejpam-3519	465	1	in	in	ADP
ejpam-3519	465	2	what	what	PRON
ejpam-3519	465	3	follows	follow	VERB
ejpam-3519	465	4	,	,	PUNCT
ejpam-3519	465	5	we	we	PRON
ejpam-3519	465	6	will	will	AUX
ejpam-3519	465	7	generate	generate	VERB
ejpam-3519	465	8	the	the	DET
ejpam-3519	465	9	data	datum	NOUN
ejpam-3519	465	10	from	from	ADP
ejpam-3519	465	11	the	the	DET
ejpam-3519	465	12	r	r	NOUN
ejpam-3519	465	13	software	software	NOUN
ejpam-3519	465	14	8.3.1	8.3.1	NOUN
ejpam-3519	465	15	.	.	PUNCT
ejpam-3519	465	16	result	result	NOUN
ejpam-3519	465	17	of	of	ADP
ejpam-3519	465	18	simulation	simulation	NOUN
ejpam-3519	465	19	the	the	DET
ejpam-3519	465	20	simulation	simulation	NOUN
ejpam-3519	465	21	was	be	AUX
ejpam-3519	465	22	performed	perform	VERB
ejpam-3519	465	23	for	for	ADP
ejpam-3519	465	24	several	several	ADJ
ejpam-3519	465	25	values	value	NOUN
ejpam-3519	465	26	of	of	ADP
ejpam-3519	465	27	the	the	DET
ejpam-3519	465	28	smoothing	smoothing	NOUN
ejpam-3519	465	29	parameter	parameter	NOUN
ejpam-3519	465	30	.	.	PUNCT
ejpam-3519	466	1	for	for	ADP
ejpam-3519	466	2	h	h	NOUN
ejpam-3519	466	3	=	=	SYM
ejpam-3519	466	4	50	50	NUM
ejpam-3519	466	5	,	,	PUNCT
ejpam-3519	466	6	we	we	PRON
ejpam-3519	466	7	have	have	VERB
ejpam-3519	466	8	the	the	DET
ejpam-3519	466	9	following	follow	VERB
ejpam-3519	466	10	curve	curve	NOUN
ejpam-3519	466	11	:	:	PUNCT
ejpam-3519	466	12	figure	figure	NOUN
ejpam-3519	466	13	11	11	NUM
ejpam-3519	466	14	:	:	PUNCT
ejpam-3519	466	15	curve	curve	NOUN
ejpam-3519	466	16	of	of	ADP
ejpam-3519	466	17	the	the	DET
ejpam-3519	466	18	kernel	kernel	PROPN
ejpam-3519	466	19	estimator	estimator	NOUN
ejpam-3519	466	20	for	for	ADP
ejpam-3519	466	21	h	h	NOUN
ejpam-3519	466	22	=	=	SYM
ejpam-3519	466	23	50	50	NUM
ejpam-3519	466	24	d.	d.	PROPN
ejpam-3519	466	25	a.	a.	PROPN
ejpam-3519	466	26	n.	n.	PROPN
ejpam-3519	466	27	njamen	njamen	PROPN
ejpam-3519	466	28	,	,	PUNCT
ejpam-3519	466	29	h.	h.	PROPN
ejpam-3519	466	30	c.	c.	PROPN
ejpam-3519	466	31	yayebga	yayebga	PROPN
ejpam-3519	466	32	/	/	SYM
ejpam-3519	466	33	eur	eur	PROPN
ejpam-3519	466	34	.	.	PUNCT
ejpam-3519	467	1	j.	j.	PROPN
ejpam-3519	467	2	pure	pure	PROPN
ejpam-3519	467	3	appl	appl	PROPN
ejpam-3519	467	4	.	.	PROPN
ejpam-3519	467	5	math	math	PROPN
ejpam-3519	467	6	,	,	PUNCT
ejpam-3519	467	7	12	12	NUM
ejpam-3519	467	8	(	(	PUNCT
ejpam-3519	467	9	4	4	NUM
ejpam-3519	467	10	)	)	PUNCT
ejpam-3519	467	11	(	(	PUNCT
ejpam-3519	467	12	2019	2019	NUM
ejpam-3519	467	13	)	)	PUNCT
ejpam-3519	467	14	,	,	PUNCT
ejpam-3519	467	15	1612	1612	NUM
ejpam-3519	467	16	-	-	SYM
ejpam-3519	467	17	1642	1642	NUM
ejpam-3519	467	18	1638	1638	NUM
ejpam-3519	467	19	for	for	ADP
ejpam-3519	467	20	h	h	NOUN
ejpam-3519	467	21	=	=	SYM
ejpam-3519	467	22	20	20	NUM
ejpam-3519	468	1	,	,	PUNCT
ejpam-3519	468	2	we	we	PRON
ejpam-3519	468	3	have	have	VERB
ejpam-3519	468	4	the	the	DET
ejpam-3519	468	5	following	follow	VERB
ejpam-3519	468	6	curve	curve	NOUN
ejpam-3519	468	7	:	:	PUNCT
ejpam-3519	468	8	figure	figure	NOUN
ejpam-3519	468	9	12	12	NUM
ejpam-3519	468	10	:	:	PUNCT
ejpam-3519	468	11	curve	curve	NOUN
ejpam-3519	468	12	of	of	ADP
ejpam-3519	468	13	the	the	DET
ejpam-3519	468	14	kernel	kernel	PROPN
ejpam-3519	468	15	estimator	estimator	NOUN
ejpam-3519	468	16	for	for	ADP
ejpam-3519	468	17	h	h	NOUN
ejpam-3519	468	18	=	=	NOUN
ejpam-3519	468	19	20	20	NUM
ejpam-3519	468	20	for	for	ADP
ejpam-3519	468	21	h	h	NOUN
ejpam-3519	468	22	=	=	SYM
ejpam-3519	468	23	10	10	NUM
ejpam-3519	468	24	,	,	PUNCT
ejpam-3519	468	25	we	we	PRON
ejpam-3519	468	26	have	have	VERB
ejpam-3519	468	27	the	the	DET
ejpam-3519	468	28	following	follow	VERB
ejpam-3519	468	29	curve	curve	NOUN
ejpam-3519	468	30	:	:	PUNCT
ejpam-3519	468	31	figure	figure	NOUN
ejpam-3519	468	32	13	13	NUM
ejpam-3519	468	33	:	:	PUNCT
ejpam-3519	468	34	curve	curve	NOUN
ejpam-3519	468	35	of	of	ADP
ejpam-3519	468	36	the	the	DET
ejpam-3519	468	37	kernel	kernel	PROPN
ejpam-3519	468	38	estimator	estimator	NOUN
ejpam-3519	468	39	for	for	ADP
ejpam-3519	468	40	h	h	NOUN
ejpam-3519	468	41	=	=	NOUN
ejpam-3519	468	42	10	10	NUM
ejpam-3519	468	43	for	for	ADP
ejpam-3519	468	44	h	h	NOUN
ejpam-3519	468	45	=	=	SYM
ejpam-3519	468	46	3	3	NUM
ejpam-3519	468	47	,	,	PUNCT
ejpam-3519	468	48	we	we	PRON
ejpam-3519	468	49	have	have	VERB
ejpam-3519	468	50	the	the	DET
ejpam-3519	468	51	following	follow	VERB
ejpam-3519	468	52	curve	curve	NOUN
ejpam-3519	468	53	:	:	PUNCT
ejpam-3519	468	54	figure	figure	NOUN
ejpam-3519	468	55	14	14	NUM
ejpam-3519	468	56	:	:	PUNCT
ejpam-3519	468	57	curve	curve	NOUN
ejpam-3519	468	58	of	of	ADP
ejpam-3519	468	59	the	the	DET
ejpam-3519	468	60	kernel	kernel	PROPN
ejpam-3519	468	61	estimator	estimator	NOUN
ejpam-3519	468	62	for	for	ADP
ejpam-3519	468	63	h	h	NOUN
ejpam-3519	468	64	=	=	SYM
ejpam-3519	468	65	2	2	NUM
ejpam-3519	468	66	d.	d.	PROPN
ejpam-3519	468	67	a.	a.	PROPN
ejpam-3519	468	68	n.	n.	PROPN
ejpam-3519	468	69	njamen	njamen	PROPN
ejpam-3519	468	70	,	,	PUNCT
ejpam-3519	468	71	h.	h.	PROPN
ejpam-3519	468	72	c.	c.	PROPN
ejpam-3519	468	73	yayebga	yayebga	PROPN
ejpam-3519	468	74	/	/	SYM
ejpam-3519	468	75	eur	eur	PROPN
ejpam-3519	468	76	.	.	PUNCT
ejpam-3519	469	1	j.	j.	PROPN
ejpam-3519	469	2	pure	pure	PROPN
ejpam-3519	469	3	appl	appl	PROPN
ejpam-3519	469	4	.	.	PROPN
ejpam-3519	469	5	math	math	PROPN
ejpam-3519	469	6	,	,	PUNCT
ejpam-3519	469	7	12	12	NUM
ejpam-3519	469	8	(	(	PUNCT
ejpam-3519	469	9	4	4	NUM
ejpam-3519	469	10	)	)	PUNCT
ejpam-3519	469	11	(	(	PUNCT
ejpam-3519	469	12	2019	2019	NUM
ejpam-3519	469	13	)	)	PUNCT
ejpam-3519	469	14	,	,	PUNCT
ejpam-3519	469	15	1612	1612	NUM
ejpam-3519	469	16	-	-	SYM
ejpam-3519	469	17	1642	1642	NUM
ejpam-3519	469	18	1639	1639	NUM
ejpam-3519	469	19	for	for	ADP
ejpam-3519	469	20	h	h	NOUN
ejpam-3519	469	21	=	=	SYM
ejpam-3519	469	22	2	2	NUM
ejpam-3519	469	23	,	,	PUNCT
ejpam-3519	469	24	we	we	PRON
ejpam-3519	469	25	have	have	AUX
ejpam-3519	469	26	the	the	DET
ejpam-3519	469	27	following	follow	VERB
ejpam-3519	469	28	curve	curve	NOUN
ejpam-3519	469	29	:	:	PUNCT
ejpam-3519	469	30	figure	figure	NOUN
ejpam-3519	469	31	15	15	NUM
ejpam-3519	469	32	:	:	PUNCT
ejpam-3519	469	33	curve	curve	NOUN
ejpam-3519	469	34	of	of	ADP
ejpam-3519	469	35	the	the	DET
ejpam-3519	469	36	kernel	kernel	PROPN
ejpam-3519	469	37	estimator	estimator	NOUN
ejpam-3519	469	38	for	for	ADP
ejpam-3519	469	39	h	h	NOUN
ejpam-3519	469	40	=	=	SYM
ejpam-3519	469	41	2	2	NUM
ejpam-3519	469	42	for	for	ADP
ejpam-3519	469	43	h	h	NOUN
ejpam-3519	469	44	=	=	SYM
ejpam-3519	469	45	1	1	NUM
ejpam-3519	469	46	,	,	PUNCT
ejpam-3519	469	47	we	we	PRON
ejpam-3519	469	48	have	have	VERB
ejpam-3519	469	49	the	the	DET
ejpam-3519	469	50	following	follow	VERB
ejpam-3519	469	51	curve	curve	NOUN
ejpam-3519	469	52	:	:	PUNCT
ejpam-3519	469	53	figure	figure	NOUN
ejpam-3519	469	54	16	16	NUM
ejpam-3519	469	55	:	:	PUNCT
ejpam-3519	469	56	curve	curve	NOUN
ejpam-3519	469	57	of	of	ADP
ejpam-3519	469	58	the	the	DET
ejpam-3519	469	59	kernel	kernel	PROPN
ejpam-3519	469	60	estimator	estimator	NOUN
ejpam-3519	469	61	for	for	ADP
ejpam-3519	469	62	h	h	NOUN
ejpam-3519	469	63	=	=	SYM
ejpam-3519	469	64	1	1	NUM
ejpam-3519	469	65	8.3.2	8.3.2	NUM
ejpam-3519	469	66	.	.	PUNCT
ejpam-3519	470	1	interpretation	interpretation	NOUN
ejpam-3519	470	2	as	as	ADP
ejpam-3519	470	3	in	in	ADP
ejpam-3519	470	4	the	the	DET
ejpam-3519	470	5	case	case	NOUN
ejpam-3519	470	6	of	of	ADP
ejpam-3519	470	7	simulated	simulated	ADJ
ejpam-3519	470	8	data	datum	NOUN
ejpam-3519	470	9	,	,	PUNCT
ejpam-3519	470	10	according	accord	VERB
ejpam-3519	470	11	to	to	ADP
ejpam-3519	470	12	different	different	ADJ
ejpam-3519	470	13	values	value	NOUN
ejpam-3519	470	14	of	of	ADP
ejpam-3519	470	15	the	the	DET
ejpam-3519	470	16	smoothing	smoothing	NOUN
ejpam-3519	470	17	parameter	parameter	NOUN
ejpam-3519	470	18	,	,	PUNCT
ejpam-3519	470	19	we	we	PRON
ejpam-3519	470	20	have	have	VERB
ejpam-3519	470	21	a	a	DET
ejpam-3519	470	22	curve	curve	NOUN
ejpam-3519	470	23	which	which	PRON
ejpam-3519	470	24	has	have	VERB
ejpam-3519	470	25	a	a	DET
ejpam-3519	470	26	different	different	ADJ
ejpam-3519	470	27	look	look	NOUN
ejpam-3519	470	28	and	and	CCONJ
ejpam-3519	470	29	tends	tend	VERB
ejpam-3519	470	30	to	to	PART
ejpam-3519	470	31	move	move	VERB
ejpam-3519	470	32	away	away	ADV
ejpam-3519	470	33	or	or	CCONJ
ejpam-3519	470	34	closer	close	ADJ
ejpam-3519	470	35	to	to	ADP
ejpam-3519	470	36	the	the	DET
ejpam-3519	470	37	true	true	ADJ
ejpam-3519	470	38	graph	graph	NOUN
ejpam-3519	470	39	of	of	ADP
ejpam-3519	470	40	the	the	DET
ejpam-3519	470	41	density	density	NOUN
ejpam-3519	470	42	function	function	NOUN
ejpam-3519	470	43	of	of	ADP
ejpam-3519	470	44	the	the	DET
ejpam-3519	470	45	reduced	reduce	VERB
ejpam-3519	470	46	normal	normal	ADJ
ejpam-3519	470	47	centered	center	VERB
ejpam-3519	470	48	law	law	NOUN
ejpam-3519	470	49	(	(	PUNCT
ejpam-3519	470	50	see	see	VERB
ejpam-3519	470	51	figure	figure	NOUN
ejpam-3519	470	52	12	12	NUM
ejpam-3519	470	53	and	and	CCONJ
ejpam-3519	470	54	figure	figure	VERB
ejpam-3519	470	55	13	13	NUM
ejpam-3519	470	56	)	)	PUNCT
ejpam-3519	470	57	represented	represent	VERB
ejpam-3519	470	58	under	under	ADP
ejpam-3519	470	59	the	the	DET
ejpam-3519	470	60	basis	basis	NOUN
ejpam-3519	470	61	of	of	ADP
ejpam-3519	470	62	our	our	PRON
ejpam-3519	470	63	468	468	NUM
ejpam-3519	470	64	observations	observation	NOUN
ejpam-3519	470	65	.	.	PUNCT
ejpam-3519	471	1	on	on	ADP
ejpam-3519	471	2	the	the	DET
ejpam-3519	471	3	other	other	ADJ
ejpam-3519	471	4	hand	hand	NOUN
ejpam-3519	471	5	,	,	PUNCT
ejpam-3519	471	6	we	we	PRON
ejpam-3519	471	7	found	find	VERB
ejpam-3519	471	8	that	that	SCONJ
ejpam-3519	471	9	at	at	ADP
ejpam-3519	471	10	first	first	ADV
ejpam-3519	471	11	,	,	PUNCT
ejpam-3519	471	12	the	the	DET
ejpam-3519	471	13	density	density	NOUN
ejpam-3519	471	14	curve	curve	NOUN
ejpam-3519	471	15	of	of	ADP
ejpam-3519	471	16	the	the	DET
ejpam-3519	471	17	normal	normal	ADJ
ejpam-3519	471	18	law	law	NOUN
ejpam-3519	471	19	is	be	AUX
ejpam-3519	471	20	taken	take	VERB
ejpam-3519	471	21	almost	almost	ADV
ejpam-3519	471	22	half	half	NOUN
ejpam-3519	471	23	(	(	PUNCT
ejpam-3519	471	24	see	see	VERB
ejpam-3519	471	25	figure	figure	NOUN
ejpam-3519	471	26	10	10	NUM
ejpam-3519	471	27	)	)	PUNCT
ejpam-3519	471	28	.	.	PUNCT
ejpam-3519	472	1	and	and	CCONJ
ejpam-3519	472	2	secondly	secondly	ADV
ejpam-3519	472	3	,	,	PUNCT
ejpam-3519	472	4	our	our	PRON
ejpam-3519	472	5	different	different	ADJ
ejpam-3519	472	6	curves	curve	NOUN
ejpam-3519	472	7	have	have	VERB
ejpam-3519	472	8	several	several	ADJ
ejpam-3519	472	9	fluctuations	fluctuation	NOUN
ejpam-3519	472	10	and	and	CCONJ
ejpam-3519	472	11	we	we	PRON
ejpam-3519	472	12	observe	observe	VERB
ejpam-3519	472	13	rounded	rounded	ADJ
ejpam-3519	472	14	shapes	shape	NOUN
ejpam-3519	472	15	of	of	ADP
ejpam-3519	472	16	their	their	PRON
ejpam-3519	472	17	representations	representation	NOUN
ejpam-3519	472	18	(	(	PUNCT
ejpam-3519	472	19	see	see	VERB
ejpam-3519	472	20	figure	figure	NOUN
ejpam-3519	472	21	14	14	NUM
ejpam-3519	472	22	,	,	PUNCT
ejpam-3519	472	23	figure	figure	VERB
ejpam-3519	472	24	15	15	NUM
ejpam-3519	472	25	and	and	CCONJ
ejpam-3519	472	26	figure	figure	VERB
ejpam-3519	472	27	16	16	NUM
ejpam-3519	472	28	)	)	PUNCT
ejpam-3519	472	29	,	,	PUNCT
ejpam-3519	472	30	this	this	PRON
ejpam-3519	472	31	is	be	AUX
ejpam-3519	472	32	due	due	ADJ
ejpam-3519	472	33	to	to	ADP
ejpam-3519	472	34	the	the	DET
ejpam-3519	472	35	fact	fact	NOUN
ejpam-3519	472	36	that	that	SCONJ
ejpam-3519	472	37	all	all	DET
ejpam-3519	472	38	the	the	DET
ejpam-3519	472	39	different	different	ADJ
ejpam-3519	472	40	data	datum	NOUN
ejpam-3519	472	41	we	we	PRON
ejpam-3519	472	42	are	be	AUX
ejpam-3519	472	43	working	work	VERB
ejpam-3519	472	44	on	on	ADP
ejpam-3519	472	45	have	have	AUX
ejpam-3519	472	46	very	very	ADV
ejpam-3519	472	47	small	small	ADJ
ejpam-3519	472	48	values	value	NOUN
ejpam-3519	472	49	and	and	CCONJ
ejpam-3519	472	50	so	so	ADV
ejpam-3519	472	51	we	we	PRON
ejpam-3519	472	52	have	have	AUX
ejpam-3519	472	53	used	use	VERB
ejpam-3519	472	54	a	a	DET
ejpam-3519	472	55	smaller	small	ADJ
ejpam-3519	472	56	scale	scale	NOUN
ejpam-3519	472	57	.	.	PUNCT
ejpam-3519	473	1	however	however	ADV
ejpam-3519	473	2	,	,	PUNCT
ejpam-3519	473	3	whether	whether	SCONJ
ejpam-3519	473	4	in	in	ADP
ejpam-3519	473	5	the	the	DET
ejpam-3519	473	6	context	context	NOUN
ejpam-3519	473	7	of	of	ADP
ejpam-3519	473	8	simulated	simulated	ADJ
ejpam-3519	473	9	data	datum	NOUN
ejpam-3519	473	10	or	or	CCONJ
ejpam-3519	473	11	in	in	ADP
ejpam-3519	473	12	the	the	DET
ejpam-3519	473	13	context	context	NOUN
ejpam-3519	473	14	of	of	ADP
ejpam-3519	473	15	real	real	ADJ
ejpam-3519	473	16	data	datum	NOUN
ejpam-3519	473	17	,	,	PUNCT
ejpam-3519	473	18	the	the	DET
ejpam-3519	473	19	estimation	estimation	NOUN
ejpam-3519	473	20	of	of	ADP
ejpam-3519	473	21	probability	probability	NOUN
ejpam-3519	473	22	densities	density	NOUN
ejpam-3519	473	23	by	by	ADP
ejpam-3519	473	24	the	the	DET
ejpam-3519	473	25	kernel	kernel	PROPN
ejpam-3519	473	26	method	method	NOUN
ejpam-3519	473	27	requires	require	VERB
ejpam-3519	473	28	a	a	DET
ejpam-3519	473	29	reliable	reliable	ADJ
ejpam-3519	473	30	estimation	estimation	NOUN
ejpam-3519	473	31	of	of	ADP
ejpam-3519	473	32	the	the	DET
ejpam-3519	473	33	smoothing	smoothing	NOUN
ejpam-3519	473	34	parameter	parameter	NOUN
ejpam-3519	473	35	.	.	PUNCT
ejpam-3519	474	1	the	the	DET
ejpam-3519	474	2	choice	choice	NOUN
ejpam-3519	474	3	of	of	ADP
ejpam-3519	474	4	the	the	DET
ejpam-3519	474	5	window	window	NOUN
ejpam-3519	474	6	remains	remain	VERB
ejpam-3519	474	7	so	so	ADV
ejpam-3519	474	8	paramount	paramount	ADJ
ejpam-3519	474	9	.	.	PUNCT
ejpam-3519	475	1	the	the	DET
ejpam-3519	475	2	quality	quality	NOUN
ejpam-3519	475	3	of	of	ADP
ejpam-3519	475	4	references	reference	NOUN
ejpam-3519	475	5	1640	1640	NUM
ejpam-3519	475	6	non	non	ADJ
ejpam-3519	475	7	-	-	ADJ
ejpam-3519	475	8	parametric	parametric	ADJ
ejpam-3519	475	9	kernel	kernel	NOUN
ejpam-3519	475	10	-	-	PUNCT
ejpam-3519	475	11	based	base	VERB
ejpam-3519	475	12	estimators	estimator	NOUN
ejpam-3519	475	13	is	be	AUX
ejpam-3519	475	14	closely	closely	ADV
ejpam-3519	475	15	related	relate	VERB
ejpam-3519	475	16	.	.	PUNCT
ejpam-3519	476	1	hence	hence	ADV
ejpam-3519	476	2	the	the	DET
ejpam-3519	476	3	importance	importance	NOUN
ejpam-3519	476	4	is	be	AUX
ejpam-3519	476	5	given	give	VERB
ejpam-3519	476	6	to	to	ADP
ejpam-3519	476	7	the	the	DET
ejpam-3519	476	8	determination	determination	NOUN
ejpam-3519	476	9	of	of	ADP
ejpam-3519	476	10	an	an	DET
ejpam-3519	476	11	appropriate	appropriate	ADJ
ejpam-3519	476	12	smoothing	smoothing	NOUN
ejpam-3519	476	13	window	window	NOUN
ejpam-3519	476	14	to	to	PART
ejpam-3519	476	15	remain	remain	VERB
ejpam-3519	476	16	in	in	ADP
ejpam-3519	476	17	perfect	perfect	ADJ
ejpam-3519	476	18	adequacy	adequacy	NOUN
ejpam-3519	476	19	in	in	ADP
ejpam-3519	476	20	the	the	DET
ejpam-3519	476	21	handling	handling	NOUN
ejpam-3519	476	22	of	of	ADP
ejpam-3519	476	23	our	our	PRON
ejpam-3519	476	24	raw	raw	ADJ
ejpam-3519	476	25	data	datum	NOUN
ejpam-3519	476	26	.	.	PUNCT
ejpam-3519	477	1	9	9	X
ejpam-3519	477	2	.	.	X
ejpam-3519	477	3	conclusion	conclusion	NOUN
ejpam-3519	477	4	and	and	CCONJ
ejpam-3519	477	5	perspectives	perspective	NOUN
ejpam-3519	477	6	in	in	ADP
ejpam-3519	477	7	this	this	DET
ejpam-3519	477	8	paper	paper	NOUN
ejpam-3519	477	9	,	,	PUNCT
ejpam-3519	477	10	we	we	PRON
ejpam-3519	477	11	have	have	AUX
ejpam-3519	477	12	established	establish	VERB
ejpam-3519	477	13	the	the	DET
ejpam-3519	477	14	bias	bias	NOUN
ejpam-3519	477	15	and	and	CCONJ
ejpam-3519	477	16	variance	variance	NOUN
ejpam-3519	477	17	of	of	ADP
ejpam-3519	477	18	circular	circular	ADJ
ejpam-3519	477	19	kernel	kernel	NOUN
ejpam-3519	477	20	density	density	NOUN
ejpam-3519	477	21	.	.	PUNCT
ejpam-3519	478	1	in	in	ADP
ejpam-3519	478	2	addition	addition	NOUN
ejpam-3519	478	3	,	,	PUNCT
ejpam-3519	478	4	we	we	PRON
ejpam-3519	478	5	have	have	AUX
ejpam-3519	478	6	determined	determine	VERB
ejpam-3519	478	7	the	the	DET
ejpam-3519	478	8	optimal	optimal	ADJ
ejpam-3519	478	9	b∗n	b∗n	NUM
ejpam-3519	478	10	window	window	NOUN
ejpam-3519	478	11	of	of	ADP
ejpam-3519	478	12	this	this	DET
ejpam-3519	478	13	estimator	estimator	NOUN
ejpam-3519	478	14	after	after	ADP
ejpam-3519	478	15	first	first	ADV
ejpam-3519	478	16	establishing	establish	VERB
ejpam-3519	478	17	the	the	DET
ejpam-3519	478	18	mean	mean	ADJ
ejpam-3519	478	19	squared	square	VERB
ejpam-3519	478	20	error	error	NOUN
ejpam-3519	478	21	(	(	PUNCT
ejpam-3519	478	22	mse	mse	NOUN
ejpam-3519	478	23	)	)	PUNCT
ejpam-3519	478	24	and	and	CCONJ
ejpam-3519	478	25	the	the	DET
ejpam-3519	478	26	mean	mean	NOUN
ejpam-3519	478	27	integrated	integrate	VERB
ejpam-3519	478	28	squared	square	VERB
ejpam-3519	478	29	error	error	NOUN
ejpam-3519	478	30	(	(	PUNCT
ejpam-3519	478	31	mise	mise	NOUN
ejpam-3519	478	32	)	)	PUNCT
ejpam-3519	478	33	of	of	ADP
ejpam-3519	478	34	this	this	DET
ejpam-3519	478	35	estimator	estimator	NOUN
ejpam-3519	478	36	.	.	PUNCT
ejpam-3519	479	1	finally	finally	ADV
ejpam-3519	479	2	,	,	PUNCT
ejpam-3519	479	3	we	we	PRON
ejpam-3519	479	4	have	have	AUX
ejpam-3519	479	5	established	establish	VERB
ejpam-3519	479	6	the	the	DET
ejpam-3519	479	7	asymptotic	asymptotic	ADJ
ejpam-3519	479	8	expression	expression	NOUN
ejpam-3519	479	9	of	of	ADP
ejpam-3519	479	10	the	the	DET
ejpam-3519	479	11	bias	bias	NOUN
ejpam-3519	479	12	of	of	ADP
ejpam-3519	479	13	the	the	DET
ejpam-3519	479	14	circular	circular	ADJ
ejpam-3519	479	15	kernel	kernel	NOUN
ejpam-3519	479	16	risk	risk	NOUN
ejpam-3519	479	17	function	function	NOUN
ejpam-3519	479	18	estimator	estimator	NOUN
ejpam-3519	479	19	.	.	PUNCT
ejpam-3519	480	1	this	this	DET
ejpam-3519	480	2	work	work	NOUN
ejpam-3519	480	3	is	be	AUX
ejpam-3519	480	4	part	part	NOUN
ejpam-3519	480	5	of	of	ADP
ejpam-3519	480	6	the	the	DET
ejpam-3519	480	7	continuity	continuity	NOUN
ejpam-3519	480	8	of	of	ADP
ejpam-3519	480	9	the	the	DET
ejpam-3519	480	10	work	work	NOUN
ejpam-3519	480	11	of	of	ADP
ejpam-3519	480	12	[	[	X
ejpam-3519	480	13	18	18	NUM
ejpam-3519	480	14	]	]	PUNCT
ejpam-3519	480	15	,	,	PUNCT
ejpam-3519	480	16	[	[	X
ejpam-3519	480	17	22	22	NUM
ejpam-3519	480	18	]	]	PUNCT
ejpam-3519	480	19	and	and	CCONJ
ejpam-3519	480	20	[	[	X
ejpam-3519	480	21	26	26	NUM
ejpam-3519	480	22	]	]	PUNCT
ejpam-3519	480	23	on	on	ADP
ejpam-3519	480	24	the	the	DET
ejpam-3519	480	25	estimation	estimation	NOUN
ejpam-3519	480	26	of	of	ADP
ejpam-3519	480	27	the	the	DET
ejpam-3519	480	28	survival	survival	NOUN
ejpam-3519	480	29	function	function	NOUN
ejpam-3519	480	30	and	and	CCONJ
ejpam-3519	480	31	the	the	DET
ejpam-3519	480	32	risk	risk	NOUN
ejpam-3519	480	33	function	function	NOUN
ejpam-3519	480	34	in	in	ADP
ejpam-3519	480	35	independent	independent	ADJ
ejpam-3519	480	36	cases	case	NOUN
ejpam-3519	480	37	and	and	CCONJ
ejpam-3519	480	38	identically	identically	ADV
ejpam-3519	480	39	distributed	distribute	VERB
ejpam-3519	480	40	with	with	ADP
ejpam-3519	480	41	and	and	CCONJ
ejpam-3519	480	42	without	without	ADP
ejpam-3519	480	43	censorship	censorship	NOUN
ejpam-3519	480	44	.	.	PUNCT
ejpam-3519	481	1	through	through	ADP
ejpam-3519	481	2	simulated	simulated	ADJ
ejpam-3519	481	3	data	datum	NOUN
ejpam-3519	481	4	and	and	CCONJ
ejpam-3519	481	5	real	real	ADJ
ejpam-3519	481	6	data	datum	NOUN
ejpam-3519	481	7	,	,	PUNCT
ejpam-3519	481	8	we	we	PRON
ejpam-3519	481	9	have	have	AUX
ejpam-3519	481	10	shown	show	VERB
ejpam-3519	481	11	that	that	SCONJ
ejpam-3519	481	12	the	the	DET
ejpam-3519	481	13	curve	curve	NOUN
ejpam-3519	481	14	of	of	ADP
ejpam-3519	481	15	the	the	DET
ejpam-3519	481	16	nonparametric	nonparametric	NOUN
ejpam-3519	481	17	estimator	estimator	NOUN
ejpam-3519	481	18	of	of	ADP
ejpam-3519	481	19	the	the	DET
ejpam-3519	481	20	density	density	NOUN
ejpam-3519	481	21	function	function	NOUN
ejpam-3519	481	22	of	of	ADP
ejpam-3519	481	23	the	the	DET
ejpam-3519	481	24	circular	circular	ADJ
ejpam-3519	481	25	kernel	kernel	NOUN
ejpam-3519	481	26	is	be	AUX
ejpam-3519	481	27	confounded	confound	VERB
ejpam-3519	481	28	with	with	ADP
ejpam-3519	481	29	that	that	PRON
ejpam-3519	481	30	for	for	ADP
ejpam-3519	481	31	the	the	DET
ejpam-3519	481	32	optimal	optimal	ADJ
ejpam-3519	481	33	window	window	NOUN
ejpam-3519	481	34	this	this	PRON
ejpam-3519	481	35	which	which	PRON
ejpam-3519	481	36	proves	prove	VERB
ejpam-3519	481	37	the	the	DET
ejpam-3519	481	38	efficiency	efficiency	NOUN
ejpam-3519	481	39	of	of	ADP
ejpam-3519	481	40	our	our	PRON
ejpam-3519	481	41	estimator	estimator	NOUN
ejpam-3519	481	42	.	.	PUNCT
ejpam-3519	482	1	however	however	ADV
ejpam-3519	482	2	,	,	PUNCT
ejpam-3519	482	3	some	some	DET
ejpam-3519	482	4	improvements	improvement	NOUN
ejpam-3519	482	5	remain	remain	VERB
ejpam-3519	482	6	to	to	PART
ejpam-3519	482	7	be	be	AUX
ejpam-3519	482	8	done	do	VERB
ejpam-3519	482	9	in	in	ADP
ejpam-3519	482	10	this	this	DET
ejpam-3519	482	11	article	article	NOUN
ejpam-3519	482	12	.	.	PUNCT
ejpam-3519	483	1	indeed	indeed	ADV
ejpam-3519	483	2	,	,	PUNCT
ejpam-3519	483	3	it	it	PRON
ejpam-3519	483	4	is	be	AUX
ejpam-3519	483	5	a	a	DET
ejpam-3519	483	6	question	question	NOUN
ejpam-3519	483	7	of	of	ADP
ejpam-3519	483	8	establishing	establish	VERB
ejpam-3519	483	9	the	the	DET
ejpam-3519	483	10	confidence	confidence	NOUN
ejpam-3519	483	11	intervals	interval	NOUN
ejpam-3519	483	12	of	of	ADP
ejpam-3519	483	13	the	the	DET
ejpam-3519	483	14	kernel	kernel	PROPN
ejpam-3519	483	15	estimator	estimator	NOUN
ejpam-3519	483	16	of	of	ADP
ejpam-3519	483	17	the	the	DET
ejpam-3519	483	18	density	density	NOUN
ejpam-3519	483	19	function	function	NOUN
ejpam-3519	483	20	and	and	CCONJ
ejpam-3519	483	21	the	the	DET
ejpam-3519	483	22	risk	risk	NOUN
ejpam-3519	483	23	function	function	NOUN
ejpam-3519	483	24	of	of	ADP
ejpam-3519	483	25	the	the	DET
ejpam-3519	483	26	circular	circular	ADJ
ejpam-3519	483	27	kernel	kernel	NOUN
ejpam-3519	483	28	;	;	PUNCT
ejpam-3519	483	29	to	to	PART
ejpam-3519	483	30	redo	redo	VERB
ejpam-3519	483	31	this	this	DET
ejpam-3519	483	32	work	work	NOUN
ejpam-3519	483	33	in	in	ADP
ejpam-3519	483	34	the	the	DET
ejpam-3519	483	35	context	context	NOUN
ejpam-3519	483	36	of	of	ADP
ejpam-3519	483	37	asymmetric	asymmetric	ADJ
ejpam-3519	483	38	nuclei	nucleus	NOUN
ejpam-3519	483	39	and	and	CCONJ
ejpam-3519	483	40	if	if	SCONJ
ejpam-3519	483	41	possible	possible	ADJ
ejpam-3519	483	42	to	to	PART
ejpam-3519	483	43	extend	extend	VERB
ejpam-3519	483	44	the	the	DET
ejpam-3519	483	45	study	study	NOUN
ejpam-3519	483	46	of	of	ADP
ejpam-3519	483	47	the	the	DET
ejpam-3519	483	48	estimation	estimation	NOUN
ejpam-3519	483	49	of	of	ADP
ejpam-3519	483	50	the	the	DET
ejpam-3519	483	51	conditional	conditional	ADJ
ejpam-3519	483	52	risk	risk	NOUN
ejpam-3519	483	53	function	function	NOUN
ejpam-3519	483	54	in	in	ADP
ejpam-3519	483	55	the	the	DET
ejpam-3519	483	56	case	case	NOUN
ejpam-3519	483	57	of	of	ADP
ejpam-3519	483	58	the	the	DET
ejpam-3519	483	59	discrete	discrete	ADJ
ejpam-3519	483	60	nucleus	nucleus	NOUN
ejpam-3519	483	61	.	.	PUNCT
ejpam-3519	484	1	acknowledgements	acknowledgement	VERB
ejpam-3519	484	2	the	the	DET
ejpam-3519	484	3	authors	author	NOUN
ejpam-3519	484	4	thank	thank	VERB
ejpam-3519	484	5	the	the	DET
ejpam-3519	484	6	reviewers	reviewer	NOUN
ejpam-3519	484	7	of	of	ADP
ejpam-3519	484	8	the	the	DET
ejpam-3519	484	9	european	european	PROPN
ejpam-3519	484	10	journal	journal	PROPN
ejpam-3519	484	11	of	of	ADP
ejpam-3519	484	12	pure	pure	ADJ
ejpam-3519	484	13	and	and	CCONJ
ejpam-3519	484	14	applied	applied	ADJ
ejpam-3519	484	15	mathematics	mathematic	NOUN
ejpam-3519	484	16	for	for	ADP
ejpam-3519	484	17	the	the	DET
ejpam-3519	484	18	contributions	contribution	NOUN
ejpam-3519	484	19	and	and	CCONJ
ejpam-3519	484	20	suggestions	suggestion	NOUN
ejpam-3519	484	21	they	they	PRON
ejpam-3519	484	22	will	will	AUX
ejpam-3519	484	23	make	make	VERB
ejpam-3519	484	24	on	on	ADP
ejpam-3519	484	25	this	this	DET
ejpam-3519	484	26	article	article	NOUN
ejpam-3519	484	27	.	.	PUNCT
ejpam-3519	485	1	references	reference	NOUN
ejpam-3519	485	2	[	[	X
ejpam-3519	485	3	1	1	X
ejpam-3519	485	4	]	]	PUNCT
ejpam-3519	485	5	odd	odd	ADJ
ejpam-3519	485	6	aalen	aalen	PROPN
ejpam-3519	485	7	.	.	PUNCT
ejpam-3519	486	1	nonparametric	nonparametric	PROPN
ejpam-3519	486	2	inference	inference	NOUN
ejpam-3519	486	3	for	for	ADP
ejpam-3519	486	4	a	a	DET
ejpam-3519	486	5	family	family	NOUN
ejpam-3519	486	6	of	of	ADP
ejpam-3519	486	7	counting	count	VERB
ejpam-3519	486	8	processes	process	NOUN
ejpam-3519	486	9	.	.	PUNCT
ejpam-3519	487	1	the	the	DET
ejpam-3519	487	2	annals	annal	NOUN
ejpam-3519	487	3	of	of	ADP
ejpam-3519	487	4	statistics	statistic	NOUN
ejpam-3519	487	5	,	,	PUNCT
ejpam-3519	487	6	pages	page	NOUN
ejpam-3519	487	7	701–726	701–726	NUM
ejpam-3519	487	8	,	,	PUNCT
ejpam-3519	487	9	1978	1978	NUM
ejpam-3519	487	10	.	.	PUNCT
ejpam-3519	488	1	[	[	X
ejpam-3519	488	2	2	2	NUM
ejpam-3519	488	3	]	]	X
ejpam-3519	488	4	jr	jr	PROPN
ejpam-3519	488	5	blum	blum	PROPN
ejpam-3519	488	6	and	and	CCONJ
ejpam-3519	488	7	v	v	ADP
ejpam-3519	488	8	susarla	susarla	NOUN
ejpam-3519	488	9	.	.	PUNCT
ejpam-3519	489	1	maximal	maximal	ADJ
ejpam-3519	489	2	deviation	deviation	NOUN
ejpam-3519	489	3	theory	theory	NOUN
ejpam-3519	489	4	of	of	ADP
ejpam-3519	489	5	density	density	NOUN
ejpam-3519	489	6	and	and	CCONJ
ejpam-3519	489	7	failure	failure	NOUN
ejpam-3519	489	8	rate	rate	NOUN
ejpam-3519	489	9	function	function	NOUN
ejpam-3519	489	10	estimates	estimate	NOUN
ejpam-3519	489	11	based	base	VERB
ejpam-3519	489	12	on	on	ADP
ejpam-3519	489	13	censored	censored	ADJ
ejpam-3519	489	14	data	datum	NOUN
ejpam-3519	489	15	.	.	PUNCT
ejpam-3519	490	1	multivariate	multivariate	NOUN
ejpam-3519	490	2	analysis	analysis	NOUN
ejpam-3519	490	3	,	,	PUNCT
ejpam-3519	490	4	5:213–222	5:213–222	NOUN
ejpam-3519	490	5	,	,	PUNCT
ejpam-3519	490	6	1980	1980	NUM
ejpam-3519	490	7	.	.	PUNCT
ejpam-3519	491	1	[	[	X
ejpam-3519	491	2	3	3	NUM
ejpam-3519	491	3	]	]	X
ejpam-3519	491	4	d	d	X
ejpam-3519	491	5	bosq	bosq	PROPN
ejpam-3519	491	6	and	and	CCONJ
ejpam-3519	491	7	jf	jf	PROPN
ejpam-3519	491	8	lecoutre	lecoutre	PROPN
ejpam-3519	491	9	.	.	PUNCT
ejpam-3519	492	1	(	(	PUNCT
ejpam-3519	492	2	(	(	PUNCT
ejpam-3519	492	3	th	th	X
ejpam-3519	492	4	eorie	eorie	PROPN
ejpam-3519	492	5	de	de	X
ejpam-3519	492	6	l’estimation	l’estimation	NOUN
ejpam-3519	492	7	fonctionnelle	fonctionnelle	NOUN
ejpam-3519	492	8	)	)	PUNCT
ejpam-3519	492	9	)	)	PUNCT
ejpam-3519	493	1	economica	economica	PROPN
ejpam-3519	493	2	,	,	PUNCT
ejpam-3519	493	3	1987	1987	NUM
ejpam-3519	493	4	.	.	PUNCT
ejpam-3519	494	1	[	[	X
ejpam-3519	494	2	4	4	NUM
ejpam-3519	494	3	]	]	PUNCT
ejpam-3519	494	4	antonia	antonia	PROPN
ejpam-3519	494	5	foldes	foldes	PROPN
ejpam-3519	494	6	and	and	CCONJ
ejpam-3519	494	7	lidia	lidia	PROPN
ejpam-3519	494	8	rejto	rejto	NOUN
ejpam-3519	494	9	.	.	PUNCT
ejpam-3519	495	1	strong	strong	ADJ
ejpam-3519	495	2	uniform	uniform	ADJ
ejpam-3519	495	3	consistency	consistency	NOUN
ejpam-3519	495	4	for	for	ADP
ejpam-3519	495	5	nonparametric	nonparametric	NOUN
ejpam-3519	495	6	survival	survival	NOUN
ejpam-3519	495	7	curve	curve	NOUN
ejpam-3519	495	8	estimators	estimator	NOUN
ejpam-3519	495	9	from	from	ADP
ejpam-3519	495	10	randomly	randomly	ADV
ejpam-3519	495	11	censored	censor	VERB
ejpam-3519	495	12	data	datum	NOUN
ejpam-3519	495	13	.	.	PUNCT
ejpam-3519	496	1	the	the	DET
ejpam-3519	496	2	annals	annal	NOUN
ejpam-3519	496	3	of	of	ADP
ejpam-3519	496	4	statistics	statistic	NOUN
ejpam-3519	496	5	,	,	PUNCT
ejpam-3519	496	6	pages	page	NOUN
ejpam-3519	496	7	122–129	122–129	NUM
ejpam-3519	496	8	,	,	PUNCT
ejpam-3519	496	9	1981	1981	NUM
ejpam-3519	496	10	.	.	PUNCT
ejpam-3519	497	1	[	[	X
ejpam-3519	497	2	5	5	X
ejpam-3519	497	3	]	]	PUNCT
ejpam-3519	497	4	william	william	PROPN
ejpam-3519	497	5	h	h	PROPN
ejpam-3519	497	6	greene	greene	PROPN
ejpam-3519	497	7	.	.	PUNCT
ejpam-3519	498	1	censored	censor	VERB
ejpam-3519	498	2	data	datum	NOUN
ejpam-3519	498	3	and	and	CCONJ
ejpam-3519	498	4	truncated	truncated	ADJ
ejpam-3519	498	5	distributions	distribution	NOUN
ejpam-3519	498	6	.	.	PUNCT
ejpam-3519	499	1	available	available	ADJ
ejpam-3519	499	2	at	at	ADP
ejpam-3519	499	3	ssrn	ssrn	PROPN
ejpam-3519	499	4	825845	825845	NUM
ejpam-3519	499	5	,	,	PUNCT
ejpam-3519	499	6	2005	2005	NUM
ejpam-3519	499	7	.	.	PUNCT
ejpam-3519	500	1	references	reference	NOUN
ejpam-3519	500	2	1641	1641	NUM
ejpam-3519	500	3	[	[	X
ejpam-3519	500	4	6	6	NUM
ejpam-3519	500	5	]	]	PUNCT
ejpam-3519	500	6	edward	edward	PROPN
ejpam-3519	500	7	l	l	PROPN
ejpam-3519	500	8	kaplan	kaplan	PROPN
ejpam-3519	500	9	and	and	CCONJ
ejpam-3519	500	10	paul	paul	PROPN
ejpam-3519	500	11	meier	meier	PROPN
ejpam-3519	500	12	.	.	PUNCT
ejpam-3519	501	1	nonparametric	nonparametric	PROPN
ejpam-3519	501	2	estimation	estimation	NOUN
ejpam-3519	501	3	from	from	ADP
ejpam-3519	501	4	incomplete	incomplete	ADJ
ejpam-3519	501	5	observations	observation	NOUN
ejpam-3519	501	6	.	.	PUNCT
ejpam-3519	502	1	journal	journal	NOUN
ejpam-3519	502	2	of	of	ADP
ejpam-3519	502	3	the	the	DET
ejpam-3519	502	4	american	american	PROPN
ejpam-3519	502	5	statistical	statistical	PROPN
ejpam-3519	502	6	association	association	PROPN
ejpam-3519	502	7	,	,	PUNCT
ejpam-3519	502	8	53(282):457–481	53(282):457–481	PROPN
ejpam-3519	502	9	,	,	PUNCT
ejpam-3519	502	10	1958	1958	NUM
ejpam-3519	502	11	.	.	PUNCT
ejpam-3519	503	1	[	[	X
ejpam-3519	503	2	7	7	X
ejpam-3519	503	3	]	]	X
ejpam-3519	503	4	john	john	PROPN
ejpam-3519	503	5	p	p	PROPN
ejpam-3519	503	6	klein	klein	PROPN
ejpam-3519	503	7	and	and	CCONJ
ejpam-3519	503	8	melvin	melvin	PROPN
ejpam-3519	503	9	l	l	PROPN
ejpam-3519	503	10	moeschberger	moeschberger	PROPN
ejpam-3519	503	11	.	.	PUNCT
ejpam-3519	504	1	semiparametric	semiparametric	VERB
ejpam-3519	504	2	proportional	proportional	ADJ
ejpam-3519	504	3	hazards	hazard	NOUN
ejpam-3519	504	4	regression	regression	NOUN
ejpam-3519	504	5	with	with	ADP
ejpam-3519	504	6	fixed	fix	VERB
ejpam-3519	504	7	covariates	covariate	NOUN
ejpam-3519	504	8	.	.	PUNCT
ejpam-3519	505	1	survival	survival	NOUN
ejpam-3519	505	2	analysis	analysis	NOUN
ejpam-3519	505	3	:	:	PUNCT
ejpam-3519	505	4	techniques	technique	NOUN
ejpam-3519	505	5	for	for	ADP
ejpam-3519	505	6	censored	censor	VERB
ejpam-3519	505	7	and	and	CCONJ
ejpam-3519	505	8	truncated	truncated	ADJ
ejpam-3519	505	9	data	datum	NOUN
ejpam-3519	505	10	,	,	PUNCT
ejpam-3519	505	11	pages	page	NOUN
ejpam-3519	505	12	243–293	243–293	NUM
ejpam-3519	505	13	,	,	PUNCT
ejpam-3519	505	14	2003	2003	NUM
ejpam-3519	505	15	.	.	PUNCT
ejpam-3519	506	1	[	[	X
ejpam-3519	506	2	8	8	X
ejpam-3519	506	3	]	]	X
ejpam-3519	506	4	john	john	PROPN
ejpam-3519	506	5	p	p	PROPN
ejpam-3519	506	6	klein	klein	PROPN
ejpam-3519	506	7	and	and	CCONJ
ejpam-3519	506	8	melvin	melvin	PROPN
ejpam-3519	506	9	l	l	PROPN
ejpam-3519	506	10	moeschberger	moeschberger	PROPN
ejpam-3519	506	11	.	.	PUNCT
ejpam-3519	507	1	survival	survival	NOUN
ejpam-3519	507	2	analysis	analysis	NOUN
ejpam-3519	507	3	:	:	PUNCT
ejpam-3519	507	4	techniques	technique	NOUN
ejpam-3519	507	5	for	for	ADP
ejpam-3519	507	6	censored	censor	VERB
ejpam-3519	507	7	and	and	CCONJ
ejpam-3519	507	8	truncated	truncated	ADJ
ejpam-3519	507	9	data	datum	NOUN
ejpam-3519	507	10	.	.	PUNCT
ejpam-3519	508	1	springer	springer	PROPN
ejpam-3519	508	2	science	science	PROPN
ejpam-3519	508	3	&	&	CCONJ
ejpam-3519	508	4	business	business	NOUN
ejpam-3519	508	5	media	medium	NOUN
ejpam-3519	508	6	,	,	PUNCT
ejpam-3519	508	7	2006	2006	NUM
ejpam-3519	508	8	.	.	PUNCT
ejpam-3519	509	1	[	[	X
ejpam-3519	509	2	9	9	NUM
ejpam-3519	509	3	]	]	X
ejpam-3519	509	4	jean	jean	PROPN
ejpam-3519	509	5	-	-	PUNCT
ejpam-3519	509	6	pierre	pierre	PROPN
ejpam-3519	509	7	lecoutre	lecoutre	NOUN
ejpam-3519	509	8	.	.	PUNCT
ejpam-3519	510	1	contribution	contribution	NOUN
ejpam-3519	510	2	à	à	PROPN
ejpam-3519	510	3	l’estimation	l’estimation	PROPN
ejpam-3519	510	4	non	non	PRON
ejpam-3519	510	5	paramétrique	paramétrique	PROPN
ejpam-3519	510	6	de	de	X
ejpam-3519	510	7	la	la	PROPN
ejpam-3519	510	8	régression	régression	PROPN
ejpam-3519	510	9	.	.	PUNCT
ejpam-3519	511	1	phd	phd	NOUN
ejpam-3519	511	2	thesis	thesis	NOUN
ejpam-3519	511	3	,	,	PUNCT
ejpam-3519	511	4	1982	1982	NUM
ejpam-3519	511	5	.	.	PUNCT
ejpam-3519	512	1	[	[	X
ejpam-3519	512	2	10	10	NUM
ejpam-3519	512	3	]	]	PUNCT
ejpam-3519	512	4	jan	jan	PROPN
ejpam-3519	512	5	mielniczuk	mielniczuk	PROPN
ejpam-3519	512	6	et	et	PROPN
ejpam-3519	512	7	al	al	PROPN
ejpam-3519	512	8	.	.	PUNCT
ejpam-3519	513	1	some	some	DET
ejpam-3519	513	2	asymptotic	asymptotic	ADJ
ejpam-3519	513	3	properties	property	NOUN
ejpam-3519	513	4	of	of	ADP
ejpam-3519	513	5	kernel	kernel	NOUN
ejpam-3519	513	6	estimators	estimator	NOUN
ejpam-3519	513	7	of	of	ADP
ejpam-3519	513	8	a	a	DET
ejpam-3519	513	9	density	density	NOUN
ejpam-3519	513	10	function	function	NOUN
ejpam-3519	513	11	in	in	ADP
ejpam-3519	513	12	case	case	NOUN
ejpam-3519	513	13	of	of	ADP
ejpam-3519	513	14	censored	censored	ADJ
ejpam-3519	513	15	data	datum	NOUN
ejpam-3519	513	16	.	.	PUNCT
ejpam-3519	514	1	the	the	DET
ejpam-3519	514	2	annals	annal	NOUN
ejpam-3519	514	3	of	of	ADP
ejpam-3519	514	4	statistics	statistic	NOUN
ejpam-3519	514	5	,	,	PUNCT
ejpam-3519	514	6	14(2):766–773	14(2):766–773	PROPN
ejpam-3519	514	7	,	,	PUNCT
ejpam-3519	514	8	1986	1986	NUM
ejpam-3519	514	9	.	.	PUNCT
ejpam-3519	515	1	[	[	X
ejpam-3519	515	2	11	11	NUM
ejpam-3519	515	3	]	]	X
ejpam-3519	515	4	elizbar	elizbar	NOUN
ejpam-3519	515	5	a	a	DET
ejpam-3519	515	6	nadaraya	nadaraya	NOUN
ejpam-3519	515	7	.	.	PUNCT
ejpam-3519	516	1	on	on	ADP
ejpam-3519	516	2	estimating	estimate	VERB
ejpam-3519	516	3	regression	regression	NOUN
ejpam-3519	516	4	.	.	PUNCT
ejpam-3519	517	1	theory	theory	NOUN
ejpam-3519	517	2	of	of	ADP
ejpam-3519	517	3	probability	probability	NOUN
ejpam-3519	517	4	&	&	CCONJ
ejpam-3519	517	5	its	its	PRON
ejpam-3519	517	6	applications	application	NOUN
ejpam-3519	517	7	,	,	PUNCT
ejpam-3519	517	8	9(1):141–142	9(1):141–142	NUM
ejpam-3519	517	9	,	,	PUNCT
ejpam-3519	517	10	1964	1964	NUM
ejpam-3519	517	11	.	.	PUNCT
ejpam-3519	518	1	[	[	X
ejpam-3519	518	2	12	12	NUM
ejpam-3519	518	3	]	]	X
ejpam-3519	518	4	wayne	wayne	PROPN
ejpam-3519	518	5	nelson	nelson	PROPN
ejpam-3519	518	6	.	.	PUNCT
ejpam-3519	519	1	theory	theory	NOUN
ejpam-3519	519	2	and	and	CCONJ
ejpam-3519	519	3	applications	application	NOUN
ejpam-3519	519	4	of	of	ADP
ejpam-3519	519	5	hazard	hazard	NOUN
ejpam-3519	519	6	plotting	plot	VERB
ejpam-3519	519	7	for	for	ADP
ejpam-3519	519	8	censored	censored	ADJ
ejpam-3519	519	9	failure	failure	NOUN
ejpam-3519	519	10	data	datum	NOUN
ejpam-3519	519	11	.	.	PUNCT
ejpam-3519	520	1	technometrics	technometric	NOUN
ejpam-3519	520	2	,	,	PUNCT
ejpam-3519	520	3	14(4):945–966	14(4):945–966	NUM
ejpam-3519	520	4	,	,	PUNCT
ejpam-3519	520	5	1972	1972	NUM
ejpam-3519	520	6	.	.	PUNCT
ejpam-3519	521	1	[	[	X
ejpam-3519	521	2	13	13	NUM
ejpam-3519	521	3	]	]	PUNCT
ejpam-3519	521	4	didier	didier	PROPN
ejpam-3519	521	5	alain	alain	PROPN
ejpam-3519	521	6	njamen	njamen	PROPN
ejpam-3519	521	7	-	-	PUNCT
ejpam-3519	521	8	njomen	njoman	NOUN
ejpam-3519	521	9	and	and	CCONJ
ejpam-3519	521	10	joseph	joseph	PROPN
ejpam-3519	521	11	ngatchou	ngatchou	PROPN
ejpam-3519	521	12	-	-	PUNCT
ejpam-3519	521	13	wandji	wandji	PROPN
ejpam-3519	521	14	.	.	PUNCT
ejpam-3519	522	1	nelson	nelson	PROPN
ejpam-3519	522	2	-	-	PUNCT
ejpam-3519	522	3	aalen	aalen	VERB
ejpam-3519	522	4	and	and	CCONJ
ejpam-3519	522	5	kaplanmeier	kaplanmei	ADJ
ejpam-3519	522	6	estimators	estimator	NOUN
ejpam-3519	522	7	in	in	ADP
ejpam-3519	522	8	competing	compete	VERB
ejpam-3519	522	9	risks	risk	NOUN
ejpam-3519	522	10	.	.	PUNCT
ejpam-3519	523	1	applied	apply	VERB
ejpam-3519	523	2	mathematics	mathematic	NOUN
ejpam-3519	523	3	,	,	PUNCT
ejpam-3519	523	4	5(04):765	5(04):765	PROPN
ejpam-3519	523	5	,	,	PUNCT
ejpam-3519	523	6	2014	2014	NUM
ejpam-3519	523	7	.	.	PUNCT
ejpam-3519	524	1	[	[	X
ejpam-3519	524	2	14	14	NUM
ejpam-3519	524	3	]	]	SYM
ejpam-3519	524	4	da	da	NOUN
ejpam-3519	524	5	njamen	njaman	NOUN
ejpam-3519	524	6	njomen	njoman	NOUN
ejpam-3519	524	7	.	.	PUNCT
ejpam-3519	525	1	convergence	convergence	NOUN
ejpam-3519	525	2	of	of	ADP
ejpam-3519	525	3	the	the	DET
ejpam-3519	525	4	nelson	nelson	PROPN
ejpam-3519	525	5	-	-	PUNCT
ejpam-3519	525	6	aalen	aalen	VERB
ejpam-3519	525	7	estimator	estimator	NOUN
ejpam-3519	525	8	in	in	ADP
ejpam-3519	525	9	competing	compete	VERB
ejpam-3519	525	10	risks	risk	NOUN
ejpam-3519	525	11	.	.	PUNCT
ejpam-3519	526	1	international	international	ADJ
ejpam-3519	526	2	journal	journal	PROPN
ejpam-3519	526	3	of	of	ADP
ejpam-3519	526	4	statistics	statistic	NOUN
ejpam-3519	526	5	and	and	CCONJ
ejpam-3519	526	6	probability	probability	NOUN
ejpam-3519	526	7	,	,	PUNCT
ejpam-3519	526	8	6(3):9–23	6(3):9–23	PROPN
ejpam-3519	526	9	,	,	PUNCT
ejpam-3519	526	10	2017	2017	NUM
ejpam-3519	526	11	.	.	PUNCT
ejpam-3519	527	1	[	[	X
ejpam-3519	527	2	15	15	NUM
ejpam-3519	527	3	]	]	X
ejpam-3519	527	4	didier	didier	PROPN
ejpam-3519	527	5	alain	alain	PROPN
ejpam-3519	527	6	njamen	njamen	PROPN
ejpam-3519	527	7	njomen	njoman	NOUN
ejpam-3519	527	8	and	and	CCONJ
ejpam-3519	527	9	joseph	joseph	PROPN
ejpam-3519	527	10	wandji	wandji	PROPN
ejpam-3519	527	11	ngatchou	ngatchou	PROPN
ejpam-3519	527	12	.	.	PUNCT
ejpam-3519	528	1	consistency	consistency	NOUN
ejpam-3519	528	2	of	of	ADP
ejpam-3519	528	3	the	the	DET
ejpam-3519	528	4	kaplan	kaplan	PROPN
ejpam-3519	528	5	-	-	PUNCT
ejpam-3519	528	6	meier	meier	PROPN
ejpam-3519	528	7	estimator	estimator	NOUN
ejpam-3519	528	8	of	of	ADP
ejpam-3519	528	9	the	the	DET
ejpam-3519	528	10	survival	survival	NOUN
ejpam-3519	528	11	function	function	NOUN
ejpam-3519	528	12	in	in	ADP
ejpam-3519	528	13	competiting	competiting	NOUN
ejpam-3519	528	14	risks	risk	NOUN
ejpam-3519	528	15	.	.	PUNCT
ejpam-3519	529	1	the	the	DET
ejpam-3519	529	2	open	open	ADJ
ejpam-3519	529	3	statistics	statistic	NOUN
ejpam-3519	529	4	&	&	CCONJ
ejpam-3519	529	5	probability	probability	PROPN
ejpam-3519	529	6	journal	journal	NOUN
ejpam-3519	529	7	,	,	PUNCT
ejpam-3519	529	8	9(1	9(1	NUM
ejpam-3519	529	9	)	)	PUNCT
ejpam-3519	529	10	,	,	PUNCT
ejpam-3519	529	11	2018	2018	NUM
ejpam-3519	529	12	.	.	PUNCT
ejpam-3519	530	1	[	[	X
ejpam-3519	530	2	16	16	NUM
ejpam-3519	530	3	]	]	X
ejpam-3519	530	4	didier	didier	PROPN
ejpam-3519	530	5	alain	alain	PROPN
ejpam-3519	530	6	njamen	njamen	PROPN
ejpam-3519	530	7	njomen	njoman	NOUN
ejpam-3519	530	8	and	and	CCONJ
ejpam-3519	530	9	ludovic	ludovic	PROPN
ejpam-3519	530	10	kakmeni	kakmeni	PROPN
ejpam-3519	530	11	siewe	siewe	PROPN
ejpam-3519	530	12	.	.	PUNCT
ejpam-3519	531	1	a	a	DET
ejpam-3519	531	2	study	study	NOUN
ejpam-3519	531	3	of	of	ADP
ejpam-3519	531	4	the	the	DET
ejpam-3519	531	5	ability	ability	NOUN
ejpam-3519	531	6	of	of	ADP
ejpam-3519	531	7	the	the	DET
ejpam-3519	531	8	kernel	kernel	PROPN
ejpam-3519	531	9	estimator	estimator	NOUN
ejpam-3519	531	10	of	of	ADP
ejpam-3519	531	11	the	the	DET
ejpam-3519	531	12	density	density	NOUN
ejpam-3519	531	13	function	function	NOUN
ejpam-3519	531	14	for	for	ADP
ejpam-3519	531	15	triangular	triangular	NOUN
ejpam-3519	531	16	and	and	CCONJ
ejpam-3519	531	17	epanechnikov	epanechnikov	PROPN
ejpam-3519	531	18	kernel	kernel	PROPN
ejpam-3519	531	19	or	or	CCONJ
ejpam-3519	531	20	parabolic	parabolic	ADJ
ejpam-3519	531	21	kernel	kernel	NOUN
ejpam-3519	531	22	.	.	PUNCT
ejpam-3519	532	1	international	international	ADJ
ejpam-3519	532	2	journal	journal	PROPN
ejpam-3519	532	3	of	of	ADP
ejpam-3519	532	4	statistics	statistic	NOUN
ejpam-3519	532	5	and	and	CCONJ
ejpam-3519	532	6	applications	application	NOUN
ejpam-3519	532	7	,	,	PUNCT
ejpam-3519	532	8	9(2):45–52	9(2):45–52	NUM
ejpam-3519	532	9	,	,	PUNCT
ejpam-3519	532	10	2019	2019	NUM
ejpam-3519	532	11	.	.	PUNCT
ejpam-3519	533	1	[	[	X
ejpam-3519	533	2	17	17	NUM
ejpam-3519	533	3	]	]	X
ejpam-3519	533	4	emanuel	emanuel	PROPN
ejpam-3519	533	5	parzen	parzen	PROPN
ejpam-3519	533	6	.	.	PUNCT
ejpam-3519	534	1	on	on	ADP
ejpam-3519	534	2	estimation	estimation	NOUN
ejpam-3519	534	3	of	of	ADP
ejpam-3519	534	4	a	a	DET
ejpam-3519	534	5	probability	probability	NOUN
ejpam-3519	534	6	density	density	NOUN
ejpam-3519	534	7	function	function	NOUN
ejpam-3519	534	8	and	and	CCONJ
ejpam-3519	534	9	mode	mode	NOUN
ejpam-3519	534	10	.	.	PUNCT
ejpam-3519	535	1	the	the	DET
ejpam-3519	535	2	annals	annal	NOUN
ejpam-3519	535	3	of	of	ADP
ejpam-3519	535	4	mathematical	mathematical	ADJ
ejpam-3519	535	5	statistics	statistic	NOUN
ejpam-3519	535	6	,	,	PUNCT
ejpam-3519	535	7	33(3):1065–1076	33(3):1065–1076	NUM
ejpam-3519	535	8	,	,	PUNCT
ejpam-3519	535	9	1962	1962	NUM
ejpam-3519	535	10	.	.	PUNCT
ejpam-3519	536	1	[	[	X
ejpam-3519	536	2	18	18	NUM
ejpam-3519	536	3	]	]	X
ejpam-3519	536	4	henrik	henrik	PROPN
ejpam-3519	536	5	ramlau	ramlau	PROPN
ejpam-3519	536	6	-	-	PUNCT
ejpam-3519	536	7	hansen	hansen	PROPN
ejpam-3519	536	8	.	.	PROPN
ejpam-3519	536	9	smoothing	smooth	VERB
ejpam-3519	536	10	counting	counting	NOUN
ejpam-3519	536	11	process	process	NOUN
ejpam-3519	536	12	intensities	intensity	NOUN
ejpam-3519	536	13	by	by	ADP
ejpam-3519	536	14	means	mean	NOUN
ejpam-3519	536	15	of	of	ADP
ejpam-3519	536	16	kernel	kernel	NOUN
ejpam-3519	536	17	functions	function	NOUN
ejpam-3519	536	18	.	.	PUNCT
ejpam-3519	537	1	the	the	DET
ejpam-3519	537	2	annals	annal	NOUN
ejpam-3519	537	3	of	of	ADP
ejpam-3519	537	4	statistics	statistic	NOUN
ejpam-3519	537	5	,	,	PUNCT
ejpam-3519	537	6	pages	page	NOUN
ejpam-3519	537	7	453–466	453–466	NUM
ejpam-3519	537	8	,	,	PUNCT
ejpam-3519	537	9	1983	1983	NUM
ejpam-3519	537	10	.	.	PUNCT
ejpam-3519	538	1	[	[	X
ejpam-3519	538	2	19	19	NUM
ejpam-3519	538	3	]	]	X
ejpam-3519	538	4	murray	murray	PROPN
ejpam-3519	538	5	rosenblatt	rosenblatt	PROPN
ejpam-3519	538	6	.	.	PUNCT
ejpam-3519	539	1	remarks	remark	NOUN
ejpam-3519	539	2	on	on	ADP
ejpam-3519	539	3	some	some	DET
ejpam-3519	539	4	nonparametric	nonparametric	ADJ
ejpam-3519	539	5	estimates	estimate	NOUN
ejpam-3519	539	6	of	of	ADP
ejpam-3519	539	7	a	a	DET
ejpam-3519	539	8	density	density	NOUN
ejpam-3519	539	9	function	function	NOUN
ejpam-3519	539	10	.	.	PUNCT
ejpam-3519	540	1	the	the	DET
ejpam-3519	540	2	annals	annal	NOUN
ejpam-3519	540	3	of	of	ADP
ejpam-3519	540	4	mathematical	mathematical	ADJ
ejpam-3519	540	5	statistics	statistic	NOUN
ejpam-3519	540	6	,	,	PUNCT
ejpam-3519	540	7	pages	page	NOUN
ejpam-3519	540	8	832–837	832–837	NUM
ejpam-3519	540	9	,	,	PUNCT
ejpam-3519	540	10	1956	1956	NUM
ejpam-3519	540	11	.	.	PUNCT
ejpam-3519	541	1	[	[	X
ejpam-3519	541	2	20	20	NUM
ejpam-3519	541	3	]	]	X
ejpam-3519	541	4	bernard	bernard	PROPN
ejpam-3519	541	5	w	w	PROPN
ejpam-3519	541	6	silverman	silverman	PROPN
ejpam-3519	541	7	.	.	PUNCT
ejpam-3519	542	1	density	density	NOUN
ejpam-3519	542	2	estimation	estimation	NOUN
ejpam-3519	542	3	for	for	ADP
ejpam-3519	542	4	statistics	statistic	NOUN
ejpam-3519	542	5	and	and	CCONJ
ejpam-3519	542	6	data	datum	NOUN
ejpam-3519	542	7	analysis	analysis	NOUN
ejpam-3519	542	8	,	,	PUNCT
ejpam-3519	542	9	volume	volume	NOUN
ejpam-3519	542	10	26	26	NUM
ejpam-3519	542	11	.	.	PUNCT
ejpam-3519	543	1	crc	crc	PROPN
ejpam-3519	543	2	press	press	PROPN
ejpam-3519	543	3	,	,	PUNCT
ejpam-3519	543	4	1986	1986	NUM
ejpam-3519	543	5	.	.	PUNCT
ejpam-3519	544	1	references	reference	NOUN
ejpam-3519	544	2	1642	1642	NUM
ejpam-3519	544	3	[	[	X
ejpam-3519	544	4	21	21	NUM
ejpam-3519	544	5	]	]	X
ejpam-3519	544	6	jeffrey	jeffrey	PROPN
ejpam-3519	544	7	s	s	PART
ejpam-3519	544	8	simonoff	simonoff	NOUN
ejpam-3519	544	9	.	.	PUNCT
ejpam-3519	545	1	smoothing	smooth	VERB
ejpam-3519	545	2	methods	method	NOUN
ejpam-3519	545	3	in	in	ADP
ejpam-3519	545	4	statistics	statistic	NOUN
ejpam-3519	545	5	.	.	PUNCT
ejpam-3519	546	1	springer	springer	NOUN
ejpam-3519	546	2	science	science	PROPN
ejpam-3519	546	3	&	&	CCONJ
ejpam-3519	546	4	business	business	NOUN
ejpam-3519	546	5	media	medium	NOUN
ejpam-3519	546	6	,	,	PUNCT
ejpam-3519	546	7	1996	1996	NUM
ejpam-3519	546	8	.	.	PUNCT
ejpam-3519	547	1	[	[	X
ejpam-3519	547	2	22	22	NUM
ejpam-3519	547	3	]	]	X
ejpam-3519	547	4	martin	martin	PROPN
ejpam-3519	547	5	a	a	DET
ejpam-3519	547	6	tanner	tanner	NOUN
ejpam-3519	547	7	and	and	CCONJ
ejpam-3519	547	8	wing	wing	NOUN
ejpam-3519	547	9	hung	hung	PROPN
ejpam-3519	547	10	wong	wong	PROPN
ejpam-3519	547	11	.	.	PUNCT
ejpam-3519	548	1	the	the	DET
ejpam-3519	548	2	estimation	estimation	NOUN
ejpam-3519	548	3	of	of	ADP
ejpam-3519	548	4	the	the	DET
ejpam-3519	548	5	hazard	hazard	NOUN
ejpam-3519	548	6	function	function	NOUN
ejpam-3519	548	7	from	from	ADP
ejpam-3519	548	8	randomly	randomly	ADV
ejpam-3519	548	9	censored	censor	VERB
ejpam-3519	548	10	data	datum	NOUN
ejpam-3519	548	11	by	by	ADP
ejpam-3519	548	12	the	the	DET
ejpam-3519	548	13	kernel	kernel	PROPN
ejpam-3519	548	14	method	method	NOUN
ejpam-3519	548	15	.	.	PUNCT
ejpam-3519	549	1	the	the	DET
ejpam-3519	549	2	annals	annal	NOUN
ejpam-3519	549	3	of	of	ADP
ejpam-3519	549	4	statistics	statistic	NOUN
ejpam-3519	549	5	,	,	PUNCT
ejpam-3519	549	6	pages	page	NOUN
ejpam-3519	549	7	989–993	989–993	NUM
ejpam-3519	549	8	,	,	PUNCT
ejpam-3519	549	9	1983	1983	NUM
ejpam-3519	549	10	.	.	PUNCT
ejpam-3519	550	1	[	[	X
ejpam-3519	550	2	23	23	NUM
ejpam-3519	550	3	]	]	X
ejpam-3519	550	4	alexandre	alexandre	PROPN
ejpam-3519	550	5	b	b	PROPN
ejpam-3519	550	6	tsybakov	tsybakov	PROPN
ejpam-3519	550	7	.	.	PUNCT
ejpam-3519	551	1	introduction	introduction	NOUN
ejpam-3519	551	2	to	to	ADP
ejpam-3519	551	3	nonparametric	nonparametric	NOUN
ejpam-3519	551	4	estimation	estimation	NOUN
ejpam-3519	551	5	,	,	PUNCT
ejpam-3519	551	6	2009	2009	NUM
ejpam-3519	551	7	.	.	PUNCT
ejpam-3519	552	1	url	url	X
ejpam-3519	553	1	https://doi	https://doi	PROPN
ejpam-3519	553	2	.	.	PUNCT
ejpam-3519	553	3	org/10.1007	org/10.1007	PROPN
ejpam-3519	553	4	/	/	SYM
ejpam-3519	553	5	b13794	b13794	NOUN
ejpam-3519	553	6	.	.	PUNCT
ejpam-3519	554	1	revised	revise	VERB
ejpam-3519	554	2	and	and	CCONJ
ejpam-3519	554	3	extended	extend	VERB
ejpam-3519	554	4	from	from	ADP
ejpam-3519	554	5	the	the	DET
ejpam-3519	554	6	,	,	PUNCT
ejpam-3519	554	7	2004	2004	NUM
ejpam-3519	554	8	.	.	PUNCT
ejpam-3519	555	1	[	[	X
ejpam-3519	555	2	24	24	NUM
ejpam-3519	555	3	]	]	X
ejpam-3519	555	4	geoffrey	geoffrey	PROPN
ejpam-3519	555	5	s	s	PROPN
ejpam-3519	555	6	watson	watson	PROPN
ejpam-3519	555	7	.	.	PUNCT
ejpam-3519	556	1	smooth	smooth	ADJ
ejpam-3519	556	2	regression	regression	NOUN
ejpam-3519	556	3	analysis	analysis	NOUN
ejpam-3519	556	4	.	.	PUNCT
ejpam-3519	557	1	sankhyā	sankhyā	NOUN
ejpam-3519	557	2	:	:	PUNCT
ejpam-3519	557	3	the	the	DET
ejpam-3519	557	4	indian	indian	PROPN
ejpam-3519	557	5	journal	journal	PROPN
ejpam-3519	557	6	of	of	ADP
ejpam-3519	557	7	statistics	statistic	NOUN
ejpam-3519	557	8	,	,	PUNCT
ejpam-3519	557	9	series	series	PROPN
ejpam-3519	557	10	a	a	NOUN
ejpam-3519	557	11	,	,	PUNCT
ejpam-3519	557	12	pages	page	NOUN
ejpam-3519	557	13	359–372	359–372	NUM
ejpam-3519	557	14	,	,	PUNCT
ejpam-3519	557	15	1964	1964	NUM
ejpam-3519	557	16	.	.	PUNCT
ejpam-3519	558	1	[	[	X
ejpam-3519	558	2	25	25	NUM
ejpam-3519	558	3	]	]	X
ejpam-3519	558	4	gs	gs	PROPN
ejpam-3519	558	5	watson	watson	PROPN
ejpam-3519	558	6	and	and	CCONJ
ejpam-3519	558	7	mr	mr	PROPN
ejpam-3519	558	8	leadbetter	leadbetter	PROPN
ejpam-3519	558	9	.	.	PUNCT
ejpam-3519	559	1	hazard	hazard	NOUN
ejpam-3519	559	2	analysis	analysis	NOUN
ejpam-3519	559	3	.	.	PUNCT
ejpam-3519	560	1	i.	i.	PROPN
ejpam-3519	560	2	biometrika	biometrika	PROPN
ejpam-3519	560	3	,	,	PUNCT
ejpam-3519	560	4	51(1/2):175–184	51(1/2):175–184	NUM
ejpam-3519	560	5	,	,	PUNCT
ejpam-3519	560	6	1964	1964	NUM
ejpam-3519	560	7	.	.	PUNCT
ejpam-3519	561	1	[	[	X
ejpam-3519	561	2	26	26	NUM
ejpam-3519	561	3	]	]	X
ejpam-3519	561	4	biao	biao	PROPN
ejpam-3519	561	5	zhang	zhang	PROPN
ejpam-3519	561	6	.	.	PUNCT
ejpam-3519	562	1	some	some	DET
ejpam-3519	562	2	asymptotic	asymptotic	ADJ
ejpam-3519	562	3	results	result	NOUN
ejpam-3519	562	4	for	for	ADP
ejpam-3519	562	5	kernel	kernel	PROPN
ejpam-3519	562	6	density	density	NOUN
ejpam-3519	562	7	estimation	estimation	NOUN
ejpam-3519	562	8	under	under	ADP
ejpam-3519	562	9	random	random	ADJ
ejpam-3519	562	10	censorship	censorship	NOUN
ejpam-3519	562	11	.	.	PUNCT
ejpam-3519	563	1	bernoulli	bernoulli	PROPN
ejpam-3519	563	2	,	,	PUNCT
ejpam-3519	563	3	pages	page	NOUN
ejpam-3519	563	4	183–198	183–198	NUM
ejpam-3519	563	5	,	,	PUNCT
ejpam-3519	563	6	1996	1996	NUM
ejpam-3519	563	7	.	.	PUNCT