id	sid	tid	token	lemma	pos
cet-6262	1	1	untitled	untitle	VERB
cet-6262	1	2	a	a	DET
cet-6262	1	3	publication	publication	NOUN
cet-6262	1	4	of	of	ADP
cet-6262	1	5	cchheemmiiccaall	cchheemmiiccaall	NOUN
cet-6262	1	6	eennggiinneeeerriinngg	eennggiinneeeerriinngg	VERB
cet-6262	1	7	ttrraannssaaccttiioonnss	ttrraannssaaccttiioonns	NOUN
cet-6262	1	8	vol	vol	NOUN
cet-6262	1	9	.	.	PROPN
cet-6262	2	1	33	33	NUM
cet-6262	2	2	,	,	PUNCT
cet-6262	2	3	2013	2013	NUM
cet-6262	2	4	the	the	DET
cet-6262	2	5	italian	italian	ADJ
cet-6262	2	6	association	association	NOUN
cet-6262	2	7	of	of	ADP
cet-6262	2	8	chemical	chemical	PROPN
cet-6262	2	9	engineering	engineering	NOUN
cet-6262	2	10	online	online	ADV
cet-6262	2	11	at	at	ADP
cet-6262	2	12	:	:	PUNCT
cet-6262	2	13	www.aidic.it/cet	www.aidic.it/cet	PROPN
cet-6262	2	14	guest	guest	NOUN
cet-6262	2	15	editors	editor	NOUN
cet-6262	2	16	:	:	PUNCT
cet-6262	2	17	enrico	enrico	PROPN
cet-6262	2	18	zio	zio	PROPN
cet-6262	2	19	,	,	PUNCT
cet-6262	2	20	piero	piero	PROPN
cet-6262	2	21	baraldi	baraldi	PROPN
cet-6262	2	22	copyright	copyright	NOUN
cet-6262	2	23	©	©	PROPN
cet-6262	2	24	2013	2013	NUM
cet-6262	2	25	,	,	PUNCT
cet-6262	2	26	aidic	aidic	ADJ
cet-6262	2	27	servizi	servizi	PROPN
cet-6262	2	28	s.r.l	s.r.l	NOUN
cet-6262	2	29	.	.	PUNCT
cet-6262	2	30	,	,	PUNCT
cet-6262	2	31	isbn	isbn	PROPN
cet-6262	2	32	978	978	NUM
cet-6262	2	33	-	-	SYM
cet-6262	2	34	88	88	NUM
cet-6262	2	35	-	-	PUNCT
cet-6262	2	36	95608	95608	NUM
cet-6262	2	37	-	-	PUNCT
cet-6262	2	38	24	24	NUM
cet-6262	2	39	-	-	SYM
cet-6262	2	40	2	2	NUM
cet-6262	2	41	;	;	PUNCT
cet-6262	2	42	issn	issn	PROPN
cet-6262	2	43	1974	1974	NUM
cet-6262	2	44	-	-	SYM
cet-6262	2	45	9791	9791	NUM
cet-6262	2	46	residual	residual	ADJ
cet-6262	2	47	useful	useful	ADJ
cet-6262	2	48	life	life	NOUN
cet-6262	2	49	estimation	estimation	NOUN
cet-6262	2	50	based	base	VERB
cet-6262	2	51	on	on	ADP
cet-6262	2	52	a	a	DET
cet-6262	2	53	time	time	NOUN
cet-6262	2	54	-	-	PUNCT
cet-6262	2	55	dependent	dependent	ADJ
cet-6262	2	56	ornstein	ornstein	PROPN
cet-6262	2	57	-	-	PUNCT
cet-6262	2	58	uhlenbeck	uhlenbeck	PROPN
cet-6262	2	59	process	process	NOUN
cet-6262	2	60	yingjun	yingjun	PROPN
cet-6262	2	61	deng	deng	PROPN
cet-6262	2	62	,	,	PUNCT
cet-6262	2	63	anne	anne	PROPN
cet-6262	2	64	barros	barros	PROPN
cet-6262	2	65	,	,	PUNCT
cet-6262	2	66	antoine	antoine	PROPN
cet-6262	2	67	grall	grall	PROPN
cet-6262	2	68	institut	institut	PROPN
cet-6262	2	69	charles	charles	PROPN
cet-6262	2	70	delaunay	delaunay	PROPN
cet-6262	2	71	,	,	PUNCT
cet-6262	2	72	université	université	PROPN
cet-6262	2	73	de	de	PROPN
cet-6262	2	74	technologie	technologie	X
cet-6262	2	75	de	de	X
cet-6262	2	76	troyes	troyes	PROPN
cet-6262	2	77	,	,	PUNCT
cet-6262	2	78	cnrs	cnrs	NOUN
cet-6262	2	79	umr	umr	ADJ
cet-6262	2	80	stmr	stmr	NOUN
cet-6262	2	81	,	,	PUNCT
cet-6262	2	82	12	12	NUM
cet-6262	2	83	rue	rue	PROPN
cet-6262	2	84	marie	marie	PROPN
cet-6262	2	85	curie	curie	PROPN
cet-6262	2	86	,	,	PUNCT
cet-6262	2	87	cs	cs	PROPN
cet-6262	2	88	42060	42060	NUM
cet-6262	2	89	,	,	PUNCT
cet-6262	2	90	10004	10004	NUM
cet-6262	2	91	troyes	troye	NOUN
cet-6262	2	92	cedex	cedex	NOUN
cet-6262	2	93	,	,	PUNCT
cet-6262	2	94	france	france	PROPN
cet-6262	2	95	antoine.grall@utt.fr	antoine.grall@utt.fr	PROPN
cet-6262	2	96	residual	residual	ADJ
cet-6262	2	97	useful	useful	ADJ
cet-6262	2	98	life	life	NOUN
cet-6262	2	99	plays	play	VERB
cet-6262	2	100	a	a	DET
cet-6262	2	101	core	core	ADJ
cet-6262	2	102	role	role	NOUN
cet-6262	2	103	in	in	ADP
cet-6262	2	104	the	the	DET
cet-6262	2	105	field	field	NOUN
cet-6262	2	106	of	of	ADP
cet-6262	2	107	the	the	DET
cet-6262	2	108	prognostics	prognostic	NOUN
cet-6262	2	109	and	and	CCONJ
cet-6262	2	110	health	health	NOUN
cet-6262	2	111	management	management	NOUN
cet-6262	2	112	of	of	ADP
cet-6262	2	113	systems	system	NOUN
cet-6262	2	114	.	.	PUNCT
cet-6262	3	1	for	for	ADP
cet-6262	3	2	deteriorating	deteriorate	VERB
cet-6262	3	3	systems	system	NOUN
cet-6262	3	4	or	or	CCONJ
cet-6262	3	5	devices	device	NOUN
cet-6262	3	6	it	it	PRON
cet-6262	3	7	can	can	AUX
cet-6262	3	8	be	be	AUX
cet-6262	3	9	estimated	estimate	VERB
cet-6262	3	10	by	by	ADP
cet-6262	3	11	establishing	establish	VERB
cet-6262	3	12	a	a	DET
cet-6262	3	13	good	good	ADV
cet-6262	3	14	-	-	PUNCT
cet-6262	3	15	fitting	fit	VERB
cet-6262	3	16	stochastic	stochastic	ADJ
cet-6262	3	17	process	process	NOUN
cet-6262	3	18	model	model	NOUN
cet-6262	3	19	and	and	CCONJ
cet-6262	3	20	solving	solve	VERB
cet-6262	3	21	corresponding	correspond	VERB
cet-6262	3	22	first	first	ADJ
cet-6262	3	23	passage	passage	NOUN
cet-6262	3	24	problem	problem	NOUN
cet-6262	3	25	with	with	ADP
cet-6262	3	26	the	the	DET
cet-6262	3	27	given	give	VERB
cet-6262	3	28	failure	failure	NOUN
cet-6262	3	29	level	level	NOUN
cet-6262	3	30	.	.	PUNCT
cet-6262	4	1	in	in	ADP
cet-6262	4	2	this	this	DET
cet-6262	4	3	paper	paper	NOUN
cet-6262	4	4	,	,	PUNCT
cet-6262	4	5	providing	provide	VERB
cet-6262	4	6	that	that	SCONJ
cet-6262	4	7	the	the	DET
cet-6262	4	8	mean	mean	ADJ
cet-6262	4	9	and	and	CCONJ
cet-6262	4	10	variance	variance	NOUN
cet-6262	4	11	function	function	NOUN
cet-6262	4	12	of	of	ADP
cet-6262	4	13	the	the	DET
cet-6262	4	14	degradation	degradation	NOUN
cet-6262	4	15	process	process	NOUN
cet-6262	4	16	are	be	AUX
cet-6262	4	17	given	give	VERB
cet-6262	4	18	or	or	CCONJ
cet-6262	4	19	obtained	obtain	VERB
cet-6262	4	20	directly	directly	ADV
cet-6262	4	21	from	from	ADP
cet-6262	4	22	observed	observed	ADJ
cet-6262	4	23	data	datum	NOUN
cet-6262	4	24	by	by	ADP
cet-6262	4	25	statistical	statistical	ADJ
cet-6262	4	26	/	/	SYM
cet-6262	4	27	empirical	empirical	ADJ
cet-6262	4	28	techniques	technique	NOUN
cet-6262	4	29	,	,	PUNCT
cet-6262	4	30	we	we	PRON
cet-6262	4	31	propose	propose	VERB
cet-6262	4	32	a	a	DET
cet-6262	4	33	time	time	NOUN
cet-6262	4	34	-	-	PUNCT
cet-6262	4	35	dependent	dependent	ADJ
cet-6262	4	36	ornstein	ornstein	PROPN
cet-6262	4	37	-	-	PUNCT
cet-6262	4	38	uhlenbeck	uhlenbeck	PROPN
cet-6262	4	39	process	process	NOUN
cet-6262	4	40	whose	whose	DET
cet-6262	4	41	mean	mean	NOUN
cet-6262	4	42	and	and	CCONJ
cet-6262	4	43	variance	variance	NOUN
cet-6262	4	44	are	be	AUX
cet-6262	4	45	equal	equal	ADJ
cet-6262	4	46	to	to	ADP
cet-6262	4	47	the	the	DET
cet-6262	4	48	given	give	VERB
cet-6262	4	49	mean	mean	NOUN
cet-6262	4	50	and	and	CCONJ
cet-6262	4	51	variance	variance	NOUN
cet-6262	4	52	respectively	respectively	ADV
cet-6262	4	53	.	.	PUNCT
cet-6262	5	1	based	base	VERB
cet-6262	5	2	on	on	ADP
cet-6262	5	3	this	this	DET
cet-6262	5	4	diffusion	diffusion	NOUN
cet-6262	5	5	process	process	NOUN
cet-6262	5	6	,	,	PUNCT
cet-6262	5	7	when	when	SCONJ
cet-6262	5	8	a	a	DET
cet-6262	5	9	failure	failure	NOUN
cet-6262	5	10	level	level	NOUN
cet-6262	5	11	is	be	AUX
cet-6262	5	12	considered	consider	VERB
cet-6262	5	13	,	,	PUNCT
cet-6262	5	14	the	the	DET
cet-6262	5	15	first	first	ADJ
cet-6262	5	16	passage	passage	NOUN
cet-6262	5	17	failure	failure	NOUN
cet-6262	5	18	distribution	distribution	NOUN
cet-6262	5	19	can	can	AUX
cet-6262	5	20	be	be	AUX
cet-6262	5	21	solved	solve	VERB
cet-6262	5	22	by	by	ADP
cet-6262	5	23	a	a	DET
cet-6262	5	24	volterra	volterra	NOUN
cet-6262	5	25	integral	integral	ADJ
cet-6262	5	26	equation	equation	NOUN
cet-6262	5	27	of	of	ADP
cet-6262	5	28	second	second	ADJ
cet-6262	5	29	class	class	NOUN
cet-6262	5	30	.	.	PUNCT
cet-6262	6	1	furthermore	furthermore	ADV
cet-6262	6	2	,	,	PUNCT
cet-6262	6	3	with	with	ADP
cet-6262	6	4	the	the	DET
cet-6262	6	5	help	help	NOUN
cet-6262	6	6	of	of	ADP
cet-6262	6	7	numerical	numerical	ADJ
cet-6262	6	8	methods	method	NOUN
cet-6262	6	9	,	,	PUNCT
cet-6262	6	10	the	the	DET
cet-6262	6	11	residual	residual	ADJ
cet-6262	6	12	useful	useful	ADJ
cet-6262	6	13	life	life	NOUN
cet-6262	6	14	estimation	estimation	NOUN
cet-6262	6	15	is	be	AUX
cet-6262	6	16	considered	consider	VERB
cet-6262	6	17	for	for	ADP
cet-6262	6	18	a	a	DET
cet-6262	6	19	real	real	ADJ
cet-6262	6	20	case	case	NOUN
cet-6262	6	21	.	.	PUNCT
cet-6262	7	1	1	1	X
cet-6262	7	2	.	.	X
cet-6262	7	3	introduction	introduction	NOUN
cet-6262	7	4	estimating	estimate	VERB
cet-6262	7	5	the	the	DET
cet-6262	7	6	residual	residual	ADJ
cet-6262	7	7	useful	useful	ADJ
cet-6262	7	8	life	life	NOUN
cet-6262	7	9	(	(	PUNCT
cet-6262	7	10	rul	rul	NOUN
cet-6262	7	11	)	)	PUNCT
cet-6262	7	12	from	from	ADP
cet-6262	7	13	degradation	degradation	NOUN
cet-6262	7	14	records	record	NOUN
cet-6262	7	15	is	be	AUX
cet-6262	7	16	a	a	DET
cet-6262	7	17	core	core	NOUN
cet-6262	7	18	issue	issue	NOUN
cet-6262	7	19	in	in	ADP
cet-6262	7	20	many	many	ADJ
cet-6262	7	21	fields	field	NOUN
cet-6262	7	22	,	,	PUNCT
cet-6262	7	23	e.g.	e.g.	ADV
cet-6262	7	24	nuclear	nuclear	ADJ
cet-6262	7	25	plant	plant	NOUN
cet-6262	7	26	,	,	PUNCT
cet-6262	7	27	aeronautical	aeronautical	NOUN
cet-6262	7	28	industry	industry	NOUN
cet-6262	7	29	,	,	PUNCT
cet-6262	7	30	mechanical	mechanical	ADJ
cet-6262	7	31	engineering	engineering	NOUN
cet-6262	7	32	etc	etc	X
cet-6262	7	33	.	.	X
cet-6262	8	1	however	however	ADV
cet-6262	8	2	in	in	ADP
cet-6262	8	3	a	a	DET
cet-6262	8	4	complicated	complicated	ADJ
cet-6262	8	5	environment	environment	NOUN
cet-6262	8	6	with	with	ADP
cet-6262	8	7	unknown	unknown	ADJ
cet-6262	8	8	mechanisms	mechanism	NOUN
cet-6262	8	9	,	,	PUNCT
cet-6262	8	10	degradation	degradation	NOUN
cet-6262	8	11	records	record	NOUN
cet-6262	8	12	may	may	AUX
cet-6262	8	13	appear	appear	VERB
cet-6262	8	14	largely	largely	ADV
cet-6262	8	15	fluctuating	fluctuate	VERB
cet-6262	8	16	.	.	PUNCT
cet-6262	9	1	therefore	therefore	ADV
cet-6262	9	2	it	it	PRON
cet-6262	9	3	is	be	AUX
cet-6262	9	4	hard	hard	ADJ
cet-6262	9	5	to	to	PART
cet-6262	9	6	use	use	VERB
cet-6262	9	7	usual	usual	ADJ
cet-6262	9	8	models	model	NOUN
cet-6262	9	9	to	to	PART
cet-6262	9	10	explain	explain	VERB
cet-6262	9	11	everything	everything	PRON
cet-6262	9	12	,	,	PUNCT
cet-6262	9	13	e.g.	e.g.	ADV
cet-6262	9	14	paris	paris	PROPN
cet-6262	9	15	-	-	PUNCT
cet-6262	9	16	erdogan	erdogan	ADJ
cet-6262	9	17	model	model	NOUN
cet-6262	9	18	or	or	CCONJ
cet-6262	9	19	gamma	gamma	NOUN
cet-6262	9	20	process	process	NOUN
cet-6262	9	21	,	,	PUNCT
cet-6262	9	22	and	and	CCONJ
cet-6262	9	23	more	more	ADJ
cet-6262	9	24	and	and	CCONJ
cet-6262	9	25	more	more	ADJ
cet-6262	9	26	people	people	NOUN
cet-6262	9	27	add	add	VERB
cet-6262	9	28	fluctuating	fluctuate	VERB
cet-6262	9	29	uncertainties	uncertainty	NOUN
cet-6262	9	30	into	into	ADP
cet-6262	9	31	the	the	DET
cet-6262	9	32	degradation	degradation	NOUN
cet-6262	9	33	models	model	NOUN
cet-6262	9	34	(	(	PUNCT
cet-6262	9	35	k.	k.	NOUN
cet-6262	9	36	sobczyk	sobczyk	PROPN
cet-6262	9	37	,	,	PUNCT
cet-6262	9	38	2004	2004	NUM
cet-6262	9	39	)	)	PUNCT
cet-6262	9	40	.	.	PUNCT
cet-6262	10	1	in	in	ADP
cet-6262	10	2	general	general	ADJ
cet-6262	10	3	,	,	PUNCT
cet-6262	10	4	people	people	NOUN
cet-6262	10	5	consider	consider	VERB
cet-6262	10	6	the	the	DET
cet-6262	10	7	fluctuation	fluctuation	NOUN
cet-6262	10	8	in	in	ADP
cet-6262	10	9	the	the	DET
cet-6262	10	10	degradation	degradation	NOUN
cet-6262	10	11	records	record	NOUN
cet-6262	10	12	from	from	ADP
cet-6262	10	13	2	2	NUM
cet-6262	10	14	ways	way	NOUN
cet-6262	10	15	.	.	PUNCT
cet-6262	11	1	the	the	DET
cet-6262	11	2	first	first	ADJ
cet-6262	11	3	is	be	AUX
cet-6262	11	4	to	to	PART
cet-6262	11	5	consider	consider	VERB
cet-6262	11	6	the	the	DET
cet-6262	11	7	uncertainties	uncertainty	NOUN
cet-6262	11	8	as	as	ADP
cet-6262	11	9	random	random	ADJ
cet-6262	11	10	errors	error	NOUN
cet-6262	11	11	e.g.	e.g.	ADV
cet-6262	11	12	measurement	measurement	NOUN
cet-6262	11	13	errors	error	NOUN
cet-6262	11	14	to	to	ADP
cet-6262	11	15	the	the	DET
cet-6262	11	16	original	original	ADJ
cet-6262	11	17	degradation	degradation	NOUN
cet-6262	11	18	mechanism	mechanism	NOUN
cet-6262	11	19	,	,	PUNCT
cet-6262	11	20	which	which	PRON
cet-6262	11	21	should	should	AUX
cet-6262	11	22	be	be	AUX
cet-6262	11	23	independent	independent	ADJ
cet-6262	11	24	with	with	ADP
cet-6262	11	25	each	each	DET
cet-6262	11	26	other	other	ADJ
cet-6262	11	27	at	at	ADP
cet-6262	11	28	different	different	ADJ
cet-6262	11	29	times	time	NOUN
cet-6262	11	30	.	.	PUNCT
cet-6262	12	1	this	this	PRON
cet-6262	12	2	is	be	AUX
cet-6262	12	3	supposed	suppose	VERB
cet-6262	12	4	by	by	ADP
cet-6262	12	5	plenty	plenty	NOUN
cet-6262	12	6	of	of	ADP
cet-6262	12	7	physical	physical	ADJ
cet-6262	12	8	or	or	CCONJ
cet-6262	12	9	engineering	engineering	NOUN
cet-6262	12	10	work	work	NOUN
cet-6262	12	11	(	(	PUNCT
cet-6262	12	12	robert	robert	PROPN
cet-6262	12	13	e.	e.	PROPN
cet-6262	12	14	melchers	melchers	PROPN
cet-6262	12	15	,	,	PUNCT
cet-6262	12	16	1999	1999	NUM
cet-6262	12	17	)	)	PUNCT
cet-6262	12	18	.	.	PUNCT
cet-6262	13	1	the	the	DET
cet-6262	13	2	other	other	ADJ
cet-6262	13	3	supposes	suppose	VERB
cet-6262	13	4	that	that	SCONJ
cet-6262	13	5	the	the	DET
cet-6262	13	6	internal	internal	ADJ
cet-6262	13	7	uncertainty	uncertainty	NOUN
cet-6262	13	8	cause	cause	VERB
cet-6262	13	9	the	the	DET
cet-6262	13	10	fluctuation	fluctuation	NOUN
cet-6262	13	11	.	.	PUNCT
cet-6262	14	1	however	however	ADV
cet-6262	14	2	in	in	ADP
cet-6262	14	3	this	this	DET
cet-6262	14	4	case	case	NOUN
cet-6262	14	5	,	,	PUNCT
cet-6262	14	6	we	we	PRON
cet-6262	14	7	should	should	AUX
cet-6262	14	8	notice	notice	VERB
cet-6262	14	9	that	that	SCONJ
cet-6262	14	10	because	because	SCONJ
cet-6262	14	11	of	of	ADP
cet-6262	14	12	the	the	DET
cet-6262	14	13	complicated	complicated	ADJ
cet-6262	14	14	internal	internal	ADJ
cet-6262	14	15	mechanisms	mechanism	NOUN
cet-6262	14	16	,	,	PUNCT
cet-6262	14	17	the	the	DET
cet-6262	14	18	outside	outside	ADJ
cet-6262	14	19	appearance	appearance	NOUN
cet-6262	14	20	of	of	ADP
cet-6262	14	21	the	the	DET
cet-6262	14	22	internal	internal	ADJ
cet-6262	14	23	uncertainties	uncertainty	NOUN
cet-6262	14	24	can	can	AUX
cet-6262	14	25	be	be	AUX
cet-6262	14	26	rather	rather	ADV
cet-6262	14	27	unpredictable	unpredictable	ADJ
cet-6262	14	28	.	.	PUNCT
cet-6262	15	1	and	and	CCONJ
cet-6262	15	2	also	also	ADV
cet-6262	15	3	as	as	SCONJ
cet-6262	15	4	the	the	DET
cet-6262	15	5	complexity	complexity	NOUN
cet-6262	15	6	of	of	ADP
cet-6262	15	7	such	such	ADJ
cet-6262	15	8	models	model	NOUN
cet-6262	15	9	is	be	AUX
cet-6262	15	10	beyond	beyond	ADP
cet-6262	15	11	the	the	DET
cet-6262	15	12	previous	previous	ADJ
cet-6262	15	13	consideration	consideration	NOUN
cet-6262	15	14	,	,	PUNCT
cet-6262	15	15	it	it	PRON
cet-6262	15	16	is	be	AUX
cet-6262	15	17	hard	hard	ADJ
cet-6262	15	18	to	to	PART
cet-6262	15	19	perform	perform	VERB
cet-6262	15	20	later	later	ADV
cet-6262	15	21	work	work	NOUN
cet-6262	15	22	such	such	ADJ
cet-6262	15	23	as	as	ADP
cet-6262	15	24	estimation	estimation	NOUN
cet-6262	15	25	of	of	ADP
cet-6262	15	26	rul	rul	NOUN
cet-6262	15	27	and	and	CCONJ
cet-6262	15	28	mean	mean	VERB
cet-6262	15	29	time	time	NOUN
cet-6262	15	30	to	to	ADP
cet-6262	15	31	failure	failure	NOUN
cet-6262	15	32	(	(	PUNCT
cet-6262	15	33	mttf	mttf	NOUN
cet-6262	15	34	)	)	PUNCT
cet-6262	15	35	.	.	PUNCT
cet-6262	16	1	however	however	ADV
cet-6262	16	2	this	this	PRON
cet-6262	16	3	is	be	AUX
cet-6262	16	4	an	an	DET
cet-6262	16	5	active	active	ADJ
cet-6262	16	6	field	field	NOUN
cet-6262	16	7	attracted	attract	VERB
cet-6262	16	8	by	by	ADP
cet-6262	16	9	many	many	ADJ
cet-6262	16	10	authors	author	NOUN
cet-6262	16	11	(	(	PUNCT
cet-6262	16	12	si	si	X
cet-6262	16	13	et	et	PROPN
cet-6262	16	14	al	al	PROPN
cet-6262	16	15	.	.	PROPN
cet-6262	16	16	,	,	PUNCT
cet-6262	16	17	2012	2012	NUM
cet-6262	16	18	)	)	PUNCT
cet-6262	16	19	.	.	PUNCT
cet-6262	17	1	compared	compare	VERB
cet-6262	17	2	to	to	ADP
cet-6262	17	3	existing	exist	VERB
cet-6262	17	4	stochastic	stochastic	ADJ
cet-6262	17	5	degradation	degradation	NOUN
cet-6262	17	6	models	model	NOUN
cet-6262	17	7	,	,	PUNCT
cet-6262	17	8	the	the	DET
cet-6262	17	9	model	model	NOUN
cet-6262	17	10	stated	state	VERB
cet-6262	17	11	in	in	ADP
cet-6262	17	12	this	this	DET
cet-6262	17	13	paper	paper	NOUN
cet-6262	17	14	is	be	AUX
cet-6262	17	15	different	different	ADJ
cet-6262	17	16	from	from	ADP
cet-6262	17	17	3	3	NUM
cet-6262	17	18	aspects	aspect	NOUN
cet-6262	17	19	.	.	PUNCT
cet-6262	18	1	firstly	firstly	ADV
cet-6262	18	2	,	,	PUNCT
cet-6262	18	3	the	the	DET
cet-6262	18	4	influence	influence	NOUN
cet-6262	18	5	of	of	ADP
cet-6262	18	6	the	the	DET
cet-6262	18	7	uncertainty	uncertainty	NOUN
cet-6262	18	8	at	at	ADP
cet-6262	18	9	the	the	DET
cet-6262	18	10	initial	initial	ADJ
cet-6262	18	11	state	state	NOUN
cet-6262	18	12	is	be	AUX
cet-6262	18	13	considered	consider	VERB
cet-6262	18	14	and	and	CCONJ
cet-6262	18	15	connected	connect	VERB
cet-6262	18	16	to	to	ADP
cet-6262	18	17	later	later	ADJ
cet-6262	18	18	performance	performance	NOUN
cet-6262	18	19	.	.	PUNCT
cet-6262	19	1	secondly	secondly	ADV
cet-6262	19	2	,	,	PUNCT
cet-6262	19	3	the	the	DET
cet-6262	19	4	variance	variance	NOUN
cet-6262	19	5	of	of	ADP
cet-6262	19	6	the	the	DET
cet-6262	19	7	process	process	NOUN
cet-6262	19	8	is	be	AUX
cet-6262	19	9	almost	almost	ADV
cet-6262	19	10	a	a	DET
cet-6262	19	11	constant	constant	ADJ
cet-6262	19	12	,	,	PUNCT
cet-6262	19	13	which	which	PRON
cet-6262	19	14	can	can	AUX
cet-6262	19	15	provide	provide	VERB
cet-6262	19	16	a	a	DET
cet-6262	19	17	more	more	ADV
cet-6262	19	18	appropriate	appropriate	ADJ
cet-6262	19	19	way	way	NOUN
cet-6262	19	20	to	to	PART
cet-6262	19	21	describe	describe	VERB
cet-6262	19	22	the	the	DET
cet-6262	19	23	system	system	NOUN
cet-6262	19	24	development	development	NOUN
cet-6262	19	25	.	.	PUNCT
cet-6262	20	1	thirdly	thirdly	ADV
cet-6262	20	2	,	,	PUNCT
cet-6262	20	3	this	this	DET
cet-6262	20	4	model	model	NOUN
cet-6262	20	5	has	have	VERB
cet-6262	20	6	good	good	ADJ
cet-6262	20	7	properties	property	NOUN
cet-6262	20	8	for	for	ADP
cet-6262	20	9	numerical	numerical	ADJ
cet-6262	20	10	solution	solution	NOUN
cet-6262	20	11	:	:	PUNCT
cet-6262	20	12	the	the	DET
cet-6262	20	13	first	first	ADJ
cet-6262	20	14	passage	passage	NOUN
cet-6262	20	15	failure	failure	NOUN
cet-6262	20	16	can	can	AUX
cet-6262	20	17	be	be	AUX
cet-6262	20	18	estimated	estimate	VERB
cet-6262	20	19	based	base	VERB
cet-6262	20	20	on	on	ADP
cet-6262	20	21	efficient	efficient	ADJ
cet-6262	20	22	and	and	CCONJ
cet-6262	20	23	stable	stable	ADJ
cet-6262	20	24	numerical	numerical	ADJ
cet-6262	20	25	methods	method	NOUN
cet-6262	20	26	without	without	ADP
cet-6262	20	27	the	the	DET
cet-6262	20	28	usage	usage	NOUN
cet-6262	20	29	of	of	ADP
cet-6262	20	30	monte	monte	PROPN
cet-6262	20	31	-	-	PUNCT
cet-6262	20	32	carlo	carlo	PROPN
cet-6262	20	33	simulation	simulation	NOUN
cet-6262	20	34	.	.	PUNCT
cet-6262	21	1	2	2	X
cet-6262	21	2	.	.	X
cet-6262	21	3	stochastic	stochastic	ADJ
cet-6262	21	4	modeling	modeling	NOUN
cet-6262	21	5	of	of	ADP
cet-6262	21	6	degradation	degradation	NOUN
cet-6262	21	7	processes	process	VERB
cet-6262	21	8	2.1	2.1	NUM
cet-6262	21	9	system	system	NOUN
cet-6262	21	10	descriptions	description	NOUN
cet-6262	21	11	and	and	CCONJ
cet-6262	21	12	hypotheses	hypothesis	NOUN
cet-6262	21	13	in	in	ADP
cet-6262	21	14	this	this	DET
cet-6262	21	15	paper	paper	NOUN
cet-6262	21	16	,	,	PUNCT
cet-6262	21	17	we	we	PRON
cet-6262	21	18	concentrate	concentrate	VERB
cet-6262	21	19	on	on	ADP
cet-6262	21	20	deteriorating	deteriorate	VERB
cet-6262	21	21	systems	system	NOUN
cet-6262	21	22	subject	subject	ADJ
cet-6262	21	23	to	to	ADP
cet-6262	21	24	gradually	gradually	ADV
cet-6262	21	25	degradation	degradation	NOUN
cet-6262	21	26	processes	process	NOUN
cet-6262	21	27	such	such	ADJ
cet-6262	21	28	as	as	ADP
cet-6262	21	29	fatigue	fatigue	NOUN
cet-6262	21	30	crack	crack	NOUN
cet-6262	21	31	,	,	PUNCT
cet-6262	21	32	corrosion	corrosion	NOUN
cet-6262	21	33	,	,	PUNCT
cet-6262	21	34	erosion	erosion	NOUN
cet-6262	21	35	etc	etc	X
cet-6262	21	36	.	.	X
cet-6262	22	1	and	and	CCONJ
cet-6262	22	2	we	we	PRON
cet-6262	22	3	suppose	suppose	VERB
cet-6262	22	4	there	there	PRON
cet-6262	22	5	exist	exist	VERB
cet-6262	22	6	mainly	mainly	ADV
cet-6262	22	7	2	2	NUM
cet-6262	22	8	kinds	kind	NOUN
cet-6262	22	9	of	of	ADP
cet-6262	22	10	uncertainties	uncertainty	NOUN
cet-6262	22	11	in	in	ADP
cet-6262	22	12	deterioration	deterioration	NOUN
cet-6262	22	13	model	model	NOUN
cet-6262	22	14	:	:	PUNCT
cet-6262	22	15	measurement	measurement	NOUN
cet-6262	22	16	error	error	NOUN
cet-6262	22	17	and	and	CCONJ
cet-6262	22	18	deterioration	deterioration	NOUN
cet-6262	22	19	mechanism	mechanism	NOUN
cet-6262	22	20	.	.	PUNCT
cet-6262	23	1	both	both	PRON
cet-6262	23	2	of	of	ADP
cet-6262	23	3	them	they	PRON
cet-6262	23	4	are	be	AUX
cet-6262	23	5	considered	consider	VERB
cet-6262	23	6	here	here	ADV
cet-6262	23	7	,	,	PUNCT
cet-6262	23	8	however	however	ADV
cet-6262	23	9	the	the	DET
cet-6262	23	10	measurement	measurement	NOUN
cet-6262	23	11	error	error	NOUN
cet-6262	23	12	is	be	AUX
cet-6262	23	13	treated	treat	VERB
cet-6262	23	14	as	as	ADP
cet-6262	23	15	the	the	DET
cet-6262	23	16	internal	internal	ADJ
cet-6262	23	17	uncertainty	uncertainty	NOUN
cet-6262	23	18	but	but	CCONJ
cet-6262	23	19	not	not	PART
cet-6262	23	20	as	as	ADP
cet-6262	23	21	an	an	DET
cet-6262	23	22	additive	additive	ADJ
cet-6262	23	23	noise	noise	NOUN
cet-6262	23	24	.	.	PUNCT
cet-6262	24	1	two	two	NUM
cet-6262	24	2	325	325	NUM
cet-6262	24	3	doi	doi	NOUN
cet-6262	24	4	:	:	PUNCT
cet-6262	24	5	10.3303	10.3303	NUM
cet-6262	24	6	/	/	SYM
cet-6262	24	7	cet1333055	cet1333055	NOUN
cet-6262	24	8	please	please	INTJ
cet-6262	24	9	cite	cite	VERB
cet-6262	24	10	this	this	DET
cet-6262	24	11	article	article	NOUN
cet-6262	24	12	as	as	ADP
cet-6262	24	13	:	:	PUNCT
cet-6262	24	14	deng	deng	PROPN
cet-6262	24	15	y.	y.	PROPN
cet-6262	24	16	,	,	PUNCT
cet-6262	24	17	barros	barros	PROPN
cet-6262	24	18	a.	a.	PROPN
cet-6262	24	19	,	,	PUNCT
cet-6262	24	20	grall	grall	NOUN
cet-6262	24	21	a.	a.	NOUN
cet-6262	24	22	,	,	PUNCT
cet-6262	24	23	2013	2013	NUM
cet-6262	24	24	,	,	PUNCT
cet-6262	24	25	residual	residual	ADJ
cet-6262	24	26	useful	useful	ADJ
cet-6262	24	27	life	life	NOUN
cet-6262	24	28	estimation	estimation	NOUN
cet-6262	24	29	based	base	VERB
cet-6262	24	30	on	on	ADP
cet-6262	24	31	a	a	DET
cet-6262	24	32	time	time	NOUN
cet-6262	24	33	-	-	PUNCT
cet-6262	24	34	dependent	dependent	ADJ
cet-6262	24	35	ornsteinuhlenbeck	ornsteinuhlenbeck	NOUN
cet-6262	24	36	process	process	NOUN
cet-6262	24	37	,	,	PUNCT
cet-6262	24	38	chemical	chemical	NOUN
cet-6262	24	39	engineering	engineering	NOUN
cet-6262	24	40	transactions	transaction	NOUN
cet-6262	24	41	,	,	PUNCT
cet-6262	24	42	33	33	NUM
cet-6262	24	43	,	,	PUNCT
cet-6262	24	44	325	325	NUM
cet-6262	24	45	-	-	SYM
cet-6262	24	46	330	330	NUM
cet-6262	24	47	doi	doi	NOUN
cet-6262	24	48	:	:	PUNCT
cet-6262	24	49	10.3303	10.3303	NUM
cet-6262	24	50	/	/	SYM
cet-6262	24	51	cet1333055	cet1333055	NOUN
cet-6262	24	52	reasons	reason	NOUN
cet-6262	24	53	motivate	motivate	VERB
cet-6262	24	54	this	this	DET
cet-6262	24	55	simplification	simplification	NOUN
cet-6262	24	56	.	.	PUNCT
cet-6262	25	1	in	in	ADP
cet-6262	25	2	one	one	NUM
cet-6262	25	3	hand	hand	NOUN
cet-6262	25	4	in	in	ADP
cet-6262	25	5	stochastic	stochastic	ADJ
cet-6262	25	6	deteriorating	deteriorate	VERB
cet-6262	25	7	systems	system	NOUN
cet-6262	25	8	,	,	PUNCT
cet-6262	25	9	uncertainties	uncertainty	NOUN
cet-6262	25	10	at	at	ADP
cet-6262	25	11	different	different	ADJ
cet-6262	25	12	times	time	NOUN
cet-6262	25	13	generally	generally	ADV
cet-6262	25	14	are	be	AUX
cet-6262	25	15	dependent	dependent	ADJ
cet-6262	25	16	with	with	ADP
cet-6262	25	17	each	each	DET
cet-6262	25	18	other	other	ADJ
cet-6262	25	19	.	.	PUNCT
cet-6262	26	1	in	in	ADP
cet-6262	26	2	the	the	DET
cet-6262	26	3	other	other	ADJ
cet-6262	26	4	hand	hand	NOUN
cet-6262	26	5	,	,	PUNCT
cet-6262	26	6	the	the	DET
cet-6262	26	7	internal	internal	ADJ
cet-6262	26	8	uncertainty	uncertainty	NOUN
cet-6262	26	9	is	be	AUX
cet-6262	26	10	a	a	DET
cet-6262	26	11	common	common	ADJ
cet-6262	26	12	phenomenon	phenomenon	NOUN
cet-6262	26	13	in	in	ADP
cet-6262	26	14	degradation	degradation	NOUN
cet-6262	26	15	cases	case	NOUN
cet-6262	26	16	.	.	PUNCT
cet-6262	27	1	for	for	ADP
cet-6262	27	2	instance	instance	NOUN
cet-6262	27	3	in	in	ADP
cet-6262	27	4	crack	crack	NOUN
cet-6262	27	5	and	and	CCONJ
cet-6262	27	6	related	related	ADJ
cet-6262	27	7	fatigue	fatigue	NOUN
cet-6262	27	8	phenomenon	phenomenon	NOUN
cet-6262	27	9	,	,	PUNCT
cet-6262	27	10	a	a	DET
cet-6262	27	11	very	very	ADV
cet-6262	27	12	important	important	ADJ
cet-6262	27	13	phenomenon	phenomenon	NOUN
cet-6262	27	14	named	name	VERB
cet-6262	27	15	crack	crack	NOUN
cet-6262	27	16	closure	closure	NOUN
cet-6262	27	17	can	can	AUX
cet-6262	27	18	cause	cause	VERB
cet-6262	27	19	fluctuation	fluctuation	NOUN
cet-6262	27	20	in	in	ADP
cet-6262	27	21	the	the	DET
cet-6262	27	22	crack	crack	NOUN
cet-6262	27	23	growth	growth	NOUN
cet-6262	27	24	records	record	NOUN
cet-6262	27	25	even	even	ADV
cet-6262	27	26	with	with	ADP
cet-6262	27	27	perfect	perfect	ADJ
cet-6262	27	28	measurement	measurement	NOUN
cet-6262	27	29	(	(	PUNCT
cet-6262	27	30	k.	k.	NOUN
cet-6262	27	31	sobczyk	sobczyk	PROPN
cet-6262	27	32	,	,	PUNCT
cet-6262	27	33	2004	2004	NUM
cet-6262	27	34	)	)	PUNCT
cet-6262	27	35	.	.	PUNCT
cet-6262	28	1	also	also	ADV
cet-6262	28	2	a	a	DET
cet-6262	28	3	recent	recent	ADJ
cet-6262	28	4	work	work	NOUN
cet-6262	28	5	on	on	ADP
cet-6262	28	6	the	the	DET
cet-6262	28	7	impact	impact	NOUN
cet-6262	28	8	of	of	ADP
cet-6262	28	9	lightning	lightning	NOUN
cet-6262	28	10	in	in	ADP
cet-6262	28	11	corrosion	corrosion	NOUN
cet-6262	28	12	failure	failure	NOUN
cet-6262	28	13	can	can	AUX
cet-6262	28	14	also	also	ADV
cet-6262	28	15	support	support	VERB
cet-6262	28	16	this	this	DET
cet-6262	28	17	system	system	NOUN
cet-6262	28	18	hypothesis	hypothesis	NOUN
cet-6262	28	19	(	(	PUNCT
cet-6262	28	20	necci	necci	NOUN
cet-6262	28	21	et	et	PROPN
cet-6262	28	22	al	al	PROPN
cet-6262	28	23	.	.	PROPN
cet-6262	28	24	,	,	PUNCT
cet-6262	28	25	2012	2012	NUM
cet-6262	28	26	)	)	PUNCT
cet-6262	28	27	.	.	PUNCT
cet-6262	29	1	to	to	PART
cet-6262	29	2	summarize	summarize	VERB
cet-6262	29	3	the	the	DET
cet-6262	29	4	above	above	ADJ
cet-6262	29	5	and	and	CCONJ
cet-6262	29	6	for	for	ADP
cet-6262	29	7	mathematical	mathematical	ADJ
cet-6262	29	8	simplification	simplification	NOUN
cet-6262	29	9	,	,	PUNCT
cet-6262	29	10	the	the	DET
cet-6262	29	11	system	system	NOUN
cet-6262	29	12	in	in	ADP
cet-6262	29	13	consideration	consideration	NOUN
cet-6262	29	14	is	be	AUX
cet-6262	29	15	supposed	suppose	VERB
cet-6262	29	16	to	to	PART
cet-6262	29	17	have	have	VERB
cet-6262	29	18	the	the	DET
cet-6262	29	19	following	follow	VERB
cet-6262	29	20	properties	property	NOUN
cet-6262	29	21	:	:	PUNCT
cet-6262	29	22	1	1	X
cet-6262	29	23	)	)	PUNCT
cet-6262	29	24	the	the	DET
cet-6262	29	25	system	system	NOUN
cet-6262	29	26	deteriorates	deteriorate	VERB
cet-6262	29	27	gradually	gradually	ADV
cet-6262	29	28	without	without	ADP
cet-6262	29	29	the	the	DET
cet-6262	29	30	risk	risk	NOUN
cet-6262	29	31	of	of	ADP
cet-6262	29	32	sudden	sudden	ADJ
cet-6262	29	33	shocks	shock	NOUN
cet-6262	29	34	e.g.	e.g.	ADV
cet-6262	29	35	earthquakes	earthquake	NOUN
cet-6262	29	36	,	,	PUNCT
cet-6262	29	37	tsunami	tsunami	NOUN
cet-6262	29	38	etc	etc	X
cet-6262	29	39	.	.	X
cet-6262	30	1	2	2	X
cet-6262	30	2	)	)	PUNCT
cet-6262	30	3	the	the	DET
cet-6262	30	4	initial	initial	ADJ
cet-6262	30	5	system	system	NOUN
cet-6262	30	6	state	state	NOUN
cet-6262	30	7	can	can	AUX
cet-6262	30	8	not	not	PART
cet-6262	30	9	be	be	AUX
cet-6262	30	10	observed	observe	VERB
cet-6262	30	11	explicitly	explicitly	ADV
cet-6262	30	12	,	,	PUNCT
cet-6262	30	13	or	or	CCONJ
cet-6262	30	14	has	have	VERB
cet-6262	30	15	some	some	DET
cet-6262	30	16	uncertainties	uncertainty	NOUN
cet-6262	30	17	.	.	PUNCT
cet-6262	31	1	3	3	X
cet-6262	31	2	)	)	PUNCT
cet-6262	31	3	the	the	DET
cet-6262	31	4	degradation	degradation	NOUN
cet-6262	31	5	records	record	NOUN
cet-6262	31	6	have	have	VERB
cet-6262	31	7	obvious	obvious	ADJ
cet-6262	31	8	fluctuations	fluctuation	NOUN
cet-6262	31	9	caused	cause	VERB
cet-6262	31	10	by	by	ADP
cet-6262	31	11	internal	internal	ADJ
cet-6262	31	12	system	system	NOUN
cet-6262	31	13	mechanisms	mechanism	NOUN
cet-6262	31	14	and	and	CCONJ
cet-6262	31	15	errors	error	NOUN
cet-6262	31	16	.	.	PUNCT
cet-6262	32	1	2.2	2.2	NUM
cet-6262	32	2	time	time	NOUN
cet-6262	32	3	-	-	PUNCT
cet-6262	32	4	dependent	dependent	ADJ
cet-6262	32	5	ornstein	ornstein	PROPN
cet-6262	32	6	-	-	PUNCT
cet-6262	32	7	uhlenbeck	uhlenbeck	PROPN
cet-6262	32	8	process	process	NOUN
cet-6262	32	9	following	follow	VERB
cet-6262	32	10	the	the	DET
cet-6262	32	11	hypotheses	hypothesis	NOUN
cet-6262	32	12	of	of	ADP
cet-6262	32	13	the	the	DET
cet-6262	32	14	system	system	NOUN
cet-6262	32	15	in	in	ADP
cet-6262	32	16	previous	previous	ADJ
cet-6262	32	17	section	section	NOUN
cet-6262	32	18	,	,	PUNCT
cet-6262	32	19	noting	note	VERB
cet-6262	32	20	tx	tx	PROPN
cet-6262	32	21	as	as	ADP
cet-6262	32	22	the	the	DET
cet-6262	32	23	degradation	degradation	NOUN
cet-6262	32	24	level	level	NOUN
cet-6262	32	25	at	at	ADP
cet-6262	32	26	time	time	NOUN
cet-6262	32	27	t	t	PROPN
cet-6262	32	28	,	,	PUNCT
cet-6262	32	29	here	here	ADV
cet-6262	32	30	we	we	PRON
cet-6262	32	31	suppose	suppose	VERB
cet-6262	32	32	that	that	SCONJ
cet-6262	32	33	tx	tx	PROPN
cet-6262	32	34	satisfies	satisfy	VERB
cet-6262	32	35	the	the	DET
cet-6262	32	36	following	follow	VERB
cet-6262	32	37	time	time	NOUN
cet-6262	32	38	-	-	PUNCT
cet-6262	32	39	dependent	dependent	ADJ
cet-6262	32	40	ornstein	ornstein	PROPN
cet-6262	32	41	-	-	PUNCT
cet-6262	32	42	uhlenbeck	uhlenbeck	PROPN
cet-6262	32	43	process	process	NOUN
cet-6262	32	44	:	:	PUNCT
cet-6262	32	45	,	,	PUNCT
cet-6262	32	46	)	)	PUNCT
cet-6262	32	47	)	)	PUNCT
cet-6262	32	48	(	(	PUNCT
cet-6262	32	49	)	)	PUNCT
cet-6262	32	50	(	(	PUNCT
cet-6262	32	51	'	'	PUNCT
cet-6262	32	52	(	(	PUNCT
cet-6262	32	53	ttt	ttt	PROPN
cet-6262	32	54	dbdttrmtmrxdx	dbdttrmtmrxdx	PROPN
cet-6262	32	55	σ+++−=	σ+++−=	PROPN
cet-6262	32	56	(	(	PUNCT
cet-6262	32	57	1	1	NUM
cet-6262	32	58	)	)	PUNCT
cet-6262	32	59	where	where	SCONJ
cet-6262	32	60	σ	σ	NOUN
cet-6262	32	61	,	,	PUNCT
cet-6262	32	62	r	r	NOUN
cet-6262	32	63	are	be	AUX
cet-6262	32	64	non	non	ADJ
cet-6262	32	65	-	-	ADJ
cet-6262	32	66	negative	negative	ADJ
cet-6262	32	67	real	real	ADJ
cet-6262	32	68	constants	constant	NOUN
cet-6262	32	69	,	,	PUNCT
cet-6262	32	70	)	)	PUNCT
cet-6262	32	71	,	,	PUNCT
cet-6262	32	72	0	0	NUM
cet-6262	32	73	[	[	NOUN
cet-6262	32	74	)	)	PUNCT
cet-6262	32	75	(	(	PUNCT
cet-6262	32	76	1	1	NUM
cet-6262	32	77	+	+	ADP
cet-6262	32	78	∞∈ctm	∞∈ctm	ADV
cet-6262	32	79	,	,	PUNCT
cet-6262	32	80	tb	tb	X
cet-6262	32	81	is	be	AUX
cet-6262	32	82	a	a	DET
cet-6262	32	83	standard	standard	ADJ
cet-6262	32	84	brownian	brownian	ADJ
cet-6262	32	85	motion	motion	NOUN
cet-6262	32	86	.	.	PUNCT
cet-6262	33	1	the	the	DET
cet-6262	33	2	initial	initial	ADJ
cet-6262	33	3	value	value	NOUN
cet-6262	33	4	0x	0x	NOUN
cet-6262	33	5	is	be	AUX
cet-6262	33	6	a	a	DET
cet-6262	33	7	random	random	ADJ
cet-6262	33	8	variable	variable	NOUN
cet-6262	33	9	with	with	ADP
cet-6262	33	10	cumulative	cumulative	ADJ
cet-6262	33	11	distribution	distribution	NOUN
cet-6262	33	12	function	function	NOUN
cet-6262	33	13	)	)	PUNCT
cet-6262	33	14	(	(	PUNCT
cet-6262	33	15	0	0	NUM
cet-6262	33	16	xf	xf	NOUN
cet-6262	33	17	and	and	CCONJ
cet-6262	33	18	probability	probability	NOUN
cet-6262	33	19	density	density	NOUN
cet-6262	33	20	function(pdf	function(pdf	NOUN
cet-6262	33	21	)	)	PUNCT
cet-6262	33	22	)	)	PUNCT
cet-6262	34	1	(	(	PUNCT
cet-6262	34	2	0	0	NUM
cet-6262	34	3	xf	xf	NOUN
cet-6262	34	4	,	,	PUNCT
cet-6262	34	5	moreover	moreover	ADV
cet-6262	34	6	it	it	PRON
cet-6262	34	7	has	have	VERB
cet-6262	34	8	variance	variance	NOUN
cet-6262	34	9	0v	0v	NOUN
cet-6262	34	10	and	and	CCONJ
cet-6262	34	11	mean	mean	VERB
cet-6262	34	12	0	0	NUM
cet-6262	34	13	m	m	NOUN
cet-6262	34	14	.	.	PUNCT
cet-6262	35	1	the	the	DET
cet-6262	35	2	solution	solution	NOUN
cet-6262	35	3	of	of	ADP
cet-6262	35	4	the	the	DET
cet-6262	35	5	equation	equation	NOUN
cet-6262	35	6	(	(	PUNCT
cet-6262	35	7	1	1	X
cet-6262	35	8	)	)	PUNCT
cet-6262	35	9	can	can	AUX
cet-6262	35	10	be	be	AUX
cet-6262	35	11	given	give	VERB
cet-6262	35	12	by	by	ADP
cet-6262	35	13	:	:	PUNCT
cet-6262	35	14	.))(exp()exp	.))(exp()exp	PROPN
cet-6262	35	15	(	(	PUNCT
cet-6262	35	16	)	)	PUNCT
cet-6262	35	17	(	(	PUNCT
cet-6262	35	18	)	)	PUNCT
cet-6262	35	19	(	(	PUNCT
cet-6262	35	20	000	000	NUM
cet-6262	35	21	−+−−+=	−+−−+=	NUM
cet-6262	35	22	t	t	PROPN
cet-6262	35	23	ut	ut	PROPN
cet-6262	35	24	dbutrrtmxtmx	dbutrrtmxtmx	PROPN
cet-6262	35	25	σ	σ	PROPN
cet-6262	35	26	(	(	PUNCT
cet-6262	35	27	2	2	NUM
cet-6262	35	28	)	)	PUNCT
cet-6262	35	29	and	and	CCONJ
cet-6262	35	30	therefore	therefore	ADV
cet-6262	35	31	the	the	DET
cet-6262	35	32	mean	mean	NOUN
cet-6262	35	33	and	and	CCONJ
cet-6262	35	34	covariance	covariance	NOUN
cet-6262	35	35	of	of	ADP
cet-6262	35	36	tx	tx	PROPN
cet-6262	35	37	are	be	AUX
cet-6262	35	38	given	give	VERB
cet-6262	35	39	when	when	SCONJ
cet-6262	35	40	st	st	PROPN
cet-6262	35	41	≥	≥	PROPN
cet-6262	35	42	:	:	PUNCT
cet-6262	35	43	)	)	PUNCT
cet-6262	35	44	)	)	PUNCT
cet-6262	36	1	.2exp(2))((exp	.2exp(2))((exp	NOUN
cet-6262	36	2	(	(	PUNCT
cet-6262	36	3	2	2	NUM
cet-6262	36	4	)	)	PUNCT
cet-6262	36	5	,	,	PUNCT
cet-6262	36	6	(	(	PUNCT
cet-6262	36	7	)	)	PUNCT
cet-6262	36	8	,	,	PUNCT
cet-6262	36	9	(	(	PUNCT
cet-6262	36	10	)	)	PUNCT
cet-6262	36	11	(	(	PUNCT
cet-6262	36	12	2	2	NUM
cet-6262	36	13	2	2	NUM
cet-6262	36	14	0	0	NUM
cet-6262	36	15	2	2	NUM
cet-6262	36	16	srvstr	srvstr	NOUN
cet-6262	36	17	r	r	NOUN
cet-6262	36	18	xxcovtmxe	xxcovtmxe	NOUN
cet-6262	36	19	stt	stt	PROPN
cet-6262	37	1	+	+	PROPN
cet-6262	37	2	−+−==	−+−==	PROPN
cet-6262	37	3	σ	σ	NOUN
cet-6262	37	4	σσ	σσ	ADP
cet-6262	37	5	(	(	PUNCT
cet-6262	37	6	3	3	X
cet-6262	37	7	)	)	PUNCT
cet-6262	37	8	remarks	remark	VERB
cet-6262	37	9	:	:	PUNCT
cet-6262	37	10	when	when	SCONJ
cet-6262	37	11	rv	rv	PROPN
cet-6262	37	12	2/2	2/2	NUM
cet-6262	37	13	0	0	NUM
cet-6262	37	14	σ=	σ=	NOUN
cet-6262	37	15	,	,	PUNCT
cet-6262	37	16	then	then	ADV
cet-6262	37	17	from	from	ADP
cet-6262	37	18	(	(	PUNCT
cet-6262	37	19	3	3	X
cet-6262	37	20	)	)	PUNCT
cet-6262	37	21	the	the	DET
cet-6262	37	22	variance	variance	NOUN
cet-6262	37	23	of	of	ADP
cet-6262	37	24	tx	tx	PROPN
cet-6262	37	25	is	be	AUX
cet-6262	37	26	a	a	DET
cet-6262	37	27	constant	constant	ADJ
cet-6262	37	28	.	.	PUNCT
cet-6262	38	1	we	we	PRON
cet-6262	38	2	should	should	AUX
cet-6262	38	3	also	also	ADV
cet-6262	38	4	notice	notice	VERB
cet-6262	38	5	that	that	SCONJ
cet-6262	38	6	this	this	DET
cet-6262	38	7	process	process	NOUN
cet-6262	38	8	has	have	VERB
cet-6262	38	9	the	the	DET
cet-6262	38	10	mean	mean	ADJ
cet-6262	38	11	-	-	PUNCT
cet-6262	38	12	reverting	revert	VERB
cet-6262	38	13	and	and	CCONJ
cet-6262	38	14	gaussian	gaussian	ADJ
cet-6262	38	15	properties	property	NOUN
cet-6262	38	16	.	.	PUNCT
cet-6262	39	1	therefore	therefore	ADV
cet-6262	39	2	it	it	PRON
cet-6262	39	3	can	can	AUX
cet-6262	39	4	be	be	AUX
cet-6262	39	5	a	a	DET
cet-6262	39	6	substitute	substitute	NOUN
cet-6262	39	7	of	of	ADP
cet-6262	39	8	wildly	wildly	ADV
cet-6262	39	9	used	use	VERB
cet-6262	39	10	noiseadded	noiseadde	VERB
cet-6262	39	11	model	model	NOUN
cet-6262	39	12	,	,	PUNCT
cet-6262	39	13	as	as	SCONJ
cet-6262	39	14	it	it	PRON
cet-6262	39	15	reserves	reserve	VERB
cet-6262	39	16	consideration	consideration	NOUN
cet-6262	39	17	of	of	ADP
cet-6262	39	18	fixed	fix	VERB
cet-6262	39	19	-	-	PUNCT
cet-6262	39	20	variance	variance	NOUN
cet-6262	39	21	uncertainty	uncertainty	NOUN
cet-6262	39	22	while	while	SCONJ
cet-6262	39	23	it	it	PRON
cet-6262	39	24	also	also	ADV
cet-6262	39	25	includes	include	VERB
cet-6262	39	26	the	the	DET
cet-6262	39	27	interaction	interaction	NOUN
cet-6262	39	28	of	of	ADP
cet-6262	39	29	uncertainties	uncertainty	NOUN
cet-6262	39	30	at	at	ADP
cet-6262	39	31	different	different	ADJ
cet-6262	39	32	times	time	NOUN
cet-6262	39	33	as	as	SCONJ
cet-6262	39	34	the	the	DET
cet-6262	39	35	covariance	covariance	NOUN
cet-6262	39	36	is	be	AUX
cet-6262	39	37	not	not	PART
cet-6262	39	38	zero	zero	NUM
cet-6262	39	39	.	.	PUNCT
cet-6262	40	1	moreover	moreover	ADV
cet-6262	40	2	even	even	ADV
cet-6262	40	3	0x	0x	NOUN
cet-6262	40	4	is	be	AUX
cet-6262	40	5	arbitrary	arbitrary	ADJ
cet-6262	40	6	,	,	PUNCT
cet-6262	40	7	the	the	DET
cet-6262	40	8	asymptotic	asymptotic	ADJ
cet-6262	40	9	distribution	distribution	NOUN
cet-6262	40	10	of	of	ADP
cet-6262	40	11	tx	tx	PROPN
cet-6262	40	12	is	be	AUX
cet-6262	40	13	gaussian	gaussian	ADJ
cet-6262	40	14	with	with	ADP
cet-6262	40	15	mean	mean	NOUN
cet-6262	40	16	)	)	PUNCT
cet-6262	40	17	(	(	PUNCT
cet-6262	40	18	tm	tm	NOUN
cet-6262	40	19	and	and	CCONJ
cet-6262	40	20	variance	variance	NOUN
cet-6262	40	21	r2/2σ	r2/2σ	NOUN
cet-6262	40	22	.	.	PUNCT
cet-6262	41	1	moreover	moreover	ADV
cet-6262	41	2	,	,	PUNCT
cet-6262	41	3	for	for	SCONJ
cet-6262	41	4	the	the	DET
cet-6262	41	5	process	process	NOUN
cet-6262	41	6	tx	tx	VERB
cet-6262	41	7	,	,	PUNCT
cet-6262	41	8	the	the	DET
cet-6262	41	9	transition	transition	NOUN
cet-6262	41	10	probability	probability	NOUN
cet-6262	41	11	density	density	NOUN
cet-6262	41	12	)	)	PUNCT
cet-6262	41	13	,	,	PUNCT
cet-6262	41	14	|	|	ADV
cet-6262	41	15	,	,	PUNCT
cet-6262	41	16	(:	(:	PROPN
cet-6262	41	17	)	)	PUNCT
cet-6262	41	18	,	,	PUNCT
cet-6262	41	19	(	(	PUNCT
cet-6262	41	20	sytxptxp	sytxptxp	NOUN
cet-6262	41	21	=	=	PRON
cet-6262	41	22	satisfies	satisfy	VERB
cet-6262	41	23	the	the	DET
cet-6262	41	24	fokkerplanck	fokkerplanck	NOUN
cet-6262	41	25	equation	equation	NOUN
cet-6262	41	26	:	:	PUNCT
cet-6262	41	27	,	,	PUNCT
cet-6262	41	28	)	)	PUNCT
cet-6262	41	29	,	,	PUNCT
cet-6262	41	30	(	(	PUNCT
cet-6262	41	31	2	2	NUM
cet-6262	41	32	)	)	PUNCT
cet-6262	41	33	]	]	PUNCT
cet-6262	41	34	)	)	PUNCT
cet-6262	41	35	(	(	PUNCT
cet-6262	41	36	,	,	PUNCT
cet-6262	41	37	(	(	PUNCT
cet-6262	41	38	)	)	PUNCT
cet-6262	41	39	(	(	PUNCT
cet-6262	41	40	'	'	PUNCT
cet-6262	41	41	[	[	NOUN
cet-6262	41	42	)	)	PUNCT
cet-6262	41	43	,	,	PUNCT
cet-6262	41	44	(	(	PUNCT
cet-6262	41	45	2	2	NUM
cet-6262	41	46	22	22	NUM
cet-6262	41	47	x	x	SYM
cet-6262	41	48	txpmxtxrptm	txpmxtxrptm	NOUN
cet-6262	41	49	xt	xt	PROPN
cet-6262	41	50	txp	txp	PROPN
cet-6262	41	51	t	t	PROPN
cet-6262	41	52	∂	∂	NUM
cet-6262	41	53	∂+−−	∂+−−	PROPN
cet-6262	41	54	∂	∂	NOUN
cet-6262	41	55	∂−=	∂−=	PROPN
cet-6262	41	56	∂	∂	NUM
cet-6262	42	1	∂	∂	PROPN
cet-6262	42	2	σ	σ	X
cet-6262	42	3	(	(	PUNCT
cet-6262	42	4	4	4	NUM
cet-6262	42	5	)	)	PUNCT
cet-6262	42	6	where	where	SCONJ
cet-6262	42	7	)	)	PUNCT
cet-6262	42	8	,	,	PUNCT
cet-6262	42	9	-()0,(,0	-()0,(,0	NUM
cet-6262	42	10	)	)	PUNCT
cet-6262	42	11	,	,	PUNCT
cet-6262	42	12	(	(	PUNCT
cet-6262	42	13	yxxptp	yxxptp	NOUN
cet-6262	42	14	δ==±∞	δ==±∞	PROPN
cet-6262	42	15	)	)	PUNCT
cet-6262	42	16	(	(	PUNCT
cet-6262	42	17	⋅δ	⋅δ	PROPN
cet-6262	42	18	is	be	AUX
cet-6262	42	19	the	the	DET
cet-6262	42	20	dirac	dirac	NOUN
cet-6262	42	21	mesure	mesure	NOUN
cet-6262	42	22	concentrated	concentrate	VERB
cet-6262	42	23	at	at	ADP
cet-6262	42	24	y.	y.	PROPN
cet-6262	42	25	and	and	CCONJ
cet-6262	42	26	the	the	DET
cet-6262	42	27	analytic	analytic	ADJ
cet-6262	42	28	answer	answer	NOUN
cet-6262	42	29	to	to	ADP
cet-6262	42	30	(	(	PUNCT
cet-6262	42	31	4	4	NUM
cet-6262	42	32	)	)	PUNCT
cet-6262	42	33	is	be	AUX
cet-6262	42	34	given	give	VERB
cet-6262	42	35	by	by	ADP
cet-6262	42	36	:	:	PUNCT
cet-6262	42	37	)	)	PUNCT
cet-6262	42	38	,	,	PUNCT
cet-6262	42	39	)	)	PUNCT
cet-6262	42	40	,	,	PUNCT
cet-6262	42	41	(	(	PUNCT
cet-6262	42	42	4	4	NUM
cet-6262	42	43	)	)	PUNCT
cet-6262	42	44	)	)	PUNCT
cet-6262	42	45	,	,	PUNCT
cet-6262	42	46	(	(	PUNCT
cet-6262	42	47	(	(	PUNCT
cet-6262	42	48	exp	exp	NOUN
cet-6262	42	49	(	(	PUNCT
cet-6262	42	50	)	)	PUNCT
cet-6262	42	51	,	,	PUNCT
cet-6262	42	52	(	(	PUNCT
cet-6262	42	53	4	4	NUM
cet-6262	42	54	)	)	PUNCT
cet-6262	42	55	,	,	PUNCT
cet-6262	42	56	|	|	ADV
cet-6262	42	57	,	,	PUNCT
cet-6262	42	58	(	(	PUNCT
cet-6262	42	59	2	2	NUM
cet-6262	42	60	)	)	PUNCT
cet-6262	42	61	,	,	PUNCT
cet-6262	42	62	(	(	PUNCT
cet-6262	42	63	)	)	PUNCT
cet-6262	42	64	,	,	PUNCT
cet-6262	42	65	(	(	PUNCT
cet-6262	42	66	st	st	PROPN
cet-6262	42	67	ystxe	ystxe	PROPN
cet-6262	42	68	st	st	PROPN
cet-6262	42	69	esytxp	esytxp	PROPN
cet-6262	42	70	stst	stst	PROPN
cet-6262	42	71	γ	γ	PROPN
cet-6262	42	72	β	β	PROPN
cet-6262	42	73	πγ	πγ	NOUN
cet-6262	42	74	αα	αα	ADP
cet-6262	42	75	−+−=	−+−=	PUNCT
cet-6262	42	76	(	(	PUNCT
cet-6262	42	77	5	5	NUM
cet-6262	42	78	)	)	PUNCT
cet-6262	42	79	where	where	SCONJ
cet-6262	42	80	γβα	γβα	NOUN
cet-6262	42	81	,	,	PUNCT
cet-6262	42	82	,	,	PUNCT
cet-6262	42	83	are	be	AUX
cet-6262	42	84	given	give	VERB
cet-6262	42	85	by	by	ADP
cet-6262	42	86	326	326	NUM
cet-6262	42	87	)	)	PUNCT
cet-6262	42	88	.1))(2(exp	.1))(2(exp	PROPN
cet-6262	42	89	(	(	PUNCT
cet-6262	42	90	2	2	NUM
cet-6262	42	91	)	)	PUNCT
cet-6262	42	92	,	,	PUNCT
cet-6262	42	93	(	(	PUNCT
cet-6262	42	94	)	)	PUNCT
cet-6262	42	95	)	)	PUNCT
cet-6262	42	96	,	,	PUNCT
cet-6262	42	97	(	(	PUNCT
cet-6262	42	98	exp	exp	NOUN
cet-6262	42	99	(	(	PUNCT
cet-6262	42	100	)	)	PUNCT
cet-6262	42	101	(	(	PUNCT
cet-6262	42	102	)	)	PUNCT
cet-6262	42	103	(	(	PUNCT
cet-6262	42	104	)	)	PUNCT
cet-6262	42	105	,	,	PUNCT
cet-6262	42	106	(	(	PUNCT
cet-6262	42	107	)	)	PUNCT
cet-6262	42	108	,	,	PUNCT
cet-6262	42	109	(	(	PUNCT
cet-6262	42	110	)	)	PUNCT
cet-6262	42	111	,	,	PUNCT
cet-6262	42	112	(	(	PUNCT
cet-6262	42	113	2	2	NUM
cet-6262	42	114	−−=	−−=	NOUN
cet-6262	42	115	−−=	−−=	NOUN
cet-6262	42	116	−=	−=	NOUN
cet-6262	42	117	str	str	NOUN
cet-6262	42	118	r	r	PROPN
cet-6262	42	119	st	st	PROPN
cet-6262	42	120	strtmsmst	strtmsmst	PROPN
cet-6262	42	121	strst	strst	PROPN
cet-6262	42	122	σγ	σγ	PROPN
cet-6262	42	123	β	β	X
cet-6262	42	124	α	α	PROPN
cet-6262	42	125	(	(	PUNCT
cet-6262	42	126	6	6	NUM
cet-6262	42	127	)	)	PUNCT
cet-6262	42	128	remarks	remark	VERB
cet-6262	42	129	:	:	PUNCT
cet-6262	42	130	when	when	SCONJ
cet-6262	42	131	the	the	DET
cet-6262	42	132	initial	initial	ADJ
cet-6262	42	133	value	value	NOUN
cet-6262	42	134	is	be	AUX
cet-6262	42	135	a	a	DET
cet-6262	42	136	random	random	ADJ
cet-6262	42	137	variable	variable	NOUN
cet-6262	42	138	,	,	PUNCT
cet-6262	42	139	the	the	DET
cet-6262	42	140	transition	transition	NOUN
cet-6262	42	141	pdf	pdf	NOUN
cet-6262	42	142	from	from	ADP
cet-6262	42	143	0x	0x	PROPN
cet-6262	42	144	is	be	AUX
cet-6262	42	145	an	an	DET
cet-6262	42	146	average	average	NOUN
cet-6262	42	147	of	of	ADP
cet-6262	42	148	(	(	PUNCT
cet-6262	42	149	5	5	NUM
cet-6262	42	150	)	)	PUNCT
cet-6262	42	151	with	with	ADP
cet-6262	42	152	the	the	DET
cet-6262	42	153	form	form	NOUN
cet-6262	42	154	.)()0,|,()0,|	.)()0,|,()0,|	PROPN
cet-6262	42	155	,	,	PUNCT
cet-6262	42	156	(	(	PUNCT
cet-6262	42	157	00	00	PUNCT
cet-6262	43	1	+	+	NUM
cet-6262	43	2	∞	∞	NUM
cet-6262	43	3	∞−	∞−	NOUN
cet-6262	43	4	=	=	SYM
cet-6262	43	5	dyyfytxpxtxp	dyyfytxpxtxp	NOUN
cet-6262	43	6	this	this	PRON
cet-6262	43	7	can	can	AUX
cet-6262	43	8	be	be	AUX
cet-6262	43	9	calculated	calculate	VERB
cet-6262	43	10	numerically	numerically	ADV
cet-6262	43	11	especially	especially	ADV
cet-6262	43	12	when	when	SCONJ
cet-6262	43	13	0x	0x	PROPN
cet-6262	43	14	has	have	VERB
cet-6262	43	15	a	a	DET
cet-6262	43	16	truncated	truncated	ADJ
cet-6262	43	17	distribution	distribution	NOUN
cet-6262	43	18	.	.	PUNCT
cet-6262	44	1	2.3	2.3	NUM
cet-6262	44	2	parameter	parameter	NOUN
cet-6262	44	3	estimation	estimation	NOUN
cet-6262	44	4	in	in	ADP
cet-6262	44	5	this	this	DET
cet-6262	44	6	section	section	NOUN
cet-6262	44	7	we	we	PRON
cet-6262	44	8	will	will	AUX
cet-6262	44	9	state	state	VERB
cet-6262	44	10	how	how	SCONJ
cet-6262	44	11	to	to	PART
cet-6262	44	12	estimate	estimate	VERB
cet-6262	44	13	the	the	DET
cet-6262	44	14	parameters	parameter	NOUN
cet-6262	44	15	in	in	ADP
cet-6262	44	16	(	(	PUNCT
cet-6262	44	17	1	1	NUM
cet-6262	44	18	)	)	PUNCT
cet-6262	44	19	with	with	ADP
cet-6262	44	20	given	give	VERB
cet-6262	44	21	degradation	degradation	NOUN
cet-6262	44	22	data	datum	NOUN
cet-6262	44	23	-	-	PUNCT
cet-6262	44	24	set	set	VERB
cet-6262	44	25	by	by	ADP
cet-6262	44	26	maximum	maximum	ADJ
cet-6262	44	27	likelihood	likelihood	NOUN
cet-6262	44	28	method	method	NOUN
cet-6262	44	29	.	.	PUNCT
cet-6262	45	1	supposing	suppose	VERB
cet-6262	45	2	the	the	DET
cet-6262	45	3	degradation	degradation	NOUN
cet-6262	45	4	records	record	NOUN
cet-6262	45	5	are	be	AUX
cet-6262	45	6	recorded	record	VERB
cet-6262	45	7	on	on	ADP
cet-6262	45	8	n	n	CCONJ
cet-6262	45	9	independent	independent	ADJ
cet-6262	45	10	equipments	equipment	NOUN
cet-6262	45	11	,	,	PUNCT
cet-6262	45	12	the	the	DET
cet-6262	45	13	records	record	NOUN
cet-6262	45	14	are	be	AUX
cet-6262	45	15	noted	note	VERB
cet-6262	45	16	by	by	ADP
cet-6262	45	17	}	}	PUNCT
cet-6262	45	18	0,1|	0,1|	NUM
cet-6262	45	19	)	)	PUNCT
cet-6262	45	20	{	{	PUNCT
cet-6262	45	21	(	(	PUNCT
cet-6262	45	22	,	,	PUNCT
cet-6262	45	23	iijij	iijij	NOUN
cet-6262	45	24	mjnitx	mjnitx	NOUN
cet-6262	45	25	≤≤≤≤	≤≤≤≤	PROPN
cet-6262	45	26	,	,	PUNCT
cet-6262	45	27	where	where	SCONJ
cet-6262	45	28	)	)	PUNCT
cet-6262	45	29	(	(	PUNCT
cet-6262	45	30	,	,	PUNCT
cet-6262	45	31	ijij	ijij	PROPN
cet-6262	45	32	tx	tx	PROPN
cet-6262	45	33	stands	stand	VERB
cet-6262	45	34	for	for	ADP
cet-6262	45	35	the	the	DET
cet-6262	45	36	record	record	NOUN
cet-6262	45	37	at	at	ADP
cet-6262	45	38	the	the	DET
cet-6262	45	39	j	j	PROPN
cet-6262	45	40	th	th	NUM
cet-6262	45	41	time	time	NOUN
cet-6262	45	42	in	in	ADP
cet-6262	45	43	the	the	DET
cet-6262	45	44	i	i	PROPN
cet-6262	45	45	th	th	X
cet-6262	45	46	trajectory	trajectory	NOUN
cet-6262	45	47	.	.	PUNCT
cet-6262	46	1	moreover	moreover	ADV
cet-6262	46	2	there	there	PRON
cet-6262	46	3	exist	exist	VERB
cet-6262	46	4	totally	totally	ADV
cet-6262	46	5	n	n	PRON
cet-6262	46	6	trajectories	trajectory	NOUN
cet-6262	46	7	with	with	ADP
cet-6262	46	8	i	i	PRON
cet-6262	46	9	m	m	VERB
cet-6262	46	10	records	record	NOUN
cet-6262	46	11	in	in	ADP
cet-6262	46	12	the	the	DET
cet-6262	46	13	i	i	PROPN
cet-6262	46	14	th	th	X
cet-6262	46	15	trajectory	trajectory	NOUN
cet-6262	46	16	respectively	respectively	ADV
cet-6262	46	17	,	,	PUNCT
cet-6262	46	18	and	and	CCONJ
cet-6262	46	19	we	we	PRON
cet-6262	46	20	set	set	VERB
cet-6262	46	21	.1,00	.1,00	PROPN
cet-6262	47	1	niti	niti	X
cet-6262	47	2	≤≤=	≤≤=	ADJ
cet-6262	47	3	if	if	SCONJ
cet-6262	47	4	we	we	PRON
cet-6262	47	5	set	set	VERB
cet-6262	47	6	)	)	PUNCT
cet-6262	47	7	(	(	PUNCT
cet-6262	47	8	tm	tm	NOUN
cet-6262	47	9	as	as	ADP
cet-6262	47	10	a	a	DET
cet-6262	47	11	3	3	NUM
cet-6262	47	12	-	-	PUNCT
cet-6262	47	13	parameter	parameter	NOUN
cet-6262	47	14	real	real	ADJ
cet-6262	47	15	function	function	NOUN
cet-6262	47	16	,	,	PUNCT
cet-6262	47	17	e.g.	e.g.	ADV
cet-6262	47	18	0)1)1	0)1)1	PROPN
cet-6262	47	19	(	(	PUNCT
cet-6262	47	20	(	(	PUNCT
cet-6262	47	21	)	)	PUNCT
cet-6262	47	22	(	(	PUNCT
cet-6262	47	23	mtatm	mtatm	PROPN
cet-6262	47	24	b	b	PROPN
cet-6262	47	25	+	+	NOUN
cet-6262	47	26	−+=	−+=	X
cet-6262	47	27	,	,	PUNCT
cet-6262	47	28	then	then	ADV
cet-6262	47	29	(	(	PUNCT
cet-6262	47	30	1	1	X
cet-6262	47	31	)	)	PUNCT
cet-6262	47	32	becomes	become	VERB
cet-6262	47	33	a	a	DET
cet-6262	47	34	5parameter	5parameter	NUM
cet-6262	47	35	model	model	NOUN
cet-6262	47	36	with	with	ADP
cet-6262	47	37	parameter	parameter	NOUN
cet-6262	47	38	)	)	PUNCT
cet-6262	47	39	,	,	PUNCT
cet-6262	47	40	,	,	PUNCT
cet-6262	47	41	,	,	PUNCT
cet-6262	47	42	,	,	PUNCT
cet-6262	47	43	(	(	PUNCT
cet-6262	47	44	0	0	NUM
cet-6262	47	45	σθ	σθ	PROPN
cet-6262	47	46	rmba=	rmba=	PROPN
cet-6262	47	47	.	.	PUNCT
cet-6262	48	1	when	when	SCONJ
cet-6262	48	2	records	record	NOUN
cet-6262	48	3	for	for	ADP
cet-6262	48	4	the	the	DET
cet-6262	48	5	i	i	PROPN
cet-6262	48	6	th	th	X
cet-6262	48	7	trajectory	trajectory	NOUN
cet-6262	48	8	)	)	PUNCT
cet-6262	48	9	(	(	PUNCT
cet-6262	48	10	,	,	PUNCT
cet-6262	48	11	ijij	ijij	PROPN
cet-6262	48	12	tx	tx	PROPN
cet-6262	48	13	are	be	AUX
cet-6262	48	14	given	give	VERB
cet-6262	48	15	,	,	PUNCT
cet-6262	48	16	the	the	DET
cet-6262	48	17	conditional	conditional	ADJ
cet-6262	48	18	pdf	pdf	NOUN
cet-6262	48	19	of	of	ADP
cet-6262	48	20	tx	tx	PROPN
cet-6262	48	21	is	be	AUX
cet-6262	48	22	based	base	VERB
cet-6262	48	23	on	on	ADP
cet-6262	48	24	the	the	DET
cet-6262	48	25	observation	observation	NOUN
cet-6262	48	26	of	of	ADP
cet-6262	48	27	whose	whose	DET
cet-6262	48	28	pdf	pdf	NOUN
cet-6262	48	29	appears	appear	VERB
cet-6262	48	30	as	as	ADP
cet-6262	48	31	a	a	DET
cet-6262	48	32	dirac	dirac	NOUN
cet-6262	48	33	delta	delta	NOUN
cet-6262	48	34	distribution	distribution	NOUN
cet-6262	48	35	,	,	PUNCT
cet-6262	48	36	so	so	SCONJ
cet-6262	48	37	from	from	ADP
cet-6262	48	38	(	(	PUNCT
cet-6262	48	39	5	5	NUM
cet-6262	48	40	)	)	PUNCT
cet-6262	48	41	,	,	PUNCT
cet-6262	48	42	we	we	PRON
cet-6262	48	43	know	know	VERB
cet-6262	48	44	that	that	PRON
cet-6262	48	45	:	:	PUNCT
cet-6262	48	46	)	)	PUNCT
cet-6262	48	47	,	,	PUNCT
cet-6262	48	48	)	)	PUNCT
cet-6262	48	49	,	,	PUNCT
cet-6262	48	50	(	(	PUNCT
cet-6262	48	51	4	4	NUM
cet-6262	48	52	)	)	PUNCT
cet-6262	48	53	)	)	PUNCT
cet-6262	48	54	,	,	PUNCT
cet-6262	48	55	(	(	PUNCT
cet-6262	48	56	(	(	PUNCT
cet-6262	48	57	exp	exp	NOUN
cet-6262	48	58	(	(	PUNCT
cet-6262	48	59	)	)	PUNCT
cet-6262	48	60	,	,	PUNCT
cet-6262	48	61	(	(	PUNCT
cet-6262	48	62	4	4	NUM
cet-6262	48	63	)	)	PUNCT
cet-6262	48	64	,	,	PUNCT
cet-6262	48	65	|	|	ADV
cet-6262	48	66	,	,	PUNCT
cet-6262	48	67	(	(	PUNCT
cet-6262	48	68	)	)	PUNCT
cet-6262	48	69	1	1	NUM
cet-6262	48	70	(	(	PUNCT
cet-6262	48	71	2	2	NUM
cet-6262	48	72	)	)	SYM
cet-6262	48	73	1	1	NUM
cet-6262	48	74	(	(	PUNCT
cet-6262	48	75	)	)	PUNCT
cet-6262	48	76	,	,	PUNCT
cet-6262	48	77	(	(	PUNCT
cet-6262	48	78	)	)	PUNCT
cet-6262	48	79	1	1	NUM
cet-6262	48	80	(	(	PUNCT
cet-6262	48	81	)	)	PUNCT
cet-6262	48	82	1	1	NUM
cet-6262	48	83	(	(	PUNCT
cet-6262	48	84	)	)	PUNCT
cet-6262	48	85	,	,	PUNCT
cet-6262	48	86	(	(	PUNCT
cet-6262	48	87	)	)	PUNCT
cet-6262	48	88	1()1	1()1	NUM
cet-6262	48	89	(	(	PUNCT
cet-6262	48	90	)	)	PUNCT
cet-6262	48	91	1()1	1()1	NUM
cet-6262	48	92	(	(	PUNCT
cet-6262	48	93	ijji	ijji	PROPN
cet-6262	48	94	ijijji	ijijji	NOUN
cet-6262	48	95	tt	tt	PROPN
cet-6262	48	96	ji	ji	PROPN
cet-6262	48	97	ijji	ijji	PROPN
cet-6262	48	98	tt	tt	PROPN
cet-6262	48	99	ijijjiji	ijijjiji	VERB
cet-6262	48	100	tt	tt	PROPN
cet-6262	48	101	xttex	xttex	PROPN
cet-6262	48	102	tt	tt	PROPN
cet-6262	48	103	etxtxp	etxtxp	PROPN
cet-6262	48	104	ijjiijji	ijjiijji	NOUN
cet-6262	49	1	+	+	X
cet-6262	50	1	+	+	PUNCT
cet-6262	50	2	+	+	ADJ
cet-6262	50	3	+	+	ADJ
cet-6262	50	4	+	+	ADJ
cet-6262	50	5	+	+	ADJ
cet-6262	50	6	−+	−+	ADJ
cet-6262	50	7	−=	−=	ADJ
cet-6262	50	8	+	+	PROPN
cet-6262	50	9	+	+	X
cet-6262	50	10	γ	γ	X
cet-6262	50	11	β	β	X
cet-6262	50	12	πγ	πγ	NOUN
cet-6262	50	13	αα	αα	PROPN
cet-6262	50	14	(	(	PUNCT
cet-6262	50	15	7	7	NUM
cet-6262	50	16	)	)	PUNCT
cet-6262	50	17	where	where	SCONJ
cet-6262	50	18	γβα	γβα	NOUN
cet-6262	50	19	,	,	PUNCT
cet-6262	50	20	,	,	PUNCT
cet-6262	50	21	are	be	AUX
cet-6262	50	22	given	give	VERB
cet-6262	50	23	by	by	ADP
cet-6262	50	24	(	(	PUNCT
cet-6262	50	25	6	6	NUM
cet-6262	50	26	)	)	PUNCT
cet-6262	50	27	.	.	PUNCT
cet-6262	50	28	then	then	ADV
cet-6262	50	29	we	we	PRON
cet-6262	50	30	can	can	AUX
cet-6262	50	31	construct	construct	VERB
cet-6262	50	32	the	the	DET
cet-6262	50	33	log	log	NOUN
cet-6262	50	34	-	-	PUNCT
cet-6262	50	35	likelihood	likelihood	NOUN
cet-6262	50	36	function	function	NOUN
cet-6262	50	37	for	for	ADP
cet-6262	50	38	the	the	DET
cet-6262	50	39	i	i	PROPN
cet-6262	50	40	th	th	PROPN
cet-6262	50	41	trajectory	trajectory	NOUN
cet-6262	50	42	as	as	SCONJ
cet-6262	50	43	follows	follow	VERB
cet-6262	50	44	:	:	PUNCT
cet-6262	50	45	.)),,|,(log())|(log()(log	.)),,|,(log())|(log()(log	PROPN
cet-6262	50	46	1	1	NUM
cet-6262	50	47	0	0	NUM
cet-6262	50	48	)	)	PUNCT
cet-6262	50	49	1()1(00	1()1(00	NOUN
cet-6262	50	50	−	−	NOUN
cet-6262	51	1	=	=	PUNCT
cet-6262	52	1	+	+	PROPN
cet-6262	52	2	+	+	ADJ
cet-6262	52	3	+	+	NOUN
cet-6262	52	4	=	=	X
cet-6262	52	5	i	i	NOUN
cet-6262	52	6	m	m	VERB
cet-6262	52	7	j	j	NOUN
cet-6262	52	8	ijijjijiii	ijijjijiii	VERB
cet-6262	52	9	txtxpxfl	txtxpxfl	NOUN
cet-6262	52	10	θθθ	θθθ	NOUN
cet-6262	52	11	(	(	PUNCT
cet-6262	52	12	8)	8)	NUM
cet-6262	52	13	moreover	moreover	ADV
cet-6262	52	14	,	,	PUNCT
cet-6262	52	15	the	the	DET
cet-6262	52	16	log	log	NOUN
cet-6262	52	17	-	-	PUNCT
cet-6262	52	18	likelihood	likelihood	NOUN
cet-6262	52	19	function	function	NOUN
cet-6262	52	20	for	for	ADP
cet-6262	52	21	the	the	DET
cet-6262	52	22	whole	whole	ADJ
cet-6262	52	23	data	data	NOUN
cet-6262	52	24	-	-	PUNCT
cet-6262	52	25	set	set	NOUN
cet-6262	52	26	is	be	AUX
cet-6262	52	27	given	give	VERB
cet-6262	52	28	:	:	PUNCT
cet-6262	52	29	.)),,|,(log())|(log()(log	.)),,|,(log())|(log()(log	NOUN
cet-6262	53	1	1	1	NUM
cet-6262	53	2	1	1	NUM
cet-6262	53	3	0	0	NUM
cet-6262	53	4	)	)	PUNCT
cet-6262	53	5	1()1	1()1	NUM
cet-6262	53	6	(	(	PUNCT
cet-6262	53	7	1	1	NUM
cet-6262	53	8	00	00	NUM
cet-6262	53	9	=	=	SYM
cet-6262	53	10	−	−	PROPN
cet-6262	53	11	=	=	PUNCT
cet-6262	54	1	+	+	PROPN
cet-6262	54	2	+	+	NOUN
cet-6262	54	3	=	=	SYM
cet-6262	54	4	+	+	NOUN
cet-6262	54	5	=	=	SYM
cet-6262	54	6	n	n	PROPN
cet-6262	54	7	i	i	PRON
cet-6262	54	8	m	m	VERB
cet-6262	54	9	j	j	NOUN
cet-6262	54	10	ijijjiji	ijijjiji	PROPN
cet-6262	55	1	n	n	CCONJ
cet-6262	55	2	i	i	PRON
cet-6262	56	1	i	i	PRON
cet-6262	57	1	i	i	PRON
cet-6262	57	2	txtxpxfl	txtxpxfl	VERB
cet-6262	57	3	θθθ	θθθ	NOUN
cet-6262	57	4	(	(	PUNCT
cet-6262	57	5	9	9	NUM
cet-6262	57	6	)	)	PUNCT
cet-6262	57	7	from	from	ADP
cet-6262	57	8	(	(	PUNCT
cet-6262	57	9	9	9	NUM
cet-6262	57	10	)	)	PUNCT
cet-6262	57	11	,	,	PUNCT
cet-6262	57	12	we	we	PRON
cet-6262	57	13	can	can	AUX
cet-6262	57	14	maximize	maximize	VERB
cet-6262	57	15	)	)	PUNCT
cet-6262	57	16	(	(	PUNCT
cet-6262	57	17	log	log	VERB
cet-6262	57	18	θl	θl	NOUN
cet-6262	57	19	to	to	PART
cet-6262	57	20	get	get	VERB
cet-6262	57	21	the	the	DET
cet-6262	57	22	optimal	optimal	ADJ
cet-6262	57	23	estimated	estimate	VERB
cet-6262	57	24	parameters	parameter	NOUN
cet-6262	57	25	.	.	PUNCT
cet-6262	58	1	2.4	2.4	NUM
cet-6262	58	2	residual	residual	ADJ
cet-6262	58	3	useful	useful	ADJ
cet-6262	58	4	life	life	NOUN
cet-6262	58	5	calculation	calculation	NOUN
cet-6262	58	6	various	various	ADJ
cet-6262	58	7	ways	way	NOUN
cet-6262	58	8	exist	exist	VERB
cet-6262	58	9	to	to	PART
cet-6262	58	10	describe	describe	VERB
cet-6262	58	11	a	a	DET
cet-6262	58	12	system	system	NOUN
cet-6262	58	13	failure	failure	NOUN
cet-6262	58	14	.	.	PUNCT
cet-6262	59	1	in	in	ADP
cet-6262	59	2	our	our	PRON
cet-6262	59	3	research	research	NOUN
cet-6262	59	4	,	,	PUNCT
cet-6262	59	5	we	we	PRON
cet-6262	59	6	concentrate	concentrate	VERB
cet-6262	59	7	on	on	ADP
cet-6262	59	8	deterioration	deterioration	NOUN
cet-6262	59	9	phenomenons	phenomenon	NOUN
cet-6262	59	10	,	,	PUNCT
cet-6262	59	11	e.g.	e.g.	ADV
cet-6262	59	12	corrosion	corrosion	NOUN
cet-6262	59	13	,	,	PUNCT
cet-6262	59	14	erosion	erosion	NOUN
cet-6262	59	15	,	,	PUNCT
cet-6262	59	16	crack	crack	VERB
cet-6262	59	17	et	et	NOUN
cet-6262	59	18	al	al	PROPN
cet-6262	59	19	.	.	PROPN
cet-6262	59	20	,	,	PUNCT
cet-6262	59	21	in	in	ADP
cet-6262	59	22	which	which	PRON
cet-6262	59	23	deterioration	deterioration	NOUN
cet-6262	59	24	cumulates	cumulate	VERB
cet-6262	59	25	until	until	SCONJ
cet-6262	59	26	it	it	PRON
cet-6262	59	27	reaches	reach	VERB
cet-6262	59	28	the	the	DET
cet-6262	59	29	material	material	NOUN
cet-6262	59	30	strength	strength	NOUN
cet-6262	59	31	.	.	PUNCT
cet-6262	60	1	so	so	ADV
cet-6262	60	2	we	we	PRON
cet-6262	60	3	will	will	AUX
cet-6262	60	4	consider	consider	VERB
cet-6262	60	5	the	the	DET
cet-6262	60	6	first	first	ADJ
cet-6262	60	7	passage	passage	NOUN
cet-6262	60	8	failure	failure	NOUN
cet-6262	60	9	throughout	throughout	ADP
cet-6262	60	10	:	:	PUNCT
cet-6262	60	11	given	give	VERB
cet-6262	60	12	an	an	DET
cet-6262	60	13	alert	alert	ADJ
cet-6262	60	14	level	level	NOUN
cet-6262	60	15	of	of	ADP
cet-6262	60	16	deterioration	deterioration	NOUN
cet-6262	60	17	,	,	PUNCT
cet-6262	60	18	a	a	DET
cet-6262	60	19	system	system	NOUN
cet-6262	60	20	failure	failure	NOUN
cet-6262	60	21	occurs	occurs	AUX
cet-6262	60	22	once	once	ADV
cet-6262	60	23	accumulating	accumulate	VERB
cet-6262	60	24	deterioration	deterioration	NOUN
cet-6262	60	25	exceeds	exceed	VERB
cet-6262	60	26	the	the	DET
cet-6262	60	27	alert	alert	ADJ
cet-6262	60	28	level	level	NOUN
cet-6262	60	29	.	.	PUNCT
cet-6262	61	1	the	the	DET
cet-6262	61	2	above	above	ADJ
cet-6262	61	3	question	question	NOUN
cet-6262	61	4	is	be	AUX
cet-6262	61	5	essentially	essentially	ADV
cet-6262	61	6	the	the	DET
cet-6262	61	7	classical	classical	ADJ
cet-6262	61	8	first	first	ADJ
cet-6262	61	9	passage	passage	NOUN
cet-6262	61	10	time	time	NOUN
cet-6262	61	11	(	(	PUNCT
cet-6262	61	12	fpt	fpt	NOUN
cet-6262	61	13	)	)	PUNCT
cet-6262	61	14	problem	problem	NOUN
cet-6262	61	15	in	in	ADP
cet-6262	61	16	a	a	DET
cet-6262	61	17	mathematical	mathematical	ADJ
cet-6262	61	18	view	view	NOUN
cet-6262	61	19	.	.	PUNCT
cet-6262	62	1	that	that	PRON
cet-6262	62	2	is	be	AUX
cet-6262	62	3	to	to	PART
cet-6262	62	4	say	say	VERB
cet-6262	62	5	,	,	PUNCT
cet-6262	62	6	if	if	SCONJ
cet-6262	62	7	tx	tx	PROPN
cet-6262	62	8	is	be	AUX
cet-6262	62	9	a	a	DET
cet-6262	62	10	given	give	VERB
cet-6262	62	11	stochastic	stochastic	ADJ
cet-6262	62	12	process	process	NOUN
cet-6262	62	13	,	,	PUNCT
cet-6262	62	14	ω	ω	PROPN
cet-6262	62	15	is	be	AUX
cet-6262	62	16	a	a	DET
cet-6262	62	17	given	give	VERB
cet-6262	62	18	safe	safe	ADJ
cet-6262	62	19	area	area	NOUN
cet-6262	62	20	,	,	PUNCT
cet-6262	62	21	we	we	PRON
cet-6262	62	22	want	want	VERB
cet-6262	62	23	to	to	PART
cet-6262	62	24	investigate	investigate	VERB
cet-6262	62	25	the	the	DET
cet-6262	62	26	first	first	ADJ
cet-6262	62	27	time	time	NOUN
cet-6262	62	28	when	when	SCONJ
cet-6262	62	29	tx	tx	PROPN
cet-6262	62	30	leaves	leave	VERB
cet-6262	62	31	the	the	DET
cet-6262	62	32	area	area	NOUN
cet-6262	62	33	ω	ω	PROPN
cet-6262	62	34	based	base	VERB
cet-6262	62	35	on	on	ADP
cet-6262	62	36	the	the	DET
cet-6262	62	37	present	present	ADJ
cet-6262	62	38	observation	observation	NOUN
cet-6262	62	39	)	)	PUNCT
cet-6262	62	40	,	,	PUNCT
cet-6262	62	41	(	(	PUNCT
cet-6262	62	42	sy	sy	INTJ
cet-6262	62	43	,	,	PUNCT
cet-6262	62	44	i.e.	i.e.	X
cet-6262	62	45	}	}	PUNCT
cet-6262	62	46	.|:{inf	.|:{inf	ADJ
cet-6262	62	47	yxxt	yxxt	NOUN
cet-6262	62	48	strt	strt	NOUN
cet-6262	63	1	=	=	SYM
cet-6262	63	2	ω∉=	ω∉=	PROPN
cet-6262	63	3	+	+	PROPN
cet-6262	63	4	∈	∈	PROPN
cet-6262	63	5	τ	τ	X
cet-6262	63	6	the	the	DET
cet-6262	63	7	residual	residual	ADJ
cet-6262	63	8	useful	useful	ADJ
cet-6262	63	9	life	life	NOUN
cet-6262	63	10	therefore	therefore	ADV
cet-6262	63	11	can	can	AUX
cet-6262	63	12	be	be	AUX
cet-6262	63	13	expressed	express	VERB
cet-6262	63	14	by	by	ADP
cet-6262	63	15	s−τ	s−τ	PROPN
cet-6262	63	16	.	.	PUNCT
cet-6262	64	1	also	also	ADV
cet-6262	64	2	we	we	PRON
cet-6262	64	3	can	can	AUX
cet-6262	64	4	define	define	VERB
cet-6262	64	5	the	the	DET
cet-6262	64	6	reliability	reliability	NOUN
cet-6262	64	7	of	of	ADP
cet-6262	64	8	the	the	DET
cet-6262	64	9	system	system	NOUN
cet-6262	64	10	at	at	ADP
cet-6262	64	11	time	time	NOUN
cet-6262	64	12	t	t	X
cet-6262	64	13	simply	simply	ADV
cet-6262	64	14	by	by	ADP
cet-6262	64	15	)	)	PUNCT
cet-6262	64	16	(	(	PUNCT
cet-6262	64	17	tp	tp	ADP
cet-6262	64	18	>	>	X
cet-6262	64	19	τ	τ	PROPN
cet-6262	64	20	.	.	PUNCT
cet-6262	65	1	here	here	ADV
cet-6262	65	2	we	we	PRON
cet-6262	65	3	just	just	ADV
cet-6262	65	4	consider	consider	VERB
cet-6262	65	5	the	the	DET
cet-6262	65	6	one	one	NUM
cet-6262	65	7	-	-	PUNCT
cet-6262	65	8	dimension	dimension	NOUN
cet-6262	65	9	problem	problem	NOUN
cet-6262	65	10	,	,	PUNCT
cet-6262	65	11	given	give	VERB
cet-6262	65	12	the	the	DET
cet-6262	65	13	boundary	boundary	NOUN
cet-6262	65	14	as	as	ADP
cet-6262	65	15	)	)	PUNCT
cet-6262	65	16	,	,	PUNCT
cet-6262	65	17	(	(	PUNCT
cet-6262	65	18	c	c	X
cet-6262	65	19	)	)	PUNCT
cet-6262	65	20	(	(	PUNCT
cet-6262	65	21	1	1	NUM
cet-6262	65	22	+	+	NOUN
cet-6262	65	23	∈	∈	NOUN
cet-6262	65	24	rtl	rtl	NOUN
cet-6262	65	25	where	where	SCONJ
cet-6262	65	26	the	the	DET
cet-6262	65	27	safe	safe	ADJ
cet-6262	65	28	area	area	NOUN
cet-6262	65	29	is	be	AUX
cet-6262	65	30	supposed	suppose	VERB
cet-6262	65	31	to	to	PART
cet-6262	65	32	be	be	AUX
cet-6262	65	33	)	)	PUNCT
cet-6262	65	34	}	}	PUNCT
cet-6262	65	35	(	(	PUNCT
cet-6262	65	36	{	{	PUNCT
cet-6262	65	37	tlx	tlx	NOUN
cet-6262	65	38	≤=ω	≤=ω	PROPN
cet-6262	65	39	.	.	PUNCT
cet-6262	66	1	therefore	therefore	ADV
cet-6262	66	2	to	to	PART
cet-6262	66	3	derive	derive	VERB
cet-6262	66	4	the	the	DET
cet-6262	66	5	distribution	distribution	NOUN
cet-6262	66	6	function	function	NOUN
cet-6262	66	7	)	)	PUNCT
cet-6262	66	8	,	,	PUNCT
cet-6262	66	9	|	|	NOUN
cet-6262	66	10	)	)	PUNCT
cet-6262	66	11	,	,	PUNCT
cet-6262	66	12	(	(	PUNCT
cet-6262	66	13	(	(	PUNCT
cet-6262	66	14	00	00	NUM
cet-6262	66	15	txttlg	txttlg	NOUN
cet-6262	66	16	for	for	ADP
cet-6262	66	17	the	the	DET
cet-6262	66	18	first	first	ADJ
cet-6262	66	19	passage	passage	NOUN
cet-6262	66	20	time	time	NOUN
cet-6262	66	21	τ	τ	PROPN
cet-6262	66	22	,	,	PUNCT
cet-6262	66	23	based	base	VERB
cet-6262	66	24	on	on	ADP
cet-6262	66	25	the	the	DET
cet-6262	66	26	initial	initial	ADJ
cet-6262	66	27	value	value	NOUN
cet-6262	66	28	)	)	PUNCT
cet-6262	66	29	,	,	PUNCT
cet-6262	66	30	(	(	PUNCT
cet-6262	66	31	00	00	NUM
cet-6262	66	32	tx	tx	INTJ
cet-6262	66	33	,	,	PUNCT
cet-6262	66	34	we	we	PRON
cet-6262	66	35	refer	refer	VERB
cet-6262	66	36	to	to	ADP
cet-6262	66	37	the	the	DET
cet-6262	66	38	numerical	numerical	ADJ
cet-6262	66	39	solution	solution	NOUN
cet-6262	66	40	to	to	ADP
cet-6262	66	41	a	a	DET
cet-6262	66	42	volterra	volterra	NOUN
cet-6262	66	43	integral	integral	ADJ
cet-6262	66	44	equation	equation	NOUN
cet-6262	66	45	of	of	ADP
cet-6262	66	46	second	second	ADJ
cet-6262	66	47	class	class	NOUN
cet-6262	66	48	(	(	PUNCT
cet-6262	66	49	e.	e.	PROPN
cet-6262	66	50	pirozzi	pirozzi	PROPN
cet-6262	66	51	et	et	PROPN
cet-6262	66	52	al	al	PROPN
cet-6262	66	53	.	.	PROPN
cet-6262	66	54	,	,	PUNCT
cet-6262	66	55	2001	2001	NUM
cet-6262	66	56	)	)	PUNCT
cet-6262	66	57	as	as	SCONJ
cet-6262	66	58	follows	follow	VERB
cet-6262	66	59	:	:	PUNCT
cet-6262	66	60	,	,	PUNCT
cet-6262	66	61	)	)	PUNCT
cet-6262	66	62	)	)	PUNCT
cet-6262	66	63	,	,	PUNCT
cet-6262	66	64	(	(	PUNCT
cet-6262	66	65	|),((),|),((2),|),((2),|	|),((),|),((2),|),((2),|	NOUN
cet-6262	66	66	)	)	PUNCT
cet-6262	66	67	,	,	PUNCT
cet-6262	66	68	(	(	PUNCT
cet-6262	66	69	(	(	PUNCT
cet-6262	66	70	0	0	NUM
cet-6262	66	71	000000	000000	NUM
cet-6262	66	72	dssslttlktxsslgtxttlktxttlg	dssslttlktxsslgtxttlktxttlg	PROPN
cet-6262	66	73	t	t	PROPN
cet-6262	66	74	t	t	PROPN
cet-6262	67	1	+	+	PROPN
cet-6262	67	2	−=	−=	X
cet-6262	67	3	(	(	PUNCT
cet-6262	67	4	10	10	NUM
cet-6262	67	5	)	)	PUNCT
cet-6262	67	6	327	327	NUM
cet-6262	67	7	where	where	SCONJ
cet-6262	67	8	)	)	PUNCT
cet-6262	67	9	.,|	.,|	NUM
cet-6262	67	10	)	)	PUNCT
cet-6262	67	11	,	,	PUNCT
cet-6262	67	12	(	(	PUNCT
cet-6262	67	13	(	(	PUNCT
cet-6262	67	14	]	]	X
cet-6262	67	15	)	)	PUNCT
cet-6262	67	16	,	,	PUNCT
cet-6262	67	17	(	(	PUNCT
cet-6262	67	18	2	2	NUM
cet-6262	67	19	)	)	PUNCT
cet-6262	67	20	,	,	PUNCT
cet-6262	67	21	(	(	PUNCT
cet-6262	67	22	)	)	PUNCT
cet-6262	67	23	(	(	PUNCT
cet-6262	67	24	22	22	NUM
cet-6262	67	25	)	)	PUNCT
cet-6262	67	26	(	(	PUNCT
cet-6262	67	27	)	)	PUNCT
cet-6262	67	28	(	(	PUNCT
cet-6262	67	29	'	'	NUM
cet-6262	67	30	)	)	PUNCT
cet-6262	67	31	(	(	PUNCT
cet-6262	67	32	)	)	PUNCT
cet-6262	67	33	(	(	PUNCT
cet-6262	67	34	'	'	PUNCT
cet-6262	67	35	[	[	NOUN
cet-6262	67	36	)	)	PUNCT
cet-6262	67	37	,	,	PUNCT
cet-6262	67	38	|	|	NOUN
cet-6262	67	39	)	)	PUNCT
cet-6262	67	40	,	,	PUNCT
cet-6262	67	41	(	(	PUNCT
cet-6262	67	42	(	(	PUNCT
cet-6262	67	43	)	)	PUNCT
cet-6262	67	44	,	,	PUNCT
cet-6262	67	45	(	(	PUNCT
cet-6262	67	46	)	)	PUNCT
cet-6262	67	47	,	,	PUNCT
cet-6262	67	48	(	(	PUNCT
cet-6262	67	49	2	2	NUM
cet-6262	67	50	syttlp	syttlp	PROPN
cet-6262	67	51	st	st	PROPN
cet-6262	67	52	ystetletrmtmtrltlsyttlk	ystetletrmtmtrltlsyttlk	PROPN
cet-6262	67	53	stst	stst	PROPN
cet-6262	67	54	γ	γ	PROPN
cet-6262	67	55	βσ	βσ	PROPN
cet-6262	67	56	αα	αα	NOUN
cet-6262	67	57	−+−−−+=	−+−−−+=	NOUN
cet-6262	67	58	(	(	PUNCT
cet-6262	67	59	11	11	NUM
cet-6262	67	60	)	)	PUNCT
cet-6262	67	61	with	with	ADP
cet-6262	67	62	the	the	DET
cet-6262	67	63	same	same	ADJ
cet-6262	67	64	notations	notation	NOUN
cet-6262	67	65	as	as	ADP
cet-6262	67	66	in	in	ADP
cet-6262	67	67	equations	equation	NOUN
cet-6262	67	68	(	(	PUNCT
cet-6262	67	69	5	5	NUM
cet-6262	67	70	)	)	PUNCT
cet-6262	67	71	and	and	CCONJ
cet-6262	67	72	(	(	PUNCT
cet-6262	67	73	6	6	NUM
cet-6262	67	74	)	)	PUNCT
cet-6262	67	75	.	.	PUNCT
cet-6262	68	1	then	then	ADV
cet-6262	68	2	equation	equation	NOUN
cet-6262	68	3	(	(	PUNCT
cet-6262	68	4	10	10	NUM
cet-6262	68	5	)	)	PUNCT
cet-6262	68	6	is	be	AUX
cet-6262	68	7	with	with	ADP
cet-6262	68	8	a	a	DET
cet-6262	68	9	non	non	ADJ
cet-6262	68	10	-	-	ADJ
cet-6262	68	11	singular	singular	ADJ
cet-6262	68	12	kernel	kernel	NOUN
cet-6262	68	13	,	,	PUNCT
cet-6262	68	14	and	and	CCONJ
cet-6262	68	15	therefore	therefore	ADV
cet-6262	68	16	can	can	AUX
cet-6262	68	17	be	be	AUX
cet-6262	68	18	numerically	numerically	ADV
cet-6262	68	19	solved	solve	VERB
cet-6262	68	20	by	by	ADP
cet-6262	68	21	several	several	ADJ
cet-6262	68	22	methods	method	NOUN
cet-6262	68	23	,	,	PUNCT
cet-6262	68	24	such	such	ADJ
cet-6262	68	25	as	as	ADP
cet-6262	68	26	compound	compound	NOUN
cet-6262	68	27	trapezoid	trapezoid	NOUN
cet-6262	68	28	formula	formula	NOUN
cet-6262	68	29	with	with	ADP
cet-6262	68	30	the	the	DET
cet-6262	68	31	following	follow	VERB
cet-6262	68	32	form	form	NOUN
cet-6262	68	33	:	:	PUNCT
cet-6262	68	34	)	)	PUNCT
cet-6262	68	35	)	)	PUNCT
cet-6262	68	36	,	,	PUNCT
cet-6262	68	37	(	(	PUNCT
cet-6262	68	38	|),((2),|),((2	|),((2),|),((2	NOUN
cet-6262	68	39	0000	0000	NUM
cet-6262	68	40	1	1	NUM
cet-6262	68	41	1	1	NUM
cet-6262	68	42	0000	0000	NUM
cet-6262	68	43	tjtjltktklkgtxtktklkg	tjtjltktklkgtxtktklkg	PROPN
cet-6262	69	1	k	k	PROPN
cet-6262	69	2	j	j	PROPN
cet-6262	69	3	jk	jk	PROPN
cet-6262	69	4	+	+	PROPN
cet-6262	69	5	δ+δ+δ+δδ++δ+δ−=	δ+δ+δ+δδ++δ+δ−=	VERB
cet-6262	69	6	−	−	PROPN
cet-6262	69	7	=	=	SYM
cet-6262	69	8	,	,	PUNCT
cet-6262	69	9	(	(	PUNCT
cet-6262	69	10	12	12	NUM
cet-6262	69	11	)	)	PUNCT
cet-6262	69	12	where	where	SCONJ
cet-6262	69	13	.,),,|),((,0),,|	.,),,|),((,0),,|	PROPN
cet-6262	69	14	)	)	PUNCT
cet-6262	69	15	,	,	PUNCT
cet-6262	69	16	(	(	PUNCT
cet-6262	69	17	(	(	PUNCT
cet-6262	69	18	0	0	NUM
cet-6262	69	19	0000000	0000000	NUM
cet-6262	70	1	nk	nk	NOUN
cet-6262	70	2	k	k	PROPN
cet-6262	70	3	tttxttlgggtxjtjtlgg	tttxttlgggtxjtjtlgg	PROPN
cet-6262	70	4	kj	kj	PROPN
cet-6262	70	5	∈−=δ==δ+δ+=	∈−=δ==δ+δ+=	ADV
cet-6262	70	6	(	(	PUNCT
cet-6262	70	7	13	13	NUM
cet-6262	70	8	)	)	PUNCT
cet-6262	70	9	remarks	remark	VERB
cet-6262	70	10	:	:	PUNCT
cet-6262	70	11	when	when	SCONJ
cet-6262	70	12	we	we	PRON
cet-6262	70	13	consider	consider	VERB
cet-6262	70	14	the	the	DET
cet-6262	70	15	random	random	ADJ
cet-6262	70	16	initial	initial	ADJ
cet-6262	70	17	value	value	NOUN
cet-6262	70	18	0x	0x	NOUN
cet-6262	70	19	,	,	PUNCT
cet-6262	70	20	)	)	PUNCT
cet-6262	70	21	,	,	PUNCT
cet-6262	70	22	|	|	NOUN
cet-6262	70	23	)	)	PUNCT
cet-6262	70	24	,	,	PUNCT
cet-6262	70	25	(	(	PUNCT
cet-6262	70	26	(	(	PUNCT
cet-6262	70	27	00	00	NUM
cet-6262	70	28	txttlk	txttlk	NOUN
cet-6262	70	29	has	have	VERB
cet-6262	70	30	an	an	DET
cet-6262	70	31	integral	integral	ADJ
cet-6262	70	32	form	form	NOUN
cet-6262	70	33	which	which	PRON
cet-6262	70	34	is	be	AUX
cet-6262	70	35	hard	hard	ADJ
cet-6262	70	36	to	to	PART
cet-6262	70	37	be	be	AUX
cet-6262	70	38	given	give	VERB
cet-6262	70	39	analytically	analytically	ADV
cet-6262	70	40	,	,	PUNCT
cet-6262	70	41	therefore	therefore	ADV
cet-6262	70	42	we	we	PRON
cet-6262	70	43	just	just	ADV
cet-6262	70	44	consider	consider	VERB
cet-6262	70	45	the	the	DET
cet-6262	70	46	pdf	pdf	NOUN
cet-6262	70	47	of	of	ADP
cet-6262	70	48	0x	0x	PROPN
cet-6262	70	49	is	be	AUX
cet-6262	70	50	truncated	truncate	VERB
cet-6262	70	51	in	in	ADP
cet-6262	70	52	the	the	DET
cet-6262	70	53	interval	interval	NOUN
cet-6262	70	54	]	]	PUNCT
cet-6262	70	55	,	,	PUNCT
cet-6262	70	56	[	[	PUNCT
cet-6262	70	57	ba	ba	NOUN
cet-6262	70	58	,	,	PUNCT
cet-6262	70	59	and	and	CCONJ
cet-6262	70	60	therefore	therefore	ADV
cet-6262	70	61	we	we	PRON
cet-6262	70	62	should	should	AUX
cet-6262	70	63	calculate	calculate	VERB
cet-6262	70	64	it	it	PRON
cet-6262	70	65	with	with	ADP
cet-6262	70	66	numerical	numerical	ADJ
cet-6262	70	67	integral	integral	ADJ
cet-6262	70	68	scheme	scheme	NOUN
cet-6262	70	69	,	,	PUNCT
cet-6262	70	70	e.g.	e.g.	ADV
cet-6262	70	71	compound	compound	NOUN
cet-6262	70	72	trapezoid	trapezoid	ADJ
cet-6262	70	73	formula	formula	NOUN
cet-6262	70	74	with	with	ADP
cet-6262	70	75	the	the	DET
cet-6262	70	76	following	follow	VERB
cet-6262	70	77	form	form	NOUN
cet-6262	70	78	:	:	PUNCT
cet-6262	70	79	)	)	PUNCT
cet-6262	70	80	]	]	X
cet-6262	70	81	.(),|	.(),|	PROPN
cet-6262	70	82	)	)	PUNCT
cet-6262	70	83	,	,	PUNCT
cet-6262	70	84	(	(	PUNCT
cet-6262	70	85	(	(	PUNCT
cet-6262	70	86	2	2	NUM
cet-6262	70	87	1)(),|	1)(),|	NUM
cet-6262	70	88	)	)	PUNCT
cet-6262	70	89	,	,	PUNCT
cet-6262	70	90	(	(	PUNCT
cet-6262	70	91	(	(	PUNCT
cet-6262	70	92	2	2	NUM
cet-6262	70	93	1	1	NUM
cet-6262	70	94	)	)	PUNCT
cet-6262	70	95	(	(	PUNCT
cet-6262	70	96	)	)	PUNCT
cet-6262	70	97	,	,	PUNCT
cet-6262	70	98	|	|	NOUN
cet-6262	70	99	)	)	PUNCT
cet-6262	70	100	,	,	PUNCT
cet-6262	70	101	(	(	PUNCT
cet-6262	70	102	(	(	PUNCT
cet-6262	70	103	[	[	X
cet-6262	70	104	)	)	PUNCT
cet-6262	70	105	(	(	PUNCT
cet-6262	70	106	00000000	00000000	NUM
cet-6262	70	107	0000	0000	NUM
cet-6262	70	108	1	1	NUM
cet-6262	70	109	0	0	NUM
cet-6262	70	110	bftbtkhtkhlkaftatkhtkhlk	bftbtkhtkhlkaftatkhtkhlk	NOUN
cet-6262	70	111	jhafjhtjhatkhtkhlkhtk	jhafjhtjhatkhtkhlkhtk	NOUN
cet-6262	71	1	q	q	X
cet-6262	72	1	j	j	PROPN
cet-6262	72	2	q	q	X
cet-6262	73	1	+	+	PROPN
cet-6262	73	2	+	+	ADJ
cet-6262	73	3	+	+	ADJ
cet-6262	73	4	+	+	ADJ
cet-6262	73	5	+	+	ADJ
cet-6262	73	6	+	+	ADJ
cet-6262	73	7	+	+	ADJ
cet-6262	73	8	+	+	ADJ
cet-6262	73	9	+	+	ADJ
cet-6262	73	10	+	+	ADJ
cet-6262	73	11	+	+	NOUN
cet-6262	73	12	=	=	SYM
cet-6262	73	13	−	−	PROPN
cet-6262	73	14	=	=	SYM
cet-6262	73	15	(	(	PUNCT
cet-6262	73	16	14	14	NUM
cet-6262	73	17	)	)	PUNCT
cet-6262	73	18	3	3	NUM
cet-6262	73	19	.	.	X
cet-6262	74	1	study	study	NOUN
cet-6262	74	2	of	of	ADP
cet-6262	74	3	a	a	DET
cet-6262	74	4	real	real	ADJ
cet-6262	74	5	degradation	degradation	NOUN
cet-6262	74	6	case	case	NOUN
cet-6262	74	7	according	accord	VERB
cet-6262	74	8	to	to	ADP
cet-6262	74	9	previous	previous	ADJ
cet-6262	74	10	analysis	analysis	NOUN
cet-6262	74	11	,	,	PUNCT
cet-6262	74	12	in	in	ADP
cet-6262	74	13	the	the	DET
cet-6262	74	14	following	following	NOUN
cet-6262	74	15	we	we	PRON
cet-6262	74	16	consider	consider	VERB
cet-6262	74	17	a	a	DET
cet-6262	74	18	real	real	ADJ
cet-6262	74	19	case	case	NOUN
cet-6262	74	20	study	study	NOUN
cet-6262	74	21	where	where	SCONJ
cet-6262	74	22	the	the	DET
cet-6262	74	23	degradation	degradation	NOUN
cet-6262	74	24	data	data	NOUN
cet-6262	74	25	-	-	PUNCT
cet-6262	74	26	set	set	NOUN
cet-6262	74	27	is	be	AUX
cet-6262	74	28	chosen	choose	VERB
cet-6262	74	29	as	as	ADP
cet-6262	74	30	415	415	NUM
cet-6262	74	31	records	record	NOUN
cet-6262	74	32	of	of	ADP
cet-6262	74	33	degradation	degradation	NOUN
cet-6262	74	34	in	in	ADP
cet-6262	74	35	159	159	NUM
cet-6262	74	36	independent	independent	ADJ
cet-6262	74	37	equipments	equipment	NOUN
cet-6262	74	38	.	.	PUNCT
cet-6262	75	1	and	and	CCONJ
cet-6262	75	2	we	we	PRON
cet-6262	75	3	do	do	VERB
cet-6262	75	4	the	the	DET
cet-6262	75	5	following	follow	VERB
cet-6262	75	6	tests	test	NOUN
cet-6262	75	7	in	in	ADP
cet-6262	75	8	a	a	DET
cet-6262	75	9	personal	personal	ADJ
cet-6262	75	10	computer	computer	NOUN
cet-6262	75	11	with	with	ADP
cet-6262	75	12	r	r	NOUN
cet-6262	75	13	software	software	NOUN
cet-6262	75	14	(	(	PUNCT
cet-6262	75	15	version	version	NOUN
cet-6262	75	16	2.15.1	2.15.1	NUM
cet-6262	75	17	)	)	PUNCT
cet-6262	75	18	.	.	PUNCT
cet-6262	76	1	figure	figure	NOUN
cet-6262	76	2	1	1	NUM
cet-6262	76	3	and	and	CCONJ
cet-6262	76	4	figure	figure	VERB
cet-6262	76	5	2	2	NUM
cet-6262	76	6	express	express	VERB
cet-6262	76	7	the	the	DET
cet-6262	76	8	degradation	degradation	NOUN
cet-6262	76	9	records	record	NOUN
cet-6262	76	10	in	in	ADP
cet-6262	76	11	an	an	DET
cet-6262	76	12	intuitive	intuitive	ADJ
cet-6262	76	13	way	way	NOUN
cet-6262	76	14	,	,	PUNCT
cet-6262	76	15	where	where	SCONJ
cet-6262	76	16	figure	figure	NOUN
cet-6262	76	17	1	1	NUM
cet-6262	76	18	expresses	express	VERB
cet-6262	76	19	the	the	DET
cet-6262	76	20	records	record	NOUN
cet-6262	76	21	of	of	ADP
cet-6262	76	22	degradation	degradation	NOUN
cet-6262	76	23	,	,	PUNCT
cet-6262	76	24	figure	figure	NOUN
cet-6262	76	25	2	2	NUM
cet-6262	76	26	expresses	express	VERB
cet-6262	76	27	the	the	DET
cet-6262	76	28	recorded	record	VERB
cet-6262	76	29	trajectories	trajectory	NOUN
cet-6262	76	30	on	on	ADP
cet-6262	76	31	different	different	ADJ
cet-6262	76	32	equipments	equipment	NOUN
cet-6262	76	33	.	.	PUNCT
cet-6262	77	1	single	single	ADJ
cet-6262	77	2	points	point	NOUN
cet-6262	77	3	in	in	ADP
cet-6262	77	4	figure	figure	NOUN
cet-6262	77	5	2	2	NUM
cet-6262	77	6	mean	mean	VERB
cet-6262	77	7	that	that	SCONJ
cet-6262	77	8	only	only	ADV
cet-6262	77	9	one	one	NUM
cet-6262	77	10	record	record	NOUN
cet-6262	77	11	is	be	AUX
cet-6262	77	12	recorded	record	VERB
cet-6262	77	13	on	on	ADP
cet-6262	77	14	that	that	DET
cet-6262	77	15	equipment	equipment	NOUN
cet-6262	77	16	.	.	PUNCT
cet-6262	78	1	the	the	DET
cet-6262	78	2	measurement	measurement	NOUN
cet-6262	78	3	scale	scale	NOUN
cet-6262	78	4	of	of	ADP
cet-6262	78	5	the	the	DET
cet-6262	78	6	time	time	NOUN
cet-6262	78	7	adopted	adopt	VERB
cet-6262	78	8	here	here	ADV
cet-6262	78	9	is	be	AUX
cet-6262	78	10	1000	1000	NUM
cet-6262	78	11	hours	hour	NOUN
cet-6262	78	12	per	per	ADP
cet-6262	78	13	unit	unit	NOUN
cet-6262	78	14	,	,	PUNCT
cet-6262	78	15	and	and	CCONJ
cet-6262	78	16	the	the	DET
cet-6262	78	17	degradation	degradation	NOUN
cet-6262	78	18	level	level	NOUN
cet-6262	78	19	here	here	ADV
cet-6262	78	20	is	be	AUX
cet-6262	78	21	an	an	DET
cet-6262	78	22	integrated	integrated	ADJ
cet-6262	78	23	index	index	NOUN
cet-6262	78	24	without	without	ADP
cet-6262	78	25	real	real	ADJ
cet-6262	78	26	measurement	measurement	NOUN
cet-6262	78	27	scale	scale	NOUN
cet-6262	78	28	.	.	PUNCT
cet-6262	79	1	figure	figure	NOUN
cet-6262	79	2	1	1	NUM
cet-6262	79	3	:	:	PUNCT
cet-6262	79	4	degradation	degradation	NOUN
cet-6262	79	5	records	record	NOUN
cet-6262	79	6	.	.	PUNCT
cet-6262	80	1	figure	figure	NOUN
cet-6262	80	2	2	2	NUM
cet-6262	80	3	:	:	PUNCT
cet-6262	80	4	recorded	record	VERB
cet-6262	80	5	trajectories	trajectory	NOUN
cet-6262	80	6	on	on	ADP
cet-6262	80	7	each	each	DET
cet-6262	80	8	component	component	NOUN
cet-6262	80	9	.	.	PUNCT
cet-6262	81	1	328	328	NUM
cet-6262	81	2	figure	figure	NOUN
cet-6262	81	3	3	3	NUM
cet-6262	81	4	:	:	PUNCT
cet-6262	81	5	mean	mean	ADJ
cet-6262	81	6	and	and	CCONJ
cet-6262	81	7	standard	standard	ADJ
cet-6262	81	8	variance	variance	NOUN
cet-6262	81	9	.	.	PUNCT
cet-6262	82	1	figure	figure	NOUN
cet-6262	82	2	4	4	NUM
cet-6262	82	3	:	:	PUNCT
cet-6262	82	4	several	several	ADJ
cet-6262	82	5	trajectories	trajectory	NOUN
cet-6262	82	6	of	of	ADP
cet-6262	82	7	the	the	DET
cet-6262	82	8	fitted	fit	VERB
cet-6262	82	9	process	process	NOUN
cet-6262	82	10	.	.	PUNCT
cet-6262	83	1	figure	figure	VERB
cet-6262	83	2	5	5	NUM
cet-6262	83	3	:	:	PUNCT
cet-6262	83	4	probability	probability	NOUN
cet-6262	83	5	density	density	NOUN
cet-6262	83	6	of	of	ADP
cet-6262	83	7	the	the	DET
cet-6262	83	8	first	first	ADJ
cet-6262	83	9	-	-	PUNCT
cet-6262	83	10	passage	passage	NOUN
cet-6262	83	11	failure	failure	NOUN
cet-6262	83	12	time	time	NOUN
cet-6262	83	13	:	:	PUNCT
cet-6262	83	14	red	red	ADJ
cet-6262	83	15	(	(	PUNCT
cet-6262	83	16	12	12	NUM
cet-6262	83	17	)	)	PUNCT
cet-6262	83	18	,	,	PUNCT
cet-6262	83	19	blue(25	blue(25	NOUN
cet-6262	83	20	)	)	PUNCT
cet-6262	83	21	,	,	PUNCT
cet-6262	83	22	black(50	black(50	NOUN
cet-6262	83	23	)	)	PUNCT
cet-6262	83	24	.	.	PUNCT
cet-6262	84	1	figure	figure	VERB
cet-6262	84	2	6	6	NUM
cet-6262	84	3	:	:	PUNCT
cet-6262	84	4	cumulative	cumulative	ADJ
cet-6262	84	5	density	density	NOUN
cet-6262	84	6	of	of	ADP
cet-6262	84	7	the	the	DET
cet-6262	84	8	first	first	ADJ
cet-6262	84	9	-	-	PUNCT
cet-6262	84	10	passage	passage	NOUN
cet-6262	84	11	failure	failure	NOUN
cet-6262	84	12	time	time	NOUN
cet-6262	84	13	:	:	PUNCT
cet-6262	84	14	red	red	ADJ
cet-6262	84	15	(	(	PUNCT
cet-6262	84	16	12	12	NUM
cet-6262	84	17	)	)	PUNCT
cet-6262	84	18	,	,	PUNCT
cet-6262	84	19	blue(25	blue(25	NOUN
cet-6262	84	20	)	)	PUNCT
cet-6262	84	21	,	,	PUNCT
cet-6262	84	22	black(50	black(50	NOUN
cet-6262	84	23	)	)	PUNCT
cet-6262	84	24	.	.	PUNCT
cet-6262	85	1	we	we	PRON
cet-6262	85	2	here	here	ADV
cet-6262	85	3	suppose	suppose	VERB
cet-6262	85	4	that	that	SCONJ
cet-6262	85	5	the	the	DET
cet-6262	85	6	records	record	NOUN
cet-6262	85	7	is	be	AUX
cet-6262	85	8	subject	subject	ADJ
cet-6262	85	9	to	to	ADP
cet-6262	85	10	the	the	DET
cet-6262	85	11	stochastic	stochastic	ADJ
cet-6262	85	12	process	process	NOUN
cet-6262	85	13	defined	define	VERB
cet-6262	85	14	in	in	ADP
cet-6262	85	15	eq	eq	NOUN
cet-6262	85	16	(	(	PUNCT
cet-6262	85	17	1	1	NUM
cet-6262	85	18	)	)	PUNCT
cet-6262	85	19	,	,	PUNCT
cet-6262	85	20	and	and	CCONJ
cet-6262	85	21	a	a	DET
cet-6262	85	22	general	general	ADJ
cet-6262	85	23	description	description	NOUN
cet-6262	85	24	of	of	ADP
cet-6262	85	25	the	the	DET
cet-6262	85	26	chosen	choose	VERB
cet-6262	85	27	model	model	NOUN
cet-6262	85	28	can	can	AUX
cet-6262	85	29	be	be	AUX
cet-6262	85	30	seen	see	VERB
cet-6262	85	31	from	from	ADP
cet-6262	85	32	table	table	NOUN
cet-6262	85	33	1	1	NUM
cet-6262	85	34	.	.	PUNCT
cet-6262	85	35	as	as	SCONJ
cet-6262	85	36	the	the	DET
cet-6262	85	37	initial	initial	ADJ
cet-6262	85	38	information	information	NOUN
cet-6262	85	39	is	be	AUX
cet-6262	85	40	missing	missing	ADJ
cet-6262	85	41	,	,	PUNCT
cet-6262	85	42	we	we	PRON
cet-6262	85	43	here	here	ADV
cet-6262	85	44	suppose	suppose	VERB
cet-6262	85	45	that	that	SCONJ
cet-6262	85	46	initial	initial	ADJ
cet-6262	85	47	value	value	NOUN
cet-6262	85	48	0x	0x	NOUN
cet-6262	85	49	is	be	AUX
cet-6262	85	50	uniformly	uniformly	ADV
cet-6262	85	51	distributed	distribute	VERB
cet-6262	85	52	in	in	ADP
cet-6262	85	53	]	]	X
cet-6262	85	54	12,0	12,0	PROPN
cet-6262	85	55	[	[	PUNCT
cet-6262	85	56	0v	0v	NOUN
cet-6262	85	57	,	,	PUNCT
cet-6262	85	58	where	where	SCONJ
cet-6262	85	59	r	r	NOUN
cet-6262	85	60	v	v	NUM
cet-6262	85	61	2	2	NUM
cet-6262	85	62	2	2	NUM
cet-6262	85	63	0	0	NUM
cet-6262	85	64	σ=	σ=	NOUN
cet-6262	85	65	.	.	PUNCT
cet-6262	86	1	we	we	PRON
cet-6262	86	2	also	also	ADV
cet-6262	86	3	suppose	suppose	VERB
cet-6262	86	4	03)1)1	03)1)1	ADJ
cet-6262	86	5	(	(	PUNCT
cet-6262	86	6	(	(	PUNCT
cet-6262	86	7	)	)	PUNCT
cet-6262	86	8	(	(	PUNCT
cet-6262	86	9	vtatm	vtatm	PROPN
cet-6262	86	10	b	b	PROPN
cet-6262	86	11	+	+	NOUN
cet-6262	86	12	−+=	−+=	X
cet-6262	86	13	,	,	PUNCT
cet-6262	86	14	therefore	therefore	ADV
cet-6262	86	15	(	(	PUNCT
cet-6262	86	16	1	1	X
cet-6262	86	17	)	)	PUNCT
cet-6262	86	18	now	now	ADV
cet-6262	86	19	is	be	AUX
cet-6262	86	20	a	a	DET
cet-6262	86	21	4	4	NUM
cet-6262	86	22	-	-	PUNCT
cet-6262	86	23	parameter	parameter	NOUN
cet-6262	86	24	model	model	NOUN
cet-6262	86	25	with	with	ADP
cet-6262	86	26	parameters	parameter	NOUN
cet-6262	86	27	)	)	PUNCT
cet-6262	86	28	,	,	PUNCT
cet-6262	86	29	,	,	PUNCT
cet-6262	86	30	,	,	PUNCT
cet-6262	86	31	(	(	PUNCT
cet-6262	86	32	rba	rba	PROPN
cet-6262	86	33	σ	σ	PROPN
cet-6262	86	34	.	.	PUNCT
cet-6262	87	1	from	from	ADP
cet-6262	87	2	the	the	DET
cet-6262	87	3	remarks	remark	NOUN
cet-6262	87	4	in	in	ADP
cet-6262	87	5	section	section	NOUN
cet-6262	87	6	2.2	2.2	NUM
cet-6262	87	7	,	,	PUNCT
cet-6262	87	8	the	the	DET
cet-6262	87	9	constructed	construct	VERB
cet-6262	87	10	model	model	NOUN
cet-6262	87	11	is	be	AUX
cet-6262	87	12	a	a	DET
cet-6262	87	13	stochastic	stochastic	ADJ
cet-6262	87	14	process	process	NOUN
cet-6262	87	15	with	with	ADP
cet-6262	87	16	constant	constant	ADJ
cet-6262	87	17	variance	variance	NOUN
cet-6262	87	18	0v	0v	NOUN
cet-6262	87	19	,	,	PUNCT
cet-6262	87	20	mean	mean	INTJ
cet-6262	87	21	)	)	PUNCT
cet-6262	87	22	(	(	PUNCT
cet-6262	87	23	tm	tm	NOUN
cet-6262	87	24	,	,	PUNCT
cet-6262	87	25	and	and	CCONJ
cet-6262	87	26	covariance	covariance	NOUN
cet-6262	87	27	between	between	ADP
cet-6262	87	28	tx	tx	PROPN
cet-6262	87	29	and	and	CCONJ
cet-6262	87	30	sx	sx	PROPN
cet-6262	87	31	is	be	AUX
cet-6262	87	32	tsstrv	tsstrv	PROPN
cet-6262	87	33	≤−−	≤−−	PROPN
cet-6262	87	34	)	)	PUNCT
cet-6262	87	35	)	)	PUNCT
cet-6262	87	36	,	,	PUNCT
cet-6262	87	37	(	(	PUNCT
cet-6262	87	38	exp(0	exp(0	NOUN
cet-6262	87	39	.	.	PUNCT
cet-6262	88	1	table	table	NOUN
cet-6262	88	2	1	1	NUM
cet-6262	88	3	:	:	PUNCT
cet-6262	88	4	general	general	ADJ
cet-6262	88	5	description	description	NOUN
cet-6262	88	6	of	of	ADP
cet-6262	88	7	the	the	DET
cet-6262	88	8	chosen	choose	VERB
cet-6262	88	9	model	model	NOUN
cet-6262	88	10	mean	mean	PROPN
cet-6262	88	11	variance	variance	NOUN
cet-6262	88	12	covariance	covariance	NOUN
cet-6262	88	13	initial	initial	ADJ
cet-6262	88	14	distribution	distribution	NOUN
cet-6262	88	15	unknown	unknown	ADJ
cet-6262	88	16	parameters	parameter	NOUN
cet-6262	88	17	03)1)1	03)1)1	VERB
cet-6262	88	18	(	(	PUNCT
cet-6262	88	19	(	(	PUNCT
cet-6262	88	20	)	)	PUNCT
cet-6262	88	21	(	(	PUNCT
cet-6262	88	22	vta	vta	PROPN
cet-6262	88	23	tm	tm	PROPN
cet-6262	88	24	b	b	PROPN
cet-6262	89	1	+	+	PROPN
cet-6262	89	2	−+	−+	NOUN
cet-6262	89	3	=	=	SYM
cet-6262	89	4	r	r	NOUN
cet-6262	89	5	v	v	NUM
cet-6262	89	6	2	2	NUM
cet-6262	89	7	2	2	NUM
cet-6262	89	8	0	0	NUM
cet-6262	89	9	σ=	σ=	NOUN
cet-6262	89	10	)	)	PUNCT
cet-6262	89	11	)	)	PUNCT
cet-6262	89	12	(	(	PUNCT
cet-6262	89	13	exp(0	exp(0	NOUN
cet-6262	89	14	strv	strv	NOUN
cet-6262	89	15	−−	−−	NOUN
cet-6262	89	16	uniformly	uniformly	ADV
cet-6262	89	17	distributed	distribute	VERB
cet-6262	89	18	in	in	ADP
cet-6262	89	19	]	]	X
cet-6262	89	20	12,0	12,0	PROPN
cet-6262	89	21	[	[	PUNCT
cet-6262	89	22	0v	0v	NOUN
cet-6262	89	23	)	)	PUNCT
cet-6262	89	24	,	,	PUNCT
cet-6262	89	25	,	,	PUNCT
cet-6262	89	26	,	,	PUNCT
cet-6262	89	27	(	(	PUNCT
cet-6262	89	28	rba	rba	PROPN
cet-6262	89	29	σ	σ	PROPN
cet-6262	89	30	329	329	NUM
cet-6262	89	31	using	use	VERB
cet-6262	89	32	the	the	DET
cet-6262	89	33	default	default	NOUN
cet-6262	89	34	nelder	nelder	ADJ
cet-6262	89	35	-	-	PUNCT
cet-6262	89	36	mead	mead	NOUN
cet-6262	89	37	algorithm	algorithm	NOUN
cet-6262	89	38	in	in	ADP
cet-6262	89	39	r	r	NOUN
cet-6262	89	40	with	with	ADP
cet-6262	89	41	the	the	DET
cet-6262	89	42	searching	search	VERB
cet-6262	89	43	start	start	NOUN
cet-6262	89	44	)	)	PUNCT
cet-6262	89	45	1,6,35.1,6.0	1,6,35.1,6.0	NUM
cet-6262	89	46	(	(	PUNCT
cet-6262	89	47	=	=	NOUN
cet-6262	89	48	=	=	SYM
cet-6262	89	49	=	=	SYM
cet-6262	89	50	=	=	X
cet-6262	89	51	rba	rba	PROPN
cet-6262	89	52	σ	σ	NOUN
cet-6262	89	53	and	and	CCONJ
cet-6262	89	54	the	the	DET
cet-6262	89	55	initial	initial	ADJ
cet-6262	89	56	interval	interval	NOUN
cet-6262	89	57	is	be	AUX
cet-6262	89	58	divided	divide	VERB
cet-6262	89	59	to	to	ADP
cet-6262	89	60	1000	1000	NUM
cet-6262	89	61	parts	part	NOUN
cet-6262	89	62	,	,	PUNCT
cet-6262	89	63	the	the	DET
cet-6262	89	64	parameters	parameter	NOUN
cet-6262	89	65	are	be	AUX
cet-6262	89	66	optimized	optimize	VERB
cet-6262	89	67	and	and	CCONJ
cet-6262	89	68	the	the	DET
cet-6262	89	69	results	result	NOUN
cet-6262	89	70	can	can	AUX
cet-6262	89	71	be	be	AUX
cet-6262	89	72	seen	see	VERB
cet-6262	89	73	from	from	ADP
cet-6262	89	74	table	table	NOUN
cet-6262	89	75	2	2	NUM
cet-6262	89	76	,	,	PUNCT
cet-6262	89	77	where	where	SCONJ
cet-6262	89	78	0v	0v	NOUN
cet-6262	89	79	=	=	PROPN
cet-6262	89	80	10.36483	10.36483	NUM
cet-6262	89	81	.	.	PUNCT
cet-6262	90	1	in	in	ADP
cet-6262	90	2	figure	figure	NOUN
cet-6262	90	3	3	3	NUM
cet-6262	90	4	,	,	PUNCT
cet-6262	90	5	the	the	DET
cet-6262	90	6	red	red	ADJ
cet-6262	90	7	curve	curve	NOUN
cet-6262	90	8	is	be	AUX
cet-6262	90	9	the	the	DET
cet-6262	90	10	expression	expression	NOUN
cet-6262	90	11	for	for	ADP
cet-6262	90	12	the	the	DET
cet-6262	90	13	fitted	fit	VERB
cet-6262	90	14	)	)	PUNCT
cet-6262	90	15	(	(	PUNCT
cet-6262	90	16	tm	tm	NOUN
cet-6262	90	17	,	,	PUNCT
cet-6262	90	18	and	and	CCONJ
cet-6262	90	19	the	the	DET
cet-6262	90	20	upper	upper	ADJ
cet-6262	90	21	and	and	CCONJ
cet-6262	90	22	lower	low	ADJ
cet-6262	90	23	blue	blue	ADJ
cet-6262	90	24	curves	curve	NOUN
cet-6262	90	25	express	express	VERB
cet-6262	90	26	0	0	NUM
cet-6262	90	27	)	)	PUNCT
cet-6262	90	28	(	(	PUNCT
cet-6262	90	29	vtm	vtm	PROPN
cet-6262	90	30	±	±	NUM
cet-6262	90	31	respectively	respectively	ADV
cet-6262	90	32	.	.	PUNCT
cet-6262	91	1	the	the	DET
cet-6262	91	2	upper	upper	ADJ
cet-6262	91	3	and	and	CCONJ
cet-6262	91	4	lower	low	ADJ
cet-6262	91	5	black	black	ADJ
cet-6262	91	6	lines	line	NOUN
cet-6262	91	7	are	be	AUX
cet-6262	91	8	for	for	ADP
cet-6262	91	9	03	03	NUM
cet-6262	91	10	)	)	PUNCT
cet-6262	91	11	(	(	PUNCT
cet-6262	91	12	vtm	vtm	PROPN
cet-6262	91	13	±	±	NUM
cet-6262	91	14	.	.	PUNCT
cet-6262	92	1	here	here	ADV
cet-6262	92	2	if	if	SCONJ
cet-6262	92	3	we	we	PRON
cet-6262	92	4	treat	treat	VERB
cet-6262	92	5	tx	tx	PROPN
cet-6262	92	6	as	as	ADP
cet-6262	92	7	a	a	DET
cet-6262	92	8	pure	pure	ADJ
cet-6262	92	9	gaussian	gaussian	ADJ
cet-6262	92	10	process	process	NOUN
cet-6262	92	11	(	(	PUNCT
cet-6262	92	12	the	the	DET
cet-6262	92	13	asymptotic	asymptotic	ADJ
cet-6262	92	14	distribution	distribution	NOUN
cet-6262	92	15	of	of	ADP
cet-6262	92	16	tx	tx	PROPN
cet-6262	92	17	is	be	AUX
cet-6262	92	18	gaussian	gaussian	ADJ
cet-6262	92	19	distributed	distribute	VERB
cet-6262	92	20	)	)	PUNCT
cet-6262	92	21	,	,	PUNCT
cet-6262	92	22	then	then	ADV
cet-6262	92	23	a	a	DET
cet-6262	92	24	single	single	ADJ
cet-6262	92	25	point	point	NOUN
cet-6262	92	26	has	have	VERB
cet-6262	92	27	a	a	DET
cet-6262	92	28	probability	probability	NOUN
cet-6262	92	29	of	of	ADP
cet-6262	92	30	0.692	0.692	NUM
cet-6262	92	31	to	to	PART
cet-6262	92	32	appear	appear	VERB
cet-6262	92	33	in	in	ADP
cet-6262	92	34	the	the	DET
cet-6262	92	35	area	area	NOUN
cet-6262	92	36	between	between	ADP
cet-6262	92	37	2	2	NUM
cet-6262	92	38	blue	blue	ADJ
cet-6262	92	39	curves	curve	NOUN
cet-6262	92	40	,	,	PUNCT
cet-6262	92	41	has	have	VERB
cet-6262	92	42	a	a	DET
cet-6262	92	43	probability	probability	NOUN
cet-6262	92	44	of	of	ADP
cet-6262	92	45	0.999997	0.999997	NUM
cet-6262	92	46	to	to	PART
cet-6262	92	47	appear	appear	VERB
cet-6262	92	48	in	in	ADP
cet-6262	92	49	the	the	DET
cet-6262	92	50	area	area	NOUN
cet-6262	92	51	between	between	ADP
cet-6262	92	52	the	the	DET
cet-6262	92	53	2	2	NUM
cet-6262	92	54	black	black	ADJ
cet-6262	92	55	curves	curve	NOUN
cet-6262	92	56	.	.	PUNCT
cet-6262	93	1	from	from	ADP
cet-6262	93	2	this	this	DET
cet-6262	93	3	probability	probability	NOUN
cet-6262	93	4	view	view	NOUN
cet-6262	93	5	,	,	PUNCT
cet-6262	93	6	figure	figure	VERB
cet-6262	93	7	3	3	NUM
cet-6262	93	8	fits	fit	VERB
cet-6262	93	9	the	the	DET
cet-6262	93	10	hypothesis	hypothesis	NOUN
cet-6262	93	11	on	on	ADP
cet-6262	93	12	the	the	DET
cet-6262	93	13	gaussian	gaussian	ADJ
cet-6262	93	14	property	property	NOUN
cet-6262	93	15	of	of	ADP
cet-6262	93	16	tx	tx	PROPN
cet-6262	93	17	.	.	PUNCT
cet-6262	94	1	figure	figure	VERB
cet-6262	94	2	4	4	NUM
cet-6262	94	3	shows	show	VERB
cet-6262	94	4	several	several	ADJ
cet-6262	94	5	simulated	simulated	ADJ
cet-6262	94	6	trajectories	trajectory	NOUN
cet-6262	94	7	of	of	ADP
cet-6262	94	8	the	the	DET
cet-6262	94	9	fitted	fit	VERB
cet-6262	94	10	process	process	NOUN
cet-6262	94	11	.	.	PUNCT
cet-6262	95	1	table	table	NOUN
cet-6262	95	2	2	2	NUM
cet-6262	95	3	:	:	PUNCT
cet-6262	95	4	fitted	fit	VERB
cet-6262	95	5	parameters	parameter	NOUN
cet-6262	95	6	parameter	parameter	VERB
cet-6262	95	7	a	a	DET
cet-6262	95	8	b	b	PROPN
cet-6262	95	9	σ	σ	NOUN
cet-6262	95	10	r	r	NOUN
cet-6262	95	11	r2	r2	PROPN
cet-6262	95	12	/	/	SYM
cet-6262	95	13	v	v	NOUN
cet-6262	95	14	2	2	NUM
cet-6262	95	15	0	0	NUM
cet-6262	95	16	σ=	σ=	NOUN
cet-6262	95	17	value	value	NOUN
cet-6262	95	18	0.6044493	0.6044493	NUM
cet-6262	95	19	1.3966703	1.3966703	NUM
cet-6262	95	20	2.2810409	2.2810409	NUM
cet-6262	95	21	0.2505040	0.2505040	NUM
cet-6262	95	22	10.38536	10.38536	NUM
cet-6262	95	23	noticing	notice	VERB
cet-6262	95	24	the	the	DET
cet-6262	95	25	technical	technical	ADJ
cet-6262	95	26	procedures	procedure	NOUN
cet-6262	95	27	for	for	ADP
cet-6262	95	28	estimating	estimate	VERB
cet-6262	95	29	mttf	mttf	NOUN
cet-6262	95	30	and	and	CCONJ
cet-6262	95	31	rul	rul	NOUN
cet-6262	95	32	are	be	AUX
cet-6262	95	33	generally	generally	ADV
cet-6262	95	34	identical	identical	ADJ
cet-6262	95	35	,	,	PUNCT
cet-6262	95	36	and	and	CCONJ
cet-6262	95	37	also	also	ADV
cet-6262	95	38	the	the	DET
cet-6262	95	39	difficulty	difficulty	NOUN
cet-6262	95	40	to	to	PART
cet-6262	95	41	estimate	estimate	VERB
cet-6262	95	42	tens	ten	NOUN
cet-6262	95	43	of	of	ADP
cet-6262	95	44	elements	element	NOUN
cet-6262	95	45	’	'	PUNCT
cet-6262	95	46	rul	rul	NOUN
cet-6262	95	47	,	,	PUNCT
cet-6262	95	48	we	we	PRON
cet-6262	95	49	here	here	ADV
cet-6262	95	50	just	just	ADV
cet-6262	95	51	consider	consider	VERB
cet-6262	95	52	to	to	PART
cet-6262	95	53	estimate	estimate	VERB
cet-6262	95	54	the	the	DET
cet-6262	95	55	mttf	mttf	NOUN
cet-6262	95	56	instead	instead	ADV
cet-6262	95	57	.	.	PUNCT
cet-6262	96	1	moreover	moreover	ADV
cet-6262	96	2	here	here	ADV
cet-6262	96	3	instead	instead	ADV
cet-6262	96	4	of	of	ADP
cet-6262	96	5	estimating	estimate	VERB
cet-6262	96	6	one	one	NUM
cet-6262	96	7	equipment	equipment	NOUN
cet-6262	96	8	’s	’s	PART
cet-6262	96	9	mttf	mttf	NOUN
cet-6262	96	10	,	,	PUNCT
cet-6262	96	11	we	we	PRON
cet-6262	96	12	consider	consider	VERB
cet-6262	96	13	the	the	DET
cet-6262	96	14	average	average	ADJ
cet-6262	96	15	mttf	mttf	NOUN
cet-6262	96	16	for	for	ADP
cet-6262	96	17	all	all	DET
cet-6262	96	18	equipments	equipment	NOUN
cet-6262	96	19	.	.	PUNCT
cet-6262	97	1	we	we	PRON
cet-6262	97	2	select	select	VERB
cet-6262	97	3	3	3	NUM
cet-6262	97	4	constant	constant	ADJ
cet-6262	97	5	boundaries	boundary	NOUN
cet-6262	97	6	)	)	PUNCT
cet-6262	97	7	(	(	PUNCT
cet-6262	97	8	tl	tl	PROPN
cet-6262	97	9	:	:	PUNCT
cet-6262	97	10	12	12	NUM
cet-6262	97	11	,	,	PUNCT
cet-6262	97	12	15	15	NUM
cet-6262	97	13	and	and	CCONJ
cet-6262	97	14	20	20	NUM
cet-6262	97	15	,	,	PUNCT
cet-6262	97	16	and	and	CCONJ
cet-6262	97	17	consider	consider	VERB
cet-6262	97	18	the	the	DET
cet-6262	97	19	corresponding	corresponding	ADJ
cet-6262	97	20	first	first	ADJ
cet-6262	97	21	passage	passage	NOUN
cet-6262	97	22	time	time	NOUN
cet-6262	97	23	as	as	ADP
cet-6262	97	24	the	the	DET
cet-6262	97	25	element	element	NOUN
cet-6262	97	26	’s	’s	PART
cet-6262	97	27	failure	failure	NOUN
cet-6262	97	28	time	time	NOUN
cet-6262	97	29	.	.	PUNCT
cet-6262	98	1	in	in	ADP
cet-6262	98	2	figure	figure	NOUN
cet-6262	98	3	5	5	NUM
cet-6262	98	4	,	,	PUNCT
cet-6262	98	5	the	the	DET
cet-6262	98	6	probability	probability	NOUN
cet-6262	98	7	density	density	NOUN
cet-6262	98	8	and	and	CCONJ
cet-6262	98	9	cumulative	cumulative	ADJ
cet-6262	98	10	density	density	NOUN
cet-6262	98	11	function	function	NOUN
cet-6262	98	12	for	for	ADP
cet-6262	98	13	the	the	DET
cet-6262	98	14	first	first	ADJ
cet-6262	98	15	passage	passage	NOUN
cet-6262	98	16	failure	failure	NOUN
cet-6262	98	17	are	be	AUX
cet-6262	98	18	compared	compare	VERB
cet-6262	98	19	,	,	PUNCT
cet-6262	98	20	where	where	SCONJ
cet-6262	98	21	the	the	DET
cet-6262	98	22	red	red	ADJ
cet-6262	98	23	,	,	PUNCT
cet-6262	98	24	blue	blue	ADJ
cet-6262	98	25	,	,	PUNCT
cet-6262	98	26	black	black	ADJ
cet-6262	98	27	curves	curve	NOUN
cet-6262	98	28	stand	stand	VERB
cet-6262	98	29	for	for	ADP
cet-6262	98	30	the	the	DET
cet-6262	98	31	boundaries	boundary	NOUN
cet-6262	98	32	12	12	NUM
cet-6262	98	33	,	,	PUNCT
cet-6262	98	34	15	15	NUM
cet-6262	98	35	,	,	PUNCT
cet-6262	98	36	20	20	NUM
cet-6262	98	37	respectively	respectively	ADV
cet-6262	98	38	.	.	PUNCT
cet-6262	99	1	the	the	DET
cet-6262	99	2	average	average	ADJ
cet-6262	99	3	mttf	mttf	NOUN
cet-6262	99	4	for	for	ADP
cet-6262	99	5	all	all	DET
cet-6262	99	6	equipments	equipment	NOUN
cet-6262	99	7	is	be	AUX
cet-6262	99	8	estimatedand	estimatedand	NOUN
cet-6262	99	9	the	the	DET
cet-6262	99	10	results	result	NOUN
cet-6262	99	11	can	can	AUX
cet-6262	99	12	be	be	AUX
cet-6262	99	13	seen	see	VERB
cet-6262	99	14	from	from	ADP
cet-6262	99	15	table	table	NOUN
cet-6262	99	16	3	3	NUM
cet-6262	99	17	.	.	PUNCT
cet-6262	99	18	table	table	NOUN
cet-6262	99	19	3	3	NUM
cet-6262	99	20	:	:	PUNCT
cet-6262	99	21	mttf	mttf	NOUN
cet-6262	99	22	estimation	estimation	NOUN
cet-6262	99	23	based	base	VERB
cet-6262	99	24	on	on	ADP
cet-6262	99	25	first	first	ADJ
cet-6262	99	26	-	-	PUNCT
cet-6262	99	27	passage	passage	NOUN
cet-6262	99	28	failure	failure	NOUN
cet-6262	99	29	time	time	NOUN
cet-6262	99	30	.	.	PUNCT
cet-6262	100	1	boundary	boundary	ADJ
cet-6262	100	2	l=12	l=12	PROPN
cet-6262	100	3	l=25	l=25	PROPN
cet-6262	100	4	l=50	l=50	PROPN
cet-6262	100	5	mttf	mttf	NOUN
cet-6262	100	6	3.79315	3.79315	NUM
cet-6262	100	7	10.75301	10.75301	NUM
cet-6262	100	8	20.58544	20.58544	NUM
cet-6262	100	9	4	4	NUM
cet-6262	100	10	.	.	PUNCT
cet-6262	100	11	conclusion	conclusion	NOUN
cet-6262	100	12	in	in	ADP
cet-6262	100	13	this	this	DET
cet-6262	100	14	paper	paper	NOUN
cet-6262	100	15	,	,	PUNCT
cet-6262	100	16	we	we	PRON
cet-6262	100	17	presented	present	VERB
cet-6262	100	18	a	a	DET
cet-6262	100	19	time	time	NOUN
cet-6262	100	20	-	-	PUNCT
cet-6262	100	21	dependent	dependent	ADJ
cet-6262	100	22	ornstein	ornstein	PROPN
cet-6262	100	23	-	-	PUNCT
cet-6262	100	24	uhlenbeck	uhlenbeck	PROPN
cet-6262	100	25	process	process	NOUN
cet-6262	100	26	for	for	ADP
cet-6262	100	27	modeling	model	VERB
cet-6262	100	28	degradation	degradation	NOUN
cet-6262	100	29	processes	process	NOUN
cet-6262	100	30	,	,	PUNCT
cet-6262	100	31	with	with	ADP
cet-6262	100	32	which	which	PRON
cet-6262	100	33	the	the	DET
cet-6262	100	34	rul	rul	NOUN
cet-6262	100	35	can	can	AUX
cet-6262	100	36	be	be	AUX
cet-6262	100	37	estimated	estimate	VERB
cet-6262	100	38	.	.	PUNCT
cet-6262	101	1	this	this	DET
cet-6262	101	2	model	model	NOUN
cet-6262	101	3	considers	consider	VERB
cet-6262	101	4	not	not	PART
cet-6262	101	5	only	only	ADV
cet-6262	101	6	the	the	DET
cet-6262	101	7	uncertainty	uncertainty	NOUN
cet-6262	101	8	in	in	ADP
cet-6262	101	9	the	the	DET
cet-6262	101	10	observations	observation	NOUN
cet-6262	101	11	,	,	PUNCT
cet-6262	101	12	but	but	CCONJ
cet-6262	101	13	also	also	ADV
cet-6262	101	14	the	the	DET
cet-6262	101	15	interaction	interaction	NOUN
cet-6262	101	16	of	of	ADP
cet-6262	101	17	the	the	DET
cet-6262	101	18	uncertainties	uncertainty	NOUN
cet-6262	101	19	at	at	ADP
cet-6262	101	20	different	different	ADJ
cet-6262	101	21	times	time	NOUN
cet-6262	101	22	.	.	PUNCT
cet-6262	102	1	another	another	DET
cet-6262	102	2	contribution	contribution	NOUN
cet-6262	102	3	is	be	AUX
cet-6262	102	4	to	to	PART
cet-6262	102	5	add	add	VERB
cet-6262	102	6	the	the	DET
cet-6262	102	7	uncertainty	uncertainty	NOUN
cet-6262	102	8	in	in	ADP
cet-6262	102	9	initial	initial	ADJ
cet-6262	102	10	system	system	NOUN
cet-6262	102	11	state	state	NOUN
cet-6262	102	12	into	into	ADP
cet-6262	102	13	the	the	DET
cet-6262	102	14	modeling	modeling	NOUN
cet-6262	102	15	work	work	NOUN
cet-6262	102	16	.	.	PUNCT
cet-6262	103	1	acknowledgement	acknowledgement	NOUN
cet-6262	103	2	we	we	PRON
cet-6262	103	3	greatly	greatly	ADV
cet-6262	103	4	appreciate	appreciate	VERB
cet-6262	103	5	the	the	DET
cet-6262	103	6	useful	useful	ADJ
cet-6262	103	7	discussion	discussion	NOUN
cet-6262	103	8	with	with	ADP
cet-6262	103	9	prof	prof	PROPN
cet-6262	103	10	.	.	PUNCT
cet-6262	104	1	michel	michel	PROPN
cet-6262	104	2	roussignol	roussignol	PROPN
cet-6262	104	3	in	in	ADP
cet-6262	104	4	university	university	PROPN
cet-6262	104	5	of	of	ADP
cet-6262	104	6	paris	paris	PROPN
cet-6262	104	7	-	-	PUNCT
cet-6262	104	8	est	est	X
cet-6262	104	9	marne	marne	PROPN
cet-6262	104	10	-	-	PUNCT
cet-6262	104	11	levalley	levalley	PROPN
cet-6262	104	12	,	,	PUNCT
cet-6262	104	13	and	and	CCONJ
cet-6262	104	14	also	also	ADV
cet-6262	104	15	the	the	DET
cet-6262	104	16	partial	partial	ADJ
cet-6262	104	17	financial	financial	ADJ
cet-6262	104	18	support	support	NOUN
cet-6262	104	19	from	from	ADP
cet-6262	104	20	china	china	PROPN
cet-6262	104	21	scholarship	scholarship	PROPN
cet-6262	104	22	council	council	PROPN
cet-6262	104	23	.	.	PUNCT
cet-6262	105	1	references	reference	NOUN
cet-6262	105	2	amos	amos	PROPN
cet-6262	105	3	necci	necci	PROPN
cet-6262	105	4	,	,	PUNCT
cet-6262	105	5	giacomo	giacomo	PROPN
cet-6262	105	6	antonioni	antonioni	PROPN
cet-6262	105	7	,	,	PUNCT
cet-6262	105	8	elisabetta	elisabetta	PROPN
cet-6262	105	9	renni	renni	PROPN
cet-6262	105	10	,	,	PUNCT
cet-6262	105	11	valerio	valerio	PROPN
cet-6262	105	12	cozzani	cozzani	PROPN
cet-6262	105	13	,	,	PUNCT
cet-6262	105	14	alberto	alberto	PROPN
cet-6262	105	15	borghettib	borghettib	PROPN
cet-6262	105	16	,	,	PUNCT
cet-6262	105	17	carlo	carlo	PROPN
cet-6262	105	18	alberto	alberto	PROPN
cet-6262	105	19	nuccib	nuccib	PROPN
cet-6262	105	20	and	and	CCONJ
cet-6262	105	21	elisabeth	elisabeth	PROPN
cet-6262	105	22	krausmannc	krausmannc	PROPN
cet-6262	105	23	,	,	PUNCT
cet-6262	105	24	2012	2012	NUM
cet-6262	105	25	,	,	PUNCT
cet-6262	105	26	equipment	equipment	NOUN
cet-6262	105	27	failure	failure	NOUN
cet-6262	105	28	probability	probability	NOUN
cet-6262	105	29	due	due	ADP
cet-6262	105	30	to	to	ADP
cet-6262	105	31	the	the	DET
cet-6262	105	32	impact	impact	NOUN
cet-6262	105	33	of	of	ADP
cet-6262	105	34	lightning	lightning	NOUN
cet-6262	105	35	,	,	PUNCT
cet-6262	105	36	chemical	chemical	NOUN
cet-6262	105	37	engineering	engineering	NOUN
cet-6262	105	38	transactions	transaction	NOUN
cet-6262	105	39	,	,	PUNCT
cet-6262	105	40	26	26	NUM
cet-6262	105	41	,	,	PUNCT
cet-6262	105	42	129	129	NUM
cet-6262	105	43	-	-	SYM
cet-6262	105	44	134	134	NUM
cet-6262	105	45	.	.	PUNCT
cet-6262	106	1	pirrozi	pirrozi	PROPN
cet-6262	106	2	e.	e.	PROPN
cet-6262	106	3	,	,	PUNCT
cet-6262	106	4	di	di	PROPN
cet-6262	106	5	nardo	nardo	PROPN
cet-6262	106	6	e.	e.	PROPN
cet-6262	106	7	,	,	PUNCT
cet-6262	106	8	nobile	nobile	PROPN
cet-6262	106	9	a.	a.	PROPN
cet-6262	106	10	g.	g.	PROPN
cet-6262	106	11	and	and	CCONJ
cet-6262	106	12	ricciardi	ricciardi	PROPN
cet-6262	106	13	l.	l.	PROPN
cet-6262	106	14	m.	m.	PROPN
cet-6262	106	15	,	,	PUNCT
cet-6262	106	16	2001	2001	NUM
cet-6262	106	17	,	,	PUNCT
cet-6262	106	18	a	a	DET
cet-6262	106	19	computational	computational	ADJ
cet-6262	106	20	approach	approach	NOUN
cet-6262	106	21	to	to	ADP
cet-6262	106	22	first	first	ADJ
cet-6262	106	23	-	-	PUNCT
cet-6262	106	24	passage	passage	NOUN
cet-6262	106	25	-	-	PUNCT
cet-6262	106	26	time	time	NOUN
cet-6262	106	27	problems	problem	NOUN
cet-6262	106	28	for	for	ADP
cet-6262	106	29	gauss	gauss	ADJ
cet-6262	106	30	-	-	PUNCT
cet-6262	106	31	markov	markov	NOUN
cet-6262	106	32	processes	process	NOUN
cet-6262	106	33	,	,	PUNCT
cet-6262	106	34	advances	advance	NOUN
cet-6262	106	35	in	in	ADP
cet-6262	106	36	applied	apply	VERB
cet-6262	106	37	probability	probability	NOUN
cet-6262	106	38	,	,	PUNCT
cet-6262	106	39	33(4	33(4	NUM
cet-6262	106	40	)	)	PUNCT
cet-6262	106	41	,	,	PUNCT
cet-6262	106	42	453	453	NUM
cet-6262	106	43	-	-	SYM
cet-6262	106	44	482	482	NUM
cet-6262	106	45	.	.	PUNCT
cet-6262	107	1	sobczyk	sobczyk	NOUN
cet-6262	107	2	k.	k.	PROPN
cet-6262	107	3	,	,	PUNCT
cet-6262	107	4	2004	2004	NUM
cet-6262	107	5	,	,	PUNCT
cet-6262	107	6	fatigue	fatigue	NOUN
cet-6262	107	7	crack	crack	VERB
cet-6262	107	8	growth	growth	NOUN
cet-6262	107	9	in	in	ADP
cet-6262	107	10	random	random	ADJ
cet-6262	107	11	residual	residual	ADJ
cet-6262	107	12	stresss	stresss	NOUN
cet-6262	107	13	,	,	PUNCT
cet-6262	107	14	international	international	ADJ
cet-6262	107	15	journal	journal	NOUN
cet-6262	107	16	of	of	ADP
cet-6262	107	17	fatigue	fatigue	NOUN
cet-6262	107	18	,	,	PUNCT
cet-6262	107	19	26(11	26(11	NUM
cet-6262	107	20	)	)	PUNCT
cet-6262	107	21	,	,	PUNCT
cet-6262	107	22	1179	1179	NUM
cet-6262	107	23	-	-	SYM
cet-6262	107	24	1187	1187	NUM
cet-6262	107	25	.	.	PUNCT
cet-6262	108	1	robert	robert	PROPN
cet-6262	108	2	e.	e.	PROPN
cet-6262	108	3	melchers	melchers	PROPN
cet-6262	108	4	,	,	PUNCT
cet-6262	108	5	1999	1999	NUM
cet-6262	108	6	,	,	PUNCT
cet-6262	108	7	corrosion	corrosion	NOUN
cet-6262	108	8	uncertainty	uncertainty	NOUN
cet-6262	108	9	modeling	model	VERB
cet-6262	108	10	for	for	ADP
cet-6262	108	11	steel	steel	NOUN
cet-6262	108	12	structures	structure	NOUN
cet-6262	108	13	,	,	PUNCT
cet-6262	108	14	journal	journal	NOUN
cet-6262	108	15	of	of	ADP
cet-6262	108	16	constructional	constructional	ADJ
cet-6262	108	17	steel	steel	NOUN
cet-6262	108	18	research	research	NOUN
cet-6262	108	19	,	,	PUNCT
cet-6262	108	20	52(1	52(1	NOUN
cet-6262	108	21	)	)	PUNCT
cet-6262	108	22	,	,	PUNCT
cet-6262	108	23	3	3	NUM
cet-6262	108	24	-	-	SYM
cet-6262	108	25	19	19	NUM
cet-6262	108	26	.	.	PUNCT
cet-6262	109	1	sheng	sheng	NOUN
cet-6262	109	2	-	-	PUNCT
cet-6262	109	3	tsaing	tsae	VERB
cet-6262	109	4	tseng	tseng	PROPN
cet-6262	109	5	and	and	CCONJ
cet-6262	109	6	chien	chien	PROPN
cet-6262	109	7	-	-	PUNCT
cet-6262	109	8	yu	yu	PROPN
cet-6262	109	9	peng	peng	PROPN
cet-6262	109	10	,	,	PUNCT
cet-6262	109	11	2007	2007	NUM
cet-6262	109	12	,	,	PUNCT
cet-6262	109	13	stochastic	stochastic	ADJ
cet-6262	109	14	diffusion	diffusion	NOUN
cet-6262	109	15	modeling	modeling	NOUN
cet-6262	109	16	of	of	ADP
cet-6262	109	17	degradation	degradation	NOUN
cet-6262	109	18	data	datum	NOUN
cet-6262	109	19	,	,	PUNCT
cet-6262	109	20	journal	journal	NOUN
cet-6262	109	21	of	of	ADP
cet-6262	109	22	data	datum	NOUN
cet-6262	109	23	science	science	NOUN
cet-6262	109	24	,	,	PUNCT
cet-6262	109	25	5	5	NUM
cet-6262	109	26	,	,	PUNCT
cet-6262	109	27	315	315	NUM
cet-6262	109	28	-	-	SYM
cet-6262	109	29	333	333	NUM
cet-6262	109	30	.	.	PUNCT
cet-6262	110	1	xiao	xiao	PROPN
cet-6262	110	2	-	-	PUNCT
cet-6262	110	3	sheng	sheng	PROPN
cet-6262	110	4	si	si	PROPN
cet-6262	110	5	,	,	PUNCT
cet-6262	110	6	wenbin	wenbin	PROPN
cet-6262	110	7	wang	wang	PROPN
cet-6262	110	8	,	,	PUNCT
cet-6262	110	9	chang	chang	PROPN
cet-6262	110	10	-	-	PUNCT
cet-6262	110	11	hua	hua	PROPN
cet-6262	110	12	hu	hu	PROPN
cet-6262	110	13	,	,	PUNCT
cet-6262	110	14	donghua	donghua	PROPN
cet-6262	110	15	zhou	zhou	PROPN
cet-6262	110	16	and	and	CCONJ
cet-6262	110	17	micheael	micheael	PROPN
cet-6262	110	18	g.	g.	PROPN
cet-6262	110	19	pecht	pecht	PROPN
cet-6262	110	20	,	,	PUNCT
cet-6262	110	21	2012	2012	NUM
cet-6262	110	22	,	,	PUNCT
cet-6262	110	23	remaining	remain	VERB
cet-6262	110	24	useful	useful	ADJ
cet-6262	110	25	life	life	NOUN
cet-6262	110	26	estimation	estimation	NOUN
cet-6262	110	27	based	base	VERB
cet-6262	110	28	on	on	ADP
cet-6262	110	29	a	a	DET
cet-6262	110	30	nonlinear	nonlinear	ADJ
cet-6262	110	31	diffusion	diffusion	NOUN
cet-6262	110	32	degradation	degradation	NOUN
cet-6262	110	33	process	process	NOUN
cet-6262	110	34	,	,	PUNCT
cet-6262	110	35	ieee	ieee	NOUN
cet-6262	110	36	transactions	transaction	NOUN
cet-6262	110	37	on	on	ADP
cet-6262	110	38	reliability	reliability	NOUN
cet-6262	110	39	,	,	PUNCT
cet-6262	110	40	60(1	60(1	NUM
cet-6262	110	41	)	)	PUNCT
cet-6262	110	42	,	,	PUNCT
cet-6262	110	43	50	50	NUM
cet-6262	110	44	-	-	SYM
cet-6262	110	45	61	61	NUM
cet-6262	110	46	.	.	NOUN
cet-6262	110	47	330	330	NUM