id	sid	tid	token	lemma	pos
ejpam-2310	1	1	compile	compile	NOUN
ejpam-2310	1	2	/	/	SYM
ejpam-2310	1	3	output.dvi	output.dvi	NOUN
ejpam-2310	1	4	european	european	ADJ
ejpam-2310	1	5	journal	journal	NOUN
ejpam-2310	1	6	of	of	ADP
ejpam-2310	1	7	pure	pure	ADJ
ejpam-2310	1	8	and	and	CCONJ
ejpam-2310	1	9	applied	apply	VERB
ejpam-2310	1	10	mathematics	mathematic	NOUN
ejpam-2310	1	11	vol	vol	NOUN
ejpam-2310	1	12	.	.	PROPN
ejpam-2310	1	13	8	8	NUM
ejpam-2310	1	14	,	,	PUNCT
ejpam-2310	1	15	no	no	INTJ
ejpam-2310	1	16	.	.	NOUN
ejpam-2310	1	17	1	1	NUM
ejpam-2310	1	18	,	,	PUNCT
ejpam-2310	1	19	2015	2015	NUM
ejpam-2310	1	20	,	,	PUNCT
ejpam-2310	1	21	1	1	NUM
ejpam-2310	1	22	-	-	SYM
ejpam-2310	1	23	14	14	NUM
ejpam-2310	1	24	issn	issn	PROPN
ejpam-2310	1	25	1307	1307	NUM
ejpam-2310	1	26	-	-	SYM
ejpam-2310	1	27	5543	5543	NUM
ejpam-2310	1	28	–	–	PUNCT
ejpam-2310	1	29	www.ejpam.com	www.ejpam.com	X
ejpam-2310	1	30	exponentiated	exponentiate	VERB
ejpam-2310	1	31	transmuted	transmute	VERB
ejpam-2310	1	32	modified	modified	ADJ
ejpam-2310	1	33	weibull	weibull	NOUN
ejpam-2310	1	34	distribution	distribution	NOUN
ejpam-2310	1	35	manisha	manisha	PROPN
ejpam-2310	1	36	pal1,∗	pal1,∗	PROPN
ejpam-2310	1	37	,	,	PUNCT
ejpam-2310	1	38	montip	montip	VERB
ejpam-2310	1	39	tiensuwan2	tiensuwan2	NOUN
ejpam-2310	1	40	1	1	NUM
ejpam-2310	1	41	department	department	NOUN
ejpam-2310	1	42	of	of	ADP
ejpam-2310	1	43	statistics	statistic	NOUN
ejpam-2310	1	44	,	,	PUNCT
ejpam-2310	1	45	university	university	NOUN
ejpam-2310	1	46	of	of	ADP
ejpam-2310	1	47	calcutta	calcutta	PROPN
ejpam-2310	1	48	,	,	PUNCT
ejpam-2310	1	49	india	india	PROPN
ejpam-2310	1	50	2	2	NUM
ejpam-2310	1	51	department	department	NOUN
ejpam-2310	1	52	of	of	ADP
ejpam-2310	1	53	mathematics	mathematic	NOUN
ejpam-2310	1	54	,	,	PUNCT
ejpam-2310	1	55	faculty	faculty	NOUN
ejpam-2310	1	56	of	of	ADP
ejpam-2310	1	57	science	science	NOUN
ejpam-2310	1	58	,	,	PUNCT
ejpam-2310	1	59	mahidol	mahidol	PROPN
ejpam-2310	1	60	university	university	PROPN
ejpam-2310	1	61	,	,	PUNCT
ejpam-2310	1	62	thailand	thailand	PROPN
ejpam-2310	1	63	abstract	abstract	PROPN
ejpam-2310	1	64	.	.	PUNCT
ejpam-2310	2	1	the	the	DET
ejpam-2310	2	2	paper	paper	NOUN
ejpam-2310	2	3	introduces	introduce	VERB
ejpam-2310	2	4	the	the	DET
ejpam-2310	2	5	exponentiated	exponentiate	VERB
ejpam-2310	2	6	transmuted	transmute	VERB
ejpam-2310	2	7	modified	modified	ADJ
ejpam-2310	2	8	weibull	weibull	NOUN
ejpam-2310	2	9	distribution	distribution	NOUN
ejpam-2310	2	10	,	,	PUNCT
ejpam-2310	2	11	which	which	PRON
ejpam-2310	2	12	contains	contain	VERB
ejpam-2310	2	13	a	a	DET
ejpam-2310	2	14	number	number	NOUN
ejpam-2310	2	15	of	of	ADP
ejpam-2310	2	16	distributions	distribution	NOUN
ejpam-2310	2	17	as	as	ADP
ejpam-2310	2	18	special	special	ADJ
ejpam-2310	2	19	cases	case	NOUN
ejpam-2310	2	20	.	.	PUNCT
ejpam-2310	3	1	the	the	DET
ejpam-2310	3	2	properties	property	NOUN
ejpam-2310	3	3	of	of	ADP
ejpam-2310	3	4	the	the	DET
ejpam-2310	3	5	distribution	distribution	NOUN
ejpam-2310	3	6	are	be	AUX
ejpam-2310	3	7	discussed	discuss	VERB
ejpam-2310	3	8	and	and	CCONJ
ejpam-2310	3	9	explicit	explicit	ADJ
ejpam-2310	3	10	expressions	expression	NOUN
ejpam-2310	3	11	for	for	ADP
ejpam-2310	3	12	the	the	DET
ejpam-2310	3	13	quantiles	quantile	NOUN
ejpam-2310	3	14	,	,	PUNCT
ejpam-2310	3	15	mean	mean	VERB
ejpam-2310	3	16	deviations	deviation	NOUN
ejpam-2310	3	17	and	and	CCONJ
ejpam-2310	3	18	the	the	DET
ejpam-2310	3	19	reliability	reliability	NOUN
ejpam-2310	3	20	are	be	AUX
ejpam-2310	3	21	derived	derive	VERB
ejpam-2310	3	22	.	.	PUNCT
ejpam-2310	4	1	the	the	DET
ejpam-2310	4	2	distribution	distribution	NOUN
ejpam-2310	4	3	and	and	CCONJ
ejpam-2310	4	4	moments	moment	NOUN
ejpam-2310	4	5	of	of	ADP
ejpam-2310	4	6	order	order	NOUN
ejpam-2310	4	7	statistics	statistic	NOUN
ejpam-2310	4	8	are	be	AUX
ejpam-2310	4	9	also	also	ADV
ejpam-2310	4	10	studied	study	VERB
ejpam-2310	4	11	.	.	PUNCT
ejpam-2310	5	1	estimation	estimation	NOUN
ejpam-2310	5	2	of	of	ADP
ejpam-2310	5	3	the	the	DET
ejpam-2310	5	4	model	model	NOUN
ejpam-2310	5	5	parameters	parameter	NOUN
ejpam-2310	5	6	by	by	ADP
ejpam-2310	5	7	the	the	DET
ejpam-2310	5	8	methods	method	NOUN
ejpam-2310	5	9	of	of	ADP
ejpam-2310	5	10	least	least	ADJ
ejpam-2310	5	11	squares	square	NOUN
ejpam-2310	5	12	and	and	CCONJ
ejpam-2310	5	13	maximum	maximum	ADJ
ejpam-2310	5	14	likelihood	likelihood	NOUN
ejpam-2310	5	15	are	be	AUX
ejpam-2310	5	16	discussed	discuss	VERB
ejpam-2310	5	17	.	.	PUNCT
ejpam-2310	6	1	finally	finally	ADV
ejpam-2310	6	2	,	,	PUNCT
ejpam-2310	6	3	the	the	DET
ejpam-2310	6	4	usefulness	usefulness	NOUN
ejpam-2310	6	5	of	of	ADP
ejpam-2310	6	6	the	the	DET
ejpam-2310	6	7	distribution	distribution	NOUN
ejpam-2310	6	8	for	for	ADP
ejpam-2310	6	9	modeling	model	VERB
ejpam-2310	6	10	data	datum	NOUN
ejpam-2310	6	11	is	be	AUX
ejpam-2310	6	12	illustrated	illustrate	VERB
ejpam-2310	6	13	using	use	VERB
ejpam-2310	6	14	real	real	ADJ
ejpam-2310	6	15	data	datum	NOUN
ejpam-2310	6	16	.	.	PUNCT
ejpam-2310	7	1	2010	2010	NUM
ejpam-2310	7	2	mathematics	mathematic	NOUN
ejpam-2310	7	3	subject	subject	NOUN
ejpam-2310	7	4	classifications	classification	NOUN
ejpam-2310	7	5	:	:	PUNCT
ejpam-2310	7	6	90b25	90b25	NUM
ejpam-2310	7	7	;	;	PUNCT
ejpam-2310	7	8	62n05	62n05	NUM
ejpam-2310	7	9	key	key	ADJ
ejpam-2310	7	10	words	word	NOUN
ejpam-2310	7	11	and	and	CCONJ
ejpam-2310	7	12	phrases	phrase	NOUN
ejpam-2310	7	13	:	:	PUNCT
ejpam-2310	7	14	reliability	reliability	NOUN
ejpam-2310	7	15	function	function	NOUN
ejpam-2310	7	16	,	,	PUNCT
ejpam-2310	7	17	moment	moment	NOUN
ejpam-2310	7	18	generating	generate	VERB
ejpam-2310	7	19	function	function	NOUN
ejpam-2310	7	20	,	,	PUNCT
ejpam-2310	7	21	quantiles	quantile	NOUN
ejpam-2310	7	22	,	,	PUNCT
ejpam-2310	7	23	mean	mean	VERB
ejpam-2310	7	24	deviation	deviation	NOUN
ejpam-2310	7	25	,	,	PUNCT
ejpam-2310	7	26	order	order	NOUN
ejpam-2310	7	27	statistics	statistic	NOUN
ejpam-2310	7	28	,	,	PUNCT
ejpam-2310	7	29	least	least	ADJ
ejpam-2310	7	30	square	square	ADJ
ejpam-2310	7	31	estimation	estimation	NOUN
ejpam-2310	7	32	,	,	PUNCT
ejpam-2310	7	33	maximum	maximum	ADJ
ejpam-2310	7	34	likelihood	likelihood	NOUN
ejpam-2310	7	35	estimation	estimation	NOUN
ejpam-2310	7	36	.	.	PUNCT
ejpam-2310	8	1	1	1	X
ejpam-2310	8	2	.	.	X
ejpam-2310	8	3	introduction	introduction	NOUN
ejpam-2310	8	4	modelling	modelling	NOUN
ejpam-2310	8	5	and	and	CCONJ
ejpam-2310	8	6	analysis	analysis	NOUN
ejpam-2310	8	7	of	of	ADP
ejpam-2310	8	8	lifetime	lifetime	NOUN
ejpam-2310	8	9	data	datum	NOUN
ejpam-2310	8	10	have	have	AUX
ejpam-2310	8	11	become	become	VERB
ejpam-2310	8	12	very	very	ADV
ejpam-2310	8	13	crucial	crucial	ADJ
ejpam-2310	8	14	in	in	ADP
ejpam-2310	8	15	different	different	ADJ
ejpam-2310	8	16	areas	area	NOUN
ejpam-2310	8	17	of	of	ADP
ejpam-2310	8	18	research	research	NOUN
ejpam-2310	8	19	,	,	PUNCT
ejpam-2310	8	20	like	like	ADP
ejpam-2310	8	21	engineering	engineering	NOUN
ejpam-2310	8	22	,	,	PUNCT
ejpam-2310	8	23	medicine	medicine	NOUN
ejpam-2310	8	24	,	,	PUNCT
ejpam-2310	8	25	reliability	reliability	NOUN
ejpam-2310	8	26	,	,	PUNCT
ejpam-2310	8	27	etc	etc	X
ejpam-2310	8	28	.	.	X
ejpam-2310	8	29	in	in	ADP
ejpam-2310	8	30	this	this	DET
ejpam-2310	8	31	regard	regard	NOUN
ejpam-2310	8	32	,	,	PUNCT
ejpam-2310	8	33	it	it	PRON
ejpam-2310	8	34	is	be	AUX
ejpam-2310	8	35	observed	observe	VERB
ejpam-2310	8	36	that	that	SCONJ
ejpam-2310	8	37	the	the	DET
ejpam-2310	8	38	weibull	weibull	NOUN
ejpam-2310	8	39	distribution	distribution	NOUN
ejpam-2310	8	40	is	be	AUX
ejpam-2310	8	41	extensively	extensively	ADV
ejpam-2310	8	42	used	use	VERB
ejpam-2310	8	43	as	as	SCONJ
ejpam-2310	8	44	it	it	PRON
ejpam-2310	8	45	is	be	AUX
ejpam-2310	8	46	found	find	VERB
ejpam-2310	8	47	to	to	PART
ejpam-2310	8	48	provide	provide	VERB
ejpam-2310	8	49	reasonable	reasonable	ADJ
ejpam-2310	8	50	fit	fit	NOUN
ejpam-2310	8	51	in	in	ADP
ejpam-2310	8	52	many	many	ADJ
ejpam-2310	8	53	practical	practical	ADJ
ejpam-2310	8	54	situations	situation	NOUN
ejpam-2310	8	55	.	.	PUNCT
ejpam-2310	9	1	attempts	attempt	NOUN
ejpam-2310	9	2	at	at	ADP
ejpam-2310	9	3	generalization	generalization	NOUN
ejpam-2310	9	4	of	of	ADP
ejpam-2310	9	5	the	the	DET
ejpam-2310	9	6	distribution	distribution	NOUN
ejpam-2310	9	7	have	have	AUX
ejpam-2310	9	8	led	lead	VERB
ejpam-2310	9	9	to	to	ADP
ejpam-2310	9	10	the	the	DET
ejpam-2310	9	11	exponentiated	exponentiated	ADJ
ejpam-2310	9	12	weibull	weibull	NOUN
ejpam-2310	9	13	distribution	distribution	NOUN
ejpam-2310	9	14	,	,	PUNCT
ejpam-2310	9	15	the	the	DET
ejpam-2310	9	16	modified	modify	VERB
ejpam-2310	9	17	weibull	weibull	NOUN
ejpam-2310	9	18	distribution	distribution	NOUN
ejpam-2310	9	19	and	and	CCONJ
ejpam-2310	9	20	the	the	DET
ejpam-2310	9	21	exponentiated	exponentiate	VERB
ejpam-2310	9	22	modified	modify	VERB
ejpam-2310	9	23	weibull	weibull	NOUN
ejpam-2310	9	24	distribution	distribution	NOUN
ejpam-2310	9	25	.	.	PUNCT
ejpam-2310	10	1	an	an	DET
ejpam-2310	10	2	interesting	interesting	ADJ
ejpam-2310	10	3	idea	idea	NOUN
ejpam-2310	10	4	of	of	ADP
ejpam-2310	10	5	generalizing	generalize	VERB
ejpam-2310	10	6	a	a	DET
ejpam-2310	10	7	distribution	distribution	NOUN
ejpam-2310	10	8	,	,	PUNCT
ejpam-2310	10	9	which	which	PRON
ejpam-2310	10	10	is	be	AUX
ejpam-2310	10	11	known	know	VERB
ejpam-2310	10	12	in	in	ADP
ejpam-2310	10	13	the	the	DET
ejpam-2310	10	14	literature	literature	NOUN
ejpam-2310	10	15	as	as	ADP
ejpam-2310	10	16	transmutation	transmutation	NOUN
ejpam-2310	10	17	has	have	AUX
ejpam-2310	10	18	been	be	AUX
ejpam-2310	10	19	used	use	VERB
ejpam-2310	10	20	to	to	PART
ejpam-2310	10	21	develop	develop	VERB
ejpam-2310	10	22	further	further	ADJ
ejpam-2310	10	23	distributions	distribution	NOUN
ejpam-2310	10	24	.	.	PUNCT
ejpam-2310	11	1	a	a	DET
ejpam-2310	11	2	random	random	ADJ
ejpam-2310	11	3	variable	variable	NOUN
ejpam-2310	11	4	t	t	PROPN
ejpam-2310	11	5	is	be	AUX
ejpam-2310	11	6	said	say	VERB
ejpam-2310	11	7	to	to	PART
ejpam-2310	11	8	have	have	VERB
ejpam-2310	11	9	a	a	DET
ejpam-2310	11	10	transmuted	transmuted	ADJ
ejpam-2310	11	11	distribution	distribution	NOUN
ejpam-2310	11	12	if	if	SCONJ
ejpam-2310	11	13	its	its	PRON
ejpam-2310	11	14	distribution	distribution	NOUN
ejpam-2310	11	15	function	function	NOUN
ejpam-2310	11	16	is	be	AUX
ejpam-2310	11	17	given	give	VERB
ejpam-2310	11	18	by	by	ADP
ejpam-2310	11	19	z(t	z(t	NOUN
ejpam-2310	11	20	)	)	PUNCT
ejpam-2310	11	21	=	=	SYM
ejpam-2310	11	22	(	(	PUNCT
ejpam-2310	11	23	1+λ)g(t)−λ[g(t)]2	1+λ)g(t)−λ[g(t)]2	NUM
ejpam-2310	11	24	,	,	PUNCT
ejpam-2310	11	25	(	(	PUNCT
ejpam-2310	11	26	1	1	X
ejpam-2310	11	27	)	)	PUNCT
ejpam-2310	11	28	where	where	SCONJ
ejpam-2310	11	29	g(t	g(t	NOUN
ejpam-2310	11	30	)	)	PUNCT
ejpam-2310	11	31	denotes	denote	VERB
ejpam-2310	11	32	the	the	DET
ejpam-2310	11	33	base	base	NOUN
ejpam-2310	11	34	distribution	distribution	NOUN
ejpam-2310	11	35	,	,	PUNCT
ejpam-2310	11	36	and	and	CCONJ
ejpam-2310	11	37	λ	λ	X
ejpam-2310	11	38	∈	∈	PROPN
ejpam-2310	12	1	[	[	X
ejpam-2310	12	2	-1	-1	X
ejpam-2310	12	3	,	,	PUNCT
ejpam-2310	12	4	1	1	X
ejpam-2310	12	5	]	]	PUNCT
ejpam-2310	12	6	denotes	denote	VERB
ejpam-2310	12	7	the	the	DET
ejpam-2310	12	8	transmuting	transmuting	NOUN
ejpam-2310	12	9	parameter	parameter	NOUN
ejpam-2310	12	10	.	.	PUNCT
ejpam-2310	13	1	aryall	aryall	PROPN
ejpam-2310	13	2	and	and	CCONJ
ejpam-2310	13	3	tsokos	tsokos	ADJ
ejpam-2310	14	1	[	[	X
ejpam-2310	14	2	2	2	NUM
ejpam-2310	14	3	]	]	PUNCT
ejpam-2310	14	4	introduced	introduce	VERB
ejpam-2310	14	5	the	the	DET
ejpam-2310	14	6	transmuted	transmuted	ADJ
ejpam-2310	14	7	weibull	weibull	NOUN
ejpam-2310	14	8	distribution	distribution	NOUN
ejpam-2310	14	9	,	,	PUNCT
ejpam-2310	14	10	ebraheim	ebraheim	NOUN
ejpam-2310	15	1	[	[	X
ejpam-2310	15	2	4	4	NUM
ejpam-2310	15	3	]	]	PUNCT
ejpam-2310	15	4	studied	study	VERB
ejpam-2310	15	5	the	the	DET
ejpam-2310	15	6	exponentiated	exponentiated	ADJ
ejpam-2310	15	7	transmuted	transmute	VERB
ejpam-2310	15	8	weibull	weibull	NOUN
ejpam-2310	15	9	distribution	distribution	NOUN
ejpam-2310	15	10	,	,	PUNCT
ejpam-2310	15	11	pal	pal	NOUN
ejpam-2310	15	12	and	and	CCONJ
ejpam-2310	15	13	tiensuwan	tiensuwan	NOUN
ejpam-2310	16	1	[	[	X
ejpam-2310	16	2	7	7	X
ejpam-2310	16	3	]	]	PUNCT
ejpam-2310	16	4	developed	develop	VERB
ejpam-2310	16	5	the	the	DET
ejpam-2310	16	6	beta	beta	NOUN
ejpam-2310	16	7	transmuted	transmute	VERB
ejpam-2310	16	8	weibull	weibull	NOUN
ejpam-2310	16	9	distribution	distribution	NOUN
ejpam-2310	16	10	,	,	PUNCT
ejpam-2310	16	11	khan	khan	PROPN
ejpam-2310	16	12	and	and	CCONJ
ejpam-2310	16	13	king	king	NOUN
ejpam-2310	17	1	[	[	X
ejpam-2310	17	2	6	6	NUM
ejpam-2310	17	3	]	]	PUNCT
ejpam-2310	17	4	investigated	investigate	VERB
ejpam-2310	17	5	the	the	DET
ejpam-2310	17	6	transmuted	transmuted	ADJ
ejpam-2310	17	7	modified	modified	ADJ
ejpam-2310	17	8	∗corresponding	∗corresponde	VERB
ejpam-2310	17	9	author	author	NOUN
ejpam-2310	17	10	.	.	PUNCT
ejpam-2310	18	1	email	email	NOUN
ejpam-2310	18	2	addresses	address	NOUN
ejpam-2310	18	3	:	:	PUNCT
ejpam-2310	18	4	manishapal2@gmail.com	manishapal2@gmail.com	X
ejpam-2310	18	5	(	(	PUNCT
ejpam-2310	18	6	m.	m.	NOUN
ejpam-2310	18	7	pal	pal	NOUN
ejpam-2310	18	8	)	)	PUNCT
ejpam-2310	18	9	,	,	PUNCT
ejpam-2310	18	10	montip.tie@mahidol.ac.th	montip.tie@mahidol.ac.th	PROPN
ejpam-2310	18	11	(	(	PUNCT
ejpam-2310	18	12	m.	m.	NOUN
ejpam-2310	18	13	tiensuwan	tiensuwan	NOUN
ejpam-2310	18	14	)	)	PUNCT
ejpam-2310	18	15	http://www.ejpam.com	http://www.ejpam.com	X
ejpam-2310	19	1	1	1	NUM
ejpam-2310	19	2	c	c	X
ejpam-2310	19	3	©	©	PROPN
ejpam-2310	19	4	2015	2015	NUM
ejpam-2310	19	5	ejpam	ejpam	NOUN
ejpam-2310	19	6	all	all	DET
ejpam-2310	19	7	rights	right	NOUN
ejpam-2310	19	8	reserved	reserve	VERB
ejpam-2310	19	9	.	.	PUNCT
ejpam-2310	20	1	m.	m.	NOUN
ejpam-2310	20	2	pal	pal	NOUN
ejpam-2310	20	3	and	and	CCONJ
ejpam-2310	20	4	m.	m.	NOUN
ejpam-2310	20	5	tiensuwan	tiensuwan	PROPN
ejpam-2310	20	6	/	/	SYM
ejpam-2310	20	7	eur	eur	PROPN
ejpam-2310	20	8	.	.	PUNCT
ejpam-2310	21	1	j.	j.	PROPN
ejpam-2310	21	2	pure	pure	PROPN
ejpam-2310	21	3	appl	appl	PROPN
ejpam-2310	21	4	.	.	PROPN
ejpam-2310	21	5	math	math	PROPN
ejpam-2310	21	6	,	,	PUNCT
ejpam-2310	21	7	8	8	NUM
ejpam-2310	21	8	(	(	PUNCT
ejpam-2310	21	9	2015	2015	NUM
ejpam-2310	21	10	)	)	PUNCT
ejpam-2310	21	11	,	,	PUNCT
ejpam-2310	21	12	1	1	NUM
ejpam-2310	21	13	-	-	SYM
ejpam-2310	21	14	14	14	NUM
ejpam-2310	21	15	2	2	NUM
ejpam-2310	21	16	weibull	weibull	NOUN
ejpam-2310	21	17	distribution	distribution	NOUN
ejpam-2310	21	18	,	,	PUNCT
ejpam-2310	21	19	and	and	CCONJ
ejpam-2310	21	20	ashour	ashour	NOUN
ejpam-2310	21	21	and	and	CCONJ
ejpam-2310	21	22	eltehiwy	eltehiwy	PRON
ejpam-2310	22	1	[	[	X
ejpam-2310	22	2	3	3	NUM
ejpam-2310	22	3	]	]	PUNCT
ejpam-2310	22	4	proposed	propose	VERB
ejpam-2310	22	5	the	the	DET
ejpam-2310	22	6	transmuted	transmute	VERB
ejpam-2310	22	7	exponentiated	exponentiated	ADJ
ejpam-2310	22	8	modified	modify	VERB
ejpam-2310	22	9	weibull	weibull	NOUN
ejpam-2310	22	10	distribution	distribution	NOUN
ejpam-2310	22	11	.	.	PUNCT
ejpam-2310	23	1	in	in	ADP
ejpam-2310	23	2	this	this	DET
ejpam-2310	23	3	paper	paper	NOUN
ejpam-2310	23	4	,	,	PUNCT
ejpam-2310	23	5	we	we	PRON
ejpam-2310	23	6	introduce	introduce	VERB
ejpam-2310	23	7	and	and	CCONJ
ejpam-2310	23	8	study	study	VERB
ejpam-2310	23	9	several	several	ADJ
ejpam-2310	23	10	mathematical	mathematical	ADJ
ejpam-2310	23	11	properties	property	NOUN
ejpam-2310	23	12	of	of	ADP
ejpam-2310	23	13	a	a	DET
ejpam-2310	23	14	new	new	ADJ
ejpam-2310	23	15	reliability	reliability	NOUN
ejpam-2310	23	16	model	model	NOUN
ejpam-2310	23	17	referred	refer	VERB
ejpam-2310	23	18	to	to	ADP
ejpam-2310	23	19	as	as	SCONJ
ejpam-2310	23	20	the	the	DET
ejpam-2310	23	21	exponentiated	exponentiated	ADJ
ejpam-2310	23	22	transmuted	transmute	VERB
ejpam-2310	23	23	modified	modified	ADJ
ejpam-2310	23	24	weibull	weibull	NOUN
ejpam-2310	23	25	distribution	distribution	NOUN
ejpam-2310	23	26	.	.	PUNCT
ejpam-2310	24	1	the	the	DET
ejpam-2310	24	2	modified	modify	VERB
ejpam-2310	24	3	weibull	weibull	NOUN
ejpam-2310	24	4	distribution	distribution	NOUN
ejpam-2310	24	5	,	,	PUNCT
ejpam-2310	24	6	introduced	introduce	VERB
ejpam-2310	24	7	by	by	ADP
ejpam-2310	24	8	sarhan	sarhan	ADV
ejpam-2310	24	9	and	and	CCONJ
ejpam-2310	24	10	zaindin	zaindin	X
ejpam-2310	25	1	[	[	X
ejpam-2310	25	2	8	8	NUM
ejpam-2310	25	3	]	]	PUNCT
ejpam-2310	25	4	,	,	PUNCT
ejpam-2310	25	5	has	have	VERB
ejpam-2310	25	6	the	the	DET
ejpam-2310	25	7	cumulative	cumulative	ADJ
ejpam-2310	25	8	distribution	distribution	NOUN
ejpam-2310	25	9	function	function	NOUN
ejpam-2310	25	10	(	(	PUNCT
ejpam-2310	25	11	c.d.f	c.d.f	NOUN
ejpam-2310	25	12	.	.	PUNCT
ejpam-2310	25	13	)	)	PUNCT
ejpam-2310	25	14	fmw	fmw	NOUN
ejpam-2310	25	15	(	(	PUNCT
ejpam-2310	25	16	t	t	NOUN
ejpam-2310	25	17	)	)	PUNCT
ejpam-2310	25	18	=	=	SYM
ejpam-2310	25	19	1−	1−	NUM
ejpam-2310	25	20	ex	ex	NOUN
ejpam-2310	25	21	p(−αt	p(−αt	NOUN
ejpam-2310	25	22	−	−	PROPN
ejpam-2310	25	23	γtβ	γtβ	NOUN
ejpam-2310	25	24	)	)	PUNCT
ejpam-2310	25	25	,	,	PUNCT
ejpam-2310	25	26	t	t	PROPN
ejpam-2310	25	27	≥	≥	PROPN
ejpam-2310	25	28	0,α	0,α	PROPN
ejpam-2310	25	29	,	,	PUNCT
ejpam-2310	25	30	β	β	X
ejpam-2310	25	31	,	,	PUNCT
ejpam-2310	25	32	γ	γ	X
ejpam-2310	25	33	>	>	X
ejpam-2310	25	34	0	0	NUM
ejpam-2310	25	35	.	.	PUNCT
ejpam-2310	26	1	(	(	PUNCT
ejpam-2310	26	2	2	2	X
ejpam-2310	26	3	)	)	PUNCT
ejpam-2310	26	4	the	the	DET
ejpam-2310	26	5	c.d.f	c.d.f	NOUN
ejpam-2310	26	6	.	.	PUNCT
ejpam-2310	26	7	of	of	ADP
ejpam-2310	26	8	the	the	DET
ejpam-2310	26	9	transmuted	transmuted	ADJ
ejpam-2310	26	10	modified	modify	VERB
ejpam-2310	26	11	weibull	weibull	NOUN
ejpam-2310	26	12	distribution	distribution	NOUN
ejpam-2310	26	13	[	[	X
ejpam-2310	26	14	6	6	NUM
ejpam-2310	26	15	]	]	PUNCT
ejpam-2310	26	16	is	be	AUX
ejpam-2310	26	17	given	give	VERB
ejpam-2310	26	18	by	by	ADP
ejpam-2310	26	19	ft	ft	PART
ejpam-2310	26	20	mw	mw	X
ejpam-2310	26	21	(	(	PUNCT
ejpam-2310	26	22	t	t	NOUN
ejpam-2310	26	23	)	)	PUNCT
ejpam-2310	26	24	=	=	PUNCT
ejpam-2310	27	1	[	[	X
ejpam-2310	27	2	1−	1−	NUM
ejpam-2310	27	3	ex	ex	NOUN
ejpam-2310	27	4	p(−αt	p(−αt	NOUN
ejpam-2310	27	5	−	−	PROPN
ejpam-2310	27	6	γtβ	γtβ	NOUN
ejpam-2310	27	7	)	)	PUNCT
ejpam-2310	27	8	]	]	PUNCT
ejpam-2310	28	1	[	[	X
ejpam-2310	28	2	1+λex	1+λex	NUM
ejpam-2310	28	3	p(−αt	p(−αt	NOUN
ejpam-2310	28	4	−	−	PROPN
ejpam-2310	28	5	γtβ	γtβ	NOUN
ejpam-2310	28	6	)	)	PUNCT
ejpam-2310	28	7	]	]	PUNCT
ejpam-2310	28	8	,	,	PUNCT
ejpam-2310	28	9	t	t	PROPN
ejpam-2310	28	10	≥	≥	PROPN
ejpam-2310	28	11	0,α	0,α	PROPN
ejpam-2310	28	12	,	,	PUNCT
ejpam-2310	28	13	β	β	X
ejpam-2310	28	14	,	,	PUNCT
ejpam-2310	28	15	γ	γ	X
ejpam-2310	28	16	>	>	X
ejpam-2310	28	17	0	0	NUM
ejpam-2310	28	18	.	.	PUNCT
ejpam-2310	28	19	(	(	PUNCT
ejpam-2310	28	20	3	3	X
ejpam-2310	28	21	)	)	PUNCT
ejpam-2310	28	22	the	the	DET
ejpam-2310	28	23	above	above	ADJ
ejpam-2310	28	24	distribution	distribution	NOUN
ejpam-2310	28	25	has	have	VERB
ejpam-2310	28	26	three	three	NUM
ejpam-2310	28	27	shape	shape	NOUN
ejpam-2310	28	28	parameters	parameter	NOUN
ejpam-2310	28	29	α	α	NOUN
ejpam-2310	28	30	,	,	PUNCT
ejpam-2310	28	31	β	β	X
ejpam-2310	28	32	and	and	CCONJ
ejpam-2310	28	33	γ	γ	X
ejpam-2310	28	34	,	,	PUNCT
ejpam-2310	28	35	and	and	CCONJ
ejpam-2310	28	36	λ	λ	PROPN
ejpam-2310	28	37	denotes	denote	VERB
ejpam-2310	28	38	the	the	DET
ejpam-2310	28	39	transmuting	transmuting	NOUN
ejpam-2310	28	40	parameter	parameter	NOUN
ejpam-2310	28	41	.	.	PUNCT
ejpam-2310	29	1	the	the	DET
ejpam-2310	29	2	exponentiated	exponentiated	ADJ
ejpam-2310	29	3	transmuted	transmute	VERB
ejpam-2310	29	4	modified	modified	ADJ
ejpam-2310	29	5	weibull	weibull	NOUN
ejpam-2310	29	6	distribution	distribution	NOUN
ejpam-2310	29	7	generalizes	generalize	VERB
ejpam-2310	29	8	this	this	DET
ejpam-2310	29	9	distribution	distribution	NOUN
ejpam-2310	29	10	by	by	ADP
ejpam-2310	29	11	introducing	introduce	VERB
ejpam-2310	29	12	another	another	DET
ejpam-2310	29	13	shape	shape	NOUN
ejpam-2310	29	14	parameter	parameter	NOUN
ejpam-2310	29	15	.	.	PUNCT
ejpam-2310	30	1	the	the	DET
ejpam-2310	30	2	paper	paper	NOUN
ejpam-2310	30	3	is	be	AUX
ejpam-2310	30	4	organized	organize	VERB
ejpam-2310	30	5	as	as	SCONJ
ejpam-2310	30	6	follows	follow	VERB
ejpam-2310	30	7	.	.	PUNCT
ejpam-2310	31	1	in	in	ADP
ejpam-2310	31	2	section	section	NOUN
ejpam-2310	31	3	2	2	NUM
ejpam-2310	31	4	we	we	PRON
ejpam-2310	31	5	introduce	introduce	VERB
ejpam-2310	31	6	the	the	DET
ejpam-2310	31	7	distribution	distribution	NOUN
ejpam-2310	31	8	.	.	PUNCT
ejpam-2310	32	1	in	in	ADP
ejpam-2310	32	2	sections	section	NOUN
ejpam-2310	32	3	3	3	NUM
ejpam-2310	32	4	,	,	PUNCT
ejpam-2310	32	5	we	we	PRON
ejpam-2310	32	6	obtain	obtain	VERB
ejpam-2310	32	7	the	the	DET
ejpam-2310	32	8	quantile	quantile	ADJ
ejpam-2310	32	9	function	function	NOUN
ejpam-2310	32	10	of	of	ADP
ejpam-2310	32	11	the	the	DET
ejpam-2310	32	12	distribution	distribution	NOUN
ejpam-2310	32	13	.	.	PUNCT
ejpam-2310	33	1	the	the	DET
ejpam-2310	33	2	moment	moment	NOUN
ejpam-2310	33	3	generating	generate	VERB
ejpam-2310	33	4	function	function	NOUN
ejpam-2310	33	5	and	and	CCONJ
ejpam-2310	33	6	the	the	DET
ejpam-2310	33	7	moments	moment	NOUN
ejpam-2310	33	8	are	be	AUX
ejpam-2310	33	9	derived	derive	VERB
ejpam-2310	33	10	in	in	ADP
ejpam-2310	33	11	sections	section	NOUN
ejpam-2310	33	12	4	4	NUM
ejpam-2310	33	13	.	.	PUNCT
ejpam-2310	34	1	mean	mean	NOUN
ejpam-2310	34	2	deviation	deviation	NOUN
ejpam-2310	34	3	is	be	AUX
ejpam-2310	34	4	discussed	discuss	VERB
ejpam-2310	34	5	in	in	ADP
ejpam-2310	34	6	section	section	NOUN
ejpam-2310	34	7	5	5	NUM
ejpam-2310	34	8	.	.	PUNCT
ejpam-2310	35	1	order	order	NOUN
ejpam-2310	35	2	statistics	statistic	NOUN
ejpam-2310	35	3	and	and	CCONJ
ejpam-2310	35	4	their	their	PRON
ejpam-2310	35	5	moments	moment	NOUN
ejpam-2310	35	6	are	be	AUX
ejpam-2310	35	7	studied	study	VERB
ejpam-2310	35	8	in	in	ADP
ejpam-2310	35	9	sections	section	NOUN
ejpam-2310	35	10	6	6	NUM
ejpam-2310	35	11	.	.	PUNCT
ejpam-2310	36	1	in	in	ADP
ejpam-2310	36	2	section	section	NOUN
ejpam-2310	36	3	7	7	NUM
ejpam-2310	36	4	,	,	PUNCT
ejpam-2310	36	5	the	the	DET
ejpam-2310	36	6	stress	stress	NOUN
ejpam-2310	36	7	-	-	PUNCT
ejpam-2310	36	8	strength	strength	NOUN
ejpam-2310	36	9	reliability	reliability	NOUN
ejpam-2310	36	10	is	be	AUX
ejpam-2310	36	11	obtained	obtain	VERB
ejpam-2310	36	12	.	.	PUNCT
ejpam-2310	37	1	estimation	estimation	NOUN
ejpam-2310	37	2	of	of	ADP
ejpam-2310	37	3	parameters	parameter	NOUN
ejpam-2310	37	4	by	by	ADP
ejpam-2310	37	5	the	the	DET
ejpam-2310	37	6	least	least	ADJ
ejpam-2310	37	7	square	square	ADJ
ejpam-2310	37	8	method	method	NOUN
ejpam-2310	37	9	and	and	CCONJ
ejpam-2310	37	10	the	the	DET
ejpam-2310	37	11	maximum	maximum	ADJ
ejpam-2310	37	12	likelihood	likelihood	NOUN
ejpam-2310	37	13	method	method	NOUN
ejpam-2310	37	14	are	be	AUX
ejpam-2310	37	15	discussed	discuss	VERB
ejpam-2310	37	16	in	in	ADP
ejpam-2310	37	17	sections	section	NOUN
ejpam-2310	37	18	8	8	NUM
ejpam-2310	37	19	and	and	CCONJ
ejpam-2310	37	20	9	9	NUM
ejpam-2310	37	21	.	.	PUNCT
ejpam-2310	38	1	in	in	ADP
ejpam-2310	38	2	section	section	NOUN
ejpam-2310	38	3	10	10	NUM
ejpam-2310	38	4	,	,	PUNCT
ejpam-2310	38	5	a	a	DET
ejpam-2310	38	6	simulation	simulation	NOUN
ejpam-2310	38	7	study	study	NOUN
ejpam-2310	38	8	is	be	AUX
ejpam-2310	38	9	carried	carry	VERB
ejpam-2310	38	10	out	out	ADP
ejpam-2310	38	11	to	to	PART
ejpam-2310	38	12	compare	compare	VERB
ejpam-2310	38	13	the	the	DET
ejpam-2310	38	14	two	two	NUM
ejpam-2310	38	15	methods	method	NOUN
ejpam-2310	38	16	of	of	ADP
ejpam-2310	38	17	estimation	estimation	NOUN
ejpam-2310	38	18	.	.	PUNCT
ejpam-2310	39	1	the	the	DET
ejpam-2310	39	2	usefulness	usefulness	NOUN
ejpam-2310	39	3	of	of	ADP
ejpam-2310	39	4	the	the	DET
ejpam-2310	39	5	distribution	distribution	NOUN
ejpam-2310	39	6	for	for	ADP
ejpam-2310	39	7	modeling	model	VERB
ejpam-2310	39	8	real	real	ADJ
ejpam-2310	39	9	life	life	NOUN
ejpam-2310	39	10	data	datum	NOUN
ejpam-2310	39	11	is	be	AUX
ejpam-2310	39	12	illustrated	illustrate	VERB
ejpam-2310	39	13	in	in	ADP
ejpam-2310	39	14	section	section	NOUN
ejpam-2310	39	15	11	11	NUM
ejpam-2310	39	16	.	.	PUNCT
ejpam-2310	40	1	finally	finally	ADV
ejpam-2310	40	2	,	,	PUNCT
ejpam-2310	40	3	in	in	ADP
ejpam-2310	40	4	section	section	NOUN
ejpam-2310	40	5	12	12	NUM
ejpam-2310	40	6	,	,	PUNCT
ejpam-2310	40	7	we	we	PRON
ejpam-2310	40	8	make	make	VERB
ejpam-2310	40	9	some	some	DET
ejpam-2310	40	10	concluding	conclude	VERB
ejpam-2310	40	11	remarks	remark	NOUN
ejpam-2310	40	12	on	on	ADP
ejpam-2310	40	13	our	our	PRON
ejpam-2310	40	14	study	study	NOUN
ejpam-2310	40	15	.	.	PUNCT
ejpam-2310	41	1	2	2	X
ejpam-2310	41	2	.	.	X
ejpam-2310	41	3	exponentiated	exponentiate	VERB
ejpam-2310	41	4	transmuted	transmute	VERB
ejpam-2310	41	5	modified	modified	ADJ
ejpam-2310	41	6	weibull	weibull	NOUN
ejpam-2310	41	7	distribution	distribution	NOUN
ejpam-2310	41	8	the	the	DET
ejpam-2310	41	9	five	five	NUM
ejpam-2310	41	10	parameter	parameter	NOUN
ejpam-2310	41	11	exponentiated	exponentiate	VERB
ejpam-2310	41	12	transmuted	transmute	VERB
ejpam-2310	41	13	modified	modified	ADJ
ejpam-2310	41	14	weibull	weibull	NOUN
ejpam-2310	41	15	(	(	PUNCT
ejpam-2310	41	16	etmw	etmw	NOUN
ejpam-2310	41	17	)	)	PUNCT
ejpam-2310	41	18	distribution	distribution	NOUN
ejpam-2310	41	19	is	be	AUX
ejpam-2310	41	20	given	give	VERB
ejpam-2310	41	21	by	by	ADP
ejpam-2310	41	22	the	the	DET
ejpam-2310	41	23	c.d.f	c.d.f	NOUN
ejpam-2310	41	24	.	.	PUNCT
ejpam-2310	42	1	f(t	f(t	NOUN
ejpam-2310	42	2	)	)	PUNCT
ejpam-2310	43	1	=	=	PUNCT
ejpam-2310	44	1	[	[	X
ejpam-2310	44	2	1−	1−	NUM
ejpam-2310	44	3	ex	ex	NOUN
ejpam-2310	44	4	p(−αt	p(−αt	NOUN
ejpam-2310	44	5	−	−	PROPN
ejpam-2310	44	6	γtβ	γtβ	NOUN
ejpam-2310	44	7	)	)	PUNCT
ejpam-2310	44	8	1+λex	1+λex	NUM
ejpam-2310	44	9	p(−αt	p(−αt	NOUN
ejpam-2310	44	10	−	−	PROPN
ejpam-2310	45	1	γtβ	γtβ	NOUN
ejpam-2310	45	2	)	)	PUNCT
ejpam-2310	46	1	]	]	SYM
ejpam-2310	46	2	δ	δ	PROPN
ejpam-2310	46	3	,	,	PUNCT
ejpam-2310	46	4	t	t	PROPN
ejpam-2310	46	5	≥	≥	PROPN
ejpam-2310	46	6	0,α	0,α	PROPN
ejpam-2310	46	7	,	,	PUNCT
ejpam-2310	46	8	β	β	X
ejpam-2310	46	9	,	,	PUNCT
ejpam-2310	46	10	γ	γ	PROPN
ejpam-2310	46	11	>	>	X
ejpam-2310	46	12	0,λ	0,λ	PUNCT
ejpam-2310	46	13	∈	∈	PROPN
ejpam-2310	47	1	[	[	X
ejpam-2310	47	2	−1,1	−1,1	X
ejpam-2310	47	3	]	]	X
ejpam-2310	47	4	,	,	PUNCT
ejpam-2310	47	5	(	(	PUNCT
ejpam-2310	47	6	4	4	X
ejpam-2310	47	7	)	)	PUNCT
ejpam-2310	47	8	where	where	SCONJ
ejpam-2310	47	9	α	α	X
ejpam-2310	47	10	,	,	PUNCT
ejpam-2310	47	11	β	β	X
ejpam-2310	47	12	,	,	PUNCT
ejpam-2310	47	13	γ	γ	PROPN
ejpam-2310	47	14	,	,	PUNCT
ejpam-2310	47	15	δ	δ	PROPN
ejpam-2310	47	16	are	be	AUX
ejpam-2310	47	17	all	all	PRON
ejpam-2310	47	18	shape	shape	NOUN
ejpam-2310	47	19	parameters	parameter	NOUN
ejpam-2310	47	20	,	,	PUNCT
ejpam-2310	47	21	and	and	CCONJ
ejpam-2310	47	22	λ	λ	PROPN
ejpam-2310	47	23	is	be	AUX
ejpam-2310	47	24	the	the	DET
ejpam-2310	47	25	transmuting	transmute	VERB
ejpam-2310	47	26	parameter	parameter	NOUN
ejpam-2310	47	27	.	.	PUNCT
ejpam-2310	48	1	the	the	DET
ejpam-2310	48	2	density	density	NOUN
ejpam-2310	48	3	function	function	NOUN
ejpam-2310	48	4	of	of	ADP
ejpam-2310	48	5	the	the	DET
ejpam-2310	48	6	distribution	distribution	NOUN
ejpam-2310	48	7	is	be	AUX
ejpam-2310	48	8	obtained	obtain	VERB
ejpam-2310	48	9	as	as	ADP
ejpam-2310	48	10	f	f	PROPN
ejpam-2310	48	11	(	(	PUNCT
ejpam-2310	48	12	t	t	PROPN
ejpam-2310	48	13	)	)	PUNCT
ejpam-2310	49	1	=	=	NOUN
ejpam-2310	49	2	δ[{1−	δ[{1−	PROPN
ejpam-2310	49	3	ex	ex	PRON
ejpam-2310	49	4	p(−αt	p(−αt	NOUN
ejpam-2310	49	5	−	−	PROPN
ejpam-2310	49	6	γtβ	γtβ	NOUN
ejpam-2310	49	7	)	)	PUNCT
ejpam-2310	49	8	}	}	PUNCT
ejpam-2310	49	9	{	{	PUNCT
ejpam-2310	49	10	1+λex	1+λex	NUM
ejpam-2310	49	11	p(−αt	p(−αt	NOUN
ejpam-2310	49	12	−	−	PROPN
ejpam-2310	49	13	γtβ	γtβ	NOUN
ejpam-2310	49	14	)	)	PUNCT
ejpam-2310	49	15	}	}	PUNCT
ejpam-2310	49	16	]	]	PUNCT
ejpam-2310	49	17	δ−1(α+	δ−1(α+	PUNCT
ejpam-2310	49	18	βγtβ−1)ex	βγtβ−1)ex	NOUN
ejpam-2310	49	19	p(−αt	p(−αt	NOUN
ejpam-2310	49	20	−	−	PROPN
ejpam-2310	49	21	γtβ	γtβ	NOUN
ejpam-2310	49	22	)	)	PUNCT
ejpam-2310	49	23	×	×	NOUN
ejpam-2310	50	1	[	[	X
ejpam-2310	50	2	1−λ+	1−λ+	NUM
ejpam-2310	50	3	2λex	2λex	NUM
ejpam-2310	50	4	p(−αt	p(−αt	NOUN
ejpam-2310	50	5	−	−	PROPN
ejpam-2310	50	6	γtβ	γtβ	NOUN
ejpam-2310	50	7	)	)	PUNCT
ejpam-2310	50	8	]	]	PUNCT
ejpam-2310	50	9	,	,	PUNCT
ejpam-2310	50	10	t	t	PROPN
ejpam-2310	50	11	≥	≥	NUM
ejpam-2310	50	12	0	0	NUM
ejpam-2310	50	13	.	.	PUNCT
ejpam-2310	51	1	(	(	PUNCT
ejpam-2310	51	2	5	5	X
ejpam-2310	51	3	)	)	PUNCT
ejpam-2310	51	4	the	the	DET
ejpam-2310	51	5	hazard	hazard	NOUN
ejpam-2310	51	6	rate	rate	NOUN
ejpam-2310	51	7	and	and	CCONJ
ejpam-2310	51	8	the	the	DET
ejpam-2310	51	9	hazard	hazard	NOUN
ejpam-2310	51	10	function	function	NOUN
ejpam-2310	51	11	of	of	ADP
ejpam-2310	51	12	the	the	DET
ejpam-2310	51	13	distribution	distribution	NOUN
ejpam-2310	51	14	are	be	AUX
ejpam-2310	51	15	as	as	SCONJ
ejpam-2310	51	16	follows	follow	VERB
ejpam-2310	51	17	:	:	PUNCT
ejpam-2310	51	18	r(t	r(t	NOUN
ejpam-2310	51	19	)	)	PUNCT
ejpam-2310	52	1	=	=	SYM
ejpam-2310	52	2	δ[{1−	δ[{1−	PROPN
ejpam-2310	52	3	ex	ex	PRON
ejpam-2310	52	4	p(−αt	p(−αt	NOUN
ejpam-2310	52	5	−	−	PROPN
ejpam-2310	52	6	γtβ	γtβ	NOUN
ejpam-2310	52	7	)	)	PUNCT
ejpam-2310	52	8	}	}	PUNCT
ejpam-2310	52	9	1+λex	1+λex	NUM
ejpam-2310	52	10	p(−αt	p(−αt	NOUN
ejpam-2310	52	11	−	−	PROPN
ejpam-2310	52	12	γtβ	γtβ	NOUN
ejpam-2310	52	13	)	)	PUNCT
ejpam-2310	52	14	]	]	X
ejpam-2310	52	15	δ−1(αt	δ−1(αt	PROPN
ejpam-2310	52	16	+	+	CCONJ
ejpam-2310	52	17	βγtβ−1)ex	βγtβ−1)ex	PROPN
ejpam-2310	52	18	p(−αt	p(−αt	NOUN
ejpam-2310	52	19	−	−	PROPN
ejpam-2310	52	20	γtβ	γtβ	NOUN
ejpam-2310	52	21	)	)	PUNCT
ejpam-2310	52	22	×	×	NOUN
ejpam-2310	53	1	[	[	X
ejpam-2310	53	2	1−λ+	1−λ+	NUM
ejpam-2310	53	3	2λex	2λex	NUM
ejpam-2310	53	4	p(−αt	p(−αt	NOUN
ejpam-2310	53	5	−	−	PROPN
ejpam-2310	53	6	γtβ	γtβ	NOUN
ejpam-2310	53	7	)	)	PUNCT
ejpam-2310	53	8	]	]	X
ejpam-2310	54	1	[	[	X
ejpam-2310	54	2	1−	1−	NUM
ejpam-2310	54	3	{	{	PUNCT
ejpam-2310	54	4	ex	ex	X
ejpam-2310	54	5	p(−αt	p(−αt	NOUN
ejpam-2310	54	6	−	−	PROPN
ejpam-2310	54	7	γtβ	γtβ	NOUN
ejpam-2310	54	8	)	)	PUNCT
ejpam-2310	54	9	}	}	PUNCT
ejpam-2310	54	10	(	(	PUNCT
ejpam-2310	54	11	δ){1+λex	δ){1+λex	ADJ
ejpam-2310	54	12	p(−αt	p(−αt	NOUN
ejpam-2310	54	13	−	−	NOUN
ejpam-2310	54	14	γtβ	γtβ	NOUN
ejpam-2310	54	15	)	)	PUNCT
ejpam-2310	54	16	}	}	PUNCT
ejpam-2310	54	17	δ	δ	PROPN
ejpam-2310	54	18	]	]	X
ejpam-2310	54	19	(	(	PUNCT
ejpam-2310	54	20	−	−	PROPN
ejpam-2310	54	21	1	1	NUM
ejpam-2310	54	22	)	)	PUNCT
ejpam-2310	54	23	,	,	PUNCT
ejpam-2310	54	24	t	t	PROPN
ejpam-2310	54	25	≥	≥	NUM
ejpam-2310	54	26	0	0	NUM
ejpam-2310	54	27	,	,	PUNCT
ejpam-2310	54	28	h(t	h(t	NUM
ejpam-2310	54	29	)	)	PUNCT
ejpam-2310	55	1	=	=	PRON
ejpam-2310	55	2	−	−	PROPN
ejpam-2310	55	3	ln[1−λ+	ln[1−λ+	PROPN
ejpam-2310	55	4	2λex	2λex	NUM
ejpam-2310	55	5	p(−αt	p(−αt	NOUN
ejpam-2310	55	6	−	−	PROPN
ejpam-2310	55	7	γtβ	γtβ	NOUN
ejpam-2310	55	8	)	)	PUNCT
ejpam-2310	55	9	]	]	X
ejpam-2310	56	1	[	[	X
ejpam-2310	56	2	1−	1−	NUM
ejpam-2310	56	3	{	{	PUNCT
ejpam-2310	56	4	−ex	−ex	NOUN
ejpam-2310	56	5	p(−αt	p(−αt	NOUN
ejpam-2310	56	6	−	−	PROPN
ejpam-2310	56	7	γtβ	γtβ	NOUN
ejpam-2310	56	8	)	)	PUNCT
ejpam-2310	56	9	}	}	PUNCT
ejpam-2310	56	10	δ{1+λex	δ{1+λex	VERB
ejpam-2310	56	11	p(−αt	p(−αt	NOUN
ejpam-2310	56	12	−	−	NOUN
ejpam-2310	56	13	γtβ	γtβ	NOUN
ejpam-2310	56	14	)	)	PUNCT
ejpam-2310	56	15	}	}	PUNCT
ejpam-2310	56	16	δ	δ	PROPN
ejpam-2310	56	17	]	]	X
ejpam-2310	56	18	,	,	PUNCT
ejpam-2310	56	19	t	t	PROPN
ejpam-2310	56	20	≥	≥	NUM
ejpam-2310	56	21	0	0	NUM
ejpam-2310	56	22	.	.	PUNCT
ejpam-2310	56	23	m.	m.	NOUN
ejpam-2310	56	24	pal	pal	NOUN
ejpam-2310	56	25	and	and	CCONJ
ejpam-2310	56	26	m.	m.	NOUN
ejpam-2310	56	27	tiensuwan	tiensuwan	PROPN
ejpam-2310	56	28	/	/	SYM
ejpam-2310	56	29	eur	eur	PROPN
ejpam-2310	56	30	.	.	PUNCT
ejpam-2310	57	1	j.	j.	PROPN
ejpam-2310	57	2	pure	pure	PROPN
ejpam-2310	57	3	appl	appl	PROPN
ejpam-2310	57	4	.	.	PROPN
ejpam-2310	57	5	math	math	PROPN
ejpam-2310	57	6	,	,	PUNCT
ejpam-2310	57	7	8	8	NUM
ejpam-2310	57	8	(	(	PUNCT
ejpam-2310	57	9	2015	2015	NUM
ejpam-2310	57	10	)	)	PUNCT
ejpam-2310	57	11	,	,	PUNCT
ejpam-2310	57	12	1	1	NUM
ejpam-2310	57	13	-	-	SYM
ejpam-2310	57	14	14	14	NUM
ejpam-2310	57	15	3	3	NUM
ejpam-2310	57	16	plots	plot	NOUN
ejpam-2310	57	17	of	of	ADP
ejpam-2310	57	18	the	the	DET
ejpam-2310	57	19	p.d.f	p.d.f	NOUN
ejpam-2310	57	20	.	.	PUNCT
ejpam-2310	58	1	and	and	CCONJ
ejpam-2310	58	2	the	the	DET
ejpam-2310	58	3	hazard	hazard	NOUN
ejpam-2310	58	4	rate	rate	NOUN
ejpam-2310	58	5	are	be	AUX
ejpam-2310	58	6	given	give	VERB
ejpam-2310	58	7	in	in	ADP
ejpam-2310	58	8	figure	figure	NOUN
ejpam-2310	58	9	1	1	NUM
ejpam-2310	58	10	.	.	PUNCT
ejpam-2310	59	1	figure	figure	NOUN
ejpam-2310	59	2	1a	1a	PROPN
ejpam-2310	59	3	exhibits	exhibit	VERB
ejpam-2310	59	4	the	the	DET
ejpam-2310	59	5	diverse	diverse	ADJ
ejpam-2310	59	6	shapes	shape	NOUN
ejpam-2310	59	7	of	of	ADP
ejpam-2310	59	8	the	the	DET
ejpam-2310	59	9	exponentiated	exponentiate	VERB
ejpam-2310	59	10	transmuted	transmute	VERB
ejpam-2310	59	11	modified	modified	ADJ
ejpam-2310	59	12	weibull	weibull	NOUN
ejpam-2310	59	13	density	density	NOUN
ejpam-2310	59	14	for	for	ADP
ejpam-2310	59	15	different	different	ADJ
ejpam-2310	59	16	choices	choice	NOUN
ejpam-2310	59	17	of	of	ADP
ejpam-2310	59	18	the	the	DET
ejpam-2310	59	19	parameters	parameter	NOUN
ejpam-2310	59	20	.	.	PUNCT
ejpam-2310	60	1	figure	figure	VERB
ejpam-2310	60	2	1b	1b	PROPN
ejpam-2310	60	3	shows	show	VERB
ejpam-2310	60	4	that	that	SCONJ
ejpam-2310	60	5	for	for	ADP
ejpam-2310	60	6	almost	almost	ADV
ejpam-2310	60	7	all	all	DET
ejpam-2310	60	8	the	the	DET
ejpam-2310	60	9	parameter	parameter	NOUN
ejpam-2310	60	10	combinations	combination	NOUN
ejpam-2310	60	11	considered	consider	VERB
ejpam-2310	60	12	the	the	DET
ejpam-2310	60	13	distribution	distribution	NOUN
ejpam-2310	60	14	exhibits	exhibit	VERB
ejpam-2310	60	15	monotonic	monotonic	ADJ
ejpam-2310	60	16	hazard	hazard	NOUN
ejpam-2310	60	17	rate	rate	NOUN
ejpam-2310	60	18	.	.	PUNCT
ejpam-2310	61	1	(	(	PUNCT
ejpam-2310	61	2	a	a	X
ejpam-2310	61	3	)	)	PUNCT
ejpam-2310	61	4	probability	probability	NOUN
ejpam-2310	61	5	density	density	NOUN
ejpam-2310	61	6	function	function	NOUN
ejpam-2310	61	7	.	.	PUNCT
ejpam-2310	62	1	(	(	PUNCT
ejpam-2310	62	2	b	b	X
ejpam-2310	62	3	)	)	PUNCT
ejpam-2310	62	4	hazard	hazard	NOUN
ejpam-2310	62	5	rate	rate	NOUN
ejpam-2310	62	6	function	function	NOUN
ejpam-2310	62	7	.	.	PUNCT
ejpam-2310	63	1	figure	figure	NOUN
ejpam-2310	63	2	1	1	NUM
ejpam-2310	63	3	:	:	PUNCT
ejpam-2310	63	4	exponentiated	exponentiate	VERB
ejpam-2310	63	5	transmuted	transmute	VERB
ejpam-2310	63	6	modified	modified	ADJ
ejpam-2310	63	7	weibull	weibull	NOUN
ejpam-2310	63	8	distribution	distribution	NOUN
ejpam-2310	63	9	when	when	SCONJ
ejpam-2310	63	10	α=	α=	NOUN
ejpam-2310	63	11	1	1	NUM
ejpam-2310	63	12	.	.	PUNCT
ejpam-2310	64	1	by	by	ADP
ejpam-2310	64	2	proper	proper	ADJ
ejpam-2310	64	3	selection	selection	NOUN
ejpam-2310	64	4	of	of	ADP
ejpam-2310	64	5	the	the	DET
ejpam-2310	64	6	model	model	NOUN
ejpam-2310	64	7	parameters	parameter	NOUN
ejpam-2310	64	8	we	we	PRON
ejpam-2310	64	9	can	can	AUX
ejpam-2310	64	10	get	get	VERB
ejpam-2310	64	11	a	a	DET
ejpam-2310	64	12	number	number	NOUN
ejpam-2310	64	13	of	of	ADP
ejpam-2310	64	14	distributions	distribution	NOUN
ejpam-2310	64	15	as	as	ADP
ejpam-2310	64	16	special	special	ADJ
ejpam-2310	64	17	cases	case	NOUN
ejpam-2310	64	18	as	as	SCONJ
ejpam-2310	64	19	shown	show	VERB
ejpam-2310	64	20	below	below	ADV
ejpam-2310	64	21	:	:	PUNCT
ejpam-2310	64	22	parameters	parameter	NOUN
ejpam-2310	64	23	distribution	distribution	NOUN
ejpam-2310	64	24	δ	δ	NOUN
ejpam-2310	64	25	=	=	SYM
ejpam-2310	64	26	1	1	NUM
ejpam-2310	64	27	transmuted	transmute	VERB
ejpam-2310	64	28	modified	modify	VERB
ejpam-2310	64	29	weibull	weibull	PROPN
ejpam-2310	64	30	δ	δ	PROPN
ejpam-2310	64	31	=	=	SYM
ejpam-2310	64	32	1,α=	1,α=	PROPN
ejpam-2310	64	33	0	0	NUM
ejpam-2310	64	34	transmuted	transmute	VERB
ejpam-2310	64	35	weibull	weibull	PROPN
ejpam-2310	64	36	δ	δ	PROPN
ejpam-2310	64	37	=	=	SYM
ejpam-2310	64	38	1,β	1,β	NUM
ejpam-2310	64	39	=	=	SYM
ejpam-2310	64	40	1	1	NUM
ejpam-2310	64	41	transmuted	transmute	VERB
ejpam-2310	64	42	exponential	exponential	ADJ
ejpam-2310	64	43	distribution	distribution	NOUN
ejpam-2310	64	44	α=	α=	NOUN
ejpam-2310	64	45	0	0	NUM
ejpam-2310	64	46	exponentiated	exponentiate	VERB
ejpam-2310	64	47	transmuted	transmute	VERB
ejpam-2310	64	48	weibull	weibull	PROPN
ejpam-2310	64	49	β	β	NOUN
ejpam-2310	64	50	=	=	SYM
ejpam-2310	64	51	1	1	NUM
ejpam-2310	64	52	exponentiated	exponentiate	VERB
ejpam-2310	64	53	transmuted	transmute	VERB
ejpam-2310	64	54	exponential	exponential	ADJ
ejpam-2310	64	55	λ	λ	NOUN
ejpam-2310	64	56	=	=	SYM
ejpam-2310	64	57	0	0	NUM
ejpam-2310	64	58	exponentiated	exponentiate	VERB
ejpam-2310	64	59	modified	modify	VERB
ejpam-2310	64	60	weibull	weibull	NOUN
ejpam-2310	64	61	λ	λ	PROPN
ejpam-2310	64	62	=	=	SYM
ejpam-2310	64	63	0,α	0,α	PROPN
ejpam-2310	64	64	=	=	SYM
ejpam-2310	64	65	0	0	NUM
ejpam-2310	64	66	exponentiated	exponentiate	VERB
ejpam-2310	64	67	weibull	weibull	PROPN
ejpam-2310	64	68	λ	λ	PROPN
ejpam-2310	64	69	=	=	SYM
ejpam-2310	64	70	0,β	0,β	NUM
ejpam-2310	64	71	=	=	SYM
ejpam-2310	64	72	1	1	NUM
ejpam-2310	64	73	exponentiated	exponentiate	VERB
ejpam-2310	64	74	exponential	exponential	ADJ
ejpam-2310	64	75	δ	δ	NOUN
ejpam-2310	64	76	=	=	PUNCT
ejpam-2310	65	1	1,λ	1,λ	NUM
ejpam-2310	65	2	=	=	SYM
ejpam-2310	65	3	0	0	NUM
ejpam-2310	65	4	modified	modify	VERB
ejpam-2310	65	5	weibull	weibull	PROPN
ejpam-2310	65	6	δ	δ	PROPN
ejpam-2310	65	7	=	=	SYM
ejpam-2310	66	1	1,λ	1,λ	NUM
ejpam-2310	67	1	=	=	SYM
ejpam-2310	67	2	0,β	0,β	NUM
ejpam-2310	67	3	=	=	SYM
ejpam-2310	67	4	2	2	NUM
ejpam-2310	67	5	linear	linear	NOUN
ejpam-2310	67	6	failure	failure	NOUN
ejpam-2310	67	7	rate	rate	NOUN
ejpam-2310	67	8	distribution	distribution	NOUN
ejpam-2310	67	9	δ	δ	NOUN
ejpam-2310	67	10	=	=	SYM
ejpam-2310	68	1	1,λ	1,λ	NUM
ejpam-2310	68	2	=	=	PUNCT
ejpam-2310	69	1	0,α	0,α	PUNCT
ejpam-2310	69	2	=	=	SYM
ejpam-2310	69	3	0	0	NUM
ejpam-2310	70	1	weibull	weibull	PROPN
ejpam-2310	70	2	δ	δ	PROPN
ejpam-2310	70	3	=	=	SYM
ejpam-2310	71	1	1,λ	1,λ	NUM
ejpam-2310	71	2	=	=	PUNCT
ejpam-2310	72	1	0,α=	0,α=	NUM
ejpam-2310	72	2	0,β	0,β	NUM
ejpam-2310	72	3	=	=	SYM
ejpam-2310	72	4	2	2	NUM
ejpam-2310	72	5	rayleigh	rayleigh	PROPN
ejpam-2310	72	6	δ	δ	PROPN
ejpam-2310	72	7	=	=	PUNCT
ejpam-2310	73	1	1,λ	1,λ	NUM
ejpam-2310	73	2	=	=	SYM
ejpam-2310	73	3	0,β	0,β	NUM
ejpam-2310	73	4	=	=	SYM
ejpam-2310	73	5	1	1	NUM
ejpam-2310	73	6	exponential	exponential	NOUN
ejpam-2310	73	7	3	3	NUM
ejpam-2310	73	8	.	.	PUNCT
ejpam-2310	73	9	quantile	quantile	ADJ
ejpam-2310	73	10	function	function	NOUN
ejpam-2310	73	11	and	and	CCONJ
ejpam-2310	73	12	simulation	simulation	NOUN
ejpam-2310	73	13	for	for	ADP
ejpam-2310	73	14	any	any	DET
ejpam-2310	73	15	random	random	ADJ
ejpam-2310	73	16	variable	variable	NOUN
ejpam-2310	73	17	x	x	PUNCT
ejpam-2310	73	18	with	with	ADP
ejpam-2310	73	19	cumulative	cumulative	ADJ
ejpam-2310	73	20	distribution	distribution	NOUN
ejpam-2310	73	21	function	function	NOUN
ejpam-2310	73	22	f	f	X
ejpam-2310	73	23	(	(	PUNCT
ejpam-2310	73	24	·	·	PUNCT
ejpam-2310	73	25	)	)	PUNCT
ejpam-2310	73	26	,	,	PUNCT
ejpam-2310	73	27	for	for	ADP
ejpam-2310	73	28	a	a	DET
ejpam-2310	73	29	given	give	VERB
ejpam-2310	73	30	q	q	NOUN
ejpam-2310	73	31	,	,	PUNCT
ejpam-2310	73	32	0≤	0≤	NUM
ejpam-2310	73	33	q	q	PROPN
ejpam-2310	73	34	≤	≤	NUM
ejpam-2310	73	35	1	1	NUM
ejpam-2310	73	36	,	,	PUNCT
ejpam-2310	73	37	the	the	DET
ejpam-2310	73	38	quantile	quantile	ADJ
ejpam-2310	73	39	function	function	NOUN
ejpam-2310	73	40	returns	return	VERB
ejpam-2310	73	41	the	the	DET
ejpam-2310	73	42	threshold	threshold	NOUN
ejpam-2310	73	43	value	value	NOUN
ejpam-2310	73	44	x	x	PUNCT
ejpam-2310	73	45	such	such	ADJ
ejpam-2310	73	46	that	that	SCONJ
ejpam-2310	73	47	f(x	f(x	NOUN
ejpam-2310	73	48	)	)	PUNCT
ejpam-2310	74	1	=	=	PUNCT
ejpam-2310	75	1	q.	q.	NOUN
ejpam-2310	75	2	this	this	DET
ejpam-2310	75	3	function	function	NOUN
ejpam-2310	75	4	is	be	AUX
ejpam-2310	75	5	useful	useful	ADJ
ejpam-2310	75	6	in	in	ADP
ejpam-2310	75	7	statistical	statistical	ADJ
ejpam-2310	75	8	applications	application	NOUN
ejpam-2310	75	9	and	and	CCONJ
ejpam-2310	75	10	monte	monte	PROPN
ejpam-2310	75	11	carlo	carlo	PROPN
ejpam-2310	75	12	simulation	simulation	PROPN
ejpam-2310	75	13	.	.	PUNCT
ejpam-2310	76	1	for	for	ADP
ejpam-2310	76	2	statistical	statistical	ADJ
ejpam-2310	76	3	applications	application	NOUN
ejpam-2310	76	4	,	,	PUNCT
ejpam-2310	76	5	one	one	NUM
ejpam-2310	76	6	needs	need	VERB
ejpam-2310	76	7	to	to	PART
ejpam-2310	76	8	know	know	VERB
ejpam-2310	76	9	the	the	DET
ejpam-2310	76	10	key	key	ADJ
ejpam-2310	76	11	percentage	percentage	NOUN
ejpam-2310	76	12	points	point	NOUN
ejpam-2310	76	13	of	of	ADP
ejpam-2310	76	14	a	a	DET
ejpam-2310	76	15	given	give	VERB
ejpam-2310	76	16	distribution	distribution	NOUN
ejpam-2310	76	17	,	,	PUNCT
ejpam-2310	76	18	like	like	ADP
ejpam-2310	76	19	the	the	DET
ejpam-2310	76	20	median	median	NOUN
ejpam-2310	76	21	and	and	CCONJ
ejpam-2310	76	22	the	the	DET
ejpam-2310	76	23	25	25	NUM
ejpam-2310	76	24	%	%	NOUN
ejpam-2310	76	25	and	and	CCONJ
ejpam-2310	76	26	75	75	NUM
ejpam-2310	76	27	%	%	NOUN
ejpam-2310	76	28	quartiles	quartile	NOUN
ejpam-2310	76	29	.	.	PUNCT
ejpam-2310	77	1	the	the	DET
ejpam-2310	77	2	quantile	quantile	ADJ
ejpam-2310	77	3	function	function	NOUN
ejpam-2310	77	4	is	be	AUX
ejpam-2310	77	5	also	also	ADV
ejpam-2310	77	6	helpful	helpful	ADJ
ejpam-2310	77	7	in	in	ADP
ejpam-2310	77	8	examining	examine	VERB
ejpam-2310	77	9	the	the	DET
ejpam-2310	77	10	fit	fit	NOUN
ejpam-2310	77	11	of	of	ADP
ejpam-2310	77	12	a	a	DET
ejpam-2310	77	13	given	give	VERB
ejpam-2310	77	14	data	datum	NOUN
ejpam-2310	77	15	set	set	VERB
ejpam-2310	77	16	to	to	ADP
ejpam-2310	77	17	a	a	DET
ejpam-2310	77	18	theoretical	theoretical	ADJ
ejpam-2310	77	19	distribution	distribution	NOUN
ejpam-2310	77	20	.	.	PUNCT
ejpam-2310	78	1	this	this	PRON
ejpam-2310	78	2	is	be	AUX
ejpam-2310	78	3	done	do	VERB
ejpam-2310	78	4	by	by	ADP
ejpam-2310	78	5	using	use	VERB
ejpam-2310	78	6	the	the	DET
ejpam-2310	78	7	quantile	quantile	NOUN
ejpam-2310	78	8	-	-	PUNCT
ejpam-2310	78	9	quantile	quantile	NOUN
ejpam-2310	78	10	(	(	PUNCT
ejpam-2310	78	11	q	q	NOUN
ejpam-2310	78	12	-	-	PUNCT
ejpam-2310	78	13	q	q	NOUN
ejpam-2310	78	14	)	)	PUNCT
ejpam-2310	78	15	plot	plot	NOUN
ejpam-2310	78	16	.	.	PUNCT
ejpam-2310	79	1	m.	m.	NOUN
ejpam-2310	79	2	pal	pal	NOUN
ejpam-2310	79	3	and	and	CCONJ
ejpam-2310	79	4	m.	m.	NOUN
ejpam-2310	79	5	tiensuwan	tiensuwan	PROPN
ejpam-2310	79	6	/	/	SYM
ejpam-2310	79	7	eur	eur	PROPN
ejpam-2310	79	8	.	.	PUNCT
ejpam-2310	80	1	j.	j.	PROPN
ejpam-2310	80	2	pure	pure	PROPN
ejpam-2310	80	3	appl	appl	PROPN
ejpam-2310	80	4	.	.	PROPN
ejpam-2310	80	5	math	math	PROPN
ejpam-2310	80	6	,	,	PUNCT
ejpam-2310	80	7	8	8	NUM
ejpam-2310	80	8	(	(	PUNCT
ejpam-2310	80	9	2015	2015	NUM
ejpam-2310	80	10	)	)	PUNCT
ejpam-2310	80	11	,	,	PUNCT
ejpam-2310	80	12	1	1	NUM
ejpam-2310	80	13	-	-	SYM
ejpam-2310	80	14	14	14	NUM
ejpam-2310	80	15	4	4	NUM
ejpam-2310	80	16	the	the	DET
ejpam-2310	80	17	quantile	quantile	ADJ
ejpam-2310	80	18	function	function	NOUN
ejpam-2310	80	19	corresponding	correspond	VERB
ejpam-2310	80	20	to	to	ADP
ejpam-2310	80	21	the	the	DET
ejpam-2310	80	22	etmw	etmw	NOUN
ejpam-2310	80	23	distribution	distribution	NOUN
ejpam-2310	80	24	(	(	PUNCT
ejpam-2310	80	25	4	4	NUM
ejpam-2310	80	26	)	)	PUNCT
ejpam-2310	80	27	is	be	AUX
ejpam-2310	80	28	given	give	VERB
ejpam-2310	80	29	by	by	ADP
ejpam-2310	80	30	tq	tq	ADP
ejpam-2310	80	31	=	=	SYM
ejpam-2310	80	32	f−1(q	f−1(q	NOUN
ejpam-2310	80	33	)	)	PUNCT
ejpam-2310	80	34	=	=	SYM
ejpam-2310	80	35	g−1(q1	g−1(q1	PROPN
ejpam-2310	80	36	/	/	SYM
ejpam-2310	80	37	δ	δ	PROPN
ejpam-2310	80	38	)	)	PUNCT
ejpam-2310	80	39	,	,	PUNCT
ejpam-2310	80	40	(	(	PUNCT
ejpam-2310	80	41	6	6	NUM
ejpam-2310	80	42	)	)	PUNCT
ejpam-2310	80	43	where	where	SCONJ
ejpam-2310	80	44	g(x	g(x	NOUN
ejpam-2310	80	45	)	)	PUNCT
ejpam-2310	80	46	=	=	PUNCT
ejpam-2310	81	1	[	[	X
ejpam-2310	81	2	1	1	NUM
ejpam-2310	81	3	−	−	PROPN
ejpam-2310	81	4	ex	ex	PUNCT
ejpam-2310	81	5	p(−αt	p(−αt	NOUN
ejpam-2310	81	6	−	−	PROPN
ejpam-2310	81	7	γtβ	γtβ	NOUN
ejpam-2310	81	8	)	)	PUNCT
ejpam-2310	81	9	]	]	PUNCT
ejpam-2310	82	1	[	[	X
ejpam-2310	82	2	1	1	NUM
ejpam-2310	82	3	+	+	NUM
ejpam-2310	82	4	λex	λex	PROPN
ejpam-2310	82	5	p(−αt	p(−αt	PROPN
ejpam-2310	82	6	−	−	PROPN
ejpam-2310	82	7	γtβ	γtβ	NOUN
ejpam-2310	82	8	)	)	PUNCT
ejpam-2310	82	9	]	]	PUNCT
ejpam-2310	82	10	is	be	AUX
ejpam-2310	82	11	the	the	DET
ejpam-2310	82	12	cumulative	cumulative	ADJ
ejpam-2310	82	13	distribution	distribution	NOUN
ejpam-2310	82	14	function	function	NOUN
ejpam-2310	82	15	of	of	ADP
ejpam-2310	82	16	the	the	DET
ejpam-2310	82	17	transmuted	transmuted	ADJ
ejpam-2310	82	18	modified	modified	ADJ
ejpam-2310	82	19	weibull	weibull	NOUN
ejpam-2310	82	20	distribution	distribution	NOUN
ejpam-2310	82	21	investigated	investigate	VERB
ejpam-2310	82	22	by	by	ADP
ejpam-2310	82	23	khan	khan	PROPN
ejpam-2310	82	24	and	and	CCONJ
ejpam-2310	82	25	king	king	NOUN
ejpam-2310	83	1	[	[	X
ejpam-2310	83	2	6	6	NUM
ejpam-2310	83	3	]	]	PUNCT
ejpam-2310	83	4	.	.	PUNCT
ejpam-2310	84	1	thus	thus	ADV
ejpam-2310	84	2	,	,	PUNCT
ejpam-2310	84	3	tq	tq	ADV
ejpam-2310	84	4	is	be	AUX
ejpam-2310	84	5	the	the	DET
ejpam-2310	84	6	(	(	PUNCT
ejpam-2310	84	7	q1	q1	NOUN
ejpam-2310	84	8	/	/	SYM
ejpam-2310	84	9	δ)-th	δ)-th	X
ejpam-2310	84	10	quantile	quantile	NOUN
ejpam-2310	84	11	of	of	ADP
ejpam-2310	84	12	a	a	DET
ejpam-2310	84	13	transmuted	transmuted	ADJ
ejpam-2310	84	14	modified	modified	ADJ
ejpam-2310	84	15	weibull	weibull	NOUN
ejpam-2310	84	16	distribution	distribution	NOUN
ejpam-2310	84	17	,	,	PUNCT
ejpam-2310	84	18	and	and	CCONJ
ejpam-2310	84	19	,	,	PUNCT
ejpam-2310	84	20	from	from	ADP
ejpam-2310	84	21	khan	khan	PROPN
ejpam-2310	84	22	and	and	CCONJ
ejpam-2310	84	23	king	king	NOUN
ejpam-2310	85	1	[	[	X
ejpam-2310	85	2	6	6	NUM
ejpam-2310	85	3	]	]	PUNCT
ejpam-2310	85	4	,	,	PUNCT
ejpam-2310	85	5	tq	tq	ADV
ejpam-2310	85	6	is	be	AUX
ejpam-2310	85	7	the	the	DET
ejpam-2310	85	8	real	real	ADJ
ejpam-2310	85	9	solution	solution	NOUN
ejpam-2310	85	10	to	to	ADP
ejpam-2310	85	11	the	the	DET
ejpam-2310	85	12	equation	equation	NOUN
ejpam-2310	85	13	γtβq	γtβq	NOUN
ejpam-2310	86	1	+	+	NOUN
ejpam-2310	86	2	αtq	αtq	NOUN
ejpam-2310	86	3	+	+	ADJ
ejpam-2310	86	4	ln(z∗	ln(z∗	NOUN
ejpam-2310	86	5	)	)	PUNCT
ejpam-2310	87	1	=	=	SYM
ejpam-2310	87	2	0	0	NUM
ejpam-2310	87	3	,	,	PUNCT
ejpam-2310	87	4	(	(	PUNCT
ejpam-2310	87	5	7	7	X
ejpam-2310	87	6	)	)	PUNCT
ejpam-2310	87	7	where	where	SCONJ
ejpam-2310	87	8	z∗	z∗	NOUN
ejpam-2310	87	9	=	=	SYM
ejpam-2310	87	10	1−	1−	NUM
ejpam-2310	87	11	(	(	PUNCT
ejpam-2310	87	12	1+λ)−	1+λ)−	NUM
ejpam-2310	87	13	p	p	X
ejpam-2310	87	14	(	(	PUNCT
ejpam-2310	87	15	1+λ)2	1+λ)2	NUM
ejpam-2310	87	16	−	−	NOUN
ejpam-2310	87	17	4λq1	4λq1	NUM
ejpam-2310	87	18	/	/	SYM
ejpam-2310	87	19	δ	δ	PROPN
ejpam-2310	87	20	2λ	2λ	PROPN
ejpam-2310	87	21	.	.	PUNCT
ejpam-2310	88	1	(	(	PUNCT
ejpam-2310	88	2	8)	8)	NUM
ejpam-2310	88	3	for	for	ADP
ejpam-2310	88	4	β	β	X
ejpam-2310	88	5	=	=	SYM
ejpam-2310	88	6	2	2	NUM
ejpam-2310	88	7	,	,	PUNCT
ejpam-2310	88	8	tq	tq	ADV
ejpam-2310	88	9	is	be	AUX
ejpam-2310	88	10	given	give	VERB
ejpam-2310	88	11	by	by	ADP
ejpam-2310	88	12	tq	tq	ADP
ejpam-2310	88	13	=	=	NOUN
ejpam-2310	88	14	−α+pα2	−α+pα2	NOUN
ejpam-2310	88	15	−	−	PROPN
ejpam-2310	88	16	4γ	4γ	NOUN
ejpam-2310	88	17	ln(z∗	ln(z∗	NOUN
ejpam-2310	88	18	)	)	PUNCT
ejpam-2310	88	19	2γ	2γ	NOUN
ejpam-2310	88	20	,	,	PUNCT
ejpam-2310	88	21	(	(	PUNCT
ejpam-2310	88	22	9	9	NUM
ejpam-2310	88	23	)	)	PUNCT
ejpam-2310	88	24	where	where	SCONJ
ejpam-2310	88	25	z∗	z∗	NOUN
ejpam-2310	88	26	is	be	AUX
ejpam-2310	88	27	given	give	VERB
ejpam-2310	88	28	by	by	ADP
ejpam-2310	88	29	(	(	PUNCT
ejpam-2310	88	30	8)	8)	NUM
ejpam-2310	88	31	.	.	PUNCT
ejpam-2310	89	1	thus	thus	ADV
ejpam-2310	89	2	,	,	PUNCT
ejpam-2310	89	3	for	for	ADP
ejpam-2310	89	4	β	β	X
ejpam-2310	89	5	=	=	SYM
ejpam-2310	89	6	2	2	NUM
ejpam-2310	89	7	,	,	PUNCT
ejpam-2310	89	8	the	the	DET
ejpam-2310	89	9	median	median	NOUN
ejpam-2310	89	10	of	of	ADP
ejpam-2310	89	11	the	the	DET
ejpam-2310	89	12	distribution	distribution	NOUN
ejpam-2310	89	13	has	have	VERB
ejpam-2310	89	14	the	the	DET
ejpam-2310	89	15	form	form	NOUN
ejpam-2310	89	16	t0.5	t0.5	PRON
ejpam-2310	89	17	=	=	NOUN
ejpam-2310	89	18	−α+	−α+	PROPN
ejpam-2310	89	19	q	q	PROPN
ejpam-2310	89	20	α2	α2	PROPN
ejpam-2310	89	21	−	−	PROPN
ejpam-2310	89	22	4γ	4γ	NOUN
ejpam-2310	90	1	ln	ln	ADJ
ejpam-2310	90	2	[	[	X
ejpam-2310	90	3	{	{	PUNCT
ejpam-2310	90	4	p	p	X
ejpam-2310	90	5	(	(	PUNCT
ejpam-2310	90	6	1+λ)2	1+λ)2	NUM
ejpam-2310	90	7	−	−	NOUN
ejpam-2310	90	8	22−1	22−1	NUM
ejpam-2310	90	9	/	/	SYM
ejpam-2310	90	10	δλ−	δλ−	NUM
ejpam-2310	90	11	(	(	PUNCT
ejpam-2310	90	12	1−λ)}/2λ	1−λ)}/2λ	NUM
ejpam-2310	90	13	]	]	PUNCT
ejpam-2310	90	14	2γ	2γ	X
ejpam-2310	90	15	.	.	PUNCT
ejpam-2310	91	1	in	in	ADP
ejpam-2310	91	2	order	order	NOUN
ejpam-2310	91	3	to	to	PART
ejpam-2310	91	4	simulate	simulate	VERB
ejpam-2310	91	5	from	from	ADP
ejpam-2310	91	6	the	the	DET
ejpam-2310	91	7	etmw	etmw	NOUN
ejpam-2310	91	8	distribution	distribution	NOUN
ejpam-2310	91	9	,	,	PUNCT
ejpam-2310	91	10	we	we	PRON
ejpam-2310	91	11	have	have	VERB
ejpam-2310	91	12	to	to	PART
ejpam-2310	91	13	solve	solve	VERB
ejpam-2310	91	14	for	for	ADP
ejpam-2310	91	15	tq	tq	ADV
ejpam-2310	91	16	from	from	ADP
ejpam-2310	91	17	(	(	PUNCT
ejpam-2310	91	18	7	7	NUM
ejpam-2310	91	19	)	)	PUNCT
ejpam-2310	91	20	for	for	ADP
ejpam-2310	91	21	a	a	DET
ejpam-2310	91	22	random	random	ADJ
ejpam-2310	91	23	proportion	proportion	NOUN
ejpam-2310	91	24	q.	q.	NOUN
ejpam-2310	91	25	however	however	ADV
ejpam-2310	91	26	,	,	PUNCT
ejpam-2310	91	27	for	for	ADP
ejpam-2310	91	28	β	β	X
ejpam-2310	91	29	=	=	SYM
ejpam-2310	91	30	2	2	NUM
ejpam-2310	91	31	,	,	PUNCT
ejpam-2310	91	32	simulation	simulation	NOUN
ejpam-2310	91	33	is	be	AUX
ejpam-2310	91	34	straight	straight	ADV
ejpam-2310	91	35	forward	forward	ADV
ejpam-2310	91	36	from	from	ADP
ejpam-2310	91	37	(	(	PUNCT
ejpam-2310	91	38	9	9	NUM
ejpam-2310	91	39	)	)	PUNCT
ejpam-2310	91	40	.	.	PUNCT
ejpam-2310	92	1	4	4	X
ejpam-2310	92	2	.	.	X
ejpam-2310	92	3	moment	moment	NOUN
ejpam-2310	92	4	generating	generate	VERB
ejpam-2310	92	5	function	function	NOUN
ejpam-2310	92	6	we	we	PRON
ejpam-2310	92	7	can	can	AUX
ejpam-2310	92	8	express	express	VERB
ejpam-2310	92	9	the	the	DET
ejpam-2310	92	10	moment	moment	NOUN
ejpam-2310	92	11	generating	generate	VERB
ejpam-2310	92	12	function	function	NOUN
ejpam-2310	92	13	m(t∗	m(t∗	NOUN
ejpam-2310	92	14	)	)	PUNCT
ejpam-2310	92	15	of	of	ADP
ejpam-2310	92	16	the	the	DET
ejpam-2310	92	17	etmw	etmw	NOUN
ejpam-2310	92	18	distribution	distribution	NOUN
ejpam-2310	92	19	in	in	ADP
ejpam-2310	92	20	terms	term	NOUN
ejpam-2310	92	21	of	of	ADP
ejpam-2310	92	22	the	the	DET
ejpam-2310	92	23	moment	moment	NOUN
ejpam-2310	92	24	generating	generate	VERB
ejpam-2310	92	25	function	function	NOUN
ejpam-2310	92	26	of	of	ADP
ejpam-2310	92	27	the	the	DET
ejpam-2310	92	28	modified	modify	VERB
ejpam-2310	92	29	weibull	weibull	NOUN
ejpam-2310	92	30	distribution	distribution	NOUN
ejpam-2310	92	31	as	as	SCONJ
ejpam-2310	92	32	follows	follow	VERB
ejpam-2310	92	33	:	:	PUNCT
ejpam-2310	92	34	m(t∗	m(t∗	X
ejpam-2310	92	35	)	)	PUNCT
ejpam-2310	92	36	=	=	SYM
ejpam-2310	93	1	∫	∫	PROPN
ejpam-2310	93	2	∞	∞	NUM
ejpam-2310	93	3	0	0	PUNCT
ejpam-2310	94	1	ex	ex	PRON
ejpam-2310	94	2	p(t∗	p(t∗	PROPN
ejpam-2310	94	3	t	t	PROPN
ejpam-2310	94	4	)	)	PUNCT
ejpam-2310	94	5	f	f	PROPN
ejpam-2310	94	6	(	(	PUNCT
ejpam-2310	94	7	t)d	t)d	PROPN
ejpam-2310	94	8	t	t	PROPN
ejpam-2310	94	9	=	=	SYM
ejpam-2310	94	10	δ	δ	X
ejpam-2310	94	11	∞	∞	NUM
ejpam-2310	94	12	∑	∑	PUNCT
ejpam-2310	94	13	i=0	i=0	PROPN
ejpam-2310	94	14	∞	∞	PROPN
ejpam-2310	94	15	∑	∑	PUNCT
ejpam-2310	94	16	j=0	j=0	VERB
ejpam-2310	94	17	a(i	a(i	VERB
ejpam-2310	94	18	,	,	PUNCT
ejpam-2310	94	19	j;δ	j;δ	NOUN
ejpam-2310	94	20	,	,	PUNCT
ejpam-2310	94	21	λ	λ	NOUN
ejpam-2310	94	22	)	)	PUNCT
ejpam-2310	94	23	[	[	PUNCT
ejpam-2310	94	24	1−λ	1−λ	NUM
ejpam-2310	94	25	(	(	PUNCT
ejpam-2310	94	26	i	i	PRON
ejpam-2310	94	27	+	+	NUM
ejpam-2310	94	28	j	j	PROPN
ejpam-2310	95	1	+	+	CCONJ
ejpam-2310	95	2	1	1	X
ejpam-2310	95	3	)	)	PUNCT
ejpam-2310	95	4	mmw	mmw	PROPN
ejpam-2310	95	5	(	(	PUNCT
ejpam-2310	95	6	t	t	NOUN
ejpam-2310	95	7	∗	∗	NOUN
ejpam-2310	95	8	;	;	PUNCT
ejpam-2310	95	9	(	(	PUNCT
ejpam-2310	95	10	i	i	PRON
ejpam-2310	95	11	+	+	NUM
ejpam-2310	95	12	j	j	PROPN
ejpam-2310	96	1	+	+	PROPN
ejpam-2310	96	2	1)α	1)α	NUM
ejpam-2310	96	3	,	,	PUNCT
ejpam-2310	96	4	(	(	PUNCT
ejpam-2310	96	5	i	i	PRON
ejpam-2310	96	6	+	+	NUM
ejpam-2310	96	7	j	j	PROPN
ejpam-2310	96	8	+	+	SYM
ejpam-2310	96	9	1)γ	1)γ	PROPN
ejpam-2310	96	10	,	,	PUNCT
ejpam-2310	96	11	β	β	NOUN
ejpam-2310	96	12	)	)	PUNCT
ejpam-2310	97	1	+	+	NUM
ejpam-2310	97	2	2λ	2λ	NUM
ejpam-2310	97	3	(	(	PUNCT
ejpam-2310	97	4	i	i	NOUN
ejpam-2310	97	5	+	+	NUM
ejpam-2310	97	6	j	j	PROPN
ejpam-2310	97	7	+	+	CCONJ
ejpam-2310	97	8	2	2	X
ejpam-2310	97	9	)	)	PUNCT
ejpam-2310	97	10	mmw	mmw	PROPN
ejpam-2310	97	11	(	(	PUNCT
ejpam-2310	97	12	t	t	NOUN
ejpam-2310	97	13	∗	∗	NOUN
ejpam-2310	97	14	;	;	PUNCT
ejpam-2310	97	15	(	(	PUNCT
ejpam-2310	97	16	i	i	PRON
ejpam-2310	97	17	+	+	NUM
ejpam-2310	97	18	j	j	PROPN
ejpam-2310	97	19	+	+	CCONJ
ejpam-2310	97	20	2)α	2)α	NUM
ejpam-2310	97	21	,	,	PUNCT
ejpam-2310	97	22	(	(	PUNCT
ejpam-2310	97	23	i	i	PRON
ejpam-2310	97	24	+	+	NUM
ejpam-2310	97	25	j	j	PROPN
ejpam-2310	97	26	+	+	CCONJ
ejpam-2310	97	27	2)γ	2)γ	NUM
ejpam-2310	97	28	,	,	PUNCT
ejpam-2310	97	29	β	β	NOUN
ejpam-2310	97	30	)	)	PUNCT
ejpam-2310	97	31	]	]	PUNCT
ejpam-2310	97	32	,	,	PUNCT
ejpam-2310	97	33	where	where	SCONJ
ejpam-2310	97	34	mmw	mmw	PROPN
ejpam-2310	97	35	(	(	PUNCT
ejpam-2310	97	36	t	t	PROPN
ejpam-2310	97	37	∗;α	∗;α	PROPN
ejpam-2310	97	38	,	,	PUNCT
ejpam-2310	97	39	γ	γ	X
ejpam-2310	97	40	,	,	PUNCT
ejpam-2310	97	41	β	β	NOUN
ejpam-2310	97	42	)	)	PUNCT
ejpam-2310	97	43	denotes	denote	VERB
ejpam-2310	97	44	the	the	DET
ejpam-2310	97	45	moment	moment	NOUN
ejpam-2310	97	46	generating	generate	VERB
ejpam-2310	97	47	function	function	NOUN
ejpam-2310	97	48	of	of	ADP
ejpam-2310	97	49	a	a	DET
ejpam-2310	97	50	modified	modify	VERB
ejpam-2310	97	51	weibull	weibull	NOUN
ejpam-2310	97	52	distribution	distribution	NOUN
ejpam-2310	97	53	with	with	ADP
ejpam-2310	97	54	c.d.f	c.d.f	NOUN
ejpam-2310	97	55	.	.	PUNCT
ejpam-2310	98	1	(	(	PUNCT
ejpam-2310	98	2	2	2	NUM
ejpam-2310	98	3	)	)	PUNCT
ejpam-2310	98	4	,	,	PUNCT
ejpam-2310	98	5	and	and	CCONJ
ejpam-2310	98	6	a(i	a(i	VERB
ejpam-2310	98	7	,	,	PUNCT
ejpam-2310	98	8	j;δ	j;δ	NOUN
ejpam-2310	98	9	,	,	PUNCT
ejpam-2310	98	10	λ	λ	NOUN
ejpam-2310	98	11	)	)	PUNCT
ejpam-2310	98	12	=	=	SYM
ejpam-2310	98	13	(	(	PUNCT
ejpam-2310	98	14	−1)i	−1)i	X
ejpam-2310	98	15	{	{	PUNCT
ejpam-2310	99	1	γ(δ−	γ(δ−	PROPN
ejpam-2310	99	2	1)}2	1)}2	NUM
ejpam-2310	99	3	γ(i)γ	γ(i)γ	PROPN
ejpam-2310	99	4	(	(	PUNCT
ejpam-2310	99	5	j)γ(δ−	j)γ(δ−	PROPN
ejpam-2310	99	6	i	i	PRON
ejpam-2310	99	7	−	−	PROPN
ejpam-2310	99	8	1)γ(δ−	1)γ(δ−	PROPN
ejpam-2310	99	9	j	j	PROPN
ejpam-2310	99	10	−	−	NOUN
ejpam-2310	99	11	1	1	X
ejpam-2310	99	12	)	)	PUNCT
ejpam-2310	100	1	λ	λ	PROPN
ejpam-2310	100	2	j	j	PROPN
ejpam-2310	100	3	.	.	PUNCT
ejpam-2310	101	1	m.	m.	PROPN
ejpam-2310	101	2	pal	pal	NOUN
ejpam-2310	101	3	and	and	CCONJ
ejpam-2310	101	4	m.	m.	NOUN
ejpam-2310	101	5	tiensuwan	tiensuwan	PROPN
ejpam-2310	101	6	/	/	SYM
ejpam-2310	101	7	eur	eur	PROPN
ejpam-2310	101	8	.	.	PUNCT
ejpam-2310	102	1	j.	j.	PROPN
ejpam-2310	102	2	pure	pure	PROPN
ejpam-2310	102	3	appl	appl	PROPN
ejpam-2310	102	4	.	.	PROPN
ejpam-2310	102	5	math	math	PROPN
ejpam-2310	102	6	,	,	PUNCT
ejpam-2310	102	7	8	8	NUM
ejpam-2310	102	8	(	(	PUNCT
ejpam-2310	102	9	2015	2015	NUM
ejpam-2310	102	10	)	)	PUNCT
ejpam-2310	102	11	,	,	PUNCT
ejpam-2310	102	12	1	1	NUM
ejpam-2310	102	13	-	-	SYM
ejpam-2310	102	14	14	14	NUM
ejpam-2310	102	15	5	5	NUM
ejpam-2310	102	16	from	from	ADP
ejpam-2310	102	17	sarhan	sarhan	ADV
ejpam-2310	102	18	and	and	CCONJ
ejpam-2310	102	19	zaindin	zaindin	X
ejpam-2310	103	1	[	[	X
ejpam-2310	103	2	8	8	NUM
ejpam-2310	103	3	]	]	PUNCT
ejpam-2310	103	4	,	,	PUNCT
ejpam-2310	103	5	we	we	PRON
ejpam-2310	103	6	have	have	VERB
ejpam-2310	103	7	mmw	mmw	PROPN
ejpam-2310	103	8	(	(	PUNCT
ejpam-2310	103	9	t	t	PROPN
ejpam-2310	103	10	∗;α	∗;α	PROPN
ejpam-2310	103	11	,	,	PUNCT
ejpam-2310	103	12	γ	γ	X
ejpam-2310	103	13	,	,	PUNCT
ejpam-2310	103	14	β	β	X
ejpam-2310	103	15	)	)	PUNCT
ejpam-2310	104	1	=	=	SYM
ejpam-2310	104	2	∞	∞	PROPN
ejpam-2310	104	3	∑	∑	PUNCT
ejpam-2310	104	4	k=0	k=0	X
ejpam-2310	104	5	(	(	PUNCT
ejpam-2310	104	6	−γ)k	−γ)k	PROPN
ejpam-2310	104	7	k	k	PROPN
ejpam-2310	104	8	!	!	PUNCT
ejpam-2310	104	9	�	�	PROPN
ejpam-2310	104	10	αγ(kβ	αγ(kβ	PROPN
ejpam-2310	104	11	+	+	CCONJ
ejpam-2310	104	12	1	1	X
ejpam-2310	104	13	)	)	PUNCT
ejpam-2310	104	14	(	(	PUNCT
ejpam-2310	104	15	α−	α−	ADP
ejpam-2310	104	16	t∗)kβ+1	t∗)kβ+1	PROPN
ejpam-2310	104	17	+	+	CCONJ
ejpam-2310	104	18	γβγ(k+	γβγ(k+	PROPN
ejpam-2310	104	19	1)β	1)β	NUM
ejpam-2310	104	20	(	(	PUNCT
ejpam-2310	104	21	α−	α−	ADP
ejpam-2310	104	22	t∗)(k+1)β	t∗)(k+1)β	PROPN
ejpam-2310	104	23	�	�	PROPN
ejpam-2310	104	24	,	,	PUNCT
ejpam-2310	104	25	for	for	ADP
ejpam-2310	104	26	α	α	PRON
ejpam-2310	104	27	,	,	PUNCT
ejpam-2310	104	28	γ	γ	X
ejpam-2310	104	29	>	>	X
ejpam-2310	104	30	0,α	0,α	PROPN
ejpam-2310	104	31	>	>	X
ejpam-2310	104	32	t∗	t∗	PROPN
ejpam-2310	104	33	=	=	SYM
ejpam-2310	104	34	∞	∞	NUM
ejpam-2310	104	35	∑	∑	PROPN
ejpam-2310	104	36	k=0	k=0	PROPN
ejpam-2310	104	37	t∗kγ	t∗kγ	PROPN
ejpam-2310	104	38	(	(	PUNCT
ejpam-2310	104	39	k	k	NOUN
ejpam-2310	104	40	β+1	β+1	X
ejpam-2310	104	41	)	)	PUNCT
ejpam-2310	104	42	γ	γ	PROPN
ejpam-2310	104	43	k	k	PROPN
ejpam-2310	104	44	β	β	PROPN
ejpam-2310	104	45	for	for	ADP
ejpam-2310	104	46	α=	α=	NOUN
ejpam-2310	104	47	0,γ	0,γ	PROPN
ejpam-2310	104	48	>	>	X
ejpam-2310	104	49	0	0	PUNCT
ejpam-2310	105	1	=	=	SYM
ejpam-2310	105	2	α	α	NOUN
ejpam-2310	105	3	α−	α−	ADP
ejpam-2310	105	4	t∗	t∗	NOUN
ejpam-2310	105	5	,	,	PUNCT
ejpam-2310	105	6	for	for	ADP
ejpam-2310	105	7	γ=	γ=	PROPN
ejpam-2310	105	8	0,α	0,α	PROPN
ejpam-2310	105	9	>	>	X
ejpam-2310	105	10	t∗	t∗	PROPN
ejpam-2310	105	11	thus	thus	ADV
ejpam-2310	105	12	,	,	PUNCT
ejpam-2310	105	13	m(t∗	m(t∗	NOUN
ejpam-2310	105	14	)	)	PUNCT
ejpam-2310	106	1	=	=	NOUN
ejpam-2310	106	2	δ	δ	NOUN
ejpam-2310	106	3	∞	∞	NUM
ejpam-2310	106	4	∑	∑	PUNCT
ejpam-2310	106	5	i=0	i=0	PROPN
ejpam-2310	106	6	∞	∞	PROPN
ejpam-2310	106	7	∑	∑	PUNCT
ejpam-2310	106	8	j=0	j=0	VERB
ejpam-2310	106	9	a(i	a(i	VERB
ejpam-2310	106	10	,	,	PUNCT
ejpam-2310	106	11	j;δ	j;δ	NOUN
ejpam-2310	106	12	,	,	PUNCT
ejpam-2310	106	13	λ	λ	NOUN
ejpam-2310	106	14	)	)	PUNCT
ejpam-2310	106	15	[	[	PUNCT
ejpam-2310	106	16	1−λ	1−λ	NUM
ejpam-2310	106	17	(	(	PUNCT
ejpam-2310	106	18	i	i	PRON
ejpam-2310	106	19	+	+	NUM
ejpam-2310	106	20	j	j	PROPN
ejpam-2310	106	21	+	+	CCONJ
ejpam-2310	106	22	1	1	X
ejpam-2310	106	23	)	)	PUNCT
ejpam-2310	106	24	∞	∞	NUM
ejpam-2310	106	25	∑	∑	PUNCT
ejpam-2310	106	26	k=0	k=0	PROPN
ejpam-2310	106	27	(	(	PUNCT
ejpam-2310	106	28	−(i	−(i	PROPN
ejpam-2310	106	29	+	+	CCONJ
ejpam-2310	106	30	j	j	PROPN
ejpam-2310	106	31	+	+	PROPN
ejpam-2310	106	32	1)γ)k	1)γ)k	PROPN
ejpam-2310	106	33	k	k	PROPN
ejpam-2310	106	34	!	!	PUNCT
ejpam-2310	106	35	{	{	PUNCT
ejpam-2310	107	1	(	(	PUNCT
ejpam-2310	107	2	i	i	NOUN
ejpam-2310	107	3	+	+	NUM
ejpam-2310	107	4	j	j	PROPN
ejpam-2310	107	5	+	+	CCONJ
ejpam-2310	107	6	1)αγ(kβ	1)αγ(kβ	NUM
ejpam-2310	107	7	+	+	CCONJ
ejpam-2310	107	8	1	1	NUM
ejpam-2310	107	9	)	)	PUNCT
ejpam-2310	107	10	(	(	PUNCT
ejpam-2310	107	11	(	(	PUNCT
ejpam-2310	107	12	i	i	PRON
ejpam-2310	107	13	+	+	NUM
ejpam-2310	107	14	j	j	PROPN
ejpam-2310	108	1	+	+	CCONJ
ejpam-2310	108	2	1)α−	1)α−	NUM
ejpam-2310	108	3	t∗)kβ+1	t∗)kβ+1	NOUN
ejpam-2310	109	1	=	=	X
ejpam-2310	109	2	+	+	CCONJ
ejpam-2310	109	3	(	(	PUNCT
ejpam-2310	109	4	i	i	PRON
ejpam-2310	109	5	+	+	NUM
ejpam-2310	109	6	j	j	PROPN
ejpam-2310	109	7	+	+	CCONJ
ejpam-2310	109	8	1)γβγ(k+	1)γβγ(k+	NUM
ejpam-2310	109	9	1)β	1)β	NUM
ejpam-2310	109	10	(	(	PUNCT
ejpam-2310	109	11	(	(	PUNCT
ejpam-2310	109	12	i	i	PRON
ejpam-2310	109	13	+	+	NUM
ejpam-2310	109	14	j	j	PROPN
ejpam-2310	110	1	+	+	CCONJ
ejpam-2310	110	2	1)α−	1)α−	PROPN
ejpam-2310	110	3	t∗)(k+1)β	t∗)(k+1)β	PROPN
ejpam-2310	110	4	+	+	NUM
ejpam-2310	110	5	2λ	2λ	NUM
ejpam-2310	110	6	(	(	PUNCT
ejpam-2310	110	7	i	i	NOUN
ejpam-2310	110	8	+	+	NUM
ejpam-2310	110	9	j	j	PROPN
ejpam-2310	110	10	+	+	CCONJ
ejpam-2310	110	11	2	2	X
ejpam-2310	110	12	)	)	PUNCT
ejpam-2310	110	13	∞	∞	NUM
ejpam-2310	110	14	∑	∑	PUNCT
ejpam-2310	110	15	k=0	k=0	PROPN
ejpam-2310	110	16	(	(	PUNCT
ejpam-2310	110	17	−(i	−(i	PROPN
ejpam-2310	110	18	+	+	CCONJ
ejpam-2310	110	19	j	j	PROPN
ejpam-2310	110	20	+	+	PROPN
ejpam-2310	110	21	2)γ)k	2)γ)k	PROPN
ejpam-2310	111	1	k	k	NOUN
ejpam-2310	111	2	!	!	PUNCT
ejpam-2310	111	3	×	×	NOUN
ejpam-2310	111	4	{	{	PUNCT
ejpam-2310	111	5	(	(	PUNCT
ejpam-2310	111	6	i	i	NOUN
ejpam-2310	111	7	+	+	NUM
ejpam-2310	111	8	j	j	PROPN
ejpam-2310	111	9	+	+	NOUN
ejpam-2310	111	10	2)αγ(kβ	2)αγ(kβ	NUM
ejpam-2310	112	1	+	+	CCONJ
ejpam-2310	112	2	1	1	NUM
ejpam-2310	112	3	)	)	PUNCT
ejpam-2310	112	4	(	(	PUNCT
ejpam-2310	112	5	(	(	PUNCT
ejpam-2310	112	6	i	i	PRON
ejpam-2310	112	7	+	+	NUM
ejpam-2310	112	8	j	j	PROPN
ejpam-2310	112	9	+	+	NUM
ejpam-2310	112	10	2)α−	2)α−	NUM
ejpam-2310	112	11	t∗)kβ+1	t∗)kβ+1	NOUN
ejpam-2310	112	12	+	+	CCONJ
ejpam-2310	112	13	(	(	PUNCT
ejpam-2310	112	14	i	i	PRON
ejpam-2310	112	15	+	+	NUM
ejpam-2310	112	16	j	j	NOUN
ejpam-2310	112	17	+	+	CCONJ
ejpam-2310	112	18	2)γβγ(k+	2)γβγ(k+	NUM
ejpam-2310	112	19	1)β	1)β	NUM
ejpam-2310	112	20	(	(	PUNCT
ejpam-2310	112	21	(	(	PUNCT
ejpam-2310	112	22	i	i	PRON
ejpam-2310	112	23	+	+	NUM
ejpam-2310	112	24	j	j	PROPN
ejpam-2310	113	1	+	+	CCONJ
ejpam-2310	113	2	2)α−	2)α−	NUM
ejpam-2310	113	3	t∗)(k+1)β	t∗)(k+1)β	PROPN
ejpam-2310	113	4	}	}	PUNCT
ejpam-2310	113	5	]	]	PUNCT
ejpam-2310	113	6	,	,	PUNCT
ejpam-2310	113	7	for	for	ADP
ejpam-2310	113	8	α	α	NOUN
ejpam-2310	113	9	,	,	PUNCT
ejpam-2310	113	10	γ	γ	X
ejpam-2310	113	11	>	>	X
ejpam-2310	113	12	0,α	0,α	PROPN
ejpam-2310	113	13	>	>	X
ejpam-2310	113	14	t∗	t∗	PROPN
ejpam-2310	113	15	,	,	PUNCT
ejpam-2310	113	16	=	=	NOUN
ejpam-2310	113	17	δ	δ	NOUN
ejpam-2310	113	18	∞	∞	NUM
ejpam-2310	113	19	∑	∑	PUNCT
ejpam-2310	113	20	i=0	i=0	PROPN
ejpam-2310	113	21	∞	∞	PROPN
ejpam-2310	113	22	∑	∑	PUNCT
ejpam-2310	113	23	j=0	j=0	VERB
ejpam-2310	113	24	a(i	a(i	VERB
ejpam-2310	113	25	,	,	PUNCT
ejpam-2310	113	26	j;δ	j;δ	NOUN
ejpam-2310	113	27	,	,	PUNCT
ejpam-2310	113	28	λ	λ	NOUN
ejpam-2310	113	29	)	)	PUNCT
ejpam-2310	113	30	[	[	PUNCT
ejpam-2310	113	31	1−λ	1−λ	NUM
ejpam-2310	113	32	(	(	PUNCT
ejpam-2310	113	33	i	i	PRON
ejpam-2310	113	34	+	+	NUM
ejpam-2310	113	35	j	j	PROPN
ejpam-2310	114	1	+	+	CCONJ
ejpam-2310	114	2	1	1	X
ejpam-2310	114	3	)	)	PUNCT
ejpam-2310	114	4	∞	∞	NUM
ejpam-2310	114	5	∑	∑	PROPN
ejpam-2310	114	6	k=0	k=0	PROPN
ejpam-2310	114	7	t∗kγ	t∗kγ	PROPN
ejpam-2310	114	8	(	(	PUNCT
ejpam-2310	114	9	k	k	NOUN
ejpam-2310	114	10	β+1	β+1	X
ejpam-2310	114	11	)	)	PUNCT
ejpam-2310	114	12	{	{	PUNCT
ejpam-2310	114	13	(	(	PUNCT
ejpam-2310	114	14	i	i	NOUN
ejpam-2310	114	15	+	+	NUM
ejpam-2310	114	16	j	j	PROPN
ejpam-2310	114	17	+	+	CCONJ
ejpam-2310	114	18	1)γ	1)γ	PROPN
ejpam-2310	114	19	}	}	PUNCT
ejpam-2310	114	20	k	k	NOUN
ejpam-2310	114	21	β	β	X
ejpam-2310	114	22	+	+	CCONJ
ejpam-2310	114	23	2λ	2λ	NUM
ejpam-2310	114	24	(	(	PUNCT
ejpam-2310	114	25	i	i	NOUN
ejpam-2310	114	26	+	+	NUM
ejpam-2310	114	27	j	j	PROPN
ejpam-2310	114	28	+	+	CCONJ
ejpam-2310	114	29	2	2	X
ejpam-2310	114	30	)	)	PUNCT
ejpam-2310	114	31	∞	∞	NUM
ejpam-2310	114	32	∑	∑	PROPN
ejpam-2310	114	33	k=0	k=0	PROPN
ejpam-2310	114	34	t∗kγ	t∗kγ	PROPN
ejpam-2310	114	35	(	(	PUNCT
ejpam-2310	114	36	k	k	NOUN
ejpam-2310	114	37	β+1	β+1	X
ejpam-2310	114	38	)	)	PUNCT
ejpam-2310	114	39	{	{	PUNCT
ejpam-2310	114	40	(	(	PUNCT
ejpam-2310	114	41	i	i	PRON
ejpam-2310	114	42	+	+	NUM
ejpam-2310	114	43	j	j	PROPN
ejpam-2310	114	44	+	+	CCONJ
ejpam-2310	114	45	2)γ	2)γ	NUM
ejpam-2310	114	46	}	}	PUNCT
ejpam-2310	114	47	k	k	PROPN
ejpam-2310	114	48	β	β	X
ejpam-2310	114	49	,	,	PUNCT
ejpam-2310	114	50	for	for	ADP
ejpam-2310	114	51	alpha	alpha	NOUN
ejpam-2310	114	52	=	=	PUNCT
ejpam-2310	114	53	0,γ	0,γ	PROPN
ejpam-2310	114	54	>	>	X
ejpam-2310	114	55	0	0	NUM
ejpam-2310	114	56	,	,	PUNCT
ejpam-2310	114	57	=	=	NOUN
ejpam-2310	114	58	δ	δ	NOUN
ejpam-2310	114	59	∞	∞	NUM
ejpam-2310	114	60	∑	∑	PUNCT
ejpam-2310	114	61	i=0	i=0	PROPN
ejpam-2310	114	62	∞	∞	PROPN
ejpam-2310	114	63	∑	∑	PUNCT
ejpam-2310	114	64	j=0	j=0	VERB
ejpam-2310	114	65	a(i	a(i	VERB
ejpam-2310	114	66	,	,	PUNCT
ejpam-2310	114	67	j;δ	j;δ	NOUN
ejpam-2310	114	68	,	,	PUNCT
ejpam-2310	114	69	λ	λ	NOUN
ejpam-2310	114	70	)	)	PUNCT
ejpam-2310	114	71	[	[	PUNCT
ejpam-2310	114	72	1−λ	1−λ	NUM
ejpam-2310	114	73	(	(	PUNCT
ejpam-2310	114	74	i	i	PRON
ejpam-2310	114	75	+	+	NUM
ejpam-2310	114	76	j	j	PROPN
ejpam-2310	115	1	+	+	NOUN
ejpam-2310	115	2	1	1	NUM
ejpam-2310	115	3	)	)	PUNCT
ejpam-2310	115	4	(	(	PUNCT
ejpam-2310	115	5	i	i	PRON
ejpam-2310	115	6	+	+	NUM
ejpam-2310	115	7	j	j	PROPN
ejpam-2310	115	8	+	+	CCONJ
ejpam-2310	115	9	1)α	1)α	NUM
ejpam-2310	115	10	{	{	PUNCT
ejpam-2310	115	11	(	(	PUNCT
ejpam-2310	115	12	i	i	NOUN
ejpam-2310	115	13	+	+	NUM
ejpam-2310	115	14	j	j	PROPN
ejpam-2310	116	1	+	+	CCONJ
ejpam-2310	116	2	1)α−	1)α−	NUM
ejpam-2310	116	3	t∗	t∗	NOUN
ejpam-2310	116	4	}	}	PUNCT
ejpam-2310	117	1	+	+	NUM
ejpam-2310	117	2	2λ	2λ	NUM
ejpam-2310	117	3	(	(	PUNCT
ejpam-2310	117	4	i	i	NOUN
ejpam-2310	117	5	+	+	NUM
ejpam-2310	117	6	j	j	PROPN
ejpam-2310	117	7	+	+	CCONJ
ejpam-2310	117	8	2	2	NUM
ejpam-2310	117	9	)	)	PUNCT
ejpam-2310	117	10	(	(	PUNCT
ejpam-2310	117	11	i	i	PRON
ejpam-2310	117	12	+	+	NUM
ejpam-2310	117	13	j	j	PROPN
ejpam-2310	117	14	+	+	CCONJ
ejpam-2310	117	15	2)α	2)α	NUM
ejpam-2310	117	16	{	{	PUNCT
ejpam-2310	117	17	(	(	PUNCT
ejpam-2310	117	18	i	i	NOUN
ejpam-2310	117	19	+	+	NUM
ejpam-2310	117	20	j	j	PROPN
ejpam-2310	117	21	+	+	CCONJ
ejpam-2310	117	22	2)α−	2)α−	NUM
ejpam-2310	117	23	t∗	t∗	NOUN
ejpam-2310	117	24	}	}	PUNCT
ejpam-2310	117	25	]	]	PUNCT
ejpam-2310	117	26	,	,	PUNCT
ejpam-2310	117	27	for	for	ADP
ejpam-2310	117	28	γ=	γ=	PROPN
ejpam-2310	117	29	0,α	0,α	PROPN
ejpam-2310	117	30	>	>	X
ejpam-2310	117	31	t∗	t∗	NOUN
ejpam-2310	117	32	(	(	PUNCT
ejpam-2310	117	33	10	10	NUM
ejpam-2310	117	34	)	)	PUNCT
ejpam-2310	117	35	the	the	DET
ejpam-2310	117	36	moments	moment	NOUN
ejpam-2310	117	37	can	can	AUX
ejpam-2310	117	38	be	be	AUX
ejpam-2310	117	39	independently	independently	ADV
ejpam-2310	117	40	derived	derive	VERB
ejpam-2310	117	41	as	as	SCONJ
ejpam-2310	117	42	follows	follow	VERB
ejpam-2310	117	43	:	:	PUNCT
ejpam-2310	117	44	µr	µr	ADP
ejpam-2310	117	45	=	=	PUNCT
ejpam-2310	117	46	e{x	e{x	NOUN
ejpam-2310	117	47	r	r	NOUN
ejpam-2310	117	48	}	}	PUNCT
ejpam-2310	117	49	=	=	NOUN
ejpam-2310	117	50	δ	δ	NOUN
ejpam-2310	117	51	∞	∞	NUM
ejpam-2310	117	52	∑	∑	PUNCT
ejpam-2310	117	53	i=0	i=0	PROPN
ejpam-2310	117	54	∞	∞	PROPN
ejpam-2310	117	55	∑	∑	PUNCT
ejpam-2310	117	56	j=0	j=0	VERB
ejpam-2310	117	57	a(i	a(i	VERB
ejpam-2310	117	58	,	,	PUNCT
ejpam-2310	117	59	j;δ	j;δ	NOUN
ejpam-2310	117	60	,	,	PUNCT
ejpam-2310	117	61	λ	λ	NOUN
ejpam-2310	117	62	)	)	PUNCT
ejpam-2310	117	63	[	[	PUNCT
ejpam-2310	117	64	1−λ	1−λ	NUM
ejpam-2310	117	65	i	i	NOUN
ejpam-2310	117	66	+	+	CCONJ
ejpam-2310	117	67	j	j	PROPN
ejpam-2310	117	68	+	+	CCONJ
ejpam-2310	117	69	1	1	NUM
ejpam-2310	117	70	µmw	µmw	PROPN
ejpam-2310	117	71	r	r	NOUN
ejpam-2310	117	72	(	(	PUNCT
ejpam-2310	117	73	(	(	PUNCT
ejpam-2310	117	74	i	i	PRON
ejpam-2310	117	75	+	+	NUM
ejpam-2310	117	76	j	j	PROPN
ejpam-2310	118	1	+	+	PROPN
ejpam-2310	118	2	1)α	1)α	NUM
ejpam-2310	118	3	,	,	PUNCT
ejpam-2310	118	4	(	(	PUNCT
ejpam-2310	118	5	i	i	PRON
ejpam-2310	118	6	+	+	NUM
ejpam-2310	118	7	j	j	PROPN
ejpam-2310	118	8	+	+	SYM
ejpam-2310	118	9	1)γ	1)γ	PROPN
ejpam-2310	118	10	,	,	PUNCT
ejpam-2310	118	11	β	β	NOUN
ejpam-2310	118	12	)	)	PUNCT
ejpam-2310	119	1	+	+	NUM
ejpam-2310	119	2	2λ	2λ	NUM
ejpam-2310	120	1	i	i	PRON
ejpam-2310	120	2	+	+	NUM
ejpam-2310	120	3	j	j	PROPN
ejpam-2310	120	4	+	+	CCONJ
ejpam-2310	120	5	2	2	NUM
ejpam-2310	120	6	µmw	µmw	PROPN
ejpam-2310	120	7	k	k	NOUN
ejpam-2310	120	8	(	(	PUNCT
ejpam-2310	120	9	(	(	PUNCT
ejpam-2310	120	10	i	i	NOUN
ejpam-2310	120	11	+	+	NUM
ejpam-2310	120	12	j	j	PROPN
ejpam-2310	120	13	+	+	CCONJ
ejpam-2310	120	14	2)α	2)α	NUM
ejpam-2310	120	15	,	,	PUNCT
ejpam-2310	120	16	(	(	PUNCT
ejpam-2310	120	17	i	i	PRON
ejpam-2310	120	18	+	+	NUM
ejpam-2310	120	19	j	j	PROPN
ejpam-2310	120	20	+	+	CCONJ
ejpam-2310	120	21	2)γ	2)γ	NUM
ejpam-2310	120	22	,	,	PUNCT
ejpam-2310	120	23	β	β	NOUN
ejpam-2310	120	24	)	)	PUNCT
ejpam-2310	120	25	,	,	PUNCT
ejpam-2310	120	26	where	where	SCONJ
ejpam-2310	120	27	µmw	µmw	PROPN
ejpam-2310	120	28	r	r	NOUN
ejpam-2310	120	29	(	(	PUNCT
ejpam-2310	120	30	α	α	X
ejpam-2310	120	31	,	,	PUNCT
ejpam-2310	120	32	γ	γ	X
ejpam-2310	120	33	,	,	PUNCT
ejpam-2310	120	34	β	β	NOUN
ejpam-2310	120	35	)	)	PUNCT
ejpam-2310	120	36	denotes	denote	VERB
ejpam-2310	120	37	the	the	DET
ejpam-2310	120	38	r	r	NOUN
ejpam-2310	120	39	-	-	PUNCT
ejpam-2310	120	40	th	th	VERB
ejpam-2310	120	41	moment	moment	NOUN
ejpam-2310	120	42	of	of	ADP
ejpam-2310	120	43	the	the	DET
ejpam-2310	120	44	modified	modify	VERB
ejpam-2310	120	45	weibull	weibull	NOUN
ejpam-2310	120	46	distribution	distribution	NOUN
ejpam-2310	120	47	(	(	PUNCT
ejpam-2310	120	48	2	2	NUM
ejpam-2310	120	49	)	)	PUNCT
ejpam-2310	120	50	.	.	PUNCT
ejpam-2310	121	1	from	from	ADP
ejpam-2310	121	2	sarhan	sarhan	ADV
ejpam-2310	121	3	and	and	CCONJ
ejpam-2310	121	4	zaindin	zaindin	X
ejpam-2310	122	1	[	[	X
ejpam-2310	122	2	8	8	NUM
ejpam-2310	122	3	]	]	PUNCT
ejpam-2310	122	4	we	we	PRON
ejpam-2310	122	5	have	have	VERB
ejpam-2310	122	6	µmw	µmw	PROPN
ejpam-2310	122	7	r	r	NOUN
ejpam-2310	122	8	(	(	PUNCT
ejpam-2310	122	9	α	α	X
ejpam-2310	122	10	,	,	PUNCT
ejpam-2310	122	11	γ	γ	X
ejpam-2310	122	12	,	,	PUNCT
ejpam-2310	122	13	β	β	X
ejpam-2310	122	14	)	)	PUNCT
ejpam-2310	122	15	=	=	SYM
ejpam-2310	122	16			PROPN
ejpam-2310	122	17			X
ejpam-2310	122	18			PROPN
ejpam-2310	122	19			PROPN
ejpam-2310	122	20			NOUN
ejpam-2310	122	21			PROPN
ejpam-2310	122	22			PROPN
ejpam-2310	122	23			PROPN
ejpam-2310	122	24			NOUN
ejpam-2310	122	25	∞	∞	PROPN
ejpam-2310	122	26	∑	∑	PROPN
ejpam-2310	122	27	k=0	k=0	PROPN
ejpam-2310	122	28	(	(	PUNCT
ejpam-2310	122	29	−β)k	−β)k	ADV
ejpam-2310	122	30	k	k	X
ejpam-2310	122	31	!	!	PUNCT
ejpam-2310	122	32	�	�	PROPN
ejpam-2310	122	33	γ(kγ+r+1	γ(kγ+r+1	PROPN
ejpam-2310	122	34	)	)	PUNCT
ejpam-2310	122	35	αkγ+r	αkγ+r	NUM
ejpam-2310	123	1	+	+	CCONJ
ejpam-2310	123	2	βγ	βγ	NUM
ejpam-2310	123	3	γ(r+kγ+γ	γ(r+kγ+γ	PROPN
ejpam-2310	123	4	)	)	PUNCT
ejpam-2310	123	5	αkγ+γ+r	αkγ+γ+r	NOUN
ejpam-2310	123	6	�	�	PROPN
ejpam-2310	123	7	,	,	PUNCT
ejpam-2310	123	8	for	for	ADP
ejpam-2310	123	9	α	α	PRON
ejpam-2310	123	10	,	,	PUNCT
ejpam-2310	123	11	β	β	X
ejpam-2310	123	12	>	>	X
ejpam-2310	123	13	0	0	PUNCT
ejpam-2310	124	1	γ	γ	X
ejpam-2310	124	2	(	(	PUNCT
ejpam-2310	124	3	r	r	NOUN
ejpam-2310	124	4	γ+1	γ+1	PROPN
ejpam-2310	124	5	)	)	PUNCT
ejpam-2310	124	6	β	β	PROPN
ejpam-2310	124	7	r	r	NOUN
ejpam-2310	124	8	γ	γ	X
ejpam-2310	124	9	,	,	PUNCT
ejpam-2310	124	10	for	for	ADP
ejpam-2310	124	11	α=	α=	NOUN
ejpam-2310	124	12	0,β	0,β	NOUN
ejpam-2310	124	13	>	>	X
ejpam-2310	124	14	0	0	NUM
ejpam-2310	124	15	γ(r+1	γ(r+1	NUM
ejpam-2310	124	16	)	)	PUNCT
ejpam-2310	124	17	αr	αr	ADP
ejpam-2310	124	18	,	,	PUNCT
ejpam-2310	124	19	for	for	ADP
ejpam-2310	124	20	α	α	X
ejpam-2310	124	21	>	>	X
ejpam-2310	124	22	0,β	0,β	NUM
ejpam-2310	124	23	=	=	SYM
ejpam-2310	124	24	0	0	X
ejpam-2310	124	25	.	.	PUNCT
ejpam-2310	125	1	(	(	PUNCT
ejpam-2310	125	2	11	11	NUM
ejpam-2310	125	3	)	)	PUNCT
ejpam-2310	125	4	m.	m.	NOUN
ejpam-2310	125	5	pal	pal	NOUN
ejpam-2310	125	6	and	and	CCONJ
ejpam-2310	125	7	m.	m.	NOUN
ejpam-2310	125	8	tiensuwan	tiensuwan	PROPN
ejpam-2310	125	9	/	/	SYM
ejpam-2310	125	10	eur	eur	PROPN
ejpam-2310	125	11	.	.	PUNCT
ejpam-2310	126	1	j.	j.	PROPN
ejpam-2310	126	2	pure	pure	PROPN
ejpam-2310	126	3	appl	appl	PROPN
ejpam-2310	126	4	.	.	PROPN
ejpam-2310	126	5	math	math	PROPN
ejpam-2310	126	6	,	,	PUNCT
ejpam-2310	126	7	8	8	NUM
ejpam-2310	126	8	(	(	PUNCT
ejpam-2310	126	9	2015	2015	NUM
ejpam-2310	126	10	)	)	PUNCT
ejpam-2310	126	11	,	,	PUNCT
ejpam-2310	126	12	1	1	NUM
ejpam-2310	126	13	-	-	SYM
ejpam-2310	126	14	14	14	NUM
ejpam-2310	126	15	6	6	NUM
ejpam-2310	126	16	hence	hence	ADV
ejpam-2310	126	17	,	,	PUNCT
ejpam-2310	126	18	we	we	PRON
ejpam-2310	126	19	get	get	VERB
ejpam-2310	126	20	µr	µr	ADP
ejpam-2310	126	21	=	=	NOUN
ejpam-2310	126	22	δ	δ	X
ejpam-2310	126	23	∞	∞	NUM
ejpam-2310	126	24	∑	∑	PUNCT
ejpam-2310	126	25	i=0	i=0	PROPN
ejpam-2310	126	26	∞	∞	PROPN
ejpam-2310	126	27	∑	∑	PUNCT
ejpam-2310	126	28	j=0	j=0	VERB
ejpam-2310	126	29	a(i	a(i	VERB
ejpam-2310	126	30	,	,	PUNCT
ejpam-2310	126	31	j;δ	j;δ	NOUN
ejpam-2310	126	32	,	,	PUNCT
ejpam-2310	126	33	λ	λ	NOUN
ejpam-2310	126	34	)	)	PUNCT
ejpam-2310	126	35	[	[	PUNCT
ejpam-2310	126	36	1−λ	1−λ	NUM
ejpam-2310	126	37	i	i	NOUN
ejpam-2310	126	38	+	+	CCONJ
ejpam-2310	126	39	j	j	PROPN
ejpam-2310	127	1	+	+	CCONJ
ejpam-2310	127	2	1	1	NUM
ejpam-2310	127	3	∞	∞	NUM
ejpam-2310	127	4	∑	∑	PUNCT
ejpam-2310	127	5	k=0	k=0	PROPN
ejpam-2310	127	6	(	(	PUNCT
ejpam-2310	127	7	−β)k	−β)k	ADV
ejpam-2310	127	8	k	k	X
ejpam-2310	127	9	!	!	PUNCT
ejpam-2310	127	10	{	{	PUNCT
ejpam-2310	128	1	γ(k(i	γ(k(i	PROPN
ejpam-2310	128	2	+	+	CCONJ
ejpam-2310	128	3	j	j	PROPN
ejpam-2310	128	4	+	+	CCONJ
ejpam-2310	128	5	1)γ+	1)γ+	NUM
ejpam-2310	128	6	r	r	NOUN
ejpam-2310	128	7	+	+	NOUN
ejpam-2310	128	8	1	1	NUM
ejpam-2310	128	9	)	)	PUNCT
ejpam-2310	128	10	{	{	PUNCT
ejpam-2310	128	11	(	(	PUNCT
ejpam-2310	128	12	i	i	PRON
ejpam-2310	128	13	+	+	NUM
ejpam-2310	128	14	j	j	PROPN
ejpam-2310	128	15	+	+	CCONJ
ejpam-2310	128	16	1)α}k(i+	1)α}k(i+	NUM
ejpam-2310	128	17	j+1)γ+r	j+1)γ+r	VERB
ejpam-2310	128	18	(	(	PUNCT
ejpam-2310	128	19	i	i	PRON
ejpam-2310	128	20	+	+	NUM
ejpam-2310	128	21	j	j	PROPN
ejpam-2310	129	1	+	+	CCONJ
ejpam-2310	129	2	1)βγ	1)βγ	NUM
ejpam-2310	129	3	γ(r	γ(r	PROPN
ejpam-2310	129	4	+	+	CCONJ
ejpam-2310	129	5	{	{	PUNCT
ejpam-2310	129	6	k(i	k(i	PROPN
ejpam-2310	129	7	+	+	PROPN
ejpam-2310	129	8	j	j	PROPN
ejpam-2310	129	9	+	+	CCONJ
ejpam-2310	129	10	1	1	NUM
ejpam-2310	129	11	)	)	PUNCT
ejpam-2310	129	12	+	+	NOUN
ejpam-2310	129	13	1}γ	1}γ	NUM
ejpam-2310	129	14	)	)	PUNCT
ejpam-2310	129	15	{	{	PUNCT
ejpam-2310	129	16	(	(	PUNCT
ejpam-2310	129	17	i	i	NOUN
ejpam-2310	129	18	+	+	NUM
ejpam-2310	129	19	j	j	PROPN
ejpam-2310	129	20	+	+	CCONJ
ejpam-2310	129	21	1)α}{k(i+	1)α}{k(i+	NUM
ejpam-2310	129	22	j+1)+1}γ+r	j+1)+1}γ+r	NOUN
ejpam-2310	129	23	}	}	PUNCT
ejpam-2310	129	24	+	+	NUM
ejpam-2310	129	25	2λ	2λ	NUM
ejpam-2310	130	1	i	i	PRON
ejpam-2310	130	2	+	+	NUM
ejpam-2310	130	3	j	j	PROPN
ejpam-2310	130	4	+	+	CCONJ
ejpam-2310	130	5	2	2	NUM
ejpam-2310	130	6	∞	∞	NUM
ejpam-2310	130	7	∑	∑	X
ejpam-2310	130	8	k=0	k=0	PROPN
ejpam-2310	130	9	(	(	PUNCT
ejpam-2310	130	10	−β)k	−β)k	ADV
ejpam-2310	130	11	k	k	X
ejpam-2310	130	12	!	!	PROPN
ejpam-2310	131	1	×	×	PROPN
ejpam-2310	131	2	γ(k(i	γ(k(i	PROPN
ejpam-2310	131	3	+	+	CCONJ
ejpam-2310	131	4	j	j	PROPN
ejpam-2310	132	1	+	+	CCONJ
ejpam-2310	132	2	2)γ+	2)γ+	NUM
ejpam-2310	132	3	r	r	NOUN
ejpam-2310	132	4	+	+	NOUN
ejpam-2310	132	5	2	2	NUM
ejpam-2310	132	6	)	)	PUNCT
ejpam-2310	132	7	{	{	PUNCT
ejpam-2310	132	8	(	(	PUNCT
ejpam-2310	132	9	i	i	PRON
ejpam-2310	132	10	+	+	NUM
ejpam-2310	132	11	j	j	PROPN
ejpam-2310	133	1	+	+	CCONJ
ejpam-2310	133	2	2)α}k(i+	2)α}k(i+	PROPN
ejpam-2310	133	3	j+2)γ+r	j+2)γ+r	PROPN
ejpam-2310	134	1	+	+	CCONJ
ejpam-2310	134	2	(	(	PUNCT
ejpam-2310	134	3	i	i	PRON
ejpam-2310	134	4	+	+	NUM
ejpam-2310	134	5	j	j	PROPN
ejpam-2310	134	6	+	+	CCONJ
ejpam-2310	134	7	2)βγ	2)βγ	NUM
ejpam-2310	134	8	γ(r	γ(r	PROPN
ejpam-2310	134	9	+	+	CCONJ
ejpam-2310	134	10	{	{	PUNCT
ejpam-2310	134	11	k(i	k(i	PROPN
ejpam-2310	134	12	+	+	PROPN
ejpam-2310	134	13	j	j	PROPN
ejpam-2310	134	14	+	+	CCONJ
ejpam-2310	134	15	2	2	NUM
ejpam-2310	134	16	)	)	PUNCT
ejpam-2310	134	17	+	+	NOUN
ejpam-2310	134	18	1}γ	1}γ	NUM
ejpam-2310	134	19	)	)	PUNCT
ejpam-2310	134	20	{	{	PUNCT
ejpam-2310	134	21	(	(	PUNCT
ejpam-2310	134	22	i	i	NOUN
ejpam-2310	134	23	+	+	NUM
ejpam-2310	134	24	j	j	PROPN
ejpam-2310	134	25	+	+	SYM
ejpam-2310	134	26	2)α}{k(i+	2)α}{k(i+	PROPN
ejpam-2310	134	27	j+2)+1}γ+r	j+2)+1}γ+r	NOUN
ejpam-2310	134	28	}	}	PUNCT
ejpam-2310	134	29	,	,	PUNCT
ejpam-2310	134	30	for	for	ADP
ejpam-2310	134	31	α	α	PRON
ejpam-2310	134	32	,	,	PUNCT
ejpam-2310	134	33	β	β	X
ejpam-2310	134	34	>	>	X
ejpam-2310	134	35	0	0	PUNCT
ejpam-2310	135	1	=	=	ADJ
ejpam-2310	135	2	δ	δ	NOUN
ejpam-2310	135	3	∞	∞	NUM
ejpam-2310	135	4	∑	∑	PUNCT
ejpam-2310	135	5	i=0	i=0	PROPN
ejpam-2310	135	6	∞	∞	PROPN
ejpam-2310	135	7	∑	∑	PUNCT
ejpam-2310	135	8	j=0	j=0	VERB
ejpam-2310	135	9	a(i	a(i	VERB
ejpam-2310	135	10	,	,	PUNCT
ejpam-2310	135	11	j;δ	j;δ	NOUN
ejpam-2310	135	12	,	,	PUNCT
ejpam-2310	135	13	λ	λ	NOUN
ejpam-2310	135	14	)	)	PUNCT
ejpam-2310	135	15	[	[	PUNCT
ejpam-2310	135	16	1−λ	1−λ	NUM
ejpam-2310	135	17	i	i	NOUN
ejpam-2310	135	18	+	+	CCONJ
ejpam-2310	135	19	j	j	PROPN
ejpam-2310	136	1	+	+	CCONJ
ejpam-2310	136	2	1	1	NUM
ejpam-2310	136	3	(	(	PUNCT
ejpam-2310	136	4	r	r	NOUN
ejpam-2310	136	5	(	(	PUNCT
ejpam-2310	136	6	i	i	PRON
ejpam-2310	136	7	+	+	NUM
ejpam-2310	136	8	j	j	PROPN
ejpam-2310	136	9	+	+	CCONJ
ejpam-2310	136	10	1)γ	1)γ	PROPN
ejpam-2310	136	11	+	+	CCONJ
ejpam-2310	136	12	1)/β	1)/β	NUM
ejpam-2310	136	13	r	r	NOUN
ejpam-2310	136	14	(	(	PUNCT
ejpam-2310	136	15	i+	i+	NOUN
ejpam-2310	136	16	j+1)γ	j+1)γ	PROPN
ejpam-2310	136	17	+	+	NUM
ejpam-2310	136	18	2λ	2λ	NUM
ejpam-2310	137	1	i	i	NOUN
ejpam-2310	137	2	+	+	NUM
ejpam-2310	137	3	j	j	PROPN
ejpam-2310	137	4	+	+	CCONJ
ejpam-2310	137	5	2	2	NUM
ejpam-2310	137	6	(	(	PUNCT
ejpam-2310	137	7	r	r	NOUN
ejpam-2310	137	8	(	(	PUNCT
ejpam-2310	137	9	i	i	PRON
ejpam-2310	137	10	+	+	NUM
ejpam-2310	137	11	j	j	PROPN
ejpam-2310	137	12	+	+	NUM
ejpam-2310	137	13	2)γ	2)γ	NUM
ejpam-2310	137	14	+	+	CCONJ
ejpam-2310	137	15	1)/β	1)/β	NUM
ejpam-2310	137	16	r	r	NOUN
ejpam-2310	137	17	(	(	PUNCT
ejpam-2310	137	18	i+	i+	INTJ
ejpam-2310	137	19	j+2)γ	j+2)γ	PROPN
ejpam-2310	137	20	,	,	PUNCT
ejpam-2310	137	21	for	for	ADP
ejpam-2310	137	22	α=	α=	NOUN
ejpam-2310	137	23	0,β	0,β	NOUN
ejpam-2310	137	24	>	>	X
ejpam-2310	137	25	0	0	PUNCT
ejpam-2310	138	1	=	=	ADJ
ejpam-2310	138	2	δ	δ	NOUN
ejpam-2310	138	3	∞	∞	NUM
ejpam-2310	138	4	∑	∑	PUNCT
ejpam-2310	138	5	i=0	i=0	PROPN
ejpam-2310	138	6	∞	∞	PROPN
ejpam-2310	138	7	∑	∑	PUNCT
ejpam-2310	138	8	j=0	j=0	VERB
ejpam-2310	138	9	a(i	a(i	VERB
ejpam-2310	138	10	,	,	PUNCT
ejpam-2310	138	11	j;δ	j;δ	NOUN
ejpam-2310	138	12	,	,	PUNCT
ejpam-2310	138	13	λ	λ	NOUN
ejpam-2310	138	14	)	)	PUNCT
ejpam-2310	138	15	[	[	PUNCT
ejpam-2310	138	16	1−λ	1−λ	NUM
ejpam-2310	138	17	i	i	NOUN
ejpam-2310	138	18	+	+	CCONJ
ejpam-2310	138	19	j	j	PROPN
ejpam-2310	138	20	+	+	CCONJ
ejpam-2310	138	21	1	1	NUM
ejpam-2310	138	22	γ(r	γ(r	NOUN
ejpam-2310	138	23	+	+	CCONJ
ejpam-2310	138	24	1	1	X
ejpam-2310	138	25	)	)	PUNCT
ejpam-2310	138	26	{	{	PUNCT
ejpam-2310	138	27	(	(	PUNCT
ejpam-2310	138	28	i	i	NOUN
ejpam-2310	138	29	+	+	NUM
ejpam-2310	138	30	j	j	PROPN
ejpam-2310	138	31	+	+	CCONJ
ejpam-2310	138	32	1)α}r	1)α}r	NUM
ejpam-2310	138	33	+	+	CCONJ
ejpam-2310	138	34	2λ	2λ	NUM
ejpam-2310	139	1	i	i	PRON
ejpam-2310	139	2	+	+	NUM
ejpam-2310	139	3	j	j	PROPN
ejpam-2310	139	4	+	+	CCONJ
ejpam-2310	139	5	2	2	NUM
ejpam-2310	139	6	γ(r	γ(r	NOUN
ejpam-2310	139	7	+	+	CCONJ
ejpam-2310	139	8	1	1	X
ejpam-2310	139	9	)	)	PUNCT
ejpam-2310	139	10	{	{	PUNCT
ejpam-2310	139	11	(	(	PUNCT
ejpam-2310	139	12	i	i	NOUN
ejpam-2310	139	13	+	+	NUM
ejpam-2310	139	14	j	j	PROPN
ejpam-2310	139	15	+	+	X
ejpam-2310	139	16	2)α}r	2)α}r	PROPN
ejpam-2310	139	17	]	]	PUNCT
ejpam-2310	139	18	,	,	PUNCT
ejpam-2310	139	19	for	for	ADP
ejpam-2310	139	20	α	α	X
ejpam-2310	139	21	>	>	X
ejpam-2310	139	22	0,β	0,β	PUNCT
ejpam-2310	139	23	=	=	SYM
ejpam-2310	139	24	0	0	PUNCT
ejpam-2310	139	25	(	(	PUNCT
ejpam-2310	139	26	12	12	NUM
ejpam-2310	139	27	)	)	PUNCT
ejpam-2310	139	28	5	5	NUM
ejpam-2310	139	29	.	.	PUNCT
ejpam-2310	140	1	mean	mean	VERB
ejpam-2310	140	2	deviation	deviation	NOUN
ejpam-2310	140	3	the	the	DET
ejpam-2310	140	4	amount	amount	NOUN
ejpam-2310	140	5	of	of	ADP
ejpam-2310	140	6	scatter	scatter	NOUN
ejpam-2310	140	7	in	in	ADP
ejpam-2310	140	8	a	a	DET
ejpam-2310	140	9	population	population	NOUN
ejpam-2310	140	10	is	be	AUX
ejpam-2310	140	11	evidently	evidently	ADV
ejpam-2310	140	12	measured	measure	VERB
ejpam-2310	140	13	to	to	ADP
ejpam-2310	140	14	some	some	DET
ejpam-2310	140	15	extent	extent	NOUN
ejpam-2310	140	16	by	by	ADP
ejpam-2310	140	17	the	the	DET
ejpam-2310	140	18	totality	totality	NOUN
ejpam-2310	140	19	of	of	ADP
ejpam-2310	140	20	deviations	deviation	NOUN
ejpam-2310	140	21	from	from	ADP
ejpam-2310	140	22	the	the	DET
ejpam-2310	140	23	mean	mean	NOUN
ejpam-2310	140	24	and	and	CCONJ
ejpam-2310	140	25	the	the	DET
ejpam-2310	140	26	median	median	NOUN
ejpam-2310	140	27	.	.	PUNCT
ejpam-2310	141	1	if	if	SCONJ
ejpam-2310	141	2	x	x	PRON
ejpam-2310	141	3	has	have	VERB
ejpam-2310	141	4	a	a	DET
ejpam-2310	141	5	etmw	etmw	NOUN
ejpam-2310	141	6	distribution	distribution	NOUN
ejpam-2310	141	7	,	,	PUNCT
ejpam-2310	141	8	then	then	ADV
ejpam-2310	141	9	we	we	PRON
ejpam-2310	141	10	can	can	AUX
ejpam-2310	141	11	derive	derive	VERB
ejpam-2310	141	12	the	the	DET
ejpam-2310	141	13	mean	mean	ADJ
ejpam-2310	141	14	deviations	deviation	NOUN
ejpam-2310	141	15	about	about	ADP
ejpam-2310	141	16	the	the	DET
ejpam-2310	141	17	mean	mean	ADJ
ejpam-2310	141	18	µ=	µ=	NOUN
ejpam-2310	141	19	e(x	e(x	NUM
ejpam-2310	141	20	)	)	PUNCT
ejpam-2310	141	21	and	and	CCONJ
ejpam-2310	141	22	about	about	ADP
ejpam-2310	141	23	the	the	DET
ejpam-2310	141	24	median	median	ADJ
ejpam-2310	141	25	m	m	NOUN
ejpam-2310	141	26	as	as	ADP
ejpam-2310	141	27	η1	η1	NOUN
ejpam-2310	141	28	=	=	SYM
ejpam-2310	141	29	∫	∫	PROPN
ejpam-2310	141	30	∞	∞	NOUN
ejpam-2310	141	31	0	0	NUM
ejpam-2310	142	1	|	|	ADV
ejpam-2310	142	2	x	x	INTJ
ejpam-2310	142	3	−µ	−µ	NOUN
ejpam-2310	142	4	|	|	ADV
ejpam-2310	142	5	f	f	X
ejpam-2310	142	6	(	(	PUNCT
ejpam-2310	142	7	x)d	x)d	X
ejpam-2310	142	8	x	x	X
ejpam-2310	142	9	,	,	PUNCT
ejpam-2310	142	10	η2	η2	X
ejpam-2310	142	11	=	=	PUNCT
ejpam-2310	142	12	∫	∫	PROPN
ejpam-2310	142	13	∞	∞	NOUN
ejpam-2310	142	14	0	0	NUM
ejpam-2310	143	1	|	|	ADV
ejpam-2310	143	2	x	x	SYM
ejpam-2310	143	3	−m	−m	NOUN
ejpam-2310	143	4	|	|	NOUN
ejpam-2310	143	5	f	f	X
ejpam-2310	143	6	(	(	PUNCT
ejpam-2310	143	7	x)d	x)d	PUNCT
ejpam-2310	143	8	x	x	X
ejpam-2310	143	9	.	.	PUNCT
ejpam-2310	144	1	the	the	DET
ejpam-2310	144	2	mean	mean	NOUN
ejpam-2310	144	3	of	of	ADP
ejpam-2310	144	4	the	the	DET
ejpam-2310	144	5	distribution	distribution	NOUN
ejpam-2310	144	6	is	be	AUX
ejpam-2310	144	7	obtained	obtain	VERB
ejpam-2310	144	8	from	from	ADP
ejpam-2310	144	9	(	(	PUNCT
ejpam-2310	144	10	12	12	NUM
ejpam-2310	144	11	)	)	PUNCT
ejpam-2310	144	12	by	by	ADP
ejpam-2310	144	13	putting	put	VERB
ejpam-2310	144	14	r	r	NOUN
ejpam-2310	144	15	=	=	SYM
ejpam-2310	144	16	1	1	NUM
ejpam-2310	144	17	,	,	PUNCT
ejpam-2310	144	18	and	and	CCONJ
ejpam-2310	144	19	the	the	DET
ejpam-2310	144	20	median	median	NOUN
ejpam-2310	144	21	is	be	AUX
ejpam-2310	144	22	obtained	obtain	VERB
ejpam-2310	144	23	by	by	ADP
ejpam-2310	144	24	solving	solve	VERB
ejpam-2310	144	25	the	the	DET
ejpam-2310	144	26	equation	equation	NOUN
ejpam-2310	144	27	γmβ	γmβ	NOUN
ejpam-2310	145	1	+	+	NOUN
ejpam-2310	145	2	αm	αm	NOUN
ejpam-2310	145	3	=	=	PUNCT
ejpam-2310	145	4	−	−	PROPN
ejpam-2310	145	5	ln(ν0	ln(ν0	PROPN
ejpam-2310	145	6	)	)	PUNCT
ejpam-2310	145	7	,	,	PUNCT
ejpam-2310	145	8	where	where	SCONJ
ejpam-2310	145	9	ν0	ν0	PROPN
ejpam-2310	145	10	is	be	AUX
ejpam-2310	145	11	given	give	VERB
ejpam-2310	145	12	by	by	ADP
ejpam-2310	145	13	ν0	ν0	PROPN
ejpam-2310	145	14	=	=	SYM
ejpam-2310	145	15	−(1−λ	−(1−λ	PROPN
ejpam-2310	145	16	)	)	PUNCT
ejpam-2310	146	1	+	+	CCONJ
ejpam-2310	146	2	p	p	X
ejpam-2310	146	3	(	(	PUNCT
ejpam-2310	146	4	1−λ)2	1−λ)2	NUM
ejpam-2310	146	5	+	+	SYM
ejpam-2310	146	6	4λ(1−	4λ(1−	NUM
ejpam-2310	146	7	(	(	PUNCT
ejpam-2310	146	8	0.5)1	0.5)1	PROPN
ejpam-2310	146	9	/	/	SYM
ejpam-2310	146	10	δ	δ	PROPN
ejpam-2310	146	11	)	)	PUNCT
ejpam-2310	146	12	2λ	2λ	NOUN
ejpam-2310	146	13	,	,	PUNCT
ejpam-2310	146	14	if	if	SCONJ
ejpam-2310	146	15	λ	λ	X
ejpam-2310	146	16	6=	6=	SYM
ejpam-2310	146	17	0	0	NUM
ejpam-2310	146	18	=	=	SYM
ejpam-2310	146	19	1−	1−	NUM
ejpam-2310	146	20	(	(	PUNCT
ejpam-2310	146	21	0.5)1	0.5)1	PROPN
ejpam-2310	146	22	/	/	SYM
ejpam-2310	146	23	δ	δ	PROPN
ejpam-2310	146	24	,	,	PUNCT
ejpam-2310	146	25	if	if	SCONJ
ejpam-2310	146	26	λ	λ	PROPN
ejpam-2310	146	27	=	=	SYM
ejpam-2310	146	28	0	0	PROPN
ejpam-2310	146	29	.	.	PUNCT
ejpam-2310	146	30	m.	m.	NOUN
ejpam-2310	146	31	pal	pal	NOUN
ejpam-2310	146	32	and	and	CCONJ
ejpam-2310	146	33	m.	m.	NOUN
ejpam-2310	146	34	tiensuwan	tiensuwan	PROPN
ejpam-2310	146	35	/	/	SYM
ejpam-2310	146	36	eur	eur	PROPN
ejpam-2310	146	37	.	.	PUNCT
ejpam-2310	147	1	j.	j.	PROPN
ejpam-2310	147	2	pure	pure	PROPN
ejpam-2310	147	3	appl	appl	PROPN
ejpam-2310	147	4	.	.	PROPN
ejpam-2310	147	5	math	math	PROPN
ejpam-2310	147	6	,	,	PUNCT
ejpam-2310	147	7	8	8	NUM
ejpam-2310	147	8	(	(	PUNCT
ejpam-2310	147	9	2015	2015	NUM
ejpam-2310	147	10	)	)	PUNCT
ejpam-2310	147	11	,	,	PUNCT
ejpam-2310	147	12	1	1	NUM
ejpam-2310	147	13	-	-	SYM
ejpam-2310	147	14	14	14	NUM
ejpam-2310	147	15	7	7	NUM
ejpam-2310	147	16	6	6	NUM
ejpam-2310	147	17	.	.	PUNCT
ejpam-2310	148	1	order	order	NOUN
ejpam-2310	148	2	statistics	statistic	NOUN
ejpam-2310	148	3	let	let	VERB
ejpam-2310	148	4	t(1	t(1	NOUN
ejpam-2310	148	5	)	)	PUNCT
ejpam-2310	148	6	<	<	X
ejpam-2310	148	7	t(2	t(2	PROPN
ejpam-2310	148	8	)	)	PUNCT
ejpam-2310	148	9	<	<	X
ejpam-2310	148	10	.	.	PUNCT
ejpam-2310	148	11	.	.	PUNCT
ejpam-2310	149	1	.	.	PUNCT
ejpam-2310	150	1	<	<	X
ejpam-2310	150	2	t(n	t(n	PROPN
ejpam-2310	150	3	)	)	PUNCT
ejpam-2310	150	4	be	be	VERB
ejpam-2310	150	5	the	the	DET
ejpam-2310	150	6	ordered	order	VERB
ejpam-2310	150	7	observations	observation	NOUN
ejpam-2310	150	8	in	in	ADP
ejpam-2310	150	9	a	a	DET
ejpam-2310	150	10	random	random	ADJ
ejpam-2310	150	11	sample	sample	NOUN
ejpam-2310	150	12	of	of	ADP
ejpam-2310	150	13	size	size	NOUN
ejpam-2310	150	14	n	n	CCONJ
ejpam-2310	150	15	drawn	draw	VERB
ejpam-2310	150	16	from	from	ADP
ejpam-2310	150	17	the	the	DET
ejpam-2310	150	18	exponentiated	exponentiate	VERB
ejpam-2310	150	19	transmuted	transmute	VERB
ejpam-2310	150	20	modified	modified	ADJ
ejpam-2310	150	21	weibull	weibull	NOUN
ejpam-2310	150	22	distribution	distribution	NOUN
ejpam-2310	150	23	with	with	ADP
ejpam-2310	150	24	cdf	cdf	NOUN
ejpam-2310	150	25	f(t	f(t	NOUN
ejpam-2310	150	26	)	)	PUNCT
ejpam-2310	150	27	,	,	PUNCT
ejpam-2310	150	28	given	give	VERB
ejpam-2310	150	29	by	by	ADP
ejpam-2310	150	30	(	(	PUNCT
ejpam-2310	150	31	4	4	NUM
ejpam-2310	150	32	)	)	PUNCT
ejpam-2310	150	33	and	and	CCONJ
ejpam-2310	150	34	density	density	NOUN
ejpam-2310	150	35	f	f	PROPN
ejpam-2310	150	36	(	(	PUNCT
ejpam-2310	150	37	t	t	PROPN
ejpam-2310	150	38	)	)	PUNCT
ejpam-2310	150	39	,	,	PUNCT
ejpam-2310	150	40	given	give	VERB
ejpam-2310	150	41	by	by	ADP
ejpam-2310	150	42	(	(	PUNCT
ejpam-2310	150	43	5	5	NUM
ejpam-2310	150	44	)	)	PUNCT
ejpam-2310	150	45	.	.	PUNCT
ejpam-2310	151	1	the	the	DET
ejpam-2310	151	2	pdf	pdf	NOUN
ejpam-2310	151	3	of	of	ADP
ejpam-2310	151	4	t	t	PROPN
ejpam-2310	151	5	(	(	PUNCT
ejpam-2310	151	6	r	r	NOUN
ejpam-2310	151	7	)	)	PUNCT
ejpam-2310	151	8	,	,	PUNCT
ejpam-2310	151	9	1≤	1≤	NUM
ejpam-2310	151	10	r	r	NOUN
ejpam-2310	151	11	≤	≤	NUM
ejpam-2310	151	12	n	n	CCONJ
ejpam-2310	151	13	,	,	PUNCT
ejpam-2310	151	14	is	be	AUX
ejpam-2310	151	15	given	give	VERB
ejpam-2310	151	16	by	by	ADP
ejpam-2310	151	17	f(r)(t	f(r)(t	NOUN
ejpam-2310	151	18	)	)	PUNCT
ejpam-2310	151	19	=	=	SYM
ejpam-2310	151	20	n	n	X
ejpam-2310	151	21	!	!	PUNCT
ejpam-2310	152	1	(	(	PUNCT
ejpam-2310	152	2	r	r	NOUN
ejpam-2310	152	3	−	−	PROPN
ejpam-2310	152	4	1)!(n−	1)!(n−	NUM
ejpam-2310	152	5	r	r	NOUN
ejpam-2310	152	6	)	)	PUNCT
ejpam-2310	152	7	!	!	PUNCT
ejpam-2310	153	1	[	[	X
ejpam-2310	153	2	f(t)]r−1[1−	f(t)]r−1[1−	NOUN
ejpam-2310	153	3	f(t)]n−r	f(t)]n−r	PROPN
ejpam-2310	153	4	f	f	PROPN
ejpam-2310	153	5	(	(	PUNCT
ejpam-2310	153	6	t	t	PROPN
ejpam-2310	153	7	)	)	PUNCT
ejpam-2310	153	8	=	=	SYM
ejpam-2310	153	9	n	n	X
ejpam-2310	153	10	!	!	PUNCT
ejpam-2310	154	1	(	(	PUNCT
ejpam-2310	154	2	r	r	NOUN
ejpam-2310	154	3	−	−	PROPN
ejpam-2310	154	4	1)!(n−	1)!(n−	NUM
ejpam-2310	154	5	r	r	NOUN
ejpam-2310	154	6	)	)	PUNCT
ejpam-2310	154	7	!	!	PUNCT
ejpam-2310	155	1	δ[{1−	δ[{1−	PROPN
ejpam-2310	156	1	ex	ex	PRON
ejpam-2310	156	2	p(−αt	p(−αt	NOUN
ejpam-2310	156	3	−	−	PROPN
ejpam-2310	156	4	γtβ	γtβ	NOUN
ejpam-2310	156	5	)	)	PUNCT
ejpam-2310	156	6	}	}	PUNCT
ejpam-2310	156	7	{	{	PUNCT
ejpam-2310	156	8	1+λex	1+λex	NUM
ejpam-2310	156	9	p(−αt	p(−αt	PROPN
ejpam-2310	156	10	−	−	PROPN
ejpam-2310	157	1	γtβ}]δr−1	γtβ}]δr−1	PROPN
ejpam-2310	157	2	×	×	NOUN
ejpam-2310	157	3	[	[	X
ejpam-2310	157	4	1−	1−	NUM
ejpam-2310	157	5	{	{	PUNCT
ejpam-2310	157	6	1−	1−	NUM
ejpam-2310	157	7	ex	ex	NOUN
ejpam-2310	157	8	p(−αt	p(−αt	PROPN
ejpam-2310	157	9	−	−	PROPN
ejpam-2310	157	10	γtβ	γtβ	NOUN
ejpam-2310	157	11	)	)	PUNCT
ejpam-2310	157	12	}	}	PUNCT
ejpam-2310	157	13	δ{1+λex	δ{1+λex	VERB
ejpam-2310	157	14	p(−αt	p(−αt	NOUN
ejpam-2310	157	15	−	−	NOUN
ejpam-2310	157	16	γtβ	γtβ	NOUN
ejpam-2310	157	17	)	)	PUNCT
ejpam-2310	157	18	}	}	PUNCT
ejpam-2310	157	19	δ]n−r(αt	δ]n−r(αt	PROPN
ejpam-2310	157	20	+	+	CCONJ
ejpam-2310	157	21	βγtβ−1)ex	βγtβ−1)ex	NOUN
ejpam-2310	157	22	p(−αt	p(−αt	NOUN
ejpam-2310	157	23	−	−	PROPN
ejpam-2310	157	24	γtβ	γtβ	NOUN
ejpam-2310	157	25	)	)	PUNCT
ejpam-2310	157	26	×	×	NOUN
ejpam-2310	158	1	[	[	X
ejpam-2310	158	2	1−λ+	1−λ+	NUM
ejpam-2310	158	3	2λex	2λex	NUM
ejpam-2310	158	4	p(−αt	p(−αt	NOUN
ejpam-2310	158	5	−	−	PROPN
ejpam-2310	158	6	γtβ	γtβ	NOUN
ejpam-2310	158	7	)	)	PUNCT
ejpam-2310	158	8	]	]	PUNCT
ejpam-2310	158	9	,	,	PUNCT
ejpam-2310	158	10	t	t	PROPN
ejpam-2310	158	11	≥	≥	PROPN
ejpam-2310	158	12	0,α	0,α	PROPN
ejpam-2310	158	13	,	,	PUNCT
ejpam-2310	158	14	β	β	X
ejpam-2310	158	15	,	,	PUNCT
ejpam-2310	158	16	δ	δ	PROPN
ejpam-2310	158	17	>	>	PUNCT
ejpam-2310	158	18	0,λ	0,λ	PUNCT
ejpam-2310	159	1	∈	∈	PROPN
ejpam-2310	160	1	[	[	X
ejpam-2310	160	2	−1,1	−1,1	NOUN
ejpam-2310	160	3	]	]	X
ejpam-2310	160	4	.	.	PUNCT
ejpam-2310	161	1	hence	hence	ADV
ejpam-2310	161	2	the	the	DET
ejpam-2310	161	3	pdf	pdf	NOUN
ejpam-2310	161	4	of	of	ADP
ejpam-2310	161	5	the	the	DET
ejpam-2310	161	6	smallest	small	ADJ
ejpam-2310	161	7	and	and	CCONJ
ejpam-2310	161	8	the	the	DET
ejpam-2310	161	9	largest	large	ADJ
ejpam-2310	161	10	order	order	NOUN
ejpam-2310	161	11	statistics	statistic	NOUN
ejpam-2310	161	12	are	be	AUX
ejpam-2310	161	13	as	as	SCONJ
ejpam-2310	161	14	follows	follow	VERB
ejpam-2310	161	15	:	:	PUNCT
ejpam-2310	161	16	f(1)(t	f(1)(t	X
ejpam-2310	161	17	)	)	PUNCT
ejpam-2310	162	1	=	=	SYM
ejpam-2310	162	2	nδ[{1−	nδ[{1−	PROPN
ejpam-2310	162	3	ex	ex	PRON
ejpam-2310	162	4	p(−αt	p(−αt	NOUN
ejpam-2310	162	5	−	−	PROPN
ejpam-2310	162	6	γtβ	γtβ	NOUN
ejpam-2310	162	7	)	)	PUNCT
ejpam-2310	162	8	}	}	PUNCT
ejpam-2310	162	9	{	{	PUNCT
ejpam-2310	162	10	1+λex	1+λex	NUM
ejpam-2310	162	11	p(−αt	p(−αt	NOUN
ejpam-2310	162	12	−	−	PROPN
ejpam-2310	162	13	γtβ	γtβ	NOUN
ejpam-2310	162	14	)	)	PUNCT
ejpam-2310	162	15	}	}	PUNCT
ejpam-2310	163	1	]	]	PUNCT
ejpam-2310	163	2	δ−1	δ−1	NUM
ejpam-2310	163	3	×	×	NOUN
ejpam-2310	164	1	[	[	X
ejpam-2310	164	2	1−	1−	NUM
ejpam-2310	164	3	{	{	PUNCT
ejpam-2310	164	4	1−	1−	NUM
ejpam-2310	164	5	ex	ex	NOUN
ejpam-2310	164	6	p(−αt	p(−αt	PROPN
ejpam-2310	164	7	−	−	PROPN
ejpam-2310	164	8	γtβ	γtβ	NOUN
ejpam-2310	164	9	)	)	PUNCT
ejpam-2310	164	10	}	}	PUNCT
ejpam-2310	164	11	δ{1+λex	δ{1+λex	VERB
ejpam-2310	164	12	p(−αt	p(−αt	NOUN
ejpam-2310	164	13	−	−	NOUN
ejpam-2310	164	14	γtβ	γtβ	NOUN
ejpam-2310	164	15	)	)	PUNCT
ejpam-2310	164	16	}	}	PUNCT
ejpam-2310	164	17	δ]n−1(αt	δ]n−1(αt	X
ejpam-2310	164	18	+	+	NUM
ejpam-2310	164	19	βγtβ−1)ex	βγtβ−1)ex	PROPN
ejpam-2310	164	20	p(−αt	p(−αt	NOUN
ejpam-2310	164	21	−	−	PROPN
ejpam-2310	164	22	γtβ	γtβ	NOUN
ejpam-2310	164	23	)	)	PUNCT
ejpam-2310	164	24	×	×	NOUN
ejpam-2310	165	1	[	[	X
ejpam-2310	165	2	1−λ+	1−λ+	NUM
ejpam-2310	165	3	2λex	2λex	NUM
ejpam-2310	165	4	p(−αt	p(−αt	NOUN
ejpam-2310	165	5	−	−	PROPN
ejpam-2310	165	6	γtβ	γtβ	NOUN
ejpam-2310	165	7	)	)	PUNCT
ejpam-2310	165	8	]	]	PUNCT
ejpam-2310	165	9	,	,	PUNCT
ejpam-2310	165	10	f(n)(t	f(n)(t	SYM
ejpam-2310	165	11	)	)	PUNCT
ejpam-2310	165	12	=	=	SYM
ejpam-2310	165	13	nδ[{1−	nδ[{1−	PROPN
ejpam-2310	165	14	ex	ex	PRON
ejpam-2310	165	15	p(−αt	p(−αt	NOUN
ejpam-2310	165	16	−	−	PROPN
ejpam-2310	165	17	γtβ	γtβ	NOUN
ejpam-2310	165	18	)	)	PUNCT
ejpam-2310	165	19	}	}	PUNCT
ejpam-2310	165	20	{	{	PUNCT
ejpam-2310	165	21	1+λex	1+λex	NUM
ejpam-2310	165	22	p(−αt	p(−αt	NOUN
ejpam-2310	165	23	−	−	PROPN
ejpam-2310	165	24	γtβ	γtβ	NOUN
ejpam-2310	165	25	)	)	PUNCT
ejpam-2310	165	26	}	}	PUNCT
ejpam-2310	165	27	]	]	SYM
ejpam-2310	165	28	δn−1(αt	δn−1(αt	X
ejpam-2310	165	29	+	+	CCONJ
ejpam-2310	165	30	βγtβ−1	βγtβ−1	NUM
ejpam-2310	165	31	)	)	PUNCT
ejpam-2310	165	32	×	×	NOUN
ejpam-2310	166	1	[	[	X
ejpam-2310	166	2	1−λ+	1−λ+	NUM
ejpam-2310	166	3	2λex	2λex	NUM
ejpam-2310	166	4	p(−αt	p(−αt	NOUN
ejpam-2310	166	5	−	−	PROPN
ejpam-2310	166	6	γtβ	γtβ	NOUN
ejpam-2310	166	7	]	]	X
ejpam-2310	166	8	,	,	PUNCT
ejpam-2310	166	9	t	t	PROPN
ejpam-2310	166	10	≥	≥	PROPN
ejpam-2310	166	11	0,α	0,α	PROPN
ejpam-2310	166	12	,	,	PUNCT
ejpam-2310	166	13	β	β	X
ejpam-2310	166	14	,	,	PUNCT
ejpam-2310	166	15	δ	δ	PROPN
ejpam-2310	166	16	>	>	PUNCT
ejpam-2310	166	17	0,λ	0,λ	PUNCT
ejpam-2310	167	1	∈	∈	PROPN
ejpam-2310	168	1	[	[	X
ejpam-2310	168	2	−1,1	−1,1	X
ejpam-2310	168	3	]	]	X
ejpam-2310	168	4	.	.	PUNCT
ejpam-2310	169	1	the	the	DET
ejpam-2310	169	2	density	density	NOUN
ejpam-2310	169	3	of	of	ADP
ejpam-2310	169	4	the	the	DET
ejpam-2310	169	5	(	(	PUNCT
ejpam-2310	169	6	r+1)-th	r+1)-th	NOUN
ejpam-2310	169	7	order	order	NOUN
ejpam-2310	169	8	statistic	statistic	NOUN
ejpam-2310	169	9	can	can	AUX
ejpam-2310	169	10	be	be	AUX
ejpam-2310	169	11	expressed	express	VERB
ejpam-2310	169	12	as	as	ADP
ejpam-2310	169	13	a	a	DET
ejpam-2310	169	14	function	function	NOUN
ejpam-2310	169	15	of	of	ADP
ejpam-2310	169	16	the	the	DET
ejpam-2310	169	17	density	density	NOUN
ejpam-2310	169	18	of	of	ADP
ejpam-2310	169	19	the	the	DET
ejpam-2310	169	20	r	r	NOUN
ejpam-2310	169	21	-	-	PUNCT
ejpam-2310	169	22	th	th	VERB
ejpam-2310	169	23	order	order	NOUN
ejpam-2310	169	24	statistic	statistic	NOUN
ejpam-2310	169	25	from	from	ADP
ejpam-2310	169	26	the	the	DET
ejpam-2310	169	27	following	follow	VERB
ejpam-2310	169	28	relation	relation	NOUN
ejpam-2310	169	29	:	:	PUNCT
ejpam-2310	169	30	f(r+1)(t	f(r+1)(t	X
ejpam-2310	169	31	)	)	PUNCT
ejpam-2310	170	1	=	=	PUNCT
ejpam-2310	170	2	n−	n−	NOUN
ejpam-2310	170	3	r	r	NOUN
ejpam-2310	170	4	r	r	NOUN
ejpam-2310	170	5	�	�	PROPN
ejpam-2310	170	6	{	{	PUNCT
ejpam-2310	170	7	1−	1−	NUM
ejpam-2310	170	8	(	(	PUNCT
ejpam-2310	170	9	1−	1−	NUM
ejpam-2310	170	10	ex	ex	X
ejpam-2310	170	11	p(−αt	p(−αt	PROPN
ejpam-2310	170	12	−	−	PROPN
ejpam-2310	170	13	γtβ	γtβ	NOUN
ejpam-2310	170	14	)	)	PUNCT
ejpam-2310	170	15	)	)	PUNCT
ejpam-2310	171	1	δ(1+λex	δ(1+λex	PROPN
ejpam-2310	171	2	p(−αt	p(−αt	NOUN
ejpam-2310	171	3	−	−	PROPN
ejpam-2310	171	4	γtβ	γtβ	NOUN
ejpam-2310	171	5	)	)	PUNCT
ejpam-2310	171	6	)	)	PUNCT
ejpam-2310	171	7	δ}]−1	δ}]−1	NOUN
ejpam-2310	171	8	−	−	PROPN
ejpam-2310	171	9	1	1	NUM
ejpam-2310	171	10	�	�	PROPN
ejpam-2310	171	11	f(r)(t	f(r)(t	NOUN
ejpam-2310	171	12	)	)	PUNCT
ejpam-2310	171	13	.	.	PUNCT
ejpam-2310	172	1	the	the	DET
ejpam-2310	172	2	moments	moment	NOUN
ejpam-2310	172	3	of	of	ADP
ejpam-2310	172	4	the	the	DET
ejpam-2310	172	5	order	order	NOUN
ejpam-2310	172	6	statistics	statistic	NOUN
ejpam-2310	172	7	can	can	AUX
ejpam-2310	172	8	be	be	AUX
ejpam-2310	172	9	easily	easily	ADV
ejpam-2310	172	10	written	write	VERB
ejpam-2310	172	11	in	in	ADP
ejpam-2310	172	12	terms	term	NOUN
ejpam-2310	172	13	of	of	ADP
ejpam-2310	172	14	the	the	DET
ejpam-2310	172	15	moments	moment	NOUN
ejpam-2310	172	16	of	of	ADP
ejpam-2310	172	17	the	the	DET
ejpam-2310	172	18	modefied	modefie	VERB
ejpam-2310	172	19	weibull	weibull	NOUN
ejpam-2310	172	20	distribution	distribution	NOUN
ejpam-2310	172	21	by	by	ADP
ejpam-2310	172	22	proceeding	proceed	VERB
ejpam-2310	172	23	as	as	SCONJ
ejpam-2310	172	24	follows	follow	VERB
ejpam-2310	172	25	:	:	PUNCT
ejpam-2310	172	26	we	we	PRON
ejpam-2310	172	27	can	can	AUX
ejpam-2310	172	28	write	write	VERB
ejpam-2310	172	29	f(r)(t	f(r)(t	NOUN
ejpam-2310	172	30	)	)	PUNCT
ejpam-2310	172	31	as	as	ADP
ejpam-2310	172	32	f(r)(t	f(r)(t	NOUN
ejpam-2310	172	33	)	)	PUNCT
ejpam-2310	172	34	=	=	SYM
ejpam-2310	172	35	n	n	X
ejpam-2310	172	36	!	!	PUNCT
ejpam-2310	173	1	(	(	PUNCT
ejpam-2310	173	2	r	r	NOUN
ejpam-2310	173	3	−	−	PROPN
ejpam-2310	173	4	1)!(n−	1)!(n−	NUM
ejpam-2310	173	5	r	r	NOUN
ejpam-2310	173	6	)	)	PUNCT
ejpam-2310	173	7	!	!	PUNCT
ejpam-2310	174	1	δ	δ	X
ejpam-2310	175	1	∞	∞	PROPN
ejpam-2310	175	2	∑	∑	PROPN
ejpam-2310	175	3	i=0	i=0	PROPN
ejpam-2310	175	4	(	(	PUNCT
ejpam-2310	175	5	−1)i	−1)i	X
ejpam-2310	175	6	�	�	PROPN
ejpam-2310	175	7	n−	n−	NOUN
ejpam-2310	175	8	r	r	NOUN
ejpam-2310	175	9	i	i	PRON
ejpam-2310	175	10	�	�	INTJ
ejpam-2310	176	1	[	[	X
ejpam-2310	176	2	{	{	PUNCT
ejpam-2310	176	3	1−	1−	NUM
ejpam-2310	176	4	ex	ex	NOUN
ejpam-2310	176	5	p(−αt	p(−αt	PROPN
ejpam-2310	176	6	−	−	PROPN
ejpam-2310	176	7	γtβ	γtβ	NOUN
ejpam-2310	176	8	)	)	PUNCT
ejpam-2310	176	9	}	}	PUNCT
ejpam-2310	176	10	{	{	PUNCT
ejpam-2310	176	11	1+λex	1+λex	NUM
ejpam-2310	176	12	p(−αt	p(−αt	NOUN
ejpam-2310	176	13	−	−	PROPN
ejpam-2310	176	14	γtβ	γtβ	NOUN
ejpam-2310	176	15	)	)	PUNCT
ejpam-2310	176	16	}	}	PUNCT
ejpam-2310	176	17	]	]	PUNCT
ejpam-2310	176	18	δ(i+r)−1	δ(i+r)−1	NOUN
ejpam-2310	176	19	×	×	NOUN
ejpam-2310	176	20	(	(	PUNCT
ejpam-2310	176	21	α+	α+	X
ejpam-2310	176	22	γβ	γβ	NOUN
ejpam-2310	176	23	tβ−1)ex	tβ−1)ex	NOUN
ejpam-2310	176	24	p(−αt	p(−αt	NOUN
ejpam-2310	176	25	−	−	PROPN
ejpam-2310	176	26	γtβ	γtβ	NOUN
ejpam-2310	176	27	)	)	PUNCT
ejpam-2310	177	1	[	[	X
ejpam-2310	177	2	1−λ+	1−λ+	NUM
ejpam-2310	177	3	2λex	2λex	NUM
ejpam-2310	177	4	p(−αt	p(−αt	NOUN
ejpam-2310	177	5	−	−	PROPN
ejpam-2310	177	6	γtβ	γtβ	NOUN
ejpam-2310	177	7	)	)	PUNCT
ejpam-2310	177	8	]	]	PUNCT
ejpam-2310	178	1	=	=	PUNCT
ejpam-2310	178	2	n	n	X
ejpam-2310	178	3	!	!	PUNCT
ejpam-2310	179	1	(	(	PUNCT
ejpam-2310	179	2	r	r	NOUN
ejpam-2310	179	3	−	−	PROPN
ejpam-2310	179	4	1)!(n−	1)!(n−	NUM
ejpam-2310	179	5	r	r	NOUN
ejpam-2310	179	6	)	)	PUNCT
ejpam-2310	179	7	!	!	PUNCT
ejpam-2310	180	1	∞	∞	PROPN
ejpam-2310	180	2	∑	∑	PUNCT
ejpam-2310	180	3	i=0	i=0	PROPN
ejpam-2310	180	4	(	(	PUNCT
ejpam-2310	180	5	−1)i	−1)i	X
ejpam-2310	180	6	�	�	PROPN
ejpam-2310	180	7	n−	n−	NOUN
ejpam-2310	180	8	r	r	NOUN
ejpam-2310	180	9	i	i	PRON
ejpam-2310	180	10	�	�	PROPN
ejpam-2310	180	11	g(t;α	g(t;α	X
ejpam-2310	180	12	,	,	PUNCT
ejpam-2310	180	13	γ	γ	X
ejpam-2310	180	14	,	,	PUNCT
ejpam-2310	180	15	β	β	X
ejpam-2310	180	16	,	,	PUNCT
ejpam-2310	180	17	λ	λ	PROPN
ejpam-2310	180	18	,	,	PUNCT
ejpam-2310	180	19	δ(i	δ(i	PROPN
ejpam-2310	180	20	+	+	CCONJ
ejpam-2310	180	21	r	r	NOUN
ejpam-2310	180	22	)	)	PUNCT
ejpam-2310	180	23	)	)	PUNCT
ejpam-2310	180	24	,	,	PUNCT
ejpam-2310	180	25	t	t	PROPN
ejpam-2310	180	26	≥	≥	PROPN
ejpam-2310	181	1	0,α	0,α	PROPN
ejpam-2310	181	2	,	,	PUNCT
ejpam-2310	181	3	β	β	X
ejpam-2310	181	4	,	,	PUNCT
ejpam-2310	181	5	γ	γ	PROPN
ejpam-2310	181	6	,	,	PUNCT
ejpam-2310	181	7	δ	δ	PROPN
ejpam-2310	181	8	>	>	PUNCT
ejpam-2310	181	9	0,λ	0,λ	PUNCT
ejpam-2310	181	10	∈	∈	PROPN
ejpam-2310	182	1	[	[	X
ejpam-2310	182	2	−1,1	−1,1	X
ejpam-2310	182	3	]	]	X
ejpam-2310	182	4	,	,	PUNCT
ejpam-2310	182	5	where	where	SCONJ
ejpam-2310	182	6	g(t;α	g(t;α	X
ejpam-2310	182	7	,	,	PUNCT
ejpam-2310	182	8	γ	γ	X
ejpam-2310	182	9	,	,	PUNCT
ejpam-2310	182	10	β	β	X
ejpam-2310	182	11	,	,	PUNCT
ejpam-2310	182	12	λ	λ	PROPN
ejpam-2310	182	13	,	,	PUNCT
ejpam-2310	182	14	δ(i	δ(i	PROPN
ejpam-2310	182	15	+	+	CCONJ
ejpam-2310	182	16	r	r	NOUN
ejpam-2310	182	17	)	)	PUNCT
ejpam-2310	182	18	)	)	PUNCT
ejpam-2310	182	19	denote	denote	VERB
ejpam-2310	182	20	the	the	DET
ejpam-2310	182	21	density	density	NOUN
ejpam-2310	182	22	function	function	NOUN
ejpam-2310	182	23	of	of	ADP
ejpam-2310	182	24	an	an	DET
ejpam-2310	182	25	exponentiated	exponentiated	ADJ
ejpam-2310	182	26	transmuted	transmute	VERB
ejpam-2310	182	27	modified	modified	ADJ
ejpam-2310	182	28	weibull	weibull	NOUN
ejpam-2310	182	29	distribution	distribution	NOUN
ejpam-2310	182	30	with	with	ADP
ejpam-2310	182	31	shape	shape	NOUN
ejpam-2310	182	32	paameters	paameter	NOUN
ejpam-2310	182	33	(	(	PUNCT
ejpam-2310	182	34	α	α	X
ejpam-2310	182	35	,	,	PUNCT
ejpam-2310	182	36	β	β	X
ejpam-2310	182	37	,	,	PUNCT
ejpam-2310	182	38	γ	γ	PROPN
ejpam-2310	182	39	)	)	PUNCT
ejpam-2310	182	40	,	,	PUNCT
ejpam-2310	182	41	transmuting	transmute	VERB
ejpam-2310	182	42	parameter	parameter	NOUN
ejpam-2310	182	43	λ	λ	PROPN
ejpam-2310	182	44	and	and	CCONJ
ejpam-2310	182	45	exponentiatinf	exponentiatinf	ADJ
ejpam-2310	182	46	parameter	parameter	NOUN
ejpam-2310	182	47	δ(i	δ(i	PROPN
ejpam-2310	182	48	+	+	PUNCT
ejpam-2310	182	49	r	r	NOUN
ejpam-2310	182	50	)	)	PUNCT
ejpam-2310	182	51	.	.	PUNCT
ejpam-2310	183	1	m.	m.	NOUN
ejpam-2310	183	2	pal	pal	NOUN
ejpam-2310	183	3	and	and	CCONJ
ejpam-2310	183	4	m.	m.	NOUN
ejpam-2310	183	5	tiensuwan	tiensuwan	PROPN
ejpam-2310	183	6	/	/	SYM
ejpam-2310	183	7	eur	eur	PROPN
ejpam-2310	183	8	.	.	PUNCT
ejpam-2310	184	1	j.	j.	PROPN
ejpam-2310	184	2	pure	pure	PROPN
ejpam-2310	184	3	appl	appl	PROPN
ejpam-2310	184	4	.	.	PROPN
ejpam-2310	184	5	math	math	PROPN
ejpam-2310	184	6	,	,	PUNCT
ejpam-2310	184	7	8	8	NUM
ejpam-2310	184	8	(	(	PUNCT
ejpam-2310	184	9	2015	2015	NUM
ejpam-2310	184	10	)	)	PUNCT
ejpam-2310	184	11	,	,	PUNCT
ejpam-2310	184	12	1	1	NUM
ejpam-2310	184	13	-	-	SYM
ejpam-2310	184	14	14	14	NUM
ejpam-2310	184	15	8	8	NUM
ejpam-2310	184	16	hence	hence	ADV
ejpam-2310	184	17	,	,	PUNCT
ejpam-2310	184	18	using	use	VERB
ejpam-2310	184	19	(	(	PUNCT
ejpam-2310	184	20	12	12	NUM
ejpam-2310	184	21	)	)	PUNCT
ejpam-2310	184	22	we	we	PRON
ejpam-2310	184	23	have	have	VERB
ejpam-2310	184	24	e	e	PROPN
ejpam-2310	184	25	�	�	PROPN
ejpam-2310	184	26	t	t	PROPN
ejpam-2310	184	27	r	r	NOUN
ejpam-2310	184	28	(	(	PUNCT
ejpam-2310	184	29	s	s	NOUN
ejpam-2310	184	30	)	)	PUNCT
ejpam-2310	184	31	�	�	PROPN
ejpam-2310	184	32	=	=	SYM
ejpam-2310	184	33	n	n	X
ejpam-2310	184	34	!	!	PUNCT
ejpam-2310	185	1	(	(	PUNCT
ejpam-2310	185	2	s−	s−	PROPN
ejpam-2310	185	3	1)!(n−	1)!(n−	NUM
ejpam-2310	185	4	s	s	NOUN
ejpam-2310	185	5	)	)	PUNCT
ejpam-2310	185	6	!	!	PUNCT
ejpam-2310	186	1	∞	∞	PROPN
ejpam-2310	186	2	∑	∑	PUNCT
ejpam-2310	186	3	u=0	u=0	INTJ
ejpam-2310	186	4	(	(	PUNCT
ejpam-2310	186	5	u+	u+	NUM
ejpam-2310	186	6	s)δ	s)δ	X
ejpam-2310	186	7	×	×	NOUN
ejpam-2310	186	8	[	[	PUNCT
ejpam-2310	186	9	∞	∞	NUM
ejpam-2310	186	10	∑	∑	ADP
ejpam-2310	186	11	i=0	i=0	PROPN
ejpam-2310	186	12	∞	∞	PROPN
ejpam-2310	186	13	∑	∑	PUNCT
ejpam-2310	186	14	j=0	j=0	VERB
ejpam-2310	186	15	a(i	a(i	PROPN
ejpam-2310	186	16	,	,	PUNCT
ejpam-2310	186	17	j	j	NOUN
ejpam-2310	186	18	;	;	PUNCT
ejpam-2310	186	19	(	(	PUNCT
ejpam-2310	186	20	u+	u+	NUM
ejpam-2310	186	21	s)δ	s)δ	ADJ
ejpam-2310	186	22	,	,	PUNCT
ejpam-2310	186	23	λ	λ	NOUN
ejpam-2310	186	24	)	)	PUNCT
ejpam-2310	186	25	[	[	PUNCT
ejpam-2310	186	26	1−λ	1−λ	NUM
ejpam-2310	186	27	i	i	NOUN
ejpam-2310	186	28	+	+	CCONJ
ejpam-2310	186	29	j	j	PROPN
ejpam-2310	187	1	+	+	CCONJ
ejpam-2310	187	2	1	1	NUM
ejpam-2310	187	3	∞	∞	NUM
ejpam-2310	187	4	∑	∑	PUNCT
ejpam-2310	187	5	k=0	k=0	PROPN
ejpam-2310	187	6	(	(	PUNCT
ejpam-2310	187	7	−β)k	−β)k	ADV
ejpam-2310	187	8	k	k	X
ejpam-2310	187	9	!	!	PUNCT
ejpam-2310	187	10	{	{	PUNCT
ejpam-2310	188	1	γ(k(i	γ(k(i	PROPN
ejpam-2310	188	2	+	+	CCONJ
ejpam-2310	188	3	j	j	PROPN
ejpam-2310	188	4	+	+	CCONJ
ejpam-2310	188	5	1)γ+	1)γ+	NUM
ejpam-2310	188	6	r	r	NOUN
ejpam-2310	188	7	+	+	NOUN
ejpam-2310	188	8	1	1	NUM
ejpam-2310	188	9	)	)	PUNCT
ejpam-2310	188	10	{	{	PUNCT
ejpam-2310	188	11	(	(	PUNCT
ejpam-2310	188	12	i	i	PRON
ejpam-2310	188	13	+	+	NUM
ejpam-2310	188	14	j	j	PROPN
ejpam-2310	188	15	+	+	CCONJ
ejpam-2310	188	16	1)α}k(i+	1)α}k(i+	NUM
ejpam-2310	188	17	j+1)γ+r	j+1)γ+r	PROPN
ejpam-2310	188	18	+	+	CCONJ
ejpam-2310	188	19	(	(	PUNCT
ejpam-2310	188	20	i	i	PRON
ejpam-2310	188	21	+	+	NUM
ejpam-2310	188	22	j	j	PROPN
ejpam-2310	189	1	+	+	CCONJ
ejpam-2310	189	2	1)βγ	1)βγ	NUM
ejpam-2310	189	3	γ(r	γ(r	PROPN
ejpam-2310	189	4	+	+	CCONJ
ejpam-2310	189	5	{	{	PUNCT
ejpam-2310	189	6	k(i	k(i	PROPN
ejpam-2310	189	7	+	+	PROPN
ejpam-2310	189	8	j	j	PROPN
ejpam-2310	189	9	+	+	CCONJ
ejpam-2310	189	10	1	1	NUM
ejpam-2310	189	11	)	)	PUNCT
ejpam-2310	189	12	+	+	NOUN
ejpam-2310	189	13	1}γ	1}γ	NUM
ejpam-2310	189	14	)	)	PUNCT
ejpam-2310	189	15	{	{	PUNCT
ejpam-2310	189	16	(	(	PUNCT
ejpam-2310	189	17	i	i	NOUN
ejpam-2310	189	18	+	+	NUM
ejpam-2310	189	19	j	j	PROPN
ejpam-2310	189	20	+	+	CCONJ
ejpam-2310	189	21	1)α}{k(i+	1)α}{k(i+	NUM
ejpam-2310	189	22	j+1)+1}γ+r	j+1)+1}γ+r	NOUN
ejpam-2310	189	23	}	}	PUNCT
ejpam-2310	189	24	+	+	NUM
ejpam-2310	189	25	2λ	2λ	NUM
ejpam-2310	190	1	i	i	PRON
ejpam-2310	190	2	+	+	NUM
ejpam-2310	190	3	j	j	PROPN
ejpam-2310	190	4	+	+	CCONJ
ejpam-2310	190	5	2	2	NUM
ejpam-2310	190	6	∞	∞	NUM
ejpam-2310	190	7	∑	∑	X
ejpam-2310	190	8	k=0	k=0	PROPN
ejpam-2310	190	9	(	(	PUNCT
ejpam-2310	190	10	−β)k	−β)k	ADV
ejpam-2310	190	11	k	k	X
ejpam-2310	190	12	!	!	PROPN
ejpam-2310	190	13	×	×	NOUN
ejpam-2310	190	14	{	{	PUNCT
ejpam-2310	190	15	γ(k(i	γ(k(i	PROPN
ejpam-2310	191	1	+	+	CCONJ
ejpam-2310	191	2	j	j	PROPN
ejpam-2310	191	3	+	+	CCONJ
ejpam-2310	191	4	2)γ+	2)γ+	NUM
ejpam-2310	191	5	r	r	NOUN
ejpam-2310	191	6	+	+	NOUN
ejpam-2310	191	7	2	2	NUM
ejpam-2310	191	8	)	)	PUNCT
ejpam-2310	191	9	{	{	PUNCT
ejpam-2310	191	10	(	(	PUNCT
ejpam-2310	191	11	i	i	PRON
ejpam-2310	191	12	+	+	NUM
ejpam-2310	191	13	j	j	PROPN
ejpam-2310	192	1	+	+	CCONJ
ejpam-2310	192	2	2)α}k(i+	2)α}k(i+	PROPN
ejpam-2310	192	3	j+2)γ+r	j+2)γ+r	PROPN
ejpam-2310	193	1	+	+	CCONJ
ejpam-2310	193	2	(	(	PUNCT
ejpam-2310	193	3	i	i	PRON
ejpam-2310	193	4	+	+	NUM
ejpam-2310	193	5	j	j	PROPN
ejpam-2310	193	6	+	+	CCONJ
ejpam-2310	193	7	2)βγ	2)βγ	NUM
ejpam-2310	193	8	γ(r	γ(r	PROPN
ejpam-2310	193	9	+	+	CCONJ
ejpam-2310	193	10	{	{	PUNCT
ejpam-2310	193	11	k(i	k(i	PROPN
ejpam-2310	193	12	+	+	PROPN
ejpam-2310	193	13	j	j	PROPN
ejpam-2310	193	14	+	+	CCONJ
ejpam-2310	193	15	2	2	NUM
ejpam-2310	193	16	)	)	PUNCT
ejpam-2310	193	17	+	+	NOUN
ejpam-2310	193	18	1}γ	1}γ	NUM
ejpam-2310	193	19	)	)	PUNCT
ejpam-2310	193	20	{	{	PUNCT
ejpam-2310	193	21	(	(	PUNCT
ejpam-2310	193	22	i	i	NOUN
ejpam-2310	193	23	+	+	NUM
ejpam-2310	193	24	j	j	PROPN
ejpam-2310	193	25	+	+	SYM
ejpam-2310	193	26	2)α}{k(i+	2)α}{k(i+	PROPN
ejpam-2310	193	27	j+2)+1}γ+r	j+2)+1}γ+r	NOUN
ejpam-2310	193	28	}	}	PUNCT
ejpam-2310	193	29	]	]	PUNCT
ejpam-2310	193	30	,	,	PUNCT
ejpam-2310	193	31	for	for	ADP
ejpam-2310	193	32	α	α	NOUN
ejpam-2310	193	33	,	,	PUNCT
ejpam-2310	193	34	β	β	X
ejpam-2310	193	35	>	>	X
ejpam-2310	193	36	0	0	PUNCT
ejpam-2310	194	1	=	=	SYM
ejpam-2310	194	2	n	n	X
ejpam-2310	194	3	!	!	PUNCT
ejpam-2310	195	1	(	(	PUNCT
ejpam-2310	195	2	s−	s−	PROPN
ejpam-2310	195	3	1)!(n−	1)!(n−	NUM
ejpam-2310	195	4	s	s	NOUN
ejpam-2310	195	5	)	)	PUNCT
ejpam-2310	195	6	!	!	PUNCT
ejpam-2310	196	1	∞	∞	PROPN
ejpam-2310	196	2	∑	∑	PUNCT
ejpam-2310	196	3	u=0	u=0	INTJ
ejpam-2310	196	4	(	(	PUNCT
ejpam-2310	196	5	u+	u+	NOUN
ejpam-2310	196	6	s)δ	s)δ	NOUN
ejpam-2310	196	7	[	[	PUNCT
ejpam-2310	196	8	∞	∞	NUM
ejpam-2310	196	9	∑	∑	ADP
ejpam-2310	196	10	i=0	i=0	PROPN
ejpam-2310	196	11	∞	∞	PROPN
ejpam-2310	196	12	∑	∑	PUNCT
ejpam-2310	196	13	j=0	j=0	VERB
ejpam-2310	196	14	a(i	a(i	PROPN
ejpam-2310	196	15	,	,	PUNCT
ejpam-2310	196	16	j	j	NOUN
ejpam-2310	196	17	;	;	PUNCT
ejpam-2310	196	18	(	(	PUNCT
ejpam-2310	196	19	u+	u+	NUM
ejpam-2310	196	20	s)δ	s)δ	ADJ
ejpam-2310	196	21	,	,	PUNCT
ejpam-2310	196	22	λ	λ	NOUN
ejpam-2310	196	23	)	)	PUNCT
ejpam-2310	196	24	×	×	NOUN
ejpam-2310	196	25	{	{	PUNCT
ejpam-2310	196	26	1−λ	1−λ	NUM
ejpam-2310	196	27	i	i	NOUN
ejpam-2310	196	28	+	+	CCONJ
ejpam-2310	196	29	j	j	PROPN
ejpam-2310	197	1	+	+	CCONJ
ejpam-2310	197	2	1	1	NUM
ejpam-2310	197	3	(	(	PUNCT
ejpam-2310	197	4	r	r	NOUN
ejpam-2310	197	5	(	(	PUNCT
ejpam-2310	197	6	i	i	PRON
ejpam-2310	197	7	+	+	NUM
ejpam-2310	197	8	j	j	PROPN
ejpam-2310	197	9	+	+	CCONJ
ejpam-2310	197	10	1)γ	1)γ	PROPN
ejpam-2310	197	11	+	+	CCONJ
ejpam-2310	197	12	1)/β	1)/β	NUM
ejpam-2310	197	13	r	r	NOUN
ejpam-2310	197	14	(	(	PUNCT
ejpam-2310	197	15	i+	i+	NOUN
ejpam-2310	197	16	j+1)γ	j+1)γ	PROPN
ejpam-2310	197	17	+	+	NUM
ejpam-2310	197	18	2λ	2λ	NUM
ejpam-2310	198	1	i	i	NOUN
ejpam-2310	198	2	+	+	NUM
ejpam-2310	198	3	j	j	PROPN
ejpam-2310	198	4	+	+	CCONJ
ejpam-2310	198	5	2	2	NUM
ejpam-2310	198	6	(	(	PUNCT
ejpam-2310	198	7	r	r	NOUN
ejpam-2310	198	8	(	(	PUNCT
ejpam-2310	198	9	i	i	PRON
ejpam-2310	198	10	+	+	NUM
ejpam-2310	198	11	j	j	PROPN
ejpam-2310	198	12	+	+	NUM
ejpam-2310	198	13	2)γ	2)γ	NUM
ejpam-2310	198	14	+	+	CCONJ
ejpam-2310	198	15	1)/β	1)/β	NUM
ejpam-2310	198	16	r	r	NOUN
ejpam-2310	198	17	(	(	PUNCT
ejpam-2310	198	18	i+	i+	NOUN
ejpam-2310	198	19	j+2)γ	j+2)γ	PROPN
ejpam-2310	198	20	}	}	PUNCT
ejpam-2310	198	21	]	]	PUNCT
ejpam-2310	198	22	,	,	PUNCT
ejpam-2310	198	23	for	for	ADP
ejpam-2310	198	24	α=	α=	NOUN
ejpam-2310	198	25	0,β	0,β	NOUN
ejpam-2310	198	26	>	>	SYM
ejpam-2310	198	27	0	0	PUNCT
ejpam-2310	199	1	=	=	SYM
ejpam-2310	199	2	n	n	X
ejpam-2310	199	3	!	!	PUNCT
ejpam-2310	200	1	(	(	PUNCT
ejpam-2310	200	2	s−	s−	PROPN
ejpam-2310	200	3	1)!(n−	1)!(n−	NUM
ejpam-2310	200	4	s	s	NOUN
ejpam-2310	200	5	)	)	PUNCT
ejpam-2310	200	6	!	!	PUNCT
ejpam-2310	201	1	∞	∞	PROPN
ejpam-2310	201	2	∑	∑	PUNCT
ejpam-2310	201	3	u=0	u=0	INTJ
ejpam-2310	201	4	(	(	PUNCT
ejpam-2310	201	5	u+	u+	NOUN
ejpam-2310	201	6	s)δ	s)δ	NOUN
ejpam-2310	201	7	[	[	PUNCT
ejpam-2310	201	8	∞	∞	NUM
ejpam-2310	201	9	∑	∑	ADP
ejpam-2310	201	10	i=0	i=0	PROPN
ejpam-2310	201	11	∞	∞	PROPN
ejpam-2310	201	12	∑	∑	PUNCT
ejpam-2310	201	13	j=0	j=0	VERB
ejpam-2310	201	14	a(i	a(i	PROPN
ejpam-2310	201	15	,	,	PUNCT
ejpam-2310	201	16	j	j	NOUN
ejpam-2310	201	17	;	;	PUNCT
ejpam-2310	201	18	(	(	PUNCT
ejpam-2310	201	19	u+	u+	NUM
ejpam-2310	201	20	s)δ	s)δ	ADJ
ejpam-2310	201	21	,	,	PUNCT
ejpam-2310	201	22	λ	λ	NOUN
ejpam-2310	201	23	)	)	PUNCT
ejpam-2310	201	24	{	{	PUNCT
ejpam-2310	202	1	1−λ	1−λ	NUM
ejpam-2310	202	2	i	i	NOUN
ejpam-2310	202	3	+	+	CCONJ
ejpam-2310	202	4	j	j	PROPN
ejpam-2310	202	5	+	+	CCONJ
ejpam-2310	202	6	1	1	NUM
ejpam-2310	202	7	γ(r	γ(r	NOUN
ejpam-2310	202	8	+	+	CCONJ
ejpam-2310	202	9	1	1	X
ejpam-2310	202	10	)	)	PUNCT
ejpam-2310	202	11	{	{	PUNCT
ejpam-2310	202	12	(	(	PUNCT
ejpam-2310	202	13	i	i	NOUN
ejpam-2310	202	14	+	+	NUM
ejpam-2310	202	15	j	j	PROPN
ejpam-2310	202	16	+	+	CCONJ
ejpam-2310	202	17	1)α}r	1)α}r	NUM
ejpam-2310	202	18	+	+	CCONJ
ejpam-2310	202	19	2λ	2λ	NUM
ejpam-2310	203	1	i	i	PRON
ejpam-2310	203	2	+	+	NUM
ejpam-2310	203	3	j	j	PROPN
ejpam-2310	203	4	+	+	CCONJ
ejpam-2310	203	5	2	2	NUM
ejpam-2310	203	6	γ(r	γ(r	NOUN
ejpam-2310	203	7	+	+	CCONJ
ejpam-2310	203	8	1	1	X
ejpam-2310	203	9	)	)	PUNCT
ejpam-2310	203	10	{	{	PUNCT
ejpam-2310	203	11	(	(	PUNCT
ejpam-2310	203	12	i	i	NOUN
ejpam-2310	203	13	+	+	NUM
ejpam-2310	203	14	j	j	PROPN
ejpam-2310	203	15	+	+	CCONJ
ejpam-2310	203	16	2)α}r	2)α}r	NUM
ejpam-2310	203	17	}	}	PUNCT
ejpam-2310	203	18	]	]	PUNCT
ejpam-2310	203	19	tex	tex	PROPN
ejpam-2310	203	20	t	t	PROPN
ejpam-2310	203	21	,	,	PUNCT
ejpam-2310	203	22	f	f	PROPN
ejpam-2310	203	23	orα	orα	X
ejpam-2310	203	24	>	>	X
ejpam-2310	203	25	0,β	0,β	PUNCT
ejpam-2310	203	26	=	=	SYM
ejpam-2310	203	27	0	0	X
ejpam-2310	203	28	.	.	PUNCT
ejpam-2310	204	1	in	in	ADP
ejpam-2310	204	2	addition	addition	NOUN
ejpam-2310	204	3	,	,	PUNCT
ejpam-2310	204	4	we	we	PRON
ejpam-2310	204	5	can	can	AUX
ejpam-2310	204	6	calculate	calculate	VERB
ejpam-2310	204	7	the	the	DET
ejpam-2310	204	8	l	l	NOUN
ejpam-2310	204	9	-	-	NOUN
ejpam-2310	204	10	moments	moment	NOUN
ejpam-2310	205	1	[	[	X
ejpam-2310	205	2	5	5	NUM
ejpam-2310	205	3	]	]	PUNCT
ejpam-2310	205	4	,	,	PUNCT
ejpam-2310	205	5	which	which	PRON
ejpam-2310	205	6	are	be	AUX
ejpam-2310	205	7	summary	summary	NOUN
ejpam-2310	205	8	statistics	statistic	NOUN
ejpam-2310	205	9	for	for	ADP
ejpam-2310	205	10	probability	probability	NOUN
ejpam-2310	205	11	distributions	distribution	NOUN
ejpam-2310	205	12	and	and	CCONJ
ejpam-2310	205	13	data	datum	NOUN
ejpam-2310	205	14	samples	sample	NOUN
ejpam-2310	205	15	but	but	CCONJ
ejpam-2310	205	16	have	have	VERB
ejpam-2310	205	17	several	several	ADJ
ejpam-2310	205	18	advantages	advantage	NOUN
ejpam-2310	205	19	over	over	ADP
ejpam-2310	205	20	ordinary	ordinary	ADJ
ejpam-2310	205	21	moments	moment	NOUN
ejpam-2310	205	22	.	.	PUNCT
ejpam-2310	206	1	for	for	ADP
ejpam-2310	206	2	example	example	NOUN
ejpam-2310	206	3	,	,	PUNCT
ejpam-2310	206	4	they	they	PRON
ejpam-2310	206	5	apply	apply	VERB
ejpam-2310	206	6	for	for	ADP
ejpam-2310	206	7	any	any	DET
ejpam-2310	206	8	distribution	distribution	NOUN
ejpam-2310	206	9	having	have	VERB
ejpam-2310	206	10	a	a	DET
ejpam-2310	206	11	finite	finite	ADJ
ejpam-2310	206	12	mean	mean	NOUN
ejpam-2310	206	13	and	and	CCONJ
ejpam-2310	206	14	no	no	DET
ejpam-2310	206	15	higher	high	ADJ
ejpam-2310	206	16	-	-	PUNCT
ejpam-2310	206	17	order	order	NOUN
ejpam-2310	206	18	moments	moment	NOUN
ejpam-2310	206	19	need	need	VERB
ejpam-2310	206	20	be	be	AUX
ejpam-2310	206	21	finite	finite	VERB
ejpam-2310	206	22	.	.	PUNCT
ejpam-2310	207	1	the	the	DET
ejpam-2310	207	2	rth	rth	PROPN
ejpam-2310	207	3	l	l	PROPN
ejpam-2310	207	4	-	-	NOUN
ejpam-2310	207	5	moment	moment	NOUN
ejpam-2310	207	6	is	be	AUX
ejpam-2310	207	7	computed	compute	VERB
ejpam-2310	207	8	from	from	ADP
ejpam-2310	207	9	the	the	DET
ejpam-2310	207	10	linear	linear	ADJ
ejpam-2310	207	11	combinations	combination	NOUN
ejpam-2310	207	12	of	of	ADP
ejpam-2310	207	13	the	the	DET
ejpam-2310	207	14	ordered	order	VERB
ejpam-2310	207	15	data	data	NOUN
ejpam-2310	207	16	values	value	NOUN
ejpam-2310	207	17	as	as	SCONJ
ejpam-2310	207	18	given	give	VERB
ejpam-2310	207	19	below	below	ADV
ejpam-2310	207	20	:	:	PUNCT
ejpam-2310	207	21	ρr	ρr	PROPN
ejpam-2310	207	22	=	=	SYM
ejpam-2310	207	23	∞	∞	NUM
ejpam-2310	207	24	∑	∑	INTJ
ejpam-2310	207	25	u=0	u=0	INTJ
ejpam-2310	207	26	(	(	PUNCT
ejpam-2310	207	27	−1)r−u−1	−1)r−u−1	X
ejpam-2310	207	28	�	�	PROPN
ejpam-2310	207	29	r	r	NOUN
ejpam-2310	207	30	−	−	PROPN
ejpam-2310	207	31	1	1	NUM
ejpam-2310	207	32	u	u	PROPN
ejpam-2310	207	33	�	�	PROPN
ejpam-2310	207	34	�	�	PROPN
ejpam-2310	207	35	r	r	NOUN
ejpam-2310	207	36	+	+	CCONJ
ejpam-2310	207	37	u−	u−	PROPN
ejpam-2310	207	38	1	1	NUM
ejpam-2310	207	39	u	u	NOUN
ejpam-2310	207	40	�	�	PROPN
ejpam-2310	207	41	θu	θu	ADP
ejpam-2310	207	42	,	,	PUNCT
ejpam-2310	207	43	where	where	SCONJ
ejpam-2310	207	44	θu	θu	ADV
ejpam-2310	207	45	=	=	SYM
ejpam-2310	207	46	e[t	e[t	PROPN
ejpam-2310	207	47	f(t	f(t	PROPN
ejpam-2310	207	48	)	)	PUNCT
ejpam-2310	207	49	u	u	NOUN
ejpam-2310	207	50	]	]	X
ejpam-2310	207	51	.	.	PUNCT
ejpam-2310	208	1	thus	thus	ADV
ejpam-2310	208	2	,	,	PUNCT
ejpam-2310	208	3	ρ1	ρ1	NOUN
ejpam-2310	208	4	=	=	SYM
ejpam-2310	208	5	θ0	θ0	NOUN
ejpam-2310	208	6	,	,	PUNCT
ejpam-2310	208	7	ρ2	ρ2	PROPN
ejpam-2310	208	8	=	=	SYM
ejpam-2310	208	9	2θ1	2θ1	NUM
ejpam-2310	208	10	−	−	NOUN
ejpam-2310	208	11	θ0	θ0	NOUN
ejpam-2310	208	12	,	,	PUNCT
ejpam-2310	208	13	ρ3	ρ3	NOUN
ejpam-2310	208	14	=	=	PUNCT
ejpam-2310	208	15	6θ2	6θ2	NUM
ejpam-2310	208	16	−	−	NUM
ejpam-2310	208	17	6θ1	6θ1	NUM
ejpam-2310	208	18	+	+	CCONJ
ejpam-2310	208	19	θ0	θ0	NOUN
ejpam-2310	208	20	,	,	PUNCT
ejpam-2310	208	21	and	and	CCONJ
ejpam-2310	208	22	ρ4	ρ4	ADV
ejpam-2310	208	23	=	=	SYM
ejpam-2310	209	1	20θ3	20θ3	NUM
ejpam-2310	209	2	−	−	NUM
ejpam-2310	209	3	30θ2	30θ2	NUM
ejpam-2310	209	4	+	+	NUM
ejpam-2310	210	1	12θ1	12θ1	NUM
ejpam-2310	210	2	−	−	PROPN
ejpam-2310	210	3	θ0	θ0	NOUN
ejpam-2310	210	4	.	.	PUNCT
ejpam-2310	211	1	in	in	ADP
ejpam-2310	211	2	general	general	ADJ
ejpam-2310	211	3	,	,	PUNCT
ejpam-2310	211	4	θk	θk	NOUN
ejpam-2310	211	5	=	=	SYM
ejpam-2310	211	6	(	(	PUNCT
ejpam-2310	211	7	k+	k+	NOUN
ejpam-2310	211	8	1)−1e(tk+1	1)−1e(tk+1	NUM
ejpam-2310	211	9	:	:	PUNCT
ejpam-2310	211	10	k+1	k+1	X
ejpam-2310	211	11	)	)	PUNCT
ejpam-2310	211	12	,	,	PUNCT
ejpam-2310	211	13	which	which	PRON
ejpam-2310	211	14	can	can	AUX
ejpam-2310	211	15	be	be	AUX
ejpam-2310	211	16	computed	compute	VERB
ejpam-2310	211	17	from	from	ADP
ejpam-2310	211	18	(	(	PUNCT
ejpam-2310	211	19	6	6	NUM
ejpam-2310	211	20	)	)	PUNCT
ejpam-2310	211	21	by	by	ADP
ejpam-2310	211	22	substituting	substitute	VERB
ejpam-2310	211	23	n=	n=	ADJ
ejpam-2310	211	24	s	s	PART
ejpam-2310	211	25	=	=	SYM
ejpam-2310	211	26	k+	k+	X
ejpam-2310	211	27	1	1	NUM
ejpam-2310	211	28	and	and	CCONJ
ejpam-2310	211	29	r	r	NOUN
ejpam-2310	211	30	=	=	SYM
ejpam-2310	211	31	1	1	X
ejpam-2310	211	32	.	.	PUNCT
ejpam-2310	211	33	m.	m.	NOUN
ejpam-2310	211	34	pal	pal	NOUN
ejpam-2310	211	35	and	and	CCONJ
ejpam-2310	211	36	m.	m.	NOUN
ejpam-2310	211	37	tiensuwan	tiensuwan	PROPN
ejpam-2310	211	38	/	/	SYM
ejpam-2310	211	39	eur	eur	PROPN
ejpam-2310	211	40	.	.	PUNCT
ejpam-2310	212	1	j.	j.	PROPN
ejpam-2310	212	2	pure	pure	PROPN
ejpam-2310	212	3	appl	appl	PROPN
ejpam-2310	212	4	.	.	PROPN
ejpam-2310	212	5	math	math	PROPN
ejpam-2310	212	6	,	,	PUNCT
ejpam-2310	212	7	8	8	NUM
ejpam-2310	212	8	(	(	PUNCT
ejpam-2310	212	9	2015	2015	NUM
ejpam-2310	212	10	)	)	PUNCT
ejpam-2310	212	11	,	,	PUNCT
ejpam-2310	212	12	1	1	NUM
ejpam-2310	212	13	-	-	SYM
ejpam-2310	212	14	14	14	NUM
ejpam-2310	212	15	9	9	NUM
ejpam-2310	212	16	7	7	NUM
ejpam-2310	212	17	.	.	PUNCT
ejpam-2310	213	1	reliability	reliability	VERB
ejpam-2310	213	2	a	a	DET
ejpam-2310	213	3	stress	stress	NOUN
ejpam-2310	213	4	-	-	PUNCT
ejpam-2310	213	5	strength	strength	NOUN
ejpam-2310	213	6	model	model	NOUN
ejpam-2310	213	7	describes	describe	VERB
ejpam-2310	213	8	the	the	DET
ejpam-2310	213	9	life	life	NOUN
ejpam-2310	213	10	of	of	ADP
ejpam-2310	213	11	a	a	DET
ejpam-2310	213	12	component	component	NOUN
ejpam-2310	213	13	having	have	VERB
ejpam-2310	213	14	a	a	DET
ejpam-2310	213	15	random	random	ADJ
ejpam-2310	213	16	strength	strength	NOUN
ejpam-2310	213	17	x1	x1	PROPN
ejpam-2310	213	18	and	and	CCONJ
ejpam-2310	213	19	subjected	subject	VERB
ejpam-2310	213	20	to	to	ADP
ejpam-2310	213	21	a	a	DET
ejpam-2310	213	22	random	random	ADJ
ejpam-2310	213	23	stress	stress	NOUN
ejpam-2310	213	24	x2	x2	PROPN
ejpam-2310	213	25	.	.	PUNCT
ejpam-2310	214	1	the	the	DET
ejpam-2310	214	2	component	component	NOUN
ejpam-2310	214	3	functions	function	NOUN
ejpam-2310	214	4	satisfactorily	satisfactorily	ADV
ejpam-2310	214	5	for	for	ADP
ejpam-2310	214	6	x1	x1	PROPN
ejpam-2310	214	7	>	>	X
ejpam-2310	214	8	x2	x2	PROPN
ejpam-2310	214	9	and	and	CCONJ
ejpam-2310	214	10	fails	fail	VERB
ejpam-2310	214	11	when	when	SCONJ
ejpam-2310	214	12	x1	x1	PROPN
ejpam-2310	214	13	<	<	X
ejpam-2310	214	14	x2	x2	PROPN
ejpam-2310	214	15	.	.	PUNCT
ejpam-2310	215	1	the	the	DET
ejpam-2310	215	2	probability	probability	NOUN
ejpam-2310	215	3	r	r	NOUN
ejpam-2310	215	4	=	=	SYM
ejpam-2310	215	5	pr(x1	pr(x1	X
ejpam-2310	215	6	>	>	X
ejpam-2310	215	7	x2	x2	PROPN
ejpam-2310	215	8	)	)	PUNCT
ejpam-2310	215	9	defines	define	VERB
ejpam-2310	215	10	the	the	DET
ejpam-2310	215	11	component	component	NOUN
ejpam-2310	215	12	reliability	reliability	NOUN
ejpam-2310	215	13	.	.	PUNCT
ejpam-2310	216	1	stressstrength	stressstrength	NOUN
ejpam-2310	216	2	models	model	NOUN
ejpam-2310	216	3	have	have	VERB
ejpam-2310	216	4	many	many	ADJ
ejpam-2310	216	5	applications	application	NOUN
ejpam-2310	216	6	especially	especially	ADV
ejpam-2310	216	7	in	in	ADP
ejpam-2310	216	8	engineering	engineering	NOUN
ejpam-2310	216	9	concepts	concept	NOUN
ejpam-2310	216	10	such	such	ADJ
ejpam-2310	216	11	as	as	ADP
ejpam-2310	216	12	structures	structure	NOUN
ejpam-2310	216	13	,	,	PUNCT
ejpam-2310	216	14	deterioration	deterioration	NOUN
ejpam-2310	216	15	of	of	ADP
ejpam-2310	216	16	rocket	rocket	NOUN
ejpam-2310	216	17	motors	motor	NOUN
ejpam-2310	216	18	,	,	PUNCT
ejpam-2310	216	19	static	static	ADJ
ejpam-2310	216	20	fatigue	fatigue	NOUN
ejpam-2310	216	21	of	of	ADP
ejpam-2310	216	22	ceramic	ceramic	ADJ
ejpam-2310	216	23	components	component	NOUN
ejpam-2310	216	24	,	,	PUNCT
ejpam-2310	216	25	fatigue	fatigue	NOUN
ejpam-2310	216	26	failure	failure	NOUN
ejpam-2310	216	27	of	of	ADP
ejpam-2310	216	28	aircraft	aircraft	NOUN
ejpam-2310	216	29	structures	structure	NOUN
ejpam-2310	216	30	and	and	CCONJ
ejpam-2310	216	31	the	the	DET
ejpam-2310	216	32	aging	aging	NOUN
ejpam-2310	216	33	of	of	ADP
ejpam-2310	216	34	concrete	concrete	ADJ
ejpam-2310	216	35	pressure	pressure	NOUN
ejpam-2310	216	36	vessels	vessel	NOUN
ejpam-2310	216	37	.	.	PUNCT
ejpam-2310	217	1	consider	consider	VERB
ejpam-2310	217	2	x1	x1	PROPN
ejpam-2310	217	3	and	and	CCONJ
ejpam-2310	217	4	x2	x2	PROPN
ejpam-2310	217	5	to	to	PART
ejpam-2310	217	6	be	be	AUX
ejpam-2310	217	7	independently	independently	ADV
ejpam-2310	217	8	distributed	distribute	VERB
ejpam-2310	217	9	,	,	PUNCT
ejpam-2310	217	10	with	with	ADP
ejpam-2310	217	11	x1	x1	ADJ
ejpam-2310	217	12	∼	∼	NOUN
ejpam-2310	217	13	et	et	NOUN
ejpam-2310	217	14	mw	mw	X
ejpam-2310	217	15	(	(	PUNCT
ejpam-2310	217	16	α1,γ1,β	α1,γ1,β	VERB
ejpam-2310	217	17	,	,	PUNCT
ejpam-2310	217	18	λ1,δ1	λ1,δ1	PROPN
ejpam-2310	217	19	)	)	PUNCT
ejpam-2310	218	1	and	and	CCONJ
ejpam-2310	218	2	x2	x2	PROPN
ejpam-2310	218	3	∼	∼	NOUN
ejpam-2310	218	4	et	et	NOUN
ejpam-2310	218	5	mw	mw	X
ejpam-2310	218	6	(	(	PUNCT
ejpam-2310	218	7	α2,γ2,β	α2,γ2,β	ADV
ejpam-2310	218	8	,	,	PUNCT
ejpam-2310	218	9	λ2,δ2	λ2,δ2	PROPN
ejpam-2310	218	10	)	)	PUNCT
ejpam-2310	218	11	.	.	PUNCT
ejpam-2310	219	1	the	the	DET
ejpam-2310	219	2	c.d.f	c.d.f	PROPN
ejpam-2310	219	3	.	.	PUNCT
ejpam-2310	219	4	f1	f1	PROPN
ejpam-2310	219	5	of	of	ADP
ejpam-2310	219	6	x1	x1	PROPN
ejpam-2310	219	7	and	and	CCONJ
ejpam-2310	219	8	the	the	DET
ejpam-2310	219	9	pdf	pdf	NOUN
ejpam-2310	219	10	f2	f2	PROPN
ejpam-2310	219	11	of	of	ADP
ejpam-2310	219	12	x2	x2	PROPN
ejpam-2310	219	13	are	be	AUX
ejpam-2310	219	14	obtained	obtain	VERB
ejpam-2310	219	15	from	from	ADP
ejpam-2310	219	16	(	(	PUNCT
ejpam-2310	219	17	4	4	NUM
ejpam-2310	219	18	)	)	PUNCT
ejpam-2310	219	19	and	and	CCONJ
ejpam-2310	219	20	(	(	PUNCT
ejpam-2310	219	21	5	5	NUM
ejpam-2310	219	22	)	)	PUNCT
ejpam-2310	219	23	,	,	PUNCT
ejpam-2310	219	24	respectively	respectively	ADV
ejpam-2310	219	25	.	.	PUNCT
ejpam-2310	220	1	then	then	ADV
ejpam-2310	220	2	,	,	PUNCT
ejpam-2310	220	3	r	r	NOUN
ejpam-2310	220	4	=	=	NOUN
ejpam-2310	220	5	pr(x1	pr(x1	NOUN
ejpam-2310	220	6	>	>	X
ejpam-2310	220	7	x2	x2	PROPN
ejpam-2310	220	8	)	)	PUNCT
ejpam-2310	220	9	=	=	SYM
ejpam-2310	220	10	∫	∫	PROPN
ejpam-2310	221	1	∞	∞	NUM
ejpam-2310	221	2	0	0	NUM
ejpam-2310	222	1	f2(y)[1−	f2(y)[1−	ADJ
ejpam-2310	222	2	f1(y)]d	f1(y)]d	NOUN
ejpam-2310	222	3	y	y	PROPN
ejpam-2310	222	4	=	=	PROPN
ejpam-2310	222	5	1−	1−	NUM
ejpam-2310	222	6	∞	∞	NUM
ejpam-2310	222	7	∑	∑	PROPN
ejpam-2310	222	8	k	k	PROPN
ejpam-2310	222	9	,	,	PUNCT
ejpam-2310	222	10	l=0	l=0	PROPN
ejpam-2310	222	11	w	w	PROPN
ejpam-2310	222	12	(	(	PUNCT
ejpam-2310	222	13	1	1	NUM
ejpam-2310	222	14	)	)	PUNCT
ejpam-2310	222	15	k	k	NOUN
ejpam-2310	222	16	,	,	PUNCT
ejpam-2310	222	17	l	l	PROPN
ejpam-2310	222	18	a(k	a(k	PROPN
ejpam-2310	222	19	,	,	PUNCT
ejpam-2310	222	20	l	l	NOUN
ejpam-2310	222	21	)	)	PUNCT
ejpam-2310	222	22	,	,	PUNCT
ejpam-2310	222	23	where	where	SCONJ
ejpam-2310	222	24	w	w	NOUN
ejpam-2310	222	25	(	(	PUNCT
ejpam-2310	222	26	1	1	NUM
ejpam-2310	222	27	)	)	PUNCT
ejpam-2310	222	28	k	k	NOUN
ejpam-2310	222	29	,	,	PUNCT
ejpam-2310	222	30	l	l	NOUN
ejpam-2310	222	31	=	=	SYM
ejpam-2310	222	32	(	(	PUNCT
ejpam-2310	222	33	−1)k	−1)k	PROPN
ejpam-2310	222	34	�	�	PROPN
ejpam-2310	222	35	δ1	δ1	NOUN
ejpam-2310	222	36	k	k	PROPN
ejpam-2310	222	37	�	�	PROPN
ejpam-2310	222	38	�	�	PROPN
ejpam-2310	222	39	δ1	δ1	PROPN
ejpam-2310	222	40	l	l	PROPN
ejpam-2310	222	41	�	�	PROPN
ejpam-2310	222	42	λl	λl	VERB
ejpam-2310	222	43	1	1	NUM
ejpam-2310	222	44	,	,	PUNCT
ejpam-2310	222	45	w	w	NOUN
ejpam-2310	222	46	(	(	PUNCT
ejpam-2310	222	47	2	2	NUM
ejpam-2310	222	48	)	)	PUNCT
ejpam-2310	222	49	k	k	NOUN
ejpam-2310	222	50	,	,	PUNCT
ejpam-2310	222	51	l	l	NOUN
ejpam-2310	222	52	=	=	SYM
ejpam-2310	222	53	(	(	PUNCT
ejpam-2310	222	54	−1)k	−1)k	PROPN
ejpam-2310	222	55	�	�	PROPN
ejpam-2310	222	56	δ2	δ2	VERB
ejpam-2310	222	57	−	−	PROPN
ejpam-2310	222	58	1	1	NUM
ejpam-2310	222	59	k	k	PROPN
ejpam-2310	222	60	�	�	PROPN
ejpam-2310	222	61	�	�	PROPN
ejpam-2310	222	62	δ2	δ2	VERB
ejpam-2310	222	63	−	−	PROPN
ejpam-2310	222	64	1	1	NUM
ejpam-2310	222	65	l	l	NOUN
ejpam-2310	222	66	�	�	NOUN
ejpam-2310	222	67	λl	λl	VERB
ejpam-2310	222	68	2	2	NUM
ejpam-2310	222	69	,	,	PUNCT
ejpam-2310	222	70	and	and	CCONJ
ejpam-2310	222	71	a(k	a(k	PROPN
ejpam-2310	222	72	,	,	PUNCT
ejpam-2310	222	73	l	l	NOUN
ejpam-2310	222	74	)	)	PUNCT
ejpam-2310	222	75	=	=	SYM
ejpam-2310	223	1	∫	∫	PROPN
ejpam-2310	223	2	∞	∞	NUM
ejpam-2310	223	3	0	0	NUM
ejpam-2310	223	4	f2(y)ex	f2(y)ex	NOUN
ejpam-2310	223	5	p(−(k+	p(−(k+	PROPN
ejpam-2310	223	6	l)α1	l)α1	PROPN
ejpam-2310	223	7	y	y	PROPN
ejpam-2310	223	8	−	−	PROPN
ejpam-2310	223	9	(	(	PUNCT
ejpam-2310	223	10	k+	k+	X
ejpam-2310	223	11	l)γ2	l)γ2	NOUN
ejpam-2310	223	12	yβ	yβ	NOUN
ejpam-2310	223	13	)	)	PUNCT
ejpam-2310	224	1	d	d	NOUN
ejpam-2310	224	2	y	y	NOUN
ejpam-2310	224	3	=	=	SYM
ejpam-2310	224	4	∞	∞	PROPN
ejpam-2310	224	5	∑	∑	PROPN
ejpam-2310	224	6	i	i	PROPN
ejpam-2310	224	7	,	,	PUNCT
ejpam-2310	224	8	j=0	j=0	PROPN
ejpam-2310	224	9	w	w	PROPN
ejpam-2310	224	10	(	(	PUNCT
ejpam-2310	224	11	2	2	NUM
ejpam-2310	224	12	)	)	PUNCT
ejpam-2310	224	13	i	i	PRON
ejpam-2310	224	14	,	,	PUNCT
ejpam-2310	224	15	j	j	PROPN
ejpam-2310	224	16	∫	∫	PROPN
ejpam-2310	224	17	∞	∞	PROPN
ejpam-2310	224	18	0	0	PROPN
ejpam-2310	224	19	(	(	PUNCT
ejpam-2310	224	20	α2	α2	ADJ
ejpam-2310	224	21	+	+	CCONJ
ejpam-2310	224	22	γ2β	γ2β	PROPN
ejpam-2310	225	1	yβ−1)ex	yβ−1)ex	PROPN
ejpam-2310	225	2	p(−{(k+	p(−{(k+	PROPN
ejpam-2310	225	3	l)α1	l)α1	PROPN
ejpam-2310	225	4	+	+	CCONJ
ejpam-2310	225	5	(	(	PUNCT
ejpam-2310	225	6	i	i	PRON
ejpam-2310	225	7	+	+	NUM
ejpam-2310	225	8	j	j	PROPN
ejpam-2310	225	9	+	+	CCONJ
ejpam-2310	225	10	1)α2}y	1)α2}y	NUM
ejpam-2310	225	11	−	−	NOUN
ejpam-2310	225	12	{	{	PUNCT
ejpam-2310	225	13	(	(	PUNCT
ejpam-2310	225	14	k+	k+	X
ejpam-2310	225	15	l)γ1	l)γ1	NOUN
ejpam-2310	225	16	+	+	CCONJ
ejpam-2310	226	1	(	(	PUNCT
ejpam-2310	226	2	i	i	PRON
ejpam-2310	226	3	+	+	NUM
ejpam-2310	226	4	j	j	PROPN
ejpam-2310	226	5	+	+	CCONJ
ejpam-2310	226	6	1)γ2}yβ	1)γ2}yβ	NUM
ejpam-2310	226	7	)	)	PUNCT
ejpam-2310	226	8	(	(	PUNCT
ejpam-2310	226	9	1−λ2	1−λ2	NUM
ejpam-2310	226	10	+	+	SYM
ejpam-2310	226	11	2λ2ex	2λ2ex	NUM
ejpam-2310	226	12	p(−α2	p(−α2	SYM
ejpam-2310	226	13	y	y	PROPN
ejpam-2310	226	14	−	−	PUNCT
ejpam-2310	226	15	γ2	γ2	NOUN
ejpam-2310	226	16	yβ	yβ	NOUN
ejpam-2310	226	17	)	)	PUNCT
ejpam-2310	226	18	)	)	PUNCT
ejpam-2310	227	1	d	d	X
ejpam-2310	227	2	y	y	NOUN
ejpam-2310	227	3	=	=	SYM
ejpam-2310	227	4	∞	∞	PROPN
ejpam-2310	227	5	∑	∑	PROPN
ejpam-2310	227	6	i	i	PROPN
ejpam-2310	227	7	,	,	PUNCT
ejpam-2310	227	8	j=0	j=0	PROPN
ejpam-2310	227	9	w	w	PROPN
ejpam-2310	227	10	(	(	PUNCT
ejpam-2310	227	11	2	2	NUM
ejpam-2310	227	12	)	)	PUNCT
ejpam-2310	227	13	i	i	PRON
ejpam-2310	227	14	,	,	PUNCT
ejpam-2310	227	15	j	j	PROPN
ejpam-2310	228	1	[	[	X
ejpam-2310	228	2	α2{(1−λ2)µ	α2{(1−λ2)µ	PROPN
ejpam-2310	228	3	mw	mw	NOUN
ejpam-2310	228	4	1	1	NUM
ejpam-2310	228	5	(	(	PUNCT
ejpam-2310	228	6	(	(	PUNCT
ejpam-2310	228	7	k+	k+	X
ejpam-2310	228	8	l)α1	l)α1	PROPN
ejpam-2310	228	9	+	+	CCONJ
ejpam-2310	228	10	(	(	PUNCT
ejpam-2310	228	11	i	i	PRON
ejpam-2310	228	12	+	+	NUM
ejpam-2310	228	13	j	j	PROPN
ejpam-2310	228	14	+	+	CCONJ
ejpam-2310	228	15	1)α2	1)α2	NUM
ejpam-2310	228	16	,	,	PUNCT
ejpam-2310	228	17	(	(	PUNCT
ejpam-2310	228	18	k+	k+	X
ejpam-2310	228	19	l)γ1	l)γ1	NOUN
ejpam-2310	228	20	+	+	CCONJ
ejpam-2310	229	1	(	(	PUNCT
ejpam-2310	229	2	i	i	PRON
ejpam-2310	229	3	+	+	NUM
ejpam-2310	229	4	j	j	PROPN
ejpam-2310	229	5	+	+	NOUN
ejpam-2310	229	6	1)γ2,β	1)γ2,β	NUM
ejpam-2310	229	7	)	)	PUNCT
ejpam-2310	230	1	+	+	CCONJ
ejpam-2310	230	2	2λ2µ	2λ2µ	NUM
ejpam-2310	230	3	mw	mw	ADJ
ejpam-2310	230	4	1	1	NUM
ejpam-2310	230	5	(	(	PUNCT
ejpam-2310	230	6	(	(	PUNCT
ejpam-2310	230	7	k+	k+	X
ejpam-2310	230	8	l)α1	l)α1	PROPN
ejpam-2310	230	9	+	+	CCONJ
ejpam-2310	230	10	(	(	PUNCT
ejpam-2310	230	11	i	i	PRON
ejpam-2310	230	12	+	+	NUM
ejpam-2310	230	13	j	j	PROPN
ejpam-2310	230	14	+	+	X
ejpam-2310	230	15	2)α2	2)α2	NUM
ejpam-2310	230	16	,	,	PUNCT
ejpam-2310	230	17	(	(	PUNCT
ejpam-2310	230	18	k+	k+	X
ejpam-2310	230	19	l)γ1	l)γ1	NOUN
ejpam-2310	230	20	+	+	CCONJ
ejpam-2310	230	21	(	(	PUNCT
ejpam-2310	230	22	i	i	PRON
ejpam-2310	230	23	+	+	NUM
ejpam-2310	230	24	j	j	PROPN
ejpam-2310	230	25	+	+	NOUN
ejpam-2310	230	26	2)γ2,β	2)γ2,β	NUM
ejpam-2310	230	27	)	)	PUNCT
ejpam-2310	230	28	}	}	PUNCT
ejpam-2310	231	1	+	+	CCONJ
ejpam-2310	231	2	γ2{(1−λ2)µ	γ2{(1−λ2)µ	PROPN
ejpam-2310	231	3	mw	mw	X
ejpam-2310	231	4	β	β	X
ejpam-2310	231	5	(	(	PUNCT
ejpam-2310	231	6	(	(	PUNCT
ejpam-2310	231	7	k+	k+	X
ejpam-2310	231	8	l)α1	l)α1	PROPN
ejpam-2310	231	9	+	+	CCONJ
ejpam-2310	231	10	(	(	PUNCT
ejpam-2310	231	11	i	i	PRON
ejpam-2310	231	12	+	+	NUM
ejpam-2310	231	13	j	j	PROPN
ejpam-2310	231	14	+	+	CCONJ
ejpam-2310	231	15	1)α2	1)α2	NUM
ejpam-2310	231	16	,	,	PUNCT
ejpam-2310	231	17	(	(	PUNCT
ejpam-2310	231	18	k+	k+	X
ejpam-2310	231	19	l)γ1	l)γ1	NOUN
ejpam-2310	231	20	+	+	CCONJ
ejpam-2310	231	21	(	(	PUNCT
ejpam-2310	231	22	i	i	PRON
ejpam-2310	231	23	+	+	NUM
ejpam-2310	231	24	j	j	PROPN
ejpam-2310	231	25	+	+	NOUN
ejpam-2310	231	26	1)γ2,β	1)γ2,β	NUM
ejpam-2310	231	27	)	)	PUNCT
ejpam-2310	232	1	+	+	CCONJ
ejpam-2310	232	2	2λ2µ	2λ2µ	NOUN
ejpam-2310	232	3	mw	mw	X
ejpam-2310	232	4	β	β	X
ejpam-2310	232	5	(	(	PUNCT
ejpam-2310	232	6	(	(	PUNCT
ejpam-2310	232	7	k+	k+	X
ejpam-2310	232	8	l)α1	l)α1	PROPN
ejpam-2310	232	9	+	+	CCONJ
ejpam-2310	233	1	(	(	PUNCT
ejpam-2310	233	2	i	i	PRON
ejpam-2310	233	3	+	+	NUM
ejpam-2310	233	4	j	j	PROPN
ejpam-2310	233	5	+	+	X
ejpam-2310	233	6	2)α2	2)α2	NUM
ejpam-2310	233	7	,	,	PUNCT
ejpam-2310	233	8	(	(	PUNCT
ejpam-2310	233	9	k+	k+	X
ejpam-2310	233	10	l)γ1	l)γ1	NOUN
ejpam-2310	233	11	+	+	CCONJ
ejpam-2310	234	1	(	(	PUNCT
ejpam-2310	234	2	i	i	PRON
ejpam-2310	234	3	+	+	NUM
ejpam-2310	234	4	j	j	PROPN
ejpam-2310	234	5	+	+	NOUN
ejpam-2310	234	6	2)γ2,β	2)γ2,β	NUM
ejpam-2310	234	7	)	)	PUNCT
ejpam-2310	234	8	}	}	PUNCT
ejpam-2310	234	9	]	]	PUNCT
ejpam-2310	234	10	,	,	PUNCT
ejpam-2310	234	11	with	with	ADP
ejpam-2310	234	12	µmw	µmw	PROPN
ejpam-2310	234	13	r	r	NOUN
ejpam-2310	234	14	(	(	PUNCT
ejpam-2310	234	15	α	α	X
ejpam-2310	234	16	,	,	PUNCT
ejpam-2310	234	17	γ	γ	X
ejpam-2310	234	18	,	,	PUNCT
ejpam-2310	234	19	β	β	NOUN
ejpam-2310	234	20	)	)	PUNCT
ejpam-2310	234	21	given	give	VERB
ejpam-2310	234	22	by	by	ADP
ejpam-2310	234	23	(	(	PUNCT
ejpam-2310	234	24	11	11	NUM
ejpam-2310	234	25	)	)	PUNCT
ejpam-2310	234	26	.	.	PUNCT
ejpam-2310	235	1	in	in	ADP
ejpam-2310	235	2	particular	particular	ADJ
ejpam-2310	235	3	,	,	PUNCT
ejpam-2310	235	4	if	if	SCONJ
ejpam-2310	235	5	α1	α1	PROPN
ejpam-2310	235	6	=	=	SYM
ejpam-2310	235	7	α2	α2	ADJ
ejpam-2310	235	8	and	and	CCONJ
ejpam-2310	235	9	γ1	γ1	PROPN
ejpam-2310	235	10	=	=	SYM
ejpam-2310	235	11	γ2	γ2	PROPN
ejpam-2310	235	12	,	,	PUNCT
ejpam-2310	235	13	we	we	PRON
ejpam-2310	235	14	have	have	VERB
ejpam-2310	235	15	a(k	a(k	PROPN
ejpam-2310	235	16	,	,	PUNCT
ejpam-2310	235	17	l	l	NOUN
ejpam-2310	235	18	)	)	PUNCT
ejpam-2310	236	1	=	=	SYM
ejpam-2310	237	1	∞	∞	NUM
ejpam-2310	237	2	∑	∑	PROPN
ejpam-2310	237	3	i	i	PROPN
ejpam-2310	237	4	,	,	PUNCT
ejpam-2310	237	5	j=0	j=0	PROPN
ejpam-2310	237	6	w	w	PROPN
ejpam-2310	237	7	(	(	PUNCT
ejpam-2310	237	8	2	2	NUM
ejpam-2310	237	9	)	)	PUNCT
ejpam-2310	237	10	i	i	PRON
ejpam-2310	237	11	,	,	PUNCT
ejpam-2310	237	12	j	j	PROPN
ejpam-2310	237	13	[	[	PUNCT
ejpam-2310	237	14	(	(	PUNCT
ejpam-2310	237	15	1−λ2	1−λ2	NUM
ejpam-2310	237	16	)	)	PUNCT
ejpam-2310	237	17	(	(	PUNCT
ejpam-2310	237	18	i	i	PRON
ejpam-2310	237	19	+	+	NUM
ejpam-2310	237	20	j	j	PROPN
ejpam-2310	237	21	+	+	PUNCT
ejpam-2310	237	22	k+	k+	X
ejpam-2310	237	23	l	l	NOUN
ejpam-2310	237	24	+	+	CCONJ
ejpam-2310	237	25	1	1	X
ejpam-2310	237	26	)	)	PUNCT
ejpam-2310	237	27	+	+	CCONJ
ejpam-2310	237	28	2λ2	2λ2	NUM
ejpam-2310	237	29	(	(	PUNCT
ejpam-2310	237	30	i	i	PRON
ejpam-2310	237	31	+	+	NUM
ejpam-2310	237	32	j	j	PROPN
ejpam-2310	237	33	+	+	PUNCT
ejpam-2310	237	34	k+	k+	X
ejpam-2310	237	35	l	l	NOUN
ejpam-2310	237	36	+	+	CCONJ
ejpam-2310	237	37	2	2	NUM
ejpam-2310	237	38	)	)	PUNCT
ejpam-2310	237	39	]	]	PUNCT
ejpam-2310	237	40	.	.	PUNCT
ejpam-2310	238	1	m.	m.	NOUN
ejpam-2310	238	2	pal	pal	NOUN
ejpam-2310	238	3	and	and	CCONJ
ejpam-2310	238	4	m.	m.	NOUN
ejpam-2310	238	5	tiensuwan	tiensuwan	PROPN
ejpam-2310	238	6	/	/	SYM
ejpam-2310	238	7	eur	eur	PROPN
ejpam-2310	238	8	.	.	PUNCT
ejpam-2310	239	1	j.	j.	PROPN
ejpam-2310	239	2	pure	pure	PROPN
ejpam-2310	239	3	appl	appl	PROPN
ejpam-2310	239	4	.	.	PROPN
ejpam-2310	239	5	math	math	PROPN
ejpam-2310	239	6	,	,	PUNCT
ejpam-2310	239	7	8	8	NUM
ejpam-2310	239	8	(	(	PUNCT
ejpam-2310	239	9	2015	2015	NUM
ejpam-2310	239	10	)	)	PUNCT
ejpam-2310	239	11	,	,	PUNCT
ejpam-2310	239	12	1	1	NUM
ejpam-2310	239	13	-	-	SYM
ejpam-2310	239	14	14	14	NUM
ejpam-2310	239	15	10	10	NUM
ejpam-2310	239	16	8	8	NUM
ejpam-2310	239	17	.	.	PUNCT
ejpam-2310	240	1	least	least	ADJ
ejpam-2310	240	2	squares	square	NOUN
ejpam-2310	240	3	estimation	estimation	NOUN
ejpam-2310	240	4	let	let	VERB
ejpam-2310	240	5	t(1	t(1	NOUN
ejpam-2310	240	6	)	)	PUNCT
ejpam-2310	240	7	<	<	X
ejpam-2310	240	8	t(2	t(2	PROPN
ejpam-2310	240	9	)	)	PUNCT
ejpam-2310	240	10	<	<	X
ejpam-2310	240	11	.	.	PUNCT
ejpam-2310	240	12	.	.	PUNCT
ejpam-2310	240	13	.	.	PUNCT
ejpam-2310	241	1	<	<	X
ejpam-2310	241	2	t(n	t(n	PROPN
ejpam-2310	241	3	)	)	PUNCT
ejpam-2310	241	4	denote	denote	VERB
ejpam-2310	241	5	the	the	DET
ejpam-2310	241	6	ordered	order	VERB
ejpam-2310	241	7	observations	observation	NOUN
ejpam-2310	241	8	in	in	ADP
ejpam-2310	241	9	a	a	DET
ejpam-2310	241	10	random	random	ADJ
ejpam-2310	241	11	sample	sample	NOUN
ejpam-2310	241	12	of	of	ADP
ejpam-2310	241	13	size	size	NOUN
ejpam-2310	241	14	n	n	CCONJ
ejpam-2310	241	15	drawn	draw	VERB
ejpam-2310	241	16	from	from	ADP
ejpam-2310	241	17	the	the	DET
ejpam-2310	241	18	etmw(α	etmw(α	PROPN
ejpam-2310	241	19	,	,	PUNCT
ejpam-2310	241	20	γ	γ	PROPN
ejpam-2310	241	21	,	,	PUNCT
ejpam-2310	241	22	β	β	X
ejpam-2310	241	23	,	,	PUNCT
ejpam-2310	241	24	λ	λ	PROPN
ejpam-2310	241	25	,	,	PUNCT
ejpam-2310	241	26	δ	δ	NOUN
ejpam-2310	241	27	)	)	PUNCT
ejpam-2310	241	28	distribution	distribution	NOUN
ejpam-2310	241	29	with	with	ADP
ejpam-2310	241	30	distribution	distribution	NOUN
ejpam-2310	241	31	function	function	NOUN
ejpam-2310	241	32	f	f	X
ejpam-2310	241	33	(	(	PUNCT
ejpam-2310	241	34	·	·	PUNCT
ejpam-2310	241	35	)	)	PUNCT
ejpam-2310	241	36	,	,	PUNCT
ejpam-2310	241	37	given	give	VERB
ejpam-2310	241	38	by	by	ADP
ejpam-2310	241	39	(	(	PUNCT
ejpam-2310	241	40	4	4	NUM
ejpam-2310	241	41	)	)	PUNCT
ejpam-2310	241	42	.	.	PUNCT
ejpam-2310	242	1	then	then	ADV
ejpam-2310	242	2	,	,	PUNCT
ejpam-2310	242	3	e[f(t(i	e[f(t(i	PROPN
ejpam-2310	242	4	)	)	PUNCT
ejpam-2310	242	5	)	)	PUNCT
ejpam-2310	242	6	]	]	PUNCT
ejpam-2310	243	1	=	=	PUNCT
ejpam-2310	243	2	i	i	PRON
ejpam-2310	243	3	n+	n+	PUNCT
ejpam-2310	243	4	1	1	NUM
ejpam-2310	243	5	,	,	PUNCT
ejpam-2310	243	6	i	i	PRON
ejpam-2310	243	7	=	=	NOUN
ejpam-2310	243	8	1,2	1,2	NUM
ejpam-2310	243	9	,	,	PUNCT
ejpam-2310	243	10	.	.	PUNCT
ejpam-2310	243	11	.	.	PUNCT
ejpam-2310	243	12	.	.	PUNCT
ejpam-2310	244	1	,	,	PUNCT
ejpam-2310	244	2	n.	n.	VERB
ejpam-2310	244	3	the	the	DET
ejpam-2310	244	4	least	least	ADJ
ejpam-2310	244	5	square	square	ADJ
ejpam-2310	244	6	estimators	estimator	NOUN
ejpam-2310	244	7	are	be	AUX
ejpam-2310	244	8	obtained	obtain	VERB
ejpam-2310	244	9	by	by	ADP
ejpam-2310	244	10	minimizing	minimize	VERB
ejpam-2310	244	11	d(θ	d(θ	PROPN
ejpam-2310	244	12	)	)	PUNCT
ejpam-2310	245	1	=	=	PUNCT
ejpam-2310	246	1	n	n	CCONJ
ejpam-2310	246	2	∑	∑	ADP
ejpam-2310	246	3	i=1	i=1	PROPN
ejpam-2310	246	4	�	�	PROPN
ejpam-2310	246	5	f(t(i))−	f(t(i))−	VERB
ejpam-2310	246	6	i	i	PRON
ejpam-2310	246	7	n+	n+	PUNCT
ejpam-2310	246	8	1	1	NUM
ejpam-2310	246	9	�	�	SYM
ejpam-2310	246	10	2	2	NUM
ejpam-2310	246	11	=	=	SYM
ejpam-2310	246	12	n	n	CCONJ
ejpam-2310	246	13	∑	∑	PROPN
ejpam-2310	246	14	i=1	i=1	PROPN
ejpam-2310	246	15	�	�	PROPN
ejpam-2310	246	16	(	(	PUNCT
ejpam-2310	246	17	1−	1−	NUM
ejpam-2310	246	18	ex	ex	X
ejpam-2310	246	19	p(−αt(i	p(−αt(i	NOUN
ejpam-2310	246	20	)	)	PUNCT
ejpam-2310	247	1	−	−	PROPN
ejpam-2310	247	2	γt	γt	NOUN
ejpam-2310	247	3	β	β	X
ejpam-2310	247	4	(	(	PUNCT
ejpam-2310	247	5	i	i	NOUN
ejpam-2310	247	6	)	)	PUNCT
ejpam-2310	247	7	)	)	PUNCT
ejpam-2310	247	8	)	)	PUNCT
ejpam-2310	247	9	δ(1+λex	δ(1+λex	PROPN
ejpam-2310	247	10	p(−αt(i	p(−αt(i	NUM
ejpam-2310	247	11	)	)	PUNCT
ejpam-2310	248	1	−	−	PROPN
ejpam-2310	248	2	γt	γt	NOUN
ejpam-2310	248	3	β	β	X
ejpam-2310	248	4	(	(	PUNCT
ejpam-2310	248	5	i	i	NOUN
ejpam-2310	248	6	)	)	PUNCT
ejpam-2310	248	7	)	)	PUNCT
ejpam-2310	248	8	)	)	PUNCT
ejpam-2310	249	1	δ	δ	PROPN
ejpam-2310	249	2	−	−	NOUN
ejpam-2310	250	1	i	i	PRON
ejpam-2310	250	2	n+	n+	PUNCT
ejpam-2310	250	3	1	1	NUM
ejpam-2310	250	4	�	�	NOUN
ejpam-2310	250	5	2	2	NUM
ejpam-2310	250	6	.	.	PUNCT
ejpam-2310	251	1	writing	write	VERB
ejpam-2310	251	2	vi	vi	NOUN
ejpam-2310	251	3	=	=	PUNCT
ejpam-2310	251	4	ex	ex	X
ejpam-2310	251	5	p(−αt(i)−γt	p(−αt(i)−γt	NUM
ejpam-2310	251	6	β	β	X
ejpam-2310	251	7	(	(	PUNCT
ejpam-2310	251	8	i	i	NOUN
ejpam-2310	251	9	)	)	PUNCT
ejpam-2310	251	10	)	)	PUNCT
ejpam-2310	251	11	,	,	PUNCT
ejpam-2310	251	12	the	the	DET
ejpam-2310	251	13	normal	normal	ADJ
ejpam-2310	251	14	equations	equation	NOUN
ejpam-2310	251	15	to	to	PART
ejpam-2310	251	16	be	be	AUX
ejpam-2310	251	17	satisfied	satisfy	VERB
ejpam-2310	251	18	by	by	ADP
ejpam-2310	251	19	the	the	DET
ejpam-2310	251	20	estimators	estimator	NOUN
ejpam-2310	251	21	are	be	AUX
ejpam-2310	251	22	as	as	SCONJ
ejpam-2310	251	23	follows	follow	VERB
ejpam-2310	251	24	:	:	PUNCT
ejpam-2310	251	25	n	n	CCONJ
ejpam-2310	251	26	∑	∑	PROPN
ejpam-2310	251	27	i=1	i=1	PROPN
ejpam-2310	251	28	�	�	PROPN
ejpam-2310	251	29	(	(	PUNCT
ejpam-2310	251	30	1−	1−	NUM
ejpam-2310	251	31	vi	vi	NOUN
ejpam-2310	251	32	)	)	PUNCT
ejpam-2310	251	33	δ(1+λvi	δ(1+λvi	NOUN
ejpam-2310	251	34	)	)	PUNCT
ejpam-2310	251	35	δ	δ	PROPN
ejpam-2310	251	36	−	−	NOUN
ejpam-2310	252	1	i	i	PRON
ejpam-2310	252	2	n+	n+	PUNCT
ejpam-2310	252	3	1	1	NUM
ejpam-2310	252	4	�	�	PROPN
ejpam-2310	252	5	(	(	PUNCT
ejpam-2310	252	6	1−	1−	NUM
ejpam-2310	252	7	vi	vi	NOUN
ejpam-2310	252	8	)	)	PUNCT
ejpam-2310	252	9	δ−1(1+λvi	δ−1(1+λvi	NOUN
ejpam-2310	252	10	)	)	PUNCT
ejpam-2310	252	11	δ−1t(i)vi(1−λ+	δ−1t(i)vi(1−λ+	PROPN
ejpam-2310	252	12	2λvi	2λvi	PROPN
ejpam-2310	252	13	)	)	PUNCT
ejpam-2310	253	1	=	=	SYM
ejpam-2310	253	2	0	0	NUM
ejpam-2310	254	1	n	n	CCONJ
ejpam-2310	254	2	∑	∑	PROPN
ejpam-2310	254	3	i=1	i=1	PROPN
ejpam-2310	254	4	�	�	PROPN
ejpam-2310	254	5	(	(	PUNCT
ejpam-2310	254	6	1−	1−	NUM
ejpam-2310	254	7	vi	vi	NOUN
ejpam-2310	254	8	)	)	PUNCT
ejpam-2310	254	9	δ(1+λvi	δ(1+λvi	NOUN
ejpam-2310	254	10	)	)	PUNCT
ejpam-2310	254	11	δ	δ	PROPN
ejpam-2310	254	12	−	−	NOUN
ejpam-2310	255	1	i	i	PRON
ejpam-2310	255	2	n+	n+	PUNCT
ejpam-2310	255	3	1	1	NUM
ejpam-2310	255	4	�	�	PROPN
ejpam-2310	255	5	(	(	PUNCT
ejpam-2310	255	6	1−	1−	NUM
ejpam-2310	255	7	vi	vi	NOUN
ejpam-2310	255	8	)	)	PUNCT
ejpam-2310	255	9	δ−1(1+λvi	δ−1(1+λvi	NOUN
ejpam-2310	255	10	)	)	PUNCT
ejpam-2310	256	1	δ−1	δ−1	PROPN
ejpam-2310	256	2	t	t	NOUN
ejpam-2310	256	3	β	β	X
ejpam-2310	256	4	(	(	PUNCT
ejpam-2310	256	5	i	i	NOUN
ejpam-2310	256	6	)	)	PUNCT
ejpam-2310	256	7	vi(1−λ+	vi(1−λ+	PROPN
ejpam-2310	256	8	2λvi	2λvi	NUM
ejpam-2310	256	9	)	)	PUNCT
ejpam-2310	257	1	=	=	SYM
ejpam-2310	257	2	0	0	NUM
ejpam-2310	258	1	n	n	CCONJ
ejpam-2310	258	2	∑	∑	PROPN
ejpam-2310	258	3	i=1	i=1	PROPN
ejpam-2310	258	4	�	�	PROPN
ejpam-2310	258	5	(	(	PUNCT
ejpam-2310	258	6	1−	1−	NUM
ejpam-2310	258	7	vi	vi	NOUN
ejpam-2310	258	8	)	)	PUNCT
ejpam-2310	258	9	δ(1+λvi	δ(1+λvi	NOUN
ejpam-2310	258	10	)	)	PUNCT
ejpam-2310	258	11	δ	δ	PROPN
ejpam-2310	258	12	−	−	NOUN
ejpam-2310	259	1	i	i	PRON
ejpam-2310	259	2	n+	n+	PUNCT
ejpam-2310	259	3	1	1	NUM
ejpam-2310	259	4	�	�	PROPN
ejpam-2310	259	5	(	(	PUNCT
ejpam-2310	259	6	1−	1−	NUM
ejpam-2310	259	7	vi	vi	NOUN
ejpam-2310	259	8	)	)	PUNCT
ejpam-2310	259	9	δ−1(1+λvi	δ−1(1+λvi	NOUN
ejpam-2310	259	10	)	)	PUNCT
ejpam-2310	260	1	δ−1	δ−1	PROPN
ejpam-2310	260	2	t	t	NOUN
ejpam-2310	260	3	β	β	X
ejpam-2310	260	4	(	(	PUNCT
ejpam-2310	260	5	i	i	NOUN
ejpam-2310	260	6	)	)	PUNCT
ejpam-2310	261	1	ln(t(i))vi(1−λ+	ln(t(i))vi(1−λ+	PROPN
ejpam-2310	261	2	2λvi	2λvi	PROPN
ejpam-2310	261	3	)	)	PUNCT
ejpam-2310	261	4	=	=	SYM
ejpam-2310	261	5	0	0	NUM
ejpam-2310	262	1	n	n	CCONJ
ejpam-2310	262	2	∑	∑	PROPN
ejpam-2310	262	3	i=1	i=1	PROPN
ejpam-2310	262	4	�	�	PROPN
ejpam-2310	262	5	(	(	PUNCT
ejpam-2310	262	6	1−	1−	NUM
ejpam-2310	262	7	vi	vi	NOUN
ejpam-2310	262	8	)	)	PUNCT
ejpam-2310	262	9	δ(1+λvi	δ(1+λvi	NOUN
ejpam-2310	262	10	)	)	PUNCT
ejpam-2310	262	11	δ	δ	PROPN
ejpam-2310	262	12	−	−	NOUN
ejpam-2310	263	1	i	i	PRON
ejpam-2310	263	2	n+	n+	PUNCT
ejpam-2310	263	3	1	1	NUM
ejpam-2310	263	4	�	�	PROPN
ejpam-2310	263	5	(	(	PUNCT
ejpam-2310	263	6	1−	1−	NUM
ejpam-2310	263	7	vi	vi	NOUN
ejpam-2310	263	8	)	)	PUNCT
ejpam-2310	263	9	δ(1+λvi	δ(1+λvi	NOUN
ejpam-2310	263	10	)	)	PUNCT
ejpam-2310	263	11	δ−1vi	δ−1vi	NOUN
ejpam-2310	263	12	=	=	SYM
ejpam-2310	263	13	0	0	NUM
ejpam-2310	263	14	n	n	CCONJ
ejpam-2310	263	15	∑	∑	PROPN
ejpam-2310	263	16	i=1	i=1	PROPN
ejpam-2310	263	17	�	�	PROPN
ejpam-2310	263	18	(	(	PUNCT
ejpam-2310	263	19	1−	1−	NUM
ejpam-2310	263	20	vi	vi	NOUN
ejpam-2310	263	21	)	)	PUNCT
ejpam-2310	263	22	δ(1+λvi	δ(1+λvi	NOUN
ejpam-2310	263	23	)	)	PUNCT
ejpam-2310	263	24	δ	δ	PROPN
ejpam-2310	263	25	−	−	NOUN
ejpam-2310	264	1	i	i	PRON
ejpam-2310	264	2	n+	n+	PUNCT
ejpam-2310	264	3	1	1	NUM
ejpam-2310	264	4	�	�	PROPN
ejpam-2310	264	5	(	(	PUNCT
ejpam-2310	264	6	1−	1−	NUM
ejpam-2310	264	7	vi	vi	NOUN
ejpam-2310	264	8	)	)	PUNCT
ejpam-2310	264	9	δ(1+λvi	δ(1+λvi	NOUN
ejpam-2310	264	10	)	)	PUNCT
ejpam-2310	264	11	δ[ln(1−	δ[ln(1−	PROPN
ejpam-2310	264	12	vi	vi	PROPN
ejpam-2310	264	13	)	)	PUNCT
ejpam-2310	264	14	+	+	CCONJ
ejpam-2310	264	15	ln(1+λvi	ln(1+λvi	NOUN
ejpam-2310	264	16	)	)	PUNCT
ejpam-2310	264	17	]	]	PUNCT
ejpam-2310	265	1	=	=	PUNCT
ejpam-2310	265	2	0	0	X
ejpam-2310	265	3	.	.	NOUN
ejpam-2310	265	4	9	9	NUM
ejpam-2310	265	5	.	.	X
ejpam-2310	265	6	maximum	maximum	ADJ
ejpam-2310	265	7	likelihood	likelihood	NOUN
ejpam-2310	265	8	method	method	NOUN
ejpam-2310	265	9	of	of	ADP
ejpam-2310	265	10	estimation	estimation	NOUN
ejpam-2310	265	11	consider	consider	VERB
ejpam-2310	265	12	a	a	DET
ejpam-2310	265	13	random	random	ADJ
ejpam-2310	265	14	sample	sample	NOUN
ejpam-2310	265	15	(	(	PUNCT
ejpam-2310	265	16	t1	t1	NOUN
ejpam-2310	265	17	,	,	PUNCT
ejpam-2310	265	18	t2	t2	NOUN
ejpam-2310	265	19	,	,	PUNCT
ejpam-2310	265	20	.	.	PUNCT
ejpam-2310	265	21	.	.	PUNCT
ejpam-2310	266	1	.	.	PUNCT
ejpam-2310	267	1	,	,	PUNCT
ejpam-2310	267	2	tn	tn	PROPN
ejpam-2310	267	3	)	)	PUNCT
ejpam-2310	267	4	of	of	ADP
ejpam-2310	267	5	size	size	NOUN
ejpam-2310	267	6	n	n	CCONJ
ejpam-2310	267	7	taken	take	VERB
ejpam-2310	267	8	from	from	ADP
ejpam-2310	267	9	the	the	DET
ejpam-2310	267	10	distribution	distribution	NOUN
ejpam-2310	267	11	etmw(α	etmw(α	NOUN
ejpam-2310	267	12	,	,	PUNCT
ejpam-2310	267	13	γ	γ	X
ejpam-2310	267	14	,	,	PUNCT
ejpam-2310	267	15	β	β	X
ejpam-2310	267	16	,	,	PUNCT
ejpam-2310	267	17	λ	λ	PROPN
ejpam-2310	267	18	,	,	PUNCT
ejpam-2310	267	19	δ	δ	PROPN
ejpam-2310	267	20	)	)	PUNCT
ejpam-2310	267	21	with	with	ADP
ejpam-2310	267	22	density	density	NOUN
ejpam-2310	267	23	function	function	NOUN
ejpam-2310	267	24	(	(	PUNCT
ejpam-2310	267	25	5	5	NUM
ejpam-2310	267	26	)	)	PUNCT
ejpam-2310	267	27	.	.	PUNCT
ejpam-2310	268	1	for	for	ADP
ejpam-2310	268	2	given	give	VERB
ejpam-2310	268	3	ti	ti	NOUN
ejpam-2310	268	4	=	=	SYM
ejpam-2310	268	5	t	t	PROPN
ejpam-2310	268	6	i	i	PRON
ejpam-2310	268	7	,	,	PUNCT
ejpam-2310	268	8	i	i	NOUN
ejpam-2310	268	9	=	=	NOUN
ejpam-2310	268	10	1,2	1,2	NUM
ejpam-2310	268	11	,	,	PUNCT
ejpam-2310	268	12	.	.	PUNCT
ejpam-2310	268	13	.	.	PUNCT
ejpam-2310	268	14	.	.	PUNCT
ejpam-2310	269	1	,	,	PUNCT
ejpam-2310	269	2	n	n	CCONJ
ejpam-2310	269	3	,	,	PUNCT
ejpam-2310	269	4	the	the	DET
ejpam-2310	269	5	log	log	NOUN
ejpam-2310	269	6	-	-	PUNCT
ejpam-2310	269	7	likelihood	likelihood	NOUN
ejpam-2310	269	8	function	function	NOUN
ejpam-2310	269	9	for	for	ADP
ejpam-2310	269	10	θ	θ	PROPN
ejpam-2310	269	11	=	=	SYM
ejpam-2310	269	12	(	(	PUNCT
ejpam-2310	269	13	α	α	X
ejpam-2310	269	14	,	,	PUNCT
ejpam-2310	269	15	γ	γ	X
ejpam-2310	269	16	,	,	PUNCT
ejpam-2310	269	17	β	β	X
ejpam-2310	269	18	,	,	PUNCT
ejpam-2310	269	19	λ	λ	PROPN
ejpam-2310	269	20	,	,	PUNCT
ejpam-2310	269	21	δ	δ	PROPN
ejpam-2310	269	22	)	)	PUNCT
ejpam-2310	269	23	is	be	AUX
ejpam-2310	269	24	l(θ	l(θ	NOUN
ejpam-2310	269	25	)	)	PUNCT
ejpam-2310	270	1	=	=	NOUN
ejpam-2310	270	2	n	n	PRON
ejpam-2310	270	3	lnδ+	lnδ+	NOUN
ejpam-2310	270	4	(	(	PUNCT
ejpam-2310	270	5	δ−	δ−	PROPN
ejpam-2310	270	6	1	1	NUM
ejpam-2310	270	7	)	)	PUNCT
ejpam-2310	270	8	{	{	PUNCT
ejpam-2310	271	1	n	n	ADV
ejpam-2310	271	2	∑	∑	PUNCT
ejpam-2310	271	3	i=1	i=1	PROPN
ejpam-2310	272	1	ln(1−	ln(1−	PROPN
ejpam-2310	272	2	ex	ex	PRON
ejpam-2310	272	3	p(−αt	p(−αt	NOUN
ejpam-2310	273	1	i	i	PRON
ejpam-2310	273	2	−	−	VERB
ejpam-2310	273	3	γt	γt	VERB
ejpam-2310	273	4	β	β	X
ejpam-2310	273	5	i	i	PROPN
ejpam-2310	273	6	)	)	PUNCT
ejpam-2310	273	7	)	)	PUNCT
ejpam-2310	274	1	+	+	CCONJ
ejpam-2310	274	2	n	n	X
ejpam-2310	274	3	∑	∑	ADP
ejpam-2310	274	4	i=1	i=1	PROPN
ejpam-2310	274	5	ln(1+λex	ln(1+λex	PROPN
ejpam-2310	274	6	p(−αt	p(−αt	NOUN
ejpam-2310	275	1	i	i	PRON
ejpam-2310	275	2	−	−	VERB
ejpam-2310	275	3	γt	γt	VERB
ejpam-2310	275	4	β	β	X
ejpam-2310	275	5	i	i	PROPN
ejpam-2310	275	6	)	)	PUNCT
ejpam-2310	275	7	)	)	PUNCT
ejpam-2310	275	8	}	}	PUNCT
ejpam-2310	276	1	+	+	CCONJ
ejpam-2310	276	2	n	n	CCONJ
ejpam-2310	276	3	∑	∑	NOUN
ejpam-2310	276	4	i=1	i=1	PROPN
ejpam-2310	276	5	ln(α+	ln(α+	PROPN
ejpam-2310	276	6	γβ	γβ	PROPN
ejpam-2310	276	7	t	t	NOUN
ejpam-2310	276	8	β−1	β−1	PUNCT
ejpam-2310	276	9	i	i	PRON
ejpam-2310	276	10	)	)	PUNCT
ejpam-2310	277	1	+	+	CCONJ
ejpam-2310	277	2	n	n	X
ejpam-2310	277	3	∑	∑	ADP
ejpam-2310	277	4	i=1	i=1	PROPN
ejpam-2310	277	5	ln(1−λ+	ln(1−λ+	PROPN
ejpam-2310	277	6	2λex	2λex	NUM
ejpam-2310	277	7	p(−αt	p(−αt	NOUN
ejpam-2310	278	1	i	i	PRON
ejpam-2310	278	2	−	−	VERB
ejpam-2310	278	3	γt	γt	VERB
ejpam-2310	278	4	β	β	X
ejpam-2310	278	5	i	i	PROPN
ejpam-2310	278	6	)	)	PUNCT
ejpam-2310	278	7	)	)	PUNCT
ejpam-2310	279	1	−	−	PROPN
ejpam-2310	280	1	n	n	PROPN
ejpam-2310	280	2	∑	∑	PROPN
ejpam-2310	280	3	i=1	i=1	PROPN
ejpam-2310	280	4	(	(	PUNCT
ejpam-2310	280	5	αt	αt	NOUN
ejpam-2310	280	6	i	i	PROPN
ejpam-2310	280	7	+	+	X
ejpam-2310	280	8	γt	γt	X
ejpam-2310	280	9	β	β	X
ejpam-2310	280	10	i	i	PROPN
ejpam-2310	280	11	)	)	PUNCT
ejpam-2310	280	12	.	.	PUNCT
ejpam-2310	281	1	m.	m.	NOUN
ejpam-2310	281	2	pal	pal	NOUN
ejpam-2310	281	3	and	and	CCONJ
ejpam-2310	281	4	m.	m.	NOUN
ejpam-2310	281	5	tiensuwan	tiensuwan	PROPN
ejpam-2310	281	6	/	/	SYM
ejpam-2310	281	7	eur	eur	PROPN
ejpam-2310	281	8	.	.	PUNCT
ejpam-2310	282	1	j.	j.	PROPN
ejpam-2310	282	2	pure	pure	PROPN
ejpam-2310	282	3	appl	appl	PROPN
ejpam-2310	282	4	.	.	PROPN
ejpam-2310	282	5	math	math	PROPN
ejpam-2310	282	6	,	,	PUNCT
ejpam-2310	282	7	8	8	NUM
ejpam-2310	282	8	(	(	PUNCT
ejpam-2310	282	9	2015	2015	NUM
ejpam-2310	282	10	)	)	PUNCT
ejpam-2310	282	11	,	,	PUNCT
ejpam-2310	282	12	1	1	NUM
ejpam-2310	282	13	-	-	SYM
ejpam-2310	282	14	14	14	NUM
ejpam-2310	282	15	11	11	NUM
ejpam-2310	282	16	writing	write	VERB
ejpam-2310	282	17	νi	νi	PRON
ejpam-2310	282	18	=	=	NOUN
ejpam-2310	282	19	ex	ex	PRON
ejpam-2310	282	20	p(−αt	p(−αt	NOUN
ejpam-2310	283	1	i	i	PRON
ejpam-2310	283	2	−	−	VERB
ejpam-2310	283	3	γt	γt	VERB
ejpam-2310	283	4	β	β	X
ejpam-2310	283	5	i	i	PROPN
ejpam-2310	283	6	)	)	PUNCT
ejpam-2310	283	7	)	)	PUNCT
ejpam-2310	283	8	,	,	PUNCT
ejpam-2310	284	1	i	i	NOUN
ejpam-2310	284	2	=	=	NOUN
ejpam-2310	284	3	1,2	1,2	NUM
ejpam-2310	284	4	,	,	PUNCT
ejpam-2310	284	5	.	.	PUNCT
ejpam-2310	284	6	.	.	PUNCT
ejpam-2310	285	1	.	.	PUNCT
ejpam-2310	286	1	,	,	PUNCT
ejpam-2310	286	2	n	n	CCONJ
ejpam-2310	286	3	,	,	PUNCT
ejpam-2310	286	4	the	the	DET
ejpam-2310	286	5	log	log	NOUN
ejpam-2310	286	6	-	-	PUNCT
ejpam-2310	286	7	likelihood	likelihood	NOUN
ejpam-2310	286	8	equations	equation	NOUN
ejpam-2310	286	9	are	be	AUX
ejpam-2310	286	10	obtained	obtain	VERB
ejpam-2310	286	11	as	as	ADP
ejpam-2310	286	12	follows	follow	VERB
ejpam-2310	286	13	:	:	PUNCT
ejpam-2310	286	14	n	n	CCONJ
ejpam-2310	286	15	∑	∑	PROPN
ejpam-2310	286	16	i=1	i=1	PROPN
ejpam-2310	287	1	t	t	PROPN
ejpam-2310	288	1	i	i	NOUN
ejpam-2310	289	1	=	=	PROPN
ejpam-2310	290	1	−	−	PROPN
ejpam-2310	290	2	2λ	2λ	PROPN
ejpam-2310	290	3	n	n	CCONJ
ejpam-2310	290	4	∑	∑	PROPN
ejpam-2310	290	5	i=1	i=1	PROPN
ejpam-2310	290	6	t	t	PROPN
ejpam-2310	290	7	iνi	iνi	NOUN
ejpam-2310	290	8	(	(	PUNCT
ejpam-2310	290	9	1−λ+	1−λ+	NUM
ejpam-2310	290	10	2λνi	2λνi	NUM
ejpam-2310	290	11	)	)	PUNCT
ejpam-2310	291	1	+	+	CCONJ
ejpam-2310	291	2	(	(	PUNCT
ejpam-2310	291	3	1−δ	1−δ	NUM
ejpam-2310	291	4	)	)	PUNCT
ejpam-2310	292	1	n	n	NOUN
ejpam-2310	292	2	∑	∑	PROPN
ejpam-2310	292	3	i=1	i=1	PROPN
ejpam-2310	292	4	t	t	PROPN
ejpam-2310	292	5	iνi(1−λ+	iνi(1−λ+	PROPN
ejpam-2310	292	6	2λνi	2λνi	NUM
ejpam-2310	292	7	)	)	PUNCT
ejpam-2310	292	8	(	(	PUNCT
ejpam-2310	292	9	1−	1−	NUM
ejpam-2310	292	10	νi)(1+λνi	νi)(1+λνi	NOUN
ejpam-2310	292	11	)	)	PUNCT
ejpam-2310	293	1	+	+	CCONJ
ejpam-2310	293	2	n	n	CCONJ
ejpam-2310	293	3	∑	∑	PUNCT
ejpam-2310	293	4	i=1	i=1	PROPN
ejpam-2310	293	5	1	1	NUM
ejpam-2310	293	6	(	(	PUNCT
ejpam-2310	293	7	α+	α+	X
ejpam-2310	293	8	γβ	γβ	NOUN
ejpam-2310	293	9	t	t	NOUN
ejpam-2310	293	10	β−1	β−1	PUNCT
ejpam-2310	293	11	i	i	PRON
ejpam-2310	293	12	)	)	PUNCT
ejpam-2310	293	13	(	(	PUNCT
ejpam-2310	293	14	13	13	NUM
ejpam-2310	293	15	)	)	PUNCT
ejpam-2310	294	1	n	n	NOUN
ejpam-2310	294	2	∑	∑	PROPN
ejpam-2310	294	3	i=1	i=1	PROPN
ejpam-2310	294	4	t	t	X
ejpam-2310	294	5	β	β	X
ejpam-2310	294	6	i	i	PRON
ejpam-2310	294	7	=	=	NOUN
ejpam-2310	294	8	−	−	PROPN
ejpam-2310	294	9	2λ	2λ	PROPN
ejpam-2310	295	1	n	n	CCONJ
ejpam-2310	295	2	∑	∑	PROPN
ejpam-2310	295	3	i=1	i=1	PROPN
ejpam-2310	295	4	t	t	X
ejpam-2310	295	5	β	β	X
ejpam-2310	295	6	i	i	PRON
ejpam-2310	295	7	νi	νi	INTJ
ejpam-2310	295	8	(	(	PUNCT
ejpam-2310	295	9	1−λ+	1−λ+	NUM
ejpam-2310	295	10	2λνi	2λνi	NUM
ejpam-2310	295	11	)	)	PUNCT
ejpam-2310	296	1	+	+	CCONJ
ejpam-2310	296	2	(	(	PUNCT
ejpam-2310	296	3	1−δ	1−δ	NUM
ejpam-2310	296	4	)	)	PUNCT
ejpam-2310	296	5	n	n	NOUN
ejpam-2310	296	6	∑	∑	PUNCT
ejpam-2310	296	7	i=1	i=1	PROPN
ejpam-2310	296	8	t	t	X
ejpam-2310	296	9	β	β	X
ejpam-2310	296	10	i	i	PRON
ejpam-2310	296	11	νi(1−λ+	νi(1−λ+	X
ejpam-2310	296	12	2λνi	2λνi	NUM
ejpam-2310	296	13	)	)	PUNCT
ejpam-2310	296	14	(	(	PUNCT
ejpam-2310	296	15	1−	1−	NUM
ejpam-2310	296	16	νi)(1+λνi	νi)(1+λνi	NOUN
ejpam-2310	296	17	)	)	PUNCT
ejpam-2310	297	1	+	+	CCONJ
ejpam-2310	297	2	β	β	PROPN
ejpam-2310	297	3	n	n	X
ejpam-2310	297	4	∑	∑	PROPN
ejpam-2310	297	5	i=1	i=1	PROPN
ejpam-2310	297	6	t	t	PROPN
ejpam-2310	297	7	β−1	β−1	PUNCT
ejpam-2310	298	1	i	i	PRON
ejpam-2310	298	2	(	(	PUNCT
ejpam-2310	298	3	α+	α+	X
ejpam-2310	298	4	γβ	γβ	NOUN
ejpam-2310	298	5	t	t	NOUN
ejpam-2310	298	6	β−1	β−1	PUNCT
ejpam-2310	298	7	i	i	PRON
ejpam-2310	298	8	)	)	PUNCT
ejpam-2310	298	9	(	(	PUNCT
ejpam-2310	298	10	14	14	NUM
ejpam-2310	298	11	)	)	PUNCT
ejpam-2310	298	12	n	n	NOUN
ejpam-2310	298	13	∑	∑	PROPN
ejpam-2310	298	14	i=1	i=1	PROPN
ejpam-2310	298	15	t	t	X
ejpam-2310	298	16	β	β	X
ejpam-2310	299	1	i	i	PRON
ejpam-2310	299	2	ln	ln	NOUN
ejpam-2310	299	3	t	t	PROPN
ejpam-2310	300	1	i	i	PRON
ejpam-2310	300	2	=	=	NOUN
ejpam-2310	300	3	−	−	PROPN
ejpam-2310	300	4	2λ	2λ	PROPN
ejpam-2310	300	5	n	n	CCONJ
ejpam-2310	300	6	∑	∑	PROPN
ejpam-2310	300	7	i=1	i=1	PROPN
ejpam-2310	300	8	(	(	PUNCT
ejpam-2310	300	9	t	t	NOUN
ejpam-2310	300	10	β	β	X
ejpam-2310	300	11	i	i	PROPN
ejpam-2310	300	12	ln	ln	NOUN
ejpam-2310	300	13	t	t	PROPN
ejpam-2310	301	1	i)νi	i)νi	PROPN
ejpam-2310	301	2	(	(	PUNCT
ejpam-2310	301	3	1−λ+	1−λ+	NUM
ejpam-2310	301	4	2λνi	2λνi	NUM
ejpam-2310	301	5	)	)	PUNCT
ejpam-2310	302	1	+	+	CCONJ
ejpam-2310	302	2	(	(	PUNCT
ejpam-2310	302	3	1−δ	1−δ	NUM
ejpam-2310	302	4	)	)	PUNCT
ejpam-2310	302	5	n	n	CCONJ
ejpam-2310	302	6	∑	∑	PROPN
ejpam-2310	302	7	i=1	i=1	PROPN
ejpam-2310	302	8	(	(	PUNCT
ejpam-2310	302	9	t	t	NOUN
ejpam-2310	302	10	β	β	X
ejpam-2310	302	11	i	i	PROPN
ejpam-2310	302	12	ln	ln	PROPN
ejpam-2310	302	13	t	t	PROPN
ejpam-2310	302	14	i)νi(1−λ+	i)νi(1−λ+	PROPN
ejpam-2310	302	15	2λνi	2λνi	NUM
ejpam-2310	302	16	)	)	PUNCT
ejpam-2310	302	17	(	(	PUNCT
ejpam-2310	302	18	1−	1−	NUM
ejpam-2310	302	19	νi)(1+λνi	νi)(1+λνi	NOUN
ejpam-2310	302	20	)	)	PUNCT
ejpam-2310	302	21	(	(	PUNCT
ejpam-2310	302	22	15	15	NUM
ejpam-2310	302	23	)	)	PUNCT
ejpam-2310	302	24	+	+	CCONJ
ejpam-2310	302	25	n	n	CCONJ
ejpam-2310	302	26	∑	∑	ADP
ejpam-2310	302	27	i=1	i=1	PROPN
ejpam-2310	302	28	t	t	PROPN
ejpam-2310	302	29	β−1	β−1	PUNCT
ejpam-2310	302	30	i	i	PRON
ejpam-2310	302	31	(	(	PUNCT
ejpam-2310	302	32	1	1	NUM
ejpam-2310	302	33	+	+	NUM
ejpam-2310	302	34	β	β	X
ejpam-2310	302	35	ln	ln	NOUN
ejpam-2310	302	36	t	t	PROPN
ejpam-2310	302	37	i	i	PROPN
ejpam-2310	302	38	)	)	PUNCT
ejpam-2310	302	39	(	(	PUNCT
ejpam-2310	302	40	α+	α+	X
ejpam-2310	302	41	γβ	γβ	NOUN
ejpam-2310	302	42	t	t	NOUN
ejpam-2310	302	43	β−1	β−1	PUNCT
ejpam-2310	302	44	i	i	PRON
ejpam-2310	302	45	)	)	PUNCT
ejpam-2310	302	46	(	(	PUNCT
ejpam-2310	302	47	16	16	NUM
ejpam-2310	302	48	)	)	PUNCT
ejpam-2310	302	49	(	(	PUNCT
ejpam-2310	302	50	δ−	δ−	NOUN
ejpam-2310	302	51	1	1	NUM
ejpam-2310	302	52	)	)	PUNCT
ejpam-2310	302	53	n	n	NOUN
ejpam-2310	302	54	∑	∑	PUNCT
ejpam-2310	302	55	i=1	i=1	PROPN
ejpam-2310	302	56	νi	νi	DET
ejpam-2310	302	57	1+λνi	1+λνi	NOUN
ejpam-2310	302	58	=	=	SYM
ejpam-2310	302	59	n	n	CCONJ
ejpam-2310	302	60	∑	∑	PROPN
ejpam-2310	302	61	i=1	i=1	PROPN
ejpam-2310	302	62	1−	1−	NUM
ejpam-2310	302	63	2νi	2νi	PROPN
ejpam-2310	302	64	1−λ+	1−λ+	NUM
ejpam-2310	302	65	2λνi	2λνi	PROPN
ejpam-2310	302	66	(	(	PUNCT
ejpam-2310	302	67	17	17	NUM
ejpam-2310	302	68	)	)	PUNCT
ejpam-2310	302	69	n	n	NOUN
ejpam-2310	302	70	∑	∑	PUNCT
ejpam-2310	302	71	i=1	i=1	PROPN
ejpam-2310	302	72	ln(1−	ln(1−	ADJ
ejpam-2310	302	73	νi	νi	NOUN
ejpam-2310	302	74	)	)	PUNCT
ejpam-2310	302	75	+	+	NUM
ejpam-2310	302	76	n	n	CCONJ
ejpam-2310	302	77	∑	∑	PROPN
ejpam-2310	302	78	i=1	i=1	PROPN
ejpam-2310	302	79	ln(1+λex	ln(1+λex	PROPN
ejpam-2310	302	80	pνi	pνi	NOUN
ejpam-2310	302	81	)	)	PUNCT
ejpam-2310	302	82	=	=	SYM
ejpam-2310	303	1	−	−	PROPN
ejpam-2310	303	2	n	n	PRON
ejpam-2310	303	3	δ	δ	PROPN
ejpam-2310	303	4	.	.	PUNCT
ejpam-2310	304	1	(	(	PUNCT
ejpam-2310	304	2	18	18	NUM
ejpam-2310	304	3	)	)	PUNCT
ejpam-2310	304	4	solving	solve	VERB
ejpam-2310	304	5	the	the	DET
ejpam-2310	304	6	non	non	ADJ
ejpam-2310	304	7	-	-	ADJ
ejpam-2310	304	8	linear	linear	ADJ
ejpam-2310	304	9	system	system	NOUN
ejpam-2310	304	10	of	of	ADP
ejpam-2310	304	11	equations	equation	NOUN
ejpam-2310	304	12	(	(	PUNCT
ejpam-2310	304	13	13)-(18	13)-(18	X
ejpam-2310	304	14	)	)	PUNCT
ejpam-2310	304	15	we	we	PRON
ejpam-2310	304	16	obtain	obtain	VERB
ejpam-2310	304	17	the	the	DET
ejpam-2310	304	18	maximum	maximum	ADJ
ejpam-2310	304	19	likelihood	likelihood	NOUN
ejpam-2310	304	20	estimate	estimate	NOUN
ejpam-2310	304	21	θ̂	θ̂	X
ejpam-2310	304	22	=	=	SYM
ejpam-2310	304	23	(	(	PUNCT
ejpam-2310	304	24	α̂	α̂	NOUN
ejpam-2310	304	25	,	,	PUNCT
ejpam-2310	304	26	γ̂	γ̂	PROPN
ejpam-2310	304	27	,	,	PUNCT
ejpam-2310	304	28	β̂	β̂	NUM
ejpam-2310	304	29	,	,	PUNCT
ejpam-2310	304	30	λ̂	λ̂	NOUN
ejpam-2310	304	31	,	,	PUNCT
ejpam-2310	304	32	δ̂	δ̂	NOUN
ejpam-2310	304	33	)	)	PUNCT
ejpam-2310	304	34	of	of	ADP
ejpam-2310	304	35	θ	θ	PROPN
ejpam-2310	304	36	.	.	PUNCT
ejpam-2310	305	1	under	under	ADP
ejpam-2310	305	2	certain	certain	ADJ
ejpam-2310	305	3	regularity	regularity	NOUN
ejpam-2310	305	4	conditions	condition	NOUN
ejpam-2310	305	5	,	,	PUNCT
ejpam-2310	305	6	p	p	NOUN
ejpam-2310	305	7	n(θ̂	n(θ̂	ADV
ejpam-2310	305	8	−	−	PROPN
ejpam-2310	305	9	θ	θ	NOUN
ejpam-2310	305	10	)	)	PUNCT
ejpam-2310	305	11	d−→	d−→	PROPN
ejpam-2310	305	12	normal(0	normal(0	NOUN
ejpam-2310	305	13	,	,	PUNCT
ejpam-2310	305	14	i−1(θ	i−1(θ	PROPN
ejpam-2310	305	15	)	)	PUNCT
ejpam-2310	305	16	)	)	PUNCT
ejpam-2310	306	1	(	(	PUNCT
ejpam-2310	306	2	here	here	ADV
ejpam-2310	306	3	d−→	d−→	PROPN
ejpam-2310	306	4	stands	stand	VERB
ejpam-2310	306	5	for	for	ADP
ejpam-2310	306	6	convergence	convergence	NOUN
ejpam-2310	306	7	in	in	ADP
ejpam-2310	306	8	distribution	distribution	NOUN
ejpam-2310	306	9	)	)	PUNCT
ejpam-2310	306	10	,	,	PUNCT
ejpam-2310	306	11	where	where	SCONJ
ejpam-2310	306	12	i(θ	i(θ	PRON
ejpam-2310	306	13	)	)	PUNCT
ejpam-2310	306	14	denotes	denote	VERB
ejpam-2310	306	15	the	the	DET
ejpam-2310	306	16	information	information	NOUN
ejpam-2310	306	17	matrix	matrix	NOUN
ejpam-2310	306	18	given	give	VERB
ejpam-2310	306	19	by	by	ADP
ejpam-2310	306	20	i(θ	i(θ	NOUN
ejpam-2310	306	21	)	)	PUNCT
ejpam-2310	307	1	=	=	PUNCT
ejpam-2310	307	2	e	e	X
ejpam-2310	307	3	�	�	PROPN
ejpam-2310	307	4	∂	∂	NUM
ejpam-2310	307	5	2l(θ	2l(θ	NUM
ejpam-2310	307	6	)	)	PUNCT
ejpam-2310	307	7	∂	∂	NUM
ejpam-2310	307	8	θ∂	θ∂	NOUN
ejpam-2310	307	9	θ	θ	NOUN
ejpam-2310	307	10	′	′	NUM
ejpam-2310	307	11	�	�	PROPN
ejpam-2310	307	12	.	.	PUNCT
ejpam-2310	308	1	(	(	PUNCT
ejpam-2310	308	2	19	19	NUM
ejpam-2310	308	3	)	)	PUNCT
ejpam-2310	308	4	this	this	DET
ejpam-2310	308	5	information	information	NOUN
ejpam-2310	308	6	matrix	matrix	NOUN
ejpam-2310	308	7	i(θ	i(θ	PROPN
ejpam-2310	308	8	)	)	PUNCT
ejpam-2310	308	9	may	may	AUX
ejpam-2310	308	10	be	be	AUX
ejpam-2310	308	11	approximated	approximate	VERB
ejpam-2310	308	12	by	by	ADP
ejpam-2310	308	13	the	the	DET
ejpam-2310	308	14	observed	observe	VERB
ejpam-2310	308	15	information	information	NOUN
ejpam-2310	308	16	matrix	matrix	NOUN
ejpam-2310	308	17	i(θ̂	i(θ̂	NOUN
ejpam-2310	308	18	)	)	PUNCT
ejpam-2310	309	1	=	=	PUNCT
ejpam-2310	309	2	e	e	X
ejpam-2310	309	3	�	�	PROPN
ejpam-2310	309	4	∂	∂	NUM
ejpam-2310	309	5	2l(θ	2l(θ	NUM
ejpam-2310	309	6	)	)	PUNCT
ejpam-2310	309	7	∂	∂	NUM
ejpam-2310	309	8	θ∂	θ∂	NOUN
ejpam-2310	309	9	θ	θ	NOUN
ejpam-2310	309	10	′	′	NUM
ejpam-2310	309	11	�	�	PROPN
ejpam-2310	309	12	θ	θ	X
ejpam-2310	309	13	=	=	NOUN
ejpam-2310	309	14	θ̂	θ̂	X
ejpam-2310	309	15	.	.	PUNCT
ejpam-2310	310	1	(	(	PUNCT
ejpam-2310	310	2	20	20	NUM
ejpam-2310	310	3	)	)	PUNCT
ejpam-2310	310	4	hence	hence	ADV
ejpam-2310	310	5	,	,	PUNCT
ejpam-2310	310	6	using	use	VERB
ejpam-2310	310	7	the	the	DET
ejpam-2310	310	8	approximation	approximation	NOUN
ejpam-2310	310	9	p	p	NOUN
ejpam-2310	310	10	n(θ̂	n(θ̂	ADJ
ejpam-2310	310	11	−θ	−θ	ADJ
ejpam-2310	310	12	)	)	PUNCT
ejpam-2310	310	13	∼	∼	NOUN
ejpam-2310	310	14	normal(0	normal(0	NOUN
ejpam-2310	310	15	,	,	PUNCT
ejpam-2310	310	16	i−1(θ̂	i−1(θ̂	NOUN
ejpam-2310	310	17	)	)	PUNCT
ejpam-2310	310	18	)	)	PUNCT
ejpam-2310	310	19	,	,	PUNCT
ejpam-2310	310	20	one	one	PRON
ejpam-2310	310	21	can	can	AUX
ejpam-2310	310	22	carry	carry	VERB
ejpam-2310	310	23	out	out	ADP
ejpam-2310	310	24	tests	test	NOUN
ejpam-2310	310	25	and	and	CCONJ
ejpam-2310	310	26	find	find	VERB
ejpam-2310	310	27	confidence	confidence	NOUN
ejpam-2310	310	28	regions	region	NOUN
ejpam-2310	310	29	for	for	ADP
ejpam-2310	310	30	functions	function	NOUN
ejpam-2310	310	31	of	of	ADP
ejpam-2310	310	32	some	some	PRON
ejpam-2310	310	33	or	or	CCONJ
ejpam-2310	310	34	all	all	PRON
ejpam-2310	310	35	of	of	ADP
ejpam-2310	310	36	the	the	DET
ejpam-2310	310	37	parameters	parameter	NOUN
ejpam-2310	310	38	in	in	ADP
ejpam-2310	310	39	θ	θ	PROPN
ejpam-2310	310	40	.	.	PUNCT
ejpam-2310	311	1	10	10	NUM
ejpam-2310	311	2	.	.	X
ejpam-2310	312	1	simulation	simulation	NOUN
ejpam-2310	312	2	study	study	VERB
ejpam-2310	312	3	a	a	DET
ejpam-2310	312	4	simulation	simulation	NOUN
ejpam-2310	312	5	study	study	NOUN
ejpam-2310	312	6	is	be	AUX
ejpam-2310	312	7	carried	carry	VERB
ejpam-2310	312	8	out	out	ADP
ejpam-2310	312	9	to	to	PART
ejpam-2310	312	10	investigate	investigate	VERB
ejpam-2310	312	11	the	the	DET
ejpam-2310	312	12	performance	performance	NOUN
ejpam-2310	312	13	of	of	ADP
ejpam-2310	312	14	the	the	DET
ejpam-2310	312	15	least	least	ADJ
ejpam-2310	312	16	square	square	ADJ
ejpam-2310	312	17	(	(	PUNCT
ejpam-2310	312	18	ls	ls	ADJ
ejpam-2310	312	19	)	)	PUNCT
ejpam-2310	312	20	estimators	estimator	NOUN
ejpam-2310	312	21	and	and	CCONJ
ejpam-2310	312	22	the	the	DET
ejpam-2310	312	23	ml	ml	NOUN
ejpam-2310	312	24	estimators	estimator	NOUN
ejpam-2310	312	25	.	.	PUNCT
ejpam-2310	313	1	we	we	PRON
ejpam-2310	313	2	take	take	VERB
ejpam-2310	313	3	sample	sample	NOUN
ejpam-2310	313	4	sizes	size	NOUN
ejpam-2310	313	5	to	to	PART
ejpam-2310	313	6	be	be	AUX
ejpam-2310	313	7	n	n	PRON
ejpam-2310	313	8	=	=	SYM
ejpam-2310	313	9	15,25,50,100,250,500	15,25,50,100,250,500	NUM
ejpam-2310	313	10	and	and	CCONJ
ejpam-2310	313	11	generate	generate	VERB
ejpam-2310	313	12	observations	observation	NOUN
ejpam-2310	313	13	from	from	ADP
ejpam-2310	313	14	a	a	DET
ejpam-2310	313	15	etmw	etmw	NOUN
ejpam-2310	313	16	distribution	distribution	NOUN
ejpam-2310	313	17	with	with	ADP
ejpam-2310	313	18	parameters	parameter	NOUN
ejpam-2310	313	19	α	α	X
ejpam-2310	313	20	=	=	SYM
ejpam-2310	313	21	1	1	NUM
ejpam-2310	313	22	,	,	PUNCT
ejpam-2310	313	23	γ	γ	NOUN
ejpam-2310	313	24	=	=	SYM
ejpam-2310	313	25	1	1	NUM
ejpam-2310	313	26	,	,	PUNCT
ejpam-2310	313	27	β	β	X
ejpam-2310	313	28	=	=	SYM
ejpam-2310	313	29	2.5	2.5	NUM
ejpam-2310	313	30	,	,	PUNCT
ejpam-2310	313	31	λ	λ	X
ejpam-2310	313	32	=	=	SYM
ejpam-2310	313	33	0.5	0.5	NUM
ejpam-2310	313	34	,	,	PUNCT
ejpam-2310	313	35	δ	δ	X
ejpam-2310	313	36	=	=	NOUN
ejpam-2310	313	37	0.75	0.75	NUM
ejpam-2310	313	38	.	.	PUNCT
ejpam-2310	314	1	for	for	ADP
ejpam-2310	314	2	each	each	DET
ejpam-2310	314	3	sample	sample	NOUN
ejpam-2310	314	4	we	we	PRON
ejpam-2310	314	5	compute	compute	VERB
ejpam-2310	314	6	the	the	DET
ejpam-2310	314	7	estimates	estimate	NOUN
ejpam-2310	314	8	of	of	ADP
ejpam-2310	314	9	the	the	DET
ejpam-2310	314	10	parameters	parameter	NOUN
ejpam-2310	314	11	using	use	VERB
ejpam-2310	314	12	the	the	DET
ejpam-2310	314	13	m.	m.	NOUN
ejpam-2310	314	14	pal	pal	NOUN
ejpam-2310	314	15	and	and	CCONJ
ejpam-2310	314	16	m.	m.	NOUN
ejpam-2310	314	17	tiensuwan	tiensuwan	PROPN
ejpam-2310	314	18	/	/	SYM
ejpam-2310	314	19	eur	eur	PROPN
ejpam-2310	314	20	.	.	PUNCT
ejpam-2310	315	1	j.	j.	PROPN
ejpam-2310	315	2	pure	pure	PROPN
ejpam-2310	315	3	appl	appl	PROPN
ejpam-2310	315	4	.	.	PROPN
ejpam-2310	315	5	math	math	PROPN
ejpam-2310	315	6	,	,	PUNCT
ejpam-2310	315	7	8	8	NUM
ejpam-2310	315	8	(	(	PUNCT
ejpam-2310	315	9	2015	2015	NUM
ejpam-2310	315	10	)	)	PUNCT
ejpam-2310	315	11	,	,	PUNCT
ejpam-2310	315	12	1	1	NUM
ejpam-2310	315	13	-	-	SYM
ejpam-2310	315	14	14	14	NUM
ejpam-2310	315	15	12	12	NUM
ejpam-2310	315	16	two	two	NUM
ejpam-2310	315	17	methods	method	NOUN
ejpam-2310	315	18	.	.	PUNCT
ejpam-2310	316	1	the	the	DET
ejpam-2310	316	2	process	process	NOUN
ejpam-2310	316	3	is	be	AUX
ejpam-2310	316	4	repeated	repeat	VERB
ejpam-2310	316	5	n	n	PROPN
ejpam-2310	316	6	=	=	SYM
ejpam-2310	316	7	1000	1000	NUM
ejpam-2310	316	8	times	time	NOUN
ejpam-2310	316	9	,	,	PUNCT
ejpam-2310	316	10	and	and	CCONJ
ejpam-2310	316	11	the	the	DET
ejpam-2310	316	12	average	average	ADJ
ejpam-2310	316	13	mean	mean	NOUN
ejpam-2310	316	14	squared	square	VERB
ejpam-2310	316	15	error	error	NOUN
ejpam-2310	316	16	is	be	AUX
ejpam-2310	316	17	computed	compute	VERB
ejpam-2310	316	18	as	as	SCONJ
ejpam-2310	316	19	follows	follow	VERB
ejpam-2310	316	20	:	:	PUNCT
ejpam-2310	316	21	amse(t	amse(t	NOUN
ejpam-2310	316	22	)	)	PUNCT
ejpam-2310	316	23	=	=	SYM
ejpam-2310	316	24	1	1	NUM
ejpam-2310	316	25	n	n	NUM
ejpam-2310	316	26	n	n	NOUN
ejpam-2310	316	27	∑	∑	ADV
ejpam-2310	316	28	i=1	i=1	PROPN
ejpam-2310	316	29	(	(	PUNCT
ejpam-2310	316	30	θ̂	θ̂	X
ejpam-2310	316	31	i(t	i(t	PROPN
ejpam-2310	316	32	)	)	PUNCT
ejpam-2310	316	33	−	−	PROPN
ejpam-2310	316	34	θ	θ	NOUN
ejpam-2310	316	35	)	)	PUNCT
ejpam-2310	316	36	′(θ̂	′(θ̂	PROPN
ejpam-2310	316	37	i(t	i(t	PROPN
ejpam-2310	316	38	)	)	PUNCT
ejpam-2310	316	39	−	−	PROPN
ejpam-2310	316	40	θ	θ	PROPN
ejpam-2310	316	41	)	)	PUNCT
ejpam-2310	316	42	,	,	PUNCT
ejpam-2310	316	43	(	(	PUNCT
ejpam-2310	316	44	21	21	NUM
ejpam-2310	316	45	)	)	PUNCT
ejpam-2310	316	46	where	where	SCONJ
ejpam-2310	316	47	t	t	PROPN
ejpam-2310	316	48	denotes	denote	VERB
ejpam-2310	316	49	the	the	DET
ejpam-2310	316	50	method	method	NOUN
ejpam-2310	316	51	used	use	VERB
ejpam-2310	316	52	to	to	PART
ejpam-2310	316	53	estimate	estimate	VERB
ejpam-2310	316	54	θ	θ	NOUN
ejpam-2310	316	55	=	=	SYM
ejpam-2310	316	56	(	(	PUNCT
ejpam-2310	316	57	α	α	X
ejpam-2310	316	58	,	,	PUNCT
ejpam-2310	316	59	γ	γ	X
ejpam-2310	316	60	,	,	PUNCT
ejpam-2310	316	61	β	β	X
ejpam-2310	316	62	,	,	PUNCT
ejpam-2310	316	63	λ	λ	PROPN
ejpam-2310	316	64	,	,	PUNCT
ejpam-2310	316	65	δ	δ	PROPN
ejpam-2310	316	66	)	)	PUNCT
ejpam-2310	316	67	,	,	PUNCT
ejpam-2310	316	68	i	i	PRON
ejpam-2310	316	69	denotes	denote	VERB
ejpam-2310	316	70	the	the	DET
ejpam-2310	316	71	sample	sample	NOUN
ejpam-2310	316	72	repetition	repetition	NOUN
ejpam-2310	316	73	number	number	NOUN
ejpam-2310	316	74	,	,	PUNCT
ejpam-2310	316	75	i	i	NOUN
ejpam-2310	316	76	=	=	NOUN
ejpam-2310	316	77	1,2	1,2	NUM
ejpam-2310	316	78	,	,	PUNCT
ejpam-2310	316	79	.	.	PUNCT
ejpam-2310	316	80	.	.	PUNCT
ejpam-2310	317	1	.	.	PUNCT
ejpam-2310	318	1	,	,	PUNCT
ejpam-2310	318	2	n	n	CCONJ
ejpam-2310	318	3	,	,	PUNCT
ejpam-2310	318	4	and	and	CCONJ
ejpam-2310	318	5	θ̂	θ̂	NUM
ejpam-2310	319	1	i(t	i(t	PROPN
ejpam-2310	319	2	)	)	PUNCT
ejpam-2310	319	3	is	be	AUX
ejpam-2310	319	4	the	the	DET
ejpam-2310	319	5	corresponding	correspond	VERB
ejpam-2310	319	6	estimate	estimate	NOUN
ejpam-2310	319	7	.	.	PUNCT
ejpam-2310	320	1	table	table	NOUN
ejpam-2310	320	2	1	1	NUM
ejpam-2310	320	3	gives	give	VERB
ejpam-2310	320	4	the	the	DET
ejpam-2310	320	5	amses	amse	NOUN
ejpam-2310	320	6	for	for	ADP
ejpam-2310	320	7	the	the	DET
ejpam-2310	320	8	two	two	NUM
ejpam-2310	320	9	methods	method	NOUN
ejpam-2310	320	10	of	of	ADP
ejpam-2310	320	11	estimation	estimation	NOUN
ejpam-2310	320	12	.	.	PUNCT
ejpam-2310	321	1	table	table	NOUN
ejpam-2310	321	2	1	1	NUM
ejpam-2310	321	3	:	:	PUNCT
ejpam-2310	322	1	average	average	ADJ
ejpam-2310	322	2	mean	mean	NOUN
ejpam-2310	322	3	squared	square	VERB
ejpam-2310	322	4	errors	error	NOUN
ejpam-2310	322	5	for	for	ADP
ejpam-2310	322	6	the	the	DET
ejpam-2310	322	7	method	method	NOUN
ejpam-2310	322	8	of	of	ADP
ejpam-2310	322	9	least	least	ADJ
ejpam-2310	322	10	squares	square	NOUN
ejpam-2310	322	11	and	and	CCONJ
ejpam-2310	322	12	maximum	maximum	ADJ
ejpam-2310	322	13	likelihood	likelihood	NOUN
ejpam-2310	322	14	method	method	NOUN
ejpam-2310	322	15	for	for	ADP
ejpam-2310	322	16	estimating	estimate	VERB
ejpam-2310	322	17	θ	θ	PROPN
ejpam-2310	322	18	sample	sample	NOUN
ejpam-2310	322	19	size	size	NOUN
ejpam-2310	322	20	amse(ls	amse(ls	NOUN
ejpam-2310	322	21	)	)	PUNCT
ejpam-2310	322	22	amse(ml	amse(ml	PROPN
ejpam-2310	322	23	)	)	PUNCT
ejpam-2310	322	24	10	10	NUM
ejpam-2310	322	25	3.2651	3.2651	NUM
ejpam-2310	322	26	0.9985	0.9985	NUM
ejpam-2310	322	27	15	15	NUM
ejpam-2310	322	28	1.4247	1.4247	NUM
ejpam-2310	322	29	0.4386	0.4386	NUM
ejpam-2310	322	30	25	25	NUM
ejpam-2310	322	31	0.8769	0.8769	NUM
ejpam-2310	322	32	0.1027	0.1027	NUM
ejpam-2310	322	33	50	50	NUM
ejpam-2310	322	34	0.4317	0.4317	NUM
ejpam-2310	322	35	0.0285	0.0285	NUM
ejpam-2310	322	36	100	100	NUM
ejpam-2310	322	37	0.0621	0.0621	NUM
ejpam-2310	322	38	0.0075	0.0075	NUM
ejpam-2310	322	39	250	250	NUM
ejpam-2310	322	40	0.0860	0.0860	NUM
ejpam-2310	322	41	0.0010	0.0010	NUM
ejpam-2310	322	42	100	100	NUM
ejpam-2310	322	43	0.0009	0.0009	NUM
ejpam-2310	322	44	0.0001	0.0001	NUM
ejpam-2310	322	45	the	the	DET
ejpam-2310	322	46	above	above	ADJ
ejpam-2310	322	47	table	table	NOUN
ejpam-2310	322	48	shows	show	VERB
ejpam-2310	322	49	that	that	SCONJ
ejpam-2310	322	50	as	as	SCONJ
ejpam-2310	322	51	the	the	DET
ejpam-2310	322	52	sample	sample	NOUN
ejpam-2310	322	53	size	size	NOUN
ejpam-2310	322	54	increases	increase	NOUN
ejpam-2310	322	55	,	,	PUNCT
ejpam-2310	322	56	the	the	DET
ejpam-2310	322	57	average	average	ADJ
ejpam-2310	322	58	mean	mean	NOUN
ejpam-2310	322	59	squared	square	VERB
ejpam-2310	322	60	errors	error	NOUN
ejpam-2310	322	61	decrease	decrease	VERB
ejpam-2310	322	62	.	.	PUNCT
ejpam-2310	323	1	this	this	DET
ejpam-2310	323	2	verifies	verifie	NOUN
ejpam-2310	323	3	the	the	DET
ejpam-2310	323	4	consistency	consistency	NOUN
ejpam-2310	323	5	properties	property	NOUN
ejpam-2310	323	6	of	of	ADP
ejpam-2310	323	7	the	the	DET
ejpam-2310	323	8	estimates	estimate	NOUN
ejpam-2310	323	9	.	.	PUNCT
ejpam-2310	324	1	further	far	ADV
ejpam-2310	324	2	,	,	PUNCT
ejpam-2310	324	3	for	for	ADP
ejpam-2310	324	4	each	each	DET
ejpam-2310	324	5	sample	sample	NOUN
ejpam-2310	324	6	size	size	NOUN
ejpam-2310	324	7	amse(ls	amse(ls	NOUN
ejpam-2310	324	8	)	)	PUNCT
ejpam-2310	324	9	>	>	X
ejpam-2310	324	10	amse(m	amse(m	PROPN
ejpam-2310	324	11	l	l	NOUN
ejpam-2310	324	12	)	)	PUNCT
ejpam-2310	324	13	.	.	PUNCT
ejpam-2310	325	1	thus	thus	ADV
ejpam-2310	325	2	,	,	PUNCT
ejpam-2310	325	3	we	we	PRON
ejpam-2310	325	4	may	may	AUX
ejpam-2310	325	5	conclude	conclude	VERB
ejpam-2310	325	6	that	that	SCONJ
ejpam-2310	325	7	the	the	DET
ejpam-2310	325	8	maximum	maximum	ADJ
ejpam-2310	325	9	likelihood	likelihood	NOUN
ejpam-2310	325	10	method	method	NOUN
ejpam-2310	325	11	provides	provide	VERB
ejpam-2310	325	12	better	well	ADJ
ejpam-2310	325	13	estimators	estimator	NOUN
ejpam-2310	325	14	than	than	ADP
ejpam-2310	325	15	the	the	DET
ejpam-2310	325	16	least	least	ADJ
ejpam-2310	325	17	square	square	ADJ
ejpam-2310	325	18	method	method	NOUN
ejpam-2310	325	19	.	.	PUNCT
ejpam-2310	326	1	however	however	ADV
ejpam-2310	326	2	,	,	PUNCT
ejpam-2310	326	3	the	the	DET
ejpam-2310	326	4	difference	difference	NOUN
ejpam-2310	326	5	between	between	ADP
ejpam-2310	326	6	amse(ls	amse(ls	NOUN
ejpam-2310	326	7	)	)	PUNCT
ejpam-2310	326	8	and	and	CCONJ
ejpam-2310	326	9	amse(m	amse(m	VERB
ejpam-2310	326	10	l	l	NOUN
ejpam-2310	326	11	)	)	PUNCT
ejpam-2310	326	12	decrease	decrease	NOUN
ejpam-2310	326	13	as	as	ADP
ejpam-2310	326	14	the	the	DET
ejpam-2310	326	15	sample	sample	NOUN
ejpam-2310	326	16	size	size	NOUN
ejpam-2310	326	17	increases	increase	NOUN
ejpam-2310	326	18	.	.	PUNCT
ejpam-2310	327	1	11	11	NUM
ejpam-2310	327	2	.	.	PUNCT
ejpam-2310	328	1	application	application	NOUN
ejpam-2310	328	2	of	of	ADP
ejpam-2310	328	3	the	the	DET
ejpam-2310	328	4	exponentiated	exponentiate	VERB
ejpam-2310	328	5	transmuted	transmute	VERB
ejpam-2310	328	6	modified	modified	ADJ
ejpam-2310	328	7	weibull	weibull	NOUN
ejpam-2310	328	8	distribution	distribution	NOUN
ejpam-2310	328	9	in	in	ADP
ejpam-2310	328	10	this	this	DET
ejpam-2310	328	11	section	section	NOUN
ejpam-2310	328	12	we	we	PRON
ejpam-2310	328	13	illustrate	illustrate	VERB
ejpam-2310	328	14	the	the	DET
ejpam-2310	328	15	usefulness	usefulness	NOUN
ejpam-2310	328	16	of	of	ADP
ejpam-2310	328	17	the	the	DET
ejpam-2310	328	18	exponentiated	exponentiate	VERB
ejpam-2310	328	19	transmuted	transmute	VERB
ejpam-2310	328	20	modified	modified	ADJ
ejpam-2310	328	21	weibull	weibull	NOUN
ejpam-2310	328	22	distribution	distribution	NOUN
ejpam-2310	328	23	for	for	ADP
ejpam-2310	328	24	modelling	model	VERB
ejpam-2310	328	25	real	real	ADJ
ejpam-2310	328	26	life	life	NOUN
ejpam-2310	328	27	data	datum	NOUN
ejpam-2310	328	28	.	.	PUNCT
ejpam-2310	329	1	the	the	DET
ejpam-2310	329	2	data	datum	NOUN
ejpam-2310	329	3	set	set	NOUN
ejpam-2310	329	4	relates	relate	VERB
ejpam-2310	329	5	to	to	ADP
ejpam-2310	329	6	the	the	DET
ejpam-2310	329	7	time	time	NOUN
ejpam-2310	329	8	-	-	PUNCT
ejpam-2310	329	9	to	to	ADP
ejpam-2310	329	10	-	-	PUNCT
ejpam-2310	329	11	failure	failure	NOUN
ejpam-2310	329	12	of	of	ADP
ejpam-2310	329	13	50	50	NUM
ejpam-2310	329	14	devices	device	NOUN
ejpam-2310	329	15	,	,	PUNCT
ejpam-2310	329	16	and	and	CCONJ
ejpam-2310	329	17	is	be	AUX
ejpam-2310	329	18	taken	take	VERB
ejpam-2310	329	19	from	from	ADP
ejpam-2310	329	20	aarset	aarset	NOUN
ejpam-2310	330	1	[	[	X
ejpam-2310	330	2	1	1	NUM
ejpam-2310	330	3	]	]	NUM
ejpam-2310	330	4	:	:	PUNCT
ejpam-2310	330	5	table	table	NOUN
ejpam-2310	330	6	2	2	NUM
ejpam-2310	330	7	:	:	PUNCT
ejpam-2310	330	8	the	the	DET
ejpam-2310	330	9	time	time	NOUN
ejpam-2310	330	10	-	-	PUNCT
ejpam-2310	330	11	to	to	ADP
ejpam-2310	330	12	-	-	PUNCT
ejpam-2310	330	13	failure	failure	NOUN
ejpam-2310	330	14	of	of	ADP
ejpam-2310	330	15	50	50	NUM
ejpam-2310	330	16	devices	device	NOUN
ejpam-2310	330	17	0.1	0.1	NUM
ejpam-2310	330	18	0.2	0.2	NUM
ejpam-2310	330	19	1	1	NUM
ejpam-2310	330	20	1	1	NUM
ejpam-2310	330	21	1	1	NUM
ejpam-2310	330	22	1	1	NUM
ejpam-2310	330	23	1	1	NUM
ejpam-2310	330	24	2	2	NUM
ejpam-2310	330	25	3	3	NUM
ejpam-2310	330	26	6	6	NUM
ejpam-2310	330	27	7	7	NUM
ejpam-2310	330	28	11	11	NUM
ejpam-2310	330	29	12	12	NUM
ejpam-2310	330	30	18	18	NUM
ejpam-2310	330	31	18	18	NUM
ejpam-2310	330	32	18	18	NUM
ejpam-2310	330	33	18	18	NUM
ejpam-2310	330	34	18	18	NUM
ejpam-2310	330	35	21	21	NUM
ejpam-2310	330	36	32	32	NUM
ejpam-2310	330	37	36	36	NUM
ejpam-2310	330	38	40	40	NUM
ejpam-2310	330	39	45	45	NUM
ejpam-2310	330	40	46	46	NUM
ejpam-2310	330	41	47	47	NUM
ejpam-2310	330	42	50	50	NUM
ejpam-2310	330	43	55	55	NUM
ejpam-2310	330	44	60	60	NUM
ejpam-2310	330	45	63	63	NUM
ejpam-2310	330	46	63	63	NUM
ejpam-2310	330	47	67	67	NUM
ejpam-2310	330	48	67	67	NUM
ejpam-2310	330	49	67	67	NUM
ejpam-2310	330	50	67	67	NUM
ejpam-2310	330	51	72	72	NUM
ejpam-2310	330	52	75	75	NUM
ejpam-2310	330	53	79	79	NUM
ejpam-2310	330	54	82	82	NUM
ejpam-2310	330	55	82	82	NUM
ejpam-2310	330	56	83	83	NUM
ejpam-2310	330	57	84	84	NUM
ejpam-2310	330	58	84	84	NUM
ejpam-2310	330	59	84	84	NUM
ejpam-2310	330	60	85	85	NUM
ejpam-2310	330	61	85	85	NUM
ejpam-2310	330	62	85	85	NUM
ejpam-2310	330	63	85	85	NUM
ejpam-2310	330	64	85	85	NUM
ejpam-2310	330	65	86	86	NUM
ejpam-2310	330	66	86	86	NUM
ejpam-2310	330	67	the	the	DET
ejpam-2310	330	68	weibull	weibull	PROPN
ejpam-2310	330	69	(	(	PUNCT
ejpam-2310	330	70	w	w	NOUN
ejpam-2310	330	71	)	)	PUNCT
ejpam-2310	330	72	,	,	PUNCT
ejpam-2310	330	73	modified	modify	VERB
ejpam-2310	330	74	weibull	weibull	NOUN
ejpam-2310	330	75	(	(	PUNCT
ejpam-2310	330	76	m	m	PROPN
ejpam-2310	330	77	)	)	PUNCT
ejpam-2310	330	78	,	,	PUNCT
ejpam-2310	330	79	transmuted	transmute	VERB
ejpam-2310	330	80	modified	modified	ADJ
ejpam-2310	330	81	weibull(t	weibull(t	NOUN
ejpam-2310	330	82	)	)	PUNCT
ejpam-2310	330	83	and	and	CCONJ
ejpam-2310	330	84	exponentiated	exponentiate	VERB
ejpam-2310	330	85	transmuted	transmute	VERB
ejpam-2310	330	86	modified	modified	ADJ
ejpam-2310	330	87	weibull	weibull	NOUN
ejpam-2310	330	88	(	(	PUNCT
ejpam-2310	330	89	e	e	NOUN
ejpam-2310	330	90	)	)	PUNCT
ejpam-2310	330	91	distributions	distribution	NOUN
ejpam-2310	330	92	are	be	AUX
ejpam-2310	330	93	fitted	fit	VERB
ejpam-2310	330	94	to	to	ADP
ejpam-2310	330	95	the	the	DET
ejpam-2310	330	96	data	datum	NOUN
ejpam-2310	330	97	and	and	CCONJ
ejpam-2310	330	98	the	the	DET
ejpam-2310	330	99	mles	mle	NOUN
ejpam-2310	330	100	of	of	ADP
ejpam-2310	330	101	the	the	DET
ejpam-2310	330	102	m.	m.	NOUN
ejpam-2310	330	103	pal	pal	NOUN
ejpam-2310	330	104	and	and	CCONJ
ejpam-2310	330	105	m.	m.	NOUN
ejpam-2310	330	106	tiensuwan	tiensuwan	PROPN
ejpam-2310	330	107	/	/	SYM
ejpam-2310	330	108	eur	eur	PROPN
ejpam-2310	330	109	.	.	PUNCT
ejpam-2310	331	1	j.	j.	PROPN
ejpam-2310	331	2	pure	pure	PROPN
ejpam-2310	331	3	appl	appl	PROPN
ejpam-2310	331	4	.	.	PROPN
ejpam-2310	331	5	math	math	PROPN
ejpam-2310	331	6	,	,	PUNCT
ejpam-2310	331	7	8	8	NUM
ejpam-2310	331	8	(	(	PUNCT
ejpam-2310	331	9	2015	2015	NUM
ejpam-2310	331	10	)	)	PUNCT
ejpam-2310	331	11	,	,	PUNCT
ejpam-2310	331	12	1	1	NUM
ejpam-2310	331	13	-	-	SYM
ejpam-2310	331	14	14	14	NUM
ejpam-2310	331	15	13	13	NUM
ejpam-2310	331	16	parameters	parameter	NOUN
ejpam-2310	331	17	are	be	AUX
ejpam-2310	331	18	given	give	VERB
ejpam-2310	331	19	in	in	ADP
ejpam-2310	331	20	table	table	NOUN
ejpam-2310	331	21	3	3	NUM
ejpam-2310	331	22	.	.	PUNCT
ejpam-2310	332	1	the	the	DET
ejpam-2310	332	2	values	value	NOUN
ejpam-2310	332	3	of	of	ADP
ejpam-2310	332	4	the	the	DET
ejpam-2310	332	5	log	log	NOUN
ejpam-2310	332	6	-	-	PUNCT
ejpam-2310	332	7	likelihood	likelihood	NOUN
ejpam-2310	332	8	,	,	PUNCT
ejpam-2310	332	9	kolmogorov	kolmogorov	ADJ
ejpam-2310	332	10	-	-	PUNCT
ejpam-2310	332	11	smirnov	smirnov	ADJ
ejpam-2310	332	12	statistic	statistic	NOUN
ejpam-2310	332	13	(	(	PUNCT
ejpam-2310	332	14	k	k	NOUN
ejpam-2310	332	15	-	-	PUNCT
ejpam-2310	332	16	s	s	NOUN
ejpam-2310	332	17	)	)	PUNCT
ejpam-2310	332	18	,	,	PUNCT
ejpam-2310	332	19	akaike	akaike	ADP
ejpam-2310	332	20	information	information	NOUN
ejpam-2310	332	21	criterion	criterion	NOUN
ejpam-2310	332	22	(	(	PUNCT
ejpam-2310	332	23	aic	aic	PROPN
ejpam-2310	332	24	)	)	PUNCT
ejpam-2310	332	25	and	and	CCONJ
ejpam-2310	332	26	bayesian	bayesian	NOUN
ejpam-2310	332	27	information	information	NOUN
ejpam-2310	332	28	criterion	criterion	NOUN
ejpam-2310	332	29	(	(	PUNCT
ejpam-2310	332	30	bic	bic	PROPN
ejpam-2310	332	31	)	)	PUNCT
ejpam-2310	332	32	for	for	ADP
ejpam-2310	332	33	the	the	DET
ejpam-2310	332	34	different	different	ADJ
ejpam-2310	332	35	fitted	fit	VERB
ejpam-2310	332	36	distributions	distribution	NOUN
ejpam-2310	332	37	are	be	AUX
ejpam-2310	332	38	also	also	ADV
ejpam-2310	332	39	given	give	VERB
ejpam-2310	332	40	,	,	PUNCT
ejpam-2310	332	41	and	and	CCONJ
ejpam-2310	332	42	show	show	VERB
ejpam-2310	332	43	that	that	SCONJ
ejpam-2310	332	44	the	the	DET
ejpam-2310	332	45	etmw	etmw	NOUN
ejpam-2310	332	46	distribution	distribution	NOUN
ejpam-2310	332	47	gives	give	VERB
ejpam-2310	332	48	a	a	DET
ejpam-2310	332	49	better	well	ADJ
ejpam-2310	332	50	fit	fit	ADJ
ejpam-2310	332	51	than	than	ADP
ejpam-2310	332	52	the	the	DET
ejpam-2310	332	53	others	other	NOUN
ejpam-2310	332	54	.	.	PUNCT
ejpam-2310	333	1	the	the	DET
ejpam-2310	333	2	same	same	ADJ
ejpam-2310	333	3	is	be	AUX
ejpam-2310	333	4	also	also	ADV
ejpam-2310	333	5	evident	evident	ADJ
ejpam-2310	333	6	from	from	ADP
ejpam-2310	333	7	figure	figure	NOUN
ejpam-2310	333	8	2	2	NUM
ejpam-2310	333	9	,	,	PUNCT
ejpam-2310	333	10	which	which	PRON
ejpam-2310	333	11	compares	compare	VERB
ejpam-2310	333	12	the	the	DET
ejpam-2310	333	13	cumulative	cumulative	ADJ
ejpam-2310	333	14	distribution	distribution	NOUN
ejpam-2310	333	15	curves	curve	NOUN
ejpam-2310	333	16	of	of	ADP
ejpam-2310	333	17	the	the	DET
ejpam-2310	333	18	fitted	fit	VERB
ejpam-2310	333	19	distributions	distribution	NOUN
ejpam-2310	333	20	with	with	ADP
ejpam-2310	333	21	that	that	PRON
ejpam-2310	333	22	of	of	ADP
ejpam-2310	333	23	the	the	DET
ejpam-2310	333	24	empirical	empirical	ADJ
ejpam-2310	333	25	distribution	distribution	NOUN
ejpam-2310	333	26	.	.	PUNCT
ejpam-2310	334	1	table	table	NOUN
ejpam-2310	334	2	3	3	NUM
ejpam-2310	334	3	:	:	PUNCT
ejpam-2310	334	4	the	the	DET
ejpam-2310	334	5	estimated	estimate	VERB
ejpam-2310	334	6	parameters	parameter	NOUN
ejpam-2310	334	7	and	and	CCONJ
ejpam-2310	334	8	the	the	DET
ejpam-2310	334	9	log	log	NOUN
ejpam-2310	334	10	-	-	PUNCT
ejpam-2310	334	11	likelihood	likelihood	NOUN
ejpam-2310	334	12	,	,	PUNCT
ejpam-2310	334	13	k	k	PROPN
ejpam-2310	334	14	-	-	PUNCT
ejpam-2310	334	15	s	s	PROPN
ejpam-2310	334	16	,	,	PUNCT
ejpam-2310	334	17	aic	aic	PROPN
ejpam-2310	334	18	,	,	PUNCT
ejpam-2310	334	19	bic	bic	PROPN
ejpam-2310	334	20	values	value	NOUN
ejpam-2310	334	21	for	for	ADP
ejpam-2310	334	22	the	the	DET
ejpam-2310	334	23	different	different	ADJ
ejpam-2310	334	24	fitted	fit	VERB
ejpam-2310	334	25	distributions	distribution	NOUN
ejpam-2310	334	26	α	α	X
ejpam-2310	334	27	γ	γ	X
ejpam-2310	334	28	β	β	X
ejpam-2310	334	29	λ	λ	X
ejpam-2310	334	30	δ	δ	PROPN
ejpam-2310	334	31	-l(θ	-l(θ	PROPN
ejpam-2310	334	32	)	)	PUNCT
ejpam-2310	335	1	k	k	PROPN
ejpam-2310	335	2	-	-	PUNCT
ejpam-2310	335	3	s	s	PART
ejpam-2310	335	4	aic	aic	PROPN
ejpam-2310	335	5	bic	bic	PROPN
ejpam-2310	335	6	w	w	PROPN
ejpam-2310	335	7	0	0	NUM
ejpam-2310	335	8	0.0268	0.0268	NUM
ejpam-2310	335	9	0.9499	0.9499	NUM
ejpam-2310	335	10	0	0	NUM
ejpam-2310	335	11	1	1	NUM
ejpam-2310	335	12	241.002	241.002	NUM
ejpam-2310	335	13	0.0750	0.0750	NUM
ejpam-2310	335	14	486.004	486.004	NUM
ejpam-2310	335	15	489.8280	489.8280	NUM
ejpam-2310	335	16	m	m	NOUN
ejpam-2310	335	17	0.012	0.012	NUM
ejpam-2310	335	18	2.159×10−8	2.159×10−8	NUM
ejpam-2310	335	19	4.014	4.014	NUM
ejpam-2310	335	20	0	0	NUM
ejpam-2310	335	21	1	1	NUM
ejpam-2310	335	22	230.15	230.15	NUM
ejpam-2310	335	23	0.0739	0.0739	NUM
ejpam-2310	335	24	466.30	466.30	NUM
ejpam-2310	335	25	472.0361	472.0361	NUM
ejpam-2310	335	26	t	t	PROPN
ejpam-2310	335	27	0.0122	0.0122	NUM
ejpam-2310	335	28	1.0006×10−8	1.0006×10−8	NUM
ejpam-2310	335	29	4.1924	4.1924	NUM
ejpam-2310	335	30	0.0747	0.0747	NUM
ejpam-2310	335	31	1	1	NUM
ejpam-2310	335	32	229.06	229.06	NUM
ejpam-2310	335	33	0.0730	0.0730	NUM
ejpam-2310	335	34	466.12	466.12	NUM
ejpam-2310	335	35	473.7681	473.7681	NUM
ejpam-2310	335	36	e	e	NOUN
ejpam-2310	335	37	0.0056	0.0056	NUM
ejpam-2310	335	38	8.96×10−9	8.96×10−9	NUM
ejpam-2310	335	39	4.2448	4.2448	NUM
ejpam-2310	335	40	-0.4706	-0.4706	NOUN
ejpam-2310	336	1	0.4553	0.4553	NUM
ejpam-2310	336	2	222.61	222.61	NUM
ejpam-2310	336	3	0.0655	0.0655	NUM
ejpam-2310	336	4	455.22	455.22	NUM
ejpam-2310	336	5	464.7801	464.7801	NUM
ejpam-2310	336	6	figure	figure	NOUN
ejpam-2310	336	7	2	2	NUM
ejpam-2310	336	8	:	:	PUNCT
ejpam-2310	336	9	comparison	comparison	NOUN
ejpam-2310	336	10	of	of	ADP
ejpam-2310	336	11	the	the	DET
ejpam-2310	336	12	cdfs	cdfs	PROPN
ejpam-2310	336	13	of	of	ADP
ejpam-2310	336	14	the	the	DET
ejpam-2310	336	15	fitted	fit	VERB
ejpam-2310	336	16	distributions	distribution	NOUN
ejpam-2310	336	17	with	with	ADP
ejpam-2310	336	18	the	the	DET
ejpam-2310	336	19	empirical	empirical	ADJ
ejpam-2310	336	20	cdf	cdf	PROPN
ejpam-2310	336	21	12	12	NUM
ejpam-2310	336	22	.	.	PUNCT
ejpam-2310	337	1	discussion	discussion	NOUN
ejpam-2310	337	2	in	in	ADP
ejpam-2310	337	3	this	this	DET
ejpam-2310	337	4	paper	paper	NOUN
ejpam-2310	337	5	,	,	PUNCT
ejpam-2310	337	6	we	we	PRON
ejpam-2310	337	7	introduce	introduce	VERB
ejpam-2310	337	8	a	a	DET
ejpam-2310	337	9	new	new	ADJ
ejpam-2310	337	10	generalization	generalization	NOUN
ejpam-2310	337	11	of	of	ADP
ejpam-2310	337	12	the	the	DET
ejpam-2310	337	13	weibull	weibull	PROPN
ejpam-2310	337	14	distribution	distribution	NOUN
ejpam-2310	337	15	called	call	VERB
ejpam-2310	337	16	exponentiated	exponentiated	ADJ
ejpam-2310	337	17	transmuted	transmute	VERB
ejpam-2310	337	18	modified	modified	ADJ
ejpam-2310	337	19	weibull	weibull	NOUN
ejpam-2310	337	20	distribution	distribution	NOUN
ejpam-2310	337	21	and	and	CCONJ
ejpam-2310	337	22	discuss	discuss	VERB
ejpam-2310	337	23	its	its	PRON
ejpam-2310	337	24	intrinsic	intrinsic	ADJ
ejpam-2310	337	25	properties	property	NOUN
ejpam-2310	337	26	.	.	PUNCT
ejpam-2310	338	1	the	the	DET
ejpam-2310	338	2	distribution	distribution	NOUN
ejpam-2310	338	3	is	be	AUX
ejpam-2310	338	4	very	very	ADV
ejpam-2310	338	5	flexible	flexible	ADJ
ejpam-2310	338	6	in	in	ADP
ejpam-2310	338	7	the	the	DET
ejpam-2310	338	8	sense	sense	NOUN
ejpam-2310	338	9	that	that	SCONJ
ejpam-2310	338	10	it	it	PRON
ejpam-2310	338	11	exhibits	exhibit	VERB
ejpam-2310	338	12	both	both	PRON
ejpam-2310	338	13	increasing	increase	VERB
ejpam-2310	338	14	and	and	CCONJ
ejpam-2310	338	15	decreasing	decrease	VERB
ejpam-2310	338	16	failure	failure	NOUN
ejpam-2310	338	17	rates	rate	NOUN
ejpam-2310	338	18	depending	depend	VERB
ejpam-2310	338	19	on	on	ADP
ejpam-2310	338	20	its	its	PRON
ejpam-2310	338	21	parameters	parameter	NOUN
ejpam-2310	338	22	.	.	PUNCT
ejpam-2310	339	1	acknowledgements	acknowledgement	NOUN
ejpam-2310	339	2	the	the	DET
ejpam-2310	339	3	authors	author	NOUN
ejpam-2310	339	4	thank	thank	VERB
ejpam-2310	339	5	the	the	DET
ejpam-2310	339	6	anonymous	anonymous	ADJ
ejpam-2310	339	7	referees	referee	NOUN
ejpam-2310	339	8	for	for	ADP
ejpam-2310	339	9	their	their	PRON
ejpam-2310	339	10	fruitful	fruitful	ADJ
ejpam-2310	339	11	suggestions	suggestion	NOUN
ejpam-2310	339	12	,	,	PUNCT
ejpam-2310	339	13	which	which	PRON
ejpam-2310	339	14	immensely	immensely	ADV
ejpam-2310	339	15	helped	help	VERB
ejpam-2310	339	16	to	to	PART
ejpam-2310	339	17	improve	improve	VERB
ejpam-2310	339	18	the	the	DET
ejpam-2310	339	19	presentation	presentation	NOUN
ejpam-2310	339	20	of	of	ADP
ejpam-2310	339	21	the	the	DET
ejpam-2310	339	22	paper	paper	NOUN
ejpam-2310	339	23	.	.	PUNCT
ejpam-2310	340	1	references	reference	NOUN
ejpam-2310	340	2	14	14	NUM
ejpam-2310	340	3	references	reference	NOUN
ejpam-2310	340	4	[	[	X
ejpam-2310	340	5	1	1	NUM
ejpam-2310	340	6	]	]	PUNCT
ejpam-2310	340	7	m.	m.	NOUN
ejpam-2310	340	8	v.	v.	ADP
ejpam-2310	340	9	aarset	aarset	NOUN
ejpam-2310	340	10	.	.	PUNCT
ejpam-2310	341	1	how	how	SCONJ
ejpam-2310	341	2	to	to	PART
ejpam-2310	341	3	identify	identify	VERB
ejpam-2310	341	4	bathtub	bathtub	PROPN
ejpam-2310	341	5	hazard	hazard	NOUN
ejpam-2310	341	6	rate	rate	NOUN
ejpam-2310	341	7	.	.	PUNCT
ejpam-2310	342	1	ieee	ieee	NOUN
ejpam-2310	342	2	tranactions	tranaction	NOUN
ejpam-2310	342	3	on	on	ADP
ejpam-2310	342	4	reliability	reliability	NOUN
ejpam-2310	342	5	,	,	PUNCT
ejpam-2310	342	6	36(1	36(1	NUM
ejpam-2310	342	7	):	):	PUNCT
ejpam-2310	342	8	106	106	NUM
ejpam-2310	342	9	-	-	SYM
ejpam-2310	342	10	108	108	NUM
ejpam-2310	342	11	,	,	PUNCT
ejpam-2310	342	12	1987	1987	NUM
ejpam-2310	342	13	.	.	PUNCT
ejpam-2310	343	1	[	[	X
ejpam-2310	343	2	2	2	X
ejpam-2310	343	3	]	]	X
ejpam-2310	343	4	g.	g.	PROPN
ejpam-2310	343	5	r.	r.	PROPN
ejpam-2310	343	6	aryall	aryall	PROPN
ejpam-2310	343	7	and	and	CCONJ
ejpam-2310	343	8	c.	c.	PROPN
ejpam-2310	343	9	p.	p.	PROPN
ejpam-2310	343	10	tsokos	tsokos	PROPN
ejpam-2310	343	11	.	.	PUNCT
ejpam-2310	344	1	transmuted	transmute	VERB
ejpam-2310	344	2	weibull	weibull	NOUN
ejpam-2310	344	3	distribution	distribution	NOUN
ejpam-2310	344	4	:	:	PUNCT
ejpam-2310	344	5	a	a	DET
ejpam-2310	344	6	generalization	generalization	NOUN
ejpam-2310	344	7	of	of	ADP
ejpam-2310	344	8	the	the	DET
ejpam-2310	344	9	weibull	weibull	NOUN
ejpam-2310	344	10	probability	probability	NOUN
ejpam-2310	344	11	distribution	distribution	NOUN
ejpam-2310	344	12	.	.	PUNCT
ejpam-2310	345	1	european	european	ADJ
ejpam-2310	345	2	journal	journal	PROPN
ejpam-2310	345	3	of	of	ADP
ejpam-2310	345	4	pure	pure	ADJ
ejpam-2310	345	5	and	and	CCONJ
ejpam-2310	345	6	applied	applied	ADJ
ejpam-2310	345	7	mathematics	mathematic	NOUN
ejpam-2310	345	8	,	,	PUNCT
ejpam-2310	345	9	4(2	4(2	NUM
ejpam-2310	345	10	):	):	PUNCT
ejpam-2310	345	11	89	89	NUM
ejpam-2310	345	12	-	-	SYM
ejpam-2310	345	13	102	102	NUM
ejpam-2310	345	14	,	,	PUNCT
ejpam-2310	345	15	2011	2011	NUM
ejpam-2310	345	16	.	.	PUNCT
ejpam-2310	346	1	[	[	X
ejpam-2310	346	2	3	3	X
ejpam-2310	346	3	]	]	X
ejpam-2310	346	4	s.k	s.k	PROPN
ejpam-2310	346	5	.	.	PROPN
ejpam-2310	346	6	ashour	ashour	PROPN
ejpam-2310	346	7	and	and	CCONJ
ejpam-2310	346	8	m.a	m.a	PROPN
ejpam-2310	346	9	.	.	PROPN
ejpam-2310	346	10	eltehiwy	eltehiwy	PROPN
ejpam-2310	346	11	.	.	PUNCT
ejpam-2310	347	1	transmuted	transmute	VERB
ejpam-2310	347	2	exponentiated	exponentiated	ADJ
ejpam-2310	347	3	modified	modify	VERB
ejpam-2310	347	4	weibull	weibull	NOUN
ejpam-2310	347	5	distribution	distribution	NOUN
ejpam-2310	347	6	,	,	PUNCT
ejpam-2310	347	7	international	international	ADJ
ejpam-2310	347	8	journal	journal	NOUN
ejpam-2310	347	9	of	of	ADP
ejpam-2310	347	10	basic	basic	ADJ
ejpam-2310	347	11	and	and	CCONJ
ejpam-2310	347	12	applied	applied	ADJ
ejpam-2310	347	13	sciences	science	NOUN
ejpam-2310	347	14	,	,	PUNCT
ejpam-2310	347	15	2	2	NUM
ejpam-2310	347	16	(	(	PUNCT
ejpam-2310	347	17	3	3	NUM
ejpam-2310	347	18	)	)	SYM
ejpam-2310	347	19	258	258	NUM
ejpam-2310	347	20	-	-	SYM
ejpam-2310	347	21	269	269	NUM
ejpam-2310	347	22	.	.	PUNCT
ejpam-2310	347	23	2013	2013	NUM
ejpam-2310	347	24	.	.	PUNCT
ejpam-2310	348	1	[	[	X
ejpam-2310	348	2	4	4	NUM
ejpam-2310	348	3	]	]	X
ejpam-2310	348	4	a.e	a.e	PROPN
ejpam-2310	348	5	.	.	PROPN
ejpam-2310	348	6	hady	hady	PROPN
ejpam-2310	348	7	and	and	CCONJ
ejpam-2310	348	8	n.	n.	PROPN
ejpam-2310	348	9	ebraheim	ebraheim	PROPN
ejpam-2310	348	10	.	.	PUNCT
ejpam-2310	349	1	exponentiated	exponentiate	VERB
ejpam-2310	349	2	transmuted	transmute	VERB
ejpam-2310	349	3	weibull	weibull	NOUN
ejpam-2310	349	4	distribution	distribution	NOUN
ejpam-2310	349	5	:	:	PUNCT
ejpam-2310	349	6	a	a	DET
ejpam-2310	349	7	generalization	generalization	NOUN
ejpam-2310	349	8	of	of	ADP
ejpam-2310	349	9	the	the	DET
ejpam-2310	349	10	weibull	weibull	PROPN
ejpam-2310	349	11	distribution	distribution	NOUN
ejpam-2310	349	12	.	.	PUNCT
ejpam-2310	350	1	international	international	ADJ
ejpam-2310	350	2	journal	journal	PROPN
ejpam-2310	350	3	of	of	ADP
ejpam-2310	350	4	mathematical	mathematical	ADJ
ejpam-2310	350	5	,	,	PUNCT
ejpam-2310	350	6	computational	computational	ADJ
ejpam-2310	350	7	,	,	PUNCT
ejpam-2310	350	8	physical	physical	ADJ
ejpam-2310	350	9	,	,	PUNCT
ejpam-2310	350	10	nuclear	nuclear	ADJ
ejpam-2310	350	11	science	science	NOUN
ejpam-2310	350	12	and	and	CCONJ
ejpam-2310	350	13	engineering	engineering	NOUN
ejpam-2310	350	14	,	,	PUNCT
ejpam-2310	350	15	8(6	8(6	NUM
ejpam-2310	350	16	):	):	PUNCT
ejpam-2310	350	17	792	792	NUM
ejpam-2310	350	18	-	-	SYM
ejpam-2310	350	19	800	800	NUM
ejpam-2310	350	20	,	,	PUNCT
ejpam-2310	350	21	2014	2014	NUM
ejpam-2310	350	22	.	.	PUNCT
ejpam-2310	351	1	[	[	X
ejpam-2310	351	2	5	5	NUM
ejpam-2310	351	3	]	]	X
ejpam-2310	351	4	j.r.m	j.r.m	PROPN
ejpam-2310	351	5	.	.	PUNCT
ejpam-2310	351	6	hosking	hosking	PROPN
ejpam-2310	351	7	.	.	PUNCT
ejpam-2310	352	1	l	l	NOUN
ejpam-2310	352	2	-	-	NOUN
ejpam-2310	352	3	moments	moment	NOUN
ejpam-2310	352	4	:	:	PUNCT
ejpam-2310	352	5	analysis	analysis	NOUN
ejpam-2310	352	6	and	and	CCONJ
ejpam-2310	352	7	estimation	estimation	NOUN
ejpam-2310	352	8	of	of	ADP
ejpam-2310	352	9	distributions	distribution	NOUN
ejpam-2310	352	10	using	use	VERB
ejpam-2310	352	11	linear	linear	ADJ
ejpam-2310	352	12	combinations	combination	NOUN
ejpam-2310	352	13	of	of	ADP
ejpam-2310	352	14	order	order	NOUN
ejpam-2310	352	15	statistics	statistic	NOUN
ejpam-2310	352	16	.	.	PUNCT
ejpam-2310	353	1	journal	journal	NOUN
ejpam-2310	353	2	of	of	ADP
ejpam-2310	353	3	the	the	DET
ejpam-2310	353	4	royal	royal	ADJ
ejpam-2310	353	5	statistical	statistical	ADJ
ejpam-2310	353	6	society	society	NOUN
ejpam-2310	353	7	:	:	PUNCT
ejpam-2310	353	8	series	series	PROPN
ejpam-2310	353	9	b	b	PROPN
ejpam-2310	353	10	,	,	PUNCT
ejpam-2310	353	11	52(1	52(1	NOUN
ejpam-2310	353	12	):	):	PUNCT
ejpam-2310	353	13	105124	105124	NUM
ejpam-2310	353	14	,	,	PUNCT
ejpam-2310	353	15	1990	1990	NUM
ejpam-2310	353	16	.	.	PUNCT
ejpam-2310	354	1	[	[	X
ejpam-2310	354	2	6	6	NUM
ejpam-2310	354	3	]	]	X
ejpam-2310	354	4	m.s	m.s	PROPN
ejpam-2310	354	5	.	.	PROPN
ejpam-2310	354	6	khan	khan	PROPN
ejpam-2310	354	7	and	and	CCONJ
ejpam-2310	354	8	r.	r.	PROPN
ejpam-2310	354	9	king	king	PROPN
ejpam-2310	354	10	.	.	PUNCT
ejpam-2310	355	1	transmuted	transmute	VERB
ejpam-2310	355	2	modified	modified	ADJ
ejpam-2310	355	3	weibull	weibull	NOUN
ejpam-2310	355	4	distribution	distribution	NOUN
ejpam-2310	355	5	:	:	PUNCT
ejpam-2310	355	6	a	a	DET
ejpam-2310	355	7	generalization	generalization	NOUN
ejpam-2310	355	8	of	of	ADP
ejpam-2310	355	9	the	the	DET
ejpam-2310	355	10	modified	modify	VERB
ejpam-2310	355	11	weibull	weibull	NOUN
ejpam-2310	355	12	probability	probability	NOUN
ejpam-2310	355	13	distribution	distribution	NOUN
ejpam-2310	355	14	.	.	PUNCT
ejpam-2310	356	1	european	european	ADJ
ejpam-2310	356	2	journal	journal	PROPN
ejpam-2310	356	3	of	of	ADP
ejpam-2310	356	4	pure	pure	ADJ
ejpam-2310	356	5	and	and	CCONJ
ejpam-2310	356	6	applied	applied	ADJ
ejpam-2310	356	7	mathematics	mathematic	NOUN
ejpam-2310	356	8	,	,	PUNCT
ejpam-2310	356	9	6(1	6(1	NUM
ejpam-2310	356	10	):	):	PUNCT
ejpam-2310	356	11	66	66	NUM
ejpam-2310	356	12	-	-	SYM
ejpam-2310	356	13	88	88	NUM
ejpam-2310	356	14	,	,	PUNCT
ejpam-2310	356	15	2013	2013	NUM
ejpam-2310	356	16	.	.	PUNCT
ejpam-2310	357	1	[	[	X
ejpam-2310	357	2	7	7	X
ejpam-2310	357	3	]	]	X
ejpam-2310	357	4	m.	m.	NOUN
ejpam-2310	357	5	pal	pal	NOUN
ejpam-2310	357	6	,	,	PUNCT
ejpam-2310	357	7	and	and	CCONJ
ejpam-2310	357	8	m.	m.	NOUN
ejpam-2310	357	9	tiensuwan	tiensuwan	NOUN
ejpam-2310	357	10	.	.	PUNCT
ejpam-2310	358	1	beta	beta	ADJ
ejpam-2310	358	2	transmuted	transmute	VERB
ejpam-2310	358	3	weibull	weibull	NOUN
ejpam-2310	358	4	distribution	distribution	NOUN
ejpam-2310	358	5	.	.	PUNCT
ejpam-2310	359	1	austrian	austrian	ADJ
ejpam-2310	359	2	journal	journal	PROPN
ejpam-2310	359	3	of	of	ADP
ejpam-2310	359	4	statistics	statistic	NOUN
ejpam-2310	359	5	,	,	PUNCT
ejpam-2310	359	6	43(2	43(2	NUM
ejpam-2310	359	7	):	):	PUNCT
ejpam-2310	359	8	133	133	NUM
ejpam-2310	359	9	-	-	SYM
ejpam-2310	359	10	149	149	NUM
ejpam-2310	359	11	,	,	PUNCT
ejpam-2310	359	12	2014	2014	NUM
ejpam-2310	359	13	.	.	PUNCT
ejpam-2310	360	1	[	[	X
ejpam-2310	360	2	8	8	NUM
ejpam-2310	360	3	]	]	PUNCT
ejpam-2310	360	4	a.m.	a.m.	ADV
ejpam-2310	360	5	sarhan	sarhan	ADV
ejpam-2310	360	6	and	and	CCONJ
ejpam-2310	360	7	m.	m.	NOUN
ejpam-2310	360	8	zaindin	zaindin	NOUN
ejpam-2310	360	9	.	.	PUNCT
ejpam-2310	361	1	modified	modify	VERB
ejpam-2310	361	2	weibull	weibull	PROPN
ejpam-2310	361	3	distribution	distribution	NOUN
ejpam-2310	361	4	,	,	PUNCT
ejpam-2310	361	5	applied	apply	VERB
ejpam-2310	361	6	sciences	science	NOUN
ejpam-2310	361	7	,	,	PUNCT
ejpam-2310	361	8	11	11	NUM
ejpam-2310	361	9	:	:	SYM
ejpam-2310	361	10	123136	123136	NUM
ejpam-2310	361	11	,	,	PUNCT
ejpam-2310	361	12	2009	2009	NUM
ejpam-2310	361	13	.	.	PUNCT