id	sid	tid	token	lemma	pos
ejpam-4420	1	1	european	european	PROPN
ejpam-4420	1	2	journal	journal	PROPN
ejpam-4420	1	3	of	of	ADP
ejpam-4420	1	4	pure	pure	ADJ
ejpam-4420	1	5	and	and	CCONJ
ejpam-4420	1	6	applied	apply	VERB
ejpam-4420	1	7	mathematics	mathematic	NOUN
ejpam-4420	1	8	vol	vol	NOUN
ejpam-4420	1	9	.	.	PROPN
ejpam-4420	2	1	15	15	NUM
ejpam-4420	2	2	,	,	PUNCT
ejpam-4420	2	3	no	no	INTJ
ejpam-4420	2	4	.	.	NOUN
ejpam-4420	2	5	3	3	NUM
ejpam-4420	2	6	,	,	PUNCT
ejpam-4420	2	7	2022	2022	NUM
ejpam-4420	2	8	,	,	PUNCT
ejpam-4420	2	9	1280	1280	NUM
ejpam-4420	2	10	-	-	SYM
ejpam-4420	2	11	1300	1300	NUM
ejpam-4420	2	12	issn	issn	PROPN
ejpam-4420	2	13	1307	1307	NUM
ejpam-4420	2	14	-	-	SYM
ejpam-4420	2	15	5543	5543	NUM
ejpam-4420	2	16	–	–	PUNCT
ejpam-4420	2	17	ejpam.com	ejpam.com	X
ejpam-4420	2	18	published	publish	VERB
ejpam-4420	2	19	by	by	ADP
ejpam-4420	2	20	new	new	PROPN
ejpam-4420	2	21	york	york	PROPN
ejpam-4420	2	22	business	business	PROPN
ejpam-4420	2	23	global	global	PROPN
ejpam-4420	2	24	a	a	DET
ejpam-4420	2	25	new	new	ADJ
ejpam-4420	2	26	sushila	sushila	NOUN
ejpam-4420	2	27	distribution	distribution	NOUN
ejpam-4420	2	28	:	:	PUNCT
ejpam-4420	2	29	properties	property	NOUN
ejpam-4420	2	30	and	and	CCONJ
ejpam-4420	2	31	applications	application	NOUN
ejpam-4420	2	32	somchit	somchit	VERB
ejpam-4420	2	33	boonthiem1	boonthiem1	PROPN
ejpam-4420	2	34	,	,	PUNCT
ejpam-4420	2	35	adisak	adisak	PROPN
ejpam-4420	2	36	moumeesri2	moumeesri2	NOUN
ejpam-4420	2	37	,	,	PUNCT
ejpam-4420	2	38	watcharin	watcharin	PROPN
ejpam-4420	2	39	klongdee2	klongdee2	PROPN
ejpam-4420	2	40	,	,	PUNCT
ejpam-4420	2	41	weenakorn	weenakorn	PROPN
ejpam-4420	2	42	ieosanurak2,∗	ieosanurak2,∗	PROPN
ejpam-4420	2	43	1	1	NUM
ejpam-4420	2	44	mathematics	mathematic	NOUN
ejpam-4420	2	45	and	and	CCONJ
ejpam-4420	2	46	statistics	statistic	NOUN
ejpam-4420	2	47	program	program	PROPN
ejpam-4420	2	48	,	,	PUNCT
ejpam-4420	2	49	sakon	sakon	PROPN
ejpam-4420	2	50	nakhon	nakhon	PROPN
ejpam-4420	2	51	rajabhat	rajabhat	PROPN
ejpam-4420	2	52	university	university	PROPN
ejpam-4420	2	53	,	,	PUNCT
ejpam-4420	2	54	sakon	sakon	PROPN
ejpam-4420	2	55	nakhon	nakhon	PROPN
ejpam-4420	2	56	,	,	PUNCT
ejpam-4420	2	57	thailand	thailand	PROPN
ejpam-4420	2	58	2	2	NUM
ejpam-4420	2	59	department	department	NOUN
ejpam-4420	2	60	of	of	ADP
ejpam-4420	2	61	mathematics	mathematic	NOUN
ejpam-4420	2	62	,	,	PUNCT
ejpam-4420	2	63	faculty	faculty	NOUN
ejpam-4420	2	64	of	of	ADP
ejpam-4420	2	65	science	science	NOUN
ejpam-4420	2	66	,	,	PUNCT
ejpam-4420	2	67	khon	khon	PROPN
ejpam-4420	2	68	kaen	kaen	PROPN
ejpam-4420	2	69	university	university	PROPN
ejpam-4420	2	70	,	,	PUNCT
ejpam-4420	2	71	thailand	thailand	PROPN
ejpam-4420	2	72	abstract	abstract	NOUN
ejpam-4420	2	73	.	.	PUNCT
ejpam-4420	3	1	in	in	ADP
ejpam-4420	3	2	this	this	DET
ejpam-4420	3	3	paper	paper	NOUN
ejpam-4420	3	4	,	,	PUNCT
ejpam-4420	3	5	we	we	PRON
ejpam-4420	3	6	introduce	introduce	VERB
ejpam-4420	3	7	a	a	DET
ejpam-4420	3	8	new	new	ADJ
ejpam-4420	3	9	continuous	continuous	ADJ
ejpam-4420	3	10	distribution	distribution	NOUN
ejpam-4420	3	11	mixing	mix	VERB
ejpam-4420	3	12	exponential	exponential	NOUN
ejpam-4420	3	13	and	and	CCONJ
ejpam-4420	3	14	gamma	gamma	NOUN
ejpam-4420	3	15	distributions	distribution	NOUN
ejpam-4420	3	16	,	,	PUNCT
ejpam-4420	3	17	called	call	VERB
ejpam-4420	3	18	new	new	ADJ
ejpam-4420	3	19	sushila	sushila	NOUN
ejpam-4420	3	20	distribution	distribution	NOUN
ejpam-4420	3	21	.	.	PUNCT
ejpam-4420	4	1	we	we	PRON
ejpam-4420	4	2	derive	derive	VERB
ejpam-4420	4	3	some	some	DET
ejpam-4420	4	4	properties	property	NOUN
ejpam-4420	4	5	of	of	ADP
ejpam-4420	4	6	the	the	DET
ejpam-4420	4	7	distribution	distribution	NOUN
ejpam-4420	4	8	include	include	VERB
ejpam-4420	4	9	:	:	PUNCT
ejpam-4420	4	10	probability	probability	NOUN
ejpam-4420	4	11	density	density	NOUN
ejpam-4420	4	12	function	function	NOUN
ejpam-4420	4	13	,	,	PUNCT
ejpam-4420	4	14	cumulative	cumulative	ADJ
ejpam-4420	4	15	distribution	distribution	NOUN
ejpam-4420	4	16	function	function	NOUN
ejpam-4420	4	17	,	,	PUNCT
ejpam-4420	4	18	expected	expect	VERB
ejpam-4420	4	19	value	value	NOUN
ejpam-4420	4	20	,	,	PUNCT
ejpam-4420	4	21	moments	moment	NOUN
ejpam-4420	4	22	about	about	ADP
ejpam-4420	4	23	the	the	DET
ejpam-4420	4	24	origin	origin	NOUN
ejpam-4420	4	25	,	,	PUNCT
ejpam-4420	4	26	coefficient	coefficient	NOUN
ejpam-4420	4	27	of	of	ADP
ejpam-4420	4	28	variation	variation	NOUN
ejpam-4420	4	29	(	(	PUNCT
ejpam-4420	4	30	c.v	c.v	PROPN
ejpam-4420	4	31	.	.	PROPN
ejpam-4420	4	32	)	)	PUNCT
ejpam-4420	4	33	,	,	PUNCT
ejpam-4420	4	34	coefficient	coefficient	NOUN
ejpam-4420	4	35	of	of	ADP
ejpam-4420	4	36	skewness	skewness	NOUN
ejpam-4420	4	37	,	,	PUNCT
ejpam-4420	4	38	coefficient	coefficient	NOUN
ejpam-4420	4	39	of	of	ADP
ejpam-4420	4	40	kurtosis	kurtosis	NOUN
ejpam-4420	4	41	,	,	PUNCT
ejpam-4420	4	42	moment	moment	NOUN
ejpam-4420	4	43	generating	generate	VERB
ejpam-4420	4	44	function	function	NOUN
ejpam-4420	4	45	,	,	PUNCT
ejpam-4420	4	46	and	and	CCONJ
ejpam-4420	4	47	reliability	reliability	NOUN
ejpam-4420	4	48	measures	measure	NOUN
ejpam-4420	4	49	.	.	PUNCT
ejpam-4420	5	1	the	the	DET
ejpam-4420	5	2	distribution	distribution	NOUN
ejpam-4420	5	3	includes	include	VERB
ejpam-4420	5	4	,	,	PUNCT
ejpam-4420	5	5	a	a	DET
ejpam-4420	5	6	special	special	ADJ
ejpam-4420	5	7	cases	case	NOUN
ejpam-4420	5	8	,	,	PUNCT
ejpam-4420	5	9	the	the	DET
ejpam-4420	5	10	sushila	sushila	NOUN
ejpam-4420	5	11	distribution	distribution	NOUN
ejpam-4420	5	12	as	as	ADP
ejpam-4420	5	13	a	a	DET
ejpam-4420	5	14	particular	particular	ADJ
ejpam-4420	5	15	case	case	NOUN
ejpam-4420	5	16	p	p	X
ejpam-4420	5	17	=	=	NOUN
ejpam-4420	5	18	1	1	NUM
ejpam-4420	5	19	2	2	NUM
ejpam-4420	5	20	(	(	PUNCT
ejpam-4420	5	21	θ	θ	NOUN
ejpam-4420	5	22	=	=	SYM
ejpam-4420	5	23	1	1	NUM
ejpam-4420	5	24	)	)	PUNCT
ejpam-4420	5	25	.	.	PUNCT
ejpam-4420	6	1	the	the	DET
ejpam-4420	6	2	hazard	hazard	NOUN
ejpam-4420	6	3	rate	rate	NOUN
ejpam-4420	6	4	function	function	NOUN
ejpam-4420	6	5	exhibits	exhibit	VERB
ejpam-4420	6	6	increasing	increase	VERB
ejpam-4420	6	7	.	.	PUNCT
ejpam-4420	7	1	the	the	DET
ejpam-4420	7	2	parameter	parameter	NOUN
ejpam-4420	7	3	estimations	estimation	NOUN
ejpam-4420	7	4	as	as	ADP
ejpam-4420	7	5	the	the	DET
ejpam-4420	7	6	moment	moment	NOUN
ejpam-4420	7	7	estimation	estimation	NOUN
ejpam-4420	7	8	(	(	PUNCT
ejpam-4420	7	9	me	i	PRON
ejpam-4420	7	10	)	)	PUNCT
ejpam-4420	7	11	,	,	PUNCT
ejpam-4420	7	12	the	the	DET
ejpam-4420	7	13	maximum	maximum	ADJ
ejpam-4420	7	14	likelihood	likelihood	NOUN
ejpam-4420	7	15	estimation	estimation	NOUN
ejpam-4420	7	16	(	(	PUNCT
ejpam-4420	7	17	mle	mle	PROPN
ejpam-4420	7	18	)	)	PUNCT
ejpam-4420	7	19	,	,	PUNCT
ejpam-4420	7	20	nonlinear	nonlinear	ADJ
ejpam-4420	7	21	least	least	ADJ
ejpam-4420	7	22	squares	square	NOUN
ejpam-4420	7	23	methods	method	NOUN
ejpam-4420	7	24	,	,	PUNCT
ejpam-4420	7	25	and	and	CCONJ
ejpam-4420	7	26	genetic	genetic	ADJ
ejpam-4420	7	27	algorithm	algorithm	NOUN
ejpam-4420	7	28	(	(	PUNCT
ejpam-4420	7	29	ga	ga	NOUN
ejpam-4420	7	30	)	)	PUNCT
ejpam-4420	7	31	are	be	AUX
ejpam-4420	7	32	proposed	propose	VERB
ejpam-4420	7	33	.	.	PUNCT
ejpam-4420	8	1	the	the	DET
ejpam-4420	8	2	application	application	NOUN
ejpam-4420	8	3	is	be	AUX
ejpam-4420	8	4	presented	present	VERB
ejpam-4420	8	5	to	to	PART
ejpam-4420	8	6	show	show	VERB
ejpam-4420	8	7	that	that	DET
ejpam-4420	8	8	model	model	NOUN
ejpam-4420	8	9	to	to	PART
ejpam-4420	8	10	fit	fit	VERB
ejpam-4420	8	11	for	for	ADP
ejpam-4420	8	12	waiting	wait	VERB
ejpam-4420	8	13	time	time	NOUN
ejpam-4420	8	14	and	and	CCONJ
ejpam-4420	8	15	survival	survival	PROPN
ejpam-4420	8	16	time	time	PROPN
ejpam-4420	8	17	data	data	PROPN
ejpam-4420	8	18	.	.	PUNCT
ejpam-4420	9	1	numerical	numerical	PROPN
ejpam-4420	9	2	results	result	NOUN
ejpam-4420	9	3	compare	compare	VERB
ejpam-4420	9	4	me	i	PRON
ejpam-4420	9	5	,	,	PUNCT
ejpam-4420	9	6	mle	mle	PROPN
ejpam-4420	9	7	,	,	PUNCT
ejpam-4420	9	8	weighted	weight	VERB
ejpam-4420	9	9	least	least	ADJ
ejpam-4420	9	10	squares	square	NOUN
ejpam-4420	9	11	(	(	PUNCT
ejpam-4420	9	12	wls	wls	PROPN
ejpam-4420	9	13	)	)	PUNCT
ejpam-4420	9	14	,	,	PUNCT
ejpam-4420	9	15	unweighted	unweighte	VERB
ejpam-4420	9	16	least	least	ADJ
ejpam-4420	9	17	squares	square	NOUN
ejpam-4420	9	18	(	(	PUNCT
ejpam-4420	9	19	uwls	uwls	ADJ
ejpam-4420	9	20	)	)	PUNCT
ejpam-4420	9	21	,	,	PUNCT
ejpam-4420	9	22	and	and	CCONJ
ejpam-4420	9	23	ga	ga	PROPN
ejpam-4420	9	24	.	.	PUNCT
ejpam-4420	10	1	the	the	DET
ejpam-4420	10	2	results	result	NOUN
ejpam-4420	10	3	conclude	conclude	VERB
ejpam-4420	10	4	that	that	SCONJ
ejpam-4420	10	5	ga	ga	PROPN
ejpam-4420	10	6	method	method	NOUN
ejpam-4420	10	7	is	be	AUX
ejpam-4420	10	8	better	well	ADJ
ejpam-4420	10	9	performance	performance	NOUN
ejpam-4420	10	10	than	than	ADP
ejpam-4420	10	11	the	the	DET
ejpam-4420	10	12	others	other	NOUN
ejpam-4420	10	13	for	for	ADP
ejpam-4420	10	14	iterative	iterative	ADJ
ejpam-4420	10	15	methods	method	NOUN
ejpam-4420	10	16	.	.	PUNCT
ejpam-4420	11	1	although	although	SCONJ
ejpam-4420	11	2	,	,	PUNCT
ejpam-4420	11	3	me	i	PRON
ejpam-4420	11	4	is	be	AUX
ejpam-4420	11	5	not	not	PART
ejpam-4420	11	6	the	the	DET
ejpam-4420	11	7	best	good	ADJ
ejpam-4420	11	8	estimate	estimate	NOUN
ejpam-4420	11	9	,	,	PUNCT
ejpam-4420	11	10	me	i	PRON
ejpam-4420	11	11	is	be	AUX
ejpam-4420	11	12	a	a	DET
ejpam-4420	11	13	fast	fast	ADJ
ejpam-4420	11	14	estimate	estimate	NOUN
ejpam-4420	11	15	,	,	PUNCT
ejpam-4420	11	16	because	because	SCONJ
ejpam-4420	11	17	it	it	PRON
ejpam-4420	11	18	is	be	AUX
ejpam-4420	11	19	not	not	PART
ejpam-4420	11	20	an	an	DET
ejpam-4420	11	21	iterative	iterative	NOUN
ejpam-4420	11	22	method	method	NOUN
ejpam-4420	11	23	.	.	PUNCT
ejpam-4420	12	1	moreover	moreover	ADV
ejpam-4420	12	2	,	,	PUNCT
ejpam-4420	12	3	the	the	DET
ejpam-4420	12	4	proposed	propose	VERB
ejpam-4420	12	5	distribution	distribution	NOUN
ejpam-4420	12	6	has	have	AUX
ejpam-4420	12	7	been	be	AUX
ejpam-4420	12	8	compared	compare	VERB
ejpam-4420	12	9	with	with	ADP
ejpam-4420	12	10	lindley	lindley	NOUN
ejpam-4420	12	11	and	and	CCONJ
ejpam-4420	12	12	sushila	sushila	NOUN
ejpam-4420	12	13	distributions	distribution	NOUN
ejpam-4420	12	14	to	to	ADP
ejpam-4420	12	15	a	a	DET
ejpam-4420	12	16	waiting	waiting	NOUN
ejpam-4420	12	17	time	time	NOUN
ejpam-4420	12	18	data	datum	NOUN
ejpam-4420	12	19	set	set	VERB
ejpam-4420	12	20	.	.	PUNCT
ejpam-4420	13	1	the	the	DET
ejpam-4420	13	2	result	result	NOUN
ejpam-4420	13	3	shows	show	VERB
ejpam-4420	13	4	that	that	SCONJ
ejpam-4420	13	5	the	the	DET
ejpam-4420	13	6	proposed	propose	VERB
ejpam-4420	13	7	distribution	distribution	NOUN
ejpam-4420	13	8	is	be	AUX
ejpam-4420	13	9	performing	perform	VERB
ejpam-4420	13	10	better	well	ADV
ejpam-4420	13	11	than	than	ADP
ejpam-4420	13	12	lindley	lindley	NOUN
ejpam-4420	13	13	and	and	CCONJ
ejpam-4420	13	14	sushila	sushila	NOUN
ejpam-4420	13	15	distribution	distribution	NOUN
ejpam-4420	13	16	.	.	PUNCT
ejpam-4420	14	1	2020	2020	NUM
ejpam-4420	14	2	mathematics	mathematic	NOUN
ejpam-4420	14	3	subject	subject	NOUN
ejpam-4420	14	4	classifications	classification	NOUN
ejpam-4420	14	5	:	:	PUNCT
ejpam-4420	14	6	60	60	NUM
ejpam-4420	14	7	-	-	SYM
ejpam-4420	14	8	08	08	NUM
ejpam-4420	14	9	,	,	PUNCT
ejpam-4420	14	10	62	62	NUM
ejpam-4420	14	11	-	-	SYM
ejpam-4420	14	12	08	08	NUM
ejpam-4420	14	13	,	,	PUNCT
ejpam-4420	14	14	49m99	49m99	PRON
ejpam-4420	14	15	key	key	ADJ
ejpam-4420	14	16	words	word	NOUN
ejpam-4420	14	17	and	and	CCONJ
ejpam-4420	14	18	phrases	phrase	NOUN
ejpam-4420	14	19	:	:	PUNCT
ejpam-4420	14	20	exponential	exponential	ADJ
ejpam-4420	14	21	distribution	distribution	NOUN
ejpam-4420	14	22	,	,	PUNCT
ejpam-4420	14	23	gamma	gamma	NOUN
ejpam-4420	14	24	distribution	distribution	NOUN
ejpam-4420	14	25	,	,	PUNCT
ejpam-4420	14	26	least	least	ADJ
ejpam-4420	14	27	square	square	ADJ
ejpam-4420	14	28	method	method	NOUN
ejpam-4420	14	29	,	,	PUNCT
ejpam-4420	14	30	maximum	maximum	ADJ
ejpam-4420	14	31	likelihood	likelihood	NOUN
ejpam-4420	14	32	estimation	estimation	NOUN
ejpam-4420	14	33	,	,	PUNCT
ejpam-4420	14	34	method	method	NOUN
ejpam-4420	14	35	of	of	ADP
ejpam-4420	14	36	moment	moment	NOUN
ejpam-4420	14	37	,	,	PUNCT
ejpam-4420	14	38	genetic	genetic	ADJ
ejpam-4420	14	39	algorithm	algorithm	NOUN
ejpam-4420	14	40	,	,	PUNCT
ejpam-4420	14	41	estimator	estimator	NOUN
ejpam-4420	14	42	1	1	NUM
ejpam-4420	14	43	.	.	PUNCT
ejpam-4420	15	1	introduction	introduction	NOUN
ejpam-4420	15	2	finite	finite	NOUN
ejpam-4420	15	3	mixture	mixture	NOUN
ejpam-4420	15	4	models	model	NOUN
ejpam-4420	15	5	are	be	AUX
ejpam-4420	15	6	a	a	DET
ejpam-4420	15	7	widespread	widespread	ADJ
ejpam-4420	15	8	tool	tool	NOUN
ejpam-4420	15	9	to	to	ADP
ejpam-4420	15	10	heterogeneous	heterogeneous	ADJ
ejpam-4420	15	11	data	datum	NOUN
ejpam-4420	15	12	analytic	analytic	ADJ
ejpam-4420	15	13	for	for	ADP
ejpam-4420	15	14	across	across	ADP
ejpam-4420	15	15	a	a	DET
ejpam-4420	15	16	broad	broad	ADJ
ejpam-4420	15	17	number	number	NOUN
ejpam-4420	15	18	of	of	ADP
ejpam-4420	15	19	fields	field	NOUN
ejpam-4420	15	20	including	include	VERB
ejpam-4420	15	21	agriculture	agriculture	NOUN
ejpam-4420	15	22	,	,	PUNCT
ejpam-4420	15	23	botany	botany	NOUN
ejpam-4420	15	24	,	,	PUNCT
ejpam-4420	15	25	bioinformatics	bioinformatics	NOUN
ejpam-4420	15	26	,	,	PUNCT
ejpam-4420	15	27	cell	cell	NOUN
ejpam-4420	15	28	biology	biology	NOUN
ejpam-4420	15	29	,	,	PUNCT
ejpam-4420	15	30	genetics	genetic	NOUN
ejpam-4420	15	31	,	,	PUNCT
ejpam-4420	15	32	genomics	genomics	NOUN
ejpam-4420	15	33	,	,	PUNCT
ejpam-4420	15	34	genealogy	genealogy	NOUN
ejpam-4420	15	35	,	,	PUNCT
ejpam-4420	15	36	paleontology	paleontology	NOUN
ejpam-4420	15	37	,	,	PUNCT
ejpam-4420	15	38	zoology	zoology	NOUN
ejpam-4420	15	39	,	,	PUNCT
ejpam-4420	15	40	fisheries	fishery	NOUN
ejpam-4420	15	41	research	research	NOUN
ejpam-4420	15	42	,	,	PUNCT
ejpam-4420	15	43	economics	economic	NOUN
ejpam-4420	15	44	,	,	PUNCT
ejpam-4420	15	45	machine	machine	NOUN
ejpam-4420	15	46	learning	learning	NOUN
ejpam-4420	15	47	,	,	PUNCT
ejpam-4420	15	48	medicine	medicine	NOUN
ejpam-4420	15	49	,	,	PUNCT
ejpam-4420	15	50	psychology	psychology	NOUN
ejpam-4420	15	51	,	,	PUNCT
ejpam-4420	15	52	insurance	insurance	NOUN
ejpam-4420	15	53	,	,	PUNCT
ejpam-4420	15	54	physics	physics	NOUN
ejpam-4420	15	55	,	,	PUNCT
ejpam-4420	15	56	engineering	engineering	NOUN
ejpam-4420	15	57	and	and	CCONJ
ejpam-4420	15	58	chemistry	chemistry	NOUN
ejpam-4420	15	59	,	,	PUNCT
ejpam-4420	15	60	among	among	ADP
ejpam-4420	15	61	many	many	ADJ
ejpam-4420	15	62	∗corresponding	∗corresponde	VERB
ejpam-4420	15	63	author	author	NOUN
ejpam-4420	15	64	.	.	PUNCT
ejpam-4420	16	1	doi	doi	NOUN
ejpam-4420	16	2	:	:	PUNCT
ejpam-4420	16	3	https://doi.org/10.29020/nybg.ejpam.v15i3.4420	https://doi.org/10.29020/nybg.ejpam.v15i3.4420	NUM
ejpam-4420	16	4	email	email	NOUN
ejpam-4420	16	5	addresses	address	NOUN
ejpam-4420	16	6	:	:	PUNCT
ejpam-4420	16	7	somchit	somchit	VERB
ejpam-4420	16	8	math@snru.ac.th	math@snru.ac.th	ADP
ejpam-4420	16	9	(	(	PUNCT
ejpam-4420	16	10	s.	s.	PROPN
ejpam-4420	16	11	boonthiem	boonthiem	PROPN
ejpam-4420	16	12	)	)	PUNCT
ejpam-4420	16	13	,	,	PUNCT
ejpam-4420	16	14	adisak.m@kkumail.com	adisak.m@kkumail.com	PROPN
ejpam-4420	16	15	(	(	PUNCT
ejpam-4420	16	16	a.	a.	NOUN
ejpam-4420	16	17	moumeesri	moumeesri	PROPN
ejpam-4420	16	18	)	)	PUNCT
ejpam-4420	16	19	,	,	PUNCT
ejpam-4420	17	1	kwatch@kku.ac.th	kwatch@kku.ac.th	PROPN
ejpam-4420	17	2	(	(	PUNCT
ejpam-4420	17	3	w.	w.	PROPN
ejpam-4420	17	4	klongdee	klongdee	PROPN
ejpam-4420	17	5	)	)	PUNCT
ejpam-4420	17	6	,	,	PUNCT
ejpam-4420	17	7	weenie@kku.ac.th	weenie@kku.ac.th	PROPN
ejpam-4420	17	8	(	(	PUNCT
ejpam-4420	17	9	w.	w.	NOUN
ejpam-4420	17	10	ieosanurak	ieosanurak	PROPN
ejpam-4420	17	11	)	)	PUNCT
ejpam-4420	17	12	https://www.ejpam.com	https://www.ejpam.com	X
ejpam-4420	17	13	1280	1280	NUM
ejpam-4420	18	1	©	©	ADP
ejpam-4420	18	2	2022	2022	NUM
ejpam-4420	18	3	ejpam	ejpam	VERB
ejpam-4420	18	4	all	all	DET
ejpam-4420	18	5	rights	right	NOUN
ejpam-4420	18	6	reserved	reserve	VERB
ejpam-4420	18	7	.	.	PUNCT
ejpam-4420	19	1	w.	w.	PROPN
ejpam-4420	19	2	ieosanurak	ieosanurak	PROPN
ejpam-4420	19	3	et	et	PROPN
ejpam-4420	19	4	al	al	PROPN
ejpam-4420	19	5	.	.	PUNCT
ejpam-4420	19	6	/	/	SYM
ejpam-4420	19	7	eur	eur	PROPN
ejpam-4420	19	8	.	.	PUNCT
ejpam-4420	20	1	j.	j.	PROPN
ejpam-4420	20	2	pure	pure	PROPN
ejpam-4420	20	3	appl	appl	PROPN
ejpam-4420	20	4	.	.	PROPN
ejpam-4420	20	5	math	math	PROPN
ejpam-4420	20	6	,	,	PUNCT
ejpam-4420	20	7	15	15	NUM
ejpam-4420	20	8	(	(	PUNCT
ejpam-4420	20	9	3	3	NUM
ejpam-4420	20	10	)	)	PUNCT
ejpam-4420	20	11	(	(	PUNCT
ejpam-4420	20	12	2022	2022	NUM
ejpam-4420	20	13	)	)	PUNCT
ejpam-4420	20	14	,	,	PUNCT
ejpam-4420	20	15	1280	1280	NUM
ejpam-4420	20	16	-	-	SYM
ejpam-4420	20	17	1300	1300	NUM
ejpam-4420	20	18	1281	1281	NUM
ejpam-4420	20	19	others	other	NOUN
ejpam-4420	20	20	.	.	PUNCT
ejpam-4420	21	1	because	because	SCONJ
ejpam-4420	21	2	of	of	ADP
ejpam-4420	21	3	their	their	PRON
ejpam-4420	21	4	flexibility	flexibility	NOUN
ejpam-4420	21	5	,	,	PUNCT
ejpam-4420	21	6	finite	finite	ADJ
ejpam-4420	21	7	mixture	mixture	NOUN
ejpam-4420	21	8	models	model	NOUN
ejpam-4420	21	9	can	can	AUX
ejpam-4420	21	10	be	be	AUX
ejpam-4420	21	11	used	use	VERB
ejpam-4420	21	12	to	to	PART
ejpam-4420	21	13	cluster	cluster	NOUN
ejpam-4420	21	14	data	datum	NOUN
ejpam-4420	21	15	,	,	PUNCT
ejpam-4420	21	16	classify	classify	VERB
ejpam-4420	21	17	data	datum	NOUN
ejpam-4420	21	18	,	,	PUNCT
ejpam-4420	21	19	estimate	estimate	VERB
ejpam-4420	21	20	densities	density	NOUN
ejpam-4420	21	21	,	,	PUNCT
ejpam-4420	21	22	and	and	CCONJ
ejpam-4420	21	23	increasingly	increasingly	ADV
ejpam-4420	21	24	.	.	PUNCT
ejpam-4420	22	1	an	an	DET
ejpam-4420	22	2	enormous	enormous	ADJ
ejpam-4420	22	3	number	number	NOUN
ejpam-4420	22	4	of	of	ADP
ejpam-4420	22	5	research	research	NOUN
ejpam-4420	22	6	have	have	AUX
ejpam-4420	22	7	presented	present	VERB
ejpam-4420	22	8	some	some	DET
ejpam-4420	22	9	approaches	approach	NOUN
ejpam-4420	22	10	into	into	ADP
ejpam-4420	22	11	finite	finite	ADJ
ejpam-4420	22	12	mixture	mixture	NOUN
ejpam-4420	22	13	models	model	NOUN
ejpam-4420	22	14	and	and	CCONJ
ejpam-4420	22	15	many	many	ADJ
ejpam-4420	22	16	methods	method	NOUN
ejpam-4420	22	17	to	to	ADP
ejpam-4420	22	18	fitting	fitting	ADJ
ejpam-4420	22	19	lifetime	lifetime	NOUN
ejpam-4420	22	20	data	datum	NOUN
ejpam-4420	22	21	for	for	ADP
ejpam-4420	22	22	improve	improve	VERB
ejpam-4420	22	23	performance	performance	NOUN
ejpam-4420	22	24	of	of	ADP
ejpam-4420	22	25	parameters	parameter	NOUN
ejpam-4420	22	26	are	be	AUX
ejpam-4420	22	27	used	use	VERB
ejpam-4420	22	28	.	.	PUNCT
ejpam-4420	23	1	the	the	DET
ejpam-4420	23	2	bayesian	bayesian	NOUN
ejpam-4420	23	3	approach	approach	NOUN
ejpam-4420	23	4	is	be	AUX
ejpam-4420	23	5	used	use	VERB
ejpam-4420	23	6	into	into	ADP
ejpam-4420	23	7	[	[	X
ejpam-4420	23	8	17–20	17–20	NUM
ejpam-4420	23	9	,	,	PUNCT
ejpam-4420	23	10	22	22	NUM
ejpam-4420	23	11	,	,	PUNCT
ejpam-4420	23	12	23	23	NUM
ejpam-4420	23	13	,	,	PUNCT
ejpam-4420	23	14	25	25	NUM
ejpam-4420	23	15	]	]	PUNCT
ejpam-4420	23	16	.	.	PUNCT
ejpam-4420	24	1	the	the	DET
ejpam-4420	24	2	maximum	maximum	ADJ
ejpam-4420	24	3	likelihood	likelihood	NOUN
ejpam-4420	24	4	estimation	estimation	NOUN
ejpam-4420	24	5	approach	approach	NOUN
ejpam-4420	24	6	is	be	AUX
ejpam-4420	24	7	used	use	VERB
ejpam-4420	24	8	into	into	ADP
ejpam-4420	24	9	[	[	X
ejpam-4420	24	10	7	7	NUM
ejpam-4420	24	11	,	,	PUNCT
ejpam-4420	24	12	8	8	NUM
ejpam-4420	24	13	,	,	PUNCT
ejpam-4420	24	14	10	10	NUM
ejpam-4420	24	15	,	,	PUNCT
ejpam-4420	24	16	21	21	NUM
ejpam-4420	24	17	,	,	PUNCT
ejpam-4420	24	18	23–25	23–25	NUM
ejpam-4420	24	19	]	]	PUNCT
ejpam-4420	24	20	.	.	PUNCT
ejpam-4420	25	1	the	the	DET
ejpam-4420	25	2	least	least	ADJ
ejpam-4420	25	3	square	square	ADJ
ejpam-4420	25	4	estimator	estimator	NOUN
ejpam-4420	25	5	and	and	CCONJ
ejpam-4420	25	6	weighted	weight	VERB
ejpam-4420	25	7	least	least	ADJ
ejpam-4420	25	8	square	square	ADJ
ejpam-4420	25	9	estimator	estimator	NOUN
ejpam-4420	25	10	are	be	AUX
ejpam-4420	25	11	used	use	VERB
ejpam-4420	25	12	into	into	ADP
ejpam-4420	25	13	[	[	X
ejpam-4420	25	14	7	7	NUM
ejpam-4420	25	15	,	,	PUNCT
ejpam-4420	25	16	10	10	NUM
ejpam-4420	25	17	,	,	PUNCT
ejpam-4420	25	18	21	21	NUM
ejpam-4420	25	19	]	]	PUNCT
ejpam-4420	25	20	.	.	PUNCT
ejpam-4420	26	1	the	the	DET
ejpam-4420	26	2	lagrangian	lagrangian	ADJ
ejpam-4420	26	3	multiplier	multipli	ADJ
ejpam-4420	26	4	approach	approach	NOUN
ejpam-4420	26	5	is	be	AUX
ejpam-4420	26	6	used	use	VERB
ejpam-4420	26	7	into	into	ADP
ejpam-4420	26	8	[	[	X
ejpam-4420	26	9	5	5	NUM
ejpam-4420	26	10	]	]	PUNCT
ejpam-4420	26	11	and	and	CCONJ
ejpam-4420	26	12	the	the	DET
ejpam-4420	26	13	arma	arma	PROPN
ejpam-4420	26	14	approach	approach	NOUN
ejpam-4420	26	15	is	be	AUX
ejpam-4420	26	16	used	use	VERB
ejpam-4420	26	17	into	into	ADP
ejpam-4420	26	18	[	[	X
ejpam-4420	26	19	9	9	NUM
ejpam-4420	26	20	]	]	PUNCT
ejpam-4420	26	21	.	.	PUNCT
ejpam-4420	27	1	there	there	PRON
ejpam-4420	27	2	are	be	VERB
ejpam-4420	27	3	focus	focus	NOUN
ejpam-4420	27	4	on	on	ADP
ejpam-4420	27	5	the	the	DET
ejpam-4420	27	6	parameter	parameter	NOUN
ejpam-4420	27	7	estimation	estimation	NOUN
ejpam-4420	27	8	which	which	PRON
ejpam-4420	27	9	is	be	AUX
ejpam-4420	27	10	important	important	ADJ
ejpam-4420	27	11	to	to	PART
ejpam-4420	27	12	bring	bring	VERB
ejpam-4420	27	13	into	into	ADP
ejpam-4420	27	14	the	the	DET
ejpam-4420	27	15	next	next	ADJ
ejpam-4420	27	16	step	step	NOUN
ejpam-4420	27	17	on	on	ADP
ejpam-4420	27	18	application	application	NOUN
ejpam-4420	27	19	.	.	PUNCT
ejpam-4420	28	1	a	a	DET
ejpam-4420	28	2	continuous	continuous	ADJ
ejpam-4420	28	3	random	random	ADJ
ejpam-4420	28	4	variable	variable	NOUN
ejpam-4420	28	5	x	x	PUNCT
ejpam-4420	28	6	which	which	PRON
ejpam-4420	28	7	is	be	AUX
ejpam-4420	28	8	called	call	VERB
ejpam-4420	28	9	to	to	PART
ejpam-4420	28	10	have	have	VERB
ejpam-4420	28	11	an	an	DET
ejpam-4420	28	12	exponential	exponential	ADJ
ejpam-4420	28	13	distribution	distribution	NOUN
ejpam-4420	28	14	with	with	ADP
ejpam-4420	28	15	one	one	NUM
ejpam-4420	28	16	parameter	parameter	NOUN
ejpam-4420	28	17	λ	λ	X
ejpam-4420	28	18	>	>	X
ejpam-4420	28	19	0	0	NUM
ejpam-4420	28	20	,	,	PUNCT
ejpam-4420	28	21	often	often	ADV
ejpam-4420	28	22	called	call	VERB
ejpam-4420	28	23	rate	rate	NOUN
ejpam-4420	28	24	parameter	parameter	NOUN
ejpam-4420	28	25	,	,	PUNCT
ejpam-4420	28	26	denoted	denote	VERB
ejpam-4420	28	27	by	by	ADP
ejpam-4420	28	28	x	x	PUNCT
ejpam-4420	28	29	∼	∼	NOUN
ejpam-4420	28	30	exp(λ	exp(λ	NOUN
ejpam-4420	28	31	)	)	PUNCT
ejpam-4420	28	32	.	.	PUNCT
ejpam-4420	29	1	the	the	DET
ejpam-4420	29	2	probability	probability	NOUN
ejpam-4420	29	3	density	density	NOUN
ejpam-4420	29	4	function	function	NOUN
ejpam-4420	29	5	(	(	PUNCT
ejpam-4420	29	6	pdf	pdf	NOUN
ejpam-4420	29	7	)	)	PUNCT
ejpam-4420	29	8	of	of	ADP
ejpam-4420	29	9	the	the	DET
ejpam-4420	29	10	distribution	distribution	NOUN
ejpam-4420	29	11	is	be	AUX
ejpam-4420	29	12	given	give	VERB
ejpam-4420	29	13	by	by	ADP
ejpam-4420	29	14	f(x;λ	f(x;λ	ADJ
ejpam-4420	29	15	)	)	PUNCT
ejpam-4420	30	1	=	=	PUNCT
ejpam-4420	30	2	λe−λx	λe−λx	NOUN
ejpam-4420	30	3	,	,	PUNCT
ejpam-4420	30	4	x	x	X
ejpam-4420	30	5	≥	≥	NOUN
ejpam-4420	30	6	0	0	NUM
ejpam-4420	30	7	,	,	PUNCT
ejpam-4420	30	8	and	and	CCONJ
ejpam-4420	30	9	the	the	DET
ejpam-4420	30	10	cumulative	cumulative	ADJ
ejpam-4420	30	11	distribution	distribution	NOUN
ejpam-4420	30	12	function	function	NOUN
ejpam-4420	30	13	(	(	PUNCT
ejpam-4420	30	14	cdf	cdf	PROPN
ejpam-4420	30	15	)	)	PUNCT
ejpam-4420	30	16	,	,	PUNCT
ejpam-4420	30	17	has	have	AUX
ejpam-4420	30	18	been	be	AUX
ejpam-4420	30	19	obtained	obtain	VERB
ejpam-4420	30	20	as	as	ADP
ejpam-4420	30	21	f	f	PROPN
ejpam-4420	30	22	(	(	PUNCT
ejpam-4420	30	23	x	x	NOUN
ejpam-4420	30	24	)	)	PUNCT
ejpam-4420	30	25	=	=	SYM
ejpam-4420	30	26	1−	1−	NUM
ejpam-4420	30	27	e−λx	e−λx	NOUN
ejpam-4420	30	28	,	,	PUNCT
ejpam-4420	30	29	x	x	X
ejpam-4420	30	30	≥	≥	NOUN
ejpam-4420	30	31	0	0	NUM
ejpam-4420	30	32	.	.	PUNCT
ejpam-4420	31	1	a	a	DET
ejpam-4420	31	2	continuous	continuous	ADJ
ejpam-4420	31	3	random	random	ADJ
ejpam-4420	31	4	variable	variable	NOUN
ejpam-4420	31	5	x	x	PUNCT
ejpam-4420	31	6	is	be	AUX
ejpam-4420	31	7	called	call	VERB
ejpam-4420	31	8	to	to	PART
ejpam-4420	31	9	have	have	VERB
ejpam-4420	31	10	a	a	DET
ejpam-4420	31	11	gamma	gamma	NOUN
ejpam-4420	31	12	distribution	distribution	NOUN
ejpam-4420	31	13	with	with	ADP
ejpam-4420	31	14	two	two	NUM
ejpam-4420	31	15	parameters	parameter	NOUN
ejpam-4420	31	16	α	α	X
ejpam-4420	31	17	>	>	X
ejpam-4420	31	18	0	0	NUM
ejpam-4420	31	19	,	,	PUNCT
ejpam-4420	31	20	often	often	ADV
ejpam-4420	31	21	called	call	VERB
ejpam-4420	31	22	shape	shape	NOUN
ejpam-4420	31	23	parameter	parameter	NOUN
ejpam-4420	31	24	,	,	PUNCT
ejpam-4420	31	25	and	and	CCONJ
ejpam-4420	31	26	λ	λ	X
ejpam-4420	31	27	>	>	X
ejpam-4420	31	28	0	0	NUM
ejpam-4420	31	29	,	,	PUNCT
ejpam-4420	31	30	often	often	ADV
ejpam-4420	31	31	called	call	VERB
ejpam-4420	31	32	rate	rate	NOUN
ejpam-4420	31	33	parameter	parameter	NOUN
ejpam-4420	31	34	,	,	PUNCT
ejpam-4420	31	35	denoted	denote	VERB
ejpam-4420	31	36	by	by	ADP
ejpam-4420	31	37	x	x	X
ejpam-4420	31	38	∼	∼	NOUN
ejpam-4420	31	39	gamma(α	gamma(α	PROPN
ejpam-4420	31	40	,	,	PUNCT
ejpam-4420	31	41	λ	λ	NOUN
ejpam-4420	31	42	)	)	PUNCT
ejpam-4420	31	43	.	.	PUNCT
ejpam-4420	32	1	the	the	DET
ejpam-4420	32	2	pdf	pdf	NOUN
ejpam-4420	32	3	of	of	ADP
ejpam-4420	32	4	the	the	DET
ejpam-4420	32	5	distribution	distribution	NOUN
ejpam-4420	32	6	is	be	AUX
ejpam-4420	32	7	given	give	VERB
ejpam-4420	32	8	by	by	ADP
ejpam-4420	32	9	f(x;α	f(x;α	PROPN
ejpam-4420	32	10	,	,	PUNCT
ejpam-4420	32	11	λ	λ	NOUN
ejpam-4420	32	12	)	)	PUNCT
ejpam-4420	32	13	=	=	SYM
ejpam-4420	32	14	λαxα−1e−λx	λαxα−1e−λx	NUM
ejpam-4420	32	15	γ(α	γ(α	NOUN
ejpam-4420	32	16	)	)	PUNCT
ejpam-4420	32	17	,	,	PUNCT
ejpam-4420	32	18	x	x	X
ejpam-4420	32	19	>	>	X
ejpam-4420	32	20	0	0	NUM
ejpam-4420	32	21	,	,	PUNCT
ejpam-4420	32	22	where	where	SCONJ
ejpam-4420	32	23	γ(α	γ(α	NOUN
ejpam-4420	32	24	)	)	PUNCT
ejpam-4420	32	25	is	be	AUX
ejpam-4420	32	26	gamma	gamma	NOUN
ejpam-4420	32	27	function	function	NOUN
ejpam-4420	32	28	.	.	PUNCT
ejpam-4420	33	1	we	we	PRON
ejpam-4420	33	2	can	can	AUX
ejpam-4420	33	3	see	see	VERB
ejpam-4420	33	4	that	that	DET
ejpam-4420	33	5	gamma(1	gamma(1	NOUN
ejpam-4420	33	6	,	,	PUNCT
ejpam-4420	33	7	λ	λ	NOUN
ejpam-4420	33	8	)	)	PUNCT
ejpam-4420	33	9	=	=	SYM
ejpam-4420	33	10	exp(λ	exp(λ	PROPN
ejpam-4420	33	11	)	)	PUNCT
ejpam-4420	33	12	.	.	PUNCT
ejpam-4420	34	1	its	its	PRON
ejpam-4420	34	2	cdf	cdf	PROPN
ejpam-4420	34	3	is	be	AUX
ejpam-4420	34	4	given	give	VERB
ejpam-4420	34	5	by	by	ADP
ejpam-4420	34	6	f	f	PROPN
ejpam-4420	34	7	(	(	PUNCT
ejpam-4420	34	8	x	x	NOUN
ejpam-4420	34	9	)	)	PUNCT
ejpam-4420	34	10	=	=	SYM
ejpam-4420	34	11	1	1	NUM
ejpam-4420	34	12	γ(α	γ(α	NOUN
ejpam-4420	34	13	)	)	PUNCT
ejpam-4420	34	14	γ(α	γ(α	PROPN
ejpam-4420	34	15	,	,	PUNCT
ejpam-4420	34	16	λx	λx	PROPN
ejpam-4420	34	17	)	)	PUNCT
ejpam-4420	34	18	,	,	PUNCT
ejpam-4420	34	19	x	x	X
ejpam-4420	34	20	>	>	X
ejpam-4420	34	21	0	0	X
ejpam-4420	34	22	.	.	PUNCT
ejpam-4420	34	23	where	where	SCONJ
ejpam-4420	34	24	γ(α	γ(α	PROPN
ejpam-4420	34	25	,	,	PUNCT
ejpam-4420	34	26	λx	λx	PROPN
ejpam-4420	34	27	)	)	PUNCT
ejpam-4420	34	28	is	be	AUX
ejpam-4420	34	29	the	the	DET
ejpam-4420	34	30	lower	low	ADJ
ejpam-4420	34	31	incomplete	incomplete	ADJ
ejpam-4420	34	32	gamma	gamma	NOUN
ejpam-4420	34	33	function	function	NOUN
ejpam-4420	34	34	.	.	PUNCT
ejpam-4420	35	1	there	there	PRON
ejpam-4420	35	2	are	be	VERB
ejpam-4420	35	3	studies	study	NOUN
ejpam-4420	35	4	that	that	PRON
ejpam-4420	35	5	have	have	AUX
ejpam-4420	35	6	used	use	VERB
ejpam-4420	35	7	exponential	exponential	NOUN
ejpam-4420	35	8	,	,	PUNCT
ejpam-4420	35	9	lindley	lindley	NOUN
ejpam-4420	35	10	and	and	CCONJ
ejpam-4420	35	11	gamma	gamma	NOUN
ejpam-4420	35	12	distributions	distribution	NOUN
ejpam-4420	35	13	to	to	PART
ejpam-4420	35	14	be	be	AUX
ejpam-4420	35	15	used	use	VERB
ejpam-4420	35	16	for	for	ADP
ejpam-4420	35	17	modeling	model	VERB
ejpam-4420	35	18	lifetime	lifetime	NOUN
ejpam-4420	35	19	data	datum	NOUN
ejpam-4420	35	20	.	.	PUNCT
ejpam-4420	36	1	a	a	DET
ejpam-4420	36	2	two	two	NUM
ejpam-4420	36	3	-	-	PUNCT
ejpam-4420	36	4	parameter	parameter	NOUN
ejpam-4420	36	5	lindley	lindley	NOUN
ejpam-4420	36	6	distribution	distribution	NOUN
ejpam-4420	36	7	is	be	AUX
ejpam-4420	36	8	proposed	propose	VERB
ejpam-4420	36	9	by	by	ADP
ejpam-4420	36	10	modifying	modify	VERB
ejpam-4420	36	11	the	the	DET
ejpam-4420	36	12	mixing	mix	VERB
ejpam-4420	36	13	weight	weight	NOUN
ejpam-4420	36	14	of	of	ADP
ejpam-4420	36	15	exponential	exponential	NOUN
ejpam-4420	36	16	and	and	CCONJ
ejpam-4420	36	17	gamma	gamma	NOUN
ejpam-4420	37	1	[	[	X
ejpam-4420	37	2	6	6	NUM
ejpam-4420	37	3	,	,	PUNCT
ejpam-4420	37	4	11–16	11–16	NUM
ejpam-4420	37	5	]	]	PUNCT
ejpam-4420	37	6	.	.	PUNCT
ejpam-4420	38	1	they	they	PRON
ejpam-4420	38	2	proposed	propose	VERB
ejpam-4420	38	3	a	a	DET
ejpam-4420	38	4	two	two	NUM
ejpam-4420	38	5	-	-	PUNCT
ejpam-4420	38	6	parameter	parameter	NOUN
ejpam-4420	38	7	distribution	distribution	NOUN
ejpam-4420	38	8	by	by	ADP
ejpam-4420	38	9	modifying	modify	VERB
ejpam-4420	38	10	the	the	DET
ejpam-4420	38	11	mixing	mix	VERB
ejpam-4420	38	12	weight	weight	NOUN
ejpam-4420	38	13	of	of	ADP
ejpam-4420	38	14	exp	exp	NOUN
ejpam-4420	38	15	(	(	PUNCT
ejpam-4420	38	16	θα	θα	NOUN
ejpam-4420	38	17	)	)	PUNCT
ejpam-4420	38	18	and	and	CCONJ
ejpam-4420	38	19	gamma(2	gamma(2	PROPN
ejpam-4420	38	20	,	,	PUNCT
ejpam-4420	38	21	θ	θ	PROPN
ejpam-4420	38	22	α	α	NOUN
ejpam-4420	38	23	)	)	PUNCT
ejpam-4420	38	24	.	.	PUNCT
ejpam-4420	39	1	a	a	DET
ejpam-4420	39	2	continuous	continuous	ADJ
ejpam-4420	39	3	random	random	ADJ
ejpam-4420	39	4	variable	variable	NOUN
ejpam-4420	39	5	x	x	PUNCT
ejpam-4420	39	6	is	be	AUX
ejpam-4420	39	7	called	call	VERB
ejpam-4420	39	8	to	to	PART
ejpam-4420	39	9	have	have	VERB
ejpam-4420	39	10	sushila	sushila	NOUN
ejpam-4420	39	11	distribution	distribution	NOUN
ejpam-4420	39	12	(	(	PUNCT
ejpam-4420	39	13	sd	sd	NOUN
ejpam-4420	39	14	)	)	PUNCT
ejpam-4420	40	1	[	[	X
ejpam-4420	40	2	16	16	NUM
ejpam-4420	40	3	]	]	PUNCT
ejpam-4420	40	4	with	with	ADP
ejpam-4420	40	5	two	two	NUM
ejpam-4420	40	6	parameters	parameter	NOUN
ejpam-4420	40	7	θ	θ	X
ejpam-4420	40	8	>	>	PUNCT
ejpam-4420	40	9	0	0	PUNCT
ejpam-4420	40	10	and	and	CCONJ
ejpam-4420	40	11	α	α	X
ejpam-4420	40	12	>	>	X
ejpam-4420	40	13	0	0	PROPN
ejpam-4420	40	14	,	,	PUNCT
ejpam-4420	40	15	denoted	denote	VERB
ejpam-4420	40	16	by	by	ADP
ejpam-4420	40	17	x	x	PUNCT
ejpam-4420	40	18	∼	∼	NOUN
ejpam-4420	40	19	sd(α	sd(α	NOUN
ejpam-4420	40	20	,	,	PUNCT
ejpam-4420	40	21	θ	θ	NOUN
ejpam-4420	40	22	)	)	PUNCT
ejpam-4420	40	23	.	.	PUNCT
ejpam-4420	41	1	the	the	DET
ejpam-4420	41	2	pdf	pdf	NOUN
ejpam-4420	41	3	of	of	ADP
ejpam-4420	41	4	the	the	DET
ejpam-4420	41	5	distribution	distribution	NOUN
ejpam-4420	41	6	is	be	AUX
ejpam-4420	41	7	given	give	VERB
ejpam-4420	41	8	by	by	ADP
ejpam-4420	41	9	f(x;α	f(x;α	PROPN
ejpam-4420	41	10	,	,	PUNCT
ejpam-4420	41	11	θ	θ	NOUN
ejpam-4420	41	12	)	)	PUNCT
ejpam-4420	41	13	=	=	PUNCT
ejpam-4420	41	14	θ2	θ2	NOUN
ejpam-4420	41	15	α(θ	α(θ	NOUN
ejpam-4420	41	16	+	+	ADP
ejpam-4420	41	17	1	1	NUM
ejpam-4420	41	18	)	)	PUNCT
ejpam-4420	41	19	(	(	PUNCT
ejpam-4420	41	20	1	1	NUM
ejpam-4420	41	21	+	+	CCONJ
ejpam-4420	41	22	x	x	SYM
ejpam-4420	41	23	α	α	NOUN
ejpam-4420	41	24	)	)	PUNCT
ejpam-4420	41	25	e−	e−	PROPN
ejpam-4420	41	26	θ	θ	PROPN
ejpam-4420	42	1	α	α	X
ejpam-4420	42	2	x	x	NOUN
ejpam-4420	42	3	,	,	PUNCT
ejpam-4420	42	4	x	x	PROPN
ejpam-4420	42	5	>	>	X
ejpam-4420	42	6	0	0	X
ejpam-4420	42	7	.	.	PUNCT
ejpam-4420	43	1	its	its	PRON
ejpam-4420	43	2	cdf	cdf	PROPN
ejpam-4420	43	3	is	be	AUX
ejpam-4420	43	4	given	give	VERB
ejpam-4420	43	5	by	by	ADP
ejpam-4420	43	6	f	f	PROPN
ejpam-4420	43	7	(	(	PUNCT
ejpam-4420	43	8	x	x	NOUN
ejpam-4420	43	9	)	)	PUNCT
ejpam-4420	43	10	=	=	SYM
ejpam-4420	43	11	1−	1−	NUM
ejpam-4420	43	12	α(θ	α(θ	NOUN
ejpam-4420	43	13	+	+	CCONJ
ejpam-4420	43	14	1	1	NUM
ejpam-4420	43	15	)	)	PUNCT
ejpam-4420	43	16	+	+	CCONJ
ejpam-4420	43	17	θx	θx	ADP
ejpam-4420	43	18	α(θ	α(θ	NOUN
ejpam-4420	43	19	+	+	ADP
ejpam-4420	43	20	1	1	NUM
ejpam-4420	43	21	)	)	PUNCT
ejpam-4420	43	22	e−	e−	PROPN
ejpam-4420	43	23	θ	θ	PROPN
ejpam-4420	43	24	α	α	X
ejpam-4420	43	25	x	x	NOUN
ejpam-4420	43	26	,	,	PUNCT
ejpam-4420	43	27	x	x	PROPN
ejpam-4420	43	28	>	>	X
ejpam-4420	43	29	0	0	X
ejpam-4420	43	30	.	.	PUNCT
ejpam-4420	44	1	w.	w.	PROPN
ejpam-4420	44	2	ieosanurak	ieosanurak	PROPN
ejpam-4420	44	3	et	et	PROPN
ejpam-4420	44	4	al	al	PROPN
ejpam-4420	44	5	.	.	PUNCT
ejpam-4420	44	6	/	/	SYM
ejpam-4420	44	7	eur	eur	PROPN
ejpam-4420	44	8	.	.	PUNCT
ejpam-4420	45	1	j.	j.	PROPN
ejpam-4420	45	2	pure	pure	PROPN
ejpam-4420	45	3	appl	appl	PROPN
ejpam-4420	45	4	.	.	PROPN
ejpam-4420	45	5	math	math	PROPN
ejpam-4420	45	6	,	,	PUNCT
ejpam-4420	45	7	15	15	NUM
ejpam-4420	45	8	(	(	PUNCT
ejpam-4420	45	9	3	3	NUM
ejpam-4420	45	10	)	)	PUNCT
ejpam-4420	45	11	(	(	PUNCT
ejpam-4420	45	12	2022	2022	NUM
ejpam-4420	45	13	)	)	PUNCT
ejpam-4420	45	14	,	,	PUNCT
ejpam-4420	45	15	1280	1280	NUM
ejpam-4420	45	16	-	-	SYM
ejpam-4420	45	17	1300	1300	NUM
ejpam-4420	45	18	1282	1282	NUM
ejpam-4420	45	19	the	the	DET
ejpam-4420	45	20	pdf	pdf	NOUN
ejpam-4420	45	21	of	of	ADP
ejpam-4420	45	22	sushila	sushila	NOUN
ejpam-4420	45	23	distribution	distribution	NOUN
ejpam-4420	45	24	can	can	AUX
ejpam-4420	45	25	be	be	AUX
ejpam-4420	45	26	shown	show	VERB
ejpam-4420	45	27	as	as	ADP
ejpam-4420	45	28	a	a	DET
ejpam-4420	45	29	mixture	mixture	NOUN
ejpam-4420	45	30	of	of	ADP
ejpam-4420	45	31	exp	exp	NOUN
ejpam-4420	45	32	(	(	PUNCT
ejpam-4420	45	33	θα	θα	NOUN
ejpam-4420	45	34	)	)	PUNCT
ejpam-4420	45	35	and	and	CCONJ
ejpam-4420	45	36	gamma(2	gamma(2	PROPN
ejpam-4420	45	37	,	,	PUNCT
ejpam-4420	45	38	θ	θ	PROPN
ejpam-4420	45	39	α	α	X
ejpam-4420	45	40	)	)	PUNCT
ejpam-4420	45	41	as	as	SCONJ
ejpam-4420	45	42	follows	follow	VERB
ejpam-4420	45	43	:	:	PUNCT
ejpam-4420	46	1	f(x	f(x	PROPN
ejpam-4420	46	2	,	,	PUNCT
ejpam-4420	46	3	α	α	NOUN
ejpam-4420	46	4	,	,	PUNCT
ejpam-4420	46	5	θ	θ	NOUN
ejpam-4420	46	6	)	)	PUNCT
ejpam-4420	46	7	=	=	SYM
ejpam-4420	46	8	pf1(x	pf1(x	NOUN
ejpam-4420	46	9	)	)	PUNCT
ejpam-4420	47	1	+	+	CCONJ
ejpam-4420	47	2	(	(	PUNCT
ejpam-4420	47	3	1−	1−	NUM
ejpam-4420	47	4	p)f2(x	p)f2(x	X
ejpam-4420	47	5	)	)	PUNCT
ejpam-4420	47	6	,	,	PUNCT
ejpam-4420	47	7	where	where	SCONJ
ejpam-4420	47	8	p	p	NOUN
ejpam-4420	47	9	=	=	NOUN
ejpam-4420	47	10	θ	θ	PART
ejpam-4420	47	11	θ	θ	NOUN
ejpam-4420	47	12	+	+	CCONJ
ejpam-4420	47	13	1	1	NUM
ejpam-4420	47	14	,	,	PUNCT
ejpam-4420	47	15	f1(x	f1(x	NUM
ejpam-4420	47	16	)	)	PUNCT
ejpam-4420	47	17	=	=	SYM
ejpam-4420	47	18	θ	θ	NOUN
ejpam-4420	47	19	α	α	NOUN
ejpam-4420	47	20	e−	e−	PROPN
ejpam-4420	47	21	θ	θ	PROPN
ejpam-4420	47	22	α	α	PRON
ejpam-4420	47	23	x	x	NOUN
ejpam-4420	47	24	,	,	PUNCT
ejpam-4420	47	25	and	and	CCONJ
ejpam-4420	47	26	f2(x	f2(x	NUM
ejpam-4420	47	27	)	)	PUNCT
ejpam-4420	47	28	=	=	SYM
ejpam-4420	47	29	θ2	θ2	ADP
ejpam-4420	47	30	α2	α2	PROPN
ejpam-4420	47	31	xe−	xe−	PUNCT
ejpam-4420	48	1	θ	θ	PROPN
ejpam-4420	48	2	α	α	X
ejpam-4420	48	3	x.	x.	NOUN
ejpam-4420	48	4	in	in	ADP
ejpam-4420	48	5	this	this	DET
ejpam-4420	48	6	paper	paper	NOUN
ejpam-4420	48	7	,	,	PUNCT
ejpam-4420	48	8	we	we	PRON
ejpam-4420	48	9	focus	focus	VERB
ejpam-4420	48	10	on	on	ADP
ejpam-4420	48	11	the	the	DET
ejpam-4420	48	12	sushila	sushila	NOUN
ejpam-4420	48	13	distribution	distribution	NOUN
ejpam-4420	48	14	.	.	PUNCT
ejpam-4420	49	1	the	the	DET
ejpam-4420	49	2	distribution	distribution	NOUN
ejpam-4420	49	3	is	be	AUX
ejpam-4420	49	4	mixed	mix	VERB
ejpam-4420	49	5	by	by	ADP
ejpam-4420	49	6	exponential	exponential	NOUN
ejpam-4420	49	7	and	and	CCONJ
ejpam-4420	49	8	gamma	gamma	NOUN
ejpam-4420	49	9	distributions	distribution	NOUN
ejpam-4420	49	10	.	.	PUNCT
ejpam-4420	50	1	sushila	sushila	NOUN
ejpam-4420	50	2	distribution	distribution	NOUN
ejpam-4420	50	3	therefore	therefore	ADV
ejpam-4420	50	4	pays	pay	VERB
ejpam-4420	50	5	attention	attention	NOUN
ejpam-4420	50	6	to	to	ADP
ejpam-4420	50	7	the	the	DET
ejpam-4420	50	8	weight	weight	NOUN
ejpam-4420	50	9	value	value	NOUN
ejpam-4420	50	10	for	for	ADP
ejpam-4420	50	11	exponential	exponential	ADJ
ejpam-4420	50	12	distribution	distribution	NOUN
ejpam-4420	50	13	.	.	PUNCT
ejpam-4420	51	1	notice	notice	VERB
ejpam-4420	51	2	that	that	SCONJ
ejpam-4420	51	3	the	the	DET
ejpam-4420	51	4	gamma	gamma	NOUN
ejpam-4420	51	5	distribution	distribution	NOUN
ejpam-4420	51	6	has	have	VERB
ejpam-4420	51	7	two	two	NUM
ejpam-4420	51	8	parameters	parameter	NOUN
ejpam-4420	51	9	that	that	PRON
ejpam-4420	51	10	provide	provide	VERB
ejpam-4420	51	11	a	a	DET
ejpam-4420	51	12	flexible	flexible	ADJ
ejpam-4420	51	13	model	model	NOUN
ejpam-4420	51	14	to	to	PART
ejpam-4420	51	15	fit	fit	VERB
ejpam-4420	51	16	the	the	DET
ejpam-4420	51	17	reliability	reliability	NOUN
ejpam-4420	51	18	data	datum	NOUN
ejpam-4420	51	19	.	.	PUNCT
ejpam-4420	52	1	for	for	ADP
ejpam-4420	52	2	this	this	DET
ejpam-4420	52	3	reason	reason	NOUN
ejpam-4420	52	4	,	,	PUNCT
ejpam-4420	52	5	we	we	PRON
ejpam-4420	52	6	pay	pay	VERB
ejpam-4420	52	7	attention	attention	NOUN
ejpam-4420	52	8	to	to	ADP
ejpam-4420	52	9	the	the	DET
ejpam-4420	52	10	weight	weight	NOUN
ejpam-4420	52	11	value	value	NOUN
ejpam-4420	52	12	for	for	ADP
ejpam-4420	52	13	gamma	gamma	NOUN
ejpam-4420	52	14	distribution	distribution	NOUN
ejpam-4420	52	15	.	.	PUNCT
ejpam-4420	53	1	the	the	DET
ejpam-4420	53	2	main	main	ADJ
ejpam-4420	53	3	aim	aim	NOUN
ejpam-4420	53	4	of	of	ADP
ejpam-4420	53	5	this	this	DET
ejpam-4420	53	6	paper	paper	NOUN
ejpam-4420	53	7	is	be	AUX
ejpam-4420	53	8	to	to	PART
ejpam-4420	53	9	study	study	VERB
ejpam-4420	53	10	a	a	DET
ejpam-4420	53	11	two	two	NUM
ejpam-4420	53	12	-	-	PUNCT
ejpam-4420	53	13	parameter	parameter	NOUN
ejpam-4420	53	14	(	(	PUNCT
ejpam-4420	53	15	θ	θ	X
ejpam-4420	53	16	>	>	PUNCT
ejpam-4420	53	17	0	0	PUNCT
ejpam-4420	53	18	and	and	CCONJ
ejpam-4420	53	19	α	α	X
ejpam-4420	53	20	>	>	X
ejpam-4420	53	21	0	0	NUM
ejpam-4420	53	22	)	)	PUNCT
ejpam-4420	53	23	continuous	continuous	ADJ
ejpam-4420	53	24	distribution	distribution	NOUN
ejpam-4420	53	25	is	be	AUX
ejpam-4420	53	26	introduced	introduce	VERB
ejpam-4420	53	27	as	as	SCONJ
ejpam-4420	53	28	follows	follow	VERB
ejpam-4420	53	29	:	:	PUNCT
ejpam-4420	53	30	f(x	f(x	PROPN
ejpam-4420	53	31	,	,	PUNCT
ejpam-4420	53	32	α	α	NOUN
ejpam-4420	53	33	,	,	PUNCT
ejpam-4420	53	34	θ	θ	NOUN
ejpam-4420	53	35	)	)	PUNCT
ejpam-4420	53	36	=	=	SYM
ejpam-4420	53	37	(	(	PUNCT
ejpam-4420	53	38	1−	1−	NUM
ejpam-4420	53	39	p)f1(x	p)f1(x	NOUN
ejpam-4420	53	40	)	)	PUNCT
ejpam-4420	53	41	+	+	SYM
ejpam-4420	53	42	pf2(x	pf2(x	NOUN
ejpam-4420	53	43	)	)	PUNCT
ejpam-4420	53	44	.	.	PUNCT
ejpam-4420	54	1	its	its	PRON
ejpam-4420	54	2	cdf	cdf	PROPN
ejpam-4420	54	3	,	,	PUNCT
ejpam-4420	54	4	expected	expect	VERB
ejpam-4420	54	5	value	value	NOUN
ejpam-4420	54	6	,	,	PUNCT
ejpam-4420	54	7	first	first	ADJ
ejpam-4420	54	8	four	four	NUM
ejpam-4420	54	9	moments	moment	NOUN
ejpam-4420	54	10	,	,	PUNCT
ejpam-4420	54	11	and	and	CCONJ
ejpam-4420	54	12	some	some	PRON
ejpam-4420	54	13	of	of	ADP
ejpam-4420	54	14	the	the	DET
ejpam-4420	54	15	related	relate	VERB
ejpam-4420	54	16	measures	measure	NOUN
ejpam-4420	54	17	have	have	AUX
ejpam-4420	54	18	been	be	AUX
ejpam-4420	54	19	proposed	propose	VERB
ejpam-4420	54	20	.	.	PUNCT
ejpam-4420	55	1	the	the	DET
ejpam-4420	55	2	paper	paper	NOUN
ejpam-4420	55	3	is	be	AUX
ejpam-4420	55	4	organized	organize	VERB
ejpam-4420	55	5	as	as	SCONJ
ejpam-4420	55	6	follows	follow	VERB
ejpam-4420	55	7	.	.	PUNCT
ejpam-4420	56	1	we	we	PRON
ejpam-4420	56	2	define	define	VERB
ejpam-4420	56	3	new	new	ADJ
ejpam-4420	56	4	sushila	sushila	NOUN
ejpam-4420	56	5	distribution	distribution	NOUN
ejpam-4420	56	6	and	and	CCONJ
ejpam-4420	56	7	its	its	PRON
ejpam-4420	56	8	properties	property	NOUN
ejpam-4420	56	9	in	in	ADP
ejpam-4420	56	10	section	section	NOUN
ejpam-4420	56	11	2	2	NUM
ejpam-4420	56	12	.	.	PUNCT
ejpam-4420	57	1	the	the	DET
ejpam-4420	57	2	moments	moment	NOUN
ejpam-4420	57	3	,	,	PUNCT
ejpam-4420	57	4	generating	generate	VERB
ejpam-4420	57	5	function	function	NOUN
ejpam-4420	57	6	,	,	PUNCT
ejpam-4420	57	7	and	and	CCONJ
ejpam-4420	57	8	related	related	ADJ
ejpam-4420	57	9	measures	measure	NOUN
ejpam-4420	57	10	are	be	AUX
ejpam-4420	57	11	derived	derive	VERB
ejpam-4420	57	12	in	in	ADP
ejpam-4420	57	13	section	section	NOUN
ejpam-4420	57	14	3	3	NUM
ejpam-4420	57	15	.	.	PUNCT
ejpam-4420	58	1	the	the	DET
ejpam-4420	58	2	reliability	reliability	NOUN
ejpam-4420	58	3	measures	measure	NOUN
ejpam-4420	58	4	,	,	PUNCT
ejpam-4420	58	5	like	like	ADP
ejpam-4420	58	6	survival	survival	NOUN
ejpam-4420	58	7	function	function	NOUN
ejpam-4420	58	8	,	,	PUNCT
ejpam-4420	58	9	hazard	hazard	NOUN
ejpam-4420	58	10	function	function	NOUN
ejpam-4420	58	11	,	,	PUNCT
ejpam-4420	58	12	and	and	CCONJ
ejpam-4420	58	13	mean	mean	VERB
ejpam-4420	58	14	residual	residual	ADJ
ejpam-4420	58	15	life	life	NOUN
ejpam-4420	58	16	function	function	NOUN
ejpam-4420	58	17	for	for	ADP
ejpam-4420	58	18	new	new	ADJ
ejpam-4420	58	19	sushila	sushila	NOUN
ejpam-4420	58	20	distribution	distribution	NOUN
ejpam-4420	58	21	in	in	ADP
ejpam-4420	58	22	section	section	NOUN
ejpam-4420	58	23	4	4	NUM
ejpam-4420	58	24	.	.	NOUN
ejpam-4420	58	25	five	five	NUM
ejpam-4420	58	26	methods	method	NOUN
ejpam-4420	58	27	of	of	ADP
ejpam-4420	58	28	estimation	estimation	NOUN
ejpam-4420	58	29	are	be	AUX
ejpam-4420	58	30	discussed	discuss	VERB
ejpam-4420	58	31	in	in	ADP
ejpam-4420	58	32	section	section	NOUN
ejpam-4420	58	33	5	5	NUM
ejpam-4420	58	34	.	.	PUNCT
ejpam-4420	59	1	the	the	DET
ejpam-4420	59	2	numerical	numerical	PROPN
ejpam-4420	59	3	simulation	simulation	PROPN
ejpam-4420	59	4	and	and	CCONJ
ejpam-4420	59	5	comparison	comparison	NOUN
ejpam-4420	59	6	are	be	AUX
ejpam-4420	59	7	given	give	VERB
ejpam-4420	59	8	to	to	ADP
ejpam-4420	59	9	the	the	DET
ejpam-4420	59	10	proposed	propose	VERB
ejpam-4420	59	11	methods	method	NOUN
ejpam-4420	59	12	in	in	ADP
ejpam-4420	59	13	section	section	NOUN
ejpam-4420	59	14	6	6	NUM
ejpam-4420	59	15	.	.	PUNCT
ejpam-4420	60	1	conclusion	conclusion	NOUN
ejpam-4420	60	2	is	be	AUX
ejpam-4420	60	3	discussed	discuss	VERB
ejpam-4420	60	4	in	in	ADP
ejpam-4420	60	5	section	section	NOUN
ejpam-4420	60	6	7	7	NUM
ejpam-4420	60	7	.	.	NOUN
ejpam-4420	60	8	2	2	NUM
ejpam-4420	60	9	.	.	X
ejpam-4420	61	1	definition	definition	NOUN
ejpam-4420	61	2	and	and	CCONJ
ejpam-4420	61	3	properties	property	NOUN
ejpam-4420	61	4	of	of	ADP
ejpam-4420	61	5	the	the	DET
ejpam-4420	61	6	new	new	ADJ
ejpam-4420	61	7	sushila	sushila	NOUN
ejpam-4420	61	8	distribution	distribution	NOUN
ejpam-4420	61	9	in	in	ADP
ejpam-4420	61	10	this	this	DET
ejpam-4420	61	11	section	section	NOUN
ejpam-4420	61	12	,	,	PUNCT
ejpam-4420	61	13	we	we	PRON
ejpam-4420	61	14	introduce	introduce	VERB
ejpam-4420	61	15	a	a	DET
ejpam-4420	61	16	continuous	continuous	ADJ
ejpam-4420	61	17	distribution	distribution	NOUN
ejpam-4420	61	18	with	with	ADP
ejpam-4420	61	19	two	two	NUM
ejpam-4420	61	20	parameters	parameter	NOUN
ejpam-4420	61	21	α	α	PRON
ejpam-4420	61	22	and	and	CCONJ
ejpam-4420	61	23	θ	θ	PROPN
ejpam-4420	61	24	,	,	PUNCT
ejpam-4420	61	25	called	call	VERB
ejpam-4420	61	26	new	new	ADJ
ejpam-4420	61	27	sushila	sushila	NOUN
ejpam-4420	61	28	distribution	distribution	NOUN
ejpam-4420	61	29	.	.	PUNCT
ejpam-4420	62	1	the	the	DET
ejpam-4420	62	2	pdf	pdf	NOUN
ejpam-4420	62	3	of	of	ADP
ejpam-4420	62	4	new	new	ADJ
ejpam-4420	62	5	sushila	sushila	NOUN
ejpam-4420	62	6	distribution	distribution	NOUN
ejpam-4420	62	7	can	can	AUX
ejpam-4420	62	8	be	be	AUX
ejpam-4420	62	9	shown	show	VERB
ejpam-4420	62	10	as	as	ADP
ejpam-4420	62	11	a	a	DET
ejpam-4420	62	12	mixture	mixture	NOUN
ejpam-4420	62	13	of	of	ADP
ejpam-4420	62	14	exp	exp	NOUN
ejpam-4420	62	15	(	(	PUNCT
ejpam-4420	62	16	θα	θα	NOUN
ejpam-4420	62	17	)	)	PUNCT
ejpam-4420	62	18	and	and	CCONJ
ejpam-4420	62	19	gamma(2	gamma(2	PROPN
ejpam-4420	62	20	,	,	PUNCT
ejpam-4420	62	21	θ	θ	PROPN
ejpam-4420	62	22	α	α	X
ejpam-4420	62	23	)	)	PUNCT
ejpam-4420	62	24	distributions	distribution	NOUN
ejpam-4420	62	25	as	as	SCONJ
ejpam-4420	62	26	follows	follow	VERB
ejpam-4420	62	27	:	:	PUNCT
ejpam-4420	62	28	f(x;α	f(x;α	PROPN
ejpam-4420	62	29	,	,	PUNCT
ejpam-4420	62	30	θ	θ	NOUN
ejpam-4420	62	31	)	)	PUNCT
ejpam-4420	62	32	=	=	SYM
ejpam-4420	62	33	(	(	PUNCT
ejpam-4420	62	34	1−	1−	NUM
ejpam-4420	62	35	p)f1(x	p)f1(x	NOUN
ejpam-4420	62	36	)	)	PUNCT
ejpam-4420	62	37	+	+	SYM
ejpam-4420	62	38	pf2(x	pf2(x	NOUN
ejpam-4420	62	39	)	)	PUNCT
ejpam-4420	62	40	,	,	PUNCT
ejpam-4420	62	41	(	(	PUNCT
ejpam-4420	62	42	1	1	X
ejpam-4420	62	43	)	)	PUNCT
ejpam-4420	62	44	where	where	SCONJ
ejpam-4420	62	45	p	p	NOUN
ejpam-4420	62	46	=	=	NOUN
ejpam-4420	62	47	θ	θ	PART
ejpam-4420	62	48	θ	θ	NOUN
ejpam-4420	63	1	+	+	CCONJ
ejpam-4420	63	2	1	1	NUM
ejpam-4420	63	3	,	,	PUNCT
ejpam-4420	63	4	f1(x	f1(x	NUM
ejpam-4420	63	5	)	)	PUNCT
ejpam-4420	63	6	=	=	SYM
ejpam-4420	64	1	θ	θ	NOUN
ejpam-4420	64	2	α	α	NOUN
ejpam-4420	64	3	e−	e−	PROPN
ejpam-4420	64	4	θ	θ	PROPN
ejpam-4420	64	5	α	α	DET
ejpam-4420	64	6	x	x	NOUN
ejpam-4420	64	7	,	,	PUNCT
ejpam-4420	64	8	and	and	CCONJ
ejpam-4420	64	9	f2(x	f2(x	NUM
ejpam-4420	64	10	)	)	PUNCT
ejpam-4420	65	1	=	=	NOUN
ejpam-4420	65	2	(	(	PUNCT
ejpam-4420	65	3	θ	θ	NOUN
ejpam-4420	65	4	α	α	NOUN
ejpam-4420	65	5	)	)	PUNCT
ejpam-4420	65	6	2	2	NUM
ejpam-4420	65	7	xe−	xe−	NUM
ejpam-4420	65	8	θ	θ	PROPN
ejpam-4420	65	9	α	α	PROPN
ejpam-4420	65	10	x.	x.	NOUN
ejpam-4420	65	11	definition	definition	NOUN
ejpam-4420	65	12	1	1	NUM
ejpam-4420	65	13	.	.	PUNCT
ejpam-4420	66	1	a	a	DET
ejpam-4420	66	2	continuous	continuous	ADJ
ejpam-4420	66	3	random	random	ADJ
ejpam-4420	66	4	variable	variable	NOUN
ejpam-4420	66	5	x	x	PUNCT
ejpam-4420	66	6	is	be	AUX
ejpam-4420	66	7	said	say	VERB
ejpam-4420	66	8	to	to	PART
ejpam-4420	66	9	be	be	AUX
ejpam-4420	66	10	a	a	DET
ejpam-4420	66	11	new	new	ADJ
ejpam-4420	66	12	sushila	sushila	NOUN
ejpam-4420	66	13	distribution	distribution	NOUN
ejpam-4420	66	14	random	random	ADJ
ejpam-4420	66	15	variable	variable	NOUN
ejpam-4420	66	16	with	with	ADP
ejpam-4420	66	17	two	two	NUM
ejpam-4420	66	18	parameters	parameter	NOUN
ejpam-4420	66	19	α	α	PRON
ejpam-4420	66	20	and	and	CCONJ
ejpam-4420	66	21	θ	θ	PROPN
ejpam-4420	66	22	,	,	PUNCT
ejpam-4420	66	23	its	its	PRON
ejpam-4420	66	24	pdf	pdf	NOUN
ejpam-4420	66	25	is	be	AUX
ejpam-4420	66	26	given	give	VERB
ejpam-4420	66	27	by	by	ADP
ejpam-4420	66	28	f(x;α	f(x;α	PROPN
ejpam-4420	66	29	,	,	PUNCT
ejpam-4420	66	30	θ	θ	NOUN
ejpam-4420	66	31	)	)	PUNCT
ejpam-4420	67	1	=	=	SYM
ejpam-4420	67	2	θ(α+	θ(α+	NOUN
ejpam-4420	67	3	θ2x)e−	θ2x)e−	PUNCT
ejpam-4420	67	4	θ	θ	PROPN
ejpam-4420	67	5	α	α	NOUN
ejpam-4420	67	6	x	x	PUNCT
ejpam-4420	68	1	α2(θ	α2(θ	ADJ
ejpam-4420	68	2	+	+	NOUN
ejpam-4420	68	3	1	1	NUM
ejpam-4420	68	4	)	)	PUNCT
ejpam-4420	68	5	,	,	PUNCT
ejpam-4420	68	6	for	for	ADP
ejpam-4420	68	7	all	all	PRON
ejpam-4420	68	8	x	x	SYM
ejpam-4420	68	9	>	>	X
ejpam-4420	68	10	0	0	PROPN
ejpam-4420	68	11	,	,	PUNCT
ejpam-4420	68	12	α	α	NOUN
ejpam-4420	68	13	>	>	X
ejpam-4420	68	14	0	0	PROPN
ejpam-4420	68	15	,	,	PUNCT
ejpam-4420	68	16	θ	θ	PROPN
ejpam-4420	68	17	>	>	X
ejpam-4420	68	18	0	0	NUM
ejpam-4420	68	19	.	.	PUNCT
ejpam-4420	69	1	(	(	PUNCT
ejpam-4420	69	2	2	2	X
ejpam-4420	69	3	)	)	PUNCT
ejpam-4420	69	4	probability	probability	NOUN
ejpam-4420	69	5	plots	plot	NOUN
ejpam-4420	69	6	of	of	ADP
ejpam-4420	69	7	new	new	ADJ
ejpam-4420	69	8	sushila	sushila	NOUN
ejpam-4420	69	9	distribution	distribution	NOUN
ejpam-4420	69	10	are	be	AUX
ejpam-4420	69	11	given	give	VERB
ejpam-4420	69	12	in	in	ADP
ejpam-4420	69	13	figure	figure	NOUN
ejpam-4420	69	14	1	1	NUM
ejpam-4420	69	15	for	for	ADP
ejpam-4420	69	16	particular	particular	ADJ
ejpam-4420	69	17	values	value	NOUN
ejpam-4420	69	18	of	of	ADP
ejpam-4420	69	19	α	α	PROPN
ejpam-4420	69	20	and	and	CCONJ
ejpam-4420	69	21	θ	θ	PROPN
ejpam-4420	69	22	.	.	PROPN
ejpam-4420	69	23	from	from	ADP
ejpam-4420	69	24	figure	figure	NOUN
ejpam-4420	69	25	1	1	NUM
ejpam-4420	69	26	,	,	PUNCT
ejpam-4420	69	27	we	we	PRON
ejpam-4420	69	28	can	can	AUX
ejpam-4420	69	29	see	see	VERB
ejpam-4420	69	30	that	that	SCONJ
ejpam-4420	69	31	new	new	ADJ
ejpam-4420	69	32	sushila	sushila	NOUN
ejpam-4420	69	33	distribution	distribution	NOUN
ejpam-4420	69	34	is	be	AUX
ejpam-4420	69	35	a	a	DET
ejpam-4420	69	36	light	light	ADJ
ejpam-4420	69	37	-	-	PUNCT
ejpam-4420	69	38	tailed	tail	VERB
ejpam-4420	69	39	distribution	distribution	NOUN
ejpam-4420	69	40	and	and	CCONJ
ejpam-4420	69	41	the	the	DET
ejpam-4420	69	42	tail	tail	NOUN
ejpam-4420	69	43	approaches	approach	NOUN
ejpam-4420	69	44	to	to	ADP
ejpam-4420	69	45	zero	zero	NUM
ejpam-4420	69	46	at	at	ADP
ejpam-4420	69	47	a	a	DET
ejpam-4420	69	48	faster	fast	ADJ
ejpam-4420	69	49	rate	rate	NOUN
ejpam-4420	69	50	for	for	ADP
ejpam-4420	69	51	lower	low	ADJ
ejpam-4420	69	52	values	value	NOUN
ejpam-4420	69	53	of	of	ADP
ejpam-4420	69	54	α	α	NOUN
ejpam-4420	69	55	.	.	PUNCT
ejpam-4420	70	1	it	it	PRON
ejpam-4420	70	2	is	be	AUX
ejpam-4420	70	3	w.	w.	PROPN
ejpam-4420	70	4	ieosanurak	ieosanurak	PROPN
ejpam-4420	70	5	et	et	PROPN
ejpam-4420	70	6	al	al	PROPN
ejpam-4420	70	7	.	.	PUNCT
ejpam-4420	70	8	/	/	SYM
ejpam-4420	70	9	eur	eur	PROPN
ejpam-4420	70	10	.	.	PUNCT
ejpam-4420	71	1	j.	j.	PROPN
ejpam-4420	71	2	pure	pure	PROPN
ejpam-4420	71	3	appl	appl	PROPN
ejpam-4420	71	4	.	.	PROPN
ejpam-4420	71	5	math	math	PROPN
ejpam-4420	71	6	,	,	PUNCT
ejpam-4420	71	7	15	15	NUM
ejpam-4420	71	8	(	(	PUNCT
ejpam-4420	71	9	3	3	NUM
ejpam-4420	71	10	)	)	PUNCT
ejpam-4420	71	11	(	(	PUNCT
ejpam-4420	71	12	2022	2022	NUM
ejpam-4420	71	13	)	)	PUNCT
ejpam-4420	71	14	,	,	PUNCT
ejpam-4420	71	15	1280	1280	NUM
ejpam-4420	71	16	-	-	SYM
ejpam-4420	71	17	1300	1300	NUM
ejpam-4420	71	18	1283	1283	NUM
ejpam-4420	71	19	figure	figure	NOUN
ejpam-4420	71	20	1	1	NUM
ejpam-4420	71	21	:	:	PUNCT
ejpam-4420	71	22	plots	plot	NOUN
ejpam-4420	71	23	of	of	ADP
ejpam-4420	71	24	the	the	DET
ejpam-4420	71	25	pdf	pdf	NOUN
ejpam-4420	71	26	of	of	ADP
ejpam-4420	71	27	new	new	ADJ
ejpam-4420	71	28	sushila	sushila	NOUN
ejpam-4420	71	29	distribution	distribution	NOUN
ejpam-4420	71	30	for	for	ADP
ejpam-4420	71	31	various	various	ADJ
ejpam-4420	71	32	parameter	parameter	NOUN
ejpam-4420	71	33	values	value	NOUN
ejpam-4420	71	34	.	.	PUNCT
ejpam-4420	72	1	evident	evident	ADJ
ejpam-4420	72	2	from	from	ADP
ejpam-4420	72	3	the	the	DET
ejpam-4420	72	4	density	density	NOUN
ejpam-4420	72	5	plots	plot	NOUN
ejpam-4420	72	6	of	of	ADP
ejpam-4420	72	7	new	new	ADJ
ejpam-4420	72	8	sushila	sushila	NOUN
ejpam-4420	72	9	distribution	distribution	NOUN
ejpam-4420	72	10	that	that	SCONJ
ejpam-4420	72	11	the	the	DET
ejpam-4420	72	12	distribution	distribution	NOUN
ejpam-4420	72	13	is	be	AUX
ejpam-4420	72	14	most	most	ADV
ejpam-4420	72	15	likely	likely	ADJ
ejpam-4420	72	16	to	to	PART
ejpam-4420	72	17	appropriately	appropriately	ADV
ejpam-4420	72	18	model	model	VERB
ejpam-4420	72	19	those	those	DET
ejpam-4420	72	20	data	datum	NOUN
ejpam-4420	72	21	sets	set	NOUN
ejpam-4420	72	22	where	where	SCONJ
ejpam-4420	72	23	the	the	DET
ejpam-4420	72	24	observations	observation	NOUN
ejpam-4420	72	25	of	of	ADP
ejpam-4420	72	26	lower	low	ADJ
ejpam-4420	72	27	magnitude	magnitude	NOUN
ejpam-4420	72	28	appear	appear	VERB
ejpam-4420	72	29	more	more	ADV
ejpam-4420	72	30	frequently	frequently	ADV
ejpam-4420	72	31	than	than	ADP
ejpam-4420	72	32	that	that	PRON
ejpam-4420	72	33	of	of	ADP
ejpam-4420	72	34	the	the	DET
ejpam-4420	72	35	higher	high	ADJ
ejpam-4420	72	36	magnitude	magnitude	NOUN
ejpam-4420	72	37	values	value	NOUN
ejpam-4420	72	38	.	.	PUNCT
ejpam-4420	73	1	such	such	ADJ
ejpam-4420	73	2	data	data	NOUN
ejpam-4420	73	3	sets	set	NOUN
ejpam-4420	73	4	are	be	AUX
ejpam-4420	73	5	waiting	wait	VERB
ejpam-4420	73	6	time	time	NOUN
ejpam-4420	73	7	,	,	PUNCT
ejpam-4420	73	8	claim	claim	NOUN
ejpam-4420	73	9	and	and	CCONJ
ejpam-4420	73	10	lifetime	lifetime	NOUN
ejpam-4420	73	11	.	.	PUNCT
ejpam-4420	74	1	the	the	DET
ejpam-4420	74	2	first	first	ADJ
ejpam-4420	74	3	derivative	derivative	NOUN
ejpam-4420	74	4	of	of	ADP
ejpam-4420	74	5	equation	equation	NOUN
ejpam-4420	74	6	(	(	PUNCT
ejpam-4420	74	7	2	2	NUM
ejpam-4420	74	8	)	)	PUNCT
ejpam-4420	74	9	with	with	ADP
ejpam-4420	74	10	respect	respect	NOUN
ejpam-4420	74	11	to	to	ADP
ejpam-4420	74	12	x	x	PROPN
ejpam-4420	74	13	is	be	AUX
ejpam-4420	74	14	obtained	obtain	VERB
ejpam-4420	74	15	as	as	ADP
ejpam-4420	74	16	d	d	PROPN
ejpam-4420	74	17	dx	dx	PROPN
ejpam-4420	74	18	f(x;α	f(x;α	PROPN
ejpam-4420	74	19	,	,	PUNCT
ejpam-4420	74	20	θ	θ	NOUN
ejpam-4420	74	21	)	)	PUNCT
ejpam-4420	74	22	=	=	SYM
ejpam-4420	74	23	θ2(αθ	θ2(αθ	PROPN
ejpam-4420	75	1	−	−	NOUN
ejpam-4420	75	2	α−	α−	ADP
ejpam-4420	75	3	θ2x)e−	θ2x)e−	X
ejpam-4420	75	4	θ	θ	PROPN
ejpam-4420	75	5	α	α	X
ejpam-4420	75	6	x	x	X
ejpam-4420	75	7	α3(θ	α3(θ	PROPN
ejpam-4420	75	8	+	+	CCONJ
ejpam-4420	75	9	1	1	NUM
ejpam-4420	75	10	)	)	PUNCT
ejpam-4420	75	11	.	.	PUNCT
ejpam-4420	76	1	(	(	PUNCT
ejpam-4420	76	2	3	3	X
ejpam-4420	76	3	)	)	PUNCT
ejpam-4420	76	4	now	now	ADV
ejpam-4420	76	5	,	,	PUNCT
ejpam-4420	76	6	based	base	VERB
ejpam-4420	76	7	on	on	ADP
ejpam-4420	76	8	equation	equation	NOUN
ejpam-4420	76	9	(	(	PUNCT
ejpam-4420	76	10	3	3	NUM
ejpam-4420	76	11	)	)	PUNCT
ejpam-4420	76	12	,	,	PUNCT
ejpam-4420	76	13	we	we	PRON
ejpam-4420	76	14	obtain	obtain	VERB
ejpam-4420	76	15	,	,	PUNCT
ejpam-4420	76	16	1	1	NUM
ejpam-4420	76	17	.	.	PUNCT
ejpam-4420	76	18	f	f	PROPN
ejpam-4420	76	19	′(x	′(x	PROPN
ejpam-4420	76	20	)	)	PUNCT
ejpam-4420	77	1	=	=	SYM
ejpam-4420	77	2	0	0	PUNCT
ejpam-4420	77	3	gives	give	VERB
ejpam-4420	77	4	x	x	PUNCT
ejpam-4420	77	5	=	=	SYM
ejpam-4420	77	6	α(θ	α(θ	NOUN
ejpam-4420	77	7	−	−	NOUN
ejpam-4420	77	8	1	1	X
ejpam-4420	77	9	)	)	PUNCT
ejpam-4420	77	10	θ2	θ2	ADV
ejpam-4420	77	11	as	as	ADP
ejpam-4420	77	12	the	the	DET
ejpam-4420	77	13	critical	critical	ADJ
ejpam-4420	77	14	point	point	NOUN
ejpam-4420	77	15	.	.	PUNCT
ejpam-4420	78	1	for	for	ADP
ejpam-4420	78	2	θ	θ	PROPN
ejpam-4420	78	3	>	>	X
ejpam-4420	78	4	1	1	NUM
ejpam-4420	78	5	,	,	PUNCT
ejpam-4420	78	6	x0	x0	PROPN
ejpam-4420	78	7	=	=	PUNCT
ejpam-4420	78	8	α(θ	α(θ	NOUN
ejpam-4420	78	9	−	−	NOUN
ejpam-4420	78	10	1	1	X
ejpam-4420	78	11	)	)	PUNCT
ejpam-4420	78	12	θ2	θ2	PROPN
ejpam-4420	78	13	is	be	AUX
ejpam-4420	78	14	the	the	DET
ejpam-4420	78	15	unique	unique	ADJ
ejpam-4420	78	16	critical	critical	ADJ
ejpam-4420	78	17	point	point	NOUN
ejpam-4420	78	18	at	at	ADP
ejpam-4420	78	19	which	which	PRON
ejpam-4420	78	20	f(x	f(x	PROPN
ejpam-4420	78	21	)	)	PUNCT
ejpam-4420	78	22	is	be	AUX
ejpam-4420	78	23	maximum	maximum	ADJ
ejpam-4420	78	24	.	.	NOUN
ejpam-4420	79	1	2	2	NUM
ejpam-4420	79	2	.	.	X
ejpam-4420	79	3	for	for	ADP
ejpam-4420	79	4	θ	θ	PROPN
ejpam-4420	79	5	<	<	X
ejpam-4420	79	6	1	1	NUM
ejpam-4420	79	7	,	,	PUNCT
ejpam-4420	79	8	f	f	PROPN
ejpam-4420	79	9	′(x	′(x	PROPN
ejpam-4420	79	10	)	)	PUNCT
ejpam-4420	79	11	≤	≤	NOUN
ejpam-4420	79	12	0	0	NUM
ejpam-4420	79	13	i.e.	i.e.	X
ejpam-4420	79	14	f(x	f(x	PROPN
ejpam-4420	79	15	)	)	PUNCT
ejpam-4420	79	16	is	be	AUX
ejpam-4420	79	17	decreasing	decrease	VERB
ejpam-4420	79	18	in	in	ADP
ejpam-4420	79	19	x.	x.	NOUN
ejpam-4420	79	20	therefore	therefore	ADV
ejpam-4420	79	21	,	,	PUNCT
ejpam-4420	79	22	the	the	DET
ejpam-4420	79	23	mode	mode	NOUN
ejpam-4420	79	24	of	of	ADP
ejpam-4420	79	25	the	the	DET
ejpam-4420	79	26	distribution	distribution	NOUN
ejpam-4420	79	27	(	(	PUNCT
ejpam-4420	79	28	2	2	X
ejpam-4420	79	29	)	)	PUNCT
ejpam-4420	79	30	is	be	AUX
ejpam-4420	79	31	given	give	VERB
ejpam-4420	79	32	by	by	ADP
ejpam-4420	79	33	mode	mode	NOUN
ejpam-4420	79	34	=	=	SYM
ejpam-4420	79	35			PUNCT
ejpam-4420	79	36	α(θ	α(θ	NOUN
ejpam-4420	79	37	−	−	NOUN
ejpam-4420	79	38	1	1	X
ejpam-4420	79	39	)	)	PUNCT
ejpam-4420	79	40	θ2	θ2	ADV
ejpam-4420	79	41	if	if	SCONJ
ejpam-4420	79	42	θ	θ	PROPN
ejpam-4420	79	43	>	>	X
ejpam-4420	79	44	1	1	NUM
ejpam-4420	79	45	,	,	PUNCT
ejpam-4420	79	46	0	0	NUM
ejpam-4420	80	1	otherwise	otherwise	ADV
ejpam-4420	80	2	.	.	PUNCT
ejpam-4420	81	1	next	next	ADV
ejpam-4420	81	2	,	,	PUNCT
ejpam-4420	81	3	we	we	PRON
ejpam-4420	81	4	obtain	obtain	VERB
ejpam-4420	81	5	the	the	DET
ejpam-4420	81	6	cumulative	cumulative	ADJ
ejpam-4420	81	7	distribution	distribution	NOUN
ejpam-4420	81	8	function	function	NOUN
ejpam-4420	81	9	of	of	ADP
ejpam-4420	81	10	new	new	ADJ
ejpam-4420	81	11	sushila	sushila	NOUN
ejpam-4420	81	12	distribution	distribution	NOUN
ejpam-4420	81	13	as	as	SCONJ
ejpam-4420	81	14	follows	follow	VERB
ejpam-4420	81	15	.	.	PUNCT
ejpam-4420	82	1	theorem	theorem	NOUN
ejpam-4420	82	2	1	1	NUM
ejpam-4420	82	3	.	.	PUNCT
ejpam-4420	83	1	the	the	DET
ejpam-4420	83	2	cumulative	cumulative	ADJ
ejpam-4420	83	3	distribution	distribution	NOUN
ejpam-4420	83	4	function	function	NOUN
ejpam-4420	83	5	(	(	PUNCT
ejpam-4420	83	6	cdf	cdf	PROPN
ejpam-4420	83	7	)	)	PUNCT
ejpam-4420	83	8	of	of	ADP
ejpam-4420	83	9	new	new	ADJ
ejpam-4420	83	10	sushila	sushila	NOUN
ejpam-4420	83	11	distribution	distribution	NOUN
ejpam-4420	83	12	is	be	AUX
ejpam-4420	83	13	given	give	VERB
ejpam-4420	83	14	by	by	ADP
ejpam-4420	83	15	f	f	PROPN
ejpam-4420	83	16	(	(	PUNCT
ejpam-4420	83	17	x	x	NOUN
ejpam-4420	83	18	)	)	PUNCT
ejpam-4420	83	19	=	=	SYM
ejpam-4420	83	20	1−	1−	NUM
ejpam-4420	83	21	(	(	PUNCT
ejpam-4420	83	22	αθ	αθ	NOUN
ejpam-4420	83	23	+	+	X
ejpam-4420	83	24	α+	α+	NOUN
ejpam-4420	83	25	θ2x)e−	θ2x)e−	X
ejpam-4420	83	26	θ	θ	NOUN
ejpam-4420	83	27	α	α	NOUN
ejpam-4420	83	28	x	x	SYM
ejpam-4420	83	29	α(θ	α(θ	NOUN
ejpam-4420	83	30	+	+	ADP
ejpam-4420	83	31	1	1	NUM
ejpam-4420	83	32	)	)	PUNCT
ejpam-4420	83	33	,	,	PUNCT
ejpam-4420	83	34	x	x	X
ejpam-4420	83	35	>	>	X
ejpam-4420	83	36	0	0	PROPN
ejpam-4420	83	37	,	,	PUNCT
ejpam-4420	83	38	θ	θ	PROPN
ejpam-4420	83	39	>	>	X
ejpam-4420	83	40	0	0	PROPN
ejpam-4420	83	41	,	,	PUNCT
ejpam-4420	83	42	α	α	NOUN
ejpam-4420	83	43	>	>	X
ejpam-4420	83	44	0	0	NUM
ejpam-4420	83	45	.	.	PUNCT
ejpam-4420	84	1	(	(	PUNCT
ejpam-4420	84	2	4	4	X
ejpam-4420	84	3	)	)	PUNCT
ejpam-4420	84	4	w.	w.	PROPN
ejpam-4420	84	5	ieosanurak	ieosanurak	PROPN
ejpam-4420	84	6	et	et	PROPN
ejpam-4420	85	1	al	al	PROPN
ejpam-4420	85	2	.	.	PUNCT
ejpam-4420	85	3	/	/	SYM
ejpam-4420	85	4	eur	eur	PROPN
ejpam-4420	85	5	.	.	PUNCT
ejpam-4420	86	1	j.	j.	PROPN
ejpam-4420	86	2	pure	pure	PROPN
ejpam-4420	86	3	appl	appl	PROPN
ejpam-4420	86	4	.	.	PROPN
ejpam-4420	86	5	math	math	PROPN
ejpam-4420	86	6	,	,	PUNCT
ejpam-4420	86	7	15	15	NUM
ejpam-4420	86	8	(	(	PUNCT
ejpam-4420	86	9	3	3	NUM
ejpam-4420	86	10	)	)	PUNCT
ejpam-4420	86	11	(	(	PUNCT
ejpam-4420	86	12	2022	2022	NUM
ejpam-4420	86	13	)	)	PUNCT
ejpam-4420	86	14	,	,	PUNCT
ejpam-4420	86	15	1280	1280	NUM
ejpam-4420	86	16	-	-	SYM
ejpam-4420	86	17	1300	1300	NUM
ejpam-4420	86	18	1284	1284	NUM
ejpam-4420	86	19	proof	proof	NOUN
ejpam-4420	86	20	.	.	PUNCT
ejpam-4420	87	1	for	for	ADP
ejpam-4420	87	2	all	all	PRON
ejpam-4420	87	3	x	x	SYM
ejpam-4420	87	4	>	>	X
ejpam-4420	87	5	0	0	PROPN
ejpam-4420	87	6	,	,	PUNCT
ejpam-4420	87	7	α	α	NOUN
ejpam-4420	87	8	>	>	X
ejpam-4420	87	9	0	0	PUNCT
ejpam-4420	87	10	and	and	CCONJ
ejpam-4420	87	11	θ	θ	PROPN
ejpam-4420	87	12	>	>	X
ejpam-4420	87	13	0	0	NUM
ejpam-4420	87	14	,	,	PUNCT
ejpam-4420	87	15	consider	consider	VERB
ejpam-4420	87	16	f	f	PROPN
ejpam-4420	87	17	(	(	PUNCT
ejpam-4420	87	18	x	x	X
ejpam-4420	87	19	)	)	PUNCT
ejpam-4420	87	20	=	=	SYM
ejpam-4420	87	21	p	p	X
ejpam-4420	87	22	(	(	PUNCT
ejpam-4420	87	23	x	x	PROPN
ejpam-4420	87	24	≤	≤	NUM
ejpam-4420	87	25	x	x	NOUN
ejpam-4420	87	26	)	)	PUNCT
ejpam-4420	87	27	=	=	SYM
ejpam-4420	88	1	1−	1−	NUM
ejpam-4420	88	2	p	p	NOUN
ejpam-4420	88	3	(	(	PUNCT
ejpam-4420	88	4	x	x	X
ejpam-4420	88	5	≥	≥	NUM
ejpam-4420	88	6	x	x	NOUN
ejpam-4420	88	7	)	)	PUNCT
ejpam-4420	88	8	=	=	SYM
ejpam-4420	89	1	1−	1−	NUM
ejpam-4420	89	2	∫	∫	NOUN
ejpam-4420	89	3	∞	∞	NUM
ejpam-4420	89	4	x	x	SYM
ejpam-4420	89	5	θ(α+	θ(α+	NOUN
ejpam-4420	89	6	θ2t)e−	θ2t)e−	NOUN
ejpam-4420	90	1	θ	θ	PROPN
ejpam-4420	90	2	α	α	PROPN
ejpam-4420	90	3	t	t	PROPN
ejpam-4420	90	4	α2(θ	α2(θ	NUM
ejpam-4420	91	1	+	+	ADP
ejpam-4420	91	2	1	1	X
ejpam-4420	91	3	)	)	PUNCT
ejpam-4420	91	4	dt	dt	NOUN
ejpam-4420	92	1	=	=	SYM
ejpam-4420	92	2	1−	1−	NUM
ejpam-4420	92	3	(	(	PUNCT
ejpam-4420	92	4	αθ	αθ	NOUN
ejpam-4420	92	5	+	+	X
ejpam-4420	92	6	α+	α+	NOUN
ejpam-4420	92	7	θ2x)e−	θ2x)e−	X
ejpam-4420	92	8	θ	θ	NOUN
ejpam-4420	92	9	α	α	NOUN
ejpam-4420	92	10	x	x	SYM
ejpam-4420	92	11	α(θ	α(θ	NOUN
ejpam-4420	92	12	+	+	ADP
ejpam-4420	92	13	1	1	NUM
ejpam-4420	92	14	)	)	PUNCT
ejpam-4420	92	15	.	.	PUNCT
ejpam-4420	93	1	the	the	DET
ejpam-4420	93	2	cdf	cdf	PROPN
ejpam-4420	93	3	plots	plot	NOUN
ejpam-4420	93	4	of	of	ADP
ejpam-4420	93	5	new	new	ADJ
ejpam-4420	93	6	sushila	sushila	NOUN
ejpam-4420	93	7	distribution	distribution	NOUN
ejpam-4420	93	8	are	be	AUX
ejpam-4420	93	9	given	give	VERB
ejpam-4420	93	10	in	in	ADP
ejpam-4420	93	11	figure	figure	NOUN
ejpam-4420	93	12	2	2	NUM
ejpam-4420	93	13	for	for	ADP
ejpam-4420	93	14	particular	particular	ADJ
ejpam-4420	93	15	values	value	NOUN
ejpam-4420	93	16	of	of	ADP
ejpam-4420	93	17	α	α	PROPN
ejpam-4420	93	18	and	and	CCONJ
ejpam-4420	93	19	θ	θ	PROPN
ejpam-4420	93	20	.	.	PROPN
ejpam-4420	93	21	figure	figure	NOUN
ejpam-4420	93	22	2	2	NUM
ejpam-4420	93	23	:	:	PUNCT
ejpam-4420	93	24	plots	plot	NOUN
ejpam-4420	93	25	of	of	ADP
ejpam-4420	93	26	the	the	DET
ejpam-4420	93	27	cdf	cdf	PROPN
ejpam-4420	93	28	of	of	ADP
ejpam-4420	93	29	new	new	ADJ
ejpam-4420	93	30	sushila	sushila	NOUN
ejpam-4420	93	31	distribution	distribution	NOUN
ejpam-4420	93	32	for	for	ADP
ejpam-4420	93	33	various	various	ADJ
ejpam-4420	93	34	parameter	parameter	NOUN
ejpam-4420	93	35	values	value	NOUN
ejpam-4420	93	36	.	.	PUNCT
ejpam-4420	94	1	3	3	X
ejpam-4420	94	2	.	.	X
ejpam-4420	94	3	moments	moment	NOUN
ejpam-4420	94	4	,	,	PUNCT
ejpam-4420	94	5	generating	generate	VERB
ejpam-4420	94	6	function	function	NOUN
ejpam-4420	94	7	and	and	CCONJ
ejpam-4420	94	8	related	related	ADJ
ejpam-4420	94	9	measures	measure	NOUN
ejpam-4420	94	10	in	in	ADP
ejpam-4420	94	11	this	this	DET
ejpam-4420	94	12	section	section	NOUN
ejpam-4420	94	13	,	,	PUNCT
ejpam-4420	94	14	we	we	PRON
ejpam-4420	94	15	derive	derive	VERB
ejpam-4420	94	16	the	the	DET
ejpam-4420	94	17	rth	rth	PROPN
ejpam-4420	94	18	moment	moment	NOUN
ejpam-4420	94	19	about	about	ADP
ejpam-4420	94	20	origin	origin	NOUN
ejpam-4420	94	21	,	,	PUNCT
ejpam-4420	94	22	moment	moment	NOUN
ejpam-4420	94	23	generating	generate	VERB
ejpam-4420	94	24	function	function	NOUN
ejpam-4420	94	25	,	,	PUNCT
ejpam-4420	94	26	the	the	DET
ejpam-4420	94	27	coefficient	coefficient	NOUN
ejpam-4420	94	28	of	of	ADP
ejpam-4420	94	29	variation	variation	NOUN
ejpam-4420	94	30	,	,	PUNCT
ejpam-4420	94	31	coefficient	coefficient	NOUN
ejpam-4420	94	32	of	of	ADP
ejpam-4420	94	33	skewness	skewness	NOUN
ejpam-4420	94	34	,	,	PUNCT
ejpam-4420	94	35	and	and	CCONJ
ejpam-4420	94	36	coefficient	coefficient	NOUN
ejpam-4420	94	37	of	of	ADP
ejpam-4420	94	38	kurtosis	kurtosis	NOUN
ejpam-4420	94	39	.	.	PUNCT
ejpam-4420	95	1	theorem	theorem	NOUN
ejpam-4420	95	2	2	2	NUM
ejpam-4420	95	3	.	.	PUNCT
ejpam-4420	96	1	the	the	DET
ejpam-4420	96	2	rth	rth	PROPN
ejpam-4420	96	3	moment	moment	NOUN
ejpam-4420	96	4	about	about	ADP
ejpam-4420	96	5	the	the	DET
ejpam-4420	96	6	origin	origin	NOUN
ejpam-4420	96	7	of	of	ADP
ejpam-4420	96	8	new	new	ADJ
ejpam-4420	96	9	sushila	sushila	NOUN
ejpam-4420	96	10	distribution	distribution	NOUN
ejpam-4420	96	11	is	be	AUX
ejpam-4420	96	12	defined	define	VERB
ejpam-4420	96	13	by	by	ADP
ejpam-4420	96	14	,	,	PUNCT
ejpam-4420	96	15	µ′	µ′	NOUN
ejpam-4420	96	16	r	r	NOUN
ejpam-4420	96	17	=	=	SYM
ejpam-4420	96	18	r!αr[(r	r!αr[(r	PROPN
ejpam-4420	96	19	+	+	CCONJ
ejpam-4420	96	20	1)θ	1)θ	NUM
ejpam-4420	97	1	+	+	CCONJ
ejpam-4420	97	2	1	1	NUM
ejpam-4420	97	3	]	]	PUNCT
ejpam-4420	97	4	θr(θ	θr(θ	VERB
ejpam-4420	98	1	+	+	CCONJ
ejpam-4420	98	2	1	1	NUM
ejpam-4420	98	3	)	)	PUNCT
ejpam-4420	98	4	,	,	PUNCT
ejpam-4420	98	5	r	r	NOUN
ejpam-4420	98	6	=	=	SYM
ejpam-4420	98	7	1	1	NUM
ejpam-4420	98	8	,	,	PUNCT
ejpam-4420	98	9	2	2	NUM
ejpam-4420	98	10	,	,	PUNCT
ejpam-4420	98	11	3	3	NUM
ejpam-4420	98	12	,	,	PUNCT
ejpam-4420	98	13	.	.	PUNCT
ejpam-4420	98	14	.	.	PUNCT
ejpam-4420	98	15	.	.	PUNCT
ejpam-4420	99	1	.	.	PUNCT
ejpam-4420	100	1	proof	proof	NOUN
ejpam-4420	100	2	.	.	PUNCT
ejpam-4420	101	1	by	by	ADP
ejpam-4420	101	2	definition	definition	NOUN
ejpam-4420	101	3	,	,	PUNCT
ejpam-4420	101	4	for	for	ADP
ejpam-4420	101	5	r	r	NOUN
ejpam-4420	101	6	=	=	SYM
ejpam-4420	101	7	1	1	NUM
ejpam-4420	101	8	,	,	PUNCT
ejpam-4420	101	9	2	2	NUM
ejpam-4420	101	10	,	,	PUNCT
ejpam-4420	101	11	.	.	PUNCT
ejpam-4420	101	12	.	.	PUNCT
ejpam-4420	101	13	.	.	PUNCT
ejpam-4420	102	1	,	,	PUNCT
ejpam-4420	102	2	the	the	DET
ejpam-4420	102	3	moment	moment	NOUN
ejpam-4420	102	4	about	about	ADP
ejpam-4420	102	5	origin	origin	NOUN
ejpam-4420	102	6	,	,	PUNCT
ejpam-4420	102	7	µ′	µ′	PUNCT
ejpam-4420	102	8	r	r	NOUN
ejpam-4420	102	9	is	be	AUX
ejpam-4420	102	10	obtained	obtain	VERB
ejpam-4420	102	11	as	as	ADP
ejpam-4420	102	12	,	,	PUNCT
ejpam-4420	102	13	µ′	µ′	NOUN
ejpam-4420	102	14	r	r	NOUN
ejpam-4420	102	15	=	=	SYM
ejpam-4420	102	16	e[xr	e[xr	PROPN
ejpam-4420	102	17	]	]	X
ejpam-4420	102	18	=	=	SYM
ejpam-4420	103	1	∫	∫	PROPN
ejpam-4420	103	2	∞	∞	PROPN
ejpam-4420	103	3	0	0	NUM
ejpam-4420	104	1	xr	xr	PROPN
ejpam-4420	104	2	θ(α+	θ(α+	NOUN
ejpam-4420	104	3	θ2x)e−	θ2x)e−	PUNCT
ejpam-4420	104	4	θ	θ	PROPN
ejpam-4420	104	5	α	α	NOUN
ejpam-4420	104	6	x	x	PUNCT
ejpam-4420	104	7	α2(θ	α2(θ	ADJ
ejpam-4420	104	8	+	+	NOUN
ejpam-4420	104	9	1	1	X
ejpam-4420	104	10	)	)	PUNCT
ejpam-4420	104	11	dx	dx	PROPN
ejpam-4420	104	12	w.	w.	PROPN
ejpam-4420	104	13	ieosanurak	ieosanurak	PROPN
ejpam-4420	104	14	et	et	PROPN
ejpam-4420	105	1	al	al	PROPN
ejpam-4420	105	2	.	.	PUNCT
ejpam-4420	105	3	/	/	SYM
ejpam-4420	105	4	eur	eur	PROPN
ejpam-4420	105	5	.	.	PUNCT
ejpam-4420	106	1	j.	j.	PROPN
ejpam-4420	106	2	pure	pure	PROPN
ejpam-4420	106	3	appl	appl	PROPN
ejpam-4420	106	4	.	.	PROPN
ejpam-4420	106	5	math	math	PROPN
ejpam-4420	106	6	,	,	PUNCT
ejpam-4420	106	7	15	15	NUM
ejpam-4420	106	8	(	(	PUNCT
ejpam-4420	106	9	3	3	NUM
ejpam-4420	106	10	)	)	PUNCT
ejpam-4420	106	11	(	(	PUNCT
ejpam-4420	106	12	2022	2022	NUM
ejpam-4420	106	13	)	)	PUNCT
ejpam-4420	106	14	,	,	PUNCT
ejpam-4420	106	15	1280	1280	NUM
ejpam-4420	106	16	-	-	SYM
ejpam-4420	106	17	1300	1300	NUM
ejpam-4420	106	18	1285	1285	NUM
ejpam-4420	106	19	=	=	SYM
ejpam-4420	106	20	θ	θ	SYM
ejpam-4420	106	21	α2(θ	α2(θ	PROPN
ejpam-4420	107	1	+	+	NOUN
ejpam-4420	107	2	1	1	X
ejpam-4420	107	3	)	)	PUNCT
ejpam-4420	108	1	[	[	X
ejpam-4420	108	2	∫	∫	X
ejpam-4420	108	3	∞	∞	NUM
ejpam-4420	108	4	0	0	NUM
ejpam-4420	108	5	αxre−	αxre−	NOUN
ejpam-4420	108	6	θ	θ	NOUN
ejpam-4420	108	7	α	α	NOUN
ejpam-4420	108	8	x	x	X
ejpam-4420	108	9	dx+	dx+	NOUN
ejpam-4420	108	10	θ3	θ3	PROPN
ejpam-4420	108	11	∫	∫	PROPN
ejpam-4420	108	12	∞	∞	PROPN
ejpam-4420	108	13	0	0	NUM
ejpam-4420	109	1	xr+1e−	xr+1e−	NUM
ejpam-4420	109	2	θ	θ	PROPN
ejpam-4420	110	1	α	α	PROPN
ejpam-4420	110	2	x	x	X
ejpam-4420	110	3	dx	dx	PROPN
ejpam-4420	110	4	]	]	PUNCT
ejpam-4420	111	1	=	=	PUNCT
ejpam-4420	111	2	θ	θ	X
ejpam-4420	111	3	α2(θ	α2(θ	PROPN
ejpam-4420	112	1	+	+	NOUN
ejpam-4420	112	2	1	1	X
ejpam-4420	112	3	)	)	PUNCT
ejpam-4420	112	4	[	[	PUNCT
ejpam-4420	112	5	α	α	NOUN
ejpam-4420	112	6	∫	∫	PROPN
ejpam-4420	112	7	∞	∞	PROPN
ejpam-4420	112	8	0	0	NUM
ejpam-4420	113	1	(	(	PUNCT
ejpam-4420	113	2	xθ	xθ	PROPN
ejpam-4420	113	3	α	α	NOUN
ejpam-4420	113	4	)	)	PUNCT
ejpam-4420	113	5	r	r	NOUN
ejpam-4420	113	6	(	(	PUNCT
ejpam-4420	113	7	α	α	NOUN
ejpam-4420	113	8	θ	θ	NOUN
ejpam-4420	113	9	)	)	PUNCT
ejpam-4420	114	1	r	r	NOUN
ejpam-4420	114	2	e−	e−	PROPN
ejpam-4420	114	3	θ	θ	NOUN
ejpam-4420	114	4	α	α	PRON
ejpam-4420	114	5	x	x	X
ejpam-4420	114	6	dx+	dx+	NOUN
ejpam-4420	114	7	θ3	θ3	PROPN
ejpam-4420	114	8	∫	∫	PROPN
ejpam-4420	114	9	∞	∞	PROPN
ejpam-4420	114	10	0	0	NUM
ejpam-4420	115	1	(	(	PUNCT
ejpam-4420	115	2	xθ	xθ	PROPN
ejpam-4420	115	3	α	α	PROPN
ejpam-4420	115	4	)	)	PUNCT
ejpam-4420	115	5	r+1	r+1	PROPN
ejpam-4420	115	6	(	(	PUNCT
ejpam-4420	115	7	α	α	NOUN
ejpam-4420	115	8	θ	θ	NOUN
ejpam-4420	115	9	)	)	PUNCT
ejpam-4420	116	1	e−	e−	PROPN
ejpam-4420	116	2	θ	θ	PROPN
ejpam-4420	116	3	α	α	X
ejpam-4420	116	4	x	x	X
ejpam-4420	116	5	dx	dx	PROPN
ejpam-4420	116	6	]	]	PUNCT
ejpam-4420	116	7	=	=	SYM
ejpam-4420	116	8	1	1	NUM
ejpam-4420	116	9	α(θ	α(θ	NOUN
ejpam-4420	116	10	+	+	ADP
ejpam-4420	116	11	1	1	NUM
ejpam-4420	116	12	)	)	PUNCT
ejpam-4420	116	13	(	(	PUNCT
ejpam-4420	116	14	αr+1	αr+1	NUM
ejpam-4420	116	15	θr	θr	NOUN
ejpam-4420	116	16	γ(r	γ(r	PROPN
ejpam-4420	116	17	+	+	CCONJ
ejpam-4420	116	18	1	1	X
ejpam-4420	116	19	)	)	PUNCT
ejpam-4420	116	20	+	+	SYM
ejpam-4420	116	21	αr+1	αr+1	NUM
ejpam-4420	116	22	θr−2	θr−2	INTJ
ejpam-4420	116	23	γ(r	γ(r	PROPN
ejpam-4420	116	24	+	+	CCONJ
ejpam-4420	116	25	2	2	NUM
ejpam-4420	116	26	)	)	PUNCT
ejpam-4420	116	27	)	)	PUNCT
ejpam-4420	117	1	=	=	SYM
ejpam-4420	117	2	αr+1	αr+1	NUM
ejpam-4420	117	3	α(θ	α(θ	NOUN
ejpam-4420	117	4	+	+	CCONJ
ejpam-4420	117	5	1	1	NUM
ejpam-4420	117	6	)	)	PUNCT
ejpam-4420	117	7	(	(	PUNCT
ejpam-4420	117	8	r	r	X
ejpam-4420	117	9	!	!	PUNCT
ejpam-4420	117	10	θr	θr	PRON
ejpam-4420	118	1	+	+	NOUN
ejpam-4420	118	2	1	1	NUM
ejpam-4420	118	3	θr−2	θr−2	NOUN
ejpam-4420	118	4	(	(	PUNCT
ejpam-4420	118	5	r	r	NOUN
ejpam-4420	118	6	+	+	NOUN
ejpam-4420	118	7	1	1	NUM
ejpam-4420	118	8	)	)	PUNCT
ejpam-4420	118	9	!	!	PUNCT
ejpam-4420	118	10	)	)	PUNCT
ejpam-4420	119	1	=	=	PUNCT
ejpam-4420	119	2	r!αr[(r	r!αr[(r	ADJ
ejpam-4420	119	3	+	+	CCONJ
ejpam-4420	119	4	1)θ	1)θ	NUM
ejpam-4420	120	1	+	+	CCONJ
ejpam-4420	120	2	1	1	NUM
ejpam-4420	120	3	]	]	PUNCT
ejpam-4420	120	4	θr(θ	θr(θ	VERB
ejpam-4420	121	1	+	+	CCONJ
ejpam-4420	121	2	1	1	NUM
ejpam-4420	121	3	)	)	PUNCT
ejpam-4420	121	4	.	.	PUNCT
ejpam-4420	122	1	the	the	DET
ejpam-4420	122	2	first	first	ADJ
ejpam-4420	122	3	four	four	NUM
ejpam-4420	122	4	moments	moment	NOUN
ejpam-4420	122	5	about	about	ADP
ejpam-4420	122	6	origin	origin	NOUN
ejpam-4420	122	7	of	of	ADP
ejpam-4420	122	8	new	new	ADJ
ejpam-4420	122	9	sushila	sushila	NOUN
ejpam-4420	122	10	distribution	distribution	NOUN
ejpam-4420	122	11	can	can	AUX
ejpam-4420	122	12	be	be	AUX
ejpam-4420	122	13	obtained	obtain	VERB
ejpam-4420	122	14	as	as	ADP
ejpam-4420	122	15	:	:	PUNCT
ejpam-4420	122	16	µ′	µ′	NOUN
ejpam-4420	122	17	1	1	NUM
ejpam-4420	122	18	=	=	SYM
ejpam-4420	122	19	α(2θ	α(2θ	NUM
ejpam-4420	122	20	+	+	NOUN
ejpam-4420	122	21	1	1	NUM
ejpam-4420	122	22	)	)	PUNCT
ejpam-4420	122	23	θ(θ	θ(θ	VERB
ejpam-4420	122	24	+	+	NOUN
ejpam-4420	122	25	1	1	NUM
ejpam-4420	122	26	)	)	PUNCT
ejpam-4420	122	27	,	,	PUNCT
ejpam-4420	122	28	µ′	µ′	NOUN
ejpam-4420	122	29	2	2	NUM
ejpam-4420	122	30	=	=	SYM
ejpam-4420	122	31	2α2(3θ	2α2(3θ	NUM
ejpam-4420	122	32	+	+	CCONJ
ejpam-4420	122	33	1	1	NUM
ejpam-4420	122	34	)	)	PUNCT
ejpam-4420	122	35	θ2(θ	θ2(θ	PUNCT
ejpam-4420	123	1	+	+	NOUN
ejpam-4420	123	2	1	1	NUM
ejpam-4420	123	3	)	)	PUNCT
ejpam-4420	123	4	,	,	PUNCT
ejpam-4420	123	5	µ′	µ′	NOUN
ejpam-4420	123	6	3	3	NUM
ejpam-4420	123	7	=	=	SYM
ejpam-4420	123	8	6α3(4θ	6α3(4θ	NOUN
ejpam-4420	123	9	+	+	CCONJ
ejpam-4420	123	10	1	1	X
ejpam-4420	123	11	)	)	PUNCT
ejpam-4420	123	12	θ3(θ	θ3(θ	NOUN
ejpam-4420	123	13	+	+	NOUN
ejpam-4420	123	14	1	1	NUM
ejpam-4420	123	15	)	)	PUNCT
ejpam-4420	123	16	,	,	PUNCT
ejpam-4420	123	17	µ′	µ′	NOUN
ejpam-4420	123	18	4	4	NUM
ejpam-4420	123	19	=	=	SYM
ejpam-4420	123	20	24α4(5θ	24α4(5θ	NUM
ejpam-4420	123	21	+	+	CCONJ
ejpam-4420	123	22	1	1	X
ejpam-4420	123	23	)	)	PUNCT
ejpam-4420	123	24	θ4(θ	θ4(θ	NOUN
ejpam-4420	123	25	+	+	NOUN
ejpam-4420	123	26	1	1	NUM
ejpam-4420	123	27	)	)	PUNCT
ejpam-4420	123	28	.	.	PUNCT
ejpam-4420	124	1	in	in	ADP
ejpam-4420	124	2	particular	particular	ADJ
ejpam-4420	124	3	,	,	PUNCT
ejpam-4420	124	4	the	the	DET
ejpam-4420	124	5	1st	1st	ADJ
ejpam-4420	124	6	moment	moment	NOUN
ejpam-4420	124	7	about	about	ADP
ejpam-4420	124	8	origin	origin	NOUN
ejpam-4420	124	9	take	take	VERB
ejpam-4420	124	10	the	the	DET
ejpam-4420	124	11	form	form	NOUN
ejpam-4420	124	12	,	,	PUNCT
ejpam-4420	124	13	µ	µ	NOUN
ejpam-4420	124	14	=	=	SYM
ejpam-4420	124	15	e[x	e[x	NOUN
ejpam-4420	124	16	]	]	X
ejpam-4420	124	17	=	=	SYM
ejpam-4420	124	18	α(2θ	α(2θ	NUM
ejpam-4420	124	19	+	+	NOUN
ejpam-4420	124	20	1	1	NUM
ejpam-4420	124	21	)	)	PUNCT
ejpam-4420	124	22	θ(θ	θ(θ	VERB
ejpam-4420	124	23	+	+	NOUN
ejpam-4420	124	24	1	1	NUM
ejpam-4420	124	25	)	)	PUNCT
ejpam-4420	124	26	.	.	PUNCT
ejpam-4420	125	1	using	use	VERB
ejpam-4420	125	2	the	the	DET
ejpam-4420	125	3	relationship	relationship	NOUN
ejpam-4420	125	4	between	between	ADP
ejpam-4420	125	5	moments	moment	NOUN
ejpam-4420	125	6	about	about	ADP
ejpam-4420	125	7	mean	mean	VERB
ejpam-4420	125	8	and	and	CCONJ
ejpam-4420	125	9	the	the	DET
ejpam-4420	125	10	moments	moment	NOUN
ejpam-4420	125	11	about	about	ADP
ejpam-4420	125	12	the	the	DET
ejpam-4420	125	13	origin	origin	NOUN
ejpam-4420	125	14	,	,	PUNCT
ejpam-4420	125	15	we	we	PRON
ejpam-4420	125	16	have	have	VERB
ejpam-4420	125	17	the	the	DET
ejpam-4420	125	18	moment	moment	NOUN
ejpam-4420	125	19	about	about	ADV
ejpam-4420	125	20	mean	mean	VERB
ejpam-4420	125	21	as	as	ADP
ejpam-4420	125	22	the	the	DET
ejpam-4420	125	23	following	follow	VERB
ejpam-4420	125	24	theorem	theorem	NOUN
ejpam-4420	125	25	.	.	PUNCT
ejpam-4420	125	26	theorem	theorem	NOUN
ejpam-4420	125	27	3	3	NUM
ejpam-4420	125	28	.	.	PUNCT
ejpam-4420	126	1	the	the	DET
ejpam-4420	126	2	first	first	ADJ
ejpam-4420	126	3	four	four	NUM
ejpam-4420	126	4	moments	moment	NOUN
ejpam-4420	126	5	about	about	ADP
ejpam-4420	126	6	mean	mean	NOUN
ejpam-4420	126	7	of	of	ADP
ejpam-4420	126	8	new	new	ADJ
ejpam-4420	126	9	sushila	sushila	NOUN
ejpam-4420	126	10	distribution	distribution	NOUN
ejpam-4420	126	11	is	be	AUX
ejpam-4420	126	12	defined	define	VERB
ejpam-4420	126	13	by	by	ADP
ejpam-4420	126	14	,	,	PUNCT
ejpam-4420	126	15	µ2	µ2	PROPN
ejpam-4420	126	16	=	=	PUNCT
ejpam-4420	126	17	α2(2θ2	α2(2θ2	NOUN
ejpam-4420	126	18	+	+	CCONJ
ejpam-4420	126	19	4θ	4θ	NOUN
ejpam-4420	126	20	+	+	CCONJ
ejpam-4420	126	21	1	1	X
ejpam-4420	126	22	)	)	PUNCT
ejpam-4420	126	23	θ2(θ	θ2(θ	PROPN
ejpam-4420	127	1	+	+	NUM
ejpam-4420	127	2	1)2	1)2	NUM
ejpam-4420	127	3	,	,	PUNCT
ejpam-4420	127	4	µ3	µ3	NOUN
ejpam-4420	127	5	=	=	SYM
ejpam-4420	127	6	2α3(2θ3	2α3(2θ3	NUM
ejpam-4420	128	1	+	+	NUM
ejpam-4420	128	2	6θ2	6θ2	NUM
ejpam-4420	128	3	+	+	NUM
ejpam-4420	128	4	6θ	6θ	NUM
ejpam-4420	128	5	+	+	CCONJ
ejpam-4420	128	6	1	1	X
ejpam-4420	128	7	)	)	PUNCT
ejpam-4420	128	8	θ3(θ	θ3(θ	NOUN
ejpam-4420	128	9	+	+	CCONJ
ejpam-4420	128	10	1)3	1)3	NUM
ejpam-4420	128	11	,	,	PUNCT
ejpam-4420	128	12	µ4	µ4	PROPN
ejpam-4420	128	13	=	=	SYM
ejpam-4420	128	14	3α4(8θ4	3α4(8θ4	PROPN
ejpam-4420	128	15	+	+	NOUN
ejpam-4420	129	1	32θ3	32θ3	NUM
ejpam-4420	129	2	+	+	NUM
ejpam-4420	129	3	44θ2	44θ2	NUM
ejpam-4420	129	4	+	+	NUM
ejpam-4420	129	5	24θ	24θ	NOUN
ejpam-4420	129	6	+	+	CCONJ
ejpam-4420	129	7	3	3	X
ejpam-4420	129	8	)	)	PUNCT
ejpam-4420	129	9	θ4(θ	θ4(θ	NOUN
ejpam-4420	130	1	+	+	CCONJ
ejpam-4420	130	2	1)4	1)4	NUM
ejpam-4420	130	3	.	.	PUNCT
ejpam-4420	131	1	proof	proof	NOUN
ejpam-4420	131	2	.	.	PUNCT
ejpam-4420	132	1	for	for	SCONJ
ejpam-4420	132	2	x	x	SYM
ejpam-4420	132	3	>	>	X
ejpam-4420	132	4	0	0	PROPN
ejpam-4420	132	5	,	,	PUNCT
ejpam-4420	132	6	α	α	NOUN
ejpam-4420	132	7	>	>	X
ejpam-4420	132	8	0	0	PUNCT
ejpam-4420	132	9	and	and	CCONJ
ejpam-4420	132	10	θ	θ	X
ejpam-4420	132	11	>	>	X
ejpam-4420	132	12	0	0	X
ejpam-4420	132	13	.	.	PUNCT
ejpam-4420	132	14	consider	consider	VERB
ejpam-4420	132	15	µ2	µ2	PROPN
ejpam-4420	132	16	=	=	SYM
ejpam-4420	132	17	e[(x	e[(x	PROPN
ejpam-4420	132	18	−	−	PROPN
ejpam-4420	132	19	µ)2	µ)2	NOUN
ejpam-4420	132	20	]	]	X
ejpam-4420	133	1	=	=	PUNCT
ejpam-4420	133	2	e[x2]−	e[x2]−	PROPN
ejpam-4420	133	3	µ2	µ2	PROPN
ejpam-4420	133	4	=	=	SYM
ejpam-4420	133	5	2α2(3θ	2α2(3θ	PROPN
ejpam-4420	133	6	+	+	CCONJ
ejpam-4420	133	7	1	1	NUM
ejpam-4420	133	8	)	)	PUNCT
ejpam-4420	133	9	θ2(θ	θ2(θ	PUNCT
ejpam-4420	134	1	+	+	NOUN
ejpam-4420	134	2	1	1	NUM
ejpam-4420	134	3	)	)	PUNCT
ejpam-4420	134	4	−	−	PROPN
ejpam-4420	134	5	(	(	PUNCT
ejpam-4420	134	6	α(2θ	α(2θ	NUM
ejpam-4420	134	7	+	+	NOUN
ejpam-4420	134	8	1	1	NUM
ejpam-4420	134	9	)	)	PUNCT
ejpam-4420	134	10	θ(θ	θ(θ	VERB
ejpam-4420	134	11	+	+	NOUN
ejpam-4420	134	12	1	1	NUM
ejpam-4420	134	13	)	)	PUNCT
ejpam-4420	134	14	)	)	PUNCT
ejpam-4420	134	15	2	2	NUM
ejpam-4420	134	16	w.	w.	PROPN
ejpam-4420	134	17	ieosanurak	ieosanurak	PROPN
ejpam-4420	134	18	et	et	PROPN
ejpam-4420	134	19	al	al	PROPN
ejpam-4420	134	20	.	.	PUNCT
ejpam-4420	134	21	/	/	SYM
ejpam-4420	134	22	eur	eur	PROPN
ejpam-4420	134	23	.	.	PUNCT
ejpam-4420	135	1	j.	j.	PROPN
ejpam-4420	135	2	pure	pure	PROPN
ejpam-4420	135	3	appl	appl	PROPN
ejpam-4420	135	4	.	.	PROPN
ejpam-4420	135	5	math	math	PROPN
ejpam-4420	135	6	,	,	PUNCT
ejpam-4420	135	7	15	15	NUM
ejpam-4420	135	8	(	(	PUNCT
ejpam-4420	135	9	3	3	NUM
ejpam-4420	135	10	)	)	PUNCT
ejpam-4420	135	11	(	(	PUNCT
ejpam-4420	135	12	2022	2022	NUM
ejpam-4420	135	13	)	)	PUNCT
ejpam-4420	135	14	,	,	PUNCT
ejpam-4420	135	15	1280	1280	NUM
ejpam-4420	135	16	-	-	SYM
ejpam-4420	135	17	1300	1300	NUM
ejpam-4420	135	18	1286	1286	NUM
ejpam-4420	135	19	=	=	SYM
ejpam-4420	135	20	α2(2θ2	α2(2θ2	NOUN
ejpam-4420	135	21	+	+	CCONJ
ejpam-4420	135	22	4θ	4θ	NOUN
ejpam-4420	135	23	+	+	CCONJ
ejpam-4420	135	24	1	1	X
ejpam-4420	135	25	)	)	PUNCT
ejpam-4420	135	26	θ2(θ	θ2(θ	PROPN
ejpam-4420	136	1	+	+	NUM
ejpam-4420	136	2	1)2	1)2	NUM
ejpam-4420	136	3	,	,	PUNCT
ejpam-4420	136	4	µ3	µ3	NOUN
ejpam-4420	136	5	=	=	PUNCT
ejpam-4420	136	6	e[x3]−	e[x3]−	PROPN
ejpam-4420	136	7	3µe[x2	3µe[x2	NUM
ejpam-4420	136	8	]	]	X
ejpam-4420	136	9	+	+	CCONJ
ejpam-4420	136	10	2µ3	2µ3	NUM
ejpam-4420	136	11	=	=	SYM
ejpam-4420	136	12	2α2(3θ	2α2(3θ	NUM
ejpam-4420	136	13	+	+	CCONJ
ejpam-4420	136	14	1	1	NUM
ejpam-4420	136	15	)	)	PUNCT
ejpam-4420	136	16	θ2(θ	θ2(θ	PUNCT
ejpam-4420	137	1	+	+	NOUN
ejpam-4420	137	2	1	1	NUM
ejpam-4420	137	3	)	)	PUNCT
ejpam-4420	137	4	−	−	PROPN
ejpam-4420	137	5	3	3	NUM
ejpam-4420	137	6	α(2θ	α(2θ	NUM
ejpam-4420	137	7	+	+	NOUN
ejpam-4420	137	8	1	1	NUM
ejpam-4420	137	9	)	)	PUNCT
ejpam-4420	137	10	θ(θ	θ(θ	VERB
ejpam-4420	137	11	+	+	NOUN
ejpam-4420	137	12	1	1	NUM
ejpam-4420	137	13	)	)	PUNCT
ejpam-4420	137	14	[	[	PUNCT
ejpam-4420	137	15	2α2(3θ	2α2(3θ	NOUN
ejpam-4420	137	16	+	+	CCONJ
ejpam-4420	137	17	1	1	NUM
ejpam-4420	137	18	)	)	PUNCT
ejpam-4420	137	19	θ2(θ	θ2(θ	PUNCT
ejpam-4420	138	1	+	+	NOUN
ejpam-4420	138	2	1	1	NUM
ejpam-4420	138	3	)	)	PUNCT
ejpam-4420	138	4	]	]	PUNCT
ejpam-4420	139	1	+	+	CCONJ
ejpam-4420	139	2	2	2	NUM
ejpam-4420	139	3	[	[	PUNCT
ejpam-4420	139	4	α(2θ	α(2θ	NUM
ejpam-4420	139	5	+	+	NOUN
ejpam-4420	139	6	1	1	NUM
ejpam-4420	139	7	)	)	PUNCT
ejpam-4420	139	8	θ(θ	θ(θ	VERB
ejpam-4420	139	9	+	+	NOUN
ejpam-4420	139	10	1	1	NUM
ejpam-4420	139	11	)	)	PUNCT
ejpam-4420	139	12	]	]	PUNCT
ejpam-4420	139	13	3	3	X
ejpam-4420	139	14	=	=	SYM
ejpam-4420	139	15	2α3(2θ3	2α3(2θ3	NUM
ejpam-4420	139	16	+	+	NUM
ejpam-4420	139	17	6θ2	6θ2	NUM
ejpam-4420	139	18	+	+	NUM
ejpam-4420	139	19	6θ	6θ	NUM
ejpam-4420	139	20	+	+	CCONJ
ejpam-4420	139	21	1	1	X
ejpam-4420	139	22	)	)	PUNCT
ejpam-4420	139	23	θ3(θ	θ3(θ	NOUN
ejpam-4420	139	24	+	+	CCONJ
ejpam-4420	139	25	1)3	1)3	NUM
ejpam-4420	139	26	,	,	PUNCT
ejpam-4420	139	27	µ4	µ4	PROPN
ejpam-4420	139	28	=	=	SYM
ejpam-4420	139	29	e[(x	e[(x	NOUN
ejpam-4420	139	30	−	−	NOUN
ejpam-4420	139	31	µ)4	µ)4	NOUN
ejpam-4420	139	32	]	]	X
ejpam-4420	139	33	=	=	PUNCT
ejpam-4420	140	1	e[x4]−	e[x4]−	PROPN
ejpam-4420	140	2	4µe[x3	4µe[x3	NUM
ejpam-4420	140	3	]	]	PUNCT
ejpam-4420	140	4	+	+	CCONJ
ejpam-4420	140	5	6µ2e[x2]−	6µ2e[x2]−	ADJ
ejpam-4420	140	6	3µ4	3µ4	NUM
ejpam-4420	140	7	=	=	NOUN
ejpam-4420	140	8	24α4(5θ	24α4(5θ	NUM
ejpam-4420	140	9	+	+	CCONJ
ejpam-4420	140	10	1	1	X
ejpam-4420	140	11	)	)	PUNCT
ejpam-4420	140	12	θ4(θ	θ4(θ	NOUN
ejpam-4420	141	1	+	+	NOUN
ejpam-4420	141	2	1	1	X
ejpam-4420	141	3	)	)	PUNCT
ejpam-4420	141	4	−	−	PROPN
ejpam-4420	141	5	4	4	NUM
ejpam-4420	141	6	(	(	PUNCT
ejpam-4420	141	7	α(2θ	α(2θ	NUM
ejpam-4420	141	8	+	+	NOUN
ejpam-4420	141	9	1	1	NUM
ejpam-4420	141	10	)	)	PUNCT
ejpam-4420	141	11	θ(θ	θ(θ	VERB
ejpam-4420	141	12	+	+	NOUN
ejpam-4420	141	13	1	1	NUM
ejpam-4420	141	14	)	)	PUNCT
ejpam-4420	141	15	)	)	PUNCT
ejpam-4420	142	1	(	(	PUNCT
ejpam-4420	142	2	6α3(4θ	6α3(4θ	NOUN
ejpam-4420	142	3	+	+	NOUN
ejpam-4420	142	4	1	1	X
ejpam-4420	142	5	)	)	PUNCT
ejpam-4420	142	6	θ3(θ	θ3(θ	NOUN
ejpam-4420	142	7	+	+	NOUN
ejpam-4420	142	8	1	1	NUM
ejpam-4420	142	9	)	)	PUNCT
ejpam-4420	142	10	)	)	PUNCT
ejpam-4420	143	1	+	+	CCONJ
ejpam-4420	143	2	6	6	NUM
ejpam-4420	143	3	(	(	PUNCT
ejpam-4420	143	4	α(2θ	α(2θ	NUM
ejpam-4420	143	5	+	+	NOUN
ejpam-4420	143	6	1	1	NUM
ejpam-4420	143	7	)	)	PUNCT
ejpam-4420	143	8	θ(θ	θ(θ	VERB
ejpam-4420	143	9	+	+	NOUN
ejpam-4420	143	10	1	1	NUM
ejpam-4420	143	11	)	)	PUNCT
ejpam-4420	143	12	)	)	PUNCT
ejpam-4420	144	1	2(2α2(3θ	2(2α2(3θ	X
ejpam-4420	144	2	+	+	CCONJ
ejpam-4420	144	3	1	1	X
ejpam-4420	144	4	)	)	PUNCT
ejpam-4420	144	5	θ2(θ	θ2(θ	PUNCT
ejpam-4420	145	1	+	+	NOUN
ejpam-4420	145	2	1	1	NUM
ejpam-4420	145	3	)	)	PUNCT
ejpam-4420	145	4	)	)	PUNCT
ejpam-4420	146	1	−	−	ADP
ejpam-4420	146	2	3	3	NUM
ejpam-4420	146	3	(	(	PUNCT
ejpam-4420	146	4	α(2θ	α(2θ	NUM
ejpam-4420	146	5	+	+	NOUN
ejpam-4420	146	6	1	1	NUM
ejpam-4420	146	7	)	)	PUNCT
ejpam-4420	146	8	θ(θ	θ(θ	VERB
ejpam-4420	146	9	+	+	NOUN
ejpam-4420	146	10	1	1	NUM
ejpam-4420	146	11	)	)	PUNCT
ejpam-4420	146	12	)	)	PUNCT
ejpam-4420	146	13	4	4	NUM
ejpam-4420	146	14	=	=	SYM
ejpam-4420	146	15	3α4(8θ4	3α4(8θ4	NOUN
ejpam-4420	146	16	+	+	NOUN
ejpam-4420	146	17	32θ3	32θ3	NUM
ejpam-4420	147	1	+	+	NUM
ejpam-4420	147	2	44θ2	44θ2	NUM
ejpam-4420	147	3	+	+	NUM
ejpam-4420	147	4	24θ	24θ	NOUN
ejpam-4420	147	5	+	+	CCONJ
ejpam-4420	147	6	3	3	X
ejpam-4420	147	7	)	)	PUNCT
ejpam-4420	147	8	θ4(θ	θ4(θ	NOUN
ejpam-4420	148	1	+	+	CCONJ
ejpam-4420	148	2	1)4	1)4	NUM
ejpam-4420	148	3	.	.	PUNCT
ejpam-4420	149	1	in	in	ADP
ejpam-4420	149	2	particular	particular	ADJ
ejpam-4420	149	3	,	,	PUNCT
ejpam-4420	149	4	the	the	DET
ejpam-4420	149	5	2nd	2nd	ADJ
ejpam-4420	149	6	moment	moment	NOUN
ejpam-4420	149	7	about	about	ADP
ejpam-4420	149	8	the	the	DET
ejpam-4420	149	9	mean	mean	NOUN
ejpam-4420	149	10	is	be	AUX
ejpam-4420	149	11	variance	variance	NOUN
ejpam-4420	149	12	that	that	PRON
ejpam-4420	149	13	is	be	AUX
ejpam-4420	149	14	,	,	PUNCT
ejpam-4420	149	15	σ2	σ2	PROPN
ejpam-4420	149	16	=	=	SYM
ejpam-4420	149	17	µ2	µ2	PROPN
ejpam-4420	149	18	=	=	PUNCT
ejpam-4420	149	19	α2(2θ2	α2(2θ2	NOUN
ejpam-4420	149	20	+	+	CCONJ
ejpam-4420	149	21	4θ	4θ	NOUN
ejpam-4420	149	22	+	+	CCONJ
ejpam-4420	149	23	1	1	X
ejpam-4420	149	24	)	)	PUNCT
ejpam-4420	149	25	θ2(θ	θ2(θ	PROPN
ejpam-4420	150	1	+	+	NOUN
ejpam-4420	150	2	1)2	1)2	NUM
ejpam-4420	150	3	.	.	PUNCT
ejpam-4420	151	1	the	the	DET
ejpam-4420	151	2	coefficient	coefficient	NOUN
ejpam-4420	151	3	of	of	ADP
ejpam-4420	151	4	variation	variation	NOUN
ejpam-4420	151	5	(	(	PUNCT
ejpam-4420	151	6	c.v	c.v	PROPN
ejpam-4420	151	7	.	.	PROPN
ejpam-4420	151	8	)	)	PUNCT
ejpam-4420	151	9	,	,	PUNCT
ejpam-4420	151	10	coefficient	coefficient	NOUN
ejpam-4420	151	11	of	of	ADP
ejpam-4420	151	12	skewness	skewness	NOUN
ejpam-4420	151	13	(	(	PUNCT
ejpam-4420	151	14	√	√	PUNCT
ejpam-4420	151	15	β1	β1	PROPN
ejpam-4420	151	16	)	)	PUNCT
ejpam-4420	151	17	,	,	PUNCT
ejpam-4420	151	18	and	and	CCONJ
ejpam-4420	151	19	coefficient	coefficient	NOUN
ejpam-4420	151	20	of	of	ADP
ejpam-4420	151	21	kurtosis	kurtosis	NOUN
ejpam-4420	151	22	(	(	PUNCT
ejpam-4420	151	23	β2	β2	NOUN
ejpam-4420	151	24	)	)	PUNCT
ejpam-4420	151	25	of	of	ADP
ejpam-4420	151	26	new	new	ADJ
ejpam-4420	151	27	sushila	sushila	NOUN
ejpam-4420	151	28	are	be	AUX
ejpam-4420	151	29	given	give	VERB
ejpam-4420	151	30	by	by	ADP
ejpam-4420	151	31	c.v	c.v	PROPN
ejpam-4420	151	32	.	.	PUNCT
ejpam-4420	151	33	=	=	SYM
ejpam-4420	151	34	σ	σ	PROPN
ejpam-4420	151	35	µ′	µ′	NOUN
ejpam-4420	151	36	1	1	NUM
ejpam-4420	151	37	=	=	SYM
ejpam-4420	151	38	√	√	PROPN
ejpam-4420	151	39	2θ2	2θ2	NUM
ejpam-4420	152	1	+	+	CCONJ
ejpam-4420	152	2	4θ	4θ	NOUN
ejpam-4420	152	3	+	+	CCONJ
ejpam-4420	152	4	1	1	NUM
ejpam-4420	152	5	2θ	2θ	NUM
ejpam-4420	152	6	+	+	CCONJ
ejpam-4420	152	7	1	1	NUM
ejpam-4420	152	8	,	,	PUNCT
ejpam-4420	152	9	√	√	ADV
ejpam-4420	152	10	β1	β1	PROPN
ejpam-4420	152	11	=	=	SYM
ejpam-4420	152	12	µ3	µ3	PROPN
ejpam-4420	152	13	µ	µ	PROPN
ejpam-4420	152	14	3/2	3/2	NUM
ejpam-4420	152	15	2	2	NUM
ejpam-4420	152	16	=	=	SYM
ejpam-4420	152	17	4θ[θ(θ	4θ[θ(θ	NOUN
ejpam-4420	152	18	+	+	CCONJ
ejpam-4420	152	19	3	3	X
ejpam-4420	152	20	)	)	PUNCT
ejpam-4420	152	21	+	+	CCONJ
ejpam-4420	152	22	3	3	X
ejpam-4420	152	23	]	]	X
ejpam-4420	152	24	+	+	CCONJ
ejpam-4420	152	25	2	2	NUM
ejpam-4420	152	26	θ6(θ	θ6(θ	NUM
ejpam-4420	152	27	+	+	NUM
ejpam-4420	152	28	1)6[2θ(θ	1)6[2θ(θ	NUM
ejpam-4420	152	29	+	+	CCONJ
ejpam-4420	152	30	2	2	NUM
ejpam-4420	152	31	)	)	PUNCT
ejpam-4420	152	32	+	+	NUM
ejpam-4420	152	33	1]3/2	1]3/2	NUM
ejpam-4420	152	34	,	,	PUNCT
ejpam-4420	152	35	β2	β2	NOUN
ejpam-4420	152	36	=	=	PUNCT
ejpam-4420	152	37	3(8θ4	3(8θ4	NOUN
ejpam-4420	152	38	+	+	NOUN
ejpam-4420	153	1	32θ3	32θ3	NUM
ejpam-4420	153	2	+	+	NUM
ejpam-4420	153	3	44θ2	44θ2	NUM
ejpam-4420	153	4	+	+	NUM
ejpam-4420	153	5	24θ	24θ	NOUN
ejpam-4420	153	6	+	+	CCONJ
ejpam-4420	153	7	3	3	X
ejpam-4420	153	8	)	)	PUNCT
ejpam-4420	153	9	(	(	PUNCT
ejpam-4420	153	10	2θ2	2θ2	NUM
ejpam-4420	154	1	+	+	CCONJ
ejpam-4420	154	2	4θ	4θ	NOUN
ejpam-4420	154	3	+	+	X
ejpam-4420	154	4	1)2	1)2	NUM
ejpam-4420	154	5	.	.	PUNCT
ejpam-4420	155	1	now	now	ADV
ejpam-4420	155	2	,	,	PUNCT
ejpam-4420	155	3	we	we	PRON
ejpam-4420	155	4	derive	derive	VERB
ejpam-4420	155	5	the	the	DET
ejpam-4420	155	6	moment	moment	NOUN
ejpam-4420	155	7	generating	generate	VERB
ejpam-4420	155	8	function	function	NOUN
ejpam-4420	155	9	(	(	PUNCT
ejpam-4420	155	10	mgf	mgf	PROPN
ejpam-4420	155	11	)	)	PUNCT
ejpam-4420	155	12	of	of	ADP
ejpam-4420	155	13	new	new	ADJ
ejpam-4420	155	14	sushila	sushila	NOUN
ejpam-4420	155	15	distribution	distribution	NOUN
ejpam-4420	155	16	as	as	ADP
ejpam-4420	155	17	the	the	DET
ejpam-4420	155	18	following	following	NOUN
ejpam-4420	155	19	.	.	PUNCT
ejpam-4420	156	1	theorem	theorem	ADJ
ejpam-4420	156	2	4	4	NUM
ejpam-4420	156	3	.	.	PUNCT
ejpam-4420	157	1	the	the	DET
ejpam-4420	157	2	moment	moment	NOUN
ejpam-4420	157	3	generating	generate	VERB
ejpam-4420	157	4	function	function	NOUN
ejpam-4420	157	5	mx(t	mx(t	NOUN
ejpam-4420	157	6	)	)	PUNCT
ejpam-4420	157	7	of	of	ADP
ejpam-4420	157	8	new	new	ADJ
ejpam-4420	157	9	sushila	sushila	NOUN
ejpam-4420	157	10	distribution	distribution	NOUN
ejpam-4420	157	11	is	be	AUX
ejpam-4420	157	12	defined	define	VERB
ejpam-4420	157	13	by	by	ADP
ejpam-4420	157	14	mx(t	mx(t	NOUN
ejpam-4420	157	15	)	)	PUNCT
ejpam-4420	157	16	=	=	SYM
ejpam-4420	157	17	e[etx	e[etx	NOUN
ejpam-4420	157	18	]	]	PUNCT
ejpam-4420	158	1	=	=	SYM
ejpam-4420	158	2	θ(αt+	θ(αt+	NOUN
ejpam-4420	158	3	θ2	θ2	PROPN
ejpam-4420	158	4	−	−	PROPN
ejpam-4420	158	5	θ	θ	PROPN
ejpam-4420	158	6	)	)	PUNCT
ejpam-4420	158	7	(	(	PUNCT
ejpam-4420	158	8	θ	θ	PROPN
ejpam-4420	158	9	+	+	NOUN
ejpam-4420	158	10	1)(θ	1)(θ	NUM
ejpam-4420	158	11	−	−	NOUN
ejpam-4420	158	12	αt)2	αt)2	PROPN
ejpam-4420	158	13	,	,	PUNCT
ejpam-4420	158	14	θ	θ	PROPN
ejpam-4420	158	15	α	α	X
ejpam-4420	158	16	>	>	X
ejpam-4420	158	17	t.	t.	PROPN
ejpam-4420	158	18	w.	w.	PROPN
ejpam-4420	158	19	ieosanurak	ieosanurak	PROPN
ejpam-4420	158	20	et	et	PROPN
ejpam-4420	159	1	al	al	PROPN
ejpam-4420	159	2	.	.	PUNCT
ejpam-4420	159	3	/	/	SYM
ejpam-4420	159	4	eur	eur	PROPN
ejpam-4420	159	5	.	.	PUNCT
ejpam-4420	160	1	j.	j.	PROPN
ejpam-4420	160	2	pure	pure	PROPN
ejpam-4420	160	3	appl	appl	PROPN
ejpam-4420	160	4	.	.	PROPN
ejpam-4420	160	5	math	math	PROPN
ejpam-4420	160	6	,	,	PUNCT
ejpam-4420	160	7	15	15	NUM
ejpam-4420	160	8	(	(	PUNCT
ejpam-4420	160	9	3	3	NUM
ejpam-4420	160	10	)	)	PUNCT
ejpam-4420	160	11	(	(	PUNCT
ejpam-4420	160	12	2022	2022	NUM
ejpam-4420	160	13	)	)	PUNCT
ejpam-4420	160	14	,	,	PUNCT
ejpam-4420	160	15	1280	1280	NUM
ejpam-4420	160	16	-	-	SYM
ejpam-4420	160	17	1300	1300	NUM
ejpam-4420	160	18	1287	1287	NUM
ejpam-4420	160	19	proof	proof	NOUN
ejpam-4420	160	20	.	.	PUNCT
ejpam-4420	161	1	mx(t	mx(t	NOUN
ejpam-4420	161	2	)	)	PUNCT
ejpam-4420	161	3	=	=	SYM
ejpam-4420	161	4	e[etx	e[etx	NOUN
ejpam-4420	161	5	]	]	PUNCT
ejpam-4420	162	1	=	=	PUNCT
ejpam-4420	162	2	θ	θ	X
ejpam-4420	162	3	α2(θ	α2(θ	PROPN
ejpam-4420	163	1	+	+	CCONJ
ejpam-4420	163	2	1	1	X
ejpam-4420	163	3	)	)	PUNCT
ejpam-4420	163	4	∫	∫	PROPN
ejpam-4420	164	1	∞	∞	PROPN
ejpam-4420	164	2	0	0	NUM
ejpam-4420	164	3	(	(	PUNCT
ejpam-4420	164	4	α+	α+	X
ejpam-4420	164	5	θ2x)e(t−	θ2x)e(t−	NOUN
ejpam-4420	164	6	θ	θ	NOUN
ejpam-4420	164	7	α	α	NOUN
ejpam-4420	164	8	)	)	PUNCT
ejpam-4420	164	9	x	x	SYM
ejpam-4420	164	10	dx	dx	PROPN
ejpam-4420	164	11	=	=	SYM
ejpam-4420	164	12	θ	θ	PROPN
ejpam-4420	164	13	α2(θ	α2(θ	PROPN
ejpam-4420	165	1	+	+	CCONJ
ejpam-4420	165	2	1	1	X
ejpam-4420	165	3	)	)	PUNCT
ejpam-4420	165	4	lim	lim	NOUN
ejpam-4420	165	5	b→∞	b→∞	PROPN
ejpam-4420	165	6	[	[	PUNCT
ejpam-4420	165	7	α(α2t+	α(α2t+	NUM
ejpam-4420	165	8	αθ	αθ	NOUN
ejpam-4420	165	9	+	+	CCONJ
ejpam-4420	165	10	αθ(θ(xt−	αθ(θ(xt−	PROPN
ejpam-4420	165	11	1)−	1)−	PROPN
ejpam-4420	165	12	1	1	NUM
ejpam-4420	165	13	)	)	PUNCT
ejpam-4420	165	14	)	)	PUNCT
ejpam-4420	166	1	+	+	PUNCT
ejpam-4420	166	2	θ3(−x	θ3(−x	NUM
ejpam-4420	166	3	)	)	PUNCT
ejpam-4420	166	4	(	(	PUNCT
ejpam-4420	166	5	θ	θ	PROPN
ejpam-4420	166	6	−	−	PROPN
ejpam-4420	166	7	αt)2	αt)2	PROPN
ejpam-4420	166	8	e(t−	e(t−	PROPN
ejpam-4420	166	9	θ	θ	NOUN
ejpam-4420	166	10	α	α	NOUN
ejpam-4420	166	11	)	)	PUNCT
ejpam-4420	166	12	x	x	X
ejpam-4420	166	13	]	]	X
ejpam-4420	166	14	b	b	X
ejpam-4420	166	15	x=0	x=0	PUNCT
ejpam-4420	166	16	=	=	SYM
ejpam-4420	166	17	θ(αt+	θ(αt+	NOUN
ejpam-4420	166	18	θ2	θ2	PROPN
ejpam-4420	166	19	−	−	PROPN
ejpam-4420	166	20	θ	θ	PROPN
ejpam-4420	166	21	)	)	PUNCT
ejpam-4420	166	22	(	(	PUNCT
ejpam-4420	166	23	θ	θ	PROPN
ejpam-4420	166	24	+	+	NOUN
ejpam-4420	166	25	1)(θ	1)(θ	NUM
ejpam-4420	166	26	−	−	NOUN
ejpam-4420	166	27	αt)2	αt)2	PROPN
ejpam-4420	166	28	,	,	PUNCT
ejpam-4420	166	29	θ	θ	PROPN
ejpam-4420	166	30	α	α	X
ejpam-4420	166	31	>	>	X
ejpam-4420	166	32	t.	t.	PROPN
ejpam-4420	166	33	4	4	NUM
ejpam-4420	166	34	.	.	PUNCT
ejpam-4420	166	35	reliability	reliability	NOUN
ejpam-4420	166	36	measures	measure	NOUN
ejpam-4420	166	37	in	in	ADP
ejpam-4420	166	38	this	this	DET
ejpam-4420	166	39	section	section	NOUN
ejpam-4420	166	40	,	,	PUNCT
ejpam-4420	166	41	we	we	PRON
ejpam-4420	166	42	derive	derive	VERB
ejpam-4420	166	43	expressions	expression	NOUN
ejpam-4420	166	44	for	for	ADP
ejpam-4420	166	45	the	the	DET
ejpam-4420	166	46	reliability	reliability	NOUN
ejpam-4420	166	47	measures	measure	NOUN
ejpam-4420	166	48	,	,	PUNCT
ejpam-4420	166	49	like	like	ADP
ejpam-4420	166	50	survival	survival	NOUN
ejpam-4420	166	51	function	function	NOUN
ejpam-4420	166	52	,	,	PUNCT
ejpam-4420	166	53	hazard	hazard	NOUN
ejpam-4420	166	54	function	function	NOUN
ejpam-4420	166	55	,	,	PUNCT
ejpam-4420	166	56	and	and	CCONJ
ejpam-4420	166	57	mean	mean	VERB
ejpam-4420	166	58	residual	residual	ADJ
ejpam-4420	166	59	life	life	NOUN
ejpam-4420	166	60	function	function	NOUN
ejpam-4420	166	61	for	for	ADP
ejpam-4420	166	62	new	new	ADJ
ejpam-4420	166	63	sushila	sushila	NOUN
ejpam-4420	166	64	distribution	distribution	NOUN
ejpam-4420	166	65	.	.	PUNCT
ejpam-4420	167	1	theorem	theorem	ADJ
ejpam-4420	167	2	5	5	NUM
ejpam-4420	167	3	.	.	PUNCT
ejpam-4420	168	1	for	for	ADP
ejpam-4420	168	2	x	x	SYM
ejpam-4420	168	3	>	>	X
ejpam-4420	168	4	0	0	PROPN
ejpam-4420	168	5	,	,	PUNCT
ejpam-4420	168	6	θ	θ	PROPN
ejpam-4420	168	7	>	>	X
ejpam-4420	168	8	0	0	PROPN
ejpam-4420	168	9	,	,	PUNCT
ejpam-4420	168	10	α	α	NOUN
ejpam-4420	168	11	>	>	X
ejpam-4420	168	12	0	0	PROPN
ejpam-4420	168	13	.	.	PUNCT
ejpam-4420	169	1	the	the	DET
ejpam-4420	169	2	survival	survival	NOUN
ejpam-4420	169	3	function	function	PROPN
ejpam-4420	169	4	s(x	s(x	PROPN
ejpam-4420	169	5	)	)	PUNCT
ejpam-4420	169	6	,	,	PUNCT
ejpam-4420	169	7	the	the	DET
ejpam-4420	169	8	hazard	hazard	NOUN
ejpam-4420	169	9	rate	rate	NOUN
ejpam-4420	169	10	function	function	NOUN
ejpam-4420	169	11	h(x	h(x	PROPN
ejpam-4420	169	12	)	)	PUNCT
ejpam-4420	169	13	,	,	PUNCT
ejpam-4420	169	14	and	and	CCONJ
ejpam-4420	169	15	mean	mean	VERB
ejpam-4420	169	16	residual	residual	ADJ
ejpam-4420	169	17	life	life	NOUN
ejpam-4420	169	18	function	function	NOUN
ejpam-4420	169	19	m(x	m(x	PROPN
ejpam-4420	169	20	)	)	PUNCT
ejpam-4420	169	21	of	of	ADP
ejpam-4420	169	22	new	new	ADJ
ejpam-4420	169	23	sushila	sushila	NOUN
ejpam-4420	169	24	distribution	distribution	NOUN
ejpam-4420	169	25	is	be	AUX
ejpam-4420	169	26	defined	define	VERB
ejpam-4420	169	27	by	by	ADP
ejpam-4420	169	28	,	,	PUNCT
ejpam-4420	169	29	s(x	s(x	PROPN
ejpam-4420	169	30	)	)	PUNCT
ejpam-4420	169	31	=	=	PUNCT
ejpam-4420	170	1	(	(	PUNCT
ejpam-4420	170	2	αθ	αθ	NUM
ejpam-4420	170	3	+	+	X
ejpam-4420	170	4	α+	α+	NOUN
ejpam-4420	170	5	θ2x)e−	θ2x)e−	X
ejpam-4420	170	6	θ	θ	NOUN
ejpam-4420	170	7	α	α	NOUN
ejpam-4420	170	8	x	x	SYM
ejpam-4420	170	9	α(θ	α(θ	NOUN
ejpam-4420	170	10	+	+	ADP
ejpam-4420	170	11	1	1	NUM
ejpam-4420	170	12	)	)	PUNCT
ejpam-4420	170	13	,	,	PUNCT
ejpam-4420	170	14	h(x	h(x	PROPN
ejpam-4420	170	15	)	)	PUNCT
ejpam-4420	170	16	=	=	PUNCT
ejpam-4420	170	17	θ(α+	θ(α+	NOUN
ejpam-4420	170	18	θ2x	θ2x	PROPN
ejpam-4420	170	19	)	)	PUNCT
ejpam-4420	170	20	α(αθ	α(αθ	PROPN
ejpam-4420	170	21	+	+	CCONJ
ejpam-4420	170	22	α+	α+	X
ejpam-4420	170	23	θ2x	θ2x	PROPN
ejpam-4420	170	24	)	)	PUNCT
ejpam-4420	170	25	,	,	PUNCT
ejpam-4420	170	26	and	and	CCONJ
ejpam-4420	170	27	m(x	m(x	NOUN
ejpam-4420	170	28	)	)	PUNCT
ejpam-4420	171	1	=	=	PUNCT
ejpam-4420	172	1	α2(θ	α2(θ	PROPN
ejpam-4420	172	2	+	+	NUM
ejpam-4420	172	3	1)(2αθ	1)(2αθ	NUM
ejpam-4420	172	4	+	+	CCONJ
ejpam-4420	172	5	α+	α+	X
ejpam-4420	172	6	θ2x	θ2x	PROPN
ejpam-4420	172	7	)	)	PUNCT
ejpam-4420	172	8	αθ	αθ	NOUN
ejpam-4420	173	1	+	+	CCONJ
ejpam-4420	173	2	α+	α+	PROPN
ejpam-4420	173	3	θ2x	θ2x	PROPN
ejpam-4420	173	4	.	.	PUNCT
ejpam-4420	174	1	proof	proof	NOUN
ejpam-4420	174	2	.	.	PUNCT
ejpam-4420	175	1	by	by	ADP
ejpam-4420	175	2	definition	definition	NOUN
ejpam-4420	175	3	of	of	ADP
ejpam-4420	175	4	the	the	DET
ejpam-4420	175	5	survival	survival	NOUN
ejpam-4420	175	6	function	function	NOUN
ejpam-4420	175	7	,	,	PUNCT
ejpam-4420	175	8	we	we	PRON
ejpam-4420	175	9	have	have	VERB
ejpam-4420	175	10	s(x	s(x	NOUN
ejpam-4420	175	11	)	)	PUNCT
ejpam-4420	175	12	=	=	SYM
ejpam-4420	176	1	1−	1−	NUM
ejpam-4420	176	2	f	f	X
ejpam-4420	176	3	(	(	PUNCT
ejpam-4420	176	4	x	x	NOUN
ejpam-4420	176	5	)	)	PUNCT
ejpam-4420	176	6	=	=	SYM
ejpam-4420	176	7	(	(	PUNCT
ejpam-4420	176	8	αθ	αθ	NUM
ejpam-4420	176	9	+	+	X
ejpam-4420	176	10	α+	α+	NOUN
ejpam-4420	176	11	θ2x)e−	θ2x)e−	X
ejpam-4420	176	12	θ	θ	NOUN
ejpam-4420	176	13	α	α	NOUN
ejpam-4420	176	14	x	x	SYM
ejpam-4420	176	15	α(θ	α(θ	NOUN
ejpam-4420	176	16	+	+	ADP
ejpam-4420	176	17	1	1	NUM
ejpam-4420	176	18	)	)	PUNCT
ejpam-4420	176	19	,	,	PUNCT
ejpam-4420	176	20	x	x	X
ejpam-4420	176	21	>	>	X
ejpam-4420	176	22	0	0	PROPN
ejpam-4420	176	23	,	,	PUNCT
ejpam-4420	176	24	θ	θ	PROPN
ejpam-4420	176	25	>	>	X
ejpam-4420	176	26	0	0	PROPN
ejpam-4420	176	27	,	,	PUNCT
ejpam-4420	176	28	α	α	NOUN
ejpam-4420	176	29	>	>	X
ejpam-4420	176	30	0	0	NUM
ejpam-4420	176	31	.	.	PUNCT
ejpam-4420	177	1	by	by	ADP
ejpam-4420	177	2	definition	definition	NOUN
ejpam-4420	177	3	of	of	ADP
ejpam-4420	177	4	the	the	DET
ejpam-4420	177	5	hazard	hazard	NOUN
ejpam-4420	177	6	rate	rate	NOUN
ejpam-4420	177	7	function	function	NOUN
ejpam-4420	177	8	,	,	PUNCT
ejpam-4420	177	9	we	we	PRON
ejpam-4420	177	10	have	have	VERB
ejpam-4420	177	11	h(x	h(x	PROPN
ejpam-4420	177	12	)	)	PUNCT
ejpam-4420	178	1	=	=	PROPN
ejpam-4420	178	2	lim	lim	PROPN
ejpam-4420	178	3	∆x→0	∆x→0	PROPN
ejpam-4420	178	4	p	p	X
ejpam-4420	178	5	(	(	PUNCT
ejpam-4420	178	6	x	x	X
ejpam-4420	178	7	<	<	X
ejpam-4420	178	8	x+∆x|x	x+∆x|x	PROPN
ejpam-4420	178	9	>	>	X
ejpam-4420	178	10	x	x	PROPN
ejpam-4420	178	11	)	)	PUNCT
ejpam-4420	178	12	∆x	∆x	PROPN
ejpam-4420	178	13	=	=	SYM
ejpam-4420	178	14	f(x	f(x	PROPN
ejpam-4420	178	15	)	)	PUNCT
ejpam-4420	179	1	1−	1−	NUM
ejpam-4420	179	2	f	f	X
ejpam-4420	179	3	(	(	PUNCT
ejpam-4420	179	4	x	x	NOUN
ejpam-4420	179	5	)	)	PUNCT
ejpam-4420	179	6	=	=	SYM
ejpam-4420	179	7	θ(α+	θ(α+	NOUN
ejpam-4420	179	8	θ2x	θ2x	PROPN
ejpam-4420	179	9	)	)	PUNCT
ejpam-4420	179	10	α(αθ	α(αθ	PROPN
ejpam-4420	179	11	+	+	CCONJ
ejpam-4420	179	12	α+	α+	X
ejpam-4420	179	13	θ2x	θ2x	PROPN
ejpam-4420	179	14	)	)	PUNCT
ejpam-4420	179	15	.	.	PUNCT
ejpam-4420	180	1	by	by	ADP
ejpam-4420	180	2	definition	definition	NOUN
ejpam-4420	180	3	of	of	ADP
ejpam-4420	180	4	the	the	DET
ejpam-4420	180	5	mean	mean	ADJ
ejpam-4420	180	6	residual	residual	ADJ
ejpam-4420	180	7	life	life	NOUN
ejpam-4420	180	8	function	function	NOUN
ejpam-4420	180	9	,	,	PUNCT
ejpam-4420	180	10	we	we	PRON
ejpam-4420	180	11	have	have	VERB
ejpam-4420	180	12	m(x	m(x	NOUN
ejpam-4420	180	13	)	)	PUNCT
ejpam-4420	181	1	=	=	SYM
ejpam-4420	181	2	e[x	e[x	NOUN
ejpam-4420	181	3	−	−	NOUN
ejpam-4420	181	4	x|x	x|x	PUNCT
ejpam-4420	181	5	>	>	X
ejpam-4420	182	1	x	x	X
ejpam-4420	182	2	]	]	X
ejpam-4420	182	3	w.	w.	PROPN
ejpam-4420	182	4	ieosanurak	ieosanurak	PROPN
ejpam-4420	182	5	et	et	PROPN
ejpam-4420	182	6	al	al	PROPN
ejpam-4420	182	7	.	.	PUNCT
ejpam-4420	182	8	/	/	SYM
ejpam-4420	182	9	eur	eur	PROPN
ejpam-4420	182	10	.	.	PUNCT
ejpam-4420	183	1	j.	j.	PROPN
ejpam-4420	183	2	pure	pure	PROPN
ejpam-4420	183	3	appl	appl	PROPN
ejpam-4420	183	4	.	.	PROPN
ejpam-4420	183	5	math	math	PROPN
ejpam-4420	183	6	,	,	PUNCT
ejpam-4420	183	7	15	15	NUM
ejpam-4420	183	8	(	(	PUNCT
ejpam-4420	183	9	3	3	NUM
ejpam-4420	183	10	)	)	PUNCT
ejpam-4420	183	11	(	(	PUNCT
ejpam-4420	183	12	2022	2022	NUM
ejpam-4420	183	13	)	)	PUNCT
ejpam-4420	183	14	,	,	PUNCT
ejpam-4420	183	15	1280	1280	NUM
ejpam-4420	183	16	-	-	SYM
ejpam-4420	183	17	1300	1300	NUM
ejpam-4420	183	18	1288	1288	NUM
ejpam-4420	183	19	=	=	SYM
ejpam-4420	183	20	1	1	NUM
ejpam-4420	183	21	1−	1−	NUM
ejpam-4420	183	22	f	f	X
ejpam-4420	183	23	(	(	PUNCT
ejpam-4420	183	24	x	x	X
ejpam-4420	183	25	)	)	PUNCT
ejpam-4420	183	26	∫	∫	PROPN
ejpam-4420	183	27	∞	∞	NUM
ejpam-4420	183	28	x	x	SYM
ejpam-4420	183	29	(	(	PUNCT
ejpam-4420	183	30	1−	1−	NUM
ejpam-4420	183	31	f	f	X
ejpam-4420	183	32	(	(	PUNCT
ejpam-4420	183	33	t	t	PROPN
ejpam-4420	183	34	)	)	PUNCT
ejpam-4420	183	35	)	)	PUNCT
ejpam-4420	184	1	dt	dt	PUNCT
ejpam-4420	185	1	=	=	SYM
ejpam-4420	185	2	α2(θ	α2(θ	PROPN
ejpam-4420	185	3	+	+	NUM
ejpam-4420	185	4	1)(2αθ	1)(2αθ	NUM
ejpam-4420	185	5	+	+	CCONJ
ejpam-4420	185	6	α+	α+	X
ejpam-4420	185	7	θ2x	θ2x	PROPN
ejpam-4420	185	8	)	)	PUNCT
ejpam-4420	185	9	αθ	αθ	NOUN
ejpam-4420	186	1	+	+	CCONJ
ejpam-4420	186	2	α+	α+	X
ejpam-4420	186	3	θ2x	θ2x	PROPN
ejpam-4420	186	4	.	.	PUNCT
ejpam-4420	187	1	it	it	PRON
ejpam-4420	187	2	can	can	AUX
ejpam-4420	187	3	be	be	AUX
ejpam-4420	187	4	easily	easily	ADV
ejpam-4420	187	5	verified	verify	VERB
ejpam-4420	187	6	that	that	SCONJ
ejpam-4420	187	7	h(0	h(0	PROPN
ejpam-4420	187	8	)	)	PUNCT
ejpam-4420	188	1	=	=	SYM
ejpam-4420	188	2	θα	θα	ADP
ejpam-4420	188	3	θ	θ	NOUN
ejpam-4420	188	4	+	+	CCONJ
ejpam-4420	188	5	α2	α2	ADJ
ejpam-4420	188	6	=	=	SYM
ejpam-4420	188	7	f(0	f(0	NOUN
ejpam-4420	188	8	)	)	PUNCT
ejpam-4420	188	9	and	and	CCONJ
ejpam-4420	188	10	m(0	m(0	PROPN
ejpam-4420	188	11	)	)	PUNCT
ejpam-4420	188	12	=	=	PUNCT
ejpam-4420	188	13	µ′	µ′	NOUN
ejpam-4420	189	1	1	1	X
ejpam-4420	189	2	.	.	PUNCT
ejpam-4420	190	1	the	the	DET
ejpam-4420	190	2	derivative	derivative	ADJ
ejpam-4420	190	3	h′(x	h′(x	NOUN
ejpam-4420	190	4	)	)	PUNCT
ejpam-4420	190	5	>	>	X
ejpam-4420	190	6	0	0	PUNCT
ejpam-4420	190	7	for	for	ADP
ejpam-4420	190	8	all	all	DET
ejpam-4420	190	9	x	x	ADJ
ejpam-4420	190	10	,	,	PUNCT
ejpam-4420	190	11	so	so	ADV
ejpam-4420	190	12	h(x	h(x	PROPN
ejpam-4420	190	13	)	)	PUNCT
ejpam-4420	190	14	is	be	AUX
ejpam-4420	190	15	an	an	DET
ejpam-4420	190	16	increasing	increase	VERB
ejpam-4420	190	17	function	function	NOUN
ejpam-4420	190	18	of	of	ADP
ejpam-4420	190	19	x	x	PROPN
ejpam-4420	190	20	,	,	PUNCT
ejpam-4420	190	21	α	α	PROPN
ejpam-4420	190	22	and	and	CCONJ
ejpam-4420	190	23	θ	θ	PROPN
ejpam-4420	190	24	,	,	PUNCT
ejpam-4420	190	25	whereas	whereas	SCONJ
ejpam-4420	190	26	m(x	m(x	NOUN
ejpam-4420	190	27	)	)	PUNCT
ejpam-4420	190	28	is	be	AUX
ejpam-4420	190	29	a	a	DET
ejpam-4420	190	30	decreasing	decrease	VERB
ejpam-4420	190	31	function	function	NOUN
ejpam-4420	190	32	of	of	ADP
ejpam-4420	190	33	x	x	PROPN
ejpam-4420	190	34	,	,	PUNCT
ejpam-4420	190	35	α	α	PROPN
ejpam-4420	190	36	and	and	CCONJ
ejpam-4420	190	37	θ	θ	PROPN
ejpam-4420	190	38	.	.	PROPN
ejpam-4420	190	39	5	5	NUM
ejpam-4420	190	40	.	.	X
ejpam-4420	190	41	estimation	estimation	NOUN
ejpam-4420	190	42	of	of	ADP
ejpam-4420	190	43	parameters	parameter	NOUN
ejpam-4420	190	44	in	in	ADP
ejpam-4420	190	45	this	this	DET
ejpam-4420	190	46	section	section	NOUN
ejpam-4420	190	47	,	,	PUNCT
ejpam-4420	190	48	we	we	PRON
ejpam-4420	190	49	proposed	propose	VERB
ejpam-4420	190	50	five	five	NUM
ejpam-4420	190	51	methods	method	NOUN
ejpam-4420	190	52	for	for	ADP
ejpam-4420	190	53	estimating	estimate	VERB
ejpam-4420	190	54	parameters	parameter	NOUN
ejpam-4420	190	55	.	.	PUNCT
ejpam-4420	191	1	the	the	DET
ejpam-4420	191	2	first	first	ADJ
ejpam-4420	191	3	two	two	NUM
ejpam-4420	191	4	methods	method	NOUN
ejpam-4420	191	5	are	be	AUX
ejpam-4420	191	6	the	the	DET
ejpam-4420	191	7	moment	moment	NOUN
ejpam-4420	191	8	estimation	estimation	NOUN
ejpam-4420	191	9	(	(	PUNCT
ejpam-4420	191	10	me	i	PRON
ejpam-4420	191	11	)	)	PUNCT
ejpam-4420	191	12	,	,	PUNCT
ejpam-4420	191	13	the	the	DET
ejpam-4420	191	14	maximum	maximum	ADJ
ejpam-4420	191	15	likelihood	likelihood	NOUN
ejpam-4420	191	16	estimates	estimate	NOUN
ejpam-4420	191	17	(	(	PUNCT
ejpam-4420	191	18	mle	mle	PROPN
ejpam-4420	191	19	)	)	PUNCT
ejpam-4420	191	20	.	.	PUNCT
ejpam-4420	192	1	these	these	DET
ejpam-4420	192	2	methods	method	NOUN
ejpam-4420	192	3	are	be	AUX
ejpam-4420	192	4	widely	widely	ADV
ejpam-4420	192	5	used	use	VERB
ejpam-4420	192	6	for	for	ADP
ejpam-4420	192	7	estimation	estimation	NOUN
ejpam-4420	192	8	because	because	SCONJ
ejpam-4420	192	9	they	they	PRON
ejpam-4420	192	10	are	be	AUX
ejpam-4420	192	11	simple	simple	ADJ
ejpam-4420	192	12	.	.	PUNCT
ejpam-4420	193	1	the	the	DET
ejpam-4420	193	2	next	next	ADJ
ejpam-4420	193	3	two	two	NUM
ejpam-4420	193	4	methods	method	NOUN
ejpam-4420	193	5	are	be	AUX
ejpam-4420	193	6	the	the	DET
ejpam-4420	193	7	weighted	weight	VERB
ejpam-4420	193	8	and	and	CCONJ
ejpam-4420	193	9	unweighted	unweighte	VERB
ejpam-4420	193	10	least	least	ADJ
ejpam-4420	193	11	squares	square	NOUN
ejpam-4420	193	12	methods	method	NOUN
ejpam-4420	193	13	via	via	ADP
ejpam-4420	193	14	the	the	DET
ejpam-4420	193	15	cdf	cdf	PROPN
ejpam-4420	193	16	.	.	PUNCT
ejpam-4420	194	1	these	these	DET
ejpam-4420	194	2	methods	method	NOUN
ejpam-4420	194	3	are	be	AUX
ejpam-4420	194	4	more	more	ADV
ejpam-4420	194	5	complicated	complicated	ADJ
ejpam-4420	194	6	than	than	ADP
ejpam-4420	194	7	the	the	DET
ejpam-4420	194	8	first	first	ADJ
ejpam-4420	194	9	two	two	NUM
ejpam-4420	194	10	methods	method	NOUN
ejpam-4420	194	11	,	,	PUNCT
ejpam-4420	194	12	but	but	CCONJ
ejpam-4420	194	13	the	the	DET
ejpam-4420	194	14	least	least	ADJ
ejpam-4420	194	15	squares	square	NOUN
ejpam-4420	194	16	are	be	AUX
ejpam-4420	194	17	better	well	ADJ
ejpam-4420	194	18	than	than	ADP
ejpam-4420	194	19	in	in	ADP
ejpam-4420	194	20	some	some	DET
ejpam-4420	194	21	situations	situation	NOUN
ejpam-4420	194	22	.	.	PUNCT
ejpam-4420	195	1	the	the	DET
ejpam-4420	195	2	last	last	ADJ
ejpam-4420	195	3	method	method	NOUN
ejpam-4420	195	4	is	be	AUX
ejpam-4420	195	5	the	the	DET
ejpam-4420	195	6	genetic	genetic	ADJ
ejpam-4420	195	7	algorithm	algorithm	NOUN
ejpam-4420	195	8	which	which	PRON
ejpam-4420	195	9	is	be	AUX
ejpam-4420	195	10	a	a	DET
ejpam-4420	195	11	heuristic	heuristic	ADJ
ejpam-4420	195	12	search	search	NOUN
ejpam-4420	195	13	that	that	PRON
ejpam-4420	195	14	mimics	mimic	VERB
ejpam-4420	195	15	the	the	DET
ejpam-4420	195	16	process	process	NOUN
ejpam-4420	195	17	of	of	ADP
ejpam-4420	195	18	natural	natural	ADJ
ejpam-4420	195	19	evolution	evolution	NOUN
ejpam-4420	195	20	.	.	PUNCT
ejpam-4420	196	1	this	this	DET
ejpam-4420	196	2	method	method	NOUN
ejpam-4420	196	3	is	be	AUX
ejpam-4420	196	4	an	an	DET
ejpam-4420	196	5	efficient	efficient	ADJ
ejpam-4420	196	6	and	and	CCONJ
ejpam-4420	196	7	effective	effective	ADJ
ejpam-4420	196	8	technique	technique	NOUN
ejpam-4420	196	9	.	.	PUNCT
ejpam-4420	197	1	5.1	5.1	NUM
ejpam-4420	197	2	.	.	PUNCT
ejpam-4420	198	1	the	the	DET
ejpam-4420	198	2	moment	moment	NOUN
ejpam-4420	198	3	estimation	estimation	NOUN
ejpam-4420	198	4	(	(	PUNCT
ejpam-4420	198	5	me	i	PRON
ejpam-4420	198	6	)	)	PUNCT
ejpam-4420	198	7	the	the	DET
ejpam-4420	198	8	new	new	ADJ
ejpam-4420	198	9	sushila	sushila	NOUN
ejpam-4420	198	10	distribution	distribution	NOUN
ejpam-4420	198	11	has	have	VERB
ejpam-4420	198	12	two	two	NUM
ejpam-4420	198	13	parameters	parameter	NOUN
ejpam-4420	198	14	to	to	PART
ejpam-4420	198	15	be	be	AUX
ejpam-4420	198	16	estimated	estimate	VERB
ejpam-4420	198	17	.	.	PUNCT
ejpam-4420	199	1	using	use	VERB
ejpam-4420	199	2	the	the	DET
ejpam-4420	199	3	first	first	ADJ
ejpam-4420	199	4	moment	moment	NOUN
ejpam-4420	199	5	about	about	ADP
ejpam-4420	199	6	origin	origin	NOUN
ejpam-4420	199	7	,	,	PUNCT
ejpam-4420	199	8	we	we	PRON
ejpam-4420	199	9	have	have	VERB
ejpam-4420	199	10	e[x	e[x	NOUN
ejpam-4420	199	11	]	]	X
ejpam-4420	199	12	=	=	SYM
ejpam-4420	199	13	α(2θ	α(2θ	NUM
ejpam-4420	199	14	+	+	NOUN
ejpam-4420	199	15	1	1	NUM
ejpam-4420	199	16	)	)	PUNCT
ejpam-4420	199	17	θ(θ	θ(θ	VERB
ejpam-4420	199	18	+	+	CCONJ
ejpam-4420	199	19	1	1	NUM
ejpam-4420	199	20	)	)	PUNCT
ejpam-4420	199	21	,	,	PUNCT
ejpam-4420	199	22	e[x	e[x	NOUN
ejpam-4420	199	23	]	]	X
ejpam-4420	199	24	=	=	PUNCT
ejpam-4420	199	25	x̄.	x̄.	PUNCT
ejpam-4420	199	26	we	we	PRON
ejpam-4420	199	27	obtain	obtain	VERB
ejpam-4420	199	28	,	,	PUNCT
ejpam-4420	199	29	x̄	x̄	PUNCT
ejpam-4420	199	30	=	=	PUNCT
ejpam-4420	200	1	α(2θ	α(2θ	NUM
ejpam-4420	200	2	+	+	NOUN
ejpam-4420	200	3	1	1	NUM
ejpam-4420	200	4	)	)	PUNCT
ejpam-4420	200	5	θ(θ	θ(θ	VERB
ejpam-4420	200	6	+	+	NOUN
ejpam-4420	200	7	1	1	NUM
ejpam-4420	200	8	)	)	PUNCT
ejpam-4420	200	9	.	.	PUNCT
ejpam-4420	201	1	so	so	ADV
ejpam-4420	201	2	α̂	α̂	NUM
ejpam-4420	201	3	=	=	SYM
ejpam-4420	202	1	θ(θ	θ(θ	VERB
ejpam-4420	202	2	+	+	NUM
ejpam-4420	202	3	1)x̄	1)x̄	NUM
ejpam-4420	202	4	(	(	PUNCT
ejpam-4420	202	5	2θ	2θ	NUM
ejpam-4420	202	6	+	+	SYM
ejpam-4420	202	7	1	1	NUM
ejpam-4420	202	8	)	)	PUNCT
ejpam-4420	202	9	.	.	PUNCT
ejpam-4420	203	1	using	use	VERB
ejpam-4420	203	2	the	the	DET
ejpam-4420	203	3	second	second	ADJ
ejpam-4420	203	4	moment	moment	NOUN
ejpam-4420	203	5	about	about	ADP
ejpam-4420	203	6	mean	mean	VERB
ejpam-4420	203	7	,	,	PUNCT
ejpam-4420	203	8	we	we	PRON
ejpam-4420	203	9	have	have	VERB
ejpam-4420	203	10	µ2	µ2	NOUN
ejpam-4420	203	11	=	=	SYM
ejpam-4420	203	12	e[x2]−	e[x2]−	PROPN
ejpam-4420	203	13	µ2	µ2	PROPN
ejpam-4420	203	14	=	=	PUNCT
ejpam-4420	203	15	α2(2θ2	α2(2θ2	NOUN
ejpam-4420	203	16	+	+	CCONJ
ejpam-4420	203	17	4θ	4θ	NOUN
ejpam-4420	203	18	+	+	CCONJ
ejpam-4420	203	19	1	1	X
ejpam-4420	203	20	)	)	PUNCT
ejpam-4420	203	21	θ2(θ	θ2(θ	PROPN
ejpam-4420	204	1	+	+	NUM
ejpam-4420	204	2	1)2	1)2	NUM
ejpam-4420	204	3	,	,	PUNCT
ejpam-4420	204	4	w.	w.	PROPN
ejpam-4420	204	5	ieosanurak	ieosanurak	PROPN
ejpam-4420	204	6	et	et	PROPN
ejpam-4420	204	7	al	al	PROPN
ejpam-4420	204	8	.	.	PUNCT
ejpam-4420	204	9	/	/	SYM
ejpam-4420	204	10	eur	eur	PROPN
ejpam-4420	204	11	.	.	PUNCT
ejpam-4420	205	1	j.	j.	PROPN
ejpam-4420	205	2	pure	pure	PROPN
ejpam-4420	205	3	appl	appl	PROPN
ejpam-4420	205	4	.	.	PROPN
ejpam-4420	205	5	math	math	PROPN
ejpam-4420	205	6	,	,	PUNCT
ejpam-4420	205	7	15	15	NUM
ejpam-4420	205	8	(	(	PUNCT
ejpam-4420	205	9	3	3	NUM
ejpam-4420	205	10	)	)	PUNCT
ejpam-4420	205	11	(	(	PUNCT
ejpam-4420	205	12	2022	2022	NUM
ejpam-4420	205	13	)	)	PUNCT
ejpam-4420	205	14	,	,	PUNCT
ejpam-4420	205	15	1280	1280	NUM
ejpam-4420	205	16	-	-	SYM
ejpam-4420	205	17	1300	1300	NUM
ejpam-4420	205	18	1289	1289	NUM
ejpam-4420	205	19	and	and	CCONJ
ejpam-4420	205	20	e[x2]−	e[x2]−	PROPN
ejpam-4420	205	21	µ2	µ2	PROPN
ejpam-4420	205	22	=	=	PUNCT
ejpam-4420	205	23	1	1	NUM
ejpam-4420	205	24	n	n	NUM
ejpam-4420	205	25	n∑	n∑	NOUN
ejpam-4420	205	26	i=1	i=1	PROPN
ejpam-4420	206	1	x2i	x2i	PROPN
ejpam-4420	207	1	−	−	PROPN
ejpam-4420	208	1	x̄2	x̄2	PROPN
ejpam-4420	208	2	,	,	PUNCT
ejpam-4420	208	3	so	so	ADV
ejpam-4420	208	4	1	1	NUM
ejpam-4420	208	5	n	n	NUM
ejpam-4420	208	6	n∑	n∑	NOUN
ejpam-4420	208	7	i=1	i=1	PROPN
ejpam-4420	208	8	x2i	x2i	PUNCT
ejpam-4420	208	9	−	−	PROPN
ejpam-4420	208	10	x̄2	x̄2	X
ejpam-4420	208	11	=	=	SYM
ejpam-4420	208	12	α2(2θ2	α2(2θ2	NOUN
ejpam-4420	208	13	+	+	CCONJ
ejpam-4420	208	14	4θ	4θ	NOUN
ejpam-4420	208	15	+	+	CCONJ
ejpam-4420	208	16	1	1	X
ejpam-4420	208	17	)	)	PUNCT
ejpam-4420	208	18	θ2(θ	θ2(θ	PROPN
ejpam-4420	209	1	+	+	NUM
ejpam-4420	209	2	1)2	1)2	NUM
ejpam-4420	209	3	,	,	PUNCT
ejpam-4420	209	4	1	1	NUM
ejpam-4420	209	5	n	n	NUM
ejpam-4420	209	6	n∑	n∑	NOUN
ejpam-4420	209	7	i=1	i=1	PROPN
ejpam-4420	210	1	x2i	x2i	PUNCT
ejpam-4420	210	2	−	−	PROPN
ejpam-4420	211	1	x̄2	x̄2	X
ejpam-4420	211	2	=	=	PUNCT
ejpam-4420	211	3	(	(	PUNCT
ejpam-4420	211	4	θ(θ	θ(θ	VERB
ejpam-4420	211	5	+	+	NUM
ejpam-4420	211	6	1)x̄	1)x̄	NUM
ejpam-4420	211	7	(	(	PUNCT
ejpam-4420	211	8	2θ	2θ	NUM
ejpam-4420	211	9	+	+	SYM
ejpam-4420	211	10	1	1	NUM
ejpam-4420	211	11	)	)	PUNCT
ejpam-4420	211	12	)	)	PUNCT
ejpam-4420	211	13	2	2	NUM
ejpam-4420	211	14	(	(	PUNCT
ejpam-4420	211	15	2θ2	2θ2	NOUN
ejpam-4420	212	1	+	+	CCONJ
ejpam-4420	212	2	4θ	4θ	NOUN
ejpam-4420	212	3	+	+	CCONJ
ejpam-4420	212	4	1	1	X
ejpam-4420	212	5	)	)	PUNCT
ejpam-4420	212	6	θ2(θ	θ2(θ	PROPN
ejpam-4420	213	1	+	+	NOUN
ejpam-4420	213	2	1)2	1)2	NUM
ejpam-4420	213	3	.	.	PUNCT
ejpam-4420	214	1	solving	solve	VERB
ejpam-4420	214	2	this	this	DET
ejpam-4420	214	3	equation	equation	NOUN
ejpam-4420	214	4	for	for	ADP
ejpam-4420	214	5	θ	θ	PROPN
ejpam-4420	214	6	,	,	PUNCT
ejpam-4420	214	7	we	we	PRON
ejpam-4420	214	8	get	get	VERB
ejpam-4420	214	9	θ̂	θ̂	PUNCT
ejpam-4420	214	10	=	=	PUNCT
ejpam-4420	214	11	(	(	PUNCT
ejpam-4420	214	12	2x̄2	2x̄2	NUM
ejpam-4420	214	13	−	−	NUM
ejpam-4420	214	14	1	1	NUM
ejpam-4420	215	1	n	n	NUM
ejpam-4420	215	2	n∑	n∑	NOUN
ejpam-4420	215	3	i=1	i=1	PROPN
ejpam-4420	215	4	x2i	x2i	PROPN
ejpam-4420	215	5	)	)	PUNCT
ejpam-4420	215	6	±	±	NOUN
ejpam-4420	215	7	√√√√x̄2	√√√√x̄2	NOUN
ejpam-4420	215	8	(	(	PUNCT
ejpam-4420	215	9	x̄2	x̄2	X
ejpam-4420	216	1	−	−	PROPN
ejpam-4420	216	2	1	1	NUM
ejpam-4420	216	3	2n	2n	NUM
ejpam-4420	216	4	n∑	n∑	X
ejpam-4420	216	5	i=1	i=1	X
ejpam-4420	216	6	x2i	x2i	PROPN
ejpam-4420	216	7	)	)	PUNCT
ejpam-4420	216	8	2	2	NUM
ejpam-4420	217	1	n	n	NUM
ejpam-4420	217	2	n∑	n∑	NOUN
ejpam-4420	217	3	i=1	i=1	PROPN
ejpam-4420	217	4	x2i	x2i	PROPN
ejpam-4420	218	1	−	−	PROPN
ejpam-4420	218	2	3x̄2	3x̄2	NUM
ejpam-4420	218	3	,	,	PUNCT
ejpam-4420	218	4	2	2	NUM
ejpam-4420	218	5	n	n	NUM
ejpam-4420	218	6	n∑	n∑	NOUN
ejpam-4420	218	7	i=1	i=1	PROPN
ejpam-4420	219	1	x2i	x2i	PUNCT
ejpam-4420	220	1	−	−	PROPN
ejpam-4420	221	1	3x̄2	3x̄2	NUM
ejpam-4420	222	1	̸=	̸=	PROPN
ejpam-4420	222	2	0	0	NUM
ejpam-4420	222	3	,	,	PUNCT
ejpam-4420	222	4	where	where	SCONJ
ejpam-4420	222	5	α̂	α̂	NOUN
ejpam-4420	222	6	,	,	PUNCT
ejpam-4420	222	7	θ̂	θ̂	NUM
ejpam-4420	222	8	are	be	AUX
ejpam-4420	222	9	the	the	DET
ejpam-4420	222	10	estimators	estimator	NOUN
ejpam-4420	222	11	of	of	ADP
ejpam-4420	222	12	the	the	DET
ejpam-4420	222	13	parameter	parameter	NOUN
ejpam-4420	222	14	θ	θ	PROPN
ejpam-4420	222	15	and	and	CCONJ
ejpam-4420	222	16	α	α	NOUN
ejpam-4420	222	17	,	,	PUNCT
ejpam-4420	222	18	respectively	respectively	ADV
ejpam-4420	222	19	.	.	PUNCT
ejpam-4420	223	1	this	this	DET
ejpam-4420	223	2	method	method	NOUN
ejpam-4420	223	3	will	will	AUX
ejpam-4420	223	4	be	be	AUX
ejpam-4420	223	5	referred	refer	VERB
ejpam-4420	223	6	to	to	ADP
ejpam-4420	223	7	as	as	ADP
ejpam-4420	223	8	method	method	NOUN
ejpam-4420	223	9	1	1	NUM
ejpam-4420	223	10	.	.	PUNCT
ejpam-4420	223	11	5.2	5.2	NUM
ejpam-4420	223	12	.	.	PUNCT
ejpam-4420	224	1	the	the	DET
ejpam-4420	224	2	maximum	maximum	ADJ
ejpam-4420	224	3	likelihood	likelihood	NOUN
ejpam-4420	224	4	estimates	estimate	NOUN
ejpam-4420	224	5	(	(	PUNCT
ejpam-4420	224	6	mle	mle	NOUN
ejpam-4420	224	7	)	)	PUNCT
ejpam-4420	224	8	let	let	VERB
ejpam-4420	224	9	x1	x1	NUM
ejpam-4420	224	10	,	,	PUNCT
ejpam-4420	224	11	x2	x2	PROPN
ejpam-4420	224	12	,	,	PUNCT
ejpam-4420	224	13	.	.	PUNCT
ejpam-4420	224	14	.	.	PUNCT
ejpam-4420	225	1	.	.	PUNCT
ejpam-4420	226	1	,	,	PUNCT
ejpam-4420	226	2	xn	xn	PROPN
ejpam-4420	226	3	be	be	AUX
ejpam-4420	226	4	a	a	DET
ejpam-4420	226	5	random	random	ADJ
ejpam-4420	226	6	sample	sample	NOUN
ejpam-4420	226	7	of	of	ADP
ejpam-4420	226	8	size	size	NOUN
ejpam-4420	226	9	n	n	CCONJ
ejpam-4420	226	10	from	from	ADP
ejpam-4420	226	11	new	new	ADJ
ejpam-4420	226	12	sushila	sushila	NOUN
ejpam-4420	226	13	distribution	distribution	NOUN
ejpam-4420	226	14	and	and	CCONJ
ejpam-4420	226	15	let	let	VERB
ejpam-4420	226	16	fx	fx	NOUN
ejpam-4420	226	17	be	be	AUX
ejpam-4420	226	18	the	the	DET
ejpam-4420	226	19	observed	observe	VERB
ejpam-4420	226	20	frequency	frequency	NOUN
ejpam-4420	226	21	in	in	ADP
ejpam-4420	226	22	the	the	DET
ejpam-4420	226	23	sample	sample	NOUN
ejpam-4420	226	24	corresponding	correspond	VERB
ejpam-4420	226	25	to	to	ADP
ejpam-4420	226	26	x	x	X
ejpam-4420	226	27	=	=	PUNCT
ejpam-4420	226	28	x	x	SYM
ejpam-4420	226	29	(	(	PUNCT
ejpam-4420	226	30	x	x	SYM
ejpam-4420	226	31	=	=	SYM
ejpam-4420	226	32	1	1	NUM
ejpam-4420	226	33	,	,	PUNCT
ejpam-4420	226	34	2	2	NUM
ejpam-4420	226	35	,	,	PUNCT
ejpam-4420	226	36	...	...	PUNCT
ejpam-4420	226	37	,	,	PUNCT
ejpam-4420	226	38	k	k	X
ejpam-4420	226	39	)	)	PUNCT
ejpam-4420	226	40	such	such	ADJ
ejpam-4420	226	41	that	that	SCONJ
ejpam-4420	226	42	∑k	∑k	PROPN
ejpam-4420	226	43	x=1	x=1	PUNCT
ejpam-4420	227	1	fx	fx	PROPN
ejpam-4420	227	2	=	=	PUNCT
ejpam-4420	227	3	n	n	CCONJ
ejpam-4420	227	4	,	,	PUNCT
ejpam-4420	227	5	where	where	SCONJ
ejpam-4420	227	6	k	k	PROPN
ejpam-4420	227	7	is	be	AUX
ejpam-4420	227	8	the	the	DET
ejpam-4420	227	9	largest	large	ADJ
ejpam-4420	227	10	observed	observed	ADJ
ejpam-4420	227	11	value	value	NOUN
ejpam-4420	227	12	having	have	VERB
ejpam-4420	227	13	non	non	ADJ
ejpam-4420	227	14	-	-	ADJ
ejpam-4420	227	15	zero	zero	NUM
ejpam-4420	227	16	frequency	frequency	NOUN
ejpam-4420	227	17	.	.	PUNCT
ejpam-4420	228	1	the	the	DET
ejpam-4420	228	2	likelihood	likelihood	NOUN
ejpam-4420	228	3	function	function	NOUN
ejpam-4420	228	4	,	,	PUNCT
ejpam-4420	228	5	l	l	NOUN
ejpam-4420	228	6	of	of	ADP
ejpam-4420	228	7	new	new	ADJ
ejpam-4420	228	8	sushila	sushila	NOUN
ejpam-4420	228	9	distribution	distribution	NOUN
ejpam-4420	228	10	is	be	AUX
ejpam-4420	228	11	given	give	VERB
ejpam-4420	228	12	by	by	ADP
ejpam-4420	228	13	l	l	NOUN
ejpam-4420	228	14	=	=	SYM
ejpam-4420	228	15	(	(	PUNCT
ejpam-4420	228	16	θ	θ	PROPN
ejpam-4420	228	17	α2(θ	α2(θ	PROPN
ejpam-4420	228	18	+	+	ADJ
ejpam-4420	228	19	1	1	NUM
ejpam-4420	228	20	)	)	PUNCT
ejpam-4420	228	21	)	)	PUNCT
ejpam-4420	229	1	n	n	X
ejpam-4420	229	2	k∏	k∏	PROPN
ejpam-4420	229	3	x=1	x=1	PROPN
ejpam-4420	229	4	(	(	PUNCT
ejpam-4420	229	5	α+	α+	X
ejpam-4420	229	6	θ2x	θ2x	PROPN
ejpam-4420	229	7	)	)	PUNCT
ejpam-4420	229	8	fx	fx	NOUN
ejpam-4420	229	9	e−	e−	PROPN
ejpam-4420	229	10	θ	θ	PROPN
ejpam-4420	230	1	α	α	PROPN
ejpam-4420	230	2	(	(	PUNCT
ejpam-4420	230	3	nx̄	nx̄	NOUN
ejpam-4420	230	4	)	)	PUNCT
ejpam-4420	230	5	,	,	PUNCT
ejpam-4420	230	6	and	and	CCONJ
ejpam-4420	230	7	so	so	ADV
ejpam-4420	230	8	the	the	DET
ejpam-4420	230	9	log	log	NOUN
ejpam-4420	230	10	likelihood	likelihood	NOUN
ejpam-4420	230	11	function	function	NOUN
ejpam-4420	230	12	is	be	AUX
ejpam-4420	230	13	obtained	obtain	VERB
ejpam-4420	230	14	as	as	ADP
ejpam-4420	230	15	logl	logl	NOUN
ejpam-4420	230	16	=	=	SYM
ejpam-4420	230	17	n	n	CCONJ
ejpam-4420	230	18	log	log	VERB
ejpam-4420	230	19	θ	θ	PROPN
ejpam-4420	230	20	−	−	NOUN
ejpam-4420	230	21	2n	2n	NUM
ejpam-4420	230	22	logα−	logα−	NOUN
ejpam-4420	230	23	n	n	PROPN
ejpam-4420	230	24	log(θ	log(θ	PROPN
ejpam-4420	230	25	+	+	NOUN
ejpam-4420	230	26	1	1	NUM
ejpam-4420	230	27	)	)	PUNCT
ejpam-4420	230	28	+	+	CCONJ
ejpam-4420	231	1	k∑	k∑	ADJ
ejpam-4420	231	2	x=1	x=1	PUNCT
ejpam-4420	231	3	fx	fx	PROPN
ejpam-4420	231	4	log(α+	log(α+	PROPN
ejpam-4420	231	5	θ2x)−	θ2x)−	PROPN
ejpam-4420	231	6	nθx̄	nθx̄	PROPN
ejpam-4420	232	1	α	α	X
ejpam-4420	232	2	.	.	PUNCT
ejpam-4420	233	1	(	(	PUNCT
ejpam-4420	233	2	5	5	NUM
ejpam-4420	233	3	)	)	PUNCT
ejpam-4420	233	4	by	by	ADP
ejpam-4420	233	5	differentiating	differentiate	VERB
ejpam-4420	233	6	equation	equation	NOUN
ejpam-4420	233	7	(	(	PUNCT
ejpam-4420	233	8	5	5	NUM
ejpam-4420	233	9	)	)	PUNCT
ejpam-4420	233	10	with	with	ADP
ejpam-4420	233	11	respect	respect	NOUN
ejpam-4420	233	12	to	to	ADP
ejpam-4420	233	13	θ	θ	PROPN
ejpam-4420	233	14	and	and	CCONJ
ejpam-4420	233	15	α	α	PROPN
ejpam-4420	233	16	,	,	PUNCT
ejpam-4420	233	17	is	be	AUX
ejpam-4420	233	18	obtained	obtain	VERB
ejpam-4420	233	19	by	by	ADP
ejpam-4420	233	20	:	:	PUNCT
ejpam-4420	233	21	∂	∂	NUM
ejpam-4420	233	22	logl	logl	NOUN
ejpam-4420	233	23	∂θ	∂θ	NOUN
ejpam-4420	233	24	=	=	SYM
ejpam-4420	233	25	0	0	NUM
ejpam-4420	233	26	,	,	PUNCT
ejpam-4420	233	27	∂	∂	NUM
ejpam-4420	233	28	logl	logl	NOUN
ejpam-4420	233	29	∂α	∂α	PROPN
ejpam-4420	233	30	=	=	NOUN
ejpam-4420	234	1	0	0	X
ejpam-4420	234	2	.	.	PUNCT
ejpam-4420	235	1	(	(	PUNCT
ejpam-4420	235	2	6	6	X
ejpam-4420	235	3	)	)	PUNCT
ejpam-4420	235	4	w.	w.	PROPN
ejpam-4420	235	5	ieosanurak	ieosanurak	PROPN
ejpam-4420	235	6	et	et	PROPN
ejpam-4420	236	1	al	al	PROPN
ejpam-4420	236	2	.	.	PUNCT
ejpam-4420	236	3	/	/	SYM
ejpam-4420	236	4	eur	eur	PROPN
ejpam-4420	236	5	.	.	PUNCT
ejpam-4420	237	1	j.	j.	PROPN
ejpam-4420	237	2	pure	pure	PROPN
ejpam-4420	237	3	appl	appl	PROPN
ejpam-4420	237	4	.	.	PROPN
ejpam-4420	237	5	math	math	PROPN
ejpam-4420	237	6	,	,	PUNCT
ejpam-4420	237	7	15	15	NUM
ejpam-4420	237	8	(	(	PUNCT
ejpam-4420	237	9	3	3	NUM
ejpam-4420	237	10	)	)	PUNCT
ejpam-4420	237	11	(	(	PUNCT
ejpam-4420	237	12	2022	2022	NUM
ejpam-4420	237	13	)	)	PUNCT
ejpam-4420	237	14	,	,	PUNCT
ejpam-4420	237	15	1280	1280	NUM
ejpam-4420	237	16	-	-	SYM
ejpam-4420	237	17	1300	1300	NUM
ejpam-4420	237	18	1290	1290	NUM
ejpam-4420	237	19	the	the	DET
ejpam-4420	237	20	equation	equation	NOUN
ejpam-4420	237	21	(	(	PUNCT
ejpam-4420	237	22	6	6	X
ejpam-4420	237	23	)	)	PUNCT
ejpam-4420	237	24	do	do	AUX
ejpam-4420	237	25	not	not	PART
ejpam-4420	237	26	seem	seem	VERB
ejpam-4420	237	27	to	to	PART
ejpam-4420	237	28	be	be	AUX
ejpam-4420	237	29	solved	solve	VERB
ejpam-4420	237	30	directly	directly	ADV
ejpam-4420	237	31	.	.	PUNCT
ejpam-4420	238	1	however	however	ADV
ejpam-4420	238	2	,	,	PUNCT
ejpam-4420	238	3	the	the	DET
ejpam-4420	238	4	fisher	fisher	PROPN
ejpam-4420	238	5	’s	’s	PART
ejpam-4420	238	6	scoring	scoring	NOUN
ejpam-4420	238	7	method	method	NOUN
ejpam-4420	238	8	can	can	AUX
ejpam-4420	238	9	be	be	AUX
ejpam-4420	238	10	applied	apply	VERB
ejpam-4420	238	11	to	to	PART
ejpam-4420	238	12	solve	solve	VERB
ejpam-4420	238	13	these	these	DET
ejpam-4420	238	14	equations	equation	NOUN
ejpam-4420	238	15	.	.	PUNCT
ejpam-4420	239	1	the	the	DET
ejpam-4420	239	2	following	follow	VERB
ejpam-4420	239	3	equations	equation	NOUN
ejpam-4420	239	4	for	for	ADP
ejpam-4420	239	5	θ̂	θ̂	PROPN
ejpam-4420	239	6	and	and	CCONJ
ejpam-4420	239	7	α̂	α̂	NUM
ejpam-4420	239	8	can	can	AUX
ejpam-4420	239	9	be	be	AUX
ejpam-4420	239	10	solved	solved	VERB
ejpam-4420	239	11	∂2	∂2	ADJ
ejpam-4420	239	12	logl	logl	NOUN
ejpam-4420	239	13	∂θ2	∂θ2	DET
ejpam-4420	239	14	∂2	∂2	PROPN
ejpam-4420	239	15	logl	logl	PROPN
ejpam-4420	239	16	∂θ∂α	∂θ∂α	PROPN
ejpam-4420	239	17	∂2	∂2	PROPN
ejpam-4420	239	18	logl	logl	PROPN
ejpam-4420	239	19	∂α∂θ	∂α∂θ	PROPN
ejpam-4420	239	20	∂2	∂2	PROPN
ejpam-4420	239	21	logl	logl	PROPN
ejpam-4420	239	22	∂α2	∂α2	PROPN
ejpam-4420	239	23			ADJ
ejpam-4420	239	24			NOUN
ejpam-4420	239	25	θ̂	θ̂	PUNCT
ejpam-4420	239	26	−	−	PROPN
ejpam-4420	239	27	θ0	θ0	PROPN
ejpam-4420	239	28	α̂−	α̂−	PROPN
ejpam-4420	239	29	α0	α0	ADJ
ejpam-4420	239	30			NOUN
ejpam-4420	239	31	=	=	SYM
ejpam-4420	239	32			NOUN
ejpam-4420	239	33	∂	∂	NUM
ejpam-4420	239	34	logl	logl	NOUN
ejpam-4420	239	35	∂θ	∂θ	PROPN
ejpam-4420	239	36	∂	∂	NUM
ejpam-4420	239	37	logl	logl	NOUN
ejpam-4420	239	38	∂α	∂α	PROPN
ejpam-4420	239	39			VERB
ejpam-4420	239	40	,	,	PUNCT
ejpam-4420	239	41	where	where	SCONJ
ejpam-4420	239	42	θ0	θ0	NOUN
ejpam-4420	239	43	and	and	CCONJ
ejpam-4420	239	44	α0	α0	PROPN
ejpam-4420	239	45	are	be	AUX
ejpam-4420	239	46	the	the	DET
ejpam-4420	239	47	initial	initial	ADJ
ejpam-4420	239	48	values	value	NOUN
ejpam-4420	239	49	of	of	ADP
ejpam-4420	239	50	θ	θ	PROPN
ejpam-4420	239	51	and	and	CCONJ
ejpam-4420	239	52	α	α	PRON
ejpam-4420	239	53	respectively	respectively	ADV
ejpam-4420	239	54	.	.	PUNCT
ejpam-4420	240	1	these	these	DET
ejpam-4420	240	2	equations	equation	NOUN
ejpam-4420	240	3	are	be	AUX
ejpam-4420	240	4	solved	solve	VERB
ejpam-4420	240	5	iteratively	iteratively	ADV
ejpam-4420	240	6	till	till	SCONJ
ejpam-4420	240	7	sufficiently	sufficiently	ADV
ejpam-4420	240	8	close	close	ADJ
ejpam-4420	240	9	estimates	estimate	NOUN
ejpam-4420	240	10	of	of	ADP
ejpam-4420	240	11	θ̂	θ̂	PROPN
ejpam-4420	240	12	and	and	CCONJ
ejpam-4420	240	13	α̂	α̂	NOUN
ejpam-4420	240	14	are	be	AUX
ejpam-4420	240	15	obtained	obtain	VERB
ejpam-4420	240	16	.	.	PUNCT
ejpam-4420	241	1	this	this	DET
ejpam-4420	241	2	method	method	NOUN
ejpam-4420	241	3	will	will	AUX
ejpam-4420	241	4	be	be	AUX
ejpam-4420	241	5	referred	refer	VERB
ejpam-4420	241	6	to	to	ADP
ejpam-4420	241	7	as	as	ADP
ejpam-4420	241	8	method	method	NOUN
ejpam-4420	241	9	2	2	NUM
ejpam-4420	241	10	.	.	NOUN
ejpam-4420	241	11	5.3	5.3	NUM
ejpam-4420	241	12	.	.	PUNCT
ejpam-4420	242	1	the	the	DET
ejpam-4420	242	2	unweighted	unweighted	ADJ
ejpam-4420	242	3	least	least	ADJ
ejpam-4420	242	4	squares	square	NOUN
ejpam-4420	242	5	(	(	PUNCT
ejpam-4420	242	6	uwls	uwls	ADJ
ejpam-4420	242	7	)	)	PUNCT
ejpam-4420	242	8	method	method	NOUN
ejpam-4420	242	9	via	via	ADP
ejpam-4420	242	10	the	the	DET
ejpam-4420	242	11	cdf	cdf	PROPN
ejpam-4420	242	12	let	let	VERB
ejpam-4420	242	13	x1	x1	NUM
ejpam-4420	242	14	,	,	PUNCT
ejpam-4420	242	15	x2	x2	PROPN
ejpam-4420	242	16	,	,	PUNCT
ejpam-4420	242	17	.	.	PUNCT
ejpam-4420	242	18	.	.	PUNCT
ejpam-4420	243	1	.	.	PUNCT
ejpam-4420	244	1	,	,	PUNCT
ejpam-4420	244	2	xn	xn	PROPN
ejpam-4420	244	3	be	be	VERB
ejpam-4420	244	4	n	n	PRON
ejpam-4420	244	5	independent	independent	ADJ
ejpam-4420	244	6	random	random	ADJ
ejpam-4420	244	7	variables	variable	NOUN
ejpam-4420	244	8	having	have	VERB
ejpam-4420	244	9	the	the	DET
ejpam-4420	244	10	new	new	ADJ
ejpam-4420	244	11	sushila	sushila	NOUN
ejpam-4420	244	12	distribution	distribution	NOUN
ejpam-4420	244	13	with	with	ADP
ejpam-4420	244	14	parameters	parameter	NOUN
ejpam-4420	244	15	α	α	NOUN
ejpam-4420	244	16	and	and	CCONJ
ejpam-4420	244	17	θ	θ	PROPN
ejpam-4420	244	18	.	.	PROPN
ejpam-4420	244	19	without	without	ADP
ejpam-4420	244	20	loss	loss	NOUN
ejpam-4420	244	21	of	of	ADP
ejpam-4420	244	22	generality	generality	NOUN
ejpam-4420	244	23	,	,	PUNCT
ejpam-4420	244	24	suppose	suppose	VERB
ejpam-4420	244	25	that	that	SCONJ
ejpam-4420	244	26	x1	x1	PRON
ejpam-4420	244	27	<	<	X
ejpam-4420	244	28	x2	x2	X
ejpam-4420	244	29	<	<	X
ejpam-4420	244	30	·	·	PUNCT
ejpam-4420	244	31	·	·	PUNCT
ejpam-4420	244	32	·	·	PUNCT
ejpam-4420	244	33	<	<	X
ejpam-4420	244	34	xn	xn	PUNCT
ejpam-4420	244	35	are	be	AUX
ejpam-4420	244	36	the	the	DET
ejpam-4420	244	37	order	order	NOUN
ejpam-4420	244	38	statistics	statistic	NOUN
ejpam-4420	244	39	and	and	CCONJ
ejpam-4420	244	40	by	by	ADP
ejpam-4420	244	41	taking	take	VERB
ejpam-4420	244	42	the	the	DET
ejpam-4420	244	43	natural	natural	ADJ
ejpam-4420	244	44	logarithm	logarithm	NOUN
ejpam-4420	244	45	on	on	ADP
ejpam-4420	244	46	the	the	DET
ejpam-4420	244	47	both	both	DET
ejpam-4420	244	48	sides	side	NOUN
ejpam-4420	244	49	of	of	ADP
ejpam-4420	244	50	equation	equation	NOUN
ejpam-4420	244	51	(	(	PUNCT
ejpam-4420	244	52	4	4	NUM
ejpam-4420	244	53	)	)	PUNCT
ejpam-4420	244	54	,	,	PUNCT
ejpam-4420	244	55	we	we	PRON
ejpam-4420	244	56	obtain	obtain	VERB
ejpam-4420	244	57	that	that	SCONJ
ejpam-4420	244	58	log(f	log(f	PROPN
ejpam-4420	244	59	(	(	PUNCT
ejpam-4420	244	60	x	x	NOUN
ejpam-4420	244	61	)	)	PUNCT
ejpam-4420	244	62	)	)	PUNCT
ejpam-4420	245	1	=	=	PRON
ejpam-4420	245	2	log	log	NOUN
ejpam-4420	245	3	(	(	PUNCT
ejpam-4420	245	4	1−	1−	NUM
ejpam-4420	245	5	(	(	PUNCT
ejpam-4420	245	6	αθ	αθ	NOUN
ejpam-4420	245	7	+	+	X
ejpam-4420	245	8	α+	α+	NOUN
ejpam-4420	245	9	θ2x)e−	θ2x)e−	X
ejpam-4420	245	10	θx	θx	ADP
ejpam-4420	245	11	α	α	NOUN
ejpam-4420	245	12	α(θ	α(θ	NOUN
ejpam-4420	245	13	+	+	ADP
ejpam-4420	245	14	1	1	NUM
ejpam-4420	245	15	)	)	PUNCT
ejpam-4420	245	16	)	)	PUNCT
ejpam-4420	245	17	,	,	PUNCT
ejpam-4420	245	18	x	x	X
ejpam-4420	245	19	,	,	PUNCT
ejpam-4420	245	20	α	α	X
ejpam-4420	245	21	,	,	PUNCT
ejpam-4420	245	22	θ	θ	PROPN
ejpam-4420	245	23	>	>	X
ejpam-4420	245	24	0	0	PUNCT
ejpam-4420	246	1	=	=	SYM
ejpam-4420	246	2	log	log	NOUN
ejpam-4420	246	3	(	(	PUNCT
ejpam-4420	246	4	(	(	PUNCT
ejpam-4420	246	5	θ	θ	PROPN
ejpam-4420	246	6	+	+	PROPN
ejpam-4420	246	7	1)−	1)−	NUM
ejpam-4420	246	8	(	(	PUNCT
ejpam-4420	246	9	θ	θ	PROPN
ejpam-4420	246	10	+	+	CCONJ
ejpam-4420	246	11	1	1	NUM
ejpam-4420	246	12	+	+	NUM
ejpam-4420	246	13	θ2x	θ2x	PROPN
ejpam-4420	246	14	α	α	NOUN
ejpam-4420	246	15	)	)	PUNCT
ejpam-4420	246	16	e−	e−	PROPN
ejpam-4420	246	17	θx	θx	ADP
ejpam-4420	246	18	α	α	NOUN
ejpam-4420	246	19	)	)	PUNCT
ejpam-4420	246	20	−	−	PUNCT
ejpam-4420	247	1	log(θ	log(θ	PROPN
ejpam-4420	247	2	+	+	NOUN
ejpam-4420	247	3	1	1	NUM
ejpam-4420	247	4	)	)	PUNCT
ejpam-4420	247	5	.	.	PUNCT
ejpam-4420	248	1	let	let	VERB
ejpam-4420	248	2	0	0	PUNCT
ejpam-4420	248	3	<	<	X
ejpam-4420	249	1	x1	x1	X
ejpam-4420	249	2	<	<	X
ejpam-4420	249	3	x2	x2	X
ejpam-4420	249	4	<	<	X
ejpam-4420	249	5	·	·	PUNCT
ejpam-4420	249	6	·	·	PUNCT
ejpam-4420	249	7	·	·	PUNCT
ejpam-4420	249	8	<	<	X
ejpam-4420	249	9	xn	xn	AUX
ejpam-4420	249	10	be	be	VERB
ejpam-4420	249	11	n	n	PRON
ejpam-4420	249	12	orders	order	NOUN
ejpam-4420	249	13	observations	observation	NOUN
ejpam-4420	249	14	,	,	PUNCT
ejpam-4420	249	15	then	then	ADV
ejpam-4420	249	16	log(f	log(f	PROPN
ejpam-4420	249	17	(	(	PUNCT
ejpam-4420	249	18	xi	xi	NOUN
ejpam-4420	249	19	)	)	PUNCT
ejpam-4420	249	20	)	)	PUNCT
ejpam-4420	250	1	=	=	PRON
ejpam-4420	250	2	log	log	NOUN
ejpam-4420	250	3	(	(	PUNCT
ejpam-4420	250	4	(	(	PUNCT
ejpam-4420	250	5	θ	θ	PROPN
ejpam-4420	250	6	+	+	PROPN
ejpam-4420	250	7	1)−	1)−	NUM
ejpam-4420	250	8	(	(	PUNCT
ejpam-4420	250	9	θ	θ	PROPN
ejpam-4420	250	10	+	+	CCONJ
ejpam-4420	250	11	1	1	NUM
ejpam-4420	250	12	+	+	NUM
ejpam-4420	250	13	θ2xi	θ2xi	NOUN
ejpam-4420	250	14	α	α	NOUN
ejpam-4420	250	15	)	)	PUNCT
ejpam-4420	250	16	e−	e−	PROPN
ejpam-4420	250	17	θxi	θxi	PROPN
ejpam-4420	250	18	α	α	PROPN
ejpam-4420	250	19	)	)	PUNCT
ejpam-4420	250	20	−	−	PROPN
ejpam-4420	251	1	log(θ	log(θ	PROPN
ejpam-4420	251	2	+	+	NOUN
ejpam-4420	251	3	1	1	NUM
ejpam-4420	251	4	)	)	PUNCT
ejpam-4420	251	5	,	,	PUNCT
ejpam-4420	251	6	x	x	X
ejpam-4420	251	7	,	,	PUNCT
ejpam-4420	251	8	α	α	X
ejpam-4420	251	9	,	,	PUNCT
ejpam-4420	251	10	θ	θ	PROPN
ejpam-4420	251	11	>	>	X
ejpam-4420	251	12	0	0	X
ejpam-4420	251	13	.	.	PUNCT
ejpam-4420	252	1	let	let	VERB
ejpam-4420	252	2	the	the	DET
ejpam-4420	252	3	empirical	empirical	ADJ
ejpam-4420	252	4	distribution	distribution	NOUN
ejpam-4420	252	5	function	function	NOUN
ejpam-4420	252	6	of	of	ADP
ejpam-4420	252	7	x	x	PART
ejpam-4420	252	8	be	be	AUX
ejpam-4420	252	9	denoted	denote	VERB
ejpam-4420	252	10	by	by	ADP
ejpam-4420	252	11	fn(x	fn(x	NOUN
ejpam-4420	252	12	)	)	PUNCT
ejpam-4420	252	13	,	,	PUNCT
ejpam-4420	252	14	by	by	ADP
ejpam-4420	252	15	reference	reference	NOUN
ejpam-4420	252	16	[	[	X
ejpam-4420	252	17	4	4	NUM
ejpam-4420	252	18	]	]	PUNCT
ejpam-4420	252	19	,	,	PUNCT
ejpam-4420	252	20	the	the	DET
ejpam-4420	252	21	estimator	estimator	NOUN
ejpam-4420	252	22	of	of	ADP
ejpam-4420	252	23	f	f	PROPN
ejpam-4420	252	24	(	(	PUNCT
ejpam-4420	252	25	xi	xi	PROPN
ejpam-4420	252	26	)	)	PUNCT
ejpam-4420	252	27	can	can	AUX
ejpam-4420	252	28	be	be	AUX
ejpam-4420	252	29	considered	consider	VERB
ejpam-4420	252	30	fn(xi	fn(xi	ADJ
ejpam-4420	252	31	)	)	PUNCT
ejpam-4420	253	1	=	=	SYM
ejpam-4420	253	2	i−	i−	PROPN
ejpam-4420	253	3	d	d	PROPN
ejpam-4420	253	4	n−	n−	PROPN
ejpam-4420	253	5	2d+	2d+	NOUN
ejpam-4420	253	6	1	1	NUM
ejpam-4420	253	7	,	,	PUNCT
ejpam-4420	253	8	i	i	PRON
ejpam-4420	253	9	=	=	NOUN
ejpam-4420	253	10	1	1	NUM
ejpam-4420	253	11	,	,	PUNCT
ejpam-4420	253	12	2	2	NUM
ejpam-4420	253	13	,	,	PUNCT
ejpam-4420	253	14	.	.	PUNCT
ejpam-4420	253	15	.	.	PUNCT
ejpam-4420	254	1	.	.	PUNCT
ejpam-4420	255	1	,	,	PUNCT
ejpam-4420	255	2	n	n	CCONJ
ejpam-4420	255	3	,	,	PUNCT
ejpam-4420	255	4	(	(	PUNCT
ejpam-4420	255	5	7	7	X
ejpam-4420	255	6	)	)	PUNCT
ejpam-4420	255	7	for	for	ADP
ejpam-4420	255	8	some	some	DET
ejpam-4420	255	9	real	real	ADJ
ejpam-4420	255	10	number	number	NOUN
ejpam-4420	255	11	d	d	NOUN
ejpam-4420	255	12	,	,	PUNCT
ejpam-4420	255	13	0	0	NUM
ejpam-4420	255	14	≤	≤	NUM
ejpam-4420	256	1	d	d	SYM
ejpam-4420	256	2	≤	≤	NUM
ejpam-4420	256	3	1	1	NUM
ejpam-4420	256	4	.	.	PUNCT
ejpam-4420	257	1	so	so	ADV
ejpam-4420	257	2	,	,	PUNCT
ejpam-4420	257	3	we	we	PRON
ejpam-4420	257	4	choose	choose	VERB
ejpam-4420	257	5	four	four	NUM
ejpam-4420	257	6	popular	popular	ADJ
ejpam-4420	257	7	expressions	expression	NOUN
ejpam-4420	257	8	(	(	PUNCT
ejpam-4420	257	9	see	see	VERB
ejpam-4420	257	10	also	also	ADV
ejpam-4420	257	11	[	[	X
ejpam-4420	257	12	1	1	NUM
ejpam-4420	257	13	]	]	PUNCT
ejpam-4420	257	14	)	)	PUNCT
ejpam-4420	257	15	that	that	PRON
ejpam-4420	257	16	are	be	AUX
ejpam-4420	257	17	often	often	ADV
ejpam-4420	257	18	used	use	VERB
ejpam-4420	257	19	as	as	ADP
ejpam-4420	257	20	estimators	estimator	NOUN
ejpam-4420	257	21	of	of	ADP
ejpam-4420	257	22	f	f	PROPN
ejpam-4420	257	23	(	(	PUNCT
ejpam-4420	257	24	xi	xi	PROPN
ejpam-4420	257	25	)	)	PUNCT
ejpam-4420	257	26	uik	uik	NOUN
ejpam-4420	257	27	=	=	NOUN
ejpam-4420	257	28			PROPN
ejpam-4420	258	1	i	i	PRON
ejpam-4420	258	2	n+1	n+1	PROPN
ejpam-4420	258	3	,	,	PUNCT
ejpam-4420	258	4	k	k	PROPN
ejpam-4420	258	5	=	=	SYM
ejpam-4420	258	6	1	1	NUM
ejpam-4420	258	7	i−0.3	i−0.3	ADJ
ejpam-4420	258	8	n+0.4	n+0.4	NOUN
ejpam-4420	258	9	,	,	PUNCT
ejpam-4420	258	10	k	k	NOUN
ejpam-4420	258	11	=	=	SYM
ejpam-4420	258	12	2	2	X
ejpam-4420	258	13	i−0.375	i−0.375	NOUN
ejpam-4420	258	14	n+0.25	n+0.25	PROPN
ejpam-4420	258	15	,	,	PUNCT
ejpam-4420	258	16	k	k	PROPN
ejpam-4420	259	1	=	=	SYM
ejpam-4420	259	2	3	3	NUM
ejpam-4420	259	3	i−r	i−r	NOUN
ejpam-4420	259	4	n	n	PROPN
ejpam-4420	259	5	,	,	PUNCT
ejpam-4420	259	6	k	k	PROPN
ejpam-4420	259	7	=	=	SYM
ejpam-4420	259	8	4	4	NUM
ejpam-4420	259	9	,	,	PUNCT
ejpam-4420	259	10	w.	w.	PROPN
ejpam-4420	259	11	ieosanurak	ieosanurak	PROPN
ejpam-4420	259	12	et	et	PROPN
ejpam-4420	260	1	al	al	PROPN
ejpam-4420	260	2	.	.	PUNCT
ejpam-4420	260	3	/	/	SYM
ejpam-4420	260	4	eur	eur	PROPN
ejpam-4420	260	5	.	.	PUNCT
ejpam-4420	261	1	j.	j.	PROPN
ejpam-4420	261	2	pure	pure	PROPN
ejpam-4420	261	3	appl	appl	PROPN
ejpam-4420	261	4	.	.	PROPN
ejpam-4420	261	5	math	math	PROPN
ejpam-4420	261	6	,	,	PUNCT
ejpam-4420	261	7	15	15	NUM
ejpam-4420	261	8	(	(	PUNCT
ejpam-4420	261	9	3	3	NUM
ejpam-4420	261	10	)	)	PUNCT
ejpam-4420	261	11	(	(	PUNCT
ejpam-4420	261	12	2022	2022	NUM
ejpam-4420	261	13	)	)	PUNCT
ejpam-4420	261	14	,	,	PUNCT
ejpam-4420	261	15	1280	1280	NUM
ejpam-4420	261	16	-	-	SYM
ejpam-4420	261	17	1300	1300	NUM
ejpam-4420	261	18	1291	1291	NUM
ejpam-4420	261	19	i	i	NOUN
ejpam-4420	261	20	=	=	NOUN
ejpam-4420	261	21	1	1	NUM
ejpam-4420	261	22	,	,	PUNCT
ejpam-4420	261	23	2	2	NUM
ejpam-4420	261	24	,	,	PUNCT
ejpam-4420	261	25	3	3	NUM
ejpam-4420	261	26	,	,	PUNCT
ejpam-4420	261	27	.	.	PUNCT
ejpam-4420	261	28	.	.	PUNCT
ejpam-4420	262	1	.	.	PUNCT
ejpam-4420	263	1	,	,	PUNCT
ejpam-4420	263	2	n	n	CCONJ
ejpam-4420	263	3	and	and	CCONJ
ejpam-4420	263	4	for	for	ADP
ejpam-4420	263	5	some	some	DET
ejpam-4420	263	6	real	real	ADJ
ejpam-4420	263	7	number	number	NOUN
ejpam-4420	263	8	r	r	NOUN
ejpam-4420	263	9	∈	∈	PROPN
ejpam-4420	263	10	(	(	PUNCT
ejpam-4420	263	11	0	0	NUM
ejpam-4420	263	12	,	,	PUNCT
ejpam-4420	263	13	1	1	NUM
ejpam-4420	263	14	)	)	PUNCT
ejpam-4420	263	15	.	.	PUNCT
ejpam-4420	264	1	we	we	PRON
ejpam-4420	264	2	estimate	estimate	VERB
ejpam-4420	264	3	α	α	PRON
ejpam-4420	264	4	and	and	CCONJ
ejpam-4420	264	5	θ	θ	PROPN
ejpam-4420	264	6	by	by	ADP
ejpam-4420	264	7	the	the	DET
ejpam-4420	264	8	unweighted	unweighted	ADJ
ejpam-4420	264	9	least	least	ADJ
ejpam-4420	264	10	squares	square	NOUN
ejpam-4420	264	11	method	method	NOUN
ejpam-4420	264	12	,	,	PUNCT
ejpam-4420	264	13	by	by	ADP
ejpam-4420	264	14	using	use	VERB
ejpam-4420	264	15	minimizing	minimize	VERB
ejpam-4420	264	16	function	function	NOUN
ejpam-4420	264	17	ek(α	ek(α	X
ejpam-4420	264	18	,	,	PUNCT
ejpam-4420	264	19	θ	θ	NOUN
ejpam-4420	264	20	)	)	PUNCT
ejpam-4420	264	21	=	=	SYM
ejpam-4420	265	1	n∑	n∑	NOUN
ejpam-4420	265	2	i=1	i=1	PROPN
ejpam-4420	266	1	(	(	PUNCT
ejpam-4420	266	2	log(uik)−	log(uik)−	NOUN
ejpam-4420	266	3	log	log	NOUN
ejpam-4420	266	4	(	(	PUNCT
ejpam-4420	266	5	(	(	PUNCT
ejpam-4420	266	6	θ	θ	PROPN
ejpam-4420	266	7	+	+	PROPN
ejpam-4420	266	8	1)−	1)−	NUM
ejpam-4420	266	9	(	(	PUNCT
ejpam-4420	266	10	θ	θ	PROPN
ejpam-4420	266	11	+	+	CCONJ
ejpam-4420	266	12	1	1	NUM
ejpam-4420	266	13	+	+	NUM
ejpam-4420	266	14	θ2xi	θ2xi	NOUN
ejpam-4420	266	15	α	α	NOUN
ejpam-4420	266	16	)	)	PUNCT
ejpam-4420	266	17	e−	e−	PROPN
ejpam-4420	266	18	θxi	θxi	PROPN
ejpam-4420	266	19	α	α	PROPN
ejpam-4420	266	20	)	)	PUNCT
ejpam-4420	267	1	+	+	CCONJ
ejpam-4420	267	2	log(θ	log(θ	PROPN
ejpam-4420	267	3	+	+	ADJ
ejpam-4420	267	4	1	1	NUM
ejpam-4420	267	5	)	)	PUNCT
ejpam-4420	267	6	)	)	PUNCT
ejpam-4420	267	7	2	2	NUM
ejpam-4420	267	8	,	,	PUNCT
ejpam-4420	267	9	(	(	PUNCT
ejpam-4420	267	10	8)	8)	NUM
ejpam-4420	267	11	k	k	NOUN
ejpam-4420	267	12	=	=	SYM
ejpam-4420	267	13	1	1	NUM
ejpam-4420	267	14	,	,	PUNCT
ejpam-4420	267	15	2	2	NUM
ejpam-4420	267	16	,	,	PUNCT
ejpam-4420	267	17	3	3	NUM
ejpam-4420	267	18	,	,	PUNCT
ejpam-4420	267	19	4	4	NUM
ejpam-4420	267	20	.	.	PUNCT
ejpam-4420	267	21	by	by	ADP
ejpam-4420	267	22	solving	solve	VERB
ejpam-4420	267	23	∂	∂	NOUN
ejpam-4420	267	24	∂α	∂α	PROPN
ejpam-4420	267	25	ek(α	ek(α	X
ejpam-4420	267	26	,	,	PUNCT
ejpam-4420	267	27	θ	θ	NOUN
ejpam-4420	267	28	)	)	PUNCT
ejpam-4420	267	29	=	=	SYM
ejpam-4420	267	30	0	0	NUM
ejpam-4420	267	31	∂	∂	NUM
ejpam-4420	267	32	∂θ	∂θ	PROPN
ejpam-4420	267	33	ek(α	ek(α	X
ejpam-4420	267	34	,	,	PUNCT
ejpam-4420	267	35	θ	θ	NOUN
ejpam-4420	267	36	)	)	PUNCT
ejpam-4420	267	37	=	=	SYM
ejpam-4420	267	38	0	0	NUM
ejpam-4420	267	39	,	,	PUNCT
ejpam-4420	267	40	k	k	NOUN
ejpam-4420	267	41	=	=	SYM
ejpam-4420	267	42	1	1	NUM
ejpam-4420	267	43	,	,	PUNCT
ejpam-4420	267	44	2	2	NUM
ejpam-4420	267	45	,	,	PUNCT
ejpam-4420	267	46	3	3	NUM
ejpam-4420	267	47	,	,	PUNCT
ejpam-4420	267	48	4	4	NUM
ejpam-4420	267	49	.	.	PUNCT
ejpam-4420	268	1	we	we	PRON
ejpam-4420	268	2	denoted	denote	VERB
ejpam-4420	268	3	by	by	ADP
ejpam-4420	268	4	a(xi	a(xi	PROPN
ejpam-4420	268	5	,	,	PUNCT
ejpam-4420	268	6	α	α	NOUN
ejpam-4420	268	7	,	,	PUNCT
ejpam-4420	268	8	θ	θ	NOUN
ejpam-4420	268	9	)	)	PUNCT
ejpam-4420	268	10	=	=	PUNCT
ejpam-4420	268	11	xi(α+	xi(α+	PROPN
ejpam-4420	268	12	θ2xi	θ2xi	X
ejpam-4420	268	13	)	)	PUNCT
ejpam-4420	268	14	log	log	NOUN
ejpam-4420	268	15	(	(	PUNCT
ejpam-4420	268	16	−e−	−e−	VERB
ejpam-4420	268	17	θxi	θxi	PROPN
ejpam-4420	268	18	α	α	PROPN
ejpam-4420	268	19	(	(	PUNCT
ejpam-4420	268	20	θ2xi	θ2xi	NOUN
ejpam-4420	268	21	α	α	NOUN
ejpam-4420	269	1	+	+	NUM
ejpam-4420	269	2	θ	θ	NOUN
ejpam-4420	269	3	+	+	NOUN
ejpam-4420	269	4	1	1	X
ejpam-4420	269	5	)	)	PUNCT
ejpam-4420	269	6	+	+	NUM
ejpam-4420	269	7	θ	θ	NOUN
ejpam-4420	270	1	+	+	CCONJ
ejpam-4420	270	2	1	1	NUM
ejpam-4420	270	3	)	)	PUNCT
ejpam-4420	270	4	,	,	PUNCT
ejpam-4420	270	5	bk(xi	bk(xi	VERB
ejpam-4420	270	6	,	,	PUNCT
ejpam-4420	270	7	α	α	NOUN
ejpam-4420	270	8	,	,	PUNCT
ejpam-4420	270	9	θ	θ	NOUN
ejpam-4420	270	10	)	)	PUNCT
ejpam-4420	270	11	=	=	PUNCT
ejpam-4420	270	12	xi(α+	xi(α+	PRON
ejpam-4420	270	13	θ2xi	θ2xi	NOUN
ejpam-4420	270	14	)	)	PUNCT
ejpam-4420	270	15	log(uik	log(uik	NOUN
ejpam-4420	270	16	)	)	PUNCT
ejpam-4420	270	17	,	,	PUNCT
ejpam-4420	270	18	c(xi	c(xi	PROPN
ejpam-4420	270	19	,	,	PUNCT
ejpam-4420	270	20	α	α	NOUN
ejpam-4420	270	21	,	,	PUNCT
ejpam-4420	270	22	θ	θ	NOUN
ejpam-4420	270	23	)	)	PUNCT
ejpam-4420	271	1	=	=	SYM
ejpam-4420	271	2	α(θ	α(θ	NOUN
ejpam-4420	271	3	+	+	CCONJ
ejpam-4420	271	4	1)(e	1)(e	NUM
ejpam-4420	271	5	θxi	θxi	NOUN
ejpam-4420	271	6	α	α	NOUN
ejpam-4420	271	7	−	−	PROPN
ejpam-4420	271	8	1)−	1)−	PROPN
ejpam-4420	271	9	θ2xi	θ2xi	NOUN
ejpam-4420	271	10	,	,	PUNCT
ejpam-4420	271	11	dk(xi	dk(xi	PROPN
ejpam-4420	271	12	,	,	PUNCT
ejpam-4420	271	13	α	α	NOUN
ejpam-4420	271	14	,	,	PUNCT
ejpam-4420	271	15	θ	θ	NOUN
ejpam-4420	271	16	)	)	PUNCT
ejpam-4420	271	17	=	=	SYM
ejpam-4420	271	18	xi[log(uik	xi[log(uik	NUM
ejpam-4420	271	19	)	)	PUNCT
ejpam-4420	272	1	+	+	CCONJ
ejpam-4420	272	2	log(θ	log(θ	PROPN
ejpam-4420	272	3	+	+	PROPN
ejpam-4420	272	4	1)−	1)−	PROPN
ejpam-4420	272	5	log(−e−	log(−e−	PROPN
ejpam-4420	272	6	θxi	θxi	PROPN
ejpam-4420	272	7	α	α	PROPN
ejpam-4420	272	8	(	(	PUNCT
ejpam-4420	272	9	θ2xi	θ2xi	NOUN
ejpam-4420	272	10	α	α	NOUN
ejpam-4420	272	11	+	+	NUM
ejpam-4420	272	12	θ	θ	NOUN
ejpam-4420	272	13	+	+	NOUN
ejpam-4420	272	14	1	1	X
ejpam-4420	272	15	)	)	PUNCT
ejpam-4420	272	16	+	+	NUM
ejpam-4420	272	17	θ	θ	PROPN
ejpam-4420	272	18	+	+	NOUN
ejpam-4420	272	19	1	1	NUM
ejpam-4420	272	20	)	)	PUNCT
ejpam-4420	272	21	]	]	PUNCT
ejpam-4420	272	22	(	(	PUNCT
ejpam-4420	272	23	θ	θ	X
ejpam-4420	272	24	+	+	PUNCT
ejpam-4420	272	25	1)[α(θ	1)[α(θ	NUM
ejpam-4420	272	26	+	+	CCONJ
ejpam-4420	272	27	1)(e	1)(e	NUM
ejpam-4420	272	28	θxi	θxi	NOUN
ejpam-4420	272	29	α	α	NOUN
ejpam-4420	272	30	−	−	PROPN
ejpam-4420	272	31	1)−	1)−	PROPN
ejpam-4420	272	32	θ2xi	θ2xi	NOUN
ejpam-4420	272	33	,	,	PUNCT
ejpam-4420	272	34	where	where	SCONJ
ejpam-4420	272	35	α̂	α̂	NUM
ejpam-4420	272	36	is	be	AUX
ejpam-4420	272	37	the	the	DET
ejpam-4420	272	38	estimator	estimator	NOUN
ejpam-4420	272	39	of	of	ADP
ejpam-4420	272	40	the	the	DET
ejpam-4420	272	41	parameter	parameter	NOUN
ejpam-4420	272	42	α	α	NOUN
ejpam-4420	272	43	with	with	ADP
ejpam-4420	272	44	this	this	DET
ejpam-4420	272	45	method	method	NOUN
ejpam-4420	272	46	.	.	PUNCT
ejpam-4420	273	1	using	use	VERB
ejpam-4420	273	2	some	some	DET
ejpam-4420	273	3	algebraic	algebraic	ADJ
ejpam-4420	273	4	manipulations	manipulation	NOUN
ejpam-4420	273	5	,	,	PUNCT
ejpam-4420	273	6	θ̂	θ̂	X
ejpam-4420	273	7	satisfies	satisfy	VERB
ejpam-4420	273	8	the	the	DET
ejpam-4420	273	9	following	follow	VERB
ejpam-4420	273	10	equation	equation	NOUN
ejpam-4420	273	11	:	:	PUNCT
ejpam-4420	273	12	θ̂	θ̂	X
ejpam-4420	273	13	=	=	SYM
ejpam-4420	273	14	exp	exp	NOUN
ejpam-4420	273	15			PROPN
ejpam-4420	273	16	∑n	∑n	PROPN
ejpam-4420	273	17	i=1	i=1	PROPN
ejpam-4420	273	18	a(xi	a(xi	PROPN
ejpam-4420	273	19	,	,	PUNCT
ejpam-4420	273	20	α	α	NOUN
ejpam-4420	273	21	,	,	PUNCT
ejpam-4420	273	22	θ	θ	NOUN
ejpam-4420	273	23	)	)	PUNCT
ejpam-4420	273	24	ck(xi	ck(xi	PROPN
ejpam-4420	273	25	,	,	PUNCT
ejpam-4420	273	26	α	α	X
ejpam-4420	273	27	,	,	PUNCT
ejpam-4420	273	28	θ	θ	NOUN
ejpam-4420	273	29	)	)	PUNCT
ejpam-4420	273	30	−	−	PROPN
ejpam-4420	274	1	∑n	∑n	PROPN
ejpam-4420	274	2	i=1	i=1	PROPN
ejpam-4420	274	3	bk(xi	bk(xi	PROPN
ejpam-4420	274	4	,	,	PUNCT
ejpam-4420	274	5	α	α	NOUN
ejpam-4420	274	6	,	,	PUNCT
ejpam-4420	274	7	θ	θ	NOUN
ejpam-4420	274	8	)	)	PUNCT
ejpam-4420	274	9	c(xi	c(xi	PROPN
ejpam-4420	274	10	,	,	PUNCT
ejpam-4420	274	11	α	α	X
ejpam-4420	274	12	,	,	PUNCT
ejpam-4420	274	13	θ)∑n	θ)∑n	PROPN
ejpam-4420	274	14	i=1	i=1	PROPN
ejpam-4420	274	15	xi(α+	xi(α+	PRON
ejpam-4420	274	16	θ2xi	θ2xi	ADV
ejpam-4420	274	17	)	)	PUNCT
ejpam-4420	274	18	c(xi	c(xi	PROPN
ejpam-4420	274	19	,	,	PUNCT
ejpam-4420	274	20	α	α	NOUN
ejpam-4420	274	21	,	,	PUNCT
ejpam-4420	274	22	θ	θ	NOUN
ejpam-4420	274	23	)	)	PUNCT
ejpam-4420	274	24	−	−	NOUN
ejpam-4420	274	25	1	1	NUM
ejpam-4420	274	26	,	,	PUNCT
ejpam-4420	274	27	and	and	CCONJ
ejpam-4420	274	28	α̂	α̂	NUM
ejpam-4420	274	29	=	=	SYM
ejpam-4420	275	1	n∑	n∑	NOUN
ejpam-4420	275	2	i=1	i=1	PROPN
ejpam-4420	275	3	(	(	PUNCT
ejpam-4420	275	4	θ	θ	PROPN
ejpam-4420	275	5	+	+	NOUN
ejpam-4420	275	6	1)θ2xidk(xi	1)θ2xidk(xi	NUM
ejpam-4420	275	7	,	,	PUNCT
ejpam-4420	275	8	α	α	NOUN
ejpam-4420	275	9	,	,	PUNCT
ejpam-4420	275	10	θ	θ	NOUN
ejpam-4420	275	11	)	)	PUNCT
ejpam-4420	275	12	dk(xi	dk(xi	PROPN
ejpam-4420	275	13	,	,	PUNCT
ejpam-4420	275	14	α	α	NOUN
ejpam-4420	275	15	,	,	PUNCT
ejpam-4420	275	16	θ	θ	NOUN
ejpam-4420	275	17	)	)	PUNCT
ejpam-4420	275	18	,	,	PUNCT
ejpam-4420	275	19	for	for	ADP
ejpam-4420	275	20	k	k	PROPN
ejpam-4420	275	21	=	=	SYM
ejpam-4420	275	22	1	1	NUM
ejpam-4420	275	23	,	,	PUNCT
ejpam-4420	275	24	2	2	NUM
ejpam-4420	275	25	,	,	PUNCT
ejpam-4420	275	26	3	3	NUM
ejpam-4420	275	27	,	,	PUNCT
ejpam-4420	275	28	4	4	NUM
ejpam-4420	275	29	.	.	PUNCT
ejpam-4420	276	1	these	these	DET
ejpam-4420	276	2	four	four	NUM
ejpam-4420	276	3	uwls	uwls	ADJ
ejpam-4420	276	4	methods	method	NOUN
ejpam-4420	276	5	via	via	ADP
ejpam-4420	276	6	uik	uik	PROPN
ejpam-4420	276	7	,	,	PUNCT
ejpam-4420	276	8	k	k	PROPN
ejpam-4420	276	9	=	=	SYM
ejpam-4420	276	10	1	1	NUM
ejpam-4420	276	11	,	,	PUNCT
ejpam-4420	276	12	2	2	NUM
ejpam-4420	276	13	,	,	PUNCT
ejpam-4420	276	14	3	3	NUM
ejpam-4420	276	15	,	,	PUNCT
ejpam-4420	276	16	4	4	NUM
ejpam-4420	276	17	,	,	PUNCT
ejpam-4420	276	18	will	will	AUX
ejpam-4420	276	19	be	be	AUX
ejpam-4420	276	20	referred	refer	VERB
ejpam-4420	276	21	to	to	ADP
ejpam-4420	276	22	as	as	ADP
ejpam-4420	276	23	methods	method	NOUN
ejpam-4420	276	24	3	3	NUM
ejpam-4420	276	25	through	through	ADP
ejpam-4420	276	26	6	6	NUM
ejpam-4420	276	27	,	,	PUNCT
ejpam-4420	276	28	respectively	respectively	ADV
ejpam-4420	276	29	.	.	PUNCT
ejpam-4420	277	1	5.4	5.4	NUM
ejpam-4420	277	2	.	.	PUNCT
ejpam-4420	278	1	the	the	DET
ejpam-4420	278	2	weighted	weighted	ADJ
ejpam-4420	278	3	least	least	ADJ
ejpam-4420	278	4	squares	square	NOUN
ejpam-4420	278	5	(	(	PUNCT
ejpam-4420	278	6	wls	wl	NOUN
ejpam-4420	278	7	)	)	PUNCT
ejpam-4420	278	8	method	method	NOUN
ejpam-4420	278	9	via	via	ADP
ejpam-4420	278	10	the	the	DET
ejpam-4420	278	11	cdf	cdf	NOUN
ejpam-4420	278	12	using	use	VERB
ejpam-4420	278	13	the	the	DET
ejpam-4420	278	14	same	same	ADJ
ejpam-4420	278	15	weight	weight	NOUN
ejpam-4420	278	16	for	for	ADP
ejpam-4420	278	17	all	all	DET
ejpam-4420	278	18	datum	datum	NOUN
ejpam-4420	278	19	can	can	AUX
ejpam-4420	278	20	be	be	AUX
ejpam-4420	278	21	erroneous	erroneous	ADJ
ejpam-4420	278	22	[	[	X
ejpam-4420	278	23	2	2	NUM
ejpam-4420	278	24	]	]	PUNCT
ejpam-4420	278	25	,	,	PUNCT
ejpam-4420	278	26	therefore	therefore	ADV
ejpam-4420	278	27	,	,	PUNCT
ejpam-4420	278	28	we	we	PRON
ejpam-4420	278	29	weigh	weigh	VERB
ejpam-4420	278	30	the	the	DET
ejpam-4420	278	31	values	value	NOUN
ejpam-4420	278	32	in	in	ADP
ejpam-4420	278	33	equation	equation	NOUN
ejpam-4420	278	34	(	(	PUNCT
ejpam-4420	278	35	8)	8)	NUM
ejpam-4420	278	36	via	via	ADP
ejpam-4420	278	37	a	a	DET
ejpam-4420	278	38	weighting	weighting	NOUN
ejpam-4420	278	39	factor	factor	NOUN
ejpam-4420	278	40	.	.	PUNCT
ejpam-4420	279	1	to	to	PART
ejpam-4420	279	2	find	find	VERB
ejpam-4420	279	3	one	one	NUM
ejpam-4420	279	4	of	of	ADP
ejpam-4420	279	5	these	these	DET
ejpam-4420	279	6	factors	factor	NOUN
ejpam-4420	279	7	we	we	PRON
ejpam-4420	279	8	may	may	AUX
ejpam-4420	279	9	use	use	VERB
ejpam-4420	279	10	a	a	DET
ejpam-4420	279	11	w.	w.	PROPN
ejpam-4420	279	12	ieosanurak	ieosanurak	PROPN
ejpam-4420	279	13	et	et	PROPN
ejpam-4420	279	14	al	al	PROPN
ejpam-4420	279	15	.	.	PUNCT
ejpam-4420	279	16	/	/	SYM
ejpam-4420	279	17	eur	eur	PROPN
ejpam-4420	279	18	.	.	PUNCT
ejpam-4420	280	1	j.	j.	PROPN
ejpam-4420	280	2	pure	pure	PROPN
ejpam-4420	280	3	appl	appl	PROPN
ejpam-4420	280	4	.	.	PROPN
ejpam-4420	280	5	math	math	PROPN
ejpam-4420	280	6	,	,	PUNCT
ejpam-4420	280	7	15	15	NUM
ejpam-4420	280	8	(	(	PUNCT
ejpam-4420	280	9	3	3	NUM
ejpam-4420	280	10	)	)	PUNCT
ejpam-4420	280	11	(	(	PUNCT
ejpam-4420	280	12	2022	2022	NUM
ejpam-4420	280	13	)	)	PUNCT
ejpam-4420	280	14	,	,	PUNCT
ejpam-4420	280	15	1280	1280	NUM
ejpam-4420	280	16	-	-	SYM
ejpam-4420	280	17	1300	1300	NUM
ejpam-4420	280	18	1292	1292	NUM
ejpam-4420	280	19	variance	variance	NOUN
ejpam-4420	280	20	stabilizing	stabilizing	NOUN
ejpam-4420	280	21	transformation	transformation	NOUN
ejpam-4420	280	22	.	.	PUNCT
ejpam-4420	281	1	this	this	DET
ejpam-4420	281	2	approach	approach	NOUN
ejpam-4420	281	3	,	,	PUNCT
ejpam-4420	281	4	proposed	propose	VERB
ejpam-4420	281	5	by	by	ADP
ejpam-4420	281	6	bickel	bickel	NOUN
ejpam-4420	281	7	and	and	CCONJ
ejpam-4420	281	8	doksum	doksum	ADJ
ejpam-4420	281	9	[	[	X
ejpam-4420	281	10	3	3	X
ejpam-4420	281	11	]	]	PUNCT
ejpam-4420	281	12	relates	relate	VERB
ejpam-4420	281	13	the	the	DET
ejpam-4420	281	14	variance	variance	NOUN
ejpam-4420	281	15	of	of	ADP
ejpam-4420	281	16	log(uik	log(uik	NOUN
ejpam-4420	281	17	)	)	PUNCT
ejpam-4420	281	18	,	,	PUNCT
ejpam-4420	281	19	denoted	denote	VERB
ejpam-4420	281	20	by	by	ADP
ejpam-4420	281	21	v	v	NOUN
ejpam-4420	281	22	ar(log(uik	ar(log(uik	NOUN
ejpam-4420	281	23	)	)	PUNCT
ejpam-4420	281	24	)	)	PUNCT
ejpam-4420	281	25	,	,	PUNCT
ejpam-4420	281	26	to	to	ADP
ejpam-4420	281	27	the	the	DET
ejpam-4420	281	28	uncertainty	uncertainty	NOUN
ejpam-4420	281	29	of	of	ADP
ejpam-4420	281	30	uik	uik	NOUN
ejpam-4420	281	31	and	and	CCONJ
ejpam-4420	281	32	that	that	SCONJ
ejpam-4420	281	33	we	we	PRON
ejpam-4420	281	34	denote	denote	VERB
ejpam-4420	281	35	by	by	ADP
ejpam-4420	281	36	v	v	NUM
ejpam-4420	281	37	ar(uik	ar(uik	NOUN
ejpam-4420	281	38	)	)	PUNCT
ejpam-4420	281	39	.	.	PUNCT
ejpam-4420	282	1	we	we	PRON
ejpam-4420	282	2	obtain	obtain	VERB
ejpam-4420	282	3	that	that	PRON
ejpam-4420	282	4	v	v	ADP
ejpam-4420	282	5	ar(log(uik	ar(log(uik	NOUN
ejpam-4420	282	6	)	)	PUNCT
ejpam-4420	282	7	)	)	PUNCT
ejpam-4420	283	1	=	=	PUNCT
ejpam-4420	283	2	(	(	PUNCT
ejpam-4420	283	3	∂	∂	NUM
ejpam-4420	283	4	log(uik	log(uik	NOUN
ejpam-4420	283	5	)	)	PUNCT
ejpam-4420	283	6	∂uik	∂uik	NUM
ejpam-4420	283	7	)	)	PUNCT
ejpam-4420	283	8	2	2	NUM
ejpam-4420	283	9	v	v	NOUN
ejpam-4420	283	10	ar(uik	ar(uik	NOUN
ejpam-4420	283	11	)	)	PUNCT
ejpam-4420	283	12	,	,	PUNCT
ejpam-4420	283	13	which	which	PRON
ejpam-4420	283	14	gives	give	VERB
ejpam-4420	283	15	v	v	ADP
ejpam-4420	283	16	ar(log(uik	ar(log(uik	NOUN
ejpam-4420	283	17	)	)	PUNCT
ejpam-4420	283	18	)	)	PUNCT
ejpam-4420	284	1	=	=	PUNCT
ejpam-4420	284	2	(	(	PUNCT
ejpam-4420	284	3	1	1	NUM
ejpam-4420	284	4	∂uik	∂uik	NUM
ejpam-4420	284	5	)	)	PUNCT
ejpam-4420	284	6	2	2	NUM
ejpam-4420	284	7	v	v	NOUN
ejpam-4420	284	8	ar(uik	ar(uik	NOUN
ejpam-4420	284	9	)	)	PUNCT
ejpam-4420	284	10	.	.	PUNCT
ejpam-4420	285	1	therefore	therefore	ADV
ejpam-4420	285	2	,	,	PUNCT
ejpam-4420	285	3	we	we	PRON
ejpam-4420	285	4	use	use	VERB
ejpam-4420	285	5	wik	wik	PROPN
ejpam-4420	285	6	as	as	ADP
ejpam-4420	285	7	a	a	DET
ejpam-4420	285	8	weighting	weighting	NOUN
ejpam-4420	285	9	factor	factor	NOUN
ejpam-4420	285	10	,	,	PUNCT
ejpam-4420	285	11	denoted	denote	VERB
ejpam-4420	285	12	by	by	ADP
ejpam-4420	285	13	wik	wik	PROPN
ejpam-4420	285	14	=	=	PUNCT
ejpam-4420	285	15	u2ik	u2ik	PUNCT
ejpam-4420	285	16	and	and	CCONJ
ejpam-4420	285	17	minimizing	minimize	VERB
ejpam-4420	285	18	function	function	NOUN
ejpam-4420	285	19	ek(α	ek(α	X
ejpam-4420	285	20	,	,	PUNCT
ejpam-4420	285	21	θ	θ	NOUN
ejpam-4420	285	22	)	)	PUNCT
ejpam-4420	285	23	=	=	SYM
ejpam-4420	286	1	n∑	n∑	PROPN
ejpam-4420	286	2	i=1	i=1	PROPN
ejpam-4420	287	1	wik	wik	PROPN
ejpam-4420	287	2	(	(	PUNCT
ejpam-4420	287	3	log(uik)−	log(uik)−	PROPN
ejpam-4420	287	4	log	log	NOUN
ejpam-4420	287	5	(	(	PUNCT
ejpam-4420	287	6	(	(	PUNCT
ejpam-4420	287	7	θ	θ	PROPN
ejpam-4420	287	8	+	+	PROPN
ejpam-4420	287	9	1)−	1)−	NUM
ejpam-4420	287	10	(	(	PUNCT
ejpam-4420	287	11	θ	θ	PROPN
ejpam-4420	287	12	+	+	CCONJ
ejpam-4420	287	13	1	1	NUM
ejpam-4420	287	14	+	+	NUM
ejpam-4420	287	15	θ2xi	θ2xi	NOUN
ejpam-4420	287	16	α	α	NOUN
ejpam-4420	287	17	)	)	PUNCT
ejpam-4420	287	18	e−	e−	PROPN
ejpam-4420	287	19	θxi	θxi	PROPN
ejpam-4420	287	20	α	α	PROPN
ejpam-4420	287	21	)	)	PUNCT
ejpam-4420	288	1	+	+	CCONJ
ejpam-4420	288	2	log(θ	log(θ	PROPN
ejpam-4420	288	3	+	+	ADJ
ejpam-4420	288	4	1	1	NUM
ejpam-4420	288	5	)	)	PUNCT
ejpam-4420	288	6	)	)	PUNCT
ejpam-4420	288	7	2	2	NUM
ejpam-4420	288	8	,	,	PUNCT
ejpam-4420	288	9	k	k	NOUN
ejpam-4420	288	10	=	=	SYM
ejpam-4420	288	11	1	1	NUM
ejpam-4420	288	12	,	,	PUNCT
ejpam-4420	288	13	2	2	NUM
ejpam-4420	288	14	,	,	PUNCT
ejpam-4420	288	15	3	3	NUM
ejpam-4420	288	16	,	,	PUNCT
ejpam-4420	288	17	4	4	NUM
ejpam-4420	288	18	.	.	PUNCT
ejpam-4420	288	19	by	by	ADP
ejpam-4420	288	20	solving	solve	VERB
ejpam-4420	288	21	∂	∂	NOUN
ejpam-4420	288	22	∂α	∂α	PROPN
ejpam-4420	288	23	ek(α	ek(α	X
ejpam-4420	288	24	,	,	PUNCT
ejpam-4420	288	25	θ	θ	NOUN
ejpam-4420	288	26	)	)	PUNCT
ejpam-4420	288	27	=	=	SYM
ejpam-4420	288	28	0	0	NUM
ejpam-4420	288	29	∂	∂	NUM
ejpam-4420	288	30	∂θ	∂θ	PROPN
ejpam-4420	288	31	ek(α	ek(α	X
ejpam-4420	288	32	,	,	PUNCT
ejpam-4420	288	33	θ	θ	NOUN
ejpam-4420	288	34	)	)	PUNCT
ejpam-4420	288	35	=	=	SYM
ejpam-4420	288	36	0	0	X
ejpam-4420	288	37	.	.	PUNCT
ejpam-4420	289	1	k	k	X
ejpam-4420	289	2	=	=	PUNCT
ejpam-4420	289	3	1	1	NUM
ejpam-4420	289	4	,	,	PUNCT
ejpam-4420	289	5	2	2	NUM
ejpam-4420	289	6	,	,	PUNCT
ejpam-4420	289	7	3	3	NUM
ejpam-4420	289	8	,	,	PUNCT
ejpam-4420	289	9	4	4	NUM
ejpam-4420	289	10	.	.	PUNCT
ejpam-4420	290	1	we	we	PRON
ejpam-4420	290	2	denoted	denote	VERB
ejpam-4420	290	3	by	by	ADP
ejpam-4420	290	4	a(xi	a(xi	PROPN
ejpam-4420	290	5	,	,	PUNCT
ejpam-4420	290	6	α	α	NOUN
ejpam-4420	290	7	,	,	PUNCT
ejpam-4420	290	8	θ	θ	NOUN
ejpam-4420	290	9	)	)	PUNCT
ejpam-4420	290	10	=	=	PUNCT
ejpam-4420	290	11	xi(α+	xi(α+	PROPN
ejpam-4420	290	12	θ2xi	θ2xi	X
ejpam-4420	290	13	)	)	PUNCT
ejpam-4420	290	14	log	log	NOUN
ejpam-4420	290	15	(	(	PUNCT
ejpam-4420	290	16	−e−	−e−	VERB
ejpam-4420	290	17	θxi	θxi	PROPN
ejpam-4420	290	18	α	α	PROPN
ejpam-4420	290	19	(	(	PUNCT
ejpam-4420	290	20	θ2xi	θ2xi	NOUN
ejpam-4420	290	21	α	α	NOUN
ejpam-4420	291	1	+	+	NUM
ejpam-4420	291	2	θ	θ	NOUN
ejpam-4420	291	3	+	+	NOUN
ejpam-4420	291	4	1	1	X
ejpam-4420	291	5	)	)	PUNCT
ejpam-4420	291	6	+	+	NUM
ejpam-4420	291	7	θ	θ	NOUN
ejpam-4420	292	1	+	+	CCONJ
ejpam-4420	292	2	1	1	NUM
ejpam-4420	292	3	)	)	PUNCT
ejpam-4420	292	4	,	,	PUNCT
ejpam-4420	292	5	bk(xi	bk(xi	VERB
ejpam-4420	292	6	,	,	PUNCT
ejpam-4420	292	7	α	α	NOUN
ejpam-4420	292	8	,	,	PUNCT
ejpam-4420	292	9	θ	θ	NOUN
ejpam-4420	292	10	)	)	PUNCT
ejpam-4420	292	11	=	=	PUNCT
ejpam-4420	292	12	xi(α+	xi(α+	PRON
ejpam-4420	292	13	θ2xi	θ2xi	NOUN
ejpam-4420	292	14	)	)	PUNCT
ejpam-4420	292	15	log(uik	log(uik	NOUN
ejpam-4420	292	16	)	)	PUNCT
ejpam-4420	292	17	,	,	PUNCT
ejpam-4420	292	18	c(xi	c(xi	PROPN
ejpam-4420	292	19	,	,	PUNCT
ejpam-4420	292	20	α	α	NOUN
ejpam-4420	292	21	,	,	PUNCT
ejpam-4420	292	22	θ	θ	NOUN
ejpam-4420	292	23	)	)	PUNCT
ejpam-4420	293	1	=	=	SYM
ejpam-4420	293	2	α(θ	α(θ	NOUN
ejpam-4420	293	3	+	+	CCONJ
ejpam-4420	293	4	1)(e	1)(e	NUM
ejpam-4420	293	5	θxi	θxi	NOUN
ejpam-4420	293	6	α	α	NOUN
ejpam-4420	293	7	−	−	PROPN
ejpam-4420	293	8	1)−	1)−	PROPN
ejpam-4420	293	9	θ2xi	θ2xi	NOUN
ejpam-4420	293	10	,	,	PUNCT
ejpam-4420	293	11	dk(xi	dk(xi	PROPN
ejpam-4420	293	12	,	,	PUNCT
ejpam-4420	293	13	α	α	NOUN
ejpam-4420	293	14	,	,	PUNCT
ejpam-4420	293	15	θ	θ	NOUN
ejpam-4420	293	16	)	)	PUNCT
ejpam-4420	293	17	=	=	SYM
ejpam-4420	293	18	xi[log(uik	xi[log(uik	NUM
ejpam-4420	293	19	)	)	PUNCT
ejpam-4420	294	1	+	+	CCONJ
ejpam-4420	294	2	log(θ	log(θ	PROPN
ejpam-4420	294	3	+	+	PROPN
ejpam-4420	294	4	1)−	1)−	PROPN
ejpam-4420	294	5	log(−e−	log(−e−	PROPN
ejpam-4420	294	6	θxi	θxi	PROPN
ejpam-4420	294	7	α	α	PROPN
ejpam-4420	294	8	(	(	PUNCT
ejpam-4420	294	9	θ2xi	θ2xi	NOUN
ejpam-4420	294	10	α	α	NOUN
ejpam-4420	294	11	+	+	NUM
ejpam-4420	294	12	θ	θ	NOUN
ejpam-4420	294	13	+	+	NOUN
ejpam-4420	294	14	1	1	X
ejpam-4420	294	15	)	)	PUNCT
ejpam-4420	294	16	+	+	NUM
ejpam-4420	294	17	θ	θ	PROPN
ejpam-4420	294	18	+	+	NOUN
ejpam-4420	294	19	1	1	NUM
ejpam-4420	294	20	)	)	PUNCT
ejpam-4420	294	21	]	]	PUNCT
ejpam-4420	294	22	(	(	PUNCT
ejpam-4420	294	23	θ	θ	X
ejpam-4420	294	24	+	+	PUNCT
ejpam-4420	294	25	1)[α(θ	1)[α(θ	NUM
ejpam-4420	294	26	+	+	CCONJ
ejpam-4420	294	27	1)(e	1)(e	NUM
ejpam-4420	294	28	θxi	θxi	NOUN
ejpam-4420	294	29	α	α	NOUN
ejpam-4420	294	30	−	−	PROPN
ejpam-4420	294	31	1)−	1)−	PROPN
ejpam-4420	294	32	θ2xi	θ2xi	NOUN
ejpam-4420	294	33	,	,	PUNCT
ejpam-4420	294	34	where	where	SCONJ
ejpam-4420	294	35	α̂	α̂	NUM
ejpam-4420	294	36	is	be	AUX
ejpam-4420	294	37	the	the	DET
ejpam-4420	294	38	estimator	estimator	NOUN
ejpam-4420	294	39	of	of	ADP
ejpam-4420	294	40	the	the	DET
ejpam-4420	294	41	parameter	parameter	NOUN
ejpam-4420	294	42	α	α	NOUN
ejpam-4420	294	43	with	with	ADP
ejpam-4420	294	44	this	this	DET
ejpam-4420	294	45	method	method	NOUN
ejpam-4420	294	46	.	.	PUNCT
ejpam-4420	295	1	using	use	VERB
ejpam-4420	295	2	some	some	DET
ejpam-4420	295	3	algebraic	algebraic	ADJ
ejpam-4420	295	4	manipulations	manipulation	NOUN
ejpam-4420	295	5	,	,	PUNCT
ejpam-4420	295	6	θ̂	θ̂	X
ejpam-4420	295	7	satisfies	satisfy	VERB
ejpam-4420	295	8	the	the	DET
ejpam-4420	295	9	following	follow	VERB
ejpam-4420	295	10	equation	equation	NOUN
ejpam-4420	295	11	:	:	PUNCT
ejpam-4420	295	12	θ̂	θ̂	X
ejpam-4420	295	13	=	=	SYM
ejpam-4420	295	14	exp	exp	NOUN
ejpam-4420	295	15			PROPN
ejpam-4420	295	16	∑n	∑n	PROPN
ejpam-4420	295	17	i=1wik	i=1wik	PROPN
ejpam-4420	295	18	a(xi	a(xi	PROPN
ejpam-4420	295	19	,	,	PUNCT
ejpam-4420	295	20	α	α	NOUN
ejpam-4420	295	21	,	,	PUNCT
ejpam-4420	295	22	θ	θ	NOUN
ejpam-4420	295	23	)	)	PUNCT
ejpam-4420	295	24	ck(xi	ck(xi	PROPN
ejpam-4420	295	25	,	,	PUNCT
ejpam-4420	295	26	α	α	X
ejpam-4420	295	27	,	,	PUNCT
ejpam-4420	295	28	θ	θ	NOUN
ejpam-4420	295	29	)	)	PUNCT
ejpam-4420	295	30	−	−	PROPN
ejpam-4420	296	1	∑n	∑n	PROPN
ejpam-4420	296	2	i=1wik	i=1wik	PROPN
ejpam-4420	296	3	bk(xi	bk(xi	PROPN
ejpam-4420	296	4	,	,	PUNCT
ejpam-4420	296	5	α	α	NOUN
ejpam-4420	296	6	,	,	PUNCT
ejpam-4420	296	7	θ	θ	NOUN
ejpam-4420	296	8	)	)	PUNCT
ejpam-4420	296	9	c(xi	c(xi	PROPN
ejpam-4420	296	10	,	,	PUNCT
ejpam-4420	296	11	α	α	X
ejpam-4420	296	12	,	,	PUNCT
ejpam-4420	296	13	θ)∑n	θ)∑n	PROPN
ejpam-4420	296	14	i=1wik	i=1wik	PROPN
ejpam-4420	296	15	xi(α+	xi(α+	PROPN
ejpam-4420	296	16	θ2xi	θ2xi	PROPN
ejpam-4420	296	17	)	)	PUNCT
ejpam-4420	297	1	c(xi	c(xi	PROPN
ejpam-4420	297	2	,	,	PUNCT
ejpam-4420	297	3	α	α	NOUN
ejpam-4420	297	4	,	,	PUNCT
ejpam-4420	297	5	θ	θ	NOUN
ejpam-4420	297	6	)	)	PUNCT
ejpam-4420	297	7	−	−	NOUN
ejpam-4420	297	8	1	1	NUM
ejpam-4420	297	9	,	,	PUNCT
ejpam-4420	297	10	and	and	CCONJ
ejpam-4420	297	11	α̂	α̂	NUM
ejpam-4420	297	12	=	=	SYM
ejpam-4420	297	13	n∑	n∑	NOUN
ejpam-4420	297	14	i=1	i=1	PROPN
ejpam-4420	297	15	(	(	PUNCT
ejpam-4420	297	16	θ	θ	PROPN
ejpam-4420	297	17	+	+	NOUN
ejpam-4420	297	18	1)θ2xiwikdk(xi	1)θ2xiwikdk(xi	NUM
ejpam-4420	297	19	,	,	PUNCT
ejpam-4420	297	20	α	α	NOUN
ejpam-4420	297	21	,	,	PUNCT
ejpam-4420	297	22	θ	θ	NOUN
ejpam-4420	297	23	)	)	PUNCT
ejpam-4420	297	24	wikdk(xi	wikdk(xi	X
ejpam-4420	297	25	,	,	PUNCT
ejpam-4420	297	26	α	α	NOUN
ejpam-4420	297	27	,	,	PUNCT
ejpam-4420	297	28	θ	θ	NOUN
ejpam-4420	297	29	)	)	PUNCT
ejpam-4420	297	30	,	,	PUNCT
ejpam-4420	297	31	for	for	ADP
ejpam-4420	297	32	k	k	PROPN
ejpam-4420	297	33	=	=	SYM
ejpam-4420	297	34	1	1	NUM
ejpam-4420	297	35	,	,	PUNCT
ejpam-4420	297	36	2	2	NUM
ejpam-4420	297	37	,	,	PUNCT
ejpam-4420	297	38	3	3	NUM
ejpam-4420	297	39	,	,	PUNCT
ejpam-4420	297	40	4	4	NUM
ejpam-4420	297	41	.	.	PUNCT
ejpam-4420	298	1	these	these	DET
ejpam-4420	298	2	four	four	NUM
ejpam-4420	298	3	wls	wl	NOUN
ejpam-4420	298	4	methods	method	NOUN
ejpam-4420	298	5	via	via	ADP
ejpam-4420	298	6	uik	uik	PROPN
ejpam-4420	298	7	,	,	PUNCT
ejpam-4420	298	8	k	k	PROPN
ejpam-4420	298	9	=	=	SYM
ejpam-4420	298	10	1	1	NUM
ejpam-4420	298	11	,	,	PUNCT
ejpam-4420	298	12	2	2	NUM
ejpam-4420	298	13	,	,	PUNCT
ejpam-4420	298	14	3	3	NUM
ejpam-4420	298	15	,	,	PUNCT
ejpam-4420	298	16	4	4	NUM
ejpam-4420	298	17	and	and	CCONJ
ejpam-4420	298	18	weighting	weight	VERB
ejpam-4420	298	19	factors	factor	NOUN
ejpam-4420	298	20	wik	wik	PROPN
ejpam-4420	298	21	,	,	PUNCT
ejpam-4420	298	22	will	will	AUX
ejpam-4420	298	23	be	be	AUX
ejpam-4420	298	24	referred	refer	VERB
ejpam-4420	298	25	to	to	ADP
ejpam-4420	298	26	as	as	ADP
ejpam-4420	298	27	methods	method	NOUN
ejpam-4420	298	28	7	7	NUM
ejpam-4420	298	29	through	through	ADP
ejpam-4420	298	30	10	10	NUM
ejpam-4420	298	31	respectively	respectively	ADV
ejpam-4420	298	32	.	.	PUNCT
ejpam-4420	299	1	w.	w.	PROPN
ejpam-4420	299	2	ieosanurak	ieosanurak	PROPN
ejpam-4420	299	3	et	et	PROPN
ejpam-4420	299	4	al	al	PROPN
ejpam-4420	299	5	.	.	PUNCT
ejpam-4420	299	6	/	/	SYM
ejpam-4420	299	7	eur	eur	PROPN
ejpam-4420	299	8	.	.	PUNCT
ejpam-4420	300	1	j.	j.	PROPN
ejpam-4420	300	2	pure	pure	PROPN
ejpam-4420	300	3	appl	appl	PROPN
ejpam-4420	300	4	.	.	PROPN
ejpam-4420	300	5	math	math	PROPN
ejpam-4420	300	6	,	,	PUNCT
ejpam-4420	300	7	15	15	NUM
ejpam-4420	300	8	(	(	PUNCT
ejpam-4420	300	9	3	3	NUM
ejpam-4420	300	10	)	)	PUNCT
ejpam-4420	300	11	(	(	PUNCT
ejpam-4420	300	12	2022	2022	NUM
ejpam-4420	300	13	)	)	PUNCT
ejpam-4420	300	14	,	,	PUNCT
ejpam-4420	300	15	1280	1280	NUM
ejpam-4420	300	16	-	-	SYM
ejpam-4420	300	17	1300	1300	NUM
ejpam-4420	300	18	1293	1293	NUM
ejpam-4420	300	19	5.5	5.5	NUM
ejpam-4420	300	20	.	.	PUNCT
ejpam-4420	301	1	genetic	genetic	ADJ
ejpam-4420	301	2	algorithm	algorithm	NOUN
ejpam-4420	301	3	in	in	ADP
ejpam-4420	301	4	the	the	DET
ejpam-4420	301	5	genetic	genetic	ADJ
ejpam-4420	301	6	algorithm	algorithm	NOUN
ejpam-4420	301	7	process	process	NOUN
ejpam-4420	301	8	is	be	AUX
ejpam-4420	301	9	as	as	SCONJ
ejpam-4420	301	10	follows	follow	VERB
ejpam-4420	301	11	:	:	PUNCT
ejpam-4420	301	12	step	step	NOUN
ejpam-4420	301	13	1	1	NUM
ejpam-4420	301	14	.	.	PUNCT
ejpam-4420	301	15	determine	determine	VERB
ejpam-4420	301	16	the	the	DET
ejpam-4420	301	17	number	number	NOUN
ejpam-4420	301	18	of	of	ADP
ejpam-4420	301	19	chromosomes	chromosome	NOUN
ejpam-4420	301	20	,	,	PUNCT
ejpam-4420	301	21	generation	generation	NOUN
ejpam-4420	301	22	,	,	PUNCT
ejpam-4420	301	23	and	and	CCONJ
ejpam-4420	301	24	mutation	mutation	NOUN
ejpam-4420	301	25	rate	rate	NOUN
ejpam-4420	301	26	and	and	CCONJ
ejpam-4420	301	27	crossover	crossover	VERB
ejpam-4420	301	28	rate	rate	NOUN
ejpam-4420	301	29	value	value	NOUN
ejpam-4420	301	30	.	.	PUNCT
ejpam-4420	302	1	the	the	DET
ejpam-4420	302	2	number	number	NOUN
ejpam-4420	302	3	of	of	ADP
ejpam-4420	302	4	chromosomes	chromosome	NOUN
ejpam-4420	302	5	is	be	AUX
ejpam-4420	302	6	2	2	NUM
ejpam-4420	302	7	(	(	PUNCT
ejpam-4420	302	8	α	α	NOUN
ejpam-4420	302	9	and	and	CCONJ
ejpam-4420	302	10	θ	θ	PROPN
ejpam-4420	302	11	)	)	PUNCT
ejpam-4420	302	12	,	,	PUNCT
ejpam-4420	302	13	the	the	DET
ejpam-4420	302	14	number	number	NOUN
ejpam-4420	302	15	of	of	ADP
ejpam-4420	302	16	generations	generation	NOUN
ejpam-4420	302	17	is	be	AUX
ejpam-4420	302	18	10000	10000	NUM
ejpam-4420	302	19	,	,	PUNCT
ejpam-4420	302	20	and	and	CCONJ
ejpam-4420	302	21	the	the	DET
ejpam-4420	302	22	mutation	mutation	NOUN
ejpam-4420	302	23	rate	rate	NOUN
ejpam-4420	302	24	is	be	AUX
ejpam-4420	302	25	0.3	0.3	NUM
ejpam-4420	302	26	.	.	PUNCT
ejpam-4420	303	1	step	step	NOUN
ejpam-4420	303	2	2	2	NUM
ejpam-4420	303	3	.	.	PUNCT
ejpam-4420	303	4	generate	generate	VERB
ejpam-4420	303	5	chromosome	chromosome	NOUN
ejpam-4420	303	6	-	-	PUNCT
ejpam-4420	303	7	chromosome	chromosome	NOUN
ejpam-4420	303	8	number	number	NOUN
ejpam-4420	303	9	of	of	ADP
ejpam-4420	303	10	the	the	DET
ejpam-4420	303	11	population	population	NOUN
ejpam-4420	303	12	,	,	PUNCT
ejpam-4420	303	13	and	and	CCONJ
ejpam-4420	303	14	the	the	DET
ejpam-4420	303	15	initialization	initialization	NOUN
ejpam-4420	303	16	value	value	NOUN
ejpam-4420	303	17	of	of	ADP
ejpam-4420	303	18	the	the	DET
ejpam-4420	303	19	genes	gene	NOUN
ejpam-4420	303	20	chromosome	chromosome	NOUN
ejpam-4420	303	21	-	-	PUNCT
ejpam-4420	303	22	chromosome	chromosome	NOUN
ejpam-4420	303	23	with	with	ADP
ejpam-4420	303	24	a	a	DET
ejpam-4420	303	25	random	random	ADJ
ejpam-4420	303	26	value	value	NOUN
ejpam-4420	303	27	step	step	NOUN
ejpam-4420	303	28	3	3	NUM
ejpam-4420	303	29	.	.	PUNCT
ejpam-4420	303	30	process	process	NOUN
ejpam-4420	303	31	steps	step	NOUN
ejpam-4420	303	32	4	4	NUM
ejpam-4420	303	33	-	-	SYM
ejpam-4420	303	34	7	7	NUM
ejpam-4420	303	35	until	until	SCONJ
ejpam-4420	303	36	the	the	DET
ejpam-4420	303	37	number	number	NOUN
ejpam-4420	303	38	of	of	ADP
ejpam-4420	303	39	generations	generation	NOUN
ejpam-4420	303	40	is	be	AUX
ejpam-4420	303	41	met	meet	VERB
ejpam-4420	303	42	step	step	NOUN
ejpam-4420	303	43	4	4	NUM
ejpam-4420	303	44	.	.	PUNCT
ejpam-4420	303	45	evaluation	evaluation	NOUN
ejpam-4420	303	46	of	of	ADP
ejpam-4420	303	47	fitness	fitness	NOUN
ejpam-4420	303	48	value	value	NOUN
ejpam-4420	303	49	of	of	ADP
ejpam-4420	303	50	chromosomes	chromosome	NOUN
ejpam-4420	303	51	by	by	ADP
ejpam-4420	303	52	calculating	calculate	VERB
ejpam-4420	303	53	objective	objective	ADJ
ejpam-4420	303	54	function	function	NOUN
ejpam-4420	303	55	.	.	PUNCT
ejpam-4420	304	1	the	the	DET
ejpam-4420	304	2	fitness	fitness	NOUN
ejpam-4420	304	3	values	value	NOUN
ejpam-4420	304	4	is	be	AUX
ejpam-4420	304	5	defined	define	VERB
ejpam-4420	304	6	by	by	ADP
ejpam-4420	304	7	:	:	PUNCT
ejpam-4420	304	8	fi	fi	NOUN
ejpam-4420	304	9	=	=	NOUN
ejpam-4420	304	10	1	1	NUM
ejpam-4420	304	11	i	i	INTJ
ejpam-4420	304	12	,	,	PUNCT
ejpam-4420	304	13	where	where	SCONJ
ejpam-4420	304	14	i	i	PRON
ejpam-4420	304	15	is	be	AUX
ejpam-4420	304	16	current	current	ADJ
ejpam-4420	304	17	chromosomes	chromosome	NOUN
ejpam-4420	304	18	.	.	PUNCT
ejpam-4420	305	1	step	step	NOUN
ejpam-4420	305	2	5	5	NUM
ejpam-4420	305	3	.	.	PUNCT
ejpam-4420	306	1	chromosomes	chromosome	NOUN
ejpam-4420	306	2	selection	selection	NOUN
ejpam-4420	306	3	.	.	PUNCT
ejpam-4420	307	1	we	we	PRON
ejpam-4420	307	2	used	use	VERB
ejpam-4420	307	3	the	the	DET
ejpam-4420	307	4	roulette	roulette	NOUN
ejpam-4420	307	5	wheel	wheel	NOUN
ejpam-4420	307	6	selection	selection	NOUN
ejpam-4420	307	7	.	.	PUNCT
ejpam-4420	308	1	the	the	DET
ejpam-4420	308	2	probability	probability	NOUN
ejpam-4420	308	3	of	of	ADP
ejpam-4420	308	4	choosing	choose	VERB
ejpam-4420	308	5	individual	individual	ADJ
ejpam-4420	308	6	i	i	PRON
ejpam-4420	308	7	is	be	AUX
ejpam-4420	308	8	equal	equal	ADJ
ejpam-4420	308	9	to	to	ADP
ejpam-4420	308	10	pi	pi	NOUN
ejpam-4420	308	11	=	=	PUNCT
ejpam-4420	308	12	fi∑n	fi∑n	VERB
ejpam-4420	308	13	i=1	i=1	ADP
ejpam-4420	308	14	fi	fi	NOUN
ejpam-4420	308	15	where	where	SCONJ
ejpam-4420	308	16	fi	fi	NOUN
ejpam-4420	308	17	is	be	AUX
ejpam-4420	308	18	the	the	DET
ejpam-4420	308	19	fitness	fitness	NOUN
ejpam-4420	308	20	value	value	NOUN
ejpam-4420	308	21	of	of	ADP
ejpam-4420	308	22	i	i	PRON
ejpam-4420	308	23	and	and	CCONJ
ejpam-4420	308	24	n	n	PROPN
ejpam-4420	308	25	is	be	AUX
ejpam-4420	308	26	the	the	DET
ejpam-4420	308	27	size	size	NOUN
ejpam-4420	308	28	of	of	ADP
ejpam-4420	308	29	the	the	DET
ejpam-4420	308	30	current	current	ADJ
ejpam-4420	308	31	generation	generation	NOUN
ejpam-4420	308	32	.	.	PUNCT
ejpam-4420	309	1	step	step	NOUN
ejpam-4420	309	2	6	6	NUM
ejpam-4420	309	3	.	.	PUNCT
ejpam-4420	309	4	crossover	crossover	NOUN
ejpam-4420	309	5	.	.	PUNCT
ejpam-4420	310	1	a	a	DET
ejpam-4420	310	2	point	point	NOUN
ejpam-4420	310	3	on	on	ADP
ejpam-4420	310	4	both	both	DET
ejpam-4420	310	5	parents	parent	NOUN
ejpam-4420	310	6	’	'	PUNCT
ejpam-4420	310	7	chromosomes	chromosome	NOUN
ejpam-4420	310	8	is	be	AUX
ejpam-4420	310	9	picked	pick	VERB
ejpam-4420	310	10	by	by	ADP
ejpam-4420	310	11	chromosome	chromosome	NOUN
ejpam-4420	310	12	2	2	NUM
ejpam-4420	310	13	.	.	PUNCT
ejpam-4420	310	14	step	step	NOUN
ejpam-4420	310	15	7	7	NUM
ejpam-4420	310	16	.	.	PUNCT
ejpam-4420	311	1	mutation	mutation	NOUN
ejpam-4420	311	2	.	.	PUNCT
ejpam-4420	312	1	the	the	DET
ejpam-4420	312	2	chromosome	chromosome	NOUN
ejpam-4420	312	3	i	i	PRON
ejpam-4420	312	4	for	for	ADP
ejpam-4420	312	5	i	i	PRON
ejpam-4420	312	6	=	=	NOUN
ejpam-4420	312	7	1	1	NUM
ejpam-4420	312	8	,	,	PUNCT
ejpam-4420	312	9	2	2	NUM
ejpam-4420	312	10	are	be	AUX
ejpam-4420	312	11	mutated	mutate	VERB
ejpam-4420	312	12	as	as	SCONJ
ejpam-4420	312	13	follows	follow	VERB
ejpam-4420	312	14	:	:	PUNCT
ejpam-4420	312	15	we	we	PRON
ejpam-4420	312	16	random	random	ADJ
ejpam-4420	312	17	ui	ui	PROPN
ejpam-4420	312	18	∈	∈	PROPN
ejpam-4420	312	19	(	(	PUNCT
ejpam-4420	312	20	0	0	NUM
ejpam-4420	312	21	,	,	PUNCT
ejpam-4420	312	22	1	1	NUM
ejpam-4420	312	23	)	)	PUNCT
ejpam-4420	312	24	,	,	PUNCT
ejpam-4420	312	25	if	if	SCONJ
ejpam-4420	312	26	ui	ui	PROPN
ejpam-4420	312	27	<	<	X
ejpam-4420	312	28	mutation	mutation	NOUN
ejpam-4420	312	29	rate	rate	NOUN
ejpam-4420	312	30	,	,	PUNCT
ejpam-4420	312	31	then	then	ADV
ejpam-4420	312	32	we	we	PRON
ejpam-4420	312	33	mutated	mutate	VERB
ejpam-4420	312	34	the	the	DET
ejpam-4420	312	35	chromosome	chromosome	NOUN
ejpam-4420	312	36	i.	i.	NOUN
ejpam-4420	312	37	step	step	NOUN
ejpam-4420	312	38	8	8	NUM
ejpam-4420	312	39	.	.	PUNCT
ejpam-4420	313	1	solution	solution	NOUN
ejpam-4420	313	2	(	(	PUNCT
ejpam-4420	313	3	best	good	ADJ
ejpam-4420	313	4	chromosomes	chromosome	NOUN
ejpam-4420	313	5	)	)	PUNCT
ejpam-4420	313	6	this	this	DET
ejpam-4420	313	7	method	method	NOUN
ejpam-4420	313	8	will	will	AUX
ejpam-4420	313	9	be	be	AUX
ejpam-4420	313	10	referred	refer	VERB
ejpam-4420	313	11	to	to	ADP
ejpam-4420	313	12	as	as	ADP
ejpam-4420	313	13	method	method	NOUN
ejpam-4420	313	14	11	11	NUM
ejpam-4420	313	15	.	.	PUNCT
ejpam-4420	314	1	6	6	NUM
ejpam-4420	314	2	.	.	X
ejpam-4420	314	3	a	a	DET
ejpam-4420	314	4	simulated	simulate	VERB
ejpam-4420	314	5	study	study	NOUN
ejpam-4420	314	6	in	in	ADP
ejpam-4420	314	7	this	this	DET
ejpam-4420	314	8	section	section	NOUN
ejpam-4420	314	9	.	.	PUNCT
ejpam-4420	315	1	we	we	PRON
ejpam-4420	315	2	use	use	VERB
ejpam-4420	315	3	two	two	NUM
ejpam-4420	315	4	data	datum	NOUN
ejpam-4420	315	5	sets	set	NOUN
ejpam-4420	315	6	to	to	PART
ejpam-4420	315	7	find	find	VERB
ejpam-4420	315	8	the	the	DET
ejpam-4420	315	9	good	good	ADJ
ejpam-4420	315	10	parameter	parameter	PROPN
ejpam-4420	315	11	estimation	estimation	NOUN
ejpam-4420	315	12	.	.	PUNCT
ejpam-4420	316	1	the	the	DET
ejpam-4420	316	2	data	datum	NOUN
ejpam-4420	316	3	are	be	AUX
ejpam-4420	316	4	waiting	wait	VERB
ejpam-4420	316	5	time	time	NOUN
ejpam-4420	316	6	(	(	PUNCT
ejpam-4420	316	7	in	in	ADP
ejpam-4420	316	8	minutes	minute	NOUN
ejpam-4420	316	9	)	)	PUNCT
ejpam-4420	316	10	of	of	ADP
ejpam-4420	316	11	100	100	NUM
ejpam-4420	316	12	bank	bank	NOUN
ejpam-4420	316	13	customers	customer	NOUN
ejpam-4420	316	14	[	[	X
ejpam-4420	316	15	16	16	NUM
ejpam-4420	316	16	]	]	PUNCT
ejpam-4420	316	17	as	as	ADP
ejpam-4420	316	18	table	table	NOUN
ejpam-4420	316	19	1	1	NUM
ejpam-4420	316	20	,	,	PUNCT
ejpam-4420	316	21	and	and	CCONJ
ejpam-4420	316	22	(	(	PUNCT
ejpam-4420	316	23	in	in	ADP
ejpam-4420	316	24	days	day	NOUN
ejpam-4420	316	25	)	)	PUNCT
ejpam-4420	316	26	of	of	ADP
ejpam-4420	316	27	72	72	NUM
ejpam-4420	316	28	guinea	guinea	NOUN
ejpam-4420	316	29	pigs	pig	NOUN
ejpam-4420	316	30	infected	infect	VERB
ejpam-4420	316	31	with	with	ADP
ejpam-4420	316	32	virulent	virulent	ADJ
ejpam-4420	316	33	tubercle	tubercle	NOUN
ejpam-4420	316	34	bacilli	bacilli	NOUN
ejpam-4420	317	1	[	[	X
ejpam-4420	317	2	14	14	NUM
ejpam-4420	317	3	]	]	PUNCT
ejpam-4420	317	4	as	as	ADP
ejpam-4420	317	5	table	table	NOUN
ejpam-4420	317	6	2	2	NUM
ejpam-4420	317	7	.	.	PUNCT
ejpam-4420	318	1	the	the	DET
ejpam-4420	318	2	comparison	comparison	NOUN
ejpam-4420	318	3	of	of	ADP
ejpam-4420	318	4	new	new	ADJ
ejpam-4420	318	5	sushila	sushila	NOUN
ejpam-4420	318	6	distribution	distribution	NOUN
ejpam-4420	318	7	with	with	ADP
ejpam-4420	318	8	lindley	lindley	NOUN
ejpam-4420	318	9	and	and	CCONJ
ejpam-4420	318	10	sushila	sushila	NOUN
ejpam-4420	318	11	distribution	distribution	NOUN
ejpam-4420	318	12	is	be	AUX
ejpam-4420	318	13	proposed	propose	VERB
ejpam-4420	318	14	in	in	ADP
ejpam-4420	318	15	table	table	NOUN
ejpam-4420	318	16	5	5	NUM
ejpam-4420	318	17	.	.	PUNCT
ejpam-4420	319	1	it	it	PRON
ejpam-4420	319	2	can	can	AUX
ejpam-4420	319	3	be	be	AUX
ejpam-4420	319	4	observed	observe	VERB
ejpam-4420	319	5	from	from	ADP
ejpam-4420	319	6	table	table	NOUN
ejpam-4420	319	7	3	3	NUM
ejpam-4420	319	8	that	that	SCONJ
ejpam-4420	319	9	the	the	DET
ejpam-4420	319	10	estimates	estimate	NOUN
ejpam-4420	319	11	obtained	obtain	VERB
ejpam-4420	319	12	via	via	ADP
ejpam-4420	319	13	uwls	uwls	ADJ
ejpam-4420	319	14	(	(	PUNCT
ejpam-4420	319	15	method	method	NOUN
ejpam-4420	319	16	3	3	NUM
ejpam-4420	319	17	-	-	SYM
ejpam-4420	319	18	6	6	NUM
ejpam-4420	319	19	)	)	PUNCT
ejpam-4420	319	20	are	be	AUX
ejpam-4420	319	21	very	very	ADV
ejpam-4420	319	22	same	same	ADJ
ejpam-4420	319	23	,	,	PUNCT
ejpam-4420	320	1	also	also	ADV
ejpam-4420	320	2	the	the	DET
ejpam-4420	320	3	estimates	estimate	NOUN
ejpam-4420	320	4	obtained	obtain	VERB
ejpam-4420	320	5	via	via	ADP
ejpam-4420	320	6	wls	wls	PROPN
ejpam-4420	320	7	(	(	PUNCT
ejpam-4420	320	8	method	method	NOUN
ejpam-4420	320	9	7	7	NUM
ejpam-4420	320	10	-	-	SYM
ejpam-4420	320	11	10	10	NUM
ejpam-4420	320	12	)	)	PUNCT
ejpam-4420	320	13	,	,	PUNCT
ejpam-4420	320	14	although	although	SCONJ
ejpam-4420	320	15	the	the	DET
ejpam-4420	320	16	estimates	estimate	NOUN
ejpam-4420	320	17	obtained	obtain	VERB
ejpam-4420	320	18	via	via	ADP
ejpam-4420	320	19	me	i	PRON
ejpam-4420	320	20	(	(	PUNCT
ejpam-4420	320	21	method	method	NOUN
ejpam-4420	320	22	1	1	NUM
ejpam-4420	320	23	)	)	PUNCT
ejpam-4420	320	24	is	be	AUX
ejpam-4420	320	25	not	not	PART
ejpam-4420	320	26	the	the	DET
ejpam-4420	320	27	best	good	ADJ
ejpam-4420	320	28	estimates	estimate	NOUN
ejpam-4420	320	29	,	,	PUNCT
ejpam-4420	320	30	this	this	DET
ejpam-4420	320	31	method	method	NOUN
ejpam-4420	320	32	is	be	AUX
ejpam-4420	320	33	good	good	ADJ
ejpam-4420	320	34	estimate	estimate	NOUN
ejpam-4420	320	35	,	,	PUNCT
ejpam-4420	320	36	directly	directly	ADV
ejpam-4420	320	37	calculate	calculate	VERB
ejpam-4420	320	38	.	.	PUNCT
ejpam-4420	321	1	moreover	moreover	ADV
ejpam-4420	321	2	,	,	PUNCT
ejpam-4420	321	3	it	it	PRON
ejpam-4420	321	4	is	be	AUX
ejpam-4420	321	5	not	not	PART
ejpam-4420	321	6	an	an	DET
ejpam-4420	321	7	iterative	iterative	NOUN
ejpam-4420	321	8	method	method	NOUN
ejpam-4420	321	9	like	like	ADP
ejpam-4420	321	10	the	the	DET
ejpam-4420	321	11	others	other	NOUN
ejpam-4420	321	12	.	.	PUNCT
ejpam-4420	322	1	the	the	DET
ejpam-4420	322	2	best	good	ADJ
ejpam-4420	322	3	estimate	estimate	NOUN
ejpam-4420	322	4	can	can	AUX
ejpam-4420	322	5	be	be	AUX
ejpam-4420	322	6	obtained	obtain	VERB
ejpam-4420	322	7	using	use	VERB
ejpam-4420	322	8	ga	ga	PROPN
ejpam-4420	322	9	(	(	PUNCT
ejpam-4420	322	10	method	method	NOUN
ejpam-4420	322	11	11	11	NUM
ejpam-4420	322	12	)	)	PUNCT
ejpam-4420	322	13	.	.	PUNCT
ejpam-4420	323	1	w.	w.	PROPN
ejpam-4420	323	2	ieosanurak	ieosanurak	PROPN
ejpam-4420	323	3	et	et	PROPN
ejpam-4420	323	4	al	al	PROPN
ejpam-4420	323	5	.	.	PUNCT
ejpam-4420	323	6	/	/	SYM
ejpam-4420	323	7	eur	eur	PROPN
ejpam-4420	323	8	.	.	PUNCT
ejpam-4420	324	1	j.	j.	PROPN
ejpam-4420	324	2	pure	pure	PROPN
ejpam-4420	324	3	appl	appl	PROPN
ejpam-4420	324	4	.	.	PROPN
ejpam-4420	324	5	math	math	PROPN
ejpam-4420	324	6	,	,	PUNCT
ejpam-4420	324	7	15	15	NUM
ejpam-4420	324	8	(	(	PUNCT
ejpam-4420	324	9	3	3	NUM
ejpam-4420	324	10	)	)	PUNCT
ejpam-4420	324	11	(	(	PUNCT
ejpam-4420	324	12	2022	2022	NUM
ejpam-4420	324	13	)	)	PUNCT
ejpam-4420	324	14	,	,	PUNCT
ejpam-4420	324	15	1280	1280	NUM
ejpam-4420	324	16	-	-	SYM
ejpam-4420	324	17	1300	1300	NUM
ejpam-4420	324	18	1294	1294	NUM
ejpam-4420	324	19	table	table	NOUN
ejpam-4420	324	20	1	1	NUM
ejpam-4420	324	21	:	:	PUNCT
ejpam-4420	324	22	waiting	wait	VERB
ejpam-4420	324	23	time	time	NOUN
ejpam-4420	324	24	(	(	PUNCT
ejpam-4420	324	25	in	in	ADP
ejpam-4420	324	26	minutes	minute	NOUN
ejpam-4420	324	27	)	)	PUNCT
ejpam-4420	324	28	of	of	ADP
ejpam-4420	324	29	100	100	NUM
ejpam-4420	324	30	bank	bank	NOUN
ejpam-4420	324	31	customers	customer	NOUN
ejpam-4420	324	32	.	.	PUNCT
ejpam-4420	325	1	waiting	wait	VERB
ejpam-4420	325	2	time	time	NOUN
ejpam-4420	325	3	(	(	PUNCT
ejpam-4420	325	4	minutes	minute	NOUN
ejpam-4420	325	5	)	)	PUNCT
ejpam-4420	325	6	observed	observe	VERB
ejpam-4420	325	7	frequency	frequency	NOUN
ejpam-4420	325	8	0	0	NUM
ejpam-4420	325	9	4.9	4.9	NUM
ejpam-4420	325	10	30	30	NUM
ejpam-4420	325	11	5	5	NUM
ejpam-4420	325	12	9.9	9.9	NUM
ejpam-4420	325	13	32	32	NUM
ejpam-4420	325	14	10	10	NUM
ejpam-4420	325	15	14.9	14.9	NUM
ejpam-4420	325	16	19	19	NUM
ejpam-4420	325	17	15	15	NUM
ejpam-4420	325	18	19.9	19.9	NUM
ejpam-4420	325	19	10	10	NUM
ejpam-4420	325	20	20	20	NUM
ejpam-4420	325	21	24.9	24.9	NUM
ejpam-4420	325	22	5	5	NUM
ejpam-4420	325	23	25	25	NUM
ejpam-4420	325	24	29.9	29.9	NUM
ejpam-4420	325	25	1	1	NUM
ejpam-4420	325	26	30	30	NUM
ejpam-4420	325	27	34.9	34.9	NUM
ejpam-4420	325	28	2	2	NUM
ejpam-4420	325	29	35	35	NUM
ejpam-4420	325	30	39.9	39.9	NUM
ejpam-4420	325	31	1	1	NUM
ejpam-4420	325	32	total	total	ADJ
ejpam-4420	325	33	100	100	NUM
ejpam-4420	325	34	table	table	NOUN
ejpam-4420	325	35	2	2	NUM
ejpam-4420	325	36	:	:	PUNCT
ejpam-4420	325	37	data	datum	NOUN
ejpam-4420	325	38	of	of	ADP
ejpam-4420	325	39	survival	survival	NOUN
ejpam-4420	325	40	time	time	NOUN
ejpam-4420	325	41	(	(	PUNCT
ejpam-4420	325	42	in	in	ADP
ejpam-4420	325	43	days	day	NOUN
ejpam-4420	325	44	)	)	PUNCT
ejpam-4420	325	45	of	of	ADP
ejpam-4420	325	46	72	72	NUM
ejpam-4420	325	47	guinea	guinea	NOUN
ejpam-4420	325	48	pigs	pig	NOUN
ejpam-4420	325	49	infected	infect	VERB
ejpam-4420	325	50	with	with	ADP
ejpam-4420	325	51	virulent	virulent	ADJ
ejpam-4420	325	52	tubercle	tubercle	NOUN
ejpam-4420	325	53	bacilli	bacilli	NOUN
ejpam-4420	325	54	.	.	PUNCT
ejpam-4420	326	1	survival	survival	NOUN
ejpam-4420	326	2	time	time	NOUN
ejpam-4420	326	3	(	(	PUNCT
ejpam-4420	326	4	days	day	NOUN
ejpam-4420	326	5	)	)	PUNCT
ejpam-4420	326	6	observed	observe	VERB
ejpam-4420	326	7	frequency	frequency	NOUN
ejpam-4420	326	8	0	0	NUM
ejpam-4420	326	9	79	79	NUM
ejpam-4420	326	10	8	8	NUM
ejpam-4420	326	11	80	80	NUM
ejpam-4420	326	12	159	159	NUM
ejpam-4420	326	13	30	30	NUM
ejpam-4420	326	14	160	160	NUM
ejpam-4420	326	15	239	239	NUM
ejpam-4420	326	16	18	18	NUM
ejpam-4420	326	17	240	240	NUM
ejpam-4420	326	18	319	319	NUM
ejpam-4420	326	19	8	8	NUM
ejpam-4420	326	20	320	320	NUM
ejpam-4420	326	21	399	399	NUM
ejpam-4420	326	22	4	4	NUM
ejpam-4420	326	23	400	400	NUM
ejpam-4420	326	24	479	479	NUM
ejpam-4420	326	25	3	3	NUM
ejpam-4420	326	26	480	480	NUM
ejpam-4420	326	27	559	559	NUM
ejpam-4420	326	28	1	1	NUM
ejpam-4420	326	29	total	total	NOUN
ejpam-4420	326	30	72	72	NUM
ejpam-4420	326	31	it	it	PRON
ejpam-4420	326	32	can	can	AUX
ejpam-4420	326	33	be	be	AUX
ejpam-4420	326	34	observed	observe	VERB
ejpam-4420	326	35	from	from	ADP
ejpam-4420	326	36	table	table	NOUN
ejpam-4420	326	37	4	4	NUM
ejpam-4420	326	38	that	that	PRON
ejpam-4420	326	39	the	the	DET
ejpam-4420	326	40	estimates	estimate	NOUN
ejpam-4420	326	41	obtained	obtain	VERB
ejpam-4420	326	42	via	via	ADP
ejpam-4420	326	43	uwls	uwls	ADJ
ejpam-4420	326	44	(	(	PUNCT
ejpam-4420	326	45	method	method	NOUN
ejpam-4420	326	46	3	3	NUM
ejpam-4420	326	47	-	-	SYM
ejpam-4420	326	48	6	6	NUM
ejpam-4420	326	49	)	)	PUNCT
ejpam-4420	326	50	and	and	CCONJ
ejpam-4420	326	51	wls	wls	PROPN
ejpam-4420	326	52	(	(	PUNCT
ejpam-4420	326	53	method	method	NOUN
ejpam-4420	326	54	7	7	NUM
ejpam-4420	326	55	-	-	SYM
ejpam-4420	326	56	10	10	NUM
ejpam-4420	326	57	)	)	PUNCT
ejpam-4420	326	58	are	be	AUX
ejpam-4420	326	59	very	very	ADV
ejpam-4420	326	60	same	same	ADJ
ejpam-4420	326	61	,	,	PUNCT
ejpam-4420	326	62	although	although	SCONJ
ejpam-4420	326	63	the	the	DET
ejpam-4420	326	64	estimates	estimate	NOUN
ejpam-4420	326	65	obtained	obtain	VERB
ejpam-4420	326	66	via	via	ADP
ejpam-4420	326	67	me	i	PRON
ejpam-4420	326	68	(	(	PUNCT
ejpam-4420	326	69	method	method	NOUN
ejpam-4420	326	70	1	1	NUM
ejpam-4420	326	71	)	)	PUNCT
ejpam-4420	326	72	have	have	VERB
ejpam-4420	326	73	the	the	DET
ejpam-4420	326	74	largest	large	ADJ
ejpam-4420	326	75	χ2	χ2	NOUN
ejpam-4420	326	76	,	,	PUNCT
ejpam-4420	326	77	this	this	DET
ejpam-4420	326	78	estimates	estimate	NOUN
ejpam-4420	326	79	is	be	AUX
ejpam-4420	326	80	directly	directly	ADV
ejpam-4420	326	81	calculated	calculate	VERB
ejpam-4420	326	82	and	and	CCONJ
ejpam-4420	326	83	it	it	PRON
ejpam-4420	326	84	is	be	AUX
ejpam-4420	326	85	not	not	PART
ejpam-4420	326	86	an	an	DET
ejpam-4420	326	87	iterative	iterative	NOUN
ejpam-4420	326	88	method	method	NOUN
ejpam-4420	326	89	like	like	ADP
ejpam-4420	326	90	the	the	DET
ejpam-4420	326	91	others	other	NOUN
ejpam-4420	326	92	.	.	PUNCT
ejpam-4420	327	1	mle	mle	PROPN
ejpam-4420	327	2	can	can	AUX
ejpam-4420	327	3	not	not	PART
ejpam-4420	327	4	calculate	calculate	VERB
ejpam-4420	327	5	the	the	DET
ejpam-4420	327	6	parameters	parameter	NOUN
ejpam-4420	327	7	.	.	PUNCT
ejpam-4420	328	1	the	the	DET
ejpam-4420	328	2	best	good	ADJ
ejpam-4420	328	3	performance	performance	NOUN
ejpam-4420	328	4	can	can	AUX
ejpam-4420	328	5	be	be	AUX
ejpam-4420	328	6	obtained	obtain	VERB
ejpam-4420	328	7	using	use	VERB
ejpam-4420	328	8	ga	ga	PROPN
ejpam-4420	328	9	(	(	PUNCT
ejpam-4420	328	10	method	method	PROPN
ejpam-4420	328	11	11	11	NUM
ejpam-4420	328	12	)	)	PUNCT
ejpam-4420	328	13	.	.	PUNCT
ejpam-4420	329	1	table	table	NOUN
ejpam-4420	329	2	5	5	NUM
ejpam-4420	329	3	shows	show	VERB
ejpam-4420	329	4	comparison	comparison	NOUN
ejpam-4420	329	5	parameter	parameter	NOUN
ejpam-4420	329	6	estimation	estimation	NOUN
ejpam-4420	329	7	for	for	ADP
ejpam-4420	329	8	the	the	DET
ejpam-4420	329	9	waiting	waiting	NOUN
ejpam-4420	329	10	time	time	NOUN
ejpam-4420	329	11	data	datum	NOUN
ejpam-4420	329	12	set	set	VERB
ejpam-4420	329	13	.	.	PUNCT
ejpam-4420	330	1	the	the	DET
ejpam-4420	330	2	estimator	estimator	NOUN
ejpam-4420	330	3	of	of	ADP
ejpam-4420	330	4	the	the	DET
ejpam-4420	330	5	lindley	lindley	NOUN
ejpam-4420	330	6	distribution	distribution	NOUN
ejpam-4420	330	7	has	have	AUX
ejpam-4420	330	8	been	be	AUX
ejpam-4420	330	9	obtained	obtain	VERB
ejpam-4420	330	10	by	by	ADP
ejpam-4420	330	11	the	the	DET
ejpam-4420	330	12	moment	moment	NOUN
ejpam-4420	330	13	estimation	estimation	NOUN
ejpam-4420	330	14	(	(	PUNCT
ejpam-4420	330	15	me	i	PRON
ejpam-4420	330	16	)	)	PUNCT
ejpam-4420	330	17	.	.	PUNCT
ejpam-4420	331	1	the	the	DET
ejpam-4420	331	2	estimators	estimator	NOUN
ejpam-4420	331	3	of	of	ADP
ejpam-4420	331	4	the	the	DET
ejpam-4420	331	5	sushila	sushila	NOUN
ejpam-4420	331	6	distribution	distribution	NOUN
ejpam-4420	331	7	have	have	AUX
ejpam-4420	331	8	been	be	AUX
ejpam-4420	331	9	obtained	obtain	VERB
ejpam-4420	331	10	by	by	ADP
ejpam-4420	331	11	the	the	DET
ejpam-4420	331	12	moment	moment	NOUN
ejpam-4420	331	13	estimation	estimation	NOUN
ejpam-4420	331	14	(	(	PUNCT
ejpam-4420	331	15	me	i	PRON
ejpam-4420	331	16	)	)	PUNCT
ejpam-4420	331	17	and	and	CCONJ
ejpam-4420	331	18	the	the	DET
ejpam-4420	331	19	maximum	maximum	ADJ
ejpam-4420	331	20	likelihood	likelihood	NOUN
ejpam-4420	331	21	estimates	estimate	NOUN
ejpam-4420	331	22	(	(	PUNCT
ejpam-4420	331	23	mle	mle	PROPN
ejpam-4420	331	24	)	)	PUNCT
ejpam-4420	331	25	.	.	PUNCT
ejpam-4420	332	1	the	the	DET
ejpam-4420	332	2	estimator	estimator	NOUN
ejpam-4420	332	3	of	of	ADP
ejpam-4420	332	4	new	new	ADJ
ejpam-4420	332	5	sushila	sushila	NOUN
ejpam-4420	332	6	distribution	distribution	NOUN
ejpam-4420	332	7	has	have	AUX
ejpam-4420	332	8	been	be	AUX
ejpam-4420	332	9	obtained	obtain	VERB
ejpam-4420	332	10	by	by	ADP
ejpam-4420	332	11	the	the	DET
ejpam-4420	332	12	genetic	genetic	ADJ
ejpam-4420	332	13	algorithm	algorithm	NOUN
ejpam-4420	332	14	(	(	PUNCT
ejpam-4420	332	15	ga	ga	PROPN
ejpam-4420	332	16	)	)	PUNCT
ejpam-4420	332	17	.	.	PUNCT
ejpam-4420	333	1	the	the	DET
ejpam-4420	333	2	results	result	NOUN
ejpam-4420	333	3	show	show	VERB
ejpam-4420	333	4	that	that	SCONJ
ejpam-4420	333	5	new	new	ADJ
ejpam-4420	333	6	sushila	sushila	NOUN
ejpam-4420	333	7	distribution	distribution	NOUN
ejpam-4420	333	8	gives	give	VERB
ejpam-4420	333	9	better	well	ADJ
ejpam-4420	333	10	performance	performance	NOUN
ejpam-4420	333	11	than	than	ADP
ejpam-4420	333	12	the	the	DET
ejpam-4420	333	13	lindley	lindley	NOUN
ejpam-4420	333	14	and	and	CCONJ
ejpam-4420	333	15	sushila	sushila	NOUN
ejpam-4420	333	16	distributions	distribution	NOUN
ejpam-4420	333	17	for	for	ADP
ejpam-4420	333	18	waiting	waiting	NOUN
ejpam-4420	333	19	time	time	NOUN
ejpam-4420	333	20	data	datum	NOUN
ejpam-4420	333	21	set	set	VERB
ejpam-4420	333	22	.	.	PUNCT
ejpam-4420	334	1	the	the	DET
ejpam-4420	334	2	survival	survival	PROPN
ejpam-4420	334	3	time	time	PROPN
ejpam-4420	334	4	data	datum	NOUN
ejpam-4420	334	5	set	set	VERB
ejpam-4420	334	6	in	in	ADP
ejpam-4420	334	7	table	table	NOUN
ejpam-4420	334	8	2	2	NUM
ejpam-4420	334	9	,	,	PUNCT
ejpam-4420	334	10	the	the	DET
ejpam-4420	334	11	estimator	estimator	NOUN
ejpam-4420	334	12	of	of	ADP
ejpam-4420	334	13	the	the	DET
ejpam-4420	334	14	sushila	sushila	NOUN
ejpam-4420	334	15	distribution	distribution	NOUN
ejpam-4420	334	16	is	be	AUX
ejpam-4420	334	17	obtained	obtain	VERB
ejpam-4420	334	18	by	by	ADP
ejpam-4420	334	19	the	the	DET
ejpam-4420	334	20	moment	moment	NOUN
ejpam-4420	334	21	estimation	estimation	NOUN
ejpam-4420	334	22	(	(	PUNCT
ejpam-4420	334	23	me	i	PRON
ejpam-4420	334	24	)	)	PUNCT
ejpam-4420	334	25	.	.	PUNCT
ejpam-4420	335	1	we	we	PRON
ejpam-4420	335	2	found	find	VERB
ejpam-4420	335	3	that	that	SCONJ
ejpam-4420	335	4	the	the	DET
ejpam-4420	335	5	parameter	parameter	NOUN
ejpam-4420	335	6	θ̂	θ̂	VERB
ejpam-4420	335	7	<	<	X
ejpam-4420	335	8	0	0	PROPN
ejpam-4420	335	9	,	,	PUNCT
ejpam-4420	335	10	the	the	DET
ejpam-4420	335	11	θ̂	θ̂	NUM
ejpam-4420	335	12	does	do	AUX
ejpam-4420	335	13	not	not	PART
ejpam-4420	335	14	satisfy	satisfy	VERB
ejpam-4420	335	15	the	the	DET
ejpam-4420	335	16	definition	definition	NOUN
ejpam-4420	335	17	of	of	ADP
ejpam-4420	335	18	sushila	sushila	NOUN
ejpam-4420	335	19	distribution	distribution	NOUN
ejpam-4420	335	20	.	.	PUNCT
ejpam-4420	336	1	therefore	therefore	ADV
ejpam-4420	336	2	we	we	PRON
ejpam-4420	336	3	can	can	AUX
ejpam-4420	336	4	not	not	PART
ejpam-4420	336	5	find	find	VERB
ejpam-4420	336	6	the	the	DET
ejpam-4420	336	7	estimators	estimator	NOUN
ejpam-4420	336	8	for	for	ADP
ejpam-4420	336	9	sushila	sushila	NOUN
ejpam-4420	336	10	distribution	distribution	NOUN
ejpam-4420	336	11	.	.	PUNCT
ejpam-4420	337	1	however	however	ADV
ejpam-4420	337	2	,	,	PUNCT
ejpam-4420	337	3	the	the	DET
ejpam-4420	337	4	new	new	ADJ
ejpam-4420	337	5	sushila	sushila	NOUN
ejpam-4420	337	6	distibution	distibution	NOUN
ejpam-4420	337	7	can	can	AUX
ejpam-4420	337	8	find	find	VERB
ejpam-4420	337	9	the	the	DET
ejpam-4420	337	10	estimators	estimator	NOUN
ejpam-4420	337	11	for	for	ADP
ejpam-4420	337	12	this	this	DET
ejpam-4420	337	13	data	datum	NOUN
ejpam-4420	337	14	as	as	ADP
ejpam-4420	337	15	the	the	DET
ejpam-4420	337	16	following	follow	VERB
ejpam-4420	337	17	table	table	NOUN
ejpam-4420	337	18	4	4	NUM
ejpam-4420	337	19	.	.	PUNCT
ejpam-4420	337	20	w.	w.	PROPN
ejpam-4420	337	21	ieosanurak	ieosanurak	PROPN
ejpam-4420	337	22	et	et	PROPN
ejpam-4420	338	1	al	al	PROPN
ejpam-4420	338	2	.	.	PUNCT
ejpam-4420	338	3	/	/	SYM
ejpam-4420	338	4	eur	eur	PROPN
ejpam-4420	338	5	.	.	PUNCT
ejpam-4420	339	1	j.	j.	PROPN
ejpam-4420	339	2	pure	pure	PROPN
ejpam-4420	339	3	appl	appl	PROPN
ejpam-4420	339	4	.	.	PROPN
ejpam-4420	339	5	math	math	PROPN
ejpam-4420	339	6	,	,	PUNCT
ejpam-4420	339	7	15	15	NUM
ejpam-4420	339	8	(	(	PUNCT
ejpam-4420	339	9	3	3	NUM
ejpam-4420	339	10	)	)	PUNCT
ejpam-4420	339	11	(	(	PUNCT
ejpam-4420	339	12	2022	2022	NUM
ejpam-4420	339	13	)	)	PUNCT
ejpam-4420	339	14	,	,	PUNCT
ejpam-4420	339	15	1280	1280	NUM
ejpam-4420	339	16	-	-	SYM
ejpam-4420	339	17	1300	1300	NUM
ejpam-4420	339	18	1295	1295	NUM
ejpam-4420	339	19	table	table	NOUN
ejpam-4420	339	20	3	3	NUM
ejpam-4420	339	21	:	:	PUNCT
ejpam-4420	339	22	me	i	PRON
ejpam-4420	339	23	,	,	PUNCT
ejpam-4420	339	24	mle	mle	PROPN
ejpam-4420	339	25	,	,	PUNCT
ejpam-4420	339	26	uwls	uwls	PROPN
ejpam-4420	339	27	,	,	PUNCT
ejpam-4420	339	28	wls	wl	NOUN
ejpam-4420	339	29	,	,	PUNCT
ejpam-4420	339	30	and	and	CCONJ
ejpam-4420	339	31	ga	ga	NOUN
ejpam-4420	339	32	estimators	estimator	NOUN
ejpam-4420	339	33	of	of	ADP
ejpam-4420	339	34	α	α	NOUN
ejpam-4420	339	35	and	and	CCONJ
ejpam-4420	339	36	θ	θ	PROPN
ejpam-4420	339	37	for	for	ADP
ejpam-4420	339	38	waiting	wait	VERB
ejpam-4420	339	39	time	time	NOUN
ejpam-4420	339	40	method	method	NOUN
ejpam-4420	339	41	α	α	PROPN
ejpam-4420	339	42	θ	θ	PROPN
ejpam-4420	339	43	χ2	χ2	NOUN
ejpam-4420	339	44	1	1	NUM
ejpam-4420	339	45	28.099565	28.099565	NUM
ejpam-4420	340	1	5.366360	5.366360	NUM
ejpam-4420	340	2	2.317336	2.317336	NUM
ejpam-4420	340	3	2	2	NUM
ejpam-4420	340	4	0.000398	0.000398	NUM
ejpam-4420	340	5	0.000032	0.000032	NUM
ejpam-4420	340	6	10.140794	10.140794	NUM
ejpam-4420	340	7	3	3	NUM
ejpam-4420	340	8	2.977747	2.977747	NUM
ejpam-4420	340	9	0.408350	0.408350	NUM
ejpam-4420	340	10	7.017687	7.017687	NUM
ejpam-4420	340	11	4	4	NUM
ejpam-4420	340	12	5.230973	5.230973	NUM
ejpam-4420	340	13	0.772538	0.772538	NUM
ejpam-4420	340	14	4.996613	4.996613	NUM
ejpam-4420	340	15	5	5	NUM
ejpam-4420	340	16	3.334206	3.334206	NUM
ejpam-4420	340	17	0.437684	0.437684	NUM
ejpam-4420	340	18	6.528164	6.528164	NUM
ejpam-4420	340	19	6	6	NUM
ejpam-4420	340	20	5.470875	5.470875	NUM
ejpam-4420	340	21	0.796321	0.796321	NUM
ejpam-4420	340	22	4.878338	4.878338	NUM
ejpam-4420	340	23	7	7	NUM
ejpam-4420	340	24	4.055956	4.055956	NUM
ejpam-4420	340	25	0.644292	0.644292	NUM
ejpam-4420	340	26	7.033345	7.033345	NUM
ejpam-4420	340	27	8	8	NUM
ejpam-4420	340	28	10.583034	10.583034	NUM
ejpam-4420	340	29	1.606832	1.606832	NUM
ejpam-4420	340	30	3.627089	3.627089	NUM
ejpam-4420	340	31	9	9	NUM
ejpam-4420	340	32	2.576107	2.576107	NUM
ejpam-4420	340	33	0.303251	0.303251	NUM
ejpam-4420	340	34	7.314763	7.314763	NUM
ejpam-4420	340	35	10	10	NUM
ejpam-4420	340	36	1.670607	1.670607	NUM
ejpam-4420	340	37	0.187810	0.187810	NUM
ejpam-4420	341	1	7.806489	7.806489	NUM
ejpam-4420	341	2	11	11	NUM
ejpam-4420	341	3	22	22	NUM
ejpam-4420	341	4	4	4	NUM
ejpam-4420	341	5	2.083757	2.083757	NUM
ejpam-4420	341	6	table	table	NOUN
ejpam-4420	341	7	4	4	NUM
ejpam-4420	341	8	:	:	PUNCT
ejpam-4420	341	9	me	i	PRON
ejpam-4420	341	10	,	,	PUNCT
ejpam-4420	341	11	mle	mle	PROPN
ejpam-4420	341	12	,	,	PUNCT
ejpam-4420	341	13	uwls	uwls	PROPN
ejpam-4420	341	14	,	,	PUNCT
ejpam-4420	341	15	wls	wl	NOUN
ejpam-4420	341	16	,	,	PUNCT
ejpam-4420	341	17	and	and	CCONJ
ejpam-4420	341	18	ga	ga	NOUN
ejpam-4420	341	19	estimators	estimator	NOUN
ejpam-4420	341	20	of	of	ADP
ejpam-4420	341	21	α	α	NOUN
ejpam-4420	341	22	and	and	CCONJ
ejpam-4420	341	23	θ	θ	PROPN
ejpam-4420	341	24	for	for	ADP
ejpam-4420	341	25	survival	survival	NOUN
ejpam-4420	341	26	time	time	NOUN
ejpam-4420	341	27	method	method	PROPN
ejpam-4420	341	28	α	α	PROPN
ejpam-4420	341	29	θ	θ	PROPN
ejpam-4420	341	30	χ2	χ2	PROPN
ejpam-4420	341	31	1	1	NUM
ejpam-4420	341	32	389.388353	389.388353	NUM
ejpam-4420	341	33	0.267269	0.267269	NUM
ejpam-4420	341	34	27.842259	27.842259	NUM
ejpam-4420	341	35	2	2	NUM
ejpam-4420	341	36	3	3	NUM
ejpam-4420	341	37	319.472049	319.472049	NUM
ejpam-4420	341	38	3.114969	3.114969	NUM
ejpam-4420	341	39	14.267841	14.267841	NUM
ejpam-4420	341	40	4	4	NUM
ejpam-4420	341	41	322.349246	322.349246	NUM
ejpam-4420	341	42	3.125277	3.125277	NUM
ejpam-4420	341	43	14.271553	14.271553	NUM
ejpam-4420	341	44	5	5	NUM
ejpam-4420	341	45	321.338306	321.338306	NUM
ejpam-4420	341	46	3.121736	3.121736	NUM
ejpam-4420	341	47	14.269368	14.269368	NUM
ejpam-4420	341	48	6	6	NUM
ejpam-4420	341	49	318.985074	318.985074	NUM
ejpam-4420	341	50	3.113425	3.113425	NUM
ejpam-4420	341	51	14.267277	14.267277	NUM
ejpam-4420	341	52	7	7	NUM
ejpam-4420	341	53	318.245084	318.245084	NUM
ejpam-4420	341	54	3.110803	3.110803	NUM
ejpam-4420	341	55	14.267468	14.267468	NUM
ejpam-4420	341	56	8	8	NUM
ejpam-4420	341	57	316.905403	316.905403	NUM
ejpam-4420	341	58	3.106044	3.106044	NUM
ejpam-4420	341	59	14.268873	14.268873	NUM
ejpam-4420	341	60	9	9	NUM
ejpam-4420	341	61	315.503637	315.503637	NUM
ejpam-4420	341	62	3.101055	3.101055	NUM
ejpam-4420	341	63	14.271810	14.271810	NUM
ejpam-4420	341	64	10	10	NUM
ejpam-4420	341	65	318.441567	318.441567	NUM
ejpam-4420	341	66	3.111500	3.111500	NUM
ejpam-4420	341	67	14.267377	14.267377	NUM
ejpam-4420	341	68	11	11	NUM
ejpam-4420	341	69	9438.901726	9438.901726	NUM
ejpam-4420	341	70	103	103	NUM
ejpam-4420	341	71	7.936444	7.936444	NUM
ejpam-4420	341	72	7	7	NUM
ejpam-4420	341	73	.	.	PUNCT
ejpam-4420	341	74	conclusion	conclusion	NOUN
ejpam-4420	341	75	a	a	DET
ejpam-4420	341	76	two	two	NUM
ejpam-4420	341	77	-	-	PUNCT
ejpam-4420	341	78	parameter	parameter	NOUN
ejpam-4420	341	79	continuous	continuous	ADJ
ejpam-4420	341	80	distribution	distribution	NOUN
ejpam-4420	341	81	,	,	PUNCT
ejpam-4420	341	82	called	call	VERB
ejpam-4420	341	83	new	new	ADJ
ejpam-4420	341	84	sushila	sushila	NOUN
ejpam-4420	341	85	distribution	distribution	NOUN
ejpam-4420	341	86	has	have	AUX
ejpam-4420	341	87	been	be	AUX
ejpam-4420	341	88	presented	present	VERB
ejpam-4420	341	89	.	.	PUNCT
ejpam-4420	342	1	some	some	DET
ejpam-4420	342	2	properties	property	NOUN
ejpam-4420	342	3	of	of	ADP
ejpam-4420	342	4	the	the	DET
ejpam-4420	342	5	distribution	distribution	NOUN
ejpam-4420	342	6	such	such	ADJ
ejpam-4420	342	7	as	as	ADP
ejpam-4420	342	8	cdf	cdf	NOUN
ejpam-4420	342	9	,	,	PUNCT
ejpam-4420	342	10	expected	expect	VERB
ejpam-4420	342	11	value	value	NOUN
ejpam-4420	342	12	,	,	PUNCT
ejpam-4420	342	13	the	the	DET
ejpam-4420	342	14	rth	rth	NOUN
ejpam-4420	342	15	moment	moment	NOUN
ejpam-4420	342	16	,	,	PUNCT
ejpam-4420	342	17	and	and	CCONJ
ejpam-4420	342	18	estimation	estimation	NOUN
ejpam-4420	342	19	of	of	ADP
ejpam-4420	342	20	parameters	parameter	NOUN
ejpam-4420	342	21	by	by	ADP
ejpam-4420	342	22	nonlinear	nonlinear	ADJ
ejpam-4420	342	23	least	least	ADJ
ejpam-4420	342	24	squares	square	NOUN
ejpam-4420	342	25	methods	method	NOUN
ejpam-4420	342	26	,	,	PUNCT
ejpam-4420	342	27	the	the	DET
ejpam-4420	342	28	maximum	maximum	ADJ
ejpam-4420	342	29	likelihood	likelihood	NOUN
ejpam-4420	342	30	estimation	estimation	NOUN
ejpam-4420	342	31	(	(	PUNCT
ejpam-4420	342	32	mle	mle	PROPN
ejpam-4420	342	33	)	)	PUNCT
ejpam-4420	342	34	,	,	PUNCT
ejpam-4420	342	35	the	the	DET
ejpam-4420	342	36	moment	moment	NOUN
ejpam-4420	342	37	estimation	estimation	NOUN
ejpam-4420	342	38	(	(	PUNCT
ejpam-4420	342	39	me	i	PRON
ejpam-4420	342	40	)	)	PUNCT
ejpam-4420	342	41	,	,	PUNCT
ejpam-4420	342	42	and	and	CCONJ
ejpam-4420	342	43	genetic	genetic	ADJ
ejpam-4420	342	44	algorithm	algorithm	NOUN
ejpam-4420	342	45	(	(	PUNCT
ejpam-4420	342	46	ga	ga	NOUN
ejpam-4420	342	47	)	)	PUNCT
ejpam-4420	342	48	have	have	AUX
ejpam-4420	342	49	been	be	AUX
ejpam-4420	342	50	discussed	discuss	VERB
ejpam-4420	342	51	.	.	PUNCT
ejpam-4420	343	1	we	we	PRON
ejpam-4420	343	2	found	find	VERB
ejpam-4420	343	3	that	that	SCONJ
ejpam-4420	343	4	the	the	DET
ejpam-4420	343	5	distribution	distribution	NOUN
ejpam-4420	343	6	contains	contain	VERB
ejpam-4420	343	7	the	the	DET
ejpam-4420	343	8	sushila	sushila	NOUN
ejpam-4420	343	9	distribution	distribution	NOUN
ejpam-4420	343	10	as	as	ADP
ejpam-4420	343	11	a	a	DET
ejpam-4420	343	12	particular	particular	ADJ
ejpam-4420	343	13	case	case	NOUN
ejpam-4420	343	14	p	p	X
ejpam-4420	343	15	=	=	NOUN
ejpam-4420	343	16	1	1	NUM
ejpam-4420	343	17	2	2	NUM
ejpam-4420	343	18	(	(	PUNCT
ejpam-4420	343	19	θ	θ	NOUN
ejpam-4420	343	20	=	=	SYM
ejpam-4420	343	21	1	1	NUM
ejpam-4420	343	22	)	)	PUNCT
ejpam-4420	343	23	.	.	PUNCT
ejpam-4420	344	1	finally	finally	ADV
ejpam-4420	344	2	,	,	PUNCT
ejpam-4420	344	3	the	the	DET
ejpam-4420	344	4	two	two	NUM
ejpam-4420	344	5	popular	popular	ADJ
ejpam-4420	344	6	methods	method	NOUN
ejpam-4420	344	7	to	to	PART
ejpam-4420	344	8	estimate	estimate	VERB
ejpam-4420	344	9	the	the	DET
ejpam-4420	344	10	parameters	parameter	NOUN
ejpam-4420	344	11	of	of	ADP
ejpam-4420	344	12	a	a	DET
ejpam-4420	344	13	probability	probability	NOUN
ejpam-4420	344	14	distribution	distribution	NOUN
ejpam-4420	344	15	are	be	AUX
ejpam-4420	344	16	maximum	maximum	ADJ
ejpam-4420	344	17	likelihood	likelihood	NOUN
ejpam-4420	344	18	(	(	PUNCT
ejpam-4420	344	19	mle	mle	PROPN
ejpam-4420	344	20	)	)	PUNCT
ejpam-4420	344	21	and	and	CCONJ
ejpam-4420	344	22	the	the	DET
ejpam-4420	344	23	method	method	NOUN
ejpam-4420	344	24	of	of	ADP
ejpam-4420	344	25	moments	moment	NOUN
ejpam-4420	344	26	(	(	PUNCT
ejpam-4420	344	27	me	i	PRON
ejpam-4420	344	28	)	)	PUNCT
ejpam-4420	344	29	,	,	PUNCT
ejpam-4420	344	30	and	and	CCONJ
ejpam-4420	344	31	the	the	DET
ejpam-4420	344	32	other	other	ADJ
ejpam-4420	344	33	method	method	NOUN
ejpam-4420	344	34	of	of	ADP
ejpam-4420	344	35	least	least	ADJ
ejpam-4420	344	36	squares	square	NOUN
ejpam-4420	344	37	(	(	PUNCT
ejpam-4420	344	38	uwls	uwls	ADJ
ejpam-4420	344	39	and	and	CCONJ
ejpam-4420	344	40	wls	wl	NOUN
ejpam-4420	344	41	)	)	PUNCT
ejpam-4420	344	42	with	with	ADP
ejpam-4420	344	43	various	various	ADJ
ejpam-4420	344	44	uik	uik	NOUN
ejpam-4420	344	45	and	and	CCONJ
ejpam-4420	344	46	genetic	genetic	ADJ
ejpam-4420	344	47	algorithm	algorithm	NOUN
ejpam-4420	344	48	(	(	PUNCT
ejpam-4420	344	49	ga	ga	PROPN
ejpam-4420	344	50	)	)	PUNCT
ejpam-4420	344	51	.	.	PUNCT
ejpam-4420	345	1	we	we	PRON
ejpam-4420	345	2	compare	compare	VERB
ejpam-4420	345	3	the	the	DET
ejpam-4420	345	4	11	11	NUM
ejpam-4420	345	5	methods	method	NOUN
ejpam-4420	345	6	to	to	PART
ejpam-4420	345	7	estimate	estimate	VERB
ejpam-4420	345	8	the	the	DET
ejpam-4420	345	9	parameters	parameter	NOUN
ejpam-4420	345	10	of	of	ADP
ejpam-4420	345	11	the	the	DET
ejpam-4420	345	12	new	new	ADJ
ejpam-4420	345	13	sushila	sushila	NOUN
ejpam-4420	345	14	distribution	distribution	NOUN
ejpam-4420	345	15	.	.	PUNCT
ejpam-4420	346	1	in	in	ADP
ejpam-4420	346	2	experiment	experiment	NOUN
ejpam-4420	346	3	,	,	PUNCT
ejpam-4420	346	4	we	we	PRON
ejpam-4420	346	5	observed	observe	VERB
ejpam-4420	346	6	that	that	SCONJ
ejpam-4420	346	7	the	the	DET
ejpam-4420	346	8	best	good	ADJ
ejpam-4420	346	9	parameter	parameter	NOUN
ejpam-4420	346	10	estimation	estimation	NOUN
ejpam-4420	346	11	is	be	AUX
ejpam-4420	346	12	obtained	obtain	VERB
ejpam-4420	346	13	via	via	ADP
ejpam-4420	346	14	ga	ga	PROPN
ejpam-4420	346	15	.	.	PUNCT
ejpam-4420	347	1	besides	besides	SCONJ
ejpam-4420	347	2	,	,	PUNCT
ejpam-4420	347	3	if	if	SCONJ
ejpam-4420	347	4	we	we	PRON
ejpam-4420	347	5	want	want	VERB
ejpam-4420	347	6	a	a	DET
ejpam-4420	347	7	fast	fast	ADJ
ejpam-4420	347	8	method	method	NOUN
ejpam-4420	347	9	to	to	PART
ejpam-4420	347	10	estimate	estimate	VERB
ejpam-4420	347	11	the	the	DET
ejpam-4420	347	12	parameters	parameter	NOUN
ejpam-4420	347	13	,	,	PUNCT
ejpam-4420	347	14	we	we	PRON
ejpam-4420	347	15	introduce	introduce	VERB
ejpam-4420	347	16	me	i	PRON
ejpam-4420	347	17	for	for	ADP
ejpam-4420	347	18	estimating	estimate	VERB
ejpam-4420	347	19	parameters	parameter	NOUN
ejpam-4420	347	20	;	;	PUNCT
ejpam-4420	347	21	moreover	moreover	ADV
ejpam-4420	347	22	,	,	PUNCT
ejpam-4420	347	23	we	we	PRON
ejpam-4420	347	24	present	present	VERB
ejpam-4420	347	25	an	an	DET
ejpam-4420	347	26	application	application	NOUN
ejpam-4420	347	27	of	of	ADP
ejpam-4420	347	28	new	new	ADJ
ejpam-4420	347	29	sushila	sushila	NOUN
ejpam-4420	347	30	distribution	distribution	NOUN
ejpam-4420	347	31	for	for	ADP
ejpam-4420	347	32	fitting	fit	VERB
ejpam-4420	347	33	the	the	DET
ejpam-4420	347	34	references	reference	NOUN
ejpam-4420	347	35	1296	1296	NUM
ejpam-4420	347	36	table	table	NOUN
ejpam-4420	347	37	5	5	NUM
ejpam-4420	347	38	:	:	PUNCT
ejpam-4420	347	39	comparing	compare	VERB
ejpam-4420	347	40	the	the	DET
ejpam-4420	347	41	estimation	estimation	NOUN
ejpam-4420	347	42	for	for	ADP
ejpam-4420	347	43	waiting	wait	VERB
ejpam-4420	347	44	time	time	NOUN
ejpam-4420	347	45	waiting	waiting	NOUN
ejpam-4420	347	46	time	time	NOUN
ejpam-4420	347	47	(	(	PUNCT
ejpam-4420	347	48	minutes	minute	NOUN
ejpam-4420	347	49	)	)	PUNCT
ejpam-4420	347	50	observed	observe	VERB
ejpam-4420	347	51	frequency	frequency	NOUN
ejpam-4420	347	52	lindley	lindley	NOUN
ejpam-4420	347	53	(	(	PUNCT
ejpam-4420	347	54	me	i	PRON
ejpam-4420	347	55	)	)	PUNCT
ejpam-4420	347	56	sushila	sushila	NOUN
ejpam-4420	347	57	(	(	PUNCT
ejpam-4420	347	58	me	i	PRON
ejpam-4420	347	59	)	)	PUNCT
ejpam-4420	347	60	sushila	sushila	PROPN
ejpam-4420	347	61	(	(	PUNCT
ejpam-4420	347	62	mle	mle	PROPN
ejpam-4420	347	63	)	)	PUNCT
ejpam-4420	347	64	new	new	ADJ
ejpam-4420	347	65	sushila	sushila	NOUN
ejpam-4420	347	66	(	(	PUNCT
ejpam-4420	347	67	ga	ga	NOUN
ejpam-4420	347	68	)	)	PUNCT
ejpam-4420	347	69	0	0	NUM
ejpam-4420	348	1	-4.9	-4.9	PROPN
ejpam-4420	348	2	30	30	NUM
ejpam-4420	348	3	29.8841	29.8841	NUM
ejpam-4420	348	4	29.8295	29.8295	NUM
ejpam-4420	348	5	32.3716	32.3716	NUM
ejpam-4420	348	6	29.7298	29.7298	NUM
ejpam-4420	348	7	5	5	NUM
ejpam-4420	348	8	-	-	SYM
ejpam-4420	348	9	9.9	9.9	NUM
ejpam-4420	348	10	32	32	NUM
ejpam-4420	348	11	30.2563	30.2563	NUM
ejpam-4420	348	12	30.3055	30.3055	NUM
ejpam-4420	348	13	21.7393	21.7393	NUM
ejpam-4420	348	14	29.2572	29.2572	NUM
ejpam-4420	348	15	10	10	NUM
ejpam-4420	348	16	-	-	SYM
ejpam-4420	348	17	14.9	14.9	NUM
ejpam-4420	348	18	19	19	NUM
ejpam-4420	348	19	18.8852	18.8852	NUM
ejpam-4420	348	20	18.9084	18.9084	NUM
ejpam-4420	348	21	14.5916	14.5916	NUM
ejpam-4420	348	22	18.7491	18.7491	NUM
ejpam-4420	348	23	15	15	NUM
ejpam-4420	348	24	-	-	SYM
ejpam-4420	348	25	19.9	19.9	NUM
ejpam-4420	348	26	10	10	NUM
ejpam-4420	348	27	10.0637	10.0637	NUM
ejpam-4420	348	28	10.0653	10.0653	NUM
ejpam-4420	348	29	9.7891	9.7891	NUM
ejpam-4420	348	30	10.3586	10.3586	NUM
ejpam-4420	348	31	20	20	NUM
ejpam-4420	348	32	-	-	SYM
ejpam-4420	348	33	24.9	24.9	NUM
ejpam-4420	348	34	5	5	NUM
ejpam-4420	348	35	4.9523	4.9523	NUM
ejpam-4420	348	36	4.9468	4.9468	NUM
ejpam-4420	348	37	6.5642	6.5642	NUM
ejpam-4420	348	38	5.3034	5.3034	NUM
ejpam-4420	348	39	25	25	NUM
ejpam-4420	348	40	-	-	SYM
ejpam-4420	348	41	29.9	29.9	NUM
ejpam-4420	348	42	1	1	NUM
ejpam-4420	348	43	2.3226	2.3226	NUM
ejpam-4420	348	44	2.3168	2.3168	NUM
ejpam-4420	348	45	4.3997	4.3997	NUM
ejpam-4420	348	46	2.5920	2.5920	NUM
ejpam-4420	348	47	30	30	NUM
ejpam-4420	348	48	-	-	SYM
ejpam-4420	348	49	34.9	34.9	NUM
ejpam-4420	348	50	2	2	NUM
ejpam-4420	348	51	1.0547	1.0547	NUM
ejpam-4420	348	52	1.0506	1.0506	NUM
ejpam-4420	348	53	2.9477	2.9477	NUM
ejpam-4420	348	54	1.2277	1.2277	NUM
ejpam-4420	348	55	35	35	NUM
ejpam-4420	348	56	-	-	SYM
ejpam-4420	348	57	39.9	39.9	NUM
ejpam-4420	348	58	1	1	NUM
ejpam-4420	348	59	0.4680	0.4680	NUM
ejpam-4420	348	60	0.4655	0.4655	NUM
ejpam-4420	348	61	1.9740	1.9740	NUM
ejpam-4420	348	62	0.5685	0.5685	NUM
ejpam-4420	348	63	total	total	ADJ
ejpam-4420	348	64	100	100	NUM
ejpam-4420	348	65	97.8870	97.8870	NUM
ejpam-4420	348	66	97.8884	97.8884	NUM
ejpam-4420	348	67	94.3772	94.3772	NUM
ejpam-4420	348	68	97.7864	97.7864	NUM
ejpam-4420	348	69	paramters	paramter	NOUN
ejpam-4420	348	70	θ̂	θ̂	PUNCT
ejpam-4420	349	1	=	=	SYM
ejpam-4420	349	2	0.1907	0.1907	NUM
ejpam-4420	349	3	θ̂	θ̂	NUM
ejpam-4420	349	4	=	=	X
ejpam-4420	349	5	17.9493	17.9493	NUM
ejpam-4420	349	6	θ̂	θ̂	NUM
ejpam-4420	349	7	=	=	SYM
ejpam-4420	349	8	0.1863	0.1863	NUM
ejpam-4420	349	9	θ̂	θ̂	NUM
ejpam-4420	349	10	=	=	NOUN
ejpam-4420	349	11	4	4	NUM
ejpam-4420	349	12	α̂	α̂	NUM
ejpam-4420	349	13	=	=	SYM
ejpam-4420	349	14	213.1197	213.1197	NUM
ejpam-4420	349	15	α̂	α̂	NUM
ejpam-4420	349	16	=	=	SYM
ejpam-4420	349	17	0.9758	0.9758	NUM
ejpam-4420	349	18	α̂	α̂	NUM
ejpam-4420	349	19	=	=	SYM
ejpam-4420	349	20	22	22	NUM
ejpam-4420	349	21	χ2	χ2	PROPN
ejpam-4420	349	22	2.3074	2.3074	NUM
ejpam-4420	349	23	2.3173	2.3173	NUM
ejpam-4420	349	24	10.1382	10.1382	NUM
ejpam-4420	349	25	2.0813	2.0813	NUM
ejpam-4420	349	26	waiting	waiting	NOUN
ejpam-4420	349	27	time	time	NOUN
ejpam-4420	349	28	data	datum	NOUN
ejpam-4420	349	29	and	and	CCONJ
ejpam-4420	349	30	survival	survival	PROPN
ejpam-4420	349	31	time	time	NOUN
ejpam-4420	349	32	.	.	PUNCT
ejpam-4420	350	1	furthermore	furthermore	ADV
ejpam-4420	350	2	,	,	PUNCT
ejpam-4420	350	3	we	we	PRON
ejpam-4420	350	4	compare	compare	VERB
ejpam-4420	350	5	new	new	ADJ
ejpam-4420	350	6	sushila	sushila	NOUN
ejpam-4420	350	7	distribution	distribution	NOUN
ejpam-4420	350	8	with	with	ADP
ejpam-4420	350	9	lindley	lindley	NOUN
ejpam-4420	350	10	and	and	CCONJ
ejpam-4420	350	11	sushila	sushila	NOUN
ejpam-4420	350	12	distributions	distribution	NOUN
ejpam-4420	350	13	for	for	ADP
ejpam-4420	350	14	the	the	DET
ejpam-4420	350	15	waiting	waiting	NOUN
ejpam-4420	350	16	time	time	NOUN
ejpam-4420	350	17	data	data	PROPN
ejpam-4420	350	18	.	.	PUNCT
ejpam-4420	351	1	the	the	DET
ejpam-4420	351	2	results	result	NOUN
ejpam-4420	351	3	show	show	VERB
ejpam-4420	351	4	that	that	SCONJ
ejpam-4420	351	5	new	new	ADJ
ejpam-4420	351	6	sushila	sushila	NOUN
ejpam-4420	351	7	gives	give	VERB
ejpam-4420	351	8	better	well	ADV
ejpam-4420	351	9	fit	fit	ADJ
ejpam-4420	351	10	than	than	ADP
ejpam-4420	351	11	both	both	CCONJ
ejpam-4420	351	12	the	the	DET
ejpam-4420	351	13	lindley	lindley	NOUN
ejpam-4420	351	14	and	and	CCONJ
ejpam-4420	351	15	suhila	suhila	ADJ
ejpam-4420	351	16	distribution	distribution	NOUN
ejpam-4420	351	17	.	.	PUNCT
ejpam-4420	352	1	besides	besides	SCONJ
ejpam-4420	352	2	,	,	PUNCT
ejpam-4420	352	3	the	the	DET
ejpam-4420	352	4	sushila	sushila	NOUN
ejpam-4420	352	5	distribution	distribution	NOUN
ejpam-4420	352	6	can	can	AUX
ejpam-4420	352	7	not	not	PART
ejpam-4420	352	8	find	find	VERB
ejpam-4420	352	9	the	the	DET
ejpam-4420	352	10	estimator	estimator	NOUN
ejpam-4420	352	11	for	for	ADP
ejpam-4420	352	12	the	the	DET
ejpam-4420	352	13	survival	survival	NOUN
ejpam-4420	352	14	time	time	PROPN
ejpam-4420	352	15	data	data	PROPN
ejpam-4420	352	16	.	.	PUNCT
ejpam-4420	353	1	in	in	ADP
ejpam-4420	353	2	future	future	ADJ
ejpam-4420	353	3	work	work	NOUN
ejpam-4420	353	4	,	,	PUNCT
ejpam-4420	353	5	we	we	PRON
ejpam-4420	353	6	will	will	AUX
ejpam-4420	353	7	adjust	adjust	VERB
ejpam-4420	353	8	the	the	DET
ejpam-4420	353	9	genetic	genetic	ADJ
ejpam-4420	353	10	algorithm	algorithm	NOUN
ejpam-4420	353	11	for	for	ADP
ejpam-4420	353	12	estimating	estimate	VERB
ejpam-4420	353	13	parameter	parameter	NOUN
ejpam-4420	353	14	.	.	PUNCT
ejpam-4420	354	1	on	on	ADP
ejpam-4420	354	2	the	the	DET
ejpam-4420	354	3	other	other	ADJ
ejpam-4420	354	4	hand	hand	NOUN
ejpam-4420	354	5	as	as	SCONJ
ejpam-4420	354	6	there	there	PRON
ejpam-4420	354	7	are	be	VERB
ejpam-4420	354	8	other	other	ADJ
ejpam-4420	354	9	well	well	ADV
ejpam-4420	354	10	established	establish	VERB
ejpam-4420	354	11	meta	meta	ADJ
ejpam-4420	354	12	-	-	PUNCT
ejpam-4420	354	13	heuristics	heuristic	NOUN
ejpam-4420	354	14	,	,	PUNCT
ejpam-4420	354	15	such	such	ADJ
ejpam-4420	354	16	as	as	ADP
ejpam-4420	354	17	bee	bee	NOUN
ejpam-4420	354	18	and	and	CCONJ
ejpam-4420	354	19	ant	ant	ADJ
ejpam-4420	354	20	colony	colony	NOUN
ejpam-4420	354	21	.	.	PUNCT
ejpam-4420	355	1	we	we	PRON
ejpam-4420	355	2	can	can	AUX
ejpam-4420	355	3	use	use	VERB
ejpam-4420	355	4	them	they	PRON
ejpam-4420	355	5	for	for	ADP
ejpam-4420	355	6	a	a	DET
ejpam-4420	355	7	better	well	ADJ
ejpam-4420	355	8	estimation	estimation	NOUN
ejpam-4420	355	9	.	.	PUNCT
ejpam-4420	356	1	acknowledgements	acknowledgement	NOUN
ejpam-4420	356	2	this	this	DET
ejpam-4420	356	3	research	research	NOUN
ejpam-4420	356	4	is	be	AUX
ejpam-4420	356	5	funded	fund	VERB
ejpam-4420	356	6	by	by	ADP
ejpam-4420	356	7	the	the	DET
ejpam-4420	356	8	young	young	ADJ
ejpam-4420	356	9	researcher	researcher	NOUN
ejpam-4420	356	10	development	development	NOUN
ejpam-4420	356	11	project	project	NOUN
ejpam-4420	356	12	of	of	ADP
ejpam-4420	356	13	khon	khon	PROPN
ejpam-4420	356	14	kaen	kaen	PROPN
ejpam-4420	356	15	university	university	PROPN
ejpam-4420	356	16	year	year	NOUN
ejpam-4420	356	17	2022	2022	NUM
ejpam-4420	356	18	.	.	PUNCT
ejpam-4420	357	1	the	the	DET
ejpam-4420	357	2	authors	author	NOUN
ejpam-4420	357	3	would	would	AUX
ejpam-4420	357	4	like	like	VERB
ejpam-4420	357	5	to	to	PART
ejpam-4420	357	6	thank	thank	VERB
ejpam-4420	357	7	the	the	DET
ejpam-4420	357	8	editor	editor	NOUN
ejpam-4420	357	9	and	and	CCONJ
ejpam-4420	357	10	anonymous	anonymous	ADJ
ejpam-4420	357	11	reviewers	reviewer	NOUN
ejpam-4420	357	12	for	for	ADP
ejpam-4420	357	13	their	their	PRON
ejpam-4420	357	14	constructive	constructive	ADJ
ejpam-4420	357	15	comments	comment	NOUN
ejpam-4420	357	16	that	that	PRON
ejpam-4420	357	17	improved	improve	VERB
ejpam-4420	357	18	the	the	DET
ejpam-4420	357	19	final	final	ADJ
ejpam-4420	357	20	version	version	NOUN
ejpam-4420	357	21	of	of	ADP
ejpam-4420	357	22	the	the	DET
ejpam-4420	357	23	paper	paper	NOUN
ejpam-4420	357	24	.	.	PUNCT
ejpam-4420	358	1	references	reference	NOUN
ejpam-4420	358	2	[	[	X
ejpam-4420	358	3	1	1	NUM
ejpam-4420	358	4	]	]	SYM
ejpam-4420	358	5	v	v	X
ejpam-4420	358	6	barnett	barnett	PROPN
ejpam-4420	358	7	.	.	PUNCT
ejpam-4420	359	1	probability	probability	NOUN
ejpam-4420	359	2	plotting	plotting	NOUN
ejpam-4420	359	3	methods	method	NOUN
ejpam-4420	359	4	and	and	CCONJ
ejpam-4420	359	5	order	order	NOUN
ejpam-4420	359	6	statistics	statistic	NOUN
ejpam-4420	359	7	.	.	PUNCT
ejpam-4420	360	1	journal	journal	NOUN
ejpam-4420	360	2	of	of	ADP
ejpam-4420	360	3	the	the	DET
ejpam-4420	360	4	royal	royal	ADJ
ejpam-4420	360	5	statistical	statistical	ADJ
ejpam-4420	360	6	society	society	NOUN
ejpam-4420	360	7	.	.	PUNCT
ejpam-4420	361	1	series	series	PROPN
ejpam-4420	361	2	c	c	PROPN
ejpam-4420	361	3	(	(	PUNCT
ejpam-4420	361	4	applied	apply	VERB
ejpam-4420	361	5	statistics	statistic	NOUN
ejpam-4420	361	6	)	)	PUNCT
ejpam-4420	361	7	,	,	PUNCT
ejpam-4420	361	8	24(1):95–108	24(1):95–108	NUM
ejpam-4420	361	9	,	,	PUNCT
ejpam-4420	361	10	1975	1975	NUM
ejpam-4420	361	11	.	.	PUNCT
ejpam-4420	362	1	[	[	X
ejpam-4420	362	2	2	2	NUM
ejpam-4420	362	3	]	]	SYM
ejpam-4420	362	4	b	b	X
ejpam-4420	362	5	bergman	bergman	PROPN
ejpam-4420	362	6	.	.	PUNCT
ejpam-4420	363	1	estimation	estimation	NOUN
ejpam-4420	363	2	of	of	ADP
ejpam-4420	363	3	weibull	weibull	NOUN
ejpam-4420	363	4	parameters	parameter	NOUN
ejpam-4420	363	5	using	use	VERB
ejpam-4420	363	6	a	a	DET
ejpam-4420	363	7	weight	weight	NOUN
ejpam-4420	363	8	function	function	NOUN
ejpam-4420	363	9	.	.	PUNCT
ejpam-4420	364	1	journal	journal	NOUN
ejpam-4420	364	2	of	of	ADP
ejpam-4420	364	3	materials	material	NOUN
ejpam-4420	364	4	science	science	NOUN
ejpam-4420	364	5	letters	letter	NOUN
ejpam-4420	364	6	,	,	PUNCT
ejpam-4420	364	7	5(6):611–614	5(6):611–614	NUM
ejpam-4420	364	8	,	,	PUNCT
ejpam-4420	364	9	1986	1986	NUM
ejpam-4420	364	10	.	.	PUNCT
ejpam-4420	365	1	[	[	X
ejpam-4420	365	2	3	3	X
ejpam-4420	365	3	]	]	X
ejpam-4420	365	4	p	p	X
ejpam-4420	365	5	bickel	bickel	NOUN
ejpam-4420	365	6	and	and	CCONJ
ejpam-4420	365	7	k	k	PROPN
ejpam-4420	365	8	doksum	doksum	PROPN
ejpam-4420	365	9	.	.	PUNCT
ejpam-4420	366	1	mathematical	mathematical	ADJ
ejpam-4420	366	2	statistics	statistic	NOUN
ejpam-4420	366	3	:	:	PUNCT
ejpam-4420	366	4	basic	basic	ADJ
ejpam-4420	366	5	ideas	idea	NOUN
ejpam-4420	366	6	and	and	CCONJ
ejpam-4420	366	7	selected	select	VERB
ejpam-4420	366	8	topics	topic	NOUN
ejpam-4420	366	9	.	.	PUNCT
ejpam-4420	367	1	2d	2d	NOUN
ejpam-4420	367	2	.	.	PUNCT
ejpam-4420	368	1	ed	ed	NOUN
ejpam-4420	368	2	.	.	PUNCT
ejpam-4420	368	3	vol	vol	NOUN
ejpam-4420	368	4	.	.	PROPN
ejpam-4420	368	5	1	1	NUM
ejpam-4420	368	6	prentice	prentice	NOUN
ejpam-4420	368	7	hall	hall	NOUN
ejpam-4420	368	8	.	.	PUNCT
ejpam-4420	369	1	upper	upper	ADJ
ejpam-4420	369	2	saddle	saddle	PROPN
ejpam-4420	369	3	river	river	PROPN
ejpam-4420	369	4	,	,	PUNCT
ejpam-4420	369	5	nj	nj	PROPN
ejpam-4420	369	6	,	,	PUNCT
ejpam-4420	369	7	2001	2001	NUM
ejpam-4420	369	8	.	.	PUNCT
ejpam-4420	370	1	[	[	X
ejpam-4420	370	2	4	4	NUM
ejpam-4420	370	3	]	]	X
ejpam-4420	370	4	r	r	NOUN
ejpam-4420	370	5	d’agostino	d’agostino	NOUN
ejpam-4420	370	6	and	and	CCONJ
ejpam-4420	370	7	m	m	PROPN
ejpam-4420	370	8	stephens	stephen	NOUN
ejpam-4420	370	9	.	.	PUNCT
ejpam-4420	371	1	goodness	goodness	NOUN
ejpam-4420	371	2	-	-	PUNCT
ejpam-4420	371	3	of	of	ADP
ejpam-4420	371	4	-	-	PUNCT
ejpam-4420	371	5	fit	fit	NOUN
ejpam-4420	371	6	techniques	technique	NOUN
ejpam-4420	371	7	.	.	PUNCT
ejpam-4420	372	1	marcel	marcel	PROPN
ejpam-4420	372	2	dekker	dekker	PROPN
ejpam-4420	372	3	,	,	PUNCT
ejpam-4420	372	4	inc	inc	PROPN
ejpam-4420	372	5	.	.	PROPN
ejpam-4420	372	6	,	,	PUNCT
ejpam-4420	372	7	usa	usa	PROPN
ejpam-4420	372	8	,	,	PUNCT
ejpam-4420	372	9	1986	1986	NUM
ejpam-4420	372	10	.	.	PUNCT
ejpam-4420	373	1	references	reference	NOUN
ejpam-4420	373	2	1297	1297	NUM
ejpam-4420	373	3	[	[	X
ejpam-4420	373	4	5	5	NUM
ejpam-4420	373	5	]	]	X
ejpam-4420	373	6	quentin	quentin	PROPN
ejpam-4420	373	7	gemine	gemine	PROPN
ejpam-4420	373	8	,	,	PUNCT
ejpam-4420	373	9	bertrand	bertrand	PROPN
ejpam-4420	373	10	cornélusse	cornélusse	PROPN
ejpam-4420	373	11	,	,	PUNCT
ejpam-4420	373	12	mevludin	mevludin	ADJ
ejpam-4420	373	13	glavic	glavic	ADJ
ejpam-4420	373	14	,	,	PUNCT
ejpam-4420	373	15	raphael	raphael	PROPN
ejpam-4420	373	16	fonteneau	fonteneau	PROPN
ejpam-4420	373	17	,	,	PUNCT
ejpam-4420	373	18	and	and	CCONJ
ejpam-4420	373	19	damien	damien	PROPN
ejpam-4420	373	20	ernst	ernst	PROPN
ejpam-4420	373	21	.	.	PUNCT
ejpam-4420	374	1	a	a	DET
ejpam-4420	374	2	gaussian	gaussian	ADJ
ejpam-4420	374	3	mixture	mixture	NOUN
ejpam-4420	374	4	approach	approach	NOUN
ejpam-4420	374	5	to	to	ADP
ejpam-4420	374	6	model	model	VERB
ejpam-4420	374	7	stochastic	stochastic	NOUN
ejpam-4420	374	8	processes	process	NOUN
ejpam-4420	374	9	in	in	ADP
ejpam-4420	374	10	power	power	NOUN
ejpam-4420	374	11	systems	system	NOUN
ejpam-4420	374	12	.	.	PUNCT
ejpam-4420	375	1	in	in	ADP
ejpam-4420	375	2	2016	2016	NUM
ejpam-4420	375	3	power	power	NOUN
ejpam-4420	375	4	systems	system	NOUN
ejpam-4420	375	5	computation	computation	NOUN
ejpam-4420	375	6	conference	conference	NOUN
ejpam-4420	375	7	(	(	PUNCT
ejpam-4420	375	8	pscc	pscc	PROPN
ejpam-4420	375	9	)	)	PUNCT
ejpam-4420	375	10	,	,	PUNCT
ejpam-4420	375	11	pages	page	NOUN
ejpam-4420	375	12	1–7	1–7	NUM
ejpam-4420	375	13	.	.	PUNCT
ejpam-4420	375	14	ieee	ieee	PROPN
ejpam-4420	375	15	,	,	PUNCT
ejpam-4420	375	16	2016	2016	NUM
ejpam-4420	375	17	.	.	PUNCT
ejpam-4420	376	1	[	[	X
ejpam-4420	376	2	6	6	NUM
ejpam-4420	376	3	]	]	X
ejpam-4420	376	4	d	d	X
ejpam-4420	376	5	v	v	ADP
ejpam-4420	376	6	lindley	lindley	NOUN
ejpam-4420	376	7	.	.	PUNCT
ejpam-4420	377	1	fiducial	fiducial	ADJ
ejpam-4420	377	2	distributions	distribution	NOUN
ejpam-4420	377	3	and	and	CCONJ
ejpam-4420	377	4	bayes	bayes	PROPN
ejpam-4420	377	5	’	'	PUNCT
ejpam-4420	377	6	theorem	theorem	PROPN
ejpam-4420	377	7	.	.	PROPN
ejpam-4420	377	8	journal	journal	PROPN
ejpam-4420	377	9	of	of	ADP
ejpam-4420	377	10	the	the	DET
ejpam-4420	377	11	royal	royal	ADJ
ejpam-4420	377	12	statistical	statistical	ADJ
ejpam-4420	377	13	society	society	NOUN
ejpam-4420	377	14	,	,	PUNCT
ejpam-4420	377	15	20(31):102–107	20(31):102–107	PROPN
ejpam-4420	377	16	,	,	PUNCT
ejpam-4420	377	17	1985	1985	NUM
ejpam-4420	377	18	.	.	PUNCT
ejpam-4420	378	1	[	[	X
ejpam-4420	378	2	7	7	X
ejpam-4420	378	3	]	]	X
ejpam-4420	378	4	showkat	showkat	PROPN
ejpam-4420	378	5	ahmad	ahmad	PROPN
ejpam-4420	378	6	lone	lone	PROPN
ejpam-4420	378	7	,	,	PUNCT
ejpam-4420	378	8	sadia	sadia	PROPN
ejpam-4420	378	9	anwar	anwar	PROPN
ejpam-4420	378	10	,	,	PUNCT
ejpam-4420	378	11	tabassum	tabassum	PROPN
ejpam-4420	378	12	naz	naz	PROPN
ejpam-4420	378	13	sindhu	sindhu	PROPN
ejpam-4420	378	14	,	,	PUNCT
ejpam-4420	378	15	and	and	CCONJ
ejpam-4420	378	16	fahd	fahd	PROPN
ejpam-4420	378	17	jarad	jarad	PROPN
ejpam-4420	378	18	.	.	PUNCT
ejpam-4420	379	1	some	some	DET
ejpam-4420	379	2	estimation	estimation	NOUN
ejpam-4420	379	3	methods	method	NOUN
ejpam-4420	379	4	for	for	ADP
ejpam-4420	379	5	mixture	mixture	NOUN
ejpam-4420	379	6	of	of	ADP
ejpam-4420	379	7	extreme	extreme	ADJ
ejpam-4420	379	8	value	value	NOUN
ejpam-4420	379	9	distributions	distribution	NOUN
ejpam-4420	379	10	with	with	ADP
ejpam-4420	379	11	simulation	simulation	NOUN
ejpam-4420	379	12	and	and	CCONJ
ejpam-4420	379	13	application	application	NOUN
ejpam-4420	379	14	in	in	ADP
ejpam-4420	379	15	medicine	medicine	NOUN
ejpam-4420	379	16	.	.	PUNCT
ejpam-4420	380	1	results	result	NOUN
ejpam-4420	380	2	in	in	ADP
ejpam-4420	380	3	physics	physics	NOUN
ejpam-4420	380	4	,	,	PUNCT
ejpam-4420	380	5	37:105496	37:105496	NUM
ejpam-4420	380	6	,	,	PUNCT
ejpam-4420	380	7	2022	2022	NUM
ejpam-4420	380	8	.	.	PUNCT
ejpam-4420	381	1	[	[	X
ejpam-4420	381	2	8	8	NUM
ejpam-4420	381	3	]	]	X
ejpam-4420	381	4	showkat	showkat	PROPN
ejpam-4420	381	5	ahmad	ahmad	PROPN
ejpam-4420	381	6	lone	lone	PROPN
ejpam-4420	381	7	,	,	PUNCT
ejpam-4420	381	8	tabassum	tabassum	PROPN
ejpam-4420	381	9	naz	naz	PROPN
ejpam-4420	381	10	sindhu	sindhu	PROPN
ejpam-4420	381	11	,	,	PUNCT
ejpam-4420	381	12	anum	anum	PROPN
ejpam-4420	381	13	shafiq	shafiq	PROPN
ejpam-4420	381	14	,	,	PUNCT
ejpam-4420	381	15	and	and	CCONJ
ejpam-4420	381	16	fahd	fahd	PROPN
ejpam-4420	381	17	jarad	jarad	PROPN
ejpam-4420	381	18	.	.	PUNCT
ejpam-4420	382	1	a	a	DET
ejpam-4420	382	2	novel	novel	NOUN
ejpam-4420	382	3	extended	extend	VERB
ejpam-4420	382	4	gumbel	gumbel	PROPN
ejpam-4420	382	5	type	type	NOUN
ejpam-4420	382	6	ii	ii	PROPN
ejpam-4420	382	7	model	model	NOUN
ejpam-4420	382	8	with	with	ADP
ejpam-4420	382	9	statistical	statistical	ADJ
ejpam-4420	382	10	inference	inference	NOUN
ejpam-4420	382	11	and	and	CCONJ
ejpam-4420	382	12	covid-19	covid-19	PROPN
ejpam-4420	382	13	applications	application	NOUN
ejpam-4420	382	14	.	.	PUNCT
ejpam-4420	383	1	results	result	NOUN
ejpam-4420	383	2	in	in	ADP
ejpam-4420	383	3	physics	physics	NOUN
ejpam-4420	383	4	,	,	PUNCT
ejpam-4420	383	5	35:105377	35:105377	NUM
ejpam-4420	383	6	,	,	PUNCT
ejpam-4420	383	7	2022	2022	NUM
ejpam-4420	383	8	.	.	PUNCT
ejpam-4420	384	1	[	[	X
ejpam-4420	384	2	9	9	NUM
ejpam-4420	384	3	]	]	X
ejpam-4420	384	4	shuwei	shuwei	PROPN
ejpam-4420	384	5	miao	miao	PROPN
ejpam-4420	384	6	,	,	PUNCT
ejpam-4420	384	7	kaigui	kaigui	PROPN
ejpam-4420	384	8	xie	xie	PROPN
ejpam-4420	384	9	,	,	PUNCT
ejpam-4420	384	10	hejun	hejun	PROPN
ejpam-4420	384	11	yang	yang	PROPN
ejpam-4420	384	12	,	,	PUNCT
ejpam-4420	384	13	rajesh	rajesh	PROPN
ejpam-4420	384	14	karki	karki	PROPN
ejpam-4420	384	15	,	,	PUNCT
ejpam-4420	384	16	heng	heng	PROPN
ejpam-4420	384	17	-	-	PUNCT
ejpam-4420	384	18	ming	ming	PROPN
ejpam-4420	384	19	tai	tai	PROPN
ejpam-4420	384	20	,	,	PUNCT
ejpam-4420	384	21	and	and	CCONJ
ejpam-4420	384	22	tao	tao	PROPN
ejpam-4420	384	23	chen	chen	PROPN
ejpam-4420	384	24	.	.	PUNCT
ejpam-4420	385	1	a	a	DET
ejpam-4420	385	2	mixture	mixture	NOUN
ejpam-4420	385	3	kernel	kernel	NOUN
ejpam-4420	385	4	density	density	NOUN
ejpam-4420	385	5	model	model	NOUN
ejpam-4420	385	6	for	for	ADP
ejpam-4420	385	7	wind	wind	NOUN
ejpam-4420	385	8	speed	speed	NOUN
ejpam-4420	385	9	probability	probability	NOUN
ejpam-4420	385	10	distribution	distribution	NOUN
ejpam-4420	385	11	estimation	estimation	NOUN
ejpam-4420	385	12	.	.	PUNCT
ejpam-4420	386	1	energy	energy	NOUN
ejpam-4420	386	2	conversion	conversion	NOUN
ejpam-4420	386	3	and	and	CCONJ
ejpam-4420	386	4	management	management	NOUN
ejpam-4420	386	5	,	,	PUNCT
ejpam-4420	386	6	126:1066–1083	126:1066–1083	NUM
ejpam-4420	386	7	,	,	PUNCT
ejpam-4420	386	8	2016	2016	NUM
ejpam-4420	386	9	.	.	PUNCT
ejpam-4420	387	1	[	[	X
ejpam-4420	387	2	10	10	NUM
ejpam-4420	387	3	]	]	X
ejpam-4420	387	4	anum	anum	PROPN
ejpam-4420	387	5	shafiq	shafiq	PROPN
ejpam-4420	387	6	,	,	PUNCT
ejpam-4420	387	7	tabassum	tabassum	PROPN
ejpam-4420	387	8	naz	naz	PROPN
ejpam-4420	387	9	sindhu	sindhu	PROPN
ejpam-4420	387	10	,	,	PUNCT
ejpam-4420	387	11	and	and	CCONJ
ejpam-4420	387	12	naif	naif	ADJ
ejpam-4420	387	13	alotaibi	alotaibi	NOUN
ejpam-4420	387	14	.	.	PUNCT
ejpam-4420	388	1	a	a	DET
ejpam-4420	388	2	novel	novel	ADJ
ejpam-4420	388	3	extended	extend	VERB
ejpam-4420	388	4	model	model	NOUN
ejpam-4420	388	5	with	with	ADP
ejpam-4420	388	6	versatile	versatile	ADJ
ejpam-4420	388	7	shaped	shaped	ADJ
ejpam-4420	388	8	failure	failure	NOUN
ejpam-4420	388	9	rate	rate	NOUN
ejpam-4420	388	10	:	:	PUNCT
ejpam-4420	388	11	statistical	statistical	ADJ
ejpam-4420	388	12	inference	inference	NOUN
ejpam-4420	388	13	with	with	ADP
ejpam-4420	388	14	covid-19	covid-19	PROPN
ejpam-4420	388	15	applications	application	NOUN
ejpam-4420	388	16	.	.	PUNCT
ejpam-4420	389	1	results	result	NOUN
ejpam-4420	389	2	in	in	ADP
ejpam-4420	389	3	physics	physics	NOUN
ejpam-4420	389	4	,	,	PUNCT
ejpam-4420	389	5	36:105398	36:105398	NUM
ejpam-4420	389	6	,	,	PUNCT
ejpam-4420	389	7	2022	2022	NUM
ejpam-4420	389	8	.	.	PUNCT
ejpam-4420	390	1	[	[	X
ejpam-4420	390	2	11	11	NUM
ejpam-4420	390	3	]	]	X
ejpam-4420	390	4	r	r	NOUN
ejpam-4420	390	5	shanker	shanker	NOUN
ejpam-4420	390	6	and	and	CCONJ
ejpam-4420	390	7	ag	ag	PROPN
ejpam-4420	390	8	amanuel	amanuel	PROPN
ejpam-4420	390	9	.	.	PUNCT
ejpam-4420	391	1	a	a	DET
ejpam-4420	391	2	new	new	ADJ
ejpam-4420	391	3	quasi	quasi	ADJ
ejpam-4420	391	4	lindley	lindley	NOUN
ejpam-4420	391	5	distribution	distribution	NOUN
ejpam-4420	391	6	.	.	PUNCT
ejpam-4420	392	1	international	international	ADJ
ejpam-4420	392	2	journal	journal	PROPN
ejpam-4420	392	3	of	of	ADP
ejpam-4420	392	4	statistics	statistic	NOUN
ejpam-4420	392	5	and	and	CCONJ
ejpam-4420	392	6	systems	system	NOUN
ejpam-4420	392	7	,	,	PUNCT
ejpam-4420	392	8	8(2):143–156	8(2):143–156	NUM
ejpam-4420	392	9	,	,	PUNCT
ejpam-4420	392	10	2013	2013	NUM
ejpam-4420	392	11	.	.	PUNCT
ejpam-4420	393	1	[	[	X
ejpam-4420	393	2	12	12	NUM
ejpam-4420	393	3	]	]	X
ejpam-4420	393	4	r	r	NOUN
ejpam-4420	393	5	shanker	shanker	NOUN
ejpam-4420	393	6	,	,	PUNCT
ejpam-4420	393	7	h	h	NOUN
ejpam-4420	393	8	fesshaye	fesshaye	NOUN
ejpam-4420	393	9	,	,	PUNCT
ejpam-4420	393	10	and	and	CCONJ
ejpam-4420	393	11	s	s	PROPN
ejpam-4420	393	12	sharma	sharma	PROPN
ejpam-4420	393	13	.	.	PUNCT
ejpam-4420	394	1	on	on	ADP
ejpam-4420	394	2	two	two	NUM
ejpam-4420	394	3	parameter	parameter	NOUN
ejpam-4420	394	4	lindley	lindley	NOUN
ejpam-4420	394	5	distribution	distribution	NOUN
ejpam-4420	394	6	and	and	CCONJ
ejpam-4420	394	7	its	its	PRON
ejpam-4420	394	8	applications	application	NOUN
ejpam-4420	394	9	to	to	PART
ejpam-4420	394	10	model	model	VERB
ejpam-4420	394	11	lifetime	lifetime	NOUN
ejpam-4420	394	12	data	datum	NOUN
ejpam-4420	394	13	.	.	PUNCT
ejpam-4420	395	1	biometrics	biometrics	PROPN
ejpam-4420	395	2	&	&	CCONJ
ejpam-4420	395	3	biostatistics	biostatistics	PROPN
ejpam-4420	395	4	international	international	PROPN
ejpam-4420	395	5	journal	journal	PROPN
ejpam-4420	395	6	,	,	PUNCT
ejpam-4420	395	7	3(1):9–15	3(1):9–15	PROPN
ejpam-4420	395	8	,	,	PUNCT
ejpam-4420	395	9	2016	2016	NUM
ejpam-4420	395	10	.	.	PUNCT
ejpam-4420	396	1	[	[	X
ejpam-4420	396	2	13	13	NUM
ejpam-4420	396	3	]	]	X
ejpam-4420	396	4	r	r	NOUN
ejpam-4420	396	5	shanker	shanker	NOUN
ejpam-4420	396	6	and	and	CCONJ
ejpam-4420	396	7	a	a	DET
ejpam-4420	396	8	mishra	mishra	PROPN
ejpam-4420	396	9	.	.	PUNCT
ejpam-4420	397	1	a	a	DET
ejpam-4420	397	2	quasi	quasi	ADJ
ejpam-4420	397	3	lindley	lindley	NOUN
ejpam-4420	397	4	distribution	distribution	NOUN
ejpam-4420	397	5	.	.	PUNCT
ejpam-4420	398	1	african	african	ADJ
ejpam-4420	398	2	journal	journal	PROPN
ejpam-4420	398	3	of	of	ADP
ejpam-4420	398	4	mathematics	mathematics	PROPN
ejpam-4420	398	5	and	and	CCONJ
ejpam-4420	398	6	computer	computer	NOUN
ejpam-4420	398	7	science	science	NOUN
ejpam-4420	398	8	research	research	NOUN
ejpam-4420	398	9	,	,	PUNCT
ejpam-4420	398	10	6(4):64–71	6(4):64–71	NUM
ejpam-4420	398	11	,	,	PUNCT
ejpam-4420	398	12	2013	2013	NUM
ejpam-4420	398	13	.	.	PUNCT
ejpam-4420	399	1	[	[	X
ejpam-4420	399	2	14	14	NUM
ejpam-4420	399	3	]	]	X
ejpam-4420	399	4	r	r	NOUN
ejpam-4420	399	5	shanker	shanker	NOUN
ejpam-4420	399	6	,	,	PUNCT
ejpam-4420	399	7	s	s	NOUN
ejpam-4420	399	8	sharma	sharma	NOUN
ejpam-4420	399	9	,	,	PUNCT
ejpam-4420	399	10	and	and	CCONJ
ejpam-4420	399	11	r	r	NOUN
ejpam-4420	399	12	shanker	shanker	NOUN
ejpam-4420	399	13	.	.	PUNCT
ejpam-4420	400	1	a	a	DET
ejpam-4420	400	2	two	two	NUM
ejpam-4420	400	3	-	-	PUNCT
ejpam-4420	400	4	parameter	parameter	NOUN
ejpam-4420	400	5	lindley	lindley	NOUN
ejpam-4420	400	6	distribution	distribution	NOUN
ejpam-4420	400	7	for	for	ADP
ejpam-4420	400	8	modeling	modeling	NOUN
ejpam-4420	400	9	waiting	waiting	NOUN
ejpam-4420	400	10	and	and	CCONJ
ejpam-4420	400	11	survival	survival	PROPN
ejpam-4420	400	12	times	times	PROPN
ejpam-4420	400	13	data	data	PROPN
ejpam-4420	400	14	.	.	PUNCT
ejpam-4420	401	1	4:363–368	4:363–368	NUM
ejpam-4420	401	2	,	,	PUNCT
ejpam-4420	401	3	2013	2013	NUM
ejpam-4420	401	4	.	.	PUNCT
ejpam-4420	402	1	[	[	X
ejpam-4420	402	2	15	15	NUM
ejpam-4420	402	3	]	]	X
ejpam-4420	402	4	r	r	NOUN
ejpam-4420	402	5	shanker	shanker	NOUN
ejpam-4420	402	6	,	,	PUNCT
ejpam-4420	402	7	s	s	NOUN
ejpam-4420	402	8	sharma	sharma	PROPN
ejpam-4420	402	9	,	,	PUNCT
ejpam-4420	402	10	u	u	NOUN
ejpam-4420	402	11	shanker	shanker	NOUN
ejpam-4420	402	12	,	,	PUNCT
ejpam-4420	402	13	and	and	CCONJ
ejpam-4420	402	14	r	r	NOUN
ejpam-4420	402	15	shanker	shanker	NOUN
ejpam-4420	402	16	.	.	PUNCT
ejpam-4420	403	1	janardan	janardan	PROPN
ejpam-4420	403	2	distribution	distribution	NOUN
ejpam-4420	403	3	and	and	CCONJ
ejpam-4420	403	4	its	its	PRON
ejpam-4420	403	5	application	application	NOUN
ejpam-4420	403	6	to	to	ADP
ejpam-4420	403	7	waiting	waiting	NOUN
ejpam-4420	403	8	times	times	PROPN
ejpam-4420	403	9	data	data	PROPN
ejpam-4420	403	10	.	.	PUNCT
ejpam-4420	404	1	indian	indian	PROPN
ejpam-4420	404	2	journal	journal	PROPN
ejpam-4420	404	3	of	of	ADP
ejpam-4420	404	4	applied	apply	VERB
ejpam-4420	404	5	research	research	NOUN
ejpam-4420	404	6	,	,	PUNCT
ejpam-4420	404	7	3:500–502	3:500–502	PROPN
ejpam-4420	404	8	,	,	PUNCT
ejpam-4420	404	9	10	10	NUM
ejpam-4420	404	10	2011	2011	NUM
ejpam-4420	404	11	.	.	PUNCT
ejpam-4420	405	1	[	[	X
ejpam-4420	405	2	16	16	NUM
ejpam-4420	405	3	]	]	X
ejpam-4420	405	4	r	r	NOUN
ejpam-4420	405	5	shanker	shanker	NOUN
ejpam-4420	405	6	,	,	PUNCT
ejpam-4420	405	7	s	s	NOUN
ejpam-4420	405	8	sharma	sharma	PROPN
ejpam-4420	405	9	,	,	PUNCT
ejpam-4420	405	10	u	u	NOUN
ejpam-4420	405	11	shanker	shanker	NOUN
ejpam-4420	405	12	,	,	PUNCT
ejpam-4420	405	13	and	and	CCONJ
ejpam-4420	405	14	r	r	NOUN
ejpam-4420	405	15	shanker	shanker	NOUN
ejpam-4420	405	16	.	.	PUNCT
ejpam-4420	406	1	sushila	sushila	NOUN
ejpam-4420	406	2	distribution	distribution	NOUN
ejpam-4420	406	3	and	and	CCONJ
ejpam-4420	406	4	its	its	PRON
ejpam-4420	406	5	application	application	NOUN
ejpam-4420	406	6	to	to	ADP
ejpam-4420	406	7	waiting	waiting	NOUN
ejpam-4420	406	8	times	times	PROPN
ejpam-4420	406	9	data	data	PROPN
ejpam-4420	406	10	.	.	PUNCT
ejpam-4420	407	1	international	international	ADJ
ejpam-4420	407	2	journal	journal	PROPN
ejpam-4420	407	3	of	of	ADP
ejpam-4420	407	4	business	business	NOUN
ejpam-4420	407	5	management	management	NOUN
ejpam-4420	407	6	,	,	PUNCT
ejpam-4420	407	7	3(2):1–11	3(2):1–11	NUM
ejpam-4420	407	8	,	,	PUNCT
ejpam-4420	407	9	2013	2013	NUM
ejpam-4420	407	10	.	.	PUNCT
ejpam-4420	408	1	[	[	X
ejpam-4420	408	2	17	17	NUM
ejpam-4420	408	3	]	]	X
ejpam-4420	408	4	tabassum	tabassum	PROPN
ejpam-4420	408	5	naz	naz	PROPN
ejpam-4420	408	6	sindhu	sindhu	PROPN
ejpam-4420	408	7	,	,	PUNCT
ejpam-4420	408	8	muhammad	muhammad	PROPN
ejpam-4420	408	9	aslam	aslam	PROPN
ejpam-4420	408	10	,	,	PUNCT
ejpam-4420	408	11	and	and	CCONJ
ejpam-4420	408	12	zawar	zawar	NOUN
ejpam-4420	408	13	hussain	hussain	PROPN
ejpam-4420	408	14	.	.	PUNCT
ejpam-4420	409	1	a	a	DET
ejpam-4420	409	2	simulation	simulation	NOUN
ejpam-4420	409	3	study	study	NOUN
ejpam-4420	409	4	of	of	ADP
ejpam-4420	409	5	parameters	parameter	NOUN
ejpam-4420	409	6	for	for	ADP
ejpam-4420	409	7	the	the	DET
ejpam-4420	409	8	censored	censor	VERB
ejpam-4420	409	9	shifted	shift	VERB
ejpam-4420	409	10	gompertz	gompertz	NOUN
ejpam-4420	409	11	mixture	mixture	NOUN
ejpam-4420	409	12	distribution	distribution	NOUN
ejpam-4420	409	13	:	:	PUNCT
ejpam-4420	409	14	a	a	DET
ejpam-4420	409	15	bayesian	bayesian	NOUN
ejpam-4420	409	16	approach	approach	NOUN
ejpam-4420	409	17	.	.	PUNCT
ejpam-4420	410	1	journal	journal	PROPN
ejpam-4420	410	2	of	of	ADP
ejpam-4420	410	3	statistics	statistic	NOUN
ejpam-4420	410	4	and	and	CCONJ
ejpam-4420	410	5	management	management	NOUN
ejpam-4420	410	6	systems	system	NOUN
ejpam-4420	410	7	,	,	PUNCT
ejpam-4420	410	8	19(3):423–450	19(3):423–450	NUM
ejpam-4420	410	9	,	,	PUNCT
ejpam-4420	410	10	2016	2016	NUM
ejpam-4420	410	11	.	.	PUNCT
ejpam-4420	411	1	references	reference	NOUN
ejpam-4420	411	2	1298	1298	NUM
ejpam-4420	411	3	[	[	X
ejpam-4420	411	4	18	18	NUM
ejpam-4420	411	5	]	]	PUNCT
ejpam-4420	411	6	tabassum	tabassum	PROPN
ejpam-4420	411	7	naz	naz	PROPN
ejpam-4420	411	8	sindhu	sindhu	PROPN
ejpam-4420	411	9	,	,	PUNCT
ejpam-4420	411	10	navid	navid	PROPN
ejpam-4420	411	11	feroze	feroze	PROPN
ejpam-4420	411	12	,	,	PUNCT
ejpam-4420	411	13	and	and	CCONJ
ejpam-4420	411	14	muhammad	muhammad	PROPN
ejpam-4420	411	15	aslam	aslam	PROPN
ejpam-4420	411	16	.	.	PUNCT
ejpam-4420	412	1	bayesian	bayesian	NOUN
ejpam-4420	412	2	analysis	analysis	NOUN
ejpam-4420	412	3	of	of	ADP
ejpam-4420	412	4	the	the	DET
ejpam-4420	412	5	kumaraswamy	kumaraswamy	ADJ
ejpam-4420	412	6	distribution	distribution	NOUN
ejpam-4420	412	7	under	under	ADP
ejpam-4420	412	8	failure	failure	NOUN
ejpam-4420	412	9	censoring	censor	VERB
ejpam-4420	412	10	sampling	sample	VERB
ejpam-4420	412	11	scheme	scheme	NOUN
ejpam-4420	412	12	.	.	PUNCT
ejpam-4420	413	1	international	international	ADJ
ejpam-4420	413	2	journal	journal	NOUN
ejpam-4420	413	3	of	of	ADP
ejpam-4420	413	4	advanced	advanced	ADJ
ejpam-4420	413	5	science	science	NOUN
ejpam-4420	413	6	and	and	CCONJ
ejpam-4420	413	7	technology	technology	NOUN
ejpam-4420	413	8	,	,	PUNCT
ejpam-4420	413	9	51:39–58	51:39–58	NUM
ejpam-4420	413	10	,	,	PUNCT
ejpam-4420	413	11	2013	2013	NUM
ejpam-4420	413	12	.	.	PUNCT
ejpam-4420	414	1	[	[	X
ejpam-4420	414	2	19	19	NUM
ejpam-4420	414	3	]	]	X
ejpam-4420	414	4	tabassum	tabassum	PROPN
ejpam-4420	414	5	naz	naz	PROPN
ejpam-4420	414	6	sindhu	sindhu	PROPN
ejpam-4420	414	7	,	,	PUNCT
ejpam-4420	414	8	navid	navid	PROPN
ejpam-4420	414	9	feroze	feroze	PROPN
ejpam-4420	414	10	,	,	PUNCT
ejpam-4420	414	11	and	and	CCONJ
ejpam-4420	414	12	muhammad	muhammad	PROPN
ejpam-4420	414	13	aslam	aslam	PROPN
ejpam-4420	414	14	.	.	PUNCT
ejpam-4420	415	1	a	a	DET
ejpam-4420	415	2	class	class	NOUN
ejpam-4420	415	3	of	of	ADP
ejpam-4420	415	4	improved	improve	VERB
ejpam-4420	415	5	informative	informative	ADJ
ejpam-4420	415	6	priors	prior	NOUN
ejpam-4420	415	7	for	for	ADP
ejpam-4420	415	8	bayesian	bayesian	NOUN
ejpam-4420	415	9	analysis	analysis	NOUN
ejpam-4420	415	10	of	of	ADP
ejpam-4420	415	11	two	two	NUM
ejpam-4420	415	12	-	-	PUNCT
ejpam-4420	415	13	component	component	NOUN
ejpam-4420	415	14	mixture	mixture	NOUN
ejpam-4420	415	15	of	of	ADP
ejpam-4420	415	16	failure	failure	NOUN
ejpam-4420	415	17	time	time	NOUN
ejpam-4420	415	18	distributions	distribution	NOUN
ejpam-4420	415	19	from	from	ADP
ejpam-4420	415	20	doubly	doubly	ADV
ejpam-4420	415	21	censored	censor	VERB
ejpam-4420	415	22	data	datum	NOUN
ejpam-4420	415	23	.	.	PUNCT
ejpam-4420	416	1	journal	journal	PROPN
ejpam-4420	416	2	of	of	ADP
ejpam-4420	416	3	statistics	statistic	NOUN
ejpam-4420	416	4	and	and	CCONJ
ejpam-4420	416	5	management	management	NOUN
ejpam-4420	416	6	systems	system	NOUN
ejpam-4420	416	7	,	,	PUNCT
ejpam-4420	416	8	20(5):871–900	20(5):871–900	NOUN
ejpam-4420	416	9	,	,	PUNCT
ejpam-4420	416	10	2017	2017	NUM
ejpam-4420	416	11	.	.	PUNCT
ejpam-4420	417	1	[	[	X
ejpam-4420	417	2	20	20	NUM
ejpam-4420	417	3	]	]	X
ejpam-4420	417	4	tabassum	tabassum	PROPN
ejpam-4420	417	5	naz	naz	PROPN
ejpam-4420	417	6	sindhu	sindhu	PROPN
ejpam-4420	417	7	and	and	CCONJ
ejpam-4420	417	8	zawar	zawar	PROPN
ejpam-4420	417	9	hussain	hussain	PROPN
ejpam-4420	417	10	.	.	PUNCT
ejpam-4420	418	1	predictive	predictive	ADJ
ejpam-4420	418	2	inference	inference	NOUN
ejpam-4420	418	3	and	and	CCONJ
ejpam-4420	418	4	parameter	parameter	NOUN
ejpam-4420	418	5	estimation	estimation	NOUN
ejpam-4420	418	6	from	from	ADP
ejpam-4420	418	7	the	the	DET
ejpam-4420	418	8	half	half	ADJ
ejpam-4420	418	9	-	-	PUNCT
ejpam-4420	418	10	normal	normal	ADJ
ejpam-4420	418	11	distribution	distribution	NOUN
ejpam-4420	418	12	for	for	ADP
ejpam-4420	418	13	the	the	DET
ejpam-4420	418	14	left	left	ADJ
ejpam-4420	418	15	censored	censored	ADJ
ejpam-4420	418	16	data	datum	NOUN
ejpam-4420	418	17	.	.	PUNCT
ejpam-4420	419	1	annals	annal	NOUN
ejpam-4420	419	2	of	of	ADP
ejpam-4420	419	3	data	data	NOUN
ejpam-4420	419	4	science	science	NOUN
ejpam-4420	419	5	,	,	PUNCT
ejpam-4420	419	6	pages	page	NOUN
ejpam-4420	419	7	1–15	1–15	NUM
ejpam-4420	419	8	,	,	PUNCT
ejpam-4420	419	9	2020	2020	NUM
ejpam-4420	419	10	.	.	PUNCT
ejpam-4420	420	1	[	[	X
ejpam-4420	420	2	21	21	NUM
ejpam-4420	420	3	]	]	X
ejpam-4420	420	4	tabassum	tabassum	PROPN
ejpam-4420	420	5	naz	naz	PROPN
ejpam-4420	420	6	sindhu	sindhu	PROPN
ejpam-4420	420	7	,	,	PUNCT
ejpam-4420	420	8	zawar	zawar	PROPN
ejpam-4420	420	9	hussain	hussain	PROPN
ejpam-4420	420	10	,	,	PUNCT
ejpam-4420	420	11	naif	naif	ADJ
ejpam-4420	420	12	alotaibi	alotaibi	NOUN
ejpam-4420	420	13	,	,	PUNCT
ejpam-4420	420	14	and	and	CCONJ
ejpam-4420	420	15	taseer	taseer	PROPN
ejpam-4420	420	16	muhammad	muhammad	PROPN
ejpam-4420	420	17	.	.	PUNCT
ejpam-4420	420	18	estimation	estimation	NOUN
ejpam-4420	420	19	method	method	NOUN
ejpam-4420	420	20	of	of	ADP
ejpam-4420	420	21	mixture	mixture	NOUN
ejpam-4420	420	22	distribution	distribution	NOUN
ejpam-4420	420	23	and	and	CCONJ
ejpam-4420	420	24	modeling	modeling	NOUN
ejpam-4420	420	25	of	of	ADP
ejpam-4420	420	26	covid-19	covid-19	PROPN
ejpam-4420	420	27	pandemic	pandemic	NOUN
ejpam-4420	420	28	.	.	PUNCT
ejpam-4420	421	1	aims	aim	VERB
ejpam-4420	421	2	mathematics	mathematic	NOUN
ejpam-4420	421	3	,	,	PUNCT
ejpam-4420	421	4	7(6):9926–9956	7(6):9926–9956	NUM
ejpam-4420	421	5	,	,	PUNCT
ejpam-4420	421	6	2022	2022	NUM
ejpam-4420	421	7	.	.	PUNCT
ejpam-4420	422	1	[	[	X
ejpam-4420	422	2	22	22	NUM
ejpam-4420	422	3	]	]	PUNCT
ejpam-4420	422	4	tabassum	tabassum	PROPN
ejpam-4420	422	5	naz	naz	PROPN
ejpam-4420	422	6	sindhu	sindhu	PROPN
ejpam-4420	422	7	,	,	PUNCT
ejpam-4420	422	8	zawar	zawar	NOUN
ejpam-4420	422	9	hussain	hussain	PROPN
ejpam-4420	422	10	,	,	PUNCT
ejpam-4420	422	11	and	and	CCONJ
ejpam-4420	422	12	muhammad	muhammad	PROPN
ejpam-4420	422	13	aslam	aslam	PROPN
ejpam-4420	422	14	.	.	PUNCT
ejpam-4420	423	1	on	on	ADP
ejpam-4420	423	2	the	the	DET
ejpam-4420	423	3	bayesian	bayesian	NOUN
ejpam-4420	423	4	analysis	analysis	NOUN
ejpam-4420	423	5	of	of	ADP
ejpam-4420	423	6	censored	censor	VERB
ejpam-4420	423	7	mixture	mixture	NOUN
ejpam-4420	423	8	of	of	ADP
ejpam-4420	423	9	two	two	NUM
ejpam-4420	423	10	topp	topp	NOUN
ejpam-4420	423	11	-	-	PUNCT
ejpam-4420	423	12	leone	leone	NOUN
ejpam-4420	423	13	distribution	distribution	NOUN
ejpam-4420	423	14	.	.	PUNCT
ejpam-4420	424	1	sri	sri	PROPN
ejpam-4420	424	2	lankan	lankan	PROPN
ejpam-4420	424	3	journal	journal	PROPN
ejpam-4420	424	4	of	of	ADP
ejpam-4420	424	5	applied	apply	VERB
ejpam-4420	424	6	statistics	statistic	NOUN
ejpam-4420	424	7	,	,	PUNCT
ejpam-4420	424	8	19(1):13	19(1):13	NUM
ejpam-4420	424	9	,	,	PUNCT
ejpam-4420	424	10	2019	2019	NUM
ejpam-4420	424	11	.	.	PUNCT
ejpam-4420	425	1	[	[	X
ejpam-4420	425	2	23	23	NUM
ejpam-4420	425	3	]	]	X
ejpam-4420	425	4	tabassum	tabassum	PROPN
ejpam-4420	425	5	naz	naz	PROPN
ejpam-4420	425	6	sindhu	sindhu	PROPN
ejpam-4420	425	7	,	,	PUNCT
ejpam-4420	425	8	anum	anum	PROPN
ejpam-4420	425	9	shafiq	shafiq	PROPN
ejpam-4420	425	10	,	,	PUNCT
ejpam-4420	425	11	and	and	CCONJ
ejpam-4420	425	12	qasem	qasem	PROPN
ejpam-4420	425	13	m	m	PROPN
ejpam-4420	425	14	al	al	PROPN
ejpam-4420	425	15	-	-	PUNCT
ejpam-4420	425	16	mdallal	mdallal	PROPN
ejpam-4420	425	17	.	.	PUNCT
ejpam-4420	426	1	exponentiated	exponentiate	VERB
ejpam-4420	426	2	transformation	transformation	NOUN
ejpam-4420	426	3	of	of	ADP
ejpam-4420	426	4	gumbel	gumbel	PROPN
ejpam-4420	426	5	type	type	NOUN
ejpam-4420	426	6	-	-	PUNCT
ejpam-4420	426	7	ii	ii	NOUN
ejpam-4420	426	8	distribution	distribution	NOUN
ejpam-4420	426	9	for	for	ADP
ejpam-4420	426	10	modeling	model	VERB
ejpam-4420	426	11	covid-19	covid-19	PROPN
ejpam-4420	426	12	data	datum	NOUN
ejpam-4420	426	13	.	.	PUNCT
ejpam-4420	427	1	alexandria	alexandria	PROPN
ejpam-4420	427	2	engineering	engineering	PROPN
ejpam-4420	427	3	journal	journal	PROPN
ejpam-4420	427	4	,	,	PUNCT
ejpam-4420	427	5	60(1):671–689	60(1):671–689	NOUN
ejpam-4420	427	6	,	,	PUNCT
ejpam-4420	427	7	2021	2021	NUM
ejpam-4420	427	8	.	.	PUNCT
ejpam-4420	428	1	[	[	X
ejpam-4420	428	2	24	24	NUM
ejpam-4420	428	3	]	]	PUNCT
ejpam-4420	428	4	tabassum	tabassum	PROPN
ejpam-4420	428	5	naz	naz	PROPN
ejpam-4420	428	6	sindhu	sindhu	PROPN
ejpam-4420	428	7	,	,	PUNCT
ejpam-4420	428	8	anum	anum	PROPN
ejpam-4420	428	9	shafiq	shafiq	PROPN
ejpam-4420	428	10	,	,	PUNCT
ejpam-4420	428	11	and	and	CCONJ
ejpam-4420	428	12	qasem	qasem	PROPN
ejpam-4420	428	13	m	m	PROPN
ejpam-4420	428	14	al	al	PROPN
ejpam-4420	428	15	-	-	PUNCT
ejpam-4420	428	16	mdallal	mdallal	PROPN
ejpam-4420	428	17	.	.	PUNCT
ejpam-4420	429	1	on	on	ADP
ejpam-4420	429	2	the	the	DET
ejpam-4420	429	3	analysis	analysis	NOUN
ejpam-4420	429	4	of	of	ADP
ejpam-4420	429	5	number	number	NOUN
ejpam-4420	429	6	of	of	ADP
ejpam-4420	429	7	deaths	death	NOUN
ejpam-4420	429	8	due	due	ADP
ejpam-4420	429	9	to	to	ADP
ejpam-4420	429	10	covid19	covid19	PROPN
ejpam-4420	429	11	outbreak	outbreak	NOUN
ejpam-4420	429	12	data	datum	NOUN
ejpam-4420	429	13	using	use	VERB
ejpam-4420	429	14	a	a	DET
ejpam-4420	429	15	new	new	ADJ
ejpam-4420	429	16	class	class	NOUN
ejpam-4420	429	17	of	of	ADP
ejpam-4420	429	18	distributions	distribution	NOUN
ejpam-4420	429	19	.	.	PUNCT
ejpam-4420	430	1	results	result	NOUN
ejpam-4420	430	2	in	in	ADP
ejpam-4420	430	3	physics	physics	NOUN
ejpam-4420	430	4	,	,	PUNCT
ejpam-4420	430	5	21:103747	21:103747	NUM
ejpam-4420	430	6	,	,	PUNCT
ejpam-4420	430	7	2021	2021	NUM
ejpam-4420	430	8	.	.	PUNCT
ejpam-4420	431	1	[	[	X
ejpam-4420	431	2	25	25	NUM
ejpam-4420	431	3	]	]	PUNCT
ejpam-4420	431	4	tn	tn	PROPN
ejpam-4420	431	5	sindhu	sindhu	PROPN
ejpam-4420	431	6	,	,	PUNCT
ejpam-4420	431	7	m	m	VERB
ejpam-4420	431	8	saleem	saleem	ADJ
ejpam-4420	431	9	,	,	PUNCT
ejpam-4420	431	10	and	and	CCONJ
ejpam-4420	431	11	m	m	PROPN
ejpam-4420	431	12	aslam	aslam	PROPN
ejpam-4420	431	13	.	.	PUNCT
ejpam-4420	432	1	bayesian	bayesian	NOUN
ejpam-4420	432	2	estimation	estimation	NOUN
ejpam-4420	432	3	for	for	ADP
ejpam-4420	432	4	topp	topp	NOUN
ejpam-4420	432	5	leone	leone	NOUN
ejpam-4420	432	6	distribution	distribution	NOUN
ejpam-4420	432	7	under	under	ADP
ejpam-4420	432	8	trimmed	trim	VERB
ejpam-4420	432	9	samples	sample	NOUN
ejpam-4420	432	10	.	.	PUNCT
ejpam-4420	433	1	journal	journal	NOUN
ejpam-4420	433	2	of	of	ADP
ejpam-4420	433	3	basic	basic	ADJ
ejpam-4420	433	4	and	and	CCONJ
ejpam-4420	433	5	applied	apply	VERB
ejpam-4420	433	6	scientific	scientific	ADJ
ejpam-4420	433	7	research	research	NOUN
ejpam-4420	433	8	,	,	PUNCT
ejpam-4420	433	9	3(10):347	3(10):347	NUM
ejpam-4420	433	10	–	–	PUNCT
ejpam-4420	433	11	360	360	NUM
ejpam-4420	433	12	,	,	PUNCT
ejpam-4420	433	13	2013	2013	NUM
ejpam-4420	433	14	.	.	PUNCT
ejpam-4420	434	1	appendix	appendix	VERB
ejpam-4420	434	2	1299	1299	NUM
ejpam-4420	434	3	appendix	appendix	VERB
ejpam-4420	434	4	the	the	DET
ejpam-4420	434	5	structure	structure	NOUN
ejpam-4420	434	6	of	of	ADP
ejpam-4420	434	7	genetic	genetic	ADJ
ejpam-4420	434	8	algorithm	algorithm	NOUN
ejpam-4420	434	9	is	be	AUX
ejpam-4420	434	10	presented	present	VERB
ejpam-4420	434	11	,	,	PUNCT
ejpam-4420	434	12	where	where	SCONJ
ejpam-4420	434	13	the	the	DET
ejpam-4420	434	14	notation	notation	NOUN
ejpam-4420	434	15	is	be	AUX
ejpam-4420	434	16	used	use	VERB
ejpam-4420	434	17	:	:	PUNCT
ejpam-4420	434	18	nc	nc	PROPN
ejpam-4420	434	19	is	be	AUX
ejpam-4420	434	20	the	the	DET
ejpam-4420	434	21	number	number	NOUN
ejpam-4420	434	22	of	of	ADP
ejpam-4420	434	23	generation	generation	NOUN
ejpam-4420	434	24	,	,	PUNCT
ejpam-4420	434	25	np	np	INTJ
ejpam-4420	434	26	is	be	AUX
ejpam-4420	434	27	the	the	DET
ejpam-4420	434	28	number	number	NOUN
ejpam-4420	434	29	of	of	ADP
ejpam-4420	434	30	population	population	NOUN
ejpam-4420	434	31	,	,	PUNCT
ejpam-4420	434	32	mr	mr	PROPN
ejpam-4420	434	33	is	be	AUX
ejpam-4420	434	34	the	the	DET
ejpam-4420	434	35	mutation	mutation	NOUN
ejpam-4420	434	36	rate	rate	NOUN
ejpam-4420	434	37	,	,	PUNCT
ejpam-4420	434	38	cr	cr	PROPN
ejpam-4420	434	39	is	be	AUX
ejpam-4420	434	40	crossover	crossover	NOUN
ejpam-4420	434	41	rate	rate	NOUN
ejpam-4420	434	42	,	,	PUNCT
ejpam-4420	434	43	gen	gen	PROPN
ejpam-4420	434	44	is	be	AUX
ejpam-4420	434	45	a	a	DET
ejpam-4420	434	46	number	number	NOUN
ejpam-4420	434	47	of	of	ADP
ejpam-4420	434	48	the	the	DET
ejpam-4420	434	49	population	population	NOUN
ejpam-4420	434	50	,	,	PUNCT
ejpam-4420	435	1	[	[	X
ejpam-4420	435	2	a	a	X
ejpam-4420	435	3	(	(	PUNCT
ejpam-4420	435	4	i	i	NOUN
ejpam-4420	435	5	)	)	PUNCT
ejpam-4420	435	6	k	k	PROPN
ejpam-4420	435	7	,	,	PUNCT
ejpam-4420	435	8	b	b	PROPN
ejpam-4420	435	9	(	(	PUNCT
ejpam-4420	435	10	i	i	NOUN
ejpam-4420	435	11	)	)	PUNCT
ejpam-4420	436	1	k	k	X
ejpam-4420	436	2	]	]	PUNCT
ejpam-4420	436	3	is	be	AUX
ejpam-4420	436	4	the	the	DET
ejpam-4420	436	5	i	i	PROPN
ejpam-4420	436	6	current	current	ADJ
ejpam-4420	436	7	chromosomes	chromosome	NOUN
ejpam-4420	436	8	and	and	CCONJ
ejpam-4420	436	9	k	k	PROPN
ejpam-4420	436	10	is	be	AUX
ejpam-4420	436	11	the	the	DET
ejpam-4420	436	12	current	current	ADJ
ejpam-4420	436	13	generation	generation	NOUN
ejpam-4420	436	14	,	,	PUNCT
ejpam-4420	436	15	f(x	f(x	PROPN
ejpam-4420	436	16	)	)	PUNCT
ejpam-4420	436	17	is	be	AUX
ejpam-4420	436	18	the	the	DET
ejpam-4420	436	19	objective	objective	ADJ
ejpam-4420	436	20	function	function	NOUN
ejpam-4420	436	21	,	,	PUNCT
ejpam-4420	436	22	s∗	s∗	PROPN
ejpam-4420	436	23	is	be	AUX
ejpam-4420	436	24	the	the	DET
ejpam-4420	436	25	best	good	ADJ
ejpam-4420	436	26	chromosomes	chromosome	NOUN
ejpam-4420	436	27	,	,	PUNCT
ejpam-4420	436	28	pn(m	pn(m	NOUN
ejpam-4420	436	29	,	,	PUNCT
ejpam-4420	436	30	:)	:)	INTJ
ejpam-4420	436	31	is	be	AUX
ejpam-4420	436	32	the	the	DET
ejpam-4420	436	33	mth	mth	NOUN
ejpam-4420	436	34	row	row	NOUN
ejpam-4420	436	35	of	of	ADP
ejpam-4420	436	36	matrix	matrix	NOUN
ejpam-4420	437	1	pn	pn	NOUN
ejpam-4420	437	2	initial	initial	ADJ
ejpam-4420	437	3	the	the	DET
ejpam-4420	437	4	parameter	parameter	NOUN
ejpam-4420	437	5	(	(	PUNCT
ejpam-4420	437	6	nc	nc	PROPN
ejpam-4420	437	7	,	,	PUNCT
ejpam-4420	437	8	np	np	INTJ
ejpam-4420	437	9	,	,	PUNCT
ejpam-4420	437	10	mr	mr	PROPN
ejpam-4420	437	11	,	,	PUNCT
ejpam-4420	437	12	cr	cr	PROPN
ejpam-4420	437	13	,	,	PUNCT
ejpam-4420	437	14	gen	gen	PROPN
ejpam-4420	437	15	)	)	PUNCT
ejpam-4420	437	16	and	and	CCONJ
ejpam-4420	437	17	set	set	VERB
ejpam-4420	437	18	k	k	PROPN
ejpam-4420	437	19	=	=	SYM
ejpam-4420	437	20	1	1	NUM
ejpam-4420	437	21	;	;	PUNCT
ejpam-4420	437	22	while	while	SCONJ
ejpam-4420	437	23	k	k	PROPN
ejpam-4420	437	24	≤	≤	PROPN
ejpam-4420	437	25	gen	gen	PROPN
ejpam-4420	437	26	do	do	AUX
ejpam-4420	437	27	:	:	PUNCT
ejpam-4420	437	28	generate	generate	VERB
ejpam-4420	437	29	a	a	DET
ejpam-4420	437	30	random	random	ADJ
ejpam-4420	437	31	number	number	NOUN
ejpam-4420	437	32	of	of	ADP
ejpam-4420	437	33	chromosomes	chromosome	NOUN
ejpam-4420	437	34	x	x	SYM
ejpam-4420	437	35	(	(	PUNCT
ejpam-4420	437	36	i	i	NOUN
ejpam-4420	437	37	)	)	PUNCT
ejpam-4420	437	38	k	k	PROPN
ejpam-4420	438	1	=	=	PUNCT
ejpam-4420	438	2	[	[	PUNCT
ejpam-4420	438	3	a	a	X
ejpam-4420	438	4	(	(	PUNCT
ejpam-4420	438	5	i	i	NOUN
ejpam-4420	438	6	)	)	PUNCT
ejpam-4420	438	7	k	k	PROPN
ejpam-4420	438	8	b	b	PROPN
ejpam-4420	438	9	(	(	PUNCT
ejpam-4420	438	10	i	i	NOUN
ejpam-4420	438	11	)	)	PUNCT
ejpam-4420	439	1	k	k	PROPN
ejpam-4420	439	2	f(a	f(a	PROPN
ejpam-4420	439	3	(	(	PUNCT
ejpam-4420	439	4	i	i	NOUN
ejpam-4420	439	5	)	)	PUNCT
ejpam-4420	439	6	k	k	PROPN
ejpam-4420	439	7	,	,	PUNCT
ejpam-4420	439	8	b	b	PROPN
ejpam-4420	439	9	(	(	PUNCT
ejpam-4420	439	10	i	i	NOUN
ejpam-4420	439	11	)	)	PUNCT
ejpam-4420	439	12	k	k	PROPN
ejpam-4420	439	13	)	)	PUNCT
ejpam-4420	439	14	]	]	PUNCT
ejpam-4420	439	15	and	and	CCONJ
ejpam-4420	439	16	calculate	calculate	VERB
ejpam-4420	439	17	f(x	f(x	PROPN
ejpam-4420	439	18	(	(	PUNCT
ejpam-4420	439	19	i	i	NOUN
ejpam-4420	439	20	)	)	PUNCT
ejpam-4420	439	21	k	k	PROPN
ejpam-4420	439	22	)	)	PUNCT
ejpam-4420	439	23	for	for	ADP
ejpam-4420	439	24	each	each	DET
ejpam-4420	439	25	i	i	NOUN
ejpam-4420	439	26	=	=	NOUN
ejpam-4420	439	27	1	1	NUM
ejpam-4420	439	28	,	,	PUNCT
ejpam-4420	439	29	2	2	NUM
ejpam-4420	439	30	,	,	PUNCT
ejpam-4420	439	31	.	.	PUNCT
ejpam-4420	439	32	.	.	PUNCT
ejpam-4420	439	33	.	.	PUNCT
ejpam-4420	440	1	,	,	PUNCT
ejpam-4420	440	2	np	np	INTJ
ejpam-4420	440	3	and	and	CCONJ
ejpam-4420	440	4	defined	define	VERB
ejpam-4420	440	5	pk	pk	NOUN
ejpam-4420	440	6	at	at	ADP
ejpam-4420	440	7	k	k	PROPN
ejpam-4420	440	8	iteration	iteration	NOUN
ejpam-4420	440	9	as	as	SCONJ
ejpam-4420	440	10	follows	follow	VERB
ejpam-4420	440	11	:	:	PUNCT
ejpam-4420	441	1	pk	pk	NOUN
ejpam-4420	441	2	=	=	X
ejpam-4420	441	3	[	[	PUNCT
ejpam-4420	441	4	x	x	X
ejpam-4420	441	5	(	(	PUNCT
ejpam-4420	441	6	1	1	NUM
ejpam-4420	441	7	)	)	PUNCT
ejpam-4420	441	8	k	k	NOUN
ejpam-4420	441	9	x	x	X
ejpam-4420	441	10	(	(	PUNCT
ejpam-4420	441	11	2	2	NUM
ejpam-4420	441	12	)	)	PUNCT
ejpam-4420	441	13	k	k	NOUN
ejpam-4420	441	14	.	.	PUNCT
ejpam-4420	441	15	.	.	PUNCT
ejpam-4420	441	16	.	.	PUNCT
ejpam-4420	442	1	x	x	PUNCT
ejpam-4420	442	2	(	(	PUNCT
ejpam-4420	442	3	i	i	NOUN
ejpam-4420	442	4	)	)	PUNCT
ejpam-4420	442	5	k	k	PROPN
ejpam-4420	443	1	x	x	X
ejpam-4420	443	2	(	(	PUNCT
ejpam-4420	443	3	np	np	INTJ
ejpam-4420	443	4	)	)	PUNCT
ejpam-4420	443	5	k	k	NOUN
ejpam-4420	444	1	]	]	X
ejpam-4420	444	2	′	′	NUM
ejpam-4420	444	3	np×3	np×3	ADJ
ejpam-4420	444	4	calculate	calculate	NOUN
ejpam-4420	444	5	i∗	i∗	NOUN
ejpam-4420	444	6	=	=	PUNCT
ejpam-4420	444	7	argimin{f(a(i)k	argimin{f(a(i)k	X
ejpam-4420	444	8	,	,	PUNCT
ejpam-4420	444	9	b	b	X
ejpam-4420	444	10	(	(	PUNCT
ejpam-4420	444	11	i	i	NOUN
ejpam-4420	444	12	)	)	PUNCT
ejpam-4420	444	13	k	k	PROPN
ejpam-4420	444	14	)	)	PUNCT
ejpam-4420	444	15	}	}	PUNCT
ejpam-4420	444	16	.	.	PUNCT
ejpam-4420	445	1	set	set	VERB
ejpam-4420	445	2	g∗	g∗	PROPN
ejpam-4420	445	3	=	=	SYM
ejpam-4420	445	4	f(a	f(a	PROPN
ejpam-4420	445	5	(	(	PUNCT
ejpam-4420	445	6	i∗	i∗	NOUN
ejpam-4420	445	7	)	)	PUNCT
ejpam-4420	446	1	k	k	PROPN
ejpam-4420	446	2	,	,	PUNCT
ejpam-4420	446	3	b	b	PROPN
ejpam-4420	446	4	(	(	PUNCT
ejpam-4420	446	5	i∗	i∗	NOUN
ejpam-4420	446	6	)	)	PUNCT
ejpam-4420	446	7	k	k	NOUN
ejpam-4420	446	8	)	)	PUNCT
ejpam-4420	446	9	and	and	CCONJ
ejpam-4420	446	10	p	p	NOUN
ejpam-4420	446	11	∗	∗	NOUN
ejpam-4420	446	12	=	=	PUNCT
ejpam-4420	446	13	[	[	PUNCT
ejpam-4420	446	14	a	a	DET
ejpam-4420	446	15	(	(	PUNCT
ejpam-4420	446	16	i∗	i∗	NOUN
ejpam-4420	446	17	)	)	PUNCT
ejpam-4420	447	1	k	k	PROPN
ejpam-4420	447	2	b	b	PROPN
ejpam-4420	447	3	(	(	PUNCT
ejpam-4420	447	4	i∗	i∗	NOUN
ejpam-4420	447	5	)	)	PUNCT
ejpam-4420	447	6	k	k	PROPN
ejpam-4420	447	7	f(a	f(a	PROPN
ejpam-4420	447	8	(	(	PUNCT
ejpam-4420	447	9	i∗	i∗	NOUN
ejpam-4420	447	10	)	)	PUNCT
ejpam-4420	447	11	k	k	PROPN
ejpam-4420	447	12	,	,	PUNCT
ejpam-4420	447	13	b	b	PROPN
ejpam-4420	447	14	(	(	PUNCT
ejpam-4420	447	15	i∗	i∗	NOUN
ejpam-4420	447	16	)	)	PUNCT
ejpam-4420	447	17	k	k	NOUN
ejpam-4420	447	18	)	)	PUNCT
ejpam-4420	447	19	]	]	PUNCT
ejpam-4420	447	20	.	.	PUNCT
ejpam-4420	448	1	calculate	calculate	VERB
ejpam-4420	448	2	the	the	DET
ejpam-4420	448	3	fitness	fitness	NOUN
ejpam-4420	448	4	value	value	NOUN
ejpam-4420	448	5	f	f	PROPN
ejpam-4420	448	6	(	(	PUNCT
ejpam-4420	448	7	i	i	NOUN
ejpam-4420	448	8	)	)	PUNCT
ejpam-4420	449	1	=	=	PUNCT
ejpam-4420	449	2	1	1	NUM
ejpam-4420	449	3	i	i	PRON
ejpam-4420	449	4	for	for	ADP
ejpam-4420	449	5	each	each	DET
ejpam-4420	449	6	population	population	NOUN
ejpam-4420	450	1	i	i	NOUN
ejpam-4420	450	2	=	=	NOUN
ejpam-4420	450	3	1	1	NUM
ejpam-4420	450	4	,	,	PUNCT
ejpam-4420	450	5	2	2	NUM
ejpam-4420	450	6	,	,	PUNCT
ejpam-4420	450	7	.	.	PUNCT
ejpam-4420	450	8	.	.	PUNCT
ejpam-4420	450	9	.	.	PUNCT
ejpam-4420	451	1	,	,	PUNCT
ejpam-4420	451	2	np	np	INTJ
ejpam-4420	451	3	.	.	PROPN
ejpam-4420	451	4	calculate	calculate	VERB
ejpam-4420	451	5	the	the	DET
ejpam-4420	451	6	roulette	roulette	NOUN
ejpam-4420	451	7	wheel	wheel	NOUN
ejpam-4420	451	8	selection	selection	NOUN
ejpam-4420	451	9	pi	pi	NOUN
ejpam-4420	451	10	=	=	SYM
ejpam-4420	451	11	f	f	PROPN
ejpam-4420	451	12	(	(	PUNCT
ejpam-4420	451	13	i)∑np	i)∑np	PROPN
ejpam-4420	451	14	j=1	j=1	PROPN
ejpam-4420	451	15	f	f	PROPN
ejpam-4420	451	16	(	(	PUNCT
ejpam-4420	451	17	j	j	PROPN
ejpam-4420	451	18	)	)	PUNCT
ejpam-4420	451	19	for	for	ADP
ejpam-4420	451	20	i	i	PROPN
ejpam-4420	451	21	=	=	NOUN
ejpam-4420	451	22	1	1	NUM
ejpam-4420	451	23	,	,	PUNCT
ejpam-4420	451	24	2	2	NUM
ejpam-4420	451	25	,	,	PUNCT
ejpam-4420	451	26	.	.	PUNCT
ejpam-4420	451	27	.	.	PUNCT
ejpam-4420	452	1	.	.	PUNCT
ejpam-4420	453	1	,	,	PUNCT
ejpam-4420	453	2	np	np	INTJ
ejpam-4420	453	3	.	.	PUNCT
ejpam-4420	454	1	if	if	SCONJ
ejpam-4420	454	2	(	(	PUNCT
ejpam-4420	454	3	f(a	f(a	NOUN
ejpam-4420	454	4	(	(	PUNCT
ejpam-4420	454	5	i∗	i∗	NOUN
ejpam-4420	454	6	)	)	PUNCT
ejpam-4420	454	7	k	k	PROPN
ejpam-4420	454	8	,	,	PUNCT
ejpam-4420	454	9	b	b	PROPN
ejpam-4420	454	10	(	(	PUNCT
ejpam-4420	454	11	i∗	i∗	NOUN
ejpam-4420	454	12	)	)	PUNCT
ejpam-4420	454	13	k	k	NOUN
ejpam-4420	454	14	)	)	PUNCT
ejpam-4420	454	15	<	<	X
ejpam-4420	454	16	g∗	g∗	PROPN
ejpam-4420	454	17	)	)	PUNCT
ejpam-4420	454	18	g∗	g∗	PROPN
ejpam-4420	454	19	=	=	SYM
ejpam-4420	454	20	f(a	f(a	PROPN
ejpam-4420	454	21	(	(	PUNCT
ejpam-4420	454	22	k	k	NOUN
ejpam-4420	454	23	)	)	PUNCT
ejpam-4420	454	24	n	n	PROPN
ejpam-4420	454	25	,	,	PUNCT
ejpam-4420	454	26	b	b	PROPN
ejpam-4420	454	27	(	(	PUNCT
ejpam-4420	454	28	k	k	NOUN
ejpam-4420	454	29	)	)	PUNCT
ejpam-4420	454	30	n	n	CCONJ
ejpam-4420	454	31	)	)	PUNCT
ejpam-4420	454	32	;	;	PUNCT
ejpam-4420	455	1	k	k	PROPN
ejpam-4420	455	2	=	=	PUNCT
ejpam-4420	456	1	k	k	PROPN
ejpam-4420	457	1	+	+	PROPN
ejpam-4420	457	2	1	1	NUM
ejpam-4420	457	3	;	;	PUNCT
ejpam-4420	457	4	end	end	VERB
ejpam-4420	457	5	while	while	SCONJ
ejpam-4420	457	6	j	j	PROPN
ejpam-4420	457	7	≤	≤	NUM
ejpam-4420	457	8	np/2	np/2	NOUN
ejpam-4420	457	9	%	%	NOUN
ejpam-4420	457	10	selection	selection	NOUN
ejpam-4420	457	11	for	for	ADP
ejpam-4420	457	12	l	l	NOUN
ejpam-4420	457	13	=	=	SYM
ejpam-4420	457	14	1	1	NUM
ejpam-4420	457	15	:	:	SYM
ejpam-4420	457	16	2	2	NUM
ejpam-4420	457	17	generate	generate	VERB
ejpam-4420	457	18	a	a	DET
ejpam-4420	457	19	random	random	ADJ
ejpam-4420	457	20	number	number	NOUN
ejpam-4420	457	21	,	,	PUNCT
ejpam-4420	457	22	ul	ul	INTJ
ejpam-4420	457	23	∈	∈	PROPN
ejpam-4420	457	24	(	(	PUNCT
ejpam-4420	457	25	0	0	NUM
ejpam-4420	457	26	,	,	PUNCT
ejpam-4420	457	27	1	1	NUM
ejpam-4420	457	28	)	)	PUNCT
ejpam-4420	457	29	.	.	PUNCT
ejpam-4420	458	1	if	if	SCONJ
ejpam-4420	458	2	(	(	PUNCT
ejpam-4420	458	3	∑m	∑m	PROPN
ejpam-4420	458	4	i=1	i=1	PROPN
ejpam-4420	458	5	pi	pi	NOUN
ejpam-4420	458	6	<	<	X
ejpam-4420	458	7	ul	ul	INTJ
ejpam-4420	458	8	<	<	X
ejpam-4420	458	9	∑m+1	∑m+1	PROPN
ejpam-4420	458	10	i=1	i=1	PROPN
ejpam-4420	458	11	pi	pi	NOUN
ejpam-4420	458	12	)	)	PUNCT
ejpam-4420	458	13	for	for	ADP
ejpam-4420	458	14	m	m	PROPN
ejpam-4420	458	15	=	=	SYM
ejpam-4420	458	16	1	1	NUM
ejpam-4420	458	17	,	,	PUNCT
ejpam-4420	458	18	2	2	NUM
ejpam-4420	458	19	,	,	PUNCT
ejpam-4420	458	20	.	.	PUNCT
ejpam-4420	458	21	.	.	PUNCT
ejpam-4420	459	1	.	.	PUNCT
ejpam-4420	460	1	,	,	PUNCT
ejpam-4420	460	2	np	np	INTJ
ejpam-4420	460	3	parent(l	parent(l	PROPN
ejpam-4420	460	4	,	,	PUNCT
ejpam-4420	460	5	:)	:)	NOUN
ejpam-4420	460	6	=	=	SYM
ejpam-4420	461	1	pk(m	pk(m	NOUN
ejpam-4420	461	2	,	,	PUNCT
ejpam-4420	461	3	:)	:)	INTJ
ejpam-4420	461	4	end	end	VERB
ejpam-4420	461	5	end	end	NOUN
ejpam-4420	461	6	%	%	INTJ
ejpam-4420	461	7	crossover	crossover	ADP
ejpam-4420	461	8	offspring(1	offspring(1	PROPN
ejpam-4420	461	9	,	,	PUNCT
ejpam-4420	461	10	:)	:)	PUNCT
ejpam-4420	462	1	=	=	PUNCT
ejpam-4420	463	1	[	[	X
ejpam-4420	463	2	parent(1	parent(1	NOUN
ejpam-4420	463	3	,	,	PUNCT
ejpam-4420	463	4	1	1	NUM
ejpam-4420	463	5	)	)	PUNCT
ejpam-4420	463	6	parent(2	parent(2	NOUN
ejpam-4420	463	7	,	,	PUNCT
ejpam-4420	463	8	2	2	NUM
ejpam-4420	463	9	)	)	PUNCT
ejpam-4420	463	10	]	]	PUNCT
ejpam-4420	463	11	offspring(2	offspring(2	PROPN
ejpam-4420	463	12	,	,	PUNCT
ejpam-4420	463	13	:)	:)	PUNCT
ejpam-4420	463	14	=	=	PUNCT
ejpam-4420	464	1	[	[	X
ejpam-4420	464	2	parent(2	parent(2	NOUN
ejpam-4420	464	3	,	,	PUNCT
ejpam-4420	464	4	1	1	NUM
ejpam-4420	464	5	)	)	PUNCT
ejpam-4420	464	6	parent(1	parent(1	NOUN
ejpam-4420	464	7	,	,	PUNCT
ejpam-4420	464	8	2	2	NUM
ejpam-4420	464	9	)	)	PUNCT
ejpam-4420	464	10	]	]	PUNCT
ejpam-4420	464	11	end	end	VERB
ejpam-4420	464	12	pk+1(2j	pk+1(2j	PRON
ejpam-4420	464	13	−	−	PROPN
ejpam-4420	464	14	1	1	NUM
ejpam-4420	464	15	,	,	PUNCT
ejpam-4420	464	16	:)	:)	PUNCT
ejpam-4420	464	17	=	=	PUNCT
ejpam-4420	465	1	[	[	X
ejpam-4420	465	2	offspring(1	offspring(1	PROPN
ejpam-4420	465	3	,	,	PUNCT
ejpam-4420	465	4	:)	:)	NOUN
ejpam-4420	465	5	f(offspring(1	f(offspring(1	NOUN
ejpam-4420	465	6	,	,	PUNCT
ejpam-4420	465	7	:))	:))	PROPN
ejpam-4420	465	8	]	]	X
ejpam-4420	465	9	pk+1(2j	pk+1(2j	X
ejpam-4420	465	10	,	,	PUNCT
ejpam-4420	465	11	:)	:)	PUNCT
ejpam-4420	465	12	=	=	PUNCT
ejpam-4420	466	1	[	[	X
ejpam-4420	466	2	offspring(2	offspring(2	NOUN
ejpam-4420	466	3	,	,	PUNCT
ejpam-4420	466	4	:)	:)	NOUN
ejpam-4420	466	5	f(offspring(2	f(offspring(2	NOUN
ejpam-4420	467	1	:))	:))	PROPN
ejpam-4420	467	2	]	]	PUNCT
ejpam-4420	467	3	%	%	NOUN
ejpam-4420	467	4	mutation	mutation	NOUN
ejpam-4420	467	5	appendix	appendix	VERB
ejpam-4420	467	6	1300	1300	NUM
ejpam-4420	467	7	while	while	SCONJ
ejpam-4420	467	8	i	i	PRON
ejpam-4420	467	9	≤	≤	PUNCT
ejpam-4420	467	10	np	np	INTJ
ejpam-4420	467	11	do	do	AUX
ejpam-4420	467	12	:	:	PUNCT
ejpam-4420	467	13	perform	perform	VERB
ejpam-4420	467	14	mutation	mutation	NOUN
ejpam-4420	467	15	operation	operation	NOUN
ejpam-4420	467	16	on	on	ADP
ejpam-4420	467	17	pk+1	pk+1	NOUN
ejpam-4420	467	18	with	with	ADP
ejpam-4420	467	19	mr	mr	PROPN
ejpam-4420	467	20	.	.	PROPN
ejpam-4420	467	21	replaced	replace	VERB
ejpam-4420	467	22	the	the	DET
ejpam-4420	467	23	bad	bad	ADJ
ejpam-4420	467	24	population	population	NOUN
ejpam-4420	467	25	with	with	ADP
ejpam-4420	467	26	the	the	DET
ejpam-4420	467	27	best	good	ADJ
ejpam-4420	467	28	population	population	NOUN
ejpam-4420	467	29	x	x	INTJ
ejpam-4420	467	30	(	(	PUNCT
ejpam-4420	467	31	i∗	i∗	NOUN
ejpam-4420	467	32	)	)	PUNCT
ejpam-4420	467	33	k	k	NOUN
ejpam-4420	467	34	in	in	ADP
ejpam-4420	467	35	pk+1	pk+1	PROPN
ejpam-4420	467	36	.	.	PROPN
ejpam-4420	467	37	end	end	NOUN
ejpam-4420	467	38	end	end	NOUN