id	sid	tid	token	lemma	pos
iajs-2558	1	1	ibn	ibn	PROPN
iajs-2558	1	2	al	al	PROPN
iajs-2558	1	3	-	-	PUNCT
iajs-2558	1	4	haitham	haitham	PROPN
iajs-2558	1	5	jour	jour	X
iajs-2558	1	6	.	.	PROPN
iajs-2558	1	7	for	for	ADP
iajs-2558	1	8	pure	pure	ADJ
iajs-2558	1	9	&	&	CCONJ
iajs-2558	1	10	appl	appl	PROPN
iajs-2558	1	11	.	.	PUNCT
iajs-2558	2	1	sci	sci	PROPN
iajs-2558	2	2	.	.	PROPN
iajs-2558	3	1	34	34	NUM
iajs-2558	3	2	(	(	PUNCT
iajs-2558	3	3	1	1	NUM
iajs-2558	3	4	)	)	PUNCT
iajs-2558	3	5	2021	2021	NUM
iajs-2558	3	6	85	85	NUM
iajs-2558	3	7	estimate	estimate	NOUN
iajs-2558	3	8	for	for	ADP
iajs-2558	3	9	survival	survival	NOUN
iajs-2558	3	10	and	and	CCONJ
iajs-2558	3	11	related	related	ADJ
iajs-2558	3	12	functions	function	NOUN
iajs-2558	3	13	of	of	ADP
iajs-2558	3	14	weighted	weight	VERB
iajs-2558	3	15	rayleigh	rayleigh	NOUN
iajs-2558	3	16	distribution	distribution	NOUN
iajs-2558	3	17	.	.	PUNCT
iajs-2558	4	1	abstract	abstract	ADJ
iajs-2558	4	2	in	in	ADP
iajs-2558	4	3	this	this	DET
iajs-2558	4	4	paper	paper	NOUN
iajs-2558	4	5	,	,	PUNCT
iajs-2558	4	6	we	we	PRON
iajs-2558	4	7	introduce	introduce	VERB
iajs-2558	4	8	a	a	DET
iajs-2558	4	9	new	new	ADJ
iajs-2558	4	10	class	class	NOUN
iajs-2558	4	11	of	of	ADP
iajs-2558	4	12	weighted	weight	VERB
iajs-2558	4	13	rayleigh	rayleigh	NOUN
iajs-2558	4	14	distribution	distribution	NOUN
iajs-2558	4	15	based	base	VERB
iajs-2558	4	16	on	on	ADP
iajs-2558	4	17	two	two	NUM
iajs-2558	4	18	parameters	parameter	NOUN
iajs-2558	4	19	,	,	PUNCT
iajs-2558	4	20	one	one	NUM
iajs-2558	4	21	is	be	AUX
iajs-2558	4	22	the	the	DET
iajs-2558	4	23	scale	scale	NOUN
iajs-2558	4	24	parameter	parameter	NOUN
iajs-2558	4	25	and	and	CCONJ
iajs-2558	4	26	the	the	DET
iajs-2558	4	27	other	other	ADJ
iajs-2558	4	28	is	be	AUX
iajs-2558	4	29	the	the	DET
iajs-2558	4	30	shape	shape	NOUN
iajs-2558	4	31	parameter	parameter	NOUN
iajs-2558	4	32	introduced	introduce	VERB
iajs-2558	4	33	in	in	ADP
iajs-2558	4	34	rayleigh	rayleigh	PROPN
iajs-2558	4	35	distribution	distribution	NOUN
iajs-2558	4	36	.	.	PUNCT
iajs-2558	5	1	the	the	DET
iajs-2558	5	2	main	main	ADJ
iajs-2558	5	3	properties	property	NOUN
iajs-2558	5	4	of	of	ADP
iajs-2558	5	5	this	this	DET
iajs-2558	5	6	class	class	NOUN
iajs-2558	5	7	are	be	AUX
iajs-2558	5	8	derived	derive	VERB
iajs-2558	5	9	and	and	CCONJ
iajs-2558	5	10	investigated[13	investigated[13	NOUN
iajs-2558	5	11	]	]	PUNCT
iajs-2558	5	12	.	.	PUNCT
iajs-2558	6	1	the	the	DET
iajs-2558	6	2	moment	moment	NOUN
iajs-2558	6	3	method	method	NOUN
iajs-2558	6	4	and	and	CCONJ
iajs-2558	6	5	least	least	ADJ
iajs-2558	6	6	square	square	ADJ
iajs-2558	6	7	method	method	NOUN
iajs-2558	6	8	are	be	AUX
iajs-2558	6	9	used	use	VERB
iajs-2558	6	10	to	to	PART
iajs-2558	6	11	obtain	obtain	VERB
iajs-2558	6	12	estimators	estimator	NOUN
iajs-2558	6	13	of	of	ADP
iajs-2558	6	14	parameters	parameter	NOUN
iajs-2558	6	15	of	of	ADP
iajs-2558	6	16	this	this	DET
iajs-2558	6	17	distribution	distribution	NOUN
iajs-2558	6	18	.	.	PUNCT
iajs-2558	7	1	the	the	DET
iajs-2558	7	2	probability	probability	NOUN
iajs-2558	7	3	density	density	NOUN
iajs-2558	7	4	function	function	NOUN
iajs-2558	7	5	,	,	PUNCT
iajs-2558	7	6	survival	survival	NOUN
iajs-2558	7	7	function	function	NOUN
iajs-2558	7	8	,	,	PUNCT
iajs-2558	7	9	cumulative	cumulative	ADJ
iajs-2558	7	10	distribution	distribution	NOUN
iajs-2558	7	11	and	and	CCONJ
iajs-2558	7	12	hazard	hazard	NOUN
iajs-2558	7	13	function	function	NOUN
iajs-2558	7	14	are	be	AUX
iajs-2558	7	15	derived	derive	VERB
iajs-2558	7	16	and	and	CCONJ
iajs-2558	7	17	found	find	VERB
iajs-2558	7	18	.	.	PUNCT
iajs-2558	8	1	real	real	ADJ
iajs-2558	8	2	data	datum	NOUN
iajs-2558	8	3	sets	set	NOUN
iajs-2558	8	4	are	be	AUX
iajs-2558	8	5	collected	collect	VERB
iajs-2558	8	6	to	to	PART
iajs-2558	8	7	investigate	investigate	VERB
iajs-2558	8	8	two	two	NUM
iajs-2558	8	9	methods	method	NOUN
iajs-2558	8	10	that	that	PRON
iajs-2558	8	11	depend	depend	VERB
iajs-2558	8	12	on	on	ADP
iajs-2558	8	13	in	in	ADP
iajs-2558	8	14	this	this	DET
iajs-2558	8	15	study	study	NOUN
iajs-2558	8	16	.	.	PUNCT
iajs-2558	9	1	a	a	DET
iajs-2558	9	2	comparison	comparison	NOUN
iajs-2558	9	3	is	be	AUX
iajs-2558	9	4	made	make	VERB
iajs-2558	9	5	between	between	ADP
iajs-2558	9	6	two	two	NUM
iajs-2558	9	7	methods	method	NOUN
iajs-2558	9	8	of	of	ADP
iajs-2558	9	9	estimation	estimation	NOUN
iajs-2558	9	10	and	and	CCONJ
iajs-2558	9	11	clarifies	clarifie	NOUN
iajs-2558	9	12	that	that	SCONJ
iajs-2558	9	13	mle	mle	PROPN
iajs-2558	9	14	method	method	NOUN
iajs-2558	9	15	is	be	AUX
iajs-2558	9	16	better	well	ADJ
iajs-2558	9	17	than	than	ADP
iajs-2558	9	18	the	the	DET
iajs-2558	9	19	ols	ol	NOUN
iajs-2558	9	20	method	method	NOUN
iajs-2558	9	21	by	by	ADP
iajs-2558	9	22	using	use	VERB
iajs-2558	9	23	the	the	DET
iajs-2558	9	24	mean	mean	ADJ
iajs-2558	9	25	squares	square	NOUN
iajs-2558	9	26	error	error	NOUN
iajs-2558	9	27	.	.	PUNCT
iajs-2558	10	1	keyword	keyword	NOUN
iajs-2558	10	2	:	:	PUNCT
iajs-2558	10	3	weighted	weight	VERB
iajs-2558	10	4	rayleigh	rayleigh	NOUN
iajs-2558	10	5	distribution	distribution	NOUN
iajs-2558	10	6	,	,	PUNCT
iajs-2558	10	7	maximum	maximum	ADJ
iajs-2558	10	8	likelihood	likelihood	NOUN
iajs-2558	10	9	method	method	NOUN
iajs-2558	10	10	and	and	CCONJ
iajs-2558	10	11	lest	lest	ADP
iajs-2558	10	12	square	square	ADJ
iajs-2558	10	13	method	method	NOUN
iajs-2558	10	14	.	.	PUNCT
iajs-2558	11	1	1	1	X
iajs-2558	11	2	.	.	X
iajs-2558	11	3	introduction	introduction	NOUN
iajs-2558	11	4	the	the	DET
iajs-2558	11	5	rayleigh	rayleigh	NOUN
iajs-2558	11	6	distribution	distribution	NOUN
iajs-2558	11	7	is	be	AUX
iajs-2558	11	8	one	one	NUM
iajs-2558	11	9	of	of	ADP
iajs-2558	11	10	the	the	DET
iajs-2558	11	11	important	important	ADJ
iajs-2558	11	12	continuous	continuous	ADJ
iajs-2558	11	13	distributions	distribution	NOUN
iajs-2558	11	14	;	;	PUNCT
iajs-2558	11	15	it	it	PRON
iajs-2558	11	16	encounters	encounter	VERB
iajs-2558	11	17	much	much	ADJ
iajs-2558	11	18	attention	attention	NOUN
iajs-2558	11	19	in	in	ADP
iajs-2558	11	20	the	the	DET
iajs-2558	11	21	literature	literature	NOUN
iajs-2558	11	22	in	in	ADP
iajs-2558	11	23	benefit	benefit	NOUN
iajs-2558	11	24	from	from	ADP
iajs-2558	11	25	any	any	DET
iajs-2558	11	26	other	other	ADJ
iajs-2558	11	27	distribution	distribution	NOUN
iajs-2558	11	28	in	in	ADP
iajs-2558	11	29	lifetime	lifetime	NOUN
iajs-2558	11	30	sample	sample	NOUN
iajs-2558	11	31	modeling	modeling	NOUN
iajs-2558	11	32	and	and	CCONJ
iajs-2558	11	33	data	datum	NOUN
iajs-2558	11	34	analysis	analysis	NOUN
iajs-2558	11	35	.	.	PUNCT
iajs-2558	12	1	many	many	ADJ
iajs-2558	12	2	researchers	researcher	NOUN
iajs-2558	12	3	developed	develop	VERB
iajs-2558	12	4	various	various	ADJ
iajs-2558	12	5	generalizations	generalization	NOUN
iajs-2558	12	6	of	of	ADP
iajs-2558	12	7	rayleigh	rayleigh	PROPN
iajs-2558	12	8	probability	probability	PROPN
iajs-2558	12	9	density	density	NOUN
iajs-2558	12	10	function	function	VERB
iajs-2558	12	11	to	to	PART
iajs-2558	12	12	increase	increase	VERB
iajs-2558	12	13	the	the	DET
iajs-2558	12	14	flexibility	flexibility	NOUN
iajs-2558	12	15	in	in	ADP
iajs-2558	12	16	lifetime	lifetime	NOUN
iajs-2558	12	17	sample	sample	NOUN
iajs-2558	12	18	modeling	modeling	NOUN
iajs-2558	12	19	[	[	X
iajs-2558	12	20	1	1	NUM
iajs-2558	12	21	]	]	PUNCT
iajs-2558	12	22	.	.	PUNCT
iajs-2558	13	1	we	we	PRON
iajs-2558	13	2	ibn	ibn	PROPN
iajs-2558	13	3	al	al	PROPN
iajs-2558	13	4	haitham	haitham	PROPN
iajs-2558	13	5	journal	journal	PROPN
iajs-2558	13	6	for	for	ADP
iajs-2558	13	7	pure	pure	ADJ
iajs-2558	13	8	and	and	CCONJ
iajs-2558	13	9	applied	apply	VERB
iajs-2558	13	10	science	science	NOUN
iajs-2558	13	11	journal	journal	PROPN
iajs-2558	13	12	homepage	homepage	NOUN
iajs-2558	13	13	:	:	PUNCT
iajs-2558	13	14	http://jih.uobaghdad.edu.iq/index.php/j/index	http://jih.uobaghdad.edu.iq/index.php/j/index	NOUN
iajs-2558	13	15	doi	doi	NOUN
iajs-2558	13	16	:	:	PUNCT
iajs-2558	13	17	10.30526/34.1.2558	10.30526/34.1.2558	PROPN
iajs-2558	13	18	article	article	NOUN
iajs-2558	13	19	history	history	NOUN
iajs-2558	13	20	:	:	PUNCT
iajs-2558	13	21	received18	received18	PROPN
iajs-2558	13	22	,	,	PUNCT
iajs-2558	13	23	december,2019	december,2019	NOUN
iajs-2558	13	24	,	,	PUNCT
iajs-2558	13	25	accepted29,janury,2020	accepted29,janury,2020	NOUN
iajs-2558	13	26	,	,	PUNCT
iajs-2558	13	27	published	publish	VERB
iajs-2558	13	28	in	in	ADP
iajs-2558	13	29	january	january	PROPN
iajs-2558	13	30	2021	2021	NUM
iajs-2558	13	31	saad	saad	PROPN
iajs-2558	13	32	a.	a.	PROPN
iajs-2558	13	33	zain	zain	PROPN
iajs-2558	13	34	iden	iden	PROPN
iajs-2558	14	1	hassan	hassan	PROPN
iajs-2558	14	2	hussein	hussein	PROPN
iajs-2558	14	3	department	department	PROPN
iajs-2558	14	4	of	of	ADP
iajs-2558	14	5	mathematics	mathematics	PROPN
iajs-2558	14	6	,	,	PUNCT
iajs-2558	14	7	college	college	NOUN
iajs-2558	14	8	of	of	ADP
iajs-2558	14	9	science	science	NOUN
iajs-2558	14	10	for	for	ADP
iajs-2558	14	11	women	woman	NOUN
iajs-2558	14	12	,	,	PUNCT
iajs-2558	14	13	university	university	NOUN
iajs-2558	14	14	of	of	ADP
iajs-2558	14	15	baghdad	baghdad	PROPN
iajs-2558	14	16	,	,	PUNCT
iajs-2558	14	17	baghdad	baghdad	PROPN
iajs-2558	14	18	,	,	PUNCT
iajs-2558	14	19	iraq	iraq	PROPN
iajs-2558	14	20	.	.	PUNCT
iajs-2558	15	1	iden_alkanani@yahoo.com	iden_alkanani@yahoo.com	PROPN
iajs-2558	15	2	department	department	PROPN
iajs-2558	15	3	of	of	ADP
iajs-2558	15	4	mathematics	mathematics	PROPN
iajs-2558	15	5	,	,	PUNCT
iajs-2558	15	6	college	college	NOUN
iajs-2558	15	7	of	of	ADP
iajs-2558	15	8	education	education	NOUN
iajs-2558	15	9	for	for	ADP
iajs-2558	15	10	pure	pure	ADJ
iajs-2558	15	11	science	science	NOUN
iajs-2558	15	12	,	,	PUNCT
iajs-2558	15	13	ibn	ibn	PROPN
iajs-2558	15	14	al	al	PROPN
iajs-2558	15	15	haitham	haitham	PROPN
iajs-2558	15	16	,	,	PUNCT
iajs-2558	15	17	university	university	PROPN
iajs-2558	15	18	of	of	ADP
iajs-2558	15	19	baghdad	baghdad	PROPN
iajs-2558	15	20	,	,	PUNCT
iajs-2558	15	21	baghdad	baghdad	PROPN
iajs-2558	15	22	,	,	PUNCT
iajs-2558	15	23	iraq	iraq	PROPN
iajs-2558	15	24	.	.	PUNCT
iajs-2558	16	1	ssadadnan.2019@gmail.com	ssadadnan.2019@gmail.com	X
iajs-2558	16	2	mailto:iden_alkanani@yahoo.com	mailto:iden_alkanani@yahoo.com	X
iajs-2558	17	1	mailto:ssadadnan.2019@gmail.com	mailto:ssadadnan.2019@gmail.com	PROPN
iajs-2558	17	2	86	86	NUM
iajs-2558	17	3	ibn	ibn	PROPN
iajs-2558	17	4	al	al	PROPN
iajs-2558	17	5	-	-	PUNCT
iajs-2558	17	6	haitham	haitham	PROPN
iajs-2558	17	7	jour	jour	X
iajs-2558	17	8	.	.	PROPN
iajs-2558	18	1	for	for	ADP
iajs-2558	18	2	pure	pure	ADJ
iajs-2558	18	3	&	&	CCONJ
iajs-2558	18	4	appl	appl	PROPN
iajs-2558	18	5	.	.	PUNCT
iajs-2558	19	1	sci	sci	PROPN
iajs-2558	19	2	.	.	PROPN
iajs-2558	20	1	34	34	NUM
iajs-2558	20	2	(	(	PUNCT
iajs-2558	20	3	1	1	NUM
iajs-2558	20	4	)	)	PUNCT
iajs-2558	20	5	2021	2021	NUM
iajs-2558	20	6	introduced	introduce	VERB
iajs-2558	20	7	a	a	DET
iajs-2558	20	8	new	new	ADJ
iajs-2558	20	9	class	class	NOUN
iajs-2558	20	10	of	of	ADP
iajs-2558	20	11	density	density	NOUN
iajs-2558	20	12	function	function	NOUN
iajs-2558	20	13	depending	depend	VERB
iajs-2558	20	14	on	on	ADP
iajs-2558	20	15	the	the	DET
iajs-2558	20	16	shape	shape	NOUN
iajs-2558	20	17	parameter	parameter	NOUN
iajs-2558	20	18	in	in	ADP
iajs-2558	20	19	the	the	DET
iajs-2558	20	20	normal	normal	ADJ
iajs-2558	20	21	distribution	distribution	NOUN
iajs-2558	20	22	,	,	PUNCT
iajs-2558	20	23	which	which	PRON
iajs-2558	20	24	is	be	AUX
iajs-2558	20	25	known	know	VERB
iajs-2558	20	26	as	as	ADP
iajs-2558	20	27	weighted	weight	VERB
iajs-2558	20	28	normal	normal	ADJ
iajs-2558	20	29	distribution	distribution	NOUN
iajs-2558	20	30	or	or	CCONJ
iajs-2558	20	31	(	(	PUNCT
iajs-2558	20	32	skew	skew	ADJ
iajs-2558	20	33	-	-	ADJ
iajs-2558	20	34	normal	normal	ADJ
iajs-2558	20	35	distribution	distribution	NOUN
iajs-2558	20	36	)	)	PUNCT
iajs-2558	21	1	[	[	X
iajs-2558	21	2	2	2	NUM
iajs-2558	21	3	]	]	PUNCT
iajs-2558	21	4	.	.	PUNCT
iajs-2558	22	1	we	we	PRON
iajs-2558	22	2	used	use	VERB
iajs-2558	22	3	the	the	DET
iajs-2558	22	4	idea	idea	NOUN
iajs-2558	22	5	of	of	ADP
iajs-2558	22	6	azzalini	azzalini	PROPN
iajs-2558	22	7	to	to	PART
iajs-2558	22	8	find	find	VERB
iajs-2558	22	9	the	the	DET
iajs-2558	22	10	shape	shape	NOUN
iajs-2558	22	11	parameter	parameter	NOUN
iajs-2558	22	12	to	to	ADP
iajs-2558	22	13	an	an	DET
iajs-2558	22	14	exponential	exponential	ADJ
iajs-2558	22	15	distribution	distribution	NOUN
iajs-2558	22	16	which	which	PRON
iajs-2558	22	17	is	be	AUX
iajs-2558	22	18	known	know	VERB
iajs-2558	22	19	as	as	ADP
iajs-2558	22	20	weighted	weight	VERB
iajs-2558	22	21	exponential	exponential	ADJ
iajs-2558	22	22	distribution	distribution	NOUN
iajs-2558	22	23	,	,	PUNCT
iajs-2558	22	24	as	as	ADV
iajs-2558	22	25	well	well	ADV
iajs-2558	22	26	as	as	ADP
iajs-2558	22	27	putthe	putthe	PROPN
iajs-2558	22	28	general	general	PROPN
iajs-2558	22	29	mathematical	mathematical	ADJ
iajs-2558	22	30	formula	formula	NOUN
iajs-2558	22	31	to	to	PART
iajs-2558	22	32	treat	treat	VERB
iajs-2558	22	33	the	the	DET
iajs-2558	22	34	weighted	weight	VERB
iajs-2558	22	35	statistical	statistical	ADJ
iajs-2558	22	36	distributions	distribution	NOUN
iajs-2558	22	37	which	which	PRON
iajs-2558	22	38	are	be	AUX
iajs-2558	22	39	as	as	ADV
iajs-2558	22	40	follow	follow	NOUN
iajs-2558	22	41	:	:	PUNCT
iajs-2558	22	42	𝑓𝑤(𝑋	𝑓𝑤(𝑋	NOUN
iajs-2558	22	43	)	)	PUNCT
iajs-2558	22	44	=	=	SYM
iajs-2558	22	45	1	1	NUM
iajs-2558	22	46	𝑝[𝑥2	𝑝[𝑥2	NOUN
iajs-2558	22	47	<	<	X
iajs-2558	22	48	𝛼𝑥1	𝛼𝑥1	NOUN
iajs-2558	22	49	]	]	PUNCT
iajs-2558	22	50	𝑓(𝑥1)𝐹(𝛼𝑥1	𝑓(𝑥1)𝐹(𝛼𝑥1	NOUN
iajs-2558	22	51	)	)	PUNCT
iajs-2558	22	52	(	(	PUNCT
iajs-2558	22	53	1	1	X
iajs-2558	22	54	)	)	PUNCT
iajs-2558	22	55	where	where	SCONJ
iajs-2558	22	56	:	:	PUNCT
iajs-2558	22	57	𝑓𝑤(𝑋	𝑓𝑤(𝑋	NOUN
iajs-2558	22	58	)	)	PUNCT
iajs-2558	22	59	weighted	weight	VERB
iajs-2558	22	60	probability	probability	NOUN
iajs-2558	22	61	density	density	NOUN
iajs-2558	22	62	function	function	NOUN
iajs-2558	22	63	.	.	PUNCT
iajs-2558	23	1	𝑓(𝑥1	𝑓(𝑥1	ADJ
iajs-2558	23	2	)	)	PUNCT
iajs-2558	23	3	standard	standard	ADJ
iajs-2558	23	4	probability	probability	NOUN
iajs-2558	23	5	density	density	NOUN
iajs-2558	23	6	function	function	NOUN
iajs-2558	23	7	for	for	ADP
iajs-2558	23	8	𝑟.	𝑟.	NOUN
iajs-2558	23	9	𝑣(𝑥1	𝑣(𝑥1	ADV
iajs-2558	23	10	)	)	PUNCT
iajs-2558	23	11	𝐹(𝛼𝑥1	𝐹(𝛼𝑥1	NOUN
iajs-2558	23	12	)	)	PUNCT
iajs-2558	23	13	cumulative	cumulative	ADJ
iajs-2558	23	14	distribution	distribution	NOUN
iajs-2558	23	15	functions	function	NOUN
iajs-2558	23	16	with	with	ADP
iajs-2558	23	17	respect	respect	NOUN
iajs-2558	23	18	to	to	ADP
iajs-2558	23	19	weighted	weight	VERB
iajs-2558	23	20	parameter	parameter	PROPN
iajs-2558	23	21	𝛼	𝛼	PROPN
iajs-2558	23	22	for	for	ADP
iajs-2558	23	23	standard	standard	ADJ
iajs-2558	23	24	distribution	distribution	NOUN
iajs-2558	23	25	.	.	PUNCT
iajs-2558	24	1	𝑃𝑟(𝑥2	𝑃𝑟(𝑥2	ADJ
iajs-2558	24	2	<	<	X
iajs-2558	24	3	𝛼𝑥1	𝛼𝑥1	PROPN
iajs-2558	24	4	)	)	PUNCT
iajs-2558	24	5	probability	probability	NOUN
iajs-2558	24	6	for	for	ADP
iajs-2558	24	7	𝑟.	𝑟.	NOUN
iajs-2558	24	8	𝑣(𝑥2	𝑣(𝑥2	NOUN
iajs-2558	24	9	)	)	PUNCT
iajs-2558	24	10	with	with	ADP
iajs-2558	24	11	respect	respect	NOUN
iajs-2558	24	12	to	to	ADP
iajs-2558	24	13	the	the	DET
iajs-2558	24	14	𝑟.	𝑟.	NOUN
iajs-2558	24	15	𝑣(𝑥1	𝑣(𝑥1	ADV
iajs-2558	24	16	)	)	PUNCT
iajs-2558	24	17	and	and	CCONJ
iajs-2558	24	18	weighted	weight	VERB
iajs-2558	24	19	function	function	NOUN
iajs-2558	24	20	(	(	PUNCT
iajs-2558	24	21	𝛼	𝛼	NOUN
iajs-2558	24	22	)	)	PUNCT
iajs-2558	24	23	.	.	PUNCT
iajs-2558	25	1	[	[	X
iajs-2558	25	2	3	3	NUM
iajs-2558	25	3	]	]	PUNCT
iajs-2558	25	4	studied	study	VERB
iajs-2558	25	5	weighed	weigh	VERB
iajs-2558	25	6	weibull	weibull	NOUN
iajs-2558	25	7	distribution	distribution	NOUN
iajs-2558	25	8	by	by	ADP
iajs-2558	25	9	using	use	VERB
iajs-2558	25	10	the	the	DET
iajs-2558	25	11	idea	idea	NOUN
iajs-2558	25	12	of	of	ADP
iajs-2558	25	13	azzalini	azzalini	PROPN
iajs-2558	25	14	and	and	CCONJ
iajs-2558	25	15	introduced	introduce	VERB
iajs-2558	25	16	the	the	DET
iajs-2558	25	17	basic	basic	ADJ
iajs-2558	25	18	properties	property	NOUN
iajs-2558	25	19	for	for	ADP
iajs-2558	25	20	this	this	DET
iajs-2558	25	21	model	model	NOUN
iajs-2558	25	22	[	[	X
iajs-2558	25	23	4	4	NUM
iajs-2558	25	24	]	]	PUNCT
iajs-2558	25	25	.	.	PUNCT
iajs-2558	26	1	studied	study	VERB
iajs-2558	26	2	the	the	DET
iajs-2558	26	3	skew	skew	NOUN
iajs-2558	26	4	-	-	ADJ
iajs-2558	26	5	ness	ness	ADJ
iajs-2558	26	6	parameter	parameter	NOUN
iajs-2558	26	7	of	of	ADP
iajs-2558	26	8	a	a	DET
iajs-2558	26	9	gamma	gamma	NOUN
iajs-2558	26	10	distribution	distribution	NOUN
iajs-2558	26	11	by	by	ADP
iajs-2558	26	12	using	use	VERB
iajs-2558	26	13	the	the	DET
iajs-2558	26	14	idea	idea	NOUN
iajs-2558	26	15	of	of	ADP
iajs-2558	26	16	azzalini	azzalini	PROPN
iajs-2558	26	17	that	that	PRON
iajs-2558	26	18	resulted	result	VERB
iajs-2558	26	19	a	a	DET
iajs-2558	26	20	new	new	ADJ
iajs-2558	26	21	class	class	NOUN
iajs-2558	26	22	of	of	ADP
iajs-2558	26	23	weighted	weight	VERB
iajs-2558	26	24	gamma	gamma	PROPN
iajs-2558	26	25	distribution.[5	distribution.[5	NOUN
iajs-2558	26	26	]	]	PUNCT
iajs-2558	26	27	proposed	propose	VERB
iajs-2558	26	28	the	the	DET
iajs-2558	26	29	extension	extension	NOUN
iajs-2558	26	30	of	of	ADP
iajs-2558	26	31	the	the	DET
iajs-2558	26	32	weighted	weighted	ADJ
iajs-2558	26	33	weibull	weibull	NOUN
iajs-2558	26	34	distribution	distribution	NOUN
iajs-2558	26	35	and	and	CCONJ
iajs-2558	26	36	the	the	DET
iajs-2558	26	37	main	main	ADJ
iajs-2558	26	38	properties	property	NOUN
iajs-2558	26	39	of	of	ADP
iajs-2558	26	40	this	this	DET
iajs-2558	26	41	class	class	NOUN
iajs-2558	26	42	are	be	AUX
iajs-2558	26	43	investigated	investigate	VERB
iajs-2558	26	44	and	and	CCONJ
iajs-2558	26	45	derived	derive	VERB
iajs-2558	27	1	[	[	X
iajs-2558	27	2	6	6	NUM
iajs-2558	27	3	]	]	PUNCT
iajs-2558	27	4	.	.	PUNCT
iajs-2558	28	1	estimated	estimate	VERB
iajs-2558	28	2	linley	linley	PROPN
iajs-2558	28	3	’s	’s	PART
iajs-2558	28	4	approximation	approximation	NOUN
iajs-2558	28	5	method	method	NOUN
iajs-2558	28	6	for	for	ADP
iajs-2558	28	7	weighted	weight	VERB
iajs-2558	28	8	exponential	exponential	ADJ
iajs-2558	28	9	distribution	distribution	NOUN
iajs-2558	28	10	by	by	ADP
iajs-2558	28	11	using	use	VERB
iajs-2558	28	12	a	a	DET
iajs-2558	28	13	monte	monte	PROPN
iajs-2558	28	14	carlo	carlo	PROPN
iajs-2558	28	15	simulation	simulation	PROPN
iajs-2558	28	16	study	study	PROPN
iajs-2558	28	17	[	[	X
iajs-2558	28	18	7	7	NUM
iajs-2558	28	19	]	]	PUNCT
iajs-2558	28	20	.	.	PUNCT
iajs-2558	29	1	introduced	introduce	VERB
iajs-2558	29	2	two	two	NUM
iajs-2558	29	3	shape	shape	NOUN
iajs-2558	29	4	parameters	parameter	NOUN
iajs-2558	29	5	to	to	ADP
iajs-2558	29	6	the	the	DET
iajs-2558	29	7	existing	exist	VERB
iajs-2558	29	8	weighted	weight	VERB
iajs-2558	29	9	exponential	exponential	ADJ
iajs-2558	29	10	distribution	distribution	NOUN
iajs-2558	29	11	to	to	PART
iajs-2558	29	12	develop	develop	VERB
iajs-2558	29	13	the	the	DET
iajs-2558	29	14	weighted	weight	VERB
iajs-2558	29	15	beta	beta	ADJ
iajs-2558	29	16	exponential	exponential	ADJ
iajs-2558	29	17	distribution	distribution	NOUN
iajs-2558	29	18	using	use	VERB
iajs-2558	29	19	the	the	DET
iajs-2558	29	20	log	log	NOUN
iajs-2558	29	21	it	it	PRON
iajs-2558	29	22	of	of	ADP
iajs-2558	29	23	beta	beta	NOUN
iajs-2558	29	24	function[8	function[8	PROPN
iajs-2558	29	25	]	]	PUNCT
iajs-2558	29	26	proposed	proposed	AUX
iajs-2558	29	27	a	a	DET
iajs-2558	29	28	model	model	NOUN
iajs-2558	29	29	named	name	VERB
iajs-2558	29	30	exponentiated	exponentiated	ADJ
iajs-2558	29	31	weighted	weight	VERB
iajs-2558	29	32	exponential	exponential	ADJ
iajs-2558	29	33	distribution	distribution	NOUN
iajs-2558	29	34	and	and	CCONJ
iajs-2558	29	35	some	some	PRON
iajs-2558	29	36	of	of	ADP
iajs-2558	29	37	the	the	DET
iajs-2558	29	38	basic	basic	ADJ
iajs-2558	29	39	statistical	statistical	ADJ
iajs-2558	29	40	properties	property	NOUN
iajs-2558	29	41	of	of	ADP
iajs-2558	29	42	the	the	DET
iajs-2558	29	43	proposed	propose	VERB
iajs-2558	29	44	model	model	NOUN
iajs-2558	29	45	are	be	AUX
iajs-2558	29	46	studied	study	VERB
iajs-2558	29	47	and	and	CCONJ
iajs-2558	29	48	provided[9	provided[9	NOUN
iajs-2558	29	49	]	]	PUNCT
iajs-2558	29	50	.	.	PUNCT
iajs-2558	30	1	studied	study	VERB
iajs-2558	30	2	the	the	DET
iajs-2558	30	3	nonparametric	nonparametric	NOUN
iajs-2558	30	4	method	method	NOUN
iajs-2558	30	5	such	such	ADJ
iajs-2558	30	6	as	as	ADP
iajs-2558	30	7	the	the	DET
iajs-2558	30	8	empirical	empirical	ADJ
iajs-2558	30	9	method	method	NOUN
iajs-2558	30	10	,	,	PUNCT
iajs-2558	30	11	kernel	kernel	NOUN
iajs-2558	30	12	method	method	NOUN
iajs-2558	30	13	,	,	PUNCT
iajs-2558	30	14	and	and	CCONJ
iajs-2558	30	15	modified	modify	VERB
iajs-2558	30	16	shrinkage	shrinkage	NOUN
iajs-2558	30	17	provided	provide	VERB
iajs-2558	30	18	in	in	ADP
iajs-2558	30	19	weighted	weight	VERB
iajs-2558	30	20	weibull	weibull	NOUN
iajs-2558	30	21	distribution	distribution	NOUN
iajs-2558	30	22	[	[	X
iajs-2558	30	23	10	10	NUM
iajs-2558	30	24	]	]	PUNCT
iajs-2558	30	25	.	.	PUNCT
iajs-2558	31	1	focused	focus	VERB
iajs-2558	31	2	on	on	ADP
iajs-2558	31	3	bayes	bayes	PROPN
iajs-2558	31	4	estimation	estimation	NOUN
iajs-2558	31	5	of	of	ADP
iajs-2558	31	6	weighted	weight	VERB
iajs-2558	31	7	exponential	exponential	ADJ
iajs-2558	31	8	distribution	distribution	NOUN
iajs-2558	31	9	with	with	ADP
iajs-2558	31	10	fuzzy	fuzzy	ADJ
iajs-2558	31	11	data[11	data[11	NOUN
iajs-2558	31	12	]	]	PUNCT
iajs-2558	31	13	.	.	PUNCT
iajs-2558	32	1	derived	derive	VERB
iajs-2558	32	2	two	two	NUM
iajs-2558	32	3	parameters	parameter	NOUN
iajs-2558	32	4	inverted	invert	VERB
iajs-2558	32	5	weighted	weight	VERB
iajs-2558	32	6	exponential	exponential	ADJ
iajs-2558	32	7	distribution	distribution	NOUN
iajs-2558	32	8	and	and	CCONJ
iajs-2558	32	9	its	its	PRON
iajs-2558	32	10	various	various	ADJ
iajs-2558	32	11	statistical	statistical	ADJ
iajs-2558	32	12	properties	property	NOUN
iajs-2558	32	13	thatwere	thatwere	ADV
iajs-2558	32	14	established	establish	VERB
iajs-2558	32	15	[	[	X
iajs-2558	32	16	12	12	NUM
iajs-2558	32	17	]	]	PUNCT
iajs-2558	32	18	.	.	PUNCT
iajs-2558	33	1	presented	present	VERB
iajs-2558	33	2	a	a	DET
iajs-2558	33	3	new	new	ADJ
iajs-2558	33	4	generalization	generalization	NOUN
iajs-2558	33	5	weighted	weight	VERB
iajs-2558	33	6	weibull	weibull	NOUN
iajs-2558	33	7	distribution	distribution	NOUN
iajs-2558	33	8	using	use	VERB
iajs-2558	33	9	topple	topple	NOUN
iajs-2558	33	10	one	one	NUM
iajs-2558	33	11	family	family	NOUN
iajs-2558	33	12	of	of	ADP
iajs-2558	33	13	distribution	distribution	NOUN
iajs-2558	33	14	[	[	X
iajs-2558	33	15	13	13	NUM
iajs-2558	33	16	]	]	PUNCT
iajs-2558	33	17	.	.	PUNCT
iajs-2558	34	1	proposed	propose	VERB
iajs-2558	34	2	a	a	DET
iajs-2558	34	3	new	new	ADJ
iajs-2558	34	4	class	class	NOUN
iajs-2558	34	5	of	of	ADP
iajs-2558	34	6	weighted	weight	VERB
iajs-2558	34	7	rayleigh	rayleigh	NOUN
iajs-2558	34	8	distribution	distribution	NOUN
iajs-2558	34	9	by	by	ADP
iajs-2558	34	10	using	use	VERB
iajs-2558	34	11	the	the	DET
iajs-2558	34	12	idea	idea	NOUN
iajs-2558	34	13	of	of	ADP
iajs-2558	34	14	azzalini	azzalini	NOUN
iajs-2558	34	15	and	and	CCONJ
iajs-2558	34	16	introduce	introduce	VERB
iajs-2558	34	17	the	the	DET
iajs-2558	34	18	main	main	ADJ
iajs-2558	34	19	characteristics	characteristic	NOUN
iajs-2558	34	20	of	of	ADP
iajs-2558	34	21	this	this	DET
iajs-2558	34	22	distribution.this	distribution.this	ADJ
iajs-2558	34	23	paper	paper	NOUN
iajs-2558	34	24	aimsto	aimsto	NOUN
iajs-2558	34	25	introduce	introduce	VERB
iajs-2558	34	26	a	a	DET
iajs-2558	34	27	new	new	ADJ
iajs-2558	34	28	weighted	weight	VERB
iajs-2558	34	29	rayleigh	rayleigh	NOUN
iajs-2558	34	30	distribution	distribution	NOUN
iajs-2558	34	31	with	with	ADP
iajs-2558	34	32	its	its	PRON
iajs-2558	34	33	properties	property	NOUN
iajs-2558	34	34	which	which	PRON
iajs-2558	34	35	discussed	discuss	VERB
iajs-2558	34	36	maintained	maintain	VERB
iajs-2558	34	37	in[13	in[13	PROPN
iajs-2558	34	38	]	]	PUNCT
iajs-2558	34	39	.	.	PUNCT
iajs-2558	35	1	applying	apply	VERB
iajs-2558	35	2	this	this	DET
iajs-2558	35	3	new	new	ADJ
iajs-2558	35	4	distribution	distribution	NOUN
iajs-2558	35	5	on	on	ADP
iajs-2558	35	6	real	real	ADJ
iajs-2558	35	7	data	datum	NOUN
iajs-2558	35	8	to	to	PART
iajs-2558	35	9	estimate	estimate	VERB
iajs-2558	35	10	the	the	DET
iajs-2558	35	11	parameters	parameter	NOUN
iajs-2558	35	12	by	by	ADP
iajs-2558	35	13	using	use	VERB
iajs-2558	35	14	two	two	NUM
iajs-2558	35	15	methods	method	NOUN
iajs-2558	35	16	and	and	CCONJ
iajs-2558	35	17	calculate	calculate	VERB
iajs-2558	35	18	the	the	DET
iajs-2558	35	19	death	death	NOUN
iajs-2558	35	20	density	density	NOUN
iajs-2558	35	21	function	function	NOUN
iajs-2558	35	22	,	,	PUNCT
iajs-2558	35	23	survival	survival	NOUN
iajs-2558	35	24	function	function	NOUN
iajs-2558	35	25	,	,	PUNCT
iajs-2558	35	26	hazard	hazard	NOUN
iajs-2558	35	27	function	function	NOUN
iajs-2558	35	28	for	for	ADP
iajs-2558	35	29	these	these	DET
iajs-2558	35	30	two	two	NUM
iajs-2558	35	31	methods	method	NOUN
iajs-2558	35	32	.	.	PUNCT
iajs-2558	36	1	the	the	DET
iajs-2558	36	2	rest	rest	NOUN
iajs-2558	36	3	of	of	ADP
iajs-2558	36	4	this	this	DET
iajs-2558	36	5	article	article	NOUN
iajs-2558	36	6	is	be	AUX
iajs-2558	36	7	as	as	SCONJ
iajs-2558	36	8	follows	follow	VERB
iajs-2558	36	9	:	:	PUNCT
iajs-2558	36	10	in	in	ADP
iajs-2558	36	11	section	section	NOUN
iajs-2558	36	12	two	two	NUM
iajs-2558	36	13	,	,	PUNCT
iajs-2558	36	14	the	the	DET
iajs-2558	36	15	new	new	ADJ
iajs-2558	36	16	weighted	weight	VERB
iajs-2558	36	17	rayleigh	rayleigh	NOUN
iajs-2558	36	18	distribution	distribution	NOUN
iajs-2558	36	19	and	and	CCONJ
iajs-2558	36	20	its	its	PRON
iajs-2558	36	21	properties	property	NOUN
iajs-2558	36	22	is	be	AUX
iajs-2558	36	23	presented	present	VERB
iajs-2558	36	24	,	,	PUNCT
iajs-2558	36	25	section	section	NOUN
iajs-2558	36	26	three	three	NUM
iajs-2558	36	27	xplains	xplain	NOUN
iajs-2558	36	28	estimation	estimation	NOUN
iajs-2558	36	29	methods	method	NOUN
iajs-2558	36	30	,	,	PUNCT
iajs-2558	36	31	in	in	ADP
iajs-2558	36	32	section	section	NOUN
iajs-2558	36	33	four	four	NUM
iajs-2558	36	34	is	be	AUX
iajs-2558	36	35	devoted	devote	VERB
iajs-2558	36	36	to	to	ADP
iajs-2558	36	37	the	the	DET
iajs-2558	36	38	real	real	ADJ
iajs-2558	36	39	data	datum	NOUN
iajs-2558	36	40	application	application	NOUN
iajs-2558	36	41	and	and	CCONJ
iajs-2558	36	42	section	section	NOUN
iajs-2558	36	43	five	five	NUM
iajs-2558	36	44	gives	give	VERB
iajs-2558	36	45	the	the	DET
iajs-2558	36	46	conclusion	conclusion	NOUN
iajs-2558	36	47	.	.	PUNCT
iajs-2558	37	1	2weighted	2weighted	NUM
iajs-2558	37	2	rayleigh	rayleigh	ADJ
iajs-2558	37	3	distribution	distribution	NOUN
iajs-2558	37	4	87	87	NUM
iajs-2558	37	5	ibn	ibn	PROPN
iajs-2558	37	6	al	al	PROPN
iajs-2558	37	7	-	-	PUNCT
iajs-2558	37	8	haitham	haitham	PROPN
iajs-2558	37	9	jour	jour	X
iajs-2558	37	10	.	.	PROPN
iajs-2558	37	11	for	for	ADP
iajs-2558	37	12	pure	pure	ADJ
iajs-2558	37	13	&	&	CCONJ
iajs-2558	37	14	appl	appl	PROPN
iajs-2558	37	15	.	.	PUNCT
iajs-2558	38	1	sci	sci	PROPN
iajs-2558	38	2	.	.	PROPN
iajs-2558	39	1	34	34	NUM
iajs-2558	39	2	(	(	PUNCT
iajs-2558	39	3	1	1	NUM
iajs-2558	39	4	)	)	PUNCT
iajs-2558	39	5	2021	2021	NUM
iajs-2558	39	6	in	in	ADP
iajs-2558	39	7	this	this	DET
iajs-2558	39	8	section	section	NOUN
iajs-2558	39	9	,	,	PUNCT
iajs-2558	39	10	we	we	PRON
iajs-2558	39	11	will	will	AUX
iajs-2558	39	12	provide	provide	VERB
iajs-2558	39	13	the	the	DET
iajs-2558	39	14	probability	probability	NOUN
iajs-2558	39	15	density	density	NOUN
iajs-2558	39	16	function	function	NOUN
iajs-2558	39	17	of	of	ADP
iajs-2558	39	18	new	new	ADJ
iajs-2558	39	19	weighted	weight	VERB
iajs-2558	39	20	rayleigh	rayleigh	NOUN
iajs-2558	39	21	distribution	distribution	NOUN
iajs-2558	39	22	which	which	PRON
iajs-2558	39	23	is	be	AUX
iajs-2558	39	24	as	as	SCONJ
iajs-2558	39	25	follows	follow	VERB
iajs-2558	39	26	:	:	PUNCT
iajs-2558	39	27	𝑓(𝑥	𝑓(𝑥	NOUN
iajs-2558	39	28	;	;	PUNCT
iajs-2558	39	29	𝛼	𝛼	X
iajs-2558	39	30	,	,	PUNCT
iajs-2558	39	31	𝜃	𝜃	NOUN
iajs-2558	39	32	)	)	PUNCT
iajs-2558	39	33	=	=	VERB
iajs-2558	39	34	𝛼2	𝛼2	ADJ
iajs-2558	39	35	+	+	CCONJ
iajs-2558	39	36	1	1	NUM
iajs-2558	39	37	𝛼2	𝛼2	NOUN
iajs-2558	39	38	𝜃𝑥	𝜃𝑥	ADP
iajs-2558	39	39	𝑒−	𝑒−	NOUN
iajs-2558	39	40	𝜃	𝜃	NUM
iajs-2558	39	41	2	2	NUM
iajs-2558	39	42	𝑥2	𝑥2	NOUN
iajs-2558	39	43	[	[	PUNCT
iajs-2558	39	44	1	1	NUM
iajs-2558	39	45	−	−	NUM
iajs-2558	39	46	𝑒−	𝑒−	NOUN
iajs-2558	39	47	𝜃	𝜃	NUM
iajs-2558	39	48	2	2	NUM
iajs-2558	39	49	𝑥2𝛼2	𝑥2𝛼2	PUNCT
iajs-2558	39	50	]	]	PUNCT
iajs-2558	39	51	,	,	PUNCT
iajs-2558	39	52	𝑥	𝑥	X
iajs-2558	39	53	>	>	X
iajs-2558	39	54	0[13	0[13	PROPN
iajs-2558	39	55	]	]	PUNCT
iajs-2558	39	56	(	(	PUNCT
iajs-2558	39	57	2	2	X
iajs-2558	39	58	)	)	PUNCT
iajs-2558	39	59	the	the	DET
iajs-2558	39	60	cumulative	cumulative	ADJ
iajs-2558	39	61	distribution	distribution	NOUN
iajs-2558	39	62	of	of	ADP
iajs-2558	39	63	new	new	ADJ
iajs-2558	39	64	distribution	distribution	NOUN
iajs-2558	39	65	is	be	AUX
iajs-2558	39	66	as	as	ADP
iajs-2558	39	67	follow	follow	VERB
iajs-2558	39	68	:	:	PUNCT
iajs-2558	39	69	𝐹(𝑥	𝐹(𝑥	NUM
iajs-2558	39	70	;	;	PUNCT
iajs-2558	39	71	𝛼	𝛼	X
iajs-2558	39	72	,	,	PUNCT
iajs-2558	39	73	𝜃	𝜃	NOUN
iajs-2558	39	74	)	)	PUNCT
iajs-2558	39	75	=	=	SYM
iajs-2558	40	1	1	1	NUM
iajs-2558	40	2	−	−	NOUN
iajs-2558	40	3	[	[	PUNCT
iajs-2558	40	4	(	(	PUNCT
iajs-2558	40	5	𝛼2	𝛼2	VERB
iajs-2558	40	6	+	+	PROPN
iajs-2558	40	7	1)𝑒	1)𝑒	NUM
iajs-2558	40	8	−	−	NOUN
iajs-2558	40	9	𝜃	𝜃	NUM
iajs-2558	40	10	2	2	NUM
iajs-2558	40	11	𝑥2	𝑥2	NOUN
iajs-2558	40	12	−𝑒	−𝑒	NOUN
iajs-2558	40	13	−	−	NOUN
iajs-2558	40	14	𝜃	𝜃	SYM
iajs-2558	40	15	2	2	NUM
iajs-2558	40	16	𝑥2(𝛼2	𝑥2(𝛼2	ADV
iajs-2558	40	17	+	+	NOUN
iajs-2558	40	18	1	1	NUM
iajs-2558	40	19	)	)	PUNCT
iajs-2558	40	20	𝛼2	𝛼2	PROPN
iajs-2558	40	21	]	]	PUNCT
iajs-2558	40	22	(	(	PUNCT
iajs-2558	40	23	3	3	X
iajs-2558	40	24	)	)	PUNCT
iajs-2558	40	25	the	the	DET
iajs-2558	40	26	survival	survival	NOUN
iajs-2558	40	27	function	function	NOUN
iajs-2558	40	28	and	and	CCONJ
iajs-2558	40	29	hazard	hazard	NOUN
iajs-2558	40	30	function	function	NOUN
iajs-2558	40	31	is	be	AUX
iajs-2558	40	32	as	as	SCONJ
iajs-2558	40	33	follows	follow	VERB
iajs-2558	40	34	:	:	PUNCT
iajs-2558	40	35	𝑆(𝑥	𝑆(𝑥	X
iajs-2558	40	36	)	)	PUNCT
iajs-2558	40	37	=	=	SYM
iajs-2558	40	38	(	(	PUNCT
iajs-2558	40	39	𝛼2	𝛼2	VERB
iajs-2558	40	40	+	+	CCONJ
iajs-2558	41	1	1)𝑒−	1)𝑒−	NUM
iajs-2558	41	2	𝜃	𝜃	NUM
iajs-2558	41	3	2	2	NUM
iajs-2558	41	4	𝑥2	𝑥2	NOUN
iajs-2558	41	5	−	−	NOUN
iajs-2558	41	6	𝑒−	𝑒−	NOUN
iajs-2558	41	7	𝜃	𝜃	NOUN
iajs-2558	41	8	2	2	NUM
iajs-2558	41	9	𝑥2(𝛼2	𝑥2(𝛼2	ADV
iajs-2558	41	10	+	+	NOUN
iajs-2558	41	11	1	1	NUM
iajs-2558	41	12	)	)	PUNCT
iajs-2558	41	13	𝛼2	𝛼2	PROPN
iajs-2558	41	14	(	(	PUNCT
iajs-2558	41	15	4	4	NUM
iajs-2558	41	16	)	)	PUNCT
iajs-2558	41	17	ℎ(𝑥	ℎ(𝑥	NUM
iajs-2558	41	18	)	)	PUNCT
iajs-2558	41	19	=	=	PUNCT
iajs-2558	41	20	𝜃𝑥(𝛼2	𝜃𝑥(𝛼2	VERB
iajs-2558	41	21	+	+	NOUN
iajs-2558	41	22	1	1	X
iajs-2558	41	23	)	)	PUNCT
iajs-2558	41	24	[	[	X
iajs-2558	41	25	1	1	NUM
iajs-2558	41	26	−	−	NUM
iajs-2558	41	27	𝑒−	𝑒−	NOUN
iajs-2558	41	28	𝜃	𝜃	NUM
iajs-2558	41	29	2	2	NUM
iajs-2558	41	30	𝑥2𝑑2	𝑥2𝑑2	SYM
iajs-2558	41	31	]	]	PUNCT
iajs-2558	42	1	[	[	X
iajs-2558	42	2	(	(	PUNCT
iajs-2558	42	3	𝛼2	𝛼2	ADJ
iajs-2558	42	4	+	+	NOUN
iajs-2558	42	5	1	1	NUM
iajs-2558	42	6	)	)	PUNCT
iajs-2558	42	7	−	−	ADP
iajs-2558	42	8	𝑒−	𝑒−	NOUN
iajs-2558	42	9	𝜃	𝜃	NUM
iajs-2558	42	10	2	2	NUM
iajs-2558	42	11	𝑥2𝛼2	𝑥2𝛼2	X
iajs-2558	42	12	]	]	PUNCT
iajs-2558	42	13	(	(	PUNCT
iajs-2558	42	14	5	5	X
iajs-2558	42	15	)	)	PUNCT
iajs-2558	42	16	the	the	DET
iajs-2558	42	17	𝑟𝑡ℎ	𝑟𝑡ℎ	NOUN
iajs-2558	42	18	moment	moment	NOUN
iajs-2558	42	19	of	of	ADP
iajs-2558	42	20	new	new	ADJ
iajs-2558	42	21	distribution	distribution	NOUN
iajs-2558	42	22	is	be	AUX
iajs-2558	42	23	as	as	SCONJ
iajs-2558	42	24	follows	follow	VERB
iajs-2558	42	25	:	:	PUNCT
iajs-2558	42	26	𝐸(𝑥𝑟	𝐸(𝑥𝑟	PRON
iajs-2558	42	27	)	)	PUNCT
iajs-2558	43	1	=	=	PUNCT
iajs-2558	43	2	𝛼2	𝛼2	ADJ
iajs-2558	43	3	+	+	CCONJ
iajs-2558	43	4	1	1	NUM
iajs-2558	43	5	𝛼2	𝛼2	ADJ
iajs-2558	43	6	(	(	PUNCT
iajs-2558	43	7	2	2	NUM
iajs-2558	43	8	𝜃	𝜃	X
iajs-2558	43	9	)	)	PUNCT
iajs-2558	43	10	𝑟	𝑟	NOUN
iajs-2558	43	11	2	2	NUM
iajs-2558	43	12	𝛤	𝛤	PROPN
iajs-2558	43	13	(	(	PUNCT
iajs-2558	43	14	𝑟	𝑟	NOUN
iajs-2558	43	15	2	2	NUM
iajs-2558	43	16	+	+	NOUN
iajs-2558	43	17	1	1	NUM
iajs-2558	43	18	)	)	PUNCT
iajs-2558	44	1	[	[	X
iajs-2558	44	2	1	1	NUM
iajs-2558	44	3	−	−	NUM
iajs-2558	44	4	1	1	NUM
iajs-2558	44	5	(	(	PUNCT
iajs-2558	44	6	𝛼2	𝛼2	VERB
iajs-2558	44	7	+	+	NOUN
iajs-2558	44	8	1	1	NUM
iajs-2558	44	9	)	)	PUNCT
iajs-2558	44	10	𝑟	𝑟	NOUN
iajs-2558	44	11	2	2	NUM
iajs-2558	44	12	+1	+1	NOUN
iajs-2558	44	13	]	]	PUNCT
iajs-2558	44	14	(	(	PUNCT
iajs-2558	44	15	6	6	NUM
iajs-2558	44	16	)	)	PUNCT
iajs-2558	44	17	the	the	DET
iajs-2558	44	18	mean	mean	NOUN
iajs-2558	44	19	and	and	CCONJ
iajs-2558	44	20	the	the	DET
iajs-2558	44	21	variance	variance	NOUN
iajs-2558	44	22	of	of	ADP
iajs-2558	44	23	the	the	DET
iajs-2558	44	24	new	new	ADJ
iajs-2558	44	25	distribution	distribution	NOUN
iajs-2558	44	26	is	be	AUX
iajs-2558	44	27	:	:	PUNCT
iajs-2558	44	28	m=	m=	X
iajs-2558	44	29	e	e	X
iajs-2558	44	30	(	(	PUNCT
iajs-2558	44	31	𝑋)=	𝑋)=	ADV
iajs-2558	44	32	𝛼2	𝛼2	ADJ
iajs-2558	44	33	+	+	ADJ
iajs-2558	44	34	1	1	NUM
iajs-2558	44	35	𝛼2	𝛼2	NOUN
iajs-2558	44	36	[	[	PUNCT
iajs-2558	44	37	𝜋	𝜋	NOUN
iajs-2558	44	38	2𝜃	2𝜃	NOUN
iajs-2558	44	39	]	]	SYM
iajs-2558	44	40	1	1	NUM
iajs-2558	44	41	2	2	NUM
iajs-2558	45	1	[	[	SYM
iajs-2558	45	2	1	1	NUM
iajs-2558	45	3	−	−	NUM
iajs-2558	45	4	1	1	NUM
iajs-2558	45	5	(	(	PUNCT
iajs-2558	45	6	𝛼2	𝛼2	VERB
iajs-2558	45	7	+	+	PROPN
iajs-2558	45	8	1	1	NUM
iajs-2558	45	9	)	)	PUNCT
iajs-2558	45	10	3	3	NUM
iajs-2558	45	11	2⁄	2⁄	NUM
iajs-2558	45	12	]	]	PUNCT
iajs-2558	45	13	(	(	PUNCT
iajs-2558	45	14	7	7	X
iajs-2558	45	15	)	)	PUNCT
iajs-2558	45	16	the	the	DET
iajs-2558	45	17	variance	variance	NOUN
iajs-2558	45	18	:	:	PUNCT
iajs-2558	45	19	𝜎2	𝜎2	PROPN
iajs-2558	45	20	=	=	SYM
iajs-2558	45	21	𝑣𝑎𝑟(𝑋	𝑣𝑎𝑟(𝑋	PROPN
iajs-2558	45	22	)	)	PUNCT
iajs-2558	45	23	=	=	PUNCT
iajs-2558	46	1	4𝛼4(𝛼2	4𝛼4(𝛼2	NUM
iajs-2558	46	2	+	+	NOUN
iajs-2558	46	3	2)−𝜋[(𝛼2	2)−𝜋[(𝛼2	NUM
iajs-2558	46	4	+	+	NOUN
iajs-2558	46	5	1	1	NUM
iajs-2558	46	6	)	)	PUNCT
iajs-2558	46	7	3	3	NUM
iajs-2558	46	8	2−1	2−1	NUM
iajs-2558	46	9	]	]	X
iajs-2558	46	10	2	2	NUM
iajs-2558	46	11	2𝜃𝛼4(𝛼2	2𝜃𝛼4(𝛼2	NUM
iajs-2558	46	12	+	+	NOUN
iajs-2558	46	13	1	1	NUM
iajs-2558	46	14	)	)	PUNCT
iajs-2558	46	15	(	(	PUNCT
iajs-2558	46	16	8)	8)	NUM
iajs-2558	46	17	the	the	DET
iajs-2558	46	18	moment	moment	NOUN
iajs-2558	46	19	generated	generate	VERB
iajs-2558	46	20	function	function	NOUN
iajs-2558	46	21	of	of	ADP
iajs-2558	46	22	this	this	DET
iajs-2558	46	23	distribution	distribution	NOUN
iajs-2558	46	24	is	be	AUX
iajs-2558	46	25	as	as	SCONJ
iajs-2558	46	26	follows	follow	VERB
iajs-2558	46	27	:	:	PUNCT
iajs-2558	47	1	𝑚.𝑔.	𝑚.𝑔.	ADP
iajs-2558	47	2	𝑓	𝑓	PRON
iajs-2558	47	3	=	=	PUNCT
iajs-2558	47	4	𝛼2	𝛼2	ADJ
iajs-2558	47	5	+	+	CCONJ
iajs-2558	47	6	1	1	NUM
iajs-2558	47	7	𝛼2	𝛼2	ADJ
iajs-2558	47	8	∑	∑	PUNCT
iajs-2558	47	9	𝑡𝑟	𝑡𝑟	VERB
iajs-2558	47	10	𝑟	𝑟	NOUN
iajs-2558	47	11	!	!	PUNCT
iajs-2558	48	1	∞	∞	NUM
iajs-2558	48	2	𝑟=0	𝑟=0	PUNCT
iajs-2558	48	3	(	(	PUNCT
iajs-2558	48	4	2	2	NUM
iajs-2558	48	5	𝛳	𝛳	NOUN
iajs-2558	48	6	)	)	PUNCT
iajs-2558	48	7	𝑟	𝑟	NOUN
iajs-2558	48	8	2	2	NUM
iajs-2558	48	9	γ	γ	X
iajs-2558	48	10	(	(	PUNCT
iajs-2558	48	11	𝑟	𝑟	NOUN
iajs-2558	48	12	2	2	NUM
iajs-2558	48	13	+	+	NOUN
iajs-2558	48	14	1	1	NUM
iajs-2558	48	15	)	)	PUNCT
iajs-2558	49	1	[	[	X
iajs-2558	49	2	1	1	NUM
iajs-2558	49	3	−	−	NUM
iajs-2558	49	4	1	1	NUM
iajs-2558	49	5	(	(	PUNCT
iajs-2558	49	6	𝛼2	𝛼2	VERB
iajs-2558	49	7	+	+	NOUN
iajs-2558	49	8	1	1	NUM
iajs-2558	49	9	)	)	PUNCT
iajs-2558	49	10	𝑟	𝑟	NOUN
iajs-2558	49	11	2⁄	2⁄	NUM
iajs-2558	49	12	+1	+1	NOUN
iajs-2558	49	13	]	]	PUNCT
iajs-2558	49	14	(	(	PUNCT
iajs-2558	49	15	9	9	X
iajs-2558	49	16	)	)	PUNCT
iajs-2558	49	17	the	the	DET
iajs-2558	49	18	factorial	factorial	ADJ
iajs-2558	49	19	moment	moment	NOUN
iajs-2558	49	20	generating	generate	VERB
iajs-2558	49	21	function	function	NOUN
iajs-2558	49	22	is	be	AUX
iajs-2558	49	23	:	:	PUNCT
iajs-2558	49	24	𝑀𝑥(𝑡	𝑀𝑥(𝑡	NOUN
iajs-2558	49	25	)	)	PUNCT
iajs-2558	49	26	=	=	PUNCT
iajs-2558	50	1	𝛼2	𝛼2	VERB
iajs-2558	50	2	+	+	CCONJ
iajs-2558	50	3	1	1	NUM
iajs-2558	50	4	𝛼2	𝛼2	ADJ
iajs-2558	50	5	∑	∑	PUNCT
iajs-2558	50	6	(	(	PUNCT
iajs-2558	50	7	ℓ𝑛𝑡)𝑟	ℓ𝑛𝑡)𝑟	NOUN
iajs-2558	50	8	𝑟	𝑟	NOUN
iajs-2558	50	9	!	!	NOUN
iajs-2558	51	1	∞	∞	NUM
iajs-2558	51	2	𝑟=0	𝑟=0	PUNCT
iajs-2558	51	3	(	(	PUNCT
iajs-2558	51	4	2	2	NUM
iajs-2558	51	5	𝜃	𝜃	X
iajs-2558	51	6	)	)	PUNCT
iajs-2558	51	7	𝑟	𝑟	PRON
iajs-2558	51	8	2	2	NUM
iajs-2558	51	9	γ	γ	X
iajs-2558	51	10	(	(	PUNCT
iajs-2558	51	11	𝑟	𝑟	NOUN
iajs-2558	51	12	2	2	NUM
iajs-2558	51	13	+	+	NOUN
iajs-2558	51	14	1	1	NUM
iajs-2558	51	15	)	)	PUNCT
iajs-2558	52	1	[	[	X
iajs-2558	52	2	1	1	NUM
iajs-2558	52	3	−	−	NUM
iajs-2558	52	4	1	1	NUM
iajs-2558	52	5	(	(	PUNCT
iajs-2558	52	6	𝛼2	𝛼2	VERB
iajs-2558	52	7	+	+	NOUN
iajs-2558	52	8	1	1	NUM
iajs-2558	52	9	)	)	PUNCT
iajs-2558	52	10	𝑟	𝑟	NOUN
iajs-2558	52	11	2	2	NUM
iajs-2558	52	12	+1	+1	NOUN
iajs-2558	52	13	]	]	PUNCT
iajs-2558	52	14	(	(	PUNCT
iajs-2558	52	15	10	10	NUM
iajs-2558	52	16	)	)	PUNCT
iajs-2558	52	17	the	the	DET
iajs-2558	52	18	skewness	skewness	NOUN
iajs-2558	52	19	and	and	CCONJ
iajs-2558	52	20	the	the	DET
iajs-2558	52	21	kurtosis	kurtosis	NOUN
iajs-2558	52	22	of	of	ADP
iajs-2558	52	23	this	this	DET
iajs-2558	52	24	distribution	distribution	NOUN
iajs-2558	52	25	is	be	AUX
iajs-2558	52	26	:	:	PUNCT
iajs-2558	52	27	88	88	NUM
iajs-2558	52	28	ibn	ibn	PROPN
iajs-2558	52	29	al	al	PROPN
iajs-2558	52	30	-	-	PUNCT
iajs-2558	52	31	haitham	haitham	PROPN
iajs-2558	52	32	jour	jour	X
iajs-2558	52	33	.	.	PROPN
iajs-2558	53	1	for	for	ADP
iajs-2558	53	2	pure	pure	ADJ
iajs-2558	53	3	&	&	CCONJ
iajs-2558	53	4	appl	appl	PROPN
iajs-2558	53	5	.	.	PUNCT
iajs-2558	54	1	sci	sci	PROPN
iajs-2558	54	2	.	.	PROPN
iajs-2558	55	1	34	34	NUM
iajs-2558	55	2	(	(	PUNCT
iajs-2558	55	3	1	1	NUM
iajs-2558	55	4	)	)	PUNCT
iajs-2558	55	5	2021	2021	NUM
iajs-2558	55	6	𝐶.	𝐶.	PROPN
iajs-2558	55	7	𝑆	𝑆	PROPN
iajs-2558	55	8	=	=	SYM
iajs-2558	55	9	1	1	NUM
iajs-2558	55	10	𝛼2	𝛼2	PROPN
iajs-2558	55	11	𝛤	𝛤	PROPN
iajs-2558	55	12	(	(	PUNCT
iajs-2558	55	13	5	5	NUM
iajs-2558	55	14	2	2	NUM
iajs-2558	55	15	)	)	PUNCT
iajs-2558	55	16	[	[	PUNCT
iajs-2558	55	17	(	(	PUNCT
iajs-2558	55	18	𝛼2	𝛼2	VERB
iajs-2558	55	19	+	+	NOUN
iajs-2558	55	20	1	1	NUM
iajs-2558	55	21	)	)	PUNCT
iajs-2558	55	22	5	5	NUM
iajs-2558	55	23	2	2	NUM
iajs-2558	55	24	−	−	NOUN
iajs-2558	55	25	1	1	NUM
iajs-2558	55	26	(	(	PUNCT
iajs-2558	55	27	𝛼2	𝛼2	VERB
iajs-2558	55	28	+	+	NOUN
iajs-2558	55	29	1	1	NUM
iajs-2558	55	30	)	)	PUNCT
iajs-2558	55	31	3	3	NUM
iajs-2558	55	32	2	2	NUM
iajs-2558	55	33	]	]	PUNCT
iajs-2558	55	34	(	(	PUNCT
iajs-2558	55	35	11	11	NUM
iajs-2558	55	36	)	)	PUNCT
iajs-2558	55	37	𝐶.	𝐶.	PROPN
iajs-2558	55	38	𝑘	𝑘	X
iajs-2558	55	39	=	=	PUNCT
iajs-2558	55	40	2[(𝛼2	2[(𝛼2	NUM
iajs-2558	56	1	+	+	CCONJ
iajs-2558	56	2	1)3	1)3	NUM
iajs-2558	56	3	−	−	NOUN
iajs-2558	56	4	1	1	NUM
iajs-2558	56	5	]	]	X
iajs-2558	56	6	𝛼2(𝛼2	𝛼2(𝛼2	NOUN
iajs-2558	56	7	+	+	CCONJ
iajs-2558	56	8	1)2	1)2	NUM
iajs-2558	56	9	−	−	NOUN
iajs-2558	56	10	3	3	NUM
iajs-2558	56	11	(	(	PUNCT
iajs-2558	56	12	12	12	NUM
iajs-2558	56	13	)	)	PUNCT
iajs-2558	56	14	the	the	DET
iajs-2558	56	15	characteristic	characteristic	ADJ
iajs-2558	56	16	function	function	NOUN
iajs-2558	56	17	of	of	ADP
iajs-2558	56	18	this	this	DET
iajs-2558	56	19	distribution	distribution	NOUN
iajs-2558	56	20	is	be	AUX
iajs-2558	56	21	as	as	SCONJ
iajs-2558	56	22	follows	follow	VERB
iajs-2558	56	23	:	:	PUNCT
iajs-2558	56	24	𝑄𝑥	𝑄𝑥	NOUN
iajs-2558	56	25	(	(	PUNCT
iajs-2558	56	26	𝑥	𝑥	NOUN
iajs-2558	56	27	)	)	PUNCT
iajs-2558	56	28	=	=	VERB
iajs-2558	57	1	𝛼2	𝛼2	ADJ
iajs-2558	57	2	+	+	CCONJ
iajs-2558	57	3	1	1	NUM
iajs-2558	57	4	𝛼2	𝛼2	ADJ
iajs-2558	57	5	∑	∑	PUNCT
iajs-2558	57	6	(	(	PUNCT
iajs-2558	57	7	𝑖𝑡)𝑟	𝑖𝑡)𝑟	PROPN
iajs-2558	57	8	𝑟	𝑟	NOUN
iajs-2558	57	9	!	!	PUNCT
iajs-2558	58	1	∞	∞	NUM
iajs-2558	58	2	𝑟=0	𝑟=0	PUNCT
iajs-2558	58	3	(	(	PUNCT
iajs-2558	58	4	2	2	NUM
iajs-2558	58	5	𝜃	𝜃	X
iajs-2558	58	6	)	)	PUNCT
iajs-2558	58	7	𝑟	𝑟	X
iajs-2558	58	8	γ	γ	X
iajs-2558	58	9	(	(	PUNCT
iajs-2558	58	10	𝑟	𝑟	NOUN
iajs-2558	58	11	2	2	NUM
iajs-2558	58	12	+	+	NOUN
iajs-2558	58	13	1	1	NUM
iajs-2558	58	14	)	)	PUNCT
iajs-2558	58	15	[	[	X
iajs-2558	58	16	1	1	NUM
iajs-2558	58	17	−	−	NUM
iajs-2558	58	18	1	1	NUM
iajs-2558	58	19	(	(	PUNCT
iajs-2558	58	20	𝛼2	𝛼2	VERB
iajs-2558	58	21	+	+	NOUN
iajs-2558	58	22	1	1	NUM
iajs-2558	58	23	)	)	PUNCT
iajs-2558	58	24	𝑟	𝑟	NOUN
iajs-2558	58	25	2	2	NUM
iajs-2558	58	26	+1	+1	NOUN
iajs-2558	58	27	]	]	PUNCT
iajs-2558	58	28	(	(	PUNCT
iajs-2558	58	29	13	13	NUM
iajs-2558	58	30	)	)	SYM
iajs-2558	58	31	3	3	NUM
iajs-2558	58	32	.	.	X
iajs-2558	58	33	estimation	estimation	NOUN
iajs-2558	58	34	methods	method	NOUN
iajs-2558	58	35	in	in	ADP
iajs-2558	58	36	this	this	DET
iajs-2558	58	37	section	section	NOUN
iajs-2558	58	38	,	,	PUNCT
iajs-2558	58	39	estimate	estimate	VERB
iajs-2558	58	40	the	the	DET
iajs-2558	58	41	parameters	parameter	NOUN
iajs-2558	58	42	of	of	ADP
iajs-2558	58	43	weighted	weight	VERB
iajs-2558	58	44	rayleigh	rayleigh	NOUN
iajs-2558	58	45	distribution	distribution	NOUN
iajs-2558	58	46	by	by	ADP
iajs-2558	58	47	employing	employ	VERB
iajs-2558	58	48	two	two	NUM
iajs-2558	58	49	methods	method	NOUN
iajs-2558	58	50	(	(	PUNCT
iajs-2558	58	51	maximum	maximum	ADJ
iajs-2558	58	52	likelihood	likelihood	NOUN
iajs-2558	58	53	estimator	estimator	NOUN
iajs-2558	58	54	method	method	NOUN
iajs-2558	58	55	and	and	CCONJ
iajs-2558	58	56	ordinary	ordinary	ADJ
iajs-2558	58	57	least	least	ADJ
iajs-2558	58	58	square	square	ADJ
iajs-2558	58	59	estimator	estimator	NOUN
iajs-2558	58	60	method	method	NOUN
iajs-2558	58	61	)	)	PUNCT
iajs-2558	58	62	.	.	PUNCT
iajs-2558	59	1	3.1	3.1	NUM
iajs-2558	59	2	:	:	PUNCT
iajs-2558	59	3	maximum	maximum	ADJ
iajs-2558	59	4	likelihood	likelihood	NOUN
iajs-2558	59	5	method	method	NOUN
iajs-2558	59	6	mle	mle	PROPN
iajs-2558	59	7	is	be	AUX
iajs-2558	59	8	a	a	DET
iajs-2558	59	9	famous	famous	ADJ
iajs-2558	59	10	and	and	CCONJ
iajs-2558	59	11	classical	classical	ADJ
iajs-2558	59	12	method	method	NOUN
iajs-2558	59	13	used	use	VERB
iajs-2558	59	14	to	to	PART
iajs-2558	59	15	find	find	VERB
iajs-2558	59	16	the	the	DET
iajs-2558	59	17	estimators	estimator	NOUN
iajs-2558	59	18	of	of	ADP
iajs-2558	59	19	parameters	parameter	NOUN
iajs-2558	59	20	that	that	PRON
iajs-2558	59	21	maximize	maximize	VERB
iajs-2558	59	22	the	the	DET
iajs-2558	59	23	likelihood	likelihood	NOUN
iajs-2558	59	24	function	function	NOUN
iajs-2558	59	25	.	.	PUNCT
iajs-2558	60	1	the	the	DET
iajs-2558	60	2	probability	probability	NOUN
iajs-2558	60	3	density	density	NOUN
iajs-2558	60	4	function	function	NOUN
iajs-2558	60	5	is	be	AUX
iajs-2558	60	6	:	:	PUNCT
iajs-2558	60	7	𝑓(x	𝑓(x	PROPN
iajs-2558	60	8	;	;	PUNCT
iajs-2558	60	9	α	α	X
iajs-2558	60	10	,	,	PUNCT
iajs-2558	60	11	θ	θ	NOUN
iajs-2558	60	12	)	)	PUNCT
iajs-2558	60	13	=	=	VERB
iajs-2558	61	1	α2	α2	ADJ
iajs-2558	61	2	+	+	CCONJ
iajs-2558	61	3	1	1	NUM
iajs-2558	61	4	α2	α2	ADJ
iajs-2558	61	5	θx	θx	ADP
iajs-2558	61	6	e−	e−	PROPN
iajs-2558	61	7	θ	θ	PROPN
iajs-2558	61	8	2	2	NUM
iajs-2558	62	1	x2	x2	NOUN
iajs-2558	63	1	[	[	X
iajs-2558	63	2	1	1	NUM
iajs-2558	63	3	−	−	NUM
iajs-2558	63	4	e−	e−	PROPN
iajs-2558	63	5	θ	θ	PROPN
iajs-2558	63	6	2	2	X
iajs-2558	63	7	x2α2	x2α2	SYM
iajs-2558	63	8	]	]	X
iajs-2558	63	9	(	(	PUNCT
iajs-2558	63	10	14	14	X
iajs-2558	63	11	)	)	PUNCT
iajs-2558	63	12	𝐿	𝐿	PROPN
iajs-2558	63	13	(	(	PUNCT
iajs-2558	63	14	𝛼	𝛼	PROPN
iajs-2558	63	15	,	,	PUNCT
iajs-2558	63	16	𝜃	𝜃	NOUN
iajs-2558	63	17	;	;	PUNCT
iajs-2558	63	18	𝑥	𝑥	X
iajs-2558	63	19	)	)	PUNCT
iajs-2558	63	20	=	=	SYM
iajs-2558	63	21	(	(	PUNCT
iajs-2558	63	22	𝛼2	𝛼2	PROPN
iajs-2558	64	1	+	+	CCONJ
iajs-2558	64	2	1)𝑛	1)𝑛	NUM
iajs-2558	64	3	𝛼2𝑛	𝛼2𝑛	NUM
iajs-2558	64	4	𝜃𝑛	𝜃𝑛	NOUN
iajs-2558	64	5	∏𝑥𝑖	∏𝑥𝑖	NOUN
iajs-2558	64	6	𝑛	𝑛	PRON
iajs-2558	64	7	𝑖=1	𝑖=1	PUNCT
iajs-2558	64	8	𝑒−	𝑒−	NOUN
iajs-2558	64	9	θ	θ	NOUN
iajs-2558	64	10	2	2	NUM
iajs-2558	64	11	x2	x2	NOUN
iajs-2558	64	12	∏[1	∏[1	VERB
iajs-2558	64	13	−	−	X
iajs-2558	64	14	𝑒−	𝑒−	NOUN
iajs-2558	64	15	𝜃	𝜃	NUM
iajs-2558	64	16	2	2	NUM
iajs-2558	64	17	𝑥2𝛼2	𝑥2𝛼2	NOUN
iajs-2558	64	18	]	]	PUNCT
iajs-2558	64	19	𝑛	𝑛	PROPN
iajs-2558	64	20	𝑖=1	𝑖=1	PROPN
iajs-2558	64	21	(	(	PUNCT
iajs-2558	64	22	15	15	NUM
iajs-2558	64	23	)	)	PUNCT
iajs-2558	64	24	𝐿𝑛𝐿	𝐿𝑛𝐿	NOUN
iajs-2558	64	25	=	=	SYM
iajs-2558	64	26	𝑛𝑙𝑛	𝑛𝑙𝑛	NOUN
iajs-2558	64	27	(	(	PUNCT
iajs-2558	64	28	𝛼2	𝛼2	VERB
iajs-2558	64	29	+	+	NOUN
iajs-2558	64	30	1	1	NUM
iajs-2558	64	31	)	)	PUNCT
iajs-2558	64	32	−	−	PROPN
iajs-2558	64	33	2𝑛	2𝑛	PROPN
iajs-2558	64	34	𝑙𝑛(𝛼	𝑙𝑛(𝛼	PUNCT
iajs-2558	64	35	)	)	PUNCT
iajs-2558	65	1	+	+	CCONJ
iajs-2558	65	2	𝑛𝑙𝑛𝜃	𝑛𝑙𝑛𝜃	ADJ
iajs-2558	65	3	+	+	CCONJ
iajs-2558	65	4	∑𝐿𝑛	∑𝐿𝑛	PROPN
iajs-2558	65	5	𝑥𝑖	𝑥𝑖	NUM
iajs-2558	65	6	𝑛	𝑛	PRON
iajs-2558	65	7	𝑖=1	𝑖=1	PUNCT
iajs-2558	66	1	−	−	NOUN
iajs-2558	66	2	ө	ө	NOUN
iajs-2558	66	3	2	2	NUM
iajs-2558	66	4	∑𝑥𝑖	∑𝑥𝑖	ADP
iajs-2558	66	5	2	2	NUM
iajs-2558	66	6	𝑛	𝑛	PRON
iajs-2558	66	7	𝑖=1	𝑖=1	PUNCT
iajs-2558	67	1	+	+	PROPN
iajs-2558	67	2	∑𝐿𝑛	∑𝐿𝑛	PROPN
iajs-2558	67	3	[	[	X
iajs-2558	67	4	1	1	NUM
iajs-2558	67	5	−	−	NUM
iajs-2558	67	6	𝑒−	𝑒−	NOUN
iajs-2558	67	7	𝜃	𝜃	SYM
iajs-2558	67	8	2	2	NUM
iajs-2558	67	9	𝑥𝑖	𝑥𝑖	ADP
iajs-2558	67	10	2𝛼2	2𝛼2	NUM
iajs-2558	67	11	]	]	PUNCT
iajs-2558	67	12	𝑛	𝑛	PROPN
iajs-2558	67	13	𝑖=1	𝑖=1	PROPN
iajs-2558	67	14	(	(	PUNCT
iajs-2558	67	15	16	16	NUM
iajs-2558	67	16	)	)	PUNCT
iajs-2558	67	17	𝑑𝑙𝑛𝑙	𝑑𝑙𝑛𝑙	NOUN
iajs-2558	67	18	𝑑𝜃	𝑑𝜃	ADP
iajs-2558	67	19	=	=	SYM
iajs-2558	67	20	𝑛	𝑛	PRON
iajs-2558	67	21	𝜃	𝜃	NUM
iajs-2558	67	22	−	−	NUM
iajs-2558	67	23	1	1	NUM
iajs-2558	67	24	2	2	NUM
iajs-2558	67	25	∑𝑥𝑖	∑𝑥𝑖	ADP
iajs-2558	67	26	2	2	NUM
iajs-2558	67	27	𝑛	𝑛	PRON
iajs-2558	67	28	𝑖=1	𝑖=1	PROPN
iajs-2558	68	1	+	+	CCONJ
iajs-2558	68	2	∑	∑	SYM
iajs-2558	68	3	1	1	NUM
iajs-2558	68	4	2	2	NUM
iajs-2558	68	5	𝑥𝑖	𝑥𝑖	ADP
iajs-2558	68	6	2	2	NUM
iajs-2558	68	7	𝛼2𝑒−	𝛼2𝑒−	NOUN
iajs-2558	68	8	𝜃	𝜃	NUM
iajs-2558	68	9	2	2	NUM
iajs-2558	68	10	𝑥𝑖	𝑥𝑖	NUM
iajs-2558	68	11	2𝛼2	2𝛼2	NUM
iajs-2558	68	12	[	[	X
iajs-2558	68	13	1	1	NUM
iajs-2558	68	14	−	−	NUM
iajs-2558	68	15	𝑒−	𝑒−	NOUN
iajs-2558	68	16	𝜃	𝜃	SYM
iajs-2558	68	17	2	2	NUM
iajs-2558	68	18	𝑥𝑖	𝑥𝑖	NUM
iajs-2558	68	19	2𝛼2	2𝛼2	NUM
iajs-2558	68	20	]	]	PUNCT
iajs-2558	68	21	=	=	PUNCT
iajs-2558	68	22	𝑔1(𝜃	𝑔1(𝜃	NOUN
iajs-2558	68	23	)	)	PUNCT
iajs-2558	68	24	𝑛	𝑛	PRON
iajs-2558	68	25	𝑖=1	𝑖=1	PROPN
iajs-2558	68	26	(	(	PUNCT
iajs-2558	68	27	17	17	NUM
iajs-2558	68	28	)	)	PUNCT
iajs-2558	68	29	𝑑𝑙𝑛𝑙	𝑑𝑙𝑛𝑙	NOUN
iajs-2558	68	30	𝑑𝛼	𝑑𝛼	ADP
iajs-2558	68	31	=	=	PUNCT
iajs-2558	68	32	2𝑛𝛼	2𝑛𝛼	ADJ
iajs-2558	68	33	(	(	PUNCT
iajs-2558	68	34	𝛼2	𝛼2	ADJ
iajs-2558	68	35	+	+	NOUN
iajs-2558	68	36	1	1	NUM
iajs-2558	68	37	)	)	PUNCT
iajs-2558	69	1	−	−	PROPN
iajs-2558	69	2	2𝑛	2𝑛	PROPN
iajs-2558	69	3	𝛼	𝛼	PRON
iajs-2558	70	1	+	+	CCONJ
iajs-2558	70	2	∑	∑	PUNCT
iajs-2558	70	3	𝜃𝛼	𝜃𝛼	VERB
iajs-2558	70	4	𝑥𝑖	𝑥𝑖	ADP
iajs-2558	70	5	2	2	NUM
iajs-2558	70	6	𝑒−	𝑒−	NOUN
iajs-2558	70	7	𝜃	𝜃	NUM
iajs-2558	70	8	2	2	NUM
iajs-2558	70	9	𝑥𝑖	𝑥𝑖	NUM
iajs-2558	70	10	2𝛼2	2𝛼2	NUM
iajs-2558	70	11	[	[	X
iajs-2558	70	12	1	1	NUM
iajs-2558	70	13	−	−	NUM
iajs-2558	70	14	𝑒−	𝑒−	NOUN
iajs-2558	70	15	𝜃	𝜃	SYM
iajs-2558	70	16	2	2	NUM
iajs-2558	70	17	𝑥𝑖	𝑥𝑖	NUM
iajs-2558	70	18	2𝛼2	2𝛼2	NUM
iajs-2558	70	19	]	]	PUNCT
iajs-2558	70	20	=	=	SYM
iajs-2558	70	21	𝑔2	𝑔2	VERB
iajs-2558	70	22	𝑛	𝑛	PRON
iajs-2558	70	23	𝑖=1	𝑖=1	PROPN
iajs-2558	70	24	(	(	PUNCT
iajs-2558	70	25	𝛼	𝛼	NOUN
iajs-2558	70	26	)	)	PUNCT
iajs-2558	70	27	(	(	PUNCT
iajs-2558	70	28	18	18	NUM
iajs-2558	70	29	)	)	PUNCT
iajs-2558	70	30	𝑑𝑔1(𝜃	𝑑𝑔1(𝜃	NUM
iajs-2558	70	31	)	)	PUNCT
iajs-2558	70	32	𝑑𝜃	𝑑𝜃	PROPN
iajs-2558	70	33	=	=	SYM
iajs-2558	70	34	−	−	PROPN
iajs-2558	70	35	𝑛	𝑛	PROPN
iajs-2558	70	36	𝜃2	𝜃2	PROPN
iajs-2558	70	37	−	−	NOUN
iajs-2558	70	38	∑	∑	SYM
iajs-2558	70	39	1	1	NUM
iajs-2558	70	40	4𝑥𝑖	4𝑥𝑖	ADJ
iajs-2558	70	41	4𝛼4𝑒−𝜃𝑥𝑖	4𝛼4𝑒−𝜃𝑥𝑖	NOUN
iajs-2558	70	42	2𝛼2	2𝛼2	NUM
iajs-2558	71	1	[	[	X
iajs-2558	71	2	1	1	NUM
iajs-2558	71	3	−	−	NUM
iajs-2558	71	4	𝑒−	𝑒−	NOUN
iajs-2558	71	5	𝜃	𝜃	SYM
iajs-2558	71	6	2	2	NUM
iajs-2558	71	7	𝑥𝑖	𝑥𝑖	ADP
iajs-2558	71	8	2𝛼2	2𝛼2	NUM
iajs-2558	71	9	]	]	SYM
iajs-2558	71	10	2	2	NUM
iajs-2558	71	11	(	(	PUNCT
iajs-2558	71	12	19	19	NUM
iajs-2558	71	13	)	)	PUNCT
iajs-2558	71	14	𝑛	𝑛	PRON
iajs-2558	71	15	𝑖=1	𝑖=1	PROPN
iajs-2558	71	16	89	89	NUM
iajs-2558	71	17	ibn	ibn	PROPN
iajs-2558	71	18	al	al	PROPN
iajs-2558	71	19	-	-	PUNCT
iajs-2558	71	20	haitham	haitham	PROPN
iajs-2558	71	21	jour	jour	X
iajs-2558	71	22	.	.	PROPN
iajs-2558	72	1	for	for	ADP
iajs-2558	72	2	pure	pure	ADJ
iajs-2558	72	3	&	&	CCONJ
iajs-2558	72	4	appl	appl	PROPN
iajs-2558	72	5	.	.	PUNCT
iajs-2558	73	1	sci	sci	PROPN
iajs-2558	73	2	.	.	PROPN
iajs-2558	74	1	34	34	NUM
iajs-2558	74	2	(	(	PUNCT
iajs-2558	74	3	1	1	NUM
iajs-2558	74	4	)	)	PUNCT
iajs-2558	74	5	2021	2021	NUM
iajs-2558	74	6	𝑑𝑔1(𝜃	𝑑𝑔1(𝜃	NUM
iajs-2558	74	7	)	)	PUNCT
iajs-2558	74	8	𝑑𝛼	𝑑𝛼	NOUN
iajs-2558	74	9	=	=	PUNCT
iajs-2558	74	10	∑	∑	PUNCT
iajs-2558	74	11	−	−	PROPN
iajs-2558	74	12	1	1	NUM
iajs-2558	75	1	2𝜃𝛼3𝑥𝑖	2𝜃𝛼3𝑥𝑖	NUM
iajs-2558	75	2	4𝑒−	4𝑒−	NUM
iajs-2558	75	3	𝜃	𝜃	NUM
iajs-2558	75	4	2	2	NUM
iajs-2558	75	5	𝑥𝑖	𝑥𝑖	NUM
iajs-2558	75	6	2𝛼2	2𝛼2	NUM
iajs-2558	75	7	+	+	CCONJ
iajs-2558	75	8	𝛼𝑥𝑖	𝛼𝑥𝑖	ADJ
iajs-2558	75	9	2𝑒−	2𝑒−	NUM
iajs-2558	75	10	𝜃	𝜃	SYM
iajs-2558	75	11	2	2	NUM
iajs-2558	75	12	𝑥𝑖	𝑥𝑖	ADP
iajs-2558	75	13	2𝛼2	2𝛼2	NUM
iajs-2558	75	14	−	−	PRON
iajs-2558	75	15	𝛼𝑥𝑖	𝛼𝑥𝑖	ADJ
iajs-2558	75	16	2𝑒−𝜃𝑥𝑖	2𝑒−𝜃𝑥𝑖	NOUN
iajs-2558	75	17	2𝛼2	2𝛼2	NUM
iajs-2558	75	18	[	[	SYM
iajs-2558	75	19	1	1	NUM
iajs-2558	75	20	−	−	NUM
iajs-2558	75	21	𝑒−	𝑒−	NOUN
iajs-2558	75	22	𝜃	𝜃	SYM
iajs-2558	75	23	2	2	NUM
iajs-2558	75	24	𝑥𝑖	𝑥𝑖	ADP
iajs-2558	75	25	2𝛼2	2𝛼2	NUM
iajs-2558	75	26	]	]	PUNCT
iajs-2558	75	27	2	2	NUM
iajs-2558	75	28	𝑛	𝑛	PRON
iajs-2558	75	29	𝑖=1	𝑖=1	PROPN
iajs-2558	75	30	(	(	PUNCT
iajs-2558	75	31	20	20	NUM
iajs-2558	75	32	)	)	PUNCT
iajs-2558	75	33	d𝑔2(α	d𝑔2(α	NOUN
iajs-2558	75	34	)	)	PUNCT
iajs-2558	75	35	d𝜃	d𝜃	ADP
iajs-2558	75	36	=	=	PUNCT
iajs-2558	75	37	∑	∑	PROPN
iajs-2558	75	38	−	−	PROPN
iajs-2558	75	39	1	1	NUM
iajs-2558	75	40	2θα3xi	2θα3xi	NUM
iajs-2558	75	41	4	4	NUM
iajs-2558	75	42	e−	e−	NUM
iajs-2558	75	43	θ	θ	NOUN
iajs-2558	75	44	2	2	NUM
iajs-2558	75	45	xi	xi	ADP
iajs-2558	75	46	2α2	2α2	NUM
iajs-2558	75	47	+	+	CCONJ
iajs-2558	75	48	αxi	αxi	ADV
iajs-2558	76	1	2e−	2e−	NUM
iajs-2558	76	2	θ	θ	NOUN
iajs-2558	76	3	2	2	NUM
iajs-2558	76	4	xi	xi	ADP
iajs-2558	76	5	2α2	2α2	NUM
iajs-2558	76	6	−	−	ADP
iajs-2558	76	7	αxi	αxi	CCONJ
iajs-2558	76	8	2e−θxi	2e−θxi	NUM
iajs-2558	76	9	2α2	2α2	NUM
iajs-2558	77	1	[	[	X
iajs-2558	77	2	1	1	NUM
iajs-2558	77	3	−	−	NUM
iajs-2558	77	4	e−	e−	PROPN
iajs-2558	77	5	θ	θ	PROPN
iajs-2558	77	6	2	2	NUM
iajs-2558	77	7	xi	xi	ADP
iajs-2558	77	8	2α2	2α2	NUM
iajs-2558	77	9	]	]	PUNCT
iajs-2558	77	10	2	2	NUM
iajs-2558	77	11	n	n	SYM
iajs-2558	77	12	i=1	i=1	PROPN
iajs-2558	77	13	(	(	PUNCT
iajs-2558	77	14	21	21	NUM
iajs-2558	77	15	)	)	PUNCT
iajs-2558	77	16	𝑑𝑔2(α	𝑑𝑔2(α	NOUN
iajs-2558	77	17	)	)	PUNCT
iajs-2558	77	18	d𝛼	d𝛼	NOUN
iajs-2558	77	19	=	=	SYM
iajs-2558	77	20	2𝑛(1	2𝑛(1	NOUN
iajs-2558	77	21	−	−	ADP
iajs-2558	77	22	𝛼2	𝛼2	PROPN
iajs-2558	77	23	)	)	PUNCT
iajs-2558	77	24	(	(	PUNCT
iajs-2558	77	25	𝛼2	𝛼2	VERB
iajs-2558	77	26	+	+	NOUN
iajs-2558	77	27	1	1	NUM
iajs-2558	77	28	)	)	SYM
iajs-2558	77	29	2	2	NUM
iajs-2558	78	1	+	+	NUM
iajs-2558	78	2	2𝑛	2𝑛	PROPN
iajs-2558	78	3	𝛼2	𝛼2	PROPN
iajs-2558	78	4	+	+	CCONJ
iajs-2558	78	5	∑	∑	PUNCT
iajs-2558	78	6	𝜃𝑥𝑖	𝜃𝑥𝑖	NOUN
iajs-2558	78	7	2𝑒−	2𝑒−	NUM
iajs-2558	78	8	𝜃	𝜃	NUM
iajs-2558	78	9	2	2	NUM
iajs-2558	78	10	𝑥𝑖	𝑥𝑖	ADP
iajs-2558	78	11	2𝛼2	2𝛼2	NUM
iajs-2558	78	12	−	−	PROPN
iajs-2558	78	13	𝜃𝑥𝑖	𝜃𝑥𝑖	ADJ
iajs-2558	78	14	2𝑒−𝜃𝑥𝑖	2𝑒−𝜃𝑥𝑖	NOUN
iajs-2558	78	15	2𝛼2	2𝛼2	NUM
iajs-2558	78	16	−	−	NOUN
iajs-2558	78	17	𝜃2𝛼2𝑥𝑖	𝜃2𝛼2𝑥𝑖	X
iajs-2558	79	1	4𝑒−	4𝑒−	NOUN
iajs-2558	79	2	𝜃	𝜃	NUM
iajs-2558	79	3	2	2	NUM
iajs-2558	79	4	𝑥𝑖	𝑥𝑖	NUM
iajs-2558	79	5	2𝛼2	2𝛼2	NUM
iajs-2558	79	6	[	[	X
iajs-2558	79	7	1	1	NUM
iajs-2558	79	8	−	−	NUM
iajs-2558	79	9	𝑒−	𝑒−	NOUN
iajs-2558	79	10	𝜃	𝜃	SYM
iajs-2558	79	11	2	2	NUM
iajs-2558	79	12	𝑥𝑖	𝑥𝑖	ADP
iajs-2558	79	13	2𝛼2	2𝛼2	NUM
iajs-2558	79	14	]	]	PUNCT
iajs-2558	79	15	2	2	NUM
iajs-2558	79	16	𝑛	𝑛	PRON
iajs-2558	79	17	𝑖=1	𝑖=1	PROPN
iajs-2558	79	18	(	(	PUNCT
iajs-2558	79	19	22	22	NUM
iajs-2558	79	20	)	)	PUNCT
iajs-2558	79	21	the	the	DET
iajs-2558	79	22	above	above	ADJ
iajs-2558	79	23	equations	equation	NOUN
iajs-2558	79	24	are	be	AUX
iajs-2558	79	25	nonlinear	nonlinear	ADJ
iajs-2558	79	26	and	and	CCONJ
iajs-2558	79	27	must	must	AUX
iajs-2558	79	28	use	use	VERB
iajs-2558	79	29	multivariate	multivariate	NOUN
iajs-2558	79	30	newton	newton	PROPN
iajs-2558	79	31	-	-	PUNCT
iajs-2558	79	32	raphson	raphson	PROPN
iajs-2558	79	33	method	method	NOUN
iajs-2558	79	34	which	which	PRON
iajs-2558	79	35	is	be	AUX
iajs-2558	79	36	as	as	ADV
iajs-2558	79	37	follow	follow	VERB
iajs-2558	79	38	:	:	PUNCT
iajs-2558	79	39	(	(	PUNCT
iajs-2558	79	40	23	23	NUM
iajs-2558	79	41	)	)	PUNCT
iajs-2558	79	42	[	[	PUNCT
iajs-2558	79	43	θk+1	θk+1	NUM
iajs-2558	79	44	αk+1	αk+1	NUM
iajs-2558	79	45	]	]	PUNCT
iajs-2558	80	1	=	=	PUNCT
iajs-2558	80	2	[	[	PUNCT
iajs-2558	80	3	θk	θk	X
iajs-2558	80	4	αk	αk	NOUN
iajs-2558	80	5	]	]	PUNCT
iajs-2558	80	6	−	−	PROPN
iajs-2558	80	7	j−1	j−1	PROPN
iajs-2558	80	8	[	[	PUNCT
iajs-2558	80	9	𝑔1(𝜃	𝑔1(𝜃	NOUN
iajs-2558	80	10	)	)	PUNCT
iajs-2558	80	11	𝑔2(α	𝑔2(α	NOUN
iajs-2558	80	12	)	)	PUNCT
iajs-2558	80	13	]	]	PUNCT
iajs-2558	80	14	where	where	SCONJ
iajs-2558	80	15	the	the	DET
iajs-2558	80	16	jacobean	jacobean	ADJ
iajs-2558	80	17	matrix	matrix	NOUN
iajs-2558	80	18	is	be	AUX
iajs-2558	80	19	as	as	SCONJ
iajs-2558	80	20	follows	follow	VERB
iajs-2558	80	21	:	:	PUNCT
iajs-2558	80	22	𝐽	𝐽	PROPN
iajs-2558	80	23	=	=	X
iajs-2558	80	24	[	[	PUNCT
iajs-2558	80	25	𝑑𝑔1(𝜃	𝑑𝑔1(𝜃	NUM
iajs-2558	80	26	)	)	PUNCT
iajs-2558	80	27	𝑑𝜃	𝑑𝜃	PROPN
iajs-2558	80	28	𝑑𝑔1(𝜃	𝑑𝑔1(𝜃	NUM
iajs-2558	80	29	)	)	PUNCT
iajs-2558	80	30	𝑑𝛼	𝑑𝛼	NOUN
iajs-2558	80	31	𝑑𝑔	𝑑𝑔	PROPN
iajs-2558	80	32	2	2	NUM
iajs-2558	80	33	(	(	PUNCT
iajs-2558	80	34	α	α	NOUN
iajs-2558	80	35	)	)	PUNCT
iajs-2558	80	36	𝑑𝜃	𝑑𝜃	PROPN
iajs-2558	80	37	𝑑𝑔	𝑑𝑔	PROPN
iajs-2558	80	38	2	2	NUM
iajs-2558	80	39	(	(	PUNCT
iajs-2558	80	40	α	α	NOUN
iajs-2558	80	41	)	)	PUNCT
iajs-2558	80	42	𝑑𝛼	𝑑𝛼	NOUN
iajs-2558	80	43	]	]	PUNCT
iajs-2558	80	44	(	(	PUNCT
iajs-2558	80	45	24	24	NUM
iajs-2558	80	46	)	)	PUNCT
iajs-2558	80	47	where	where	SCONJ
iajs-2558	80	48	j	j	PROPN
iajs-2558	80	49	is	be	AUX
iajs-2558	80	50	jacobean	jacobean	PROPN
iajs-2558	80	51	is	be	AUX
iajs-2558	80	52	a	a	DET
iajs-2558	80	53	symmetric	symmetric	ADJ
iajs-2558	80	54	and	and	CCONJ
iajs-2558	80	55	square	square	ADJ
iajs-2558	80	56	matrix	matrix	NOUN
iajs-2558	80	57	.	.	PUNCT
iajs-2558	81	1	then	then	ADV
iajs-2558	81	2	we	we	PRON
iajs-2558	81	3	find	find	VERB
iajs-2558	81	4	the	the	DET
iajs-2558	81	5	stopping	stopping	NOUN
iajs-2558	81	6	rule	rule	NOUN
iajs-2558	81	7	for	for	ADP
iajs-2558	81	8	getting	get	VERB
iajs-2558	81	9	convergence	convergence	NOUN
iajs-2558	81	10	which	which	PRON
iajs-2558	81	11	is	be	AUX
iajs-2558	81	12	as	as	SCONJ
iajs-2558	81	13	follows	follow	VERB
iajs-2558	81	14	:	:	PUNCT
iajs-2558	81	15	|	|	ADV
iajs-2558	81	16	[	[	PUNCT
iajs-2558	81	17	θk+1	θk+1	X
iajs-2558	81	18	αk+1	αk+1	NUM
iajs-2558	81	19	]	]	PUNCT
iajs-2558	81	20	−	−	PROPN
iajs-2558	82	1	[	[	PUNCT
iajs-2558	82	2	θk	θk	NOUN
iajs-2558	82	3	αk	αk	NOUN
iajs-2558	82	4	]	]	X
iajs-2558	82	5	|	|	ADV
iajs-2558	82	6	≤	≤	PUNCT
iajs-2558	82	7	|	|	ADV
iajs-2558	82	8	𝜖𝜃	𝜖𝜃	NOUN
iajs-2558	82	9	𝜖𝛼	𝜖𝛼	ADP
iajs-2558	82	10	|	|	ADV
iajs-2558	82	11	(	(	PUNCT
iajs-2558	82	12	25	25	NUM
iajs-2558	82	13	)	)	PUNCT
iajs-2558	82	14	3.2	3.2	NUM
iajs-2558	82	15	.	.	PUNCT
iajs-2558	83	1	the	the	DET
iajs-2558	83	2	ordinary	ordinary	ADJ
iajs-2558	83	3	least	least	ADJ
iajs-2558	83	4	square	square	ADJ
iajs-2558	83	5	method	method	NOUN
iajs-2558	83	6	the	the	DET
iajs-2558	83	7	least	least	ADJ
iajs-2558	83	8	squares	square	NOUN
iajs-2558	83	9	method	method	NOUN
iajs-2558	83	10	is	be	AUX
iajs-2558	83	11	a	a	DET
iajs-2558	83	12	statistical	statistical	ADJ
iajs-2558	83	13	procedure	procedure	NOUN
iajs-2558	83	14	to	to	PART
iajs-2558	83	15	find	find	VERB
iajs-2558	83	16	the	the	DET
iajs-2558	83	17	best	good	ADJ
iajs-2558	83	18	fit	fit	NOUN
iajs-2558	83	19	for	for	ADP
iajs-2558	83	20	a	a	DET
iajs-2558	83	21	set	set	NOUN
iajs-2558	83	22	of	of	ADP
iajs-2558	83	23	data	datum	NOUN
iajs-2558	83	24	points	point	NOUN
iajs-2558	83	25	by	by	ADP
iajs-2558	83	26	minimizing	minimize	VERB
iajs-2558	83	27	the	the	DET
iajs-2558	83	28	sum	sum	NOUN
iajs-2558	83	29	of	of	ADP
iajs-2558	83	30	the	the	DET
iajs-2558	83	31	offsets	offset	NOUN
iajs-2558	83	32	or	or	CCONJ
iajs-2558	83	33	residuals	residual	NOUN
iajs-2558	83	34	of	of	ADP
iajs-2558	83	35	points	point	NOUN
iajs-2558	83	36	from	from	ADP
iajs-2558	83	37	the	the	DET
iajs-2558	83	38	plotted	plot	VERB
iajs-2558	83	39	curve	curve	NOUN
iajs-2558	83	40	.	.	PUNCT
iajs-2558	84	1	least	least	ADJ
iajs-2558	84	2	squares	square	NOUN
iajs-2558	84	3	regression	regression	NOUN
iajs-2558	84	4	is	be	AUX
iajs-2558	84	5	used	use	VERB
iajs-2558	84	6	to	to	PART
iajs-2558	84	7	predict	predict	VERB
iajs-2558	84	8	the	the	DET
iajs-2558	84	9	behavior	behavior	NOUN
iajs-2558	84	10	of	of	ADP
iajs-2558	84	11	dependent	dependent	ADJ
iajs-2558	84	12	variables	variable	NOUN
iajs-2558	84	13	.	.	PUNCT
iajs-2558	85	1	𝑌𝑖	𝑌𝑖	NOUN
iajs-2558	85	2	=	=	PUNCT
iajs-2558	85	3	𝛣0	𝛣0	PROPN
iajs-2558	85	4	+	+	X
iajs-2558	85	5	𝛣1𝑥	𝛣1𝑥	PROPN
iajs-2558	85	6	+	+	CCONJ
iajs-2558	85	7	ε	ε	PROPN
iajs-2558	85	8	(	(	PUNCT
iajs-2558	85	9	26	26	NUM
iajs-2558	85	10	)	)	PUNCT
iajs-2558	85	11	where	where	SCONJ
iajs-2558	85	12	:	:	PUNCT
iajs-2558	85	13	β0	β0	NOUN
iajs-2558	85	14	represents	represent	VERB
iajs-2558	85	15	the	the	DET
iajs-2558	85	16	intercept	intercept	NOUN
iajs-2558	85	17	term	term	NOUN
iajs-2558	85	18	β1	β1	PROPN
iajs-2558	85	19	represents	represent	VERB
iajs-2558	85	20	the	the	DET
iajs-2558	85	21	slop	slop	ADJ
iajs-2558	85	22	term	term	NOUN
iajs-2558	85	23	ε	ε	PROPN
iajs-2558	85	24	represents	represent	VERB
iajs-2558	85	25	the	the	DET
iajs-2558	85	26	error	error	NOUN
iajs-2558	85	27	term	term	NOUN
iajs-2558	85	28	the	the	DET
iajs-2558	85	29	idea	idea	NOUN
iajs-2558	85	30	of	of	ADP
iajs-2558	85	31	this	this	DET
iajs-2558	85	32	method	method	NOUN
iajs-2558	85	33	is	be	AUX
iajs-2558	85	34	to	to	PART
iajs-2558	85	35	minimize	minimize	VERB
iajs-2558	85	36	the	the	DET
iajs-2558	85	37	sum	sum	NOUN
iajs-2558	85	38	of	of	ADP
iajs-2558	85	39	the	the	DET
iajs-2558	85	40	squared	square	VERB
iajs-2558	85	41	difference	difference	NOUN
iajs-2558	85	42	between	between	ADP
iajs-2558	85	43	observed	observe	VERB
iajs-2558	85	44	sample	sample	NOUN
iajs-2558	85	45	values	value	NOUN
iajs-2558	85	46	and	and	CCONJ
iajs-2558	85	47	the	the	DET
iajs-2558	85	48	estimate	estimate	NOUN
iajs-2558	85	49	expected	expect	VERB
iajs-2558	85	50	values	value	NOUN
iajs-2558	85	51	by	by	ADP
iajs-2558	85	52	linear	linear	ADJ
iajs-2558	85	53	approximation	approximation	NOUN
iajs-2558	85	54	:	:	PUNCT
iajs-2558	85	55	90	90	NUM
iajs-2558	85	56	ibn	ibn	PROPN
iajs-2558	85	57	al	al	PROPN
iajs-2558	85	58	-	-	PUNCT
iajs-2558	85	59	haitham	haitham	PROPN
iajs-2558	85	60	jour	jour	X
iajs-2558	85	61	.	.	PROPN
iajs-2558	86	1	for	for	ADP
iajs-2558	86	2	pure	pure	ADJ
iajs-2558	86	3	&	&	CCONJ
iajs-2558	86	4	appl	appl	PROPN
iajs-2558	86	5	.	.	PUNCT
iajs-2558	87	1	sci	sci	PROPN
iajs-2558	87	2	.	.	PROPN
iajs-2558	88	1	34	34	NUM
iajs-2558	88	2	(	(	PUNCT
iajs-2558	88	3	1	1	NUM
iajs-2558	88	4	)	)	PUNCT
iajs-2558	88	5	2021	2021	NUM
iajs-2558	88	6	ε	ε	PROPN
iajs-2558	88	7	=	=	SYM
iajs-2558	88	8	𝑌𝑖	𝑌𝑖	PROPN
iajs-2558	88	9	−	−	PROPN
iajs-2558	88	10	�	�	PROPN
iajs-2558	88	11	̂	̂	VERB
iajs-2558	88	12	�	�	NOUN
iajs-2558	88	13	0	0	NUM
iajs-2558	88	14	−	−	PROPN
iajs-2558	88	15	�	�	PROPN
iajs-2558	88	16	̂	̂	SYM
iajs-2558	88	17	�	�	NOUN
iajs-2558	88	18	1𝑥	1𝑥	NOUN
iajs-2558	88	19	(	(	PUNCT
iajs-2558	88	20	27	27	NUM
iajs-2558	88	21	)	)	PUNCT
iajs-2558	88	22	∑	∑	NOUN
iajs-2558	88	23	ε	ε	PROPN
iajs-2558	88	24	i	i	PRON
iajs-2558	88	25	2	2	NUM
iajs-2558	88	26	n	n	NOUN
iajs-2558	88	27	i=1	i=1	NOUN
iajs-2558	88	28	=	=	PUNCT
iajs-2558	88	29	∑[𝑦𝑖	∑[𝑦𝑖	NOUN
iajs-2558	88	30	−	−	PROPN
iajs-2558	88	31	𝐸(ŷ)2]2	𝐸(ŷ)2]2	PUNCT
iajs-2558	88	32	n	n	CCONJ
iajs-2558	88	33	i=1	i=1	PROPN
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iajs-2558	88	36	i	i	PROPN
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iajs-2558	88	39	i=1	i=1	PROPN
iajs-2558	88	40	=	=	PUNCT
iajs-2558	88	41	∑	∑	PUNCT
iajs-2558	88	42	[	[	X
iajs-2558	88	43	yi	yi	INTJ
iajs-2558	88	44	−	−	PROPN
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iajs-2558	88	46	−	−	PROPN
iajs-2558	88	47	β̂1x	β̂1x	NUM
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iajs-2558	88	49	2	2	NUM
iajs-2558	88	50	n	n	NOUN
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iajs-2558	88	55	apply	apply	VERB
iajs-2558	88	56	this	this	DET
iajs-2558	88	57	method	method	NOUN
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iajs-2558	88	59	minimize	minimize	VERB
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iajs-2558	88	63	between	between	ADP
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iajs-2558	88	85	)	)	PUNCT
iajs-2558	88	86	=	=	PUNCT
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iajs-2558	90	12	i=1	i=1	PROPN
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iajs-2558	90	22	2	2	NUM
iajs-2558	90	23	−	−	NOUN
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iajs-2558	90	25	2xi	2xi	NOUN
iajs-2558	91	1	2(α2	2(α2	PUNCT
iajs-2558	91	2	+	+	ADJ
iajs-2558	91	3	1	1	NUM
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iajs-2558	91	5	α2	α2	NOUN
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iajs-2558	92	1	−	−	PROPN
iajs-2558	93	1	i	i	PRON
iajs-2558	93	2	−	−	PROPN
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iajs-2558	94	1	n	n	NOUN
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iajs-2558	94	3	n	n	CCONJ
iajs-2558	94	4	i=1	i=1	PROPN
iajs-2558	94	5	2	2	NUM
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iajs-2558	94	11	i=1	i=1	PROPN
iajs-2558	94	12	=	=	X
iajs-2558	94	13	∑[1	∑[1	NUM
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iajs-2558	95	11	+	+	CCONJ
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iajs-2558	95	14	2	2	NUM
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iajs-2558	95	16	e−θ	e−θ	NOUN
iajs-2558	95	17	2xi	2xi	NOUN
iajs-2558	95	18	2(α2	2(α2	PUNCT
iajs-2558	96	1	+	+	ADJ
iajs-2558	96	2	1	1	NUM
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iajs-2558	96	4	α2	α2	NOUN
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iajs-2558	96	6	]	]	X
iajs-2558	96	7	2	2	NUM
iajs-2558	96	8	n	n	X
iajs-2558	96	9	i=1	i=1	PROPN
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iajs-2558	96	11	ε	ε	PROPN
iajs-2558	96	12	i	i	PROPN
iajs-2558	96	13	2	2	NUM
iajs-2558	96	14	n	n	NOUN
iajs-2558	96	15	i=1	i=1	NOUN
iajs-2558	97	1	=	=	PUNCT
iajs-2558	97	2	∑	∑	PROPN
iajs-2558	97	3	[	[	PUNCT
iajs-2558	97	4	n	n	CCONJ
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iajs-2558	98	1	i	i	PRON
iajs-2558	98	2	+	+	NUM
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iajs-2558	98	4	n	n	CCONJ
iajs-2558	98	5	−	−	PROPN
iajs-2558	98	6	(	(	PUNCT
iajs-2558	98	7	α2	α2	PROPN
iajs-2558	98	8	+	+	CCONJ
iajs-2558	98	9	1)e−	1)e−	NUM
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iajs-2558	98	11	2xi	2xi	NOUN
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iajs-2558	98	15	θ	θ	PROPN
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iajs-2558	100	2	1	1	NUM
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iajs-2558	100	4	α2	α2	PROPN
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iajs-2558	100	6	n	n	CCONJ
iajs-2558	100	7	i=1	i=1	PROPN
iajs-2558	100	8	let	let	VERB
iajs-2558	100	9	yi	yi	NOUN
iajs-2558	100	10	=	=	PUNCT
iajs-2558	101	1	n	n	CCONJ
iajs-2558	101	2	−	−	NOUN
iajs-2558	102	1	i	i	PRON
iajs-2558	102	2	+	+	NUM
iajs-2558	102	3	0.5	0.5	NUM
iajs-2558	102	4	n	n	CCONJ
iajs-2558	102	5	(	(	PUNCT
iajs-2558	102	6	29	29	NUM
iajs-2558	102	7	)	)	PUNCT
iajs-2558	102	8	d	d	NOUN
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iajs-2558	103	1	i=1	i=1	PROPN
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iajs-2558	103	4	2∑	2∑	NUM
iajs-2558	104	1	[	[	X
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iajs-2558	104	3	−	−	PROPN
iajs-2558	104	4	(	(	PUNCT
iajs-2558	104	5	α2	α2	ADJ
iajs-2558	104	6	+	+	CCONJ
iajs-2558	104	7	1)e−θ	1)e−θ	NUM
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iajs-2558	104	9	2	2	NUM
iajs-2558	104	10	−	−	NOUN
iajs-2558	104	11	e−θ	e−θ	NOUN
iajs-2558	104	12	2xi	2xi	NOUN
iajs-2558	104	13	2(α2	2(α2	PUNCT
iajs-2558	105	1	+	+	ADJ
iajs-2558	105	2	1	1	NUM
iajs-2558	105	3	)	)	PUNCT
iajs-2558	105	4	α2	α2	PROPN
iajs-2558	105	5	]	]	PUNCT
iajs-2558	106	1	∗	∗	VERB
iajs-2558	106	2	n	n	CCONJ
iajs-2558	106	3	i=1	i=1	PROPN
iajs-2558	106	4	91	91	NUM
iajs-2558	106	5	ibn	ibn	PROPN
iajs-2558	106	6	al	al	PROPN
iajs-2558	106	7	-	-	PUNCT
iajs-2558	106	8	haitham	haitham	PROPN
iajs-2558	106	9	jour	jour	X
iajs-2558	106	10	.	.	PROPN
iajs-2558	107	1	for	for	ADP
iajs-2558	107	2	pure	pure	ADJ
iajs-2558	107	3	&	&	CCONJ
iajs-2558	107	4	appl	appl	PROPN
iajs-2558	107	5	.	.	PUNCT
iajs-2558	108	1	sci	sci	PROPN
iajs-2558	108	2	.	.	PROPN
iajs-2558	109	1	34	34	NUM
iajs-2558	109	2	(	(	PUNCT
iajs-2558	109	3	1	1	NUM
iajs-2558	109	4	)	)	PUNCT
iajs-2558	109	5	2021	2021	NUM
iajs-2558	109	6	∗	∗	NOUN
iajs-2558	110	1	[	[	X
iajs-2558	110	2	0	0	NUM
iajs-2558	110	3	−	−	NOUN
iajs-2558	110	4	(	(	PUNCT
iajs-2558	110	5	1	1	NUM
iajs-2558	110	6	α2	α2	ADJ
iajs-2558	111	1	[	[	X
iajs-2558	111	2	−	−	PROPN
iajs-2558	111	3	1	1	NUM
iajs-2558	111	4	2	2	NUM
iajs-2558	111	5	xi	xi	ADP
iajs-2558	111	6	2(α2	2(α2	NUM
iajs-2558	111	7	+	+	CCONJ
iajs-2558	111	8	1)e−θ	1)e−θ	NUM
iajs-2558	111	9	2xi	2xi	NOUN
iajs-2558	111	10	2	2	NUM
iajs-2558	111	11	+	+	CCONJ
iajs-2558	111	12	1	1	NUM
iajs-2558	111	13	2	2	NUM
iajs-2558	111	14	xi	xi	ADP
iajs-2558	111	15	2(α2	2(α2	NUM
iajs-2558	111	16	+	+	CCONJ
iajs-2558	111	17	1)e−θ	1)e−θ	NUM
iajs-2558	111	18	2xi	2xi	NOUN
iajs-2558	112	1	2(α2	2(α2	PUNCT
iajs-2558	113	1	+	+	NOUN
iajs-2558	113	2	1	1	NUM
iajs-2558	113	3	)	)	PUNCT
iajs-2558	113	4	]	]	PUNCT
iajs-2558	113	5	)	)	PUNCT
iajs-2558	113	6	]	]	PUNCT
iajs-2558	114	1	𝑑	𝑑	PROPN
iajs-2558	114	2	∑	∑	PROPN
iajs-2558	114	3	ε	ε	PROPN
iajs-2558	114	4	𝑖	𝑖	NUM
iajs-2558	114	5	2𝑛	2𝑛	PROPN
iajs-2558	114	6	𝑖=1	𝑖=1	PUNCT
iajs-2558	115	1	𝑑𝜃	𝑑𝜃	PROPN
iajs-2558	115	2	=	=	SYM
iajs-2558	115	3	2∑[𝑦𝑖	2∑[𝑦𝑖	NUM
iajs-2558	115	4	−	−	PROPN
iajs-2558	115	5	(	(	PUNCT
iajs-2558	115	6	𝛼2	𝛼2	VERB
iajs-2558	115	7	+	+	CCONJ
iajs-2558	115	8	1)𝑒−𝜃	1)𝑒−𝜃	NUM
iajs-2558	115	9	2	2	NUM
iajs-2558	115	10	𝑥𝑖	𝑥𝑖	ADP
iajs-2558	115	11	2	2	NUM
iajs-2558	115	12	−	−	NOUN
iajs-2558	115	13	𝑒−𝜃	𝑒−𝜃	NOUN
iajs-2558	115	14	2	2	NUM
iajs-2558	115	15	𝑥𝑖	𝑥𝑖	ADP
iajs-2558	115	16	2(𝛼2	2(𝛼2	NUM
iajs-2558	115	17	+	+	NOUN
iajs-2558	115	18	1	1	NUM
iajs-2558	115	19	)	)	PUNCT
iajs-2558	115	20	𝛼2	𝛼2	PROPN
iajs-2558	115	21	]	]	PUNCT
iajs-2558	115	22	𝑛	𝑛	PROPN
iajs-2558	115	23	𝑖=1	𝑖=1	PROPN
iajs-2558	115	24	∗	∗	NOUN
iajs-2558	115	25	(	(	PUNCT
iajs-2558	115	26	−	−	PROPN
iajs-2558	115	27	[	[	PUNCT
iajs-2558	115	28	𝑥𝑖	𝑥𝑖	NUM
iajs-2558	115	29	2(𝛼2	2(𝛼2	NUM
iajs-2558	115	30	+	+	CCONJ
iajs-2558	115	31	1	1	NUM
iajs-2558	115	32	)	)	PUNCT
iajs-2558	115	33	2𝛼2	2𝛼2	NUM
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iajs-2558	115	38	2	2	NUM
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iajs-2558	115	41	2	2	NUM
iajs-2558	115	42	𝑥𝑖	𝑥𝑖	ADP
iajs-2558	115	43	2(𝛼2	2(𝛼2	NUM
iajs-2558	115	44	+	+	PROPN
iajs-2558	115	45	1	1	NUM
iajs-2558	115	46	)	)	PUNCT
iajs-2558	115	47	)	)	PUNCT
iajs-2558	115	48	]	]	PUNCT
iajs-2558	115	49	)	)	PUNCT
iajs-2558	116	1	𝑑	𝑑	VERB
iajs-2558	116	2	∑	∑	PROPN
iajs-2558	116	3	ε	ε	PROPN
iajs-2558	116	4	𝑖	𝑖	NUM
iajs-2558	116	5	2𝑛	2𝑛	PROPN
iajs-2558	116	6	𝑖=1	𝑖=1	PUNCT
iajs-2558	116	7	𝑑𝜃	𝑑𝜃	PROPN
iajs-2558	116	8	=	=	PUNCT
iajs-2558	116	9	∑[𝑦𝑖	∑[𝑦𝑖	NOUN
iajs-2558	116	10	−	−	PROPN
iajs-2558	116	11	(	(	PUNCT
iajs-2558	116	12	𝛼2	𝛼2	VERB
iajs-2558	116	13	+	+	CCONJ
iajs-2558	116	14	1)𝑒−𝜃	1)𝑒−𝜃	NUM
iajs-2558	116	15	2	2	NUM
iajs-2558	116	16	𝑥𝑖	𝑥𝑖	ADP
iajs-2558	116	17	2	2	NUM
iajs-2558	116	18	−	−	NOUN
iajs-2558	116	19	𝑒−𝜃	𝑒−𝜃	NOUN
iajs-2558	116	20	2	2	NUM
iajs-2558	116	21	𝑥𝑖	𝑥𝑖	ADP
iajs-2558	116	22	2(𝛼2	2(𝛼2	NUM
iajs-2558	116	23	+	+	NOUN
iajs-2558	116	24	1	1	NUM
iajs-2558	116	25	)	)	PUNCT
iajs-2558	116	26	𝛼2	𝛼2	PROPN
iajs-2558	116	27	]	]	PUNCT
iajs-2558	116	28	∗	∗	NOUN
iajs-2558	116	29	𝑛	𝑛	PROPN
iajs-2558	116	30	𝑖=1	𝑖=1	PROPN
iajs-2558	116	31	𝑥𝑖	𝑥𝑖	ADP
iajs-2558	116	32	2(𝛼2	2(𝛼2	NUM
iajs-2558	116	33	+	+	CCONJ
iajs-2558	116	34	1	1	X
iajs-2558	116	35	)	)	PUNCT
iajs-2558	116	36	𝑥2	𝑥2	NOUN
iajs-2558	116	37	∗	∗	NOUN
iajs-2558	116	38	[	[	X
iajs-2558	116	39	𝑒−𝜃	𝑒−𝜃	NOUN
iajs-2558	116	40	2	2	NUM
iajs-2558	116	41	𝑥𝑖	𝑥𝑖	ADP
iajs-2558	116	42	2	2	NUM
iajs-2558	116	43	−	−	NOUN
iajs-2558	116	44	𝑒−𝜃	𝑒−𝜃	NOUN
iajs-2558	116	45	2	2	NUM
iajs-2558	116	46	𝑥𝑖	𝑥𝑖	ADP
iajs-2558	116	47	2(𝛼2	2(𝛼2	NUM
iajs-2558	116	48	+	+	PROPN
iajs-2558	116	49	1	1	NUM
iajs-2558	116	50	)	)	PUNCT
iajs-2558	116	51	]	]	PUNCT
iajs-2558	117	1	𝑑	𝑑	PROPN
iajs-2558	117	2	∑	∑	PROPN
iajs-2558	117	3	ε	ε	PROPN
iajs-2558	117	4	𝑖	𝑖	NUM
iajs-2558	117	5	2𝑛	2𝑛	PROPN
iajs-2558	117	6	𝑖=1	𝑖=1	PUNCT
iajs-2558	117	7	𝑑𝜃	𝑑𝜃	PROPN
iajs-2558	117	8	=	=	PUNCT
iajs-2558	117	9	∑	∑	PROPN
iajs-2558	117	10	𝑥𝑖	𝑥𝑖	PROPN
iajs-2558	117	11	2(𝛼2	2(𝛼2	NUM
iajs-2558	117	12	+	+	CCONJ
iajs-2558	117	13	1	1	X
iajs-2558	117	14	)	)	PUNCT
iajs-2558	117	15	𝛼2	𝛼2	PROPN
iajs-2558	117	16	∗	∗	NOUN
iajs-2558	117	17	[	[	X
iajs-2558	117	18	𝑦𝑖	𝑦𝑖	NUM
iajs-2558	117	19	−	−	PROPN
iajs-2558	117	20	(	(	PUNCT
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iajs-2558	117	25	2	2	NUM
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iajs-2558	117	27	𝑒−𝜃	𝑒−𝜃	NOUN
iajs-2558	117	28	2𝑥𝑖	2𝑥𝑖	NOUN
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iajs-2558	118	8	𝑖=1	𝑖=1	PROPN
iajs-2558	118	9	∗	∗	NOUN
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iajs-2558	119	4	2	2	NUM
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iajs-2558	119	6	𝑒−𝜃	𝑒−𝜃	NOUN
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iajs-2558	119	8	2(𝛼2	2(𝛼2	PROPN
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iajs-2558	119	11	)	)	PUNCT
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iajs-2558	120	7	+	+	CCONJ
iajs-2558	120	8	1	1	X
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iajs-2558	121	1	[	[	X
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iajs-2558	121	4	(	(	PUNCT
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iajs-2558	121	9	xi	xi	ADP
iajs-2558	121	10	2	2	NUM
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iajs-2558	121	13	2	2	NUM
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iajs-2558	121	17	1	1	NUM
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iajs-2558	121	26	2	2	NUM
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iajs-2558	121	33	2(α2	2(α2	NUM
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iajs-2558	121	35	1	1	NUM
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iajs-2558	121	38	(	(	PUNCT
iajs-2558	121	39	30	30	NUM
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iajs-2558	122	4	2	2	NUM
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iajs-2558	122	6	=	=	PUNCT
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iajs-2558	122	9	(	(	PUNCT
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iajs-2558	122	18	θ	θ	PROPN
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iajs-2558	123	3	1	1	NUM
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iajs-2558	123	5	α2	α2	PROPN
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iajs-2558	123	8	i=1	i=1	PROPN
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iajs-2558	124	1	[	[	X
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iajs-2558	125	4	2	2	NUM
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iajs-2558	128	1	+	+	CCONJ
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iajs-2558	129	4	+	+	CCONJ
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iajs-2558	129	15	]	]	PUNCT
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iajs-2558	129	19	2	2	NUM
iajs-2558	129	20	𝛼3	𝛼3	NOUN
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iajs-2558	129	22	)	)	PUNCT
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iajs-2558	130	2	∑	∑	PUNCT
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iajs-2558	139	17	e−	e−	PROPN
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iajs-2558	141	4	α2	α2	PROPN
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iajs-2558	141	8	[	[	PUNCT
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iajs-2558	141	10	α3	α3	NOUN
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iajs-2558	146	1	+	+	NOUN
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iajs-2558	146	3	)	)	PUNCT
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iajs-2558	146	10	2	2	NUM
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iajs-2558	146	12	θα2xi	θα2xi	NOUN
iajs-2558	146	13	2	2	NUM
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iajs-2558	147	1	2(α2	2(α2	NUM
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iajs-2558	149	1	𝑔2(𝛼	𝑔2(𝛼	X
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iajs-2558	150	5	+	+	CCONJ
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iajs-2558	150	8	xi	xi	ADP
iajs-2558	150	9	2	2	NUM
iajs-2558	150	10	−	−	NOUN
iajs-2558	150	11	e−θ	e−θ	NOUN
iajs-2558	150	12	2	2	NUM
iajs-2558	150	13	xi	xi	ADP
iajs-2558	150	14	2(α2	2(α2	NUM
iajs-2558	150	15	+	+	NOUN
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iajs-2558	150	18	α2	α2	NOUN
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iajs-2558	150	20	[	[	PUNCT
iajs-2558	150	21	4𝑒−𝜃	4𝑒−𝜃	NUM
iajs-2558	150	22	2	2	NUM
iajs-2558	150	23	𝑥𝑖	𝑥𝑖	ADP
iajs-2558	150	24	2	2	NUM
iajs-2558	150	25	−	−	NOUN
iajs-2558	150	26	4𝑒−𝜃	4𝑒−𝜃	NOUN
iajs-2558	150	27	2	2	NUM
iajs-2558	150	28	𝑥𝑖	𝑥𝑖	ADP
iajs-2558	150	29	2(𝛼2	2(𝛼2	PROPN
iajs-2558	150	30	+	+	NOUN
iajs-2558	150	31	1	1	NUM
iajs-2558	150	32	)	)	PUNCT
iajs-2558	150	33	−	−	PROPN
iajs-2558	150	34	2𝜃𝛼2𝑥𝑖	2𝜃𝛼2𝑥𝑖	NUM
iajs-2558	150	35	2𝑒−𝜃	2𝑒−𝜃	NOUN
iajs-2558	150	36	2	2	NUM
iajs-2558	150	37	𝑥𝑖	𝑥𝑖	ADP
iajs-2558	150	38	2(𝛼2	2(𝛼2	PROPN
iajs-2558	150	39	+	+	NOUN
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iajs-2558	150	41	)	)	PUNCT
iajs-2558	150	42	𝛼3	𝛼3	NOUN
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iajs-2558	150	45	i=1	i=1	PROPN
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iajs-2558	150	48	)	)	PUNCT
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iajs-2558	151	5	4(α2	4(α2	NUM
iajs-2558	152	1	+	+	CCONJ
iajs-2558	152	2	1	1	X
iajs-2558	152	3	)	)	PUNCT
iajs-2558	152	4	2α2	2α2	NUM
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iajs-2558	153	1	[	[	X
iajs-2558	153	2	yi	yi	X
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iajs-2558	153	4	(	(	PUNCT
iajs-2558	153	5	α2	α2	ADJ
iajs-2558	153	6	+	+	CCONJ
iajs-2558	153	7	1)e−θ	1)e−θ	NUM
iajs-2558	153	8	2	2	NUM
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iajs-2558	153	10	2	2	NUM
iajs-2558	153	11	−	−	NOUN
iajs-2558	153	12	e−θ	e−θ	NOUN
iajs-2558	153	13	2	2	NUM
iajs-2558	153	14	xi	xi	ADP
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iajs-2558	153	16	+	+	NOUN
iajs-2558	153	17	1	1	NUM
iajs-2558	153	18	)	)	PUNCT
iajs-2558	153	19	α2	α2	NOUN
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iajs-2558	154	1	[	[	X
iajs-2558	154	2	e−θ	e−θ	ADJ
iajs-2558	154	3	2	2	NUM
iajs-2558	154	4	xi	xi	ADP
iajs-2558	154	5	2(α2	2(α2	NUM
iajs-2558	154	6	+	+	NOUN
iajs-2558	154	7	1	1	NUM
iajs-2558	154	8	)	)	PUNCT
iajs-2558	154	9	−	−	PROPN
iajs-2558	154	10	e−θ	e−θ	ADJ
iajs-2558	154	11	2	2	NUM
iajs-2558	154	12	xi	xi	ADP
iajs-2558	154	13	2	2	NUM
iajs-2558	154	14	]	]	PUNCT
iajs-2558	154	15	n	n	CCONJ
iajs-2558	154	16	i=1	i=1	X
iajs-2558	154	17	+	+	CCONJ
iajs-2558	154	18	(	(	PUNCT
iajs-2558	154	19	α2	α2	ADJ
iajs-2558	154	20	+	+	CCONJ
iajs-2558	154	21	1	1	X
iajs-2558	154	22	)	)	PUNCT
iajs-2558	154	23	α2	α2	NOUN
iajs-2558	155	1	[	[	X
iajs-2558	155	2	e−θ	e−θ	ADJ
iajs-2558	155	3	2	2	NUM
iajs-2558	155	4	xi	xi	ADP
iajs-2558	155	5	2	2	NUM
iajs-2558	155	6	−	−	NOUN
iajs-2558	155	7	e−θ	e−θ	NOUN
iajs-2558	155	8	2	2	NUM
iajs-2558	155	9	xi	xi	ADP
iajs-2558	155	10	2(α2	2(α2	NUM
iajs-2558	155	11	+	+	NOUN
iajs-2558	155	12	1	1	NUM
iajs-2558	155	13	)	)	PUNCT
iajs-2558	155	14	]	]	PUNCT
iajs-2558	155	15	2	2	X
iajs-2558	155	16	)	)	PUNCT
iajs-2558	155	17	(	(	PUNCT
iajs-2558	155	18	32	32	NUM
iajs-2558	155	19	)	)	PUNCT
iajs-2558	155	20	𝑑𝑔1	𝑑𝑔1	INTJ
iajs-2558	155	21	𝑑𝛼	𝑑𝛼	NOUN
iajs-2558	155	22	=	=	PUNCT
iajs-2558	155	23	∑	∑	PUNCT
iajs-2558	156	1	[	[	X
iajs-2558	156	2	yi	yi	X
iajs-2558	156	3	−	−	PROPN
iajs-2558	156	4	(	(	PUNCT
iajs-2558	156	5	α2	α2	ADJ
iajs-2558	156	6	+	+	CCONJ
iajs-2558	156	7	1)e−θ	1)e−θ	NUM
iajs-2558	156	8	2xi	2xi	NOUN
iajs-2558	156	9	2	2	NUM
iajs-2558	156	10	−	−	NOUN
iajs-2558	156	11	e−θ	e−θ	NOUN
iajs-2558	156	12	2xi	2xi	NOUN
iajs-2558	156	13	2(α2	2(α2	PUNCT
iajs-2558	157	1	+	+	ADJ
iajs-2558	157	2	1	1	NUM
iajs-2558	157	3	)	)	PUNCT
iajs-2558	157	4	α2	α2	NOUN
iajs-2558	157	5	]	]	PUNCT
iajs-2558	157	6	(	(	PUNCT
iajs-2558	157	7	𝜃𝛼2(𝛼2	𝜃𝛼2(𝛼2	PUNCT
iajs-2558	157	8	+	+	PUNCT
iajs-2558	157	9	1)𝑥𝑖	1)𝑥𝑖	NUM
iajs-2558	157	10	4𝑒−θ	4𝑒−θ	NUM
iajs-2558	157	11	2xi	2xi	NOUN
iajs-2558	157	12	2(𝛼2	2(𝛼2	PROPN
iajs-2558	157	13	+	+	PROPN
iajs-2558	157	14	1	1	NUM
iajs-2558	157	15	)	)	PUNCT
iajs-2558	157	16	−	−	NUM
iajs-2558	157	17	2𝑥2	2𝑥2	NUM
iajs-2558	158	1	[	[	X
iajs-2558	158	2	𝑒−θ	𝑒−θ	NOUN
iajs-2558	158	3	2xi	2xi	NOUN
iajs-2558	158	4	2	2	NUM
iajs-2558	158	5	−	−	NOUN
iajs-2558	158	6	𝑒−θ	𝑒−θ	NOUN
iajs-2558	158	7	2xi	2xi	NOUN
iajs-2558	158	8	2(𝛼2	2(𝛼2	PROPN
iajs-2558	158	9	+	+	PROPN
iajs-2558	158	10	1	1	NUM
iajs-2558	158	11	)	)	PUNCT
iajs-2558	158	12	]	]	PUNCT
iajs-2558	158	13	𝛼3	𝛼3	ADV
iajs-2558	158	14	)	)	PUNCT
iajs-2558	158	15	n	n	CCONJ
iajs-2558	158	16	i=1	i=1	PROPN
iajs-2558	159	1	+	+	X
iajs-2558	159	2	xi	xi	X
iajs-2558	159	3	2(α2	2(α2	NUM
iajs-2558	159	4	+	+	NOUN
iajs-2558	159	5	1	1	NUM
iajs-2558	159	6	)	)	PUNCT
iajs-2558	159	7	α2	α2	NOUN
iajs-2558	160	1	[	[	X
iajs-2558	160	2	e−θ	e−θ	VERB
iajs-2558	160	3	2xi	2xi	NOUN
iajs-2558	160	4	2	2	NUM
iajs-2558	160	5	−	−	NOUN
iajs-2558	160	6	e−θ	e−θ	NOUN
iajs-2558	160	7	2xi	2xi	NOUN
iajs-2558	160	8	2(α2	2(α2	PUNCT
iajs-2558	161	1	+	+	NOUN
iajs-2558	161	2	1	1	NUM
iajs-2558	161	3	)	)	PUNCT
iajs-2558	161	4	]	]	PUNCT
iajs-2558	162	1	[	[	PUNCT
iajs-2558	162	2	2𝑒	2𝑒	NUM
iajs-2558	162	3	−	−	NUM
iajs-2558	162	4	θ	θ	NOUN
iajs-2558	162	5	2xi	2xi	NOUN
iajs-2558	162	6	2	2	NUM
iajs-2558	162	7	−2𝑒	−2𝑒	PROPN
iajs-2558	162	8	−	−	PROPN
iajs-2558	162	9	θ	θ	PROPN
iajs-2558	162	10	2xi	2xi	NOUN
iajs-2558	162	11	2(𝛼2	2(𝛼2	PROPN
iajs-2558	162	12	+	+	NOUN
iajs-2558	162	13	1	1	NUM
iajs-2558	162	14	)	)	PUNCT
iajs-2558	162	15	−𝜃𝛼2𝑥2𝑒	−𝜃𝛼2𝑥2𝑒	NOUN
iajs-2558	162	16	−	−	PROPN
iajs-2558	162	17	θ	θ	PROPN
iajs-2558	162	18	2xi	2xi	NOUN
iajs-2558	162	19	2(𝛼2	2(𝛼2	PROPN
iajs-2558	162	20	+	+	NOUN
iajs-2558	162	21	1	1	NUM
iajs-2558	162	22	)	)	PUNCT
iajs-2558	162	23	𝛼3	𝛼3	NOUN
iajs-2558	162	24	]	]	PUNCT
iajs-2558	162	25	(	(	PUNCT
iajs-2558	162	26	33	33	NUM
iajs-2558	162	27	)	)	PUNCT
iajs-2558	162	28	𝑑𝑔2	𝑑𝑔2	VERB
iajs-2558	162	29	𝑑𝜃	𝑑𝜃	ADV
iajs-2558	162	30	=	=	SYM
iajs-2558	163	1	∑[yi	∑[yi	NOUN
iajs-2558	163	2	−	−	PROPN
iajs-2558	163	3	(	(	PUNCT
iajs-2558	163	4	α2	α2	ADJ
iajs-2558	163	5	+	+	CCONJ
iajs-2558	163	6	1)e−θ	1)e−θ	NUM
iajs-2558	163	7	2	2	NUM
iajs-2558	163	8	xi	xi	ADP
iajs-2558	163	9	2	2	NUM
iajs-2558	163	10	−	−	NOUN
iajs-2558	163	11	e−θ	e−θ	NOUN
iajs-2558	163	12	2	2	NUM
iajs-2558	163	13	xi	xi	ADP
iajs-2558	163	14	2(α2	2(α2	NUM
iajs-2558	163	15	+	+	NOUN
iajs-2558	163	16	1	1	NUM
iajs-2558	163	17	)	)	PUNCT
iajs-2558	163	18	α2	α2	PROPN
iajs-2558	163	19	]	]	PUNCT
iajs-2558	163	20	n	n	CCONJ
iajs-2558	163	21	i=1	i=1	PROPN
iajs-2558	163	22	(	(	PUNCT
iajs-2558	163	23	𝜃𝛼2(𝛼2	𝜃𝛼2(𝛼2	X
iajs-2558	163	24	+	+	CCONJ
iajs-2558	163	25	1)xi	1)xi	NUM
iajs-2558	163	26	4e−θ	4e−θ	ADJ
iajs-2558	163	27	2	2	NUM
iajs-2558	163	28	xi	xi	ADP
iajs-2558	163	29	2(α2	2(α2	NUM
iajs-2558	163	30	+	+	NOUN
iajs-2558	163	31	1	1	NUM
iajs-2558	163	32	)	)	PUNCT
iajs-2558	163	33	−	−	PROPN
iajs-2558	164	1	2𝑥𝑖	2𝑥𝑖	ADJ
iajs-2558	164	2	2	2	NUM
iajs-2558	164	3	[	[	X
iajs-2558	164	4	e−θ	e−θ	ADJ
iajs-2558	164	5	2	2	NUM
iajs-2558	164	6	xi	xi	ADP
iajs-2558	164	7	2	2	NUM
iajs-2558	164	8	−	−	NOUN
iajs-2558	164	9	e−θ	e−θ	NOUN
iajs-2558	164	10	2	2	NUM
iajs-2558	164	11	xi	xi	ADP
iajs-2558	164	12	2(α2	2(α2	NUM
iajs-2558	164	13	+	+	NOUN
iajs-2558	164	14	1	1	NUM
iajs-2558	164	15	)	)	PUNCT
iajs-2558	164	16	]	]	PUNCT
iajs-2558	164	17	𝛼3	𝛼3	ADV
iajs-2558	164	18	)	)	PUNCT
iajs-2558	165	1	+	+	CCONJ
iajs-2558	165	2	xi	xi	X
iajs-2558	165	3	2(α2	2(α2	NUM
iajs-2558	166	1	+	+	CCONJ
iajs-2558	166	2	1	1	X
iajs-2558	166	3	)	)	PUNCT
iajs-2558	166	4	α2	α2	NOUN
iajs-2558	166	5	[	[	PUNCT
iajs-2558	166	6	2𝑒−𝜃	2𝑒−𝜃	NOUN
iajs-2558	166	7	2	2	NUM
iajs-2558	166	8	𝑥𝑖	𝑥𝑖	ADP
iajs-2558	166	9	2	2	NUM
iajs-2558	166	10	−	−	NOUN
iajs-2558	166	11	2𝑒−𝜃	2𝑒−𝜃	NOUN
iajs-2558	166	12	2	2	NUM
iajs-2558	166	13	𝑥𝑖	𝑥𝑖	ADP
iajs-2558	166	14	2(𝛼2	2(𝛼2	PROPN
iajs-2558	166	15	+	+	PROPN
iajs-2558	166	16	1	1	NUM
iajs-2558	166	17	)	)	PUNCT
iajs-2558	166	18	−	−	NOUN
iajs-2558	166	19	𝜃𝛼2𝑥𝑖	𝜃𝛼2𝑥𝑖	NUM
iajs-2558	166	20	2𝑒−𝜃	2𝑒−𝜃	NOUN
iajs-2558	166	21	2	2	NUM
iajs-2558	166	22	𝑥𝑖	𝑥𝑖	ADP
iajs-2558	166	23	2(𝛼2	2(𝛼2	PROPN
iajs-2558	166	24	+	+	NOUN
iajs-2558	166	25	1	1	NUM
iajs-2558	166	26	)	)	PUNCT
iajs-2558	166	27	𝛼3	𝛼3	NOUN
iajs-2558	166	28	]	]	PUNCT
iajs-2558	167	1	[	[	X
iajs-2558	167	2	e−θ	e−θ	ADJ
iajs-2558	167	3	2	2	NUM
iajs-2558	167	4	xi	xi	ADP
iajs-2558	167	5	2	2	NUM
iajs-2558	167	6	−	−	NOUN
iajs-2558	167	7	e−θ	e−θ	NOUN
iajs-2558	167	8	2	2	NUM
iajs-2558	167	9	xi	xi	ADP
iajs-2558	167	10	2(α2	2(α2	NUM
iajs-2558	167	11	+	+	NOUN
iajs-2558	167	12	1	1	NUM
iajs-2558	167	13	)	)	PUNCT
iajs-2558	167	14	]	]	PUNCT
iajs-2558	167	15	(	(	PUNCT
iajs-2558	167	16	34	34	NUM
iajs-2558	167	17	)	)	PUNCT
iajs-2558	167	18	𝑑𝑔2	𝑑𝑔2	VERB
iajs-2558	167	19	𝑑𝛼	𝑑𝛼	ADV
iajs-2558	168	1	=	=	PUNCT
iajs-2558	168	2	∑	∑	PUNCT
iajs-2558	168	3	[	[	X
iajs-2558	168	4	yi	yi	X
iajs-2558	168	5	−	−	PROPN
iajs-2558	168	6	(	(	PUNCT
iajs-2558	168	7	α2	α2	PROPN
iajs-2558	168	8	+	+	CCONJ
iajs-2558	168	9	1)e−	1)e−	NUM
iajs-2558	168	10	θ	θ	NOUN
iajs-2558	168	11	2xi	2xi	NOUN
iajs-2558	168	12	2	2	NUM
iajs-2558	168	13	−	−	NOUN
iajs-2558	168	14	e−	e−	PROPN
iajs-2558	168	15	θ	θ	PROPN
iajs-2558	168	16	2xi	2xi	NOUN
iajs-2558	169	1	2(α2	2(α2	PUNCT
iajs-2558	170	1	+	+	ADJ
iajs-2558	170	2	1	1	NUM
iajs-2558	170	3	)	)	PUNCT
iajs-2558	170	4	α2	α2	PROPN
iajs-2558	170	5	]	]	PUNCT
iajs-2558	170	6	n	n	CCONJ
iajs-2558	170	7	i=1	i=1	PROPN
iajs-2558	170	8	(	(	PUNCT
iajs-2558	170	9	2θ2𝛼2𝑥𝑖	2θ2𝛼2𝑥𝑖	NUM
iajs-2558	170	10	4e−θ	4e−θ	NOUN
iajs-2558	170	11	2	2	NUM
iajs-2558	170	12	xi	xi	ADP
iajs-2558	170	13	2(α2	2(α2	NUM
iajs-2558	170	14	+	+	NOUN
iajs-2558	170	15	1	1	NUM
iajs-2558	170	16	)	)	PUNCT
iajs-2558	170	17	−	−	NOUN
iajs-2558	170	18	3	3	NUM
iajs-2558	171	1	[	[	X
iajs-2558	171	2	4e−θ	4e−θ	ADJ
iajs-2558	171	3	2	2	NUM
iajs-2558	171	4	xi	xi	ADP
iajs-2558	171	5	2	2	NUM
iajs-2558	171	6	−	−	NUM
iajs-2558	171	7	4e−θ	4e−θ	NOUN
iajs-2558	171	8	2	2	NUM
iajs-2558	171	9	xi	xi	ADP
iajs-2558	171	10	2(α2	2(α2	NUM
iajs-2558	171	11	+	+	NOUN
iajs-2558	171	12	1	1	NUM
iajs-2558	171	13	)	)	PUNCT
iajs-2558	171	14	−	−	NOUN
iajs-2558	172	1	2θ2𝛼2𝑥𝑖	2θ2𝛼2𝑥𝑖	NUM
iajs-2558	172	2	2e−θ	2e−θ	NUM
iajs-2558	172	3	2	2	NUM
iajs-2558	172	4	xi	xi	ADP
iajs-2558	172	5	2(α2	2(α2	NUM
iajs-2558	172	6	+	+	NOUN
iajs-2558	172	7	1	1	NUM
iajs-2558	172	8	)	)	PUNCT
iajs-2558	172	9	]	]	PUNCT
iajs-2558	172	10	𝛼4	𝛼4	NOUN
iajs-2558	172	11	)	)	PUNCT
iajs-2558	172	12	(	(	PUNCT
iajs-2558	172	13	35	35	NUM
iajs-2558	172	14	)	)	PUNCT
iajs-2558	172	15	+	+	CCONJ
iajs-2558	172	16	[	[	PUNCT
iajs-2558	172	17	4𝑒−𝜃	4𝑒−𝜃	NUM
iajs-2558	172	18	2𝑥𝑖	2𝑥𝑖	ADJ
iajs-2558	172	19	2	2	NUM
iajs-2558	172	20	−	−	NOUN
iajs-2558	172	21	4𝑒−𝜃	4𝑒−𝜃	NOUN
iajs-2558	172	22	2𝑥𝑖	2𝑥𝑖	NOUN
iajs-2558	172	23	2(𝛼2	2(𝛼2	PROPN
iajs-2558	172	24	+	+	PROPN
iajs-2558	172	25	1	1	NUM
iajs-2558	172	26	)	)	PUNCT
iajs-2558	172	27	−	−	PROPN
iajs-2558	172	28	2𝜃𝛼2𝑥𝑖	2𝜃𝛼2𝑥𝑖	NUM
iajs-2558	172	29	2𝑒−𝜃	2𝑒−𝜃	NOUN
iajs-2558	172	30	2𝑥𝑖	2𝑥𝑖	NOUN
iajs-2558	172	31	2(𝛼2	2(𝛼2	PROPN
iajs-2558	172	32	+	+	NOUN
iajs-2558	172	33	1	1	NUM
iajs-2558	172	34	)	)	PUNCT
iajs-2558	172	35	𝛼3	𝛼3	NOUN
iajs-2558	172	36	]	]	PUNCT
iajs-2558	172	37	[	[	PUNCT
iajs-2558	172	38	2𝑒−𝜃	2𝑒−𝜃	NOUN
iajs-2558	172	39	2𝑥𝑖	2𝑥𝑖	ADJ
iajs-2558	172	40	2	2	NUM
iajs-2558	172	41	−	−	NOUN
iajs-2558	172	42	2𝑒−𝜃	2𝑒−𝜃	NOUN
iajs-2558	172	43	2𝑥𝑖	2𝑥𝑖	NOUN
iajs-2558	172	44	2(𝛼2	2(𝛼2	PROPN
iajs-2558	172	45	+	+	NOUN
iajs-2558	172	46	1	1	NUM
iajs-2558	172	47	)	)	PUNCT
iajs-2558	173	1	+	+	CCONJ
iajs-2558	173	2	𝛼𝑒−𝜃	𝛼𝑒−𝜃	NOUN
iajs-2558	173	3	2𝑥𝑖	2𝑥𝑖	ADJ
iajs-2558	173	4	2(𝛼2	2(𝛼2	PROPN
iajs-2558	173	5	+	+	NOUN
iajs-2558	173	6	1	1	NUM
iajs-2558	173	7	)	)	PUNCT
iajs-2558	173	8	𝛼3	𝛼3	NOUN
iajs-2558	173	9	]	]	PUNCT
iajs-2558	173	10	93	93	NUM
iajs-2558	173	11	ibn	ibn	PROPN
iajs-2558	173	12	al	al	PROPN
iajs-2558	173	13	-	-	PUNCT
iajs-2558	173	14	haitham	haitham	PROPN
iajs-2558	173	15	jour	jour	X
iajs-2558	173	16	.	.	PROPN
iajs-2558	174	1	for	for	ADP
iajs-2558	174	2	pure	pure	ADJ
iajs-2558	174	3	&	&	CCONJ
iajs-2558	174	4	appl	appl	PROPN
iajs-2558	174	5	.	.	PUNCT
iajs-2558	175	1	sci	sci	PROPN
iajs-2558	175	2	.	.	PROPN
iajs-2558	176	1	34	34	NUM
iajs-2558	176	2	(	(	PUNCT
iajs-2558	176	3	1	1	NUM
iajs-2558	176	4	)	)	PUNCT
iajs-2558	176	5	2021	2021	NUM
iajs-2558	176	6	[	[	PUNCT
iajs-2558	176	7	θk+1	θk+1	NUM
iajs-2558	176	8	αk+1	αk+1	NUM
iajs-2558	176	9	]	]	PUNCT
iajs-2558	176	10	=	=	PUNCT
iajs-2558	176	11	[	[	PUNCT
iajs-2558	176	12	θk	θk	X
iajs-2558	176	13	αk	αk	NOUN
iajs-2558	176	14	]	]	PUNCT
iajs-2558	176	15	−	−	PROPN
iajs-2558	177	1	j−1	j−1	PROPN
iajs-2558	177	2	[	[	PUNCT
iajs-2558	177	3	𝑔1(𝜃	𝑔1(𝜃	NOUN
iajs-2558	177	4	)	)	PUNCT
iajs-2558	177	5	𝑔2(𝛼	𝑔2(𝛼	PROPN
iajs-2558	177	6	)	)	PUNCT
iajs-2558	177	7	]	]	PUNCT
iajs-2558	177	8	(	(	PUNCT
iajs-2558	177	9	36	36	NUM
iajs-2558	177	10	)	)	PUNCT
iajs-2558	177	11	𝐽−1	𝐽−1	NOUN
iajs-2558	178	1	=	=	PUNCT
iajs-2558	178	2	[	[	PUNCT
iajs-2558	178	3	𝑑𝑔1	𝑑𝑔1	INTJ
iajs-2558	178	4	𝑑𝜃	𝑑𝜃	PROPN
iajs-2558	178	5	𝑑𝑔1	𝑑𝑔1	VERB
iajs-2558	178	6	𝑑𝛼	𝑑𝛼	PRON
iajs-2558	178	7	𝑑𝑔2	𝑑𝑔2	VERB
iajs-2558	178	8	𝑑𝜃	𝑑𝜃	PROPN
iajs-2558	178	9	𝑑𝑔2	𝑑𝑔2	VERB
iajs-2558	178	10	𝑑𝛼	𝑑𝛼	X
iajs-2558	178	11	]	]	PUNCT
iajs-2558	178	12	−1	−1	NOUN
iajs-2558	178	13	(	(	PUNCT
iajs-2558	178	14	37	37	NUM
iajs-2558	178	15	)	)	PUNCT
iajs-2558	178	16	symmetric	symmetric	ADJ
iajs-2558	178	17	and	and	CCONJ
iajs-2558	178	18	square	square	ADJ
iajs-2558	178	19	,	,	PUNCT
iajs-2558	178	20	where	where	SCONJ
iajs-2558	178	21	:	:	PUNCT
iajs-2558	178	22	the	the	DET
iajs-2558	178	23	jacobean	jacobean	PROPN
iajs-2558	178	24	matrix	matrix	NOUN
iajs-2558	178	25	is	be	AUX
iajs-2558	178	26	𝑑𝑔1	𝑑𝑔1	VERB
iajs-2558	178	27	𝑑𝛼	𝑑𝛼	ADP
iajs-2558	178	28	=	=	NOUN
iajs-2558	178	29	𝑑𝑔2	𝑑𝑔2	X
iajs-2558	178	30	𝑑𝜃	𝑑𝜃	PROPN
iajs-2558	178	31	then	then	ADV
iajs-2558	178	32	we	we	PRON
iajs-2558	178	33	can	can	AUX
iajs-2558	178	34	terminate	terminate	VERB
iajs-2558	178	35	and	and	CCONJ
iajs-2558	178	36	stop	stop	VERB
iajs-2558	178	37	when	when	SCONJ
iajs-2558	178	38	:	:	PUNCT
iajs-2558	178	39	|	|	ADV
iajs-2558	178	40	[	[	PUNCT
iajs-2558	178	41	θk+1	θk+1	X
iajs-2558	178	42	αk+1	αk+1	NUM
iajs-2558	178	43	]	]	PUNCT
iajs-2558	178	44	−	−	PROPN
iajs-2558	179	1	[	[	PUNCT
iajs-2558	179	2	θk	θk	NOUN
iajs-2558	179	3	αk	αk	NOUN
iajs-2558	179	4	]	]	X
iajs-2558	179	5	|	|	ADV
iajs-2558	179	6	≤	≤	PUNCT
iajs-2558	179	7	|	|	ADV
iajs-2558	179	8	ε	ε	PROPN
iajs-2558	179	9	𝜃	𝜃	NUM
iajs-2558	179	10	ε	ε	PROPN
iajs-2558	179	11	𝛼	𝛼	PRON
iajs-2558	179	12	|	|	ADV
iajs-2558	179	13	(	(	PUNCT
iajs-2558	179	14	38	38	NUM
iajs-2558	179	15	)	)	PUNCT
iajs-2558	179	16	4	4	NUM
iajs-2558	179	17	.	.	X
iajs-2558	179	18	real	real	ADJ
iajs-2558	179	19	data	datum	NOUN
iajs-2558	179	20	application	application	NOUN
iajs-2558	179	21	in	in	ADP
iajs-2558	179	22	this	this	DET
iajs-2558	179	23	section	section	NOUN
iajs-2558	179	24	,	,	PUNCT
iajs-2558	179	25	real	real	ADJ
iajs-2558	179	26	data	datum	NOUN
iajs-2558	179	27	for	for	ADP
iajs-2558	179	28	brain	brain	NOUN
iajs-2558	179	29	cancer	cancer	NOUN
iajs-2558	179	30	disease	disease	NOUN
iajs-2558	179	31	is	be	AUX
iajs-2558	179	32	analyzed	analyze	VERB
iajs-2558	179	33	because	because	SCONJ
iajs-2558	179	34	it	it	PRON
iajs-2558	179	35	is	be	AUX
iajs-2558	179	36	widespread	widespread	ADJ
iajs-2558	179	37	and	and	CCONJ
iajs-2558	179	38	deadly	deadly	ADJ
iajs-2558	179	39	in	in	ADP
iajs-2558	179	40	iraq	iraq	PROPN
iajs-2558	179	41	;	;	PUNCT
iajs-2558	179	42	the	the	DET
iajs-2558	179	43	time	time	NOUN
iajs-2558	179	44	from	from	ADP
iajs-2558	179	45	infection	infection	NOUN
iajs-2558	179	46	to	to	ADP
iajs-2558	179	47	death	death	NOUN
iajs-2558	179	48	was	be	AUX
iajs-2558	179	49	registered	register	VERB
iajs-2558	179	50	for	for	ADP
iajs-2558	179	51	period	period	NOUN
iajs-2558	179	52	from	from	ADP
iajs-2558	179	53	1/1/2018	1/1/2018	NUM
iajs-2558	179	54	to	to	ADP
iajs-2558	179	55	31/12/2018	31/12/2018	NUM
iajs-2558	179	56	at	at	ADP
iajs-2558	179	57	republic	republic	NOUN
iajs-2558	179	58	of	of	ADP
iajs-2558	179	59	iraq	iraq	PROPN
iajs-2558	179	60	/	/	SYM
iajs-2558	179	61	ministry	ministry	PROPN
iajs-2558	179	62	of	of	ADP
iajs-2558	179	63	health	health	PROPN
iajs-2558	179	64	/	/	SYM
iajs-2558	179	65	medical	medical	ADJ
iajs-2558	179	66	city	city	NOUN
iajs-2558	179	67	.	.	PUNCT
iajs-2558	180	1	the	the	DET
iajs-2558	180	2	data	datum	NOUN
iajs-2558	180	3	of	of	ADP
iajs-2558	180	4	size	size	NOUN
iajs-2558	180	5	(	(	PUNCT
iajs-2558	180	6	111	111	NUM
iajs-2558	180	7	)	)	PUNCT
iajs-2558	180	8	patients	patient	NOUN
iajs-2558	180	9	are	be	AUX
iajs-2558	180	10	considered	consider	VERB
iajs-2558	180	11	as	as	ADP
iajs-2558	180	12	complete	complete	ADJ
iajs-2558	180	13	data	datum	NOUN
iajs-2558	180	14	set	set	VERB
iajs-2558	180	15	.	.	PUNCT
iajs-2558	180	16	x=	x=	PUNCT
iajs-2558	181	1	{	{	PUNCT
iajs-2558	181	2	23	23	NUM
iajs-2558	181	3	10	10	NUM
iajs-2558	181	4	14	14	NUM
iajs-2558	181	5	4	4	NUM
iajs-2558	181	6	14	14	NUM
iajs-2558	181	7	11	11	NUM
iajs-2558	181	8	20	20	NUM
iajs-2558	181	9	15	15	NUM
iajs-2558	181	10	20	20	NUM
iajs-2558	181	11	9	9	NUM
iajs-2558	181	12	7	7	NUM
iajs-2558	181	13	15	15	NUM
iajs-2558	181	14	10	10	NUM
iajs-2558	181	15	16	16	NUM
iajs-2558	181	16	12	12	NUM
iajs-2558	181	17	7	7	NUM
iajs-2558	181	18	11	11	NUM
iajs-2558	181	19	15	15	NUM
iajs-2558	181	20	16	16	NUM
iajs-2558	181	21	13	13	NUM
iajs-2558	181	22	14	14	NUM
iajs-2558	181	23	15	15	NUM
iajs-2558	181	24	12	12	NUM
iajs-2558	181	25	9	9	NUM
iajs-2558	181	26	14	14	NUM
iajs-2558	181	27	14	14	NUM
iajs-2558	181	28	21	21	NUM
iajs-2558	181	29	28	28	NUM
iajs-2558	181	30	16	16	NUM
iajs-2558	181	31	16	16	NUM
iajs-2558	181	32	10	10	NUM
iajs-2558	181	33	5	5	NUM
iajs-2558	181	34	5	5	NUM
iajs-2558	181	35	13	13	NUM
iajs-2558	181	36	17	17	NUM
iajs-2558	181	37	9	9	NUM
iajs-2558	181	38	9	9	NUM
iajs-2558	181	39	9	9	NUM
iajs-2558	181	40	9	9	NUM
iajs-2558	181	41	22	22	NUM
iajs-2558	181	42	10	10	NUM
iajs-2558	181	43	13	13	NUM
iajs-2558	181	44	18	18	NUM
iajs-2558	181	45	22	22	NUM
iajs-2558	181	46	8	8	NUM
iajs-2558	181	47	19	19	NUM
iajs-2558	181	48	20	20	NUM
iajs-2558	181	49	10	10	NUM
iajs-2558	181	50	6	6	NUM
iajs-2558	181	51	12	12	NUM
iajs-2558	181	52	10	10	NUM
iajs-2558	181	53	20	20	NUM
iajs-2558	181	54	5	5	NUM
iajs-2558	181	55	12	12	NUM
iajs-2558	181	56	10	10	NUM
iajs-2558	181	57	26	26	NUM
iajs-2558	181	58	8	8	NUM
iajs-2558	181	59	9	9	NUM
iajs-2558	181	60	21	21	NUM
iajs-2558	181	61	12	12	NUM
iajs-2558	181	62	16	16	NUM
iajs-2558	181	63	12	12	NUM
iajs-2558	181	64	14	14	NUM
iajs-2558	181	65	14	14	NUM
iajs-2558	181	66	19	19	NUM
iajs-2558	181	67	17	17	NUM
iajs-2558	181	68	28	28	NUM
iajs-2558	181	69	6	6	NUM
iajs-2558	181	70	10	10	NUM
iajs-2558	181	71	5	5	NUM
iajs-2558	181	72	20	20	NUM
iajs-2558	181	73	6	6	NUM
iajs-2558	181	74	8	8	NUM
iajs-2558	181	75	11	11	NUM
iajs-2558	181	76	14	14	NUM
iajs-2558	181	77	17	17	NUM
iajs-2558	181	78	9	9	NUM
iajs-2558	181	79	18	18	NUM
iajs-2558	181	80	24	24	NUM
iajs-2558	181	81	9	9	NUM
iajs-2558	181	82	10	10	NUM
iajs-2558	181	83	9	9	NUM
iajs-2558	181	84	10	10	NUM
iajs-2558	181	85	14	14	NUM
iajs-2558	181	86	14	14	NUM
iajs-2558	181	87	8	8	NUM
iajs-2558	181	88	16	16	NUM
iajs-2558	181	89	8	8	NUM
iajs-2558	181	90	8	8	NUM
iajs-2558	181	91	7	7	NUM
iajs-2558	181	92	13	13	NUM
iajs-2558	181	93	11	11	NUM
iajs-2558	181	94	5	5	NUM
iajs-2558	181	95	14	14	NUM
iajs-2558	181	96	24	24	NUM
iajs-2558	181	97	7	7	NUM
iajs-2558	181	98	11	11	NUM
iajs-2558	181	99	15	15	NUM
iajs-2558	181	100	2	2	NUM
iajs-2558	181	101	18	18	NUM
iajs-2558	181	102	10	10	NUM
iajs-2558	181	103	11	11	NUM
iajs-2558	181	104	15	15	NUM
iajs-2558	181	105	20	20	NUM
iajs-2558	181	106	28	28	NUM
iajs-2558	181	107	14	14	NUM
iajs-2558	181	108	19	19	NUM
iajs-2558	181	109	9	9	NUM
iajs-2558	181	110	15	15	NUM
iajs-2558	181	111	7	7	NUM
iajs-2558	181	112	9	9	NUM
iajs-2558	181	113	}	}	PUNCT
iajs-2558	181	114	.	.	PUNCT
iajs-2558	182	1	after	after	ADP
iajs-2558	182	2	applying	apply	VERB
iajs-2558	182	3	the	the	DET
iajs-2558	182	4	chi	chi	PROPN
iajs-2558	182	5	square	square	PROPN
iajs-2558	182	6	goodness	goodness	NOUN
iajs-2558	182	7	of	of	ADP
iajs-2558	182	8	fit	fit	ADJ
iajs-2558	182	9	to	to	PART
iajs-2558	182	10	test	test	VERB
iajs-2558	182	11	the	the	DET
iajs-2558	182	12	hypothesis	hypothesis	NOUN
iajs-2558	182	13	:	:	PUNCT
iajs-2558	182	14	𝐻0	𝐻0	PROPN
iajs-2558	182	15	=	=	PUNCT
iajs-2558	182	16	𝑡ℎ𝑒	𝑡ℎ𝑒	PROPN
iajs-2558	182	17	𝑑𝑎𝑡𝑎	𝑑𝑎𝑡𝑎	NOUN
iajs-2558	182	18	𝑖𝑠	𝑖𝑠	INTJ
iajs-2558	182	19	𝑑𝑖𝑠𝑡𝑟𝑖𝑏𝑢𝑡𝑒𝑑	𝑑𝑖𝑠𝑡𝑟𝑖𝑏𝑢𝑡𝑒𝑑	NOUN
iajs-2558	182	20	𝑎𝑠	𝑎𝑠	ADP
iajs-2558	182	21	𝑤𝑒𝑖𝑔ℎ𝑡𝑒𝑑	𝑤𝑒𝑖𝑔ℎ𝑡𝑒𝑑	ADJ
iajs-2558	182	22	𝑅𝑎𝑦𝑙𝑒𝑖𝑔ℎ	𝑅𝑎𝑦𝑙𝑒𝑖𝑔ℎ	PROPN
iajs-2558	182	23	𝑑𝑖𝑠𝑡𝑟𝑖𝑏𝑢𝑡𝑖𝑜𝑛.	𝑑𝑖𝑠𝑡𝑟𝑖𝑏𝑢𝑡𝑖𝑜𝑛.	NOUN
iajs-2558	182	24	𝐻1	𝐻1	NOUN
iajs-2558	182	25	=	=	SYM
iajs-2558	182	26	𝑡ℎ𝑒	𝑡ℎ𝑒	NUM
iajs-2558	182	27	𝑑𝑎𝑡𝑎	𝑑𝑎𝑡𝑎	VERB
iajs-2558	182	28	𝑛𝑜𝑡	𝑛𝑜𝑡	NOUN
iajs-2558	182	29	𝑑𝑖𝑠𝑡𝑟𝑖𝑏𝑢𝑡𝑒𝑑	𝑑𝑖𝑠𝑡𝑟𝑖𝑏𝑢𝑡𝑒𝑑	NOUN
iajs-2558	182	30	𝑎𝑠	𝑎𝑠	PROPN
iajs-2558	182	31	𝑤𝑒𝑖𝑔ℎ𝑡𝑒𝑑	𝑤𝑒𝑖𝑔ℎ𝑡𝑒𝑑	ADJ
iajs-2558	182	32	𝑅𝑎𝑦𝑙𝑒𝑖𝑔ℎ	𝑅𝑎𝑦𝑙𝑒𝑖𝑔ℎ	PROPN
iajs-2558	182	33	𝑑𝑖𝑠𝑡𝑟𝑖𝑏𝑢𝑡𝑖𝑜𝑛.	𝑑𝑖𝑠𝑡𝑟𝑖𝑏𝑢𝑡𝑖𝑜𝑛.	NOUN
iajs-2558	182	34	where	where	SCONJ
iajs-2558	182	35	the	the	DET
iajs-2558	182	36	chi	chi	PROPN
iajs-2558	182	37	square	square	PROPN
iajs-2558	182	38	goodness	goodness	NOUN
iajs-2558	182	39	of	of	ADP
iajs-2558	182	40	fit	fit	ADJ
iajs-2558	182	41	statistic	statistic	NOUN
iajs-2558	182	42	depends	depend	VERB
iajs-2558	182	43	on	on	ADP
iajs-2558	182	44	the	the	DET
iajs-2558	182	45	differences	difference	NOUN
iajs-2558	182	46	of	of	ADP
iajs-2558	182	47	the	the	DET
iajs-2558	182	48	theoretical	theoretical	ADJ
iajs-2558	182	49	frequencies	frequency	NOUN
iajs-2558	182	50	under	under	ADP
iajs-2558	182	51	the	the	DET
iajs-2558	182	52	assumed	assumed	ADJ
iajs-2558	182	53	distribution	distribution	NOUN
iajs-2558	182	54	and	and	CCONJ
iajs-2558	182	55	observed	observe	VERB
iajs-2558	182	56	differences	difference	NOUN
iajs-2558	182	57	from	from	ADP
iajs-2558	182	58	data	datum	NOUN
iajs-2558	182	59	and	and	CCONJ
iajs-2558	182	60	we	we	PRON
iajs-2558	182	61	applying	apply	VERB
iajs-2558	182	62	the	the	DET
iajs-2558	182	63	formula	formula	NOUN
iajs-2558	182	64	:	:	PUNCT
iajs-2558	182	65	𝑋2	𝑋2	VERB
iajs-2558	182	66	=	=	SYM
iajs-2558	182	67	∑	∑	PUNCT
iajs-2558	182	68	(	(	PUNCT
iajs-2558	182	69	𝑂𝑖−𝐸𝑖	𝑂𝑖−𝐸𝑖	VERB
iajs-2558	182	70	)	)	PUNCT
iajs-2558	182	71	2	2	NUM
iajs-2558	182	72	𝐸𝑖	𝐸𝑖	PROPN
iajs-2558	182	73	𝑁	𝑁	PROPN
iajs-2558	182	74	𝑖=1	𝑖=1	PROPN
iajs-2558	182	75	(	(	PUNCT
iajs-2558	182	76	39	39	NUM
iajs-2558	182	77	)	)	PUNCT
iajs-2558	182	78	94	94	NUM
iajs-2558	182	79	ibn	ibn	PROPN
iajs-2558	182	80	al	al	PROPN
iajs-2558	182	81	-	-	PUNCT
iajs-2558	182	82	haitham	haitham	PROPN
iajs-2558	182	83	jour	jour	X
iajs-2558	182	84	.	.	PROPN
iajs-2558	183	1	for	for	ADP
iajs-2558	183	2	pure	pure	ADJ
iajs-2558	183	3	&	&	CCONJ
iajs-2558	183	4	appl	appl	PROPN
iajs-2558	183	5	.	.	PUNCT
iajs-2558	184	1	sci	sci	PROPN
iajs-2558	184	2	.	.	PROPN
iajs-2558	185	1	34	34	NUM
iajs-2558	185	2	(	(	PUNCT
iajs-2558	185	3	1	1	NUM
iajs-2558	185	4	)	)	PUNCT
iajs-2558	185	5	2021	2021	NUM
iajs-2558	185	6	we	we	PRON
iajs-2558	185	7	apply	apply	VERB
iajs-2558	185	8	the	the	DET
iajs-2558	185	9	chi	chi	PROPN
iajs-2558	185	10	square	square	PROPN
iajs-2558	185	11	goodness	goodness	NOUN
iajs-2558	185	12	of	of	ADP
iajs-2558	185	13	fit	fit	ADJ
iajs-2558	185	14	to	to	ADP
iajs-2558	185	15	the	the	DET
iajs-2558	185	16	data	datum	NOUN
iajs-2558	185	17	to	to	PART
iajs-2558	185	18	get	get	VERB
iajs-2558	185	19	:	:	PUNCT
iajs-2558	185	20	the	the	DET
iajs-2558	185	21	calculate	calculate	NOUN
iajs-2558	185	22	chi	chi	PROPN
iajs-2558	185	23	square	square	PROPN
iajs-2558	185	24	test	test	NOUN
iajs-2558	185	25	=	=	NOUN
iajs-2558	186	1	4.2963	4.2963	NUM
iajs-2558	186	2	the	the	DET
iajs-2558	186	3	calculate	calculate	NOUN
iajs-2558	186	4	chi	chi	PROPN
iajs-2558	186	5	square	square	PROPN
iajs-2558	186	6	test	test	NOUN
iajs-2558	186	7	=	=	SYM
iajs-2558	186	8	35.17	35.17	NUM
iajs-2558	186	9	calculate	calculate	NOUN
iajs-2558	186	10	chisquare	chisquare	NOUN
iajs-2558	186	11	<	<	X
iajs-2558	186	12	tabulate	tabulate	ADJ
iajs-2558	186	13	chi	chi	ADJ
iajs-2558	186	14	-	-	PUNCT
iajs-2558	186	15	square	square	NOUN
iajs-2558	186	16	.	.	PUNCT
iajs-2558	187	1	we	we	PRON
iajs-2558	187	2	accept	accept	VERB
iajs-2558	187	3	𝐻0	𝐻0	PROPN
iajs-2558	187	4	which	which	PRON
iajs-2558	187	5	means	mean	VERB
iajs-2558	187	6	the	the	DET
iajs-2558	187	7	data	datum	NOUN
iajs-2558	187	8	are	be	AUX
iajs-2558	187	9	distributed	distribute	VERB
iajs-2558	187	10	as	as	ADP
iajs-2558	187	11	weighted	weight	VERB
iajs-2558	187	12	rayleigh	rayleigh	ADJ
iajs-2558	187	13	distribution	distribution	NOUN
iajs-2558	187	14	.	.	PUNCT
iajs-2558	188	1	we	we	PRON
iajs-2558	188	2	apply	apply	VERB
iajs-2558	188	3	the	the	DET
iajs-2558	188	4	equation	equation	NOUN
iajs-2558	188	5	(	(	PUNCT
iajs-2558	188	6	23	23	NUM
iajs-2558	188	7	)	)	PUNCT
iajs-2558	188	8	and	and	CCONJ
iajs-2558	188	9	(	(	PUNCT
iajs-2558	188	10	25	25	NUM
iajs-2558	188	11	)	)	PUNCT
iajs-2558	188	12	in	in	ADP
iajs-2558	188	13	maximum	maximum	ADJ
iajs-2558	188	14	likelihood	likelihood	NOUN
iajs-2558	188	15	method	method	NOUN
iajs-2558	188	16	by	by	ADP
iajs-2558	188	17	using	use	VERB
iajs-2558	188	18	math	math	NOUN
iajs-2558	188	19	lab	lab	NOUN
iajs-2558	188	20	program	program	NOUN
iajs-2558	188	21	version	version	NOUN
iajs-2558	188	22	(	(	PUNCT
iajs-2558	188	23	2014	2014	NUM
iajs-2558	188	24	)	)	PUNCT
iajs-2558	188	25	to	to	PART
iajs-2558	188	26	find	find	VERB
iajs-2558	188	27	and	and	CCONJ
iajs-2558	188	28	estimate	estimate	VERB
iajs-2558	188	29	the	the	DET
iajs-2558	188	30	values	value	NOUN
iajs-2558	188	31	of	of	ADP
iajs-2558	188	32	𝜃	𝜃	NOUN
iajs-2558	188	33	and	and	CCONJ
iajs-2558	188	34	𝛼.̂	𝛼.̂	NUM
iajs-2558	188	35	finally	finally	ADV
iajs-2558	188	36	,	,	PUNCT
iajs-2558	188	37	we	we	PRON
iajs-2558	188	38	apply	apply	VERB
iajs-2558	188	39	the	the	DET
iajs-2558	188	40	equation	equation	NOUN
iajs-2558	188	41	(	(	PUNCT
iajs-2558	188	42	36	36	NUM
iajs-2558	188	43	)	)	PUNCT
iajs-2558	188	44	and	and	CCONJ
iajs-2558	188	45	(	(	PUNCT
iajs-2558	188	46	38	38	NUM
iajs-2558	188	47	)	)	PUNCT
iajs-2558	188	48	in	in	ADP
iajs-2558	188	49	ordinary	ordinary	ADJ
iajs-2558	188	50	least	least	ADJ
iajs-2558	188	51	square	square	ADJ
iajs-2558	188	52	method	method	NOUN
iajs-2558	188	53	by	by	ADP
iajs-2558	188	54	using	use	VERB
iajs-2558	188	55	mathlab	mathlab	NOUN
iajs-2558	188	56	program	program	NOUN
iajs-2558	188	57	version	version	NOUN
iajs-2558	188	58	(	(	PUNCT
iajs-2558	188	59	2014	2014	NUM
iajs-2558	188	60	)	)	PUNCT
iajs-2558	188	61	to	to	PART
iajs-2558	188	62	find	find	VERB
iajs-2558	188	63	and	and	CCONJ
iajs-2558	188	64	estimate	estimate	VERB
iajs-2558	188	65	the	the	DET
iajs-2558	188	66	values	value	NOUN
iajs-2558	188	67	of	of	ADP
iajs-2558	188	68	𝜃	𝜃	NOUN
iajs-2558	188	69	and	and	CCONJ
iajs-2558	188	70	𝛼,̂	𝛼,̂	NUM
iajs-2558	188	71	then	then	ADV
iajs-2558	188	72	we	we	PRON
iajs-2558	188	73	get	get	VERB
iajs-2558	188	74	:	:	PUNCT
iajs-2558	188	75	𝛼.̂𝑀𝐿𝐸	𝛼.̂𝑀𝐿𝐸	NOUN
iajs-2558	188	76	=	=	NOUN
iajs-2558	188	77	1.9881	1.9881	NUM
iajs-2558	188	78	,	,	PUNCT
iajs-2558	188	79	𝜃𝑀𝐿𝐸=	𝜃𝑀𝐿𝐸=	ADP
iajs-2558	188	80	0.0118	0.0118	NUM
iajs-2558	188	81	𝛼.̂𝑂𝐿𝑆	𝛼.̂𝑂𝐿𝑆	PROPN
iajs-2558	188	82	=	=	SYM
iajs-2558	188	83	5.9299	5.9299	NUM
iajs-2558	188	84	,	,	PUNCT
iajs-2558	188	85	�	�	NOUN
iajs-2558	188	86	̂	̂	NOUN
iajs-2558	188	87	�	�	NOUN
iajs-2558	188	88	𝑂𝐿𝑆=	𝑂𝐿𝑆=	PART
iajs-2558	188	89	0.0218	0.0218	NUM
iajs-2558	188	90	4.1	4.1	NUM
iajs-2558	188	91	.	.	PUNCT
iajs-2558	189	1	maximum	maximum	ADJ
iajs-2558	189	2	likelihood	likelihood	NOUN
iajs-2558	189	3	method	method	VERB
iajs-2558	189	4	the	the	DET
iajs-2558	189	5	value	value	NOUN
iajs-2558	189	6	of	of	ADP
iajs-2558	189	7	estimate	estimate	NOUN
iajs-2558	189	8	parameters	parameter	NOUN
iajs-2558	189	9	(	(	PUNCT
iajs-2558	189	10	�	�	PROPN
iajs-2558	189	11	̂	̂	VERB
iajs-2558	189	12	�	�	PROPN
iajs-2558	189	13	,	,	PUNCT
iajs-2558	189	14	𝜃	𝜃	NOUN
iajs-2558	189	15	)	)	PUNCT
iajs-2558	189	16	will	will	AUX
iajs-2558	189	17	be	be	AUX
iajs-2558	189	18	(	(	PUNCT
iajs-2558	189	19	1.9881	1.9881	NUM
iajs-2558	189	20	,	,	PUNCT
iajs-2558	189	21	0.0118	0.0118	NUM
iajs-2558	189	22	)	)	PUNCT
iajs-2558	189	23	respectively	respectively	ADV
iajs-2558	189	24	.	.	PUNCT
iajs-2558	190	1	the	the	DET
iajs-2558	190	2	estimated	estimate	VERB
iajs-2558	190	3	probability	probability	NOUN
iajs-2558	190	4	density	density	NOUN
iajs-2558	190	5	function	function	NOUN
iajs-2558	190	6	,	,	PUNCT
iajs-2558	190	7	survival	survival	NOUN
iajs-2558	190	8	function	function	NOUN
iajs-2558	190	9	,	,	PUNCT
iajs-2558	190	10	cumulative	cumulative	ADJ
iajs-2558	190	11	distribution	distribution	NOUN
iajs-2558	190	12	and	and	CCONJ
iajs-2558	190	13	hazard	hazard	NOUN
iajs-2558	190	14	functions	function	NOUN
iajs-2558	190	15	will	will	AUX
iajs-2558	190	16	be	be	AUX
iajs-2558	190	17	as	as	SCONJ
iajs-2558	190	18	illustrated	illustrate	VERB
iajs-2558	190	19	in	in	ADP
iajs-2558	190	20	table	table	NOUN
iajs-2558	190	21	1	1	NUM
iajs-2558	190	22	.	.	PUNCT
iajs-2558	190	23	table	table	NOUN
iajs-2558	190	24	1	1	NUM
iajs-2558	190	25	.	.	NUM
iajs-2558	190	26	estimate	estimate	VERB
iajs-2558	190	27	the	the	DET
iajs-2558	190	28	values	value	NOUN
iajs-2558	190	29	of	of	ADP
iajs-2558	190	30	𝑓(t	𝑓(t	PROPN
iajs-2558	190	31	)	)	PUNCT
iajs-2558	190	32	,	,	PUNCT
iajs-2558	190	33	�	�	PROPN
iajs-2558	190	34	̂	̂	SYM
iajs-2558	190	35	�	�	NOUN
iajs-2558	190	36	(t	(t	NOUN
iajs-2558	190	37	)	)	PUNCT
iajs-2558	190	38	,	,	PUNCT
iajs-2558	190	39	�	�	PROPN
iajs-2558	190	40	̂	̂	SYM
iajs-2558	190	41	�	�	NOUN
iajs-2558	190	42	(t	(t	NOUN
iajs-2558	190	43	)	)	PUNCT
iajs-2558	190	44	,	,	PUNCT
iajs-2558	190	45	ℎ̂(t	ℎ̂(t	NOUN
iajs-2558	190	46	)	)	PUNCT
iajs-2558	190	47	for	for	ADP
iajs-2558	190	48	mle	mle	PROPN
iajs-2558	190	49	method	method	NOUN
iajs-2558	190	50	.	.	PUNCT
iajs-2558	191	1	x	x	X
iajs-2558	191	2	�	�	PROPN
iajs-2558	191	3	̂	̂	SYM
iajs-2558	191	4	�	�	NOUN
iajs-2558	191	5	(t	(t	NOUN
iajs-2558	191	6	)	)	PUNCT
iajs-2558	191	7	�	�	PROPN
iajs-2558	191	8	̂	̂	VERB
iajs-2558	191	9	�	�	NOUN
iajs-2558	191	10	(t	(t	NOUN
iajs-2558	191	11	)	)	PUNCT
iajs-2558	191	12	�	�	PROPN
iajs-2558	191	13	̂	̂	VERB
iajs-2558	191	14	�	�	NOUN
iajs-2558	191	15	(t	(t	NOUN
iajs-2558	191	16	)	)	PUNCT
iajs-2558	191	17	�	�	PROPN
iajs-2558	191	18	̂	̂	VERB
iajs-2558	191	19	�	�	NOUN
iajs-2558	191	20	(t	(t	NOUN
iajs-2558	191	21	)	)	PUNCT
iajs-2558	191	22	2	2	NUM
iajs-2558	192	1	0.998678	0.998678	NUM
iajs-2558	192	2	0.002583	0.002583	NUM
iajs-2558	192	3	0.001322	0.001322	NUM
iajs-2558	192	4	0.002586	0.002586	NUM
iajs-2558	192	5	4	4	NUM
iajs-2558	192	6	0.981538	0.981538	NUM
iajs-2558	192	7	0.016821	0.016821	NUM
iajs-2558	192	8	0.018462	0.018462	NUM
iajs-2558	192	9	0.017137	0.017137	NUM
iajs-2558	192	10	5	5	NUM
iajs-2558	192	11	0.959154	0.959154	NUM
iajs-2558	192	12	0.028277	0.028277	NUM
iajs-2558	192	13	0.040846	0.040846	NUM
iajs-2558	192	14	0.029481	0.029481	NUM
iajs-2558	192	15	5	5	NUM
iajs-2558	192	16	0.959154	0.959154	NUM
iajs-2558	192	17	0.028277	0.028277	NUM
iajs-2558	192	18	0.040846	0.040846	NUM
iajs-2558	192	19	0.029481	0.029481	NUM
iajs-2558	192	20	5	5	NUM
iajs-2558	192	21	0.959154	0.959154	NUM
iajs-2558	192	22	0.028277	0.028277	NUM
iajs-2558	192	23	0.040846	0.040846	NUM
iajs-2558	192	24	0.029481	0.029481	NUM
iajs-2558	192	25	5	5	NUM
iajs-2558	192	26	0.959154	0.959154	NUM
iajs-2558	192	27	0.028277	0.028277	NUM
iajs-2558	192	28	0.040846	0.040846	NUM
iajs-2558	192	29	0.029481	0.029481	NUM
iajs-2558	192	30	5	5	NUM
iajs-2558	192	31	0.959154	0.959154	NUM
iajs-2558	192	32	0.028277	0.028277	NUM
iajs-2558	192	33	0.040846	0.040846	NUM
iajs-2558	192	34	0.029481	0.029481	NUM
iajs-2558	192	35	6	6	NUM
iajs-2558	192	36	0.924601	0.924601	NUM
iajs-2558	192	37	0.040877	0.040877	NUM
iajs-2558	192	38	0.075399	0.075399	NUM
iajs-2558	192	39	0.04421	0.04421	NUM
iajs-2558	192	40	6	6	NUM
iajs-2558	192	41	0.924601	0.924601	NUM
iajs-2558	192	42	0.040877	0.040877	NUM
iajs-2558	192	43	0.075399	0.075399	NUM
iajs-2558	192	44	0.04421	0.04421	NUM
iajs-2558	192	45	6	6	NUM
iajs-2558	192	46	0.924601	0.924601	NUM
iajs-2558	192	47	0.040877	0.040877	NUM
iajs-2558	192	48	0.075399	0.075399	NUM
iajs-2558	192	49	0.04421	0.04421	NUM
iajs-2558	192	50	7	7	NUM
iajs-2558	192	51	0.877585	0.877585	NUM
iajs-2558	192	52	0.052931	0.052931	NUM
iajs-2558	192	53	0.122415	0.122415	NUM
iajs-2558	192	54	0.060314	0.060314	NUM
iajs-2558	192	55	7	7	NUM
iajs-2558	192	56	0.877585	0.877585	NUM
iajs-2558	192	57	0.052931	0.052931	NUM
iajs-2558	192	58	0.122415	0.122415	NUM
iajs-2558	192	59	0.060314	0.060314	NUM
iajs-2558	192	60	7	7	NUM
iajs-2558	192	61	0.877585	0.877585	NUM
iajs-2558	192	62	0.052931	0.052931	NUM
iajs-2558	192	63	0.122415	0.122415	NUM
iajs-2558	192	64	0.060314	0.060314	NUM
iajs-2558	192	65	7	7	NUM
iajs-2558	192	66	0.877585	0.877585	NUM
iajs-2558	192	67	0.052931	0.052931	NUM
iajs-2558	192	68	0.122415	0.122415	NUM
iajs-2558	192	69	0.060314	0.060314	NUM
iajs-2558	192	70	7	7	NUM
iajs-2558	192	71	0.877585	0.877585	NUM
iajs-2558	192	72	0.052931	0.052931	NUM
iajs-2558	192	73	0.122415	0.122415	NUM
iajs-2558	192	74	0.060314	0.060314	NUM
iajs-2558	192	75	8	8	NUM
iajs-2558	192	76	0.819409	0.819409	NUM
iajs-2558	192	77	0.062997	0.062997	NUM
iajs-2558	192	78	0.180591	0.180591	NUM
iajs-2558	192	79	0.076881	0.076881	NUM
iajs-2558	192	80	8	8	NUM
iajs-2558	192	81	0.819409	0.819409	NUM
iajs-2558	192	82	0.062997	0.062997	NUM
iajs-2558	192	83	0.180591	0.180591	NUM
iajs-2558	192	84	0.076881	0.076881	NUM
iajs-2558	192	85	95	95	NUM
iajs-2558	192	86	ibn	ibn	PROPN
iajs-2558	192	87	al	al	PROPN
iajs-2558	192	88	-	-	PUNCT
iajs-2558	192	89	haitham	haitham	PROPN
iajs-2558	192	90	jour	jour	X
iajs-2558	192	91	.	.	PROPN
iajs-2558	193	1	for	for	ADP
iajs-2558	193	2	pure	pure	ADJ
iajs-2558	193	3	&	&	CCONJ
iajs-2558	193	4	appl	appl	PROPN
iajs-2558	193	5	.	.	PUNCT
iajs-2558	194	1	sci	sci	PROPN
iajs-2558	194	2	.	.	PROPN
iajs-2558	195	1	34	34	NUM
iajs-2558	195	2	(	(	PUNCT
iajs-2558	195	3	1	1	NUM
iajs-2558	195	4	)	)	PUNCT
iajs-2558	195	5	2021	2021	NUM
iajs-2558	196	1	8	8	NUM
iajs-2558	196	2	0.819409	0.819409	NUM
iajs-2558	196	3	0.062997	0.062997	NUM
iajs-2558	196	4	0.180591	0.180591	NUM
iajs-2558	196	5	0.076881	0.076881	NUM
iajs-2558	196	6	8	8	NUM
iajs-2558	196	7	0.819409	0.819409	NUM
iajs-2558	196	8	0.062997	0.062997	NUM
iajs-2558	196	9	0.180591	0.180591	NUM
iajs-2558	196	10	0.076881	0.076881	NUM
iajs-2558	196	11	8	8	NUM
iajs-2558	196	12	0.819409	0.819409	NUM
iajs-2558	196	13	0.062997	0.062997	NUM
iajs-2558	196	14	0.180591	0.180591	NUM
iajs-2558	196	15	0.076881	0.076881	NUM
iajs-2558	196	16	8	8	NUM
iajs-2558	196	17	0.819409	0.819409	NUM
iajs-2558	196	18	0.062997	0.062997	NUM
iajs-2558	196	19	0.180591	0.180591	NUM
iajs-2558	196	20	0.076881	0.076881	NUM
iajs-2558	196	21	9	9	NUM
iajs-2558	196	22	0.752565	0.752565	NUM
iajs-2558	196	23	0.070164	0.070164	NUM
iajs-2558	196	24	0.247435	0.247435	NUM
iajs-2558	196	25	0.093233	0.093233	NUM
iajs-2558	196	26	9	9	NUM
iajs-2558	196	27	0.752565	0.752565	NUM
iajs-2558	196	28	0.070164	0.070164	NUM
iajs-2558	196	29	0.247435	0.247435	NUM
iajs-2558	196	30	0.093233	0.093233	NUM
iajs-2558	196	31	9	9	NUM
iajs-2558	196	32	0.752565	0.752565	NUM
iajs-2558	196	33	0.070164	0.070164	NUM
iajs-2558	196	34	0.247435	0.247435	NUM
iajs-2558	196	35	0.093233	0.093233	NUM
iajs-2558	196	36	9	9	NUM
iajs-2558	196	37	0.752565	0.752565	NUM
iajs-2558	196	38	0.070164	0.070164	NUM
iajs-2558	196	39	0.247435	0.247435	NUM
iajs-2558	196	40	0.093233	0.093233	NUM
iajs-2558	196	41	9	9	NUM
iajs-2558	196	42	0.752565	0.752565	NUM
iajs-2558	196	43	0.070164	0.070164	NUM
iajs-2558	196	44	0.247435	0.247435	NUM
iajs-2558	196	45	0.093233	0.093233	NUM
iajs-2558	196	46	9	9	NUM
iajs-2558	196	47	0.752565	0.752565	NUM
iajs-2558	196	48	0.070164	0.070164	NUM
iajs-2558	196	49	0.247435	0.247435	NUM
iajs-2558	196	50	0.093233	0.093233	NUM
iajs-2558	196	51	9	9	NUM
iajs-2558	196	52	0.752565	0.752565	NUM
iajs-2558	196	53	0.070164	0.070164	NUM
iajs-2558	196	54	0.247435	0.247435	NUM
iajs-2558	196	55	0.093233	0.093233	NUM
iajs-2558	196	56	9	9	NUM
iajs-2558	196	57	0.752565	0.752565	NUM
iajs-2558	196	58	0.070164	0.070164	NUM
iajs-2558	196	59	0.247435	0.247435	NUM
iajs-2558	196	60	0.093233	0.093233	NUM
iajs-2558	196	61	9	9	NUM
iajs-2558	196	62	0.752565	0.752565	NUM
iajs-2558	196	63	0.070164	0.070164	NUM
iajs-2558	196	64	0.247435	0.247435	NUM
iajs-2558	196	65	0.093233	0.093233	NUM
iajs-2558	196	66	9	9	NUM
iajs-2558	196	67	0.752565	0.752565	NUM
iajs-2558	196	68	0.070164	0.070164	NUM
iajs-2558	196	69	0.247435	0.247435	NUM
iajs-2558	196	70	0.093233	0.093233	NUM
iajs-2558	196	71	9	9	NUM
iajs-2558	196	72	0.752565	0.752565	NUM
iajs-2558	196	73	0.070164	0.070164	NUM
iajs-2558	196	74	0.247435	0.247435	NUM
iajs-2558	196	75	0.093233	0.093233	NUM
iajs-2558	196	76	9	9	NUM
iajs-2558	196	77	0.752565	0.752565	NUM
iajs-2558	196	78	0.070164	0.070164	NUM
iajs-2558	196	79	0.247435	0.247435	NUM
iajs-2558	196	80	0.093233	0.093233	NUM
iajs-2558	196	81	10	10	NUM
iajs-2558	196	82	0.680162	0.680162	NUM
iajs-2558	196	83	0.074106	0.074106	NUM
iajs-2558	196	84	0.319838	0.319838	NUM
iajs-2558	196	85	0.108953	0.108953	NUM
iajs-2558	196	86	10	10	NUM
iajs-2558	196	87	0.680162	0.680162	NUM
iajs-2558	196	88	0.074106	0.074106	NUM
iajs-2558	196	89	0.319838	0.319838	NUM
iajs-2558	196	90	0.108953	0.108953	NUM
iajs-2558	196	91	10	10	NUM
iajs-2558	196	92	0.680162	0.680162	NUM
iajs-2558	196	93	0.074106	0.074106	NUM
iajs-2558	196	94	0.319838	0.319838	NUM
iajs-2558	196	95	0.108953	0.108953	NUM
iajs-2558	196	96	10	10	NUM
iajs-2558	196	97	0.680162	0.680162	NUM
iajs-2558	196	98	0.074106	0.074106	NUM
iajs-2558	196	99	0.319838	0.319838	NUM
iajs-2558	196	100	0.108953	0.108953	NUM
iajs-2558	196	101	10	10	NUM
iajs-2558	196	102	0.680162	0.680162	NUM
iajs-2558	196	103	0.074106	0.074106	NUM
iajs-2558	196	104	0.319838	0.319838	NUM
iajs-2558	196	105	0.108953	0.108953	NUM
iajs-2558	196	106	10	10	NUM
iajs-2558	196	107	0.680162	0.680162	NUM
iajs-2558	196	108	0.074106	0.074106	NUM
iajs-2558	196	109	0.319838	0.319838	NUM
iajs-2558	196	110	0.108953	0.108953	NUM
iajs-2558	196	111	10	10	NUM
iajs-2558	196	112	0.680162	0.680162	NUM
iajs-2558	196	113	0.074106	0.074106	NUM
iajs-2558	196	114	0.319838	0.319838	NUM
iajs-2558	196	115	0.108953	0.108953	NUM
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iajs-2558	200	8	28	28	NUM
iajs-2558	200	9	0.012156	0.012156	NUM
iajs-2558	200	10	0.004025	0.004025	NUM
iajs-2558	200	11	0.987844	0.987844	NUM
iajs-2558	200	12	0.331107	0.331107	NUM
iajs-2558	200	13	28	28	NUM
iajs-2558	200	14	0.012156	0.012156	NUM
iajs-2558	200	15	0.004025	0.004025	NUM
iajs-2558	200	16	0.987844	0.987844	NUM
iajs-2558	200	17	0.331107	0.331107	NUM
iajs-2558	200	18	from	from	ADP
iajs-2558	200	19	table	table	NOUN
iajs-2558	200	20	2	2	NUM
iajs-2558	200	21	.	.	PUNCT
iajs-2558	201	1	we	we	PRON
iajs-2558	201	2	find	find	VERB
iajs-2558	201	3	that	that	SCONJ
iajs-2558	201	4	the	the	DET
iajs-2558	201	5	death	death	NOUN
iajs-2558	201	6	density	density	NOUN
iajs-2558	201	7	function	function	NOUN
iajs-2558	201	8	is	be	AUX
iajs-2558	201	9	increasing	increase	VERB
iajs-2558	201	10	with	with	ADP
iajs-2558	201	11	the	the	DET
iajs-2558	201	12	failure	failure	NOUN
iajs-2558	201	13	times	time	NOUN
iajs-2558	201	14	until	until	ADP
iajs-2558	201	15	(	(	PUNCT
iajs-2558	201	16	0.074984	0.074984	NUM
iajs-2558	201	17	)	)	PUNCT
iajs-2558	201	18	when	when	SCONJ
iajs-2558	201	19	t=11	t=11	PROPN
iajs-2558	201	20	,	,	PUNCT
iajs-2558	201	21	then	then	ADV
iajs-2558	201	22	the	the	DET
iajs-2558	201	23	values	value	NOUN
iajs-2558	201	24	decreasing	decrease	VERB
iajs-2558	201	25	with	with	ADP
iajs-2558	201	26	failure	failure	NOUN
iajs-2558	201	27	times	time	NOUN
iajs-2558	201	28	from	from	ADP
iajs-2558	201	29	(	(	PUNCT
iajs-2558	201	30	0.073266	0.073266	NUM
iajs-2558	201	31	)	)	PUNCT
iajs-2558	201	32	when	when	SCONJ
iajs-2558	201	33	t=12	t=12	NOUN
iajs-2558	201	34	until	until	ADP
iajs-2558	201	35	the	the	DET
iajs-2558	201	36	end	end	NOUN
iajs-2558	201	37	of	of	ADP
iajs-2558	201	38	failure	failure	NOUN
iajs-2558	201	39	times	time	NOUN
iajs-2558	201	40	.we	.we	PUNCT
iajs-2558	201	41	find	find	VERB
iajs-2558	201	42	that	that	SCONJ
iajs-2558	201	43	the	the	DET
iajs-2558	201	44	survival	survival	NOUN
iajs-2558	201	45	function	function	NOUN
iajs-2558	201	46	is	be	AUX
iajs-2558	201	47	decreasing	decrease	VERB
iajs-2558	201	48	with	with	ADP
iajs-2558	201	49	the	the	DET
iajs-2558	201	50	increasing	increasing	NOUN
iajs-2558	201	51	of	of	ADP
iajs-2558	201	52	failure	failure	NOUN
iajs-2558	201	53	times	time	NOUN
iajs-2558	201	54	.we	.we	PUNCT
iajs-2558	201	55	find	find	VERB
iajs-2558	201	56	that	that	SCONJ
iajs-2558	201	57	the	the	DET
iajs-2558	201	58	hazard	hazard	NOUN
iajs-2558	201	59	function	function	NOUN
iajs-2558	201	60	is	be	AUX
iajs-2558	201	61	increasing	increase	VERB
iajs-2558	201	62	with	with	ADP
iajs-2558	201	63	increasing	increase	VERB
iajs-2558	201	64	failure	failure	NOUN
iajs-2558	201	65	times	time	NOUN
iajs-2558	201	66	.	.	PUNCT
iajs-2558	202	1	4.2	4.2	NUM
iajs-2558	202	2	:	:	PUNCT
iajs-2558	202	3	ordinary	ordinary	ADJ
iajs-2558	202	4	least	least	ADJ
iajs-2558	202	5	square	square	ADJ
iajs-2558	202	6	method	method	NOUN
iajs-2558	202	7	the	the	DET
iajs-2558	202	8	value	value	NOUN
iajs-2558	202	9	of	of	ADP
iajs-2558	202	10	estimated	estimate	VERB
iajs-2558	202	11	(	(	PUNCT
iajs-2558	202	12	�	�	NOUN
iajs-2558	202	13	̂	̂	VERB
iajs-2558	202	14	�	�	PROPN
iajs-2558	202	15	,	,	PUNCT
iajs-2558	202	16	𝜃	𝜃	NOUN
iajs-2558	202	17	)	)	PUNCT
iajs-2558	202	18	will	will	AUX
iajs-2558	202	19	be	be	AUX
iajs-2558	202	20	(	(	PUNCT
iajs-2558	202	21	5.9299	5.9299	NUM
iajs-2558	202	22	,	,	PUNCT
iajs-2558	202	23	0.0218	0.0218	NUM
iajs-2558	202	24	)	)	PUNCT
iajs-2558	202	25	respectively	respectively	ADV
iajs-2558	202	26	and	and	CCONJ
iajs-2558	202	27	the	the	DET
iajs-2558	202	28	estimated	estimate	VERB
iajs-2558	202	29	probability	probability	NOUN
iajs-2558	202	30	density	density	NOUN
iajs-2558	202	31	,	,	PUNCT
iajs-2558	202	32	survival	survival	NOUN
iajs-2558	202	33	,	,	PUNCT
iajs-2558	202	34	distribution	distribution	NOUN
iajs-2558	202	35	and	and	CCONJ
iajs-2558	202	36	hazard	hazard	NOUN
iajs-2558	202	37	functions	function	NOUN
iajs-2558	202	38	will	will	AUX
iajs-2558	202	39	be	be	AUX
iajs-2558	202	40	as	as	SCONJ
iajs-2558	202	41	illustrated	illustrate	VERB
iajs-2558	202	42	in	in	ADP
iajs-2558	202	43	table	table	NOUN
iajs-2558	202	44	97	97	NUM
iajs-2558	202	45	ibn	ibn	PROPN
iajs-2558	202	46	al	al	PROPN
iajs-2558	202	47	-	-	PUNCT
iajs-2558	202	48	haitham	haitham	PROPN
iajs-2558	202	49	jour	jour	X
iajs-2558	202	50	.	.	PROPN
iajs-2558	203	1	for	for	ADP
iajs-2558	203	2	pure	pure	ADJ
iajs-2558	203	3	&	&	CCONJ
iajs-2558	203	4	appl	appl	PROPN
iajs-2558	203	5	.	.	PUNCT
iajs-2558	204	1	sci	sci	PROPN
iajs-2558	204	2	.	.	PROPN
iajs-2558	205	1	34	34	NUM
iajs-2558	205	2	(	(	PUNCT
iajs-2558	205	3	1	1	NUM
iajs-2558	205	4	)	)	PUNCT
iajs-2558	205	5	2021	2021	NUM
iajs-2558	205	6	table	table	NOUN
iajs-2558	205	7	2	2	NUM
iajs-2558	205	8	.	.	NUM
iajs-2558	205	9	estimate	estimate	VERB
iajs-2558	205	10	the	the	DET
iajs-2558	205	11	values	value	NOUN
iajs-2558	205	12	of	of	ADP
iajs-2558	205	13	𝑓(t	𝑓(t	PROPN
iajs-2558	205	14	)	)	PUNCT
iajs-2558	205	15	,	,	PUNCT
iajs-2558	205	16	�	�	PROPN
iajs-2558	205	17	̂	̂	SYM
iajs-2558	205	18	�	�	NOUN
iajs-2558	205	19	(t	(t	NOUN
iajs-2558	205	20	)	)	PUNCT
iajs-2558	205	21	,	,	PUNCT
iajs-2558	205	22	�	�	PROPN
iajs-2558	205	23	̂	̂	SYM
iajs-2558	205	24	�	�	NOUN
iajs-2558	205	25	(t	(t	NOUN
iajs-2558	205	26	)	)	PUNCT
iajs-2558	205	27	,	,	PUNCT
iajs-2558	205	28	ℎ̂(t	ℎ̂(t	NOUN
iajs-2558	205	29	)	)	PUNCT
iajs-2558	205	30	for	for	ADP
iajs-2558	205	31	ols	ol	NOUN
iajs-2558	205	32	method	method	NOUN
iajs-2558	205	33	x	x	PART
iajs-2558	205	34	�	�	PROPN
iajs-2558	205	35	̂	̂	NOUN
iajs-2558	205	36	�	�	NOUN
iajs-2558	205	37	(t	(t	NOUN
iajs-2558	205	38	)	)	PUNCT
iajs-2558	205	39	�	�	PROPN
iajs-2558	205	40	̂	̂	VERB
iajs-2558	205	41	�	�	NOUN
iajs-2558	205	42	(t	(t	NOUN
iajs-2558	205	43	)	)	PUNCT
iajs-2558	205	44	�	�	PROPN
iajs-2558	205	45	̂	̂	VERB
iajs-2558	205	46	�	�	NOUN
iajs-2558	205	47	(t	(t	NOUN
iajs-2558	205	48	)	)	PUNCT
iajs-2558	205	49	�	�	PROPN
iajs-2558	205	50	̂	̂	VERB
iajs-2558	205	51	�	�	NOUN
iajs-2558	205	52	(t	(t	NOUN
iajs-2558	205	53	)	)	PUNCT
iajs-2558	205	54	2	2	NUM
iajs-2558	205	55	0.97873	0.97873	NUM
iajs-2558	205	56	0.033599	0.033599	NUM
iajs-2558	205	57	0.02127	0.02127	NUM
iajs-2558	205	58	0.034329	0.034329	NUM
iajs-2558	205	59	4	4	NUM
iajs-2558	205	60	0.863998	0.863998	NUM
iajs-2558	205	61	0.075079	0.075079	NUM
iajs-2558	205	62	0.136002	0.136002	NUM
iajs-2558	205	63	0.086898	0.086898	NUM
iajs-2558	205	64	5	5	NUM
iajs-2558	205	65	0.783413	0.783413	NUM
iajs-2558	205	66	0.085272	0.085272	NUM
iajs-2558	205	67	0.216587	0.216587	NUM
iajs-2558	205	68	0.108846	0.108846	NUM
iajs-2558	205	69	5	5	NUM
iajs-2558	205	70	0.783413	0.783413	NUM
iajs-2558	205	71	0.085272	0.085272	NUM
iajs-2558	205	72	0.216587	0.216587	NUM
iajs-2558	205	73	0.108846	0.108846	NUM
iajs-2558	205	74	5	5	NUM
iajs-2558	205	75	0.783413	0.783413	NUM
iajs-2558	205	76	0.085272	0.085272	NUM
iajs-2558	205	77	0.216587	0.216587	NUM
iajs-2558	205	78	0.108846	0.108846	NUM
iajs-2558	205	79	5	5	NUM
iajs-2558	205	80	0.783413	0.783413	NUM
iajs-2558	205	81	0.085272	0.085272	NUM
iajs-2558	205	82	0.216587	0.216587	NUM
iajs-2558	205	83	0.108846	0.108846	NUM
iajs-2558	205	84	5	5	NUM
iajs-2558	205	85	0.783413	0.783413	NUM
iajs-2558	205	86	0.085272	0.085272	NUM
iajs-2558	205	87	0.216587	0.216587	NUM
iajs-2558	205	88	0.108846	0.108846	NUM
iajs-2558	205	89	6	6	NUM
iajs-2558	205	90	0.695008	0.695008	NUM
iajs-2558	205	91	0.090785	0.090785	NUM
iajs-2558	205	92	0.304992	0.304992	NUM
iajs-2558	205	93	0.130624	0.130624	NUM
iajs-2558	205	94	6	6	NUM
iajs-2558	205	95	0.695008	0.695008	NUM
iajs-2558	205	96	0.090785	0.090785	NUM
iajs-2558	205	97	0.304992	0.304992	NUM
iajs-2558	205	98	0.130624	0.130624	NUM
iajs-2558	205	99	6	6	NUM
iajs-2558	205	100	0.695008	0.695008	NUM
iajs-2558	205	101	0.090785	0.090785	NUM
iajs-2558	205	102	0.304992	0.304992	NUM
iajs-2558	205	103	0.130624	0.130624	NUM
iajs-2558	205	104	7	7	NUM
iajs-2558	205	105	0.6033	0.6033	NUM
iajs-2558	205	106	0.09194	0.09194	NUM
iajs-2558	205	107	0.3967	0.3967	NUM
iajs-2558	205	108	0.152395	0.152395	NUM
iajs-2558	205	109	7	7	NUM
iajs-2558	205	110	0.6033	0.6033	NUM
iajs-2558	205	111	0.09194	0.09194	NUM
iajs-2558	205	112	0.3967	0.3967	NUM
iajs-2558	205	113	0.152395	0.152395	NUM
iajs-2558	205	114	7	7	NUM
iajs-2558	205	115	0.6033	0.6033	NUM
iajs-2558	205	116	0.09194	0.09194	NUM
iajs-2558	206	1	0.3967	0.3967	NUM
iajs-2558	206	2	0.152395	0.152395	NUM
iajs-2558	206	3	7	7	NUM
iajs-2558	206	4	0.6033	0.6033	NUM
iajs-2558	206	5	0.09194	0.09194	NUM
iajs-2558	206	6	0.3967	0.3967	NUM
iajs-2558	206	7	0.152395	0.152395	NUM
iajs-2558	206	8	7	7	NUM
iajs-2558	206	9	0.6033	0.6033	NUM
iajs-2558	206	10	0.09194	0.09194	NUM
iajs-2558	206	11	0.3967	0.3967	NUM
iajs-2558	206	12	0.152395	0.152395	NUM
iajs-2558	206	13	8	8	NUM
iajs-2558	206	14	0.512414	0.512414	NUM
iajs-2558	206	15	0.089245	0.089245	NUM
iajs-2558	206	16	0.487586	0.487586	NUM
iajs-2558	206	17	0.174166	0.174166	NUM
iajs-2558	206	18	8	8	NUM
iajs-2558	206	19	0.512414	0.512414	NUM
iajs-2558	206	20	0.089245	0.089245	NUM
iajs-2558	206	21	0.487586	0.487586	NUM
iajs-2558	206	22	0.174166	0.174166	NUM
iajs-2558	206	23	8	8	NUM
iajs-2558	206	24	0.512414	0.512414	NUM
iajs-2558	206	25	0.089245	0.089245	NUM
iajs-2558	206	26	0.487586	0.487586	NUM
iajs-2558	206	27	0.174166	0.174166	NUM
iajs-2558	206	28	8	8	NUM
iajs-2558	206	29	0.512414	0.512414	NUM
iajs-2558	206	30	0.089245	0.089245	NUM
iajs-2558	206	31	0.487586	0.487586	NUM
iajs-2558	206	32	0.174166	0.174166	NUM
iajs-2558	206	33	8	8	NUM
iajs-2558	206	34	0.512414	0.512414	NUM
iajs-2558	206	35	0.089245	0.089245	NUM
iajs-2558	206	36	0.487586	0.487586	NUM
iajs-2558	206	37	0.174166	0.174166	NUM
iajs-2558	206	38	8	8	NUM
iajs-2558	206	39	0.512414	0.512414	NUM
iajs-2558	206	40	0.089245	0.089245	NUM
iajs-2558	206	41	0.487586	0.487586	NUM
iajs-2558	206	42	0.174166	0.174166	NUM
iajs-2558	206	43	9	9	NUM
iajs-2558	206	44	0.425848	0.425848	NUM
iajs-2558	206	45	0.083439	0.083439	NUM
iajs-2558	206	46	0.574152	0.574152	NUM
iajs-2558	206	47	0.195937	0.195937	NUM
iajs-2558	206	48	9	9	NUM
iajs-2558	206	49	0.425848	0.425848	NUM
iajs-2558	206	50	0.083439	0.083439	NUM
iajs-2558	206	51	0.574152	0.574152	NUM
iajs-2558	206	52	0.195937	0.195937	NUM
iajs-2558	206	53	9	9	NUM
iajs-2558	206	54	0.425848	0.425848	NUM
iajs-2558	206	55	0.083439	0.083439	NUM
iajs-2558	206	56	0.574152	0.574152	NUM
iajs-2558	206	57	0.195937	0.195937	NUM
iajs-2558	206	58	9	9	NUM
iajs-2558	206	59	0.425848	0.425848	NUM
iajs-2558	206	60	0.083439	0.083439	NUM
iajs-2558	206	61	0.574152	0.574152	NUM
iajs-2558	206	62	0.195937	0.195937	NUM
iajs-2558	206	63	9	9	NUM
iajs-2558	206	64	0.425848	0.425848	NUM
iajs-2558	206	65	0.083439	0.083439	NUM
iajs-2558	206	66	0.574152	0.574152	NUM
iajs-2558	206	67	0.195937	0.195937	NUM
iajs-2558	206	68	9	9	NUM
iajs-2558	206	69	0.425848	0.425848	NUM
iajs-2558	206	70	0.083439	0.083439	NUM
iajs-2558	206	71	0.574152	0.574152	NUM
iajs-2558	206	72	0.195937	0.195937	NUM
iajs-2558	206	73	9	9	NUM
iajs-2558	206	74	0.425848	0.425848	NUM
iajs-2558	206	75	0.083439	0.083439	NUM
iajs-2558	206	76	0.574152	0.574152	NUM
iajs-2558	206	77	0.195937	0.195937	NUM
iajs-2558	206	78	9	9	NUM
iajs-2558	206	79	0.425848	0.425848	NUM
iajs-2558	206	80	0.083439	0.083439	NUM
iajs-2558	206	81	0.574152	0.574152	NUM
iajs-2558	206	82	0.195937	0.195937	NUM
iajs-2558	206	83	9	9	NUM
iajs-2558	206	84	0.425848	0.425848	NUM
iajs-2558	206	85	0.083439	0.083439	NUM
iajs-2558	206	86	0.574152	0.574152	NUM
iajs-2558	206	87	0.195937	0.195937	NUM
iajs-2558	206	88	9	9	NUM
iajs-2558	206	89	0.425848	0.425848	NUM
iajs-2558	206	90	0.083439	0.083439	NUM
iajs-2558	206	91	0.574152	0.574152	NUM
iajs-2558	206	92	0.195937	0.195937	NUM
iajs-2558	206	93	9	9	NUM
iajs-2558	206	94	0.425848	0.425848	NUM
iajs-2558	206	95	0.083439	0.083439	NUM
iajs-2558	206	96	0.574152	0.574152	NUM
iajs-2558	206	97	0.195937	0.195937	NUM
iajs-2558	206	98	9	9	NUM
iajs-2558	206	99	0.425848	0.425848	NUM
iajs-2558	206	100	0.083439	0.083439	NUM
iajs-2558	206	101	0.574152	0.574152	NUM
iajs-2558	206	102	0.195937	0.195937	NUM
iajs-2558	206	103	10	10	NUM
iajs-2558	206	104	0.346284	0.346284	NUM
iajs-2558	206	105	0.075389	0.075389	NUM
iajs-2558	206	106	0.653716	0.653716	NUM
iajs-2558	206	107	0.217707	0.217707	NUM
iajs-2558	206	108	10	10	NUM
iajs-2558	206	109	0.346284	0.346284	NUM
iajs-2558	206	110	0.075389	0.075389	NUM
iajs-2558	206	111	0.653716	0.653716	NUM
iajs-2558	206	112	0.217707	0.217707	NUM
iajs-2558	206	113	10	10	NUM
iajs-2558	206	114	0.346284	0.346284	NUM
iajs-2558	206	115	0.075389	0.075389	NUM
iajs-2558	206	116	0.653716	0.653716	NUM
iajs-2558	206	117	0.217707	0.217707	NUM
iajs-2558	206	118	10	10	NUM
iajs-2558	206	119	0.346284	0.346284	NUM
iajs-2558	206	120	0.075389	0.075389	NUM
iajs-2558	206	121	0.653716	0.653716	NUM
iajs-2558	206	122	0.217707	0.217707	NUM
iajs-2558	206	123	10	10	NUM
iajs-2558	206	124	0.346284	0.346284	NUM
iajs-2558	206	125	0.075389	0.075389	NUM
iajs-2558	206	126	0.653716	0.653716	NUM
iajs-2558	206	127	0.217707	0.217707	NUM
iajs-2558	206	128	10	10	NUM
iajs-2558	206	129	0.346284	0.346284	NUM
iajs-2558	206	130	0.075389	0.075389	NUM
iajs-2558	206	131	0.653716	0.653716	NUM
iajs-2558	206	132	0.217707	0.217707	NUM
iajs-2558	206	133	10	10	NUM
iajs-2558	206	134	0.346284	0.346284	NUM
iajs-2558	206	135	0.075389	0.075389	NUM
iajs-2558	206	136	0.653716	0.653716	NUM
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iajs-2558	217	29	jour	jour	X
iajs-2558	217	30	.	.	PROPN
iajs-2558	218	1	for	for	ADP
iajs-2558	218	2	pure	pure	ADJ
iajs-2558	218	3	&	&	CCONJ
iajs-2558	218	4	appl	appl	PROPN
iajs-2558	218	5	.	.	PUNCT
iajs-2558	219	1	sci	sci	PROPN
iajs-2558	219	2	.	.	PROPN
iajs-2558	220	1	34	34	NUM
iajs-2558	220	2	(	(	PUNCT
iajs-2558	220	3	1	1	NUM
iajs-2558	220	4	)	)	PUNCT
iajs-2558	220	5	2021	2021	NUM
iajs-2558	220	6	28	28	NUM
iajs-2558	221	1	0.000202	0.000202	NUM
iajs-2558	221	2	0.000123	0.000123	NUM
iajs-2558	221	3	0.999798	0.999798	NUM
iajs-2558	221	4	0.609581	0.609581	NUM
iajs-2558	221	5	28	28	NUM
iajs-2558	221	6	0.000202	0.000202	NUM
iajs-2558	221	7	0.000123	0.000123	NUM
iajs-2558	221	8	0.999798	0.999798	NUM
iajs-2558	221	9	0.609581	0.609581	NUM
iajs-2558	221	10	28	28	NUM
iajs-2558	221	11	0.000202	0.000202	NUM
iajs-2558	221	12	0.000123	0.000123	NUM
iajs-2558	221	13	0.999798	0.999798	NUM
iajs-2558	221	14	0.609581	0.609581	NUM
iajs-2558	221	15	from	from	ADP
iajs-2558	221	16	table	table	NOUN
iajs-2558	221	17	(	(	PUNCT
iajs-2558	221	18	2	2	NUM
iajs-2558	221	19	)	)	PUNCT
iajs-2558	221	20	,	,	PUNCT
iajs-2558	221	21	we	we	PRON
iajs-2558	221	22	find	find	VERB
iajs-2558	221	23	that	that	SCONJ
iajs-2558	221	24	the	the	DET
iajs-2558	221	25	death	death	NOUN
iajs-2558	221	26	density	density	NOUN
iajs-2558	221	27	function	function	NOUN
iajs-2558	221	28	is	be	AUX
iajs-2558	221	29	increasing	increase	VERB
iajs-2558	221	30	with	with	ADP
iajs-2558	221	31	the	the	DET
iajs-2558	221	32	failure	failure	NOUN
iajs-2558	221	33	times	time	NOUN
iajs-2558	221	34	until	until	ADP
iajs-2558	221	35	(	(	PUNCT
iajs-2558	221	36	0.09194	0.09194	NUM
iajs-2558	221	37	)	)	PUNCT
iajs-2558	221	38	when	when	SCONJ
iajs-2558	221	39	t=7	t=7	PRON
iajs-2558	221	40	,	,	PUNCT
iajs-2558	221	41	then	then	ADV
iajs-2558	221	42	decreasing	decrease	VERB
iajs-2558	221	43	with	with	ADP
iajs-2558	221	44	failure	failure	NOUN
iajs-2558	221	45	times	time	NOUN
iajs-2558	221	46	from	from	ADP
iajs-2558	221	47	(	(	PUNCT
iajs-2558	221	48	0.089245	0.089245	NUM
iajs-2558	221	49	)	)	PUNCT
iajs-2558	221	50	when	when	SCONJ
iajs-2558	221	51	t=8	t=8	PROPN
iajs-2558	221	52	until	until	ADP
iajs-2558	221	53	the	the	DET
iajs-2558	221	54	end	end	NOUN
iajs-2558	221	55	of	of	ADP
iajs-2558	221	56	failure	failure	NOUN
iajs-2558	221	57	times	time	NOUN
iajs-2558	221	58	.we	.we	PUNCT
iajs-2558	221	59	find	find	VERB
iajs-2558	221	60	that	that	SCONJ
iajs-2558	221	61	the	the	DET
iajs-2558	221	62	survival	survival	NOUN
iajs-2558	221	63	function	function	NOUN
iajs-2558	221	64	is	be	AUX
iajs-2558	221	65	decreasing	decrease	VERB
iajs-2558	221	66	with	with	ADP
iajs-2558	221	67	the	the	DET
iajs-2558	221	68	increasing	increasing	NOUN
iajs-2558	221	69	of	of	ADP
iajs-2558	221	70	failure	failure	NOUN
iajs-2558	221	71	times	time	NOUN
iajs-2558	221	72	.	.	PUNCT
iajs-2558	222	1	we	we	PRON
iajs-2558	222	2	find	find	VERB
iajs-2558	222	3	that	that	SCONJ
iajs-2558	222	4	the	the	DET
iajs-2558	222	5	hazard	hazard	NOUN
iajs-2558	222	6	function	function	NOUN
iajs-2558	222	7	is	be	AUX
iajs-2558	222	8	increasing	increase	VERB
iajs-2558	222	9	with	with	ADP
iajs-2558	222	10	the	the	DET
iajs-2558	222	11	increasing	increase	VERB
iajs-2558	222	12	failure	failure	NOUN
iajs-2558	222	13	times	time	NOUN
iajs-2558	222	14	.	.	PUNCT
iajs-2558	223	1	�	�	PROPN
iajs-2558	223	2	̂	̂	VERB
iajs-2558	223	3	�	�	NOUN
iajs-2558	223	4	𝑀𝐿𝐸	𝑀𝐿𝐸	NOUN
iajs-2558	223	5	=	=	SYM
iajs-2558	223	6	𝟏.	𝟏.	X
iajs-2558	223	7	𝟗𝟖𝟖𝟏	𝟗𝟖𝟖𝟏	NUM
iajs-2558	223	8	,	,	PUNCT
iajs-2558	223	9	�	�	PROPN
iajs-2558	223	10	̂	̂	VERB
iajs-2558	223	11	�	�	NOUN
iajs-2558	223	12	𝑀𝐿𝐸	𝑀𝐿𝐸	NOUN
iajs-2558	223	13	=	=	SYM
iajs-2558	223	14	𝟎.	𝟎.	X
iajs-2558	223	15	𝟎𝟏𝟏𝟖	𝟎𝟏𝟏𝟖	NUM
iajs-2558	223	16	,	,	PUNCT
iajs-2558	223	17	�	�	PROPN
iajs-2558	223	18	̂	̂	NOUN
iajs-2558	223	19	�	�	NOUN
iajs-2558	223	20	𝑂𝐿𝑆	𝑂𝐿𝑆	NOUN
iajs-2558	223	21	=	=	SYM
iajs-2558	223	22	𝟓.	𝟓.	X
iajs-2558	223	23	𝟗𝟐𝟗𝟗	𝟗𝟐𝟗𝟗	NUM
iajs-2558	223	24	,	,	PUNCT
iajs-2558	223	25	�	�	NOUN
iajs-2558	223	26	̂	̂	NOUN
iajs-2558	223	27	�	�	NOUN
iajs-2558	223	28	𝑂𝐿𝑆	𝑂𝐿𝑆	ADJ
iajs-2558	223	29	=	=	PROPN
iajs-2558	223	30	0.0218	0.0218	NUM
iajs-2558	223	31	�	�	PROPN
iajs-2558	223	32	̂	̂	VERB
iajs-2558	223	33	�	�	NOUN
iajs-2558	223	34	𝑀𝐿𝐸	𝑀𝐿𝐸	NOUN
iajs-2558	223	35	=	=	SYM
iajs-2558	223	36	𝟏.	𝟏.	X
iajs-2558	223	37	𝟗𝟖𝟖𝟏	𝟗𝟖𝟖𝟏	NUM
iajs-2558	223	38	,	,	PUNCT
iajs-2558	223	39	�	�	PROPN
iajs-2558	223	40	̂	̂	VERB
iajs-2558	223	41	�	�	NOUN
iajs-2558	223	42	𝑀𝐿𝐸	𝑀𝐿𝐸	NOUN
iajs-2558	223	43	=	=	SYM
iajs-2558	223	44	𝟎.	𝟎.	X
iajs-2558	223	45	𝟎𝟏𝟏𝟖	𝟎𝟏𝟏𝟖	NUM
iajs-2558	223	46	,	,	PUNCT
iajs-2558	223	47	�	�	PROPN
iajs-2558	223	48	̂	̂	NOUN
iajs-2558	223	49	�	�	NOUN
iajs-2558	223	50	𝑂𝐿𝑆	𝑂𝐿𝑆	NOUN
iajs-2558	223	51	=	=	SYM
iajs-2558	223	52	𝟓.	𝟓.	X
iajs-2558	223	53	𝟗𝟐𝟗𝟗	𝟗𝟐𝟗𝟗	NUM
iajs-2558	223	54	,	,	PUNCT
iajs-2558	223	55	�	�	NOUN
iajs-2558	223	56	̂	̂	NOUN
iajs-2558	223	57	�	�	NOUN
iajs-2558	223	58	𝑂𝐿𝑆	𝑂𝐿𝑆	ADJ
iajs-2558	223	59	=	=	SYM
iajs-2558	223	60	0.0218	0.0218	NUM
iajs-2558	223	61	100	100	NUM
iajs-2558	223	62	ibn	ibn	PROPN
iajs-2558	223	63	al	al	PROPN
iajs-2558	223	64	-	-	PUNCT
iajs-2558	223	65	haitham	haitham	PROPN
iajs-2558	223	66	jour	jour	X
iajs-2558	223	67	.	.	PROPN
iajs-2558	224	1	for	for	ADP
iajs-2558	224	2	pure	pure	ADJ
iajs-2558	224	3	&	&	CCONJ
iajs-2558	224	4	appl	appl	PROPN
iajs-2558	224	5	.	.	PUNCT
iajs-2558	225	1	sci	sci	PROPN
iajs-2558	225	2	.	.	PROPN
iajs-2558	226	1	34	34	NUM
iajs-2558	226	2	(	(	PUNCT
iajs-2558	226	3	1	1	NUM
iajs-2558	226	4	)	)	PUNCT
iajs-2558	226	5	2021	2021	NUM
iajs-2558	226	6	�	�	SYM
iajs-2558	226	7	̂	̂	VERB
iajs-2558	226	8	�	�	NOUN
iajs-2558	226	9	𝑀𝐿𝐸	𝑀𝐿𝐸	NOUN
iajs-2558	226	10	=	=	SYM
iajs-2558	226	11	𝟏.	𝟏.	X
iajs-2558	226	12	𝟗𝟖𝟖𝟏	𝟗𝟖𝟖𝟏	NUM
iajs-2558	226	13	,	,	PUNCT
iajs-2558	226	14	�	�	PROPN
iajs-2558	226	15	̂	̂	VERB
iajs-2558	226	16	�	�	NOUN
iajs-2558	226	17	𝑀𝐿𝐸	𝑀𝐿𝐸	NOUN
iajs-2558	226	18	=	=	SYM
iajs-2558	226	19	𝟎.	𝟎.	X
iajs-2558	226	20	𝟎𝟏𝟏𝟖	𝟎𝟏𝟏𝟖	NUM
iajs-2558	226	21	,	,	PUNCT
iajs-2558	226	22	�	�	PROPN
iajs-2558	226	23	̂	̂	NOUN
iajs-2558	226	24	�	�	NOUN
iajs-2558	226	25	𝑂𝐿𝑆	𝑂𝐿𝑆	NOUN
iajs-2558	226	26	=	=	SYM
iajs-2558	226	27	𝟓.	𝟓.	X
iajs-2558	226	28	𝟗𝟐𝟗𝟗	𝟗𝟐𝟗𝟗	NUM
iajs-2558	226	29	,	,	PUNCT
iajs-2558	226	30	�	�	NOUN
iajs-2558	226	31	̂	̂	NOUN
iajs-2558	226	32	�	�	NOUN
iajs-2558	226	33	𝑂𝐿𝑆	𝑂𝐿𝑆	ADJ
iajs-2558	226	34	=	=	NOUN
iajs-2558	226	35	0.0218	0.0218	NUM
iajs-2558	226	36	101	101	NUM
iajs-2558	226	37	ibn	ibn	PROPN
iajs-2558	226	38	al	al	PROPN
iajs-2558	226	39	-	-	PUNCT
iajs-2558	226	40	haitham	haitham	PROPN
iajs-2558	226	41	jour	jour	X
iajs-2558	226	42	.	.	PROPN
iajs-2558	227	1	for	for	ADP
iajs-2558	227	2	pure	pure	ADJ
iajs-2558	227	3	&	&	CCONJ
iajs-2558	227	4	appl	appl	PROPN
iajs-2558	227	5	.	.	PUNCT
iajs-2558	228	1	sci	sci	PROPN
iajs-2558	228	2	.	.	PROPN
iajs-2558	229	1	34	34	NUM
iajs-2558	229	2	(	(	PUNCT
iajs-2558	229	3	1	1	NUM
iajs-2558	229	4	)	)	PUNCT
iajs-2558	229	5	2021	2021	NUM
iajs-2558	229	6	�	�	SYM
iajs-2558	229	7	̂	̂	VERB
iajs-2558	229	8	�	�	NOUN
iajs-2558	229	9	𝑀𝐿𝐸	𝑀𝐿𝐸	NOUN
iajs-2558	229	10	=	=	SYM
iajs-2558	229	11	𝟏.	𝟏.	X
iajs-2558	229	12	𝟗𝟖𝟖𝟏	𝟗𝟖𝟖𝟏	NUM
iajs-2558	229	13	,	,	PUNCT
iajs-2558	229	14	�	�	PROPN
iajs-2558	229	15	̂	̂	VERB
iajs-2558	229	16	�	�	NOUN
iajs-2558	229	17	𝑀𝐿𝐸	𝑀𝐿𝐸	NOUN
iajs-2558	229	18	=	=	SYM
iajs-2558	229	19	𝟎.	𝟎.	X
iajs-2558	229	20	𝟎𝟏𝟏𝟖	𝟎𝟏𝟏𝟖	NUM
iajs-2558	229	21	,	,	PUNCT
iajs-2558	229	22	�	�	PROPN
iajs-2558	229	23	̂	̂	NOUN
iajs-2558	229	24	�	�	NOUN
iajs-2558	229	25	𝑂𝐿𝑆	𝑂𝐿𝑆	NOUN
iajs-2558	229	26	=	=	SYM
iajs-2558	229	27	𝟓.	𝟓.	X
iajs-2558	229	28	𝟗𝟐𝟗𝟗	𝟗𝟐𝟗𝟗	NUM
iajs-2558	229	29	,	,	PUNCT
iajs-2558	229	30	�	�	NOUN
iajs-2558	229	31	̂	̂	NOUN
iajs-2558	229	32	�	�	NOUN
iajs-2558	229	33	𝑂𝐿𝑆	𝑂𝐿𝑆	ADJ
iajs-2558	229	34	=	=	SYM
iajs-2558	229	35	0.0218	0.0218	NUM
iajs-2558	229	36	102	102	NUM
iajs-2558	229	37	ibn	ibn	PROPN
iajs-2558	229	38	al	al	PROPN
iajs-2558	229	39	-	-	PUNCT
iajs-2558	229	40	haitham	haitham	PROPN
iajs-2558	229	41	jour	jour	X
iajs-2558	229	42	.	.	PROPN
iajs-2558	229	43	for	for	ADP
iajs-2558	229	44	pure	pure	ADJ
iajs-2558	229	45	&	&	CCONJ
iajs-2558	229	46	appl	appl	PROPN
iajs-2558	229	47	.	.	PUNCT
iajs-2558	230	1	sci	sci	PROPN
iajs-2558	230	2	.	.	PROPN
iajs-2558	231	1	34	34	NUM
iajs-2558	231	2	(	(	PUNCT
iajs-2558	231	3	1	1	NUM
iajs-2558	231	4	)	)	PUNCT
iajs-2558	231	5	2021	2021	NUM
iajs-2558	231	6	.conclusion	.conclusion	NOUN
iajs-2558	231	7	5	5	NUM
iajs-2558	231	8	1	1	NUM
iajs-2558	231	9	.	.	PUNCT
iajs-2558	232	1	in	in	ADP
iajs-2558	232	2	the	the	DET
iajs-2558	232	3	two	two	NUM
iajs-2558	232	4	estimation	estimation	NOUN
iajs-2558	232	5	methods	method	NOUN
iajs-2558	232	6	above	above	ADV
iajs-2558	232	7	,	,	PUNCT
iajs-2558	232	8	the	the	DET
iajs-2558	232	9	probability	probability	NOUN
iajs-2558	232	10	estimation	estimation	NOUN
iajs-2558	232	11	values	value	NOUN
iajs-2558	232	12	of	of	ADP
iajs-2558	232	13	the	the	DET
iajs-2558	232	14	survival	survival	NOUN
iajs-2558	232	15	function	function	NOUN
iajs-2558	232	16	are	be	AUX
iajs-2558	232	17	decreasing	decrease	VERB
iajs-2558	232	18	with	with	ADP
iajs-2558	232	19	the	the	DET
iajs-2558	232	20	increase	increase	NOUN
iajs-2558	232	21	in	in	ADP
iajs-2558	232	22	failure	failure	NOUN
iajs-2558	232	23	time	time	NOUN
iajs-2558	232	24	values	value	NOUN
iajs-2558	232	25	.	.	PUNCT
iajs-2558	233	1	this	this	PRON
iajs-2558	233	2	shows	show	VERB
iajs-2558	233	3	that	that	SCONJ
iajs-2558	233	4	there	there	PRON
iajs-2558	233	5	is	be	VERB
iajs-2558	233	6	an	an	DET
iajs-2558	233	7	inverse	inverse	NOUN
iajs-2558	233	8	relationship	relationship	NOUN
iajs-2558	233	9	between	between	ADP
iajs-2558	233	10	the	the	DET
iajs-2558	233	11	probability	probability	NOUN
iajs-2558	233	12	survival	survival	NOUN
iajs-2558	233	13	function	function	NOUN
iajs-2558	233	14	and	and	CCONJ
iajs-2558	233	15	the	the	DET
iajs-2558	233	16	failure	failure	NOUN
iajs-2558	233	17	times	time	NOUN
iajs-2558	233	18	.	.	PUNCT
iajs-2558	234	1	2	2	X
iajs-2558	234	2	.	.	X
iajs-2558	234	3	in	in	ADP
iajs-2558	234	4	the	the	DET
iajs-2558	234	5	two	two	NUM
iajs-2558	234	6	estimation	estimation	NOUN
iajs-2558	234	7	methods	method	NOUN
iajs-2558	234	8	,	,	PUNCT
iajs-2558	234	9	we	we	PRON
iajs-2558	234	10	can	can	AUX
iajs-2558	234	11	watch	watch	VERB
iajs-2558	234	12	the	the	DET
iajs-2558	234	13	estimation	estimation	NOUN
iajs-2558	234	14	value	value	NOUN
iajs-2558	234	15	of	of	ADP
iajs-2558	234	16	the	the	DET
iajs-2558	234	17	probability	probability	NOUN
iajs-2558	234	18	hazard	hazard	NOUN
iajs-2558	234	19	function	function	NOUN
iajs-2558	234	20	is	be	AUX
iajs-2558	234	21	increasing	increase	VERB
iajs-2558	234	22	with	with	ADP
iajs-2558	234	23	the	the	DET
iajs-2558	234	24	increase	increase	NOUN
iajs-2558	234	25	in	in	ADP
iajs-2558	234	26	failure	failure	NOUN
iajs-2558	234	27	times	time	NOUN
iajs-2558	234	28	,	,	PUNCT
iajs-2558	234	29	and	and	CCONJ
iajs-2558	234	30	then	then	ADV
iajs-2558	234	31	it	it	PRON
iajs-2558	234	32	is	be	AUX
iajs-2558	234	33	very	very	ADV
iajs-2558	234	34	clear	clear	ADJ
iajs-2558	234	35	that	that	SCONJ
iajs-2558	234	36	this	this	DET
iajs-2558	234	37	relationship	relationship	NOUN
iajs-2558	234	38	is	be	AUX
iajs-2558	234	39	direct	direct	ADJ
iajs-2558	234	40	between	between	ADP
iajs-2558	234	41	the	the	DET
iajs-2558	234	42	times	time	NOUN
iajs-2558	234	43	of	of	ADP
iajs-2558	234	44	failure	failure	NOUN
iajs-2558	234	45	and	and	CCONJ
iajs-2558	234	46	the	the	DET
iajs-2558	234	47	probability	probability	NOUN
iajs-2558	234	48	hazard	hazard	NOUN
iajs-2558	234	49	function	function	NOUN
iajs-2558	234	50	.	.	PUNCT
iajs-2558	235	1	3	3	X
iajs-2558	235	2	.	.	X
iajs-2558	235	3	from	from	ADP
iajs-2558	235	4	our	our	PRON
iajs-2558	235	5	reading	reading	NOUN
iajs-2558	235	6	of	of	ADP
iajs-2558	235	7	the	the	DET
iajs-2558	235	8	values	value	NOUN
iajs-2558	235	9	of	of	ADP
iajs-2558	235	10	the	the	DET
iajs-2558	235	11	estimated	estimate	VERB
iajs-2558	235	12	probability	probability	NOUN
iajs-2558	235	13	density	density	NOUN
iajs-2558	235	14	function	function	NOUN
iajs-2558	235	15	of	of	ADP
iajs-2558	235	16	the	the	DET
iajs-2558	235	17	two	two	NUM
iajs-2558	235	18	methods	method	NOUN
iajs-2558	235	19	used	use	VERB
iajs-2558	235	20	are	be	AUX
iajs-2558	235	21	increasing	increase	VERB
iajs-2558	235	22	values	value	NOUN
iajs-2558	235	23	until	until	ADP
iajs-2558	235	24	the	the	DET
iajs-2558	235	25	time	time	NOUN
iajs-2558	235	26	of	of	ADP
iajs-2558	235	27	failure	failure	NOUN
iajs-2558	235	28	(	(	PUNCT
iajs-2558	235	29	x	x	SYM
iajs-2558	235	30	=	=	SYM
iajs-2558	235	31	11	11	NUM
iajs-2558	235	32	)	)	PUNCT
iajs-2558	235	33	in	in	ADP
iajs-2558	235	34	mle	mle	PROPN
iajs-2558	235	35	and	and	CCONJ
iajs-2558	235	36	(	(	PUNCT
iajs-2558	235	37	x=7)in	x=7)in	PROPN
iajs-2558	235	38	ols	ols	PROPN
iajs-2558	235	39	,	,	PUNCT
iajs-2558	235	40	then	then	ADV
iajs-2558	235	41	the	the	DET
iajs-2558	235	42	probability	probability	NOUN
iajs-2558	235	43	density	density	NOUN
iajs-2558	235	44	function	function	NOUN
iajs-2558	235	45	decreases	decrease	VERB
iajs-2558	235	46	with	with	ADP
iajs-2558	235	47	increasing	increase	VERB
iajs-2558	235	48	failure	failure	NOUN
iajs-2558	235	49	times	time	NOUN
iajs-2558	235	50	.	.	PUNCT
iajs-2558	236	1	this	this	PRON
iajs-2558	236	2	shows	show	VERB
iajs-2558	236	3	us	we	PRON
iajs-2558	236	4	that	that	SCONJ
iajs-2558	236	5	the	the	DET
iajs-2558	236	6	relationship	relationship	NOUN
iajs-2558	236	7	between	between	ADP
iajs-2558	236	8	the	the	DET
iajs-2558	236	9	probability	probability	NOUN
iajs-2558	236	10	density	density	NOUN
iajs-2558	236	11	function	function	NOUN
iajs-2558	236	12	and	and	CCONJ
iajs-2558	236	13	the	the	DET
iajs-2558	236	14	failure	failure	NOUN
iajs-2558	236	15	times	time	NOUN
iajs-2558	236	16	is	be	AUX
iajs-2558	236	17	not	not	PART
iajs-2558	236	18	constant	constant	ADJ
iajs-2558	236	19	i.e.	i.e.	X
iajs-2558	236	20	according	accord	VERB
iajs-2558	236	21	to	to	ADP
iajs-2558	236	22	the	the	DET
iajs-2558	236	23	values	value	NOUN
iajs-2558	236	24	of	of	ADP
iajs-2558	236	25	failure	failure	NOUN
iajs-2558	236	26	times	time	NOUN
iajs-2558	236	27	.	.	PUNCT
iajs-2558	237	1	4	4	X
iajs-2558	237	2	.	.	X
iajs-2558	237	3	that	that	PRON
iajs-2558	237	4	clear	clear	VERB
iajs-2558	237	5	the	the	DET
iajs-2558	237	6	values	value	NOUN
iajs-2558	237	7	of	of	ADP
iajs-2558	237	8	the	the	DET
iajs-2558	237	9	cumulative	cumulative	ADJ
iajs-2558	237	10	distribution	distribution	NOUN
iajs-2558	237	11	function	function	NOUN
iajs-2558	237	12	are	be	AUX
iajs-2558	237	13	increasing	increase	VERB
iajs-2558	237	14	with	with	ADP
iajs-2558	237	15	increasing	increase	VERB
iajs-2558	237	16	the	the	DET
iajs-2558	237	17	values	value	NOUN
iajs-2558	237	18	of	of	ADP
iajs-2558	237	19	failure	failure	NOUN
iajs-2558	237	20	times	time	NOUN
iajs-2558	237	21	.	.	PUNCT
iajs-2558	237	22	103	103	NUM
iajs-2558	238	1	ibn	ibn	PROPN
iajs-2558	238	2	al	al	PROPN
iajs-2558	238	3	-	-	PUNCT
iajs-2558	238	4	haitham	haitham	PROPN
iajs-2558	238	5	jour	jour	X
iajs-2558	238	6	.	.	PROPN
iajs-2558	238	7	for	for	ADP
iajs-2558	238	8	pure	pure	ADJ
iajs-2558	238	9	&	&	CCONJ
iajs-2558	238	10	appl	appl	PROPN
iajs-2558	238	11	.	.	PUNCT
iajs-2558	239	1	sci	sci	PROPN
iajs-2558	239	2	.	.	PROPN
iajs-2558	240	1	34	34	NUM
iajs-2558	240	2	(	(	PUNCT
iajs-2558	240	3	1	1	NUM
iajs-2558	240	4	)	)	PUNCT
iajs-2558	240	5	2021	2021	NUM
iajs-2558	240	6	5	5	NUM
iajs-2558	240	7	.	.	PUNCT
iajs-2558	240	8	observing	observe	VERB
iajs-2558	240	9	that	that	SCONJ
iajs-2558	240	10	the	the	DET
iajs-2558	240	11	estimation	estimation	NOUN
iajs-2558	240	12	values	value	NOUN
iajs-2558	240	13	of	of	ADP
iajs-2558	240	14	the	the	DET
iajs-2558	240	15	parameters	parameter	NOUN
iajs-2558	240	16	which	which	PRON
iajs-2558	240	17	are	be	AUX
iajs-2558	240	18	the	the	DET
iajs-2558	240	19	shape	shape	NOUN
iajs-2558	240	20	parameter	parameter	NOUN
iajs-2558	240	21	and	and	CCONJ
iajs-2558	240	22	the	the	DET
iajs-2558	240	23	scale	scale	NOUN
iajs-2558	240	24	parameter	parameter	NOUN
iajs-2558	240	25	in	in	ADP
iajs-2558	240	26	the	the	DET
iajs-2558	240	27	weighted	weighted	ADJ
iajs-2558	240	28	rayleigh	rayleigh	NOUN
iajs-2558	240	29	distribution	distribution	NOUN
iajs-2558	240	30	.	.	PUNCT
iajs-2558	241	1	it	it	PRON
iajs-2558	241	2	is	be	AUX
iajs-2558	241	3	clear	clear	ADJ
iajs-2558	241	4	that	that	SCONJ
iajs-2558	241	5	for	for	ADP
iajs-2558	241	6	the	the	DET
iajs-2558	241	7	�	�	PROPN
iajs-2558	241	8	̂	̂	SYM
iajs-2558	241	9	�	�	PROPN
iajs-2558	241	10	values	value	NOUN
iajs-2558	241	11	is	be	AUX
iajs-2558	241	12	one	one	NUM
iajs-2558	241	13	close	close	ADJ
iajs-2558	241	14	to	to	ADP
iajs-2558	241	15	the	the	DET
iajs-2558	241	16	other	other	ADJ
iajs-2558	241	17	in	in	ADP
iajs-2558	241	18	the	the	DET
iajs-2558	241	19	mle	mle	NOUN
iajs-2558	241	20	,	,	PUNCT
iajs-2558	241	21	ols	ol	NOUN
iajs-2558	241	22	method	method	NOUN
iajs-2558	241	23	but	but	CCONJ
iajs-2558	241	24	on	on	ADP
iajs-2558	241	25	the	the	DET
iajs-2558	241	26	other	other	ADJ
iajs-2558	241	27	hand	hand	NOUN
iajs-2558	241	28	,	,	PUNCT
iajs-2558	241	29	the	the	DET
iajs-2558	241	30	value	value	NOUN
iajs-2558	241	31	of	of	ADP
iajs-2558	241	32	�	�	PROPN
iajs-2558	241	33	̂	̂	SYM
iajs-2558	241	34	�	�	NOUN
iajs-2558	241	35	is	be	AUX
iajs-2558	241	36	close	close	ADJ
iajs-2558	241	37	to	to	ADP
iajs-2558	241	38	one	one	NUM
iajs-2558	241	39	unit	unit	NOUN
iajs-2558	241	40	of	of	ADP
iajs-2558	241	41	the	the	DET
iajs-2558	241	42	other	other	ADJ
iajs-2558	241	43	.	.	PUNCT
iajs-2558	242	1	in	in	ADP
iajs-2558	242	2	the	the	DET
iajs-2558	242	3	table	table	NOUN
iajs-2558	242	4	below	below	ADV
iajs-2558	242	5	,	,	PUNCT
iajs-2558	242	6	the	the	DET
iajs-2558	242	7	estimate	estimate	NOUN
iajs-2558	242	8	values	value	NOUN
iajs-2558	242	9	of	of	ADP
iajs-2558	242	10	the	the	DET
iajs-2558	242	11	two	two	NUM
iajs-2558	242	12	parameters	parameter	NOUN
iajs-2558	242	13	for	for	ADP
iajs-2558	242	14	weighted	weight	VERB
iajs-2558	242	15	rayleigh	rayleigh	NOUN
iajs-2558	242	16	distribution	distribution	NOUN
iajs-2558	242	17	by	by	ADP
iajs-2558	242	18	mle	mle	PROPN
iajs-2558	242	19	and	and	CCONJ
iajs-2558	242	20	ols	ol	NOUN
iajs-2558	242	21	can	can	AUX
iajs-2558	242	22	be	be	AUX
iajs-2558	242	23	show	show	NOUN
iajs-2558	242	24	in	in	ADP
iajs-2558	242	25	following	follow	VERB
iajs-2558	242	26	table	table	NOUN
iajs-2558	242	27	:	:	PUNCT
iajs-2558	242	28	table	table	NOUN
iajs-2558	242	29	3	3	NUM
iajs-2558	242	30	.	.	NUM
iajs-2558	242	31	estimate	estimate	VERB
iajs-2558	242	32	the	the	DET
iajs-2558	242	33	values	value	NOUN
iajs-2558	242	34	of	of	ADP
iajs-2558	242	35	�	�	PROPN
iajs-2558	242	36	̂	̂	SYM
iajs-2558	242	37	�	�	PROPN
iajs-2558	242	38	,	,	PUNCT
iajs-2558	242	39	�	�	PROPN
iajs-2558	242	40	̂	̂	VERB
iajs-2558	242	41	�	�	PROPN
iajs-2558	242	42	by	by	ADP
iajs-2558	242	43	mle	mle	PROPN
iajs-2558	242	44	and	and	CCONJ
iajs-2558	242	45	ols	ol	NOUN
iajs-2558	242	46	methods	method	NOUN
iajs-2558	242	47	6	6	NUM
iajs-2558	242	48	.	.	PUNCT
iajs-2558	243	1	note	note	VERB
iajs-2558	243	2	that	that	SCONJ
iajs-2558	243	3	,	,	PUNCT
iajs-2558	243	4	as	as	SCONJ
iajs-2558	243	5	is	be	AUX
iajs-2558	243	6	known	know	VERB
iajs-2558	243	7	,	,	PUNCT
iajs-2558	243	8	the	the	DET
iajs-2558	243	9	values	value	NOUN
iajs-2558	243	10	of	of	ADP
iajs-2558	243	11	the	the	DET
iajs-2558	243	12	probability	probability	NOUN
iajs-2558	243	13	hazard	hazard	NOUN
iajs-2558	243	14	function	function	NOUN
iajs-2558	243	15	depend	depend	VERB
iajs-2558	243	16	on	on	ADP
iajs-2558	243	17	the	the	DET
iajs-2558	243	18	value	value	NOUN
iajs-2558	243	19	of	of	ADP
iajs-2558	243	20	the	the	DET
iajs-2558	243	21	shape	shape	NOUN
iajs-2558	243	22	parameter	parameter	NOUN
iajs-2558	243	23	,	,	PUNCT
iajs-2558	243	24	thus	thus	ADV
iajs-2558	243	25	the	the	DET
iajs-2558	243	26	probability	probability	NOUN
iajs-2558	243	27	hazard	hazard	NOUN
iajs-2558	243	28	function	function	NOUN
iajs-2558	243	29	is	be	AUX
iajs-2558	243	30	an	an	DET
iajs-2558	243	31	increasing	increase	VERB
iajs-2558	243	32	such	such	ADJ
iajs-2558	243	33	that	that	SCONJ
iajs-2558	243	34	(	(	PUNCT
iajs-2558	243	35	α	α	X
iajs-2558	243	36	>	>	X
iajs-2558	243	37	1	1	NUM
iajs-2558	243	38	)	)	PUNCT
iajs-2558	243	39	for	for	ADP
iajs-2558	243	40	the	the	DET
iajs-2558	243	41	two	two	NUM
iajs-2558	243	42	estimation	estimation	NOUN
iajs-2558	243	43	methods	method	NOUN
iajs-2558	243	44	.	.	PUNCT
iajs-2558	244	1	9	9	X
iajs-2558	244	2	.	.	X
iajs-2558	245	1	the	the	DET
iajs-2558	245	2	mean	mean	ADJ
iajs-2558	245	3	squares	square	NOUN
iajs-2558	245	4	error	error	NOUN
iajs-2558	245	5	values	value	NOUN
iajs-2558	245	6	for	for	ADP
iajs-2558	245	7	the	the	DET
iajs-2558	245	8	mle	mle	NOUN
iajs-2558	245	9	,	,	PUNCT
iajs-2558	245	10	ols	ol	NOUN
iajs-2558	245	11	methods	method	NOUN
iajs-2558	245	12	by	by	ADP
iajs-2558	245	13	using	use	VERB
iajs-2558	245	14	the	the	DET
iajs-2558	245	15	equation	equation	NOUN
iajs-2558	245	16	is	be	AUX
iajs-2558	245	17	:	:	PUNCT
iajs-2558	245	18	𝑀𝑆𝐸[	𝑀𝑆𝐸[	PUNCT
iajs-2558	245	19	�	�	PROPN
iajs-2558	245	20	̂	̂	SYM
iajs-2558	245	21	�	�	NOUN
iajs-2558	245	22	(t	(t	NOUN
iajs-2558	245	23	)	)	PUNCT
iajs-2558	245	24	]	]	PUNCT
iajs-2558	246	1	=	=	PUNCT
iajs-2558	246	2	∑	∑	PUNCT
iajs-2558	246	3	[	[	X
iajs-2558	246	4	�	�	NOUN
iajs-2558	246	5	̂	̂	SYM
iajs-2558	246	6	�	�	PROPN
iajs-2558	246	7	(t)−s(t)]2𝑛	(t)−s(t)]2𝑛	NOUN
iajs-2558	246	8	𝑖=1	𝑖=1	PROPN
iajs-2558	246	9	𝑛	𝑛	PROPN
iajs-2558	246	10	(	(	PUNCT
iajs-2558	246	11	40	40	NUM
iajs-2558	246	12	)	)	PUNCT
iajs-2558	246	13	we	we	PRON
iajs-2558	246	14	find	find	VERB
iajs-2558	246	15	the	the	DET
iajs-2558	246	16	mse	mse	NOUN
iajs-2558	246	17	for	for	ADP
iajs-2558	246	18	mle	mle	PROPN
iajs-2558	246	19	and	and	CCONJ
iajs-2558	246	20	ols	ol	NOUN
iajs-2558	246	21	and	and	CCONJ
iajs-2558	246	22	there	there	PRON
iajs-2558	246	23	is	be	VERB
iajs-2558	246	24	a	a	DET
iajs-2558	246	25	clear	clear	ADJ
iajs-2558	246	26	difference	difference	NOUN
iajs-2558	246	27	and	and	CCONJ
iajs-2558	246	28	eventually	eventually	ADV
iajs-2558	246	29	.	.	PUNCT
iajs-2558	247	1	the	the	DET
iajs-2558	247	2	mle	mle	PROPN
iajs-2558	247	3	method	method	NOUN
iajs-2558	247	4	is	be	AUX
iajs-2558	247	5	better	well	ADJ
iajs-2558	247	6	than	than	ADP
iajs-2558	247	7	ols	ol	NOUN
iajs-2558	247	8	as	as	ADP
iajs-2558	247	9	below	below	ADV
iajs-2558	247	10	:	:	PUNCT
iajs-2558	247	11	mse	mse	PROPN
iajs-2558	247	12	ols	ol	NOUN
iajs-2558	247	13	mle	mle	PROPN
iajs-2558	247	14	0.0626	0.0626	NUM
iajs-2558	247	15	0.0006	0.0006	NUM
iajs-2558	247	16	references	reference	NOUN
iajs-2558	247	17	1	1	NUM
iajs-2558	247	18	.	.	PUNCT
iajs-2558	248	1	azzalini	azzalini	PROPN
iajs-2558	248	2	,	,	PUNCT
iajs-2558	248	3	a.	a.	NOUN
iajs-2558	248	4	a	a	DET
iajs-2558	248	5	class	class	NOUN
iajs-2558	248	6	of	of	ADP
iajs-2558	248	7	distributions	distribution	NOUN
iajs-2558	248	8	which	which	PRON
iajs-2558	248	9	includes	include	VERB
iajs-2558	248	10	.	.	PUNCT
iajs-2558	249	1	the	the	DET
iajs-2558	249	2	normal	normal	ADJ
iajs-2558	249	3	ones	one	NOUN
iajs-2558	249	4	,	,	PUNCT
iajs-2558	249	5	board	board	NOUN
iajs-2558	249	6	of	of	ADP
iajs-2558	249	7	the	the	DET
iajs-2558	249	8	foundation	foundation	NOUN
iajs-2558	249	9	of	of	ADP
iajs-2558	249	10	the	the	DET
iajs-2558	249	11	scandinavian	scandinavian	ADJ
iajs-2558	249	12	journal	journal	NOUN
iajs-2558	249	13	of	of	ADP
iajs-2558	249	14	statistics.1985	statistics.1985	PROPN
iajs-2558	249	15	,	,	PUNCT
iajs-2558	249	16	12	12	NUM
iajs-2558	249	17	,	,	PUNCT
iajs-2558	249	18	2	2	NUM
iajs-2558	249	19	,	,	PUNCT
iajs-2558	249	20	171	171	NUM
iajs-2558	249	21	-	-	SYM
iajs-2558	249	22	178	178	NUM
iajs-2558	249	23	.	.	NOUN
iajs-2558	250	1	2	2	NUM
iajs-2558	250	2	.	.	X
iajs-2558	250	3	gupta	gupta	PROPN
iajs-2558	250	4	,	,	PUNCT
iajs-2558	250	5	r.d	r.d	PROPN
iajs-2558	250	6	.	.	PROPN
iajs-2558	250	7	;	;	PUNCT
iajs-2558	250	8	kundu	kundu	NOUN
iajs-2558	250	9	,	,	PUNCT
iajs-2558	250	10	d.	d.	PROPN
iajs-2558	250	11	a	a	DET
iajs-2558	250	12	new	new	ADJ
iajs-2558	250	13	class	class	NOUN
iajs-2558	250	14	of	of	ADP
iajs-2558	250	15	weighted	weight	VERB
iajs-2558	250	16	exponential	exponential	ADJ
iajs-2558	250	17	distributions	distribution	NOUN
iajs-2558	250	18	,	,	PUNCT
iajs-2558	250	19	a	a	DET
iajs-2558	250	20	journal	journal	NOUN
iajs-2558	250	21	of	of	ADP
iajs-2558	250	22	the	the	DET
iajs-2558	250	23	article	article	NOUN
iajs-2558	250	24	and	and	CCONJ
iajs-2558	250	25	applied	apply	VERB
iajs-2558	250	26	statistics.2009	statistics.2009	PROPN
iajs-2558	250	27	,	,	PUNCT
iajs-2558	250	28	43	43	NUM
iajs-2558	250	29	,	,	PUNCT
iajs-2558	250	30	6	6	NUM
iajs-2558	250	31	,	,	PUNCT
iajs-2558	250	32	621	621	NUM
iajs-2558	250	33	-	-	SYM
iajs-2558	250	34	634	634	NUM
iajs-2558	250	35	.	.	PUNCT
iajs-2558	251	1	3	3	X
iajs-2558	251	2	.	.	X
iajs-2558	251	3	shahbaz	shahbaz	PROPN
iajs-2558	251	4	,	,	PUNCT
iajs-2558	251	5	s.	s.	PROPN
iajs-2558	251	6	;	;	PUNCT
iajs-2558	251	7	shah	shah	PROPN
iajs-2558	251	8	76غ	76غ	NOUN
iajs-2558	251	9	baz	baz	PROPN
iajs-2558	251	10	,	,	PUNCT
iajs-2558	251	11	m.q	m.q	PROPN
iajs-2558	251	12	.	.	PROPN
iajs-2558	251	13	;	;	PUNCT
iajs-2558	251	14	butt	butt	PROPN
iajs-2558	251	15	,	,	PUNCT
iajs-2558	251	16	n.s	n.s	PROPN
iajs-2558	251	17	.	.	PROPN
iajs-2558	252	1	a	a	DET
iajs-2558	252	2	class	class	NOUN
iajs-2558	252	3	of	of	ADP
iajs-2558	252	4	weighted	weight	VERB
iajs-2558	252	5	weibull	weibull	NOUN
iajs-2558	252	6	distribution	distribution	NOUN
iajs-2558	252	7	,	,	PUNCT
iajs-2558	252	8	scorn	scorn	VERB
iajs-2558	252	9	electronic	electronic	ADJ
iajs-2558	252	10	journal.2010	journal.2010	PROPN
iajs-2558	252	11	,	,	PUNCT
iajs-2558	252	12	6	6	NUM
iajs-2558	252	13	,	,	PUNCT
iajs-2558	252	14	1	1	NUM
iajs-2558	252	15	,	,	PUNCT
iajs-2558	252	16	53	53	NUM
iajs-2558	252	17	-	-	SYM
iajs-2558	252	18	59	59	NUM
iajs-2558	252	19	.	.	PUNCT
iajs-2558	253	1	4	4	NUM
iajs-2558	253	2	.	.	X
iajs-2558	254	1	ramadan	ramadan	PROPN
iajs-2558	254	2	,	,	PUNCT
iajs-2558	254	3	m.	m.	NOUN
iajs-2558	254	4	m	m	VERB
iajs-2558	254	5	a	a	DET
iajs-2558	254	6	class	class	NOUN
iajs-2558	254	7	of	of	ADP
iajs-2558	254	8	weighed	weigh	VERB
iajs-2558	254	9	gamma	gamma	NOUN
iajs-2558	254	10	distributions	distribution	NOUN
iajs-2558	254	11	its	its	PRON
iajs-2558	254	12	properties	property	NOUN
iajs-2558	254	13	,	,	PUNCT
iajs-2558	254	14	economic	economic	ADJ
iajs-2558	254	15	quality	quality	NOUN
iajs-2558	254	16	control.2010	control.2010	PROPN
iajs-2558	254	17	,	,	PUNCT
iajs-2558	254	18	26	26	NUM
iajs-2558	254	19	,	,	PUNCT
iajs-2558	254	20	2	2	NUM
iajs-2558	254	21	,	,	PUNCT
iajs-2558	254	22	133	133	NUM
iajs-2558	254	23	-	-	SYM
iajs-2558	254	24	144	144	NUM
iajs-2558	254	25	.	.	NOUN
iajs-2558	255	1	5	5	NUM
iajs-2558	255	2	.	.	X
iajs-2558	255	3	essam	essam	PROPN
iajs-2558	255	4	,	,	PUNCT
iajs-2558	255	5	a.a	a.a	PROPN
iajs-2558	255	6	.	.	PROPN
iajs-2558	255	7	;	;	PUNCT
iajs-2558	255	8	mohamed	mohamed	PROPN
iajs-2558	255	9	,	,	PUNCT
iajs-2558	255	10	a.h	a.h	PROPN
iajs-2558	255	11	.	.	PROPN
iajs-2558	255	12	a	a	DET
iajs-2558	255	13	weighted	weight	VERB
iajs-2558	255	14	three	three	NUM
iajs-2558	255	15	–	–	PUNCT
iajs-2558	255	16	parameters	parameter	NOUN
iajs-2558	255	17	weibull	weibull	NOUN
iajs-2558	255	18	distribution	distribution	NOUN
iajs-2558	255	19	,	,	PUNCT
iajs-2558	255	20	journal	journal	NOUN
iajs-2558	255	21	of	of	ADP
iajs-2558	255	22	applied	apply	VERB
iajs-2558	255	23	sciences	sciences	PROPN
iajs-2558	255	24	research.2014	research.2014	PROPN
iajs-2558	255	25	,	,	PUNCT
iajs-2558	255	26	9	9	NUM
iajs-2558	255	27	,	,	PUNCT
iajs-2558	255	28	13	13	NUM
iajs-2558	255	29	,	,	PUNCT
iajs-2558	255	30	6627	6627	NUM
iajs-2558	255	31	-	-	SYM
iajs-2558	255	32	6635	6635	NUM
iajs-2558	255	33	.	.	PUNCT
iajs-2558	256	1	6	6	NUM
iajs-2558	256	2	.	.	X
iajs-2558	256	3	farahani	farahani	PROPN
iajs-2558	256	4	,	,	PUNCT
iajs-2558	256	5	z.s.m	z.s.m	PROPN
iajs-2558	256	6	.	.	PROPN
iajs-2558	256	7	;	;	PUNCT
iajs-2558	256	8	khorram	khorram	PROPN
iajs-2558	256	9	,	,	PUNCT
iajs-2558	256	10	e.	e.	PROPN
iajs-2558	256	11	bayesian	bayesian	PROPN
iajs-2558	256	12	statistical	statistical	ADJ
iajs-2558	256	13	inference	inference	NOUN
iajs-2558	256	14	for	for	ADP
iajs-2558	256	15	weighted	weight	VERB
iajs-2558	256	16	exponential	exponential	ADJ
iajs-2558	256	17	distribution	distribution	NOUN
iajs-2558	256	18	,	,	PUNCT
iajs-2558	256	19	taylor	taylor	PROPN
iajs-2558	256	20	and	and	CCONJ
iajs-2558	256	21	francis	francis	PROPN
iajs-2558	256	22	group	group	PROPN
iajs-2558	256	23	.	.	PUNCT
iajs-2558	257	1	llc.2014	llc.2014	NUM
iajs-2558	257	2	,	,	PUNCT
iajs-2558	257	3	43	43	NUM
iajs-2558	257	4	,	,	PUNCT
iajs-2558	257	5	6	6	NUM
iajs-2558	257	6	,	,	PUNCT
iajs-2558	257	7	1384	1384	NUM
iajs-2558	257	8	-	-	SYM
iajs-2558	257	9	1462	1462	NUM
iajs-2558	257	10	.	.	PUNCT
iajs-2558	258	1	7	7	X
iajs-2558	258	2	.	.	X
iajs-2558	258	3	tawfiq	tawfiq	PROPN
iajs-2558	258	4	,	,	PUNCT
iajs-2558	258	5	lnm	lnm	PROPN
iajs-2558	258	6	.	.	PUNCT
iajs-2558	258	7	;	;	PUNCT
iajs-2558	259	1	jabber	jabber	PROPN
iajs-2558	259	2	,	,	PUNCT
iajs-2558	259	3	ak	ak	PROPN
iajs-2558	259	4	.	.	PROPN
iajs-2558	259	5	mathematical	mathematical	ADJ
iajs-2558	259	6	modeling	modeling	NOUN
iajs-2558	259	7	of	of	ADP
iajs-2558	259	8	groundwater	groundwater	NOUN
iajs-2558	259	9	flow	flow	NOUN
iajs-2558	259	10	.	.	PUNCT
iajs-2558	260	1	global	global	ADJ
iajs-2558	260	2	journal	journal	PROPN
iajs-2558	260	3	of	of	ADP
iajs-2558	260	4	engineering	engineering	NOUN
iajs-2558	260	5	science	science	NOUN
iajs-2558	260	6	and	and	CCONJ
iajs-2558	260	7	researches	research	NOUN
iajs-2558	260	8	.	.	PUNCT
iajs-2558	261	1	2016	2016	NUM
iajs-2558	261	2	,	,	PUNCT
iajs-2558	261	3	3	3	NUM
iajs-2558	261	4	,	,	PUNCT
iajs-2558	261	5	10	10	NUM
iajs-2558	261	6	,	,	PUNCT
iajs-2558	261	7	15	15	NUM
iajs-2558	261	8	-	-	SYM
iajs-2558	261	9	22	22	NUM
iajs-2558	261	10	.	.	PUNCT
iajs-2558	262	1	�	�	PROPN
iajs-2558	262	2	̂	̂	PROPN
iajs-2558	262	3	�	�	PROPN
iajs-2558	262	4	�	�	PROPN
iajs-2558	262	5	̂	̂	PROPN
iajs-2558	262	6	�	�	NOUN
iajs-2558	262	7	the	the	DET
iajs-2558	262	8	methods	method	NOUN
iajs-2558	262	9	0.0118	0.0118	NUM
iajs-2558	262	10	1.9881	1.9881	NUM
iajs-2558	262	11	mle	mle	NOUN
iajs-2558	262	12	0.0218	0.0218	NUM
iajs-2558	262	13	5.9299	5.9299	NUM
iajs-2558	262	14	ols	ol	NOUN
iajs-2558	262	15	104	104	NUM
iajs-2558	262	16	ibn	ibn	PROPN
iajs-2558	262	17	al	al	PROPN
iajs-2558	262	18	-	-	PUNCT
iajs-2558	262	19	haitham	haitham	PROPN
iajs-2558	262	20	jour	jour	X
iajs-2558	262	21	.	.	PROPN
iajs-2558	263	1	for	for	ADP
iajs-2558	263	2	pure	pure	ADJ
iajs-2558	263	3	&	&	CCONJ
iajs-2558	263	4	appl	appl	PROPN
iajs-2558	263	5	.	.	PUNCT
iajs-2558	264	1	sci	sci	PROPN
iajs-2558	264	2	.	.	PROPN
iajs-2558	265	1	34	34	NUM
iajs-2558	265	2	(	(	PUNCT
iajs-2558	265	3	1	1	NUM
iajs-2558	265	4	)	)	PUNCT
iajs-2558	265	5	2021	2021	NUM
iajs-2558	265	6	8	8	NUM
iajs-2558	265	7	.	.	PUNCT
iajs-2558	266	1	oguntunde	oguntunde	NOUN
iajs-2558	266	2	,	,	PUNCT
iajs-2558	266	3	p.	p.	PROPN
iajs-2558	266	4	e.	e.	PROPN
iajs-2558	267	1	on	on	ADP
iajs-2558	267	2	the	the	DET
iajs-2558	267	3	exponentiated	exponentiated	PROPN
iajs-2558	267	4	weighted	weight	VERB
iajs-2558	267	5	exponential	exponential	ADJ
iajs-2558	267	6	distribution	distribution	NOUN
iajs-2558	267	7	and	and	CCONJ
iajs-2558	267	8	its	its	PRON
iajs-2558	267	9	basic	basic	ADJ
iajs-2558	267	10	statistical	statistical	ADJ
iajs-2558	267	11	properties	property	NOUN
iajs-2558	267	12	.	.	PUNCT
iajs-2558	268	1	psci	psci	PROPN
iajs-2558	269	1	publication.2015	publication.2015	ADP
iajs-2558	269	2	,	,	PUNCT
iajs-2558	269	3	10	10	NUM
iajs-2558	269	4	,	,	PUNCT
iajs-2558	269	5	3	3	NUM
iajs-2558	269	6	,	,	PUNCT
iajs-2558	269	7	160	160	NUM
iajs-2558	269	8	-	-	SYM
iajs-2558	269	9	167	167	NUM
iajs-2558	269	10	.	.	PUNCT
iajs-2558	270	1	9	9	X
iajs-2558	270	2	.	.	X
iajs-2558	270	3	zahrani	zahrani	PROPN
iajs-2558	270	4	,	,	PUNCT
iajs-2558	270	5	b.	b.	PROPN
iajs-2558	270	6	on	on	ADP
iajs-2558	270	7	the	the	DET
iajs-2558	270	8	estimation	estimation	NOUN
iajs-2558	270	9	of	of	ADP
iajs-2558	270	10	reliability	reliability	NOUN
iajs-2558	270	11	of	of	ADP
iajs-2558	270	12	weighted	weight	VERB
iajs-2558	270	13	weibull	weibull	NOUN
iajs-2558	270	14	distribution	distribution	NOUN
iajs-2558	270	15	:	:	PUNCT
iajs-2558	270	16	a	a	DET
iajs-2558	270	17	comparative	comparative	ADJ
iajs-2558	270	18	study	study	NOUN
iajs-2558	270	19	,	,	PUNCT
iajs-2558	270	20	international	international	ADJ
iajs-2558	270	21	journal	journal	NOUN
iajs-2558	270	22	of	of	ADP
iajs-2558	270	23	statistics	statistic	NOUN
iajs-2558	270	24	and	and	CCONJ
iajs-2558	270	25	probability.2016	probability.2016	PROPN
iajs-2558	270	26	,	,	PUNCT
iajs-2558	270	27	5	5	NUM
iajs-2558	270	28	,	,	PUNCT
iajs-2558	270	29	4	4	NUM
iajs-2558	270	30	,	,	PUNCT
iajs-2558	270	31	14277040	14277040	NUM
iajs-2558	270	32	.	.	PUNCT
iajs-2558	271	1	10	10	NUM
iajs-2558	271	2	.	.	PUNCT
iajs-2558	272	1	al	al	PROPN
iajs-2558	272	2	-	-	PUNCT
iajs-2558	272	3	noor	noor	PROPN
iajs-2558	272	4	,	,	PUNCT
iajs-2558	272	5	n.h	n.h	PROPN
iajs-2558	272	6	.	.	PROPN
iajs-2558	272	7	;	;	PUNCT
iajs-2558	272	8	hussein	hussein	PROPN
iajs-2558	272	9	,	,	PUNCT
iajs-2558	272	10	l.k	l.k	PROPN
iajs-2558	272	11	.	.	PROPN
iajs-2558	272	12	weighted	weight	VERB
iajs-2558	272	13	exponential	exponential	ADJ
iajs-2558	272	14	distribution	distribution	NOUN
iajs-2558	272	15	:	:	PUNCT
iajs-2558	272	16	approximate	approximate	ADJ
iajs-2558	272	17	bayes	bayes	PROPN
iajs-2558	272	18	estimations	estimation	NOUN
iajs-2558	272	19	with	with	ADP
iajs-2558	272	20	fuzzy	fuzzy	ADJ
iajs-2558	272	21	data	datum	NOUN
iajs-2558	272	22	,	,	PUNCT
iajs-2558	272	23	scientific	scientific	ADJ
iajs-2558	272	24	international	international	ADJ
iajs-2558	272	25	conference	conference	NOUN
iajs-2558	272	26	college	college	PROPN
iajs-2558	272	27	of	of	ADP
iajs-2558	272	28	science	science	NOUN
iajs-2558	272	29	,	,	PUNCT
iajs-2558	272	30	alnahrain	alnahrain	VERB
iajs-2558	272	31	unevercity.2017	unevercity.2017	NOUN
iajs-2558	272	32	,	,	PUNCT
iajs-2558	272	33	0	0	NUM
iajs-2558	272	34	,	,	PUNCT
iajs-2558	272	35	1	1	NUM
iajs-2558	272	36	,	,	PUNCT
iajs-2558	272	37	174	174	NUM
iajs-2558	272	38	-	-	SYM
iajs-2558	272	39	185	185	NUM
iajs-2558	272	40	.	.	PUNCT
iajs-2558	273	1	11	11	NUM
iajs-2558	273	2	.	.	PUNCT
iajs-2558	274	1	oguntunde	oguntunde	PROPN
iajs-2558	274	2	,	,	PUNCT
iajs-2558	274	3	p.e	p.e	PROPN
iajs-2558	274	4	.	.	PROPN
iajs-2558	274	5	;	;	PUNCT
iajs-2558	274	6	ilori	ilori	PROPN
iajs-2558	274	7	,	,	PUNCT
iajs-2558	274	8	k.a	k.a	PROPN
iajs-2558	274	9	.	.	PROPN
iajs-2558	274	10	;	;	PUNCT
iajs-2558	274	11	okagbue	okagbue	PROPN
iajs-2558	274	12	,	,	PUNCT
iajs-2558	274	13	h.	h.	PROPN
iajs-2558	274	14	i.	i.	PROPN
iajs-2558	275	1	the	the	DET
iajs-2558	275	2	inverted	invert	VERB
iajs-2558	275	3	weighted	weight	VERB
iajs-2558	275	4	exponential	exponential	ADJ
iajs-2558	275	5	distribution	distribution	NOUN
iajs-2558	275	6	with	with	ADP
iajs-2558	275	7	applications	application	NOUN
iajs-2558	275	8	,	,	PUNCT
iajs-2558	275	9	interracial	interracial	ADJ
iajs-2558	275	10	journal	journal	NOUN
iajs-2558	275	11	of	of	ADP
iajs-2558	275	12	advanced	advanced	ADJ
iajs-2558	275	13	and	and	CCONJ
iajs-2558	275	14	applied	apply	VERB
iajs-2558	275	15	sciences.2018	sciences.2018	PROPN
iajs-2558	275	16	,	,	PUNCT
iajs-2558	275	17	5	5	NUM
iajs-2558	275	18	,	,	PUNCT
iajs-2558	275	19	11	11	NUM
iajs-2558	275	20	,	,	PUNCT
iajs-2558	275	21	46	46	NUM
iajs-2558	275	22	-	-	SYM
iajs-2558	275	23	50	50	NUM
iajs-2558	275	24	.	.	PUNCT
iajs-2558	275	25	12	12	NUM
iajs-2558	275	26	.	.	PUNCT
iajs-2558	276	1	tawfiq	tawfiq	PROPN
iajs-2558	276	2	,	,	PUNCT
iajs-2558	276	3	lnm	lnm	PROPN
iajs-2558	276	4	;	;	PUNCT
iajs-2558	276	5	oraibi	oraibi	PROPN
iajs-2558	276	6	.	.	PUNCT
iajs-2558	277	1	ya	ya	INTJ
iajs-2558	277	2	.	.	PUNCT
iajs-2558	278	1	fast	fast	ADJ
iajs-2558	278	2	training	training	NOUN
iajs-2558	278	3	algorithms	algorithm	NOUN
iajs-2558	278	4	for	for	ADP
iajs-2558	278	5	feed	feed	NOUN
iajs-2558	278	6	forward	forward	ADV
iajs-2558	278	7	neural	neural	ADJ
iajs-2558	278	8	networks	network	NOUN
iajs-2558	278	9	.	.	PUNCT
iajs-2558	279	1	ibn	ibn	PROPN
iajs-2558	279	2	al	al	PROPN
iajs-2558	279	3	-	-	PUNCT
iajs-2558	279	4	haitham	haitham	PROPN
iajs-2558	279	5	journal	journal	PROPN
iajs-2558	279	6	for	for	ADP
iajs-2558	279	7	pure	pure	ADJ
iajs-2558	279	8	and	and	CCONJ
iajs-2558	279	9	applied	applied	ADJ
iajs-2558	279	10	science	science	NOUN
iajs-2558	279	11	.	.	PUNCT
iajs-2558	280	1	2017	2017	NUM
iajs-2558	280	2	,	,	PUNCT
iajs-2558	280	3	26	26	NUM
iajs-2558	280	4	,	,	PUNCT
iajs-2558	280	5	1	1	NUM
iajs-2558	280	6	:	:	SYM
iajs-2558	280	7	1275	1275	NUM
iajs-2558	280	8	-	-	SYM
iajs-2558	280	9	280	280	NUM
iajs-2558	280	10	.	.	NOUN
iajs-2558	280	11	13	13	NUM
iajs-2558	280	12	.	.	PUNCT
iajs-2558	281	1	hussein	hussein	PROPN
iajs-2558	281	2	.	.	PUNCT
iajs-2558	282	1	iden	iden	PROPN
iajs-2558	282	2	hasan	hasan	PROPN
iajs-2558	282	3	and	and	CCONJ
iajs-2558	282	4	zain	zain	PROPN
iajs-2558	282	5	.	.	PUNCT
iajs-2558	283	1	saad	saad	PROPN
iajs-2558	283	2	adnan	adnan	PROPN
iajs-2558	283	3	.	.	PUNCT
iajs-2558	284	1	some	some	DET
iajs-2558	284	2	aspects	aspect	NOUN
iajs-2558	284	3	of	of	ADP
iajs-2558	284	4	weighted	weight	VERB
iajs-2558	284	5	rayleigh	rayleigh	NOUN
iajs-2558	284	6	distribution	distribution	NOUN
iajs-2558	284	7	.	.	PUNCT
iajs-2558	285	1	ibn	ibn	PROPN
iajs-2558	285	2	alhaitham	alhaitham	PROPN
iajs-2558	285	3	journal	journal	NOUN
iajs-2558	285	4	for	for	ADP
iajs-2558	285	5	pure	pure	ADJ
iajs-2558	285	6	and	and	CCONJ
iajs-2558	285	7	applied	applied	ADJ
iajs-2558	285	8	science	science	NOUN
iajs-2558	285	9	.	.	PUNCT
iajs-2558	286	1	date	date	NOUN
iajs-2558	286	2	of	of	ADP
iajs-2558	286	3	acceptance	acceptance	NOUN
iajs-2558	286	4	of	of	ADP
iajs-2558	286	5	publication	publication	NOUN
iajs-2558	286	6	in	in	ADP
iajs-2558	286	7	the	the	DET
iajs-2558	286	8	above	above	ADJ
iajs-2558	286	9	journal	journal	NOUN
iajs-2558	286	10	.	.	PUNCT
iajs-2558	287	1	2019	2019	NUM
iajs-2558	287	2	,	,	PUNCT
iajs-2558	287	3	33	33	NUM
iajs-2558	287	4	,	,	PUNCT
iajs-2558	287	5	that	that	PRON
iajs-2558	287	6	will	will	AUX
iajs-2558	287	7	out	out	ADP
iajs-2558	287	8	in	in	ADP
iajs-2558	287	9	2020	2020	NUM
iajs-2558	287	10	.	.	PUNCT
iajs-2558	288	1	http://codental.uobaghdad.edu.iq/jih/index.php/j/article/view/534	http://codental.uobaghdad.edu.iq/jih/index.php/j/article/view/534	NOUN