id	sid	tid	token	lemma	pos
iajs-4065	1	1	352	352	NUM
iajs-4065	1	2	©	©	PROPN
iajs-4065	1	3	2025	2025	NUM
iajs-4065	1	4	the	the	DET
iajs-4065	1	5	author(s	author(s	NOUN
iajs-4065	1	6	)	)	PUNCT
iajs-4065	1	7	.	.	PUNCT
iajs-4065	2	1	published	publish	VERB
iajs-4065	2	2	by	by	ADP
iajs-4065	2	3	college	college	NOUN
iajs-4065	2	4	of	of	ADP
iajs-4065	2	5	education	education	NOUN
iajs-4065	2	6	for	for	ADP
iajs-4065	2	7	pure	pure	ADJ
iajs-4065	2	8	science	science	NOUN
iajs-4065	2	9	(	(	PUNCT
iajs-4065	2	10	ibn	ibn	PROPN
iajs-4065	2	11	al	al	PROPN
iajs-4065	2	12	-	-	PUNCT
iajs-4065	2	13	haitham	haitham	PROPN
iajs-4065	2	14	)	)	PUNCT
iajs-4065	2	15	,	,	PUNCT
iajs-4065	2	16	university	university	NOUN
iajs-4065	2	17	of	of	ADP
iajs-4065	2	18	baghdad	baghdad	PROPN
iajs-4065	2	19	.	.	PUNCT
iajs-4065	3	1	this	this	PRON
iajs-4065	3	2	is	be	AUX
iajs-4065	3	3	an	an	DET
iajs-4065	3	4	open	open	ADJ
iajs-4065	3	5	-	-	PUNCT
iajs-4065	3	6	access	access	NOUN
iajs-4065	3	7	article	article	NOUN
iajs-4065	3	8	distributed	distribute	VERB
iajs-4065	3	9	under	under	ADP
iajs-4065	3	10	the	the	DET
iajs-4065	3	11	terms	term	NOUN
iajs-4065	3	12	of	of	ADP
iajs-4065	3	13	the	the	DET
iajs-4065	3	14	creative	creative	ADJ
iajs-4065	3	15	commons	common	NOUN
iajs-4065	3	16	attribution	attribution	NOUN
iajs-4065	3	17	4.0	4.0	NUM
iajs-4065	3	18	international	international	ADJ
iajs-4065	3	19	license	license	NOUN
iajs-4065	3	20	new	new	ADJ
iajs-4065	3	21	lifetime	lifetime	NOUN
iajs-4065	3	22	alpha	alpha	PROPN
iajs-4065	3	23	power	power	PROPN
iajs-4065	3	24	rayleigh	rayleigh	PROPN
iajs-4065	3	25	weibull	weibull	PROPN
iajs-4065	3	26	distribution	distribution	NOUN
iajs-4065	3	27	:	:	PUNCT
iajs-4065	3	28	structure	structure	NOUN
iajs-4065	3	29	and	and	CCONJ
iajs-4065	3	30	properties	property	NOUN
iajs-4065	3	31	zainab	zainab	PROPN
iajs-4065	3	32	ali	ali	PROPN
iajs-4065	3	33	ahmed	ahmed	PROPN
iajs-4065	3	34	1	1	PROPN
iajs-4065	3	35	,	,	PUNCT
iajs-4065	3	36	ali	ali	PROPN
iajs-4065	3	37	talib	talib	PROPN
iajs-4065	3	38	mohammed	mohammed	PROPN
iajs-4065	3	39	2	2	PROPN
iajs-4065	3	40	and	and	CCONJ
iajs-4065	3	41	aytekin	aytekin	X
iajs-4065	3	42	enver	enver	PROPN
iajs-4065	3	43	3	3	NUM
iajs-4065	3	44	1,2	1,2	NUM
iajs-4065	3	45	department	department	NOUN
iajs-4065	3	46	of	of	ADP
iajs-4065	3	47	mathematics	mathematic	NOUN
iajs-4065	3	48	,	,	PUNCT
iajs-4065	3	49	college	college	NOUN
iajs-4065	3	50	of	of	ADP
iajs-4065	3	51	education	education	NOUN
iajs-4065	3	52	for	for	ADP
iajs-4065	3	53	pure	pure	ADJ
iajs-4065	3	54	science	science	NOUN
iajs-4065	3	55	(	(	PUNCT
iajs-4065	3	56	ibn	ibn	PROPN
iajs-4065	3	57	al	al	PROPN
iajs-4065	3	58	-	-	PUNCT
iajs-4065	3	59	haitham	haitham	PROPN
iajs-4065	3	60	)	)	PUNCT
iajs-4065	3	61	,	,	PUNCT
iajs-4065	3	62	university	university	NOUN
iajs-4065	3	63	of	of	ADP
iajs-4065	3	64	baghdad	baghdad	PROPN
iajs-4065	3	65	,	,	PUNCT
iajs-4065	3	66	baghdad	baghdad	PROPN
iajs-4065	3	67	,	,	PUNCT
iajs-4065	3	68	iraq	iraq	PROPN
iajs-4065	3	69	.	.	PUNCT
iajs-4065	4	1	3	3	NUM
iajs-4065	4	2	department	department	NOUN
iajs-4065	4	3	of	of	ADP
iajs-4065	4	4	mathematics	mathematic	NOUN
iajs-4065	4	5	,	,	PUNCT
iajs-4065	4	6	gazi	gazi	PROPN
iajs-4065	4	7	university	university	NOUN
iajs-4065	4	8	,	,	PUNCT
iajs-4065	4	9	teknikokullar	teknikokullar	ADJ
iajs-4065	4	10	,	,	PUNCT
iajs-4065	4	11	ankara	ankara	PROPN
iajs-4065	4	12	,	,	PUNCT
iajs-4065	4	13	türkiye	türkiye	PROPN
iajs-4065	4	14	.	.	PUNCT
iajs-4065	5	1	*	*	PUNCT
iajs-4065	5	2	corresponding	correspond	VERB
iajs-4065	5	3	author	author	NOUN
iajs-4065	5	4	.	.	PUNCT
iajs-4065	6	1	received	receive	VERB
iajs-4065	6	2	:	:	PUNCT
iajs-4065	6	3	3	3	NUM
iajs-4065	6	4	december	december	PROPN
iajs-4065	6	5	2024	2024	NUM
iajs-4065	6	6	accepted	accept	VERB
iajs-4065	6	7	:	:	PUNCT
iajs-4065	6	8	28	28	NUM
iajs-4065	6	9	april	april	PROPN
iajs-4065	6	10	2025	2025	NUM
iajs-4065	6	11	published	publish	VERB
iajs-4065	6	12	:	:	PUNCT
iajs-4065	7	1	20	20	NUM
iajs-4065	7	2	october	october	NOUN
iajs-4065	7	3	2025	2025	NUM
iajs-4065	7	4	doi.org/10.30526/38.4.4065	doi.org/10.30526/38.4.4065	NOUN
iajs-4065	7	5	abstract	abstract	ADJ
iajs-4065	7	6	alpha	alpha	NOUN
iajs-4065	7	7	power	power	NOUN
iajs-4065	7	8	transformation	transformation	NOUN
iajs-4065	7	9	family	family	NOUN
iajs-4065	7	10	distributions	distribution	NOUN
iajs-4065	7	11	(	(	PUNCT
iajs-4065	7	12	apt	apt	ADJ
iajs-4065	7	13	)	)	PUNCT
iajs-4065	7	14	are	be	AUX
iajs-4065	7	15	considered	consider	VERB
iajs-4065	7	16	one	one	NUM
iajs-4065	7	17	of	of	ADP
iajs-4065	7	18	the	the	DET
iajs-4065	7	19	modern	modern	ADJ
iajs-4065	7	20	transformations	transformation	NOUN
iajs-4065	7	21	that	that	PRON
iajs-4065	7	22	have	have	AUX
iajs-4065	7	23	received	receive	VERB
iajs-4065	7	24	the	the	DET
iajs-4065	7	25	attention	attention	NOUN
iajs-4065	7	26	of	of	ADP
iajs-4065	7	27	researchers	researcher	NOUN
iajs-4065	7	28	in	in	ADP
iajs-4065	7	29	the	the	DET
iajs-4065	7	30	past	past	ADJ
iajs-4065	7	31	decade	decade	NOUN
iajs-4065	7	32	and	and	CCONJ
iajs-4065	7	33	are	be	AUX
iajs-4065	7	34	concerned	concern	VERB
iajs-4065	7	35	with	with	ADP
iajs-4065	7	36	adding	add	VERB
iajs-4065	7	37	a	a	DET
iajs-4065	7	38	shape	shape	NOUN
iajs-4065	7	39	parameter	parameter	NOUN
iajs-4065	7	40	.	.	PUNCT
iajs-4065	8	1	based	base	VERB
iajs-4065	8	2	on	on	ADP
iajs-4065	8	3	apt	apt	ADJ
iajs-4065	8	4	,	,	PUNCT
iajs-4065	8	5	this	this	DET
iajs-4065	8	6	paper	paper	NOUN
iajs-4065	8	7	proposes	propose	VERB
iajs-4065	8	8	a	a	DET
iajs-4065	8	9	new	new	ADJ
iajs-4065	8	10	distribution	distribution	NOUN
iajs-4065	8	11	by	by	ADP
iajs-4065	8	12	adding	add	VERB
iajs-4065	8	13	a	a	DET
iajs-4065	8	14	new	new	ADJ
iajs-4065	8	15	parameter	parameter	NOUN
iajs-4065	8	16	to	to	ADP
iajs-4065	8	17	the	the	DET
iajs-4065	8	18	two	two	NUM
iajs-4065	8	19	-	-	PUNCT
iajs-4065	8	20	parameter	parameter	NOUN
iajs-4065	8	21	rayleigh	rayleigh	PROPN
iajs-4065	8	22	weibull	weibull	PROPN
iajs-4065	8	23	distribution	distribution	PROPN
iajs-4065	8	24	,	,	PUNCT
iajs-4065	8	25	a	a	DET
iajs-4065	8	26	new	new	ADJ
iajs-4065	8	27	continuous	continuous	ADJ
iajs-4065	8	28	distribution	distribution	NOUN
iajs-4065	8	29	called	call	VERB
iajs-4065	8	30	alpha	alpha	NOUN
iajs-4065	8	31	power	power	PROPN
iajs-4065	8	32	rayleigh	rayleigh	PROPN
iajs-4065	8	33	weibull	weibull	PROPN
iajs-4065	8	34	distribution	distribution	NOUN
iajs-4065	8	35	(	(	PUNCT
iajs-4065	8	36	aprwd	aprwd	NOUN
iajs-4065	8	37	)	)	PUNCT
iajs-4065	8	38	including	include	VERB
iajs-4065	8	39	three	three	NUM
iajs-4065	8	40	parameters	parameter	NOUN
iajs-4065	8	41	where	where	SCONJ
iajs-4065	8	42	ρ	ρ	PROPN
iajs-4065	8	43	is	be	AUX
iajs-4065	8	44	known	know	VERB
iajs-4065	8	45	as	as	ADP
iajs-4065	8	46	shape	shape	NOUN
iajs-4065	8	47	parameter	parameter	NOUN
iajs-4065	8	48	and	and	CCONJ
iajs-4065	8	49	ɑ	ɑ	PROPN
iajs-4065	8	50	,	,	PUNCT
iajs-4065	8	51	δ	δ	PROPN
iajs-4065	8	52	as	as	ADP
iajs-4065	8	53	scale	scale	NOUN
iajs-4065	8	54	parameters	parameter	NOUN
iajs-4065	8	55	.	.	PUNCT
iajs-4065	9	1	this	this	DET
iajs-4065	9	2	paper	paper	NOUN
iajs-4065	9	3	also	also	ADV
iajs-4065	9	4	includes	include	VERB
iajs-4065	9	5	a	a	DET
iajs-4065	9	6	presentation	presentation	NOUN
iajs-4065	9	7	of	of	ADP
iajs-4065	9	8	the	the	DET
iajs-4065	9	9	mathematical	mathematical	ADJ
iajs-4065	9	10	construction	construction	NOUN
iajs-4065	9	11	of	of	ADP
iajs-4065	9	12	the	the	DET
iajs-4065	9	13	basic	basic	ADJ
iajs-4065	9	14	statistical	statistical	ADJ
iajs-4065	9	15	functions	function	NOUN
iajs-4065	9	16	:	:	PUNCT
iajs-4065	9	17	cumulative	cumulative	ADJ
iajs-4065	9	18	,	,	PUNCT
iajs-4065	9	19	probability	probability	NOUN
iajs-4065	9	20	density	density	NOUN
iajs-4065	9	21	,	,	PUNCT
iajs-4065	9	22	survival	survival	NOUN
iajs-4065	9	23	,	,	PUNCT
iajs-4065	9	24	and	and	CCONJ
iajs-4065	9	25	hazard	hazard	NOUN
iajs-4065	9	26	functions	function	NOUN
iajs-4065	9	27	.	.	PUNCT
iajs-4065	10	1	we	we	PRON
iajs-4065	10	2	also	also	ADV
iajs-4065	10	3	include	include	VERB
iajs-4065	10	4	an	an	DET
iajs-4065	10	5	expansion	expansion	NOUN
iajs-4065	10	6	of	of	ADP
iajs-4065	10	7	the	the	DET
iajs-4065	10	8	cumulative	cumulative	ADJ
iajs-4065	10	9	and	and	CCONJ
iajs-4065	10	10	probability	probability	NOUN
iajs-4065	10	11	density	density	NOUN
iajs-4065	10	12	functions	function	NOUN
iajs-4065	10	13	to	to	PART
iajs-4065	10	14	use	use	VERB
iajs-4065	10	15	them	they	PRON
iajs-4065	10	16	in	in	ADP
iajs-4065	10	17	investigating	investigate	VERB
iajs-4065	10	18	and	and	CCONJ
iajs-4065	10	19	finding	find	VERB
iajs-4065	10	20	several	several	ADJ
iajs-4065	10	21	mathematical	mathematical	ADJ
iajs-4065	10	22	statistical	statistical	ADJ
iajs-4065	10	23	properties	property	NOUN
iajs-4065	10	24	of	of	ADP
iajs-4065	10	25	(	(	PUNCT
iajs-4065	10	26	aprwd	aprwd	NOUN
iajs-4065	10	27	)	)	PUNCT
iajs-4065	10	28	such	such	ADJ
iajs-4065	10	29	as	as	ADP
iajs-4065	10	30	moments	moment	NOUN
iajs-4065	10	31	,	,	PUNCT
iajs-4065	10	32	skewness	skewness	NOUN
iajs-4065	10	33	,	,	PUNCT
iajs-4065	10	34	kurtosis	kurtosis	NOUN
iajs-4065	10	35	,	,	PUNCT
iajs-4065	10	36	moment	moment	NOUN
iajs-4065	10	37	generating	generating	NOUN
iajs-4065	10	38	,	,	PUNCT
iajs-4065	10	39	characteristics	characteristic	NOUN
iajs-4065	10	40	,	,	PUNCT
iajs-4065	10	41	mode	mode	NOUN
iajs-4065	10	42	,	,	PUNCT
iajs-4065	10	43	quantile	quantile	NOUN
iajs-4065	10	44	,	,	PUNCT
iajs-4065	10	45	and	and	CCONJ
iajs-4065	10	46	factorial	factorial	ADJ
iajs-4065	10	47	moments	moment	NOUN
iajs-4065	10	48	generating	generating	NOUN
iajs-4065	10	49	functions	function	NOUN
iajs-4065	10	50	.	.	PUNCT
iajs-4065	11	1	keywords	keyword	VERB
iajs-4065	11	2	alpha	alpha	NOUN
iajs-4065	11	3	-	-	PUNCT
iajs-4065	11	4	power	power	NOUN
iajs-4065	11	5	family	family	NOUN
iajs-4065	11	6	,	,	PUNCT
iajs-4065	11	7	rayleigh	rayleigh	PROPN
iajs-4065	11	8	weibull	weibull	PROPN
iajs-4065	11	9	distribution	distribution	PROPN
iajs-4065	11	10	,	,	PUNCT
iajs-4065	11	11	survival	survival	NOUN
iajs-4065	11	12	function	function	NOUN
iajs-4065	11	13	,	,	PUNCT
iajs-4065	11	14	moments	moment	NOUN
iajs-4065	11	15	about	about	ADP
iajs-4065	11	16	the	the	DET
iajs-4065	11	17	origin	origin	NOUN
iajs-4065	11	18	,	,	PUNCT
iajs-4065	11	19	moment	moment	NOUN
iajs-4065	11	20	generating	generate	VERB
iajs-4065	11	21	function	function	NOUN
iajs-4065	11	22	.	.	PUNCT
iajs-4065	12	1	1	1	X
iajs-4065	12	2	.	.	X
iajs-4065	12	3	introduction	introduction	NOUN
iajs-4065	12	4	the	the	DET
iajs-4065	12	5	statistical	statistical	ADJ
iajs-4065	12	6	analysis	analysis	NOUN
iajs-4065	12	7	and	and	CCONJ
iajs-4065	12	8	fitting	fitting	NOUN
iajs-4065	12	9	of	of	ADP
iajs-4065	12	10	lifetime	lifetime	NOUN
iajs-4065	12	11	data	datum	NOUN
iajs-4065	12	12	have	have	AUX
iajs-4065	12	13	earned	earn	VERB
iajs-4065	12	14	plenty	plenty	NOUN
iajs-4065	12	15	of	of	ADP
iajs-4065	12	16	attention	attention	NOUN
iajs-4065	12	17	in	in	ADP
iajs-4065	12	18	all	all	DET
iajs-4065	12	19	applied	apply	VERB
iajs-4065	12	20	fields	field	NOUN
iajs-4065	12	21	over	over	ADP
iajs-4065	12	22	the	the	DET
iajs-4065	12	23	years	year	NOUN
iajs-4065	12	24	.	.	PUNCT
iajs-4065	13	1	however	however	ADV
iajs-4065	13	2	,	,	PUNCT
iajs-4065	13	3	because	because	SCONJ
iajs-4065	13	4	the	the	DET
iajs-4065	13	5	world	world	NOUN
iajs-4065	13	6	is	be	AUX
iajs-4065	13	7	constantly	constantly	ADV
iajs-4065	13	8	changing	change	VERB
iajs-4065	13	9	,	,	PUNCT
iajs-4065	13	10	new	new	ADJ
iajs-4065	13	11	kinds	kind	NOUN
iajs-4065	13	12	of	of	ADP
iajs-4065	13	13	data	datum	NOUN
iajs-4065	13	14	and	and	CCONJ
iajs-4065	13	15	statistical	statistical	ADJ
iajs-4065	13	16	problems	problem	NOUN
iajs-4065	13	17	develop	develop	VERB
iajs-4065	13	18	as	as	SCONJ
iajs-4065	13	19	new	new	ADJ
iajs-4065	13	20	problems	problem	NOUN
iajs-4065	13	21	are	be	AUX
iajs-4065	13	22	discovered	discover	VERB
iajs-4065	13	23	.	.	PUNCT
iajs-4065	14	1	in	in	ADP
iajs-4065	14	2	this	this	DET
iajs-4065	14	3	paper	paper	NOUN
iajs-4065	14	4	,	,	PUNCT
iajs-4065	14	5	we	we	PRON
iajs-4065	14	6	propose	propose	VERB
iajs-4065	14	7	and	and	CCONJ
iajs-4065	14	8	investigate	investigate	VERB
iajs-4065	14	9	a	a	DET
iajs-4065	14	10	new	new	ADJ
iajs-4065	14	11	model	model	NOUN
iajs-4065	14	12	called	call	VERB
iajs-4065	14	13	aprwd	aprwd	NOUN
iajs-4065	14	14	according	accord	VERB
iajs-4065	14	15	to	to	ADP
iajs-4065	14	16	apt	apt	PROPN
iajs-4065	14	17	.	.	PUNCT
iajs-4065	15	1	the	the	DET
iajs-4065	15	2	shape	shape	NOUN
iajs-4065	15	3	parameter	parameter	NOUN
iajs-4065	15	4	in	in	ADP
iajs-4065	15	5	the	the	DET
iajs-4065	15	6	aprwd	aprwd	NOUN
iajs-4065	15	7	introduces	introduce	VERB
iajs-4065	15	8	a	a	DET
iajs-4065	15	9	flexibility	flexibility	NOUN
iajs-4065	15	10	-	-	PUNCT
iajs-4065	15	11	enhancing	enhance	VERB
iajs-4065	15	12	transformation	transformation	NOUN
iajs-4065	15	13	that	that	PRON
iajs-4065	15	14	empowers	empower	VERB
iajs-4065	15	15	the	the	DET
iajs-4065	15	16	distribution	distribution	NOUN
iajs-4065	15	17	to	to	PART
iajs-4065	15	18	model	model	VERB
iajs-4065	15	19	a	a	DET
iajs-4065	15	20	wider	wide	ADJ
iajs-4065	15	21	variety	variety	NOUN
iajs-4065	15	22	of	of	ADP
iajs-4065	15	23	empirical	empirical	ADJ
iajs-4065	15	24	phenomena	phenomenon	NOUN
iajs-4065	15	25	,	,	PUNCT
iajs-4065	15	26	especially	especially	ADV
iajs-4065	15	27	when	when	SCONJ
iajs-4065	15	28	data	datum	NOUN
iajs-4065	15	29	deviate	deviate	VERB
iajs-4065	15	30	from	from	ADP
iajs-4065	15	31	the	the	DET
iajs-4065	15	32	assumptions	assumption	NOUN
iajs-4065	15	33	of	of	ADP
iajs-4065	15	34	classical	classical	ADJ
iajs-4065	15	35	rayleigh	rayleigh	NOUN
iajs-4065	15	36	or	or	CCONJ
iajs-4065	15	37	weibull	weibull	PROPN
iajs-4065	15	38	models	model	NOUN
iajs-4065	15	39	.	.	PUNCT
iajs-4065	16	1	this	this	PRON
iajs-4065	16	2	makes	make	VERB
iajs-4065	16	3	aprwd	aprwd	NOUN
iajs-4065	16	4	a	a	DET
iajs-4065	16	5	valuable	valuable	ADJ
iajs-4065	16	6	tool	tool	NOUN
iajs-4065	16	7	in	in	ADP
iajs-4065	16	8	reliability	reliability	NOUN
iajs-4065	16	9	analysis	analysis	NOUN
iajs-4065	16	10	,	,	PUNCT
iajs-4065	16	11	environmental	environmental	ADJ
iajs-4065	16	12	modeling	modeling	NOUN
iajs-4065	16	13	,	,	PUNCT
iajs-4065	16	14	and	and	CCONJ
iajs-4065	16	15	other	other	ADJ
iajs-4065	16	16	statistical	statistical	ADJ
iajs-4065	16	17	applications	application	NOUN
iajs-4065	16	18	requiring	require	VERB
iajs-4065	16	19	versatile	versatile	ADJ
iajs-4065	16	20	distributional	distributional	ADJ
iajs-4065	16	21	assumptions	assumption	NOUN
iajs-4065	16	22	.	.	PUNCT
iajs-4065	17	1	apt	apt	ADJ
iajs-4065	17	2	was	be	AUX
iajs-4065	17	3	pointed	point	VERB
iajs-4065	17	4	out	out	ADP
iajs-4065	17	5	(	(	PUNCT
iajs-4065	17	6	1	1	NUM
iajs-4065	17	7	)	)	PUNCT
iajs-4065	17	8	that	that	SCONJ
iajs-4065	17	9	after	after	ADP
iajs-4065	17	10	the	the	DET
iajs-4065	17	11	eighties	eighty	NOUN
iajs-4065	17	12	,	,	PUNCT
iajs-4065	17	13	most	most	ADJ
iajs-4065	17	14	of	of	ADP
iajs-4065	17	15	the	the	DET
iajs-4065	17	16	proposed	propose	VERB
iajs-4065	17	17	and	and	CCONJ
iajs-4065	17	18	developed	develop	VERB
iajs-4065	17	19	methods	method	NOUN
iajs-4065	17	20	depended	depend	VERB
iajs-4065	17	21	on	on	ADP
iajs-4065	17	22	composition	composition	NOUN
iajs-4065	17	23	or	or	CCONJ
iajs-4065	17	24	addition	addition	NOUN
iajs-4065	17	25	.	.	PUNCT
iajs-4065	18	1	however	however	ADV
iajs-4065	18	2	,	,	PUNCT
iajs-4065	18	3	more	more	ADV
iajs-4065	18	4	recently	recently	ADV
iajs-4065	18	5	,	,	PUNCT
iajs-4065	18	6	modern	modern	ADJ
iajs-4065	18	7	methods	method	NOUN
iajs-4065	18	8	depended	depend	VERB
iajs-4065	18	9	on	on	ADP
iajs-4065	18	10	creating	create	VERB
iajs-4065	18	11	distributions	distribution	NOUN
iajs-4065	18	12	by	by	ADP
iajs-4065	18	13	adding	add	VERB
iajs-4065	18	14	parameters	parameter	NOUN
iajs-4065	18	15	through	through	ADP
iajs-4065	18	16	families	family	NOUN
iajs-4065	18	17	that	that	PRON
iajs-4065	18	18	generate	generate	VERB
iajs-4065	18	19	distributions	distribution	NOUN
iajs-4065	18	20	.	.	PUNCT
iajs-4065	19	1	it	it	PRON
iajs-4065	19	2	wasproposed	waspropose	VERB
iajs-4065	19	3	the	the	DET
iajs-4065	19	4	incorporation	incorporation	NOUN
iajs-4065	19	5	of	of	ADP
iajs-4065	19	6	a	a	DET
iajs-4065	19	7	scaling	scale	VERB
iajs-4065	19	8	parameter	parameter	NOUN
iajs-4065	19	9	to	to	PART
iajs-4065	19	10	generate	generate	VERB
iajs-4065	19	11	new	new	ADJ
iajs-4065	19	12	distributions	distribution	NOUN
iajs-4065	19	13	,	,	PUNCT
iajs-4065	19	14	leading	lead	VERB
iajs-4065	19	15	to	to	ADP
iajs-4065	19	16	the	the	DET
iajs-4065	19	17	development	development	NOUN
iajs-4065	19	18	of	of	ADP
iajs-4065	19	19	the	the	DET
iajs-4065	19	20	apt	apt	ADJ
iajs-4065	19	21	https://www.scopus.com/pages/organization/60013849	https://www.scopus.com/pages/organization/60013849	PROPN
iajs-4065	19	22	https://orcid.org/0009-0005-0107-3054	https://orcid.org/0009-0005-0107-3054	PROPN
iajs-4065	19	23	mailto:zainab.ali2203@ihcoedu.uobaghdad.edu.iq	mailto:zainab.ali2203@ihcoedu.uobaghdad.edu.iq	PROPN
iajs-4065	19	24	https://orcid.org/0000-0003-0235-2352	https://orcid.org/0000-0003-0235-2352	PROPN
iajs-4065	19	25	mailto:ali.t.m@ihcoedu.uobaghdad.edu.iq	mailto:ali.t.m@ihcoedu.uobaghdad.edu.iq	PROPN
iajs-4065	19	26	https://orcid.org/0000-0001-6013-0323	https://orcid.org/0000-0001-6013-0323	NOUN
iajs-4065	19	27	mailto:aytekin.enver@gazi.edu.tr	mailto:aytekin.enver@gazi.edu.tr	PROPN
iajs-4065	19	28	https://orcid.org/0009-0005-0107-3054	https://orcid.org/0009-0005-0107-3054	PROPN
iajs-4065	20	1	mailto:zainab.ali2203@ihcoedu.uobaghdad.edu.iq	mailto:zainab.ali2203@ihcoedu.uobaghdad.edu.iq	PROPN
iajs-4065	20	2	https://orcid.org/0000-0003-0235-2352	https://orcid.org/0000-0003-0235-2352	PROPN
iajs-4065	20	3	mailto:ali.t.m@ihcoedu.uobaghdad.edu.iq	mailto:ali.t.m@ihcoedu.uobaghdad.edu.iq	PROPN
iajs-4065	20	4	https://orcid.org/0000-0001-6013-0323	https://orcid.org/0000-0001-6013-0323	NOUN
iajs-4065	20	5	mailto:aytekin.enver@gazi.edu.tr	mailto:aytekin.enver@gazi.edu.tr	PROPN
iajs-4065	20	6	https://orcid.org/0009-0005-0107-3054	https://orcid.org/0009-0005-0107-3054	PROPN
iajs-4065	21	1	mailto:zainab.ali2203@ihcoedu.uobaghdad.edu.iq	mailto:zainab.ali2203@ihcoedu.uobaghdad.edu.iq	PROPN
iajs-4065	21	2	https://orcid.org/0000-0003-0235-2352	https://orcid.org/0000-0003-0235-2352	PROPN
iajs-4065	21	3	mailto:ali.t.m@ihcoedu.uobaghdad.edu.iq	mailto:ali.t.m@ihcoedu.uobaghdad.edu.iq	PROPN
iajs-4065	21	4	https://orcid.org/0000-0001-6013-0323	https://orcid.org/0000-0001-6013-0323	NOUN
iajs-4065	21	5	mailto:aytekin.enver@gazi.edu.tr	mailto:aytekin.enver@gazi.edu.tr	PROPN
iajs-4065	21	6	https://orcid.org/0009-0005-0107-3054	https://orcid.org/0009-0005-0107-3054	PROPN
iajs-4065	22	1	mailto:zainab.ali2203@ihcoedu.uobaghdad.edu.iq	mailto:zainab.ali2203@ihcoedu.uobaghdad.edu.iq	PROPN
iajs-4065	22	2	https://orcid.org/0000-0003-0235-2352	https://orcid.org/0000-0003-0235-2352	PROPN
iajs-4065	22	3	mailto:ali.t.m@ihcoedu.uobaghdad.edu.iq	mailto:ali.t.m@ihcoedu.uobaghdad.edu.iq	PROPN
iajs-4065	22	4	https://orcid.org/0000-0001-6013-0323	https://orcid.org/0000-0001-6013-0323	NOUN
iajs-4065	22	5	mailto:aytekin.enver@gazi.edu.tr	mailto:aytekin.enver@gazi.edu.tr	PROPN
iajs-4065	22	6	https://orcid.org/0009-0005-0107-3054	https://orcid.org/0009-0005-0107-3054	PROPN
iajs-4065	23	1	mailto:zainab.ali2203@ihcoedu.uobaghdad.edu.iq	mailto:zainab.ali2203@ihcoedu.uobaghdad.edu.iq	PROPN
iajs-4065	23	2	https://orcid.org/0000-0003-0235-2352	https://orcid.org/0000-0003-0235-2352	PROPN
iajs-4065	23	3	mailto:ali.t.m@ihcoedu.uobaghdad.edu.iq	mailto:ali.t.m@ihcoedu.uobaghdad.edu.iq	PROPN
iajs-4065	23	4	https://orcid.org/0000-0001-6013-0323	https://orcid.org/0000-0001-6013-0323	NOUN
iajs-4065	23	5	mailto:aytekin.enver@gazi.edu.tr	mailto:aytekin.enver@gazi.edu.tr	PROPN
iajs-4065	23	6	https://orcid.org/0009-0005-0107-3054	https://orcid.org/0009-0005-0107-3054	PROPN
iajs-4065	24	1	mailto:zainab.ali2203@ihcoedu.uobaghdad.edu.iq	mailto:zainab.ali2203@ihcoedu.uobaghdad.edu.iq	PROPN
iajs-4065	24	2	https://orcid.org/0000-0003-0235-2352	https://orcid.org/0000-0003-0235-2352	PROPN
iajs-4065	24	3	mailto:ali.t.m@ihcoedu.uobaghdad.edu.iq	mailto:ali.t.m@ihcoedu.uobaghdad.edu.iq	PROPN
iajs-4065	24	4	https://orcid.org/0000-0001-6013-0323	https://orcid.org/0000-0001-6013-0323	NOUN
iajs-4065	24	5	mailto:aytekin.enver@gazi.edu.tr	mailto:aytekin.enver@gazi.edu.tr	PROPN
iajs-4065	24	6	https://orcid.org/0009-0005-0107-3054	https://orcid.org/0009-0005-0107-3054	PROPN
iajs-4065	25	1	mailto:zainab.ali2203@ihcoedu.uobaghdad.edu.iq	mailto:zainab.ali2203@ihcoedu.uobaghdad.edu.iq	PROPN
iajs-4065	25	2	https://orcid.org/0000-0003-0235-2352	https://orcid.org/0000-0003-0235-2352	PROPN
iajs-4065	25	3	mailto:ali.t.m@ihcoedu.uobaghdad.edu.iq	mailto:ali.t.m@ihcoedu.uobaghdad.edu.iq	PROPN
iajs-4065	25	4	https://orcid.org/0000-0001-6013-0323	https://orcid.org/0000-0001-6013-0323	NOUN
iajs-4065	25	5	mailto:aytekin.enver@gazi.edu.tr	mailto:aytekin.enver@gazi.edu.tr	PROPN
iajs-4065	25	6	https://orcid.org/0009-0005-0107-3054	https://orcid.org/0009-0005-0107-3054	PROPN
iajs-4065	26	1	mailto:zainab.ali2203@ihcoedu.uobaghdad.edu.iq	mailto:zainab.ali2203@ihcoedu.uobaghdad.edu.iq	PROPN
iajs-4065	26	2	https://orcid.org/0000-0003-0235-2352	https://orcid.org/0000-0003-0235-2352	PROPN
iajs-4065	26	3	mailto:ali.t.m@ihcoedu.uobaghdad.edu.iq	mailto:ali.t.m@ihcoedu.uobaghdad.edu.iq	PROPN
iajs-4065	26	4	https://orcid.org/0000-0001-6013-0323	https://orcid.org/0000-0001-6013-0323	PROPN
iajs-4065	26	5	mailto:aytekin.enver@gazi.edu.tr	mailto:aytekin.enver@gazi.edu.tr	PROPN
iajs-4065	26	6	ihjpas	ihjpas	PROPN
iajs-4065	26	7	.	.	PUNCT
iajs-4065	27	1	2025,38(4	2025,38(4	NOUN
iajs-4065	27	2	)	)	PUNCT
iajs-4065	27	3	353	353	NUM
iajs-4065	27	4	family	family	NOUN
iajs-4065	27	5	(	(	PUNCT
iajs-4065	27	6	2	2	NUM
iajs-4065	27	7	)	)	PUNCT
iajs-4065	27	8	.	.	PUNCT
iajs-4065	28	1	the	the	DET
iajs-4065	28	2	cumulative	cumulative	ADJ
iajs-4065	28	3	distribution	distribution	NOUN
iajs-4065	28	4	function	function	NOUN
iajs-4065	28	5	(	(	PUNCT
iajs-4065	28	6	cdf	cdf	PROPN
iajs-4065	28	7	)	)	PUNCT
iajs-4065	28	8	and	and	CCONJ
iajs-4065	28	9	probability	probability	NOUN
iajs-4065	28	10	density	density	NOUN
iajs-4065	28	11	function	function	NOUN
iajs-4065	28	12	(	(	PUNCT
iajs-4065	28	13	pdf	pdf	NOUN
iajs-4065	28	14	)	)	PUNCT
iajs-4065	28	15	of	of	ADP
iajs-4065	28	16	the	the	DET
iajs-4065	28	17	apt	apt	ADJ
iajs-4065	28	18	family	family	NOUN
iajs-4065	28	19	are	be	AUX
iajs-4065	28	20	defined	define	VERB
iajs-4065	28	21	as	as	SCONJ
iajs-4065	28	22	follows	follow	VERB
iajs-4065	28	23	{	{	PUNCT
iajs-4065	28	24	(	(	PUNCT
iajs-4065	28	25	1	1	NUM
iajs-4065	28	26	)	)	PUNCT
iajs-4065	28	27	{	{	PUNCT
iajs-4065	28	28	(	(	PUNCT
iajs-4065	28	29	2	2	X
iajs-4065	28	30	)	)	PUNCT
iajs-4065	28	31	this	this	DET
iajs-4065	28	32	new	new	ADJ
iajs-4065	28	33	approach	approach	NOUN
iajs-4065	28	34	of	of	ADP
iajs-4065	28	35	(	(	PUNCT
iajs-4065	28	36	apt	apt	ADJ
iajs-4065	28	37	)	)	PUNCT
iajs-4065	28	38	is	be	AUX
iajs-4065	28	39	applied	apply	VERB
iajs-4065	28	40	by	by	ADP
iajs-4065	28	41	many	many	ADJ
iajs-4065	28	42	researchers	researcher	NOUN
iajs-4065	28	43	to	to	PART
iajs-4065	28	44	produce	produce	VERB
iajs-4065	28	45	new	new	ADJ
iajs-4065	28	46	models	model	NOUN
iajs-4065	28	47	such	such	ADJ
iajs-4065	28	48	as	as	ADP
iajs-4065	28	49	alpha	alpha	NOUN
iajs-4065	28	50	power	power	NOUN
iajs-4065	28	51	weibull	weibull	PROPN
iajs-4065	28	52	(	(	PUNCT
iajs-4065	28	53	3	3	NUM
iajs-4065	28	54	,	,	PUNCT
iajs-4065	28	55	4	4	NUM
iajs-4065	28	56	)	)	PUNCT
iajs-4065	28	57	,	,	PUNCT
iajs-4065	28	58	alpha	alpha	NOUN
iajs-4065	28	59	power	power	NOUN
iajs-4065	28	60	lindly	lindly	NOUN
iajs-4065	28	61	(	(	PUNCT
iajs-4065	28	62	5	5	NUM
iajs-4065	28	63	)	)	PUNCT
iajs-4065	28	64	,	,	PUNCT
iajs-4065	28	65	alpha	alpha	NOUN
iajs-4065	28	66	power	power	NOUN
iajs-4065	28	67	pareto	pareto	NOUN
iajs-4065	28	68	(	(	PUNCT
iajs-4065	28	69	6	6	NUM
iajs-4065	28	70	)	)	PUNCT
iajs-4065	28	71	,	,	PUNCT
iajs-4065	28	72	alpha	alpha	NOUN
iajs-4065	28	73	power	power	NOUN
iajs-4065	28	74	teissier	teissier	NOUN
iajs-4065	28	75	(	(	PUNCT
iajs-4065	28	76	7	7	NUM
iajs-4065	28	77	)	)	PUNCT
iajs-4065	28	78	,	,	PUNCT
iajs-4065	28	79	alpha	alpha	NOUN
iajs-4065	28	80	power	power	NOUN
iajs-4065	28	81	inverse	inverse	PROPN
iajs-4065	28	82	weibull	weibull	NOUN
iajs-4065	28	83	(	(	PUNCT
iajs-4065	28	84	8)	8)	NUM
iajs-4065	28	85	,	,	PUNCT
iajs-4065	28	86	alpha	alpha	NOUN
iajs-4065	28	87	power	power	NOUN
iajs-4065	28	88	exponential	exponential	PROPN
iajs-4065	28	89	weibull	weibull	NOUN
iajs-4065	28	90	(	(	PUNCT
iajs-4065	28	91	9	9	NUM
iajs-4065	28	92	)	)	PUNCT
iajs-4065	28	93	,	,	PUNCT
iajs-4065	28	94	alpha	alpha	NOUN
iajs-4065	28	95	power	power	NOUN
iajs-4065	28	96	exponentiated	exponentiate	VERB
iajs-4065	28	97	inverse	inverse	NOUN
iajs-4065	28	98	rayleigh	rayleigh	PROPN
iajs-4065	28	99	(	(	PUNCT
iajs-4065	28	100	10	10	NUM
iajs-4065	28	101	)	)	PUNCT
iajs-4065	28	102	,	,	PUNCT
iajs-4065	28	103	and	and	CCONJ
iajs-4065	28	104	discrete	discrete	ADJ
iajs-4065	28	105	of	of	ADP
iajs-4065	28	106	alpha	alpha	NOUN
iajs-4065	28	107	power	power	NOUN
iajs-4065	28	108	transformation	transformation	NOUN
iajs-4065	28	109	(	(	PUNCT
iajs-4065	28	110	11	11	NUM
iajs-4065	28	111	)	)	PUNCT
iajs-4065	28	112	.	.	PUNCT
iajs-4065	29	1	while	while	SCONJ
iajs-4065	29	2	other	other	ADJ
iajs-4065	29	3	researchers	researcher	NOUN
iajs-4065	29	4	took	take	VERB
iajs-4065	29	5	another	another	DET
iajs-4065	29	6	approach	approach	NOUN
iajs-4065	29	7	in	in	ADP
iajs-4065	29	8	using	use	VERB
iajs-4065	29	9	generalization	generalization	NOUN
iajs-4065	29	10	,	,	PUNCT
iajs-4065	29	11	weighting	weighting	NOUN
iajs-4065	29	12	,	,	PUNCT
iajs-4065	29	13	and	and	CCONJ
iajs-4065	29	14	expansion	expansion	NOUN
iajs-4065	29	15	methods	method	NOUN
iajs-4065	29	16	for	for	ADP
iajs-4065	29	17	(	(	PUNCT
iajs-4065	29	18	atp	atp	PROPN
iajs-4065	29	19	)	)	PUNCT
iajs-4065	29	20	as	as	ADP
iajs-4065	29	21	in	in	ADP
iajs-4065	29	22	(	(	PUNCT
iajs-4065	29	23	12	12	NUM
iajs-4065	29	24	)	)	PUNCT
iajs-4065	29	25	,	,	PUNCT
iajs-4065	29	26	(	(	PUNCT
iajs-4065	29	27	13	13	NUM
iajs-4065	29	28	)	)	PUNCT
iajs-4065	29	29	,	,	PUNCT
iajs-4065	29	30	(	(	PUNCT
iajs-4065	29	31	14	14	NUM
iajs-4065	29	32	)	)	PUNCT
iajs-4065	29	33	,	,	PUNCT
iajs-4065	29	34	(	(	PUNCT
iajs-4065	29	35	15	15	NUM
iajs-4065	29	36	)	)	PUNCT
iajs-4065	29	37	,	,	PUNCT
iajs-4065	29	38	(	(	PUNCT
iajs-4065	29	39	16	16	NUM
iajs-4065	29	40	)	)	PUNCT
iajs-4065	29	41	,	,	PUNCT
iajs-4065	29	42	(	(	PUNCT
iajs-4065	29	43	17	17	NUM
iajs-4065	29	44	)	)	PUNCT
iajs-4065	29	45	,	,	PUNCT
iajs-4065	29	46	(	(	PUNCT
iajs-4065	29	47	18	18	NUM
iajs-4065	29	48	)	)	PUNCT
iajs-4065	29	49	,	,	PUNCT
iajs-4065	29	50	and	and	CCONJ
iajs-4065	29	51	(	(	PUNCT
iajs-4065	29	52	19	19	NUM
iajs-4065	29	53	)	)	PUNCT
iajs-4065	29	54	.	.	PUNCT
iajs-4065	30	1	the	the	DET
iajs-4065	30	2	basic	basic	ADJ
iajs-4065	30	3	idea	idea	NOUN
iajs-4065	30	4	of	of	ADP
iajs-4065	30	5	this	this	DET
iajs-4065	30	6	paper	paper	NOUN
iajs-4065	30	7	is	be	AUX
iajs-4065	30	8	to	to	PART
iajs-4065	30	9	produce	produce	VERB
iajs-4065	30	10	a	a	DET
iajs-4065	30	11	sub	sub	NOUN
iajs-4065	30	12	-	-	NOUN
iajs-4065	30	13	model	model	NOUN
iajs-4065	30	14	resulting	result	VERB
iajs-4065	30	15	from	from	ADP
iajs-4065	30	16	the	the	DET
iajs-4065	30	17	use	use	NOUN
iajs-4065	30	18	of	of	ADP
iajs-4065	30	19	a	a	DET
iajs-4065	30	20	distribution	distribution	NOUN
iajs-4065	30	21	that	that	PRON
iajs-4065	30	22	is	be	AUX
iajs-4065	30	23	essentially	essentially	ADV
iajs-4065	30	24	the	the	DET
iajs-4065	30	25	result	result	NOUN
iajs-4065	30	26	of	of	ADP
iajs-4065	30	27	a	a	DET
iajs-4065	30	28	combination	combination	NOUN
iajs-4065	30	29	of	of	ADP
iajs-4065	30	30	two	two	NUM
iajs-4065	30	31	distributions	distribution	NOUN
iajs-4065	30	32	.	.	PUNCT
iajs-4065	31	1	the	the	DET
iajs-4065	31	2	idea	idea	NOUN
iajs-4065	31	3	of	of	ADP
iajs-4065	31	4	the	the	DET
iajs-4065	31	5	combination	combination	NOUN
iajs-4065	31	6	was	be	AUX
iajs-4065	31	7	originally	originally	ADV
iajs-4065	31	8	introduced	introduce	VERB
iajs-4065	31	9	by	by	ADP
iajs-4065	31	10	(	(	PUNCT
iajs-4065	31	11	20	20	NUM
iajs-4065	31	12	)	)	PUNCT
iajs-4065	31	13	,	,	PUNCT
iajs-4065	31	14	this	this	DET
iajs-4065	31	15	method	method	NOUN
iajs-4065	31	16	has	have	AUX
iajs-4065	31	17	been	be	AUX
iajs-4065	31	18	exploited	exploit	VERB
iajs-4065	31	19	to	to	PART
iajs-4065	31	20	provide	provide	VERB
iajs-4065	31	21	rayleigh	rayleigh	PROPN
iajs-4065	31	22	weibull	weibull	PROPN
iajs-4065	31	23	by	by	ADP
iajs-4065	31	24	(	(	PUNCT
iajs-4065	31	25	21	21	NUM
iajs-4065	31	26	)	)	PUNCT
iajs-4065	31	27	,	,	PUNCT
iajs-4065	31	28	also	also	ADV
iajs-4065	31	29	provide	provide	VERB
iajs-4065	31	30	shanker	shanker	PROPN
iajs-4065	31	31	weibull	weibull	PROPN
iajs-4065	31	32	(	(	PUNCT
iajs-4065	31	33	22	22	NUM
iajs-4065	31	34	)	)	PUNCT
iajs-4065	31	35	and	and	CCONJ
iajs-4065	31	36	exponential	exponential	ADJ
iajs-4065	31	37	rayleigh	rayleigh	NOUN
iajs-4065	31	38	(	(	PUNCT
iajs-4065	31	39	23	23	NUM
iajs-4065	31	40	)	)	PUNCT
iajs-4065	31	41	,	,	PUNCT
iajs-4065	31	42	the	the	DET
iajs-4065	31	43	two	two	NUM
iajs-4065	31	44	parameters	parameter	NOUN
iajs-4065	31	45	rayleigh	rayleigh	PROPN
iajs-4065	31	46	weibull	weibull	PROPN
iajs-4065	31	47	distribution	distribution	NOUN
iajs-4065	31	48	introduced	introduce	VERB
iajs-4065	31	49	by	by	ADP
iajs-4065	31	50	(	(	PUNCT
iajs-4065	31	51	24	24	NUM
iajs-4065	31	52	)	)	PUNCT
iajs-4065	31	53	with	with	ADP
iajs-4065	31	54	cdf	cdf	PROPN
iajs-4065	31	55	and	and	CCONJ
iajs-4065	31	56	pdf	pdf	NOUN
iajs-4065	31	57	take	take	NOUN
iajs-4065	31	58	forms	form	NOUN
iajs-4065	31	59	as	as	SCONJ
iajs-4065	31	60	follows	follow	VERB
iajs-4065	31	61	:	:	PUNCT
iajs-4065	31	62	(	(	PUNCT
iajs-4065	31	63	)	)	PUNCT
iajs-4065	31	64	(	(	PUNCT
iajs-4065	31	65	3	3	X
iajs-4065	31	66	)	)	PUNCT
iajs-4065	31	67	(	(	PUNCT
iajs-4065	31	68	)	)	PUNCT
iajs-4065	31	69	(	(	PUNCT
iajs-4065	31	70	4	4	X
iajs-4065	31	71	)	)	PUNCT
iajs-4065	31	72	the	the	DET
iajs-4065	31	73	alpha	alpha	NOUN
iajs-4065	31	74	power	power	NOUN
iajs-4065	31	75	transformations	transformation	NOUN
iajs-4065	31	76	family	family	NOUN
iajs-4065	31	77	is	be	AUX
iajs-4065	31	78	used	use	VERB
iajs-4065	31	79	to	to	PART
iajs-4065	31	80	increase	increase	VERB
iajs-4065	31	81	the	the	DET
iajs-4065	31	82	elasticity	elasticity	NOUN
iajs-4065	31	83	of	of	ADP
iajs-4065	31	84	basic	basic	ADJ
iajs-4065	31	85	distributions	distribution	NOUN
iajs-4065	31	86	by	by	ADP
iajs-4065	31	87	introducing	introduce	VERB
iajs-4065	31	88	an	an	DET
iajs-4065	31	89	additional	additional	ADJ
iajs-4065	31	90	parameter	parameter	NOUN
iajs-4065	31	91	that	that	PRON
iajs-4065	31	92	allows	allow	VERB
iajs-4065	31	93	the	the	DET
iajs-4065	31	94	cumulative	cumulative	ADJ
iajs-4065	31	95	distribution	distribution	NOUN
iajs-4065	31	96	function	function	NOUN
iajs-4065	31	97	(	(	PUNCT
iajs-4065	31	98	cdf	cdf	PROPN
iajs-4065	31	99	)	)	PUNCT
iajs-4065	31	100	to	to	PART
iajs-4065	31	101	be	be	AUX
iajs-4065	31	102	modified	modify	VERB
iajs-4065	31	103	nonlinearly	nonlinearly	ADV
iajs-4065	31	104	.	.	PUNCT
iajs-4065	32	1	when	when	SCONJ
iajs-4065	32	2	combined	combine	VERB
iajs-4065	32	3	with	with	ADP
iajs-4065	32	4	the	the	DET
iajs-4065	32	5	rayleigh	rayleigh	PROPN
iajs-4065	32	6	-	-	PUNCT
iajs-4065	32	7	weibull	weibull	PROPN
iajs-4065	32	8	distribution	distribution	NOUN
iajs-4065	32	9	,	,	PUNCT
iajs-4065	32	10	which	which	PRON
iajs-4065	32	11	is	be	AUX
iajs-4065	32	12	already	already	ADV
iajs-4065	32	13	relatively	relatively	ADV
iajs-4065	32	14	elastic	elastic	ADJ
iajs-4065	32	15	,	,	PUNCT
iajs-4065	32	16	the	the	DET
iajs-4065	32	17	result	result	NOUN
iajs-4065	32	18	is	be	AUX
iajs-4065	32	19	a	a	DET
iajs-4065	32	20	three	three	NUM
iajs-4065	32	21	-	-	PUNCT
iajs-4065	32	22	parameter	parameter	NOUN
iajs-4065	32	23	distribution	distribution	NOUN
iajs-4065	32	24	that	that	PRON
iajs-4065	32	25	can	can	AUX
iajs-4065	32	26	more	more	ADV
iajs-4065	32	27	accurately	accurately	ADV
iajs-4065	32	28	represent	represent	VERB
iajs-4065	32	29	life	life	NOUN
iajs-4065	32	30	or	or	CCONJ
iajs-4065	32	31	reliability	reliability	NOUN
iajs-4065	32	32	data	datum	NOUN
iajs-4065	32	33	.	.	PUNCT
iajs-4065	33	1	the	the	DET
iajs-4065	33	2	next	next	ADJ
iajs-4065	33	3	moves	move	NOUN
iajs-4065	33	4	are	be	AUX
iajs-4065	33	5	summarized	summarize	VERB
iajs-4065	33	6	in	in	ADP
iajs-4065	33	7	the	the	DET
iajs-4065	33	8	mathematical	mathematical	ADJ
iajs-4065	33	9	construction	construction	NOUN
iajs-4065	33	10	of	of	ADP
iajs-4065	33	11	(	(	PUNCT
iajs-4065	33	12	aprwd	aprwd	NOUN
iajs-4065	33	13	)	)	PUNCT
iajs-4065	33	14	,	,	PUNCT
iajs-4065	33	15	the	the	DET
iajs-4065	33	16	expansion	expansion	NOUN
iajs-4065	33	17	of	of	ADP
iajs-4065	33	18	the	the	DET
iajs-4065	33	19	pdf	pdf	NOUN
iajs-4065	33	20	,	,	PUNCT
iajs-4065	33	21	and	and	CCONJ
iajs-4065	33	22	the	the	DET
iajs-4065	33	23	investigation	investigation	NOUN
iajs-4065	33	24	of	of	ADP
iajs-4065	33	25	the	the	DET
iajs-4065	33	26	mathematical	mathematical	ADJ
iajs-4065	33	27	and	and	CCONJ
iajs-4065	33	28	statistical	statistical	ADJ
iajs-4065	33	29	properties	property	NOUN
iajs-4065	33	30	of	of	ADP
iajs-4065	33	31	(	(	PUNCT
iajs-4065	33	32	aprwd	aprwd	NOUN
iajs-4065	33	33	)	)	PUNCT
iajs-4065	33	34	.	.	PUNCT
iajs-4065	34	1	2	2	X
iajs-4065	34	2	.	.	X
iajs-4065	34	3	structure	structure	NOUN
iajs-4065	34	4	of	of	ADP
iajs-4065	34	5	new	new	ADJ
iajs-4065	34	6	aprwd	aprwd	NOUN
iajs-4065	34	7	.	.	PUNCT
iajs-4065	35	1	the	the	DET
iajs-4065	35	2	random	random	ADJ
iajs-4065	35	3	variable	variable	NOUN
iajs-4065	35	4	x	x	X
iajs-4065	35	5	>	>	PUNCT
iajs-4065	35	6	0	0	PUNCT
iajs-4065	35	7	and	and	CCONJ
iajs-4065	35	8	,	,	PUNCT
iajs-4065	35	9	>	>	X
iajs-4065	35	10	0	0	NUM
iajs-4065	35	11	where	where	SCONJ
iajs-4065	35	12	alpha	alpha	NOUN
iajs-4065	35	13	and	and	CCONJ
iajs-4065	35	14	beta	beta	NOUN
iajs-4065	35	15	are	be	AUX
iajs-4065	35	16	classified	classify	VERB
iajs-4065	35	17	as	as	ADP
iajs-4065	35	18	scale	scale	NOUN
iajs-4065	35	19	parameters	parameter	NOUN
iajs-4065	35	20	and	and	CCONJ
iajs-4065	35	21	>	>	ADP
iajs-4065	35	22	0the	0the	DET
iajs-4065	35	23	gamma	gamma	PROPN
iajs-4065	35	24	parameter	parameter	NOUN
iajs-4065	35	25	is	be	AUX
iajs-4065	35	26	classified	classify	VERB
iajs-4065	35	27	as	as	ADP
iajs-4065	35	28	a	a	DET
iajs-4065	35	29	shape	shape	NOUN
iajs-4065	35	30	parameter	parameter	NOUN
iajs-4065	35	31	.	.	PUNCT
iajs-4065	36	1	{	{	PUNCT
iajs-4065	36	2	(	(	PUNCT
iajs-4065	36	3	)	)	PUNCT
iajs-4065	36	4	(	(	PUNCT
iajs-4065	36	5	)	)	PUNCT
iajs-4065	36	6	(	(	PUNCT
iajs-4065	36	7	5	5	X
iajs-4065	36	8	)	)	PUNCT
iajs-4065	36	9	{	{	PUNCT
iajs-4065	36	10	(	(	PUNCT
iajs-4065	36	11	)	)	PUNCT
iajs-4065	36	12	(	(	PUNCT
iajs-4065	36	13	)	)	PUNCT
iajs-4065	36	14	(	(	PUNCT
iajs-4065	36	15	)	)	PUNCT
iajs-4065	36	16	(	(	PUNCT
iajs-4065	36	17	)	)	PUNCT
iajs-4065	36	18	(	(	PUNCT
iajs-4065	36	19	)	)	PUNCT
iajs-4065	36	20	(	(	PUNCT
iajs-4065	36	21	6	6	NUM
iajs-4065	36	22	)	)	PUNCT
iajs-4065	36	23	because	because	SCONJ
iajs-4065	36	24	,	,	PUNCT
iajs-4065	36	25	and	and	CCONJ
iajs-4065	36	26	all	all	PRON
iajs-4065	36	27	imply	imply	VERB
iajs-4065	36	28	.	.	PUNCT
iajs-4065	37	1	let	let	VERB
iajs-4065	37	2	's	us	PRON
iajs-4065	37	3	now	now	ADV
iajs-4065	37	4	demonstrate	demonstrate	VERB
iajs-4065	37	5	that	that	SCONJ
iajs-4065	37	6	∫	∫	PROPN
iajs-4065	37	7	.	.	PUNCT
iajs-4065	38	1	ihjpas	ihjpas	PROPN
iajs-4065	38	2	.	.	PUNCT
iajs-4065	39	1	2025,38(4	2025,38(4	X
iajs-4065	39	2	)	)	PUNCT
iajs-4065	39	3	354	354	NUM
iajs-4065	39	4	∫	∫	NOUN
iajs-4065	39	5	∫	∫	PROPN
iajs-4065	39	6	(	(	PUNCT
iajs-4065	39	7	)	)	PUNCT
iajs-4065	39	8	(	(	PUNCT
iajs-4065	39	9	)	)	PUNCT
iajs-4065	39	10	(	(	PUNCT
iajs-4065	39	11	)	)	PUNCT
iajs-4065	39	12	⌈	⌈	PROPN
iajs-4065	39	13	(	(	PUNCT
iajs-4065	39	14	)	)	PUNCT
iajs-4065	39	15	⌉	⌉	X
iajs-4065	39	16	(	(	PUNCT
iajs-4065	39	17	)	)	PUNCT
iajs-4065	39	18	the	the	DET
iajs-4065	39	19	following	follow	VERB
iajs-4065	39	20	is	be	AUX
iajs-4065	39	21	a	a	DET
iajs-4065	39	22	definition	definition	NOUN
iajs-4065	39	23	of	of	ADP
iajs-4065	39	24	survival	survival	NOUN
iajs-4065	39	25	and	and	CCONJ
iajs-4065	39	26	hazard	hazard	NOUN
iajs-4065	39	27	functions	function	NOUN
iajs-4065	39	28	.	.	PUNCT
iajs-4065	40	1	{	{	PUNCT
iajs-4065	40	2	(	(	PUNCT
iajs-4065	40	3	(	(	PUNCT
iajs-4065	40	4	)	)	PUNCT
iajs-4065	40	5	)	)	PUNCT
iajs-4065	40	6	(	(	PUNCT
iajs-4065	40	7	)	)	PUNCT
iajs-4065	40	8	(	(	PUNCT
iajs-4065	40	9	7	7	X
iajs-4065	40	10	)	)	PUNCT
iajs-4065	40	11	{	{	PUNCT
iajs-4065	40	12	(	(	PUNCT
iajs-4065	40	13	)	)	PUNCT
iajs-4065	40	14	(	(	PUNCT
iajs-4065	40	15	)	)	PUNCT
iajs-4065	40	16	(	(	PUNCT
iajs-4065	40	17	)	)	PUNCT
iajs-4065	40	18	(	(	PUNCT
iajs-4065	40	19	)	)	PUNCT
iajs-4065	40	20	(	(	PUNCT
iajs-4065	40	21	)	)	PUNCT
iajs-4065	40	22	(	(	PUNCT
iajs-4065	40	23	8)	8)	NUM
iajs-4065	40	24	2.1	2.1	NUM
iajs-4065	40	25	.	.	PUNCT
iajs-4065	41	1	the	the	DET
iajs-4065	41	2	shapes	shape	NOUN
iajs-4065	41	3	of	of	ADP
iajs-4065	41	4	(	(	PUNCT
iajs-4065	41	5	aprwd	aprwd	NOUN
iajs-4065	41	6	)	)	PUNCT
iajs-4065	41	7	(	(	PUNCT
iajs-4065	41	8	(	(	PUNCT
iajs-4065	41	9	)	)	PUNCT
iajs-4065	41	10	(	(	PUNCT
iajs-4065	41	11	)	)	PUNCT
iajs-4065	41	12	(	(	PUNCT
iajs-4065	41	13	)	)	PUNCT
iajs-4065	41	14	)	)	PUNCT
iajs-4065	41	15	(	(	PUNCT
iajs-4065	41	16	(	(	PUNCT
iajs-4065	41	17	)	)	PUNCT
iajs-4065	41	18	(	(	PUNCT
iajs-4065	41	19	)	)	PUNCT
iajs-4065	41	20	(	(	PUNCT
iajs-4065	41	21	)	)	PUNCT
iajs-4065	41	22	)	)	PUNCT
iajs-4065	41	23	ihjpas	ihjpas	PROPN
iajs-4065	41	24	.	.	PUNCT
iajs-4065	42	1	2025,38(4	2025,38(4	NOUN
iajs-4065	42	2	)	)	PUNCT
iajs-4065	42	3	355	355	NUM
iajs-4065	42	4	the	the	DET
iajs-4065	42	5	effect	effect	NOUN
iajs-4065	42	6	of	of	ADP
iajs-4065	42	7	the	the	DET
iajs-4065	42	8	distribution	distribution	NOUN
iajs-4065	42	9	parameters	parameter	NOUN
iajs-4065	42	10	is	be	AUX
iajs-4065	42	11	represented	represent	VERB
iajs-4065	42	12	by	by	ADP
iajs-4065	42	13	the	the	DET
iajs-4065	42	14	following	following	NOUN
iajs-4065	42	15	:	:	PUNCT
iajs-4065	42	16	(	(	PUNCT
iajs-4065	42	17	α	α	NOUN
iajs-4065	42	18	)	)	PUNCT
iajs-4065	42	19	controls	control	VERB
iajs-4065	42	20	the	the	DET
iajs-4065	42	21	shape	shape	NOUN
iajs-4065	42	22	of	of	ADP
iajs-4065	42	23	the	the	DET
iajs-4065	42	24	distribution	distribution	NOUN
iajs-4065	42	25	,	,	PUNCT
iajs-4065	42	26	especially	especially	ADV
iajs-4065	42	27	the	the	DET
iajs-4065	42	28	tail	tail	NOUN
iajs-4065	42	29	,	,	PUNCT
iajs-4065	42	30	(	(	PUNCT
iajs-4065	42	31	)	)	PUNCT
iajs-4065	42	32	the	the	DET
iajs-4065	42	33	scaling	scaling	NOUN
iajs-4065	42	34	parameter	parameter	NOUN
iajs-4065	42	35	,	,	PUNCT
iajs-4065	42	36	and	and	CCONJ
iajs-4065	42	37	(	(	PUNCT
iajs-4065	42	38	):	):	PUNCT
iajs-4065	42	39	the	the	DET
iajs-4065	42	40	basic	basic	ADJ
iajs-4065	42	41	shape	shape	NOUN
iajs-4065	42	42	parameter	parameter	NOUN
iajs-4065	42	43	(	(	PUNCT
iajs-4065	42	44	related	relate	VERB
iajs-4065	42	45	to	to	ADP
iajs-4065	42	46	the	the	DET
iajs-4065	42	47	weibull	weibull	NOUN
iajs-4065	42	48	)	)	PUNCT
iajs-4065	42	49	.	.	PUNCT
iajs-4065	43	1	each	each	PRON
iajs-4065	43	2	of	of	ADP
iajs-4065	43	3	these	these	DET
iajs-4065	43	4	parameters	parameter	NOUN
iajs-4065	43	5	affects	affect	VERB
iajs-4065	43	6	distribution	distribution	NOUN
iajs-4065	43	7	properties	property	NOUN
iajs-4065	43	8	such	such	ADJ
iajs-4065	43	9	as	as	ADP
iajs-4065	43	10	kurtosis	kurtosis	NOUN
iajs-4065	43	11	and	and	CCONJ
iajs-4065	43	12	skewness	skewness	NOUN
iajs-4065	43	13	.	.	PUNCT
iajs-4065	44	1	2.2	2.2	NUM
iajs-4065	44	2	.	.	PUNCT
iajs-4065	45	1	expanding	expand	VERB
iajs-4065	45	2	the	the	DET
iajs-4065	45	3	pdf	pdf	NOUN
iajs-4065	45	4	to	to	PART
iajs-4065	45	5	make	make	VERB
iajs-4065	45	6	the	the	DET
iajs-4065	45	7	process	process	NOUN
iajs-4065	45	8	of	of	ADP
iajs-4065	45	9	determining	determine	VERB
iajs-4065	45	10	the	the	DET
iajs-4065	45	11	statistical	statistical	ADJ
iajs-4065	45	12	characteristics	characteristic	NOUN
iajs-4065	45	13	of	of	ADP
iajs-4065	45	14	the	the	DET
iajs-4065	45	15	aprwd	aprwd	NOUN
iajs-4065	45	16	distribution	distribution	NOUN
iajs-4065	45	17	simpler	simple	ADJ
iajs-4065	45	18	,	,	PUNCT
iajs-4065	45	19	we	we	PRON
iajs-4065	45	20	employ	employ	VERB
iajs-4065	45	21	a	a	DET
iajs-4065	45	22	few	few	ADJ
iajs-4065	45	23	mathematical	mathematical	ADJ
iajs-4065	45	24	methods	method	NOUN
iajs-4065	45	25	to	to	PART
iajs-4065	45	26	expand	expand	VERB
iajs-4065	45	27	the	the	DET
iajs-4065	45	28	cumulative	cumulative	ADJ
iajs-4065	45	29	and	and	CCONJ
iajs-4065	45	30	probability	probability	NOUN
iajs-4065	45	31	density	density	NOUN
iajs-4065	45	32	functions	function	NOUN
iajs-4065	45	33	(	(	PUNCT
iajs-4065	45	34	25)and	25)and	NUM
iajs-4065	45	35	(	(	PUNCT
iajs-4065	45	36	26	26	NUM
iajs-4065	45	37	)	)	PUNCT
iajs-4065	45	38	.	.	PUNCT
iajs-4065	46	1	(	(	PUNCT
iajs-4065	46	2	)	)	PUNCT
iajs-4065	46	3	(	(	PUNCT
iajs-4065	46	4	)	)	PUNCT
iajs-4065	46	5	(	(	PUNCT
iajs-4065	46	6	)	)	PUNCT
iajs-4065	46	7	(	(	PUNCT
iajs-4065	46	8	)	)	PUNCT
iajs-4065	46	9	(	(	PUNCT
iajs-4065	46	10	)	)	PUNCT
iajs-4065	46	11	(	(	PUNCT
iajs-4065	46	12	)	)	PUNCT
iajs-4065	46	13	∑	∑	PROPN
iajs-4065	46	14	(	(	PUNCT
iajs-4065	46	15	)	)	PUNCT
iajs-4065	46	16	(	(	PUNCT
iajs-4065	46	17	)	)	PUNCT
iajs-4065	46	18	(	(	PUNCT
iajs-4065	46	19	)	)	PUNCT
iajs-4065	46	20	(	(	PUNCT
iajs-4065	46	21	)	)	PUNCT
iajs-4065	46	22	(	(	PUNCT
iajs-4065	46	23	)	)	PUNCT
iajs-4065	46	24	(	(	PUNCT
iajs-4065	46	25	)	)	PUNCT
iajs-4065	46	26	(	(	PUNCT
iajs-4065	46	27	)	)	PUNCT
iajs-4065	46	28	(	(	PUNCT
iajs-4065	46	29	)	)	PUNCT
iajs-4065	46	30	∑	∑	PROPN
iajs-4065	46	31	(	(	PUNCT
iajs-4065	46	32	)	)	PUNCT
iajs-4065	46	33	(	(	PUNCT
iajs-4065	46	34	)	)	PUNCT
iajs-4065	46	35	∑	∑	ADP
iajs-4065	46	36	∑	∑	PUNCT
iajs-4065	46	37	(	(	PUNCT
iajs-4065	46	38	)	)	PUNCT
iajs-4065	46	39	(	(	PUNCT
iajs-4065	46	40	)	)	PUNCT
iajs-4065	46	41	∑	∑	PROPN
iajs-4065	46	42	(	(	PUNCT
iajs-4065	46	43	)	)	PUNCT
iajs-4065	46	44	(	(	PUNCT
iajs-4065	46	45	)	)	PUNCT
iajs-4065	46	46	(	(	PUNCT
iajs-4065	46	47	9	9	NUM
iajs-4065	46	48	)	)	SYM
iajs-4065	46	49	3	3	NUM
iajs-4065	46	50	.	.	NOUN
iajs-4065	46	51	mathematical	mathematical	ADJ
iajs-4065	46	52	and	and	CCONJ
iajs-4065	46	53	statistical	statistical	ADJ
iajs-4065	46	54	properties	property	NOUN
iajs-4065	46	55	of	of	ADP
iajs-4065	46	56	(	(	PUNCT
iajs-4065	46	57	aprwd	aprwd	NOUN
iajs-4065	46	58	)	)	PUNCT
iajs-4065	46	59	3.1	3.1	NUM
iajs-4065	46	60	.	.	PUNCT
iajs-4065	47	1	moments	moment	NOUN
iajs-4065	47	2	moments	moment	NOUN
iajs-4065	47	3	are	be	AUX
iajs-4065	47	4	among	among	ADP
iajs-4065	47	5	the	the	DET
iajs-4065	47	6	most	most	ADV
iajs-4065	47	7	significant	significant	ADJ
iajs-4065	47	8	distribution	distribution	NOUN
iajs-4065	47	9	properties	property	NOUN
iajs-4065	47	10	since	since	SCONJ
iajs-4065	47	11	they	they	PRON
iajs-4065	47	12	affect	affect	VERB
iajs-4065	47	13	a	a	DET
iajs-4065	47	14	wide	wide	ADJ
iajs-4065	47	15	range	range	NOUN
iajs-4065	47	16	of	of	ADP
iajs-4065	47	17	other	other	ADJ
iajs-4065	47	18	distribution	distribution	NOUN
iajs-4065	47	19	characteristics	characteristic	NOUN
iajs-4065	47	20	,	,	PUNCT
iajs-4065	47	21	including	include	VERB
iajs-4065	47	22	mean	mean	NOUN
iajs-4065	47	23	,	,	PUNCT
iajs-4065	47	24	variance	variance	NOUN
iajs-4065	47	25	,	,	PUNCT
iajs-4065	47	26	skewness	skewness	NOUN
iajs-4065	47	27	,	,	PUNCT
iajs-4065	47	28	and	and	CCONJ
iajs-4065	47	29	kurtosis	kurtosis	NOUN
iajs-4065	47	30	(	(	PUNCT
iajs-4065	47	31	27	27	NUM
iajs-4065	47	32	)	)	PUNCT
iajs-4065	47	33	and	and	CCONJ
iajs-4065	47	34	(	(	PUNCT
iajs-4065	47	35	28	28	NUM
iajs-4065	47	36	)	)	PUNCT
iajs-4065	47	37	,	,	PUNCT
iajs-4065	47	38	the	the	DET
iajs-4065	47	39	moments	moment	NOUN
iajs-4065	47	40	of	of	ADP
iajs-4065	47	41	(	(	PUNCT
iajs-4065	47	42	aprwd	aprwd	NOUN
iajs-4065	47	43	)	)	PUNCT
iajs-4065	47	44	could	could	AUX
iajs-4065	47	45	be	be	AUX
iajs-4065	47	46	obtained	obtain	VERB
iajs-4065	47	47	as	as	ADP
iajs-4065	47	48	follows	follow	VERB
iajs-4065	47	49	:	:	PUNCT
iajs-4065	47	50	∫	∫	PROPN
iajs-4065	47	51	∫	∫	PROPN
iajs-4065	47	52	(	(	PUNCT
iajs-4065	47	53	)	)	PUNCT
iajs-4065	47	54	√	√	ADP
iajs-4065	47	55	√	√	NUM
iajs-4065	47	56	√	√	NUM
iajs-4065	47	57	ihjpas	ihjpa	NOUN
iajs-4065	47	58	.	.	PUNCT
iajs-4065	48	1	2025,38(4	2025,38(4	NOUN
iajs-4065	48	2	)	)	PUNCT
iajs-4065	48	3	356	356	NUM
iajs-4065	48	4	∫	∫	NOUN
iajs-4065	48	5	(	(	PUNCT
iajs-4065	48	6	)	)	PUNCT
iajs-4065	48	7	√	√	PROPN
iajs-4065	48	8	√	√	NUM
iajs-4065	48	9	∫	∫	PROPN
iajs-4065	48	10	(	(	PUNCT
iajs-4065	48	11	)	)	PUNCT
iajs-4065	48	12	√	√	ADP
iajs-4065	48	13	√	√	INTJ
iajs-4065	48	14	(	(	PUNCT
iajs-4065	48	15	)	)	PUNCT
iajs-4065	48	16	∫	∫	PROPN
iajs-4065	48	17	(	(	PUNCT
iajs-4065	48	18	)	)	PUNCT
iajs-4065	48	19	∫	∫	PROPN
iajs-4065	48	20	(	(	PUNCT
iajs-4065	48	21	)	)	PUNCT
iajs-4065	48	22	(	(	PUNCT
iajs-4065	48	23	)	)	PUNCT
iajs-4065	48	24	(	(	PUNCT
iajs-4065	48	25	)	)	PUNCT
iajs-4065	48	26	(	(	PUNCT
iajs-4065	48	27	)	)	PUNCT
iajs-4065	48	28	(	(	PUNCT
iajs-4065	48	29	10	10	NUM
iajs-4065	48	30	)	)	PUNCT
iajs-4065	48	31	(	(	PUNCT
iajs-4065	48	32	)	)	PUNCT
iajs-4065	48	33	(	(	PUNCT
iajs-4065	48	34	)	)	PUNCT
iajs-4065	48	35	(	(	PUNCT
iajs-4065	48	36	)	)	PUNCT
iajs-4065	48	37	(	(	PUNCT
iajs-4065	48	38	)	)	PUNCT
iajs-4065	48	39	(	(	PUNCT
iajs-4065	48	40	)	)	PUNCT
iajs-4065	48	41	(	(	PUNCT
iajs-4065	48	42	(	(	PUNCT
iajs-4065	48	43	)	)	PUNCT
iajs-4065	48	44	)	)	PUNCT
iajs-4065	48	45	(	(	PUNCT
iajs-4065	48	46	)	)	PUNCT
iajs-4065	48	47	(	(	PUNCT
iajs-4065	48	48	)	)	PUNCT
iajs-4065	48	49	(	(	PUNCT
iajs-4065	48	50	)	)	PUNCT
iajs-4065	48	51	(	(	PUNCT
iajs-4065	48	52	)	)	PUNCT
iajs-4065	48	53	3.2	3.2	NUM
iajs-4065	48	54	.	.	PUNCT
iajs-4065	49	1	the	the	DET
iajs-4065	49	2	mode	mode	NOUN
iajs-4065	49	3	finding	find	VERB
iajs-4065	49	4	the	the	DET
iajs-4065	49	5	point	point	NOUN
iajs-4065	49	6	at	at	ADP
iajs-4065	49	7	which	which	PRON
iajs-4065	49	8	is	be	AUX
iajs-4065	49	9	made	make	VERB
iajs-4065	49	10	the	the	DET
iajs-4065	49	11	probability	probability	NOUN
iajs-4065	49	12	density	density	NOUN
iajs-4065	49	13	function	function	NOUN
iajs-4065	49	14	in	in	ADP
iajs-4065	49	15	a	a	DET
iajs-4065	49	16	way	way	NOUN
iajs-4065	49	17	that	that	PRON
iajs-4065	49	18	reaches	reach	VERB
iajs-4065	49	19	the	the	DET
iajs-4065	49	20	highest	high	ADJ
iajs-4065	49	21	value	value	NOUN
iajs-4065	49	22	.	.	PUNCT
iajs-4065	50	1	∑	∑	PUNCT
iajs-4065	50	2	(	(	PUNCT
iajs-4065	50	3	)	)	PUNCT
iajs-4065	50	4	(	(	PUNCT
iajs-4065	50	5	)	)	PUNCT
iajs-4065	50	6	∑	∑	ADP
iajs-4065	50	7	∑	∑	PUNCT
iajs-4065	50	8	(	(	PUNCT
iajs-4065	50	9	)	)	PUNCT
iajs-4065	50	10	(	(	PUNCT
iajs-4065	50	11	)	)	PUNCT
iajs-4065	50	12	∑	∑	PROPN
iajs-4065	50	13	(	(	PUNCT
iajs-4065	50	14	)	)	PUNCT
iajs-4065	50	15	ihjpas	ihjpas	PROPN
iajs-4065	50	16	.	.	PUNCT
iajs-4065	51	1	2025,38(4	2025,38(4	NOUN
iajs-4065	51	2	)	)	PUNCT
iajs-4065	52	1	357	357	NUM
iajs-4065	52	2	(	(	PUNCT
iajs-4065	52	3	)	)	PUNCT
iajs-4065	52	4	(	(	PUNCT
iajs-4065	52	5	)	)	PUNCT
iajs-4065	52	6	divided	divide	VERB
iajs-4065	52	7	both	both	DET
iajs-4065	52	8	sides	side	NOUN
iajs-4065	52	9	of	of	ADP
iajs-4065	52	10	the	the	DET
iajs-4065	52	11	above	above	ADJ
iajs-4065	52	12	equation	equation	NOUN
iajs-4065	52	13	by	by	ADP
iajs-4065	52	14	(	(	PUNCT
iajs-4065	52	15	)	)	PUNCT
iajs-4065	52	16	(	(	PUNCT
iajs-4065	52	17	)	)	PUNCT
iajs-4065	52	18	(	(	PUNCT
iajs-4065	52	19	11	11	NUM
iajs-4065	52	20	)	)	PUNCT
iajs-4065	52	21	3.3	3.3	NUM
iajs-4065	52	22	.	.	PUNCT
iajs-4065	53	1	quantile	quantile	ADJ
iajs-4065	53	2	function	function	PROPN
iajs-4065	53	3	quantile	quantile	NOUN
iajs-4065	53	4	holds	hold	VERB
iajs-4065	53	5	significant	significant	ADJ
iajs-4065	53	6	importance	importance	NOUN
iajs-4065	53	7	both	both	CCONJ
iajs-4065	53	8	in	in	ADP
iajs-4065	53	9	theory	theory	NOUN
iajs-4065	53	10	and	and	CCONJ
iajs-4065	53	11	in	in	ADP
iajs-4065	53	12	practice	practice	NOUN
iajs-4065	53	13	.	.	PUNCT
iajs-4065	54	1	from	from	ADP
iajs-4065	54	2	a	a	DET
iajs-4065	54	3	theoretical	theoretical	ADJ
iajs-4065	54	4	standpoint	standpoint	NOUN
iajs-4065	54	5	,	,	PUNCT
iajs-4065	54	6	it	it	PRON
iajs-4065	54	7	facilitates	facilitate	VERB
iajs-4065	54	8	the	the	DET
iajs-4065	54	9	determination	determination	NOUN
iajs-4065	54	10	of	of	ADP
iajs-4065	54	11	statistical	statistical	ADJ
iajs-4065	54	12	measures	measure	NOUN
iajs-4065	54	13	such	such	ADJ
iajs-4065	54	14	as	as	ADP
iajs-4065	54	15	skewness	skewness	NOUN
iajs-4065	54	16	and	and	CCONJ
iajs-4065	54	17	kurtosis	kurtosis	NOUN
iajs-4065	54	18	(	(	PUNCT
iajs-4065	54	19	29	29	NUM
iajs-4065	54	20	)	)	PUNCT
iajs-4065	54	21	and	and	CCONJ
iajs-4065	54	22	(	(	PUNCT
iajs-4065	54	23	30	30	NUM
iajs-4065	54	24	)	)	PUNCT
iajs-4065	54	25	.	.	PUNCT
iajs-4065	55	1	practically	practically	ADV
iajs-4065	55	2	,	,	PUNCT
iajs-4065	55	3	it	it	PRON
iajs-4065	55	4	is	be	AUX
iajs-4065	55	5	instrumental	instrumental	ADJ
iajs-4065	55	6	in	in	ADP
iajs-4065	55	7	generating	generate	VERB
iajs-4065	55	8	data	datum	NOUN
iajs-4065	55	9	for	for	ADP
iajs-4065	55	10	simulations	simulation	NOUN
iajs-4065	55	11	,	,	PUNCT
iajs-4065	55	12	making	make	VERB
iajs-4065	55	13	it	it	PRON
iajs-4065	55	14	a	a	DET
iajs-4065	55	15	valuable	valuable	ADJ
iajs-4065	55	16	tool	tool	NOUN
iajs-4065	55	17	in	in	ADP
iajs-4065	55	18	various	various	ADJ
iajs-4065	55	19	applications	application	NOUN
iajs-4065	55	20	.	.	PUNCT
iajs-4065	56	1	(	(	PUNCT
iajs-4065	56	2	)	)	PUNCT
iajs-4065	56	3	(	(	PUNCT
iajs-4065	56	4	)	)	PUNCT
iajs-4065	56	5	(	(	PUNCT
iajs-4065	56	6	)	)	PUNCT
iajs-4065	56	7	(	(	PUNCT
iajs-4065	56	8	(	(	PUNCT
iajs-4065	56	9	)	)	PUNCT
iajs-4065	56	10	)	)	PUNCT
iajs-4065	56	11	(	(	PUNCT
iajs-4065	56	12	)	)	PUNCT
iajs-4065	56	13	(	(	PUNCT
iajs-4065	56	14	)	)	PUNCT
iajs-4065	56	15	(	(	PUNCT
iajs-4065	56	16	(	(	PUNCT
iajs-4065	56	17	)	)	PUNCT
iajs-4065	56	18	)	)	PUNCT
iajs-4065	57	1	(	(	PUNCT
iajs-4065	57	2	(	(	PUNCT
iajs-4065	57	3	)	)	PUNCT
iajs-4065	57	4	)	)	PUNCT
iajs-4065	57	5	(	(	PUNCT
iajs-4065	57	6	12	12	X
iajs-4065	57	7	)	)	PUNCT
iajs-4065	57	8	finding	find	VERB
iajs-4065	57	9	the	the	DET
iajs-4065	57	10	roots	root	NOUN
iajs-4065	57	11	of	of	ADP
iajs-4065	57	12	equation	equation	NOUN
iajs-4065	57	13	(	(	PUNCT
iajs-4065	57	14	12	12	NUM
iajs-4065	57	15	)	)	PUNCT
iajs-4065	57	16	represented	represent	VERB
iajs-4065	57	17	by	by	ADP
iajs-4065	57	18	values	value	NOUN
iajs-4065	57	19	of	of	ADP
iajs-4065	57	20	x	x	SYM
iajs-4065	57	21	requires	require	VERB
iajs-4065	57	22	using	use	VERB
iajs-4065	57	23	methods	method	NOUN
iajs-4065	57	24	for	for	ADP
iajs-4065	57	25	solving	solve	VERB
iajs-4065	57	26	nonlinear	nonlinear	ADJ
iajs-4065	57	27	equations	equation	NOUN
iajs-4065	57	28	.	.	PUNCT
iajs-4065	58	1	to	to	PART
iajs-4065	58	2	clarify	clarify	VERB
iajs-4065	58	3	,	,	PUNCT
iajs-4065	58	4	values	value	NOUN
iajs-4065	58	5	can	can	AUX
iajs-4065	58	6	be	be	AUX
iajs-4065	58	7	given	give	VERB
iajs-4065	58	8	for	for	ADP
iajs-4065	58	9	the	the	DET
iajs-4065	58	10	parameter	parameter	NOUN
iajs-4065	58	11	as	as	SCONJ
iajs-4065	58	12	follows	follow	VERB
iajs-4065	58	13	.	.	PUNCT
iajs-4065	59	1	(	(	PUNCT
iajs-4065	59	2	(	(	PUNCT
iajs-4065	59	3	)	)	PUNCT
iajs-4065	59	4	)	)	PUNCT
iajs-4065	59	5	√	√	PROPN
iajs-4065	59	6	(	(	PUNCT
iajs-4065	59	7	(	(	PUNCT
iajs-4065	59	8	)	)	PUNCT
iajs-4065	59	9	)	)	PUNCT
iajs-4065	59	10	(	(	PUNCT
iajs-4065	59	11	)	)	PUNCT
iajs-4065	59	12	(	(	PUNCT
iajs-4065	59	13	(	(	PUNCT
iajs-4065	59	14	)	)	PUNCT
iajs-4065	59	15	)	)	PUNCT
iajs-4065	59	16	ihjpas	ihjpas	PROPN
iajs-4065	59	17	.	.	PUNCT
iajs-4065	60	1	2025,38(4	2025,38(4	NOUN
iajs-4065	60	2	)	)	PUNCT
iajs-4065	61	1	358	358	NUM
iajs-4065	61	2	√	√	NUM
iajs-4065	61	3	(	(	PUNCT
iajs-4065	61	4	(	(	PUNCT
iajs-4065	61	5	)	)	PUNCT
iajs-4065	61	6	)	)	PUNCT
iajs-4065	61	7	(	(	PUNCT
iajs-4065	61	8	)	)	PUNCT
iajs-4065	61	9	median	median	ADJ
iajs-4065	61	10	point	point	NOUN
iajs-4065	61	11	at	at	ADP
iajs-4065	61	12	which	which	PRON
iajs-4065	61	13	the	the	DET
iajs-4065	61	14	cumulative	cumulative	ADJ
iajs-4065	61	15	distribution	distribution	NOUN
iajs-4065	61	16	function	function	NOUN
iajs-4065	61	17	equal	equal	ADJ
iajs-4065	61	18	to	to	ADP
iajs-4065	61	19	0.5	0.5	NUM
iajs-4065	61	20	.	.	PUNCT
iajs-4065	62	1	(	(	PUNCT
iajs-4065	62	2	(	(	PUNCT
iajs-4065	62	3	)	)	PUNCT
iajs-4065	62	4	)	)	PUNCT
iajs-4065	62	5	√	√	PROPN
iajs-4065	62	6	(	(	PUNCT
iajs-4065	62	7	(	(	PUNCT
iajs-4065	62	8	)	)	PUNCT
iajs-4065	62	9	)	)	PUNCT
iajs-4065	63	1	√	√	PROPN
iajs-4065	63	2	(	(	PUNCT
iajs-4065	63	3	(	(	PUNCT
iajs-4065	63	4	)	)	PUNCT
iajs-4065	63	5	)	)	PUNCT
iajs-4065	64	1	(	(	PUNCT
iajs-4065	64	2	⁄	⁄	PROPN
iajs-4065	64	3	)	)	PUNCT
iajs-4065	64	4	3.4	3.4	NUM
iajs-4065	64	5	.	.	PUNCT
iajs-4065	64	6	characteristic	characteristic	ADJ
iajs-4065	64	7	function	function	NOUN
iajs-4065	64	8	(	(	PUNCT
iajs-4065	64	9	)	)	PUNCT
iajs-4065	64	10	∫	∫	PROPN
iajs-4065	64	11	∫	∫	PROPN
iajs-4065	64	12	(	(	PUNCT
iajs-4065	64	13	)	)	PUNCT
iajs-4065	64	14	∑	∑	PROPN
iajs-4065	64	15	∑	∑	PUNCT
iajs-4065	64	16	∫	∫	PROPN
iajs-4065	64	17	(	(	PUNCT
iajs-4065	64	18	)	)	PUNCT
iajs-4065	64	19	∑	∑	PUNCT
iajs-4065	64	20	(	(	PUNCT
iajs-4065	64	21	)	)	PUNCT
iajs-4065	64	22	(	(	PUNCT
iajs-4065	64	23	)	)	PUNCT
iajs-4065	64	24	∑	∑	PROPN
iajs-4065	64	25	(	(	PUNCT
iajs-4065	64	26	)	)	PUNCT
iajs-4065	64	27	(	(	PUNCT
iajs-4065	64	28	)	)	PUNCT
iajs-4065	64	29	(	(	PUNCT
iajs-4065	64	30	13	13	NUM
iajs-4065	64	31	)	)	PUNCT
iajs-4065	64	32	3.5	3.5	NUM
iajs-4065	64	33	.	.	PUNCT
iajs-4065	65	1	factorial	factorial	ADJ
iajs-4065	65	2	moments	moment	NOUN
iajs-4065	65	3	generating	generate	VERB
iajs-4065	65	4	function	function	NOUN
iajs-4065	65	5	∫	∫	PROPN
iajs-4065	65	6	∫	∫	PROPN
iajs-4065	65	7	(	(	PUNCT
iajs-4065	65	8	)	)	PUNCT
iajs-4065	65	9	∑	∑	ADV
iajs-4065	65	10	ihjpas	ihjpas	PROPN
iajs-4065	65	11	.	.	PUNCT
iajs-4065	66	1	2025,38(4	2025,38(4	X
iajs-4065	66	2	)	)	PUNCT
iajs-4065	66	3	359	359	NUM
iajs-4065	66	4	∑	∑	ADV
iajs-4065	66	5	∫	∫	PROPN
iajs-4065	66	6	(	(	PUNCT
iajs-4065	66	7	)	)	PUNCT
iajs-4065	66	8	∑	∑	PUNCT
iajs-4065	66	9	(	(	PUNCT
iajs-4065	66	10	)	)	PUNCT
iajs-4065	66	11	(	(	PUNCT
iajs-4065	66	12	)	)	PUNCT
iajs-4065	66	13	∑	∑	PROPN
iajs-4065	66	14	(	(	PUNCT
iajs-4065	66	15	)	)	PUNCT
iajs-4065	66	16	(	(	PUNCT
iajs-4065	66	17	)	)	PUNCT
iajs-4065	66	18	(	(	PUNCT
iajs-4065	66	19	14	14	NUM
iajs-4065	66	20	)	)	PUNCT
iajs-4065	66	21	3.6	3.6	NUM
iajs-4065	66	22	.	.	PUNCT
iajs-4065	67	1	moment	moment	NOUN
iajs-4065	67	2	generating	generate	VERB
iajs-4065	67	3	function	function	NOUN
iajs-4065	67	4	∫	∫	PROPN
iajs-4065	67	5	∫	∫	PROPN
iajs-4065	67	6	(	(	PUNCT
iajs-4065	67	7	)	)	PUNCT
iajs-4065	67	8	∑	∑	PROPN
iajs-4065	67	9	∑	∑	PUNCT
iajs-4065	67	10	∫	∫	PROPN
iajs-4065	67	11	(	(	PUNCT
iajs-4065	67	12	)	)	PUNCT
iajs-4065	67	13	∑	∑	PUNCT
iajs-4065	67	14	(	(	PUNCT
iajs-4065	67	15	)	)	PUNCT
iajs-4065	67	16	(	(	PUNCT
iajs-4065	67	17	)	)	PUNCT
iajs-4065	67	18	∑	∑	PROPN
iajs-4065	67	19	(	(	PUNCT
iajs-4065	67	20	)	)	PUNCT
iajs-4065	67	21	(	(	PUNCT
iajs-4065	67	22	)	)	PUNCT
iajs-4065	67	23	(	(	PUNCT
iajs-4065	67	24	15	15	NUM
iajs-4065	67	25	)	)	PUNCT
iajs-4065	67	26	3.7	3.7	NUM
iajs-4065	67	27	.	.	PUNCT
iajs-4065	67	28	coefficients	coefficient	NOUN
iajs-4065	67	29	of	of	ADP
iajs-4065	67	30	skewness(c.s	skewness(c.	NOUN
iajs-4065	67	31	)	)	PUNCT
iajs-4065	67	32	and	and	CCONJ
iajs-4065	67	33	kurtosis(c.k	kurtosis(c.k	PROPN
iajs-4065	67	34	)	)	PUNCT
iajs-4065	67	35	(	(	PUNCT
iajs-4065	67	36	)	)	PUNCT
iajs-4065	67	37	(	(	PUNCT
iajs-4065	67	38	)	)	PUNCT
iajs-4065	67	39	(	(	PUNCT
iajs-4065	67	40	)	)	PUNCT
iajs-4065	67	41	(	(	PUNCT
iajs-4065	67	42	)	)	PUNCT
iajs-4065	67	43	(	(	PUNCT
iajs-4065	67	44	)	)	PUNCT
iajs-4065	67	45	(	(	PUNCT
iajs-4065	67	46	)	)	PUNCT
iajs-4065	67	47	(	(	PUNCT
iajs-4065	67	48	)	)	PUNCT
iajs-4065	67	49	(	(	PUNCT
iajs-4065	67	50	)	)	PUNCT
iajs-4065	67	51	(	(	PUNCT
iajs-4065	67	52	16	16	NUM
iajs-4065	67	53	)	)	PUNCT
iajs-4065	67	54	ihjpas	ihjpa	NOUN
iajs-4065	67	55	.	.	PUNCT
iajs-4065	68	1	2025,38(4	2025,38(4	X
iajs-4065	68	2	)	)	PUNCT
iajs-4065	69	1	360	360	NUM
iajs-4065	69	2	(	(	PUNCT
iajs-4065	69	3	)	)	PUNCT
iajs-4065	69	4	(	(	PUNCT
iajs-4065	69	5	)	)	PUNCT
iajs-4065	69	6	(	(	PUNCT
iajs-4065	69	7	)	)	PUNCT
iajs-4065	69	8	(	(	PUNCT
iajs-4065	69	9	)	)	PUNCT
iajs-4065	69	10	(	(	PUNCT
iajs-4065	69	11	17	17	NUM
iajs-4065	69	12	)	)	PUNCT
iajs-4065	69	13	table	table	NOUN
iajs-4065	69	14	1	1	NUM
iajs-4065	69	15	.	.	SYM
iajs-4065	69	16	1	1	NUM
iajs-4065	69	17	st	st	PROPN
iajs-4065	69	18	4	4	NUM
iajs-4065	69	19	th	th	NUM
iajs-4065	69	20	moments	moment	NOUN
iajs-4065	69	21	,	,	PUNCT
iajs-4065	69	22	skewness	skewness	NOUN
iajs-4065	69	23	,	,	PUNCT
iajs-4065	69	24	kurtosis	kurtosis	NOUN
iajs-4065	69	25	,	,	PUNCT
iajs-4065	69	26	variance	variance	NOUN
iajs-4065	69	27	1.5	1.5	NUM
iajs-4065	69	28	0.5	0.5	NUM
iajs-4065	69	29	0.7	0.7	NUM
iajs-4065	69	30	0.7315	0.7315	NUM
iajs-4065	69	31	1.0761	1.0761	NUM
iajs-4065	69	32	2.0581	2.0581	NUM
iajs-4065	69	33	4.6415	4.6415	NUM
iajs-4065	69	34	1.0080	1.0080	NUM
iajs-4065	69	35	1.8436	1.8436	NUM
iajs-4065	69	36	0.5411	0.5411	NUM
iajs-4065	69	37	0.8	0.8	NUM
iajs-4065	69	38	1.2	1.2	NUM
iajs-4065	69	39	0.6584	0.6584	NUM
iajs-4065	69	40	0.7097	0.7097	NUM
iajs-4065	69	41	0.9762	0.9762	NUM
iajs-4065	69	42	1.5820	1.5820	NUM
iajs-4065	69	43	0.1410	0.1410	NUM
iajs-4065	69	44	1.6329	1.6329	NUM
iajs-4065	69	45	0.2762	0.2762	NUM
iajs-4065	69	46	2	2	NUM
iajs-4065	69	47	0.8	0.8	NUM
iajs-4065	69	48	0.5	0.5	NUM
iajs-4065	69	49	0.8785	0.8785	NUM
iajs-4065	69	50	1.3159	1.3159	NUM
iajs-4065	69	51	2.5673	2.5673	NUM
iajs-4065	69	52	5.9767	5.9767	NUM
iajs-4065	69	53	0.4517	0.4517	NUM
iajs-4065	69	54	1.7008	1.7008	NUM
iajs-4065	69	55	0.5441	0.5441	NUM
iajs-4065	69	56	1.5	1.5	NUM
iajs-4065	69	57	1.2	1.2	NUM
iajs-4065	69	58	0.7519	0.7519	NUM
iajs-4065	69	59	0.7478	0.7478	NUM
iajs-4065	69	60	0.8902	0.8902	NUM
iajs-4065	69	61	1.2123	1.2123	NUM
iajs-4065	69	62	-0.8319	-0.8319	NUM
iajs-4065	69	63	1.3767	1.3767	NUM
iajs-4065	69	64	0.1824	0.1824	NUM
iajs-4065	69	65	3.5	3.5	NUM
iajs-4065	69	66	2.5	2.5	NUM
iajs-4065	69	67	1.5	1.5	NUM
iajs-4065	69	68	0.8046	0.8046	NUM
iajs-4065	69	69	0.7545	0.7545	NUM
iajs-4065	69	70	0.7870	0.7870	NUM
iajs-4065	69	71	0.8916	0.8916	NUM
iajs-4065	69	72	-1.4340	-1.4340	NOUN
iajs-4065	69	73	1.2007	1.2007	NUM
iajs-4065	69	74	0.1071	0.1071	NUM
iajs-4065	69	75	2	2	NUM
iajs-4065	69	76	2.5	2.5	NUM
iajs-4065	69	77	0.6993	0.6993	NUM
iajs-4065	69	78	0.5901	0.5901	NUM
iajs-4065	69	79	0.5666	0.5666	NUM
iajs-4065	69	80	0.6015	0.6015	NUM
iajs-4065	69	81	-1.2726	-1.2726	NOUN
iajs-4065	69	82	1.2500	1.2500	NUM
iajs-4065	69	83	0.1011	0.1011	NUM
iajs-4065	69	84	4	4	NUM
iajs-4065	69	85	.	.	PUNCT
iajs-4065	70	1	conclusion	conclusion	NOUN
iajs-4065	70	2	this	this	DET
iajs-4065	70	3	study	study	NOUN
iajs-4065	70	4	introduced	introduce	VERB
iajs-4065	70	5	the	the	DET
iajs-4065	70	6	alpha	alpha	PROPN
iajs-4065	70	7	power	power	NOUN
iajs-4065	70	8	rayleigh	rayleigh	PROPN
iajs-4065	70	9	weibull	weibull	PROPN
iajs-4065	70	10	distribution	distribution	NOUN
iajs-4065	70	11	(	(	PUNCT
iajs-4065	70	12	aprwd	aprwd	NOUN
iajs-4065	70	13	)	)	PUNCT
iajs-4065	70	14	,	,	PUNCT
iajs-4065	70	15	derived	derive	VERB
iajs-4065	70	16	from	from	ADP
iajs-4065	70	17	the	the	DET
iajs-4065	70	18	alpha	alpha	NOUN
iajs-4065	70	19	-	-	PUNCT
iajs-4065	70	20	power	power	NOUN
iajs-4065	70	21	family	family	NOUN
iajs-4065	70	22	.	.	PUNCT
iajs-4065	71	1	core	core	NOUN
iajs-4065	71	2	functions	function	NOUN
iajs-4065	71	3	including	include	VERB
iajs-4065	71	4	the	the	DET
iajs-4065	71	5	pdf	pdf	NOUN
iajs-4065	71	6	,	,	PUNCT
iajs-4065	71	7	cdf	cdf	PROPN
iajs-4065	71	8	,	,	PUNCT
iajs-4065	71	9	survival	survival	NOUN
iajs-4065	71	10	,	,	PUNCT
iajs-4065	71	11	and	and	CCONJ
iajs-4065	71	12	hazard	hazard	NOUN
iajs-4065	71	13	rate	rate	NOUN
iajs-4065	71	14	were	be	AUX
iajs-4065	71	15	rigorously	rigorously	ADV
iajs-4065	71	16	formulated	formulate	VERB
iajs-4065	71	17	.	.	PUNCT
iajs-4065	72	1	key	key	ADJ
iajs-4065	72	2	statistical	statistical	ADJ
iajs-4065	72	3	properties	property	NOUN
iajs-4065	72	4	such	such	ADJ
iajs-4065	72	5	as	as	ADP
iajs-4065	72	6	moments	moment	NOUN
iajs-4065	72	7	,	,	PUNCT
iajs-4065	72	8	moment	moment	NOUN
iajs-4065	72	9	-	-	PUNCT
iajs-4065	72	10	generating	generate	VERB
iajs-4065	72	11	function	function	NOUN
iajs-4065	72	12	,	,	PUNCT
iajs-4065	72	13	skewness	skewness	NOUN
iajs-4065	72	14	,	,	PUNCT
iajs-4065	72	15	and	and	CCONJ
iajs-4065	72	16	kurtosis	kurtosis	NOUN
iajs-4065	72	17	were	be	AUX
iajs-4065	72	18	also	also	ADV
iajs-4065	72	19	derived	derive	VERB
iajs-4065	72	20	using	use	VERB
iajs-4065	72	21	precise	precise	ADJ
iajs-4065	72	22	mathematical	mathematical	ADJ
iajs-4065	72	23	expressions	expression	NOUN
iajs-4065	72	24	.	.	PUNCT
iajs-4065	73	1	the	the	DET
iajs-4065	73	2	results	result	NOUN
iajs-4065	73	3	demonstrate	demonstrate	VERB
iajs-4065	73	4	the	the	DET
iajs-4065	73	5	flexibility	flexibility	NOUN
iajs-4065	73	6	and	and	CCONJ
iajs-4065	73	7	applicability	applicability	NOUN
iajs-4065	73	8	of	of	ADP
iajs-4065	73	9	aprwd	aprwd	NOUN
iajs-4065	73	10	in	in	ADP
iajs-4065	73	11	reliability	reliability	NOUN
iajs-4065	73	12	and	and	CCONJ
iajs-4065	73	13	survival	survival	NOUN
iajs-4065	73	14	analysis	analysis	NOUN
iajs-4065	73	15	..	..	PUNCT
iajs-4065	73	16	this	this	PRON
iajs-4065	73	17	highlights	highlight	VERB
iajs-4065	73	18	the	the	DET
iajs-4065	73	19	importance	importance	NOUN
iajs-4065	73	20	of	of	ADP
iajs-4065	73	21	the	the	DET
iajs-4065	73	22	new	new	ADJ
iajs-4065	73	23	distribution	distribution	NOUN
iajs-4065	73	24	in	in	ADP
iajs-4065	73	25	modeling	model	VERB
iajs-4065	73	26	failure	failure	NOUN
iajs-4065	73	27	and	and	CCONJ
iajs-4065	73	28	life	life	NOUN
iajs-4065	73	29	data	datum	NOUN
iajs-4065	73	30	and	and	CCONJ
iajs-4065	73	31	opens	open	VERB
iajs-4065	73	32	the	the	DET
iajs-4065	73	33	door	door	NOUN
iajs-4065	73	34	to	to	ADP
iajs-4065	73	35	its	its	PRON
iajs-4065	73	36	use	use	NOUN
iajs-4065	73	37	in	in	ADP
iajs-4065	73	38	diverse	diverse	ADJ
iajs-4065	73	39	applications	application	NOUN
iajs-4065	73	40	such	such	ADJ
iajs-4065	73	41	as	as	ADP
iajs-4065	73	42	engineering	engineering	NOUN
iajs-4065	73	43	,	,	PUNCT
iajs-4065	73	44	biological	biological	ADJ
iajs-4065	73	45	systems	system	NOUN
iajs-4065	73	46	,	,	PUNCT
iajs-4065	73	47	and	and	CCONJ
iajs-4065	73	48	financial	financial	ADJ
iajs-4065	73	49	data	datum	NOUN
iajs-4065	73	50	analysis	analysis	NOUN
iajs-4065	73	51	.	.	PUNCT
iajs-4065	74	1	it	it	PRON
iajs-4065	74	2	is	be	AUX
iajs-4065	74	3	recommended	recommend	VERB
iajs-4065	74	4	that	that	SCONJ
iajs-4065	74	5	additional	additional	ADJ
iajs-4065	74	6	properties	property	NOUN
iajs-4065	74	7	of	of	ADP
iajs-4065	74	8	the	the	DET
iajs-4065	74	9	distribution	distribution	NOUN
iajs-4065	74	10	,	,	PUNCT
iajs-4065	74	11	such	such	ADJ
iajs-4065	74	12	as	as	ADP
iajs-4065	74	13	its	its	PRON
iajs-4065	74	14	moments	moment	NOUN
iajs-4065	74	15	,	,	PUNCT
iajs-4065	74	16	in	in	ADP
iajs-4065	74	17	-	-	PUNCT
iajs-4065	74	18	depth	depth	NOUN
iajs-4065	74	19	hazard	hazard	NOUN
iajs-4065	74	20	functions	function	NOUN
iajs-4065	74	21	,	,	PUNCT
iajs-4065	74	22	and	and	CCONJ
iajs-4065	74	23	the	the	DET
iajs-4065	74	24	development	development	NOUN
iajs-4065	74	25	of	of	ADP
iajs-4065	74	26	versions	version	NOUN
iajs-4065	74	27	based	base	VERB
iajs-4065	74	28	on	on	ADP
iajs-4065	74	29	time	time	NOUN
iajs-4065	74	30	-	-	PUNCT
iajs-4065	74	31	varying	vary	VERB
iajs-4065	74	32	data	datum	NOUN
iajs-4065	74	33	or	or	CCONJ
iajs-4065	74	34	dual	dual	ADJ
iajs-4065	74	35	distributions	distribution	NOUN
iajs-4065	74	36	,	,	PUNCT
iajs-4065	74	37	be	be	AUX
iajs-4065	74	38	studied	study	VERB
iajs-4065	74	39	in	in	ADP
iajs-4065	74	40	the	the	DET
iajs-4065	74	41	future	future	NOUN
iajs-4065	74	42	.	.	PUNCT
iajs-4065	75	1	other	other	ADJ
iajs-4065	75	2	estimation	estimation	NOUN
iajs-4065	75	3	methods	method	NOUN
iajs-4065	75	4	such	such	ADJ
iajs-4065	75	5	as	as	ADP
iajs-4065	75	6	bayesian	bayesian	NOUN
iajs-4065	75	7	estimation	estimation	NOUN
iajs-4065	75	8	can	can	AUX
iajs-4065	75	9	also	also	ADV
iajs-4065	75	10	be	be	AUX
iajs-4065	75	11	studied	study	VERB
iajs-4065	75	12	to	to	PART
iajs-4065	75	13	improve	improve	VERB
iajs-4065	75	14	the	the	DET
iajs-4065	75	15	efficiency	efficiency	NOUN
iajs-4065	75	16	of	of	ADP
iajs-4065	75	17	parameters	parameter	NOUN
iajs-4065	75	18	in	in	ADP
iajs-4065	75	19	small	small	ADJ
iajs-4065	75	20	samples	sample	NOUN
iajs-4065	75	21	.	.	PUNCT
iajs-4065	76	1	aic	aic	PROPN
iajs-4065	76	2	,	,	PUNCT
iajs-4065	76	3	bic	bic	PROPN
iajs-4065	76	4	,	,	PUNCT
iajs-4065	76	5	k	k	PROPN
iajs-4065	76	6	-	-	PUNCT
iajs-4065	76	7	s	s	PART
iajs-4065	76	8	test	test	NOUN
iajs-4065	76	9	,	,	PUNCT
iajs-4065	76	10	anderson	anderson	PROPN
iajs-4065	76	11	-	-	PUNCT
iajs-4065	76	12	darling	darling	PROPN
iajs-4065	76	13	,	,	PUNCT
iajs-4065	76	14	cramér	cramér	ADJ
iajs-4065	76	15	–	–	PUNCT
iajs-4065	76	16	von	von	PROPN
iajs-4065	76	17	mises	mises	PROPN
iajs-4065	76	18	can	can	AUX
iajs-4065	76	19	be	be	AUX
iajs-4065	76	20	used	use	VERB
iajs-4065	76	21	to	to	PART
iajs-4065	76	22	compare	compare	VERB
iajs-4065	76	23	the	the	DET
iajs-4065	76	24	performance	performance	NOUN
iajs-4065	76	25	of	of	ADP
iajs-4065	76	26	the	the	DET
iajs-4065	76	27	aprwd	aprwd	NOUN
iajs-4065	76	28	distribution	distribution	NOUN
iajs-4065	76	29	with	with	ADP
iajs-4065	76	30	distributions	distribution	NOUN
iajs-4065	76	31	such	such	ADJ
iajs-4065	76	32	as	as	ADP
iajs-4065	76	33	weibull	weibull	PROPN
iajs-4065	76	34	,	,	PUNCT
iajs-4065	76	35	rayleigh	rayleigh	PROPN
iajs-4065	76	36	,	,	PUNCT
iajs-4065	76	37	gamma	gamma	NOUN
iajs-4065	76	38	,	,	PUNCT
iajs-4065	76	39	lognormal	lognormal	ADJ
iajs-4065	76	40	.	.	PUNCT
iajs-4065	77	1	acknowledgments	acknowledgment	NOUN
iajs-4065	77	2	the	the	DET
iajs-4065	77	3	authors	author	NOUN
iajs-4065	77	4	extends	extend	VERB
iajs-4065	77	5	his	his	PRON
iajs-4065	77	6	sincere	sincere	ADJ
iajs-4065	77	7	thanks	thank	NOUN
iajs-4065	77	8	to	to	ADP
iajs-4065	77	9	the	the	DET
iajs-4065	77	10	editor	editor	NOUN
iajs-4065	77	11	and	and	CCONJ
iajs-4065	77	12	members	member	NOUN
iajs-4065	77	13	of	of	ADP
iajs-4065	77	14	the	the	DET
iajs-4065	77	15	preparatory	preparatory	PROPN
iajs-4065	77	16	committee	committee	NOUN
iajs-4065	77	17	of	of	ADP
iajs-4065	77	18	the	the	DET
iajs-4065	77	19	ibn	ibn	PROPN
iajs-4065	77	20	al	al	PROPN
iajs-4065	77	21	-	-	PUNCT
iajs-4065	77	22	haitham	haitham	PROPN
iajs-4065	77	23	journal	journal	PROPN
iajs-4065	77	24	of	of	ADP
iajs-4065	77	25	pure	pure	ADJ
iajs-4065	77	26	and	and	CCONJ
iajs-4065	77	27	applied	applied	ADJ
iajs-4065	77	28	sciences	science	NOUN
iajs-4065	77	29	.	.	PUNCT
iajs-4065	78	1	conflict	conflict	NOUN
iajs-4065	78	2	of	of	ADP
iajs-4065	78	3	interest	interest	NOUN
iajs-4065	78	4	there	there	PRON
iajs-4065	78	5	are	be	VERB
iajs-4065	78	6	no	no	DET
iajs-4065	78	7	conflicts	conflict	NOUN
iajs-4065	78	8	of	of	ADP
iajs-4065	78	9	interest	interest	NOUN
iajs-4065	78	10	.	.	PUNCT
iajs-4065	79	1	funding	funding	NOUN
iajs-4065	79	2	there	there	PRON
iajs-4065	79	3	is	be	VERB
iajs-4065	79	4	no	no	DET
iajs-4065	79	5	funding	funding	NOUN
iajs-4065	79	6	for	for	ADP
iajs-4065	79	7	the	the	DET
iajs-4065	79	8	article	article	NOUN
iajs-4065	79	9	references	reference	VERB
iajs-4065	79	10	1	1	NUM
iajs-4065	79	11	.	.	PUNCT
iajs-4065	80	1	lee	lee	PROPN
iajs-4065	80	2	c	c	PROPN
iajs-4065	80	3	,	,	PUNCT
iajs-4065	80	4	famoye	famoye	PROPN
iajs-4065	80	5	f	f	X
iajs-4065	80	6	,	,	PUNCT
iajs-4065	80	7	alzaatreh	alzaatreh	PROPN
iajs-4065	80	8	ay	ay	PROPN
iajs-4065	80	9	.	.	PUNCT
iajs-4065	80	10	methods	method	NOUN
iajs-4065	80	11	for	for	ADP
iajs-4065	80	12	generating	generate	VERB
iajs-4065	80	13	families	family	NOUN
iajs-4065	80	14	of	of	ADP
iajs-4065	80	15	univariate	univariate	ADJ
iajs-4065	80	16	continuous	continuous	ADJ
iajs-4065	80	17	distributions	distribution	NOUN
iajs-4065	80	18	in	in	ADP
iajs-4065	80	19	the	the	DET
iajs-4065	80	20	recent	recent	ADJ
iajs-4065	80	21	decades	decade	NOUN
iajs-4065	80	22	.	.	PUNCT
iajs-4065	81	1	wiley	wiley	PROPN
iajs-4065	81	2	interdiscip	interdiscip	NOUN
iajs-4065	81	3	rev	rev	VERB
iajs-4065	81	4	comput	comput	PROPN
iajs-4065	81	5	stat	stat	PROPN
iajs-4065	81	6	.	.	PUNCT
iajs-4065	82	1	2013;5(3):219–38	2013;5(3):219–38	NUM
iajs-4065	82	2	.	.	PUNCT
iajs-4065	83	1	https://doi.org/10.1002/wics.1255	https://doi.org/10.1002/wics.1255	ADJ
iajs-4065	83	2	https://doi.org/10.1002/wics.1255	https://doi.org/10.1002/wics.1255	ADJ
iajs-4065	83	3	ihjpas	ihjpa	NOUN
iajs-4065	83	4	.	.	PUNCT
iajs-4065	84	1	2025,38(4	2025,38(4	NOUN
iajs-4065	84	2	)	)	PUNCT
iajs-4065	85	1	361	361	NUM
iajs-4065	85	2	2	2	NUM
iajs-4065	85	3	.	.	X
iajs-4065	85	4	mahdavi	mahdavi	PROPN
iajs-4065	85	5	a	a	DET
iajs-4065	85	6	,	,	PUNCT
iajs-4065	85	7	kundu	kundu	PROPN
iajs-4065	85	8	d.	d.	PROPN
iajs-4065	85	9	a	a	DET
iajs-4065	85	10	new	new	ADJ
iajs-4065	85	11	method	method	NOUN
iajs-4065	85	12	for	for	ADP
iajs-4065	85	13	generating	generate	VERB
iajs-4065	85	14	distributions	distribution	NOUN
iajs-4065	85	15	with	with	ADP
iajs-4065	85	16	an	an	DET
iajs-4065	85	17	application	application	NOUN
iajs-4065	85	18	to	to	ADP
iajs-4065	85	19	exponential	exponential	ADJ
iajs-4065	85	20	distribution	distribution	NOUN
iajs-4065	85	21	.	.	PUNCT
iajs-4065	86	1	commun	commun	PROPN
iajs-4065	86	2	stat	stat	PROPN
iajs-4065	86	3	theory	theory	NOUN
iajs-4065	86	4	methods	method	NOUN
iajs-4065	86	5	.	.	PUNCT
iajs-4065	87	1	2017;46(13):6543–57	2017;46(13):6543–57	NUM
iajs-4065	87	2	.	.	PUNCT
iajs-4065	87	3	https://doi.org/10.1080/03610926.2015.1130839	https://doi.org/10.1080/03610926.2015.1130839	PROPN
iajs-4065	88	1	3	3	X
iajs-4065	88	2	.	.	PUNCT
iajs-4065	88	3	nassar	nassar	PROPN
iajs-4065	88	4	m	m	PROPN
iajs-4065	88	5	,	,	PUNCT
iajs-4065	88	6	alzaatreh	alzaatreh	VERB
iajs-4065	88	7	a	a	DET
iajs-4065	88	8	,	,	PUNCT
iajs-4065	88	9	mead	mead	NOUN
iajs-4065	88	10	m	m	NOUN
iajs-4065	88	11	,	,	PUNCT
iajs-4065	88	12	abo	abo	NOUN
iajs-4065	88	13	-	-	PUNCT
iajs-4065	88	14	kasem	kasem	NOUN
iajs-4065	88	15	o.	o.	PROPN
iajs-4065	88	16	alpha	alpha	PROPN
iajs-4065	88	17	power	power	PROPN
iajs-4065	88	18	weibull	weibull	PROPN
iajs-4065	88	19	distribution	distribution	NOUN
iajs-4065	88	20	:	:	PUNCT
iajs-4065	88	21	properties	property	NOUN
iajs-4065	88	22	and	and	CCONJ
iajs-4065	88	23	applications	application	NOUN
iajs-4065	88	24	.	.	PUNCT
iajs-4065	89	1	commun	commun	PROPN
iajs-4065	89	2	stat	stat	PROPN
iajs-4065	89	3	methods	method	NOUN
iajs-4065	89	4	.	.	PUNCT
iajs-4065	90	1	2017;46(20):10236–52.https://doi.org/	2017;46(20):10236–52.https://doi.org/	NUM
iajs-4065	90	2	10.1080/03610926.2016.1231816	10.1080/03610926.2016.1231816	NUM
iajs-4065	90	3	4	4	NUM
iajs-4065	90	4	.	.	NOUN
iajs-4065	90	5	elbatal	elbatal	PROPN
iajs-4065	90	6	i	i	PROPN
iajs-4065	90	7	,	,	PUNCT
iajs-4065	90	8	ahmad	ahmad	PROPN
iajs-4065	90	9	z	z	PROPN
iajs-4065	90	10	,	,	PUNCT
iajs-4065	90	11	elgarhy	elgarhy	PROPN
iajs-4065	90	12	m	m	PROPN
iajs-4065	90	13	,	,	PUNCT
iajs-4065	90	14	almarashi	almarashi	PROPN
iajs-4065	90	15	am	be	AUX
iajs-4065	90	16	.	.	PUNCT
iajs-4065	91	1	a	a	DET
iajs-4065	91	2	new	new	ADJ
iajs-4065	91	3	alpha	alpha	NOUN
iajs-4065	91	4	power	power	NOUN
iajs-4065	91	5	transformed	transform	VERB
iajs-4065	91	6	family	family	NOUN
iajs-4065	91	7	of	of	ADP
iajs-4065	91	8	distributions	distribution	NOUN
iajs-4065	91	9	:	:	PUNCT
iajs-4065	91	10	properties	property	NOUN
iajs-4065	91	11	and	and	CCONJ
iajs-4065	91	12	applications	application	NOUN
iajs-4065	91	13	to	to	ADP
iajs-4065	91	14	the	the	DET
iajs-4065	91	15	weibull	weibull	PROPN
iajs-4065	91	16	model	model	PROPN
iajs-4065	91	17	.	.	PUNCT
iajs-4065	92	1	j	j	PROPN
iajs-4065	92	2	nonlinear	nonlinear	PROPN
iajs-4065	92	3	sci	sci	PROPN
iajs-4065	92	4	appl	appl	PROPN
iajs-4065	92	5	.	.	PUNCT
iajs-4065	93	1	2018;12(01):1–20	2018;12(01):1–20	NUM
iajs-4065	93	2	.	.	PUNCT
iajs-4065	94	1	https://doi.org/10.22436/jnsa.012.01.01	https://doi.org/10.22436/jnsa.012.01.01	NUM
iajs-4065	94	2	.	.	NOUN
iajs-4065	94	3	5	5	NUM
iajs-4065	94	4	.	.	X
iajs-4065	94	5	dey	dey	PROPN
iajs-4065	94	6	s	s	PROPN
iajs-4065	94	7	,	,	PUNCT
iajs-4065	94	8	ghosh	ghosh	PROPN
iajs-4065	94	9	i	i	PROPN
iajs-4065	94	10	,	,	PUNCT
iajs-4065	94	11	kumar	kumar	PROPN
iajs-4065	94	12	d.	d.	PROPN
iajs-4065	94	13	alpha	alpha	PROPN
iajs-4065	94	14	-	-	PUNCT
iajs-4065	94	15	power	power	NOUN
iajs-4065	94	16	transformed	transform	VERB
iajs-4065	94	17	lindley	lindley	NOUN
iajs-4065	94	18	distribution	distribution	NOUN
iajs-4065	94	19	:	:	PUNCT
iajs-4065	94	20	properties	property	NOUN
iajs-4065	94	21	and	and	CCONJ
iajs-4065	94	22	associated	associated	ADJ
iajs-4065	94	23	inference	inference	NOUN
iajs-4065	94	24	with	with	ADP
iajs-4065	94	25	application	application	NOUN
iajs-4065	94	26	to	to	ADP
iajs-4065	94	27	earthquake	earthquake	NOUN
iajs-4065	94	28	data	datum	NOUN
iajs-4065	94	29	.	.	PUNCT
iajs-4065	95	1	ann	ann	PROPN
iajs-4065	95	2	data	data	PROPN
iajs-4065	95	3	sci	sci	PROPN
iajs-4065	95	4	.	.	PUNCT
iajs-4065	95	5	2019;6:623–50	2019;6:623–50	PROPN
iajs-4065	95	6	.	.	PUNCT
iajs-4065	95	7	https://doi.org/10.1007/s40745-018-0163-2	https://doi.org/10.1007/s40745-018-0163-2	PROPN
iajs-4065	96	1	6	6	NUM
iajs-4065	96	2	.	.	PUNCT
iajs-4065	96	3	ihtisham	ihtisham	PROPN
iajs-4065	96	4	s	s	PROPN
iajs-4065	96	5	,	,	PUNCT
iajs-4065	96	6	khalil	khalil	PROPN
iajs-4065	96	7	a	a	PROPN
iajs-4065	96	8	,	,	PUNCT
iajs-4065	96	9	manzoor	manzoor	PROPN
iajs-4065	96	10	s	s	PROPN
iajs-4065	96	11	,	,	PUNCT
iajs-4065	96	12	khan	khan	PROPN
iajs-4065	96	13	sa	sa	PROPN
iajs-4065	96	14	,	,	PUNCT
iajs-4065	96	15	ali	ali	PROPN
iajs-4065	96	16	a.	a.	PROPN
iajs-4065	96	17	alpha	alpha	PROPN
iajs-4065	96	18	-	-	PUNCT
iajs-4065	96	19	power	power	NOUN
iajs-4065	96	20	pareto	pareto	ADJ
iajs-4065	96	21	distribution	distribution	NOUN
iajs-4065	96	22	:	:	PUNCT
iajs-4065	96	23	its	its	PRON
iajs-4065	96	24	properties	property	NOUN
iajs-4065	96	25	and	and	CCONJ
iajs-4065	96	26	applications	application	NOUN
iajs-4065	96	27	.	.	PUNCT
iajs-4065	97	1	plos	plos	PROPN
iajs-4065	97	2	one	one	NUM
iajs-4065	97	3	.	.	PUNCT
iajs-4065	98	1	2019;14(6):e0218027	2019;14(6):e0218027	NUM
iajs-4065	98	2	.	.	PUNCT
iajs-4065	99	1	https://doi.org/10.1371/journal.pone.0218027	https://doi.org/10.1371/journal.pone.0218027	PROPN
iajs-4065	99	2	7	7	NUM
iajs-4065	99	3	.	.	PUNCT
iajs-4065	99	4	eghwerido	eghwerido	PROPN
iajs-4065	99	5	jt	jt	PROPN
iajs-4065	99	6	.	.	PUNCT
iajs-4065	100	1	the	the	DET
iajs-4065	100	2	alpha	alpha	PROPN
iajs-4065	100	3	power	power	NOUN
iajs-4065	100	4	teissier	teissier	NOUN
iajs-4065	100	5	distribution	distribution	NOUN
iajs-4065	100	6	and	and	CCONJ
iajs-4065	100	7	its	its	PRON
iajs-4065	100	8	applications	application	NOUN
iajs-4065	100	9	.	.	PUNCT
iajs-4065	101	1	afrika	afrika	PROPN
iajs-4065	101	2	stat	stat	PROPN
iajs-4065	101	3	.	.	PUNCT
iajs-4065	102	1	2021;16(2):2733–47	2021;16(2):2733–47	NOUN
iajs-4065	102	2	.	.	PUNCT
iajs-4065	103	1	https://www.ajol.info/index.php/afst/article/view/283087	https://www.ajol.info/index.php/afst/article/view/283087	PROPN
iajs-4065	103	2	.	.	NOUN
iajs-4065	104	1	8	8	X
iajs-4065	104	2	.	.	X
iajs-4065	104	3	basheer	basheer	PROPN
iajs-4065	104	4	am	am	PROPN
iajs-4065	104	5	.	.	PUNCT
iajs-4065	105	1	alpha	alpha	PROPN
iajs-4065	105	2	power	power	PROPN
iajs-4065	105	3	inverse	inverse	NOUN
iajs-4065	105	4	weibull	weibull	NOUN
iajs-4065	105	5	distribution	distribution	NOUN
iajs-4065	105	6	with	with	ADP
iajs-4065	105	7	reliability	reliability	NOUN
iajs-4065	105	8	application	application	NOUN
iajs-4065	105	9	.	.	PUNCT
iajs-4065	106	1	j	j	PROPN
iajs-4065	106	2	taibah	taibah	PROPN
iajs-4065	106	3	univ	univ	PROPN
iajs-4065	106	4	sci	sci	PROPN
iajs-4065	106	5	.	.	PUNCT
iajs-4065	107	1	2019;13(1):423–32	2019;13(1):423–32	NUM
iajs-4065	107	2	.	.	PUNCT
iajs-4065	108	1	https://doi.org/10.1080/16583655.2019.1588488	https://doi.org/10.1080/16583655.2019.1588488	PROPN
iajs-4065	108	2	.	.	PUNCT
iajs-4065	109	1	9	9	X
iajs-4065	109	2	.	.	X
iajs-4065	110	1	saleh	saleh	PROPN
iajs-4065	110	2	hm	hm	PROPN
iajs-4065	110	3	,	,	PUNCT
iajs-4065	110	4	mohammed	mohammed	PROPN
iajs-4065	110	5	at	at	ADP
iajs-4065	110	6	.	.	PUNCT
iajs-4065	111	1	alpha	alpha	PROPN
iajs-4065	111	2	power	power	PROPN
iajs-4065	111	3	transformation	transformation	NOUN
iajs-4065	111	4	family	family	NOUN
iajs-4065	111	5	distributions	distribution	NOUN
iajs-4065	111	6	:	:	PUNCT
iajs-4065	111	7	properties	property	NOUN
iajs-4065	111	8	and	and	CCONJ
iajs-4065	111	9	application	application	NOUN
iajs-4065	111	10	to	to	ADP
iajs-4065	111	11	the	the	DET
iajs-4065	111	12	exponential	exponential	ADJ
iajs-4065	111	13	weibull	weibull	PROPN
iajs-4065	111	14	model	model	NOUN
iajs-4065	111	15	.	.	PUNCT
iajs-4065	112	1	in	in	ADP
iajs-4065	112	2	:	:	PUNCT
iajs-4065	112	3	aip	aip	PROPN
iajs-4065	112	4	conference	conference	NOUN
iajs-4065	112	5	proceedings	proceeding	NOUN
iajs-4065	112	6	.	.	PUNCT
iajs-4065	113	1	aip	aip	PROPN
iajs-4065	113	2	publishing	publishing	PROPN
iajs-4065	113	3	;	;	PUNCT
iajs-4065	113	4	2024	2024	NUM
iajs-4065	113	5	.	.	PUNCT
iajs-4065	114	1	https://doi.org/10.1063/5.0236939	https://doi.org/10.1063/5.0236939	PROPN
iajs-4065	114	2	.	.	PUNCT
iajs-4065	115	1	10	10	NUM
iajs-4065	115	2	.	.	PUNCT
iajs-4065	115	3	ali	ali	PROPN
iajs-4065	115	4	m	m	PROPN
iajs-4065	115	5	,	,	PUNCT
iajs-4065	115	6	khalil	khalil	PROPN
iajs-4065	115	7	a	a	PROPN
iajs-4065	115	8	,	,	PUNCT
iajs-4065	115	9	ijaz	ijaz	PROPN
iajs-4065	115	10	m	m	PROPN
iajs-4065	115	11	,	,	PUNCT
iajs-4065	115	12	saeed	saeed	PROPN
iajs-4065	115	13	n.	n.	PROPN
iajs-4065	115	14	alpha	alpha	PROPN
iajs-4065	115	15	-	-	PUNCT
iajs-4065	115	16	power	power	NOUN
iajs-4065	115	17	exponentiated	exponentiate	VERB
iajs-4065	115	18	inverse	inverse	NOUN
iajs-4065	115	19	rayleigh	rayleigh	NOUN
iajs-4065	115	20	distribution	distribution	NOUN
iajs-4065	115	21	and	and	CCONJ
iajs-4065	115	22	its	its	PRON
iajs-4065	115	23	applications	application	NOUN
iajs-4065	115	24	to	to	ADP
iajs-4065	115	25	real	real	ADJ
iajs-4065	115	26	and	and	CCONJ
iajs-4065	115	27	simulated	simulated	ADJ
iajs-4065	115	28	data	datum	NOUN
iajs-4065	115	29	.	.	PUNCT
iajs-4065	116	1	plos	plos	PROPN
iajs-4065	116	2	one	one	NUM
iajs-4065	117	1	[	[	X
iajs-4065	117	2	internet	internet	NOUN
iajs-4065	117	3	]	]	PUNCT
iajs-4065	117	4	.	.	PUNCT
iajs-4065	118	1	2021;16(1):1–17	2021;16(1):1–17	NUM
iajs-4065	118	2	.	.	PUNCT
iajs-4065	119	1	http://dx.doi.org/10.1371/journal.pone.0245253	http://dx.doi.org/10.1371/journal.pone.0245253	PROPN
iajs-4065	119	2	11	11	NUM
iajs-4065	119	3	.	.	PUNCT
iajs-4065	120	1	a	a	DET
iajs-4065	120	2	el	el	PROPN
iajs-4065	120	3	-	-	PROPN
iajs-4065	120	4	helbawy	helbawy	PROPN
iajs-4065	120	5	a	a	PRON
iajs-4065	120	6	,	,	PUNCT
iajs-4065	120	7	a	a	DET
iajs-4065	120	8	hegazy	hegazy	ADJ
iajs-4065	120	9	m	m	NOUN
iajs-4065	120	10	,	,	PUNCT
iajs-4065	120	11	r	r	PROPN
iajs-4065	120	12	al	al	PROPN
iajs-4065	120	13	-	-	PUNCT
iajs-4065	120	14	dayian	dayian	PROPN
iajs-4065	120	15	g.	g.	PROPN
iajs-4065	120	16	a	a	DET
iajs-4065	120	17	new	new	ADJ
iajs-4065	120	18	family	family	NOUN
iajs-4065	120	19	of	of	ADP
iajs-4065	120	20	discrete	discrete	ADJ
iajs-4065	120	21	alpha	alpha	NOUN
iajs-4065	120	22	power	power	NOUN
iajs-4065	120	23	distributions	distribution	NOUN
iajs-4065	120	24	.	.	PUNCT
iajs-4065	121	1	scient	scient	PROPN
iajs-4065	121	2	j	j	PROPN
iajs-4065	121	3	comm	comm	NOUN
iajs-4065	121	4	sect	sect	PROPN
iajs-4065	121	5	al	al	PROPN
iajs-4065	121	6	-	-	PUNCT
iajs-4065	121	7	azhar	azhar	PROPN
iajs-4065	121	8	univ	univ	PROPN
iajs-4065	121	9	.	.	PROPN
iajs-4065	121	10	2022	2022	NUM
iajs-4065	121	11	;	;	PUNCT
iajs-4065	121	12	28(1	28(1	NOUN
iajs-4065	121	13	):	):	PUNCT
iajs-4065	121	14	851–09	851–09	PROPN
iajs-4065	121	15	.	.	PUNCT
iajs-4065	122	1	https://doi.org/10.21608/jsfc.2022.299825	https://doi.org/10.21608/jsfc.2022.299825	PROPN
iajs-4065	122	2	12	12	NUM
iajs-4065	122	3	.	.	PUNCT
iajs-4065	123	1	kargbo	kargbo	PROPN
iajs-4065	123	2	m	m	PROPN
iajs-4065	123	3	,	,	PUNCT
iajs-4065	123	4	waititu	waititu	PROPN
iajs-4065	123	5	a	a	PRON
iajs-4065	123	6	,	,	PUNCT
iajs-4065	123	7	wanjoya	wanjoya	VERB
iajs-4065	123	8	a.	a.	NOUN
iajs-4065	123	9	the	the	DET
iajs-4065	123	10	generalized	generalize	VERB
iajs-4065	123	11	alpha	alpha	NOUN
iajs-4065	123	12	power	power	NOUN
iajs-4065	123	13	exponentiated	exponentiate	VERB
iajs-4065	123	14	inverse	inverse	ADJ
iajs-4065	123	15	exponential	exponential	ADJ
iajs-4065	123	16	distribution	distribution	NOUN
iajs-4065	123	17	and	and	CCONJ
iajs-4065	123	18	it	it	PRON
iajs-4065	123	19	’s	’	VERB
iajs-4065	123	20	application	application	NOUN
iajs-4065	123	21	to	to	ADP
iajs-4065	123	22	real	real	ADJ
iajs-4065	123	23	data	datum	NOUN
iajs-4065	123	24	.	.	PUNCT
iajs-4065	124	1	authorea	authorea	PROPN
iajs-4065	124	2	prepr	prepr	PROPN
iajs-4065	124	3	.	.	PUNCT
iajs-4065	125	1	2023	2023	NUM
iajs-4065	125	2	;	;	PUNCT
iajs-4065	125	3	https://doi.org/10.22541/au.168963153.36742019/v1	https://doi.org/10.22541/au.168963153.36742019/v1	PROPN
iajs-4065	125	4	13	13	NUM
iajs-4065	125	5	.	.	PUNCT
iajs-4065	125	6	ijaz	ijaz	PROPN
iajs-4065	125	7	m	m	PROPN
iajs-4065	125	8	,	,	PUNCT
iajs-4065	125	9	asim	asim	PROPN
iajs-4065	125	10	sm	sm	PROPN
iajs-4065	125	11	,	,	PUNCT
iajs-4065	125	12	alamgir	alamgir	PROPN
iajs-4065	125	13	,	,	PUNCT
iajs-4065	125	14	farooq	farooq	PROPN
iajs-4065	125	15	m	m	PROPN
iajs-4065	125	16	,	,	PUNCT
iajs-4065	125	17	khan	khan	PROPN
iajs-4065	125	18	sa	sa	PROPN
iajs-4065	125	19	,	,	PUNCT
iajs-4065	125	20	manzoor	manzoor	PROPN
iajs-4065	125	21	s.	s.	PROPN
iajs-4065	125	22	a	a	DET
iajs-4065	125	23	gull	gull	NOUN
iajs-4065	125	24	alpha	alpha	NOUN
iajs-4065	125	25	power	power	NOUN
iajs-4065	125	26	weibull	weibull	NOUN
iajs-4065	125	27	distribution	distribution	NOUN
iajs-4065	125	28	with	with	ADP
iajs-4065	125	29	applications	application	NOUN
iajs-4065	125	30	to	to	ADP
iajs-4065	125	31	real	real	ADJ
iajs-4065	125	32	and	and	CCONJ
iajs-4065	125	33	simulated	simulated	ADJ
iajs-4065	125	34	data	datum	NOUN
iajs-4065	125	35	.	.	PUNCT
iajs-4065	126	1	plos	plos	PROPN
iajs-4065	126	2	one	one	NUM
iajs-4065	126	3	.	.	PUNCT
iajs-4065	127	1	2020;15(6):1–19	2020;15(6):1–19	NOUN
iajs-4065	127	2	.	.	PUNCT
iajs-4065	128	1	http://dx.doi.org/10.1371/journal.pone.0233080	http://dx.doi.org/10.1371/journal.pone.0233080	PROPN
iajs-4065	128	2	.	.	PUNCT
iajs-4065	129	1	14	14	NUM
iajs-4065	129	2	.	.	PUNCT
iajs-4065	130	1	kilai	kilai	PROPN
iajs-4065	130	2	m	m	PROPN
iajs-4065	130	3	,	,	PUNCT
iajs-4065	130	4	waititu	waititu	PROPN
iajs-4065	130	5	ga	ga	PROPN
iajs-4065	130	6	,	,	PUNCT
iajs-4065	130	7	kibira	kibira	PROPN
iajs-4065	130	8	wa	wa	PROPN
iajs-4065	130	9	,	,	PUNCT
iajs-4065	130	10	alshanbari	alshanbari	PROPN
iajs-4065	130	11	hm	hm	PROPN
iajs-4065	130	12	,	,	PUNCT
iajs-4065	130	13	el	el	PROPN
iajs-4065	130	14	-	-	PUNCT
iajs-4065	130	15	morshedy	morshedy	PROPN
iajs-4065	130	16	m.	m.	NOUN
iajs-4065	130	17	a	a	DET
iajs-4065	130	18	new	new	ADJ
iajs-4065	130	19	generalization	generalization	NOUN
iajs-4065	130	20	of	of	ADP
iajs-4065	130	21	gull	gull	NOUN
iajs-4065	130	22	alpha	alpha	NOUN
iajs-4065	130	23	power	power	NOUN
iajs-4065	130	24	family	family	NOUN
iajs-4065	130	25	of	of	ADP
iajs-4065	130	26	distributions	distribution	NOUN
iajs-4065	130	27	with	with	ADP
iajs-4065	130	28	application	application	NOUN
iajs-4065	130	29	to	to	ADP
iajs-4065	130	30	modeling	model	VERB
iajs-4065	130	31	covid-19	covid-19	PROPN
iajs-4065	130	32	mortality	mortality	NOUN
iajs-4065	130	33	rates	rate	NOUN
iajs-4065	130	34	.	.	PUNCT
iajs-4065	131	1	results	result	VERB
iajs-4065	131	2	phys	phy	NOUN
iajs-4065	131	3	.	.	PUNCT
iajs-4065	132	1	2022	2022	NUM
iajs-4065	132	2	;	;	PUNCT
iajs-4065	132	3	36:105339	36:105339	NUM
iajs-4065	132	4	.	.	PUNCT
iajs-4065	133	1	https://doi.org/10.1016/j.rinp.2022.105339	https://doi.org/10.1016/j.rinp.2022.105339	PROPN
iajs-4065	133	2	15	15	NUM
iajs-4065	133	3	.	.	PUNCT
iajs-4065	134	1	ahmad	ahmad	PROPN
iajs-4065	134	2	z	z	PROPN
iajs-4065	134	3	,	,	PUNCT
iajs-4065	134	4	elgarhy	elgarhy	PROPN
iajs-4065	134	5	m	m	PROPN
iajs-4065	134	6	,	,	PUNCT
iajs-4065	134	7	abbas	abbas	PROPN
iajs-4065	134	8	n.	n.	PROPN
iajs-4065	134	9	a	a	DET
iajs-4065	134	10	new	new	ADJ
iajs-4065	134	11	extended	extended	ADJ
iajs-4065	134	12	alpha	alpha	NOUN
iajs-4065	134	13	power	power	NOUN
iajs-4065	134	14	transformed	transform	VERB
iajs-4065	134	15	family	family	NOUN
iajs-4065	134	16	of	of	ADP
iajs-4065	134	17	distributions	distribution	NOUN
iajs-4065	134	18	:	:	PUNCT
iajs-4065	134	19	properties	property	NOUN
iajs-4065	134	20	and	and	CCONJ
iajs-4065	134	21	applications	application	NOUN
iajs-4065	134	22	.	.	PUNCT
iajs-4065	135	1	j	j	PROPN
iajs-4065	135	2	stat	stat	PROPN
iajs-4065	135	3	model	model	PROPN
iajs-4065	135	4	theory	theory	PROPN
iajs-4065	135	5	appl	appl	PROPN
iajs-4065	135	6	.	.	PROPN
iajs-4065	136	1	2020;1(1):13–27	2020;1(1):13–27	NUM
iajs-4065	136	2	.	.	PUNCT
iajs-4065	137	1	https://doi.org/10.1016/j.rinp.2022.105339	https://doi.org/10.1016/j.rinp.2022.105339	PROPN
iajs-4065	137	2	16	16	NUM
iajs-4065	137	3	.	.	PUNCT
iajs-4065	138	1	elbatal	elbatal	PROPN
iajs-4065	138	2	i	i	PRON
iajs-4065	138	3	,	,	PUNCT
iajs-4065	138	4	cakmakyapan	cakmakyapan	VERB
iajs-4065	138	5	s	s	PROPN
iajs-4065	138	6	,	,	PUNCT
iajs-4065	138	7	ozel	ozel	ADJ
iajs-4065	138	8	g.	g.	PROPN
iajs-4065	138	9	alpha	alpha	PROPN
iajs-4065	138	10	power	power	PROPN
iajs-4065	138	11	odd	odd	ADJ
iajs-4065	138	12	generalized	generalized	ADJ
iajs-4065	138	13	exponential	exponential	ADJ
iajs-4065	138	14	family	family	NOUN
iajs-4065	138	15	of	of	ADP
iajs-4065	138	16	distributions	distribution	NOUN
iajs-4065	138	17	:	:	PUNCT
iajs-4065	139	1	model	model	NOUN
iajs-4065	139	2	,	,	PUNCT
iajs-4065	139	3	properties	property	NOUN
iajs-4065	139	4	and	and	CCONJ
iajs-4065	139	5	applications	application	NOUN
iajs-4065	139	6	.	.	PUNCT
iajs-4065	140	1	gazi	gazi	PROPN
iajs-4065	140	2	univ	univ	PROPN
iajs-4065	140	3	j	j	PROPN
iajs-4065	140	4	sci	sci	PROPN
iajs-4065	140	5	.	.	PUNCT
iajs-4065	140	6	2022;35(3):1171–88	2022;35(3):1171–88	NUM
iajs-4065	140	7	.	.	PUNCT
iajs-4065	141	1	https://doi.org/10.35378/gujs.868555	https://doi.org/10.35378/gujs.868555	NOUN
iajs-4065	141	2	.	.	PUNCT
iajs-4065	142	1	17	17	NUM
iajs-4065	142	2	.	.	PUNCT
iajs-4065	143	1	elsherpieny	elsherpieny	PROPN
iajs-4065	143	2	ea	ea	PROPN
iajs-4065	143	3	,	,	PUNCT
iajs-4065	143	4	almetwally	almetwally	ADV
iajs-4065	143	5	em	em	PRON
iajs-4065	143	6	.	.	PUNCT
iajs-4065	144	1	the	the	DET
iajs-4065	144	2	exponentiated	exponentiated	ADJ
iajs-4065	144	3	generalized	generalize	VERB
iajs-4065	144	4	alpha	alpha	NOUN
iajs-4065	144	5	power	power	NOUN
iajs-4065	144	6	family	family	NOUN
iajs-4065	144	7	of	of	ADP
iajs-4065	144	8	distribution	distribution	NOUN
iajs-4065	144	9	:	:	PUNCT
iajs-4065	144	10	properties	property	NOUN
iajs-4065	144	11	and	and	CCONJ
iajs-4065	144	12	applications	application	NOUN
iajs-4065	144	13	.	.	PUNCT
iajs-4065	145	1	pakistan	pakistan	PROPN
iajs-4065	145	2	j	j	PROPN
iajs-4065	145	3	stat	stat	PROPN
iajs-4065	145	4	oper	oper	PROPN
iajs-4065	145	5	res	re	NOUN
iajs-4065	145	6	.	.	PUNCT
iajs-4065	146	1	2022;349–67	2022;349–67	NUM
iajs-4065	146	2	.	.	PUNCT
iajs-4065	147	1	https://doi.org/10.18187/pjsor.v18i2.3515	https://doi.org/10.18187/pjsor.v18i2.3515	X
iajs-4065	147	2	.	.	PUNCT
iajs-4065	148	1	18	18	NUM
iajs-4065	148	2	.	.	X
iajs-4065	148	3	gupta	gupta	PROPN
iajs-4065	148	4	rd	rd	PROPN
iajs-4065	148	5	,	,	PUNCT
iajs-4065	148	6	kundu	kundu	PROPN
iajs-4065	148	7	d.	d.	PROPN
iajs-4065	148	8	exponentiated	exponentiate	VERB
iajs-4065	148	9	exponential	exponential	ADJ
iajs-4065	148	10	family	family	NOUN
iajs-4065	148	11	:	:	PUNCT
iajs-4065	148	12	an	an	DET
iajs-4065	148	13	alternative	alternative	NOUN
iajs-4065	148	14	to	to	ADP
iajs-4065	148	15	gamma	gamma	NOUN
iajs-4065	148	16	and	and	CCONJ
iajs-4065	148	17	weibull	weibull	PROPN
iajs-4065	148	18	distributions	distribution	NOUN
iajs-4065	148	19	.	.	PUNCT
iajs-4065	149	1	biometrical	biometrical	ADJ
iajs-4065	149	2	j	j	PROPN
iajs-4065	149	3	j	j	PROPN
iajs-4065	149	4	math	math	PROPN
iajs-4065	149	5	methods	methods	PROPN
iajs-4065	149	6	biosci	biosci	PROPN
iajs-4065	149	7	.	.	PUNCT
iajs-4065	150	1	2001;43(1):117–30	2001;43(1):117–30	NUM
iajs-4065	150	2	.	.	PUNCT
iajs-4065	151	1	https://doi.org/10.1002/1521-4036(200102)43:1%3c117::aid-bimj117%3e3.0.co;2-r	https://doi.org/10.1002/1521-4036(200102)43:1%3c117::aid-bimj117%3e3.0.co;2-r	NOUN
iajs-4065	151	2	.	.	PUNCT
iajs-4065	152	1	19	19	NUM
iajs-4065	152	2	.	.	PUNCT
iajs-4065	153	1	ahmad	ahmad	PROPN
iajs-4065	153	2	z	z	PROPN
iajs-4065	153	3	,	,	PUNCT
iajs-4065	153	4	ilyas	ilyas	PROPN
iajs-4065	153	5	m	m	PROPN
iajs-4065	153	6	,	,	PUNCT
iajs-4065	153	7	hamedani	hamedani	PROPN
iajs-4065	153	8	gg	gg	PROPN
iajs-4065	153	9	.	.	PUNCT
iajs-4065	154	1	the	the	DET
iajs-4065	154	2	extended	extended	ADJ
iajs-4065	154	3	alpha	alpha	NOUN
iajs-4065	154	4	power	power	NOUN
iajs-4065	154	5	transformed	transform	VERB
iajs-4065	154	6	family	family	NOUN
iajs-4065	154	7	of	of	ADP
iajs-4065	154	8	distributions	distribution	NOUN
iajs-4065	154	9	:	:	PUNCT
iajs-4065	154	10	properties	property	NOUN
iajs-4065	154	11	and	and	CCONJ
iajs-4065	154	12	applications	application	NOUN
iajs-4065	154	13	.	.	PUNCT
iajs-4065	155	1	j	j	PROPN
iajs-4065	155	2	data	data	PROPN
iajs-4065	155	3	sci	sci	PROPN
iajs-4065	155	4	.	.	PUNCT
iajs-4065	156	1	2021;17(4):726–41	2021;17(4):726–41	NUM
iajs-4065	156	2	.	.	PUNCT
iajs-4065	157	1	https://doi.org/10.6339/jds.201910_17(4).0006	https://doi.org/10.6339/jds.201910_17(4).0006	PROPN
iajs-4065	157	2	.	.	PUNCT
iajs-4065	158	1	https://doi.org/10.35378/gujs.868555	https://doi.org/10.35378/gujs.868555	NOUN
iajs-4065	158	2	ihjpas	ihjpas	PROPN
iajs-4065	158	3	.	.	PUNCT
iajs-4065	159	1	2025,38(4	2025,38(4	X
iajs-4065	159	2	)	)	PUNCT
iajs-4065	159	3	362	362	NUM
iajs-4065	159	4	20	20	NUM
iajs-4065	159	5	.	.	PUNCT
iajs-4065	160	1	cordeiro	cordeiro	PROPN
iajs-4065	160	2	gm	gm	PROPN
iajs-4065	160	3	,	,	PUNCT
iajs-4065	160	4	ortega	ortega	PROPN
iajs-4065	160	5	emm	emm	PROPN
iajs-4065	160	6	,	,	PUNCT
iajs-4065	160	7	lemonte	lemonte	PROPN
iajs-4065	160	8	aj	aj	PROPN
iajs-4065	160	9	.	.	PUNCT
iajs-4065	161	1	the	the	DET
iajs-4065	161	2	exponential	exponential	NOUN
iajs-4065	161	3	–	–	PUNCT
iajs-4065	161	4	weibull	weibull	NOUN
iajs-4065	161	5	lifetime	lifetime	NOUN
iajs-4065	161	6	distribution	distribution	NOUN
iajs-4065	161	7	.	.	PUNCT
iajs-4065	162	1	j	j	PROPN
iajs-4065	162	2	stat	stat	PROPN
iajs-4065	162	3	comput	comput	PROPN
iajs-4065	162	4	simul	simul	PROPN
iajs-4065	162	5	.	.	PUNCT
iajs-4065	163	1	2014;84(12):2592–606	2014;84(12):2592–606	NUM
iajs-4065	163	2	.	.	PUNCT
iajs-4065	164	1	https://doi.org/10.1080/00949655.2013.797982	https://doi.org/10.1080/00949655.2013.797982	PROPN
iajs-4065	164	2	.	.	PROPN
iajs-4065	165	1	21	21	NUM
iajs-4065	165	2	.	.	PUNCT
iajs-4065	165	3	nasiru	nasiru	PROPN
iajs-4065	165	4	s.	s.	PROPN
iajs-4065	165	5	serial	serial	PROPN
iajs-4065	165	6	weibull	weibull	PROPN
iajs-4065	165	7	rayleigh	rayleigh	PROPN
iajs-4065	165	8	distribution	distribution	NOUN
iajs-4065	165	9	:	:	PUNCT
iajs-4065	165	10	theory	theory	NOUN
iajs-4065	165	11	and	and	CCONJ
iajs-4065	165	12	application	application	NOUN
iajs-4065	165	13	.	.	PUNCT
iajs-4065	166	1	int	int	PROPN
iajs-4065	166	2	j	j	PROPN
iajs-4065	166	3	comput	comput	VERB
iajs-4065	166	4	sci	sci	PROPN
iajs-4065	166	5	math	math	NOUN
iajs-4065	166	6	.	.	PUNCT
iajs-4065	167	1	2016;7(3):239–44	2016;7(3):239–44	NUM
iajs-4065	167	2	.	.	PUNCT
iajs-4065	168	1	https://doi.org/10.1504/ijcsm.2016.077859	https://doi.org/10.1504/ijcsm.2016.077859	PROPN
iajs-4065	168	2	.	.	NOUN
iajs-4065	168	3	22	22	NUM
iajs-4065	168	4	.	.	PUNCT
iajs-4065	169	1	ashor	ashor	NOUN
iajs-4065	169	2	na	na	PROPN
iajs-4065	169	3	,	,	PUNCT
iajs-4065	169	4	mohammed	mohammed	PROPN
iajs-4065	169	5	mj	mj	PROPN
iajs-4065	169	6	.	.	PROPN
iajs-4065	169	7	comparison	comparison	NOUN
iajs-4065	169	8	between	between	ADP
iajs-4065	169	9	new	new	ADJ
iajs-4065	169	10	lifetime	lifetime	NOUN
iajs-4065	169	11	shanker	shanker	NOUN
iajs-4065	169	12	-	-	PUNCT
iajs-4065	169	13	weibull	weibull	NOUN
iajs-4065	169	14	distribution	distribution	NOUN
iajs-4065	169	15	and	and	CCONJ
iajs-4065	169	16	many	many	ADJ
iajs-4065	169	17	other	other	ADJ
iajs-4065	169	18	distributions	distribution	NOUN
iajs-4065	169	19	.	.	PUNCT
iajs-4065	170	1	in	in	ADP
iajs-4065	170	2	:	:	PUNCT
iajs-4065	170	3	aip	aip	PROPN
iajs-4065	170	4	conference	conference	NOUN
iajs-4065	170	5	proceedings	proceeding	NOUN
iajs-4065	170	6	.	.	PUNCT
iajs-4065	171	1	aip	aip	PROPN
iajs-4065	171	2	publishing	publishing	NOUN
iajs-4065	171	3	;	;	PUNCT
iajs-4065	171	4	2024	2024	NUM
iajs-4065	171	5	;	;	PUNCT
iajs-4065	171	6	3229	3229	NUM
iajs-4065	171	7	:	:	PUNCT
iajs-4065	171	8	080042	080042	NUM
iajs-4065	171	9	.	.	PUNCT
iajs-4065	172	1	https://doi.org/10.1063/5.0236945	https://doi.org/10.1063/5.0236945	PROPN
iajs-4065	172	2	.	.	PROPN
iajs-4065	173	1	23	23	NUM
iajs-4065	173	2	.	.	PUNCT
iajs-4065	174	1	shatti	shatti	PROPN
iajs-4065	174	2	rn	rn	PROPN
iajs-4065	174	3	,	,	PUNCT
iajs-4065	174	4	al	al	PROPN
iajs-4065	174	5	-	-	PUNCT
iajs-4065	174	6	kinani	kinani	PROPN
iajs-4065	174	7	ih	ih	X
iajs-4065	174	8	.	.	PUNCT
iajs-4065	175	1	estimating	estimate	VERB
iajs-4065	175	2	the	the	DET
iajs-4065	175	3	parameters	parameter	NOUN
iajs-4065	175	4	of	of	ADP
iajs-4065	175	5	exponential	exponential	ADJ
iajs-4065	175	6	-	-	PUNCT
iajs-4065	175	7	rayleigh	rayleigh	NOUN
iajs-4065	175	8	distribution	distribution	NOUN
iajs-4065	175	9	under	under	ADP
iajs-4065	175	10	type	type	NOUN
iajs-4065	175	11	-	-	PUNCT
iajs-4065	175	12	i	i	PRON
iajs-4065	175	13	censored	censored	ADJ
iajs-4065	175	14	data	datum	NOUN
iajs-4065	175	15	.	.	PUNCT
iajs-4065	176	1	baghdad	baghdad	PROPN
iajs-4065	176	2	sci	sci	PROPN
iajs-4065	176	3	j.	j.	PROPN
iajs-4065	176	4	2024;21(1):146	2024;21(1):146	PROPN
iajs-4065	176	5	.	.	PUNCT
iajs-4065	177	1	https://doi.org/10.21123/bsj.2023.7962	https://doi.org/10.21123/bsj.2023.7962	NOUN
iajs-4065	177	2	.	.	PUNCT
iajs-4065	178	1	24	24	NUM
iajs-4065	178	2	.	.	PUNCT
iajs-4065	179	1	mohammed	mohammed	PROPN
iajs-4065	179	2	mj	mj	PROPN
iajs-4065	179	3	,	,	PUNCT
iajs-4065	179	4	hussein	hussein	PROPN
iajs-4065	179	5	ih	ih	PROPN
iajs-4065	179	6	.	.	PUNCT
iajs-4065	180	1	study	study	NOUN
iajs-4065	180	2	of	of	ADP
iajs-4065	180	3	new	new	ADJ
iajs-4065	180	4	mixture	mixture	NOUN
iajs-4065	180	5	distribution	distribution	NOUN
iajs-4065	180	6	[	[	X
iajs-4065	180	7	a	a	X
iajs-4065	180	8	]	]	X
iajs-4065	180	9	.	.	PUNCT
iajs-4065	181	1	in	in	ADP
iajs-4065	181	2	:	:	PUNCT
iajs-4065	181	3	int	int	NOUN
iajs-4065	181	4	,	,	PUNCT
iajs-4065	181	5	conf	conf	NOUN
iajs-4065	181	6	,	,	PUNCT
iajs-4065	181	7	j	j	PROPN
iajs-4065	181	8	eng	eng	PROPN
iajs-4065	181	9	apply	apply	VERB
iajs-4065	181	10	sci	sci	PROPN
iajs-4065	181	11	.	.	PROPN
iajs-4065	181	12	2018	2018	NUM
iajs-4065	181	13	;	;	PUNCT
iajs-4065	181	14	14(20):7566	14(20):7566	NUM
iajs-4065	181	15	-	-	SYM
iajs-4065	181	16	7573	7573	NUM
iajs-4065	181	17	.	.	PUNCT
iajs-4065	182	1	https://doi.org/10.36478/jeasci.2019.7566.7573	https://doi.org/10.36478/jeasci.2019.7566.7573	X
iajs-4065	182	2	.	.	PROPN
iajs-4065	183	1	25	25	NUM
iajs-4065	183	2	.	.	PUNCT
iajs-4065	184	1	khalaf	khalaf	PROPN
iajs-4065	184	2	aa	aa	PROPN
iajs-4065	184	3	,	,	PUNCT
iajs-4065	184	4	khaleel	khaleel	PROPN
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iajs-4065	184	6	.	.	PUNCT
iajs-4065	185	1	the	the	DET
iajs-4065	185	2	new	new	ADJ
iajs-4065	185	3	strange	strange	ADJ
iajs-4065	185	4	generalized	generalized	ADJ
iajs-4065	185	5	rayleigh	rayleigh	PROPN
iajs-4065	185	6	family	family	NOUN
iajs-4065	185	7	:	:	PUNCT
iajs-4065	185	8	characteristics	characteristic	NOUN
iajs-4065	185	9	and	and	CCONJ
iajs-4065	185	10	applications	application	NOUN
iajs-4065	185	11	to	to	ADP
iajs-4065	185	12	covid-19	covid-19	PROPN
iajs-4065	185	13	data	data	PROPN
iajs-4065	185	14	.	.	PUNCT
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iajs-4065	186	2	j	j	PROPN
iajs-4065	186	3	comput	comput	VERB
iajs-4065	186	4	sci	sci	PROPN
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iajs-4065	186	6	.	.	PUNCT
iajs-4065	187	1	2024;5(3):92–107	2024;5(3):92–107	X
iajs-4065	187	2	.	.	PUNCT
iajs-4065	188	1	https://doi.org/10.52866/ijcsm.2024.05.03.005	https://doi.org/10.52866/ijcsm.2024.05.03.005	X
iajs-4065	188	2	.	.	PUNCT
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iajs-4065	189	2	.	.	PUNCT
iajs-4065	190	1	al	al	PROPN
iajs-4065	190	2	-	-	PUNCT
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iajs-4065	190	5	,	,	PUNCT
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iajs-4065	190	8	,	,	PUNCT
iajs-4065	190	9	al	al	PROPN
iajs-4065	190	10	-	-	PUNCT
iajs-4065	190	11	mofleh	mofleh	PROPN
iajs-4065	190	12	h.	h.	PROPN
iajs-4065	190	13	a	a	DET
iajs-4065	190	14	new	new	ADJ
iajs-4065	190	15	family	family	NOUN
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iajs-4065	190	17	truncated	truncate	VERB
iajs-4065	190	18	nadarajah	nadarajah	PROPN
iajs-4065	190	19	-	-	PUNCT
iajs-4065	190	20	haghighi	haghighi	PROPN
iajs-4065	190	21	-	-	PUNCT
iajs-4065	190	22	g	g	NOUN
iajs-4065	190	23	properties	property	NOUN
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iajs-4065	190	27	applications	application	NOUN
iajs-4065	190	28	.	.	PUNCT
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iajs-4065	191	2	j	j	PROPN
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iajs-4065	191	6	.	.	PUNCT
iajs-4065	192	1	2023;19(61):2	2023;19(61):2	NUM
iajs-4065	192	2	.	.	PUNCT
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iajs-4065	193	2	.	.	PROPN
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iajs-4065	193	4	.	.	PUNCT
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iajs-4065	194	3	,	,	PUNCT
iajs-4065	194	4	hussein	hussein	PROPN
iajs-4065	194	5	ih	ih	PROPN
iajs-4065	194	6	.	.	PUNCT
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iajs-4065	194	9	survival	survival	NOUN
iajs-4065	194	10	and	and	CCONJ
iajs-4065	194	11	related	related	ADJ
iajs-4065	194	12	functions	function	NOUN
iajs-4065	194	13	of	of	ADP
iajs-4065	194	14	weighted	weight	VERB
iajs-4065	194	15	rayleigh	rayleigh	NOUN
iajs-4065	194	16	distribution	distribution	NOUN
iajs-4065	194	17	.	.	PUNCT
iajs-4065	195	1	ibn	ibn	PROPN
iajs-4065	195	2	al	al	PROPN
iajs-4065	195	3	-	-	PUNCT
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iajs-4065	195	7	appl	appl	PROPN
iajs-4065	195	8	sci	sci	PROPN
iajs-4065	195	9	.	.	PUNCT
iajs-4065	195	10	2021;34(1	2021;34(1	NUM
iajs-4065	195	11	)	)	PUNCT
iajs-4065	195	12	.	.	PUNCT
iajs-4065	196	1	https://doi.org/10.30526/34.1.2558	https://doi.org/10.30526/34.1.2558	X
iajs-4065	196	2	.	.	PUNCT
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iajs-4065	196	4	.	.	PUNCT
iajs-4065	197	1	abdulateef	abdulateef	PROPN
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iajs-4065	197	6	.	.	PUNCT
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iajs-4065	198	8	,	,	PUNCT
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iajs-4065	198	11	in	in	ADP
iajs-4065	198	12	case	case	NOUN
iajs-4065	198	13	of	of	ADP
iajs-4065	198	14	exponentiated	exponentiated	ADJ
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iajs-4065	198	16	distribution	distribution	NOUN
iajs-4065	198	17	.	.	PUNCT
iajs-4065	199	1	ibn	ibn	PROPN
iajs-4065	199	2	al	al	PROPN
iajs-4065	199	3	-	-	PUNCT
iajs-4065	199	4	haitham	haitham	PROPN
iajs-4065	199	5	j	j	PROPN
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iajs-4065	199	7	appl	appl	PROPN
iajs-4065	199	8	sci	sci	PROPN
iajs-4065	199	9	.	.	PUNCT
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iajs-4065	200	2	.	.	PUNCT
iajs-4065	201	1	https://doi.org/10.30526/32.1.1825	https://doi.org/10.30526/32.1.1825	X
iajs-4065	201	2	.	.	PROPN
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iajs-4065	201	4	.	.	PUNCT
iajs-4065	202	1	kalaf	kalaf	PROPN
iajs-4065	202	2	ba	ba	PROPN
iajs-4065	202	3	,	,	PUNCT
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iajs-4065	202	5	naa	naa	PROPN
iajs-4065	202	6	,	,	PUNCT
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iajs-4065	202	9	.	.	PUNCT
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iajs-4065	202	13	rayleigh	rayleigh	NOUN
iajs-4065	202	14	distribution	distribution	NOUN
iajs-4065	202	15	and	and	CCONJ
iajs-4065	202	16	some	some	DET
iajs-4065	202	17	properties	property	NOUN
iajs-4065	202	18	.	.	PUNCT
iajs-4065	203	1	ibn	ibn	PROPN
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iajs-4065	203	3	-	-	PUNCT
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iajs-4065	203	7	appl	appl	PROPN
iajs-4065	203	8	sci	sci	PROPN
iajs-4065	203	9	.	.	PUNCT
iajs-4065	204	1	2023;36(4):414–28	2023;36(4):414–28	NUM
iajs-4065	204	2	.	.	PUNCT
iajs-4065	205	1	https://doi.org/10.30526/36.4.2977	https://doi.org/10.30526/36.4.2977	X
iajs-4065	205	2	.	.	NOUN
iajs-4065	205	3	30	30	NUM
iajs-4065	205	4	.	.	PUNCT
iajs-4065	206	1	al	al	PROPN
iajs-4065	206	2	-	-	PUNCT
iajs-4065	206	3	habib	habib	PROPN
iajs-4065	206	4	kh	kh	PROPN
iajs-4065	206	5	,	,	PUNCT
iajs-4065	206	6	khaleel	khaleel	PROPN
iajs-4065	206	7	ma	ma	PROPN
iajs-4065	206	8	,	,	PUNCT
iajs-4065	206	9	al	al	PROPN
iajs-4065	206	10	-	-	PUNCT
iajs-4065	206	11	mofleh	mofleh	PROPN
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iajs-4065	206	16	application	application	NOUN
iajs-4065	206	17	for	for	ADP
iajs-4065	206	18	[	[	X
iajs-4065	206	19	0	0	NUM
iajs-4065	206	20	,	,	PUNCT
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iajs-4065	206	23	truncated	truncated	ADJ
iajs-4065	206	24	nadarajah	nadarajah	PROPN
iajs-4065	206	25	-	-	PUNCT
iajs-4065	206	26	haghighi	haghighi	PROPN
iajs-4065	206	27	exponential	exponential	ADJ
iajs-4065	206	28	distribution	distribution	NOUN
iajs-4065	206	29	.	.	PUNCT
iajs-4065	207	1	ibn	ibn	PROPN
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iajs-4065	207	3	-	-	PUNCT
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iajs-4065	207	7	appl	appl	PROPN
iajs-4065	207	8	sci	sci	PROPN
iajs-4065	207	9	.	.	PUNCT
iajs-4065	208	1	2024;37(2):376–92	2024;37(2):376–92	X
iajs-4065	208	2	.	.	PUNCT
iajs-4065	209	1	https://doi.org/10.30526/36.4.2977	https://doi.org/10.30526/36.4.2977	X
iajs-4065	209	2	.	.	PUNCT