id	sid	tid	token	lemma	pos
iajs-3885	1	1	336	336	NUM
iajs-3885	1	2	©	©	ADP
iajs-3885	1	3	2025	2025	NUM
iajs-3885	1	4	the	the	DET
iajs-3885	1	5	author(s	author(s	NOUN
iajs-3885	1	6	)	)	PUNCT
iajs-3885	1	7	.	.	PUNCT
iajs-3885	2	1	published	publish	VERB
iajs-3885	2	2	by	by	ADP
iajs-3885	2	3	college	college	NOUN
iajs-3885	2	4	of	of	ADP
iajs-3885	2	5	education	education	NOUN
iajs-3885	2	6	for	for	ADP
iajs-3885	2	7	pure	pure	ADJ
iajs-3885	2	8	science	science	NOUN
iajs-3885	2	9	(	(	PUNCT
iajs-3885	2	10	ibn	ibn	PROPN
iajs-3885	2	11	al	al	PROPN
iajs-3885	2	12	-	-	PUNCT
iajs-3885	2	13	haitham	haitham	PROPN
iajs-3885	2	14	)	)	PUNCT
iajs-3885	2	15	,	,	PUNCT
iajs-3885	2	16	university	university	NOUN
iajs-3885	2	17	of	of	ADP
iajs-3885	2	18	baghdad	baghdad	PROPN
iajs-3885	2	19	.	.	PUNCT
iajs-3885	3	1	this	this	PRON
iajs-3885	3	2	is	be	AUX
iajs-3885	3	3	an	an	DET
iajs-3885	3	4	open	open	ADJ
iajs-3885	3	5	-	-	PUNCT
iajs-3885	3	6	access	access	NOUN
iajs-3885	3	7	article	article	NOUN
iajs-3885	3	8	distributed	distribute	VERB
iajs-3885	3	9	under	under	ADP
iajs-3885	3	10	the	the	DET
iajs-3885	3	11	terms	term	NOUN
iajs-3885	3	12	of	of	ADP
iajs-3885	3	13	the	the	DET
iajs-3885	3	14	creative	creative	ADJ
iajs-3885	3	15	commons	common	NOUN
iajs-3885	3	16	attribution	attribution	NOUN
iajs-3885	3	17	4.0	4.0	NUM
iajs-3885	3	18	international	international	ADJ
iajs-3885	3	19	license	license	NOUN
iajs-3885	3	20	new	new	ADJ
iajs-3885	3	21	lifetime	lifetime	NOUN
iajs-3885	3	22	alpha	alpha	NOUN
iajs-3885	3	23	power	power	NOUN
iajs-3885	3	24	exponential	exponential	ADJ
iajs-3885	3	25	weibull	weibull	NOUN
iajs-3885	3	26	distribution	distribution	NOUN
iajs-3885	3	27	:	:	PUNCT
iajs-3885	3	28	structure	structure	NOUN
iajs-3885	3	29	and	and	CCONJ
iajs-3885	3	30	properties	property	NOUN
iajs-3885	3	31	hiba	hiba	PROPN
iajs-3885	3	32	mahdi	mahdi	PROPN
iajs-3885	3	33	saleh	saleh	PROPN
iajs-3885	3	34	1	1	NUM
iajs-3885	3	35	,	,	PUNCT
iajs-3885	3	36	ali	ali	PROPN
iajs-3885	3	37	talib	talib	PROPN
iajs-3885	3	38	mohammed	mohammed	PROPN
iajs-3885	3	39	2	2	NUM
iajs-3885	3	40	*	*	PUNCT
iajs-3885	3	41	,	,	PUNCT
iajs-3885	3	42	and	and	CCONJ
iajs-3885	3	43	umar	umar	PROPN
iajs-3885	3	44	yusuf	yusuf	PROPN
iajs-3885	3	45	madaki	madaki	PROPN
iajs-3885	3	46	3	3	NUM
iajs-3885	3	47	1,2	1,2	NUM
iajs-3885	3	48	department	department	NOUN
iajs-3885	3	49	of	of	ADP
iajs-3885	3	50	mathematics	mathematic	NOUN
iajs-3885	3	51	,	,	PUNCT
iajs-3885	3	52	college	college	NOUN
iajs-3885	3	53	of	of	ADP
iajs-3885	3	54	education	education	NOUN
iajs-3885	3	55	for	for	ADP
iajs-3885	3	56	pure	pure	ADJ
iajs-3885	3	57	science	science	NOUN
iajs-3885	3	58	(	(	PUNCT
iajs-3885	3	59	ibn	ibn	PROPN
iajs-3885	3	60	al	al	PROPN
iajs-3885	3	61	-	-	PUNCT
iajs-3885	3	62	haitham	haitham	PROPN
iajs-3885	3	63	)	)	PUNCT
iajs-3885	3	64	,	,	PUNCT
iajs-3885	3	65	university	university	NOUN
iajs-3885	3	66	of	of	ADP
iajs-3885	3	67	baghdad	baghdad	PROPN
iajs-3885	3	68	,	,	PUNCT
iajs-3885	3	69	baghdad	baghdad	PROPN
iajs-3885	3	70	,	,	PUNCT
iajs-3885	3	71	iraq	iraq	PROPN
iajs-3885	3	72	.	.	PUNCT
iajs-3885	4	1	3	3	NUM
iajs-3885	4	2	department	department	NOUN
iajs-3885	4	3	of	of	ADP
iajs-3885	4	4	mathematics	mathematic	NOUN
iajs-3885	4	5	and	and	CCONJ
iajs-3885	4	6	statistics	statistic	NOUN
iajs-3885	4	7	,	,	PUNCT
iajs-3885	4	8	faculty	faculty	NOUN
iajs-3885	4	9	of	of	ADP
iajs-3885	4	10	science	science	NOUN
iajs-3885	4	11	,	,	PUNCT
iajs-3885	4	12	yobe	yobe	PROPN
iajs-3885	4	13	state	state	PROPN
iajs-3885	4	14	university	university	NOUN
iajs-3885	4	15	damaturu	damaturu	NOUN
iajs-3885	4	16	,	,	PUNCT
iajs-3885	4	17	nigeria	nigeria	PROPN
iajs-3885	4	18	.	.	PUNCT
iajs-3885	5	1	*	*	PUNCT
iajs-3885	5	2	corresponding	correspond	VERB
iajs-3885	5	3	author	author	NOUN
iajs-3885	5	4	.	.	PUNCT
iajs-3885	6	1	received	receive	VERB
iajs-3885	6	2	:	:	PUNCT
iajs-3885	6	3	15	15	NUM
iajs-3885	6	4	january	january	NOUN
iajs-3885	6	5	2024	2024	NUM
iajs-3885	6	6	accepted	accept	VERB
iajs-3885	6	7	:	:	PUNCT
iajs-3885	6	8	29	29	NUM
iajs-3885	6	9	april	april	PROPN
iajs-3885	6	10	2024	2024	NUM
iajs-3885	6	11	published	publish	VERB
iajs-3885	6	12	:	:	PUNCT
iajs-3885	6	13	20	20	NUM
iajs-3885	6	14	july	july	PROPN
iajs-3885	6	15	2025	2025	NUM
iajs-3885	6	16	doi.org/10.30526/38.3.3885	doi.org/10.30526/38.3.3885	NOUN
iajs-3885	6	17	abstract	abstract	ADJ
iajs-3885	6	18	in	in	ADP
iajs-3885	6	19	statistics	statistic	NOUN
iajs-3885	6	20	theory	theory	NOUN
iajs-3885	6	21	,	,	PUNCT
iajs-3885	6	22	adding	add	VERB
iajs-3885	6	23	a	a	DET
iajs-3885	6	24	new	new	ADJ
iajs-3885	6	25	parameter	parameter	NOUN
iajs-3885	6	26	is	be	AUX
iajs-3885	6	27	considered	consider	VERB
iajs-3885	6	28	one	one	NUM
iajs-3885	6	29	of	of	ADP
iajs-3885	6	30	the	the	DET
iajs-3885	6	31	important	important	ADJ
iajs-3885	6	32	things	thing	NOUN
iajs-3885	6	33	that	that	PRON
iajs-3885	6	34	help	help	VERB
iajs-3885	6	35	in	in	ADP
iajs-3885	6	36	producing	produce	VERB
iajs-3885	6	37	statistical	statistical	ADJ
iajs-3885	6	38	distributions	distribution	NOUN
iajs-3885	6	39	more	more	ADV
iajs-3885	6	40	flexible	flexible	ADJ
iajs-3885	6	41	and	and	CCONJ
iajs-3885	6	42	appropriate	appropriate	ADJ
iajs-3885	6	43	in	in	ADP
iajs-3885	6	44	data	datum	NOUN
iajs-3885	6	45	analysis	analysis	NOUN
iajs-3885	6	46	.	.	PUNCT
iajs-3885	7	1	alpha	alpha	NOUN
iajs-3885	7	2	-	-	PUNCT
iajs-3885	7	3	power	power	NOUN
iajs-3885	7	4	transformations	transformation	NOUN
iajs-3885	7	5	are	be	AUX
iajs-3885	7	6	considered	consider	VERB
iajs-3885	7	7	a	a	DET
iajs-3885	7	8	modern	modern	ADJ
iajs-3885	7	9	technique	technique	NOUN
iajs-3885	7	10	that	that	PRON
iajs-3885	7	11	involves	involve	VERB
iajs-3885	7	12	adding	add	VERB
iajs-3885	7	13	a	a	DET
iajs-3885	7	14	shape	shape	NOUN
iajs-3885	7	15	parameter	parameter	NOUN
iajs-3885	7	16	to	to	PART
iajs-3885	7	17	generate	generate	VERB
iajs-3885	7	18	new	new	ADJ
iajs-3885	7	19	statistical	statistical	ADJ
iajs-3885	7	20	distributions	distribution	NOUN
iajs-3885	7	21	.	.	PUNCT
iajs-3885	8	1	in	in	ADP
iajs-3885	8	2	this	this	DET
iajs-3885	8	3	paper	paper	NOUN
iajs-3885	8	4	,	,	PUNCT
iajs-3885	8	5	a	a	DET
iajs-3885	8	6	new	new	ADJ
iajs-3885	8	7	life	life	NOUN
iajs-3885	8	8	continuous	continuous	ADJ
iajs-3885	8	9	distribution	distribution	NOUN
iajs-3885	8	10	of	of	ADP
iajs-3885	8	11	three	three	NUM
iajs-3885	8	12	parameters	parameter	NOUN
iajs-3885	8	13	is	be	AUX
iajs-3885	8	14	presented	present	VERB
iajs-3885	8	15	by	by	ADP
iajs-3885	8	16	fitting	fit	VERB
iajs-3885	8	17	the	the	DET
iajs-3885	8	18	alpha	alpha	NOUN
iajs-3885	8	19	power	power	NOUN
iajs-3885	8	20	transformations	transformation	NOUN
iajs-3885	8	21	family	family	NOUN
iajs-3885	8	22	distribution	distribution	NOUN
iajs-3885	8	23	with	with	ADP
iajs-3885	8	24	two	two	NUM
iajs-3885	8	25	parameters	parameter	NOUN
iajs-3885	8	26	lifetime	lifetime	VERB
iajs-3885	8	27	exponential	exponential	ADJ
iajs-3885	8	28	weibull	weibull	NOUN
iajs-3885	8	29	distribution	distribution	NOUN
iajs-3885	8	30	.	.	PUNCT
iajs-3885	9	1	the	the	DET
iajs-3885	9	2	new	new	ADJ
iajs-3885	9	3	model	model	NOUN
iajs-3885	9	4	named	name	VERB
iajs-3885	9	5	alpha	alpha	NOUN
iajs-3885	9	6	-	-	PUNCT
iajs-3885	9	7	power	power	NOUN
iajs-3885	9	8	exponential	exponential	ADJ
iajs-3885	9	9	weibull	weibull	NOUN
iajs-3885	9	10	distribution	distribution	NOUN
iajs-3885	9	11	(	(	PUNCT
iajs-3885	9	12	apewd	apewd	NOUN
iajs-3885	9	13	)	)	PUNCT
iajs-3885	9	14	with	with	ADP
iajs-3885	9	15	three	three	NUM
iajs-3885	9	16	parameters	parameter	NOUN
iajs-3885	9	17	(	(	PUNCT
iajs-3885	9	18	)	)	PUNCT
iajs-3885	9	19	,	,	PUNCT
iajs-3885	9	20	where	where	SCONJ
iajs-3885	9	21	and	and	CCONJ
iajs-3885	9	22	are	be	AUX
iajs-3885	9	23	classified	classify	VERB
iajs-3885	9	24	as	as	SCONJ
iajs-3885	9	25	scale	scale	NOUN
iajs-3885	9	26	parameters	parameter	NOUN
iajs-3885	9	27	and	and	CCONJ
iajs-3885	9	28	parameter	parameter	NOUN
iajs-3885	9	29	is	be	AUX
iajs-3885	9	30	classified	classify	VERB
iajs-3885	9	31	as	as	ADP
iajs-3885	9	32	a	a	DET
iajs-3885	9	33	shape	shape	NOUN
iajs-3885	9	34	parameter	parameter	NOUN
iajs-3885	9	35	.	.	PUNCT
iajs-3885	10	1	the	the	DET
iajs-3885	10	2	cumulative	cumulative	ADJ
iajs-3885	10	3	,	,	PUNCT
iajs-3885	10	4	probability	probability	NOUN
iajs-3885	10	5	density	density	NOUN
iajs-3885	10	6	,	,	PUNCT
iajs-3885	10	7	survival	survival	NOUN
iajs-3885	10	8	,	,	PUNCT
iajs-3885	10	9	hazard	hazard	NOUN
iajs-3885	10	10	functions	function	NOUN
iajs-3885	10	11	,	,	PUNCT
iajs-3885	10	12	and	and	CCONJ
iajs-3885	10	13	statistical	statistical	ADJ
iajs-3885	10	14	properties	property	NOUN
iajs-3885	10	15	of	of	ADP
iajs-3885	10	16	the	the	DET
iajs-3885	10	17	proposed	propose	VERB
iajs-3885	10	18	new	new	ADJ
iajs-3885	10	19	model	model	NOUN
iajs-3885	10	20	distribution	distribution	NOUN
iajs-3885	10	21	were	be	AUX
iajs-3885	10	22	discussed	discuss	VERB
iajs-3885	10	23	and	and	CCONJ
iajs-3885	10	24	studied	study	VERB
iajs-3885	10	25	such	such	ADJ
iajs-3885	10	26	as	as	ADP
iajs-3885	10	27	quantile	quantile	ADJ
iajs-3885	10	28	function	function	NOUN
iajs-3885	10	29	,	,	PUNCT
iajs-3885	10	30	moment	moment	NOUN
iajs-3885	10	31	about	about	ADP
iajs-3885	10	32	origin	origin	NOUN
iajs-3885	10	33	,	,	PUNCT
iajs-3885	10	34	moment	moment	NOUN
iajs-3885	10	35	generating	generate	VERB
iajs-3885	10	36	function	function	NOUN
iajs-3885	10	37	,	,	PUNCT
iajs-3885	10	38	skewness	skewness	NOUN
iajs-3885	10	39	,	,	PUNCT
iajs-3885	10	40	kurtosis	kurtosis	NOUN
iajs-3885	10	41	,	,	PUNCT
iajs-3885	10	42	factorial	factorial	ADJ
iajs-3885	10	43	moments	moment	NOUN
iajs-3885	10	44	generating	generating	NOUN
iajs-3885	10	45	function	function	NOUN
iajs-3885	10	46	,	,	PUNCT
iajs-3885	10	47	and	and	CCONJ
iajs-3885	10	48	characteristic	characteristic	ADJ
iajs-3885	10	49	function	function	NOUN
iajs-3885	10	50	.	.	PUNCT
iajs-3885	11	1	to	to	PART
iajs-3885	11	2	expand	expand	VERB
iajs-3885	11	3	the	the	DET
iajs-3885	11	4	probability	probability	NOUN
iajs-3885	11	5	density	density	NOUN
iajs-3885	11	6	function	function	NOUN
iajs-3885	11	7	for	for	ADP
iajs-3885	11	8	the	the	DET
iajs-3885	11	9	new	new	ADJ
iajs-3885	11	10	distribution	distribution	NOUN
iajs-3885	11	11	,	,	PUNCT
iajs-3885	11	12	we	we	PRON
iajs-3885	11	13	took	take	VERB
iajs-3885	11	14	advantage	advantage	NOUN
iajs-3885	11	15	of	of	ADP
iajs-3885	11	16	expanding	expand	VERB
iajs-3885	11	17	the	the	DET
iajs-3885	11	18	exponential	exponential	ADJ
iajs-3885	11	19	function	function	NOUN
iajs-3885	11	20	for	for	ADP
iajs-3885	11	21	ease	ease	NOUN
iajs-3885	11	22	of	of	ADP
iajs-3885	11	23	dealing	deal	VERB
iajs-3885	11	24	with	with	ADP
iajs-3885	11	25	finding	find	VERB
iajs-3885	11	26	statistical	statistical	ADJ
iajs-3885	11	27	properties	property	NOUN
iajs-3885	11	28	.	.	PUNCT
iajs-3885	12	1	keywords	keyword	NOUN
iajs-3885	12	2	:	:	PUNCT
iajs-3885	12	3	alpha	alpha	PROPN
iajs-3885	12	4	power	power	PROPN
iajs-3885	12	5	family	family	NOUN
iajs-3885	12	6	,	,	PUNCT
iajs-3885	12	7	exponential	exponential	ADJ
iajs-3885	12	8	weibull	weibull	NOUN
iajs-3885	12	9	distribution	distribution	NOUN
iajs-3885	12	10	,	,	PUNCT
iajs-3885	12	11	survival	survival	NOUN
iajs-3885	12	12	function	function	NOUN
iajs-3885	12	13	,	,	PUNCT
iajs-3885	12	14	moments	moment	NOUN
iajs-3885	12	15	about	about	ADP
iajs-3885	12	16	the	the	DET
iajs-3885	12	17	origin	origin	NOUN
iajs-3885	12	18	,	,	PUNCT
iajs-3885	12	19	moment	moment	NOUN
iajs-3885	12	20	generating	generate	VERB
iajs-3885	12	21	function	function	NOUN
iajs-3885	12	22	1	1	NUM
iajs-3885	12	23	.	.	PUNCT
iajs-3885	13	1	introduction	introduction	NOUN
iajs-3885	13	2	statistics	statistic	NOUN
iajs-3885	13	3	distributions	distribution	NOUN
iajs-3885	13	4	play	play	VERB
iajs-3885	13	5	a	a	DET
iajs-3885	13	6	crucial	crucial	ADJ
iajs-3885	13	7	role	role	NOUN
iajs-3885	13	8	in	in	ADP
iajs-3885	13	9	analyzing	analyze	VERB
iajs-3885	13	10	data	datum	NOUN
iajs-3885	13	11	and	and	CCONJ
iajs-3885	13	12	making	make	VERB
iajs-3885	13	13	more	more	ADV
iajs-3885	13	14	accurate	accurate	ADJ
iajs-3885	13	15	decisions	decision	NOUN
iajs-3885	13	16	.	.	PUNCT
iajs-3885	14	1	however	however	ADV
iajs-3885	14	2	,	,	PUNCT
iajs-3885	14	3	the	the	DET
iajs-3885	14	4	world	world	NOUN
iajs-3885	14	5	is	be	AUX
iajs-3885	14	6	constantly	constantly	ADV
iajs-3885	14	7	evolving	evolve	VERB
iajs-3885	14	8	,	,	PUNCT
iajs-3885	14	9	conditions	condition	NOUN
iajs-3885	14	10	change	change	VERB
iajs-3885	14	11	and	and	CCONJ
iajs-3885	14	12	new	new	ADJ
iajs-3885	14	13	types	type	NOUN
iajs-3885	14	14	of	of	ADP
iajs-3885	14	15	data	datum	NOUN
iajs-3885	14	16	and	and	CCONJ
iajs-3885	14	17	statistical	statistical	ADJ
iajs-3885	14	18	challenges	challenge	NOUN
iajs-3885	14	19	emerge	emerge	VERB
iajs-3885	14	20	.	.	PUNCT
iajs-3885	15	1	for	for	ADP
iajs-3885	15	2	this	this	DET
iajs-3885	15	3	reason	reason	NOUN
iajs-3885	15	4	,	,	PUNCT
iajs-3885	15	5	discovering	discover	VERB
iajs-3885	15	6	new	new	ADJ
iajs-3885	15	7	statistical	statistical	ADJ
iajs-3885	15	8	distributions	distribution	NOUN
iajs-3885	15	9	represents	represent	VERB
iajs-3885	15	10	a	a	DET
iajs-3885	15	11	vital	vital	ADJ
iajs-3885	15	12	area	area	NOUN
iajs-3885	15	13	of	of	ADP
iajs-3885	15	14	research	research	NOUN
iajs-3885	15	15	.	.	PUNCT
iajs-3885	16	1	in	in	ADP
iajs-3885	16	2	this	this	DET
iajs-3885	16	3	article	article	NOUN
iajs-3885	16	4	,	,	PUNCT
iajs-3885	16	5	we	we	PRON
iajs-3885	16	6	will	will	AUX
iajs-3885	16	7	take	take	VERB
iajs-3885	16	8	a	a	DET
iajs-3885	16	9	look	look	NOUN
iajs-3885	16	10	at	at	ADP
iajs-3885	16	11	the	the	DET
iajs-3885	16	12	importance	importance	NOUN
iajs-3885	16	13	of	of	ADP
iajs-3885	16	14	this	this	DET
iajs-3885	16	15	process	process	NOUN
iajs-3885	16	16	and	and	CCONJ
iajs-3885	16	17	how	how	SCONJ
iajs-3885	16	18	it	it	PRON
iajs-3885	16	19	can	can	AUX
iajs-3885	16	20	contribute	contribute	VERB
iajs-3885	16	21	to	to	ADP
iajs-3885	16	22	the	the	DET
iajs-3885	16	23	development	development	NOUN
iajs-3885	16	24	of	of	ADP
iajs-3885	16	25	the	the	DET
iajs-3885	16	26	field	field	NOUN
iajs-3885	16	27	of	of	ADP
iajs-3885	16	28	statistics	statistic	NOUN
iajs-3885	16	29	.	.	PUNCT
iajs-3885	17	1	the	the	DET
iajs-3885	17	2	idea	idea	NOUN
iajs-3885	17	3	of	of	ADP
iajs-3885	17	4	producing	produce	VERB
iajs-3885	17	5	new	new	ADJ
iajs-3885	17	6	distributions	distribution	NOUN
iajs-3885	17	7	has	have	AUX
iajs-3885	17	8	gone	go	VERB
iajs-3885	17	9	through	through	ADP
iajs-3885	17	10	many	many	ADJ
iajs-3885	17	11	stages	stage	NOUN
iajs-3885	17	12	over	over	ADP
iajs-3885	17	13	the	the	DET
iajs-3885	17	14	past	past	ADJ
iajs-3885	17	15	decades	decade	NOUN
iajs-3885	17	16	.	.	PUNCT
iajs-3885	18	1	the	the	DET
iajs-3885	18	2	most	most	ADV
iajs-3885	18	3	important	important	ADJ
iajs-3885	18	4	of	of	ADP
iajs-3885	18	5	these	these	DET
iajs-3885	18	6	stages	stage	NOUN
iajs-3885	18	7	are	be	AUX
iajs-3885	18	8	combining	combine	VERB
iajs-3885	18	9	distributions	distribution	NOUN
iajs-3885	18	10	and	and	CCONJ
iajs-3885	18	11	creating	create	VERB
iajs-3885	18	12	families	family	NOUN
iajs-3885	18	13	of	of	ADP
iajs-3885	18	14	distributions	distribution	NOUN
iajs-3885	18	15	.	.	PUNCT
iajs-3885	19	1	the	the	DET
iajs-3885	19	2	basic	basic	ADJ
iajs-3885	19	3	idea	idea	NOUN
iajs-3885	19	4	of	of	ADP
iajs-3885	19	5	this	this	DET
iajs-3885	19	6	research	research	NOUN
iajs-3885	19	7	is	be	AUX
iajs-3885	19	8	to	to	PART
iajs-3885	19	9	apply	apply	VERB
iajs-3885	19	10	the	the	DET
iajs-3885	19	11	alpha	alpha	NOUN
iajs-3885	19	12	power	power	NOUN
iajs-3885	19	13	family	family	NOUN
iajs-3885	19	14	to	to	ADP
iajs-3885	19	15	a	a	DET
iajs-3885	19	16	statistical	statistical	ADJ
iajs-3885	19	17	distribution	distribution	NOUN
iajs-3885	19	18	resulting	result	VERB
iajs-3885	19	19	from	from	ADP
iajs-3885	19	20	mixing	mix	VERB
iajs-3885	19	21	two	two	NUM
iajs-3885	19	22	distributions	distribution	NOUN
iajs-3885	19	23	.	.	PUNCT
iajs-3885	20	1	(	(	PUNCT
iajs-3885	20	2	1	1	X
iajs-3885	20	3	)	)	PUNCT
iajs-3885	20	4	invented	invent	VERB
iajs-3885	20	5	a	a	DET
iajs-3885	20	6	new	new	ADJ
iajs-3885	20	7	way	way	NOUN
iajs-3885	20	8	to	to	PART
iajs-3885	20	9	https://orcid.org/0009-0006-2943-4840	https://orcid.org/0009-0006-2943-4840	VERB
iajs-3885	20	10	mailto:hiba.mahdi2203m@ihcoedu.uobaghdad.edu.iq	mailto:hiba.mahdi2203m@ihcoedu.uobaghdad.edu.iq	NOUN
iajs-3885	20	11	https://orcid.org/0000-0003-0235-2352	https://orcid.org/0000-0003-0235-2352	PROPN
iajs-3885	20	12	mailto:ali.t.m@ihcoedu.uobaghdad.edu.iq	mailto:ali.t.m@ihcoedu.uobaghdad.edu.iq	PROPN
iajs-3885	20	13	https://orcid.org/0000-0002-2242-9698	https://orcid.org/0000-0002-2242-9698	PROPN
iajs-3885	20	14	mailto:uymadaki84@gmail.com	mailto:uymadaki84@gmail.com	PROPN
iajs-3885	20	15	https://orcid.org/0009-0006-2943-4840	https://orcid.org/0009-0006-2943-4840	PROPN
iajs-3885	20	16	mailto:hiba.mahdi2203m@ihcoedu.uobaghdad.edu.iq	mailto:hiba.mahdi2203m@ihcoedu.uobaghdad.edu.iq	VERB
iajs-3885	20	17	https://orcid.org/0000-0003-0235-2352	https://orcid.org/0000-0003-0235-2352	PROPN
iajs-3885	20	18	mailto:ali.t.m@ihcoedu.uobaghdad.edu.iq	mailto:ali.t.m@ihcoedu.uobaghdad.edu.iq	PROPN
iajs-3885	20	19	https://orcid.org/0000-0002-2242-9698	https://orcid.org/0000-0002-2242-9698	PROPN
iajs-3885	20	20	mailto:uymadaki84@gmail.com	mailto:uymadaki84@gmail.com	PROPN
iajs-3885	20	21	https://orcid.org/0009-0006-2943-4840	https://orcid.org/0009-0006-2943-4840	PROPN
iajs-3885	20	22	mailto:hiba.mahdi2203m@ihcoedu.uobaghdad.edu.iq	mailto:hiba.mahdi2203m@ihcoedu.uobaghdad.edu.iq	VERB
iajs-3885	20	23	https://orcid.org/0000-0003-0235-2352	https://orcid.org/0000-0003-0235-2352	PROPN
iajs-3885	20	24	mailto:ali.t.m@ihcoedu.uobaghdad.edu.iq	mailto:ali.t.m@ihcoedu.uobaghdad.edu.iq	PROPN
iajs-3885	20	25	https://orcid.org/0000-0002-2242-9698	https://orcid.org/0000-0002-2242-9698	PROPN
iajs-3885	20	26	mailto:uymadaki84@gmail.com	mailto:uymadaki84@gmail.com	PROPN
iajs-3885	20	27	https://orcid.org/0009-0006-2943-4840	https://orcid.org/0009-0006-2943-4840	PROPN
iajs-3885	20	28	mailto:hiba.mahdi2203m@ihcoedu.uobaghdad.edu.iq	mailto:hiba.mahdi2203m@ihcoedu.uobaghdad.edu.iq	VERB
iajs-3885	20	29	https://orcid.org/0000-0003-0235-2352	https://orcid.org/0000-0003-0235-2352	PROPN
iajs-3885	20	30	mailto:ali.t.m@ihcoedu.uobaghdad.edu.iq	mailto:ali.t.m@ihcoedu.uobaghdad.edu.iq	PROPN
iajs-3885	20	31	https://orcid.org/0000-0002-2242-9698	https://orcid.org/0000-0002-2242-9698	PROPN
iajs-3885	20	32	mailto:uymadaki84@gmail.com	mailto:uymadaki84@gmail.com	PROPN
iajs-3885	20	33	https://orcid.org/0009-0006-2943-4840	https://orcid.org/0009-0006-2943-4840	PROPN
iajs-3885	20	34	mailto:hiba.mahdi2203m@ihcoedu.uobaghdad.edu.iq	mailto:hiba.mahdi2203m@ihcoedu.uobaghdad.edu.iq	VERB
iajs-3885	20	35	https://orcid.org/0000-0003-0235-2352	https://orcid.org/0000-0003-0235-2352	PROPN
iajs-3885	20	36	mailto:ali.t.m@ihcoedu.uobaghdad.edu.iq	mailto:ali.t.m@ihcoedu.uobaghdad.edu.iq	PROPN
iajs-3885	20	37	https://orcid.org/0000-0002-2242-9698	https://orcid.org/0000-0002-2242-9698	PROPN
iajs-3885	20	38	mailto:uymadaki84@gmail.com	mailto:uymadaki84@gmail.com	PROPN
iajs-3885	20	39	https://orcid.org/0009-0006-2943-4840	https://orcid.org/0009-0006-2943-4840	PROPN
iajs-3885	20	40	mailto:hiba.mahdi2203m@ihcoedu.uobaghdad.edu.iq	mailto:hiba.mahdi2203m@ihcoedu.uobaghdad.edu.iq	VERB
iajs-3885	20	41	https://orcid.org/0000-0003-0235-2352	https://orcid.org/0000-0003-0235-2352	PROPN
iajs-3885	20	42	mailto:ali.t.m@ihcoedu.uobaghdad.edu.iq	mailto:ali.t.m@ihcoedu.uobaghdad.edu.iq	PROPN
iajs-3885	20	43	https://orcid.org/0000-0002-2242-9698	https://orcid.org/0000-0002-2242-9698	PROPN
iajs-3885	20	44	mailto:uymadaki84@gmail.com	mailto:uymadaki84@gmail.com	PROPN
iajs-3885	20	45	https://orcid.org/0009-0006-2943-4840	https://orcid.org/0009-0006-2943-4840	PROPN
iajs-3885	20	46	mailto:hiba.mahdi2203m@ihcoedu.uobaghdad.edu.iq	mailto:hiba.mahdi2203m@ihcoedu.uobaghdad.edu.iq	VERB
iajs-3885	20	47	https://orcid.org/0000-0003-0235-2352	https://orcid.org/0000-0003-0235-2352	PROPN
iajs-3885	20	48	mailto:ali.t.m@ihcoedu.uobaghdad.edu.iq	mailto:ali.t.m@ihcoedu.uobaghdad.edu.iq	PROPN
iajs-3885	20	49	https://orcid.org/0000-0002-2242-9698	https://orcid.org/0000-0002-2242-9698	PROPN
iajs-3885	20	50	mailto:uymadaki84@gmail.com	mailto:uymadaki84@gmail.com	PROPN
iajs-3885	20	51	https://orcid.org/0009-0006-2943-4840	https://orcid.org/0009-0006-2943-4840	PROPN
iajs-3885	20	52	mailto:hiba.mahdi2203m@ihcoedu.uobaghdad.edu.iq	mailto:hiba.mahdi2203m@ihcoedu.uobaghdad.edu.iq	VERB
iajs-3885	20	53	https://orcid.org/0000-0003-0235-2352	https://orcid.org/0000-0003-0235-2352	PROPN
iajs-3885	20	54	mailto:ali.t.m@ihcoedu.uobaghdad.edu.iq	mailto:ali.t.m@ihcoedu.uobaghdad.edu.iq	PROPN
iajs-3885	20	55	https://orcid.org/0000-0002-2242-9698	https://orcid.org/0000-0002-2242-9698	PROPN
iajs-3885	20	56	mailto:uymadaki84@gmail.com	mailto:uymadaki84@gmail.com	PROPN
iajs-3885	20	57	ihjpas	ihjpas	PROPN
iajs-3885	20	58	.	.	PUNCT
iajs-3885	21	1	2025	2025	NUM
iajs-3885	21	2	,	,	PUNCT
iajs-3885	21	3	38(3	38(3	NUM
iajs-3885	21	4	)	)	PUNCT
iajs-3885	21	5	337	337	NUM
iajs-3885	21	6	create	create	VERB
iajs-3885	21	7	statistical	statistical	ADJ
iajs-3885	21	8	distributions	distribution	NOUN
iajs-3885	21	9	through	through	ADP
iajs-3885	21	10	the	the	DET
iajs-3885	21	11	survival	survival	NOUN
iajs-3885	21	12	function	function	NOUN
iajs-3885	21	13	and	and	CCONJ
iajs-3885	21	14	applied	apply	VERB
iajs-3885	21	15	it	it	PRON
iajs-3885	21	16	to	to	PART
iajs-3885	21	17	find	find	VERB
iajs-3885	21	18	the	the	DET
iajs-3885	21	19	three	three	NUM
iajs-3885	21	20	parameters	parameter	NOUN
iajs-3885	21	21	of	of	ADP
iajs-3885	21	22	exponential	exponential	NOUN
iajs-3885	21	23	–	–	PUNCT
iajs-3885	21	24	weibull	weibull	NOUN
iajs-3885	21	25	lifetime	lifetime	NOUN
iajs-3885	21	26	distribution	distribution	NOUN
iajs-3885	21	27	.	.	PUNCT
iajs-3885	22	1	(	(	PUNCT
iajs-3885	22	2	2	2	X
iajs-3885	22	3	)	)	PUNCT
iajs-3885	22	4	used	use	VERB
iajs-3885	22	5	the	the	DET
iajs-3885	22	6	survival	survival	NOUN
iajs-3885	22	7	mixed	mix	VERB
iajs-3885	22	8	method	method	NOUN
iajs-3885	22	9	to	to	PART
iajs-3885	22	10	present	present	VERB
iajs-3885	22	11	serial	serial	ADJ
iajs-3885	22	12	weibull	weibull	PROPN
iajs-3885	22	13	rayleigh	rayleigh	PROPN
iajs-3885	22	14	distribution	distribution	NOUN
iajs-3885	22	15	.	.	PUNCT
iajs-3885	23	1	(	(	PUNCT
iajs-3885	23	2	3	3	X
iajs-3885	23	3	)	)	PUNCT
iajs-3885	23	4	and	and	CCONJ
iajs-3885	23	5	(	(	PUNCT
iajs-3885	23	6	4	4	X
iajs-3885	23	7	)	)	PUNCT
iajs-3885	23	8	involved	involve	VERB
iajs-3885	23	9	the	the	DET
iajs-3885	23	10	same	same	ADJ
iajs-3885	23	11	technique	technique	NOUN
iajs-3885	23	12	with	with	ADP
iajs-3885	23	13	two	two	NUM
iajs-3885	23	14	stages	stage	NOUN
iajs-3885	23	15	to	to	PART
iajs-3885	23	16	get	get	VERB
iajs-3885	23	17	three	three	NUM
iajs-3885	23	18	parameters	parameter	NOUN
iajs-3885	23	19	of	of	ADP
iajs-3885	23	20	the	the	DET
iajs-3885	23	21	new	new	ADJ
iajs-3885	23	22	mixture	mixture	NOUN
iajs-3885	23	23	distribution	distribution	NOUN
iajs-3885	23	24	.	.	PUNCT
iajs-3885	24	1	(	(	PUNCT
iajs-3885	24	2	5	5	NUM
iajs-3885	24	3	)	)	PUNCT
iajs-3885	24	4	and	and	CCONJ
iajs-3885	24	5	(	(	PUNCT
iajs-3885	24	6	6	6	NUM
iajs-3885	24	7	)	)	PUNCT
iajs-3885	24	8	produced	produce	VERB
iajs-3885	24	9	the	the	DET
iajs-3885	24	10	inverse	inverse	NOUN
iajs-3885	24	11	exponential	exponential	NOUN
iajs-3885	24	12	rayleigh	rayleigh	NOUN
iajs-3885	24	13	distribution	distribution	NOUN
iajs-3885	24	14	and	and	CCONJ
iajs-3885	24	15	estimated	estimate	VERB
iajs-3885	24	16	the	the	DET
iajs-3885	24	17	distribution	distribution	NOUN
iajs-3885	24	18	parameters	parameter	NOUN
iajs-3885	24	19	with	with	ADP
iajs-3885	24	20	application	application	NOUN
iajs-3885	24	21	.	.	PUNCT
iajs-3885	25	1	(	(	PUNCT
iajs-3885	25	2	7	7	X
iajs-3885	25	3	)	)	PUNCT
iajs-3885	25	4	created	create	VERB
iajs-3885	25	5	an	an	DET
iajs-3885	25	6	exponential	exponential	ADJ
iajs-3885	25	7	weibull	weibull	NOUN
iajs-3885	25	8	distribution	distribution	NOUN
iajs-3885	25	9	with	with	ADP
iajs-3885	25	10	shape	shape	NOUN
iajs-3885	25	11	parameter	parameter	NOUN
iajs-3885	25	12	and	and	CCONJ
iajs-3885	25	13	scale	scale	NOUN
iajs-3885	25	14	parameter	parameter	NOUN
iajs-3885	25	15	,	,	PUNCT
iajs-3885	25	16	the	the	DET
iajs-3885	25	17	cumulative	cumulative	ADJ
iajs-3885	25	18	distribution	distribution	NOUN
iajs-3885	25	19	and	and	CCONJ
iajs-3885	25	20	probability	probability	NOUN
iajs-3885	25	21	density	density	NOUN
iajs-3885	25	22	functions	function	NOUN
iajs-3885	25	23	were	be	AUX
iajs-3885	25	24	as	as	SCONJ
iajs-3885	25	25	follows	follow	VERB
iajs-3885	25	26	:	:	PUNCT
iajs-3885	25	27	(	(	PUNCT
iajs-3885	25	28	)	)	PUNCT
iajs-3885	25	29	(	(	PUNCT
iajs-3885	25	30	)	)	PUNCT
iajs-3885	25	31	(	(	PUNCT
iajs-3885	25	32	1	1	X
iajs-3885	25	33	)	)	PUNCT
iajs-3885	25	34	(	(	PUNCT
iajs-3885	25	35	)	)	PUNCT
iajs-3885	25	36	(	(	PUNCT
iajs-3885	25	37	)	)	PUNCT
iajs-3885	25	38	(	(	PUNCT
iajs-3885	25	39	)	)	PUNCT
iajs-3885	25	40	(	(	PUNCT
iajs-3885	25	41	2	2	X
iajs-3885	25	42	)	)	PUNCT
iajs-3885	25	43	adding	add	VERB
iajs-3885	25	44	a	a	DET
iajs-3885	25	45	parameter	parameter	NOUN
iajs-3885	25	46	to	to	ADP
iajs-3885	25	47	distributions	distribution	NOUN
iajs-3885	25	48	is	be	AUX
iajs-3885	25	49	considered	consider	VERB
iajs-3885	25	50	one	one	NUM
iajs-3885	25	51	of	of	ADP
iajs-3885	25	52	the	the	DET
iajs-3885	25	53	important	important	ADJ
iajs-3885	25	54	things	thing	NOUN
iajs-3885	25	55	to	to	PART
iajs-3885	25	56	produce	produce	VERB
iajs-3885	25	57	new	new	ADJ
iajs-3885	25	58	distributions	distribution	NOUN
iajs-3885	25	59	that	that	PRON
iajs-3885	25	60	are	be	AUX
iajs-3885	25	61	more	more	ADV
iajs-3885	25	62	suitable	suitable	ADJ
iajs-3885	25	63	for	for	ADP
iajs-3885	25	64	data	datum	NOUN
iajs-3885	25	65	analysis	analysis	NOUN
iajs-3885	25	66	.	.	PUNCT
iajs-3885	26	1	weighting	weighting	NOUN
iajs-3885	26	2	,	,	PUNCT
iajs-3885	26	3	generalization	generalization	NOUN
iajs-3885	26	4	,	,	PUNCT
iajs-3885	26	5	and	and	CCONJ
iajs-3885	26	6	exponentiated	exponentiated	PROPN
iajs-3885	26	7	are	be	AUX
iajs-3885	26	8	among	among	ADP
iajs-3885	26	9	the	the	DET
iajs-3885	26	10	common	common	ADJ
iajs-3885	26	11	methods	method	NOUN
iajs-3885	26	12	of	of	ADP
iajs-3885	26	13	adding	add	VERB
iajs-3885	26	14	a	a	DET
iajs-3885	26	15	parameter	parameter	NOUN
iajs-3885	26	16	to	to	ADP
iajs-3885	26	17	distributions	distribution	NOUN
iajs-3885	26	18	that	that	SCONJ
iajs-3885	26	19	researchers	researcher	NOUN
iajs-3885	26	20	have	have	AUX
iajs-3885	26	21	used	use	VERB
iajs-3885	26	22	to	to	PART
iajs-3885	26	23	produce	produce	VERB
iajs-3885	26	24	new	new	ADJ
iajs-3885	26	25	distributions	distribution	NOUN
iajs-3885	26	26	over	over	ADP
iajs-3885	26	27	the	the	DET
iajs-3885	26	28	past	past	ADJ
iajs-3885	26	29	decades	decade	NOUN
iajs-3885	26	30	(	(	PUNCT
iajs-3885	26	31	8	8	NUM
iajs-3885	26	32	-	-	SYM
iajs-3885	26	33	14	14	NUM
iajs-3885	26	34	)	)	PUNCT
iajs-3885	26	35	introduced	introduce	VERB
iajs-3885	26	36	a	a	DET
iajs-3885	26	37	new	new	ADJ
iajs-3885	26	38	method	method	NOUN
iajs-3885	26	39	for	for	ADP
iajs-3885	26	40	generating	generate	VERB
iajs-3885	26	41	a	a	DET
iajs-3885	26	42	family	family	NOUN
iajs-3885	26	43	of	of	ADP
iajs-3885	26	44	distributions	distribution	NOUN
iajs-3885	26	45	by	by	ADP
iajs-3885	26	46	adding	add	VERB
iajs-3885	26	47	a	a	DET
iajs-3885	26	48	scale	scale	NOUN
iajs-3885	26	49	parameter	parameter	NOUN
iajs-3885	26	50	,	,	PUNCT
iajs-3885	26	51	which	which	PRON
iajs-3885	26	52	is	be	AUX
iajs-3885	26	53	called	call	VERB
iajs-3885	26	54	the	the	DET
iajs-3885	26	55	alpha	alpha	NOUN
iajs-3885	26	56	power	power	NOUN
iajs-3885	26	57	transformation	transformation	NOUN
iajs-3885	26	58	method	method	NOUN
iajs-3885	26	59	(	(	PUNCT
iajs-3885	26	60	)	)	PUNCT
iajs-3885	26	61	,	,	PUNCT
iajs-3885	26	62	and	and	CCONJ
iajs-3885	26	63	the	the	DET
iajs-3885	26	64	cumulative	cumulative	ADJ
iajs-3885	26	65	distribution	distribution	NOUN
iajs-3885	26	66	(	(	PUNCT
iajs-3885	26	67	cdf	cdf	PROPN
iajs-3885	26	68	)	)	PUNCT
iajs-3885	26	69	and	and	CCONJ
iajs-3885	26	70	probability	probability	NOUN
iajs-3885	26	71	density	density	NOUN
iajs-3885	26	72	(	(	PUNCT
iajs-3885	26	73	pdf	pdf	NOUN
iajs-3885	26	74	)	)	PUNCT
iajs-3885	26	75	functions	function	NOUN
iajs-3885	26	76	of	of	ADP
iajs-3885	26	77	(	(	PUNCT
iajs-3885	26	78	apt	apt	ADJ
iajs-3885	26	79	)	)	PUNCT
iajs-3885	26	80	family	family	NOUN
iajs-3885	26	81	distribution	distribution	NOUN
iajs-3885	26	82	are	be	AUX
iajs-3885	26	83	considered	consider	VERB
iajs-3885	26	84	as	as	ADP
iajs-3885	26	85	the	the	DET
iajs-3885	26	86	following	follow	VERB
iajs-3885	26	87	formals	formal	NOUN
iajs-3885	26	88	:	:	PUNCT
iajs-3885	26	89	(	(	PUNCT
iajs-3885	26	90	)	)	PUNCT
iajs-3885	26	91	{	{	PUNCT
iajs-3885	26	92	(	(	PUNCT
iajs-3885	26	93	)	)	PUNCT
iajs-3885	26	94	(	(	PUNCT
iajs-3885	26	95	)	)	PUNCT
iajs-3885	26	96	(	(	PUNCT
iajs-3885	26	97	3	3	X
iajs-3885	26	98	)	)	PUNCT
iajs-3885	26	99	(	(	PUNCT
iajs-3885	26	100	)	)	PUNCT
iajs-3885	26	101	{	{	PUNCT
iajs-3885	26	102	(	(	PUNCT
iajs-3885	26	103	)	)	PUNCT
iajs-3885	26	104	(	(	PUNCT
iajs-3885	26	105	)	)	PUNCT
iajs-3885	26	106	(	(	PUNCT
iajs-3885	26	107	)	)	PUNCT
iajs-3885	26	108	(	(	PUNCT
iajs-3885	26	109	)	)	PUNCT
iajs-3885	26	110	(	(	PUNCT
iajs-3885	26	111	4	4	NUM
iajs-3885	26	112	)	)	PUNCT
iajs-3885	26	113	(	(	PUNCT
iajs-3885	26	114	15	15	NUM
iajs-3885	26	115	)	)	PUNCT
iajs-3885	26	116	applied	apply	VERB
iajs-3885	26	117	(	(	PUNCT
iajs-3885	26	118	)	)	PUNCT
iajs-3885	26	119	to	to	PART
iajs-3885	26	120	introduce	introduce	VERB
iajs-3885	26	121	distribution	distribution	NOUN
iajs-3885	26	122	.	.	PUNCT
iajs-3885	27	1	(	(	PUNCT
iajs-3885	27	2	16	16	NUM
iajs-3885	27	3	)	)	PUNCT
iajs-3885	27	4	employed	employ	VERB
iajs-3885	27	5	the	the	DET
iajs-3885	27	6	αpower	αpow	ADJ
iajs-3885	27	7	technique	technique	NOUN
iajs-3885	27	8	to	to	ADP
iajs-3885	27	9	presenter	presenter	NOUN
iajs-3885	27	10	alpha	alpha	NOUN
iajs-3885	27	11	-	-	PUNCT
iajs-3885	27	12	power	power	NOUN
iajs-3885	27	13	pareto	pareto	ADJ
iajs-3885	27	14	distribution	distribution	NOUN
iajs-3885	27	15	.	.	PUNCT
iajs-3885	28	1	(	(	PUNCT
iajs-3885	28	2	17	17	NUM
iajs-3885	28	3	,	,	PUNCT
iajs-3885	28	4	(	(	PUNCT
iajs-3885	28	5	18	18	NUM
iajs-3885	28	6	)	)	PUNCT
iajs-3885	28	7	,	,	PUNCT
iajs-3885	28	8	and	and	CCONJ
iajs-3885	28	9	(	(	PUNCT
iajs-3885	28	10	19	19	NUM
iajs-3885	28	11	)	)	PUNCT
iajs-3885	28	12	proposed	propose	VERB
iajs-3885	28	13	a	a	DET
iajs-3885	28	14	new	new	ADJ
iajs-3885	28	15	family	family	NOUN
iajs-3885	28	16	of	of	ADP
iajs-3885	28	17	generating	generate	VERB
iajs-3885	28	18	lifetime	lifetime	NOUN
iajs-3885	28	19	distributions	distribution	NOUN
iajs-3885	28	20	by	by	ADP
iajs-3885	28	21	extending	extend	VERB
iajs-3885	28	22	the	the	DET
iajs-3885	28	23	alpha	alpha	NOUN
iajs-3885	28	24	power	power	NOUN
iajs-3885	28	25	transformation	transformation	NOUN
iajs-3885	28	26	method	method	NOUN
iajs-3885	28	27	.	.	PUNCT
iajs-3885	29	1	(	(	PUNCT
iajs-3885	29	2	20	20	NUM
iajs-3885	29	3	)	)	PUNCT
iajs-3885	29	4	presented	present	VERB
iajs-3885	29	5	a	a	DET
iajs-3885	29	6	new	new	ADJ
iajs-3885	29	7	alpha	alpha	NOUN
iajs-3885	29	8	-	-	PUNCT
iajs-3885	29	9	power	power	NOUN
iajs-3885	29	10	teissier	teissier	NOUN
iajs-3885	29	11	distribution	distribution	NOUN
iajs-3885	29	12	.	.	PUNCT
iajs-3885	30	1	(	(	PUNCT
iajs-3885	30	2	21	21	NUM
iajs-3885	30	3	)	)	PUNCT
iajs-3885	30	4	used	use	VERB
iajs-3885	30	5	the	the	DET
iajs-3885	30	6	proposed	propose	VERB
iajs-3885	30	7	method	method	NOUN
iajs-3885	30	8	to	to	PART
iajs-3885	30	9	produce	produce	VERB
iajs-3885	30	10	transformed	transform	VERB
iajs-3885	30	11	aradhana	aradhana	PROPN
iajs-3885	30	12	distributions	distribution	NOUN
iajs-3885	30	13	.	.	PUNCT
iajs-3885	31	1	(	(	PUNCT
iajs-3885	31	2	22	22	NUM
iajs-3885	31	3	)	)	PUNCT
iajs-3885	31	4	explored	explore	VERB
iajs-3885	31	5	a	a	DET
iajs-3885	31	6	new	new	ADJ
iajs-3885	31	7	probability	probability	NOUN
iajs-3885	31	8	distribution	distribution	NOUN
iajs-3885	31	9	called	call	VERB
iajs-3885	31	10	exponentiated	exponentiated	ADJ
iajs-3885	31	11	inverse	inverse	PROPN
iajs-3885	31	12	rayleigh	rayleigh	PROPN
iajs-3885	31	13	.	.	PUNCT
iajs-3885	32	1	(	(	PUNCT
iajs-3885	32	2	23	23	NUM
iajs-3885	32	3	)	)	PUNCT
iajs-3885	32	4	proposed	propose	VERB
iajs-3885	32	5	a	a	DET
iajs-3885	32	6	newly	newly	ADV
iajs-3885	32	7	generated	generate	VERB
iajs-3885	32	8	family	family	NOUN
iajs-3885	32	9	known	know	VERB
iajs-3885	32	10	as	as	ADP
iajs-3885	32	11	g	g	NOUN
iajs-3885	32	12	-	-	PUNCT
iajs-3885	32	13	alpha	alpha	NOUN
iajs-3885	32	14	power	power	NOUN
iajs-3885	32	15	transformation	transformation	NOUN
iajs-3885	32	16	distributions	distribution	NOUN
iajs-3885	32	17	.	.	PUNCT
iajs-3885	33	1	(	(	PUNCT
iajs-3885	33	2	24	24	NUM
iajs-3885	33	3	)	)	PUNCT
iajs-3885	33	4	came	come	VERB
iajs-3885	33	5	out	out	ADP
iajs-3885	33	6	with	with	ADP
iajs-3885	33	7	a	a	DET
iajs-3885	33	8	new	new	ADJ
iajs-3885	33	9	class	class	NOUN
iajs-3885	33	10	called	call	VERB
iajs-3885	33	11	discrete	discrete	ADJ
iajs-3885	33	12	alpha	alpha	NOUN
iajs-3885	33	13	-	-	PUNCT
iajs-3885	33	14	power	power	NOUN
iajs-3885	33	15	distribution	distribution	NOUN
iajs-3885	33	16	.	.	PUNCT
iajs-3885	34	1	the	the	DET
iajs-3885	34	2	technique	technique	NOUN
iajs-3885	34	3	of	of	ADP
iajs-3885	34	4	generalization	generalization	NOUN
iajs-3885	34	5	was	be	AUX
iajs-3885	34	6	applied	apply	VERB
iajs-3885	34	7	to	to	ADP
iajs-3885	34	8	output	output	VERB
iajs-3885	34	9	with	with	ADP
iajs-3885	34	10	a	a	DET
iajs-3885	34	11	new	new	ADJ
iajs-3885	34	12	collection	collection	NOUN
iajs-3885	34	13	of	of	ADP
iajs-3885	34	14	distribution	distribution	NOUN
iajs-3885	34	15	alphapower	alphapower	NOUN
iajs-3885	34	16	families	family	NOUN
iajs-3885	34	17	(	(	PUNCT
iajs-3885	34	18	25	25	NUM
iajs-3885	34	19	)	)	PUNCT
iajs-3885	34	20	,	,	PUNCT
iajs-3885	34	21	(	(	PUNCT
iajs-3885	34	22	26	26	NUM
iajs-3885	34	23	)	)	PUNCT
iajs-3885	34	24	,	,	PUNCT
iajs-3885	34	25	(	(	PUNCT
iajs-3885	34	26	27	27	NUM
iajs-3885	34	27	)	)	PUNCT
iajs-3885	34	28	,	,	PUNCT
iajs-3885	34	29	(	(	PUNCT
iajs-3885	34	30	28	28	NUM
iajs-3885	34	31	)	)	PUNCT
iajs-3885	34	32	,	,	PUNCT
iajs-3885	34	33	(	(	PUNCT
iajs-3885	34	34	29	29	NUM
iajs-3885	34	35	)	)	PUNCT
iajs-3885	34	36	,	,	PUNCT
iajs-3885	34	37	and	and	CCONJ
iajs-3885	34	38	(	(	PUNCT
iajs-3885	34	39	30	30	NUM
iajs-3885	34	40	)	)	PUNCT
iajs-3885	34	41	.	.	PUNCT
iajs-3885	35	1	statistically	statistically	ADV
iajs-3885	35	2	,	,	PUNCT
iajs-3885	35	3	power	power	NOUN
iajs-3885	35	4	transformations	transformation	NOUN
iajs-3885	35	5	can	can	AUX
iajs-3885	35	6	be	be	AUX
iajs-3885	35	7	considered	consider	VERB
iajs-3885	35	8	one	one	NUM
iajs-3885	35	9	of	of	ADP
iajs-3885	35	10	the	the	DET
iajs-3885	35	11	processes	process	NOUN
iajs-3885	35	12	applied	apply	VERB
iajs-3885	35	13	to	to	PART
iajs-3885	35	14	create	create	VERB
iajs-3885	35	15	transformations	transformation	NOUN
iajs-3885	35	16	of	of	ADP
iajs-3885	35	17	data	datum	NOUN
iajs-3885	35	18	so	so	SCONJ
iajs-3885	35	19	that	that	SCONJ
iajs-3885	35	20	they	they	PRON
iajs-3885	35	21	are	be	AUX
iajs-3885	35	22	monotonic	monotonic	ADJ
iajs-3885	35	23	by	by	ADP
iajs-3885	35	24	using	use	VERB
iajs-3885	35	25	the	the	DET
iajs-3885	35	26	properties	property	NOUN
iajs-3885	35	27	of	of	ADP
iajs-3885	35	28	power	power	NOUN
iajs-3885	35	29	functions	function	NOUN
iajs-3885	35	30	,	,	PUNCT
iajs-3885	35	31	which	which	PRON
iajs-3885	35	32	are	be	AUX
iajs-3885	35	33	common	common	ADJ
iajs-3885	35	34	methods	method	NOUN
iajs-3885	35	35	used	use	VERB
iajs-3885	35	36	through	through	ADP
iajs-3885	35	37	which	which	PRON
iajs-3885	35	38	the	the	DET
iajs-3885	35	39	variance	variance	NOUN
iajs-3885	35	40	of	of	ADP
iajs-3885	35	41	the	the	DET
iajs-3885	35	42	data	data	NOUN
iajs-3885	35	43	is	be	AUX
iajs-3885	35	44	stabilized	stabilize	VERB
iajs-3885	35	45	so	so	SCONJ
iajs-3885	35	46	that	that	SCONJ
iajs-3885	35	47	it	it	PRON
iajs-3885	35	48	is	be	AUX
iajs-3885	35	49	more	more	ADV
iajs-3885	35	50	similar	similar	ADJ
iajs-3885	35	51	to	to	ADP
iajs-3885	35	52	a	a	DET
iajs-3885	35	53	normal	normal	ADJ
iajs-3885	35	54	distribution	distribution	NOUN
iajs-3885	35	55	.	.	PUNCT
iajs-3885	36	1	the	the	DET
iajs-3885	36	2	following	follow	VERB
iajs-3885	36	3	movements	movement	NOUN
iajs-3885	36	4	in	in	ADP
iajs-3885	36	5	this	this	DET
iajs-3885	36	6	paper	paper	NOUN
iajs-3885	36	7	include	include	VERB
iajs-3885	36	8	the	the	DET
iajs-3885	36	9	mathematical	mathematical	ADJ
iajs-3885	36	10	construction	construction	NOUN
iajs-3885	36	11	of	of	ADP
iajs-3885	36	12	the	the	DET
iajs-3885	36	13	basic	basic	ADJ
iajs-3885	36	14	functions	function	NOUN
iajs-3885	36	15	of	of	ADP
iajs-3885	36	16	the	the	DET
iajs-3885	36	17	new	new	ADJ
iajs-3885	36	18	apewd	apewd	NOUN
iajs-3885	36	19	,	,	PUNCT
iajs-3885	36	20	each	each	DET
iajs-3885	36	21	cdf	cdf	PROPN
iajs-3885	36	22	,	,	PUNCT
iajs-3885	36	23	pdf	pdf	NOUN
iajs-3885	36	24	,	,	PUNCT
iajs-3885	36	25	survival	survival	NOUN
iajs-3885	36	26	,	,	PUNCT
iajs-3885	36	27	and	and	CCONJ
iajs-3885	36	28	hazard	hazard	NOUN
iajs-3885	36	29	functions	function	NOUN
iajs-3885	36	30	,	,	PUNCT
iajs-3885	36	31	and	and	CCONJ
iajs-3885	36	32	the	the	DET
iajs-3885	36	33	derivation	derivation	NOUN
iajs-3885	36	34	of	of	ADP
iajs-3885	36	35	the	the	DET
iajs-3885	36	36	statistical	statistical	ADJ
iajs-3885	36	37	properties	property	NOUN
iajs-3885	36	38	of	of	ADP
iajs-3885	36	39	the	the	DET
iajs-3885	36	40	distribution	distribution	NOUN
iajs-3885	36	41	is	be	AUX
iajs-3885	36	42	appended	append	VERB
iajs-3885	36	43	next	next	ADV
iajs-3885	36	44	.	.	PUNCT
iajs-3885	37	1	2	2	X
iajs-3885	37	2	.	.	X
iajs-3885	37	3	structure	structure	NOUN
iajs-3885	37	4	of	of	ADP
iajs-3885	37	5	new	new	ADJ
iajs-3885	37	6	apewd	apewd	NOUN
iajs-3885	37	7	for	for	ADP
iajs-3885	37	8	a	a	DET
iajs-3885	37	9	random	random	ADJ
iajs-3885	37	10	variable	variable	NOUN
iajs-3885	37	11	and	and	CCONJ
iajs-3885	37	12	is	be	AUX
iajs-3885	37	13	the	the	DET
iajs-3885	37	14	scale	scale	NOUN
iajs-3885	37	15	parameter	parameter	NOUN
iajs-3885	37	16	,	,	PUNCT
iajs-3885	37	17	are	be	AUX
iajs-3885	37	18	shape	shape	NOUN
iajs-3885	37	19	parameters	parameter	NOUN
iajs-3885	37	20	.	.	PUNCT
iajs-3885	38	1	the	the	DET
iajs-3885	38	2	(	(	PUNCT
iajs-3885	38	3	cdf	cdf	PROPN
iajs-3885	38	4	)	)	PUNCT
iajs-3885	38	5	and	and	CCONJ
iajs-3885	38	6	(	(	PUNCT
iajs-3885	38	7	pdf	pdf	NOUN
iajs-3885	38	8	)	)	PUNCT
iajs-3885	38	9	of	of	ADP
iajs-3885	38	10	the	the	DET
iajs-3885	38	11	new	new	ADJ
iajs-3885	38	12	(	(	PUNCT
iajs-3885	38	13	)	)	PUNCT
iajs-3885	38	14	are	be	AUX
iajs-3885	38	15	:	:	PUNCT
iajs-3885	38	16	(	(	PUNCT
iajs-3885	38	17	)	)	PUNCT
iajs-3885	38	18	{	{	PUNCT
iajs-3885	38	19	(	(	PUNCT
iajs-3885	38	20	)	)	PUNCT
iajs-3885	38	21	(	(	PUNCT
iajs-3885	38	22	)	)	PUNCT
iajs-3885	38	23	(	(	PUNCT
iajs-3885	38	24	5	5	X
iajs-3885	38	25	)	)	PUNCT
iajs-3885	38	26	ihjpas	ihjpa	NOUN
iajs-3885	38	27	.	.	PUNCT
iajs-3885	39	1	2025	2025	NUM
iajs-3885	39	2	,	,	PUNCT
iajs-3885	39	3	38(3	38(3	NUM
iajs-3885	39	4	)	)	PUNCT
iajs-3885	39	5	338	338	NUM
iajs-3885	39	6	(	(	PUNCT
iajs-3885	39	7	)	)	PUNCT
iajs-3885	39	8	{	{	PUNCT
iajs-3885	39	9	(	(	PUNCT
iajs-3885	39	10	)	)	PUNCT
iajs-3885	39	11	(	(	PUNCT
iajs-3885	39	12	)	)	PUNCT
iajs-3885	39	13	(	(	PUNCT
iajs-3885	39	14	)	)	PUNCT
iajs-3885	39	15	(	(	PUNCT
iajs-3885	39	16	)	)	PUNCT
iajs-3885	39	17	(	(	PUNCT
iajs-3885	39	18	)	)	PUNCT
iajs-3885	39	19	(	(	PUNCT
iajs-3885	39	20	6	6	NUM
iajs-3885	39	21	)	)	PUNCT
iajs-3885	39	22	(	(	PUNCT
iajs-3885	39	23	)	)	PUNCT
iajs-3885	39	24	is	be	AUX
iajs-3885	39	25	actually	actually	ADV
iajs-3885	39	26	a	a	DET
iajs-3885	39	27	probability	probability	NOUN
iajs-3885	39	28	density	density	NOUN
iajs-3885	39	29	function	function	NOUN
iajs-3885	39	30	,	,	PUNCT
iajs-3885	39	31	since	since	SCONJ
iajs-3885	39	32	,	,	PUNCT
iajs-3885	39	33	,	,	PUNCT
iajs-3885	39	34	which	which	PRON
iajs-3885	39	35	implies	imply	VERB
iajs-3885	39	36	that	that	PRON
iajs-3885	39	37	(	(	PUNCT
iajs-3885	39	38	)	)	PUNCT
iajs-3885	39	39	.	.	PUNCT
iajs-3885	40	1	now	now	ADV
iajs-3885	40	2	,	,	PUNCT
iajs-3885	40	3	to	to	PART
iajs-3885	40	4	prove	prove	VERB
iajs-3885	40	5	that	that	DET
iajs-3885	40	6	∫	∫	PROPN
iajs-3885	40	7	(	(	PUNCT
iajs-3885	40	8	)	)	PUNCT
iajs-3885	40	9	,	,	PUNCT
iajs-3885	40	10	∫	∫	PROPN
iajs-3885	40	11	(	(	PUNCT
iajs-3885	40	12	)	)	PUNCT
iajs-3885	40	13	∫	∫	PROPN
iajs-3885	40	14	(	(	PUNCT
iajs-3885	40	15	)	)	PUNCT
iajs-3885	40	16	(	(	PUNCT
iajs-3885	40	17	)	)	PUNCT
iajs-3885	40	18	(	(	PUNCT
iajs-3885	40	19	)	)	PUNCT
iajs-3885	40	20	(	(	PUNCT
iajs-3885	40	21	)	)	PUNCT
iajs-3885	40	22	(	(	PUNCT
iajs-3885	40	23	)	)	PUNCT
iajs-3885	40	24	(	(	PUNCT
iajs-3885	40	25	)	)	PUNCT
iajs-3885	40	26	based	base	VERB
iajs-3885	40	27	on	on	ADP
iajs-3885	40	28	what	what	PRON
iajs-3885	40	29	was	be	AUX
iajs-3885	40	30	stated	state	VERB
iajs-3885	40	31	above	above	ADV
iajs-3885	40	32	,	,	PUNCT
iajs-3885	40	33	the	the	DET
iajs-3885	40	34	survival	survival	NOUN
iajs-3885	40	35	and	and	CCONJ
iajs-3885	40	36	hazard	hazard	NOUN
iajs-3885	40	37	functions	function	NOUN
iajs-3885	40	38	can	can	AUX
iajs-3885	40	39	be	be	AUX
iajs-3885	40	40	defined	define	VERB
iajs-3885	40	41	as	as	SCONJ
iajs-3885	40	42	follows	follow	VERB
iajs-3885	40	43	:	:	PUNCT
iajs-3885	40	44	(	(	PUNCT
iajs-3885	40	45	)	)	PUNCT
iajs-3885	40	46	(	(	PUNCT
iajs-3885	40	47	)	)	PUNCT
iajs-3885	40	48	{	{	PUNCT
iajs-3885	40	49	(	(	PUNCT
iajs-3885	40	50	(	(	PUNCT
iajs-3885	40	51	)	)	PUNCT
iajs-3885	40	52	)	)	PUNCT
iajs-3885	41	1	(	(	PUNCT
iajs-3885	41	2	)	)	PUNCT
iajs-3885	41	3	(	(	PUNCT
iajs-3885	41	4	7	7	NUM
iajs-3885	41	5	)	)	PUNCT
iajs-3885	41	6	(	(	PUNCT
iajs-3885	41	7	)	)	PUNCT
iajs-3885	41	8	(	(	PUNCT
iajs-3885	41	9	)	)	PUNCT
iajs-3885	41	10	(	(	PUNCT
iajs-3885	41	11	)	)	PUNCT
iajs-3885	41	12	{	{	PUNCT
iajs-3885	41	13	(	(	PUNCT
iajs-3885	41	14	)	)	PUNCT
iajs-3885	41	15	(	(	PUNCT
iajs-3885	41	16	)	)	PUNCT
iajs-3885	41	17	(	(	PUNCT
iajs-3885	41	18	)	)	PUNCT
iajs-3885	41	19	(	(	PUNCT
iajs-3885	41	20	)	)	PUNCT
iajs-3885	41	21	(	(	PUNCT
iajs-3885	41	22	)	)	PUNCT
iajs-3885	41	23	(	(	PUNCT
iajs-3885	41	24	)	)	PUNCT
iajs-3885	41	25	(	(	PUNCT
iajs-3885	41	26	)	)	PUNCT
iajs-3885	41	27	(	(	PUNCT
iajs-3885	41	28	8)	8)	NUM
iajs-3885	41	29	2.1	2.1	NUM
iajs-3885	41	30	.	.	PUNCT
iajs-3885	42	1	the	the	DET
iajs-3885	42	2	shapes	shape	NOUN
iajs-3885	42	3	of	of	ADP
iajs-3885	42	4	(	(	PUNCT
iajs-3885	42	5	apewd	apewd	NOUN
iajs-3885	42	6	)	)	PUNCT
iajs-3885	42	7	knowing	know	VERB
iajs-3885	42	8	the	the	DET
iajs-3885	42	9	shape	shape	NOUN
iajs-3885	42	10	of	of	ADP
iajs-3885	42	11	the	the	DET
iajs-3885	42	12	(	(	PUNCT
iajs-3885	42	13	apewd	apewd	NOUN
iajs-3885	42	14	)	)	PUNCT
iajs-3885	42	15	helps	help	VERB
iajs-3885	42	16	us	we	PRON
iajs-3885	42	17	understand	understand	VERB
iajs-3885	42	18	the	the	DET
iajs-3885	42	19	behavior	behavior	NOUN
iajs-3885	42	20	and	and	CCONJ
iajs-3885	42	21	approach	approach	NOUN
iajs-3885	42	22	of	of	ADP
iajs-3885	42	23	distribution	distribution	NOUN
iajs-3885	42	24	functions	function	NOUN
iajs-3885	42	25	in	in	ADP
iajs-3885	42	26	dealing	deal	VERB
iajs-3885	42	27	with	with	ADP
iajs-3885	42	28	data	datum	NOUN
iajs-3885	42	29	,	,	PUNCT
iajs-3885	42	30	in	in	ADP
iajs-3885	42	31	order	order	NOUN
iajs-3885	42	32	to	to	PART
iajs-3885	42	33	understand	understand	VERB
iajs-3885	42	34	this	this	PRON
iajs-3885	42	35	mathematically	mathematically	ADV
iajs-3885	42	36	,	,	PUNCT
iajs-3885	42	37	especially	especially	ADV
iajs-3885	42	38	through	through	ADP
iajs-3885	42	39	the	the	DET
iajs-3885	42	40	limit	limit	NOUN
iajs-3885	42	41	values	value	NOUN
iajs-3885	42	42	of	of	ADP
iajs-3885	42	43	the	the	DET
iajs-3885	42	44	probability	probability	NOUN
iajs-3885	42	45	density	density	NOUN
iajs-3885	42	46	and	and	CCONJ
iajs-3885	42	47	hazard	hazard	NOUN
iajs-3885	42	48	functions	function	NOUN
iajs-3885	42	49	when	when	SCONJ
iajs-3885	42	50	(	(	PUNCT
iajs-3885	42	51	)	)	PUNCT
iajs-3885	42	52	.	.	PUNCT
iajs-3885	43	1	(	(	PUNCT
iajs-3885	43	2	)	)	PUNCT
iajs-3885	43	3	(	(	PUNCT
iajs-3885	43	4	(	(	PUNCT
iajs-3885	43	5	)	)	PUNCT
iajs-3885	43	6	(	(	PUNCT
iajs-3885	43	7	)	)	PUNCT
iajs-3885	43	8	(	(	PUNCT
iajs-3885	43	9	)	)	PUNCT
iajs-3885	43	10	(	(	PUNCT
iajs-3885	43	11	)	)	PUNCT
iajs-3885	43	12	)	)	PUNCT
iajs-3885	43	13	(	(	PUNCT
iajs-3885	43	14	)	)	PUNCT
iajs-3885	43	15	(	(	PUNCT
iajs-3885	43	16	)	)	PUNCT
iajs-3885	43	17	(	(	PUNCT
iajs-3885	43	18	)	)	PUNCT
iajs-3885	43	19	(	(	PUNCT
iajs-3885	43	20	(	(	PUNCT
iajs-3885	43	21	)	)	PUNCT
iajs-3885	43	22	(	(	PUNCT
iajs-3885	43	23	)	)	PUNCT
iajs-3885	43	24	(	(	PUNCT
iajs-3885	43	25	)	)	PUNCT
iajs-3885	43	26	)	)	PUNCT
iajs-3885	43	27	applied	apply	VERB
iajs-3885	43	28	l'hospital	l'hospital	PROPN
iajs-3885	43	29	's	's	PART
iajs-3885	43	30	rule	rule	NOUN
iajs-3885	43	31	and	and	CCONJ
iajs-3885	43	32	as	as	SCONJ
iajs-3885	43	33	we	we	PRON
iajs-3885	43	34	continue	continue	VERB
iajs-3885	43	35	to	to	PART
iajs-3885	43	36	derive	derive	VERB
iajs-3885	43	37	for	for	ADP
iajs-3885	43	38	the	the	DET
iajs-3885	43	39	result	result	NOUN
iajs-3885	43	40	of	of	ADP
iajs-3885	43	41	the	the	DET
iajs-3885	43	42	numerator	numerator	NOUN
iajs-3885	43	43	will	will	AUX
iajs-3885	43	44	be	be	AUX
iajs-3885	43	45	equal	equal	ADJ
iajs-3885	43	46	constant	constant	ADJ
iajs-3885	43	47	as	as	SCONJ
iajs-3885	43	48	considered	consider	VERB
iajs-3885	43	49	an	an	DET
iajs-3885	43	50	integer	integer	NOUN
iajs-3885	43	51	value	value	NOUN
iajs-3885	43	52	for	for	ADP
iajs-3885	43	53	and	and	CCONJ
iajs-3885	43	54	as	as	SCONJ
iajs-3885	43	55	contained	contain	VERB
iajs-3885	43	56	to	to	PART
iajs-3885	43	57	derive	derive	VERB
iajs-3885	43	58	the	the	DET
iajs-3885	43	59	denominator	denominator	NOUN
iajs-3885	43	60	is	be	AUX
iajs-3885	43	61	always	always	ADV
iajs-3885	43	62	contains	contain	VERB
iajs-3885	43	63	the	the	DET
iajs-3885	43	64	exponential	exponential	ADJ
iajs-3885	43	65	part	part	NOUN
iajs-3885	43	66	which	which	PRON
iajs-3885	43	67	equal	equal	ADJ
iajs-3885	43	68	to	to	ADP
iajs-3885	43	69	(	(	PUNCT
iajs-3885	43	70	)	)	PUNCT
iajs-3885	43	71	.	.	PUNCT
iajs-3885	44	1	the	the	DET
iajs-3885	44	2	final	final	ADJ
iajs-3885	44	3	result	result	NOUN
iajs-3885	44	4	of	of	ADP
iajs-3885	44	5	the	the	DET
iajs-3885	44	6	limit	limit	NOUN
iajs-3885	44	7	is	be	AUX
iajs-3885	44	8	a	a	DET
iajs-3885	44	9	constant	constant	ADJ
iajs-3885	44	10	divide	divide	NOUN
iajs-3885	44	11	by	by	ADP
iajs-3885	44	12	which	which	PRON
iajs-3885	44	13	equal	equal	ADJ
iajs-3885	44	14	to	to	ADP
iajs-3885	44	15	zero	zero	NUM
iajs-3885	44	16	(	(	PUNCT
iajs-3885	44	17	)	)	PUNCT
iajs-3885	44	18	(	(	PUNCT
iajs-3885	44	19	figures	figure	NOUN
iajs-3885	44	20	1	1	NUM
iajs-3885	44	21	-	-	SYM
iajs-3885	44	22	4	4	NUM
iajs-3885	44	23	)	)	PUNCT
iajs-3885	44	24	.	.	PUNCT
iajs-3885	45	1	ihjpas	ihjpas	PROPN
iajs-3885	45	2	.	.	PUNCT
iajs-3885	46	1	2025	2025	NUM
iajs-3885	46	2	,	,	PUNCT
iajs-3885	46	3	38(3	38(3	NUM
iajs-3885	46	4	)	)	PUNCT
iajs-3885	46	5	339	339	NUM
iajs-3885	46	6	figure	figure	NOUN
iajs-3885	46	7	1	1	NUM
iajs-3885	46	8	.	.	PUNCT
iajs-3885	46	9	plots	plot	NOUN
iajs-3885	46	10	of	of	ADP
iajs-3885	46	11	cdf	cdf	PROPN
iajs-3885	46	12	for	for	ADP
iajs-3885	46	13	different	different	ADJ
iajs-3885	46	14	values	value	NOUN
iajs-3885	46	15	of	of	ADP
iajs-3885	46	16	figure	figure	NOUN
iajs-3885	46	17	2	2	NUM
iajs-3885	46	18	.	.	PUNCT
iajs-3885	46	19	plots	plot	NOUN
iajs-3885	46	20	of	of	ADP
iajs-3885	46	21	pdf	pdf	NOUN
iajs-3885	46	22	for	for	ADP
iajs-3885	46	23	different	different	ADJ
iajs-3885	46	24	values	value	NOUN
iajs-3885	46	25	of	of	ADP
iajs-3885	46	26	figure	figure	NOUN
iajs-3885	46	27	3	3	NUM
iajs-3885	46	28	.	.	PUNCT
iajs-3885	46	29	plots	plot	NOUN
iajs-3885	46	30	of	of	ADP
iajs-3885	46	31	s(x	s(x	PROPN
iajs-3885	46	32	)	)	PUNCT
iajs-3885	46	33	for	for	ADP
iajs-3885	46	34	different	different	ADJ
iajs-3885	46	35	values	value	NOUN
iajs-3885	46	36	of	of	ADP
iajs-3885	46	37	figure	figure	NOUN
iajs-3885	46	38	4	4	NUM
iajs-3885	46	39	.	.	PUNCT
iajs-3885	46	40	plots	plot	NOUN
iajs-3885	46	41	of	of	ADP
iajs-3885	46	42	h(x	h(x	PROPN
iajs-3885	46	43	)	)	PUNCT
iajs-3885	46	44	for	for	ADP
iajs-3885	46	45	different	different	ADJ
iajs-3885	46	46	values	value	NOUN
iajs-3885	46	47	of	of	ADP
iajs-3885	46	48	2.2	2.2	NUM
iajs-3885	46	49	expanding	expand	VERB
iajs-3885	46	50	the	the	DET
iajs-3885	46	51	probability	probability	NOUN
iajs-3885	46	52	density	density	NOUN
iajs-3885	46	53	and	and	CCONJ
iajs-3885	46	54	cumulative	cumulative	ADJ
iajs-3885	46	55	functions	function	NOUN
iajs-3885	46	56	in	in	ADP
iajs-3885	46	57	order	order	NOUN
iajs-3885	46	58	to	to	PART
iajs-3885	46	59	easily	easily	ADV
iajs-3885	46	60	deal	deal	VERB
iajs-3885	46	61	with	with	ADP
iajs-3885	46	62	the	the	DET
iajs-3885	46	63	cumulative	cumulative	ADJ
iajs-3885	46	64	and	and	CCONJ
iajs-3885	46	65	probability	probability	NOUN
iajs-3885	46	66	density	density	NOUN
iajs-3885	46	67	functions	function	NOUN
iajs-3885	47	1	,	,	PUNCT
iajs-3885	47	2	we	we	PRON
iajs-3885	47	3	use	use	VERB
iajs-3885	47	4	some	some	DET
iajs-3885	47	5	mathematical	mathematical	ADJ
iajs-3885	47	6	formulas	formula	NOUN
iajs-3885	47	7	to	to	PART
iajs-3885	47	8	expand	expand	VERB
iajs-3885	47	9	the	the	DET
iajs-3885	47	10	two	two	NUM
iajs-3885	47	11	functions	function	NOUN
iajs-3885	47	12	to	to	PART
iajs-3885	47	13	facilitate	facilitate	VERB
iajs-3885	47	14	the	the	DET
iajs-3885	47	15	process	process	NOUN
iajs-3885	47	16	of	of	ADP
iajs-3885	47	17	finding	find	VERB
iajs-3885	47	18	the	the	DET
iajs-3885	47	19	statistical	statistical	ADJ
iajs-3885	47	20	properties	property	NOUN
iajs-3885	47	21	of	of	ADP
iajs-3885	47	22	apewd	apewd	NOUN
iajs-3885	47	23	distribution	distribution	NOUN
iajs-3885	47	24	.	.	PUNCT
iajs-3885	48	1	(	(	PUNCT
iajs-3885	48	2	)	)	PUNCT
iajs-3885	48	3	(	(	PUNCT
iajs-3885	48	4	)	)	PUNCT
iajs-3885	48	5	(	(	PUNCT
iajs-3885	48	6	(	(	PUNCT
iajs-3885	48	7	)	)	PUNCT
iajs-3885	48	8	)	)	PUNCT
iajs-3885	49	1	(	(	PUNCT
iajs-3885	49	2	)	)	PUNCT
iajs-3885	49	3	(	(	PUNCT
iajs-3885	49	4	)	)	PUNCT
iajs-3885	49	5	(	(	PUNCT
iajs-3885	49	6	)	)	PUNCT
iajs-3885	49	7	(	(	PUNCT
iajs-3885	49	8	)	)	PUNCT
iajs-3885	49	9	(	(	PUNCT
iajs-3885	49	10	)	)	PUNCT
iajs-3885	49	11	(	(	PUNCT
iajs-3885	49	12	)	)	PUNCT
iajs-3885	49	13	(	(	PUNCT
iajs-3885	49	14	)	)	PUNCT
iajs-3885	49	15	(	(	PUNCT
iajs-3885	49	16	)	)	PUNCT
iajs-3885	49	17	(	(	PUNCT
iajs-3885	49	18	)	)	PUNCT
iajs-3885	49	19	(	(	PUNCT
iajs-3885	49	20	)	)	PUNCT
iajs-3885	49	21	(	(	PUNCT
iajs-3885	49	22	)	)	PUNCT
iajs-3885	49	23	(	(	PUNCT
iajs-3885	49	24	)	)	PUNCT
iajs-3885	49	25	(	(	PUNCT
iajs-3885	49	26	)	)	PUNCT
iajs-3885	49	27	(	(	PUNCT
iajs-3885	49	28	)	)	PUNCT
iajs-3885	49	29	(	(	PUNCT
iajs-3885	49	30	)	)	PUNCT
iajs-3885	49	31	(	(	PUNCT
iajs-3885	49	32	)	)	PUNCT
iajs-3885	49	33	(	(	PUNCT
iajs-3885	49	34	)	)	PUNCT
iajs-3885	49	35	(	(	PUNCT
iajs-3885	49	36	)	)	PUNCT
iajs-3885	49	37	(	(	PUNCT
iajs-3885	49	38	)	)	PUNCT
iajs-3885	49	39	(	(	PUNCT
iajs-3885	49	40	)	)	PUNCT
iajs-3885	49	41	(	(	PUNCT
iajs-3885	49	42	)	)	PUNCT
iajs-3885	49	43	(	(	PUNCT
iajs-3885	49	44	)	)	PUNCT
iajs-3885	49	45	∑	∑	PUNCT
iajs-3885	49	46	(	(	PUNCT
iajs-3885	49	47	)	)	PUNCT
iajs-3885	49	48	(	(	PUNCT
iajs-3885	49	49	(	(	PUNCT
iajs-3885	49	50	)	)	PUNCT
iajs-3885	49	51	)	)	PUNCT
iajs-3885	49	52	(	(	PUNCT
iajs-3885	49	53	)	)	PUNCT
iajs-3885	49	54	(	(	PUNCT
iajs-3885	49	55	)	)	PUNCT
iajs-3885	49	56	∑	∑	PUNCT
iajs-3885	49	57	(	(	PUNCT
iajs-3885	49	58	)	)	PUNCT
iajs-3885	49	59	(	(	PUNCT
iajs-3885	49	60	(	(	PUNCT
iajs-3885	49	61	)	)	PUNCT
iajs-3885	49	62	)	)	PUNCT
iajs-3885	49	63	(	(	PUNCT
iajs-3885	49	64	)	)	PUNCT
iajs-3885	49	65	(	(	PUNCT
iajs-3885	49	66	)	)	PUNCT
iajs-3885	49	67	(	(	PUNCT
iajs-3885	49	68	)	)	PUNCT
iajs-3885	49	69	(	(	PUNCT
iajs-3885	49	70	)	)	PUNCT
iajs-3885	49	71	(	(	PUNCT
iajs-3885	49	72	)	)	PUNCT
iajs-3885	49	73	(	(	PUNCT
iajs-3885	49	74	)	)	PUNCT
iajs-3885	49	75	(	(	PUNCT
iajs-3885	49	76	)	)	PUNCT
iajs-3885	49	77	∑	∑	PROPN
iajs-3885	49	78	(	(	PUNCT
iajs-3885	49	79	)	)	PUNCT
iajs-3885	49	80	(	(	PUNCT
iajs-3885	49	81	)	)	PUNCT
iajs-3885	49	82	ihjpas	ihjpas	PROPN
iajs-3885	49	83	.	.	PUNCT
iajs-3885	50	1	2025	2025	NUM
iajs-3885	50	2	,	,	PUNCT
iajs-3885	50	3	38(3	38(3	NUM
iajs-3885	50	4	)	)	PUNCT
iajs-3885	50	5	340	340	NUM
iajs-3885	50	6	(	(	PUNCT
iajs-3885	50	7	)	)	PUNCT
iajs-3885	50	8	∑∑	∑∑	PROPN
iajs-3885	50	9	(	(	PUNCT
iajs-3885	50	10	)	)	PUNCT
iajs-3885	50	11	(	(	PUNCT
iajs-3885	50	12	(	(	PUNCT
iajs-3885	50	13	)	)	PUNCT
iajs-3885	50	14	)	)	PUNCT
iajs-3885	50	15	(	(	PUNCT
iajs-3885	50	16	)	)	PUNCT
iajs-3885	50	17	(	(	PUNCT
iajs-3885	50	18	)	)	PUNCT
iajs-3885	50	19	(	(	PUNCT
iajs-3885	50	20	)	)	PUNCT
iajs-3885	50	21	(	(	PUNCT
iajs-3885	50	22	)	)	PUNCT
iajs-3885	50	23	(	(	PUNCT
iajs-3885	50	24	)	)	PUNCT
iajs-3885	50	25	∑∑	∑∑	PROPN
iajs-3885	50	26	(	(	PUNCT
iajs-3885	50	27	)	)	PUNCT
iajs-3885	50	28	(	(	PUNCT
iajs-3885	50	29	(	(	PUNCT
iajs-3885	50	30	)	)	PUNCT
iajs-3885	50	31	)	)	PUNCT
iajs-3885	50	32	(	(	PUNCT
iajs-3885	50	33	)	)	PUNCT
iajs-3885	50	34	(	(	PUNCT
iajs-3885	50	35	(	(	PUNCT
iajs-3885	50	36	)	)	PUNCT
iajs-3885	50	37	)	)	PUNCT
iajs-3885	50	38	(	(	PUNCT
iajs-3885	50	39	)	)	PUNCT
iajs-3885	50	40	(	(	PUNCT
iajs-3885	50	41	)	)	PUNCT
iajs-3885	50	42	∑∑	∑∑	PROPN
iajs-3885	50	43	(	(	PUNCT
iajs-3885	50	44	)	)	PUNCT
iajs-3885	50	45	(	(	PUNCT
iajs-3885	50	46	(	(	PUNCT
iajs-3885	50	47	)	)	PUNCT
iajs-3885	50	48	)	)	PUNCT
iajs-3885	50	49	(	(	PUNCT
iajs-3885	50	50	)	)	PUNCT
iajs-3885	50	51	(	(	PUNCT
iajs-3885	50	52	)	)	PUNCT
iajs-3885	50	53	(	(	PUNCT
iajs-3885	50	54	(	(	PUNCT
iajs-3885	50	55	)	)	PUNCT
iajs-3885	50	56	)	)	PUNCT
iajs-3885	50	57	(	(	PUNCT
iajs-3885	50	58	)	)	PUNCT
iajs-3885	50	59	(	(	PUNCT
iajs-3885	50	60	)	)	PUNCT
iajs-3885	50	61	(	(	PUNCT
iajs-3885	50	62	9	9	NUM
iajs-3885	50	63	)	)	PUNCT
iajs-3885	50	64	(	(	PUNCT
iajs-3885	50	65	)	)	PUNCT
iajs-3885	50	66	(	(	PUNCT
iajs-3885	50	67	)	)	PUNCT
iajs-3885	50	68	(	(	PUNCT
iajs-3885	50	69	)	)	PUNCT
iajs-3885	50	70	(	(	PUNCT
iajs-3885	50	71	∑	∑	PUNCT
iajs-3885	50	72	(	(	PUNCT
iajs-3885	50	73	)	)	PUNCT
iajs-3885	50	74	(	(	PUNCT
iajs-3885	50	75	(	(	PUNCT
iajs-3885	50	76	)	)	PUNCT
iajs-3885	50	77	)	)	PUNCT
iajs-3885	50	78	(	(	PUNCT
iajs-3885	50	79	)	)	PUNCT
iajs-3885	50	80	)	)	PUNCT
iajs-3885	50	81	∑	∑	PUNCT
iajs-3885	50	82	(	(	PUNCT
iajs-3885	50	83	)	)	PUNCT
iajs-3885	50	84	(	(	PUNCT
iajs-3885	50	85	)	)	PUNCT
iajs-3885	50	86	(	(	PUNCT
iajs-3885	50	87	∑	∑	PUNCT
iajs-3885	50	88	∑	∑	INTJ
iajs-3885	50	89	(	(	PUNCT
iajs-3885	50	90	)	)	PUNCT
iajs-3885	50	91	(	(	PUNCT
iajs-3885	50	92	(	(	PUNCT
iajs-3885	50	93	)	)	PUNCT
iajs-3885	50	94	)	)	PUNCT
iajs-3885	50	95	)	)	PUNCT
iajs-3885	51	1	∑	∑	PUNCT
iajs-3885	51	2	∑	∑	PUNCT
iajs-3885	51	3	(	(	PUNCT
iajs-3885	51	4	)	)	PUNCT
iajs-3885	51	5	(	(	PUNCT
iajs-3885	51	6	(	(	PUNCT
iajs-3885	51	7	)	)	PUNCT
iajs-3885	51	8	)	)	PUNCT
iajs-3885	52	1	(	(	PUNCT
iajs-3885	52	2	)	)	PUNCT
iajs-3885	52	3	(	(	PUNCT
iajs-3885	52	4	)	)	PUNCT
iajs-3885	52	5	(	(	PUNCT
iajs-3885	52	6	10	10	NUM
iajs-3885	52	7	)	)	PUNCT
iajs-3885	52	8	3	3	NUM
iajs-3885	52	9	.	.	NOUN
iajs-3885	52	10	mathematical	mathematical	ADJ
iajs-3885	52	11	and	and	CCONJ
iajs-3885	52	12	statistical	statistical	ADJ
iajs-3885	52	13	properties	property	NOUN
iajs-3885	52	14	of	of	ADP
iajs-3885	52	15	(	(	PUNCT
iajs-3885	52	16	apewd	apewd	NOUN
iajs-3885	52	17	)	)	PUNCT
iajs-3885	52	18	3.1	3.1	NUM
iajs-3885	52	19	.	.	PUNCT
iajs-3885	53	1	the	the	DET
iajs-3885	53	2	mode	mode	NOUN
iajs-3885	53	3	this	this	PRON
iajs-3885	53	4	is	be	AUX
iajs-3885	53	5	done	do	VERB
iajs-3885	53	6	by	by	ADP
iajs-3885	53	7	finding	find	VERB
iajs-3885	53	8	the	the	DET
iajs-3885	53	9	point	point	NOUN
iajs-3885	53	10	that	that	SCONJ
iajs-3885	53	11	the	the	DET
iajs-3885	53	12	probability	probability	NOUN
iajs-3885	53	13	density	density	NOUN
iajs-3885	53	14	function	function	NOUN
iajs-3885	53	15	reaches	reach	VERB
iajs-3885	53	16	its	its	PRON
iajs-3885	53	17	maximum	maximum	ADJ
iajs-3885	53	18	value	value	NOUN
iajs-3885	53	19	;	;	PUNCT
iajs-3885	53	20	therefore	therefore	ADV
iajs-3885	53	21	,	,	PUNCT
iajs-3885	53	22	the	the	DET
iajs-3885	53	23	mode	mode	NOUN
iajs-3885	53	24	is	be	AUX
iajs-3885	53	25	calculated	calculate	VERB
iajs-3885	53	26	as	as	SCONJ
iajs-3885	53	27	follows	follow	VERB
iajs-3885	53	28	:	:	PUNCT
iajs-3885	53	29	(	(	PUNCT
iajs-3885	53	30	)	)	PUNCT
iajs-3885	53	31	(	(	PUNCT
iajs-3885	53	32	(	(	PUNCT
iajs-3885	53	33	)	)	PUNCT
iajs-3885	53	34	)	)	PUNCT
iajs-3885	54	1	(	(	PUNCT
iajs-3885	54	2	)	)	PUNCT
iajs-3885	54	3	(	(	PUNCT
iajs-3885	54	4	)	)	PUNCT
iajs-3885	54	5	(	(	PUNCT
iajs-3885	54	6	)	)	PUNCT
iajs-3885	54	7	(	(	PUNCT
iajs-3885	54	8	)	)	PUNCT
iajs-3885	54	9	∑	∑	PROPN
iajs-3885	54	10	(	(	PUNCT
iajs-3885	54	11	)	)	PUNCT
iajs-3885	54	12	(	(	PUNCT
iajs-3885	54	13	(	(	PUNCT
iajs-3885	54	14	)	)	PUNCT
iajs-3885	54	15	)	)	PUNCT
iajs-3885	54	16	(	(	PUNCT
iajs-3885	54	17	)	)	PUNCT
iajs-3885	54	18	∑	∑	PROPN
iajs-3885	54	19	(	(	PUNCT
iajs-3885	54	20	)	)	PUNCT
iajs-3885	54	21	(	(	PUNCT
iajs-3885	54	22	(	(	PUNCT
iajs-3885	54	23	)	)	PUNCT
iajs-3885	54	24	)	)	PUNCT
iajs-3885	55	1	(	(	PUNCT
iajs-3885	55	2	(	(	PUNCT
iajs-3885	55	3	)	)	PUNCT
iajs-3885	55	4	)	)	PUNCT
iajs-3885	55	5	(	(	PUNCT
iajs-3885	55	6	)	)	PUNCT
iajs-3885	55	7	∑	∑	PROPN
iajs-3885	55	8	(	(	PUNCT
iajs-3885	55	9	)	)	PUNCT
iajs-3885	55	10	(	(	PUNCT
iajs-3885	55	11	(	(	PUNCT
iajs-3885	55	12	)	)	PUNCT
iajs-3885	55	13	)	)	PUNCT
iajs-3885	56	1	(	(	PUNCT
iajs-3885	56	2	(	(	PUNCT
iajs-3885	56	3	)	)	PUNCT
iajs-3885	56	4	(	(	PUNCT
iajs-3885	56	5	)	)	PUNCT
iajs-3885	56	6	)	)	PUNCT
iajs-3885	56	7	divided	divide	VERB
iajs-3885	56	8	both	both	DET
iajs-3885	56	9	sides	side	NOUN
iajs-3885	56	10	of	of	ADP
iajs-3885	56	11	the	the	DET
iajs-3885	56	12	above	above	ADJ
iajs-3885	56	13	equation	equation	NOUN
iajs-3885	56	14	by	by	ADP
iajs-3885	56	15	(	(	PUNCT
iajs-3885	56	16	)	)	PUNCT
iajs-3885	56	17	∑	∑	PROPN
iajs-3885	56	18	(	(	PUNCT
iajs-3885	56	19	)	)	PUNCT
iajs-3885	56	20	(	(	PUNCT
iajs-3885	56	21	(	(	PUNCT
iajs-3885	56	22	)	)	PUNCT
iajs-3885	56	23	)	)	PUNCT
iajs-3885	56	24	(	(	PUNCT
iajs-3885	56	25	)	)	PUNCT
iajs-3885	56	26	∑	∑	PROPN
iajs-3885	56	27	(	(	PUNCT
iajs-3885	56	28	)	)	PUNCT
iajs-3885	56	29	(	(	PUNCT
iajs-3885	56	30	(	(	PUNCT
iajs-3885	56	31	)	)	PUNCT
iajs-3885	56	32	)	)	PUNCT
iajs-3885	57	1	(	(	PUNCT
iajs-3885	57	2	)	)	PUNCT
iajs-3885	57	3	(	(	PUNCT
iajs-3885	57	4	∑	∑	PUNCT
iajs-3885	57	5	∑	∑	PROPN
iajs-3885	57	6	∑	∑	PUNCT
iajs-3885	57	7	(	(	PUNCT
iajs-3885	57	8	)	)	PUNCT
iajs-3885	57	9	∑	∑	ADP
iajs-3885	57	10	∑	∑	PROPN
iajs-3885	57	11	∑	∑	PUNCT
iajs-3885	57	12	(	(	PUNCT
iajs-3885	57	13	)	)	PUNCT
iajs-3885	57	14	)	)	PUNCT
iajs-3885	57	15	(	(	PUNCT
iajs-3885	57	16	11	11	X
iajs-3885	57	17	)	)	PUNCT
iajs-3885	57	18	ihjpas	ihjpa	NOUN
iajs-3885	57	19	.	.	PUNCT
iajs-3885	58	1	2025	2025	NUM
iajs-3885	58	2	,	,	PUNCT
iajs-3885	58	3	38(3	38(3	NUM
iajs-3885	58	4	)	)	PUNCT
iajs-3885	58	5	341	341	NUM
iajs-3885	58	6	3.2	3.2	NUM
iajs-3885	58	7	.	.	PUNCT
iajs-3885	59	1	the	the	DET
iajs-3885	59	2	quantile	quantile	NOUN
iajs-3885	59	3	function	function	VERB
iajs-3885	59	4	the	the	DET
iajs-3885	59	5	quantile	quantile	ADJ
iajs-3885	59	6	function	function	NOUN
iajs-3885	59	7	is	be	AUX
iajs-3885	59	8	considered	consider	VERB
iajs-3885	59	9	very	very	ADV
iajs-3885	59	10	important	important	ADJ
iajs-3885	59	11	from	from	ADP
iajs-3885	59	12	a	a	DET
iajs-3885	59	13	theoretical	theoretical	ADJ
iajs-3885	59	14	and	and	CCONJ
iajs-3885	59	15	applied	apply	VERB
iajs-3885	59	16	perspective	perspective	NOUN
iajs-3885	59	17	.	.	PUNCT
iajs-3885	60	1	theoretically	theoretically	ADV
iajs-3885	60	2	,	,	PUNCT
iajs-3885	60	3	it	it	PRON
iajs-3885	60	4	is	be	AUX
iajs-3885	60	5	possible	possible	ADJ
iajs-3885	60	6	to	to	PART
iajs-3885	60	7	find	find	VERB
iajs-3885	60	8	some	some	DET
iajs-3885	60	9	statistical	statistical	ADJ
iajs-3885	60	10	properties	property	NOUN
iajs-3885	60	11	,	,	PUNCT
iajs-3885	60	12	such	such	ADJ
iajs-3885	60	13	as	as	ADP
iajs-3885	60	14	skewness	skewness	NOUN
iajs-3885	60	15	and	and	CCONJ
iajs-3885	60	16	kurtosis	kurtosis	NOUN
iajs-3885	60	17	,	,	PUNCT
iajs-3885	60	18	and	and	CCONJ
iajs-3885	60	19	in	in	ADP
iajs-3885	60	20	application	application	NOUN
iajs-3885	60	21	to	to	PART
iajs-3885	60	22	generate	generate	VERB
iajs-3885	60	23	data	datum	NOUN
iajs-3885	60	24	that	that	PRON
iajs-3885	60	25	is	be	AUX
iajs-3885	60	26	used	use	VERB
iajs-3885	60	27	in	in	ADP
iajs-3885	60	28	simulation	simulation	NOUN
iajs-3885	60	29	.	.	PUNCT
iajs-3885	61	1	(	(	PUNCT
iajs-3885	61	2	)	)	PUNCT
iajs-3885	61	3	(	(	PUNCT
iajs-3885	61	4	)	)	PUNCT
iajs-3885	61	5	(	(	PUNCT
iajs-3885	61	6	)	)	PUNCT
iajs-3885	61	7	(	(	PUNCT
iajs-3885	61	8	)	)	PUNCT
iajs-3885	61	9	(	(	PUNCT
iajs-3885	61	10	)	)	PUNCT
iajs-3885	61	11	(	(	PUNCT
iajs-3885	61	12	)	)	PUNCT
iajs-3885	61	13	(	(	PUNCT
iajs-3885	61	14	)	)	PUNCT
iajs-3885	61	15	(	(	PUNCT
iajs-3885	61	16	)	)	PUNCT
iajs-3885	61	17	(	(	PUNCT
iajs-3885	61	18	)	)	PUNCT
iajs-3885	61	19	(	(	PUNCT
iajs-3885	61	20	(	(	PUNCT
iajs-3885	61	21	)	)	PUNCT
iajs-3885	61	22	)	)	PUNCT
iajs-3885	62	1	(	(	PUNCT
iajs-3885	62	2	(	(	PUNCT
iajs-3885	62	3	)	)	PUNCT
iajs-3885	62	4	)	)	PUNCT
iajs-3885	62	5	(	(	PUNCT
iajs-3885	62	6	)	)	PUNCT
iajs-3885	62	7	(	(	PUNCT
iajs-3885	62	8	)	)	PUNCT
iajs-3885	62	9	(	(	PUNCT
iajs-3885	62	10	(	(	PUNCT
iajs-3885	62	11	(	(	PUNCT
iajs-3885	62	12	)	)	PUNCT
iajs-3885	62	13	)	)	PUNCT
iajs-3885	63	1	(	(	PUNCT
iajs-3885	63	2	)	)	PUNCT
iajs-3885	63	3	)	)	PUNCT
iajs-3885	63	4	(	(	PUNCT
iajs-3885	63	5	)	)	PUNCT
iajs-3885	63	6	(	(	PUNCT
iajs-3885	63	7	(	(	PUNCT
iajs-3885	63	8	(	(	PUNCT
iajs-3885	63	9	(	(	PUNCT
iajs-3885	63	10	)	)	PUNCT
iajs-3885	63	11	)	)	PUNCT
iajs-3885	63	12	(	(	PUNCT
iajs-3885	63	13	)	)	PUNCT
iajs-3885	63	14	)	)	PUNCT
iajs-3885	63	15	)	)	PUNCT
iajs-3885	64	1	(	(	PUNCT
iajs-3885	64	2	(	(	PUNCT
iajs-3885	64	3	(	(	PUNCT
iajs-3885	64	4	(	(	PUNCT
iajs-3885	64	5	)	)	PUNCT
iajs-3885	64	6	)	)	PUNCT
iajs-3885	64	7	(	(	PUNCT
iajs-3885	64	8	)	)	PUNCT
iajs-3885	64	9	)	)	PUNCT
iajs-3885	64	10	)	)	PUNCT
iajs-3885	64	11	to	to	PART
iajs-3885	64	12	find	find	VERB
iajs-3885	64	13	the	the	DET
iajs-3885	64	14	roots	root	NOUN
iajs-3885	64	15	of	of	ADP
iajs-3885	64	16	the	the	DET
iajs-3885	64	17	above	above	ADJ
iajs-3885	64	18	nonlinear	nonlinear	ADJ
iajs-3885	64	19	equation	equation	NOUN
iajs-3885	64	20	,	,	PUNCT
iajs-3885	64	21	which	which	PRON
iajs-3885	64	22	is	be	AUX
iajs-3885	64	23	represented	represent	VERB
iajs-3885	64	24	by	by	ADP
iajs-3885	64	25	the	the	DET
iajs-3885	64	26	values	value	NOUN
iajs-3885	64	27	of	of	ADP
iajs-3885	64	28	x	x	X
iajs-3885	64	29	,	,	PUNCT
iajs-3885	64	30	special	special	ADJ
iajs-3885	64	31	numerical	numerical	ADJ
iajs-3885	64	32	methods	method	NOUN
iajs-3885	64	33	are	be	AUX
iajs-3885	64	34	needed	need	VERB
iajs-3885	64	35	to	to	PART
iajs-3885	64	36	find	find	VERB
iajs-3885	64	37	a	a	DET
iajs-3885	64	38	solution	solution	NOUN
iajs-3885	64	39	to	to	ADP
iajs-3885	64	40	this	this	DET
iajs-3885	64	41	nonlinear	nonlinear	ADJ
iajs-3885	64	42	equation	equation	NOUN
iajs-3885	64	43	.	.	PUNCT
iajs-3885	65	1	command	command	NOUN
iajs-3885	65	2	syntax	syntax	NOUN
iajs-3885	65	3	<	<	X
iajs-3885	65	4	fsolve	fsolve	X
iajs-3885	65	5	>	>	X
iajs-3885	65	6	in	in	ADP
iajs-3885	65	7	matlab	matlab	PROPN
iajs-3885	65	8	2018a	2018a	NUM
iajs-3885	65	9	was	be	AUX
iajs-3885	65	10	used	use	VERB
iajs-3885	65	11	to	to	PART
iajs-3885	65	12	find	find	VERB
iajs-3885	65	13	x	x	PUNCT
iajs-3885	65	14	with	with	ADP
iajs-3885	65	15	initial	initial	ADJ
iajs-3885	65	16	values	value	NOUN
iajs-3885	65	17	of	of	ADP
iajs-3885	65	18	parameters	parameter	NOUN
iajs-3885	65	19	(	(	PUNCT
iajs-3885	65	20	)	)	PUNCT
iajs-3885	65	21	,	,	PUNCT
iajs-3885	65	22	and	and	CCONJ
iajs-3885	65	23	in	in	ADP
iajs-3885	65	24	order	order	NOUN
iajs-3885	65	25	to	to	PART
iajs-3885	65	26	understand	understand	VERB
iajs-3885	65	27	the	the	DET
iajs-3885	65	28	issue	issue	NOUN
iajs-3885	65	29	thoroughly	thoroughly	ADV
iajs-3885	65	30	,	,	PUNCT
iajs-3885	65	31	we	we	PRON
iajs-3885	65	32	assume	assume	VERB
iajs-3885	65	33	some	some	DET
iajs-3885	65	34	values	value	NOUN
iajs-3885	65	35	for	for	ADP
iajs-3885	65	36	the	the	DET
iajs-3885	65	37	parameter	parameter	NOUN
iajs-3885	65	38	(	(	PUNCT
iajs-3885	65	39	)	)	PUNCT
iajs-3885	65	40	.	.	PUNCT
iajs-3885	66	1	let	let	VERB
iajs-3885	66	2	,	,	PUNCT
iajs-3885	66	3	then	then	ADV
iajs-3885	66	4	we	we	PRON
iajs-3885	66	5	have	have	VERB
iajs-3885	66	6	(	(	PUNCT
iajs-3885	66	7	(	(	PUNCT
iajs-3885	66	8	(	(	PUNCT
iajs-3885	66	9	(	(	PUNCT
iajs-3885	66	10	)	)	PUNCT
iajs-3885	66	11	)	)	PUNCT
iajs-3885	66	12	(	(	PUNCT
iajs-3885	66	13	)	)	PUNCT
iajs-3885	66	14	)	)	PUNCT
iajs-3885	66	15	)	)	PUNCT
iajs-3885	67	1	(	(	PUNCT
iajs-3885	67	2	)	)	PUNCT
iajs-3885	67	3	(	(	PUNCT
iajs-3885	67	4	(	(	PUNCT
iajs-3885	67	5	(	(	PUNCT
iajs-3885	67	6	(	(	PUNCT
iajs-3885	67	7	)	)	PUNCT
iajs-3885	67	8	)	)	PUNCT
iajs-3885	67	9	(	(	PUNCT
iajs-3885	67	10	)	)	PUNCT
iajs-3885	67	11	)	)	PUNCT
iajs-3885	67	12	)	)	PUNCT
iajs-3885	67	13	(	(	PUNCT
iajs-3885	67	14	(	(	PUNCT
iajs-3885	67	15	(	(	PUNCT
iajs-3885	67	16	(	(	PUNCT
iajs-3885	67	17	)	)	PUNCT
iajs-3885	67	18	)	)	PUNCT
iajs-3885	68	1	(	(	PUNCT
iajs-3885	68	2	)	)	PUNCT
iajs-3885	68	3	)	)	PUNCT
iajs-3885	68	4	)	)	PUNCT
iajs-3885	68	5	(	(	PUNCT
iajs-3885	68	6	)	)	PUNCT
iajs-3885	68	7	let	let	VERB
iajs-3885	68	8	,	,	PUNCT
iajs-3885	68	9	then	then	ADV
iajs-3885	68	10	we	we	PRON
iajs-3885	68	11	have	have	VERB
iajs-3885	68	12	:	:	PUNCT
iajs-3885	68	13	(	(	PUNCT
iajs-3885	68	14	(	(	PUNCT
iajs-3885	68	15	(	(	PUNCT
iajs-3885	68	16	(	(	PUNCT
iajs-3885	68	17	)	)	PUNCT
iajs-3885	68	18	)	)	PUNCT
iajs-3885	68	19	(	(	PUNCT
iajs-3885	68	20	)	)	PUNCT
iajs-3885	68	21	)	)	PUNCT
iajs-3885	68	22	)	)	PUNCT
iajs-3885	69	1	(	(	PUNCT
iajs-3885	69	2	)	)	PUNCT
iajs-3885	69	3	√	√	PROPN
iajs-3885	69	4	(	(	PUNCT
iajs-3885	69	5	(	(	PUNCT
iajs-3885	69	6	(	(	PUNCT
iajs-3885	69	7	(	(	PUNCT
iajs-3885	69	8	)	)	PUNCT
iajs-3885	69	9	)	)	PUNCT
iajs-3885	69	10	(	(	PUNCT
iajs-3885	69	11	)	)	PUNCT
iajs-3885	69	12	)	)	PUNCT
iajs-3885	69	13	)	)	PUNCT
iajs-3885	70	1	the	the	DET
iajs-3885	70	2	median	median	ADJ
iajs-3885	70	3	point	point	NOUN
iajs-3885	70	4	at	at	ADP
iajs-3885	70	5	which	which	PRON
iajs-3885	70	6	the	the	DET
iajs-3885	70	7	cumulative	cumulative	ADJ
iajs-3885	70	8	distribution	distribution	NOUN
iajs-3885	70	9	function	function	NOUN
iajs-3885	70	10	equal	equal	ADJ
iajs-3885	70	11	to	to	ADP
iajs-3885	70	12	0.5	0.5	NUM
iajs-3885	70	13	(	(	PUNCT
iajs-3885	70	14	)	)	PUNCT
iajs-3885	70	15	is	be	AUX
iajs-3885	70	16	called	call	VERB
iajs-3885	70	17	the	the	DET
iajs-3885	70	18	median	median	NOUN
iajs-3885	70	19	and	and	CCONJ
iajs-3885	70	20	the	the	DET
iajs-3885	70	21	median	median	NOUN
iajs-3885	70	22	of	of	ADP
iajs-3885	70	23	(	(	PUNCT
iajs-3885	70	24	apewd	apewd	NOUN
iajs-3885	70	25	)	)	PUNCT
iajs-3885	70	26	is	be	AUX
iajs-3885	70	27	defined	define	VERB
iajs-3885	70	28	as	as	ADP
iajs-3885	70	29	:	:	PUNCT
iajs-3885	70	30	(	(	PUNCT
iajs-3885	70	31	)	)	PUNCT
iajs-3885	70	32	ihjpas	ihjpas	PROPN
iajs-3885	70	33	.	.	PUNCT
iajs-3885	71	1	2025	2025	NUM
iajs-3885	71	2	,	,	PUNCT
iajs-3885	71	3	38(3	38(3	NUM
iajs-3885	71	4	)	)	PUNCT
iajs-3885	71	5	342	342	NUM
iajs-3885	71	6	(	(	PUNCT
iajs-3885	71	7	(	(	PUNCT
iajs-3885	71	8	(	(	PUNCT
iajs-3885	71	9	)	)	PUNCT
iajs-3885	71	10	(	(	PUNCT
iajs-3885	71	11	)	)	PUNCT
iajs-3885	71	12	)	)	PUNCT
iajs-3885	71	13	)	)	PUNCT
iajs-3885	72	1	let	let	VERB
iajs-3885	72	2	,	,	PUNCT
iajs-3885	72	3	then	then	ADV
iajs-3885	72	4	we	we	PRON
iajs-3885	72	5	have	have	VERB
iajs-3885	72	6	(	(	PUNCT
iajs-3885	72	7	(	(	PUNCT
iajs-3885	72	8	(	(	PUNCT
iajs-3885	72	9	)	)	PUNCT
iajs-3885	72	10	(	(	PUNCT
iajs-3885	72	11	)	)	PUNCT
iajs-3885	72	12	)	)	PUNCT
iajs-3885	72	13	)	)	PUNCT
iajs-3885	73	1	(	(	PUNCT
iajs-3885	73	2	)	)	PUNCT
iajs-3885	73	3	let	let	VERB
iajs-3885	73	4	,	,	PUNCT
iajs-3885	73	5	then	then	ADV
iajs-3885	73	6	we	we	PRON
iajs-3885	73	7	have	have	VERB
iajs-3885	73	8	:	:	PUNCT
iajs-3885	73	9	(	(	PUNCT
iajs-3885	73	10	)	)	PUNCT
iajs-3885	73	11	√	√	PROPN
iajs-3885	73	12	(	(	PUNCT
iajs-3885	73	13	(	(	PUNCT
iajs-3885	73	14	(	(	PUNCT
iajs-3885	73	15	)	)	PUNCT
iajs-3885	73	16	(	(	PUNCT
iajs-3885	73	17	)	)	PUNCT
iajs-3885	73	18	)	)	PUNCT
iajs-3885	73	19	)	)	PUNCT
iajs-3885	74	1	3.3	3.3	NUM
iajs-3885	74	2	.	.	PUNCT
iajs-3885	75	1	moments	moment	NOUN
iajs-3885	75	2	about	about	ADP
iajs-3885	75	3	the	the	DET
iajs-3885	75	4	origin	origin	NOUN
iajs-3885	75	5	one	one	NUM
iajs-3885	75	6	of	of	ADP
iajs-3885	75	7	the	the	DET
iajs-3885	75	8	most	most	ADV
iajs-3885	75	9	important	important	ADJ
iajs-3885	75	10	distribution	distribution	NOUN
iajs-3885	75	11	properties	property	NOUN
iajs-3885	75	12	is	be	AUX
iajs-3885	75	13	moments	moment	NOUN
iajs-3885	75	14	because	because	SCONJ
iajs-3885	75	15	of	of	ADP
iajs-3885	75	16	their	their	PRON
iajs-3885	75	17	role	role	NOUN
iajs-3885	75	18	in	in	ADP
iajs-3885	75	19	determining	determine	VERB
iajs-3885	75	20	many	many	ADJ
iajs-3885	75	21	other	other	ADJ
iajs-3885	75	22	distribution	distribution	NOUN
iajs-3885	75	23	properties	property	NOUN
iajs-3885	75	24	,	,	PUNCT
iajs-3885	75	25	such	such	ADJ
iajs-3885	75	26	as	as	ADP
iajs-3885	75	27	mean	mean	ADJ
iajs-3885	75	28	,	,	PUNCT
iajs-3885	75	29	variance	variance	NOUN
iajs-3885	75	30	,	,	PUNCT
iajs-3885	75	31	skewness	skewness	NOUN
iajs-3885	75	32	,	,	PUNCT
iajs-3885	75	33	and	and	CCONJ
iajs-3885	75	34	kurtosis	kurtosis	NOUN
iajs-3885	75	35	.	.	PUNCT
iajs-3885	76	1	the	the	DET
iajs-3885	76	2	moments	moment	NOUN
iajs-3885	76	3	of	of	ADP
iajs-3885	76	4	(	(	PUNCT
iajs-3885	76	5	apewd	apewd	NOUN
iajs-3885	76	6	)	)	PUNCT
iajs-3885	76	7	could	could	AUX
iajs-3885	76	8	be	be	AUX
iajs-3885	76	9	obtained	obtain	VERB
iajs-3885	76	10	as	as	ADP
iajs-3885	76	11	given	give	VERB
iajs-3885	76	12	:	:	PUNCT
iajs-3885	76	13	(	(	PUNCT
iajs-3885	76	14	)	)	PUNCT
iajs-3885	76	15	∫	∫	PROPN
iajs-3885	76	16	(	(	PUNCT
iajs-3885	76	17	)	)	PUNCT
iajs-3885	76	18	∫	∫	PROPN
iajs-3885	76	19	(	(	PUNCT
iajs-3885	76	20	(	(	PUNCT
iajs-3885	76	21	)	)	PUNCT
iajs-3885	76	22	)	)	PUNCT
iajs-3885	77	1	(	(	PUNCT
iajs-3885	77	2	)	)	PUNCT
iajs-3885	77	3	(	(	PUNCT
iajs-3885	77	4	)	)	PUNCT
iajs-3885	77	5	∫	∫	PROPN
iajs-3885	77	6	(	(	PUNCT
iajs-3885	77	7	)	)	PUNCT
iajs-3885	77	8	(	(	PUNCT
iajs-3885	77	9	)	)	PUNCT
iajs-3885	77	10	∫	∫	PROPN
iajs-3885	77	11	(	(	PUNCT
iajs-3885	77	12	)	)	PUNCT
iajs-3885	77	13	(	(	PUNCT
iajs-3885	77	14	)	)	PUNCT
iajs-3885	77	15	(	(	PUNCT
iajs-3885	77	16	)	)	PUNCT
iajs-3885	77	17	(	(	PUNCT
iajs-3885	77	18	)	)	PUNCT
iajs-3885	77	19	(	(	PUNCT
iajs-3885	77	20	)	)	PUNCT
iajs-3885	77	21	(	(	PUNCT
iajs-3885	77	22	)	)	PUNCT
iajs-3885	77	23	(	(	PUNCT
iajs-3885	77	24	)	)	PUNCT
iajs-3885	77	25	∫	∫	PROPN
iajs-3885	77	26	(	(	PUNCT
iajs-3885	77	27	(	(	PUNCT
iajs-3885	77	28	)	)	PUNCT
iajs-3885	77	29	)	)	PUNCT
iajs-3885	77	30	(	(	PUNCT
iajs-3885	77	31	)	)	PUNCT
iajs-3885	77	32	∫	∫	PROPN
iajs-3885	77	33	(	(	PUNCT
iajs-3885	77	34	(	(	PUNCT
iajs-3885	77	35	)	)	PUNCT
iajs-3885	77	36	)	)	PUNCT
iajs-3885	77	37	(	(	PUNCT
iajs-3885	77	38	)	)	PUNCT
iajs-3885	77	39	(	(	PUNCT
iajs-3885	77	40	)	)	PUNCT
iajs-3885	77	41	∑∑	∑∑	PROPN
iajs-3885	77	42	(	(	PUNCT
iajs-3885	77	43	)	)	PUNCT
iajs-3885	77	44	(	(	PUNCT
iajs-3885	77	45	(	(	PUNCT
iajs-3885	77	46	)	)	PUNCT
iajs-3885	77	47	)	)	PUNCT
iajs-3885	77	48	(	(	PUNCT
iajs-3885	77	49	)	)	PUNCT
iajs-3885	77	50	(	(	PUNCT
iajs-3885	77	51	)	)	PUNCT
iajs-3885	77	52	∫	∫	PROPN
iajs-3885	77	53	∑∑	∑∑	PROPN
iajs-3885	77	54	(	(	PUNCT
iajs-3885	77	55	)	)	PUNCT
iajs-3885	77	56	(	(	PUNCT
iajs-3885	77	57	(	(	PUNCT
iajs-3885	77	58	)	)	PUNCT
iajs-3885	77	59	)	)	PUNCT
iajs-3885	77	60	(	(	PUNCT
iajs-3885	77	61	)	)	PUNCT
iajs-3885	77	62	(	(	PUNCT
iajs-3885	77	63	)	)	PUNCT
iajs-3885	77	64	(	(	PUNCT
iajs-3885	77	65	)	)	PUNCT
iajs-3885	77	66	∫	∫	PROPN
iajs-3885	77	67	(	(	PUNCT
iajs-3885	77	68	)	)	PUNCT
iajs-3885	77	69	(	(	PUNCT
iajs-3885	77	70	)	)	PUNCT
iajs-3885	77	71	(	(	PUNCT
iajs-3885	77	72	(	(	PUNCT
iajs-3885	77	73	)	)	PUNCT
iajs-3885	77	74	)	)	PUNCT
iajs-3885	77	75	(	(	PUNCT
iajs-3885	77	76	12	12	NUM
iajs-3885	77	77	)	)	PUNCT
iajs-3885	77	78	∑∑	∑∑	PROPN
iajs-3885	77	79	(	(	PUNCT
iajs-3885	77	80	)	)	PUNCT
iajs-3885	77	81	(	(	PUNCT
iajs-3885	77	82	(	(	PUNCT
iajs-3885	77	83	)	)	PUNCT
iajs-3885	77	84	)	)	PUNCT
iajs-3885	77	85	(	(	PUNCT
iajs-3885	77	86	)	)	PUNCT
iajs-3885	77	87	(	(	PUNCT
iajs-3885	77	88	)	)	PUNCT
iajs-3885	77	89	∑∑	∑∑	PROPN
iajs-3885	77	90	(	(	PUNCT
iajs-3885	77	91	)	)	PUNCT
iajs-3885	77	92	(	(	PUNCT
iajs-3885	77	93	(	(	PUNCT
iajs-3885	77	94	)	)	PUNCT
iajs-3885	77	95	)	)	PUNCT
iajs-3885	77	96	(	(	PUNCT
iajs-3885	77	97	)	)	PUNCT
iajs-3885	77	98	(	(	PUNCT
iajs-3885	77	99	)	)	PUNCT
iajs-3885	77	100	(	(	PUNCT
iajs-3885	77	101	)	)	PUNCT
iajs-3885	77	102	direct	direct	ADJ
iajs-3885	77	103	applied	apply	VERB
iajs-3885	77	104	of	of	ADP
iajs-3885	77	105	(	(	PUNCT
iajs-3885	77	106	)	)	PUNCT
iajs-3885	77	107	,	,	PUNCT
iajs-3885	77	108	it	it	PRON
iajs-3885	77	109	could	could	AUX
iajs-3885	77	110	be	be	AUX
iajs-3885	77	111	found	find	VERB
iajs-3885	77	112	(	(	PUNCT
iajs-3885	77	113	)	)	PUNCT
iajs-3885	77	114	,	,	PUNCT
iajs-3885	77	115	(	(	PUNCT
iajs-3885	77	116	)	)	PUNCT
iajs-3885	77	117	,	,	PUNCT
iajs-3885	77	118	and	and	CCONJ
iajs-3885	77	119	(	(	PUNCT
iajs-3885	77	120	)	)	PUNCT
iajs-3885	77	121	as	as	SCONJ
iajs-3885	77	122	follows	follow	VERB
iajs-3885	77	123	:	:	PUNCT
iajs-3885	77	124	(	(	PUNCT
iajs-3885	77	125	)	)	PUNCT
iajs-3885	77	126	(	(	PUNCT
iajs-3885	77	127	(	(	PUNCT
iajs-3885	77	128	)	)	PUNCT
iajs-3885	77	129	)	)	PUNCT
iajs-3885	77	130	(	(	PUNCT
iajs-3885	77	131	)	)	PUNCT
iajs-3885	77	132	(	(	PUNCT
iajs-3885	77	133	)	)	PUNCT
iajs-3885	77	134	(	(	PUNCT
iajs-3885	77	135	)	)	PUNCT
iajs-3885	77	136	(	(	PUNCT
iajs-3885	77	137	(	(	PUNCT
iajs-3885	77	138	)	)	PUNCT
iajs-3885	77	139	(	(	PUNCT
iajs-3885	77	140	(	(	PUNCT
iajs-3885	77	141	)	)	PUNCT
iajs-3885	77	142	)	)	PUNCT
iajs-3885	77	143	)	)	PUNCT
iajs-3885	78	1	(	(	PUNCT
iajs-3885	78	2	(	(	PUNCT
iajs-3885	78	3	)	)	PUNCT
iajs-3885	78	4	(	(	PUNCT
iajs-3885	78	5	(	(	PUNCT
iajs-3885	78	6	)	)	PUNCT
iajs-3885	78	7	)	)	PUNCT
iajs-3885	78	8	)	)	PUNCT
iajs-3885	78	9	ihjpas	ihjpas	PROPN
iajs-3885	78	10	.	.	PUNCT
iajs-3885	79	1	2025	2025	NUM
iajs-3885	79	2	,	,	PUNCT
iajs-3885	79	3	38(3	38(3	NUM
iajs-3885	79	4	)	)	PUNCT
iajs-3885	79	5	343	343	NUM
iajs-3885	79	6	3.4	3.4	NUM
iajs-3885	79	7	.	.	PUNCT
iajs-3885	79	8	coefficients	coefficient	NOUN
iajs-3885	79	9	of	of	ADP
iajs-3885	79	10	skewness	skewness	NOUN
iajs-3885	79	11	and	and	CCONJ
iajs-3885	79	12	kurtosis	kurtosis	VERB
iajs-3885	79	13	the	the	DET
iajs-3885	79	14	coefficients	coefficient	NOUN
iajs-3885	79	15	skewness	skewness	NOUN
iajs-3885	79	16	(	(	PUNCT
iajs-3885	79	17	)	)	PUNCT
iajs-3885	79	18	and	and	CCONJ
iajs-3885	79	19	kurtosis	kurtosis	VERB
iajs-3885	79	20	(	(	PUNCT
iajs-3885	79	21	)	)	PUNCT
iajs-3885	79	22	(	(	PUNCT
iajs-3885	79	23	table	table	NOUN
iajs-3885	79	24	1	1	NUM
iajs-3885	79	25	)	)	PUNCT
iajs-3885	79	26	could	could	AUX
iajs-3885	79	27	be	be	AUX
iajs-3885	79	28	given	give	VERB
iajs-3885	79	29	through	through	ADP
iajs-3885	79	30	the	the	DET
iajs-3885	79	31	following	follow	VERB
iajs-3885	79	32	formulas	formula	NOUN
iajs-3885	79	33	:	:	PUNCT
iajs-3885	79	34	(	(	PUNCT
iajs-3885	79	35	)	)	PUNCT
iajs-3885	79	36	(	(	PUNCT
iajs-3885	79	37	(	(	PUNCT
iajs-3885	79	38	)	)	PUNCT
iajs-3885	79	39	)	)	PUNCT
iajs-3885	79	40	(	(	PUNCT
iajs-3885	79	41	)	)	PUNCT
iajs-3885	79	42	(	(	PUNCT
iajs-3885	79	43	13	13	NUM
iajs-3885	79	44	)	)	PUNCT
iajs-3885	79	45	(	(	PUNCT
iajs-3885	79	46	)	)	PUNCT
iajs-3885	79	47	(	(	PUNCT
iajs-3885	79	48	(	(	PUNCT
iajs-3885	79	49	)	)	PUNCT
iajs-3885	79	50	)	)	PUNCT
iajs-3885	79	51	(	(	PUNCT
iajs-3885	79	52	)	)	PUNCT
iajs-3885	79	53	(	(	PUNCT
iajs-3885	79	54	14	14	NUM
iajs-3885	79	55	)	)	PUNCT
iajs-3885	79	56	table	table	NOUN
iajs-3885	79	57	1	1	NUM
iajs-3885	79	58	.	.	PUNCT
iajs-3885	80	1	the	the	DET
iajs-3885	80	2	first	first	ADJ
iajs-3885	80	3	fourth	fourth	ADJ
iajs-3885	80	4	moments	moment	NOUN
iajs-3885	80	5	,	,	PUNCT
iajs-3885	80	6	variance	variance	NOUN
iajs-3885	80	7	,	,	PUNCT
iajs-3885	80	8	skewness	skewness	NOUN
iajs-3885	80	9	,	,	PUNCT
iajs-3885	80	10	and	and	CCONJ
iajs-3885	80	11	kurtosis	kurtosis	VERB
iajs-3885	80	12	for	for	ADP
iajs-3885	80	13	the	the	DET
iajs-3885	80	14	distribution	distribution	NOUN
iajs-3885	80	15	2	2	NUM
iajs-3885	80	16	1.5	1.5	NUM
iajs-3885	80	17	2.5	2.5	NUM
iajs-3885	80	18	0.3631	0.3631	NUM
iajs-3885	80	19	0.2222	0.2222	NUM
iajs-3885	80	20	0.1848	0.1848	NUM
iajs-3885	80	21	0.1918	0.1918	NUM
iajs-3885	80	22	0.8861	0.8861	NUM
iajs-3885	80	23	1.7645	1.7645	NUM
iajs-3885	80	24	0.0904	0.0904	NUM
iajs-3885	80	25	0.5	0.5	NUM
iajs-3885	80	26	1.5	1.5	NUM
iajs-3885	80	27	0.4211	0.4211	NUM
iajs-3885	80	28	0.4233	0.4233	NUM
iajs-3885	80	29	0.6675	0.6675	NUM
iajs-3885	80	30	1.4417	1.4417	NUM
iajs-3885	80	31	5.0443	5.0443	NUM
iajs-3885	80	32	2.4234	2.4234	NUM
iajs-3885	80	33	0.2460	0.2460	NUM
iajs-3885	80	34	2.5	2.5	NUM
iajs-3885	80	35	0.9	0.9	NUM
iajs-3885	80	36	0.5	0.5	NUM
iajs-3885	80	37	0.8354	0.8354	NUM
iajs-3885	80	38	1.3298	1.3298	NUM
iajs-3885	80	39	3.1145	3.1145	NUM
iajs-3885	80	40	9.6950	9.6950	NUM
iajs-3885	80	41	2.4825	2.4825	NUM
iajs-3885	80	42	2.0310	2.0310	NUM
iajs-3885	80	43	0.6320	0.6320	NUM
iajs-3885	80	44	1.2	1.2	NUM
iajs-3885	80	45	0.7	0.7	NUM
iajs-3885	80	46	0.7261	0.7261	NUM
iajs-3885	80	47	0.8656	0.8656	NUM
iajs-3885	80	48	1.3971	1.3971	NUM
iajs-3885	80	49	2.8235	2.8235	NUM
iajs-3885	80	50	0.7686	0.7686	NUM
iajs-3885	80	51	1.7350	1.7350	NUM
iajs-3885	80	52	0.3383	0.3383	NUM
iajs-3885	80	53	3.5	3.5	NUM
iajs-3885	80	54	0.2	0.2	NUM
iajs-3885	80	55	0.8	0.8	NUM
iajs-3885	80	56	0.7403	0.7403	NUM
iajs-3885	80	57	1.6480	1.6480	NUM
iajs-3885	80	58	5.6832	5.6832	NUM
iajs-3885	80	59	26.4787	26.4787	NUM
iajs-3885	80	60	6.7500	6.7500	NUM
iajs-3885	80	61	2.6864	2.6864	NUM
iajs-3885	80	62	1.0999	1.0999	NUM
iajs-3885	80	63	1.4	1.4	NUM
iajs-3885	80	64	2.8	2.8	NUM
iajs-3885	80	65	0.3707	0.3707	NUM
iajs-3885	80	66	0.2230	0.2230	NUM
iajs-3885	80	67	0.1802	0.1802	NUM
iajs-3885	80	68	0.1814	0.1814	NUM
iajs-3885	80	69	0.6490	0.6490	NUM
iajs-3885	80	70	1.7113	1.7113	NUM
iajs-3885	80	71	0.0855	0.0855	NUM
iajs-3885	80	72	3.5	3.5	NUM
iajs-3885	80	73	.	.	PUNCT
iajs-3885	81	1	characteristic	characteristic	ADJ
iajs-3885	81	2	function	function	NOUN
iajs-3885	81	3	(	(	PUNCT
iajs-3885	81	4	)	)	PUNCT
iajs-3885	81	5	(	(	PUNCT
iajs-3885	81	6	)	)	PUNCT
iajs-3885	81	7	∫	∫	PROPN
iajs-3885	81	8	(	(	PUNCT
iajs-3885	81	9	)	)	PUNCT
iajs-3885	81	10	∫	∫	PROPN
iajs-3885	81	11	(	(	PUNCT
iajs-3885	81	12	(	(	PUNCT
iajs-3885	81	13	)	)	PUNCT
iajs-3885	81	14	)	)	PUNCT
iajs-3885	81	15	(	(	PUNCT
iajs-3885	81	16	(	(	PUNCT
iajs-3885	81	17	)	)	PUNCT
iajs-3885	81	18	)	)	PUNCT
iajs-3885	82	1	(	(	PUNCT
iajs-3885	82	2	)	)	PUNCT
iajs-3885	82	3	(	(	PUNCT
iajs-3885	82	4	∫	∫	PROPN
iajs-3885	82	5	(	(	PUNCT
iajs-3885	82	6	(	(	PUNCT
iajs-3885	82	7	)	)	PUNCT
iajs-3885	82	8	)	)	PUNCT
iajs-3885	82	9	∫	∫	PROPN
iajs-3885	82	10	(	(	PUNCT
iajs-3885	82	11	)	)	PUNCT
iajs-3885	82	12	(	(	PUNCT
iajs-3885	82	13	(	(	PUNCT
iajs-3885	82	14	)	)	PUNCT
iajs-3885	82	15	)	)	PUNCT
iajs-3885	82	16	)	)	PUNCT
iajs-3885	83	1	(	(	PUNCT
iajs-3885	83	2	(	(	PUNCT
iajs-3885	83	3	)	)	PUNCT
iajs-3885	83	4	)	)	PUNCT
iajs-3885	84	1	(	(	PUNCT
iajs-3885	84	2	(	(	PUNCT
iajs-3885	84	3	)	)	PUNCT
iajs-3885	84	4	)	)	PUNCT
iajs-3885	85	1	(	(	PUNCT
iajs-3885	85	2	(	(	PUNCT
iajs-3885	85	3	)	)	PUNCT
iajs-3885	85	4	)	)	PUNCT
iajs-3885	85	5	(	(	PUNCT
iajs-3885	85	6	)	)	PUNCT
iajs-3885	85	7	(	(	PUNCT
iajs-3885	85	8	(	(	PUNCT
iajs-3885	85	9	(	(	PUNCT
iajs-3885	85	10	)	)	PUNCT
iajs-3885	85	11	)	)	PUNCT
iajs-3885	85	12	∫	∫	PROPN
iajs-3885	85	13	(	(	PUNCT
iajs-3885	85	14	(	(	PUNCT
iajs-3885	85	15	)	)	PUNCT
iajs-3885	85	16	)	)	PUNCT
iajs-3885	86	1	(	(	PUNCT
iajs-3885	86	2	)	)	PUNCT
iajs-3885	86	3	∫	∫	PROPN
iajs-3885	86	4	(	(	PUNCT
iajs-3885	86	5	)	)	PUNCT
iajs-3885	86	6	)	)	PUNCT
iajs-3885	86	7	(	(	PUNCT
iajs-3885	86	8	)	)	PUNCT
iajs-3885	86	9	(	(	PUNCT
iajs-3885	86	10	)	)	PUNCT
iajs-3885	86	11	(	(	PUNCT
iajs-3885	86	12	(	(	PUNCT
iajs-3885	86	13	)	)	PUNCT
iajs-3885	86	14	)	)	PUNCT
iajs-3885	86	15	(	(	PUNCT
iajs-3885	86	16	(	(	PUNCT
iajs-3885	86	17	)	)	PUNCT
iajs-3885	86	18	)	)	PUNCT
iajs-3885	86	19	(	(	PUNCT
iajs-3885	86	20	(	(	PUNCT
iajs-3885	86	21	)	)	PUNCT
iajs-3885	86	22	)	)	PUNCT
iajs-3885	86	23	(	(	PUNCT
iajs-3885	86	24	)	)	PUNCT
iajs-3885	86	25	(	(	PUNCT
iajs-3885	86	26	15	15	NUM
iajs-3885	86	27	)	)	PUNCT
iajs-3885	86	28	3.6	3.6	NUM
iajs-3885	86	29	.	.	PUNCT
iajs-3885	87	1	moment	moment	NOUN
iajs-3885	87	2	generating	generate	VERB
iajs-3885	87	3	function	function	NOUN
iajs-3885	87	4	(	(	PUNCT
iajs-3885	87	5	)	)	PUNCT
iajs-3885	87	6	(	(	PUNCT
iajs-3885	87	7	)	)	PUNCT
iajs-3885	87	8	∫	∫	PROPN
iajs-3885	87	9	(	(	PUNCT
iajs-3885	87	10	)	)	PUNCT
iajs-3885	87	11	∫	∫	PROPN
iajs-3885	87	12	(	(	PUNCT
iajs-3885	87	13	(	(	PUNCT
iajs-3885	87	14	)	)	PUNCT
iajs-3885	87	15	)	)	PUNCT
iajs-3885	88	1	(	(	PUNCT
iajs-3885	88	2	(	(	PUNCT
iajs-3885	88	3	)	)	PUNCT
iajs-3885	88	4	)	)	PUNCT
iajs-3885	88	5	(	(	PUNCT
iajs-3885	88	6	)	)	PUNCT
iajs-3885	88	7	(	(	PUNCT
iajs-3885	88	8	∫	∫	PROPN
iajs-3885	88	9	(	(	PUNCT
iajs-3885	88	10	(	(	PUNCT
iajs-3885	88	11	)	)	PUNCT
iajs-3885	88	12	)	)	PUNCT
iajs-3885	88	13	∫	∫	PROPN
iajs-3885	88	14	(	(	PUNCT
iajs-3885	88	15	)	)	PUNCT
iajs-3885	88	16	(	(	PUNCT
iajs-3885	88	17	(	(	PUNCT
iajs-3885	88	18	)	)	PUNCT
iajs-3885	88	19	)	)	PUNCT
iajs-3885	88	20	)	)	PUNCT
iajs-3885	89	1	(	(	PUNCT
iajs-3885	89	2	(	(	PUNCT
iajs-3885	89	3	)	)	PUNCT
iajs-3885	89	4	)	)	PUNCT
iajs-3885	90	1	(	(	PUNCT
iajs-3885	90	2	(	(	PUNCT
iajs-3885	90	3	)	)	PUNCT
iajs-3885	90	4	)	)	PUNCT
iajs-3885	91	1	(	(	PUNCT
iajs-3885	91	2	(	(	PUNCT
iajs-3885	91	3	)	)	PUNCT
iajs-3885	91	4	)	)	PUNCT
iajs-3885	91	5	ihjpas	ihjpas	PROPN
iajs-3885	91	6	.	.	PUNCT
iajs-3885	92	1	2025	2025	NUM
iajs-3885	92	2	,	,	PUNCT
iajs-3885	92	3	38(3	38(3	NUM
iajs-3885	92	4	)	)	PUNCT
iajs-3885	92	5	344	344	NUM
iajs-3885	92	6	(	(	PUNCT
iajs-3885	92	7	)	)	PUNCT
iajs-3885	92	8	(	(	PUNCT
iajs-3885	92	9	(	(	PUNCT
iajs-3885	92	10	(	(	PUNCT
iajs-3885	92	11	)	)	PUNCT
iajs-3885	92	12	)	)	PUNCT
iajs-3885	92	13	∫	∫	PROPN
iajs-3885	92	14	(	(	PUNCT
iajs-3885	92	15	(	(	PUNCT
iajs-3885	92	16	)	)	PUNCT
iajs-3885	92	17	)	)	PUNCT
iajs-3885	92	18	(	(	PUNCT
iajs-3885	92	19	)	)	PUNCT
iajs-3885	92	20	∫	∫	PROPN
iajs-3885	92	21	(	(	PUNCT
iajs-3885	92	22	)	)	PUNCT
iajs-3885	92	23	)	)	PUNCT
iajs-3885	92	24	(	(	PUNCT
iajs-3885	92	25	)	)	PUNCT
iajs-3885	92	26	(	(	PUNCT
iajs-3885	92	27	)	)	PUNCT
iajs-3885	92	28	(	(	PUNCT
iajs-3885	92	29	(	(	PUNCT
iajs-3885	92	30	)	)	PUNCT
iajs-3885	92	31	)	)	PUNCT
iajs-3885	93	1	(	(	PUNCT
iajs-3885	93	2	(	(	PUNCT
iajs-3885	93	3	)	)	PUNCT
iajs-3885	93	4	)	)	PUNCT
iajs-3885	93	5	(	(	PUNCT
iajs-3885	93	6	(	(	PUNCT
iajs-3885	93	7	)	)	PUNCT
iajs-3885	93	8	)	)	PUNCT
iajs-3885	93	9	(	(	PUNCT
iajs-3885	93	10	)	)	PUNCT
iajs-3885	93	11	(	(	PUNCT
iajs-3885	93	12	16	16	NUM
iajs-3885	93	13	)	)	PUNCT
iajs-3885	93	14	3.7	3.7	NUM
iajs-3885	93	15	.	.	PUNCT
iajs-3885	94	1	factorial	factorial	ADJ
iajs-3885	94	2	moments	moment	NOUN
iajs-3885	94	3	generating	generate	VERB
iajs-3885	94	4	function	function	NOUN
iajs-3885	94	5	(	(	PUNCT
iajs-3885	94	6	)	)	PUNCT
iajs-3885	94	7	(	(	PUNCT
iajs-3885	94	8	)	)	PUNCT
iajs-3885	94	9	∫	∫	PROPN
iajs-3885	94	10	(	(	PUNCT
iajs-3885	94	11	)	)	PUNCT
iajs-3885	94	12	∫	∫	PROPN
iajs-3885	94	13	(	(	PUNCT
iajs-3885	94	14	(	(	PUNCT
iajs-3885	94	15	)	)	PUNCT
iajs-3885	94	16	)	)	PUNCT
iajs-3885	94	17	(	(	PUNCT
iajs-3885	94	18	(	(	PUNCT
iajs-3885	94	19	)	)	PUNCT
iajs-3885	94	20	)	)	PUNCT
iajs-3885	94	21	∫	∫	PROPN
iajs-3885	94	22	(	(	PUNCT
iajs-3885	94	23	(	(	PUNCT
iajs-3885	94	24	)	)	PUNCT
iajs-3885	94	25	)	)	PUNCT
iajs-3885	94	26	(	(	PUNCT
iajs-3885	94	27	(	(	PUNCT
iajs-3885	94	28	)	)	PUNCT
iajs-3885	94	29	)	)	PUNCT
iajs-3885	94	30	(	(	PUNCT
iajs-3885	94	31	(	(	PUNCT
iajs-3885	94	32	)	)	PUNCT
iajs-3885	94	33	)	)	PUNCT
iajs-3885	94	34	(	(	PUNCT
iajs-3885	94	35	(	(	PUNCT
iajs-3885	94	36	)	)	PUNCT
iajs-3885	94	37	)	)	PUNCT
iajs-3885	94	38	(	(	PUNCT
iajs-3885	94	39	(	(	PUNCT
iajs-3885	94	40	)	)	PUNCT
iajs-3885	94	41	)	)	PUNCT
iajs-3885	94	42	(	(	PUNCT
iajs-3885	94	43	)	)	PUNCT
iajs-3885	94	44	(	(	PUNCT
iajs-3885	94	45	(	(	PUNCT
iajs-3885	94	46	(	(	PUNCT
iajs-3885	94	47	)	)	PUNCT
iajs-3885	94	48	)	)	PUNCT
iajs-3885	94	49	∫	∫	PROPN
iajs-3885	94	50	(	(	PUNCT
iajs-3885	94	51	(	(	PUNCT
iajs-3885	94	52	)	)	PUNCT
iajs-3885	94	53	)	)	PUNCT
iajs-3885	94	54	(	(	PUNCT
iajs-3885	94	55	)	)	PUNCT
iajs-3885	94	56	∫	∫	PROPN
iajs-3885	94	57	(	(	PUNCT
iajs-3885	94	58	)	)	PUNCT
iajs-3885	94	59	)	)	PUNCT
iajs-3885	94	60	(	(	PUNCT
iajs-3885	94	61	)	)	PUNCT
iajs-3885	94	62	(	(	PUNCT
iajs-3885	94	63	)	)	PUNCT
iajs-3885	94	64	(	(	PUNCT
iajs-3885	94	65	(	(	PUNCT
iajs-3885	94	66	)	)	PUNCT
iajs-3885	94	67	)	)	PUNCT
iajs-3885	94	68	(	(	PUNCT
iajs-3885	94	69	(	(	PUNCT
iajs-3885	94	70	)	)	PUNCT
iajs-3885	94	71	)	)	PUNCT
iajs-3885	94	72	(	(	PUNCT
iajs-3885	94	73	(	(	PUNCT
iajs-3885	94	74	)	)	PUNCT
iajs-3885	94	75	)	)	PUNCT
iajs-3885	94	76	(	(	PUNCT
iajs-3885	94	77	)	)	PUNCT
iajs-3885	94	78	(	(	PUNCT
iajs-3885	94	79	17	17	NUM
iajs-3885	94	80	)	)	SYM
iajs-3885	94	81	4	4	NUM
iajs-3885	94	82	.	.	PUNCT
iajs-3885	94	83	conclusion	conclusion	NOUN
iajs-3885	94	84	adding	add	VERB
iajs-3885	94	85	a	a	DET
iajs-3885	94	86	new	new	ADJ
iajs-3885	94	87	parameter	parameter	NOUN
iajs-3885	94	88	,	,	PUNCT
iajs-3885	94	89	whether	whether	SCONJ
iajs-3885	94	90	it	it	PRON
iajs-3885	94	91	is	be	AUX
iajs-3885	94	92	a	a	DET
iajs-3885	94	93	shape	shape	NOUN
iajs-3885	94	94	or	or	CCONJ
iajs-3885	94	95	measurement	measurement	NOUN
iajs-3885	94	96	parameter	parameter	NOUN
iajs-3885	94	97	,	,	PUNCT
iajs-3885	94	98	gives	give	VERB
iajs-3885	94	99	convenience	convenience	NOUN
iajs-3885	94	100	and	and	CCONJ
iajs-3885	94	101	flexibility	flexibility	NOUN
iajs-3885	94	102	to	to	ADP
iajs-3885	94	103	the	the	DET
iajs-3885	94	104	distribution	distribution	NOUN
iajs-3885	94	105	in	in	ADP
iajs-3885	94	106	terms	term	NOUN
iajs-3885	94	107	of	of	ADP
iajs-3885	94	108	analysis	analysis	NOUN
iajs-3885	94	109	and	and	CCONJ
iajs-3885	94	110	processing	processing	NOUN
iajs-3885	94	111	of	of	ADP
iajs-3885	94	112	the	the	DET
iajs-3885	94	113	data	datum	NOUN
iajs-3885	94	114	.	.	PUNCT
iajs-3885	95	1	based	base	VERB
iajs-3885	95	2	on	on	ADP
iajs-3885	95	3	the	the	DET
iajs-3885	95	4	alpha	alpha	NOUN
iajs-3885	95	5	-	-	PUNCT
iajs-3885	95	6	power	power	NOUN
iajs-3885	95	7	family	family	NOUN
iajs-3885	95	8	method	method	NOUN
iajs-3885	95	9	for	for	ADP
iajs-3885	95	10	generating	generating	NOUN
iajs-3885	95	11	distributions	distribution	NOUN
iajs-3885	95	12	,	,	PUNCT
iajs-3885	95	13	a	a	DET
iajs-3885	95	14	new	new	ADJ
iajs-3885	95	15	distribution	distribution	NOUN
iajs-3885	95	16	called	call	VERB
iajs-3885	95	17	apewd	apewd	NOUN
iajs-3885	95	18	was	be	AUX
iajs-3885	95	19	presented	present	VERB
iajs-3885	95	20	.	.	PUNCT
iajs-3885	96	1	all	all	DET
iajs-3885	96	2	the	the	DET
iajs-3885	96	3	basic	basic	ADJ
iajs-3885	96	4	functions	function	NOUN
iajs-3885	96	5	including	include	VERB
iajs-3885	96	6	cdf	cdf	PROPN
iajs-3885	96	7	,	,	PUNCT
iajs-3885	96	8	pdf	pdf	NOUN
iajs-3885	96	9	,	,	PUNCT
iajs-3885	96	10	survival	survival	NOUN
iajs-3885	96	11	,	,	PUNCT
iajs-3885	96	12	and	and	CCONJ
iajs-3885	96	13	hazard	hazard	NOUN
iajs-3885	96	14	,	,	PUNCT
iajs-3885	96	15	statistical	statistical	ADJ
iajs-3885	96	16	properties	property	NOUN
iajs-3885	96	17	of	of	ADP
iajs-3885	96	18	this	this	DET
iajs-3885	96	19	distribution	distribution	NOUN
iajs-3885	96	20	such	such	ADJ
iajs-3885	96	21	as	as	ADP
iajs-3885	96	22	moments	moment	NOUN
iajs-3885	96	23	,	,	PUNCT
iajs-3885	96	24	moment	moment	NOUN
iajs-3885	96	25	generating	generating	NOUN
iajs-3885	96	26	,	,	PUNCT
iajs-3885	96	27	factorial	factorial	ADJ
iajs-3885	96	28	moments	moment	NOUN
iajs-3885	96	29	skewness	skewness	NOUN
iajs-3885	96	30	,	,	PUNCT
iajs-3885	96	31	kurtosis	kurtosis	NOUN
iajs-3885	96	32	…	…	PUNCT
iajs-3885	96	33	etc	etc	X
iajs-3885	96	34	were	be	AUX
iajs-3885	96	35	presented	present	VERB
iajs-3885	96	36	and	and	CCONJ
iajs-3885	96	37	demonstrated	demonstrate	VERB
iajs-3885	96	38	using	use	VERB
iajs-3885	96	39	some	some	DET
iajs-3885	96	40	mathematical	mathematical	ADJ
iajs-3885	96	41	formulas	formula	NOUN
iajs-3885	96	42	to	to	PART
iajs-3885	96	43	facilitate	facilitate	VERB
iajs-3885	96	44	dealing	deal	VERB
iajs-3885	96	45	with	with	ADP
iajs-3885	96	46	the	the	DET
iajs-3885	96	47	complexity	complexity	NOUN
iajs-3885	96	48	in	in	ADP
iajs-3885	96	49	finding	find	VERB
iajs-3885	96	50	and	and	CCONJ
iajs-3885	96	51	discussing	discuss	VERB
iajs-3885	96	52	some	some	DET
iajs-3885	96	53	properties	property	NOUN
iajs-3885	96	54	.	.	PUNCT
iajs-3885	97	1	acknowledgment	acknowledgment	NOUN
iajs-3885	97	2	completing	complete	VERB
iajs-3885	97	3	this	this	DET
iajs-3885	97	4	paper	paper	NOUN
iajs-3885	97	5	would	would	AUX
iajs-3885	97	6	not	not	PART
iajs-3885	97	7	have	have	AUX
iajs-3885	97	8	been	be	AUX
iajs-3885	97	9	possible	possible	ADJ
iajs-3885	97	10	without	without	ADP
iajs-3885	97	11	the	the	DET
iajs-3885	97	12	guidance	guidance	NOUN
iajs-3885	97	13	and	and	CCONJ
iajs-3885	97	14	support	support	NOUN
iajs-3885	97	15	of	of	ADP
iajs-3885	97	16	(	(	PUNCT
iajs-3885	97	17	ali	ali	PROPN
iajs-3885	97	18	t.	t.	PROPN
iajs-3885	97	19	mohammed	mohammed	PROPN
iajs-3885	97	20	and	and	CCONJ
iajs-3885	97	21	umar	umar	PROPN
iajs-3885	97	22	y.	y.	PROPN
iajs-3885	97	23	madaki	madaki	PROPN
iajs-3885	97	24	)	)	PUNCT
iajs-3885	97	25	through	through	ADP
iajs-3885	97	26	their	their	PRON
iajs-3885	97	27	learning	learning	NOUN
iajs-3885	97	28	,	,	PUNCT
iajs-3885	97	29	comments	comment	NOUN
iajs-3885	97	30	and	and	CCONJ
iajs-3885	97	31	encouragement	encouragement	NOUN
iajs-3885	97	32	.	.	PUNCT
iajs-3885	98	1	i	i	PRON
iajs-3885	98	2	extend	extend	VERB
iajs-3885	98	3	my	my	PRON
iajs-3885	98	4	sincere	sincere	ADJ
iajs-3885	98	5	thanks	thank	NOUN
iajs-3885	98	6	and	and	CCONJ
iajs-3885	98	7	gratitude	gratitude	NOUN
iajs-3885	98	8	to	to	ADP
iajs-3885	98	9	them	they	PRON
iajs-3885	98	10	.	.	PUNCT
iajs-3885	99	1	conflict	conflict	NOUN
iajs-3885	99	2	of	of	ADP
iajs-3885	99	3	interest	interest	NOUN
iajs-3885	99	4	there	there	PRON
iajs-3885	99	5	are	be	VERB
iajs-3885	99	6	no	no	DET
iajs-3885	99	7	conflicts	conflict	NOUN
iajs-3885	99	8	of	of	ADP
iajs-3885	99	9	interest	interest	NOUN
iajs-3885	99	10	.	.	PUNCT
iajs-3885	100	1	ihjpas	ihjpas	PROPN
iajs-3885	100	2	.	.	PUNCT
iajs-3885	101	1	2025	2025	NUM
iajs-3885	101	2	,	,	PUNCT
iajs-3885	101	3	38(3	38(3	NUM
iajs-3885	101	4	)	)	PUNCT
iajs-3885	101	5	345	345	NUM
iajs-3885	101	6	funding	funding	NOUN
iajs-3885	101	7	there	there	PRON
iajs-3885	101	8	is	be	VERB
iajs-3885	101	9	no	no	DET
iajs-3885	101	10	funding	funding	NOUN
iajs-3885	101	11	for	for	ADP
iajs-3885	101	12	the	the	DET
iajs-3885	101	13	article	article	NOUN
iajs-3885	101	14	references	reference	VERB
iajs-3885	101	15	1	1	NUM
iajs-3885	101	16	.	.	PUNCT
iajs-3885	101	17	cordeiro	cordeiro	PROPN
iajs-3885	101	18	g.m	g.m	PROPN
iajs-3885	101	19	.	.	PROPN
iajs-3885	101	20	,	,	PUNCT
iajs-3885	101	21	ortega	ortega	PROPN
iajs-3885	101	22	e.m.m	e.m.m	PROPN
iajs-3885	101	23	.	.	PROPN
iajs-3885	101	24	,	,	PUNCT
iajs-3885	101	25	lemonte	lemonte	PROPN
iajs-3885	101	26	a.j	a.j	PROPN
iajs-3885	101	27	.	.	PROPN
iajs-3885	102	1	the	the	DET
iajs-3885	102	2	exponential	exponential	NOUN
iajs-3885	102	3	–	–	PUNCT
iajs-3885	102	4	weibull	weibull	NOUN
iajs-3885	102	5	lifetime	lifetime	NOUN
iajs-3885	102	6	distribution	distribution	NOUN
iajs-3885	102	7	.	.	PUNCT
iajs-3885	103	1	j	j	PROPN
iajs-3885	103	2	stat	stat	PROPN
iajs-3885	103	3	comput	comput	PROPN
iajs-3885	103	4	simul	simul	PROPN
iajs-3885	103	5	2014;84(12):2592–2606	2014;84(12):2592–2606	PROPN
iajs-3885	103	6	.	.	PUNCT
iajs-3885	104	1	https://doi.org/10.1080/00949655.2013.877366	https://doi.org/10.1080/00949655.2013.877366	PROPN
iajs-3885	105	1	2	2	X
iajs-3885	105	2	.	.	X
iajs-3885	105	3	nasiru	nasiru	PROPN
iajs-3885	105	4	s.	s.	PROPN
iajs-3885	105	5	serial	serial	PROPN
iajs-3885	105	6	weibull	weibull	PROPN
iajs-3885	105	7	rayleigh	rayleigh	PROPN
iajs-3885	105	8	distribution	distribution	NOUN
iajs-3885	105	9	:	:	PUNCT
iajs-3885	105	10	theory	theory	NOUN
iajs-3885	105	11	and	and	CCONJ
iajs-3885	105	12	application	application	NOUN
iajs-3885	105	13	.	.	PUNCT
iajs-3885	106	1	int	int	PROPN
iajs-3885	106	2	j	j	PROPN
iajs-3885	106	3	comput	comput	VERB
iajs-3885	106	4	sci	sci	PROPN
iajs-3885	106	5	math	math	PROPN
iajs-3885	106	6	2016;7(3):239–244	2016;7(3):239–244	PROPN
iajs-3885	106	7	.	.	PUNCT
iajs-3885	107	1	https://doi.org/10.1504/ijcsm.2016.077859	https://doi.org/10.1504/ijcsm.2016.077859	PROPN
iajs-3885	107	2	.	.	NOUN
iajs-3885	107	3	3	3	NUM
iajs-3885	107	4	.	.	PUNCT
iajs-3885	107	5	mohammed	mohammed	PROPN
iajs-3885	107	6	m.j	m.j	PROPN
iajs-3885	107	7	.	.	PROPN
iajs-3885	107	8	,	,	PUNCT
iajs-3885	107	9	hussein	hussein	PROPN
iajs-3885	107	10	i.h	i.h	PROPN
iajs-3885	107	11	.	.	PROPN
iajs-3885	107	12	study	study	NOUN
iajs-3885	107	13	of	of	ADP
iajs-3885	107	14	new	new	ADJ
iajs-3885	107	15	mixture	mixture	NOUN
iajs-3885	107	16	distribution	distribution	NOUN
iajs-3885	107	17	.	.	PUNCT
iajs-3885	108	1	in	in	ADP
iajs-3885	108	2	:	:	PUNCT
iajs-3885	108	3	proc	proc	NOUN
iajs-3885	108	4	int	int	NOUN
iajs-3885	108	5	conf	conf	PROPN
iajs-3885	108	6	eng	eng	PROPN
iajs-3885	108	7	appl	appl	PROPN
iajs-3885	108	8	sci	sci	PROPN
iajs-3885	108	9	(	(	PUNCT
iajs-3885	108	10	icemasp	icemasp	NOUN
iajs-3885	108	11	)	)	PUNCT
iajs-3885	108	12	;	;	PUNCT
iajs-3885	108	13	2018	2018	NUM
iajs-3885	108	14	.	.	PUNCT
iajs-3885	109	1	4	4	X
iajs-3885	109	2	.	.	PUNCT
iajs-3885	109	3	mohammed	mohammed	PROPN
iajs-3885	109	4	m.j	m.j	PROPN
iajs-3885	109	5	.	.	PROPN
iajs-3885	109	6	,	,	PUNCT
iajs-3885	109	7	hussein	hussein	PROPN
iajs-3885	109	8	i.h	i.h	PROPN
iajs-3885	109	9	.	.	PUNCT
iajs-3885	110	1	some	some	DET
iajs-3885	110	2	estimation	estimation	NOUN
iajs-3885	110	3	methods	method	NOUN
iajs-3885	110	4	for	for	ADP
iajs-3885	110	5	new	new	ADJ
iajs-3885	110	6	mixture	mixture	NOUN
iajs-3885	110	7	distribution	distribution	NOUN
iajs-3885	110	8	with	with	ADP
iajs-3885	110	9	simulation	simulation	NOUN
iajs-3885	110	10	and	and	CCONJ
iajs-3885	110	11	application	application	NOUN
iajs-3885	110	12	.	.	PUNCT
iajs-3885	111	1	iop	iop	PROPN
iajs-3885	111	2	conf	conf	PROPN
iajs-3885	111	3	ser	ser	NOUN
iajs-3885	111	4	mater	mater	NOUN
iajs-3885	111	5	sci	sci	PROPN
iajs-3885	111	6	eng	eng	PROPN
iajs-3885	111	7	2019;571(1):012014	2019;571(1):012014	NUM
iajs-3885	111	8	.	.	PUNCT
iajs-3885	112	1	https://doi.org/10.1088/1757-899x/571/1/012014	https://doi.org/10.1088/1757-899x/571/1/012014	PROPN
iajs-3885	112	2	.	.	PROPN
iajs-3885	113	1	5	5	NUM
iajs-3885	113	2	.	.	PUNCT
iajs-3885	114	1	mohammed	mohammed	PROPN
iajs-3885	114	2	a.t	a.t	PROPN
iajs-3885	114	3	.	.	PROPN
iajs-3885	114	4	,	,	PUNCT
iajs-3885	114	5	mohammed	mohammed	PROPN
iajs-3885	114	6	m.j	m.j	PROPN
iajs-3885	114	7	.	.	PROPN
iajs-3885	114	8	,	,	PUNCT
iajs-3885	114	9	salman	salman	PROPN
iajs-3885	114	10	m.d	m.d	PROPN
iajs-3885	114	11	.	.	PROPN
iajs-3885	114	12	,	,	PUNCT
iajs-3885	114	13	ibrahim	ibrahim	PROPN
iajs-3885	114	14	r.w	r.w	PROPN
iajs-3885	114	15	.	.	PUNCT
iajs-3885	115	1	the	the	DET
iajs-3885	115	2	inverse	inverse	NOUN
iajs-3885	115	3	exponential	exponential	NOUN
iajs-3885	115	4	rayleigh	rayleigh	NOUN
iajs-3885	115	5	distribution	distribution	NOUN
iajs-3885	115	6	and	and	CCONJ
iajs-3885	115	7	related	related	ADJ
iajs-3885	115	8	concepts	concept	NOUN
iajs-3885	115	9	.	.	PUNCT
iajs-3885	116	1	ital	ital	PROPN
iajs-3885	116	2	j	j	PROPN
iajs-3885	116	3	pure	pure	ADJ
iajs-3885	116	4	appl	appl	PROPN
iajs-3885	116	5	math	math	PROPN
iajs-3885	116	6	2022;47:852–861	2022;47:852–861	PROPN
iajs-3885	116	7	.	.	PUNCT
iajs-3885	117	1	https://doi.org/10.12743/ijpam.v47i0.2022.852	https://doi.org/10.12743/ijpam.v47i0.2022.852	PROPN
iajs-3885	117	2	.	.	PUNCT
iajs-3885	118	1	6	6	NUM
iajs-3885	118	2	.	.	PUNCT
iajs-3885	119	1	mohammed	mohammed	PROPN
iajs-3885	119	2	m.j	m.j	PROPN
iajs-3885	119	3	.	.	PROPN
iajs-3885	119	4	,	,	PUNCT
iajs-3885	119	5	mohammed	mohammed	PROPN
iajs-3885	119	6	a.t	a.t	PROPN
iajs-3885	119	7	.	.	PROPN
iajs-3885	119	8	parameter	parameter	PROPN
iajs-3885	119	9	estimation	estimation	NOUN
iajs-3885	119	10	of	of	ADP
iajs-3885	119	11	inverse	inverse	NOUN
iajs-3885	119	12	exponential	exponential	ADJ
iajs-3885	119	13	rayleigh	rayleigh	NOUN
iajs-3885	119	14	distribution	distribution	NOUN
iajs-3885	119	15	based	base	VERB
iajs-3885	119	16	on	on	ADP
iajs-3885	119	17	classical	classical	ADJ
iajs-3885	119	18	methods	method	NOUN
iajs-3885	119	19	.	.	PUNCT
iajs-3885	120	1	int	int	PROPN
iajs-3885	120	2	j	j	PROPN
iajs-3885	120	3	nonlinear	nonlinear	ADJ
iajs-3885	120	4	anal	anal	ADJ
iajs-3885	120	5	appl	appl	PROPN
iajs-3885	120	6	2021;12(1):935–944	2021;12(1):935–944	NUM
iajs-3885	120	7	.	.	PUNCT
iajs-3885	121	1	https://doi.org/10.22075/ijnaa.2021.4948	https://doi.org/10.22075/ijnaa.2021.4948	PROPN
iajs-3885	121	2	.	.	PROPN
iajs-3885	121	3	7	7	X
iajs-3885	121	4	.	.	PUNCT
iajs-3885	121	5	mohammed	mohammed	PROPN
iajs-3885	121	6	m.j	m.j	PROPN
iajs-3885	121	7	.	.	PROPN
iajs-3885	121	8	a	a	DET
iajs-3885	121	9	new	new	ADJ
iajs-3885	121	10	mixture	mixture	NOUN
iajs-3885	121	11	distribution	distribution	NOUN
iajs-3885	121	12	:	:	PUNCT
iajs-3885	121	13	theory	theory	NOUN
iajs-3885	121	14	and	and	CCONJ
iajs-3885	121	15	application	application	NOUN
iajs-3885	121	16	.	.	PUNCT
iajs-3885	122	1	phd	phd	NOUN
iajs-3885	122	2	thesis	thesis	PROPN
iajs-3885	122	3	,	,	PUNCT
iajs-3885	122	4	college	college	NOUN
iajs-3885	122	5	of	of	ADP
iajs-3885	122	6	education	education	NOUN
iajs-3885	122	7	for	for	ADP
iajs-3885	122	8	pure	pure	ADJ
iajs-3885	122	9	sciences	science	NOUN
iajs-3885	122	10	(	(	PUNCT
iajs-3885	122	11	ibn	ibn	PROPN
iajs-3885	122	12	al	al	PROPN
iajs-3885	122	13	-	-	PUNCT
iajs-3885	122	14	haitham	haitham	PROPN
iajs-3885	122	15	)	)	PUNCT
iajs-3885	122	16	,	,	PUNCT
iajs-3885	122	17	university	university	NOUN
iajs-3885	122	18	of	of	ADP
iajs-3885	122	19	baghdad	baghdad	PROPN
iajs-3885	122	20	;	;	PUNCT
iajs-3885	122	21	2019	2019	NUM
iajs-3885	122	22	.	.	X
iajs-3885	123	1	8	8	NUM
iajs-3885	123	2	.	.	X
iajs-3885	123	3	hussein	hussein	PROPN
iajs-3885	123	4	l.k	l.k	PROPN
iajs-3885	123	5	.	.	PROPN
iajs-3885	123	6	,	,	PUNCT
iajs-3885	123	7	hussein	hussein	PROPN
iajs-3885	123	8	i.h	i.h	PROPN
iajs-3885	123	9	.	.	PROPN
iajs-3885	123	10	,	,	PUNCT
iajs-3885	123	11	rasheed	rasheed	PROPN
iajs-3885	123	12	h.a	h.a	PROPN
iajs-3885	123	13	.	.	PROPN
iajs-3885	123	14	a	a	DET
iajs-3885	123	15	class	class	NOUN
iajs-3885	123	16	of	of	ADP
iajs-3885	123	17	exponential	exponential	ADJ
iajs-3885	123	18	rayleigh	rayleigh	NOUN
iajs-3885	123	19	distribution	distribution	NOUN
iajs-3885	123	20	and	and	CCONJ
iajs-3885	123	21	new	new	ADJ
iajs-3885	123	22	modified	modify	VERB
iajs-3885	123	23	weighted	weight	VERB
iajs-3885	123	24	exponential	exponential	ADJ
iajs-3885	123	25	rayleigh	rayleigh	NOUN
iajs-3885	123	26	distribution	distribution	NOUN
iajs-3885	123	27	with	with	ADP
iajs-3885	123	28	statistical	statistical	ADJ
iajs-3885	123	29	properties	property	NOUN
iajs-3885	123	30	.	.	PUNCT
iajs-3885	124	1	ibn	ibn	PROPN
iajs-3885	124	2	al	al	PROPN
iajs-3885	124	3	-	-	PUNCT
iajs-3885	124	4	haitham	haitham	PROPN
iajs-3885	124	5	j	j	PROPN
iajs-3885	124	6	pure	pure	PROPN
iajs-3885	124	7	appl	appl	PROPN
iajs-3885	124	8	sci	sci	PROPN
iajs-3885	124	9	2023;36(2):390–406	2023;36(2):390–406	PROPN
iajs-3885	124	10	.	.	PUNCT
iajs-3885	125	1	https://doi.org/10.30526/36.2.3044	https://doi.org/10.30526/36.2.3044	PROPN
iajs-3885	125	2	.	.	PROPN
iajs-3885	125	3	9	9	NUM
iajs-3885	125	4	.	.	PUNCT
iajs-3885	125	5	zain	zain	PROPN
iajs-3885	125	6	s.a	s.a	PROPN
iajs-3885	125	7	.	.	PROPN
iajs-3885	125	8	,	,	PUNCT
iajs-3885	125	9	hussein	hussein	PROPN
iajs-3885	125	10	i.h	i.h	PROPN
iajs-3885	125	11	.	.	PROPN
iajs-3885	125	12	estimate	estimate	NOUN
iajs-3885	125	13	for	for	ADP
iajs-3885	125	14	survival	survival	NOUN
iajs-3885	125	15	and	and	CCONJ
iajs-3885	125	16	related	related	ADJ
iajs-3885	125	17	functions	function	NOUN
iajs-3885	125	18	of	of	ADP
iajs-3885	125	19	weighted	weight	VERB
iajs-3885	125	20	rayleigh	rayleigh	NOUN
iajs-3885	125	21	distribution	distribution	NOUN
iajs-3885	125	22	.	.	PUNCT
iajs-3885	126	1	ibn	ibn	PROPN
iajs-3885	126	2	al	al	PROPN
iajs-3885	126	3	-	-	PUNCT
iajs-3885	126	4	haitham	haitham	PROPN
iajs-3885	126	5	j	j	PROPN
iajs-3885	126	6	pure	pure	PROPN
iajs-3885	126	7	appl	appl	PROPN
iajs-3885	126	8	sci	sci	PROPN
iajs-3885	126	9	2021;34(1):1–12	2021;34(1):1–12	PROPN
iajs-3885	126	10	.	.	PUNCT
iajs-3885	127	1	https://doi.org/10.30526/34.1.288378	https://doi.org/10.30526/34.1.288378	NOUN
iajs-3885	127	2	.	.	PROPN
iajs-3885	127	3	10	10	NUM
iajs-3885	127	4	.	.	PUNCT
iajs-3885	127	5	zain	zain	PROPN
iajs-3885	127	6	s.a	s.a	PROPN
iajs-3885	127	7	.	.	PROPN
iajs-3885	127	8	,	,	PUNCT
iajs-3885	127	9	hussein	hussein	PROPN
iajs-3885	127	10	i.h	i.h	PROPN
iajs-3885	127	11	.	.	PUNCT
iajs-3885	128	1	some	some	DET
iajs-3885	128	2	aspects	aspect	NOUN
iajs-3885	128	3	of	of	ADP
iajs-3885	128	4	weighted	weight	VERB
iajs-3885	128	5	rayleigh	rayleigh	NOUN
iajs-3885	128	6	distribution	distribution	NOUN
iajs-3885	128	7	.	.	PUNCT
iajs-3885	129	1	ibn	ibn	PROPN
iajs-3885	129	2	al	al	PROPN
iajs-3885	129	3	-	-	PUNCT
iajs-3885	129	4	haitham	haitham	PROPN
iajs-3885	129	5	j	j	PROPN
iajs-3885	129	6	pure	pure	PROPN
iajs-3885	129	7	appl	appl	PROPN
iajs-3885	129	8	sci	sci	PROPN
iajs-3885	129	9	2020;33(2):107–114	2020;33(2):107–114	PROPN
iajs-3885	129	10	.	.	PUNCT
iajs-3885	130	1	https://doi.org/10.30526/33.2.276110	https://doi.org/10.30526/33.2.276110	PROPN
iajs-3885	130	2	11	11	NUM
iajs-3885	130	3	.	.	PUNCT
iajs-3885	130	4	atiya	atiya	PROPN
iajs-3885	130	5	kalaf	kalaf	PROPN
iajs-3885	130	6	b.	b.	PROPN
iajs-3885	130	7	,	,	PUNCT
iajs-3885	130	8	jabar	jabar	NOUN
iajs-3885	130	9	n.a.a	n.a.a	PROPN
iajs-3885	130	10	.	.	PROPN
iajs-3885	130	11	,	,	PUNCT
iajs-3885	130	12	madaki	madaki	PROPN
iajs-3885	130	13	u.y	u.y	PROPN
iajs-3885	130	14	.	.	PROPN
iajs-3885	130	15	truncated	truncated	ADJ
iajs-3885	130	16	inverse	inverse	NOUN
iajs-3885	130	17	generalized	generalize	VERB
iajs-3885	130	18	rayleigh	rayleigh	NOUN
iajs-3885	130	19	distribution	distribution	NOUN
iajs-3885	130	20	and	and	CCONJ
iajs-3885	130	21	some	some	DET
iajs-3885	130	22	properties	property	NOUN
iajs-3885	130	23	.	.	PUNCT
iajs-3885	131	1	ibn	ibn	PROPN
iajs-3885	131	2	al	al	PROPN
iajs-3885	131	3	-	-	PUNCT
iajs-3885	131	4	haitham	haitham	PROPN
iajs-3885	131	5	j	j	PROPN
iajs-3885	131	6	pure	pure	PROPN
iajs-3885	131	7	appl	appl	PROPN
iajs-3885	131	8	sci	sci	PROPN
iajs-3885	131	9	2023;36(4):414–428	2023;36(4):414–428	NUM
iajs-3885	131	10	.	.	PUNCT
iajs-3885	132	1	https://doi.org/10.30526/36.4.3047	https://doi.org/10.30526/36.4.3047	NUM
iajs-3885	132	2	.	.	NOUN
iajs-3885	132	3	12	12	NUM
iajs-3885	132	4	.	.	PUNCT
iajs-3885	133	1	abdulateef	abdulateef	PROPN
iajs-3885	133	2	e.a	e.a	PROPN
iajs-3885	133	3	.	.	PROPN
iajs-3885	133	4	,	,	PUNCT
iajs-3885	133	5	salman	salman	PROPN
iajs-3885	133	6	a.n	a.n	PROPN
iajs-3885	133	7	.	.	PROPN
iajs-3885	134	1	on	on	ADP
iajs-3885	134	2	shrinkage	shrinkage	NOUN
iajs-3885	134	3	estimation	estimation	NOUN
iajs-3885	134	4	for	for	ADP
iajs-3885	134	5	r(s	r(s	PROPN
iajs-3885	134	6	,	,	PUNCT
iajs-3885	134	7	k	k	NOUN
iajs-3885	134	8	)	)	PUNCT
iajs-3885	134	9	in	in	ADP
iajs-3885	134	10	case	case	NOUN
iajs-3885	134	11	of	of	ADP
iajs-3885	134	12	exponentiated	exponentiated	ADJ
iajs-3885	134	13	pareto	pareto	ADJ
iajs-3885	134	14	distribution	distribution	NOUN
iajs-3885	134	15	.	.	PUNCT
iajs-3885	135	1	ibn	ibn	PROPN
iajs-3885	135	2	al	al	PROPN
iajs-3885	135	3	-	-	PUNCT
iajs-3885	135	4	haitham	haitham	PROPN
iajs-3885	135	5	j	j	PROPN
iajs-3885	135	6	pure	pure	PROPN
iajs-3885	135	7	appl	appl	PROPN
iajs-3885	135	8	sci	sci	PROPN
iajs-3885	135	9	2019;32(1):147–156	2019;32(1):147–156	PROPN
iajs-3885	135	10	.	.	PUNCT
iajs-3885	136	1	https://doi.org/10.30526/32.1.288378	https://doi.org/10.30526/32.1.288378	NOUN
iajs-3885	136	2	.	.	PROPN
iajs-3885	136	3	13	13	NUM
iajs-3885	136	4	.	.	PUNCT
iajs-3885	137	1	salman	salman	PROPN
iajs-3885	137	2	a.n	a.n	PROPN
iajs-3885	137	3	.	.	PROPN
iajs-3885	137	4	,	,	PUNCT
iajs-3885	137	5	sail	sail	PROPN
iajs-3885	137	6	f.h	f.h	PROPN
iajs-3885	137	7	.	.	PUNCT
iajs-3885	137	8	different	different	ADJ
iajs-3885	137	9	estimation	estimation	NOUN
iajs-3885	137	10	methods	method	NOUN
iajs-3885	137	11	for	for	ADP
iajs-3885	137	12	system	system	NOUN
iajs-3885	137	13	reliability	reliability	NOUN
iajs-3885	137	14	multi	multi	ADJ
iajs-3885	137	15	-	-	ADJ
iajs-3885	137	16	components	components	ADJ
iajs-3885	137	17	model	model	NOUN
iajs-3885	137	18	:	:	PUNCT
iajs-3885	137	19	exponentiated	exponentiate	VERB
iajs-3885	137	20	weibull	weibull	PROPN
iajs-3885	137	21	distribution	distribution	NOUN
iajs-3885	137	22	.	.	PUNCT
iajs-3885	138	1	ibn	ibn	PROPN
iajs-3885	138	2	al	al	PROPN
iajs-3885	138	3	-	-	PUNCT
iajs-3885	138	4	haitham	haitham	PROPN
iajs-3885	138	5	j	j	PROPN
iajs-3885	138	6	pure	pure	PROPN
iajs-3885	138	7	appl	appl	PROPN
iajs-3885	138	8	sci	sci	PROPN
iajs-3885	138	9	2018;36:363–377	2018;36:363–377	PROPN
iajs-3885	138	10	.	.	PUNCT
iajs-3885	139	1	https://doi.org/10.30526/36.1.276110	https://doi.org/10.30526/36.1.276110	PROPN
iajs-3885	139	2	14	14	NUM
iajs-3885	139	3	.	.	PUNCT
iajs-3885	140	1	mahdavi	mahdavi	PROPN
iajs-3885	140	2	a.	a.	PROPN
iajs-3885	140	3	,	,	PUNCT
iajs-3885	140	4	kundu	kundu	PROPN
iajs-3885	140	5	d.	d.	PROPN
iajs-3885	140	6	a	a	DET
iajs-3885	140	7	new	new	ADJ
iajs-3885	140	8	method	method	NOUN
iajs-3885	140	9	for	for	ADP
iajs-3885	140	10	generating	generate	VERB
iajs-3885	140	11	distributions	distribution	NOUN
iajs-3885	140	12	with	with	ADP
iajs-3885	140	13	an	an	DET
iajs-3885	140	14	application	application	NOUN
iajs-3885	140	15	to	to	ADP
iajs-3885	140	16	exponential	exponential	ADJ
iajs-3885	140	17	distribution	distribution	NOUN
iajs-3885	140	18	.	.	PUNCT
iajs-3885	141	1	commun	commun	PROPN
iajs-3885	141	2	stat	stat	PROPN
iajs-3885	141	3	theory	theory	PROPN
iajs-3885	141	4	methods	method	NOUN
iajs-3885	141	5	2017;46(13):6543–6557	2017;46(13):6543–6557	PRON
iajs-3885	141	6	.	.	PUNCT
iajs-3885	142	1	https://doi.org/10.1080/03610926.2015.1130839	https://doi.org/10.1080/03610926.2015.1130839	PROPN
iajs-3885	143	1	15	15	NUM
iajs-3885	143	2	.	.	PUNCT
iajs-3885	144	1	ceren	ceren	PROPN
iajs-3885	144	2	ü.	ü.	PROPN
iajs-3885	144	3	,	,	PUNCT
iajs-3885	144	4	çakmakyapan	çakmakyapan	NOUN
iajs-3885	144	5	s.	s.	PROPN
iajs-3885	144	6	,	,	PUNCT
iajs-3885	144	7	özel	özel	PROPN
iajs-3885	144	8	g.	g.	PROPN
iajs-3885	144	9	alpha	alpha	PROPN
iajs-3885	144	10	power	power	PROPN
iajs-3885	144	11	inverted	invert	VERB
iajs-3885	144	12	exponential	exponential	ADJ
iajs-3885	144	13	distribution	distribution	NOUN
iajs-3885	144	14	:	:	PUNCT
iajs-3885	144	15	properties	property	NOUN
iajs-3885	144	16	and	and	CCONJ
iajs-3885	144	17	application	application	NOUN
iajs-3885	144	18	.	.	PUNCT
iajs-3885	145	1	gazi	gazi	PROPN
iajs-3885	145	2	univ	univ	PROPN
iajs-3885	145	3	j	j	PROPN
iajs-3885	145	4	sci	sci	PROPN
iajs-3885	145	5	2018;31(3):954–965	2018;31(3):954–965	PROPN
iajs-3885	145	6	.	.	PUNCT
iajs-3885	145	7	https://doi.org/10.17341/gujs.38948	https://doi.org/10.17341/gujs.38948	NOUN
iajs-3885	145	8	.	.	PUNCT
iajs-3885	146	1	16	16	NUM
iajs-3885	146	2	.	.	PUNCT
iajs-3885	147	1	ihtisham	ihtisham	PROPN
iajs-3885	147	2	s.	s.	PROPN
iajs-3885	147	3	,	,	PUNCT
iajs-3885	147	4	khalil	khalil	PROPN
iajs-3885	147	5	a.	a.	PROPN
iajs-3885	147	6	,	,	PUNCT
iajs-3885	147	7	manzoor	manzoor	PROPN
iajs-3885	147	8	s.	s.	PROPN
iajs-3885	147	9	,	,	PUNCT
iajs-3885	147	10	khan	khan	PROPN
iajs-3885	147	11	s.a	s.a	PROPN
iajs-3885	147	12	.	.	PROPN
iajs-3885	147	13	,	,	PUNCT
iajs-3885	147	14	ali	ali	PROPN
iajs-3885	147	15	a.	a.	PROPN
iajs-3885	147	16	alpha	alpha	PROPN
iajs-3885	147	17	-	-	PUNCT
iajs-3885	147	18	power	power	NOUN
iajs-3885	147	19	pareto	pareto	ADJ
iajs-3885	147	20	distribution	distribution	NOUN
iajs-3885	147	21	:	:	PUNCT
iajs-3885	147	22	its	its	PRON
iajs-3885	147	23	properties	property	NOUN
iajs-3885	147	24	and	and	CCONJ
iajs-3885	147	25	applications	application	NOUN
iajs-3885	147	26	.	.	PUNCT
iajs-3885	148	1	plos	plos	PROPN
iajs-3885	148	2	one	one	NUM
iajs-3885	148	3	2019;14(6):e0218027	2019;14(6):e0218027	PROPN
iajs-3885	148	4	.	.	PUNCT
iajs-3885	149	1	https://doi.org/10.1371/journal.pone.0218027	https://doi.org/10.1371/journal.pone.0218027	PROPN
iajs-3885	149	2	.	.	PUNCT
iajs-3885	150	1	17	17	NUM
iajs-3885	150	2	.	.	PUNCT
iajs-3885	151	1	ahmad	ahmad	PROPN
iajs-3885	151	2	z.	z.	PROPN
iajs-3885	151	3	,	,	PUNCT
iajs-3885	151	4	ilyas	ilyas	PROPN
iajs-3885	151	5	m.	m.	PROPN
iajs-3885	151	6	,	,	PUNCT
iajs-3885	151	7	hamedani	hamedani	PROPN
iajs-3885	151	8	g.g	g.g	PROPN
iajs-3885	151	9	.	.	PUNCT
iajs-3885	152	1	the	the	DET
iajs-3885	152	2	extended	extended	ADJ
iajs-3885	152	3	alpha	alpha	NOUN
iajs-3885	152	4	power	power	NOUN
iajs-3885	152	5	transformed	transform	VERB
iajs-3885	152	6	family	family	NOUN
iajs-3885	152	7	of	of	ADP
iajs-3885	152	8	distributions	distribution	NOUN
iajs-3885	152	9	:	:	PUNCT
iajs-3885	152	10	properties	property	NOUN
iajs-3885	152	11	and	and	CCONJ
iajs-3885	152	12	applications	application	NOUN
iajs-3885	152	13	.	.	PUNCT
iajs-3885	153	1	j	j	PROPN
iajs-3885	153	2	data	datum	NOUN
iajs-3885	153	3	sci	sci	PROPN
iajs-3885	153	4	2021;17(4):726–741	2021;17(4):726–741	PROPN
iajs-3885	153	5	.	.	PUNCT
iajs-3885	154	1	https://doi.org/10.6339/jds.2021.17.4.726	https://doi.org/10.6339/jds.2021.17.4.726	PROPN
iajs-3885	154	2	.	.	PUNCT
iajs-3885	154	3	https://doi.org/10.1080/00949655.2013.877366	https://doi.org/10.1080/00949655.2013.877366	PROPN
iajs-3885	155	1	https://doi.org/10.1504/ijcsm.2016.077859	https://doi.org/10.1504/ijcsm.2016.077859	PROPN
iajs-3885	155	2	https://doi.org/10.1088/1757-899x/571/1/012014	https://doi.org/10.1088/1757-899x/571/1/012014	X
iajs-3885	155	3	https://doi.org/10.12743/ijpam.v47i0.2022.852	https://doi.org/10.12743/ijpam.v47i0.2022.852	PROPN
iajs-3885	155	4	https://doi.org/10.22075/ijnaa.2021.4948	https://doi.org/10.22075/ijnaa.2021.4948	PROPN
iajs-3885	155	5	https://doi.org/10.30526/36.2.3044	https://doi.org/10.30526/36.2.3044	PROPN
iajs-3885	155	6	https://doi.org/10.30526/34.1.288378	https://doi.org/10.30526/34.1.288378	PROPN
iajs-3885	155	7	https://doi.org/10.30526/33.2.276110	https://doi.org/10.30526/33.2.276110	PROPN
iajs-3885	155	8	https://doi.org/10.30526/36.4.3047	https://doi.org/10.30526/36.4.3047	PROPN
iajs-3885	155	9	https://doi.org/10.30526/32.1.288378	https://doi.org/10.30526/32.1.288378	PROPN
iajs-3885	155	10	https://doi.org/10.30526/36.1.276110	https://doi.org/10.30526/36.1.276110	PROPN
iajs-3885	155	11	https://doi.org/10.1080/03610926.2015.1130839	https://doi.org/10.1080/03610926.2015.1130839	PROPN
iajs-3885	155	12	https://doi.org/10.17341/gujs.38948	https://doi.org/10.17341/gujs.38948	NOUN
iajs-3885	155	13	https://doi.org/10.1371/journal.pone.0218027	https://doi.org/10.1371/journal.pone.0218027	X
iajs-3885	155	14	https://doi.org/10.6339/jds.2021.17.4.726	https://doi.org/10.6339/jds.2021.17.4.726	PROPN
iajs-3885	155	15	ihjpas	ihjpas	PROPN
iajs-3885	155	16	.	.	PUNCT
iajs-3885	156	1	2025	2025	NUM
iajs-3885	156	2	,	,	PUNCT
iajs-3885	156	3	38(3	38(3	NUM
iajs-3885	156	4	)	)	PUNCT
iajs-3885	156	5	346	346	NUM
iajs-3885	156	6	18	18	NUM
iajs-3885	156	7	.	.	PUNCT
iajs-3885	157	1	ahmad	ahmad	PROPN
iajs-3885	157	2	z.	z.	PROPN
iajs-3885	157	3	,	,	PUNCT
iajs-3885	157	4	elgarhy	elgarhy	ADV
iajs-3885	157	5	m.	m.	NOUN
iajs-3885	157	6	,	,	PUNCT
iajs-3885	157	7	abbas	abbas	PROPN
iajs-3885	157	8	n.	n.	PROPN
iajs-3885	157	9	a	a	DET
iajs-3885	157	10	new	new	ADJ
iajs-3885	157	11	extended	extended	ADJ
iajs-3885	157	12	alpha	alpha	NOUN
iajs-3885	157	13	power	power	NOUN
iajs-3885	157	14	transformed	transform	VERB
iajs-3885	157	15	family	family	NOUN
iajs-3885	157	16	of	of	ADP
iajs-3885	157	17	distributions	distribution	NOUN
iajs-3885	157	18	:	:	PUNCT
iajs-3885	157	19	properties	property	NOUN
iajs-3885	157	20	and	and	CCONJ
iajs-3885	157	21	applications	application	NOUN
iajs-3885	157	22	.	.	PUNCT
iajs-3885	158	1	j	j	PROPN
iajs-3885	158	2	stat	stat	PROPN
iajs-3885	158	3	model	model	PROPN
iajs-3885	158	4	stat	stat	PROPN
iajs-3885	158	5	appl	appl	PROPN
iajs-3885	158	6	2020;1(1):13–27	2020;1(1):13–27	NUM
iajs-3885	158	7	.	.	PUNCT
iajs-3885	159	1	https://doi.org/10.30526/1.1.13	https://doi.org/10.30526/1.1.13	X
iajs-3885	159	2	.	.	PROPN
iajs-3885	159	3	19	19	NUM
iajs-3885	159	4	.	.	PUNCT
iajs-3885	159	5	elbatal	elbatal	PROPN
iajs-3885	159	6	i.	i.	PROPN
iajs-3885	159	7	,	,	PUNCT
iajs-3885	159	8	ahmad	ahmad	PROPN
iajs-3885	159	9	z.	z.	PROPN
iajs-3885	159	10	,	,	PUNCT
iajs-3885	159	11	elgarhy	elgarhy	ADV
iajs-3885	159	12	m.	m.	NOUN
iajs-3885	159	13	,	,	PUNCT
iajs-3885	159	14	almarashi	almarashi	PROPN
iajs-3885	159	15	a.m.	a.m.	PROPN
iajs-3885	160	1	a	a	DET
iajs-3885	160	2	new	new	ADJ
iajs-3885	160	3	alpha	alpha	NOUN
iajs-3885	160	4	power	power	NOUN
iajs-3885	160	5	transformed	transform	VERB
iajs-3885	160	6	family	family	NOUN
iajs-3885	160	7	of	of	ADP
iajs-3885	160	8	distributions	distribution	NOUN
iajs-3885	160	9	:	:	PUNCT
iajs-3885	160	10	properties	property	NOUN
iajs-3885	160	11	and	and	CCONJ
iajs-3885	160	12	applications	application	NOUN
iajs-3885	160	13	to	to	ADP
iajs-3885	160	14	the	the	DET
iajs-3885	160	15	weibull	weibull	PROPN
iajs-3885	160	16	model	model	PROPN
iajs-3885	160	17	.	.	PUNCT
iajs-3885	161	1	j	j	PROPN
iajs-3885	161	2	nonlinear	nonlinear	PROPN
iajs-3885	161	3	sci	sci	PROPN
iajs-3885	161	4	appl	appl	PROPN
iajs-3885	161	5	2018;12(1):1–20	2018;12(1):1–20	NUM
iajs-3885	161	6	.	.	PUNCT
iajs-3885	162	1	https://doi.org/10.22436/jnsa.012.01.01	https://doi.org/10.22436/jnsa.012.01.01	PROPN
iajs-3885	162	2	.	.	PROPN
iajs-3885	162	3	20	20	NUM
iajs-3885	162	4	.	.	X
iajs-3885	163	1	eghwerido	eghwerido	PROPN
iajs-3885	163	2	j.t	j.t	PROPN
iajs-3885	163	3	.	.	PROPN
iajs-3885	164	1	the	the	DET
iajs-3885	164	2	alpha	alpha	PROPN
iajs-3885	164	3	power	power	NOUN
iajs-3885	164	4	teissier	teissier	NOUN
iajs-3885	164	5	distribution	distribution	NOUN
iajs-3885	164	6	and	and	CCONJ
iajs-3885	164	7	its	its	PRON
iajs-3885	164	8	applications	application	NOUN
iajs-3885	164	9	.	.	PUNCT
iajs-3885	165	1	afr	afr	PROPN
iajs-3885	165	2	stat	stat	PROPN
iajs-3885	165	3	2021;16(2):2733–2747	2021;16(2):2733–2747	PROPN
iajs-3885	165	4	.	.	PUNCT
iajs-3885	166	1	https://doi.org/10.16929/afst/2021.16.2.2733	https://doi.org/10.16929/afst/2021.16.2.2733	PROPN
iajs-3885	166	2	.	.	PUNCT
iajs-3885	167	1	21	21	NUM
iajs-3885	167	2	.	.	X
iajs-3885	167	3	mohiuddin	mohiuddin	VERB
iajs-3885	167	4	m.	m.	NOUN
iajs-3885	167	5	,	,	PUNCT
iajs-3885	167	6	kannan	kannan	PROPN
iajs-3885	167	7	r.	r.	PROPN
iajs-3885	167	8	alpha	alpha	PROPN
iajs-3885	167	9	power	power	PROPN
iajs-3885	167	10	transformed	transform	VERB
iajs-3885	167	11	aradhana	aradhana	PROPN
iajs-3885	167	12	distributions	distribution	NOUN
iajs-3885	167	13	,	,	PUNCT
iajs-3885	167	14	its	its	PRON
iajs-3885	167	15	properties	property	NOUN
iajs-3885	167	16	and	and	CCONJ
iajs-3885	167	17	applications	application	NOUN
iajs-3885	167	18	.	.	PUNCT
iajs-3885	168	1	indian	indian	PROPN
iajs-3885	168	2	j	j	PROPN
iajs-3885	168	3	sci	sci	PROPN
iajs-3885	168	4	technol	technol	PROPN
iajs-3885	168	5	2021;14(31):2483–2493	2021;14(31):2483–2493	NUM
iajs-3885	168	6	.	.	PUNCT
iajs-3885	169	1	https://doi.org/10.17485/ijst/v14i31.1054	https://doi.org/10.17485/ijst/v14i31.1054	X
iajs-3885	169	2	.	.	PUNCT
iajs-3885	170	1	22	22	NUM
iajs-3885	170	2	.	.	PUNCT
iajs-3885	170	3	ali	ali	PROPN
iajs-3885	170	4	m.	m.	PROPN
iajs-3885	170	5	,	,	PUNCT
iajs-3885	170	6	khalil	khalil	PROPN
iajs-3885	170	7	a.	a.	PROPN
iajs-3885	170	8	,	,	PUNCT
iajs-3885	170	9	ijaz	ijaz	PROPN
iajs-3885	170	10	m.	m.	PROPN
iajs-3885	170	11	,	,	PUNCT
iajs-3885	170	12	saeed	saeed	PROPN
iajs-3885	170	13	n.	n.	PROPN
iajs-3885	170	14	alpha	alpha	PROPN
iajs-3885	170	15	-	-	PUNCT
iajs-3885	170	16	power	power	NOUN
iajs-3885	170	17	exponentiated	exponentiate	VERB
iajs-3885	170	18	inverse	inverse	NOUN
iajs-3885	170	19	rayleigh	rayleigh	NOUN
iajs-3885	170	20	distribution	distribution	NOUN
iajs-3885	170	21	and	and	CCONJ
iajs-3885	170	22	its	its	PRON
iajs-3885	170	23	applications	application	NOUN
iajs-3885	170	24	to	to	ADP
iajs-3885	170	25	real	real	ADJ
iajs-3885	170	26	and	and	CCONJ
iajs-3885	170	27	simulated	simulated	ADJ
iajs-3885	170	28	data	datum	NOUN
iajs-3885	170	29	.	.	PUNCT
iajs-3885	171	1	plos	plos	PROPN
iajs-3885	171	2	one	one	NUM
iajs-3885	171	3	2021;16(1):e0245253	2021;16(1):e0245253	NUM
iajs-3885	171	4	.	.	PUNCT
iajs-3885	172	1	https://doi.org/10.1371/journal.pone.0245253	https://doi.org/10.1371/journal.pone.0245253	INTJ
iajs-3885	172	2	.	.	PUNCT
iajs-3885	173	1	23	23	NUM
iajs-3885	173	2	.	.	PUNCT
iajs-3885	174	1	el	el	NOUN
iajs-3885	174	2	-	-	PUNCT
iajs-3885	174	3	sherpieny	sherpieny	PROPN
iajs-3885	174	4	e.-s.a	e.-s.a	PROPN
iajs-3885	174	5	.	.	PROPN
iajs-3885	174	6	,	,	PUNCT
iajs-3885	174	7	hwas	hwas	PROPN
iajs-3885	174	8	h.k	h.k	PROPN
iajs-3885	174	9	.	.	PROPN
iajs-3885	174	10	generalized	generalize	VERB
iajs-3885	174	11	alpha	alpha	NOUN
iajs-3885	174	12	-	-	PUNCT
iajs-3885	174	13	power	power	NOUN
iajs-3885	174	14	transformation	transformation	NOUN
iajs-3885	174	15	family	family	NOUN
iajs-3885	174	16	of	of	ADP
iajs-3885	174	17	distributions	distribution	NOUN
iajs-3885	174	18	with	with	ADP
iajs-3885	174	19	an	an	DET
iajs-3885	174	20	application	application	NOUN
iajs-3885	174	21	to	to	ADP
iajs-3885	174	22	exponential	exponential	ADJ
iajs-3885	174	23	model	model	NOUN
iajs-3885	174	24	.	.	PUNCT
iajs-3885	175	1	j	j	PROPN
iajs-3885	175	2	comput	comput	VERB
iajs-3885	175	3	theor	theor	PROPN
iajs-3885	175	4	nanosci	nanosci	PROPN
iajs-3885	175	5	2022;18(6):1677–1684	2022;18(6):1677–1684	X
iajs-3885	175	6	.	.	PUNCT
iajs-3885	176	1	https://doi.org/10.1166/jctn.2022.1003	https://doi.org/10.1166/jctn.2022.1003	PROPN
iajs-3885	176	2	.	.	PROPN
iajs-3885	176	3	24	24	NUM
iajs-3885	176	4	.	.	PUNCT
iajs-3885	177	1	el	el	PROPN
iajs-3885	177	2	-	-	PUNCT
iajs-3885	177	3	helbawy	helbawy	PROPN
iajs-3885	177	4	a.a	a.a	PROPN
iajs-3885	177	5	.	.	PROPN
iajs-3885	177	6	,	,	PUNCT
iajs-3885	177	7	hegazy	hegazy	PROPN
iajs-3885	177	8	m.a	m.a	PROPN
iajs-3885	177	9	.	.	PROPN
iajs-3885	177	10	,	,	PUNCT
iajs-3885	177	11	al	al	PROPN
iajs-3885	177	12	-	-	PUNCT
iajs-3885	177	13	dayian	dayian	PROPN
iajs-3885	177	14	g.r	g.r	PROPN
iajs-3885	177	15	.	.	PUNCT
iajs-3885	178	1	a	a	DET
iajs-3885	178	2	new	new	ADJ
iajs-3885	178	3	family	family	NOUN
iajs-3885	178	4	of	of	ADP
iajs-3885	178	5	discrete	discrete	ADJ
iajs-3885	178	6	alpha	alpha	NOUN
iajs-3885	178	7	power	power	NOUN
iajs-3885	178	8	distributions	distribution	NOUN
iajs-3885	178	9	.	.	PUNCT
iajs-3885	179	1	al	al	PROPN
iajs-3885	179	2	-	-	PUNCT
iajs-3885	179	3	azhar	azhar	PROPN
iajs-3885	179	4	univ	univ	PROPN
iajs-3885	179	5	sci	sci	PROPN
iajs-3885	179	6	j	j	PROPN
iajs-3885	179	7	commer	commer	PROPN
iajs-3885	179	8	bus	bus	NOUN
iajs-3885	179	9	adm	adm	PROPN
iajs-3885	179	10	2022;28(1):158–190	2022;28(1):158–190	NUM
iajs-3885	179	11	.	.	PUNCT
iajs-3885	180	1	https://doi.org/10.21608/ajsb.2022.118003	https://doi.org/10.21608/ajsb.2022.118003	PROPN
iajs-3885	180	2	.	.	PROPN
iajs-3885	180	3	25	25	NUM
iajs-3885	181	1	.	.	PUNCT
iajs-3885	181	2	mandouh	mandouh	PROPN
iajs-3885	181	3	r.m	r.m	PROPN
iajs-3885	181	4	.	.	PROPN
iajs-3885	181	5	,	,	PUNCT
iajs-3885	181	6	sewilam	sewilam	PROPN
iajs-3885	181	7	e.m	e.m	PROPN
iajs-3885	181	8	.	.	PROPN
iajs-3885	181	9	,	,	PUNCT
iajs-3885	181	10	abdel	abdel	PROPN
iajs-3885	181	11	-	-	PUNCT
iajs-3885	181	12	zaher	zaher	PROPN
iajs-3885	181	13	m.m	m.m	PROPN
iajs-3885	181	14	.	.	PROPN
iajs-3885	181	15	,	,	PUNCT
iajs-3885	181	16	mahmoud	mahmoud	PROPN
iajs-3885	181	17	m.r	m.r	PROPN
iajs-3885	181	18	.	.	PROPN
iajs-3885	182	1	a	a	DET
iajs-3885	182	2	new	new	ADJ
iajs-3885	182	3	family	family	NOUN
iajs-3885	182	4	of	of	ADP
iajs-3885	182	5	distributions	distribution	NOUN
iajs-3885	182	6	in	in	ADP
iajs-3885	182	7	the	the	DET
iajs-3885	182	8	class	class	NOUN
iajs-3885	182	9	of	of	ADP
iajs-3885	182	10	the	the	DET
iajs-3885	182	11	alpha	alpha	NOUN
iajs-3885	182	12	power	power	NOUN
iajs-3885	182	13	transformation	transformation	NOUN
iajs-3885	182	14	with	with	ADP
iajs-3885	182	15	applications	application	NOUN
iajs-3885	182	16	to	to	ADP
iajs-3885	182	17	income	income	VERB
iajs-3885	182	18	.	.	PUNCT
iajs-3885	183	1	asian	asian	PROPN
iajs-3885	183	2	j	j	PROPN
iajs-3885	183	3	probab	probab	PROPN
iajs-3885	183	4	stat	stat	PROPN
iajs-3885	183	5	2022;19(1):41–55	2022;19(1):41–55	PRON
iajs-3885	183	6	.	.	PUNCT
iajs-3885	184	1	https://doi.org/10.9734/ajps/2022/v19i130441	https://doi.org/10.9734/ajps/2022/v19i130441	NOUN
iajs-3885	184	2	.	.	PUNCT
iajs-3885	185	1	26	26	NUM
iajs-3885	185	2	.	.	PUNCT
iajs-3885	185	3	kilai	kilai	PROPN
iajs-3885	185	4	m.	m.	PROPN
iajs-3885	185	5	,	,	PUNCT
iajs-3885	185	6	waititu	waititu	PROPN
iajs-3885	185	7	g.a	g.a	PROPN
iajs-3885	185	8	.	.	PROPN
iajs-3885	185	9	,	,	PUNCT
iajs-3885	185	10	kibira	kibira	PROPN
iajs-3885	185	11	w.a	w.a	PROPN
iajs-3885	185	12	.	.	PROPN
iajs-3885	185	13	,	,	PUNCT
iajs-3885	185	14	alshanbari	alshanbari	PROPN
iajs-3885	185	15	h.m	h.m	PROPN
iajs-3885	185	16	.	.	PROPN
iajs-3885	185	17	,	,	PUNCT
iajs-3885	185	18	el	el	PROPN
iajs-3885	185	19	-	-	PUNCT
iajs-3885	185	20	morshedy	morshedy	PROPN
iajs-3885	185	21	m.	m.	NOUN
iajs-3885	185	22	a	a	DET
iajs-3885	185	23	new	new	ADJ
iajs-3885	185	24	generalization	generalization	NOUN
iajs-3885	185	25	of	of	ADP
iajs-3885	185	26	gull	gull	NOUN
iajs-3885	185	27	alpha	alpha	NOUN
iajs-3885	185	28	power	power	NOUN
iajs-3885	185	29	family	family	NOUN
iajs-3885	185	30	of	of	ADP
iajs-3885	185	31	distributions	distribution	NOUN
iajs-3885	185	32	with	with	ADP
iajs-3885	185	33	application	application	NOUN
iajs-3885	185	34	to	to	ADP
iajs-3885	185	35	modeling	model	VERB
iajs-3885	185	36	covid-19	covid-19	PROPN
iajs-3885	185	37	mortality	mortality	NOUN
iajs-3885	185	38	rates	rate	NOUN
iajs-3885	185	39	.	.	PUNCT
iajs-3885	186	1	results	result	VERB
iajs-3885	186	2	phys	phy	NOUN
iajs-3885	186	3	2022;36:105339	2022;36:105339	NUM
iajs-3885	186	4	.	.	PUNCT
iajs-3885	187	1	https://doi.org/10.1016/j.rinp.2022.105339	https://doi.org/10.1016/j.rinp.2022.105339	PROPN
iajs-3885	187	2	.	.	PUNCT
iajs-3885	188	1	27	27	NUM
iajs-3885	188	2	.	.	X
iajs-3885	188	3	elbatal	elbatal	ADJ
iajs-3885	188	4	i.	i.	PROPN
iajs-3885	188	5	,	,	PUNCT
iajs-3885	188	6	çakmakyapan	çakmakyapan	PROPN
iajs-3885	188	7	s.	s.	PROPN
iajs-3885	188	8	,	,	PUNCT
iajs-3885	188	9	özel	özel	PROPN
iajs-3885	188	10	g.	g.	PROPN
iajs-3885	188	11	alpha	alpha	PROPN
iajs-3885	188	12	power	power	PROPN
iajs-3885	188	13	odd	odd	ADJ
iajs-3885	188	14	generalized	generalized	ADJ
iajs-3885	188	15	exponential	exponential	ADJ
iajs-3885	188	16	family	family	NOUN
iajs-3885	188	17	of	of	ADP
iajs-3885	188	18	distributions	distribution	NOUN
iajs-3885	188	19	:	:	PUNCT
iajs-3885	188	20	model	model	NOUN
iajs-3885	188	21	,	,	PUNCT
iajs-3885	188	22	properties	property	NOUN
iajs-3885	188	23	and	and	CCONJ
iajs-3885	188	24	applications	application	NOUN
iajs-3885	188	25	.	.	PUNCT
iajs-3885	189	1	gazi	gazi	PROPN
iajs-3885	189	2	univ	univ	PROPN
iajs-3885	189	3	j	j	PROPN
iajs-3885	189	4	sci	sci	PROPN
iajs-3885	189	5	2022;35(3):1171–1188	2022;35(3):1171–1188	PROPN
iajs-3885	189	6	.	.	PUNCT
iajs-3885	190	1	https://doi.org/10.35378/gujs.868555	https://doi.org/10.35378/gujs.868555	NOUN
iajs-3885	190	2	.	.	PUNCT
iajs-3885	191	1	28	28	NUM
iajs-3885	191	2	.	.	X
iajs-3885	192	1	elsherpieny	elsherpieny	PROPN
iajs-3885	192	2	e.-s.a	e.-s.a	PROPN
iajs-3885	192	3	.	.	PROPN
iajs-3885	192	4	,	,	PUNCT
iajs-3885	192	5	almetwally	almetwally	ADV
iajs-3885	192	6	e.m	e.m	PROPN
iajs-3885	192	7	.	.	PUNCT
iajs-3885	193	1	the	the	DET
iajs-3885	193	2	exponentiated	exponentiated	ADJ
iajs-3885	193	3	generalized	generalize	VERB
iajs-3885	193	4	alpha	alpha	NOUN
iajs-3885	193	5	power	power	NOUN
iajs-3885	193	6	exponential	exponential	ADJ
iajs-3885	193	7	distribution	distribution	NOUN
iajs-3885	193	8	:	:	PUNCT
iajs-3885	193	9	properties	property	NOUN
iajs-3885	193	10	and	and	CCONJ
iajs-3885	193	11	applications	application	NOUN
iajs-3885	193	12	.	.	PUNCT
iajs-3885	194	1	pak	pak	PROPN
iajs-3885	194	2	j	j	PROPN
iajs-3885	194	3	stat	stat	PROPN
iajs-3885	194	4	oper	oper	PROPN
iajs-3885	194	5	res	re	NOUN
iajs-3885	194	6	2022;18(2):349–367	2022;18(2):349–367	PROPN
iajs-3885	194	7	.	.	PUNCT
iajs-3885	194	8	https://doi.org/10.18187/pjsor.v18i2.3515	https://doi.org/10.18187/pjsor.v18i2.3515	X
iajs-3885	194	9	.	.	PUNCT
iajs-3885	195	1	29	29	NUM
iajs-3885	195	2	.	.	PUNCT
iajs-3885	195	3	hussain	hussain	PROPN
iajs-3885	195	4	s.	s.	PROPN
iajs-3885	195	5	,	,	PUNCT
iajs-3885	195	6	rashid	rashid	PROPN
iajs-3885	195	7	m.s	m.s	PROPN
iajs-3885	195	8	.	.	PROPN
iajs-3885	195	9	,	,	PUNCT
iajs-3885	195	10	ul	ul	PROPN
iajs-3885	195	11	hassan	hassan	PROPN
iajs-3885	195	12	m.	m.	PROPN
iajs-3885	195	13	,	,	PUNCT
iajs-3885	195	14	ahmed	ahmed	PROPN
iajs-3885	195	15	r.	r.	PROPN
iajs-3885	195	16	the	the	DET
iajs-3885	195	17	generalized	generalize	VERB
iajs-3885	195	18	exponential	exponential	ADJ
iajs-3885	195	19	extended	extend	VERB
iajs-3885	195	20	exponentiated	exponentiate	VERB
iajs-3885	195	21	family	family	NOUN
iajs-3885	195	22	of	of	ADP
iajs-3885	195	23	distributions	distribution	NOUN
iajs-3885	195	24	:	:	PUNCT
iajs-3885	195	25	theory	theory	NOUN
iajs-3885	195	26	,	,	PUNCT
iajs-3885	195	27	properties	property	NOUN
iajs-3885	195	28	,	,	PUNCT
iajs-3885	195	29	and	and	CCONJ
iajs-3885	195	30	applications	application	NOUN
iajs-3885	195	31	.	.	PUNCT
iajs-3885	196	1	mathematics	mathematics	PROPN
iajs-3885	196	2	2022;10(19):1–19	2022;10(19):1–19	NUM
iajs-3885	196	3	.	.	PUNCT
iajs-3885	197	1	https://doi.org/10.3390/math10193419	https://doi.org/10.3390/math10193419	NOUN
iajs-3885	197	2	.	.	PUNCT
iajs-3885	198	1	30	30	NUM
iajs-3885	198	2	.	.	PUNCT
iajs-3885	198	3	kargbo	kargbo	PROPN
iajs-3885	198	4	m.	m.	PROPN
iajs-3885	198	5	,	,	PUNCT
iajs-3885	198	6	waititu	waititu	PROPN
iajs-3885	198	7	a.	a.	NOUN
iajs-3885	198	8	,	,	PUNCT
iajs-3885	198	9	wanjoya	wanjoya	VERB
iajs-3885	198	10	a.	a.	NOUN
iajs-3885	198	11	the	the	DET
iajs-3885	198	12	generalized	generalize	VERB
iajs-3885	198	13	alpha	alpha	NOUN
iajs-3885	198	14	power	power	NOUN
iajs-3885	198	15	exponentiated	exponentiate	VERB
iajs-3885	198	16	inverse	inverse	ADJ
iajs-3885	198	17	exponential	exponential	ADJ
iajs-3885	198	18	distribution	distribution	NOUN
iajs-3885	198	19	and	and	CCONJ
iajs-3885	198	20	its	its	PRON
iajs-3885	198	21	application	application	NOUN
iajs-3885	198	22	to	to	ADP
iajs-3885	198	23	real	real	ADJ
iajs-3885	198	24	data	datum	NOUN
iajs-3885	198	25	.	.	PUNCT
iajs-3885	199	1	authorea	authorea	PROPN
iajs-3885	200	1	prepr	prepr	ADJ
iajs-3885	200	2	2023	2023	NUM
iajs-3885	200	3	.	.	PUNCT
iajs-3885	201	1	https://doi.org/10.22541/au.168963153.36742019/v1	https://doi.org/10.22541/au.168963153.36742019/v1	PROPN
iajs-3885	201	2	.	.	PUNCT
iajs-3885	202	1	https://doi.org/10.30526/1.1.13	https://doi.org/10.30526/1.1.13	PRON
iajs-3885	202	2	https://doi.org/10.22436/jnsa.012.01.01	https://doi.org/10.22436/jnsa.012.01.01	NUM
iajs-3885	202	3	https://doi.org/10.16929/afst/2021.16.2.2733	https://doi.org/10.16929/afst/2021.16.2.2733	ADV
iajs-3885	202	4	https://doi.org/10.17485/ijst/v14i31.1054	https://doi.org/10.17485/ijst/v14i31.1054	ADP
iajs-3885	203	1	https://doi.org/10.1371/journal.pone.0245253	https://doi.org/10.1371/journal.pone.0245253	VERB
iajs-3885	203	2	https://doi.org/10.1166/jctn.2022.1003	https://doi.org/10.1166/jctn.2022.1003	PROPN
iajs-3885	203	3	https://doi.org/10.21608/ajsb.2022.118003	https://doi.org/10.21608/ajsb.2022.118003	PROPN
iajs-3885	203	4	https://doi.org/10.9734/ajps/2022/v19i130441	https://doi.org/10.9734/ajps/2022/v19i130441	PROPN
iajs-3885	203	5	https://doi.org/10.1016/j.rinp.2022.105339	https://doi.org/10.1016/j.rinp.2022.105339	ADJ
iajs-3885	203	6	https://doi.org/10.35378/gujs.868555	https://doi.org/10.35378/gujs.868555	NOUN
iajs-3885	203	7	https://doi.org/10.18187/pjsor.v18i2.3515	https://doi.org/10.18187/pjsor.v18i2.3515	X
iajs-3885	203	8	https://doi.org/10.3390/math10193419	https://doi.org/10.3390/math10193419	NOUN
iajs-3885	203	9	https://doi.org/10.22541/au.168963153.36742019/v1	https://doi.org/10.22541/au.168963153.36742019/v1	PUNCT