id	sid	tid	token	lemma	pos
iajs-4064	1	1	340	340	NUM
iajs-4064	1	2	©	©	ADP
iajs-4064	1	3	2025	2025	NUM
iajs-4064	1	4	the	the	DET
iajs-4064	1	5	author(s	author(s	NOUN
iajs-4064	1	6	)	)	PUNCT
iajs-4064	1	7	.	.	PUNCT
iajs-4064	2	1	published	publish	VERB
iajs-4064	2	2	by	by	ADP
iajs-4064	2	3	college	college	NOUN
iajs-4064	2	4	of	of	ADP
iajs-4064	2	5	education	education	NOUN
iajs-4064	2	6	for	for	ADP
iajs-4064	2	7	pure	pure	ADJ
iajs-4064	2	8	science	science	NOUN
iajs-4064	2	9	(	(	PUNCT
iajs-4064	2	10	ibn	ibn	PROPN
iajs-4064	2	11	al	al	PROPN
iajs-4064	2	12	-	-	PUNCT
iajs-4064	2	13	haitham	haitham	PROPN
iajs-4064	2	14	)	)	PUNCT
iajs-4064	2	15	,	,	PUNCT
iajs-4064	2	16	university	university	NOUN
iajs-4064	2	17	of	of	ADP
iajs-4064	2	18	baghdad	baghdad	PROPN
iajs-4064	2	19	.	.	PUNCT
iajs-4064	3	1	this	this	PRON
iajs-4064	3	2	is	be	AUX
iajs-4064	3	3	an	an	DET
iajs-4064	3	4	open	open	ADJ
iajs-4064	3	5	-	-	PUNCT
iajs-4064	3	6	access	access	NOUN
iajs-4064	3	7	article	article	NOUN
iajs-4064	3	8	distributed	distribute	VERB
iajs-4064	3	9	under	under	ADP
iajs-4064	3	10	the	the	DET
iajs-4064	3	11	terms	term	NOUN
iajs-4064	3	12	of	of	ADP
iajs-4064	3	13	the	the	DET
iajs-4064	3	14	creative	creative	ADJ
iajs-4064	3	15	commons	common	NOUN
iajs-4064	3	16	attribution	attribution	NOUN
iajs-4064	3	17	4.0	4.0	NUM
iajs-4064	3	18	international	international	ADJ
iajs-4064	3	19	license	license	NOUN
iajs-4064	3	20	new	new	ADJ
iajs-4064	3	21	exponentiated	exponentiate	VERB
iajs-4064	3	22	exponentialrayleigh	exponentialrayleigh	NOUN
iajs-4064	3	23	distribution	distribution	NOUN
iajs-4064	3	24	:	:	PUNCT
iajs-4064	3	25	structure	structure	NOUN
iajs-4064	3	26	and	and	CCONJ
iajs-4064	3	27	properties	property	NOUN
iajs-4064	3	28	dorgham	dorgham	VERB
iajs-4064	3	29	ali	ali	PROPN
iajs-4064	3	30	hamza	hamza	PROPN
iajs-4064	3	31	1	1	NUM
iajs-4064	3	32	,	,	PUNCT
iajs-4064	4	1	maysaa	maysaa	PROPN
iajs-4064	4	2	jalil	jalil	PROPN
iajs-4064	4	3	mohammed	mohammed	PROPN
iajs-4064	4	4	2	2	PROPN
iajs-4064	4	5	,	,	PUNCT
iajs-4064	4	6	*	*	PUNCT
iajs-4064	4	7	,	,	PUNCT
iajs-4064	4	8	and	and	CCONJ
iajs-4064	4	9	umar	umar	PROPN
iajs-4064	4	10	yusuf	yusuf	PROPN
iajs-4064	4	11	madaki	madaki	PROPN
iajs-4064	4	12	3	3	NUM
iajs-4064	4	13	1,2	1,2	NUM
iajs-4064	4	14	department	department	NOUN
iajs-4064	4	15	of	of	ADP
iajs-4064	4	16	mathematics	mathematic	NOUN
iajs-4064	4	17	,	,	PUNCT
iajs-4064	4	18	college	college	NOUN
iajs-4064	4	19	of	of	ADP
iajs-4064	4	20	education	education	NOUN
iajs-4064	4	21	for	for	ADP
iajs-4064	4	22	pure	pure	ADJ
iajs-4064	4	23	sciences	science	NOUN
iajs-4064	4	24	(	(	PUNCT
iajs-4064	4	25	ibn	ibn	PROPN
iajs-4064	4	26	al	al	PROPN
iajs-4064	4	27	-	-	PUNCT
iajs-4064	4	28	haitham	haitham	PROPN
iajs-4064	4	29	)	)	PUNCT
iajs-4064	4	30	,	,	PUNCT
iajs-4064	4	31	university	university	NOUN
iajs-4064	4	32	of	of	ADP
iajs-4064	4	33	baghdad	baghdad	PROPN
iajs-4064	4	34	,	,	PUNCT
iajs-4064	4	35	baghdad	baghdad	PROPN
iajs-4064	4	36	,	,	PUNCT
iajs-4064	4	37	iraq	iraq	PROPN
iajs-4064	4	38	.	.	PUNCT
iajs-4064	5	1	3	3	NUM
iajs-4064	5	2	department	department	NOUN
iajs-4064	5	3	of	of	ADP
iajs-4064	5	4	mathematics	mathematic	NOUN
iajs-4064	5	5	and	and	CCONJ
iajs-4064	5	6	statistics	statistic	NOUN
iajs-4064	5	7	,	,	PUNCT
iajs-4064	5	8	faculty	faculty	NOUN
iajs-4064	5	9	of	of	ADP
iajs-4064	5	10	sciences	science	NOUN
iajs-4064	5	11	,	,	PUNCT
iajs-4064	5	12	yobe	yobe	PROPN
iajs-4064	5	13	state	state	PROPN
iajs-4064	5	14	university	university	NOUN
iajs-4064	5	15	damaturu	damaturu	NOUN
iajs-4064	5	16	,	,	PUNCT
iajs-4064	5	17	nigeria	nigeria	PROPN
iajs-4064	5	18	.	.	PUNCT
iajs-4064	6	1	*	*	PUNCT
iajs-4064	6	2	corresponding	correspond	VERB
iajs-4064	6	3	author	author	NOUN
iajs-4064	6	4	.	.	PUNCT
iajs-4064	7	1	received	receive	VERB
iajs-4064	7	2	:	:	PUNCT
iajs-4064	7	3	2	2	NUM
iajs-4064	7	4	december	december	PROPN
iajs-4064	7	5	2024	2024	NUM
iajs-4064	7	6	accepted	accept	VERB
iajs-4064	7	7	:	:	PUNCT
iajs-4064	7	8	24	24	NUM
iajs-4064	7	9	april	april	PROPN
iajs-4064	7	10	2025	2025	NUM
iajs-4064	7	11	published	publish	VERB
iajs-4064	7	12	:	:	PUNCT
iajs-4064	7	13	20	20	NUM
iajs-4064	7	14	october	october	NOUN
iajs-4064	7	15	2025	2025	NUM
iajs-4064	7	16	doi.org/10.30526/38.4.4064	doi.org/10.30526/38.4.4064	NOUN
iajs-4064	7	17	abstract	abstract	ADV
iajs-4064	7	18	in	in	ADP
iajs-4064	7	19	this	this	DET
iajs-4064	7	20	research	research	NOUN
iajs-4064	7	21	,	,	PUNCT
iajs-4064	7	22	we	we	PRON
iajs-4064	7	23	will	will	AUX
iajs-4064	7	24	introduce	introduce	VERB
iajs-4064	7	25	a	a	DET
iajs-4064	7	26	new	new	ADJ
iajs-4064	7	27	distribution	distribution	NOUN
iajs-4064	7	28	,	,	PUNCT
iajs-4064	7	29	which	which	PRON
iajs-4064	7	30	is	be	AUX
iajs-4064	7	31	called	call	VERB
iajs-4064	7	32	the	the	DET
iajs-4064	7	33	new	new	ADJ
iajs-4064	7	34	exponentiated	exponentiated	ADJ
iajs-4064	7	35	exponential	exponential	ADJ
iajs-4064	7	36	-	-	PUNCT
iajs-4064	7	37	rayleigh	rayleigh	NOUN
iajs-4064	7	38	distribution	distribution	NOUN
iajs-4064	7	39	,	,	PUNCT
iajs-4064	7	40	which	which	PRON
iajs-4064	7	41	is	be	AUX
iajs-4064	7	42	built	build	VERB
iajs-4064	7	43	by	by	ADP
iajs-4064	7	44	adding	add	VERB
iajs-4064	7	45	the	the	DET
iajs-4064	7	46	shape	shape	NOUN
iajs-4064	7	47	parameter	parameter	NOUN
iajs-4064	7	48	to	to	ADP
iajs-4064	7	49	the	the	DET
iajs-4064	7	50	cumulative	cumulative	ADJ
iajs-4064	7	51	function	function	NOUN
iajs-4064	7	52	of	of	ADP
iajs-4064	7	53	the	the	DET
iajs-4064	7	54	exponential	exponential	ADJ
iajs-4064	7	55	-	-	PUNCT
iajs-4064	7	56	rayleigh	rayleigh	NOUN
iajs-4064	7	57	distribution	distribution	NOUN
iajs-4064	7	58	resulting	result	VERB
iajs-4064	7	59	from	from	ADP
iajs-4064	7	60	merging	merge	VERB
iajs-4064	7	61	the	the	DET
iajs-4064	7	62	cdf	cdf	PROPN
iajs-4064	7	63	function	function	NOUN
iajs-4064	7	64	of	of	ADP
iajs-4064	7	65	three	three	NUM
iajs-4064	7	66	parameters	parameter	NOUN
iajs-4064	7	67	continuous	continuous	ADJ
iajs-4064	7	68	distribution	distribution	NOUN
iajs-4064	7	69	.	.	PUNCT
iajs-4064	8	1	two	two	NUM
iajs-4064	8	2	of	of	ADP
iajs-4064	8	3	these	these	DET
iajs-4064	8	4	parameters	parameter	NOUN
iajs-4064	8	5	are	be	AUX
iajs-4064	8	6	scale	scale	NOUN
iajs-4064	8	7	parameters	parameter	NOUN
iajs-4064	8	8	,	,	PUNCT
iajs-4064	8	9	and	and	CCONJ
iajs-4064	8	10	another	another	PRON
iajs-4064	8	11	is	be	AUX
iajs-4064	8	12	the	the	DET
iajs-4064	8	13	shape	shape	NOUN
iajs-4064	8	14	parameter	parameter	NOUN
iajs-4064	8	15	and	and	CCONJ
iajs-4064	8	16	this	this	PRON
iajs-4064	8	17	is	be	AUX
iajs-4064	8	18	to	to	PART
iajs-4064	8	19	make	make	VERB
iajs-4064	8	20	this	this	DET
iajs-4064	8	21	new	new	ADJ
iajs-4064	8	22	continuous	continuous	ADJ
iajs-4064	8	23	statistical	statistical	ADJ
iajs-4064	8	24	distribution	distribution	NOUN
iajs-4064	8	25	more	more	ADV
iajs-4064	8	26	flexible	flexible	ADJ
iajs-4064	8	27	than	than	ADP
iajs-4064	8	28	other	other	ADJ
iajs-4064	8	29	continuous	continuous	ADJ
iajs-4064	8	30	statistical	statistical	ADJ
iajs-4064	8	31	distributions	distribution	NOUN
iajs-4064	8	32	.	.	PUNCT
iajs-4064	9	1	besides	besides	ADV
iajs-4064	9	2	,	,	PUNCT
iajs-4064	9	3	discuss	discuss	VERB
iajs-4064	9	4	the	the	DET
iajs-4064	9	5	mathematical	mathematical	ADJ
iajs-4064	9	6	and	and	CCONJ
iajs-4064	9	7	statistical	statistical	ADJ
iajs-4064	9	8	properties	property	NOUN
iajs-4064	9	9	of	of	ADP
iajs-4064	9	10	this	this	DET
iajs-4064	9	11	new	new	ADJ
iajs-4064	9	12	distribution	distribution	NOUN
iajs-4064	9	13	,	,	PUNCT
iajs-4064	9	14	including	include	VERB
iajs-4064	9	15	(	(	PUNCT
iajs-4064	9	16	the	the	DET
iajs-4064	9	17	mode	mode	NOUN
iajs-4064	9	18	,	,	PUNCT
iajs-4064	9	19	the	the	DET
iajs-4064	9	20	median	median	NOUN
iajs-4064	9	21	,	,	PUNCT
iajs-4064	9	22	the	the	DET
iajs-4064	9	23	moments	moment	NOUN
iajs-4064	9	24	about	about	ADP
iajs-4064	9	25	the	the	DET
iajs-4064	9	26	origin	origin	NOUN
iajs-4064	9	27	,	,	PUNCT
iajs-4064	9	28	the	the	DET
iajs-4064	9	29	coefficients	coefficient	NOUN
iajs-4064	9	30	of	of	ADP
iajs-4064	9	31	skewness	skewness	NOUN
iajs-4064	9	32	and	and	CCONJ
iajs-4064	9	33	kurtosis	kurtosis	NOUN
iajs-4064	9	34	,	,	PUNCT
iajs-4064	9	35	the	the	DET
iajs-4064	9	36	characteristic	characteristic	ADJ
iajs-4064	9	37	function	function	NOUN
iajs-4064	9	38	,	,	PUNCT
iajs-4064	9	39	the	the	DET
iajs-4064	9	40	moment	moment	NOUN
iajs-4064	9	41	-	-	PUNCT
iajs-4064	9	42	generating	generate	VERB
iajs-4064	9	43	function	function	NOUN
iajs-4064	9	44	,	,	PUNCT
iajs-4064	9	45	the	the	DET
iajs-4064	9	46	factorial	factorial	ADJ
iajs-4064	9	47	moments	moment	NOUN
iajs-4064	9	48	-	-	PUNCT
iajs-4064	9	49	generating	generate	VERB
iajs-4064	9	50	function	function	NOUN
iajs-4064	9	51	,	,	PUNCT
iajs-4064	9	52	and	and	CCONJ
iajs-4064	9	53	the	the	DET
iajs-4064	9	54	mean	mean	ADJ
iajs-4064	9	55	time	time	NOUN
iajs-4064	9	56	to	to	ADP
iajs-4064	9	57	failure	failure	NOUN
iajs-4064	9	58	)	)	PUNCT
iajs-4064	9	59	.	.	PUNCT
iajs-4064	10	1	the	the	DET
iajs-4064	10	2	shape	shape	NOUN
iajs-4064	10	3	property	property	NOUN
iajs-4064	10	4	of	of	ADP
iajs-4064	10	5	each	each	PRON
iajs-4064	10	6	of	of	ADP
iajs-4064	10	7	the	the	DET
iajs-4064	10	8	pdf	pdf	NOUN
iajs-4064	10	9	,	,	PUNCT
iajs-4064	10	10	cdf	cdf	PROPN
iajs-4064	10	11	,	,	PUNCT
iajs-4064	10	12	and	and	CCONJ
iajs-4064	10	13	hazard	hazard	NOUN
iajs-4064	10	14	functions	function	NOUN
iajs-4064	10	15	was	be	AUX
iajs-4064	10	16	also	also	ADV
iajs-4064	10	17	studied	study	VERB
iajs-4064	10	18	.	.	PUNCT
iajs-4064	11	1	multiple	multiple	ADJ
iajs-4064	11	2	shapes	shape	NOUN
iajs-4064	11	3	were	be	AUX
iajs-4064	11	4	drawn	draw	VERB
iajs-4064	11	5	with	with	ADP
iajs-4064	11	6	different	different	ADJ
iajs-4064	11	7	parameter	parameter	NOUN
iajs-4064	11	8	values	value	NOUN
iajs-4064	11	9	for	for	ADP
iajs-4064	11	10	each	each	PRON
iajs-4064	11	11	of	of	ADP
iajs-4064	11	12	the	the	DET
iajs-4064	11	13	pdf	pdf	NOUN
iajs-4064	11	14	,	,	PUNCT
iajs-4064	11	15	cdf	cdf	PROPN
iajs-4064	11	16	,	,	PUNCT
iajs-4064	11	17	survival	survival	NOUN
iajs-4064	11	18	,	,	PUNCT
iajs-4064	11	19	and	and	CCONJ
iajs-4064	11	20	hazard	hazard	NOUN
iajs-4064	11	21	functions	function	NOUN
iajs-4064	11	22	.	.	PUNCT
iajs-4064	12	1	an	an	DET
iajs-4064	12	2	organisational	organisational	ADJ
iajs-4064	12	3	table	table	NOUN
iajs-4064	12	4	was	be	AUX
iajs-4064	12	5	also	also	ADV
iajs-4064	12	6	created	create	VERB
iajs-4064	12	7	for	for	ADP
iajs-4064	12	8	some	some	PRON
iajs-4064	12	9	of	of	ADP
iajs-4064	12	10	these	these	DET
iajs-4064	12	11	properties	property	NOUN
iajs-4064	12	12	.	.	PUNCT
iajs-4064	13	1	keywords	keyword	NOUN
iajs-4064	13	2	:	:	PUNCT
iajs-4064	13	3	exponential	exponential	ADJ
iajs-4064	13	4	distribution	distribution	NOUN
iajs-4064	13	5	,	,	PUNCT
iajs-4064	13	6	rayleigh	rayleigh	ADJ
iajs-4064	13	7	distribution	distribution	NOUN
iajs-4064	13	8	,	,	PUNCT
iajs-4064	13	9	exponential	exponential	ADJ
iajs-4064	13	10	rayleigh	rayleigh	NOUN
iajs-4064	13	11	distribution	distribution	NOUN
iajs-4064	13	12	,	,	PUNCT
iajs-4064	13	13	moments	moment	NOUN
iajs-4064	13	14	about	about	ADP
iajs-4064	13	15	the	the	DET
iajs-4064	13	16	origin	origin	NOUN
iajs-4064	13	17	,	,	PUNCT
iajs-4064	13	18	quantile	quantile	ADJ
iajs-4064	13	19	function	function	NOUN
iajs-4064	13	20	.	.	PUNCT
iajs-4064	14	1	1	1	X
iajs-4064	14	2	.	.	X
iajs-4064	14	3	introduction	introduction	NOUN
iajs-4064	14	4	in	in	ADP
iajs-4064	14	5	order	order	NOUN
iajs-4064	14	6	for	for	SCONJ
iajs-4064	14	7	statistical	statistical	ADJ
iajs-4064	14	8	distributions	distribution	NOUN
iajs-4064	14	9	to	to	PART
iajs-4064	14	10	be	be	AUX
iajs-4064	14	11	important	important	ADJ
iajs-4064	14	12	tools	tool	NOUN
iajs-4064	14	13	in	in	ADP
iajs-4064	14	14	various	various	ADJ
iajs-4064	14	15	disciplines	discipline	NOUN
iajs-4064	14	16	,	,	PUNCT
iajs-4064	14	17	these	these	DET
iajs-4064	14	18	distributions	distribution	NOUN
iajs-4064	14	19	had	have	VERB
iajs-4064	14	20	to	to	PART
iajs-4064	14	21	be	be	AUX
iajs-4064	14	22	flexible	flexible	ADJ
iajs-4064	14	23	distributions	distribution	NOUN
iajs-4064	14	24	that	that	PRON
iajs-4064	14	25	help	help	VERB
iajs-4064	14	26	in	in	ADP
iajs-4064	14	27	understanding	understand	VERB
iajs-4064	14	28	the	the	DET
iajs-4064	14	29	data	datum	NOUN
iajs-4064	14	30	(	(	PUNCT
iajs-4064	14	31	1	1	NUM
iajs-4064	14	32	-	-	SYM
iajs-4064	14	33	3	3	NUM
iajs-4064	14	34	)	)	PUNCT
iajs-4064	14	35	.	.	PUNCT
iajs-4064	15	1	because	because	SCONJ
iajs-4064	15	2	the	the	DET
iajs-4064	15	3	current	current	ADJ
iajs-4064	15	4	distributions	distribution	NOUN
iajs-4064	15	5	are	be	AUX
iajs-4064	15	6	restricted	restrict	VERB
iajs-4064	15	7	distributions	distribution	NOUN
iajs-4064	15	8	and	and	CCONJ
iajs-4064	15	9	these	these	DET
iajs-4064	15	10	restrictions	restriction	NOUN
iajs-4064	15	11	make	make	VERB
iajs-4064	15	12	them	they	PRON
iajs-4064	15	13	insufficient	insufficient	ADJ
iajs-4064	15	14	in	in	ADP
iajs-4064	15	15	modelling	model	VERB
iajs-4064	15	16	diverse	diverse	ADJ
iajs-4064	15	17	data	datum	NOUN
iajs-4064	15	18	,	,	PUNCT
iajs-4064	15	19	many	many	ADJ
iajs-4064	15	20	scientists	scientist	NOUN
iajs-4064	15	21	have	have	AUX
iajs-4064	15	22	resorted	resort	VERB
iajs-4064	15	23	to	to	ADP
iajs-4064	15	24	integrating	integrate	VERB
iajs-4064	15	25	or	or	CCONJ
iajs-4064	15	26	adding	add	VERB
iajs-4064	15	27	a	a	DET
iajs-4064	15	28	new	new	ADJ
iajs-4064	15	29	parameter	parameter	NOUN
iajs-4064	15	30	to	to	ADP
iajs-4064	15	31	these	these	DET
iajs-4064	15	32	distributions	distribution	NOUN
iajs-4064	15	33	in	in	ADP
iajs-4064	15	34	order	order	NOUN
iajs-4064	15	35	to	to	PART
iajs-4064	15	36	be	be	AUX
iajs-4064	15	37	more	more	ADV
iajs-4064	15	38	flexible	flexible	ADJ
iajs-4064	15	39	(	(	PUNCT
iajs-4064	15	40	4	4	NUM
iajs-4064	15	41	-	-	SYM
iajs-4064	15	42	6	6	NUM
iajs-4064	15	43	)	)	PUNCT
iajs-4064	15	44	.	.	PUNCT
iajs-4064	16	1	there	there	PRON
iajs-4064	16	2	are	be	VERB
iajs-4064	16	3	several	several	ADJ
iajs-4064	16	4	methods	method	NOUN
iajs-4064	16	5	to	to	PART
iajs-4064	16	6	add	add	VERB
iajs-4064	16	7	a	a	DET
iajs-4064	16	8	new	new	ADJ
iajs-4064	16	9	parameter	parameter	NOUN
iajs-4064	16	10	to	to	ADP
iajs-4064	16	11	statistical	statistical	ADJ
iajs-4064	16	12	distributions	distribution	NOUN
iajs-4064	16	13	,	,	PUNCT
iajs-4064	16	14	among	among	ADP
iajs-4064	16	15	these	these	DET
iajs-4064	16	16	methods	method	NOUN
iajs-4064	16	17	is	be	AUX
iajs-4064	16	18	adding	add	VERB
iajs-4064	16	19	a	a	DET
iajs-4064	16	20	new	new	ADJ
iajs-4064	16	21	parameter	parameter	NOUN
iajs-4064	16	22	to	to	ADP
iajs-4064	16	23	the	the	DET
iajs-4064	16	24	cumulative	cumulative	ADJ
iajs-4064	16	25	distribution	distribution	NOUN
iajs-4064	16	26	function	function	NOUN
iajs-4064	16	27	(	(	PUNCT
iajs-4064	16	28	cdf	cdf	PROPN
iajs-4064	16	29	)	)	PUNCT
iajs-4064	16	30	(	(	PUNCT
iajs-4064	16	31	7	7	NUM
iajs-4064	16	32	,	,	PUNCT
iajs-4064	16	33	8)	8)	NUM
iajs-4064	16	34	.	.	PUNCT
iajs-4064	17	1	there	there	PRON
iajs-4064	17	2	have	have	AUX
iajs-4064	17	3	been	be	AUX
iajs-4064	17	4	many	many	ADJ
iajs-4064	17	5	scientists	scientist	NOUN
iajs-4064	17	6	who	who	PRON
iajs-4064	17	7	have	have	AUX
iajs-4064	17	8	followed	follow	VERB
iajs-4064	17	9	this	this	DET
iajs-4064	17	10	method	method	NOUN
iajs-4064	17	11	to	to	PART
iajs-4064	17	12	add	add	VERB
iajs-4064	17	13	a	a	DET
iajs-4064	17	14	new	new	ADJ
iajs-4064	17	15	parameter	parameter	NOUN
iajs-4064	17	16	to	to	ADP
iajs-4064	17	17	the	the	DET
iajs-4064	17	18	distribution	distribution	NOUN
iajs-4064	17	19	(	(	PUNCT
iajs-4064	17	20	9,10	9,10	NUM
iajs-4064	17	21	)	)	PUNCT
iajs-4064	17	22	.	.	PUNCT
iajs-4064	18	1	in	in	ADP
iajs-4064	18	2	2008	2008	NUM
iajs-4064	18	3	,	,	PUNCT
iajs-4064	18	4	it	it	PRON
iajs-4064	18	5	was	be	AUX
iajs-4064	18	6	presented	present	VERB
iajs-4064	18	7	the	the	DET
iajs-4064	18	8	exponentiated	exponentiated	ADJ
iajs-4064	18	9	exponential	exponential	ADJ
iajs-4064	18	10	distribution	distribution	NOUN
iajs-4064	18	11	,	,	PUNCT
iajs-4064	18	12	a	a	DET
iajs-4064	18	13	novel	novel	ADJ
iajs-4064	18	14	distribution	distribution	NOUN
iajs-4064	18	15	that	that	PRON
iajs-4064	18	16	serves	serve	VERB
iajs-4064	18	17	as	as	ADP
iajs-4064	18	18	a	a	DET
iajs-4064	18	19	failure	failure	NOUN
iajs-4064	18	20	time	time	NOUN
iajs-4064	18	21	distribution	distribution	NOUN
iajs-4064	18	22	or	or	CCONJ
iajs-4064	18	23	the	the	DET
iajs-4064	18	24	generalised	generalise	VERB
iajs-4064	18	25	exponential	exponential	ADJ
iajs-4064	18	26	distribution	distribution	NOUN
iajs-4064	18	27	(	(	PUNCT
iajs-4064	18	28	11	11	NUM
iajs-4064	18	29	)	)	PUNCT
iajs-4064	18	30	.	.	PUNCT
iajs-4064	19	1	in	in	ADP
iajs-4064	19	2	2010	2010	NUM
iajs-4064	19	3	,	,	PUNCT
iajs-4064	19	4	it	it	PRON
iajs-4064	19	5	was	be	AUX
iajs-4064	19	6	presented	present	VERB
iajs-4064	19	7	a	a	DET
iajs-4064	19	8	study	study	NOUN
iajs-4064	19	9	on	on	ADP
iajs-4064	19	10	a	a	DET
iajs-4064	19	11	mixture	mixture	NOUN
iajs-4064	19	12	of	of	ADP
iajs-4064	19	13	the	the	DET
iajs-4064	19	14	pareto	pareto	ADJ
iajs-4064	19	15	distribution	distribution	NOUN
iajs-4064	19	16	and	and	CCONJ
iajs-4064	19	17	the	the	DET
iajs-4064	19	18	exponentiated	exponentiated	ADJ
iajs-4064	19	19	mailto	mailto	PROPN
iajs-4064	19	20	:	:	PUNCT
iajs-4064	19	21	https://orcid.org/0009	https://orcid.org/0009	NOUN
iajs-4064	19	22	-	-	PUNCT
iajs-4064	19	23	0009	0009	NUM
iajs-4064	19	24	-	-	PUNCT
iajs-4064	19	25	0187	0187	NUM
iajs-4064	19	26	-	-	PUNCT
iajs-4064	19	27	5419	5419	NUM
iajs-4064	19	28	mailto:dorgham.ali2203m@ihcoedu.uobaghdad.edu.iq	mailto:dorgham.ali2203m@ihcoedu.uobaghdad.edu.iq	NOUN
iajs-4064	19	29	mailto	mailto	NOUN
iajs-4064	19	30	:	:	PUNCT
iajs-4064	19	31	https://orcid.org/0000	https://orcid.org/0000	X
iajs-4064	19	32	-	-	PUNCT
iajs-4064	19	33	0002	0002	NUM
iajs-4064	19	34	-	-	PUNCT
iajs-4064	19	35	9155	9155	NUM
iajs-4064	19	36	-	-	SYM
iajs-4064	19	37	7159	7159	NUM
iajs-4064	19	38	mailto:maysaa.j.m@ihcoedu.uobaghdad.edu.iq	mailto:maysaa.j.m@ihcoedu.uobaghdad.edu.iq	NOUN
iajs-4064	19	39	https://orcid.org/0000-0002-2242-9698	https://orcid.org/0000-0002-2242-9698	PROPN
iajs-4064	19	40	mailto:uymadaki84@gmail.com	mailto:uymadaki84@gmail.com	PROPN
iajs-4064	19	41	mailto	mailto	PROPN
iajs-4064	19	42	:	:	PUNCT
iajs-4064	19	43	https://orcid.org/0009	https://orcid.org/0009	NOUN
iajs-4064	19	44	-	-	PUNCT
iajs-4064	19	45	0009	0009	NUM
iajs-4064	19	46	-	-	PUNCT
iajs-4064	19	47	0187	0187	NUM
iajs-4064	19	48	-	-	PUNCT
iajs-4064	19	49	5419	5419	NUM
iajs-4064	19	50	mailto:dorgham.ali2203m@ihcoedu.uobaghdad.edu.iq	mailto:dorgham.ali2203m@ihcoedu.uobaghdad.edu.iq	NOUN
iajs-4064	19	51	mailto	mailto	NOUN
iajs-4064	19	52	:	:	PUNCT
iajs-4064	19	53	https://orcid.org/0000	https://orcid.org/0000	X
iajs-4064	19	54	-	-	PUNCT
iajs-4064	19	55	0002	0002	NUM
iajs-4064	19	56	-	-	PUNCT
iajs-4064	19	57	9155	9155	NUM
iajs-4064	19	58	-	-	SYM
iajs-4064	19	59	7159	7159	NUM
iajs-4064	19	60	mailto:maysaa.j.m@ihcoedu.uobaghdad.edu.iq	mailto:maysaa.j.m@ihcoedu.uobaghdad.edu.iq	NOUN
iajs-4064	19	61	https://orcid.org/0000-0002-2242-9698	https://orcid.org/0000-0002-2242-9698	PROPN
iajs-4064	19	62	mailto:uymadaki84@gmail.com	mailto:uymadaki84@gmail.com	PROPN
iajs-4064	19	63	mailto	mailto	PROPN
iajs-4064	19	64	:	:	PUNCT
iajs-4064	19	65	https://orcid.org/0009	https://orcid.org/0009	NOUN
iajs-4064	19	66	-	-	PUNCT
iajs-4064	19	67	0009	0009	NUM
iajs-4064	19	68	-	-	PUNCT
iajs-4064	19	69	0187	0187	NUM
iajs-4064	19	70	-	-	PUNCT
iajs-4064	19	71	5419	5419	NUM
iajs-4064	19	72	mailto:dorgham.ali2203m@ihcoedu.uobaghdad.edu.iq	mailto:dorgham.ali2203m@ihcoedu.uobaghdad.edu.iq	NOUN
iajs-4064	19	73	mailto	mailto	NOUN
iajs-4064	19	74	:	:	PUNCT
iajs-4064	19	75	https://orcid.org/0000	https://orcid.org/0000	X
iajs-4064	19	76	-	-	PUNCT
iajs-4064	19	77	0002	0002	NUM
iajs-4064	19	78	-	-	PUNCT
iajs-4064	19	79	9155	9155	NUM
iajs-4064	19	80	-	-	SYM
iajs-4064	19	81	7159	7159	NUM
iajs-4064	19	82	mailto:maysaa.j.m@ihcoedu.uobaghdad.edu.iq	mailto:maysaa.j.m@ihcoedu.uobaghdad.edu.iq	NOUN
iajs-4064	19	83	https://orcid.org/0000-0002-2242-9698	https://orcid.org/0000-0002-2242-9698	PROPN
iajs-4064	19	84	mailto:uymadaki84@gmail.com	mailto:uymadaki84@gmail.com	PROPN
iajs-4064	19	85	mailto	mailto	PROPN
iajs-4064	19	86	:	:	PUNCT
iajs-4064	19	87	https://orcid.org/0009	https://orcid.org/0009	NOUN
iajs-4064	19	88	-	-	PUNCT
iajs-4064	19	89	0009	0009	NUM
iajs-4064	19	90	-	-	PUNCT
iajs-4064	19	91	0187	0187	NUM
iajs-4064	19	92	-	-	PUNCT
iajs-4064	19	93	5419	5419	NUM
iajs-4064	19	94	mailto:dorgham.ali2203m@ihcoedu.uobaghdad.edu.iq	mailto:dorgham.ali2203m@ihcoedu.uobaghdad.edu.iq	NOUN
iajs-4064	19	95	mailto	mailto	NOUN
iajs-4064	19	96	:	:	PUNCT
iajs-4064	19	97	https://orcid.org/0000	https://orcid.org/0000	X
iajs-4064	19	98	-	-	PUNCT
iajs-4064	19	99	0002	0002	NUM
iajs-4064	19	100	-	-	PUNCT
iajs-4064	19	101	9155	9155	NUM
iajs-4064	19	102	-	-	SYM
iajs-4064	19	103	7159	7159	NUM
iajs-4064	19	104	mailto:maysaa.j.m@ihcoedu.uobaghdad.edu.iq	mailto:maysaa.j.m@ihcoedu.uobaghdad.edu.iq	NOUN
iajs-4064	19	105	https://orcid.org/0000-0002-2242-9698	https://orcid.org/0000-0002-2242-9698	PROPN
iajs-4064	19	106	mailto:uymadaki84@gmail.com	mailto:uymadaki84@gmail.com	PROPN
iajs-4064	19	107	mailto	mailto	PROPN
iajs-4064	19	108	:	:	PUNCT
iajs-4064	19	109	https://orcid.org/0009	https://orcid.org/0009	NOUN
iajs-4064	19	110	-	-	PUNCT
iajs-4064	19	111	0009	0009	NUM
iajs-4064	19	112	-	-	PUNCT
iajs-4064	19	113	0187	0187	NUM
iajs-4064	19	114	-	-	PUNCT
iajs-4064	19	115	5419	5419	NUM
iajs-4064	19	116	mailto:dorgham.ali2203m@ihcoedu.uobaghdad.edu.iq	mailto:dorgham.ali2203m@ihcoedu.uobaghdad.edu.iq	NOUN
iajs-4064	19	117	mailto	mailto	NOUN
iajs-4064	19	118	:	:	PUNCT
iajs-4064	19	119	https://orcid.org/0000	https://orcid.org/0000	X
iajs-4064	19	120	-	-	PUNCT
iajs-4064	19	121	0002	0002	NUM
iajs-4064	19	122	-	-	PUNCT
iajs-4064	19	123	9155	9155	NUM
iajs-4064	19	124	-	-	SYM
iajs-4064	19	125	7159	7159	NUM
iajs-4064	19	126	mailto:maysaa.j.m@ihcoedu.uobaghdad.edu.iq	mailto:maysaa.j.m@ihcoedu.uobaghdad.edu.iq	NOUN
iajs-4064	19	127	https://orcid.org/0000-0002-2242-9698	https://orcid.org/0000-0002-2242-9698	PROPN
iajs-4064	19	128	mailto:uymadaki84@gmail.com	mailto:uymadaki84@gmail.com	PROPN
iajs-4064	19	129	mailto	mailto	PROPN
iajs-4064	19	130	:	:	PUNCT
iajs-4064	19	131	https://orcid.org/0009	https://orcid.org/0009	NOUN
iajs-4064	19	132	-	-	PUNCT
iajs-4064	19	133	0009	0009	NUM
iajs-4064	19	134	-	-	PUNCT
iajs-4064	19	135	0187	0187	NUM
iajs-4064	19	136	-	-	PUNCT
iajs-4064	19	137	5419	5419	NUM
iajs-4064	19	138	mailto:dorgham.ali2203m@ihcoedu.uobaghdad.edu.iq	mailto:dorgham.ali2203m@ihcoedu.uobaghdad.edu.iq	NOUN
iajs-4064	19	139	mailto	mailto	NOUN
iajs-4064	19	140	:	:	PUNCT
iajs-4064	19	141	https://orcid.org/0000	https://orcid.org/0000	X
iajs-4064	19	142	-	-	PUNCT
iajs-4064	19	143	0002	0002	NUM
iajs-4064	19	144	-	-	PUNCT
iajs-4064	19	145	9155	9155	NUM
iajs-4064	19	146	-	-	SYM
iajs-4064	19	147	7159	7159	NUM
iajs-4064	19	148	mailto:maysaa.j.m@ihcoedu.uobaghdad.edu.iq	mailto:maysaa.j.m@ihcoedu.uobaghdad.edu.iq	NOUN
iajs-4064	19	149	https://orcid.org/0000-0002-2242-9698	https://orcid.org/0000-0002-2242-9698	PROPN
iajs-4064	19	150	mailto:uymadaki84@gmail.com	mailto:uymadaki84@gmail.com	PROPN
iajs-4064	19	151	mailto	mailto	PROPN
iajs-4064	19	152	:	:	PUNCT
iajs-4064	19	153	https://orcid.org/0009	https://orcid.org/0009	NOUN
iajs-4064	19	154	-	-	PUNCT
iajs-4064	19	155	0009	0009	NUM
iajs-4064	19	156	-	-	PUNCT
iajs-4064	19	157	0187	0187	NUM
iajs-4064	19	158	-	-	PUNCT
iajs-4064	19	159	5419	5419	NUM
iajs-4064	19	160	mailto:dorgham.ali2203m@ihcoedu.uobaghdad.edu.iq	mailto:dorgham.ali2203m@ihcoedu.uobaghdad.edu.iq	NOUN
iajs-4064	19	161	mailto	mailto	NOUN
iajs-4064	19	162	:	:	PUNCT
iajs-4064	19	163	https://orcid.org/0000	https://orcid.org/0000	X
iajs-4064	19	164	-	-	PUNCT
iajs-4064	19	165	0002	0002	NUM
iajs-4064	19	166	-	-	PUNCT
iajs-4064	19	167	9155	9155	NUM
iajs-4064	19	168	-	-	SYM
iajs-4064	19	169	7159	7159	NUM
iajs-4064	19	170	mailto:maysaa.j.m@ihcoedu.uobaghdad.edu.iq	mailto:maysaa.j.m@ihcoedu.uobaghdad.edu.iq	NOUN
iajs-4064	19	171	https://orcid.org/0000-0002-2242-9698	https://orcid.org/0000-0002-2242-9698	PROPN
iajs-4064	19	172	mailto:uymadaki84@gmail.com	mailto:uymadaki84@gmail.com	PROPN
iajs-4064	19	173	mailto	mailto	PROPN
iajs-4064	19	174	:	:	PUNCT
iajs-4064	19	175	https://orcid.org/0009	https://orcid.org/0009	NOUN
iajs-4064	19	176	-	-	PUNCT
iajs-4064	19	177	0009	0009	NUM
iajs-4064	19	178	-	-	PUNCT
iajs-4064	19	179	0187	0187	NUM
iajs-4064	19	180	-	-	PUNCT
iajs-4064	19	181	5419	5419	NUM
iajs-4064	19	182	mailto:dorgham.ali2203m@ihcoedu.uobaghdad.edu.iq	mailto:dorgham.ali2203m@ihcoedu.uobaghdad.edu.iq	NOUN
iajs-4064	19	183	mailto	mailto	NOUN
iajs-4064	19	184	:	:	PUNCT
iajs-4064	19	185	https://orcid.org/0000	https://orcid.org/0000	X
iajs-4064	19	186	-	-	PUNCT
iajs-4064	19	187	0002	0002	NUM
iajs-4064	19	188	-	-	PUNCT
iajs-4064	19	189	9155	9155	NUM
iajs-4064	19	190	-	-	SYM
iajs-4064	19	191	7159	7159	NUM
iajs-4064	19	192	mailto:maysaa.j.m@ihcoedu.uobaghdad.edu.iq	mailto:maysaa.j.m@ihcoedu.uobaghdad.edu.iq	NOUN
iajs-4064	19	193	https://orcid.org/0000-0002-2242-9698	https://orcid.org/0000-0002-2242-9698	PROPN
iajs-4064	19	194	mailto:uymadaki84@gmail.com	mailto:uymadaki84@gmail.com	PROPN
iajs-4064	19	195	ihjpas	ihjpas	PROPN
iajs-4064	19	196	.	.	PUNCT
iajs-4064	20	1	2025,38(4	2025,38(4	X
iajs-4064	20	2	)	)	PUNCT
iajs-4064	20	3	341	341	NUM
iajs-4064	20	4	exponential	exponential	ADJ
iajs-4064	20	5	distribution	distribution	NOUN
iajs-4064	20	6	(	(	PUNCT
iajs-4064	20	7	12	12	NUM
iajs-4064	20	8	)	)	PUNCT
iajs-4064	20	9	.	.	PUNCT
iajs-4064	21	1	also	also	ADV
iajs-4064	21	2	in	in	ADP
iajs-4064	21	3	2012	2012	NUM
iajs-4064	21	4	,	,	PUNCT
iajs-4064	21	5	it	it	PRON
iajs-4064	21	6	was	be	AUX
iajs-4064	21	7	introduced	introduce	VERB
iajs-4064	21	8	the	the	DET
iajs-4064	21	9	extended	extend	VERB
iajs-4064	21	10	exponentiated	exponentiate	VERB
iajs-4064	21	11	weibull	weibull	NOUN
iajs-4064	21	12	distribution	distribution	NOUN
iajs-4064	21	13	with	with	ADP
iajs-4064	21	14	gamma	gamma	NOUN
iajs-4064	21	15	.	.	PUNCT
iajs-4064	22	1	(	(	PUNCT
iajs-4064	22	2	13	13	NUM
iajs-4064	22	3	)	)	PUNCT
iajs-4064	22	4	,	,	PUNCT
iajs-4064	22	5	also	also	ADV
iajs-4064	22	6	in	in	ADP
iajs-4064	22	7	2012	2012	NUM
iajs-4064	22	8	,	,	PUNCT
iajs-4064	22	9	it	it	PRON
iajs-4064	22	10	was	be	AUX
iajs-4064	22	11	presented	present	VERB
iajs-4064	22	12	the	the	DET
iajs-4064	22	13	inverted	invert	VERB
iajs-4064	22	14	exponentiated	exponentiate	VERB
iajs-4064	22	15	exponential	exponential	ADJ
iajs-4064	22	16	weibull	weibull	NOUN
iajs-4064	22	17	distribution	distribution	NOUN
iajs-4064	22	18	(	(	PUNCT
iajs-4064	22	19	14	14	NUM
iajs-4064	22	20	)	)	PUNCT
iajs-4064	22	21	.	.	PUNCT
iajs-4064	23	1	in	in	ADP
iajs-4064	23	2	2013	2013	NUM
iajs-4064	23	3	,	,	PUNCT
iajs-4064	23	4	it	it	PRON
iajs-4064	23	5	was	be	AUX
iajs-4064	23	6	introduced	introduce	VERB
iajs-4064	23	7	the	the	DET
iajs-4064	23	8	class	class	NOUN
iajs-4064	23	9	of	of	ADP
iajs-4064	23	10	generalised	generalise	VERB
iajs-4064	23	11	exponentiated	exponentiate	VERB
iajs-4064	23	12	exponential	exponential	ADJ
iajs-4064	23	13	distributions	distribution	NOUN
iajs-4064	23	14	,	,	PUNCT
iajs-4064	23	15	which	which	PRON
iajs-4064	23	16	is	be	AUX
iajs-4064	23	17	a	a	DET
iajs-4064	23	18	new	new	ADJ
iajs-4064	23	19	class	class	NOUN
iajs-4064	23	20	of	of	ADP
iajs-4064	23	21	distributions	distribution	NOUN
iajs-4064	23	22	that	that	PRON
iajs-4064	23	23	extends	extend	VERB
iajs-4064	23	24	the	the	DET
iajs-4064	23	25	exponentiated	exponentiated	ADJ
iajs-4064	23	26	exponential	exponential	ADJ
iajs-4064	23	27	type	type	NOUN
iajs-4064	23	28	distributions	distribution	NOUN
iajs-4064	23	29	.	.	PUNCT
iajs-4064	24	1	(	(	PUNCT
iajs-4064	24	2	15	15	NUM
iajs-4064	24	3	)	)	PUNCT
iajs-4064	24	4	,	,	PUNCT
iajs-4064	24	5	also	also	ADV
iajs-4064	24	6	in	in	ADP
iajs-4064	24	7	2013	2013	NUM
iajs-4064	24	8	,	,	PUNCT
iajs-4064	24	9	it	it	PRON
iajs-4064	24	10	was	be	AUX
iajs-4064	24	11	presented	present	VERB
iajs-4064	24	12	the	the	DET
iajs-4064	24	13	extension	extension	NOUN
iajs-4064	24	14	of	of	ADP
iajs-4064	24	15	the	the	DET
iajs-4064	24	16	family	family	NOUN
iajs-4064	24	17	of	of	ADP
iajs-4064	24	18	exponentiated	exponentiated	PROPN
iajs-4064	24	19	exponential	exponential	PROPN
iajs-4064	24	20	t	t	PROPN
iajs-4064	24	21	-	-	PUNCT
iajs-4064	24	22	x	x	NOUN
iajs-4064	24	23	distributions	distribution	NOUN
iajs-4064	24	24	with	with	ADP
iajs-4064	24	25	some	some	DET
iajs-4064	24	26	applications	application	NOUN
iajs-4064	24	27	where	where	SCONJ
iajs-4064	24	28	it	it	PRON
iajs-4064	24	29	was	be	AUX
iajs-4064	24	30	noted	note	VERB
iajs-4064	24	31	hence	hence	ADV
iajs-4064	24	32	,	,	PUNCT
iajs-4064	24	33	the	the	DET
iajs-4064	24	34	t	t	PROPN
iajs-4064	24	35	-	-	PUNCT
iajs-4064	24	36	x	x	NOUN
iajs-4064	24	37	distribution	distribution	NOUN
iajs-4064	24	38	can	can	AUX
iajs-4064	24	39	be	be	AUX
iajs-4064	24	40	generated	generate	VERB
iajs-4064	24	41	with	with	ADP
iajs-4064	24	42	an	an	DET
iajs-4064	24	43	upper	upper	ADJ
iajs-4064	24	44	limit	limit	NOUN
iajs-4064	24	45	of	of	ADP
iajs-4064	24	46	-log	-log	X
iajs-4064	24	47	(	(	PUNCT
iajs-4064	24	48	1	1	NUM
iajs-4064	24	49	-	-	PUNCT
iajs-4064	24	50	f(x	f(x	PROPN
iajs-4064	24	51	)	)	PUNCT
iajs-4064	24	52	)	)	PUNCT
iajs-4064	24	53	,	,	PUNCT
iajs-4064	24	54	and	and	CCONJ
iajs-4064	24	55	it	it	PRON
iajs-4064	24	56	is	be	AUX
iajs-4064	24	57	obvious	obvious	ADJ
iajs-4064	24	58	that	that	SCONJ
iajs-4064	24	59	alternative	alternative	ADJ
iajs-4064	24	60	t	t	PROPN
iajs-4064	24	61	-	-	PUNCT
iajs-4064	24	62	x	x	NOUN
iajs-4064	24	63	distribution	distribution	NOUN
iajs-4064	24	64	types	type	NOUN
iajs-4064	24	65	can	can	AUX
iajs-4064	24	66	be	be	AUX
iajs-4064	24	67	generated	generate	VERB
iajs-4064	24	68	with	with	ADP
iajs-4064	24	69	different	different	ADJ
iajs-4064	24	70	higher	high	ADJ
iajs-4064	24	71	limits	limit	NOUN
iajs-4064	24	72	.	.	PUNCT
iajs-4064	25	1	(	(	PUNCT
iajs-4064	25	2	16	16	NUM
iajs-4064	25	3	)	)	PUNCT
iajs-4064	25	4	.	.	PUNCT
iajs-4064	26	1	also	also	ADV
iajs-4064	26	2	in	in	ADP
iajs-4064	26	3	this	this	DET
iajs-4064	26	4	year	year	NOUN
iajs-4064	26	5	,	,	PUNCT
iajs-4064	26	6	it	it	PRON
iajs-4064	26	7	was	be	AUX
iajs-4064	26	8	presented	present	VERB
iajs-4064	26	9	the	the	DET
iajs-4064	26	10	complementary	complementary	ADJ
iajs-4064	26	11	exponentiated	exponentiate	VERB
iajs-4064	26	12	exponential	exponential	ADJ
iajs-4064	26	13	geometric	geometric	ADJ
iajs-4064	26	14	distribution	distribution	NOUN
iajs-4064	26	15	of	of	ADP
iajs-4064	26	16	life	life	NOUN
iajs-4064	26	17	span	span	NOUN
iajs-4064	26	18	,	,	PUNCT
iajs-4064	26	19	where	where	SCONJ
iajs-4064	26	20	they	they	PRON
iajs-4064	26	21	proposed	propose	VERB
iajs-4064	26	22	expanding	expand	VERB
iajs-4064	26	23	the	the	DET
iajs-4064	26	24	exponential	exponential	ADJ
iajs-4064	26	25	distribution	distribution	NOUN
iajs-4064	26	26	by	by	ADP
iajs-4064	26	27	fusing	fuse	VERB
iajs-4064	26	28	it	it	PRON
iajs-4064	26	29	with	with	ADP
iajs-4064	26	30	a	a	DET
iajs-4064	26	31	geometric	geometric	ADJ
iajs-4064	26	32	distribution	distribution	NOUN
iajs-4064	26	33	to	to	PART
iajs-4064	26	34	create	create	VERB
iajs-4064	26	35	a	a	DET
iajs-4064	26	36	new	new	ADJ
iajs-4064	26	37	distribution	distribution	NOUN
iajs-4064	26	38	family	family	NOUN
iajs-4064	26	39	(	(	PUNCT
iajs-4064	26	40	17	17	NUM
iajs-4064	26	41	)	)	PUNCT
iajs-4064	26	42	,	,	PUNCT
iajs-4064	26	43	it	it	PRON
iajs-4064	26	44	was	be	AUX
iajs-4064	26	45	presented	present	VERB
iajs-4064	26	46	the	the	DET
iajs-4064	26	47	modified	modify	VERB
iajs-4064	26	48	exponential	exponential	ADJ
iajs-4064	26	49	gamma	gamma	NOUN
iajs-4064	26	50	distribution	distribution	NOUN
iajs-4064	26	51	in	in	ADP
iajs-4064	26	52	2014	2014	NUM
iajs-4064	26	53	:	:	PUNCT
iajs-4064	26	54	generalisation	generalisation	NOUN
iajs-4064	26	55	and	and	CCONJ
iajs-4064	26	56	extension	extension	NOUN
iajs-4064	26	57	of	of	ADP
iajs-4064	26	58	the	the	DET
iajs-4064	26	59	gamma	gamma	NOUN
iajs-4064	26	60	distribution	distribution	NOUN
iajs-4064	26	61	probabilities	probability	NOUN
iajs-4064	26	62	(	(	PUNCT
iajs-4064	26	63	18	18	NUM
iajs-4064	26	64	)	)	PUNCT
iajs-4064	26	65	.	.	PUNCT
iajs-4064	27	1	in	in	ADP
iajs-4064	27	2	2015	2015	NUM
iajs-4064	27	3	,	,	PUNCT
iajs-4064	27	4	it	it	PRON
iajs-4064	27	5	was	be	AUX
iajs-4064	27	6	presented	present	VERB
iajs-4064	27	7	the	the	DET
iajs-4064	27	8	exponentiated	exponentiated	ADJ
iajs-4064	27	9	power	power	NOUN
iajs-4064	27	10	lindley	lindley	NOUN
iajs-4064	27	11	distribution	distribution	NOUN
iajs-4064	27	12	,	,	PUNCT
iajs-4064	27	13	which	which	PRON
iajs-4064	27	14	is	be	AUX
iajs-4064	27	15	a	a	DET
iajs-4064	27	16	new	new	ADJ
iajs-4064	27	17	distribution	distribution	NOUN
iajs-4064	27	18	with	with	ADP
iajs-4064	27	19	three	three	NUM
iajs-4064	27	20	parameters	parameter	NOUN
iajs-4064	27	21	called	call	VERB
iajs-4064	27	22	the	the	DET
iajs-4064	27	23	exponential	exponential	ADJ
iajs-4064	27	24	lindley	lindley	NOUN
iajs-4064	27	25	distribution	distribution	NOUN
iajs-4064	27	26	[	[	X
iajs-4064	27	27	epld	epld	X
iajs-4064	27	28	]	]	X
iajs-4064	27	29	(	(	PUNCT
iajs-4064	27	30	19	19	NUM
iajs-4064	27	31	)	)	PUNCT
iajs-4064	27	32	.	.	PUNCT
iajs-4064	28	1	in	in	ADP
iajs-4064	28	2	2017	2017	NUM
iajs-4064	28	3	,	,	PUNCT
iajs-4064	28	4	it	it	PRON
iajs-4064	28	5	was	be	AUX
iajs-4064	28	6	presented	present	VERB
iajs-4064	28	7	the	the	DET
iajs-4064	28	8	exponentiated	exponentiate	VERB
iajs-4064	28	9	-	-	PUNCT
iajs-4064	28	10	exponential	exponential	NOUN
iajs-4064	28	11	weibull	weibull	NOUN
iajs-4064	28	12	distribution	distribution	NOUN
iajs-4064	28	13	with	with	ADP
iajs-4064	28	14	applications	application	NOUN
iajs-4064	28	15	,	,	PUNCT
iajs-4064	28	16	where	where	SCONJ
iajs-4064	28	17	they	they	PRON
iajs-4064	28	18	presented	present	VERB
iajs-4064	28	19	a	a	DET
iajs-4064	28	20	novel	novel	ADJ
iajs-4064	28	21	four	four	NUM
iajs-4064	28	22	-	-	PUNCT
iajs-4064	28	23	parameter	parameter	NOUN
iajs-4064	28	24	model	model	NOUN
iajs-4064	28	25	that	that	PRON
iajs-4064	28	26	uses	use	VERB
iajs-4064	28	27	the	the	DET
iajs-4064	28	28	(	(	PUNCT
iajs-4064	28	29	ew	ew	NOUN
iajs-4064	28	30	-	-	PUNCT
iajs-4064	28	31	g	g	NOUN
iajs-4064	28	32	)	)	PUNCT
iajs-4064	28	33	distribution	distribution	NOUN
iajs-4064	28	34	as	as	ADP
iajs-4064	28	35	a	a	DET
iajs-4064	28	36	competitive	competitive	ADJ
iajs-4064	28	37	extension	extension	NOUN
iajs-4064	28	38	of	of	ADP
iajs-4064	28	39	the	the	DET
iajs-4064	28	40	weibull	weibull	NOUN
iajs-4064	28	41	distribution	distribution	NOUN
iajs-4064	28	42	,	,	PUNCT
iajs-4064	28	43	which	which	PRON
iajs-4064	28	44	offers	offer	VERB
iajs-4064	28	45	some	some	DET
iajs-4064	28	46	new	new	ADJ
iajs-4064	28	47	distributions	distribution	NOUN
iajs-4064	28	48	and	and	CCONJ
iajs-4064	28	49	can	can	AUX
iajs-4064	28	50	be	be	AUX
iajs-4064	28	51	used	use	VERB
iajs-4064	28	52	to	to	PART
iajs-4064	28	53	access	access	VERB
iajs-4064	28	54	several	several	ADJ
iajs-4064	28	55	contemporary	contemporary	ADJ
iajs-4064	28	56	distributions	distribution	NOUN
iajs-4064	28	57	(	(	PUNCT
iajs-4064	28	58	20	20	NUM
iajs-4064	28	59	)	)	PUNCT
iajs-4064	28	60	.	.	PUNCT
iajs-4064	29	1	in	in	ADP
iajs-4064	29	2	2018	2018	NUM
iajs-4064	29	3	,	,	PUNCT
iajs-4064	29	4	it	it	PRON
iajs-4064	29	5	was	be	AUX
iajs-4064	29	6	was	be	AUX
iajs-4064	29	7	able	able	ADJ
iajs-4064	29	8	to	to	PART
iajs-4064	29	9	present	present	VERB
iajs-4064	29	10	the	the	DET
iajs-4064	29	11	exponentiated	exponentiated	ADJ
iajs-4064	29	12	burr	burr	NOUN
iajs-4064	29	13	x	x	SYM
iajs-4064	29	14	exponential	exponential	ADJ
iajs-4064	29	15	distribution	distribution	NOUN
iajs-4064	29	16	,	,	PUNCT
iajs-4064	29	17	which	which	PRON
iajs-4064	29	18	is	be	AUX
iajs-4064	29	19	the	the	DET
iajs-4064	29	20	burr	burr	NOUN
iajs-4064	29	21	x	x	SYM
iajs-4064	29	22	exponential	exponential	ADJ
iajs-4064	29	23	distribution	distribution	NOUN
iajs-4064	29	24	(	(	PUNCT
iajs-4064	29	25	brxee	brxee	NOUN
iajs-4064	29	26	)	)	PUNCT
iajs-4064	29	27	and	and	CCONJ
iajs-4064	29	28	is	be	AUX
iajs-4064	29	29	a	a	DET
iajs-4064	29	30	novel	novel	ADJ
iajs-4064	29	31	version	version	NOUN
iajs-4064	29	32	of	of	ADP
iajs-4064	29	33	the	the	DET
iajs-4064	29	34	(	(	PUNCT
iajs-4064	29	35	ee	ee	PROPN
iajs-4064	29	36	)	)	PUNCT
iajs-4064	29	37	model	model	NOUN
iajs-4064	29	38	from	from	ADP
iajs-4064	29	39	which	which	PRON
iajs-4064	29	40	some	some	PRON
iajs-4064	29	41	of	of	ADP
iajs-4064	29	42	its	its	PRON
iajs-4064	29	43	statistical	statistical	ADJ
iajs-4064	29	44	properties	property	NOUN
iajs-4064	29	45	,	,	PUNCT
iajs-4064	29	46	including	include	VERB
iajs-4064	29	47	moments	moment	NOUN
iajs-4064	29	48	,	,	PUNCT
iajs-4064	29	49	incomplete	incomplete	ADJ
iajs-4064	29	50	moments	moment	NOUN
iajs-4064	29	51	,	,	PUNCT
iajs-4064	29	52	moment	moment	NOUN
iajs-4064	29	53	generating	generate	VERB
iajs-4064	29	54	function	function	NOUN
iajs-4064	29	55	,	,	PUNCT
iajs-4064	29	56	average	average	ADJ
iajs-4064	29	57	deviations	deviation	NOUN
iajs-4064	29	58	,	,	PUNCT
iajs-4064	29	59	and	and	CCONJ
iajs-4064	29	60	probability	probability	NOUN
iajs-4064	29	61	-	-	PUNCT
iajs-4064	29	62	weighted	weight	VERB
iajs-4064	29	63	moments	moment	NOUN
iajs-4064	29	64	,	,	PUNCT
iajs-4064	29	65	were	be	AUX
iajs-4064	29	66	derived	derive	VERB
iajs-4064	29	67	,	,	PUNCT
iajs-4064	29	68	and	and	CCONJ
iajs-4064	29	69	others	other	NOUN
iajs-4064	29	70	(	(	PUNCT
iajs-4064	29	71	21	21	NUM
iajs-4064	29	72	)	)	PUNCT
iajs-4064	29	73	.	.	PUNCT
iajs-4064	30	1	in	in	ADP
iajs-4064	30	2	the	the	DET
iajs-4064	30	3	same	same	ADJ
iajs-4064	30	4	year	year	NOUN
iajs-4064	30	5	,	,	PUNCT
iajs-4064	30	6	it	it	PRON
iajs-4064	30	7	was	be	AUX
iajs-4064	30	8	introduced	introduce	VERB
iajs-4064	30	9	the	the	DET
iajs-4064	30	10	exponentiated	exponentiated	ADJ
iajs-4064	30	11	exponential	exponential	ADJ
iajs-4064	30	12	gamma	gamma	NOUN
iajs-4064	30	13	distribution	distribution	NOUN
iajs-4064	30	14	,	,	PUNCT
iajs-4064	30	15	where	where	SCONJ
iajs-4064	30	16	he	he	PRON
iajs-4064	30	17	defined	define	VERB
iajs-4064	30	18	the	the	DET
iajs-4064	30	19	exponential	exponential	ADJ
iajs-4064	30	20	distribution	distribution	NOUN
iajs-4064	30	21	of	of	ADP
iajs-4064	30	22	gamma	gamma	NOUN
iajs-4064	30	23	and	and	CCONJ
iajs-4064	30	24	also	also	ADV
iajs-4064	30	25	introduced	introduce	VERB
iajs-4064	30	26	the	the	DET
iajs-4064	30	27	shannon	shannon	PROPN
iajs-4064	30	28	entropy	entropy	PROPN
iajs-4064	30	29	of	of	ADP
iajs-4064	30	30	(	(	PUNCT
iajs-4064	30	31	eged	eged	ADJ
iajs-4064	30	32	)	)	PUNCT
iajs-4064	30	33	(	(	PUNCT
iajs-4064	30	34	22	22	NUM
iajs-4064	30	35	)	)	PUNCT
iajs-4064	30	36	.	.	PUNCT
iajs-4064	31	1	in	in	ADP
iajs-4064	31	2	2019	2019	NUM
iajs-4064	31	3	,	,	PUNCT
iajs-4064	31	4	it	it	PRON
iajs-4064	31	5	was	be	AUX
iajs-4064	31	6	presented	present	VERB
iajs-4064	31	7	about	about	ADP
iajs-4064	31	8	the	the	DET
iajs-4064	31	9	exponentiated	exponentiate	VERB
iajs-4064	31	10	weibull	weibull	PROPN
iajs-4064	31	11	rayleigh	rayleigh	PROPN
iajs-4064	31	12	distribution	distribution	NOUN
iajs-4064	31	13	(	(	PUNCT
iajs-4064	31	14	ewrd	ewrd	PROPN
iajs-4064	31	15	)	)	PUNCT
iajs-4064	31	16	(	(	PUNCT
iajs-4064	31	17	23	23	NUM
iajs-4064	31	18	)	)	PUNCT
iajs-4064	31	19	.	.	PUNCT
iajs-4064	32	1	in	in	ADP
iajs-4064	32	2	2020	2020	NUM
iajs-4064	32	3	,	,	PUNCT
iajs-4064	32	4	it	it	PRON
iajs-4064	32	5	was	be	AUX
iajs-4064	32	6	presented	present	VERB
iajs-4064	32	7	the	the	DET
iajs-4064	32	8	exponentiated	exponentiate	VERB
iajs-4064	32	9	exponential	exponential	ADJ
iajs-4064	32	10	weibull	weibull	NOUN
iajs-4064	32	11	distribution	distribution	NOUN
iajs-4064	32	12	with	with	ADP
iajs-4064	32	13	mathematical	mathematical	ADJ
iajs-4064	32	14	properties	property	NOUN
iajs-4064	32	15	and	and	CCONJ
iajs-4064	32	16	application	application	NOUN
iajs-4064	32	17	and	and	CCONJ
iajs-4064	32	18	came	come	VERB
iajs-4064	32	19	up	up	ADP
iajs-4064	32	20	with	with	ADP
iajs-4064	32	21	the	the	DET
iajs-4064	32	22	proposal	proposal	NOUN
iajs-4064	32	23	of	of	ADP
iajs-4064	32	24	the	the	DET
iajs-4064	32	25	exponential	exponential	ADJ
iajs-4064	32	26	weibull	weibull	NOUN
iajs-4064	32	27	distribution	distribution	NOUN
iajs-4064	32	28	(	(	PUNCT
iajs-4064	32	29	eewd	eewd	NOUN
iajs-4064	32	30	)	)	PUNCT
iajs-4064	32	31	based	base	VERB
iajs-4064	32	32	on	on	ADP
iajs-4064	32	33	the	the	DET
iajs-4064	32	34	idea	idea	NOUN
iajs-4064	32	35	of	of	ADP
iajs-4064	32	36	(	(	PUNCT
iajs-4064	32	37	24	24	NUM
iajs-4064	32	38	)	)	PUNCT
iajs-4064	32	39	.	.	PUNCT
iajs-4064	33	1	also	also	ADV
iajs-4064	33	2	in	in	ADP
iajs-4064	33	3	the	the	DET
iajs-4064	33	4	same	same	ADJ
iajs-4064	33	5	year	year	NOUN
iajs-4064	33	6	,	,	PUNCT
iajs-4064	33	7	it	it	PRON
iajs-4064	33	8	was	be	AUX
iajs-4064	33	9	presented	present	VERB
iajs-4064	33	10	estimation	estimation	NOUN
iajs-4064	33	11	techniques	technique	NOUN
iajs-4064	33	12	and	and	CCONJ
iajs-4064	33	13	applications	application	NOUN
iajs-4064	33	14	to	to	ADP
iajs-4064	33	15	engineering	engineering	NOUN
iajs-4064	33	16	data	datum	NOUN
iajs-4064	33	17	for	for	ADP
iajs-4064	33	18	the	the	DET
iajs-4064	33	19	odd	odd	ADJ
iajs-4064	33	20	exponentiated	exponentiated	ADJ
iajs-4064	33	21	half	half	ADJ
iajs-4064	33	22	-	-	PUNCT
iajs-4064	33	23	logistic	logistic	ADJ
iajs-4064	33	24	exponential	exponential	ADJ
iajs-4064	33	25	distribution	distribution	NOUN
iajs-4064	33	26	(	(	PUNCT
iajs-4064	33	27	25	25	NUM
iajs-4064	33	28	)	)	PUNCT
iajs-4064	33	29	.	.	PUNCT
iajs-4064	34	1	in	in	ADP
iajs-4064	34	2	2021	2021	NUM
iajs-4064	34	3	,	,	PUNCT
iajs-4064	34	4	it	it	PRON
iajs-4064	34	5	was	be	AUX
iajs-4064	34	6	presented	present	VERB
iajs-4064	34	7	a	a	DET
iajs-4064	34	8	new	new	ADJ
iajs-4064	34	9	exponentiated	exponentiated	ADJ
iajs-4064	34	10	generalised	generalise	VERB
iajs-4064	34	11	linear	linear	ADJ
iajs-4064	34	12	exponential	exponential	ADJ
iajs-4064	34	13	distribution	distribution	NOUN
iajs-4064	34	14	with	with	ADP
iajs-4064	34	15	properties	property	NOUN
iajs-4064	34	16	and	and	CCONJ
iajs-4064	34	17	applications	application	NOUN
iajs-4064	34	18	(	(	PUNCT
iajs-4064	34	19	26	26	NUM
iajs-4064	34	20	)	)	PUNCT
iajs-4064	34	21	.	.	PUNCT
iajs-4064	35	1	in	in	ADP
iajs-4064	35	2	2022	2022	NUM
iajs-4064	35	3	,	,	PUNCT
iajs-4064	35	4	dhungana	dhungana	PROPN
iajs-4064	35	5	g.	g.	PROPN
iajs-4064	35	6	and	and	CCONJ
iajs-4064	35	7	kumar	kumar	PROPN
iajs-4064	35	8	v.	v.	PROPN
iajs-4064	35	9	reported	report	VERB
iajs-4064	35	10	the	the	DET
iajs-4064	35	11	exponentiated	exponentiated	ADJ
iajs-4064	35	12	odd	odd	ADJ
iajs-4064	35	13	lomax	lomax	PROPN
iajs-4064	35	14	exponential	exponential	ADJ
iajs-4064	35	15	distribution	distribution	NOUN
iajs-4064	35	16	with	with	ADP
iajs-4064	35	17	application	application	NOUN
iajs-4064	35	18	to	to	ADP
iajs-4064	35	19	covid-19	covid-19	PROPN
iajs-4064	35	20	death	death	NOUN
iajs-4064	35	21	cases	case	NOUN
iajs-4064	35	22	of	of	ADP
iajs-4064	35	23	nepal	nepal	NOUN
iajs-4064	35	24	(	(	PUNCT
iajs-4064	35	25	27	27	NUM
iajs-4064	35	26	)	)	PUNCT
iajs-4064	35	27	.	.	PUNCT
iajs-4064	36	1	in	in	ADP
iajs-4064	36	2	2023	2023	NUM
iajs-4064	36	3	,	,	PUNCT
iajs-4064	36	4	it	it	PRON
iajs-4064	36	5	was	be	AUX
iajs-4064	36	6	presented	present	VERB
iajs-4064	36	7	an	an	DET
iajs-4064	36	8	extension	extension	NOUN
iajs-4064	36	9	of	of	ADP
iajs-4064	36	10	the	the	DET
iajs-4064	36	11	exponentiated	exponentiated	ADJ
iajs-4064	36	12	rayleigh	rayleigh	NOUN
iajs-4064	36	13	distribution	distribution	NOUN
iajs-4064	36	14	with	with	ADP
iajs-4064	36	15	properties	property	NOUN
iajs-4064	36	16	and	and	CCONJ
iajs-4064	36	17	applications	application	NOUN
iajs-4064	36	18	,	,	PUNCT
iajs-4064	36	19	adding	add	VERB
iajs-4064	36	20	the	the	DET
iajs-4064	36	21	shape	shape	NOUN
iajs-4064	36	22	parameter	parameter	NOUN
iajs-4064	36	23	to	to	PART
iajs-4064	36	24	improve	improve	VERB
iajs-4064	36	25	and	and	CCONJ
iajs-4064	36	26	enhance	enhance	VERB
iajs-4064	36	27	the	the	DET
iajs-4064	36	28	flexibility	flexibility	NOUN
iajs-4064	36	29	of	of	ADP
iajs-4064	36	30	this	this	DET
iajs-4064	36	31	distribution	distribution	NOUN
iajs-4064	36	32	(	(	PUNCT
iajs-4064	36	33	28	28	NUM
iajs-4064	36	34	)	)	PUNCT
iajs-4064	36	35	.	.	PUNCT
iajs-4064	37	1	finally	finally	ADV
iajs-4064	37	2	,	,	PUNCT
iajs-4064	37	3	lamyaa	lamyaa	PROPN
iajs-4064	37	4	khalid	khalid	PROPN
iajs-4064	37	5	hussein	hussein	PROPN
iajs-4064	37	6	and	and	CCONJ
iajs-4064	37	7	iden	iden	PROPN
iajs-4064	37	8	hassan	hassan	PROPN
iajs-4064	37	9	hussein	hussein	PROPN
iajs-4064	37	10	in	in	ADP
iajs-4064	37	11	2023	2023	NUM
iajs-4064	37	12	represent	represent	VERB
iajs-4064	37	13	a	a	DET
iajs-4064	37	14	new	new	ADJ
iajs-4064	37	15	distribution	distribution	NOUN
iajs-4064	37	16	that	that	PRON
iajs-4064	37	17	is	be	AUX
iajs-4064	37	18	mixed	mix	VERB
iajs-4064	37	19	between	between	ADP
iajs-4064	37	20	exponential	exponential	NOUN
iajs-4064	37	21	and	and	CCONJ
iajs-4064	37	22	rayleigh	rayleigh	PROPN
iajs-4064	37	23	distributions	distribution	NOUN
iajs-4064	37	24	(	(	PUNCT
iajs-4064	37	25	29	29	NUM
iajs-4064	37	26	)	)	PUNCT
iajs-4064	37	27	.	.	PUNCT
iajs-4064	38	1	in	in	ADP
iajs-4064	38	2	this	this	DET
iajs-4064	38	3	research	research	NOUN
iajs-4064	38	4	,	,	PUNCT
iajs-4064	38	5	we	we	PRON
iajs-4064	38	6	will	will	AUX
iajs-4064	38	7	present	present	VERB
iajs-4064	38	8	a	a	DET
iajs-4064	38	9	new	new	ADJ
iajs-4064	38	10	mixture	mixture	NOUN
iajs-4064	38	11	of	of	ADP
iajs-4064	38	12	continuous	continuous	ADJ
iajs-4064	38	13	distributions	distribution	NOUN
iajs-4064	38	14	,	,	PUNCT
iajs-4064	38	15	which	which	PRON
iajs-4064	38	16	we	we	PRON
iajs-4064	38	17	call	call	VERB
iajs-4064	38	18	the	the	DET
iajs-4064	38	19	new	new	ADJ
iajs-4064	38	20	exponentiated	exponentiated	ADJ
iajs-4064	38	21	exponential	exponential	ADJ
iajs-4064	38	22	-	-	PUNCT
iajs-4064	38	23	rayleigh	rayleigh	ADJ
iajs-4064	38	24	distribution	distribution	NOUN
iajs-4064	38	25	properties	property	NOUN
iajs-4064	38	26	and	and	CCONJ
iajs-4064	38	27	applications	application	NOUN
iajs-4064	38	28	by	by	ADP
iajs-4064	38	29	adding	add	VERB
iajs-4064	38	30	the	the	DET
iajs-4064	38	31	shape	shape	NOUN
iajs-4064	38	32	parameter	parameter	NOUN
iajs-4064	38	33	to	to	ADP
iajs-4064	38	34	the	the	DET
iajs-4064	38	35	(	(	PUNCT
iajs-4064	38	36	cdf	cdf	PROPN
iajs-4064	38	37	)	)	PUNCT
iajs-4064	38	38	function	function	NOUN
iajs-4064	38	39	(	(	PUNCT
iajs-4064	38	40	30	30	NUM
iajs-4064	38	41	)	)	PUNCT
iajs-4064	38	42	.	.	PUNCT
iajs-4064	39	1	the	the	DET
iajs-4064	39	2	results	result	NOUN
iajs-4064	39	3	of	of	ADP
iajs-4064	39	4	the	the	DET
iajs-4064	39	5	document	document	NOUN
iajs-4064	39	6	include	include	VERB
iajs-4064	39	7	the	the	DET
iajs-4064	39	8	following	following	NOUN
iajs-4064	39	9	:	:	PUNCT
iajs-4064	39	10	in	in	ADP
iajs-4064	39	11	section	section	NOUN
iajs-4064	39	12	2	2	NUM
iajs-4064	39	13	,	,	PUNCT
iajs-4064	39	14	we	we	PRON
iajs-4064	39	15	introduced	introduce	VERB
iajs-4064	39	16	the	the	DET
iajs-4064	39	17	fundamental	fundamental	ADJ
iajs-4064	39	18	statistical	statistical	ADJ
iajs-4064	39	19	functions	function	NOUN
iajs-4064	39	20	,	,	PUNCT
iajs-4064	39	21	including	include	VERB
iajs-4064	39	22	the	the	DET
iajs-4064	39	23	probability	probability	NOUN
iajs-4064	39	24	density	density	NOUN
iajs-4064	39	25	function	function	NOUN
iajs-4064	39	26	,	,	PUNCT
iajs-4064	39	27	reciprocal	reciprocal	ADJ
iajs-4064	39	28	density	density	NOUN
iajs-4064	39	29	function	function	NOUN
iajs-4064	39	30	,	,	PUNCT
iajs-4064	39	31	survival	survival	NOUN
iajs-4064	39	32	function	function	NOUN
iajs-4064	39	33	,	,	PUNCT
iajs-4064	39	34	and	and	CCONJ
iajs-4064	39	35	hazard	hazard	NOUN
iajs-4064	39	36	rate	rate	NOUN
iajs-4064	39	37	function	function	NOUN
iajs-4064	39	38	,	,	PUNCT
iajs-4064	39	39	and	and	CCONJ
iajs-4064	39	40	explained	explain	VERB
iajs-4064	39	41	how	how	SCONJ
iajs-4064	39	42	we	we	PRON
iajs-4064	39	43	extended	extend	VERB
iajs-4064	39	44	the	the	DET
iajs-4064	39	45	probability	probability	NOUN
iajs-4064	39	46	density	density	NOUN
iajs-4064	39	47	function	function	VERB
iajs-4064	39	48	to	to	PART
iajs-4064	39	49	obtain	obtain	VERB
iajs-4064	39	50	the	the	DET
iajs-4064	39	51	exponentiated	exponentiated	ADJ
iajs-4064	39	52	exponential	exponential	ADJ
iajs-4064	39	53	-	-	PUNCT
iajs-4064	39	54	rayleigh	rayleigh	NOUN
iajs-4064	39	55	distribution	distribution	NOUN
iajs-4064	39	56	.	.	PUNCT
iajs-4064	40	1	the	the	DET
iajs-4064	40	2	statistical	statistical	ADJ
iajs-4064	40	3	and	and	CCONJ
iajs-4064	40	4	mathematical	mathematical	ADJ
iajs-4064	40	5	characteristics	characteristic	NOUN
iajs-4064	40	6	of	of	ADP
iajs-4064	40	7	the	the	DET
iajs-4064	40	8	new	new	ADJ
iajs-4064	40	9	distribution	distribution	NOUN
iajs-4064	40	10	,	,	PUNCT
iajs-4064	40	11	including	include	VERB
iajs-4064	40	12	the	the	DET
iajs-4064	40	13	mode	mode	NOUN
iajs-4064	40	14	,	,	PUNCT
iajs-4064	40	15	moments	moment	NOUN
iajs-4064	40	16	around	around	ADP
iajs-4064	40	17	the	the	DET
iajs-4064	40	18	origin	origin	NOUN
iajs-4064	40	19	,	,	PUNCT
iajs-4064	40	20	ihjpas	ihjpas	PROPN
iajs-4064	40	21	.	.	PUNCT
iajs-4064	41	1	2025,38(4	2025,38(4	X
iajs-4064	41	2	)	)	PUNCT
iajs-4064	41	3	342	342	NUM
iajs-4064	41	4	variance	variance	NOUN
iajs-4064	41	5	,	,	PUNCT
iajs-4064	41	6	skewness	skewness	NOUN
iajs-4064	41	7	coefficient	coefficient	NOUN
iajs-4064	41	8	,	,	PUNCT
iajs-4064	41	9	characteristic	characteristic	ADJ
iajs-4064	41	10	function	function	NOUN
iajs-4064	41	11	,	,	PUNCT
iajs-4064	41	12	moment	moment	NOUN
iajs-4064	41	13	generating	generate	VERB
iajs-4064	41	14	function	function	NOUN
iajs-4064	41	15	,	,	PUNCT
iajs-4064	41	16	and	and	CCONJ
iajs-4064	41	17	factorial	factorial	ADJ
iajs-4064	41	18	moment	moment	NOUN
iajs-4064	41	19	generating	generate	VERB
iajs-4064	41	20	function	function	NOUN
iajs-4064	41	21	,	,	PUNCT
iajs-4064	41	22	are	be	AUX
iajs-4064	41	23	finally	finally	ADV
iajs-4064	41	24	represented	represent	VERB
iajs-4064	41	25	in	in	ADP
iajs-4064	41	26	section	section	NOUN
iajs-4064	41	27	3	3	NUM
iajs-4064	41	28	.	.	PUNCT
iajs-4064	42	1	2.the	2.the	NUM
iajs-4064	42	2	exponenatied	exponenatied	ADJ
iajs-4064	42	3	exponentialrayleigh	exponentialrayleigh	NOUN
iajs-4064	42	4	distribution	distribution	NOUN
iajs-4064	42	5	:	:	PUNCT
iajs-4064	42	6	(	(	PUNCT
iajs-4064	42	7	)	)	PUNCT
iajs-4064	42	8	(	(	PUNCT
iajs-4064	42	9	(	(	PUNCT
iajs-4064	42	10	)	)	PUNCT
iajs-4064	42	11	)	)	PUNCT
iajs-4064	42	12	(	(	PUNCT
iajs-4064	42	13	1	1	X
iajs-4064	42	14	)	)	PUNCT
iajs-4064	42	15	(	(	PUNCT
iajs-4064	42	16	)	)	PUNCT
iajs-4064	42	17	(	(	PUNCT
iajs-4064	42	18	)	)	PUNCT
iajs-4064	42	19	(	(	PUNCT
iajs-4064	42	20	)	)	PUNCT
iajs-4064	42	21	(	(	PUNCT
iajs-4064	42	22	(	(	PUNCT
iajs-4064	42	23	)	)	PUNCT
iajs-4064	42	24	)	)	PUNCT
iajs-4064	42	25	(	(	PUNCT
iajs-4064	42	26	2	2	X
iajs-4064	42	27	)	)	PUNCT
iajs-4064	42	28	and	and	CCONJ
iajs-4064	42	29	survival	survival	NOUN
iajs-4064	42	30	(	(	PUNCT
iajs-4064	42	31	reliability	reliability	NOUN
iajs-4064	42	32	)	)	PUNCT
iajs-4064	42	33	function	function	NOUN
iajs-4064	42	34	defined	define	VERB
iajs-4064	42	35	as	as	ADP
iajs-4064	42	36	:	:	PUNCT
iajs-4064	42	37	(	(	PUNCT
iajs-4064	42	38	)	)	PUNCT
iajs-4064	42	39	(	(	PUNCT
iajs-4064	42	40	)	)	PUNCT
iajs-4064	42	41	(	(	PUNCT
iajs-4064	42	42	(	(	PUNCT
iajs-4064	42	43	)	)	PUNCT
iajs-4064	42	44	)	)	PUNCT
iajs-4064	42	45	(	(	PUNCT
iajs-4064	42	46	3	3	X
iajs-4064	42	47	)	)	PUNCT
iajs-4064	42	48	so	so	ADV
iajs-4064	42	49	the	the	DET
iajs-4064	42	50	hazard	hazard	NOUN
iajs-4064	42	51	rate	rate	NOUN
iajs-4064	42	52	function	function	NOUN
iajs-4064	42	53	is	be	AUX
iajs-4064	42	54	:	:	PUNCT
iajs-4064	42	55	(	(	PUNCT
iajs-4064	42	56	)	)	PUNCT
iajs-4064	42	57	(	(	PUNCT
iajs-4064	42	58	)	)	PUNCT
iajs-4064	42	59	(	(	PUNCT
iajs-4064	42	60	)	)	PUNCT
iajs-4064	42	61	(	(	PUNCT
iajs-4064	42	62	)	)	PUNCT
iajs-4064	42	63	(	(	PUNCT
iajs-4064	42	64	)	)	PUNCT
iajs-4064	42	65	(	(	PUNCT
iajs-4064	42	66	(	(	PUNCT
iajs-4064	42	67	)	)	PUNCT
iajs-4064	42	68	)	)	PUNCT
iajs-4064	43	1	(	(	PUNCT
iajs-4064	43	2	(	(	PUNCT
iajs-4064	43	3	)	)	PUNCT
iajs-4064	43	4	)	)	PUNCT
iajs-4064	43	5	(	(	PUNCT
iajs-4064	43	6	4	4	X
iajs-4064	43	7	)	)	PUNCT
iajs-4064	43	8	(	(	PUNCT
iajs-4064	43	9	)	)	PUNCT
iajs-4064	43	10	to	to	ADP
iajs-4064	43	11	proof	proof	NOUN
iajs-4064	43	12	∫	∫	PROPN
iajs-4064	43	13	(	(	PUNCT
iajs-4064	43	14	)	)	PUNCT
iajs-4064	43	15	∫	∫	PROPN
iajs-4064	43	16	(	(	PUNCT
iajs-4064	43	17	)	)	PUNCT
iajs-4064	43	18	(	(	PUNCT
iajs-4064	43	19	)	)	PUNCT
iajs-4064	43	20	(	(	PUNCT
iajs-4064	43	21	(	(	PUNCT
iajs-4064	43	22	)	)	PUNCT
iajs-4064	43	23	)	)	PUNCT
iajs-4064	44	1	*	*	PUNCT
iajs-4064	44	2	(	(	PUNCT
iajs-4064	44	3	(	(	PUNCT
iajs-4064	44	4	)	)	PUNCT
iajs-4064	44	5	)	)	PUNCT
iajs-4064	45	1	+	+	CCONJ
iajs-4064	46	1	[	[	X
iajs-4064	46	2	(	(	PUNCT
iajs-4064	46	3	(	(	PUNCT
iajs-4064	46	4	)	)	PUNCT
iajs-4064	46	5	)	)	PUNCT
iajs-4064	46	6	(	(	PUNCT
iajs-4064	46	7	)	)	PUNCT
iajs-4064	46	8	]	]	PUNCT
iajs-4064	47	1	[	[	X
iajs-4064	47	2	(	(	PUNCT
iajs-4064	47	3	)	)	PUNCT
iajs-4064	47	4	(	(	PUNCT
iajs-4064	47	5	)	)	PUNCT
iajs-4064	47	6	]	]	PUNCT
iajs-4064	47	7	2.1	2.1	NUM
iajs-4064	47	8	.	.	PUNCT
iajs-4064	48	1	expand	expand	VERB
iajs-4064	48	2	the	the	DET
iajs-4064	48	3	probability	probability	NOUN
iajs-4064	48	4	density	density	NOUN
iajs-4064	48	5	function	function	NOUN
iajs-4064	48	6	:	:	PUNCT
iajs-4064	48	7	this	this	DET
iajs-4064	48	8	step	step	NOUN
iajs-4064	48	9	has	have	AUX
iajs-4064	48	10	been	be	AUX
iajs-4064	48	11	explained	explain	VERB
iajs-4064	48	12	in	in	ADP
iajs-4064	48	13	the	the	DET
iajs-4064	48	14	previous	previous	ADJ
iajs-4064	48	15	steps	step	NOUN
iajs-4064	48	16	.	.	PUNCT
iajs-4064	49	1	(	(	PUNCT
iajs-4064	49	2	)	)	PUNCT
iajs-4064	49	3	(	(	PUNCT
iajs-4064	49	4	)	)	PUNCT
iajs-4064	49	5	(	(	PUNCT
iajs-4064	49	6	)	)	PUNCT
iajs-4064	49	7	(	(	PUNCT
iajs-4064	49	8	(	(	PUNCT
iajs-4064	49	9	)	)	PUNCT
iajs-4064	49	10	)	)	PUNCT
iajs-4064	50	1	(	(	PUNCT
iajs-4064	50	2	(	(	PUNCT
iajs-4064	50	3	)	)	PUNCT
iajs-4064	50	4	)	)	PUNCT
iajs-4064	50	5	(	(	PUNCT
iajs-4064	50	6	)	)	PUNCT
iajs-4064	50	7	(	(	PUNCT
iajs-4064	50	8	)	)	PUNCT
iajs-4064	50	9	(	(	PUNCT
iajs-4064	50	10	)	)	PUNCT
iajs-4064	50	11	∑	∑	PROPN
iajs-4064	50	12	(	(	PUNCT
iajs-4064	50	13	)	)	PUNCT
iajs-4064	50	14	(	(	PUNCT
iajs-4064	50	15	)	)	PUNCT
iajs-4064	50	16	(	(	PUNCT
iajs-4064	50	17	)	)	PUNCT
iajs-4064	50	18	∑	∑	PROPN
iajs-4064	50	19	(	(	PUNCT
iajs-4064	50	20	)	)	PUNCT
iajs-4064	50	21	(	(	PUNCT
iajs-4064	50	22	)	)	PUNCT
iajs-4064	50	23	(	(	PUNCT
iajs-4064	50	24	)	)	PUNCT
iajs-4064	50	25	(	(	PUNCT
iajs-4064	50	26	)	)	PUNCT
iajs-4064	50	27	(	(	PUNCT
iajs-4064	50	28	)	)	PUNCT
iajs-4064	50	29	∑	∑	PUNCT
iajs-4064	50	30	∑	∑	PROPN
iajs-4064	50	31	(	(	PUNCT
iajs-4064	50	32	)	)	PUNCT
iajs-4064	50	33	(	(	PUNCT
iajs-4064	50	34	)	)	PUNCT
iajs-4064	50	35	(	(	PUNCT
iajs-4064	50	36	)	)	PUNCT
iajs-4064	50	37	(	(	PUNCT
iajs-4064	50	38	)	)	PUNCT
iajs-4064	50	39	(	(	PUNCT
iajs-4064	50	40	)	)	PUNCT
iajs-4064	50	41	(	(	PUNCT
iajs-4064	50	42	)	)	PUNCT
iajs-4064	50	43	(	(	PUNCT
iajs-4064	50	44	)	)	PUNCT
iajs-4064	50	45	∑	∑	PROPN
iajs-4064	50	46	(	(	PUNCT
iajs-4064	50	47	)	)	PUNCT
iajs-4064	50	48	(	(	PUNCT
iajs-4064	50	49	)	)	PUNCT
iajs-4064	50	50	let	let	VERB
iajs-4064	50	51	∑	∑	VERB
iajs-4064	50	52	∑	∑	VERB
iajs-4064	50	53	∑	∑	PUNCT
iajs-4064	50	54	(	(	PUNCT
iajs-4064	50	55	)	)	PUNCT
iajs-4064	50	56	(	(	PUNCT
iajs-4064	50	57	)	)	PUNCT
iajs-4064	50	58	(	(	PUNCT
iajs-4064	50	59	)	)	PUNCT
iajs-4064	50	60	(	(	PUNCT
iajs-4064	50	61	)	)	PUNCT
iajs-4064	50	62	(	(	PUNCT
iajs-4064	50	63	)	)	PUNCT
iajs-4064	50	64	(	(	PUNCT
iajs-4064	50	65	)	)	PUNCT
iajs-4064	50	66	2.1.1	2.1.1	NOUN
iajs-4064	50	67	the	the	DET
iajs-4064	50	68	shapes	shape	NOUN
iajs-4064	50	69	of	of	ADP
iajs-4064	50	70	the	the	DET
iajs-4064	50	71	new	new	ADJ
iajs-4064	50	72	exponentiated	exponentiate	VERB
iajs-4064	50	73	exponentialrayleigh	exponentialrayleigh	NOUN
iajs-4064	50	74	distribution	distribution	NOUN
iajs-4064	50	75	knowing	know	VERB
iajs-4064	50	76	the	the	DET
iajs-4064	50	77	shape	shape	NOUN
iajs-4064	50	78	of	of	ADP
iajs-4064	50	79	the	the	DET
iajs-4064	50	80	(	(	PUNCT
iajs-4064	50	81	shwd	shwd	PROPN
iajs-4064	50	82	)	)	PUNCT
iajs-4064	50	83	helps	help	VERB
iajs-4064	50	84	us	we	PRON
iajs-4064	50	85	understand	understand	VERB
iajs-4064	50	86	the	the	DET
iajs-4064	50	87	behavior	behavior	NOUN
iajs-4064	50	88	and	and	CCONJ
iajs-4064	50	89	approach	approach	NOUN
iajs-4064	50	90	of	of	ADP
iajs-4064	50	91	distribution	distribution	NOUN
iajs-4064	50	92	functions	function	NOUN
iajs-4064	50	93	in	in	ADP
iajs-4064	50	94	dealing	deal	VERB
iajs-4064	50	95	with	with	ADP
iajs-4064	50	96	data	datum	NOUN
iajs-4064	50	97	,	,	PUNCT
iajs-4064	50	98	to	to	PART
iajs-4064	50	99	understand	understand	VERB
iajs-4064	50	100	this	this	PRON
iajs-4064	50	101	mathematically	mathematically	ADV
iajs-4064	50	102	,	,	PUNCT
iajs-4064	50	103	especially	especially	ADV
iajs-4064	50	104	through	through	ADP
iajs-4064	50	105	the	the	DET
iajs-4064	50	106	limit	limit	NOUN
iajs-4064	50	107	values	value	NOUN
iajs-4064	50	108	of	of	ADP
iajs-4064	50	109	the	the	DET
iajs-4064	50	110	probability	probability	NOUN
iajs-4064	50	111	density	density	NOUN
iajs-4064	50	112	and	and	CCONJ
iajs-4064	50	113	hazard	hazard	NOUN
iajs-4064	50	114	functions	function	NOUN
iajs-4064	50	115	when	when	SCONJ
iajs-4064	50	116	(	(	PUNCT
iajs-4064	50	117	)	)	PUNCT
iajs-4064	50	118	.	.	PUNCT
iajs-4064	51	1	(	(	PUNCT
iajs-4064	51	2	)	)	PUNCT
iajs-4064	51	3	*	*	PUNCT
iajs-4064	51	4	(	(	PUNCT
iajs-4064	51	5	(	(	PUNCT
iajs-4064	51	6	)	)	PUNCT
iajs-4064	51	7	)	)	PUNCT
iajs-4064	51	8	(	(	PUNCT
iajs-4064	51	9	)	)	PUNCT
iajs-4064	51	10	(	(	PUNCT
iajs-4064	51	11	)	)	PUNCT
iajs-4064	51	12	+	+	CCONJ
iajs-4064	51	13	[	[	PUNCT
iajs-4064	51	14	(	(	PUNCT
iajs-4064	51	15	)	)	PUNCT
iajs-4064	51	16	(	(	PUNCT
iajs-4064	51	17	)	)	PUNCT
iajs-4064	51	18	]	]	PUNCT
iajs-4064	51	19	ihjpas	ihjpas	PROPN
iajs-4064	51	20	.	.	PUNCT
iajs-4064	52	1	2025,38(4	2025,38(4	NOUN
iajs-4064	52	2	)	)	PUNCT
iajs-4064	53	1	343	343	NUM
iajs-4064	53	2	(	(	PUNCT
iajs-4064	53	3	)	)	PUNCT
iajs-4064	53	4	*	*	PUNCT
iajs-4064	53	5	(	(	PUNCT
iajs-4064	53	6	(	(	PUNCT
iajs-4064	53	7	)	)	PUNCT
iajs-4064	53	8	)	)	PUNCT
iajs-4064	54	1	(	(	PUNCT
iajs-4064	54	2	)	)	PUNCT
iajs-4064	54	3	(	(	PUNCT
iajs-4064	54	4	)	)	PUNCT
iajs-4064	54	5	+	+	CCONJ
iajs-4064	54	6	(	(	PUNCT
iajs-4064	54	7	)	)	PUNCT
iajs-4064	54	8	(	(	PUNCT
iajs-4064	54	9	(	(	PUNCT
iajs-4064	54	10	)	)	PUNCT
iajs-4064	54	11	)	)	PUNCT
iajs-4064	55	1	(	(	PUNCT
iajs-4064	55	2	)	)	PUNCT
iajs-4064	55	3	(	(	PUNCT
iajs-4064	55	4	(	(	PUNCT
iajs-4064	55	5	)	)	PUNCT
iajs-4064	55	6	)	)	PUNCT
iajs-4064	55	7	(	(	PUNCT
iajs-4064	55	8	)	)	PUNCT
iajs-4064	55	9	(	(	PUNCT
iajs-4064	55	10	(	(	PUNCT
iajs-4064	55	11	)	)	PUNCT
iajs-4064	55	12	)	)	PUNCT
iajs-4064	55	13	(	(	PUNCT
iajs-4064	55	14	(	(	PUNCT
iajs-4064	55	15	)	)	PUNCT
iajs-4064	55	16	)	)	PUNCT
iajs-4064	56	1	2.2	2.2	NUM
iajs-4064	56	2	.	.	PUNCT
iajs-4064	56	3	applied	apply	VERB
iajs-4064	56	4	l'hospital	l'hospital	PROPN
iajs-4064	56	5	's	's	PART
iajs-4064	56	6	rule	rule	NOUN
iajs-4064	56	7	:	:	PUNCT
iajs-4064	56	8	(	(	PUNCT
iajs-4064	56	9	)	)	PUNCT
iajs-4064	56	10	as	as	SCONJ
iajs-4064	56	11	we	we	PRON
iajs-4064	56	12	continue	continue	VERB
iajs-4064	56	13	to	to	PART
iajs-4064	56	14	derive	derive	VERB
iajs-4064	56	15	for	for	ADP
iajs-4064	56	16	the	the	DET
iajs-4064	56	17	result	result	NOUN
iajs-4064	56	18	of	of	ADP
iajs-4064	56	19	the	the	DET
iajs-4064	56	20	numerator	numerator	NOUN
iajs-4064	56	21	will	will	AUX
iajs-4064	56	22	be	be	AUX
iajs-4064	56	23	equal	equal	ADJ
iajs-4064	56	24	constant	constant	ADJ
iajs-4064	56	25	as	as	SCONJ
iajs-4064	56	26	considered	consider	VERB
iajs-4064	56	27	an	an	DET
iajs-4064	56	28	integer	integer	NOUN
iajs-4064	56	29	value	value	NOUN
iajs-4064	56	30	for	for	ADP
iajs-4064	56	31	and	and	CCONJ
iajs-4064	56	32	as	as	SCONJ
iajs-4064	56	33	contained	contain	VERB
iajs-4064	56	34	to	to	PART
iajs-4064	56	35	derive	derive	VERB
iajs-4064	56	36	the	the	DET
iajs-4064	56	37	denominator	denominator	NOUN
iajs-4064	56	38	it	it	PRON
iajs-4064	56	39	always	always	ADV
iajs-4064	56	40	contains	contain	VERB
iajs-4064	56	41	the	the	DET
iajs-4064	56	42	exponential	exponential	ADJ
iajs-4064	56	43	part	part	NOUN
iajs-4064	56	44	which	which	PRON
iajs-4064	56	45	is	be	AUX
iajs-4064	56	46	equal	equal	ADJ
iajs-4064	56	47	to	to	ADP
iajs-4064	56	48	(	(	PUNCT
iajs-4064	56	49	)	)	PUNCT
iajs-4064	56	50	.	.	PUNCT
iajs-4064	57	1	the	the	DET
iajs-4064	57	2	final	final	ADJ
iajs-4064	57	3	result	result	NOUN
iajs-4064	57	4	of	of	ADP
iajs-4064	57	5	the	the	DET
iajs-4064	57	6	limit	limit	NOUN
iajs-4064	57	7	is	be	AUX
iajs-4064	57	8	a	a	DET
iajs-4064	57	9	constant	constant	ADJ
iajs-4064	57	10	divide	divide	NOUN
iajs-4064	57	11	by	by	ADP
iajs-4064	57	12	which	which	PRON
iajs-4064	57	13	equal	equal	ADJ
iajs-4064	57	14	to	to	ADP
iajs-4064	57	15	zero	zero	NUM
iajs-4064	57	16	(	(	PUNCT
iajs-4064	57	17	)	)	PUNCT
iajs-4064	57	18	.	.	PUNCT
iajs-4064	58	1	(	(	PUNCT
iajs-4064	58	2	)	)	PUNCT
iajs-4064	58	3	(	(	PUNCT
iajs-4064	58	4	(	(	PUNCT
iajs-4064	58	5	)	)	PUNCT
iajs-4064	58	6	)	)	PUNCT
iajs-4064	59	1	=	=	SYM
iajs-4064	59	2	0	0	PUNCT
iajs-4064	59	3	(	(	PUNCT
iajs-4064	59	4	)	)	PUNCT
iajs-4064	59	5	(	(	PUNCT
iajs-4064	59	6	(	(	PUNCT
iajs-4064	59	7	)	)	PUNCT
iajs-4064	59	8	)	)	PUNCT
iajs-4064	59	9	the	the	DET
iajs-4064	59	10	shape	shape	NOUN
iajs-4064	59	11	of	of	ADP
iajs-4064	59	12	hazard	hazard	NOUN
iajs-4064	59	13	function	function	NOUN
iajs-4064	59	14	can	can	AUX
iajs-4064	59	15	be	be	AUX
iajs-4064	59	16	defined	define	VERB
iajs-4064	59	17	as	as	SCONJ
iajs-4064	59	18	follows	follow	VERB
iajs-4064	59	19	:	:	PUNCT
iajs-4064	59	20	(	(	PUNCT
iajs-4064	59	21	)	)	PUNCT
iajs-4064	59	22	(	(	PUNCT
iajs-4064	59	23	)	)	PUNCT
iajs-4064	59	24	(	(	PUNCT
iajs-4064	59	25	)	)	PUNCT
iajs-4064	59	26	(	(	PUNCT
iajs-4064	59	27	(	(	PUNCT
iajs-4064	59	28	)	)	PUNCT
iajs-4064	59	29	)	)	PUNCT
iajs-4064	60	1	(	(	PUNCT
iajs-4064	60	2	(	(	PUNCT
iajs-4064	60	3	)	)	PUNCT
iajs-4064	60	4	)	)	PUNCT
iajs-4064	60	5	(	(	PUNCT
iajs-4064	60	6	)	)	PUNCT
iajs-4064	60	7	(	(	PUNCT
iajs-4064	60	8	)	)	PUNCT
iajs-4064	60	9	(	(	PUNCT
iajs-4064	60	10	)	)	PUNCT
iajs-4064	60	11	(	(	PUNCT
iajs-4064	60	12	)	)	PUNCT
iajs-4064	60	13	(	(	PUNCT
iajs-4064	60	14	)	)	PUNCT
iajs-4064	60	15	(	(	PUNCT
iajs-4064	60	16	)	)	PUNCT
iajs-4064	60	17	(	(	PUNCT
iajs-4064	60	18	(	(	PUNCT
iajs-4064	60	19	)	)	PUNCT
iajs-4064	60	20	)	)	PUNCT
iajs-4064	61	1	*	*	PUNCT
iajs-4064	61	2	(	(	PUNCT
iajs-4064	61	3	(	(	PUNCT
iajs-4064	61	4	)	)	PUNCT
iajs-4064	61	5	)	)	PUNCT
iajs-4064	62	1	+	+	CCONJ
iajs-4064	62	2	(	(	PUNCT
iajs-4064	62	3	)	)	PUNCT
iajs-4064	62	4	(	(	PUNCT
iajs-4064	62	5	)	)	PUNCT
iajs-4064	62	6	(	(	PUNCT
iajs-4064	62	7	(	(	PUNCT
iajs-4064	62	8	)	)	PUNCT
iajs-4064	62	9	)	)	PUNCT
iajs-4064	62	10	(	(	PUNCT
iajs-4064	62	11	(	(	PUNCT
iajs-4064	62	12	)	)	PUNCT
iajs-4064	62	13	)	)	PUNCT
iajs-4064	63	1	*	*	PUNCT
iajs-4064	63	2	(	(	PUNCT
iajs-4064	63	3	(	(	PUNCT
iajs-4064	63	4	)	)	PUNCT
iajs-4064	63	5	)	)	PUNCT
iajs-4064	64	1	+	+	CCONJ
iajs-4064	64	2	(	(	PUNCT
iajs-4064	64	3	)	)	PUNCT
iajs-4064	64	4	(	(	PUNCT
iajs-4064	64	5	(	(	PUNCT
iajs-4064	64	6	)	)	PUNCT
iajs-4064	64	7	)	)	PUNCT
iajs-4064	64	8	(	(	PUNCT
iajs-4064	64	9	(	(	PUNCT
iajs-4064	64	10	)	)	PUNCT
iajs-4064	64	11	)	)	PUNCT
iajs-4064	65	1	*	*	PUNCT
iajs-4064	65	2	(	(	PUNCT
iajs-4064	65	3	(	(	PUNCT
iajs-4064	65	4	)	)	PUNCT
iajs-4064	65	5	)	)	PUNCT
iajs-4064	66	1	+	+	CCONJ
iajs-4064	66	2	(	(	PUNCT
iajs-4064	66	3	)	)	PUNCT
iajs-4064	66	4	(	(	PUNCT
iajs-4064	66	5	(	(	PUNCT
iajs-4064	66	6	)	)	PUNCT
iajs-4064	66	7	)	)	PUNCT
iajs-4064	67	1	*	*	PUNCT
iajs-4064	67	2	(	(	PUNCT
iajs-4064	67	3	(	(	PUNCT
iajs-4064	67	4	)	)	PUNCT
iajs-4064	67	5	)	)	PUNCT
iajs-4064	68	1	+	+	CCONJ
iajs-4064	68	2	by	by	ADP
iajs-4064	68	3	using	use	VERB
iajs-4064	68	4	l'hopital	l'hopital	PROPN
iajs-4064	68	5	's	's	PART
iajs-4064	68	6	rule	rule	NOUN
iajs-4064	68	7	:	:	PUNCT
iajs-4064	68	8	(	(	PUNCT
iajs-4064	68	9	(	(	PUNCT
iajs-4064	68	10	)	)	PUNCT
iajs-4064	68	11	)	)	PUNCT
iajs-4064	68	12	*	*	PUNCT
iajs-4064	68	13	(	(	PUNCT
iajs-4064	68	14	(	(	PUNCT
iajs-4064	68	15	)	)	PUNCT
iajs-4064	68	16	)	)	PUNCT
iajs-4064	68	17	(	(	PUNCT
iajs-4064	68	18	)	)	PUNCT
iajs-4064	68	19	(	(	PUNCT
iajs-4064	68	20	)	)	PUNCT
iajs-4064	68	21	(	(	PUNCT
iajs-4064	68	22	(	(	PUNCT
iajs-4064	68	23	)	)	PUNCT
iajs-4064	68	24	)	)	PUNCT
iajs-4064	68	25	+	+	PUNCT
iajs-4064	68	26	*	*	PUNCT
iajs-4064	68	27	(	(	PUNCT
iajs-4064	68	28	(	(	PUNCT
iajs-4064	68	29	)	)	PUNCT
iajs-4064	68	30	)	)	PUNCT
iajs-4064	68	31	+	+	CCONJ
iajs-4064	68	32	(	(	PUNCT
iajs-4064	68	33	)	)	PUNCT
iajs-4064	68	34	(	(	PUNCT
iajs-4064	68	35	)	)	PUNCT
iajs-4064	68	36	(	(	PUNCT
iajs-4064	68	37	)	)	PUNCT
iajs-4064	68	38	[	[	PUNCT
iajs-4064	68	39	(	(	PUNCT
iajs-4064	68	40	)	)	PUNCT
iajs-4064	68	41	(	(	PUNCT
iajs-4064	68	42	)	)	PUNCT
iajs-4064	68	43	(	(	PUNCT
iajs-4064	68	44	(	(	PUNCT
iajs-4064	68	45	)	)	PUNCT
iajs-4064	68	46	)	)	PUNCT
iajs-4064	68	47	]	]	PUNCT
iajs-4064	69	1	[	[	X
iajs-4064	69	2	(	(	PUNCT
iajs-4064	69	3	)	)	PUNCT
iajs-4064	69	4	]	]	PUNCT
iajs-4064	69	5	(	(	PUNCT
iajs-4064	69	6	)	)	PUNCT
iajs-4064	69	7	ihjpas	ihjpas	PROPN
iajs-4064	69	8	.	.	PUNCT
iajs-4064	70	1	2025,38(4	2025,38(4	NUM
iajs-4064	70	2	)	)	PUNCT
iajs-4064	71	1	344	344	NUM
iajs-4064	71	2	figure	figure	VERB
iajs-4064	71	3	1.the	1.the	DET
iajs-4064	71	4	shape	shape	NOUN
iajs-4064	71	5	of	of	ADP
iajs-4064	71	6	pdf	pdf	NOUN
iajs-4064	71	7	for	for	ADP
iajs-4064	71	8	new	new	ADJ
iajs-4064	71	9	exponentiated	exponentiate	VERB
iajs-4064	71	10	exponentialrayleigh	exponentialrayleigh	NOUN
iajs-4064	71	11	distribution	distribution	NOUN
iajs-4064	71	12	with	with	ADP
iajs-4064	71	13	different	different	ADJ
iajs-4064	71	14	values	value	NOUN
iajs-4064	71	15	of	of	ADP
iajs-4064	71	16	this	this	DET
iajs-4064	71	17	figure	figure	NOUN
iajs-4064	71	18	illustrates	illustrate	VERB
iajs-4064	71	19	the	the	DET
iajs-4064	71	20	graph	graph	NOUN
iajs-4064	71	21	of	of	ADP
iajs-4064	71	22	this	this	DET
iajs-4064	71	23	function	function	NOUN
iajs-4064	71	24	when	when	SCONJ
iajs-4064	71	25	the	the	DET
iajs-4064	71	26	pdf	pdf	NOUN
iajs-4064	71	27	value	value	NOUN
iajs-4064	71	28	is	be	AUX
iajs-4064	71	29	zero	zero	NUM
iajs-4064	71	30	,	,	PUNCT
iajs-4064	71	31	and	and	CCONJ
iajs-4064	71	32	when	when	SCONJ
iajs-4064	71	33	the	the	DET
iajs-4064	71	34	pdf	pdf	NOUN
iajs-4064	71	35	value	value	NOUN
iajs-4064	71	36	is	be	AUX
iajs-4064	71	37	also	also	ADV
iajs-4064	71	38	zero	zero	NUM
iajs-4064	71	39	.	.	PUNCT
iajs-4064	72	1	figure	figure	NOUN
iajs-4064	72	2	2	2	NUM
iajs-4064	72	3	.	.	PUNCT
iajs-4064	73	1	the	the	DET
iajs-4064	73	2	shape	shape	NOUN
iajs-4064	73	3	of	of	ADP
iajs-4064	73	4	cdf	cdf	PROPN
iajs-4064	73	5	for	for	ADP
iajs-4064	73	6	new	new	ADJ
iajs-4064	73	7	exponentiated	exponentiate	VERB
iajs-4064	73	8	exponentialrayleigh	exponentialrayleigh	NOUN
iajs-4064	73	9	distribution	distribution	NOUN
iajs-4064	73	10	with	with	ADP
iajs-4064	73	11	different	different	ADJ
iajs-4064	73	12	values	value	NOUN
iajs-4064	73	13	of	of	ADP
iajs-4064	73	14	this	this	DET
iajs-4064	73	15	graph	graph	NOUN
iajs-4064	73	16	shows	show	VERB
iajs-4064	73	17	that	that	SCONJ
iajs-4064	73	18	the	the	DET
iajs-4064	73	19	cdf	cdf	PROPN
iajs-4064	73	20	function	function	NOUN
iajs-4064	73	21	equals	equal	VERB
iajs-4064	73	22	zero	zero	NUM
iajs-4064	73	23	when	when	SCONJ
iajs-4064	73	24	and	and	CCONJ
iajs-4064	73	25	equals	equal	VERB
iajs-4064	73	26	one	one	NUM
iajs-4064	73	27	when	when	SCONJ
iajs-4064	73	28	,	,	PUNCT
iajs-4064	73	29	which	which	PRON
iajs-4064	73	30	indicates	indicate	VERB
iajs-4064	73	31	that	that	SCONJ
iajs-4064	73	32	the	the	DET
iajs-4064	73	33	cdf	cdf	PROPN
iajs-4064	73	34	function	function	NOUN
iajs-4064	73	35	is	be	AUX
iajs-4064	73	36	an	an	DET
iajs-4064	73	37	increasing	increase	VERB
iajs-4064	73	38	function	function	NOUN
iajs-4064	73	39	.	.	PUNCT
iajs-4064	74	1	figure	figure	VERB
iajs-4064	74	2	3	3	NUM
iajs-4064	74	3	.	.	PUNCT
iajs-4064	75	1	the	the	DET
iajs-4064	75	2	shape	shape	NOUN
iajs-4064	75	3	of	of	ADP
iajs-4064	75	4	s(x	s(x	PROPN
iajs-4064	75	5	)	)	PUNCT
iajs-4064	75	6	for	for	ADP
iajs-4064	75	7	new	new	ADJ
iajs-4064	75	8	exponentiated	exponentiate	VERB
iajs-4064	75	9	exponentialrayleigh	exponentialrayleigh	NOUN
iajs-4064	75	10	distribution	distribution	NOUN
iajs-4064	75	11	with	with	ADP
iajs-4064	75	12	different	different	ADJ
iajs-4064	75	13	values	value	NOUN
iajs-4064	75	14	of	of	ADP
iajs-4064	75	15	ihjpas	ihjpas	PROPN
iajs-4064	75	16	.	.	PUNCT
iajs-4064	76	1	2025,38(4	2025,38(4	NOUN
iajs-4064	76	2	)	)	PUNCT
iajs-4064	77	1	345	345	NUM
iajs-4064	78	1	this	this	DET
iajs-4064	78	2	graph	graph	NOUN
iajs-4064	78	3	shows	show	VERB
iajs-4064	78	4	that	that	SCONJ
iajs-4064	78	5	the	the	DET
iajs-4064	78	6	function	function	NOUN
iajs-4064	78	7	s(x	s(x	PROPN
iajs-4064	78	8	)	)	PUNCT
iajs-4064	78	9	is	be	AUX
iajs-4064	78	10	a	a	DET
iajs-4064	78	11	decreasing	decrease	VERB
iajs-4064	78	12	function	function	NOUN
iajs-4064	78	13	.	.	PUNCT
iajs-4064	79	1	figure	figure	VERB
iajs-4064	79	2	4	4	NUM
iajs-4064	79	3	.	.	PUNCT
iajs-4064	80	1	the	the	DET
iajs-4064	80	2	shape	shape	NOUN
iajs-4064	80	3	of	of	ADP
iajs-4064	80	4	h(x	h(x	PROPN
iajs-4064	80	5	)	)	PUNCT
iajs-4064	80	6	for	for	ADP
iajs-4064	80	7	new	new	ADJ
iajs-4064	80	8	exponentiated	exponentiate	VERB
iajs-4064	80	9	exponentialrayleigh	exponentialrayleigh	NOUN
iajs-4064	80	10	distribution	distribution	NOUN
iajs-4064	80	11	with	with	ADP
iajs-4064	80	12	different	different	ADJ
iajs-4064	80	13	values	value	NOUN
iajs-4064	80	14	of	of	ADP
iajs-4064	80	15	in	in	ADP
iajs-4064	80	16	the	the	DET
iajs-4064	80	17	special	special	ADJ
iajs-4064	80	18	case	case	NOUN
iajs-4064	80	19	,	,	PUNCT
iajs-4064	80	20	if	if	SCONJ
iajs-4064	80	21	,	,	PUNCT
iajs-4064	80	22	then	then	ADV
iajs-4064	80	23	the	the	DET
iajs-4064	80	24	distribution	distribution	NOUN
iajs-4064	80	25	becomes	become	VERB
iajs-4064	80	26	the	the	DET
iajs-4064	80	27	exponential	exponential	ADJ
iajs-4064	80	28	rayleigh	rayleigh	NOUN
iajs-4064	80	29	distribution	distribution	NOUN
iajs-4064	80	30	,	,	PUNCT
iajs-4064	80	31	also	also	ADV
iajs-4064	80	32	if	if	SCONJ
iajs-4064	80	33	,	,	PUNCT
iajs-4064	80	34	then	then	ADV
iajs-4064	80	35	the	the	DET
iajs-4064	80	36	distribution	distribution	NOUN
iajs-4064	80	37	becomes	become	VERB
iajs-4064	80	38	the	the	DET
iajs-4064	80	39	rayleigh	rayleigh	NOUN
iajs-4064	80	40	distribution	distribution	NOUN
iajs-4064	80	41	.	.	PUNCT
iajs-4064	81	1	finally	finally	ADV
iajs-4064	81	2	,	,	PUNCT
iajs-4064	81	3	if	if	SCONJ
iajs-4064	81	4	,	,	PUNCT
iajs-4064	81	5	then	then	ADV
iajs-4064	81	6	the	the	DET
iajs-4064	81	7	distribution	distribution	NOUN
iajs-4064	81	8	becomes	become	VERB
iajs-4064	81	9	exponential	exponential	ADJ
iajs-4064	81	10	distribution	distribution	NOUN
iajs-4064	81	11	.	.	PUNCT
iajs-4064	82	1	2.3	2.3	NUM
iajs-4064	82	2	.	.	X
iajs-4064	82	3	quantile	quantile	ADJ
iajs-4064	82	4	function	function	NOUN
iajs-4064	82	5	this	this	DET
iajs-4064	82	6	function	function	NOUN
iajs-4064	82	7	defined	define	VERB
iajs-4064	82	8	by	by	ADP
iajs-4064	82	9	:	:	PUNCT
iajs-4064	82	10	(	(	PUNCT
iajs-4064	82	11	)	)	PUNCT
iajs-4064	82	12	(	(	PUNCT
iajs-4064	82	13	)	)	PUNCT
iajs-4064	82	14	(	(	PUNCT
iajs-4064	82	15	)	)	PUNCT
iajs-4064	82	16	(	(	PUNCT
iajs-4064	82	17	(	(	PUNCT
iajs-4064	82	18	)	)	PUNCT
iajs-4064	82	19	)	)	PUNCT
iajs-4064	83	1	(	(	PUNCT
iajs-4064	83	2	)	)	PUNCT
iajs-4064	83	3	(	(	PUNCT
iajs-4064	83	4	)	)	PUNCT
iajs-4064	83	5	(	(	PUNCT
iajs-4064	83	6	)	)	PUNCT
iajs-4064	83	7	(	(	PUNCT
iajs-4064	83	8	)	)	PUNCT
iajs-4064	83	9	(	(	PUNCT
iajs-4064	83	10	)	)	PUNCT
iajs-4064	83	11	√	√	PROPN
iajs-4064	83	12	(	(	PUNCT
iajs-4064	83	13	)	)	PUNCT
iajs-4064	83	14	in	in	ADP
iajs-4064	83	15	spaical	spaical	ADJ
iajs-4064	83	16	case	case	NOUN
iajs-4064	83	17	if	if	SCONJ
iajs-4064	83	18	5	5	NUM
iajs-4064	83	19	then	then	ADV
iajs-4064	83	20	the	the	DET
iajs-4064	83	21	medeain	medeain	NOUN
iajs-4064	83	22	is	be	AUX
iajs-4064	83	23	:	:	PUNCT
iajs-4064	83	24	√	√	INTJ
iajs-4064	83	25	(	(	PUNCT
iajs-4064	83	26	(	(	PUNCT
iajs-4064	83	27	)	)	PUNCT
iajs-4064	83	28	)	)	PUNCT
iajs-4064	84	1	3	3	X
iajs-4064	84	2	.	.	NOUN
iajs-4064	84	3	mathematical	mathematical	ADJ
iajs-4064	84	4	and	and	CCONJ
iajs-4064	84	5	statistical	statistical	ADJ
iajs-4064	84	6	properties	property	NOUN
iajs-4064	84	7	of	of	ADP
iajs-4064	84	8	new	new	ADJ
iajs-4064	84	9	(	(	PUNCT
iajs-4064	84	10	eerd	eerd	NOUN
iajs-4064	84	11	)	)	PUNCT
iajs-4064	84	12	3.1	3.1	NUM
iajs-4064	84	13	.	.	PUNCT
iajs-4064	85	1	the	the	DET
iajs-4064	85	2	mode	mode	NOUN
iajs-4064	85	3	the	the	DET
iajs-4064	85	4	mode	mode	NOUN
iajs-4064	85	5	is	be	AUX
iajs-4064	85	6	defined	define	VERB
iajs-4064	85	7	as	as	ADP
iajs-4064	85	8	the	the	DET
iajs-4064	85	9	point	point	NOUN
iajs-4064	85	10	at	at	ADP
iajs-4064	85	11	which	which	PRON
iajs-4064	85	12	the	the	DET
iajs-4064	85	13	probability	probability	NOUN
iajs-4064	85	14	density	density	NOUN
iajs-4064	85	15	function	function	NOUN
iajs-4064	85	16	achieves	achieve	VERB
iajs-4064	85	17	its	its	PRON
iajs-4064	85	18	maximum	maximum	ADJ
iajs-4064	85	19	value	value	NOUN
iajs-4064	85	20	,	,	PUNCT
iajs-4064	85	21	the	the	DET
iajs-4064	85	22	mode	mode	NOUN
iajs-4064	85	23	of	of	ADP
iajs-4064	85	24	(	(	PUNCT
iajs-4064	85	25	eer	eer	PROPN
iajs-4064	85	26	)	)	PUNCT
iajs-4064	85	27	is	be	AUX
iajs-4064	85	28	obtained	obtain	VERB
iajs-4064	85	29	as	as	ADP
iajs-4064	85	30	follows	follow	VERB
iajs-4064	85	31	:	:	PUNCT
iajs-4064	85	32	from	from	ADP
iajs-4064	85	33	equation	equation	NOUN
iajs-4064	85	34	2	2	NUM
iajs-4064	85	35	the	the	DET
iajs-4064	85	36	mode	mode	NOUN
iajs-4064	85	37	of	of	ADP
iajs-4064	85	38	(	(	PUNCT
iajs-4064	85	39	eer	eer	PROPN
iajs-4064	85	40	)	)	PUNCT
iajs-4064	85	41	is	be	AUX
iajs-4064	85	42	defined	define	VERB
iajs-4064	85	43	by	by	ADP
iajs-4064	85	44	:	:	PUNCT
iajs-4064	85	45	(	(	PUNCT
iajs-4064	85	46	)	)	PUNCT
iajs-4064	85	47	(	(	PUNCT
iajs-4064	85	48	)	)	PUNCT
iajs-4064	85	49	(	(	PUNCT
iajs-4064	85	50	)	)	PUNCT
iajs-4064	85	51	(	(	PUNCT
iajs-4064	85	52	)	)	PUNCT
iajs-4064	85	53	(	(	PUNCT
iajs-4064	85	54	(	(	PUNCT
iajs-4064	85	55	)	)	PUNCT
iajs-4064	85	56	(	(	PUNCT
iajs-4064	85	57	(	(	PUNCT
iajs-4064	85	58	)	)	PUNCT
iajs-4064	85	59	)	)	PUNCT
iajs-4064	86	1	(	(	PUNCT
iajs-4064	86	2	)	)	PUNCT
iajs-4064	86	3	(	(	PUNCT
iajs-4064	86	4	)	)	PUNCT
iajs-4064	86	5	)	)	PUNCT
iajs-4064	87	1	(	(	PUNCT
iajs-4064	87	2	(	(	PUNCT
iajs-4064	87	3	)	)	PUNCT
iajs-4064	87	4	)	)	PUNCT
iajs-4064	87	5	(	(	PUNCT
iajs-4064	87	6	(	(	PUNCT
iajs-4064	87	7	)	)	PUNCT
iajs-4064	87	8	(	(	PUNCT
iajs-4064	87	9	)	)	PUNCT
iajs-4064	87	10	(	(	PUNCT
iajs-4064	87	11	)	)	PUNCT
iajs-4064	87	12	)	)	PUNCT
iajs-4064	87	13	ihjpas	ihjpas	PROPN
iajs-4064	87	14	.	.	PUNCT
iajs-4064	88	1	2025,38(4	2025,38(4	NOUN
iajs-4064	88	2	)	)	PUNCT
iajs-4064	89	1	346	346	NUM
iajs-4064	89	2	(	(	PUNCT
iajs-4064	89	3	)	)	PUNCT
iajs-4064	89	4	(	(	PUNCT
iajs-4064	89	5	)	)	PUNCT
iajs-4064	89	6	(	(	PUNCT
iajs-4064	89	7	)	)	PUNCT
iajs-4064	89	8	(	(	PUNCT
iajs-4064	89	9	(	(	PUNCT
iajs-4064	89	10	)	)	PUNCT
iajs-4064	89	11	)	)	PUNCT
iajs-4064	89	12	(	(	PUNCT
iajs-4064	89	13	)	)	PUNCT
iajs-4064	89	14	(	(	PUNCT
iajs-4064	89	15	(	(	PUNCT
iajs-4064	89	16	)	)	PUNCT
iajs-4064	89	17	)	)	PUNCT
iajs-4064	89	18	(	(	PUNCT
iajs-4064	89	19	(	(	PUNCT
iajs-4064	89	20	)	)	PUNCT
iajs-4064	89	21	)	)	PUNCT
iajs-4064	90	1	(	(	PUNCT
iajs-4064	90	2	)	)	PUNCT
iajs-4064	90	3	(	(	PUNCT
iajs-4064	90	4	(	(	PUNCT
iajs-4064	90	5	)	)	PUNCT
iajs-4064	90	6	)	)	PUNCT
iajs-4064	90	7	(	(	PUNCT
iajs-4064	90	8	(	(	PUNCT
iajs-4064	90	9	)	)	PUNCT
iajs-4064	90	10	(	(	PUNCT
iajs-4064	90	11	)	)	PUNCT
iajs-4064	90	12	(	(	PUNCT
iajs-4064	90	13	)	)	PUNCT
iajs-4064	90	14	(	(	PUNCT
iajs-4064	90	15	(	(	PUNCT
iajs-4064	90	16	)	)	PUNCT
iajs-4064	90	17	)	)	PUNCT
iajs-4064	91	1	(	(	PUNCT
iajs-4064	91	2	(	(	PUNCT
iajs-4064	91	3	)	)	PUNCT
iajs-4064	91	4	)	)	PUNCT
iajs-4064	91	5	)	)	PUNCT
iajs-4064	92	1	since	since	SCONJ
iajs-4064	92	2	then	then	ADV
iajs-4064	92	3	(	(	PUNCT
iajs-4064	92	4	)	)	PUNCT
iajs-4064	92	5	(	(	PUNCT
iajs-4064	92	6	(	(	PUNCT
iajs-4064	92	7	)	)	PUNCT
iajs-4064	92	8	)	)	PUNCT
iajs-4064	92	9	(	(	PUNCT
iajs-4064	92	10	)	)	PUNCT
iajs-4064	92	11	(	(	PUNCT
iajs-4064	92	12	)	)	PUNCT
iajs-4064	92	13	(	(	PUNCT
iajs-4064	92	14	)	)	PUNCT
iajs-4064	92	15	(	(	PUNCT
iajs-4064	92	16	(	(	PUNCT
iajs-4064	92	17	)	)	PUNCT
iajs-4064	92	18	)	)	PUNCT
iajs-4064	92	19	(	(	PUNCT
iajs-4064	92	20	(	(	PUNCT
iajs-4064	92	21	)	)	PUNCT
iajs-4064	92	22	)	)	PUNCT
iajs-4064	92	23	this	this	DET
iajs-4064	92	24	equation	equation	NOUN
iajs-4064	92	25	is	be	AUX
iajs-4064	92	26	difficult	difficult	ADJ
iajs-4064	92	27	to	to	PART
iajs-4064	92	28	solve	solve	VERB
iajs-4064	92	29	;	;	PUNCT
iajs-4064	92	30	it	it	PRON
iajs-4064	92	31	is	be	AUX
iajs-4064	92	32	solved	solve	VERB
iajs-4064	92	33	using	use	VERB
iajs-4064	92	34	matlab	matlab	PROPN
iajs-4064	92	35	programs	program	NOUN
iajs-4064	92	36	.	.	PUNCT
iajs-4064	93	1	3.2	3.2	NUM
iajs-4064	93	2	.	.	PUNCT
iajs-4064	93	3	moments	moment	NOUN
iajs-4064	93	4	about	about	ADP
iajs-4064	93	5	the	the	DET
iajs-4064	93	6	origin	origin	NOUN
iajs-4064	93	7	(	(	PUNCT
iajs-4064	93	8	31	31	NUM
iajs-4064	93	9	)	)	PUNCT
iajs-4064	93	10	the	the	DET
iajs-4064	93	11	𝑟𝑡	𝑟𝑡	ADJ
iajs-4064	93	12	moment	moment	NOUN
iajs-4064	93	13	about	about	ADP
iajs-4064	93	14	the	the	DET
iajs-4064	93	15	origin	origin	NOUN
iajs-4064	93	16	can	can	AUX
iajs-4064	93	17	be	be	AUX
iajs-4064	93	18	obtained	obtain	VERB
iajs-4064	93	19	by	by	ADP
iajs-4064	93	20	:	:	PUNCT
iajs-4064	93	21	(	(	PUNCT
iajs-4064	93	22	)	)	PUNCT
iajs-4064	93	23	∫	∫	PROPN
iajs-4064	93	24	(	(	PUNCT
iajs-4064	93	25	)	)	PUNCT
iajs-4064	93	26	∫	∫	PROPN
iajs-4064	93	27	(	(	PUNCT
iajs-4064	93	28	(	(	PUNCT
iajs-4064	93	29	)	)	PUNCT
iajs-4064	93	30	(	(	PUNCT
iajs-4064	93	31	)	)	PUNCT
iajs-4064	93	32	(	(	PUNCT
iajs-4064	93	33	(	(	PUNCT
iajs-4064	93	34	)	)	PUNCT
iajs-4064	93	35	)	)	PUNCT
iajs-4064	93	36	)	)	PUNCT
iajs-4064	94	1	(	(	PUNCT
iajs-4064	94	2	(	(	PUNCT
iajs-4064	94	3	)	)	PUNCT
iajs-4064	94	4	)	)	PUNCT
iajs-4064	95	1	(	(	PUNCT
iajs-4064	95	2	(	(	PUNCT
iajs-4064	95	3	)	)	PUNCT
iajs-4064	95	4	)	)	PUNCT
iajs-4064	96	1	(	(	PUNCT
iajs-4064	96	2	(	(	PUNCT
iajs-4064	96	3	)	)	PUNCT
iajs-4064	96	4	)	)	PUNCT
iajs-4064	97	1	(	(	PUNCT
iajs-4064	97	2	(	(	PUNCT
iajs-4064	97	3	)	)	PUNCT
iajs-4064	97	4	)	)	PUNCT
iajs-4064	97	5	∑	∑	PROPN
iajs-4064	97	6	(	(	PUNCT
iajs-4064	97	7	)	)	PUNCT
iajs-4064	97	8	(	(	PUNCT
iajs-4064	97	9	)	)	PUNCT
iajs-4064	97	10	(	(	PUNCT
iajs-4064	97	11	)	)	PUNCT
iajs-4064	97	12	(	(	PUNCT
iajs-4064	97	13	(	(	PUNCT
iajs-4064	97	14	)	)	PUNCT
iajs-4064	97	15	)	)	PUNCT
iajs-4064	97	16	∑	∑	PUNCT
iajs-4064	97	17	(	(	PUNCT
iajs-4064	97	18	)	)	PUNCT
iajs-4064	97	19	(	(	PUNCT
iajs-4064	97	20	)	)	PUNCT
iajs-4064	97	21	(	(	PUNCT
iajs-4064	97	22	(	(	PUNCT
iajs-4064	97	23	)	)	PUNCT
iajs-4064	97	24	)	)	PUNCT
iajs-4064	98	1	∑	∑	PUNCT
iajs-4064	98	2	∑	∑	PUNCT
iajs-4064	98	3	(	(	PUNCT
iajs-4064	98	4	)	)	PUNCT
iajs-4064	98	5	(	(	PUNCT
iajs-4064	98	6	)	)	PUNCT
iajs-4064	98	7	(	(	PUNCT
iajs-4064	98	8	)	)	PUNCT
iajs-4064	98	9	(	(	PUNCT
iajs-4064	98	10	)	)	PUNCT
iajs-4064	98	11	(	(	PUNCT
iajs-4064	98	12	)	)	PUNCT
iajs-4064	98	13	(	(	PUNCT
iajs-4064	98	14	)	)	PUNCT
iajs-4064	98	15	∑	∑	ADP
iajs-4064	98	16	∑	∑	PUNCT
iajs-4064	98	17	(	(	PUNCT
iajs-4064	98	18	)	)	PUNCT
iajs-4064	98	19	(	(	PUNCT
iajs-4064	98	20	)	)	PUNCT
iajs-4064	98	21	(	(	PUNCT
iajs-4064	98	22	)	)	PUNCT
iajs-4064	98	23	∫	∫	PROPN
iajs-4064	98	24	(	(	PUNCT
iajs-4064	98	25	)	)	PUNCT
iajs-4064	98	26	(	(	PUNCT
iajs-4064	98	27	)	)	PUNCT
iajs-4064	98	28	(	(	PUNCT
iajs-4064	98	29	)	)	PUNCT
iajs-4064	98	30	since	since	SCONJ
iajs-4064	98	31	(	(	PUNCT
iajs-4064	98	32	)	)	PUNCT
iajs-4064	98	33	(	(	PUNCT
iajs-4064	98	34	)	)	PUNCT
iajs-4064	98	35	(	(	PUNCT
iajs-4064	98	36	)	)	PUNCT
iajs-4064	98	37	(	(	PUNCT
iajs-4064	98	38	)	)	PUNCT
iajs-4064	98	39	(	(	PUNCT
iajs-4064	98	40	)	)	PUNCT
iajs-4064	98	41	∑	∑	PROPN
iajs-4064	98	42	(	(	PUNCT
iajs-4064	98	43	)	)	PUNCT
iajs-4064	98	44	(	(	PUNCT
iajs-4064	98	45	)	)	PUNCT
iajs-4064	98	46	(	(	PUNCT
iajs-4064	98	47	)	)	PUNCT
iajs-4064	98	48	∑	∑	ADP
iajs-4064	98	49	∑	∑	PROPN
iajs-4064	98	50	∑	∑	PUNCT
iajs-4064	98	51	(	(	PUNCT
iajs-4064	98	52	)	)	PUNCT
iajs-4064	98	53	(	(	PUNCT
iajs-4064	98	54	)	)	PUNCT
iajs-4064	98	55	(	(	PUNCT
iajs-4064	98	56	)	)	PUNCT
iajs-4064	98	57	∫	∫	PROPN
iajs-4064	98	58	(	(	PUNCT
iajs-4064	98	59	)	)	PUNCT
iajs-4064	98	60	(	(	PUNCT
iajs-4064	98	61	)	)	PUNCT
iajs-4064	98	62	suppose	suppose	VERB
iajs-4064	98	63	that	that	SCONJ
iajs-4064	98	64	∑	∑	PROPN
iajs-4064	98	65	∑	∑	PROPN
iajs-4064	98	66	∑	∑	PUNCT
iajs-4064	98	67	(	(	PUNCT
iajs-4064	98	68	)	)	PUNCT
iajs-4064	98	69	(	(	PUNCT
iajs-4064	98	70	)	)	PUNCT
iajs-4064	98	71	(	(	PUNCT
iajs-4064	98	72	)	)	PUNCT
iajs-4064	98	73	(	(	PUNCT
iajs-4064	98	74	)	)	PUNCT
iajs-4064	98	75	(	(	PUNCT
iajs-4064	98	76	∫	∫	PROPN
iajs-4064	98	77	(	(	PUNCT
iajs-4064	98	78	)	)	PUNCT
iajs-4064	98	79	∫	∫	PROPN
iajs-4064	98	80	(	(	PUNCT
iajs-4064	98	81	)	)	PUNCT
iajs-4064	98	82	)	)	PUNCT
iajs-4064	98	83	𝑡	𝑡	PROPN
iajs-4064	98	84	(	(	PUNCT
iajs-4064	98	85	)	)	PUNCT
iajs-4064	98	86	(	(	PUNCT
iajs-4064	98	87	)	)	PUNCT
iajs-4064	98	88	(	(	PUNCT
iajs-4064	98	89	)	)	PUNCT
iajs-4064	98	90	ihjpas	ihjpas	PROPN
iajs-4064	98	91	.	.	PUNCT
iajs-4064	99	1	2025,38(4	2025,38(4	NOUN
iajs-4064	99	2	)	)	PUNCT
iajs-4064	100	1	347	347	NUM
iajs-4064	100	2	(	(	PUNCT
iajs-4064	100	3	)	)	PUNCT
iajs-4064	100	4	(	(	PUNCT
iajs-4064	100	5	∫	∫	PROPN
iajs-4064	100	6	(	(	PUNCT
iajs-4064	100	7	(	(	PUNCT
iajs-4064	100	8	)	)	PUNCT
iajs-4064	100	9	)	)	PUNCT
iajs-4064	100	10	(	(	PUNCT
iajs-4064	100	11	)	)	PUNCT
iajs-4064	100	12	∫	∫	PROPN
iajs-4064	100	13	(	(	PUNCT
iajs-4064	100	14	(	(	PUNCT
iajs-4064	100	15	)	)	PUNCT
iajs-4064	100	16	)	)	PUNCT
iajs-4064	100	17	(	(	PUNCT
iajs-4064	100	18	)	)	PUNCT
iajs-4064	100	19	)	)	PUNCT
iajs-4064	101	1	(	(	PUNCT
iajs-4064	101	2	)	)	PUNCT
iajs-4064	101	3	(	(	PUNCT
iajs-4064	101	4	)	)	PUNCT
iajs-4064	101	5	(	(	PUNCT
iajs-4064	101	6	𝑟	𝑟	NOUN
iajs-4064	101	7	)	)	PUNCT
iajs-4064	101	8	(	(	PUNCT
iajs-4064	101	9	(	(	PUNCT
iajs-4064	101	10	)	)	PUNCT
iajs-4064	101	11	)	)	PUNCT
iajs-4064	101	12	(	(	PUNCT
iajs-4064	101	13	𝑟	𝑟	NOUN
iajs-4064	101	14	)	)	PUNCT
iajs-4064	101	15	as	as	ADP
iajs-4064	101	16	a	a	DET
iajs-4064	101	17	direct	direct	ADJ
iajs-4064	101	18	result	result	NOUN
iajs-4064	101	19	it	it	PRON
iajs-4064	101	20	can	can	AUX
iajs-4064	101	21	be	be	AUX
iajs-4064	101	22	found	find	VERB
iajs-4064	101	23	(	(	PUNCT
iajs-4064	101	24	)	)	PUNCT
iajs-4064	101	25	(	(	PUNCT
iajs-4064	101	26	)	)	PUNCT
iajs-4064	101	27	(	(	PUNCT
iajs-4064	101	28	)	)	PUNCT
iajs-4064	101	29	(	(	PUNCT
iajs-4064	101	30	)	)	PUNCT
iajs-4064	101	31	𝑟	𝑟	NOUN
iajs-4064	101	32	(	(	PUNCT
iajs-4064	101	33	)	)	PUNCT
iajs-4064	101	34	(	(	PUNCT
iajs-4064	101	35	)	)	PUNCT
iajs-4064	101	36	(	(	PUNCT
iajs-4064	101	37	)	)	PUNCT
iajs-4064	101	38	(	(	PUNCT
iajs-4064	101	39	)	)	PUNCT
iajs-4064	101	40	(	(	PUNCT
iajs-4064	101	41	)	)	PUNCT
iajs-4064	101	42	(	(	PUNCT
iajs-4064	101	43	(	(	PUNCT
iajs-4064	101	44	)	)	PUNCT
iajs-4064	101	45	)	)	PUNCT
iajs-4064	102	1	(	(	PUNCT
iajs-4064	102	2	)	)	PUNCT
iajs-4064	102	3	(	(	PUNCT
iajs-4064	102	4	5	5	NUM
iajs-4064	102	5	)	)	PUNCT
iajs-4064	102	6	3.3	3.3	NUM
iajs-4064	102	7	.	.	PUNCT
iajs-4064	103	1	mean	mean	VERB
iajs-4064	103	2	time	time	NOUN
iajs-4064	103	3	to	to	ADP
iajs-4064	103	4	failure	failure	NOUN
iajs-4064	103	5	we	we	PRON
iajs-4064	103	6	can	can	AUX
iajs-4064	103	7	find	find	VERB
iajs-4064	103	8	this	this	DET
iajs-4064	103	9	property	property	NOUN
iajs-4064	103	10	by	by	SCONJ
iajs-4064	103	11	find	find	VERB
iajs-4064	103	12	the	the	DET
iajs-4064	103	13	expected	expect	VERB
iajs-4064	103	14	:	:	PUNCT
iajs-4064	103	15	(	(	PUNCT
iajs-4064	103	16	)	)	PUNCT
iajs-4064	103	17	(	(	PUNCT
iajs-4064	103	18	)	)	PUNCT
iajs-4064	103	19	as	as	ADP
iajs-4064	103	20	in	in	ADP
iajs-4064	103	21	equation	equation	NOUN
iajs-4064	103	22	5	5	NUM
iajs-4064	103	23	(	(	PUNCT
iajs-4064	103	24	)	)	PUNCT
iajs-4064	103	25	(	(	PUNCT
iajs-4064	103	26	)	)	PUNCT
iajs-4064	103	27	(	(	PUNCT
iajs-4064	103	28	)	)	PUNCT
iajs-4064	103	29	(	(	PUNCT
iajs-4064	103	30	)	)	PUNCT
iajs-4064	103	31	(	(	PUNCT
iajs-4064	103	32	(	(	PUNCT
iajs-4064	103	33	)	)	PUNCT
iajs-4064	103	34	)	)	PUNCT
iajs-4064	104	1	(	(	PUNCT
iajs-4064	104	2	)	)	PUNCT
iajs-4064	104	3	(	(	PUNCT
iajs-4064	104	4	)	)	PUNCT
iajs-4064	104	5	(	(	PUNCT
iajs-4064	104	6	)	)	PUNCT
iajs-4064	104	7	(	(	PUNCT
iajs-4064	104	8	(	(	PUNCT
iajs-4064	104	9	)	)	PUNCT
iajs-4064	104	10	)	)	PUNCT
iajs-4064	104	11	3.4	3.4	NUM
iajs-4064	104	12	.	.	PUNCT
iajs-4064	104	13	coefficients	coefficient	NOUN
iajs-4064	104	14	of	of	ADP
iajs-4064	104	15	skewness	skewness	NOUN
iajs-4064	104	16	and	and	CCONJ
iajs-4064	104	17	kurtosis	kurtosis	NOUN
iajs-4064	104	18	(	(	PUNCT
iajs-4064	104	19	32	32	NUM
iajs-4064	104	20	)	)	PUNCT
iajs-4064	104	21	depending	depend	VERB
iajs-4064	104	22	on	on	ADP
iajs-4064	104	23	the	the	DET
iajs-4064	104	24	moment	moment	NOUN
iajs-4064	104	25	,	,	PUNCT
iajs-4064	104	26	the	the	DET
iajs-4064	104	27	coefficients	coefficient	NOUN
iajs-4064	104	28	skewness	skewness	NOUN
iajs-4064	104	29	(	(	PUNCT
iajs-4064	104	30	)	)	PUNCT
iajs-4064	104	31	and	and	CCONJ
iajs-4064	104	32	kurtosis	kurtosis	NOUN
iajs-4064	104	33	(	(	PUNCT
iajs-4064	104	34	)	)	PUNCT
iajs-4064	104	35	can	can	AUX
iajs-4064	104	36	be	be	AUX
iajs-4064	104	37	found	find	VERB
iajs-4064	104	38	through	through	ADP
iajs-4064	104	39	the	the	DET
iajs-4064	104	40	following	follow	VERB
iajs-4064	104	41	formulas	formula	NOUN
iajs-4064	104	42	(	(	PUNCT
iajs-4064	104	43	30	30	NUM
iajs-4064	104	44	)	)	PUNCT
iajs-4064	104	45	.	.	PUNCT
iajs-4064	105	1	:	:	PUNCT
iajs-4064	105	2	(	(	PUNCT
iajs-4064	105	3	)	)	PUNCT
iajs-4064	105	4	(	(	PUNCT
iajs-4064	105	5	)	)	PUNCT
iajs-4064	105	6	(	(	PUNCT
iajs-4064	105	7	)	)	PUNCT
iajs-4064	105	8	(	(	PUNCT
iajs-4064	105	9	(	(	PUNCT
iajs-4064	105	10	)	)	PUNCT
iajs-4064	105	11	)	)	PUNCT
iajs-4064	105	12	(	(	PUNCT
iajs-4064	105	13	)	)	PUNCT
iajs-4064	105	14	(	(	PUNCT
iajs-4064	105	15	)	)	PUNCT
iajs-4064	105	16	(	(	PUNCT
iajs-4064	105	17	)	)	PUNCT
iajs-4064	105	18	(	(	PUNCT
iajs-4064	105	19	)	)	PUNCT
iajs-4064	105	20	(	(	PUNCT
iajs-4064	105	21	)	)	PUNCT
iajs-4064	105	22	(	(	PUNCT
iajs-4064	105	23	)	)	PUNCT
iajs-4064	105	24	(	(	PUNCT
iajs-4064	105	25	(	(	PUNCT
iajs-4064	105	26	)	)	PUNCT
iajs-4064	105	27	)	)	PUNCT
iajs-4064	106	1	(	(	PUNCT
iajs-4064	106	2	)	)	PUNCT
iajs-4064	106	3	(	(	PUNCT
iajs-4064	106	4	)	)	PUNCT
iajs-4064	106	5	(	(	PUNCT
iajs-4064	106	6	(	(	PUNCT
iajs-4064	106	7	)	)	PUNCT
iajs-4064	106	8	)	)	PUNCT
iajs-4064	106	9	table	table	NOUN
iajs-4064	106	10	1	1	NUM
iajs-4064	106	11	.	.	PUNCT
iajs-4064	107	1	the	the	DET
iajs-4064	107	2	first	first	ADJ
iajs-4064	107	3	fourth	fourth	ADJ
iajs-4064	107	4	moments	moment	NOUN
iajs-4064	107	5	,	,	PUNCT
iajs-4064	107	6	variance	variance	NOUN
iajs-4064	107	7	,	,	PUNCT
iajs-4064	107	8	skewness	skewness	NOUN
iajs-4064	107	9	,	,	PUNCT
iajs-4064	107	10	and	and	CCONJ
iajs-4064	107	11	kurtosis	kurtosis	VERB
iajs-4064	107	12	for	for	ADP
iajs-4064	107	13	the	the	DET
iajs-4064	107	14	distribution	distribution	NOUN
iajs-4064	107	15	λ	λ	PROPN
iajs-4064	107	16	2.5	2.5	NUM
iajs-4064	107	17	2	2	NUM
iajs-4064	107	18	1.5	1.5	NUM
iajs-4064	107	19	0.4106	0.4106	NUM
iajs-4064	107	20	0.2538	0.2538	NUM
iajs-4064	107	21	0.2026	0.2026	NUM
iajs-4064	107	22	0.1946	0.1946	NUM
iajs-4064	107	23	0.0213	0.0213	NUM
iajs-4064	107	24	1.5849	1.5849	NUM
iajs-4064	107	25	0.0852	0.0852	NUM
iajs-4064	107	26	1.5	1.5	NUM
iajs-4064	107	27	1	1	NUM
iajs-4064	107	28	0.3388	0.3388	NUM
iajs-4064	107	29	0.2039	0.2039	NUM
iajs-4064	107	30	0.1679	0.1679	NUM
iajs-4064	107	31	0.1708	0.1708	NUM
iajs-4064	107	32	1.1071	1.1071	NUM
iajs-4064	107	33	1.8228	1.8228	NUM
iajs-4064	107	34	0.0891	0.0891	NUM
iajs-4064	107	35	2	2	NUM
iajs-4064	107	36	0.1	0.1	NUM
iajs-4064	107	37	0.5	0.5	NUM
iajs-4064	107	38	0.3005	0.3005	NUM
iajs-4064	107	39	0.2543	0.2543	NUM
iajs-4064	107	40	0.3407	0.3407	NUM
iajs-4064	107	41	0.6124	0.6124	NUM
iajs-4064	107	42	6.4725	6.4725	NUM
iajs-4064	107	43	2.6571	2.6571	NUM
iajs-4064	107	44	0.1640	0.1640	NUM
iajs-4064	107	45	0.6	0.6	NUM
iajs-4064	107	46	0.9	0.9	NUM
iajs-4064	107	47	0.4168	0.4168	NUM
iajs-4064	107	48	0.3327	0.3327	NUM
iajs-4064	107	49	0.3747	0.3747	NUM
iajs-4064	107	50	0.5312	0.5312	NUM
iajs-4064	107	51	1.7988	1.7988	NUM
iajs-4064	107	52	1.9524	1.9524	NUM
iajs-4064	107	53	0.1590	0.1590	NUM
iajs-4064	107	54	1.5	1.5	NUM
iajs-4064	107	55	2	2	NUM
iajs-4064	107	56	0.7	0.7	NUM
iajs-4064	107	57	0.3606	0.3606	NUM
iajs-4064	107	58	0.2448	0.2448	NUM
iajs-4064	107	59	0.2236	0.2236	NUM
iajs-4064	107	60	0.2474	0.2474	NUM
iajs-4064	107	61	1.1273	1.1273	NUM
iajs-4064	107	62	1.8457	1.8457	NUM
iajs-4064	107	63	0.1148	0.1148	NUM
iajs-4064	107	64	2.8	2.8	NUM
iajs-4064	107	65	0.5	0.5	NUM
iajs-4064	107	66	0.2658	0.2658	NUM
iajs-4064	107	67	0.1536	0.1536	NUM
iajs-4064	107	68	0.1217	0.1217	NUM
iajs-4064	107	69	0.1173	0.1173	NUM
iajs-4064	107	70	1.9733	1.9733	NUM
iajs-4064	107	71	2.0217	2.0217	NUM
iajs-4064	107	72	0.0830	0.0830	NUM
iajs-4064	107	73	ihjpas	ihjpa	NOUN
iajs-4064	107	74	.	.	PUNCT
iajs-4064	108	1	2025,38(4	2025,38(4	NOUN
iajs-4064	108	2	)	)	PUNCT
iajs-4064	109	1	348	348	NUM
iajs-4064	109	2	the	the	DET
iajs-4064	109	3	distribution	distribution	NOUN
iajs-4064	109	4	is	be	AUX
iajs-4064	109	5	skewed	skew	VERB
iajs-4064	109	6	to	to	ADP
iajs-4064	109	7	the	the	DET
iajs-4064	109	8	right	right	NOUN
iajs-4064	109	9	based	base	VERB
iajs-4064	109	10	on	on	ADP
iajs-4064	109	11	the	the	DET
iajs-4064	109	12	provided	provide	VERB
iajs-4064	109	13	data	data	NOUN
iajs-4064	109	14	values	value	NOUN
iajs-4064	109	15	because	because	SCONJ
iajs-4064	109	16	the	the	DET
iajs-4064	109	17	skewness	skewness	NOUN
iajs-4064	109	18	values	value	NOUN
iajs-4064	109	19	are	be	AUX
iajs-4064	109	20	positive	positive	ADJ
iajs-4064	109	21	.	.	PUNCT
iajs-4064	110	1	the	the	DET
iajs-4064	110	2	values	value	NOUN
iajs-4064	110	3	of	of	ADP
iajs-4064	110	4	the	the	DET
iajs-4064	110	5	specified	specify	VERB
iajs-4064	110	6	features	feature	NOUN
iajs-4064	110	7	determine	determine	VERB
iajs-4064	110	8	the	the	DET
iajs-4064	110	9	flatness	flatness	NOUN
iajs-4064	110	10	.	.	PUNCT
iajs-4064	111	1	for	for	ADP
iajs-4064	111	2	numbers	number	NOUN
iajs-4064	111	3	more	more	ADJ
iajs-4064	111	4	than	than	ADP
iajs-4064	111	5	three	three	NUM
iajs-4064	111	6	,	,	PUNCT
iajs-4064	111	7	it	it	PRON
iajs-4064	111	8	is	be	AUX
iajs-4064	111	9	flattened	flatten	VERB
iajs-4064	111	10	;	;	PUNCT
iajs-4064	111	11	for	for	ADP
iajs-4064	111	12	values	value	NOUN
iajs-4064	111	13	less	less	ADJ
iajs-4064	111	14	than	than	ADP
iajs-4064	111	15	three	three	NUM
iajs-4064	111	16	,	,	PUNCT
iajs-4064	111	17	it	it	PRON
iajs-4064	111	18	is	be	AUX
iajs-4064	111	19	pointed	point	VERB
iajs-4064	111	20	.	.	PUNCT
iajs-4064	112	1	3.5	3.5	X
iajs-4064	112	2	.	.	PUNCT
iajs-4064	112	3	characteristic	characteristic	ADJ
iajs-4064	112	4	function	function	NOUN
iajs-4064	112	5	(	(	PUNCT
iajs-4064	112	6	33	33	NUM
iajs-4064	112	7	)	)	PUNCT
iajs-4064	112	8	(	(	PUNCT
iajs-4064	112	9	𝑡	𝑡	NOUN
iajs-4064	112	10	)	)	PUNCT
iajs-4064	112	11	(	(	PUNCT
iajs-4064	112	12	)	)	PUNCT
iajs-4064	112	13	∫	∫	PROPN
iajs-4064	112	14	(	(	PUNCT
iajs-4064	112	15	)	)	PUNCT
iajs-4064	112	16	∫	∫	PROPN
iajs-4064	112	17	(	(	PUNCT
iajs-4064	112	18	(	(	PUNCT
iajs-4064	112	19	)	)	PUNCT
iajs-4064	112	20	(	(	PUNCT
iajs-4064	112	21	)	)	PUNCT
iajs-4064	112	22	(	(	PUNCT
iajs-4064	112	23	(	(	PUNCT
iajs-4064	112	24	)	)	PUNCT
iajs-4064	112	25	)	)	PUNCT
iajs-4064	112	26	(	(	PUNCT
iajs-4064	112	27	(	(	PUNCT
iajs-4064	112	28	)	)	PUNCT
iajs-4064	112	29	)	)	PUNCT
iajs-4064	112	30	)	)	PUNCT
iajs-4064	113	1	(	(	PUNCT
iajs-4064	113	2	𝑡	𝑡	X
iajs-4064	113	3	)	)	PUNCT
iajs-4064	113	4	∫	∫	PROPN
iajs-4064	113	5	(	(	PUNCT
iajs-4064	113	6	)	)	PUNCT
iajs-4064	113	7	(	(	PUNCT
iajs-4064	113	8	)	)	PUNCT
iajs-4064	114	1	[	[	PUNCT
iajs-4064	114	2	∫	∫	PROPN
iajs-4064	114	3	(	(	PUNCT
iajs-4064	114	4	)	)	PUNCT
iajs-4064	114	5	∫	∫	PROPN
iajs-4064	114	6	(	(	PUNCT
iajs-4064	114	7	)	)	PUNCT
iajs-4064	114	8	]	]	PUNCT
iajs-4064	114	9	∫	∫	PROPN
iajs-4064	114	10	(	(	PUNCT
iajs-4064	114	11	(	(	PUNCT
iajs-4064	114	12	)	)	PUNCT
iajs-4064	114	13	)	)	PUNCT
iajs-4064	114	14	∫	∫	PROPN
iajs-4064	114	15	(	(	PUNCT
iajs-4064	114	16	(	(	PUNCT
iajs-4064	114	17	)	)	PUNCT
iajs-4064	114	18	)	)	PUNCT
iajs-4064	115	1	𝑡	𝑡	PROPN
iajs-4064	115	2	(	(	PUNCT
iajs-4064	115	3	(	(	PUNCT
iajs-4064	115	4	)	)	PUNCT
iajs-4064	115	5	𝑡	𝑡	NOUN
iajs-4064	115	6	)	)	PUNCT
iajs-4064	115	7	(	(	PUNCT
iajs-4064	115	8	)	)	PUNCT
iajs-4064	115	9	𝑡	𝑡	PROPN
iajs-4064	115	10	(	(	PUNCT
iajs-4064	115	11	)	)	PUNCT
iajs-4064	115	12	𝑡	𝑡	PROPN
iajs-4064	115	13	∫	∫	PROPN
iajs-4064	115	14	(	(	PUNCT
iajs-4064	115	15	(	(	PUNCT
iajs-4064	115	16	)	)	PUNCT
iajs-4064	115	17	𝑡	𝑡	PROPN
iajs-4064	115	18	)	)	PUNCT
iajs-4064	115	19	(	(	PUNCT
iajs-4064	115	20	)	)	PUNCT
iajs-4064	115	21	𝑡	𝑡	PROPN
iajs-4064	115	22	∫	∫	PROPN
iajs-4064	115	23	(	(	PUNCT
iajs-4064	115	24	(	(	PUNCT
iajs-4064	115	25	)	)	PUNCT
iajs-4064	115	26	𝑡	𝑡	PROPN
iajs-4064	115	27	)	)	PUNCT
iajs-4064	115	28	(	(	PUNCT
iajs-4064	115	29	)	)	PUNCT
iajs-4064	115	30	𝑡	𝑡	PROPN
iajs-4064	115	31	(	(	PUNCT
iajs-4064	115	32	(	(	PUNCT
iajs-4064	115	33	)	)	PUNCT
iajs-4064	115	34	𝑡	𝑡	PROPN
iajs-4064	115	35	)	)	PUNCT
iajs-4064	115	36	∫	∫	PROPN
iajs-4064	115	37	(	(	PUNCT
iajs-4064	115	38	(	(	PUNCT
iajs-4064	115	39	)	)	PUNCT
iajs-4064	115	40	𝑡	𝑡	PROPN
iajs-4064	115	41	)	)	PUNCT
iajs-4064	115	42	∫	∫	PROPN
iajs-4064	115	43	(	(	PUNCT
iajs-4064	115	44	𝑡	𝑡	PROPN
iajs-4064	115	45	)	)	PUNCT
iajs-4064	115	46	(	(	PUNCT
iajs-4064	115	47	(	(	PUNCT
iajs-4064	115	48	)	)	PUNCT
iajs-4064	115	49	𝑡	𝑡	NOUN
iajs-4064	115	50	)	)	PUNCT
iajs-4064	115	51	(	(	PUNCT
iajs-4064	115	52	)	)	PUNCT
iajs-4064	115	53	(	(	PUNCT
iajs-4064	115	54	(	(	PUNCT
iajs-4064	115	55	)	)	PUNCT
iajs-4064	115	56	𝑡	𝑡	NOUN
iajs-4064	115	57	)	)	PUNCT
iajs-4064	115	58	(	(	PUNCT
iajs-4064	115	59	)	)	PUNCT
iajs-4064	115	60	3.6	3.6	NUM
iajs-4064	115	61	.	.	PUNCT
iajs-4064	116	1	moment	moment	NOUN
iajs-4064	116	2	generating	generate	VERB
iajs-4064	116	3	function	function	NOUN
iajs-4064	116	4	(	(	PUNCT
iajs-4064	116	5	34	34	NUM
iajs-4064	116	6	)	)	PUNCT
iajs-4064	116	7	(	(	PUNCT
iajs-4064	116	8	𝑡	𝑡	NOUN
iajs-4064	116	9	)	)	PUNCT
iajs-4064	116	10	(	(	PUNCT
iajs-4064	116	11	)	)	PUNCT
iajs-4064	116	12	∫	∫	PROPN
iajs-4064	116	13	(	(	PUNCT
iajs-4064	116	14	)	)	PUNCT
iajs-4064	116	15	(	(	PUNCT
iajs-4064	116	16	𝑡	𝑡	NOUN
iajs-4064	116	17	)	)	PUNCT
iajs-4064	116	18	∑	∑	ADV
iajs-4064	116	19	∑	∑	PUNCT
iajs-4064	116	20	∑	∑	PUNCT
iajs-4064	116	21	(	(	PUNCT
iajs-4064	116	22	)	)	PUNCT
iajs-4064	116	23	(	(	PUNCT
iajs-4064	116	24	)	)	PUNCT
iajs-4064	116	25	(	(	PUNCT
iajs-4064	116	26	)	)	PUNCT
iajs-4064	116	27	(	(	PUNCT
iajs-4064	116	28	)	)	PUNCT
iajs-4064	117	1	[	[	X
iajs-4064	117	2	∫	∫	X
iajs-4064	117	3	(	(	PUNCT
iajs-4064	117	4	(	(	PUNCT
iajs-4064	117	5	)	)	PUNCT
iajs-4064	117	6	)	)	PUNCT
iajs-4064	117	7	∫	∫	PROPN
iajs-4064	117	8	(	(	PUNCT
iajs-4064	117	9	(	(	PUNCT
iajs-4064	117	10	)	)	PUNCT
iajs-4064	117	11	)	)	PUNCT
iajs-4064	117	12	]	]	PUNCT
iajs-4064	118	1	𝑡	𝑡	X
iajs-4064	118	2	(	(	PUNCT
iajs-4064	118	3	)	)	PUNCT
iajs-4064	118	4	)	)	PUNCT
iajs-4064	118	5	(	(	PUNCT
iajs-4064	118	6	)	)	PUNCT
iajs-4064	118	7	𝑡	𝑡	PROPN
iajs-4064	118	8	(	(	PUNCT
iajs-4064	118	9	)	)	PUNCT
iajs-4064	118	10	𝑡	𝑡	PROPN
iajs-4064	118	11	ihjpas	ihjpas	PROPN
iajs-4064	118	12	.	.	PUNCT
iajs-4064	119	1	2025,38(4	2025,38(4	NOUN
iajs-4064	119	2	)	)	PUNCT
iajs-4064	119	3	349	349	NUM
iajs-4064	119	4	(	(	PUNCT
iajs-4064	119	5	𝑡	𝑡	NOUN
iajs-4064	119	6	)	)	PUNCT
iajs-4064	119	7	(	(	PUNCT
iajs-4064	119	8	(	(	PUNCT
iajs-4064	119	9	)	)	PUNCT
iajs-4064	119	10	𝑡	𝑡	PROPN
iajs-4064	119	11	)	)	PUNCT
iajs-4064	119	12	∫	∫	PROPN
iajs-4064	119	13	(	(	PUNCT
iajs-4064	119	14	(	(	PUNCT
iajs-4064	119	15	)	)	PUNCT
iajs-4064	119	16	𝑡	𝑡	PROPN
iajs-4064	119	17	)	)	PUNCT
iajs-4064	119	18	∫	∫	PROPN
iajs-4064	119	19	(	(	PUNCT
iajs-4064	119	20	𝑡	𝑡	X
iajs-4064	119	21	)	)	PUNCT
iajs-4064	119	22	(	(	PUNCT
iajs-4064	119	23	(	(	PUNCT
iajs-4064	119	24	)	)	PUNCT
iajs-4064	119	25	)	)	PUNCT
iajs-4064	119	26	(	(	PUNCT
iajs-4064	119	27	)	)	PUNCT
iajs-4064	119	28	(	(	PUNCT
iajs-4064	119	29	(	(	PUNCT
iajs-4064	119	30	)	)	PUNCT
iajs-4064	119	31	)	)	PUNCT
iajs-4064	120	1	(	(	PUNCT
iajs-4064	120	2	)	)	PUNCT
iajs-4064	120	3	3.7	3.7	NUM
iajs-4064	120	4	.	.	PUNCT
iajs-4064	121	1	factorial	factorial	ADJ
iajs-4064	121	2	moments	moment	NOUN
iajs-4064	121	3	generating	generate	VERB
iajs-4064	121	4	function	function	NOUN
iajs-4064	121	5	(	(	PUNCT
iajs-4064	121	6	35	35	NUM
iajs-4064	121	7	)	)	PUNCT
iajs-4064	121	8	(	(	PUNCT
iajs-4064	121	9	)	)	PUNCT
iajs-4064	121	10	(	(	PUNCT
iajs-4064	121	11	)	)	PUNCT
iajs-4064	121	12	∫	∫	PROPN
iajs-4064	121	13	(	(	PUNCT
iajs-4064	121	14	)	)	PUNCT
iajs-4064	121	15	∫	∫	PROPN
iajs-4064	121	16	(	(	PUNCT
iajs-4064	121	17	)	)	PUNCT
iajs-4064	121	18	(	(	PUNCT
iajs-4064	121	19	)	)	PUNCT
iajs-4064	121	20	∫	∫	PROPN
iajs-4064	121	21	(	(	PUNCT
iajs-4064	121	22	)	)	PUNCT
iajs-4064	121	23	(	(	PUNCT
iajs-4064	121	24	)	)	PUNCT
iajs-4064	121	25	(	(	PUNCT
iajs-4064	121	26	)	)	PUNCT
iajs-4064	121	27	∫	∫	PROPN
iajs-4064	121	28	(	(	PUNCT
iajs-4064	121	29	)	)	PUNCT
iajs-4064	121	30	(	(	PUNCT
iajs-4064	121	31	)	)	PUNCT
iajs-4064	121	32	(	(	PUNCT
iajs-4064	121	33	)	)	PUNCT
iajs-4064	122	1	[	[	X
iajs-4064	122	2	∫	∫	X
iajs-4064	122	3	(	(	PUNCT
iajs-4064	122	4	(	(	PUNCT
iajs-4064	122	5	)	)	PUNCT
iajs-4064	122	6	)	)	PUNCT
iajs-4064	122	7	∫	∫	PROPN
iajs-4064	122	8	(	(	PUNCT
iajs-4064	122	9	(	(	PUNCT
iajs-4064	122	10	)	)	PUNCT
iajs-4064	122	11	)	)	PUNCT
iajs-4064	122	12	]	]	PUNCT
iajs-4064	123	1	[	[	X
iajs-4064	123	2	(	(	PUNCT
iajs-4064	123	3	)	)	PUNCT
iajs-4064	123	4	]	]	PUNCT
iajs-4064	123	5	(	(	PUNCT
iajs-4064	123	6	)	)	PUNCT
iajs-4064	123	7	(	(	PUNCT
iajs-4064	123	8	)	)	PUNCT
iajs-4064	123	9	(	(	PUNCT
iajs-4064	123	10	)	)	PUNCT
iajs-4064	124	1	[	[	X
iajs-4064	124	2	∫	∫	X
iajs-4064	125	1	[	[	X
iajs-4064	125	2	(	(	PUNCT
iajs-4064	125	3	)	)	PUNCT
iajs-4064	125	4	]	]	PUNCT
iajs-4064	125	5	(	(	PUNCT
iajs-4064	125	6	)	)	PUNCT
iajs-4064	125	7	∫	∫	PROPN
iajs-4064	126	1	[	[	X
iajs-4064	126	2	(	(	PUNCT
iajs-4064	126	3	)	)	PUNCT
iajs-4064	126	4	]	]	PUNCT
iajs-4064	126	5	(	(	PUNCT
iajs-4064	126	6	)	)	PUNCT
iajs-4064	126	7	]	]	PUNCT
iajs-4064	126	8	(	(	PUNCT
iajs-4064	126	9	𝑡	𝑡	X
iajs-4064	126	10	)	)	PUNCT
iajs-4064	126	11	[	[	X
iajs-4064	126	12	(	(	PUNCT
iajs-4064	126	13	)	)	PUNCT
iajs-4064	126	14	𝑡	𝑡	PROPN
iajs-4064	126	15	]	]	PUNCT
iajs-4064	126	16	∫	∫	PROPN
iajs-4064	127	1	[	[	X
iajs-4064	127	2	(	(	PUNCT
iajs-4064	127	3	)	)	PUNCT
iajs-4064	127	4	𝑡	𝑡	PROPN
iajs-4064	127	5	]	]	PUNCT
iajs-4064	127	6	∫	∫	PROPN
iajs-4064	127	7	(	(	PUNCT
iajs-4064	127	8	𝑡	𝑡	X
iajs-4064	127	9	)	)	PUNCT
iajs-4064	128	1	[	[	X
iajs-4064	128	2	(	(	PUNCT
iajs-4064	128	3	)	)	PUNCT
iajs-4064	128	4	]	]	PUNCT
iajs-4064	128	5	(	(	PUNCT
iajs-4064	128	6	)	)	PUNCT
iajs-4064	128	7	(	(	PUNCT
iajs-4064	128	8	(	(	PUNCT
iajs-4064	128	9	)	)	PUNCT
iajs-4064	128	10	)	)	PUNCT
iajs-4064	128	11	(	(	PUNCT
iajs-4064	128	12	)	)	PUNCT
iajs-4064	128	13	4	4	X
iajs-4064	128	14	.	.	X
iajs-4064	128	15	conclusion	conclusion	VERB
iajs-4064	128	16	a	a	DET
iajs-4064	128	17	new	new	ADJ
iajs-4064	128	18	statistical	statistical	ADJ
iajs-4064	128	19	lifetime	lifetime	NOUN
iajs-4064	128	20	distribution	distribution	NOUN
iajs-4064	128	21	is	be	AUX
iajs-4064	128	22	represented	represent	VERB
iajs-4064	128	23	by	by	ADP
iajs-4064	128	24	adding	add	VERB
iajs-4064	128	25	the	the	DET
iajs-4064	128	26	shape	shape	NOUN
iajs-4064	128	27	parameter	parameter	NOUN
iajs-4064	128	28	to	to	ADP
iajs-4064	128	29	the	the	DET
iajs-4064	128	30	(	(	PUNCT
iajs-4064	128	31	cdf	cdf	PROPN
iajs-4064	128	32	)	)	PUNCT
iajs-4064	128	33	function	function	NOUN
iajs-4064	128	34	of	of	ADP
iajs-4064	128	35	the	the	DET
iajs-4064	128	36	exponenatied	exponenatied	ADJ
iajs-4064	128	37	-rayleigh	-rayleigh	ADJ
iajs-4064	128	38	distribution	distribution	NOUN
iajs-4064	128	39	called	call	VERB
iajs-4064	128	40	"	"	PUNCT
iajs-4064	128	41	exponentied	exponentie	VERB
iajs-4064	128	42	exponentialrayleigh	exponentialrayleigh	NOUN
iajs-4064	128	43	distribution	distribution	NOUN
iajs-4064	128	44	.	.	PUNCT
iajs-4064	128	45	"	"	PUNCT
iajs-4064	128	46	.	.	PUNCT
iajs-4064	129	1	in	in	ADP
iajs-4064	129	2	addition	addition	NOUN
iajs-4064	129	3	,	,	PUNCT
iajs-4064	129	4	the	the	DET
iajs-4064	129	5	shape	shape	NOUN
iajs-4064	129	6	of	of	ADP
iajs-4064	129	7	the	the	DET
iajs-4064	129	8	probability	probability	NOUN
iajs-4064	129	9	density	density	NOUN
iajs-4064	129	10	function	function	NOUN
iajs-4064	129	11	,	,	PUNCT
iajs-4064	129	12	the	the	DET
iajs-4064	129	13	cumulative	cumulative	ADJ
iajs-4064	129	14	function	function	NOUN
iajs-4064	129	15	,	,	PUNCT
iajs-4064	129	16	and	and	CCONJ
iajs-4064	129	17	the	the	DET
iajs-4064	129	18	hazard	hazard	NOUN
iajs-4064	129	19	function	function	NOUN
iajs-4064	129	20	are	be	AUX
iajs-4064	129	21	discussed	discuss	VERB
iajs-4064	129	22	.	.	PUNCT
iajs-4064	130	1	also	also	ADV
iajs-4064	130	2	,	,	PUNCT
iajs-4064	130	3	the	the	DET
iajs-4064	130	4	basic	basic	ADJ
iajs-4064	130	5	statistical	statistical	ADJ
iajs-4064	130	6	and	and	CCONJ
iajs-4064	130	7	mathematical	mathematical	ADJ
iajs-4064	130	8	properties	property	NOUN
iajs-4064	130	9	of	of	ADP
iajs-4064	130	10	the	the	DET
iajs-4064	130	11	new	new	ADJ
iajs-4064	130	12	distribution	distribution	NOUN
iajs-4064	130	13	,	,	PUNCT
iajs-4064	130	14	such	such	ADJ
iajs-4064	130	15	as	as	ADP
iajs-4064	130	16	mode	mode	NOUN
iajs-4064	130	17	,	,	PUNCT
iajs-4064	130	18	median	median	NOUN
iajs-4064	130	19	,	,	PUNCT
iajs-4064	130	20	r	r	NOUN
iajs-4064	130	21	-	-	PUNCT
iajs-4064	130	22	moments	moment	NOUN
iajs-4064	130	23	around	around	ADP
iajs-4064	130	24	the	the	DET
iajs-4064	130	25	origin	origin	NOUN
iajs-4064	130	26	,	,	PUNCT
iajs-4064	130	27	and	and	CCONJ
iajs-4064	130	28	the	the	DET
iajs-4064	130	29	moment	moment	NOUN
iajs-4064	130	30	-	-	PUNCT
iajs-4064	130	31	generating	generate	VERB
iajs-4064	130	32	function	function	NOUN
iajs-4064	130	33	,	,	PUNCT
iajs-4064	130	34	are	be	AUX
iajs-4064	130	35	varied	varied	ADJ
iajs-4064	130	36	.	.	PUNCT
iajs-4064	131	1	finally	finally	ADV
iajs-4064	131	2	,	,	PUNCT
iajs-4064	131	3	introduce	introduce	VERB
iajs-4064	131	4	the	the	DET
iajs-4064	131	5	table	table	NOUN
iajs-4064	131	6	of	of	ADP
iajs-4064	131	7	applications	application	NOUN
iajs-4064	131	8	with	with	ADP
iajs-4064	131	9	different	different	ADJ
iajs-4064	131	10	values	value	NOUN
iajs-4064	131	11	of	of	ADP
iajs-4064	131	12	parameters	parameter	NOUN
iajs-4064	131	13	.	.	PUNCT
iajs-4064	132	1	acknowledgments	acknowledgment	NOUN
iajs-4064	132	2	the	the	DET
iajs-4064	132	3	author	author	NOUN
iajs-4064	132	4	extends	extend	VERB
iajs-4064	132	5	his	his	PRON
iajs-4064	132	6	sincere	sincere	ADJ
iajs-4064	132	7	thanks	thank	NOUN
iajs-4064	132	8	to	to	ADP
iajs-4064	132	9	the	the	DET
iajs-4064	132	10	editor	editor	NOUN
iajs-4064	132	11	-	-	PUNCT
iajs-4064	132	12	in	in	ADP
iajs-4064	132	13	-	-	PUNCT
iajs-4064	132	14	chief	chief	NOUN
iajs-4064	132	15	and	and	CCONJ
iajs-4064	132	16	members	member	NOUN
iajs-4064	132	17	of	of	ADP
iajs-4064	132	18	the	the	DET
iajs-4064	132	19	preparatory	preparatory	PROPN
iajs-4064	132	20	committee	committee	NOUN
iajs-4064	132	21	of	of	ADP
iajs-4064	132	22	ibn	ibn	PROPN
iajs-4064	132	23	al	al	PROPN
iajs-4064	132	24	-	-	PUNCT
iajs-4064	132	25	haitham	haitham	PROPN
iajs-4064	132	26	journal	journal	PROPN
iajs-4064	132	27	of	of	ADP
iajs-4064	132	28	pure	pure	ADJ
iajs-4064	132	29	and	and	CCONJ
iajs-4064	132	30	applied	applied	ADJ
iajs-4064	132	31	sciences	science	NOUN
iajs-4064	132	32	.	.	PUNCT
iajs-4064	133	1	ihjpas	ihjpas	PROPN
iajs-4064	133	2	.	.	PUNCT
iajs-4064	134	1	2025,38(4	2025,38(4	X
iajs-4064	134	2	)	)	PUNCT
iajs-4064	134	3	350	350	NUM
iajs-4064	134	4	conflict	conflict	NOUN
iajs-4064	134	5	of	of	ADP
iajs-4064	134	6	interest	interest	NOUN
iajs-4064	134	7	no	no	DET
iajs-4064	134	8	conflicts	conflict	NOUN
iajs-4064	134	9	of	of	ADP
iajs-4064	134	10	interest	interest	NOUN
iajs-4064	134	11	.	.	PUNCT
iajs-4064	135	1	funding	fund	VERB
iajs-4064	135	2	no	no	DET
iajs-4064	135	3	funding	funding	NOUN
iajs-4064	135	4	for	for	ADP
iajs-4064	135	5	the	the	DET
iajs-4064	135	6	article	article	NOUN
iajs-4064	135	7	references	reference	VERB
iajs-4064	135	8	1	1	NUM
iajs-4064	135	9	.	.	PUNCT
iajs-4064	135	10	mahdi	mahdi	PROPN
iajs-4064	135	11	g	g	PROPN
iajs-4064	135	12	,	,	PUNCT
iajs-4064	135	13	mohammed	mohammed	PROPN
iajs-4064	135	14	sf	sf	PROPN
iajs-4064	135	15	,	,	PUNCT
iajs-4064	135	16	khan	khan	PROPN
iajs-4064	135	17	mkh	mkh	PROPN
iajs-4064	135	18	.	.	PUNCT
iajs-4064	136	1	enhanced	enhance	VERB
iajs-4064	136	2	support	support	NOUN
iajs-4064	136	3	vector	vector	NOUN
iajs-4064	136	4	machine	machine	NOUN
iajs-4064	136	5	methods	method	NOUN
iajs-4064	136	6	using	use	VERB
iajs-4064	136	7	stochastic	stochastic	ADJ
iajs-4064	136	8	gradient	gradient	ADJ
iajs-4064	136	9	descent	descent	NOUN
iajs-4064	136	10	and	and	CCONJ
iajs-4064	136	11	its	its	PRON
iajs-4064	136	12	application	application	NOUN
iajs-4064	136	13	to	to	ADP
iajs-4064	136	14	heart	heart	NOUN
iajs-4064	136	15	disease	disease	NOUN
iajs-4064	136	16	dataset	dataset	VERB
iajs-4064	136	17	.	.	PUNCT
iajs-4064	137	1	ibn	ibn	PROPN
iajs-4064	137	2	al	al	PROPN
iajs-4064	137	3	-	-	PUNCT
iajs-4064	137	4	haitham	haitham	PROPN
iajs-4064	137	5	j	j	PROPN
iajs-4064	137	6	pure	pure	PROPN
iajs-4064	137	7	appl	appl	PROPN
iajs-4064	137	8	sci	sci	PROPN
iajs-4064	137	9	.	.	PUNCT
iajs-4064	138	1	2024;37(1):412	2024;37(1):412	NUM
iajs-4064	138	2	-	-	PUNCT
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iajs-4064	138	4	.	.	PUNCT
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iajs-4064	139	4	.	.	X
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iajs-4064	142	2	.	.	PUNCT
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iajs-4064	143	2	.	.	PUNCT
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iajs-4064	143	17	,	,	PUNCT
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iajs-4064	144	17	.	.	PUNCT
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iajs-4064	145	3	j.	j.	PROPN
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iajs-4064	145	5	-	-	PUNCT
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iajs-4064	145	7	.	.	PUNCT
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iajs-4064	146	2	.	.	PUNCT
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iajs-4064	147	2	.	.	X
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iajs-4064	147	11	.	.	PUNCT
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iajs-4064	148	5	pareto	pareto	ADJ
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iajs-4064	148	11	.	.	PUNCT
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iajs-4064	149	5	suppl):1108	suppl):1108	NOUN
iajs-4064	149	6	.	.	PUNCT
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iajs-4064	150	2	.	.	PROPN
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iajs-4064	151	2	.	.	X
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iajs-4064	151	5	.	.	PUNCT
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iajs-4064	152	7	rayleigh	rayleigh	NOUN
iajs-4064	152	8	distribution	distribution	NOUN
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iajs-4064	153	8	.	.	PUNCT
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iajs-4064	154	2	.	.	PUNCT
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iajs-4064	155	2	.	.	X
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iajs-4064	155	5	,	,	PUNCT
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iajs-4064	155	8	.	.	PUNCT
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iajs-4064	156	12	.	.	PUNCT
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iajs-4064	157	7	.	.	PUNCT
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iajs-4064	158	2	.	.	PUNCT
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iajs-4064	159	2	.	.	PUNCT
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iajs-4064	160	2	.	.	X
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iajs-4064	160	5	,	,	PUNCT
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iajs-4064	160	8	.	.	PUNCT
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iajs-4064	161	8	of	of	ADP
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iajs-4064	161	13	.	.	PUNCT
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iajs-4064	162	6	-	-	SYM
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iajs-4064	162	8	.	.	PUNCT
iajs-4064	163	1	https://doi.org/10.24996/ijs.2024.65.3.27	https://doi.org/10.24996/ijs.2024.65.3.27	PROPN
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iajs-4064	163	4	.	.	PUNCT
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iajs-4064	165	9	.	.	PUNCT
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iajs-4064	166	6	.	.	PUNCT
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iajs-4064	167	2	-	-	SYM
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iajs-4064	167	4	.	.	NOUN
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iajs-4064	167	6	.	.	X
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iajs-4064	169	4	.	.	X
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iajs-4064	171	4	.	.	PUNCT
iajs-4064	172	1	https://doi.org/10.24996/ijs.2024.65.4.32	https://doi.org/10.24996/ijs.2024.65.4.32	PROPN
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iajs-4064	173	9	.	.	PUNCT
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iajs-4064	175	2	-	-	SYM
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iajs-4064	175	4	.	.	PUNCT
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iajs-4064	177	13	.	.	PUNCT
iajs-4064	178	1	j	j	PROPN
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iajs-4064	179	2	.	.	X
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iajs-4064	180	7	.	.	PUNCT
iajs-4064	181	1	j	j	PROPN
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iajs-4064	182	4	.	.	PUNCT
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iajs-4064	184	17	.	.	PUNCT
iajs-4064	185	1	appl	appl	PROPN
iajs-4064	185	2	math	math	PROPN
iajs-4064	185	3	inf	inf	PROPN
iajs-4064	185	4	sci	sci	PROPN
iajs-4064	185	5	.	.	PUNCT
iajs-4064	186	1	2012;6(2):167	2012;6(2):167	NUM
iajs-4064	186	2	-	-	SYM
iajs-4064	186	3	171	171	NUM
iajs-4064	186	4	.	.	PUNCT
iajs-4064	187	1	15	15	NUM
iajs-4064	187	2	.	.	PUNCT
iajs-4064	188	1	cordeiro	cordeiro	PROPN
iajs-4064	188	2	gm	gm	PROPN
iajs-4064	188	3	,	,	PUNCT
iajs-4064	188	4	ortega	ortega	PROPN
iajs-4064	188	5	em	em	PRON
iajs-4064	188	6	,	,	PUNCT
iajs-4064	188	7	da	da	PROPN
iajs-4064	188	8	cunha	cunha	PROPN
iajs-4064	188	9	dc	dc	PROPN
iajs-4064	188	10	.	.	PUNCT
iajs-4064	189	1	the	the	DET
iajs-4064	189	2	exponentiated	exponentiated	ADJ
iajs-4064	189	3	generalized	generalized	ADJ
iajs-4064	189	4	class	class	NOUN
iajs-4064	189	5	of	of	ADP
iajs-4064	189	6	distributions	distribution	NOUN
iajs-4064	189	7	.	.	PUNCT
iajs-4064	190	1	j	j	PROPN
iajs-4064	190	2	data	data	PROPN
iajs-4064	190	3	sci	sci	PROPN
iajs-4064	190	4	.	.	PUNCT
iajs-4064	190	5	2013;11(1):1	2013;11(1):1	NUM
iajs-4064	190	6	-	-	SYM
iajs-4064	190	7	27	27	NUM
iajs-4064	190	8	.	.	PUNCT
iajs-4064	191	1	16	16	NUM
iajs-4064	191	2	.	.	PUNCT
iajs-4064	192	1	alzaghal	alzaghal	VERB
iajs-4064	192	2	a	a	PRON
iajs-4064	192	3	,	,	PUNCT
iajs-4064	192	4	famoye	famoye	PROPN
iajs-4064	192	5	f	f	X
iajs-4064	192	6	,	,	PUNCT
iajs-4064	192	7	lee	lee	PROPN
iajs-4064	192	8	c.	c.	PROPN
iajs-4064	192	9	exponentiated	exponentiate	VERB
iajs-4064	192	10	tx	tx	PROPN
iajs-4064	192	11	family	family	NOUN
iajs-4064	192	12	of	of	ADP
iajs-4064	192	13	distributions	distribution	NOUN
iajs-4064	192	14	with	with	ADP
iajs-4064	192	15	some	some	DET
iajs-4064	192	16	applications	application	NOUN
iajs-4064	192	17	.	.	PUNCT
iajs-4064	193	1	int	int	NOUN
iajs-4064	193	2	j	j	PROPN
iajs-4064	193	3	stat	stat	PROPN
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iajs-4064	193	5	.	.	PUNCT
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iajs-4064	194	2	.	.	PUNCT
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iajs-4064	195	2	.	.	PROPN
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iajs-4064	195	4	.	.	PUNCT
iajs-4064	196	1	louzada	louzada	PROPN
iajs-4064	196	2	f	f	PROPN
iajs-4064	196	3	,	,	PUNCT
iajs-4064	196	4	marchi	marchi	PROPN
iajs-4064	196	5	v	v	NOUN
iajs-4064	196	6	,	,	PUNCT
iajs-4064	196	7	carpenter	carpenter	PROPN
iajs-4064	196	8	j.	j.	PROPN
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iajs-4064	196	10	complementary	complementary	ADJ
iajs-4064	196	11	exponentiated	exponentiate	VERB
iajs-4064	196	12	exponential	exponential	ADJ
iajs-4064	196	13	geometric	geometric	ADJ
iajs-4064	196	14	lifetime	lifetime	NOUN
iajs-4064	196	15	distribution	distribution	NOUN
iajs-4064	196	16	.	.	PUNCT
iajs-4064	197	1	j	j	PROPN
iajs-4064	197	2	probab	probab	PROPN
iajs-4064	197	3	stat	stat	PROPN
iajs-4064	197	4	.	.	PUNCT
iajs-4064	198	1	2013;2013:502159	2013;2013:502159	NUM
iajs-4064	198	2	.	.	PUNCT
iajs-4064	199	1	https://doi.org/10.1155/2013/502159	https://doi.org/10.1155/2013/502159	PROPN
iajs-4064	199	2	.	.	PUNCT
iajs-4064	200	1	18	18	NUM
iajs-4064	200	2	.	.	PUNCT
iajs-4064	201	1	hussian	hussian	PROPN
iajs-4064	201	2	ma	ma	PROPN
iajs-4064	201	3	.	.	PROPN
iajs-4064	201	4	transmuted	transmute	VERB
iajs-4064	201	5	exponentiated	exponentiated	ADJ
iajs-4064	201	6	gamma	gamma	NOUN
iajs-4064	201	7	distribution	distribution	NOUN
iajs-4064	201	8	:	:	PUNCT
iajs-4064	201	9	a	a	DET
iajs-4064	201	10	generalization	generalization	NOUN
iajs-4064	201	11	of	of	ADP
iajs-4064	201	12	the	the	PRON
iajs-4064	201	13	https://doi.org/10.30526/37.1.3467	https://doi.org/10.30526/37.1.3467	PROPN
iajs-4064	201	14	https://doi.org/10.1088/1742-6596/1897/1/012054	https://doi.org/10.1088/1742-6596/1897/1/012054	PROPN
iajs-4064	201	15	https://doi.org/10.1016/j.aej.2024.04.042	https://doi.org/10.1016/j.aej.2024.04.042	AUX
iajs-4064	201	16	https://doi.org/10.21123/bsj.2023.8169	https://doi.org/10.21123/bsj.2023.8169	VERB
iajs-4064	201	17	https://doi.org/10.54216/ijns.240202	https://doi.org/10.54216/ijns.240202	PROPN
iajs-4064	201	18	https://doi.org/10.24996/ijs.2024.65.3.27	https://doi.org/10.24996/ijs.2024.65.3.27	PROPN
iajs-4064	201	19	https://doi.org/10.21123/bsj.2021.18.1(suppl.).1103	https://doi.org/10.21123/bsj.2021.18.1(suppl.).1103	PROPN
iajs-4064	201	20	https://doi.org/10.24996/ijs.2024.65.4.32	https://doi.org/10.24996/ijs.2024.65.4.32	PROPN
iajs-4064	201	21	https://doi.org/10.5539/ijsp.v2n3p31	https://doi.org/10.5539/ijsp.v2n3p31	PROPN
iajs-4064	202	1	https://doi.org/10.1155/2013/502159	https://doi.org/10.1155/2013/502159	PROPN
iajs-4064	202	2	ihjpas	ihjpas	PROPN
iajs-4064	202	3	.	.	PUNCT
iajs-4064	203	1	2025,38(4	2025,38(4	X
iajs-4064	203	2	)	)	PUNCT
iajs-4064	204	1	351	351	NUM
iajs-4064	204	2	exponentiated	exponentiate	VERB
iajs-4064	204	3	gamma	gamma	NOUN
iajs-4064	204	4	probability	probability	NOUN
iajs-4064	204	5	distribution	distribution	NOUN
iajs-4064	204	6	.	.	PUNCT
iajs-4064	205	1	appl	appl	PROPN
iajs-4064	205	2	math	math	PROPN
iajs-4064	205	3	sci	sci	PROPN
iajs-4064	205	4	.	.	PUNCT
iajs-4064	206	1	2014;8(27):1297	2014;8(27):1297	PROPN
iajs-4064	206	2	-	-	PUNCT
iajs-4064	206	3	1310	1310	NUM
iajs-4064	206	4	.	.	PUNCT
iajs-4064	207	1	https://doi.org/10.12988/ams.2014.42105	https://doi.org/10.12988/ams.2014.42105	ADJ
iajs-4064	207	2	.	.	PUNCT
iajs-4064	208	1	19	19	NUM
iajs-4064	208	2	.	.	X
iajs-4064	209	1	ashour	ashour	PROPN
iajs-4064	209	2	sk	sk	PROPN
iajs-4064	209	3	,	,	PUNCT
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iajs-4064	209	6	.	.	PROPN
iajs-4064	209	7	exponentiated	exponentiated	PROPN
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iajs-4064	209	9	lindley	lindley	NOUN
iajs-4064	209	10	distribution	distribution	NOUN
iajs-4064	209	11	.	.	PUNCT
iajs-4064	210	1	j	j	PROPN
iajs-4064	210	2	adv	adv	PROPN
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iajs-4064	210	4	.	.	PUNCT
iajs-4064	211	1	2015;6(6):895905	2015;6(6):895905	NUM
iajs-4064	211	2	.	.	PUNCT
iajs-4064	212	1	https://doi.org/10.1016/j.jare.2014.08.005	https://doi.org/10.1016/j.jare.2014.08.005	PROPN
iajs-4064	212	2	.	.	PUNCT
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iajs-4064	213	2	.	.	X
iajs-4064	213	3	elgarhy	elgarhy	PROPN
iajs-4064	213	4	m	m	PROPN
iajs-4064	213	5	,	,	PUNCT
iajs-4064	213	6	shakil	shakil	PROPN
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iajs-4064	213	8	,	,	PUNCT
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iajs-4064	213	12	weibull	weibull	PROPN
iajs-4064	213	13	-	-	PUNCT
iajs-4064	213	14	exponential	exponential	ADJ
iajs-4064	213	15	distribution	distribution	NOUN
iajs-4064	213	16	with	with	ADP
iajs-4064	213	17	applications	application	NOUN
iajs-4064	213	18	.	.	PUNCT
iajs-4064	214	1	appl	appl	PROPN
iajs-4064	214	2	appl	appl	PROPN
iajs-4064	214	3	math	math	PROPN
iajs-4064	214	4	.	.	PUNCT
iajs-4064	215	1	2017;12(2):5	2017;12(2):5	NUM
iajs-4064	215	2	.	.	PUNCT
iajs-4064	216	1	21	21	NUM
iajs-4064	216	2	.	.	PUNCT
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iajs-4064	216	5	.	.	PUNCT
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iajs-4064	217	2	x	x	SYM
iajs-4064	217	3	exponentiated	exponentiate	VERB
iajs-4064	217	4	exponential	exponential	ADJ
iajs-4064	217	5	distribution	distribution	NOUN
iajs-4064	217	6	.	.	PUNCT
iajs-4064	218	1	j	j	PROPN
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iajs-4064	218	4	.	.	PUNCT
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iajs-4064	219	2	-	-	SYM
iajs-4064	219	3	88	88	NUM
iajs-4064	219	4	.	.	PUNCT
iajs-4064	220	1	22	22	NUM
iajs-4064	220	2	.	.	PUNCT
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iajs-4064	221	10	.	.	PUNCT
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iajs-4064	222	2	j	j	PROPN
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iajs-4064	222	4	.	.	PUNCT
iajs-4064	223	1	2018;5(3):79	2018;5(3):79	NUM
iajs-4064	223	2	-	-	SYM
iajs-4064	223	3	84	84	NUM
iajs-4064	223	4	.	.	PUNCT
iajs-4064	224	1	https://doi.org/10.18576/sjm/050301	https://doi.org/10.18576/sjm/050301	NOUN
iajs-4064	224	2	.	.	PUNCT
iajs-4064	225	1	23	23	NUM
iajs-4064	225	2	.	.	X
iajs-4064	226	1	elgarhy	elgarhy	ADJ
iajs-4064	226	2	m.	m.	NOUN
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iajs-4064	226	5	exponentiated	exponentiated	ADJ
iajs-4064	226	6	weibull	weibull	PROPN
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iajs-4064	226	8	distribution	distribution	NOUN
iajs-4064	226	9	.	.	PUNCT
iajs-4064	227	1	gazi	gazi	PROPN
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iajs-4064	227	3	j	j	PROPN
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iajs-4064	227	5	.	.	PUNCT
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iajs-4064	228	2	-	-	PROPN
iajs-4064	228	3	1081	1081	NUM
iajs-4064	228	4	.	.	PUNCT
iajs-4064	229	1	https://doi.org/10.35378/gujs.315832	https://doi.org/10.35378/gujs.315832	X
iajs-4064	229	2	.	.	PUNCT
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iajs-4064	230	2	.	.	PUNCT
iajs-4064	231	1	al	al	PROPN
iajs-4064	231	2	-	-	PUNCT
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iajs-4064	231	4	d.	d.	PROPN
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iajs-4064	231	6	exponential	exponential	ADJ
iajs-4064	231	7	weibull	weibull	NOUN
iajs-4064	231	8	distribution	distribution	NOUN
iajs-4064	231	9	:	:	PUNCT
iajs-4064	231	10	mathematical	mathematical	ADJ
iajs-4064	231	11	properties	property	NOUN
iajs-4064	231	12	and	and	CCONJ
iajs-4064	231	13	application	application	NOUN
iajs-4064	231	14	.	.	PUNCT
iajs-4064	232	1	am	be	AUX
iajs-4064	232	2	j	j	PROPN
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iajs-4064	232	5	.	.	PUNCT
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iajs-4064	233	2	-	-	SYM
iajs-4064	233	3	195	195	NUM
iajs-4064	233	4	.	.	PUNCT
iajs-4064	234	1	https://doi.org/10.3844/ajassp.2020.188.195	https://doi.org/10.3844/ajassp.2020.188.195	PROPN
iajs-4064	234	2	.	.	PROPN
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iajs-4064	234	4	.	.	PUNCT
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iajs-4064	234	7	,	,	PUNCT
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iajs-4064	234	9	az	az	PROPN
iajs-4064	234	10	.	.	PUNCT
iajs-4064	235	1	the	the	DET
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iajs-4064	235	4	half	half	ADJ
iajs-4064	235	5	-	-	PUNCT
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iajs-4064	235	7	exponential	exponential	ADJ
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iajs-4064	235	9	:	:	PUNCT
iajs-4064	235	10	estimation	estimation	NOUN
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iajs-4064	235	13	application	application	NOUN
iajs-4064	235	14	to	to	ADP
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iajs-4064	235	16	data	datum	NOUN
iajs-4064	235	17	.	.	PUNCT
iajs-4064	236	1	mathematics	mathematic	NOUN
iajs-4064	236	2	.	.	PUNCT
iajs-4064	237	1	2020;8(10):1684	2020;8(10):1684	NUM
iajs-4064	237	2	.	.	PUNCT
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iajs-4064	238	2	.	.	PUNCT
iajs-4064	239	1	26	26	NUM
iajs-4064	239	2	.	.	PUNCT
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iajs-4064	239	4	n	n	CCONJ
iajs-4064	239	5	,	,	PUNCT
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iajs-4064	240	8	:	:	PUNCT
iajs-4064	240	9	properties	property	NOUN
iajs-4064	240	10	and	and	CCONJ
iajs-4064	240	11	application	application	NOUN
iajs-4064	240	12	.	.	PUNCT
iajs-4064	241	1	res	re	NOUN
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iajs-4064	241	4	.	.	PUNCT
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iajs-4064	242	2	.	.	PUNCT
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iajs-4064	243	2	.	.	PUNCT
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iajs-4064	244	2	.	.	PUNCT
iajs-4064	245	1	dhungana	dhungana	PROPN
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iajs-4064	245	7	odd	odd	ADJ
iajs-4064	245	8	lomax	lomax	PROPN
iajs-4064	245	9	exponential	exponential	ADJ
iajs-4064	245	10	distribution	distribution	NOUN
iajs-4064	245	11	with	with	ADP
iajs-4064	245	12	application	application	NOUN
iajs-4064	245	13	to	to	ADP
iajs-4064	245	14	covid-19	covid-19	PROPN
iajs-4064	245	15	death	death	NOUN
iajs-4064	245	16	cases	case	NOUN
iajs-4064	245	17	of	of	ADP
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iajs-4064	245	19	.	.	PUNCT
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iajs-4064	246	3	.	.	PUNCT
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iajs-4064	247	2	.	.	PUNCT
iajs-4064	248	1	https://doi.org/10.1371/journal.pone.0269450	https://doi.org/10.1371/journal.pone.0269450	NOUN
iajs-4064	248	2	.	.	PUNCT
iajs-4064	249	1	28	28	NUM
iajs-4064	249	2	.	.	PUNCT
iajs-4064	250	1	bhat	bhat	PROPN
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iajs-4064	250	3	,	,	PUNCT
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iajs-4064	250	6	.	.	PUNCT
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iajs-4064	251	3	of	of	ADP
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iajs-4064	251	5	rayleigh	rayleigh	PROPN
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iajs-4064	251	7	:	:	PUNCT
iajs-4064	251	8	properties	property	NOUN
iajs-4064	251	9	and	and	CCONJ
iajs-4064	251	10	applications	application	NOUN
iajs-4064	251	11	.	.	PUNCT
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iajs-4064	252	3	.	.	PUNCT
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iajs-4064	253	2	-	-	PUNCT
iajs-4064	253	3	227	227	NUM
iajs-4064	253	4	.	.	PUNCT
iajs-4064	254	1	29	29	NUM
iajs-4064	254	2	.	.	PUNCT
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iajs-4064	260	4	.	.	PUNCT
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iajs-4064	265	4	.	.	PUNCT
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iajs-4064	266	2	.	.	PUNCT
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iajs-4064	269	7	.	.	PUNCT
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iajs-4064	271	2	.	.	PUNCT
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iajs-4064	272	25	.	.	PUNCT
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iajs-4064	274	4	.	.	PUNCT
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iajs-4064	282	2	.	.	PUNCT
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