id	sid	tid	token	lemma	pos
iajs-2431	1	1	microsoft	microsoft	PROPN
iajs-2431	1	2	word	word	PROPN
iajs-2431	1	3	107	107	NUM
iajs-2431	1	4	-	-	SYM
iajs-2431	1	5	114	114	NUM
iajs-2431	1	6	  	  	SPACE
iajs-2431	1	7	107	107	NUM
iajs-2431	1	8	ibn	ibn	PROPN
iajs-2431	1	9	al	al	PROPN
iajs-2431	1	10	-	-	PUNCT
iajs-2431	1	11	haitham	haitham	PROPN
iajs-2431	1	12	jour	jour	X
iajs-2431	1	13	.	.	PROPN
iajs-2431	2	1	for	for	ADP
iajs-2431	2	2	pure	pure	ADJ
iajs-2431	2	3	&	&	CCONJ
iajs-2431	2	4	appl	appl	PROPN
iajs-2431	2	5	.	.	PUNCT
iajs-2431	3	1	sci	sci	PROPN
iajs-2431	3	2	.	.	PROPN
iajs-2431	4	1	33	33	NUM
iajs-2431	4	2	(	(	PUNCT
iajs-2431	4	3	2	2	NUM
iajs-2431	4	4	)	)	PUNCT
iajs-2431	4	5	2020	2020	NUM
iajs-2431	4	6	      	      	SPACE
iajs-2431	4	7	some	some	DET
iajs-2431	4	8	aspects	aspect	NOUN
iajs-2431	4	9	of	of	ADP
iajs-2431	4	10	weighted	weight	VERB
iajs-2431	4	11	rayleigh	rayleigh	PROPN
iajs-2431	4	12	distribution	distribution	NOUN
iajs-2431	4	13	article	article	NOUN
iajs-2431	4	14	history	history	NOUN
iajs-2431	4	15	:	:	PUNCT
iajs-2431	5	1	received	receive	VERB
iajs-2431	5	2	3	3	NUM
iajs-2431	5	3	june	june	PROPN
iajs-2431	5	4	2019	2019	NUM
iajs-2431	5	5	,	,	PUNCT
iajs-2431	5	6	accepted	accept	VERB
iajs-2431	5	7	15	15	NUM
iajs-2431	5	8	july	july	PROPN
iajs-2431	5	9	2019	2019	NUM
iajs-2431	5	10	,	,	PUNCT
iajs-2431	5	11	published	publish	VERB
iajs-2431	5	12	in	in	ADP
iajs-2431	5	13	april	april	PROPN
iajs-2431	5	14	2020	2020	NUM
iajs-2431	5	15	.	.	PUNCT
iajs-2431	6	1	abstract	abstract	ADJ
iajs-2431	6	2	in	in	ADP
iajs-2431	6	3	this	this	DET
iajs-2431	6	4	paper	paper	NOUN
iajs-2431	6	5	,	,	PUNCT
iajs-2431	6	6	we	we	PRON
iajs-2431	6	7	proposed	propose	VERB
iajs-2431	6	8	a	a	DET
iajs-2431	6	9	new	new	ADJ
iajs-2431	6	10	class	class	NOUN
iajs-2431	6	11	of	of	ADP
iajs-2431	6	12	weighted	weight	VERB
iajs-2431	6	13	rayleigh	rayleigh	NOUN
iajs-2431	6	14	distribution	distribution	NOUN
iajs-2431	6	15	based	base	VERB
iajs-2431	6	16	on	on	ADP
iajs-2431	6	17	two	two	NUM
iajs-2431	6	18	parameters	parameter	NOUN
iajs-2431	6	19	,	,	PUNCT
iajs-2431	6	20	scale	scale	NOUN
iajs-2431	6	21	and	and	CCONJ
iajs-2431	6	22	shape	shape	NOUN
iajs-2431	6	23	parameters	parameter	NOUN
iajs-2431	6	24	which	which	PRON
iajs-2431	6	25	are	be	AUX
iajs-2431	6	26	introduced	introduce	VERB
iajs-2431	6	27	in	in	ADP
iajs-2431	6	28	rayleigh	rayleigh	PROPN
iajs-2431	6	29	distribution	distribution	NOUN
iajs-2431	6	30	.	.	PUNCT
iajs-2431	7	1	the	the	DET
iajs-2431	7	2	main	main	ADJ
iajs-2431	7	3	properties	property	NOUN
iajs-2431	7	4	of	of	ADP
iajs-2431	7	5	this	this	DET
iajs-2431	7	6	class	class	NOUN
iajs-2431	7	7	are	be	AUX
iajs-2431	7	8	investigated	investigate	VERB
iajs-2431	7	9	and	and	CCONJ
iajs-2431	7	10	derived	derive	VERB
iajs-2431	7	11	.	.	PUNCT
iajs-2431	8	1	keywords	keyword	NOUN
iajs-2431	8	2	:	:	PUNCT
iajs-2431	8	3	weighted	weight	VERB
iajs-2431	8	4	rayleigh	rayleigh	ADJ
iajs-2431	8	5	distribution	distribution	NOUN
iajs-2431	8	6	,	,	PUNCT
iajs-2431	8	7	quintile	quintile	NOUN
iajs-2431	8	8	function	function	VERB
iajs-2431	8	9	skew	skew	NOUN
iajs-2431	8	10	-	-	ADJ
iajs-2431	8	11	ness	ness	ADJ
iajs-2431	8	12	,	,	PUNCT
iajs-2431	8	13	and	and	CCONJ
iajs-2431	8	14	kurtosis	kurtosis	NOUN
iajs-2431	8	15	.	.	PUNCT
iajs-2431	9	1	1	1	X
iajs-2431	9	2	.	.	X
iajs-2431	9	3	introduction	introduction	NOUN
iajs-2431	9	4	the	the	DET
iajs-2431	9	5	rayleigh	rayleigh	NOUN
iajs-2431	9	6	distribution	distribution	NOUN
iajs-2431	9	7	is	be	AUX
iajs-2431	9	8	an	an	DET
iajs-2431	9	9	important	important	ADJ
iajs-2431	9	10	distribution	distribution	NOUN
iajs-2431	9	11	as	as	ADP
iajs-2431	9	12	a	a	DET
iajs-2431	9	13	lifetime	lifetime	NOUN
iajs-2431	9	14	sample	sample	NOUN
iajs-2431	9	15	modeling	modeling	NOUN
iajs-2431	9	16	.	.	PUNCT
iajs-2431	10	1	many	many	ADJ
iajs-2431	10	2	researchers	researcher	NOUN
iajs-2431	10	3	developed	develop	VERB
iajs-2431	10	4	various	various	ADJ
iajs-2431	10	5	generalizations	generalization	NOUN
iajs-2431	10	6	of	of	ADP
iajs-2431	10	7	rayleigh	rayleigh	PROPN
iajs-2431	10	8	probability	probability	PROPN
iajs-2431	10	9	density	density	NOUN
iajs-2431	10	10	functions	function	NOUN
iajs-2431	10	11	to	to	PART
iajs-2431	10	12	increase	increase	VERB
iajs-2431	10	13	the	the	DET
iajs-2431	10	14	flexibility	flexibility	NOUN
iajs-2431	10	15	in	in	ADP
iajs-2431	10	16	life	life	NOUN
iajs-2431	10	17	time	time	NOUN
iajs-2431	10	18	sample	sample	NOUN
iajs-2431	10	19	modeling	modeling	NOUN
iajs-2431	10	20	[	[	X
iajs-2431	10	21	1	1	NUM
iajs-2431	10	22	]	]	PUNCT
iajs-2431	10	23	.	.	PUNCT
iajs-2431	11	1	introduced	introduce	VERB
iajs-2431	11	2	a	a	DET
iajs-2431	11	3	new	new	ADJ
iajs-2431	11	4	class	class	NOUN
iajs-2431	11	5	of	of	ADP
iajs-2431	11	6	density	density	NOUN
iajs-2431	11	7	functions	function	NOUN
iajs-2431	11	8	depending	depend	VERB
iajs-2431	11	9	on	on	ADP
iajs-2431	11	10	shape	shape	NOUN
iajs-2431	11	11	parameter	parameter	NOUN
iajs-2431	11	12	in	in	ADP
iajs-2431	11	13	the	the	DET
iajs-2431	11	14	normal	normal	ADJ
iajs-2431	11	15	distribution	distribution	NOUN
iajs-2431	11	16	,	,	PUNCT
iajs-2431	11	17	and	and	CCONJ
iajs-2431	11	18	then	then	ADV
iajs-2431	11	19	called	call	VERB
iajs-2431	11	20	it	it	PRON
iajs-2431	11	21	weighted	weight	VERB
iajs-2431	11	22	normal	normal	ADJ
iajs-2431	11	23	distribution	distribution	NOUN
iajs-2431	11	24	or	or	CCONJ
iajs-2431	11	25	(	(	PUNCT
iajs-2431	11	26	skew	skew	ADJ
iajs-2431	11	27	-	-	ADJ
iajs-2431	11	28	normal	normal	ADJ
iajs-2431	11	29	distribution	distribution	NOUN
iajs-2431	11	30	)	)	PUNCT
iajs-2431	11	31	.	.	PUNCT
iajs-2431	12	1	[	[	X
iajs-2431	12	2	2	2	NUM
iajs-2431	12	3	]	]	PUNCT
iajs-2431	12	4	.	.	PUNCT
iajs-2431	13	1	used	use	VERB
iajs-2431	13	2	the	the	DET
iajs-2431	13	3	idea	idea	NOUN
iajs-2431	13	4	of	of	ADP
iajs-2431	13	5	azzalini	azzalini	PROPN
iajs-2431	13	6	to	to	PART
iajs-2431	13	7	find	find	VERB
iajs-2431	13	8	the	the	DET
iajs-2431	13	9	shape	shape	NOUN
iajs-2431	13	10	parameter	parameter	NOUN
iajs-2431	13	11	to	to	ADP
iajs-2431	13	12	an	an	DET
iajs-2431	13	13	exponential	exponential	ADJ
iajs-2431	13	14	distribution	distribution	NOUN
iajs-2431	13	15	and	and	CCONJ
iajs-2431	13	16	called	call	VERB
iajs-2431	13	17	it	it	PRON
iajs-2431	13	18	weighted	weight	VERB
iajs-2431	13	19	exponential	exponential	ADJ
iajs-2431	13	20	distribution	distribution	NOUN
iajs-2431	13	21	,	,	PUNCT
iajs-2431	13	22	as	as	ADV
iajs-2431	13	23	well	well	ADV
iajs-2431	13	24	as	as	ADP
iajs-2431	13	25	put	put	VERB
iajs-2431	13	26	the	the	DET
iajs-2431	13	27	general	general	ADJ
iajs-2431	13	28	mathematical	mathematical	ADJ
iajs-2431	13	29	formula	formula	NOUN
iajs-2431	13	30	to	to	PART
iajs-2431	13	31	treat	treat	VERB
iajs-2431	13	32	the	the	DET
iajs-2431	13	33	weighted	weight	VERB
iajs-2431	13	34	statistical	statistical	ADJ
iajs-2431	13	35	distributions	distribution	NOUN
iajs-2431	13	36	which	which	PRON
iajs-2431	13	37	are	be	AUX
iajs-2431	13	38	as	as	ADV
iajs-2431	13	39	follow	follow	VERB
iajs-2431	13	40	:	:	PUNCT
iajs-2431	13	41	𝑓	𝑓	DET
iajs-2431	13	42	𝑋	𝑋	PROPN
iajs-2431	13	43	1	1	NUM
iajs-2431	13	44	𝑃𝑟	𝑃𝑟	PROPN
iajs-2431	13	45	𝑥	𝑥	PROPN
iajs-2431	13	46	𝜃𝑥	𝜃𝑥	ADP
iajs-2431	13	47	𝑓	𝑓	PRON
iajs-2431	13	48	𝑥	𝑥	PRON
iajs-2431	13	49	𝐹	𝐹	PROPN
iajs-2431	13	50	𝜃	𝜃	NUM
iajs-2431	13	51	𝑥	𝑥	X
iajs-2431	13	52	(	(	PUNCT
iajs-2431	13	53	1	1	NUM
iajs-2431	13	54	)	)	PUNCT
iajs-2431	13	55	where	where	SCONJ
iajs-2431	13	56	𝑓	𝑓	DET
iajs-2431	13	57	𝑋	𝑋	PROPN
iajs-2431	13	58	is	be	AUX
iajs-2431	13	59	weighted	weight	VERB
iajs-2431	13	60	probability	probability	NOUN
iajs-2431	13	61	density	density	NOUN
iajs-2431	13	62	function	function	NOUN
iajs-2431	13	63	.	.	PUNCT
iajs-2431	14	1	𝑓	𝑓	DET
iajs-2431	14	2	𝑥	𝑥	PRON
iajs-2431	14	3	isstandard	isstandard	ADJ
iajs-2431	14	4	probability	probability	NOUN
iajs-2431	14	5	density	density	NOUN
iajs-2431	14	6	function	function	NOUN
iajs-2431	14	7	for	for	ADP
iajs-2431	14	8	𝑟.	𝑟.	NOUN
iajs-2431	14	9	𝑣	𝑣	ADP
iajs-2431	14	10	𝑥	𝑥	X
iajs-2431	14	11	.	.	PUNCT
iajs-2431	15	1	𝑓	𝑓	PRON
iajs-2431	15	2	𝜃𝑥	𝜃𝑥	ADP
iajs-2431	15	3	iscumulative	iscumulative	ADJ
iajs-2431	15	4	distribution	distribution	NOUN
iajs-2431	15	5	function	function	NOUN
iajs-2431	15	6	with	with	ADP
iajs-2431	15	7	respect	respect	NOUN
iajs-2431	15	8	to	to	ADP
iajs-2431	15	9	weighted	weight	VERB
iajs-2431	15	10	parameter	parameter	PROPN
iajs-2431	15	11	𝜃	𝜃	PROPN
iajs-2431	15	12	for	for	ADP
iajs-2431	15	13	standard	standard	ADJ
iajs-2431	15	14	distribution	distribution	NOUN
iajs-2431	15	15	.	.	PUNCT
iajs-2431	16	1	𝑃	𝑃	VERB
iajs-2431	16	2	𝑥	𝑥	NOUN
iajs-2431	16	3	𝜃𝑥	𝜃𝑥	ADP
iajs-2431	16	4	probability	probability	NOUN
iajs-2431	16	5	for	for	ADP
iajs-2431	16	6	𝑟.	𝑟.	NOUN
iajs-2431	16	7	𝑣	𝑣	ADP
iajs-2431	16	8	𝑥	𝑥	NOUN
iajs-2431	16	9	with	with	ADP
iajs-2431	16	10	respect	respect	NOUN
iajs-2431	16	11	to	to	ADP
iajs-2431	16	12	the	the	DET
iajs-2431	16	13	𝑟.	𝑟.	NOUN
iajs-2431	16	14	𝑣	𝑣	ADP
iajs-2431	16	15	𝑥	𝑥	PROPN
iajs-2431	16	16	and	and	CCONJ
iajs-2431	16	17	weighted	weight	VERB
iajs-2431	16	18	function	function	PROPN
iajs-2431	16	19	𝜃	𝜃	X
iajs-2431	16	20	.	.	PUNCT
iajs-2431	17	1	[	[	X
iajs-2431	17	2	3	3	NUM
iajs-2431	17	3	]	]	PUNCT
iajs-2431	17	4	.	.	PUNCT
iajs-2431	18	1	study	study	NOUN
iajs-2431	18	2	weighed	weigh	VERB
iajs-2431	18	3	weibull	weibull	NOUN
iajs-2431	18	4	distribution	distribution	NOUN
iajs-2431	18	5	by	by	ADP
iajs-2431	18	6	using	use	VERB
iajs-2431	18	7	the	the	DET
iajs-2431	18	8	idea	idea	NOUN
iajs-2431	18	9	of	of	ADP
iajs-2431	18	10	azzalini	azzalini	PROPN
iajs-2431	18	11	,	,	PUNCT
iajs-2431	18	12	and	and	CCONJ
iajs-2431	18	13	introduce	introduce	VERB
iajs-2431	18	14	the	the	DET
iajs-2431	18	15	basic	basic	ADJ
iajs-2431	18	16	properties	property	NOUN
iajs-2431	18	17	for	for	ADP
iajs-2431	18	18	this	this	DET
iajs-2431	18	19	model	model	NOUN
iajs-2431	18	20	.	.	PUNCT
iajs-2431	19	1	[	[	X
iajs-2431	19	2	4	4	NUM
iajs-2431	19	3	]	]	PUNCT
iajs-2431	19	4	.	.	PUNCT
iajs-2431	20	1	study	study	VERB
iajs-2431	20	2	the	the	DET
iajs-2431	20	3	skew	skew	NOUN
iajs-2431	20	4	-	-	ADJ
iajs-2431	20	5	ness	ness	ADJ
iajs-2431	20	6	parameter	parameter	NOUN
iajs-2431	20	7	of	of	ADP
iajs-2431	20	8	a	a	DET
iajs-2431	20	9	gamma	gamma	NOUN
iajs-2431	20	10	distribution	distribution	NOUN
iajs-2431	20	11	by	by	ADP
iajs-2431	20	12	employing	employ	VERB
iajs-2431	20	13	the	the	DET
iajs-2431	20	14	idea	idea	NOUN
iajs-2431	20	15	of	of	ADP
iajs-2431	20	16	azzalini	azzalini	PROPN
iajs-2431	20	17	,	,	PUNCT
iajs-2431	20	18	which	which	PRON
iajs-2431	20	19	creates	create	VERB
iajs-2431	20	20	a	a	DET
iajs-2431	20	21	new	new	ADJ
iajs-2431	20	22	class	class	NOUN
iajs-2431	20	23	of	of	ADP
iajs-2431	20	24	weighed	weigh	VERB
iajs-2431	20	25	gamma	gamma	NOUN
iajs-2431	20	26	distribution	distribution	NOUN
iajs-2431	20	27	.	.	PUNCT
iajs-2431	21	1	[	[	X
iajs-2431	21	2	5	5	NUM
iajs-2431	21	3	]	]	PUNCT
iajs-2431	21	4	.	.	PUNCT
iajs-2431	22	1	propose	propose	VERB
iajs-2431	22	2	the	the	DET
iajs-2431	22	3	extension	extension	NOUN
iajs-2431	22	4	of	of	ADP
iajs-2431	22	5	weibull	weibull	NOUN
iajs-2431	22	6	distribution	distribution	NOUN
iajs-2431	22	7	weighted	weight	VERB
iajs-2431	22	8	and	and	CCONJ
iajs-2431	22	9	(	(	PUNCT
iajs-2431	22	10	the	the	DET
iajs-2431	22	11	main	main	ADJ
iajs-2431	22	12	derived	derive	VERB
iajs-2431	22	13	)	)	PUNCT
iajs-2431	22	14	main	main	ADJ
iajs-2431	22	15	ibn	ibn	PROPN
iajs-2431	22	16	al	al	PROPN
iajs-2431	22	17	haitham	haitham	PROPN
iajs-2431	22	18	journal	journal	PROPN
iajs-2431	22	19	for	for	ADP
iajs-2431	22	20	pure	pure	ADJ
iajs-2431	22	21	and	and	CCONJ
iajs-2431	22	22	applied	apply	VERB
iajs-2431	22	23	science	science	NOUN
iajs-2431	22	24	journal	journal	PROPN
iajs-2431	22	25	homepage	homepage	NOUN
iajs-2431	22	26	:	:	PUNCT
iajs-2431	22	27	http://jih.uobaghdad.edu.iq/index.php/j/index	http://jih.uobaghdad.edu.iq/index.php/j/index	NOUN
iajs-2431	22	28	doi	doi	NOUN
iajs-2431	22	29	:	:	PUNCT
iajs-2431	22	30	10.30526/33.2.2431	10.30526/33.2.2431	PROPN
iajs-2431	22	31	iden	iden	PROPN
iajs-2431	22	32	hassan	hassan	PROPN
iajs-2431	22	33	hussein	hussein	PROPN
iajs-2431	22	34	department	department	PROPN
iajs-2431	22	35	of	of	ADP
iajs-2431	22	36	mathematics	mathematics	PROPN
iajs-2431	22	37	,	,	PUNCT
iajs-2431	22	38	college	college	NOUN
iajs-2431	22	39	of	of	ADP
iajs-2431	22	40	science	science	NOUN
iajs-2431	22	41	for	for	ADP
iajs-2431	22	42	women	woman	NOUN
iajs-2431	22	43	,	,	PUNCT
iajs-2431	22	44	university	university	NOUN
iajs-2431	22	45	of	of	ADP
iajs-2431	22	46	baghdad	baghdad	PROPN
iajs-2431	22	47	,	,	PUNCT
iajs-2431	22	48	baghdad	baghdad	PROPN
iajs-2431	22	49	,	,	PUNCT
iajs-2431	22	50	iraq	iraq	PROPN
iajs-2431	22	51	  	  	SPACE
iajs-2431	22	52	iden_alkanani@yahoo.com	iden_alkanani@yahoo.com	NOUN
iajs-2431	22	53	ssadadnan.2019@gmail.com	ssadadnan.2019@gmail.com	PROPN
iajs-2431	22	54	department	department	PROPN
iajs-2431	22	55	of	of	ADP
iajs-2431	22	56	mathematics	mathematics	PROPN
iajs-2431	22	57	,	,	PUNCT
iajs-2431	22	58	college	college	NOUN
iajs-2431	22	59	of	of	ADP
iajs-2431	22	60	education	education	NOUN
iajs-2431	22	61	for	for	ADP
iajs-2431	22	62	pure	pure	ADJ
iajs-2431	22	63	science	science	NOUN
iajs-2431	22	64	,	,	PUNCT
iajs-2431	22	65	ibn	ibn	PROPN
iajs-2431	22	66	al	al	PROPN
iajs-2431	22	67	haitham	haitham	PROPN
iajs-2431	22	68	,	,	PUNCT
iajs-2431	22	69	university	university	PROPN
iajs-2431	22	70	of	of	ADP
iajs-2431	22	71	baghdad	baghdad	PROPN
iajs-2431	22	72	,	,	PUNCT
iajs-2431	22	73	baghdad	baghdad	PROPN
iajs-2431	22	74	,	,	PUNCT
iajs-2431	22	75	iraq	iraq	PROPN
iajs-2431	22	76	.	.	PUNCT
iajs-2431	23	1	saad	saad	PROPN
iajs-2431	23	2	a.	a.	PROPN
iajs-2431	23	3	zain	zain	PROPN
iajs-2431	23	4	    	    	SPACE
iajs-2431	23	5	108	108	NUM
iajs-2431	23	6	ibn	ibn	PROPN
iajs-2431	23	7	al	al	PROPN
iajs-2431	23	8	-	-	PUNCT
iajs-2431	23	9	haitham	haitham	PROPN
iajs-2431	23	10	jour	jour	X
iajs-2431	23	11	.	.	PROPN
iajs-2431	24	1	for	for	ADP
iajs-2431	24	2	pure	pure	ADJ
iajs-2431	24	3	&	&	CCONJ
iajs-2431	24	4	appl	appl	PROPN
iajs-2431	24	5	.	.	PUNCT
iajs-2431	25	1	sci	sci	PROPN
iajs-2431	25	2	.	.	PROPN
iajs-2431	26	1	33	33	NUM
iajs-2431	26	2	(	(	PUNCT
iajs-2431	26	3	2	2	NUM
iajs-2431	26	4	)	)	PUNCT
iajs-2431	26	5	2020	2020	NUM
iajs-2431	26	6	properties	property	NOUN
iajs-2431	26	7	of	of	ADP
iajs-2431	26	8	this	this	DET
iajs-2431	26	9	class	class	NOUN
iajs-2431	26	10	are	be	AUX
iajs-2431	26	11	derived	derive	VERB
iajs-2431	26	12	[	[	PUNCT
iajs-2431	26	13	6	6	NUM
iajs-2431	26	14	]	]	PUNCT
iajs-2431	26	15	.	.	PUNCT
iajs-2431	27	1	estimate	estimate	PROPN
iajs-2431	27	2	linley	linley	PROPN
iajs-2431	27	3	’s	’s	PART
iajs-2431	27	4	approximation	approximation	NOUN
iajs-2431	27	5	method	method	NOUN
iajs-2431	27	6	for	for	ADP
iajs-2431	27	7	weighted	weight	VERB
iajs-2431	27	8	exponential	exponential	ADJ
iajs-2431	27	9	distribution	distribution	NOUN
iajs-2431	27	10	by	by	ADP
iajs-2431	27	11	using	use	VERB
iajs-2431	27	12	monte	monte	PROPN
iajs-2431	27	13	carlo	carlo	PROPN
iajs-2431	27	14	simulation	simulation	PROPN
iajs-2431	27	15	study	study	PROPN
iajs-2431	27	16	.	.	PUNCT
iajs-2431	28	1	[	[	X
iajs-2431	28	2	7	7	NUM
iajs-2431	28	3	]	]	PUNCT
iajs-2431	28	4	.	.	PUNCT
iajs-2431	29	1	introduce	introduce	VERB
iajs-2431	29	2	two	two	NUM
iajs-2431	29	3	shape	shape	NOUN
iajs-2431	29	4	parameters	parameter	NOUN
iajs-2431	29	5	to	to	ADP
iajs-2431	29	6	the	the	DET
iajs-2431	29	7	existing	exist	VERB
iajs-2431	29	8	weighted	weight	VERB
iajs-2431	29	9	exponential	exponential	ADJ
iajs-2431	29	10	distribution	distribution	NOUN
iajs-2431	29	11	to	to	PART
iajs-2431	29	12	develop	develop	VERB
iajs-2431	29	13	the	the	DET
iajs-2431	29	14	beta	beta	NOUN
iajs-2431	29	15	weighted	weight	VERB
iajs-2431	29	16	exponential	exponential	ADJ
iajs-2431	29	17	distribution	distribution	NOUN
iajs-2431	29	18	using	use	VERB
iajs-2431	29	19	the	the	DET
iajs-2431	29	20	legit	legit	NOUN
iajs-2431	29	21	of	of	ADP
iajs-2431	29	22	beta	beta	NOUN
iajs-2431	29	23	function.[8	function.[8	PRON
iajs-2431	29	24	]	]	PUNCT
iajs-2431	29	25	.	.	PUNCT
iajs-2431	30	1	propose	propose	VERB
iajs-2431	30	2	model	model	NOUN
iajs-2431	30	3	named	name	VERB
iajs-2431	30	4	exponentiated	exponentiated	ADJ
iajs-2431	30	5	weighted	weight	VERB
iajs-2431	30	6	exponential	exponential	ADJ
iajs-2431	30	7	distribution	distribution	NOUN
iajs-2431	30	8	and	and	CCONJ
iajs-2431	30	9	some	some	PRON
iajs-2431	30	10	of	of	ADP
iajs-2431	30	11	the	the	DET
iajs-2431	30	12	basic	basic	ADJ
iajs-2431	30	13	statistical	statistical	ADJ
iajs-2431	30	14	properties	property	NOUN
iajs-2431	30	15	of	of	ADP
iajs-2431	30	16	the	the	DET
iajs-2431	30	17	proposed	propose	VERB
iajs-2431	30	18	model	model	NOUN
iajs-2431	30	19	are	be	AUX
iajs-2431	30	20	studied	study	VERB
iajs-2431	30	21	and	and	CCONJ
iajs-2431	30	22	provided	provide	VERB
iajs-2431	30	23	.	.	PUNCT
iajs-2431	31	1	[	[	X
iajs-2431	31	2	9	9	NUM
iajs-2431	31	3	]	]	PUNCT
iajs-2431	31	4	.	.	PUNCT
iajs-2431	32	1	focus	focus	VERB
iajs-2431	32	2	on	on	ADP
iajs-2431	32	3	bayes	bayes	PROPN
iajs-2431	32	4	estimation	estimation	NOUN
iajs-2431	32	5	of	of	ADP
iajs-2431	32	6	weighed	weigh	VERB
iajs-2431	32	7	exponential	exponential	ADJ
iajs-2431	32	8	distribution	distribution	NOUN
iajs-2431	32	9	with	with	ADP
iajs-2431	32	10	fuzzy	fuzzy	ADJ
iajs-2431	32	11	data	datum	NOUN
iajs-2431	32	12	.	.	PUNCT
iajs-2431	33	1	[	[	X
iajs-2431	33	2	10	10	NUM
iajs-2431	33	3	]	]	PUNCT
iajs-2431	33	4	.	.	PUNCT
iajs-2431	34	1	derive	derive	VERB
iajs-2431	34	2	two	two	NUM
iajs-2431	34	3	parameters	parameter	NOUN
iajs-2431	34	4	inverted	invert	VERB
iajs-2431	34	5	weighted	weight	VERB
iajs-2431	34	6	exponential	exponential	ADJ
iajs-2431	34	7	distribution	distribution	NOUN
iajs-2431	34	8	and	and	CCONJ
iajs-2431	34	9	its	its	PRON
iajs-2431	34	10	various	various	ADJ
iajs-2431	34	11	statistical	statistical	ADJ
iajs-2431	34	12	properties	property	NOUN
iajs-2431	34	13	are	be	AUX
iajs-2431	34	14	established	establish	VERB
iajs-2431	34	15	.	.	PUNCT
iajs-2431	35	1	[	[	X
iajs-2431	35	2	11	11	NUM
iajs-2431	35	3	]	]	PUNCT
iajs-2431	35	4	.	.	PUNCT
iajs-2431	36	1	present	present	VERB
iajs-2431	36	2	a	a	DET
iajs-2431	36	3	new	new	ADJ
iajs-2431	36	4	generalization	generalization	NOUN
iajs-2431	36	5	weighted	weight	VERB
iajs-2431	36	6	weibull	weibull	PROPN
iajs-2431	36	7	distribution.the	distribution.the	DET
iajs-2431	36	8	aim	aim	NOUN
iajs-2431	36	9	of	of	ADP
iajs-2431	36	10	this	this	DET
iajs-2431	36	11	paper	paper	NOUN
iajs-2431	36	12	is	be	AUX
iajs-2431	36	13	to	to	PART
iajs-2431	36	14	propose	propose	VERB
iajs-2431	36	15	a	a	DET
iajs-2431	36	16	new	new	ADJ
iajs-2431	36	17	weighted	weight	VERB
iajs-2431	36	18	rayleigh	rayleigh	NOUN
iajs-2431	36	19	distribution	distribution	NOUN
iajs-2431	36	20	depending	depend	VERB
iajs-2431	36	21	on	on	ADP
iajs-2431	36	22	the	the	DET
iajs-2431	36	23	idea	idea	NOUN
iajs-2431	36	24	of	of	ADP
iajs-2431	36	25	azzalini	azzalini	PROPN
iajs-2431	36	26	and	and	CCONJ
iajs-2431	36	27	apply	apply	VERB
iajs-2431	36	28	the	the	DET
iajs-2431	36	29	general	general	ADJ
iajs-2431	36	30	formula	formula	NOUN
iajs-2431	36	31	of	of	ADP
iajs-2431	36	32	gupta	gupta	PROPN
iajs-2431	36	33	and	and	CCONJ
iajs-2431	36	34	kundu	kundu	NOUN
iajs-2431	36	35	in	in	ADP
iajs-2431	36	36	equation	equation	NOUN
iajs-2431	36	37	(	(	PUNCT
iajs-2431	36	38	1	1	NUM
iajs-2431	36	39	)	)	PUNCT
iajs-2431	36	40	to	to	PART
iajs-2431	36	41	find	find	VERB
iajs-2431	36	42	the	the	DET
iajs-2431	36	43	skew	skew	ADJ
iajs-2431	36	44	ness	ness	ADJ
iajs-2431	36	45	parameter	parameter	NOUN
iajs-2431	36	46	in	in	ADP
iajs-2431	36	47	rayleigh	rayleigh	PROPN
iajs-2431	36	48	density	density	PROPN
iajs-2431	36	49	function	function	NOUN
iajs-2431	36	50	,	,	PUNCT
iajs-2431	36	51	then	then	ADV
iajs-2431	36	52	study	study	VERB
iajs-2431	36	53	some	some	DET
iajs-2431	36	54	basic	basic	ADJ
iajs-2431	36	55	statistical	statistical	ADJ
iajs-2431	36	56	properties	property	NOUN
iajs-2431	36	57	of	of	ADP
iajs-2431	36	58	this	this	DET
iajs-2431	36	59	distribution	distribution	NOUN
iajs-2431	36	60	.	.	PUNCT
iajs-2431	37	1	the	the	DET
iajs-2431	37	2	rest	rest	NOUN
iajs-2431	37	3	of	of	ADP
iajs-2431	37	4	this	this	DET
iajs-2431	37	5	article	article	NOUN
iajs-2431	37	6	is	be	AUX
iajs-2431	37	7	organized	organize	VERB
iajs-2431	37	8	as	as	SCONJ
iajs-2431	37	9	follows	follow	VERB
iajs-2431	37	10	:	:	PUNCT
iajs-2431	37	11	we	we	PRON
iajs-2431	37	12	include	include	VERB
iajs-2431	37	13	in	in	ADP
iajs-2431	37	14	section	section	NOUN
iajs-2431	37	15	two	two	NUM
iajs-2431	37	16	the	the	DET
iajs-2431	37	17	weighted	weight	VERB
iajs-2431	37	18	rayleigh	rayleigh	NOUN
iajs-2431	37	19	distribution	distribution	NOUN
iajs-2431	37	20	with	with	ADP
iajs-2431	37	21	application	application	NOUN
iajs-2431	37	22	,	,	PUNCT
iajs-2431	37	23	cumulative	cumulative	ADJ
iajs-2431	37	24	distribution	distribution	NOUN
iajs-2431	37	25	function	function	NOUN
iajs-2431	37	26	,	,	PUNCT
iajs-2431	37	27	reliability	reliability	NOUN
iajs-2431	37	28	function	function	NOUN
iajs-2431	37	29	and	and	CCONJ
iajs-2431	37	30	hazard	hazard	NOUN
iajs-2431	37	31	function	function	NOUN
iajs-2431	37	32	.	.	PUNCT
iajs-2431	38	1	in	in	ADP
iajs-2431	38	2	section	section	NOUN
iajs-2431	38	3	three	three	NUM
iajs-2431	38	4	,	,	PUNCT
iajs-2431	38	5	the	the	DET
iajs-2431	38	6	moment	moment	NOUN
iajs-2431	38	7	,	,	PUNCT
iajs-2431	38	8	mean	mean	VERB
iajs-2431	38	9	,	,	PUNCT
iajs-2431	38	10	and	and	CCONJ
iajs-2431	38	11	variance	variance	NOUN
iajs-2431	38	12	.	.	PUNCT
iajs-2431	39	1	in	in	ADP
iajs-2431	39	2	section	section	NOUN
iajs-2431	39	3	four	four	NUM
iajs-2431	39	4	,	,	PUNCT
iajs-2431	39	5	the	the	DET
iajs-2431	39	6	moment	moment	NOUN
iajs-2431	39	7	generating	generating	NOUN
iajs-2431	39	8	functions	function	NOUN
iajs-2431	39	9	.	.	PUNCT
iajs-2431	40	1	in	in	ADP
iajs-2431	40	2	section	section	NOUN
iajs-2431	40	3	five	five	NUM
iajs-2431	40	4	,	,	PUNCT
iajs-2431	40	5	the	the	DET
iajs-2431	40	6	factorial	factorial	ADJ
iajs-2431	40	7	moment	moment	NOUN
iajs-2431	40	8	generating	generate	VERB
iajs-2431	40	9	function	function	NOUN
iajs-2431	40	10	,	,	PUNCT
iajs-2431	40	11	skew	skew	ADJ
iajs-2431	40	12	ness	ness	ADJ
iajs-2431	40	13	kurtosis	kurtosis	NOUN
iajs-2431	40	14	,	,	PUNCT
iajs-2431	40	15	and	and	CCONJ
iajs-2431	40	16	characteristic	characteristic	ADJ
iajs-2431	40	17	-	-	PUNCT
iajs-2431	40	18	function	function	NOUN
iajs-2431	40	19	and	and	CCONJ
iajs-2431	40	20	in	in	ADP
iajs-2431	40	21	section	section	NOUN
iajs-2431	40	22	six	six	NUM
iajs-2431	40	23	,	,	PUNCT
iajs-2431	40	24	the	the	DET
iajs-2431	40	25	quintile	quintile	NOUN
iajs-2431	40	26	function	function	NOUN
iajs-2431	40	27	,	,	PUNCT
iajs-2431	40	28	mode	mode	NOUN
iajs-2431	40	29	and	and	CCONJ
iajs-2431	40	30	median	median	ADJ
iajs-2431	40	31	.	.	PUNCT
iajs-2431	41	1	2	2	X
iajs-2431	41	2	.	.	NUM
iajs-2431	41	3	weighted	weight	VERB
iajs-2431	41	4	rayleigh	rayleigh	ADJ
iajs-2431	41	5	distribution	distribution	NOUN
iajs-2431	41	6	in	in	ADP
iajs-2431	41	7	this	this	DET
iajs-2431	41	8	section	section	NOUN
iajs-2431	41	9	,	,	PUNCT
iajs-2431	41	10	we	we	PRON
iajs-2431	41	11	introduce	introduce	VERB
iajs-2431	41	12	of	of	ADP
iajs-2431	41	13	the	the	DET
iajs-2431	41	14	probability	probability	NOUN
iajs-2431	41	15	density	density	NOUN
iajs-2431	41	16	function	function	NOUN
iajs-2431	41	17	and	and	CCONJ
iajs-2431	41	18	the	the	DET
iajs-2431	41	19	cumulative	cumulative	ADJ
iajs-2431	41	20	distribution	distribution	NOUN
iajs-2431	41	21	function	function	NOUN
iajs-2431	41	22	of	of	ADP
iajs-2431	41	23	weighted	weight	VERB
iajs-2431	41	24	rayleigh	rayleigh	NOUN
iajs-2431	41	25	distribution	distribution	NOUN
iajs-2431	41	26	(	(	PUNCT
iajs-2431	41	27	wrd	wrd	PROPN
iajs-2431	41	28	)	)	PUNCT
iajs-2431	41	29	.	.	PUNCT
iajs-2431	42	1	lemma	lemma	PROPN
iajs-2431	42	2	(	(	PUNCT
iajs-2431	42	3	1	1	X
iajs-2431	42	4	)	)	PUNCT
iajs-2431	42	5	suppose	suppose	VERB
iajs-2431	42	6	that	that	SCONJ
iajs-2431	42	7	𝑥	𝑥	PROPN
iajs-2431	42	8	and	and	CCONJ
iajs-2431	42	9	𝑥	𝑥	PROPN
iajs-2431	42	10	are	be	AUX
iajs-2431	42	11	random	random	ADJ
iajs-2431	42	12	sample	sample	NOUN
iajs-2431	42	13	of	of	ADP
iajs-2431	42	14	size	size	NOUN
iajs-2431	42	15	two	two	NUM
iajs-2431	42	16	of	of	ADP
iajs-2431	42	17	rayleigh	rayleigh	ADJ
iajs-2431	42	18	distribution	distribution	NOUN
iajs-2431	42	19	with	with	ADP
iajs-2431	42	20	parameter	parameter	PROPN
iajs-2431	42	21	𝜃	𝜃	PROPN
iajs-2431	42	22	,	,	PUNCT
iajs-2431	42	23	then	then	ADV
iajs-2431	42	24	the	the	DET
iajs-2431	42	25	𝑝𝑟	𝑝𝑟	PROPN
iajs-2431	42	26	𝛼𝑥	𝛼𝑥	ADV
iajs-2431	42	27	𝑥	𝑥	INTJ
iajs-2431	42	28	where	where	SCONJ
iajs-2431	42	29	is	be	AUX
iajs-2431	42	30	weighted	weight	VERB
iajs-2431	42	31	rayleigh	rayleigh	ADJ
iajs-2431	42	32	distribution	distribution	NOUN
iajs-2431	42	33	.	.	PUNCT
iajs-2431	43	1	proof	proof	NOUN
iajs-2431	43	2	:	:	PUNCT
iajs-2431	44	1	𝑝𝑟	𝑝𝑟	X
iajs-2431	44	2	𝛼𝑥	𝛼𝑥	ADV
iajs-2431	44	3	𝑥	𝑥	X
iajs-2431	44	4	𝑝𝑟	𝑝𝑟	INTJ
iajs-2431	44	5	𝑥	𝑥	INTJ
iajs-2431	44	6	𝛼𝑥	𝛼𝑥	ADV
iajs-2431	44	7	𝑝𝑟	𝑝𝑟	INTJ
iajs-2431	44	8	𝑥	𝑥	INTJ
iajs-2431	44	9	𝛼𝑥	𝛼𝑥	ADV
iajs-2431	44	10	𝑓	𝑓	DET
iajs-2431	44	11	𝑥	𝑥	X
iajs-2431	44	12	,	,	PUNCT
iajs-2431	44	13	𝑥	𝑥	PROPN
iajs-2431	44	14	𝑑𝑥	𝑑𝑥	VERB
iajs-2431	44	15	𝑑𝑥	𝑑𝑥	ADP
iajs-2431	44	16	𝑝𝑟	𝑝𝑟	PROPN
iajs-2431	44	17	𝑥	𝑥	NOUN
iajs-2431	44	18	𝛼𝑥	𝛼𝑥	ADV
iajs-2431	44	19	𝜃𝑥	𝜃𝑥	ADP
iajs-2431	44	20	𝑒	𝑒	PROPN
iajs-2431	44	21	°	°	PROPN
iajs-2431	44	22	°	°	NUM
iajs-2431	44	23	𝜃𝑥	𝜃𝑥	ADP
iajs-2431	44	24	𝑒	𝑒	NOUN
iajs-2431	44	25	𝑑𝑥	𝑑𝑥	VERB
iajs-2431	44	26	𝑑𝑥	𝑑𝑥	VERB
iajs-2431	44	27	𝑝𝑟	𝑝𝑟	PROPN
iajs-2431	44	28	𝑥	𝑥	NOUN
iajs-2431	44	29	𝛼𝑥	𝛼𝑥	ADV
iajs-2431	44	30	𝜃𝑥	𝜃𝑥	ADP
iajs-2431	44	31	𝑒	𝑒	NOUN
iajs-2431	44	32	°	°	NUM
iajs-2431	44	33	𝜃𝑥	𝜃𝑥	ADP
iajs-2431	44	34	𝑒	𝑒	PROPN
iajs-2431	44	35	𝑑𝑥	𝑑𝑥	VERB
iajs-2431	44	36	°	°	NOUN
iajs-2431	44	37	𝑑𝑥	𝑑𝑥	VERB
iajs-2431	44	38	𝑝𝑟	𝑝𝑟	PROPN
iajs-2431	44	39	𝑥	𝑥	NOUN
iajs-2431	44	40	𝛼𝑥	𝛼𝑥	ADV
iajs-2431	44	41	𝜃𝑥	𝜃𝑥	ADP
iajs-2431	44	42	𝑒	𝑒	PROPN
iajs-2431	44	43	°	°	NUM
iajs-2431	44	44	𝑒	𝑒	PROPN
iajs-2431	44	45	°	°	PROPN
iajs-2431	44	46	𝑑𝑥	𝑑𝑥	VERB
iajs-2431	44	47	𝑝𝑟	𝑝𝑟	PROPN
iajs-2431	44	48	𝑥	𝑥	PRON
iajs-2431	44	49	𝛼	𝛼	PART
iajs-2431	44	50	𝑥	𝑥	X
iajs-2431	44	51	𝜃𝑥	𝜃𝑥	ADP
iajs-2431	44	52	𝑒	𝑒	PROPN
iajs-2431	44	53	°	°	ADP
iajs-2431	44	54	1	1	NUM
iajs-2431	44	55	𝑒	𝑒	NOUN
iajs-2431	44	56	𝑑𝑥	𝑑𝑥	VERB
iajs-2431	44	57	𝑝𝑟	𝑝𝑟	PROPN
iajs-2431	44	58	𝑥	𝑥	PRON
iajs-2431	44	59	𝛼	𝛼	PART
iajs-2431	44	60	𝑥	𝑥	X
iajs-2431	44	61	𝜃𝑥	𝜃𝑥	ADP
iajs-2431	44	62	𝑒	𝑒	PROPN
iajs-2431	44	63	𝑑𝑥	𝑑𝑥	VERB
iajs-2431	44	64	°	°	NUM
iajs-2431	44	65	𝜃𝑥	𝜃𝑥	ADP
iajs-2431	44	66	𝑒	𝑒	PROPN
iajs-2431	44	67	𝑑𝑥	𝑑𝑥	VERB
iajs-2431	44	68	°	°	NOUN
iajs-2431	44	69	  	  	SPACE
iajs-2431	44	70	109	109	NUM
iajs-2431	44	71	ibn	ibn	PROPN
iajs-2431	44	72	al	al	PROPN
iajs-2431	44	73	-	-	PUNCT
iajs-2431	44	74	haitham	haitham	PROPN
iajs-2431	44	75	jour	jour	X
iajs-2431	44	76	.	.	PROPN
iajs-2431	45	1	for	for	ADP
iajs-2431	45	2	pure	pure	ADJ
iajs-2431	45	3	&	&	CCONJ
iajs-2431	45	4	appl	appl	PROPN
iajs-2431	45	5	.	.	PUNCT
iajs-2431	46	1	sci	sci	PROPN
iajs-2431	46	2	.	.	PROPN
iajs-2431	47	1	33	33	NUM
iajs-2431	47	2	(	(	PUNCT
iajs-2431	47	3	2	2	NUM
iajs-2431	47	4	)	)	PUNCT
iajs-2431	47	5	2020	2020	NUM
iajs-2431	48	1	𝑝𝑟	𝑝𝑟	X
iajs-2431	48	2	𝑥	𝑥	DET
iajs-2431	48	3	𝛼	𝛼	NOUN
iajs-2431	48	4	𝑥	𝑥	NOUN
iajs-2431	48	5	1	1	NUM
iajs-2431	48	6	1	1	NUM
iajs-2431	48	7	𝛼	𝛼	SYM
iajs-2431	48	8	1	1	NUM
iajs-2431	48	9	𝜃𝑥	𝜃𝑥	ADP
iajs-2431	48	10	𝛼	𝛼	PROPN
iajs-2431	48	11	1	1	NUM
iajs-2431	48	12	𝑒	𝑒	NOUN
iajs-2431	48	13	𝑑𝑥	𝑑𝑥	VERB
iajs-2431	48	14	°	°	NOUN
iajs-2431	49	1	𝑝𝑟	𝑝𝑟	X
iajs-2431	49	2	𝑥	𝑥	PRON
iajs-2431	49	3	𝛼	𝛼	NOUN
iajs-2431	49	4	𝑥	𝑥	NOUN
iajs-2431	49	5	1	1	NUM
iajs-2431	49	6	1	1	NUM
iajs-2431	49	7	𝛼	𝛼	SYM
iajs-2431	49	8	1	1	NUM
iajs-2431	49	9	𝛼	𝛼	NOUN
iajs-2431	49	10	𝛼	𝛼	NOUN
iajs-2431	49	11	1	1	NUM
iajs-2431	49	12	1	1	NUM
iajs-2431	49	13	𝑝𝑟	𝑝𝑟	PART
iajs-2431	49	14	𝑥	𝑥	NOUN
iajs-2431	49	15	𝛼𝑥	𝛼𝑥	ADV
iajs-2431	49	16	1	1	NUM
iajs-2431	49	17	𝛼	𝛼	NOUN
iajs-2431	49	18	𝛼	𝛼	PROPN
iajs-2431	49	19	1	1	NUM
iajs-2431	49	20	𝛼	𝛼	PROPN
iajs-2431	49	21	1	1	NUM
iajs-2431	49	22	𝛼	𝛼	NOUN
iajs-2431	49	23	then	then	ADV
iajs-2431	49	24	the	the	DET
iajs-2431	49	25	proposed	propose	VERB
iajs-2431	49	26	new	new	ADJ
iajs-2431	49	27	weighted	weight	VERB
iajs-2431	49	28	rayleigh	rayleigh	NOUN
iajs-2431	49	29	distribution	distribution	NOUN
iajs-2431	49	30	is	be	AUX
iajs-2431	49	31	defined	define	VERB
iajs-2431	49	32	as	as	SCONJ
iajs-2431	49	33	follows	follow	VERB
iajs-2431	49	34	:	:	PUNCT
iajs-2431	49	35	𝑓	𝑓	PRON
iajs-2431	49	36	𝑥	𝑥	NOUN
iajs-2431	49	37	;	;	PUNCT
iajs-2431	49	38	𝛼	𝛼	X
iajs-2431	49	39	,	,	PUNCT
iajs-2431	49	40	𝜃	𝜃	NOUN
iajs-2431	49	41	𝛼	𝛼	SYM
iajs-2431	49	42	1	1	NUM
iajs-2431	49	43	𝛼	𝛼	PUNCT
iajs-2431	49	44	𝜃𝑥	𝜃𝑥	ADP
iajs-2431	49	45	𝑒	𝑒	PROPN
iajs-2431	49	46	1	1	NUM
iajs-2431	49	47	𝑒	𝑒	PROPN
iajs-2431	49	48	2	2	NUM
iajs-2431	49	49	now	now	ADV
iajs-2431	49	50	,	,	PUNCT
iajs-2431	49	51	proving	prove	VERB
iajs-2431	49	52	that	that	SCONJ
iajs-2431	49	53	the	the	DET
iajs-2431	49	54	weighted	weight	VERB
iajs-2431	49	55	rayleigh	rayleigh	NOUN
iajs-2431	49	56	distribution	distribution	NOUN
iajs-2431	49	57	is	be	AUX
iajs-2431	49	58	probability	probability	NOUN
iajs-2431	49	59	density	density	NOUN
iajs-2431	49	60	function	function	NOUN
iajs-2431	49	61	as	as	SCONJ
iajs-2431	49	62	follows	follow	VERB
iajs-2431	49	63	:	:	PUNCT
iajs-2431	49	64	𝜃	𝜃	NUM
iajs-2431	49	65	𝑥𝑒	𝑥𝑒	NOUN
iajs-2431	49	66	°	°	ADV
iajs-2431	49	67	1	1	NUM
iajs-2431	49	68	𝑒	𝑒	NOUN
iajs-2431	49	69	𝑑𝑥	𝑑𝑥	NOUN
iajs-2431	49	70	1	1	NUM
iajs-2431	49	71	𝛼	𝛼	NUM
iajs-2431	49	72	1	1	NUM
iajs-2431	49	73	𝛼	𝛼	NOUN
iajs-2431	49	74	𝜃𝑥𝑒	𝜃𝑥𝑒	NOUN
iajs-2431	49	75	°	°	ADP
iajs-2431	49	76	𝑑𝑥	𝑑𝑥	VERB
iajs-2431	49	77	𝜃𝑥𝑒	𝜃𝑥𝑒	NOUN
iajs-2431	49	78	°	°	PRON
iajs-2431	49	79	𝑑𝑥	𝑑𝑥	VERB
iajs-2431	49	80	𝛼	𝛼	PROPN
iajs-2431	50	1	1	1	NUM
iajs-2431	50	2	𝛼	𝛼	SYM
iajs-2431	50	3	1	1	NUM
iajs-2431	50	4	1	1	NUM
iajs-2431	50	5	𝛼	𝛼	SYM
iajs-2431	50	6	1	1	NUM
iajs-2431	50	7	𝛼	𝛼	SYM
iajs-2431	50	8	1	1	NUM
iajs-2431	50	9	𝛼	𝛼	NOUN
iajs-2431	50	10	∗	∗	NOUN
iajs-2431	50	11	𝛼	𝛼	NOUN
iajs-2431	50	12	𝛼	𝛼	PROPN
iajs-2431	50	13	1	1	NUM
iajs-2431	50	14	1	1	NUM
iajs-2431	50	15	lemma	lemma	X
iajs-2431	50	16	(	(	PUNCT
iajs-2431	50	17	2	2	NUM
iajs-2431	50	18	)	)	PUNCT
iajs-2431	50	19	the	the	DET
iajs-2431	50	20	cumulative	cumulative	ADJ
iajs-2431	50	21	distribution	distribution	NOUN
iajs-2431	50	22	function	function	NOUN
iajs-2431	50	23	of	of	ADP
iajs-2431	50	24	weighted	weight	VERB
iajs-2431	50	25	rayleigh	rayleigh	NOUN
iajs-2431	50	26	distribution	distribution	NOUN
iajs-2431	50	27	is	be	AUX
iajs-2431	50	28	as	as	SCONJ
iajs-2431	50	29	follows	follow	VERB
iajs-2431	50	30	:	:	PUNCT
iajs-2431	50	31	proof	proof	NOUN
iajs-2431	50	32	:	:	PUNCT
iajs-2431	50	33	𝐹	𝐹	PROPN
iajs-2431	51	1	𝑥	𝑥	NOUN
iajs-2431	51	2	;	;	PUNCT
iajs-2431	51	3	𝛼	𝛼	X
iajs-2431	51	4	,	,	PUNCT
iajs-2431	51	5	𝜃	𝜃	X
iajs-2431	51	6	𝑃𝑟	𝑃𝑟	ADP
iajs-2431	51	7	𝑋	𝑋	PROPN
iajs-2431	51	8	𝑥	𝑥	X
iajs-2431	51	9	𝑓	𝑓	PRON
iajs-2431	51	10	𝑢	𝑢	X
iajs-2431	51	11	𝑑𝑢	𝑑𝑢	PROPN
iajs-2431	51	12	°	°	NOUN
iajs-2431	51	13	𝐹	𝐹	PROPN
iajs-2431	52	1	𝑥	𝑥	NOUN
iajs-2431	52	2	;	;	PUNCT
iajs-2431	52	3	𝛼	𝛼	X
iajs-2431	52	4	,	,	PUNCT
iajs-2431	52	5	𝜃	𝜃	PRON
iajs-2431	52	6	𝜃	𝜃	NOUN
iajs-2431	52	7	𝑢𝑒	𝑢𝑒	ADP
iajs-2431	52	8	1	1	NUM
iajs-2431	52	9	𝑒	𝑒	PROPN
iajs-2431	52	10	𝑑𝑢	𝑑𝑢	PROPN
iajs-2431	52	11	𝐹	𝐹	PROPN
iajs-2431	53	1	𝑥	𝑥	NOUN
iajs-2431	53	2	;	;	PUNCT
iajs-2431	53	3	𝛼	𝛼	X
iajs-2431	53	4	,	,	PUNCT
iajs-2431	53	5	𝜃	𝜃	NOUN
iajs-2431	53	6	𝛼	𝛼	SYM
iajs-2431	53	7	1	1	NUM
iajs-2431	53	8	𝛼	𝛼	SYM
iajs-2431	53	9	𝛼	𝛼	PROPN
iajs-2431	53	10	1	1	NUM
iajs-2431	53	11	𝛼	𝛼	SYM
iajs-2431	53	12	1	1	NUM
iajs-2431	53	13	𝑒	𝑒	PROPN
iajs-2431	53	14	𝑒	𝑒	PROPN
iajs-2431	53	15	1	1	NUM
iajs-2431	53	16	𝛼	𝛼	SYM
iajs-2431	53	17	1	1	NUM
iajs-2431	53	18	𝐹	𝐹	PROPN
iajs-2431	53	19	𝑥	𝑥	NOUN
iajs-2431	53	20	;	;	PUNCT
iajs-2431	53	21	𝛼	𝛼	X
iajs-2431	53	22	,	,	PUNCT
iajs-2431	53	23	𝜃	𝜃	NOUN
iajs-2431	53	24	𝛼	𝛼	SYM
iajs-2431	53	25	1	1	NUM
iajs-2431	53	26	𝛼	𝛼	SYM
iajs-2431	53	27	𝛼	𝛼	PROPN
iajs-2431	53	28	1	1	NUM
iajs-2431	53	29	𝑒	𝑒	PROPN
iajs-2431	53	30	𝛼	𝛼	PROPN
iajs-2431	53	31	𝑒	𝑒	PROPN
iajs-2431	53	32	𝛼	𝛼	PROPN
iajs-2431	53	33	1	1	NUM
iajs-2431	53	34	𝛼	𝛼	NOUN
iajs-2431	53	35	𝐹	𝐹	PROPN
iajs-2431	53	36	𝑥	𝑥	NOUN
iajs-2431	53	37	;	;	PUNCT
iajs-2431	53	38	𝛼	𝛼	X
iajs-2431	53	39	,	,	PUNCT
iajs-2431	53	40	𝜃	𝜃	PRON
iajs-2431	53	41	1	1	NUM
iajs-2431	53	42	(	(	PUNCT
iajs-2431	53	43	3	3	NUM
iajs-2431	53	44	)	)	PUNCT
iajs-2431	53	45	the	the	DET
iajs-2431	53	46	reliability	reliability	NOUN
iajs-2431	53	47	and	and	CCONJ
iajs-2431	53	48	hazard	hazard	NOUN
iajs-2431	53	49	functions	function	NOUN
iajs-2431	53	50	are	be	AUX
iajs-2431	53	51	as	as	SCONJ
iajs-2431	53	52	follows	follow	VERB
iajs-2431	53	53	:	:	PUNCT
iajs-2431	54	1	𝑅	𝑅	NOUN
iajs-2431	54	2	𝑥	𝑥	PROPN
iajs-2431	54	3	1	1	NUM
iajs-2431	54	4	𝐹	𝐹	NOUN
iajs-2431	54	5	𝑥	𝑥	PROPN
iajs-2431	54	6	𝑅	𝑅	PROPN
iajs-2431	54	7	𝑥	𝑥	PROPN
iajs-2431	54	8	𝛼	𝛼	PROPN
iajs-2431	54	9	1	1	NUM
iajs-2431	54	10	𝑒	𝑒	PROPN
iajs-2431	54	11	𝑒	𝑒	PROPN
iajs-2431	54	12	𝛼	𝛼	X
iajs-2431	54	13	4	4	NUM
iajs-2431	54	14	ℎ	ℎ	PART
iajs-2431	54	15	𝑥	𝑥	PRON
iajs-2431	54	16	𝑓	𝑓	PRON
iajs-2431	54	17	𝑥	𝑥	X
iajs-2431	54	18	𝑅	𝑅	PROPN
iajs-2431	54	19	𝑥	𝑥	PROPN
iajs-2431	54	20	  	  	SPACE
iajs-2431	54	21	110	110	NUM
iajs-2431	54	22	ibn	ibn	PROPN
iajs-2431	54	23	al	al	PROPN
iajs-2431	54	24	-	-	PUNCT
iajs-2431	54	25	haitham	haitham	PROPN
iajs-2431	54	26	jour	jour	X
iajs-2431	54	27	.	.	PROPN
iajs-2431	54	28	for	for	ADP
iajs-2431	54	29	pure	pure	ADJ
iajs-2431	54	30	&	&	CCONJ
iajs-2431	54	31	appl	appl	PROPN
iajs-2431	54	32	.	.	PUNCT
iajs-2431	55	1	sci	sci	PROPN
iajs-2431	55	2	.	.	PROPN
iajs-2431	56	1	33	33	NUM
iajs-2431	56	2	(	(	PUNCT
iajs-2431	56	3	2	2	NUM
iajs-2431	56	4	)	)	PUNCT
iajs-2431	56	5	2020	2020	NUM
iajs-2431	57	1	ℎ	ℎ	X
iajs-2431	58	1	𝑥	𝑥	DET
iajs-2431	58	2	𝜃𝑥	𝜃𝑥	PART
iajs-2431	58	3	𝛼	𝛼	SYM
iajs-2431	58	4	1	1	NUM
iajs-2431	58	5	1	1	NUM
iajs-2431	58	6	𝑒	𝑒	PROPN
iajs-2431	58	7	𝛼	𝛼	PROPN
iajs-2431	58	8	1	1	NUM
iajs-2431	58	9	𝑒	𝑒	PROPN
iajs-2431	58	10	ө	ө	NOUN
iajs-2431	58	11	5	5	NUM
iajs-2431	58	12	3	3	NUM
iajs-2431	58	13	.	.	PUNCT
iajs-2431	58	14	moment	moment	NOUN
iajs-2431	58	15	method	method	NOUN
iajs-2431	58	16	now	now	ADV
iajs-2431	58	17	,	,	PUNCT
iajs-2431	58	18	we	we	PRON
iajs-2431	58	19	derived	derive	VERB
iajs-2431	58	20	the	the	DET
iajs-2431	58	21	moment	moment	NOUN
iajs-2431	58	22	a	a	DET
iajs-2431	58	23	bout	bout	NOUN
iajs-2431	58	24	zero	zero	NUM
iajs-2431	58	25	,	,	PUNCT
iajs-2431	58	26	then	then	ADV
iajs-2431	58	27	we	we	PRON
iajs-2431	58	28	find	find	VERB
iajs-2431	58	29	the	the	DET
iajs-2431	58	30	mean	mean	NOUN
iajs-2431	58	31	and	and	CCONJ
iajs-2431	58	32	the	the	DET
iajs-2431	58	33	variance	variance	NOUN
iajs-2431	58	34	of	of	ADP
iajs-2431	58	35	the	the	DET
iajs-2431	58	36	weighted	weight	VERB
iajs-2431	58	37	rayleigh	rayleigh	NOUN
iajs-2431	58	38	distribution	distribution	NOUN
iajs-2431	58	39	which	which	PRON
iajs-2431	58	40	is	be	AUX
iajs-2431	58	41	as	as	SCONJ
iajs-2431	58	42	follows	follow	VERB
iajs-2431	58	43	:	:	PUNCT
iajs-2431	58	44	𝐸	𝐸	PROPN
iajs-2431	58	45	𝑋	𝑋	NOUN
iajs-2431	58	46	𝑥	𝑥	PROPN
iajs-2431	58	47	𝛼	𝛼	SYM
iajs-2431	58	48	1	1	NUM
iajs-2431	58	49	𝛼	𝛼	PUNCT
iajs-2431	58	50	𝜃𝑥	𝜃𝑥	ADP
iajs-2431	58	51	𝑒	𝑒	PROPN
iajs-2431	58	52	1	1	NUM
iajs-2431	58	53	𝑒	𝑒	NOUN
iajs-2431	58	54	𝑑𝑥	𝑑𝑥	VERB
iajs-2431	58	55	𝐸	𝐸	ADJ
iajs-2431	58	56	𝑋	𝑋	NOUN
iajs-2431	58	57	𝛼	𝛼	PROPN
iajs-2431	58	58	1	1	NUM
iajs-2431	58	59	𝛼	𝛼	PART
iajs-2431	58	60	𝑥	𝑥	NOUN
iajs-2431	58	61	𝜃𝑒	𝜃𝑒	NOUN
iajs-2431	58	62	𝑑𝑥	𝑑𝑥	NOUN
iajs-2431	58	63	𝑥	𝑥	NOUN
iajs-2431	58	64	𝜃𝑒	𝜃𝑒	NOUN
iajs-2431	58	65	𝑑𝑥	𝑑𝑥	VERB
iajs-2431	58	66	𝑙𝑒𝑡	𝑙𝑒𝑡	PROPN
iajs-2431	58	67	𝑦	𝑦	PROPN
iajs-2431	58	68	𝑥	𝑥	PROPN
iajs-2431	58	69	,	,	PUNCT
iajs-2431	58	70	𝑥	𝑥	PROPN
iajs-2431	58	71	𝑦	𝑦	NOUN
iajs-2431	58	72	,	,	PUNCT
iajs-2431	58	73	𝑑𝑥	𝑑𝑥	NOUN
iajs-2431	58	74	√	√	PROPN
iajs-2431	58	75	𝑑𝑦	𝑑𝑦	VERB
iajs-2431	58	76	𝑙𝑡	𝑙𝑡	VERB
iajs-2431	58	77	𝑢	𝑢	X
iajs-2431	58	78	𝑥	𝑥	X
iajs-2431	58	79	𝛼	𝛼	NUM
iajs-2431	58	80	1	1	NUM
iajs-2431	58	81	,	,	PUNCT
iajs-2431	58	82	𝑥	𝑥	PRON
iajs-2431	58	83	𝑢	𝑢	NOUN
iajs-2431	58	84	,	,	PUNCT
iajs-2431	58	85	𝑑𝑥	𝑑𝑥	NOUN
iajs-2431	58	86	√	√	PROPN
iajs-2431	58	87	𝑑𝑢	𝑑𝑢	ADP
iajs-2431	58	88	𝐸	𝐸	ADV
iajs-2431	58	89	𝑥	𝑥	NOUN
iajs-2431	58	90	𝛼	𝛼	NOUN
iajs-2431	58	91	1	1	NUM
iajs-2431	58	92	𝛼	𝛼	SYM
iajs-2431	58	93	2	2	NUM
iajs-2431	58	94	𝜃	𝜃	NOUN
iajs-2431	58	95	𝑦	𝑦	NUM
iajs-2431	58	96	θ	θ	NOUN
iajs-2431	58	97	𝑒	𝑒	ADP
iajs-2431	58	98	2	2	NUM
iajs-2431	58	99	𝜃	𝜃	SYM
iajs-2431	58	100	1	1	NUM
iajs-2431	58	101	2	2	NUM
iajs-2431	58	102	𝑦	𝑦	NOUN
iajs-2431	58	103	𝑑𝑦	𝑑𝑦	ADP
iajs-2431	58	104	2	2	NUM
iajs-2431	58	105	𝜃	𝜃	NOUN
iajs-2431	58	106	𝛼	𝛼	SYM
iajs-2431	58	107	1	1	NUM
iajs-2431	58	108	𝑢	𝑢	PROPN
iajs-2431	58	109	θ	θ	PROPN
iajs-2431	58	110	𝑒	𝑒	ADP
iajs-2431	58	111	2	2	NUM
iajs-2431	58	112	𝜃	𝜃	SYM
iajs-2431	58	113	𝛼	𝛼	NOUN
iajs-2431	58	114	1	1	NUM
iajs-2431	58	115	1	1	NUM
iajs-2431	58	116	2	2	NUM
iajs-2431	58	117	√𝑢	√𝑢	NOUN
iajs-2431	58	118	𝑑𝑢	𝑑𝑢	INTJ
iajs-2431	58	119	𝐸	𝐸	PROPN
iajs-2431	58	120	𝑋	𝑋	NOUN
iajs-2431	58	121	𝛼	𝛼	PROPN
iajs-2431	58	122	1	1	NUM
iajs-2431	58	123	𝛼	𝛼	SYM
iajs-2431	58	124	2	2	NUM
iajs-2431	58	125	𝜃	𝜃	SYM
iajs-2431	58	126	𝑦	𝑦	NUM
iajs-2431	58	127	2	2	NUM
iajs-2431	58	128	𝜃	𝜃	SYM
iajs-2431	58	129	𝑦	𝑦	NUM
iajs-2431	58	130	θ	θ	X
iajs-2431	58	131	𝑒	𝑒	ADP
iajs-2431	58	132	2	2	NUM
iajs-2431	58	133	𝜃	𝜃	SYM
iajs-2431	58	134	1	1	NUM
iajs-2431	58	135	2	2	NUM
iajs-2431	58	136	𝑦	𝑦	NOUN
iajs-2431	58	137	𝑑𝑦	𝑑𝑦	ADP
iajs-2431	58	138	2	2	NUM
iajs-2431	58	139	𝜃	𝜃	NOUN
iajs-2431	58	140	𝛼	𝛼	SYM
iajs-2431	58	141	1	1	NUM
iajs-2431	58	142	2	2	NUM
iajs-2431	58	143	𝜃	𝜃	SYM
iajs-2431	58	144	𝛼	𝛼	SYM
iajs-2431	58	145	1	1	NUM
iajs-2431	58	146	𝑢	𝑢	NOUN
iajs-2431	58	147	𝑢	𝑢	PROPN
iajs-2431	58	148	θ	θ	PROPN
iajs-2431	58	149	𝑒	𝑒	ADP
iajs-2431	58	150	2	2	NUM
iajs-2431	58	151	𝜃	𝜃	SYM
iajs-2431	58	152	𝛼	𝛼	NOUN
iajs-2431	58	153	1	1	NUM
iajs-2431	58	154	1	1	NUM
iajs-2431	58	155	2	2	NUM
iajs-2431	58	156	𝑢	𝑢	NOUN
iajs-2431	58	157	𝑑𝑢	𝑑𝑢	ADP
iajs-2431	58	158	𝐸	𝐸	NOUN
iajs-2431	58	159	𝑋	𝑋	NOUN
iajs-2431	58	160	𝛼	𝛼	PROPN
iajs-2431	58	161	1	1	NUM
iajs-2431	58	162	𝛼	𝛼	SYM
iajs-2431	58	163	2	2	NUM
iajs-2431	58	164	𝜃	𝜃	SYM
iajs-2431	58	165	2	2	NUM
iajs-2431	58	166	𝜃	𝜃	NOUN
iajs-2431	58	167	𝑦	𝑦	NUM
iajs-2431	58	168	θ	θ	NOUN
iajs-2431	58	169	𝑒	𝑒	PROPN
iajs-2431	58	170	1	1	NUM
iajs-2431	58	171	2	2	NUM
iajs-2431	58	172	𝑑𝑦	𝑑𝑦	ADP
iajs-2431	58	173	2	2	NUM
iajs-2431	58	174	𝜃	𝜃	NOUN
iajs-2431	58	175	𝛼	𝛼	SYM
iajs-2431	58	176	1	1	NUM
iajs-2431	58	177	2	2	NUM
iajs-2431	58	178	𝛳	𝛳	NOUN
iajs-2431	58	179	𝛼	𝛼	VERB
iajs-2431	58	180	1	1	NUM
iajs-2431	58	181	𝑢	𝑢	ADP
iajs-2431	58	182	θ	θ	PROPN
iajs-2431	58	183	𝑒	𝑒	ADP
iajs-2431	58	184	1	1	NUM
iajs-2431	58	185	2	2	NUM
iajs-2431	58	186	𝑑𝑢	𝑑𝑢	NOUN
iajs-2431	58	187	𝐸	𝐸	PROPN
iajs-2431	58	188	𝑋	𝑋	NOUN
iajs-2431	58	189	𝛼	𝛼	PROPN
iajs-2431	58	190	1	1	NUM
iajs-2431	58	191	𝛼	𝛼	SYM
iajs-2431	58	192	2	2	NUM
iajs-2431	58	193	𝜃	𝜃	NUM
iajs-2431	58	194	𝛤	𝛤	NOUN
iajs-2431	58	195	𝑟	𝑟	NOUN
iajs-2431	58	196	2	2	NUM
iajs-2431	58	197	1	1	NUM
iajs-2431	58	198	2	2	NUM
iajs-2431	58	199	ө	ө	NOUN
iajs-2431	58	200	1	1	NUM
iajs-2431	58	201	𝛼	𝛼	SYM
iajs-2431	58	202	1	1	NUM
iajs-2431	58	203	𝛤	𝛤	PROPN
iajs-2431	58	204	𝑟	𝑟	NOUN
iajs-2431	58	205	2	2	NUM
iajs-2431	58	206	1	1	NUM
iajs-2431	58	207	𝐸	𝐸	PROPN
iajs-2431	58	208	𝑋	𝑋	NOUN
iajs-2431	58	209	𝛼	𝛼	PROPN
iajs-2431	58	210	1	1	NUM
iajs-2431	58	211	𝛼	𝛼	SYM
iajs-2431	58	212	2	2	NUM
iajs-2431	58	213	𝜃	𝜃	NUM
iajs-2431	58	214	𝛤	𝛤	NOUN
iajs-2431	58	215	𝑟	𝑟	NOUN
iajs-2431	58	216	2	2	NUM
iajs-2431	58	217	1	1	NUM
iajs-2431	58	218	1	1	NUM
iajs-2431	58	219	1	1	NUM
iajs-2431	58	220	𝛼	𝛼	SYM
iajs-2431	58	221	1	1	NUM
iajs-2431	58	222	6	6	NUM
iajs-2431	58	223	when	when	SCONJ
iajs-2431	58	224	𝑟	𝑟	X
iajs-2431	58	225	1	1	NUM
iajs-2431	58	226	,	,	PUNCT
iajs-2431	58	227	𝑡ℎ𝑒𝑛	𝑡ℎ𝑒𝑛	VERB
iajs-2431	58	228	𝐸	𝐸	PROPN
iajs-2431	58	229	𝑋	𝑋	PROPN
iajs-2431	58	230	𝛼	𝛼	PROPN
iajs-2431	58	231	1	1	NUM
iajs-2431	58	232	𝛼	𝛼	SYM
iajs-2431	58	233	2	2	NUM
iajs-2431	58	234	𝜃	𝜃	SYM
iajs-2431	58	235	γ	γ	X
iajs-2431	58	236	3	3	NUM
iajs-2431	58	237	2	2	NUM
iajs-2431	58	238	1	1	NUM
iajs-2431	58	239	1	1	NUM
iajs-2431	58	240	𝛼	𝛼	SYM
iajs-2431	58	241	1	1	NUM
iajs-2431	58	242	  	  	SPACE
iajs-2431	58	243	111	111	NUM
iajs-2431	58	244	ibn	ibn	PROPN
iajs-2431	58	245	al	al	PROPN
iajs-2431	58	246	-	-	PUNCT
iajs-2431	58	247	haitham	haitham	PROPN
iajs-2431	58	248	jour	jour	X
iajs-2431	58	249	.	.	PROPN
iajs-2431	59	1	for	for	ADP
iajs-2431	59	2	pure	pure	ADJ
iajs-2431	59	3	&	&	CCONJ
iajs-2431	59	4	appl	appl	PROPN
iajs-2431	59	5	.	.	PUNCT
iajs-2431	60	1	sci	sci	PROPN
iajs-2431	60	2	.	.	PROPN
iajs-2431	61	1	33	33	NUM
iajs-2431	61	2	(	(	PUNCT
iajs-2431	61	3	2	2	NUM
iajs-2431	61	4	)	)	PUNCT
iajs-2431	61	5	2020	2020	NUM
iajs-2431	61	6	e(x	e(x	NUM
iajs-2431	61	7	)	)	PUNCT
iajs-2431	61	8	√𝜋	√𝜋	X
iajs-2431	61	9	1	1	NUM
iajs-2431	61	10	e(x	e(x	NUM
iajs-2431	61	11	)	)	PUNCT
iajs-2431	61	12	1	1	NUM
iajs-2431	61	13	7	7	NUM
iajs-2431	61	14	𝑤ℎ𝑒𝑛	𝑤ℎ𝑒𝑛	VERB
iajs-2431	61	15	𝑟	𝑟	PRON
iajs-2431	61	16	2	2	NUM
iajs-2431	61	17	,	,	PUNCT
iajs-2431	61	18	then	then	ADV
iajs-2431	61	19	𝐸	𝐸	PROPN
iajs-2431	61	20	𝑋	𝑋	NOUN
iajs-2431	61	21	𝛼	𝛼	PROPN
iajs-2431	61	22	1	1	NUM
iajs-2431	61	23	𝛼	𝛼	SYM
iajs-2431	61	24	2	2	NUM
iajs-2431	61	25	𝜃	𝜃	SYM
iajs-2431	61	26	𝛤	𝛤	PROPN
iajs-2431	61	27	2	2	NUM
iajs-2431	61	28	1	1	NUM
iajs-2431	61	29	1	1	NUM
iajs-2431	61	30	𝛼	𝛼	SYM
iajs-2431	61	31	1	1	NUM
iajs-2431	61	32	𝐸	𝐸	NOUN
iajs-2431	61	33	𝑋	𝑋	NOUN
iajs-2431	61	34	2	2	NUM
iajs-2431	61	35	𝛼	𝛼	SYM
iajs-2431	61	36	2	2	NUM
iajs-2431	61	37	𝜃	𝜃	SYM
iajs-2431	61	38	𝛼	𝛼	SYM
iajs-2431	61	39	1	1	NUM
iajs-2431	61	40	8	8	NUM
iajs-2431	61	41	the	the	DET
iajs-2431	61	42	variance	variance	NOUN
iajs-2431	61	43	:	:	PUNCT
iajs-2431	61	44	𝑣𝑎𝑟	𝑣𝑎𝑟	NOUN
iajs-2431	61	45	𝑋	𝑋	PROPN
iajs-2431	61	46	𝐸	𝐸	PROPN
iajs-2431	61	47	𝑋	𝑋	NOUN
iajs-2431	61	48	𝐸	𝐸	NOUN
iajs-2431	61	49	𝑋	𝑋	NOUN
iajs-2431	61	50	𝑣𝑎𝑟	𝑣𝑎𝑟	NOUN
iajs-2431	61	51	𝑋	𝑋	NOUN
iajs-2431	61	52	2	2	NUM
iajs-2431	61	53	𝛼	𝛼	SYM
iajs-2431	61	54	2	2	NUM
iajs-2431	61	55	𝜃	𝜃	SYM
iajs-2431	61	56	𝛼	𝛼	PROPN
iajs-2431	61	57	1	1	NUM
iajs-2431	61	58	𝛼	𝛼	SYM
iajs-2431	61	59	1	1	NUM
iajs-2431	61	60	∝	∝	NOUN
iajs-2431	61	61	𝜋	𝜋	VERB
iajs-2431	61	62	2𝜃	2𝜃	NUM
iajs-2431	61	63	1	1	NUM
iajs-2431	61	64	1	1	NUM
iajs-2431	61	65	𝛼	𝛼	SYM
iajs-2431	61	66	1	1	NUM
iajs-2431	61	67	𝑣𝑎𝑟	𝑣𝑎𝑟	NOUN
iajs-2431	61	68	𝑋	𝑋	NOUN
iajs-2431	61	69	(	(	PUNCT
iajs-2431	61	70	9	9	NUM
iajs-2431	61	71	)	)	SYM
iajs-2431	61	72	4	4	NUM
iajs-2431	61	73	-	-	NUM
iajs-2431	61	74	the	the	DET
iajs-2431	61	75	moment	moment	NOUN
iajs-2431	61	76	generated	generate	VERB
iajs-2431	61	77	function	function	NOUN
iajs-2431	61	78	we	we	PRON
iajs-2431	61	79	derived	derive	VERB
iajs-2431	61	80	the	the	DET
iajs-2431	61	81	moment	moment	NOUN
iajs-2431	61	82	generating	generate	VERB
iajs-2431	61	83	function	function	NOUN
iajs-2431	61	84	for	for	ADP
iajs-2431	61	85	weighted	weight	VERB
iajs-2431	61	86	rayleigh	rayleigh	NOUN
iajs-2431	61	87	distribution	distribution	NOUN
iajs-2431	61	88	which	which	PRON
iajs-2431	61	89	is	be	AUX
iajs-2431	61	90	as	as	SCONJ
iajs-2431	61	91	follows	follow	VERB
iajs-2431	61	92	:	:	PUNCT
iajs-2431	61	93	𝑚.	𝑚.	PROPN
iajs-2431	61	94	𝑔.	𝑔.	PROPN
iajs-2431	61	95	𝑓.	𝑓.	PROPN
iajs-2431	61	96	𝐸	𝐸	PROPN
iajs-2431	61	97	𝑒	𝑒	PROPN
iajs-2431	61	98	𝑒	𝑒	PROPN
iajs-2431	61	99	°	°	NUM
iajs-2431	61	100	𝑓	𝑓	PRON
iajs-2431	61	101	𝑥	𝑥	NOUN
iajs-2431	61	102	𝑑𝑥	𝑑𝑥	VERB
iajs-2431	61	103	by	by	ADP
iajs-2431	61	104	using	use	VERB
iajs-2431	61	105	taylor	taylor	PROPN
iajs-2431	61	106	series	series	PROPN
iajs-2431	61	107	:	:	PUNCT
iajs-2431	61	108	𝐸	𝐸	PROPN
iajs-2431	61	109	𝑒	𝑒	PROPN
iajs-2431	61	110	1	1	NUM
iajs-2431	61	111	𝑡𝑥	𝑡𝑥	NOUN
iajs-2431	61	112	1	1	NUM
iajs-2431	61	113	!	!	PUNCT
iajs-2431	61	114	𝑡𝑥	𝑡𝑥	NOUN
iajs-2431	62	1	2	2	NUM
iajs-2431	62	2	!	!	PUNCT
iajs-2431	62	3	𝑡𝑥	𝑡𝑥	PROPN
iajs-2431	62	4	3	3	X
iajs-2431	62	5	!	!	PUNCT
iajs-2431	62	6	⋯	⋯	VERB
iajs-2431	62	7	𝑡𝑥	𝑡𝑥	NOUN
iajs-2431	62	8	𝑟	𝑟	NOUN
iajs-2431	62	9	!	!	PUNCT
iajs-2431	63	1	°	°	NOUN
iajs-2431	64	1	𝑓	𝑓	PRON
iajs-2431	64	2	𝑥	𝑥	INTJ
iajs-2431	64	3	𝑑𝑥	𝑑𝑥	VERB
iajs-2431	64	4	𝑚.	𝑚.	ADJ
iajs-2431	64	5	𝑔.	𝑔.	NOUN
iajs-2431	65	1	𝑓	𝑓	PRON
iajs-2431	65	2	𝑡	𝑡	PROPN
iajs-2431	65	3	𝑟	𝑟	NOUN
iajs-2431	65	4	!	!	PUNCT
iajs-2431	66	1	𝐸	𝐸	NOUN
iajs-2431	66	2	𝑥	𝑥	ADJ
iajs-2431	66	3	𝑚.	𝑚.	NOUN
iajs-2431	66	4	𝑔.	𝑔.	NOUN
iajs-2431	66	5	𝑓	𝑓	DET
iajs-2431	66	6	𝑡	𝑡	PROPN
iajs-2431	66	7	𝑟	𝑟	NOUN
iajs-2431	66	8	!	!	PUNCT
iajs-2431	67	1	𝛼	𝛼	ADP
iajs-2431	67	2	1	1	NUM
iajs-2431	67	3	𝛼	𝛼	SYM
iajs-2431	67	4	2	2	NUM
iajs-2431	67	5	𝛳	𝛳	NOUN
iajs-2431	67	6	γ	γ	NOUN
iajs-2431	67	7	𝑟	𝑟	NOUN
iajs-2431	67	8	2	2	NUM
iajs-2431	67	9	1	1	NUM
iajs-2431	67	10	1	1	NUM
iajs-2431	67	11	1	1	NUM
iajs-2431	67	12	𝛼	𝛼	SYM
iajs-2431	67	13	1	1	NUM
iajs-2431	67	14	𝑚.	𝑚.	NOUN
iajs-2431	67	15	𝑔.	𝑔.	VERB
iajs-2431	68	1	𝑓	𝑓	DET
iajs-2431	68	2	𝛼	𝛼	PROPN
iajs-2431	68	3	1	1	NUM
iajs-2431	68	4	𝛼	𝛼	NUM
iajs-2431	68	5	𝑡	𝑡	NOUN
iajs-2431	68	6	𝑟	𝑟	NOUN
iajs-2431	68	7	!	!	NOUN
iajs-2431	68	8	2	2	NUM
iajs-2431	68	9	𝛳	𝛳	NOUN
iajs-2431	68	10	γ	γ	X
iajs-2431	68	11	𝑟	𝑟	NOUN
iajs-2431	68	12	2	2	NUM
iajs-2431	68	13	1	1	NUM
iajs-2431	68	14	1	1	NUM
iajs-2431	68	15	1	1	NUM
iajs-2431	68	16	𝛼	𝛼	SYM
iajs-2431	68	17	1	1	NUM
iajs-2431	68	18	10	10	NUM
iajs-2431	68	19	5factorial	5factorial	NUM
iajs-2431	68	20	moment	moment	NOUN
iajs-2431	68	21	generating	generate	VERB
iajs-2431	68	22	function	function	NOUN
iajs-2431	68	23	:	:	PUNCT
iajs-2431	68	24	𝑀	𝑀	PROPN
iajs-2431	68	25	𝑡	𝑡	PROPN
iajs-2431	68	26	𝐸	𝐸	PROPN
iajs-2431	68	27	𝑡	𝑡	PROPN
iajs-2431	68	28	𝑡	𝑡	NOUN
iajs-2431	68	29	°	°	NOUN
iajs-2431	68	30	𝑓	𝑓	DET
iajs-2431	68	31	𝑥	𝑥	INTJ
iajs-2431	68	32	𝑑𝑥	𝑑𝑥	NOUN
iajs-2431	68	33	𝑀	𝑀	PROPN
iajs-2431	68	34	𝑡	𝑡	PROPN
iajs-2431	68	35	𝑒ℓ	𝑒ℓ	ADP
iajs-2431	68	36	𝑓	𝑓	PRON
iajs-2431	68	37	𝑥	𝑥	NOUN
iajs-2431	68	38	𝑑𝑥	𝑑𝑥	NOUN
iajs-2431	68	39	°	°	NUM
iajs-2431	68	40	  	  	SPACE
iajs-2431	68	41	112	112	NUM
iajs-2431	68	42	ibn	ibn	PROPN
iajs-2431	68	43	al	al	PROPN
iajs-2431	68	44	-	-	PUNCT
iajs-2431	68	45	haitham	haitham	PROPN
iajs-2431	68	46	jour	jour	X
iajs-2431	68	47	.	.	PROPN
iajs-2431	69	1	for	for	ADP
iajs-2431	69	2	pure	pure	ADJ
iajs-2431	69	3	&	&	CCONJ
iajs-2431	69	4	appl	appl	PROPN
iajs-2431	69	5	.	.	PUNCT
iajs-2431	70	1	sci	sci	PROPN
iajs-2431	70	2	.	.	PROPN
iajs-2431	71	1	33	33	NUM
iajs-2431	71	2	(	(	PUNCT
iajs-2431	71	3	2	2	NUM
iajs-2431	71	4	)	)	PUNCT
iajs-2431	71	5	2020	2020	NUM
iajs-2431	71	6	𝑀	𝑀	PROPN
iajs-2431	71	7	𝑡	𝑡	VERB
iajs-2431	71	8	1	1	NUM
iajs-2431	71	9	𝑥	𝑥	NOUN
iajs-2431	71	10	ℓ𝑛𝑡	ℓ𝑛𝑡	NOUN
iajs-2431	71	11	𝑥	𝑥	ADV
iajs-2431	71	12	ℓ𝑛𝑡	ℓ𝑛𝑡	NOUN
iajs-2431	71	13	2	2	NUM
iajs-2431	71	14	!	!	PUNCT
iajs-2431	71	15	⋯	⋯	VERB
iajs-2431	71	16	𝑥	𝑥	PROPN
iajs-2431	71	17	ℓ𝑛𝑡	ℓ𝑛𝑡	ADJ
iajs-2431	71	18	𝑟	𝑟	NOUN
iajs-2431	71	19	!	!	PUNCT
iajs-2431	71	20	⋯	⋯	VERB
iajs-2431	71	21	.	.	PUNCT
iajs-2431	71	22	.	.	PUNCT
iajs-2431	72	1	…	…	PUNCT
iajs-2431	72	2	°	°	NOUN
iajs-2431	73	1	𝑓	𝑓	PRON
iajs-2431	73	2	𝑥	𝑥	INTJ
iajs-2431	73	3	𝑑𝑥	𝑑𝑥	NOUN
iajs-2431	73	4	𝑀	𝑀	PROPN
iajs-2431	73	5	𝑡	𝑡	PROPN
iajs-2431	73	6	ℓ𝑛𝑡	ℓ𝑛𝑡	PROPN
iajs-2431	73	7	𝑟	𝑟	NOUN
iajs-2431	73	8	!	!	PUNCT
iajs-2431	74	1	𝐸	𝐸	PROPN
iajs-2431	74	2	𝑥	𝑥	PRON
iajs-2431	74	3	𝑀	𝑀	PROPN
iajs-2431	74	4	𝑡	𝑡	NOUN
iajs-2431	74	5	𝛼	𝛼	PROPN
iajs-2431	74	6	1	1	NUM
iajs-2431	74	7	𝛼	𝛼	NOUN
iajs-2431	74	8	ℓ𝑛𝑡	ℓ𝑛𝑡	NOUN
iajs-2431	74	9	𝑟	𝑟	NOUN
iajs-2431	74	10	!	!	NOUN
iajs-2431	74	11	2	2	NUM
iajs-2431	74	12	𝜃	𝜃	NUM
iajs-2431	74	13	𝛤	𝛤	NOUN
iajs-2431	74	14	𝑟	𝑟	NOUN
iajs-2431	74	15	2	2	NUM
iajs-2431	74	16	1	1	NUM
iajs-2431	74	17	1	1	NUM
iajs-2431	74	18	1	1	NUM
iajs-2431	74	19	𝛼	𝛼	SYM
iajs-2431	74	20	1	1	NUM
iajs-2431	74	21	11	11	NUM
iajs-2431	74	22	then	then	ADV
iajs-2431	74	23	the	the	DET
iajs-2431	74	24	coefficient	coefficient	NOUN
iajs-2431	74	25	of	of	ADP
iajs-2431	74	26	skew	skew	ADJ
iajs-2431	74	27	ness	ness	NOUN
iajs-2431	74	28	of	of	ADP
iajs-2431	74	29	this	this	DET
iajs-2431	74	30	distribution	distribution	NOUN
iajs-2431	74	31	is	be	AUX
iajs-2431	74	32	as	as	SCONJ
iajs-2431	74	33	follows	follow	VERB
iajs-2431	74	34	:	:	PUNCT
iajs-2431	74	35	𝐶.	𝐶.	PROPN
iajs-2431	74	36	𝑆	𝑆	PROPN
iajs-2431	74	37	,	,	PUNCT
iajs-2431	74	38	𝑀	𝑀	PROPN
iajs-2431	74	39	𝐸	𝐸	PROPN
iajs-2431	74	40	𝑋	𝑋	PROPN
iajs-2431	74	41	𝐸	𝐸	NOUN
iajs-2431	74	42	𝑋	𝑋	NOUN
iajs-2431	74	43	3	3	NUM
iajs-2431	74	44	,	,	PUNCT
iajs-2431	74	45	𝑀	𝑀	PROPN
iajs-2431	74	46	𝐸	𝐸	PROPN
iajs-2431	74	47	𝑋	𝑋	PROPN
iajs-2431	74	48	𝐸	𝐸	NOUN
iajs-2431	74	49	𝑋	𝑋	PROPN
iajs-2431	74	50	𝐶.	𝐶.	PROPN
iajs-2431	74	51	𝑆=	𝑆=	PROPN
iajs-2431	74	52	,	,	PUNCT
iajs-2431	74	53	,	,	PUNCT
iajs-2431	74	54	=	=	NOUN
iajs-2431	74	55	1	1	NUM
iajs-2431	74	56	(	(	PUNCT
iajs-2431	74	57	12	12	NUM
iajs-2431	74	58	)	)	PUNCT
iajs-2431	74	59	𝐶.	𝐶.	PROPN
iajs-2431	74	60	𝐾	𝐾	PROPN
iajs-2431	74	61	13	13	NUM
iajs-2431	74	62	the	the	DET
iajs-2431	74	63	characteristic	characteristic	ADJ
iajs-2431	74	64	function	function	NOUN
iajs-2431	74	65	of	of	ADP
iajs-2431	74	66	this	this	DET
iajs-2431	74	67	distribution	distribution	NOUN
iajs-2431	74	68	is	be	AUX
iajs-2431	74	69	as	as	ADP
iajs-2431	74	70	follow	follow	VERB
iajs-2431	74	71	:	:	PUNCT
iajs-2431	75	1	𝑄	𝑄	PROPN
iajs-2431	75	2	𝑡	𝑡	VERB
iajs-2431	75	3	𝐸	𝐸	PROPN
iajs-2431	75	4	𝑒	𝑒	X
iajs-2431	75	5	𝑒	𝑒	ADP
iajs-2431	75	6	𝑓	𝑓	PRON
iajs-2431	75	7	𝑥	𝑥	NOUN
iajs-2431	75	8	𝑑𝑥	𝑑𝑥	NOUN
iajs-2431	75	9	°	°	NUM
iajs-2431	75	10	𝑄	𝑄	PROPN
iajs-2431	75	11	𝑡	𝑡	PROPN
iajs-2431	75	12	1	1	NUM
iajs-2431	75	13	𝑖𝑡𝑥	𝑖𝑡𝑥	NOUN
iajs-2431	75	14	𝑖𝑡	𝑖𝑡	NOUN
iajs-2431	75	15	𝑥	𝑥	NOUN
iajs-2431	75	16	2	2	NUM
iajs-2431	75	17	!	!	PUNCT
iajs-2431	75	18	⋯	⋯	VERB
iajs-2431	75	19	𝑖𝑡	𝑖𝑡	NOUN
iajs-2431	75	20	𝑥	𝑥	NOUN
iajs-2431	75	21	𝑟	𝑟	NOUN
iajs-2431	75	22	!	!	PUNCT
iajs-2431	76	1	𝑓	𝑓	DET
iajs-2431	76	2	𝑥	𝑥	INTJ
iajs-2431	76	3	𝑑𝑥	𝑑𝑥	NOUN
iajs-2431	76	4	°	°	NUM
iajs-2431	76	5	𝑄	𝑄	PROPN
iajs-2431	76	6	𝑡	𝑡	VERB
iajs-2431	76	7	𝑖𝑡	𝑖𝑡	NOUN
iajs-2431	76	8	𝑟	𝑟	NOUN
iajs-2431	76	9	!	!	PUNCT
iajs-2431	77	1	𝐸	𝐸	PROPN
iajs-2431	77	2	𝑋	𝑋	NOUN
iajs-2431	77	3	𝑄	𝑄	PROPN
iajs-2431	77	4	𝑡	𝑡	VERB
iajs-2431	77	5	𝑖𝑡	𝑖𝑡	NOUN
iajs-2431	77	6	𝑟	𝑟	NOUN
iajs-2431	77	7	!	!	PUNCT
iajs-2431	78	1	𝛼	𝛼	X
iajs-2431	79	1	1	1	NUM
iajs-2431	79	2	𝛼	𝛼	SYM
iajs-2431	79	3	2	2	NUM
iajs-2431	79	4	𝜃	𝜃	NUM
iajs-2431	79	5	𝛤	𝛤	NOUN
iajs-2431	79	6	𝑟	𝑟	NOUN
iajs-2431	79	7	2	2	NUM
iajs-2431	79	8	1	1	NUM
iajs-2431	79	9	1	1	NUM
iajs-2431	79	10	1	1	NUM
iajs-2431	79	11	𝛼	𝛼	SYM
iajs-2431	79	12	1	1	NUM
iajs-2431	79	13	𝑄	𝑄	PROPN
iajs-2431	79	14	𝑡	𝑡	NOUN
iajs-2431	79	15	𝛼	𝛼	VERB
iajs-2431	79	16	1	1	NUM
iajs-2431	79	17	𝛼	𝛼	NOUN
iajs-2431	79	18	𝑖𝑡	𝑖𝑡	NOUN
iajs-2431	79	19	𝑟	𝑟	NOUN
iajs-2431	79	20	!	!	NOUN
iajs-2431	79	21	2	2	NUM
iajs-2431	79	22	𝜃	𝜃	NUM
iajs-2431	79	23	𝛤	𝛤	NOUN
iajs-2431	79	24	𝑟	𝑟	NOUN
iajs-2431	79	25	2	2	NUM
iajs-2431	79	26	1	1	NUM
iajs-2431	79	27	1	1	NUM
iajs-2431	79	28	1	1	NUM
iajs-2431	79	29	𝛼	𝛼	SYM
iajs-2431	79	30	1	1	NUM
iajs-2431	79	31	14	14	NUM
iajs-2431	79	32	6	6	NUM
iajs-2431	79	33	-	-	PUNCT
iajs-2431	79	34	quintile	quintile	NOUN
iajs-2431	79	35	function	function	NOUN
iajs-2431	79	36	the	the	DET
iajs-2431	79	37	quintile	quintile	NOUN
iajs-2431	79	38	of	of	ADP
iajs-2431	79	39	this	this	DET
iajs-2431	79	40	distribution	distribution	NOUN
iajs-2431	79	41	is	be	AUX
iajs-2431	79	42	denoted	denote	VERB
iajs-2431	79	43	by	by	ADP
iajs-2431	79	44	𝑥	𝑥	PROPN
iajs-2431	79	45	𝐹	𝐹	PROPN
iajs-2431	79	46	𝑣	𝑣	PROPN
iajs-2431	79	47	,	,	PUNCT
iajs-2431	79	48	v=	v=	NOUN
iajs-2431	79	49	𝐹	𝐹	PROPN
iajs-2431	80	1	𝑥	𝑥	NOUN
iajs-2431	80	2	:	:	PUNCT
iajs-2431	80	3	𝐹	𝐹	PROPN
iajs-2431	81	1	𝑥	𝑥	PROPN
iajs-2431	81	2	1	1	NUM
iajs-2431	81	3	𝛼	𝛼	SYM
iajs-2431	81	4	1	1	NUM
iajs-2431	81	5	𝑒	𝑒	PROPN
iajs-2431	81	6	𝑒	𝑒	PROPN
iajs-2431	81	7	𝛼	𝛼	X
iajs-2431	81	8	𝑉	𝑉	PROPN
iajs-2431	81	9	1	1	NUM
iajs-2431	81	10	𝛼	𝛼	SYM
iajs-2431	81	11	1	1	NUM
iajs-2431	81	12	𝑒	𝑒	PROPN
iajs-2431	81	13	𝑒	𝑒	PROPN
iajs-2431	81	14	𝛼	𝛼	PROPN
iajs-2431	81	15	  	  	SPACE
iajs-2431	81	16	113	113	NUM
iajs-2431	81	17	ibn	ibn	PROPN
iajs-2431	81	18	al	al	PROPN
iajs-2431	81	19	-	-	PUNCT
iajs-2431	81	20	haitham	haitham	PROPN
iajs-2431	81	21	jour	jour	X
iajs-2431	81	22	.	.	PROPN
iajs-2431	81	23	for	for	ADP
iajs-2431	81	24	pure	pure	ADJ
iajs-2431	81	25	&	&	CCONJ
iajs-2431	81	26	appl	appl	PROPN
iajs-2431	81	27	.	.	PUNCT
iajs-2431	82	1	sci	sci	PROPN
iajs-2431	82	2	.	.	PROPN
iajs-2431	83	1	33	33	NUM
iajs-2431	83	2	(	(	PUNCT
iajs-2431	83	3	2	2	NUM
iajs-2431	83	4	)	)	PUNCT
iajs-2431	83	5	2020	2020	NUM
iajs-2431	83	6	𝑒	𝑒	PROPN
iajs-2431	83	7	𝛼	𝛼	PROPN
iajs-2431	83	8	1	1	NUM
iajs-2431	83	9	𝑒	𝑒	PROPN
iajs-2431	83	10	𝛼	𝛼	PROPN
iajs-2431	83	11	1	1	NUM
iajs-2431	83	12	𝑣	𝑣	ADP
iajs-2431	83	13	0	0	NUM
iajs-2431	83	14	15	15	NUM
iajs-2431	83	15	the	the	DET
iajs-2431	83	16	equation	equation	NOUN
iajs-2431	83	17	(	(	PUNCT
iajs-2431	83	18	15	15	NUM
iajs-2431	83	19	)	)	PUNCT
iajs-2431	83	20	is	be	AUX
iajs-2431	83	21	difficult	difficult	ADJ
iajs-2431	83	22	to	to	PART
iajs-2431	83	23	solve	solve	VERB
iajs-2431	83	24	,	,	PUNCT
iajs-2431	83	25	and	and	CCONJ
iajs-2431	83	26	then	then	ADV
iajs-2431	83	27	,	,	PUNCT
iajs-2431	83	28	to	to	PART
iajs-2431	83	29	solve	solve	VERB
iajs-2431	83	30	it	it	PRON
iajs-2431	83	31	is	be	AUX
iajs-2431	83	32	by	by	ADP
iajs-2431	83	33	using	use	VERB
iajs-2431	83	34	the	the	DET
iajs-2431	83	35	numerical	numerical	ADJ
iajs-2431	83	36	methods	method	NOUN
iajs-2431	83	37	after	after	ADP
iajs-2431	83	38	compensation	compensation	NOUN
iajs-2431	83	39	the	the	DET
iajs-2431	83	40	estimate	estimate	NOUN
iajs-2431	83	41	of	of	ADP
iajs-2431	83	42	𝜃	𝜃	PROPN
iajs-2431	83	43	,	,	PUNCT
iajs-2431	83	44	𝛼	𝛼	VERB
iajs-2431	83	45	in	in	ADP
iajs-2431	83	46	it	it	PRON
iajs-2431	83	47	.	.	PUNCT
iajs-2431	84	1	to	to	PART
iajs-2431	84	2	find	find	VERB
iajs-2431	84	3	the	the	DET
iajs-2431	84	4	mode	mode	NOUN
iajs-2431	84	5	of	of	ADP
iajs-2431	84	6	this	this	DET
iajs-2431	84	7	distribution	distribution	NOUN
iajs-2431	84	8	we	we	PRON
iajs-2431	84	9	apply	apply	VERB
iajs-2431	84	10	𝑓′	𝑓′	ADP
iajs-2431	84	11	𝑥	𝑥	PROPN
iajs-2431	84	12	0	0	NUM
iajs-2431	84	13	which	which	PRON
iajs-2431	84	14	is	be	AUX
iajs-2431	84	15	as	as	SCONJ
iajs-2431	84	16	follows	follow	VERB
iajs-2431	84	17	:	:	PUNCT
iajs-2431	84	18	𝐿𝑒𝑡	𝐿𝑒𝑡	PROPN
iajs-2431	84	19	𝐾	𝐾	PROPN
iajs-2431	84	20	𝛼	𝛼	VERB
iajs-2431	84	21	1	1	NUM
iajs-2431	84	22	𝛼	𝛼	NOUN
iajs-2431	84	23	ℓ𝑛𝑓	ℓ𝑛𝑓	NOUN
iajs-2431	84	24	𝑥	𝑥	NOUN
iajs-2431	84	25	ℓ𝑛	ℓ𝑛	NOUN
iajs-2431	84	26	𝐾	𝐾	PROPN
iajs-2431	84	27	ℓ𝑛𝜃	ℓ𝑛𝜃	VERB
iajs-2431	84	28	ℓ𝑛	ℓ𝑛	NOUN
iajs-2431	84	29	𝑥	𝑥	ADV
iajs-2431	84	30	𝑥	𝑥	ADV
iajs-2431	84	31	ℓ𝑛	ℓ𝑛	NOUN
iajs-2431	84	32	1	1	NUM
iajs-2431	84	33	𝑒	𝑒	NOUN
iajs-2431	84	34	𝑑ℓ𝑛𝑓	𝑑ℓ𝑛𝑓	NOUN
iajs-2431	84	35	𝑥	𝑥	NOUN
iajs-2431	84	36	𝑑𝑥	𝑑𝑥	ADP
iajs-2431	84	37	1	1	NUM
iajs-2431	84	38	𝑥	𝑥	NOUN
iajs-2431	84	39	𝜃𝑥	𝜃𝑥	ADP
iajs-2431	84	40	𝜃𝑥𝛼	𝜃𝑥𝛼	NOUN
iajs-2431	84	41	𝑒	𝑒	PROPN
iajs-2431	84	42	1	1	NUM
iajs-2431	84	43	𝑒	𝑒	NOUN
iajs-2431	84	44	𝑑ℓ𝑛𝑓	𝑑ℓ𝑛𝑓	NOUN
iajs-2431	84	45	𝑥	𝑥	PRON
iajs-2431	84	46	𝑑𝑥	𝑑𝑥	VERB
iajs-2431	84	47	0	0	NUM
iajs-2431	84	48	,	,	PUNCT
iajs-2431	84	49	1	1	NUM
iajs-2431	84	50	𝑥	𝑥	NOUN
iajs-2431	84	51	𝜃𝑥	𝜃𝑥	ADP
iajs-2431	84	52	𝜃𝑥𝛼	𝜃𝑥𝛼	NOUN
iajs-2431	84	53	𝑒	𝑒	PROPN
iajs-2431	84	54	1	1	NUM
iajs-2431	84	55	𝑒	𝑒	PROPN
iajs-2431	84	56	0	0	NUM
iajs-2431	84	57	𝑒	𝑒	PROPN
iajs-2431	84	58	1	1	NUM
iajs-2431	84	59	𝜃𝑥	𝜃𝑥	ADP
iajs-2431	84	60	𝜃𝑥	𝜃𝑥	ADP
iajs-2431	84	61	𝛼	𝛼	SYM
iajs-2431	84	62	1	1	NUM
iajs-2431	84	63	𝜃𝑥	𝜃𝑥	ADP
iajs-2431	84	64	0	0	NUM
iajs-2431	84	65	16	16	NUM
iajs-2431	84	66	the	the	DET
iajs-2431	84	67	equation	equation	NOUN
iajs-2431	84	68	(	(	PUNCT
iajs-2431	84	69	16	16	NUM
iajs-2431	84	70	)	)	PUNCT
iajs-2431	84	71	can	can	AUX
iajs-2431	84	72	be	be	AUX
iajs-2431	84	73	solved	solve	VERB
iajs-2431	84	74	using	use	VERB
iajs-2431	84	75	numerical	numerical	ADJ
iajs-2431	84	76	methods	method	NOUN
iajs-2431	84	77	because	because	SCONJ
iajs-2431	84	78	it	it	PRON
iajs-2431	84	79	very	very	ADV
iajs-2431	84	80	difficult	difficult	ADJ
iajs-2431	84	81	.	.	PUNCT
iajs-2431	85	1	to	to	PART
iajs-2431	85	2	find	find	VERB
iajs-2431	85	3	the	the	DET
iajs-2431	85	4	median	median	NOUN
iajs-2431	85	5	of	of	ADP
iajs-2431	85	6	this	this	DET
iajs-2431	85	7	distribution	distribution	NOUN
iajs-2431	85	8	,	,	PUNCT
iajs-2431	85	9	we	we	PRON
iajs-2431	85	10	apply	apply	VERB
iajs-2431	85	11	𝐹	𝐹	PROPN
iajs-2431	85	12	𝑥	𝑥	NOUN
iajs-2431	85	13	which	which	PRON
iajs-2431	85	14	is	be	AUX
iajs-2431	85	15	as	as	SCONJ
iajs-2431	85	16	follows	follow	VERB
iajs-2431	85	17	:	:	PUNCT
iajs-2431	85	18	𝐹	𝐹	PROPN
iajs-2431	86	1	𝑥	𝑥	PROPN
iajs-2431	86	2	1	1	NUM
iajs-2431	86	3	2	2	NUM
iajs-2431	86	4	1	1	NUM
iajs-2431	86	5	𝛼	𝛼	SYM
iajs-2431	86	6	1	1	NUM
iajs-2431	86	7	𝑒	𝑒	PROPN
iajs-2431	86	8	𝑒	𝑒	PROPN
iajs-2431	86	9	𝛼	𝛼	PROPN
iajs-2431	86	10	1	1	NUM
iajs-2431	86	11	2	2	NUM
iajs-2431	86	12	𝑒	𝑒	PROPN
iajs-2431	86	13	𝛼	𝛼	PROPN
iajs-2431	86	14	1	1	NUM
iajs-2431	86	15	𝑒	𝑒	PROPN
iajs-2431	86	16	0.5𝛼	0.5𝛼	NOUN
iajs-2431	86	17	0	0	NUM
iajs-2431	86	18	17	17	NUM
iajs-2431	86	19	the	the	DET
iajs-2431	86	20	equation	equation	NOUN
iajs-2431	86	21	(	(	PUNCT
iajs-2431	86	22	17	17	NUM
iajs-2431	86	23	)	)	PUNCT
iajs-2431	86	24	solves	solve	VERB
iajs-2431	86	25	it	it	PRON
iajs-2431	86	26	by	by	ADP
iajs-2431	86	27	using	use	VERB
iajs-2431	86	28	numerical	numerical	ADJ
iajs-2431	86	29	methods	method	NOUN
iajs-2431	86	30	.	.	PUNCT
iajs-2431	87	1	conclusion	conclusion	NOUN
iajs-2431	87	2	weighted	weight	VERB
iajs-2431	87	3	distributions	distribution	NOUN
iajs-2431	87	4	are	be	AUX
iajs-2431	87	5	employed	employ	VERB
iajs-2431	87	6	mostly	mostly	ADV
iajs-2431	87	7	in	in	ADP
iajs-2431	87	8	study	study	NOUN
iajs-2431	87	9	of	of	ADP
iajs-2431	87	10	reliability	reliability	NOUN
iajs-2431	87	11	,	,	PUNCT
iajs-2431	87	12	bio	bio	NOUN
iajs-2431	87	13	-	-	NOUN
iajs-2431	87	14	medicine	medicine	NOUN
iajs-2431	87	15	,	,	PUNCT
iajs-2431	87	16	metaanalysis	metaanalysis	NOUN
iajs-2431	87	17	,	,	PUNCT
iajs-2431	87	18	econometrics	econometric	NOUN
iajs-2431	87	19	,	,	PUNCT
iajs-2431	87	20	survival	survival	NOUN
iajs-2431	87	21	analysis	analysis	NOUN
iajs-2431	87	22	,	,	PUNCT
iajs-2431	87	23	renewal	renewal	NOUN
iajs-2431	87	24	processes	process	NOUN
iajs-2431	87	25	,	,	PUNCT
iajs-2431	87	26	physics	physics	NOUN
iajs-2431	87	27	,	,	PUNCT
iajs-2431	87	28	ecology	ecology	NOUN
iajs-2431	87	29	and	and	CCONJ
iajs-2431	87	30	branching	branch	VERB
iajs-2431	87	31	processes	process	NOUN
iajs-2431	87	32	.	.	PUNCT
iajs-2431	88	1	a	a	DET
iajs-2431	88	2	weighted	weight	VERB
iajs-2431	88	3	model	model	NOUN
iajs-2431	88	4	based	base	VERB
iajs-2431	88	5	on	on	ADP
iajs-2431	88	6	the	the	DET
iajs-2431	88	7	rayleigh	rayleigh	NOUN
iajs-2431	88	8	distribution	distribution	NOUN
iajs-2431	88	9	is	be	AUX
iajs-2431	88	10	proposed	propose	VERB
iajs-2431	88	11	in	in	ADP
iajs-2431	88	12	this	this	DET
iajs-2431	88	13	work	work	NOUN
iajs-2431	88	14	and	and	CCONJ
iajs-2431	88	15	the	the	DET
iajs-2431	88	16	statistical	statistical	ADJ
iajs-2431	88	17	properties	property	NOUN
iajs-2431	88	18	of	of	ADP
iajs-2431	88	19	this	this	DET
iajs-2431	88	20	model	model	NOUN
iajs-2431	88	21	are	be	AUX
iajs-2431	88	22	presented	present	VERB
iajs-2431	88	23	.	.	PUNCT
iajs-2431	89	1	some	some	DET
iajs-2431	89	2	non	non	ADJ
iajs-2431	89	3	-	-	ADJ
iajs-2431	89	4	bayesian	bayesian	ADJ
iajs-2431	89	5	and	and	CCONJ
iajs-2431	89	6	bayesian	bayesian	NOUN
iajs-2431	89	7	methods	method	NOUN
iajs-2431	89	8	may	may	AUX
iajs-2431	89	9	be	be	AUX
iajs-2431	89	10	used	use	VERB
iajs-2431	89	11	to	to	PART
iajs-2431	89	12	estimate	estimate	VERB
iajs-2431	89	13	the	the	DET
iajs-2431	89	14	parameter	parameter	NOUN
iajs-2431	89	15	of	of	ADP
iajs-2431	89	16	proposed	propose	VERB
iajs-2431	89	17	model	model	NOUN
iajs-2431	89	18	in	in	ADP
iajs-2431	89	19	the	the	DET
iajs-2431	89	20	future	future	ADJ
iajs-2431	89	21	work	work	NOUN
iajs-2431	89	22	.	.	PUNCT
iajs-2431	90	1	furthermore	furthermore	ADV
iajs-2431	90	2	,	,	PUNCT
iajs-2431	90	3	the	the	DET
iajs-2431	90	4	proposed	propose	VERB
iajs-2431	90	5	model	model	NOUN
iajs-2431	90	6	may	may	AUX
iajs-2431	90	7	be	be	AUX
iajs-2431	90	8	employed	employ	VERB
iajs-2431	90	9	for	for	ADP
iajs-2431	90	10	a	a	DET
iajs-2431	90	11	real	real	ADJ
iajs-2431	90	12	data	datum	NOUN
iajs-2431	90	13	depending	depend	VERB
iajs-2431	90	14	on	on	ADP
iajs-2431	90	15	accurate	accurate	ADJ
iajs-2431	90	16	goodness	goodness	NOUN
iajs-2431	90	17	-	-	PUNCT
iajs-2431	90	18	of	of	ADP
iajs-2431	90	19	-	-	PUNCT
iajs-2431	90	20	fit	fit	NOUN
iajs-2431	90	21	test	test	NOUN
iajs-2431	90	22	acknowledgments	acknowledgment	NOUN
iajs-2431	90	23	we	we	PRON
iajs-2431	90	24	would	would	AUX
iajs-2431	90	25	like	like	VERB
iajs-2431	90	26	to	to	PART
iajs-2431	90	27	thank	thank	VERB
iajs-2431	90	28	the	the	DET
iajs-2431	90	29	referee	referee	NOUN
iajs-2431	90	30	for	for	ADP
iajs-2431	90	31	valuable	valuable	ADJ
iajs-2431	90	32	and	and	CCONJ
iajs-2431	90	33	constructive	constructive	ADJ
iajs-2431	90	34	comments	comment	NOUN
iajs-2431	90	35	which	which	PRON
iajs-2431	90	36	significantly	significantly	ADV
iajs-2431	90	37	improved	improve	VERB
iajs-2431	90	38	the	the	DET
iajs-2431	90	39	paper	paper	NOUN
iajs-2431	90	40	.	.	PUNCT
iajs-2431	91	1	references	reference	NOUN
iajs-2431	91	2	1	1	NUM
iajs-2431	91	3	.	.	PUNCT
iajs-2431	91	4	azzalini	azzalini	PROPN
iajs-2431	91	5	,	,	PUNCT
iajs-2431	91	6	a.	a.	NOUN
iajs-2431	91	7	a	a	DET
iajs-2431	91	8	class	class	NOUN
iajs-2431	91	9	of	of	ADP
iajs-2431	91	10	distributions	distribution	NOUN
iajs-2431	91	11	,	,	PUNCT
iajs-2431	91	12	which	which	PRON
iajs-2431	91	13	includes	include	VERB
iajs-2431	91	14	.	.	PUNCT
iajs-2431	92	1	the	the	DET
iajs-2431	92	2	normal	normal	ADJ
iajs-2431	92	3	ones	one	NOUN
iajs-2431	92	4	,	,	PUNCT
iajs-2431	92	5	board	board	NOUN
iajs-2431	92	6	of	of	ADP
iajs-2431	92	7	the	the	DET
iajs-2431	92	8	foundation	foundation	NOUN
iajs-2431	92	9	of	of	ADP
iajs-2431	92	10	the	the	DET
iajs-2431	92	11	scandinavian	scandinavian	ADJ
iajs-2431	92	12	journal	journal	NOUN
iajs-2431	92	13	of	of	ADP
iajs-2431	92	14	statistics.1985	statistics.1985	PROPN
iajs-2431	92	15	,	,	PUNCT
iajs-2431	92	16	12	12	NUM
iajs-2431	92	17	,	,	PUNCT
iajs-2431	92	18	2,171	2,171	NUM
iajs-2431	92	19	-	-	SYM
iajs-2431	92	20	178	178	NUM
iajs-2431	92	21	.	.	NOUN
iajs-2431	93	1	2	2	NUM
iajs-2431	93	2	.	.	X
iajs-2431	93	3	gupta	gupta	PROPN
iajs-2431	93	4	,	,	PUNCT
iajs-2431	93	5	r.d	r.d	PROPN
iajs-2431	93	6	.	.	PROPN
iajs-2431	93	7	;	;	PUNCT
iajs-2431	93	8	kundu	kundu	NOUN
iajs-2431	93	9	,	,	PUNCT
iajs-2431	93	10	d.	d.	PROPN
iajs-2431	93	11	a	a	DET
iajs-2431	93	12	new	new	ADJ
iajs-2431	93	13	class	class	NOUN
iajs-2431	93	14	of	of	ADP
iajs-2431	93	15	weighted	weight	VERB
iajs-2431	93	16	exponential	exponential	ADJ
iajs-2431	93	17	distributions	distribution	NOUN
iajs-2431	93	18	.	.	PUNCT
iajs-2431	94	1	statistics.2009	statistics.2009	PROPN
iajs-2431	94	2	,	,	PUNCT
iajs-2431	94	3	43	43	NUM
iajs-2431	94	4	,	,	PUNCT
iajs-2431	94	5	6	6	NUM
iajs-2431	94	6	,	,	PUNCT
iajs-2431	94	7	pp.621	pp.621	PROPN
iajs-2431	94	8	-	-	PUNCT
iajs-2431	94	9	634	634	NUM
iajs-2431	94	10	.	.	PUNCT
iajs-2431	95	1	3	3	X
iajs-2431	95	2	.	.	X
iajs-2431	95	3	shahbaz	shahbaz	PROPN
iajs-2431	95	4	,	,	PUNCT
iajs-2431	95	5	s.	s.	PROPN
iajs-2431	95	6	;	;	PUNCT
iajs-2431	95	7	shahbaz	shahbaz	PROPN
iajs-2431	95	8	,	,	PUNCT
iajs-2431	95	9	m.q	m.q	PROPN
iajs-2431	95	10	.	.	PROPN
iajs-2431	95	11	;	;	PUNCT
iajs-2431	95	12	butt	butt	PROPN
iajs-2431	95	13	,	,	PUNCT
iajs-2431	95	14	n.s	n.s	PROPN
iajs-2431	95	15	.	.	PROPN
iajs-2431	95	16	a	a	DET
iajs-2431	95	17	class	class	NOUN
iajs-2431	95	18	of	of	ADP
iajs-2431	95	19	weighted	weight	VERB
iajs-2431	95	20	weibull	weibull	NOUN
iajs-2431	95	21	distribution	distribution	NOUN
iajs-2431	95	22	.	.	PUNCT
iajs-2431	96	1	pak	pak	PROPN
iajs-2431	96	2	.	.	PUNCT
iajs-2431	97	1	j.	j.	PROPN
iajs-2431	97	2	stat	stat	PROPN
iajs-2431	97	3	.	.	PUNCT
iajs-2431	98	1	oper	oper	PROPN
iajs-2431	98	2	.	.	PUNCT
iajs-2431	99	1	res.2010	res.2010	NOUN
iajs-2431	99	2	,	,	PUNCT
iajs-2431	99	3	6	6	NUM
iajs-2431	99	4	,	,	PUNCT
iajs-2431	99	5	1	1	NUM
iajs-2431	99	6	,	,	PUNCT
iajs-2431	99	7	53	53	NUM
iajs-2431	99	8	-	-	SYM
iajs-2431	99	9	59	59	NUM
iajs-2431	99	10	.	.	PUNCT
iajs-2431	99	11	  	  	SPACE
iajs-2431	100	1	114	114	NUM
iajs-2431	100	2	ibn	ibn	PROPN
iajs-2431	100	3	al	al	PROPN
iajs-2431	100	4	-	-	PUNCT
iajs-2431	100	5	haitham	haitham	PROPN
iajs-2431	100	6	jour	jour	X
iajs-2431	100	7	.	.	PROPN
iajs-2431	100	8	for	for	ADP
iajs-2431	100	9	pure	pure	ADJ
iajs-2431	100	10	&	&	CCONJ
iajs-2431	100	11	appl	appl	PROPN
iajs-2431	100	12	.	.	PUNCT
iajs-2431	101	1	sci	sci	PROPN
iajs-2431	101	2	.	.	PROPN
iajs-2431	102	1	33	33	NUM
iajs-2431	102	2	(	(	PUNCT
iajs-2431	102	3	2	2	NUM
iajs-2431	102	4	)	)	PUNCT
iajs-2431	102	5	2020	2020	NUM
iajs-2431	102	6	4	4	NUM
iajs-2431	102	7	.	.	X
iajs-2431	103	1	ramadan	ramadan	PROPN
iajs-2431	103	2	,	,	PUNCT
iajs-2431	103	3	mervat	mervat	NOUN
iajs-2431	103	4	,	,	PUNCT
iajs-2431	103	5	mahdy	mahdy	NOUN
iajs-2431	103	6	.	.	PUNCT
iajs-2431	104	1	a	a	DET
iajs-2431	104	2	class	class	NOUN
iajs-2431	104	3	of	of	ADP
iajs-2431	104	4	weighed	weigh	VERB
iajs-2431	104	5	gamma	gamma	NOUN
iajs-2431	104	6	distributions	distribution	NOUN
iajs-2431	104	7	its	its	PRON
iajs-2431	104	8	properties	property	NOUN
iajs-2431	104	9	,	,	PUNCT
iajs-2431	104	10	economic	economic	ADJ
iajs-2431	104	11	quality	quality	NOUN
iajs-2431	104	12	control.2010	control.2010	PROPN
iajs-2431	104	13	,	,	PUNCT
iajs-2431	104	14	26	26	NUM
iajs-2431	104	15	,	,	PUNCT
iajs-2431	104	16	2	2	NUM
iajs-2431	104	17	,	,	PUNCT
iajs-2431	104	18	133	133	NUM
iajs-2431	104	19	-	-	SYM
iajs-2431	104	20	144	144	NUM
iajs-2431	104	21	.	.	NOUN
iajs-2431	105	1	5	5	NUM
iajs-2431	105	2	.	.	X
iajs-2431	105	3	essam	essam	PROPN
iajs-2431	105	4	,	,	PUNCT
iajs-2431	105	5	a.a	a.a	PROPN
iajs-2431	105	6	.	.	PROPN
iajs-2431	105	7	;	;	PUNCT
iajs-2431	105	8	mohamed	mohamed	PROPN
iajs-2431	105	9	,	,	PUNCT
iajs-2431	105	10	a.h	a.h	PROPN
iajs-2431	105	11	.	.	PROPN
iajs-2431	105	12	a	a	DET
iajs-2431	105	13	weighted	weighted	ADJ
iajs-2431	105	14	three	three	NUM
iajs-2431	105	15	-	-	PUNCT
iajs-2431	105	16	parameter	parameter	NOUN
iajs-2431	105	17	weibull	weibull	NOUN
iajs-2431	105	18	distribution	distribution	NOUN
iajs-2431	105	19	.	.	PUNCT
iajs-2431	106	1	j.	j.	PROPN
iajs-2431	106	2	applied	apply	VERB
iajs-2431	106	3	sci	sci	PROPN
iajs-2431	106	4	.	.	PUNCT
iajs-2431	107	1	res.2013	res.2013	NUM
iajs-2431	107	2	,	,	PUNCT
iajs-2431	107	3	9	9	NUM
iajs-2431	107	4	,	,	PUNCT
iajs-2431	107	5	6627	6627	NUM
iajs-2431	107	6	-	-	SYM
iajs-2431	107	7	6635	6635	NUM
iajs-2431	107	8	.	.	PUNCT
iajs-2431	108	1	6	6	NUM
iajs-2431	108	2	.	.	X
iajs-2431	108	3	farahani	farahani	PROPN
iajs-2431	108	4	,	,	PUNCT
iajs-2431	108	5	z.s.m	z.s.m	PROPN
iajs-2431	108	6	.	.	PROPN
iajs-2431	108	7	;	;	PUNCT
iajs-2431	108	8	khorram	khorram	PROPN
iajs-2431	108	9	,	,	PUNCT
iajs-2431	108	10	e.	e.	PROPN
iajs-2431	108	11	bayesian	bayesian	PROPN
iajs-2431	108	12	statistical	statistical	ADJ
iajs-2431	108	13	inference	inference	NOUN
iajs-2431	108	14	for	for	ADP
iajs-2431	108	15	weighted	weight	VERB
iajs-2431	108	16	exponential	exponential	ADJ
iajs-2431	108	17	distribution	distribution	NOUN
iajs-2431	108	18	.	.	PUNCT
iajs-2431	109	1	communications	communication	NOUN
iajs-2431	109	2	in	in	ADP
iajs-2431	109	3	statistics	statistic	NOUN
iajs-2431	109	4	-	-	PUNCT
iajs-2431	109	5	simulation	simulation	NOUN
iajs-2431	109	6	and	and	CCONJ
iajs-2431	109	7	computation.2014	computation.2014	PROPN
iajs-2431	109	8	,	,	PUNCT
iajs-2431	109	9	43	43	NUM
iajs-2431	109	10	,	,	PUNCT
iajs-2431	109	11	6	6	NUM
iajs-2431	109	12	,	,	PUNCT
iajs-2431	109	13	1362	1362	NUM
iajs-2431	109	14	-	-	SYM
iajs-2431	109	15	1384	1384	NUM
iajs-2431	109	16	.	.	PUNCT
iajs-2431	110	1	7	7	X
iajs-2431	110	2	.	.	X
iajs-2431	110	3	badmus	badmus	NOUN
iajs-2431	110	4	,	,	PUNCT
iajs-2431	110	5	n.i	n.i	PROPN
iajs-2431	110	6	.	.	PROPN
iajs-2431	110	7	;	;	PUNCT
iajs-2431	110	8	bamiduro	bamiduro	NOUN
iajs-2431	110	9	.	.	PUNCT
iajs-2431	111	1	t.	t.	PROPN
iajs-2431	111	2	adebayo	adebayo	PROPN
iajs-2431	111	3	,	,	PUNCT
iajs-2431	111	4	animasaun.a	animasaun.a	PROPN
iajs-2431	111	5	monsuru	monsuru	NOUN
iajs-2431	111	6	,	,	PUNCT
iajs-2431	111	7	and	and	CCONJ
iajs-2431	111	8	akingbade.a	akingbade.a	NOUN
iajs-2431	111	9	akkeem	akkeem	NOUN
iajs-2431	111	10	,	,	PUNCT
iajs-2431	111	11	the	the	DET
iajs-2431	111	12	beta	beta	NOUN
iajs-2431	111	13	weighted	weight	VERB
iajs-2431	111	14	exponential	exponential	ADJ
iajs-2431	111	15	distribution	distribution	NOUN
iajs-2431	111	16	.	.	PUNCT
iajs-2431	112	1	theory	theory	NOUN
iajs-2431	112	2	and	and	CCONJ
iajs-2431	112	3	application	application	NOUN
iajs-2431	112	4	,	,	PUNCT
iajs-2431	112	5	international	international	ADJ
iajs-2431	112	6	journal	journal	NOUN
iajs-2431	112	7	of	of	ADP
iajs-2431	112	8	mathematical	mathematical	ADJ
iajs-2431	112	9	analysis	analysis	NOUN
iajs-2431	112	10	and	and	CCONJ
iajs-2431	112	11	optimization	optimization	NOUN
iajs-2431	112	12	.	.	PUNCT
iajs-2431	113	1	55	55	NUM
iajs-2431	113	2	-	-	SYM
iajs-2431	113	3	66	66	NUM
iajs-2431	113	4	.	.	PUNCT
iajs-2431	114	1	8	8	NUM
iajs-2431	114	2	.	.	X
iajs-2431	115	1	oguntunde	oguntunde	PROPN
iajs-2431	115	2	,	,	PUNCT
iajs-2431	115	3	p.e	p.e	PROPN
iajs-2431	115	4	.	.	PROPN
iajs-2431	115	5	on	on	ADP
iajs-2431	115	6	the	the	DET
iajs-2431	115	7	exponentiated	exponentiated	PROPN
iajs-2431	115	8	weighted	weight	VERB
iajs-2431	115	9	exponential	exponential	ADJ
iajs-2431	115	10	distribution	distribution	NOUN
iajs-2431	115	11	and	and	CCONJ
iajs-2431	115	12	its	its	PRON
iajs-2431	115	13	basic	basic	ADJ
iajs-2431	115	14	statistical	statistical	ADJ
iajs-2431	115	15	properties	property	NOUN
iajs-2431	115	16	.	.	PUNCT
iajs-2431	116	1	psci	psci	PROPN
iajs-2431	117	1	publication.2015	publication.2015	ADP
iajs-2431	117	2	,	,	PUNCT
iajs-2431	117	3	10	10	NUM
iajs-2431	117	4	,	,	PUNCT
iajs-2431	117	5	3	3	NUM
iajs-2431	117	6	,	,	PUNCT
iajs-2431	117	7	160	160	NUM
iajs-2431	117	8	-	-	SYM
iajs-2431	117	9	167	167	NUM
iajs-2431	117	10	.	.	PUNCT
iajs-2431	118	1	9	9	NUM
iajs-2431	118	2	.	.	X
iajs-2431	118	3	al	al	PROPN
iajs-2431	118	4	-	-	PUNCT
iajs-2431	118	5	noor	noor	PROPN
iajs-2431	118	6	,	,	PUNCT
iajs-2431	118	7	n.h	n.h	PROPN
iajs-2431	118	8	.	.	PROPN
iajs-2431	118	9	;	;	PUNCT
iajs-2431	118	10	hussein	hussein	PROPN
iajs-2431	118	11	,	,	PUNCT
iajs-2431	118	12	l.k	l.k	PROPN
iajs-2431	118	13	.	.	PROPN
iajs-2431	118	14	weighted	weight	VERB
iajs-2431	118	15	exponential	exponential	ADJ
iajs-2431	118	16	distribution	distribution	NOUN
iajs-2431	118	17	:	:	PUNCT
iajs-2431	118	18	approximate	approximate	ADJ
iajs-2431	118	19	bayes	bayes	PROPN
iajs-2431	118	20	estimations	estimation	NOUN
iajs-2431	118	21	with	with	ADP
iajs-2431	118	22	fuzzy	fuzzy	ADJ
iajs-2431	118	23	data	datum	NOUN
iajs-2431	118	24	.	.	PUNCT
iajs-2431	119	1	al	al	PROPN
iajs-2431	119	2	-	-	PUNCT
iajs-2431	119	3	nahrain	nahrain	PROPN
iajs-2431	119	4	journal	journal	NOUN
iajs-2431	119	5	of	of	ADP
iajs-2431	119	6	science.2018	science.2018	PROPN
iajs-2431	119	7	,	,	PUNCT
iajs-2431	119	8	1	1	NUM
iajs-2431	119	9	,	,	PUNCT
iajs-2431	119	10	174	174	NUM
iajs-2431	119	11	-	-	SYM
iajs-2431	119	12	185	185	NUM
iajs-2431	119	13	.	.	PUNCT
iajs-2431	120	1	10	10	NUM
iajs-2431	120	2	.	.	PUNCT
iajs-2431	121	1	jabber	jabber	PROPN
iajs-2431	121	2	,	,	PUNCT
iajs-2431	121	3	a.k	a.k	PROPN
iajs-2431	121	4	.	.	PROPN
iajs-2431	121	5	;	;	PUNCT
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