id	sid	tid	token	lemma	pos
ejpam-3892	1	1	european	european	PROPN
ejpam-3892	1	2	journal	journal	PROPN
ejpam-3892	1	3	of	of	ADP
ejpam-3892	1	4	pure	pure	ADJ
ejpam-3892	1	5	and	and	CCONJ
ejpam-3892	1	6	applied	apply	VERB
ejpam-3892	1	7	mathematics	mathematic	NOUN
ejpam-3892	1	8	vol	vol	NOUN
ejpam-3892	1	9	.	.	PUNCT
ejpam-3892	2	1	14	14	NUM
ejpam-3892	2	2	,	,	PUNCT
ejpam-3892	2	3	no	no	INTJ
ejpam-3892	2	4	.	.	NOUN
ejpam-3892	2	5	1	1	NUM
ejpam-3892	2	6	,	,	PUNCT
ejpam-3892	2	7	2021	2021	NUM
ejpam-3892	2	8	,	,	PUNCT
ejpam-3892	2	9	301	301	NUM
ejpam-3892	2	10	-	-	SYM
ejpam-3892	2	11	313	313	NUM
ejpam-3892	2	12	issn	issn	PROPN
ejpam-3892	2	13	1307	1307	NUM
ejpam-3892	2	14	-	-	SYM
ejpam-3892	2	15	5543	5543	NUM
ejpam-3892	2	16	–	–	PUNCT
ejpam-3892	2	17	ejpam.com	ejpam.com	X
ejpam-3892	2	18	published	publish	VERB
ejpam-3892	2	19	by	by	ADP
ejpam-3892	2	20	new	new	PROPN
ejpam-3892	2	21	york	york	PROPN
ejpam-3892	2	22	business	business	PROPN
ejpam-3892	2	23	global	global	PROPN
ejpam-3892	2	24	general	general	ADJ
ejpam-3892	2	25	results	result	NOUN
ejpam-3892	2	26	for	for	ADP
ejpam-3892	2	27	general	general	ADJ
ejpam-3892	2	28	transmuted	transmute	VERB
ejpam-3892	2	29	-	-	PUNCT
ejpam-3892	2	30	g	g	NOUN
ejpam-3892	2	31	distributions	distribution	NOUN
ejpam-3892	2	32	saman	saman	PROPN
ejpam-3892	2	33	hanif	hanif	PROPN
ejpam-3892	2	34	shahbaz1	shahbaz1	PROPN
ejpam-3892	2	35	,	,	PUNCT
ejpam-3892	2	36	md	md	PROPN
ejpam-3892	2	37	.	.	PROPN
ejpam-3892	2	38	mahabubur	mahabubur	PROPN
ejpam-3892	2	39	rahman2	rahman2	PROPN
ejpam-3892	2	40	,	,	PUNCT
ejpam-3892	2	41	muhammad	muhammad	PROPN
ejpam-3892	2	42	qaiser	qaiser	PROPN
ejpam-3892	2	43	shahbaz1,∗	shahbaz1,∗	PROPN
ejpam-3892	2	44	1	1	NUM
ejpam-3892	2	45	department	department	NOUN
ejpam-3892	2	46	of	of	ADP
ejpam-3892	2	47	statistics	statistic	NOUN
ejpam-3892	2	48	,	,	PUNCT
ejpam-3892	2	49	king	king	PROPN
ejpam-3892	2	50	abdulaziz	abdulaziz	PROPN
ejpam-3892	2	51	university	university	PROPN
ejpam-3892	2	52	,	,	PUNCT
ejpam-3892	2	53	jeddah	jeddah	PROPN
ejpam-3892	2	54	,	,	PUNCT
ejpam-3892	2	55	saudi	saudi	PROPN
ejpam-3892	2	56	arabia	arabia	PROPN
ejpam-3892	2	57	2	2	NUM
ejpam-3892	2	58	department	department	NOUN
ejpam-3892	2	59	of	of	ADP
ejpam-3892	2	60	statistics	statistic	NOUN
ejpam-3892	2	61	,	,	PUNCT
ejpam-3892	2	62	islamic	islamic	PROPN
ejpam-3892	2	63	university	university	PROPN
ejpam-3892	2	64	,	,	PUNCT
ejpam-3892	2	65	kushtia	kushtia	PROPN
ejpam-3892	2	66	,	,	PUNCT
ejpam-3892	2	67	bangladesh	bangladesh	NOUN
ejpam-3892	2	68	abstract	abstract	NOUN
ejpam-3892	2	69	.	.	PUNCT
ejpam-3892	3	1	in	in	ADP
ejpam-3892	3	2	this	this	DET
ejpam-3892	3	3	paper	paper	NOUN
ejpam-3892	3	4	we	we	PRON
ejpam-3892	3	5	have	have	AUX
ejpam-3892	3	6	given	give	VERB
ejpam-3892	3	7	some	some	DET
ejpam-3892	3	8	general	general	ADJ
ejpam-3892	3	9	results	result	NOUN
ejpam-3892	3	10	for	for	ADP
ejpam-3892	3	11	the	the	DET
ejpam-3892	3	12	general	general	ADJ
ejpam-3892	3	13	transmuted	transmuted	ADJ
ejpam-3892	3	14	families	family	NOUN
ejpam-3892	3	15	of	of	ADP
ejpam-3892	3	16	distributions	distribution	NOUN
ejpam-3892	3	17	introduced	introduce	VERB
ejpam-3892	3	18	by	by	ADP
ejpam-3892	3	19	rahman	rahman	PROPN
ejpam-3892	3	20	et	et	PROPN
ejpam-3892	3	21	al	al	PROPN
ejpam-3892	3	22	.	.	PROPN
ejpam-3892	4	1	(	(	PUNCT
ejpam-3892	4	2	2018a	2018a	NUM
ejpam-3892	4	3	,	,	PUNCT
ejpam-3892	4	4	b	b	NOUN
ejpam-3892	4	5	)	)	PUNCT
ejpam-3892	4	6	.	.	PUNCT
ejpam-3892	5	1	these	these	DET
ejpam-3892	5	2	results	result	NOUN
ejpam-3892	5	3	are	be	AUX
ejpam-3892	5	4	helpful	helpful	ADJ
ejpam-3892	5	5	to	to	PART
ejpam-3892	5	6	obtain	obtain	VERB
ejpam-3892	5	7	the	the	DET
ejpam-3892	5	8	results	result	NOUN
ejpam-3892	5	9	for	for	ADP
ejpam-3892	5	10	any	any	DET
ejpam-3892	5	11	member	member	NOUN
ejpam-3892	5	12	of	of	ADP
ejpam-3892	5	13	the	the	DET
ejpam-3892	5	14	general	general	ADJ
ejpam-3892	5	15	families	family	NOUN
ejpam-3892	5	16	of	of	ADP
ejpam-3892	5	17	distributions	distribution	NOUN
ejpam-3892	5	18	and	and	CCONJ
ejpam-3892	5	19	their	their	PRON
ejpam-3892	5	20	special	special	ADJ
ejpam-3892	5	21	cases	case	NOUN
ejpam-3892	5	22	.	.	PUNCT
ejpam-3892	6	1	we	we	PRON
ejpam-3892	6	2	have	have	AUX
ejpam-3892	6	3	given	give	VERB
ejpam-3892	6	4	some	some	DET
ejpam-3892	6	5	examples	example	NOUN
ejpam-3892	6	6	for	for	ADP
ejpam-3892	6	7	illustration	illustration	NOUN
ejpam-3892	6	8	.	.	PUNCT
ejpam-3892	7	1	2020	2020	NUM
ejpam-3892	7	2	mathematics	mathematic	NOUN
ejpam-3892	7	3	subject	subject	NOUN
ejpam-3892	7	4	classifications	classification	NOUN
ejpam-3892	7	5	:	:	PUNCT
ejpam-3892	7	6	62e10	62e10	NUM
ejpam-3892	7	7	,	,	PUNCT
ejpam-3892	7	8	62e15	62e15	NUM
ejpam-3892	7	9	,	,	PUNCT
ejpam-3892	7	10	62g30	62g30	NUM
ejpam-3892	7	11	key	key	ADJ
ejpam-3892	7	12	words	word	NOUN
ejpam-3892	7	13	and	and	CCONJ
ejpam-3892	7	14	phrases	phrase	NOUN
ejpam-3892	7	15	:	:	PUNCT
ejpam-3892	7	16	transmuted	transmuted	ADJ
ejpam-3892	7	17	distributions	distribution	NOUN
ejpam-3892	7	18	,	,	PUNCT
ejpam-3892	7	19	order	order	NOUN
ejpam-3892	7	20	statistics	statistic	NOUN
ejpam-3892	7	21	,	,	PUNCT
ejpam-3892	7	22	tx	tx	PROPN
ejpam-3892	7	23	family	family	NOUN
ejpam-3892	7	24	,	,	PUNCT
ejpam-3892	7	25	distribution	distribution	NOUN
ejpam-3892	7	26	function	function	NOUN
ejpam-3892	7	27	1	1	NUM
ejpam-3892	7	28	.	.	PUNCT
ejpam-3892	7	29	introduction	introduction	NOUN
ejpam-3892	7	30	the	the	DET
ejpam-3892	7	31	transmuted	transmuted	ADJ
ejpam-3892	7	32	families	family	NOUN
ejpam-3892	7	33	of	of	ADP
ejpam-3892	7	34	distributions	distribution	NOUN
ejpam-3892	7	35	has	have	AUX
ejpam-3892	7	36	been	be	AUX
ejpam-3892	7	37	in	in	ADP
ejpam-3892	7	38	used	use	VERB
ejpam-3892	7	39	since	since	SCONJ
ejpam-3892	7	40	the	the	DET
ejpam-3892	7	41	work	work	NOUN
ejpam-3892	7	42	of	of	ADP
ejpam-3892	7	43	[	[	X
ejpam-3892	7	44	16	16	NUM
ejpam-3892	7	45	]	]	PUNCT
ejpam-3892	7	46	.	.	PUNCT
ejpam-3892	8	1	specifically	specifically	ADV
ejpam-3892	8	2	,	,	PUNCT
ejpam-3892	8	3	the	the	DET
ejpam-3892	8	4	transmuted	transmuted	ADJ
ejpam-3892	8	5	family	family	NOUN
ejpam-3892	8	6	of	of	ADP
ejpam-3892	8	7	distributions	distribution	NOUN
ejpam-3892	8	8	,	,	PUNCT
ejpam-3892	8	9	given	give	VERB
ejpam-3892	8	10	by	by	ADP
ejpam-3892	8	11	[	[	PUNCT
ejpam-3892	8	12	16	16	NUM
ejpam-3892	8	13	]	]	PUNCT
ejpam-3892	8	14	,	,	PUNCT
ejpam-3892	8	15	is	be	AUX
ejpam-3892	8	16	defined	define	VERB
ejpam-3892	8	17	by	by	ADP
ejpam-3892	8	18	the	the	DET
ejpam-3892	8	19	cumulative	cumulative	ADJ
ejpam-3892	8	20	distribution	distribution	NOUN
ejpam-3892	8	21	function	function	NOUN
ejpam-3892	8	22	(	(	PUNCT
ejpam-3892	8	23	cdf	cdf	PROPN
ejpam-3892	8	24	)	)	PUNCT
ejpam-3892	8	25	fqt−g	fqt−g	NOUN
ejpam-3892	8	26	(	(	PUNCT
ejpam-3892	8	27	x	x	NOUN
ejpam-3892	8	28	)	)	PUNCT
ejpam-3892	8	29	=	=	SYM
ejpam-3892	8	30	g	g	PROPN
ejpam-3892	8	31	(	(	PUNCT
ejpam-3892	8	32	x	x	NOUN
ejpam-3892	8	33	)	)	PUNCT
ejpam-3892	9	1	+	+	CCONJ
ejpam-3892	9	2	δg	δg	PRON
ejpam-3892	9	3	(	(	PUNCT
ejpam-3892	9	4	x	x	X
ejpam-3892	9	5	)	)	PUNCT
ejpam-3892	10	1	[	[	X
ejpam-3892	10	2	1−g	1−g	NUM
ejpam-3892	10	3	(	(	PUNCT
ejpam-3892	10	4	x	x	NOUN
ejpam-3892	10	5	)	)	PUNCT
ejpam-3892	10	6	]	]	PUNCT
ejpam-3892	10	7	,	,	PUNCT
ejpam-3892	10	8	x	x	PUNCT
ejpam-3892	10	9	∈	∈	PROPN
ejpam-3892	10	10	r	r	NOUN
ejpam-3892	10	11	,	,	PUNCT
ejpam-3892	10	12	(	(	PUNCT
ejpam-3892	10	13	1	1	X
ejpam-3892	10	14	)	)	PUNCT
ejpam-3892	10	15	where	where	SCONJ
ejpam-3892	10	16	g	g	PROPN
ejpam-3892	10	17	(	(	PUNCT
ejpam-3892	10	18	x	x	X
ejpam-3892	10	19	)	)	PUNCT
ejpam-3892	10	20	is	be	AUX
ejpam-3892	10	21	cdf	cdf	PROPN
ejpam-3892	10	22	of	of	ADP
ejpam-3892	10	23	any	any	DET
ejpam-3892	10	24	baseline	baseline	ADJ
ejpam-3892	10	25	distribution	distribution	NOUN
ejpam-3892	10	26	and	and	CCONJ
ejpam-3892	10	27	|δ|	|δ|	VERB
ejpam-3892	10	28	≤	≤	NUM
ejpam-3892	10	29	1	1	NUM
ejpam-3892	10	30	is	be	AUX
ejpam-3892	10	31	transmutation	transmutation	NOUN
ejpam-3892	10	32	parameter	parameter	NOUN
ejpam-3892	10	33	.	.	PUNCT
ejpam-3892	11	1	the	the	DET
ejpam-3892	11	2	density	density	NOUN
ejpam-3892	11	3	function	function	NOUN
ejpam-3892	11	4	corresponding	correspond	VERB
ejpam-3892	11	5	to	to	ADP
ejpam-3892	11	6	(	(	PUNCT
ejpam-3892	11	7	1	1	X
ejpam-3892	11	8	)	)	PUNCT
ejpam-3892	11	9	is	be	AUX
ejpam-3892	11	10	fqt−g	fqt−g	NOUN
ejpam-3892	11	11	(	(	PUNCT
ejpam-3892	11	12	x	x	NOUN
ejpam-3892	11	13	)	)	PUNCT
ejpam-3892	11	14	=	=	SYM
ejpam-3892	11	15	g	g	PROPN
ejpam-3892	11	16	(	(	PUNCT
ejpam-3892	11	17	x	x	X
ejpam-3892	11	18	)	)	PUNCT
ejpam-3892	12	1	[	[	X
ejpam-3892	12	2	1	1	NUM
ejpam-3892	12	3	+	+	NUM
ejpam-3892	12	4	δ	δ	NOUN
ejpam-3892	12	5	−	−	NOUN
ejpam-3892	12	6	2δg	2δg	NOUN
ejpam-3892	12	7	(	(	PUNCT
ejpam-3892	12	8	x	x	NOUN
ejpam-3892	12	9	)	)	PUNCT
ejpam-3892	12	10	]	]	PUNCT
ejpam-3892	12	11	,	,	PUNCT
ejpam-3892	12	12	|δ|	|δ|	VERB
ejpam-3892	12	13	≤	≤	NUM
ejpam-3892	12	14	1	1	NUM
ejpam-3892	12	15	,	,	PUNCT
ejpam-3892	12	16	x	x	X
ejpam-3892	12	17	∈	∈	PROPN
ejpam-3892	12	18	r	r	NOUN
ejpam-3892	12	19	,	,	PUNCT
ejpam-3892	12	20	(	(	PUNCT
ejpam-3892	12	21	2	2	X
ejpam-3892	12	22	)	)	PUNCT
ejpam-3892	12	23	where	where	SCONJ
ejpam-3892	12	24	g	g	PROPN
ejpam-3892	12	25	(	(	PUNCT
ejpam-3892	12	26	x	x	X
ejpam-3892	12	27	)	)	PUNCT
ejpam-3892	12	28	is	be	AUX
ejpam-3892	12	29	density	density	NOUN
ejpam-3892	12	30	function	function	NOUN
ejpam-3892	12	31	corresponding	correspond	VERB
ejpam-3892	12	32	to	to	ADP
ejpam-3892	12	33	g	g	PROPN
ejpam-3892	12	34	(	(	PUNCT
ejpam-3892	12	35	x	x	NOUN
ejpam-3892	12	36	)	)	PUNCT
ejpam-3892	12	37	.	.	PUNCT
ejpam-3892	13	1	the	the	DET
ejpam-3892	13	2	family	family	NOUN
ejpam-3892	13	3	(	(	PUNCT
ejpam-3892	13	4	1	1	X
ejpam-3892	13	5	)	)	PUNCT
ejpam-3892	13	6	is	be	AUX
ejpam-3892	13	7	referred	refer	VERB
ejpam-3892	13	8	to	to	ADP
ejpam-3892	13	9	as	as	ADP
ejpam-3892	13	10	the	the	DET
ejpam-3892	13	11	quadratic	quadratic	ADJ
ejpam-3892	13	12	transmuted	transmuted	ADJ
ejpam-3892	13	13	family	family	NOUN
ejpam-3892	13	14	of	of	ADP
ejpam-3892	13	15	distributions	distribution	NOUN
ejpam-3892	13	16	and	and	CCONJ
ejpam-3892	13	17	can	can	AUX
ejpam-3892	13	18	be	be	AUX
ejpam-3892	13	19	used	use	VERB
ejpam-3892	13	20	to	to	PART
ejpam-3892	13	21	obtain	obtain	VERB
ejpam-3892	13	22	new	new	ADJ
ejpam-3892	13	23	distributions	distribution	NOUN
ejpam-3892	13	24	for	for	ADP
ejpam-3892	13	25	any	any	DET
ejpam-3892	13	26	baseline	baseline	ADJ
ejpam-3892	13	27	distribution	distribution	NOUN
ejpam-3892	13	28	g	g	NOUN
ejpam-3892	13	29	(	(	PUNCT
ejpam-3892	13	30	x	x	NOUN
ejpam-3892	13	31	)	)	PUNCT
ejpam-3892	13	32	.	.	PUNCT
ejpam-3892	14	1	the	the	DET
ejpam-3892	14	2	name	name	NOUN
ejpam-3892	14	3	quadratic	quadratic	ADJ
ejpam-3892	14	4	transmuted	transmuted	ADJ
ejpam-3892	14	5	family	family	NOUN
ejpam-3892	14	6	of	of	ADP
ejpam-3892	14	7	distributions	distribution	NOUN
ejpam-3892	14	8	emerges	emerge	VERB
ejpam-3892	14	9	from	from	ADP
ejpam-3892	14	10	the	the	DET
ejpam-3892	14	11	fact	fact	NOUN
ejpam-3892	14	12	that	that	SCONJ
ejpam-3892	14	13	the	the	DET
ejpam-3892	14	14	family	family	NOUN
ejpam-3892	14	15	(	(	PUNCT
ejpam-3892	14	16	1	1	X
ejpam-3892	14	17	)	)	PUNCT
ejpam-3892	14	18	is	be	AUX
ejpam-3892	14	19	a	a	DET
ejpam-3892	14	20	quadratic	quadratic	ADJ
ejpam-3892	14	21	function	function	NOUN
ejpam-3892	14	22	of	of	ADP
ejpam-3892	14	23	the	the	DET
ejpam-3892	14	24	baseline	baseline	NOUN
ejpam-3892	14	25	cdf	cdf	PROPN
ejpam-3892	14	26	g	g	PROPN
ejpam-3892	14	27	(	(	PUNCT
ejpam-3892	14	28	x	x	NOUN
ejpam-3892	14	29	)	)	PUNCT
ejpam-3892	14	30	.	.	PUNCT
ejpam-3892	15	1	the	the	DET
ejpam-3892	15	2	density	density	NOUN
ejpam-3892	15	3	function	function	NOUN
ejpam-3892	15	4	,	,	PUNCT
ejpam-3892	15	5	(	(	PUNCT
ejpam-3892	15	6	2	2	NUM
ejpam-3892	15	7	)	)	PUNCT
ejpam-3892	15	8	,	,	PUNCT
ejpam-3892	15	9	of	of	ADP
ejpam-3892	15	10	transmuted	transmuted	ADJ
ejpam-3892	15	11	family	family	NOUN
ejpam-3892	15	12	of	of	ADP
ejpam-3892	15	13	distribution	distribution	NOUN
ejpam-3892	15	14	can	can	AUX
ejpam-3892	15	15	be	be	AUX
ejpam-3892	15	16	written	write	VERB
ejpam-3892	15	17	as	as	ADP
ejpam-3892	15	18	the	the	DET
ejpam-3892	15	19	sum	sum	NOUN
ejpam-3892	15	20	∗corresponding	∗corresponde	VERB
ejpam-3892	15	21	author	author	NOUN
ejpam-3892	15	22	.	.	PUNCT
ejpam-3892	16	1	doi	doi	NOUN
ejpam-3892	16	2	:	:	PUNCT
ejpam-3892	16	3	https://doi.org/10.29020/nybg.ejpam.v14i1.3892	https://doi.org/10.29020/nybg.ejpam.v14i1.3892	PROPN
ejpam-3892	16	4	email	email	NOUN
ejpam-3892	16	5	addresses	address	NOUN
ejpam-3892	16	6	:	:	PUNCT
ejpam-3892	16	7	shmohamad2@kau.edu.sa	shmohamad2@kau.edu.sa	NOUN
ejpam-3892	16	8	(	(	PUNCT
ejpam-3892	16	9	s.	s.	PROPN
ejpam-3892	16	10	h.	h.	PROPN
ejpam-3892	16	11	shahbaz	shahbaz	PROPN
ejpam-3892	16	12	)	)	PUNCT
ejpam-3892	16	13	,	,	PUNCT
ejpam-3892	16	14	mmriu.stat@gmail.com	mmriu.stat@gmail.com	NOUN
ejpam-3892	16	15	(	(	PUNCT
ejpam-3892	16	16	m.	m.	NOUN
ejpam-3892	16	17	m.	m.	PROPN
ejpam-3892	16	18	rahman	rahman	PROPN
ejpam-3892	16	19	)	)	PUNCT
ejpam-3892	16	20	,	,	PUNCT
ejpam-3892	16	21	qshahbaz@gmail.com	qshahbaz@gmail.com	X
ejpam-3892	16	22	(	(	PUNCT
ejpam-3892	16	23	m.	m.	PROPN
ejpam-3892	16	24	q.	q.	PROPN
ejpam-3892	16	25	shahbaz	shahbaz	PROPN
ejpam-3892	16	26	)	)	PUNCT
ejpam-3892	16	27	http://www.ejpam.com	http://www.ejpam.com	X
ejpam-3892	17	1	301	301	NUM
ejpam-3892	17	2	c	c	AUX
ejpam-3892	17	3	©	©	PROPN
ejpam-3892	17	4	2021	2021	NUM
ejpam-3892	17	5	ejpam	ejpam	VERB
ejpam-3892	17	6	all	all	DET
ejpam-3892	17	7	rights	right	NOUN
ejpam-3892	17	8	reserved	reserve	VERB
ejpam-3892	17	9	.	.	PUNCT
ejpam-3892	18	1	s.	s.	PROPN
ejpam-3892	18	2	h.	h.	PROPN
ejpam-3892	18	3	shahbaz	shahbaz	PROPN
ejpam-3892	18	4	,	,	PUNCT
ejpam-3892	18	5	m.	m.	NOUN
ejpam-3892	18	6	m.	m.	PROPN
ejpam-3892	18	7	rahman	rahman	PROPN
ejpam-3892	18	8	,	,	PUNCT
ejpam-3892	18	9	m.	m.	PROPN
ejpam-3892	18	10	q.	q.	PROPN
ejpam-3892	18	11	shahbaz	shahbaz	PROPN
ejpam-3892	18	12	/	/	SYM
ejpam-3892	18	13	eur	eur	PROPN
ejpam-3892	18	14	.	.	PUNCT
ejpam-3892	19	1	j.	j.	PROPN
ejpam-3892	19	2	pure	pure	PROPN
ejpam-3892	19	3	appl	appl	PROPN
ejpam-3892	19	4	.	.	PROPN
ejpam-3892	19	5	math	math	PROPN
ejpam-3892	19	6	,	,	PUNCT
ejpam-3892	19	7	14	14	NUM
ejpam-3892	19	8	(	(	PUNCT
ejpam-3892	19	9	1	1	NUM
ejpam-3892	19	10	)	)	PUNCT
ejpam-3892	19	11	(	(	PUNCT
ejpam-3892	19	12	2021	2021	NUM
ejpam-3892	19	13	)	)	PUNCT
ejpam-3892	19	14	,	,	PUNCT
ejpam-3892	19	15	301	301	NUM
ejpam-3892	19	16	-	-	SYM
ejpam-3892	19	17	313	313	NUM
ejpam-3892	19	18	302	302	NUM
ejpam-3892	19	19	of	of	ADP
ejpam-3892	19	20	density	density	NOUN
ejpam-3892	19	21	functions	function	NOUN
ejpam-3892	19	22	of	of	ADP
ejpam-3892	19	23	order	order	NOUN
ejpam-3892	19	24	statistics	statistic	NOUN
ejpam-3892	19	25	and	and	CCONJ
ejpam-3892	19	26	as	as	ADP
ejpam-3892	19	27	sum	sum	NOUN
ejpam-3892	19	28	of	of	ADP
ejpam-3892	19	29	density	density	NOUN
ejpam-3892	19	30	functions	function	NOUN
ejpam-3892	19	31	of	of	ADP
ejpam-3892	19	32	exponentiated	exponentiated	ADJ
ejpam-3892	19	33	distributions	distribution	NOUN
ejpam-3892	19	34	,	,	PUNCT
ejpam-3892	19	35	as	as	SCONJ
ejpam-3892	19	36	given	give	VERB
ejpam-3892	19	37	by	by	ADP
ejpam-3892	19	38	[	[	X
ejpam-3892	19	39	4	4	NUM
ejpam-3892	19	40	]	]	PUNCT
ejpam-3892	19	41	.	.	PUNCT
ejpam-3892	20	1	the	the	DET
ejpam-3892	20	2	density	density	NOUN
ejpam-3892	20	3	function	function	NOUN
ejpam-3892	20	4	(	(	PUNCT
ejpam-3892	20	5	2	2	NUM
ejpam-3892	20	6	)	)	PUNCT
ejpam-3892	20	7	as	as	ADP
ejpam-3892	20	8	sum	sum	NOUN
ejpam-3892	20	9	of	of	ADP
ejpam-3892	20	10	density	density	NOUN
ejpam-3892	20	11	functions	function	NOUN
ejpam-3892	20	12	of	of	ADP
ejpam-3892	20	13	order	order	NOUN
ejpam-3892	20	14	statistics	statistic	NOUN
ejpam-3892	20	15	is	be	AUX
ejpam-3892	20	16	fqt−g	fqt−g	NOUN
ejpam-3892	20	17	(	(	PUNCT
ejpam-3892	20	18	x	x	NOUN
ejpam-3892	20	19	)	)	PUNCT
ejpam-3892	20	20	=	=	SYM
ejpam-3892	20	21	(	(	PUNCT
ejpam-3892	20	22	1	1	NUM
ejpam-3892	20	23	+	+	NUM
ejpam-3892	20	24	δ	δ	PROPN
ejpam-3892	20	25	)	)	PUNCT
ejpam-3892	20	26	g1:1	g1:1	NOUN
ejpam-3892	20	27	(	(	PUNCT
ejpam-3892	20	28	x)−	x)−	PROPN
ejpam-3892	20	29	δg2:2	δg2:2	PROPN
ejpam-3892	20	30	(	(	PUNCT
ejpam-3892	20	31	x	x	NOUN
ejpam-3892	20	32	)	)	PUNCT
ejpam-3892	20	33	,	,	PUNCT
ejpam-3892	20	34	(	(	PUNCT
ejpam-3892	20	35	3	3	X
ejpam-3892	20	36	)	)	PUNCT
ejpam-3892	20	37	where	where	SCONJ
ejpam-3892	20	38	g1:1	g1:1	PROPN
ejpam-3892	20	39	(	(	PUNCT
ejpam-3892	20	40	x	x	X
ejpam-3892	20	41	)	)	PUNCT
ejpam-3892	20	42	is	be	AUX
ejpam-3892	20	43	density	density	NOUN
ejpam-3892	20	44	function	function	NOUN
ejpam-3892	20	45	of	of	ADP
ejpam-3892	20	46	first	first	ADJ
ejpam-3892	20	47	order	order	NOUN
ejpam-3892	20	48	statistics	statistic	NOUN
ejpam-3892	20	49	in	in	ADP
ejpam-3892	20	50	a	a	DET
ejpam-3892	20	51	sample	sample	NOUN
ejpam-3892	20	52	of	of	ADP
ejpam-3892	20	53	size	size	NOUN
ejpam-3892	20	54	1	1	NUM
ejpam-3892	20	55	and	and	CCONJ
ejpam-3892	20	56	g2:2	g2:2	NOUN
ejpam-3892	20	57	(	(	PUNCT
ejpam-3892	20	58	x	x	NOUN
ejpam-3892	20	59	)	)	PUNCT
ejpam-3892	20	60	is	be	AUX
ejpam-3892	20	61	density	density	NOUN
ejpam-3892	20	62	function	function	NOUN
ejpam-3892	20	63	of	of	ADP
ejpam-3892	20	64	second	second	ADJ
ejpam-3892	20	65	order	order	NOUN
ejpam-3892	20	66	statistics	statistic	NOUN
ejpam-3892	20	67	in	in	ADP
ejpam-3892	20	68	a	a	DET
ejpam-3892	20	69	sample	sample	NOUN
ejpam-3892	20	70	of	of	ADP
ejpam-3892	20	71	size	size	NOUN
ejpam-3892	20	72	2	2	NUM
ejpam-3892	20	73	.	.	PUNCT
ejpam-3892	21	1	we	we	PRON
ejpam-3892	21	2	can	can	AUX
ejpam-3892	21	3	see	see	VERB
ejpam-3892	21	4	that	that	SCONJ
ejpam-3892	21	5	the	the	DET
ejpam-3892	21	6	representation	representation	NOUN
ejpam-3892	21	7	(	(	PUNCT
ejpam-3892	21	8	3	3	X
ejpam-3892	21	9	)	)	PUNCT
ejpam-3892	21	10	is	be	AUX
ejpam-3892	21	11	actually	actually	ADV
ejpam-3892	21	12	weighted	weight	VERB
ejpam-3892	21	13	sum	sum	NOUN
ejpam-3892	21	14	of	of	ADP
ejpam-3892	21	15	density	density	NOUN
ejpam-3892	21	16	functions	function	NOUN
ejpam-3892	21	17	of	of	ADP
ejpam-3892	21	18	maximum	maximum	NOUN
ejpam-3892	21	19	in	in	ADP
ejpam-3892	21	20	sample	sample	NOUN
ejpam-3892	21	21	of	of	ADP
ejpam-3892	21	22	specific	specific	ADJ
ejpam-3892	21	23	sizes	size	NOUN
ejpam-3892	21	24	.	.	PUNCT
ejpam-3892	22	1	this	this	DET
ejpam-3892	22	2	representation	representation	NOUN
ejpam-3892	22	3	will	will	AUX
ejpam-3892	22	4	be	be	AUX
ejpam-3892	22	5	generalized	generalize	VERB
ejpam-3892	22	6	in	in	ADP
ejpam-3892	22	7	this	this	DET
ejpam-3892	22	8	paper	paper	NOUN
ejpam-3892	22	9	.	.	PUNCT
ejpam-3892	23	1	the	the	DET
ejpam-3892	23	2	transmuted	transmuted	ADJ
ejpam-3892	23	3	family	family	NOUN
ejpam-3892	23	4	of	of	ADP
ejpam-3892	23	5	distributions	distribution	NOUN
ejpam-3892	23	6	has	have	AUX
ejpam-3892	23	7	been	be	AUX
ejpam-3892	23	8	explored	explore	VERB
ejpam-3892	23	9	for	for	ADP
ejpam-3892	23	10	various	various	ADJ
ejpam-3892	23	11	baseline	baseline	NOUN
ejpam-3892	23	12	distributions	distribution	NOUN
ejpam-3892	23	13	by	by	ADP
ejpam-3892	23	14	many	many	ADJ
ejpam-3892	23	15	authors	author	NOUN
ejpam-3892	23	16	.	.	PUNCT
ejpam-3892	24	1	the	the	DET
ejpam-3892	24	2	transmuted	transmute	VERB
ejpam-3892	24	3	-	-	PUNCT
ejpam-3892	24	4	weibull	weibull	NOUN
ejpam-3892	24	5	distribution	distribution	NOUN
ejpam-3892	24	6	has	have	AUX
ejpam-3892	24	7	been	be	AUX
ejpam-3892	24	8	proposed	propose	VERB
ejpam-3892	24	9	by	by	ADP
ejpam-3892	24	10	[	[	X
ejpam-3892	24	11	6	6	NUM
ejpam-3892	24	12	]	]	PUNCT
ejpam-3892	24	13	by	by	ADP
ejpam-3892	24	14	using	use	VERB
ejpam-3892	24	15	weibull	weibull	NOUN
ejpam-3892	24	16	distribution	distribution	NOUN
ejpam-3892	24	17	as	as	ADP
ejpam-3892	24	18	baseline	baseline	ADJ
ejpam-3892	24	19	distribution	distribution	NOUN
ejpam-3892	24	20	in	in	ADP
ejpam-3892	24	21	(	(	PUNCT
ejpam-3892	24	22	1	1	NUM
ejpam-3892	24	23	)	)	PUNCT
ejpam-3892	24	24	.	.	PUNCT
ejpam-3892	25	1	the	the	DET
ejpam-3892	25	2	transmuted	transmute	VERB
ejpam-3892	25	3	-	-	PUNCT
ejpam-3892	25	4	kumaraswamy	kumaraswamy	NOUN
ejpam-3892	25	5	distribution	distribution	NOUN
ejpam-3892	25	6	has	have	AUX
ejpam-3892	25	7	been	be	AUX
ejpam-3892	25	8	proposed	propose	VERB
ejpam-3892	25	9	by	by	ADP
ejpam-3892	25	10	[	[	X
ejpam-3892	25	11	8	8	NUM
ejpam-3892	25	12	]	]	PUNCT
ejpam-3892	25	13	by	by	ADP
ejpam-3892	25	14	using	use	VERB
ejpam-3892	25	15	cdf	cdf	PROPN
ejpam-3892	25	16	of	of	ADP
ejpam-3892	25	17	kumaraswamy	kumaraswamy	ADJ
ejpam-3892	25	18	distribution	distribution	NOUN
ejpam-3892	25	19	as	as	ADP
ejpam-3892	25	20	baseline	baseline	ADJ
ejpam-3892	25	21	distribution	distribution	NOUN
ejpam-3892	25	22	in	in	ADP
ejpam-3892	25	23	(	(	PUNCT
ejpam-3892	25	24	1	1	NUM
ejpam-3892	25	25	)	)	PUNCT
ejpam-3892	25	26	.	.	PUNCT
ejpam-3892	26	1	some	some	DET
ejpam-3892	26	2	other	other	ADJ
ejpam-3892	26	3	notable	notable	ADJ
ejpam-3892	26	4	refrences	refrence	NOUN
ejpam-3892	26	5	on	on	ADP
ejpam-3892	26	6	transmuted	transmuted	ADJ
ejpam-3892	26	7	-	-	PUNCT
ejpam-3892	26	8	g	g	NOUN
ejpam-3892	26	9	family	family	NOUN
ejpam-3892	26	10	of	of	ADP
ejpam-3892	26	11	distributions	distribution	NOUN
ejpam-3892	26	12	are	be	AUX
ejpam-3892	26	13	[	[	X
ejpam-3892	26	14	9	9	NUM
ejpam-3892	26	15	]	]	PUNCT
ejpam-3892	26	16	,	,	PUNCT
ejpam-3892	26	17	[	[	X
ejpam-3892	26	18	10	10	NUM
ejpam-3892	26	19	]	]	PUNCT
ejpam-3892	26	20	,	,	PUNCT
ejpam-3892	26	21	[	[	X
ejpam-3892	26	22	11	11	NUM
ejpam-3892	26	23	]	]	PUNCT
ejpam-3892	26	24	among	among	ADP
ejpam-3892	26	25	others	other	NOUN
ejpam-3892	26	26	.	.	PUNCT
ejpam-3892	27	1	the	the	DET
ejpam-3892	27	2	transmuted	transmute	VERB
ejpam-3892	27	3	-	-	PUNCT
ejpam-3892	27	4	g	g	NOUN
ejpam-3892	27	5	family	family	NOUN
ejpam-3892	27	6	of	of	ADP
ejpam-3892	27	7	distributions	distribution	NOUN
ejpam-3892	27	8	has	have	AUX
ejpam-3892	27	9	been	be	AUX
ejpam-3892	27	10	extended	extend	VERB
ejpam-3892	27	11	to	to	ADP
ejpam-3892	27	12	cubic	cubic	ADJ
ejpam-3892	27	13	transmutation	transmutation	NOUN
ejpam-3892	27	14	by	by	ADP
ejpam-3892	27	15	[	[	X
ejpam-3892	27	16	7	7	NUM
ejpam-3892	27	17	]	]	PUNCT
ejpam-3892	27	18	,	,	PUNCT
ejpam-3892	27	19	[	[	X
ejpam-3892	27	20	12	12	NUM
ejpam-3892	27	21	]	]	PUNCT
ejpam-3892	27	22	and	and	CCONJ
ejpam-3892	27	23	[	[	X
ejpam-3892	27	24	13	13	NUM
ejpam-3892	27	25	]	]	PUNCT
ejpam-3892	27	26	.	.	PUNCT
ejpam-3892	28	1	the	the	DET
ejpam-3892	28	2	cdf	cdf	PROPN
ejpam-3892	28	3	’s	’s	NOUN
ejpam-3892	28	4	of	of	ADP
ejpam-3892	28	5	cubic	cubic	ADJ
ejpam-3892	28	6	transmuted	transmuted	ADJ
ejpam-3892	28	7	families	family	NOUN
ejpam-3892	28	8	of	of	ADP
ejpam-3892	28	9	distributions	distribution	NOUN
ejpam-3892	28	10	,	,	PUNCT
ejpam-3892	28	11	proposed	propose	VERB
ejpam-3892	28	12	by	by	ADP
ejpam-3892	28	13	[	[	X
ejpam-3892	28	14	12	12	NUM
ejpam-3892	28	15	]	]	PUNCT
ejpam-3892	28	16	and	and	CCONJ
ejpam-3892	28	17	[	[	X
ejpam-3892	28	18	13	13	NUM
ejpam-3892	28	19	]	]	PUNCT
ejpam-3892	28	20	are	be	AUX
ejpam-3892	28	21	fct1−g	fct1−g	PUNCT
ejpam-3892	28	22	(	(	PUNCT
ejpam-3892	28	23	x	x	NOUN
ejpam-3892	28	24	)	)	PUNCT
ejpam-3892	28	25	=	=	SYM
ejpam-3892	28	26	g	g	PROPN
ejpam-3892	28	27	(	(	PUNCT
ejpam-3892	28	28	x	x	NOUN
ejpam-3892	28	29	)	)	PUNCT
ejpam-3892	28	30	+	+	NUM
ejpam-3892	28	31	δ1	δ1	NOUN
ejpam-3892	28	32	g	g	NOUN
ejpam-3892	28	33	(	(	PUNCT
ejpam-3892	28	34	x	x	X
ejpam-3892	28	35	)	)	PUNCT
ejpam-3892	29	1	[	[	X
ejpam-3892	29	2	1−g	1−g	NUM
ejpam-3892	29	3	(	(	PUNCT
ejpam-3892	29	4	x	x	NOUN
ejpam-3892	29	5	)	)	PUNCT
ejpam-3892	29	6	]	]	PUNCT
ejpam-3892	30	1	+	+	CCONJ
ejpam-3892	30	2	δ2	δ2	VERB
ejpam-3892	30	3	g	g	NOUN
ejpam-3892	30	4	2	2	NUM
ejpam-3892	30	5	(	(	PUNCT
ejpam-3892	30	6	x	x	X
ejpam-3892	30	7	)	)	PUNCT
ejpam-3892	31	1	[	[	X
ejpam-3892	31	2	1−g	1−g	NUM
ejpam-3892	31	3	(	(	PUNCT
ejpam-3892	31	4	x	x	NOUN
ejpam-3892	31	5	)	)	PUNCT
ejpam-3892	31	6	]	]	PUNCT
ejpam-3892	31	7	(	(	PUNCT
ejpam-3892	31	8	4	4	NUM
ejpam-3892	31	9	)	)	PUNCT
ejpam-3892	31	10	and	and	CCONJ
ejpam-3892	31	11	fct2−g	fct2−g	PROPN
ejpam-3892	31	12	(	(	PUNCT
ejpam-3892	31	13	x	x	X
ejpam-3892	31	14	)	)	PUNCT
ejpam-3892	31	15	=	=	SYM
ejpam-3892	31	16	g	g	PROPN
ejpam-3892	31	17	(	(	PUNCT
ejpam-3892	31	18	x	x	NOUN
ejpam-3892	31	19	)	)	PUNCT
ejpam-3892	31	20	+	+	NUM
ejpam-3892	31	21	δ1	δ1	NOUN
ejpam-3892	31	22	g	g	NOUN
ejpam-3892	31	23	(	(	PUNCT
ejpam-3892	31	24	x	x	X
ejpam-3892	31	25	)	)	PUNCT
ejpam-3892	32	1	[	[	X
ejpam-3892	32	2	1−g	1−g	NUM
ejpam-3892	32	3	(	(	PUNCT
ejpam-3892	32	4	x	x	NOUN
ejpam-3892	32	5	)	)	PUNCT
ejpam-3892	32	6	]	]	PUNCT
ejpam-3892	32	7	+	+	CCONJ
ejpam-3892	32	8	δ2	δ2	VERB
ejpam-3892	32	9	g	g	NOUN
ejpam-3892	32	10	(	(	PUNCT
ejpam-3892	32	11	x	x	X
ejpam-3892	32	12	)	)	PUNCT
ejpam-3892	33	1	[	[	X
ejpam-3892	33	2	1−g	1−g	NUM
ejpam-3892	33	3	(	(	PUNCT
ejpam-3892	33	4	x)]2	x)]2	PROPN
ejpam-3892	33	5	,	,	PUNCT
ejpam-3892	33	6	(	(	PUNCT
ejpam-3892	33	7	5	5	X
ejpam-3892	33	8	)	)	PUNCT
ejpam-3892	33	9	where	where	SCONJ
ejpam-3892	33	10	δ1	δ1	NOUN
ejpam-3892	33	11	and	and	CCONJ
ejpam-3892	33	12	δ2	δ2	PROPN
ejpam-3892	33	13	are	be	AUX
ejpam-3892	33	14	transmutation	transmutation	NOUN
ejpam-3892	33	15	parameters	parameter	NOUN
ejpam-3892	33	16	such	such	ADJ
ejpam-3892	33	17	that	that	DET
ejpam-3892	33	18	−1	−1	NOUN
ejpam-3892	33	19	≤	≤	NOUN
ejpam-3892	33	20	(	(	PUNCT
ejpam-3892	33	21	δ1	δ1	NOUN
ejpam-3892	33	22	,	,	PUNCT
ejpam-3892	33	23	δ2	δ2	ADJ
ejpam-3892	33	24	)	)	PUNCT
ejpam-3892	33	25	≤	≤	NUM
ejpam-3892	33	26	2	2	NUM
ejpam-3892	33	27	and	and	CCONJ
ejpam-3892	33	28	−2	−2	NOUN
ejpam-3892	33	29	≤	≤	NUM
ejpam-3892	33	30	δ1	δ1	NOUN
ejpam-3892	33	31	+	+	CCONJ
ejpam-3892	33	32	δ2	δ2	ADJ
ejpam-3892	33	33	≤	≤	NOUN
ejpam-3892	33	34	1	1	NUM
ejpam-3892	33	35	for	for	ADP
ejpam-3892	33	36	(	(	PUNCT
ejpam-3892	33	37	4	4	NUM
ejpam-3892	33	38	)	)	PUNCT
ejpam-3892	33	39	.	.	PUNCT
ejpam-3892	34	1	also	also	ADV
ejpam-3892	34	2	for	for	ADP
ejpam-3892	34	3	(	(	PUNCT
ejpam-3892	34	4	5	5	X
ejpam-3892	34	5	)	)	PUNCT
ejpam-3892	34	6	the	the	DET
ejpam-3892	34	7	restrictions	restriction	NOUN
ejpam-3892	34	8	on	on	ADP
ejpam-3892	34	9	δ1	δ1	NOUN
ejpam-3892	34	10	and	and	CCONJ
ejpam-3892	34	11	δ2	δ2	PROPN
ejpam-3892	34	12	are	be	AUX
ejpam-3892	34	13	−2	−2	NOUN
ejpam-3892	34	14	≤	≤	NUM
ejpam-3892	34	15	(	(	PUNCT
ejpam-3892	34	16	δ1	δ1	NOUN
ejpam-3892	34	17	,	,	PUNCT
ejpam-3892	34	18	δ2	δ2	ADJ
ejpam-3892	34	19	)	)	PUNCT
ejpam-3892	34	20	≤	≤	NUM
ejpam-3892	34	21	1	1	NUM
ejpam-3892	34	22	and	and	CCONJ
ejpam-3892	34	23	−1	−1	NOUN
ejpam-3892	34	24	≤	≤	NUM
ejpam-3892	34	25	δ1	δ1	NOUN
ejpam-3892	34	26	+	+	CCONJ
ejpam-3892	34	27	δ2	δ2	VERB
ejpam-3892	34	28	≤	≤	NOUN
ejpam-3892	34	29	2	2	NUM
ejpam-3892	34	30	.	.	PUNCT
ejpam-3892	35	1	the	the	DET
ejpam-3892	35	2	density	density	NOUN
ejpam-3892	35	3	functions	function	NOUN
ejpam-3892	35	4	corresponding	correspond	VERB
ejpam-3892	35	5	to	to	ADP
ejpam-3892	35	6	(	(	PUNCT
ejpam-3892	35	7	4	4	NUM
ejpam-3892	35	8	)	)	PUNCT
ejpam-3892	35	9	and	and	CCONJ
ejpam-3892	35	10	(	(	PUNCT
ejpam-3892	35	11	5	5	X
ejpam-3892	35	12	)	)	PUNCT
ejpam-3892	35	13	are	be	AUX
ejpam-3892	35	14	fct1−g	fct1−g	PUNCT
ejpam-3892	35	15	(	(	PUNCT
ejpam-3892	35	16	x	x	NOUN
ejpam-3892	35	17	)	)	PUNCT
ejpam-3892	35	18	=	=	SYM
ejpam-3892	35	19	g	g	PROPN
ejpam-3892	35	20	(	(	PUNCT
ejpam-3892	35	21	x	x	NOUN
ejpam-3892	35	22	)	)	PUNCT
ejpam-3892	35	23	[	[	PUNCT
ejpam-3892	35	24	1	1	NUM
ejpam-3892	35	25	+	+	NUM
ejpam-3892	35	26	δ1	δ1	NOUN
ejpam-3892	35	27	+	+	CCONJ
ejpam-3892	35	28	2	2	NUM
ejpam-3892	35	29	(	(	PUNCT
ejpam-3892	35	30	δ2	δ2	VERB
ejpam-3892	35	31	−	−	NOUN
ejpam-3892	35	32	δ1)g	δ1)g	NOUN
ejpam-3892	35	33	(	(	PUNCT
ejpam-3892	35	34	x)−	x)−	PROPN
ejpam-3892	35	35	3δ2	3δ2	NUM
ejpam-3892	35	36	g	g	NOUN
ejpam-3892	35	37	2	2	NUM
ejpam-3892	35	38	(	(	PUNCT
ejpam-3892	35	39	x	x	NOUN
ejpam-3892	35	40	)	)	PUNCT
ejpam-3892	35	41	]	]	PUNCT
ejpam-3892	35	42	,	,	PUNCT
ejpam-3892	35	43	(	(	PUNCT
ejpam-3892	35	44	6	6	NUM
ejpam-3892	35	45	)	)	PUNCT
ejpam-3892	35	46	and	and	CCONJ
ejpam-3892	35	47	fct2−g	fct2−g	PROPN
ejpam-3892	35	48	(	(	PUNCT
ejpam-3892	35	49	x	x	X
ejpam-3892	35	50	)	)	PUNCT
ejpam-3892	35	51	=	=	SYM
ejpam-3892	35	52	g	g	PROPN
ejpam-3892	35	53	(	(	PUNCT
ejpam-3892	35	54	x	x	NOUN
ejpam-3892	35	55	)	)	PUNCT
ejpam-3892	35	56	[	[	PUNCT
ejpam-3892	35	57	(	(	PUNCT
ejpam-3892	35	58	1	1	NUM
ejpam-3892	35	59	+	+	NUM
ejpam-3892	35	60	δ1	δ1	NOUN
ejpam-3892	35	61	+	+	CCONJ
ejpam-3892	35	62	δ2)−	δ2)−	ADJ
ejpam-3892	35	63	2	2	NUM
ejpam-3892	35	64	(	(	PUNCT
ejpam-3892	35	65	δ1	δ1	NOUN
ejpam-3892	35	66	+	+	CCONJ
ejpam-3892	35	67	2δ2)g	2δ2)g	NUM
ejpam-3892	35	68	(	(	PUNCT
ejpam-3892	35	69	x	x	NOUN
ejpam-3892	35	70	)	)	PUNCT
ejpam-3892	35	71	+	+	NUM
ejpam-3892	35	72	3δ2	3δ2	NUM
ejpam-3892	35	73	g	g	NOUN
ejpam-3892	35	74	2	2	NUM
ejpam-3892	35	75	(	(	PUNCT
ejpam-3892	35	76	x	x	NOUN
ejpam-3892	35	77	)	)	PUNCT
ejpam-3892	35	78	]	]	PUNCT
ejpam-3892	35	79	.	.	PUNCT
ejpam-3892	36	1	(	(	PUNCT
ejpam-3892	36	2	7	7	X
ejpam-3892	36	3	)	)	PUNCT
ejpam-3892	36	4	we	we	PRON
ejpam-3892	36	5	can	can	AUX
ejpam-3892	36	6	see	see	VERB
ejpam-3892	36	7	that	that	SCONJ
ejpam-3892	36	8	families	family	NOUN
ejpam-3892	36	9	(	(	PUNCT
ejpam-3892	36	10	4	4	NUM
ejpam-3892	36	11	)	)	PUNCT
ejpam-3892	36	12	and	and	CCONJ
ejpam-3892	36	13	(	(	PUNCT
ejpam-3892	36	14	5	5	X
ejpam-3892	36	15	)	)	PUNCT
ejpam-3892	36	16	reduces	reduce	VERB
ejpam-3892	36	17	to	to	ADP
ejpam-3892	36	18	the	the	DET
ejpam-3892	36	19	transmuted	transmute	VERB
ejpam-3892	36	20	-	-	PUNCT
ejpam-3892	36	21	g	g	NOUN
ejpam-3892	36	22	family	family	NOUN
ejpam-3892	36	23	of	of	ADP
ejpam-3892	36	24	distributions	distribution	NOUN
ejpam-3892	36	25	,	,	PUNCT
ejpam-3892	36	26	proposed	propose	VERB
ejpam-3892	36	27	by	by	ADP
ejpam-3892	36	28	[	[	X
ejpam-3892	36	29	16	16	NUM
ejpam-3892	36	30	]	]	PUNCT
ejpam-3892	36	31	,	,	PUNCT
ejpam-3892	36	32	for	for	ADP
ejpam-3892	36	33	δ2	δ2	ADJ
ejpam-3892	36	34	=	=	SYM
ejpam-3892	36	35	0	0	NUM
ejpam-3892	36	36	.	.	PUNCT
ejpam-3892	37	1	the	the	DET
ejpam-3892	37	2	cubic	cubic	ADJ
ejpam-3892	37	3	transmuted	transmuted	ADJ
ejpam-3892	37	4	families	family	NOUN
ejpam-3892	37	5	of	of	ADP
ejpam-3892	37	6	distributions	distribution	NOUN
ejpam-3892	37	7	has	have	AUX
ejpam-3892	37	8	been	be	AUX
ejpam-3892	37	9	extended	extend	VERB
ejpam-3892	37	10	by	by	ADP
ejpam-3892	37	11	[	[	X
ejpam-3892	37	12	12	12	NUM
ejpam-3892	37	13	]	]	PUNCT
ejpam-3892	37	14	and	and	CCONJ
ejpam-3892	37	15	[	[	X
ejpam-3892	37	16	13	13	NUM
ejpam-3892	37	17	]	]	PUNCT
ejpam-3892	37	18	which	which	PRON
ejpam-3892	37	19	we	we	PRON
ejpam-3892	37	20	will	will	AUX
ejpam-3892	37	21	discuss	discuss	VERB
ejpam-3892	37	22	in	in	ADP
ejpam-3892	37	23	the	the	DET
ejpam-3892	37	24	following	follow	VERB
ejpam-3892	37	25	section	section	NOUN
ejpam-3892	37	26	.	.	PUNCT
ejpam-3892	38	1	2	2	X
ejpam-3892	38	2	.	.	X
ejpam-3892	38	3	general	general	ADJ
ejpam-3892	38	4	transmuted	transmute	VERB
ejpam-3892	38	5	-	-	PUNCT
ejpam-3892	38	6	g	g	NOUN
ejpam-3892	38	7	families	family	NOUN
ejpam-3892	38	8	the	the	DET
ejpam-3892	38	9	general	general	ADJ
ejpam-3892	38	10	transmuted	transmuted	ADJ
ejpam-3892	38	11	families	family	NOUN
ejpam-3892	38	12	of	of	ADP
ejpam-3892	38	13	distributions	distribution	NOUN
ejpam-3892	38	14	have	have	AUX
ejpam-3892	38	15	been	be	AUX
ejpam-3892	38	16	proposed	propose	VERB
ejpam-3892	38	17	by	by	ADP
ejpam-3892	38	18	[	[	X
ejpam-3892	38	19	12	12	NUM
ejpam-3892	38	20	]	]	PUNCT
ejpam-3892	38	21	and	and	CCONJ
ejpam-3892	38	22	[	[	X
ejpam-3892	38	23	13	13	NUM
ejpam-3892	38	24	]	]	PUNCT
ejpam-3892	38	25	as	as	ADP
ejpam-3892	38	26	an	an	DET
ejpam-3892	38	27	extension	extension	NOUN
ejpam-3892	38	28	of	of	ADP
ejpam-3892	38	29	(	(	PUNCT
ejpam-3892	38	30	4	4	NUM
ejpam-3892	38	31	)	)	PUNCT
ejpam-3892	38	32	and	and	CCONJ
ejpam-3892	38	33	(	(	PUNCT
ejpam-3892	38	34	5	5	NUM
ejpam-3892	38	35	)	)	PUNCT
ejpam-3892	38	36	.	.	PUNCT
ejpam-3892	39	1	the	the	DET
ejpam-3892	39	2	cdf	cdf	PROPN
ejpam-3892	39	3	of	of	ADP
ejpam-3892	39	4	general	general	ADJ
ejpam-3892	39	5	transmuted	transmuted	ADJ
ejpam-3892	39	6	family	family	NOUN
ejpam-3892	39	7	-	-	PUNCT
ejpam-3892	39	8	i	i	PRON
ejpam-3892	39	9	of	of	ADP
ejpam-3892	39	10	distributions	distribution	NOUN
ejpam-3892	39	11	(	(	PUNCT
ejpam-3892	39	12	gt1	gt1	NOUN
ejpam-3892	39	13	-	-	PUNCT
ejpam-3892	39	14	g	g	NOUN
ejpam-3892	39	15	)	)	PUNCT
ejpam-3892	39	16	,	,	PUNCT
ejpam-3892	39	17	which	which	PRON
ejpam-3892	39	18	extends	extend	VERB
ejpam-3892	39	19	(	(	PUNCT
ejpam-3892	39	20	4	4	NUM
ejpam-3892	39	21	)	)	PUNCT
ejpam-3892	39	22	,	,	PUNCT
ejpam-3892	39	23	is	be	AUX
ejpam-3892	39	24	fgt1−g	fgt1−g	NOUN
ejpam-3892	39	25	(	(	PUNCT
ejpam-3892	39	26	x	x	X
ejpam-3892	39	27	)	)	PUNCT
ejpam-3892	39	28	=	=	SYM
ejpam-3892	39	29	g	g	PROPN
ejpam-3892	39	30	(	(	PUNCT
ejpam-3892	39	31	x	x	NOUN
ejpam-3892	39	32	)	)	PUNCT
ejpam-3892	39	33	+	+	NUM
ejpam-3892	39	34	k∑	k∑	PROPN
ejpam-3892	40	1	m=1	m=1	PROPN
ejpam-3892	40	2	δmg	δmg	NOUN
ejpam-3892	40	3	m	m	PROPN
ejpam-3892	40	4	(	(	PUNCT
ejpam-3892	40	5	x	x	X
ejpam-3892	40	6	)	)	PUNCT
ejpam-3892	41	1	[	[	X
ejpam-3892	41	2	1−g	1−g	NUM
ejpam-3892	41	3	(	(	PUNCT
ejpam-3892	41	4	x	x	NOUN
ejpam-3892	41	5	)	)	PUNCT
ejpam-3892	41	6	]	]	PUNCT
ejpam-3892	41	7	,	,	PUNCT
ejpam-3892	41	8	x	x	PUNCT
ejpam-3892	41	9	∈	∈	PROPN
ejpam-3892	41	10	r	r	NOUN
ejpam-3892	41	11	,	,	PUNCT
ejpam-3892	41	12	(	(	PUNCT
ejpam-3892	41	13	8)	8)	NUM
ejpam-3892	41	14	s.	s.	PROPN
ejpam-3892	41	15	h.	h.	PROPN
ejpam-3892	41	16	shahbaz	shahbaz	PROPN
ejpam-3892	41	17	,	,	PUNCT
ejpam-3892	41	18	m.	m.	NOUN
ejpam-3892	41	19	m.	m.	PROPN
ejpam-3892	41	20	rahman	rahman	PROPN
ejpam-3892	41	21	,	,	PUNCT
ejpam-3892	41	22	m.	m.	PROPN
ejpam-3892	41	23	q.	q.	PROPN
ejpam-3892	41	24	shahbaz	shahbaz	PROPN
ejpam-3892	41	25	/	/	SYM
ejpam-3892	41	26	eur	eur	PROPN
ejpam-3892	41	27	.	.	PUNCT
ejpam-3892	42	1	j.	j.	PROPN
ejpam-3892	42	2	pure	pure	PROPN
ejpam-3892	42	3	appl	appl	PROPN
ejpam-3892	42	4	.	.	PROPN
ejpam-3892	42	5	math	math	PROPN
ejpam-3892	42	6	,	,	PUNCT
ejpam-3892	42	7	14	14	NUM
ejpam-3892	42	8	(	(	PUNCT
ejpam-3892	42	9	1	1	NUM
ejpam-3892	42	10	)	)	PUNCT
ejpam-3892	42	11	(	(	PUNCT
ejpam-3892	42	12	2021	2021	NUM
ejpam-3892	42	13	)	)	PUNCT
ejpam-3892	42	14	,	,	PUNCT
ejpam-3892	42	15	301	301	NUM
ejpam-3892	42	16	-	-	SYM
ejpam-3892	42	17	313	313	NUM
ejpam-3892	42	18	303	303	NUM
ejpam-3892	42	19	such	such	ADJ
ejpam-3892	42	20	that	that	DET
ejpam-3892	42	21	−1	−1	NOUN
ejpam-3892	42	22	≤	≤	NOUN
ejpam-3892	42	23	δm	δm	ADP
ejpam-3892	42	24	≤	≤	NUM
ejpam-3892	42	25	k	k	NOUN
ejpam-3892	42	26	and	and	CCONJ
ejpam-3892	42	27	−k	−k	PROPN
ejpam-3892	42	28	≤	≤	PUNCT
ejpam-3892	43	1	∑k	∑k	PROPN
ejpam-3892	43	2	m=1	m=1	X
ejpam-3892	44	1	δm	δm	ADV
ejpam-3892	44	2	≤	≤	NUM
ejpam-3892	44	3	1	1	NUM
ejpam-3892	44	4	.	.	PUNCT
ejpam-3892	45	1	the	the	DET
ejpam-3892	45	2	density	density	NOUN
ejpam-3892	45	3	function	function	NOUN
ejpam-3892	45	4	corresponding	correspond	VERB
ejpam-3892	45	5	to	to	ADP
ejpam-3892	45	6	(	(	PUNCT
ejpam-3892	45	7	8)	8)	NUM
ejpam-3892	45	8	is	be	AUX
ejpam-3892	45	9	fgt1−g	fgt1−g	NOUN
ejpam-3892	45	10	(	(	PUNCT
ejpam-3892	45	11	x	x	X
ejpam-3892	45	12	)	)	PUNCT
ejpam-3892	45	13	=	=	SYM
ejpam-3892	45	14	g	g	PROPN
ejpam-3892	45	15	(	(	PUNCT
ejpam-3892	45	16	x	x	NOUN
ejpam-3892	45	17	)	)	PUNCT
ejpam-3892	45	18	[	[	PUNCT
ejpam-3892	45	19	1−	1−	NUM
ejpam-3892	45	20	k∑	k∑	NOUN
ejpam-3892	45	21	m=1	m=1	X
ejpam-3892	45	22	(	(	PUNCT
ejpam-3892	45	23	m+	m+	NOUN
ejpam-3892	45	24	1	1	NUM
ejpam-3892	45	25	)	)	PUNCT
ejpam-3892	45	26	δmg	δmg	NOUN
ejpam-3892	45	27	m	m	PROPN
ejpam-3892	45	28	(	(	PUNCT
ejpam-3892	45	29	x	x	X
ejpam-3892	45	30	)	)	PUNCT
ejpam-3892	45	31	+	+	NUM
ejpam-3892	45	32	k∑	k∑	PROPN
ejpam-3892	45	33	m=1	m=1	PROPN
ejpam-3892	45	34	mδmg	mδmg	NOUN
ejpam-3892	45	35	m−1	m−1	PROPN
ejpam-3892	45	36	(	(	PUNCT
ejpam-3892	45	37	x	x	X
ejpam-3892	45	38	)	)	PUNCT
ejpam-3892	45	39	]	]	PUNCT
ejpam-3892	45	40	.	.	PUNCT
ejpam-3892	46	1	(	(	PUNCT
ejpam-3892	46	2	9	9	NUM
ejpam-3892	46	3	)	)	PUNCT
ejpam-3892	46	4	also	also	ADV
ejpam-3892	46	5	,	,	PUNCT
ejpam-3892	46	6	the	the	DET
ejpam-3892	46	7	cdf	cdf	PROPN
ejpam-3892	46	8	of	of	ADP
ejpam-3892	46	9	general	general	ADJ
ejpam-3892	46	10	transmuted	transmuted	ADJ
ejpam-3892	46	11	family	family	NOUN
ejpam-3892	46	12	-	-	PUNCT
ejpam-3892	46	13	ii	ii	NOUN
ejpam-3892	46	14	of	of	ADP
ejpam-3892	46	15	distributions	distribution	NOUN
ejpam-3892	46	16	(	(	PUNCT
ejpam-3892	46	17	gt2	gt2	PROPN
ejpam-3892	46	18	-	-	PUNCT
ejpam-3892	46	19	g	g	NOUN
ejpam-3892	46	20	)	)	PUNCT
ejpam-3892	46	21	,	,	PUNCT
ejpam-3892	46	22	which	which	PRON
ejpam-3892	46	23	extends	extend	VERB
ejpam-3892	46	24	(	(	PUNCT
ejpam-3892	46	25	5	5	NUM
ejpam-3892	46	26	)	)	PUNCT
ejpam-3892	46	27	,	,	PUNCT
ejpam-3892	46	28	is	be	AUX
ejpam-3892	46	29	fgt2−g	fgt2−g	NOUN
ejpam-3892	46	30	(	(	PUNCT
ejpam-3892	46	31	x	x	X
ejpam-3892	46	32	)	)	PUNCT
ejpam-3892	46	33	=	=	SYM
ejpam-3892	46	34	g	g	PROPN
ejpam-3892	46	35	(	(	PUNCT
ejpam-3892	46	36	x	x	NOUN
ejpam-3892	46	37	)	)	PUNCT
ejpam-3892	46	38	+	+	CCONJ
ejpam-3892	46	39	k∑	k∑	PROPN
ejpam-3892	46	40	m=1	m=1	PROPN
ejpam-3892	46	41	δmg	δmg	NOUN
ejpam-3892	46	42	(	(	PUNCT
ejpam-3892	46	43	x	x	X
ejpam-3892	46	44	)	)	PUNCT
ejpam-3892	47	1	[	[	X
ejpam-3892	47	2	1−g	1−g	NUM
ejpam-3892	47	3	(	(	PUNCT
ejpam-3892	47	4	x)]m	x)]m	NOUN
ejpam-3892	47	5	,	,	PUNCT
ejpam-3892	47	6	x	x	X
ejpam-3892	47	7	∈	∈	PROPN
ejpam-3892	47	8	r	r	NOUN
ejpam-3892	47	9	,	,	PUNCT
ejpam-3892	47	10	(	(	PUNCT
ejpam-3892	47	11	10	10	NUM
ejpam-3892	47	12	)	)	PUNCT
ejpam-3892	47	13	such	such	ADJ
ejpam-3892	47	14	that	that	SCONJ
ejpam-3892	47	15	−k	−k	VERB
ejpam-3892	47	16	≤	≤	VERB
ejpam-3892	47	17	δm	δm	ADP
ejpam-3892	47	18	≤	≤	NUM
ejpam-3892	47	19	1	1	NUM
ejpam-3892	47	20	and	and	CCONJ
ejpam-3892	47	21	−1	−1	NOUN
ejpam-3892	47	22	≤	≤	PUNCT
ejpam-3892	48	1	∑k	∑k	PROPN
ejpam-3892	48	2	m=1	m=1	X
ejpam-3892	49	1	δm	δm	ADP
ejpam-3892	49	2	≤	≤	PROPN
ejpam-3892	49	3	k.	k.	VERB
ejpam-3892	50	1	the	the	DET
ejpam-3892	50	2	density	density	NOUN
ejpam-3892	50	3	function	function	NOUN
ejpam-3892	50	4	corresponding	correspond	VERB
ejpam-3892	50	5	to	to	ADP
ejpam-3892	50	6	(	(	PUNCT
ejpam-3892	50	7	10	10	NUM
ejpam-3892	50	8	)	)	PUNCT
ejpam-3892	50	9	is	be	AUX
ejpam-3892	50	10	fgt2−g	fgt2−g	PROPN
ejpam-3892	50	11	(	(	PUNCT
ejpam-3892	50	12	x	x	X
ejpam-3892	50	13	)	)	PUNCT
ejpam-3892	50	14	=	=	SYM
ejpam-3892	50	15	g	g	PROPN
ejpam-3892	50	16	(	(	PUNCT
ejpam-3892	50	17	x	x	NOUN
ejpam-3892	50	18	)	)	PUNCT
ejpam-3892	50	19	[	[	PUNCT
ejpam-3892	50	20	1	1	NUM
ejpam-3892	50	21	+	+	NUM
ejpam-3892	50	22	k∑	k∑	NOUN
ejpam-3892	51	1	m=1	m=1	X
ejpam-3892	51	2	δm	δm	INTJ
ejpam-3892	51	3	{	{	PUNCT
ejpam-3892	51	4	1−g	1−g	NUM
ejpam-3892	51	5	(	(	PUNCT
ejpam-3892	51	6	x)}m	x)}m	NUM
ejpam-3892	51	7	−	−	PROPN
ejpam-3892	51	8	k∑	k∑	PROPN
ejpam-3892	52	1	m=1	m=1	PROPN
ejpam-3892	52	2	mδmg	mδmg	NOUN
ejpam-3892	52	3	(	(	PUNCT
ejpam-3892	52	4	x	x	X
ejpam-3892	52	5	)	)	PUNCT
ejpam-3892	52	6	{	{	PUNCT
ejpam-3892	52	7	1−g	1−g	NUM
ejpam-3892	52	8	(	(	PUNCT
ejpam-3892	52	9	x)}m−1	x)}m−1	PROPN
ejpam-3892	52	10	]	]	PUNCT
ejpam-3892	52	11	.	.	PUNCT
ejpam-3892	53	1	(	(	PUNCT
ejpam-3892	53	2	11	11	NUM
ejpam-3892	53	3	)	)	PUNCT
ejpam-3892	53	4	the	the	DET
ejpam-3892	53	5	general	general	ADJ
ejpam-3892	53	6	transmuted	transmuted	ADJ
ejpam-3892	53	7	families	family	NOUN
ejpam-3892	53	8	of	of	ADP
ejpam-3892	53	9	distributions	distribution	NOUN
ejpam-3892	53	10	(	(	PUNCT
ejpam-3892	53	11	8)	8)	NUM
ejpam-3892	53	12	and	and	CCONJ
ejpam-3892	53	13	(	(	PUNCT
ejpam-3892	53	14	10	10	NUM
ejpam-3892	53	15	)	)	PUNCT
ejpam-3892	53	16	reduces	reduce	VERB
ejpam-3892	53	17	to	to	PART
ejpam-3892	53	18	transmuted	transmuted	ADJ
ejpam-3892	53	19	family	family	NOUN
ejpam-3892	53	20	of	of	ADP
ejpam-3892	53	21	distributions	distribution	NOUN
ejpam-3892	53	22	(	(	PUNCT
ejpam-3892	53	23	1	1	NUM
ejpam-3892	53	24	)	)	PUNCT
ejpam-3892	53	25	for	for	ADP
ejpam-3892	53	26	k	k	PROPN
ejpam-3892	53	27	=	=	SYM
ejpam-3892	53	28	1	1	X
ejpam-3892	53	29	.	.	PUNCT
ejpam-3892	54	1	it	it	PRON
ejpam-3892	54	2	is	be	AUX
ejpam-3892	54	3	also	also	ADV
ejpam-3892	54	4	to	to	PART
ejpam-3892	54	5	be	be	AUX
ejpam-3892	54	6	noted	note	VERB
ejpam-3892	54	7	that	that	SCONJ
ejpam-3892	54	8	the	the	DET
ejpam-3892	54	9	family	family	NOUN
ejpam-3892	54	10	of	of	ADP
ejpam-3892	54	11	distributions	distribution	NOUN
ejpam-3892	54	12	(	(	PUNCT
ejpam-3892	54	13	4	4	NUM
ejpam-3892	54	14	)	)	PUNCT
ejpam-3892	54	15	and	and	CCONJ
ejpam-3892	54	16	(	(	PUNCT
ejpam-3892	54	17	5	5	X
ejpam-3892	54	18	)	)	PUNCT
ejpam-3892	54	19	appear	appear	VERB
ejpam-3892	54	20	as	as	ADP
ejpam-3892	54	21	a	a	DET
ejpam-3892	54	22	special	special	ADJ
ejpam-3892	54	23	case	case	NOUN
ejpam-3892	54	24	of	of	ADP
ejpam-3892	54	25	families	family	NOUN
ejpam-3892	54	26	(	(	PUNCT
ejpam-3892	54	27	8)	8)	NUM
ejpam-3892	54	28	and	and	CCONJ
ejpam-3892	54	29	(	(	PUNCT
ejpam-3892	54	30	10	10	NUM
ejpam-3892	54	31	)	)	PUNCT
ejpam-3892	54	32	,	,	PUNCT
ejpam-3892	54	33	respectively	respectively	ADV
ejpam-3892	54	34	,	,	PUNCT
ejpam-3892	54	35	for	for	ADP
ejpam-3892	54	36	k	k	PROPN
ejpam-3892	54	37	=	=	SYM
ejpam-3892	54	38	2	2	X
ejpam-3892	54	39	.	.	PUNCT
ejpam-3892	55	1	in	in	ADP
ejpam-3892	55	2	this	this	DET
ejpam-3892	55	3	paper	paper	NOUN
ejpam-3892	55	4	we	we	PRON
ejpam-3892	55	5	have	have	AUX
ejpam-3892	55	6	given	give	VERB
ejpam-3892	55	7	some	some	DET
ejpam-3892	55	8	general	general	ADJ
ejpam-3892	55	9	results	result	NOUN
ejpam-3892	55	10	for	for	ADP
ejpam-3892	55	11	general	general	ADJ
ejpam-3892	55	12	transmuted	transmuted	ADJ
ejpam-3892	55	13	families	family	NOUN
ejpam-3892	55	14	of	of	ADP
ejpam-3892	55	15	distributions	distribution	NOUN
ejpam-3892	55	16	including	include	VERB
ejpam-3892	55	17	representation	representation	NOUN
ejpam-3892	55	18	as	as	ADP
ejpam-3892	55	19	t	t	PROPN
ejpam-3892	55	20	−	−	PROPN
ejpam-3892	55	21	x	x	SYM
ejpam-3892	55	22	family	family	NOUN
ejpam-3892	55	23	of	of	ADP
ejpam-3892	55	24	distributions	distribution	NOUN
ejpam-3892	55	25	,	,	PUNCT
ejpam-3892	55	26	proposed	propose	VERB
ejpam-3892	55	27	by	by	ADP
ejpam-3892	55	28	[	[	X
ejpam-3892	55	29	2	2	NUM
ejpam-3892	55	30	]	]	PUNCT
ejpam-3892	55	31	.	.	PUNCT
ejpam-3892	56	1	in	in	ADP
ejpam-3892	56	2	section	section	NOUN
ejpam-3892	56	3	3.2	3.2	NUM
ejpam-3892	56	4	the	the	DET
ejpam-3892	56	5	general	general	ADJ
ejpam-3892	56	6	transmuted	transmuted	ADJ
ejpam-3892	56	7	families	family	NOUN
ejpam-3892	56	8	of	of	ADP
ejpam-3892	56	9	distributions	distribution	NOUN
ejpam-3892	56	10	are	be	AUX
ejpam-3892	56	11	represented	represent	VERB
ejpam-3892	56	12	as	as	ADP
ejpam-3892	56	13	distribution	distribution	NOUN
ejpam-3892	56	14	of	of	ADP
ejpam-3892	56	15	order	order	NOUN
ejpam-3892	56	16	statistics	statistic	NOUN
ejpam-3892	56	17	and	and	CCONJ
ejpam-3892	56	18	the	the	DET
ejpam-3892	56	19	moments	moment	NOUN
ejpam-3892	56	20	of	of	ADP
ejpam-3892	56	21	the	the	DET
ejpam-3892	56	22	families	family	NOUN
ejpam-3892	56	23	are	be	AUX
ejpam-3892	56	24	obtained	obtain	VERB
ejpam-3892	56	25	as	as	ADP
ejpam-3892	56	26	moments	moment	NOUN
ejpam-3892	56	27	of	of	ADP
ejpam-3892	56	28	order	order	NOUN
ejpam-3892	56	29	statistics	statistic	NOUN
ejpam-3892	56	30	from	from	ADP
ejpam-3892	56	31	parent	parent	NOUN
ejpam-3892	56	32	distribution	distribution	NOUN
ejpam-3892	56	33	in	in	ADP
ejpam-3892	56	34	section	section	NOUN
ejpam-3892	56	35	3.3	3.3	NUM
ejpam-3892	56	36	.	.	PUNCT
ejpam-3892	57	1	estimation	estimation	NOUN
ejpam-3892	57	2	framework	framework	NOUN
ejpam-3892	57	3	is	be	AUX
ejpam-3892	57	4	discussed	discuss	VERB
ejpam-3892	57	5	in	in	ADP
ejpam-3892	57	6	section	section	NOUN
ejpam-3892	57	7	3.4	3.4	NUM
ejpam-3892	57	8	.	.	PUNCT
ejpam-3892	58	1	section	section	NOUN
ejpam-3892	58	2	4	4	NUM
ejpam-3892	58	3	contains	contain	VERB
ejpam-3892	58	4	some	some	DET
ejpam-3892	58	5	examples	example	NOUN
ejpam-3892	58	6	of	of	ADP
ejpam-3892	58	7	general	general	ADJ
ejpam-3892	58	8	transmuted	transmuted	ADJ
ejpam-3892	58	9	distributions	distribution	NOUN
ejpam-3892	58	10	.	.	PUNCT
ejpam-3892	59	1	conclusions	conclusion	NOUN
ejpam-3892	59	2	and	and	CCONJ
ejpam-3892	59	3	recommendations	recommendation	NOUN
ejpam-3892	59	4	are	be	AUX
ejpam-3892	59	5	given	give	VERB
ejpam-3892	59	6	in	in	ADP
ejpam-3892	59	7	section	section	NOUN
ejpam-3892	59	8	5	5	NUM
ejpam-3892	59	9	.	.	NOUN
ejpam-3892	59	10	3	3	NUM
ejpam-3892	59	11	.	.	X
ejpam-3892	59	12	general	general	ADJ
ejpam-3892	59	13	results	result	NOUN
ejpam-3892	59	14	for	for	ADP
ejpam-3892	59	15	general	general	ADJ
ejpam-3892	59	16	transmuted	transmuted	ADJ
ejpam-3892	59	17	families	family	NOUN
ejpam-3892	59	18	in	in	ADP
ejpam-3892	59	19	this	this	DET
ejpam-3892	59	20	section	section	NOUN
ejpam-3892	59	21	we	we	PRON
ejpam-3892	59	22	have	have	AUX
ejpam-3892	59	23	given	give	VERB
ejpam-3892	59	24	some	some	DET
ejpam-3892	59	25	general	general	ADJ
ejpam-3892	59	26	results	result	NOUN
ejpam-3892	59	27	for	for	ADP
ejpam-3892	59	28	general	general	ADJ
ejpam-3892	59	29	transmuted	transmuted	ADJ
ejpam-3892	59	30	families	family	NOUN
ejpam-3892	59	31	of	of	ADP
ejpam-3892	59	32	distributions	distribution	NOUN
ejpam-3892	59	33	given	give	VERB
ejpam-3892	59	34	in	in	ADP
ejpam-3892	59	35	(	(	PUNCT
ejpam-3892	59	36	8)	8)	NUM
ejpam-3892	59	37	and	and	CCONJ
ejpam-3892	59	38	(	(	PUNCT
ejpam-3892	59	39	10	10	NUM
ejpam-3892	59	40	)	)	PUNCT
ejpam-3892	59	41	.	.	PUNCT
ejpam-3892	60	1	these	these	DET
ejpam-3892	60	2	results	result	NOUN
ejpam-3892	60	3	are	be	AUX
ejpam-3892	60	4	given	give	VERB
ejpam-3892	60	5	in	in	ADP
ejpam-3892	60	6	the	the	DET
ejpam-3892	60	7	following	follow	VERB
ejpam-3892	60	8	sub	sub	NOUN
ejpam-3892	60	9	-	-	NOUN
ejpam-3892	60	10	sections	section	NOUN
ejpam-3892	60	11	.	.	PUNCT
ejpam-3892	61	1	3.1	3.1	NUM
ejpam-3892	61	2	.	.	PUNCT
ejpam-3892	61	3	representation	representation	NOUN
ejpam-3892	61	4	as	as	ADP
ejpam-3892	61	5	member	member	NOUN
ejpam-3892	61	6	of	of	ADP
ejpam-3892	61	7	t	t	PROPN
ejpam-3892	61	8	−x	−x	PROPN
ejpam-3892	61	9	family	family	NOUN
ejpam-3892	61	10	the	the	DET
ejpam-3892	61	11	t−x	t−x	PROPN
ejpam-3892	61	12	family	family	NOUN
ejpam-3892	61	13	of	of	ADP
ejpam-3892	61	14	distributions	distribution	NOUN
ejpam-3892	61	15	have	have	AUX
ejpam-3892	61	16	been	be	AUX
ejpam-3892	61	17	proposed	propose	VERB
ejpam-3892	61	18	by	by	ADP
ejpam-3892	61	19	[	[	X
ejpam-3892	61	20	2	2	NUM
ejpam-3892	61	21	]	]	PUNCT
ejpam-3892	61	22	as	as	ADP
ejpam-3892	61	23	a	a	DET
ejpam-3892	61	24	method	method	NOUN
ejpam-3892	61	25	of	of	ADP
ejpam-3892	61	26	generalizing	generalize	VERB
ejpam-3892	61	27	the	the	DET
ejpam-3892	61	28	probability	probability	NOUN
ejpam-3892	61	29	distributions	distribution	NOUN
ejpam-3892	61	30	.	.	PUNCT
ejpam-3892	62	1	the	the	DET
ejpam-3892	62	2	cdf	cdf	PROPN
ejpam-3892	62	3	of	of	ADP
ejpam-3892	62	4	t	t	PROPN
ejpam-3892	62	5	−x	−x	PROPN
ejpam-3892	62	6	family	family	NOUN
ejpam-3892	62	7	of	of	ADP
ejpam-3892	62	8	distributions	distribution	NOUN
ejpam-3892	62	9	is	be	AUX
ejpam-3892	62	10	ft−x	ft−x	PROPN
ejpam-3892	62	11	(	(	PUNCT
ejpam-3892	62	12	x	x	X
ejpam-3892	62	13	)	)	PUNCT
ejpam-3892	62	14	=	=	SYM
ejpam-3892	63	1	∫	∫	PROPN
ejpam-3892	63	2	w	w	PROPN
ejpam-3892	64	1	[	[	X
ejpam-3892	64	2	g(x	g(x	NOUN
ejpam-3892	64	3	)	)	PUNCT
ejpam-3892	64	4	]	]	PUNCT
ejpam-3892	65	1	a	a	DET
ejpam-3892	65	2	r	r	NOUN
ejpam-3892	65	3	(	(	PUNCT
ejpam-3892	65	4	t	t	NOUN
ejpam-3892	65	5	)	)	PUNCT
ejpam-3892	65	6	dt	dt	NOUN
ejpam-3892	65	7	,	,	PUNCT
ejpam-3892	65	8	(	(	PUNCT
ejpam-3892	65	9	12	12	NUM
ejpam-3892	65	10	)	)	PUNCT
ejpam-3892	65	11	s.	s.	PROPN
ejpam-3892	65	12	h.	h.	PROPN
ejpam-3892	65	13	shahbaz	shahbaz	PROPN
ejpam-3892	65	14	,	,	PUNCT
ejpam-3892	65	15	m.	m.	NOUN
ejpam-3892	65	16	m.	m.	PROPN
ejpam-3892	65	17	rahman	rahman	PROPN
ejpam-3892	65	18	,	,	PUNCT
ejpam-3892	65	19	m.	m.	PROPN
ejpam-3892	65	20	q.	q.	PROPN
ejpam-3892	65	21	shahbaz	shahbaz	PROPN
ejpam-3892	65	22	/	/	SYM
ejpam-3892	65	23	eur	eur	PROPN
ejpam-3892	65	24	.	.	PUNCT
ejpam-3892	66	1	j.	j.	PROPN
ejpam-3892	66	2	pure	pure	PROPN
ejpam-3892	66	3	appl	appl	PROPN
ejpam-3892	66	4	.	.	PROPN
ejpam-3892	66	5	math	math	PROPN
ejpam-3892	66	6	,	,	PUNCT
ejpam-3892	66	7	14	14	NUM
ejpam-3892	66	8	(	(	PUNCT
ejpam-3892	66	9	1	1	NUM
ejpam-3892	66	10	)	)	PUNCT
ejpam-3892	66	11	(	(	PUNCT
ejpam-3892	66	12	2021	2021	NUM
ejpam-3892	66	13	)	)	PUNCT
ejpam-3892	66	14	,	,	PUNCT
ejpam-3892	66	15	301	301	NUM
ejpam-3892	66	16	-	-	SYM
ejpam-3892	66	17	313	313	NUM
ejpam-3892	66	18	304	304	NUM
ejpam-3892	66	19	where	where	SCONJ
ejpam-3892	66	20	w	w	ADP
ejpam-3892	66	21	[	[	X
ejpam-3892	66	22	g	g	X
ejpam-3892	66	23	(	(	PUNCT
ejpam-3892	66	24	x	x	NOUN
ejpam-3892	66	25	)	)	PUNCT
ejpam-3892	66	26	]	]	PUNCT
ejpam-3892	66	27	is	be	AUX
ejpam-3892	66	28	some	some	DET
ejpam-3892	66	29	function	function	NOUN
ejpam-3892	66	30	of	of	ADP
ejpam-3892	66	31	g	g	PROPN
ejpam-3892	66	32	(	(	PUNCT
ejpam-3892	66	33	x	x	X
ejpam-3892	66	34	)	)	PUNCT
ejpam-3892	66	35	which	which	PRON
ejpam-3892	66	36	satisfies	satisfy	VERB
ejpam-3892	66	37	some	some	DET
ejpam-3892	66	38	regularity	regularity	NOUN
ejpam-3892	66	39	conditions	condition	NOUN
ejpam-3892	66	40	as	as	SCONJ
ejpam-3892	66	41	given	give	VERB
ejpam-3892	66	42	in	in	ADP
ejpam-3892	66	43	[	[	X
ejpam-3892	66	44	2	2	NUM
ejpam-3892	66	45	]	]	PUNCT
ejpam-3892	66	46	and	and	CCONJ
ejpam-3892	66	47	r	r	NOUN
ejpam-3892	66	48	(	(	PUNCT
ejpam-3892	66	49	t	t	NOUN
ejpam-3892	66	50	)	)	PUNCT
ejpam-3892	66	51	is	be	AUX
ejpam-3892	66	52	density	density	NOUN
ejpam-3892	66	53	function	function	NOUN
ejpam-3892	66	54	of	of	ADP
ejpam-3892	66	55	some	some	DET
ejpam-3892	66	56	random	random	ADJ
ejpam-3892	66	57	variable	variable	NOUN
ejpam-3892	66	58	t	t	NOUN
ejpam-3892	66	59	defined	define	VERB
ejpam-3892	66	60	on	on	ADP
ejpam-3892	66	61	[	[	X
ejpam-3892	66	62	a	a	X
ejpam-3892	66	63	,	,	PUNCT
ejpam-3892	66	64	b	b	NOUN
ejpam-3892	66	65	]	]	X
ejpam-3892	66	66	,	,	PUNCT
ejpam-3892	66	67	where	where	SCONJ
ejpam-3892	66	68	a	a	PRON
ejpam-3892	66	69	can	can	AUX
ejpam-3892	66	70	be	be	AUX
ejpam-3892	66	71	−∞	−∞	X
ejpam-3892	66	72	and	and	CCONJ
ejpam-3892	66	73	b	b	NOUN
ejpam-3892	66	74	can	can	AUX
ejpam-3892	66	75	be	be	AUX
ejpam-3892	66	76	+	+	ADV
ejpam-3892	66	77	∞.	∞.	PROPN
ejpam-3892	66	78	since	since	SCONJ
ejpam-3892	66	79	the	the	DET
ejpam-3892	66	80	emergence	emergence	NOUN
ejpam-3892	66	81	of	of	ADP
ejpam-3892	66	82	t	t	NOUN
ejpam-3892	66	83	−	−	PROPN
ejpam-3892	66	84	x	x	SYM
ejpam-3892	66	85	family	family	NOUN
ejpam-3892	66	86	of	of	ADP
ejpam-3892	66	87	distributions	distribution	NOUN
ejpam-3892	66	88	,	,	PUNCT
ejpam-3892	66	89	(	(	PUNCT
ejpam-3892	66	90	12	12	NUM
ejpam-3892	66	91	)	)	PUNCT
ejpam-3892	66	92	,	,	PUNCT
ejpam-3892	66	93	several	several	ADJ
ejpam-3892	66	94	authors	author	NOUN
ejpam-3892	66	95	have	have	AUX
ejpam-3892	66	96	explored	explore	VERB
ejpam-3892	66	97	this	this	DET
ejpam-3892	66	98	family	family	NOUN
ejpam-3892	66	99	for	for	ADP
ejpam-3892	66	100	various	various	ADJ
ejpam-3892	66	101	combinations	combination	NOUN
ejpam-3892	66	102	of	of	ADP
ejpam-3892	66	103	t	t	PROPN
ejpam-3892	66	104	and	and	CCONJ
ejpam-3892	66	105	x.	x.	NOUN
ejpam-3892	66	106	it	it	PRON
ejpam-3892	66	107	has	have	AUX
ejpam-3892	66	108	been	be	AUX
ejpam-3892	66	109	noted	note	VERB
ejpam-3892	66	110	by	by	ADP
ejpam-3892	66	111	[	[	X
ejpam-3892	66	112	1	1	NUM
ejpam-3892	66	113	]	]	PUNCT
ejpam-3892	66	114	that	that	SCONJ
ejpam-3892	66	115	the	the	DET
ejpam-3892	66	116	transmuted	transmuted	ADJ
ejpam-3892	66	117	family	family	NOUN
ejpam-3892	66	118	of	of	ADP
ejpam-3892	66	119	distributions	distribution	NOUN
ejpam-3892	66	120	(	(	PUNCT
ejpam-3892	66	121	1	1	X
ejpam-3892	66	122	)	)	PUNCT
ejpam-3892	66	123	can	can	AUX
ejpam-3892	66	124	be	be	AUX
ejpam-3892	66	125	represented	represent	VERB
ejpam-3892	66	126	as	as	ADP
ejpam-3892	66	127	a	a	DET
ejpam-3892	66	128	member	member	NOUN
ejpam-3892	66	129	of	of	ADP
ejpam-3892	66	130	t	t	PROPN
ejpam-3892	66	131	−x	−x	PROPN
ejpam-3892	66	132	family	family	NOUN
ejpam-3892	66	133	of	of	ADP
ejpam-3892	66	134	distributions	distribution	NOUN
ejpam-3892	66	135	by	by	ADP
ejpam-3892	66	136	using	use	VERB
ejpam-3892	66	137	r	r	NOUN
ejpam-3892	66	138	(	(	PUNCT
ejpam-3892	66	139	t	t	NOUN
ejpam-3892	66	140	)	)	PUNCT
ejpam-3892	66	141	=	=	SYM
ejpam-3892	67	1	1	1	NUM
ejpam-3892	67	2	+	+	NUM
ejpam-3892	67	3	δ	δ	NOUN
ejpam-3892	67	4	−	−	NOUN
ejpam-3892	67	5	2δt	2δt	NOUN
ejpam-3892	67	6	,	,	PUNCT
ejpam-3892	67	7	0	0	PUNCT
ejpam-3892	67	8	<	<	X
ejpam-3892	67	9	t	t	X
ejpam-3892	67	10	<	<	X
ejpam-3892	67	11	1	1	NUM
ejpam-3892	67	12	and	and	CCONJ
ejpam-3892	67	13	w	w	NOUN
ejpam-3892	68	1	[	[	X
ejpam-3892	68	2	g	g	X
ejpam-3892	68	3	(	(	PUNCT
ejpam-3892	68	4	x	x	NOUN
ejpam-3892	68	5	)	)	PUNCT
ejpam-3892	68	6	]	]	PUNCT
ejpam-3892	68	7	=	=	PUNCT
ejpam-3892	68	8	g	g	PROPN
ejpam-3892	68	9	(	(	PUNCT
ejpam-3892	68	10	x	x	NOUN
ejpam-3892	68	11	)	)	PUNCT
ejpam-3892	68	12	in	in	ADP
ejpam-3892	68	13	(	(	PUNCT
ejpam-3892	68	14	12	12	NUM
ejpam-3892	68	15	)	)	PUNCT
ejpam-3892	68	16	,	,	PUNCT
ejpam-3892	68	17	that	that	PRON
ejpam-3892	68	18	is	be	AUX
ejpam-3892	68	19	the	the	DET
ejpam-3892	68	20	transmuted	transmuted	ADJ
ejpam-3892	68	21	family	family	NOUN
ejpam-3892	68	22	of	of	ADP
ejpam-3892	68	23	distribution	distribution	NOUN
ejpam-3892	68	24	is	be	AUX
ejpam-3892	68	25	obtained	obtain	VERB
ejpam-3892	68	26	as	as	ADP
ejpam-3892	68	27	fqt−g	fqt−g	NOUN
ejpam-3892	68	28	(	(	PUNCT
ejpam-3892	68	29	x	x	NOUN
ejpam-3892	68	30	)	)	PUNCT
ejpam-3892	68	31	=	=	SYM
ejpam-3892	68	32	∫	∫	PROPN
ejpam-3892	68	33	g(x	g(x	NOUN
ejpam-3892	68	34	)	)	PUNCT
ejpam-3892	68	35	0	0	PUNCT
ejpam-3892	69	1	(	(	PUNCT
ejpam-3892	69	2	1	1	NUM
ejpam-3892	69	3	+	+	NUM
ejpam-3892	69	4	δ	δ	NOUN
ejpam-3892	69	5	−	−	NOUN
ejpam-3892	69	6	2δt	2δt	NOUN
ejpam-3892	69	7	)	)	PUNCT
ejpam-3892	70	1	dt	dt	X
ejpam-3892	70	2	.	.	PUNCT
ejpam-3892	71	1	this	this	DET
ejpam-3892	71	2	fact	fact	NOUN
ejpam-3892	71	3	can	can	AUX
ejpam-3892	71	4	be	be	AUX
ejpam-3892	71	5	extended	extend	VERB
ejpam-3892	71	6	to	to	ADP
ejpam-3892	71	7	the	the	DET
ejpam-3892	71	8	case	case	NOUN
ejpam-3892	71	9	of	of	ADP
ejpam-3892	71	10	generalized	generalized	ADJ
ejpam-3892	71	11	transmuted	transmuted	ADJ
ejpam-3892	71	12	families	family	NOUN
ejpam-3892	71	13	of	of	ADP
ejpam-3892	71	14	distributions	distribution	NOUN
ejpam-3892	71	15	and	and	CCONJ
ejpam-3892	71	16	the	the	DET
ejpam-3892	71	17	results	result	NOUN
ejpam-3892	71	18	are	be	AUX
ejpam-3892	71	19	given	give	VERB
ejpam-3892	71	20	in	in	ADP
ejpam-3892	71	21	the	the	DET
ejpam-3892	71	22	following	follow	VERB
ejpam-3892	71	23	theorems	theorem	NOUN
ejpam-3892	71	24	.	.	PUNCT
ejpam-3892	72	1	theorem	theorem	NOUN
ejpam-3892	72	2	1	1	NUM
ejpam-3892	72	3	.	.	PUNCT
ejpam-3892	73	1	the	the	DET
ejpam-3892	73	2	general	general	ADJ
ejpam-3892	73	3	transmuted	transmuted	ADJ
ejpam-3892	73	4	families	family	NOUN
ejpam-3892	73	5	of	of	ADP
ejpam-3892	73	6	distributions	distribution	NOUN
ejpam-3892	73	7	(	(	PUNCT
ejpam-3892	73	8	8)	8)	NUM
ejpam-3892	73	9	and	and	CCONJ
ejpam-3892	73	10	(	(	PUNCT
ejpam-3892	73	11	10	10	NUM
ejpam-3892	73	12	)	)	PUNCT
ejpam-3892	73	13	are	be	AUX
ejpam-3892	73	14	members	member	NOUN
ejpam-3892	73	15	of	of	ADP
ejpam-3892	73	16	the	the	DET
ejpam-3892	73	17	t	t	PROPN
ejpam-3892	73	18	−x	−x	NOUN
ejpam-3892	73	19	familiy	familiy	NOUN
ejpam-3892	73	20	of	of	ADP
ejpam-3892	73	21	distributions	distribution	NOUN
ejpam-3892	73	22	.	.	PUNCT
ejpam-3892	74	1	proof	proof	NOUN
ejpam-3892	74	2	.	.	PUNCT
ejpam-3892	75	1	using	use	VERB
ejpam-3892	75	2	r1	r1	PROPN
ejpam-3892	75	3	(	(	PUNCT
ejpam-3892	75	4	t	t	PROPN
ejpam-3892	75	5	)	)	PUNCT
ejpam-3892	75	6	=	=	SYM
ejpam-3892	75	7	1	1	NUM
ejpam-3892	75	8	+	+	NUM
ejpam-3892	75	9	k∑	k∑	PROPN
ejpam-3892	76	1	m=1	m=1	X
ejpam-3892	76	2	δmt	δmt	INTJ
ejpam-3892	76	3	m−1	m−1	PROPN
ejpam-3892	77	1	[	[	X
ejpam-3892	77	2	m−	m−	PROPN
ejpam-3892	77	3	(	(	PUNCT
ejpam-3892	77	4	m+	m+	NOUN
ejpam-3892	77	5	1	1	NUM
ejpam-3892	77	6	)	)	PUNCT
ejpam-3892	77	7	t	t	PROPN
ejpam-3892	77	8	]	]	PUNCT
ejpam-3892	77	9	,	,	PUNCT
ejpam-3892	77	10	0	0	PUNCT
ejpam-3892	77	11	<	<	X
ejpam-3892	77	12	t	t	X
ejpam-3892	77	13	<	<	X
ejpam-3892	77	14	1	1	NUM
ejpam-3892	77	15	(	(	PUNCT
ejpam-3892	77	16	13	13	NUM
ejpam-3892	77	17	)	)	PUNCT
ejpam-3892	77	18	and	and	CCONJ
ejpam-3892	77	19	r2	r2	PROPN
ejpam-3892	77	20	(	(	PUNCT
ejpam-3892	77	21	t	t	PROPN
ejpam-3892	77	22	)	)	PUNCT
ejpam-3892	77	23	=	=	SYM
ejpam-3892	77	24	1	1	NUM
ejpam-3892	77	25	+	+	NUM
ejpam-3892	77	26	k∑	k∑	PROPN
ejpam-3892	78	1	m=1	m=1	X
ejpam-3892	78	2	δm	δm	INTJ
ejpam-3892	78	3	(	(	PUNCT
ejpam-3892	78	4	1−	1−	NUM
ejpam-3892	78	5	t)m−1	t)m−1	NOUN
ejpam-3892	79	1	[	[	X
ejpam-3892	79	2	1−	1−	NUM
ejpam-3892	79	3	(	(	PUNCT
ejpam-3892	79	4	m+	m+	NOUN
ejpam-3892	79	5	1	1	NUM
ejpam-3892	79	6	)	)	PUNCT
ejpam-3892	79	7	t	t	PROPN
ejpam-3892	79	8	]	]	PUNCT
ejpam-3892	79	9	,	,	PUNCT
ejpam-3892	79	10	0	0	PUNCT
ejpam-3892	79	11	<	<	X
ejpam-3892	79	12	t	t	X
ejpam-3892	79	13	<	<	X
ejpam-3892	79	14	1	1	NUM
ejpam-3892	79	15	,	,	PUNCT
ejpam-3892	79	16	(	(	PUNCT
ejpam-3892	79	17	14	14	NUM
ejpam-3892	79	18	)	)	PUNCT
ejpam-3892	79	19	with	with	ADP
ejpam-3892	79	20	w	w	PROPN
ejpam-3892	80	1	[	[	X
ejpam-3892	80	2	g	g	X
ejpam-3892	80	3	(	(	PUNCT
ejpam-3892	80	4	x	x	NOUN
ejpam-3892	80	5	)	)	PUNCT
ejpam-3892	80	6	]	]	PUNCT
ejpam-3892	80	7	=	=	PUNCT
ejpam-3892	80	8	g	g	PROPN
ejpam-3892	80	9	(	(	PUNCT
ejpam-3892	80	10	x	x	NOUN
ejpam-3892	80	11	)	)	PUNCT
ejpam-3892	80	12	in	in	ADP
ejpam-3892	80	13	(	(	PUNCT
ejpam-3892	80	14	12	12	NUM
ejpam-3892	80	15	)	)	PUNCT
ejpam-3892	80	16	we	we	PRON
ejpam-3892	80	17	obtain	obtain	VERB
ejpam-3892	80	18	the	the	DET
ejpam-3892	80	19	general	general	ADJ
ejpam-3892	80	20	transmuted	transmuted	ADJ
ejpam-3892	80	21	families	family	NOUN
ejpam-3892	80	22	(	(	PUNCT
ejpam-3892	80	23	8)	8)	NUM
ejpam-3892	80	24	and	and	CCONJ
ejpam-3892	80	25	(	(	PUNCT
ejpam-3892	80	26	10	10	NUM
ejpam-3892	80	27	)	)	PUNCT
ejpam-3892	80	28	respectively	respectively	ADV
ejpam-3892	80	29	and	and	CCONJ
ejpam-3892	80	30	hence	hence	ADV
ejpam-3892	80	31	the	the	DET
ejpam-3892	80	32	proof	proof	NOUN
ejpam-3892	80	33	is	be	AUX
ejpam-3892	80	34	complete	complete	ADJ
ejpam-3892	80	35	.	.	PUNCT
ejpam-3892	81	1	it	it	PRON
ejpam-3892	81	2	is	be	AUX
ejpam-3892	81	3	to	to	PART
ejpam-3892	81	4	be	be	AUX
ejpam-3892	81	5	noted	note	VERB
ejpam-3892	81	6	that	that	SCONJ
ejpam-3892	81	7	the	the	PRON
ejpam-3892	81	8	,	,	PUNCT
ejpam-3892	81	9	for	for	ADP
ejpam-3892	81	10	k	k	PROPN
ejpam-3892	81	11	=	=	SYM
ejpam-3892	81	12	1	1	NUM
ejpam-3892	81	13	,	,	PUNCT
ejpam-3892	81	14	density	density	NOUN
ejpam-3892	81	15	function	function	NOUN
ejpam-3892	81	16	r1	r1	PROPN
ejpam-3892	81	17	(	(	PUNCT
ejpam-3892	81	18	t	t	PROPN
ejpam-3892	81	19	)	)	PUNCT
ejpam-3892	81	20	,	,	PUNCT
ejpam-3892	81	21	given	give	VERB
ejpam-3892	81	22	in	in	ADP
ejpam-3892	81	23	(	(	PUNCT
ejpam-3892	81	24	13	13	NUM
ejpam-3892	81	25	)	)	PUNCT
ejpam-3892	81	26	reduces	reduce	VERB
ejpam-3892	81	27	to	to	ADP
ejpam-3892	81	28	the	the	DET
ejpam-3892	81	29	density	density	NOUN
ejpam-3892	81	30	function	function	NOUN
ejpam-3892	82	1	r	r	NOUN
ejpam-3892	82	2	(	(	PUNCT
ejpam-3892	82	3	t	t	PROPN
ejpam-3892	82	4	)	)	PUNCT
ejpam-3892	82	5	which	which	PRON
ejpam-3892	82	6	is	be	AUX
ejpam-3892	82	7	used	use	VERB
ejpam-3892	82	8	in	in	ADP
ejpam-3892	82	9	representing	represent	VERB
ejpam-3892	82	10	transmuted	transmuted	ADJ
ejpam-3892	82	11	family	family	NOUN
ejpam-3892	82	12	of	of	ADP
ejpam-3892	82	13	distributions	distribution	NOUN
ejpam-3892	82	14	as	as	ADP
ejpam-3892	82	15	member	member	NOUN
ejpam-3892	82	16	of	of	ADP
ejpam-3892	82	17	t	t	PROPN
ejpam-3892	82	18	−	−	PROPN
ejpam-3892	82	19	x	x	SYM
ejpam-3892	82	20	family	family	NOUN
ejpam-3892	82	21	of	of	ADP
ejpam-3892	82	22	distributions	distribution	NOUN
ejpam-3892	82	23	.	.	PUNCT
ejpam-3892	83	1	also	also	ADV
ejpam-3892	83	2	for	for	ADP
ejpam-3892	83	3	k	k	PROPN
ejpam-3892	83	4	=	=	SYM
ejpam-3892	83	5	2	2	NUM
ejpam-3892	83	6	the	the	DET
ejpam-3892	83	7	density	density	NOUN
ejpam-3892	83	8	function	function	NOUN
ejpam-3892	83	9	r1	r1	PROPN
ejpam-3892	83	10	(	(	PUNCT
ejpam-3892	83	11	t	t	NOUN
ejpam-3892	83	12	)	)	PUNCT
ejpam-3892	83	13	reduces	reduce	VERB
ejpam-3892	83	14	to	to	ADP
ejpam-3892	83	15	the	the	DET
ejpam-3892	83	16	density	density	NOUN
ejpam-3892	83	17	function	function	NOUN
ejpam-3892	83	18	r	r	NOUN
ejpam-3892	83	19	(	(	PUNCT
ejpam-3892	83	20	t	t	PROPN
ejpam-3892	83	21	)	)	PUNCT
ejpam-3892	83	22	which	which	PRON
ejpam-3892	83	23	is	be	AUX
ejpam-3892	83	24	used	use	VERB
ejpam-3892	83	25	by	by	ADP
ejpam-3892	83	26	[	[	X
ejpam-3892	83	27	12	12	NUM
ejpam-3892	83	28	]	]	PUNCT
ejpam-3892	83	29	to	to	PART
ejpam-3892	83	30	represent	represent	VERB
ejpam-3892	83	31	cubic	cubic	ADJ
ejpam-3892	83	32	transmuted	transmute	VERB
ejpam-3892	83	33	family	family	NOUN
ejpam-3892	83	34	1	1	NUM
ejpam-3892	83	35	,	,	PUNCT
ejpam-3892	83	36	(	(	PUNCT
ejpam-3892	83	37	4	4	NUM
ejpam-3892	83	38	)	)	PUNCT
ejpam-3892	83	39	.	.	PUNCT
ejpam-3892	84	1	the	the	DET
ejpam-3892	84	2	same	same	ADJ
ejpam-3892	84	3	is	be	AUX
ejpam-3892	84	4	true	true	ADJ
ejpam-3892	84	5	for	for	ADP
ejpam-3892	84	6	density	density	NOUN
ejpam-3892	84	7	r2	r2	PROPN
ejpam-3892	84	8	(	(	PUNCT
ejpam-3892	84	9	t	t	PROPN
ejpam-3892	84	10	)	)	PUNCT
ejpam-3892	84	11	.	.	PUNCT
ejpam-3892	85	1	3.2	3.2	NUM
ejpam-3892	85	2	.	.	PUNCT
ejpam-3892	85	3	representation	representation	NOUN
ejpam-3892	85	4	as	as	ADP
ejpam-3892	85	5	distribution	distribution	NOUN
ejpam-3892	85	6	of	of	ADP
ejpam-3892	85	7	order	order	NOUN
ejpam-3892	85	8	statistics	statistic	NOUN
ejpam-3892	85	9	we	we	PRON
ejpam-3892	85	10	have	have	AUX
ejpam-3892	85	11	seen	see	VERB
ejpam-3892	85	12	in	in	ADP
ejpam-3892	85	13	(	(	PUNCT
ejpam-3892	85	14	3	3	NUM
ejpam-3892	85	15	)	)	PUNCT
ejpam-3892	85	16	that	that	SCONJ
ejpam-3892	85	17	the	the	DET
ejpam-3892	85	18	transmuted	transmuted	ADJ
ejpam-3892	85	19	family	family	NOUN
ejpam-3892	85	20	of	of	ADP
ejpam-3892	85	21	distributions	distribution	NOUN
ejpam-3892	85	22	can	can	AUX
ejpam-3892	85	23	be	be	AUX
ejpam-3892	85	24	written	write	VERB
ejpam-3892	85	25	as	as	ADP
ejpam-3892	85	26	weighted	weight	VERB
ejpam-3892	85	27	sum	sum	NOUN
ejpam-3892	85	28	of	of	ADP
ejpam-3892	85	29	maximum	maximum	NOUN
ejpam-3892	85	30	for	for	ADP
ejpam-3892	85	31	various	various	ADJ
ejpam-3892	85	32	sample	sample	NOUN
ejpam-3892	85	33	sizes	size	NOUN
ejpam-3892	85	34	from	from	ADP
ejpam-3892	85	35	the	the	DET
ejpam-3892	85	36	baseline	baseline	NOUN
ejpam-3892	85	37	distribution	distribution	NOUN
ejpam-3892	85	38	g	g	NOUN
ejpam-3892	85	39	(	(	PUNCT
ejpam-3892	85	40	x	x	NOUN
ejpam-3892	85	41	)	)	PUNCT
ejpam-3892	85	42	,	,	PUNCT
ejpam-3892	85	43	that	that	PRON
ejpam-3892	85	44	is	be	AUX
ejpam-3892	85	45	the	the	DET
ejpam-3892	85	46	transmuted	transmuted	ADJ
ejpam-3892	85	47	family	family	NOUN
ejpam-3892	85	48	of	of	ADP
ejpam-3892	85	49	distribution	distribution	NOUN
ejpam-3892	85	50	is	be	AUX
ejpam-3892	85	51	a	a	DET
ejpam-3892	85	52	weighted	weighted	ADJ
ejpam-3892	85	53	sum	sum	NOUN
ejpam-3892	85	54	of	of	ADP
ejpam-3892	85	55	distributions	distribution	NOUN
ejpam-3892	85	56	of	of	ADP
ejpam-3892	85	57	order	order	NOUN
ejpam-3892	85	58	statistics	statistic	NOUN
ejpam-3892	85	59	from	from	ADP
ejpam-3892	85	60	baseline	baseline	ADJ
ejpam-3892	85	61	distribution	distribution	NOUN
ejpam-3892	85	62	g	g	NOUN
ejpam-3892	85	63	(	(	PUNCT
ejpam-3892	85	64	x	x	NOUN
ejpam-3892	85	65	)	)	PUNCT
ejpam-3892	85	66	.	.	PUNCT
ejpam-3892	86	1	this	this	DET
ejpam-3892	86	2	result	result	NOUN
ejpam-3892	86	3	can	can	AUX
ejpam-3892	86	4	be	be	AUX
ejpam-3892	86	5	extended	extend	VERB
ejpam-3892	86	6	to	to	ADP
ejpam-3892	86	7	the	the	DET
ejpam-3892	86	8	density	density	NOUN
ejpam-3892	86	9	function	function	NOUN
ejpam-3892	86	10	of	of	ADP
ejpam-3892	86	11	general	general	ADJ
ejpam-3892	86	12	transmuted	transmuted	ADJ
ejpam-3892	86	13	families	family	NOUN
ejpam-3892	86	14	of	of	ADP
ejpam-3892	86	15	distributions	distribution	NOUN
ejpam-3892	86	16	,	,	PUNCT
ejpam-3892	86	17	given	give	VERB
ejpam-3892	86	18	in	in	ADP
ejpam-3892	86	19	(	(	PUNCT
ejpam-3892	86	20	9	9	NUM
ejpam-3892	86	21	)	)	PUNCT
ejpam-3892	86	22	and	and	CCONJ
ejpam-3892	86	23	(	(	PUNCT
ejpam-3892	86	24	11	11	NUM
ejpam-3892	86	25	)	)	PUNCT
ejpam-3892	86	26	.	.	PUNCT
ejpam-3892	87	1	in	in	ADP
ejpam-3892	87	2	the	the	DET
ejpam-3892	87	3	following	following	NOUN
ejpam-3892	87	4	we	we	PRON
ejpam-3892	87	5	will	will	AUX
ejpam-3892	87	6	represent	represent	VERB
ejpam-3892	87	7	the	the	DET
ejpam-3892	87	8	general	general	ADJ
ejpam-3892	87	9	transmuted	transmuted	ADJ
ejpam-3892	87	10	families	family	NOUN
ejpam-3892	87	11	of	of	ADP
ejpam-3892	87	12	distributions	distribution	NOUN
ejpam-3892	87	13	as	as	ADP
ejpam-3892	87	14	distribution	distribution	NOUN
ejpam-3892	87	15	or	or	CCONJ
ejpam-3892	87	16	order	order	NOUN
ejpam-3892	87	17	statistics	statistic	NOUN
ejpam-3892	87	18	from	from	ADP
ejpam-3892	87	19	the	the	DET
ejpam-3892	87	20	baseline	baseline	NOUN
ejpam-3892	87	21	distribution	distribution	NOUN
ejpam-3892	87	22	g	g	NOUN
ejpam-3892	87	23	(	(	PUNCT
ejpam-3892	87	24	x	x	NOUN
ejpam-3892	87	25	)	)	PUNCT
ejpam-3892	87	26	.	.	PUNCT
ejpam-3892	88	1	s.	s.	PROPN
ejpam-3892	88	2	h.	h.	PROPN
ejpam-3892	88	3	shahbaz	shahbaz	PROPN
ejpam-3892	88	4	,	,	PUNCT
ejpam-3892	88	5	m.	m.	NOUN
ejpam-3892	88	6	m.	m.	PROPN
ejpam-3892	88	7	rahman	rahman	PROPN
ejpam-3892	88	8	,	,	PUNCT
ejpam-3892	88	9	m.	m.	PROPN
ejpam-3892	88	10	q.	q.	PROPN
ejpam-3892	88	11	shahbaz	shahbaz	PROPN
ejpam-3892	88	12	/	/	SYM
ejpam-3892	88	13	eur	eur	PROPN
ejpam-3892	88	14	.	.	PUNCT
ejpam-3892	89	1	j.	j.	PROPN
ejpam-3892	89	2	pure	pure	PROPN
ejpam-3892	89	3	appl	appl	PROPN
ejpam-3892	89	4	.	.	PROPN
ejpam-3892	89	5	math	math	PROPN
ejpam-3892	89	6	,	,	PUNCT
ejpam-3892	89	7	14	14	NUM
ejpam-3892	89	8	(	(	PUNCT
ejpam-3892	89	9	1	1	NUM
ejpam-3892	89	10	)	)	PUNCT
ejpam-3892	89	11	(	(	PUNCT
ejpam-3892	89	12	2021	2021	NUM
ejpam-3892	89	13	)	)	PUNCT
ejpam-3892	89	14	,	,	PUNCT
ejpam-3892	89	15	301	301	NUM
ejpam-3892	89	16	-	-	SYM
ejpam-3892	89	17	313	313	NUM
ejpam-3892	89	18	305	305	NUM
ejpam-3892	89	19	3.3	3.3	NUM
ejpam-3892	89	20	.	.	PUNCT
ejpam-3892	90	1	representation	representation	NOUN
ejpam-3892	90	2	as	as	ADP
ejpam-3892	90	3	weighted	weight	VERB
ejpam-3892	90	4	sum	sum	NOUN
ejpam-3892	90	5	of	of	ADP
ejpam-3892	90	6	maximums	maximum	NOUN
ejpam-3892	90	7	we	we	PRON
ejpam-3892	90	8	have	have	AUX
ejpam-3892	90	9	seen	see	VERB
ejpam-3892	90	10	,	,	PUNCT
ejpam-3892	90	11	in	in	ADP
ejpam-3892	90	12	(	(	PUNCT
ejpam-3892	90	13	3	3	NUM
ejpam-3892	90	14	)	)	PUNCT
ejpam-3892	90	15	,	,	PUNCT
ejpam-3892	90	16	that	that	SCONJ
ejpam-3892	90	17	the	the	DET
ejpam-3892	90	18	transmuted	transmuted	ADJ
ejpam-3892	90	19	family	family	NOUN
ejpam-3892	90	20	of	of	ADP
ejpam-3892	90	21	distribution	distribution	NOUN
ejpam-3892	90	22	is	be	AUX
ejpam-3892	90	23	written	write	VERB
ejpam-3892	90	24	as	as	ADP
ejpam-3892	90	25	weighted	weight	VERB
ejpam-3892	90	26	sum	sum	NOUN
ejpam-3892	90	27	of	of	ADP
ejpam-3892	90	28	distributions	distribution	NOUN
ejpam-3892	90	29	of	of	ADP
ejpam-3892	90	30	maximums	maximum	NOUN
ejpam-3892	90	31	in	in	ADP
ejpam-3892	90	32	samples	sample	NOUN
ejpam-3892	90	33	of	of	ADP
ejpam-3892	90	34	sizes	size	NOUN
ejpam-3892	90	35	1	1	NUM
ejpam-3892	90	36	and	and	CCONJ
ejpam-3892	90	37	2	2	NUM
ejpam-3892	90	38	from	from	ADP
ejpam-3892	90	39	the	the	DET
ejpam-3892	90	40	baseline	baseline	NOUN
ejpam-3892	90	41	distribution	distribution	NOUN
ejpam-3892	90	42	g	g	NOUN
ejpam-3892	90	43	(	(	PUNCT
ejpam-3892	90	44	x	x	NOUN
ejpam-3892	90	45	)	)	PUNCT
ejpam-3892	90	46	.	.	PUNCT
ejpam-3892	91	1	this	this	DET
ejpam-3892	91	2	result	result	NOUN
ejpam-3892	91	3	can	can	AUX
ejpam-3892	91	4	be	be	AUX
ejpam-3892	91	5	extended	extend	VERB
ejpam-3892	91	6	to	to	ADP
ejpam-3892	91	7	the	the	DET
ejpam-3892	91	8	case	case	NOUN
ejpam-3892	91	9	of	of	ADP
ejpam-3892	91	10	general	general	ADJ
ejpam-3892	91	11	transmuted	transmuted	ADJ
ejpam-3892	91	12	families	family	NOUN
ejpam-3892	91	13	of	of	ADP
ejpam-3892	91	14	distributions	distribution	NOUN
ejpam-3892	91	15	and	and	CCONJ
ejpam-3892	91	16	are	be	AUX
ejpam-3892	91	17	given	give	VERB
ejpam-3892	91	18	in	in	ADP
ejpam-3892	91	19	the	the	DET
ejpam-3892	91	20	following	follow	VERB
ejpam-3892	91	21	theorems	theorem	NOUN
ejpam-3892	91	22	.	.	PUNCT
ejpam-3892	92	1	theorem	theorem	NOUN
ejpam-3892	92	2	2	2	NUM
ejpam-3892	92	3	.	.	PUNCT
ejpam-3892	93	1	the	the	DET
ejpam-3892	93	2	density	density	NOUN
ejpam-3892	93	3	function	function	NOUN
ejpam-3892	93	4	of	of	ADP
ejpam-3892	93	5	general	general	ADJ
ejpam-3892	93	6	transmuted	transmuted	ADJ
ejpam-3892	93	7	family	family	NOUN
ejpam-3892	93	8	-	-	PUNCT
ejpam-3892	93	9	i	i	PRON
ejpam-3892	93	10	(	(	PUNCT
ejpam-3892	93	11	9	9	X
ejpam-3892	93	12	)	)	PUNCT
ejpam-3892	93	13	can	can	AUX
ejpam-3892	93	14	be	be	AUX
ejpam-3892	93	15	written	write	VERB
ejpam-3892	93	16	as	as	ADP
ejpam-3892	93	17	weighted	weight	VERB
ejpam-3892	93	18	sum	sum	NOUN
ejpam-3892	93	19	of	of	ADP
ejpam-3892	93	20	maximums	maximum	NOUN
ejpam-3892	93	21	as	as	ADP
ejpam-3892	93	22	fgt1−g	fgt1−g	NOUN
ejpam-3892	93	23	(	(	PUNCT
ejpam-3892	93	24	x	x	X
ejpam-3892	93	25	)	)	PUNCT
ejpam-3892	93	26	=	=	SYM
ejpam-3892	93	27	(	(	PUNCT
ejpam-3892	93	28	1	1	NUM
ejpam-3892	93	29	+	+	NUM
ejpam-3892	93	30	δ1	δ1	NOUN
ejpam-3892	93	31	)	)	PUNCT
ejpam-3892	93	32	g1:1	g1:1	NOUN
ejpam-3892	93	33	(	(	PUNCT
ejpam-3892	93	34	x	x	X
ejpam-3892	93	35	)	)	PUNCT
ejpam-3892	93	36	+	+	CCONJ
ejpam-3892	93	37	k∑	k∑	VERB
ejpam-3892	93	38	m=2	m=2	PROPN
ejpam-3892	93	39	(	(	PUNCT
ejpam-3892	93	40	δm	δm	ADP
ejpam-3892	93	41	−	−	PROPN
ejpam-3892	93	42	δm−1	δm−1	PROPN
ejpam-3892	93	43	)	)	PUNCT
ejpam-3892	94	1	gm	gm	PROPN
ejpam-3892	94	2	:	:	PUNCT
ejpam-3892	94	3	m	m	VERB
ejpam-3892	94	4	(	(	PUNCT
ejpam-3892	94	5	x	x	NOUN
ejpam-3892	94	6	)	)	PUNCT
ejpam-3892	94	7	−δkgk+1	−δkgk+1	NOUN
ejpam-3892	94	8	:	:	PUNCT
ejpam-3892	94	9	k+1	k+1	X
ejpam-3892	94	10	(	(	PUNCT
ejpam-3892	94	11	x	x	NOUN
ejpam-3892	94	12	)	)	PUNCT
ejpam-3892	94	13	,	,	PUNCT
ejpam-3892	94	14	(	(	PUNCT
ejpam-3892	94	15	15	15	NUM
ejpam-3892	94	16	)	)	PUNCT
ejpam-3892	94	17	where	where	SCONJ
ejpam-3892	94	18	gn	gn	ADJ
ejpam-3892	94	19	:	:	PUNCT
ejpam-3892	94	20	n	n	CCONJ
ejpam-3892	94	21	(	(	PUNCT
ejpam-3892	94	22	x	x	X
ejpam-3892	94	23	)	)	PUNCT
ejpam-3892	94	24	is	be	AUX
ejpam-3892	94	25	distribution	distribution	NOUN
ejpam-3892	94	26	of	of	ADP
ejpam-3892	94	27	the	the	DET
ejpam-3892	94	28	maximum	maximum	NOUN
ejpam-3892	94	29	in	in	ADP
ejpam-3892	94	30	a	a	DET
ejpam-3892	94	31	sample	sample	NOUN
ejpam-3892	94	32	of	of	ADP
ejpam-3892	94	33	size	size	NOUN
ejpam-3892	94	34	n	n	CCONJ
ejpam-3892	94	35	from	from	ADP
ejpam-3892	94	36	g	g	PROPN
ejpam-3892	94	37	(	(	PUNCT
ejpam-3892	94	38	x	x	NOUN
ejpam-3892	94	39	)	)	PUNCT
ejpam-3892	94	40	.	.	PUNCT
ejpam-3892	95	1	proof	proof	NOUN
ejpam-3892	95	2	.	.	PUNCT
ejpam-3892	96	1	the	the	DET
ejpam-3892	96	2	density	density	NOUN
ejpam-3892	96	3	function	function	NOUN
ejpam-3892	96	4	of	of	ADP
ejpam-3892	96	5	general	general	ADJ
ejpam-3892	96	6	transmuted	transmuted	ADJ
ejpam-3892	96	7	family	family	NOUN
ejpam-3892	96	8	of	of	ADP
ejpam-3892	96	9	distributions	distribution	NOUN
ejpam-3892	96	10	is	be	AUX
ejpam-3892	96	11	given	give	VERB
ejpam-3892	96	12	in	in	ADP
ejpam-3892	96	13	(	(	PUNCT
ejpam-3892	96	14	9	9	NUM
ejpam-3892	96	15	)	)	PUNCT
ejpam-3892	96	16	.	.	PUNCT
ejpam-3892	97	1	it	it	PRON
ejpam-3892	97	2	can	can	AUX
ejpam-3892	97	3	be	be	AUX
ejpam-3892	97	4	easily	easily	ADV
ejpam-3892	97	5	seen	see	VERB
ejpam-3892	97	6	that	that	SCONJ
ejpam-3892	97	7	the	the	DET
ejpam-3892	97	8	density	density	NOUN
ejpam-3892	97	9	function	function	NOUN
ejpam-3892	97	10	can	can	AUX
ejpam-3892	97	11	be	be	AUX
ejpam-3892	97	12	written	write	VERB
ejpam-3892	97	13	as	as	ADP
ejpam-3892	97	14	fgt1−g	fgt1−g	NOUN
ejpam-3892	97	15	(	(	PUNCT
ejpam-3892	97	16	x	x	X
ejpam-3892	97	17	)	)	PUNCT
ejpam-3892	97	18	=	=	SYM
ejpam-3892	97	19	g	g	PROPN
ejpam-3892	97	20	(	(	PUNCT
ejpam-3892	97	21	x	x	NOUN
ejpam-3892	97	22	)	)	PUNCT
ejpam-3892	97	23	[	[	PUNCT
ejpam-3892	97	24	(	(	PUNCT
ejpam-3892	97	25	1	1	NUM
ejpam-3892	97	26	+	+	NUM
ejpam-3892	97	27	δ1	δ1	NOUN
ejpam-3892	97	28	)	)	PUNCT
ejpam-3892	98	1	+	+	CCONJ
ejpam-3892	98	2	k∑	k∑	NOUN
ejpam-3892	98	3	m=2	m=2	PROPN
ejpam-3892	99	1	m	m	INTJ
ejpam-3892	99	2	(	(	PUNCT
ejpam-3892	99	3	δm	δm	PROPN
ejpam-3892	99	4	−	−	PROPN
ejpam-3892	99	5	δm−1)g	δm−1)g	PUNCT
ejpam-3892	100	1	m−1	m−1	PROPN
ejpam-3892	100	2	(	(	PUNCT
ejpam-3892	100	3	x	x	NOUN
ejpam-3892	100	4	)	)	PUNCT
ejpam-3892	100	5	−	−	PROPN
ejpam-3892	100	6	(	(	PUNCT
ejpam-3892	100	7	k	k	NOUN
ejpam-3892	100	8	+	+	PROPN
ejpam-3892	100	9	1	1	X
ejpam-3892	100	10	)	)	PUNCT
ejpam-3892	100	11	δkg	δkg	NOUN
ejpam-3892	100	12	k	k	PROPN
ejpam-3892	100	13	(	(	PUNCT
ejpam-3892	100	14	x	x	X
ejpam-3892	100	15	)	)	PUNCT
ejpam-3892	100	16	]	]	PUNCT
ejpam-3892	100	17	or	or	CCONJ
ejpam-3892	100	18	fgt1−g	fgt1−g	NOUN
ejpam-3892	100	19	(	(	PUNCT
ejpam-3892	100	20	x	x	X
ejpam-3892	100	21	)	)	PUNCT
ejpam-3892	100	22	=	=	SYM
ejpam-3892	100	23	(	(	PUNCT
ejpam-3892	100	24	1	1	NUM
ejpam-3892	100	25	+	+	NUM
ejpam-3892	100	26	δ1	δ1	NOUN
ejpam-3892	100	27	)	)	PUNCT
ejpam-3892	100	28	g	g	PROPN
ejpam-3892	100	29	(	(	PUNCT
ejpam-3892	100	30	x	x	NOUN
ejpam-3892	100	31	)	)	PUNCT
ejpam-3892	100	32	+	+	CCONJ
ejpam-3892	100	33	k∑	k∑	VERB
ejpam-3892	100	34	m=2	m=2	PROPN
ejpam-3892	100	35	(	(	PUNCT
ejpam-3892	100	36	δm	δm	ADV
ejpam-3892	100	37	−	−	PROPN
ejpam-3892	100	38	δm−1)mg	δm−1)mg	NOUN
ejpam-3892	100	39	(	(	PUNCT
ejpam-3892	100	40	x)gm−1	x)gm−1	PROPN
ejpam-3892	100	41	(	(	PUNCT
ejpam-3892	100	42	x	x	NOUN
ejpam-3892	100	43	)	)	PUNCT
ejpam-3892	100	44	−	−	PROPN
ejpam-3892	100	45	(	(	PUNCT
ejpam-3892	100	46	k	k	NOUN
ejpam-3892	100	47	+	+	PROPN
ejpam-3892	100	48	1	1	X
ejpam-3892	100	49	)	)	PUNCT
ejpam-3892	100	50	δkg	δkg	NOUN
ejpam-3892	100	51	(	(	PUNCT
ejpam-3892	100	52	x)gk	x)gk	PROPN
ejpam-3892	100	53	(	(	PUNCT
ejpam-3892	100	54	x	x	NOUN
ejpam-3892	100	55	)	)	PUNCT
ejpam-3892	100	56	.	.	PUNCT
ejpam-3892	101	1	now	now	ADV
ejpam-3892	101	2	using	use	VERB
ejpam-3892	101	3	the	the	DET
ejpam-3892	101	4	distribution	distribution	NOUN
ejpam-3892	101	5	of	of	ADP
ejpam-3892	101	6	order	order	NOUN
ejpam-3892	101	7	statistics	statistic	NOUN
ejpam-3892	101	8	,	,	PUNCT
ejpam-3892	101	9	as	as	SCONJ
ejpam-3892	101	10	given	give	VERB
ejpam-3892	101	11	in	in	ADP
ejpam-3892	101	12	[	[	X
ejpam-3892	101	13	5	5	NUM
ejpam-3892	101	14	]	]	PUNCT
ejpam-3892	101	15	and	and	CCONJ
ejpam-3892	101	16	[	[	X
ejpam-3892	101	17	15	15	NUM
ejpam-3892	101	18	]	]	PUNCT
ejpam-3892	101	19	,	,	PUNCT
ejpam-3892	101	20	the	the	DET
ejpam-3892	101	21	above	above	ADJ
ejpam-3892	101	22	density	density	NOUN
ejpam-3892	101	23	can	can	AUX
ejpam-3892	101	24	be	be	AUX
ejpam-3892	101	25	written	write	VERB
ejpam-3892	101	26	as	as	SCONJ
ejpam-3892	101	27	given	give	VERB
ejpam-3892	101	28	in	in	ADP
ejpam-3892	101	29	(	(	PUNCT
ejpam-3892	101	30	15	15	NUM
ejpam-3892	101	31	)	)	PUNCT
ejpam-3892	101	32	and	and	CCONJ
ejpam-3892	101	33	the	the	DET
ejpam-3892	101	34	proof	proof	NOUN
ejpam-3892	101	35	is	be	AUX
ejpam-3892	101	36	complete	complete	ADJ
ejpam-3892	101	37	.	.	PUNCT
ejpam-3892	102	1	the	the	DET
ejpam-3892	102	2	representation	representation	NOUN
ejpam-3892	102	3	of	of	ADP
ejpam-3892	102	4	general	general	ADJ
ejpam-3892	102	5	transmuted	transmute	VERB
ejpam-3892	102	6	-	-	PUNCT
ejpam-3892	102	7	ii	ii	NOUN
ejpam-3892	102	8	family	family	NOUN
ejpam-3892	102	9	of	of	ADP
ejpam-3892	102	10	distributions	distribution	NOUN
ejpam-3892	102	11	(	(	PUNCT
ejpam-3892	102	12	gt2	gt2	PROPN
ejpam-3892	102	13	-	-	PUNCT
ejpam-3892	102	14	g	g	NOUN
ejpam-3892	102	15	)	)	PUNCT
ejpam-3892	102	16	as	as	ADP
ejpam-3892	102	17	weighted	weight	VERB
ejpam-3892	102	18	sum	sum	NOUN
ejpam-3892	102	19	of	of	ADP
ejpam-3892	102	20	distribution	distribution	NOUN
ejpam-3892	102	21	of	of	ADP
ejpam-3892	102	22	the	the	DET
ejpam-3892	102	23	maximum	maximum	NOUN
ejpam-3892	102	24	is	be	AUX
ejpam-3892	102	25	given	give	VERB
ejpam-3892	102	26	in	in	ADP
ejpam-3892	102	27	the	the	DET
ejpam-3892	102	28	following	follow	VERB
ejpam-3892	102	29	theorem	theorem	NOUN
ejpam-3892	102	30	.	.	PUNCT
ejpam-3892	103	1	theorem	theorem	NOUN
ejpam-3892	103	2	3	3	NUM
ejpam-3892	103	3	.	.	PUNCT
ejpam-3892	104	1	the	the	DET
ejpam-3892	104	2	density	density	NOUN
ejpam-3892	104	3	function	function	NOUN
ejpam-3892	104	4	of	of	ADP
ejpam-3892	104	5	general	general	ADJ
ejpam-3892	104	6	transmuted	transmuted	ADJ
ejpam-3892	104	7	family	family	NOUN
ejpam-3892	104	8	-	-	PUNCT
ejpam-3892	104	9	ii	ii	NOUN
ejpam-3892	104	10	(	(	PUNCT
ejpam-3892	104	11	11	11	NUM
ejpam-3892	104	12	)	)	PUNCT
ejpam-3892	104	13	can	can	AUX
ejpam-3892	104	14	be	be	AUX
ejpam-3892	104	15	written	write	VERB
ejpam-3892	104	16	as	as	ADP
ejpam-3892	104	17	weighted	weight	VERB
ejpam-3892	104	18	sum	sum	NOUN
ejpam-3892	104	19	of	of	ADP
ejpam-3892	104	20	maximums	maximum	NOUN
ejpam-3892	104	21	as	as	ADP
ejpam-3892	104	22	fgt2−g	fgt2−g	X
ejpam-3892	104	23	(	(	PUNCT
ejpam-3892	104	24	x	x	X
ejpam-3892	104	25	)	)	PUNCT
ejpam-3892	104	26	=	=	SYM
ejpam-3892	104	27	k∑	k∑	PROPN
ejpam-3892	104	28	m=0	m=0	PROPN
ejpam-3892	104	29	m∑	m∑	CCONJ
ejpam-3892	104	30	j=0	j=0	PROPN
ejpam-3892	104	31	(	(	PUNCT
ejpam-3892	104	32	−1)j	−1)j	NOUN
ejpam-3892	104	33	δm	δm	PROPN
ejpam-3892	104	34	(	(	PUNCT
ejpam-3892	104	35	m	m	PROPN
ejpam-3892	104	36	j	j	NOUN
ejpam-3892	104	37	)	)	PUNCT
ejpam-3892	104	38	gj+1	gj+1	NOUN
ejpam-3892	104	39	:	:	PUNCT
ejpam-3892	104	40	j+1	j+1	PRON
ejpam-3892	104	41	(	(	PUNCT
ejpam-3892	104	42	x	x	NOUN
ejpam-3892	104	43	)	)	PUNCT
ejpam-3892	104	44	,	,	PUNCT
ejpam-3892	104	45	(	(	PUNCT
ejpam-3892	104	46	16	16	NUM
ejpam-3892	104	47	)	)	PUNCT
ejpam-3892	104	48	where	where	SCONJ
ejpam-3892	104	49	gn	gn	ADJ
ejpam-3892	104	50	:	:	PUNCT
ejpam-3892	104	51	n	n	CCONJ
ejpam-3892	104	52	(	(	PUNCT
ejpam-3892	104	53	x	x	X
ejpam-3892	104	54	)	)	PUNCT
ejpam-3892	104	55	is	be	AUX
ejpam-3892	104	56	distribution	distribution	NOUN
ejpam-3892	104	57	of	of	ADP
ejpam-3892	104	58	the	the	DET
ejpam-3892	104	59	maximum	maximum	NOUN
ejpam-3892	104	60	in	in	ADP
ejpam-3892	104	61	a	a	DET
ejpam-3892	104	62	sample	sample	NOUN
ejpam-3892	104	63	of	of	ADP
ejpam-3892	104	64	size	size	NOUN
ejpam-3892	104	65	n	n	CCONJ
ejpam-3892	104	66	from	from	ADP
ejpam-3892	104	67	g	g	PROPN
ejpam-3892	104	68	(	(	PUNCT
ejpam-3892	104	69	x	x	NOUN
ejpam-3892	104	70	)	)	PUNCT
ejpam-3892	104	71	.	.	PUNCT
ejpam-3892	105	1	s.	s.	PROPN
ejpam-3892	105	2	h.	h.	PROPN
ejpam-3892	105	3	shahbaz	shahbaz	PROPN
ejpam-3892	105	4	,	,	PUNCT
ejpam-3892	105	5	m.	m.	NOUN
ejpam-3892	105	6	m.	m.	PROPN
ejpam-3892	105	7	rahman	rahman	PROPN
ejpam-3892	105	8	,	,	PUNCT
ejpam-3892	105	9	m.	m.	PROPN
ejpam-3892	105	10	q.	q.	PROPN
ejpam-3892	105	11	shahbaz	shahbaz	PROPN
ejpam-3892	105	12	/	/	SYM
ejpam-3892	105	13	eur	eur	PROPN
ejpam-3892	105	14	.	.	PUNCT
ejpam-3892	106	1	j.	j.	PROPN
ejpam-3892	106	2	pure	pure	PROPN
ejpam-3892	106	3	appl	appl	PROPN
ejpam-3892	106	4	.	.	PROPN
ejpam-3892	106	5	math	math	PROPN
ejpam-3892	106	6	,	,	PUNCT
ejpam-3892	106	7	14	14	NUM
ejpam-3892	106	8	(	(	PUNCT
ejpam-3892	106	9	1	1	NUM
ejpam-3892	106	10	)	)	PUNCT
ejpam-3892	106	11	(	(	PUNCT
ejpam-3892	106	12	2021	2021	NUM
ejpam-3892	106	13	)	)	PUNCT
ejpam-3892	106	14	,	,	PUNCT
ejpam-3892	106	15	301	301	NUM
ejpam-3892	106	16	-	-	SYM
ejpam-3892	106	17	313	313	NUM
ejpam-3892	106	18	306	306	NUM
ejpam-3892	106	19	proof	proof	NOUN
ejpam-3892	106	20	.	.	PUNCT
ejpam-3892	107	1	the	the	DET
ejpam-3892	107	2	cdf	cdf	PROPN
ejpam-3892	107	3	of	of	ADP
ejpam-3892	107	4	general	general	ADJ
ejpam-3892	107	5	transmuted	transmuted	ADJ
ejpam-3892	107	6	family	family	NOUN
ejpam-3892	107	7	-	-	PUNCT
ejpam-3892	107	8	ii	ii	NOUN
ejpam-3892	107	9	of	of	ADP
ejpam-3892	107	10	distributions	distribution	NOUN
ejpam-3892	107	11	is	be	AUX
ejpam-3892	107	12	given	give	VERB
ejpam-3892	107	13	in	in	ADP
ejpam-3892	107	14	(	(	PUNCT
ejpam-3892	107	15	10	10	NUM
ejpam-3892	107	16	)	)	PUNCT
ejpam-3892	107	17	as	as	ADP
ejpam-3892	107	18	fgt2−g	fgt2−g	X
ejpam-3892	107	19	(	(	PUNCT
ejpam-3892	107	20	x	x	X
ejpam-3892	107	21	)	)	PUNCT
ejpam-3892	107	22	=	=	SYM
ejpam-3892	107	23	g	g	PROPN
ejpam-3892	107	24	(	(	PUNCT
ejpam-3892	107	25	x	x	NOUN
ejpam-3892	107	26	)	)	PUNCT
ejpam-3892	107	27	+	+	CCONJ
ejpam-3892	107	28	k∑	k∑	PROPN
ejpam-3892	107	29	m=1	m=1	PROPN
ejpam-3892	107	30	δmg	δmg	NOUN
ejpam-3892	107	31	(	(	PUNCT
ejpam-3892	107	32	x	x	X
ejpam-3892	107	33	)	)	PUNCT
ejpam-3892	108	1	[	[	X
ejpam-3892	108	2	1−g	1−g	NUM
ejpam-3892	108	3	(	(	PUNCT
ejpam-3892	108	4	x)]m	x)]m	NOUN
ejpam-3892	108	5	,	,	PUNCT
ejpam-3892	108	6	x	x	PROPN
ejpam-3892	108	7	∈	∈	PROPN
ejpam-3892	108	8	r.	r.	NOUN
ejpam-3892	108	9	this	this	PRON
ejpam-3892	108	10	can	can	AUX
ejpam-3892	108	11	be	be	AUX
ejpam-3892	108	12	written	write	VERB
ejpam-3892	108	13	as	as	ADP
ejpam-3892	108	14	fgt2−g	fgt2−g	X
ejpam-3892	108	15	(	(	PUNCT
ejpam-3892	108	16	x	x	X
ejpam-3892	108	17	)	)	PUNCT
ejpam-3892	108	18	=	=	SYM
ejpam-3892	108	19	g	g	PROPN
ejpam-3892	108	20	(	(	PUNCT
ejpam-3892	108	21	x	x	NOUN
ejpam-3892	108	22	)	)	PUNCT
ejpam-3892	108	23	k∑	k∑	NOUN
ejpam-3892	109	1	m=0	m=0	PROPN
ejpam-3892	110	1	δm	δm	PROPN
ejpam-3892	110	2	{	{	PUNCT
ejpam-3892	110	3	1−g	1−g	PROPN
ejpam-3892	110	4	(	(	PUNCT
ejpam-3892	110	5	x)}m	x)}m	PROPN
ejpam-3892	110	6	,	,	PUNCT
ejpam-3892	110	7	where	where	SCONJ
ejpam-3892	110	8	δ0	δ0	NOUN
ejpam-3892	110	9	=	=	SYM
ejpam-3892	110	10	1	1	X
ejpam-3892	110	11	.	.	PUNCT
ejpam-3892	111	1	expanding	expand	VERB
ejpam-3892	111	2	binomially	binomially	ADV
ejpam-3892	111	3	,	,	PUNCT
ejpam-3892	111	4	above	above	ADP
ejpam-3892	111	5	cdf	cdf	PROPN
ejpam-3892	111	6	can	can	AUX
ejpam-3892	111	7	be	be	AUX
ejpam-3892	111	8	written	write	VERB
ejpam-3892	111	9	as	as	ADP
ejpam-3892	111	10	fgt2−g	fgt2−g	X
ejpam-3892	111	11	(	(	PUNCT
ejpam-3892	111	12	x	x	X
ejpam-3892	111	13	)	)	PUNCT
ejpam-3892	111	14	=	=	SYM
ejpam-3892	111	15	k∑	k∑	PROPN
ejpam-3892	111	16	m=0	m=0	PROPN
ejpam-3892	111	17	m∑	m∑	CCONJ
ejpam-3892	111	18	j=0	j=0	PROPN
ejpam-3892	111	19	(	(	PUNCT
ejpam-3892	111	20	−1)j	−1)j	NOUN
ejpam-3892	111	21	δm	δm	PROPN
ejpam-3892	111	22	(	(	PUNCT
ejpam-3892	111	23	m	m	PROPN
ejpam-3892	111	24	j	j	NOUN
ejpam-3892	111	25	)	)	PUNCT
ejpam-3892	111	26	gj+1	gj+1	X
ejpam-3892	111	27	(	(	PUNCT
ejpam-3892	111	28	x	x	NOUN
ejpam-3892	111	29	)	)	PUNCT
ejpam-3892	111	30	.	.	PUNCT
ejpam-3892	112	1	the	the	DET
ejpam-3892	112	2	density	density	NOUN
ejpam-3892	112	3	function	function	NOUN
ejpam-3892	112	4	corresponding	correspond	VERB
ejpam-3892	112	5	to	to	ADP
ejpam-3892	112	6	above	above	ADP
ejpam-3892	112	7	cdf	cdf	PROPN
ejpam-3892	112	8	is	be	AUX
ejpam-3892	112	9	fgt2−g	fgt2−g	NOUN
ejpam-3892	112	10	(	(	PUNCT
ejpam-3892	112	11	x	x	X
ejpam-3892	112	12	)	)	PUNCT
ejpam-3892	112	13	=	=	SYM
ejpam-3892	112	14	k∑	k∑	PROPN
ejpam-3892	113	1	m=0	m=0	PROPN
ejpam-3892	113	2	m∑	m∑	CCONJ
ejpam-3892	113	3	j=0	j=0	PROPN
ejpam-3892	113	4	(	(	PUNCT
ejpam-3892	113	5	−1)j	−1)j	NOUN
ejpam-3892	113	6	δm	δm	PROPN
ejpam-3892	113	7	(	(	PUNCT
ejpam-3892	113	8	m	m	PROPN
ejpam-3892	113	9	j	j	NOUN
ejpam-3892	113	10	)	)	PUNCT
ejpam-3892	114	1	(	(	PUNCT
ejpam-3892	114	2	j	j	PROPN
ejpam-3892	114	3	+	+	CCONJ
ejpam-3892	114	4	1	1	X
ejpam-3892	114	5	)	)	PUNCT
ejpam-3892	114	6	g	g	NOUN
ejpam-3892	114	7	(	(	PUNCT
ejpam-3892	114	8	x)gj	x)gj	PROPN
ejpam-3892	114	9	(	(	PUNCT
ejpam-3892	114	10	x	x	NOUN
ejpam-3892	114	11	)	)	PUNCT
ejpam-3892	114	12	.	.	PUNCT
ejpam-3892	115	1	now	now	ADV
ejpam-3892	115	2	using	use	VERB
ejpam-3892	115	3	the	the	DET
ejpam-3892	115	4	distribution	distribution	NOUN
ejpam-3892	115	5	of	of	ADP
ejpam-3892	115	6	order	order	NOUN
ejpam-3892	115	7	statistics	statistic	NOUN
ejpam-3892	115	8	,	,	PUNCT
ejpam-3892	115	9	as	as	SCONJ
ejpam-3892	115	10	given	give	VERB
ejpam-3892	115	11	by	by	ADP
ejpam-3892	115	12	[	[	X
ejpam-3892	115	13	5	5	NUM
ejpam-3892	115	14	]	]	PUNCT
ejpam-3892	115	15	and	and	CCONJ
ejpam-3892	115	16	[	[	X
ejpam-3892	115	17	15	15	NUM
ejpam-3892	115	18	]	]	PUNCT
ejpam-3892	115	19	,	,	PUNCT
ejpam-3892	115	20	the	the	DET
ejpam-3892	115	21	above	above	ADJ
ejpam-3892	115	22	density	density	NOUN
ejpam-3892	115	23	can	can	AUX
ejpam-3892	115	24	be	be	AUX
ejpam-3892	115	25	written	write	VERB
ejpam-3892	115	26	as	as	ADP
ejpam-3892	115	27	given	give	VERB
ejpam-3892	115	28	in	in	ADP
ejpam-3892	115	29	(	(	PUNCT
ejpam-3892	115	30	16	16	NUM
ejpam-3892	115	31	)	)	PUNCT
ejpam-3892	115	32	and	and	CCONJ
ejpam-3892	115	33	the	the	DET
ejpam-3892	115	34	proof	proof	NOUN
ejpam-3892	115	35	is	be	AUX
ejpam-3892	115	36	complete	complete	ADJ
ejpam-3892	115	37	.	.	PUNCT
ejpam-3892	116	1	3.4	3.4	NUM
ejpam-3892	116	2	.	.	PUNCT
ejpam-3892	116	3	representation	representation	NOUN
ejpam-3892	116	4	as	as	ADP
ejpam-3892	116	5	weighted	weight	VERB
ejpam-3892	116	6	sum	sum	NOUN
ejpam-3892	116	7	of	of	ADP
ejpam-3892	116	8	minimums	minimum	NOUN
ejpam-3892	116	9	it	it	PRON
ejpam-3892	116	10	is	be	AUX
ejpam-3892	116	11	sometime	sometime	ADV
ejpam-3892	116	12	easy	easy	ADJ
ejpam-3892	116	13	to	to	PART
ejpam-3892	116	14	study	study	VERB
ejpam-3892	116	15	the	the	DET
ejpam-3892	116	16	distribution	distribution	NOUN
ejpam-3892	116	17	of	of	ADP
ejpam-3892	116	18	minimum	minimum	NOUN
ejpam-3892	116	19	in	in	ADP
ejpam-3892	116	20	a	a	DET
ejpam-3892	116	21	random	random	ADJ
ejpam-3892	116	22	sample	sample	NOUN
ejpam-3892	116	23	from	from	ADP
ejpam-3892	116	24	some	some	DET
ejpam-3892	116	25	baseline	baseline	ADJ
ejpam-3892	116	26	distribution	distribution	NOUN
ejpam-3892	116	27	,	,	PUNCT
ejpam-3892	116	28	for	for	ADP
ejpam-3892	116	29	example	example	NOUN
ejpam-3892	116	30	the	the	DET
ejpam-3892	116	31	distribution	distribution	NOUN
ejpam-3892	116	32	of	of	ADP
ejpam-3892	116	33	minimum	minimum	NOUN
ejpam-3892	116	34	in	in	ADP
ejpam-3892	116	35	a	a	DET
ejpam-3892	116	36	random	random	ADJ
ejpam-3892	116	37	sample	sample	NOUN
ejpam-3892	116	38	from	from	ADP
ejpam-3892	116	39	exponential	exponential	ADJ
ejpam-3892	116	40	distribution	distribution	NOUN
ejpam-3892	116	41	is	be	AUX
ejpam-3892	116	42	also	also	ADV
ejpam-3892	116	43	exponential	exponential	ADJ
ejpam-3892	116	44	.	.	PUNCT
ejpam-3892	117	1	it	it	PRON
ejpam-3892	117	2	is	be	AUX
ejpam-3892	117	3	,	,	PUNCT
ejpam-3892	117	4	therefore	therefore	ADV
ejpam-3892	117	5	,	,	PUNCT
ejpam-3892	117	6	useful	useful	ADJ
ejpam-3892	117	7	to	to	PART
ejpam-3892	117	8	represent	represent	VERB
ejpam-3892	117	9	the	the	DET
ejpam-3892	117	10	density	density	NOUN
ejpam-3892	117	11	functions	function	NOUN
ejpam-3892	117	12	of	of	ADP
ejpam-3892	117	13	general	general	ADJ
ejpam-3892	117	14	transmuted	transmuted	ADJ
ejpam-3892	117	15	families	family	NOUN
ejpam-3892	117	16	of	of	ADP
ejpam-3892	117	17	distributions	distribution	NOUN
ejpam-3892	117	18	as	as	ADP
ejpam-3892	117	19	weighted	weight	VERB
ejpam-3892	117	20	sum	sum	NOUN
ejpam-3892	117	21	of	of	ADP
ejpam-3892	117	22	minimums	minimum	NOUN
ejpam-3892	117	23	in	in	ADP
ejpam-3892	117	24	a	a	DET
ejpam-3892	117	25	random	random	ADJ
ejpam-3892	117	26	sample	sample	NOUN
ejpam-3892	117	27	from	from	ADP
ejpam-3892	117	28	baseline	baseline	ADJ
ejpam-3892	117	29	distribution	distribution	NOUN
ejpam-3892	117	30	g	g	NOUN
ejpam-3892	117	31	(	(	PUNCT
ejpam-3892	117	32	x	x	NOUN
ejpam-3892	117	33	)	)	PUNCT
ejpam-3892	117	34	.	.	PUNCT
ejpam-3892	118	1	in	in	ADP
ejpam-3892	118	2	the	the	DET
ejpam-3892	118	3	following	follow	VERB
ejpam-3892	118	4	theorems	theorem	NOUN
ejpam-3892	118	5	we	we	PRON
ejpam-3892	118	6	have	have	AUX
ejpam-3892	118	7	given	give	VERB
ejpam-3892	118	8	representations	representation	NOUN
ejpam-3892	118	9	of	of	ADP
ejpam-3892	118	10	the	the	DET
ejpam-3892	118	11	density	density	NOUN
ejpam-3892	118	12	functions	function	NOUN
ejpam-3892	118	13	of	of	ADP
ejpam-3892	118	14	general	general	ADJ
ejpam-3892	118	15	transmuted	transmuted	ADJ
ejpam-3892	118	16	families	family	NOUN
ejpam-3892	118	17	of	of	ADP
ejpam-3892	118	18	distributions	distribution	NOUN
ejpam-3892	118	19	as	as	ADP
ejpam-3892	118	20	weighted	weight	VERB
ejpam-3892	118	21	sum	sum	NOUN
ejpam-3892	118	22	of	of	ADP
ejpam-3892	118	23	distributions	distribution	NOUN
ejpam-3892	118	24	of	of	ADP
ejpam-3892	118	25	minimums	minimum	NOUN
ejpam-3892	118	26	.	.	PUNCT
ejpam-3892	119	1	theorem	theorem	ADJ
ejpam-3892	119	2	4	4	NUM
ejpam-3892	119	3	.	.	PUNCT
ejpam-3892	120	1	the	the	DET
ejpam-3892	120	2	density	density	NOUN
ejpam-3892	120	3	function	function	NOUN
ejpam-3892	120	4	of	of	ADP
ejpam-3892	120	5	general	general	ADJ
ejpam-3892	120	6	transmuted	transmuted	ADJ
ejpam-3892	120	7	family	family	NOUN
ejpam-3892	120	8	-	-	PUNCT
ejpam-3892	120	9	i	i	PRON
ejpam-3892	120	10	(	(	PUNCT
ejpam-3892	120	11	9	9	X
ejpam-3892	120	12	)	)	PUNCT
ejpam-3892	120	13	can	can	AUX
ejpam-3892	120	14	be	be	AUX
ejpam-3892	120	15	written	write	VERB
ejpam-3892	120	16	as	as	ADP
ejpam-3892	120	17	weighted	weight	VERB
ejpam-3892	120	18	sum	sum	NOUN
ejpam-3892	120	19	of	of	ADP
ejpam-3892	120	20	minimums	minimum	NOUN
ejpam-3892	120	21	as	as	ADP
ejpam-3892	120	22	fgt1−g	fgt1−g	NOUN
ejpam-3892	120	23	(	(	PUNCT
ejpam-3892	120	24	x	x	X
ejpam-3892	120	25	)	)	PUNCT
ejpam-3892	120	26	=	=	SYM
ejpam-3892	120	27	g1:1	g1:1	INTJ
ejpam-3892	120	28	(	(	PUNCT
ejpam-3892	120	29	x	x	X
ejpam-3892	120	30	)	)	PUNCT
ejpam-3892	120	31	+	+	CCONJ
ejpam-3892	121	1	k∑	k∑	X
ejpam-3892	122	1	m=1	m=1	X
ejpam-3892	123	1	δm	δm	PRON
ejpam-3892	123	2	m−1∑	m−1∑	NUM
ejpam-3892	123	3	j=0	j=0	PROPN
ejpam-3892	123	4	(	(	PUNCT
ejpam-3892	123	5	−1)j	−1)j	X
ejpam-3892	123	6	(	(	PUNCT
ejpam-3892	123	7	m−	m−	PROPN
ejpam-3892	123	8	1	1	NUM
ejpam-3892	123	9	j	j	PROPN
ejpam-3892	123	10	)	)	PUNCT
ejpam-3892	123	11	×	×	NOUN
ejpam-3892	123	12	[	[	PUNCT
ejpam-3892	123	13	m+	m+	NUM
ejpam-3892	123	14	1	1	NUM
ejpam-3892	123	15	j	j	NOUN
ejpam-3892	123	16	+	+	CCONJ
ejpam-3892	123	17	2	2	NUM
ejpam-3892	123	18	g1	g1	NOUN
ejpam-3892	123	19	:	:	PUNCT
ejpam-3892	123	20	j+2	j+2	PROPN
ejpam-3892	123	21	(	(	PUNCT
ejpam-3892	123	22	x)−	x)−	PROPN
ejpam-3892	123	23	1	1	NUM
ejpam-3892	123	24	j	j	PROPN
ejpam-3892	123	25	+	+	CCONJ
ejpam-3892	123	26	1	1	NUM
ejpam-3892	123	27	g1	g1	NOUN
ejpam-3892	123	28	:	:	PUNCT
ejpam-3892	123	29	j+1	j+1	PRON
ejpam-3892	123	30	(	(	PUNCT
ejpam-3892	123	31	x	x	X
ejpam-3892	123	32	)	)	PUNCT
ejpam-3892	123	33	]	]	PUNCT
ejpam-3892	123	34	.	.	PUNCT
ejpam-3892	124	1	(	(	PUNCT
ejpam-3892	124	2	17	17	NUM
ejpam-3892	124	3	)	)	PUNCT
ejpam-3892	124	4	where	where	SCONJ
ejpam-3892	124	5	g1	g1	NOUN
ejpam-3892	124	6	:	:	PUNCT
ejpam-3892	124	7	n	n	CCONJ
ejpam-3892	124	8	(	(	PUNCT
ejpam-3892	124	9	x	x	X
ejpam-3892	124	10	)	)	PUNCT
ejpam-3892	124	11	is	be	AUX
ejpam-3892	124	12	distribution	distribution	NOUN
ejpam-3892	124	13	of	of	ADP
ejpam-3892	124	14	the	the	DET
ejpam-3892	124	15	minimum	minimum	NOUN
ejpam-3892	124	16	in	in	ADP
ejpam-3892	124	17	a	a	DET
ejpam-3892	124	18	sample	sample	NOUN
ejpam-3892	124	19	of	of	ADP
ejpam-3892	124	20	size	size	NOUN
ejpam-3892	124	21	n	n	CCONJ
ejpam-3892	124	22	from	from	ADP
ejpam-3892	124	23	g	g	PROPN
ejpam-3892	124	24	(	(	PUNCT
ejpam-3892	124	25	x	x	NOUN
ejpam-3892	124	26	)	)	PUNCT
ejpam-3892	124	27	.	.	PUNCT
ejpam-3892	125	1	s.	s.	PROPN
ejpam-3892	125	2	h.	h.	PROPN
ejpam-3892	125	3	shahbaz	shahbaz	PROPN
ejpam-3892	125	4	,	,	PUNCT
ejpam-3892	125	5	m.	m.	NOUN
ejpam-3892	125	6	m.	m.	PROPN
ejpam-3892	125	7	rahman	rahman	PROPN
ejpam-3892	125	8	,	,	PUNCT
ejpam-3892	125	9	m.	m.	PROPN
ejpam-3892	125	10	q.	q.	PROPN
ejpam-3892	125	11	shahbaz	shahbaz	PROPN
ejpam-3892	125	12	/	/	SYM
ejpam-3892	125	13	eur	eur	PROPN
ejpam-3892	125	14	.	.	PUNCT
ejpam-3892	126	1	j.	j.	PROPN
ejpam-3892	126	2	pure	pure	PROPN
ejpam-3892	126	3	appl	appl	PROPN
ejpam-3892	126	4	.	.	PROPN
ejpam-3892	126	5	math	math	PROPN
ejpam-3892	126	6	,	,	PUNCT
ejpam-3892	126	7	14	14	NUM
ejpam-3892	126	8	(	(	PUNCT
ejpam-3892	126	9	1	1	NUM
ejpam-3892	126	10	)	)	PUNCT
ejpam-3892	126	11	(	(	PUNCT
ejpam-3892	126	12	2021	2021	NUM
ejpam-3892	126	13	)	)	PUNCT
ejpam-3892	126	14	,	,	PUNCT
ejpam-3892	126	15	301	301	NUM
ejpam-3892	126	16	-	-	SYM
ejpam-3892	126	17	313	313	NUM
ejpam-3892	126	18	307	307	NUM
ejpam-3892	126	19	proof	proof	NOUN
ejpam-3892	126	20	.	.	PUNCT
ejpam-3892	127	1	the	the	DET
ejpam-3892	127	2	density	density	NOUN
ejpam-3892	127	3	function	function	NOUN
ejpam-3892	127	4	of	of	ADP
ejpam-3892	127	5	general	general	ADJ
ejpam-3892	127	6	transmuted	transmuted	ADJ
ejpam-3892	127	7	family	family	NOUN
ejpam-3892	127	8	of	of	ADP
ejpam-3892	127	9	distributions	distribution	NOUN
ejpam-3892	127	10	is	be	AUX
ejpam-3892	127	11	given	give	VERB
ejpam-3892	127	12	in	in	ADP
ejpam-3892	127	13	(	(	PUNCT
ejpam-3892	127	14	9	9	NUM
ejpam-3892	127	15	)	)	PUNCT
ejpam-3892	127	16	.	.	PUNCT
ejpam-3892	128	1	it	it	PRON
ejpam-3892	128	2	can	can	AUX
ejpam-3892	128	3	be	be	AUX
ejpam-3892	128	4	easily	easily	ADV
ejpam-3892	128	5	seen	see	VERB
ejpam-3892	128	6	that	that	SCONJ
ejpam-3892	128	7	the	the	DET
ejpam-3892	128	8	density	density	NOUN
ejpam-3892	128	9	function	function	NOUN
ejpam-3892	128	10	can	can	AUX
ejpam-3892	128	11	be	be	AUX
ejpam-3892	128	12	written	write	VERB
ejpam-3892	128	13	as	as	ADP
ejpam-3892	128	14	fgt1−g	fgt1−g	NOUN
ejpam-3892	128	15	(	(	PUNCT
ejpam-3892	128	16	x	x	X
ejpam-3892	128	17	)	)	PUNCT
ejpam-3892	128	18	=	=	SYM
ejpam-3892	128	19	g	g	PROPN
ejpam-3892	128	20	(	(	PUNCT
ejpam-3892	128	21	x	x	NOUN
ejpam-3892	128	22	)	)	PUNCT
ejpam-3892	128	23	[	[	PUNCT
ejpam-3892	128	24	1	1	NUM
ejpam-3892	128	25	+	+	NUM
ejpam-3892	128	26	k∑	k∑	NOUN
ejpam-3892	129	1	m=1	m=1	X
ejpam-3892	130	1	δm	δm	PROPN
ejpam-3892	131	1	[	[	X
ejpam-3892	131	2	1−	1−	NUM
ejpam-3892	131	3	{	{	PUNCT
ejpam-3892	131	4	1−g	1−g	NUM
ejpam-3892	131	5	(	(	PUNCT
ejpam-3892	131	6	x)}]m−1	x)}]m−1	PROPN
ejpam-3892	131	7	{	{	PUNCT
ejpam-3892	131	8	m	m	PROPN
ejpam-3892	131	9	[	[	X
ejpam-3892	131	10	1−g	1−g	NUM
ejpam-3892	131	11	(	(	PUNCT
ejpam-3892	131	12	x)]−g	x)]−g	X
ejpam-3892	131	13	(	(	PUNCT
ejpam-3892	131	14	x	x	NOUN
ejpam-3892	131	15	)	)	PUNCT
ejpam-3892	131	16	}	}	PUNCT
ejpam-3892	131	17	]	]	PUNCT
ejpam-3892	131	18	.	.	PUNCT
ejpam-3892	132	1	now	now	ADV
ejpam-3892	132	2	expansing	expanse	VERB
ejpam-3892	132	3	[	[	X
ejpam-3892	132	4	1−	1−	NUM
ejpam-3892	132	5	{	{	PUNCT
ejpam-3892	132	6	1−g	1−g	NUM
ejpam-3892	132	7	(	(	PUNCT
ejpam-3892	132	8	x)}]m−1	x)}]m−1	PROPN
ejpam-3892	132	9	binomially	binomially	ADV
ejpam-3892	132	10	and	and	CCONJ
ejpam-3892	132	11	after	after	ADP
ejpam-3892	132	12	some	some	PRON
ejpam-3892	132	13	re	re	NOUN
ejpam-3892	132	14	-	-	NOUN
ejpam-3892	132	15	arrangements	arrangement	NOUN
ejpam-3892	132	16	we	we	PRON
ejpam-3892	132	17	have	have	VERB
ejpam-3892	132	18	fgt1−g	fgt1−g	NOUN
ejpam-3892	132	19	(	(	PUNCT
ejpam-3892	132	20	x	x	X
ejpam-3892	132	21	)	)	PUNCT
ejpam-3892	132	22	=	=	SYM
ejpam-3892	132	23	g	g	PROPN
ejpam-3892	132	24	(	(	PUNCT
ejpam-3892	132	25	x	x	NOUN
ejpam-3892	132	26	)	)	PUNCT
ejpam-3892	133	1	+	+	CCONJ
ejpam-3892	133	2	k∑	k∑	X
ejpam-3892	134	1	m=1	m=1	X
ejpam-3892	134	2	δm	δm	PRON
ejpam-3892	134	3	m−1∑	m−1∑	NUM
ejpam-3892	134	4	j=0	j=0	PROPN
ejpam-3892	134	5	(	(	PUNCT
ejpam-3892	134	6	−1)j	−1)j	X
ejpam-3892	134	7	(	(	PUNCT
ejpam-3892	134	8	m−	m−	PROPN
ejpam-3892	134	9	1	1	NUM
ejpam-3892	134	10	j	j	PROPN
ejpam-3892	134	11	)	)	PUNCT
ejpam-3892	134	12	×	×	NOUN
ejpam-3892	134	13	[	[	PUNCT
ejpam-3892	134	14	m	m	NOUN
ejpam-3892	134	15	j	j	NOUN
ejpam-3892	134	16	+	+	CCONJ
ejpam-3892	134	17	2	2	NUM
ejpam-3892	134	18	g1	g1	NOUN
ejpam-3892	134	19	:	:	PUNCT
ejpam-3892	134	20	j+2	j+2	PROPN
ejpam-3892	134	21	(	(	PUNCT
ejpam-3892	134	22	x)−	x)−	PROPN
ejpam-3892	134	23	1	1	NUM
ejpam-3892	134	24	(	(	PUNCT
ejpam-3892	134	25	j	j	PROPN
ejpam-3892	134	26	+	+	CCONJ
ejpam-3892	134	27	1	1	NUM
ejpam-3892	134	28	)	)	PUNCT
ejpam-3892	134	29	(	(	PUNCT
ejpam-3892	134	30	j	j	PROPN
ejpam-3892	134	31	+	+	CCONJ
ejpam-3892	134	32	2	2	X
ejpam-3892	134	33	)	)	PUNCT
ejpam-3892	134	34	g2	g2	NOUN
ejpam-3892	134	35	:	:	PUNCT
ejpam-3892	134	36	j+2	j+2	PROPN
ejpam-3892	134	37	(	(	PUNCT
ejpam-3892	134	38	x	x	X
ejpam-3892	134	39	)	)	PUNCT
ejpam-3892	134	40	]	]	PUNCT
ejpam-3892	134	41	,	,	PUNCT
ejpam-3892	134	42	(	(	PUNCT
ejpam-3892	134	43	18	18	NUM
ejpam-3892	134	44	)	)	PUNCT
ejpam-3892	134	45	where	where	SCONJ
ejpam-3892	134	46	g1	g1	NOUN
ejpam-3892	134	47	:	:	PUNCT
ejpam-3892	134	48	n	n	CCONJ
ejpam-3892	134	49	(	(	PUNCT
ejpam-3892	134	50	x	x	X
ejpam-3892	134	51	)	)	PUNCT
ejpam-3892	134	52	is	be	AUX
ejpam-3892	134	53	density	density	NOUN
ejpam-3892	134	54	function	function	NOUN
ejpam-3892	134	55	of	of	ADP
ejpam-3892	134	56	minimum	minimum	NOUN
ejpam-3892	134	57	in	in	ADP
ejpam-3892	134	58	a	a	DET
ejpam-3892	134	59	sample	sample	NOUN
ejpam-3892	134	60	of	of	ADP
ejpam-3892	134	61	size	size	NOUN
ejpam-3892	134	62	n	n	CCONJ
ejpam-3892	134	63	from	from	ADP
ejpam-3892	134	64	g	g	PROPN
ejpam-3892	134	65	(	(	PUNCT
ejpam-3892	134	66	x	x	NOUN
ejpam-3892	134	67	)	)	PUNCT
ejpam-3892	134	68	and	and	CCONJ
ejpam-3892	134	69	g2	g2	PROPN
ejpam-3892	134	70	:	:	PUNCT
ejpam-3892	134	71	n	n	CCONJ
ejpam-3892	134	72	(	(	PUNCT
ejpam-3892	134	73	x	x	X
ejpam-3892	134	74	)	)	PUNCT
ejpam-3892	134	75	is	be	AUX
ejpam-3892	134	76	distribution	distribution	NOUN
ejpam-3892	134	77	of	of	ADP
ejpam-3892	134	78	second	second	ADJ
ejpam-3892	134	79	order	order	NOUN
ejpam-3892	134	80	statistics	statistic	NOUN
ejpam-3892	134	81	in	in	ADP
ejpam-3892	134	82	a	a	DET
ejpam-3892	134	83	sample	sample	NOUN
ejpam-3892	134	84	of	of	ADP
ejpam-3892	134	85	size	size	NOUN
ejpam-3892	134	86	n	n	CCONJ
ejpam-3892	134	87	from	from	ADP
ejpam-3892	134	88	g	g	PROPN
ejpam-3892	134	89	(	(	PUNCT
ejpam-3892	134	90	x	x	NOUN
ejpam-3892	134	91	)	)	PUNCT
ejpam-3892	134	92	.	.	PUNCT
ejpam-3892	135	1	now	now	ADV
ejpam-3892	135	2	using	use	VERB
ejpam-3892	135	3	following	follow	VERB
ejpam-3892	135	4	relation	relation	NOUN
ejpam-3892	135	5	between	between	ADP
ejpam-3892	135	6	density	density	NOUN
ejpam-3892	135	7	functions	function	NOUN
ejpam-3892	135	8	of	of	ADP
ejpam-3892	135	9	order	order	NOUN
ejpam-3892	135	10	statistics	statistic	NOUN
ejpam-3892	135	11	,	,	PUNCT
ejpam-3892	135	12	given	give	VERB
ejpam-3892	135	13	in	in	ADP
ejpam-3892	135	14	[	[	X
ejpam-3892	135	15	5	5	NUM
ejpam-3892	135	16	]	]	PUNCT
ejpam-3892	135	17	and	and	CCONJ
ejpam-3892	135	18	[	[	X
ejpam-3892	135	19	15	15	NUM
ejpam-3892	135	20	]	]	PUNCT
ejpam-3892	135	21	,	,	PUNCT
ejpam-3892	135	22	rgr+1	rgr+1	NOUN
ejpam-3892	135	23	:	:	PUNCT
ejpam-3892	135	24	n	n	CCONJ
ejpam-3892	135	25	(	(	PUNCT
ejpam-3892	135	26	x	x	X
ejpam-3892	135	27	)	)	PUNCT
ejpam-3892	135	28	=	=	SYM
ejpam-3892	135	29	ngr	ngr	PROPN
ejpam-3892	135	30	:	:	PUNCT
ejpam-3892	135	31	n−1	n−1	PROPN
ejpam-3892	135	32	(	(	PUNCT
ejpam-3892	135	33	x)−	x)−	PROPN
ejpam-3892	135	34	(	(	PUNCT
ejpam-3892	135	35	n−	n−	NOUN
ejpam-3892	135	36	r	r	NOUN
ejpam-3892	135	37	)	)	PUNCT
ejpam-3892	135	38	gr	gr	PROPN
ejpam-3892	135	39	:	:	PUNCT
ejpam-3892	135	40	n	n	CCONJ
ejpam-3892	135	41	(	(	PUNCT
ejpam-3892	135	42	x	x	NOUN
ejpam-3892	135	43	)	)	PUNCT
ejpam-3892	135	44	,	,	PUNCT
ejpam-3892	135	45	with	with	ADP
ejpam-3892	135	46	r	r	NOUN
ejpam-3892	135	47	=	=	SYM
ejpam-3892	135	48	1	1	NUM
ejpam-3892	135	49	and	and	CCONJ
ejpam-3892	135	50	n	n	NOUN
ejpam-3892	135	51	=	=	SYM
ejpam-3892	135	52	j	j	PROPN
ejpam-3892	135	53	+	+	CCONJ
ejpam-3892	135	54	2	2	NUM
ejpam-3892	135	55	we	we	PRON
ejpam-3892	135	56	have	have	VERB
ejpam-3892	135	57	g2	g2	NOUN
ejpam-3892	135	58	:	:	PUNCT
ejpam-3892	136	1	j+2	j+2	PROPN
ejpam-3892	136	2	(	(	PUNCT
ejpam-3892	136	3	x	x	X
ejpam-3892	136	4	)	)	PUNCT
ejpam-3892	136	5	=	=	SYM
ejpam-3892	136	6	(	(	PUNCT
ejpam-3892	136	7	j	j	PROPN
ejpam-3892	136	8	+	+	CCONJ
ejpam-3892	136	9	2	2	X
ejpam-3892	136	10	)	)	PUNCT
ejpam-3892	136	11	g1	g1	NOUN
ejpam-3892	136	12	:	:	PUNCT
ejpam-3892	136	13	j+1	j+1	PROPN
ejpam-3892	136	14	(	(	PUNCT
ejpam-3892	136	15	x)−	x)−	PROPN
ejpam-3892	136	16	(	(	PUNCT
ejpam-3892	136	17	j	j	PROPN
ejpam-3892	136	18	+	+	CCONJ
ejpam-3892	136	19	1	1	X
ejpam-3892	136	20	)	)	PUNCT
ejpam-3892	136	21	g1	g1	NOUN
ejpam-3892	136	22	:	:	PUNCT
ejpam-3892	136	23	j+2	j+2	PROPN
ejpam-3892	136	24	(	(	PUNCT
ejpam-3892	136	25	x	x	NOUN
ejpam-3892	136	26	)	)	PUNCT
ejpam-3892	136	27	.	.	PUNCT
ejpam-3892	137	1	using	use	VERB
ejpam-3892	137	2	this	this	PRON
ejpam-3892	137	3	in	in	ADP
ejpam-3892	137	4	(	(	PUNCT
ejpam-3892	137	5	18	18	NUM
ejpam-3892	137	6	)	)	PUNCT
ejpam-3892	137	7	and	and	CCONJ
ejpam-3892	137	8	after	after	ADP
ejpam-3892	137	9	some	some	DET
ejpam-3892	137	10	re	re	NOUN
ejpam-3892	137	11	-	-	NOUN
ejpam-3892	137	12	arrangements	arrangement	NOUN
ejpam-3892	137	13	we	we	PRON
ejpam-3892	137	14	have	have	VERB
ejpam-3892	137	15	(	(	PUNCT
ejpam-3892	137	16	17	17	NUM
ejpam-3892	137	17	)	)	PUNCT
ejpam-3892	137	18	and	and	CCONJ
ejpam-3892	137	19	hence	hence	ADV
ejpam-3892	137	20	the	the	DET
ejpam-3892	137	21	proof	proof	NOUN
ejpam-3892	137	22	is	be	AUX
ejpam-3892	137	23	complete	complete	ADJ
ejpam-3892	137	24	.	.	PUNCT
ejpam-3892	138	1	the	the	DET
ejpam-3892	138	2	representation	representation	NOUN
ejpam-3892	138	3	of	of	ADP
ejpam-3892	138	4	general	general	ADJ
ejpam-3892	138	5	transmuted	transmute	VERB
ejpam-3892	138	6	-	-	PUNCT
ejpam-3892	138	7	ii	ii	NOUN
ejpam-3892	138	8	family	family	NOUN
ejpam-3892	138	9	of	of	ADP
ejpam-3892	138	10	distributions	distribution	NOUN
ejpam-3892	138	11	(	(	PUNCT
ejpam-3892	138	12	gt2	gt2	PROPN
ejpam-3892	138	13	-	-	PUNCT
ejpam-3892	138	14	g	g	NOUN
ejpam-3892	138	15	)	)	PUNCT
ejpam-3892	138	16	as	as	ADP
ejpam-3892	138	17	weighted	weight	VERB
ejpam-3892	138	18	sum	sum	NOUN
ejpam-3892	138	19	of	of	ADP
ejpam-3892	138	20	distribution	distribution	NOUN
ejpam-3892	138	21	of	of	ADP
ejpam-3892	138	22	minimums	minimum	NOUN
ejpam-3892	138	23	is	be	AUX
ejpam-3892	138	24	given	give	VERB
ejpam-3892	138	25	in	in	ADP
ejpam-3892	138	26	the	the	DET
ejpam-3892	138	27	following	follow	VERB
ejpam-3892	138	28	theorem	theorem	NOUN
ejpam-3892	138	29	.	.	PUNCT
ejpam-3892	139	1	theorem	theorem	NOUN
ejpam-3892	139	2	5	5	NUM
ejpam-3892	139	3	.	.	PUNCT
ejpam-3892	140	1	the	the	DET
ejpam-3892	140	2	density	density	NOUN
ejpam-3892	140	3	function	function	NOUN
ejpam-3892	140	4	of	of	ADP
ejpam-3892	140	5	general	general	ADJ
ejpam-3892	140	6	transmuted	transmuted	ADJ
ejpam-3892	140	7	family	family	NOUN
ejpam-3892	140	8	-	-	PUNCT
ejpam-3892	140	9	ii	ii	NOUN
ejpam-3892	140	10	(	(	PUNCT
ejpam-3892	140	11	11	11	NUM
ejpam-3892	140	12	)	)	PUNCT
ejpam-3892	140	13	can	can	AUX
ejpam-3892	140	14	be	be	AUX
ejpam-3892	140	15	written	write	VERB
ejpam-3892	140	16	as	as	ADP
ejpam-3892	140	17	weighted	weight	VERB
ejpam-3892	140	18	sum	sum	NOUN
ejpam-3892	140	19	of	of	ADP
ejpam-3892	140	20	minimums	minimum	NOUN
ejpam-3892	140	21	as	as	ADP
ejpam-3892	140	22	fgt2−g	fgt2−g	X
ejpam-3892	140	23	(	(	PUNCT
ejpam-3892	140	24	x	x	X
ejpam-3892	140	25	)	)	PUNCT
ejpam-3892	140	26	=	=	SYM
ejpam-3892	140	27	g1:1	g1:1	INTJ
ejpam-3892	140	28	(	(	PUNCT
ejpam-3892	140	29	x	x	X
ejpam-3892	140	30	)	)	PUNCT
ejpam-3892	141	1	+	+	CCONJ
ejpam-3892	141	2	k∑	k∑	X
ejpam-3892	142	1	m=1	m=1	X
ejpam-3892	142	2	δm	δm	PROPN
ejpam-3892	143	1	[	[	X
ejpam-3892	143	2	g1	g1	NOUN
ejpam-3892	143	3	:	:	PUNCT
ejpam-3892	143	4	m+1	m+1	NUM
ejpam-3892	143	5	(	(	PUNCT
ejpam-3892	143	6	x)−	x)−	PROPN
ejpam-3892	143	7	g1	g1	PROPN
ejpam-3892	143	8	:	:	PUNCT
ejpam-3892	143	9	m	m	VERB
ejpam-3892	143	10	(	(	PUNCT
ejpam-3892	143	11	x	x	X
ejpam-3892	143	12	)	)	PUNCT
ejpam-3892	143	13	]	]	PUNCT
ejpam-3892	143	14	(	(	PUNCT
ejpam-3892	143	15	19	19	NUM
ejpam-3892	143	16	)	)	PUNCT
ejpam-3892	143	17	where	where	SCONJ
ejpam-3892	143	18	g1	g1	NOUN
ejpam-3892	143	19	:	:	PUNCT
ejpam-3892	143	20	n	n	CCONJ
ejpam-3892	143	21	(	(	PUNCT
ejpam-3892	143	22	x	x	X
ejpam-3892	143	23	)	)	PUNCT
ejpam-3892	143	24	is	be	AUX
ejpam-3892	143	25	distribution	distribution	NOUN
ejpam-3892	143	26	of	of	ADP
ejpam-3892	143	27	the	the	DET
ejpam-3892	143	28	minimum	minimum	NOUN
ejpam-3892	143	29	in	in	ADP
ejpam-3892	143	30	a	a	DET
ejpam-3892	143	31	sample	sample	NOUN
ejpam-3892	143	32	of	of	ADP
ejpam-3892	143	33	size	size	NOUN
ejpam-3892	143	34	n	n	CCONJ
ejpam-3892	143	35	from	from	ADP
ejpam-3892	143	36	g	g	PROPN
ejpam-3892	143	37	(	(	PUNCT
ejpam-3892	143	38	x	x	NOUN
ejpam-3892	143	39	)	)	PUNCT
ejpam-3892	143	40	.	.	PUNCT
ejpam-3892	144	1	proof	proof	NOUN
ejpam-3892	144	2	.	.	PUNCT
ejpam-3892	145	1	the	the	DET
ejpam-3892	145	2	density	density	NOUN
ejpam-3892	145	3	function	function	NOUN
ejpam-3892	145	4	of	of	ADP
ejpam-3892	145	5	general	general	ADJ
ejpam-3892	145	6	transmuted	transmuted	ADJ
ejpam-3892	145	7	family	family	NOUN
ejpam-3892	145	8	-	-	PUNCT
ejpam-3892	145	9	ii	ii	NOUN
ejpam-3892	145	10	of	of	ADP
ejpam-3892	145	11	distributions	distribution	NOUN
ejpam-3892	145	12	,	,	PUNCT
ejpam-3892	145	13	given	give	VERB
ejpam-3892	145	14	in	in	ADP
ejpam-3892	145	15	(	(	PUNCT
ejpam-3892	145	16	11	11	NUM
ejpam-3892	145	17	)	)	PUNCT
ejpam-3892	145	18	,	,	PUNCT
ejpam-3892	145	19	can	can	AUX
ejpam-3892	145	20	be	be	AUX
ejpam-3892	145	21	written	write	VERB
ejpam-3892	145	22	as	as	ADP
ejpam-3892	145	23	fgt2−g	fgt2−g	X
ejpam-3892	145	24	(	(	PUNCT
ejpam-3892	145	25	x	x	X
ejpam-3892	145	26	)	)	PUNCT
ejpam-3892	145	27	=	=	SYM
ejpam-3892	145	28	g	g	PROPN
ejpam-3892	145	29	(	(	PUNCT
ejpam-3892	145	30	x	x	NOUN
ejpam-3892	145	31	)	)	PUNCT
ejpam-3892	145	32	[	[	PUNCT
ejpam-3892	145	33	1−	1−	NUM
ejpam-3892	145	34	k∑	k∑	NOUN
ejpam-3892	146	1	m=1	m=1	X
ejpam-3892	146	2	δm	δm	INTJ
ejpam-3892	146	3	{	{	PUNCT
ejpam-3892	146	4	1−g	1−g	NUM
ejpam-3892	146	5	(	(	PUNCT
ejpam-3892	146	6	x)}m−1	x)}m−1	PROPN
ejpam-3892	146	7	{	{	PUNCT
ejpam-3892	146	8	(	(	PUNCT
ejpam-3892	146	9	m+	m+	NUM
ejpam-3892	146	10	1)g	1)g	PROPN
ejpam-3892	146	11	(	(	PUNCT
ejpam-3892	146	12	x)−	x)−	PROPN
ejpam-3892	146	13	1	1	NUM
ejpam-3892	146	14	}	}	PUNCT
ejpam-3892	146	15	]	]	PUNCT
ejpam-3892	146	16	now	now	ADV
ejpam-3892	146	17	using	use	VERB
ejpam-3892	146	18	the	the	DET
ejpam-3892	146	19	fact	fact	NOUN
ejpam-3892	146	20	that	that	SCONJ
ejpam-3892	146	21	g1	g1	NOUN
ejpam-3892	146	22	:	:	PUNCT
ejpam-3892	146	23	m	m	VERB
ejpam-3892	146	24	(	(	PUNCT
ejpam-3892	146	25	x	x	X
ejpam-3892	146	26	)	)	PUNCT
ejpam-3892	146	27	=	=	SYM
ejpam-3892	146	28	mg	mg	PROPN
ejpam-3892	146	29	(	(	PUNCT
ejpam-3892	146	30	x	x	NOUN
ejpam-3892	146	31	)	)	PUNCT
ejpam-3892	146	32	{	{	PUNCT
ejpam-3892	146	33	1−g	1−g	NUM
ejpam-3892	146	34	(	(	PUNCT
ejpam-3892	146	35	x)}m−1	x)}m−1	PROPN
ejpam-3892	146	36	s.	s.	PROPN
ejpam-3892	146	37	h.	h.	PROPN
ejpam-3892	146	38	shahbaz	shahbaz	PROPN
ejpam-3892	146	39	,	,	PUNCT
ejpam-3892	146	40	m.	m.	NOUN
ejpam-3892	146	41	m.	m.	PROPN
ejpam-3892	146	42	rahman	rahman	PROPN
ejpam-3892	146	43	,	,	PUNCT
ejpam-3892	146	44	m.	m.	PROPN
ejpam-3892	146	45	q.	q.	PROPN
ejpam-3892	146	46	shahbaz	shahbaz	PROPN
ejpam-3892	146	47	/	/	SYM
ejpam-3892	146	48	eur	eur	PROPN
ejpam-3892	146	49	.	.	PUNCT
ejpam-3892	147	1	j.	j.	PROPN
ejpam-3892	147	2	pure	pure	PROPN
ejpam-3892	147	3	appl	appl	PROPN
ejpam-3892	147	4	.	.	PROPN
ejpam-3892	147	5	math	math	PROPN
ejpam-3892	147	6	,	,	PUNCT
ejpam-3892	147	7	14	14	NUM
ejpam-3892	147	8	(	(	PUNCT
ejpam-3892	147	9	1	1	NUM
ejpam-3892	147	10	)	)	PUNCT
ejpam-3892	147	11	(	(	PUNCT
ejpam-3892	147	12	2021	2021	NUM
ejpam-3892	147	13	)	)	PUNCT
ejpam-3892	147	14	,	,	PUNCT
ejpam-3892	147	15	301	301	NUM
ejpam-3892	147	16	-	-	SYM
ejpam-3892	147	17	313	313	NUM
ejpam-3892	147	18	308	308	NUM
ejpam-3892	147	19	and	and	CCONJ
ejpam-3892	147	20	g2	g2	PROPN
ejpam-3892	147	21	:	:	PUNCT
ejpam-3892	148	1	m+1	m+1	NUM
ejpam-3892	148	2	(	(	PUNCT
ejpam-3892	148	3	x	x	X
ejpam-3892	148	4	)	)	PUNCT
ejpam-3892	148	5	=	=	SYM
ejpam-3892	148	6	m	m	PROPN
ejpam-3892	148	7	(	(	PUNCT
ejpam-3892	148	8	m+	m+	NOUN
ejpam-3892	148	9	1	1	NUM
ejpam-3892	148	10	)	)	PUNCT
ejpam-3892	148	11	g	g	NOUN
ejpam-3892	148	12	(	(	PUNCT
ejpam-3892	148	13	x)g	x)g	X
ejpam-3892	148	14	(	(	PUNCT
ejpam-3892	148	15	x	x	X
ejpam-3892	148	16	)	)	PUNCT
ejpam-3892	148	17	{	{	PUNCT
ejpam-3892	148	18	1−g	1−g	NUM
ejpam-3892	148	19	(	(	PUNCT
ejpam-3892	148	20	x)}m−1	x)}m−1	PROPN
ejpam-3892	148	21	,	,	PUNCT
ejpam-3892	148	22	the	the	DET
ejpam-3892	148	23	above	above	ADJ
ejpam-3892	148	24	density	density	NOUN
ejpam-3892	148	25	function	function	NOUN
ejpam-3892	148	26	can	can	AUX
ejpam-3892	148	27	be	be	AUX
ejpam-3892	148	28	written	write	VERB
ejpam-3892	148	29	as	as	ADP
ejpam-3892	148	30	fgt2−g	fgt2−g	X
ejpam-3892	148	31	(	(	PUNCT
ejpam-3892	148	32	x	x	X
ejpam-3892	148	33	)	)	PUNCT
ejpam-3892	148	34	=	=	SYM
ejpam-3892	148	35	g1:1	g1:1	INTJ
ejpam-3892	148	36	(	(	PUNCT
ejpam-3892	148	37	x	x	X
ejpam-3892	148	38	)	)	PUNCT
ejpam-3892	149	1	+	+	CCONJ
ejpam-3892	149	2	k∑	k∑	X
ejpam-3892	150	1	m=1	m=1	X
ejpam-3892	150	2	δm	δm	ADV
ejpam-3892	150	3	m	m	PRON
ejpam-3892	151	1	[	[	X
ejpam-3892	151	2	g1	g1	NOUN
ejpam-3892	151	3	:	:	PUNCT
ejpam-3892	151	4	m	m	PROPN
ejpam-3892	151	5	(	(	PUNCT
ejpam-3892	151	6	x)−	x)−	PROPN
ejpam-3892	151	7	g2	g2	PROPN
ejpam-3892	151	8	:	:	PUNCT
ejpam-3892	152	1	m+1	m+1	NUM
ejpam-3892	152	2	(	(	PUNCT
ejpam-3892	152	3	x	x	NOUN
ejpam-3892	152	4	)	)	PUNCT
ejpam-3892	152	5	]	]	PUNCT
ejpam-3892	152	6	.	.	PUNCT
ejpam-3892	153	1	(	(	PUNCT
ejpam-3892	153	2	20	20	NUM
ejpam-3892	153	3	)	)	PUNCT
ejpam-3892	153	4	again	again	ADV
ejpam-3892	153	5	using	use	VERB
ejpam-3892	153	6	the	the	DET
ejpam-3892	153	7	relation	relation	NOUN
ejpam-3892	153	8	rgr+1	rgr+1	NOUN
ejpam-3892	153	9	:	:	PUNCT
ejpam-3892	153	10	n	n	CCONJ
ejpam-3892	153	11	(	(	PUNCT
ejpam-3892	153	12	x	x	X
ejpam-3892	153	13	)	)	PUNCT
ejpam-3892	153	14	=	=	SYM
ejpam-3892	153	15	ngr	ngr	PROPN
ejpam-3892	153	16	:	:	PUNCT
ejpam-3892	153	17	n−1	n−1	PROPN
ejpam-3892	153	18	(	(	PUNCT
ejpam-3892	153	19	x)−	x)−	PROPN
ejpam-3892	153	20	(	(	PUNCT
ejpam-3892	153	21	n−	n−	NOUN
ejpam-3892	153	22	r	r	NOUN
ejpam-3892	153	23	)	)	PUNCT
ejpam-3892	153	24	gr	gr	PROPN
ejpam-3892	153	25	:	:	PUNCT
ejpam-3892	153	26	n	n	CCONJ
ejpam-3892	153	27	(	(	PUNCT
ejpam-3892	153	28	x	x	NOUN
ejpam-3892	153	29	)	)	PUNCT
ejpam-3892	153	30	,	,	PUNCT
ejpam-3892	153	31	with	with	ADP
ejpam-3892	153	32	r	r	NOUN
ejpam-3892	153	33	=	=	SYM
ejpam-3892	153	34	1	1	NUM
ejpam-3892	153	35	and	and	CCONJ
ejpam-3892	153	36	n	n	NOUN
ejpam-3892	153	37	=	=	NUM
ejpam-3892	153	38	m+	m+	NUM
ejpam-3892	153	39	1	1	NUM
ejpam-3892	153	40	we	we	PRON
ejpam-3892	153	41	have	have	VERB
ejpam-3892	153	42	g2	g2	NOUN
ejpam-3892	153	43	:	:	PUNCT
ejpam-3892	153	44	m+1	m+1	NUM
ejpam-3892	153	45	(	(	PUNCT
ejpam-3892	153	46	x	x	X
ejpam-3892	153	47	)	)	PUNCT
ejpam-3892	153	48	=	=	SYM
ejpam-3892	153	49	(	(	PUNCT
ejpam-3892	153	50	m+	m+	NOUN
ejpam-3892	153	51	1	1	NUM
ejpam-3892	153	52	)	)	PUNCT
ejpam-3892	153	53	g1	g1	NOUN
ejpam-3892	153	54	:	:	PUNCT
ejpam-3892	153	55	m	m	PROPN
ejpam-3892	153	56	(	(	PUNCT
ejpam-3892	153	57	x)−mg1	x)−mg1	PROPN
ejpam-3892	153	58	:	:	PUNCT
ejpam-3892	153	59	m+1	m+1	NUM
ejpam-3892	153	60	(	(	PUNCT
ejpam-3892	153	61	x	x	NOUN
ejpam-3892	153	62	)	)	PUNCT
ejpam-3892	153	63	.	.	PUNCT
ejpam-3892	154	1	using	use	VERB
ejpam-3892	154	2	this	this	PRON
ejpam-3892	154	3	in	in	ADP
ejpam-3892	154	4	(	(	PUNCT
ejpam-3892	154	5	20	20	NUM
ejpam-3892	154	6	)	)	PUNCT
ejpam-3892	154	7	and	and	CCONJ
ejpam-3892	154	8	after	after	ADP
ejpam-3892	154	9	some	some	DET
ejpam-3892	154	10	re	re	NOUN
ejpam-3892	154	11	-	-	NOUN
ejpam-3892	154	12	arrangements	arrangement	NOUN
ejpam-3892	154	13	we	we	PRON
ejpam-3892	154	14	have	have	VERB
ejpam-3892	154	15	(	(	PUNCT
ejpam-3892	154	16	19	19	NUM
ejpam-3892	154	17	)	)	PUNCT
ejpam-3892	154	18	and	and	CCONJ
ejpam-3892	154	19	the	the	DET
ejpam-3892	154	20	proof	proof	NOUN
ejpam-3892	154	21	is	be	AUX
ejpam-3892	154	22	complete	complete	ADJ
ejpam-3892	154	23	.	.	PUNCT
ejpam-3892	155	1	the	the	DET
ejpam-3892	155	2	results	result	NOUN
ejpam-3892	155	3	given	give	VERB
ejpam-3892	155	4	in	in	ADP
ejpam-3892	155	5	theorems	theorem	NOUN
ejpam-3892	155	6	(	(	PUNCT
ejpam-3892	155	7	3.2)-(3.5	3.2)-(3.5	NUM
ejpam-3892	155	8	)	)	PUNCT
ejpam-3892	155	9	are	be	AUX
ejpam-3892	155	10	very	very	ADV
ejpam-3892	155	11	useful	useful	ADJ
ejpam-3892	155	12	in	in	ADP
ejpam-3892	155	13	studying	study	VERB
ejpam-3892	155	14	the	the	DET
ejpam-3892	155	15	properties	property	NOUN
ejpam-3892	155	16	of	of	ADP
ejpam-3892	155	17	any	any	DET
ejpam-3892	155	18	members	member	NOUN
ejpam-3892	155	19	of	of	ADP
ejpam-3892	155	20	general	general	ADJ
ejpam-3892	155	21	transmuted	transmuted	ADJ
ejpam-3892	155	22	families	family	NOUN
ejpam-3892	155	23	of	of	ADP
ejpam-3892	155	24	distributions	distribution	NOUN
ejpam-3892	155	25	.	.	PUNCT
ejpam-3892	156	1	the	the	DET
ejpam-3892	156	2	choice	choice	NOUN
ejpam-3892	156	3	between	between	ADP
ejpam-3892	156	4	(	(	PUNCT
ejpam-3892	156	5	15	15	NUM
ejpam-3892	156	6	)	)	PUNCT
ejpam-3892	156	7	or	or	CCONJ
ejpam-3892	156	8	(	(	PUNCT
ejpam-3892	156	9	17	17	NUM
ejpam-3892	156	10	)	)	PUNCT
ejpam-3892	156	11	and	and	CCONJ
ejpam-3892	156	12	between	between	ADP
ejpam-3892	156	13	(	(	PUNCT
ejpam-3892	156	14	16	16	NUM
ejpam-3892	156	15	)	)	PUNCT
ejpam-3892	156	16	or	or	CCONJ
ejpam-3892	156	17	(	(	PUNCT
ejpam-3892	156	18	19	19	NUM
ejpam-3892	156	19	)	)	PUNCT
ejpam-3892	156	20	depends	depend	VERB
ejpam-3892	156	21	on	on	ADP
ejpam-3892	156	22	the	the	DET
ejpam-3892	156	23	form	form	NOUN
ejpam-3892	156	24	of	of	ADP
ejpam-3892	156	25	g	g	PROPN
ejpam-3892	156	26	(	(	PUNCT
ejpam-3892	156	27	x	x	NOUN
ejpam-3892	156	28	)	)	PUNCT
ejpam-3892	156	29	.	.	PUNCT
ejpam-3892	157	1	the	the	DET
ejpam-3892	157	2	relations	relation	NOUN
ejpam-3892	157	3	of	of	ADP
ejpam-3892	157	4	density	density	NOUN
ejpam-3892	157	5	functions	function	NOUN
ejpam-3892	157	6	given	give	VERB
ejpam-3892	157	7	above	above	ADV
ejpam-3892	157	8	are	be	AUX
ejpam-3892	157	9	also	also	ADV
ejpam-3892	157	10	useful	useful	ADJ
ejpam-3892	157	11	in	in	ADP
ejpam-3892	157	12	obtaining	obtain	VERB
ejpam-3892	157	13	moments	moment	NOUN
ejpam-3892	157	14	for	for	ADP
ejpam-3892	157	15	members	member	NOUN
ejpam-3892	157	16	of	of	ADP
ejpam-3892	157	17	general	general	ADJ
ejpam-3892	157	18	transmuted	transmuted	ADJ
ejpam-3892	157	19	families	family	NOUN
ejpam-3892	157	20	of	of	ADP
ejpam-3892	157	21	distributions	distribution	NOUN
ejpam-3892	157	22	which	which	PRON
ejpam-3892	157	23	are	be	AUX
ejpam-3892	157	24	given	give	VERB
ejpam-3892	157	25	in	in	ADP
ejpam-3892	157	26	the	the	DET
ejpam-3892	157	27	following	follow	VERB
ejpam-3892	157	28	sections	section	NOUN
ejpam-3892	157	29	.	.	PUNCT
ejpam-3892	158	1	4	4	X
ejpam-3892	158	2	.	.	NUM
ejpam-3892	158	3	moments	moment	NOUN
ejpam-3892	158	4	of	of	ADP
ejpam-3892	158	5	general	general	ADJ
ejpam-3892	158	6	transmuted	transmuted	ADJ
ejpam-3892	158	7	families	family	NOUN
ejpam-3892	158	8	of	of	ADP
ejpam-3892	158	9	distributions	distribution	NOUN
ejpam-3892	158	10	the	the	DET
ejpam-3892	158	11	moments	moment	NOUN
ejpam-3892	158	12	are	be	AUX
ejpam-3892	158	13	useful	useful	ADJ
ejpam-3892	158	14	in	in	ADP
ejpam-3892	158	15	studying	study	VERB
ejpam-3892	158	16	the	the	DET
ejpam-3892	158	17	properties	property	NOUN
ejpam-3892	158	18	of	of	ADP
ejpam-3892	158	19	any	any	DET
ejpam-3892	158	20	distribution	distribution	NOUN
ejpam-3892	158	21	.	.	PUNCT
ejpam-3892	159	1	the	the	DET
ejpam-3892	159	2	moments	moment	NOUN
ejpam-3892	159	3	of	of	ADP
ejpam-3892	159	4	any	any	DET
ejpam-3892	159	5	member	member	NOUN
ejpam-3892	159	6	of	of	ADP
ejpam-3892	159	7	general	general	ADJ
ejpam-3892	159	8	transmuted	transmuted	ADJ
ejpam-3892	159	9	family	family	NOUN
ejpam-3892	159	10	of	of	ADP
ejpam-3892	159	11	distributions	distribution	NOUN
ejpam-3892	159	12	can	can	AUX
ejpam-3892	159	13	be	be	AUX
ejpam-3892	159	14	obtained	obtain	VERB
ejpam-3892	159	15	from	from	ADP
ejpam-3892	159	16	the	the	DET
ejpam-3892	159	17	momenst	momenst	NOUN
ejpam-3892	159	18	of	of	ADP
ejpam-3892	159	19	order	order	NOUN
ejpam-3892	159	20	statistics	statistic	NOUN
ejpam-3892	159	21	from	from	ADP
ejpam-3892	159	22	the	the	DET
ejpam-3892	159	23	baseline	baseline	ADJ
ejpam-3892	159	24	distribuion	distribuion	NOUN
ejpam-3892	159	25	g	g	PROPN
ejpam-3892	159	26	(	(	PUNCT
ejpam-3892	159	27	x	x	NOUN
ejpam-3892	159	28	)	)	PUNCT
ejpam-3892	159	29	and	and	CCONJ
ejpam-3892	159	30	are	be	AUX
ejpam-3892	159	31	given	give	VERB
ejpam-3892	159	32	in	in	ADP
ejpam-3892	159	33	the	the	DET
ejpam-3892	159	34	following	follow	VERB
ejpam-3892	159	35	theorems	theorem	NOUN
ejpam-3892	159	36	.	.	PUNCT
ejpam-3892	160	1	theorem	theorem	NOUN
ejpam-3892	160	2	6	6	NUM
ejpam-3892	160	3	.	.	PUNCT
ejpam-3892	161	1	the	the	DET
ejpam-3892	161	2	moments	moment	NOUN
ejpam-3892	161	3	of	of	ADP
ejpam-3892	161	4	any	any	DET
ejpam-3892	161	5	member	member	NOUN
ejpam-3892	161	6	of	of	ADP
ejpam-3892	161	7	general	general	ADJ
ejpam-3892	161	8	transmuted	transmuted	ADJ
ejpam-3892	161	9	families	family	NOUN
ejpam-3892	161	10	of	of	ADP
ejpam-3892	161	11	distributions	distribution	NOUN
ejpam-3892	161	12	can	can	AUX
ejpam-3892	161	13	be	be	AUX
ejpam-3892	161	14	written	write	VERB
ejpam-3892	161	15	as	as	ADP
ejpam-3892	161	16	weighted	weight	VERB
ejpam-3892	161	17	sum	sum	NOUN
ejpam-3892	161	18	of	of	ADP
ejpam-3892	161	19	moments	moment	NOUN
ejpam-3892	161	20	of	of	ADP
ejpam-3892	161	21	maximums	maximum	NOUN
ejpam-3892	161	22	in	in	ADP
ejpam-3892	161	23	a	a	DET
ejpam-3892	161	24	sample	sample	NOUN
ejpam-3892	161	25	of	of	ADP
ejpam-3892	161	26	specific	specific	ADJ
ejpam-3892	161	27	size	size	NOUN
ejpam-3892	161	28	from	from	ADP
ejpam-3892	161	29	baseline	baseline	ADJ
ejpam-3892	161	30	distribution	distribution	NOUN
ejpam-3892	161	31	g	g	NOUN
ejpam-3892	161	32	(	(	PUNCT
ejpam-3892	161	33	x	x	NOUN
ejpam-3892	161	34	)	)	PUNCT
ejpam-3892	161	35	as	as	ADP
ejpam-3892	161	36	µ	µ	X
ejpam-3892	161	37	/q	/q	PUNCT
ejpam-3892	161	38	gt1−g	gt1−g	NOUN
ejpam-3892	161	39	=	=	PUNCT
ejpam-3892	161	40	(	(	PUNCT
ejpam-3892	161	41	1	1	NUM
ejpam-3892	161	42	+	+	CCONJ
ejpam-3892	161	43	δ1)µ	δ1)µ	PROPN
ejpam-3892	161	44	/q	/q	PUNCT
ejpam-3892	161	45	g(1:1	g(1:1	NOUN
ejpam-3892	161	46	)	)	PUNCT
ejpam-3892	162	1	+	+	CCONJ
ejpam-3892	162	2	k∑	k∑	VERB
ejpam-3892	162	3	m=2	m=2	PROPN
ejpam-3892	163	1	(	(	PUNCT
ejpam-3892	163	2	δm	δm	PROPN
ejpam-3892	163	3	−	−	PROPN
ejpam-3892	163	4	δm−1)µ	δm−1)µ	PUNCT
ejpam-3892	163	5	/q	/q	PUNCT
ejpam-3892	163	6	g(m	g(m	VERB
ejpam-3892	163	7	:	:	PUNCT
ejpam-3892	163	8	m	m	NOUN
ejpam-3892	163	9	)	)	PUNCT
ejpam-3892	164	1	−	−	PROPN
ejpam-3892	164	2	δkµ	δkµ	NOUN
ejpam-3892	164	3	/q	/q	PUNCT
ejpam-3892	164	4	g(k+1	g(k+1	NOUN
ejpam-3892	164	5	:	:	PUNCT
ejpam-3892	164	6	k+1	k+1	NUM
ejpam-3892	164	7	)	)	PUNCT
ejpam-3892	164	8	(	(	PUNCT
ejpam-3892	164	9	21	21	NUM
ejpam-3892	164	10	)	)	PUNCT
ejpam-3892	164	11	and	and	CCONJ
ejpam-3892	164	12	µ	µ	X
ejpam-3892	164	13	/q	/q	PUNCT
ejpam-3892	164	14	gt2−g	gt2−g	PROPN
ejpam-3892	164	15	=	=	PROPN
ejpam-3892	164	16	k∑	k∑	PROPN
ejpam-3892	165	1	m=0	m=0	PROPN
ejpam-3892	165	2	m∑	m∑	CCONJ
ejpam-3892	165	3	j=0	j=0	PROPN
ejpam-3892	165	4	(	(	PUNCT
ejpam-3892	165	5	−1)j	−1)j	NOUN
ejpam-3892	165	6	δm	δm	PROPN
ejpam-3892	165	7	(	(	PUNCT
ejpam-3892	165	8	m	m	PROPN
ejpam-3892	165	9	j	j	PROPN
ejpam-3892	165	10	)	)	PUNCT
ejpam-3892	165	11	µ	µ	X
ejpam-3892	165	12	/q	/q	PUNCT
ejpam-3892	165	13	g(j+1	g(j+1	NOUN
ejpam-3892	165	14	:	:	PUNCT
ejpam-3892	165	15	j+1	j+1	NUM
ejpam-3892	165	16	)	)	PUNCT
ejpam-3892	165	17	,	,	PUNCT
ejpam-3892	165	18	(	(	PUNCT
ejpam-3892	165	19	22	22	NUM
ejpam-3892	165	20	)	)	PUNCT
ejpam-3892	165	21	where	where	SCONJ
ejpam-3892	165	22	µ	µ	PROPN
ejpam-3892	165	23	/q	/q	PUNCT
ejpam-3892	165	24	g(n	g(n	PROPN
ejpam-3892	165	25	:	:	PUNCT
ejpam-3892	165	26	n	n	CCONJ
ejpam-3892	165	27	)	)	PUNCT
ejpam-3892	165	28	is	be	AUX
ejpam-3892	165	29	qth	qth	NOUN
ejpam-3892	165	30	raw	raw	ADJ
ejpam-3892	165	31	moment	moment	NOUN
ejpam-3892	165	32	of	of	ADP
ejpam-3892	165	33	maximum	maximum	NOUN
ejpam-3892	165	34	in	in	ADP
ejpam-3892	165	35	a	a	DET
ejpam-3892	165	36	sample	sample	NOUN
ejpam-3892	165	37	of	of	ADP
ejpam-3892	165	38	size	size	NOUN
ejpam-3892	165	39	n	n	CCONJ
ejpam-3892	165	40	from	from	ADP
ejpam-3892	165	41	baseline	baseline	ADJ
ejpam-3892	165	42	distribution	distribution	NOUN
ejpam-3892	165	43	g	g	NOUN
ejpam-3892	165	44	(	(	PUNCT
ejpam-3892	165	45	x	x	NOUN
ejpam-3892	165	46	)	)	PUNCT
ejpam-3892	165	47	.	.	PUNCT
ejpam-3892	166	1	s.	s.	PROPN
ejpam-3892	166	2	h.	h.	PROPN
ejpam-3892	166	3	shahbaz	shahbaz	PROPN
ejpam-3892	166	4	,	,	PUNCT
ejpam-3892	166	5	m.	m.	NOUN
ejpam-3892	166	6	m.	m.	PROPN
ejpam-3892	166	7	rahman	rahman	PROPN
ejpam-3892	166	8	,	,	PUNCT
ejpam-3892	166	9	m.	m.	PROPN
ejpam-3892	166	10	q.	q.	PROPN
ejpam-3892	166	11	shahbaz	shahbaz	PROPN
ejpam-3892	166	12	/	/	SYM
ejpam-3892	166	13	eur	eur	PROPN
ejpam-3892	166	14	.	.	PUNCT
ejpam-3892	167	1	j.	j.	PROPN
ejpam-3892	167	2	pure	pure	PROPN
ejpam-3892	167	3	appl	appl	PROPN
ejpam-3892	167	4	.	.	PROPN
ejpam-3892	167	5	math	math	PROPN
ejpam-3892	167	6	,	,	PUNCT
ejpam-3892	167	7	14	14	NUM
ejpam-3892	167	8	(	(	PUNCT
ejpam-3892	167	9	1	1	NUM
ejpam-3892	167	10	)	)	PUNCT
ejpam-3892	167	11	(	(	PUNCT
ejpam-3892	167	12	2021	2021	NUM
ejpam-3892	167	13	)	)	PUNCT
ejpam-3892	167	14	,	,	PUNCT
ejpam-3892	167	15	301	301	NUM
ejpam-3892	167	16	-	-	SYM
ejpam-3892	167	17	313	313	NUM
ejpam-3892	167	18	309	309	NUM
ejpam-3892	167	19	proof	proof	NOUN
ejpam-3892	167	20	.	.	PUNCT
ejpam-3892	168	1	the	the	DET
ejpam-3892	168	2	theorem	theorem	NOUN
ejpam-3892	168	3	can	can	AUX
ejpam-3892	168	4	be	be	AUX
ejpam-3892	168	5	readily	readily	ADV
ejpam-3892	168	6	proved	prove	VERB
ejpam-3892	168	7	by	by	ADP
ejpam-3892	168	8	using	use	VERB
ejpam-3892	168	9	the	the	DET
ejpam-3892	168	10	representations	representation	NOUN
ejpam-3892	168	11	of	of	ADP
ejpam-3892	168	12	density	density	NOUN
ejpam-3892	168	13	functions	function	NOUN
ejpam-3892	168	14	of	of	ADP
ejpam-3892	168	15	general	general	ADJ
ejpam-3892	168	16	transmuted	transmuted	ADJ
ejpam-3892	168	17	families	family	NOUN
ejpam-3892	168	18	of	of	ADP
ejpam-3892	168	19	distributions	distribution	NOUN
ejpam-3892	168	20	as	as	ADP
ejpam-3892	168	21	weighted	weight	VERB
ejpam-3892	168	22	sum	sum	NOUN
ejpam-3892	168	23	of	of	ADP
ejpam-3892	168	24	maximums	maximum	NOUN
ejpam-3892	168	25	,	,	PUNCT
ejpam-3892	168	26	given	give	VERB
ejpam-3892	168	27	in	in	ADP
ejpam-3892	168	28	(	(	PUNCT
ejpam-3892	168	29	15	15	NUM
ejpam-3892	168	30	)	)	PUNCT
ejpam-3892	168	31	and	and	CCONJ
ejpam-3892	168	32	(	(	PUNCT
ejpam-3892	168	33	16	16	NUM
ejpam-3892	168	34	)	)	PUNCT
ejpam-3892	168	35	.	.	PUNCT
ejpam-3892	169	1	again	again	ADV
ejpam-3892	169	2	the	the	DET
ejpam-3892	169	3	moments	moment	NOUN
ejpam-3892	169	4	of	of	ADP
ejpam-3892	169	5	general	general	ADJ
ejpam-3892	169	6	transmuted	transmuted	ADJ
ejpam-3892	169	7	families	family	NOUN
ejpam-3892	169	8	of	of	ADP
ejpam-3892	169	9	distributions	distribution	NOUN
ejpam-3892	169	10	can	can	AUX
ejpam-3892	169	11	be	be	AUX
ejpam-3892	169	12	obtained	obtain	VERB
ejpam-3892	169	13	from	from	ADP
ejpam-3892	169	14	moments	moment	NOUN
ejpam-3892	169	15	of	of	ADP
ejpam-3892	169	16	minimum	minimum	NOUN
ejpam-3892	169	17	in	in	ADP
ejpam-3892	169	18	a	a	DET
ejpam-3892	169	19	sample	sample	NOUN
ejpam-3892	169	20	of	of	ADP
ejpam-3892	169	21	specific	specific	ADJ
ejpam-3892	169	22	sizes	size	NOUN
ejpam-3892	169	23	from	from	ADP
ejpam-3892	169	24	baseline	baseline	ADJ
ejpam-3892	169	25	distribution	distribution	NOUN
ejpam-3892	169	26	g	g	NOUN
ejpam-3892	169	27	(	(	PUNCT
ejpam-3892	169	28	x	x	NOUN
ejpam-3892	169	29	)	)	PUNCT
ejpam-3892	169	30	and	and	CCONJ
ejpam-3892	169	31	is	be	AUX
ejpam-3892	169	32	given	give	VERB
ejpam-3892	169	33	in	in	ADP
ejpam-3892	169	34	the	the	DET
ejpam-3892	169	35	following	follow	VERB
ejpam-3892	169	36	theorem	theorem	NOUN
ejpam-3892	169	37	.	.	PUNCT
ejpam-3892	170	1	theorem	theorem	PROPN
ejpam-3892	170	2	7	7	NUM
ejpam-3892	170	3	.	.	PUNCT
ejpam-3892	171	1	the	the	DET
ejpam-3892	171	2	moments	moment	NOUN
ejpam-3892	171	3	of	of	ADP
ejpam-3892	171	4	any	any	DET
ejpam-3892	171	5	member	member	NOUN
ejpam-3892	171	6	of	of	ADP
ejpam-3892	171	7	general	general	ADJ
ejpam-3892	171	8	transmuted	transmuted	ADJ
ejpam-3892	171	9	families	family	NOUN
ejpam-3892	171	10	of	of	ADP
ejpam-3892	171	11	distributions	distribution	NOUN
ejpam-3892	171	12	can	can	AUX
ejpam-3892	171	13	be	be	AUX
ejpam-3892	171	14	written	write	VERB
ejpam-3892	171	15	as	as	ADP
ejpam-3892	171	16	weighted	weight	VERB
ejpam-3892	171	17	sum	sum	NOUN
ejpam-3892	171	18	of	of	ADP
ejpam-3892	171	19	moments	moment	NOUN
ejpam-3892	171	20	of	of	ADP
ejpam-3892	171	21	minimums	minimum	NOUN
ejpam-3892	171	22	in	in	ADP
ejpam-3892	171	23	a	a	DET
ejpam-3892	171	24	sample	sample	NOUN
ejpam-3892	171	25	of	of	ADP
ejpam-3892	171	26	specific	specific	ADJ
ejpam-3892	171	27	size	size	NOUN
ejpam-3892	171	28	from	from	ADP
ejpam-3892	171	29	baseline	baseline	ADJ
ejpam-3892	171	30	distribution	distribution	NOUN
ejpam-3892	171	31	g	g	NOUN
ejpam-3892	171	32	(	(	PUNCT
ejpam-3892	171	33	x	x	NOUN
ejpam-3892	171	34	)	)	PUNCT
ejpam-3892	171	35	as	as	ADP
ejpam-3892	171	36	µ	µ	X
ejpam-3892	171	37	/q	/q	PUNCT
ejpam-3892	171	38	gt1−g	gt1−g	NOUN
ejpam-3892	171	39	=	=	PROPN
ejpam-3892	171	40	µ	µ	PROPN
ejpam-3892	171	41	/q	/q	PUNCT
ejpam-3892	171	42	g(1:1	g(1:1	NOUN
ejpam-3892	171	43	)	)	PUNCT
ejpam-3892	172	1	+	+	CCONJ
ejpam-3892	173	1	k∑	k∑	NOUN
ejpam-3892	174	1	m=1	m=1	X
ejpam-3892	175	1	δm	δm	PRON
ejpam-3892	175	2	m−1∑	m−1∑	NUM
ejpam-3892	175	3	j=0	j=0	PROPN
ejpam-3892	175	4	(	(	PUNCT
ejpam-3892	175	5	−1)j	−1)j	X
ejpam-3892	175	6	(	(	PUNCT
ejpam-3892	175	7	m−	m−	PROPN
ejpam-3892	175	8	1	1	NUM
ejpam-3892	175	9	j	j	PROPN
ejpam-3892	175	10	)	)	PUNCT
ejpam-3892	175	11	×	×	NOUN
ejpam-3892	175	12	[	[	PUNCT
ejpam-3892	175	13	m+	m+	NUM
ejpam-3892	175	14	1	1	NUM
ejpam-3892	175	15	j	j	NOUN
ejpam-3892	175	16	+	+	CCONJ
ejpam-3892	175	17	2	2	NUM
ejpam-3892	175	18	µ	µ	X
ejpam-3892	175	19	/q	/q	PUNCT
ejpam-3892	176	1	g(1	g(1	NOUN
ejpam-3892	176	2	:	:	PUNCT
ejpam-3892	176	3	j+2	j+2	NOUN
ejpam-3892	176	4	)	)	PUNCT
ejpam-3892	176	5	−	−	PROPN
ejpam-3892	176	6	1	1	NUM
ejpam-3892	176	7	j	j	NOUN
ejpam-3892	176	8	+	+	CCONJ
ejpam-3892	176	9	1	1	NUM
ejpam-3892	176	10	µ	µ	X
ejpam-3892	176	11	/q	/q	PUNCT
ejpam-3892	177	1	g(1	g(1	NOUN
ejpam-3892	177	2	:	:	PUNCT
ejpam-3892	177	3	j+1	j+1	NUM
ejpam-3892	177	4	)	)	PUNCT
ejpam-3892	177	5	]	]	PUNCT
ejpam-3892	177	6	,	,	PUNCT
ejpam-3892	177	7	(	(	PUNCT
ejpam-3892	177	8	23	23	NUM
ejpam-3892	177	9	)	)	PUNCT
ejpam-3892	177	10	and	and	CCONJ
ejpam-3892	177	11	µ	µ	X
ejpam-3892	177	12	/q	/q	PUNCT
ejpam-3892	177	13	gt2−g	gt2−g	ADP
ejpam-3892	177	14	=	=	SYM
ejpam-3892	177	15	µ	µ	X
ejpam-3892	177	16	/q	/q	PUNCT
ejpam-3892	177	17	g(1:1	g(1:1	NOUN
ejpam-3892	177	18	)	)	PUNCT
ejpam-3892	178	1	+	+	CCONJ
ejpam-3892	179	1	k∑	k∑	NOUN
ejpam-3892	180	1	m=1	m=1	X
ejpam-3892	181	1	δm	δm	INTJ
ejpam-3892	181	2	{	{	PUNCT
ejpam-3892	181	3	µ	µ	X
ejpam-3892	181	4	/q	/q	PUNCT
ejpam-3892	181	5	g(1	g(1	NOUN
ejpam-3892	181	6	:	:	PUNCT
ejpam-3892	181	7	m+1	m+1	NUM
ejpam-3892	181	8	)	)	PUNCT
ejpam-3892	181	9	−	−	PROPN
ejpam-3892	181	10	µ	µ	PROPN
ejpam-3892	181	11	/q	/q	PUNCT
ejpam-3892	181	12	g(1	g(1	NOUN
ejpam-3892	181	13	:	:	PUNCT
ejpam-3892	181	14	m	m	VERB
ejpam-3892	181	15	)	)	PUNCT
ejpam-3892	181	16	}	}	PUNCT
ejpam-3892	181	17	,	,	PUNCT
ejpam-3892	181	18	(	(	PUNCT
ejpam-3892	181	19	24	24	NUM
ejpam-3892	181	20	)	)	PUNCT
ejpam-3892	181	21	where	where	SCONJ
ejpam-3892	181	22	µ	µ	X
ejpam-3892	181	23	/q	/q	PUNCT
ejpam-3892	181	24	g(1	g(1	NOUN
ejpam-3892	181	25	:	:	PUNCT
ejpam-3892	181	26	n	n	CCONJ
ejpam-3892	181	27	)	)	PUNCT
ejpam-3892	181	28	is	be	AUX
ejpam-3892	181	29	qth	qth	NOUN
ejpam-3892	181	30	raw	raw	ADJ
ejpam-3892	181	31	moment	moment	NOUN
ejpam-3892	181	32	of	of	ADP
ejpam-3892	181	33	minimum	minimum	NOUN
ejpam-3892	181	34	in	in	ADP
ejpam-3892	181	35	a	a	DET
ejpam-3892	181	36	sample	sample	NOUN
ejpam-3892	181	37	of	of	ADP
ejpam-3892	181	38	size	size	NOUN
ejpam-3892	181	39	n	n	CCONJ
ejpam-3892	181	40	from	from	ADP
ejpam-3892	181	41	baseline	baseline	ADJ
ejpam-3892	181	42	distribution	distribution	NOUN
ejpam-3892	181	43	g	g	NOUN
ejpam-3892	181	44	(	(	PUNCT
ejpam-3892	181	45	x	x	NOUN
ejpam-3892	181	46	)	)	PUNCT
ejpam-3892	181	47	.	.	PUNCT
ejpam-3892	182	1	proof	proof	NOUN
ejpam-3892	182	2	.	.	PUNCT
ejpam-3892	183	1	the	the	DET
ejpam-3892	183	2	theorem	theorem	NOUN
ejpam-3892	183	3	can	can	AUX
ejpam-3892	183	4	be	be	AUX
ejpam-3892	183	5	readily	readily	ADV
ejpam-3892	183	6	proved	prove	VERB
ejpam-3892	183	7	by	by	ADP
ejpam-3892	183	8	using	use	VERB
ejpam-3892	183	9	the	the	DET
ejpam-3892	183	10	representations	representation	NOUN
ejpam-3892	183	11	of	of	ADP
ejpam-3892	183	12	density	density	NOUN
ejpam-3892	183	13	functions	function	NOUN
ejpam-3892	183	14	of	of	ADP
ejpam-3892	183	15	general	general	ADJ
ejpam-3892	183	16	transmuted	transmuted	ADJ
ejpam-3892	183	17	families	family	NOUN
ejpam-3892	183	18	of	of	ADP
ejpam-3892	183	19	distributions	distribution	NOUN
ejpam-3892	183	20	as	as	ADP
ejpam-3892	183	21	weighted	weight	VERB
ejpam-3892	183	22	sum	sum	NOUN
ejpam-3892	183	23	of	of	ADP
ejpam-3892	183	24	minimums	minimum	NOUN
ejpam-3892	183	25	,	,	PUNCT
ejpam-3892	183	26	given	give	VERB
ejpam-3892	183	27	in	in	ADP
ejpam-3892	183	28	(	(	PUNCT
ejpam-3892	183	29	17	17	NUM
ejpam-3892	183	30	)	)	PUNCT
ejpam-3892	183	31	and	and	CCONJ
ejpam-3892	183	32	(	(	PUNCT
ejpam-3892	183	33	19	19	NUM
ejpam-3892	183	34	)	)	PUNCT
ejpam-3892	183	35	.	.	PUNCT
ejpam-3892	184	1	in	in	ADP
ejpam-3892	184	2	the	the	DET
ejpam-3892	184	3	following	follow	VERB
ejpam-3892	184	4	section	section	NOUN
ejpam-3892	184	5	we	we	PRON
ejpam-3892	184	6	will	will	AUX
ejpam-3892	184	7	discuss	discuss	VERB
ejpam-3892	184	8	an	an	DET
ejpam-3892	184	9	example	example	NOUN
ejpam-3892	184	10	of	of	ADP
ejpam-3892	184	11	general	general	ADJ
ejpam-3892	184	12	transmuted	transmuted	ADJ
ejpam-3892	184	13	distribution	distribution	NOUN
ejpam-3892	184	14	,	,	PUNCT
ejpam-3892	184	15	the	the	DET
ejpam-3892	184	16	general	general	ADJ
ejpam-3892	184	17	transmuted	transmute	VERB
ejpam-3892	184	18	weibull	weibull	NOUN
ejpam-3892	184	19	distribution	distribution	NOUN
ejpam-3892	184	20	.	.	PUNCT
ejpam-3892	185	1	5	5	X
ejpam-3892	185	2	.	.	X
ejpam-3892	185	3	general	general	ADJ
ejpam-3892	185	4	transmuted	transmute	VERB
ejpam-3892	185	5	weibull	weibull	NOUN
ejpam-3892	185	6	distribution	distribution	NOUN
ejpam-3892	185	7	the	the	DET
ejpam-3892	185	8	weibull	weibull	PROPN
ejpam-3892	185	9	distribution	distribution	NOUN
ejpam-3892	185	10	,	,	PUNCT
ejpam-3892	185	11	proposed	propose	VERB
ejpam-3892	185	12	by	by	ADP
ejpam-3892	185	13	[	[	X
ejpam-3892	185	14	17	17	NUM
ejpam-3892	185	15	]	]	PUNCT
ejpam-3892	185	16	,	,	PUNCT
ejpam-3892	185	17	is	be	AUX
ejpam-3892	185	18	a	a	DET
ejpam-3892	185	19	useful	useful	ADJ
ejpam-3892	185	20	distribution	distribution	NOUN
ejpam-3892	185	21	and	and	CCONJ
ejpam-3892	185	22	has	have	VERB
ejpam-3892	185	23	widespread	widespread	ADJ
ejpam-3892	185	24	applications	application	NOUN
ejpam-3892	185	25	in	in	ADP
ejpam-3892	185	26	many	many	ADJ
ejpam-3892	185	27	area	area	NOUN
ejpam-3892	185	28	of	of	ADP
ejpam-3892	185	29	life	life	NOUN
ejpam-3892	185	30	.	.	PUNCT
ejpam-3892	186	1	the	the	DET
ejpam-3892	186	2	density	density	NOUN
ejpam-3892	186	3	and	and	CCONJ
ejpam-3892	186	4	distribution	distribution	NOUN
ejpam-3892	186	5	functions	function	NOUN
ejpam-3892	186	6	of	of	ADP
ejpam-3892	186	7	weibull	weibull	NOUN
ejpam-3892	186	8	distribution	distribution	NOUN
ejpam-3892	186	9	are	be	AUX
ejpam-3892	186	10	f	f	X
ejpam-3892	186	11	(	(	PUNCT
ejpam-3892	186	12	x	x	NOUN
ejpam-3892	186	13	)	)	PUNCT
ejpam-3892	186	14	=	=	NOUN
ejpam-3892	186	15	β	β	NOUN
ejpam-3892	186	16	θβ	θβ	ADP
ejpam-3892	186	17	xβ−1e−(x	xβ−1e−(x	PROPN
ejpam-3892	186	18	/	/	SYM
ejpam-3892	186	19	θ)β	θ)β	PUNCT
ejpam-3892	186	20	;	;	PUNCT
ejpam-3892	186	21	x	x	X
ejpam-3892	186	22	,	,	PUNCT
ejpam-3892	186	23	β	β	X
ejpam-3892	186	24	,	,	PUNCT
ejpam-3892	186	25	θ	θ	PROPN
ejpam-3892	186	26	>	>	X
ejpam-3892	186	27	0	0	PUNCT
ejpam-3892	187	1	(	(	PUNCT
ejpam-3892	187	2	25	25	NUM
ejpam-3892	187	3	)	)	PUNCT
ejpam-3892	187	4	and	and	CCONJ
ejpam-3892	187	5	f	f	PROPN
ejpam-3892	187	6	(	(	PUNCT
ejpam-3892	187	7	x	x	X
ejpam-3892	187	8	)	)	PUNCT
ejpam-3892	187	9	=	=	SYM
ejpam-3892	187	10	1−	1−	NUM
ejpam-3892	187	11	e−(x	e−(x	NOUN
ejpam-3892	187	12	/	/	PUNCT
ejpam-3892	187	13	θ)β	θ)β	PUNCT
ejpam-3892	187	14	;	;	PUNCT
ejpam-3892	187	15	x	x	X
ejpam-3892	187	16	,	,	PUNCT
ejpam-3892	187	17	β	β	X
ejpam-3892	187	18	,	,	PUNCT
ejpam-3892	187	19	θ	θ	PROPN
ejpam-3892	187	20	>	>	X
ejpam-3892	187	21	0	0	NUM
ejpam-3892	187	22	.	.	PUNCT
ejpam-3892	188	1	(	(	PUNCT
ejpam-3892	188	2	26	26	NUM
ejpam-3892	188	3	)	)	PUNCT
ejpam-3892	188	4	the	the	DET
ejpam-3892	188	5	weibull	weibull	PROPN
ejpam-3892	188	6	distribution	distribution	NOUN
ejpam-3892	188	7	has	have	AUX
ejpam-3892	188	8	been	be	AUX
ejpam-3892	188	9	used	use	VERB
ejpam-3892	188	10	by	by	ADP
ejpam-3892	188	11	[	[	X
ejpam-3892	188	12	3	3	X
ejpam-3892	188	13	]	]	PUNCT
ejpam-3892	188	14	with	with	ADP
ejpam-3892	188	15	the	the	DET
ejpam-3892	188	16	quadratic	quadratic	ADJ
ejpam-3892	188	17	transmutation	transmutation	NOUN
ejpam-3892	188	18	to	to	PART
ejpam-3892	188	19	propose	propose	VERB
ejpam-3892	188	20	the	the	DET
ejpam-3892	188	21	transmuted	transmuted	ADJ
ejpam-3892	188	22	weibull	weibull	NOUN
ejpam-3892	188	23	distribution	distribution	NOUN
ejpam-3892	188	24	.	.	PUNCT
ejpam-3892	189	1	the	the	DET
ejpam-3892	189	2	distribution	distribution	NOUN
ejpam-3892	189	3	has	have	AUX
ejpam-3892	189	4	been	be	AUX
ejpam-3892	189	5	used	use	VERB
ejpam-3892	189	6	by	by	ADP
ejpam-3892	189	7	[	[	X
ejpam-3892	189	8	14	14	NUM
ejpam-3892	189	9	]	]	PUNCT
ejpam-3892	189	10	to	to	PART
ejpam-3892	189	11	propose	propose	VERB
ejpam-3892	189	12	a	a	DET
ejpam-3892	189	13	cubic	cubic	ADJ
ejpam-3892	189	14	transmuted	transmute	VERB
ejpam-3892	189	15	weibull	weibull	NOUN
ejpam-3892	189	16	distribution	distribution	NOUN
ejpam-3892	189	17	.	.	PUNCT
ejpam-3892	190	1	in	in	ADP
ejpam-3892	190	2	the	the	DET
ejpam-3892	190	3	following	following	NOUN
ejpam-3892	190	4	we	we	PRON
ejpam-3892	190	5	will	will	AUX
ejpam-3892	190	6	use	use	VERB
ejpam-3892	190	7	the	the	DET
ejpam-3892	190	8	weibull	weibull	NOUN
ejpam-3892	190	9	distribution	distribution	NOUN
ejpam-3892	190	10	with	with	ADP
ejpam-3892	190	11	the	the	DET
ejpam-3892	190	12	general	general	ADJ
ejpam-3892	190	13	transmuted	transmuted	ADJ
ejpam-3892	190	14	families	family	NOUN
ejpam-3892	190	15	of	of	ADP
ejpam-3892	190	16	distributions	distribution	NOUN
ejpam-3892	190	17	to	to	PART
ejpam-3892	190	18	propose	propose	VERB
ejpam-3892	190	19	the	the	DET
ejpam-3892	190	20	general	general	ADJ
ejpam-3892	190	21	transmuted	transmute	VERB
ejpam-3892	190	22	s.	s.	PROPN
ejpam-3892	190	23	h.	h.	PROPN
ejpam-3892	190	24	shahbaz	shahbaz	PROPN
ejpam-3892	190	25	,	,	PUNCT
ejpam-3892	190	26	m.	m.	NOUN
ejpam-3892	190	27	m.	m.	PROPN
ejpam-3892	190	28	rahman	rahman	PROPN
ejpam-3892	190	29	,	,	PUNCT
ejpam-3892	190	30	m.	m.	PROPN
ejpam-3892	190	31	q.	q.	PROPN
ejpam-3892	190	32	shahbaz	shahbaz	PROPN
ejpam-3892	190	33	/	/	SYM
ejpam-3892	190	34	eur	eur	PROPN
ejpam-3892	190	35	.	.	PUNCT
ejpam-3892	191	1	j.	j.	PROPN
ejpam-3892	191	2	pure	pure	PROPN
ejpam-3892	191	3	appl	appl	PROPN
ejpam-3892	191	4	.	.	PROPN
ejpam-3892	191	5	math	math	PROPN
ejpam-3892	191	6	,	,	PUNCT
ejpam-3892	191	7	14	14	NUM
ejpam-3892	191	8	(	(	PUNCT
ejpam-3892	191	9	1	1	NUM
ejpam-3892	191	10	)	)	PUNCT
ejpam-3892	191	11	(	(	PUNCT
ejpam-3892	191	12	2021	2021	NUM
ejpam-3892	191	13	)	)	PUNCT
ejpam-3892	191	14	,	,	PUNCT
ejpam-3892	191	15	301	301	NUM
ejpam-3892	191	16	-	-	SYM
ejpam-3892	191	17	313	313	NUM
ejpam-3892	191	18	310	310	NUM
ejpam-3892	191	19	weibull	weibull	NOUN
ejpam-3892	191	20	distributions	distribution	NOUN
ejpam-3892	191	21	.	.	PUNCT
ejpam-3892	192	1	the	the	DET
ejpam-3892	192	2	general	general	ADJ
ejpam-3892	192	3	transmuted	transmute	VERB
ejpam-3892	192	4	weibull	weibull	NOUN
ejpam-3892	192	5	distributions	distribution	NOUN
ejpam-3892	192	6	will	will	AUX
ejpam-3892	192	7	be	be	AUX
ejpam-3892	192	8	proposed	propose	VERB
ejpam-3892	192	9	by	by	ADP
ejpam-3892	192	10	using	use	VERB
ejpam-3892	192	11	(	(	PUNCT
ejpam-3892	192	12	8)	8)	NUM
ejpam-3892	192	13	and	and	CCONJ
ejpam-3892	192	14	(	(	PUNCT
ejpam-3892	192	15	10	10	NUM
ejpam-3892	192	16	)	)	PUNCT
ejpam-3892	192	17	.	.	PUNCT
ejpam-3892	193	1	now	now	ADV
ejpam-3892	193	2	,	,	PUNCT
ejpam-3892	193	3	using	use	VERB
ejpam-3892	193	4	the	the	DET
ejpam-3892	193	5	distribution	distribution	NOUN
ejpam-3892	193	6	function	function	NOUN
ejpam-3892	193	7	of	of	ADP
ejpam-3892	193	8	weibull	weibull	PROPN
ejpam-3892	193	9	random	random	ADJ
ejpam-3892	193	10	variable	variable	NOUN
ejpam-3892	193	11	in	in	ADP
ejpam-3892	193	12	(	(	PUNCT
ejpam-3892	193	13	8)	8)	NUM
ejpam-3892	193	14	the	the	DET
ejpam-3892	193	15	cdf	cdf	PROPN
ejpam-3892	193	16	of	of	ADP
ejpam-3892	193	17	general	general	ADJ
ejpam-3892	193	18	transmuted	transmuted	ADJ
ejpam-3892	193	19	weibull	weibull	PROPN
ejpam-3892	193	20	-	-	PUNCT
ejpam-3892	193	21	i	i	PROPN
ejpam-3892	193	22	(	(	PUNCT
ejpam-3892	193	23	gtw	gtw	PROPN
ejpam-3892	193	24	-	-	PUNCT
ejpam-3892	193	25	i	i	PROPN
ejpam-3892	193	26	)	)	PUNCT
ejpam-3892	193	27	distribution	distribution	NOUN
ejpam-3892	193	28	is	be	AUX
ejpam-3892	193	29	fgt1−w	fgt1−w	PUNCT
ejpam-3892	193	30	(	(	PUNCT
ejpam-3892	193	31	x	x	X
ejpam-3892	193	32	)	)	PUNCT
ejpam-3892	193	33	=	=	PUNCT
ejpam-3892	194	1	[	[	PUNCT
ejpam-3892	194	2	1−	1−	NUM
ejpam-3892	194	3	e−(x	e−(x	NOUN
ejpam-3892	194	4	/	/	PUNCT
ejpam-3892	194	5	θ)β	θ)β	NUM
ejpam-3892	194	6	]	]	PUNCT
ejpam-3892	195	1	+	+	CCONJ
ejpam-3892	195	2	k∑	k∑	ADJ
ejpam-3892	195	3	m=1	m=1	X
ejpam-3892	196	1	δme−(x	δme−(x	VERB
ejpam-3892	196	2	/	/	SYM
ejpam-3892	196	3	θ)β	θ)β	NUM
ejpam-3892	196	4	[	[	PUNCT
ejpam-3892	196	5	1−	1−	NUM
ejpam-3892	196	6	e−(x	e−(x	NOUN
ejpam-3892	196	7	/	/	SYM
ejpam-3892	196	8	θ)β	θ)β	NUM
ejpam-3892	196	9	]	]	X
ejpam-3892	196	10	m	m	X
ejpam-3892	196	11	.	.	PUNCT
ejpam-3892	197	1	(	(	PUNCT
ejpam-3892	197	2	27	27	NUM
ejpam-3892	197	3	)	)	PUNCT
ejpam-3892	197	4	again	again	ADV
ejpam-3892	197	5	,	,	PUNCT
ejpam-3892	197	6	using	use	VERB
ejpam-3892	197	7	the	the	DET
ejpam-3892	197	8	cdf	cdf	PROPN
ejpam-3892	197	9	of	of	ADP
ejpam-3892	197	10	weibull	weibull	PROPN
ejpam-3892	197	11	distribution	distribution	NOUN
ejpam-3892	197	12	in	in	ADP
ejpam-3892	197	13	(	(	PUNCT
ejpam-3892	197	14	10	10	NUM
ejpam-3892	197	15	)	)	PUNCT
ejpam-3892	197	16	,	,	PUNCT
ejpam-3892	197	17	the	the	DET
ejpam-3892	197	18	cdf	cdf	PROPN
ejpam-3892	197	19	of	of	ADP
ejpam-3892	197	20	general	general	ADJ
ejpam-3892	197	21	transmuted	transmuted	ADJ
ejpam-3892	197	22	weibull	weibull	PROPN
ejpam-3892	197	23	-	-	PUNCT
ejpam-3892	197	24	ii	ii	PROPN
ejpam-3892	197	25	(	(	PUNCT
ejpam-3892	197	26	gtw	gtw	PROPN
ejpam-3892	197	27	-	-	PUNCT
ejpam-3892	197	28	ii	ii	PROPN
ejpam-3892	197	29	)	)	PUNCT
ejpam-3892	197	30	distribution	distribution	NOUN
ejpam-3892	197	31	is	be	AUX
ejpam-3892	197	32	fgt2−w	fgt2−w	NUM
ejpam-3892	197	33	(	(	PUNCT
ejpam-3892	197	34	x	x	X
ejpam-3892	197	35	)	)	PUNCT
ejpam-3892	197	36	=	=	PUNCT
ejpam-3892	198	1	[	[	PUNCT
ejpam-3892	198	2	1−	1−	NUM
ejpam-3892	198	3	e−(x	e−(x	NOUN
ejpam-3892	198	4	/	/	PUNCT
ejpam-3892	198	5	θ)β	θ)β	NUM
ejpam-3892	198	6	]	]	PUNCT
ejpam-3892	199	1	+	+	CCONJ
ejpam-3892	199	2	k∑	k∑	PROPN
ejpam-3892	199	3	m=1	m=1	PROPN
ejpam-3892	199	4	δme−m(x	δme−m(x	PROPN
ejpam-3892	199	5	/	/	SYM
ejpam-3892	199	6	θ)β	θ)β	NUM
ejpam-3892	199	7	[	[	PUNCT
ejpam-3892	199	8	1−	1−	NUM
ejpam-3892	199	9	e−(x	e−(x	NOUN
ejpam-3892	199	10	/	/	PUNCT
ejpam-3892	199	11	θ)β	θ)β	NUM
ejpam-3892	199	12	]	]	PUNCT
ejpam-3892	199	13	.	.	PUNCT
ejpam-3892	200	1	(	(	PUNCT
ejpam-3892	200	2	28	28	NUM
ejpam-3892	200	3	)	)	PUNCT
ejpam-3892	200	4	the	the	DET
ejpam-3892	200	5	density	density	NOUN
ejpam-3892	200	6	functions	function	NOUN
ejpam-3892	200	7	corresponding	correspond	VERB
ejpam-3892	200	8	to	to	ADP
ejpam-3892	200	9	(	(	PUNCT
ejpam-3892	200	10	27	27	NUM
ejpam-3892	200	11	)	)	PUNCT
ejpam-3892	200	12	and	and	CCONJ
ejpam-3892	200	13	(	(	PUNCT
ejpam-3892	200	14	28	28	NUM
ejpam-3892	200	15	)	)	PUNCT
ejpam-3892	200	16	are	be	AUX
ejpam-3892	200	17	fgt1−w	fgt1−w	ADJ
ejpam-3892	200	18	(	(	PUNCT
ejpam-3892	200	19	x	x	X
ejpam-3892	200	20	)	)	PUNCT
ejpam-3892	200	21	=	=	NOUN
ejpam-3892	200	22	β	β	NOUN
ejpam-3892	200	23	θβ	θβ	ADP
ejpam-3892	200	24	xβ−1e−(x	xβ−1e−(x	PROPN
ejpam-3892	200	25	/	/	SYM
ejpam-3892	200	26	θ)β	θ)β	NUM
ejpam-3892	200	27	[	[	PUNCT
ejpam-3892	200	28	1−	1−	NUM
ejpam-3892	200	29	k∑	k∑	NOUN
ejpam-3892	200	30	m=1	m=1	X
ejpam-3892	200	31	(	(	PUNCT
ejpam-3892	200	32	m+	m+	NOUN
ejpam-3892	200	33	1	1	NUM
ejpam-3892	200	34	)	)	PUNCT
ejpam-3892	200	35	δm	δm	ADP
ejpam-3892	200	36	{	{	PUNCT
ejpam-3892	200	37	1−	1−	NUM
ejpam-3892	200	38	e−(x	e−(x	NOUN
ejpam-3892	200	39	/	/	SYM
ejpam-3892	200	40	θ)β	θ)β	NUM
ejpam-3892	200	41	}	}	PUNCT
ejpam-3892	200	42	m	m	PROPN
ejpam-3892	200	43	+	+	NUM
ejpam-3892	200	44	k∑	k∑	ADJ
ejpam-3892	201	1	m=1	m=1	PROPN
ejpam-3892	201	2	mδm	mδm	PROPN
ejpam-3892	201	3	{	{	PUNCT
ejpam-3892	201	4	1−	1−	NUM
ejpam-3892	201	5	e−(x	e−(x	NOUN
ejpam-3892	201	6	/	/	SYM
ejpam-3892	201	7	θ)β	θ)β	PUNCT
ejpam-3892	201	8	}	}	PUNCT
ejpam-3892	201	9	m−1	m−1	PROPN
ejpam-3892	201	10	]	]	PUNCT
ejpam-3892	201	11	,	,	PUNCT
ejpam-3892	201	12	(	(	PUNCT
ejpam-3892	201	13	29	29	NUM
ejpam-3892	201	14	)	)	PUNCT
ejpam-3892	201	15	for	for	ADP
ejpam-3892	201	16	x	x	PROPN
ejpam-3892	201	17	,	,	PUNCT
ejpam-3892	201	18	β	β	X
ejpam-3892	201	19	,	,	PUNCT
ejpam-3892	201	20	θ	θ	PROPN
ejpam-3892	201	21	>	>	X
ejpam-3892	201	22	0	0	PUNCT
ejpam-3892	201	23	and	and	CCONJ
ejpam-3892	201	24	fgt2−g	fgt2−g	PROPN
ejpam-3892	201	25	(	(	PUNCT
ejpam-3892	201	26	x	x	X
ejpam-3892	201	27	)	)	PUNCT
ejpam-3892	201	28	=	=	NOUN
ejpam-3892	201	29	β	β	NOUN
ejpam-3892	201	30	θβ	θβ	ADP
ejpam-3892	201	31	xβ−1e−(x	xβ−1e−(x	PROPN
ejpam-3892	201	32	/	/	SYM
ejpam-3892	201	33	θ)β	θ)β	NOUN
ejpam-3892	201	34	[	[	PUNCT
ejpam-3892	201	35	1	1	NUM
ejpam-3892	201	36	+	+	NUM
ejpam-3892	201	37	k∑	k∑	PROPN
ejpam-3892	201	38	m=1	m=1	PROPN
ejpam-3892	201	39	δme−m(x	δme−m(x	PROPN
ejpam-3892	201	40	/	/	SYM
ejpam-3892	201	41	θ)β	θ)β	NOUN
ejpam-3892	201	42	−	−	PROPN
ejpam-3892	201	43	k∑	k∑	PROPN
ejpam-3892	202	1	m=1	m=1	PROPN
ejpam-3892	202	2	mδm	mδm	PROPN
ejpam-3892	202	3	×e−(m−1)(x	×e−(m−1)(x	PROPN
ejpam-3892	202	4	/	/	SYM
ejpam-3892	202	5	θ)β	θ)β	CCONJ
ejpam-3892	202	6	{	{	PUNCT
ejpam-3892	202	7	1−	1−	NUM
ejpam-3892	202	8	e−(x	e−(x	NOUN
ejpam-3892	202	9	/	/	PUNCT
ejpam-3892	202	10	θ)β	θ)β	NUM
ejpam-3892	202	11	}	}	PUNCT
ejpam-3892	202	12	]	]	PUNCT
ejpam-3892	202	13	,	,	PUNCT
ejpam-3892	202	14	(	(	PUNCT
ejpam-3892	202	15	30	30	NUM
ejpam-3892	202	16	)	)	PUNCT
ejpam-3892	202	17	for	for	ADP
ejpam-3892	202	18	x	x	PROPN
ejpam-3892	202	19	,	,	PUNCT
ejpam-3892	202	20	β	β	X
ejpam-3892	202	21	,	,	PUNCT
ejpam-3892	202	22	θ	θ	PROPN
ejpam-3892	202	23	>	>	X
ejpam-3892	202	24	0	0	X
ejpam-3892	202	25	.	.	PUNCT
ejpam-3892	203	1	the	the	DET
ejpam-3892	203	2	density	density	NOUN
ejpam-3892	203	3	functions	function	NOUN
ejpam-3892	203	4	of	of	ADP
ejpam-3892	203	5	gtw	gtw	PROPN
ejpam-3892	203	6	-	-	PUNCT
ejpam-3892	203	7	i	i	PROPN
ejpam-3892	203	8	and	and	CCONJ
ejpam-3892	203	9	gtw	gtw	PROPN
ejpam-3892	203	10	-	-	PUNCT
ejpam-3892	203	11	ii	ii	PROPN
ejpam-3892	203	12	can	can	AUX
ejpam-3892	203	13	be	be	AUX
ejpam-3892	203	14	represented	represent	VERB
ejpam-3892	203	15	as	as	ADP
ejpam-3892	203	16	linear	linear	ADJ
ejpam-3892	203	17	combinations	combination	NOUN
ejpam-3892	203	18	of	of	ADP
ejpam-3892	203	19	the	the	DET
ejpam-3892	203	20	distributions	distribution	NOUN
ejpam-3892	203	21	of	of	ADP
ejpam-3892	203	22	order	order	NOUN
ejpam-3892	203	23	statistics	statistic	NOUN
ejpam-3892	203	24	from	from	ADP
ejpam-3892	203	25	the	the	DET
ejpam-3892	203	26	weibull	weibull	NOUN
ejpam-3892	203	27	distribution	distribution	NOUN
ejpam-3892	203	28	.	.	PUNCT
ejpam-3892	204	1	we	we	PRON
ejpam-3892	204	2	have	have	AUX
ejpam-3892	204	3	presented	present	VERB
ejpam-3892	204	4	the	the	DET
ejpam-3892	204	5	same	same	ADJ
ejpam-3892	204	6	in	in	ADP
ejpam-3892	204	7	the	the	DET
ejpam-3892	204	8	following	follow	VERB
ejpam-3892	204	9	subsection	subsection	NOUN
ejpam-3892	204	10	.	.	PUNCT
ejpam-3892	205	1	5.1	5.1	NUM
ejpam-3892	205	2	.	.	PUNCT
ejpam-3892	206	1	general	general	ADJ
ejpam-3892	206	2	transmuted	transmute	VERB
ejpam-3892	206	3	weibull	weibull	NOUN
ejpam-3892	206	4	distributions	distribution	NOUN
ejpam-3892	206	5	as	as	ADP
ejpam-3892	206	6	distributions	distribution	NOUN
ejpam-3892	206	7	of	of	ADP
ejpam-3892	206	8	order	order	NOUN
ejpam-3892	206	9	statistics	statistic	NOUN
ejpam-3892	206	10	in	in	ADP
ejpam-3892	206	11	the	the	DET
ejpam-3892	206	12	following	following	NOUN
ejpam-3892	206	13	we	we	PRON
ejpam-3892	206	14	will	will	AUX
ejpam-3892	206	15	obtain	obtain	VERB
ejpam-3892	206	16	representation	representation	NOUN
ejpam-3892	206	17	of	of	ADP
ejpam-3892	206	18	the	the	DET
ejpam-3892	206	19	density	density	NOUN
ejpam-3892	206	20	functions	function	NOUN
ejpam-3892	206	21	of	of	ADP
ejpam-3892	206	22	gtw	gtw	PROPN
ejpam-3892	206	23	-	-	PUNCT
ejpam-3892	206	24	i	i	PROPN
ejpam-3892	206	25	and	and	CCONJ
ejpam-3892	206	26	gtw	gtw	PROPN
ejpam-3892	206	27	-	-	PUNCT
ejpam-3892	206	28	ii	ii	PROPN
ejpam-3892	206	29	distributions	distribution	NOUN
ejpam-3892	206	30	,	,	PUNCT
ejpam-3892	206	31	given	give	VERB
ejpam-3892	206	32	in	in	ADP
ejpam-3892	206	33	(	(	PUNCT
ejpam-3892	206	34	29	29	NUM
ejpam-3892	206	35	)	)	PUNCT
ejpam-3892	206	36	and	and	CCONJ
ejpam-3892	206	37	(	(	PUNCT
ejpam-3892	206	38	30	30	NUM
ejpam-3892	206	39	)	)	PUNCT
ejpam-3892	206	40	,	,	PUNCT
ejpam-3892	206	41	as	as	ADP
ejpam-3892	206	42	linear	linear	ADJ
ejpam-3892	206	43	combinations	combination	NOUN
ejpam-3892	206	44	of	of	ADP
ejpam-3892	206	45	distributions	distribution	NOUN
ejpam-3892	206	46	of	of	ADP
ejpam-3892	206	47	maximum	maximum	ADJ
ejpam-3892	206	48	and	and	CCONJ
ejpam-3892	206	49	minimum	minimum	NOUN
ejpam-3892	206	50	for	for	ADP
ejpam-3892	206	51	a	a	DET
ejpam-3892	206	52	random	random	ADJ
ejpam-3892	206	53	sample	sample	NOUN
ejpam-3892	206	54	from	from	ADP
ejpam-3892	206	55	weibull	weibull	NOUN
ejpam-3892	206	56	distribution	distribution	NOUN
ejpam-3892	206	57	.	.	PUNCT
ejpam-3892	207	1	these	these	DET
ejpam-3892	207	2	representations	representation	NOUN
ejpam-3892	207	3	are	be	AUX
ejpam-3892	207	4	obtained	obtain	VERB
ejpam-3892	207	5	by	by	ADP
ejpam-3892	207	6	first	first	ADV
ejpam-3892	207	7	seeing	see	VERB
ejpam-3892	207	8	that	that	SCONJ
ejpam-3892	207	9	the	the	DET
ejpam-3892	207	10	distribution	distribution	NOUN
ejpam-3892	207	11	of	of	ADP
ejpam-3892	207	12	maximum	maximum	ADJ
ejpam-3892	207	13	and	and	CCONJ
ejpam-3892	207	14	minimum	minimum	NOUN
ejpam-3892	207	15	for	for	ADP
ejpam-3892	207	16	a	a	DET
ejpam-3892	207	17	random	random	ADJ
ejpam-3892	207	18	sample	sample	NOUN
ejpam-3892	207	19	of	of	ADP
ejpam-3892	207	20	size	size	NOUN
ejpam-3892	207	21	n	n	CCONJ
ejpam-3892	207	22	from	from	ADP
ejpam-3892	207	23	weibull	weibull	NOUN
ejpam-3892	207	24	distribution	distribution	NOUN
ejpam-3892	207	25	are	be	AUX
ejpam-3892	207	26	f1	f1	ADJ
ejpam-3892	207	27	:	:	PUNCT
ejpam-3892	207	28	n	n	CCONJ
ejpam-3892	207	29	(	(	PUNCT
ejpam-3892	207	30	x	x	X
ejpam-3892	207	31	)	)	PUNCT
ejpam-3892	207	32	=	=	SYM
ejpam-3892	207	33	nβ	nβ	PART
ejpam-3892	207	34	θβ	θβ	ADP
ejpam-3892	207	35	xβ−1e−n(x	xβ−1e−n(x	PROPN
ejpam-3892	207	36	/	/	SYM
ejpam-3892	207	37	θ	θ	NOUN
ejpam-3892	207	38	)	)	PUNCT
ejpam-3892	207	39	β	β	NOUN
ejpam-3892	208	1	;	;	PUNCT
ejpam-3892	208	2	x	x	X
ejpam-3892	208	3	,	,	PUNCT
ejpam-3892	208	4	β	β	X
ejpam-3892	208	5	,	,	PUNCT
ejpam-3892	208	6	θ	θ	PROPN
ejpam-3892	208	7	>	>	X
ejpam-3892	208	8	0	0	NUM
ejpam-3892	208	9	,	,	PUNCT
ejpam-3892	208	10	n	n	PRON
ejpam-3892	208	11	≥	≥	NOUN
ejpam-3892	208	12	1	1	NUM
ejpam-3892	208	13	(	(	PUNCT
ejpam-3892	208	14	31	31	NUM
ejpam-3892	208	15	)	)	PUNCT
ejpam-3892	208	16	and	and	CCONJ
ejpam-3892	208	17	fn	fn	NOUN
ejpam-3892	208	18	:	:	PUNCT
ejpam-3892	208	19	n	n	CCONJ
ejpam-3892	208	20	(	(	PUNCT
ejpam-3892	208	21	x	x	X
ejpam-3892	208	22	)	)	PUNCT
ejpam-3892	208	23	=	=	SYM
ejpam-3892	208	24	nβ	nβ	PROPN
ejpam-3892	208	25	θβ	θβ	ADP
ejpam-3892	208	26	xβ−1e−(x	xβ−1e−(x	PRON
ejpam-3892	208	27	/	/	SYM
ejpam-3892	208	28	θ)β	θ)β	CCONJ
ejpam-3892	208	29	{	{	PUNCT
ejpam-3892	208	30	1−	1−	NUM
ejpam-3892	208	31	e−(x	e−(x	NOUN
ejpam-3892	208	32	/	/	SYM
ejpam-3892	208	33	θ)β	θ)β	NOUN
ejpam-3892	208	34	}	}	PUNCT
ejpam-3892	208	35	n−1	n−1	PROPN
ejpam-3892	208	36	.	.	PUNCT
ejpam-3892	209	1	(	(	PUNCT
ejpam-3892	209	2	32	32	NUM
ejpam-3892	209	3	)	)	PUNCT
ejpam-3892	209	4	s.	s.	PROPN
ejpam-3892	209	5	h.	h.	PROPN
ejpam-3892	209	6	shahbaz	shahbaz	PROPN
ejpam-3892	209	7	,	,	PUNCT
ejpam-3892	209	8	m.	m.	NOUN
ejpam-3892	209	9	m.	m.	PROPN
ejpam-3892	209	10	rahman	rahman	PROPN
ejpam-3892	209	11	,	,	PUNCT
ejpam-3892	209	12	m.	m.	PROPN
ejpam-3892	209	13	q.	q.	PROPN
ejpam-3892	209	14	shahbaz	shahbaz	PROPN
ejpam-3892	209	15	/	/	SYM
ejpam-3892	209	16	eur	eur	PROPN
ejpam-3892	209	17	.	.	PUNCT
ejpam-3892	210	1	j.	j.	PROPN
ejpam-3892	210	2	pure	pure	PROPN
ejpam-3892	210	3	appl	appl	PROPN
ejpam-3892	210	4	.	.	PROPN
ejpam-3892	210	5	math	math	PROPN
ejpam-3892	210	6	,	,	PUNCT
ejpam-3892	210	7	14	14	NUM
ejpam-3892	210	8	(	(	PUNCT
ejpam-3892	210	9	1	1	NUM
ejpam-3892	210	10	)	)	PUNCT
ejpam-3892	210	11	(	(	PUNCT
ejpam-3892	210	12	2021	2021	NUM
ejpam-3892	210	13	)	)	PUNCT
ejpam-3892	210	14	,	,	PUNCT
ejpam-3892	210	15	301	301	NUM
ejpam-3892	210	16	-	-	SYM
ejpam-3892	210	17	313	313	NUM
ejpam-3892	210	18	311	311	NUM
ejpam-3892	210	19	now	now	ADV
ejpam-3892	210	20	using	use	VERB
ejpam-3892	210	21	(	(	PUNCT
ejpam-3892	210	22	32	32	NUM
ejpam-3892	210	23	)	)	PUNCT
ejpam-3892	210	24	in	in	ADP
ejpam-3892	210	25	(	(	PUNCT
ejpam-3892	210	26	15	15	NUM
ejpam-3892	210	27	)	)	PUNCT
ejpam-3892	210	28	and	and	CCONJ
ejpam-3892	210	29	(	(	PUNCT
ejpam-3892	210	30	16	16	NUM
ejpam-3892	210	31	)	)	PUNCT
ejpam-3892	210	32	the	the	DET
ejpam-3892	210	33	density	density	NOUN
ejpam-3892	210	34	functions	function	NOUN
ejpam-3892	210	35	of	of	ADP
ejpam-3892	210	36	gtw	gtw	PROPN
ejpam-3892	210	37	-	-	PUNCT
ejpam-3892	210	38	i	i	PROPN
ejpam-3892	210	39	and	and	CCONJ
ejpam-3892	210	40	gtw	gtw	PROPN
ejpam-3892	210	41	-	-	PUNCT
ejpam-3892	210	42	ii	ii	PROPN
ejpam-3892	210	43	can	can	AUX
ejpam-3892	210	44	be	be	AUX
ejpam-3892	210	45	written	write	VERB
ejpam-3892	210	46	as	as	ADP
ejpam-3892	210	47	linear	linear	ADJ
ejpam-3892	210	48	combinations	combination	NOUN
ejpam-3892	210	49	of	of	ADP
ejpam-3892	210	50	distributions	distribution	NOUN
ejpam-3892	210	51	of	of	ADP
ejpam-3892	210	52	maximum	maximum	NOUN
ejpam-3892	210	53	from	from	ADP
ejpam-3892	210	54	the	the	DET
ejpam-3892	210	55	weibull	weibull	NOUN
ejpam-3892	210	56	distribution	distribution	NOUN
ejpam-3892	210	57	and	and	CCONJ
ejpam-3892	210	58	are	be	AUX
ejpam-3892	210	59	fgt1−w	fgt1−w	PUNCT
ejpam-3892	210	60	(	(	PUNCT
ejpam-3892	210	61	x	x	X
ejpam-3892	210	62	)	)	PUNCT
ejpam-3892	210	63	=	=	SYM
ejpam-3892	210	64	(	(	PUNCT
ejpam-3892	210	65	1	1	NUM
ejpam-3892	210	66	+	+	NUM
ejpam-3892	210	67	δ1)β	δ1)β	PROPN
ejpam-3892	210	68	θβ	θβ	ADP
ejpam-3892	210	69	xβ−1e−(x	xβ−1e−(x	PRON
ejpam-3892	210	70	/	/	SYM
ejpam-3892	210	71	θ)β	θ)β	PUNCT
ejpam-3892	210	72	+	+	CCONJ
ejpam-3892	210	73	k∑	k∑	ADJ
ejpam-3892	210	74	m=2	m=2	PROPN
ejpam-3892	211	1	(	(	PUNCT
ejpam-3892	211	2	δm	δm	ADP
ejpam-3892	211	3	−	−	PROPN
ejpam-3892	211	4	δm−1	δm−1	PROPN
ejpam-3892	211	5	)	)	PUNCT
ejpam-3892	212	1	mβ	mβ	ADP
ejpam-3892	212	2	θβ	θβ	VERB
ejpam-3892	212	3	xβ−1e−(x	xβ−1e−(x	PRON
ejpam-3892	212	4	/	/	SYM
ejpam-3892	212	5	θ)β	θ)β	NOUN
ejpam-3892	212	6	×	×	PROPN
ejpam-3892	212	7	{	{	PUNCT
ejpam-3892	212	8	1−	1−	NUM
ejpam-3892	212	9	e−(x	e−(x	NOUN
ejpam-3892	212	10	/	/	SYM
ejpam-3892	212	11	θ)β	θ)β	PUNCT
ejpam-3892	212	12	}	}	PUNCT
ejpam-3892	212	13	m−1	m−1	PROPN
ejpam-3892	212	14	−	−	NUM
ejpam-3892	213	1	δk	δk	INTJ
ejpam-3892	213	2	(	(	PUNCT
ejpam-3892	213	3	k	k	PROPN
ejpam-3892	213	4	+	+	CCONJ
ejpam-3892	213	5	1)β	1)β	NUM
ejpam-3892	213	6	θβ	θβ	ADP
ejpam-3892	213	7	xβ−1e−(x	xβ−1e−(x	PRON
ejpam-3892	213	8	/	/	SYM
ejpam-3892	213	9	θ)β	θ)β	CCONJ
ejpam-3892	213	10	{	{	PUNCT
ejpam-3892	213	11	1−	1−	NUM
ejpam-3892	213	12	e−(x	e−(x	NOUN
ejpam-3892	213	13	/	/	SYM
ejpam-3892	213	14	θ)β	θ)β	NUM
ejpam-3892	213	15	}	}	PUNCT
ejpam-3892	213	16	k	k	NOUN
ejpam-3892	213	17	,	,	PUNCT
ejpam-3892	213	18	(	(	PUNCT
ejpam-3892	213	19	33	33	NUM
ejpam-3892	213	20	)	)	PUNCT
ejpam-3892	213	21	and	and	CCONJ
ejpam-3892	213	22	fgt2−w	fgt2−w	NUM
ejpam-3892	213	23	(	(	PUNCT
ejpam-3892	213	24	x	x	X
ejpam-3892	213	25	)	)	PUNCT
ejpam-3892	213	26	=	=	SYM
ejpam-3892	213	27	k∑	k∑	PROPN
ejpam-3892	213	28	m=0	m=0	PROPN
ejpam-3892	213	29	m∑	m∑	CCONJ
ejpam-3892	213	30	j=0	j=0	PROPN
ejpam-3892	213	31	(	(	PUNCT
ejpam-3892	213	32	−1)j	−1)j	NOUN
ejpam-3892	213	33	δm	δm	PROPN
ejpam-3892	213	34	(	(	PUNCT
ejpam-3892	213	35	m	m	PROPN
ejpam-3892	213	36	j	j	NOUN
ejpam-3892	213	37	)	)	PUNCT
ejpam-3892	213	38	(	(	PUNCT
ejpam-3892	213	39	j	j	PROPN
ejpam-3892	213	40	+	+	CCONJ
ejpam-3892	213	41	1)β	1)β	NUM
ejpam-3892	213	42	θβ	θβ	ADP
ejpam-3892	213	43	xβ−1e−(x	xβ−1e−(x	PRON
ejpam-3892	213	44	/	/	SYM
ejpam-3892	213	45	θ)β	θ)β	NOUN
ejpam-3892	213	46	×	×	PROPN
ejpam-3892	213	47	{	{	PUNCT
ejpam-3892	213	48	1−	1−	NUM
ejpam-3892	213	49	e−(x	e−(x	NOUN
ejpam-3892	213	50	/	/	SYM
ejpam-3892	213	51	θ)β	θ)β	NUM
ejpam-3892	213	52	}	}	PUNCT
ejpam-3892	213	53	j	j	PROPN
ejpam-3892	213	54	,	,	PUNCT
ejpam-3892	213	55	(	(	PUNCT
ejpam-3892	213	56	34	34	NUM
ejpam-3892	213	57	)	)	PUNCT
ejpam-3892	213	58	for	for	ADP
ejpam-3892	213	59	x	x	PROPN
ejpam-3892	213	60	,	,	PUNCT
ejpam-3892	213	61	β	β	X
ejpam-3892	213	62	,	,	PUNCT
ejpam-3892	213	63	θ	θ	PROPN
ejpam-3892	213	64	>	>	X
ejpam-3892	213	65	0	0	X
ejpam-3892	213	66	.	.	PUNCT
ejpam-3892	214	1	again	again	ADV
ejpam-3892	214	2	,	,	PUNCT
ejpam-3892	214	3	using	use	VERB
ejpam-3892	214	4	(	(	PUNCT
ejpam-3892	214	5	31	31	NUM
ejpam-3892	214	6	)	)	PUNCT
ejpam-3892	214	7	in	in	ADP
ejpam-3892	214	8	(	(	PUNCT
ejpam-3892	214	9	17	17	NUM
ejpam-3892	214	10	)	)	PUNCT
ejpam-3892	214	11	and	and	CCONJ
ejpam-3892	214	12	(	(	PUNCT
ejpam-3892	214	13	19	19	NUM
ejpam-3892	214	14	)	)	PUNCT
ejpam-3892	214	15	the	the	DET
ejpam-3892	214	16	density	density	NOUN
ejpam-3892	214	17	functions	function	NOUN
ejpam-3892	214	18	of	of	ADP
ejpam-3892	214	19	gtw	gtw	PROPN
ejpam-3892	214	20	-	-	PUNCT
ejpam-3892	214	21	i	i	PROPN
ejpam-3892	214	22	and	and	CCONJ
ejpam-3892	214	23	gtw	gtw	PROPN
ejpam-3892	214	24	-	-	PUNCT
ejpam-3892	214	25	ii	ii	PROPN
ejpam-3892	214	26	can	can	AUX
ejpam-3892	214	27	be	be	AUX
ejpam-3892	214	28	written	write	VERB
ejpam-3892	214	29	as	as	ADP
ejpam-3892	214	30	linear	linear	ADJ
ejpam-3892	214	31	combinations	combination	NOUN
ejpam-3892	214	32	of	of	ADP
ejpam-3892	214	33	distributions	distribution	NOUN
ejpam-3892	214	34	of	of	ADP
ejpam-3892	214	35	minimum	minimum	NOUN
ejpam-3892	214	36	from	from	ADP
ejpam-3892	214	37	the	the	DET
ejpam-3892	214	38	weibull	weibull	NOUN
ejpam-3892	214	39	distribution	distribution	NOUN
ejpam-3892	214	40	and	and	CCONJ
ejpam-3892	214	41	are	be	AUX
ejpam-3892	214	42	fgt1−w	fgt1−w	PUNCT
ejpam-3892	214	43	(	(	PUNCT
ejpam-3892	214	44	x	x	X
ejpam-3892	214	45	)	)	PUNCT
ejpam-3892	214	46	=	=	NOUN
ejpam-3892	215	1	β	β	NOUN
ejpam-3892	215	2	θβ	θβ	ADP
ejpam-3892	215	3	xβ−1e−(x	xβ−1e−(x	PRON
ejpam-3892	215	4	/	/	SYM
ejpam-3892	215	5	θ)β	θ)β	PUNCT
ejpam-3892	216	1	+	+	CCONJ
ejpam-3892	216	2	k∑	k∑	X
ejpam-3892	217	1	m=1	m=1	X
ejpam-3892	217	2	δm	δm	PRON
ejpam-3892	217	3	m−1∑	m−1∑	NUM
ejpam-3892	217	4	j=0	j=0	PROPN
ejpam-3892	217	5	(	(	PUNCT
ejpam-3892	217	6	−1)j	−1)j	X
ejpam-3892	217	7	(	(	PUNCT
ejpam-3892	217	8	m−	m−	PROPN
ejpam-3892	217	9	1	1	NUM
ejpam-3892	217	10	j	j	NOUN
ejpam-3892	217	11	)	)	PUNCT
ejpam-3892	217	12	[	[	PUNCT
ejpam-3892	217	13	m+	m+	NUM
ejpam-3892	217	14	1	1	NUM
ejpam-3892	217	15	j	j	NOUN
ejpam-3892	217	16	+	+	CCONJ
ejpam-3892	217	17	2	2	NUM
ejpam-3892	217	18	×(j	×(j	NOUN
ejpam-3892	217	19	+	+	CCONJ
ejpam-3892	217	20	2)β	2)β	NUM
ejpam-3892	217	21	θβ	θβ	ADP
ejpam-3892	217	22	xβ−1e−(j+2)(x	xβ−1e−(j+2)(x	PROPN
ejpam-3892	217	23	/	/	SYM
ejpam-3892	217	24	θ)β	θ)β	NOUN
ejpam-3892	217	25	−	−	PROPN
ejpam-3892	218	1	(	(	PUNCT
ejpam-3892	218	2	j	j	PROPN
ejpam-3892	218	3	+	+	NUM
ejpam-3892	218	4	2)β	2)β	NUM
ejpam-3892	218	5	(	(	PUNCT
ejpam-3892	218	6	j	j	NOUN
ejpam-3892	218	7	+	+	CCONJ
ejpam-3892	218	8	1	1	X
ejpam-3892	218	9	)	)	PUNCT
ejpam-3892	218	10	θβ	θβ	ADP
ejpam-3892	218	11	xβ−1e−(j+1)(x	xβ−1e−(j+1)(x	PROPN
ejpam-3892	218	12	/	/	SYM
ejpam-3892	218	13	θ)β	θ)β	NUM
ejpam-3892	218	14	]	]	PUNCT
ejpam-3892	218	15	,	,	PUNCT
ejpam-3892	218	16	(	(	PUNCT
ejpam-3892	218	17	35	35	NUM
ejpam-3892	218	18	)	)	PUNCT
ejpam-3892	218	19	and	and	CCONJ
ejpam-3892	218	20	fgt2−w	fgt2−w	NUM
ejpam-3892	218	21	(	(	PUNCT
ejpam-3892	218	22	x	x	X
ejpam-3892	218	23	)	)	PUNCT
ejpam-3892	218	24	=	=	NOUN
ejpam-3892	218	25	β	β	NOUN
ejpam-3892	218	26	θβ	θβ	ADP
ejpam-3892	218	27	xβ−1e−(x	xβ−1e−(x	PRON
ejpam-3892	218	28	/	/	SYM
ejpam-3892	218	29	θ)β	θ)β	PUNCT
ejpam-3892	218	30	+	+	CCONJ
ejpam-3892	218	31	k∑	k∑	X
ejpam-3892	219	1	m=1	m=1	X
ejpam-3892	219	2	δm	δm	INTJ
ejpam-3892	219	3	[	[	PUNCT
ejpam-3892	219	4	(	(	PUNCT
ejpam-3892	219	5	m+	m+	NUM
ejpam-3892	219	6	1)β	1)β	NUM
ejpam-3892	219	7	θβ	θβ	ADP
ejpam-3892	219	8	xβ−1e−(m+1)(x	xβ−1e−(m+1)(x	PROPN
ejpam-3892	219	9	/	/	SYM
ejpam-3892	219	10	θ)β	θ)β	NOUN
ejpam-3892	219	11	−mβ	−mβ	PROPN
ejpam-3892	219	12	θβ	θβ	PROPN
ejpam-3892	219	13	xβ−1e−m(x	xβ−1e−m(x	PROPN
ejpam-3892	219	14	/	/	SYM
ejpam-3892	219	15	θ)β	θ)β	NUM
ejpam-3892	219	16	]	]	PUNCT
ejpam-3892	219	17	,	,	PUNCT
ejpam-3892	219	18	(	(	PUNCT
ejpam-3892	219	19	36	36	NUM
ejpam-3892	219	20	)	)	PUNCT
ejpam-3892	219	21	for	for	ADP
ejpam-3892	219	22	x	x	PROPN
ejpam-3892	219	23	,	,	PUNCT
ejpam-3892	219	24	β	β	X
ejpam-3892	219	25	,	,	PUNCT
ejpam-3892	219	26	θ	θ	PROPN
ejpam-3892	219	27	>	>	X
ejpam-3892	219	28	0	0	X
ejpam-3892	219	29	.	.	PUNCT
ejpam-3892	220	1	the	the	DET
ejpam-3892	220	2	representation	representation	NOUN
ejpam-3892	220	3	of	of	ADP
ejpam-3892	220	4	transmuted	transmuted	ADJ
ejpam-3892	220	5	weibull	weibull	NOUN
ejpam-3892	220	6	and	and	CCONJ
ejpam-3892	220	7	cubic	cubic	ADJ
ejpam-3892	220	8	transmuted	transmute	VERB
ejpam-3892	220	9	weibull	weibull	NOUN
ejpam-3892	220	10	distributions	distribution	NOUN
ejpam-3892	220	11	as	as	ADP
ejpam-3892	220	12	linear	linear	ADJ
ejpam-3892	220	13	combinations	combination	NOUN
ejpam-3892	220	14	of	of	ADP
ejpam-3892	220	15	maximum	maximum	NOUN
ejpam-3892	220	16	can	can	AUX
ejpam-3892	220	17	be	be	AUX
ejpam-3892	220	18	obtained	obtain	VERB
ejpam-3892	220	19	from	from	ADP
ejpam-3892	220	20	(	(	PUNCT
ejpam-3892	220	21	33	33	NUM
ejpam-3892	220	22	)	)	PUNCT
ejpam-3892	220	23	and	and	CCONJ
ejpam-3892	220	24	(	(	PUNCT
ejpam-3892	220	25	34	34	NUM
ejpam-3892	220	26	)	)	PUNCT
ejpam-3892	220	27	by	by	ADP
ejpam-3892	220	28	using	use	VERB
ejpam-3892	220	29	k	k	PROPN
ejpam-3892	220	30	=	=	SYM
ejpam-3892	220	31	1	1	NUM
ejpam-3892	220	32	and	and	CCONJ
ejpam-3892	220	33	k	k	NOUN
ejpam-3892	220	34	=	=	SYM
ejpam-3892	220	35	2	2	X
ejpam-3892	220	36	.	.	PUNCT
ejpam-3892	220	37	similarly	similarly	ADV
ejpam-3892	220	38	,	,	PUNCT
ejpam-3892	220	39	representation	representation	NOUN
ejpam-3892	220	40	of	of	ADP
ejpam-3892	220	41	transmuted	transmuted	ADJ
ejpam-3892	220	42	weibull	weibull	NOUN
ejpam-3892	220	43	and	and	CCONJ
ejpam-3892	220	44	cubic	cubic	ADJ
ejpam-3892	220	45	transmuted	transmute	VERB
ejpam-3892	220	46	weibull	weibull	NOUN
ejpam-3892	220	47	distributions	distribution	NOUN
ejpam-3892	220	48	as	as	ADP
ejpam-3892	220	49	linear	linear	ADJ
ejpam-3892	220	50	combinations	combination	NOUN
ejpam-3892	220	51	of	of	ADP
ejpam-3892	220	52	minimum	minimum	NOUN
ejpam-3892	220	53	can	can	AUX
ejpam-3892	220	54	be	be	AUX
ejpam-3892	220	55	obtained	obtain	VERB
ejpam-3892	220	56	from	from	ADP
ejpam-3892	220	57	(	(	PUNCT
ejpam-3892	220	58	35	35	NUM
ejpam-3892	220	59	)	)	PUNCT
ejpam-3892	220	60	and	and	CCONJ
ejpam-3892	220	61	(	(	PUNCT
ejpam-3892	220	62	36	36	NUM
ejpam-3892	220	63	)	)	PUNCT
ejpam-3892	220	64	by	by	ADP
ejpam-3892	220	65	using	use	VERB
ejpam-3892	220	66	k	k	PROPN
ejpam-3892	220	67	=	=	SYM
ejpam-3892	220	68	1	1	NUM
ejpam-3892	220	69	and	and	CCONJ
ejpam-3892	220	70	k	k	NOUN
ejpam-3892	221	1	=	=	NOUN
ejpam-3892	221	2	2	2	X
ejpam-3892	221	3	.	.	PUNCT
ejpam-3892	222	1	the	the	DET
ejpam-3892	222	2	representations	representation	NOUN
ejpam-3892	222	3	(	(	PUNCT
ejpam-3892	222	4	35	35	NUM
ejpam-3892	222	5	)	)	PUNCT
ejpam-3892	222	6	and	and	CCONJ
ejpam-3892	222	7	(	(	PUNCT
ejpam-3892	222	8	36	36	NUM
ejpam-3892	222	9	)	)	PUNCT
ejpam-3892	222	10	are	be	AUX
ejpam-3892	222	11	useful	useful	ADJ
ejpam-3892	222	12	to	to	PART
ejpam-3892	222	13	obtain	obtain	VERB
ejpam-3892	222	14	the	the	DET
ejpam-3892	222	15	moments	moment	NOUN
ejpam-3892	222	16	of	of	ADP
ejpam-3892	222	17	gtw	gtw	PROPN
ejpam-3892	222	18	-	-	PUNCT
ejpam-3892	222	19	i	i	PROPN
ejpam-3892	222	20	and	and	CCONJ
ejpam-3892	222	21	gtw	gtw	PROPN
ejpam-3892	222	22	-	-	PUNCT
ejpam-3892	222	23	ii	ii	PROPN
ejpam-3892	222	24	distributions	distribution	NOUN
ejpam-3892	222	25	by	by	ADP
ejpam-3892	222	26	using	use	VERB
ejpam-3892	222	27	moments	moment	NOUN
ejpam-3892	222	28	of	of	ADP
ejpam-3892	222	29	minimum	minimum	NOUN
ejpam-3892	222	30	from	from	ADP
ejpam-3892	222	31	the	the	DET
ejpam-3892	222	32	weibull	weibull	NOUN
ejpam-3892	222	33	distribution	distribution	NOUN
ejpam-3892	222	34	which	which	PRON
ejpam-3892	222	35	are	be	AUX
ejpam-3892	222	36	obtained	obtain	VERB
ejpam-3892	222	37	in	in	ADP
ejpam-3892	222	38	the	the	DET
ejpam-3892	222	39	following	following	NOUN
ejpam-3892	222	40	.	.	PUNCT
ejpam-3892	223	1	5.2	5.2	NUM
ejpam-3892	223	2	.	.	PUNCT
ejpam-3892	223	3	moments	moment	NOUN
ejpam-3892	223	4	of	of	ADP
ejpam-3892	223	5	general	general	ADJ
ejpam-3892	223	6	transmuted	transmute	VERB
ejpam-3892	223	7	weibull	weibull	NOUN
ejpam-3892	223	8	distributions	distribution	NOUN
ejpam-3892	223	9	the	the	DET
ejpam-3892	223	10	moments	moment	NOUN
ejpam-3892	223	11	of	of	ADP
ejpam-3892	223	12	gtw	gtw	PROPN
ejpam-3892	223	13	-	-	PUNCT
ejpam-3892	223	14	i	i	PROPN
ejpam-3892	223	15	distribution	distribution	NOUN
ejpam-3892	223	16	can	can	AUX
ejpam-3892	223	17	be	be	AUX
ejpam-3892	223	18	obtained	obtain	VERB
ejpam-3892	223	19	by	by	ADP
ejpam-3892	223	20	using	use	VERB
ejpam-3892	223	21	either	either	CCONJ
ejpam-3892	223	22	(	(	PUNCT
ejpam-3892	223	23	21	21	NUM
ejpam-3892	223	24	)	)	PUNCT
ejpam-3892	223	25	or	or	CCONJ
ejpam-3892	223	26	(	(	PUNCT
ejpam-3892	223	27	23	23	NUM
ejpam-3892	223	28	)	)	PUNCT
ejpam-3892	223	29	and	and	CCONJ
ejpam-3892	223	30	the	the	DET
ejpam-3892	223	31	moments	moment	NOUN
ejpam-3892	223	32	of	of	ADP
ejpam-3892	223	33	gtw	gtw	PROPN
ejpam-3892	223	34	-	-	PUNCT
ejpam-3892	223	35	ii	ii	PROPN
ejpam-3892	223	36	distribution	distribution	NOUN
ejpam-3892	223	37	can	can	AUX
ejpam-3892	223	38	be	be	AUX
ejpam-3892	223	39	obtained	obtain	VERB
ejpam-3892	223	40	by	by	ADP
ejpam-3892	223	41	using	use	VERB
ejpam-3892	223	42	either	either	CCONJ
ejpam-3892	223	43	(	(	PUNCT
ejpam-3892	223	44	22	22	NUM
ejpam-3892	223	45	)	)	PUNCT
ejpam-3892	223	46	or	or	CCONJ
ejpam-3892	223	47	(	(	PUNCT
ejpam-3892	223	48	24	24	NUM
ejpam-3892	223	49	)	)	PUNCT
ejpam-3892	223	50	.	.	PUNCT
ejpam-3892	224	1	we	we	PRON
ejpam-3892	224	2	will	will	AUX
ejpam-3892	224	3	references	reference	VERB
ejpam-3892	224	4	312	312	NUM
ejpam-3892	224	5	obtain	obtain	VERB
ejpam-3892	224	6	the	the	DET
ejpam-3892	224	7	moments	moment	NOUN
ejpam-3892	224	8	of	of	ADP
ejpam-3892	224	9	gtw	gtw	PROPN
ejpam-3892	224	10	-	-	PUNCT
ejpam-3892	224	11	i	i	PROPN
ejpam-3892	224	12	and	and	CCONJ
ejpam-3892	224	13	gtw	gtw	PROPN
ejpam-3892	224	14	-	-	PUNCT
ejpam-3892	224	15	ii	ii	PROPN
ejpam-3892	224	16	distributions	distribution	NOUN
ejpam-3892	224	17	by	by	ADP
ejpam-3892	224	18	using	use	VERB
ejpam-3892	224	19	(	(	PUNCT
ejpam-3892	224	20	23	23	NUM
ejpam-3892	224	21	)	)	PUNCT
ejpam-3892	224	22	and	and	CCONJ
ejpam-3892	224	23	(	(	PUNCT
ejpam-3892	224	24	24	24	NUM
ejpam-3892	224	25	)	)	PUNCT
ejpam-3892	224	26	as	as	SCONJ
ejpam-3892	224	27	these	these	PRON
ejpam-3892	224	28	depends	depend	VERB
ejpam-3892	224	29	upon	upon	SCONJ
ejpam-3892	224	30	the	the	DET
ejpam-3892	224	31	moments	moment	NOUN
ejpam-3892	224	32	of	of	ADP
ejpam-3892	224	33	minimum	minimum	NOUN
ejpam-3892	224	34	from	from	ADP
ejpam-3892	224	35	weibull	weibull	NOUN
ejpam-3892	224	36	distribution	distribution	NOUN
ejpam-3892	224	37	which	which	PRON
ejpam-3892	224	38	are	be	AUX
ejpam-3892	224	39	in	in	ADP
ejpam-3892	224	40	compact	compact	ADJ
ejpam-3892	224	41	form	form	NOUN
ejpam-3892	224	42	.	.	PUNCT
ejpam-3892	225	1	now	now	ADV
ejpam-3892	225	2	,	,	PUNCT
ejpam-3892	225	3	the	the	DET
ejpam-3892	225	4	qth	qth	NOUN
ejpam-3892	225	5	moment	moment	NOUN
ejpam-3892	225	6	of	of	ADP
ejpam-3892	225	7	minimum	minimum	NOUN
ejpam-3892	225	8	in	in	ADP
ejpam-3892	225	9	a	a	DET
ejpam-3892	225	10	random	random	ADJ
ejpam-3892	225	11	sample	sample	NOUN
ejpam-3892	225	12	of	of	ADP
ejpam-3892	225	13	size	size	NOUN
ejpam-3892	225	14	n	n	CCONJ
ejpam-3892	225	15	from	from	ADP
ejpam-3892	225	16	the	the	DET
ejpam-3892	225	17	weibull	weibull	NOUN
ejpam-3892	225	18	distribution	distribution	NOUN
ejpam-3892	225	19	,	,	PUNCT
ejpam-3892	225	20	given	give	VERB
ejpam-3892	225	21	in	in	ADP
ejpam-3892	225	22	(	(	PUNCT
ejpam-3892	225	23	31	31	NUM
ejpam-3892	225	24	)	)	PUNCT
ejpam-3892	225	25	,	,	PUNCT
ejpam-3892	225	26	is	be	AUX
ejpam-3892	225	27	µq1	µq1	ADJ
ejpam-3892	225	28	:	:	PUNCT
ejpam-3892	225	29	n	n	NOUN
ejpam-3892	225	30	=	=	SYM
ejpam-3892	225	31	e	e	X
ejpam-3892	225	32	(	(	PUNCT
ejpam-3892	225	33	xq	xq	PROPN
ejpam-3892	225	34	1	1	NUM
ejpam-3892	225	35	:	:	PUNCT
ejpam-3892	225	36	n	n	CCONJ
ejpam-3892	225	37	)	)	PUNCT
ejpam-3892	225	38	=	=	PUNCT
ejpam-3892	225	39	θq	θq	ADP
ejpam-3892	225	40	nq	nq	PROPN
ejpam-3892	225	41	/	/	SYM
ejpam-3892	225	42	β	β	X
ejpam-3892	225	43	γ	γ	X
ejpam-3892	225	44	(	(	PUNCT
ejpam-3892	225	45	β	β	X
ejpam-3892	225	46	q	q	X
ejpam-3892	225	47	+	+	NOUN
ejpam-3892	225	48	1	1	NUM
ejpam-3892	225	49	)	)	PUNCT
ejpam-3892	225	50	.	.	PUNCT
ejpam-3892	226	1	(	(	PUNCT
ejpam-3892	226	2	37	37	NUM
ejpam-3892	226	3	)	)	PUNCT
ejpam-3892	226	4	now	now	ADV
ejpam-3892	226	5	,	,	PUNCT
ejpam-3892	226	6	using	use	VERB
ejpam-3892	226	7	(	(	PUNCT
ejpam-3892	226	8	37	37	NUM
ejpam-3892	226	9	)	)	PUNCT
ejpam-3892	226	10	in	in	ADP
ejpam-3892	226	11	(	(	PUNCT
ejpam-3892	226	12	23	23	NUM
ejpam-3892	226	13	)	)	PUNCT
ejpam-3892	226	14	the	the	DET
ejpam-3892	226	15	qth	qth	NOUN
ejpam-3892	226	16	moment	moment	NOUN
ejpam-3892	226	17	of	of	ADP
ejpam-3892	226	18	gtw	gtw	PROPN
ejpam-3892	226	19	-	-	PUNCT
ejpam-3892	226	20	i	i	PROPN
ejpam-3892	226	21	distribution	distribution	NOUN
ejpam-3892	226	22	is	be	AUX
ejpam-3892	226	23	µpgt1−w	µpgt1−w	PROPN
ejpam-3892	226	24	=	=	NUM
ejpam-3892	226	25	θqγ	θqγ	ADJ
ejpam-3892	226	26	(	(	PUNCT
ejpam-3892	226	27	β	β	X
ejpam-3892	226	28	q	q	X
ejpam-3892	227	1	+	+	NOUN
ejpam-3892	227	2	1	1	NUM
ejpam-3892	227	3	)	)	PUNCT
ejpam-3892	228	1	+	+	CCONJ
ejpam-3892	228	2	k∑	k∑	X
ejpam-3892	229	1	m=1	m=1	X
ejpam-3892	229	2	δm	δm	PRON
ejpam-3892	229	3	m−1∑	m−1∑	NUM
ejpam-3892	229	4	j=0	j=0	PROPN
ejpam-3892	229	5	(	(	PUNCT
ejpam-3892	229	6	−1)j	−1)j	X
ejpam-3892	229	7	(	(	PUNCT
ejpam-3892	229	8	m−	m−	PROPN
ejpam-3892	229	9	1	1	NUM
ejpam-3892	229	10	j	j	NOUN
ejpam-3892	229	11	)	)	PUNCT
ejpam-3892	229	12	[	[	PUNCT
ejpam-3892	229	13	m+	m+	NUM
ejpam-3892	229	14	1	1	NUM
ejpam-3892	229	15	j	j	NOUN
ejpam-3892	229	16	+	+	CCONJ
ejpam-3892	229	17	2	2	NUM
ejpam-3892	229	18	θq	θq	PROPN
ejpam-3892	229	19	(	(	PUNCT
ejpam-3892	229	20	j	j	PROPN
ejpam-3892	229	21	+	+	CCONJ
ejpam-3892	229	22	2)q	2)q	NUM
ejpam-3892	229	23	/	/	SYM
ejpam-3892	229	24	β	β	X
ejpam-3892	229	25	×γ	×γ	PROPN
ejpam-3892	229	26	(	(	PUNCT
ejpam-3892	229	27	β	β	X
ejpam-3892	229	28	q	q	X
ejpam-3892	229	29	+	+	NOUN
ejpam-3892	229	30	1	1	X
ejpam-3892	229	31	)	)	PUNCT
ejpam-3892	229	32	−	−	PROPN
ejpam-3892	230	1	1	1	NUM
ejpam-3892	230	2	j	j	NOUN
ejpam-3892	230	3	+	+	CCONJ
ejpam-3892	230	4	1	1	NUM
ejpam-3892	230	5	θq	θq	PRON
ejpam-3892	230	6	(	(	PUNCT
ejpam-3892	230	7	j	j	PROPN
ejpam-3892	230	8	+	+	CCONJ
ejpam-3892	230	9	1)q	1)q	NOUN
ejpam-3892	230	10	/	/	SYM
ejpam-3892	230	11	β	β	X
ejpam-3892	230	12	γ	γ	X
ejpam-3892	230	13	(	(	PUNCT
ejpam-3892	230	14	β	β	X
ejpam-3892	230	15	q	q	X
ejpam-3892	230	16	+	+	NOUN
ejpam-3892	230	17	1	1	NUM
ejpam-3892	230	18	)	)	PUNCT
ejpam-3892	230	19	]	]	PUNCT
ejpam-3892	230	20	.	.	PUNCT
ejpam-3892	231	1	(	(	PUNCT
ejpam-3892	231	2	38	38	NUM
ejpam-3892	231	3	)	)	PUNCT
ejpam-3892	231	4	similarly	similarly	ADV
ejpam-3892	231	5	,	,	PUNCT
ejpam-3892	231	6	using	use	VERB
ejpam-3892	231	7	(	(	PUNCT
ejpam-3892	231	8	37	37	NUM
ejpam-3892	231	9	)	)	PUNCT
ejpam-3892	231	10	in	in	ADP
ejpam-3892	231	11	(	(	PUNCT
ejpam-3892	231	12	24	24	NUM
ejpam-3892	231	13	)	)	PUNCT
ejpam-3892	231	14	the	the	DET
ejpam-3892	231	15	qth	qth	NOUN
ejpam-3892	231	16	moment	moment	NOUN
ejpam-3892	231	17	of	of	ADP
ejpam-3892	231	18	gtw	gtw	PROPN
ejpam-3892	231	19	-	-	PUNCT
ejpam-3892	231	20	ii	ii	PROPN
ejpam-3892	231	21	distribution	distribution	NOUN
ejpam-3892	231	22	is	be	AUX
ejpam-3892	231	23	µpgt2−w	µpgt2−w	DET
ejpam-3892	231	24	=	=	PROPN
ejpam-3892	231	25	θqγ	θqγ	ADJ
ejpam-3892	231	26	(	(	PUNCT
ejpam-3892	231	27	β	β	X
ejpam-3892	231	28	q	q	X
ejpam-3892	232	1	+	+	NOUN
ejpam-3892	232	2	1	1	NUM
ejpam-3892	232	3	)	)	PUNCT
ejpam-3892	232	4	+	+	CCONJ
ejpam-3892	233	1	k∑	k∑	X
ejpam-3892	234	1	m=1	m=1	X
ejpam-3892	235	1	δm	δm	INTJ
ejpam-3892	235	2	{	{	PUNCT
ejpam-3892	235	3	θq	θq	X
ejpam-3892	235	4	(	(	PUNCT
ejpam-3892	235	5	m+	m+	NUM
ejpam-3892	235	6	1)q	1)q	NOUN
ejpam-3892	235	7	/	/	SYM
ejpam-3892	235	8	β	β	X
ejpam-3892	235	9	γ	γ	X
ejpam-3892	235	10	(	(	PUNCT
ejpam-3892	235	11	β	β	X
ejpam-3892	235	12	q	q	X
ejpam-3892	236	1	+	+	NOUN
ejpam-3892	236	2	1	1	NUM
ejpam-3892	236	3	)	)	PUNCT
ejpam-3892	236	4	−	−	PROPN
ejpam-3892	237	1	θq	θq	PROPN
ejpam-3892	237	2	mq	mq	PROPN
ejpam-3892	237	3	/	/	SYM
ejpam-3892	237	4	β	β	X
ejpam-3892	237	5	γ	γ	X
ejpam-3892	237	6	(	(	PUNCT
ejpam-3892	237	7	β	β	X
ejpam-3892	237	8	q	q	X
ejpam-3892	237	9	+	+	NOUN
ejpam-3892	237	10	1	1	NUM
ejpam-3892	237	11	)	)	PUNCT
ejpam-3892	237	12	}	}	PUNCT
ejpam-3892	237	13	.	.	PUNCT
ejpam-3892	238	1	(	(	PUNCT
ejpam-3892	238	2	39	39	NUM
ejpam-3892	238	3	)	)	PUNCT
ejpam-3892	238	4	the	the	DET
ejpam-3892	238	5	means	mean	NOUN
ejpam-3892	238	6	and	and	CCONJ
ejpam-3892	238	7	variances	variance	NOUN
ejpam-3892	238	8	of	of	ADP
ejpam-3892	238	9	gtw	gtw	PROPN
ejpam-3892	238	10	-	-	PUNCT
ejpam-3892	238	11	i	i	PROPN
ejpam-3892	238	12	and	and	CCONJ
ejpam-3892	238	13	gtw	gtw	PROPN
ejpam-3892	238	14	-	-	PUNCT
ejpam-3892	238	15	ii	ii	PROPN
ejpam-3892	238	16	distributions	distribution	NOUN
ejpam-3892	238	17	can	can	AUX
ejpam-3892	238	18	be	be	AUX
ejpam-3892	238	19	obtained	obtain	VERB
ejpam-3892	238	20	from	from	ADP
ejpam-3892	238	21	(	(	PUNCT
ejpam-3892	238	22	38	38	NUM
ejpam-3892	238	23	)	)	PUNCT
ejpam-3892	238	24	and	and	CCONJ
ejpam-3892	238	25	(	(	PUNCT
ejpam-3892	238	26	39	39	NUM
ejpam-3892	238	27	)	)	PUNCT
ejpam-3892	238	28	respectively	respectively	ADV
ejpam-3892	238	29	.	.	PUNCT
ejpam-3892	239	1	references	reference	NOUN
ejpam-3892	239	2	[	[	X
ejpam-3892	239	3	1	1	NUM
ejpam-3892	239	4	]	]	PUNCT
ejpam-3892	239	5	m.	m.	NOUN
ejpam-3892	239	6	alizadeh	alizadeh	NOUN
ejpam-3892	239	7	,	,	PUNCT
ejpam-3892	239	8	f.	f.	PROPN
ejpam-3892	239	9	merovci	merovci	PROPN
ejpam-3892	239	10	,	,	PUNCT
ejpam-3892	239	11	and	and	CCONJ
ejpam-3892	239	12	g.	g.	PROPN
ejpam-3892	239	13	g.	g.	PROPN
ejpam-3892	239	14	hamedani	hamedani	PROPN
ejpam-3892	239	15	.	.	PUNCT
ejpam-3892	240	1	generalized	generalize	VERB
ejpam-3892	240	2	transmuted	transmuted	ADJ
ejpam-3892	240	3	family	family	NOUN
ejpam-3892	240	4	of	of	ADP
ejpam-3892	240	5	distributions	distribution	NOUN
ejpam-3892	240	6	:	:	PUNCT
ejpam-3892	240	7	properties	property	NOUN
ejpam-3892	240	8	and	and	CCONJ
ejpam-3892	240	9	applications	application	NOUN
ejpam-3892	240	10	.	.	PUNCT
ejpam-3892	241	1	hacettepe	hacettepe	PROPN
ejpam-3892	241	2	journal	journal	PROPN
ejpam-3892	241	3	of	of	ADP
ejpam-3892	241	4	mathematics	mathematic	NOUN
ejpam-3892	241	5	and	and	CCONJ
ejpam-3892	241	6	statistics	statistic	NOUN
ejpam-3892	241	7	,	,	PUNCT
ejpam-3892	241	8	46(4):645–667	46(4):645–667	NOUN
ejpam-3892	241	9	,	,	PUNCT
ejpam-3892	241	10	2017	2017	NUM
ejpam-3892	241	11	.	.	PUNCT
ejpam-3892	242	1	[	[	X
ejpam-3892	242	2	2	2	NUM
ejpam-3892	242	3	]	]	PUNCT
ejpam-3892	242	4	a.	a.	NOUN
ejpam-3892	242	5	alzaatreh	alzaatreh	PROPN
ejpam-3892	242	6	,	,	PUNCT
ejpam-3892	242	7	c.	c.	PROPN
ejpam-3892	242	8	lee	lee	PROPN
ejpam-3892	242	9	,	,	PUNCT
ejpam-3892	242	10	and	and	CCONJ
ejpam-3892	242	11	f.	f.	PROPN
ejpam-3892	242	12	famoye	famoye	PROPN
ejpam-3892	242	13	.	.	PUNCT
ejpam-3892	243	1	a	a	DET
ejpam-3892	243	2	new	new	ADJ
ejpam-3892	243	3	method	method	NOUN
ejpam-3892	243	4	for	for	ADP
ejpam-3892	243	5	generating	generate	VERB
ejpam-3892	243	6	families	family	NOUN
ejpam-3892	243	7	of	of	ADP
ejpam-3892	243	8	continuous	continuous	ADJ
ejpam-3892	243	9	distributions	distribution	NOUN
ejpam-3892	243	10	.	.	PUNCT
ejpam-3892	244	1	metron	metron	PROPN
ejpam-3892	244	2	,	,	PUNCT
ejpam-3892	244	3	71(1):63–79	71(1):63–79	ADV
ejpam-3892	244	4	,	,	PUNCT
ejpam-3892	244	5	2013	2013	NUM
ejpam-3892	244	6	.	.	PUNCT
ejpam-3892	245	1	[	[	X
ejpam-3892	245	2	3	3	X
ejpam-3892	245	3	]	]	X
ejpam-3892	245	4	g.	g.	PROPN
ejpam-3892	245	5	r.	r.	PROPN
ejpam-3892	245	6	aryal	aryal	PROPN
ejpam-3892	245	7	and	and	CCONJ
ejpam-3892	245	8	c.	c.	PROPN
ejpam-3892	245	9	p.	p.	PROPN
ejpam-3892	245	10	tsokos	tsokos	PROPN
ejpam-3892	245	11	.	.	PUNCT
ejpam-3892	246	1	transmuted	transmute	VERB
ejpam-3892	246	2	weibull	weibull	NOUN
ejpam-3892	246	3	distribution	distribution	NOUN
ejpam-3892	246	4	:	:	PUNCT
ejpam-3892	246	5	a	a	DET
ejpam-3892	246	6	generalization	generalization	NOUN
ejpam-3892	246	7	of	of	ADP
ejpam-3892	246	8	theweibull	theweibull	NOUN
ejpam-3892	246	9	probability	probability	NOUN
ejpam-3892	246	10	distribution	distribution	NOUN
ejpam-3892	246	11	.	.	PUNCT
ejpam-3892	247	1	european	european	ADJ
ejpam-3892	247	2	journal	journal	PROPN
ejpam-3892	247	3	of	of	ADP
ejpam-3892	247	4	pure	pure	ADJ
ejpam-3892	247	5	and	and	CCONJ
ejpam-3892	247	6	applied	applied	ADJ
ejpam-3892	247	7	mathematics	mathematic	NOUN
ejpam-3892	247	8	,	,	PUNCT
ejpam-3892	247	9	4(2):89–102	4(2):89–102	NUM
ejpam-3892	247	10	,	,	PUNCT
ejpam-3892	247	11	2011	2011	NUM
ejpam-3892	247	12	.	.	PUNCT
ejpam-3892	248	1	[	[	X
ejpam-3892	248	2	4	4	NUM
ejpam-3892	248	3	]	]	PUNCT
ejpam-3892	248	4	m.	m.	NOUN
ejpam-3892	248	5	bourguignon	bourguignon	PROPN
ejpam-3892	248	6	,	,	PUNCT
ejpam-3892	248	7	i.	i.	PROPN
ejpam-3892	248	8	ghosh	ghosh	PROPN
ejpam-3892	248	9	,	,	PUNCT
ejpam-3892	248	10	and	and	CCONJ
ejpam-3892	248	11	g.	g.	PROPN
ejpam-3892	248	12	m.	m.	PROPN
ejpam-3892	248	13	cordeiro	cordeiro	PROPN
ejpam-3892	248	14	.	.	PUNCT
ejpam-3892	249	1	general	general	ADJ
ejpam-3892	249	2	results	result	NOUN
ejpam-3892	249	3	for	for	ADP
ejpam-3892	249	4	the	the	DET
ejpam-3892	249	5	transmuted	transmuted	ADJ
ejpam-3892	249	6	family	family	NOUN
ejpam-3892	249	7	of	of	ADP
ejpam-3892	249	8	distributions	distribution	NOUN
ejpam-3892	249	9	and	and	CCONJ
ejpam-3892	249	10	new	new	ADJ
ejpam-3892	249	11	models	model	NOUN
ejpam-3892	249	12	.	.	PUNCT
ejpam-3892	250	1	journal	journal	NOUN
ejpam-3892	250	2	of	of	ADP
ejpam-3892	250	3	probability	probability	NOUN
ejpam-3892	250	4	and	and	CCONJ
ejpam-3892	250	5	statistics	statistic	NOUN
ejpam-3892	250	6	,	,	PUNCT
ejpam-3892	250	7	2016	2016	NUM
ejpam-3892	250	8	,	,	PUNCT
ejpam-3892	250	9	2016	2016	NUM
ejpam-3892	250	10	.	.	PUNCT
ejpam-3892	251	1	[	[	X
ejpam-3892	251	2	5	5	X
ejpam-3892	251	3	]	]	PUNCT
ejpam-3892	251	4	h.	h.	PROPN
ejpam-3892	251	5	a.	a.	PROPN
ejpam-3892	251	6	david	david	PROPN
ejpam-3892	251	7	and	and	CCONJ
ejpam-3892	251	8	h.	h.	PROPN
ejpam-3892	251	9	n.	n.	PROPN
ejpam-3892	251	10	nagaraja	nagaraja	PROPN
ejpam-3892	251	11	.	.	PUNCT
ejpam-3892	252	1	order	order	NOUN
ejpam-3892	252	2	statistics	statistic	NOUN
ejpam-3892	252	3	.	.	PUNCT
ejpam-3892	253	1	john	john	PROPN
ejpam-3892	253	2	wiley	wiley	PROPN
ejpam-3892	253	3	inc	inc	PROPN
ejpam-3892	253	4	,	,	PUNCT
ejpam-3892	253	5	usa	usa	PROPN
ejpam-3892	253	6	,	,	PUNCT
ejpam-3892	253	7	2003	2003	NUM
ejpam-3892	253	8	.	.	PUNCT
ejpam-3892	254	1	[	[	X
ejpam-3892	254	2	6	6	NUM
ejpam-3892	254	3	]	]	PUNCT
ejpam-3892	254	4	i.	i.	NOUN
ejpam-3892	254	5	elbatal	elbatal	PROPN
ejpam-3892	254	6	and	and	CCONJ
ejpam-3892	254	7	g.	g.	PROPN
ejpam-3892	254	8	aryal	aryal	PROPN
ejpam-3892	254	9	.	.	PUNCT
ejpam-3892	255	1	on	on	ADP
ejpam-3892	255	2	the	the	DET
ejpam-3892	255	3	transmuted	transmuted	ADJ
ejpam-3892	255	4	additiveweibull	additiveweibull	NOUN
ejpam-3892	255	5	distribution	distribution	NOUN
ejpam-3892	255	6	.	.	PUNCT
ejpam-3892	256	1	austrian	austrian	ADJ
ejpam-3892	256	2	journal	journal	PROPN
ejpam-3892	256	3	of	of	ADP
ejpam-3892	256	4	statistics	statistic	NOUN
ejpam-3892	256	5	,	,	PUNCT
ejpam-3892	256	6	42(2):117–132	42(2):117–132	PROPN
ejpam-3892	256	7	,	,	PUNCT
ejpam-3892	256	8	2013	2013	NUM
ejpam-3892	256	9	.	.	PUNCT
ejpam-3892	257	1	references	reference	NOUN
ejpam-3892	257	2	313	313	NUM
ejpam-3892	257	3	[	[	X
ejpam-3892	257	4	7	7	NUM
ejpam-3892	257	5	]	]	X
ejpam-3892	257	6	d.	d.	PROPN
ejpam-3892	257	7	c.	c.	PROPN
ejpam-3892	257	8	t.	t.	PROPN
ejpam-3892	257	9	granzotto	granzotto	PROPN
ejpam-3892	257	10	,	,	PUNCT
ejpam-3892	257	11	f.	f.	PROPN
ejpam-3892	257	12	louzada	louzada	PROPN
ejpam-3892	257	13	,	,	PUNCT
ejpam-3892	257	14	and	and	CCONJ
ejpam-3892	257	15	n.	n.	PROPN
ejpam-3892	257	16	balakrishnan	balakrishnan	PROPN
ejpam-3892	257	17	.	.	PUNCT
ejpam-3892	258	1	cubic	cubic	ADJ
ejpam-3892	258	2	rank	rank	PROPN
ejpam-3892	258	3	transmuted	transmute	VERB
ejpam-3892	258	4	distributions	distribution	NOUN
ejpam-3892	258	5	:	:	PUNCT
ejpam-3892	258	6	inferential	inferential	ADJ
ejpam-3892	258	7	issues	issue	NOUN
ejpam-3892	258	8	and	and	CCONJ
ejpam-3892	258	9	applications	application	NOUN
ejpam-3892	258	10	.	.	PUNCT
ejpam-3892	259	1	journal	journal	NOUN
ejpam-3892	259	2	of	of	ADP
ejpam-3892	259	3	statistical	statistical	ADJ
ejpam-3892	259	4	computation	computation	NOUN
ejpam-3892	259	5	and	and	CCONJ
ejpam-3892	259	6	simulation	simulation	NOUN
ejpam-3892	259	7	,	,	PUNCT
ejpam-3892	259	8	87(14):2760–2778	87(14):2760–2778	PROPN
ejpam-3892	259	9	,	,	PUNCT
ejpam-3892	259	10	2017	2017	NUM
ejpam-3892	259	11	.	.	PUNCT
ejpam-3892	260	1	[	[	X
ejpam-3892	260	2	8	8	NUM
ejpam-3892	260	3	]	]	PUNCT
ejpam-3892	260	4	m.	m.	NOUN
ejpam-3892	260	5	s.	s.	PROPN
ejpam-3892	260	6	khan	khan	PROPN
ejpam-3892	260	7	,	,	PUNCT
ejpam-3892	260	8	r.	r.	PROPN
ejpam-3892	260	9	king	king	PROPN
ejpam-3892	260	10	,	,	PUNCT
ejpam-3892	260	11	and	and	CCONJ
ejpam-3892	260	12	i.	i.	PROPN
ejpam-3892	260	13	l.	l.	PROPN
ejpam-3892	260	14	hudson	hudson	PROPN
ejpam-3892	260	15	.	.	PUNCT
ejpam-3892	261	1	transmuted	transmute	VERB
ejpam-3892	261	2	kumaraswamy	kumaraswamy	ADJ
ejpam-3892	261	3	distribution	distribution	NOUN
ejpam-3892	261	4	.	.	PUNCT
ejpam-3892	262	1	statistics	statistic	NOUN
ejpam-3892	262	2	in	in	ADP
ejpam-3892	262	3	transition	transition	NOUN
ejpam-3892	262	4	new	new	ADJ
ejpam-3892	262	5	series	series	NOUN
ejpam-3892	262	6	,	,	PUNCT
ejpam-3892	262	7	17(2):183–210	17(2):183–210	PROPN
ejpam-3892	262	8	,	,	PUNCT
ejpam-3892	262	9	2016	2016	NUM
ejpam-3892	262	10	.	.	PUNCT
ejpam-3892	263	1	[	[	X
ejpam-3892	263	2	9	9	NUM
ejpam-3892	263	3	]	]	PUNCT
ejpam-3892	263	4	m.	m.	NOUN
ejpam-3892	263	5	s.	s.	PROPN
ejpam-3892	263	6	khan	khan	PROPN
ejpam-3892	263	7	,	,	PUNCT
ejpam-3892	263	8	r.	r.	PROPN
ejpam-3892	263	9	king	king	PROPN
ejpam-3892	263	10	,	,	PUNCT
ejpam-3892	263	11	and	and	CCONJ
ejpam-3892	263	12	i.	i.	PROPN
ejpam-3892	263	13	l.	l.	PROPN
ejpam-3892	263	14	hudson	hudson	PROPN
ejpam-3892	263	15	.	.	PUNCT
ejpam-3892	264	1	transmuted	transmute	VERB
ejpam-3892	264	2	kumaraswamy	kumaraswamy	ADJ
ejpam-3892	264	3	-	-	PUNCT
ejpam-3892	264	4	g	g	NOUN
ejpam-3892	264	5	family	family	NOUN
ejpam-3892	264	6	of	of	ADP
ejpam-3892	264	7	distributions	distribution	NOUN
ejpam-3892	264	8	for	for	ADP
ejpam-3892	264	9	modelling	model	VERB
ejpam-3892	264	10	reliability	reliability	NOUN
ejpam-3892	264	11	data	datum	NOUN
ejpam-3892	264	12	.	.	PUNCT
ejpam-3892	265	1	journal	journal	PROPN
ejpam-3892	265	2	of	of	ADP
ejpam-3892	265	3	testing	testing	NOUN
ejpam-3892	265	4	and	and	CCONJ
ejpam-3892	265	5	evaluation	evaluation	NOUN
ejpam-3892	265	6	,	,	PUNCT
ejpam-3892	265	7	45(5):1837	45(5):1837	NUM
ejpam-3892	265	8	–	–	PUNCT
ejpam-3892	265	9	1848	1848	NUM
ejpam-3892	265	10	,	,	PUNCT
ejpam-3892	265	11	2017	2017	NUM
ejpam-3892	265	12	.	.	PUNCT
ejpam-3892	266	1	[	[	X
ejpam-3892	266	2	10	10	NUM
ejpam-3892	266	3	]	]	X
ejpam-3892	266	4	f.	f.	PROPN
ejpam-3892	266	5	merovci	merovci	PROPN
ejpam-3892	266	6	.	.	PUNCT
ejpam-3892	267	1	transmuted	transmute	VERB
ejpam-3892	267	2	rayleigh	rayleigh	NOUN
ejpam-3892	267	3	distribution	distribution	NOUN
ejpam-3892	267	4	.	.	PUNCT
ejpam-3892	268	1	austrian	austrian	ADJ
ejpam-3892	268	2	journal	journal	PROPN
ejpam-3892	268	3	of	of	ADP
ejpam-3892	268	4	statistics	statistic	NOUN
ejpam-3892	268	5	,	,	PUNCT
ejpam-3892	268	6	42(1):21–31	42(1):21–31	NUM
ejpam-3892	268	7	,	,	PUNCT
ejpam-3892	268	8	2013	2013	NUM
ejpam-3892	268	9	.	.	PUNCT
ejpam-3892	269	1	[	[	X
ejpam-3892	269	2	11	11	NUM
ejpam-3892	269	3	]	]	X
ejpam-3892	269	4	f.	f.	PROPN
ejpam-3892	269	5	merovci	merovci	PROPN
ejpam-3892	269	6	and	and	CCONJ
ejpam-3892	269	7	l.	l.	PROPN
ejpam-3892	269	8	l.	l.	PROPN
ejpam-3892	269	9	puka	puka	PROPN
ejpam-3892	269	10	.	.	PUNCT
ejpam-3892	270	1	transmuted	transmute	VERB
ejpam-3892	270	2	pareto	pareto	ADJ
ejpam-3892	270	3	distribution	distribution	NOUN
ejpam-3892	270	4	.	.	PUNCT
ejpam-3892	271	1	in	in	ADP
ejpam-3892	271	2	probstat	probstat	PROPN
ejpam-3892	271	3	forum	forum	PROPN
ejpam-3892	271	4	,	,	PUNCT
ejpam-3892	271	5	volume	volume	NOUN
ejpam-3892	271	6	7	7	NUM
ejpam-3892	271	7	,	,	PUNCT
ejpam-3892	271	8	pages	page	NOUN
ejpam-3892	271	9	1–11	1–11	PROPN
ejpam-3892	271	10	,	,	PUNCT
ejpam-3892	271	11	2014	2014	NUM
ejpam-3892	271	12	.	.	PUNCT
ejpam-3892	272	1	[	[	X
ejpam-3892	272	2	12	12	NUM
ejpam-3892	272	3	]	]	PUNCT
ejpam-3892	272	4	m.	m.	NOUN
ejpam-3892	272	5	m.	m.	PROPN
ejpam-3892	272	6	rahman	rahman	PROPN
ejpam-3892	272	7	,	,	PUNCT
ejpam-3892	272	8	b.	b.	PROPN
ejpam-3892	272	9	al	al	PROPN
ejpam-3892	272	10	-	-	PUNCT
ejpam-3892	272	11	zahrani	zahrani	PROPN
ejpam-3892	272	12	,	,	PUNCT
ejpam-3892	272	13	and	and	CCONJ
ejpam-3892	272	14	m.	m.	PROPN
ejpam-3892	272	15	q.	q.	PROPN
ejpam-3892	272	16	shahbaz	shahbaz	PROPN
ejpam-3892	272	17	.	.	PUNCT
ejpam-3892	273	1	a	a	DET
ejpam-3892	273	2	general	general	ADJ
ejpam-3892	273	3	transmuted	transmuted	ADJ
ejpam-3892	273	4	family	family	NOUN
ejpam-3892	273	5	of	of	ADP
ejpam-3892	273	6	distributions	distribution	NOUN
ejpam-3892	273	7	.	.	PUNCT
ejpam-3892	274	1	pakistan	pakistan	PROPN
ejpam-3892	274	2	journal	journal	PROPN
ejpam-3892	274	3	of	of	ADP
ejpam-3892	274	4	statistics	statistic	NOUN
ejpam-3892	274	5	and	and	CCONJ
ejpam-3892	274	6	operation	operation	NOUN
ejpam-3892	274	7	research	research	NOUN
ejpam-3892	274	8	,	,	PUNCT
ejpam-3892	274	9	14(2):451–469	14(2):451–469	PROPN
ejpam-3892	274	10	,	,	PUNCT
ejpam-3892	274	11	2018	2018	NUM
ejpam-3892	274	12	.	.	PUNCT
ejpam-3892	275	1	[	[	X
ejpam-3892	275	2	13	13	NUM
ejpam-3892	275	3	]	]	PUNCT
ejpam-3892	275	4	m.	m.	NOUN
ejpam-3892	275	5	m.	m.	PROPN
ejpam-3892	275	6	rahman	rahman	PROPN
ejpam-3892	275	7	,	,	PUNCT
ejpam-3892	275	8	b.	b.	PROPN
ejpam-3892	275	9	al	al	PROPN
ejpam-3892	275	10	-	-	PUNCT
ejpam-3892	275	11	zahrani	zahrani	PROPN
ejpam-3892	275	12	,	,	PUNCT
ejpam-3892	275	13	and	and	CCONJ
ejpam-3892	275	14	m.	m.	PROPN
ejpam-3892	275	15	q.	q.	PROPN
ejpam-3892	275	16	shahbaz	shahbaz	PROPN
ejpam-3892	275	17	.	.	PUNCT
ejpam-3892	276	1	new	new	ADJ
ejpam-3892	276	2	general	general	ADJ
ejpam-3892	276	3	transmuted	transmuted	ADJ
ejpam-3892	276	4	family	family	NOUN
ejpam-3892	276	5	of	of	ADP
ejpam-3892	276	6	distributions	distribution	NOUN
ejpam-3892	276	7	with	with	ADP
ejpam-3892	276	8	applications	application	NOUN
ejpam-3892	276	9	.	.	PUNCT
ejpam-3892	277	1	pakistan	pakistan	PROPN
ejpam-3892	277	2	journal	journal	PROPN
ejpam-3892	277	3	of	of	ADP
ejpam-3892	277	4	statistics	statistic	NOUN
ejpam-3892	277	5	and	and	CCONJ
ejpam-3892	277	6	operation	operation	NOUN
ejpam-3892	277	7	research	research	NOUN
ejpam-3892	277	8	,	,	PUNCT
ejpam-3892	277	9	14(4):807–829	14(4):807–829	NUM
ejpam-3892	277	10	,	,	PUNCT
ejpam-3892	277	11	2018	2018	NUM
ejpam-3892	277	12	.	.	PUNCT
ejpam-3892	278	1	[	[	X
ejpam-3892	278	2	14	14	NUM
ejpam-3892	278	3	]	]	PUNCT
ejpam-3892	278	4	m.	m.	NOUN
ejpam-3892	278	5	m.	m.	PROPN
ejpam-3892	278	6	rahman	rahman	PROPN
ejpam-3892	278	7	,	,	PUNCT
ejpam-3892	278	8	b.	b.	PROPN
ejpam-3892	278	9	al	al	PROPN
ejpam-3892	278	10	-	-	PUNCT
ejpam-3892	278	11	zahrani	zahrani	PROPN
ejpam-3892	278	12	,	,	PUNCT
ejpam-3892	278	13	and	and	CCONJ
ejpam-3892	278	14	m.	m.	PROPN
ejpam-3892	278	15	q.	q.	PROPN
ejpam-3892	278	16	shahbaz	shahbaz	PROPN
ejpam-3892	278	17	.	.	PUNCT
ejpam-3892	279	1	cubic	cubic	PROPN
ejpam-3892	279	2	transmuted	transmute	VERB
ejpam-3892	279	3	weibull	weibull	NOUN
ejpam-3892	279	4	distribution	distribution	NOUN
ejpam-3892	279	5	:	:	PUNCT
ejpam-3892	279	6	properties	property	NOUN
ejpam-3892	279	7	and	and	CCONJ
ejpam-3892	279	8	applications	application	NOUN
ejpam-3892	279	9	.	.	PUNCT
ejpam-3892	280	1	annals	annal	NOUN
ejpam-3892	280	2	of	of	ADP
ejpam-3892	280	3	data	data	NOUN
ejpam-3892	280	4	science	science	NOUN
ejpam-3892	280	5	,	,	PUNCT
ejpam-3892	280	6	6(1):83–102	6(1):83–102	NUM
ejpam-3892	280	7	,	,	PUNCT
ejpam-3892	280	8	2019	2019	NUM
ejpam-3892	280	9	.	.	PUNCT
ejpam-3892	281	1	[	[	X
ejpam-3892	281	2	15	15	NUM
ejpam-3892	281	3	]	]	X
ejpam-3892	281	4	m.	m.	PROPN
ejpam-3892	281	5	q.	q.	PROPN
ejpam-3892	281	6	shahbaz	shahbaz	PROPN
ejpam-3892	281	7	,	,	PUNCT
ejpam-3892	281	8	m.	m.	NOUN
ejpam-3892	281	9	ahsanullah	ahsanullah	PROPN
ejpam-3892	281	10	,	,	PUNCT
ejpam-3892	281	11	s.	s.	PROPN
ejpam-3892	281	12	h.	h.	PROPN
ejpam-3892	281	13	shahbaz	shahbaz	PROPN
ejpam-3892	281	14	,	,	PUNCT
ejpam-3892	281	15	and	and	CCONJ
ejpam-3892	281	16	b.	b.	PROPN
ejpam-3892	281	17	al	al	PROPN
ejpam-3892	281	18	-	-	PROPN
ejpam-3892	281	19	zahrani	zahrani	PROPN
ejpam-3892	281	20	.	.	PUNCT
ejpam-3892	281	21	ordered	order	VERB
ejpam-3892	281	22	random	random	ADJ
ejpam-3892	281	23	variables	variable	NOUN
ejpam-3892	281	24	:	:	PUNCT
ejpam-3892	281	25	theory	theory	NOUN
ejpam-3892	281	26	and	and	CCONJ
ejpam-3892	281	27	applications	application	NOUN
ejpam-3892	281	28	.	.	PUNCT
ejpam-3892	282	1	springer	springer	NOUN
ejpam-3892	282	2	,	,	PUNCT
ejpam-3892	282	3	2016	2016	NUM
ejpam-3892	282	4	.	.	PUNCT
ejpam-3892	283	1	[	[	X
ejpam-3892	283	2	16	16	NUM
ejpam-3892	283	3	]	]	X
ejpam-3892	283	4	w.	w.	PROPN
ejpam-3892	283	5	t.	t.	PROPN
ejpam-3892	283	6	shaw	shaw	PROPN
ejpam-3892	283	7	and	and	CCONJ
ejpam-3892	283	8	i.	i.	PROPN
ejpam-3892	283	9	r.	r.	PROPN
ejpam-3892	283	10	c.	c.	PROPN
ejpam-3892	283	11	buckley	buckley	PROPN
ejpam-3892	283	12	.	.	PUNCT
ejpam-3892	284	1	the	the	DET
ejpam-3892	284	2	alchemy	alchemy	NOUN
ejpam-3892	284	3	of	of	ADP
ejpam-3892	284	4	probability	probability	NOUN
ejpam-3892	284	5	distributions	distribution	NOUN
ejpam-3892	284	6	:	:	PUNCT
ejpam-3892	284	7	beyond	beyond	ADP
ejpam-3892	284	8	gram	gram	NOUN
ejpam-3892	284	9	-	-	PUNCT
ejpam-3892	284	10	charlier	charlier	NOUN
ejpam-3892	284	11	expansions	expansion	NOUN
ejpam-3892	284	12	,	,	PUNCT
ejpam-3892	284	13	and	and	CCONJ
ejpam-3892	284	14	a	a	DET
ejpam-3892	284	15	skew	skew	ADJ
ejpam-3892	284	16	-	-	PUNCT
ejpam-3892	284	17	kurtotic	kurtotic	ADJ
ejpam-3892	284	18	-	-	PUNCT
ejpam-3892	284	19	normal	normal	ADJ
ejpam-3892	284	20	distribution	distribution	NOUN
ejpam-3892	284	21	from	from	ADP
ejpam-3892	284	22	a	a	DET
ejpam-3892	284	23	rank	rank	NOUN
ejpam-3892	284	24	transmutation	transmutation	NOUN
ejpam-3892	284	25	map	map	NOUN
ejpam-3892	284	26	.	.	PUNCT
ejpam-3892	285	1	arxiv	arxiv	PROPN
ejpam-3892	285	2	preprint	preprint	PROPN
ejpam-3892	285	3	arxiv:0901.0434	arxiv:0901.0434	NOUN
ejpam-3892	285	4	,	,	PUNCT
ejpam-3892	285	5	2009	2009	NUM
ejpam-3892	285	6	.	.	PUNCT
ejpam-3892	286	1	[	[	X
ejpam-3892	286	2	17	17	NUM
ejpam-3892	286	3	]	]	X
ejpam-3892	286	4	w.	w.	PROPN
ejpam-3892	286	5	weibull	weibull	PROPN
ejpam-3892	286	6	.	.	PUNCT
ejpam-3892	287	1	a	a	DET
ejpam-3892	287	2	statistical	statistical	ADJ
ejpam-3892	287	3	distribution	distribution	NOUN
ejpam-3892	287	4	function	function	NOUN
ejpam-3892	287	5	of	of	ADP
ejpam-3892	287	6	wide	wide	ADJ
ejpam-3892	287	7	applicability	applicability	NOUN
ejpam-3892	287	8	.	.	PUNCT
ejpam-3892	288	1	journal	journal	PROPN
ejpam-3892	288	2	of	of	ADP
ejpam-3892	288	3	applied	apply	VERB
ejpam-3892	288	4	mechanics	mechanic	NOUN
ejpam-3892	288	5	,	,	PUNCT
ejpam-3892	288	6	18(3):293–297	18(3):293–297	PROPN
ejpam-3892	288	7	,	,	PUNCT
ejpam-3892	288	8	1951	1951	NUM
ejpam-3892	288	9	.	.	PUNCT