id	sid	tid	token	lemma	pos
ejpam-5211	1	1	european	european	PROPN
ejpam-5211	1	2	journal	journal	PROPN
ejpam-5211	1	3	of	of	ADP
ejpam-5211	1	4	pure	pure	ADJ
ejpam-5211	1	5	and	and	CCONJ
ejpam-5211	1	6	applied	apply	VERB
ejpam-5211	1	7	mathematics	mathematic	NOUN
ejpam-5211	1	8	vol	vol	NOUN
ejpam-5211	1	9	.	.	PROPN
ejpam-5211	2	1	17	17	NUM
ejpam-5211	2	2	,	,	PUNCT
ejpam-5211	2	3	no	no	INTJ
ejpam-5211	2	4	.	.	NOUN
ejpam-5211	2	5	3	3	NUM
ejpam-5211	2	6	,	,	PUNCT
ejpam-5211	2	7	2024	2024	NUM
ejpam-5211	2	8	,	,	PUNCT
ejpam-5211	2	9	2182	2182	NUM
ejpam-5211	2	10	-	-	SYM
ejpam-5211	2	11	2195	2195	NUM
ejpam-5211	2	12	issn	issn	PROPN
ejpam-5211	2	13	1307	1307	NUM
ejpam-5211	2	14	-	-	SYM
ejpam-5211	2	15	5543	5543	NUM
ejpam-5211	2	16	–	–	PUNCT
ejpam-5211	2	17	ejpam.com	ejpam.com	X
ejpam-5211	2	18	published	publish	VERB
ejpam-5211	2	19	by	by	ADP
ejpam-5211	2	20	new	new	PROPN
ejpam-5211	2	21	york	york	PROPN
ejpam-5211	2	22	business	business	PROPN
ejpam-5211	2	23	global	global	ADJ
ejpam-5211	2	24	order	order	NOUN
ejpam-5211	2	25	statistics	statistic	NOUN
ejpam-5211	2	26	and	and	CCONJ
ejpam-5211	2	27	actuarial	actuarial	ADJ
ejpam-5211	2	28	measures	measure	NOUN
ejpam-5211	2	29	from	from	ADP
ejpam-5211	2	30	powered	powered	ADJ
ejpam-5211	2	31	inverse	inverse	NOUN
ejpam-5211	2	32	rayleigh	rayleigh	NOUN
ejpam-5211	2	33	distribution	distribution	NOUN
ejpam-5211	2	34	m.	m.	NOUN
ejpam-5211	2	35	i.	i.	PROPN
ejpam-5211	2	36	khan	khan	PROPN
ejpam-5211	2	37	department	department	PROPN
ejpam-5211	2	38	of	of	ADP
ejpam-5211	2	39	mathematics	mathematic	NOUN
ejpam-5211	2	40	,	,	PUNCT
ejpam-5211	2	41	faculty	faculty	NOUN
ejpam-5211	2	42	of	of	ADP
ejpam-5211	2	43	science	science	NOUN
ejpam-5211	2	44	,	,	PUNCT
ejpam-5211	2	45	islamic	islamic	PROPN
ejpam-5211	2	46	university	university	PROPN
ejpam-5211	2	47	of	of	ADP
ejpam-5211	2	48	madinah	madinah	PROPN
ejpam-5211	2	49	,	,	PUNCT
ejpam-5211	2	50	madinah42351	madinah42351	PROPN
ejpam-5211	2	51	,	,	PUNCT
ejpam-5211	2	52	kingdom	kingdom	NOUN
ejpam-5211	2	53	of	of	ADP
ejpam-5211	2	54	saudi	saudi	PROPN
ejpam-5211	2	55	arabia	arabia	PROPN
ejpam-5211	2	56	abstract	abstract	NOUN
ejpam-5211	2	57	.	.	PUNCT
ejpam-5211	3	1	nashaat	nashaat	PROPN
ejpam-5211	4	1	[	[	X
ejpam-5211	4	2	25	25	NUM
ejpam-5211	4	3	]	]	PUNCT
ejpam-5211	4	4	introduced	introduce	VERB
ejpam-5211	4	5	the	the	DET
ejpam-5211	4	6	powered	powered	ADJ
ejpam-5211	4	7	inverse	inverse	NOUN
ejpam-5211	4	8	rayleigh	rayleigh	PROPN
ejpam-5211	4	9	(	(	PUNCT
ejpam-5211	4	10	pir	pir	NOUN
ejpam-5211	4	11	)	)	PUNCT
ejpam-5211	4	12	distribution	distribution	NOUN
ejpam-5211	4	13	.	.	PUNCT
ejpam-5211	5	1	it	it	PRON
ejpam-5211	5	2	provides	provide	VERB
ejpam-5211	5	3	a	a	DET
ejpam-5211	5	4	better	well	ADJ
ejpam-5211	5	5	fit	fit	ADJ
ejpam-5211	5	6	other	other	ADJ
ejpam-5211	5	7	than	than	ADP
ejpam-5211	5	8	(	(	PUNCT
ejpam-5211	5	9	inverse	inverse	PROPN
ejpam-5211	5	10	rayleigh	rayleigh	PROPN
ejpam-5211	5	11	,	,	PUNCT
ejpam-5211	5	12	rayleigh	rayleigh	PROPN
ejpam-5211	5	13	,	,	PUNCT
ejpam-5211	5	14	and	and	CCONJ
ejpam-5211	5	15	weibull	weibull	PROPN
ejpam-5211	5	16	)	)	PUNCT
ejpam-5211	5	17	distributions	distribution	NOUN
ejpam-5211	5	18	.	.	PUNCT
ejpam-5211	6	1	the	the	DET
ejpam-5211	6	2	moments	moment	NOUN
ejpam-5211	6	3	of	of	ADP
ejpam-5211	6	4	order	order	NOUN
ejpam-5211	6	5	statistics	statistic	NOUN
ejpam-5211	6	6	and	and	CCONJ
ejpam-5211	6	7	recurrence	recurrence	NOUN
ejpam-5211	6	8	relations	relation	NOUN
ejpam-5211	6	9	for	for	ADP
ejpam-5211	6	10	the	the	DET
ejpam-5211	6	11	single	single	ADJ
ejpam-5211	6	12	and	and	CCONJ
ejpam-5211	6	13	double	double	ADJ
ejpam-5211	6	14	moments	moment	NOUN
ejpam-5211	6	15	have	have	AUX
ejpam-5211	6	16	been	be	AUX
ejpam-5211	6	17	established	establish	VERB
ejpam-5211	6	18	.	.	PUNCT
ejpam-5211	7	1	the	the	DET
ejpam-5211	7	2	computation	computation	NOUN
ejpam-5211	7	3	of	of	ADP
ejpam-5211	7	4	the	the	DET
ejpam-5211	7	5	means	mean	NOUN
ejpam-5211	7	6	and	and	CCONJ
ejpam-5211	7	7	variances	variance	NOUN
ejpam-5211	7	8	are	be	AUX
ejpam-5211	7	9	enumerated	enumerate	VERB
ejpam-5211	7	10	.	.	PUNCT
ejpam-5211	8	1	these	these	DET
ejpam-5211	8	2	computations	computation	NOUN
ejpam-5211	8	3	can	can	AUX
ejpam-5211	8	4	be	be	AUX
ejpam-5211	8	5	truly	truly	ADV
ejpam-5211	8	6	interesting	interesting	ADJ
ejpam-5211	8	7	and	and	CCONJ
ejpam-5211	8	8	applied	apply	VERB
ejpam-5211	8	9	in	in	ADP
ejpam-5211	8	10	numerous	numerous	ADJ
ejpam-5211	8	11	domains	domain	NOUN
ejpam-5211	8	12	of	of	ADP
ejpam-5211	8	13	study	study	NOUN
ejpam-5211	8	14	.	.	PUNCT
ejpam-5211	9	1	moreover	moreover	ADV
ejpam-5211	9	2	,	,	PUNCT
ejpam-5211	9	3	cumulative	cumulative	ADJ
ejpam-5211	9	4	entropy	entropy	NOUN
ejpam-5211	9	5	(	(	PUNCT
ejpam-5211	9	6	c.e	c.e	PROPN
ejpam-5211	9	7	.	.	PROPN
ejpam-5211	9	8	)	)	PUNCT
ejpam-5211	9	9	and	and	CCONJ
ejpam-5211	9	10	actuarial	actuarial	ADJ
ejpam-5211	9	11	measures	measure	NOUN
ejpam-5211	9	12	(	(	PUNCT
ejpam-5211	9	13	a.m.	a.m.	ADV
ejpam-5211	9	14	)	)	PUNCT
ejpam-5211	9	15	are	be	AUX
ejpam-5211	9	16	also	also	ADV
ejpam-5211	9	17	calculated	calculate	VERB
ejpam-5211	9	18	to	to	PART
ejpam-5211	9	19	address	address	VERB
ejpam-5211	9	20	the	the	DET
ejpam-5211	9	21	uncertainty	uncertainty	NOUN
ejpam-5211	9	22	in	in	ADP
ejpam-5211	9	23	portfolio	portfolio	NOUN
ejpam-5211	9	24	optimization	optimization	NOUN
ejpam-5211	9	25	.	.	PUNCT
ejpam-5211	10	1	the	the	DET
ejpam-5211	10	2	usages	usage	NOUN
ejpam-5211	10	3	of	of	ADP
ejpam-5211	10	4	c.	c.	PROPN
ejpam-5211	10	5	e.	e.	PROPN
ejpam-5211	10	6	and	and	CCONJ
ejpam-5211	10	7	a.m.	a.m.	PROPN
ejpam-5211	10	8	are	be	AUX
ejpam-5211	10	9	widespread	widespread	ADJ
ejpam-5211	10	10	in	in	ADP
ejpam-5211	10	11	many	many	ADJ
ejpam-5211	10	12	real	real	ADJ
ejpam-5211	10	13	-	-	PUNCT
ejpam-5211	10	14	word	word	NOUN
ejpam-5211	10	15	applications	application	NOUN
ejpam-5211	10	16	specifically	specifically	ADV
ejpam-5211	10	17	in	in	ADP
ejpam-5211	10	18	physical	physical	ADJ
ejpam-5211	10	19	sciences	science	NOUN
ejpam-5211	10	20	and	and	CCONJ
ejpam-5211	10	21	insurance	insurance	NOUN
ejpam-5211	10	22	science	science	NOUN
ejpam-5211	10	23	.	.	PUNCT
ejpam-5211	11	1	2020	2020	NUM
ejpam-5211	11	2	mathematics	mathematics	PROPN
ejpam-5211	11	3	subject	subject	NOUN
ejpam-5211	11	4	classifications	classification	NOUN
ejpam-5211	11	5	:	:	PUNCT
ejpam-5211	11	6	60e05	60e05	NUM
ejpam-5211	11	7	,	,	PUNCT
ejpam-5211	11	8	62e15	62e15	NUM
ejpam-5211	11	9	,	,	PUNCT
ejpam-5211	11	10	62g30	62g30	NUM
ejpam-5211	11	11	,	,	PUNCT
ejpam-5211	11	12	62f10	62f10	ADJ
ejpam-5211	11	13	key	key	ADJ
ejpam-5211	11	14	words	word	NOUN
ejpam-5211	11	15	and	and	CCONJ
ejpam-5211	11	16	phrases	phrase	NOUN
ejpam-5211	11	17	:	:	PUNCT
ejpam-5211	11	18	order	order	NOUN
ejpam-5211	11	19	statistics	statistic	NOUN
ejpam-5211	11	20	,	,	PUNCT
ejpam-5211	11	21	entropy	entropy	PROPN
ejpam-5211	11	22	,	,	PUNCT
ejpam-5211	11	23	single	single	ADJ
ejpam-5211	11	24	and	and	CCONJ
ejpam-5211	11	25	double	double	ADJ
ejpam-5211	11	26	moments	moment	NOUN
ejpam-5211	11	27	,	,	PUNCT
ejpam-5211	11	28	recurrence	recurrence	NOUN
ejpam-5211	11	29	relations	relation	NOUN
ejpam-5211	11	30	,	,	PUNCT
ejpam-5211	11	31	actuarial	actuarial	ADJ
ejpam-5211	11	32	measures	measure	NOUN
ejpam-5211	11	33	1	1	NUM
ejpam-5211	11	34	.	.	PUNCT
ejpam-5211	11	35	introduction	introduction	NOUN
ejpam-5211	11	36	trayer	trayer	NOUN
ejpam-5211	12	1	[	[	X
ejpam-5211	12	2	30	30	NUM
ejpam-5211	12	3	]	]	PUNCT
ejpam-5211	12	4	discussed	discuss	VERB
ejpam-5211	12	5	inverse	inverse	NOUN
ejpam-5211	12	6	rayleigh	rayleigh	PROPN
ejpam-5211	12	7	(	(	PUNCT
ejpam-5211	12	8	ir	ir	NOUN
ejpam-5211	12	9	)	)	PUNCT
ejpam-5211	12	10	distribution	distribution	NOUN
ejpam-5211	12	11	.	.	PUNCT
ejpam-5211	13	1	voda	voda	PROPN
ejpam-5211	14	1	[	[	X
ejpam-5211	14	2	31	31	NUM
ejpam-5211	14	3	]	]	PUNCT
ejpam-5211	14	4	documented	document	VERB
ejpam-5211	14	5	its	its	PRON
ejpam-5211	14	6	wide	wide	ADJ
ejpam-5211	14	7	ranges	range	NOUN
ejpam-5211	14	8	of	of	ADP
ejpam-5211	14	9	applicability	applicability	NOUN
ejpam-5211	14	10	in	in	ADP
ejpam-5211	14	11	several	several	ADJ
ejpam-5211	14	12	areas	area	NOUN
ejpam-5211	14	13	of	of	ADP
ejpam-5211	14	14	applied	applied	ADJ
ejpam-5211	14	15	and	and	CCONJ
ejpam-5211	14	16	allied	allied	ADJ
ejpam-5211	14	17	sciences	science	NOUN
ejpam-5211	14	18	.	.	PUNCT
ejpam-5211	15	1	since	since	SCONJ
ejpam-5211	15	2	then	then	ADV
ejpam-5211	15	3	,	,	PUNCT
ejpam-5211	15	4	ir	ir	NOUN
ejpam-5211	15	5	distribution	distribution	NOUN
ejpam-5211	15	6	is	be	AUX
ejpam-5211	15	7	steadily	steadily	ADV
ejpam-5211	15	8	growing	grow	VERB
ejpam-5211	15	9	and	and	CCONJ
ejpam-5211	15	10	drawing	draw	VERB
ejpam-5211	15	11	attention	attention	NOUN
ejpam-5211	15	12	by	by	ADP
ejpam-5211	15	13	several	several	ADJ
ejpam-5211	15	14	researchers	researcher	NOUN
ejpam-5211	15	15	via	via	ADP
ejpam-5211	15	16	different	different	ADJ
ejpam-5211	15	17	modifications	modification	NOUN
ejpam-5211	15	18	.	.	PUNCT
ejpam-5211	16	1	the	the	DET
ejpam-5211	16	2	basic	basic	ADJ
ejpam-5211	16	3	idea	idea	NOUN
ejpam-5211	16	4	of	of	ADP
ejpam-5211	16	5	the	the	DET
ejpam-5211	16	6	new	new	ADJ
ejpam-5211	16	7	model	model	NOUN
ejpam-5211	16	8	is	be	AUX
ejpam-5211	16	9	to	to	PART
ejpam-5211	16	10	get	get	VERB
ejpam-5211	16	11	the	the	DET
ejpam-5211	16	12	more	more	ADV
ejpam-5211	16	13	accurate	accurate	ADJ
ejpam-5211	16	14	result	result	NOUN
ejpam-5211	16	15	of	of	ADP
ejpam-5211	16	16	complex	complex	ADJ
ejpam-5211	16	17	data	datum	NOUN
ejpam-5211	16	18	.	.	PUNCT
ejpam-5211	17	1	some	some	DET
ejpam-5211	17	2	notable	notable	ADJ
ejpam-5211	17	3	works	work	NOUN
ejpam-5211	17	4	are	be	AUX
ejpam-5211	17	5	listed	list	VERB
ejpam-5211	17	6	below	below	ADV
ejpam-5211	17	7	.	.	PUNCT
ejpam-5211	18	1	helbaway	helbaway	NOUN
ejpam-5211	18	2	and	and	CCONJ
ejpam-5211	18	3	monem	monem	ADJ
ejpam-5211	19	1	[	[	X
ejpam-5211	19	2	1	1	NUM
ejpam-5211	19	3	]	]	PUNCT
ejpam-5211	19	4	and	and	CCONJ
ejpam-5211	19	5	sindhua	sindhua	PROPN
ejpam-5211	19	6	et	et	PROPN
ejpam-5211	19	7	al	al	PROPN
ejpam-5211	19	8	.	.	PUNCT
ejpam-5211	20	1	[	[	X
ejpam-5211	20	2	29	29	NUM
ejpam-5211	20	3	]	]	PUNCT
ejpam-5211	20	4	estimated	estimate	VERB
ejpam-5211	20	5	the	the	DET
ejpam-5211	20	6	parameters	parameter	NOUN
ejpam-5211	20	7	of	of	ADP
ejpam-5211	20	8	ir	ir	NOUN
ejpam-5211	20	9	distribution	distribution	NOUN
ejpam-5211	20	10	for	for	ADP
ejpam-5211	20	11	complete	complete	ADJ
ejpam-5211	20	12	and	and	CCONJ
ejpam-5211	20	13	censored	censor	VERB
ejpam-5211	20	14	samples	sample	NOUN
ejpam-5211	20	15	using	use	VERB
ejpam-5211	20	16	the	the	DET
ejpam-5211	20	17	bayesian	bayesian	NOUN
ejpam-5211	20	18	approach	approach	NOUN
ejpam-5211	20	19	.	.	PUNCT
ejpam-5211	21	1	merrovci	merrovci	PROPN
ejpam-5211	22	1	[	[	X
ejpam-5211	22	2	23	23	NUM
ejpam-5211	22	3	]	]	PUNCT
ejpam-5211	22	4	presented	present	VERB
ejpam-5211	22	5	transmuted	transmute	VERB
ejpam-5211	22	6	ir	ir	NOUN
ejpam-5211	22	7	distribution	distribution	NOUN
ejpam-5211	22	8	.	.	PUNCT
ejpam-5211	23	1	khan	khan	PROPN
ejpam-5211	24	1	[	[	X
ejpam-5211	24	2	18	18	NUM
ejpam-5211	24	3	]	]	PUNCT
ejpam-5211	24	4	introduced	introduce	VERB
ejpam-5211	24	5	modified	modify	VERB
ejpam-5211	24	6	ir	ir	NOUN
ejpam-5211	24	7	distribution	distribution	NOUN
ejpam-5211	24	8	.	.	PUNCT
ejpam-5211	25	1	khan	khan	PROPN
ejpam-5211	25	2	and	and	CCONJ
ejpam-5211	25	3	king	king	NOUN
ejpam-5211	26	1	[	[	X
ejpam-5211	26	2	21	21	NUM
ejpam-5211	26	3	]	]	PUNCT
ejpam-5211	26	4	introduced	introduce	VERB
ejpam-5211	26	5	transmuted	transmute	VERB
ejpam-5211	26	6	modified	modified	ADJ
ejpam-5211	26	7	ir	ir	NOUN
ejpam-5211	26	8	distribution	distribution	NOUN
ejpam-5211	26	9	.	.	PUNCT
ejpam-5211	27	1	haq	haq	PROPN
ejpam-5211	28	1	[	[	X
ejpam-5211	28	2	15	15	NUM
ejpam-5211	28	3	]	]	PUNCT
ejpam-5211	28	4	presented	present	VERB
ejpam-5211	28	5	transmuted	transmute	VERB
ejpam-5211	28	6	exponentiated	exponentiated	ADJ
ejpam-5211	28	7	ir	ir	NOUN
ejpam-5211	28	8	distribution	distribution	NOUN
ejpam-5211	28	9	.	.	PUNCT
ejpam-5211	29	1	rao	rao	NOUN
ejpam-5211	29	2	and	and	CCONJ
ejpam-5211	29	3	mbwambo	mbwambo	NOUN
ejpam-5211	29	4	[	[	X
ejpam-5211	29	5	27	27	NUM
ejpam-5211	29	6	]	]	PUNCT
ejpam-5211	29	7	established	establish	VERB
ejpam-5211	29	8	exponentiated	exponentiate	VERB
ejpam-5211	29	9	ir	ir	PROPN
ejpam-5211	29	10	distribution	distribution	NOUN
ejpam-5211	29	11	.	.	PUNCT
ejpam-5211	30	1	khan	khan	PROPN
ejpam-5211	31	1	[	[	X
ejpam-5211	31	2	20	20	NUM
ejpam-5211	31	3	]	]	PUNCT
ejpam-5211	31	4	obtained	obtain	VERB
ejpam-5211	31	5	moments	moment	NOUN
ejpam-5211	31	6	properties	property	NOUN
ejpam-5211	31	7	of	of	ADP
ejpam-5211	31	8	pir	pir	PROPN
ejpam-5211	31	9	distribution	distribution	NOUN
ejpam-5211	31	10	based	base	VERB
ejpam-5211	31	11	on	on	ADP
ejpam-5211	31	12	dual	dual	ADJ
ejpam-5211	31	13	generalized	generalize	VERB
ejpam-5211	31	14	order	order	NOUN
ejpam-5211	31	15	statistics	statistic	NOUN
ejpam-5211	31	16	.	.	PUNCT
ejpam-5211	32	1	mustafa	mustafa	PROPN
ejpam-5211	32	2	and	and	CCONJ
ejpam-5211	32	3	khan	khan	PROPN
ejpam-5211	33	1	[	[	X
ejpam-5211	33	2	24	24	NUM
ejpam-5211	33	3	]	]	PUNCT
ejpam-5211	33	4	introduced	introduce	VERB
ejpam-5211	33	5	the	the	DET
ejpam-5211	33	6	length	length	NOUN
ejpam-5211	33	7	-	-	PUNCT
ejpam-5211	33	8	biased	bias	VERB
ejpam-5211	33	9	pir	pir	PROPN
ejpam-5211	33	10	distribution	distribution	NOUN
ejpam-5211	33	11	.	.	PUNCT
ejpam-5211	34	1	recently	recently	ADV
ejpam-5211	34	2	,	,	PUNCT
ejpam-5211	34	3	khan	khan	PROPN
ejpam-5211	34	4	and	and	CCONJ
ejpam-5211	34	5	mustafa	mustafa	PROPN
ejpam-5211	34	6	[	[	X
ejpam-5211	34	7	19	19	NUM
ejpam-5211	34	8	]	]	PUNCT
ejpam-5211	34	9	presented	present	VERB
ejpam-5211	34	10	pir	pir	PROPN
ejpam-5211	34	11	distribution	distribution	NOUN
ejpam-5211	34	12	using	use	VERB
ejpam-5211	34	13	dus	dus	PROPN
ejpam-5211	34	14	doi	doi	PROPN
ejpam-5211	34	15	:	:	PUNCT
ejpam-5211	34	16	https://doi.org/10.29020/nybg.ejpam.v17i3.5211	https://doi.org/10.29020/nybg.ejpam.v17i3.5211	NUM
ejpam-5211	34	17	email	email	NOUN
ejpam-5211	34	18	address	address	NOUN
ejpam-5211	34	19	:	:	PUNCT
ejpam-5211	34	20	izhar.stats@gmail.com	izhar.stats@gmail.com	X
ejpam-5211	34	21	,	,	PUNCT
ejpam-5211	34	22	khanizhar@iu.edu.sa	khanizhar@iu.edu.sa	PROPN
ejpam-5211	34	23	(	(	PUNCT
ejpam-5211	34	24	m.	m.	PROPN
ejpam-5211	34	25	i.	i.	PROPN
ejpam-5211	34	26	khan	khan	PROPN
ejpam-5211	34	27	)	)	PUNCT
ejpam-5211	34	28	https://www.ejpam.com	https://www.ejpam.com	X
ejpam-5211	34	29	2182	2182	NUM
ejpam-5211	34	30	©	©	PROPN
ejpam-5211	34	31	2024	2024	NUM
ejpam-5211	34	32	ejpam	ejpam	NOUN
ejpam-5211	34	33	all	all	DET
ejpam-5211	34	34	rights	right	NOUN
ejpam-5211	34	35	reserved	reserve	VERB
ejpam-5211	34	36	.	.	PUNCT
ejpam-5211	35	1	m.	m.	NOUN
ejpam-5211	35	2	i.	i.	PROPN
ejpam-5211	35	3	khan	khan	PROPN
ejpam-5211	35	4	/	/	SYM
ejpam-5211	35	5	eur	eur	PROPN
ejpam-5211	35	6	.	.	PUNCT
ejpam-5211	36	1	j.	j.	PROPN
ejpam-5211	36	2	pure	pure	PROPN
ejpam-5211	36	3	appl	appl	PROPN
ejpam-5211	36	4	.	.	PROPN
ejpam-5211	36	5	math	math	PROPN
ejpam-5211	36	6	,	,	PUNCT
ejpam-5211	36	7	17	17	NUM
ejpam-5211	36	8	(	(	PUNCT
ejpam-5211	36	9	3	3	NUM
ejpam-5211	36	10	)	)	PUNCT
ejpam-5211	36	11	(	(	PUNCT
ejpam-5211	36	12	2024	2024	NUM
ejpam-5211	36	13	)	)	PUNCT
ejpam-5211	36	14	,	,	PUNCT
ejpam-5211	36	15	2182	2182	NUM
ejpam-5211	36	16	-	-	SYM
ejpam-5211	36	17	2195	2195	NUM
ejpam-5211	36	18	2183	2183	NUM
ejpam-5211	36	19	transformation	transformation	NOUN
ejpam-5211	36	20	.	.	PUNCT
ejpam-5211	37	1	a	a	DET
ejpam-5211	37	2	random	random	ADJ
ejpam-5211	37	3	variable	variable	NOUN
ejpam-5211	37	4	(	(	PUNCT
ejpam-5211	37	5	r.v	r.v	PROPN
ejpam-5211	37	6	.	.	PUNCT
ejpam-5211	37	7	)	)	PUNCT
ejpam-5211	38	1	x	x	X
ejpam-5211	38	2	:	:	PUNCT
ejpam-5211	38	3	(	(	PUNCT
ejpam-5211	38	4	ω→	ω→	X
ejpam-5211	38	5	(	(	PUNCT
ejpam-5211	38	6	0,∞	0,∞	NOUN
ejpam-5211	38	7	)	)	PUNCT
ejpam-5211	38	8	)	)	PUNCT
ejpam-5211	38	9	is	be	AUX
ejpam-5211	38	10	said	say	VERB
ejpam-5211	38	11	to	to	PART
ejpam-5211	38	12	have	have	VERB
ejpam-5211	38	13	pir	pir	NOUN
ejpam-5211	38	14	distribution	distribution	NOUN
ejpam-5211	38	15	,	,	PUNCT
ejpam-5211	38	16	if	if	SCONJ
ejpam-5211	38	17	its	its	PRON
ejpam-5211	38	18	probability	probability	NOUN
ejpam-5211	38	19	density	density	NOUN
ejpam-5211	38	20	function	function	NOUN
ejpam-5211	38	21	(	(	PUNCT
ejpam-5211	38	22	pdf	pdf	NOUN
ejpam-5211	38	23	)	)	PUNCT
ejpam-5211	38	24	is	be	AUX
ejpam-5211	38	25	given	give	VERB
ejpam-5211	38	26	by	by	ADP
ejpam-5211	38	27	f(x	f(x	PROPN
ejpam-5211	38	28	,	,	PUNCT
ejpam-5211	38	29	α	α	NOUN
ejpam-5211	38	30	,	,	PUNCT
ejpam-5211	38	31	θ	θ	NOUN
ejpam-5211	38	32	)	)	PUNCT
ejpam-5211	39	1	=	=	NOUN
ejpam-5211	39	2	2α	2α	NOUN
ejpam-5211	39	3	θx2α+1	θx2α+1	PROPN
ejpam-5211	39	4	e−	e−	PROPN
ejpam-5211	39	5	1	1	NUM
ejpam-5211	39	6	θx2α	θx2α	PROPN
ejpam-5211	39	7	,	,	PUNCT
ejpam-5211	39	8	x	x	X
ejpam-5211	39	9	>	>	X
ejpam-5211	39	10	0	0	NUM
ejpam-5211	39	11	,	,	PUNCT
ejpam-5211	39	12	α	α	X
ejpam-5211	39	13	,	,	PUNCT
ejpam-5211	39	14	θ	θ	PROPN
ejpam-5211	39	15	>	>	X
ejpam-5211	39	16	0	0	PUNCT
ejpam-5211	40	1	(	(	PUNCT
ejpam-5211	40	2	1	1	X
ejpam-5211	40	3	)	)	PUNCT
ejpam-5211	40	4	the	the	DET
ejpam-5211	40	5	cumulative	cumulative	ADJ
ejpam-5211	40	6	distribution	distribution	NOUN
ejpam-5211	40	7	function	function	NOUN
ejpam-5211	40	8	(	(	PUNCT
ejpam-5211	40	9	cdf	cdf	PROPN
ejpam-5211	40	10	)	)	PUNCT
ejpam-5211	40	11	of	of	ADP
ejpam-5211	40	12	(	(	PUNCT
ejpam-5211	40	13	1	1	X
ejpam-5211	40	14	)	)	PUNCT
ejpam-5211	40	15	is	be	AUX
ejpam-5211	40	16	f	f	PROPN
ejpam-5211	40	17	(	(	PUNCT
ejpam-5211	40	18	x	x	NOUN
ejpam-5211	40	19	)	)	PUNCT
ejpam-5211	40	20	=	=	SYM
ejpam-5211	41	1	e−	e−	PROPN
ejpam-5211	41	2	1	1	NUM
ejpam-5211	41	3	θx2α	θx2α	PROPN
ejpam-5211	41	4	,	,	PUNCT
ejpam-5211	41	5	x	x	X
ejpam-5211	41	6	>	>	X
ejpam-5211	41	7	0	0	NUM
ejpam-5211	41	8	,	,	PUNCT
ejpam-5211	41	9	α	α	X
ejpam-5211	41	10	,	,	PUNCT
ejpam-5211	41	11	θ	θ	PROPN
ejpam-5211	41	12	>	>	X
ejpam-5211	41	13	0	0	NUM
ejpam-5211	41	14	.	.	PUNCT
ejpam-5211	42	1	(	(	PUNCT
ejpam-5211	42	2	2	2	X
ejpam-5211	42	3	)	)	PUNCT
ejpam-5211	42	4	hazard	hazard	NOUN
ejpam-5211	42	5	rate	rate	NOUN
ejpam-5211	42	6	function	function	NOUN
ejpam-5211	42	7	:	:	PUNCT
ejpam-5211	43	1	hpird(x	hpird(x	VERB
ejpam-5211	43	2	)	)	PUNCT
ejpam-5211	43	3	=	=	NOUN
ejpam-5211	43	4	2α	2α	NOUN
ejpam-5211	43	5	θx2α+1	θx2α+1	NOUN
ejpam-5211	43	6	(	(	PUNCT
ejpam-5211	43	7	3	3	NUM
ejpam-5211	43	8	)	)	PUNCT
ejpam-5211	43	9	reliability	reliability	NOUN
ejpam-5211	43	10	function	function	NOUN
ejpam-5211	43	11	:	:	PUNCT
ejpam-5211	43	12	spird(x	spird(x	NOUN
ejpam-5211	43	13	)	)	PUNCT
ejpam-5211	43	14	=	=	SYM
ejpam-5211	43	15	1−	1−	NUM
ejpam-5211	43	16	e−	e−	PROPN
ejpam-5211	43	17	1	1	NUM
ejpam-5211	43	18	θx2α	θx2α	PROPN
ejpam-5211	43	19	.	.	PUNCT
ejpam-5211	44	1	(	(	PUNCT
ejpam-5211	44	2	4	4	X
ejpam-5211	44	3	)	)	PUNCT
ejpam-5211	44	4	the	the	DET
ejpam-5211	44	5	following	follow	VERB
ejpam-5211	44	6	functional	functional	ADJ
ejpam-5211	44	7	relationship	relationship	NOUN
ejpam-5211	44	8	exists	exist	VERB
ejpam-5211	44	9	from	from	ADP
ejpam-5211	44	10	(	(	PUNCT
ejpam-5211	44	11	1)and	1)and	NUM
ejpam-5211	44	12	(	(	PUNCT
ejpam-5211	44	13	2	2	NUM
ejpam-5211	44	14	)	)	PUNCT
ejpam-5211	44	15	.	.	PUNCT
ejpam-5211	45	1	f(x	f(x	NOUN
ejpam-5211	45	2	)	)	PUNCT
ejpam-5211	46	1	=	=	NOUN
ejpam-5211	46	2	2α	2α	NOUN
ejpam-5211	46	3	θx2α+1	θx2α+1	PROPN
ejpam-5211	46	4	f	f	PROPN
ejpam-5211	46	5	(	(	PUNCT
ejpam-5211	46	6	x	x	NOUN
ejpam-5211	46	7	)	)	PUNCT
ejpam-5211	46	8	.	.	PUNCT
ejpam-5211	47	1	(	(	PUNCT
ejpam-5211	47	2	5	5	X
ejpam-5211	47	3	)	)	PUNCT
ejpam-5211	47	4	the	the	DET
ejpam-5211	47	5	pir	pir	PROPN
ejpam-5211	47	6	distribution	distribution	NOUN
ejpam-5211	47	7	has	have	VERB
ejpam-5211	47	8	a	a	DET
ejpam-5211	47	9	tremendous	tremendous	ADJ
ejpam-5211	47	10	application	application	NOUN
ejpam-5211	47	11	in	in	ADP
ejpam-5211	47	12	finance	finance	NOUN
ejpam-5211	47	13	,	,	PUNCT
ejpam-5211	47	14	stock	stock	NOUN
ejpam-5211	47	15	market	market	NOUN
ejpam-5211	47	16	and	and	CCONJ
ejpam-5211	47	17	biological	biological	ADJ
ejpam-5211	47	18	sciences	science	NOUN
ejpam-5211	47	19	.	.	PUNCT
ejpam-5211	48	1	note	note	VERB
ejpam-5211	48	2	that	that	SCONJ
ejpam-5211	48	3	the	the	DET
ejpam-5211	48	4	pir	pir	PROPN
ejpam-5211	48	5	distribution	distribution	NOUN
ejpam-5211	48	6	involves	involve	VERB
ejpam-5211	48	7	inverse	inverse	NOUN
ejpam-5211	48	8	rayleigh	rayleigh	PROPN
ejpam-5211	48	9	,	,	PUNCT
ejpam-5211	48	10	rayleigh	rayleigh	PROPN
ejpam-5211	48	11	,	,	PUNCT
ejpam-5211	48	12	and	and	CCONJ
ejpam-5211	48	13	weibull	weibull	PROPN
ejpam-5211	48	14	distributions	distribution	NOUN
ejpam-5211	48	15	as	as	ADP
ejpam-5211	48	16	a	a	DET
ejpam-5211	48	17	sub	sub	NOUN
ejpam-5211	48	18	class	class	NOUN
ejpam-5211	48	19	.	.	PUNCT
ejpam-5211	49	1	the	the	DET
ejpam-5211	49	2	moments	moment	NOUN
ejpam-5211	49	3	of	of	ADP
ejpam-5211	49	4	order	order	NOUN
ejpam-5211	49	5	statistics	statistic	NOUN
ejpam-5211	49	6	(	(	PUNCT
ejpam-5211	49	7	o.s	o.s	PROPN
ejpam-5211	49	8	.	.	PUNCT
ejpam-5211	49	9	)	)	PUNCT
ejpam-5211	49	10	have	have	AUX
ejpam-5211	49	11	been	be	AUX
ejpam-5211	49	12	enumerated	enumerate	VERB
ejpam-5211	49	13	quite	quite	ADV
ejpam-5211	49	14	significantly	significantly	ADV
ejpam-5211	49	15	for	for	ADP
ejpam-5211	49	16	some	some	DET
ejpam-5211	49	17	probability	probability	NOUN
ejpam-5211	49	18	models	model	NOUN
ejpam-5211	49	19	:	:	PUNCT
ejpam-5211	49	20	joshi	joshi	PROPN
ejpam-5211	50	1	[	[	X
ejpam-5211	50	2	17	17	NUM
ejpam-5211	50	3	]	]	PUNCT
ejpam-5211	50	4	,	,	PUNCT
ejpam-5211	50	5	david	david	PROPN
ejpam-5211	51	1	[	[	X
ejpam-5211	51	2	10	10	NUM
ejpam-5211	51	3	]	]	PUNCT
ejpam-5211	51	4	,	,	PUNCT
ejpam-5211	51	5	mohie	mohie	PROPN
ejpam-5211	51	6	el	el	PROPN
ejpam-5211	51	7	-	-	PROPN
ejpam-5211	51	8	din	din	PROPN
ejpam-5211	51	9	et	et	PROPN
ejpam-5211	51	10	al	al	PROPN
ejpam-5211	51	11	.	.	PUNCT
ejpam-5211	52	1	[	[	X
ejpam-5211	52	2	13	13	NUM
ejpam-5211	52	3	]	]	PUNCT
ejpam-5211	52	4	,	,	PUNCT
ejpam-5211	52	5	and	and	CCONJ
ejpam-5211	52	6	arnold	arnold	PROPN
ejpam-5211	52	7	et	et	PROPN
ejpam-5211	52	8	al.[4	al.[4	PROPN
ejpam-5211	52	9	]	]	PUNCT
ejpam-5211	52	10	.	.	PUNCT
ejpam-5211	53	1	goodness	goodness	NOUN
ejpam-5211	53	2	of	of	ADP
ejpam-5211	53	3	fit	fit	ADJ
ejpam-5211	53	4	tests	test	NOUN
ejpam-5211	53	5	,	,	PUNCT
ejpam-5211	53	6	hegazy	hegazy	ADV
ejpam-5211	53	7	et	et	PROPN
ejpam-5211	53	8	al	al	PROPN
ejpam-5211	53	9	.	.	PUNCT
ejpam-5211	54	1	[	[	X
ejpam-5211	54	2	16	16	NUM
ejpam-5211	54	3	]	]	PUNCT
ejpam-5211	54	4	and	and	CCONJ
ejpam-5211	54	5	glen	glen	PROPN
ejpam-5211	54	6	et	et	PROPN
ejpam-5211	54	7	al	al	PROPN
ejpam-5211	54	8	.	.	PUNCT
ejpam-5211	55	1	[	[	X
ejpam-5211	55	2	14	14	NUM
ejpam-5211	55	3	]	]	PUNCT
ejpam-5211	55	4	.	.	PUNCT
ejpam-5211	56	1	david	david	PROPN
ejpam-5211	56	2	and	and	CCONJ
ejpam-5211	56	3	nagaraja	nagaraja	PROPN
ejpam-5211	57	1	[	[	X
ejpam-5211	57	2	11	11	NUM
ejpam-5211	57	3	]	]	PUNCT
ejpam-5211	57	4	and	and	CCONJ
ejpam-5211	57	5	arnold	arnold	PROPN
ejpam-5211	57	6	et	et	PROPN
ejpam-5211	57	7	al	al	PROPN
ejpam-5211	57	8	.	.	PUNCT
ejpam-5211	58	1	[	[	X
ejpam-5211	58	2	5	5	NUM
ejpam-5211	58	3	]	]	PUNCT
ejpam-5211	58	4	have	have	AUX
ejpam-5211	58	5	documented	document	VERB
ejpam-5211	58	6	and	and	CCONJ
ejpam-5211	58	7	explored	explore	VERB
ejpam-5211	58	8	the	the	DET
ejpam-5211	58	9	characterization	characterization	NOUN
ejpam-5211	58	10	of	of	ADP
ejpam-5211	58	11	distribution	distribution	NOUN
ejpam-5211	58	12	using	use	VERB
ejpam-5211	58	13	o.s.the	o.s.the	ADJ
ejpam-5211	58	14	application	application	NOUN
ejpam-5211	58	15	of	of	ADP
ejpam-5211	58	16	moments	moment	NOUN
ejpam-5211	58	17	of	of	ADP
ejpam-5211	58	18	o.s	o.s	PROPN
ejpam-5211	58	19	.	.	PROPN
ejpam-5211	58	20	can	can	AUX
ejpam-5211	58	21	be	be	AUX
ejpam-5211	58	22	especially	especially	ADV
ejpam-5211	58	23	noticed	notice	VERB
ejpam-5211	58	24	in	in	ADP
ejpam-5211	58	25	areas	area	NOUN
ejpam-5211	58	26	including	include	VERB
ejpam-5211	58	27	reliability	reliability	NOUN
ejpam-5211	58	28	theory	theory	NOUN
ejpam-5211	58	29	and	and	CCONJ
ejpam-5211	58	30	quality	quality	NOUN
ejpam-5211	58	31	control	control	NOUN
ejpam-5211	58	32	processes	process	NOUN
ejpam-5211	58	33	.	.	PUNCT
ejpam-5211	59	1	in	in	ADP
ejpam-5211	59	2	this	this	DET
ejpam-5211	59	3	manuscript	manuscript	NOUN
ejpam-5211	59	4	,	,	PUNCT
ejpam-5211	59	5	moments	moment	NOUN
ejpam-5211	59	6	of	of	ADP
ejpam-5211	59	7	o.s	o.s	PROPN
ejpam-5211	59	8	.	.	PROPN
ejpam-5211	59	9	are	be	AUX
ejpam-5211	59	10	derived	derive	VERB
ejpam-5211	59	11	from	from	ADP
ejpam-5211	59	12	pir	pir	PROPN
ejpam-5211	59	13	distribution	distribution	NOUN
ejpam-5211	59	14	.	.	PUNCT
ejpam-5211	60	1	the	the	DET
ejpam-5211	60	2	tabulation	tabulation	NOUN
ejpam-5211	60	3	of	of	ADP
ejpam-5211	60	4	descriptive	descriptive	ADJ
ejpam-5211	60	5	measures	measure	NOUN
ejpam-5211	60	6	based	base	VERB
ejpam-5211	60	7	on	on	ADP
ejpam-5211	60	8	smallest	small	ADJ
ejpam-5211	60	9	,	,	PUNCT
ejpam-5211	60	10	largest	large	ADJ
ejpam-5211	60	11	o.s	o.s	PROPN
ejpam-5211	60	12	.	.	PROPN
ejpam-5211	60	13	and	and	CCONJ
ejpam-5211	60	14	c.e	c.e	PROPN
ejpam-5211	60	15	.	.	PROPN
ejpam-5211	60	16	are	be	AUX
ejpam-5211	60	17	tabulated	tabulate	VERB
ejpam-5211	60	18	for	for	ADP
ejpam-5211	60	19	some	some	DET
ejpam-5211	60	20	fixed	fix	VERB
ejpam-5211	60	21	parameters	parameter	NOUN
ejpam-5211	60	22	in	in	ADP
ejpam-5211	60	23	section	section	NOUN
ejpam-5211	60	24	2	2	NUM
ejpam-5211	60	25	.	.	PUNCT
ejpam-5211	61	1	moreover	moreover	ADV
ejpam-5211	61	2	,	,	PUNCT
ejpam-5211	61	3	recurrence	recurrence	NOUN
ejpam-5211	61	4	relations	relation	NOUN
ejpam-5211	61	5	based	base	VERB
ejpam-5211	61	6	on	on	ADP
ejpam-5211	61	7	single	single	ADJ
ejpam-5211	61	8	and	and	CCONJ
ejpam-5211	61	9	double	double	ADJ
ejpam-5211	61	10	moments	moment	NOUN
ejpam-5211	61	11	are	be	AUX
ejpam-5211	61	12	extracted	extract	VERB
ejpam-5211	61	13	in	in	ADP
ejpam-5211	61	14	section	section	NOUN
ejpam-5211	61	15	3	3	NUM
ejpam-5211	61	16	.	.	PUNCT
ejpam-5211	61	17	actuarial	actuarial	ADJ
ejpam-5211	61	18	measures	measure	NOUN
ejpam-5211	61	19	are	be	AUX
ejpam-5211	61	20	reported	report	VERB
ejpam-5211	61	21	in	in	ADP
ejpam-5211	61	22	section	section	NOUN
ejpam-5211	61	23	4	4	NUM
ejpam-5211	61	24	.	.	PUNCT
ejpam-5211	61	25	and	and	CCONJ
ejpam-5211	61	26	section	section	NOUN
ejpam-5211	61	27	5	5	NUM
ejpam-5211	61	28	is	be	AUX
ejpam-5211	61	29	reported	report	VERB
ejpam-5211	61	30	conclusion	conclusion	NOUN
ejpam-5211	61	31	.	.	PUNCT
ejpam-5211	62	1	2	2	X
ejpam-5211	62	2	.	.	X
ejpam-5211	62	3	order	order	NOUN
ejpam-5211	62	4	statistics	statistic	NOUN
ejpam-5211	62	5	in	in	ADP
ejpam-5211	62	6	quality	quality	NOUN
ejpam-5211	62	7	control	control	NOUN
ejpam-5211	62	8	processes	process	NOUN
ejpam-5211	62	9	and	and	CCONJ
ejpam-5211	62	10	reliability	reliability	NOUN
ejpam-5211	62	11	theory	theory	NOUN
ejpam-5211	62	12	,	,	PUNCT
ejpam-5211	62	13	the	the	DET
ejpam-5211	62	14	o.s	o.s	PROPN
ejpam-5211	62	15	.	.	PROPN
ejpam-5211	62	16	contributes	contribute	VERB
ejpam-5211	62	17	an	an	DET
ejpam-5211	62	18	important	important	ADJ
ejpam-5211	62	19	feature	feature	NOUN
ejpam-5211	62	20	in	in	ADP
ejpam-5211	62	21	forecasting	forecast	VERB
ejpam-5211	62	22	the	the	DET
ejpam-5211	62	23	time	time	NOUN
ejpam-5211	62	24	to	to	PART
ejpam-5211	62	25	fail	fail	VERB
ejpam-5211	62	26	of	of	ADP
ejpam-5211	62	27	a	a	DET
ejpam-5211	62	28	specific	specific	ADJ
ejpam-5211	62	29	item	item	NOUN
ejpam-5211	62	30	by	by	ADP
ejpam-5211	62	31	reviewing	review	VERB
ejpam-5211	62	32	few	few	ADJ
ejpam-5211	62	33	early	early	ADJ
ejpam-5211	62	34	failures	failure	NOUN
ejpam-5211	62	35	,	,	PUNCT
ejpam-5211	62	36	dey	dey	PROPN
ejpam-5211	62	37	et	et	PROPN
ejpam-5211	62	38	al	al	PROPN
ejpam-5211	63	1	[	[	X
ejpam-5211	63	2	12	12	NUM
ejpam-5211	63	3	]	]	PUNCT
ejpam-5211	63	4	.	.	PUNCT
ejpam-5211	64	1	a	a	DET
ejpam-5211	64	2	sequence	sequence	NOUN
ejpam-5211	64	3	of	of	ADP
ejpam-5211	64	4	r.v′s	r.v′s	NOUN
ejpam-5211	64	5	.	.	PUNCT
ejpam-5211	64	6	are	be	AUX
ejpam-5211	64	7	arranged	arrange	VERB
ejpam-5211	64	8	in	in	ADP
ejpam-5211	64	9	their	their	PRON
ejpam-5211	64	10	magnitude	magnitude	NOUN
ejpam-5211	64	11	of	of	ADP
ejpam-5211	64	12	ascending	ascend	VERB
ejpam-5211	64	13	order	order	NOUN
ejpam-5211	64	14	referred	refer	VERB
ejpam-5211	64	15	to	to	ADP
ejpam-5211	64	16	o.s	o.s	PROPN
ejpam-5211	64	17	.	.	PUNCT
ejpam-5211	65	1	let	let	VERB
ejpam-5211	65	2	x1	x1	NUM
ejpam-5211	65	3	:	:	PUNCT
ejpam-5211	65	4	n	n	NOUN
ejpam-5211	65	5	≤	≤	ADJ
ejpam-5211	65	6	x2	x2	NUM
ejpam-5211	65	7	:	:	PUNCT
ejpam-5211	65	8	n	n	PRON
ejpam-5211	65	9	≤	≤	NOUN
ejpam-5211	65	10	·	·	PUNCT
ejpam-5211	65	11	·	·	PUNCT
ejpam-5211	65	12	·	·	PUNCT
ejpam-5211	66	1	≤	≤	NUM
ejpam-5211	67	1	xn	xn	NUM
ejpam-5211	67	2	:	:	PUNCT
ejpam-5211	67	3	n	n	PRON
ejpam-5211	67	4	denote	denote	VERB
ejpam-5211	67	5	the	the	DET
ejpam-5211	67	6	o.s	o.s	PROPN
ejpam-5211	67	7	.	.	PUNCT
ejpam-5211	68	1	then	then	ADV
ejpam-5211	68	2	the	the	DET
ejpam-5211	68	3	pdf	pdf	NOUN
ejpam-5211	68	4	of	of	ADP
ejpam-5211	68	5	kth	kth	PROPN
ejpam-5211	68	6	o.s	o.s	PROPN
ejpam-5211	68	7	.	.	PROPN
ejpam-5211	68	8	xk	xk	PROPN
ejpam-5211	68	9	:	:	PROPN
ejpam-5211	68	10	n	n	X
ejpam-5211	68	11	for	for	ADP
ejpam-5211	68	12	1	1	NUM
ejpam-5211	68	13	≤	≤	NUM
ejpam-5211	68	14	k	k	NOUN
ejpam-5211	68	15	≤	≤	NOUN
ejpam-5211	68	16	n	n	CCONJ
ejpam-5211	68	17	is	be	AUX
ejpam-5211	68	18	reported	report	VERB
ejpam-5211	68	19	by	by	ADP
ejpam-5211	68	20	david	david	PROPN
ejpam-5211	68	21	and	and	CCONJ
ejpam-5211	68	22	nagaraja	nagaraja	PROPN
ejpam-5211	69	1	[	[	X
ejpam-5211	69	2	11	11	NUM
ejpam-5211	69	3	]	]	PUNCT
ejpam-5211	69	4	.	.	PUNCT
ejpam-5211	70	1	fk(x	fk(x	NOUN
ejpam-5211	70	2	)	)	PUNCT
ejpam-5211	71	1	=	=	SYM
ejpam-5211	71	2	ck	ck	ADJ
ejpam-5211	71	3	:	:	PUNCT
ejpam-5211	71	4	n[f	n[f	NUM
ejpam-5211	71	5	(	(	PUNCT
ejpam-5211	71	6	x)]k−1[1−	x)]k−1[1−	PROPN
ejpam-5211	71	7	f	f	PROPN
ejpam-5211	71	8	(	(	PUNCT
ejpam-5211	71	9	x)]n−kf(x),−∞	x)]n−kf(x),−∞	X
ejpam-5211	71	10	<	<	X
ejpam-5211	71	11	x	x	X
ejpam-5211	71	12	<	<	X
ejpam-5211	71	13	∞	∞	PROPN
ejpam-5211	71	14	(	(	PUNCT
ejpam-5211	71	15	6	6	NUM
ejpam-5211	71	16	)	)	PUNCT
ejpam-5211	71	17	m.	m.	NOUN
ejpam-5211	71	18	i.	i.	PROPN
ejpam-5211	71	19	khan	khan	PROPN
ejpam-5211	71	20	/	/	SYM
ejpam-5211	71	21	eur	eur	PROPN
ejpam-5211	71	22	.	.	PUNCT
ejpam-5211	72	1	j.	j.	PROPN
ejpam-5211	72	2	pure	pure	PROPN
ejpam-5211	72	3	appl	appl	PROPN
ejpam-5211	72	4	.	.	PROPN
ejpam-5211	72	5	math	math	PROPN
ejpam-5211	72	6	,	,	PUNCT
ejpam-5211	72	7	17	17	NUM
ejpam-5211	72	8	(	(	PUNCT
ejpam-5211	72	9	3	3	NUM
ejpam-5211	72	10	)	)	PUNCT
ejpam-5211	72	11	(	(	PUNCT
ejpam-5211	72	12	2024	2024	NUM
ejpam-5211	72	13	)	)	PUNCT
ejpam-5211	72	14	,	,	PUNCT
ejpam-5211	72	15	2182	2182	NUM
ejpam-5211	72	16	-	-	SYM
ejpam-5211	72	17	2195	2195	NUM
ejpam-5211	72	18	2184	2184	NUM
ejpam-5211	72	19	where	where	SCONJ
ejpam-5211	72	20	ck	ck	ADJ
ejpam-5211	72	21	:	:	PUNCT
ejpam-5211	72	22	n	n	NOUN
ejpam-5211	72	23	=	=	SYM
ejpam-5211	72	24	n	n	X
ejpam-5211	72	25	!	!	PUNCT
ejpam-5211	73	1	(	(	PUNCT
ejpam-5211	73	2	k	k	X
ejpam-5211	73	3	−	−	PROPN
ejpam-5211	73	4	1)!(n−	1)!(n−	NUM
ejpam-5211	73	5	k	k	NOUN
ejpam-5211	73	6	)	)	PUNCT
ejpam-5211	73	7	!	!	PUNCT
ejpam-5211	74	1	the	the	DET
ejpam-5211	74	2	pdf	pdf	NOUN
ejpam-5211	74	3	of	of	ADP
ejpam-5211	74	4	kth	kth	PROPN
ejpam-5211	74	5	o.s	o.s	PROPN
ejpam-5211	74	6	.	.	PROPN
ejpam-5211	74	7	is	be	AUX
ejpam-5211	74	8	written	write	VERB
ejpam-5211	74	9	as	as	SCONJ
ejpam-5211	74	10	follows	follow	VERB
ejpam-5211	74	11	.	.	PUNCT
ejpam-5211	75	1	fk(x	fk(x	NOUN
ejpam-5211	75	2	)	)	PUNCT
ejpam-5211	76	1	=	=	SYM
ejpam-5211	76	2	ck	ck	ADJ
ejpam-5211	76	3	:	:	PUNCT
ejpam-5211	76	4	n	n	CCONJ
ejpam-5211	76	5	[	[	PUNCT
ejpam-5211	76	6	e−	e−	PROPN
ejpam-5211	76	7	1	1	NUM
ejpam-5211	76	8	θx2α	θx2α	PROPN
ejpam-5211	76	9	]	]	X
ejpam-5211	76	10	k−1	k−1	PROPN
ejpam-5211	76	11	[	[	PUNCT
ejpam-5211	76	12	1−	1−	NUM
ejpam-5211	76	13	e−	e−	PROPN
ejpam-5211	76	14	1	1	NUM
ejpam-5211	76	15	θx2α	θx2α	PROPN
ejpam-5211	76	16	]	]	PUNCT
ejpam-5211	76	17	n−k	n−k	NOUN
ejpam-5211	76	18	2α	2α	NOUN
ejpam-5211	76	19	θx2α+1	θx2α+1	PROPN
ejpam-5211	76	20	e−	e−	PROPN
ejpam-5211	76	21	1	1	NUM
ejpam-5211	76	22	θx2α	θx2α	PROPN
ejpam-5211	76	23	.	.	PUNCT
ejpam-5211	77	1	(	(	PUNCT
ejpam-5211	77	2	7	7	X
ejpam-5211	77	3	)	)	PUNCT
ejpam-5211	77	4	using	use	VERB
ejpam-5211	77	5	binomial	binomial	ADJ
ejpam-5211	77	6	expansion	expansion	NOUN
ejpam-5211	77	7	of	of	ADP
ejpam-5211	77	8	[	[	PUNCT
ejpam-5211	77	9	1−	1−	NUM
ejpam-5211	77	10	e−	e−	PROPN
ejpam-5211	77	11	1	1	NUM
ejpam-5211	77	12	θx2α	θx2α	PROPN
ejpam-5211	77	13	]	]	PUNCT
ejpam-5211	77	14	n−k	n−k	NOUN
ejpam-5211	77	15	,	,	PUNCT
ejpam-5211	77	16	we	we	PRON
ejpam-5211	77	17	have	have	VERB
ejpam-5211	77	18	fk(x	fk(x	NOUN
ejpam-5211	77	19	)	)	PUNCT
ejpam-5211	78	1	=	=	SYM
ejpam-5211	78	2	ck	ck	ADJ
ejpam-5211	78	3	:	:	PUNCT
ejpam-5211	78	4	n	n	NUM
ejpam-5211	78	5	n−k∑	n−k∑	NOUN
ejpam-5211	78	6	t=0	t=0	X
ejpam-5211	78	7	(	(	PUNCT
ejpam-5211	78	8	n−	n−	NOUN
ejpam-5211	78	9	k	k	PROPN
ejpam-5211	78	10	t	t	PROPN
ejpam-5211	78	11	)	)	PUNCT
ejpam-5211	78	12	(	(	PUNCT
ejpam-5211	78	13	−1)te−	−1)te−	X
ejpam-5211	78	14	(	(	PUNCT
ejpam-5211	78	15	k+t	k+t	NUM
ejpam-5211	78	16	)	)	PUNCT
ejpam-5211	79	1	θx2α	θx2α	PROPN
ejpam-5211	79	2	2α	2α	NOUN
ejpam-5211	79	3	θx2α+1	θx2α+1	PROPN
ejpam-5211	79	4	.	.	PUNCT
ejpam-5211	80	1	(	(	PUNCT
ejpam-5211	80	2	8)	8)	NUM
ejpam-5211	80	3	for	for	ADP
ejpam-5211	80	4	k	k	PROPN
ejpam-5211	80	5	=	=	SYM
ejpam-5211	80	6	1	1	NUM
ejpam-5211	80	7	,	,	PUNCT
ejpam-5211	80	8	we	we	PRON
ejpam-5211	80	9	obtain	obtain	VERB
ejpam-5211	80	10	the	the	DET
ejpam-5211	80	11	pdf	pdf	NOUN
ejpam-5211	80	12	of	of	ADP
ejpam-5211	80	13	kth	kth	PROPN
ejpam-5211	80	14	smallest	small	ADJ
ejpam-5211	81	1	o.s	o.s	PROPN
ejpam-5211	81	2	.	.	PUNCT
ejpam-5211	82	1	as	as	ADP
ejpam-5211	82	2	:	:	PUNCT
ejpam-5211	82	3	f1(x	f1(x	NUM
ejpam-5211	82	4	)	)	PUNCT
ejpam-5211	82	5	=	=	SYM
ejpam-5211	82	6	n	n	PROPN
ejpam-5211	82	7	n−1∑	n−1∑	PROPN
ejpam-5211	82	8	t=0	t=0	PROPN
ejpam-5211	82	9	(	(	PUNCT
ejpam-5211	82	10	n−	n−	NOUN
ejpam-5211	82	11	1	1	NUM
ejpam-5211	82	12	t	t	NOUN
ejpam-5211	82	13	)	)	PUNCT
ejpam-5211	82	14	(	(	PUNCT
ejpam-5211	82	15	−1)te−	−1)te−	X
ejpam-5211	82	16	(	(	PUNCT
ejpam-5211	82	17	t+1	t+1	NUM
ejpam-5211	82	18	)	)	PUNCT
ejpam-5211	82	19	θx2α	θx2α	PROPN
ejpam-5211	82	20	2α	2α	NOUN
ejpam-5211	82	21	θx2α+1	θx2α+1	PROPN
ejpam-5211	82	22	.	.	PUNCT
ejpam-5211	83	1	(	(	PUNCT
ejpam-5211	83	2	9	9	X
ejpam-5211	83	3	)	)	PUNCT
ejpam-5211	83	4	similarly	similarly	ADV
ejpam-5211	83	5	,	,	PUNCT
ejpam-5211	83	6	k	k	PROPN
ejpam-5211	83	7	=	=	PUNCT
ejpam-5211	83	8	n	n	CCONJ
ejpam-5211	83	9	,	,	PUNCT
ejpam-5211	83	10	we	we	PRON
ejpam-5211	83	11	obtain	obtain	VERB
ejpam-5211	83	12	the	the	DET
ejpam-5211	83	13	pdf	pdf	NOUN
ejpam-5211	83	14	of	of	ADP
ejpam-5211	84	1	kth	kth	PROPN
ejpam-5211	84	2	largest	large	ADJ
ejpam-5211	84	3	o.s	o.s	PROPN
ejpam-5211	84	4	.	.	PUNCT
ejpam-5211	85	1	as	as	ADP
ejpam-5211	85	2	:	:	PUNCT
ejpam-5211	85	3	fn(x	fn(x	NUM
ejpam-5211	85	4	)	)	PUNCT
ejpam-5211	85	5	=	=	SYM
ejpam-5211	85	6	ne−	ne−	NUM
ejpam-5211	85	7	n	n	X
ejpam-5211	85	8	θx2α	θx2α	PROPN
ejpam-5211	85	9	2α	2α	NOUN
ejpam-5211	85	10	θx2α+1	θx2α+1	PROPN
ejpam-5211	85	11	.	.	PUNCT
ejpam-5211	86	1	(	(	PUNCT
ejpam-5211	86	2	10	10	NUM
ejpam-5211	86	3	)	)	PUNCT
ejpam-5211	86	4	2.1	2.1	NUM
ejpam-5211	86	5	.	.	PUNCT
ejpam-5211	87	1	moments	moment	NOUN
ejpam-5211	87	2	of	of	ADP
ejpam-5211	87	3	kth	kth	PROPN
ejpam-5211	87	4	o.	o.	PROPN
ejpam-5211	87	5	s.	s.	PROPN
ejpam-5211	87	6	in	in	ADP
ejpam-5211	87	7	this	this	DET
ejpam-5211	87	8	subsection	subsection	NOUN
ejpam-5211	87	9	,	,	PUNCT
ejpam-5211	87	10	we	we	PRON
ejpam-5211	87	11	derive	derive	VERB
ejpam-5211	87	12	the	the	DET
ejpam-5211	87	13	moments	moment	NOUN
ejpam-5211	87	14	of	of	ADP
ejpam-5211	87	15	o.s	o.s	PROPN
ejpam-5211	87	16	.	.	PUNCT
ejpam-5211	88	1	when	when	SCONJ
ejpam-5211	88	2	parent	parent	NOUN
ejpam-5211	88	3	population	population	NOUN
ejpam-5211	88	4	is	be	AUX
ejpam-5211	88	5	pir	pir	PROPN
ejpam-5211	88	6	distribution	distribution	NOUN
ejpam-5211	88	7	.	.	PUNCT
ejpam-5211	89	1	theorem	theorem	NOUN
ejpam-5211	89	2	1	1	NUM
ejpam-5211	89	3	.	.	PUNCT
ejpam-5211	90	1	let	let	VERB
ejpam-5211	90	2	x1	x1	NUM
ejpam-5211	90	3	,	,	PUNCT
ejpam-5211	90	4	x2	x2	PROPN
ejpam-5211	90	5	,	,	PUNCT
ejpam-5211	90	6	.	.	PUNCT
ejpam-5211	90	7	.	.	PUNCT
ejpam-5211	91	1	.	.	PUNCT
ejpam-5211	92	1	,	,	PUNCT
ejpam-5211	92	2	xn	xn	PROPN
ejpam-5211	92	3	be	be	AUX
ejpam-5211	92	4	a	a	DET
ejpam-5211	92	5	random	random	ADJ
ejpam-5211	92	6	sample	sample	NOUN
ejpam-5211	92	7	(	(	PUNCT
ejpam-5211	92	8	r.s	r.s	PROPN
ejpam-5211	92	9	.	.	PROPN
ejpam-5211	92	10	)	)	PUNCT
ejpam-5211	92	11	of	of	ADP
ejpam-5211	92	12	size	size	NOUN
ejpam-5211	92	13	n	n	CCONJ
ejpam-5211	92	14	from	from	ADP
ejpam-5211	92	15	pir	pir	NOUN
ejpam-5211	92	16	distribution	distribution	NOUN
ejpam-5211	92	17	and	and	CCONJ
ejpam-5211	92	18	let	let	VERB
ejpam-5211	92	19	x1	x1	NUM
ejpam-5211	92	20	:	:	PUNCT
ejpam-5211	92	21	n	n	CCONJ
ejpam-5211	92	22	,	,	PUNCT
ejpam-5211	92	23	x2	x2	PROPN
ejpam-5211	92	24	:	:	PUNCT
ejpam-5211	92	25	n	n	CCONJ
ejpam-5211	92	26	,	,	PUNCT
ejpam-5211	92	27	.	.	PUNCT
ejpam-5211	92	28	.	.	PUNCT
ejpam-5211	93	1	.	.	PUNCT
ejpam-5211	94	1	,	,	PUNCT
ejpam-5211	94	2	xn	xn	PROPN
ejpam-5211	94	3	:	:	PUNCT
ejpam-5211	94	4	n	n	PRON
ejpam-5211	94	5	mark	mark	VERB
ejpam-5211	94	6	the	the	DET
ejpam-5211	94	7	corresponding	correspond	VERB
ejpam-5211	94	8	the	the	DET
ejpam-5211	94	9	o.s	o.s	PROPN
ejpam-5211	94	10	.	.	PUNCT
ejpam-5211	95	1	then	then	ADV
ejpam-5211	95	2	ith	ith	PROPN
ejpam-5211	95	3	moments	moment	NOUN
ejpam-5211	95	4	of	of	ADP
ejpam-5211	95	5	the	the	DET
ejpam-5211	95	6	kth	kth	PROPN
ejpam-5211	95	7	o.s	o.s	PROPN
ejpam-5211	95	8	.	.	PROPN
ejpam-5211	96	1	for	for	ADP
ejpam-5211	96	2	i	i	PRON
ejpam-5211	96	3	=	=	NOUN
ejpam-5211	96	4	1	1	NUM
ejpam-5211	96	5	,	,	PUNCT
ejpam-5211	96	6	2	2	NUM
ejpam-5211	96	7	,	,	PUNCT
ejpam-5211	96	8	.	.	PUNCT
ejpam-5211	96	9	.	.	PUNCT
ejpam-5211	96	10	.	.	PUNCT
ejpam-5211	97	1	denoted	denote	VERB
ejpam-5211	97	2	by	by	ADP
ejpam-5211	97	3	µ	µ	PROPN
ejpam-5211	97	4	(	(	PUNCT
ejpam-5211	97	5	i	i	NOUN
ejpam-5211	97	6	)	)	PUNCT
ejpam-5211	98	1	k	k	NOUN
ejpam-5211	98	2	:	:	PUNCT
ejpam-5211	98	3	n	n	PRON
ejpam-5211	98	4	is	be	AUX
ejpam-5211	98	5	given	give	VERB
ejpam-5211	98	6	by	by	ADP
ejpam-5211	98	7	µ	µ	PROPN
ejpam-5211	98	8	(	(	PUNCT
ejpam-5211	98	9	i	i	NOUN
ejpam-5211	98	10	)	)	PUNCT
ejpam-5211	99	1	k	k	NOUN
ejpam-5211	99	2	:	:	PUNCT
ejpam-5211	99	3	n	n	PROPN
ejpam-5211	99	4	=	=	SYM
ejpam-5211	99	5	ck	ck	ADJ
ejpam-5211	99	6	:	:	PUNCT
ejpam-5211	99	7	n	n	NUM
ejpam-5211	99	8	n−k∑	n−k∑	NOUN
ejpam-5211	99	9	t=0	t=0	X
ejpam-5211	99	10	(	(	PUNCT
ejpam-5211	99	11	n−	n−	NOUN
ejpam-5211	99	12	r	r	NOUN
ejpam-5211	99	13	t	t	NOUN
ejpam-5211	99	14	)	)	PUNCT
ejpam-5211	99	15	(	(	PUNCT
ejpam-5211	99	16	−1)t(k	−1)t(k	PROPN
ejpam-5211	99	17	+	+	NUM
ejpam-5211	99	18	t	t	PROPN
ejpam-5211	99	19	)	)	PUNCT
ejpam-5211	100	1	i	i	PRON
ejpam-5211	100	2	2α	2α	VERB
ejpam-5211	100	3	−1	−1	VERB
ejpam-5211	100	4	(	(	PUNCT
ejpam-5211	100	5	1	1	NUM
ejpam-5211	100	6	θ	θ	NOUN
ejpam-5211	100	7	)	)	PUNCT
ejpam-5211	101	1	i	i	PRON
ejpam-5211	101	2	2α	2α	VERB
ejpam-5211	101	3	γ	γ	X
ejpam-5211	101	4	(	(	PUNCT
ejpam-5211	101	5	1−	1−	NUM
ejpam-5211	101	6	i	i	PRON
ejpam-5211	101	7	2α	2α	NOUN
ejpam-5211	101	8	)	)	PUNCT
ejpam-5211	101	9	,	,	PUNCT
ejpam-5211	101	10	i	i	PRON
ejpam-5211	101	11	=	=	NOUN
ejpam-5211	101	12	1	1	NUM
ejpam-5211	101	13	,	,	PUNCT
ejpam-5211	101	14	2	2	NUM
ejpam-5211	101	15	,	,	PUNCT
ejpam-5211	101	16	3	3	NUM
ejpam-5211	101	17	,	,	PUNCT
ejpam-5211	101	18	4	4	NUM
ejpam-5211	101	19	.	.	PUNCT
ejpam-5211	102	1	(	(	PUNCT
ejpam-5211	102	2	11	11	NUM
ejpam-5211	102	3	)	)	PUNCT
ejpam-5211	102	4	proof	proof	NOUN
ejpam-5211	102	5	:	:	PUNCT
ejpam-5211	102	6	we	we	PRON
ejpam-5211	102	7	know	know	VERB
ejpam-5211	103	1	that	that	SCONJ
ejpam-5211	103	2	µ	µ	X
ejpam-5211	103	3	(	(	PUNCT
ejpam-5211	103	4	i	i	NOUN
ejpam-5211	103	5	)	)	PUNCT
ejpam-5211	103	6	k	k	NOUN
ejpam-5211	104	1	:	:	PUNCT
ejpam-5211	105	1	n	n	SYM
ejpam-5211	105	2	=	=	SYM
ejpam-5211	105	3	∫	∫	PROPN
ejpam-5211	105	4	∞	∞	PROPN
ejpam-5211	105	5	−∞	−∞	ADP
ejpam-5211	105	6	xifk(x)dx	xifk(x)dx	PROPN
ejpam-5211	105	7	=	=	NOUN
ejpam-5211	105	8	ck	ck	ADJ
ejpam-5211	105	9	:	:	PUNCT
ejpam-5211	105	10	n	n	NUM
ejpam-5211	105	11	n−k∑	n−k∑	NOUN
ejpam-5211	105	12	t=0	t=0	X
ejpam-5211	105	13	(	(	PUNCT
ejpam-5211	105	14	n−	n−	NOUN
ejpam-5211	105	15	k	k	PROPN
ejpam-5211	105	16	t	t	PROPN
ejpam-5211	105	17	)	)	PUNCT
ejpam-5211	105	18	(	(	PUNCT
ejpam-5211	105	19	−1)t	−1)t	PROPN
ejpam-5211	105	20	∫	∫	PROPN
ejpam-5211	105	21	∞	∞	PROPN
ejpam-5211	105	22	0	0	PUNCT
ejpam-5211	106	1	xie−	xie−	NOUN
ejpam-5211	106	2	(	(	PUNCT
ejpam-5211	106	3	k+t	k+t	NUM
ejpam-5211	106	4	)	)	PUNCT
ejpam-5211	106	5	θx2α	θx2α	PROPN
ejpam-5211	106	6	2α	2α	NOUN
ejpam-5211	106	7	θx2α+1	θx2α+1	PROPN
ejpam-5211	106	8	dx	dx	PROPN
ejpam-5211	106	9	.	.	PUNCT
ejpam-5211	107	1	(	(	PUNCT
ejpam-5211	107	2	12	12	X
ejpam-5211	107	3	)	)	PUNCT
ejpam-5211	107	4	letting	let	VERB
ejpam-5211	107	5	u	u	PRON
ejpam-5211	107	6	=	=	X
ejpam-5211	107	7	(	(	PUNCT
ejpam-5211	107	8	k+t	k+t	NUM
ejpam-5211	107	9	)	)	PUNCT
ejpam-5211	107	10	θx2α	θx2α	PROPN
ejpam-5211	107	11	in	in	ADP
ejpam-5211	107	12	(	(	PUNCT
ejpam-5211	107	13	12	12	NUM
ejpam-5211	107	14	)	)	PUNCT
ejpam-5211	107	15	,	,	PUNCT
ejpam-5211	107	16	yields	yield	NOUN
ejpam-5211	107	17	(	(	PUNCT
ejpam-5211	107	18	11	11	NUM
ejpam-5211	107	19	)	)	PUNCT
ejpam-5211	107	20	.	.	PUNCT
ejpam-5211	108	1	m.	m.	PROPN
ejpam-5211	108	2	i.	i.	PROPN
ejpam-5211	108	3	khan	khan	PROPN
ejpam-5211	108	4	/	/	SYM
ejpam-5211	108	5	eur	eur	PROPN
ejpam-5211	108	6	.	.	PUNCT
ejpam-5211	109	1	j.	j.	PROPN
ejpam-5211	109	2	pure	pure	PROPN
ejpam-5211	109	3	appl	appl	PROPN
ejpam-5211	109	4	.	.	PROPN
ejpam-5211	109	5	math	math	PROPN
ejpam-5211	109	6	,	,	PUNCT
ejpam-5211	109	7	17	17	NUM
ejpam-5211	109	8	(	(	PUNCT
ejpam-5211	109	9	3	3	NUM
ejpam-5211	109	10	)	)	PUNCT
ejpam-5211	109	11	(	(	PUNCT
ejpam-5211	109	12	2024	2024	NUM
ejpam-5211	109	13	)	)	PUNCT
ejpam-5211	109	14	,	,	PUNCT
ejpam-5211	109	15	2182	2182	NUM
ejpam-5211	109	16	-	-	SYM
ejpam-5211	109	17	2195	2195	NUM
ejpam-5211	109	18	2185	2185	NUM
ejpam-5211	109	19	remark	remark	NOUN
ejpam-5211	109	20	1	1	NUM
ejpam-5211	109	21	.	.	PUNCT
ejpam-5211	110	1	the	the	DET
ejpam-5211	110	2	kth	kth	PROPN
ejpam-5211	110	3	moments	moment	NOUN
ejpam-5211	110	4	for	for	ADP
ejpam-5211	110	5	smallest	small	ADJ
ejpam-5211	110	6	o.s	o.s	PROPN
ejpam-5211	110	7	.	.	PROPN
ejpam-5211	110	8	from	from	ADP
ejpam-5211	110	9	(	(	PUNCT
ejpam-5211	110	10	11	11	NUM
ejpam-5211	110	11	)	)	PUNCT
ejpam-5211	110	12	is	be	AUX
ejpam-5211	110	13	as	as	SCONJ
ejpam-5211	110	14	follows	follow	VERB
ejpam-5211	110	15	.	.	PUNCT
ejpam-5211	111	1	µ	µ	X
ejpam-5211	111	2	(	(	PUNCT
ejpam-5211	111	3	i	i	NOUN
ejpam-5211	111	4	)	)	PUNCT
ejpam-5211	111	5	1	1	NUM
ejpam-5211	112	1	=	=	SYM
ejpam-5211	112	2	n	n	PRON
ejpam-5211	112	3	n−1∑	n−1∑	PROPN
ejpam-5211	112	4	t=0	t=0	PROPN
ejpam-5211	112	5	(	(	PUNCT
ejpam-5211	112	6	n−	n−	NOUN
ejpam-5211	112	7	1	1	NUM
ejpam-5211	112	8	t	t	NOUN
ejpam-5211	112	9	)	)	PUNCT
ejpam-5211	112	10	(	(	PUNCT
ejpam-5211	112	11	−1)t(t+	−1)t(t+	NOUN
ejpam-5211	112	12	1	1	X
ejpam-5211	112	13	)	)	PUNCT
ejpam-5211	112	14	i	i	PRON
ejpam-5211	112	15	2α	2α	VERB
ejpam-5211	112	16	−1	−1	VERB
ejpam-5211	112	17	(	(	PUNCT
ejpam-5211	112	18	1	1	NUM
ejpam-5211	112	19	θ	θ	NOUN
ejpam-5211	112	20	)	)	PUNCT
ejpam-5211	113	1	i	i	PRON
ejpam-5211	113	2	2α	2α	VERB
ejpam-5211	113	3	γ	γ	X
ejpam-5211	113	4	(	(	PUNCT
ejpam-5211	113	5	1−	1−	NUM
ejpam-5211	113	6	i	i	PRON
ejpam-5211	113	7	2α	2α	VERB
ejpam-5211	113	8	)	)	PUNCT
ejpam-5211	113	9	first	first	ADV
ejpam-5211	113	10	and	and	CCONJ
ejpam-5211	113	11	second	second	ADJ
ejpam-5211	113	12	order	order	NOUN
ejpam-5211	113	13	moments	moment	NOUN
ejpam-5211	113	14	of	of	ADP
ejpam-5211	113	15	kth	kth	PROPN
ejpam-5211	113	16	smallest	small	ADJ
ejpam-5211	113	17	o.s	o.s	PROPN
ejpam-5211	113	18	.	.	PROPN
ejpam-5211	113	19	can	can	AUX
ejpam-5211	113	20	be	be	AUX
ejpam-5211	113	21	obtained	obtain	VERB
ejpam-5211	113	22	at	at	ADP
ejpam-5211	113	23	i	i	PROPN
ejpam-5211	113	24	=	=	NOUN
ejpam-5211	113	25	1	1	NUM
ejpam-5211	113	26	,	,	PUNCT
ejpam-5211	113	27	2	2	NUM
ejpam-5211	113	28	.	.	NOUN
ejpam-5211	113	29	µ	µ	X
ejpam-5211	113	30	(	(	PUNCT
ejpam-5211	113	31	1	1	NUM
ejpam-5211	113	32	)	)	SYM
ejpam-5211	113	33	1	1	NUM
ejpam-5211	113	34	=	=	SYM
ejpam-5211	113	35	n	n	DET
ejpam-5211	113	36	n−1∑	n−1∑	PROPN
ejpam-5211	113	37	t=0	t=0	PROPN
ejpam-5211	113	38	(	(	PUNCT
ejpam-5211	113	39	n−	n−	NOUN
ejpam-5211	113	40	1	1	NUM
ejpam-5211	113	41	t	t	NOUN
ejpam-5211	113	42	)	)	PUNCT
ejpam-5211	113	43	(	(	PUNCT
ejpam-5211	113	44	−1)t(t+	−1)t(t+	NOUN
ejpam-5211	113	45	1	1	NUM
ejpam-5211	113	46	)	)	SYM
ejpam-5211	113	47	1	1	NUM
ejpam-5211	113	48	2α	2α	NOUN
ejpam-5211	113	49	−1	−1	NOUN
ejpam-5211	113	50	(	(	PUNCT
ejpam-5211	113	51	1	1	NUM
ejpam-5211	113	52	θ	θ	NOUN
ejpam-5211	113	53	)	)	PUNCT
ejpam-5211	113	54	1	1	NUM
ejpam-5211	113	55	2α	2α	PROPN
ejpam-5211	113	56	γ	γ	X
ejpam-5211	113	57	(	(	PUNCT
ejpam-5211	113	58	1−	1−	NUM
ejpam-5211	113	59	1	1	NUM
ejpam-5211	113	60	2α	2α	NOUN
ejpam-5211	113	61	)	)	PUNCT
ejpam-5211	113	62	and	and	CCONJ
ejpam-5211	113	63	µ	µ	X
ejpam-5211	113	64	(	(	PUNCT
ejpam-5211	113	65	2	2	NUM
ejpam-5211	113	66	)	)	PUNCT
ejpam-5211	113	67	1	1	NUM
ejpam-5211	113	68	=	=	SYM
ejpam-5211	113	69	n	n	PRON
ejpam-5211	113	70	n−1∑	n−1∑	PROPN
ejpam-5211	113	71	t=0	t=0	PROPN
ejpam-5211	113	72	(	(	PUNCT
ejpam-5211	113	73	n−	n−	NOUN
ejpam-5211	113	74	1	1	NUM
ejpam-5211	113	75	t	t	NOUN
ejpam-5211	113	76	)	)	PUNCT
ejpam-5211	113	77	(	(	PUNCT
ejpam-5211	113	78	−1)t(t+	−1)t(t+	NOUN
ejpam-5211	113	79	1	1	NUM
ejpam-5211	113	80	)	)	PUNCT
ejpam-5211	113	81	1	1	NUM
ejpam-5211	113	82	α	α	NOUN
ejpam-5211	113	83	−1	−1	NOUN
ejpam-5211	113	84	(	(	PUNCT
ejpam-5211	113	85	1	1	NUM
ejpam-5211	113	86	θ	θ	NOUN
ejpam-5211	113	87	)	)	PUNCT
ejpam-5211	113	88	1	1	NUM
ejpam-5211	113	89	α	α	NUM
ejpam-5211	113	90	γ	γ	X
ejpam-5211	113	91	(	(	PUNCT
ejpam-5211	113	92	1−	1−	NUM
ejpam-5211	113	93	1	1	NUM
ejpam-5211	113	94	α	α	NOUN
ejpam-5211	113	95	)	)	PUNCT
ejpam-5211	113	96	therefore	therefore	ADV
ejpam-5211	113	97	,	,	PUNCT
ejpam-5211	113	98	the	the	DET
ejpam-5211	113	99	variance	variance	NOUN
ejpam-5211	113	100	for	for	ADP
ejpam-5211	113	101	kth	kth	PROPN
ejpam-5211	113	102	smallest	small	ADJ
ejpam-5211	113	103	o.s	o.s	PROPN
ejpam-5211	113	104	.	.	PROPN
ejpam-5211	113	105	can	can	AUX
ejpam-5211	113	106	be	be	AUX
ejpam-5211	113	107	obtained	obtain	VERB
ejpam-5211	113	108	as	as	ADP
ejpam-5211	113	109	follows	follow	VERB
ejpam-5211	113	110	.	.	PUNCT
ejpam-5211	114	1	v	v	X
ejpam-5211	114	2	ar(x1	ar(x1	NOUN
ejpam-5211	114	3	)	)	PUNCT
ejpam-5211	114	4	=	=	SYM
ejpam-5211	114	5	µ	µ	X
ejpam-5211	114	6	(	(	PUNCT
ejpam-5211	114	7	2	2	NUM
ejpam-5211	114	8	)	)	PUNCT
ejpam-5211	114	9	1	1	NUM
ejpam-5211	114	10	−	−	NOUN
ejpam-5211	115	1	[	[	X
ejpam-5211	115	2	µ	µ	X
ejpam-5211	115	3	(	(	PUNCT
ejpam-5211	115	4	1	1	NUM
ejpam-5211	115	5	)	)	PUNCT
ejpam-5211	115	6	1	1	NUM
ejpam-5211	115	7	]	]	SYM
ejpam-5211	115	8	2	2	NUM
ejpam-5211	115	9	table	table	NOUN
ejpam-5211	115	10	1	1	NUM
ejpam-5211	115	11	:	:	PUNCT
ejpam-5211	115	12	values	value	NOUN
ejpam-5211	115	13	of	of	ADP
ejpam-5211	115	14	µ	µ	X
ejpam-5211	115	15	(	(	PUNCT
ejpam-5211	115	16	i	i	NOUN
ejpam-5211	115	17	)	)	PUNCT
ejpam-5211	115	18	1	1	NUM
ejpam-5211	115	19	:	:	SYM
ejpam-5211	115	20	n	n	X
ejpam-5211	115	21	for	for	ADP
ejpam-5211	115	22	smallest	small	ADJ
ejpam-5211	115	23	o.s	o.s	PROPN
ejpam-5211	115	24	.	.	PUNCT
ejpam-5211	115	25	when	when	SCONJ
ejpam-5211	115	26	n	n	PROPN
ejpam-5211	115	27	=	=	SYM
ejpam-5211	115	28	4	4	NUM
ejpam-5211	115	29	µ	µ	X
ejpam-5211	115	30	(	(	PUNCT
ejpam-5211	115	31	1	1	NUM
ejpam-5211	115	32	)	)	PUNCT
ejpam-5211	115	33	1	1	NUM
ejpam-5211	115	34	:	:	SYM
ejpam-5211	115	35	n	n	NOUN
ejpam-5211	115	36	α	α	NOUN
ejpam-5211	115	37	θ	θ	NOUN
ejpam-5211	115	38	=	=	SYM
ejpam-5211	115	39	1	1	NUM
ejpam-5211	115	40	θ	θ	NOUN
ejpam-5211	115	41	=	=	SYM
ejpam-5211	115	42	2	2	NUM
ejpam-5211	115	43	θ	θ	NOUN
ejpam-5211	115	44	=	=	SYM
ejpam-5211	115	45	3	3	NUM
ejpam-5211	115	46	θ	θ	NOUN
ejpam-5211	115	47	=	=	SYM
ejpam-5211	115	48	4	4	NUM
ejpam-5211	115	49	θ	θ	NOUN
ejpam-5211	115	50	=	=	SYM
ejpam-5211	115	51	5	5	NUM
ejpam-5211	115	52	2.5	2.5	NUM
ejpam-5211	115	53	0.898	0.898	NUM
ejpam-5211	115	54	0.782	0.782	NUM
ejpam-5211	115	55	0.721	0.721	NUM
ejpam-5211	115	56	0.680	0.680	NUM
ejpam-5211	115	57	0.651	0.651	NUM
ejpam-5211	115	58	3.0	3.0	NUM
ejpam-5211	115	59	0.913	0.913	NUM
ejpam-5211	115	60	0.814	0.814	NUM
ejpam-5211	115	61	0.76	0.76	NUM
ejpam-5211	115	62	0.725	0.725	NUM
ejpam-5211	115	63	0.698	0.698	NUM
ejpam-5211	115	64	3.5	3.5	NUM
ejpam-5211	115	65	0.925	0.925	NUM
ejpam-5211	115	66	0.837	0.837	NUM
ejpam-5211	115	67	0.79	0.79	NUM
ejpam-5211	115	68	0.758	0.758	NUM
ejpam-5211	115	69	0.735	0.735	NUM
ejpam-5211	115	70	4.0	4.0	NUM
ejpam-5211	115	71	0.933	0.933	NUM
ejpam-5211	115	72	0.856	0.856	NUM
ejpam-5211	115	73	0.814	0.814	NUM
ejpam-5211	115	74	0.785	0.785	NUM
ejpam-5211	115	75	0.763	0.763	NUM
ejpam-5211	115	76	µ	µ	X
ejpam-5211	115	77	(	(	PUNCT
ejpam-5211	115	78	2	2	NUM
ejpam-5211	115	79	)	)	PUNCT
ejpam-5211	115	80	1	1	NUM
ejpam-5211	115	81	:	:	PUNCT
ejpam-5211	115	82	n	n	PRON
ejpam-5211	115	83	2.5	2.5	NUM
ejpam-5211	115	84	0.818	0.818	NUM
ejpam-5211	115	85	0.620	0.620	NUM
ejpam-5211	115	86	0.527	0.527	NUM
ejpam-5211	115	87	0.470	0.470	NUM
ejpam-5211	115	88	0.430	0.430	NUM
ejpam-5211	115	89	3.0	3.0	NUM
ejpam-5211	115	90	0.842	0.842	NUM
ejpam-5211	115	91	0.669	0.669	NUM
ejpam-5211	115	92	0.584	0.584	NUM
ejpam-5211	115	93	0.531	0.531	NUM
ejpam-5211	115	94	0.493	0.493	NUM
ejpam-5211	115	95	3.5	3.5	NUM
ejpam-5211	115	96	0.861	0.861	NUM
ejpam-5211	115	97	0.706	0.706	NUM
ejpam-5211	115	98	0.629	0.629	NUM
ejpam-5211	115	99	0.580	0.580	NUM
ejpam-5211	115	100	0.544	0.544	NUM
ejpam-5211	115	101	4.0	4.0	NUM
ejpam-5211	115	102	0.876	0.876	NUM
ejpam-5211	115	103	0.737	0.737	NUM
ejpam-5211	115	104	0.666	0.666	NUM
ejpam-5211	115	105	0.619	0.619	NUM
ejpam-5211	115	106	0.586	0.586	NUM
ejpam-5211	115	107	µ	µ	X
ejpam-5211	115	108	(	(	PUNCT
ejpam-5211	115	109	3	3	NUM
ejpam-5211	115	110	)	)	PUNCT
ejpam-5211	115	111	1	1	NUM
ejpam-5211	115	112	:	:	PUNCT
ejpam-5211	115	113	n	n	PRON
ejpam-5211	115	114	2.5	2.5	NUM
ejpam-5211	115	115	0.756	0.756	NUM
ejpam-5211	115	116	0.499	0.499	NUM
ejpam-5211	115	117	0.391	0.391	NUM
ejpam-5211	115	118	0.329	0.329	NUM
ejpam-5211	115	119	0.288	0.288	NUM
ejpam-5211	115	120	3.0	3.0	NUM
ejpam-5211	115	121	0.785	0.785	NUM
ejpam-5211	115	122	0.555	0.555	NUM
ejpam-5211	115	123	0.453	0.453	NUM
ejpam-5211	115	124	0.393	0.393	NUM
ejpam-5211	115	125	0.351	0.351	NUM
ejpam-5211	115	126	3.5	3.5	NUM
ejpam-5211	115	127	0.808	0.808	NUM
ejpam-5211	115	128	0.600	0.600	NUM
ejpam-5211	115	129	0.505	0.505	NUM
ejpam-5211	115	130	0.446	0.446	NUM
ejpam-5211	115	131	0.405	0.405	NUM
ejpam-5211	115	132	4.0	4.0	NUM
ejpam-5211	115	133	0.827	0.827	NUM
ejpam-5211	115	134	0.638	0.638	NUM
ejpam-5211	115	135	0.548	0.548	NUM
ejpam-5211	115	136	0.492	0.492	NUM
ejpam-5211	115	137	0.452	0.452	NUM
ejpam-5211	115	138	µ	µ	X
ejpam-5211	115	139	(	(	PUNCT
ejpam-5211	115	140	4	4	NUM
ejpam-5211	115	141	)	)	PUNCT
ejpam-5211	115	142	1	1	NUM
ejpam-5211	115	143	:	:	PUNCT
ejpam-5211	115	144	n	n	PRON
ejpam-5211	115	145	2.5	2.5	NUM
ejpam-5211	115	146	0.711	0.711	NUM
ejpam-5211	115	147	0.408	0.408	NUM
ejpam-5211	115	148	0.295	0.295	NUM
ejpam-5211	115	149	0.235	0.235	NUM
ejpam-5211	115	150	0.196	0.196	NUM
ejpam-5211	115	151	3.0	3.0	NUM
ejpam-5211	115	152	0.740	0.740	NUM
ejpam-5211	115	153	0.466	0.466	NUM
ejpam-5211	115	154	0.356	0.356	NUM
ejpam-5211	115	155	0.294	0.294	NUM
ejpam-5211	115	156	0.253	0.253	NUM
ejpam-5211	115	157	3.5	3.5	NUM
ejpam-5211	115	158	0.764	0.764	NUM
ejpam-5211	115	159	0.514	0.514	NUM
ejpam-5211	115	160	0.408	0.408	NUM
ejpam-5211	115	161	0.346	0.346	NUM
ejpam-5211	115	162	0.305	0.305	NUM
ejpam-5211	115	163	4.0	4.0	NUM
ejpam-5211	115	164	0.785	0.785	NUM
ejpam-5211	115	165	0.555	0.555	NUM
ejpam-5211	115	166	0.453	0.453	NUM
ejpam-5211	115	167	0.393	0.393	NUM
ejpam-5211	115	168	0.351	0.351	NUM
ejpam-5211	115	169	m.	m.	NOUN
ejpam-5211	115	170	i.	i.	PROPN
ejpam-5211	115	171	khan	khan	PROPN
ejpam-5211	115	172	/	/	SYM
ejpam-5211	115	173	eur	eur	PROPN
ejpam-5211	115	174	.	.	PUNCT
ejpam-5211	116	1	j.	j.	PROPN
ejpam-5211	116	2	pure	pure	PROPN
ejpam-5211	116	3	appl	appl	PROPN
ejpam-5211	116	4	.	.	PROPN
ejpam-5211	116	5	math	math	PROPN
ejpam-5211	116	6	,	,	PUNCT
ejpam-5211	116	7	17	17	NUM
ejpam-5211	116	8	(	(	PUNCT
ejpam-5211	116	9	3	3	NUM
ejpam-5211	116	10	)	)	PUNCT
ejpam-5211	116	11	(	(	PUNCT
ejpam-5211	116	12	2024	2024	NUM
ejpam-5211	116	13	)	)	PUNCT
ejpam-5211	116	14	,	,	PUNCT
ejpam-5211	116	15	2182	2182	NUM
ejpam-5211	116	16	-	-	SYM
ejpam-5211	116	17	2195	2195	NUM
ejpam-5211	116	18	2186	2186	NUM
ejpam-5211	116	19	table	table	NOUN
ejpam-5211	116	20	1	1	NUM
ejpam-5211	116	21	reveals	reveal	VERB
ejpam-5211	116	22	that	that	SCONJ
ejpam-5211	116	23	for	for	ADP
ejpam-5211	116	24	fixed	fix	VERB
ejpam-5211	116	25	value	value	NOUN
ejpam-5211	116	26	of	of	ADP
ejpam-5211	116	27	θ	θ	PROPN
ejpam-5211	116	28	moments	moment	NOUN
ejpam-5211	116	29	are	be	AUX
ejpam-5211	116	30	increasing	increase	VERB
ejpam-5211	116	31	when	when	SCONJ
ejpam-5211	116	32	α	α	PROPN
ejpam-5211	116	33	is	be	AUX
ejpam-5211	116	34	increasing	increase	VERB
ejpam-5211	116	35	.	.	PUNCT
ejpam-5211	117	1	table	table	NOUN
ejpam-5211	117	2	2	2	NUM
ejpam-5211	117	3	:	:	PUNCT
ejpam-5211	117	4	values	value	NOUN
ejpam-5211	117	5	of	of	ADP
ejpam-5211	117	6	mean	mean	ADJ
ejpam-5211	117	7	,	,	PUNCT
ejpam-5211	117	8	variance	variance	NOUN
ejpam-5211	117	9	,	,	PUNCT
ejpam-5211	117	10	c.v	c.v	PROPN
ejpam-5211	117	11	,	,	PUNCT
ejpam-5211	117	12	skewness	skewness	NOUN
ejpam-5211	117	13	,	,	PUNCT
ejpam-5211	117	14	and	and	CCONJ
ejpam-5211	117	15	kurtosis	kurtosis	VERB
ejpam-5211	117	16	for	for	ADP
ejpam-5211	117	17	the	the	DET
ejpam-5211	117	18	smallest	small	ADJ
ejpam-5211	117	19	o.s	o.s	NOUN
ejpam-5211	117	20	.	.	PUNCT
ejpam-5211	118	1	when	when	SCONJ
ejpam-5211	118	2	n	n	PROPN
ejpam-5211	118	3	=	=	SYM
ejpam-5211	118	4	4	4	NUM
ejpam-5211	118	5	mean	mean	NOUN
ejpam-5211	118	6	=	=	SYM
ejpam-5211	118	7	µ	µ	X
ejpam-5211	118	8	(	(	PUNCT
ejpam-5211	118	9	1	1	NUM
ejpam-5211	118	10	)	)	PUNCT
ejpam-5211	118	11	1	1	NUM
ejpam-5211	118	12	:	:	SYM
ejpam-5211	118	13	n	n	NOUN
ejpam-5211	118	14	α	α	NOUN
ejpam-5211	118	15	θ	θ	NOUN
ejpam-5211	118	16	=	=	SYM
ejpam-5211	118	17	1	1	NUM
ejpam-5211	118	18	θ	θ	NOUN
ejpam-5211	118	19	=	=	SYM
ejpam-5211	118	20	2	2	NUM
ejpam-5211	118	21	θ	θ	NOUN
ejpam-5211	118	22	=	=	SYM
ejpam-5211	118	23	3	3	NUM
ejpam-5211	118	24	θ	θ	NOUN
ejpam-5211	118	25	=	=	SYM
ejpam-5211	118	26	4	4	NUM
ejpam-5211	118	27	θ	θ	NOUN
ejpam-5211	118	28	=	=	SYM
ejpam-5211	118	29	5	5	NUM
ejpam-5211	118	30	2.5	2.5	NUM
ejpam-5211	118	31	0.898	0.898	NUM
ejpam-5211	118	32	0.782	0.782	NUM
ejpam-5211	118	33	0.721	0.721	NUM
ejpam-5211	118	34	0.680	0.680	NUM
ejpam-5211	118	35	0.651	0.651	NUM
ejpam-5211	118	36	3.0	3.0	NUM
ejpam-5211	118	37	0.913	0.913	NUM
ejpam-5211	118	38	0.814	0.814	NUM
ejpam-5211	118	39	0.76	0.76	NUM
ejpam-5211	118	40	0.725	0.725	NUM
ejpam-5211	118	41	0.698	0.698	NUM
ejpam-5211	118	42	3.5	3.5	NUM
ejpam-5211	118	43	0.925	0.925	NUM
ejpam-5211	118	44	0.837	0.837	NUM
ejpam-5211	118	45	0.79	0.79	NUM
ejpam-5211	118	46	0.758	0.758	NUM
ejpam-5211	118	47	0.735	0.735	NUM
ejpam-5211	118	48	4.0	4.0	NUM
ejpam-5211	118	49	0.933	0.933	NUM
ejpam-5211	118	50	0.856	0.856	NUM
ejpam-5211	118	51	0.814	0.814	NUM
ejpam-5211	118	52	0.785	0.785	NUM
ejpam-5211	118	53	0.763	0.763	NUM
ejpam-5211	118	54	variance	variance	NOUN
ejpam-5211	118	55	α	α	NOUN
ejpam-5211	118	56	θ	θ	NOUN
ejpam-5211	118	57	=	=	SYM
ejpam-5211	118	58	1	1	NUM
ejpam-5211	118	59	θ	θ	NOUN
ejpam-5211	118	60	=	=	SYM
ejpam-5211	118	61	2	2	NUM
ejpam-5211	118	62	θ	θ	NOUN
ejpam-5211	118	63	=	=	SYM
ejpam-5211	118	64	3	3	NUM
ejpam-5211	118	65	θ	θ	NOUN
ejpam-5211	118	66	=	=	SYM
ejpam-5211	118	67	4	4	NUM
ejpam-5211	118	68	θ	θ	NOUN
ejpam-5211	118	69	=	=	SYM
ejpam-5211	118	70	5	5	NUM
ejpam-5211	118	71	2.5	2.5	NUM
ejpam-5211	118	72	0.0117	0.0117	NUM
ejpam-5211	118	73	0.0089	0.0089	NUM
ejpam-5211	118	74	0.0076	0.0076	NUM
ejpam-5211	118	75	0.0067	0.0067	NUM
ejpam-5211	118	76	0.0062	0.0062	NUM
ejpam-5211	118	77	3.0	3.0	NUM
ejpam-5211	118	78	0.0083	0.0083	NUM
ejpam-5211	118	79	0.0066	0.0066	NUM
ejpam-5211	118	80	0.0058	0.0058	NUM
ejpam-5211	118	81	0.0052	0.0052	NUM
ejpam-5211	118	82	0.0049	0.0049	NUM
ejpam-5211	118	83	3.5	3.5	NUM
ejpam-5211	118	84	0.0062	0.0062	NUM
ejpam-5211	118	85	0.0051	0.0051	NUM
ejpam-5211	118	86	0.0046	0.0046	NUM
ejpam-5211	118	87	0.0042	0.0042	NUM
ejpam-5211	118	88	0.0039	0.0039	NUM
ejpam-5211	119	1	4.0	4.0	NUM
ejpam-5211	119	2	0.0048	0.0048	NUM
ejpam-5211	119	3	0.0041	0.0041	NUM
ejpam-5211	119	4	0.0037	0.0037	NUM
ejpam-5211	119	5	0.0034	0.0034	NUM
ejpam-5211	119	6	0.0032	0.0032	NUM
ejpam-5211	119	7	c.v	c.v	PROPN
ejpam-5211	119	8	.	.	PROPN
ejpam-5211	119	9	α	α	NOUN
ejpam-5211	119	10	θ	θ	NOUN
ejpam-5211	119	11	=	=	SYM
ejpam-5211	119	12	1	1	NUM
ejpam-5211	119	13	θ	θ	NOUN
ejpam-5211	119	14	=	=	SYM
ejpam-5211	119	15	2	2	NUM
ejpam-5211	119	16	θ	θ	NOUN
ejpam-5211	119	17	=	=	SYM
ejpam-5211	119	18	3	3	NUM
ejpam-5211	119	19	θ	θ	NOUN
ejpam-5211	119	20	=	=	SYM
ejpam-5211	119	21	4	4	NUM
ejpam-5211	119	22	θ	θ	NOUN
ejpam-5211	119	23	=	=	SYM
ejpam-5211	119	24	5	5	NUM
ejpam-5211	119	25	2.5	2.5	NUM
ejpam-5211	119	26	12.057	12.057	NUM
ejpam-5211	119	27	12.057	12.057	NUM
ejpam-5211	119	28	12.057	12.057	NUM
ejpam-5211	119	29	12.057	12.057	NUM
ejpam-5211	119	30	12.057	12.057	NUM
ejpam-5211	119	31	3.0	3.0	NUM
ejpam-5211	119	32	9.995	9.995	NUM
ejpam-5211	119	33	9.995	9.995	NUM
ejpam-5211	119	34	9.995	9.995	NUM
ejpam-5211	119	35	9.995	9.995	NUM
ejpam-5211	119	36	9.995	9.995	NUM
ejpam-5211	119	37	3.5	3.5	NUM
ejpam-5211	119	38	8.536	8.536	NUM
ejpam-5211	119	39	8.536	8.536	NUM
ejpam-5211	119	40	8.536	8.536	NUM
ejpam-5211	119	41	8.536	8.536	NUM
ejpam-5211	119	42	8.536	8.536	NUM
ejpam-5211	119	43	4.0	4.0	NUM
ejpam-5211	119	44	7.450	7.450	NUM
ejpam-5211	119	45	7.450	7.450	NUM
ejpam-5211	119	46	7.450	7.450	NUM
ejpam-5211	119	47	7.450	7.450	NUM
ejpam-5211	119	48	7.450	7.450	NUM
ejpam-5211	119	49	skewness	skewness	NOUN
ejpam-5211	119	50	α	α	NOUN
ejpam-5211	119	51	θ	θ	NOUN
ejpam-5211	119	52	=	=	SYM
ejpam-5211	119	53	1	1	NUM
ejpam-5211	119	54	θ	θ	NOUN
ejpam-5211	119	55	=	=	SYM
ejpam-5211	119	56	2	2	NUM
ejpam-5211	119	57	θ	θ	NOUN
ejpam-5211	119	58	=	=	SYM
ejpam-5211	119	59	3	3	NUM
ejpam-5211	119	60	θ	θ	NOUN
ejpam-5211	119	61	=	=	SYM
ejpam-5211	119	62	4	4	NUM
ejpam-5211	119	63	θ	θ	NOUN
ejpam-5211	119	64	=	=	SYM
ejpam-5211	119	65	5	5	NUM
ejpam-5211	119	66	2.5	2.5	NUM
ejpam-5211	119	67	0.809	0.809	NUM
ejpam-5211	119	68	0.809	0.809	NUM
ejpam-5211	119	69	0.809	0.809	NUM
ejpam-5211	119	70	0.809	0.809	NUM
ejpam-5211	119	71	0.809	0.809	NUM
ejpam-5211	119	72	3.0	3.0	NUM
ejpam-5211	119	73	0.734	0.734	NUM
ejpam-5211	119	74	0.734	0.734	NUM
ejpam-5211	119	75	0.734	0.734	NUM
ejpam-5211	119	76	0.734	0.734	NUM
ejpam-5211	119	77	0.734	0.734	NUM
ejpam-5211	119	78	3.5	3.5	NUM
ejpam-5211	119	79	0.682	0.682	NUM
ejpam-5211	119	80	0.682	0.682	NUM
ejpam-5211	119	81	0.682	0.682	NUM
ejpam-5211	119	82	0.682	0.682	NUM
ejpam-5211	119	83	0.682	0.682	NUM
ejpam-5211	119	84	4.0	4.0	NUM
ejpam-5211	119	85	0.643	0.643	NUM
ejpam-5211	119	86	0.643	0.643	NUM
ejpam-5211	119	87	0.643	0.643	NUM
ejpam-5211	119	88	0.643	0.643	NUM
ejpam-5211	119	89	0.643	0.643	NUM
ejpam-5211	119	90	kurtosis	kurtosis	NOUN
ejpam-5211	119	91	α	α	NOUN
ejpam-5211	119	92	θ	θ	NOUN
ejpam-5211	119	93	=	=	SYM
ejpam-5211	119	94	1	1	NUM
ejpam-5211	119	95	θ	θ	NOUN
ejpam-5211	119	96	=	=	SYM
ejpam-5211	119	97	2	2	NUM
ejpam-5211	119	98	θ	θ	NOUN
ejpam-5211	119	99	=	=	SYM
ejpam-5211	119	100	3	3	NUM
ejpam-5211	119	101	θ	θ	NOUN
ejpam-5211	119	102	=	=	SYM
ejpam-5211	119	103	4	4	NUM
ejpam-5211	119	104	θ	θ	NOUN
ejpam-5211	119	105	=	=	SYM
ejpam-5211	119	106	5	5	NUM
ejpam-5211	119	107	2.5	2.5	NUM
ejpam-5211	119	108	4.426	4.426	NUM
ejpam-5211	119	109	4.426	4.426	NUM
ejpam-5211	119	110	4.426	4.426	NUM
ejpam-5211	119	111	4.426	4.426	NUM
ejpam-5211	119	112	4.426	4.426	NUM
ejpam-5211	119	113	3.0	3.0	NUM
ejpam-5211	119	114	4.178	4.178	NUM
ejpam-5211	119	115	4.178	4.178	NUM
ejpam-5211	119	116	4.178	4.178	NUM
ejpam-5211	119	117	4.178	4.178	NUM
ejpam-5211	119	118	4.178	4.178	NUM
ejpam-5211	119	119	3.5	3.5	NUM
ejpam-5211	119	120	4.021	4.021	NUM
ejpam-5211	119	121	4.021	4.021	NUM
ejpam-5211	119	122	4.021	4.021	NUM
ejpam-5211	119	123	4.021	4.021	NUM
ejpam-5211	119	124	4.021	4.021	NUM
ejpam-5211	119	125	4.0	4.0	NUM
ejpam-5211	119	126	3.914	3.914	NUM
ejpam-5211	119	127	3.914	3.914	NUM
ejpam-5211	119	128	3.914	3.914	NUM
ejpam-5211	119	129	3.914	3.914	NUM
ejpam-5211	119	130	3.914	3.914	NUM
ejpam-5211	119	131	table	table	NOUN
ejpam-5211	119	132	2	2	NUM
ejpam-5211	119	133	exhibits	exhibit	VERB
ejpam-5211	119	134	that	that	SCONJ
ejpam-5211	119	135	variances	variance	NOUN
ejpam-5211	119	136	,	,	PUNCT
ejpam-5211	119	137	skewness	skewness	NOUN
ejpam-5211	119	138	and	and	CCONJ
ejpam-5211	119	139	kurtosis	kurtosis	NOUN
ejpam-5211	119	140	are	be	AUX
ejpam-5211	119	141	decreasing	decrease	VERB
ejpam-5211	119	142	when	when	SCONJ
ejpam-5211	119	143	α	α	PROPN
ejpam-5211	119	144	is	be	AUX
ejpam-5211	119	145	increasing	increase	VERB
ejpam-5211	119	146	except	except	SCONJ
ejpam-5211	119	147	momentsat	momentsat	ADJ
ejpam-5211	119	148	fixed	fix	VERB
ejpam-5211	119	149	value	value	NOUN
ejpam-5211	119	150	of	of	ADP
ejpam-5211	119	151	θ	θ	PROPN
ejpam-5211	119	152	.	.	PUNCT
ejpam-5211	119	153	remark	remark	PROPN
ejpam-5211	119	154	2	2	NUM
ejpam-5211	119	155	.	.	PUNCT
ejpam-5211	120	1	the	the	DET
ejpam-5211	120	2	kth	kth	PROPN
ejpam-5211	120	3	moments	moment	NOUN
ejpam-5211	120	4	for	for	ADP
ejpam-5211	120	5	largest	large	ADJ
ejpam-5211	120	6	o.s	o.s	PROPN
ejpam-5211	120	7	.	.	PROPN
ejpam-5211	120	8	from	from	ADP
ejpam-5211	120	9	(	(	PUNCT
ejpam-5211	120	10	11	11	NUM
ejpam-5211	120	11	)	)	PUNCT
ejpam-5211	120	12	is	be	AUX
ejpam-5211	120	13	as	as	SCONJ
ejpam-5211	120	14	follows	follow	VERB
ejpam-5211	120	15	.	.	PUNCT
ejpam-5211	121	1	µ(i	µ(i	PROPN
ejpam-5211	121	2	)	)	PUNCT
ejpam-5211	122	1	n	n	PROPN
ejpam-5211	122	2	=	=	SYM
ejpam-5211	122	3	n	n	PROPN
ejpam-5211	123	1	i	i	PRON
ejpam-5211	123	2	2α	2α	NOUN
ejpam-5211	123	3	(	(	PUNCT
ejpam-5211	123	4	1	1	NUM
ejpam-5211	123	5	θ	θ	NOUN
ejpam-5211	123	6	)	)	PUNCT
ejpam-5211	124	1	i	i	PRON
ejpam-5211	124	2	2α	2α	VERB
ejpam-5211	124	3	γ	γ	X
ejpam-5211	124	4	(	(	PUNCT
ejpam-5211	124	5	1−	1−	NUM
ejpam-5211	124	6	i	i	PRON
ejpam-5211	124	7	2α	2α	NOUN
ejpam-5211	124	8	)	)	PUNCT
ejpam-5211	124	9	.	.	PUNCT
ejpam-5211	125	1	m.	m.	NOUN
ejpam-5211	125	2	i.	i.	PROPN
ejpam-5211	125	3	khan	khan	PROPN
ejpam-5211	125	4	/	/	SYM
ejpam-5211	125	5	eur	eur	PROPN
ejpam-5211	125	6	.	.	PUNCT
ejpam-5211	126	1	j.	j.	PROPN
ejpam-5211	126	2	pure	pure	PROPN
ejpam-5211	126	3	appl	appl	PROPN
ejpam-5211	126	4	.	.	PROPN
ejpam-5211	126	5	math	math	PROPN
ejpam-5211	126	6	,	,	PUNCT
ejpam-5211	126	7	17	17	NUM
ejpam-5211	126	8	(	(	PUNCT
ejpam-5211	126	9	3	3	NUM
ejpam-5211	126	10	)	)	PUNCT
ejpam-5211	126	11	(	(	PUNCT
ejpam-5211	126	12	2024	2024	NUM
ejpam-5211	126	13	)	)	PUNCT
ejpam-5211	126	14	,	,	PUNCT
ejpam-5211	126	15	2182	2182	NUM
ejpam-5211	126	16	-	-	SYM
ejpam-5211	126	17	2195	2195	NUM
ejpam-5211	126	18	2187	2187	NUM
ejpam-5211	126	19	table	table	NOUN
ejpam-5211	126	20	3	3	NUM
ejpam-5211	126	21	:	:	PUNCT
ejpam-5211	126	22	values	value	NOUN
ejpam-5211	126	23	of	of	ADP
ejpam-5211	126	24	µ	µ	X
ejpam-5211	126	25	(	(	PUNCT
ejpam-5211	126	26	i	i	NOUN
ejpam-5211	126	27	)	)	PUNCT
ejpam-5211	126	28	n	n	CCONJ
ejpam-5211	126	29	:	:	PUNCT
ejpam-5211	126	30	n	n	X
ejpam-5211	126	31	for	for	ADP
ejpam-5211	126	32	largest	large	ADJ
ejpam-5211	126	33	o.	o.	NOUN
ejpam-5211	126	34	s.	s.	PROPN
ejpam-5211	126	35	when	when	SCONJ
ejpam-5211	126	36	n	n	X
ejpam-5211	126	37	=	=	SYM
ejpam-5211	126	38	4	4	NUM
ejpam-5211	126	39	.	.	X
ejpam-5211	126	40	µ	µ	X
ejpam-5211	126	41	(	(	PUNCT
ejpam-5211	126	42	1	1	NUM
ejpam-5211	126	43	)	)	PUNCT
ejpam-5211	126	44	n	n	CCONJ
ejpam-5211	126	45	:	:	PUNCT
ejpam-5211	126	46	n	n	NOUN
ejpam-5211	126	47	α	α	NOUN
ejpam-5211	126	48	θ	θ	NOUN
ejpam-5211	127	1	=	=	SYM
ejpam-5211	127	2	1	1	NUM
ejpam-5211	127	3	θ	θ	NOUN
ejpam-5211	127	4	=	=	SYM
ejpam-5211	127	5	2	2	NUM
ejpam-5211	127	6	θ	θ	NOUN
ejpam-5211	127	7	=	=	SYM
ejpam-5211	127	8	3	3	NUM
ejpam-5211	127	9	θ	θ	NOUN
ejpam-5211	127	10	=	=	SYM
ejpam-5211	127	11	4	4	NUM
ejpam-5211	127	12	θ	θ	NOUN
ejpam-5211	127	13	=	=	SYM
ejpam-5211	127	14	5	5	NUM
ejpam-5211	127	15	2.5	2.5	NUM
ejpam-5211	127	16	1.536	1.536	NUM
ejpam-5211	127	17	1.337	1.337	NUM
ejpam-5211	127	18	1.233	1.233	NUM
ejpam-5211	127	19	1.164	1.164	NUM
ejpam-5211	127	20	1.113	1.113	NUM
ejpam-5211	127	21	3.0	3.0	NUM
ejpam-5211	127	22	1.422	1.422	NUM
ejpam-5211	127	23	1.267	1.267	NUM
ejpam-5211	127	24	1.184	1.184	NUM
ejpam-5211	127	25	1.129	1.129	NUM
ejpam-5211	127	26	1.088	1.088	NUM
ejpam-5211	127	27	3.5	3.5	NUM
ejpam-5211	127	28	1.348	1.348	NUM
ejpam-5211	127	29	1.221	1.221	NUM
ejpam-5211	127	30	1.152	1.152	NUM
ejpam-5211	127	31	1.106	1.106	NUM
ejpam-5211	127	32	1.071	1.071	NUM
ejpam-5211	127	33	4.0	4.0	NUM
ejpam-5211	127	34	1.296	1.296	NUM
ejpam-5211	127	35	1.188	1.188	NUM
ejpam-5211	127	36	1.13	1.13	NUM
ejpam-5211	127	37	1.09	1.09	NUM
ejpam-5211	127	38	1.06	1.06	NUM
ejpam-5211	127	39	µ2	µ2	NOUN
ejpam-5211	127	40	n	n	CCONJ
ejpam-5211	127	41	:	:	PUNCT
ejpam-5211	127	42	n	n	PROPN
ejpam-5211	127	43	2.5	2.5	NUM
ejpam-5211	127	44	2.593	2.593	NUM
ejpam-5211	127	45	1.965	1.965	NUM
ejpam-5211	127	46	1.671	1.671	NUM
ejpam-5211	127	47	1.489	1.489	NUM
ejpam-5211	127	48	1.362	1.362	NUM
ejpam-5211	127	49	3.0	3.0	NUM
ejpam-5211	127	50	2.15	2.15	NUM
ejpam-5211	127	51	1.706	1.706	NUM
ejpam-5211	127	52	1.49	1.49	NUM
ejpam-5211	127	53	1.354	1.354	NUM
ejpam-5211	127	54	1.257	1.257	NUM
ejpam-5211	127	55	3.5	3.5	NUM
ejpam-5211	127	56	1.896	1.896	NUM
ejpam-5211	127	57	1.555	1.555	NUM
ejpam-5211	127	58	1.385	1.385	NUM
ejpam-5211	127	59	1.276	1.276	NUM
ejpam-5211	127	60	1.197	1.197	NUM
ejpam-5211	127	61	4.0	4.0	NUM
ejpam-5211	127	62	1.733	1.733	NUM
ejpam-5211	127	63	1.457	1.457	NUM
ejpam-5211	127	64	1.317	1.317	NUM
ejpam-5211	127	65	1.225	1.225	NUM
ejpam-5211	127	66	1.159	1.159	NUM
ejpam-5211	127	67	µ3	µ3	NOUN
ejpam-5211	127	68	n	n	CCONJ
ejpam-5211	127	69	:	:	PUNCT
ejpam-5211	127	70	n	n	PROPN
ejpam-5211	127	71	2.5	2.5	NUM
ejpam-5211	127	72	5.096	5.096	NUM
ejpam-5211	127	73	3.362	3.362	NUM
ejpam-5211	127	74	2.636	2.636	NUM
ejpam-5211	127	75	2.218	2.218	NUM
ejpam-5211	127	76	1.94	1.94	NUM
ejpam-5211	127	77	3.0	3.0	NUM
ejpam-5211	127	78	3.545	3.545	NUM
ejpam-5211	127	79	2.507	2.507	NUM
ejpam-5211	127	80	2.047	2.047	NUM
ejpam-5211	127	81	1.772	1.772	NUM
ejpam-5211	127	82	1.585	1.585	NUM
ejpam-5211	127	83	3.5	3.5	NUM
ejpam-5211	127	84	2.823	2.823	NUM
ejpam-5211	127	85	2.098	2.098	NUM
ejpam-5211	127	86	1.763	1.763	NUM
ejpam-5211	127	87	1.559	1.559	NUM
ejpam-5211	127	88	1.416	1.416	NUM
ejpam-5211	127	89	4.0	4.0	NUM
ejpam-5211	127	90	2.413	2.413	NUM
ejpam-5211	127	91	1.86	1.86	NUM
ejpam-5211	127	92	1.598	1.598	NUM
ejpam-5211	127	93	1.435	1.435	NUM
ejpam-5211	127	94	1.319	1.319	NUM
ejpam-5211	127	95	µ4	µ4	PROPN
ejpam-5211	127	96	n	n	CCONJ
ejpam-5211	127	97	:	:	PUNCT
ejpam-5211	127	98	n	n	PROPN
ejpam-5211	127	99	2.5	2.5	NUM
ejpam-5211	127	100	13.917	13.917	NUM
ejpam-5211	127	101	7.993	7.993	NUM
ejpam-5211	127	102	5.779	5.779	NUM
ejpam-5211	127	103	4.591	4.591	NUM
ejpam-5211	127	104	3.84	3.84	NUM
ejpam-5211	127	105	3.0	3.0	NUM
ejpam-5211	127	106	6.751	6.751	NUM
ejpam-5211	127	107	4.253	4.253	NUM
ejpam-5211	127	108	3.245	3.245	NUM
ejpam-5211	127	109	2.679	2.679	NUM
ejpam-5211	127	110	2.309	2.309	NUM
ejpam-5211	127	111	3.5	3.5	NUM
ejpam-5211	127	112	4.565	4.565	NUM
ejpam-5211	127	113	3.072	3.072	NUM
ejpam-5211	127	114	2.437	2.437	NUM
ejpam-5211	127	115	2.068	2.068	NUM
ejpam-5211	127	116	1.820	1.820	NUM
ejpam-5211	127	117	4.0	4.0	NUM
ejpam-5211	127	118	3.545	3.545	NUM
ejpam-5211	127	119	2.507	2.507	NUM
ejpam-5211	127	120	2.047	2.047	NUM
ejpam-5211	127	121	1.772	1.772	NUM
ejpam-5211	127	122	1.585	1.585	NUM
ejpam-5211	127	123	table	table	NOUN
ejpam-5211	127	124	3	3	NUM
ejpam-5211	127	125	shows	show	VERB
ejpam-5211	127	126	that	that	SCONJ
ejpam-5211	127	127	for	for	ADP
ejpam-5211	127	128	fixed	fix	VERB
ejpam-5211	127	129	value	value	NOUN
ejpam-5211	127	130	of	of	ADP
ejpam-5211	127	131	θ	θ	PROPN
ejpam-5211	127	132	moments	moment	NOUN
ejpam-5211	127	133	are	be	AUX
ejpam-5211	127	134	decreasing	decrease	VERB
ejpam-5211	127	135	when	when	SCONJ
ejpam-5211	127	136	α	α	PROPN
ejpam-5211	127	137	is	be	AUX
ejpam-5211	127	138	increasing	increase	VERB
ejpam-5211	127	139	.	.	PUNCT
ejpam-5211	128	1	m.	m.	NOUN
ejpam-5211	128	2	i.	i.	PROPN
ejpam-5211	128	3	khan	khan	PROPN
ejpam-5211	128	4	/	/	SYM
ejpam-5211	128	5	eur	eur	PROPN
ejpam-5211	128	6	.	.	PUNCT
ejpam-5211	129	1	j.	j.	PROPN
ejpam-5211	129	2	pure	pure	PROPN
ejpam-5211	129	3	appl	appl	PROPN
ejpam-5211	129	4	.	.	PROPN
ejpam-5211	129	5	math	math	PROPN
ejpam-5211	129	6	,	,	PUNCT
ejpam-5211	129	7	17	17	NUM
ejpam-5211	129	8	(	(	PUNCT
ejpam-5211	129	9	3	3	NUM
ejpam-5211	129	10	)	)	PUNCT
ejpam-5211	129	11	(	(	PUNCT
ejpam-5211	129	12	2024	2024	NUM
ejpam-5211	129	13	)	)	PUNCT
ejpam-5211	129	14	,	,	PUNCT
ejpam-5211	129	15	2182	2182	NUM
ejpam-5211	129	16	-	-	SYM
ejpam-5211	129	17	2195	2195	NUM
ejpam-5211	129	18	2188	2188	NUM
ejpam-5211	129	19	table	table	NOUN
ejpam-5211	129	20	4	4	NUM
ejpam-5211	129	21	:	:	PUNCT
ejpam-5211	129	22	values	value	NOUN
ejpam-5211	129	23	of	of	ADP
ejpam-5211	129	24	mean	mean	ADJ
ejpam-5211	129	25	,	,	PUNCT
ejpam-5211	129	26	variance	variance	NOUN
ejpam-5211	129	27	,	,	PUNCT
ejpam-5211	129	28	c.v	c.v	PROPN
ejpam-5211	129	29	,	,	PUNCT
ejpam-5211	129	30	skewness	skewness	NOUN
ejpam-5211	129	31	,	,	PUNCT
ejpam-5211	129	32	and	and	CCONJ
ejpam-5211	129	33	kurtosis	kurtosis	VERB
ejpam-5211	129	34	for	for	ADP
ejpam-5211	129	35	the	the	DET
ejpam-5211	129	36	largest	large	ADJ
ejpam-5211	129	37	o.	o.	NOUN
ejpam-5211	129	38	s.	s.	PROPN
ejpam-5211	129	39	when	when	SCONJ
ejpam-5211	129	40	n	n	X
ejpam-5211	129	41	=	=	SYM
ejpam-5211	129	42	4	4	NUM
ejpam-5211	129	43	mean	mean	NOUN
ejpam-5211	129	44	=	=	SYM
ejpam-5211	129	45	µ	µ	X
ejpam-5211	129	46	(	(	PUNCT
ejpam-5211	129	47	1	1	NUM
ejpam-5211	129	48	)	)	PUNCT
ejpam-5211	129	49	n	n	CCONJ
ejpam-5211	129	50	:	:	PUNCT
ejpam-5211	129	51	n	n	NOUN
ejpam-5211	129	52	α	α	NOUN
ejpam-5211	129	53	θ	θ	NOUN
ejpam-5211	129	54	=	=	SYM
ejpam-5211	129	55	1	1	NUM
ejpam-5211	129	56	θ	θ	NOUN
ejpam-5211	129	57	=	=	SYM
ejpam-5211	129	58	2	2	NUM
ejpam-5211	129	59	θ	θ	NOUN
ejpam-5211	129	60	=	=	SYM
ejpam-5211	129	61	3	3	NUM
ejpam-5211	129	62	θ	θ	NOUN
ejpam-5211	129	63	=	=	SYM
ejpam-5211	129	64	4	4	NUM
ejpam-5211	129	65	θ	θ	NOUN
ejpam-5211	129	66	=	=	SYM
ejpam-5211	129	67	5	5	NUM
ejpam-5211	129	68	2.5	2.5	NUM
ejpam-5211	129	69	1.536	1.536	NUM
ejpam-5211	129	70	1.337	1.337	NUM
ejpam-5211	129	71	1.233	1.233	NUM
ejpam-5211	129	72	1.164	1.164	NUM
ejpam-5211	129	73	1.113	1.113	NUM
ejpam-5211	129	74	3.0	3.0	NUM
ejpam-5211	129	75	1.422	1.422	NUM
ejpam-5211	129	76	1.267	1.267	NUM
ejpam-5211	129	77	1.184	1.184	NUM
ejpam-5211	129	78	1.129	1.129	NUM
ejpam-5211	129	79	1.088	1.088	NUM
ejpam-5211	129	80	3.5	3.5	NUM
ejpam-5211	129	81	1.348	1.348	NUM
ejpam-5211	129	82	1.221	1.221	NUM
ejpam-5211	129	83	1.152	1.152	NUM
ejpam-5211	129	84	1.106	1.106	NUM
ejpam-5211	129	85	1.071	1.071	NUM
ejpam-5211	129	86	4.0	4.0	NUM
ejpam-5211	129	87	1.296	1.296	NUM
ejpam-5211	129	88	1.188	1.188	NUM
ejpam-5211	129	89	1.13	1.13	NUM
ejpam-5211	129	90	1.09	1.09	NUM
ejpam-5211	129	91	1.06	1.06	NUM
ejpam-5211	129	92	variance	variance	NOUN
ejpam-5211	129	93	α	α	NOUN
ejpam-5211	129	94	θ	θ	NOUN
ejpam-5211	129	95	=	=	SYM
ejpam-5211	129	96	1	1	NUM
ejpam-5211	129	97	θ	θ	NOUN
ejpam-5211	129	98	=	=	SYM
ejpam-5211	129	99	2	2	NUM
ejpam-5211	129	100	θ	θ	NOUN
ejpam-5211	129	101	=	=	SYM
ejpam-5211	129	102	3	3	NUM
ejpam-5211	129	103	θ	θ	NOUN
ejpam-5211	129	104	=	=	SYM
ejpam-5211	129	105	4	4	NUM
ejpam-5211	129	106	θ	θ	NOUN
ejpam-5211	129	107	=	=	SYM
ejpam-5211	129	108	5	5	NUM
ejpam-5211	129	109	2.5	2.5	NUM
ejpam-5211	129	110	0.2329	0.2329	NUM
ejpam-5211	129	111	0.1765	0.1765	NUM
ejpam-5211	129	112	0.1501	0.1501	NUM
ejpam-5211	129	113	0.1338	0.1338	NUM
ejpam-5211	129	114	0.1223	0.1223	NUM
ejpam-5211	129	115	3.0	3.0	NUM
ejpam-5211	129	116	0.1269	0.1269	NUM
ejpam-5211	129	117	0.1007	0.1007	NUM
ejpam-5211	129	118	0.088	0.088	NUM
ejpam-5211	129	119	0.08	0.08	NUM
ejpam-5211	129	120	0.0742	0.0742	NUM
ejpam-5211	129	121	3.5	3.5	NUM
ejpam-5211	129	122	0.0792	0.0792	NUM
ejpam-5211	129	123	0.0649	0.0649	NUM
ejpam-5211	129	124	0.0578	0.0578	NUM
ejpam-5211	129	125	0.0533	0.0533	NUM
ejpam-5211	129	126	0.05	0.05	NUM
ejpam-5211	129	127	4.0	4.0	NUM
ejpam-5211	129	128	0.0538	0.0538	NUM
ejpam-5211	129	129	0.0453	0.0453	NUM
ejpam-5211	129	130	0.0409	0.0409	NUM
ejpam-5211	130	1	0.0381	0.0381	NUM
ejpam-5211	130	2	0.036	0.036	NUM
ejpam-5211	130	3	c.v	c.v	PROPN
ejpam-5211	130	4	.	.	PROPN
ejpam-5211	130	5	α	α	NOUN
ejpam-5211	130	6	θ	θ	NOUN
ejpam-5211	130	7	=	=	SYM
ejpam-5211	130	8	1	1	NUM
ejpam-5211	130	9	θ	θ	NOUN
ejpam-5211	130	10	=	=	SYM
ejpam-5211	130	11	2	2	NUM
ejpam-5211	130	12	θ	θ	NOUN
ejpam-5211	130	13	=	=	SYM
ejpam-5211	130	14	3	3	NUM
ejpam-5211	130	15	θ	θ	NOUN
ejpam-5211	130	16	=	=	SYM
ejpam-5211	130	17	4	4	NUM
ejpam-5211	130	18	θ	θ	NOUN
ejpam-5211	130	19	=	=	SYM
ejpam-5211	130	20	5	5	NUM
ejpam-5211	130	21	2.5	2.5	NUM
ejpam-5211	130	22	31.414	31.414	NUM
ejpam-5211	130	23	31.414	31.414	NUM
ejpam-5211	130	24	31.414	31.414	NUM
ejpam-5211	130	25	31.414	31.414	NUM
ejpam-5211	130	26	31.414	31.414	NUM
ejpam-5211	130	27	3.0	3.0	NUM
ejpam-5211	130	28	25.051	25.051	NUM
ejpam-5211	130	29	25.051	25.051	NUM
ejpam-5211	130	30	25.051	25.051	NUM
ejpam-5211	130	31	25.051	25.051	NUM
ejpam-5211	130	32	25.051	25.051	NUM
ejpam-5211	130	33	3.5	3.5	NUM
ejpam-5211	130	34	20.873	20.873	NUM
ejpam-5211	130	35	20.873	20.873	NUM
ejpam-5211	130	36	20.873	20.873	NUM
ejpam-5211	130	37	20.873	20.873	NUM
ejpam-5211	130	38	20.873	20.873	NUM
ejpam-5211	130	39	4.0	4.0	NUM
ejpam-5211	130	40	17.907	17.907	NUM
ejpam-5211	130	41	17.907	17.907	NUM
ejpam-5211	130	42	17.907	17.907	NUM
ejpam-5211	130	43	17.907	17.907	NUM
ejpam-5211	130	44	17.907	17.907	NUM
ejpam-5211	130	45	skewness	skewness	NOUN
ejpam-5211	130	46	α	α	NOUN
ejpam-5211	130	47	θ	θ	NOUN
ejpam-5211	130	48	=	=	SYM
ejpam-5211	130	49	1	1	NUM
ejpam-5211	130	50	θ	θ	NOUN
ejpam-5211	130	51	=	=	SYM
ejpam-5211	130	52	2	2	NUM
ejpam-5211	130	53	θ	θ	NOUN
ejpam-5211	130	54	=	=	SYM
ejpam-5211	130	55	3	3	NUM
ejpam-5211	130	56	θ	θ	NOUN
ejpam-5211	130	57	=	=	SYM
ejpam-5211	130	58	4	4	NUM
ejpam-5211	130	59	θ	θ	NOUN
ejpam-5211	130	60	=	=	SYM
ejpam-5211	130	61	5	5	NUM
ejpam-5211	130	62	2.5	2.5	NUM
ejpam-5211	130	63	3.535	3.535	NUM
ejpam-5211	130	64	3.535	3.535	NUM
ejpam-5211	130	65	3.535	3.535	NUM
ejpam-5211	130	66	3.535	3.535	NUM
ejpam-5211	130	67	3.535	3.535	NUM
ejpam-5211	130	68	3.0	3.0	NUM
ejpam-5211	130	69	2.806	2.806	NUM
ejpam-5211	130	70	2.806	2.806	NUM
ejpam-5211	130	71	2.806	2.806	NUM
ejpam-5211	130	72	2.806	2.806	NUM
ejpam-5211	130	73	2.806	2.806	NUM
ejpam-5211	130	74	3.5	3.5	NUM
ejpam-5211	130	75	2.425	2.425	NUM
ejpam-5211	130	76	2.425	2.425	NUM
ejpam-5211	130	77	2.425	2.425	NUM
ejpam-5211	130	78	2.425	2.425	NUM
ejpam-5211	130	79	2.425	2.425	NUM
ejpam-5211	130	80	4.0	4.0	NUM
ejpam-5211	130	81	2.189	2.189	NUM
ejpam-5211	130	82	2.189	2.189	NUM
ejpam-5211	130	83	2.189	2.189	NUM
ejpam-5211	130	84	2.189	2.189	NUM
ejpam-5211	130	85	2.189	2.189	NUM
ejpam-5211	130	86	kurtosis	kurtosis	NOUN
ejpam-5211	130	87	α	α	NOUN
ejpam-5211	130	88	θ	θ	NOUN
ejpam-5211	130	89	=	=	SYM
ejpam-5211	130	90	1	1	NUM
ejpam-5211	130	91	θ	θ	NOUN
ejpam-5211	130	92	=	=	SYM
ejpam-5211	130	93	2	2	NUM
ejpam-5211	130	94	θ	θ	NOUN
ejpam-5211	130	95	=	=	SYM
ejpam-5211	130	96	3	3	NUM
ejpam-5211	130	97	θ	θ	NOUN
ejpam-5211	130	98	=	=	SYM
ejpam-5211	130	99	4	4	NUM
ejpam-5211	130	100	θ	θ	NOUN
ejpam-5211	130	101	=	=	SYM
ejpam-5211	131	1	5	5	NUM
ejpam-5211	131	2	2.5	2.5	NUM
ejpam-5211	131	3	48.092	48.092	NUM
ejpam-5211	131	4	48.092	48.092	NUM
ejpam-5211	131	5	48.092	48.092	NUM
ejpam-5211	131	6	48.092	48.092	NUM
ejpam-5211	131	7	48.092	48.092	NUM
ejpam-5211	131	8	3.0	3.0	NUM
ejpam-5211	131	9	24.678	24.678	NUM
ejpam-5211	131	10	24.678	24.678	NUM
ejpam-5211	131	11	24.678	24.678	NUM
ejpam-5211	131	12	24.678	24.678	NUM
ejpam-5211	131	13	24.678	24.678	NUM
ejpam-5211	131	14	3.5	3.5	NUM
ejpam-5211	131	15	17.534	17.534	NUM
ejpam-5211	131	16	17.534	17.534	NUM
ejpam-5211	131	17	17.534	17.534	NUM
ejpam-5211	131	18	17.534	17.534	NUM
ejpam-5211	131	19	17.534	17.534	NUM
ejpam-5211	131	20	4.0	4.0	NUM
ejpam-5211	131	21	14.166	14.166	NUM
ejpam-5211	131	22	14.166	14.166	NUM
ejpam-5211	131	23	14.166	14.166	NUM
ejpam-5211	131	24	14.166	14.166	NUM
ejpam-5211	131	25	14.166	14.166	NUM
ejpam-5211	131	26	the	the	DET
ejpam-5211	131	27	behavior	behavior	NOUN
ejpam-5211	131	28	of	of	ADP
ejpam-5211	131	29	table	table	NOUN
ejpam-5211	131	30	4	4	NUM
ejpam-5211	131	31	is	be	AUX
ejpam-5211	131	32	that	that	SCONJ
ejpam-5211	131	33	descriptive	descriptive	ADJ
ejpam-5211	131	34	measures	measure	NOUN
ejpam-5211	131	35	are	be	AUX
ejpam-5211	131	36	decreasing	decrease	VERB
ejpam-5211	131	37	when	when	SCONJ
ejpam-5211	131	38	α	α	PROPN
ejpam-5211	131	39	is	be	AUX
ejpam-5211	131	40	increasing	increase	VERB
ejpam-5211	131	41	at	at	ADP
ejpam-5211	131	42	the	the	DET
ejpam-5211	131	43	fixed	fix	VERB
ejpam-5211	131	44	value	value	NOUN
ejpam-5211	131	45	of	of	ADP
ejpam-5211	131	46	θ	θ	PROPN
ejpam-5211	131	47	.	.	PROPN
ejpam-5211	131	48	2.2	2.2	NUM
ejpam-5211	131	49	.	.	PUNCT
ejpam-5211	132	1	the	the	DET
ejpam-5211	132	2	joint	joint	ADJ
ejpam-5211	132	3	pdf	pdf	NOUN
ejpam-5211	132	4	of	of	ADP
ejpam-5211	132	5	kth	kth	PROPN
ejpam-5211	132	6	and	and	CCONJ
ejpam-5211	132	7	lth	lth	PROPN
ejpam-5211	132	8	o.s	o.s	PROPN
ejpam-5211	132	9	.	.	PUNCT
ejpam-5211	133	1	the	the	DET
ejpam-5211	133	2	joint	joint	ADJ
ejpam-5211	133	3	pdf	pdf	NOUN
ejpam-5211	133	4	of	of	ADP
ejpam-5211	133	5	xk	xk	PROPN
ejpam-5211	133	6	:	:	PUNCT
ejpam-5211	133	7	n	n	PROPN
ejpam-5211	133	8	and	and	CCONJ
ejpam-5211	133	9	xl	xl	PROPN
ejpam-5211	133	10	:	:	PUNCT
ejpam-5211	133	11	n	n	PRON
ejpam-5211	133	12	is	be	AUX
ejpam-5211	133	13	given	give	VERB
ejpam-5211	133	14	by	by	ADP
ejpam-5211	133	15	(	(	PUNCT
ejpam-5211	133	16	arnold	arnold	PROPN
ejpam-5211	133	17	et	et	PROPN
ejpam-5211	133	18	al	al	PROPN
ejpam-5211	133	19	.	.	PUNCT
ejpam-5211	134	1	[	[	X
ejpam-5211	134	2	4	4	NUM
ejpam-5211	134	3	]	]	PUNCT
ejpam-5211	134	4	)	)	PUNCT
ejpam-5211	134	5	for	for	ADP
ejpam-5211	134	6	1	1	NUM
ejpam-5211	134	7	≤	≤	NUM
ejpam-5211	134	8	k	k	NOUN
ejpam-5211	134	9	≤	≤	NUM
ejpam-5211	134	10	l	l	NOUN
ejpam-5211	134	11	≤	≤	PROPN
ejpam-5211	134	12	n.	n.	PROPN
ejpam-5211	134	13	fk	fk	PROPN
ejpam-5211	134	14	,	,	PUNCT
ejpam-5211	134	15	l(x	l(x	PROPN
ejpam-5211	134	16	,	,	PUNCT
ejpam-5211	134	17	y	y	NOUN
ejpam-5211	134	18	)	)	PUNCT
ejpam-5211	134	19	=	=	SYM
ejpam-5211	134	20	ck	ck	ADJ
ejpam-5211	134	21	,	,	PUNCT
ejpam-5211	134	22	l	l	NOUN
ejpam-5211	134	23	:	:	PUNCT
ejpam-5211	134	24	n[f	n[f	X
ejpam-5211	134	25	(	(	PUNCT
ejpam-5211	134	26	x)]k−1[f	x)]k−1[f	ADJ
ejpam-5211	134	27	(	(	PUNCT
ejpam-5211	134	28	y)−	y)−	PROPN
ejpam-5211	134	29	f	f	X
ejpam-5211	134	30	(	(	PUNCT
ejpam-5211	134	31	x)]l−k−1[1−	x)]l−k−1[1−	NOUN
ejpam-5211	134	32	f	f	PROPN
ejpam-5211	134	33	(	(	PUNCT
ejpam-5211	134	34	y)]n−lf(x)f(y),−∞	y)]n−lf(x)f(y),−∞	X
ejpam-5211	134	35	<	<	X
ejpam-5211	134	36	x	x	X
ejpam-5211	134	37	<	<	X
ejpam-5211	134	38	y	y	X
ejpam-5211	134	39	<	<	X
ejpam-5211	134	40	∞.	∞.	PROPN
ejpam-5211	134	41	(	(	PUNCT
ejpam-5211	134	42	13	13	NUM
ejpam-5211	134	43	)	)	PUNCT
ejpam-5211	134	44	m.	m.	NOUN
ejpam-5211	134	45	i.	i.	PROPN
ejpam-5211	134	46	khan	khan	PROPN
ejpam-5211	134	47	/	/	SYM
ejpam-5211	134	48	eur	eur	PROPN
ejpam-5211	134	49	.	.	PUNCT
ejpam-5211	135	1	j.	j.	PROPN
ejpam-5211	135	2	pure	pure	PROPN
ejpam-5211	135	3	appl	appl	PROPN
ejpam-5211	135	4	.	.	PROPN
ejpam-5211	135	5	math	math	PROPN
ejpam-5211	135	6	,	,	PUNCT
ejpam-5211	135	7	17	17	NUM
ejpam-5211	135	8	(	(	PUNCT
ejpam-5211	135	9	3	3	NUM
ejpam-5211	135	10	)	)	PUNCT
ejpam-5211	135	11	(	(	PUNCT
ejpam-5211	135	12	2024	2024	NUM
ejpam-5211	135	13	)	)	PUNCT
ejpam-5211	135	14	,	,	PUNCT
ejpam-5211	135	15	2182	2182	NUM
ejpam-5211	135	16	-	-	SYM
ejpam-5211	135	17	2195	2195	NUM
ejpam-5211	135	18	2189	2189	NUM
ejpam-5211	135	19	equation	equation	NOUN
ejpam-5211	135	20	(	(	PUNCT
ejpam-5211	135	21	13	13	NUM
ejpam-5211	135	22	)	)	PUNCT
ejpam-5211	135	23	can	can	AUX
ejpam-5211	135	24	be	be	AUX
ejpam-5211	135	25	re	re	VERB
ejpam-5211	135	26	-	-	VERB
ejpam-5211	135	27	written	write	VERB
ejpam-5211	135	28	using	use	VERB
ejpam-5211	135	29	binomial	binomial	ADJ
ejpam-5211	135	30	expansion	expansion	NOUN
ejpam-5211	135	31	.	.	PUNCT
ejpam-5211	136	1	fk	fk	INTJ
ejpam-5211	136	2	,	,	PUNCT
ejpam-5211	136	3	l(x	l(x	PROPN
ejpam-5211	136	4	,	,	PUNCT
ejpam-5211	136	5	y	y	NOUN
ejpam-5211	136	6	)	)	PUNCT
ejpam-5211	136	7	=	=	SYM
ejpam-5211	137	1	ck	ck	ADJ
ejpam-5211	137	2	,	,	PUNCT
ejpam-5211	137	3	l	l	NOUN
ejpam-5211	137	4	:	:	PUNCT
ejpam-5211	137	5	n	n	CCONJ
ejpam-5211	137	6	n−l∑	n−l∑	X
ejpam-5211	137	7	t=0	t=0	X
ejpam-5211	137	8	l−k−1∑	l−k−1∑	PROPN
ejpam-5211	137	9	z=0	z=0	PROPN
ejpam-5211	137	10	(	(	PUNCT
ejpam-5211	137	11	n−	n−	PROPN
ejpam-5211	137	12	s	s	NOUN
ejpam-5211	137	13	t	t	NOUN
ejpam-5211	137	14	)	)	PUNCT
ejpam-5211	137	15	(	(	PUNCT
ejpam-5211	137	16	l	l	NOUN
ejpam-5211	137	17	−	−	PROPN
ejpam-5211	137	18	k	k	NOUN
ejpam-5211	137	19	−	−	PROPN
ejpam-5211	137	20	1	1	NUM
ejpam-5211	137	21	z	z	NOUN
ejpam-5211	137	22	)	)	PUNCT
ejpam-5211	138	1	(	(	PUNCT
ejpam-5211	138	2	−1)t+z[f	−1)t+z[f	INTJ
ejpam-5211	138	3	(	(	PUNCT
ejpam-5211	138	4	x)]k+z[f	x)]k+z[f	PROPN
ejpam-5211	138	5	(	(	PUNCT
ejpam-5211	138	6	y)]l−k+t−z	y)]l−k+t−z	PROPN
ejpam-5211	138	7	×	×	PROPN
ejpam-5211	138	8	f(x	f(x	PROPN
ejpam-5211	138	9	)	)	PUNCT
ejpam-5211	138	10	f	f	PROPN
ejpam-5211	138	11	(	(	PUNCT
ejpam-5211	138	12	x	x	NOUN
ejpam-5211	138	13	)	)	PUNCT
ejpam-5211	138	14	f(y	f(y	NOUN
ejpam-5211	138	15	)	)	PUNCT
ejpam-5211	138	16	f	f	PROPN
ejpam-5211	138	17	(	(	PUNCT
ejpam-5211	138	18	y	y	PROPN
ejpam-5211	138	19	)	)	PUNCT
ejpam-5211	138	20	.	.	PUNCT
ejpam-5211	139	1	therefore	therefore	ADV
ejpam-5211	139	2	,	,	PUNCT
ejpam-5211	139	3	the	the	DET
ejpam-5211	139	4	joint	joint	ADJ
ejpam-5211	139	5	pdf	pdf	NOUN
ejpam-5211	139	6	of	of	ADP
ejpam-5211	139	7	xk	xk	PROPN
ejpam-5211	139	8	,	,	PUNCT
ejpam-5211	139	9	l	l	NOUN
ejpam-5211	139	10	:	:	PUNCT
ejpam-5211	139	11	n	n	X
ejpam-5211	139	12	from	from	ADP
ejpam-5211	139	13	pir	pir	PROPN
ejpam-5211	139	14	distribution	distribution	NOUN
ejpam-5211	139	15	.	.	PUNCT
ejpam-5211	140	1	fk	fk	INTJ
ejpam-5211	140	2	,	,	PUNCT
ejpam-5211	140	3	l(x	l(x	PROPN
ejpam-5211	140	4	,	,	PUNCT
ejpam-5211	140	5	y	y	NOUN
ejpam-5211	140	6	)	)	PUNCT
ejpam-5211	140	7	=	=	SYM
ejpam-5211	141	1	4α2	4α2	NUM
ejpam-5211	141	2	θ2	θ2	ADV
ejpam-5211	141	3	ck	ck	PROPN
ejpam-5211	141	4	,	,	PUNCT
ejpam-5211	141	5	l	l	NOUN
ejpam-5211	141	6	:	:	PUNCT
ejpam-5211	141	7	n	n	CCONJ
ejpam-5211	141	8	n−l∑	n−l∑	X
ejpam-5211	141	9	t=0	t=0	X
ejpam-5211	141	10	l−k−1∑	l−k−1∑	PROPN
ejpam-5211	141	11	z=0	z=0	PROPN
ejpam-5211	142	1	(	(	PUNCT
ejpam-5211	142	2	n−	n−	NOUN
ejpam-5211	142	3	l	l	NOUN
ejpam-5211	142	4	t	t	NOUN
ejpam-5211	142	5	)	)	PUNCT
ejpam-5211	142	6	(	(	PUNCT
ejpam-5211	142	7	l	l	NOUN
ejpam-5211	142	8	−	−	PROPN
ejpam-5211	143	1	k	k	NOUN
ejpam-5211	143	2	−	−	PROPN
ejpam-5211	143	3	1	1	NUM
ejpam-5211	143	4	z	z	NOUN
ejpam-5211	143	5	)	)	PUNCT
ejpam-5211	143	6	(	(	PUNCT
ejpam-5211	143	7	−1)t+ze−	−1)t+ze−	NOUN
ejpam-5211	143	8	(	(	PUNCT
ejpam-5211	143	9	k+t	k+t	PROPN
ejpam-5211	143	10	θx2α	θx2α	PROPN
ejpam-5211	143	11	+	+	PROPN
ejpam-5211	143	12	l−k+t−z	l−k+t−z	PROPN
ejpam-5211	143	13	θy2α	θy2α	PROPN
ejpam-5211	143	14	)	)	PUNCT
ejpam-5211	143	15	×	×	NOUN
ejpam-5211	143	16	1	1	NUM
ejpam-5211	143	17	x2α+1	x2α+1	NOUN
ejpam-5211	143	18	.	.	PUNCT
ejpam-5211	144	1	1	1	NUM
ejpam-5211	144	2	y2α+1	y2α+1	NOUN
ejpam-5211	144	3	.	.	PUNCT
ejpam-5211	145	1	2.3	2.3	NUM
ejpam-5211	145	2	.	.	PUNCT
ejpam-5211	146	1	cumulative	cumulative	ADJ
ejpam-5211	146	2	entropy	entropy	NOUN
ejpam-5211	146	3	there	there	PRON
ejpam-5211	146	4	are	be	VERB
ejpam-5211	146	5	several	several	ADJ
ejpam-5211	146	6	types	type	NOUN
ejpam-5211	146	7	of	of	ADP
ejpam-5211	146	8	entropies	entropy	NOUN
ejpam-5211	146	9	that	that	PRON
ejpam-5211	146	10	exist	exist	VERB
ejpam-5211	146	11	in	in	ADP
ejpam-5211	146	12	literature	literature	NOUN
ejpam-5211	146	13	.	.	PUNCT
ejpam-5211	147	1	each	each	DET
ejpam-5211	147	2	one	one	NOUN
ejpam-5211	147	3	is	be	AUX
ejpam-5211	147	4	employed	employ	VERB
ejpam-5211	147	5	for	for	ADP
ejpam-5211	147	6	a	a	DET
ejpam-5211	147	7	specific	specific	ADJ
ejpam-5211	147	8	situation	situation	NOUN
ejpam-5211	147	9	.	.	PUNCT
ejpam-5211	148	1	the	the	DET
ejpam-5211	148	2	cumulative	cumulative	ADJ
ejpam-5211	148	3	entropy	entropy	NOUN
ejpam-5211	148	4	(	(	PUNCT
ejpam-5211	148	5	c.e	c.e	PROPN
ejpam-5211	148	6	.	.	PROPN
ejpam-5211	148	7	)	)	PUNCT
ejpam-5211	148	8	is	be	AUX
ejpam-5211	148	9	the	the	DET
ejpam-5211	148	10	most	most	ADV
ejpam-5211	148	11	prominent	prominent	ADJ
ejpam-5211	148	12	version	version	NOUN
ejpam-5211	148	13	of	of	ADP
ejpam-5211	148	14	the	the	DET
ejpam-5211	148	15	entropy	entropy	NOUN
ejpam-5211	148	16	reported	report	VERB
ejpam-5211	148	17	by	by	ADP
ejpam-5211	148	18	crescenzo	crescenzo	PROPN
ejpam-5211	148	19	and	and	CCONJ
ejpam-5211	148	20	longobardi	longobardi	PROPN
ejpam-5211	148	21	[	[	X
ejpam-5211	148	22	9	9	NUM
ejpam-5211	148	23	]	]	PUNCT
ejpam-5211	148	24	in	in	ADP
ejpam-5211	148	25	(	(	PUNCT
ejpam-5211	148	26	14	14	NUM
ejpam-5211	148	27	)	)	PUNCT
ejpam-5211	148	28	.	.	PUNCT
ejpam-5211	149	1	ce(x	ce(x	NUM
ejpam-5211	149	2	)	)	PUNCT
ejpam-5211	150	1	=	=	PUNCT
ejpam-5211	151	1	−	−	PROPN
ejpam-5211	151	2	∫	∫	PROPN
ejpam-5211	151	3	∞	∞	NUM
ejpam-5211	151	4	0	0	NUM
ejpam-5211	152	1	f	f	PROPN
ejpam-5211	152	2	(	(	PUNCT
ejpam-5211	152	3	x)lnf	x)lnf	PROPN
ejpam-5211	152	4	(	(	PUNCT
ejpam-5211	152	5	x)dx	x)dx	PROPN
ejpam-5211	152	6	(	(	PUNCT
ejpam-5211	152	7	14	14	NUM
ejpam-5211	152	8	)	)	PUNCT
ejpam-5211	152	9	the	the	DET
ejpam-5211	152	10	c.e	c.e	PROPN
ejpam-5211	152	11	.	.	PROPN
ejpam-5211	153	1	for	for	ADP
ejpam-5211	153	2	(	(	PUNCT
ejpam-5211	153	3	1	1	X
ejpam-5211	153	4	)	)	PUNCT
ejpam-5211	153	5	is	be	AUX
ejpam-5211	153	6	.	.	PUNCT
ejpam-5211	153	7	ce(x	ce(x	NUM
ejpam-5211	153	8	)	)	PUNCT
ejpam-5211	154	1	=	=	SYM
ejpam-5211	154	2	1	1	NUM
ejpam-5211	154	3	2α	2α	NOUN
ejpam-5211	154	4	(	(	PUNCT
ejpam-5211	154	5	1	1	NUM
ejpam-5211	154	6	θ	θ	NOUN
ejpam-5211	154	7	)	)	PUNCT
ejpam-5211	154	8	1	1	NUM
ejpam-5211	154	9	2α	2α	PROPN
ejpam-5211	154	10	γ	γ	X
ejpam-5211	154	11	(	(	PUNCT
ejpam-5211	154	12	1−	1−	NUM
ejpam-5211	154	13	1	1	NUM
ejpam-5211	154	14	2α	2α	NOUN
ejpam-5211	154	15	)	)	PUNCT
ejpam-5211	154	16	table	table	NOUN
ejpam-5211	154	17	5	5	NUM
ejpam-5211	154	18	:	:	PUNCT
ejpam-5211	154	19	the	the	DET
ejpam-5211	154	20	nature	nature	NOUN
ejpam-5211	154	21	of	of	ADP
ejpam-5211	154	22	c.e	c.e	PROPN
ejpam-5211	154	23	.	.	PROPN
ejpam-5211	154	24	for	for	ADP
ejpam-5211	154	25	pir	pir	PROPN
ejpam-5211	154	26	distribution	distribution	NOUN
ejpam-5211	154	27	.	.	PUNCT
ejpam-5211	155	1	θ	θ	PROPN
ejpam-5211	155	2	α	α	NOUN
ejpam-5211	155	3	0.5	0.5	NUM
ejpam-5211	155	4	1.0	1.0	NUM
ejpam-5211	155	5	1.5	1.5	NUM
ejpam-5211	155	6	2.0	2.0	NUM
ejpam-5211	155	7	2.5	2.5	NUM
ejpam-5211	155	8	3.0	3.0	NUM
ejpam-5211	155	9	3.5	3.5	NUM
ejpam-5211	155	10	4.0	4.0	NUM
ejpam-5211	155	11	4.5	4.5	NUM
ejpam-5211	155	12	5.0	5.0	NUM
ejpam-5211	155	13	1.0	1.0	NUM
ejpam-5211	155	14	2.22	2.22	NUM
ejpam-5211	155	15	1.57	1.57	NUM
ejpam-5211	155	16	1.29	1.29	NUM
ejpam-5211	155	17	1.11	1.11	NUM
ejpam-5211	155	18	0.99	0.99	NUM
ejpam-5211	155	19	0.91	0.91	NUM
ejpam-5211	155	20	0.85	0.85	NUM
ejpam-5211	155	21	0.79	0.79	NUM
ejpam-5211	155	22	0.74	0.74	NUM
ejpam-5211	155	23	0.71	0.71	NUM
ejpam-5211	155	24	1.5	1.5	NUM
ejpam-5211	155	25	0.567	0.567	NUM
ejpam-5211	155	26	0.45	0.45	NUM
ejpam-5211	155	27	0.40	0.40	NUM
ejpam-5211	155	28	0.36	0.36	NUM
ejpam-5211	155	29	0.33	0.33	NUM
ejpam-5211	155	30	0.31	0.31	NUM
ejpam-5211	155	31	0.30	0.30	NUM
ejpam-5211	155	32	0.28	0.28	NUM
ejpam-5211	155	33	0.27	0.27	NUM
ejpam-5211	155	34	0.26	0.26	NUM
ejpam-5211	155	35	2.0	2.0	NUM
ejpam-5211	155	36	0.369	0.369	NUM
ejpam-5211	155	37	0.31	0.31	NUM
ejpam-5211	155	38	0.28	0.28	NUM
ejpam-5211	155	39	0.26	0.26	NUM
ejpam-5211	155	40	0.25	0.25	NUM
ejpam-5211	155	41	0.24	0.24	NUM
ejpam-5211	155	42	0.23	0.23	NUM
ejpam-5211	155	43	0.22	0.22	NUM
ejpam-5211	155	44	0.21	0.21	NUM
ejpam-5211	155	45	0.21	0.21	NUM
ejpam-5211	155	46	2.5	2.5	NUM
ejpam-5211	155	47	0.265	0.265	NUM
ejpam-5211	155	48	0.23	0.23	NUM
ejpam-5211	155	49	0.212	0.212	NUM
ejpam-5211	155	50	0.20	0.20	NUM
ejpam-5211	155	51	0.19	0.19	NUM
ejpam-5211	155	52	0.18	0.18	NUM
ejpam-5211	155	53	0.18	0.18	NUM
ejpam-5211	155	54	0.17	0.17	NUM
ejpam-5211	155	55	0.17	0.17	NUM
ejpam-5211	155	56	0.17	0.17	NUM
ejpam-5211	155	57	3.0	3.0	NUM
ejpam-5211	155	58	0.213	0.213	NUM
ejpam-5211	155	59	0.19	0.19	NUM
ejpam-5211	155	60	0.18	0.18	NUM
ejpam-5211	155	61	0.17	0.17	NUM
ejpam-5211	155	62	0.16	0.16	NUM
ejpam-5211	155	63	0.16	0.16	NUM
ejpam-5211	155	64	0.15	0.15	NUM
ejpam-5211	155	65	0.15	0.15	NUM
ejpam-5211	155	66	0.15	0.15	NUM
ejpam-5211	155	67	0.14	0.14	NUM
ejpam-5211	155	68	the	the	DET
ejpam-5211	155	69	value	value	NOUN
ejpam-5211	155	70	of	of	ADP
ejpam-5211	155	71	c.e	c.e	PROPN
ejpam-5211	155	72	.	.	PROPN
ejpam-5211	155	73	is	be	AUX
ejpam-5211	155	74	decreasing	decrease	VERB
ejpam-5211	155	75	when	when	SCONJ
ejpam-5211	155	76	α	α	PROPN
ejpam-5211	155	77	is	be	AUX
ejpam-5211	155	78	increasing	increase	VERB
ejpam-5211	155	79	for	for	ADP
ejpam-5211	155	80	the	the	DET
ejpam-5211	155	81	fixed	fix	VERB
ejpam-5211	155	82	value	value	NOUN
ejpam-5211	155	83	of	of	ADP
ejpam-5211	155	84	θ	θ	PROPN
ejpam-5211	155	85	.	.	PUNCT
ejpam-5211	155	86	m.	m.	PROPN
ejpam-5211	155	87	i.	i.	PROPN
ejpam-5211	155	88	khan	khan	PROPN
ejpam-5211	155	89	/	/	SYM
ejpam-5211	155	90	eur	eur	PROPN
ejpam-5211	155	91	.	.	PUNCT
ejpam-5211	156	1	j.	j.	PROPN
ejpam-5211	156	2	pure	pure	PROPN
ejpam-5211	156	3	appl	appl	PROPN
ejpam-5211	156	4	.	.	PROPN
ejpam-5211	156	5	math	math	PROPN
ejpam-5211	156	6	,	,	PUNCT
ejpam-5211	156	7	17	17	NUM
ejpam-5211	156	8	(	(	PUNCT
ejpam-5211	156	9	3	3	NUM
ejpam-5211	156	10	)	)	PUNCT
ejpam-5211	156	11	(	(	PUNCT
ejpam-5211	156	12	2024	2024	NUM
ejpam-5211	156	13	)	)	PUNCT
ejpam-5211	156	14	,	,	PUNCT
ejpam-5211	156	15	2182	2182	NUM
ejpam-5211	156	16	-	-	SYM
ejpam-5211	156	17	2195	2195	NUM
ejpam-5211	156	18	2190	2190	NUM
ejpam-5211	156	19	3	3	NUM
ejpam-5211	156	20	.	.	PUNCT
ejpam-5211	156	21	recurrence	recurrence	NOUN
ejpam-5211	156	22	relations	relation	NOUN
ejpam-5211	156	23	based	base	VERB
ejpam-5211	156	24	on	on	ADP
ejpam-5211	156	25	o.s	o.s	PROPN
ejpam-5211	156	26	.	.	PUNCT
ejpam-5211	157	1	the	the	DET
ejpam-5211	157	2	recurrence	recurrence	NOUN
ejpam-5211	157	3	relations	relation	NOUN
ejpam-5211	157	4	based	base	VERB
ejpam-5211	157	5	on	on	ADP
ejpam-5211	157	6	o.s	o.s	PROPN
ejpam-5211	157	7	.	.	PROPN
ejpam-5211	158	1	and	and	CCONJ
ejpam-5211	158	2	its	its	PRON
ejpam-5211	158	3	applications	application	NOUN
ejpam-5211	158	4	have	have	AUX
ejpam-5211	158	5	been	be	AUX
ejpam-5211	158	6	well	well	ADV
ejpam-5211	158	7	documented	document	VERB
ejpam-5211	158	8	via	via	ADP
ejpam-5211	158	9	balakrishnan	balakrishnan	PROPN
ejpam-5211	158	10	and	and	CCONJ
ejpam-5211	158	11	malik	malik	PROPN
ejpam-5211	159	1	[	[	X
ejpam-5211	159	2	7	7	NUM
ejpam-5211	159	3	]	]	PUNCT
ejpam-5211	159	4	,	,	PUNCT
ejpam-5211	159	5	balakrishnan	balakrishnan	PROPN
ejpam-5211	159	6	et	et	PROPN
ejpam-5211	159	7	al	al	PROPN
ejpam-5211	159	8	.	.	PUNCT
ejpam-5211	160	1	[	[	X
ejpam-5211	160	2	8	8	NUM
ejpam-5211	160	3	]	]	PUNCT
ejpam-5211	160	4	,	,	PUNCT
ejpam-5211	160	5	arnold	arnold	PROPN
ejpam-5211	160	6	and	and	CCONJ
ejpam-5211	160	7	balakrishnan	balakrishnan	PROPN
ejpam-5211	161	1	[	[	X
ejpam-5211	161	2	3	3	NUM
ejpam-5211	161	3	]	]	PUNCT
ejpam-5211	161	4	,	,	PUNCT
ejpam-5211	161	5	ali	ali	PROPN
ejpam-5211	161	6	and	and	CCONJ
ejpam-5211	161	7	khan	khan	PROPN
ejpam-5211	162	1	[	[	X
ejpam-5211	162	2	2	2	NUM
ejpam-5211	162	3	]	]	PUNCT
ejpam-5211	162	4	and	and	CCONJ
ejpam-5211	162	5	samual	samual	PROPN
ejpam-5211	162	6	and	and	CCONJ
ejpam-5211	162	7	thomas	thomas	PROPN
ejpam-5211	163	1	[	[	X
ejpam-5211	163	2	28	28	NUM
ejpam-5211	163	3	]	]	PUNCT
ejpam-5211	163	4	in	in	ADP
ejpam-5211	163	5	detail	detail	NOUN
ejpam-5211	163	6	.	.	PUNCT
ejpam-5211	164	1	to	to	PART
ejpam-5211	164	2	calculate	calculate	VERB
ejpam-5211	164	3	the	the	DET
ejpam-5211	164	4	moments	moment	NOUN
ejpam-5211	164	5	of	of	ADP
ejpam-5211	164	6	o.s	o.s	PROPN
ejpam-5211	164	7	.	.	PROPN
ejpam-5211	164	8	is	be	AUX
ejpam-5211	164	9	a	a	DET
ejpam-5211	164	10	tedious	tedious	ADJ
ejpam-5211	164	11	task	task	NOUN
ejpam-5211	164	12	for	for	ADP
ejpam-5211	164	13	some	some	DET
ejpam-5211	164	14	distribution	distribution	NOUN
ejpam-5211	164	15	.	.	PUNCT
ejpam-5211	165	1	for	for	ADP
ejpam-5211	165	2	this	this	DET
ejpam-5211	165	3	fact	fact	NOUN
ejpam-5211	165	4	,	,	PUNCT
ejpam-5211	165	5	recursive	recursive	ADJ
ejpam-5211	165	6	computation	computation	NOUN
ejpam-5211	165	7	approaches	approach	NOUN
ejpam-5211	165	8	are	be	AUX
ejpam-5211	165	9	repeatedly	repeatedly	ADV
ejpam-5211	165	10	desired	desire	VERB
ejpam-5211	165	11	.	.	PUNCT
ejpam-5211	166	1	theorem	theorem	NOUN
ejpam-5211	166	2	2	2	NUM
ejpam-5211	166	3	.	.	PUNCT
ejpam-5211	166	4	as	as	SCONJ
ejpam-5211	166	5	stated	state	VERB
ejpam-5211	166	6	in	in	ADP
ejpam-5211	166	7	theorem	theorem	NOUN
ejpam-5211	166	8	1	1	NUM
ejpam-5211	166	9	,	,	PUNCT
ejpam-5211	166	10	we	we	PRON
ejpam-5211	166	11	have	have	VERB
ejpam-5211	166	12	the	the	DET
ejpam-5211	166	13	following	follow	VERB
ejpam-5211	166	14	single	single	ADJ
ejpam-5211	166	15	moments	moment	NOUN
ejpam-5211	166	16	relation	relation	NOUN
ejpam-5211	166	17	:	:	PUNCT
ejpam-5211	166	18	µ	µ	X
ejpam-5211	166	19	(	(	PUNCT
ejpam-5211	166	20	i	i	NOUN
ejpam-5211	166	21	)	)	PUNCT
ejpam-5211	167	1	k	k	NOUN
ejpam-5211	167	2	:	:	PUNCT
ejpam-5211	167	3	n	n	SYM
ejpam-5211	167	4	=	=	SYM
ejpam-5211	167	5	(	(	PUNCT
ejpam-5211	167	6	n−	n−	NOUN
ejpam-5211	167	7	k	k	NOUN
ejpam-5211	168	1	+	+	CCONJ
ejpam-5211	168	2	1	1	X
ejpam-5211	168	3	)	)	PUNCT
ejpam-5211	168	4	θ(i−	θ(i−	NUM
ejpam-5211	168	5	2α	2α	NOUN
ejpam-5211	168	6	)	)	PUNCT
ejpam-5211	168	7	[	[	PUNCT
ejpam-5211	168	8	µ	µ	X
ejpam-5211	168	9	(	(	PUNCT
ejpam-5211	168	10	i−2α	i−2α	NOUN
ejpam-5211	168	11	)	)	PUNCT
ejpam-5211	168	12	k	k	NOUN
ejpam-5211	168	13	:	:	PUNCT
ejpam-5211	168	14	n	n	PROPN
ejpam-5211	168	15	−	−	PROPN
ejpam-5211	168	16	µ	µ	X
ejpam-5211	168	17	(	(	PUNCT
ejpam-5211	168	18	i−2α	i−2α	NOUN
ejpam-5211	168	19	)	)	PUNCT
ejpam-5211	168	20	k−1	k−1	PROPN
ejpam-5211	168	21	:	:	PUNCT
ejpam-5211	168	22	n	n	X
ejpam-5211	168	23	]	]	PUNCT
ejpam-5211	168	24	(	(	PUNCT
ejpam-5211	168	25	15	15	X
ejpam-5211	168	26	)	)	PUNCT
ejpam-5211	168	27	proof	proof	NOUN
ejpam-5211	168	28	:	:	PUNCT
ejpam-5211	168	29	we	we	PRON
ejpam-5211	168	30	know	know	VERB
ejpam-5211	169	1	that	that	SCONJ
ejpam-5211	169	2	µ	µ	X
ejpam-5211	169	3	(	(	PUNCT
ejpam-5211	169	4	i	i	NOUN
ejpam-5211	169	5	)	)	PUNCT
ejpam-5211	169	6	k	k	NOUN
ejpam-5211	170	1	:	:	PUNCT
ejpam-5211	171	1	n	n	SYM
ejpam-5211	171	2	=	=	SYM
ejpam-5211	171	3	∫	∫	PROPN
ejpam-5211	171	4	∞	∞	PROPN
ejpam-5211	171	5	−∞	−∞	ADP
ejpam-5211	171	6	xifk(x)dx	xifk(x)dx	PROPN
ejpam-5211	171	7	µ	µ	PROPN
ejpam-5211	171	8	(	(	PUNCT
ejpam-5211	171	9	i	i	NOUN
ejpam-5211	171	10	)	)	PUNCT
ejpam-5211	171	11	k	k	NOUN
ejpam-5211	171	12	:	:	PUNCT
ejpam-5211	171	13	n	n	PROPN
ejpam-5211	171	14	=	=	SYM
ejpam-5211	171	15	ck	ck	ADJ
ejpam-5211	171	16	:	:	PUNCT
ejpam-5211	171	17	n	n	NUM
ejpam-5211	171	18	∫	∫	PROPN
ejpam-5211	171	19	∞	∞	PROPN
ejpam-5211	172	1	0	0	NUM
ejpam-5211	172	2	xi[f	xi[f	PROPN
ejpam-5211	172	3	(	(	PUNCT
ejpam-5211	172	4	x)]k−1[1−	x)]k−1[1−	PROPN
ejpam-5211	172	5	f	f	PROPN
ejpam-5211	172	6	(	(	PUNCT
ejpam-5211	172	7	x)]n−kf(x)dx	x)]n−kf(x)dx	ADJ
ejpam-5211	172	8	.	.	PUNCT
ejpam-5211	173	1	(	(	PUNCT
ejpam-5211	173	2	16	16	NUM
ejpam-5211	173	3	)	)	PUNCT
ejpam-5211	173	4	using	use	VERB
ejpam-5211	173	5	(	(	PUNCT
ejpam-5211	173	6	5	5	NUM
ejpam-5211	173	7	)	)	PUNCT
ejpam-5211	173	8	in	in	ADP
ejpam-5211	173	9	(	(	PUNCT
ejpam-5211	173	10	16	16	NUM
ejpam-5211	173	11	)	)	PUNCT
ejpam-5211	173	12	,	,	PUNCT
ejpam-5211	173	13	we	we	PRON
ejpam-5211	173	14	have	have	VERB
ejpam-5211	173	15	µ	µ	X
ejpam-5211	173	16	(	(	PUNCT
ejpam-5211	173	17	i	i	NOUN
ejpam-5211	173	18	)	)	PUNCT
ejpam-5211	174	1	k	k	NOUN
ejpam-5211	174	2	:	:	PUNCT
ejpam-5211	174	3	n	n	PROPN
ejpam-5211	174	4	=	=	SYM
ejpam-5211	174	5	ck	ck	ADJ
ejpam-5211	174	6	:	:	PUNCT
ejpam-5211	174	7	n	n	ADP
ejpam-5211	174	8	1	1	NUM
ejpam-5211	174	9	θ	θ	NOUN
ejpam-5211	174	10	∫	∫	PROPN
ejpam-5211	174	11	∞	∞	NOUN
ejpam-5211	174	12	0	0	NUM
ejpam-5211	175	1	xi−2α[f	xi−2α[f	PROPN
ejpam-5211	175	2	(	(	PUNCT
ejpam-5211	175	3	x)]k−1[1−	x)]k−1[1−	PROPN
ejpam-5211	175	4	f	f	PROPN
ejpam-5211	175	5	(	(	PUNCT
ejpam-5211	175	6	x)]n−k+1dx	x)]n−k+1dx	PROPN
ejpam-5211	175	7	.	.	PUNCT
ejpam-5211	176	1	(	(	PUNCT
ejpam-5211	176	2	17	17	NUM
ejpam-5211	176	3	)	)	PUNCT
ejpam-5211	176	4	integrating	integrating	NOUN
ejpam-5211	176	5	(	(	PUNCT
ejpam-5211	176	6	17	17	NUM
ejpam-5211	176	7	)	)	PUNCT
ejpam-5211	176	8	by	by	ADP
ejpam-5211	176	9	parts	part	NOUN
ejpam-5211	176	10	and	and	CCONJ
ejpam-5211	176	11	simplifying	simplify	VERB
ejpam-5211	176	12	yields	yield	NOUN
ejpam-5211	176	13	(	(	PUNCT
ejpam-5211	176	14	15	15	NUM
ejpam-5211	176	15	)	)	PUNCT
ejpam-5211	176	16	.	.	PUNCT
ejpam-5211	177	1	theorem	theorem	NOUN
ejpam-5211	177	2	3	3	NUM
ejpam-5211	177	3	.	.	PUNCT
ejpam-5211	178	1	for	for	ADP
ejpam-5211	178	2	1	1	NUM
ejpam-5211	178	3	≤	≤	NUM
ejpam-5211	178	4	k	k	NOUN
ejpam-5211	178	5	≤	≤	NUM
ejpam-5211	178	6	l	l	NOUN
ejpam-5211	178	7	≤	≤	NOUN
ejpam-5211	178	8	n	n	CCONJ
ejpam-5211	178	9	,	,	PUNCT
ejpam-5211	178	10	n	n	CCONJ
ejpam-5211	178	11	∈	∈	NOUN
ejpam-5211	178	12	n	n	X
ejpam-5211	178	13	,	,	PUNCT
ejpam-5211	178	14	we	we	PRON
ejpam-5211	178	15	have	have	VERB
ejpam-5211	178	16	the	the	DET
ejpam-5211	178	17	following	follow	VERB
ejpam-5211	178	18	product	product	NOUN
ejpam-5211	178	19	moment	moment	NOUN
ejpam-5211	178	20	relations	relation	NOUN
ejpam-5211	178	21	.	.	PUNCT
ejpam-5211	179	1	µ	µ	X
ejpam-5211	179	2	(	(	PUNCT
ejpam-5211	179	3	i1,i2	i1,i2	PROPN
ejpam-5211	179	4	)	)	PUNCT
ejpam-5211	179	5	k	k	NOUN
ejpam-5211	179	6	,	,	PUNCT
ejpam-5211	179	7	l	l	NOUN
ejpam-5211	179	8	:	:	PUNCT
ejpam-5211	179	9	n	n	NOUN
ejpam-5211	179	10	=	=	SYM
ejpam-5211	179	11	(	(	PUNCT
ejpam-5211	179	12	n−	n−	NOUN
ejpam-5211	179	13	l	l	NOUN
ejpam-5211	179	14	+	+	CCONJ
ejpam-5211	179	15	1	1	X
ejpam-5211	179	16	)	)	PUNCT
ejpam-5211	179	17	θ(i2	θ(i2	NOUN
ejpam-5211	179	18	−	−	PROPN
ejpam-5211	179	19	2α	2α	NOUN
ejpam-5211	179	20	)	)	PUNCT
ejpam-5211	179	21	[	[	PUNCT
ejpam-5211	179	22	µ	µ	X
ejpam-5211	179	23	(	(	PUNCT
ejpam-5211	179	24	i1,i2−2α	i1,i2−2α	NOUN
ejpam-5211	179	25	)	)	PUNCT
ejpam-5211	179	26	k	k	NOUN
ejpam-5211	179	27	,	,	PUNCT
ejpam-5211	179	28	l	l	NOUN
ejpam-5211	179	29	:	:	PUNCT
ejpam-5211	179	30	n	n	PROPN
ejpam-5211	179	31	−	−	PROPN
ejpam-5211	179	32	µ	µ	X
ejpam-5211	179	33	(	(	PUNCT
ejpam-5211	179	34	i1,i2−2α	i1,i2−2α	NOUN
ejpam-5211	179	35	)	)	PUNCT
ejpam-5211	179	36	k	k	NOUN
ejpam-5211	179	37	,	,	PUNCT
ejpam-5211	179	38	l−1	l−1	PROPN
ejpam-5211	179	39	:	:	PUNCT
ejpam-5211	179	40	n	n	X
ejpam-5211	179	41	]	]	PUNCT
ejpam-5211	179	42	(	(	PUNCT
ejpam-5211	179	43	18	18	NUM
ejpam-5211	179	44	)	)	PUNCT
ejpam-5211	179	45	proof	proof	NOUN
ejpam-5211	179	46	:	:	PUNCT
ejpam-5211	179	47	we	we	PRON
ejpam-5211	179	48	start	start	VERB
ejpam-5211	179	49	from	from	ADP
ejpam-5211	179	50	(	(	PUNCT
ejpam-5211	179	51	13	13	NUM
ejpam-5211	179	52	)	)	PUNCT
ejpam-5211	179	53	,	,	PUNCT
ejpam-5211	179	54	µ	µ	X
ejpam-5211	179	55	(	(	PUNCT
ejpam-5211	179	56	i1,i2	i1,i2	PROPN
ejpam-5211	179	57	)	)	PUNCT
ejpam-5211	179	58	k	k	NOUN
ejpam-5211	179	59	,	,	PUNCT
ejpam-5211	179	60	l	l	NOUN
ejpam-5211	179	61	:	:	PUNCT
ejpam-5211	179	62	n	n	PROPN
ejpam-5211	179	63	=	=	SYM
ejpam-5211	179	64	ck	ck	PROPN
ejpam-5211	179	65	,	,	PUNCT
ejpam-5211	179	66	l	l	NOUN
ejpam-5211	179	67	:	:	PUNCT
ejpam-5211	179	68	n	n	NUM
ejpam-5211	179	69	∫	∫	PROPN
ejpam-5211	179	70	∞	∞	PROPN
ejpam-5211	179	71	0	0	NUM
ejpam-5211	179	72	∫	∫	PROPN
ejpam-5211	180	1	∞	∞	PROPN
ejpam-5211	180	2	x	x	SYM
ejpam-5211	180	3	xi1yi2fk	xi1yi2fk	PROPN
ejpam-5211	180	4	,	,	PUNCT
ejpam-5211	180	5	l(x	l(x	PROPN
ejpam-5211	180	6	,	,	PUNCT
ejpam-5211	180	7	y)dydx	y)dydx	PROPN
ejpam-5211	180	8	(	(	PUNCT
ejpam-5211	180	9	19	19	NUM
ejpam-5211	180	10	)	)	PUNCT
ejpam-5211	180	11	or	or	CCONJ
ejpam-5211	180	12	,	,	PUNCT
ejpam-5211	180	13	µ	µ	X
ejpam-5211	180	14	(	(	PUNCT
ejpam-5211	180	15	i1,i2	i1,i2	PROPN
ejpam-5211	180	16	)	)	PUNCT
ejpam-5211	180	17	k	k	NOUN
ejpam-5211	180	18	,	,	PUNCT
ejpam-5211	180	19	l	l	NOUN
ejpam-5211	180	20	:	:	PUNCT
ejpam-5211	180	21	n	n	PROPN
ejpam-5211	180	22	=	=	SYM
ejpam-5211	180	23	ck	ck	PROPN
ejpam-5211	180	24	,	,	PUNCT
ejpam-5211	180	25	l	l	NOUN
ejpam-5211	180	26	:	:	PUNCT
ejpam-5211	180	27	n	n	NUM
ejpam-5211	180	28	∫	∫	PROPN
ejpam-5211	180	29	∞	∞	PROPN
ejpam-5211	180	30	0	0	PUNCT
ejpam-5211	180	31	xi1	xi1	PROPN
ejpam-5211	181	1	[	[	X
ejpam-5211	181	2	f	f	X
ejpam-5211	181	3	(	(	PUNCT
ejpam-5211	181	4	x)]k−1f(x)wxdx	x)]k−1f(x)wxdx	X
ejpam-5211	181	5	(	(	PUNCT
ejpam-5211	181	6	20	20	NUM
ejpam-5211	181	7	)	)	PUNCT
ejpam-5211	181	8	where	where	SCONJ
ejpam-5211	181	9	wx	wx	PROPN
ejpam-5211	181	10	=	=	SYM
ejpam-5211	181	11	∫	∫	PROPN
ejpam-5211	182	1	∞	∞	NUM
ejpam-5211	182	2	x	x	X
ejpam-5211	182	3	yi2	yi2	NOUN
ejpam-5211	183	1	[	[	X
ejpam-5211	183	2	f	f	X
ejpam-5211	183	3	(	(	PUNCT
ejpam-5211	183	4	y)−	y)−	PROPN
ejpam-5211	183	5	f	f	X
ejpam-5211	183	6	(	(	PUNCT
ejpam-5211	183	7	x)]l−k−1[1−	x)]l−k−1[1−	NOUN
ejpam-5211	183	8	f	f	PROPN
ejpam-5211	183	9	(	(	PUNCT
ejpam-5211	183	10	y)]n−lf(y)dy	y)]n−lf(y)dy	NOUN
ejpam-5211	183	11	or	or	CCONJ
ejpam-5211	183	12	,	,	PUNCT
ejpam-5211	183	13	wx	wx	PROPN
ejpam-5211	183	14	=	=	SYM
ejpam-5211	183	15	1	1	NUM
ejpam-5211	183	16	θ	θ	NOUN
ejpam-5211	183	17	∫	∫	PROPN
ejpam-5211	184	1	∞	∞	NUM
ejpam-5211	184	2	x	x	X
ejpam-5211	184	3	yi2−2α[f	yi2−2α[f	NOUN
ejpam-5211	184	4	(	(	PUNCT
ejpam-5211	184	5	y)−	y)−	PROPN
ejpam-5211	184	6	f	f	X
ejpam-5211	184	7	(	(	PUNCT
ejpam-5211	184	8	x)]l−k−1[1−	x)]l−k−1[1−	NOUN
ejpam-5211	184	9	f	f	PROPN
ejpam-5211	184	10	(	(	PUNCT
ejpam-5211	184	11	y)]n−l+1dy	y)]n−l+1dy	NOUN
ejpam-5211	184	12	.	.	PUNCT
ejpam-5211	185	1	now	now	ADV
ejpam-5211	185	2	integrating	integrate	VERB
ejpam-5211	185	3	the	the	DET
ejpam-5211	185	4	above	above	ADJ
ejpam-5211	185	5	equation	equation	NOUN
ejpam-5211	185	6	by	by	ADP
ejpam-5211	185	7	parts	part	NOUN
ejpam-5211	185	8	,	,	PUNCT
ejpam-5211	185	9	we	we	PRON
ejpam-5211	185	10	get	get	VERB
ejpam-5211	185	11	,	,	PUNCT
ejpam-5211	185	12	wx	wx	X
ejpam-5211	185	13	=	=	SYM
ejpam-5211	185	14	1	1	NUM
ejpam-5211	185	15	θ	θ	NOUN
ejpam-5211	185	16	{	{	PUNCT
ejpam-5211	185	17	(	(	PUNCT
ejpam-5211	185	18	n−	n−	NOUN
ejpam-5211	185	19	l	l	NOUN
ejpam-5211	186	1	+	+	NOUN
ejpam-5211	186	2	1	1	X
ejpam-5211	186	3	)	)	PUNCT
ejpam-5211	186	4	(	(	PUNCT
ejpam-5211	186	5	i2	i2	PROPN
ejpam-5211	186	6	−	−	PROPN
ejpam-5211	186	7	2α	2α	PROPN
ejpam-5211	186	8	)	)	PUNCT
ejpam-5211	187	1	∫	∫	PROPN
ejpam-5211	188	1	∞	∞	NUM
ejpam-5211	188	2	x	x	X
ejpam-5211	188	3	yi2−2α[f	yi2−2α[f	NOUN
ejpam-5211	188	4	(	(	PUNCT
ejpam-5211	188	5	y)−	y)−	PROPN
ejpam-5211	188	6	f	f	X
ejpam-5211	188	7	(	(	PUNCT
ejpam-5211	188	8	x)]l−k−1[1−	x)]l−k−1[1−	NOUN
ejpam-5211	188	9	f	f	PROPN
ejpam-5211	188	10	(	(	PUNCT
ejpam-5211	188	11	y)]n−lf(y)dy	y)]n−lf(y)dy	NOUN
ejpam-5211	188	12	−	−	PROPN
ejpam-5211	188	13	l	l	NOUN
ejpam-5211	188	14	−	−	PROPN
ejpam-5211	188	15	k	k	NOUN
ejpam-5211	188	16	−	−	PROPN
ejpam-5211	188	17	1	1	NUM
ejpam-5211	188	18	i2	i2	PROPN
ejpam-5211	188	19	−	−	PROPN
ejpam-5211	188	20	2α	2α	PROPN
ejpam-5211	188	21	∫	∫	PROPN
ejpam-5211	188	22	∞	∞	NUM
ejpam-5211	188	23	x	x	SYM
ejpam-5211	188	24	yi2−2α[f	yi2−2α[f	NOUN
ejpam-5211	188	25	(	(	PUNCT
ejpam-5211	188	26	y)−	y)−	PROPN
ejpam-5211	188	27	f	f	X
ejpam-5211	188	28	(	(	PUNCT
ejpam-5211	188	29	x)]l−k−2[1−	x)]l−k−2[1−	NOUN
ejpam-5211	188	30	f	f	PROPN
ejpam-5211	188	31	(	(	PUNCT
ejpam-5211	188	32	y)]n−l+1f(y)dy	y)]n−l+1f(y)dy	PROPN
ejpam-5211	188	33	}	}	PUNCT
ejpam-5211	188	34	.	.	PUNCT
ejpam-5211	189	1	putting	put	VERB
ejpam-5211	189	2	the	the	DET
ejpam-5211	189	3	values	value	NOUN
ejpam-5211	189	4	of	of	ADP
ejpam-5211	189	5	wx	wx	PROPN
ejpam-5211	189	6	in	in	ADP
ejpam-5211	189	7	(	(	PUNCT
ejpam-5211	189	8	20	20	NUM
ejpam-5211	189	9	)	)	PUNCT
ejpam-5211	189	10	,	,	PUNCT
ejpam-5211	189	11	directly	directly	ADV
ejpam-5211	189	12	yields	yield	VERB
ejpam-5211	189	13	(	(	PUNCT
ejpam-5211	189	14	18	18	NUM
ejpam-5211	189	15	)	)	PUNCT
ejpam-5211	189	16	.	.	PUNCT
ejpam-5211	190	1	m.	m.	PROPN
ejpam-5211	190	2	i.	i.	PROPN
ejpam-5211	190	3	khan	khan	PROPN
ejpam-5211	190	4	/	/	SYM
ejpam-5211	190	5	eur	eur	PROPN
ejpam-5211	190	6	.	.	PUNCT
ejpam-5211	191	1	j.	j.	PROPN
ejpam-5211	191	2	pure	pure	PROPN
ejpam-5211	191	3	appl	appl	PROPN
ejpam-5211	191	4	.	.	PROPN
ejpam-5211	191	5	math	math	PROPN
ejpam-5211	191	6	,	,	PUNCT
ejpam-5211	191	7	17	17	NUM
ejpam-5211	191	8	(	(	PUNCT
ejpam-5211	191	9	3	3	NUM
ejpam-5211	191	10	)	)	PUNCT
ejpam-5211	191	11	(	(	PUNCT
ejpam-5211	191	12	2024	2024	NUM
ejpam-5211	191	13	)	)	PUNCT
ejpam-5211	191	14	,	,	PUNCT
ejpam-5211	191	15	2182	2182	NUM
ejpam-5211	191	16	-	-	SYM
ejpam-5211	191	17	2195	2195	NUM
ejpam-5211	191	18	2191	2191	NUM
ejpam-5211	191	19	4	4	NUM
ejpam-5211	191	20	.	.	PUNCT
ejpam-5211	191	21	actuarial	actuarial	ADJ
ejpam-5211	191	22	measures	measure	NOUN
ejpam-5211	191	23	(	(	PUNCT
ejpam-5211	191	24	a.m.	a.m.	ADV
ejpam-5211	191	25	)	)	PUNCT
ejpam-5211	191	26	the	the	DET
ejpam-5211	191	27	a.m.	a.m.	PROPN
ejpam-5211	191	28	plays	play	VERB
ejpam-5211	191	29	a	a	DET
ejpam-5211	191	30	leading	lead	VERB
ejpam-5211	191	31	role	role	NOUN
ejpam-5211	191	32	in	in	ADP
ejpam-5211	191	33	insurance	insurance	NOUN
ejpam-5211	191	34	science	science	NOUN
ejpam-5211	191	35	via	via	ADP
ejpam-5211	191	36	uncertainty	uncertainty	NOUN
ejpam-5211	191	37	.	.	PUNCT
ejpam-5211	192	1	due	due	ADP
ejpam-5211	192	2	to	to	ADP
ejpam-5211	192	3	its	its	PRON
ejpam-5211	192	4	usefulness	usefulness	NOUN
ejpam-5211	192	5	in	in	ADP
ejpam-5211	192	6	portfolio	portfolio	NOUN
ejpam-5211	192	7	optimization	optimization	NOUN
ejpam-5211	192	8	,	,	PUNCT
ejpam-5211	192	9	the	the	DET
ejpam-5211	192	10	interested	interested	ADJ
ejpam-5211	192	11	readers	reader	NOUN
ejpam-5211	192	12	refer	refer	VERB
ejpam-5211	192	13	to	to	AUX
ejpam-5211	192	14	panjer	panjer	VERB
ejpam-5211	192	15	[	[	X
ejpam-5211	192	16	26	26	NUM
ejpam-5211	192	17	]	]	PUNCT
ejpam-5211	192	18	,	,	PUNCT
ejpam-5211	192	19	artzrner	artzrner	NOUN
ejpam-5211	193	1	[	[	X
ejpam-5211	193	2	6	6	NUM
ejpam-5211	193	3	]	]	PUNCT
ejpam-5211	193	4	and	and	CCONJ
ejpam-5211	193	5	landsman	landsman	NOUN
ejpam-5211	194	1	[	[	X
ejpam-5211	194	2	22	22	NUM
ejpam-5211	194	3	]	]	PUNCT
ejpam-5211	194	4	.	.	PUNCT
ejpam-5211	195	1	we	we	PRON
ejpam-5211	195	2	derive	derive	VERB
ejpam-5211	195	3	some	some	DET
ejpam-5211	195	4	important	important	ADJ
ejpam-5211	195	5	risks	risk	NOUN
ejpam-5211	195	6	as	as	SCONJ
ejpam-5211	195	7	follows	follow	VERB
ejpam-5211	195	8	.	.	PUNCT
ejpam-5211	196	1	4.1	4.1	NUM
ejpam-5211	196	2	.	.	PUNCT
ejpam-5211	196	3	value	value	NOUN
ejpam-5211	196	4	at	at	ADP
ejpam-5211	196	5	risk	risk	NOUN
ejpam-5211	196	6	:	:	PUNCT
ejpam-5211	196	7	it	it	PRON
ejpam-5211	196	8	is	be	AUX
ejpam-5211	196	9	represented	represent	VERB
ejpam-5211	196	10	with	with	ADP
ejpam-5211	196	11	a	a	DET
ejpam-5211	196	12	confidence	confidence	NOUN
ejpam-5211	196	13	level	level	NOUN
ejpam-5211	196	14	q	q	NOUN
ejpam-5211	196	15	(	(	PUNCT
ejpam-5211	196	16	typically	typically	ADV
ejpam-5211	196	17	90	90	NUM
ejpam-5211	196	18	%	%	NOUN
ejpam-5211	196	19	,	,	PUNCT
ejpam-5211	196	20	95	95	NUM
ejpam-5211	196	21	%	%	NOUN
ejpam-5211	196	22	or	or	CCONJ
ejpam-5211	196	23	99	99	NUM
ejpam-5211	196	24	%	%	NOUN
ejpam-5211	196	25	)	)	PUNCT
ejpam-5211	196	26	.	.	PUNCT
ejpam-5211	197	1	the	the	DET
ejpam-5211	197	2	var	var	NOUN
ejpam-5211	197	3	of	of	ADP
ejpam-5211	197	4	r.v	r.v	PROPN
ejpam-5211	197	5	.	.	PUNCT
ejpam-5211	198	1	x	x	PUNCT
ejpam-5211	198	2	is	be	AUX
ejpam-5211	198	3	the	the	DET
ejpam-5211	198	4	qth	qth	NOUN
ejpam-5211	198	5	quantile	quantile	NOUN
ejpam-5211	198	6	of	of	ADP
ejpam-5211	198	7	(	(	PUNCT
ejpam-5211	198	8	2	2	NUM
ejpam-5211	198	9	)	)	PUNCT
ejpam-5211	198	10	.	.	PUNCT
ejpam-5211	199	1	v	v	ADP
ejpam-5211	199	2	arq(x	arq(x	PROPN
ejpam-5211	199	3	)	)	PUNCT
ejpam-5211	199	4	=	=	SYM
ejpam-5211	199	5	f−1(q	f−1(q	PROPN
ejpam-5211	199	6	)	)	PUNCT
ejpam-5211	199	7	.	.	PUNCT
ejpam-5211	200	1	(	(	PUNCT
ejpam-5211	200	2	21	21	NUM
ejpam-5211	200	3	)	)	PUNCT
ejpam-5211	200	4	therefore	therefore	ADV
ejpam-5211	200	5	,	,	PUNCT
ejpam-5211	200	6	the	the	DET
ejpam-5211	200	7	v	v	NOUN
ejpam-5211	200	8	arq(x	arq(x	PROPN
ejpam-5211	200	9	)	)	PUNCT
ejpam-5211	200	10	of	of	ADP
ejpam-5211	200	11	pir	pir	PROPN
ejpam-5211	200	12	distribution	distribution	NOUN
ejpam-5211	200	13	is	be	AUX
ejpam-5211	200	14	given	give	VERB
ejpam-5211	200	15	by	by	ADP
ejpam-5211	200	16	.	.	PUNCT
ejpam-5211	201	1	xq	xq	X
ejpam-5211	201	2	=	=	PUNCT
ejpam-5211	202	1	[	[	X
ejpam-5211	202	2	−θln	−θln	NOUN
ejpam-5211	202	3	(	(	PUNCT
ejpam-5211	202	4	q	q	X
ejpam-5211	202	5	)	)	PUNCT
ejpam-5211	202	6	]	]	PUNCT
ejpam-5211	202	7	−	−	PROPN
ejpam-5211	202	8	1	1	NUM
ejpam-5211	202	9	2α	2α	NOUN
ejpam-5211	202	10	.	.	PUNCT
ejpam-5211	203	1	(	(	PUNCT
ejpam-5211	203	2	22	22	NUM
ejpam-5211	203	3	)	)	PUNCT
ejpam-5211	203	4	the	the	DET
ejpam-5211	203	5	value	value	NOUN
ejpam-5211	203	6	of	of	ADP
ejpam-5211	203	7	var	var	NOUN
ejpam-5211	203	8	is	be	AUX
ejpam-5211	203	9	increasing	increase	VERB
ejpam-5211	203	10	at	at	ADP
ejpam-5211	203	11	the	the	DET
ejpam-5211	203	12	different	different	ADJ
ejpam-5211	203	13	level	level	NOUN
ejpam-5211	203	14	of	of	ADP
ejpam-5211	203	15	q	q	NOUN
ejpam-5211	203	16	for	for	ADP
ejpam-5211	203	17	fixed	fix	VERB
ejpam-5211	203	18	values	value	NOUN
ejpam-5211	203	19	of	of	ADP
ejpam-5211	203	20	α	α	PROPN
ejpam-5211	203	21	and	and	CCONJ
ejpam-5211	203	22	θ	θ	PROPN
ejpam-5211	203	23	.	.	PROPN
ejpam-5211	203	24	4.2	4.2	NUM
ejpam-5211	203	25	.	.	PUNCT
ejpam-5211	204	1	tail	tail	NOUN
ejpam-5211	204	2	value	value	NOUN
ejpam-5211	204	3	at	at	ADP
ejpam-5211	204	4	risk	risk	NOUN
ejpam-5211	204	5	:	:	PUNCT
ejpam-5211	204	6	the	the	DET
ejpam-5211	204	7	expected	expect	VERB
ejpam-5211	204	8	value	value	NOUN
ejpam-5211	204	9	of	of	ADP
ejpam-5211	204	10	the	the	DET
ejpam-5211	204	11	loss	loss	NOUN
ejpam-5211	204	12	,	,	PUNCT
ejpam-5211	204	13	which	which	PRON
ejpam-5211	204	14	is	be	AUX
ejpam-5211	204	15	greater	great	ADJ
ejpam-5211	204	16	than	than	SCONJ
ejpam-5211	204	17	the	the	DET
ejpam-5211	204	18	var	var	NOUN
ejpam-5211	204	19	is	be	AUX
ejpam-5211	204	20	called	call	VERB
ejpam-5211	204	21	tail	tail	NOUN
ejpam-5211	204	22	value	value	NOUN
ejpam-5211	204	23	at	at	ADP
ejpam-5211	204	24	risk	risk	NOUN
ejpam-5211	204	25	(	(	PUNCT
ejpam-5211	204	26	tv	tv	PROPN
ejpam-5211	204	27	ar	ar	PROPN
ejpam-5211	204	28	)	)	PUNCT
ejpam-5211	204	29	.	.	PUNCT
ejpam-5211	205	1	by	by	ADP
ejpam-5211	205	2	definition	definition	NOUN
ejpam-5211	205	3	tv	tv	NOUN
ejpam-5211	205	4	arq(x	arq(x	PROPN
ejpam-5211	205	5	)	)	PUNCT
ejpam-5211	205	6	=	=	PUNCT
ejpam-5211	205	7	1	1	NUM
ejpam-5211	205	8	1−	1−	NUM
ejpam-5211	205	9	q	q	NOUN
ejpam-5211	205	10	∫	∫	PROPN
ejpam-5211	205	11	∞	∞	PROPN
ejpam-5211	205	12	v	v	PROPN
ejpam-5211	205	13	arq	arq	NOUN
ejpam-5211	205	14	xf(x)dx	xf(x)dx	NOUN
ejpam-5211	205	15	.	.	PUNCT
ejpam-5211	206	1	(	(	PUNCT
ejpam-5211	206	2	23	23	NUM
ejpam-5211	206	3	)	)	PUNCT
ejpam-5211	206	4	therefore	therefore	ADV
ejpam-5211	206	5	,	,	PUNCT
ejpam-5211	206	6	the	the	DET
ejpam-5211	206	7	tv	tv	NOUN
ejpam-5211	206	8	arq(x	arq(x	PROPN
ejpam-5211	206	9	)	)	PUNCT
ejpam-5211	206	10	from	from	ADP
ejpam-5211	206	11	(	(	PUNCT
ejpam-5211	206	12	23	23	NUM
ejpam-5211	206	13	)	)	PUNCT
ejpam-5211	206	14	is	be	AUX
ejpam-5211	206	15	.	.	PUNCT
ejpam-5211	207	1	tv	tv	NOUN
ejpam-5211	207	2	arq(x	arq(x	PROPN
ejpam-5211	207	3	)	)	PUNCT
ejpam-5211	207	4	=	=	PRON
ejpam-5211	208	1	(	(	PUNCT
ejpam-5211	208	2	θ)−	θ)−	PROPN
ejpam-5211	208	3	1	1	NUM
ejpam-5211	208	4	2α	2α	NOUN
ejpam-5211	208	5	1−	1−	NUM
ejpam-5211	208	6	q	q	NOUN
ejpam-5211	208	7	γ	γ	X
ejpam-5211	208	8	(	(	PUNCT
ejpam-5211	208	9	1−	1−	NUM
ejpam-5211	208	10	1	1	NUM
ejpam-5211	208	11	2α	2α	NOUN
ejpam-5211	208	12	,	,	PUNCT
ejpam-5211	208	13	1	1	NUM
ejpam-5211	208	14	θ(v	θ(v	X
ejpam-5211	208	15	arq	arq	NOUN
ejpam-5211	208	16	)	)	PUNCT
ejpam-5211	208	17	2α	2α	NOUN
ejpam-5211	208	18	)	)	PUNCT
ejpam-5211	208	19	.	.	PUNCT
ejpam-5211	209	1	(	(	PUNCT
ejpam-5211	209	2	24	24	NUM
ejpam-5211	209	3	)	)	PUNCT
ejpam-5211	209	4	4.3	4.3	NUM
ejpam-5211	209	5	.	.	PUNCT
ejpam-5211	210	1	tail	tail	NOUN
ejpam-5211	210	2	variance	variance	NOUN
ejpam-5211	210	3	:	:	PUNCT
ejpam-5211	210	4	the	the	DET
ejpam-5211	210	5	variability	variability	NOUN
ejpam-5211	210	6	of	of	ADP
ejpam-5211	210	7	the	the	DET
ejpam-5211	210	8	risk	risk	NOUN
ejpam-5211	210	9	along	along	ADP
ejpam-5211	210	10	the	the	DET
ejpam-5211	210	11	tail	tail	NOUN
ejpam-5211	210	12	of	of	ADP
ejpam-5211	210	13	distribution	distribution	NOUN
ejpam-5211	210	14	is	be	AUX
ejpam-5211	210	15	known	know	VERB
ejpam-5211	210	16	as	as	ADP
ejpam-5211	210	17	tail	tail	NOUN
ejpam-5211	210	18	variance	variance	NOUN
ejpam-5211	210	19	(	(	PUNCT
ejpam-5211	210	20	tv	tv	NOUN
ejpam-5211	210	21	)	)	PUNCT
ejpam-5211	210	22	.	.	PUNCT
ejpam-5211	211	1	it	it	PRON
ejpam-5211	211	2	is	be	AUX
ejpam-5211	211	3	determined	determine	VERB
ejpam-5211	211	4	as	as	ADP
ejpam-5211	211	5	.	.	PUNCT
ejpam-5211	212	1	tvq(x	tvq(x	X
ejpam-5211	213	1	)	)	PUNCT
ejpam-5211	213	2	=	=	SYM
ejpam-5211	213	3	e	e	X
ejpam-5211	213	4	[	[	PUNCT
ejpam-5211	213	5	x2|x	x2|x	PROPN
ejpam-5211	213	6	>	>	X
ejpam-5211	213	7	xq	xq	PROPN
ejpam-5211	213	8	]	]	PUNCT
ejpam-5211	214	1	−	−	PROPN
ejpam-5211	215	1	[	[	X
ejpam-5211	215	2	tv	tv	NOUN
ejpam-5211	215	3	arq	arq	NOUN
ejpam-5211	215	4	]	]	X
ejpam-5211	215	5	2	2	NUM
ejpam-5211	215	6	.	.	PUNCT
ejpam-5211	215	7	(	(	PUNCT
ejpam-5211	215	8	25	25	NUM
ejpam-5211	215	9	)	)	PUNCT
ejpam-5211	215	10	therefore	therefore	ADV
ejpam-5211	215	11	,	,	PUNCT
ejpam-5211	215	12	thetv(x	thetv(x	NUM
ejpam-5211	215	13	)	)	PUNCT
ejpam-5211	215	14	of	of	ADP
ejpam-5211	215	15	the	the	DET
ejpam-5211	215	16	pir	pir	PROPN
ejpam-5211	215	17	distribution	distribution	NOUN
ejpam-5211	215	18	is	be	AUX
ejpam-5211	215	19	addressed	address	VERB
ejpam-5211	215	20	in	in	ADP
ejpam-5211	215	21	(	(	PUNCT
ejpam-5211	215	22	26	26	NUM
ejpam-5211	215	23	)	)	PUNCT
ejpam-5211	215	24	tvq(x	tvq(x	PROPN
ejpam-5211	215	25	)	)	PUNCT
ejpam-5211	215	26	=	=	SYM
ejpam-5211	215	27	(	(	PUNCT
ejpam-5211	215	28	θ)−	θ)−	PROPN
ejpam-5211	215	29	1	1	NUM
ejpam-5211	215	30	α	α	NOUN
ejpam-5211	215	31	1−	1−	NUM
ejpam-5211	215	32	q	q	NOUN
ejpam-5211	215	33	γ	γ	X
ejpam-5211	215	34	(	(	PUNCT
ejpam-5211	215	35	1−	1−	NUM
ejpam-5211	215	36	1	1	NUM
ejpam-5211	215	37	α	α	NOUN
ejpam-5211	215	38	,	,	PUNCT
ejpam-5211	215	39	1	1	NUM
ejpam-5211	215	40	θ(v	θ(v	X
ejpam-5211	215	41	arq	arq	NOUN
ejpam-5211	215	42	)	)	PUNCT
ejpam-5211	215	43	2α	2α	NOUN
ejpam-5211	215	44	)	)	PUNCT
ejpam-5211	215	45	−	−	PROPN
ejpam-5211	216	1	[	[	PUNCT
ejpam-5211	216	2	(	(	PUNCT
ejpam-5211	216	3	θ)−	θ)−	PROPN
ejpam-5211	216	4	1	1	NUM
ejpam-5211	216	5	2α	2α	NOUN
ejpam-5211	216	6	1−	1−	NUM
ejpam-5211	216	7	q	q	NOUN
ejpam-5211	216	8	γ	γ	X
ejpam-5211	216	9	(	(	PUNCT
ejpam-5211	216	10	1−	1−	NUM
ejpam-5211	216	11	1	1	NUM
ejpam-5211	216	12	2α	2α	NOUN
ejpam-5211	216	13	,	,	PUNCT
ejpam-5211	216	14	1	1	NUM
ejpam-5211	216	15	θ(v	θ(v	X
ejpam-5211	216	16	arq	arq	NOUN
ejpam-5211	216	17	)	)	PUNCT
ejpam-5211	216	18	2α	2α	NOUN
ejpam-5211	216	19	)	)	PUNCT
ejpam-5211	217	1	]	]	SYM
ejpam-5211	217	2	2	2	NUM
ejpam-5211	217	3	(	(	PUNCT
ejpam-5211	217	4	26	26	NUM
ejpam-5211	217	5	)	)	PUNCT
ejpam-5211	217	6	where	where	SCONJ
ejpam-5211	217	7	e	e	X
ejpam-5211	217	8	[	[	PUNCT
ejpam-5211	217	9	x2|x	x2|x	PROPN
ejpam-5211	217	10	>	>	X
ejpam-5211	217	11	xq	xq	PROPN
ejpam-5211	217	12	]	]	PUNCT
ejpam-5211	218	1	=	=	PUNCT
ejpam-5211	218	2	1	1	NUM
ejpam-5211	218	3	1−	1−	NUM
ejpam-5211	218	4	q	q	NOUN
ejpam-5211	218	5	∫	∫	PROPN
ejpam-5211	218	6	∞	∞	PROPN
ejpam-5211	218	7	v	v	PROPN
ejpam-5211	218	8	arq	arq	NOUN
ejpam-5211	218	9	x2f	x2f	X
ejpam-5211	218	10	(	(	PUNCT
ejpam-5211	218	11	x	x	X
ejpam-5211	218	12	)	)	PUNCT
ejpam-5211	218	13	dx	dx	PROPN
ejpam-5211	218	14	=	=	SYM
ejpam-5211	219	1	(	(	PUNCT
ejpam-5211	219	2	θ)−	θ)−	PROPN
ejpam-5211	219	3	1	1	NUM
ejpam-5211	219	4	α	α	NOUN
ejpam-5211	219	5	1−	1−	NUM
ejpam-5211	219	6	q	q	NOUN
ejpam-5211	219	7	γ	γ	X
ejpam-5211	219	8	(	(	PUNCT
ejpam-5211	219	9	1−	1−	NUM
ejpam-5211	219	10	1	1	NUM
ejpam-5211	219	11	α	α	NOUN
ejpam-5211	219	12	,	,	PUNCT
ejpam-5211	219	13	1	1	NUM
ejpam-5211	219	14	θ(v	θ(v	X
ejpam-5211	219	15	arq	arq	NOUN
ejpam-5211	219	16	)	)	PUNCT
ejpam-5211	219	17	2α	2α	NOUN
ejpam-5211	219	18	)	)	PUNCT
ejpam-5211	219	19	m.	m.	NOUN
ejpam-5211	219	20	i.	i.	PROPN
ejpam-5211	219	21	khan	khan	PROPN
ejpam-5211	219	22	/	/	SYM
ejpam-5211	219	23	eur	eur	PROPN
ejpam-5211	219	24	.	.	PUNCT
ejpam-5211	220	1	j.	j.	PROPN
ejpam-5211	220	2	pure	pure	PROPN
ejpam-5211	220	3	appl	appl	PROPN
ejpam-5211	220	4	.	.	PROPN
ejpam-5211	220	5	math	math	PROPN
ejpam-5211	220	6	,	,	PUNCT
ejpam-5211	220	7	17	17	NUM
ejpam-5211	220	8	(	(	PUNCT
ejpam-5211	220	9	3	3	NUM
ejpam-5211	220	10	)	)	PUNCT
ejpam-5211	220	11	(	(	PUNCT
ejpam-5211	220	12	2024	2024	NUM
ejpam-5211	220	13	)	)	PUNCT
ejpam-5211	220	14	,	,	PUNCT
ejpam-5211	220	15	2182	2182	NUM
ejpam-5211	220	16	-	-	SYM
ejpam-5211	220	17	2195	2195	NUM
ejpam-5211	220	18	2192	2192	NUM
ejpam-5211	220	19	table	table	NOUN
ejpam-5211	220	20	6	6	NUM
ejpam-5211	220	21	:	:	SYM
ejpam-5211	220	22	v	v	NUM
ejpam-5211	220	23	arq(x	arq(x	PROPN
ejpam-5211	220	24	)	)	PUNCT
ejpam-5211	220	25	at	at	ADP
ejpam-5211	220	26	θ	θ	PROPN
ejpam-5211	220	27	=	=	SYM
ejpam-5211	220	28	1	1	NUM
ejpam-5211	220	29	,	,	PUNCT
ejpam-5211	220	30	2	2	NUM
ejpam-5211	220	31	,	,	PUNCT
ejpam-5211	220	32	and	and	CCONJ
ejpam-5211	220	33	3	3	NUM
ejpam-5211	220	34	at	at	ADP
ejpam-5211	220	35	different	different	ADJ
ejpam-5211	220	36	level	level	NOUN
ejpam-5211	220	37	of	of	ADP
ejpam-5211	220	38	q.	q.	NOUN
ejpam-5211	220	39	θ	θ	PROPN
ejpam-5211	220	40	=	=	PUNCT
ejpam-5211	221	1	1	1	NUM
ejpam-5211	221	2	α\q	α\q	NOUN
ejpam-5211	221	3	75	75	NUM
ejpam-5211	221	4	%	%	NOUN
ejpam-5211	221	5	80	80	NUM
ejpam-5211	221	6	%	%	NOUN
ejpam-5211	221	7	85	85	NUM
ejpam-5211	221	8	%	%	NOUN
ejpam-5211	221	9	90	90	NUM
ejpam-5211	221	10	%	%	NOUN
ejpam-5211	221	11	95	95	NUM
ejpam-5211	221	12	%	%	NOUN
ejpam-5211	221	13	99	99	NUM
ejpam-5211	221	14	%	%	NOUN
ejpam-5211	221	15	0.5	0.5	NUM
ejpam-5211	221	16	3.45	3.45	NUM
ejpam-5211	221	17	4.55	4.55	NUM
ejpam-5211	221	18	6.25	6.25	NUM
ejpam-5211	221	19	9.09	9.09	NUM
ejpam-5211	221	20	20.0	20.0	NUM
ejpam-5211	221	21	100	100	NUM
ejpam-5211	221	22	1.0	1.0	NUM
ejpam-5211	221	23	1.86	1.86	NUM
ejpam-5211	221	24	2.13	2.13	NUM
ejpam-5211	221	25	2.50	2.50	NUM
ejpam-5211	221	26	3.02	3.02	NUM
ejpam-5211	221	27	4.47	4.47	NUM
ejpam-5211	221	28	10.0	10.0	NUM
ejpam-5211	221	29	1.5	1.5	NUM
ejpam-5211	221	30	1.51	1.51	NUM
ejpam-5211	221	31	1.66	1.66	NUM
ejpam-5211	221	32	1.84	1.84	NUM
ejpam-5211	221	33	2.09	2.09	NUM
ejpam-5211	221	34	2.71	2.71	NUM
ejpam-5211	221	35	4.64	4.64	NUM
ejpam-5211	221	36	2.0	2.0	NUM
ejpam-5211	221	37	1.36	1.36	NUM
ejpam-5211	221	38	1.46	1.46	NUM
ejpam-5211	221	39	1.58	1.58	NUM
ejpam-5211	221	40	1.74	1.74	NUM
ejpam-5211	221	41	2.11	2.11	NUM
ejpam-5211	221	42	3.16	3.16	NUM
ejpam-5211	221	43	2.5	2.5	NUM
ejpam-5211	221	44	1.28	1.28	NUM
ejpam-5211	221	45	1.35	1.35	NUM
ejpam-5211	221	46	1.44	1.44	NUM
ejpam-5211	221	47	1.55	1.55	NUM
ejpam-5211	221	48	1.82	1.82	NUM
ejpam-5211	221	49	2.51	2.51	NUM
ejpam-5211	221	50	3.0	3.0	NUM
ejpam-5211	221	51	1.23	1.23	NUM
ejpam-5211	221	52	1.28	1.28	NUM
ejpam-5211	221	53	1.36	1.36	NUM
ejpam-5211	221	54	1.44	1.44	NUM
ejpam-5211	221	55	1.65	1.65	NUM
ejpam-5211	221	56	2.15	2.15	NUM
ejpam-5211	221	57	θ	θ	NOUN
ejpam-5211	221	58	=	=	SYM
ejpam-5211	221	59	2	2	NUM
ejpam-5211	221	60	α\q	α\q	NOUN
ejpam-5211	221	61	75	75	NUM
ejpam-5211	221	62	%	%	NOUN
ejpam-5211	221	63	80	80	NUM
ejpam-5211	221	64	%	%	NOUN
ejpam-5211	221	65	85	85	NUM
ejpam-5211	221	66	%	%	NOUN
ejpam-5211	221	67	90	90	NUM
ejpam-5211	221	68	%	%	NOUN
ejpam-5211	221	69	95	95	NUM
ejpam-5211	221	70	%	%	NOUN
ejpam-5211	221	71	99	99	NUM
ejpam-5211	221	72	%	%	NOUN
ejpam-5211	221	73	0.5	0.5	NUM
ejpam-5211	221	74	1.72	1.72	NUM
ejpam-5211	221	75	2.22	2.22	NUM
ejpam-5211	221	76	3.03	3.03	NUM
ejpam-5211	221	77	4.76	4.76	NUM
ejpam-5211	221	78	10.0	10.0	NUM
ejpam-5211	221	79	50.0	50.0	NUM
ejpam-5211	221	80	1.0	1.0	NUM
ejpam-5211	221	81	1.31	1.31	NUM
ejpam-5211	221	82	1.49	1.49	NUM
ejpam-5211	221	83	1.74	1.74	NUM
ejpam-5211	221	84	2.18	2.18	NUM
ejpam-5211	221	85	3.16	3.16	NUM
ejpam-5211	221	86	7.07	7.07	NUM
ejpam-5211	221	87	1.5	1.5	NUM
ejpam-5211	221	88	1.20	1.20	NUM
ejpam-5211	221	89	1.30	1.30	NUM
ejpam-5211	221	90	1.45	1.45	NUM
ejpam-5211	221	91	1.68	1.68	NUM
ejpam-5211	221	92	2.15	2.15	NUM
ejpam-5211	221	93	3.68	3.68	NUM
ejpam-5211	221	94	2.0	2.0	NUM
ejpam-5211	221	95	1.15	1.15	NUM
ejpam-5211	221	96	1.22	1.22	NUM
ejpam-5211	221	97	1.32	1.32	NUM
ejpam-5211	221	98	1.48	1.48	NUM
ejpam-5211	221	99	1.78	1.78	NUM
ejpam-5211	221	100	2.66	2.66	NUM
ejpam-5211	221	101	2.5	2.5	NUM
ejpam-5211	221	102	1.12	1.12	NUM
ejpam-5211	221	103	1.17	1.17	NUM
ejpam-5211	221	104	1.25	1.25	NUM
ejpam-5211	221	105	1.37	1.37	NUM
ejpam-5211	221	106	1.58	1.58	NUM
ejpam-5211	221	107	2.19	2.19	NUM
ejpam-5211	221	108	3.0	3.0	NUM
ejpam-5211	221	109	1.10	1.10	NUM
ejpam-5211	221	110	1.14	1.14	NUM
ejpam-5211	221	111	1.20	1.20	NUM
ejpam-5211	221	112	1.29	1.29	NUM
ejpam-5211	221	113	1.47	1.47	NUM
ejpam-5211	221	114	1.92	1.92	NUM
ejpam-5211	221	115	θ	θ	NOUN
ejpam-5211	221	116	=	=	SYM
ejpam-5211	221	117	3	3	NUM
ejpam-5211	221	118	α\q	α\q	NOUN
ejpam-5211	221	119	75	75	NUM
ejpam-5211	221	120	%	%	NOUN
ejpam-5211	221	121	80	80	NUM
ejpam-5211	221	122	%	%	NOUN
ejpam-5211	221	123	85	85	NUM
ejpam-5211	221	124	%	%	NOUN
ejpam-5211	221	125	90	90	NUM
ejpam-5211	221	126	%	%	NOUN
ejpam-5211	221	127	95	95	NUM
ejpam-5211	221	128	%	%	NOUN
ejpam-5211	221	129	99	99	NUM
ejpam-5211	221	130	%	%	NOUN
ejpam-5211	221	131	0.5	0.5	NUM
ejpam-5211	221	132	1.16	1.16	NUM
ejpam-5211	221	133	1.49	1.49	NUM
ejpam-5211	221	134	2.04	2.04	NUM
ejpam-5211	221	135	3.13	3.13	NUM
ejpam-5211	221	136	6.67	6.67	NUM
ejpam-5211	221	137	33.3	33.3	NUM
ejpam-5211	221	138	1.0	1.0	NUM
ejpam-5211	221	139	1.08	1.08	NUM
ejpam-5211	221	140	1.22	1.22	NUM
ejpam-5211	221	141	1.43	1.43	NUM
ejpam-5211	221	142	1.77	1.77	NUM
ejpam-5211	221	143	2.58	2.58	NUM
ejpam-5211	221	144	5.78	5.78	NUM
ejpam-5211	221	145	1.5	1.5	NUM
ejpam-5211	221	146	1.05	1.05	NUM
ejpam-5211	221	147	1.14	1.14	NUM
ejpam-5211	221	148	1.27	1.27	NUM
ejpam-5211	221	149	1.46	1.46	NUM
ejpam-5211	221	150	1.88	1.88	NUM
ejpam-5211	221	151	3.22	3.22	NUM
ejpam-5211	221	152	2.0	2.0	NUM
ejpam-5211	221	153	1.04	1.04	NUM
ejpam-5211	221	154	1.11	1.11	NUM
ejpam-5211	221	155	1.20	1.20	NUM
ejpam-5211	221	156	1.32	1.32	NUM
ejpam-5211	221	157	1.61	1.61	NUM
ejpam-5211	221	158	2.40	2.40	NUM
ejpam-5211	221	159	2.5	2.5	NUM
ejpam-5211	221	160	1.03	1.03	NUM
ejpam-5211	221	161	1.08	1.08	NUM
ejpam-5211	221	162	1.15	1.15	NUM
ejpam-5211	221	163	1.26	1.26	NUM
ejpam-5211	221	164	1.46	1.46	NUM
ejpam-5211	221	165	2.02	2.02	NUM
ejpam-5211	221	166	3.0	3.0	NUM
ejpam-5211	221	167	1.02	1.02	NUM
ejpam-5211	221	168	1.07	1.07	NUM
ejpam-5211	221	169	1.13	1.13	NUM
ejpam-5211	221	170	1.21	1.21	NUM
ejpam-5211	221	171	1.37	1.37	NUM
ejpam-5211	221	172	1.79	1.79	NUM
ejpam-5211	221	173	4.4	4.4	NUM
ejpam-5211	221	174	.	.	PUNCT
ejpam-5211	221	175	total	total	ADJ
ejpam-5211	221	176	variance	variance	NOUN
ejpam-5211	221	177	premium	premium	NOUN
ejpam-5211	221	178	:	:	PUNCT
ejpam-5211	221	179	the	the	DET
ejpam-5211	221	180	combination	combination	NOUN
ejpam-5211	221	181	of	of	ADP
ejpam-5211	221	182	tvq	tvq	NOUN
ejpam-5211	221	183	and	and	CCONJ
ejpam-5211	221	184	tv	tv	NOUN
ejpam-5211	221	185	arq	arq	NOUN
ejpam-5211	221	186	is	be	AUX
ejpam-5211	221	187	called	call	VERB
ejpam-5211	221	188	the	the	DET
ejpam-5211	221	189	total	total	ADJ
ejpam-5211	221	190	variance	variance	NOUN
ejpam-5211	221	191	premium	premium	NOUN
ejpam-5211	221	192	(	(	PUNCT
ejpam-5211	221	193	tvp	tvp	PROPN
ejpam-5211	221	194	)	)	PUNCT
ejpam-5211	221	195	.	.	PUNCT
ejpam-5211	222	1	it	it	PRON
ejpam-5211	222	2	is	be	AUX
ejpam-5211	222	3	definedas	definedas	PROPN
ejpam-5211	222	4	follows	follow	VERB
ejpam-5211	222	5	.	.	PUNCT
ejpam-5211	223	1	tv	tv	NOUN
ejpam-5211	223	2	pq(x	pq(x	NUM
ejpam-5211	223	3	)	)	PUNCT
ejpam-5211	224	1	=	=	SYM
ejpam-5211	224	2	tv	tv	NOUN
ejpam-5211	224	3	arq	arq	NOUN
ejpam-5211	224	4	+	+	CCONJ
ejpam-5211	224	5	δtvq	δtvq	PROPN
ejpam-5211	224	6	(	(	PUNCT
ejpam-5211	224	7	27	27	NUM
ejpam-5211	224	8	)	)	PUNCT
ejpam-5211	224	9	where	where	SCONJ
ejpam-5211	224	10	0	0	NUM
ejpam-5211	224	11	<	<	X
ejpam-5211	224	12	δ	δ	X
ejpam-5211	224	13	<	<	X
ejpam-5211	224	14	1	1	NUM
ejpam-5211	224	15	.	.	PUNCT
ejpam-5211	224	16	substituting	substitute	VERB
ejpam-5211	224	17	the	the	DET
ejpam-5211	224	18	expressions	expression	NOUN
ejpam-5211	224	19	(	(	PUNCT
ejpam-5211	224	20	24	24	NUM
ejpam-5211	224	21	)	)	PUNCT
ejpam-5211	224	22	and	and	CCONJ
ejpam-5211	224	23	(	(	PUNCT
ejpam-5211	224	24	26	26	NUM
ejpam-5211	224	25	)	)	PUNCT
ejpam-5211	224	26	into	into	ADP
ejpam-5211	224	27	(	(	PUNCT
ejpam-5211	224	28	27	27	NUM
ejpam-5211	224	29	)	)	PUNCT
ejpam-5211	224	30	completes	complete	VERB
ejpam-5211	224	31	the	the	DET
ejpam-5211	224	32	proof	proof	NOUN
ejpam-5211	224	33	.	.	PUNCT
ejpam-5211	225	1	5	5	X
ejpam-5211	225	2	.	.	X
ejpam-5211	225	3	conclusion	conclusion	NOUN
ejpam-5211	225	4	the	the	DET
ejpam-5211	225	5	current	current	ADJ
ejpam-5211	225	6	study	study	NOUN
ejpam-5211	225	7	explores	explore	VERB
ejpam-5211	225	8	the	the	DET
ejpam-5211	225	9	moments	moment	NOUN
ejpam-5211	225	10	of	of	ADP
ejpam-5211	225	11	the	the	DET
ejpam-5211	225	12	o.s	o.s	PROPN
ejpam-5211	225	13	.	.	PROPN
ejpam-5211	225	14	from	from	ADP
ejpam-5211	225	15	the	the	DET
ejpam-5211	225	16	pir	pir	PROPN
ejpam-5211	225	17	distribution	distribution	NOUN
ejpam-5211	225	18	.	.	PUNCT
ejpam-5211	226	1	the	the	DET
ejpam-5211	226	2	numerical	numerical	ADJ
ejpam-5211	226	3	computations	computation	NOUN
ejpam-5211	226	4	are	be	AUX
ejpam-5211	226	5	reported	report	VERB
ejpam-5211	226	6	based	base	VERB
ejpam-5211	226	7	on	on	ADP
ejpam-5211	226	8	the	the	DET
ejpam-5211	226	9	o.s	o.s	PROPN
ejpam-5211	226	10	.	.	PROPN
ejpam-5211	226	11	cumulative	cumulative	PROPN
ejpam-5211	226	12	entropy	entropy	PROPN
ejpam-5211	226	13	is	be	AUX
ejpam-5211	226	14	evaluated	evaluate	VERB
ejpam-5211	226	15	.	.	PUNCT
ejpam-5211	227	1	the	the	DET
ejpam-5211	227	2	expressions	expression	NOUN
ejpam-5211	227	3	for	for	ADP
ejpam-5211	227	4	single	single	ADJ
ejpam-5211	227	5	and	and	CCONJ
ejpam-5211	227	6	double	double	ADJ
ejpam-5211	227	7	moments	moment	NOUN
ejpam-5211	227	8	are	be	AUX
ejpam-5211	227	9	setup	setup	NOUN
ejpam-5211	227	10	.	.	PUNCT
ejpam-5211	228	1	the	the	DET
ejpam-5211	228	2	actuarial	actuarial	ADJ
ejpam-5211	228	3	measures	measure	NOUN
ejpam-5211	228	4	are	be	AUX
ejpam-5211	228	5	also	also	ADV
ejpam-5211	228	6	tabulated	tabulate	VERB
ejpam-5211	228	7	.	.	PUNCT
ejpam-5211	229	1	references	reference	NOUN
ejpam-5211	229	2	2193	2193	NUM
ejpam-5211	229	3	acknowledgements	acknowledgement	NOUN
ejpam-5211	229	4	the	the	DET
ejpam-5211	229	5	author	author	NOUN
ejpam-5211	229	6	wishes	wish	VERB
ejpam-5211	229	7	to	to	PART
ejpam-5211	229	8	extend	extend	VERB
ejpam-5211	229	9	his	his	PRON
ejpam-5211	229	10	sincere	sincere	ADJ
ejpam-5211	229	11	gratitude	gratitude	NOUN
ejpam-5211	229	12	to	to	ADP
ejpam-5211	229	13	the	the	DET
ejpam-5211	229	14	deanship	deanship	NOUN
ejpam-5211	229	15	of	of	ADP
ejpam-5211	229	16	scientific	scientific	ADJ
ejpam-5211	229	17	research	research	NOUN
ejpam-5211	229	18	at	at	ADP
ejpam-5211	229	19	the	the	DET
ejpam-5211	229	20	islamic	islamic	PROPN
ejpam-5211	229	21	university	university	PROPN
ejpam-5211	229	22	of	of	ADP
ejpam-5211	229	23	madinah	madinah	PROPN
ejpam-5211	229	24	for	for	ADP
ejpam-5211	229	25	support	support	NOUN
ejpam-5211	229	26	provided	provide	VERB
ejpam-5211	229	27	to	to	ADP
ejpam-5211	229	28	the	the	DET
ejpam-5211	229	29	post	post	ADJ
ejpam-5211	229	30	-	-	ADJ
ejpam-5211	229	31	publication	publication	ADJ
ejpam-5211	229	32	program	program	NOUN
ejpam-5211	229	33	(	(	PUNCT
ejpam-5211	229	34	3	3	NUM
ejpam-5211	229	35	)	)	PUNCT
ejpam-5211	229	36	.	.	PUNCT
ejpam-5211	230	1	references	reference	NOUN
ejpam-5211	230	2	[	[	X
ejpam-5211	230	3	1	1	NUM
ejpam-5211	230	4	]	]	X
ejpam-5211	230	5	aael	aael	PROPN
ejpam-5211	230	6	-	-	PUNCT
ejpam-5211	230	7	helbawy	helbawy	PROPN
ejpam-5211	230	8	and	and	CCONJ
ejpam-5211	230	9	abd	abd	PROPN
ejpam-5211	230	10	-	-	PROPN
ejpam-5211	230	11	el	el	PROPN
ejpam-5211	230	12	-	-	PUNCT
ejpam-5211	230	13	monem	monem	NOUN
ejpam-5211	230	14	.	.	PUNCT
ejpam-5211	231	1	bayesian	bayesian	NOUN
ejpam-5211	231	2	estimation	estimation	NOUN
ejpam-5211	231	3	and	and	CCONJ
ejpam-5211	231	4	prediction	prediction	NOUN
ejpam-5211	231	5	for	for	ADP
ejpam-5211	231	6	the	the	DET
ejpam-5211	231	7	inverse	inverse	NOUN
ejpam-5211	231	8	rayleigh	rayleigh	NOUN
ejpam-5211	231	9	lifetime	lifetime	NOUN
ejpam-5211	231	10	distribution	distribution	NOUN
ejpam-5211	231	11	.	.	PUNCT
ejpam-5211	232	1	in	in	ADP
ejpam-5211	232	2	the	the	DET
ejpam-5211	232	3	40th	40th	ADJ
ejpam-5211	232	4	annual	annual	ADJ
ejpam-5211	232	5	conference	conference	NOUN
ejpam-5211	232	6	of	of	ADP
ejpam-5211	232	7	statistics	statistic	NOUN
ejpam-5211	232	8	,	,	PUNCT
ejpam-5211	232	9	computer	computer	NOUN
ejpam-5211	232	10	sciences	science	NOUN
ejpam-5211	232	11	and	and	CCONJ
ejpam-5211	232	12	operation	operation	NOUN
ejpam-5211	232	13	research	research	NOUN
ejpam-5211	232	14	.	.	PUNCT
ejpam-5211	233	1	,	,	PUNCT
ejpam-5211	233	2	pages	page	NOUN
ejpam-5211	233	3	45–59	45–59	NUM
ejpam-5211	233	4	,	,	PUNCT
ejpam-5211	233	5	cairo	cairo	PROPN
ejpam-5211	233	6	,	,	PUNCT
ejpam-5211	233	7	2005	2005	NUM
ejpam-5211	233	8	.	.	PUNCT
ejpam-5211	234	1	cairo	cairo	PROPN
ejpam-5211	234	2	university	university	PROPN
ejpam-5211	234	3	.	.	PUNCT
ejpam-5211	235	1	[	[	X
ejpam-5211	235	2	2	2	NUM
ejpam-5211	235	3	]	]	X
ejpam-5211	235	4	m	m	VERB
ejpam-5211	235	5	a	a	DET
ejpam-5211	235	6	ali	ali	PROPN
ejpam-5211	235	7	and	and	CCONJ
ejpam-5211	235	8	a	a	DET
ejpam-5211	235	9	h	h	NOUN
ejpam-5211	235	10	khan	khan	PROPN
ejpam-5211	235	11	.	.	PUNCT
ejpam-5211	236	1	recurrence	recurrence	NOUN
ejpam-5211	236	2	relations	relation	NOUN
ejpam-5211	236	3	for	for	ADP
ejpam-5211	236	4	expected	expect	VERB
ejpam-5211	236	5	values	value	NOUN
ejpam-5211	236	6	of	of	ADP
ejpam-5211	236	7	certain	certain	ADJ
ejpam-5211	236	8	functions	function	NOUN
ejpam-5211	236	9	of	of	ADP
ejpam-5211	236	10	two	two	NUM
ejpam-5211	236	11	order	order	NOUN
ejpam-5211	236	12	statistics	statistic	NOUN
ejpam-5211	236	13	.	.	PUNCT
ejpam-5211	237	1	metron	metron	PROPN
ejpam-5211	237	2	,	,	PUNCT
ejpam-5211	237	3	56(1	56(1	NUM
ejpam-5211	237	4	-	-	SYM
ejpam-5211	237	5	2):107–119	2):107–119	NUM
ejpam-5211	237	6	,	,	PUNCT
ejpam-5211	237	7	1998	1998	NUM
ejpam-5211	237	8	.	.	PUNCT
ejpam-5211	238	1	[	[	X
ejpam-5211	238	2	3	3	NUM
ejpam-5211	238	3	]	]	X
ejpam-5211	238	4	b	b	PROPN
ejpam-5211	238	5	c	c	NOUN
ejpam-5211	238	6	arnold	arnold	PROPN
ejpam-5211	238	7	and	and	CCONJ
ejpam-5211	238	8	n	n	PRON
ejpam-5211	238	9	balakrishnan	balakrishnan	PROPN
ejpam-5211	238	10	.	.	PUNCT
ejpam-5211	239	1	relations	relation	NOUN
ejpam-5211	239	2	,	,	PUNCT
ejpam-5211	239	3	bounds	bound	NOUN
ejpam-5211	239	4	and	and	CCONJ
ejpam-5211	239	5	approximations	approximation	NOUN
ejpam-5211	239	6	for	for	ADP
ejpam-5211	239	7	order	order	NOUN
ejpam-5211	239	8	statistics	statistic	NOUN
ejpam-5211	239	9	.	.	PUNCT
ejpam-5211	240	1	springer	springer	NOUN
ejpam-5211	240	2	-	-	PUNCT
ejpam-5211	240	3	verlag	verlag	PROPN
ejpam-5211	240	4	,	,	PUNCT
ejpam-5211	240	5	new	new	PROPN
ejpam-5211	240	6	york	york	PROPN
ejpam-5211	240	7	,	,	PUNCT
ejpam-5211	240	8	1989	1989	NUM
ejpam-5211	240	9	.	.	PUNCT
ejpam-5211	241	1	[	[	X
ejpam-5211	241	2	4	4	NUM
ejpam-5211	241	3	]	]	SYM
ejpam-5211	241	4	b	b	PROPN
ejpam-5211	241	5	c	c	PROPN
ejpam-5211	241	6	arnold	arnold	PROPN
ejpam-5211	241	7	,	,	PUNCT
ejpam-5211	241	8	n	n	X
ejpam-5211	241	9	balakrishnan	balakrishnan	NOUN
ejpam-5211	241	10	,	,	PUNCT
ejpam-5211	241	11	and	and	CCONJ
ejpam-5211	241	12	h	h	PROPN
ejpam-5211	241	13	n	n	PROPN
ejpam-5211	241	14	nagaraja	nagaraja	PROPN
ejpam-5211	241	15	.	.	PUNCT
ejpam-5211	242	1	a	a	DET
ejpam-5211	242	2	first	first	ADJ
ejpam-5211	242	3	course	course	NOUN
ejpam-5211	242	4	in	in	ADP
ejpam-5211	242	5	order	order	NOUN
ejpam-5211	242	6	statistics	statistic	NOUN
ejpam-5211	242	7	.	.	PUNCT
ejpam-5211	243	1	john	john	PROPN
ejpam-5211	243	2	wiley	wiley	PROPN
ejpam-5211	243	3	,	,	PUNCT
ejpam-5211	243	4	new	new	PROPN
ejpam-5211	243	5	york	york	PROPN
ejpam-5211	243	6	,	,	PUNCT
ejpam-5211	243	7	1992	1992	NUM
ejpam-5211	243	8	.	.	PUNCT
ejpam-5211	244	1	[	[	X
ejpam-5211	244	2	5	5	NUM
ejpam-5211	244	3	]	]	SYM
ejpam-5211	244	4	b	b	PROPN
ejpam-5211	244	5	c	c	PROPN
ejpam-5211	244	6	arnold	arnold	PROPN
ejpam-5211	244	7	,	,	PUNCT
ejpam-5211	244	8	n	n	X
ejpam-5211	244	9	balakrishnan	balakrishnan	NOUN
ejpam-5211	244	10	,	,	PUNCT
ejpam-5211	244	11	and	and	CCONJ
ejpam-5211	244	12	h	h	PROPN
ejpam-5211	244	13	n	n	PROPN
ejpam-5211	244	14	nagaraja	nagaraja	PROPN
ejpam-5211	244	15	.	.	PUNCT
ejpam-5211	245	1	a	a	DET
ejpam-5211	245	2	first	first	ADJ
ejpam-5211	245	3	course	course	NOUN
ejpam-5211	245	4	in	in	ADP
ejpam-5211	245	5	order	order	NOUN
ejpam-5211	245	6	statistics	statistic	NOUN
ejpam-5211	245	7	.	.	PUNCT
ejpam-5211	246	1	siam	siam	ADJ
ejpam-5211	246	2	publishers	publisher	NOUN
ejpam-5211	246	3	,	,	PUNCT
ejpam-5211	246	4	philadelphia	philadelphia	PROPN
ejpam-5211	246	5	,	,	PUNCT
ejpam-5211	246	6	usa	usa	PROPN
ejpam-5211	246	7	,	,	PUNCT
ejpam-5211	246	8	2008	2008	NUM
ejpam-5211	246	9	.	.	PUNCT
ejpam-5211	247	1	[	[	X
ejpam-5211	247	2	6	6	NUM
ejpam-5211	247	3	]	]	X
ejpam-5211	247	4	p	p	X
ejpam-5211	247	5	artzner	artzner	NOUN
ejpam-5211	247	6	.	.	PUNCT
ejpam-5211	248	1	application	application	NOUN
ejpam-5211	248	2	of	of	ADP
ejpam-5211	248	3	coherent	coherent	ADJ
ejpam-5211	248	4	risk	risk	NOUN
ejpam-5211	248	5	measures	measure	NOUN
ejpam-5211	248	6	to	to	ADP
ejpam-5211	248	7	capital	capital	NOUN
ejpam-5211	248	8	requirements	requirement	NOUN
ejpam-5211	248	9	in	in	ADP
ejpam-5211	248	10	insurance	insurance	NOUN
ejpam-5211	248	11	.	.	PUNCT
ejpam-5211	249	1	north	north	ADJ
ejpam-5211	249	2	american	american	ADJ
ejpam-5211	249	3	actuarial	actuarial	ADJ
ejpam-5211	249	4	journal	journal	NOUN
ejpam-5211	249	5	,	,	PUNCT
ejpam-5211	249	6	3(2):11–25	3(2):11–25	NUM
ejpam-5211	249	7	,	,	PUNCT
ejpam-5211	249	8	1999	1999	NUM
ejpam-5211	249	9	.	.	PUNCT
ejpam-5211	250	1	[	[	X
ejpam-5211	250	2	7	7	X
ejpam-5211	250	3	]	]	PUNCT
ejpam-5211	250	4	n	n	CCONJ
ejpam-5211	250	5	balakrishnan	balakrishnan	NOUN
ejpam-5211	250	6	and	and	CCONJ
ejpam-5211	250	7	h	h	PROPN
ejpam-5211	250	8	j	j	PROPN
ejpam-5211	250	9	malik	malik	PROPN
ejpam-5211	250	10	.	.	PUNCT
ejpam-5211	251	1	order	order	NOUN
ejpam-5211	251	2	statistics	statistic	NOUN
ejpam-5211	251	3	from	from	ADP
ejpam-5211	251	4	the	the	DET
ejpam-5211	251	5	linearexponential	linearexponential	ADJ
ejpam-5211	251	6	distribution	distribution	NOUN
ejpam-5211	251	7	,	,	PUNCT
ejpam-5211	251	8	part	part	NOUN
ejpam-5211	251	9	ii	ii	PROPN
ejpam-5211	251	10	:	:	PUNCT
ejpam-5211	251	11	increasing	increase	VERB
ejpam-5211	251	12	hazard	hazard	NOUN
ejpam-5211	251	13	rate	rate	NOUN
ejpam-5211	251	14	case	case	NOUN
ejpam-5211	251	15	.	.	PUNCT
ejpam-5211	252	1	communications	communication	NOUN
ejpam-5211	252	2	in	in	ADP
ejpam-5211	252	3	statistics	statistic	NOUN
ejpam-5211	252	4	theory	theory	NOUN
ejpam-5211	252	5	and	and	CCONJ
ejpam-5211	252	6	methods	method	NOUN
ejpam-5211	252	7	,	,	PUNCT
ejpam-5211	252	8	15:179–203	15:179–203	NUM
ejpam-5211	252	9	,	,	PUNCT
ejpam-5211	252	10	1986	1986	NUM
ejpam-5211	252	11	.	.	PUNCT
ejpam-5211	253	1	[	[	X
ejpam-5211	253	2	8	8	NUM
ejpam-5211	253	3	]	]	PUNCT
ejpam-5211	253	4	n	n	X
ejpam-5211	253	5	balakrishnan	balakrishnan	NOUN
ejpam-5211	253	6	,	,	PUNCT
ejpam-5211	253	7	h	h	PROPN
ejpam-5211	253	8	j	j	PROPN
ejpam-5211	253	9	malik	malik	PROPN
ejpam-5211	253	10	,	,	PUNCT
ejpam-5211	253	11	and	and	CCONJ
ejpam-5211	253	12	s	s	PROPN
ejpam-5211	253	13	e	e	PROPN
ejpam-5211	253	14	ahmad	ahmad	PROPN
ejpam-5211	253	15	.	.	PUNCT
ejpam-5211	254	1	recurrence	recurrence	NOUN
ejpam-5211	254	2	relations	relation	NOUN
ejpam-5211	254	3	and	and	CCONJ
ejpam-5211	254	4	identities	identity	NOUN
ejpam-5211	254	5	for	for	ADP
ejpam-5211	254	6	moments	moment	NOUN
ejpam-5211	254	7	of	of	ADP
ejpam-5211	254	8	order	order	NOUN
ejpam-5211	254	9	statistics	statistic	NOUN
ejpam-5211	254	10	,	,	PUNCT
ejpam-5211	254	11	part	part	PROPN
ejpam-5211	254	12	ii	ii	PROPN
ejpam-5211	254	13	:	:	PUNCT
ejpam-5211	254	14	specific	specific	ADJ
ejpam-5211	254	15	continuous	continuous	ADJ
ejpam-5211	254	16	distributions	distribution	NOUN
ejpam-5211	254	17	.	.	PUNCT
ejpam-5211	255	1	communications	communication	NOUN
ejpam-5211	255	2	in	in	ADP
ejpam-5211	255	3	statistics	statistic	NOUN
ejpam-5211	255	4	theory	theory	NOUN
ejpam-5211	255	5	and	and	CCONJ
ejpam-5211	255	6	methods	method	NOUN
ejpam-5211	255	7	,	,	PUNCT
ejpam-5211	255	8	17:2657–2694	17:2657–2694	NUM
ejpam-5211	255	9	,	,	PUNCT
ejpam-5211	255	10	1988	1988	NUM
ejpam-5211	255	11	.	.	PUNCT
ejpam-5211	256	1	[	[	X
ejpam-5211	256	2	9	9	NUM
ejpam-5211	256	3	]	]	X
ejpam-5211	256	4	a	a	DET
ejpam-5211	256	5	di	di	X
ejpam-5211	256	6	crescenzo	crescenzo	PROPN
ejpam-5211	256	7	and	and	CCONJ
ejpam-5211	256	8	m	m	PROPN
ejpam-5211	256	9	longobardi	longobardi	NOUN
ejpam-5211	256	10	.	.	PUNCT
ejpam-5211	257	1	on	on	ADP
ejpam-5211	257	2	cumulative	cumulative	ADJ
ejpam-5211	257	3	entropies	entropy	NOUN
ejpam-5211	257	4	.	.	PUNCT
ejpam-5211	258	1	journal	journal	NOUN
ejpam-5211	258	2	of	of	ADP
ejpam-5211	258	3	statistical	statistical	ADJ
ejpam-5211	258	4	and	and	CCONJ
ejpam-5211	258	5	planning	planning	NOUN
ejpam-5211	258	6	inference	inference	NOUN
ejpam-5211	258	7	,	,	PUNCT
ejpam-5211	258	8	139:4072–4087	139:4072–4087	NUM
ejpam-5211	258	9	,	,	PUNCT
ejpam-5211	258	10	2009	2009	NUM
ejpam-5211	258	11	.	.	PUNCT
ejpam-5211	259	1	[	[	X
ejpam-5211	259	2	10	10	NUM
ejpam-5211	259	3	]	]	X
ejpam-5211	259	4	h	h	NOUN
ejpam-5211	259	5	a	a	DET
ejpam-5211	259	6	david	david	PROPN
ejpam-5211	259	7	.	.	PUNCT
ejpam-5211	260	1	order	order	NOUN
ejpam-5211	260	2	statistics	statistic	NOUN
ejpam-5211	260	3	.	.	PUNCT
ejpam-5211	261	1	john	john	PROPN
ejpam-5211	261	2	wiley	wiley	PROPN
ejpam-5211	261	3	and	and	CCONJ
ejpam-5211	261	4	sons	son	NOUN
ejpam-5211	261	5	.	.	PUNCT
ejpam-5211	261	6	,	,	PUNCT
ejpam-5211	261	7	new	new	PROPN
ejpam-5211	261	8	york	york	PROPN
ejpam-5211	261	9	,	,	PUNCT
ejpam-5211	261	10	1981	1981	NUM
ejpam-5211	261	11	.	.	PUNCT
ejpam-5211	262	1	[	[	X
ejpam-5211	262	2	11	11	NUM
ejpam-5211	262	3	]	]	X
ejpam-5211	262	4	h	h	NOUN
ejpam-5211	262	5	a	a	DET
ejpam-5211	262	6	david	david	PROPN
ejpam-5211	262	7	and	and	CCONJ
ejpam-5211	262	8	h	h	PROPN
ejpam-5211	262	9	n	n	PROPN
ejpam-5211	262	10	nagaraja	nagaraja	PROPN
ejpam-5211	262	11	.	.	PUNCT
ejpam-5211	263	1	order	order	NOUN
ejpam-5211	263	2	statistics	statistic	NOUN
ejpam-5211	263	3	.	.	PUNCT
ejpam-5211	264	1	john	john	PROPN
ejpam-5211	264	2	wiley	wiley	PROPN
ejpam-5211	264	3	,	,	PUNCT
ejpam-5211	264	4	new	new	PROPN
ejpam-5211	264	5	york	york	PROPN
ejpam-5211	264	6	,	,	PUNCT
ejpam-5211	264	7	2003	2003	NUM
ejpam-5211	264	8	.	.	PUNCT
ejpam-5211	265	1	[	[	X
ejpam-5211	265	2	12	12	NUM
ejpam-5211	265	3	]	]	X
ejpam-5211	265	4	s	s	X
ejpam-5211	265	5	dey	dey	PROPN
ejpam-5211	265	6	,	,	PUNCT
ejpam-5211	265	7	e	e	X
ejpam-5211	265	8	raheem	raheem	NOUN
ejpam-5211	265	9	,	,	PUNCT
ejpam-5211	265	10	and	and	CCONJ
ejpam-5211	265	11	s	s	VERB
ejpam-5211	265	12	mukherjee	mukherjee	NOUN
ejpam-5211	265	13	.	.	PUNCT
ejpam-5211	266	1	statistical	statistical	ADJ
ejpam-5211	266	2	properties	property	NOUN
ejpam-5211	266	3	and	and	CCONJ
ejpam-5211	266	4	different	different	ADJ
ejpam-5211	266	5	methods	method	NOUN
ejpam-5211	266	6	of	of	ADP
ejpam-5211	266	7	estimation	estimation	NOUN
ejpam-5211	266	8	of	of	ADP
ejpam-5211	266	9	transmuted	transmuted	ADJ
ejpam-5211	266	10	rayleigh	rayleigh	NOUN
ejpam-5211	266	11	distribution	distribution	NOUN
ejpam-5211	266	12	.	.	PUNCT
ejpam-5211	267	1	revista	revista	PROPN
ejpam-5211	267	2	colombiana	colombiana	PROPN
ejpam-5211	267	3	de	de	PROPN
ejpam-5211	267	4	estadstica	estadstica	PROPN
ejpam-5211	267	5	,	,	PUNCT
ejpam-5211	267	6	40(1):165–203	40(1):165–203	NOUN
ejpam-5211	267	7	,	,	PUNCT
ejpam-5211	267	8	2017	2017	NUM
ejpam-5211	267	9	.	.	PUNCT
ejpam-5211	268	1	references	reference	NOUN
ejpam-5211	268	2	2194	2194	NUM
ejpam-5211	269	1	[	[	X
ejpam-5211	269	2	13	13	NUM
ejpam-5211	269	3	]	]	X
ejpam-5211	269	4	m	m	VERB
ejpam-5211	269	5	m	m	PROPN
ejpam-5211	269	6	mohie	mohie	PROPN
ejpam-5211	269	7	el	el	PROPN
ejpam-5211	269	8	-	-	PUNCT
ejpam-5211	269	9	din	din	PROPN
ejpam-5211	269	10	,	,	PUNCT
ejpam-5211	269	11	m	m	VERB
ejpam-5211	269	12	a	a	DET
ejpam-5211	269	13	w	w	NOUN
ejpam-5211	269	14	mahmoudyuk	mahmoudyuk	NOUN
ejpam-5211	269	15	,	,	PUNCT
ejpam-5211	269	16	and	and	CCONJ
ejpam-5211	269	17	s	s	PROPN
ejpam-5211	269	18	e	e	PROPN
ejpam-5211	269	19	abu	abu	PROPN
ejpam-5211	269	20	-	-	PUNCT
ejpam-5211	269	21	youssef	youssef	PROPN
ejpam-5211	269	22	.	.	PUNCT
ejpam-5211	270	1	moments	moment	NOUN
ejpam-5211	270	2	of	of	ADP
ejpam-5211	270	3	order	order	NOUN
ejpam-5211	270	4	statistics	statistic	NOUN
ejpam-5211	270	5	from	from	ADP
ejpam-5211	270	6	parabolic	parabolic	ADJ
ejpam-5211	270	7	and	and	CCONJ
ejpam-5211	270	8	skewed	skewed	ADJ
ejpam-5211	270	9	distributions	distribution	NOUN
ejpam-5211	270	10	and	and	CCONJ
ejpam-5211	270	11	characterization	characterization	NOUN
ejpam-5211	270	12	of	of	ADP
ejpam-5211	270	13	weibull	weibull	NOUN
ejpam-5211	270	14	distribution	distribution	NOUN
ejpam-5211	270	15	.	.	PUNCT
ejpam-5211	271	1	communications	communication	NOUN
ejpam-5211	271	2	in	in	ADP
ejpam-5211	271	3	statistics	statistic	NOUN
ejpam-5211	271	4	simulation	simulation	NOUN
ejpam-5211	271	5	and	and	CCONJ
ejpam-5211	271	6	computation	computation	NOUN
ejpam-5211	271	7	,	,	PUNCT
ejpam-5211	271	8	20(8):2087	20(8):2087	NUM
ejpam-5211	271	9	–	–	PUNCT
ejpam-5211	271	10	2099	2099	NUM
ejpam-5211	271	11	,	,	PUNCT
ejpam-5211	271	12	1991	1991	NUM
ejpam-5211	271	13	.	.	PUNCT
ejpam-5211	272	1	[	[	X
ejpam-5211	272	2	14	14	NUM
ejpam-5211	272	3	]	]	X
ejpam-5211	272	4	a	a	DET
ejpam-5211	272	5	g	g	PROPN
ejpam-5211	272	6	glen	glen	PROPN
ejpam-5211	272	7	,	,	PUNCT
ejpam-5211	272	8	l	l	PROPN
ejpam-5211	272	9	m	m	NOUN
ejpam-5211	272	10	lemis	lemis	NOUN
ejpam-5211	272	11	,	,	PUNCT
ejpam-5211	272	12	and	and	CCONJ
ejpam-5211	272	13	d	d	NOUN
ejpam-5211	272	14	r	r	NOUN
ejpam-5211	272	15	bar	bar	NOUN
ejpam-5211	272	16	.	.	PUNCT
ejpam-5211	273	1	order	order	NOUN
ejpam-5211	273	2	statistics	statistic	NOUN
ejpam-5211	273	3	in	in	ADP
ejpam-5211	273	4	goodnessoffit	goodnessoffit	PROPN
ejpam-5211	273	5	testing	testing	NOUN
ejpam-5211	273	6	.	.	PUNCT
ejpam-5211	274	1	ieee	ieee	NOUN
ejpam-5211	274	2	transactions	transaction	NOUN
ejpam-5211	274	3	and	and	CCONJ
ejpam-5211	274	4	reliability	reliability	NOUN
ejpam-5211	274	5	,	,	PUNCT
ejpam-5211	274	6	50:209–213	50:209–213	NUM
ejpam-5211	274	7	,	,	PUNCT
ejpam-5211	274	8	2001	2001	NUM
ejpam-5211	274	9	.	.	PUNCT
ejpam-5211	275	1	[	[	X
ejpam-5211	275	2	15	15	NUM
ejpam-5211	275	3	]	]	X
ejpam-5211	275	4	m	m	VERB
ejpam-5211	275	5	a	a	DET
ejpam-5211	275	6	haq	haq	NOUN
ejpam-5211	275	7	.	.	PUNCT
ejpam-5211	276	1	transmuted	transmute	VERB
ejpam-5211	276	2	exponentiated	exponentiated	ADJ
ejpam-5211	276	3	inverse	inverse	ADJ
ejpam-5211	276	4	rayleigh	rayleigh	NOUN
ejpam-5211	276	5	distribution	distribution	NOUN
ejpam-5211	276	6	.	.	PUNCT
ejpam-5211	277	1	journal	journal	PROPN
ejpam-5211	277	2	of	of	ADP
ejpam-5211	277	3	statistics	statistic	NOUN
ejpam-5211	277	4	applications	application	NOUN
ejpam-5211	277	5	and	and	CCONJ
ejpam-5211	277	6	probability	probability	NOUN
ejpam-5211	277	7	,	,	PUNCT
ejpam-5211	277	8	5(2):337–343	5(2):337–343	NUM
ejpam-5211	277	9	,	,	PUNCT
ejpam-5211	277	10	2016	2016	NUM
ejpam-5211	277	11	.	.	PUNCT
ejpam-5211	278	1	[	[	X
ejpam-5211	278	2	16	16	NUM
ejpam-5211	278	3	]	]	X
ejpam-5211	278	4	y	y	PROPN
ejpam-5211	278	5	a	a	PRON
ejpam-5211	278	6	s	s	X
ejpam-5211	278	7	hegazy	hegazy	ADJ
ejpam-5211	278	8	and	and	CCONJ
ejpam-5211	278	9	j	j	PROPN
ejpam-5211	278	10	r	r	NOUN
ejpam-5211	278	11	green	green	NOUN
ejpam-5211	278	12	.	.	PUNCT
ejpam-5211	279	1	some	some	DET
ejpam-5211	279	2	new	new	ADJ
ejpam-5211	279	3	goodness	goodness	NOUN
ejpam-5211	279	4	-	-	PUNCT
ejpam-5211	279	5	offit	offit	NOUN
ejpam-5211	279	6	tests	test	NOUN
ejpam-5211	279	7	using	use	VERB
ejpam-5211	279	8	order	order	NOUN
ejpam-5211	279	9	statistics	statistic	NOUN
ejpam-5211	279	10	.	.	PUNCT
ejpam-5211	280	1	journal	journal	PROPN
ejpam-5211	280	2	of	of	ADP
ejpam-5211	280	3	royal	royal	PROPN
ejpam-5211	280	4	statistical	statistical	ADJ
ejpam-5211	280	5	society	society	NOUN
ejpam-5211	280	6	series	series	PROPN
ejpam-5211	280	7	c	c	PROPN
ejpam-5211	280	8	,	,	PUNCT
ejpam-5211	280	9	24:299–308	24:299–308	PROPN
ejpam-5211	280	10	,	,	PUNCT
ejpam-5211	280	11	1975	1975	NUM
ejpam-5211	280	12	.	.	PUNCT
ejpam-5211	281	1	[	[	X
ejpam-5211	281	2	17	17	NUM
ejpam-5211	281	3	]	]	X
ejpam-5211	281	4	p	p	X
ejpam-5211	281	5	c	c	PROPN
ejpam-5211	281	6	joshi	joshi	PROPN
ejpam-5211	281	7	.	.	PUNCT
ejpam-5211	282	1	recurrence	recurrence	NOUN
ejpam-5211	282	2	relations	relation	NOUN
ejpam-5211	282	3	between	between	ADP
ejpam-5211	282	4	moments	moment	NOUN
ejpam-5211	282	5	of	of	ADP
ejpam-5211	282	6	order	order	NOUN
ejpam-5211	282	7	statistics	statistic	NOUN
ejpam-5211	282	8	from	from	ADP
ejpam-5211	282	9	exponential	exponential	ADJ
ejpam-5211	282	10	and	and	CCONJ
ejpam-5211	282	11	truncated	truncated	ADJ
ejpam-5211	282	12	exponential	exponential	ADJ
ejpam-5211	282	13	distributions	distribution	NOUN
ejpam-5211	282	14	.	.	PUNCT
ejpam-5211	283	1	sankhya	sankhya	PROPN
ejpam-5211	283	2	series	series	PROPN
ejpam-5211	283	3	b	b	PROPN
ejpam-5211	283	4	,	,	PUNCT
ejpam-5211	283	5	39:362–371	39:362–371	PROPN
ejpam-5211	283	6	,	,	PUNCT
ejpam-5211	283	7	1978	1978	NUM
ejpam-5211	283	8	.	.	PUNCT
ejpam-5211	284	1	[	[	X
ejpam-5211	284	2	18	18	NUM
ejpam-5211	284	3	]	]	X
ejpam-5211	284	4	m	m	VERB
ejpam-5211	284	5	i	i	NOUN
ejpam-5211	284	6	khan	khan	PROPN
ejpam-5211	284	7	.	.	PUNCT
ejpam-5211	285	1	dual	dual	ADJ
ejpam-5211	285	2	generalized	generalize	VERB
ejpam-5211	285	3	order	order	NOUN
ejpam-5211	285	4	statistics	statistic	NOUN
ejpam-5211	285	5	with	with	ADP
ejpam-5211	285	6	moments	moment	NOUN
ejpam-5211	285	7	properties	property	NOUN
ejpam-5211	285	8	using	use	VERB
ejpam-5211	285	9	powered	powered	ADJ
ejpam-5211	285	10	inverse	inverse	ADJ
ejpam-5211	285	11	rayleigh	rayleigh	NOUN
ejpam-5211	285	12	distribution	distribution	NOUN
ejpam-5211	285	13	.	.	PUNCT
ejpam-5211	286	1	journal	journal	NOUN
ejpam-5211	286	2	of	of	ADP
ejpam-5211	286	3	statistics	statistic	NOUN
ejpam-5211	286	4	and	and	CCONJ
ejpam-5211	286	5	management	management	NOUN
ejpam-5211	286	6	systems	system	NOUN
ejpam-5211	286	7	,	,	PUNCT
ejpam-5211	286	8	25:639	25:639	NUM
ejpam-5211	286	9	–	–	PUNCT
ejpam-5211	286	10	645	645	NUM
ejpam-5211	286	11	,	,	PUNCT
ejpam-5211	286	12	2022	2022	NUM
ejpam-5211	286	13	.	.	PUNCT
ejpam-5211	287	1	[	[	X
ejpam-5211	287	2	19	19	NUM
ejpam-5211	287	3	]	]	X
ejpam-5211	287	4	m	m	VERB
ejpam-5211	287	5	i	i	PRON
ejpam-5211	287	6	khan	khan	PROPN
ejpam-5211	287	7	and	and	CCONJ
ejpam-5211	287	8	a	a	DET
ejpam-5211	287	9	mustafa	mustafa	PROPN
ejpam-5211	287	10	.	.	PUNCT
ejpam-5211	288	1	powered	powered	ADJ
ejpam-5211	288	2	inverse	inverse	NOUN
ejpam-5211	288	3	rayleigh	rayleigh	NOUN
ejpam-5211	288	4	distribution	distribution	NOUN
ejpam-5211	288	5	using	use	VERB
ejpam-5211	288	6	dus	dus	PROPN
ejpam-5211	288	7	transformation	transformation	NOUN
ejpam-5211	288	8	.	.	PUNCT
ejpam-5211	289	1	international	international	ADJ
ejpam-5211	289	2	journal	journal	NOUN
ejpam-5211	289	3	of	of	ADP
ejpam-5211	289	4	analysis	analysis	NOUN
ejpam-5211	289	5	and	and	CCONJ
ejpam-5211	289	6	applications	application	NOUN
ejpam-5211	289	7	,	,	PUNCT
ejpam-5211	289	8	pages	page	NOUN
ejpam-5211	289	9	21–61	21–61	NUM
ejpam-5211	289	10	,	,	PUNCT
ejpam-5211	289	11	2023	2023	NUM
ejpam-5211	289	12	.	.	PUNCT
ejpam-5211	290	1	[	[	X
ejpam-5211	290	2	20	20	NUM
ejpam-5211	290	3	]	]	X
ejpam-5211	290	4	m	m	PROPN
ejpam-5211	290	5	s	s	X
ejpam-5211	290	6	khan	khan	PROPN
ejpam-5211	290	7	.	.	PUNCT
ejpam-5211	291	1	modified	modify	VERB
ejpam-5211	291	2	inverse	inverse	NOUN
ejpam-5211	291	3	rayleigh	rayleigh	NOUN
ejpam-5211	291	4	distribution	distribution	NOUN
ejpam-5211	291	5	.	.	PUNCT
ejpam-5211	292	1	international	international	ADJ
ejpam-5211	292	2	journal	journal	PROPN
ejpam-5211	292	3	of	of	ADP
ejpam-5211	292	4	computer	computer	NOUN
ejpam-5211	292	5	applications	application	NOUN
ejpam-5211	292	6	,	,	PUNCT
ejpam-5211	292	7	87(13):28–33	87(13):28–33	NOUN
ejpam-5211	292	8	,	,	PUNCT
ejpam-5211	292	9	2014	2014	NUM
ejpam-5211	292	10	.	.	PUNCT
ejpam-5211	293	1	[	[	X
ejpam-5211	293	2	21	21	NUM
ejpam-5211	293	3	]	]	X
ejpam-5211	293	4	m	m	PROPN
ejpam-5211	293	5	s	s	NOUN
ejpam-5211	293	6	khan	khan	PROPN
ejpam-5211	293	7	and	and	CCONJ
ejpam-5211	293	8	r	r	NOUN
ejpam-5211	293	9	king	king	NOUN
ejpam-5211	293	10	.	.	PUNCT
ejpam-5211	294	1	transmuted	transmute	VERB
ejpam-5211	294	2	modified	modified	ADJ
ejpam-5211	294	3	inverse	inverse	NOUN
ejpam-5211	294	4	rayleigh	rayleigh	NOUN
ejpam-5211	294	5	distribution	distribution	NOUN
ejpam-5211	294	6	.	.	PUNCT
ejpam-5211	295	1	austrian	austrian	ADJ
ejpam-5211	295	2	journal	journal	PROPN
ejpam-5211	295	3	of	of	ADP
ejpam-5211	295	4	statistics	statistic	NOUN
ejpam-5211	295	5	,	,	PUNCT
ejpam-5211	295	6	44(3):17–29	44(3):17–29	NUM
ejpam-5211	295	7	,	,	PUNCT
ejpam-5211	295	8	2015	2015	NUM
ejpam-5211	295	9	.	.	PUNCT
ejpam-5211	296	1	[	[	X
ejpam-5211	296	2	22	22	NUM
ejpam-5211	296	3	]	]	PUNCT
ejpam-5211	296	4	z.	z.	PROPN
ejpam-5211	296	5	landsman	landsman	PROPN
ejpam-5211	296	6	.	.	PUNCT
ejpam-5211	297	1	on	on	ADP
ejpam-5211	297	2	the	the	DET
ejpam-5211	297	3	tail	tail	NOUN
ejpam-5211	297	4	mean	mean	ADJ
ejpam-5211	297	5	-	-	PUNCT
ejpam-5211	297	6	variance	variance	NOUN
ejpam-5211	297	7	optimal	optimal	ADJ
ejpam-5211	297	8	portfolio	portfolio	NOUN
ejpam-5211	297	9	selection	selection	NOUN
ejpam-5211	297	10	.	.	PUNCT
ejpam-5211	298	1	insurance	insurance	NOUN
ejpam-5211	298	2	,	,	PUNCT
ejpam-5211	298	3	mathematics	mathematic	NOUN
ejpam-5211	298	4	and	and	CCONJ
ejpam-5211	298	5	economics	economic	NOUN
ejpam-5211	298	6	,	,	PUNCT
ejpam-5211	298	7	46(3):547–553	46(3):547–553	PROPN
ejpam-5211	298	8	,	,	PUNCT
ejpam-5211	298	9	2010	2010	NUM
ejpam-5211	298	10	.	.	PUNCT
ejpam-5211	299	1	[	[	X
ejpam-5211	299	2	23	23	NUM
ejpam-5211	299	3	]	]	X
ejpam-5211	299	4	f	f	PROPN
ejpam-5211	299	5	merovci	merovci	PROPN
ejpam-5211	299	6	.	.	PUNCT
ejpam-5211	300	1	transmuted	transmute	VERB
ejpam-5211	300	2	rayleigh	rayleigh	NOUN
ejpam-5211	300	3	distribution	distribution	NOUN
ejpam-5211	300	4	.	.	PUNCT
ejpam-5211	301	1	austrian	austrian	ADJ
ejpam-5211	301	2	journal	journal	PROPN
ejpam-5211	301	3	of	of	ADP
ejpam-5211	301	4	statistics	statistic	NOUN
ejpam-5211	301	5	,	,	PUNCT
ejpam-5211	301	6	42(1):21–31	42(1):21–31	NUM
ejpam-5211	301	7	,	,	PUNCT
ejpam-5211	301	8	2013	2013	NUM
ejpam-5211	301	9	.	.	PUNCT
ejpam-5211	302	1	[	[	X
ejpam-5211	302	2	24	24	NUM
ejpam-5211	302	3	]	]	PUNCT
ejpam-5211	302	4	a	a	DET
ejpam-5211	302	5	mustafa	mustafa	PROPN
ejpam-5211	302	6	and	and	CCONJ
ejpam-5211	302	7	m	m	PROPN
ejpam-5211	302	8	i	i	PROPN
ejpam-5211	302	9	khan	khan	PROPN
ejpam-5211	302	10	.	.	PUNCT
ejpam-5211	303	1	the	the	DET
ejpam-5211	303	2	lengthbiased	lengthbiase	VERB
ejpam-5211	303	3	powered	power	VERB
ejpam-5211	303	4	inverse	inverse	NOUN
ejpam-5211	303	5	rayleigh	rayleigh	NOUN
ejpam-5211	303	6	distribution	distribution	NOUN
ejpam-5211	303	7	with	with	ADP
ejpam-5211	303	8	applications	application	NOUN
ejpam-5211	303	9	.	.	PUNCT
ejpam-5211	304	1	journal	journal	NOUN
ejpam-5211	304	2	of	of	ADP
ejpam-5211	304	3	applied	apply	VERB
ejpam-5211	304	4	mathematics	mathematic	NOUN
ejpam-5211	304	5	and	and	CCONJ
ejpam-5211	304	6	informatics	informatic	NOUN
ejpam-5211	304	7	,	,	PUNCT
ejpam-5211	304	8	40(1	40(1	PROPN
ejpam-5211	304	9	-	-	PUNCT
ejpam-5211	304	10	2):1–13	2):1–13	PROPN
ejpam-5211	304	11	,	,	PUNCT
ejpam-5211	304	12	2022	2022	NUM
ejpam-5211	304	13	.	.	PUNCT
ejpam-5211	305	1	[	[	X
ejpam-5211	305	2	25	25	NUM
ejpam-5211	305	3	]	]	X
ejpam-5211	305	4	j	j	PROPN
ejpam-5211	305	5	m	m	PROPN
ejpam-5211	305	6	a	a	DET
ejpam-5211	305	7	nashaat	nashaat	PROPN
ejpam-5211	305	8	.	.	PUNCT
ejpam-5211	306	1	estimation	estimation	NOUN
ejpam-5211	306	2	of	of	ADP
ejpam-5211	306	3	two	two	NUM
ejpam-5211	306	4	parameter	parameter	NOUN
ejpam-5211	306	5	powered	power	VERB
ejpam-5211	306	6	inverse	inverse	NOUN
ejpam-5211	306	7	rayleigh	rayleigh	NOUN
ejpam-5211	306	8	distribution	distribution	NOUN
ejpam-5211	306	9	.	.	PUNCT
ejpam-5211	307	1	pakistan	pakistan	PROPN
ejpam-5211	307	2	journal	journal	PROPN
ejpam-5211	307	3	of	of	ADP
ejpam-5211	307	4	statistics	statistic	NOUN
ejpam-5211	307	5	,	,	PUNCT
ejpam-5211	307	6	36(2):117–133	36(2):117–133	NUM
ejpam-5211	307	7	,	,	PUNCT
ejpam-5211	307	8	2020	2020	NUM
ejpam-5211	307	9	.	.	PUNCT
ejpam-5211	308	1	[	[	X
ejpam-5211	308	2	26	26	NUM
ejpam-5211	308	3	]	]	X
ejpam-5211	308	4	h	h	NOUN
ejpam-5211	308	5	h	h	PROPN
ejpam-5211	308	6	panjer	panjer	PROPN
ejpam-5211	308	7	.	.	PUNCT
ejpam-5211	309	1	operational	operational	ADJ
ejpam-5211	309	2	risk	risk	NOUN
ejpam-5211	309	3	,	,	PUNCT
ejpam-5211	309	4	modeling	model	VERB
ejpam-5211	309	5	analytics	analytic	NOUN
ejpam-5211	309	6	.	.	PUNCT
ejpam-5211	310	1	wiley	wiley	PROPN
ejpam-5211	310	2	,	,	PUNCT
ejpam-5211	310	3	hoboken	hoboken	PROPN
ejpam-5211	310	4	(	(	PUNCT
ejpam-5211	310	5	nj	nj	PROPN
ejpam-5211	310	6	)	)	PUNCT
ejpam-5211	310	7	,	,	PUNCT
ejpam-5211	310	8	2006	2006	NUM
ejpam-5211	310	9	.	.	PUNCT
ejpam-5211	311	1	[	[	X
ejpam-5211	311	2	27	27	NUM
ejpam-5211	311	3	]	]	X
ejpam-5211	311	4	g	g	PROPN
ejpam-5211	311	5	s	s	PROPN
ejpam-5211	311	6	rao	rao	PROPN
ejpam-5211	311	7	and	and	CCONJ
ejpam-5211	311	8	s	s	NOUN
ejpam-5211	311	9	mbwambo	mbwambo	NOUN
ejpam-5211	311	10	.	.	PUNCT
ejpam-5211	312	1	exponentiated	exponentiate	VERB
ejpam-5211	312	2	inverse	inverse	NOUN
ejpam-5211	312	3	rayleigh	rayleigh	NOUN
ejpam-5211	312	4	distribution	distribution	NOUN
ejpam-5211	312	5	and	and	CCONJ
ejpam-5211	312	6	an	an	DET
ejpam-5211	312	7	application	application	NOUN
ejpam-5211	312	8	to	to	ADP
ejpam-5211	312	9	coating	coat	VERB
ejpam-5211	312	10	weights	weight	NOUN
ejpam-5211	312	11	of	of	ADP
ejpam-5211	312	12	iron	iron	NOUN
ejpam-5211	312	13	sheets	sheet	NOUN
ejpam-5211	312	14	data	datum	NOUN
ejpam-5211	312	15	.	.	PUNCT
ejpam-5211	313	1	journal	journal	PROPN
ejpam-5211	313	2	of	of	ADP
ejpam-5211	313	3	probability	probability	NOUN
ejpam-5211	313	4	and	and	CCONJ
ejpam-5211	313	5	statistics	statistic	NOUN
ejpam-5211	313	6	,	,	PUNCT
ejpam-5211	313	7	pages	page	NOUN
ejpam-5211	313	8	1–13	1–13	PROPN
ejpam-5211	313	9	,	,	PUNCT
ejpam-5211	313	10	2019	2019	NUM
ejpam-5211	313	11	.	.	PUNCT
ejpam-5211	314	1	references	reference	NOUN
ejpam-5211	314	2	2195	2195	NUM
ejpam-5211	314	3	[	[	X
ejpam-5211	314	4	28	28	NUM
ejpam-5211	314	5	]	]	X
ejpam-5211	314	6	p	p	PROPN
ejpam-5211	314	7	samuel	samuel	PROPN
ejpam-5211	314	8	and	and	CCONJ
ejpam-5211	314	9	p	p	PROPN
ejpam-5211	314	10	y	y	PROPN
ejpam-5211	314	11	thomas	thomas	PROPN
ejpam-5211	314	12	.	.	PUNCT
ejpam-5211	315	1	an	an	DET
ejpam-5211	315	2	improved	improved	ADJ
ejpam-5211	315	3	form	form	NOUN
ejpam-5211	315	4	of	of	ADP
ejpam-5211	315	5	a	a	DET
ejpam-5211	315	6	recurrence	recurrence	NOUN
ejpam-5211	315	7	relation	relation	NOUN
ejpam-5211	315	8	onthe	onthe	NOUN
ejpam-5211	315	9	product	product	NOUN
ejpam-5211	315	10	moments	moment	NOUN
ejpam-5211	315	11	of	of	ADP
ejpam-5211	315	12	order	order	NOUN
ejpam-5211	315	13	statistics	statistic	NOUN
ejpam-5211	315	14	.	.	PUNCT
ejpam-5211	316	1	communications	communication	NOUN
ejpam-5211	316	2	in	in	ADP
ejpam-5211	316	3	statistics	statistic	NOUN
ejpam-5211	316	4	-	-	PUNCT
ejpam-5211	316	5	theory	theory	NOUN
ejpam-5211	316	6	and	and	CCONJ
ejpam-5211	316	7	methods	method	NOUN
ejpam-5211	316	8	,	,	PUNCT
ejpam-5211	316	9	29(7):1559–1564	29(7):1559–1564	NUM
ejpam-5211	316	10	,	,	PUNCT
ejpam-5211	316	11	2000	2000	NUM
ejpam-5211	316	12	.	.	PUNCT
ejpam-5211	317	1	[	[	X
ejpam-5211	317	2	29	29	NUM
ejpam-5211	317	3	]	]	X
ejpam-5211	317	4	t	t	PROPN
ejpam-5211	317	5	n	n	PROPN
ejpam-5211	317	6	sindhua	sindhua	PROPN
ejpam-5211	317	7	,	,	PUNCT
ejpam-5211	317	8	m	m	VERB
ejpam-5211	317	9	aslam	aslam	PROPN
ejpam-5211	317	10	,	,	PUNCT
ejpam-5211	317	11	and	and	CCONJ
ejpam-5211	317	12	n	n	PRON
ejpam-5211	317	13	ferozeb	ferozeb	NOUN
ejpam-5211	317	14	.	.	PUNCT
ejpam-5211	318	1	bayes	bayes	PROPN
ejpam-5211	318	2	estimation	estimation	NOUN
ejpam-5211	318	3	of	of	ADP
ejpam-5211	318	4	the	the	DET
ejpam-5211	318	5	parameters	parameter	NOUN
ejpam-5211	318	6	of	of	ADP
ejpam-5211	318	7	the	the	DET
ejpam-5211	318	8	inverse	inverse	ADJ
ejpam-5211	318	9	rayleigh	rayleigh	NOUN
ejpam-5211	318	10	distribution	distribution	NOUN
ejpam-5211	318	11	for	for	ADP
ejpam-5211	318	12	left	left	ADJ
ejpam-5211	318	13	censored	censored	ADJ
ejpam-5211	318	14	data	datum	NOUN
ejpam-5211	318	15	.	.	PUNCT
ejpam-5211	319	1	probstat	probstat	PROPN
ejpam-5211	319	2	forum	forum	PROPN
ejpam-5211	319	3	,	,	PUNCT
ejpam-5211	319	4	6:42–59	6:42–59	NOUN
ejpam-5211	319	5	,	,	PUNCT
ejpam-5211	319	6	2013	2013	NUM
ejpam-5211	319	7	.	.	PUNCT
ejpam-5211	320	1	[	[	X
ejpam-5211	320	2	30	30	NUM
ejpam-5211	320	3	]	]	SYM
ejpam-5211	320	4	v	v	NOUN
ejpam-5211	320	5	n	n	PRON
ejpam-5211	320	6	trayer	trayer	NOUN
ejpam-5211	320	7	.	.	PUNCT
ejpam-5211	321	1	inverse	inverse	PROPN
ejpam-5211	321	2	rayleigh	rayleigh	PROPN
ejpam-5211	321	3	(	(	PUNCT
ejpam-5211	321	4	ir	ir	PROPN
ejpam-5211	321	5	)	)	PUNCT
ejpam-5211	321	6	model	model	NOUN
ejpam-5211	321	7	.	.	PUNCT
ejpam-5211	322	1	in	in	ADP
ejpam-5211	322	2	the	the	DET
ejpam-5211	322	3	academy	academy	NOUN
ejpam-5211	322	4	of	of	ADP
ejpam-5211	322	5	science	science	PROPN
ejpam-5211	322	6	,	,	PUNCT
ejpam-5211	322	7	dokladyakad	dokladyakad	NOUN
ejpam-5211	322	8	,	,	PUNCT
ejpam-5211	322	9	naukbelarus	naukbelarus	NOUN
ejpam-5211	322	10	.	.	PUNCT
ejpam-5211	323	1	u.s.s.r	u.s.s.r	PROPN
ejpam-5211	323	2	,	,	PUNCT
ejpam-5211	323	3	1964	1964	NUM
ejpam-5211	323	4	.	.	PUNCT
ejpam-5211	324	1	[	[	X
ejpam-5211	324	2	31	31	NUM
ejpam-5211	324	3	]	]	SYM
ejpam-5211	324	4	v	v	ADP
ejpam-5211	324	5	g	g	PROPN
ejpam-5211	324	6	voda	voda	PROPN
ejpam-5211	324	7	.	.	PUNCT
ejpam-5211	325	1	on	on	ADP
ejpam-5211	325	2	the	the	DET
ejpam-5211	325	3	inverse	inverse	NOUN
ejpam-5211	325	4	rayleigh	rayleigh	NOUN
ejpam-5211	325	5	distributed	distribute	VERB
ejpam-5211	325	6	random	random	ADJ
ejpam-5211	325	7	variable	variable	NOUN
ejpam-5211	325	8	.	.	PUNCT
ejpam-5211	326	1	reports	report	NOUN
ejpam-5211	326	2	of	of	ADP
ejpam-5211	326	3	statistical	statistical	ADJ
ejpam-5211	326	4	application	application	NOUN
ejpam-5211	326	5	research	research	NOUN
ejpam-5211	326	6	,	,	PUNCT
ejpam-5211	326	7	19(1):13–21	19(1):13–21	NUM
ejpam-5211	326	8	,	,	PUNCT
ejpam-5211	326	9	1972	1972	NUM
ejpam-5211	326	10	.	.	PUNCT