id	sid	tid	token	lemma	pos
ejpam-45	1	1	european	european	PROPN
ejpam-45	1	2	journal	journal	PROPN
ejpam-45	1	3	of	of	ADP
ejpam-45	1	4	pure	pure	ADJ
ejpam-45	1	5	and	and	CCONJ
ejpam-45	1	6	applied	apply	VERB
ejpam-45	1	7	mathematics	mathematic	NOUN
ejpam-45	1	8	vol	vol	NOUN
ejpam-45	1	9	.	.	PROPN
ejpam-45	2	1	1	1	NUM
ejpam-45	2	2	,	,	PUNCT
ejpam-45	2	3	no	no	INTJ
ejpam-45	2	4	.	.	NOUN
ejpam-45	2	5	4	4	NUM
ejpam-45	2	6	,	,	PUNCT
ejpam-45	2	7	2008	2008	NUM
ejpam-45	2	8	,	,	PUNCT
ejpam-45	2	9	(	(	PUNCT
ejpam-45	2	10	30	30	NUM
ejpam-45	2	11	-	-	SYM
ejpam-45	2	12	40	40	NUM
ejpam-45	2	13	)	)	PUNCT
ejpam-45	2	14	issn	issn	PROPN
ejpam-45	2	15	1307	1307	NUM
ejpam-45	2	16	-	-	SYM
ejpam-45	2	17	5543	5543	NUM
ejpam-45	2	18	–	–	PUNCT
ejpam-45	2	19	www.ejpam.com	www.ejpam.com	X
ejpam-45	2	20	generalized	generalize	VERB
ejpam-45	2	21	residual	residual	ADJ
ejpam-45	2	22	entropy	entropy	NOUN
ejpam-45	2	23	function	function	NOUN
ejpam-45	2	24	and	and	CCONJ
ejpam-45	2	25	its	its	PRON
ejpam-45	2	26	applications	application	NOUN
ejpam-45	2	27	mirza	mirza	PROPN
ejpam-45	2	28	abdul	abdul	PROPN
ejpam-45	2	29	khalique	khalique	PROPN
ejpam-45	2	30	baig1,∗	baig1,∗	NOUN
ejpam-45	2	31	,	,	PUNCT
ejpam-45	2	32	javid	javid	PROPN
ejpam-45	2	33	gani	gani	PROPN
ejpam-45	2	34	dar1	dar1	PROPN
ejpam-45	3	1	1	1	NUM
ejpam-45	3	2	p.	p.	NOUN
ejpam-45	3	3	g.	g.	PROPN
ejpam-45	3	4	department	department	PROPN
ejpam-45	3	5	of	of	ADP
ejpam-45	3	6	statistics	statistic	NOUN
ejpam-45	3	7	,	,	PUNCT
ejpam-45	3	8	university	university	PROPN
ejpam-45	3	9	of	of	ADP
ejpam-45	3	10	kashmir	kashmir	PROPN
ejpam-45	3	11	,	,	PUNCT
ejpam-45	3	12	srinagar	srinagar	NOUN
ejpam-45	3	13	190006	190006	NUM
ejpam-45	3	14	,	,	PUNCT
ejpam-45	3	15	india	india	PROPN
ejpam-45	3	16	abstract	abstract	PROPN
ejpam-45	3	17	.	.	PUNCT
ejpam-45	4	1	shannon	shannon	PROPN
ejpam-45	4	2	’s	’s	PART
ejpam-45	4	3	entropy	entropy	PROPN
ejpam-45	4	4	plays	play	VERB
ejpam-45	4	5	an	an	DET
ejpam-45	4	6	important	important	ADJ
ejpam-45	4	7	role	role	NOUN
ejpam-45	4	8	in	in	ADP
ejpam-45	4	9	the	the	DET
ejpam-45	4	10	context	context	NOUN
ejpam-45	4	11	of	of	ADP
ejpam-45	4	12	the	the	DET
ejpam-45	4	13	information	information	NOUN
ejpam-45	4	14	theorey	theorey	NOUN
ejpam-45	4	15	.	.	PUNCT
ejpam-45	5	1	since	since	SCONJ
ejpam-45	5	2	,	,	PUNCT
ejpam-45	5	3	this	this	DET
ejpam-45	5	4	entropy	entropy	NOUN
ejpam-45	5	5	is	be	AUX
ejpam-45	5	6	not	not	PART
ejpam-45	5	7	applicable	applicable	ADJ
ejpam-45	5	8	to	to	ADP
ejpam-45	5	9	a	a	DET
ejpam-45	5	10	system	system	NOUN
ejpam-45	5	11	which	which	PRON
ejpam-45	5	12	has	have	AUX
ejpam-45	5	13	survived	survive	VERB
ejpam-45	5	14	for	for	ADP
ejpam-45	5	15	some	some	DET
ejpam-45	5	16	unit	unit	NOUN
ejpam-45	5	17	of	of	ADP
ejpam-45	5	18	time	time	NOUN
ejpam-45	5	19	.	.	PUNCT
ejpam-45	6	1	so	so	ADV
ejpam-45	6	2	,	,	PUNCT
ejpam-45	6	3	the	the	DET
ejpam-45	6	4	concept	concept	NOUN
ejpam-45	6	5	of	of	ADP
ejpam-45	6	6	residual	residual	ADJ
ejpam-45	6	7	entropy	entropy	NOUN
ejpam-45	6	8	was	be	AUX
ejpam-45	6	9	developed	develop	VERB
ejpam-45	6	10	.	.	PUNCT
ejpam-45	7	1	in	in	ADP
ejpam-45	7	2	this	this	DET
ejpam-45	7	3	paper	paper	NOUN
ejpam-45	7	4	,	,	PUNCT
ejpam-45	7	5	we	we	PRON
ejpam-45	7	6	study	study	VERB
ejpam-45	7	7	generalized	generalized	ADJ
ejpam-45	7	8	information	information	NOUN
ejpam-45	7	9	measure	measure	NOUN
ejpam-45	7	10	for	for	ADP
ejpam-45	7	11	residual	residual	ADJ
ejpam-45	7	12	life	life	NOUN
ejpam-45	7	13	time	time	NOUN
ejpam-45	7	14	distributions	distribution	NOUN
ejpam-45	7	15	and	and	CCONJ
ejpam-45	7	16	characterize	characterize	VERB
ejpam-45	7	17	some	some	DET
ejpam-45	7	18	life	life	NOUN
ejpam-45	7	19	time	time	NOUN
ejpam-45	7	20	models	model	NOUN
ejpam-45	7	21	based	base	VERB
ejpam-45	7	22	on	on	ADP
ejpam-45	7	23	this	this	DET
ejpam-45	7	24	measure	measure	NOUN
ejpam-45	7	25	.	.	PUNCT
ejpam-45	8	1	also	also	ADV
ejpam-45	8	2	,	,	PUNCT
ejpam-45	8	3	a	a	DET
ejpam-45	8	4	new	new	ADJ
ejpam-45	8	5	classes	class	NOUN
ejpam-45	8	6	of	of	ADP
ejpam-45	8	7	life	life	NOUN
ejpam-45	8	8	time	time	NOUN
ejpam-45	8	9	distributions	distribution	NOUN
ejpam-45	8	10	are	be	AUX
ejpam-45	8	11	defined	define	VERB
ejpam-45	8	12	.	.	PUNCT
ejpam-45	9	1	ams	am	NOUN
ejpam-45	9	2	subject	subject	ADJ
ejpam-45	9	3	classifications	classification	NOUN
ejpam-45	9	4	:	:	PUNCT
ejpam-45	9	5	60e15	60e15	NUM
ejpam-45	9	6	,	,	PUNCT
ejpam-45	9	7	62n05	62n05	NUM
ejpam-45	9	8	,	,	PUNCT
ejpam-45	9	9	90b25	90b25	NOUN
ejpam-45	9	10	,	,	PUNCT
ejpam-45	9	11	94a17	94a17	NUM
ejpam-45	9	12	,	,	PUNCT
ejpam-45	9	13	94a24	94a24	NUM
ejpam-45	9	14	key	key	ADJ
ejpam-45	9	15	words	word	NOUN
ejpam-45	9	16	:	:	PUNCT
ejpam-45	9	17	varma	varma	PROPN
ejpam-45	9	18	’s	’s	PART
ejpam-45	9	19	entropy	entropy	PROPN
ejpam-45	9	20	function	function	NOUN
ejpam-45	9	21	,	,	PUNCT
ejpam-45	9	22	life	life	NOUN
ejpam-45	9	23	time	time	NOUN
ejpam-45	9	24	distributions	distribution	NOUN
ejpam-45	9	25	,	,	PUNCT
ejpam-45	9	26	residual	residual	ADJ
ejpam-45	9	27	entropy	entropy	NOUN
ejpam-45	9	28	.	.	PUNCT
ejpam-45	10	1	1	1	X
ejpam-45	10	2	.	.	X
ejpam-45	10	3	introduction	introduction	NOUN
ejpam-45	10	4	let	let	VERB
ejpam-45	10	5	t	t	PROPN
ejpam-45	10	6	be	be	AUX
ejpam-45	10	7	a	a	DET
ejpam-45	10	8	continuous	continuous	ADJ
ejpam-45	10	9	random	random	ADJ
ejpam-45	10	10	variable	variable	NOUN
ejpam-45	10	11	with	with	ADP
ejpam-45	10	12	probability	probability	NOUN
ejpam-45	10	13	density	density	NOUN
ejpam-45	10	14	function	function	NOUN
ejpam-45	10	15	f	f	PROPN
ejpam-45	10	16	(	(	PUNCT
ejpam-45	10	17	t	t	PROPN
ejpam-45	10	18	)	)	PUNCT
ejpam-45	10	19	,	,	PUNCT
ejpam-45	10	20	varma	varma	PROPN
ejpam-45	10	21	’s	’s	PART
ejpam-45	10	22	entropy	entropy	NOUN
ejpam-45	10	23	of	of	ADP
ejpam-45	10	24	order	order	NOUN
ejpam-45	10	25	α	α	NOUN
ejpam-45	10	26	and	and	CCONJ
ejpam-45	10	27	type	type	NOUN
ejpam-45	10	28	β	β	X
ejpam-45	10	29	is	be	AUX
ejpam-45	10	30	defined	define	VERB
ejpam-45	10	31	by	by	ADP
ejpam-45	10	32	hν(α	hν(α	NOUN
ejpam-45	10	33	,	,	PUNCT
ejpam-45	10	34	β	β	X
ejpam-45	10	35	)	)	PUNCT
ejpam-45	10	36	=	=	SYM
ejpam-45	11	1	1	1	NUM
ejpam-45	11	2	β	β	X
ejpam-45	11	3	−α	−α	NOUN
ejpam-45	11	4	log	log	VERB
ejpam-45	11	5	∫	∫	PROPN
ejpam-45	12	1	f	f	PROPN
ejpam-45	13	1	α+β−1(t)d	α+β−1(t)d	PROPN
ejpam-45	13	2	t	t	PROPN
ejpam-45	13	3	f	f	PROPN
ejpam-45	13	4	or	or	CCONJ
ejpam-45	13	5	β	β	ADJ
ejpam-45	13	6	−	−	NOUN
ejpam-45	13	7	1	1	NUM
ejpam-45	13	8	<	<	X
ejpam-45	13	9	α	α	X
ejpam-45	13	10	<	<	X
ejpam-45	13	11	β	β	X
ejpam-45	13	12	,	,	PUNCT
ejpam-45	13	13	β	β	X
ejpam-45	13	14	≥	≥	NUM
ejpam-45	13	15	1	1	NUM
ejpam-45	13	16	.	.	PUNCT
ejpam-45	14	1	(	(	PUNCT
ejpam-45	14	2	1.1	1.1	NUM
ejpam-45	14	3	)	)	PUNCT
ejpam-45	14	4	and	and	CCONJ
ejpam-45	14	5	in	in	ADP
ejpam-45	14	6	discrete	discrete	ADJ
ejpam-45	14	7	case	case	NOUN
ejpam-45	14	8	hν(α	hν(α	NOUN
ejpam-45	14	9	,	,	PUNCT
ejpam-45	14	10	β	β	X
ejpam-45	14	11	)	)	PUNCT
ejpam-45	14	12	=	=	SYM
ejpam-45	15	1	1	1	NUM
ejpam-45	15	2	β	β	X
ejpam-45	15	3	−α	−α	NOUN
ejpam-45	15	4	log	log	VERB
ejpam-45	15	5	n	n	ADV
ejpam-45	15	6	∑	∑	PUNCT
ejpam-45	15	7	k=1	k=1	PROPN
ejpam-45	15	8	pα+β−1	pα+β−1	VERB
ejpam-45	15	9	k	k	PROPN
ejpam-45	15	10	!	!	PUNCT
ejpam-45	16	1	f	f	PROPN
ejpam-45	16	2	or	or	CCONJ
ejpam-45	16	3	β	β	ADJ
ejpam-45	16	4	−	−	NOUN
ejpam-45	16	5	1	1	NUM
ejpam-45	16	6	<	<	X
ejpam-45	16	7	α	α	X
ejpam-45	16	8	<	<	X
ejpam-45	16	9	β	β	X
ejpam-45	16	10	,	,	PUNCT
ejpam-45	16	11	β	β	X
ejpam-45	16	12	≥	≥	NUM
ejpam-45	16	13	1	1	NUM
ejpam-45	16	14	.	.	PUNCT
ejpam-45	17	1	(	(	PUNCT
ejpam-45	17	2	1.2	1.2	NUM
ejpam-45	17	3	)	)	PUNCT
ejpam-45	17	4	also	also	ADV
ejpam-45	17	5	lim	lim	PROPN
ejpam-45	17	6	α→1,β=1	α→1,β=1	NOUN
ejpam-45	17	7	hν(α	hν(α	NOUN
ejpam-45	17	8	,	,	PUNCT
ejpam-45	17	9	β	β	X
ejpam-45	17	10	)	)	PUNCT
ejpam-45	18	1	=	=	NOUN
ejpam-45	18	2	−	−	PROPN
ejpam-45	18	3	∫	∫	PROPN
ejpam-45	18	4	f	f	PROPN
ejpam-45	18	5	(	(	PUNCT
ejpam-45	18	6	t	t	PROPN
ejpam-45	18	7	)	)	PUNCT
ejpam-45	18	8	log	log	NOUN
ejpam-45	18	9	f	f	PROPN
ejpam-45	18	10	(	(	PUNCT
ejpam-45	18	11	t)d	t)d	PROPN
ejpam-45	18	12	t	t	NOUN
ejpam-45	18	13	(	(	PUNCT
ejpam-45	18	14	1.3	1.3	NUM
ejpam-45	18	15	)	)	PUNCT
ejpam-45	18	16	and	and	CCONJ
ejpam-45	18	17	in	in	ADP
ejpam-45	18	18	discrete	discrete	ADJ
ejpam-45	18	19	case	case	NOUN
ejpam-45	18	20	lim	lim	PROPN
ejpam-45	18	21	α→1,β=1	α→1,β=1	NOUN
ejpam-45	18	22	hν(α	hν(α	NOUN
ejpam-45	18	23	,	,	PUNCT
ejpam-45	18	24	β	β	X
ejpam-45	18	25	)	)	PUNCT
ejpam-45	19	1	=	=	NOUN
ejpam-45	19	2	−	−	PROPN
ejpam-45	19	3	n	n	ADV
ejpam-45	19	4	∑	∑	NOUN
ejpam-45	19	5	k=1	k=1	PROPN
ejpam-45	19	6	pk	pk	NOUN
ejpam-45	19	7	log	log	PROPN
ejpam-45	19	8	pk	pk	PROPN
ejpam-45	19	9	(	(	PUNCT
ejpam-45	19	10	1.4	1.4	NUM
ejpam-45	19	11	)	)	PUNCT
ejpam-45	19	12	which	which	PRON
ejpam-45	19	13	is	be	AUX
ejpam-45	19	14	shannon	shannon	PROPN
ejpam-45	19	15	’s	’s	PART
ejpam-45	19	16	entropy	entropy	NOUN
ejpam-45	19	17	in	in	ADP
ejpam-45	19	18	both	both	CCONJ
ejpam-45	19	19	the	the	DET
ejpam-45	19	20	cases	case	NOUN
ejpam-45	19	21	.	.	PUNCT
ejpam-45	20	1	varma	varma	PROPN
ejpam-45	20	2	’s	’s	PART
ejpam-45	20	3	entropy	entropy	NOUN
ejpam-45	20	4	plays	play	VERB
ejpam-45	20	5	a	a	DET
ejpam-45	20	6	vital	vital	ADJ
ejpam-45	20	7	role	role	NOUN
ejpam-45	20	8	as	as	ADP
ejpam-45	20	9	a	a	DET
ejpam-45	20	10	measure	measure	NOUN
ejpam-45	20	11	of	of	ADP
ejpam-45	20	12	complexity	complexity	NOUN
ejpam-45	20	13	and	and	CCONJ
ejpam-45	20	14	uncertainty	uncertainty	NOUN
ejpam-45	20	15	in	in	ADP
ejpam-45	20	16	different	different	ADJ
ejpam-45	20	17	areas	area	NOUN
ejpam-45	20	18	such	such	ADJ
ejpam-45	20	19	as	as	ADP
ejpam-45	20	20	physics	physics	NOUN
ejpam-45	20	21	,	,	PUNCT
ejpam-45	20	22	electronics	electronic	NOUN
ejpam-45	20	23	and	and	CCONJ
ejpam-45	20	24	engineering	engineering	NOUN
ejpam-45	20	25	to	to	PART
ejpam-45	20	26	describe	describe	VERB
ejpam-45	20	27	many	many	ADJ
ejpam-45	20	28	chaotic	chaotic	ADJ
ejpam-45	20	29	systems	system	NOUN
ejpam-45	20	30	.	.	PUNCT
ejpam-45	21	1	∗corresponding	∗corresponde	VERB
ejpam-45	21	2	author	author	NOUN
ejpam-45	21	3	.	.	PUNCT
ejpam-45	22	1	email	email	NOUN
ejpam-45	22	2	addresses	address	NOUN
ejpam-45	22	3	:	:	PUNCT
ejpam-45	22	4	baigmak@yahoo.co.in	baigmak@yahoo.co.in	PROPN
ejpam-45	22	5	(	(	PUNCT
ejpam-45	22	6	m.	m.	NOUN
ejpam-45	22	7	a.	a.	PROPN
ejpam-45	22	8	k.	k.	PROPN
ejpam-45	22	9	baig	baig	PROPN
ejpam-45	22	10	)	)	PUNCT
ejpam-45	23	1	jvdevi@gmail.com	jvdevi@gmail.com	PROPN
ejpam-45	23	2	(	(	PUNCT
ejpam-45	23	3	j.devi	j.devi	PROPN
ejpam-45	23	4	)	)	PUNCT
ejpam-45	23	5	http://www.ejpam.com	http://www.ejpam.com	X
ejpam-45	24	1	30	30	NUM
ejpam-45	24	2	c	c	X
ejpam-45	24	3	©	©	NOUN
ejpam-45	24	4	2008	2008	NUM
ejpam-45	24	5	ejpam	ejpam	VERB
ejpam-45	24	6	all	all	DET
ejpam-45	24	7	rights	right	NOUN
ejpam-45	24	8	reserved	reserve	VERB
ejpam-45	24	9	.	.	PUNCT
ejpam-45	25	1	m.	m.	NOUN
ejpam-45	25	2	a.	a.	PROPN
ejpam-45	25	3	k.	k.	PROPN
ejpam-45	25	4	baig	baig	PROPN
ejpam-45	25	5	and	and	CCONJ
ejpam-45	25	6	j.	j.	PROPN
ejpam-45	25	7	d.	d.	PROPN
ejpam-45	25	8	gar	gar	PROPN
ejpam-45	25	9	/	/	SYM
ejpam-45	25	10	eur	eur	PROPN
ejpam-45	25	11	.	.	PUNCT
ejpam-45	26	1	j.	j.	PROPN
ejpam-45	26	2	pure	pure	PROPN
ejpam-45	26	3	appl	appl	PROPN
ejpam-45	26	4	.	.	PROPN
ejpam-45	26	5	math	math	PROPN
ejpam-45	26	6	,	,	PUNCT
ejpam-45	26	7	1	1	NUM
ejpam-45	26	8	(	(	PUNCT
ejpam-45	26	9	2008	2008	NUM
ejpam-45	26	10	)	)	PUNCT
ejpam-45	26	11	,	,	PUNCT
ejpam-45	26	12	(	(	PUNCT
ejpam-45	26	13	30	30	NUM
ejpam-45	26	14	-	-	SYM
ejpam-45	26	15	40	40	NUM
ejpam-45	26	16	)	)	PUNCT
ejpam-45	26	17	31	31	NUM
ejpam-45	26	18	as	as	SCONJ
ejpam-45	26	19	argued	argue	VERB
ejpam-45	26	20	by	by	ADP
ejpam-45	26	21	ebrahimi[4	ebrahimi[4	PRON
ejpam-45	26	22	]	]	PUNCT
ejpam-45	26	23	,	,	PUNCT
ejpam-45	26	24	if	if	SCONJ
ejpam-45	26	25	a	a	DET
ejpam-45	26	26	unit	unit	NOUN
ejpam-45	26	27	is	be	AUX
ejpam-45	26	28	known	know	VERB
ejpam-45	26	29	to	to	PART
ejpam-45	26	30	have	have	AUX
ejpam-45	26	31	survived	survive	VERB
ejpam-45	26	32	up	up	ADP
ejpam-45	26	33	to	to	ADP
ejpam-45	26	34	an	an	DET
ejpam-45	26	35	age	age	NOUN
ejpam-45	26	36	t	t	PROPN
ejpam-45	26	37	,	,	PUNCT
ejpam-45	26	38	then	then	ADV
ejpam-45	26	39	h(t	h(t	NUM
ejpam-45	26	40	)	)	PUNCT
ejpam-45	26	41	is	be	AUX
ejpam-45	26	42	no	no	ADV
ejpam-45	26	43	longer	long	ADV
ejpam-45	26	44	useful	useful	ADJ
ejpam-45	26	45	in	in	ADP
ejpam-45	26	46	measuring	measure	VERB
ejpam-45	26	47	the	the	DET
ejpam-45	26	48	uncertainty	uncertainty	NOUN
ejpam-45	26	49	about	about	ADP
ejpam-45	26	50	the	the	DET
ejpam-45	26	51	remaining	remain	VERB
ejpam-45	26	52	life	life	NOUN
ejpam-45	26	53	time	time	NOUN
ejpam-45	26	54	of	of	ADP
ejpam-45	26	55	the	the	DET
ejpam-45	26	56	unit	unit	NOUN
ejpam-45	26	57	.	.	PUNCT
ejpam-45	27	1	the	the	DET
ejpam-45	27	2	idea	idea	NOUN
ejpam-45	27	3	is	be	AUX
ejpam-45	27	4	that	that	SCONJ
ejpam-45	27	5	a	a	DET
ejpam-45	27	6	unit	unit	NOUN
ejpam-45	27	7	with	with	ADP
ejpam-45	27	8	great	great	ADJ
ejpam-45	27	9	uncertainty	uncertainty	NOUN
ejpam-45	27	10	is	be	AUX
ejpam-45	27	11	less	less	ADV
ejpam-45	27	12	reliable	reliable	ADJ
ejpam-45	27	13	than	than	ADP
ejpam-45	27	14	a	a	DET
ejpam-45	27	15	unit	unit	NOUN
ejpam-45	27	16	with	with	ADP
ejpam-45	27	17	low	low	ADJ
ejpam-45	27	18	uncertainty	uncertainty	NOUN
ejpam-45	27	19	.	.	PUNCT
ejpam-45	28	1	accordingly	accordingly	ADV
ejpam-45	28	2	,	,	PUNCT
ejpam-45	28	3	he	he	PRON
ejpam-45	28	4	introduced	introduce	VERB
ejpam-45	28	5	a	a	DET
ejpam-45	28	6	measure	measure	NOUN
ejpam-45	28	7	of	of	ADP
ejpam-45	28	8	uncertainty	uncertainty	NOUN
ejpam-45	28	9	known	know	VERB
ejpam-45	28	10	as	as	ADP
ejpam-45	28	11	residual	residual	ADJ
ejpam-45	28	12	entropy	entropy	NOUN
ejpam-45	28	13	for	for	ADP
ejpam-45	28	14	the	the	DET
ejpam-45	28	15	residual	residual	ADJ
ejpam-45	28	16	life	life	NOUN
ejpam-45	28	17	time	time	NOUN
ejpam-45	28	18	distribution	distribution	NOUN
ejpam-45	28	19	.	.	PUNCT
ejpam-45	29	1	the	the	DET
ejpam-45	29	2	residual	residual	ADJ
ejpam-45	29	3	entropy	entropy	NOUN
ejpam-45	29	4	of	of	ADP
ejpam-45	29	5	continuous	continuous	ADJ
ejpam-45	29	6	random	random	ADJ
ejpam-45	29	7	variable	variable	NOUN
ejpam-45	29	8	t	t	PROPN
ejpam-45	29	9	is	be	AUX
ejpam-45	29	10	defined	define	VERB
ejpam-45	29	11	as	as	ADP
ejpam-45	29	12	h(t	h(t	PROPN
ejpam-45	29	13	,	,	PUNCT
ejpam-45	29	14	t	t	NOUN
ejpam-45	29	15	)	)	PUNCT
ejpam-45	30	1	=	=	NOUN
ejpam-45	30	2	−	−	PROPN
ejpam-45	31	1	∫	∫	PROPN
ejpam-45	32	1	∞	∞	PROPN
ejpam-45	32	2	t	t	PROPN
ejpam-45	32	3	f	f	X
ejpam-45	32	4	(	(	PUNCT
ejpam-45	32	5	x	x	NOUN
ejpam-45	32	6	)	)	PUNCT
ejpam-45	32	7	r(t	r(t	NOUN
ejpam-45	32	8	)	)	PUNCT
ejpam-45	32	9	log	log	NOUN
ejpam-45	32	10	f	f	PROPN
ejpam-45	32	11	(	(	PUNCT
ejpam-45	32	12	x	x	NOUN
ejpam-45	32	13	)	)	PUNCT
ejpam-45	32	14	r(t	r(t	NOUN
ejpam-45	32	15	)	)	PUNCT
ejpam-45	33	1	d	d	X
ejpam-45	33	2	x	x	SYM
ejpam-45	33	3	(	(	PUNCT
ejpam-45	33	4	1.5	1.5	NUM
ejpam-45	33	5	)	)	PUNCT
ejpam-45	33	6	and	and	CCONJ
ejpam-45	33	7	in	in	ADP
ejpam-45	33	8	case	case	NOUN
ejpam-45	33	9	of	of	ADP
ejpam-45	33	10	discrete	discrete	ADJ
ejpam-45	33	11	random	random	ADJ
ejpam-45	33	12	variable	variable	NOUN
ejpam-45	33	13	h(t	h(t	PROPN
ejpam-45	33	14	j	j	PROPN
ejpam-45	33	15	)	)	PUNCT
ejpam-45	34	1	=	=	NOUN
ejpam-45	34	2	−	−	PROPN
ejpam-45	34	3	n	n	ADP
ejpam-45	34	4	∑	∑	PROPN
ejpam-45	34	5	k=	k=	PROPN
ejpam-45	34	6	j	j	PROPN
ejpam-45	34	7	p(tk	p(tk	PROPN
ejpam-45	34	8	)	)	PUNCT
ejpam-45	34	9	r(t	r(t	PROPN
ejpam-45	34	10	j	j	NOUN
ejpam-45	34	11	)	)	PUNCT
ejpam-45	34	12	log	log	PROPN
ejpam-45	34	13	p(tk	p(tk	NOUN
ejpam-45	34	14	)	)	PUNCT
ejpam-45	34	15	r(t	r(t	PROPN
ejpam-45	34	16	j	j	PROPN
ejpam-45	34	17	)	)	PUNCT
ejpam-45	34	18	(	(	PUNCT
ejpam-45	34	19	1.6	1.6	NUM
ejpam-45	34	20	)	)	PUNCT
ejpam-45	34	21	where	where	SCONJ
ejpam-45	34	22	r(t	r(t	NOUN
ejpam-45	34	23	)	)	PUNCT
ejpam-45	34	24	is	be	AUX
ejpam-45	34	25	the	the	DET
ejpam-45	34	26	reliability	reliability	NOUN
ejpam-45	34	27	function	function	NOUN
ejpam-45	34	28	of	of	ADP
ejpam-45	34	29	the	the	DET
ejpam-45	34	30	random	random	ADJ
ejpam-45	34	31	variable	variable	NOUN
ejpam-45	34	32	t.	t.	NOUN
ejpam-45	34	33	2	2	NUM
ejpam-45	34	34	.	.	PUNCT
ejpam-45	34	35	generalized	generalize	VERB
ejpam-45	34	36	residual	residual	ADJ
ejpam-45	34	37	entropy	entropy	NOUN
ejpam-45	34	38	function	function	NOUN
ejpam-45	34	39	:	:	PUNCT
ejpam-45	34	40	let	let	VERB
ejpam-45	34	41	t	t	NOUN
ejpam-45	34	42	be	be	AUX
ejpam-45	34	43	the	the	DET
ejpam-45	34	44	non	non	ADJ
ejpam-45	34	45	negative	negative	ADJ
ejpam-45	34	46	random	random	ADJ
ejpam-45	34	47	variable	variable	NOUN
ejpam-45	34	48	representing	represent	VERB
ejpam-45	34	49	component	component	NOUN
ejpam-45	34	50	failure	failure	NOUN
ejpam-45	34	51	time	time	NOUN
ejpam-45	34	52	with	with	ADP
ejpam-45	34	53	failure	failure	NOUN
ejpam-45	34	54	distribution	distribution	NOUN
ejpam-45	34	55	f(t	f(t	NOUN
ejpam-45	34	56	)	)	PUNCT
ejpam-45	34	57	=	=	SYM
ejpam-45	34	58	p(t	p(t	NOUN
ejpam-45	34	59	≤	≤	NUM
ejpam-45	34	60	t	t	PROPN
ejpam-45	34	61	)	)	PUNCT
ejpam-45	34	62	and	and	CCONJ
ejpam-45	34	63	survival	survival	NOUN
ejpam-45	34	64	function	function	NOUN
ejpam-45	34	65	r(t	r(t	NOUN
ejpam-45	34	66	)	)	PUNCT
ejpam-45	34	67	=	=	SYM
ejpam-45	34	68	1−	1−	NUM
ejpam-45	34	69	f(t	f(t	NOUN
ejpam-45	34	70	)	)	PUNCT
ejpam-45	34	71	with	with	ADP
ejpam-45	34	72	r(0	r(0	PROPN
ejpam-45	34	73	)	)	PUNCT
ejpam-45	34	74	=	=	NOUN
ejpam-45	35	1	1	1	X
ejpam-45	35	2	.	.	X
ejpam-45	36	1	we	we	PRON
ejpam-45	36	2	define	define	VERB
ejpam-45	36	3	varma	varma	PROPN
ejpam-45	36	4	’s	’s	PART
ejpam-45	36	5	entropy	entropy	NOUN
ejpam-45	36	6	for	for	ADP
ejpam-45	36	7	residual	residual	ADJ
ejpam-45	36	8	life	life	NOUN
ejpam-45	36	9	as	as	ADP
ejpam-45	36	10	hν(α	hν(α	NOUN
ejpam-45	36	11	,	,	PUNCT
ejpam-45	36	12	β	β	X
ejpam-45	36	13	,	,	PUNCT
ejpam-45	36	14	t	t	PROPN
ejpam-45	36	15	)	)	PUNCT
ejpam-45	36	16	=	=	SYM
ejpam-45	37	1	1	1	NUM
ejpam-45	37	2	β	β	X
ejpam-45	37	3	−α	−α	NOUN
ejpam-45	37	4	log	log	NOUN
ejpam-45	37	5			NOUN
ejpam-45	37	6			PROPN
ejpam-45	37	7	∫∞	∫∞	NOUN
ejpam-45	37	8	t	t	PROPN
ejpam-45	37	9	f	f	PROPN
ejpam-45	37	10	α+β−1(x	α+β−1(x	NOUN
ejpam-45	37	11	)	)	PUNCT
ejpam-45	37	12	rα+β−1(t	rα+β−1(t	VERB
ejpam-45	37	13	)	)	PUNCT
ejpam-45	38	1	d	d	NOUN
ejpam-45	38	2	x	x	SYM
ejpam-45	38	3			PROPN
ejpam-45	38	4			PUNCT
ejpam-45	38	5	,	,	PUNCT
ejpam-45	38	6	β	β	X
ejpam-45	38	7	−	−	NOUN
ejpam-45	38	8	1	1	NUM
ejpam-45	38	9	<	<	X
ejpam-45	38	10	α	α	X
ejpam-45	38	11	<	<	X
ejpam-45	38	12	β	β	X
ejpam-45	38	13	,	,	PUNCT
ejpam-45	38	14	β	β	X
ejpam-45	38	15	≥	≥	NUM
ejpam-45	38	16	1	1	NUM
ejpam-45	38	17	.	.	PUNCT
ejpam-45	38	18	(	(	PUNCT
ejpam-45	38	19	2.1	2.1	NUM
ejpam-45	38	20	)	)	PUNCT
ejpam-45	38	21	or	or	CCONJ
ejpam-45	38	22	(	(	PUNCT
ejpam-45	38	23	β	β	X
ejpam-45	38	24	−α)hν(α	−α)hν(α	X
ejpam-45	38	25	,	,	PUNCT
ejpam-45	38	26	β	β	X
ejpam-45	38	27	,	,	PUNCT
ejpam-45	38	28	t	t	PROPN
ejpam-45	38	29	)	)	PUNCT
ejpam-45	38	30	=	=	PRON
ejpam-45	39	1	log	log	PROPN
ejpam-45	39	2	�	�	PROPN
ejpam-45	39	3	∫	∫	PROPN
ejpam-45	40	1	∞	∞	PROPN
ejpam-45	40	2	t	t	PROPN
ejpam-45	40	3	f	f	PROPN
ejpam-45	40	4	α+β−1(x)d	α+β−1(x)d	PROPN
ejpam-45	40	5	x	x	SYM
ejpam-45	40	6	�	�	PROPN
ejpam-45	40	7	−	−	PROPN
ejpam-45	40	8	(	(	PUNCT
ejpam-45	40	9	α+	α+	X
ejpam-45	40	10	β	β	NOUN
ejpam-45	40	11	−	−	NOUN
ejpam-45	40	12	1	1	X
ejpam-45	40	13	)	)	PUNCT
ejpam-45	40	14	log	log	NOUN
ejpam-45	40	15	r(t	r(t	NOUN
ejpam-45	40	16	)	)	PUNCT
ejpam-45	40	17	,	,	PUNCT
ejpam-45	40	18	β	β	NOUN
ejpam-45	40	19	−	−	NOUN
ejpam-45	40	20	1	1	NUM
ejpam-45	40	21	<	<	X
ejpam-45	40	22	α	α	X
ejpam-45	40	23	<	<	X
ejpam-45	40	24	β	β	X
ejpam-45	40	25	,	,	PUNCT
ejpam-45	40	26	β	β	X
ejpam-45	40	27	≥	≥	NUM
ejpam-45	40	28	1	1	NUM
ejpam-45	40	29	.	.	PUNCT
ejpam-45	40	30	(	(	PUNCT
ejpam-45	40	31	2.2	2.2	NUM
ejpam-45	40	32	)	)	PUNCT
ejpam-45	40	33	for	for	ADP
ejpam-45	40	34	β	β	X
ejpam-45	40	35	=	=	SYM
ejpam-45	40	36	1	1	NUM
ejpam-45	40	37	,	,	PUNCT
ejpam-45	40	38	α→	α→	PROPN
ejpam-45	40	39	1	1	NUM
ejpam-45	40	40	,	,	PUNCT
ejpam-45	40	41	(	(	PUNCT
ejpam-45	40	42	7	7	X
ejpam-45	40	43	)	)	PUNCT
ejpam-45	40	44	reduces	reduce	VERB
ejpam-45	40	45	to	to	ADP
ejpam-45	40	46	(	(	PUNCT
ejpam-45	40	47	5	5	NUM
ejpam-45	40	48	)	)	PUNCT
ejpam-45	40	49	.	.	PUNCT
ejpam-45	41	1	we	we	PRON
ejpam-45	41	2	now	now	ADV
ejpam-45	41	3	show	show	VERB
ejpam-45	41	4	that	that	SCONJ
ejpam-45	41	5	hν(α	hν(α	PROPN
ejpam-45	41	6	,	,	PUNCT
ejpam-45	41	7	β	β	X
ejpam-45	41	8	,	,	PUNCT
ejpam-45	41	9	t	t	PROPN
ejpam-45	41	10	)	)	PUNCT
ejpam-45	41	11	uniquely	uniquely	ADV
ejpam-45	41	12	determines	determine	VERB
ejpam-45	41	13	the	the	DET
ejpam-45	41	14	r(t	r(t	NOUN
ejpam-45	41	15	)	)	PUNCT
ejpam-45	41	16	.	.	PUNCT
ejpam-45	42	1	theorem	theorem	VERB
ejpam-45	42	2	2.1	2.1	NUM
ejpam-45	42	3	:	:	PUNCT
ejpam-45	42	4	let	let	VERB
ejpam-45	42	5	t	t	PROPN
ejpam-45	42	6	be	be	AUX
ejpam-45	42	7	the	the	DET
ejpam-45	42	8	non	non	ADJ
ejpam-45	42	9	negative	negative	ADJ
ejpam-45	42	10	random	random	ADJ
ejpam-45	42	11	variable	variable	NOUN
ejpam-45	42	12	having	have	VERB
ejpam-45	42	13	continuous	continuous	ADJ
ejpam-45	42	14	density	density	NOUN
ejpam-45	42	15	function	function	NOUN
ejpam-45	42	16	f	f	NOUN
ejpam-45	42	17	and	and	CCONJ
ejpam-45	42	18	distribution	distribution	NOUN
ejpam-45	42	19	function	function	NOUN
ejpam-45	42	20	f	f	PROPN
ejpam-45	42	21	with	with	ADP
ejpam-45	42	22	survival	survival	NOUN
ejpam-45	42	23	function	function	NOUN
ejpam-45	42	24	r(t	r(t	NOUN
ejpam-45	42	25	)	)	PUNCT
ejpam-45	42	26	.	.	PUNCT
ejpam-45	43	1	assume	assume	VERB
ejpam-45	43	2	hν(α	hν(α	NOUN
ejpam-45	43	3	,	,	PUNCT
ejpam-45	43	4	β	β	X
ejpam-45	43	5	,	,	PUNCT
ejpam-45	43	6	t	t	PROPN
ejpam-45	43	7	)	)	PUNCT
ejpam-45	43	8	<	<	X
ejpam-45	44	1	∞	∞	PROPN
ejpam-45	44	2	,	,	PUNCT
ejpam-45	44	3	t	t	PROPN
ejpam-45	44	4	≥	≥	NOUN
ejpam-45	44	5	0,β	0,β	NUM
ejpam-45	44	6	−	−	NUM
ejpam-45	44	7	1	1	NUM
ejpam-45	44	8	<	<	X
ejpam-45	44	9	α	α	X
ejpam-45	44	10	<	<	X
ejpam-45	44	11	β	β	X
ejpam-45	44	12	,	,	PUNCT
ejpam-45	44	13	β	β	X
ejpam-45	44	14	≥	≥	NUM
ejpam-45	44	15	1	1	NUM
ejpam-45	44	16	and	and	CCONJ
ejpam-45	44	17	increasing	increase	VERB
ejpam-45	44	18	in	in	ADP
ejpam-45	44	19	t	t	PROPN
ejpam-45	44	20	,	,	PUNCT
ejpam-45	44	21	then	then	ADV
ejpam-45	44	22	hν(α	hν(α	NUM
ejpam-45	44	23	,	,	PUNCT
ejpam-45	44	24	β	β	X
ejpam-45	44	25	,	,	PUNCT
ejpam-45	44	26	t	t	PROPN
ejpam-45	44	27	)	)	PUNCT
ejpam-45	44	28	uniquely	uniquely	ADV
ejpam-45	44	29	determines	determine	VERB
ejpam-45	44	30	r(t	r(t	NOUN
ejpam-45	44	31	)	)	PUNCT
ejpam-45	44	32	.	.	PUNCT
ejpam-45	45	1	proof	proof	NOUN
ejpam-45	45	2	:	:	PUNCT
ejpam-45	45	3	differentiating	differentiate	VERB
ejpam-45	45	4	(	(	PUNCT
ejpam-45	45	5	8)	8)	NUM
ejpam-45	45	6	with	with	ADP
ejpam-45	45	7	respect	respect	NOUN
ejpam-45	45	8	to	to	ADP
ejpam-45	45	9	t	t	PROPN
ejpam-45	45	10	,	,	PUNCT
ejpam-45	45	11	we	we	PRON
ejpam-45	45	12	have	have	VERB
ejpam-45	45	13	(	(	PUNCT
ejpam-45	45	14	β	β	X
ejpam-45	45	15	−α)h	−α)h	NOUN
ejpam-45	45	16	′	′	NUM
ejpam-45	46	1	ν(α	ν(α	PROPN
ejpam-45	46	2	,	,	PUNCT
ejpam-45	46	3	β	β	PROPN
ejpam-45	46	4	,	,	PUNCT
ejpam-45	46	5	t	t	PROPN
ejpam-45	46	6	)	)	PUNCT
ejpam-45	46	7	=	=	SYM
ejpam-45	46	8	(	(	PUNCT
ejpam-45	46	9	α+	α+	X
ejpam-45	46	10	β	β	NOUN
ejpam-45	46	11	−	−	PROPN
ejpam-45	46	12	1)h(t)−	1)h(t)−	PROPN
ejpam-45	46	13	f	f	PROPN
ejpam-45	46	14	α+β−1(t	α+β−1(t	PROPN
ejpam-45	46	15	)	)	PUNCT
ejpam-45	46	16	∫∞	∫∞	PROPN
ejpam-45	47	1	t	t	PROPN
ejpam-45	47	2	f	f	PROPN
ejpam-45	47	3	α+β−1(x)d	α+β−1(x)d	PROPN
ejpam-45	47	4	x	x	SYM
ejpam-45	47	5	(	(	PUNCT
ejpam-45	47	6	2.3	2.3	NUM
ejpam-45	47	7	)	)	PUNCT
ejpam-45	47	8	where	where	SCONJ
ejpam-45	47	9	h(t	h(t	X
ejpam-45	47	10	)	)	PUNCT
ejpam-45	47	11	=	=	SYM
ejpam-45	47	12	f	f	PROPN
ejpam-45	47	13	(	(	PUNCT
ejpam-45	47	14	t	t	NOUN
ejpam-45	47	15	)	)	PUNCT
ejpam-45	47	16	r(t	r(t	NOUN
ejpam-45	47	17	)	)	PUNCT
ejpam-45	47	18	is	be	AUX
ejpam-45	47	19	the	the	DET
ejpam-45	47	20	failure	failure	NOUN
ejpam-45	47	21	rate	rate	NOUN
ejpam-45	47	22	function	function	NOUN
ejpam-45	47	23	.	.	PUNCT
ejpam-45	48	1	from	from	ADP
ejpam-45	48	2	(	(	PUNCT
ejpam-45	48	3	8)	8)	NUM
ejpam-45	48	4	and	and	CCONJ
ejpam-45	48	5	(	(	PUNCT
ejpam-45	48	6	9	9	NUM
ejpam-45	48	7	)	)	PUNCT
ejpam-45	48	8	,	,	PUNCT
ejpam-45	48	9	we	we	PRON
ejpam-45	48	10	have	have	AUX
ejpam-45	48	11	hα+β−1(t	hα+β−1(t	VERB
ejpam-45	48	12	)	)	PUNCT
ejpam-45	49	1	=	=	SYM
ejpam-45	50	1	(	(	PUNCT
ejpam-45	50	2	α+	α+	X
ejpam-45	50	3	β	β	X
ejpam-45	50	4	−	−	PROPN
ejpam-45	50	5	1)h(t)exp	1)h(t)exp	NUM
ejpam-45	50	6	�	�	PROPN
ejpam-45	50	7	(	(	PUNCT
ejpam-45	50	8	β	β	X
ejpam-45	50	9	−α)hν(α	−α)hν(α	X
ejpam-45	50	10	,	,	PUNCT
ejpam-45	50	11	β	β	X
ejpam-45	50	12	,	,	PUNCT
ejpam-45	50	13	t	t	PROPN
ejpam-45	50	14	)	)	PUNCT
ejpam-45	50	15	�	�	PROPN
ejpam-45	50	16	(	(	PUNCT
ejpam-45	50	17	2.4	2.4	NUM
ejpam-45	50	18	)	)	PUNCT
ejpam-45	50	19	−	−	PROPN
ejpam-45	50	20	(	(	PUNCT
ejpam-45	50	21	β	β	X
ejpam-45	50	22	−α)h	−α)h	NOUN
ejpam-45	50	23	′	′	NUM
ejpam-45	50	24	ν(α	ν(α	PROPN
ejpam-45	50	25	,	,	PUNCT
ejpam-45	50	26	β	β	X
ejpam-45	50	27	,	,	PUNCT
ejpam-45	50	28	t)exp((β	t)exp((β	PROPN
ejpam-45	50	29	−α)hν(α	−α)hν(α	PROPN
ejpam-45	50	30	,	,	PUNCT
ejpam-45	50	31	β	β	X
ejpam-45	50	32	,	,	PUNCT
ejpam-45	50	33	t	t	PROPN
ejpam-45	50	34	)	)	PUNCT
ejpam-45	50	35	)	)	PUNCT
ejpam-45	50	36	.	.	PUNCT
ejpam-45	51	1	m.	m.	NOUN
ejpam-45	51	2	a.	a.	PROPN
ejpam-45	51	3	k.	k.	PROPN
ejpam-45	51	4	baig	baig	PROPN
ejpam-45	51	5	and	and	CCONJ
ejpam-45	51	6	j.	j.	PROPN
ejpam-45	51	7	d.	d.	PROPN
ejpam-45	51	8	gar	gar	PROPN
ejpam-45	51	9	/	/	SYM
ejpam-45	51	10	eur	eur	PROPN
ejpam-45	51	11	.	.	PUNCT
ejpam-45	52	1	j.	j.	PROPN
ejpam-45	52	2	pure	pure	PROPN
ejpam-45	52	3	appl	appl	PROPN
ejpam-45	52	4	.	.	PROPN
ejpam-45	52	5	math	math	PROPN
ejpam-45	52	6	,	,	PUNCT
ejpam-45	52	7	1	1	NUM
ejpam-45	52	8	(	(	PUNCT
ejpam-45	52	9	2008	2008	NUM
ejpam-45	52	10	)	)	PUNCT
ejpam-45	52	11	,	,	PUNCT
ejpam-45	52	12	(	(	PUNCT
ejpam-45	52	13	30	30	NUM
ejpam-45	52	14	-	-	SYM
ejpam-45	52	15	40	40	NUM
ejpam-45	52	16	)	)	PUNCT
ejpam-45	52	17	32	32	NUM
ejpam-45	52	18	hence	hence	ADV
ejpam-45	52	19	for	for	ADP
ejpam-45	52	20	fixed	fix	VERB
ejpam-45	52	21	t	t	PROPN
ejpam-45	52	22	>	>	X
ejpam-45	52	23	0	0	NUM
ejpam-45	52	24	,	,	PUNCT
ejpam-45	52	25	h(t	h(t	PROPN
ejpam-45	52	26	)	)	PUNCT
ejpam-45	52	27	is	be	AUX
ejpam-45	52	28	a	a	DET
ejpam-45	52	29	solution	solution	NOUN
ejpam-45	52	30	of	of	ADP
ejpam-45	52	31	g(x	g(x	NOUN
ejpam-45	52	32	)	)	PUNCT
ejpam-45	53	1	=	=	SYM
ejpam-45	53	2	(	(	PUNCT
ejpam-45	53	3	x)α+β−1−	x)α+β−1−	X
ejpam-45	53	4	(	(	PUNCT
ejpam-45	53	5	α+	α+	X
ejpam-45	53	6	β	β	X
ejpam-45	53	7	−	−	NOUN
ejpam-45	53	8	1)x	1)x	NUM
ejpam-45	53	9	exp	exp	NOUN
ejpam-45	53	10	�	�	PROPN
ejpam-45	53	11	(	(	PUNCT
ejpam-45	53	12	β	β	X
ejpam-45	53	13	−α)hν(α	−α)hν(α	X
ejpam-45	53	14	,	,	PUNCT
ejpam-45	53	15	β	β	X
ejpam-45	53	16	,	,	PUNCT
ejpam-45	53	17	t	t	PROPN
ejpam-45	53	18	)	)	PUNCT
ejpam-45	53	19	�	�	PROPN
ejpam-45	53	20	(	(	PUNCT
ejpam-45	53	21	2.5	2.5	NUM
ejpam-45	53	22	)	)	PUNCT
ejpam-45	54	1	+	+	CCONJ
ejpam-45	54	2	(	(	PUNCT
ejpam-45	54	3	β	β	X
ejpam-45	54	4	−α)h	−α)h	NOUN
ejpam-45	54	5	′	′	NUM
ejpam-45	54	6	ν(α	ν(α	PROPN
ejpam-45	54	7	,	,	PUNCT
ejpam-45	54	8	β	β	X
ejpam-45	54	9	,	,	PUNCT
ejpam-45	54	10	t)exp	t)exp	PROPN
ejpam-45	54	11	�	�	PROPN
ejpam-45	54	12	(	(	PUNCT
ejpam-45	54	13	β	β	X
ejpam-45	54	14	−α)hν(α	−α)hν(α	X
ejpam-45	54	15	,	,	PUNCT
ejpam-45	54	16	β	β	X
ejpam-45	54	17	,	,	PUNCT
ejpam-45	54	18	t	t	PROPN
ejpam-45	54	19	)	)	PUNCT
ejpam-45	54	20	�	�	PROPN
ejpam-45	54	21	=	=	SYM
ejpam-45	54	22	0	0	X
ejpam-45	54	23	.	.	PUNCT
ejpam-45	54	24	differentiating	differentiate	VERB
ejpam-45	54	25	both	both	DET
ejpam-45	54	26	sides	side	NOUN
ejpam-45	54	27	with	with	ADP
ejpam-45	54	28	respect	respect	NOUN
ejpam-45	54	29	to	to	ADP
ejpam-45	54	30	x	x	SYM
ejpam-45	54	31	,	,	PUNCT
ejpam-45	54	32	we	we	PRON
ejpam-45	54	33	have	have	VERB
ejpam-45	54	34	g	g	PROPN
ejpam-45	54	35	′	′	NUM
ejpam-45	54	36	(	(	PUNCT
ejpam-45	54	37	x	x	X
ejpam-45	54	38	)	)	PUNCT
ejpam-45	54	39	=	=	SYM
ejpam-45	54	40	(	(	PUNCT
ejpam-45	54	41	α+	α+	X
ejpam-45	54	42	β	β	X
ejpam-45	54	43	−	−	PROPN
ejpam-45	55	1	1)(x)α+β−2−	1)(x)α+β−2−	NUM
ejpam-45	55	2	(	(	PUNCT
ejpam-45	55	3	α+	α+	X
ejpam-45	55	4	β	β	NOUN
ejpam-45	55	5	−	−	PROPN
ejpam-45	55	6	1)exp	1)exp	NUM
ejpam-45	55	7	�	�	PROPN
ejpam-45	55	8	(	(	PUNCT
ejpam-45	55	9	β	β	X
ejpam-45	55	10	−α)hν(α	−α)hν(α	X
ejpam-45	55	11	,	,	PUNCT
ejpam-45	55	12	β	β	X
ejpam-45	55	13	,	,	PUNCT
ejpam-45	55	14	t	t	PROPN
ejpam-45	55	15	)	)	PUNCT
ejpam-45	55	16	�	�	PROPN
ejpam-45	55	17	.	.	PUNCT
ejpam-45	56	1	(	(	PUNCT
ejpam-45	56	2	2.6	2.6	NUM
ejpam-45	56	3	)	)	PUNCT
ejpam-45	56	4	for	for	ADP
ejpam-45	56	5	extreme	extreme	ADJ
ejpam-45	56	6	value	value	NOUN
ejpam-45	56	7	of	of	ADP
ejpam-45	56	8	g(x	g(x	NOUN
ejpam-45	56	9	)	)	PUNCT
ejpam-45	56	10	,	,	PUNCT
ejpam-45	56	11	we	we	PRON
ejpam-45	56	12	have	have	VERB
ejpam-45	56	13	g	g	PROPN
ejpam-45	56	14	′	′	NUM
ejpam-45	56	15	(	(	PUNCT
ejpam-45	56	16	x	x	X
ejpam-45	56	17	)	)	PUNCT
ejpam-45	56	18	=	=	SYM
ejpam-45	56	19	0	0	NUM
ejpam-45	56	20	,	,	PUNCT
ejpam-45	56	21	which	which	PRON
ejpam-45	56	22	gives	give	VERB
ejpam-45	56	23	x	x	PUNCT
ejpam-45	56	24	=	=	PUNCT
ejpam-45	56	25	exp	exp	NOUN
ejpam-45	56	26	�	�	PROPN
ejpam-45	56	27	β	β	X
ejpam-45	56	28	−α	−α	PROPN
ejpam-45	56	29	α+	α+	X
ejpam-45	56	30	β	β	NOUN
ejpam-45	56	31	−	−	NOUN
ejpam-45	56	32	2	2	NUM
ejpam-45	56	33	hν(α	hν(α	X
ejpam-45	56	34	,	,	PUNCT
ejpam-45	56	35	β	β	X
ejpam-45	56	36	,	,	PUNCT
ejpam-45	56	37	t	t	PROPN
ejpam-45	56	38	)	)	PUNCT
ejpam-45	56	39	�	�	PROPN
ejpam-45	57	1	=	=	PUNCT
ejpam-45	57	2	x	x	SYM
ejpam-45	57	3	t	t	X
ejpam-45	57	4	also	also	ADV
ejpam-45	57	5	g	g	PROPN
ejpam-45	57	6	′′	′′	PROPN
ejpam-45	57	7	(	(	PUNCT
ejpam-45	57	8	x	x	X
ejpam-45	57	9	)	)	PUNCT
ejpam-45	57	10	=	=	SYM
ejpam-45	57	11	(	(	PUNCT
ejpam-45	57	12	α+	α+	X
ejpam-45	57	13	β	β	NOUN
ejpam-45	57	14	−	−	PROPN
ejpam-45	57	15	1)(α+	1)(α+	NUM
ejpam-45	57	16	β	β	NOUN
ejpam-45	57	17	−	−	NUM
ejpam-45	57	18	2)xα+β−3	2)xα+β−3	NUM
ejpam-45	57	19	case	case	NOUN
ejpam-45	57	20	i	i	PRON
ejpam-45	57	21	:	:	PUNCT
ejpam-45	57	22	let	let	VERB
ejpam-45	57	23	α+	α+	PRON
ejpam-45	57	24	β	β	X
ejpam-45	57	25	>	>	X
ejpam-45	57	26	2	2	NUM
ejpam-45	57	27	,	,	PUNCT
ejpam-45	57	28	then	then	ADV
ejpam-45	57	29	g	g	PROPN
ejpam-45	57	30	′′	′′	PROPN
ejpam-45	57	31	(	(	PUNCT
ejpam-45	57	32	x	x	PROPN
ejpam-45	57	33	t	t	PROPN
ejpam-45	57	34	)	)	PUNCT
ejpam-45	57	35	>	>	X
ejpam-45	58	1	0	0	X
ejpam-45	58	2	.	.	PUNCT
ejpam-45	59	1	thus	thus	ADV
ejpam-45	59	2	g(x	g(x	NOUN
ejpam-45	59	3	)	)	PUNCT
ejpam-45	59	4	attains	attain	VERB
ejpam-45	59	5	minimum	minimum	ADJ
ejpam-45	59	6	at	at	ADP
ejpam-45	59	7	x	x	PROPN
ejpam-45	59	8	t	t	PROPN
ejpam-45	59	9	.	.	PUNCT
ejpam-45	60	1	also	also	ADV
ejpam-45	60	2	,	,	PUNCT
ejpam-45	60	3	g(0	g(0	VERB
ejpam-45	60	4	>	>	X
ejpam-45	60	5	0	0	PROPN
ejpam-45	60	6	and	and	CCONJ
ejpam-45	60	7	g(∞	g(∞	NOUN
ejpam-45	60	8	)	)	PUNCT
ejpam-45	61	1	=	=	NOUN
ejpam-45	61	2	∞.	∞.	PROPN
ejpam-45	61	3	further	far	ADV
ejpam-45	61	4	,	,	PUNCT
ejpam-45	61	5	g(x	g(x	NOUN
ejpam-45	61	6	)	)	PUNCT
ejpam-45	61	7	decreases	decrease	VERB
ejpam-45	61	8	for	for	ADP
ejpam-45	61	9	0	0	NUM
ejpam-45	61	10	<	<	X
ejpam-45	61	11	x	x	X
ejpam-45	61	12	<	<	X
ejpam-45	61	13	x	x	X
ejpam-45	61	14	t	t	NOUN
ejpam-45	61	15	and	and	CCONJ
ejpam-45	61	16	hence	hence	ADV
ejpam-45	61	17	increases	increase	VERB
ejpam-45	61	18	for	for	ADP
ejpam-45	61	19	x	x	PUNCT
ejpam-45	61	20	>	>	X
ejpam-45	61	21	x	x	X
ejpam-45	61	22	t	t	PROPN
ejpam-45	61	23	.	.	PUNCT
ejpam-45	62	1	so	so	ADV
ejpam-45	62	2	,	,	PUNCT
ejpam-45	62	3	x	x	X
ejpam-45	62	4	=	=	SYM
ejpam-45	62	5	h(t	h(t	PROPN
ejpam-45	62	6	)	)	PUNCT
ejpam-45	62	7	is	be	AUX
ejpam-45	62	8	the	the	DET
ejpam-45	62	9	unique	unique	ADJ
ejpam-45	62	10	solution	solution	NOUN
ejpam-45	62	11	to	to	ADP
ejpam-45	62	12	g(x	g(x	NOUN
ejpam-45	62	13	)	)	PUNCT
ejpam-45	63	1	=	=	SYM
ejpam-45	63	2	0	0	X
ejpam-45	63	3	.	.	PUNCT
ejpam-45	63	4	case	case	NOUN
ejpam-45	63	5	ii	ii	PROPN
ejpam-45	63	6	:	:	PUNCT
ejpam-45	63	7	let	let	VERB
ejpam-45	63	8	α+β	α+β	NUM
ejpam-45	63	9	<	<	X
ejpam-45	63	10	2	2	NUM
ejpam-45	63	11	,	,	PUNCT
ejpam-45	63	12	then	then	ADV
ejpam-45	63	13	g	g	PROPN
ejpam-45	63	14	′′	′′	PROPN
ejpam-45	63	15	(	(	PUNCT
ejpam-45	63	16	x	x	PROPN
ejpam-45	63	17	t	t	PROPN
ejpam-45	63	18	)	)	PUNCT
ejpam-45	63	19	<	<	X
ejpam-45	63	20	0	0	NUM
ejpam-45	63	21	.	.	PUNCT
ejpam-45	64	1	thus	thus	ADV
ejpam-45	64	2	g(x	g(x	NOUN
ejpam-45	64	3	)	)	PUNCT
ejpam-45	64	4	attains	attain	VERB
ejpam-45	64	5	maximum	maximum	ADJ
ejpam-45	64	6	at	at	ADP
ejpam-45	64	7	x	x	PROPN
ejpam-45	64	8	t	t	PROPN
ejpam-45	64	9	.	.	PUNCT
ejpam-45	65	1	also	also	ADV
ejpam-45	65	2	,	,	PUNCT
ejpam-45	65	3	g(0	g(0	VERB
ejpam-45	65	4	>	>	X
ejpam-45	65	5	0	0	PROPN
ejpam-45	65	6	and	and	CCONJ
ejpam-45	65	7	g(∞	g(∞	NOUN
ejpam-45	65	8	)	)	PUNCT
ejpam-45	66	1	=	=	SYM
ejpam-45	66	2	−∞.	−∞.	ADJ
ejpam-45	66	3	further	far	ADV
ejpam-45	66	4	,	,	PUNCT
ejpam-45	66	5	it	it	PRON
ejpam-45	66	6	can	can	AUX
ejpam-45	66	7	be	be	AUX
ejpam-45	66	8	easily	easily	ADV
ejpam-45	66	9	seen	see	VERB
ejpam-45	66	10	that	that	SCONJ
ejpam-45	66	11	g(x	g(x	NOUN
ejpam-45	66	12	)	)	PUNCT
ejpam-45	66	13	decreases	decrease	VERB
ejpam-45	66	14	for	for	ADP
ejpam-45	66	15	x	x	PUNCT
ejpam-45	66	16	>	>	X
ejpam-45	66	17	x	x	SYM
ejpam-45	66	18	t	t	NOUN
ejpam-45	66	19	and	and	CCONJ
ejpam-45	66	20	increases	increase	NOUN
ejpam-45	66	21	for	for	ADP
ejpam-45	66	22	0	0	NUM
ejpam-45	66	23	<	<	X
ejpam-45	66	24	x	x	X
ejpam-45	66	25	<	<	X
ejpam-45	66	26	x	x	X
ejpam-45	66	27	t	t	NOUN
ejpam-45	66	28	.	.	PUNCT
ejpam-45	67	1	so	so	ADV
ejpam-45	67	2	,	,	PUNCT
ejpam-45	67	3	x	x	X
ejpam-45	67	4	=	=	SYM
ejpam-45	67	5	h(t	h(t	PROPN
ejpam-45	67	6	)	)	PUNCT
ejpam-45	67	7	is	be	AUX
ejpam-45	67	8	the	the	DET
ejpam-45	67	9	unique	unique	ADJ
ejpam-45	67	10	solution	solution	NOUN
ejpam-45	67	11	to	to	ADP
ejpam-45	67	12	g(x	g(x	NOUN
ejpam-45	67	13	)	)	PUNCT
ejpam-45	68	1	=	=	SYM
ejpam-45	68	2	0	0	X
ejpam-45	68	3	.	.	X
ejpam-45	68	4	remark	remark	PROPN
ejpam-45	68	5	:	:	PUNCT
ejpam-45	68	6	for	for	ADP
ejpam-45	68	7	β	β	X
ejpam-45	68	8	=	=	SYM
ejpam-45	68	9	1	1	NUM
ejpam-45	68	10	,	,	PUNCT
ejpam-45	68	11	x	x	X
ejpam-45	68	12	t	t	NOUN
ejpam-45	68	13	=	=	SYM
ejpam-45	68	14	exp(−hν(α	exp(−hν(α	PROPN
ejpam-45	68	15	,	,	PUNCT
ejpam-45	68	16	t	t	PROPN
ejpam-45	68	17	)	)	PUNCT
ejpam-45	68	18	)	)	PUNCT
ejpam-45	68	19	,	,	PUNCT
ejpam-45	68	20	which	which	PRON
ejpam-45	68	21	is	be	AUX
ejpam-45	68	22	given	give	VERB
ejpam-45	68	23	by	by	ADP
ejpam-45	68	24	baig	baig	PROPN
ejpam-45	68	25	and	and	CCONJ
ejpam-45	68	26	dar[2	dar[2	PROPN
ejpam-45	68	27	]	]	PUNCT
ejpam-45	68	28	.	.	PUNCT
ejpam-45	69	1	corollary	corollary	ADJ
ejpam-45	69	2	2.1	2.1	NUM
ejpam-45	69	3	:	:	PUNCT
ejpam-45	69	4	if	if	SCONJ
ejpam-45	69	5	hν(α	hν(α	NOUN
ejpam-45	69	6	,	,	PUNCT
ejpam-45	69	7	β	β	X
ejpam-45	69	8	,	,	PUNCT
ejpam-45	69	9	t	t	PROPN
ejpam-45	69	10	)	)	PUNCT
ejpam-45	69	11	is	be	AUX
ejpam-45	69	12	decreasing	decrease	VERB
ejpam-45	69	13	in	in	ADP
ejpam-45	69	14	t	t	PROPN
ejpam-45	69	15	,	,	PUNCT
ejpam-45	69	16	then	then	ADV
ejpam-45	69	17	(	(	PUNCT
ejpam-45	69	18	11	11	NUM
ejpam-45	69	19	)	)	PUNCT
ejpam-45	69	20	has	have	VERB
ejpam-45	69	21	a	a	DET
ejpam-45	69	22	unique	unique	ADJ
ejpam-45	69	23	solution	solution	NOUN
ejpam-45	69	24	if	if	SCONJ
ejpam-45	69	25	g(x	g(x	PROPN
ejpam-45	69	26	t	t	PROPN
ejpam-45	69	27	)	)	PUNCT
ejpam-45	69	28	=	=	SYM
ejpam-45	70	1	0	0	X
ejpam-45	70	2	.	.	PUNCT
ejpam-45	71	1	i.e	i.e	PRON
ejpam-45	71	2	,	,	PUNCT
ejpam-45	71	3	hν(α	hν(α	PROPN
ejpam-45	71	4	,	,	PUNCT
ejpam-45	71	5	β	β	X
ejpam-45	71	6	,	,	PUNCT
ejpam-45	71	7	t	t	PROPN
ejpam-45	71	8	)	)	PUNCT
ejpam-45	71	9	=	=	SYM
ejpam-45	71	10	(	(	PUNCT
ejpam-45	71	11	2−α−β	2−α−β	NOUN
ejpam-45	71	12	β−α	β−α	NOUN
ejpam-45	71	13	)	)	PUNCT
ejpam-45	72	1	log(b−	log(b−	PROPN
ejpam-45	72	2	t	t	PROPN
ejpam-45	72	3	)	)	PUNCT
ejpam-45	72	4	which	which	PRON
ejpam-45	72	5	is	be	AUX
ejpam-45	72	6	the	the	DET
ejpam-45	72	7	varma	varma	PROPN
ejpam-45	72	8	’s	’s	PART
ejpam-45	72	9	residual	residual	ADJ
ejpam-45	72	10	entropy	entropy	NOUN
ejpam-45	72	11	of	of	ADP
ejpam-45	72	12	order	order	NOUN
ejpam-45	72	13	α	α	NOUN
ejpam-45	72	14	and	and	CCONJ
ejpam-45	72	15	type	type	NOUN
ejpam-45	72	16	β	β	PROPN
ejpam-45	72	17	of	of	ADP
ejpam-45	72	18	the	the	DET
ejpam-45	72	19	uniform	uniform	ADJ
ejpam-45	72	20	distribution	distribution	NOUN
ejpam-45	72	21	over	over	ADP
ejpam-45	72	22	(	(	PUNCT
ejpam-45	72	23	a	a	DET
ejpam-45	72	24	,	,	PUNCT
ejpam-45	72	25	b	b	NOUN
ejpam-45	72	26	)	)	PUNCT
ejpam-45	72	27	.	.	PUNCT
ejpam-45	73	1	thus	thus	ADV
ejpam-45	73	2	the	the	DET
ejpam-45	73	3	uniform	uniform	ADJ
ejpam-45	73	4	distribution	distribution	NOUN
ejpam-45	73	5	can	can	AUX
ejpam-45	73	6	be	be	AUX
ejpam-45	73	7	characterized	characterize	VERB
ejpam-45	73	8	by	by	ADP
ejpam-45	73	9	decreasing	decrease	VERB
ejpam-45	73	10	varma	varma	PROPN
ejpam-45	73	11	’s	’s	PART
ejpam-45	73	12	residual	residual	ADJ
ejpam-45	73	13	entropy	entropy	NOUN
ejpam-45	73	14	hν(α	hν(α	PROPN
ejpam-45	73	15	,	,	PUNCT
ejpam-45	73	16	β	β	X
ejpam-45	73	17	,	,	PUNCT
ejpam-45	73	18	t	t	PROPN
ejpam-45	73	19	)	)	PUNCT
ejpam-45	73	20	=	=	SYM
ejpam-45	73	21	(	(	PUNCT
ejpam-45	73	22	2−α−β	2−α−β	NOUN
ejpam-45	73	23	β−α	β−α	NOUN
ejpam-45	73	24	)	)	PUNCT
ejpam-45	73	25	log(b−	log(b−	PROPN
ejpam-45	73	26	t	t	PROPN
ejpam-45	73	27	)	)	PUNCT
ejpam-45	73	28	.	.	PUNCT
ejpam-45	74	1	proof	proof	NOUN
ejpam-45	74	2	:	:	PUNCT
ejpam-45	74	3	hν(α	hν(α	PROPN
ejpam-45	74	4	,	,	PUNCT
ejpam-45	74	5	β	β	X
ejpam-45	74	6	,	,	PUNCT
ejpam-45	74	7	t	t	PROPN
ejpam-45	74	8	)	)	PUNCT
ejpam-45	74	9	=	=	SYM
ejpam-45	74	10	(	(	PUNCT
ejpam-45	74	11	2−α−β	2−α−β	NOUN
ejpam-45	74	12	β−α	β−α	NOUN
ejpam-45	74	13	)	)	PUNCT
ejpam-45	74	14	log(b−	log(b−	X
ejpam-45	74	15	t	t	PROPN
ejpam-45	74	16	)	)	PUNCT
ejpam-45	74	17	is	be	AUX
ejpam-45	74	18	the	the	DET
ejpam-45	74	19	varma	varma	PROPN
ejpam-45	74	20	’s	’s	PART
ejpam-45	74	21	residual	residual	ADJ
ejpam-45	74	22	entropy	entropy	NOUN
ejpam-45	74	23	of	of	ADP
ejpam-45	74	24	the	the	DET
ejpam-45	74	25	uniform	uniform	ADJ
ejpam-45	74	26	distribution	distribution	NOUN
ejpam-45	74	27	.	.	PUNCT
ejpam-45	75	1	by	by	ADP
ejpam-45	75	2	putting	put	VERB
ejpam-45	75	3	it	it	PRON
ejpam-45	75	4	in	in	ADP
ejpam-45	75	5	(	(	PUNCT
ejpam-45	75	6	11	11	NUM
ejpam-45	75	7	)	)	PUNCT
ejpam-45	75	8	,	,	PUNCT
ejpam-45	75	9	we	we	PRON
ejpam-45	75	10	have	have	VERB
ejpam-45	75	11	g(x	g(x	PROPN
ejpam-45	75	12	t	t	NOUN
ejpam-45	75	13	)	)	PUNCT
ejpam-45	75	14	=	=	SYM
ejpam-45	76	1	0	0	X
ejpam-45	76	2	.	.	PUNCT
ejpam-45	77	1	hence	hence	ADV
ejpam-45	77	2	hν(α	hν(α	NOUN
ejpam-45	77	3	,	,	PUNCT
ejpam-45	77	4	β	β	X
ejpam-45	77	5	,	,	PUNCT
ejpam-45	77	6	t	t	PROPN
ejpam-45	77	7	)	)	PUNCT
ejpam-45	77	8	=	=	SYM
ejpam-45	77	9	(	(	PUNCT
ejpam-45	77	10	2−α−β	2−α−β	NOUN
ejpam-45	77	11	β−α	β−α	NOUN
ejpam-45	77	12	)	)	PUNCT
ejpam-45	77	13	log(b	log(b	CCONJ
ejpam-45	77	14	−	−	PROPN
ejpam-45	77	15	t	t	PROPN
ejpam-45	77	16	)	)	PUNCT
ejpam-45	77	17	is	be	AUX
ejpam-45	77	18	the	the	DET
ejpam-45	77	19	unique	unique	ADJ
ejpam-45	77	20	solution	solution	NOUN
ejpam-45	77	21	to	to	ADP
ejpam-45	77	22	g(x	g(x	PROPN
ejpam-45	77	23	t	t	PROPN
ejpam-45	77	24	)	)	PUNCT
ejpam-45	77	25	=	=	SYM
ejpam-45	77	26	0	0	PROPN
ejpam-45	77	27	,	,	PUNCT
ejpam-45	77	28	which	which	PRON
ejpam-45	77	29	proves	prove	VERB
ejpam-45	77	30	the	the	DET
ejpam-45	77	31	theorem	theorem	PROPN
ejpam-45	77	32	.	.	PROPN
ejpam-45	77	33	remark	remark	PROPN
ejpam-45	77	34	:	:	PUNCT
ejpam-45	77	35	for	for	ADP
ejpam-45	77	36	β	β	X
ejpam-45	77	37	=	=	SYM
ejpam-45	77	38	1	1	NUM
ejpam-45	77	39	,	,	PUNCT
ejpam-45	77	40	hν(α	hν(α	X
ejpam-45	77	41	,	,	PUNCT
ejpam-45	77	42	t	t	PROPN
ejpam-45	77	43	)	)	PUNCT
ejpam-45	77	44	=	=	PUNCT
ejpam-45	78	1	log(b−	log(b−	NOUN
ejpam-45	78	2	t	t	PROPN
ejpam-45	78	3	)	)	PUNCT
ejpam-45	78	4	,	,	PUNCT
ejpam-45	78	5	which	which	PRON
ejpam-45	78	6	is	be	AUX
ejpam-45	78	7	given	give	VERB
ejpam-45	78	8	by	by	ADP
ejpam-45	78	9	baig	baig	PROPN
ejpam-45	78	10	and	and	CCONJ
ejpam-45	78	11	dar	dar	PROPN
ejpam-45	79	1	[	[	X
ejpam-45	79	2	2	2	NUM
ejpam-45	79	3	]	]	PUNCT
ejpam-45	79	4	.	.	PUNCT
ejpam-45	80	1	corollary	corollary	ADJ
ejpam-45	80	2	2.2	2.2	NUM
ejpam-45	80	3	:	:	PUNCT
ejpam-45	80	4	let	let	VERB
ejpam-45	80	5	t	t	NOUN
ejpam-45	80	6	be	be	AUX
ejpam-45	80	7	the	the	DET
ejpam-45	80	8	random	random	ADJ
ejpam-45	80	9	variable	variable	NOUN
ejpam-45	80	10	having	have	VERB
ejpam-45	80	11	varma	varma	PROPN
ejpam-45	80	12	’s	’s	PART
ejpam-45	80	13	entropy	entropy	NOUN
ejpam-45	80	14	of	of	ADP
ejpam-45	80	15	order	order	NOUN
ejpam-45	80	16	α	α	NOUN
ejpam-45	80	17	and	and	CCONJ
ejpam-45	80	18	type	type	NOUN
ejpam-45	80	19	β	β	NOUN
ejpam-45	80	20	with	with	ADP
ejpam-45	80	21	α+	α+	PRON
ejpam-45	80	22	β	β	X
ejpam-45	80	23	>	>	X
ejpam-45	80	24	2	2	NUM
ejpam-45	80	25	,	,	PUNCT
ejpam-45	80	26	be	be	AUX
ejpam-45	80	27	of	of	ADP
ejpam-45	80	28	the	the	DET
ejpam-45	80	29	form	form	NOUN
ejpam-45	80	30	hν(α	hν(α	NOUN
ejpam-45	80	31	,	,	PUNCT
ejpam-45	80	32	β	β	X
ejpam-45	80	33	,	,	PUNCT
ejpam-45	80	34	t	t	PROPN
ejpam-45	80	35	)	)	PUNCT
ejpam-45	80	36	=	=	SYM
ejpam-45	81	1	1	1	NUM
ejpam-45	81	2	β	β	X
ejpam-45	81	3	−α	−α	NOUN
ejpam-45	81	4	log(k)−	log(k)−	PROPN
ejpam-45	81	5	2−α−	2−α−	PROPN
ejpam-45	81	6	β	β	NOUN
ejpam-45	81	7	β	β	X
ejpam-45	81	8	−α	−α	NOUN
ejpam-45	81	9	log	log	VERB
ejpam-45	81	10	h(t	h(t	PROPN
ejpam-45	81	11	)	)	PUNCT
ejpam-45	81	12	(	(	PUNCT
ejpam-45	81	13	2.7	2.7	NUM
ejpam-45	81	14	)	)	PUNCT
ejpam-45	81	15	where	where	SCONJ
ejpam-45	81	16	h(t	h(t	PROPN
ejpam-45	81	17	)	)	PUNCT
ejpam-45	81	18	is	be	AUX
ejpam-45	81	19	the	the	DET
ejpam-45	81	20	failure	failure	NOUN
ejpam-45	81	21	rate	rate	NOUN
ejpam-45	81	22	function	function	NOUN
ejpam-45	81	23	of	of	ADP
ejpam-45	81	24	t	t	PROPN
ejpam-45	81	25	,	,	PUNCT
ejpam-45	81	26	then	then	ADV
ejpam-45	81	27	t	t	PROPN
ejpam-45	81	28	has	have	VERB
ejpam-45	81	29	i.	i.	NOUN
ejpam-45	81	30	exponential	exponential	ADJ
ejpam-45	81	31	distribution	distribution	NOUN
ejpam-45	81	32	iff	iff	PROPN
ejpam-45	81	33	k	k	PROPN
ejpam-45	81	34	=	=	PROPN
ejpam-45	81	35	1	1	NUM
ejpam-45	81	36	α+β−1	α+β−1	PROPN
ejpam-45	81	37	ii	ii	NOUN
ejpam-45	81	38	.	.	PUNCT
ejpam-45	82	1	pareto	pareto	ADJ
ejpam-45	82	2	distribution	distribution	NOUN
ejpam-45	82	3	iff	iff	PROPN
ejpam-45	82	4	k	k	PROPN
ejpam-45	82	5	<	<	X
ejpam-45	82	6	1	1	NUM
ejpam-45	82	7	α+β−1	α+β−1	PROPN
ejpam-45	82	8	m.	m.	NOUN
ejpam-45	82	9	a.	a.	PROPN
ejpam-45	82	10	k.	k.	PROPN
ejpam-45	82	11	baig	baig	PROPN
ejpam-45	82	12	and	and	CCONJ
ejpam-45	82	13	j.	j.	PROPN
ejpam-45	82	14	d.	d.	PROPN
ejpam-45	82	15	gar	gar	PROPN
ejpam-45	82	16	/	/	SYM
ejpam-45	82	17	eur	eur	PROPN
ejpam-45	82	18	.	.	PUNCT
ejpam-45	83	1	j.	j.	PROPN
ejpam-45	83	2	pure	pure	PROPN
ejpam-45	83	3	appl	appl	PROPN
ejpam-45	83	4	.	.	PROPN
ejpam-45	83	5	math	math	PROPN
ejpam-45	83	6	,	,	PUNCT
ejpam-45	83	7	1	1	NUM
ejpam-45	83	8	(	(	PUNCT
ejpam-45	83	9	2008	2008	NUM
ejpam-45	83	10	)	)	PUNCT
ejpam-45	83	11	,	,	PUNCT
ejpam-45	83	12	(	(	PUNCT
ejpam-45	83	13	30	30	NUM
ejpam-45	83	14	-	-	SYM
ejpam-45	83	15	40	40	NUM
ejpam-45	83	16	)	)	PUNCT
ejpam-45	83	17	33	33	NUM
ejpam-45	83	18	iii	iii	NOUN
ejpam-45	83	19	.	.	PUNCT
ejpam-45	84	1	finite	finite	PROPN
ejpam-45	84	2	range	range	NOUN
ejpam-45	84	3	distribution	distribution	NOUN
ejpam-45	84	4	iff	iff	PROPN
ejpam-45	84	5	k	k	PROPN
ejpam-45	84	6	>	>	X
ejpam-45	84	7	1	1	NUM
ejpam-45	84	8	α+β−1	α+β−1	NUM
ejpam-45	84	9	proof	proof	NOUN
ejpam-45	84	10	:	:	PUNCT
ejpam-45	84	11	(	(	PUNCT
ejpam-45	84	12	i	i	NOUN
ejpam-45	84	13	)	)	PUNCT
ejpam-45	84	14	let	let	VERB
ejpam-45	84	15	t	t	NOUN
ejpam-45	84	16	has	have	VERB
ejpam-45	84	17	exponential	exponential	ADJ
ejpam-45	84	18	distribution	distribution	NOUN
ejpam-45	84	19	with	with	ADP
ejpam-45	84	20	probability	probability	NOUN
ejpam-45	84	21	distribution	distribution	NOUN
ejpam-45	84	22	function	function	NOUN
ejpam-45	84	23	f	f	PROPN
ejpam-45	84	24	(	(	PUNCT
ejpam-45	84	25	t	t	PROPN
ejpam-45	84	26	)	)	PUNCT
ejpam-45	84	27	=	=	SYM
ejpam-45	84	28	1	1	NUM
ejpam-45	84	29	θ	θ	PROPN
ejpam-45	84	30	exp	exp	NOUN
ejpam-45	84	31	�	�	PROPN
ejpam-45	84	32	−	−	PROPN
ejpam-45	84	33	t	t	PROPN
ejpam-45	84	34	θ	θ	PROPN
ejpam-45	84	35	�	�	PROPN
ejpam-45	84	36	,	,	PUNCT
ejpam-45	84	37	t	t	X
ejpam-45	84	38	>	>	X
ejpam-45	84	39	0,θ	0,θ	PROPN
ejpam-45	84	40	>	>	X
ejpam-45	84	41	0	0	PUNCT
ejpam-45	85	1	the	the	DET
ejpam-45	85	2	reliability	reliability	NOUN
ejpam-45	85	3	function	function	NOUN
ejpam-45	85	4	is	be	AUX
ejpam-45	85	5	given	give	VERB
ejpam-45	85	6	by	by	ADP
ejpam-45	85	7	r(t	r(t	NOUN
ejpam-45	85	8	)	)	PUNCT
ejpam-45	85	9	=	=	SYM
ejpam-45	85	10	exp	exp	NOUN
ejpam-45	85	11	�	�	PROPN
ejpam-45	85	12	−	−	PROPN
ejpam-45	85	13	t	t	PROPN
ejpam-45	85	14	θ	θ	PROPN
ejpam-45	85	15	�	�	PROPN
ejpam-45	85	16	the	the	DET
ejpam-45	85	17	failure	failure	NOUN
ejpam-45	85	18	rate	rate	NOUN
ejpam-45	85	19	function	function	NOUN
ejpam-45	85	20	is	be	AUX
ejpam-45	85	21	h(t	h(t	PRON
ejpam-45	85	22	)	)	PUNCT
ejpam-45	86	1	=	=	SYM
ejpam-45	86	2	1	1	NUM
ejpam-45	86	3	θ	θ	NOUN
ejpam-45	86	4	therefore	therefore	ADV
ejpam-45	86	5	hν(α	hν(α	PROPN
ejpam-45	86	6	,	,	PUNCT
ejpam-45	86	7	β	β	X
ejpam-45	86	8	,	,	PUNCT
ejpam-45	86	9	t	t	PROPN
ejpam-45	86	10	)	)	PUNCT
ejpam-45	86	11	=	=	SYM
ejpam-45	87	1	1	1	NUM
ejpam-45	87	2	β	β	X
ejpam-45	87	3	−α	−α	NOUN
ejpam-45	87	4	log	log	NOUN
ejpam-45	87	5			NOUN
ejpam-45	87	6			PROPN
ejpam-45	87	7	∫∞	∫∞	NOUN
ejpam-45	87	8	t	t	PROPN
ejpam-45	87	9	f	f	PROPN
ejpam-45	87	10	α+β−1(x	α+β−1(x	NOUN
ejpam-45	87	11	)	)	PUNCT
ejpam-45	87	12	rα+β−1(t	rα+β−1(t	VERB
ejpam-45	87	13	)	)	PUNCT
ejpam-45	88	1	d	d	NOUN
ejpam-45	88	2	x	x	SYM
ejpam-45	88	3			PROPN
ejpam-45	88	4			PUNCT
ejpam-45	88	5	,	,	PUNCT
ejpam-45	88	6	β	β	X
ejpam-45	88	7	−	−	NOUN
ejpam-45	88	8	1	1	NUM
ejpam-45	88	9	<	<	X
ejpam-45	88	10	α	α	X
ejpam-45	88	11	<	<	X
ejpam-45	88	12	β	β	X
ejpam-45	88	13	,	,	PUNCT
ejpam-45	88	14	β	β	X
ejpam-45	88	15	≥	≥	NUM
ejpam-45	88	16	1	1	NUM
ejpam-45	88	17	or	or	CCONJ
ejpam-45	88	18	hν(α	hν(α	NOUN
ejpam-45	88	19	,	,	PUNCT
ejpam-45	88	20	β	β	X
ejpam-45	88	21	,	,	PUNCT
ejpam-45	88	22	t	t	PROPN
ejpam-45	88	23	)	)	PUNCT
ejpam-45	88	24	=	=	SYM
ejpam-45	88	25	1	1	NUM
ejpam-45	88	26	β	β	X
ejpam-45	88	27	−α	−α	NOUN
ejpam-45	88	28	log(k)−	log(k)−	PROPN
ejpam-45	88	29	2−α−	2−α−	PROPN
ejpam-45	88	30	β	β	NOUN
ejpam-45	88	31	β	β	X
ejpam-45	88	32	−α	−α	NOUN
ejpam-45	88	33	log	log	VERB
ejpam-45	88	34	h(t	h(t	PROPN
ejpam-45	88	35	)	)	PUNCT
ejpam-45	89	1	where	where	SCONJ
ejpam-45	89	2	k	k	NOUN
ejpam-45	89	3	=	=	NOUN
ejpam-45	89	4	1	1	NUM
ejpam-45	89	5	α+β−1	α+β−1	NUM
ejpam-45	89	6	,	,	PUNCT
ejpam-45	89	7	h(t	h(t	PROPN
ejpam-45	89	8	)	)	PUNCT
ejpam-45	89	9	=	=	SYM
ejpam-45	89	10	1	1	NUM
ejpam-45	89	11	θ	θ	NOUN
ejpam-45	89	12	thus	thus	ADV
ejpam-45	89	13	(	(	PUNCT
ejpam-45	89	14	13	13	NUM
ejpam-45	89	15	)	)	PUNCT
ejpam-45	89	16	holds	hold	VERB
ejpam-45	89	17	.	.	PUNCT
ejpam-45	90	1	conversely	conversely	ADV
ejpam-45	90	2	,	,	PUNCT
ejpam-45	90	3	suppose	suppose	VERB
ejpam-45	90	4	k	k	X
ejpam-45	90	5	=	=	SYM
ejpam-45	90	6	1	1	NUM
ejpam-45	90	7	α+β−1	α+β−1	NUM
ejpam-45	90	8	1	1	NUM
ejpam-45	90	9	β	β	X
ejpam-45	90	10	−α	−α	NOUN
ejpam-45	90	11	log(k)−	log(k)−	PROPN
ejpam-45	90	12	2−α−	2−α−	PROPN
ejpam-45	90	13	β	β	NOUN
ejpam-45	90	14	β	β	X
ejpam-45	90	15	−α	−α	NOUN
ejpam-45	90	16	log	log	VERB
ejpam-45	90	17	h(t	h(t	PRON
ejpam-45	90	18	)	)	PUNCT
ejpam-45	90	19	=	=	SYM
ejpam-45	91	1	1	1	NUM
ejpam-45	91	2	β	β	X
ejpam-45	91	3	−α	−α	NOUN
ejpam-45	91	4	log	log	NOUN
ejpam-45	91	5			NOUN
ejpam-45	91	6			PROPN
ejpam-45	91	7	∫∞	∫∞	NOUN
ejpam-45	91	8	t	t	PROPN
ejpam-45	91	9	f	f	PROPN
ejpam-45	91	10	α+β−1(x	α+β−1(x	NOUN
ejpam-45	91	11	)	)	PUNCT
ejpam-45	91	12	rα+β−1(t	rα+β−1(t	VERB
ejpam-45	91	13	)	)	PUNCT
ejpam-45	92	1	d	d	NOUN
ejpam-45	92	2	x	x	SYM
ejpam-45	92	3			PROPN
ejpam-45	92	4			PROPN
ejpam-45	93	1	or	or	CCONJ
ejpam-45	93	2	∫	∫	PROPN
ejpam-45	93	3	∞	∞	PROPN
ejpam-45	93	4	t	t	PROPN
ejpam-45	93	5	f	f	PROPN
ejpam-45	93	6	α+β−1(x)d	α+β−1(x)d	PROPN
ejpam-45	93	7	x	x	PUNCT
ejpam-45	93	8	=	=	SYM
ejpam-45	93	9	rα+β−1(t)exp	rα+β−1(t)exp	PROPN
ejpam-45	93	10	�	�	PROPN
ejpam-45	93	11	log(k)−	log(k)−	PROPN
ejpam-45	93	12	(	(	PUNCT
ejpam-45	93	13	2−α−	2−α−	PROPN
ejpam-45	93	14	β)log	β)log	PUNCT
ejpam-45	93	15	h(t	h(t	NUM
ejpam-45	93	16	)	)	PUNCT
ejpam-45	93	17	�	�	PROPN
ejpam-45	93	18	differentiating	differentiate	VERB
ejpam-45	93	19	both	both	DET
ejpam-45	93	20	sides	side	NOUN
ejpam-45	93	21	with	with	ADP
ejpam-45	93	22	respect	respect	NOUN
ejpam-45	93	23	to	to	ADP
ejpam-45	93	24	t	t	PROPN
ejpam-45	93	25	,	,	PUNCT
ejpam-45	93	26	we	we	PRON
ejpam-45	93	27	have	have	VERB
ejpam-45	93	28	h2(t	h2(t	NOUN
ejpam-45	93	29	)	)	PUNCT
ejpam-45	93	30	h′(t	h′(t	NOUN
ejpam-45	93	31	)	)	PUNCT
ejpam-45	94	1	=	=	SYM
ejpam-45	94	2	k(2−α−	k(2−α−	NOUN
ejpam-45	94	3	β	β	X
ejpam-45	94	4	)	)	PUNCT
ejpam-45	94	5	1−	1−	NUM
ejpam-45	94	6	k(α+	k(α+	NOUN
ejpam-45	94	7	β	β	NOUN
ejpam-45	94	8	−	−	NOUN
ejpam-45	94	9	1	1	X
ejpam-45	94	10	)	)	PUNCT
ejpam-45	94	11	m.	m.	NOUN
ejpam-45	94	12	a.	a.	PROPN
ejpam-45	94	13	k.	k.	PROPN
ejpam-45	94	14	baig	baig	PROPN
ejpam-45	94	15	and	and	CCONJ
ejpam-45	94	16	j.	j.	PROPN
ejpam-45	94	17	d.	d.	PROPN
ejpam-45	94	18	gar	gar	PROPN
ejpam-45	94	19	/	/	SYM
ejpam-45	94	20	eur	eur	PROPN
ejpam-45	94	21	.	.	PUNCT
ejpam-45	95	1	j.	j.	PROPN
ejpam-45	95	2	pure	pure	PROPN
ejpam-45	95	3	appl	appl	PROPN
ejpam-45	95	4	.	.	PROPN
ejpam-45	95	5	math	math	PROPN
ejpam-45	95	6	,	,	PUNCT
ejpam-45	95	7	1	1	NUM
ejpam-45	95	8	(	(	PUNCT
ejpam-45	95	9	2008	2008	NUM
ejpam-45	95	10	)	)	PUNCT
ejpam-45	95	11	,	,	PUNCT
ejpam-45	95	12	(	(	PUNCT
ejpam-45	95	13	30	30	NUM
ejpam-45	95	14	-	-	SYM
ejpam-45	95	15	40	40	NUM
ejpam-45	95	16	)	)	PUNCT
ejpam-45	95	17	34	34	NUM
ejpam-45	95	18	or	or	CCONJ
ejpam-45	95	19	h−2(t)h	h−2(t)h	PROPN
ejpam-45	95	20	′	′	NUM
ejpam-45	95	21	(	(	PUNCT
ejpam-45	95	22	t	t	NOUN
ejpam-45	95	23	)	)	PUNCT
ejpam-45	95	24	=	=	SYM
ejpam-45	96	1	1−	1−	NUM
ejpam-45	96	2	k(α+	k(α+	NOUN
ejpam-45	96	3	β	β	NOUN
ejpam-45	96	4	−	−	NOUN
ejpam-45	96	5	1	1	X
ejpam-45	96	6	)	)	PUNCT
ejpam-45	96	7	k(2−α−	k(2−α−	PROPN
ejpam-45	96	8	β	β	NOUN
ejpam-45	96	9	)	)	PUNCT
ejpam-45	96	10	or	or	CCONJ
ejpam-45	96	11	h(t	h(t	PROPN
ejpam-45	96	12	)	)	PUNCT
ejpam-45	96	13	=	=	SYM
ejpam-45	96	14	�	�	PROPN
ejpam-45	96	15	1−	1−	NUM
ejpam-45	96	16	k(α+	k(α+	NOUN
ejpam-45	96	17	β	β	NOUN
ejpam-45	96	18	−	−	NOUN
ejpam-45	96	19	1	1	X
ejpam-45	96	20	)	)	PUNCT
ejpam-45	96	21	k(α+	k(α+	PROPN
ejpam-45	96	22	β	β	NOUN
ejpam-45	96	23	−	−	PROPN
ejpam-45	96	24	2	2	X
ejpam-45	96	25	)	)	PUNCT
ejpam-45	96	26	t	t	NOUN
ejpam-45	96	27	+	+	CCONJ
ejpam-45	96	28	1	1	NUM
ejpam-45	96	29	h(0	h(0	PROPN
ejpam-45	96	30	)	)	PUNCT
ejpam-45	96	31	�	�	PROPN
ejpam-45	96	32	−1	−1	NOUN
ejpam-45	96	33	=	=	PUNCT
ejpam-45	96	34	(	(	PUNCT
ejpam-45	96	35	at	at	ADP
ejpam-45	96	36	+	+	ADJ
ejpam-45	96	37	b)−1	b)−1	NOUN
ejpam-45	96	38	(	(	PUNCT
ejpam-45	96	39	2.8	2.8	NUM
ejpam-45	96	40	)	)	PUNCT
ejpam-45	96	41	where	where	SCONJ
ejpam-45	96	42	a	a	DET
ejpam-45	96	43	=	=	PUNCT
ejpam-45	96	44	1−k(α+β−1	1−k(α+β−1	NUM
ejpam-45	96	45	)	)	PUNCT
ejpam-45	96	46	k(α+β−2	k(α+β−2	NOUN
ejpam-45	96	47	)	)	PUNCT
ejpam-45	96	48	and	and	CCONJ
ejpam-45	96	49	b	b	X
ejpam-45	96	50	=	=	SYM
ejpam-45	96	51	1	1	NUM
ejpam-45	96	52	h(0	h(0	PROPN
ejpam-45	96	53	)	)	PUNCT
ejpam-45	96	54	.	.	PUNCT
ejpam-45	97	1	now	now	ADV
ejpam-45	97	2	k	k	X
ejpam-45	97	3	=	=	SYM
ejpam-45	97	4	1	1	NUM
ejpam-45	97	5	α+β−1	α+β−1	NUM
ejpam-45	97	6	,	,	PUNCT
ejpam-45	97	7	therefore	therefore	ADV
ejpam-45	97	8	a	a	DET
ejpam-45	97	9	=	=	NOUN
ejpam-45	97	10	0	0	X
ejpam-45	97	11	.	.	PUNCT
ejpam-45	98	1	clearly	clearly	ADV
ejpam-45	98	2	(	(	PUNCT
ejpam-45	98	3	14	14	NUM
ejpam-45	98	4	)	)	PUNCT
ejpam-45	98	5	is	be	AUX
ejpam-45	98	6	the	the	DET
ejpam-45	98	7	failur	failur	ADJ
ejpam-45	98	8	rate	rate	NOUN
ejpam-45	98	9	function	function	NOUN
ejpam-45	98	10	of	of	ADP
ejpam-45	98	11	the	the	DET
ejpam-45	98	12	exponential	exponential	ADJ
ejpam-45	98	13	distribution	distribution	NOUN
ejpam-45	98	14	.	.	PUNCT
ejpam-45	99	1	(	(	PUNCT
ejpam-45	99	2	ii	ii	NOUN
ejpam-45	99	3	)	)	PUNCT
ejpam-45	99	4	the	the	DET
ejpam-45	99	5	density	density	NOUN
ejpam-45	99	6	function	function	NOUN
ejpam-45	99	7	of	of	ADP
ejpam-45	99	8	the	the	DET
ejpam-45	99	9	pareto	pareto	ADJ
ejpam-45	99	10	distribution	distribution	NOUN
ejpam-45	99	11	is	be	AUX
ejpam-45	99	12	given	give	VERB
ejpam-45	99	13	by	by	ADP
ejpam-45	99	14	f	f	PROPN
ejpam-45	99	15	(	(	PUNCT
ejpam-45	99	16	t	t	PROPN
ejpam-45	99	17	)	)	PUNCT
ejpam-45	99	18	=	=	PUNCT
ejpam-45	99	19	(	(	PUNCT
ejpam-45	99	20	b	b	NOUN
ejpam-45	99	21	)	)	PUNCT
ejpam-45	99	22	1	1	NUM
ejpam-45	99	23	a	a	DET
ejpam-45	99	24	(	(	PUNCT
ejpam-45	99	25	at	at	ADP
ejpam-45	99	26	+	+	ADV
ejpam-45	99	27	b)1	b)1	NOUN
ejpam-45	99	28	+	+	CCONJ
ejpam-45	99	29	1	1	NUM
ejpam-45	99	30	a	a	PRON
ejpam-45	99	31	,	,	PUNCT
ejpam-45	99	32	t	t	PROPN
ejpam-45	99	33	≥	≥	PROPN
ejpam-45	99	34	0	0	NUM
ejpam-45	99	35	,	,	PUNCT
ejpam-45	99	36	a	a	PRON
ejpam-45	99	37	>	>	X
ejpam-45	99	38	0	0	NUM
ejpam-45	99	39	,	,	PUNCT
ejpam-45	99	40	b	b	X
ejpam-45	99	41	>	>	X
ejpam-45	99	42	0	0	NUM
ejpam-45	100	1	the	the	DET
ejpam-45	100	2	reliability	reliability	NOUN
ejpam-45	100	3	function	function	NOUN
ejpam-45	100	4	is	be	AUX
ejpam-45	100	5	given	give	VERB
ejpam-45	100	6	by	by	ADP
ejpam-45	100	7	r(t	r(t	NOUN
ejpam-45	100	8	)	)	PUNCT
ejpam-45	100	9	=	=	PUNCT
ejpam-45	100	10	(	(	PUNCT
ejpam-45	100	11	b	b	NOUN
ejpam-45	100	12	)	)	PUNCT
ejpam-45	101	1	1	1	NUM
ejpam-45	101	2	a	a	PRON
ejpam-45	101	3	(	(	PUNCT
ejpam-45	101	4	at	at	ADP
ejpam-45	101	5	+	+	NOUN
ejpam-45	101	6	b	b	X
ejpam-45	101	7	)	)	PUNCT
ejpam-45	101	8	1	1	NUM
ejpam-45	101	9	a	a	PRON
ejpam-45	101	10	,	,	PUNCT
ejpam-45	101	11	t	t	PROPN
ejpam-45	101	12	≥	≥	PROPN
ejpam-45	101	13	0	0	NUM
ejpam-45	101	14	,	,	PUNCT
ejpam-45	101	15	a	a	PRON
ejpam-45	101	16	>	>	X
ejpam-45	101	17	0	0	NUM
ejpam-45	101	18	,	,	PUNCT
ejpam-45	101	19	b	b	X
ejpam-45	101	20	>	>	X
ejpam-45	101	21	0	0	PUNCT
ejpam-45	102	1	the	the	DET
ejpam-45	102	2	failure	failure	NOUN
ejpam-45	102	3	rate	rate	NOUN
ejpam-45	102	4	is	be	AUX
ejpam-45	102	5	given	give	VERB
ejpam-45	102	6	by	by	ADP
ejpam-45	102	7	h(t	h(t	PROPN
ejpam-45	102	8	)	)	PUNCT
ejpam-45	102	9	=	=	NOUN
ejpam-45	102	10	(	(	PUNCT
ejpam-45	102	11	at	at	ADP
ejpam-45	102	12	+	+	ADJ
ejpam-45	102	13	b)−1	b)−1	NOUN
ejpam-45	102	14	(	(	PUNCT
ejpam-45	102	15	2.9	2.9	NUM
ejpam-45	102	16	)	)	PUNCT
ejpam-45	102	17	and	and	CCONJ
ejpam-45	102	18	hν(α	hν(α	NOUN
ejpam-45	102	19	,	,	PUNCT
ejpam-45	102	20	β	β	X
ejpam-45	102	21	,	,	PUNCT
ejpam-45	102	22	t	t	PROPN
ejpam-45	102	23	)	)	PUNCT
ejpam-45	102	24	=	=	SYM
ejpam-45	102	25	1	1	NUM
ejpam-45	102	26	β	β	X
ejpam-45	102	27	−α	−α	NOUN
ejpam-45	102	28	log(k)−	log(k)−	PROPN
ejpam-45	102	29	2−α−	2−α−	PROPN
ejpam-45	102	30	β	β	NOUN
ejpam-45	102	31	β	β	X
ejpam-45	102	32	−α	−α	NOUN
ejpam-45	102	33	log	log	VERB
ejpam-45	102	34	h(t	h(t	PROPN
ejpam-45	102	35	)	)	PUNCT
ejpam-45	102	36	where	where	SCONJ
ejpam-45	102	37	k	k	NOUN
ejpam-45	102	38	=	=	SYM
ejpam-45	102	39	1	1	NUM
ejpam-45	102	40	(	(	PUNCT
ejpam-45	102	41	α+β−1)+a(α+β−2	α+β−1)+a(α+β−2	PROPN
ejpam-45	102	42	)	)	PUNCT
ejpam-45	102	43	and	and	CCONJ
ejpam-45	102	44	h(t	h(t	PROPN
ejpam-45	102	45	)	)	PUNCT
ejpam-45	102	46	=	=	NOUN
ejpam-45	103	1	(	(	PUNCT
ejpam-45	103	2	at	at	ADP
ejpam-45	103	3	+	+	ADJ
ejpam-45	103	4	b)−1	b)−1	NOUN
ejpam-45	103	5	.	.	PUNCT
ejpam-45	104	1	since	since	SCONJ
ejpam-45	104	2	α+	α+	NUM
ejpam-45	104	3	β	β	X
ejpam-45	104	4	>	>	X
ejpam-45	104	5	2	2	NUM
ejpam-45	104	6	,	,	PUNCT
ejpam-45	104	7	therefore	therefore	ADV
ejpam-45	104	8	k	k	X
ejpam-45	104	9	<	<	X
ejpam-45	104	10	1	1	NUM
ejpam-45	104	11	α+β−1	α+β−1	NUM
ejpam-45	104	12	thus	thus	ADV
ejpam-45	104	13	(	(	PUNCT
ejpam-45	104	14	13	13	NUM
ejpam-45	104	15	)	)	PUNCT
ejpam-45	104	16	holds	hold	VERB
ejpam-45	104	17	.	.	PUNCT
ejpam-45	105	1	conversly	conversly	ADV
ejpam-45	105	2	,	,	PUNCT
ejpam-45	105	3	suppose	suppose	VERB
ejpam-45	105	4	k	k	X
ejpam-45	105	5	<	<	X
ejpam-45	105	6	1	1	NUM
ejpam-45	105	7	α+β−1	α+β−1	PROPN
ejpam-45	105	8	,	,	PUNCT
ejpam-45	105	9	proceeding	proceed	VERB
ejpam-45	105	10	as	as	ADP
ejpam-45	105	11	in	in	ADP
ejpam-45	105	12	(	(	PUNCT
ejpam-45	105	13	i	i	NOUN
ejpam-45	105	14	)	)	PUNCT
ejpam-45	105	15	,	,	PUNCT
ejpam-45	105	16	(	(	PUNCT
ejpam-45	105	17	14	14	NUM
ejpam-45	105	18	)	)	PUNCT
ejpam-45	105	19	gives	give	VERB
ejpam-45	105	20	h(t	h(t	PRON
ejpam-45	105	21	)	)	PUNCT
ejpam-45	106	1	=	=	SYM
ejpam-45	106	2	�	�	PROPN
ejpam-45	106	3	1−	1−	NUM
ejpam-45	106	4	k(α+	k(α+	NOUN
ejpam-45	106	5	β	β	NOUN
ejpam-45	106	6	−	−	NOUN
ejpam-45	106	7	1	1	X
ejpam-45	106	8	)	)	PUNCT
ejpam-45	106	9	k(α+	k(α+	PROPN
ejpam-45	106	10	β	β	NOUN
ejpam-45	106	11	−	−	PROPN
ejpam-45	106	12	2	2	X
ejpam-45	106	13	)	)	PUNCT
ejpam-45	106	14	t	t	NOUN
ejpam-45	106	15	+	+	CCONJ
ejpam-45	106	16	1	1	NUM
ejpam-45	106	17	h(0	h(0	PROPN
ejpam-45	106	18	)	)	PUNCT
ejpam-45	106	19	�	�	PROPN
ejpam-45	106	20	−1	−1	NOUN
ejpam-45	106	21	=	=	PUNCT
ejpam-45	106	22	(	(	PUNCT
ejpam-45	106	23	at	at	ADP
ejpam-45	106	24	+	+	ADJ
ejpam-45	106	25	b)−1	b)−1	NOUN
ejpam-45	106	26	(	(	PUNCT
ejpam-45	106	27	2.10	2.10	NUM
ejpam-45	106	28	)	)	PUNCT
ejpam-45	106	29	where	where	SCONJ
ejpam-45	106	30	a	a	DET
ejpam-45	106	31	=	=	X
ejpam-45	106	32	�	�	PROPN
ejpam-45	106	33	1−k(α+β−1	1−k(α+β−1	NUM
ejpam-45	106	34	)	)	PUNCT
ejpam-45	106	35	k(α+β−2	k(α+β−2	PROPN
ejpam-45	106	36	)	)	PUNCT
ejpam-45	106	37	�	�	PROPN
ejpam-45	106	38	and	and	CCONJ
ejpam-45	106	39	b	b	X
ejpam-45	106	40	=	=	SYM
ejpam-45	106	41	1	1	NUM
ejpam-45	106	42	h(0	h(0	PROPN
ejpam-45	106	43	)	)	PUNCT
ejpam-45	106	44	.	.	PUNCT
ejpam-45	107	1	since	since	SCONJ
ejpam-45	107	2	k	k	PROPN
ejpam-45	107	3	<	<	X
ejpam-45	107	4	1	1	NUM
ejpam-45	107	5	α+β−1	α+β−1	NUM
ejpam-45	107	6	and	and	CCONJ
ejpam-45	107	7	α+	α+	PUNCT
ejpam-45	107	8	β	β	X
ejpam-45	107	9	>	>	X
ejpam-45	107	10	2	2	NUM
ejpam-45	107	11	,	,	PUNCT
ejpam-45	107	12	therefore	therefore	ADV
ejpam-45	107	13	a	a	DET
ejpam-45	107	14	>	>	X
ejpam-45	107	15	0	0	X
ejpam-45	107	16	.	.	PUNCT
ejpam-45	107	17	clearly	clearly	ADV
ejpam-45	107	18	(	(	PUNCT
ejpam-45	107	19	16	16	NUM
ejpam-45	107	20	)	)	PUNCT
ejpam-45	107	21	is	be	AUX
ejpam-45	107	22	the	the	DET
ejpam-45	107	23	failure	failure	NOUN
ejpam-45	107	24	rate	rate	NOUN
ejpam-45	107	25	function	function	NOUN
ejpam-45	107	26	of	of	ADP
ejpam-45	107	27	the	the	DET
ejpam-45	107	28	pareto	pareto	ADJ
ejpam-45	107	29	distribution	distribution	NOUN
ejpam-45	107	30	given	give	VERB
ejpam-45	107	31	in	in	ADP
ejpam-45	107	32	(	(	PUNCT
ejpam-45	107	33	15	15	NUM
ejpam-45	107	34	)	)	PUNCT
ejpam-45	107	35	.	.	PUNCT
ejpam-45	108	1	(	(	PUNCT
ejpam-45	108	2	iii	iii	X
ejpam-45	108	3	)	)	PUNCT
ejpam-45	108	4	the	the	DET
ejpam-45	108	5	density	density	NOUN
ejpam-45	108	6	function	function	NOUN
ejpam-45	108	7	of	of	ADP
ejpam-45	108	8	the	the	DET
ejpam-45	108	9	finite	finite	ADJ
ejpam-45	108	10	range	range	NOUN
ejpam-45	108	11	distribution	distribution	NOUN
ejpam-45	108	12	is	be	AUX
ejpam-45	108	13	given	give	VERB
ejpam-45	108	14	by	by	ADP
ejpam-45	108	15	f	f	PROPN
ejpam-45	108	16	(	(	PUNCT
ejpam-45	108	17	t	t	PROPN
ejpam-45	108	18	)	)	PUNCT
ejpam-45	108	19	=	=	SYM
ejpam-45	108	20	β1	β1	PROPN
ejpam-45	108	21	ν	ν	X
ejpam-45	108	22	�	�	PROPN
ejpam-45	108	23	1−	1−	NUM
ejpam-45	108	24	t	t	PROPN
ejpam-45	108	25	ν	ν	X
ejpam-45	108	26	�	�	PROPN
ejpam-45	108	27	β1−1	β1−1	X
ejpam-45	108	28	,	,	PUNCT
ejpam-45	108	29	β1	β1	PROPN
ejpam-45	108	30	>	>	X
ejpam-45	108	31	1	1	NUM
ejpam-45	108	32	,	,	PUNCT
ejpam-45	108	33	0≤	0≤	NUM
ejpam-45	108	34	t	t	NOUN
ejpam-45	108	35	≤	≤	NUM
ejpam-45	108	36	ν	ν	X
ejpam-45	108	37	<	<	X
ejpam-45	108	38	∞	∞	PROPN
ejpam-45	108	39	m.	m.	NOUN
ejpam-45	108	40	a.	a.	PROPN
ejpam-45	108	41	k.	k.	PROPN
ejpam-45	108	42	baig	baig	PROPN
ejpam-45	108	43	and	and	CCONJ
ejpam-45	108	44	j.	j.	PROPN
ejpam-45	108	45	d.	d.	PROPN
ejpam-45	108	46	gar	gar	PROPN
ejpam-45	108	47	/	/	SYM
ejpam-45	108	48	eur	eur	PROPN
ejpam-45	108	49	.	.	PUNCT
ejpam-45	109	1	j.	j.	PROPN
ejpam-45	109	2	pure	pure	PROPN
ejpam-45	109	3	appl	appl	PROPN
ejpam-45	109	4	.	.	PROPN
ejpam-45	109	5	math	math	PROPN
ejpam-45	109	6	,	,	PUNCT
ejpam-45	109	7	1	1	NUM
ejpam-45	109	8	(	(	PUNCT
ejpam-45	109	9	2008	2008	NUM
ejpam-45	109	10	)	)	PUNCT
ejpam-45	109	11	,	,	PUNCT
ejpam-45	109	12	(	(	PUNCT
ejpam-45	109	13	30	30	NUM
ejpam-45	109	14	-	-	SYM
ejpam-45	109	15	40	40	NUM
ejpam-45	109	16	)	)	PUNCT
ejpam-45	109	17	35	35	NUM
ejpam-45	109	18	the	the	DET
ejpam-45	109	19	reliability	reliability	NOUN
ejpam-45	109	20	function	function	NOUN
ejpam-45	109	21	is	be	AUX
ejpam-45	109	22	given	give	VERB
ejpam-45	109	23	by	by	ADP
ejpam-45	109	24	f	f	PROPN
ejpam-45	109	25	(	(	PUNCT
ejpam-45	109	26	t	t	PROPN
ejpam-45	109	27	)	)	PUNCT
ejpam-45	109	28	=	=	SYM
ejpam-45	109	29	�	�	PROPN
ejpam-45	109	30	1−	1−	NUM
ejpam-45	109	31	t	t	PROPN
ejpam-45	109	32	ν	ν	X
ejpam-45	109	33	�	�	PROPN
ejpam-45	109	34	β1	β1	PROPN
ejpam-45	109	35	,	,	PUNCT
ejpam-45	109	36	β1	β1	PROPN
ejpam-45	109	37	>	>	X
ejpam-45	109	38	1,0≤	1,0≤	NUM
ejpam-45	109	39	t	t	NOUN
ejpam-45	109	40	≤	≤	NUM
ejpam-45	109	41	ν	ν	ADP
ejpam-45	109	42	<	<	X
ejpam-45	109	43	∞	∞	NUM
ejpam-45	109	44	the	the	DET
ejpam-45	109	45	failure	failure	NOUN
ejpam-45	109	46	rate	rate	NOUN
ejpam-45	109	47	function	function	NOUN
ejpam-45	109	48	is	be	AUX
ejpam-45	109	49	given	give	VERB
ejpam-45	109	50	by	by	ADP
ejpam-45	109	51	h(t	h(t	PROPN
ejpam-45	109	52	)	)	PUNCT
ejpam-45	109	53	=	=	SYM
ejpam-45	109	54	�	�	PROPN
ejpam-45	109	55	β1	β1	PROPN
ejpam-45	109	56	ν	ν	PROPN
ejpam-45	109	57	�	�	PROPN
ejpam-45	109	58	�	�	PROPN
ejpam-45	109	59	1−	1−	NUM
ejpam-45	109	60	t	t	PROPN
ejpam-45	109	61	ν	ν	X
ejpam-45	109	62	�	�	PROPN
ejpam-45	109	63	−1	−1	NOUN
ejpam-45	109	64	(	(	PUNCT
ejpam-45	109	65	2.11	2.11	NUM
ejpam-45	109	66	)	)	PUNCT
ejpam-45	109	67	and	and	CCONJ
ejpam-45	109	68	hν(α	hν(α	NOUN
ejpam-45	109	69	,	,	PUNCT
ejpam-45	109	70	β	β	X
ejpam-45	109	71	,	,	PUNCT
ejpam-45	109	72	t	t	PROPN
ejpam-45	109	73	)	)	PUNCT
ejpam-45	109	74	=	=	SYM
ejpam-45	109	75	1	1	NUM
ejpam-45	109	76	β	β	X
ejpam-45	109	77	−α	−α	NOUN
ejpam-45	109	78	log(k)−	log(k)−	PROPN
ejpam-45	109	79	2−α−	2−α−	PROPN
ejpam-45	109	80	β	β	NOUN
ejpam-45	109	81	β	β	X
ejpam-45	109	82	−α	−α	NOUN
ejpam-45	109	83	log	log	VERB
ejpam-45	109	84	h(t	h(t	PROPN
ejpam-45	109	85	)	)	PUNCT
ejpam-45	109	86	where	where	SCONJ
ejpam-45	109	87	k	k	PROPN
ejpam-45	109	88	=	=	SYM
ejpam-45	109	89	β1	β1	PROPN
ejpam-45	109	90	(	(	PUNCT
ejpam-45	109	91	α+β−1)(β1−1)+1	α+β−1)(β1−1)+1	NOUN
ejpam-45	109	92	and	and	CCONJ
ejpam-45	109	93	h(t	h(t	PROPN
ejpam-45	109	94	)	)	PUNCT
ejpam-45	109	95	=	=	SYM
ejpam-45	109	96	�	�	PROPN
ejpam-45	109	97	β1	β1	PROPN
ejpam-45	109	98	ν	ν	PROPN
ejpam-45	109	99	�	�	PROPN
ejpam-45	109	100	�	�	PROPN
ejpam-45	109	101	1−	1−	NUM
ejpam-45	109	102	t	t	PROPN
ejpam-45	109	103	ν	ν	X
ejpam-45	109	104	�	�	PROPN
ejpam-45	109	105	−1	−1	NOUN
ejpam-45	109	106	.	.	PUNCT
ejpam-45	110	1	since	since	SCONJ
ejpam-45	110	2	α+	α+	NUM
ejpam-45	110	3	β	β	X
ejpam-45	110	4	>	>	X
ejpam-45	110	5	2	2	NUM
ejpam-45	110	6	,	,	PUNCT
ejpam-45	110	7	therefore	therefore	ADV
ejpam-45	110	8	k	k	X
ejpam-45	110	9	>	>	X
ejpam-45	110	10	1	1	NUM
ejpam-45	110	11	α+β−1	α+β−1	NUM
ejpam-45	110	12	.	.	PUNCT
ejpam-45	111	1	thus	thus	ADV
ejpam-45	111	2	(	(	PUNCT
ejpam-45	111	3	13	13	NUM
ejpam-45	111	4	)	)	PUNCT
ejpam-45	111	5	holds	hold	VERB
ejpam-45	111	6	.	.	PUNCT
ejpam-45	112	1	conversely	conversely	ADV
ejpam-45	112	2	,	,	PUNCT
ejpam-45	112	3	suppose	suppose	VERB
ejpam-45	112	4	k	k	X
ejpam-45	112	5	>	>	X
ejpam-45	112	6	1	1	NUM
ejpam-45	112	7	α+β−1	α+β−1	PROPN
ejpam-45	112	8	.	.	PUNCT
ejpam-45	113	1	proceeding	proceed	VERB
ejpam-45	113	2	as	as	ADP
ejpam-45	113	3	in	in	ADP
ejpam-45	113	4	(	(	PUNCT
ejpam-45	113	5	i	i	NOUN
ejpam-45	113	6	)	)	PUNCT
ejpam-45	113	7	,	,	PUNCT
ejpam-45	113	8	(	(	PUNCT
ejpam-45	113	9	14	14	NUM
ejpam-45	113	10	)	)	PUNCT
ejpam-45	113	11	gives	give	VERB
ejpam-45	113	12	h(t	h(t	PRON
ejpam-45	113	13	)	)	PUNCT
ejpam-45	114	1	=	=	SYM
ejpam-45	114	2	h(0	h(0	PROPN
ejpam-45	114	3	)	)	PUNCT
ejpam-45	114	4	�	�	PROPN
ejpam-45	114	5	1−	1−	NUM
ejpam-45	114	6	k(α+	k(α+	NOUN
ejpam-45	114	7	β	β	X
ejpam-45	115	1	−	−	PROPN
ejpam-45	115	2	1)−	1)−	NUM
ejpam-45	115	3	1	1	NUM
ejpam-45	115	4	k(α+	k(α+	NOUN
ejpam-45	115	5	β	β	NOUN
ejpam-45	115	6	−	−	PROPN
ejpam-45	115	7	2	2	X
ejpam-45	115	8	)	)	PUNCT
ejpam-45	115	9	h(0)t	h(0)t	PROPN
ejpam-45	115	10	�	�	PROPN
ejpam-45	115	11	−1	−1	NOUN
ejpam-45	115	12	(	(	PUNCT
ejpam-45	115	13	2.12	2.12	NUM
ejpam-45	115	14	)	)	PUNCT
ejpam-45	115	15	which	which	PRON
ejpam-45	115	16	is	be	AUX
ejpam-45	115	17	the	the	DET
ejpam-45	115	18	failure	failure	NOUN
ejpam-45	115	19	rate	rate	NOUN
ejpam-45	115	20	function	function	NOUN
ejpam-45	115	21	of	of	ADP
ejpam-45	115	22	the	the	DET
ejpam-45	115	23	distribution	distribution	NOUN
ejpam-45	115	24	given	give	VERB
ejpam-45	115	25	in	in	ADP
ejpam-45	115	26	(	(	PUNCT
ejpam-45	115	27	17	17	NUM
ejpam-45	115	28	)	)	PUNCT
ejpam-45	115	29	,	,	PUNCT
ejpam-45	115	30	iff	iff	PROPN
ejpam-45	116	1	k	k	PROPN
ejpam-45	116	2	>	>	X
ejpam-45	116	3	1	1	NUM
ejpam-45	116	4	α+β−1	α+β−1	PROPN
ejpam-45	116	5	.	.	PUNCT
ejpam-45	117	1	remark	remark	PROPN
ejpam-45	117	2	:	:	PUNCT
ejpam-45	117	3	for	for	ADP
ejpam-45	117	4	β	β	X
ejpam-45	117	5	=	=	SYM
ejpam-45	117	6	1	1	NUM
ejpam-45	117	7	,	,	PUNCT
ejpam-45	117	8	(	(	PUNCT
ejpam-45	117	9	13	13	NUM
ejpam-45	117	10	)	)	PUNCT
ejpam-45	117	11	,	,	PUNCT
ejpam-45	117	12	(	(	PUNCT
ejpam-45	117	13	14	14	NUM
ejpam-45	117	14	)	)	PUNCT
ejpam-45	117	15	,	,	PUNCT
ejpam-45	117	16	(	(	PUNCT
ejpam-45	117	17	16	16	NUM
ejpam-45	117	18	)	)	PUNCT
ejpam-45	117	19	,	,	PUNCT
ejpam-45	117	20	(	(	PUNCT
ejpam-45	117	21	18	18	NUM
ejpam-45	117	22	)	)	PUNCT
ejpam-45	117	23	reduces	reduce	VERB
ejpam-45	117	24	to	to	ADP
ejpam-45	117	25	hν(α	hν(α	NOUN
ejpam-45	117	26	,	,	PUNCT
ejpam-45	117	27	t	t	PROPN
ejpam-45	117	28	)	)	PUNCT
ejpam-45	117	29	=	=	SYM
ejpam-45	118	1	1	1	NUM
ejpam-45	118	2	1−α	1−α	NUM
ejpam-45	118	3	log(k)−	log(k)−	PROPN
ejpam-45	118	4	log	log	NOUN
ejpam-45	118	5	h(t	h(t	NUM
ejpam-45	118	6	)	)	PUNCT
ejpam-45	118	7	,	,	PUNCT
ejpam-45	118	8	h(t	h(t	PROPN
ejpam-45	118	9	)	)	PUNCT
ejpam-45	118	10	=	=	SYM
ejpam-45	118	11	�	�	PROPN
ejpam-45	118	12	(	(	PUNCT
ejpam-45	118	13	1−	1−	NUM
ejpam-45	118	14	kα)t	kα)t	PROPN
ejpam-45	118	15	k(α−	k(α−	PROPN
ejpam-45	118	16	1	1	NUM
ejpam-45	118	17	)	)	PUNCT
ejpam-45	118	18	+	+	CCONJ
ejpam-45	118	19	1	1	NUM
ejpam-45	118	20	h(0	h(0	PROPN
ejpam-45	118	21	)	)	PUNCT
ejpam-45	118	22	�	�	PROPN
ejpam-45	118	23	−1	−1	NOUN
ejpam-45	118	24	,	,	PUNCT
ejpam-45	118	25	h(t	h(t	PROPN
ejpam-45	118	26	)	)	PUNCT
ejpam-45	118	27	=	=	SYM
ejpam-45	118	28	�	�	PROPN
ejpam-45	118	29	(	(	PUNCT
ejpam-45	118	30	1−	1−	NUM
ejpam-45	118	31	kα)t	kα)t	PROPN
ejpam-45	118	32	k(α−	k(α−	PROPN
ejpam-45	118	33	1	1	NUM
ejpam-45	118	34	)	)	PUNCT
ejpam-45	118	35	+	+	CCONJ
ejpam-45	118	36	1	1	NUM
ejpam-45	118	37	h(0	h(0	PROPN
ejpam-45	118	38	)	)	PUNCT
ejpam-45	118	39	�	�	PROPN
ejpam-45	118	40	−1	−1	NOUN
ejpam-45	118	41	,	,	PUNCT
ejpam-45	118	42	h(t	h(t	PROPN
ejpam-45	118	43	)	)	PUNCT
ejpam-45	118	44	=	=	SYM
ejpam-45	118	45	h(0	h(0	PROPN
ejpam-45	118	46	)	)	PUNCT
ejpam-45	118	47	�	�	PROPN
ejpam-45	118	48	1−	1−	NUM
ejpam-45	118	49	(	(	PUNCT
ejpam-45	118	50	kα−	kα−	PROPN
ejpam-45	118	51	1)h(0)t	1)h(0)t	NUM
ejpam-45	118	52	k(α−	k(α−	NOUN
ejpam-45	118	53	1	1	NUM
ejpam-45	118	54	)	)	PUNCT
ejpam-45	118	55	�	�	PROPN
ejpam-45	118	56	−1	−1	NOUN
ejpam-45	118	57	respectively	respectively	ADV
ejpam-45	118	58	,	,	PUNCT
ejpam-45	118	59	which	which	PRON
ejpam-45	118	60	is	be	AUX
ejpam-45	118	61	given	give	VERB
ejpam-45	118	62	by	by	ADP
ejpam-45	118	63	baig	baig	PROPN
ejpam-45	118	64	and	and	CCONJ
ejpam-45	118	65	dar	dar	PROPN
ejpam-45	119	1	[	[	X
ejpam-45	119	2	2	2	NUM
ejpam-45	119	3	]	]	PUNCT
ejpam-45	119	4	.	.	PUNCT
ejpam-45	120	1	3	3	X
ejpam-45	120	2	.	.	X
ejpam-45	120	3	new	new	ADJ
ejpam-45	120	4	class	class	NOUN
ejpam-45	120	5	of	of	ADP
ejpam-45	120	6	life	life	NOUN
ejpam-45	120	7	time	time	NOUN
ejpam-45	120	8	distribution	distribution	NOUN
ejpam-45	120	9	:	:	PUNCT
ejpam-45	120	10	the	the	DET
ejpam-45	120	11	survival	survival	NOUN
ejpam-45	120	12	function	function	NOUN
ejpam-45	120	13	has	have	AUX
ejpam-45	120	14	increasing(decreasing	increasing(decrease	VERB
ejpam-45	120	15	)	)	PUNCT
ejpam-45	120	16	varma	varma	PROPN
ejpam-45	120	17	’s	’s	PART
ejpam-45	120	18	entropy	entropy	NOUN
ejpam-45	120	19	for	for	ADP
ejpam-45	120	20	residual	residual	ADJ
ejpam-45	120	21	life	life	NOUN
ejpam-45	120	22	of	of	ADP
ejpam-45	120	23	order	order	NOUN
ejpam-45	120	24	α	α	NOUN
ejpam-45	120	25	and	and	CCONJ
ejpam-45	120	26	type	type	NOUN
ejpam-45	120	27	β	β	PROPN
ejpam-45	120	28	,	,	PUNCT
ejpam-45	120	29	iverl(α	iverl(α	PROPN
ejpam-45	120	30	,	,	PUNCT
ejpam-45	120	31	β)(dverl(α	β)(dverl(α	PROPN
ejpam-45	120	32	,	,	PUNCT
ejpam-45	120	33	β	β	NOUN
ejpam-45	120	34	)	)	PUNCT
ejpam-45	120	35	)	)	PUNCT
ejpam-45	120	36	if	if	SCONJ
ejpam-45	120	37	hν(α	hν(α	NOUN
ejpam-45	120	38	,	,	PUNCT
ejpam-45	120	39	β	β	X
ejpam-45	120	40	,	,	PUNCT
ejpam-45	120	41	t	t	PROPN
ejpam-45	120	42	)	)	PUNCT
ejpam-45	120	43	is	be	AUX
ejpam-45	120	44	increasing(decreasing	increasing(decrease	VERB
ejpam-45	120	45	)	)	PUNCT
ejpam-45	120	46	in	in	ADP
ejpam-45	120	47	t	t	PROPN
ejpam-45	120	48	,	,	PUNCT
ejpam-45	120	49	t	t	X
ejpam-45	120	50	>	>	X
ejpam-45	120	51	0	0	PROPN
ejpam-45	120	52	.	.	PUNCT
ejpam-45	121	1	this	this	PRON
ejpam-45	121	2	implies	imply	VERB
ejpam-45	121	3	that	that	SCONJ
ejpam-45	121	4	r	r	NOUN
ejpam-45	121	5	has	have	VERB
ejpam-45	121	6	iverl(α	iverl(α	PROPN
ejpam-45	121	7	,	,	PUNCT
ejpam-45	121	8	β)(dverl(α	β)(dverl(α	PROPN
ejpam-45	121	9	,	,	PUNCT
ejpam-45	121	10	β	β	NOUN
ejpam-45	121	11	)	)	PUNCT
ejpam-45	121	12	)	)	PUNCT
ejpam-45	121	13	if	if	SCONJ
ejpam-45	121	14	h	h	NOUN
ejpam-45	121	15	′	′	VERB
ejpam-45	121	16	ν(α	ν(α	PROPN
ejpam-45	121	17	,	,	PUNCT
ejpam-45	121	18	β	β	PROPN
ejpam-45	121	19	,	,	PUNCT
ejpam-45	121	20	t	t	PROPN
ejpam-45	121	21	)	)	PUNCT
ejpam-45	121	22	≥	≥	NOUN
ejpam-45	121	23	0	0	NUM
ejpam-45	121	24	≤	≤	NOUN
ejpam-45	121	25	0	0	NUM
ejpam-45	121	26	m.	m.	NOUN
ejpam-45	121	27	a.	a.	PROPN
ejpam-45	121	28	k.	k.	PROPN
ejpam-45	121	29	baig	baig	PROPN
ejpam-45	121	30	and	and	CCONJ
ejpam-45	121	31	j.	j.	PROPN
ejpam-45	121	32	d.	d.	PROPN
ejpam-45	121	33	gar	gar	PROPN
ejpam-45	121	34	/	/	SYM
ejpam-45	121	35	eur	eur	PROPN
ejpam-45	121	36	.	.	PUNCT
ejpam-45	122	1	j.	j.	PROPN
ejpam-45	122	2	pure	pure	PROPN
ejpam-45	122	3	appl	appl	PROPN
ejpam-45	122	4	.	.	PROPN
ejpam-45	122	5	math	math	PROPN
ejpam-45	122	6	,	,	PUNCT
ejpam-45	122	7	1	1	NUM
ejpam-45	122	8	(	(	PUNCT
ejpam-45	122	9	2008	2008	NUM
ejpam-45	122	10	)	)	PUNCT
ejpam-45	122	11	,	,	PUNCT
ejpam-45	122	12	(	(	PUNCT
ejpam-45	122	13	30	30	NUM
ejpam-45	122	14	-	-	SYM
ejpam-45	122	15	40	40	NUM
ejpam-45	122	16	)	)	PUNCT
ejpam-45	122	17	36	36	NUM
ejpam-45	122	18	theorem	theorem	VERB
ejpam-45	122	19	3.1	3.1	NUM
ejpam-45	122	20	:	:	PUNCT
ejpam-45	122	21	if	if	SCONJ
ejpam-45	122	22	a	a	DET
ejpam-45	122	23	distribution	distribution	NOUN
ejpam-45	122	24	is	be	AUX
ejpam-45	122	25	iverl(α	iverl(α	NOUN
ejpam-45	122	26	,	,	PUNCT
ejpam-45	122	27	β	β	NOUN
ejpam-45	122	28	)	)	PUNCT
ejpam-45	122	29	as	as	ADV
ejpam-45	122	30	well	well	ADV
ejpam-45	122	31	as	as	ADP
ejpam-45	122	32	dverl(α	dverl(α	PROPN
ejpam-45	122	33	,	,	PUNCT
ejpam-45	122	34	β	β	NOUN
ejpam-45	122	35	)	)	PUNCT
ejpam-45	122	36	for	for	ADP
ejpam-45	122	37	some	some	DET
ejpam-45	122	38	constant	constant	ADJ
ejpam-45	122	39	,	,	PUNCT
ejpam-45	122	40	then	then	ADV
ejpam-45	122	41	it	it	PRON
ejpam-45	122	42	must	must	AUX
ejpam-45	122	43	be	be	AUX
ejpam-45	122	44	exponential	exponential	ADJ
ejpam-45	122	45	.	.	PUNCT
ejpam-45	123	1	proof	proof	NOUN
ejpam-45	123	2	:	:	PUNCT
ejpam-45	123	3	since	since	SCONJ
ejpam-45	123	4	the	the	DET
ejpam-45	123	5	random	random	ADJ
ejpam-45	123	6	variable	variable	NOUN
ejpam-45	123	7	t	t	PROPN
ejpam-45	123	8	is	be	AUX
ejpam-45	123	9	both	both	DET
ejpam-45	123	10	iverl(α	iverl(α	PROPN
ejpam-45	123	11	,	,	PUNCT
ejpam-45	123	12	β	β	NOUN
ejpam-45	123	13	)	)	PUNCT
ejpam-45	123	14	and	and	CCONJ
ejpam-45	123	15	dverl(α	dverl(α	PROPN
ejpam-45	123	16	,	,	PUNCT
ejpam-45	123	17	β	β	NOUN
ejpam-45	123	18	)	)	PUNCT
ejpam-45	123	19	,	,	PUNCT
ejpam-45	123	20	therfore	therfore	ADP
ejpam-45	123	21	hν(α	hν(α	NOUN
ejpam-45	123	22	,	,	PUNCT
ejpam-45	123	23	β	β	X
ejpam-45	123	24	,	,	PUNCT
ejpam-45	123	25	t	t	PROPN
ejpam-45	123	26	)	)	PUNCT
ejpam-45	123	27	=	=	VERB
ejpam-45	124	1	constant	constant	ADJ
ejpam-45	124	2	1	1	NUM
ejpam-45	124	3	β	β	X
ejpam-45	124	4	−α	−α	NOUN
ejpam-45	124	5	log	log	NOUN
ejpam-45	124	6			NOUN
ejpam-45	124	7			PROPN
ejpam-45	124	8	∫∞	∫∞	NOUN
ejpam-45	124	9	t	t	PROPN
ejpam-45	124	10	f	f	PROPN
ejpam-45	124	11	α+β−1(x	α+β−1(x	NOUN
ejpam-45	124	12	)	)	PUNCT
ejpam-45	124	13	rα+β−1(t	rα+β−1(t	VERB
ejpam-45	124	14	)	)	PUNCT
ejpam-45	125	1	d	d	NOUN
ejpam-45	125	2	x	x	X
ejpam-45	125	3			PROPN
ejpam-45	126	1	=	=	PROPN
ejpam-45	126	2	k	k	PROPN
ejpam-45	126	3	or	or	CCONJ
ejpam-45	126	4	∫	∫	PROPN
ejpam-45	127	1	∞	∞	PROPN
ejpam-45	127	2	t	t	PROPN
ejpam-45	127	3	f	f	PROPN
ejpam-45	127	4	α+β−1(x)d	α+β−1(x)d	PROPN
ejpam-45	127	5	x	x	PUNCT
ejpam-45	127	6	=	=	PUNCT
ejpam-45	127	7	rα+β−1(t)exp(k(β	rα+β−1(t)exp(k(β	ADJ
ejpam-45	127	8	−α	−α	NOUN
ejpam-45	127	9	)	)	PUNCT
ejpam-45	127	10	)	)	PUNCT
ejpam-45	128	1	differentiating	differentiate	VERB
ejpam-45	128	2	both	both	DET
ejpam-45	128	3	sides	side	NOUN
ejpam-45	128	4	with	with	ADP
ejpam-45	128	5	respect	respect	NOUN
ejpam-45	128	6	to	to	ADP
ejpam-45	128	7	t	t	PROPN
ejpam-45	128	8	,	,	PUNCT
ejpam-45	128	9	we	we	PRON
ejpam-45	128	10	get	get	VERB
ejpam-45	128	11	f	f	PROPN
ejpam-45	128	12	(	(	PUNCT
ejpam-45	128	13	t	t	PROPN
ejpam-45	128	14	)	)	PUNCT
ejpam-45	128	15	h(t	h(t	PROPN
ejpam-45	128	16	)	)	PUNCT
ejpam-45	129	1	=	=	SYM
ejpam-45	129	2	constant	constant	ADJ
ejpam-45	129	3	or	or	CCONJ
ejpam-45	129	4	h(t	h(t	NUM
ejpam-45	129	5	)	)	PUNCT
ejpam-45	130	1	=	=	SYM
ejpam-45	130	2	constant	constant	ADJ
ejpam-45	130	3	which	which	PRON
ejpam-45	130	4	means	mean	VERB
ejpam-45	130	5	that	that	SCONJ
ejpam-45	130	6	the	the	DET
ejpam-45	130	7	distribution	distribution	NOUN
ejpam-45	130	8	is	be	AUX
ejpam-45	130	9	exponential	exponential	ADJ
ejpam-45	130	10	.	.	PUNCT
ejpam-45	131	1	the	the	DET
ejpam-45	131	2	next	next	ADJ
ejpam-45	131	3	theorem	theorem	NOUN
ejpam-45	131	4	gives	give	VERB
ejpam-45	131	5	upper(lower)bounds	upper(lower)bound	NOUN
ejpam-45	131	6	to	to	ADP
ejpam-45	131	7	the	the	DET
ejpam-45	131	8	failure	failure	NOUN
ejpam-45	131	9	rate	rate	NOUN
ejpam-45	131	10	function	function	NOUN
ejpam-45	131	11	.	.	PUNCT
ejpam-45	132	1	theorem	theorem	VERB
ejpam-45	132	2	3.2	3.2	NUM
ejpam-45	132	3	:	:	PUNCT
ejpam-45	132	4	if	if	SCONJ
ejpam-45	132	5	t	t	PROPN
ejpam-45	132	6	is	be	AUX
ejpam-45	132	7	iverl(α	iverl(α	PROPN
ejpam-45	132	8	,	,	PUNCT
ejpam-45	132	9	β)(dverl(α	β)(dverl(α	PROPN
ejpam-45	132	10	,	,	PUNCT
ejpam-45	132	11	β	β	NOUN
ejpam-45	132	12	)	)	PUNCT
ejpam-45	132	13	)	)	PUNCT
ejpam-45	132	14	,	,	PUNCT
ejpam-45	132	15	then	then	ADV
ejpam-45	132	16	(	(	PUNCT
ejpam-45	132	17	i	i	NOUN
ejpam-45	132	18	)	)	PUNCT
ejpam-45	132	19	(	(	PUNCT
ejpam-45	132	20	h(t)≤	h(t)≤	PROPN
ejpam-45	132	21	(	(	PUNCT
ejpam-45	132	22	≥)(α+	≥)(α+	X
ejpam-45	132	23	β	β	X
ejpam-45	132	24	−	−	NOUN
ejpam-45	132	25	1	1	NUM
ejpam-45	132	26	)	)	SYM
ejpam-45	132	27	1	1	NUM
ejpam-45	132	28	α+β−2	α+β−2	VERB
ejpam-45	132	29	exp	exp	DET
ejpam-45	132	30	�	�	PROPN
ejpam-45	132	31	−	−	PROPN
ejpam-45	132	32	α−β	α−β	PROPN
ejpam-45	132	33	α+β−2	α+β−2	NOUN
ejpam-45	132	34	hν(α	hν(α	NOUN
ejpam-45	132	35	,	,	PUNCT
ejpam-45	132	36	β	β	X
ejpam-45	132	37	,	,	PUNCT
ejpam-45	132	38	t	t	PROPN
ejpam-45	132	39	)	)	PUNCT
ejpam-45	132	40	�	�	PROPN
ejpam-45	132	41	if	if	SCONJ
ejpam-45	132	42	α+	α+	PRON
ejpam-45	132	43	β	β	X
ejpam-45	132	44	>	>	X
ejpam-45	132	45	2	2	NUM
ejpam-45	132	46	.	.	PUNCT
ejpam-45	132	47	(	(	PUNCT
ejpam-45	132	48	ii	ii	NOUN
ejpam-45	132	49	)	)	PUNCT
ejpam-45	132	50	h(t)≥	h(t)≥	PROPN
ejpam-45	133	1	(	(	PUNCT
ejpam-45	133	2	≤)(α+	≤)(α+	ADV
ejpam-45	133	3	β	β	X
ejpam-45	133	4	−	−	NOUN
ejpam-45	133	5	1	1	NUM
ejpam-45	133	6	)	)	SYM
ejpam-45	133	7	1	1	NUM
ejpam-45	133	8	α+β−2	α+β−2	VERB
ejpam-45	133	9	exp	exp	DET
ejpam-45	133	10	�	�	PROPN
ejpam-45	133	11	−	−	PROPN
ejpam-45	133	12	α−β	α−β	PROPN
ejpam-45	133	13	α+β−2	α+β−2	NOUN
ejpam-45	133	14	hν(α	hν(α	NOUN
ejpam-45	133	15	,	,	PUNCT
ejpam-45	133	16	β	β	X
ejpam-45	133	17	,	,	PUNCT
ejpam-45	133	18	t	t	PROPN
ejpam-45	133	19	)	)	PUNCT
ejpam-45	133	20	�	�	PROPN
ejpam-45	133	21	if	if	SCONJ
ejpam-45	133	22	α+	α+	PRON
ejpam-45	133	23	β	β	X
ejpam-45	133	24	<	<	X
ejpam-45	133	25	2	2	NUM
ejpam-45	133	26	.	.	PUNCT
ejpam-45	133	27	proof	proof	NOUN
ejpam-45	133	28	:	:	PUNCT
ejpam-45	133	29	if	if	SCONJ
ejpam-45	133	30	t	t	PROPN
ejpam-45	133	31	is	be	AUX
ejpam-45	133	32	iverl(α	iverl(α	PROPN
ejpam-45	133	33	,	,	PUNCT
ejpam-45	133	34	β	β	NOUN
ejpam-45	133	35	)	)	PUNCT
ejpam-45	133	36	,	,	PUNCT
ejpam-45	133	37	then	then	ADV
ejpam-45	133	38	h	h	NOUN
ejpam-45	134	1	′	′	NUM
ejpam-45	135	1	ν(α	ν(α	PROPN
ejpam-45	135	2	,	,	PUNCT
ejpam-45	135	3	β	β	X
ejpam-45	135	4	,	,	PUNCT
ejpam-45	135	5	t)≥	t)≥	PROPN
ejpam-45	135	6	0	0	NUM
ejpam-45	135	7	which	which	PRON
ejpam-45	135	8	gives	give	VERB
ejpam-45	135	9	hα+β−2(t)≤	hα+β−2(t)≤	NOUN
ejpam-45	135	10	(	(	PUNCT
ejpam-45	135	11	α+	α+	X
ejpam-45	135	12	β	β	NOUN
ejpam-45	135	13	−	−	PROPN
ejpam-45	135	14	1)exp	1)exp	NUM
ejpam-45	135	15	�	�	PROPN
ejpam-45	135	16	(	(	PUNCT
ejpam-45	135	17	β	β	X
ejpam-45	135	18	−α)hν(α	−α)hν(α	X
ejpam-45	135	19	,	,	PUNCT
ejpam-45	135	20	β	β	X
ejpam-45	135	21	,	,	PUNCT
ejpam-45	135	22	t	t	PROPN
ejpam-45	135	23	)	)	PUNCT
ejpam-45	135	24	�	�	PROPN
ejpam-45	135	25	.	.	PUNCT
ejpam-45	136	1	m.	m.	PROPN
ejpam-45	136	2	a.	a.	PROPN
ejpam-45	136	3	k.	k.	PROPN
ejpam-45	136	4	baig	baig	PROPN
ejpam-45	136	5	and	and	CCONJ
ejpam-45	136	6	j.	j.	PROPN
ejpam-45	136	7	d.	d.	PROPN
ejpam-45	136	8	gar	gar	PROPN
ejpam-45	136	9	/	/	SYM
ejpam-45	136	10	eur	eur	PROPN
ejpam-45	136	11	.	.	PUNCT
ejpam-45	137	1	j.	j.	PROPN
ejpam-45	137	2	pure	pure	PROPN
ejpam-45	137	3	appl	appl	PROPN
ejpam-45	137	4	.	.	PROPN
ejpam-45	137	5	math	math	PROPN
ejpam-45	137	6	,	,	PUNCT
ejpam-45	137	7	1	1	NUM
ejpam-45	137	8	(	(	PUNCT
ejpam-45	137	9	2008	2008	NUM
ejpam-45	137	10	)	)	PUNCT
ejpam-45	137	11	,	,	PUNCT
ejpam-45	137	12	(	(	PUNCT
ejpam-45	137	13	30	30	NUM
ejpam-45	137	14	-	-	SYM
ejpam-45	137	15	40	40	NUM
ejpam-45	137	16	)	)	PUNCT
ejpam-45	137	17	37	37	NUM
ejpam-45	137	18	similarly	similarly	ADV
ejpam-45	137	19	,	,	PUNCT
ejpam-45	137	20	if	if	SCONJ
ejpam-45	137	21	t	t	PROPN
ejpam-45	137	22	is	be	AUX
ejpam-45	137	23	dverl(α	dverl(α	PROPN
ejpam-45	137	24	,	,	PUNCT
ejpam-45	137	25	β	β	NOUN
ejpam-45	137	26	)	)	PUNCT
ejpam-45	137	27	,	,	PUNCT
ejpam-45	137	28	then	then	ADV
ejpam-45	137	29	hα+β−2(t)≥	hα+β−2(t)≥	PROPN
ejpam-45	137	30	(	(	PUNCT
ejpam-45	137	31	α+	α+	X
ejpam-45	137	32	β	β	NOUN
ejpam-45	137	33	−	−	PROPN
ejpam-45	137	34	1)exp	1)exp	NUM
ejpam-45	137	35	�	�	PROPN
ejpam-45	137	36	(	(	PUNCT
ejpam-45	137	37	β	β	X
ejpam-45	137	38	−α)hν(α	−α)hν(α	X
ejpam-45	137	39	,	,	PUNCT
ejpam-45	137	40	β	β	X
ejpam-45	137	41	,	,	PUNCT
ejpam-45	137	42	t	t	PROPN
ejpam-45	137	43	)	)	PUNCT
ejpam-45	137	44	�	�	PROPN
ejpam-45	137	45	.	.	PUNCT
ejpam-45	138	1	case	case	NOUN
ejpam-45	139	1	i	i	PRON
ejpam-45	139	2	:	:	PUNCT
ejpam-45	139	3	if	if	SCONJ
ejpam-45	139	4	α+	α+	X
ejpam-45	139	5	β	β	X
ejpam-45	139	6	>	>	X
ejpam-45	139	7	2	2	NUM
ejpam-45	139	8	and	and	CCONJ
ejpam-45	139	9	t	t	PROPN
ejpam-45	139	10	is	be	AUX
ejpam-45	139	11	iverl(α	iverl(α	PROPN
ejpam-45	139	12	,	,	PUNCT
ejpam-45	139	13	β)(dverl(α	β)(dverl(α	PROPN
ejpam-45	139	14	,	,	PUNCT
ejpam-45	139	15	β	β	NOUN
ejpam-45	139	16	)	)	PUNCT
ejpam-45	139	17	)	)	PUNCT
ejpam-45	139	18	,	,	PUNCT
ejpam-45	139	19	then	then	ADV
ejpam-45	139	20	h(t)≤	h(t)≤	VERB
ejpam-45	139	21	(	(	PUNCT
ejpam-45	139	22	≥)(α+	≥)(α+	X
ejpam-45	139	23	β	β	X
ejpam-45	139	24	−	−	NOUN
ejpam-45	139	25	1	1	NUM
ejpam-45	139	26	)	)	SYM
ejpam-45	139	27	1	1	NUM
ejpam-45	139	28	α+β−2	α+β−2	VERB
ejpam-45	139	29	exp	exp	NOUN
ejpam-45	139	30	�	�	PROPN
ejpam-45	139	31	−	−	PROPN
ejpam-45	139	32	α−	α−	ADP
ejpam-45	139	33	β	β	PRON
ejpam-45	139	34	α+	α+	X
ejpam-45	139	35	β	β	NOUN
ejpam-45	139	36	−	−	NOUN
ejpam-45	139	37	2	2	NUM
ejpam-45	139	38	hν(α	hν(α	X
ejpam-45	139	39	,	,	PUNCT
ejpam-45	139	40	β	β	X
ejpam-45	139	41	,	,	PUNCT
ejpam-45	139	42	t	t	PROPN
ejpam-45	139	43	)	)	PUNCT
ejpam-45	139	44	�	�	PROPN
ejpam-45	139	45	(	(	PUNCT
ejpam-45	139	46	3.1	3.1	NUM
ejpam-45	139	47	)	)	PUNCT
ejpam-45	139	48	case	case	NOUN
ejpam-45	139	49	ii	ii	NOUN
ejpam-45	139	50	:	:	PUNCT
ejpam-45	139	51	if	if	SCONJ
ejpam-45	139	52	α+	α+	ADP
ejpam-45	139	53	β	β	X
ejpam-45	139	54	<	<	X
ejpam-45	139	55	2	2	NUM
ejpam-45	139	56	and	and	CCONJ
ejpam-45	139	57	t	t	PROPN
ejpam-45	139	58	is	be	AUX
ejpam-45	139	59	iverl(α	iverl(α	PROPN
ejpam-45	139	60	,	,	PUNCT
ejpam-45	139	61	β)(dverl(α	β)(dverl(α	PROPN
ejpam-45	139	62	,	,	PUNCT
ejpam-45	139	63	β	β	NOUN
ejpam-45	139	64	)	)	PUNCT
ejpam-45	139	65	)	)	PUNCT
ejpam-45	139	66	,	,	PUNCT
ejpam-45	139	67	then	then	ADV
ejpam-45	139	68	h(t)≥	h(t)≥	PROPN
ejpam-45	139	69	(	(	PUNCT
ejpam-45	139	70	≤)(α+	≤)(α+	ADV
ejpam-45	139	71	β	β	NOUN
ejpam-45	139	72	−	−	NOUN
ejpam-45	139	73	1	1	NUM
ejpam-45	139	74	)	)	SYM
ejpam-45	139	75	1	1	NUM
ejpam-45	139	76	α+β−2	α+β−2	VERB
ejpam-45	139	77	exp	exp	NOUN
ejpam-45	139	78	�	�	PROPN
ejpam-45	139	79	−	−	PROPN
ejpam-45	139	80	α−	α−	ADP
ejpam-45	139	81	β	β	PRON
ejpam-45	139	82	α+	α+	X
ejpam-45	139	83	β	β	NOUN
ejpam-45	139	84	−	−	NOUN
ejpam-45	139	85	2	2	NUM
ejpam-45	139	86	hν(α	hν(α	X
ejpam-45	139	87	,	,	PUNCT
ejpam-45	139	88	β	β	X
ejpam-45	139	89	,	,	PUNCT
ejpam-45	139	90	t	t	PROPN
ejpam-45	139	91	)	)	PUNCT
ejpam-45	139	92	�	�	PROPN
ejpam-45	139	93	(	(	PUNCT
ejpam-45	139	94	3.2	3.2	NUM
ejpam-45	139	95	)	)	PUNCT
ejpam-45	139	96	remark	remark	NOUN
ejpam-45	139	97	:	:	PUNCT
ejpam-45	139	98	for	for	ADP
ejpam-45	139	99	β	β	X
ejpam-45	139	100	=	=	SYM
ejpam-45	139	101	1	1	NUM
ejpam-45	139	102	,	,	PUNCT
ejpam-45	139	103	(	(	PUNCT
ejpam-45	139	104	19	19	NUM
ejpam-45	139	105	)	)	PUNCT
ejpam-45	139	106	reduces	reduce	VERB
ejpam-45	139	107	to	to	PART
ejpam-45	139	108	h(t)≤	h(t)≤	VERB
ejpam-45	139	109	(	(	PUNCT
ejpam-45	139	110	≥)(α	≥)(α	ADV
ejpam-45	139	111	)	)	PUNCT
ejpam-45	139	112	1	1	NUM
ejpam-45	139	113	α−1	α−1	PROPN
ejpam-45	139	114	exp	exp	NOUN
ejpam-45	139	115	�	�	PROPN
ejpam-45	139	116	−hν(α	−hν(α	PROPN
ejpam-45	139	117	,	,	PUNCT
ejpam-45	139	118	t	t	PROPN
ejpam-45	139	119	)	)	PUNCT
ejpam-45	139	120	�	�	PROPN
ejpam-45	139	121	,	,	PUNCT
ejpam-45	139	122	which	which	PRON
ejpam-45	139	123	is	be	AUX
ejpam-45	139	124	given	give	VERB
ejpam-45	139	125	by	by	ADP
ejpam-45	139	126	baig	baig	PROPN
ejpam-45	139	127	and	and	CCONJ
ejpam-45	139	128	dar[2	dar[2	PROPN
ejpam-45	139	129	]	]	PUNCT
ejpam-45	139	130	.	.	PUNCT
ejpam-45	140	1	remark	remark	NOUN
ejpam-45	140	2	:	:	PUNCT
ejpam-45	140	3	for	for	ADP
ejpam-45	140	4	β	β	X
ejpam-45	140	5	=	=	SYM
ejpam-45	140	6	1	1	NUM
ejpam-45	140	7	,	,	PUNCT
ejpam-45	140	8	α→	α→	PROPN
ejpam-45	140	9	1	1	NUM
ejpam-45	140	10	(	(	PUNCT
ejpam-45	140	11	19	19	NUM
ejpam-45	140	12	)	)	PUNCT
ejpam-45	140	13	reduce	reduce	VERB
ejpam-45	140	14	to	to	ADP
ejpam-45	140	15	h(t)≤	h(t)≤	PROPN
ejpam-45	140	16	(	(	PUNCT
ejpam-45	140	17	≥)exp(−h(t	≥)exp(−h(t	PROPN
ejpam-45	140	18	,	,	PUNCT
ejpam-45	140	19	t	t	PROPN
ejpam-45	140	20	)	)	PUNCT
ejpam-45	140	21	)	)	PUNCT
ejpam-45	140	22	,	,	PUNCT
ejpam-45	140	23	which	which	PRON
ejpam-45	140	24	is	be	AUX
ejpam-45	140	25	given	give	VERB
ejpam-45	140	26	by	by	ADP
ejpam-45	140	27	ebrahimi	ebrahimi	PROPN
ejpam-45	141	1	[	[	X
ejpam-45	141	2	4	4	NUM
ejpam-45	141	3	]	]	PUNCT
ejpam-45	141	4	.	.	PUNCT
ejpam-45	142	1	4	4	X
ejpam-45	142	2	.	.	X
ejpam-45	142	3	applications	application	NOUN
ejpam-45	142	4	:	:	PUNCT
ejpam-45	142	5	let	let	VERB
ejpam-45	142	6	t	t	NOUN
ejpam-45	142	7	be	be	AUX
ejpam-45	142	8	a	a	DET
ejpam-45	142	9	discrete	discrete	ADJ
ejpam-45	142	10	random	random	ADJ
ejpam-45	142	11	variable	variable	NOUN
ejpam-45	142	12	taking	take	VERB
ejpam-45	142	13	values	value	NOUN
ejpam-45	142	14	t1	t1	PROPN
ejpam-45	142	15	,	,	PUNCT
ejpam-45	142	16	t2	t2	NOUN
ejpam-45	142	17	,	,	PUNCT
ejpam-45	142	18	·	·	PUNCT
ejpam-45	142	19	·	·	PUNCT
ejpam-45	142	20	·	·	PUNCT
ejpam-45	142	21	,	,	PUNCT
ejpam-45	142	22	tn	tn	NOUN
ejpam-45	142	23	with	with	ADP
ejpam-45	142	24	respective	respective	ADJ
ejpam-45	142	25	probabilities	probability	NOUN
ejpam-45	142	26	p1	p1	NOUN
ejpam-45	142	27	,	,	PUNCT
ejpam-45	142	28	p2	p2	NOUN
ejpam-45	142	29	,	,	PUNCT
ejpam-45	142	30	·	·	PUNCT
ejpam-45	142	31	·	·	PUNCT
ejpam-45	142	32	·	·	PUNCT
ejpam-45	142	33	,	,	PUNCT
ejpam-45	142	34	pn	pn	PROPN
ejpam-45	142	35	.	.	PUNCT
ejpam-45	143	1	the	the	DET
ejpam-45	143	2	discrete	discrete	ADJ
ejpam-45	143	3	residual	residual	ADJ
ejpam-45	143	4	entropy	entropy	NOUN
ejpam-45	143	5	is	be	AUX
ejpam-45	143	6	defined	define	VERB
ejpam-45	143	7	as	as	ADP
ejpam-45	143	8	h(p	h(p	NOUN
ejpam-45	143	9	,	,	PUNCT
ejpam-45	143	10	j	j	NOUN
ejpam-45	143	11	)	)	PUNCT
ejpam-45	144	1	=	=	NOUN
ejpam-45	144	2	−	−	PROPN
ejpam-45	144	3	n	n	ADP
ejpam-45	144	4	∑	∑	PUNCT
ejpam-45	144	5	k=	k=	X
ejpam-45	144	6	j	j	PROPN
ejpam-45	144	7	pk	pk	X
ejpam-45	144	8	r	r	PROPN
ejpam-45	144	9	(	(	PUNCT
ejpam-45	144	10	j	j	NOUN
ejpam-45	144	11	)	)	PUNCT
ejpam-45	144	12	log	log	PROPN
ejpam-45	144	13	�	�	PROPN
ejpam-45	144	14	pk	pk	NOUN
ejpam-45	144	15	r	r	PROPN
ejpam-45	144	16	(	(	PUNCT
ejpam-45	144	17	j	j	PROPN
ejpam-45	144	18	)	)	PUNCT
ejpam-45	144	19	�	�	PROPN
ejpam-45	144	20	(	(	PUNCT
ejpam-45	144	21	4.1	4.1	NUM
ejpam-45	144	22	)	)	PUNCT
ejpam-45	144	23	the	the	DET
ejpam-45	144	24	verma	verma	PROPN
ejpam-45	144	25	’s	’s	PART
ejpam-45	144	26	residual	residual	ADJ
ejpam-45	144	27	entropy	entropy	NOUN
ejpam-45	144	28	for	for	ADP
ejpam-45	144	29	discrete	discrete	ADJ
ejpam-45	144	30	case	case	NOUN
ejpam-45	144	31	is	be	AUX
ejpam-45	144	32	defined	define	VERB
ejpam-45	144	33	as	as	ADP
ejpam-45	144	34	hν(α	hν(α	NOUN
ejpam-45	144	35	,	,	PUNCT
ejpam-45	144	36	β	β	X
ejpam-45	144	37	,	,	PUNCT
ejpam-45	144	38	j	j	PROPN
ejpam-45	144	39	)	)	PUNCT
ejpam-45	144	40	=	=	SYM
ejpam-45	145	1	1	1	NUM
ejpam-45	145	2	β	β	X
ejpam-45	145	3	−α	−α	NOUN
ejpam-45	145	4	log	log	NOUN
ejpam-45	145	5			NOUN
ejpam-45	145	6			NOUN
ejpam-45	145	7			PROPN
ejpam-45	145	8	n	n	CCONJ
ejpam-45	145	9	∑	∑	PUNCT
ejpam-45	145	10	k=	k=	PROPN
ejpam-45	145	11	j	j	PROPN
ejpam-45	145	12	pα+β−1	pα+β−1	VERB
ejpam-45	145	13	k	k	X
ejpam-45	145	14	rα+β−1	rα+β−1	PROPN
ejpam-45	145	15	(	(	PUNCT
ejpam-45	145	16	j	j	NOUN
ejpam-45	145	17	)	)	PUNCT
ejpam-45	145	18			PROPN
ejpam-45	145	19			NOUN
ejpam-45	145	20			PUNCT
ejpam-45	146	1	(	(	PUNCT
ejpam-45	146	2	4.2	4.2	NUM
ejpam-45	146	3	)	)	PUNCT
ejpam-45	146	4	for	for	ADP
ejpam-45	146	5	β	β	X
ejpam-45	146	6	=	=	SYM
ejpam-45	146	7	1,α→	1,α→	NUM
ejpam-45	146	8	1	1	NUM
ejpam-45	146	9	,	,	PUNCT
ejpam-45	146	10	(	(	PUNCT
ejpam-45	146	11	22	22	NUM
ejpam-45	146	12	)	)	PUNCT
ejpam-45	146	13	reduces	reduce	VERB
ejpam-45	146	14	to	to	ADP
ejpam-45	146	15	(	(	PUNCT
ejpam-45	146	16	21	21	NUM
ejpam-45	146	17	)	)	PUNCT
ejpam-45	146	18	.	.	PUNCT
ejpam-45	147	1	theorem	theorem	VERB
ejpam-45	147	2	4.1	4.1	NUM
ejpam-45	147	3	:	:	PUNCT
ejpam-45	147	4	if	if	SCONJ
ejpam-45	147	5	t	t	PROPN
ejpam-45	147	6	has	have	VERB
ejpam-45	147	7	a	a	DET
ejpam-45	147	8	discrete	discrete	ADJ
ejpam-45	147	9	distribution	distribution	NOUN
ejpam-45	147	10	f(t	f(t	NOUN
ejpam-45	147	11	)	)	PUNCT
ejpam-45	147	12	with	with	ADP
ejpam-45	147	13	support	support	NOUN
ejpam-45	147	14	(	(	PUNCT
ejpam-45	147	15	t	t	PROPN
ejpam-45	147	16	j	j	PROPN
ejpam-45	147	17	:	:	PUNCT
ejpam-45	147	18	t	t	PROPN
ejpam-45	147	19	j	j	PROPN
ejpam-45	147	20	<	<	X
ejpam-45	147	21	t	t	PROPN
ejpam-45	147	22	j+1	j+1	NUM
ejpam-45	147	23	)	)	PUNCT
ejpam-45	147	24	and	and	CCONJ
ejpam-45	147	25	an	an	DET
ejpam-45	147	26	increasing	increase	VERB
ejpam-45	147	27	varma	varma	PROPN
ejpam-45	147	28	’s	’s	PART
ejpam-45	147	29	entropy	entropy	NOUN
ejpam-45	147	30	hν(α	hν(α	PROPN
ejpam-45	147	31	,	,	PUNCT
ejpam-45	147	32	β	β	X
ejpam-45	147	33	,	,	PUNCT
ejpam-45	147	34	t	t	PROPN
ejpam-45	147	35	)	)	PUNCT
ejpam-45	147	36	,	,	PUNCT
ejpam-45	147	37	then	then	ADV
ejpam-45	147	38	hν(α	hν(α	PUNCT
ejpam-45	147	39	,	,	PUNCT
ejpam-45	147	40	β	β	X
ejpam-45	147	41	,	,	PUNCT
ejpam-45	147	42	t	t	PROPN
ejpam-45	147	43	)	)	PUNCT
ejpam-45	147	44	uniquely	uniquely	ADV
ejpam-45	147	45	determines	determine	VERB
ejpam-45	147	46	f(t	f(t	NOUN
ejpam-45	147	47	)	)	PUNCT
ejpam-45	147	48	.	.	PUNCT
ejpam-45	148	1	proof	proof	NOUN
ejpam-45	148	2	:	:	PUNCT
ejpam-45	148	3	we	we	PRON
ejpam-45	148	4	have	have	VERB
ejpam-45	148	5	hν(α	hν(α	NOUN
ejpam-45	148	6	,	,	PUNCT
ejpam-45	148	7	β	β	X
ejpam-45	148	8	,	,	PUNCT
ejpam-45	148	9	j	j	PROPN
ejpam-45	148	10	)	)	PUNCT
ejpam-45	148	11	=	=	SYM
ejpam-45	149	1	1	1	NUM
ejpam-45	149	2	β	β	X
ejpam-45	149	3	−α	−α	NOUN
ejpam-45	149	4	log	log	NOUN
ejpam-45	149	5			NOUN
ejpam-45	149	6			NOUN
ejpam-45	149	7			PROPN
ejpam-45	149	8	n	n	CCONJ
ejpam-45	149	9	∑	∑	PUNCT
ejpam-45	149	10	k=	k=	PROPN
ejpam-45	149	11	j	j	PROPN
ejpam-45	149	12	pα+β−1	pα+β−1	AUX
ejpam-45	149	13	k	k	X
ejpam-45	149	14	rα+β−1	rα+β−1	PROPN
ejpam-45	149	15	(	(	PUNCT
ejpam-45	149	16	j	j	NOUN
ejpam-45	149	17	)	)	PUNCT
ejpam-45	149	18			PROPN
ejpam-45	149	19			NOUN
ejpam-45	149	20			PUNCT
ejpam-45	149	21	or	or	CCONJ
ejpam-45	149	22	n	n	CCONJ
ejpam-45	149	23	∑	∑	ADV
ejpam-45	149	24	k=	k=	PROPN
ejpam-45	149	25	j	j	PROPN
ejpam-45	149	26	pα+β−1	pα+β−1	VERB
ejpam-45	149	27	k	k	NOUN
ejpam-45	149	28	=	=	PUNCT
ejpam-45	149	29	rα+β−1	rα+β−1	PROPN
ejpam-45	149	30	(	(	PUNCT
ejpam-45	149	31	j)exp((β	j)exp((β	NOUN
ejpam-45	149	32	−α)hν(α	−α)hν(α	PROPN
ejpam-45	149	33	,	,	PUNCT
ejpam-45	149	34	β	β	X
ejpam-45	149	35	,	,	PUNCT
ejpam-45	149	36	j	j	PROPN
ejpam-45	149	37	)	)	PUNCT
ejpam-45	149	38	)	)	PUNCT
ejpam-45	150	1	(	(	PUNCT
ejpam-45	150	2	4.3	4.3	NUM
ejpam-45	150	3	)	)	PUNCT
ejpam-45	150	4	m.	m.	NOUN
ejpam-45	150	5	a.	a.	PROPN
ejpam-45	150	6	k.	k.	PROPN
ejpam-45	150	7	baig	baig	PROPN
ejpam-45	150	8	and	and	CCONJ
ejpam-45	150	9	j.	j.	PROPN
ejpam-45	150	10	d.	d.	PROPN
ejpam-45	150	11	gar	gar	PROPN
ejpam-45	150	12	/	/	SYM
ejpam-45	150	13	eur	eur	PROPN
ejpam-45	150	14	.	.	PUNCT
ejpam-45	151	1	j.	j.	PROPN
ejpam-45	151	2	pure	pure	PROPN
ejpam-45	151	3	appl	appl	PROPN
ejpam-45	151	4	.	.	PROPN
ejpam-45	151	5	math	math	PROPN
ejpam-45	151	6	,	,	PUNCT
ejpam-45	151	7	1	1	NUM
ejpam-45	151	8	(	(	PUNCT
ejpam-45	151	9	2008	2008	NUM
ejpam-45	151	10	)	)	PUNCT
ejpam-45	151	11	,	,	PUNCT
ejpam-45	151	12	(	(	PUNCT
ejpam-45	151	13	30	30	NUM
ejpam-45	151	14	-	-	SYM
ejpam-45	151	15	40	40	NUM
ejpam-45	151	16	)	)	PUNCT
ejpam-45	151	17	38	38	NUM
ejpam-45	151	18	for	for	ADP
ejpam-45	151	19	j+	j+	PROPN
ejpam-45	151	20	1	1	NUM
ejpam-45	151	21	,	,	PUNCT
ejpam-45	151	22	we	we	PRON
ejpam-45	151	23	have	have	AUX
ejpam-45	151	24	n	n	NUM
ejpam-45	151	25	∑	∑	PUNCT
ejpam-45	151	26	k=	k=	DET
ejpam-45	151	27	j+1	j+1	ADJ
ejpam-45	151	28	pα+β−1	pα+β−1	NOUN
ejpam-45	151	29	k	k	NOUN
ejpam-45	151	30	=	=	PUNCT
ejpam-45	151	31	rα+β−1	rα+β−1	NOUN
ejpam-45	151	32	(	(	PUNCT
ejpam-45	151	33	j+	j+	NUM
ejpam-45	151	34	1)exp((β	1)exp((β	NUM
ejpam-45	151	35	−α)hν(α	−α)hν(α	NUM
ejpam-45	151	36	,	,	PUNCT
ejpam-45	151	37	β	β	X
ejpam-45	151	38	,	,	PUNCT
ejpam-45	151	39	j+	j+	NUM
ejpam-45	151	40	1	1	NUM
ejpam-45	151	41	)	)	PUNCT
ejpam-45	151	42	)	)	PUNCT
ejpam-45	151	43	(	(	PUNCT
ejpam-45	151	44	4.4	4.4	X
ejpam-45	151	45	)	)	PUNCT
ejpam-45	151	46	subtracting	subtract	VERB
ejpam-45	151	47	(	(	PUNCT
ejpam-45	151	48	24	24	NUM
ejpam-45	151	49	)	)	PUNCT
ejpam-45	151	50	from	from	ADP
ejpam-45	151	51	(	(	PUNCT
ejpam-45	151	52	23	23	NUM
ejpam-45	151	53	)	)	PUNCT
ejpam-45	151	54	,	,	PUNCT
ejpam-45	151	55	we	we	PRON
ejpam-45	151	56	have	have	AUX
ejpam-45	151	57	pα+β−1	pα+β−1	VERB
ejpam-45	151	58	j	j	NOUN
ejpam-45	151	59	=	=	PUNCT
ejpam-45	151	60	rα+β−1	rα+β−1	PROPN
ejpam-45	151	61	(	(	PUNCT
ejpam-45	151	62	j)exp((β	j)exp((β	NOUN
ejpam-45	151	63	−α)hν(α	−α)hν(α	PROPN
ejpam-45	151	64	,	,	PUNCT
ejpam-45	151	65	β	β	X
ejpam-45	151	66	,	,	PUNCT
ejpam-45	151	67	j))−	j))−	VERB
ejpam-45	151	68	rα+β−1	rα+β−1	NOUN
ejpam-45	151	69	(	(	PUNCT
ejpam-45	151	70	j+	j+	NUM
ejpam-45	151	71	1)exp((β	1)exp((β	NUM
ejpam-45	151	72	−α)hν(α	−α)hν(α	NUM
ejpam-45	151	73	,	,	PUNCT
ejpam-45	151	74	β	β	X
ejpam-45	151	75	,	,	PUNCT
ejpam-45	151	76	j+	j+	NUM
ejpam-45	151	77	1	1	NUM
ejpam-45	151	78	)	)	PUNCT
ejpam-45	151	79	)	)	PUNCT
ejpam-45	152	1	using	use	VERB
ejpam-45	152	2	pj	pj	PROPN
ejpam-45	152	3	=	=	SYM
ejpam-45	152	4	r	r	PROPN
ejpam-45	152	5	(	(	PUNCT
ejpam-45	152	6	j)−	j)−	NOUN
ejpam-45	152	7	r	r	PROPN
ejpam-45	152	8	(	(	PUNCT
ejpam-45	152	9	j+	j+	PROPN
ejpam-45	152	10	1	1	NUM
ejpam-45	152	11	)	)	PUNCT
ejpam-45	152	12	,	,	PUNCT
ejpam-45	152	13	we	we	PRON
ejpam-45	152	14	get	get	VERB
ejpam-45	152	15	(	(	PUNCT
ejpam-45	152	16	r	r	NOUN
ejpam-45	152	17	(	(	PUNCT
ejpam-45	152	18	j)−r	j)−r	NOUN
ejpam-45	152	19	(	(	PUNCT
ejpam-45	152	20	j+1))α+β−1	j+1))α+β−1	NOUN
ejpam-45	152	21	=	=	SYM
ejpam-45	152	22	rα+β−1	rα+β−1	PROPN
ejpam-45	152	23	(	(	PUNCT
ejpam-45	152	24	j)exp((β−α)hν(α	j)exp((β−α)hν(α	X
ejpam-45	152	25	,	,	PUNCT
ejpam-45	152	26	β	β	X
ejpam-45	152	27	,	,	PUNCT
ejpam-45	152	28	j))−rα+β−1	j))−rα+β−1	PROPN
ejpam-45	152	29	(	(	PUNCT
ejpam-45	152	30	j+1)exp((β−α)hν(α	j+1)exp((β−α)hν(α	X
ejpam-45	152	31	,	,	PUNCT
ejpam-45	152	32	β	β	X
ejpam-45	152	33	,	,	PUNCT
ejpam-45	152	34	j+1	j+1	NOUN
ejpam-45	152	35	)	)	PUNCT
ejpam-45	152	36	)	)	PUNCT
ejpam-45	152	37	or	or	CCONJ
ejpam-45	152	38	exp((β	exp((β	PROPN
ejpam-45	152	39	−α)hν(α	−α)hν(α	PROPN
ejpam-45	152	40	,	,	PUNCT
ejpam-45	152	41	β	β	X
ejpam-45	152	42	,	,	PUNCT
ejpam-45	152	43	j	j	PROPN
ejpam-45	152	44	)	)	PUNCT
ejpam-45	152	45	)	)	PUNCT
ejpam-45	153	1	=	=	PUNCT
ejpam-45	153	2	(	(	PUNCT
ejpam-45	153	3	1−	1−	NUM
ejpam-45	153	4	h	h	PROPN
ejpam-45	153	5	j	j	PROPN
ejpam-45	153	6	)	)	PUNCT
ejpam-45	153	7	α+β−1	α+β−1	PROPN
ejpam-45	154	1	+	+	PROPN
ejpam-45	154	2	hα+β−1	hα+β−1	PROPN
ejpam-45	154	3	j	j	PROPN
ejpam-45	154	4	exp((β	exp((β	PROPN
ejpam-45	154	5	−α)hν(α	−α)hν(α	PROPN
ejpam-45	154	6	,	,	PUNCT
ejpam-45	154	7	β	β	X
ejpam-45	154	8	,	,	PUNCT
ejpam-45	154	9	j+	j+	NUM
ejpam-45	154	10	1	1	NUM
ejpam-45	154	11	)	)	PUNCT
ejpam-45	154	12	)	)	PUNCT
ejpam-45	154	13	where	where	SCONJ
ejpam-45	154	14	h	h	NOUN
ejpam-45	154	15	j	j	PROPN
ejpam-45	154	16	=	=	SYM
ejpam-45	154	17	r	r	PROPN
ejpam-45	154	18	(	(	PUNCT
ejpam-45	154	19	j+1	j+1	ADJ
ejpam-45	154	20	)	)	PUNCT
ejpam-45	154	21	r	r	NOUN
ejpam-45	154	22	(	(	PUNCT
ejpam-45	154	23	j	j	NOUN
ejpam-45	154	24	)	)	PUNCT
ejpam-45	154	25	∈	∈	PROPN
ejpam-45	154	26	(	(	PUNCT
ejpam-45	154	27	0	0	NUM
ejpam-45	154	28	,	,	PUNCT
ejpam-45	154	29	1	1	NUM
ejpam-45	154	30	)	)	PUNCT
ejpam-45	154	31	,	,	PUNCT
ejpam-45	154	32	which	which	PRON
ejpam-45	154	33	is	be	AUX
ejpam-45	154	34	the	the	DET
ejpam-45	154	35	solution	solution	NOUN
ejpam-45	154	36	of	of	ADP
ejpam-45	154	37	the	the	DET
ejpam-45	154	38	following	follow	VERB
ejpam-45	154	39	equation	equation	NOUN
ejpam-45	154	40	g(x	g(x	NOUN
ejpam-45	154	41	)	)	PUNCT
ejpam-45	155	1	=	=	PUNCT
ejpam-45	155	2	(	(	PUNCT
ejpam-45	155	3	1−	1−	NUM
ejpam-45	155	4	x)α+β−1	x)α+β−1	PUNCT
ejpam-45	155	5	+	+	CCONJ
ejpam-45	155	6	xα+β−1	xα+β−1	PROPN
ejpam-45	155	7	exp((β	exp((β	PROPN
ejpam-45	155	8	−α)hν(α	−α)hν(α	PROPN
ejpam-45	155	9	,	,	PUNCT
ejpam-45	155	10	β	β	X
ejpam-45	155	11	,	,	PUNCT
ejpam-45	155	12	j+	j+	NUM
ejpam-45	155	13	1	1	NUM
ejpam-45	155	14	)	)	PUNCT
ejpam-45	155	15	)	)	PUNCT
ejpam-45	155	16	(	(	PUNCT
ejpam-45	155	17	4.5	4.5	NUM
ejpam-45	155	18	)	)	PUNCT
ejpam-45	155	19	−	−	PROPN
ejpam-45	155	20	exp((β	exp((β	PROPN
ejpam-45	155	21	−α)hν(α	−α)hν(α	PROPN
ejpam-45	155	22	,	,	PUNCT
ejpam-45	155	23	β	β	X
ejpam-45	155	24	,	,	PUNCT
ejpam-45	155	25	j	j	PROPN
ejpam-45	155	26	)	)	PUNCT
ejpam-45	155	27	)	)	PUNCT
ejpam-45	156	1	=	=	SYM
ejpam-45	156	2	0	0	X
ejpam-45	156	3	differentiating	differentiate	VERB
ejpam-45	156	4	both	both	DET
ejpam-45	156	5	sides	side	NOUN
ejpam-45	156	6	with	with	ADP
ejpam-45	156	7	respect	respect	NOUN
ejpam-45	156	8	to	to	ADP
ejpam-45	156	9	x	x	SYM
ejpam-45	156	10	,	,	PUNCT
ejpam-45	156	11	we	we	PRON
ejpam-45	156	12	have	have	VERB
ejpam-45	156	13	g	g	PROPN
ejpam-45	156	14	′	′	NUM
ejpam-45	156	15	(	(	PUNCT
ejpam-45	156	16	x	x	X
ejpam-45	156	17	)	)	PUNCT
ejpam-45	156	18	=	=	PUNCT
ejpam-45	157	1	−(α+	−(α+	NOUN
ejpam-45	157	2	β	β	X
ejpam-45	157	3	−	−	PROPN
ejpam-45	157	4	1)(1−	1)(1−	NUM
ejpam-45	157	5	x)α+β−2	x)α+β−2	X
ejpam-45	157	6	(	(	PUNCT
ejpam-45	157	7	4.6	4.6	NUM
ejpam-45	157	8	)	)	PUNCT
ejpam-45	157	9	+	+	CCONJ
ejpam-45	157	10	(	(	PUNCT
ejpam-45	157	11	α+	α+	X
ejpam-45	157	12	β	β	NOUN
ejpam-45	157	13	−	−	PROPN
ejpam-45	157	14	1)xα+β−2	1)xα+β−2	NUM
ejpam-45	157	15	exp((β	exp((β	PROPN
ejpam-45	157	16	−α)hν(α	−α)hν(α	PROPN
ejpam-45	157	17	,	,	PUNCT
ejpam-45	157	18	β	β	X
ejpam-45	157	19	,	,	PUNCT
ejpam-45	157	20	j+	j+	NUM
ejpam-45	157	21	1	1	NUM
ejpam-45	157	22	)	)	PUNCT
ejpam-45	157	23	)	)	PUNCT
ejpam-45	157	24	note	note	VERB
ejpam-45	157	25	that	that	SCONJ
ejpam-45	157	26	g	g	PROPN
ejpam-45	157	27	′	′	NUM
ejpam-45	157	28	(	(	PUNCT
ejpam-45	157	29	x	x	X
ejpam-45	157	30	)	)	PUNCT
ejpam-45	157	31	=	=	SYM
ejpam-45	157	32	0	0	NUM
ejpam-45	157	33	,	,	PUNCT
ejpam-45	157	34	gives	give	VERB
ejpam-45	157	35	x	x	PUNCT
ejpam-45	157	36	=	=	SYM
ejpam-45	157	37	�	�	PROPN
ejpam-45	157	38	1	1	NUM
ejpam-45	157	39	+	+	NUM
ejpam-45	157	40	exp	exp	NOUN
ejpam-45	157	41	�	�	PROPN
ejpam-45	157	42	β	β	X
ejpam-45	157	43	−α	−α	PROPN
ejpam-45	157	44	α+	α+	X
ejpam-45	157	45	β	β	NOUN
ejpam-45	157	46	−	−	NOUN
ejpam-45	157	47	2	2	NUM
ejpam-45	157	48	hν(α	hν(α	X
ejpam-45	157	49	,	,	PUNCT
ejpam-45	157	50	β	β	X
ejpam-45	157	51	,	,	PUNCT
ejpam-45	157	52	j+	j+	NUM
ejpam-45	157	53	1	1	NUM
ejpam-45	157	54	)	)	PUNCT
ejpam-45	157	55	�	�	PROPN
ejpam-45	157	56	�	�	NOUN
ejpam-45	157	57	−1	−1	NOUN
ejpam-45	157	58	=	=	NOUN
ejpam-45	157	59	x	x	SYM
ejpam-45	157	60	j	j	PROPN
ejpam-45	157	61	further	far	ADV
ejpam-45	157	62	,	,	PUNCT
ejpam-45	157	63	from	from	ADP
ejpam-45	157	64	(	(	PUNCT
ejpam-45	157	65	25	25	NUM
ejpam-45	157	66	)	)	PUNCT
ejpam-45	157	67	we	we	PRON
ejpam-45	157	68	have	have	VERB
ejpam-45	157	69	g(0)≤	g(0)≤	PROPN
ejpam-45	157	70	0	0	PUNCT
ejpam-45	157	71	and	and	CCONJ
ejpam-45	157	72	g(1)≥	g(1)≥	ADJ
ejpam-45	157	73	0	0	NUM
ejpam-45	157	74	.	.	PUNCT
ejpam-45	158	1	case	case	NOUN
ejpam-45	159	1	i	i	PRON
ejpam-45	159	2	:	:	PUNCT
ejpam-45	159	3	let	let	VERB
ejpam-45	159	4	α+	α+	PRON
ejpam-45	159	5	β	β	X
ejpam-45	159	6	>	>	X
ejpam-45	159	7	2	2	NUM
ejpam-45	159	8	,	,	PUNCT
ejpam-45	159	9	then	then	ADV
ejpam-45	159	10	g	g	PROPN
ejpam-45	159	11	′	′	NUM
ejpam-45	159	12	(	(	PUNCT
ejpam-45	159	13	x	x	X
ejpam-45	159	14	)	)	PUNCT
ejpam-45	159	15	>	>	X
ejpam-45	159	16	0	0	PUNCT
ejpam-45	160	1	if	if	SCONJ
ejpam-45	160	2	x	x	PRON
ejpam-45	160	3	<	<	X
ejpam-45	160	4	x	x	X
ejpam-45	160	5	j	j	PROPN
ejpam-45	160	6	g	g	NOUN
ejpam-45	160	7	′	′	NUM
ejpam-45	160	8	(	(	PUNCT
ejpam-45	160	9	x	x	X
ejpam-45	160	10	)	)	PUNCT
ejpam-45	161	1	=	=	SYM
ejpam-45	161	2	0	0	PUNCT
ejpam-45	162	1	if	if	SCONJ
ejpam-45	162	2	x	x	NOUN
ejpam-45	162	3	=	=	PUNCT
ejpam-45	162	4	x	x	SYM
ejpam-45	162	5	j	j	PROPN
ejpam-45	162	6	g	g	NOUN
ejpam-45	162	7	′	′	NUM
ejpam-45	162	8	(	(	PUNCT
ejpam-45	162	9	x	x	X
ejpam-45	162	10	)	)	PUNCT
ejpam-45	162	11	<	<	X
ejpam-45	162	12	0	0	PUNCT
ejpam-45	163	1	if	if	SCONJ
ejpam-45	163	2	x	x	PROPN
ejpam-45	163	3	>	>	X
ejpam-45	163	4	x	x	X
ejpam-45	163	5	j	j	NOUN
ejpam-45	163	6	which	which	PRON
ejpam-45	163	7	implies	imply	VERB
ejpam-45	163	8	that	that	SCONJ
ejpam-45	163	9	g(x	g(x	NOUN
ejpam-45	163	10	)	)	PUNCT
ejpam-45	163	11	=	=	SYM
ejpam-45	163	12	0	0	PUNCT
ejpam-45	163	13	has	have	VERB
ejpam-45	163	14	a	a	DET
ejpam-45	163	15	unique	unique	ADJ
ejpam-45	163	16	solution	solution	NOUN
ejpam-45	163	17	h	h	NOUN
ejpam-45	163	18	j	j	PROPN
ejpam-45	163	19	∈	∈	PROPN
ejpam-45	163	20	(	(	PUNCT
ejpam-45	163	21	0,1	0,1	NUM
ejpam-45	163	22	)	)	PUNCT
ejpam-45	163	23	.	.	PUNCT
ejpam-45	164	1	case	case	NOUN
ejpam-45	164	2	ii	ii	NOUN
ejpam-45	164	3	:	:	PUNCT
ejpam-45	164	4	let	let	VERB
ejpam-45	164	5	α+	α+	PRON
ejpam-45	164	6	β	β	X
ejpam-45	164	7	<	<	X
ejpam-45	164	8	2	2	NUM
ejpam-45	164	9	,	,	PUNCT
ejpam-45	164	10	then	then	ADV
ejpam-45	164	11	g	g	PROPN
ejpam-45	164	12	′	′	NUM
ejpam-45	165	1	(	(	PUNCT
ejpam-45	166	1	x	x	X
ejpam-45	166	2	)	)	PUNCT
ejpam-45	166	3	>	>	X
ejpam-45	166	4	0	0	PUNCT
ejpam-45	167	1	if	if	SCONJ
ejpam-45	167	2	x	x	PROPN
ejpam-45	167	3	>	>	X
ejpam-45	167	4	x	x	PUNCT
ejpam-45	167	5	j	j	PROPN
ejpam-45	167	6	g	g	PROPN
ejpam-45	167	7	′	′	NUM
ejpam-45	167	8	(	(	PUNCT
ejpam-45	167	9	x	x	X
ejpam-45	167	10	)	)	PUNCT
ejpam-45	168	1	=	=	SYM
ejpam-45	168	2	0	0	PUNCT
ejpam-45	169	1	if	if	SCONJ
ejpam-45	169	2	x	x	NOUN
ejpam-45	169	3	=	=	PUNCT
ejpam-45	169	4	x	x	SYM
ejpam-45	169	5	j	j	PROPN
ejpam-45	169	6	g	g	NOUN
ejpam-45	169	7	′	′	NUM
ejpam-45	169	8	(	(	PUNCT
ejpam-45	169	9	x	x	X
ejpam-45	169	10	)	)	PUNCT
ejpam-45	169	11	<	<	X
ejpam-45	169	12	0	0	PUNCT
ejpam-45	170	1	if	if	SCONJ
ejpam-45	170	2	x	x	X
ejpam-45	170	3	<	<	X
ejpam-45	170	4	x	x	X
ejpam-45	170	5	j	j	X
ejpam-45	170	6	which	which	PRON
ejpam-45	170	7	again	again	ADV
ejpam-45	170	8	shows	show	VERB
ejpam-45	170	9	that	that	SCONJ
ejpam-45	170	10	g(x	g(x	NOUN
ejpam-45	170	11	)	)	PUNCT
ejpam-45	170	12	=	=	SYM
ejpam-45	170	13	0	0	PUNCT
ejpam-45	170	14	has	have	VERB
ejpam-45	170	15	a	a	DET
ejpam-45	170	16	unique	unique	ADJ
ejpam-45	170	17	solution	solution	NOUN
ejpam-45	170	18	h	h	NOUN
ejpam-45	170	19	j	j	PROPN
ejpam-45	170	20	∈	∈	PROPN
ejpam-45	170	21	(	(	PUNCT
ejpam-45	170	22	0,1	0,1	NUM
ejpam-45	170	23	)	)	PUNCT
ejpam-45	170	24	.	.	PUNCT
ejpam-45	171	1	combining	combine	VERB
ejpam-45	171	2	both	both	DET
ejpam-45	171	3	the	the	DET
ejpam-45	171	4	cases	case	NOUN
ejpam-45	171	5	,	,	PUNCT
ejpam-45	171	6	we	we	PRON
ejpam-45	171	7	conclude	conclude	VERB
ejpam-45	171	8	that	that	SCONJ
ejpam-45	171	9	the	the	DET
ejpam-45	171	10	unique	unique	ADJ
ejpam-45	171	11	solution	solution	NOUN
ejpam-45	171	12	to	to	ADP
ejpam-45	171	13	g(x	g(x	NOUN
ejpam-45	171	14	)	)	PUNCT
ejpam-45	172	1	=	=	SYM
ejpam-45	172	2	0	0	NUM
ejpam-45	172	3	is	be	AUX
ejpam-45	172	4	given	give	VERB
ejpam-45	172	5	by	by	ADP
ejpam-45	172	6	x	x	NOUN
ejpam-45	172	7	=	=	SYM
ejpam-45	172	8	h	h	PROPN
ejpam-45	172	9	j	j	PROPN
ejpam-45	172	10	.	.	PUNCT
ejpam-45	173	1	thus	thus	ADV
ejpam-45	173	2	hν(α	hν(α	NUM
ejpam-45	173	3	,	,	PUNCT
ejpam-45	173	4	β	β	X
ejpam-45	173	5	,	,	PUNCT
ejpam-45	173	6	j	j	PROPN
ejpam-45	173	7	)	)	PUNCT
ejpam-45	173	8	uniquely	uniquely	ADV
ejpam-45	173	9	determines	determine	VERB
ejpam-45	173	10	f(t	f(t	NOUN
ejpam-45	173	11	)	)	PUNCT
ejpam-45	173	12	.	.	PUNCT
ejpam-45	174	1	references	reference	NOUN
ejpam-45	174	2	39	39	NUM
ejpam-45	174	3	remark	remark	NOUN
ejpam-45	174	4	:	:	PUNCT
ejpam-45	174	5	forβ	forβ	ADJ
ejpam-45	174	6	=	=	SYM
ejpam-45	174	7	1	1	NUM
ejpam-45	174	8	,	,	PUNCT
ejpam-45	174	9	x	x	PRON
ejpam-45	174	10	j	j	PROPN
ejpam-45	174	11	=	=	SYM
ejpam-45	174	12	�	�	PROPN
ejpam-45	174	13	1	1	NUM
ejpam-45	174	14	+	+	NUM
ejpam-45	174	15	exp(−hν(α	exp(−hν(α	PROPN
ejpam-45	174	16	,	,	PUNCT
ejpam-45	174	17	j+	j+	NUM
ejpam-45	174	18	1	1	NUM
ejpam-45	174	19	)	)	PUNCT
ejpam-45	174	20	�	�	PROPN
ejpam-45	174	21	−1	−1	NOUN
ejpam-45	174	22	which	which	PRON
ejpam-45	174	23	is	be	AUX
ejpam-45	174	24	given	give	VERB
ejpam-45	174	25	by	by	ADP
ejpam-45	174	26	baig	baig	PROPN
ejpam-45	174	27	and	and	CCONJ
ejpam-45	174	28	dar	dar	PROPN
ejpam-45	175	1	[	[	X
ejpam-45	175	2	2	2	NUM
ejpam-45	175	3	]	]	PUNCT
ejpam-45	175	4	theorem	theorem	VERB
ejpam-45	175	5	4.2	4.2	NUM
ejpam-45	175	6	:	:	PUNCT
ejpam-45	175	7	the	the	DET
ejpam-45	175	8	discrete	discrete	ADJ
ejpam-45	175	9	uniform	uniform	ADJ
ejpam-45	175	10	distribution	distribution	NOUN
ejpam-45	175	11	is	be	AUX
ejpam-45	175	12	characterized	characterize	VERB
ejpam-45	175	13	by	by	ADP
ejpam-45	175	14	varam	varam	PROPN
ejpam-45	175	15	’s	’s	PART
ejpam-45	175	16	residual	residual	ADJ
ejpam-45	175	17	entropy	entropy	NOUN
ejpam-45	175	18	hν(α	hν(α	PROPN
ejpam-45	175	19	,	,	PUNCT
ejpam-45	175	20	β	β	X
ejpam-45	175	21	,	,	PUNCT
ejpam-45	175	22	j	j	PROPN
ejpam-45	175	23	)	)	PUNCT
ejpam-45	175	24	=	=	SYM
ejpam-45	175	25	�	�	PROPN
ejpam-45	175	26	2−α−	2−α−	NUM
ejpam-45	175	27	β	β	NOUN
ejpam-45	175	28	β	β	X
ejpam-45	175	29	−α	−α	NOUN
ejpam-45	175	30	log(n−	log(n−	X
ejpam-45	175	31	j+	j+	NUM
ejpam-45	175	32	1	1	NUM
ejpam-45	175	33	)	)	PUNCT
ejpam-45	175	34	�	�	PROPN
ejpam-45	175	35	,	,	PUNCT
ejpam-45	175	36	j	j	PROPN
ejpam-45	175	37	=	=	SYM
ejpam-45	175	38	1	1	NUM
ejpam-45	175	39	,	,	PUNCT
ejpam-45	175	40	2	2	NUM
ejpam-45	175	41	,	,	PUNCT
ejpam-45	175	42	...	...	PUNCT
ejpam-45	175	43	,	,	PUNCT
ejpam-45	176	1	n	n	PRON
ejpam-45	176	2	proof	proof	NOUN
ejpam-45	176	3	:	:	PUNCT
ejpam-45	176	4	by	by	ADP
ejpam-45	176	5	putting	put	VERB
ejpam-45	176	6	hν(α	hν(α	NOUN
ejpam-45	176	7	,	,	PUNCT
ejpam-45	176	8	β	β	X
ejpam-45	176	9	,	,	PUNCT
ejpam-45	176	10	j	j	PROPN
ejpam-45	176	11	)	)	PUNCT
ejpam-45	176	12	=	=	SYM
ejpam-45	176	13	�	�	PROPN
ejpam-45	176	14	2−α−β	2−α−β	NOUN
ejpam-45	176	15	β−α	β−α	NOUN
ejpam-45	176	16	log(n−	log(n−	X
ejpam-45	176	17	j+	j+	NUM
ejpam-45	176	18	1	1	NUM
ejpam-45	176	19	)	)	PUNCT
ejpam-45	176	20	�	�	PROPN
ejpam-45	176	21	,	,	PUNCT
ejpam-45	176	22	j	j	PROPN
ejpam-45	176	23	=	=	SYM
ejpam-45	176	24	1,2	1,2	NUM
ejpam-45	176	25	,	,	PUNCT
ejpam-45	176	26	...	...	PUNCT
ejpam-45	176	27	,	,	PUNCT
ejpam-45	176	28	n	n	CCONJ
ejpam-45	176	29	in	in	ADP
ejpam-45	176	30	(	(	PUNCT
ejpam-45	176	31	25	25	NUM
ejpam-45	176	32	)	)	PUNCT
ejpam-45	176	33	,	,	PUNCT
ejpam-45	176	34	we	we	PRON
ejpam-45	176	35	have	have	VERB
ejpam-45	176	36	g(x	g(x	PROPN
ejpam-45	176	37	j	j	NOUN
ejpam-45	176	38	)	)	PUNCT
ejpam-45	176	39	=	=	PUNCT
ejpam-45	177	1	0	0	X
ejpam-45	177	2	.	.	PUNCT
ejpam-45	177	3	hence	hence	ADV
ejpam-45	177	4	hν(α	hν(α	NOUN
ejpam-45	177	5	,	,	PUNCT
ejpam-45	177	6	β	β	X
ejpam-45	177	7	,	,	PUNCT
ejpam-45	177	8	j	j	PROPN
ejpam-45	177	9	)	)	PUNCT
ejpam-45	177	10	=	=	SYM
ejpam-45	177	11	�	�	PROPN
ejpam-45	177	12	2−α−β	2−α−β	NOUN
ejpam-45	177	13	β−α	β−α	NOUN
ejpam-45	177	14	log(n−	log(n−	X
ejpam-45	177	15	j+	j+	NUM
ejpam-45	177	16	1	1	NUM
ejpam-45	177	17	)	)	PUNCT
ejpam-45	177	18	�	�	PROPN
ejpam-45	177	19	,	,	PUNCT
ejpam-45	177	20	j	j	PROPN
ejpam-45	177	21	=	=	SYM
ejpam-45	177	22	1	1	NUM
ejpam-45	177	23	,	,	PUNCT
ejpam-45	177	24	2	2	NUM
ejpam-45	177	25	,	,	PUNCT
ejpam-45	177	26	...	...	PUNCT
ejpam-45	177	27	,	,	PUNCT
ejpam-45	177	28	n	n	PRON
ejpam-45	177	29	is	be	AUX
ejpam-45	177	30	the	the	DET
ejpam-45	177	31	unique	unique	ADJ
ejpam-45	177	32	solution	solution	NOUN
ejpam-45	177	33	to	to	ADP
ejpam-45	177	34	g(x	g(x	PROPN
ejpam-45	177	35	j	j	NOUN
ejpam-45	177	36	)	)	PUNCT
ejpam-45	177	37	=	=	PUNCT
ejpam-45	178	1	0	0	X
ejpam-45	178	2	.	.	PUNCT
ejpam-45	179	1	hence	hence	ADV
ejpam-45	179	2	the	the	DET
ejpam-45	179	3	theorem	theorem	NOUN
ejpam-45	179	4	follows	follow	VERB
ejpam-45	179	5	.	.	PUNCT
ejpam-45	180	1	remark	remark	NOUN
ejpam-45	180	2	:	:	PUNCT
ejpam-45	180	3	for	for	ADP
ejpam-45	180	4	β	β	X
ejpam-45	180	5	=	=	SYM
ejpam-45	180	6	1	1	NUM
ejpam-45	180	7	,	,	PUNCT
ejpam-45	180	8	hν(α	hν(α	PROPN
ejpam-45	180	9	,	,	PUNCT
ejpam-45	180	10	j	j	NOUN
ejpam-45	180	11	)	)	PUNCT
ejpam-45	180	12	=	=	PUNCT
ejpam-45	181	1	log(n−	log(n−	NUM
ejpam-45	181	2	j	j	NOUN
ejpam-45	182	1	+	+	CCONJ
ejpam-45	182	2	1	1	NUM
ejpam-45	182	3	)	)	PUNCT
ejpam-45	182	4	,	,	PUNCT
ejpam-45	182	5	j	j	PROPN
ejpam-45	182	6	=	=	SYM
ejpam-45	182	7	1	1	NUM
ejpam-45	182	8	,	,	PUNCT
ejpam-45	182	9	2	2	NUM
ejpam-45	182	10	,	,	PUNCT
ejpam-45	182	11	·	·	PUNCT
ejpam-45	182	12	·	·	PUNCT
ejpam-45	182	13	·	·	PUNCT
ejpam-45	182	14	,	,	PUNCT
ejpam-45	182	15	n	n	CCONJ
ejpam-45	182	16	which	which	PRON
ejpam-45	182	17	is	be	AUX
ejpam-45	182	18	given	give	VERB
ejpam-45	182	19	by	by	ADP
ejpam-45	182	20	baig	baig	PROPN
ejpam-45	182	21	and	and	CCONJ
ejpam-45	182	22	dar	dar	PROPN
ejpam-45	183	1	[	[	X
ejpam-45	183	2	2	2	NUM
ejpam-45	183	3	]	]	PUNCT
ejpam-45	183	4	.	.	PUNCT
ejpam-45	184	1	5	5	X
ejpam-45	184	2	.	.	X
ejpam-45	184	3	conclusion	conclusion	NOUN
ejpam-45	184	4	:	:	PUNCT
ejpam-45	184	5	we	we	PRON
ejpam-45	184	6	introduce	introduce	VERB
ejpam-45	184	7	and	and	CCONJ
ejpam-45	184	8	studied	study	VERB
ejpam-45	184	9	the	the	DET
ejpam-45	184	10	concept	concept	NOUN
ejpam-45	184	11	of	of	ADP
ejpam-45	184	12	varma	varma	PROPN
ejpam-45	184	13	’s	’s	PART
ejpam-45	184	14	entropy	entropy	NOUN
ejpam-45	184	15	for	for	ADP
ejpam-45	184	16	the	the	DET
ejpam-45	184	17	life	life	NOUN
ejpam-45	184	18	time	time	NOUN
ejpam-45	184	19	distributions	distribution	NOUN
ejpam-45	184	20	that	that	PRON
ejpam-45	184	21	generalizes	generalize	VERB
ejpam-45	184	22	the	the	DET
ejpam-45	184	23	entropy	entropy	NOUN
ejpam-45	184	24	measure	measure	NOUN
ejpam-45	184	25	given	give	VERB
ejpam-45	184	26	by	by	ADP
ejpam-45	184	27	ebrahimi[4	ebrahimi[4	ADV
ejpam-45	184	28	]	]	PUNCT
ejpam-45	184	29	.	.	PUNCT
ejpam-45	185	1	the	the	DET
ejpam-45	185	2	exponential	exponential	NOUN
ejpam-45	185	3	,	,	PUNCT
ejpam-45	185	4	the	the	DET
ejpam-45	185	5	pareto	pareto	NOUN
ejpam-45	185	6	and	and	CCONJ
ejpam-45	185	7	the	the	DET
ejpam-45	185	8	finite	finite	ADJ
ejpam-45	185	9	range	range	NOUN
ejpam-45	185	10	distributions	distribution	NOUN
ejpam-45	185	11	which	which	PRON
ejpam-45	185	12	are	be	AUX
ejpam-45	185	13	commonly	commonly	ADV
ejpam-45	185	14	used	use	VERB
ejpam-45	185	15	in	in	ADP
ejpam-45	185	16	the	the	DET
ejpam-45	185	17	reliability	reliability	NOUN
ejpam-45	185	18	modeling	modeling	NOUN
ejpam-45	185	19	have	have	AUX
ejpam-45	185	20	been	be	AUX
ejpam-45	185	21	characterized	characterize	VERB
ejpam-45	185	22	in	in	ADP
ejpam-45	185	23	terms	term	NOUN
ejpam-45	185	24	of	of	ADP
ejpam-45	185	25	the	the	DET
ejpam-45	185	26	varma	varma	PROPN
ejpam-45	185	27	’s	’s	PART
ejpam-45	185	28	entropy	entropy	NOUN
ejpam-45	185	29	.	.	PUNCT
ejpam-45	186	1	the	the	DET
ejpam-45	186	2	proposed	propose	VERB
ejpam-45	186	3	residual	residual	ADJ
ejpam-45	186	4	entropy	entropy	NOUN
ejpam-45	186	5	function	function	NOUN
ejpam-45	186	6	uniquely	uniquely	ADV
ejpam-45	186	7	determines	determine	VERB
ejpam-45	186	8	the	the	DET
ejpam-45	186	9	distribution	distribution	NOUN
ejpam-45	186	10	function	function	NOUN
ejpam-45	186	11	and	and	CCONJ
ejpam-45	186	12	thus	thus	ADV
ejpam-45	186	13	the	the	DET
ejpam-45	186	14	reliability	reliability	NOUN
ejpam-45	186	15	function	function	NOUN
ejpam-45	186	16	.	.	PUNCT
ejpam-45	187	1	also	also	ADV
ejpam-45	187	2	,	,	PUNCT
ejpam-45	187	3	we	we	PRON
ejpam-45	187	4	characterize	characterize	VERB
ejpam-45	187	5	the	the	DET
ejpam-45	187	6	discrete	discrete	ADJ
ejpam-45	187	7	uniform	uniform	ADJ
ejpam-45	187	8	distribution	distribution	NOUN
ejpam-45	187	9	in	in	ADP
ejpam-45	187	10	terms	term	NOUN
ejpam-45	187	11	of	of	ADP
ejpam-45	187	12	discrete	discrete	ADJ
ejpam-45	187	13	generalized	generalize	VERB
ejpam-45	187	14	entropy	entropy	NOUN
ejpam-45	187	15	.	.	PUNCT
ejpam-45	188	1	references	reference	NOUN
ejpam-45	188	2	(	(	PUNCT
ejpam-45	188	3	1	1	X
ejpam-45	188	4	)	)	PUNCT
ejpam-45	188	5	asaid	asaid	PROPN
ejpam-45	188	6	m	m	PROPN
ejpam-45	188	7	,	,	PUNCT
ejpam-45	188	8	ebrahimi	ebrahimi	PROPN
ejpam-45	188	9	n	n	PROPN
ejpam-45	188	10	(	(	PUNCT
ejpam-45	188	11	2000),“residual	2000),“residual	ADJ
ejpam-45	188	12	entropy	entropy	NOUN
ejpam-45	188	13	and	and	CCONJ
ejpam-45	188	14	its	its	PRON
ejpam-45	188	15	characterizations	characterization	NOUN
ejpam-45	188	16	in	in	ADP
ejpam-45	188	17	terms	term	NOUN
ejpam-45	188	18	of	of	ADP
ejpam-45	188	19	hazard	hazard	NOUN
ejpam-45	188	20	function	function	NOUN
ejpam-45	188	21	and	and	CCONJ
ejpam-45	188	22	mean	mean	VERB
ejpam-45	188	23	residual	residual	ADJ
ejpam-45	188	24	life	life	NOUN
ejpam-45	188	25	time	time	NOUN
ejpam-45	188	26	function	function	NOUN
ejpam-45	188	27	"	"	PUNCT
ejpam-45	188	28	.	.	PUNCT
ejpam-45	189	1	statist	statist	PROPN
ejpam-45	189	2	.	.	PUNCT
ejpam-45	190	1	prob	prob	PROPN
ejpam-45	190	2	.	.	PUNCT
ejpam-45	191	1	lett	lett	PROPN
ejpam-45	191	2	.	.	PUNCT
ejpam-45	192	1	49:263	49:263	NUM
ejpam-45	192	2	-	-	SYM
ejpam-45	192	3	269	269	NUM
ejpam-45	192	4	.	.	PUNCT
ejpam-45	193	1	(	(	PUNCT
ejpam-45	193	2	2	2	X
ejpam-45	193	3	)	)	PUNCT
ejpam-45	193	4	baig	baig	PROPN
ejpam-45	193	5	m.a.k	m.a.k	PROPN
ejpam-45	193	6	,	,	PUNCT
ejpam-45	193	7	dar	dar	PROPN
ejpam-45	193	8	j.g	j.g	PROPN
ejpam-45	193	9	(	(	PUNCT
ejpam-45	193	10	2007),“some	2007),“some	VERB
ejpam-45	193	11	new	new	ADJ
ejpam-45	193	12	results	result	NOUN
ejpam-45	193	13	on	on	ADP
ejpam-45	193	14	renyi	renyi	PROPN
ejpam-45	193	15	’s	’s	PART
ejpam-45	193	16	residual	residual	ADJ
ejpam-45	193	17	entropy	entropy	NOUN
ejpam-45	193	18	function	function	NOUN
ejpam-45	193	19	"	"	PUNCT
ejpam-45	193	20	,	,	PUNCT
ejpam-45	193	21	to	to	PART
ejpam-45	193	22	appear	appear	VERB
ejpam-45	193	23	.	.	PUNCT
ejpam-45	194	1	(	(	PUNCT
ejpam-45	194	2	3	3	X
ejpam-45	194	3	)	)	PUNCT
ejpam-45	194	4	crescenzo	crescenzo	PROPN
ejpam-45	194	5	a.d	a.d	PROPN
ejpam-45	194	6	,	,	PUNCT
ejpam-45	194	7	longobardi	longobardi	PROPN
ejpam-45	194	8	m	m	PROPN
ejpam-45	194	9	(	(	PUNCT
ejpam-45	194	10	2002),“entropy	2002),“entropy	NUM
ejpam-45	194	11	based	base	VERB
ejpam-45	194	12	measure	measure	NOUN
ejpam-45	194	13	of	of	ADP
ejpam-45	194	14	uncertainty	uncertainty	NOUN
ejpam-45	194	15	in	in	ADP
ejpam-45	194	16	past	past	ADJ
ejpam-45	194	17	life	life	NOUN
ejpam-45	194	18	time	time	NOUN
ejpam-45	194	19	distributions	distribution	NOUN
ejpam-45	194	20	"	"	PUNCT
ejpam-45	194	21	.	.	PUNCT
ejpam-45	195	1	j.	j.	PROPN
ejpam-45	195	2	of	of	ADP
ejpam-45	195	3	applied	apply	VERB
ejpam-45	195	4	probability	probability	NOUN
ejpam-45	195	5	39:434	39:434	NUM
ejpam-45	195	6	-	-	SYM
ejpam-45	195	7	440	440	NUM
ejpam-45	195	8	.	.	PUNCT
ejpam-45	196	1	(	(	PUNCT
ejpam-45	196	2	4	4	NUM
ejpam-45	196	3	)	)	PUNCT
ejpam-45	196	4	ebrahimi	ebrahimi	PROPN
ejpam-45	196	5	n(1996),“how	n(1996),“how	PROPN
ejpam-45	196	6	to	to	PART
ejpam-45	196	7	measure	measure	VERB
ejpam-45	196	8	uncertainty	uncertainty	NOUN
ejpam-45	196	9	in	in	ADP
ejpam-45	196	10	the	the	DET
ejpam-45	196	11	life	life	NOUN
ejpam-45	196	12	time	time	NOUN
ejpam-45	196	13	distributions	distribution	NOUN
ejpam-45	196	14	"	"	PUNCT
ejpam-45	196	15	.	.	PUNCT
ejpam-45	196	16	sankhya	sankhya	PROPN
ejpam-45	196	17	.	.	PUNCT
ejpam-45	197	1	vol	vol	NOUN
ejpam-45	197	2	.	.	PROPN
ejpam-45	198	1	58	58	NUM
ejpam-45	198	2	,	,	PUNCT
ejpam-45	198	3	ser	ser	NOUN
ejpam-45	198	4	.	.	PUNCT
ejpam-45	199	1	a	a	DET
ejpam-45	199	2	,	,	PUNCT
ejpam-45	199	3	48	48	NUM
ejpam-45	199	4	-	-	SYM
ejpam-45	199	5	57	57	NUM
ejpam-45	199	6	.	.	PUNCT
ejpam-45	200	1	(	(	PUNCT
ejpam-45	200	2	5	5	NUM
ejpam-45	200	3	)	)	PUNCT
ejpam-45	200	4	ebrahimi	ebrahimi	PROPN
ejpam-45	200	5	n(1997	n(1997	PROPN
ejpam-45	200	6	)	)	PUNCT
ejpam-45	200	7	,	,	PUNCT
ejpam-45	200	8	“	"	PUNCT
ejpam-45	200	9	testing	test	VERB
ejpam-45	200	10	whether	whether	SCONJ
ejpam-45	200	11	life	life	NOUN
ejpam-45	200	12	time	time	NOUN
ejpam-45	200	13	distribution	distribution	NOUN
ejpam-45	200	14	is	be	AUX
ejpam-45	200	15	decreasing	decrease	VERB
ejpam-45	200	16	uncertainty	uncertainty	NOUN
ejpam-45	200	17	"	"	PUNCT
ejpam-45	200	18	.	.	PUNCT
ejpam-45	201	1	j.	j.	PROPN
ejpam-45	201	2	statist	statist	PROPN
ejpam-45	201	3	.	.	PUNCT
ejpam-45	202	1	plann	plann	PROPN
ejpam-45	202	2	.	.	PUNCT
ejpam-45	203	1	infer	infer	VERB
ejpam-45	203	2	.	.	PUNCT
ejpam-45	204	1	64:9	64:9	NUM
ejpam-45	204	2	-	-	SYM
ejpam-45	204	3	19	19	NUM
ejpam-45	204	4	.	.	PUNCT
ejpam-45	205	1	(	(	PUNCT
ejpam-45	205	2	6	6	NUM
ejpam-45	205	3	)	)	PUNCT
ejpam-45	205	4	ebrahimi	ebrahimi	PROPN
ejpam-45	205	5	n	n	CCONJ
ejpam-45	205	6	,	,	PUNCT
ejpam-45	205	7	kirmani	kirmani	X
ejpam-45	205	8	snua	snua	X
ejpam-45	205	9	(	(	PUNCT
ejpam-45	205	10	1996),“some	1996),“some	NUM
ejpam-45	205	11	results	result	VERB
ejpam-45	205	12	on	on	ADP
ejpam-45	205	13	ordering	ordering	NOUN
ejpam-45	205	14	of	of	ADP
ejpam-45	205	15	survival	survival	NOUN
ejpam-45	205	16	function	function	NOUN
ejpam-45	205	17	through	through	ADP
ejpam-45	205	18	uncertainty	uncertainty	NOUN
ejpam-45	205	19	”	"	PUNCT
ejpam-45	205	20	.	.	PUNCT
ejpam-45	206	1	statist	statist	PROPN
ejpam-45	206	2	.	.	PUNCT
ejpam-45	207	1	prob	prob	PROPN
ejpam-45	207	2	.	.	PUNCT
ejpam-45	208	1	lett	lett	PROPN
ejpam-45	208	2	.	.	PUNCT
ejpam-45	209	1	29:167	29:167	NUM
ejpam-45	209	2	-	-	SYM
ejpam-45	209	3	176	176	NUM
ejpam-45	209	4	.	.	PUNCT
ejpam-45	210	1	(	(	PUNCT
ejpam-45	210	2	7	7	X
ejpam-45	210	3	)	)	PUNCT
ejpam-45	210	4	belzunce	belzunce	ADP
ejpam-45	210	5	f	f	PROPN
ejpam-45	210	6	,	,	PUNCT
ejpam-45	210	7	navarror	navarror	PROPN
ejpam-45	210	8	j	j	PROPN
ejpam-45	210	9	,	,	PUNCT
ejpam-45	210	10	ruiz	ruiz	NOUN
ejpam-45	210	11	j	j	PROPN
ejpam-45	210	12	m	m	PROPN
ejpam-45	210	13	,	,	PUNCT
ejpam-45	211	1	aguila	aguila	PROPN
ejpam-45	211	2	y	y	PROPN
ejpam-45	211	3	(	(	PUNCT
ejpam-45	211	4	2004),“some	2004),“some	NUM
ejpam-45	211	5	results	result	NOUN
ejpam-45	211	6	on	on	ADP
ejpam-45	211	7	residual	residual	ADJ
ejpam-45	211	8	entropy	entropy	NOUN
ejpam-45	211	9	function	function	NOUN
ejpam-45	211	10	"	"	PUNCT
ejpam-45	211	11	.	.	PUNCT
ejpam-45	212	1	metrika	metrika	NOUN
ejpam-45	212	2	59:147	59:147	PROPN
ejpam-45	212	3	-	-	PUNCT
ejpam-45	212	4	161	161	NUM
ejpam-45	212	5	.	.	PUNCT
ejpam-45	213	1	(	(	PUNCT
ejpam-45	213	2	8)	8)	NUM
ejpam-45	213	3	nair	nair	NOUN
ejpam-45	213	4	k.r.m	k.r.m	PROPN
ejpam-45	213	5	,	,	PUNCT
ejpam-45	213	6	rajesh	rajesh	PROPN
ejpam-45	213	7	g	g	PROPN
ejpam-45	213	8	(	(	PUNCT
ejpam-45	213	9	1998),“characterization	1998),“characterization	NOUN
ejpam-45	213	10	of	of	ADP
ejpam-45	213	11	the	the	DET
ejpam-45	213	12	probability	probability	NOUN
ejpam-45	213	13	distributions	distribution	NOUN
ejpam-45	213	14	using	use	VERB
ejpam-45	213	15	the	the	DET
ejpam-45	213	16	residual	residual	ADJ
ejpam-45	213	17	entropy	entropy	NOUN
ejpam-45	213	18	function	function	NOUN
ejpam-45	213	19	"	"	PUNCT
ejpam-45	213	20	.	.	PUNCT
ejpam-45	214	1	j.	j.	PROPN
ejpam-45	214	2	indian	indian	PROPN
ejpam-45	214	3	statist	statist	PROPN
ejpam-45	214	4	.	.	PUNCT
ejpam-45	215	1	assoc	assoc	PROPN
ejpam-45	215	2	.	.	PUNCT
ejpam-45	216	1	36:157	36:157	NUM
ejpam-45	216	2	-	-	SYM
ejpam-45	216	3	166	166	NUM
ejpam-45	216	4	.	.	PUNCT
ejpam-45	217	1	(	(	PUNCT
ejpam-45	217	2	9	9	X
ejpam-45	217	3	)	)	PUNCT
ejpam-45	217	4	gupta	gupta	PROPN
ejpam-45	217	5	r.d	r.d	PROPN
ejpam-45	217	6	,	,	PUNCT
ejpam-45	217	7	nanda	nanda	ADV
ejpam-45	217	8	a.k	a.k	PROPN
ejpam-45	217	9	(	(	PUNCT
ejpam-45	217	10	2002),“α	2002),“α	NUM
ejpam-45	217	11	and	and	CCONJ
ejpam-45	217	12	β−	β−	PRON
ejpam-45	217	13	entropies	entropy	NOUN
ejpam-45	217	14	and	and	CCONJ
ejpam-45	217	15	relative	relative	ADJ
ejpam-45	217	16	entropies	entropy	NOUN
ejpam-45	217	17	of	of	ADP
ejpam-45	217	18	distributions	distribution	NOUN
ejpam-45	217	19	"	"	PUNCT
ejpam-45	217	20	.	.	PUNCT
ejpam-45	218	1	j.	j.	PROPN
ejpam-45	218	2	of	of	ADP
ejpam-45	218	3	statistical	statistical	ADJ
ejpam-45	218	4	theory	theory	NOUN
ejpam-45	218	5	and	and	CCONJ
ejpam-45	218	6	applications	application	NOUN
ejpam-45	218	7	3:177	3:177	NUM
ejpam-45	218	8	-	-	SYM
ejpam-45	218	9	190	190	NUM
ejpam-45	218	10	(	(	PUNCT
ejpam-45	218	11	10	10	NUM
ejpam-45	218	12	)	)	PUNCT
ejpam-45	218	13	renyi	renyi	NOUN
ejpam-45	218	14	a	a	DET
ejpam-45	218	15	(	(	PUNCT
ejpam-45	218	16	1961),“on	1961),“on	NUM
ejpam-45	218	17	measure	measure	NOUN
ejpam-45	218	18	of	of	ADP
ejpam-45	218	19	entropy	entropy	NOUN
ejpam-45	218	20	and	and	CCONJ
ejpam-45	218	21	information	information	NOUN
ejpam-45	218	22	"	"	PUNCT
ejpam-45	218	23	.	.	PUNCT
ejpam-45	219	1	proceeding	proceed	VERB
ejpam-45	219	2	of	of	ADP
ejpam-45	219	3	the	the	DET
ejpam-45	219	4	fourth	fourth	PROPN
ejpam-45	219	5	berkeley	berkeley	PROPN
ejpam-45	219	6	symposium	symposium	NOUN
ejpam-45	219	7	on	on	ADP
ejpam-45	219	8	math	math	NOUN
ejpam-45	219	9	.	.	PUNCT
ejpam-45	220	1	statist	statist	PROPN
ejpam-45	220	2	.	.	PUNCT
ejpam-45	221	1	prob	prob	PROPN
ejpam-45	221	2	.	.	PUNCT
ejpam-45	222	1	vol	vol	NOUN
ejpam-45	222	2	1	1	NUM
ejpam-45	222	3	,	,	PUNCT
ejpam-45	222	4	university	university	NOUN
ejpam-45	222	5	of	of	ADP
ejpam-45	222	6	california	california	PROPN
ejpam-45	222	7	press	press	PROPN
ejpam-45	222	8	,	,	PUNCT
ejpam-45	222	9	berkely	berkely	PROPN
ejpam-45	222	10	,	,	PUNCT
ejpam-45	222	11	547	547	NUM
ejpam-45	222	12	-	-	SYM
ejpam-45	222	13	561	561	NUM
ejpam-45	222	14	.	.	PUNCT
ejpam-45	223	1	references	reference	NOUN
ejpam-45	223	2	40	40	NUM
ejpam-45	223	3	(	(	PUNCT
ejpam-45	223	4	11	11	NUM
ejpam-45	223	5	)	)	PUNCT
ejpam-45	223	6	sankaran	sankaran	VERB
ejpam-45	223	7	p.g	p.g	PROPN
ejpam-45	223	8	,	,	PUNCT
ejpam-45	223	9	gupta	gupta	PROPN
ejpam-45	223	10	r.p	r.p	PROPN
ejpam-45	223	11	(	(	PUNCT
ejpam-45	223	12	1999),“characterization	1999),“characterization	NOUN
ejpam-45	223	13	of	of	ADP
ejpam-45	223	14	the	the	DET
ejpam-45	223	15	life	life	NOUN
ejpam-45	223	16	time	time	NOUN
ejpam-45	223	17	distributions	distribution	NOUN
ejpam-45	223	18	using	use	VERB
ejpam-45	223	19	measure	measure	NOUN
ejpam-45	223	20	of	of	ADP
ejpam-45	223	21	uncertainty	uncertainty	NOUN
ejpam-45	223	22	"	"	PUNCT
ejpam-45	223	23	.	.	PUNCT
ejpam-45	224	1	calcutta	calcutta	PROPN
ejpam-45	224	2	statistical	statistical	ADJ
ejpam-45	224	3	association	association	NOUN
ejpam-45	224	4	bulletin	bulletin	NOUN
ejpam-45	224	5	.	.	PUNCT
ejpam-45	225	1	49:154	49:154	NUM
ejpam-45	225	2	-	-	SYM
ejpam-45	225	3	166	166	NUM
ejpam-45	225	4	(	(	PUNCT
ejpam-45	225	5	12	12	NUM
ejpam-45	225	6	)	)	PUNCT
ejpam-45	225	7	shannon	shannon	PROPN
ejpam-45	225	8	c.e	c.e	PROPN
ejpam-45	225	9	(	(	PUNCT
ejpam-45	225	10	1948),“a	1948),“a	NUM
ejpam-45	225	11	mathematical	mathematical	ADJ
ejpam-45	225	12	theory	theory	NOUN
ejpam-45	225	13	of	of	ADP
ejpam-45	225	14	communication	communication	NOUN
ejpam-45	225	15	"	"	PUNCT
ejpam-45	225	16	.	.	PUNCT
ejpam-45	226	1	bell	bell	NOUN
ejpam-45	226	2	system	system	PROPN
ejpam-45	226	3	technical	technical	PROPN
ejpam-45	226	4	j.	j.	PROPN
ejpam-45	226	5	27:379	27:379	PROPN
ejpam-45	226	6	-	-	SYM
ejpam-45	226	7	423	423	NUM