id	sid	tid	token	lemma	pos
iajs-2977	1	1	414	414	NUM
iajs-2977	1	2	this	this	DET
iajs-2977	1	3	work	work	NOUN
iajs-2977	1	4	is	be	AUX
iajs-2977	1	5	licensed	license	VERB
iajs-2977	1	6	under	under	ADP
iajs-2977	1	7	a	a	DET
iajs-2977	1	8	creative	creative	ADJ
iajs-2977	1	9	commons	common	NOUN
iajs-2977	1	10	attribution	attribution	NOUN
iajs-2977	1	11	4.0	4.0	NUM
iajs-2977	1	12	international	international	ADJ
iajs-2977	1	13	license	license	NOUN
iajs-2977	1	14	*	*	PUNCT
iajs-2977	1	15	corresponding	correspond	VERB
iajs-2977	1	16	author	author	NOUN
iajs-2977	1	17	:	:	PUNCT
iajs-2977	1	18	naji198887@yahoo.com	naji198887@yahoo.com	X
iajs-2977	2	1	abstract	abstract	ADJ
iajs-2977	2	2	truncated	truncate	VERB
iajs-2977	2	3	distributions	distribution	NOUN
iajs-2977	2	4	arise	arise	VERB
iajs-2977	2	5	naturally	naturally	ADV
iajs-2977	2	6	in	in	ADP
iajs-2977	2	7	many	many	ADJ
iajs-2977	2	8	practical	practical	ADJ
iajs-2977	2	9	situations	situation	NOUN
iajs-2977	2	10	.	.	PUNCT
iajs-2977	3	1	it	it	PRON
iajs-2977	3	2	is	be	AUX
iajs-2977	3	3	a	a	DET
iajs-2977	3	4	conditional	conditional	ADJ
iajs-2977	3	5	distribution	distribution	NOUN
iajs-2977	3	6	that	that	PRON
iajs-2977	3	7	develops	develop	VERB
iajs-2977	3	8	when	when	SCONJ
iajs-2977	3	9	the	the	DET
iajs-2977	3	10	parent	parent	NOUN
iajs-2977	3	11	distribution	distribution	NOUN
iajs-2977	3	12	's	's	PART
iajs-2977	3	13	domain	domain	NOUN
iajs-2977	3	14	is	be	AUX
iajs-2977	3	15	constrained	constrain	VERB
iajs-2977	3	16	to	to	ADP
iajs-2977	3	17	a	a	DET
iajs-2977	3	18	smaller	small	ADJ
iajs-2977	3	19	area	area	NOUN
iajs-2977	3	20	.	.	PUNCT
iajs-2977	4	1	the	the	DET
iajs-2977	4	2	distribution	distribution	NOUN
iajs-2977	4	3	of	of	ADP
iajs-2977	4	4	a	a	DET
iajs-2977	4	5	right	right	ADJ
iajs-2977	4	6	truncated	truncate	VERB
iajs-2977	4	7	is	be	AUX
iajs-2977	4	8	one	one	NUM
iajs-2977	4	9	of	of	ADP
iajs-2977	4	10	the	the	DET
iajs-2977	4	11	types	type	NOUN
iajs-2977	4	12	of	of	ADP
iajs-2977	4	13	single	single	ADJ
iajs-2977	4	14	truncated	truncated	ADJ
iajs-2977	4	15	that	that	PRON
iajs-2977	4	16	is	be	AUX
iajs-2977	4	17	restricted	restrict	VERB
iajs-2977	4	18	within	within	ADP
iajs-2977	4	19	a	a	DET
iajs-2977	4	20	specific	specific	ADJ
iajs-2977	4	21	field	field	NOUN
iajs-2977	4	22	and	and	CCONJ
iajs-2977	4	23	usually	usually	ADV
iajs-2977	4	24	occurs	occur	VERB
iajs-2977	4	25	when	when	SCONJ
iajs-2977	4	26	the	the	DET
iajs-2977	4	27	specified	specified	ADJ
iajs-2977	4	28	period	period	NOUN
iajs-2977	4	29	for	for	ADP
iajs-2977	4	30	the	the	DET
iajs-2977	4	31	study	study	NOUN
iajs-2977	4	32	is	be	AUX
iajs-2977	4	33	complete	complete	ADJ
iajs-2977	4	34	.	.	PUNCT
iajs-2977	5	1	hence	hence	ADV
iajs-2977	5	2	,	,	PUNCT
iajs-2977	5	3	this	this	DET
iajs-2977	5	4	paper	paper	NOUN
iajs-2977	5	5	introduces	introduce	VERB
iajs-2977	5	6	the	the	DET
iajs-2977	5	7	right	right	ADJ
iajs-2977	5	8	truncated	truncated	ADJ
iajs-2977	5	9	inverse	inverse	NOUN
iajs-2977	5	10	generalized	generalize	VERB
iajs-2977	5	11	rayleigh	rayleigh	NOUN
iajs-2977	5	12	distribution	distribution	NOUN
iajs-2977	5	13	(	(	PUNCT
iajs-2977	5	14	rtigrd	rtigrd	NOUN
iajs-2977	5	15	)	)	PUNCT
iajs-2977	5	16	with	with	ADP
iajs-2977	5	17	two	two	NUM
iajs-2977	5	18	parameters	parameter	NOUN
iajs-2977	5	19	.	.	PUNCT
iajs-2977	6	1	then	then	ADV
iajs-2977	6	2	,	,	PUNCT
iajs-2977	6	3	provided	provide	VERB
iajs-2977	6	4	some	some	DET
iajs-2977	6	5	properties	property	NOUN
iajs-2977	6	6	such	such	ADJ
iajs-2977	6	7	as	as	ADP
iajs-2977	6	8	probability	probability	NOUN
iajs-2977	6	9	density	density	NOUN
iajs-2977	6	10	function	function	NOUN
iajs-2977	6	11	,	,	PUNCT
iajs-2977	6	12	cumulative	cumulative	ADJ
iajs-2977	6	13	distribution	distribution	NOUN
iajs-2977	6	14	function	function	NOUN
iajs-2977	6	15	(	(	PUNCT
iajs-2977	6	16	cdf	cdf	PROPN
iajs-2977	6	17	)	)	PUNCT
iajs-2977	6	18	,	,	PUNCT
iajs-2977	6	19	survival	survival	NOUN
iajs-2977	6	20	function	function	NOUN
iajs-2977	6	21	,	,	PUNCT
iajs-2977	6	22	hazard	hazard	NOUN
iajs-2977	6	23	function	function	NOUN
iajs-2977	6	24	,	,	PUNCT
iajs-2977	6	25	rth	rth	NOUN
iajs-2977	6	26	moment	moment	NOUN
iajs-2977	6	27	,	,	PUNCT
iajs-2977	6	28	mean	mean	VERB
iajs-2977	6	29	,	,	PUNCT
iajs-2977	6	30	variance	variance	NOUN
iajs-2977	6	31	,	,	PUNCT
iajs-2977	6	32	moment	moment	NOUN
iajs-2977	6	33	generating	generate	VERB
iajs-2977	6	34	function	function	NOUN
iajs-2977	6	35	,	,	PUNCT
iajs-2977	6	36	skewness	skewness	NOUN
iajs-2977	6	37	,	,	PUNCT
iajs-2977	6	38	kurtosis	kurtosis	NOUN
iajs-2977	6	39	,	,	PUNCT
iajs-2977	6	40	median	median	NOUN
iajs-2977	6	41	,	,	PUNCT
iajs-2977	6	42	and	and	CCONJ
iajs-2977	6	43	mode	mode	NOUN
iajs-2977	6	44	for	for	ADP
iajs-2977	6	45	right	right	ADJ
iajs-2977	6	46	truncated	truncated	ADJ
iajs-2977	6	47	inverse	inverse	NOUN
iajs-2977	6	48	generalized	generalize	VERB
iajs-2977	6	49	rayleigh	rayleigh	NOUN
iajs-2977	6	50	distribution	distribution	NOUN
iajs-2977	6	51	on	on	ADP
iajs-2977	6	52	[	[	X
iajs-2977	6	53	0	0	NUM
iajs-2977	6	54	,	,	PUNCT
iajs-2977	6	55	1	1	NUM
iajs-2977	6	56	]	]	PUNCT
iajs-2977	6	57	.	.	PUNCT
iajs-2977	7	1	keywords	keyword	NOUN
iajs-2977	7	2	:	:	PUNCT
iajs-2977	7	3	hazard	hazard	NOUN
iajs-2977	7	4	function	function	NOUN
iajs-2977	7	5	,	,	PUNCT
iajs-2977	7	6	inverse	inverse	NOUN
iajs-2977	7	7	generalized	generalize	VERB
iajs-2977	7	8	rayleigh	rayleigh	NOUN
iajs-2977	7	9	distribution	distribution	NOUN
iajs-2977	7	10	,	,	PUNCT
iajs-2977	7	11	right	right	ADV
iajs-2977	7	12	truncated	truncate	VERB
iajs-2977	7	13	,	,	PUNCT
iajs-2977	7	14	survival	survival	NOUN
iajs-2977	7	15	function	function	NOUN
iajs-2977	7	16	.	.	PUNCT
iajs-2977	8	1	1	1	X
iajs-2977	8	2	.	.	X
iajs-2977	8	3	introduction	introduction	NOUN
iajs-2977	8	4	a	a	DET
iajs-2977	8	5	truncated	truncate	VERB
iajs-2977	8	6	distribution	distribution	NOUN
iajs-2977	8	7	is	be	AUX
iajs-2977	8	8	a	a	DET
iajs-2977	8	9	conditional	conditional	ADJ
iajs-2977	8	10	distribution	distribution	NOUN
iajs-2977	8	11	on	on	ADP
iajs-2977	8	12	a	a	DET
iajs-2977	8	13	specific	specific	ADJ
iajs-2977	8	14	range	range	NOUN
iajs-2977	8	15	that	that	PRON
iajs-2977	8	16	restricts	restrict	VERB
iajs-2977	8	17	the	the	DET
iajs-2977	8	18	full	full	ADJ
iajs-2977	8	19	range	range	NOUN
iajs-2977	8	20	.	.	PUNCT
iajs-2977	9	1	the	the	DET
iajs-2977	9	2	purpose	purpose	NOUN
iajs-2977	9	3	of	of	ADP
iajs-2977	9	4	truncated	truncated	ADJ
iajs-2977	9	5	distributions	distribution	NOUN
iajs-2977	9	6	is	be	AUX
iajs-2977	9	7	to	to	PART
iajs-2977	9	8	get	get	VERB
iajs-2977	9	9	better	well	ADJ
iajs-2977	9	10	results	result	NOUN
iajs-2977	9	11	.	.	PUNCT
iajs-2977	10	1	when	when	SCONJ
iajs-2977	10	2	a	a	DET
iajs-2977	10	3	distribution	distribution	NOUN
iajs-2977	10	4	is	be	AUX
iajs-2977	10	5	truncated	truncate	VERB
iajs-2977	10	6	,	,	PUNCT
iajs-2977	10	7	the	the	DET
iajs-2977	10	8	domain	domain	NOUN
iajs-2977	10	9	of	of	ADP
iajs-2977	10	10	the	the	DET
iajs-2977	10	11	truncated	truncate	VERB
iajs-2977	10	12	random	random	ADJ
iajs-2977	10	13	variable	variable	NOUN
iajs-2977	10	14	is	be	AUX
iajs-2977	10	15	restricted	restrict	VERB
iajs-2977	10	16	based	base	VERB
iajs-2977	10	17	on	on	ADP
iajs-2977	10	18	the	the	DET
iajs-2977	10	19	doi.org/10.30526/36.4.2977	doi.org/10.30526/36.4.2977	ADJ
iajs-2977	10	20	article	article	NOUN
iajs-2977	10	21	history	history	NOUN
iajs-2977	10	22	:	:	PUNCT
iajs-2977	10	23	received	receive	VERB
iajs-2977	10	24	14	14	NUM
iajs-2977	10	25	august	august	PROPN
iajs-2977	10	26	2022	2022	NUM
iajs-2977	10	27	,	,	PUNCT
iajs-2977	10	28	accepted	accept	VERB
iajs-2977	10	29	1	1	NUM
iajs-2977	10	30	november	november	PROPN
iajs-2977	10	31	2022	2022	NUM
iajs-2977	10	32	,	,	PUNCT
iajs-2977	10	33	published	publish	VERB
iajs-2977	10	34	in	in	ADP
iajs-2977	10	35	october	october	PROPN
iajs-2977	10	36	2023	2023	NUM
iajs-2977	10	37	ibn	ibn	PROPN
iajs-2977	10	38	al	al	PROPN
iajs-2977	10	39	-	-	PUNCT
iajs-2977	10	40	haitham	haitham	PROPN
iajs-2977	10	41	journal	journal	PROPN
iajs-2977	10	42	for	for	ADP
iajs-2977	10	43	pure	pure	ADJ
iajs-2977	10	44	and	and	CCONJ
iajs-2977	10	45	applied	applied	ADJ
iajs-2977	10	46	sciences	sciences	PROPN
iajs-2977	10	47	journal	journal	PROPN
iajs-2977	10	48	homepage	homepage	NOUN
iajs-2977	10	49	:	:	PUNCT
iajs-2977	10	50	jih.uobaghdad.edu.iq	jih.uobaghdad.edu.iq	NOUN
iajs-2977	10	51	truncated	truncate	VERB
iajs-2977	10	52	inverse	inverse	NOUN
iajs-2977	10	53	generalized	generalize	VERB
iajs-2977	10	54	rayleigh	rayleigh	NOUN
iajs-2977	10	55	distribution	distribution	NOUN
iajs-2977	10	56	and	and	CCONJ
iajs-2977	10	57	some	some	DET
iajs-2977	10	58	properties	property	NOUN
iajs-2977	10	59	noor	noor	PROPN
iajs-2977	10	60	abdul	abdul	PROPN
iajs-2977	10	61	ameer	ameer	PROPN
iajs-2977	10	62	jabbar	jabbar	PROPN
iajs-2977	10	63	*	*	PUNCT
iajs-2977	10	64	department	department	PROPN
iajs-2977	10	65	of	of	ADP
iajs-2977	10	66	mathematics	mathematics	PROPN
iajs-2977	10	67	,	,	PUNCT
iajs-2977	10	68	college	college	NOUN
iajs-2977	10	69	of	of	ADP
iajs-2977	10	70	education	education	NOUN
iajs-2977	10	71	for	for	ADP
iajs-2977	10	72	pure	pure	ADJ
iajs-2977	10	73	sciences	science	NOUN
iajs-2977	10	74	ibn	ibn	PROPN
iajs-2977	10	75	al	al	PROPN
iajs-2977	10	76	-	-	PUNCT
iajs-2977	10	77	haitham	haitham	PROPN
iajs-2977	10	78	,	,	PUNCT
iajs-2977	10	79	university	university	PROPN
iajs-2977	10	80	of	of	ADP
iajs-2977	10	81	baghdad	baghdad	PROPN
iajs-2977	10	82	,	,	PUNCT
iajs-2977	10	83	baghdad	baghdad	PROPN
iajs-2977	10	84	,	,	PUNCT
iajs-2977	10	85	iraq	iraq	PROPN
iajs-2977	10	86	.	.	PUNCT
iajs-2977	11	1	bayda	bayda	VERB
iajs-2977	11	2	atiya	atiya	PROPN
iajs-2977	11	3	kalaf	kalaf	PROPN
iajs-2977	11	4	department	department	PROPN
iajs-2977	11	5	of	of	ADP
iajs-2977	11	6	mathematics	mathematics	PROPN
iajs-2977	11	7	,	,	PUNCT
iajs-2977	11	8	college	college	NOUN
iajs-2977	11	9	of	of	ADP
iajs-2977	11	10	education	education	NOUN
iajs-2977	11	11	for	for	ADP
iajs-2977	11	12	pure	pure	ADJ
iajs-2977	11	13	sciences	science	NOUN
iajs-2977	11	14	ibn	ibn	PROPN
iajs-2977	11	15	al	al	PROPN
iajs-2977	11	16	-	-	PUNCT
iajs-2977	11	17	haitham	haitham	PROPN
iajs-2977	11	18	,	,	PUNCT
iajs-2977	11	19	university	university	PROPN
iajs-2977	11	20	of	of	ADP
iajs-2977	11	21	baghdad	baghdad	PROPN
iajs-2977	11	22	,	,	PUNCT
iajs-2977	11	23	baghdad	baghdad	PROPN
iajs-2977	11	24	,	,	PUNCT
iajs-2977	11	25	iraq	iraq	PROPN
iajs-2977	11	26	.	.	PUNCT
iajs-2977	12	1	umar	umar	PROPN
iajs-2977	12	2	yusuf	yusuf	PROPN
iajs-2977	12	3	madaki	madaki	PROPN
iajs-2977	12	4	department	department	PROPN
iajs-2977	12	5	of	of	ADP
iajs-2977	12	6	mathematics	mathematics	PROPN
iajs-2977	12	7	and	and	CCONJ
iajs-2977	12	8	statistics	statistic	NOUN
iajs-2977	12	9	,	,	PUNCT
iajs-2977	12	10	faculty	faculty	NOUN
iajs-2977	12	11	of	of	ADP
iajs-2977	12	12	science	science	NOUN
iajs-2977	12	13	,	,	PUNCT
iajs-2977	12	14	yobe	yobe	PROPN
iajs-2977	12	15	state	state	PROPN
iajs-2977	12	16	university	university	NOUN
iajs-2977	12	17	damaturu	damaturu	NOUN
iajs-2977	12	18	,	,	PUNCT
iajs-2977	12	19	nigeria	nigeria	PROPN
iajs-2977	12	20	https://creativecommons.org/licenses/by/4.0/	https://creativecommons.org/licenses/by/4.0/	PROPN
iajs-2977	12	21	mailto:naji198887@yahoo.com	mailto:naji198887@yahoo.com	PROPN
iajs-2977	12	22	mailto:naji198887@yahoo.com	mailto:naji198887@yahoo.com	PROPN
iajs-2977	12	23	mailto:baydaa.a.k@ihcoedu.uobaghdad.edu.iq	mailto:baydaa.a.k@ihcoedu.uobaghdad.edu.iq	ADJ
iajs-2977	12	24	mailto:turkyilm@hacettepe.edu.tr	mailto:turkyilm@hacettepe.edu.tr	PROPN
iajs-2977	12	25	415	415	NUM
iajs-2977	12	26	truncation	truncation	NOUN
iajs-2977	12	27	points	point	NOUN
iajs-2977	12	28	of	of	ADP
iajs-2977	12	29	interest	interest	NOUN
iajs-2977	12	30	,	,	PUNCT
iajs-2977	12	31	and	and	CCONJ
iajs-2977	12	32	thus	thus	ADV
iajs-2977	12	33	the	the	DET
iajs-2977	12	34	shape	shape	NOUN
iajs-2977	12	35	of	of	ADP
iajs-2977	12	36	the	the	DET
iajs-2977	12	37	distribution	distribution	NOUN
iajs-2977	12	38	changes	change	NOUN
iajs-2977	12	39	.	.	PUNCT
iajs-2977	13	1	in	in	ADP
iajs-2977	13	2	addition	addition	NOUN
iajs-2977	13	3	,	,	PUNCT
iajs-2977	13	4	it	it	PRON
iajs-2977	13	5	happens	happen	VERB
iajs-2977	13	6	when	when	SCONJ
iajs-2977	13	7	we	we	PRON
iajs-2977	13	8	are	be	AUX
iajs-2977	13	9	unable	unable	ADJ
iajs-2977	13	10	to	to	PART
iajs-2977	13	11	detect	detect	VERB
iajs-2977	13	12	or	or	CCONJ
iajs-2977	13	13	record	record	NOUN
iajs-2977	13	14	events	event	NOUN
iajs-2977	13	15	that	that	PRON
iajs-2977	13	16	take	take	VERB
iajs-2977	13	17	place	place	NOUN
iajs-2977	13	18	inside	inside	ADP
iajs-2977	13	19	or	or	CCONJ
iajs-2977	13	20	outside	outside	ADV
iajs-2977	13	21	of	of	ADP
iajs-2977	13	22	a	a	DET
iajs-2977	13	23	predetermined	predetermined	ADJ
iajs-2977	13	24	range	range	NOUN
iajs-2977	13	25	or	or	CCONJ
iajs-2977	13	26	below	below	ADV
iajs-2977	13	27	or	or	CCONJ
iajs-2977	13	28	above	above	ADP
iajs-2977	13	29	a	a	DET
iajs-2977	13	30	given	give	VERB
iajs-2977	13	31	threshold	threshold	NOUN
iajs-2977	13	32	.	.	PUNCT
iajs-2977	14	1	the	the	DET
iajs-2977	14	2	truncation	truncation	NOUN
iajs-2977	14	3	can	can	AUX
iajs-2977	14	4	be	be	AUX
iajs-2977	14	5	from	from	ADP
iajs-2977	14	6	the	the	DET
iajs-2977	14	7	left	left	ADJ
iajs-2977	14	8	side	side	NOUN
iajs-2977	14	9	,	,	PUNCT
iajs-2977	14	10	the	the	DET
iajs-2977	14	11	right	right	ADJ
iajs-2977	14	12	side	side	NOUN
iajs-2977	14	13	,	,	PUNCT
iajs-2977	14	14	or	or	CCONJ
iajs-2977	14	15	both	both	DET
iajs-2977	14	16	sides	side	NOUN
iajs-2977	15	1	[	[	X
iajs-2977	15	2	1	1	NUM
iajs-2977	15	3	-	-	SYM
iajs-2977	15	4	3	3	NUM
iajs-2977	15	5	]	]	PUNCT
iajs-2977	15	6	.	.	PUNCT
iajs-2977	16	1	galton	galton	PROPN
iajs-2977	16	2	et	et	PROPN
iajs-2977	16	3	al	al	PROPN
iajs-2977	16	4	.	.	PROPN
iajs-2977	16	5	introduced	introduce	VERB
iajs-2977	16	6	truncated	truncated	ADJ
iajs-2977	16	7	distribution	distribution	NOUN
iajs-2977	16	8	in	in	ADP
iajs-2977	16	9	1898	1898	NUM
iajs-2977	16	10	[	[	X
iajs-2977	16	11	4	4	NUM
iajs-2977	16	12	]	]	PUNCT
iajs-2977	16	13	.	.	PUNCT
iajs-2977	17	1	then	then	ADV
iajs-2977	17	2	,	,	PUNCT
iajs-2977	17	3	[	[	X
iajs-2977	17	4	5	5	NUM
iajs-2977	17	5	]	]	PUNCT
iajs-2977	17	6	provided	provide	VERB
iajs-2977	17	7	forms	form	NOUN
iajs-2977	17	8	for	for	ADP
iajs-2977	17	9	the	the	DET
iajs-2977	17	10	probability	probability	NOUN
iajs-2977	17	11	density	density	NOUN
iajs-2977	17	12	function	function	NOUN
iajs-2977	17	13	,	,	PUNCT
iajs-2977	17	14	cumulative	cumulative	ADJ
iajs-2977	17	15	distribution	distribution	NOUN
iajs-2977	17	16	function	function	NOUN
iajs-2977	17	17	,	,	PUNCT
iajs-2977	17	18	hazard	hazard	NOUN
iajs-2977	17	19	function	function	NOUN
iajs-2977	17	20	,	,	PUNCT
iajs-2977	17	21	characteristic	characteristic	ADJ
iajs-2977	17	22	function	function	NOUN
iajs-2977	17	23	,	,	PUNCT
iajs-2977	17	24	mean	mean	VERB
iajs-2977	17	25	,	,	PUNCT
iajs-2977	17	26	mode	mode	NOUN
iajs-2977	17	27	,	,	PUNCT
iajs-2977	17	28	median	median	NOUN
iajs-2977	17	29	,	,	PUNCT
iajs-2977	17	30	variance	variance	NOUN
iajs-2977	17	31	,	,	PUNCT
iajs-2977	17	32	skewness	skewness	NOUN
iajs-2977	17	33	,	,	PUNCT
iajs-2977	17	34	and	and	CCONJ
iajs-2977	17	35	kurtosis	kurtosis	NOUN
iajs-2977	17	36	of	of	ADP
iajs-2977	17	37	doubly	doubly	ADV
iajs-2977	17	38	truncated	truncated	ADJ
iajs-2977	17	39	fréchet	fréchet	NOUN
iajs-2977	17	40	distributions	distribution	NOUN
iajs-2977	17	41	.	.	PUNCT
iajs-2977	18	1	[	[	X
iajs-2977	18	2	6	6	NUM
iajs-2977	18	3	]	]	PUNCT
iajs-2977	18	4	introduced	introduce	VERB
iajs-2977	18	5	[	[	X
iajs-2977	18	6	0	0	NUM
iajs-2977	18	7	,	,	PUNCT
iajs-2977	18	8	1	1	NUM
iajs-2977	18	9	]	]	PUNCT
iajs-2977	18	10	;	;	PUNCT
iajs-2977	18	11	truncated	truncate	VERB
iajs-2977	18	12	fréchet	fréchet	NOUN
iajs-2977	18	13	gamma	gamma	PROPN
iajs-2977	18	14	and	and	CCONJ
iajs-2977	18	15	truncated	truncate	VERB
iajs-2977	18	16	fréchet	fréchet	VERB
iajs-2977	18	17	inverted	invert	VERB
iajs-2977	18	18	gamma	gamma	NOUN
iajs-2977	18	19	distributions	distribution	NOUN
iajs-2977	18	20	are	be	AUX
iajs-2977	18	21	discussed	discuss	VERB
iajs-2977	18	22	as	as	ADP
iajs-2977	18	23	special	special	ADJ
iajs-2977	18	24	cases	case	NOUN
iajs-2977	18	25	.	.	PUNCT
iajs-2977	19	1	[	[	X
iajs-2977	19	2	7	7	X
iajs-2977	19	3	]	]	PUNCT
iajs-2977	19	4	proposed	propose	VERB
iajs-2977	19	5	a	a	DET
iajs-2977	19	6	new	new	ADJ
iajs-2977	19	7	truncated	truncated	ADJ
iajs-2977	19	8	weibull	weibull	NOUN
iajs-2977	19	9	-	-	PUNCT
iajs-2977	19	10	g	g	PROPN
iajs-2977	19	11	(	(	PUNCT
iajs-2977	19	12	tw	tw	INTJ
iajs-2977	19	13	-	-	NOUN
iajs-2977	19	14	g	g	NOUN
iajs-2977	19	15	)	)	PUNCT
iajs-2977	19	16	.	.	PUNCT
iajs-2977	20	1	[	[	X
iajs-2977	20	2	8	8	NUM
iajs-2977	20	3	]	]	PUNCT
iajs-2977	20	4	introduced	introduce	VERB
iajs-2977	20	5	[	[	X
iajs-2977	20	6	0	0	NUM
iajs-2977	20	7	,	,	PUNCT
iajs-2977	20	8	1	1	NUM
iajs-2977	20	9	]	]	PUNCT
iajs-2977	20	10	truncated	truncate	VERB
iajs-2977	20	11	fréchet	fréchet	NOUN
iajs-2977	20	12	distributions	distribution	NOUN
iajs-2977	20	13	and	and	CCONJ
iajs-2977	20	14	[	[	X
iajs-2977	20	15	0	0	NUM
iajs-2977	20	16	,	,	PUNCT
iajs-2977	20	17	1	1	NUM
iajs-2977	20	18	]	]	PUNCT
iajs-2977	20	19	truncated	truncate	VERB
iajs-2977	20	20	fréchet	fréchet	NOUN
iajs-2977	20	21	weibull	weibull	PROPN
iajs-2977	20	22	as	as	ADP
iajs-2977	20	23	special	special	ADJ
iajs-2977	20	24	cases	case	NOUN
iajs-2977	20	25	.	.	PUNCT
iajs-2977	21	1	the	the	DET
iajs-2977	21	2	cumulative	cumulative	ADJ
iajs-2977	21	3	distribution	distribution	NOUN
iajs-2977	21	4	function	function	NOUN
iajs-2977	21	5	,	,	PUNCT
iajs-2977	21	6	rth	rth	NOUN
iajs-2977	21	7	moment	moment	NOUN
iajs-2977	21	8	,	,	PUNCT
iajs-2977	21	9	mean	mean	VERB
iajs-2977	21	10	,	,	PUNCT
iajs-2977	21	11	variance	variance	NOUN
iajs-2977	21	12	,	,	PUNCT
iajs-2977	21	13	skewness	skewness	NOUN
iajs-2977	21	14	,	,	PUNCT
iajs-2977	21	15	kurtosis	kurtosis	NOUN
iajs-2977	21	16	,	,	PUNCT
iajs-2977	21	17	mode	mode	NOUN
iajs-2977	21	18	,	,	PUNCT
iajs-2977	21	19	median	median	ADJ
iajs-2977	21	20	,	,	PUNCT
iajs-2977	21	21	characteristic	characteristic	ADJ
iajs-2977	21	22	function	function	NOUN
iajs-2977	21	23	,	,	PUNCT
iajs-2977	21	24	reliability	reliability	NOUN
iajs-2977	21	25	function	function	NOUN
iajs-2977	21	26	,	,	PUNCT
iajs-2977	21	27	and	and	CCONJ
iajs-2977	21	28	hazard	hazard	NOUN
iajs-2977	21	29	function	function	NOUN
iajs-2977	21	30	.	.	PUNCT
iajs-2977	22	1	[	[	X
iajs-2977	22	2	9	9	NUM
iajs-2977	22	3	]	]	PUNCT
iajs-2977	22	4	introduced	introduce	VERB
iajs-2977	22	5	truncated	truncate	VERB
iajs-2977	22	6	weibull	weibull	PROPN
iajs-2977	22	7	power	power	PROPN
iajs-2977	22	8	lomax	lomax	PROPN
iajs-2977	22	9	distribution	distribution	NOUN
iajs-2977	22	10	with	with	ADP
iajs-2977	22	11	four	four	NUM
iajs-2977	22	12	parameters	parameter	NOUN
iajs-2977	22	13	.	.	PUNCT
iajs-2977	23	1	[	[	X
iajs-2977	23	2	10	10	NUM
iajs-2977	23	3	]	]	PUNCT
iajs-2977	23	4	introduced	introduce	VERB
iajs-2977	23	5	[	[	X
iajs-2977	23	6	0,1	0,1	NUM
iajs-2977	23	7	]	]	PUNCT
iajs-2977	23	8	truncated	truncated	ADJ
iajs-2977	23	9	gompertz	gompertz	NOUN
iajs-2977	23	10	exponential	exponential	ADJ
iajs-2977	23	11	distribution	distribution	NOUN
iajs-2977	23	12	and	and	CCONJ
iajs-2977	23	13	[	[	X
iajs-2977	23	14	0,1	0,1	NUM
iajs-2977	23	15	]	]	PUNCT
iajs-2977	23	16	truncated	truncated	ADJ
iajs-2977	23	17	gompertz	gompertz	NOUN
iajs-2977	23	18	-	-	PUNCT
iajs-2977	23	19	g	g	NOUN
iajs-2977	23	20	family	family	NOUN
iajs-2977	23	21	distribution	distribution	NOUN
iajs-2977	23	22	and	and	CCONJ
iajs-2977	23	23	then	then	ADV
iajs-2977	23	24	discussed	discuss	VERB
iajs-2977	23	25	as	as	ADP
iajs-2977	23	26	cases	case	NOUN
iajs-2977	23	27	:	:	PUNCT
iajs-2977	23	28	probability	probability	NOUN
iajs-2977	23	29	density	density	NOUN
iajs-2977	23	30	function	function	NOUN
iajs-2977	23	31	(	(	PUNCT
iajs-2977	23	32	pdf	pdf	NOUN
iajs-2977	23	33	)	)	PUNCT
iajs-2977	23	34	,	,	PUNCT
iajs-2977	23	35	cumulative	cumulative	ADJ
iajs-2977	23	36	distribution	distribution	NOUN
iajs-2977	23	37	function	function	NOUN
iajs-2977	23	38	(	(	PUNCT
iajs-2977	23	39	cdf	cdf	PROPN
iajs-2977	23	40	)	)	PUNCT
iajs-2977	23	41	,	,	PUNCT
iajs-2977	23	42	hazard	hazard	NOUN
iajs-2977	23	43	rate	rate	NOUN
iajs-2977	23	44	function	function	NOUN
iajs-2977	23	45	(	(	PUNCT
iajs-2977	23	46	hf	hf	NOUN
iajs-2977	23	47	)	)	PUNCT
iajs-2977	23	48	,	,	PUNCT
iajs-2977	23	49	survival	survival	NOUN
iajs-2977	23	50	function	function	NOUN
iajs-2977	23	51	(	(	PUNCT
iajs-2977	23	52	sf	sf	PROPN
iajs-2977	23	53	)	)	PUNCT
iajs-2977	23	54	,	,	PUNCT
iajs-2977	23	55	moments	moment	NOUN
iajs-2977	23	56	,	,	PUNCT
iajs-2977	23	57	the	the	DET
iajs-2977	23	58	mean	mean	ADJ
iajs-2977	23	59	μ	μ	PROPN
iajs-2977	23	60	,	,	PUNCT
iajs-2977	23	61	variance	variance	NOUN
iajs-2977	23	62	σ2	σ2	NOUN
iajs-2977	23	63	,	,	PUNCT
iajs-2977	23	64	moment	moment	NOUN
iajs-2977	23	65	generating	generate	VERB
iajs-2977	23	66	function	function	NOUN
iajs-2977	23	67	(	(	PUNCT
iajs-2977	23	68	m.g.f	m.g.f	PROPN
iajs-2977	23	69	.	.	PUNCT
iajs-2977	23	70	)	)	PUNCT
iajs-2977	23	71	,	,	PUNCT
iajs-2977	23	72	median	median	PROPN
iajs-2977	23	73	m	m	PROPN
iajs-2977	23	74	,	,	PUNCT
iajs-2977	23	75	kurtosis	kurtosis	VERB
iajs-2977	23	76	kr	kr	PROPN
iajs-2977	23	77	,	,	PUNCT
iajs-2977	23	78	and	and	CCONJ
iajs-2977	23	79	skewness	skewness	NOUN
iajs-2977	23	80	sk	sk	NOUN
iajs-2977	23	81	.	.	PUNCT
iajs-2977	24	1	[	[	X
iajs-2977	24	2	11	11	NUM
iajs-2977	24	3	]	]	PUNCT
iajs-2977	24	4	introduced	introduce	VERB
iajs-2977	24	5	the	the	DET
iajs-2977	24	6	zero	zero	NUM
iajs-2977	24	7	truncated	truncate	VERB
iajs-2977	24	8	discrete	discrete	NOUN
iajs-2977	24	9	transmuted	transmute	VERB
iajs-2977	24	10	generalized	generalized	ADJ
iajs-2977	24	11	inverse	inverse	ADJ
iajs-2977	24	12	weibull	weibull	NOUN
iajs-2977	24	13	distribution	distribution	NOUN
iajs-2977	24	14	(	(	PUNCT
iajs-2977	24	15	zt	zt	NOUN
iajs-2977	24	16	-	-	PUNCT
iajs-2977	24	17	dtgiw	dtgiw	NOUN
iajs-2977	24	18	)	)	PUNCT
iajs-2977	24	19	.	.	PUNCT
iajs-2977	25	1	jumana	jumana	PROPN
iajs-2977	25	2	introduce	introduce	VERB
iajs-2977	25	3	[	[	X
iajs-2977	25	4	0,1	0,1	NUM
iajs-2977	25	5	]	]	PUNCT
iajs-2977	25	6	truncated	truncate	VERB
iajs-2977	25	7	lomax	lomax	PROPN
iajs-2977	25	8	–	–	PUNCT
iajs-2977	25	9	lomax	lomax	PROPN
iajs-2977	25	10	(	(	PUNCT
iajs-2977	25	11	[	[	X
iajs-2977	25	12	0,1]tld	0,1]tld	NOUN
iajs-2977	25	13	)	)	PUNCT
iajs-2977	25	14	distribution	distribution	NOUN
iajs-2977	25	15	.	.	PUNCT
iajs-2977	26	1	some	some	DET
iajs-2977	26	2	properties	property	NOUN
iajs-2977	26	3	of	of	ADP
iajs-2977	26	4	the	the	DET
iajs-2977	26	5	(	(	PUNCT
iajs-2977	26	6	[	[	X
iajs-2977	26	7	0,1	0,1	NOUN
iajs-2977	26	8	]	]	PUNCT
iajs-2977	26	9	tlld	tlld	NOUN
iajs-2977	26	10	)	)	PUNCT
iajs-2977	26	11	distribution	distribution	NOUN
iajs-2977	26	12	were	be	AUX
iajs-2977	26	13	derived	derive	VERB
iajs-2977	26	14	[	[	X
iajs-2977	26	15	12	12	NUM
iajs-2977	26	16	]	]	PUNCT
iajs-2977	26	17	.	.	PUNCT
iajs-2977	27	1	therefore	therefore	ADV
iajs-2977	27	2	,	,	PUNCT
iajs-2977	27	3	in	in	ADP
iajs-2977	27	4	this	this	DET
iajs-2977	27	5	study	study	NOUN
iajs-2977	27	6	,	,	PUNCT
iajs-2977	27	7	the	the	DET
iajs-2977	27	8	right	right	ADJ
iajs-2977	27	9	truncated	truncated	ADJ
iajs-2977	27	10	inverse	inverse	NOUN
iajs-2977	27	11	generalized	generalize	VERB
iajs-2977	27	12	raleigh	raleigh	NOUN
iajs-2977	27	13	distribution	distribution	NOUN
iajs-2977	27	14	was	be	AUX
iajs-2977	27	15	derived	derive	VERB
iajs-2977	27	16	and	and	CCONJ
iajs-2977	27	17	some	some	PRON
iajs-2977	27	18	of	of	ADP
iajs-2977	27	19	its	its	PRON
iajs-2977	27	20	statistical	statistical	ADJ
iajs-2977	27	21	and	and	CCONJ
iajs-2977	27	22	mathematical	mathematical	ADJ
iajs-2977	27	23	properties	property	NOUN
iajs-2977	27	24	were	be	AUX
iajs-2977	27	25	studied	study	VERB
iajs-2977	27	26	on	on	ADP
iajs-2977	27	27	[	[	X
iajs-2977	27	28	0,1	0,1	NUM
iajs-2977	27	29	]	]	PUNCT
iajs-2977	27	30	(	(	PUNCT
iajs-2977	27	31	probability	probability	NOUN
iajs-2977	27	32	density	density	NOUN
iajs-2977	27	33	function	function	NOUN
iajs-2977	27	34	,	,	PUNCT
iajs-2977	27	35	cumulative	cumulative	ADJ
iajs-2977	27	36	distribution	distribution	NOUN
iajs-2977	27	37	function	function	NOUN
iajs-2977	27	38	,	,	PUNCT
iajs-2977	27	39	survival	survival	NOUN
iajs-2977	27	40	function	function	NOUN
iajs-2977	27	41	,	,	PUNCT
iajs-2977	27	42	hazard	hazard	NOUN
iajs-2977	27	43	rate	rate	NOUN
iajs-2977	27	44	function	function	NOUN
iajs-2977	27	45	,	,	PUNCT
iajs-2977	27	46	rth	rth	NOUN
iajs-2977	27	47	moment	moment	NOUN
iajs-2977	27	48	,	,	PUNCT
iajs-2977	27	49	variance	variance	NOUN
iajs-2977	27	50	,	,	PUNCT
iajs-2977	27	51	moment	moment	NOUN
iajs-2977	27	52	generating	generating	NOUN
iajs-2977	27	53	functions	function	NOUN
iajs-2977	27	54	,	,	PUNCT
iajs-2977	27	55	kurtosis	kurtosis	NOUN
iajs-2977	27	56	,	,	PUNCT
iajs-2977	27	57	skewness	skewness	NOUN
iajs-2977	27	58	,	,	PUNCT
iajs-2977	27	59	median	median	NOUN
iajs-2977	27	60	,	,	PUNCT
iajs-2977	27	61	and	and	CCONJ
iajs-2977	27	62	mode	mode	NOUN
iajs-2977	27	63	)	)	PUNCT
iajs-2977	27	64	.	.	PUNCT
iajs-2977	28	1	2.truncated	2.truncated	NUM
iajs-2977	28	2	inverse	inverse	NOUN
iajs-2977	28	3	generalized	generalize	VERB
iajs-2977	28	4	rayleigh	rayleigh	NOUN
iajs-2977	28	5	distribution	distribution	NOUN
iajs-2977	28	6	the	the	DET
iajs-2977	28	7	rayleigh	rayleigh	NOUN
iajs-2977	28	8	distribution	distribution	NOUN
iajs-2977	28	9	derives	derive	VERB
iajs-2977	28	10	from	from	ADP
iajs-2977	28	11	the	the	DET
iajs-2977	28	12	weibull	weibull	NOUN
iajs-2977	28	13	distribution	distribution	NOUN
iajs-2977	28	14	with	with	ADP
iajs-2977	28	15	two	two	NUM
iajs-2977	28	16	parameters	parameter	NOUN
iajs-2977	28	17	and	and	CCONJ
iajs-2977	28	18	is	be	AUX
iajs-2977	28	19	a	a	DET
iajs-2977	28	20	suitable	suitable	ADJ
iajs-2977	28	21	model	model	NOUN
iajs-2977	28	22	for	for	ADP
iajs-2977	28	23	life	life	NOUN
iajs-2977	28	24	-	-	PUNCT
iajs-2977	28	25	testing	testing	NOUN
iajs-2977	28	26	studies	study	NOUN
iajs-2977	28	27	[	[	X
iajs-2977	28	28	13	13	NUM
iajs-2977	28	29	]	]	PUNCT
iajs-2977	28	30	;	;	PUNCT
iajs-2977	28	31	𝑓(𝑥	𝑓(𝑥	NOUN
iajs-2977	28	32	)	)	PUNCT
iajs-2977	28	33	=	=	SYM
iajs-2977	28	34	2	2	NUM
iajs-2977	28	35	𝜆	𝜆	DET
iajs-2977	28	36	𝑥𝑒−	𝑥𝑒−	PUNCT
iajs-2977	28	37	𝑥2	𝑥2	NOUN
iajs-2977	28	38	𝜆	𝜆	NOUN
iajs-2977	28	39	(	(	PUNCT
iajs-2977	28	40	1	1	NUM
iajs-2977	28	41	)	)	PUNCT
iajs-2977	28	42	𝐹(𝑥	𝐹(𝑥	NUM
iajs-2977	28	43	)	)	PUNCT
iajs-2977	28	44	=	=	SYM
iajs-2977	28	45	1	1	NUM
iajs-2977	28	46	−	−	NOUN
iajs-2977	28	47	𝑒−	𝑒−	NOUN
iajs-2977	28	48	𝑥2	𝑥2	NOUN
iajs-2977	28	49	𝜆	𝜆	NOUN
iajs-2977	28	50	(	(	PUNCT
iajs-2977	28	51	2	2	NUM
iajs-2977	28	52	)	)	PUNCT
iajs-2977	28	53	due	due	ADP
iajs-2977	28	54	to	to	ADP
iajs-2977	28	55	the	the	DET
iajs-2977	28	56	practical	practical	ADJ
iajs-2977	28	57	significance	significance	NOUN
iajs-2977	28	58	of	of	ADP
iajs-2977	28	59	the	the	DET
iajs-2977	28	60	rayleigh	rayleigh	PROPN
iajs-2977	28	61	distribution	distribution	NOUN
iajs-2977	28	62	,	,	PUNCT
iajs-2977	28	63	numerous	numerous	ADJ
iajs-2977	28	64	extended	extended	ADJ
iajs-2977	28	65	forms	form	NOUN
iajs-2977	28	66	of	of	ADP
iajs-2977	28	67	the	the	DET
iajs-2977	28	68	rayleigh	rayleigh	NOUN
iajs-2977	28	69	distribution	distribution	NOUN
iajs-2977	28	70	have	have	AUX
iajs-2977	28	71	been	be	AUX
iajs-2977	28	72	proposed	propose	VERB
iajs-2977	28	73	.	.	PUNCT
iajs-2977	29	1	for	for	ADP
iajs-2977	29	2	example	example	NOUN
iajs-2977	29	3	,	,	PUNCT
iajs-2977	29	4	[	[	X
iajs-2977	29	5	14	14	NUM
iajs-2977	29	6	-	-	SYM
iajs-2977	29	7	23	23	NUM
iajs-2977	29	8	]	]	PUNCT
iajs-2977	29	9	however	however	ADV
iajs-2977	29	10	,	,	PUNCT
iajs-2977	29	11	the	the	DET
iajs-2977	29	12	generalized	generalize	VERB
iajs-2977	29	13	inverted	invert	VERB
iajs-2977	29	14	scale	scale	NOUN
iajs-2977	29	15	family	family	NOUN
iajs-2977	29	16	distributions	distribution	NOUN
iajs-2977	29	17	were	be	AUX
iajs-2977	29	18	introduced	introduce	VERB
iajs-2977	29	19	by	by	ADP
iajs-2977	29	20	[	[	X
iajs-2977	29	21	24	24	NUM
iajs-2977	29	22	]	]	PUNCT
iajs-2977	29	23	.	.	PUNCT
iajs-2977	30	1	these	these	DET
iajs-2977	30	2	newly	newly	ADV
iajs-2977	30	3	developed	develop	VERB
iajs-2977	30	4	models	model	NOUN
iajs-2977	30	5	were	be	AUX
iajs-2977	30	6	formulated	formulate	VERB
iajs-2977	30	7	by	by	ADP
iajs-2977	30	8	introducing	introduce	VERB
iajs-2977	30	9	a	a	DET
iajs-2977	30	10	new	new	ADJ
iajs-2977	30	11	shape	shape	NOUN
iajs-2977	30	12	parameter	parameter	NOUN
iajs-2977	30	13	to	to	ADP
iajs-2977	30	14	the	the	DET
iajs-2977	30	15	scale	scale	NOUN
iajs-2977	30	16	family	family	NOUN
iajs-2977	30	17	of	of	ADP
iajs-2977	30	18	distributions	distribution	NOUN
iajs-2977	30	19	.	.	PUNCT
iajs-2977	31	1	these	these	DET
iajs-2977	31	2	models	model	NOUN
iajs-2977	31	3	give	give	VERB
iajs-2977	31	4	major	major	ADJ
iajs-2977	31	5	flexibility	flexibility	NOUN
iajs-2977	31	6	in	in	ADP
iajs-2977	31	7	modelling	model	VERB
iajs-2977	31	8	complex	complex	ADJ
iajs-2977	31	9	data	datum	NOUN
iajs-2977	31	10	and	and	CCONJ
iajs-2977	31	11	the	the	DET
iajs-2977	31	12	results	result	NOUN
iajs-2977	31	13	drawn	draw	VERB
iajs-2977	31	14	from	from	ADP
iajs-2977	31	15	them	they	PRON
iajs-2977	31	16	seem	seem	VERB
iajs-2977	31	17	genuine	genuine	ADJ
iajs-2977	31	18	and	and	CCONJ
iajs-2977	31	19	quite	quite	ADV
iajs-2977	31	20	sound	sound	NOUN
iajs-2977	31	21	[	[	X
iajs-2977	31	22	25	25	NUM
iajs-2977	31	23	-	-	SYM
iajs-2977	31	24	27	27	NUM
iajs-2977	31	25	]	]	PUNCT
iajs-2977	31	26	.	.	PUNCT
iajs-2977	32	1	mudholkar	mudholkar	PROPN
iajs-2977	32	2	and	and	CCONJ
iajs-2977	32	3	srivastava	srivastava	PROPN
iajs-2977	33	1	[	[	X
iajs-2977	33	2	28	28	NUM
iajs-2977	33	3	]	]	PUNCT
iajs-2977	33	4	suggested	suggest	VERB
iajs-2977	33	5	a	a	DET
iajs-2977	33	6	new	new	ADJ
iajs-2977	33	7	method	method	NOUN
iajs-2977	33	8	for	for	ADP
iajs-2977	33	9	generalization	generalization	NOUN
iajs-2977	33	10	different	different	ADJ
iajs-2977	33	11	distributions	distribution	NOUN
iajs-2977	33	12	416	416	NUM
iajs-2977	33	13	dependent	dependent	ADJ
iajs-2977	33	14	on	on	ADP
iajs-2977	33	15	c.d.f	c.d.f	NOUN
iajs-2977	33	16	,	,	PUNCT
iajs-2977	33	17	which	which	PRON
iajs-2977	33	18	we	we	PRON
iajs-2977	33	19	will	will	AUX
iajs-2977	33	20	be	be	AUX
iajs-2977	33	21	used	use	VERB
iajs-2977	33	22	to	to	PART
iajs-2977	33	23	generalize	generalize	VERB
iajs-2977	33	24	the	the	DET
iajs-2977	33	25	rayleigh	rayleigh	NOUN
iajs-2977	33	26	distribution	distribution	NOUN
iajs-2977	33	27	in	in	ADP
iajs-2977	33	28	this	this	DET
iajs-2977	33	29	paper	paper	NOUN
iajs-2977	33	30	as	as	SCONJ
iajs-2977	33	31	follows	follow	VERB
iajs-2977	33	32	:	:	PUNCT
iajs-2977	33	33	𝐺(𝑥	𝐺(𝑥	NUM
iajs-2977	33	34	)	)	PUNCT
iajs-2977	33	35	=	=	NOUN
iajs-2977	34	1	[	[	X
iajs-2977	34	2	𝐹(𝑥)]𝜃	𝐹(𝑥)]𝜃	X
iajs-2977	34	3	=	=	PUNCT
iajs-2977	34	4	[	[	PUNCT
iajs-2977	34	5	1	1	NUM
iajs-2977	34	6	−	−	NOUN
iajs-2977	34	7	𝑒−	𝑒−	NOUN
iajs-2977	34	8	𝑥2	𝑥2	NOUN
iajs-2977	34	9	𝜆	𝜆	NOUN
iajs-2977	34	10	]	]	X
iajs-2977	34	11	𝜃	𝜃	X
iajs-2977	34	12	(	(	PUNCT
iajs-2977	34	13	3	3	NUM
iajs-2977	34	14	)	)	PUNCT
iajs-2977	34	15	𝑔(𝑥	𝑔(𝑥	NUM
iajs-2977	34	16	)	)	PUNCT
iajs-2977	35	1	=	=	PUNCT
iajs-2977	35	2	𝜃	𝜃	X
iajs-2977	36	1	[	[	X
iajs-2977	36	2	1	1	NUM
iajs-2977	36	3	−	−	NOUN
iajs-2977	36	4	𝑒−	𝑒−	NOUN
iajs-2977	36	5	𝑥2	𝑥2	NOUN
iajs-2977	36	6	𝜆	𝜆	NOUN
iajs-2977	36	7	]	]	PUNCT
iajs-2977	37	1	𝜃−1	𝜃−1	PRON
iajs-2977	37	2	2𝑥	2𝑥	NOUN
iajs-2977	37	3	𝜆	𝜆	PRON
iajs-2977	37	4	𝑒−	𝑒−	NOUN
iajs-2977	37	5	𝑥2	𝑥2	NOUN
iajs-2977	37	6	𝜆	𝜆	NOUN
iajs-2977	37	7	(	(	PUNCT
iajs-2977	37	8	4	4	X
iajs-2977	37	9	)	)	PUNCT
iajs-2977	37	10	the	the	DET
iajs-2977	37	11	generalized	generalize	VERB
iajs-2977	37	12	raleigh	raleigh	NOUN
iajs-2977	37	13	distribution	distribution	NOUN
iajs-2977	37	14	can	can	AUX
iajs-2977	37	15	be	be	AUX
iajs-2977	37	16	shown	show	VERB
iajs-2977	37	17	by	by	ADP
iajs-2977	37	18	the	the	DET
iajs-2977	37	19	transformation	transformation	NOUN
iajs-2977	37	20	of	of	ADP
iajs-2977	37	21	a	a	DET
iajs-2977	37	22	random	random	ADJ
iajs-2977	37	23	variable	variable	NOUN
iajs-2977	37	24	.	.	PUNCT
iajs-2977	38	1	if	if	SCONJ
iajs-2977	38	2	the	the	DET
iajs-2977	38	3	random	random	ADJ
iajs-2977	38	4	variable	variable	NOUN
iajs-2977	38	5	𝑇	𝑇	PROPN
iajs-2977	38	6	has	have	AUX
iajs-2977	38	7	generalized	generalize	VERB
iajs-2977	38	8	raleigh	raleigh	NOUN
iajs-2977	38	9	distribution	distribution	NOUN
iajs-2977	38	10	,	,	PUNCT
iajs-2977	38	11	then	then	ADV
iajs-2977	38	12	the	the	DET
iajs-2977	38	13	r.	r.	PROPN
iajs-2977	38	14	v.	v.	PROPN
iajs-2977	38	15	x	x	PUNCT
iajs-2977	39	1	=	=	PUNCT
iajs-2977	39	2	(	(	PUNCT
iajs-2977	39	3	1	1	NUM
iajs-2977	39	4	t	t	NOUN
iajs-2977	39	5	)	)	PUNCT
iajs-2977	39	6	has	have	VERB
iajs-2977	39	7	an	an	DET
iajs-2977	39	8	inverse	inverse	NOUN
iajs-2977	39	9	generalized	generalize	VERB
iajs-2977	39	10	raleigh	raleigh	NOUN
iajs-2977	39	11	distribution	distribution	NOUN
iajs-2977	39	12	(	(	PUNCT
iajs-2977	39	13	igrd	igrd	NOUN
iajs-2977	39	14	)	)	PUNCT
iajs-2977	39	15	.	.	PUNCT
iajs-2977	40	1	suppose	suppose	VERB
iajs-2977	40	2	𝑇	𝑇	PROPN
iajs-2977	40	3	is	be	AUX
iajs-2977	40	4	a	a	DET
iajs-2977	40	5	random	random	ADJ
iajs-2977	40	6	variable	variable	NOUN
iajs-2977	40	7	following	follow	VERB
iajs-2977	40	8	inverse	inverse	NOUN
iajs-2977	40	9	generalized	generalize	VERB
iajs-2977	40	10	rayleigh	rayleigh	NOUN
iajs-2977	40	11	distribution	distribution	NOUN
iajs-2977	40	12	with	with	ADP
iajs-2977	40	13	two	two	NUM
iajs-2977	40	14	parameters	parameter	NOUN
iajs-2977	40	15	θ	θ	PROPN
iajs-2977	40	16	and	and	CCONJ
iajs-2977	40	17	λ	λ	PROPN
iajs-2977	40	18	.	.	PROPN
iajs-2977	40	19	then	then	ADV
iajs-2977	40	20	p.d.f	p.d.f	ADJ
iajs-2977	40	21	and	and	CCONJ
iajs-2977	40	22	c.d.f	c.d.f	ADJ
iajs-2977	40	23	functions	function	NOUN
iajs-2977	40	24	of	of	ADP
iajs-2977	40	25	inverse	inverse	NOUN
iajs-2977	40	26	generalized	generalize	VERB
iajs-2977	40	27	rayleigh	rayleigh	NOUN
iajs-2977	40	28	distribution	distribution	NOUN
iajs-2977	40	29	are	be	AUX
iajs-2977	40	30	given	give	VERB
iajs-2977	40	31	for	for	ADP
iajs-2977	40	32	equations	equation	NOUN
iajs-2977	40	33	(	(	PUNCT
iajs-2977	40	34	3	3	NUM
iajs-2977	40	35	)	)	PUNCT
iajs-2977	40	36	and	and	CCONJ
iajs-2977	40	37	(	(	PUNCT
iajs-2977	40	38	4	4	NUM
iajs-2977	40	39	)	)	PUNCT
iajs-2977	40	40	,	,	PUNCT
iajs-2977	40	41	respectively	respectively	ADV
iajs-2977	40	42	,	,	PUNCT
iajs-2977	40	43	by	by	ADP
iajs-2977	40	44	[	[	PUNCT
iajs-2977	40	45	29	29	NUM
iajs-2977	40	46	]	]	PUNCT
iajs-2977	40	47	;	;	PUNCT
iajs-2977	40	48	𝑔(𝑡	𝑔(𝑡	NUM
iajs-2977	40	49	)	)	PUNCT
iajs-2977	40	50	=	=	PUNCT
iajs-2977	41	1	[	[	X
iajs-2977	41	2	1	1	NUM
iajs-2977	41	3	−	−	NOUN
iajs-2977	41	4	𝑒	𝑒	PROPN
iajs-2977	41	5	−	−	PROPN
iajs-2977	41	6	1	1	NUM
iajs-2977	41	7	𝜆𝑡2	𝜆𝑡2	NOUN
iajs-2977	41	8	]	]	X
iajs-2977	42	1	𝜃−1	𝜃−1	ADP
iajs-2977	42	2	2𝜃	2𝜃	NUM
iajs-2977	42	3	𝜆𝑡3	𝜆𝑡3	NOUN
iajs-2977	42	4	𝑒	𝑒	ADP
iajs-2977	42	5	−	−	PROPN
iajs-2977	42	6	1	1	NUM
iajs-2977	42	7	𝜆𝑡2	𝜆𝑡2	NOUN
iajs-2977	42	8	(	(	PUNCT
iajs-2977	42	9	5	5	NUM
iajs-2977	42	10	)	)	PUNCT
iajs-2977	42	11	𝐺(𝑡	𝐺(𝑡	NOUN
iajs-2977	42	12	)	)	PUNCT
iajs-2977	42	13	=	=	SYM
iajs-2977	43	1	1	1	NUM
iajs-2977	43	2	−	−	NOUN
iajs-2977	43	3	[	[	X
iajs-2977	43	4	1	1	NUM
iajs-2977	43	5	−	−	NOUN
iajs-2977	43	6	𝑒	𝑒	PROPN
iajs-2977	43	7	−	−	PROPN
iajs-2977	43	8	1	1	NUM
iajs-2977	43	9	𝜆𝑡2	𝜆𝑡2	NOUN
iajs-2977	43	10	]	]	X
iajs-2977	43	11	𝜃	𝜃	X
iajs-2977	43	12	(	(	PUNCT
iajs-2977	43	13	6	6	NUM
iajs-2977	43	14	)	)	PUNCT
iajs-2977	43	15	when	when	SCONJ
iajs-2977	43	16	0	0	NUM
iajs-2977	43	17	<	<	X
iajs-2977	43	18	t	t	X
iajs-2977	43	19	<	<	X
iajs-2977	43	20	∞	∞	PROPN
iajs-2977	43	21	and	and	CCONJ
iajs-2977	43	22	𝑔	𝑔	PROPN
iajs-2977	43	23	(	(	PUNCT
iajs-2977	43	24	𝑡	𝑡	NOUN
iajs-2977	43	25	)	)	PUNCT
iajs-2977	43	26	=	=	SYM
iajs-2977	43	27	0	0	PUNCT
iajs-2977	44	1	o.w	o.w	PROPN
iajs-2977	44	2	hance	hance	PROPN
iajs-2977	44	3	for	for	ADP
iajs-2977	44	4	truncation	truncation	NOUN
iajs-2977	44	5	for	for	ADP
iajs-2977	44	6	the	the	DET
iajs-2977	44	7	inverse	inverse	NOUN
iajs-2977	44	8	generalized	generalize	VERB
iajs-2977	44	9	rayleigh	rayleigh	NOUN
iajs-2977	44	10	distribution	distribution	NOUN
iajs-2977	44	11	,	,	PUNCT
iajs-2977	44	12	right	right	ADJ
iajs-2977	44	13	-	-	PUNCT
iajs-2977	44	14	side	side	NOUN
iajs-2977	44	15	truncation	truncation	NOUN
iajs-2977	44	16	for	for	ADP
iajs-2977	44	17	the	the	DET
iajs-2977	44	18	inverse	inverse	NOUN
iajs-2977	44	19	generalized	generalize	VERB
iajs-2977	44	20	rayleigh	rayleigh	NOUN
iajs-2977	44	21	distribution	distribution	NOUN
iajs-2977	44	22	to	to	PART
iajs-2977	44	23	called	call	VERB
iajs-2977	44	24	right	right	ADJ
iajs-2977	44	25	truncated	truncated	ADJ
iajs-2977	44	26	inverse	inverse	NOUN
iajs-2977	44	27	generalized	generalize	VERB
iajs-2977	44	28	rayleigh	rayleigh	NOUN
iajs-2977	44	29	distribution	distribution	NOUN
iajs-2977	44	30	(	(	PUNCT
iajs-2977	44	31	rtigrd	rtigrd	NOUN
iajs-2977	44	32	)	)	PUNCT
iajs-2977	44	33	on	on	ADP
iajs-2977	44	34	[	[	X
iajs-2977	44	35	0	0	NUM
iajs-2977	44	36	,	,	PUNCT
iajs-2977	44	37	1	1	NUM
iajs-2977	44	38	]	]	PUNCT
iajs-2977	44	39	by	by	ADP
iajs-2977	44	40	using	use	VERB
iajs-2977	44	41	𝑓𝑅𝑇𝐼𝐺𝑅𝐷(𝑡	𝑓𝑅𝑇𝐼𝐺𝑅𝐷(𝑡	NOUN
iajs-2977	44	42	)	)	PUNCT
iajs-2977	44	43	=	=	SYM
iajs-2977	44	44	𝑔(𝑡	𝑔(𝑡	PROPN
iajs-2977	44	45	)	)	PUNCT
iajs-2977	44	46	𝐺(1	𝐺(1	PUNCT
iajs-2977	44	47	)	)	PUNCT
iajs-2977	45	1	[	[	X
iajs-2977	45	2	30	30	NUM
iajs-2977	45	3	]	]	PUNCT
iajs-2977	45	4	,	,	PUNCT
iajs-2977	45	5	when	when	SCONJ
iajs-2977	45	6	t=1	t=1	ADV
iajs-2977	45	7	in	in	ADP
iajs-2977	45	8	equation	equation	NOUN
iajs-2977	45	9	(	(	PUNCT
iajs-2977	45	10	6	6	NUM
iajs-2977	45	11	)	)	PUNCT
iajs-2977	45	12	𝐺(1	𝐺(1	NUM
iajs-2977	45	13	)	)	PUNCT
iajs-2977	45	14	=	=	SYM
iajs-2977	46	1	1	1	NUM
iajs-2977	46	2	−	−	NOUN
iajs-2977	46	3	[	[	X
iajs-2977	46	4	1	1	NUM
iajs-2977	46	5	−	−	NUM
iajs-2977	46	6	𝑒−	𝑒−	NOUN
iajs-2977	46	7	1	1	NUM
iajs-2977	46	8	𝜆	𝜆	NOUN
iajs-2977	46	9	]	]	X
iajs-2977	46	10	𝜃	𝜃	X
iajs-2977	46	11	𝑓𝑅𝑇𝐼𝐺𝑅𝐷(𝑡	𝑓𝑅𝑇𝐼𝐺𝑅𝐷(𝑡	NOUN
iajs-2977	46	12	)	)	PUNCT
iajs-2977	46	13	=	=	SYM
iajs-2977	46	14	𝑔(𝑡	𝑔(𝑡	PROPN
iajs-2977	46	15	)	)	PUNCT
iajs-2977	46	16	𝐺(1	𝐺(1	PUNCT
iajs-2977	46	17	)	)	PUNCT
iajs-2977	46	18	the	the	DET
iajs-2977	46	19	p.d.f	p.d.f	NOUN
iajs-2977	46	20	of	of	ADP
iajs-2977	46	21	rtigrd	rtigrd	NOUN
iajs-2977	46	22	is	be	AUX
iajs-2977	46	23	𝑓𝑅𝑇𝐼𝐺𝑅𝐷(𝑡	𝑓𝑅𝑇𝐼𝐺𝑅𝐷(𝑡	NOUN
iajs-2977	46	24	)	)	PUNCT
iajs-2977	46	25	=	=	PUNCT
iajs-2977	47	1	[	[	X
iajs-2977	47	2	1−𝑒	1−𝑒	NUM
iajs-2977	47	3	−	−	NOUN
iajs-2977	47	4	1	1	NUM
iajs-2977	47	5	𝜆𝑡2	𝜆𝑡2	NOUN
iajs-2977	47	6	]	]	X
iajs-2977	48	1	𝜃−1	𝜃−1	ADP
iajs-2977	48	2	2𝜃	2𝜃	NUM
iajs-2977	48	3	𝜆𝑡3	𝜆𝑡3	NOUN
iajs-2977	48	4	𝑒	𝑒	ADP
iajs-2977	48	5	−	−	PROPN
iajs-2977	48	6	1	1	NUM
iajs-2977	48	7	𝜆𝑡2	𝜆𝑡2	NOUN
iajs-2977	48	8	1−[1−𝑒	1−[1−𝑒	NUM
iajs-2977	48	9	−	−	NOUN
iajs-2977	48	10	1	1	NUM
iajs-2977	48	11	𝜆	𝜆	NOUN
iajs-2977	48	12	]	]	X
iajs-2977	48	13	𝜃	𝜃	X
iajs-2977	48	14	,	,	PUNCT
iajs-2977	48	15	0	0	NUM
iajs-2977	48	16	≤	≤	NUM
iajs-2977	48	17	t	t	NOUN
iajs-2977	48	18	≤	≤	NUM
iajs-2977	48	19	1	1	NUM
iajs-2977	48	20	the	the	DET
iajs-2977	48	21	c.d.f	c.d.f	NOUN
iajs-2977	48	22	of	of	ADP
iajs-2977	48	23	rtigrd	rtigrd	NOUN
iajs-2977	48	24	is	be	AUX
iajs-2977	48	25	𝐹𝑅𝑇𝐼𝐺𝑅𝐷(𝑡	𝐹𝑅𝑇𝐼𝐺𝑅𝐷(𝑡	VERB
iajs-2977	48	26	)	)	PUNCT
iajs-2977	49	1	=	=	SYM
iajs-2977	49	2	∫	∫	PROPN
iajs-2977	50	1	[	[	X
iajs-2977	50	2	1−𝑒	1−𝑒	NUM
iajs-2977	50	3	−	−	NOUN
iajs-2977	50	4	1	1	NUM
iajs-2977	50	5	𝜆𝑡2	𝜆𝑡2	NOUN
iajs-2977	50	6	]	]	X
iajs-2977	51	1	𝜃−1	𝜃−1	ADP
iajs-2977	51	2	2𝜃	2𝜃	NUM
iajs-2977	51	3	𝜆𝑡3	𝜆𝑡3	NOUN
iajs-2977	51	4	𝑒	𝑒	ADP
iajs-2977	51	5	−	−	PROPN
iajs-2977	51	6	1	1	NUM
iajs-2977	51	7	𝜆𝑡2	𝜆𝑡2	NOUN
iajs-2977	51	8	1−[1−𝑒	1−[1−𝑒	NUM
iajs-2977	51	9	−	−	NOUN
iajs-2977	51	10	1	1	NUM
iajs-2977	51	11	𝜆	𝜆	NOUN
iajs-2977	51	12	]	]	X
iajs-2977	51	13	𝜃	𝜃	NUM
iajs-2977	51	14	𝑡	𝑡	PROPN
iajs-2977	51	15	0	0	NUM
iajs-2977	51	16	𝑑𝑡	𝑑𝑡	ADP
iajs-2977	51	17	417	417	NUM
iajs-2977	51	18	therefore	therefore	ADV
iajs-2977	51	19	,	,	PUNCT
iajs-2977	51	20	𝐹𝑅𝑇𝐼𝐺𝑅𝐷(𝑡	𝐹𝑅𝑇𝐼𝐺𝑅𝐷(𝑡	ADJ
iajs-2977	51	21	)	)	PUNCT
iajs-2977	51	22	=	=	SYM
iajs-2977	52	1	1−[1−𝑒	1−[1−𝑒	NUM
iajs-2977	52	2	−	−	NOUN
iajs-2977	52	3	1	1	NUM
iajs-2977	52	4	𝜆𝑡2	𝜆𝑡2	NOUN
iajs-2977	52	5	]	]	X
iajs-2977	52	6	𝜃	𝜃	PRON
iajs-2977	52	7	1−[1−𝑒	1−[1−𝑒	NUM
iajs-2977	52	8	−	−	NOUN
iajs-2977	52	9	1	1	NUM
iajs-2977	52	10	𝜆	𝜆	NOUN
iajs-2977	52	11	]	]	X
iajs-2977	52	12	𝜃	𝜃	NUM
iajs-2977	52	13	the	the	DET
iajs-2977	52	14	survival	survival	NOUN
iajs-2977	52	15	function	function	NOUN
iajs-2977	52	16	of	of	ADP
iajs-2977	52	17	rtigrd	rtigrd	NOUN
iajs-2977	52	18	is	be	AUX
iajs-2977	52	19	𝑆𝑅𝑇𝐼𝐺𝑅𝐷(𝑡	𝑆𝑅𝑇𝐼𝐺𝑅𝐷(𝑡	NOUN
iajs-2977	52	20	)	)	PUNCT
iajs-2977	52	21	=	=	SYM
iajs-2977	52	22	1	1	NUM
iajs-2977	52	23	−	−	NOUN
iajs-2977	52	24	𝐹𝑅𝑇𝐼𝐺𝑅𝐷(𝑡	𝐹𝑅𝑇𝐼𝐺𝑅𝐷(𝑡	NOUN
iajs-2977	52	25	)	)	PUNCT
iajs-2977	52	26	=	=	SYM
iajs-2977	52	27	1	1	NUM
iajs-2977	52	28	−	−	NUM
iajs-2977	52	29	1−[1−𝑒	1−[1−𝑒	NUM
iajs-2977	52	30	−	−	NOUN
iajs-2977	52	31	1	1	NUM
iajs-2977	52	32	𝜆𝑡2	𝜆𝑡2	NOUN
iajs-2977	52	33	]	]	X
iajs-2977	52	34	𝜃	𝜃	PRON
iajs-2977	52	35	1−[1−𝑒	1−[1−𝑒	NUM
iajs-2977	52	36	−	−	NOUN
iajs-2977	52	37	1	1	NUM
iajs-2977	52	38	𝜆	𝜆	NOUN
iajs-2977	52	39	]	]	X
iajs-2977	52	40	𝜃	𝜃	NOUN
iajs-2977	52	41	=	=	SYM
iajs-2977	52	42	1−[1−𝑒	1−[1−𝑒	NUM
iajs-2977	52	43	−	−	NOUN
iajs-2977	52	44	1	1	NUM
iajs-2977	52	45	𝜆	𝜆	NOUN
iajs-2977	52	46	]	]	X
iajs-2977	52	47	𝜃	𝜃	NUM
iajs-2977	52	48	−1+[1−𝑒	−1+[1−𝑒	NOUN
iajs-2977	52	49	−	−	NOUN
iajs-2977	52	50	1	1	NUM
iajs-2977	52	51	𝜆𝑡2	𝜆𝑡2	NOUN
iajs-2977	52	52	]	]	X
iajs-2977	52	53	𝜃	𝜃	PRON
iajs-2977	52	54	1−[1−𝑒	1−[1−𝑒	NUM
iajs-2977	52	55	−	−	NOUN
iajs-2977	52	56	1	1	NUM
iajs-2977	52	57	𝜆	𝜆	NOUN
iajs-2977	52	58	]	]	X
iajs-2977	52	59	𝜃	𝜃	X
iajs-2977	52	60	𝑆𝑅𝑇𝐼𝐺𝑅𝐷(𝑡	𝑆𝑅𝑇𝐼𝐺𝑅𝐷(𝑡	NOUN
iajs-2977	52	61	)	)	PUNCT
iajs-2977	52	62	=	=	PUNCT
iajs-2977	53	1	[	[	X
iajs-2977	53	2	1−𝑒	1−𝑒	NUM
iajs-2977	53	3	−	−	NOUN
iajs-2977	53	4	1	1	NUM
iajs-2977	53	5	𝜆𝑡2	𝜆𝑡2	NOUN
iajs-2977	53	6	]	]	X
iajs-2977	53	7	𝜃	𝜃	X
iajs-2977	53	8	−[1−𝑒	−[1−𝑒	NOUN
iajs-2977	53	9	−	−	NOUN
iajs-2977	53	10	1	1	NUM
iajs-2977	53	11	𝜆	𝜆	NOUN
iajs-2977	53	12	]	]	X
iajs-2977	53	13	𝜃	𝜃	NUM
iajs-2977	53	14	1−[1−𝑒	1−[1−𝑒	NUM
iajs-2977	53	15	−	−	NOUN
iajs-2977	53	16	1	1	NUM
iajs-2977	53	17	𝜆	𝜆	NOUN
iajs-2977	53	18	]	]	X
iajs-2977	53	19	𝜃	𝜃	X
iajs-2977	53	20	the	the	DET
iajs-2977	53	21	hazard	hazard	NOUN
iajs-2977	53	22	function	function	NOUN
iajs-2977	53	23	of	of	ADP
iajs-2977	53	24	rtigrd	rtigrd	NOUN
iajs-2977	53	25	is	be	AUX
iajs-2977	53	26	𝐻𝑅𝑇𝐼𝐺𝑅𝐷(𝑡	𝐻𝑅𝑇𝐼𝐺𝑅𝐷(𝑡	NOUN
iajs-2977	53	27	)	)	PUNCT
iajs-2977	54	1	=	=	PUNCT
iajs-2977	54	2	𝑓𝑅𝑇𝐼𝐺𝑅𝐷(𝑡	𝑓𝑅𝑇𝐼𝐺𝑅𝐷(𝑡	NOUN
iajs-2977	54	3	)	)	PUNCT
iajs-2977	54	4	𝑆𝑅𝑇𝐼𝐺𝑅𝐷(𝑡	𝑆𝑅𝑇𝐼𝐺𝑅𝐷(𝑡	NOUN
iajs-2977	54	5	)	)	PUNCT
iajs-2977	54	6	𝐻𝑅𝑇𝐼𝐺𝑅𝐷(𝑡	𝐻𝑅𝑇𝐼𝐺𝑅𝐷(𝑡	PROPN
iajs-2977	54	7	)	)	PUNCT
iajs-2977	55	1	=	=	PUNCT
iajs-2977	56	1	[	[	X
iajs-2977	56	2	1−𝑒	1−𝑒	NUM
iajs-2977	56	3	−	−	NOUN
iajs-2977	56	4	1	1	NUM
iajs-2977	56	5	𝜆𝑡2	𝜆𝑡2	NOUN
iajs-2977	56	6	]	]	X
iajs-2977	57	1	𝜃−1	𝜃−1	ADP
iajs-2977	57	2	2𝜃	2𝜃	NUM
iajs-2977	57	3	𝜆𝑡3	𝜆𝑡3	NOUN
iajs-2977	57	4	𝑒	𝑒	ADP
iajs-2977	57	5	−	−	PROPN
iajs-2977	57	6	1	1	NUM
iajs-2977	57	7	𝜆𝑡2	𝜆𝑡2	NOUN
iajs-2977	57	8	1−[1−𝑒	1−[1−𝑒	NUM
iajs-2977	57	9	−	−	NOUN
iajs-2977	57	10	1	1	NUM
iajs-2977	57	11	𝜆	𝜆	NOUN
iajs-2977	57	12	]	]	X
iajs-2977	57	13	𝜃	𝜃	X
iajs-2977	58	1	[	[	X
iajs-2977	58	2	1−𝑒	1−𝑒	NUM
iajs-2977	58	3	−	−	NOUN
iajs-2977	58	4	1	1	NUM
iajs-2977	58	5	𝜆𝑡2	𝜆𝑡2	NOUN
iajs-2977	58	6	]	]	X
iajs-2977	58	7	𝜃	𝜃	X
iajs-2977	58	8	−[1−𝑒	−[1−𝑒	NOUN
iajs-2977	58	9	−	−	NOUN
iajs-2977	58	10	1	1	NUM
iajs-2977	58	11	𝜆	𝜆	NOUN
iajs-2977	58	12	]	]	X
iajs-2977	58	13	𝜃	𝜃	NUM
iajs-2977	58	14	1−[1−𝑒	1−[1−𝑒	NUM
iajs-2977	58	15	−	−	NOUN
iajs-2977	58	16	1	1	NUM
iajs-2977	58	17	𝜆	𝜆	NOUN
iajs-2977	58	18	]	]	X
iajs-2977	58	19	𝜃	𝜃	X
iajs-2977	58	20	𝐻𝑅𝑇𝐼𝐺𝑅𝐷(𝑡	𝐻𝑅𝑇𝐼𝐺𝑅𝐷(𝑡	NOUN
iajs-2977	58	21	)	)	PUNCT
iajs-2977	58	22	=	=	PUNCT
iajs-2977	59	1	[	[	X
iajs-2977	59	2	1−𝑒	1−𝑒	NUM
iajs-2977	59	3	−	−	NOUN
iajs-2977	59	4	1	1	NUM
iajs-2977	59	5	𝜆𝑡2	𝜆𝑡2	NOUN
iajs-2977	59	6	]	]	X
iajs-2977	60	1	𝜃−1	𝜃−1	ADP
iajs-2977	60	2	2𝜃	2𝜃	NUM
iajs-2977	60	3	𝜆𝑡3	𝜆𝑡3	NOUN
iajs-2977	60	4	𝑒	𝑒	ADP
iajs-2977	60	5	−	−	PROPN
iajs-2977	60	6	1	1	NUM
iajs-2977	60	7	𝜆𝑡2	𝜆𝑡2	NOUN
iajs-2977	61	1	[	[	X
iajs-2977	61	2	1−𝑒	1−𝑒	NUM
iajs-2977	61	3	−	−	NOUN
iajs-2977	61	4	1	1	NUM
iajs-2977	61	5	𝜆𝑡2	𝜆𝑡2	NOUN
iajs-2977	61	6	]	]	X
iajs-2977	61	7	𝜃	𝜃	X
iajs-2977	61	8	−[1−𝑒	−[1−𝑒	NOUN
iajs-2977	61	9	−	−	NOUN
iajs-2977	61	10	1	1	NUM
iajs-2977	61	11	𝜆	𝜆	NOUN
iajs-2977	61	12	]	]	X
iajs-2977	61	13	𝜃	𝜃	X
iajs-2977	61	14	where	where	SCONJ
iajs-2977	61	15	,	,	PUNCT
iajs-2977	61	16	t	t	PROPN
iajs-2977	61	17	:	:	PUNCT
iajs-2977	61	18	is	be	AUX
iajs-2977	61	19	a	a	DET
iajs-2977	61	20	value	value	NOUN
iajs-2977	61	21	of	of	ADP
iajs-2977	61	22	random	random	ADJ
iajs-2977	61	23	variable	variable	NOUN
iajs-2977	61	24	and	and	CCONJ
iajs-2977	61	25	0	0	NUM
iajs-2977	61	26	<	<	X
iajs-2977	61	27	𝑡	𝑡	X
iajs-2977	61	28	<	<	X
iajs-2977	61	29	1	1	NUM
iajs-2977	61	30	.	.	PUNCT
iajs-2977	62	1	𝜃	𝜃	X
iajs-2977	62	2	:	:	PUNCT
iajs-2977	62	3	shape	shape	NOUN
iajs-2977	62	4	parameter	parameter	NOUN
iajs-2977	62	5	and	and	CCONJ
iajs-2977	62	6	𝜃	𝜃	X
iajs-2977	62	7	>	>	X
iajs-2977	62	8	0	0	NUM
iajs-2977	62	9	.	.	PUNCT
iajs-2977	63	1	𝜆	𝜆	X
iajs-2977	63	2	:	:	PUNCT
iajs-2977	63	3	scale	scale	NOUN
iajs-2977	63	4	parameter	parameter	NOUN
iajs-2977	63	5	and	and	CCONJ
iajs-2977	63	6	𝜆	𝜆	ADJ
iajs-2977	63	7	>	>	X
iajs-2977	63	8	0	0	X
iajs-2977	63	9	.	.	PUNCT
iajs-2977	63	10	figures	figure	NOUN
iajs-2977	63	11	(	(	PUNCT
iajs-2977	63	12	1),(2),(3	1),(2),(3	NUM
iajs-2977	63	13	)	)	PUNCT
iajs-2977	63	14	and	and	CCONJ
iajs-2977	63	15	(	(	PUNCT
iajs-2977	63	16	4	4	X
iajs-2977	63	17	)	)	PUNCT
iajs-2977	63	18	plot	plot	NOUN
iajs-2977	63	19	the	the	DET
iajs-2977	63	20	p.d.f	p.d.f	ADJ
iajs-2977	63	21	,	,	PUNCT
iajs-2977	63	22	c.d.f	c.d.f	NOUN
iajs-2977	63	23	,	,	PUNCT
iajs-2977	63	24	sf	sf	PROPN
iajs-2977	63	25	and	and	CCONJ
iajs-2977	63	26	hf	hf	VERB
iajs-2977	63	27	for	for	ADP
iajs-2977	63	28	the	the	DET
iajs-2977	63	29	rtigrd	rtigrd	NOUN
iajs-2977	63	30	for	for	ADP
iajs-2977	63	31	some	some	DET
iajs-2977	63	32	cases	case	NOUN
iajs-2977	63	33	of	of	ADP
iajs-2977	63	34	𝜃	𝜃	NOUN
iajs-2977	63	35	and	and	CCONJ
iajs-2977	63	36	𝜆	𝜆	DET
iajs-2977	63	37	418	418	NUM
iajs-2977	63	38	figure	figure	NOUN
iajs-2977	63	39	1	1	NUM
iajs-2977	63	40	.	.	PUNCT
iajs-2977	63	41	probability	probability	NOUN
iajs-2977	63	42	density	density	NOUN
iajs-2977	63	43	function	function	NOUN
iajs-2977	63	44	figure	figure	NOUN
iajs-2977	63	45	2	2	NUM
iajs-2977	63	46	.	.	PUNCT
iajs-2977	63	47	cumulative	cumulative	ADJ
iajs-2977	63	48	distribution	distribution	NOUN
iajs-2977	63	49	function	function	NOUN
iajs-2977	63	50	figure	figure	NOUN
iajs-2977	63	51	3	3	NUM
iajs-2977	63	52	.	.	PUNCT
iajs-2977	63	53	survival	survival	NOUN
iajs-2977	63	54	function	function	PROPN
iajs-2977	63	55	figure	figure	NOUN
iajs-2977	63	56	4	4	NUM
iajs-2977	63	57	.	.	PUNCT
iajs-2977	63	58	hazard	hazard	NOUN
iajs-2977	63	59	function	function	PROPN
iajs-2977	63	60	ihjpas	ihjpa	VERB
iajs-2977	63	61	.	.	PUNCT
iajs-2977	64	1	36	36	NUM
iajs-2977	64	2	(	(	PUNCT
iajs-2977	64	3	4	4	NUM
iajs-2977	64	4	)	)	PUNCT
iajs-2977	64	5	2023	2023	NUM
iajs-2977	64	6	419	419	NUM
iajs-2977	64	7	3.some	3.some	NUM
iajs-2977	64	8	properties	property	NOUN
iajs-2977	64	9	of	of	ADP
iajs-2977	64	10	right	right	ADJ
iajs-2977	64	11	truncated	truncated	ADJ
iajs-2977	64	12	inverse	inverse	NOUN
iajs-2977	64	13	generalized	generalize	VERB
iajs-2977	64	14	rayleigh	rayleigh	NOUN
iajs-2977	64	15	distribution	distribution	NOUN
iajs-2977	64	16	in	in	ADP
iajs-2977	64	17	this	this	DET
iajs-2977	64	18	section	section	NOUN
iajs-2977	64	19	,	,	PUNCT
iajs-2977	64	20	some	some	DET
iajs-2977	64	21	properties	property	NOUN
iajs-2977	64	22	are	be	AUX
iajs-2977	64	23	given	give	VERB
iajs-2977	64	24	for	for	ADP
iajs-2977	64	25	rtgrd	rtgrd	NOUN
iajs-2977	64	26	.	.	PUNCT
iajs-2977	65	1	however	however	ADV
iajs-2977	65	2	,	,	PUNCT
iajs-2977	65	3	some	some	DET
iajs-2977	65	4	properties	property	NOUN
iajs-2977	65	5	are	be	AUX
iajs-2977	65	6	complicated	complicated	ADJ
iajs-2977	65	7	to	to	PART
iajs-2977	65	8	solve	solve	VERB
iajs-2977	65	9	.	.	PUNCT
iajs-2977	66	1	for	for	ADP
iajs-2977	66	2	this	this	DET
iajs-2977	66	3	reason	reason	NOUN
iajs-2977	66	4	,	,	PUNCT
iajs-2977	66	5	use	use	VERB
iajs-2977	66	6	numerical	numerical	ADJ
iajs-2977	66	7	analysis	analysis	NOUN
iajs-2977	66	8	to	to	PART
iajs-2977	66	9	find	find	VERB
iajs-2977	66	10	it	it	PRON
iajs-2977	66	11	.	.	PUNCT
iajs-2977	67	1	we	we	PRON
iajs-2977	67	2	made	make	VERB
iajs-2977	67	3	some	some	DET
iajs-2977	67	4	simplifications	simplification	NOUN
iajs-2977	67	5	for	for	ADP
iajs-2977	67	6	the	the	DET
iajs-2977	67	7	p.d.f	p.d.f	NOUN
iajs-2977	67	8	.	.	PUNCT
iajs-2977	68	1	by	by	ADP
iajs-2977	68	2	using	use	VERB
iajs-2977	68	3	the	the	DET
iajs-2977	68	4	binomial	binomial	ADJ
iajs-2977	68	5	theorem	theorem	NOUN
iajs-2977	68	6	and	and	CCONJ
iajs-2977	68	7	tyler	tyler	NOUN
iajs-2977	68	8	series	series	PROPN
iajs-2977	68	9	(	(	PUNCT
iajs-2977	68	10	𝑎	𝑎	PROPN
iajs-2977	68	11	∓	∓	NOUN
iajs-2977	68	12	𝑥)𝑛	𝑥)𝑛	PUNCT
iajs-2977	69	1	=	=	X
iajs-2977	69	2	∑	∑	PUNCT
iajs-2977	69	3	(	(	PUNCT
iajs-2977	69	4	𝑛	𝑛	PROPN
iajs-2977	69	5	𝑗	𝑗	NOUN
iajs-2977	69	6	)	)	PUNCT
iajs-2977	69	7	(	(	PUNCT
iajs-2977	69	8	∓𝑥)𝑗𝑎𝑛−𝑗	∓𝑥)𝑗𝑎𝑛−𝑗	NOUN
iajs-2977	69	9	𝑛	𝑛	X
iajs-2977	69	10	𝑗=0	𝑗=0	PUNCT
iajs-2977	70	1	[	[	X
iajs-2977	70	2	1	1	NUM
iajs-2977	70	3	−	−	NOUN
iajs-2977	70	4	𝑒	𝑒	PROPN
iajs-2977	70	5	−	−	PROPN
iajs-2977	70	6	1	1	NUM
iajs-2977	70	7	𝜆𝑡2	𝜆𝑡2	NOUN
iajs-2977	70	8	]	]	X
iajs-2977	71	1	𝜃−1	𝜃−1	PROPN
iajs-2977	71	2	=	=	PRON
iajs-2977	71	3	∑	∑	PROPN
iajs-2977	71	4	(	(	PUNCT
iajs-2977	71	5	𝜃−1	𝜃−1	PROPN
iajs-2977	71	6	𝑗	𝑗	INTJ
iajs-2977	71	7	)	)	PUNCT
iajs-2977	71	8	(	(	PUNCT
iajs-2977	71	9	−𝑒	−𝑒	NOUN
iajs-2977	71	10	−	−	PROPN
iajs-2977	71	11	1	1	NUM
iajs-2977	71	12	𝜆𝑡2)𝑗	𝜆𝑡2)𝑗	PROPN
iajs-2977	71	13	𝜃−1	𝜃−1	PRON
iajs-2977	71	14	𝑗=0	𝑗=0	PROPN
iajs-2977	71	15	thus	thus	ADV
iajs-2977	71	16	,	,	PUNCT
iajs-2977	71	17	𝑓𝑅𝑇𝐼𝐺𝑅𝐷(𝑡	𝑓𝑅𝑇𝐼𝐺𝑅𝐷(𝑡	NOUN
iajs-2977	71	18	)	)	PUNCT
iajs-2977	71	19	=	=	SYM
iajs-2977	71	20	∑	∑	PROPN
iajs-2977	71	21	(	(	PUNCT
iajs-2977	71	22	𝜃−1𝑗	𝜃−1𝑗	PROPN
iajs-2977	71	23	)	)	PUNCT
iajs-2977	71	24	(	(	PUNCT
iajs-2977	71	25	−1)𝑗	−1)𝑗	ADV
iajs-2977	71	26	𝜃−1	𝜃−1	PROPN
iajs-2977	71	27	𝑗=0	𝑗=0	PROPN
iajs-2977	71	28	𝑒	𝑒	NOUN
iajs-2977	71	29	−	−	PROPN
iajs-2977	71	30	𝑗	𝑗	INTJ
iajs-2977	71	31	𝜆𝑡2	𝜆𝑡2	NOUN
iajs-2977	71	32	2θ	2θ	NUM
iajs-2977	71	33	𝜆𝑡3	𝜆𝑡3	NOUN
iajs-2977	72	1	𝑒	𝑒	PROPN
iajs-2977	72	2	−	−	PROPN
iajs-2977	72	3	1	1	NUM
iajs-2977	72	4	𝜆𝑡2	𝜆𝑡2	NOUN
iajs-2977	72	5	1−[1−𝑒	1−[1−𝑒	NUM
iajs-2977	72	6	−	−	NOUN
iajs-2977	72	7	1	1	NUM
iajs-2977	72	8	𝜆	𝜆	NOUN
iajs-2977	72	9	]	]	X
iajs-2977	72	10	𝜃	𝜃	X
iajs-2977	72	11	𝑓𝑅𝑇𝐼𝐺𝑅𝐷(𝑡	𝑓𝑅𝑇𝐼𝐺𝑅𝐷(𝑡	NOUN
iajs-2977	72	12	)	)	PUNCT
iajs-2977	72	13	=	=	SYM
iajs-2977	72	14	∑	∑	PROPN
iajs-2977	72	15	(	(	PUNCT
iajs-2977	72	16	𝜃−1𝑗	𝜃−1𝑗	PROPN
iajs-2977	72	17	)	)	PUNCT
iajs-2977	72	18	(	(	PUNCT
iajs-2977	72	19	−1)𝑗	−1)𝑗	PUNCT
iajs-2977	72	20	𝜃−1	𝜃−1	PROPN
iajs-2977	72	21	𝑗=0	𝑗=0	PROPN
iajs-2977	72	22	2θ	2θ	NUM
iajs-2977	72	23	𝜆𝑡3	𝜆𝑡3	NOUN
iajs-2977	72	24	𝑒	𝑒	ADP
iajs-2977	72	25	−	−	PROPN
iajs-2977	72	26	𝑗+1	𝑗+1	NOUN
iajs-2977	72	27	𝜆𝑡2	𝜆𝑡2	NOUN
iajs-2977	72	28	1−[1−𝑒	1−[1−𝑒	NUM
iajs-2977	72	29	−	−	NOUN
iajs-2977	72	30	1	1	NUM
iajs-2977	72	31	𝜆	𝜆	NOUN
iajs-2977	72	32	]	]	X
iajs-2977	72	33	𝜃	𝜃	PRON
iajs-2977	72	34	let	let	VERB
iajs-2977	72	35	𝑒	𝑒	VERB
iajs-2977	72	36	−	−	VERB
iajs-2977	72	37	𝑗+1	𝑗+1	NOUN
iajs-2977	72	38	𝜆𝑡2	𝜆𝑡2	PUNCT
iajs-2977	73	1	=	=	NOUN
iajs-2977	73	2	∑	∑	PUNCT
iajs-2977	73	3	(	(	PUNCT
iajs-2977	73	4	−1)𝑘	−1)𝑘	X
iajs-2977	73	5	𝑘	𝑘	NOUN
iajs-2977	73	6	!	!	PUNCT
iajs-2977	74	1	∞	∞	NOUN
iajs-2977	74	2	𝑘=0	𝑘=0	PROPN
iajs-2977	74	3	(	(	PUNCT
iajs-2977	74	4	𝑗+1)𝑘	𝑗+1)𝑘	ADP
iajs-2977	74	5	(	(	PUNCT
iajs-2977	74	6	𝜆𝑡2)𝑘	𝜆𝑡2)𝑘	NOUN
iajs-2977	74	7	𝑓𝑅𝑇𝐼𝐺𝑅𝐷(𝑡	𝑓𝑅𝑇𝐼𝐺𝑅𝐷(𝑡	NOUN
iajs-2977	74	8	)	)	PUNCT
iajs-2977	74	9	=	=	SYM
iajs-2977	74	10	∑	∑	PROPN
iajs-2977	74	11	(	(	PUNCT
iajs-2977	74	12	𝜃−1𝑗	𝜃−1𝑗	PROPN
iajs-2977	74	13	)	)	PUNCT
iajs-2977	74	14	(	(	PUNCT
iajs-2977	74	15	−1)𝑗	−1)𝑗	PUNCT
iajs-2977	74	16	𝜃−1	𝜃−1	PROPN
iajs-2977	74	17	𝑗=0	𝑗=0	PROPN
iajs-2977	74	18	2θ	2θ	NUM
iajs-2977	74	19	𝜆𝑡3	𝜆𝑡3	NOUN
iajs-2977	74	20	∑	∑	PUNCT
iajs-2977	74	21	(	(	PUNCT
iajs-2977	74	22	−1)𝑘	−1)𝑘	X
iajs-2977	74	23	𝑘	𝑘	NOUN
iajs-2977	74	24	!	!	PUNCT
iajs-2977	75	1	∞	∞	NOUN
iajs-2977	75	2	𝑘=0	𝑘=0	PROPN
iajs-2977	75	3	(	(	PUNCT
iajs-2977	75	4	𝑗+1)𝑘	𝑗+1)𝑘	ADP
iajs-2977	75	5	(	(	PUNCT
iajs-2977	75	6	𝜆𝑡2)𝑘	𝜆𝑡2)𝑘	NOUN
iajs-2977	75	7	1−[1−𝑒	1−[1−𝑒	NUM
iajs-2977	75	8	−	−	NOUN
iajs-2977	75	9	1	1	NUM
iajs-2977	75	10	𝜆	𝜆	NOUN
iajs-2977	75	11	]	]	X
iajs-2977	75	12	𝜃	𝜃	NOUN
iajs-2977	75	13	=	=	SYM
iajs-2977	75	14	∑	∑	PUNCT
iajs-2977	75	15	∑	∑	PUNCT
iajs-2977	75	16	(	(	PUNCT
iajs-2977	75	17	−1)𝑘+𝑗	−1)𝑘+𝑗	NOUN
iajs-2977	75	18	𝑘	𝑘	X
iajs-2977	75	19	!	!	PUNCT
iajs-2977	75	20	(	(	PUNCT
iajs-2977	75	21	𝜃−1𝑗	𝜃−1𝑗	PROPN
iajs-2977	75	22	)	)	PUNCT
iajs-2977	76	1	𝜃−1	𝜃−1	PROPN
iajs-2977	76	2	𝑗=0	𝑗=0	X
iajs-2977	77	1	∞	∞	NUM
iajs-2977	77	2	𝑘=0	𝑘=0	PROPN
iajs-2977	77	3	(	(	PUNCT
iajs-2977	77	4	𝑗+1)𝑘	𝑗+1)𝑘	ADP
iajs-2977	77	5	(	(	PUNCT
iajs-2977	77	6	𝜆)𝑘	𝜆)𝑘	X
iajs-2977	77	7	𝑡2𝑘	𝑡2𝑘	PROPN
iajs-2977	77	8	2θ	2θ	NUM
iajs-2977	77	9	𝜆𝑡3	𝜆𝑡3	NOUN
iajs-2977	77	10	1−[1−𝑒	1−[1−𝑒	NUM
iajs-2977	77	11	−	−	NOUN
iajs-2977	77	12	1	1	NUM
iajs-2977	77	13	𝜆	𝜆	NOUN
iajs-2977	77	14	]	]	X
iajs-2977	77	15	𝜃	𝜃	NOUN
iajs-2977	77	16	=	=	SYM
iajs-2977	77	17	∑	∑	PUNCT
iajs-2977	77	18	∑	∑	PUNCT
iajs-2977	77	19	(	(	PUNCT
iajs-2977	77	20	−1)𝑘+𝑗	−1)𝑘+𝑗	NOUN
iajs-2977	77	21	𝑘	𝑘	X
iajs-2977	77	22	!	!	PUNCT
iajs-2977	77	23	(	(	PUNCT
iajs-2977	77	24	𝜃−1𝑗	𝜃−1𝑗	PROPN
iajs-2977	77	25	)	)	PUNCT
iajs-2977	78	1	𝜃−1	𝜃−1	PROPN
iajs-2977	78	2	𝑗=0	𝑗=0	X
iajs-2977	79	1	∞	∞	PROPN
iajs-2977	79	2	𝑘=0	𝑘=0	X
iajs-2977	79	3	2θ(𝑗+1)𝑘	2θ(𝑗+1)𝑘	NUM
iajs-2977	79	4	(	(	PUNCT
iajs-2977	79	5	𝜆)𝑘+1	𝜆)𝑘+1	NOUN
iajs-2977	79	6	𝑡2𝑘+3	𝑡2𝑘+3	NOUN
iajs-2977	79	7	1−[1−𝑒	1−[1−𝑒	NUM
iajs-2977	79	8	−	−	NOUN
iajs-2977	79	9	1	1	NUM
iajs-2977	79	10	𝜆	𝜆	NOUN
iajs-2977	79	11	]	]	X
iajs-2977	79	12	𝜃	𝜃	X
iajs-2977	79	13	𝑓𝑅𝑇𝐼𝐺𝑅𝐷(𝑡	𝑓𝑅𝑇𝐼𝐺𝑅𝐷(𝑡	NOUN
iajs-2977	79	14	)	)	PUNCT
iajs-2977	79	15	=	=	SYM
iajs-2977	79	16	∑	∑	PUNCT
iajs-2977	79	17	∑	∑	PUNCT
iajs-2977	79	18	(	(	PUNCT
iajs-2977	79	19	−1)𝑘+𝑗	−1)𝑘+𝑗	NOUN
iajs-2977	79	20	𝑘	𝑘	X
iajs-2977	79	21	!	!	PUNCT
iajs-2977	79	22	(	(	PUNCT
iajs-2977	79	23	𝜃−1𝑗	𝜃−1𝑗	PROPN
iajs-2977	79	24	)	)	PUNCT
iajs-2977	80	1	𝜃−1	𝜃−1	PROPN
iajs-2977	80	2	𝑗=0	𝑗=0	X
iajs-2977	81	1	∞	∞	PROPN
iajs-2977	81	2	𝑘=0	𝑘=0	X
iajs-2977	81	3	2θ(𝑗+1)𝑘	2θ(𝑗+1)𝑘	NUM
iajs-2977	81	4	(	(	PUNCT
iajs-2977	81	5	𝜆)𝑘+1	𝜆)𝑘+1	NOUN
iajs-2977	81	6	𝑡−2𝑘−3	𝑡−2𝑘−3	ADP
iajs-2977	81	7	1−[1−𝑒	1−[1−𝑒	NUM
iajs-2977	81	8	−	−	NOUN
iajs-2977	81	9	1	1	NUM
iajs-2977	81	10	𝜆	𝜆	NOUN
iajs-2977	81	11	]	]	X
iajs-2977	81	12	𝜃	𝜃	X
iajs-2977	81	13	,	,	PUNCT
iajs-2977	81	14	0	0	NUM
iajs-2977	81	15	≤	≤	NUM
iajs-2977	81	16	t	t	NOUN
iajs-2977	81	17	≤	≤	NUM
iajs-2977	81	18	1	1	NUM
iajs-2977	81	19	ihjpas	ihjpa	NOUN
iajs-2977	81	20	.	.	PUNCT
iajs-2977	82	1	36	36	NUM
iajs-2977	82	2	(	(	PUNCT
iajs-2977	82	3	4	4	NUM
iajs-2977	82	4	)	)	PUNCT
iajs-2977	82	5	2023	2023	NUM
iajs-2977	82	6	420	420	NUM
iajs-2977	82	7	3.1	3.1	NUM
iajs-2977	82	8	rth	rth	NOUN
iajs-2977	82	9	moment	moment	NOUN
iajs-2977	82	10	:	:	PUNCT
iajs-2977	82	11	the	the	DET
iajs-2977	82	12	rth	rth	NOUN
iajs-2977	82	13	moment	moment	NOUN
iajs-2977	82	14	can	can	AUX
iajs-2977	82	15	be	be	AUX
iajs-2977	82	16	derived	derive	VERB
iajs-2977	82	17	as	as	ADP
iajs-2977	82	18	follow	follow	NOUN
iajs-2977	82	19	:	:	PUNCT
iajs-2977	82	20	𝐸(𝑡𝑟	𝐸(𝑡𝑟	NOUN
iajs-2977	82	21	)	)	PUNCT
iajs-2977	82	22	=	=	SYM
iajs-2977	83	1	∫	∫	PROPN
iajs-2977	83	2	𝑡𝑟	𝑡𝑟	VERB
iajs-2977	83	3	1	1	NUM
iajs-2977	83	4	0	0	NUM
iajs-2977	84	1	𝑓𝑅𝑇𝐼𝐺𝑅𝐷(𝑡	𝑓𝑅𝑇𝐼𝐺𝑅𝐷(𝑡	AUX
iajs-2977	84	2	)	)	PUNCT
iajs-2977	84	3	𝑑𝑡	𝑑𝑡	ADP
iajs-2977	84	4	=	=	SYM
iajs-2977	84	5	∫	∫	PROPN
iajs-2977	84	6	𝑡𝑟	𝑡𝑟	PROPN
iajs-2977	84	7	∑	∑	ADP
iajs-2977	84	8	∑	∑	PROPN
iajs-2977	84	9	(	(	PUNCT
iajs-2977	84	10	−1)𝑘+𝑗	−1)𝑘+𝑗	NOUN
iajs-2977	84	11	𝑘	𝑘	X
iajs-2977	84	12	!	!	PUNCT
iajs-2977	85	1	(	(	PUNCT
iajs-2977	85	2	𝜃−1𝑗	𝜃−1𝑗	PROPN
iajs-2977	85	3	)	)	PUNCT
iajs-2977	86	1	𝜃−1	𝜃−1	PROPN
iajs-2977	86	2	𝑗=0	𝑗=0	X
iajs-2977	87	1	∞	∞	PROPN
iajs-2977	87	2	𝑘=0	𝑘=0	X
iajs-2977	87	3	2θ(𝑗+1)𝑘	2θ(𝑗+1)𝑘	NUM
iajs-2977	87	4	(	(	PUNCT
iajs-2977	87	5	𝜆)𝑘+1	𝜆)𝑘+1	NOUN
iajs-2977	87	6	𝑡−2𝑘−3	𝑡−2𝑘−3	ADP
iajs-2977	87	7	1−[1−𝑒	1−[1−𝑒	NUM
iajs-2977	87	8	−	−	NOUN
iajs-2977	87	9	1	1	NUM
iajs-2977	87	10	𝜆	𝜆	NOUN
iajs-2977	87	11	]	]	X
iajs-2977	87	12	𝜃	𝜃	PRON
iajs-2977	87	13	1	1	NUM
iajs-2977	87	14	0	0	NUM
iajs-2977	87	15	𝑑𝑡	𝑑𝑡	ADP
iajs-2977	87	16	=	=	SYM
iajs-2977	87	17	∑	∑	PROPN
iajs-2977	87	18	∑	∑	PUNCT
iajs-2977	87	19	(	(	PUNCT
iajs-2977	87	20	−1)𝑘+𝑗	−1)𝑘+𝑗	NOUN
iajs-2977	87	21	𝑘	𝑘	X
iajs-2977	87	22	!	!	PUNCT
iajs-2977	87	23	(	(	PUNCT
iajs-2977	87	24	𝜃−1𝑗	𝜃−1𝑗	PROPN
iajs-2977	87	25	)	)	PUNCT
iajs-2977	88	1	𝜃−1	𝜃−1	PROPN
iajs-2977	88	2	𝑗=0	𝑗=0	X
iajs-2977	89	1	∞	∞	PROPN
iajs-2977	89	2	𝑘=0	𝑘=0	X
iajs-2977	89	3	2θ(𝑗+1)𝑘	2θ(𝑗+1)𝑘	NUM
iajs-2977	89	4	(	(	PUNCT
iajs-2977	89	5	𝜆)𝑘+1	𝜆)𝑘+1	NOUN
iajs-2977	89	6	1−[1−𝑒	1−[1−𝑒	NUM
iajs-2977	89	7	−	−	NOUN
iajs-2977	89	8	1	1	NUM
iajs-2977	89	9	𝜆	𝜆	NOUN
iajs-2977	89	10	]	]	X
iajs-2977	89	11	𝜃	𝜃	NUM
iajs-2977	89	12	∫	∫	PROPN
iajs-2977	89	13	𝑡𝑟−2𝑘−3	𝑡𝑟−2𝑘−3	NOUN
iajs-2977	89	14	1	1	NUM
iajs-2977	89	15	0	0	NUM
iajs-2977	89	16	𝑑𝑡	𝑑𝑡	ADP
iajs-2977	89	17	=	=	SYM
iajs-2977	89	18	∑	∑	PROPN
iajs-2977	89	19	∑	∑	PUNCT
iajs-2977	89	20	(	(	PUNCT
iajs-2977	89	21	−1)𝑘+𝑗	−1)𝑘+𝑗	NOUN
iajs-2977	89	22	𝑘	𝑘	X
iajs-2977	89	23	!	!	PUNCT
iajs-2977	90	1	(	(	PUNCT
iajs-2977	90	2	𝜃−1𝑗	𝜃−1𝑗	PROPN
iajs-2977	90	3	)	)	PUNCT
iajs-2977	91	1	𝜃−1	𝜃−1	PROPN
iajs-2977	91	2	𝑗=0	𝑗=0	X
iajs-2977	92	1	∞	∞	PROPN
iajs-2977	92	2	𝑘=0	𝑘=0	X
iajs-2977	92	3	2θ(𝑗+1)𝑘	2θ(𝑗+1)𝑘	NUM
iajs-2977	92	4	(	(	PUNCT
iajs-2977	92	5	𝜆)𝑘+1	𝜆)𝑘+1	NOUN
iajs-2977	92	6	1−[1−𝑒	1−[1−𝑒	NUM
iajs-2977	92	7	−	−	NOUN
iajs-2977	92	8	1	1	NUM
iajs-2977	92	9	𝜆	𝜆	NOUN
iajs-2977	92	10	]	]	X
iajs-2977	92	11	𝜃	𝜃	ADJ
iajs-2977	92	12	𝑡𝑟−2𝑘−2	𝑡𝑟−2𝑘−2	PROPN
iajs-2977	92	13	𝑟−2𝑘−2	𝑟−2𝑘−2	ADP
iajs-2977	92	14	|0	|0	NUM
iajs-2977	92	15	1	1	NUM
iajs-2977	92	16	𝐸(𝑡𝑟	𝐸(𝑡𝑟	NOUN
iajs-2977	92	17	)	)	PUNCT
iajs-2977	92	18	=	=	PUNCT
iajs-2977	92	19	∑	∑	PUNCT
iajs-2977	92	20	∑	∑	INTJ
iajs-2977	92	21	(	(	PUNCT
iajs-2977	92	22	−1)𝑘+𝑗	−1)𝑘+𝑗	NOUN
iajs-2977	92	23	𝑘	𝑘	X
iajs-2977	92	24	!	!	PUNCT
iajs-2977	93	1	(	(	PUNCT
iajs-2977	93	2	𝜃−1𝑗	𝜃−1𝑗	PROPN
iajs-2977	93	3	)	)	PUNCT
iajs-2977	94	1	𝜃−1	𝜃−1	PROPN
iajs-2977	94	2	𝑗=0	𝑗=0	X
iajs-2977	95	1	∞	∞	PROPN
iajs-2977	95	2	𝑘=0	𝑘=0	X
iajs-2977	95	3	2θ(𝑗+1)𝑘	2θ(𝑗+1)𝑘	NUM
iajs-2977	95	4	(	(	PUNCT
iajs-2977	95	5	𝜆)𝑘+1	𝜆)𝑘+1	NOUN
iajs-2977	95	6	(	(	PUNCT
iajs-2977	95	7	𝑟−2𝑘−2	𝑟−2𝑘−2	NOUN
iajs-2977	95	8	)	)	PUNCT
iajs-2977	95	9	1−[1−𝑒	1−[1−𝑒	NUM
iajs-2977	95	10	−	−	NOUN
iajs-2977	95	11	1	1	NUM
iajs-2977	95	12	𝜆	𝜆	NOUN
iajs-2977	95	13	]	]	X
iajs-2977	95	14	𝜃	𝜃	NOUN
iajs-2977	95	15	when	when	SCONJ
iajs-2977	95	16	r	r	NOUN
iajs-2977	95	17	=	=	SYM
iajs-2977	95	18	1	1	NUM
iajs-2977	95	19	,	,	PUNCT
iajs-2977	95	20	the	the	DET
iajs-2977	95	21	mean	mean	NOUN
iajs-2977	95	22	of	of	ADP
iajs-2977	95	23	rtigrd	rtigrd	NOUN
iajs-2977	95	24	equal	equal	ADJ
iajs-2977	95	25	to	to	ADP
iajs-2977	95	26	𝜇	𝜇	X
iajs-2977	95	27	=	=	PUNCT
iajs-2977	95	28	𝐸(𝑡	𝐸(𝑡	PROPN
iajs-2977	95	29	)	)	PUNCT
iajs-2977	95	30	=	=	SYM
iajs-2977	95	31	∑	∑	PUNCT
iajs-2977	95	32	∑	∑	INTJ
iajs-2977	95	33	(	(	PUNCT
iajs-2977	95	34	−1)𝑘+𝑗	−1)𝑘+𝑗	NOUN
iajs-2977	95	35	𝑘	𝑘	X
iajs-2977	95	36	!	!	PUNCT
iajs-2977	96	1	(	(	PUNCT
iajs-2977	96	2	𝜃−1𝑗	𝜃−1𝑗	PROPN
iajs-2977	96	3	)	)	PUNCT
iajs-2977	97	1	𝜃−1	𝜃−1	PROPN
iajs-2977	97	2	𝑗=0	𝑗=0	X
iajs-2977	98	1	∞	∞	PROPN
iajs-2977	98	2	𝑘=0	𝑘=0	X
iajs-2977	98	3	2θ(𝑗+1)𝑘	2θ(𝑗+1)𝑘	NUM
iajs-2977	98	4	(	(	PUNCT
iajs-2977	98	5	𝜆)𝑘+1	𝜆)𝑘+1	NOUN
iajs-2977	98	6	(	(	PUNCT
iajs-2977	98	7	1−2𝑘−2	1−2𝑘−2	NUM
iajs-2977	98	8	)	)	PUNCT
iajs-2977	98	9	1−[1−𝑒	1−[1−𝑒	NUM
iajs-2977	98	10	−	−	NOUN
iajs-2977	98	11	1	1	NUM
iajs-2977	98	12	𝜆	𝜆	NOUN
iajs-2977	98	13	]	]	X
iajs-2977	98	14	𝜃	𝜃	X
iajs-2977	98	15	𝜇	𝜇	X
iajs-2977	98	16	=	=	PUNCT
iajs-2977	98	17	𝐸(𝑡	𝐸(𝑡	PROPN
iajs-2977	98	18	)	)	PUNCT
iajs-2977	98	19	=	=	SYM
iajs-2977	98	20	∑	∑	PUNCT
iajs-2977	98	21	∑	∑	INTJ
iajs-2977	98	22	(	(	PUNCT
iajs-2977	98	23	−1)𝑘+𝑗	−1)𝑘+𝑗	NOUN
iajs-2977	98	24	𝑘	𝑘	X
iajs-2977	98	25	!	!	PUNCT
iajs-2977	99	1	(	(	PUNCT
iajs-2977	99	2	𝜃−1𝑗	𝜃−1𝑗	PROPN
iajs-2977	99	3	)	)	PUNCT
iajs-2977	100	1	𝜃−1	𝜃−1	PROPN
iajs-2977	100	2	𝑗=0	𝑗=0	X
iajs-2977	101	1	∞	∞	PROPN
iajs-2977	101	2	𝑘=0	𝑘=0	X
iajs-2977	101	3	2θ(𝑗+1)𝑘	2θ(𝑗+1)𝑘	NUM
iajs-2977	101	4	(	(	PUNCT
iajs-2977	101	5	𝜆)𝑘+1	𝜆)𝑘+1	NOUN
iajs-2977	101	6	(	(	PUNCT
iajs-2977	101	7	−2𝑘−1	−2𝑘−1	PROPN
iajs-2977	101	8	)	)	PUNCT
iajs-2977	101	9	1−[1−𝑒	1−[1−𝑒	NUM
iajs-2977	101	10	−	−	NOUN
iajs-2977	101	11	1	1	NUM
iajs-2977	101	12	𝜆	𝜆	NOUN
iajs-2977	101	13	]	]	X
iajs-2977	101	14	𝜃	𝜃	NUM
iajs-2977	101	15	when	when	SCONJ
iajs-2977	101	16	r=2	r=2	PROPN
iajs-2977	101	17	,	,	PUNCT
iajs-2977	101	18	we	we	PRON
iajs-2977	101	19	will	will	AUX
iajs-2977	101	20	get	get	VERB
iajs-2977	101	21	𝐸(𝑡2	𝐸(𝑡2	NOUN
iajs-2977	101	22	)	)	PUNCT
iajs-2977	101	23	e(𝑡2	e(𝑡2	X
iajs-2977	101	24	)	)	PUNCT
iajs-2977	102	1	=	=	PUNCT
iajs-2977	102	2	∑	∑	PUNCT
iajs-2977	102	3	∑	∑	INTJ
iajs-2977	102	4	(	(	PUNCT
iajs-2977	102	5	−1)𝑘+𝑗	−1)𝑘+𝑗	NOUN
iajs-2977	102	6	𝑘	𝑘	X
iajs-2977	102	7	!	!	PUNCT
iajs-2977	102	8	(	(	PUNCT
iajs-2977	102	9	𝜃−1𝑗	𝜃−1𝑗	PROPN
iajs-2977	102	10	)	)	PUNCT
iajs-2977	103	1	𝜃−1	𝜃−1	PROPN
iajs-2977	103	2	𝑗=0	𝑗=0	X
iajs-2977	104	1	∞	∞	PROPN
iajs-2977	104	2	𝑘=0	𝑘=0	X
iajs-2977	104	3	2θ(𝑗+1)𝑘	2θ(𝑗+1)𝑘	NUM
iajs-2977	104	4	(	(	PUNCT
iajs-2977	104	5	𝜆)𝑘+1	𝜆)𝑘+1	NOUN
iajs-2977	104	6	(	(	PUNCT
iajs-2977	104	7	−2𝑘	−2𝑘	PROPN
iajs-2977	104	8	)	)	PUNCT
iajs-2977	104	9	1−[1−𝑒	1−[1−𝑒	NUM
iajs-2977	104	10	−	−	NOUN
iajs-2977	104	11	1	1	NUM
iajs-2977	104	12	𝜆	𝜆	NOUN
iajs-2977	104	13	]	]	X
iajs-2977	104	14	𝜃	𝜃	NUM
iajs-2977	104	15	ihjpas	ihjpa	NOUN
iajs-2977	104	16	.	.	PUNCT
iajs-2977	105	1	36	36	NUM
iajs-2977	105	2	(	(	PUNCT
iajs-2977	105	3	4	4	NUM
iajs-2977	105	4	)	)	PUNCT
iajs-2977	105	5	2023	2023	NUM
iajs-2977	105	6	421	421	NUM
iajs-2977	105	7	e(𝑡2	e(𝑡2	X
iajs-2977	105	8	)	)	PUNCT
iajs-2977	106	1	=	=	PUNCT
iajs-2977	106	2	∑	∑	PUNCT
iajs-2977	106	3	∑	∑	INTJ
iajs-2977	106	4	(	(	PUNCT
iajs-2977	106	5	−1)𝑘+𝑗	−1)𝑘+𝑗	NOUN
iajs-2977	106	6	𝑘	𝑘	X
iajs-2977	106	7	!	!	PUNCT
iajs-2977	107	1	(	(	PUNCT
iajs-2977	107	2	𝜃−1𝑗	𝜃−1𝑗	PROPN
iajs-2977	107	3	)	)	PUNCT
iajs-2977	108	1	𝜃−1	𝜃−1	PROPN
iajs-2977	108	2	𝑗=0	𝑗=0	X
iajs-2977	109	1	∞	∞	PROPN
iajs-2977	109	2	𝑘=0	𝑘=0	PROPN
iajs-2977	109	3	θ(𝑗+1)𝑘	θ(𝑗+1)𝑘	PROPN
iajs-2977	109	4	(	(	PUNCT
iajs-2977	109	5	𝜆)𝑘+1	𝜆)𝑘+1	NOUN
iajs-2977	109	6	(	(	PUNCT
iajs-2977	109	7	−𝑘	−𝑘	NOUN
iajs-2977	109	8	)	)	PUNCT
iajs-2977	109	9	1−[1−𝑒	1−[1−𝑒	NUM
iajs-2977	109	10	−	−	NOUN
iajs-2977	109	11	1	1	NUM
iajs-2977	109	12	𝜆	𝜆	NOUN
iajs-2977	109	13	]	]	X
iajs-2977	109	14	𝜃	𝜃	NUM
iajs-2977	109	15	when	when	SCONJ
iajs-2977	109	16	r=3	r=3	PROPN
iajs-2977	109	17	e(𝑡3	e(𝑡3	NOUN
iajs-2977	109	18	)	)	PUNCT
iajs-2977	109	19	=	=	PUNCT
iajs-2977	110	1	∑	∑	PUNCT
iajs-2977	110	2	∑	∑	INTJ
iajs-2977	110	3	(	(	PUNCT
iajs-2977	110	4	−1)𝑘+𝑗	−1)𝑘+𝑗	NOUN
iajs-2977	110	5	𝑘	𝑘	X
iajs-2977	110	6	!	!	PUNCT
iajs-2977	110	7	(	(	PUNCT
iajs-2977	110	8	𝜃−1𝑗	𝜃−1𝑗	PROPN
iajs-2977	110	9	)	)	PUNCT
iajs-2977	111	1	𝜃−1	𝜃−1	PROPN
iajs-2977	111	2	𝑗=0	𝑗=0	X
iajs-2977	112	1	∞	∞	PROPN
iajs-2977	112	2	𝑘=0	𝑘=0	PROPN
iajs-2977	112	3	θ(𝑗+1)𝑘	θ(𝑗+1)𝑘	PROPN
iajs-2977	112	4	(	(	PUNCT
iajs-2977	112	5	𝜆)𝑘+1	𝜆)𝑘+1	NOUN
iajs-2977	112	6	(	(	PUNCT
iajs-2977	112	7	1−2𝑘	1−2𝑘	NUM
iajs-2977	112	8	)	)	PUNCT
iajs-2977	112	9	1−[1−𝑒	1−[1−𝑒	NUM
iajs-2977	112	10	−	−	NOUN
iajs-2977	112	11	1	1	NUM
iajs-2977	112	12	𝜆	𝜆	NOUN
iajs-2977	112	13	]	]	X
iajs-2977	112	14	𝜃	𝜃	NUM
iajs-2977	112	15	when	when	SCONJ
iajs-2977	112	16	r=4	r=4	PROPN
iajs-2977	112	17	e(𝑡4	e(𝑡4	PROPN
iajs-2977	112	18	)	)	PUNCT
iajs-2977	112	19	=	=	PUNCT
iajs-2977	113	1	∑	∑	PUNCT
iajs-2977	113	2	∑	∑	INTJ
iajs-2977	113	3	(	(	PUNCT
iajs-2977	113	4	−1)𝑘+𝑗	−1)𝑘+𝑗	NOUN
iajs-2977	113	5	𝑘	𝑘	X
iajs-2977	113	6	!	!	PUNCT
iajs-2977	113	7	(	(	PUNCT
iajs-2977	113	8	𝜃−1𝑗	𝜃−1𝑗	PROPN
iajs-2977	113	9	)	)	PUNCT
iajs-2977	114	1	𝜃−1	𝜃−1	PROPN
iajs-2977	114	2	𝑗=0	𝑗=0	X
iajs-2977	115	1	∞	∞	PROPN
iajs-2977	115	2	𝑘=0	𝑘=0	PROPN
iajs-2977	115	3	θ(𝑗+1)𝑘	θ(𝑗+1)𝑘	PROPN
iajs-2977	115	4	(	(	PUNCT
iajs-2977	115	5	𝜆)𝑘+1	𝜆)𝑘+1	NOUN
iajs-2977	115	6	(	(	PUNCT
iajs-2977	115	7	2−2𝑘	2−2𝑘	NUM
iajs-2977	115	8	)	)	PUNCT
iajs-2977	115	9	1−[1−𝑒	1−[1−𝑒	NUM
iajs-2977	115	10	−	−	NOUN
iajs-2977	115	11	1	1	NUM
iajs-2977	115	12	𝜆	𝜆	NOUN
iajs-2977	115	13	]	]	X
iajs-2977	115	14	𝜃	𝜃	PRON
iajs-2977	115	15	3.2	3.2	NUM
iajs-2977	115	16	variance	variance	NOUN
iajs-2977	115	17	the	the	DET
iajs-2977	115	18	variance	variance	NOUN
iajs-2977	115	19	(	(	PUNCT
iajs-2977	115	20	𝑉𝑎𝑟	𝑉𝑎𝑟	NOUN
iajs-2977	115	21	)	)	PUNCT
iajs-2977	115	22	of	of	ADP
iajs-2977	115	23	rtigrd	rtigrd	NOUN
iajs-2977	115	24	can	can	AUX
iajs-2977	115	25	be	be	AUX
iajs-2977	115	26	found	find	VERB
iajs-2977	115	27	as	as	SCONJ
iajs-2977	115	28	follows	follow	VERB
iajs-2977	115	29	:	:	PUNCT
iajs-2977	115	30	𝜎2	𝜎2	NOUN
iajs-2977	115	31	=	=	SYM
iajs-2977	115	32	𝑉𝑎𝑟(𝑡	𝑉𝑎𝑟(𝑡	PROPN
iajs-2977	115	33	)	)	PUNCT
iajs-2977	115	34	=	=	SYM
iajs-2977	115	35	𝐸(𝑡2	𝐸(𝑡2	NOUN
iajs-2977	115	36	)	)	PUNCT
iajs-2977	115	37	−	−	PUNCT
iajs-2977	116	1	[	[	X
iajs-2977	116	2	𝐸(𝑡)]2	𝐸(𝑡)]2	PROPN
iajs-2977	116	3	𝑉𝑎𝑟(𝑡	𝑉𝑎𝑟(𝑡	NOUN
iajs-2977	116	4	)	)	PUNCT
iajs-2977	116	5	=	=	PUNCT
iajs-2977	117	1	∑	∑	PUNCT
iajs-2977	117	2	∑	∑	INTJ
iajs-2977	117	3	(	(	PUNCT
iajs-2977	117	4	−1)𝑘+𝑗	−1)𝑘+𝑗	NOUN
iajs-2977	117	5	𝑘	𝑘	X
iajs-2977	117	6	!	!	PUNCT
iajs-2977	118	1	(	(	PUNCT
iajs-2977	118	2	𝜃−1𝑗	𝜃−1𝑗	PROPN
iajs-2977	118	3	)	)	PUNCT
iajs-2977	119	1	𝜃−1	𝜃−1	PROPN
iajs-2977	119	2	𝑗=0	𝑗=0	X
iajs-2977	120	1	∞	∞	PROPN
iajs-2977	120	2	𝑘=0	𝑘=0	PROPN
iajs-2977	120	3	θ(𝑗+1)𝑘	θ(𝑗+1)𝑘	PROPN
iajs-2977	120	4	(	(	PUNCT
iajs-2977	120	5	𝜆)𝑘+1	𝜆)𝑘+1	NOUN
iajs-2977	120	6	(	(	PUNCT
iajs-2977	120	7	−𝑘	−𝑘	NOUN
iajs-2977	120	8	)	)	PUNCT
iajs-2977	120	9	1−[1−𝑒	1−[1−𝑒	NUM
iajs-2977	120	10	−	−	NOUN
iajs-2977	120	11	1	1	NUM
iajs-2977	120	12	𝜆	𝜆	NOUN
iajs-2977	120	13	]	]	X
iajs-2977	120	14	𝜃	𝜃	X
iajs-2977	120	15	−	−	NOUN
iajs-2977	120	16	[	[	PUNCT
iajs-2977	120	17	∑	∑	PUNCT
iajs-2977	120	18	∑	∑	INTJ
iajs-2977	120	19	(	(	PUNCT
iajs-2977	120	20	−1)𝑘+𝑗	−1)𝑘+𝑗	NOUN
iajs-2977	120	21	𝑘	𝑘	X
iajs-2977	120	22	!	!	PUNCT
iajs-2977	121	1	(	(	PUNCT
iajs-2977	121	2	𝜃−1𝑗	𝜃−1𝑗	PROPN
iajs-2977	121	3	)	)	PUNCT
iajs-2977	122	1	𝜃−1	𝜃−1	PROPN
iajs-2977	122	2	𝑗=0	𝑗=0	X
iajs-2977	123	1	∞	∞	PROPN
iajs-2977	123	2	𝑘=0	𝑘=0	X
iajs-2977	123	3	2θ(𝑗+1)𝑘	2θ(𝑗+1)𝑘	NUM
iajs-2977	123	4	(	(	PUNCT
iajs-2977	123	5	𝜆)𝑘+1	𝜆)𝑘+1	NOUN
iajs-2977	123	6	(	(	PUNCT
iajs-2977	123	7	−2𝑘−1	−2𝑘−1	PROPN
iajs-2977	123	8	)	)	PUNCT
iajs-2977	123	9	1−[1−𝑒	1−[1−𝑒	NUM
iajs-2977	123	10	−	−	NOUN
iajs-2977	123	11	1	1	NUM
iajs-2977	123	12	𝜆	𝜆	NOUN
iajs-2977	123	13	]	]	X
iajs-2977	123	14	𝜃	𝜃	X
iajs-2977	123	15	]	]	PUNCT
iajs-2977	123	16	2	2	NUM
iajs-2977	123	17	=	=	SYM
iajs-2977	124	1	[	[	X
iajs-2977	124	2	1−[1−𝑒	1−[1−𝑒	NUM
iajs-2977	124	3	−	−	NOUN
iajs-2977	124	4	1	1	NUM
iajs-2977	124	5	𝜆	𝜆	NOUN
iajs-2977	124	6	]	]	X
iajs-2977	124	7	𝜃	𝜃	X
iajs-2977	124	8	]	]	X
iajs-2977	124	9	∑	∑	PUNCT
iajs-2977	124	10	∑	∑	PUNCT
iajs-2977	124	11	(	(	PUNCT
iajs-2977	124	12	−1)𝑘+𝑗	−1)𝑘+𝑗	NOUN
iajs-2977	124	13	𝑘	𝑘	X
iajs-2977	124	14	!	!	PUNCT
iajs-2977	124	15	(	(	PUNCT
iajs-2977	124	16	𝜃−1𝑗	𝜃−1𝑗	PROPN
iajs-2977	124	17	)	)	PUNCT
iajs-2977	125	1	𝜃−1	𝜃−1	PROPN
iajs-2977	125	2	𝑗=0	𝑗=0	X
iajs-2977	126	1	∞	∞	PROPN
iajs-2977	126	2	𝑘=0	𝑘=0	PROPN
iajs-2977	126	3	θ(𝑗+1)𝑘	θ(𝑗+1)𝑘	PROPN
iajs-2977	126	4	(	(	PUNCT
iajs-2977	126	5	𝜆)𝑘+1	𝜆)𝑘+1	NOUN
iajs-2977	126	6	(	(	PUNCT
iajs-2977	126	7	−𝑘	−𝑘	NOUN
iajs-2977	126	8	)	)	PUNCT
iajs-2977	126	9	−[∑	−[∑	NOUN
iajs-2977	126	10	∑	∑	PUNCT
iajs-2977	126	11	(	(	PUNCT
iajs-2977	126	12	−1)𝑘+𝑗	−1)𝑘+𝑗	NOUN
iajs-2977	126	13	𝑘	𝑘	X
iajs-2977	126	14	!	!	PUNCT
iajs-2977	127	1	(	(	PUNCT
iajs-2977	127	2	𝜃−1𝑗	𝜃−1𝑗	PROPN
iajs-2977	127	3	)	)	PUNCT
iajs-2977	128	1	𝜃−1	𝜃−1	PROPN
iajs-2977	128	2	𝑗=0	𝑗=0	X
iajs-2977	129	1	∞	∞	PROPN
iajs-2977	129	2	𝑘=0	𝑘=0	X
iajs-2977	129	3	2θ(𝑗+1)𝑘	2θ(𝑗+1)𝑘	NUM
iajs-2977	129	4	(	(	PUNCT
iajs-2977	129	5	𝜆)𝑘+1	𝜆)𝑘+1	NOUN
iajs-2977	129	6	(	(	PUNCT
iajs-2977	129	7	−2𝑘−1	−2𝑘−1	PROPN
iajs-2977	129	8	)	)	PUNCT
iajs-2977	129	9	]	]	PUNCT
iajs-2977	130	1	2	2	NUM
iajs-2977	130	2	[	[	X
iajs-2977	130	3	1−[1−𝑒	1−[1−𝑒	NUM
iajs-2977	130	4	−	−	NOUN
iajs-2977	130	5	1	1	NUM
iajs-2977	130	6	𝜆	𝜆	NOUN
iajs-2977	130	7	]	]	X
iajs-2977	130	8	𝜃	𝜃	X
iajs-2977	130	9	]	]	PUNCT
iajs-2977	130	10	2	2	NUM
iajs-2977	130	11	ihjpas	ihjpa	NOUN
iajs-2977	130	12	.	.	PUNCT
iajs-2977	131	1	36	36	NUM
iajs-2977	131	2	(	(	PUNCT
iajs-2977	131	3	4	4	NUM
iajs-2977	131	4	)	)	PUNCT
iajs-2977	131	5	2023	2023	NUM
iajs-2977	131	6	422	422	NUM
iajs-2977	131	7	=	=	SYM
iajs-2977	131	8	∑	∑	PUNCT
iajs-2977	131	9	∑	∑	INTJ
iajs-2977	131	10	(	(	PUNCT
iajs-2977	131	11	−1)𝑘+𝑗	−1)𝑘+𝑗	NOUN
iajs-2977	131	12	𝑘	𝑘	X
iajs-2977	131	13	!	!	PUNCT
iajs-2977	132	1	(	(	PUNCT
iajs-2977	132	2	𝜃−1𝑗	𝜃−1𝑗	PROPN
iajs-2977	132	3	)	)	PUNCT
iajs-2977	133	1	𝜃−1	𝜃−1	PROPN
iajs-2977	133	2	𝑗=0	𝑗=0	X
iajs-2977	134	1	∞	∞	PROPN
iajs-2977	134	2	𝑘=0	𝑘=0	X
iajs-2977	134	3	2θ(𝑗+1)𝑘	2θ(𝑗+1)𝑘	NUM
iajs-2977	134	4	(	(	PUNCT
iajs-2977	134	5	𝜆)𝑘+1	𝜆)𝑘+1	NOUN
iajs-2977	134	6	[	[	PUNCT
iajs-2977	134	7	1	1	NUM
iajs-2977	134	8	(	(	PUNCT
iajs-2977	134	9	−2𝑘	−2𝑘	PROPN
iajs-2977	134	10	)	)	PUNCT
iajs-2977	135	1	[	[	X
iajs-2977	135	2	1−[1−𝑒	1−[1−𝑒	NUM
iajs-2977	135	3	−	−	NOUN
iajs-2977	135	4	1	1	NUM
iajs-2977	135	5	𝜆	𝜆	NOUN
iajs-2977	135	6	]	]	X
iajs-2977	135	7	𝜃	𝜃	X
iajs-2977	135	8	]	]	PUNCT
iajs-2977	135	9	−∑	−∑	PROPN
iajs-2977	135	10	∑	∑	INTJ
iajs-2977	135	11	(	(	PUNCT
iajs-2977	135	12	−1)𝑘+𝑗	−1)𝑘+𝑗	NOUN
iajs-2977	135	13	𝑘	𝑘	X
iajs-2977	135	14	!	!	PUNCT
iajs-2977	135	15	(	(	PUNCT
iajs-2977	135	16	𝜃−1𝑗	𝜃−1𝑗	PROPN
iajs-2977	135	17	)	)	PUNCT
iajs-2977	136	1	𝜃−1	𝜃−1	PROPN
iajs-2977	136	2	𝑗=0	𝑗=0	X
iajs-2977	137	1	∞	∞	PROPN
iajs-2977	137	2	𝑘=0	𝑘=0	X
iajs-2977	137	3	2θ(𝑗+1)𝑘	2θ(𝑗+1)𝑘	NUM
iajs-2977	137	4	(	(	PUNCT
iajs-2977	137	5	𝜆)𝑘+1	𝜆)𝑘+1	NOUN
iajs-2977	137	6	(	(	PUNCT
iajs-2977	137	7	−2𝑘−1	−2𝑘−1	PROPN
iajs-2977	137	8	)	)	PUNCT
iajs-2977	137	9	]	]	PUNCT
iajs-2977	138	1	[	[	X
iajs-2977	138	2	1−[1−𝑒	1−[1−𝑒	NUM
iajs-2977	138	3	−	−	NOUN
iajs-2977	138	4	1	1	NUM
iajs-2977	138	5	𝜆	𝜆	NOUN
iajs-2977	138	6	]	]	X
iajs-2977	138	7	𝜃	𝜃	X
iajs-2977	138	8	]	]	SYM
iajs-2977	138	9	2	2	NUM
iajs-2977	138	10	3.3	3.3	NUM
iajs-2977	138	11	moment	moment	NOUN
iajs-2977	138	12	generating	generate	VERB
iajs-2977	138	13	function	function	NOUN
iajs-2977	138	14	the	the	DET
iajs-2977	138	15	moment	moment	NOUN
iajs-2977	138	16	generating	generate	VERB
iajs-2977	138	17	function	function	NOUN
iajs-2977	138	18	of	of	ADP
iajs-2977	138	19	rtigrd	rtigrd	NOUN
iajs-2977	138	20	can	can	AUX
iajs-2977	138	21	be	be	AUX
iajs-2977	138	22	derived	derive	VERB
iajs-2977	138	23	as	as	ADP
iajs-2977	138	24	follow	follow	NOUN
iajs-2977	138	25	:	:	PUNCT
iajs-2977	138	26	ℳ𝑡(ŧ	ℳ𝑡(ŧ	X
iajs-2977	138	27	)	)	PUNCT
iajs-2977	138	28	=	=	SYM
iajs-2977	138	29	𝐸(𝑒ŧ𝑡	𝐸(𝑒ŧ𝑡	PROPN
iajs-2977	138	30	)	)	PUNCT
iajs-2977	139	1	=	=	SYM
iajs-2977	140	1	∫	∫	PROPN
iajs-2977	141	1	𝑒ŧ𝑡	𝑒ŧ𝑡	INTJ
iajs-2977	142	1	1	1	NUM
iajs-2977	142	2	0	0	NUM
iajs-2977	142	3	𝑓𝑅𝑇𝐼𝐺𝑅𝐷(𝑡	𝑓𝑅𝑇𝐼𝐺𝑅𝐷(𝑡	NOUN
iajs-2977	142	4	)	)	PUNCT
iajs-2977	142	5	𝑑𝑡	𝑑𝑡	ADP
iajs-2977	142	6	ℳ𝑡(ŧ	ℳ𝑡(ŧ	PROPN
iajs-2977	142	7	)	)	PUNCT
iajs-2977	143	1	=	=	SYM
iajs-2977	143	2	∫	∫	PROPN
iajs-2977	143	3	𝑒ŧ𝑡	𝑒ŧ𝑡	INTJ
iajs-2977	143	4	∑	∑	PROPN
iajs-2977	143	5	∑	∑	PUNCT
iajs-2977	143	6	(	(	PUNCT
iajs-2977	143	7	−1)𝑘+𝑗	−1)𝑘+𝑗	NOUN
iajs-2977	143	8	𝑘	𝑘	X
iajs-2977	143	9	!	!	PUNCT
iajs-2977	144	1	(	(	PUNCT
iajs-2977	144	2	𝜃−1𝑗	𝜃−1𝑗	PROPN
iajs-2977	144	3	)	)	PUNCT
iajs-2977	145	1	𝜃−1	𝜃−1	PROPN
iajs-2977	145	2	𝑗=0	𝑗=0	X
iajs-2977	146	1	∞	∞	PROPN
iajs-2977	146	2	𝑘=0	𝑘=0	X
iajs-2977	146	3	2θ(𝑗+1)𝑘	2θ(𝑗+1)𝑘	NUM
iajs-2977	146	4	(	(	PUNCT
iajs-2977	146	5	𝜆)𝑘+1	𝜆)𝑘+1	NOUN
iajs-2977	146	6	𝑡−2𝑘−3	𝑡−2𝑘−3	ADP
iajs-2977	146	7	1−[1−𝑒	1−[1−𝑒	NUM
iajs-2977	146	8	−	−	NOUN
iajs-2977	146	9	1	1	NUM
iajs-2977	146	10	𝜆	𝜆	NOUN
iajs-2977	146	11	]	]	X
iajs-2977	146	12	𝜃	𝜃	PRON
iajs-2977	146	13	1	1	NUM
iajs-2977	146	14	0	0	NUM
iajs-2977	146	15	𝑑𝑡	𝑑𝑡	ADP
iajs-2977	146	16	=	=	SYM
iajs-2977	146	17	∑	∑	PROPN
iajs-2977	146	18	∑	∑	PUNCT
iajs-2977	146	19	(	(	PUNCT
iajs-2977	146	20	−1)𝑘+𝑗	−1)𝑘+𝑗	NOUN
iajs-2977	146	21	𝑘	𝑘	X
iajs-2977	146	22	!	!	PUNCT
iajs-2977	146	23	(	(	PUNCT
iajs-2977	146	24	𝜃−1𝑗	𝜃−1𝑗	PROPN
iajs-2977	146	25	)	)	PUNCT
iajs-2977	147	1	𝜃−1	𝜃−1	PROPN
iajs-2977	147	2	𝑗=0	𝑗=0	X
iajs-2977	148	1	∞	∞	PROPN
iajs-2977	148	2	𝑘=0	𝑘=0	X
iajs-2977	148	3	2θ(𝑗+1)𝑘	2θ(𝑗+1)𝑘	NUM
iajs-2977	148	4	(	(	PUNCT
iajs-2977	148	5	𝜆)𝑘+1	𝜆)𝑘+1	NOUN
iajs-2977	148	6	1−[1−𝑒	1−[1−𝑒	NUM
iajs-2977	148	7	−	−	NOUN
iajs-2977	148	8	1	1	NUM
iajs-2977	148	9	𝜆	𝜆	NOUN
iajs-2977	148	10	]	]	X
iajs-2977	148	11	𝜃	𝜃	NUM
iajs-2977	148	12	∫	∫	PROPN
iajs-2977	148	13	𝑒ŧ𝑡	𝑒ŧ𝑡	INTJ
iajs-2977	148	14	𝑡−2𝑘−3	𝑡−2𝑘−3	ADP
iajs-2977	148	15	1	1	NUM
iajs-2977	148	16	0	0	NUM
iajs-2977	148	17	𝑑𝑡	𝑑𝑡	ADP
iajs-2977	148	18	use	use	NOUN
iajs-2977	148	19	,	,	PUNCT
iajs-2977	148	20	𝑒ŧ𝑡	𝑒ŧ𝑡	X
iajs-2977	148	21	=	=	PUNCT
iajs-2977	148	22	∑	∑	PUNCT
iajs-2977	148	23	(	(	PUNCT
iajs-2977	148	24	ŧ𝑡)𝑛	ŧ𝑡)𝑛	PROPN
iajs-2977	148	25	𝑛	𝑛	PROPN
iajs-2977	148	26	!	!	PUNCT
iajs-2977	148	27	∞	∞	NUM
iajs-2977	149	1	𝑛=0	𝑛=0	PROPN
iajs-2977	149	2	=	=	PUNCT
iajs-2977	149	3	∑	∑	PUNCT
iajs-2977	149	4	∑	∑	PUNCT
iajs-2977	149	5	(	(	PUNCT
iajs-2977	149	6	−1)𝑘+𝑗	−1)𝑘+𝑗	NOUN
iajs-2977	149	7	𝑘	𝑘	X
iajs-2977	149	8	!	!	PUNCT
iajs-2977	150	1	(	(	PUNCT
iajs-2977	150	2	𝜃−1𝑗	𝜃−1𝑗	PROPN
iajs-2977	150	3	)	)	PUNCT
iajs-2977	151	1	𝜃−1	𝜃−1	PROPN
iajs-2977	151	2	𝑗=0	𝑗=0	X
iajs-2977	152	1	∞	∞	PROPN
iajs-2977	152	2	𝑘=0	𝑘=0	X
iajs-2977	152	3	2θ(𝑗+1)𝑘	2θ(𝑗+1)𝑘	NUM
iajs-2977	152	4	(	(	PUNCT
iajs-2977	152	5	𝜆)𝑘+1	𝜆)𝑘+1	NOUN
iajs-2977	152	6	1−[1−𝑒	1−[1−𝑒	NUM
iajs-2977	152	7	−	−	NOUN
iajs-2977	152	8	1	1	NUM
iajs-2977	152	9	𝜆	𝜆	NOUN
iajs-2977	152	10	]	]	X
iajs-2977	152	11	𝜃	𝜃	X
iajs-2977	152	12	∫	∫	PROPN
iajs-2977	152	13	∑	∑	PROPN
iajs-2977	152	14	(	(	PUNCT
iajs-2977	152	15	ŧ𝑡)𝑛	ŧ𝑡)𝑛	PROPN
iajs-2977	152	16	𝑛	𝑛	PROPN
iajs-2977	152	17	!	!	NOUN
iajs-2977	152	18	∞	∞	NUM
iajs-2977	153	1	𝑛=0	𝑛=0	PROPN
iajs-2977	153	2	𝑡−2𝑘−3	𝑡−2𝑘−3	ADP
iajs-2977	153	3	𝑑𝑡	𝑑𝑡	ADP
iajs-2977	153	4	1	1	NUM
iajs-2977	153	5	0	0	NUM
iajs-2977	153	6	=	=	SYM
iajs-2977	153	7	∑	∑	PROPN
iajs-2977	153	8	∑	∑	PROPN
iajs-2977	153	9	∑	∑	INTJ
iajs-2977	153	10	(	(	PUNCT
iajs-2977	153	11	−1)𝑘+𝑗	−1)𝑘+𝑗	X
iajs-2977	153	12	(	(	PUNCT
iajs-2977	153	13	ŧ)𝑛	ŧ)𝑛	NOUN
iajs-2977	153	14	𝑘	𝑘	NOUN
iajs-2977	153	15	!	!	NOUN
iajs-2977	153	16	𝑛	𝑛	X
iajs-2977	153	17	!	!	PUNCT
iajs-2977	153	18	(	(	PUNCT
iajs-2977	153	19	𝜃−1𝑗	𝜃−1𝑗	PROPN
iajs-2977	153	20	)	)	PUNCT
iajs-2977	153	21	2θ(𝑗+1)𝑘	2θ(𝑗+1)𝑘	NUM
iajs-2977	153	22	(	(	PUNCT
iajs-2977	153	23	𝜆)𝑘+1	𝜆)𝑘+1	NOUN
iajs-2977	153	24	𝜃−1	𝜃−1	PRON
iajs-2977	154	1	𝑗=0	𝑗=0	X
iajs-2977	154	2	∞	∞	PROPN
iajs-2977	154	3	𝑘=0	𝑘=0	PROPN
iajs-2977	154	4	∞	∞	PROPN
iajs-2977	154	5	𝑛=0	𝑛=0	NOUN
iajs-2977	154	6	1−[1−𝑒	1−[1−𝑒	NUM
iajs-2977	154	7	−	−	NOUN
iajs-2977	154	8	1	1	NUM
iajs-2977	154	9	𝜆	𝜆	NOUN
iajs-2977	154	10	]	]	X
iajs-2977	154	11	𝜃	𝜃	NUM
iajs-2977	154	12	∫	∫	PROPN
iajs-2977	154	13	𝑡𝑛−2𝑘−3	𝑡𝑛−2𝑘−3	NOUN
iajs-2977	154	14	1	1	NUM
iajs-2977	154	15	0	0	NUM
iajs-2977	154	16	𝑑𝑡	𝑑𝑡	ADP
iajs-2977	154	17	=	=	SYM
iajs-2977	154	18	∑	∑	PROPN
iajs-2977	154	19	∑	∑	PROPN
iajs-2977	154	20	∑	∑	INTJ
iajs-2977	154	21	(	(	PUNCT
iajs-2977	154	22	−1)𝑘+𝑗	−1)𝑘+𝑗	X
iajs-2977	154	23	(	(	PUNCT
iajs-2977	154	24	ŧ)𝑛	ŧ)𝑛	NOUN
iajs-2977	154	25	𝑘	𝑘	NOUN
iajs-2977	154	26	!	!	NOUN
iajs-2977	154	27	𝑛	𝑛	X
iajs-2977	154	28	!	!	PUNCT
iajs-2977	154	29	(	(	PUNCT
iajs-2977	154	30	𝜃−1𝑗	𝜃−1𝑗	PROPN
iajs-2977	154	31	)	)	PUNCT
iajs-2977	154	32	2θ(𝑗+1)𝑘	2θ(𝑗+1)𝑘	NUM
iajs-2977	154	33	(	(	PUNCT
iajs-2977	154	34	𝜆)𝑘+1	𝜆)𝑘+1	NOUN
iajs-2977	154	35	𝜃−1	𝜃−1	PRON
iajs-2977	155	1	𝑗=0	𝑗=0	X
iajs-2977	155	2	∞	∞	PROPN
iajs-2977	155	3	𝑘=0	𝑘=0	PROPN
iajs-2977	155	4	∞	∞	PROPN
iajs-2977	155	5	𝑛=0	𝑛=0	NOUN
iajs-2977	155	6	1−[1−𝑒	1−[1−𝑒	NUM
iajs-2977	155	7	−	−	NOUN
iajs-2977	155	8	1	1	NUM
iajs-2977	155	9	𝜆	𝜆	NOUN
iajs-2977	155	10	]	]	X
iajs-2977	155	11	𝜃	𝜃	X
iajs-2977	155	12	𝑡𝑛−2𝑘−2	𝑡𝑛−2𝑘−2	NOUN
iajs-2977	155	13	𝑛−2𝑘−2	𝑛−2𝑘−2	PROPN
iajs-2977	155	14	|0	|0	X
iajs-2977	155	15	1	1	NUM
iajs-2977	155	16	ℳ𝑡(ŧ	ℳ𝑡(ŧ	NOUN
iajs-2977	155	17	)	)	PUNCT
iajs-2977	156	1	=	=	PUNCT
iajs-2977	156	2	∑	∑	PUNCT
iajs-2977	156	3	∑	∑	PUNCT
iajs-2977	156	4	∑	∑	INTJ
iajs-2977	156	5	(	(	PUNCT
iajs-2977	156	6	−1)𝑘+𝑗	−1)𝑘+𝑗	X
iajs-2977	156	7	(	(	PUNCT
iajs-2977	156	8	ŧ)𝑛	ŧ)𝑛	NOUN
iajs-2977	156	9	𝑘	𝑘	NOUN
iajs-2977	156	10	!	!	NOUN
iajs-2977	156	11	𝑛	𝑛	X
iajs-2977	156	12	!	!	PUNCT
iajs-2977	156	13	(	(	PUNCT
iajs-2977	156	14	𝜃−1𝑗	𝜃−1𝑗	PROPN
iajs-2977	156	15	)	)	PUNCT
iajs-2977	156	16	2θ(𝑗+1)𝑘	2θ(𝑗+1)𝑘	NUM
iajs-2977	156	17	(	(	PUNCT
iajs-2977	156	18	𝜆)𝑘+1	𝜆)𝑘+1	NOUN
iajs-2977	156	19	(	(	PUNCT
iajs-2977	156	20	𝑛−2𝑘−2	𝑛−2𝑘−2	NOUN
iajs-2977	156	21	)	)	PUNCT
iajs-2977	156	22	𝜃−1	𝜃−1	PROPN
iajs-2977	157	1	𝑗=0	𝑗=0	PROPN
iajs-2977	157	2	∞	∞	PROPN
iajs-2977	157	3	𝑘=0	𝑘=0	PROPN
iajs-2977	157	4	∞	∞	PROPN
iajs-2977	157	5	𝑛=0	𝑛=0	NOUN
iajs-2977	157	6	1−[1−𝑒	1−[1−𝑒	NUM
iajs-2977	157	7	−	−	NOUN
iajs-2977	157	8	1	1	NUM
iajs-2977	157	9	𝜆	𝜆	NOUN
iajs-2977	157	10	]	]	X
iajs-2977	157	11	𝜃	𝜃	NUM
iajs-2977	157	12	ihjpas	ihjpa	NOUN
iajs-2977	157	13	.	.	PUNCT
iajs-2977	158	1	36	36	NUM
iajs-2977	158	2	(	(	PUNCT
iajs-2977	158	3	4	4	NUM
iajs-2977	158	4	)	)	PUNCT
iajs-2977	158	5	2023	2023	NUM
iajs-2977	158	6	423	423	NUM
iajs-2977	158	7	3.4	3.4	NUM
iajs-2977	158	8	kurtosis	kurtosis	NOUN
iajs-2977	158	9	the	the	DET
iajs-2977	158	10	kurtosis	kurtosis	NOUN
iajs-2977	158	11	of	of	ADP
iajs-2977	158	12	rtigrd	rtigrd	NOUN
iajs-2977	158	13	can	can	AUX
iajs-2977	158	14	be	be	AUX
iajs-2977	158	15	found	find	VERB
iajs-2977	158	16	as	as	SCONJ
iajs-2977	158	17	follows	follow	VERB
iajs-2977	158	18	:	:	PUNCT
iajs-2977	158	19	kurtosis	kurtosis	NOUN
iajs-2977	158	20	of	of	ADP
iajs-2977	158	21	rtigrd	rtigrd	NOUN
iajs-2977	158	22	can	can	AUX
iajs-2977	158	23	be	be	AUX
iajs-2977	158	24	found	find	VERB
iajs-2977	158	25	as	as	SCONJ
iajs-2977	158	26	follows	follow	VERB
iajs-2977	158	27	:	:	PUNCT
iajs-2977	158	28	𝑘𝑟	𝑘𝑟	PROPN
iajs-2977	158	29	=	=	SYM
iajs-2977	158	30	𝜇3	𝜇3	PROPN
iajs-2977	158	31	(	(	PUNCT
iajs-2977	158	32	𝜇2)2	𝜇2)2	PROPN
iajs-2977	158	33	−	−	PROPN
iajs-2977	158	34	3	3	NUM
iajs-2977	158	35	=	=	SYM
iajs-2977	158	36	𝐸(𝑡4)−4𝜇𝐸(𝑡3)+6𝜇2𝐸(𝑡2)−3𝜇4	𝐸(𝑡4)−4𝜇𝐸(𝑡3)+6𝜇2𝐸(𝑡2)−3𝜇4	NOUN
iajs-2977	158	37	(	(	PUNCT
iajs-2977	158	38	𝜎2)2	𝜎2)2	NUM
iajs-2977	158	39	−	−	NUM
iajs-2977	158	40	3	3	NUM
iajs-2977	158	41	kr	kr	PROPN
iajs-2977	158	42	=	=	SYM
iajs-2977	158	43	{	{	PUNCT
iajs-2977	158	44	∑	∑	PROPN
iajs-2977	158	45	∑	∑	INTJ
iajs-2977	158	46	(	(	PUNCT
iajs-2977	158	47	−1)𝑘+𝑗	−1)𝑘+𝑗	NOUN
iajs-2977	158	48	𝑘	𝑘	X
iajs-2977	158	49	!	!	PUNCT
iajs-2977	158	50	(	(	PUNCT
iajs-2977	158	51	𝜃−1𝑗	𝜃−1𝑗	PROPN
iajs-2977	158	52	)	)	PUNCT
iajs-2977	159	1	𝜃−1	𝜃−1	PROPN
iajs-2977	159	2	𝑗=0	𝑗=0	X
iajs-2977	160	1	∞	∞	PROPN
iajs-2977	160	2	𝑘=0	𝑘=0	PROPN
iajs-2977	160	3	θ(𝑗+1)𝑘	θ(𝑗+1)𝑘	PROPN
iajs-2977	160	4	(	(	PUNCT
iajs-2977	160	5	𝜆)𝑘+1	𝜆)𝑘+1	NOUN
iajs-2977	160	6	(	(	PUNCT
iajs-2977	160	7	2−2𝑘	2−2𝑘	NUM
iajs-2977	160	8	)	)	PUNCT
iajs-2977	160	9	1−[1−𝑒	1−[1−𝑒	NUM
iajs-2977	160	10	−	−	NOUN
iajs-2977	160	11	1	1	NUM
iajs-2977	160	12	𝜆	𝜆	NOUN
iajs-2977	160	13	]	]	X
iajs-2977	160	14	𝜃	𝜃	NOUN
iajs-2977	160	15	}	}	PUNCT
iajs-2977	160	16	−4	−4	PROPN
iajs-2977	160	17	{	{	PUNCT
iajs-2977	160	18	∑	∑	PROPN
iajs-2977	160	19	∑	∑	INTJ
iajs-2977	160	20	(	(	PUNCT
iajs-2977	160	21	−1)𝑘+𝑗	−1)𝑘+𝑗	NOUN
iajs-2977	160	22	𝑘	𝑘	X
iajs-2977	160	23	!	!	PUNCT
iajs-2977	160	24	(	(	PUNCT
iajs-2977	160	25	𝜃−1𝑗	𝜃−1𝑗	PROPN
iajs-2977	160	26	)	)	PUNCT
iajs-2977	161	1	𝜃−1	𝜃−1	PROPN
iajs-2977	161	2	𝑗=0	𝑗=0	X
iajs-2977	162	1	∞	∞	PROPN
iajs-2977	162	2	𝑘=0	𝑘=0	X
iajs-2977	162	3	2θ(𝑗+1)𝑘	2θ(𝑗+1)𝑘	NUM
iajs-2977	162	4	(	(	PUNCT
iajs-2977	162	5	𝜆)𝑘+1	𝜆)𝑘+1	NOUN
iajs-2977	162	6	(	(	PUNCT
iajs-2977	162	7	−2𝑘−1	−2𝑘−1	PROPN
iajs-2977	162	8	)	)	PUNCT
iajs-2977	162	9	1−[1−𝑒	1−[1−𝑒	NUM
iajs-2977	162	10	−	−	NOUN
iajs-2977	162	11	1	1	NUM
iajs-2977	162	12	𝜆	𝜆	NOUN
iajs-2977	162	13	]	]	X
iajs-2977	162	14	𝜃	𝜃	NOUN
iajs-2977	162	15	}	}	PUNCT
iajs-2977	162	16	{	{	PUNCT
iajs-2977	162	17	∑	∑	PROPN
iajs-2977	162	18	∑	∑	INTJ
iajs-2977	162	19	(	(	PUNCT
iajs-2977	162	20	−1)𝑘+𝑗	−1)𝑘+𝑗	NOUN
iajs-2977	162	21	𝑘	𝑘	X
iajs-2977	162	22	!	!	PUNCT
iajs-2977	163	1	(	(	PUNCT
iajs-2977	163	2	𝜃−1	𝜃−1	NOUN
iajs-2977	163	3	𝑗	𝑗	X
iajs-2977	163	4	)	)	PUNCT
iajs-2977	163	5	𝜃−1	𝜃−1	PROPN
iajs-2977	164	1	𝑗=0	𝑗=0	X
iajs-2977	164	2	∞	∞	PROPN
iajs-2977	164	3	𝑘=0	𝑘=0	PROPN
iajs-2977	165	1	θ(𝑗+1)𝑘	θ(𝑗+1)𝑘	PROPN
iajs-2977	165	2	(	(	PUNCT
iajs-2977	165	3	𝜆)𝑘+1	𝜆)𝑘+1	NOUN
iajs-2977	165	4	(	(	PUNCT
iajs-2977	165	5	1−2𝑘	1−2𝑘	NUM
iajs-2977	165	6	)	)	PUNCT
iajs-2977	165	7	1−[1−𝑒	1−[1−𝑒	NUM
iajs-2977	165	8	−	−	NOUN
iajs-2977	165	9	1	1	NUM
iajs-2977	165	10	𝜆	𝜆	NOUN
iajs-2977	165	11	]	]	X
iajs-2977	165	12	𝜃	𝜃	NOUN
iajs-2977	165	13	}	}	PUNCT
iajs-2977	165	14	+6	+6	PROPN
iajs-2977	165	15	{	{	PUNCT
iajs-2977	165	16	∑	∑	INTJ
iajs-2977	165	17	∑	∑	INTJ
iajs-2977	165	18	(	(	PUNCT
iajs-2977	165	19	−1)𝑘+𝑗	−1)𝑘+𝑗	NOUN
iajs-2977	165	20	𝑘	𝑘	X
iajs-2977	165	21	!	!	PUNCT
iajs-2977	166	1	(	(	PUNCT
iajs-2977	166	2	𝜃−1	𝜃−1	NOUN
iajs-2977	166	3	𝑗	𝑗	X
iajs-2977	166	4	)	)	PUNCT
iajs-2977	166	5	𝜃−1	𝜃−1	PROPN
iajs-2977	167	1	𝑗=0	𝑗=0	X
iajs-2977	167	2	∞	∞	PROPN
iajs-2977	167	3	𝑘=0	𝑘=0	X
iajs-2977	167	4	2θ(𝑗+1)𝑘	2θ(𝑗+1)𝑘	NUM
iajs-2977	167	5	(	(	PUNCT
iajs-2977	167	6	𝜆)𝑘+1	𝜆)𝑘+1	NOUN
iajs-2977	167	7	(	(	PUNCT
iajs-2977	167	8	−2𝑘−1	−2𝑘−1	PROPN
iajs-2977	167	9	)	)	PUNCT
iajs-2977	167	10	1−[1−𝑒	1−[1−𝑒	NUM
iajs-2977	167	11	−	−	NOUN
iajs-2977	167	12	1	1	NUM
iajs-2977	167	13	𝜆	𝜆	NOUN
iajs-2977	167	14	]	]	X
iajs-2977	167	15	𝜃	𝜃	NOUN
iajs-2977	167	16	}	}	PUNCT
iajs-2977	167	17	2	2	NUM
iajs-2977	167	18	{	{	PUNCT
iajs-2977	167	19	∑	∑	PROPN
iajs-2977	167	20	∑	∑	PROPN
iajs-2977	167	21	(	(	PUNCT
iajs-2977	167	22	−1)𝑘+𝑗	−1)𝑘+𝑗	NOUN
iajs-2977	167	23	𝑘	𝑘	X
iajs-2977	167	24	!	!	PUNCT
iajs-2977	168	1	(	(	PUNCT
iajs-2977	168	2	𝜃−1	𝜃−1	NOUN
iajs-2977	168	3	𝑗	𝑗	X
iajs-2977	168	4	)	)	PUNCT
iajs-2977	168	5	𝜃−1	𝜃−1	PROPN
iajs-2977	169	1	𝑗=0	𝑗=0	X
iajs-2977	169	2	∞	∞	PROPN
iajs-2977	169	3	𝑘=0	𝑘=0	PROPN
iajs-2977	170	1	θ(𝑗+1)𝑘	θ(𝑗+1)𝑘	PROPN
iajs-2977	170	2	(	(	PUNCT
iajs-2977	170	3	𝜆)𝑘+1	𝜆)𝑘+1	NOUN
iajs-2977	170	4	(	(	PUNCT
iajs-2977	170	5	−𝑘	−𝑘	NOUN
iajs-2977	170	6	)	)	PUNCT
iajs-2977	170	7	1−[1−𝑒	1−[1−𝑒	NUM
iajs-2977	170	8	−	−	NOUN
iajs-2977	170	9	1	1	NUM
iajs-2977	170	10	𝜆	𝜆	NOUN
iajs-2977	170	11	]	]	X
iajs-2977	170	12	𝜃	𝜃	NOUN
iajs-2977	170	13	}	}	PUNCT
iajs-2977	170	14	−3	−3	PROPN
iajs-2977	170	15	{	{	PUNCT
iajs-2977	170	16	∑	∑	PROPN
iajs-2977	170	17	∑	∑	INTJ
iajs-2977	170	18	(	(	PUNCT
iajs-2977	170	19	−1)𝑘+𝑗	−1)𝑘+𝑗	NOUN
iajs-2977	170	20	𝑘	𝑘	X
iajs-2977	170	21	!	!	PUNCT
iajs-2977	171	1	(	(	PUNCT
iajs-2977	171	2	𝜃−1	𝜃−1	NOUN
iajs-2977	171	3	𝑗	𝑗	X
iajs-2977	171	4	)	)	PUNCT
iajs-2977	171	5	𝜃−1	𝜃−1	PROPN
iajs-2977	172	1	𝑗=0	𝑗=0	X
iajs-2977	172	2	∞	∞	PROPN
iajs-2977	172	3	𝑘=0	𝑘=0	X
iajs-2977	172	4	2θ(𝑗+1)𝑘	2θ(𝑗+1)𝑘	NUM
iajs-2977	172	5	(	(	PUNCT
iajs-2977	172	6	𝜆)𝑘+1	𝜆)𝑘+1	NOUN
iajs-2977	172	7	(	(	PUNCT
iajs-2977	172	8	−2𝑘−1	−2𝑘−1	PROPN
iajs-2977	172	9	)	)	PUNCT
iajs-2977	172	10	1−[1−𝑒	1−[1−𝑒	NUM
iajs-2977	172	11	−	−	NOUN
iajs-2977	172	12	1	1	NUM
iajs-2977	172	13	𝜆	𝜆	NOUN
iajs-2977	172	14	]	]	X
iajs-2977	172	15	𝜃	𝜃	NOUN
iajs-2977	172	16	}	}	PUNCT
iajs-2977	172	17	4	4	NUM
iajs-2977	172	18	(	(	PUNCT
iajs-2977	172	19	∑	∑	PROPN
iajs-2977	172	20	∑	∑	INTJ
iajs-2977	172	21	(	(	PUNCT
iajs-2977	172	22	−1)𝑘+𝑗	−1)𝑘+𝑗	NOUN
iajs-2977	172	23	𝑘	𝑘	X
iajs-2977	172	24	!	!	PUNCT
iajs-2977	173	1	(	(	PUNCT
iajs-2977	173	2	𝜃−1	𝜃−1	NOUN
iajs-2977	173	3	𝑗	𝑗	X
iajs-2977	173	4	)	)	PUNCT
iajs-2977	173	5	𝜃−1	𝜃−1	PROPN
iajs-2977	174	1	𝑗=0	𝑗=0	X
iajs-2977	174	2	∞	∞	PROPN
iajs-2977	174	3	𝑘=0	𝑘=0	X
iajs-2977	174	4	2θ(𝑗+1)𝑘	2θ(𝑗+1)𝑘	NUM
iajs-2977	174	5	(	(	PUNCT
iajs-2977	174	6	𝜆)𝑘+1	𝜆)𝑘+1	NOUN
iajs-2977	174	7	[	[	PUNCT
iajs-2977	174	8	1	1	NUM
iajs-2977	174	9	(	(	PUNCT
iajs-2977	174	10	−2𝑘	−2𝑘	PROPN
iajs-2977	174	11	)	)	PUNCT
iajs-2977	175	1	[	[	X
iajs-2977	175	2	1−[1−𝑒	1−[1−𝑒	NUM
iajs-2977	175	3	−	−	NOUN
iajs-2977	175	4	1	1	NUM
iajs-2977	175	5	𝜆	𝜆	NOUN
iajs-2977	175	6	]	]	X
iajs-2977	175	7	𝜃	𝜃	X
iajs-2977	175	8	]	]	PUNCT
iajs-2977	175	9	−∑	−∑	PROPN
iajs-2977	175	10	∑	∑	INTJ
iajs-2977	175	11	(	(	PUNCT
iajs-2977	175	12	−1)𝑘+𝑗	−1)𝑘+𝑗	NOUN
iajs-2977	175	13	𝑘	𝑘	X
iajs-2977	175	14	!	!	PUNCT
iajs-2977	176	1	(	(	PUNCT
iajs-2977	176	2	𝜃−1	𝜃−1	NOUN
iajs-2977	176	3	𝑗	𝑗	X
iajs-2977	176	4	)	)	PUNCT
iajs-2977	176	5	𝜃−1	𝜃−1	PROPN
iajs-2977	177	1	𝑗=0	𝑗=0	X
iajs-2977	177	2	∞	∞	PROPN
iajs-2977	177	3	𝑘=0	𝑘=0	X
iajs-2977	177	4	2θ(𝑗+1)𝑘	2θ(𝑗+1)𝑘	NUM
iajs-2977	177	5	(	(	PUNCT
iajs-2977	177	6	𝜆)𝑘+1	𝜆)𝑘+1	NOUN
iajs-2977	177	7	(	(	PUNCT
iajs-2977	177	8	−2𝑘−1	−2𝑘−1	PROPN
iajs-2977	177	9	)	)	PUNCT
iajs-2977	177	10	]	]	PUNCT
iajs-2977	178	1	[	[	X
iajs-2977	178	2	1−[1−𝑒	1−[1−𝑒	NUM
iajs-2977	178	3	−	−	NOUN
iajs-2977	178	4	1	1	NUM
iajs-2977	178	5	𝜆	𝜆	NOUN
iajs-2977	178	6	]	]	X
iajs-2977	178	7	𝜃	𝜃	X
iajs-2977	178	8	]	]	X
iajs-2977	178	9	2	2	X
iajs-2977	178	10	)	)	PUNCT
iajs-2977	178	11	2	2	NUM
iajs-2977	178	12	−	−	NOUN
iajs-2977	178	13	3	3	NUM
iajs-2977	178	14	3.5	3.5	NUM
iajs-2977	178	15	skewness	skewness	NOUN
iajs-2977	178	16	the	the	DET
iajs-2977	178	17	skewness	skewness	NOUN
iajs-2977	178	18	of	of	ADP
iajs-2977	178	19	rtigrd	rtigrd	NOUN
iajs-2977	178	20	can	can	AUX
iajs-2977	178	21	be	be	AUX
iajs-2977	178	22	found	find	VERB
iajs-2977	178	23	as	as	SCONJ
iajs-2977	178	24	follows	follow	VERB
iajs-2977	178	25	:	:	PUNCT
iajs-2977	178	26	𝑠𝑘	𝑠𝑘	NOUN
iajs-2977	178	27	=	=	SYM
iajs-2977	178	28	𝜇3	𝜇3	PROPN
iajs-2977	178	29	(	(	PUNCT
iajs-2977	178	30	𝜇2	𝜇2	PROPN
iajs-2977	178	31	)	)	PUNCT
iajs-2977	178	32	3	3	NUM
iajs-2977	178	33	2	2	NUM
iajs-2977	178	34	=	=	SYM
iajs-2977	178	35	𝐸(𝑡3)−3𝜇𝐸(𝑡2)+2𝜇3	𝐸(𝑡3)−3𝜇𝐸(𝑡2)+2𝜇3	PROPN
iajs-2977	178	36	(	(	PUNCT
iajs-2977	178	37	𝜎2	𝜎2	PROPN
iajs-2977	178	38	)	)	PUNCT
iajs-2977	178	39	3	3	NUM
iajs-2977	178	40	2	2	NUM
iajs-2977	178	41	ihjpas	ihjpa	NOUN
iajs-2977	178	42	.	.	PUNCT
iajs-2977	179	1	36	36	NUM
iajs-2977	179	2	(	(	PUNCT
iajs-2977	179	3	4	4	NUM
iajs-2977	179	4	)	)	PUNCT
iajs-2977	179	5	2023	2023	NUM
iajs-2977	179	6	424	424	NUM
iajs-2977	179	7	sk	sk	NOUN
iajs-2977	179	8	=	=	PUNCT
iajs-2977	179	9	∑	∑	PROPN
iajs-2977	179	10	∑	∑	PUNCT
iajs-2977	179	11	(	(	PUNCT
iajs-2977	179	12	−1)𝑘+𝑗	−1)𝑘+𝑗	NOUN
iajs-2977	179	13	𝑘	𝑘	X
iajs-2977	179	14	!	!	PUNCT
iajs-2977	179	15	(	(	PUNCT
iajs-2977	179	16	𝜃−1𝑗	𝜃−1𝑗	PROPN
iajs-2977	179	17	)	)	PUNCT
iajs-2977	180	1	𝜃−1	𝜃−1	PROPN
iajs-2977	180	2	𝑗=0	𝑗=0	X
iajs-2977	181	1	∞	∞	PROPN
iajs-2977	181	2	𝑘=0	𝑘=0	PROPN
iajs-2977	181	3	θ(𝑗+1)𝑘	θ(𝑗+1)𝑘	PROPN
iajs-2977	181	4	(	(	PUNCT
iajs-2977	181	5	𝜆)𝑘+1	𝜆)𝑘+1	NOUN
iajs-2977	181	6	(	(	PUNCT
iajs-2977	181	7	1−2𝑘	1−2𝑘	NUM
iajs-2977	181	8	)	)	PUNCT
iajs-2977	181	9	1−[1−𝑒	1−[1−𝑒	NUM
iajs-2977	181	10	−	−	NOUN
iajs-2977	181	11	1	1	NUM
iajs-2977	181	12	𝜆	𝜆	NOUN
iajs-2977	181	13	]	]	X
iajs-2977	181	14	𝜃	𝜃	X
iajs-2977	181	15	−3	−3	NOUN
iajs-2977	181	16	{	{	PUNCT
iajs-2977	181	17	∑	∑	PROPN
iajs-2977	181	18	∑	∑	INTJ
iajs-2977	181	19	(	(	PUNCT
iajs-2977	181	20	−1)𝑘+𝑗	−1)𝑘+𝑗	NOUN
iajs-2977	181	21	𝑘	𝑘	X
iajs-2977	181	22	!	!	PUNCT
iajs-2977	182	1	(	(	PUNCT
iajs-2977	182	2	𝜃−1𝑗	𝜃−1𝑗	PROPN
iajs-2977	182	3	)	)	PUNCT
iajs-2977	183	1	𝜃−1	𝜃−1	PROPN
iajs-2977	183	2	𝑗=0	𝑗=0	X
iajs-2977	184	1	∞	∞	PROPN
iajs-2977	184	2	𝑘=0	𝑘=0	X
iajs-2977	184	3	2θ(𝑗+1)𝑘	2θ(𝑗+1)𝑘	NUM
iajs-2977	184	4	(	(	PUNCT
iajs-2977	184	5	𝜆)𝑘+1	𝜆)𝑘+1	NOUN
iajs-2977	184	6	(	(	PUNCT
iajs-2977	184	7	−2𝑘−1	−2𝑘−1	PROPN
iajs-2977	184	8	)	)	PUNCT
iajs-2977	184	9	1−[1−𝑒	1−[1−𝑒	NUM
iajs-2977	184	10	−	−	NOUN
iajs-2977	184	11	1	1	NUM
iajs-2977	184	12	𝜆	𝜆	NOUN
iajs-2977	184	13	]	]	X
iajs-2977	184	14	𝜃	𝜃	NOUN
iajs-2977	184	15	}	}	PUNCT
iajs-2977	184	16	{	{	PUNCT
iajs-2977	184	17	∑	∑	PROPN
iajs-2977	184	18	∑	∑	INTJ
iajs-2977	184	19	(	(	PUNCT
iajs-2977	184	20	−1)𝑘+𝑗	−1)𝑘+𝑗	NOUN
iajs-2977	184	21	𝑘	𝑘	X
iajs-2977	184	22	!	!	PUNCT
iajs-2977	185	1	(	(	PUNCT
iajs-2977	185	2	𝜃−1	𝜃−1	NOUN
iajs-2977	185	3	𝑗	𝑗	X
iajs-2977	185	4	)	)	PUNCT
iajs-2977	185	5	𝜃−1	𝜃−1	PROPN
iajs-2977	186	1	𝑗=0	𝑗=0	X
iajs-2977	186	2	∞	∞	PROPN
iajs-2977	186	3	𝑘=0	𝑘=0	PROPN
iajs-2977	187	1	θ(𝑗+1)𝑘	θ(𝑗+1)𝑘	PROPN
iajs-2977	187	2	(	(	PUNCT
iajs-2977	187	3	𝜆)𝑘+1	𝜆)𝑘+1	NOUN
iajs-2977	187	4	(	(	PUNCT
iajs-2977	187	5	−𝑘	−𝑘	NOUN
iajs-2977	187	6	)	)	PUNCT
iajs-2977	187	7	1−[1−𝑒	1−[1−𝑒	NUM
iajs-2977	187	8	−	−	NOUN
iajs-2977	187	9	1	1	NUM
iajs-2977	187	10	𝜆	𝜆	NOUN
iajs-2977	187	11	]	]	X
iajs-2977	187	12	𝜃	𝜃	NOUN
iajs-2977	187	13	}	}	PUNCT
iajs-2977	187	14	+2	+2	NOUN
iajs-2977	187	15	{	{	PUNCT
iajs-2977	187	16	∑	∑	PROPN
iajs-2977	187	17	∑	∑	INTJ
iajs-2977	187	18	(	(	PUNCT
iajs-2977	187	19	−1)𝑘+𝑗	−1)𝑘+𝑗	NOUN
iajs-2977	187	20	𝑘	𝑘	X
iajs-2977	187	21	!	!	PUNCT
iajs-2977	188	1	(	(	PUNCT
iajs-2977	188	2	𝜃−1	𝜃−1	NOUN
iajs-2977	188	3	𝑗	𝑗	X
iajs-2977	188	4	)	)	PUNCT
iajs-2977	188	5	𝜃−1	𝜃−1	PROPN
iajs-2977	189	1	𝑗=0	𝑗=0	X
iajs-2977	189	2	∞	∞	PROPN
iajs-2977	189	3	𝑘=0	𝑘=0	X
iajs-2977	189	4	2θ(𝑗+1)𝑘	2θ(𝑗+1)𝑘	NUM
iajs-2977	189	5	(	(	PUNCT
iajs-2977	189	6	𝜆)𝑘+1	𝜆)𝑘+1	NOUN
iajs-2977	189	7	(	(	PUNCT
iajs-2977	189	8	−2𝑘−1	−2𝑘−1	PROPN
iajs-2977	189	9	)	)	PUNCT
iajs-2977	189	10	1−[1−𝑒	1−[1−𝑒	NUM
iajs-2977	189	11	−	−	NOUN
iajs-2977	189	12	1	1	NUM
iajs-2977	189	13	𝜆	𝜆	NOUN
iajs-2977	189	14	]	]	X
iajs-2977	189	15	𝜃	𝜃	NOUN
iajs-2977	189	16	}	}	PUNCT
iajs-2977	189	17	3	3	NUM
iajs-2977	189	18	{	{	PUNCT
iajs-2977	189	19	∑	∑	PROPN
iajs-2977	189	20	∑	∑	PROPN
iajs-2977	189	21	(	(	PUNCT
iajs-2977	189	22	−1)𝑘+𝑗	−1)𝑘+𝑗	NOUN
iajs-2977	189	23	𝑘	𝑘	X
iajs-2977	189	24	!	!	PUNCT
iajs-2977	190	1	(	(	PUNCT
iajs-2977	190	2	𝜃−1𝑗	𝜃−1𝑗	PROPN
iajs-2977	190	3	)	)	PUNCT
iajs-2977	191	1	𝜃−1	𝜃−1	PROPN
iajs-2977	191	2	𝑗=0	𝑗=0	X
iajs-2977	192	1	∞	∞	PROPN
iajs-2977	192	2	𝑘=0	𝑘=0	X
iajs-2977	192	3	2θ(𝑗+1)𝑘	2θ(𝑗+1)𝑘	NUM
iajs-2977	192	4	(	(	PUNCT
iajs-2977	192	5	𝜆)𝑘+1	𝜆)𝑘+1	NOUN
iajs-2977	192	6	[	[	PUNCT
iajs-2977	192	7	1	1	NUM
iajs-2977	192	8	(	(	PUNCT
iajs-2977	192	9	−2𝑘	−2𝑘	PROPN
iajs-2977	192	10	)	)	PUNCT
iajs-2977	193	1	[	[	X
iajs-2977	193	2	1−[1−𝑒	1−[1−𝑒	NUM
iajs-2977	193	3	−	−	NOUN
iajs-2977	193	4	1	1	NUM
iajs-2977	193	5	𝜆	𝜆	NOUN
iajs-2977	193	6	]	]	X
iajs-2977	193	7	𝜃	𝜃	X
iajs-2977	193	8	]	]	PUNCT
iajs-2977	193	9	−∑	−∑	PROPN
iajs-2977	193	10	∑	∑	INTJ
iajs-2977	193	11	(	(	PUNCT
iajs-2977	193	12	−1)𝑘+𝑗	−1)𝑘+𝑗	NOUN
iajs-2977	193	13	𝑘	𝑘	X
iajs-2977	193	14	!	!	PUNCT
iajs-2977	193	15	(	(	PUNCT
iajs-2977	193	16	𝜃−1𝑗	𝜃−1𝑗	PROPN
iajs-2977	193	17	)	)	PUNCT
iajs-2977	194	1	𝜃−1	𝜃−1	PROPN
iajs-2977	194	2	𝑗=0	𝑗=0	X
iajs-2977	195	1	∞	∞	PROPN
iajs-2977	195	2	𝑘=0	𝑘=0	X
iajs-2977	195	3	2θ(𝑗+1)𝑘	2θ(𝑗+1)𝑘	NUM
iajs-2977	195	4	(	(	PUNCT
iajs-2977	195	5	𝜆)𝑘+1	𝜆)𝑘+1	NOUN
iajs-2977	195	6	(	(	PUNCT
iajs-2977	195	7	−2𝑘−1	−2𝑘−1	PROPN
iajs-2977	195	8	)	)	PUNCT
iajs-2977	195	9	]	]	PUNCT
iajs-2977	196	1	[	[	X
iajs-2977	196	2	1−[1−𝑒	1−[1−𝑒	NUM
iajs-2977	196	3	−	−	NOUN
iajs-2977	196	4	1	1	NUM
iajs-2977	196	5	𝜆	𝜆	NOUN
iajs-2977	196	6	]	]	X
iajs-2977	196	7	𝜃	𝜃	X
iajs-2977	196	8	]	]	X
iajs-2977	196	9	2	2	NUM
iajs-2977	196	10	}	}	SYM
iajs-2977	196	11	3	3	NUM
iajs-2977	196	12	2	2	NUM
iajs-2977	196	13	3.6	3.6	NUM
iajs-2977	196	14	median	median	NOUN
iajs-2977	196	15	the	the	DET
iajs-2977	196	16	median	median	NOUN
iajs-2977	196	17	of	of	ADP
iajs-2977	196	18	rtigrd	rtigrd	NOUN
iajs-2977	196	19	can	can	AUX
iajs-2977	196	20	be	be	AUX
iajs-2977	196	21	found	find	VERB
iajs-2977	196	22	as	as	SCONJ
iajs-2977	196	23	follows	follow	VERB
iajs-2977	196	24	:	:	PUNCT
iajs-2977	196	25	𝐹𝑅𝑇𝐼𝐺𝑅𝐷(𝑡	𝐹𝑅𝑇𝐼𝐺𝑅𝐷(𝑡	VERB
iajs-2977	196	26	)	)	PUNCT
iajs-2977	197	1	=	=	SYM
iajs-2977	197	2	1	1	NUM
iajs-2977	197	3	2	2	NUM
iajs-2977	197	4	1−[1−𝑒	1−[1−𝑒	NUM
iajs-2977	197	5	−	−	NOUN
iajs-2977	197	6	1	1	NUM
iajs-2977	197	7	𝜆𝑡2	𝜆𝑡2	NOUN
iajs-2977	197	8	]	]	X
iajs-2977	197	9	𝜃	𝜃	PRON
iajs-2977	197	10	1−[1−𝑒	1−[1−𝑒	NUM
iajs-2977	197	11	−	−	NOUN
iajs-2977	197	12	1	1	NUM
iajs-2977	197	13	𝜆	𝜆	NOUN
iajs-2977	197	14	]	]	X
iajs-2977	197	15	𝜃	𝜃	NOUN
iajs-2977	197	16	=	=	SYM
iajs-2977	197	17	1	1	NUM
iajs-2977	197	18	2	2	NUM
iajs-2977	197	19	1	1	NUM
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iajs-2977	198	1	[	[	X
iajs-2977	198	2	1	1	NUM
iajs-2977	198	3	−	−	NOUN
iajs-2977	198	4	𝑒	𝑒	PROPN
iajs-2977	198	5	−	−	PROPN
iajs-2977	198	6	1	1	NUM
iajs-2977	198	7	𝜆𝑡2	𝜆𝑡2	NOUN
iajs-2977	198	8	]	]	X
iajs-2977	198	9	𝜃	𝜃	NOUN
iajs-2977	198	10	=	=	SYM
iajs-2977	198	11	1−[1−𝑒	1−[1−𝑒	NUM
iajs-2977	198	12	−	−	NOUN
iajs-2977	198	13	1	1	NUM
iajs-2977	198	14	𝜆	𝜆	NOUN
iajs-2977	198	15	]	]	X
iajs-2977	198	16	𝜃	𝜃	NUM
iajs-2977	198	17	2	2	NUM
iajs-2977	198	18	2	2	NUM
iajs-2977	198	19	−	−	NUM
iajs-2977	198	20	2	2	NUM
iajs-2977	199	1	[	[	SYM
iajs-2977	199	2	1	1	NUM
iajs-2977	199	3	−	−	NOUN
iajs-2977	199	4	𝑒	𝑒	PROPN
iajs-2977	199	5	−	−	PROPN
iajs-2977	199	6	1	1	NUM
iajs-2977	199	7	𝜆𝑡2	𝜆𝑡2	NOUN
iajs-2977	199	8	]	]	X
iajs-2977	199	9	𝜃	𝜃	NOUN
iajs-2977	199	10	=	=	SYM
iajs-2977	199	11	1	1	NUM
iajs-2977	199	12	−	−	NOUN
iajs-2977	200	1	[	[	X
iajs-2977	200	2	1	1	NUM
iajs-2977	200	3	−	−	NUM
iajs-2977	200	4	𝑒−	𝑒−	NOUN
iajs-2977	200	5	1	1	NUM
iajs-2977	200	6	𝜆	𝜆	NOUN
iajs-2977	200	7	]	]	X
iajs-2977	200	8	𝜃	𝜃	PRON
iajs-2977	200	9	1	1	NUM
iajs-2977	200	10	−	−	NUM
iajs-2977	200	11	2	2	NUM
iajs-2977	200	12	[	[	SYM
iajs-2977	200	13	1	1	NUM
iajs-2977	200	14	−	−	NOUN
iajs-2977	200	15	𝑒	𝑒	PROPN
iajs-2977	200	16	−	−	PROPN
iajs-2977	200	17	1	1	NUM
iajs-2977	200	18	𝜆𝑡2	𝜆𝑡2	NOUN
iajs-2977	200	19	]	]	X
iajs-2977	200	20	𝜃	𝜃	NOUN
iajs-2977	200	21	=	=	SYM
iajs-2977	200	22	−[1	−[1	ADJ
iajs-2977	200	23	−	−	PROPN
iajs-2977	200	24	𝑒−	𝑒−	NOUN
iajs-2977	200	25	1	1	NUM
iajs-2977	200	26	𝜆	𝜆	NOUN
iajs-2977	200	27	]	]	X
iajs-2977	200	28	𝜃	𝜃	X
iajs-2977	201	1	[	[	X
iajs-2977	201	2	1	1	NUM
iajs-2977	201	3	−	−	NOUN
iajs-2977	201	4	𝑒	𝑒	PROPN
iajs-2977	201	5	−	−	PROPN
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iajs-2977	201	7	𝜆𝑡2	𝜆𝑡2	NOUN
iajs-2977	201	8	]	]	X
iajs-2977	201	9	𝜃	𝜃	NOUN
iajs-2977	201	10	=	=	SYM
iajs-2977	201	11	1+[1−𝑒	1+[1−𝑒	NUM
iajs-2977	201	12	−	−	PROPN
iajs-2977	201	13	1	1	NUM
iajs-2977	201	14	𝜆	𝜆	NOUN
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iajs-2977	201	17	2	2	NUM
iajs-2977	201	18	1	1	NUM
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iajs-2977	201	21	−	−	PROPN
iajs-2977	201	22	1	1	NUM
iajs-2977	201	23	𝜆𝑡2	𝜆𝑡2	NOUN
iajs-2977	201	24	=	=	PUNCT
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iajs-2977	202	4	1	1	NUM
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iajs-2977	202	6	]	]	X
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iajs-2977	202	8	2	2	NUM
iajs-2977	202	9	]	]	SYM
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iajs-2977	202	14	1	1	NUM
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iajs-2977	203	3	4	4	NUM
iajs-2977	203	4	)	)	PUNCT
iajs-2977	203	5	2023	2023	NUM
iajs-2977	203	6	425	425	NUM
iajs-2977	203	7	𝑙𝑛	𝑙𝑛	NOUN
iajs-2977	203	8	𝑒	𝑒	PROPN
iajs-2977	203	9	−	−	PROPN
iajs-2977	203	10	1	1	NUM
iajs-2977	203	11	𝜆𝑡2	𝜆𝑡2	NOUN
iajs-2977	203	12	=	=	NOUN
iajs-2977	203	13	𝑙𝑛	𝑙𝑛	NOUN
iajs-2977	203	14	[	[	PUNCT
iajs-2977	203	15	1	1	NUM
iajs-2977	203	16	−	−	NOUN
iajs-2977	203	17	[	[	PUNCT
iajs-2977	203	18	1+[1−𝑒	1+[1−𝑒	NUM
iajs-2977	203	19	−	−	PROPN
iajs-2977	203	20	1	1	NUM
iajs-2977	203	21	𝜆	𝜆	NOUN
iajs-2977	203	22	]	]	X
iajs-2977	203	23	𝜃	𝜃	PRON
iajs-2977	203	24	2	2	NUM
iajs-2977	203	25	]	]	SYM
iajs-2977	203	26	1	1	NUM
iajs-2977	203	27	𝜃	𝜃	X
iajs-2977	203	28	]	]	PUNCT
iajs-2977	203	29	−	−	PROPN
iajs-2977	203	30	1	1	NUM
iajs-2977	203	31	𝜆𝑡2	𝜆𝑡2	NOUN
iajs-2977	203	32	=	=	NOUN
iajs-2977	203	33	𝑙𝑛	𝑙𝑛	NOUN
iajs-2977	203	34	[	[	PUNCT
iajs-2977	203	35	1	1	NUM
iajs-2977	203	36	−	−	NOUN
iajs-2977	203	37	[	[	PUNCT
iajs-2977	203	38	1+[1−𝑒	1+[1−𝑒	NUM
iajs-2977	203	39	−	−	PROPN
iajs-2977	203	40	1	1	NUM
iajs-2977	203	41	𝜆	𝜆	NOUN
iajs-2977	203	42	]	]	X
iajs-2977	203	43	𝜃	𝜃	PRON
iajs-2977	203	44	2	2	NUM
iajs-2977	203	45	]	]	SYM
iajs-2977	203	46	1	1	NUM
iajs-2977	203	47	𝜃	𝜃	X
iajs-2977	203	48	]	]	PUNCT
iajs-2977	203	49	1	1	NUM
iajs-2977	203	50	𝜆𝑡2	𝜆𝑡2	X
iajs-2977	203	51	=	=	NOUN
iajs-2977	203	52	𝑙𝑛	𝑙𝑛	NOUN
iajs-2977	203	53	[	[	PUNCT
iajs-2977	203	54	1	1	NUM
iajs-2977	203	55	−	−	NOUN
iajs-2977	203	56	[	[	PUNCT
iajs-2977	203	57	1+[1−𝑒	1+[1−𝑒	NUM
iajs-2977	203	58	−	−	PROPN
iajs-2977	203	59	1	1	NUM
iajs-2977	203	60	𝜆	𝜆	NOUN
iajs-2977	203	61	]	]	X
iajs-2977	203	62	𝜃	𝜃	PRON
iajs-2977	203	63	2	2	NUM
iajs-2977	203	64	]	]	SYM
iajs-2977	203	65	1	1	NUM
iajs-2977	203	66	𝜃	𝜃	X
iajs-2977	203	67	]	]	PUNCT
iajs-2977	203	68	−1	−1	NOUN
iajs-2977	203	69	𝑡2	𝑡2	NOUN
iajs-2977	203	70	=	=	PUNCT
iajs-2977	203	71	1	1	NUM
iajs-2977	203	72	𝜆𝑙𝑛	𝜆𝑙𝑛	NOUN
iajs-2977	203	73	[	[	PUNCT
iajs-2977	203	74	1−	1−	NUM
iajs-2977	203	75	[	[	PUNCT
iajs-2977	203	76	1+[1−𝑒	1+[1−𝑒	NUM
iajs-2977	203	77	−	−	PROPN
iajs-2977	203	78	1	1	NUM
iajs-2977	203	79	𝜆	𝜆	NOUN
iajs-2977	203	80	]	]	X
iajs-2977	203	81	𝜃	𝜃	PRON
iajs-2977	203	82	2	2	NUM
iajs-2977	203	83	]	]	SYM
iajs-2977	203	84	1	1	NUM
iajs-2977	203	85	𝜃	𝜃	X
iajs-2977	203	86	]	]	PUNCT
iajs-2977	203	87	−1	−1	NOUN
iajs-2977	203	88	𝑡𝑀𝑒𝑑𝑖𝑎𝑛	𝑡𝑀𝑒𝑑𝑖𝑎𝑛	PROPN
iajs-2977	203	89	=	=	SYM
iajs-2977	203	90	√	√	PROPN
iajs-2977	203	91	1	1	NUM
iajs-2977	203	92	𝜆𝑙𝑛	𝜆𝑙𝑛	NOUN
iajs-2977	203	93	[	[	PUNCT
iajs-2977	203	94	1−	1−	NUM
iajs-2977	203	95	[	[	PUNCT
iajs-2977	203	96	1+[1−𝑒	1+[1−𝑒	NUM
iajs-2977	203	97	−	−	PROPN
iajs-2977	203	98	1	1	NUM
iajs-2977	203	99	𝜆	𝜆	NOUN
iajs-2977	203	100	]	]	X
iajs-2977	203	101	𝜃	𝜃	PRON
iajs-2977	203	102	2	2	NUM
iajs-2977	203	103	]	]	SYM
iajs-2977	203	104	1	1	NUM
iajs-2977	203	105	𝜃	𝜃	X
iajs-2977	203	106	]	]	PUNCT
iajs-2977	203	107	−1	−1	NOUN
iajs-2977	203	108	3.7	3.7	NUM
iajs-2977	203	109	mode	mode	NOUN
iajs-2977	203	110	the	the	DET
iajs-2977	203	111	mode	mode	NOUN
iajs-2977	203	112	of	of	ADP
iajs-2977	203	113	rtigrd	rtigrd	NOUN
iajs-2977	203	114	can	can	AUX
iajs-2977	203	115	be	be	AUX
iajs-2977	203	116	found	find	VERB
iajs-2977	203	117	as	as	SCONJ
iajs-2977	203	118	follows	follow	VERB
iajs-2977	203	119	:	:	PUNCT
iajs-2977	203	120	𝑓𝑅𝑇𝐼𝐺𝑅𝐷(𝑡	𝑓𝑅𝑇𝐼𝐺𝑅𝐷(𝑡	NOUN
iajs-2977	203	121	)	)	PUNCT
iajs-2977	203	122	=	=	PUNCT
iajs-2977	204	1	[	[	X
iajs-2977	204	2	1−𝑒	1−𝑒	NUM
iajs-2977	204	3	−	−	NOUN
iajs-2977	204	4	1	1	NUM
iajs-2977	204	5	𝜆𝑡2	𝜆𝑡2	NOUN
iajs-2977	204	6	]	]	X
iajs-2977	205	1	𝜃−1	𝜃−1	AUX
iajs-2977	205	2	2𝜃	2𝜃	NUM
iajs-2977	205	3	𝜆𝑡3	𝜆𝑡3	NOUN
iajs-2977	205	4	𝑒	𝑒	ADP
iajs-2977	205	5	−	−	PROPN
iajs-2977	205	6	1	1	NUM
iajs-2977	205	7	𝜆𝑡2	𝜆𝑡2	NOUN
iajs-2977	205	8	1−[1−𝑒	1−[1−𝑒	NUM
iajs-2977	205	9	−	−	NOUN
iajs-2977	205	10	1	1	NUM
iajs-2977	205	11	𝜆	𝜆	NOUN
iajs-2977	205	12	]	]	X
iajs-2977	205	13	𝜃	𝜃	X
iajs-2977	205	14	,	,	PUNCT
iajs-2977	205	15	0	0	NUM
iajs-2977	205	16	≤	≤	NUM
iajs-2977	205	17	t≤	t≤	VERB
iajs-2977	205	18	1	1	NUM
iajs-2977	205	19	𝑓𝑅𝑇𝐼𝐺𝑅𝐷(𝑡	𝑓𝑅𝑇𝐼𝐺𝑅𝐷(𝑡	NOUN
iajs-2977	205	20	)	)	PUNCT
iajs-2977	205	21	=	=	PUNCT
iajs-2977	205	22	∑	∑	PUNCT
iajs-2977	205	23	(	(	PUNCT
iajs-2977	205	24	𝜃−1	𝜃−1	PROPN
iajs-2977	205	25	𝑗	𝑗	NOUN
iajs-2977	205	26	)	)	PUNCT
iajs-2977	205	27	(	(	PUNCT
iajs-2977	205	28	−1)𝑗	−1)𝑗	PUNCT
iajs-2977	205	29	𝑒	𝑒	PROPN
iajs-2977	205	30	−	−	PROPN
iajs-2977	205	31	𝑗	𝑗	INTJ
iajs-2977	205	32	𝜆𝑡2	𝜆𝑡2	NOUN
iajs-2977	205	33	2𝜃	2𝜃	NUM
iajs-2977	205	34	𝜆𝑡3	𝜆𝑡3	NOUN
iajs-2977	205	35	𝑒	𝑒	ADP
iajs-2977	205	36	−	−	PROPN
iajs-2977	205	37	1	1	NUM
iajs-2977	205	38	𝜆𝑡2𝜃−1	𝜆𝑡2𝜃−1	NUM
iajs-2977	205	39	𝑗=0	𝑗=0	PROPN
iajs-2977	205	40	1−[1−𝑒	1−[1−𝑒	NUM
iajs-2977	205	41	−	−	NOUN
iajs-2977	205	42	1	1	NUM
iajs-2977	205	43	𝜆	𝜆	NOUN
iajs-2977	205	44	]	]	X
iajs-2977	205	45	𝜃	𝜃	X
iajs-2977	205	46	𝑓𝑅𝑇𝐼𝐺𝑅𝐷(𝑡	𝑓𝑅𝑇𝐼𝐺𝑅𝐷(𝑡	NOUN
iajs-2977	205	47	)	)	PUNCT
iajs-2977	205	48	=	=	PUNCT
iajs-2977	205	49	∑	∑	PUNCT
iajs-2977	205	50	(	(	PUNCT
iajs-2977	205	51	𝜃−1	𝜃−1	PROPN
iajs-2977	205	52	𝑗	𝑗	NOUN
iajs-2977	205	53	)	)	PUNCT
iajs-2977	205	54	(	(	PUNCT
iajs-2977	205	55	−1)𝑗	−1)𝑗	VERB
iajs-2977	205	56	2𝜃	2𝜃	NUM
iajs-2977	205	57	𝜆𝑡3	𝜆𝑡3	NOUN
iajs-2977	205	58	𝑒	𝑒	ADP
iajs-2977	205	59	−	−	NOUN
iajs-2977	205	60	𝑗+1	𝑗+1	NOUN
iajs-2977	205	61	𝜆𝑡2𝜃−1	𝜆𝑡2𝜃−1	PUNCT
iajs-2977	205	62	𝑗=0	𝑗=0	SYM
iajs-2977	205	63	1−[1−𝑒	1−[1−𝑒	NUM
iajs-2977	205	64	−	−	NOUN
iajs-2977	205	65	1	1	NUM
iajs-2977	205	66	𝜆	𝜆	NOUN
iajs-2977	205	67	]	]	X
iajs-2977	205	68	𝜃	𝜃	SYM
iajs-2977	205	69	𝑓𝑅𝑇𝐼𝐺𝑅𝐷(𝑡	𝑓𝑅𝑇𝐼𝐺𝑅𝐷(𝑡	NOUN
iajs-2977	205	70	)	)	PUNCT
iajs-2977	205	71	=	=	SYM
iajs-2977	205	72	𝑀𝑗	𝑀𝑗	PROPN
iajs-2977	205	73	𝑡3	𝑡3	PROPN
iajs-2977	205	74	𝑒	𝑒	PROPN
iajs-2977	205	75	−	−	PROPN
iajs-2977	205	76	𝑗+1	𝑗+1	PROPN
iajs-2977	205	77	𝜆𝑡2	𝜆𝑡2	NOUN
iajs-2977	205	78	ihjpas	ihjpas	PROPN
iajs-2977	205	79	.	.	PUNCT
iajs-2977	206	1	36	36	NUM
iajs-2977	206	2	(	(	PUNCT
iajs-2977	206	3	4	4	NUM
iajs-2977	206	4	)	)	PUNCT
iajs-2977	206	5	2023	2023	NUM
iajs-2977	206	6	426	426	NUM
iajs-2977	206	7	,	,	PUNCT
iajs-2977	207	1	where	where	SCONJ
iajs-2977	207	2	𝑀𝑗	𝑀𝑗	ADV
iajs-2977	207	3	=	=	PRON
iajs-2977	207	4	∑	∑	PUNCT
iajs-2977	207	5	(	(	PUNCT
iajs-2977	207	6	𝜃−1	𝜃−1	PROPN
iajs-2977	207	7	𝑗	𝑗	NOUN
iajs-2977	207	8	)	)	PUNCT
iajs-2977	207	9	(	(	PUNCT
iajs-2977	207	10	−1)𝑗	−1)𝑗	SYM
iajs-2977	207	11	2𝜃	2𝜃	NUM
iajs-2977	207	12	𝜆	𝜆	ADP
iajs-2977	207	13	𝜃−1	𝜃−1	PRON
iajs-2977	207	14	𝑗=0	𝑗=0	PROPN
iajs-2977	207	15	1−[1−𝑒	1−[1−𝑒	NUM
iajs-2977	207	16	−	−	NOUN
iajs-2977	207	17	1	1	NUM
iajs-2977	207	18	𝜆	𝜆	NOUN
iajs-2977	207	19	]	]	X
iajs-2977	207	20	𝜃	𝜃	NUM
iajs-2977	207	21	∴	∴	PROPN
iajs-2977	207	22	𝑑𝑓𝑅𝑇𝐼𝐺𝑅𝐷(𝑡	𝑑𝑓𝑅𝑇𝐼𝐺𝑅𝐷(𝑡	PROPN
iajs-2977	207	23	)	)	PUNCT
iajs-2977	207	24	𝑑𝑡	𝑑𝑡	ADP
iajs-2977	207	25	=	=	SYM
iajs-2977	207	26	2𝑀𝑗𝑡	2𝑀𝑗𝑡	NUM
iajs-2977	207	27	3𝑗+1	3𝑗+1	NUM
iajs-2977	207	28	𝜆𝑡3	𝜆𝑡3	NOUN
iajs-2977	207	29	𝑒	𝑒	X
iajs-2977	207	30	−	−	PROPN
iajs-2977	207	31	𝑗+1	𝑗+1	PROPN
iajs-2977	208	1	𝜆𝑡2−3𝑀𝑗𝑒	𝜆𝑡2−3𝑀𝑗𝑒	ADV
iajs-2977	208	2	−	−	PROPN
iajs-2977	209	1	𝑗+1	𝑗+1	NUM
iajs-2977	209	2	𝜆𝑡2	𝜆𝑡2	NOUN
iajs-2977	209	3	𝑡2	𝑡2	ADJ
iajs-2977	209	4	𝑡6	𝑡6	NOUN
iajs-2977	209	5	=	=	SYM
iajs-2977	209	6	0	0	NUM
iajs-2977	210	1	2∑	2∑	NUM
iajs-2977	210	2	𝑗+1	𝑗+1	PUNCT
iajs-2977	211	1	𝜆	𝜆	PRON
iajs-2977	211	2	−	−	PROPN
iajs-2977	211	3	3	3	NUM
iajs-2977	212	1	𝜃−1	𝜃−1	PROPN
iajs-2977	212	2	𝑗=0	𝑗=0	PROPN
iajs-2977	213	1	𝑡2	𝑡2	NOUN
iajs-2977	213	2	=	=	PUNCT
iajs-2977	213	3	0	0	NUM
iajs-2977	214	1	2∑	2∑	NUM
iajs-2977	214	2	𝑗+1	𝑗+1	PUNCT
iajs-2977	215	1	𝜆	𝜆	PRON
iajs-2977	215	2	𝜃−1	𝜃−1	PRON
iajs-2977	215	3	𝑗=0	𝑗=0	PUNCT
iajs-2977	215	4	=	=	PUNCT
iajs-2977	216	1	3	3	NUM
iajs-2977	216	2	𝑡2	𝑡2	NOUN
iajs-2977	216	3	2∑	2∑	NUM
iajs-2977	216	4	𝑗+1	𝑗+1	PUNCT
iajs-2977	216	5	3𝜆	3𝜆	NOUN
iajs-2977	216	6	𝜃−1	𝜃−1	PRON
iajs-2977	216	7	𝑗=0	𝑗=0	PUNCT
iajs-2977	216	8	=	=	SYM
iajs-2977	217	1	𝑡2	𝑡2	PROPN
iajs-2977	217	2	𝑡𝑀𝑜𝑑𝑒	𝑡𝑀𝑜𝑑𝑒	PROPN
iajs-2977	217	3	=	=	PUNCT
iajs-2977	218	1	√2∑	√2∑	NOUN
iajs-2977	218	2	𝑗+1	𝑗+1	X
iajs-2977	218	3	3𝜆	3𝜆	NOUN
iajs-2977	218	4	𝜃−1	𝜃−1	PRON
iajs-2977	218	5	𝑗=0	𝑗=0	PROPN
iajs-2977	218	6	4	4	X
iajs-2977	218	7	.	.	PUNCT
iajs-2977	219	1	conclusions	conclusion	NOUN
iajs-2977	219	2	the	the	DET
iajs-2977	219	3	right	right	ADJ
iajs-2977	219	4	truncated	truncated	ADJ
iajs-2977	219	5	inverse	inverse	NOUN
iajs-2977	219	6	generalized	generalize	VERB
iajs-2977	219	7	rayleigh	rayleigh	NOUN
iajs-2977	219	8	distribution	distribution	NOUN
iajs-2977	219	9	was	be	AUX
iajs-2977	219	10	considered	consider	VERB
iajs-2977	219	11	in	in	ADP
iajs-2977	219	12	this	this	DET
iajs-2977	219	13	paper	paper	NOUN
iajs-2977	219	14	.	.	PUNCT
iajs-2977	220	1	numerical	numerical	ADJ
iajs-2977	220	2	methods	method	NOUN
iajs-2977	220	3	were	be	AUX
iajs-2977	220	4	used	use	VERB
iajs-2977	220	5	for	for	ADP
iajs-2977	220	6	deriving	derive	VERB
iajs-2977	220	7	the	the	DET
iajs-2977	220	8	properties	property	NOUN
iajs-2977	220	9	of	of	ADP
iajs-2977	220	10	rtigrd	rtigrd	NOUN
iajs-2977	220	11	as	as	ADP
iajs-2977	220	12	survival	survival	NOUN
iajs-2977	220	13	function	function	NOUN
iajs-2977	220	14	,	,	PUNCT
iajs-2977	220	15	hazard	hazard	NOUN
iajs-2977	220	16	function	function	NOUN
iajs-2977	220	17	,	,	PUNCT
iajs-2977	220	18	rth	rth	NOUN
iajs-2977	220	19	moment	moment	NOUN
iajs-2977	220	20	,	,	PUNCT
iajs-2977	220	21	mean	mean	VERB
iajs-2977	220	22	,	,	PUNCT
iajs-2977	220	23	variance	variance	NOUN
iajs-2977	220	24	,	,	PUNCT
iajs-2977	220	25	moment	moment	NOUN
iajs-2977	220	26	generating	generate	VERB
iajs-2977	220	27	function	function	NOUN
iajs-2977	220	28	,	,	PUNCT
iajs-2977	220	29	skewness	skewness	NOUN
iajs-2977	220	30	,	,	PUNCT
iajs-2977	220	31	kurtosis	kurtosis	NOUN
iajs-2977	220	32	,	,	PUNCT
iajs-2977	220	33	median	median	NOUN
iajs-2977	220	34	,	,	PUNCT
iajs-2977	220	35	and	and	CCONJ
iajs-2977	220	36	mode	mode	NOUN
iajs-2977	220	37	.	.	PUNCT
iajs-2977	221	1	references	reference	NOUN
iajs-2977	221	2	1	1	NUM
iajs-2977	221	3	.	.	X
iajs-2977	222	1	alaesa	alaesa	PROPN
iajs-2977	222	2	,	,	PUNCT
iajs-2977	222	3	m.s.i	m.s.i	PROPN
iajs-2977	222	4	.	.	PROPN
iajs-2977	222	5	,	,	PUNCT
iajs-2977	222	6	comparison	comparison	NOUN
iajs-2977	222	7	among	among	ADP
iajs-2977	222	8	some	some	DET
iajs-2977	222	9	methods	method	NOUN
iajs-2977	222	10	of	of	ADP
iajs-2977	222	11	estimating	estimate	VERB
iajs-2977	222	12	the	the	DET
iajs-2977	222	13	parameters	parameter	NOUN
iajs-2977	222	14	of	of	ADP
iajs-2977	222	15	truncated	truncated	ADJ
iajs-2977	222	16	normal	normal	ADJ
iajs-2977	222	17	distribution	distribution	NOUN
iajs-2977	222	18	.	.	PUNCT
iajs-2977	223	1	2017	2017	NUM
iajs-2977	223	2	,	,	PUNCT
iajs-2977	223	3	zarqa	zarqa	PROPN
iajs-2977	223	4	university	university	PROPN
iajs-2977	223	5	.	.	PUNCT
iajs-2977	224	1	2	2	X
iajs-2977	224	2	.	.	X
iajs-2977	224	3	jebur	jebur	PROPN
iajs-2977	224	4	,	,	PUNCT
iajs-2977	224	5	i.g	i.g	PROPN
iajs-2977	224	6	.	.	PROPN
iajs-2977	224	7	;	;	PUNCT
iajs-2977	224	8	kalaf	kalaf	PROPN
iajs-2977	224	9	,	,	PUNCT
iajs-2977	224	10	b.a	b.a	PROPN
iajs-2977	224	11	.	.	PROPN
iajs-2977	224	12	;	;	PUNCT
iajs-2977	224	13	salman	salman	PROPN
iajs-2977	224	14	,	,	PUNCT
iajs-2977	224	15	a.n	a.n	PROPN
iajs-2977	224	16	..	..	PUNCT
iajs-2977	224	17	on	on	ADP
iajs-2977	224	18	bayesian	bayesian	NOUN
iajs-2977	224	19	estimation	estimation	NOUN
iajs-2977	224	20	of	of	ADP
iajs-2977	224	21	system	system	NOUN
iajs-2977	224	22	reliability	reliability	NOUN
iajs-2977	224	23	in	in	ADP
iajs-2977	224	24	stress	stress	NOUN
iajs-2977	224	25	–	–	PUNCT
iajs-2977	224	26	strength	strength	NOUN
iajs-2977	224	27	model	model	NOUN
iajs-2977	224	28	based	base	VERB
iajs-2977	224	29	on	on	ADP
iajs-2977	224	30	generalized	generalized	ADJ
iajs-2977	224	31	inverse	inverse	NOUN
iajs-2977	224	32	rayleigh	rayleigh	NOUN
iajs-2977	224	33	distribution	distribution	NOUN
iajs-2977	224	34	.	.	PUNCT
iajs-2977	225	1	in	in	ADP
iajs-2977	225	2	iop	iop	PROPN
iajs-2977	225	3	conference	conference	NOUN
iajs-2977	225	4	series	series	NOUN
iajs-2977	225	5	:	:	PUNCT
iajs-2977	225	6	materials	material	NOUN
iajs-2977	225	7	science	science	NOUN
iajs-2977	225	8	and	and	CCONJ
iajs-2977	225	9	engineering	engineering	NOUN
iajs-2977	225	10	.	.	PUNCT
iajs-2977	226	1	2020	2020	NUM
iajs-2977	226	2	.	.	PUNCT
iajs-2977	227	1	iop	iop	NOUN
iajs-2977	227	2	publishing	publishing	NOUN
iajs-2977	227	3	.	.	PUNCT
iajs-2977	228	1	3	3	X
iajs-2977	228	2	.	.	X
iajs-2977	228	3	kalaf	kalaf	PROPN
iajs-2977	228	4	,	,	PUNCT
iajs-2977	228	5	b.a	b.a	PROPN
iajs-2977	228	6	.	.	PROPN
iajs-2977	228	7	;	;	PUNCT
iajs-2977	229	1	raheem	raheem	PROPN
iajs-2977	229	2	,	,	PUNCT
iajs-2977	229	3	s.h	s.h	PROPN
iajs-2977	229	4	.	.	PROPN
iajs-2977	229	5	;	;	PUNCT
iajs-2977	229	6	salman	salman	PROPN
iajs-2977	229	7	,	,	PUNCT
iajs-2977	229	8	a.n	a.n	PROPN
iajs-2977	229	9	.	.	PROPN
iajs-2977	229	10	,	,	PUNCT
iajs-2977	229	11	estimation	estimation	NOUN
iajs-2977	229	12	of	of	ADP
iajs-2977	229	13	the	the	DET
iajs-2977	229	14	reliability	reliability	NOUN
iajs-2977	229	15	system	system	NOUN
iajs-2977	229	16	in	in	ADP
iajs-2977	229	17	model	model	NOUN
iajs-2977	229	18	of	of	ADP
iajs-2977	229	19	stress	stress	NOUN
iajs-2977	229	20	-	-	PUNCT
iajs-2977	229	21	strength	strength	NOUN
iajs-2977	229	22	according	accord	VERB
iajs-2977	229	23	to	to	ADP
iajs-2977	229	24	distribution	distribution	NOUN
iajs-2977	229	25	of	of	ADP
iajs-2977	229	26	inverse	inverse	NOUN
iajs-2977	229	27	rayleigh	rayleigh	PROPN
iajs-2977	229	28	.	.	PUNCT
iajs-2977	230	1	periodicals	periodical	NOUN
iajs-2977	230	2	of	of	ADP
iajs-2977	230	3	engineering	engineer	VERB
iajs-2977	230	4	natural	natural	ADJ
iajs-2977	230	5	sciences	science	NOUN
iajs-2977	230	6	,	,	PUNCT
iajs-2977	230	7	2021	2021	NUM
iajs-2977	230	8	.	.	PUNCT
iajs-2977	231	1	9(2	9(2	NUM
iajs-2977	231	2	):	):	PUNCT
iajs-2977	231	3	p.	p.	NOUN
iajs-2977	231	4	524	524	NUM
iajs-2977	231	5	-	-	SYM
iajs-2977	231	6	533	533	NUM
iajs-2977	231	7	.	.	NOUN
iajs-2977	231	8	4	4	NUM
iajs-2977	231	9	.	.	X
iajs-2977	231	10	galton	galton	PROPN
iajs-2977	231	11	,	,	PUNCT
iajs-2977	231	12	f.	f.	PROPN
iajs-2977	231	13	,	,	PUNCT
iajs-2977	231	14	an	an	DET
iajs-2977	231	15	examination	examination	NOUN
iajs-2977	231	16	into	into	ADP
iajs-2977	231	17	the	the	DET
iajs-2977	231	18	registered	register	VERB
iajs-2977	231	19	speeds	speed	NOUN
iajs-2977	231	20	of	of	ADP
iajs-2977	231	21	american	american	ADJ
iajs-2977	231	22	trotting	trotting	NOUN
iajs-2977	231	23	horses	horse	NOUN
iajs-2977	231	24	,	,	PUNCT
iajs-2977	231	25	with	with	ADP
iajs-2977	231	26	remarks	remark	NOUN
iajs-2977	231	27	on	on	ADP
iajs-2977	231	28	their	their	PRON
iajs-2977	231	29	value	value	NOUN
iajs-2977	231	30	as	as	ADP
iajs-2977	231	31	hereditary	hereditary	ADJ
iajs-2977	231	32	data	datum	NOUN
iajs-2977	231	33	.	.	PUNCT
iajs-2977	232	1	proceedings	proceeding	NOUN
iajs-2977	232	2	of	of	ADP
iajs-2977	232	3	the	the	DET
iajs-2977	232	4	royal	royal	ADJ
iajs-2977	232	5	society	society	NOUN
iajs-2977	232	6	of	of	ADP
iajs-2977	232	7	london	london	PROPN
iajs-2977	232	8	,	,	PUNCT
iajs-2977	232	9	1898	1898	NUM
iajs-2977	232	10	.	.	PUNCT
iajs-2977	233	1	62(379	62(379	NOUN
iajs-2977	233	2	-	-	PUNCT
iajs-2977	233	3	387	387	NUM
iajs-2977	233	4	):	):	PUNCT
iajs-2977	234	1	p.	p.	NOUN
iajs-2977	234	2	310	310	NUM
iajs-2977	234	3	-	-	SYM
iajs-2977	234	4	315	315	NUM
iajs-2977	234	5	.	.	PUNCT
iajs-2977	234	6	5	5	NUM
iajs-2977	234	7	.	.	X
iajs-2977	235	1	abid	abid	PROPN
iajs-2977	235	2	,	,	PUNCT
iajs-2977	235	3	s.h	s.h	PROPN
iajs-2977	235	4	.	.	PROPN
iajs-2977	235	5	and	and	CCONJ
iajs-2977	235	6	statistics	statistic	NOUN
iajs-2977	235	7	,	,	PUNCT
iajs-2977	235	8	properties	property	NOUN
iajs-2977	235	9	of	of	ADP
iajs-2977	235	10	doubly	doubly	ADV
iajs-2977	235	11	-	-	PUNCT
iajs-2977	235	12	truncated	truncate	VERB
iajs-2977	235	13	fréchet	fréchet	NOUN
iajs-2977	235	14	distribution	distribution	NOUN
iajs-2977	235	15	.	.	PUNCT
iajs-2977	236	1	american	american	ADJ
iajs-2977	236	2	journal	journal	PROPN
iajs-2977	236	3	of	of	ADP
iajs-2977	236	4	applied	apply	VERB
iajs-2977	236	5	mathematics	mathematic	NOUN
iajs-2977	236	6	,	,	PUNCT
iajs-2977	236	7	2016	2016	NUM
iajs-2977	236	8	.	.	PUNCT
iajs-2977	237	1	4(1	4(1	NOUN
iajs-2977	237	2	):	):	PUNCT
iajs-2977	238	1	p.	p.	NOUN
iajs-2977	238	2	9	9	NUM
iajs-2977	238	3	-	-	SYM
iajs-2977	238	4	15	15	NUM
iajs-2977	238	5	.	.	NOUN
iajs-2977	238	6	6	6	NUM
iajs-2977	238	7	.	.	X
iajs-2977	239	1	abid	abid	PROPN
iajs-2977	239	2	,	,	PUNCT
iajs-2977	239	3	s.a	s.a	PROPN
iajs-2977	239	4	.	.	PROPN
iajs-2977	239	5	,	,	PUNCT
iajs-2977	239	6	rk	rk	PROPN
iajs-2977	239	7	truncated	truncate	VERB
iajs-2977	239	8	fréchet	fréchet	NOUN
iajs-2977	239	9	-	-	PUNCT
iajs-2977	239	10	gamma	gamma	NOUN
iajs-2977	239	11	and	and	CCONJ
iajs-2977	239	12	inverted	inverted	ADJ
iajs-2977	239	13	gamma	gamma	NOUN
iajs-2977	239	14	distributions	distribution	NOUN
iajs-2977	239	15	.	.	PUNCT
iajs-2977	240	1	international	international	ADJ
iajs-2977	240	2	journal	journal	NOUN
iajs-2977	240	3	of	of	ADP
iajs-2977	240	4	scientific	scientific	ADJ
iajs-2977	240	5	world	world	NOUN
iajs-2977	240	6	,	,	PUNCT
iajs-2977	240	7	2017	2017	NUM
iajs-2977	240	8	.	.	PUNCT
iajs-2977	241	1	5(2	5(2	NUM
iajs-2977	241	2	):	):	PUNCT
iajs-2977	241	3	p.	p.	NOUN
iajs-2977	241	4	151	151	NUM
iajs-2977	241	5	-	-	SYM
iajs-2977	241	6	167	167	NUM
iajs-2977	241	7	.	.	PUNCT
iajs-2977	242	1	7	7	X
iajs-2977	242	2	.	.	X
iajs-2977	242	3	najarzadegan	najarzadegan	VERB
iajs-2977	242	4	,	,	PUNCT
iajs-2977	242	5	h.a	h.a	PROPN
iajs-2977	242	6	.	.	PROPN
iajs-2977	242	7	,	,	PUNCT
iajs-2977	242	8	mohammad	mohammad	PROPN
iajs-2977	242	9	hossein	hossein	PROPN
iajs-2977	242	10	hayati	hayati	PROPN
iajs-2977	242	11	,	,	PUNCT
iajs-2977	242	12	saied	saie	VERB
iajs-2977	242	13	truncated	truncated	ADJ
iajs-2977	242	14	weibull	weibull	PROPN
iajs-2977	242	15	-	-	PUNCT
iajs-2977	242	16	g	g	NOUN
iajs-2977	242	17	more	more	ADV
iajs-2977	242	18	flexible	flexible	ADJ
iajs-2977	242	19	and	and	CCONJ
iajs-2977	242	20	more	more	ADV
iajs-2977	242	21	reliable	reliable	ADJ
iajs-2977	242	22	than	than	ADP
iajs-2977	242	23	beta	beta	NOUN
iajs-2977	242	24	-	-	PUNCT
iajs-2977	242	25	g	g	NOUN
iajs-2977	242	26	distribution	distribution	NOUN
iajs-2977	242	27	.	.	PUNCT
iajs-2977	243	1	international	international	ADJ
iajs-2977	243	2	journal	journal	PROPN
iajs-2977	243	3	of	of	ADP
iajs-2977	243	4	statistics	statistic	NOUN
iajs-2977	243	5	probability	probability	PROPN
iajs-2977	243	6	2017	2017	NUM
iajs-2977	243	7	.	.	PUNCT
iajs-2977	244	1	6(5	6(5	NUM
iajs-2977	244	2	):	):	PUNCT
iajs-2977	245	1	p.	p.	NOUN
iajs-2977	245	2	1	1	NUM
iajs-2977	245	3	-	-	SYM
iajs-2977	245	4	17	17	NUM
iajs-2977	245	5	.	.	NOUN
iajs-2977	245	6	8	8	NUM
iajs-2977	245	7	.	.	PUNCT
iajs-2977	246	1	abid	abid	PROPN
iajs-2977	246	2	,	,	PUNCT
iajs-2977	246	3	s.a	s.a	PROPN
iajs-2977	246	4	.	.	PROPN
iajs-2977	246	5	,	,	PUNCT
iajs-2977	246	6	r	r	X
iajs-2977	246	7	,	,	PUNCT
iajs-2977	246	8	[	[	X
iajs-2977	246	9	0	0	NUM
iajs-2977	246	10	,	,	PUNCT
iajs-2977	246	11	1	1	NUM
iajs-2977	246	12	]	]	PUNCT
iajs-2977	246	13	truncated	truncated	ADJ
iajs-2977	246	14	frechet	frechet	PROPN
iajs-2977	246	15	-	-	PUNCT
iajs-2977	246	16	weibull	weibull	PROPN
iajs-2977	246	17	and	and	CCONJ
iajs-2977	246	18	frechet	frechet	NOUN
iajs-2977	246	19	distributions	distribution	NOUN
iajs-2977	246	20	.	.	PUNCT
iajs-2977	247	1	international	international	ADJ
iajs-2977	247	2	journal	journal	PROPN
iajs-2977	247	3	of	of	ADP
iajs-2977	247	4	research	research	NOUN
iajs-2977	247	5	in	in	ADP
iajs-2977	247	6	industrial	industrial	ADJ
iajs-2977	247	7	engineering	engineering	NOUN
iajs-2977	247	8	,	,	PUNCT
iajs-2977	247	9	2018	2018	NUM
iajs-2977	247	10	.	.	PUNCT
iajs-2977	248	1	7(1	7(1	NUM
iajs-2977	248	2	):	):	PUNCT
iajs-2977	248	3	p.	p.	NOUN
iajs-2977	248	4	106	106	NUM
iajs-2977	248	5	-	-	SYM
iajs-2977	248	6	135	135	NUM
iajs-2977	248	7	.	.	PUNCT
iajs-2977	249	1	ihjpas	ihjpas	PROPN
iajs-2977	249	2	.	.	PUNCT
iajs-2977	250	1	36	36	NUM
iajs-2977	250	2	(	(	PUNCT
iajs-2977	250	3	4	4	NUM
iajs-2977	250	4	)	)	PUNCT
iajs-2977	250	5	2023	2023	NUM
iajs-2977	250	6	427	427	NUM
iajs-2977	250	7	9	9	NUM
iajs-2977	250	8	.	.	PUNCT
iajs-2977	251	1	al	al	PROPN
iajs-2977	251	2	-	-	PUNCT
iajs-2977	251	3	marzouki	marzouki	PROPN
iajs-2977	251	4	,	,	PUNCT
iajs-2977	251	5	s.	s.	PROPN
iajs-2977	251	6	,	,	PUNCT
iajs-2977	251	7	truncated	truncate	VERB
iajs-2977	251	8	weibull	weibull	PROPN
iajs-2977	251	9	power	power	PROPN
iajs-2977	251	10	lomax	lomax	PROPN
iajs-2977	251	11	distribution	distribution	NOUN
iajs-2977	251	12	:	:	PUNCT
iajs-2977	251	13	statistical	statistical	ADJ
iajs-2977	251	14	properties	property	NOUN
iajs-2977	251	15	and	and	CCONJ
iajs-2977	251	16	applications	application	NOUN
iajs-2977	251	17	.	.	PUNCT
iajs-2977	252	1	journal	journal	PROPN
iajs-2977	252	2	of	of	ADP
iajs-2977	252	3	nonlinear	nonlinear	PROPN
iajs-2977	252	4	sciences	sciences	PROPN
iajs-2977	252	5	applications	application	NOUN
iajs-2977	252	6	2019	2019	NUM
iajs-2977	252	7	.	.	PUNCT
iajs-2977	253	1	12(8	12(8	X
iajs-2977	253	2	)	)	PUNCT
iajs-2977	253	3	.	.	PUNCT
iajs-2977	254	1	10	10	NUM
iajs-2977	254	2	.	.	PUNCT
iajs-2977	255	1	hussein	hussein	PROPN
iajs-2977	255	2	,	,	PUNCT
iajs-2977	255	3	h.m.a	h.m.a	NOUN
iajs-2977	255	4	.	.	PUNCT
iajs-2977	255	5	,	,	PUNCT
iajs-2977	255	6	assist	assist	VERB
iajs-2977	255	7	prof	prof	PROPN
iajs-2977	255	8	dr	dr	PROPN
iajs-2977	255	9	mohammed	mohammed	PROPN
iajs-2977	255	10	t	t	PROPN
iajs-2977	255	11	family	family	NOUN
iajs-2977	255	12	of	of	ADP
iajs-2977	255	13	[	[	X
iajs-2977	255	14	0	0	NUM
iajs-2977	255	15	,	,	PUNCT
iajs-2977	255	16	1	1	NUM
iajs-2977	255	17	]	]	PUNCT
iajs-2977	255	18	truncated	truncated	ADJ
iajs-2977	255	19	gompertz	gompertz	NOUN
iajs-2977	255	20	–	–	PUNCT
iajs-2977	255	21	exponential	exponential	ADJ
iajs-2977	255	22	distributionwith	distributionwith	NOUN
iajs-2977	255	23	properties	property	NOUN
iajs-2977	255	24	and	and	CCONJ
iajs-2977	255	25	application	application	NOUN
iajs-2977	255	26	.	.	PUNCT
iajs-2977	256	1	turkish	turkish	ADJ
iajs-2977	256	2	journal	journal	NOUN
iajs-2977	256	3	of	of	ADP
iajs-2977	256	4	computer	computer	NOUN
iajs-2977	256	5	mathematics	mathematic	NOUN
iajs-2977	256	6	education	education	NOUN
iajs-2977	256	7	2021	2021	NUM
iajs-2977	256	8	.	.	PUNCT
iajs-2977	257	1	12(14	12(14	NOUN
iajs-2977	257	2	):	):	PUNCT
iajs-2977	257	3	p.	p.	NOUN
iajs-2977	257	4	1383	1383	NUM
iajs-2977	257	5	-	-	SYM
iajs-2977	257	6	1399	1399	NUM
iajs-2977	257	7	.	.	PUNCT
iajs-2977	258	1	11	11	NUM
iajs-2977	258	2	.	.	PUNCT
iajs-2977	259	1	rattanalertnusorn	rattanalertnusorn	ADJ
iajs-2977	259	2	,	,	PUNCT
iajs-2977	259	3	a.a	a.a	PROPN
iajs-2977	259	4	.	.	PROPN
iajs-2977	259	5	,	,	PUNCT
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iajs-2977	259	7	the	the	DET
iajs-2977	259	8	zero	zero	NUM
iajs-2977	259	9	-	-	PUNCT
iajs-2977	259	10	truncated	truncate	VERB
iajs-2977	259	11	discrete	discrete	NOUN
iajs-2977	259	12	transmuted	transmute	VERB
iajs-2977	259	13	generalized	generalized	ADJ
iajs-2977	259	14	inverse	inverse	ADJ
iajs-2977	259	15	weibull	weibull	NOUN
iajs-2977	259	16	distribution	distribution	NOUN
iajs-2977	259	17	and	and	CCONJ
iajs-2977	259	18	its	its	PRON
iajs-2977	259	19	applications	application	NOUN
iajs-2977	259	20	.	.	PUNCT
iajs-2977	260	1	songklanakarin	songklanakarin	PROPN
iajs-2977	260	2	j.	j.	PROPN
iajs-2977	260	3	sci	sci	PROPN
iajs-2977	260	4	.	.	PUNCT
iajs-2977	260	5	tech	tech	PROPN
iajs-2977	260	6	,	,	PUNCT
iajs-2977	260	7	2020	2020	NUM
iajs-2977	260	8	.	.	PUNCT
iajs-2977	261	1	43	43	NUM
iajs-2977	261	2	:	:	PUNCT
iajs-2977	262	1	p.	p.	NOUN
iajs-2977	262	2	1140	1140	NUM
iajs-2977	262	3	-	-	SYM
iajs-2977	262	4	1151	1151	NUM
iajs-2977	262	5	.	.	PUNCT
iajs-2977	263	1	12	12	NUM
iajs-2977	263	2	.	.	PUNCT
iajs-2977	263	3	altawil	altawil	PROPN
iajs-2977	263	4	,	,	PUNCT
iajs-2977	263	5	j.	j.	PROPN
iajs-2977	263	6	,	,	PUNCT
iajs-2977	263	7	[	[	X
iajs-2977	263	8	0	0	NUM
iajs-2977	263	9	,	,	PUNCT
iajs-2977	263	10	1	1	NUM
iajs-2977	263	11	]	]	PUNCT
iajs-2977	263	12	truncated	truncated	ADJ
iajs-2977	263	13	lomax	lomax	PROPN
iajs-2977	263	14	–	–	PUNCT
iajs-2977	263	15	lomax	lomax	PROPN
iajs-2977	263	16	distribution	distribution	NOUN
iajs-2977	263	17	with	with	ADP
iajs-2977	263	18	properties	property	NOUN
iajs-2977	263	19	.	.	PUNCT
iajs-2977	264	1	journal	journal	PROPN
iajs-2977	264	2	of	of	ADP
iajs-2977	264	3	kufa	kufa	PROPN
iajs-2977	264	4	for	for	ADP
iajs-2977	264	5	mathematics	mathematics	NOUN
iajs-2977	264	6	computer	computer	NOUN
iajs-2977	264	7	2021	2021	NUM
iajs-2977	264	8	.	.	PUNCT
iajs-2977	265	1	8(1	8(1	NOUN
iajs-2977	265	2	):	):	PUNCT
iajs-2977	265	3	p.	p.	NOUN
iajs-2977	265	4	1	1	NUM
iajs-2977	265	5	-	-	SYM
iajs-2977	265	6	8	8	NUM
iajs-2977	265	7	.	.	NOUN
iajs-2977	265	8	13	13	NUM
iajs-2977	265	9	.	.	PUNCT
iajs-2977	266	1	raheem	raheem	PROPN
iajs-2977	266	2	,	,	PUNCT
iajs-2977	266	3	s.h	s.h	PROPN
iajs-2977	266	4	.	.	PROPN
iajs-2977	266	5	,	,	PUNCT
iajs-2977	266	6	et	et	PROPN
iajs-2977	266	7	al	al	PROPN
iajs-2977	266	8	.	.	PUNCT
iajs-2977	267	1	a	a	DET
iajs-2977	267	2	comparison	comparison	NOUN
iajs-2977	267	3	for	for	ADP
iajs-2977	267	4	some	some	PRON
iajs-2977	267	5	of	of	ADP
iajs-2977	267	6	the	the	DET
iajs-2977	267	7	estimation	estimation	NOUN
iajs-2977	267	8	methods	method	NOUN
iajs-2977	267	9	of	of	ADP
iajs-2977	267	10	the	the	DET
iajs-2977	267	11	parallel	parallel	ADJ
iajs-2977	267	12	stress	stress	NOUN
iajs-2977	267	13	-	-	PUNCT
iajs-2977	267	14	strength	strength	NOUN
iajs-2977	267	15	model	model	NOUN
iajs-2977	267	16	in	in	ADP
iajs-2977	267	17	the	the	DET
iajs-2977	267	18	case	case	NOUN
iajs-2977	267	19	of	of	ADP
iajs-2977	267	20	inverse	inverse	NOUN
iajs-2977	267	21	rayleigh	rayleigh	NOUN
iajs-2977	267	22	distribution	distribution	NOUN
iajs-2977	267	23	.	.	PUNCT
iajs-2977	268	1	in	in	ADP
iajs-2977	268	2	first	first	ADJ
iajs-2977	268	3	international	international	ADJ
iajs-2977	268	4	conference	conference	NOUN
iajs-2977	268	5	of	of	ADP
iajs-2977	268	6	computer	computer	NOUN
iajs-2977	268	7	and	and	CCONJ
iajs-2977	268	8	applied	apply	VERB
iajs-2977	268	9	sciences	science	NOUN
iajs-2977	268	10	(	(	PUNCT
iajs-2977	268	11	cas	cas	PROPN
iajs-2977	268	12	)	)	PUNCT
iajs-2977	268	13	.	.	PUNCT
iajs-2977	268	14	2019	2019	NUM
iajs-2977	268	15	.	.	PUNCT
iajs-2977	268	16	ieee	ieee	PROPN
iajs-2977	268	17	.	.	PUNCT
iajs-2977	269	1	14	14	NUM
iajs-2977	269	2	.	.	PUNCT
iajs-2977	270	1	al	al	PROPN
iajs-2977	270	2	-	-	PUNCT
iajs-2977	270	3	noor	noor	PROPN
iajs-2977	270	4	,	,	PUNCT
iajs-2977	270	5	n.a	n.a	PROPN
iajs-2977	270	6	.	.	PROPN
iajs-2977	270	7	,	,	PUNCT
iajs-2977	270	8	nk	nk	PROPN
iajs-2977	270	9	.	.	PUNCT
iajs-2977	270	10	rayleigh	rayleigh	PROPN
iajs-2977	270	11	-	-	PUNCT
iajs-2977	270	12	rayleigh	rayleigh	PROPN
iajs-2977	270	13	distribution	distribution	NOUN
iajs-2977	270	14	:	:	PUNCT
iajs-2977	270	15	properties	property	NOUN
iajs-2977	270	16	and	and	CCONJ
iajs-2977	270	17	applications	application	NOUN
iajs-2977	270	18	.	.	PUNCT
iajs-2977	271	1	in	in	ADP
iajs-2977	271	2	journal	journal	PROPN
iajs-2977	271	3	of	of	ADP
iajs-2977	271	4	physics	physics	PROPN
iajs-2977	271	5	:	:	PUNCT
iajs-2977	271	6	conference	conference	NOUN
iajs-2977	271	7	series	series	NOUN
iajs-2977	271	8	.	.	PUNCT
iajs-2977	272	1	2020	2020	NUM
iajs-2977	272	2	.	.	PUNCT
iajs-2977	273	1	iop	iop	NOUN
iajs-2977	273	2	publishing	publishing	NOUN
iajs-2977	273	3	.	.	PUNCT
iajs-2977	274	1	15	15	X
iajs-2977	274	2	.	.	X
iajs-2977	275	1	khan	khan	PROPN
iajs-2977	275	2	,	,	PUNCT
iajs-2977	275	3	m.s.k	m.s.k	ADV
iajs-2977	275	4	.	.	PUNCT
iajs-2977	275	5	,	,	PUNCT
iajs-2977	275	6	robert	robert	PROPN
iajs-2977	275	7	hudson	hudson	PROPN
iajs-2977	275	8	,	,	PUNCT
iajs-2977	275	9	irene	irene	VERB
iajs-2977	275	10	a	a	DET
iajs-2977	275	11	new	new	ADJ
iajs-2977	275	12	three	three	NUM
iajs-2977	275	13	parameter	parameter	NOUN
iajs-2977	275	14	transmuted	transmute	VERB
iajs-2977	275	15	chen	chen	PROPN
iajs-2977	275	16	lifetime	lifetime	NOUN
iajs-2977	275	17	distribution	distribution	NOUN
iajs-2977	275	18	with	with	ADP
iajs-2977	275	19	application	application	NOUN
iajs-2977	275	20	.	.	PUNCT
iajs-2977	276	1	journal	journal	PROPN
iajs-2977	276	2	of	of	ADP
iajs-2977	276	3	applied	apply	VERB
iajs-2977	276	4	statistical	statistical	ADJ
iajs-2977	276	5	science	science	NOUN
iajs-2977	276	6	,	,	PUNCT
iajs-2977	276	7	2013	2013	NUM
iajs-2977	276	8	.	.	PUNCT
iajs-2977	277	1	21(3	21(3	NUM
iajs-2977	277	2	):	):	PUNCT
iajs-2977	277	3	p.	p.	NOUN
iajs-2977	277	4	239	239	NUM
iajs-2977	277	5	.	.	PUNCT
iajs-2977	278	1	16	16	NUM
iajs-2977	278	2	.	.	PUNCT
iajs-2977	279	1	gomes	gome	NOUN
iajs-2977	279	2	,	,	PUNCT
iajs-2977	279	3	a.e	a.e	PROPN
iajs-2977	279	4	.	.	PROPN
iajs-2977	279	5	,	,	PUNCT
iajs-2977	279	6	et	et	PROPN
iajs-2977	279	7	al	al	PROPN
iajs-2977	279	8	.	.	PROPN
iajs-2977	279	9	,	,	PUNCT
iajs-2977	279	10	a	a	DET
iajs-2977	279	11	new	new	ADJ
iajs-2977	279	12	lifetime	lifetime	NOUN
iajs-2977	279	13	model	model	NOUN
iajs-2977	279	14	:	:	PUNCT
iajs-2977	279	15	the	the	DET
iajs-2977	279	16	kumaraswamy	kumaraswamy	NOUN
iajs-2977	279	17	generalized	generalize	VERB
iajs-2977	279	18	rayleigh	rayleigh	NOUN
iajs-2977	279	19	distribution	distribution	NOUN
iajs-2977	279	20	.	.	PUNCT
iajs-2977	280	1	journal	journal	NOUN
iajs-2977	280	2	of	of	ADP
iajs-2977	280	3	statistical	statistical	ADJ
iajs-2977	280	4	computation	computation	NOUN
iajs-2977	280	5	simulation	simulation	NOUN
iajs-2977	280	6	,	,	PUNCT
iajs-2977	280	7	2014	2014	NUM
iajs-2977	280	8	.	.	PUNCT
iajs-2977	281	1	84(2	84(2	NUM
iajs-2977	281	2	):	):	PUNCT
iajs-2977	282	1	p.	p.	NOUN
iajs-2977	282	2	290	290	NUM
iajs-2977	282	3	-	-	SYM
iajs-2977	282	4	309	309	NUM
iajs-2977	282	5	.	.	PUNCT
iajs-2977	283	1	17	17	NUM
iajs-2977	283	2	.	.	X
iajs-2977	284	1	cordeiro	cordeiro	PROPN
iajs-2977	284	2	,	,	PUNCT
iajs-2977	284	3	g.m	g.m	PROPN
iajs-2977	284	4	.	.	PROPN
iajs-2977	284	5	,	,	PUNCT
iajs-2977	284	6	et	et	PROPN
iajs-2977	284	7	al	al	PROPN
iajs-2977	284	8	.	.	PROPN
iajs-2977	284	9	,	,	PUNCT
iajs-2977	284	10	the	the	DET
iajs-2977	284	11	beta	beta	NOUN
iajs-2977	284	12	generalized	generalize	VERB
iajs-2977	284	13	rayleigh	rayleigh	NOUN
iajs-2977	284	14	distribution	distribution	NOUN
iajs-2977	284	15	with	with	ADP
iajs-2977	284	16	applications	application	NOUN
iajs-2977	284	17	to	to	ADP
iajs-2977	284	18	lifetime	lifetime	NOUN
iajs-2977	284	19	data	datum	NOUN
iajs-2977	284	20	.	.	PUNCT
iajs-2977	285	1	statistical	statistical	ADJ
iajs-2977	285	2	papers	paper	NOUN
iajs-2977	285	3	,	,	PUNCT
iajs-2977	285	4	2013	2013	NUM
iajs-2977	285	5	.	.	PUNCT
iajs-2977	286	1	54	54	NUM
iajs-2977	286	2	:	:	PUNCT
iajs-2977	287	1	p.	p.	NOUN
iajs-2977	287	2	133	133	NUM
iajs-2977	287	3	-	-	SYM
iajs-2977	287	4	161	161	NUM
iajs-2977	287	5	.	.	PUNCT
iajs-2977	287	6	18	18	NUM
iajs-2977	287	7	.	.	PUNCT
iajs-2977	288	1	ahmad	ahmad	PROPN
iajs-2977	288	2	,	,	PUNCT
iajs-2977	288	3	a.	a.	PROPN
iajs-2977	288	4	,	,	PUNCT
iajs-2977	288	5	s.	s.	PROPN
iajs-2977	288	6	ahmad	ahmad	PROPN
iajs-2977	288	7	,	,	PUNCT
iajs-2977	288	8	and	and	CCONJ
iajs-2977	288	9	a.	a.	PROPN
iajs-2977	288	10	ahmed	ahmed	PROPN
iajs-2977	288	11	,	,	PUNCT
iajs-2977	288	12	transmuted	transmute	VERB
iajs-2977	288	13	inverse	inverse	ADJ
iajs-2977	288	14	rayleigh	rayleigh	NOUN
iajs-2977	288	15	distribution	distribution	NOUN
iajs-2977	288	16	:	:	PUNCT
iajs-2977	288	17	a	a	DET
iajs-2977	288	18	generalization	generalization	NOUN
iajs-2977	288	19	of	of	ADP
iajs-2977	288	20	the	the	DET
iajs-2977	288	21	inverse	inverse	ADJ
iajs-2977	288	22	rayleigh	rayleigh	NOUN
iajs-2977	288	23	distribution	distribution	NOUN
iajs-2977	288	24	.	.	PUNCT
iajs-2977	289	1	mathematical	mathematical	ADJ
iajs-2977	289	2	theory	theory	NOUN
iajs-2977	289	3	modeling	modeling	NOUN
iajs-2977	289	4	,	,	PUNCT
iajs-2977	289	5	2014	2014	NUM
iajs-2977	289	6	.	.	PUNCT
iajs-2977	290	1	4(7	4(7	NUM
iajs-2977	290	2	):	):	PUNCT
iajs-2977	291	1	p.	p.	NOUN
iajs-2977	291	2	90	90	NUM
iajs-2977	291	3	-	-	SYM
iajs-2977	291	4	98	98	NUM
iajs-2977	291	5	.	.	PUNCT
iajs-2977	291	6	19	19	NUM
iajs-2977	291	7	.	.	PUNCT
iajs-2977	292	1	ahmed	ahmed	PROPN
iajs-2977	292	2	,	,	PUNCT
iajs-2977	292	3	z.	z.	PROPN
iajs-2977	292	4	,	,	PUNCT
iajs-2977	292	5	z.m	z.m	PROPN
iajs-2977	292	6	.	.	PROPN
iajs-2977	292	7	nofal	nofal	PROPN
iajs-2977	292	8	,	,	PUNCT
iajs-2977	292	9	and	and	CCONJ
iajs-2977	292	10	n.e	n.e	PROPN
iajs-2977	292	11	.	.	PROPN
iajs-2977	293	1	abd	abd	PROPN
iajs-2977	293	2	el	el	PROPN
iajs-2977	293	3	hadi	hadi	PROPN
iajs-2977	293	4	,	,	PUNCT
iajs-2977	293	5	exponentiated	exponentiate	VERB
iajs-2977	293	6	transmuted	transmute	VERB
iajs-2977	293	7	generalized	generalized	ADJ
iajs-2977	293	8	raleigh	raleigh	NOUN
iajs-2977	293	9	distribution	distribution	NOUN
iajs-2977	293	10	:	:	PUNCT
iajs-2977	293	11	a	a	DET
iajs-2977	293	12	new	new	ADJ
iajs-2977	293	13	four	four	NUM
iajs-2977	293	14	parameter	parameter	NOUN
iajs-2977	293	15	rayleigh	rayleigh	NOUN
iajs-2977	293	16	distribution	distribution	NOUN
iajs-2977	293	17	.	.	PUNCT
iajs-2977	294	1	pakistan	pakistan	PROPN
iajs-2977	294	2	journal	journal	PROPN
iajs-2977	294	3	of	of	ADP
iajs-2977	294	4	statistics	statistics	PROPN
iajs-2977	294	5	operation	operation	PROPN
iajs-2977	294	6	research	research	PROPN
iajs-2977	294	7	2015	2015	NUM
iajs-2977	294	8	:	:	PUNCT
iajs-2977	295	1	p.	p.	NOUN
iajs-2977	295	2	115	115	NUM
iajs-2977	295	3	-	-	SYM
iajs-2977	295	4	134	134	NUM
iajs-2977	295	5	.	.	NOUN
iajs-2977	295	6	20	20	NUM
iajs-2977	295	7	.	.	PUNCT
iajs-2977	296	1	merovci	merovci	PROPN
iajs-2977	296	2	,	,	PUNCT
iajs-2977	296	3	f.	f.	PROPN
iajs-2977	296	4	and	and	CCONJ
iajs-2977	296	5	i.	i.	PROPN
iajs-2977	296	6	elbatal	elbatal	PROPN
iajs-2977	296	7	,	,	PUNCT
iajs-2977	296	8	weibull	weibull	PROPN
iajs-2977	296	9	rayleigh	rayleigh	PROPN
iajs-2977	296	10	distribution	distribution	NOUN
iajs-2977	296	11	:	:	PUNCT
iajs-2977	296	12	theory	theory	NOUN
iajs-2977	296	13	and	and	CCONJ
iajs-2977	296	14	applications	application	NOUN
iajs-2977	296	15	.	.	PUNCT
iajs-2977	297	1	appl	appl	PROPN
iajs-2977	297	2	.	.	PROPN
iajs-2977	298	1	math	math	PROPN
iajs-2977	298	2	.	.	PUNCT
iajs-2977	299	1	inf	inf	PROPN
iajs-2977	299	2	.	.	PUNCT
iajs-2977	300	1	sci	sci	PROPN
iajs-2977	300	2	,	,	PUNCT
iajs-2977	300	3	2015	2015	NUM
iajs-2977	300	4	.	.	PUNCT
iajs-2977	301	1	9(5	9(5	NUM
iajs-2977	301	2	):	):	PUNCT
iajs-2977	301	3	p.	p.	NOUN
iajs-2977	301	4	1	1	NUM
iajs-2977	301	5	-	-	SYM
iajs-2977	301	6	11	11	NUM
iajs-2977	301	7	.	.	PUNCT
iajs-2977	301	8	21	21	NUM
iajs-2977	301	9	.	.	PUNCT
iajs-2977	302	1	iriarte	iriarte	NOUN
iajs-2977	302	2	,	,	PUNCT
iajs-2977	302	3	y.a	y.a	PROPN
iajs-2977	302	4	.	.	PROPN
iajs-2977	302	5	,	,	PUNCT
iajs-2977	302	6	et	et	PROPN
iajs-2977	302	7	al	al	PROPN
iajs-2977	302	8	.	.	PROPN
iajs-2977	302	9	,	,	PUNCT
iajs-2977	302	10	slashed	slash	VERB
iajs-2977	302	11	generalized	generalize	VERB
iajs-2977	302	12	rayleigh	rayleigh	NOUN
iajs-2977	302	13	distribution	distribution	NOUN
iajs-2977	302	14	.	.	PUNCT
iajs-2977	303	1	communications	communication	NOUN
iajs-2977	303	2	in	in	ADP
iajs-2977	303	3	statistics	statistic	NOUN
iajs-2977	303	4	-	-	PUNCT
iajs-2977	303	5	theory	theory	NOUN
iajs-2977	303	6	methods	method	NOUN
iajs-2977	303	7	,	,	PUNCT
iajs-2977	303	8	2017	2017	NUM
iajs-2977	303	9	.	.	PUNCT
iajs-2977	304	1	46(10	46(10	NUM
iajs-2977	304	2	):	):	PUNCT
iajs-2977	304	3	p.	p.	NOUN
iajs-2977	304	4	4686	4686	NUM
iajs-2977	304	5	-	-	SYM
iajs-2977	304	6	4699	4699	NUM
iajs-2977	304	7	.	.	PUNCT
iajs-2977	305	1	22	22	NUM
iajs-2977	305	2	.	.	PUNCT
iajs-2977	306	1	sarhan	sarhan	PROPN
iajs-2977	306	2	,	,	PUNCT
iajs-2977	306	3	a.	a.	NOUN
iajs-2977	306	4	,	,	PUNCT
iajs-2977	306	5	the	the	DET
iajs-2977	306	6	bivariate	bivariate	ADJ
iajs-2977	306	7	generalized	generalized	ADJ
iajs-2977	306	8	rayleigh	rayleigh	NOUN
iajs-2977	306	9	distribution	distribution	NOUN
iajs-2977	306	10	.	.	PUNCT
iajs-2977	307	1	journal	journal	PROPN
iajs-2977	307	2	of	of	ADP
iajs-2977	307	3	mathematical	mathematical	ADJ
iajs-2977	307	4	sciences	science	NOUN
iajs-2977	307	5	modelling	model	VERB
iajs-2977	307	6	2019	2019	NUM
iajs-2977	307	7	.	.	PUNCT
iajs-2977	308	1	2(2	2(2	NUM
iajs-2977	308	2	):	):	PUNCT
iajs-2977	309	1	p.	p.	NOUN
iajs-2977	309	2	99	99	NUM
iajs-2977	309	3	-	-	SYM
iajs-2977	309	4	111	111	NUM
iajs-2977	309	5	.	.	PUNCT
iajs-2977	309	6	23	23	NUM
iajs-2977	309	7	.	.	PUNCT
iajs-2977	310	1	ul	ul	PROPN
iajs-2977	310	2	haq	haq	PROPN
iajs-2977	310	3	,	,	PUNCT
iajs-2977	310	4	m.a	m.a	PROPN
iajs-2977	310	5	.	.	PROPN
iajs-2977	310	6	,	,	PUNCT
iajs-2977	310	7	transmuted	transmute	VERB
iajs-2977	310	8	exponentiated	exponentiated	ADJ
iajs-2977	310	9	inverse	inverse	ADJ
iajs-2977	310	10	rayleigh	rayleigh	NOUN
iajs-2977	310	11	distribution	distribution	NOUN
iajs-2977	310	12	.	.	PUNCT
iajs-2977	311	1	j.	j.	PROPN
iajs-2977	311	2	stat	stat	PROPN
iajs-2977	311	3	.	.	PUNCT
iajs-2977	312	1	appl	appl	PROPN
iajs-2977	312	2	.	.	PUNCT
iajs-2977	313	1	prob	prob	PROPN
iajs-2977	313	2	,	,	PUNCT
iajs-2977	313	3	2016	2016	NUM
iajs-2977	313	4	.	.	PUNCT
iajs-2977	314	1	5(2	5(2	NUM
iajs-2977	314	2	):	):	PUNCT
iajs-2977	314	3	p.	p.	NOUN
iajs-2977	314	4	337	337	NUM
iajs-2977	314	5	-	-	SYM
iajs-2977	314	6	343	343	NUM
iajs-2977	314	7	.	.	PUNCT
iajs-2977	315	1	24	24	NUM
iajs-2977	315	2	.	.	PUNCT
iajs-2977	316	1	potdar	potdar	NOUN
iajs-2977	316	2	,	,	PUNCT
iajs-2977	316	3	k.	k.	PROPN
iajs-2977	316	4	and	and	CCONJ
iajs-2977	316	5	d.	d.	PROPN
iajs-2977	316	6	shirke	shirke	PROPN
iajs-2977	316	7	.	.	PUNCT
iajs-2977	317	1	inference	inference	NOUN
iajs-2977	317	2	for	for	ADP
iajs-2977	317	3	the	the	DET
iajs-2977	317	4	parameters	parameter	NOUN
iajs-2977	317	5	of	of	ADP
iajs-2977	317	6	generalized	generalized	ADJ
iajs-2977	317	7	inverted	inverted	ADJ
iajs-2977	317	8	family	family	NOUN
iajs-2977	317	9	of	of	ADP
iajs-2977	317	10	distributions	distribution	NOUN
iajs-2977	317	11	.	.	PUNCT
iajs-2977	318	1	in	in	ADP
iajs-2977	318	2	probstat	probstat	PROPN
iajs-2977	318	3	forum	forum	PROPN
iajs-2977	318	4	.	.	PUNCT
iajs-2977	319	1	2013	2013	NUM
iajs-2977	319	2	.	.	PUNCT
iajs-2977	320	1	25	25	NUM
iajs-2977	320	2	.	.	PUNCT
iajs-2977	321	1	gupta	gupta	PROPN
iajs-2977	321	2	,	,	PUNCT
iajs-2977	321	3	r.c	r.c	PROPN
iajs-2977	321	4	.	.	PROPN
iajs-2977	321	5	,	,	PUNCT
iajs-2977	321	6	p.l	p.l	PROPN
iajs-2977	321	7	.	.	PROPN
iajs-2977	321	8	gupta	gupta	PROPN
iajs-2977	321	9	,	,	PUNCT
iajs-2977	321	10	and	and	CCONJ
iajs-2977	321	11	r.d	r.d	PROPN
iajs-2977	321	12	.	.	PROPN
iajs-2977	321	13	gupta	gupta	PROPN
iajs-2977	321	14	,	,	PUNCT
iajs-2977	321	15	modeling	model	VERB
iajs-2977	321	16	failure	failure	NOUN
iajs-2977	321	17	time	time	NOUN
iajs-2977	321	18	data	datum	NOUN
iajs-2977	321	19	by	by	ADP
iajs-2977	321	20	lehman	lehman	PROPN
iajs-2977	321	21	alternatives	alternative	NOUN
iajs-2977	321	22	.	.	PUNCT
iajs-2977	322	1	communications	communication	NOUN
iajs-2977	322	2	in	in	ADP
iajs-2977	322	3	statistics	statistic	NOUN
iajs-2977	322	4	-	-	PUNCT
iajs-2977	322	5	theory	theory	NOUN
iajs-2977	322	6	methods	method	NOUN
iajs-2977	322	7	,	,	PUNCT
iajs-2977	322	8	1998	1998	NUM
iajs-2977	322	9	.	.	PUNCT
iajs-2977	323	1	27(4	27(4	X
iajs-2977	323	2	):	):	PUNCT
iajs-2977	323	3	p.	p.	NOUN
iajs-2977	323	4	887	887	NUM
iajs-2977	323	5	-	-	SYM
iajs-2977	323	6	904	904	NUM
iajs-2977	323	7	.	.	PUNCT
iajs-2977	324	1	26	26	NUM
iajs-2977	324	2	.	.	PUNCT
iajs-2977	325	1	mudholkar	mudholkar	PROPN
iajs-2977	325	2	,	,	PUNCT
iajs-2977	325	3	g.s	g.s	PROPN
iajs-2977	325	4	.	.	PROPN
iajs-2977	325	5	,	,	PUNCT
iajs-2977	325	6	d.k	d.k	PROPN
iajs-2977	325	7	.	.	PROPN
iajs-2977	325	8	srivastava	srivastava	PROPN
iajs-2977	325	9	,	,	PUNCT
iajs-2977	325	10	and	and	CCONJ
iajs-2977	325	11	m.	m.	PROPN
iajs-2977	325	12	freimer	freimer	PROPN
iajs-2977	325	13	,	,	PUNCT
iajs-2977	325	14	the	the	DET
iajs-2977	325	15	exponentiated	exponentiated	ADJ
iajs-2977	325	16	weibull	weibull	PROPN
iajs-2977	325	17	family	family	PROPN
iajs-2977	325	18	:	:	PUNCT
iajs-2977	325	19	a	a	DET
iajs-2977	325	20	reanalysis	reanalysis	NOUN
iajs-2977	325	21	of	of	ADP
iajs-2977	325	22	the	the	DET
iajs-2977	325	23	bus	bus	NOUN
iajs-2977	325	24	-	-	PUNCT
iajs-2977	325	25	motor	motor	NOUN
iajs-2977	325	26	-	-	PUNCT
iajs-2977	325	27	failure	failure	NOUN
iajs-2977	325	28	data	datum	NOUN
iajs-2977	325	29	.	.	PUNCT
iajs-2977	326	1	technometrics	technometric	NOUN
iajs-2977	326	2	,	,	PUNCT
iajs-2977	326	3	1995	1995	NUM
iajs-2977	326	4	.	.	PUNCT
iajs-2977	327	1	37(4	37(4	X
iajs-2977	327	2	):	):	PUNCT
iajs-2977	327	3	p.	p.	NOUN
iajs-2977	327	4	436	436	NUM
iajs-2977	327	5	-	-	SYM
iajs-2977	327	6	445	445	NUM
iajs-2977	327	7	.	.	PUNCT
iajs-2977	328	1	27	27	NUM
iajs-2977	328	2	.	.	PUNCT
iajs-2977	329	1	nadarajah	nadarajah	PROPN
iajs-2977	329	2	,	,	PUNCT
iajs-2977	329	3	s.	s.	PROPN
iajs-2977	329	4	and	and	CCONJ
iajs-2977	329	5	s.	s.	PROPN
iajs-2977	329	6	kotz	kotz	PROPN
iajs-2977	329	7	,	,	PUNCT
iajs-2977	329	8	the	the	DET
iajs-2977	329	9	exponentiated	exponentiated	ADJ
iajs-2977	329	10	type	type	NOUN
iajs-2977	329	11	distributions	distribution	NOUN
iajs-2977	329	12	.	.	PUNCT
iajs-2977	330	1	acta	acta	PROPN
iajs-2977	330	2	applicandae	applicandae	PROPN
iajs-2977	330	3	mathematica	mathematica	PROPN
iajs-2977	330	4	,	,	PUNCT
iajs-2977	330	5	2006	2006	NUM
iajs-2977	330	6	.	.	PUNCT
iajs-2977	331	1	92	92	NUM
iajs-2977	331	2	:	:	PUNCT
iajs-2977	331	3	p.	p.	NOUN
iajs-2977	331	4	97	97	NUM
iajs-2977	331	5	-	-	SYM
iajs-2977	331	6	111	111	NUM
iajs-2977	331	7	.	.	PUNCT
iajs-2977	331	8	28	28	NUM
iajs-2977	331	9	.	.	PUNCT
iajs-2977	332	1	mudholkar	mudholkar	PROPN
iajs-2977	332	2	,	,	PUNCT
iajs-2977	332	3	g.s	g.s	PROPN
iajs-2977	332	4	.	.	PROPN
iajs-2977	332	5	and	and	CCONJ
iajs-2977	332	6	d.k	d.k	PROPN
iajs-2977	332	7	.	.	PROPN
iajs-2977	332	8	srivastava	srivastava	PROPN
iajs-2977	332	9	,	,	PUNCT
iajs-2977	332	10	exponentiated	exponentiate	VERB
iajs-2977	332	11	weibull	weibull	PROPN
iajs-2977	332	12	family	family	PROPN
iajs-2977	332	13	for	for	ADP
iajs-2977	332	14	analyzing	analyze	VERB
iajs-2977	332	15	bathtub	bathtub	ADJ
iajs-2977	332	16	failure	failure	NOUN
iajs-2977	332	17	-	-	PUNCT
iajs-2977	332	18	rate	rate	NOUN
iajs-2977	332	19	data	datum	NOUN
iajs-2977	332	20	.	.	PUNCT
iajs-2977	333	1	ieee	ieee	NOUN
iajs-2977	333	2	transactions	transaction	NOUN
iajs-2977	333	3	on	on	ADP
iajs-2977	333	4	reliability	reliability	NOUN
iajs-2977	333	5	,	,	PUNCT
iajs-2977	333	6	1993	1993	NUM
iajs-2977	333	7	.	.	PUNCT
iajs-2977	334	1	42(2	42(2	NUM
iajs-2977	334	2	):	):	PUNCT
iajs-2977	334	3	p.	p.	NOUN
iajs-2977	334	4	299	299	NUM
iajs-2977	334	5	-	-	SYM
iajs-2977	334	6	302	302	NUM
iajs-2977	334	7	.	.	PUNCT
iajs-2977	334	8	ihjpas	ihjpas	PROPN
iajs-2977	334	9	.	.	PUNCT
iajs-2977	335	1	36	36	NUM
iajs-2977	335	2	(	(	PUNCT
iajs-2977	335	3	4	4	NUM
iajs-2977	335	4	)	)	PUNCT
iajs-2977	335	5	2023	2023	NUM
iajs-2977	335	6	428	428	NUM
iajs-2977	335	7	29	29	NUM
iajs-2977	335	8	.	.	PUNCT
iajs-2977	336	1	jebur	jebur	PROPN
iajs-2977	336	2	,	,	PUNCT
iajs-2977	336	3	i.g	i.g	PROPN
iajs-2977	336	4	.	.	PROPN
iajs-2977	336	5	,	,	PUNCT
iajs-2977	336	6	b.a	b.a	PROPN
iajs-2977	336	7	.	.	PROPN
iajs-2977	336	8	kalaf	kalaf	PROPN
iajs-2977	336	9	,	,	PUNCT
iajs-2977	336	10	and	and	CCONJ
iajs-2977	336	11	a.n	a.n	PROPN
iajs-2977	336	12	.	.	PROPN
iajs-2977	336	13	salman	salman	PROPN
iajs-2977	336	14	.	.	PUNCT
iajs-2977	337	1	an	an	DET
iajs-2977	337	2	efficient	efficient	ADJ
iajs-2977	337	3	shrinkage	shrinkage	NOUN
iajs-2977	337	4	estimators	estimator	NOUN
iajs-2977	337	5	for	for	ADP
iajs-2977	337	6	generalized	generalized	ADJ
iajs-2977	337	7	inverse	inverse	NOUN
iajs-2977	337	8	rayleigh	rayleigh	NOUN
iajs-2977	337	9	distribution	distribution	NOUN
iajs-2977	337	10	based	base	VERB
iajs-2977	337	11	on	on	ADP
iajs-2977	337	12	bounded	bounded	ADJ
iajs-2977	337	13	and	and	CCONJ
iajs-2977	337	14	series	series	VERB
iajs-2977	337	15	stress	stress	NOUN
iajs-2977	337	16	-	-	PUNCT
iajs-2977	337	17	strength	strength	NOUN
iajs-2977	337	18	models	model	NOUN
iajs-2977	337	19	.	.	PUNCT
iajs-2977	338	1	in	in	ADP
iajs-2977	338	2	journal	journal	PROPN
iajs-2977	338	3	of	of	ADP
iajs-2977	338	4	physics	physics	PROPN
iajs-2977	338	5	:	:	PUNCT
iajs-2977	338	6	conference	conference	NOUN
iajs-2977	338	7	series	series	NOUN
iajs-2977	338	8	.	.	PUNCT
iajs-2977	338	9	2021	2021	NUM
iajs-2977	338	10	.	.	PUNCT
iajs-2977	339	1	iop	iop	NOUN
iajs-2977	339	2	publishing	publishing	NOUN
iajs-2977	339	3	.	.	PUNCT
iajs-2977	340	1	30	30	NUM
iajs-2977	340	2	.	.	PUNCT
iajs-2977	341	1	aryuyuen	aryuyuen	PROPN
iajs-2977	341	2	,	,	PUNCT
iajs-2977	341	3	s.b	s.b	PROPN
iajs-2977	341	4	.	.	PROPN
iajs-2977	341	5	,	,	PUNCT
iajs-2977	341	6	winai	winai	VERB
iajs-2977	341	7	the	the	DET
iajs-2977	341	8	truncated	truncated	ADJ
iajs-2977	341	9	power	power	NOUN
iajs-2977	341	10	lomax	lomax	PROPN
iajs-2977	341	11	distribution	distribution	NOUN
iajs-2977	341	12	:	:	PUNCT
iajs-2977	341	13	properties	property	NOUN
iajs-2977	341	14	and	and	CCONJ
iajs-2977	341	15	applications	application	NOUN
iajs-2977	341	16	.	.	PUNCT
iajs-2977	342	1	walailak	walailak	ADJ
iajs-2977	342	2	journal	journal	NOUN
iajs-2977	342	3	of	of	ADP
iajs-2977	342	4	science	science	NOUN
iajs-2977	342	5	technology	technology	PROPN
iajs-2977	342	6	2019	2019	NUM
iajs-2977	342	7	.	.	PUNCT
iajs-2977	343	1	16(9	16(9	NUM
iajs-2977	343	2	):	):	PUNCT
iajs-2977	344	1	p.	p.	NOUN
iajs-2977	344	2	655	655	NUM
iajs-2977	344	3	-	-	SYM
iajs-2977	344	4	668	668	NUM
iajs-2977	344	5	.	.	PUNCT