id	sid	tid	token	lemma	pos
cana-4128	1	1	communications	communication	NOUN
cana-4128	1	2	on	on	ADP
cana-4128	1	3	applied	apply	VERB
cana-4128	1	4	nonlinear	nonlinear	ADJ
cana-4128	1	5	analysis	analysis	NOUN
cana-4128	1	6	issn	issn	NOUN
cana-4128	1	7	:	:	PUNCT
cana-4128	1	8	1074	1074	NUM
cana-4128	1	9	-	-	PUNCT
cana-4128	1	10	133x	133x	NUM
cana-4128	1	11	vol	vol	NOUN
cana-4128	1	12	32	32	NUM
cana-4128	1	13	no	no	NOUN
cana-4128	1	14	.	.	PUNCT
cana-4128	2	1	9s	9s	NUM
cana-4128	2	2	(	(	PUNCT
cana-4128	2	3	2025	2025	NUM
cana-4128	2	4	)	)	PUNCT
cana-4128	2	5	1224	1224	NUM
cana-4128	2	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4128	2	7	finite	finite	VERB
cana-4128	2	8	range	range	NOUN
cana-4128	2	9	probability	probability	NOUN
cana-4128	2	10	distribution	distribution	NOUN
cana-4128	2	11	for	for	ADP
cana-4128	2	12	reliability	reliability	NOUN
cana-4128	2	13	theory	theory	NOUN
cana-4128	2	14	and	and	CCONJ
cana-4128	2	15	theoretical	theoretical	ADJ
cana-4128	2	16	physics	physics	PROPN
cana-4128	2	17	musallam	musallam	PROPN
cana-4128	2	18	𝐓𝐚𝐛𝐨𝐨𝐤𝟏	𝐓𝐚𝐛𝐨𝐨𝐤𝟏	PROPN
cana-4128	2	19	,	,	PUNCT
cana-4128	2	20	masood	masood	PROPN
cana-4128	2	21	𝐀𝐥𝐚𝐦𝟐	𝐀𝐥𝐚𝐦𝟐	PROPN
cana-4128	2	22	,	,	PUNCT
cana-4128	2	23	sabir	sabir	PROPN
cana-4128	2	24	ali	ali	PROPN
cana-4128	2	25	𝐒𝐢𝐝𝐝𝐢𝐪𝐮𝐢𝟑	𝐒𝐢𝐝𝐝𝐢𝐪𝐮𝐢𝟑	PROPN
cana-4128	2	26	,	,	PUNCT
cana-4128	2	27	shradha	shradha	PROPN
cana-4128	2	28	𝐃𝐰𝐢𝐯𝐞𝐝𝐢𝟒	𝐃𝐰𝐢𝐯𝐞𝐝𝐢𝟒	PROPN
cana-4128	2	29	,	,	PUNCT
cana-4128	2	30	sameen	sameen	PROPN
cana-4128	2	31	ahmed	ahmed	PROPN
cana-4128	2	32	𝐊𝐡𝐚𝐧𝟓	𝐊𝐡𝐚𝐧𝟓	PROPN
cana-4128	2	33	and	and	CCONJ
cana-4128	2	34	awdhesh	awdhesh	NOUN
cana-4128	2	35	𝐏𝐚𝐧𝐝𝐞𝐲𝟔	𝐏𝐚𝐧𝐝𝐞𝐲𝟔	PROPN
cana-4128	2	36	1,3,5	1,3,5	NUM
cana-4128	2	37	:	:	PUNCT
cana-4128	2	38	department	department	NOUN
cana-4128	2	39	of	of	ADP
cana-4128	2	40	mathematics	mathematics	PROPN
cana-4128	2	41	and	and	CCONJ
cana-4128	2	42	sciences	science	NOUN
cana-4128	2	43	,	,	PUNCT
cana-4128	2	44	dhofar	dhofar	ADJ
cana-4128	2	45	university	university	PROPN
cana-4128	2	46	,	,	PUNCT
cana-4128	2	47	salalah	salalah	PROPN
cana-4128	2	48	,	,	PUNCT
cana-4128	2	49	sultanate	sultanate	NOUN
cana-4128	2	50	of	of	ADP
cana-4128	2	51	oman	oman	NOUN
cana-4128	2	52	,	,	PUNCT
cana-4128	2	53	2	2	NUM
cana-4128	2	54	:	:	PUNCT
cana-4128	2	55	department	department	NOUN
cana-4128	2	56	of	of	ADP
cana-4128	2	57	mathematics	mathematics	PROPN
cana-4128	2	58	&	&	CCONJ
cana-4128	2	59	it	it	PRON
cana-4128	2	60	center	center	VERB
cana-4128	2	61	for	for	ADP
cana-4128	2	62	preparatory	preparatory	ADJ
cana-4128	2	63	studies	study	NOUN
cana-4128	2	64	,	,	PUNCT
cana-4128	2	65	sultan	sultan	PROPN
cana-4128	2	66	qaboos	qaboos	PROPN
cana-4128	2	67	university	university	PROPN
cana-4128	2	68	,	,	PUNCT
cana-4128	2	69	muscat	muscat	PROPN
cana-4128	2	70	,	,	PUNCT
cana-4128	2	71	oman	oman	NOUN
cana-4128	2	72	.	.	PUNCT
cana-4128	3	1	4	4	NUM
cana-4128	3	2	:	:	PUNCT
cana-4128	3	3	university	university	NOUN
cana-4128	3	4	of	of	ADP
cana-4128	3	5	technology	technology	NOUN
cana-4128	3	6	and	and	CCONJ
cana-4128	3	7	applied	apply	VERB
cana-4128	3	8	sciences	sciences	PROPN
cana-4128	3	9	–	–	PUNCT
cana-4128	3	10	salalah	salalah	PROPN
cana-4128	3	11	,	,	PUNCT
cana-4128	3	12	sultanate	sultanate	NOUN
cana-4128	3	13	of	of	ADP
cana-4128	3	14	oman	oman	NOUN
cana-4128	3	15	.	.	PUNCT
cana-4128	4	1	6	6	NUM
cana-4128	4	2	:	:	PUNCT
cana-4128	4	3	department	department	NOUN
cana-4128	4	4	of	of	ADP
cana-4128	4	5	applied	apply	VERB
cana-4128	4	6	sciences(maths	sciences(math	NOUN
cana-4128	4	7	)	)	PUNCT
cana-4128	4	8	,	,	PUNCT
cana-4128	4	9	ananad	ananad	ADJ
cana-4128	4	10	engineering	engineering	PROPN
cana-4128	4	11	college	college	PROPN
cana-4128	4	12	,	,	PUNCT
cana-4128	4	13	agra	agra	PROPN
cana-4128	4	14	,	,	PUNCT
cana-4128	4	15	india	india	PROPN
cana-4128	4	16	.	.	PUNCT
cana-4128	5	1	article	article	PROPN
cana-4128	5	2	history	history	NOUN
cana-4128	5	3	:	:	PUNCT
cana-4128	5	4	received	receive	VERB
cana-4128	5	5	:	:	PUNCT
cana-4128	5	6	12	12	NUM
cana-4128	5	7	-	-	SYM
cana-4128	5	8	01	01	NUM
cana-4128	5	9	-	-	PUNCT
cana-4128	5	10	2025	2025	NUM
cana-4128	5	11	revised	revise	VERB
cana-4128	5	12	:	:	PUNCT
cana-4128	5	13	15	15	NUM
cana-4128	5	14	-	-	NUM
cana-4128	5	15	02	02	NUM
cana-4128	5	16	-	-	PUNCT
cana-4128	5	17	2025	2025	NUM
cana-4128	5	18	accepted	accept	VERB
cana-4128	5	19	:	:	PUNCT
cana-4128	5	20	01	01	NUM
cana-4128	5	21	-	-	SYM
cana-4128	5	22	03	03	NUM
cana-4128	5	23	-	-	PUNCT
cana-4128	5	24	2025	2025	NUM
cana-4128	5	25	abstract	abstract	NOUN
cana-4128	5	26	:	:	PUNCT
cana-4128	5	27	the	the	DET
cana-4128	5	28	aim	aim	NOUN
cana-4128	5	29	of	of	ADP
cana-4128	5	30	this	this	DET
cana-4128	5	31	paper	paper	NOUN
cana-4128	5	32	is	be	AUX
cana-4128	5	33	to	to	PART
cana-4128	5	34	develop	develop	VERB
cana-4128	5	35	a	a	DET
cana-4128	5	36	probability	probability	NOUN
cana-4128	5	37	distribution	distribution	NOUN
cana-4128	5	38	which	which	PRON
cana-4128	5	39	can	can	AUX
cana-4128	5	40	be	be	AUX
cana-4128	5	41	used	use	VERB
cana-4128	5	42	in	in	ADP
cana-4128	5	43	the	the	DET
cana-4128	5	44	reliability	reliability	NOUN
cana-4128	5	45	theory	theory	NOUN
cana-4128	5	46	and	and	CCONJ
cana-4128	5	47	in	in	ADP
cana-4128	5	48	theoretical	theoretical	ADJ
cana-4128	5	49	physics	physics	NOUN
cana-4128	5	50	.	.	PUNCT
cana-4128	6	1	some	some	DET
cana-4128	6	2	basic	basic	ADJ
cana-4128	6	3	properties	property	NOUN
cana-4128	6	4	of	of	ADP
cana-4128	6	5	the	the	DET
cana-4128	6	6	distribution	distribution	NOUN
cana-4128	6	7	have	have	AUX
cana-4128	6	8	been	be	AUX
cana-4128	6	9	discussed	discuss	VERB
cana-4128	6	10	and	and	CCONJ
cana-4128	6	11	their	their	PRON
cana-4128	6	12	mathematical	mathematical	ADJ
cana-4128	6	13	forms	form	NOUN
cana-4128	6	14	have	have	AUX
cana-4128	6	15	been	be	AUX
cana-4128	6	16	evaluated	evaluate	VERB
cana-4128	6	17	.	.	PUNCT
cana-4128	7	1	keywords	keyword	NOUN
cana-4128	7	2	:	:	PUNCT
cana-4128	7	3	finite	finite	ADJ
cana-4128	7	4	range	range	NOUN
cana-4128	7	5	distribution	distribution	NOUN
cana-4128	7	6	1	1	NUM
cana-4128	7	7	.	.	PUNCT
cana-4128	8	1	introduction	introduction	NOUN
cana-4128	8	2	:	:	PUNCT
cana-4128	8	3	development	development	NOUN
cana-4128	8	4	of	of	ADP
cana-4128	8	5	new	new	ADJ
cana-4128	8	6	probability	probability	NOUN
cana-4128	8	7	distributions	distribution	NOUN
cana-4128	8	8	definitely	definitely	ADV
cana-4128	8	9	increases	increase	VERB
cana-4128	8	10	the	the	DET
cana-4128	8	11	family	family	NOUN
cana-4128	8	12	of	of	ADP
cana-4128	8	13	probability	probability	NOUN
cana-4128	8	14	distributions	distribution	NOUN
cana-4128	8	15	and	and	CCONJ
cana-4128	8	16	reduces	reduce	VERB
cana-4128	8	17	the	the	DET
cana-4128	8	18	risk	risk	NOUN
cana-4128	8	19	of	of	ADP
cana-4128	8	20	using	use	VERB
cana-4128	8	21	approximately	approximately	ADV
cana-4128	8	22	near	near	ADP
cana-4128	8	23	distribution	distribution	NOUN
cana-4128	8	24	.	.	PUNCT
cana-4128	9	1	there	there	PRON
cana-4128	9	2	are	be	VERB
cana-4128	9	3	many	many	ADJ
cana-4128	9	4	research	research	NOUN
cana-4128	9	5	workers	worker	NOUN
cana-4128	9	6	who	who	PRON
cana-4128	9	7	have	have	AUX
cana-4128	9	8	developed	develop	VERB
cana-4128	9	9	probability	probability	NOUN
cana-4128	9	10	distribution	distribution	NOUN
cana-4128	9	11	in	in	ADP
cana-4128	9	12	recent	recent	ADJ
cana-4128	9	13	times	time	NOUN
cana-4128	9	14	,	,	PUNCT
cana-4128	9	15	such	such	ADJ
cana-4128	9	16	as	as	ADP
cana-4128	9	17	,	,	PUNCT
cana-4128	9	18	mukherjee	mukherjee	PROPN
cana-4128	9	19	and	and	CCONJ
cana-4128	9	20	islam	islam	PROPN
cana-4128	9	21	(	(	PUNCT
cana-4128	9	22	1983	1983	NUM
cana-4128	9	23	)	)	PUNCT
cana-4128	9	24	,	,	PUNCT
cana-4128	9	25	siddiqui	siddiqui	NOUN
cana-4128	9	26	et	et	PROPN
cana-4128	9	27	al(1992,1994,1995,2016	al(1992,1994,1995,2016	PROPN
cana-4128	9	28	)	)	PUNCT
cana-4128	9	29	.	.	PUNCT
cana-4128	10	1	this	this	DET
cana-4128	10	2	distribution	distribution	NOUN
cana-4128	10	3	will	will	AUX
cana-4128	10	4	be	be	AUX
cana-4128	10	5	useful	useful	ADJ
cana-4128	10	6	when	when	SCONJ
cana-4128	10	7	observations	observation	NOUN
cana-4128	10	8	are	be	AUX
cana-4128	10	9	presented	present	VERB
cana-4128	10	10	in	in	ADP
cana-4128	10	11	the	the	DET
cana-4128	10	12	form	form	NOUN
cana-4128	10	13	of	of	ADP
cana-4128	10	14	percent	percent	NOUN
cana-4128	10	15	increment	increment	NOUN
cana-4128	10	16	or	or	CCONJ
cana-4128	10	17	in	in	ADP
cana-4128	10	18	decreasement	decreasement	NOUN
cana-4128	10	19	.	.	PUNCT
cana-4128	11	1	probability	probability	NOUN
cana-4128	11	2	is	be	AUX
cana-4128	11	3	the	the	DET
cana-4128	11	4	language	language	NOUN
cana-4128	11	5	of	of	ADP
cana-4128	11	6	statistical	statistical	ADJ
cana-4128	11	7	mechanics	mechanic	NOUN
cana-4128	11	8	.	.	PUNCT
cana-4128	12	1	it	it	PRON
cana-4128	12	2	is	be	AUX
cana-4128	12	3	also	also	ADV
cana-4128	12	4	fundamental	fundamental	ADJ
cana-4128	12	5	to	to	ADP
cana-4128	12	6	the	the	DET
cana-4128	12	7	understanding	understanding	NOUN
cana-4128	12	8	of	of	ADP
cana-4128	12	9	quantum	quantum	ADJ
cana-4128	12	10	mechanics	mechanic	NOUN
cana-4128	12	11	.	.	PUNCT
cana-4128	13	1	in	in	ADP
cana-4128	13	2	statistical	statistical	ADJ
cana-4128	13	3	mechanics	mechanic	NOUN
cana-4128	13	4	the	the	DET
cana-4128	13	5	physical	physical	ADJ
cana-4128	13	6	problems	problem	NOUN
cana-4128	13	7	concern	concern	VERB
cana-4128	13	8	large	large	ADJ
cana-4128	13	9	groups	group	NOUN
cana-4128	13	10	of	of	ADP
cana-4128	13	11	particles	particle	NOUN
cana-4128	13	12	,	,	PUNCT
cana-4128	13	13	like	like	ADP
cana-4128	13	14	molecules	molecule	NOUN
cana-4128	13	15	in	in	ADP
cana-4128	13	16	a	a	DET
cana-4128	13	17	gas	gas	NOUN
cana-4128	13	18	.	.	PUNCT
cana-4128	14	1	it	it	PRON
cana-4128	14	2	is	be	AUX
cana-4128	14	3	not	not	PART
cana-4128	14	4	possible	possible	ADJ
cana-4128	14	5	to	to	PART
cana-4128	14	6	track	track	VERB
cana-4128	14	7	every	every	DET
cana-4128	14	8	single	single	ADJ
cana-4128	14	9	particle	particle	NOUN
cana-4128	14	10	’s	’s	PART
cana-4128	14	11	motion	motion	NOUN
cana-4128	14	12	;	;	PUNCT
cana-4128	14	13	statistical	statistical	ADJ
cana-4128	14	14	mechanics	mechanic	NOUN
cana-4128	14	15	uses	use	VERB
cana-4128	14	16	probability	probability	NOUN
cana-4128	14	17	distributions	distribution	NOUN
cana-4128	14	18	to	to	PART
cana-4128	14	19	describe	describe	VERB
cana-4128	14	20	the	the	DET
cana-4128	14	21	average	average	ADJ
cana-4128	14	22	behavior	behavior	NOUN
cana-4128	14	23	of	of	ADP
cana-4128	14	24	the	the	DET
cana-4128	14	25	system	system	NOUN
cana-4128	14	26	.	.	PUNCT
cana-4128	15	1	probability	probability	NOUN
cana-4128	15	2	is	be	AUX
cana-4128	15	3	the	the	DET
cana-4128	15	4	backbone	backbone	NOUN
cana-4128	15	5	of	of	ADP
cana-4128	15	6	thermodynamics	thermodynamic	NOUN
cana-4128	15	7	.	.	PUNCT
cana-4128	16	1	it	it	PRON
cana-4128	16	2	enables	enable	VERB
cana-4128	16	3	us	we	PRON
cana-4128	16	4	understand	understand	VERB
cana-4128	16	5	the	the	DET
cana-4128	16	6	likelihood	likelihood	NOUN
cana-4128	16	7	of	of	ADP
cana-4128	16	8	a	a	DET
cana-4128	16	9	system	system	NOUN
cana-4128	16	10	transitioning	transition	VERB
cana-4128	16	11	between	between	ADP
cana-4128	16	12	different	different	ADJ
cana-4128	16	13	states	state	NOUN
cana-4128	16	14	and	and	CCONJ
cana-4128	16	15	how	how	SCONJ
cana-4128	16	16	it	it	PRON
cana-4128	16	17	evolves	evolve	VERB
cana-4128	16	18	over	over	ADP
cana-4128	16	19	time	time	NOUN
cana-4128	16	20	.	.	PUNCT
cana-4128	17	1	unlike	unlike	ADP
cana-4128	17	2	classical	classical	ADJ
cana-4128	17	3	mechanics	mechanic	NOUN
cana-4128	17	4	,	,	PUNCT
cana-4128	17	5	in	in	ADP
cana-4128	17	6	quantum	quantum	ADJ
cana-4128	17	7	mechanics	mechanic	NOUN
cana-4128	17	8	particles	particle	NOUN
cana-4128	17	9	do	do	AUX
cana-4128	17	10	not	not	PART
cana-4128	17	11	have	have	VERB
cana-4128	17	12	fixed	fix	VERB
cana-4128	17	13	properties	property	NOUN
cana-4128	17	14	.	.	PUNCT
cana-4128	18	1	their	their	PRON
cana-4128	18	2	behavior	behavior	NOUN
cana-4128	18	3	is	be	AUX
cana-4128	18	4	described	describe	VERB
cana-4128	18	5	by	by	ADP
cana-4128	18	6	probability	probability	NOUN
cana-4128	18	7	distributions	distribution	NOUN
cana-4128	18	8	.	.	PUNCT
cana-4128	19	1	the	the	DET
cana-4128	19	2	probability	probability	NOUN
cana-4128	19	3	amplitude	amplitude	NOUN
cana-4128	19	4	of	of	ADP
cana-4128	19	5	finding	find	VERB
cana-4128	19	6	a	a	DET
cana-4128	19	7	particle	particle	NOUN
cana-4128	19	8	in	in	ADP
cana-4128	19	9	a	a	DET
cana-4128	19	10	certain	certain	ADJ
cana-4128	19	11	state	state	NOUN
cana-4128	19	12	gives	give	VERB
cana-4128	19	13	us	we	PRON
cana-4128	19	14	the	the	DET
cana-4128	19	15	likelihood	likelihood	NOUN
cana-4128	19	16	of	of	ADP
cana-4128	19	17	that	that	DET
cana-4128	19	18	outcome	outcome	NOUN
cana-4128	19	19	.	.	PUNCT
cana-4128	20	1	in	in	ADP
cana-4128	20	2	a	a	DET
cana-4128	20	3	radioactive	radioactive	ADJ
cana-4128	20	4	decay	decay	NOUN
cana-4128	20	5	process	process	NOUN
cana-4128	20	6	,	,	PUNCT
cana-4128	20	7	unstable	unstable	ADJ
cana-4128	20	8	nuclei	nucleus	NOUN
cana-4128	20	9	transform	transform	VERB
cana-4128	20	10	into	into	ADP
cana-4128	20	11	more	more	ADV
cana-4128	20	12	stable	stable	ADJ
cana-4128	20	13	ones	one	NOUN
cana-4128	20	14	by	by	ADP
cana-4128	20	15	emitting	emit	VERB
cana-4128	20	16	particles	particle	NOUN
cana-4128	20	17	.	.	PUNCT
cana-4128	21	1	the	the	DET
cana-4128	21	2	poisson	poisson	NOUN
cana-4128	21	3	distribution	distribution	NOUN
cana-4128	21	4	enables	enable	VERB
cana-4128	21	5	us	we	PRON
cana-4128	21	6	to	to	PART
cana-4128	21	7	model	model	VERB
cana-4128	21	8	the	the	DET
cana-4128	21	9	number	number	NOUN
cana-4128	21	10	of	of	ADP
cana-4128	21	11	decays	decay	NOUN
cana-4128	21	12	that	that	PRON
cana-4128	21	13	could	could	AUX
cana-4128	21	14	happen	happen	VERB
cana-4128	21	15	in	in	ADP
cana-4128	21	16	a	a	DET
cana-4128	21	17	given	give	VERB
cana-4128	21	18	time	time	NOUN
cana-4128	21	19	period	period	NOUN
cana-4128	21	20	,	,	PUNCT
cana-4128	21	21	given	give	VERB
cana-4128	21	22	the	the	DET
cana-4128	21	23	average	average	ADJ
cana-4128	21	24	rate	rate	NOUN
cana-4128	21	25	of	of	ADP
cana-4128	21	26	decay	decay	NOUN
cana-4128	21	27	.	.	PUNCT
cana-4128	22	1	reif	reif	NOUN
cana-4128	22	2	(	(	PUNCT
cana-4128	22	3	2009	2009	NUM
cana-4128	22	4	)	)	PUNCT
cana-4128	22	5	discussed	discuss	VERB
cana-4128	22	6	statistical	statistical	ADJ
cana-4128	22	7	physics	physics	NOUN
cana-4128	22	8	in	in	ADP
cana-4128	22	9	detail	detail	NOUN
cana-4128	22	10	,	,	PUNCT
cana-4128	22	11	roe	roe	PROPN
cana-4128	22	12	(	(	PUNCT
cana-4128	22	13	2012	2012	NUM
cana-4128	22	14	)	)	PUNCT
cana-4128	22	15	discussed	discuss	VERB
cana-4128	22	16	the	the	DET
cana-4128	22	17	role	role	NOUN
cana-4128	22	18	of	of	ADP
cana-4128	22	19	the	the	DET
cana-4128	22	20	theory	theory	NOUN
cana-4128	22	21	of	of	ADP
cana-4128	22	22	probability	probability	NOUN
cana-4128	22	23	in	in	ADP
cana-4128	22	24	experimental	experimental	ADJ
cana-4128	22	25	physics	physic	NOUN
cana-4128	22	26	.	.	PUNCT
cana-4128	23	1	kuzemsky	kuzemsky	NOUN
cana-4128	23	2	(	(	PUNCT
cana-4128	23	3	2016	2016	NUM
cana-4128	23	4	)	)	PUNCT
cana-4128	23	5	discussed	discuss	VERB
cana-4128	23	6	communications	communication	NOUN
cana-4128	23	7	on	on	ADP
cana-4128	23	8	applied	apply	VERB
cana-4128	23	9	nonlinear	nonlinear	ADJ
cana-4128	23	10	analysis	analysis	NOUN
cana-4128	23	11	issn	issn	NOUN
cana-4128	23	12	:	:	PUNCT
cana-4128	23	13	1074	1074	NUM
cana-4128	23	14	-	-	PUNCT
cana-4128	23	15	133x	133x	NUM
cana-4128	23	16	vol	vol	NOUN
cana-4128	23	17	32	32	NUM
cana-4128	23	18	no	no	NOUN
cana-4128	23	19	.	.	PUNCT
cana-4128	24	1	9s	9s	NUM
cana-4128	24	2	(	(	PUNCT
cana-4128	24	3	2025	2025	NUM
cana-4128	24	4	)	)	PUNCT
cana-4128	24	5	1225	1225	NUM
cana-4128	24	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4128	25	1	the	the	DET
cana-4128	25	2	use	use	NOUN
cana-4128	25	3	of	of	ADP
cana-4128	25	4	the	the	DET
cana-4128	25	5	theory	theory	NOUN
cana-4128	25	6	of	of	ADP
cana-4128	25	7	probability	probability	NOUN
cana-4128	25	8	,	,	PUNCT
cana-4128	25	9	michael	michael	PROPN
cana-4128	25	10	(	(	PUNCT
cana-4128	25	11	2021	2021	NUM
cana-4128	25	12	)	)	PUNCT
cana-4128	25	13	discussed	discuss	VERB
cana-4128	25	14	the	the	DET
cana-4128	25	15	probability	probability	NOUN
cana-4128	25	16	related	relate	VERB
cana-4128	25	17	ideas	idea	NOUN
cana-4128	25	18	across	across	ADP
cana-4128	25	19	the	the	DET
cana-4128	25	20	theory	theory	NOUN
cana-4128	25	21	of	of	ADP
cana-4128	25	22	physics	physics	NOUN
cana-4128	25	23	.	.	PUNCT
cana-4128	26	1	2	2	X
cana-4128	26	2	.	.	NUM
cana-4128	26	3	proposed	propose	VERB
cana-4128	26	4	probability	probability	NOUN
cana-4128	26	5	distribution	distribution	NOUN
cana-4128	26	6	the	the	DET
cana-4128	26	7	probability	probability	NOUN
cana-4128	26	8	density	density	NOUN
cana-4128	26	9	function	function	NOUN
cana-4128	26	10	of	of	ADP
cana-4128	26	11	the	the	DET
cana-4128	26	12	proposed	propose	VERB
cana-4128	26	13	distribution	distribution	NOUN
cana-4128	26	14	is	be	AUX
cana-4128	26	15	;	;	PUNCT
cana-4128	26	16	𝑓(𝑥	𝑓(𝑥	NOUN
cana-4128	26	17	)	)	PUNCT
cana-4128	26	18	=	=	SYM
cana-4128	26	19	𝑝	𝑝	PROPN
cana-4128	26	20	𝑒𝑝−1	𝑒𝑝−1	PROPN
cana-4128	27	1	𝑒𝑥𝑝	𝑒𝑥𝑝	INTJ
cana-4128	27	2	,	,	PUNCT
cana-4128	27	3	0	0	NUM
cana-4128	27	4	<	<	X
cana-4128	27	5	𝑥	𝑥	X
cana-4128	27	6	≤	≤	NUM
cana-4128	27	7	1	1	NUM
cana-4128	27	8	,	,	PUNCT
cana-4128	27	9	𝑝	𝑝	NOUN
cana-4128	27	10	<	<	X
cana-4128	27	11	1	1	NUM
cana-4128	27	12	…	…	PUNCT
cana-4128	27	13	(	(	PUNCT
cana-4128	27	14	1	1	X
cana-4128	27	15	)	)	PUNCT
cana-4128	27	16	graph	graph	NOUN
cana-4128	27	17	of	of	ADP
cana-4128	27	18	pdf	pdf	NOUN
cana-4128	27	19	of	of	ADP
cana-4128	27	20	the	the	DET
cana-4128	27	21	proposed	propose	VERB
cana-4128	27	22	distribution	distribution	NOUN
cana-4128	27	23	where	where	SCONJ
cana-4128	27	24	‘	'	PUNCT
cana-4128	27	25	p	p	X
cana-4128	27	26	’	'	PUNCT
cana-4128	27	27	is	be	AUX
cana-4128	27	28	the	the	DET
cana-4128	27	29	parameter	parameter	NOUN
cana-4128	27	30	of	of	ADP
cana-4128	27	31	the	the	DET
cana-4128	27	32	distribution	distribution	NOUN
cana-4128	27	33	,	,	PUNCT
cana-4128	27	34	both	both	CCONJ
cana-4128	27	35	variable	variable	ADJ
cana-4128	27	36	and	and	CCONJ
cana-4128	27	37	the	the	DET
cana-4128	27	38	parameter	parameter	NOUN
cana-4128	27	39	are	be	AUX
cana-4128	27	40	having	have	VERB
cana-4128	27	41	similar	similar	ADJ
cana-4128	27	42	range	range	NOUN
cana-4128	27	43	.	.	PUNCT
cana-4128	28	1	and	and	CCONJ
cana-4128	28	2	the	the	DET
cana-4128	28	3	cumulative	cumulative	ADJ
cana-4128	28	4	distribution	distribution	NOUN
cana-4128	28	5	function	function	NOUN
cana-4128	28	6	is	be	AUX
cana-4128	28	7	;	;	PUNCT
cana-4128	28	8	𝐹(𝑥	𝐹(𝑥	X
cana-4128	28	9	)	)	PUNCT
cana-4128	28	10	=	=	SYM
cana-4128	28	11	𝑒𝑥𝑝−1	𝑒𝑥𝑝−1	PROPN
cana-4128	28	12	𝑒𝑝−1	𝑒𝑝−1	PROPN
cana-4128	28	13	,	,	PUNCT
cana-4128	28	14	0	0	PUNCT
cana-4128	28	15	<	<	X
cana-4128	28	16	𝑥	𝑥	X
cana-4128	28	17	≤	≤	NUM
cana-4128	28	18	1	1	NUM
cana-4128	28	19	,	,	PUNCT
cana-4128	28	20	𝑝	𝑝	NOUN
cana-4128	28	21	<	<	X
cana-4128	28	22	1	1	NUM
cana-4128	28	23	…	…	PUNCT
cana-4128	28	24	(	(	PUNCT
cana-4128	28	25	2	2	X
cana-4128	28	26	)	)	PUNCT
cana-4128	28	27	graph	graph	NOUN
cana-4128	28	28	of	of	ADP
cana-4128	28	29	cumulative	cumulative	ADJ
cana-4128	28	30	distribution	distribution	NOUN
cana-4128	28	31	function	function	NOUN
cana-4128	28	32	reliability	reliability	NOUN
cana-4128	28	33	function	function	NOUN
cana-4128	28	34	𝑅(𝑡	𝑅(𝑡	NOUN
cana-4128	28	35	)	)	PUNCT
cana-4128	28	36	=	=	SYM
cana-4128	29	1	1	1	NUM
cana-4128	29	2	−	−	NUM
cana-4128	29	3	𝐹(𝑡	𝐹(𝑡	NUM
cana-4128	29	4	)	)	PUNCT
cana-4128	29	5	=	=	SYM
cana-4128	29	6	1	1	NUM
cana-4128	29	7	−	−	PROPN
cana-4128	29	8	𝑒𝑡𝑝	𝑒𝑡𝑝	NOUN
cana-4128	29	9	−	−	PROPN
cana-4128	29	10	1	1	NUM
cana-4128	29	11	𝑒𝑝	𝑒𝑝	NOUN
cana-4128	29	12	−	−	PROPN
cana-4128	29	13	1	1	NUM
cana-4128	29	14	=	=	SYM
cana-4128	29	15	𝑒𝑝	𝑒𝑝	PROPN
cana-4128	29	16	−	−	PROPN
cana-4128	29	17	𝑒𝑡𝑝	𝑒𝑡𝑝	NOUN
cana-4128	29	18	𝑒𝑝	𝑒𝑝	PROPN
cana-4128	29	19	−	−	PROPN
cana-4128	29	20	1	1	NUM
cana-4128	29	21	,	,	PUNCT
cana-4128	29	22	𝑡	𝑡	X
cana-4128	29	23	>	>	X
cana-4128	29	24	0	0	PUNCT
cana-4128	30	1	p	p	NOUN
cana-4128	30	2	0.9	0.9	NUM
cana-4128	30	3	p	p	NOUN
cana-4128	30	4	1.5	1.5	NUM
cana-4128	30	5	p	p	NOUN
cana-4128	30	6	3	3	NUM
cana-4128	30	7	p	p	NOUN
cana-4128	30	8	10	10	NUM
cana-4128	30	9	0.0	0.0	NUM
cana-4128	30	10	0.2	0.2	NUM
cana-4128	30	11	0.4	0.4	NUM
cana-4128	30	12	0.6	0.6	NUM
cana-4128	30	13	0.8	0.8	NUM
cana-4128	30	14	1.0	1.0	NUM
cana-4128	30	15	0.0	0.0	NUM
cana-4128	30	16	0.5	0.5	NUM
cana-4128	30	17	1.0	1.0	NUM
cana-4128	30	18	1.5	1.5	NUM
cana-4128	30	19	2.0	2.0	NUM
cana-4128	30	20	2.5	2.5	NUM
cana-4128	30	21	3.0	3.0	NUM
cana-4128	30	22	x	x	PUNCT
cana-4128	31	1	p	p	NOUN
cana-4128	31	2	d	d	X
cana-4128	31	3	f	f	X
cana-4128	31	4	p	p	X
cana-4128	31	5	0.9	0.9	NUM
cana-4128	31	6	p	p	NOUN
cana-4128	31	7	1.5	1.5	NUM
cana-4128	31	8	p	p	NOUN
cana-4128	31	9	3	3	NUM
cana-4128	31	10	p	p	NOUN
cana-4128	31	11	10	10	NUM
cana-4128	31	12	0.0	0.0	NUM
cana-4128	31	13	0.2	0.2	NUM
cana-4128	31	14	0.4	0.4	NUM
cana-4128	31	15	0.6	0.6	NUM
cana-4128	31	16	0.8	0.8	NUM
cana-4128	31	17	1.0	1.0	NUM
cana-4128	31	18	0.0	0.0	NUM
cana-4128	31	19	0.2	0.2	NUM
cana-4128	31	20	0.4	0.4	NUM
cana-4128	31	21	0.6	0.6	NUM
cana-4128	31	22	0.8	0.8	NUM
cana-4128	31	23	1.0	1.0	NUM
cana-4128	31	24	x	x	SYM
cana-4128	31	25	c	c	NOUN
cana-4128	31	26	d	d	X
cana-4128	31	27	f	f	PROPN
cana-4128	31	28	communications	communication	NOUN
cana-4128	31	29	on	on	ADP
cana-4128	31	30	applied	apply	VERB
cana-4128	31	31	nonlinear	nonlinear	ADJ
cana-4128	31	32	analysis	analysis	NOUN
cana-4128	31	33	issn	issn	NOUN
cana-4128	31	34	:	:	PUNCT
cana-4128	31	35	1074	1074	NUM
cana-4128	31	36	-	-	PUNCT
cana-4128	31	37	133x	133x	NUM
cana-4128	31	38	vol	vol	NOUN
cana-4128	31	39	32	32	NUM
cana-4128	31	40	no	no	NOUN
cana-4128	31	41	.	.	PUNCT
cana-4128	32	1	9s	9s	NUM
cana-4128	32	2	(	(	PUNCT
cana-4128	32	3	2025	2025	NUM
cana-4128	32	4	)	)	PUNCT
cana-4128	32	5	1226	1226	NUM
cana-4128	32	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4128	32	7	graph	graph	NOUN
cana-4128	32	8	of	of	ADP
cana-4128	32	9	the	the	DET
cana-4128	32	10	reliability	reliability	NOUN
cana-4128	32	11	function	function	NOUN
cana-4128	32	12	hazard	hazard	NOUN
cana-4128	32	13	rate	rate	NOUN
cana-4128	32	14	function	function	PROPN
cana-4128	32	15	ℎ(𝑡	ℎ(𝑡	PROPN
cana-4128	32	16	)	)	PUNCT
cana-4128	33	1	=	=	SYM
cana-4128	33	2	𝑓(𝑡	𝑓(𝑡	VERB
cana-4128	33	3	)	)	PUNCT
cana-4128	33	4	𝑅(𝑡	𝑅(𝑡	NOUN
cana-4128	33	5	)	)	PUNCT
cana-4128	33	6	=	=	SYM
cana-4128	33	7	𝑝𝑒𝑡𝑝	𝑝𝑒𝑡𝑝	NOUN
cana-4128	33	8	−	−	PROPN
cana-4128	33	9	1	1	NUM
cana-4128	33	10	𝑒𝑝	𝑒𝑝	NOUN
cana-4128	33	11	−	−	PROPN
cana-4128	33	12	1	1	NUM
cana-4128	33	13	𝑒𝑡𝑝	𝑒𝑡𝑝	NOUN
cana-4128	33	14	−	−	PROPN
cana-4128	33	15	1	1	NUM
cana-4128	33	16	𝑒𝑝	𝑒𝑝	NOUN
cana-4128	33	17	−	−	PROPN
cana-4128	33	18	1	1	NUM
cana-4128	33	19	=	=	NOUN
cana-4128	33	20	𝑝𝑒𝑡𝑝	𝑝𝑒𝑡𝑝	X
cana-4128	33	21	𝑒𝑡𝑝	𝑒𝑡𝑝	NOUN
cana-4128	33	22	−	−	PROPN
cana-4128	33	23	1	1	NUM
cana-4128	33	24	𝑡	𝑡	PROPN
cana-4128	33	25	>	>	X
cana-4128	33	26	0	0	PUNCT
cana-4128	33	27	graph	graph	NOUN
cana-4128	33	28	of	of	ADP
cana-4128	33	29	the	the	DET
cana-4128	33	30	hazard	hazard	NOUN
cana-4128	33	31	rate	rate	NOUN
cana-4128	33	32	function	function	NOUN
cana-4128	33	33	p	p	PROPN
cana-4128	33	34	0.9	0.9	NUM
cana-4128	33	35	p	p	NOUN
cana-4128	33	36	1.5	1.5	NUM
cana-4128	33	37	p	p	NOUN
cana-4128	33	38	3	3	NUM
cana-4128	33	39	p	p	NOUN
cana-4128	33	40	10	10	NUM
cana-4128	33	41	0.0	0.0	NUM
cana-4128	33	42	0.2	0.2	NUM
cana-4128	33	43	0.4	0.4	NUM
cana-4128	33	44	0.6	0.6	NUM
cana-4128	33	45	0.8	0.8	NUM
cana-4128	33	46	1.0	1.0	NUM
cana-4128	33	47	0.0	0.0	NUM
cana-4128	33	48	0.2	0.2	NUM
cana-4128	33	49	0.4	0.4	NUM
cana-4128	33	50	0.6	0.6	NUM
cana-4128	33	51	0.8	0.8	NUM
cana-4128	33	52	1.0	1.0	NUM
cana-4128	33	53	t	t	NOUN
cana-4128	33	54	r	r	NOUN
cana-4128	33	55	t	t	PROPN
cana-4128	33	56	p	p	NOUN
cana-4128	33	57	0.9	0.9	NUM
cana-4128	33	58	p	p	NOUN
cana-4128	33	59	1.5	1.5	NUM
cana-4128	33	60	p	p	NOUN
cana-4128	33	61	3	3	NUM
cana-4128	33	62	p	p	NOUN
cana-4128	33	63	10	10	NUM
cana-4128	33	64	0.0	0.0	NUM
cana-4128	33	65	0.2	0.2	NUM
cana-4128	33	66	0.4	0.4	NUM
cana-4128	33	67	0.6	0.6	NUM
cana-4128	33	68	0.8	0.8	NUM
cana-4128	33	69	1.0	1.0	NUM
cana-4128	33	70	0	0	NUM
cana-4128	33	71	5	5	NUM
cana-4128	33	72	10	10	NUM
cana-4128	33	73	15	15	NUM
cana-4128	33	74	20	20	NUM
cana-4128	33	75	x	x	SYM
cana-4128	33	76	h	h	NOUN
cana-4128	33	77	x	x	NOUN
cana-4128	33	78	communications	communication	NOUN
cana-4128	33	79	on	on	ADP
cana-4128	33	80	applied	apply	VERB
cana-4128	33	81	nonlinear	nonlinear	ADJ
cana-4128	33	82	analysis	analysis	NOUN
cana-4128	33	83	issn	issn	NOUN
cana-4128	33	84	:	:	PUNCT
cana-4128	33	85	1074	1074	NUM
cana-4128	33	86	-	-	PUNCT
cana-4128	33	87	133x	133x	NUM
cana-4128	33	88	vol	vol	NOUN
cana-4128	33	89	32	32	NUM
cana-4128	33	90	no	no	NOUN
cana-4128	33	91	.	.	PUNCT
cana-4128	34	1	9s	9s	NUM
cana-4128	34	2	(	(	PUNCT
cana-4128	34	3	2025	2025	NUM
cana-4128	34	4	)	)	PUNCT
cana-4128	34	5	1227	1227	NUM
cana-4128	34	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4128	34	7	3	3	X
cana-4128	34	8	.	.	PUNCT
cana-4128	34	9	characterization	characterization	NOUN
cana-4128	34	10	of	of	ADP
cana-4128	34	11	the	the	DET
cana-4128	34	12	disitribution	disitribution	NOUN
cana-4128	34	13	:	:	PUNCT
cana-4128	34	14	moments	moment	NOUN
cana-4128	34	15	generating	generate	VERB
cana-4128	34	16	and	and	CCONJ
cana-4128	34	17	characteristic	characteristic	ADJ
cana-4128	34	18	functions	function	NOUN
cana-4128	34	19	3.1	3.1	NUM
cana-4128	34	20	moments	moment	NOUN
cana-4128	34	21	generating	generate	VERB
cana-4128	34	22	function	function	NOUN
cana-4128	34	23	𝑀𝑥(𝑡	𝑀𝑥(𝑡	NOUN
cana-4128	34	24	)	)	PUNCT
cana-4128	34	25	=	=	SYM
cana-4128	34	26	𝐸(𝑒𝑡𝑥	𝐸(𝑒𝑡𝑥	VERB
cana-4128	34	27	)	)	PUNCT
cana-4128	35	1	=	=	SYM
cana-4128	35	2	∫	∫	PROPN
cana-4128	36	1	𝑒𝑡𝑥𝑓(𝑥)𝑑𝑥	𝑒𝑡𝑥𝑓(𝑥)𝑑𝑥	ADJ
cana-4128	36	2	1	1	NUM
cana-4128	36	3	0	0	NUM
cana-4128	36	4	𝑀𝑥(𝑡	𝑀𝑥(𝑡	NOUN
cana-4128	36	5	)	)	PUNCT
cana-4128	36	6	=	=	SYM
cana-4128	36	7	𝑝(𝑒𝑡+𝑝−1	𝑝(𝑒𝑡+𝑝−1	NOUN
cana-4128	36	8	)	)	PUNCT
cana-4128	36	9	(	(	PUNCT
cana-4128	36	10	𝑒𝑝−1)(𝑡+𝑝	𝑒𝑝−1)(𝑡+𝑝	PROPN
cana-4128	36	11	)	)	PUNCT
cana-4128	36	12	…	…	PUNCT
cana-4128	36	13	(	(	PUNCT
cana-4128	36	14	3	3	X
cana-4128	36	15	)	)	SYM
cana-4128	36	16	3.2	3.2	NUM
cana-4128	36	17	characteristic	characteristic	ADJ
cana-4128	36	18	function	function	NOUN
cana-4128	36	19	the	the	DET
cana-4128	36	20	characteristic	characteristic	ADJ
cana-4128	36	21	function	function	NOUN
cana-4128	36	22	(	(	PUNCT
cana-4128	36	23	c.f	c.f	PROPN
cana-4128	36	24	.	.	PROPN
cana-4128	36	25	)	)	PUNCT
cana-4128	36	26	of	of	ADP
cana-4128	36	27	the	the	DET
cana-4128	36	28	model	model	NOUN
cana-4128	36	29	can	can	AUX
cana-4128	36	30	be	be	AUX
cana-4128	36	31	obtained	obtain	VERB
cana-4128	36	32	as	as	ADP
cana-4128	36	33	below	below	ADV
cana-4128	36	34	:	:	PUNCT
cana-4128	36	35	𝜙𝑥(𝑡	𝜙𝑥(𝑡	NUM
cana-4128	36	36	)	)	PUNCT
cana-4128	36	37	=	=	SYM
cana-4128	36	38	𝐸(𝑒𝑖𝑡𝑥	𝐸(𝑒𝑖𝑡𝑥	PROPN
cana-4128	36	39	)	)	PUNCT
cana-4128	37	1	=	=	SYM
cana-4128	37	2	∫	∫	PROPN
cana-4128	37	3	𝑒𝑖𝑡𝑥𝑓(𝑥)𝑑𝑥	𝑒𝑖𝑡𝑥𝑓(𝑥)𝑑𝑥	PROPN
cana-4128	37	4	1	1	NUM
cana-4128	37	5	0	0	NUM
cana-4128	37	6	𝜙𝑥(𝑡	𝜙𝑥(𝑡	NUM
cana-4128	37	7	)	)	PUNCT
cana-4128	37	8	=	=	SYM
cana-4128	37	9	𝑝(𝑒𝑖𝑡+𝑝−1	𝑝(𝑒𝑖𝑡+𝑝−1	NOUN
cana-4128	37	10	)	)	PUNCT
cana-4128	37	11	(	(	PUNCT
cana-4128	37	12	𝑒𝑝−1)(𝑖𝑡+𝑝	𝑒𝑝−1)(𝑖𝑡+𝑝	PROPN
cana-4128	37	13	)	)	PUNCT
cana-4128	37	14	…	…	PUNCT
cana-4128	37	15	(	(	PUNCT
cana-4128	37	16	4	4	X
cana-4128	37	17	)	)	SYM
cana-4128	37	18	4	4	NUM
cana-4128	37	19	.	.	PUNCT
cana-4128	37	20	basic	basic	ADJ
cana-4128	37	21	parameters	parameter	NOUN
cana-4128	37	22	of	of	ADP
cana-4128	37	23	the	the	DET
cana-4128	37	24	distribution	distribution	NOUN
cana-4128	37	25	4.1	4.1	NUM
cana-4128	37	26	.	.	PUNCT
cana-4128	38	1	r	r	NOUN
cana-4128	38	2	th	th	NOUN
cana-4128	38	3	moment	moment	NOUN
cana-4128	38	4	about	about	ADP
cana-4128	38	5	origin	origin	VERB
cana-4128	38	6	the	the	DET
cana-4128	38	7	r	r	NOUN
cana-4128	38	8	t	t	NOUN
cana-4128	38	9	h	h	NOUN
cana-4128	38	10	moment	moment	NOUN
cana-4128	38	11	about	about	ADP
cana-4128	38	12	origin	origin	NOUN
cana-4128	38	13	is	be	AUX
cana-4128	38	14	given	give	VERB
cana-4128	38	15	by	by	ADP
cana-4128	38	16	𝜇𝑟	𝜇𝑟	PROPN
cana-4128	38	17	′	′	NUM
cana-4128	38	18	=	=	PUNCT
cana-4128	38	19	𝐸(𝑋𝑟	𝐸(𝑋𝑟	X
cana-4128	38	20	)	)	PUNCT
cana-4128	38	21	𝜇𝑟	𝜇𝑟	NOUN
cana-4128	38	22	′	′	NUM
cana-4128	38	23	=	=	PUNCT
cana-4128	38	24	γ(r+1,−p)−γ(r+1,0	γ(r+1,−p)−γ(r+1,0	PROPN
cana-4128	38	25	)	)	PUNCT
cana-4128	38	26	(	(	PUNCT
cana-4128	38	27	−p)r(ep−1	−p)r(ep−1	INTJ
cana-4128	38	28	)	)	PUNCT
cana-4128	38	29	…	…	PUNCT
cana-4128	38	30	(	(	PUNCT
cana-4128	38	31	5	5	X
cana-4128	38	32	)	)	PUNCT
cana-4128	38	33	this	this	PRON
cana-4128	38	34	in	in	ADP
cana-4128	38	35	turn	turn	NOUN
cana-4128	38	36	gives	give	VERB
cana-4128	38	37	the	the	DET
cana-4128	38	38	following	follow	VERB
cana-4128	38	39	results	result	NOUN
cana-4128	38	40	:	:	PUNCT
cana-4128	38	41	4.2	4.2	NUM
cana-4128	38	42	mean	mean	NOUN
cana-4128	38	43	𝑬(𝑿	𝑬(𝑿	NOUN
cana-4128	38	44	)	)	PUNCT
cana-4128	38	45	=	=	SYM
cana-4128	39	1	∫	∫	PROPN
cana-4128	39	2	𝒙	𝒙	NUM
cana-4128	39	3	𝒇(𝒙)𝒅𝒙	𝒇(𝒙)𝒅𝒙	NUM
cana-4128	39	4	𝟏	𝟏	PROPN
cana-4128	39	5	𝟎	𝟎	PROPN
cana-4128	39	6	𝑬(𝑿	𝑬(𝑿	PROPN
cana-4128	39	7	)	)	PUNCT
cana-4128	39	8	=	=	PUNCT
cana-4128	40	1	∫	∫	PROPN
cana-4128	41	1	𝒙	𝒙	NUM
cana-4128	41	2	𝒑	𝒑	PRON
cana-4128	41	3	𝒆𝒑	𝒆𝒑	NOUN
cana-4128	41	4	−	−	PROPN
cana-4128	41	5	𝟏	𝟏	NUM
cana-4128	41	6	𝒆𝒙𝒑𝒅𝒙	𝒆𝒙𝒑𝒅𝒙	PROPN
cana-4128	41	7	𝟏	𝟏	PROPN
cana-4128	41	8	𝟎	𝟎	PROPN
cana-4128	41	9	𝑬(𝑿	𝑬(𝑿	PROPN
cana-4128	41	10	)	)	PUNCT
cana-4128	41	11	=	=	PUNCT
cana-4128	41	12	(	(	PUNCT
cana-4128	41	13	𝒆𝒑(𝒑−𝟏)+𝟏	𝒆𝒑(𝒑−𝟏)+𝟏	NOUN
cana-4128	41	14	)	)	PUNCT
cana-4128	41	15	𝒑(𝒆𝒑−𝟏	𝒑(𝒆𝒑−𝟏	NUM
cana-4128	41	16	)	)	PUNCT
cana-4128	41	17	…	…	PUNCT
cana-4128	41	18	.(6	.(6	NOUN
cana-4128	41	19	)	)	PUNCT
cana-4128	41	20	𝝁𝟏	𝝁𝟏	NOUN
cana-4128	41	21	′	′	NOUN
cana-4128	41	22	=	=	SYM
cana-4128	41	23	𝑬(𝑿	𝑬(𝑿	NOUN
cana-4128	41	24	)	)	PUNCT
cana-4128	41	25	=	=	SYM
cana-4128	42	1	𝒆𝟐𝒑	𝒆𝟐𝒑	ADV
cana-4128	42	2	𝒆𝒑	𝒆𝒑	ADP
cana-4128	42	3	−	−	NUM
cana-4128	42	4	𝟏	𝟏	NUM
cana-4128	42	5	communications	communication	NOUN
cana-4128	42	6	on	on	ADP
cana-4128	42	7	applied	apply	VERB
cana-4128	42	8	nonlinear	nonlinear	ADJ
cana-4128	42	9	analysis	analysis	NOUN
cana-4128	42	10	issn	issn	NOUN
cana-4128	42	11	:	:	PUNCT
cana-4128	42	12	1074	1074	NUM
cana-4128	42	13	-	-	PUNCT
cana-4128	42	14	133x	133x	NUM
cana-4128	42	15	vol	vol	NOUN
cana-4128	42	16	32	32	NUM
cana-4128	42	17	no	no	NOUN
cana-4128	42	18	.	.	PUNCT
cana-4128	43	1	9s	9s	NUM
cana-4128	43	2	(	(	PUNCT
cana-4128	43	3	2025	2025	NUM
cana-4128	43	4	)	)	PUNCT
cana-4128	43	5	1228	1228	NUM
cana-4128	44	1	https://internationalpubls.com	https://internationalpubls.com	X
cana-4128	44	2	𝝁𝟐	𝝁𝟐	VERB
cana-4128	44	3	′	′	NUM
cana-4128	44	4	=	=	SYM
cana-4128	44	5	𝑬(𝑿	𝑬(𝑿	NOUN
cana-4128	44	6	)	)	PUNCT
cana-4128	44	7	=	=	SYM
cana-4128	44	8	𝟐𝒆𝟐𝒑	𝟐𝒆𝟐𝒑	NOUN
cana-4128	45	1	𝒑𝟐(𝒆𝒑	𝒑𝟐(𝒆𝒑	NUM
cana-4128	45	2	−	−	NUM
cana-4128	45	3	𝟏	𝟏	NUM
cana-4128	45	4	)	)	PUNCT
cana-4128	45	5	4.3	4.3	NUM
cana-4128	45	6	variance	variance	NOUN
cana-4128	45	7	since	since	SCONJ
cana-4128	45	8	variance	variance	NOUN
cana-4128	45	9	,	,	PUNCT
cana-4128	45	10	2	2	NUM
cana-4128	45	11	2	2	NUM
cana-4128	45	12	22	22	NUM
cana-4128	45	13	)	)	PUNCT
cana-4128	45	14	'	'	NUM
cana-4128	45	15	1	1	NUM
cana-4128	45	16	'	'	NUM
cana-4128	45	17	(	(	PUNCT
cana-4128	45	18	)	)	PUNCT
cana-4128	45	19	)	)	PUNCT
cana-4128	45	20	(	(	PUNCT
cana-4128	45	21	(	(	PUNCT
cana-4128	45	22	)	)	PUNCT
cana-4128	45	23	(	(	PUNCT
cana-4128	45	24	)	)	PUNCT
cana-4128	45	25	(	(	PUNCT
cana-4128	45	26			PROPN
cana-4128	45	27	−=−=	−=−=	NUM
cana-4128	45	28	xexexv	xexexv	NOUN
cana-4128	45	29	𝑽(𝑿	𝑽(𝑿	NOUN
cana-4128	45	30	)	)	PUNCT
cana-4128	45	31	=	=	SYM
cana-4128	46	1	2(𝑒𝑝−1)−𝑝2	2(𝑒𝑝−1)−𝑝2	NUM
cana-4128	46	2	𝑝2(𝑒𝑝−1)2	𝑝2(𝑒𝑝−1)2	NUM
cana-4128	46	3	…	…	PUNCT
cana-4128	46	4	..	..	PUNCT
cana-4128	46	5	(	(	PUNCT
cana-4128	46	6	7	7	X
cana-4128	46	7	)	)	PUNCT
cana-4128	46	8	4.4	4.4	NUM
cana-4128	46	9	median	median	NOUN
cana-4128	46	10	to	to	PART
cana-4128	46	11	obtain	obtain	VERB
cana-4128	46	12	the	the	DET
cana-4128	46	13	median	median	NOUN
cana-4128	46	14	we	we	PRON
cana-4128	46	15	proceed	proceed	VERB
cana-4128	46	16	as	as	SCONJ
cana-4128	46	17	follows	follow	VERB
cana-4128	46	18			NOUN
cana-4128	46	19	=	=	PUNCT
cana-4128	47	1	−	−	PROPN
cana-4128	47	2	−	−	PROPN
cana-4128	47	3	me	i	PRON
cana-4128	48	1	xd	xd	INTJ
cana-4128	48	2	p	p	NOUN
cana-4128	48	3	xp	xp	INTJ
cana-4128	48	4	0	0	NUM
cana-4128	48	5	2	2	NUM
cana-4128	48	6	1)1	1)1	NUM
cana-4128	48	7	(	(	PUNCT
cana-4128	48	8	2	2	NUM
cana-4128	48	9	11	11	NUM
cana-4128	48	10	=	=	SYM
cana-4128	48	11	−p	−p	NOUN
cana-4128	48	12	me	i	PRON
cana-4128	48	13	taking	take	VERB
cana-4128	48	14	log	log	NOUN
cana-4128	48	15	on	on	ADP
cana-4128	48	16	both	both	DET
cana-4128	48	17	sides	side	NOUN
cana-4128	48	18	;	;	PUNCT
cana-4128	48	19	we	we	PRON
cana-4128	48	20	get	get	VERB
cana-4128	48	21	2	2	NUM
cana-4128	48	22	1	1	NUM
cana-4128	48	23	lnln)1	lnln)1	NOUN
cana-4128	48	24	(	(	PUNCT
cana-4128	48	25	=	=	NOUN
cana-4128	49	1	−	−	PROPN
cana-4128	50	1	mep	mep	PROPN
cana-4128	51	1	p	p	PROPN
cana-4128	52	1	e	e	PROPN
cana-4128	52	2	me	i	PRON
cana-4128	52	3	−	−	ADP
cana-4128	52	4	−	−	PROPN
cana-4128	53	1	=	=	SYM
cana-4128	53	2	1	1	NUM
cana-4128	53	3	010.3	010.3	NUM
cana-4128	53	4	…	…	PUNCT
cana-4128	53	5	(	(	PUNCT
cana-4128	53	6	8)	8)	NUM
cana-4128	53	7	5	5	NUM
cana-4128	53	8	.	.	PUNCT
cana-4128	53	9	estimation	estimation	NOUN
cana-4128	53	10	of	of	ADP
cana-4128	53	11	parameter	parameter	NOUN
cana-4128	53	12	6.1	6.1	NUM
cana-4128	53	13	maximum	maximum	ADJ
cana-4128	53	14	likelihood	likelihood	NOUN
cana-4128	53	15	estimator	estimator	NOUN
cana-4128	53	16	of	of	ADP
cana-4128	53	17	parameter	parameter	PROPN
cana-4128	53	18	l=∏	l=∏	PROPN
cana-4128	53	19	𝑝.𝑒𝑥𝑝	𝑝.𝑒𝑥𝑝	PROPN
cana-4128	53	20	𝑒𝑝−1	𝑒𝑝−1	PROPN
cana-4128	53	21	𝑛	𝑛	PRON
cana-4128	53	22	𝑖=1	𝑖=1	PUNCT
cana-4128	53	23	=	=	PUNCT
cana-4128	53	24	𝑝𝑛	𝑝𝑛	PROPN
cana-4128	53	25	(	(	PUNCT
cana-4128	53	26	𝑒𝑝−1	𝑒𝑝−1	PROPN
cana-4128	53	27	)	)	PUNCT
cana-4128	53	28	𝑒𝑝	𝑒𝑝	PROPN
cana-4128	53	29	∑	∑	PROPN
cana-4128	53	30	𝑥𝑖	𝑥𝑖	ADP
cana-4128	53	31	𝑛	𝑛	PRON
cana-4128	53	32	𝑖=1	𝑖=1	PROPN
cana-4128	53	33	𝒍𝒏	𝒍𝒏	NOUN
cana-4128	53	34	𝑳	𝑳	NOUN
cana-4128	53	35	=	=	PUNCT
cana-4128	53	36	𝒏	𝒏	PROPN
cana-4128	53	37	𝒍𝒏	𝒍𝒏	VERB
cana-4128	53	38	𝒑	𝒑	PRON
cana-4128	53	39	−	−	PROPN
cana-4128	53	40	𝒏	𝒏	PROPN
cana-4128	53	41	𝒍𝒏(𝒆𝒑	𝒍𝒏(𝒆𝒑	PROPN
cana-4128	53	42	−	−	PROPN
cana-4128	53	43	𝟏	𝟏	NUM
cana-4128	53	44	)	)	PUNCT
cana-4128	53	45	+	+	CCONJ
cana-4128	54	1	𝒑	𝒑	X
cana-4128	54	2	∑	∑	PUNCT
cana-4128	54	3	𝒙𝒊	𝒙𝒊	PROPN
cana-4128	54	4	𝒏	𝒏	PROPN
cana-4128	54	5	𝒊=𝟏	𝒊=𝟏	PROPN
cana-4128	54	6	�	�	PROPN
cana-4128	54	7	̂	̂	VERB
cana-4128	54	8	�	�	NOUN
cana-4128	54	9	=	=	SYM
cana-4128	54	10	𝒏(𝒆𝒑	𝒏(𝒆𝒑	ADP
cana-4128	54	11	−	−	NUM
cana-4128	54	12	𝟏	𝟏	NUM
cana-4128	54	13	)	)	PUNCT
cana-4128	54	14	𝒏𝒆𝒑	𝒏𝒆𝒑	NOUN
cana-4128	54	15	+	+	CCONJ
cana-4128	54	16	(	(	PUNCT
cana-4128	54	17	𝒆𝒑	𝒆𝒑	INTJ
cana-4128	54	18	−	−	PROPN
cana-4128	54	19	𝟏	𝟏	NUM
cana-4128	54	20	)	)	PUNCT
cana-4128	54	21	∑	∑	ADP
cana-4128	54	22	𝒙𝒊	𝒙𝒊	PROPN
cana-4128	54	23	𝒏	𝒏	PROPN
cana-4128	54	24	𝒊=𝟏	𝒊=𝟏	NOUN
cana-4128	54	25	…	…	PUNCT
cana-4128	54	26	..	..	PUNCT
cana-4128	54	27	(	(	PUNCT
cana-4128	54	28	9	9	X
cana-4128	54	29	)	)	PUNCT
cana-4128	54	30	acknowledgment	acknowledgment	NOUN
cana-4128	54	31	authors	author	NOUN
cana-4128	54	32	are	be	AUX
cana-4128	54	33	grateful	grateful	ADJ
cana-4128	54	34	for	for	ADP
cana-4128	54	35	the	the	DET
cana-4128	54	36	cooperation	cooperation	NOUN
cana-4128	54	37	of	of	ADP
cana-4128	54	38	all	all	DET
cana-4128	54	39	colleagues	colleague	NOUN
cana-4128	54	40	during	during	ADP
cana-4128	54	41	the	the	DET
cana-4128	54	42	writing	writing	NOUN
cana-4128	54	43	of	of	ADP
cana-4128	54	44	this	this	DET
cana-4128	54	45	paper	paper	NOUN
cana-4128	54	46	.	.	PUNCT
cana-4128	55	1	communications	communication	NOUN
cana-4128	55	2	on	on	ADP
cana-4128	55	3	applied	apply	VERB
cana-4128	55	4	nonlinear	nonlinear	ADJ
cana-4128	55	5	analysis	analysis	NOUN
cana-4128	55	6	issn	issn	NOUN
cana-4128	55	7	:	:	PUNCT
cana-4128	55	8	1074	1074	NUM
cana-4128	55	9	-	-	PUNCT
cana-4128	55	10	133x	133x	NUM
cana-4128	55	11	vol	vol	NOUN
cana-4128	55	12	32	32	NUM
cana-4128	55	13	no	no	NOUN
cana-4128	55	14	.	.	PUNCT
cana-4128	56	1	9s	9s	NUM
cana-4128	56	2	(	(	PUNCT
cana-4128	56	3	2025	2025	NUM
cana-4128	56	4	)	)	PUNCT
cana-4128	56	5	1229	1229	NUM
cana-4128	57	1	https://internationalpubls.com	https://internationalpubls.com	X
cana-4128	57	2	references	reference	NOUN
cana-4128	57	3	1	1	NUM
cana-4128	57	4	.	.	PUNCT
cana-4128	57	5	s.p	s.p	PROPN
cana-4128	57	6	.	.	PROPN
cana-4128	57	7	mukerjee	mukerjee	PROPN
cana-4128	57	8	,	,	PUNCT
cana-4128	57	9	a.	a.	PROPN
cana-4128	57	10	islam	islam	PROPN
cana-4128	57	11	,	,	PUNCT
cana-4128	57	12	“	"	PUNCT
cana-4128	57	13	a	a	DET
cana-4128	57	14	finite	finite	ADJ
cana-4128	57	15	range	range	NOUN
cana-4128	57	16	distribution	distribution	NOUN
cana-4128	57	17	of	of	ADP
cana-4128	57	18	failure	failure	NOUN
cana-4128	57	19	times	time	NOUN
cana-4128	57	20	”	"	PUNCT
cana-4128	57	21	,	,	PUNCT
cana-4128	57	22	naval	naval	ADJ
cana-4128	57	23	research	research	NOUN
cana-4128	57	24	logistics	logistic	NOUN
cana-4128	57	25	quaterly	quaterly	ADV
cana-4128	57	26	,	,	PUNCT
cana-4128	57	27	30	30	NUM
cana-4128	57	28	(	(	PUNCT
cana-4128	57	29	1983	1983	NUM
cana-4128	57	30	)	)	PUNCT
cana-4128	57	31	,	,	PUNCT
cana-4128	57	32	487	487	NUM
cana-4128	57	33	-	-	SYM
cana-4128	57	34	491	491	NUM
cana-4128	57	35	2	2	NUM
cana-4128	57	36	.	.	X
cana-4128	58	1	siddiqui	siddiqui	NOUN
cana-4128	58	2	,	,	PUNCT
cana-4128	58	3	s.a	s.a	PROPN
cana-4128	58	4	.	.	PROPN
cana-4128	58	5	,	,	PUNCT
cana-4128	58	6	balkrishan	balkrishan	PROPN
cana-4128	58	7	,	,	PUNCT
cana-4128	58	8	gupta	gupta	PROPN
cana-4128	58	9	,	,	PUNCT
cana-4128	58	10	s.	s.	PROPN
cana-4128	58	11	,	,	PUNCT
cana-4128	58	12	and	and	CCONJ
cana-4128	58	13	subharwal	subharwal	NOUN
cana-4128	58	14	,	,	PUNCT
cana-4128	58	15	m.	m.	NOUN
cana-4128	58	16	,	,	PUNCT
cana-4128	58	17	”	"	PUNCT
cana-4128	58	18	a	a	DET
cana-4128	58	19	finite	finite	ADJ
cana-4128	58	20	range	range	NOUN
cana-4128	58	21	failure	failure	NOUN
cana-4128	58	22	model	model	NOUN
cana-4128	58	23	”	"	PUNCT
cana-4128	58	24	,	,	PUNCT
cana-4128	58	25	microelectron	microelectron	PROPN
cana-4128	58	26	&	&	CCONJ
cana-4128	58	27	reliability	reliability	NOUN
cana-4128	58	28	,	,	PUNCT
cana-4128	58	29	vol	vol	NOUN
cana-4128	58	30	.	.	PROPN
cana-4128	58	31	32	32	NUM
cana-4128	58	32	,	,	PUNCT
cana-4128	58	33	no	no	INTJ
cana-4128	58	34	.	.	NOUN
cana-4128	58	35	10	10	NUM
cana-4128	58	36	,	,	PUNCT
cana-4128	58	37	pp	pp	ADJ
cana-4128	58	38	.	.	PUNCT
cana-4128	58	39	14531457	14531457	NUM
cana-4128	58	40	(	(	PUNCT
cana-4128	58	41	1992	1992	NUM
cana-4128	58	42	)	)	PUNCT
cana-4128	58	43	.	.	PUNCT
cana-4128	59	1	3	3	X
cana-4128	59	2	.	.	X
cana-4128	59	3	siddiqui	siddiqui	PROPN
cana-4128	59	4	,	,	PUNCT
cana-4128	59	5	s.a	s.a	PROPN
cana-4128	59	6	.	.	PROPN
cana-4128	59	7	,	,	PUNCT
cana-4128	59	8	sabharwal	sabharwal	NOUN
cana-4128	59	9	,	,	PUNCT
cana-4128	59	10	m.	m.	NOUN
cana-4128	59	11	,	,	PUNCT
cana-4128	59	12	gupta	gupta	PROPN
cana-4128	59	13	,	,	PUNCT
cana-4128	59	14	s.and	s.and	NOUN
cana-4128	59	15	balkrishan	balkrishan	NOUN
cana-4128	59	16	,	,	PUNCT
cana-4128	59	17	”	"	PUNCT
cana-4128	59	18	finite	finite	PROPN
cana-4128	59	19	range	range	PROPN
cana-4128	59	20	survival	survival	PROPN
cana-4128	59	21	model	model	PROPN
cana-4128	59	22	”	"	PUNCT
cana-4128	59	23	,	,	PUNCT
cana-4128	59	24	microelectron	microelectron	PROPN
cana-4128	59	25	reliability	reliability	NOUN
cana-4128	59	26	.	.	PUNCT
cana-4128	59	27	,	,	PUNCT
cana-4128	59	28	vol.34	vol.34	PROPN
cana-4128	59	29	.	.	PROPN
cana-4128	59	30	,	,	PUNCT
cana-4128	59	31	no.8	no.8	PROPN
cana-4128	59	32	,	,	PUNCT
cana-4128	59	33	pp	pp	ADJ
cana-4128	59	34	.	.	PUNCT
cana-4128	60	1	1377	1377	NUM
cana-4128	60	2	-	-	SYM
cana-4128	60	3	1380.(1994	1380.(1994	NUM
cana-4128	60	4	)	)	PUNCT
cana-4128	60	5	4	4	NUM
cana-4128	60	6	.	.	X
cana-4128	61	1	siddiqui	siddiqui	PROPN
cana-4128	61	2	,	,	PUNCT
cana-4128	61	3	s.a	s.a	PROPN
cana-4128	61	4	.	.	PROPN
cana-4128	61	5	,	,	PUNCT
cana-4128	61	6	deoki	deoki	PROPN
cana-4128	61	7	,	,	PUNCT
cana-4128	61	8	n.	n.	NOUN
cana-4128	61	9	,	,	PUNCT
cana-4128	61	10	gupta	gupta	PROPN
cana-4128	61	11	,	,	PUNCT
cana-4128	61	12	s.	s.	PROPN
cana-4128	61	13	and	and	CCONJ
cana-4128	61	14	sabharwal	sabharwal	PROPN
cana-4128	61	15	,	,	PUNCT
cana-4128	61	16	m.	m.	NOUN
cana-4128	61	17	”a	”a	ADJ
cana-4128	61	18	new	new	ADJ
cana-4128	61	19	increasing	increase	VERB
cana-4128	61	20	rate	rate	NOUN
cana-4128	61	21	failure	failure	NOUN
cana-4128	61	22	model	model	NOUN
cana-4128	61	23	for	for	ADP
cana-4128	61	24	life	life	NOUN
cana-4128	61	25	time	time	NOUN
cana-4128	61	26	data”,microelectron	data”,microelectron	PROPN
cana-4128	61	27	reliability	reliability	NOUN
cana-4128	61	28	.	.	PUNCT
cana-4128	62	1	,	,	PUNCT
cana-4128	62	2	vol	vol	NOUN
cana-4128	62	3	.	.	PUNCT
cana-4128	63	1	35.,no.1	35.,no.1	NUM
cana-4128	63	2	,	,	PUNCT
cana-4128	63	3	pp	pp	ADJ
cana-4128	63	4	.	.	PUNCT
cana-4128	64	1	109	109	NUM
cana-4128	64	2	-111.(1995	-111.(1995	NOUN
cana-4128	64	3	)	)	PUNCT
cana-4128	64	4	5	5	NUM
cana-4128	64	5	.	.	X
cana-4128	65	1	siddiqui	siddiqui	PROPN
cana-4128	65	2	,	,	PUNCT
cana-4128	65	3	s.a	s.a	PROPN
cana-4128	65	4	,	,	PUNCT
cana-4128	65	5	jain	jain	PROPN
cana-4128	65	6	,	,	PUNCT
cana-4128	65	7	s.	s.	PROPN
cana-4128	65	8	,	,	PUNCT
cana-4128	65	9	siddiqui	siddiqui	NOUN
cana-4128	65	10	,	,	PUNCT
cana-4128	65	11	i.	i.	PROPN
cana-4128	65	12	,	,	PUNCT
cana-4128	65	13	khan	khan	PROPN
cana-4128	65	14	,	,	PUNCT
cana-4128	65	15	k.	k.	PROPN
cana-4128	65	16	and	and	CCONJ
cana-4128	65	17	alam	alam	PROPN
cana-4128	65	18	,	,	PUNCT
cana-4128	65	19	m.	m.	NOUN
cana-4128	65	20	:	:	PUNCT
cana-4128	65	21	“	"	PUNCT
cana-4128	65	22	characterization	characterization	NOUN
cana-4128	65	23	and	and	CCONJ
cana-4128	65	24	development	development	NOUN
cana-4128	65	25	of	of	ADP
cana-4128	65	26	a	a	DET
cana-4128	65	27	new	new	ADJ
cana-4128	65	28	failure	failure	NOUN
cana-4128	65	29	model	model	NOUN
cana-4128	65	30	”	"	PUNCT
cana-4128	65	31	,	,	PUNCT
cana-4128	65	32	journal	journal	NOUN
cana-4128	65	33	of	of	ADP
cana-4128	65	34	theoretical	theoretical	ADJ
cana-4128	65	35	and	and	CCONJ
cana-4128	65	36	applied	apply	VERB
cana-4128	65	37	information	information	NOUN
cana-4128	65	38	technology	technology	NOUN
cana-4128	65	39	,	,	PUNCT
cana-4128	65	40	10th	10th	ADJ
cana-4128	65	41	april	april	PROPN
cana-4128	65	42	.	.	PUNCT
cana-4128	66	1	vol.86	vol.86	NOUN
cana-4128	66	2	.	.	PUNCT
cana-4128	67	1	no.1	no.1	ADJ
cana-4128	67	2	,	,	PUNCT
cana-4128	67	3	87	87	NUM
cana-4128	67	4	-	-	SYM
cana-4128	67	5	95	95	NUM
cana-4128	67	6	,	,	PUNCT
cana-4128	67	7	(	(	PUNCT
cana-4128	67	8	2016	2016	NUM
cana-4128	67	9	)	)	PUNCT
cana-4128	67	10	6	6	NUM
cana-4128	67	11	.	.	PUNCT
cana-4128	68	1	.b.p	.b.p	X
cana-4128	68	2	.	.	PUNCT
cana-4128	69	1	roe	roe	PROPN
cana-4128	69	2	,	,	PUNCT
cana-4128	69	3	probability	probability	NOUN
cana-4128	69	4	and	and	CCONJ
cana-4128	69	5	statistics	statistic	NOUN
cana-4128	69	6	in	in	ADP
cana-4128	69	7	experimental	experimental	ADJ
cana-4128	69	8	physics	physics	PROPN
cana-4128	69	9	,	,	PUNCT
cana-4128	69	10	springer	springer	NOUN
cana-4128	69	11	,	,	PUNCT
cana-4128	69	12	2012	2012	NUM
cana-4128	69	13	https://doi.org/10.1007/978-1-4684-9296-5	https://doi.org/10.1007/978-1-4684-9296-5	PROPN
cana-4128	69	14	7	7	NUM
cana-4128	69	15	.	.	PUNCT
cana-4128	69	16	f.	f.	PROPN
cana-4128	69	17	reif	reif	PROPN
cana-4128	69	18	,	,	PUNCT
cana-4128	69	19	fundamentals	fundamental	NOUN
cana-4128	69	20	of	of	ADP
cana-4128	69	21	statistical	statistical	ADJ
cana-4128	69	22	and	and	CCONJ
cana-4128	69	23	thermal	thermal	ADJ
cana-4128	69	24	physics	physics	NOUN
cana-4128	69	25	,	,	PUNCT
cana-4128	69	26	waveland	waveland	PROPN
cana-4128	69	27	press	press	PROPN
cana-4128	69	28	,	,	PUNCT
cana-4128	69	29	(	(	PUNCT
cana-4128	69	30	2009	2009	NUM
cana-4128	69	31	)	)	PUNCT
cana-4128	69	32	.	.	PUNCT
cana-4128	70	1	8	8	X
cana-4128	70	2	.	.	PUNCT
cana-4128	70	3	a.	a.	PROPN
cana-4128	70	4	l.	l.	PROPN
cana-4128	70	5	kuzemsky	kuzemsky	PROPN
cana-4128	70	6	,	,	PUNCT
cana-4128	70	7	probability	probability	NOUN
cana-4128	70	8	,	,	PUNCT
cana-4128	70	9	information	information	NOUN
cana-4128	70	10	and	and	CCONJ
cana-4128	70	11	statistical	statistical	ADJ
cana-4128	70	12	physics	physics	NOUN
cana-4128	70	13	.	.	PUNCT
cana-4128	71	1	international	international	ADJ
cana-4128	71	2	journal	journal	PROPN
cana-4128	71	3	of	of	ADP
cana-4128	71	4	theoretical	theoretical	ADJ
cana-4128	71	5	physics	physics	NOUN
cana-4128	71	6	,	,	PUNCT
cana-4128	71	7	55	55	NUM
cana-4128	71	8	,	,	PUNCT
cana-4128	71	9	1378–1404	1378–1404	NUM
cana-4128	71	10	(	(	PUNCT
cana-4128	71	11	2016	2016	NUM
cana-4128	71	12	)	)	PUNCT
cana-4128	71	13	;	;	PUNCT
cana-4128	71	14	https://doi.org/10.1007/s10773-015-2779-8	https://doi.org/10.1007/s10773-015-2779-8	PROPN
cana-4128	71	15	9	9	NUM
cana-4128	71	16	.	.	PUNCT
cana-4128	71	17	m.	m.	PROPN
cana-4128	71	18	h.	h.	PROPN
cana-4128	71	19	michael	michael	PROPN
cana-4128	71	20	,	,	PUNCT
cana-4128	71	21	a.	a.	PROPN
cana-4128	71	22	jansky	jansky	PROPN
cana-4128	71	23	and	and	CCONJ
cana-4128	71	24	m.	m.	NOUN
cana-4128	71	25	hopf	hopf	ADJ
cana-4128	71	26	,	,	PUNCT
cana-4128	71	27	probability	probability	NOUN
cana-4128	71	28	-	-	PUNCT
cana-4128	71	29	related	relate	VERB
cana-4128	71	30	naïve	naïve	ADJ
cana-4128	71	31	ideas	idea	NOUN
cana-4128	71	32	across	across	ADP
cana-4128	71	33	physics	physics	NOUN
cana-4128	71	34	topics	topic	NOUN
cana-4128	71	35	,	,	PUNCT
cana-4128	71	36	studies	study	NOUN
cana-4128	71	37	in	in	ADP
cana-4128	71	38	science	science	NOUN
cana-4128	71	39	education	education	NOUN
cana-4128	71	40	,	,	PUNCT
cana-4128	71	41	57	57	NUM
cana-4128	71	42	(	(	PUNCT
cana-4128	71	43	1	1	NUM
cana-4128	71	44	)	)	PUNCT
cana-4128	71	45	,	,	PUNCT
cana-4128	71	46	45	45	NUM
cana-4128	71	47	-	-	SYM
cana-4128	71	48	83	83	NUM
cana-4128	71	49	(	(	PUNCT
cana-4128	71	50	2021	2021	NUM
cana-4128	71	51	)	)	PUNCT
cana-4128	71	52	;	;	PUNCT
cana-4128	72	1	https://doi.org/10.1080/03057267.2020.1757244	https://doi.org/10.1080/03057267.2020.1757244	PROPN
cana-4128	72	2	https://doi.org/10.1007/978-1-4684-9296-5	https://doi.org/10.1007/978-1-4684-9296-5	PROPN
cana-4128	72	3	https://doi.org/10.1007/s10773-015-2779-8	https://doi.org/10.1007/s10773-015-2779-8	VERB
cana-4128	72	4	https://doi.org/10.1080/03057267.2020.1757244	https://doi.org/10.1080/03057267.2020.1757244	PUNCT