id	sid	tid	token	lemma	pos
cana-3686	1	1	communications	communication	NOUN
cana-3686	1	2	on	on	ADP
cana-3686	1	3	applied	apply	VERB
cana-3686	1	4	nonlinear	nonlinear	ADJ
cana-3686	1	5	analysis	analysis	NOUN
cana-3686	1	6	issn	issn	NOUN
cana-3686	1	7	:	:	PUNCT
cana-3686	1	8	1074	1074	NUM
cana-3686	1	9	-	-	PUNCT
cana-3686	1	10	133x	133x	NUM
cana-3686	1	11	vol	vol	NOUN
cana-3686	1	12	32	32	NUM
cana-3686	1	13	no	no	NOUN
cana-3686	1	14	.	.	PUNCT
cana-3686	2	1	8s	8s	PROPN
cana-3686	2	2	(	(	PUNCT
cana-3686	2	3	2025	2025	NUM
cana-3686	2	4	)	)	PUNCT
cana-3686	2	5	420	420	NUM
cana-3686	2	6	https://internationalpubls.com	https://internationalpubls.com	NUM
cana-3686	2	7	mixed	mixed	ADJ
cana-3686	2	8	stereographic	stereographic	ADJ
cana-3686	2	9	circular	circular	ADJ
cana-3686	2	10	probability	probability	NOUN
cana-3686	2	11	model	model	NOUN
cana-3686	2	12	:	:	PUNCT
cana-3686	2	13	a	a	DET
cana-3686	2	14	comparative	comparative	ADJ
cana-3686	2	15	study	study	NOUN
cana-3686	2	16	using	use	VERB
cana-3686	2	17	m.	m.	NOUN
cana-3686	2	18	l	l	PROPN
cana-3686	2	19	estimation	estimation	NOUN
cana-3686	2	20	d.v	d.v	PROPN
cana-3686	2	21	.	.	PROPN
cana-3686	2	22	l.	l.	PROPN
cana-3686	2	23	prasanna1	prasanna1	PROPN
cana-3686	2	24	*	*	PROPN
cana-3686	2	25	,	,	PUNCT
cana-3686	2	26	r.	r.	PROPN
cana-3686	2	27	subba	subba	PROPN
cana-3686	2	28	rao2	rao2	PROPN
cana-3686	2	29	and	and	CCONJ
cana-3686	2	30	g.v	g.v	PROPN
cana-3686	2	31	.	.	PROPN
cana-3686	2	32	s.	s.	PROPN
cana-3686	2	33	r.	r.	PROPN
cana-3686	2	34	deekshitulu3	deekshitulu3	PROPN
cana-3686	2	35	1research	1research	NUM
cana-3686	2	36	scholar	scholar	NOUN
cana-3686	2	37	,	,	PUNCT
cana-3686	2	38	jntuk	jntuk	PROPN
cana-3686	2	39	,	,	PUNCT
cana-3686	2	40	kakinada	kakinada	PROPN
cana-3686	2	41	and	and	CCONJ
cana-3686	2	42	assistant	assistant	PROPN
cana-3686	2	43	professor	professor	NOUN
cana-3686	2	44	,	,	PUNCT
cana-3686	2	45	department	department	NOUN
cana-3686	2	46	of	of	ADP
cana-3686	2	47	mathematics	mathematics	PROPN
cana-3686	2	48	,	,	PUNCT
cana-3686	2	49	aditya	aditya	PROPN
cana-3686	2	50	university	university	PROPN
cana-3686	2	51	,	,	PUNCT
cana-3686	2	52	surampalem-533	surampalem-533	NOUN
cana-3686	2	53	437	437	NUM
cana-3686	2	54	,	,	PUNCT
cana-3686	2	55	a.	a.	NOUN
cana-3686	2	56	p	p	PROPN
cana-3686	2	57	,	,	PUNCT
cana-3686	2	58	india	india	PROPN
cana-3686	2	59	.	.	PUNCT
cana-3686	3	1	mail	mail	NOUN
cana-3686	3	2	:	:	PUNCT
cana-3686	3	3	lakshmisreee.21@gmail.com	lakshmisreee.21@gmail.com	PROPN
cana-3686	3	4	2	2	NUM
cana-3686	3	5	professor	professor	NOUN
cana-3686	3	6	,	,	PUNCT
cana-3686	3	7	department	department	NOUN
cana-3686	3	8	of	of	ADP
cana-3686	3	9	mathematics	mathematic	NOUN
cana-3686	3	10	,	,	PUNCT
cana-3686	3	11	s.r.k.r	s.r.k.r	PROPN
cana-3686	3	12	engineering	engineering	NOUN
cana-3686	3	13	college	college	NOUN
cana-3686	3	14	,	,	PUNCT
cana-3686	3	15	bhimavaram	bhimavaram	PROPN
cana-3686	3	16	,	,	PUNCT
cana-3686	3	17	a.p	a.p	PROPN
cana-3686	3	18	,	,	PUNCT
cana-3686	3	19	india	india	PROPN
cana-3686	3	20	.	.	PUNCT
cana-3686	4	1	mail	mail	NOUN
cana-3686	4	2	:	:	PUNCT
cana-3686	4	3	rsubbarao9@gmail.com	rsubbarao9@gmail.com	X
cana-3686	4	4	3	3	NUM
cana-3686	4	5	professor	professor	NOUN
cana-3686	4	6	,	,	PUNCT
cana-3686	4	7	department	department	NOUN
cana-3686	4	8	of	of	ADP
cana-3686	4	9	mathematics	mathematic	NOUN
cana-3686	4	10	,	,	PUNCT
cana-3686	4	11	j.n.t.u.k	j.n.t.u.k	NOUN
cana-3686	4	12	engineering	engineering	PROPN
cana-3686	4	13	college	college	PROPN
cana-3686	4	14	,	,	PUNCT
cana-3686	4	15	kakinada	kakinada	PROPN
cana-3686	4	16	,	,	PUNCT
cana-3686	4	17	a.p	a.p	PROPN
cana-3686	4	18	,	,	PUNCT
cana-3686	4	19	india	india	PROPN
cana-3686	4	20	.	.	PUNCT
cana-3686	5	1	mail	mail	NOUN
cana-3686	5	2	:	:	PUNCT
cana-3686	6	1	dixitgvsr@gmail.com	dixitgvsr@gmail.com	X
cana-3686	6	2	.	.	PUNCT
cana-3686	7	1	*	*	PUNCT
cana-3686	7	2	corresponding	correspond	VERB
cana-3686	7	3	author	author	NOUN
cana-3686	7	4	;	;	PUNCT
cana-3686	7	5	e	e	X
cana-3686	7	6	-	-	NOUN
cana-3686	7	7	mail	mail	NOUN
cana-3686	7	8	:	:	PUNCT
cana-3686	7	9	lakshmisreee.21@gmail.com	lakshmisreee.21@gmail.com	PROPN
cana-3686	7	10	article	article	PROPN
cana-3686	7	11	history	history	NOUN
cana-3686	7	12	:	:	PUNCT
cana-3686	7	13	received	receive	VERB
cana-3686	7	14	:	:	PUNCT
cana-3686	7	15	29	29	NUM
cana-3686	7	16	-	-	SYM
cana-3686	7	17	10	10	NUM
cana-3686	7	18	-	-	PUNCT
cana-3686	7	19	2024	2024	NUM
cana-3686	7	20	revised:02	revised:02	VERB
cana-3686	7	21	-	-	PUNCT
cana-3686	7	22	12	12	NUM
cana-3686	7	23	-	-	PUNCT
cana-3686	7	24	2024	2024	NUM
cana-3686	7	25	accepted:28	accepted:28	NUM
cana-3686	7	26	-	-	PUNCT
cana-3686	7	27	12	12	NUM
cana-3686	7	28	-	-	PUNCT
cana-3686	7	29	2024	2024	NUM
cana-3686	7	30	abstract	abstract	NOUN
cana-3686	7	31	:	:	PUNCT
cana-3686	7	32	now	now	ADV
cana-3686	7	33	a	a	DET
cana-3686	7	34	days	day	NOUN
cana-3686	7	35	,	,	PUNCT
cana-3686	7	36	circular	circular	ADJ
cana-3686	7	37	statistics	statistic	NOUN
cana-3686	7	38	has	have	VERB
cana-3686	7	39	a	a	DET
cana-3686	7	40	wide	wide	ADJ
cana-3686	7	41	range	range	NOUN
cana-3686	7	42	of	of	ADP
cana-3686	7	43	applications	application	NOUN
cana-3686	7	44	in	in	ADP
cana-3686	7	45	the	the	DET
cana-3686	7	46	fields	field	NOUN
cana-3686	7	47	of	of	ADP
cana-3686	7	48	engineering	engineering	NOUN
cana-3686	7	49	,	,	PUNCT
cana-3686	7	50	geosciences	geoscience	NOUN
cana-3686	7	51	,	,	PUNCT
cana-3686	7	52	environmental	environmental	ADJ
cana-3686	7	53	studies	study	NOUN
cana-3686	7	54	,	,	PUNCT
cana-3686	7	55	medicine	medicine	NOUN
cana-3686	7	56	,	,	PUNCT
cana-3686	7	57	psychology	psychology	NOUN
cana-3686	7	58	,	,	PUNCT
cana-3686	7	59	economics	economic	NOUN
cana-3686	7	60	and	and	CCONJ
cana-3686	7	61	finance	finance	NOUN
cana-3686	7	62	etc	etc	X
cana-3686	7	63	.	.	X
cana-3686	7	64	,	,	PUNCT
cana-3686	7	65	such	such	ADJ
cana-3686	7	66	as	as	ADP
cana-3686	7	67	analyzing	analyze	VERB
cana-3686	7	68	angular	angular	ADJ
cana-3686	7	69	movements	movement	NOUN
cana-3686	7	70	in	in	ADP
cana-3686	7	71	robotics	robotic	NOUN
cana-3686	7	72	,	,	PUNCT
cana-3686	7	73	orientations	orientation	NOUN
cana-3686	7	74	in	in	ADP
cana-3686	7	75	structural	structural	ADJ
cana-3686	7	76	engineering	engineering	NOUN
cana-3686	7	77	,	,	PUNCT
cana-3686	7	78	seismic	seismic	ADJ
cana-3686	7	79	wave	wave	NOUN
cana-3686	7	80	directions	direction	NOUN
cana-3686	7	81	,	,	PUNCT
cana-3686	7	82	water	water	NOUN
cana-3686	7	83	and	and	CCONJ
cana-3686	7	84	air	air	NOUN
cana-3686	7	85	flow	flow	NOUN
cana-3686	7	86	patterns	pattern	NOUN
cana-3686	7	87	,	,	PUNCT
cana-3686	7	88	brain	brain	NOUN
cana-3686	7	89	waves	wave	NOUN
cana-3686	7	90	in	in	ADP
cana-3686	7	91	eeg	eeg	NOUN
cana-3686	7	92	signals	signal	NOUN
cana-3686	7	93	,	,	PUNCT
cana-3686	7	94	eye	eye	NOUN
cana-3686	7	95	ball	ball	NOUN
cana-3686	7	96	movements	movement	NOUN
cana-3686	7	97	,	,	PUNCT
cana-3686	7	98	modeling	modeling	NOUN
cana-3686	7	99	of	of	ADP
cana-3686	7	100	economic	economic	ADJ
cana-3686	7	101	indicators	indicator	NOUN
cana-3686	7	102	behaviors	behavior	NOUN
cana-3686	7	103	which	which	PRON
cana-3686	7	104	can	can	AUX
cana-3686	7	105	not	not	PART
cana-3686	7	106	be	be	AUX
cana-3686	7	107	analyzed	analyze	VERB
cana-3686	7	108	using	use	VERB
cana-3686	7	109	linear	linear	ADJ
cana-3686	7	110	statistical	statistical	ADJ
cana-3686	7	111	methods	method	NOUN
cana-3686	7	112	as	as	SCONJ
cana-3686	7	113	the	the	DET
cana-3686	7	114	data	data	NOUN
cana-3686	7	115	involves	involve	VERB
cana-3686	7	116	periodic	periodic	ADJ
cana-3686	7	117	nature	nature	NOUN
cana-3686	7	118	.	.	PUNCT
cana-3686	8	1	many	many	ADJ
cana-3686	8	2	researchers	researcher	NOUN
cana-3686	8	3	have	have	AUX
cana-3686	8	4	presented	present	VERB
cana-3686	8	5	discrete	discrete	ADJ
cana-3686	8	6	and	and	CCONJ
cana-3686	8	7	continuous	continuous	ADJ
cana-3686	8	8	circular	circular	ADJ
cana-3686	8	9	probability	probability	NOUN
cana-3686	8	10	models	model	NOUN
cana-3686	8	11	;	;	PUNCT
cana-3686	8	12	their	their	PRON
cana-3686	8	13	properties	property	NOUN
cana-3686	8	14	are	be	AUX
cana-3686	8	15	discussed	discuss	VERB
cana-3686	8	16	.	.	PUNCT
cana-3686	9	1	by	by	ADP
cana-3686	9	2	combining	combine	VERB
cana-3686	9	3	two	two	NUM
cana-3686	9	4	distinct	distinct	ADJ
cana-3686	9	5	probability	probability	NOUN
cana-3686	9	6	distributions	distribution	NOUN
cana-3686	9	7	rather	rather	ADV
cana-3686	9	8	than	than	ADP
cana-3686	9	9	utilizing	utilize	VERB
cana-3686	9	10	a	a	DET
cana-3686	9	11	single	single	ADJ
cana-3686	9	12	probability	probability	NOUN
cana-3686	9	13	model	model	NOUN
cana-3686	9	14	,	,	PUNCT
cana-3686	9	15	the	the	DET
cana-3686	9	16	t	t	PROPN
cana-3686	9	17	-	-	PUNCT
cana-3686	9	18	x	x	NOUN
cana-3686	9	19	family	family	NOUN
cana-3686	9	20	of	of	ADP
cana-3686	9	21	probability	probability	NOUN
cana-3686	9	22	distributions	distribution	NOUN
cana-3686	9	23	is	be	AUX
cana-3686	9	24	intended	intend	VERB
cana-3686	9	25	to	to	PART
cana-3686	9	26	increase	increase	VERB
cana-3686	9	27	the	the	DET
cana-3686	9	28	efficiency	efficiency	NOUN
cana-3686	9	29	and	and	CCONJ
cana-3686	9	30	reduce	reduce	VERB
cana-3686	9	31	errors	error	NOUN
cana-3686	9	32	.	.	PUNCT
cana-3686	10	1	we	we	PRON
cana-3686	10	2	developed	develop	VERB
cana-3686	10	3	a	a	DET
cana-3686	10	4	mixed	mixed	ADJ
cana-3686	10	5	stereographic	stereographic	ADJ
cana-3686	10	6	circular	circular	ADJ
cana-3686	10	7	probability	probability	NOUN
cana-3686	10	8	model	model	NOUN
cana-3686	10	9	with	with	ADP
cana-3686	10	10	this	this	DET
cana-3686	10	11	interest	interest	NOUN
cana-3686	10	12	.	.	PUNCT
cana-3686	11	1	study	study	NOUN
cana-3686	11	2	is	be	AUX
cana-3686	11	3	done	do	VERB
cana-3686	11	4	on	on	ADP
cana-3686	11	5	same	same	ADJ
cana-3686	11	6	attributes	attribute	NOUN
cana-3686	11	7	.	.	PUNCT
cana-3686	12	1	the	the	DET
cana-3686	12	2	maximum	maximum	ADJ
cana-3686	12	3	likelihood	likelihood	NOUN
cana-3686	12	4	estimators	estimator	NOUN
cana-3686	12	5	,	,	PUNCT
cana-3686	12	6	aic	aic	PROPN
cana-3686	12	7	and	and	CCONJ
cana-3686	12	8	bic	bic	PROPN
cana-3686	12	9	values	value	NOUN
cana-3686	12	10	were	be	AUX
cana-3686	12	11	determined	determine	VERB
cana-3686	12	12	in	in	ADP
cana-3686	12	13	this	this	DET
cana-3686	12	14	study	study	NOUN
cana-3686	12	15	.	.	PUNCT
cana-3686	13	1	the	the	DET
cana-3686	13	2	model	model	NOUN
cana-3686	13	3	’s	’s	PART
cana-3686	13	4	output	output	NOUN
cana-3686	13	5	is	be	AUX
cana-3686	13	6	compared	compare	VERB
cana-3686	13	7	with	with	ADP
cana-3686	13	8	those	those	PRON
cana-3686	13	9	of	of	ADP
cana-3686	13	10	the	the	DET
cana-3686	13	11	current	current	ADJ
cana-3686	13	12	existing	exist	VERB
cana-3686	13	13	single	single	ADJ
cana-3686	13	14	circular	circular	ADJ
cana-3686	13	15	probability	probability	NOUN
cana-3686	13	16	models	model	NOUN
cana-3686	13	17	by	by	ADP
cana-3686	13	18	using	use	VERB
cana-3686	13	19	an	an	DET
cana-3686	13	20	eye	eye	NOUN
cana-3686	13	21	data	datum	NOUN
cana-3686	13	22	set	set	VERB
cana-3686	13	23	from	from	ADP
cana-3686	13	24	a	a	DET
cana-3686	13	25	glaucoma	glaucoma	NOUN
cana-3686	13	26	clinic	clinic	NOUN
cana-3686	13	27	at	at	ADP
cana-3686	13	28	the	the	DET
cana-3686	13	29	university	university	PROPN
cana-3686	13	30	of	of	ADP
cana-3686	13	31	malaya	malaya	PROPN
cana-3686	13	32	medical	medical	ADJ
cana-3686	13	33	centre	centre	PROPN
cana-3686	13	34	in	in	ADP
cana-3686	13	35	malaysia	malaysia	PROPN
cana-3686	13	36	.	.	PUNCT
cana-3686	14	1	keywords	keyword	NOUN
cana-3686	14	2	:	:	PUNCT
cana-3686	14	3	t	t	PROPN
cana-3686	14	4	-	-	PUNCT
cana-3686	14	5	x	x	NOUN
cana-3686	14	6	family	family	NOUN
cana-3686	14	7	,	,	PUNCT
cana-3686	14	8	inverse	inverse	ADJ
cana-3686	14	9	stereographic	stereographic	ADJ
cana-3686	14	10	projection	projection	NOUN
cana-3686	14	11	,	,	PUNCT
cana-3686	14	12	akaike	akaike	ADJ
cana-3686	14	13	information	information	NOUN
cana-3686	14	14	criteria	criterion	NOUN
cana-3686	14	15	,	,	PUNCT
cana-3686	14	16	maximum	maximum	ADJ
cana-3686	14	17	likelihood(m	likelihood(m	NUM
cana-3686	14	18	l	l	NOUN
cana-3686	14	19	)	)	PUNCT
cana-3686	14	20	estimators	estimator	NOUN
cana-3686	14	21	,	,	PUNCT
cana-3686	14	22	bayesian	bayesian	NOUN
cana-3686	14	23	information	information	NOUN
cana-3686	14	24	criteria	criterion	NOUN
cana-3686	14	25	.	.	PUNCT
cana-3686	15	1	1	1	X
cana-3686	15	2	.	.	X
cana-3686	15	3	introduction	introduction	NOUN
cana-3686	15	4	mardia	mardia	NOUN
cana-3686	15	5	and	and	CCONJ
cana-3686	15	6	jupp	jupp	PROPN
cana-3686	15	7	(	(	PUNCT
cana-3686	15	8	2000)[1	2000)[1	PROPN
cana-3686	15	9	]	]	X
cana-3686	15	10	,	,	PUNCT
cana-3686	15	11	jammalamadaka	jammalamadaka	PROPN
cana-3686	15	12	s.	s.	PROPN
cana-3686	15	13	rao	rao	PROPN
cana-3686	15	14	and	and	CCONJ
cana-3686	15	15	sen	sen	PROPN
cana-3686	15	16	gupta	gupta	PROPN
cana-3686	15	17	(	(	PUNCT
cana-3686	15	18	2001)[2	2001)[2	NUM
cana-3686	15	19	]	]	PUNCT
cana-3686	15	20	discussed	discuss	VERB
cana-3686	15	21	the	the	DET
cana-3686	15	22	methodologies	methodology	NOUN
cana-3686	15	23	like	like	ADP
cana-3686	15	24	wrapping	wrapping	NOUN
cana-3686	15	25	,	,	PUNCT
cana-3686	15	26	stereographic	stereographic	ADJ
cana-3686	15	27	projection	projection	NOUN
cana-3686	15	28	,	,	PUNCT
cana-3686	15	29	offset	offset	NOUN
cana-3686	15	30	,	,	PUNCT
cana-3686	15	31	and	and	CCONJ
cana-3686	15	32	increasing	increase	VERB
cana-3686	15	33	sun	sun	NOUN
cana-3686	15	34	function	function	NOUN
cana-3686	15	35	etc	etc	X
cana-3686	15	36	.	.	X
cana-3686	15	37	,	,	PUNCT
cana-3686	15	38	to	to	PART
cana-3686	15	39	develop	develop	VERB
cana-3686	15	40	circular	circular	ADJ
cana-3686	15	41	probability	probability	NOUN
cana-3686	15	42	models	model	NOUN
cana-3686	15	43	and	and	CCONJ
cana-3686	15	44	formulas	formula	NOUN
cana-3686	15	45	to	to	PART
cana-3686	15	46	evaluate	evaluate	VERB
cana-3686	15	47	the	the	DET
cana-3686	15	48	various	various	ADJ
cana-3686	15	49	characteristics	characteristic	NOUN
cana-3686	15	50	of	of	ADP
cana-3686	15	51	these	these	DET
cana-3686	15	52	models	model	NOUN
cana-3686	15	53	.	.	PUNCT
cana-3686	16	1	minh	minh	NOUN
cana-3686	16	2	and	and	CCONJ
cana-3686	16	3	farnum	farnum	PROPN
cana-3686	16	4	(	(	PUNCT
cana-3686	16	5	2003)[3	2003)[3	PROPN
cana-3686	16	6	]	]	PUNCT
cana-3686	16	7	developed	develop	VERB
cana-3686	16	8	‘	'	PUNCT
cana-3686	16	9	inverse	inverse	ADJ
cana-3686	16	10	stereographic	stereographic	ADJ
cana-3686	16	11	methodology	methodology	NOUN
cana-3686	16	12	’	'	PUNCT
cana-3686	16	13	using	use	VERB
cana-3686	16	14	bilinear	bilinear	ADJ
cana-3686	16	15	transformation	transformation	NOUN
cana-3686	16	16	to	to	PART
cana-3686	16	17	induce	induce	VERB
cana-3686	16	18	new	new	ADJ
cana-3686	16	19	circular	circular	ADJ
cana-3686	16	20	probability	probability	NOUN
cana-3686	16	21	models	model	NOUN
cana-3686	16	22	.	.	PUNCT
cana-3686	17	1	motivated	motivate	VERB
cana-3686	17	2	by	by	ADP
cana-3686	17	3	this	this	DET
cana-3686	17	4	toshihiro	toshihiro	NOUN
cana-3686	17	5	abe	abe	PROPN
cana-3686	17	6	et	et	PROPN
cana-3686	17	7	al	al	PROPN
cana-3686	17	8	.	.	PROPN
cana-3686	17	9	,	,	PUNCT
cana-3686	17	10	(	(	PUNCT
cana-3686	17	11	2010)[4	2010)[4	NUM
cana-3686	17	12	]	]	PUNCT
cana-3686	17	13	,	,	PUNCT
cana-3686	17	14	a.	a.	PROPN
cana-3686	17	15	v.	v.	PROPN
cana-3686	17	16	dattatreya	dattatreya	PROPN
cana-3686	17	17	rao	rao	PROPN
cana-3686	17	18	,	,	PUNCT
cana-3686	17	19	s.	s.	PROPN
cana-3686	17	20	v.	v.	PROPN
cana-3686	17	21	s.	s.	PROPN
cana-3686	17	22	girija	girija	PROPN
cana-3686	17	23	,	,	PUNCT
cana-3686	17	24	and	and	CCONJ
cana-3686	17	25	y.	y.	PROPN
cana-3686	17	26	phani(2006)[8	phani(2006)[8	PROPN
cana-3686	17	27	]	]	PUNCT
cana-3686	17	28	,	,	PUNCT
cana-3686	17	29	phani	phani	PROPN
cana-3686	17	30	yedlapalli	yedlapalli	PROPN
cana-3686	17	31	et	et	PROPN
cana-3686	17	32	al	al	PROPN
cana-3686	17	33	.	.	PROPN
cana-3686	17	34	,	,	PUNCT
cana-3686	17	35	(	(	PUNCT
cana-3686	17	36	2020)[14	2020)[14	NOUN
cana-3686	17	37	]	]	PUNCT
cana-3686	17	38	developed	develop	VERB
cana-3686	17	39	various	various	ADJ
cana-3686	17	40	circular	circular	ADJ
cana-3686	17	41	probability	probability	NOUN
cana-3686	17	42	models	model	NOUN
cana-3686	17	43	and	and	CCONJ
cana-3686	17	44	studied	study	VERB
cana-3686	17	45	their	their	PRON
cana-3686	17	46	characteristics	characteristic	NOUN
cana-3686	17	47	.	.	PUNCT
cana-3686	18	1	rao	rao	NOUN
cana-3686	18	2	av	av	PROPN
cana-3686	18	3	dattatreya	dattatreya	PROPN
cana-3686	18	4	,	,	PUNCT
cana-3686	18	5	and	and	CCONJ
cana-3686	18	6	s.	s.	PROPN
cana-3686	18	7	v.	v.	PROPN
cana-3686	18	8	s.	s.	PROPN
cana-3686	18	9	girija(2019)[12	girija(2019)[12	PROPN
cana-3686	18	10	]	]	PUNCT
cana-3686	18	11	published	publish	VERB
cana-3686	18	12	a	a	DET
cana-3686	18	13	book	book	NOUN
cana-3686	18	14	which	which	PRON
cana-3686	18	15	describes	describe	VERB
cana-3686	18	16	the	the	DET
cana-3686	18	17	research	research	NOUN
cana-3686	18	18	work	work	NOUN
cana-3686	18	19	done	do	VERB
cana-3686	18	20	in	in	ADP
cana-3686	18	21	circular	circular	ADJ
cana-3686	18	22	statistics	statistic	NOUN
cana-3686	18	23	in	in	ADP
cana-3686	18	24	various	various	ADJ
cana-3686	18	25	previously	previously	ADV
cana-3686	18	26	mentioned	mention	VERB
cana-3686	18	27	methodologies	methodology	NOUN
cana-3686	18	28	.	.	PUNCT
cana-3686	19	1	communications	communication	NOUN
cana-3686	19	2	on	on	ADP
cana-3686	19	3	applied	apply	VERB
cana-3686	19	4	nonlinear	nonlinear	ADJ
cana-3686	19	5	analysis	analysis	NOUN
cana-3686	19	6	issn	issn	NOUN
cana-3686	19	7	:	:	PUNCT
cana-3686	19	8	1074	1074	NUM
cana-3686	19	9	-	-	PUNCT
cana-3686	19	10	133x	133x	NUM
cana-3686	19	11	vol	vol	NOUN
cana-3686	19	12	32	32	NUM
cana-3686	19	13	no	no	NOUN
cana-3686	19	14	.	.	PUNCT
cana-3686	20	1	8s	8s	PROPN
cana-3686	20	2	(	(	PUNCT
cana-3686	20	3	2025	2025	NUM
cana-3686	20	4	)	)	PUNCT
cana-3686	20	5	421	421	NUM
cana-3686	20	6	https://internationalpubls.com	https://internationalpubls.com	NUM
cana-3686	20	7	transformed	transform	VERB
cana-3686	20	8	-	-	PUNCT
cana-3686	20	9	transformer	transformer	NOUN
cana-3686	20	10	families	family	NOUN
cana-3686	20	11	of	of	ADP
cana-3686	20	12	linear	linear	ADJ
cana-3686	20	13	probability	probability	NOUN
cana-3686	20	14	distributions	distribution	NOUN
cana-3686	20	15	are	be	AUX
cana-3686	20	16	developed	develop	VERB
cana-3686	20	17	to	to	PART
cana-3686	20	18	increase	increase	VERB
cana-3686	20	19	the	the	DET
cana-3686	20	20	efficiency	efficiency	NOUN
cana-3686	20	21	and	and	CCONJ
cana-3686	20	22	reduce	reduce	VERB
cana-3686	20	23	the	the	DET
cana-3686	20	24	errors	error	NOUN
cana-3686	20	25	rather	rather	ADV
cana-3686	20	26	than	than	ADP
cana-3686	20	27	utilizing	utilize	VERB
cana-3686	20	28	single	single	ADJ
cana-3686	20	29	probability	probability	NOUN
cana-3686	20	30	models	model	NOUN
cana-3686	20	31	.	.	PUNCT
cana-3686	21	1	alzaatreh	alzaatreh	NOUN
cana-3686	21	2	,	,	PUNCT
cana-3686	21	3	lee	lee	PROPN
cana-3686	21	4	et	et	PROPN
cana-3686	21	5	al	al	PROPN
cana-3686	21	6	.	.	PROPN
cana-3686	21	7	,(2013)[5	,(2013)[5	PROPN
cana-3686	21	8	]	]	PUNCT
cana-3686	21	9	developed	develop	VERB
cana-3686	21	10	a	a	DET
cana-3686	21	11	method	method	NOUN
cana-3686	21	12	for	for	ADP
cana-3686	21	13	inducing	induce	VERB
cana-3686	21	14	this	this	DET
cana-3686	21	15	type	type	NOUN
cana-3686	21	16	of	of	ADP
cana-3686	21	17	models	model	NOUN
cana-3686	21	18	using	use	VERB
cana-3686	21	19	quantile	quantile	ADJ
cana-3686	21	20	functions	function	NOUN
cana-3686	21	21	.	.	PUNCT
cana-3686	22	1	later	later	ADV
cana-3686	22	2	so	so	ADV
cana-3686	22	3	many	many	ADJ
cana-3686	22	4	researchers	researcher	NOUN
cana-3686	22	5	like	like	ADP
cana-3686	22	6	rambli	rambli	NOUN
cana-3686	22	7	,	,	PUNCT
cana-3686	22	8	adzhar	adzhar	PROPN
cana-3686	22	9	et	et	PROPN
cana-3686	22	10	al	al	PROPN
cana-3686	22	11	.	.	PROPN
cana-3686	22	12	,	,	PUNCT
cana-3686	22	13	(	(	PUNCT
cana-3686	22	14	2015)[6	2015)[6	NOUN
cana-3686	22	15	]	]	PUNCT
cana-3686	22	16	,	,	PUNCT
cana-3686	22	17	okasha	okasha	PROPN
cana-3686	22	18	,	,	PUNCT
cana-3686	22	19	mahmoud	mahmoud	PROPN
cana-3686	22	20	k	k	PROPN
cana-3686	22	21	et	et	PROPN
cana-3686	22	22	al	al	PROPN
cana-3686	22	23	.	.	PROPN
cana-3686	22	24	,	,	PUNCT
cana-3686	22	25	(	(	PUNCT
cana-3686	22	26	2015)[7	2015)[7	PROPN
cana-3686	22	27	]	]	X
cana-3686	22	28	,	,	PUNCT
cana-3686	22	29	r.	r.	PROPN
cana-3686	22	30	subba	subba	PROPN
cana-3686	22	31	rao	rao	PROPN
cana-3686	22	32	,	,	PUNCT
cana-3686	22	33	r.	r.	PROPN
cana-3686	22	34	r.	r.	PROPN
cana-3686	22	35	l.	l.	PROPN
cana-3686	22	36	kantam	kantam	PROPN
cana-3686	22	37	and	and	CCONJ
cana-3686	22	38	g.	g.	PROPN
cana-3686	22	39	prasad	prasad	PROPN
cana-3686	22	40	,	,	PUNCT
cana-3686	22	41	(	(	PUNCT
cana-3686	22	42	2016)[9	2016)[9	X
cana-3686	22	43	]	]	X
cana-3686	22	44	and	and	CCONJ
cana-3686	22	45	korkmaz	korkmaz	PROPN
cana-3686	22	46	,	,	PUNCT
cana-3686	22	47	mustafa	mustafa	PROPN
cana-3686	22	48	ç	ç	PROPN
cana-3686	22	49	et	et	PROPN
cana-3686	22	50	al	al	PROPN
cana-3686	22	51	.	.	PROPN
cana-3686	22	52	,(2017)[10	,(2017)[10	PUNCT
cana-3686	22	53	]	]	PUNCT
cana-3686	22	54	worked	work	VERB
cana-3686	22	55	on	on	ADP
cana-3686	22	56	mixed	mixed	ADJ
cana-3686	22	57	linear	linear	ADJ
cana-3686	22	58	probability	probability	NOUN
cana-3686	22	59	models	model	NOUN
cana-3686	22	60	.	.	PUNCT
cana-3686	23	1	new	new	ADJ
cana-3686	23	2	half	half	ADJ
cana-3686	23	3	circular	circular	ADJ
cana-3686	23	4	burr	burr	NOUN
cana-3686	23	5	type	type	NOUN
cana-3686	23	6	models	model	NOUN
cana-3686	23	7	were	be	AUX
cana-3686	23	8	induced	induce	VERB
cana-3686	23	9	by	by	ADP
cana-3686	23	10	rambli	rambli	NOUN
cana-3686	23	11	,	,	PUNCT
cana-3686	23	12	adzhar	adzhar	PROPN
cana-3686	23	13	,	,	PUNCT
cana-3686	23	14	et	et	PROPN
cana-3686	23	15	al	al	PROPN
cana-3686	23	16	.	.	PROPN
cana-3686	23	17	,(1029	,(1029	PUNCT
cana-3686	23	18	)	)	PUNCT
cana-3686	24	1	[	[	X
cana-3686	24	2	13],abuzaid	13],abuzaid	NUM
cana-3686	24	3	,	,	PUNCT
cana-3686	24	4	ali	ali	PROPN
cana-3686	24	5	h(2018)[11	h(2018)[11	PROPN
cana-3686	24	6	]	]	PUNCT
cana-3686	24	7	using	use	VERB
cana-3686	24	8	inverse	inverse	NOUN
cana-3686	24	9	stereographic	stereographic	ADJ
cana-3686	24	10	projection	projection	NOUN
cana-3686	24	11	and	and	CCONJ
cana-3686	24	12	the	the	DET
cana-3686	24	13	aic	aic	PROPN
cana-3686	24	14	,	,	PUNCT
cana-3686	24	15	bic	bic	PROPN
cana-3686	24	16	and	and	CCONJ
cana-3686	24	17	parameter	parameter	NOUN
cana-3686	24	18	values	value	NOUN
cana-3686	24	19	are	be	AUX
cana-3686	24	20	estimated	estimate	VERB
cana-3686	24	21	.	.	PUNCT
cana-3686	25	1	ayesha	ayesha	PROPN
cana-3686	25	2	iftikhar	iftikhar	PROPN
cana-3686	25	3	et	et	PROPN
cana-3686	25	4	al	al	PROPN
cana-3686	25	5	.	.	PROPN
cana-3686	25	6	,(2022)[15	,(2022)[15	PROPN
cana-3686	25	7	]	]	PUNCT
cana-3686	25	8	generated	generate	VERB
cana-3686	25	9	a	a	DET
cana-3686	25	10	modified	modify	VERB
cana-3686	25	11	hc	hc	PROPN
cana-3686	25	12	burr	burr	NOUN
cana-3686	25	13	iii	iii	NUM
cana-3686	25	14	distribution	distribution	NOUN
cana-3686	25	15	and	and	CCONJ
cana-3686	25	16	conducted	conduct	VERB
cana-3686	25	17	a	a	DET
cana-3686	25	18	comparative	comparative	ADJ
cana-3686	25	19	study	study	NOUN
cana-3686	25	20	with	with	ADP
cana-3686	25	21	the	the	DET
cana-3686	25	22	existing	exist	VERB
cana-3686	25	23	half	half	ADJ
cana-3686	25	24	circular	circular	ADJ
cana-3686	25	25	models	model	NOUN
cana-3686	25	26	.	.	PUNCT
cana-3686	26	1	section	section	NOUN
cana-3686	26	2	2	2	NUM
cana-3686	26	3	describes	describe	VERB
cana-3686	26	4	the	the	DET
cana-3686	26	5	fundamental	fundamental	ADJ
cana-3686	26	6	definitions	definition	NOUN
cana-3686	26	7	needed	need	VERB
cana-3686	26	8	for	for	ADP
cana-3686	26	9	this	this	DET
cana-3686	26	10	research	research	NOUN
cana-3686	26	11	work	work	NOUN
cana-3686	26	12	.	.	PUNCT
cana-3686	27	1	in	in	ADP
cana-3686	27	2	section	section	NOUN
cana-3686	27	3	3	3	NUM
cana-3686	27	4	parameters	parameter	NOUN
cana-3686	27	5	of	of	ADP
cana-3686	27	6	the	the	DET
cana-3686	27	7	stereographic	stereographic	ADJ
cana-3686	27	8	weibull	weibull	PROPN
cana-3686	27	9	rayleigh	rayleigh	PROPN
cana-3686	27	10	distribution	distribution	NOUN
cana-3686	27	11	(	(	PUNCT
cana-3686	27	12	swrd	swrd	NOUN
cana-3686	27	13	)	)	PUNCT
cana-3686	27	14	are	be	AUX
cana-3686	27	15	estimated	estimate	VERB
cana-3686	27	16	using	use	VERB
cana-3686	27	17	m	m	PROPN
cana-3686	27	18	l	l	NOUN
cana-3686	27	19	method	method	NOUN
cana-3686	27	20	of	of	ADP
cana-3686	27	21	estimation	estimation	NOUN
cana-3686	27	22	.	.	PUNCT
cana-3686	28	1	section	section	NOUN
cana-3686	28	2	4	4	NUM
cana-3686	28	3	shows	show	VERB
cana-3686	28	4	the	the	DET
cana-3686	28	5	comparative	comparative	ADJ
cana-3686	28	6	study	study	NOUN
cana-3686	28	7	of	of	ADP
cana-3686	28	8	swrd	swrd	NOUN
cana-3686	28	9	with	with	ADP
cana-3686	28	10	current	current	ADJ
cana-3686	28	11	existing	exist	VERB
cana-3686	28	12	circular	circular	ADJ
cana-3686	28	13	probability	probability	NOUN
cana-3686	28	14	models	model	NOUN
cana-3686	28	15	and	and	CCONJ
cana-3686	28	16	follows	follow	VERB
cana-3686	28	17	section	section	NOUN
cana-3686	28	18	5	5	NUM
cana-3686	28	19	discusses	discuss	VERB
cana-3686	28	20	the	the	DET
cana-3686	28	21	conclusion	conclusion	NOUN
cana-3686	28	22	and	and	CCONJ
cana-3686	28	23	scope	scope	NOUN
cana-3686	28	24	of	of	ADP
cana-3686	28	25	the	the	DET
cana-3686	28	26	work	work	NOUN
cana-3686	28	27	.	.	PUNCT
cana-3686	29	1	2	2	X
cana-3686	29	2	.	.	X
cana-3686	29	3	fundamental	fundamental	ADJ
cana-3686	29	4	definitions	definition	NOUN
cana-3686	29	5	t	t	PROPN
cana-3686	29	6	-	-	PUNCT
cana-3686	29	7	x	x	NOUN
cana-3686	29	8	family	family	NOUN
cana-3686	29	9	:	:	PUNCT
cana-3686	29	10	for	for	ADP
cana-3686	29	11	a	a	DET
cana-3686	29	12	random	random	ADJ
cana-3686	29	13	variable	variable	NOUN
cana-3686	29	14	x	x	NOUN
cana-3686	29	15	,	,	PUNCT
cana-3686	29	16	the	the	DET
cana-3686	29	17	t	t	PROPN
cana-3686	29	18	-	-	PUNCT
cana-3686	29	19	x	x	NOUN
cana-3686	29	20	class	class	NOUN
cana-3686	29	21	of	of	ADP
cana-3686	29	22	distributions	distribution	NOUN
cana-3686	29	23	’	'	PUNCT
cana-3686	29	24	probability	probability	NOUN
cana-3686	29	25	distribution	distribution	NOUN
cana-3686	29	26	function	function	NOUN
cana-3686	29	27	is	be	AUX
cana-3686	29	28	j(x	j(x	PROPN
cana-3686	29	29	)	)	PUNCT
cana-3686	30	1	=	=	SYM
cana-3686	30	2	∫	∫	PROPN
cana-3686	30	3	m(t)dt	m(t)dt	NOUN
cana-3686	30	4	=	=	PROPN
cana-3686	30	5	m{w(l(x	m{w(l(x	PROPN
cana-3686	30	6	)	)	PUNCT
cana-3686	30	7	)	)	PUNCT
cana-3686	30	8	}	}	PUNCT
cana-3686	30	9	w(l(x	w(l(x	PROPN
cana-3686	30	10	)	)	PUNCT
cana-3686	30	11	)	)	PUNCT
cana-3686	31	1	a	a	DET
cana-3686	31	2	(	(	PUNCT
cana-3686	31	3	2.1	2.1	NUM
cana-3686	31	4	)	)	PUNCT
cana-3686	31	5	and	and	CCONJ
cana-3686	31	6	the	the	DET
cana-3686	31	7	associated	associated	ADJ
cana-3686	31	8	density	density	NOUN
cana-3686	31	9	function	function	NOUN
cana-3686	31	10	is	be	AUX
cana-3686	31	11	j(x	j(x	PROPN
cana-3686	31	12	)	)	PUNCT
cana-3686	32	1	=	=	PUNCT
cana-3686	33	1	d	d	X
cana-3686	33	2	dx	dx	PROPN
cana-3686	33	3	w(l(x))m{w(l(x	w(l(x))m{w(l(x	PROPN
cana-3686	33	4	)	)	PUNCT
cana-3686	33	5	)	)	PUNCT
cana-3686	33	6	}	}	PUNCT
cana-3686	33	7	(	(	PUNCT
cana-3686	33	8	2.2	2.2	NUM
cana-3686	33	9	)	)	PUNCT
cana-3686	33	10	when	when	SCONJ
cana-3686	33	11	a	a	DET
cana-3686	33	12	continuous	continuous	ADJ
cana-3686	33	13	random	random	ADJ
cana-3686	33	14	variable	variable	ADJ
cana-3686	33	15	t>0	t>0	NOUN
cana-3686	33	16	specified	specify	VERB
cana-3686	33	17	on	on	ADP
cana-3686	33	18	[	[	X
cana-3686	33	19	0	0	NUM
cana-3686	33	20	,	,	PUNCT
cana-3686	33	21	∞	∞	PROPN
cana-3686	33	22	)	)	PUNCT
cana-3686	33	23	has	have	VERB
cana-3686	33	24	a	a	DET
cana-3686	33	25	cumulative	cumulative	ADJ
cana-3686	33	26	probability	probability	NOUN
cana-3686	33	27	distribution	distribution	NOUN
cana-3686	33	28	m(t	m(t	NOUN
cana-3686	33	29	)	)	PUNCT
cana-3686	33	30	and	and	CCONJ
cana-3686	33	31	a	a	DET
cana-3686	33	32	probability	probability	NOUN
cana-3686	33	33	density	density	NOUN
cana-3686	33	34	function	function	NOUN
cana-3686	33	35	m(t	m(t	PROPN
cana-3686	33	36	)	)	PUNCT
cana-3686	33	37	.	.	PUNCT
cana-3686	34	1	l(x	l(x	PROPN
cana-3686	34	2	)	)	PUNCT
cana-3686	34	3	is	be	AUX
cana-3686	34	4	the	the	DET
cana-3686	34	5	cumulative	cumulative	ADJ
cana-3686	34	6	distribution	distribution	NOUN
cana-3686	34	7	function	function	NOUN
cana-3686	34	8	of	of	ADP
cana-3686	34	9	a	a	DET
cana-3686	34	10	random	random	ADJ
cana-3686	34	11	variable	variable	NOUN
cana-3686	34	12	x.	x.	NOUN
cana-3686	34	13	maximum	maximum	ADJ
cana-3686	34	14	likelihood	likelihood	NOUN
cana-3686	34	15	estimators	estimator	NOUN
cana-3686	34	16	:	:	PUNCT
cana-3686	34	17	the	the	DET
cana-3686	34	18	most	most	ADV
cana-3686	34	19	common	common	ADJ
cana-3686	34	20	method	method	NOUN
cana-3686	34	21	for	for	ADP
cana-3686	34	22	estimating	estimate	VERB
cana-3686	34	23	the	the	DET
cana-3686	34	24	parameters	parameter	NOUN
cana-3686	34	25	of	of	ADP
cana-3686	34	26	the	the	DET
cana-3686	34	27	probability	probability	NOUN
cana-3686	34	28	model	model	NOUN
cana-3686	34	29	that	that	PRON
cana-3686	34	30	best	well	ADV
cana-3686	34	31	fits	fit	VERB
cana-3686	34	32	a	a	DET
cana-3686	34	33	given	give	VERB
cana-3686	34	34	data	datum	NOUN
cana-3686	34	35	set	set	VERB
cana-3686	34	36	is	be	AUX
cana-3686	34	37	maximum	maximum	ADJ
cana-3686	34	38	likelihood	likelihood	NOUN
cana-3686	34	39	estimation	estimation	NOUN
cana-3686	34	40	.	.	PUNCT
cana-3686	35	1	consider	consider	VERB
cana-3686	35	2	a	a	DET
cana-3686	35	3	random	random	ADJ
cana-3686	35	4	sample	sample	NOUN
cana-3686	35	5	of	of	ADP
cana-3686	35	6	size	size	NOUN
cana-3686	35	7	n	n	CCONJ
cana-3686	35	8	,	,	PUNCT
cana-3686	35	9	𝑧𝑇	𝑧𝑇	PUNCT
cana-3686	36	1	=	=	PUNCT
cana-3686	36	2	(	(	PUNCT
cana-3686	36	3	𝑧1	𝑧1	NOUN
cana-3686	36	4	,	,	PUNCT
cana-3686	36	5	𝑧2	𝑧2	PROPN
cana-3686	36	6	,	,	PUNCT
cana-3686	36	7	.	.	PUNCT
cana-3686	36	8	.	.	PUNCT
cana-3686	36	9	.	.	PUNCT
cana-3686	37	1	,	,	PUNCT
cana-3686	37	2	𝑧𝑛	𝑧𝑛	PROPN
cana-3686	37	3	)	)	PUNCT
cana-3686	37	4	,	,	PUNCT
cana-3686	37	5	taken	take	VERB
cana-3686	37	6	from	from	ADP
cana-3686	37	7	a	a	DET
cana-3686	37	8	population	population	NOUN
cana-3686	37	9	with	with	ADP
cana-3686	37	10	distribution𝑓	distribution𝑓	PROPN
cana-3686	37	11	(	(	PUNCT
cana-3686	37	12	.	.	PUNCT
cana-3686	37	13	∅⁄	∅⁄	PROPN
cana-3686	37	14	)	)	PUNCT
cana-3686	37	15	,	,	PUNCT
cana-3686	37	16	with	with	ADP
cana-3686	37	17	∅	∅	NOUN
cana-3686	37	18	,	,	PUNCT
cana-3686	37	19	a	a	DET
cana-3686	37	20	vector	vector	NOUN
cana-3686	37	21	of	of	ADP
cana-3686	37	22	parameters	parameter	NOUN
cana-3686	37	23	.	.	PUNCT
cana-3686	38	1	∅	∅	NOUN
cana-3686	38	2	has	have	VERB
cana-3686	38	3	the	the	DET
cana-3686	38	4	likelihood	likelihood	NOUN
cana-3686	38	5	function	function	NOUN
cana-3686	38	6	𝐿	𝐿	PROPN
cana-3686	38	7	(	(	PUNCT
cana-3686	38	8	∅	∅	NOUN
cana-3686	38	9	𝑧⁄	𝑧⁄	PROPN
cana-3686	38	10	)	)	PUNCT
cana-3686	39	1	=	=	SYM
cana-3686	39	2	∏	∏	PROPN
cana-3686	39	3	𝑓	𝑓	PROPN
cana-3686	39	4	(	(	PUNCT
cana-3686	39	5	𝑧𝑖	𝑧𝑖	INTJ
cana-3686	39	6	∅⁄	∅⁄	NOUN
cana-3686	39	7	)	)	PUNCT
cana-3686	39	8	𝑛	𝑛	PRON
cana-3686	39	9	𝑖=1	𝑖=1	PROPN
cana-3686	39	10	.	.	PUNCT
cana-3686	40	1	the	the	DET
cana-3686	40	2	log	log	NOUN
cana-3686	40	3	-	-	PUNCT
cana-3686	40	4	likelihood	likelihood	NOUN
cana-3686	40	5	function	function	NOUN
cana-3686	40	6	𝑙𝑜𝑔𝐿	𝑙𝑜𝑔𝐿	ADV
cana-3686	40	7	(	(	PUNCT
cana-3686	40	8	∅	∅	NOUN
cana-3686	40	9	𝑧⁄	𝑧⁄	PROPN
cana-3686	40	10	)	)	PUNCT
cana-3686	40	11	can	can	AUX
cana-3686	40	12	be	be	AUX
cana-3686	40	13	maximized	maximize	VERB
cana-3686	40	14	to	to	PART
cana-3686	40	15	estimate	estimate	VERB
cana-3686	40	16	the	the	DET
cana-3686	40	17	parameters	parameter	NOUN
cana-3686	40	18	.	.	PUNCT
cana-3686	41	1	akaike	akaike	ADJ
cana-3686	41	2	information	information	NOUN
cana-3686	41	3	criteria	criterion	NOUN
cana-3686	41	4	:	:	PUNCT
cana-3686	41	5	a	a	DET
cana-3686	41	6	statistical	statistical	ADJ
cana-3686	41	7	measure	measure	NOUN
cana-3686	41	8	called	call	VERB
cana-3686	41	9	the	the	DET
cana-3686	41	10	akaike	akaike	ADJ
cana-3686	41	11	information	information	NOUN
cana-3686	41	12	criterion	criterion	NOUN
cana-3686	41	13	(	(	PUNCT
cana-3686	41	14	aic	aic	PROPN
cana-3686	41	15	)	)	PUNCT
cana-3686	41	16	is	be	AUX
cana-3686	41	17	used	use	VERB
cana-3686	41	18	to	to	PART
cana-3686	41	19	assess	assess	VERB
cana-3686	41	20	and	and	CCONJ
cana-3686	41	21	contrast	contrast	VERB
cana-3686	41	22	various	various	ADJ
cana-3686	41	23	models	model	NOUN
cana-3686	41	24	according	accord	VERB
cana-3686	41	25	to	to	ADP
cana-3686	41	26	their	their	PRON
cana-3686	41	27	complexity	complexity	NOUN
cana-3686	41	28	and	and	CCONJ
cana-3686	41	29	goodness	goodness	NOUN
cana-3686	41	30	of	of	ADP
cana-3686	41	31	fit	fit	PROPN
cana-3686	41	32	.	.	PUNCT
cana-3686	42	1	a	a	DET
cana-3686	42	2	better	well	ADJ
cana-3686	42	3	trade	trade	NOUN
cana-3686	42	4	-	-	PUNCT
cana-3686	42	5	off	off	NOUN
cana-3686	42	6	between	between	ADP
cana-3686	42	7	model	model	NOUN
cana-3686	42	8	fit	fit	ADJ
cana-3686	42	9	and	and	CCONJ
cana-3686	42	10	complexity	complexity	NOUN
cana-3686	42	11	is	be	AUX
cana-3686	42	12	indicated	indicate	VERB
cana-3686	42	13	by	by	ADP
cana-3686	42	14	lower	low	ADJ
cana-3686	42	15	aic	aic	PROPN
cana-3686	42	16	values	value	NOUN
cana-3686	42	17	.	.	PUNCT
cana-3686	43	1	in	in	ADP
cana-3686	43	2	most	most	ADJ
cana-3686	43	3	cases	case	NOUN
cana-3686	43	4	,	,	PUNCT
cana-3686	43	5	the	the	DET
cana-3686	43	6	model	model	NOUN
cana-3686	43	7	with	with	ADP
cana-3686	43	8	the	the	DET
cana-3686	43	9	lowest	low	ADJ
cana-3686	43	10	aic	aic	PROPN
cana-3686	43	11	is	be	AUX
cana-3686	43	12	chosen	choose	VERB
cana-3686	43	13	when	when	SCONJ
cana-3686	43	14	evaluation	evaluation	NOUN
cana-3686	43	15	different	different	ADJ
cana-3686	43	16	models	model	NOUN
cana-3686	43	17	.	.	PUNCT
cana-3686	44	1	the	the	DET
cana-3686	44	2	formula	formula	NOUN
cana-3686	44	3	for	for	ADP
cana-3686	44	4	calculating	calculate	VERB
cana-3686	44	5	aic	aic	PROPN
cana-3686	44	6	is	be	AUX
cana-3686	44	7	communications	communication	NOUN
cana-3686	44	8	on	on	ADP
cana-3686	44	9	applied	apply	VERB
cana-3686	44	10	nonlinear	nonlinear	ADJ
cana-3686	44	11	analysis	analysis	NOUN
cana-3686	44	12	issn	issn	NOUN
cana-3686	44	13	:	:	PUNCT
cana-3686	44	14	1074	1074	NUM
cana-3686	44	15	-	-	PUNCT
cana-3686	44	16	133x	133x	NUM
cana-3686	44	17	vol	vol	NOUN
cana-3686	44	18	32	32	NUM
cana-3686	44	19	no	no	NOUN
cana-3686	44	20	.	.	PUNCT
cana-3686	45	1	8s	8s	PROPN
cana-3686	45	2	(	(	PUNCT
cana-3686	45	3	2025	2025	NUM
cana-3686	45	4	)	)	PUNCT
cana-3686	45	5	422	422	NUM
cana-3686	46	1	https://internationalpubls.com	https://internationalpubls.com	X
cana-3686	46	2	𝐴𝐼𝐶	𝐴𝐼𝐶	PROPN
cana-3686	46	3	=	=	PUNCT
cana-3686	46	4	2𝑘	2𝑘	NUM
cana-3686	46	5	−	−	PROPN
cana-3686	46	6	2𝑙𝑛	2𝑙𝑛	ADJ
cana-3686	46	7	�	�	PROPN
cana-3686	46	8	̂	̂	VERB
cana-3686	46	9	�	�	PROPN
cana-3686	46	10	bayesian	bayesian	NOUN
cana-3686	46	11	information	information	NOUN
cana-3686	46	12	criteria	criterion	NOUN
cana-3686	46	13	:	:	PUNCT
cana-3686	46	14	a	a	DET
cana-3686	46	15	statistical	statistical	ADJ
cana-3686	46	16	measure	measure	NOUN
cana-3686	46	17	called	call	VERB
cana-3686	46	18	the	the	DET
cana-3686	46	19	bayesian	bayesian	NOUN
cana-3686	46	20	information	information	NOUN
cana-3686	46	21	criterion	criterion	NOUN
cana-3686	46	22	(	(	PUNCT
cana-3686	46	23	bic	bic	PROPN
cana-3686	46	24	)	)	PUNCT
cana-3686	46	25	is	be	AUX
cana-3686	46	26	used	use	VERB
cana-3686	46	27	to	to	PART
cana-3686	46	28	assess	assess	VERB
cana-3686	46	29	a	a	DET
cana-3686	46	30	model	model	NOUN
cana-3686	46	31	’s	’s	PART
cana-3686	46	32	goodness	goodness	NOUN
cana-3686	46	33	of	of	ADP
cana-3686	46	34	fit	fit	ADJ
cana-3686	46	35	while	while	SCONJ
cana-3686	46	36	penalizing	penalize	VERB
cana-3686	46	37	for	for	ADP
cana-3686	46	38	model	model	NOUN
cana-3686	46	39	complexity	complexity	NOUN
cana-3686	46	40	to	to	PART
cana-3686	46	41	prevent	prevent	VERB
cana-3686	46	42	over	over	ADP
cana-3686	46	43	fitting	fitting	ADJ
cana-3686	46	44	.	.	PUNCT
cana-3686	47	1	𝐵𝐼𝐶	𝐵𝐼𝐶	PROPN
cana-3686	47	2	=	=	SYM
cana-3686	47	3	𝑘𝑙𝑛(𝑛	𝑘𝑙𝑛(𝑛	PROPN
cana-3686	47	4	)	)	PUNCT
cana-3686	48	1	−	−	PROPN
cana-3686	48	2	2𝑙𝑛	2𝑙𝑛	ADJ
cana-3686	48	3	�	�	PROPN
cana-3686	48	4	̂	̂	PROPN
cana-3686	48	5	�	�	NOUN
cana-3686	48	6	where	where	SCONJ
cana-3686	48	7	𝑘	𝑘	PROPN
cana-3686	48	8	is	be	AUX
cana-3686	48	9	the	the	DET
cana-3686	48	10	parameters	parameter	NOUN
cana-3686	48	11	count	count	VERB
cana-3686	48	12	,	,	PUNCT
cana-3686	48	13	n	n	X
cana-3686	48	14	is	be	AUX
cana-3686	48	15	the	the	DET
cana-3686	48	16	number	number	NOUN
cana-3686	48	17	of	of	ADP
cana-3686	48	18	data	datum	NOUN
cana-3686	48	19	points	point	NOUN
cana-3686	48	20	,	,	PUNCT
cana-3686	48	21	and	and	CCONJ
cana-3686	48	22	�	�	PROPN
cana-3686	48	23	̂	̂	VERB
cana-3686	48	24	�	�	NOUN
cana-3686	48	25	is	be	AUX
cana-3686	48	26	the	the	DET
cana-3686	48	27	model	model	NOUN
cana-3686	48	28	’s	’s	PART
cana-3686	48	29	m	m	PROPN
cana-3686	48	30	l	l	NOUN
cana-3686	48	31	function	function	NOUN
cana-3686	48	32	value	value	NOUN
cana-3686	48	33	inverse	inverse	NOUN
cana-3686	48	34	stereographic	stereographic	ADJ
cana-3686	48	35	projection	projection	NOUN
cana-3686	48	36	:	:	PUNCT
cana-3686	48	37	inverse	inverse	ADJ
cana-3686	48	38	stereographic	stereographic	ADJ
cana-3686	48	39	projection	projection	NOUN
cana-3686	48	40	is	be	AUX
cana-3686	48	41	defined	define	VERB
cana-3686	48	42	as	as	ADP
cana-3686	48	43	a	a	DET
cana-3686	48	44	one	one	NUM
cana-3686	48	45	-	-	PUNCT
cana-3686	48	46	to	to	ADP
cana-3686	48	47	-	-	PUNCT
cana-3686	48	48	one	one	NUM
cana-3686	48	49	mapping	mapping	NOUN
cana-3686	48	50	that	that	PRON
cana-3686	48	51	is	be	AUX
cana-3686	48	52	given	give	VERB
cana-3686	48	53	by	by	ADP
cana-3686	48	54	,	,	PUNCT
cana-3686	48	55	𝑇(ф	𝑇(ф	NOUN
cana-3686	48	56	)	)	PUNCT
cana-3686	48	57	=	=	SYM
cana-3686	48	58	𝑦	𝑦	NOUN
cana-3686	48	59	=	=	SYM
cana-3686	48	60	𝑘	𝑘	PROPN
cana-3686	48	61	+	+	CCONJ
cana-3686	48	62	𝑙	𝑙	DET
cana-3686	48	63	𝑠𝑖𝑛ф	𝑠𝑖𝑛ф	NOUN
cana-3686	48	64	1+𝑐𝑜𝑠ф	1+𝑐𝑜𝑠ф	NOUN
cana-3686	48	65	=	=	SYM
cana-3686	48	66	𝑘	𝑘	PROPN
cana-3686	48	67	+	+	NUM
cana-3686	48	68	𝑙𝑡𝑎𝑛	𝑙𝑡𝑎𝑛	X
cana-3686	48	69	(	(	PUNCT
cana-3686	48	70	ф	ф	PROPN
cana-3686	48	71	2	2	NUM
cana-3686	48	72	)	)	PUNCT
cana-3686	48	73	where	where	SCONJ
cana-3686	48	74	y∈(-∞	y∈(-∞	PROPN
cana-3686	48	75	,	,	PUNCT
cana-3686	48	76	∞	∞	PROPN
cana-3686	48	77	)	)	PUNCT
cana-3686	48	78	,	,	PUNCT
cana-3686	48	79	ф∈[-π	ф∈[-π	PROPN
cana-3686	48	80	,	,	PUNCT
cana-3686	48	81	π	π	PROPN
cana-3686	48	82	)	)	PUNCT
cana-3686	48	83	,	,	PUNCT
cana-3686	48	84	k∈r	k∈r	X
cana-3686	48	85	,	,	PUNCT
cana-3686	48	86	and	and	CCONJ
cana-3686	48	87	l>0	l>0	NOUN
cana-3686	48	88	.	.	PUNCT
cana-3686	49	1	(	(	PUNCT
cana-3686	49	2	2.3	2.3	NUM
cana-3686	49	3	)	)	PUNCT
cana-3686	49	4	then	then	ADV
cana-3686	49	5	by	by	ADP
cana-3686	49	6	minh	minh	NOUN
cana-3686	49	7	and	and	CCONJ
cana-3686	49	8	farnum(2003)[4	farnum(2003)[4	PROPN
cana-3686	49	9	]	]	X
cana-3686	49	10	𝑇−1(𝑦	𝑇−1(𝑦	PROPN
cana-3686	49	11	)	)	PUNCT
cana-3686	50	1	=	=	PUNCT
cana-3686	51	1	ф	ф	NOUN
cana-3686	51	2	=	=	SYM
cana-3686	51	3	2𝑡𝑎𝑛−1	2𝑡𝑎𝑛−1	PROPN
cana-3686	51	4	(	(	PUNCT
cana-3686	51	5	𝑦−𝑘	𝑦−𝑘	NOUN
cana-3686	51	6	𝑙	𝑙	X
cana-3686	51	7	)	)	PUNCT
cana-3686	51	8	(	(	PUNCT
cana-3686	51	9	2.4	2.4	NUM
cana-3686	51	10	)	)	PUNCT
cana-3686	51	11	is	be	AUX
cana-3686	51	12	a	a	DET
cana-3686	51	13	random	random	ADJ
cana-3686	51	14	point	point	NOUN
cana-3686	51	15	on	on	ADP
cana-3686	51	16	the	the	DET
cana-3686	51	17	unit	unit	NOUN
cana-3686	51	18	circle	circle	NOUN
cana-3686	51	19	.	.	PUNCT
cana-3686	52	1	stereographic	stereographic	ADJ
cana-3686	52	2	weibull	weibull	PROPN
cana-3686	52	3	rayleigh	rayleigh	PROPN
cana-3686	52	4	distribution	distribution	NOUN
cana-3686	52	5	:	:	PUNCT
cana-3686	52	6	if	if	SCONJ
cana-3686	52	7	the	the	DET
cana-3686	52	8	probability	probability	NOUN
cana-3686	52	9	density	density	NOUN
cana-3686	52	10	function	function	NOUN
cana-3686	52	11	and	and	CCONJ
cana-3686	52	12	distribution	distribution	NOUN
cana-3686	52	13	function	function	NOUN
cana-3686	52	14	of	of	ADP
cana-3686	52	15	a	a	DET
cana-3686	52	16	random	random	ADJ
cana-3686	52	17	variable	variable	NOUN
cana-3686	52	18	𝜃	𝜃	NOUN
cana-3686	52	19	on	on	ADP
cana-3686	52	20	a	a	DET
cana-3686	52	21	unit	unit	NOUN
cana-3686	52	22	circle	circle	NOUN
cana-3686	52	23	are	be	AUX
cana-3686	52	24	,	,	PUNCT
cana-3686	52	25	respectively	respectively	ADV
cana-3686	52	26	,	,	PUNCT
cana-3686	52	27	defined	define	VERB
cana-3686	52	28	by	by	ADP
cana-3686	52	29	,	,	PUNCT
cana-3686	52	30	ℎ(𝜃	ℎ(𝜃	PROPN
cana-3686	52	31	;	;	PUNCT
cana-3686	52	32	𝛼	𝛼	X
cana-3686	52	33	,	,	PUNCT
cana-3686	52	34	𝜆	𝜆	X
cana-3686	52	35	)	)	PUNCT
cana-3686	52	36	=	=	SYM
cana-3686	52	37	𝑙2𝛼	𝑙2𝛼	PROPN
cana-3686	52	38	2𝜆𝑝2	2𝜆𝑝2	NUM
cana-3686	52	39	𝑡𝑎𝑛	𝑡𝑎𝑛	NOUN
cana-3686	52	40	(	(	PUNCT
cana-3686	52	41	𝜃	𝜃	NOUN
cana-3686	52	42	2	2	X
cana-3686	52	43	)	)	PUNCT
cana-3686	52	44	𝑠𝑒𝑐2	𝑠𝑒𝑐2	NOUN
cana-3686	52	45	𝜃	𝜃	NUM
cana-3686	52	46	2	2	NUM
cana-3686	52	47	(	(	PUNCT
cana-3686	52	48	𝑙2	𝑙2	PROPN
cana-3686	52	49	2𝜆𝑝2	2𝜆𝑝2	NUM
cana-3686	52	50	𝑡𝑎𝑛2	𝑡𝑎𝑛2	NOUN
cana-3686	52	51	(	(	PUNCT
cana-3686	52	52	𝜃	𝜃	NOUN
cana-3686	52	53	2	2	NUM
cana-3686	52	54	)	)	PUNCT
cana-3686	52	55	)	)	PUNCT
cana-3686	53	1	𝛼−1	𝛼−1	PRON
cana-3686	53	2	𝒆	𝒆	PROPN
cana-3686	53	3	−	−	PROPN
cana-3686	53	4	(	(	PUNCT
cana-3686	53	5	𝒍𝟐	𝒍𝟐	PROPN
cana-3686	53	6	𝟐𝝀𝒑𝟐	𝟐𝝀𝒑𝟐	INTJ
cana-3686	53	7	𝒕𝒂𝒏𝟐	𝒕𝒂𝒏𝟐	PROPN
cana-3686	53	8	(	(	PUNCT
cana-3686	53	9	𝜽	𝜽	ADP
cana-3686	53	10	𝟐	𝟐	NUM
cana-3686	53	11	)	)	PUNCT
cana-3686	53	12	)	)	PUNCT
cana-3686	53	13	𝜶	𝜶	NOUN
cana-3686	53	14	,	,	PUNCT
cana-3686	53	15	(	(	PUNCT
cana-3686	53	16	2.5	2.5	NUM
cana-3686	53	17	)	)	PUNCT
cana-3686	53	18	𝛼	𝛼	PROPN
cana-3686	53	19	>	>	X
cana-3686	53	20	0	0	PROPN
cana-3686	53	21	,	,	PUNCT
cana-3686	53	22	𝜆	𝜆	ADJ
cana-3686	53	23	>	>	X
cana-3686	53	24	0	0	NUM
cana-3686	53	25	,	,	PUNCT
cana-3686	53	26	𝑝	𝑝	NOUN
cana-3686	53	27	>	>	ADP
cana-3686	53	28	0,0	0,0	NUM
cana-3686	53	29	≤	≤	NUM
cana-3686	53	30	𝜃	𝜃	NUM
cana-3686	53	31	≤	≤	NUM
cana-3686	53	32	𝜋	𝜋	PRON
cana-3686	53	33	h(𝜃	h(𝜃	NOUN
cana-3686	53	34	;	;	PUNCT
cana-3686	53	35	𝛼	𝛼	X
cana-3686	53	36	,	,	PUNCT
cana-3686	53	37	𝜆	𝜆	X
cana-3686	53	38	)	)	PUNCT
cana-3686	53	39	=	=	SYM
cana-3686	53	40	1	1	NUM
cana-3686	53	41	−	−	NOUN
cana-3686	53	42	𝑒	𝑒	PROPN
cana-3686	53	43	−	−	PROPN
cana-3686	53	44	(	(	PUNCT
cana-3686	53	45	𝒍𝟐	𝒍𝟐	PROPN
cana-3686	53	46	𝟐𝝀𝒑𝟐	𝟐𝝀𝒑𝟐	INTJ
cana-3686	53	47	𝒕𝒂𝒏𝟐	𝒕𝒂𝒏𝟐	PROPN
cana-3686	53	48	(	(	PUNCT
cana-3686	53	49	𝜽	𝜽	ADP
cana-3686	53	50	𝟐	𝟐	NUM
cana-3686	53	51	)	)	PUNCT
cana-3686	53	52	)	)	PUNCT
cana-3686	54	1	𝜶	𝜶	X
cana-3686	54	2	then	then	ADV
cana-3686	54	3	the	the	DET
cana-3686	54	4	variable	variable	NOUN
cana-3686	54	5	is	be	AUX
cana-3686	54	6	said	say	VERB
cana-3686	54	7	to	to	PART
cana-3686	54	8	have	have	VERB
cana-3686	54	9	a	a	DET
cana-3686	54	10	stereographic	stereographic	ADJ
cana-3686	54	11	weibull	weibull	NOUN
cana-3686	54	12	rayleigh	rayleigh	PROPN
cana-3686	54	13	distribution	distribution	NOUN
cana-3686	54	14	with	with	ADP
cana-3686	54	15	shape	shape	NOUN
cana-3686	54	16	parameter	parameter	NOUN
cana-3686	54	17	𝛼	𝛼	PROPN
cana-3686	54	18	>	>	X
cana-3686	54	19	0	0	PUNCT
cana-3686	54	20	and	and	CCONJ
cana-3686	54	21	scale	scale	NOUN
cana-3686	54	22	parameter	parameter	NOUN
cana-3686	54	23	𝜆	𝜆	ADP
cana-3686	54	24	>	>	X
cana-3686	54	25	0	0	NUM
cana-3686	54	26	.	.	NOUN
cana-3686	55	1	3	3	NUM
cana-3686	55	2	.	.	X
cana-3686	55	3	parameter	parameter	PROPN
cana-3686	55	4	estimation	estimation	NOUN
cana-3686	55	5	of	of	ADP
cana-3686	55	6	swrd	swrd	NOUN
cana-3686	55	7	:	:	PUNCT
cana-3686	55	8	the	the	DET
cana-3686	55	9	likelihood	likelihood	NOUN
cana-3686	55	10	function	function	NOUN
cana-3686	55	11	of	of	ADP
cana-3686	55	12	swrd	swrd	NOUN
cana-3686	55	13	is	be	AUX
cana-3686	55	14	given	give	VERB
cana-3686	55	15	by	by	ADP
cana-3686	55	16	𝐿	𝐿	PROPN
cana-3686	55	17	=	=	PUNCT
cana-3686	55	18	∏ℎ(𝜃	∏ℎ(𝜃	NOUN
cana-3686	55	19	)	)	PUNCT
cana-3686	55	20	𝑛	𝑛	PRON
cana-3686	55	21	𝑖=1	𝑖=1	PUNCT
cana-3686	55	22	𝐿	𝐿	PROPN
cana-3686	55	23	=	=	SYM
cana-3686	55	24	∏	∏	PROPN
cana-3686	55	25	(	(	PUNCT
cana-3686	55	26	𝑙2𝛼	𝑙2𝛼	PROPN
cana-3686	55	27	2𝜆𝑝2	2𝜆𝑝2	NUM
cana-3686	55	28	𝑡𝑎𝑛	𝑡𝑎𝑛	NOUN
cana-3686	56	1	(	(	PUNCT
cana-3686	56	2	𝜃	𝜃	NOUN
cana-3686	56	3	2	2	X
cana-3686	56	4	)	)	PUNCT
cana-3686	56	5	𝑠𝑒𝑐2	𝑠𝑒𝑐2	NOUN
cana-3686	56	6	𝜃	𝜃	NUM
cana-3686	56	7	2	2	NUM
cana-3686	56	8	(	(	PUNCT
cana-3686	56	9	𝑙2	𝑙2	PROPN
cana-3686	56	10	2𝜆𝑝2	2𝜆𝑝2	NUM
cana-3686	56	11	𝑡𝑎𝑛2	𝑡𝑎𝑛2	NOUN
cana-3686	56	12	(	(	PUNCT
cana-3686	56	13	𝜃	𝜃	NOUN
cana-3686	56	14	2	2	NUM
cana-3686	56	15	)	)	PUNCT
cana-3686	56	16	)	)	PUNCT
cana-3686	57	1	𝛼−1	𝛼−1	PRON
cana-3686	57	2	𝑒	𝑒	ADJ
cana-3686	57	3	−	−	NOUN
cana-3686	57	4	(	(	PUNCT
cana-3686	57	5	(	(	PUNCT
cana-3686	57	6	𝑙2	𝑙2	PROPN
cana-3686	57	7	2𝜆𝑝2	2𝜆𝑝2	NUM
cana-3686	57	8	𝑡𝑎𝑛2	𝑡𝑎𝑛2	PROPN
cana-3686	57	9	(	(	PUNCT
cana-3686	57	10	𝜃	𝜃	NOUN
cana-3686	57	11	2	2	NUM
cana-3686	57	12	)	)	PUNCT
cana-3686	57	13	)	)	PUNCT
cana-3686	57	14	𝛼	𝛼	X
cana-3686	57	15	)	)	PUNCT
cana-3686	57	16	)	)	PUNCT
cana-3686	58	1	𝑛	𝑛	DET
cana-3686	58	2	𝑖=1	𝑖=1	PROPN
cana-3686	58	3	communications	communication	NOUN
cana-3686	58	4	on	on	ADP
cana-3686	58	5	applied	apply	VERB
cana-3686	58	6	nonlinear	nonlinear	ADJ
cana-3686	58	7	analysis	analysis	NOUN
cana-3686	58	8	issn	issn	NOUN
cana-3686	58	9	:	:	PUNCT
cana-3686	58	10	1074	1074	NUM
cana-3686	58	11	-	-	PUNCT
cana-3686	58	12	133x	133x	NUM
cana-3686	58	13	vol	vol	NOUN
cana-3686	58	14	32	32	NUM
cana-3686	58	15	no	no	NOUN
cana-3686	58	16	.	.	PUNCT
cana-3686	59	1	8s	8s	PROPN
cana-3686	59	2	(	(	PUNCT
cana-3686	59	3	2025	2025	NUM
cana-3686	59	4	)	)	PUNCT
cana-3686	59	5	423	423	NUM
cana-3686	60	1	https://internationalpubls.com	https://internationalpubls.com	X
cana-3686	60	2	𝑙𝑜𝑔𝐿	𝑙𝑜𝑔𝐿	ADV
cana-3686	60	3	=	=	PUNCT
cana-3686	60	4	∑	∑	PUNCT
cana-3686	60	5	𝑙𝑜𝑔	𝑙𝑜𝑔	NOUN
cana-3686	60	6	𝑙2	𝑙2	PROPN
cana-3686	60	7	2𝑝2	2𝑝2	NUM
cana-3686	60	8	𝑛	𝑛	PRON
cana-3686	60	9	𝑖=1	𝑖=1	PROPN
cana-3686	61	1	+	+	CCONJ
cana-3686	61	2	∑	∑	ADV
cana-3686	61	3	𝑙𝑜𝑔𝛼	𝑙𝑜𝑔𝛼	ADJ
cana-3686	61	4	𝑛	𝑛	PRON
cana-3686	61	5	𝑖=1	𝑖=1	PROPN
cana-3686	62	1	+	+	CCONJ
cana-3686	62	2	∑	∑	PUNCT
cana-3686	62	3	𝑙𝑜𝑔	𝑙𝑜𝑔	PROPN
cana-3686	62	4	1	1	NUM
cana-3686	62	5	𝜆	𝜆	NOUN
cana-3686	62	6	𝑛	𝑛	PRON
cana-3686	62	7	𝑖=1	𝑖=1	PROPN
cana-3686	62	8	+	+	CCONJ
cana-3686	62	9	∑	∑	ADV
cana-3686	62	10	𝑙𝑜𝑔	𝑙𝑜𝑔	X
cana-3686	62	11	(	(	PUNCT
cana-3686	62	12	𝑡𝑎𝑛	𝑡𝑎𝑛	NOUN
cana-3686	62	13	𝜃𝑖	𝜃𝑖	ADP
cana-3686	62	14	2	2	NUM
cana-3686	62	15	𝑠𝑒𝑐2	𝑠𝑒𝑐2	NOUN
cana-3686	62	16	𝜃𝑖	𝜃𝑖	ADP
cana-3686	62	17	2	2	NUM
cana-3686	62	18	)	)	PUNCT
cana-3686	62	19	𝑛	𝑛	PRON
cana-3686	62	20	𝑖=1	𝑖=1	PUNCT
cana-3686	63	1	+	+	CCONJ
cana-3686	63	2	(	(	PUNCT
cana-3686	63	3	𝛼	𝛼	X
cana-3686	63	4	−	−	PROPN
cana-3686	63	5	1	1	NUM
cana-3686	63	6	)	)	PUNCT
cana-3686	63	7	∑	∑	ADP
cana-3686	63	8	𝑙𝑜𝑔	𝑙𝑜𝑔	PROPN
cana-3686	63	9	𝑙2	𝑙2	PROPN
cana-3686	63	10	2𝜆𝑝2	2𝜆𝑝2	NUM
cana-3686	63	11	𝑛	𝑛	DET
cana-3686	63	12	𝑖=1	𝑖=1	PROPN
cana-3686	63	13	𝑡𝑎𝑛2	𝑡𝑎𝑛2	NOUN
cana-3686	63	14	𝜃𝑖	𝜃𝑖	ADP
cana-3686	63	15	2	2	NUM
cana-3686	63	16	−	−	NOUN
cana-3686	63	17	∑	∑	PROPN
cana-3686	63	18	(	(	PUNCT
cana-3686	63	19	𝑙2	𝑙2	PROPN
cana-3686	63	20	2𝜆𝑝2	2𝜆𝑝2	NUM
cana-3686	63	21	𝑡𝑎𝑛2	𝑡𝑎𝑛2	NOUN
cana-3686	63	22	𝜃𝑖	𝜃𝑖	ADP
cana-3686	63	23	2	2	NUM
cana-3686	63	24	)	)	PUNCT
cana-3686	63	25	𝛼	𝛼	PROPN
cana-3686	63	26	𝑛	𝑛	PRON
cana-3686	63	27	𝑖=1	𝑖=1	PROPN
cana-3686	63	28	(	(	PUNCT
cana-3686	63	29	3.1	3.1	NUM
cana-3686	63	30	)	)	PUNCT
cana-3686	63	31	partially	partially	ADV
cana-3686	63	32	differentiate	differentiate	VERB
cana-3686	63	33	(	(	PUNCT
cana-3686	63	34	6	6	NUM
cana-3686	63	35	)	)	PUNCT
cana-3686	63	36	with	with	ADP
cana-3686	63	37	respect	respect	NOUN
cana-3686	63	38	to	to	ADP
cana-3686	63	39	α	α	NOUN
cana-3686	63	40	and	and	CCONJ
cana-3686	63	41	equate	equate	VERB
cana-3686	63	42	this	this	DET
cana-3686	63	43	expressions	expression	NOUN
cana-3686	63	44	to	to	ADP
cana-3686	63	45	zero	zero	NUM
cana-3686	63	46	,	,	PUNCT
cana-3686	63	47	𝜕𝑙𝑜𝑔𝐿	𝜕𝑙𝑜𝑔𝐿	NOUN
cana-3686	63	48	𝜕𝛼	𝜕𝛼	NOUN
cana-3686	63	49	=	=	SYM
cana-3686	63	50	0	0	NUM
cana-3686	63	51	𝑛	𝑛	DET
cana-3686	63	52	𝛼	𝛼	NOUN
cana-3686	63	53	+	+	NOUN
cana-3686	63	54	∑	∑	PROPN
cana-3686	63	55	𝑙𝑜𝑔	𝑙𝑜𝑔	PROPN
cana-3686	63	56	(	(	PUNCT
cana-3686	63	57	𝑙2	𝑙2	PROPN
cana-3686	63	58	2𝜆𝑝2	2𝜆𝑝2	NUM
cana-3686	63	59	𝑡𝑎𝑛2	𝑡𝑎𝑛2	NOUN
cana-3686	63	60	𝜃𝑖	𝜃𝑖	ADP
cana-3686	63	61	2	2	NUM
cana-3686	63	62	)	)	PUNCT
cana-3686	63	63	−	−	NOUN
cana-3686	63	64	∑	∑	PROPN
cana-3686	63	65	(	(	PUNCT
cana-3686	63	66	𝑙2	𝑙2	PROPN
cana-3686	63	67	2𝜆𝑝2	2𝜆𝑝2	NUM
cana-3686	63	68	𝑡𝑎𝑛2	𝑡𝑎𝑛2	NOUN
cana-3686	63	69	𝜃𝑖	𝜃𝑖	ADP
cana-3686	63	70	2	2	NUM
cana-3686	63	71	)	)	PUNCT
cana-3686	63	72	𝛼	𝛼	NOUN
cana-3686	63	73	𝑙𝑜𝑔	𝑙𝑜𝑔	NOUN
cana-3686	63	74	(	(	PUNCT
cana-3686	63	75	𝑙2	𝑙2	PROPN
cana-3686	63	76	2𝜆𝑝2	2𝜆𝑝2	NUM
cana-3686	63	77	𝑡𝑎𝑛2	𝑡𝑎𝑛2	NOUN
cana-3686	63	78	𝜃𝑖	𝜃𝑖	ADP
cana-3686	63	79	2	2	NUM
cana-3686	63	80	)	)	PUNCT
cana-3686	63	81	=	=	SYM
cana-3686	64	1	0	0	PUNCT
cana-3686	64	2	𝑛	𝑛	PRON
cana-3686	64	3	𝑖=1	𝑖=1	PUNCT
cana-3686	65	1	𝑛	𝑛	PRON
cana-3686	65	2	𝑖=1	𝑖=1	PROPN
cana-3686	65	3	let	let	VERB
cana-3686	65	4	𝑙2	𝑙2	PROPN
cana-3686	65	5	2𝜆𝑝2	2𝜆𝑝2	NUM
cana-3686	65	6	𝑡𝑎𝑛2	𝑡𝑎𝑛2	NOUN
cana-3686	65	7	𝜃𝑖	𝜃𝑖	ADP
cana-3686	65	8	2	2	NUM
cana-3686	65	9	=	=	SYM
cana-3686	65	10	𝐴	𝐴	PROPN
cana-3686	65	11	𝑛	𝑛	NOUN
cana-3686	65	12	𝛼	𝛼	NOUN
cana-3686	65	13	+	+	NOUN
cana-3686	65	14	∑	∑	PROPN
cana-3686	65	15	𝑙𝑜𝑔𝐴	𝑙𝑜𝑔𝐴	ADJ
cana-3686	65	16	−	−	PROPN
cana-3686	65	17	∑	∑	PUNCT
cana-3686	65	18	𝐴𝛼	𝐴𝛼	PROPN
cana-3686	65	19	𝑙𝑜𝑔𝐴	𝑙𝑜𝑔𝐴	ADJ
cana-3686	65	20	=	=	PUNCT
cana-3686	65	21	0𝑛	0𝑛	NOUN
cana-3686	65	22	𝑖=1	𝑖=1	PUNCT
cana-3686	65	23	𝑛	𝑛	PRON
cana-3686	65	24	𝑖=1	𝑖=1	PROPN
cana-3686	65	25	(	(	PUNCT
cana-3686	65	26	3.2	3.2	NUM
cana-3686	65	27	)	)	PUNCT
cana-3686	65	28	partially	partially	ADV
cana-3686	65	29	differentiate	differentiate	VERB
cana-3686	65	30	(	(	PUNCT
cana-3686	65	31	6	6	NUM
cana-3686	65	32	)	)	PUNCT
cana-3686	65	33	with	with	ADP
cana-3686	65	34	respect	respect	NOUN
cana-3686	65	35	to	to	ADP
cana-3686	65	36	λ	λ	PROPN
cana-3686	65	37	and	and	CCONJ
cana-3686	65	38	equate	equate	VERB
cana-3686	65	39	this	this	DET
cana-3686	65	40	expressions	expression	NOUN
cana-3686	65	41	to	to	ADP
cana-3686	65	42	zero	zero	NUM
cana-3686	65	43	,	,	PUNCT
cana-3686	65	44	𝜕𝑙𝑜𝑔𝐿	𝜕𝑙𝑜𝑔𝐿	VERB
cana-3686	65	45	𝜕𝜆	𝜕𝜆	NOUN
cana-3686	65	46	=	=	NOUN
cana-3686	65	47	0	0	NUM
cana-3686	65	48	𝑛𝛼	𝑛𝛼	PROPN
cana-3686	65	49	𝜆	𝜆	PRON
cana-3686	65	50	−	−	PROPN
cana-3686	65	51	∑	∑	PROPN
cana-3686	65	52	𝛼𝐴𝛼−1	𝛼𝐴𝛼−1	PROPN
cana-3686	65	53	(	(	PUNCT
cana-3686	65	54	𝑙2	𝑙2	PROPN
cana-3686	65	55	2𝑝2	2𝑝2	NUM
cana-3686	65	56	𝑡𝑎𝑛2	𝑡𝑎𝑛2	NOUN
cana-3686	65	57	𝜃𝑖	𝜃𝑖	ADP
cana-3686	65	58	2	2	NUM
cana-3686	65	59	)	)	PUNCT
cana-3686	65	60	=	=	VERB
cana-3686	65	61	0𝑛	0𝑛	NOUN
cana-3686	65	62	𝑖=1	𝑖=1	PUNCT
cana-3686	65	63	(	(	PUNCT
cana-3686	65	64	3.3	3.3	NUM
cana-3686	65	65	)	)	PUNCT
cana-3686	65	66	the	the	DET
cana-3686	65	67	maximum	maximum	ADJ
cana-3686	65	68	likelihood	likelihood	NOUN
cana-3686	65	69	estimators	estimator	NOUN
cana-3686	65	70	(	(	PUNCT
cana-3686	65	71	mles	mle	NOUN
cana-3686	65	72	)	)	PUNCT
cana-3686	65	73	of	of	ADP
cana-3686	65	74	the	the	DET
cana-3686	65	75	unknown	unknown	ADJ
cana-3686	65	76	parameters	parameter	NOUN
cana-3686	65	77	can	can	AUX
cana-3686	65	78	be	be	AUX
cana-3686	65	79	obtained	obtain	VERB
cana-3686	65	80	by	by	ADP
cana-3686	65	81	solving	solve	VERB
cana-3686	65	82	equations	equation	NOUN
cana-3686	65	83	(	(	PUNCT
cana-3686	65	84	7	7	NUM
cana-3686	65	85	)	)	PUNCT
cana-3686	65	86	and	and	CCONJ
cana-3686	65	87	(	(	PUNCT
cana-3686	65	88	8)	8)	NUM
cana-3686	65	89	concurrently	concurrently	ADV
cana-3686	65	90	,	,	PUNCT
cana-3686	65	91	although	although	SCONJ
cana-3686	65	92	these	these	DET
cana-3686	65	93	problems	problem	NOUN
cana-3686	65	94	are	be	AUX
cana-3686	65	95	not	not	PART
cana-3686	65	96	analytically	analytically	ADV
cana-3686	65	97	solvable	solvable	ADJ
cana-3686	65	98	.	.	PUNCT
cana-3686	66	1	fitdistrplus	fitdistrplus	ADJ
cana-3686	66	2	,	,	PUNCT
cana-3686	66	3	adequacymodel	adequacymodel	NOUN
cana-3686	66	4	and	and	CCONJ
cana-3686	66	5	pracma	pracma	NOUN
cana-3686	66	6	packages	package	NOUN
cana-3686	66	7	in	in	ADP
cana-3686	66	8	r	r	NOUN
cana-3686	66	9	are	be	AUX
cana-3686	66	10	used	use	VERB
cana-3686	66	11	to	to	PART
cana-3686	66	12	analyze	analyze	VERB
cana-3686	66	13	this	this	DET
cana-3686	66	14	model	model	NOUN
cana-3686	66	15	at	at	ADP
cana-3686	66	16	mle	mle	PROPN
cana-3686	66	17	.	.	PROPN
cana-3686	66	18	4	4	X
cana-3686	66	19	.	.	X
cana-3686	66	20	comparative	comparative	ADJ
cana-3686	66	21	study	study	NOUN
cana-3686	66	22	using	use	VERB
cana-3686	66	23	the	the	DET
cana-3686	66	24	above	above	NOUN
cana-3686	66	25	mentioned	mention	VERB
cana-3686	66	26	r	r	NOUN
cana-3686	66	27	packages	package	NOUN
cana-3686	66	28	the	the	DET
cana-3686	66	29	aic	aic	PROPN
cana-3686	66	30	,	,	PUNCT
cana-3686	66	31	bic	bic	PROPN
cana-3686	66	32	and	and	CCONJ
cana-3686	66	33	parameter	parameter	NOUN
cana-3686	66	34	values	value	NOUN
cana-3686	66	35	are	be	AUX
cana-3686	66	36	estimated	estimate	VERB
cana-3686	66	37	for	for	ADP
cana-3686	66	38	hc	hc	NOUN
cana-3686	66	39	-	-	PUNCT
cana-3686	66	40	mbiii	mbiii	NOUN
cana-3686	66	41	,	,	PUNCT
cana-3686	66	42	hc	hc	NOUN
cana-3686	66	43	-	-	PUNCT
cana-3686	66	44	log	log	NOUN
cana-3686	66	45	logistic	logistic	NOUN
cana-3686	66	46	,	,	PUNCT
cana-3686	66	47	hc	hc	PROPN
cana-3686	66	48	-	-	PUNCT
cana-3686	66	49	burr	burr	NOUN
cana-3686	66	50	iii	iii	NOUN
cana-3686	66	51	,	,	PUNCT
cana-3686	66	52	,	,	PUNCT
cana-3686	66	53	hc	hc	PROPN
cana-3686	66	54	-	-	PUNCT
cana-3686	66	55	gamma	gamma	NOUN
cana-3686	66	56	,	,	PUNCT
cana-3686	66	57	hc	hc	PROPN
cana-3686	66	58	-	-	PUNCT
cana-3686	66	59	giw	giw	PROPN
cana-3686	66	60	and	and	CCONJ
cana-3686	66	61	hc	hc	PROPN
cana-3686	66	62	-	-	PUNCT
cana-3686	66	63	burr	burr	NOUN
cana-3686	66	64	-	-	PUNCT
cana-3686	66	65	xii	xii	NOUN
cana-3686	66	66	distribution(iftikar	distribution(iftikar	PROPN
cana-3686	66	67	ayesha	ayesha	PROPN
cana-3686	66	68	et	et	PROPN
cana-3686	66	69	al	al	PROPN
cana-3686	66	70	.	.	PROPN
cana-3686	66	71	,[15	,[15	PROPN
cana-3686	66	72	]	]	PUNCT
cana-3686	66	73	)	)	PUNCT
cana-3686	66	74	and	and	CCONJ
cana-3686	66	75	the	the	DET
cana-3686	66	76	results	result	NOUN
cana-3686	66	77	are	be	AUX
cana-3686	66	78	tabulated	tabulate	VERB
cana-3686	66	79	below	below	ADV
cana-3686	66	80	.	.	PUNCT
cana-3686	67	1	table	table	NOUN
cana-3686	67	2	1	1	NUM
cana-3686	67	3	:	:	PUNCT
cana-3686	67	4	comparative	comparative	ADJ
cana-3686	67	5	study	study	NOUN
cana-3686	67	6	distribution	distribution	NOUN
cana-3686	67	7	aic	aic	PROPN
cana-3686	67	8	caic	caic	PROPN
cana-3686	67	9	bic	bic	PROPN
cana-3686	67	10	a	a	DET
cana-3686	67	11	w	w	PROPN
cana-3686	67	12	k	k	PROPN
cana-3686	67	13	-	-	PUNCT
cana-3686	67	14	s	s	X
cana-3686	67	15	(	(	PUNCT
cana-3686	67	16	p	p	NOUN
cana-3686	67	17	-	-	PUNCT
cana-3686	67	18	value	value	NOUN
cana-3686	67	19	)	)	PUNCT
cana-3686	67	20	swrd	swrd	NOUN
cana-3686	67	21	13.3696	13.3696	NUM
cana-3686	67	22	14.03627	14.03627	NUM
cana-3686	67	23	15.45864	15.45864	NUM
cana-3686	67	24	0.9184	0.9184	NUM
cana-3686	67	25	0.15577	0.15577	NUM
cana-3686	67	26	0.16388(0.6255	0.16388(0.6255	NOUN
cana-3686	67	27	)	)	PUNCT
cana-3686	67	28	hc	hc	NOUN
cana-3686	67	29	-	-	PUNCT
cana-3686	67	30	mbiii	mbiii	NOUN
cana-3686	67	31	25.23826	25.23826	NUM
cana-3686	67	32	26.50142	26.50142	NUM
cana-3686	67	33	28.64474	28.64474	NUM
cana-3686	67	34	0.44517	0.44517	NUM
cana-3686	67	35	0.06778	0.06778	NUM
cana-3686	67	36	0.127358	0.127358	NUM
cana-3686	67	37	(	(	PUNCT
cana-3686	67	38	0.84968	0.84968	NUM
cana-3686	67	39	)	)	PUNCT
cana-3686	67	40	hc	hc	PROPN
cana-3686	67	41	-	-	PUNCT
cana-3686	67	42	burr	burr	NOUN
cana-3686	67	43	iii	iii	PROPN
cana-3686	67	44	26.74478	26.74478	NUM
cana-3686	67	45	7.34478	7.34478	NUM
cana-3686	67	46	29.01577	29.01577	NUM
cana-3686	67	47	0.815283	0.815283	NUM
cana-3686	67	48	0.11913	0.11913	NUM
cana-3686	67	49	0.183918(0.41799	0.183918(0.41799	NUM
cana-3686	67	50	)	)	PUNCT
cana-3686	67	51	hc	hc	PROPN
cana-3686	67	52	-	-	PUNCT
cana-3686	67	53	giw	giw	NOUN
cana-3686	67	54	43.54607	43.54607	NUM
cana-3686	67	55	44.80923	44.80923	NUM
cana-3686	67	56	6.95255	6.95255	NUM
cana-3686	67	57	2.4295	2.4295	NUM
cana-3686	67	58	0.41253	0.41253	NUM
cana-3686	67	59	0.27321(0.06453	0.27321(0.06453	NUM
cana-3686	67	60	)	)	PUNCT
cana-3686	67	61	hc	hc	PROPN
cana-3686	67	62	-	-	PUNCT
cana-3686	67	63	log	log	NOUN
cana-3686	67	64	logistic	logistic	ADJ
cana-3686	67	65	26.14425	26.14425	NUM
cana-3686	67	66	26.74425	26.74425	NUM
cana-3686	67	67	28.41524	28.41524	NUM
cana-3686	67	68	0.74076	0.74076	NUM
cana-3686	67	69	0.10753	0.10753	NUM
cana-3686	67	70	0.116541(0.913587	0.116541(0.913587	NUM
cana-3686	67	71	)	)	PUNCT
cana-3686	67	72	hc	hc	PROPN
cana-3686	67	73	-	-	PUNCT
cana-3686	67	74	gamma	gamma	NOUN
cana-3686	67	75	26.17461	26.17461	NUM
cana-3686	67	76	26.77461	26.77461	NUM
cana-3686	67	77	28.4456	28.4456	NUM
cana-3686	67	78	0.8166877	0.8166877	NUM
cana-3686	67	79	0.127228	0.127228	NUM
cana-3686	67	80	0.16989(0.520301	0.16989(0.520301	NUM
cana-3686	67	81	)	)	PUNCT
cana-3686	67	82	hc	hc	PROPN
cana-3686	67	83	-	-	PUNCT
cana-3686	67	84	burr	burr	NOUN
cana-3686	67	85	-	-	PUNCT
cana-3686	67	86	xii	xii	PROPN
cana-3686	67	87	26.69013	26.69013	NUM
cana-3686	67	88	27.29013	27.29013	NUM
cana-3686	67	89	28.96112	28.96112	NUM
cana-3686	67	90	0.818624	0.818624	NUM
cana-3686	67	91	0.119508	0.119508	NUM
cana-3686	67	92	0.16551(0.55440	0.16551(0.55440	NOUN
cana-3686	67	93	)	)	PUNCT
cana-3686	67	94	communications	communication	NOUN
cana-3686	67	95	on	on	ADP
cana-3686	67	96	applied	apply	VERB
cana-3686	67	97	nonlinear	nonlinear	ADJ
cana-3686	67	98	analysis	analysis	NOUN
cana-3686	67	99	issn	issn	NOUN
cana-3686	67	100	:	:	PUNCT
cana-3686	67	101	1074	1074	NUM
cana-3686	67	102	-	-	PUNCT
cana-3686	67	103	133x	133x	NUM
cana-3686	67	104	vol	vol	NOUN
cana-3686	67	105	32	32	NUM
cana-3686	67	106	no	no	NOUN
cana-3686	67	107	.	.	PUNCT
cana-3686	68	1	8s	8s	PROPN
cana-3686	68	2	(	(	PUNCT
cana-3686	68	3	2025	2025	NUM
cana-3686	68	4	)	)	PUNCT
cana-3686	68	5	424	424	NUM
cana-3686	68	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-3686	68	7	the	the	DET
cana-3686	68	8	proposed	propose	VERB
cana-3686	68	9	stereographic	stereographic	ADJ
cana-3686	68	10	circular	circular	ADJ
cana-3686	68	11	distribution	distribution	NOUN
cana-3686	68	12	,	,	PUNCT
cana-3686	68	13	swrd	swrd	NOUN
cana-3686	68	14	fits	fit	VERB
cana-3686	68	15	the	the	DET
cana-3686	68	16	eye	eye	NOUN
cana-3686	68	17	data	datum	NOUN
cana-3686	68	18	better	well	ADV
cana-3686	68	19	than	than	ADP
cana-3686	68	20	the	the	DET
cana-3686	68	21	models	model	NOUN
cana-3686	68	22	previously	previously	ADV
cana-3686	68	23	mentioned	mention	VERB
cana-3686	68	24	since	since	SCONJ
cana-3686	68	25	smaller	small	ADJ
cana-3686	68	26	aic	aic	PROPN
cana-3686	68	27	values	value	NOUN
cana-3686	68	28	signify	signify	VERB
cana-3686	68	29	a	a	DET
cana-3686	68	30	better	well	ADJ
cana-3686	68	31	fit	fit	NOUN
cana-3686	68	32	which	which	PRON
cana-3686	68	33	are	be	AUX
cana-3686	68	34	graphically	graphically	ADV
cana-3686	68	35	depicted	depict	VERB
cana-3686	68	36	as	as	ADP
cana-3686	68	37	follows.(in	follows.(in	NOUN
cana-3686	68	38	graph	graph	NOUN
cana-3686	68	39	sscwr	sscwr	NOUN
cana-3686	68	40	shows	show	VERB
cana-3686	68	41	the	the	DET
cana-3686	68	42	curve	curve	NOUN
cana-3686	68	43	of	of	ADP
cana-3686	68	44	swrd	swrd	NOUN
cana-3686	68	45	)	)	PUNCT
cana-3686	68	46	5	5	NUM
cana-3686	68	47	.	.	PUNCT
cana-3686	68	48	conclusion	conclusion	NOUN
cana-3686	68	49	in	in	ADP
cana-3686	68	50	this	this	DET
cana-3686	68	51	research	research	NOUN
cana-3686	68	52	work	work	NOUN
cana-3686	68	53	,	,	PUNCT
cana-3686	68	54	we	we	PRON
cana-3686	68	55	estimated	estimate	VERB
cana-3686	68	56	the	the	DET
cana-3686	68	57	parameters	parameter	NOUN
cana-3686	68	58	of	of	ADP
cana-3686	68	59	the	the	DET
cana-3686	68	60	mixed	mixed	ADJ
cana-3686	68	61	circular	circular	ADJ
cana-3686	68	62	probability	probability	NOUN
cana-3686	68	63	model	model	NOUN
cana-3686	68	64	‘	'	PUNCT
cana-3686	68	65	swrd	swrd	NOUN
cana-3686	68	66	’	'	PUNCT
cana-3686	68	67	using	use	VERB
cana-3686	68	68	maximum	maximum	ADJ
cana-3686	68	69	likelihood	likelihood	NOUN
cana-3686	68	70	estimation	estimation	NOUN
cana-3686	68	71	technique	technique	NOUN
cana-3686	68	72	.	.	PUNCT
cana-3686	69	1	also	also	ADV
cana-3686	69	2	aic	aic	PROPN
cana-3686	69	3	,	,	PUNCT
cana-3686	69	4	bic	bic	PROPN
cana-3686	69	5	values	value	NOUN
cana-3686	69	6	for	for	ADP
cana-3686	69	7	this	this	DET
cana-3686	69	8	model	model	NOUN
cana-3686	69	9	are	be	AUX
cana-3686	69	10	evaluated	evaluate	VERB
cana-3686	69	11	and	and	CCONJ
cana-3686	69	12	compared	compare	VERB
cana-3686	69	13	these	these	DET
cana-3686	69	14	results	result	NOUN
cana-3686	69	15	with	with	ADP
cana-3686	69	16	the	the	DET
cana-3686	69	17	existing	exist	VERB
cana-3686	69	18	circular	circular	ADJ
cana-3686	69	19	models	model	NOUN
cana-3686	69	20	like	like	ADP
cana-3686	69	21	hc	hc	NOUN
cana-3686	69	22	-	-	PUNCT
cana-3686	69	23	mbiii	mbiii	NOUN
cana-3686	69	24	,	,	PUNCT
cana-3686	69	25	hc	hc	NOUN
cana-3686	69	26	-	-	PUNCT
cana-3686	69	27	log	log	NOUN
cana-3686	69	28	logistic	logistic	NOUN
cana-3686	69	29	,	,	PUNCT
cana-3686	69	30	hc	hc	PROPN
cana-3686	69	31	-	-	PUNCT
cana-3686	69	32	burr	burr	NOUN
cana-3686	69	33	iii	iii	PROPN
cana-3686	69	34	,	,	PUNCT
cana-3686	69	35	hc	hc	PROPN
cana-3686	69	36	-	-	PUNCT
cana-3686	69	37	gamma	gamma	NOUN
cana-3686	69	38	,	,	PUNCT
cana-3686	69	39	hc	hc	PROPN
cana-3686	69	40	-	-	PUNCT
cana-3686	69	41	giw	giw	PROPN
cana-3686	69	42	and	and	CCONJ
cana-3686	69	43	hc	hc	PROPN
cana-3686	69	44	-	-	PUNCT
cana-3686	69	45	burr	burr	NOUN
cana-3686	69	46	-	-	PUNCT
cana-3686	69	47	xii	xii	PROPN
cana-3686	69	48	.	.	PUNCT
cana-3686	70	1	in	in	ADP
cana-3686	70	2	comparison	comparison	NOUN
cana-3686	70	3	to	to	ADP
cana-3686	70	4	these	these	DET
cana-3686	70	5	models	model	NOUN
cana-3686	70	6	,	,	PUNCT
cana-3686	70	7	the	the	DET
cana-3686	70	8	proposed	propose	VERB
cana-3686	70	9	model	model	NOUN
cana-3686	70	10	is	be	AUX
cana-3686	70	11	best	well	ADV
cana-3686	70	12	fit	fit	ADJ
cana-3686	70	13	to	to	ADP
cana-3686	70	14	the	the	DET
cana-3686	70	15	data	datum	NOUN
cana-3686	70	16	representing	represent	VERB
cana-3686	70	17	the	the	DET
cana-3686	70	18	posterior	posterior	ADJ
cana-3686	70	19	corneal	corneal	ADJ
cana-3686	70	20	curvature	curvature	NOUN
cana-3686	70	21	of	of	ADP
cana-3686	70	22	23	23	NUM
cana-3686	70	23	eye	eye	NOUN
cana-3686	70	24	patients	patient	NOUN
cana-3686	70	25	.	.	PUNCT
cana-3686	71	1	thus	thus	ADV
cana-3686	71	2	researches	research	VERB
cana-3686	71	3	and	and	CCONJ
cana-3686	71	4	those	those	PRON
cana-3686	71	5	who	who	PRON
cana-3686	71	6	work	work	VERB
cana-3686	71	7	with	with	ADP
cana-3686	71	8	angular	angular	ADJ
cana-3686	71	9	data	datum	NOUN
cana-3686	71	10	can	can	AUX
cana-3686	71	11	considerably	considerably	ADV
cana-3686	71	12	benefit	benefit	VERB
cana-3686	71	13	from	from	ADP
cana-3686	71	14	include	include	VERB
cana-3686	71	15	this	this	DET
cana-3686	71	16	distribution	distribution	NOUN
cana-3686	71	17	in	in	ADP
cana-3686	71	18	the	the	DET
cana-3686	71	19	theoretical	theoretical	ADJ
cana-3686	71	20	framework	framework	NOUN
cana-3686	71	21	.	.	PUNCT
cana-3686	72	1	acknowledgement	acknowledgement	NOUN
cana-3686	72	2	:	:	PUNCT
cana-3686	72	3	the	the	DET
cana-3686	72	4	authors	author	NOUN
cana-3686	72	5	thank	thank	VERB
cana-3686	72	6	their	their	PRON
cana-3686	72	7	respective	respective	ADJ
cana-3686	72	8	college	college	NOUN
cana-3686	72	9	managements	management	NOUN
cana-3686	72	10	for	for	ADP
cana-3686	72	11	their	their	PRON
cana-3686	72	12	continuous	continuous	ADJ
cana-3686	72	13	support	support	NOUN
cana-3686	72	14	and	and	CCONJ
cana-3686	72	15	constant	constant	ADJ
cana-3686	72	16	encouragement	encouragement	NOUN
cana-3686	72	17	.	.	PUNCT
cana-3686	73	1	we	we	PRON
cana-3686	73	2	are	be	AUX
cana-3686	73	3	also	also	ADV
cana-3686	73	4	thankful	thankful	ADJ
cana-3686	73	5	to	to	ADP
cana-3686	73	6	all	all	DET
cana-3686	73	7	the	the	DET
cana-3686	73	8	reviewers	reviewer	NOUN
cana-3686	73	9	and	and	CCONJ
cana-3686	73	10	editor	editor	NOUN
cana-3686	73	11	for	for	ADP
cana-3686	73	12	their	their	PRON
cana-3686	73	13	valuable	valuable	ADJ
cana-3686	73	14	suggestions	suggestion	NOUN
cana-3686	73	15	to	to	PART
cana-3686	73	16	improve	improve	VERB
cana-3686	73	17	the	the	DET
cana-3686	73	18	quality	quality	NOUN
cana-3686	73	19	of	of	ADP
cana-3686	73	20	the	the	DET
cana-3686	73	21	research	research	NOUN
cana-3686	73	22	paper	paper	NOUN
cana-3686	73	23	.	.	PUNCT
cana-3686	74	1	references	reference	NOUN
cana-3686	74	2	:	:	PUNCT
cana-3686	75	1	[	[	X
cana-3686	75	2	1	1	NUM
cana-3686	75	3	]	]	X
cana-3686	75	4	abuzaid	abuzaid	ADJ
cana-3686	75	5	,	,	PUNCT
cana-3686	75	6	ali	ali	PROPN
cana-3686	75	7	h.	h.	PROPN
cana-3686	75	8	"	"	PUNCT
cana-3686	75	9	a	a	DET
cana-3686	75	10	half	half	ADJ
cana-3686	75	11	circular	circular	ADJ
cana-3686	75	12	distribution	distribution	NOUN
cana-3686	75	13	for	for	ADP
cana-3686	75	14	modeling	model	VERB
cana-3686	75	15	the	the	DET
cana-3686	75	16	posterior	posterior	ADJ
cana-3686	75	17	corneal	corneal	ADJ
cana-3686	75	18	curvature	curvature	NOUN
cana-3686	75	19	.	.	PUNCT
cana-3686	75	20	"	"	PUNCT
cana-3686	76	1	communications	communication	NOUN
cana-3686	76	2	in	in	ADP
cana-3686	76	3	statistics	statistic	NOUN
cana-3686	76	4	-	-	PUNCT
cana-3686	76	5	theory	theory	NOUN
cana-3686	76	6	and	and	CCONJ
cana-3686	76	7	methods	method	NOUN
cana-3686	76	8	47.13	47.13	NUM
cana-3686	76	9	(	(	PUNCT
cana-3686	76	10	2018	2018	NUM
cana-3686	76	11	):	):	PUNCT
cana-3686	76	12	3118	3118	NUM
cana-3686	76	13	-	-	SYM
cana-3686	76	14	3124	3124	NUM
cana-3686	76	15	.	.	PUNCT
cana-3686	77	1	[	[	X
cana-3686	77	2	2	2	NUM
cana-3686	77	3	]	]	PUNCT
cana-3686	77	4	alzaatreh	alzaatreh	NOUN
cana-3686	77	5	,	,	PUNCT
cana-3686	77	6	ayman	ayman	PROPN
cana-3686	77	7	,	,	PUNCT
cana-3686	77	8	carl	carl	PROPN
cana-3686	77	9	lee	lee	PROPN
cana-3686	77	10	,	,	PUNCT
cana-3686	77	11	and	and	CCONJ
cana-3686	77	12	felix	felix	PROPN
cana-3686	77	13	famoye	famoye	PROPN
cana-3686	77	14	.	.	PUNCT
cana-3686	78	1	"	"	PUNCT
cana-3686	78	2	a	a	DET
cana-3686	78	3	new	new	ADJ
cana-3686	78	4	method	method	NOUN
cana-3686	78	5	for	for	ADP
cana-3686	78	6	generating	generate	VERB
cana-3686	78	7	families	family	NOUN
cana-3686	78	8	of	of	ADP
cana-3686	78	9	continuous	continuous	ADJ
cana-3686	78	10	distributions	distribution	NOUN
cana-3686	78	11	.	.	PUNCT
cana-3686	78	12	"	"	PUNCT
cana-3686	79	1	metron	metron	PROPN
cana-3686	79	2	71.1	71.1	NUM
cana-3686	79	3	(	(	PUNCT
cana-3686	79	4	2013	2013	NUM
cana-3686	79	5	):	):	PUNCT
cana-3686	79	6	63	63	NUM
cana-3686	79	7	-	-	SYM
cana-3686	79	8	79	79	NUM
cana-3686	79	9	.	.	PUNCT
cana-3686	80	1	[	[	X
cana-3686	80	2	3	3	X
cana-3686	80	3	]	]	X
cana-3686	80	4	dattatreya	dattatreya	PROPN
cana-3686	80	5	rao	rao	PROPN
cana-3686	80	6	,	,	PUNCT
cana-3686	80	7	a.	a.	PROPN
cana-3686	80	8	v.	v.	PROPN
cana-3686	80	9	,	,	PUNCT
cana-3686	80	10	s.	s.	PROPN
cana-3686	80	11	v.	v.	PROPN
cana-3686	80	12	s.	s.	PROPN
cana-3686	80	13	girija	girija	PROPN
cana-3686	80	14	,	,	PUNCT
cana-3686	80	15	and	and	CCONJ
cana-3686	80	16	y.	y.	PROPN
cana-3686	80	17	phani	phani	PROPN
cana-3686	80	18	.	.	PUNCT
cana-3686	81	1	"	"	PUNCT
cana-3686	81	2	stereographic	stereographic	ADJ
cana-3686	81	3	logistic	logistic	ADJ
cana-3686	81	4	model	model	NOUN
cana-3686	81	5	-	-	PUNCT
cana-3686	81	6	application	application	NOUN
cana-3686	81	7	to	to	ADP
cana-3686	81	8	noisy	noisy	ADJ
cana-3686	81	9	scrub	scrub	NOUN
cana-3686	81	10	birds	bird	NOUN
cana-3686	81	11	data	datum	NOUN
cana-3686	81	12	.	.	PUNCT
cana-3686	81	13	"	"	PUNCT
cana-3686	82	1	chilean	chilean	ADJ
cana-3686	82	2	journal	journal	NOUN
cana-3686	82	3	of	of	ADP
cana-3686	82	4	statistics	statistic	NOUN
cana-3686	82	5	7.2	7.2	NUM
cana-3686	82	6	(	(	PUNCT
cana-3686	82	7	2016	2016	NUM
cana-3686	82	8	):	):	PUNCT
cana-3686	82	9	69	69	NUM
cana-3686	82	10	-	-	SYM
cana-3686	82	11	79	79	NUM
cana-3686	82	12	.	.	PUNCT
cana-3686	83	1	[	[	X
cana-3686	83	2	4	4	X
cana-3686	83	3	]	]	X
cana-3686	83	4	iftikhar	iftikhar	PROPN
cana-3686	83	5	ayesha	ayesha	PROPN
cana-3686	83	6	,	,	PUNCT
cana-3686	83	7	azeem	azeem	PROPN
cana-3686	83	8	ali	ali	PROPN
cana-3686	83	9	,	,	PUNCT
cana-3686	83	10	and	and	CCONJ
cana-3686	83	11	muhammad	muhammad	PROPN
cana-3686	83	12	hanif	hanif	PROPN
cana-3686	83	13	.	.	PUNCT
cana-3686	84	1	"	"	PUNCT
cana-3686	84	2	half	half	ADV
cana-3686	84	3	circular	circular	ADJ
cana-3686	84	4	modified	modify	VERB
cana-3686	84	5	burr−	burr−	NOUN
cana-3686	84	6	iii	iii	NUM
cana-3686	84	7	distribution	distribution	NOUN
cana-3686	84	8	,	,	PUNCT
cana-3686	84	9	application	application	NOUN
cana-3686	84	10	with	with	ADP
cana-3686	84	11	different	different	ADJ
cana-3686	84	12	estimation	estimation	NOUN
cana-3686	84	13	methods	method	NOUN
cana-3686	84	14	.	.	PUNCT
cana-3686	84	15	"	"	PUNCT
cana-3686	85	1	plos	plo	VERB
cana-3686	85	2	one	one	NUM
cana-3686	85	3	17.5	17.5	NUM
cana-3686	85	4	(	(	PUNCT
cana-3686	85	5	2022	2022	NUM
cana-3686	85	6	):	):	PUNCT
cana-3686	85	7	e0261901	e0261901	NOUN
cana-3686	85	8	.	.	PUNCT
cana-3686	86	1	[	[	X
cana-3686	86	2	5	5	X
cana-3686	86	3	]	]	PUNCT
cana-3686	86	4	jammalamadaka	jammalamadaka	PROPN
cana-3686	86	5	s.	s.	PROPN
cana-3686	86	6	rao	rao	PROPN
cana-3686	86	7	and	and	CCONJ
cana-3686	86	8	sen	sen	PROPN
cana-3686	86	9	gupta	gupta	PROPN
cana-3686	86	10	a.	a.	NOUN
cana-3686	86	11	topics	topic	NOUN
cana-3686	86	12	in	in	ADP
cana-3686	86	13	circular	circular	ADJ
cana-3686	86	14	statistics	statistic	NOUN
cana-3686	86	15	,	,	PUNCT
cana-3686	86	16	world	world	NOUN
cana-3686	86	17	scientific	scientific	ADJ
cana-3686	86	18	press	press	NOUN
cana-3686	86	19	,	,	PUNCT
cana-3686	86	20	singapore	singapore	PROPN
cana-3686	86	21	,	,	PUNCT
cana-3686	86	22	2001	2001	NUM
cana-3686	86	23	.	.	PUNCT
cana-3686	87	1	[	[	X
cana-3686	87	2	6	6	NUM
cana-3686	87	3	]	]	X
cana-3686	87	4	korkmaz	korkmaz	NOUN
cana-3686	87	5	,	,	PUNCT
cana-3686	87	6	mustafa	mustafa	PROPN
cana-3686	87	7	ç	ç	PROPN
cana-3686	87	8	.	.	PROPN
cana-3686	87	9	,	,	PUNCT
cana-3686	87	10	et	et	PROPN
cana-3686	87	11	al	al	PROPN
cana-3686	87	12	.	.	PUNCT
cana-3686	88	1	"	"	PUNCT
cana-3686	88	2	the	the	DET
cana-3686	88	3	burr	burr	NOUN
cana-3686	88	4	x	x	X
cana-3686	88	5	pareto	pareto	ADJ
cana-3686	88	6	distribution	distribution	NOUN
cana-3686	88	7	:	:	PUNCT
cana-3686	88	8	properties	property	NOUN
cana-3686	88	9	,	,	PUNCT
cana-3686	88	10	applications	application	NOUN
cana-3686	88	11	and	and	CCONJ
cana-3686	88	12	var	var	PROPN
cana-3686	88	13	estimation	estimation	NOUN
cana-3686	88	14	.	.	PUNCT
cana-3686	88	15	"	"	PUNCT
cana-3686	89	1	journal	journal	NOUN
cana-3686	89	2	of	of	ADP
cana-3686	89	3	risk	risk	NOUN
cana-3686	89	4	and	and	CCONJ
cana-3686	89	5	financial	financial	ADJ
cana-3686	89	6	management	management	NOUN
cana-3686	89	7	11.1	11.1	NUM
cana-3686	89	8	(	(	PUNCT
cana-3686	89	9	2017	2017	NUM
cana-3686	89	10	):	):	PUNCT
cana-3686	89	11	1	1	NUM
cana-3686	89	12	.	.	PUNCT
cana-3686	90	1	[	[	X
cana-3686	90	2	7	7	NUM
cana-3686	90	3	]	]	X
cana-3686	90	4	mardia	mardia	PROPN
cana-3686	90	5	k.v	k.v	PROPN
cana-3686	90	6	.	.	PROPN
cana-3686	90	7	and	and	CCONJ
cana-3686	90	8	jupp	jupp	PROPN
cana-3686	90	9	p.e	p.e	PROPN
cana-3686	90	10	.	.	PROPN
cana-3686	90	11	directional	directional	PROPN
cana-3686	90	12	statistics	statistic	NOUN
cana-3686	90	13	,	,	PUNCT
cana-3686	90	14	john	john	PROPN
cana-3686	90	15	wiley	wiley	PROPN
cana-3686	90	16	,	,	PUNCT
cana-3686	90	17	chichester	chichester	PROPN
cana-3686	90	18	,	,	PUNCT
cana-3686	90	19	2000	2000	NUM
cana-3686	90	20	.	.	PUNCT
cana-3686	91	1	[	[	X
cana-3686	91	2	8	8	NUM
cana-3686	91	3	]	]	X
cana-3686	91	4	minh	minh	NOUN
cana-3686	91	5	do	do	X
cana-3686	91	6	le	le	X
cana-3686	91	7	,	,	PUNCT
cana-3686	91	8	farnum	farnum	PROPN
cana-3686	91	9	nicholas	nicholas	PROPN
cana-3686	91	10	r.	r.	PROPN
cana-3686	91	11	“	"	PUNCT
cana-3686	91	12	using	use	VERB
cana-3686	91	13	bilinear	bilinear	NOUN
cana-3686	91	14	transformations	transformation	NOUN
cana-3686	91	15	to	to	PART
cana-3686	91	16	induce	induce	VERB
cana-3686	91	17	probability	probability	NOUN
cana-3686	91	18	distributions	distribution	NOUN
cana-3686	91	19	”	"	PUNCT
cana-3686	91	20	,	,	PUNCT
cana-3686	91	21	communication	communication	NOUN
cana-3686	91	22	in	in	ADP
cana-3686	91	23	statistics	statistic	NOUN
cana-3686	91	24	-	-	PUNCT
cana-3686	91	25	theory	theory	NOUN
cana-3686	91	26	and	and	CCONJ
cana-3686	91	27	methods	method	NOUN
cana-3686	91	28	,	,	PUNCT
cana-3686	91	29	vol	vol	NOUN
cana-3686	91	30	/	/	SYM
cana-3686	91	31	issue	issue	NOUN
cana-3686	91	32	:	:	PUNCT
cana-3686	91	33	32(1	32(1	NUM
cana-3686	91	34	)	)	PUNCT
cana-3686	91	35	.	.	PUNCT
cana-3686	92	1	pp	pp	ADJ
cana-3686	92	2	.	.	PUNCT
cana-3686	93	1	1	1	NUM
cana-3686	93	2	-	-	SYM
cana-3686	93	3	9	9	NUM
cana-3686	93	4	,	,	PUNCT
cana-3686	93	5	2003	2003	NUM
cana-3686	93	6	.	.	PUNCT
cana-3686	94	1	[	[	X
cana-3686	94	2	9	9	NUM
cana-3686	94	3	]	]	X
cana-3686	94	4	okasha	okasha	PROPN
cana-3686	94	5	,	,	PUNCT
cana-3686	94	6	mahmoud	mahmoud	PROPN
cana-3686	94	7	k.	k.	PROPN
cana-3686	94	8	,	,	PUNCT
cana-3686	94	9	and	and	CCONJ
cana-3686	94	10	mariam	mariam	PROPN
cana-3686	94	11	y.	y.	PROPN
cana-3686	94	12	matter	matter	NOUN
cana-3686	94	13	.	.	PUNCT
cana-3686	95	1	"	"	PUNCT
cana-3686	95	2	on	on	ADP
cana-3686	95	3	the	the	DET
cana-3686	95	4	three	three	NUM
cana-3686	95	5	-	-	PUNCT
cana-3686	95	6	parameter	parameter	NOUN
cana-3686	95	7	burr	burr	NOUN
cana-3686	95	8	type	type	NOUN
cana-3686	95	9	xii	xii	NOUN
cana-3686	95	10	distribution	distribution	NOUN
cana-3686	95	11	and	and	CCONJ
cana-3686	95	12	its	its	PRON
cana-3686	95	13	application	application	NOUN
cana-3686	95	14	to	to	ADP
cana-3686	95	15	heavy	heavy	ADJ
cana-3686	95	16	tailed	tail	VERB
cana-3686	95	17	lifetime	lifetime	NOUN
cana-3686	95	18	data	datum	NOUN
cana-3686	95	19	.	.	PUNCT
cana-3686	95	20	"	"	PUNCT
cana-3686	95	21	journal	journal	NOUN
cana-3686	95	22	:	:	PUNCT
cana-3686	95	23	journal	journal	NOUN
cana-3686	95	24	of	of	ADP
cana-3686	95	25	advances	advance	NOUN
cana-3686	95	26	in	in	ADP
cana-3686	95	27	mathematics	mathematics	PROPN
cana-3686	95	28	10.4	10.4	NUM
cana-3686	95	29	(	(	PUNCT
cana-3686	95	30	2015	2015	NUM
cana-3686	95	31	):	):	PUNCT
cana-3686	95	32	3429	3429	NUM
cana-3686	95	33	-3442	-3442	NOUN
cana-3686	95	34	.	.	PUNCT
cana-3686	96	1	[	[	X
cana-3686	96	2	10	10	NUM
cana-3686	96	3	]	]	X
cana-3686	96	4	phani	phani	PROPN
cana-3686	96	5	yedlapalli	yedlapalli	PROPN
cana-3686	96	6	,	,	PUNCT
cana-3686	96	7	s.v.s	s.v.s	PROPN
cana-3686	96	8	.	.	PUNCT
cana-3686	96	9	girija	girija	PROPN
cana-3686	96	10	,	,	PUNCT
cana-3686	96	11	a.v	a.v	PROPN
cana-3686	96	12	.	.	PROPN
cana-3686	96	13	d.	d.	PROPN
cana-3686	96	14	rao	rao	PROPN
cana-3686	96	15	,	,	PUNCT
cana-3686	96	16	and	and	CCONJ
cana-3686	96	17	sastry	sastry	NOUN
cana-3686	96	18	,	,	PUNCT
cana-3686	96	19	k.l.n	k.l.n	PROPN
cana-3686	96	20	.	.	PUNCT
cana-3686	97	1	a	a	DET
cana-3686	97	2	new	new	ADJ
cana-3686	97	3	family	family	NOUN
cana-3686	97	4	of	of	ADP
cana-3686	97	5	semicircular	semicircular	ADJ
cana-3686	97	6	and	and	CCONJ
cana-3686	97	7	circular	circular	ADJ
cana-3686	97	8	arc	arc	NOUN
cana-3686	97	9	tan	tan	PROPN
cana-3686	97	10	exponential	exponential	ADJ
cana-3686	97	11	type	type	NOUN
cana-3686	97	12	distribution	distribution	NOUN
cana-3686	97	13	.	.	PUNCT
cana-3686	98	1	thai	thai	PROPN
cana-3686	98	2	journal	journal	PROPN
cana-3686	98	3	of	of	ADP
cana-3686	98	4	mathematics	mathematic	NOUN
cana-3686	98	5	.	.	PUNCT
cana-3686	99	1	18(2	18(2	NUM
cana-3686	99	2	):	):	PUNCT
cana-3686	99	3	775	775	NUM
cana-3686	99	4	-	-	PUNCT
cana-3686	99	5	781(2020	781(2020	NUM
cana-3686	99	6	)	)	PUNCT
cana-3686	99	7	.	.	PUNCT
cana-3686	100	1	[	[	X
cana-3686	100	2	11	11	NUM
cana-3686	100	3	]	]	X
cana-3686	100	4	rambli	rambli	X
cana-3686	100	5	,	,	PUNCT
cana-3686	100	6	adzhar	adzhar	PROPN
cana-3686	100	7	,	,	PUNCT
cana-3686	100	8	et	et	PROPN
cana-3686	100	9	al	al	PROPN
cana-3686	100	10	.	.	PUNCT
cana-3686	101	1	"	"	PUNCT
cana-3686	101	2	outlier	outlier	ADJ
cana-3686	101	3	detection	detection	NOUN
cana-3686	101	4	in	in	ADP
cana-3686	101	5	a	a	DET
cana-3686	101	6	new	new	ADJ
cana-3686	101	7	half	half	ADJ
cana-3686	101	8	-circular	-circular	ADJ
cana-3686	101	9	distribution	distribution	NOUN
cana-3686	101	10	.	.	PUNCT
cana-3686	101	11	"	"	PUNCT
cana-3686	102	1	aip	aip	PROPN
cana-3686	102	2	conference	conference	NOUN
cana-3686	102	3	proceedings	proceeding	NOUN
cana-3686	102	4	.	.	PUNCT
cana-3686	103	1	vol	vol	NOUN
cana-3686	103	2	.	.	PUNCT
cana-3686	103	3	1682	1682	NUM
cana-3686	103	4	.	.	PUNCT
cana-3686	104	1	no	no	INTJ
cana-3686	104	2	.	.	NOUN
cana-3686	105	1	1	1	X
cana-3686	105	2	.	.	X
cana-3686	105	3	aip	aip	PROPN
cana-3686	105	4	publishing	publishing	PROPN
cana-3686	105	5	,	,	PUNCT
cana-3686	105	6	2015	2015	NUM
cana-3686	105	7	.	.	PUNCT
cana-3686	106	1	[	[	X
cana-3686	106	2	12	12	NUM
cana-3686	106	3	]	]	X
cana-3686	106	4	rambli	rambli	X
cana-3686	106	5	,	,	PUNCT
cana-3686	106	6	adzhar	adzhar	PROPN
cana-3686	106	7	,	,	PUNCT
cana-3686	106	8	et	et	PROPN
cana-3686	106	9	al	al	PROPN
cana-3686	106	10	.	.	PUNCT
cana-3686	107	1	"	"	PUNCT
cana-3686	107	2	a	a	DET
cana-3686	107	3	half	half	ADJ
cana-3686	107	4	-	-	PUNCT
cana-3686	107	5	circular	circular	ADJ
cana-3686	107	6	distribution	distribution	NOUN
cana-3686	107	7	on	on	ADP
cana-3686	107	8	a	a	DET
cana-3686	107	9	circle	circle	NOUN
cana-3686	107	10	.	.	PUNCT
cana-3686	107	11	"	"	PUNCT
cana-3686	108	1	sains	sain	VERB
cana-3686	108	2	malaysiana	malaysiana	PROPN
cana-3686	108	3	48.4	48.4	NUM
cana-3686	108	4	(	(	PUNCT
cana-3686	108	5	2019	2019	NUM
cana-3686	108	6	):	):	PUNCT
cana-3686	108	7	887	887	NUM
cana-3686	108	8	-	-	SYM
cana-3686	108	9	892	892	NUM
cana-3686	108	10	.	.	PUNCT
cana-3686	109	1	communications	communication	NOUN
cana-3686	109	2	on	on	ADP
cana-3686	109	3	applied	apply	VERB
cana-3686	109	4	nonlinear	nonlinear	ADJ
cana-3686	109	5	analysis	analysis	NOUN
cana-3686	109	6	issn	issn	NOUN
cana-3686	109	7	:	:	PUNCT
cana-3686	109	8	1074	1074	NUM
cana-3686	109	9	-	-	PUNCT
cana-3686	109	10	133x	133x	NUM
cana-3686	109	11	vol	vol	NOUN
cana-3686	109	12	32	32	NUM
cana-3686	109	13	no	no	NOUN
cana-3686	109	14	.	.	PUNCT
cana-3686	110	1	8s	8s	PROPN
cana-3686	110	2	(	(	PUNCT
cana-3686	110	3	2025	2025	NUM
cana-3686	110	4	)	)	PUNCT
cana-3686	110	5	425	425	NUM
cana-3686	110	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-3686	111	1	[	[	X
cana-3686	111	2	13	13	NUM
cana-3686	111	3	]	]	SYM
cana-3686	111	4	rao	rao	PROPN
cana-3686	111	5	av	av	PROPN
cana-3686	111	6	dattatreya	dattatreya	PROPN
cana-3686	111	7	,	,	PUNCT
cana-3686	111	8	and	and	CCONJ
cana-3686	111	9	s.	s.	PROPN
cana-3686	111	10	v.	v.	PROPN
cana-3686	111	11	s.	s.	PROPN
cana-3686	111	12	girija	girija	PROPN
cana-3686	111	13	.	.	PUNCT
cana-3686	112	1	angular	angular	ADJ
cana-3686	112	2	statistics	statistic	NOUN
cana-3686	112	3	.	.	PUNCT
cana-3686	113	1	chapman	chapman	NOUN
cana-3686	113	2	and	and	CCONJ
cana-3686	113	3	hall	hall	PROPN
cana-3686	113	4	/	/	SYM
cana-3686	113	5	crc	crc	NOUN
cana-3686	113	6	,	,	PUNCT
cana-3686	113	7	2019	2019	NUM
cana-3686	113	8	.	.	PUNCT
cana-3686	114	1	[	[	X
cana-3686	114	2	14	14	NUM
cana-3686	114	3	]	]	X
cana-3686	114	4	r.	r.	PROPN
cana-3686	114	5	subba	subba	PROPN
cana-3686	114	6	rao	rao	PROPN
cana-3686	114	7	,	,	PUNCT
cana-3686	114	8	g.	g.	PROPN
cana-3686	114	9	prasad	prasad	PROPN
cana-3686	114	10	,	,	PUNCT
cana-3686	114	11	r.	r.	PROPN
cana-3686	114	12	r.	r.	PROPN
cana-3686	114	13	l.	l.	PROPN
cana-3686	114	14	kantam,’acceptance	kantam,’acceptance	PROPN
cana-3686	114	15	sampling	sample	VERB
cana-3686	114	16	based	base	VERB
cana-3686	114	17	on	on	ADP
cana-3686	114	18	life	life	NOUN
cana-3686	114	19	tests	test	NOUN
cana-3686	114	20	:	:	PUNCT
cana-3686	114	21	pareto	pareto	ADJ
cana-3686	114	22	-rayleigh	-rayleigh	ADJ
cana-3686	114	23	model	model	NOUN
cana-3686	114	24	’	'	PUNCT
cana-3686	114	25	,	,	PUNCT
cana-3686	114	26	international	international	ADJ
cana-3686	114	27	journal	journal	NOUN
cana-3686	114	28	of	of	ADP
cana-3686	114	29	advanced	advanced	ADJ
cana-3686	114	30	research	research	NOUN
cana-3686	114	31	in	in	ADP
cana-3686	114	32	science	science	NOUN
cana-3686	114	33	and	and	CCONJ
cana-3686	114	34	engineering	engineering	NOUN
cana-3686	114	35	,	,	PUNCT
cana-3686	114	36	vol	vol	NOUN
cana-3686	114	37	.	.	PUNCT
cana-3686	115	1	no	no	DET
cana-3686	115	2	8	8	NUM
cana-3686	115	3	,	,	PUNCT
cana-3686	115	4	issue	issue	NOUN
cana-3686	115	5	no.08	no.08	PROPN
cana-3686	115	6	,	,	PUNCT
cana-3686	115	7	august	august	PROPN
cana-3686	115	8	2016	2016	NUM
cana-3686	115	9	,	,	PUNCT
cana-3686	115	10	issn	issn	PROPN
cana-3686	115	11	2319	2319	NUM
cana-3686	115	12	-	-	SYM
cana-3686	115	13	8354	8354	NUM
cana-3686	115	14	[	[	X
cana-3686	115	15	15	15	NUM
cana-3686	115	16	]	]	X
cana-3686	115	17	toshihiro	toshihiro	PROPN
cana-3686	115	18	abe	abe	PROPN
cana-3686	115	19	,	,	PUNCT
cana-3686	115	20	kunio	kunio	PROPN
cana-3686	115	21	shimizu	shimizu	PROPN
cana-3686	115	22	and	and	CCONJ
cana-3686	115	23	arthur	arthur	PROPN
cana-3686	115	24	pewsey	pewsey	PROPN
cana-3686	115	25	,	,	PUNCT
cana-3686	115	26	symmetric	symmetric	ADJ
cana-3686	115	27	unimodal	unimodal	ADJ
cana-3686	115	28	models	model	NOUN
cana-3686	115	29	for	for	ADP
cana-3686	115	30	directional	directional	ADJ
cana-3686	115	31	data	datum	NOUN
cana-3686	115	32	motivated	motivate	VERB
cana-3686	115	33	by	by	ADP
cana-3686	115	34	inverse	inverse	NOUN
cana-3686	115	35	stereographic	stereographic	ADJ
cana-3686	115	36	projection	projection	NOUN
cana-3686	115	37	,	,	PUNCT
cana-3686	115	38	j.	j.	PROPN
cana-3686	115	39	japan	japan	PROPN
cana-3686	115	40	statist	statist	PROPN
cana-3686	115	41	.	.	PUNCT
cana-3686	116	1	soc	soc	PROPN
cana-3686	116	2	.	.	PUNCT
cana-3686	117	1	,	,	PUNCT
cana-3686	117	2	vol	vol	NOUN
cana-3686	117	3	.	.	PROPN
cana-3686	118	1	40	40	NUM
cana-3686	118	2	(	(	PUNCT
cana-3686	118	3	no	no	INTJ
cana-3686	118	4	.	.	NOUN
cana-3686	118	5	1	1	NUM
cana-3686	118	6	)	)	PUNCT
cana-3686	118	7	,	,	PUNCT
cana-3686	118	8	(	(	PUNCT
cana-3686	118	9	2010	2010	NUM
cana-3686	118	10	)	)	PUNCT
cana-3686	118	11	,	,	PUNCT
cana-3686	119	1	pp	pp	ADP
cana-3686	119	2	.	.	PUNCT
cana-3686	120	1	45	45	NUM
cana-3686	120	2	-	-	SYM
cana-3686	120	3	61	61	NUM
cana-3686	120	4	.	.	PUNCT