id	sid	tid	token	lemma	pos
cana-1587	1	1	communications	communication	NOUN
cana-1587	1	2	on	on	ADP
cana-1587	1	3	applied	apply	VERB
cana-1587	1	4	nonlinear	nonlinear	ADJ
cana-1587	1	5	analysis	analysis	NOUN
cana-1587	1	6	issn	issn	NOUN
cana-1587	1	7	:	:	PUNCT
cana-1587	1	8	1074	1074	NUM
cana-1587	1	9	-	-	PUNCT
cana-1587	1	10	133x	133x	NUM
cana-1587	1	11	vol	vol	NOUN
cana-1587	1	12	31	31	NUM
cana-1587	1	13	no	no	NOUN
cana-1587	1	14	.	.	PUNCT
cana-1587	2	1	8s	8s	PROPN
cana-1587	2	2	(	(	PUNCT
cana-1587	2	3	2024	2024	NUM
cana-1587	2	4	)	)	PUNCT
cana-1587	2	5	757	757	NUM
cana-1587	2	6	https://internationalpubls.com	https://internationalpubls.com	NUM
cana-1587	2	7	saddle	saddle	NOUN
cana-1587	2	8	point	point	NOUN
cana-1587	2	9	techniques	technique	NOUN
cana-1587	2	10	to	to	PART
cana-1587	2	11	create	create	VERB
cana-1587	2	12	resilient	resilient	ADJ
cana-1587	2	13	estimators	estimator	NOUN
cana-1587	2	14	for	for	ADP
cana-1587	2	15	crossvariograms	crossvariogram	NOUN
cana-1587	2	16	and	and	CCONJ
cana-1587	2	17	accurate	accurate	ADJ
cana-1587	2	18	approximations	approximation	NOUN
cana-1587	2	19	of	of	ADP
cana-1587	2	20	their	their	PRON
cana-1587	2	21	distributions	distribution	NOUN
cana-1587	2	22	mohanad	mohanad	PROPN
cana-1587	2	23	n.	n.	PROPN
cana-1587	2	24	abdul	abdul	PROPN
cana-1587	2	25	sayed	sayed	PROPN
cana-1587	2	26	department	department	PROPN
cana-1587	2	27	of	of	ADP
cana-1587	2	28	computer	computer	NOUN
cana-1587	2	29	systems	system	NOUN
cana-1587	2	30	techniques	technique	NOUN
cana-1587	2	31	,	,	PUNCT
cana-1587	2	32	technical	technical	ADJ
cana-1587	2	33	institute/	institute/	NUM
cana-1587	2	34	qurna	qurna	NOUN
cana-1587	2	35	,	,	PUNCT
cana-1587	2	36	southern	southern	PROPN
cana-1587	2	37	technical	technical	PROPN
cana-1587	2	38	university	university	PROPN
cana-1587	2	39	,	,	PUNCT
cana-1587	2	40	basrah	basrah	PROPN
cana-1587	2	41	,	,	PUNCT
cana-1587	2	42	iraq	iraq	PROPN
cana-1587	2	43	.	.	PUNCT
cana-1587	3	1	mohanad87@stu.edu.iq	mohanad87@stu.edu.iq	ADJ
cana-1587	3	2	article	article	NOUN
cana-1587	3	3	history	history	NOUN
cana-1587	3	4	:	:	PUNCT
cana-1587	3	5	received	receive	VERB
cana-1587	3	6	:	:	PUNCT
cana-1587	3	7	24	24	NUM
cana-1587	3	8	-	-	PUNCT
cana-1587	3	9	04	04	NUM
cana-1587	3	10	-	-	PUNCT
cana-1587	3	11	2024	2024	NUM
cana-1587	3	12	revised	revise	VERB
cana-1587	3	13	:	:	PUNCT
cana-1587	3	14	14	14	NUM
cana-1587	3	15	-	-	SYM
cana-1587	3	16	06	06	NUM
cana-1587	3	17	-	-	PUNCT
cana-1587	3	18	2024	2024	NUM
cana-1587	3	19	accepted	accept	VERB
cana-1587	3	20	:	:	PUNCT
cana-1587	3	21	25	25	NUM
cana-1587	3	22	-	-	PUNCT
cana-1587	3	23	06	06	NUM
cana-1587	3	24	-	-	PUNCT
cana-1587	3	25	2024	2024	NUM
cana-1587	3	26	abstract	abstract	NOUN
cana-1587	3	27	:	:	PUNCT
cana-1587	3	28	this	this	DET
cana-1587	3	29	research	research	NOUN
cana-1587	3	30	introduces	introduce	VERB
cana-1587	3	31	novel	novel	ADJ
cana-1587	3	32	robust	robust	ADJ
cana-1587	3	33	cross	cross	ADJ
cana-1587	3	34	-	-	ADJ
cana-1587	3	35	variogram	variogram	ADJ
cana-1587	3	36	estimators	estimator	NOUN
cana-1587	3	37	that	that	PRON
cana-1587	3	38	expand	expand	VERB
cana-1587	3	39	upon	upon	SCONJ
cana-1587	3	40	previous	previous	ADJ
cana-1587	3	41	work	work	NOUN
cana-1587	3	42	and	and	CCONJ
cana-1587	3	43	apply	apply	VERB
cana-1587	3	44	to	to	ADP
cana-1587	3	45	the	the	DET
cana-1587	3	46	multivariate	multivariate	NOUN
cana-1587	3	47	scenario	scenario	NOUN
cana-1587	3	48	.	.	PUNCT
cana-1587	4	1	unlike	unlike	ADP
cana-1587	4	2	existing	exist	VERB
cana-1587	4	3	methodologies	methodology	NOUN
cana-1587	4	4	,	,	PUNCT
cana-1587	4	5	our	our	PRON
cana-1587	4	6	approach	approach	NOUN
cana-1587	4	7	focuses	focus	VERB
cana-1587	4	8	on	on	ADP
cana-1587	4	9	location	location	NOUN
cana-1587	4	10	estimation	estimation	NOUN
cana-1587	4	11	rather	rather	ADV
cana-1587	4	12	than	than	ADP
cana-1587	4	13	scale	scale	NOUN
cana-1587	4	14	estimation	estimation	NOUN
cana-1587	4	15	.	.	PUNCT
cana-1587	5	1	we	we	PRON
cana-1587	5	2	incorporate	incorporate	VERB
cana-1587	5	3	saddle	saddle	NOUN
cana-1587	5	4	point	point	NOUN
cana-1587	5	5	techniques	technique	NOUN
cana-1587	5	6	and	and	CCONJ
cana-1587	5	7	utilize	utilize	VERB
cana-1587	5	8	a	a	DET
cana-1587	5	9	multivariate	multivariate	NOUN
cana-1587	5	10	scale	scale	NOUN
cana-1587	5	11	-	-	PUNCT
cana-1587	5	12	contaminated	contaminate	VERB
cana-1587	5	13	normal	normal	ADJ
cana-1587	5	14	model	model	NOUN
cana-1587	5	15	to	to	PART
cana-1587	5	16	derive	derive	VERB
cana-1587	5	17	precise	precise	ADJ
cana-1587	5	18	approximations	approximation	NOUN
cana-1587	5	19	for	for	ADP
cana-1587	5	20	the	the	DET
cana-1587	5	21	sample	sample	NOUN
cana-1587	5	22	distributions	distribution	NOUN
cana-1587	5	23	of	of	ADP
cana-1587	5	24	these	these	DET
cana-1587	5	25	estimators	estimator	NOUN
cana-1587	5	26	.	.	PUNCT
cana-1587	6	1	additionally	additionally	ADV
cana-1587	6	2	,	,	PUNCT
cana-1587	6	3	we	we	PRON
cana-1587	6	4	address	address	VERB
cana-1587	6	5	the	the	DET
cana-1587	6	6	challenge	challenge	NOUN
cana-1587	6	7	of	of	ADP
cana-1587	6	8	interdependence	interdependence	NOUN
cana-1587	6	9	among	among	ADP
cana-1587	6	10	transformed	transform	VERB
cana-1587	6	11	variables	variable	NOUN
cana-1587	6	12	in	in	ADP
cana-1587	6	13	spatial	spatial	ADJ
cana-1587	6	14	observations	observation	NOUN
cana-1587	6	15	.	.	PUNCT
cana-1587	7	1	the	the	DET
cana-1587	7	2	key	key	ADJ
cana-1587	7	3	findings	finding	NOUN
cana-1587	7	4	of	of	ADP
cana-1587	7	5	this	this	DET
cana-1587	7	6	study	study	NOUN
cana-1587	7	7	include	include	VERB
cana-1587	7	8	the	the	DET
cana-1587	7	9	development	development	NOUN
cana-1587	7	10	of	of	ADP
cana-1587	7	11	resilient	resilient	ADJ
cana-1587	7	12	estimators	estimator	NOUN
cana-1587	7	13	for	for	ADP
cana-1587	7	14	cross	cross	NOUN
cana-1587	7	15	-	-	NOUN
cana-1587	7	16	variograms	variogram	NOUN
cana-1587	7	17	and	and	CCONJ
cana-1587	7	18	the	the	DET
cana-1587	7	19	characterization	characterization	NOUN
cana-1587	7	20	of	of	ADP
cana-1587	7	21	their	their	PRON
cana-1587	7	22	sample	sample	NOUN
cana-1587	7	23	distributions	distribution	NOUN
cana-1587	7	24	.	.	PUNCT
cana-1587	8	1	keywords	keyword	NOUN
cana-1587	8	2	:	:	PUNCT
cana-1587	8	3	saddle	saddle	NOUN
cana-1587	8	4	point	point	NOUN
cana-1587	8	5	techniques	technique	NOUN
cana-1587	8	6	;	;	PUNCT
cana-1587	8	7	durability	durability	NOUN
cana-1587	8	8	;	;	PUNCT
cana-1587	8	9	cross	cross	NOUN
cana-1587	8	10	-	-	NOUN
cana-1587	8	11	variogram	variogram	ADJ
cana-1587	8	12	.	.	PUNCT
cana-1587	9	1	1	1	X
cana-1587	9	2	.	.	X
cana-1587	9	3	introduction	introduction	NOUN
cana-1587	9	4	spatial	spatial	ADJ
cana-1587	9	5	interdependence	interdependence	NOUN
cana-1587	9	6	is	be	AUX
cana-1587	9	7	elucidated	elucidate	VERB
cana-1587	9	8	by	by	ADP
cana-1587	9	9	a	a	DET
cana-1587	9	10	variogram	variogram	NOUN
cana-1587	9	11	in	in	ADP
cana-1587	9	12	the	the	DET
cana-1587	9	13	univariate	univariate	ADJ
cana-1587	9	14	scenario	scenario	NOUN
cana-1587	9	15	.	.	PUNCT
cana-1587	10	1	in	in	ADP
cana-1587	10	2	the	the	DET
cana-1587	10	3	event	event	NOUN
cana-1587	10	4	that	that	SCONJ
cana-1587	10	5	there	there	PRON
cana-1587	10	6	exists	exist	VERB
cana-1587	10	7	another	another	DET
cana-1587	10	8	variable	variable	NOUN
cana-1587	10	9	as	as	SCONJ
cana-1587	10	10	the	the	DET
cana-1587	10	11	variable	variable	NOUN
cana-1587	10	12	of	of	ADP
cana-1587	10	13	interest	interest	NOUN
cana-1587	10	14	demonstrates	demonstrate	VERB
cana-1587	10	15	correlation	correlation	NOUN
cana-1587	10	16	,	,	PUNCT
cana-1587	10	17	we	we	PRON
cana-1587	10	18	aim	aim	VERB
cana-1587	10	19	to	to	PART
cana-1587	10	20	leverage	leverage	VERB
cana-1587	10	21	its	its	PRON
cana-1587	10	22	spatial	spatial	ADJ
cana-1587	10	23	intelligence	intelligence	NOUN
cana-1587	10	24	in	in	ADP
cana-1587	10	25	our	our	PRON
cana-1587	10	26	analysis	analysis	NOUN
cana-1587	10	27	.	.	PUNCT
cana-1587	11	1	,	,	PUNCT
cana-1587	11	2	we	we	PRON
cana-1587	11	3	are	be	AUX
cana-1587	11	4	compelled	compel	VERB
cana-1587	11	5	to	to	PART
cana-1587	11	6	employ	employ	VERB
cana-1587	11	7	a	a	DET
cana-1587	11	8	cross	cross	NOUN
cana-1587	11	9	-	-	NOUN
cana-1587	11	10	variogram	variogram	NOUN
cana-1587	11	11	.	.	PUNCT
cana-1587	12	1	thus	thus	ADV
cana-1587	12	2	,	,	PUNCT
cana-1587	12	3	we	we	PRON
cana-1587	12	4	broaden	broaden	VERB
cana-1587	12	5	the	the	DET
cana-1587	12	6	scope	scope	NOUN
cana-1587	12	7	of	of	ADP
cana-1587	12	8	our	our	PRON
cana-1587	12	9	investigation	investigation	NOUN
cana-1587	12	10	from	from	ADP
cana-1587	12	11	univariate	univariate	ADJ
cana-1587	12	12	analysis	analysis	NOUN
cana-1587	12	13	to	to	ADP
cana-1587	12	14	the	the	DET
cana-1587	12	15	inclusion	inclusion	NOUN
cana-1587	12	16	of	of	ADP
cana-1587	12	17	the	the	DET
cana-1587	12	18	multivariate	multivariate	NOUN
cana-1587	12	19	scenario	scenario	NOUN
cana-1587	12	20	.	.	PUNCT
cana-1587	13	1	to	to	PART
cana-1587	13	2	provide	provide	VERB
cana-1587	13	3	a	a	DET
cana-1587	13	4	formal	formal	ADJ
cana-1587	13	5	representation	representation	NOUN
cana-1587	13	6	,	,	PUNCT
cana-1587	13	7	we	we	PRON
cana-1587	13	8	consider	consider	VERB
cana-1587	13	9	an	an	DET
cana-1587	13	10	isotropic	isotropic	ADJ
cana-1587	13	11	second	second	ADJ
cana-1587	13	12	-	-	PUNCT
cana-1587	13	13	order	order	NOUN
cana-1587	13	14	stationary	stationary	ADJ
cana-1587	13	15	multivariate	multivariate	NOUN
cana-1587	13	16	spatial	spatial	ADJ
cana-1587	13	17	process	process	NOUN
cana-1587	13	18	.	.	PUNCT
cana-1587	14	1	,	,	PUNCT
cana-1587	14	2	let	let	VERB
cana-1587	14	3	w(s	w(s	PROPN
cana-1587	14	4	)	)	PUNCT
cana-1587	14	5	=	=	SYM
cana-1587	14	6	(	(	PUNCT
cana-1587	14	7	w1(s	w1(s	PROPN
cana-1587	14	8	)	)	PUNCT
cana-1587	14	9	,	,	PUNCT
cana-1587	14	10	.	.	PUNCT
cana-1587	14	11	.	.	PUNCT
cana-1587	15	1	.	.	PUNCT
cana-1587	16	1	,	,	PUNCT
cana-1587	16	2	wp(s))t	wp(s))t	X
cana-1587	16	3	,	,	PUNCT
cana-1587	16	4	s	s	VERB
cana-1587	16	5	∈	∈	PROPN
cana-1587	16	6	d	d	NOUN
cana-1587	16	7	denoted	denote	VERB
cana-1587	16	8	by	by	ADP
cana-1587	16	9	d	d	NOUN
cana-1587	16	10	representing	represent	VERB
cana-1587	16	11	a	a	DET
cana-1587	16	12	predetermined	predetermine	VERB
cana-1587	16	13	subset	subset	NOUN
cana-1587	16	14	of	of	ADP
cana-1587	16	15	rd	rd	PROPN
cana-1587	16	16	,	,	PUNCT
cana-1587	16	17	wherein	wherein	SCONJ
cana-1587	16	18	each	each	DET
cana-1587	16	19	component	component	NOUN
cana-1587	16	20	wi	wi	PROPN
cana-1587	16	21	,	,	PUNCT
cana-1587	16	22	i	i	PRON
cana-1587	16	23	=	=	NOUN
cana-1587	16	24	1	1	NUM
cana-1587	16	25	,	,	PUNCT
cana-1587	16	26	.	.	PUNCT
cana-1587	16	27	.	.	PUNCT
cana-1587	17	1	.	.	PUNCT
cana-1587	18	1	,	,	PUNCT
cana-1587	18	2	p	p	X
cana-1587	18	3	,	,	PUNCT
cana-1587	18	4	harbors	harbor	VERB
cana-1587	18	5	a	a	DET
cana-1587	18	6	constant	constant	ADJ
cana-1587	18	7	expectation	expectation	NOUN
cana-1587	18	8	and	and	CCONJ
cana-1587	18	9	variance	variance	NOUN
cana-1587	18	10	,	,	PUNCT
cana-1587	18	11	therefore	therefore	ADV
cana-1587	18	12	they	they	PRON
cana-1587	18	13	are	be	AUX
cana-1587	18	14	unaffected	unaffected	ADJ
cana-1587	18	15	by	by	ADP
cana-1587	18	16	the	the	DET
cana-1587	18	17	position	position	NOUN
cana-1587	18	18	s.	s.	PROPN
cana-1587	18	19	furthermore	furthermore	ADV
cana-1587	18	20	,	,	PUNCT
cana-1587	18	21	in	in	ADP
cana-1587	18	22	our	our	PRON
cana-1587	18	23	assumptions	assumption	NOUN
cana-1587	18	24	,	,	PUNCT
cana-1587	18	25	we	we	PRON
cana-1587	18	26	consider	consider	VERB
cana-1587	18	27	that	that	SCONJ
cana-1587	18	28	the	the	DET
cana-1587	18	29	covariance	covariance	NOUN
cana-1587	18	30	between	between	ADP
cana-1587	18	31	two	two	NUM
cana-1587	18	32	observations	observation	NOUN
cana-1587	18	33	is	be	AUX
cana-1587	18	34	dependent	dependent	ADJ
cana-1587	18	35	solely	solely	ADV
cana-1587	18	36	on	on	ADP
cana-1587	18	37	the	the	DET
cana-1587	18	38	distance	distance	NOUN
cana-1587	18	39	between	between	ADP
cana-1587	18	40	them	they	PRON
cana-1587	18	41	and	and	CCONJ
cana-1587	18	42	not	not	PART
cana-1587	18	43	on	on	ADP
cana-1587	18	44	their	their	PRON
cana-1587	18	45	specific	specific	ADJ
cana-1587	18	46	spatial	spatial	ADJ
cana-1587	18	47	coordinates	coordinate	NOUN
cana-1587	18	48	.	.	PUNCT
cana-1587	19	1	furthermore	furthermore	ADV
cana-1587	19	2	,	,	PUNCT
cana-1587	19	3	we	we	PRON
cana-1587	19	4	acknowledge	acknowledge	VERB
cana-1587	19	5	that	that	SCONJ
cana-1587	19	6	each	each	DET
cana-1587	19	7	component	component	NOUN
cana-1587	19	8	has	have	VERB
cana-1587	19	9	its	its	PRON
cana-1587	19	10	own	own	ADJ
cana-1587	19	11	variogram	variogram	NOUN
cana-1587	19	12	.	.	PUNCT
cana-1587	20	1	2	2	NUM
cana-1587	20	2	ξii(k	ξii(k	NOUN
cana-1587	20	3	)	)	PUNCT
cana-1587	20	4	=	=	PUNCT
cana-1587	20	5	var(wi(s	var(wi(s	PROPN
cana-1587	20	6	+	+	CCONJ
cana-1587	20	7	k	k	NOUN
cana-1587	20	8	)	)	PUNCT
cana-1587	20	9	−	−	NOUN
cana-1587	20	10	wi(s	wi(s	NOUN
cana-1587	20	11	)	)	PUNCT
cana-1587	20	12	)	)	PUNCT
cana-1587	20	13	,	,	PUNCT
cana-1587	20	14	∀	∀	X
cana-1587	20	15	s	s	X
cana-1587	20	16	,	,	PUNCT
cana-1587	20	17	s	s	PART
cana-1587	20	18	+	+	CCONJ
cana-1587	20	19	k	k	PROPN
cana-1587	20	20	∈	∈	PROPN
cana-1587	20	21	q	q	X
cana-1587	20	22	here	here	ADV
cana-1587	20	23	,	,	PUNCT
cana-1587	20	24	the	the	DET
cana-1587	20	25	term	term	NOUN
cana-1587	20	26	"	"	PUNCT
cana-1587	20	27	var	var	NOUN
cana-1587	20	28	"	"	PUNCT
cana-1587	20	29	represents	represent	VERB
cana-1587	20	30	the	the	DET
cana-1587	20	31	variance	variance	NOUN
cana-1587	20	32	of	of	ADP
cana-1587	20	33	the	the	DET
cana-1587	20	34	variable	variable	NOUN
cana-1587	20	35	under	under	ADP
cana-1587	20	36	consideration	consideration	NOUN
cana-1587	20	37	.	.	PUNCT
cana-1587	21	1	to	to	PART
cana-1587	21	2	evaluate	evaluate	VERB
cana-1587	21	3	the	the	DET
cana-1587	21	4	statistical	statistical	ADJ
cana-1587	21	5	relationship	relationship	NOUN
cana-1587	21	6	among	among	ADP
cana-1587	21	7	the	the	DET
cana-1587	21	8	unpredictable	unpredictable	ADJ
cana-1587	21	9	components	component	NOUN
cana-1587	21	10	of	of	ADP
cana-1587	21	11	w	w	NOUN
cana-1587	21	12	,	,	PUNCT
cana-1587	21	13	we	we	PRON
cana-1587	21	14	utilize	utilize	VERB
cana-1587	21	15	correlation	correlation	NOUN
cana-1587	21	16	coefficients	coefficient	NOUN
cana-1587	21	17	.	.	PUNCT
cana-1587	22	1	additionally	additionally	ADV
cana-1587	22	2	,	,	PUNCT
cana-1587	22	3	we	we	PRON
cana-1587	22	4	examine	examine	VERB
cana-1587	22	5	the	the	DET
cana-1587	22	6	spatial	spatial	ADJ
cana-1587	22	7	interdependence	interdependence	NOUN
cana-1587	22	8	within	within	ADP
cana-1587	22	9	each	each	DET
cana-1587	22	10	component	component	NOUN
cana-1587	22	11	using	use	VERB
cana-1587	22	12	variograms	variogram	NOUN
cana-1587	22	13	.	.	PUNCT
cana-1587	23	1	to	to	PART
cana-1587	23	2	effectively	effectively	ADV
cana-1587	23	3	capture	capture	VERB
cana-1587	23	4	the	the	DET
cana-1587	23	5	relationship	relationship	NOUN
cana-1587	23	6	within	within	ADP
cana-1587	23	7	the	the	DET
cana-1587	23	8	elements	element	NOUN
cana-1587	23	9	of	of	ADP
cana-1587	23	10	w(s	w(s	PROPN
cana-1587	23	11	)	)	PUNCT
cana-1587	23	12	as	as	ADV
cana-1587	23	13	well	well	ADV
cana-1587	23	14	as	as	ADP
cana-1587	23	15	across	across	ADP
cana-1587	23	16	different	different	ADJ
cana-1587	23	17	values	value	NOUN
cana-1587	23	18	of	of	ADP
cana-1587	23	19	s	s	PROPN
cana-1587	23	20	,	,	PUNCT
cana-1587	23	21	we	we	PRON
cana-1587	23	22	introduce	introduce	VERB
cana-1587	23	23	the	the	DET
cana-1587	23	24	concept	concept	NOUN
cana-1587	23	25	of	of	ADP
cana-1587	23	26	the	the	DET
cana-1587	23	27	cross	cross	NOUN
cana-1587	23	28	-	-	NOUN
cana-1587	23	29	variogram	variogram	ADJ
cana-1587	23	30	,	,	PUNCT
cana-1587	23	31	as	as	SCONJ
cana-1587	23	32	described	describe	VERB
cana-1587	23	33	in	in	ADP
cana-1587	23	34	the	the	DET
cana-1587	23	35	references	reference	NOUN
cana-1587	23	36	[	[	X
cana-1587	23	37	1	1	NUM
cana-1587	23	38	]	]	PUNCT
cana-1587	23	39	and	and	CCONJ
cana-1587	23	40	[	[	X
cana-1587	23	41	2	2	NUM
cana-1587	23	42	]	]	PUNCT
cana-1587	23	43	.	.	PUNCT
cana-1587	24	1	2ξij(h	2ξij(h	NUM
cana-1587	24	2	)	)	PUNCT
cana-1587	24	3	=	=	SYM
cana-1587	24	4	cov	cov	NOUN
cana-1587	24	5	(	(	PUNCT
cana-1587	24	6	wi(s	wi(s	X
cana-1587	24	7	+	+	CCONJ
cana-1587	24	8	k	k	X
cana-1587	24	9	)	)	PUNCT
cana-1587	24	10	−	−	NOUN
cana-1587	24	11	wi(s	wi(s	NOUN
cana-1587	24	12	)	)	PUNCT
cana-1587	24	13	,	,	PUNCT
cana-1587	24	14	wj(s	wj(s	X
cana-1587	24	15	+	+	CCONJ
cana-1587	24	16	k	k	X
cana-1587	24	17	)	)	PUNCT
cana-1587	24	18	−	−	PROPN
cana-1587	24	19	wj(s	wj(s	X
cana-1587	24	20	)	)	PUNCT
cana-1587	24	21	)	)	PUNCT
cana-1587	25	1	=	=	PUNCT
cana-1587	26	1	m(wi(s	m(wi(s	X
cana-1587	26	2	+	+	SYM
cana-1587	26	3	k	k	NOUN
cana-1587	26	4	)	)	PUNCT
cana-1587	26	5	−	−	NOUN
cana-1587	26	6	wi(s	wi(s	NOUN
cana-1587	26	7	)	)	PUNCT
cana-1587	26	8	)	)	PUNCT
cana-1587	26	9	·	·	PUNCT
cana-1587	27	1	(	(	PUNCT
cana-1587	27	2	wj(s	wj(s	X
cana-1587	27	3	+	+	CCONJ
cana-1587	27	4	k	k	X
cana-1587	27	5	)	)	PUNCT
cana-1587	27	6	−	−	PROPN
cana-1587	27	7	wj(s	wj(s	PROPN
cana-1587	27	8	)	)	PUNCT
cana-1587	27	9	)	)	PUNCT
cana-1587	27	10	communications	communication	NOUN
cana-1587	27	11	on	on	ADP
cana-1587	27	12	applied	apply	VERB
cana-1587	27	13	nonlinear	nonlinear	ADJ
cana-1587	27	14	analysis	analysis	NOUN
cana-1587	27	15	issn	issn	NOUN
cana-1587	27	16	:	:	PUNCT
cana-1587	27	17	1074	1074	NUM
cana-1587	27	18	-	-	PUNCT
cana-1587	27	19	133x	133x	NUM
cana-1587	27	20	vol	vol	NOUN
cana-1587	27	21	31	31	NUM
cana-1587	27	22	no	no	NOUN
cana-1587	27	23	.	.	PUNCT
cana-1587	28	1	8s	8s	PROPN
cana-1587	28	2	(	(	PUNCT
cana-1587	28	3	2024	2024	NUM
cana-1587	28	4	)	)	PUNCT
cana-1587	28	5	758	758	NUM
cana-1587	28	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-1587	28	7	∀	∀	X
cana-1587	28	8	s	s	X
cana-1587	28	9	,	,	PUNCT
cana-1587	28	10	s	s	PART
cana-1587	28	11	+	+	X
cana-1587	28	12	k	k	PROPN
cana-1587	28	13	∈	∈	PROPN
cana-1587	28	14	d	d	X
cana-1587	28	15	,	,	PUNCT
cana-1587	28	16	in	in	ADP
cana-1587	28	17	the	the	DET
cana-1587	28	18	realm	realm	NOUN
cana-1587	28	19	of	of	ADP
cana-1587	28	20	statistical	statistical	ADJ
cana-1587	28	21	analysis	analysis	NOUN
cana-1587	28	22	,	,	PUNCT
cana-1587	28	23	the	the	DET
cana-1587	28	24	term	term	NOUN
cana-1587	28	25	"	"	PUNCT
cana-1587	28	26	cov	cov	NOUN
cana-1587	28	27	"	"	PUNCT
cana-1587	28	28	beautifully	beautifully	ADV
cana-1587	28	29	encapsulates	encapsulate	VERB
cana-1587	28	30	the	the	DET
cana-1587	28	31	concept	concept	NOUN
cana-1587	28	32	of	of	ADP
cana-1587	28	33	covariance	covariance	NOUN
cana-1587	28	34	,	,	PUNCT
cana-1587	28	35	while	while	SCONJ
cana-1587	28	36	"	"	PUNCT
cana-1587	28	37	m	m	PRON
cana-1587	28	38	"	"	PUNCT
cana-1587	28	39	serves	serve	VERB
cana-1587	28	40	as	as	ADP
cana-1587	28	41	a	a	DET
cana-1587	28	42	symbol	symbol	NOUN
cana-1587	28	43	of	of	ADP
cana-1587	28	44	mathematical	mathematical	ADJ
cana-1587	28	45	expectation	expectation	NOUN
cana-1587	28	46	.	.	PUNCT
cana-1587	29	1	our	our	PRON
cana-1587	29	2	current	current	ADJ
cana-1587	29	3	definition	definition	NOUN
cana-1587	29	4	is	be	AUX
cana-1587	29	5	tailored	tailor	VERB
cana-1587	29	6	for	for	ADP
cana-1587	29	7	the	the	DET
cana-1587	29	8	realm	realm	NOUN
cana-1587	29	9	of	of	ADP
cana-1587	29	10	collocated	collocated	ADJ
cana-1587	29	11	data	datum	NOUN
cana-1587	29	12	,	,	PUNCT
cana-1587	29	13	in	in	ADP
cana-1587	29	14	which	which	PRON
cana-1587	29	15	every	every	DET
cana-1587	29	16	location	location	NOUN
cana-1587	29	17	possesses	possess	VERB
cana-1587	29	18	measurements	measurement	NOUN
cana-1587	29	19	of	of	ADP
cana-1587	29	20	all	all	DET
cana-1587	29	21	variables	variable	NOUN
cana-1587	29	22	a	a	DET
cana-1587	29	23	harmonious	harmonious	ADJ
cana-1587	29	24	situation	situation	NOUN
cana-1587	29	25	that	that	PRON
cana-1587	29	26	permeates	permeate	VERB
cana-1587	29	27	the	the	DET
cana-1587	29	28	entirety	entirety	NOUN
cana-1587	29	29	of	of	ADP
cana-1587	29	30	our	our	PRON
cana-1587	29	31	paper	paper	NOUN
cana-1587	29	32	.	.	PUNCT
cana-1587	30	1	the	the	DET
cana-1587	30	2	outcomes	outcome	NOUN
cana-1587	30	3	we	we	PRON
cana-1587	30	4	present	present	VERB
cana-1587	30	5	pertain	pertain	VERB
cana-1587	30	6	to	to	ADP
cana-1587	30	7	the	the	DET
cana-1587	30	8	remarkable	remarkable	ADJ
cana-1587	30	9	(	(	PUNCT
cana-1587	30	10	i	i	PROPN
cana-1587	30	11	,	,	PUNCT
cana-1587	30	12	j	j	PROPN
cana-1587	30	13	)	)	PUNCT
cana-1587	30	14	,	,	PUNCT
cana-1587	30	15	specifically	specifically	ADV
cana-1587	30	16	referring	refer	VERB
cana-1587	30	17	to	to	ADP
cana-1587	30	18	an	an	DET
cana-1587	30	19	unspecific	unspecific	ADJ
cana-1587	30	20	set	set	NOUN
cana-1587	30	21	of	of	ADP
cana-1587	30	22	parts	part	NOUN
cana-1587	30	23	wi	wi	PROPN
cana-1587	30	24	,	,	PUNCT
cana-1587	30	25	wjwithin	wjwithin	VERB
cana-1587	30	26	the	the	DET
cana-1587	30	27	aweinspiring	aweinspire	VERB
cana-1587	30	28	vector	vector	NOUN
cana-1587	30	29	w(s	w(s	PROPN
cana-1587	30	30	)	)	PUNCT
cana-1587	30	31	=	=	PUNCT
cana-1587	30	32	(	(	PUNCT
cana-1587	30	33	w1(s	w1(s	PROPN
cana-1587	30	34	)	)	PUNCT
cana-1587	30	35	,	,	PUNCT
cana-1587	30	36	.	.	PUNCT
cana-1587	30	37	.	.	PUNCT
cana-1587	31	1	.	.	PUNCT
cana-1587	32	1	,	,	PUNCT
cana-1587	32	2	wp(s))t	wp(s))t	PROPN
cana-1587	32	3	.	.	PUNCT
cana-1587	33	1	assume	assume	VERB
cana-1587	33	2	that	that	SCONJ
cana-1587	33	3	we	we	PRON
cana-1587	33	4	collected	collect	VERB
cana-1587	33	5	a	a	DET
cana-1587	33	6	sample	sample	NOUN
cana-1587	33	7	spanning	span	VERB
cana-1587	33	8	m	m	PROPN
cana-1587	33	9	place	place	NOUN
cana-1587	33	10	𝑠1	𝑠1	PROPN
cana-1587	33	11	,	,	PUNCT
cana-1587	33	12	...	...	PUNCT
cana-1587	33	13	,	,	PUNCT
cana-1587	33	14	𝑠𝑚	𝑠𝑚	PROPN
cana-1587	33	15	,	,	PUNCT
cana-1587	33	16	denoted	denote	VERB
cana-1587	33	17	as	as	ADP
cana-1587	33	18	w(𝑠1	w(𝑠1	NOUN
cana-1587	33	19	)	)	PUNCT
cana-1587	33	20	,	,	PUNCT
cana-1587	33	21	.	.	PUNCT
cana-1587	33	22	.	.	PUNCT
cana-1587	34	1	.	.	PUNCT
cana-1587	35	1	,	,	PUNCT
cana-1587	35	2	w(𝑠𝑚	w(𝑠𝑚	AUX
cana-1587	35	3	)	)	PUNCT
cana-1587	35	4	resulting	result	VERB
cana-1587	35	5	in	in	ADP
cana-1587	35	6	m	m	PROPN
cana-1587	35	7	observations	observation	NOUN
cana-1587	35	8	of	of	ADP
cana-1587	35	9	p	p	NOUN
cana-1587	35	10	dimensions	dimension	NOUN
cana-1587	35	11	.	.	PUNCT
cana-1587	36	1	consequently	consequently	ADV
cana-1587	36	2	,	,	PUNCT
cana-1587	36	3	the	the	DET
cana-1587	36	4	data	datum	NOUN
cana-1587	36	5	matrix	matrix	NOUN
cana-1587	36	6	takes	take	VERB
cana-1587	36	7	the	the	DET
cana-1587	36	8	form	form	NOUN
cana-1587	36	9	of	of	ADP
cana-1587	36	10	an	an	DET
cana-1587	36	11	extraordinary	extraordinary	ADJ
cana-1587	36	12	m	m	NOUN
cana-1587	36	13	×	×	NOUN
cana-1587	36	14	p	p	NOUN
cana-1587	36	15	matrix	matrix	NOUN
cana-1587	36	16	,	,	PUNCT
cana-1587	36	17	with	with	ADP
cana-1587	36	18	each	each	DET
cana-1587	36	19	element	element	NOUN
cana-1587	36	20	(	(	PUNCT
cana-1587	36	21	l	l	NOUN
cana-1587	36	22	,	,	PUNCT
cana-1587	36	23	j)-th	j)-th	PROPN
cana-1587	36	24	representing	represent	VERB
cana-1587	36	25	an	an	DET
cana-1587	36	26	observation	observation	NOUN
cana-1587	36	27	of	of	ADP
cana-1587	36	28	a	a	DET
cana-1587	36	29	component	component	NOUN
cana-1587	36	30	wj	wj	NOUN
cana-1587	36	31	at	at	ADP
cana-1587	36	32	a	a	DET
cana-1587	36	33	particular	particular	ADJ
cana-1587	36	34	location	location	NOUN
cana-1587	36	35	𝑠1	𝑠1	PROPN
cana-1587	36	36	.	.	PUNCT
cana-1587	37	1	the	the	DET
cana-1587	37	2	primary	primary	ADJ
cana-1587	37	3	objective	objective	NOUN
cana-1587	37	4	of	of	ADP
cana-1587	37	5	this	this	DET
cana-1587	37	6	paper	paper	NOUN
cana-1587	37	7	is	be	AUX
cana-1587	37	8	to	to	PART
cana-1587	37	9	establish	establish	VERB
cana-1587	37	10	novel	novel	NOUN
cana-1587	37	11	and	and	CCONJ
cana-1587	37	12	resilient	resilient	ADJ
cana-1587	37	13	estimators	estimator	NOUN
cana-1587	37	14	that	that	PRON
cana-1587	37	15	are	be	AUX
cana-1587	37	16	capable	capable	ADJ
cana-1587	37	17	of	of	ADP
cana-1587	37	18	handling	handle	VERB
cana-1587	37	19	outliers	outlier	NOUN
cana-1587	37	20	in	in	ADP
cana-1587	37	21	the	the	DET
cana-1587	37	22	cross	cross	NOUN
cana-1587	37	23	-	-	NOUN
cana-1587	37	24	variogram	variogram	ADJ
cana-1587	37	25	,	,	PUNCT
cana-1587	37	26	while	while	SCONJ
cana-1587	37	27	also	also	ADV
cana-1587	37	28	determining	determine	VERB
cana-1587	37	29	their	their	PRON
cana-1587	37	30	respective	respective	ADJ
cana-1587	37	31	sample	sample	NOUN
cana-1587	37	32	distributions	distribution	NOUN
cana-1587	37	33	.	.	PUNCT
cana-1587	38	1	up	up	ADV
cana-1587	38	2	until	until	ADP
cana-1587	38	3	this	this	DET
cana-1587	38	4	point	point	NOUN
cana-1587	38	5	,	,	PUNCT
cana-1587	38	6	there	there	PRON
cana-1587	38	7	have	have	AUX
cana-1587	38	8	only	only	ADV
cana-1587	38	9	been	be	AUX
cana-1587	38	10	two	two	NUM
cana-1587	38	11	estimators	estimator	NOUN
cana-1587	38	12	that	that	PRON
cana-1587	38	13	could	could	AUX
cana-1587	38	14	be	be	AUX
cana-1587	38	15	classified	classify	VERB
cana-1587	38	16	as	as	ADP
cana-1587	38	17	robust	robust	ADJ
cana-1587	38	18	,	,	PUNCT
cana-1587	38	19	as	as	SCONJ
cana-1587	38	20	defined	define	VERB
cana-1587	38	21	by	by	ADP
cana-1587	38	22	[	[	X
cana-1587	38	23	3	3	NUM
cana-1587	38	24	]	]	PUNCT
cana-1587	38	25	.	.	PUNCT
cana-1587	39	1	these	these	DET
cana-1587	39	2	estimators	estimator	NOUN
cana-1587	39	3	were	be	AUX
cana-1587	39	4	developed	develop	VERB
cana-1587	39	5	using	use	VERB
cana-1587	39	6	a	a	DET
cana-1587	39	7	covariance	covariance	NOUN
cana-1587	39	8	estimation	estimation	NOUN
cana-1587	39	9	method	method	NOUN
cana-1587	39	10	,	,	PUNCT
cana-1587	39	11	which	which	PRON
cana-1587	39	12	resulted	result	VERB
cana-1587	39	13	in	in	ADP
cana-1587	39	14	somewhat	somewhat	ADV
cana-1587	39	15	peculiar	peculiar	ADJ
cana-1587	39	16	and	and	CCONJ
cana-1587	39	17	challenging	challenging	ADJ
cana-1587	39	18	to	to	PART
cana-1587	39	19	implement	implement	VERB
cana-1587	39	20	estimators	estimator	NOUN
cana-1587	39	21	.	.	PUNCT
cana-1587	40	1	however	however	ADV
cana-1587	40	2	,	,	PUNCT
cana-1587	40	3	in	in	ADP
cana-1587	40	4	this	this	DET
cana-1587	40	5	study	study	NOUN
cana-1587	40	6	,	,	PUNCT
cana-1587	40	7	we	we	PRON
cana-1587	40	8	adopt	adopt	VERB
cana-1587	40	9	a	a	DET
cana-1587	40	10	different	different	ADJ
cana-1587	40	11	approach	approach	NOUN
cana-1587	40	12	by	by	ADP
cana-1587	40	13	utilizing	utilize	VERB
cana-1587	40	14	a	a	DET
cana-1587	40	15	location	location	NOUN
cana-1587	40	16	estimation	estimation	NOUN
cana-1587	40	17	method	method	NOUN
cana-1587	40	18	.	.	PUNCT
cana-1587	41	1	this	this	DET
cana-1587	41	2	approach	approach	NOUN
cana-1587	41	3	builds	build	VERB
cana-1587	41	4	upon	upon	SCONJ
cana-1587	41	5	the	the	DET
cana-1587	41	6	initial	initial	ADJ
cana-1587	41	7	idea	idea	NOUN
cana-1587	41	8	proposed	propose	VERB
cana-1587	41	9	in	in	ADP
cana-1587	41	10	[	[	X
cana-1587	41	11	4	4	NUM
cana-1587	41	12	]	]	PUNCT
cana-1587	41	13	and	and	CCONJ
cana-1587	41	14	further	far	ADV
cana-1587	41	15	refined	refine	VERB
cana-1587	41	16	in	in	ADP
cana-1587	41	17	[	[	X
cana-1587	41	18	5	5	NUM
cana-1587	41	19	]	]	PUNCT
cana-1587	41	20	,	,	PUNCT
cana-1587	41	21	but	but	CCONJ
cana-1587	41	22	applies	apply	VERB
cana-1587	41	23	it	it	PRON
cana-1587	41	24	to	to	ADP
cana-1587	41	25	the	the	DET
cana-1587	41	26	multivariate	multivariate	NOUN
cana-1587	41	27	case	case	NOUN
cana-1587	41	28	.	.	PUNCT
cana-1587	42	1	to	to	PART
cana-1587	42	2	achieve	achieve	VERB
cana-1587	42	3	this	this	PRON
cana-1587	42	4	,	,	PUNCT
cana-1587	42	5	we	we	PRON
cana-1587	42	6	embark	embark	VERB
cana-1587	42	7	on	on	ADP
cana-1587	42	8	the	the	DET
cana-1587	42	9	journey	journey	NOUN
cana-1587	42	10	with	with	ADP
cana-1587	42	11	the	the	DET
cana-1587	42	12	traditional	traditional	ADJ
cana-1587	42	13	approach	approach	NOUN
cana-1587	42	14	of	of	ADP
cana-1587	42	15	moments	moment	NOUN
cana-1587	42	16	estimator	estimator	NOUN
cana-1587	42	17	,	,	PUNCT
cana-1587	42	18	which	which	PRON
cana-1587	42	19	is	be	AUX
cana-1587	42	20	elegantly	elegantly	ADV
cana-1587	42	21	defined	define	VERB
cana-1587	42	22	as	as	ADP
cana-1587	42	23	:	:	PUNCT
cana-1587	42	24	2ξ𝑖	2ξ𝑖	ADJ
cana-1587	42	25	�	�	PROPN
cana-1587	42	26	̂	̂	VERB
cana-1587	42	27	�	�	NOUN
cana-1587	42	28	(k	(k	NOUN
cana-1587	42	29	)	)	PUNCT
cana-1587	42	30	=	=	SYM
cana-1587	43	1	1	1	NUM
cana-1587	43	2	𝑁k	𝑁k	PROPN
cana-1587	43	3	∑	∑	PUNCT
cana-1587	43	4	  	  	SPACE
cana-1587	43	5	𝑁k	𝑁k	PROPN
cana-1587	43	6	𝑙=m	𝑙=m	PROPN
cana-1587	44	1	[	[	X
cana-1587	44	2	(	(	PUNCT
cana-1587	44	3	wi(𝐬m	wi(𝐬m	NOUN
cana-1587	44	4	+	+	SYM
cana-1587	44	5	k	k	NOUN
cana-1587	44	6	)	)	PUNCT
cana-1587	44	7	−	−	PROPN
cana-1587	44	8	wi(𝐬m	wi(𝐬m	NOUN
cana-1587	44	9	)	)	PUNCT
cana-1587	44	10	)	)	PUNCT
cana-1587	45	1	⋅	⋅	PROPN
cana-1587	45	2	(	(	PUNCT
cana-1587	45	3	wj(𝐬m	wj(𝐬m	NOUN
cana-1587	45	4	+	+	CCONJ
cana-1587	45	5	k	k	NOUN
cana-1587	45	6	)	)	PUNCT
cana-1587	45	7	−	−	PROPN
cana-1587	45	8	wj(𝐬m	wj(𝐬m	PROPN
cana-1587	45	9	)	)	PUNCT
cana-1587	45	10	)	)	PUNCT
cana-1587	45	11	]	]	PUNCT
cana-1587	46	1	with	with	SCONJ
cana-1587	46	2	the	the	DET
cana-1587	46	3	size	size	NOUN
cana-1587	46	4	of	of	ADP
cana-1587	46	5	the	the	DET
cana-1587	46	6	exemplar	exemplar	ADJ
cana-1587	46	7	being	be	AUX
cana-1587	46	8	𝑛	𝑛	PRON
cana-1587	46	9	=	=	SYM
cana-1587	46	10	𝑁k	𝑁k	PROPN
cana-1587	46	11	and	and	CCONJ
cana-1587	46	12	the	the	DET
cana-1587	46	13	extent	extent	NOUN
cana-1587	46	14	of	of	ADP
cana-1587	46	15	𝑁(k	𝑁(k	NOUN
cana-1587	46	16	)	)	PUNCT
cana-1587	46	17	=	=	PRON
cana-1587	46	18	{	{	PUNCT
cana-1587	46	19	(	(	PUNCT
cana-1587	46	20	𝐬m1	𝐬m1	PROPN
cana-1587	46	21	,	,	PUNCT
cana-1587	46	22	𝐬m2	𝐬m2	PROPN
cana-1587	46	23	)	)	PUNCT
cana-1587	46	24	:	:	PUNCT
cana-1587	46	25	𝐬m1	𝐬m1	PRON
cana-1587	46	26	−	−	PROPN
cana-1587	47	1	𝐬m2	𝐬m2	NOUN
cana-1587	47	2	=	=	PUNCT
cana-1587	47	3	k	k	X
cana-1587	47	4	}	}	PUNCT
cana-1587	47	5	,	,	PUNCT
cana-1587	47	6	the	the	DET
cana-1587	47	7	realm	realm	NOUN
cana-1587	47	8	of	of	ADP
cana-1587	47	9	possibilities	possibility	NOUN
cana-1587	47	10	expands	expand	VERB
cana-1587	47	11	.	.	PUNCT
cana-1587	48	1	it	it	PRON
cana-1587	48	2	is	be	AUX
cana-1587	48	3	usually	usually	ADV
cana-1587	48	4	assumed	assume	VERB
cana-1587	48	5	that	that	SCONJ
cana-1587	48	6	spatial	spatial	ADJ
cana-1587	48	7	information	information	NOUN
cana-1587	48	8	follows	follow	VERB
cana-1587	48	9	a	a	DET
cana-1587	48	10	gaussian	gaussian	ADJ
cana-1587	48	11	shape	shape	NOUN
cana-1587	48	12	,	,	PUNCT
cana-1587	48	13	although	although	SCONJ
cana-1587	48	14	this	this	PRON
cana-1587	48	15	is	be	AUX
cana-1587	48	16	not	not	PART
cana-1587	48	17	the	the	DET
cana-1587	48	18	case	case	NOUN
cana-1587	48	19	as	as	ADP
cana-1587	48	20	a	a	DET
cana-1587	48	21	result	result	NOUN
cana-1587	48	22	of	of	ADP
cana-1587	48	23	the	the	DET
cana-1587	48	24	existence	existence	NOUN
cana-1587	48	25	of	of	ADP
cana-1587	48	26	random	random	ADJ
cana-1587	48	27	anomalies	anomaly	NOUN
cana-1587	48	28	.	.	PUNCT
cana-1587	49	1	hence	hence	ADV
cana-1587	49	2	,	,	PUNCT
cana-1587	49	3	in	in	ADP
cana-1587	49	4	this	this	DET
cana-1587	49	5	manuscript	manuscript	NOUN
cana-1587	49	6	,	,	PUNCT
cana-1587	49	7	we	we	PRON
cana-1587	49	8	propose	propose	VERB
cana-1587	49	9	a	a	DET
cana-1587	49	10	model	model	NOUN
cana-1587	49	11	that	that	PRON
cana-1587	49	12	closely	closely	ADV
cana-1587	49	13	resembles	resemble	VERB
cana-1587	49	14	the	the	DET
cana-1587	49	15	gaussian	gaussian	ADJ
cana-1587	49	16	distribution	distribution	NOUN
cana-1587	49	17	,	,	PUNCT
cana-1587	49	18	albeit	albeit	SCONJ
cana-1587	49	19	with	with	ADP
cana-1587	49	20	tails	tail	NOUN
cana-1587	49	21	that	that	PRON
cana-1587	49	22	possess	possess	VERB
cana-1587	49	23	greater	great	ADJ
cana-1587	49	24	weight	weight	NOUN
cana-1587	49	25	than	than	ADP
cana-1587	49	26	the	the	DET
cana-1587	49	27	standard	standard	NOUN
cana-1587	49	28	.	.	PUNCT
cana-1587	50	1	specifically	specifically	ADV
cana-1587	50	2	,	,	PUNCT
cana-1587	50	3	we	we	PRON
cana-1587	50	4	offer	offer	VERB
cana-1587	50	5	a	a	DET
cana-1587	50	6	new	new	ADJ
cana-1587	50	7	multivariate	multivariate	NOUN
cana-1587	50	8	-	-	PUNCT
cana-1587	50	9	scale	scale	NOUN
cana-1587	50	10	-	-	PUNCT
cana-1587	50	11	contaminated	contaminate	VERB
cana-1587	50	12	conventional	conventional	ADJ
cana-1587	50	13	distribution	distribution	NOUN
cana-1587	50	14	with	with	ADP
cana-1587	50	15	a	a	DET
cana-1587	50	16	combined	combine	VERB
cana-1587	50	17	density	density	NOUN
cana-1587	50	18	function	function	NOUN
cana-1587	50	19	of	of	ADP
cana-1587	50	20	probability	probability	NOUN
cana-1587	50	21	(	(	PUNCT
cana-1587	50	22	pdf	pdf	NOUN
cana-1587	50	23	)	)	PUNCT
cana-1587	50	24	.	.	PUNCT
cana-1587	51	1	h𝑀(w	h𝑀(w	X
cana-1587	51	2	)	)	PUNCT
cana-1587	51	3	=	=	SYM
cana-1587	51	4	h𝑀(w1	h𝑀(w1	PROPN
cana-1587	51	5	,	,	PUNCT
cana-1587	51	6	…	…	PUNCT
cana-1587	51	7	,	,	PUNCT
cana-1587	51	8	w𝑝	w𝑝	PROPN
cana-1587	51	9	)	)	PUNCT
cana-1587	51	10	=	=	SYM
cana-1587	51	11	(	(	PUNCT
cana-1587	51	12	1	1	NUM
cana-1587	51	13	−	−	NOUN
cana-1587	51	14	𝜖)h𝑁(w	𝜖)h𝑁(w	NOUN
cana-1587	51	15	;	;	PUNCT
cana-1587	51	16	𝜇	𝜇	X
cana-1587	51	17	,	,	PUNCT
cana-1587	51	18	σ	σ	NOUN
cana-1587	51	19	)	)	PUNCT
cana-1587	51	20	+	+	NUM
cana-1587	51	21	𝜖h𝑁(w	𝜖h𝑁(w	NOUN
cana-1587	51	22	;	;	PUNCT
cana-1587	51	23	𝜇	𝜇	X
cana-1587	51	24	,	,	PUNCT
cana-1587	51	25	𝑔2𝚺	𝑔2𝚺	PROPN
cana-1587	51	26	)	)	PUNCT
cana-1587	51	27	(	(	PUNCT
cana-1587	51	28	1	1	X
cana-1587	51	29	)	)	PUNCT
cana-1587	51	30	with	with	ADP
cana-1587	51	31	𝜖	𝜖	PROPN
cana-1587	51	32	∈	∈	PROPN
cana-1587	51	33	(	(	PUNCT
cana-1587	51	34	0,1	0,1	NUM
cana-1587	51	35	)	)	PUNCT
cana-1587	51	36	;	;	PUNCT
cana-1587	51	37	𝑔	𝑔	X
cana-1587	51	38	>	>	X
cana-1587	51	39	1	1	NUM
cana-1587	51	40	;	;	PUNCT
cana-1587	51	41	h𝑁(w	h𝑁(w	NOUN
cana-1587	51	42	;	;	PUNCT
cana-1587	51	43	𝜇	𝜇	X
cana-1587	51	44	,	,	PUNCT
cana-1587	51	45	σ	σ	PROPN
cana-1587	51	46	)	)	PUNCT
cana-1587	51	47	represents	represent	VERB
cana-1587	51	48	probability	probability	NOUN
cana-1587	51	49	density	density	NOUN
cana-1587	51	50	function	function	NOUN
cana-1587	51	51	of	of	ADP
cana-1587	51	52	a	a	DET
cana-1587	51	53	multi	multi	ADJ
cana-1587	51	54	-	-	ADJ
cana-1587	51	55	dimensional	dimensional	ADJ
cana-1587	51	56	random	random	ADJ
cana-1587	51	57	vector	vector	NOUN
cana-1587	51	58	that	that	PRON
cana-1587	51	59	follows	follow	VERB
cana-1587	51	60	a	a	DET
cana-1587	51	61	normal	normal	ADJ
cana-1587	51	62	distribution	distribution	NOUN
cana-1587	51	63	,	,	PUNCT
cana-1587	51	64	with	with	ADP
cana-1587	51	65	a	a	DET
cana-1587	51	66	mean	mean	ADJ
cana-1587	51	67	vector	vector	NOUN
cana-1587	51	68	v	v	NOUN
cana-1587	51	69	=	=	SYM
cana-1587	51	70	(	(	PUNCT
cana-1587	51	71	v1	v1	PROPN
cana-1587	51	72	,	,	PUNCT
cana-1587	51	73	…	…	PUNCT
cana-1587	51	74	,	,	PUNCT
cana-1587	51	75	v𝑝)and	v𝑝)and	NOUN
cana-1587	51	76	a	a	DET
cana-1587	51	77	covariance	covariance	NOUN
cana-1587	51	78	matrix	matrix	NOUN
cana-1587	51	79	σ	σ	NOUN
cana-1587	51	80	.	.	PUNCT
cana-1587	52	1	the	the	DET
cana-1587	52	2	covariance	covariance	NOUN
cana-1587	52	3	matrix	matrix	NOUN
cana-1587	52	4	is	be	AUX
cana-1587	52	5	a	a	DET
cana-1587	52	6	square	square	ADJ
cana-1587	52	7	matrix	matrix	NOUN
cana-1587	52	8	with	with	ADP
cana-1587	52	9	values	value	NOUN
cana-1587	52	10	𝜎𝑖	𝜎𝑖	PRON
cana-1587	52	11	2	2	NUM
cana-1587	52	12	,	,	PUNCT
cana-1587	52	13	𝑖	𝑖	NOUN
cana-1587	52	14	=	=	SYM
cana-1587	52	15	1	1	NUM
cana-1587	52	16	,	,	PUNCT
cana-1587	52	17	…	…	PUNCT
cana-1587	52	18	,	,	PUNCT
cana-1587	52	19	𝑝	𝑝	NOUN
cana-1587	52	20	on	on	ADP
cana-1587	52	21	its	its	PRON
cana-1587	52	22	diagonal	diagonal	NOUN
cana-1587	52	23	.	.	PUNCT
cana-1587	53	1	in	in	ADP
cana-1587	53	2	this	this	DET
cana-1587	53	3	conceptual	conceptual	ADJ
cana-1587	53	4	structure	structure	NOUN
cana-1587	53	5	,	,	PUNCT
cana-1587	53	6	it	it	PRON
cana-1587	53	7	embodies	embody	VERB
cana-1587	53	8	the	the	DET
cana-1587	53	9	minute	minute	ADJ
cana-1587	53	10	fraction	fraction	NOUN
cana-1587	53	11	of	of	ADP
cana-1587	53	12	deviant	deviant	ADJ
cana-1587	53	13	data	datum	NOUN
cana-1587	53	14	points	point	NOUN
cana-1587	53	15	within	within	ADP
cana-1587	53	16	the	the	DET
cana-1587	53	17	collected	collected	ADJ
cana-1587	53	18	sample	sample	NOUN
cana-1587	53	19	and	and	CCONJ
cana-1587	53	20	embodies	embody	VERB
cana-1587	53	21	the	the	DET
cana-1587	53	22	magnitude	magnitude	NOUN
cana-1587	53	23	of	of	ADP
cana-1587	53	24	impurity	impurity	NOUN
cana-1587	53	25	.	.	PUNCT
cana-1587	54	1	if	if	SCONJ
cana-1587	54	2	the	the	DET
cana-1587	54	3	aforementioned	aforementioned	ADJ
cana-1587	54	4	criteria	criterion	NOUN
cana-1587	54	5	are	be	AUX
cana-1587	54	6	met	meet	VERB
cana-1587	54	7	,	,	PUNCT
cana-1587	54	8	this	this	DET
cana-1587	54	9	conceptual	conceptual	ADJ
cana-1587	54	10	framework	framework	NOUN
cana-1587	54	11	simplifies	simplifie	NOUN
cana-1587	54	12	into	into	ADP
cana-1587	54	13	the	the	DET
cana-1587	54	14	multidimensional	multidimensional	ADJ
cana-1587	54	15	gaussian	gaussian	ADJ
cana-1587	54	16	distribution	distribution	NOUN
cana-1587	54	17	and	and	CCONJ
cana-1587	54	18	,	,	PUNCT
cana-1587	54	19	if	if	SCONJ
cana-1587	54	20	both	both	DET
cana-1587	54	21	conditions	condition	NOUN
cana-1587	54	22	if	if	SCONJ
cana-1587	54	23	𝑒	𝑒	PROPN
cana-1587	54	24	=	=	SYM
cana-1587	54	25	0	0	NUM
cana-1587	54	26	or	or	CCONJ
cana-1587	54	27	𝑔	𝑔	PROPN
cana-1587	54	28	=	=	SYM
cana-1587	54	29	1	1	NUM
cana-1587	54	30	and	and	CCONJ
cana-1587	54	31	𝜖	𝜖	X
cana-1587	54	32	>	>	X
cana-1587	54	33	0	0	PUNCT
cana-1587	54	34	and	and	CCONJ
cana-1587	54	35	𝑔	𝑔	PROPN
cana-1587	54	36	>	>	X
cana-1587	54	37	1are	1are	PROPN
cana-1587	54	38	satisfied	satisfied	ADJ
cana-1587	54	39	,	,	PUNCT
cana-1587	54	40	it	it	PRON
cana-1587	54	41	mimics	mimic	VERB
cana-1587	54	42	the	the	DET
cana-1587	54	43	standard	standard	ADJ
cana-1587	54	44	distribution	distribution	NOUN
cana-1587	54	45	in	in	ADP
cana-1587	54	46	its	its	PRON
cana-1587	54	47	core	core	NOUN
cana-1587	54	48	region	region	NOUN
cana-1587	54	49	but	but	CCONJ
cana-1587	54	50	exhibits	exhibit	VERB
cana-1587	54	51	more	more	ADV
cana-1587	54	52	pronounced	pronounced	ADJ
cana-1587	54	53	extremities	extremity	NOUN
cana-1587	54	54	.	.	PUNCT
cana-1587	55	1	communications	communication	NOUN
cana-1587	55	2	on	on	ADP
cana-1587	55	3	applied	apply	VERB
cana-1587	55	4	nonlinear	nonlinear	ADJ
cana-1587	55	5	analysis	analysis	NOUN
cana-1587	55	6	issn	issn	NOUN
cana-1587	55	7	:	:	PUNCT
cana-1587	55	8	1074	1074	NUM
cana-1587	55	9	-	-	PUNCT
cana-1587	55	10	133x	133x	NUM
cana-1587	55	11	vol	vol	NOUN
cana-1587	55	12	31	31	NUM
cana-1587	55	13	no	no	NOUN
cana-1587	55	14	.	.	PUNCT
cana-1587	56	1	8s	8s	PROPN
cana-1587	56	2	(	(	PUNCT
cana-1587	56	3	2024	2024	NUM
cana-1587	56	4	)	)	PUNCT
cana-1587	56	5	759	759	NUM
cana-1587	56	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-1587	56	7	this	this	PRON
cana-1587	56	8	is	be	AUX
cana-1587	56	9	the	the	DET
cana-1587	56	10	customary	customary	ADJ
cana-1587	56	11	path	path	NOUN
cana-1587	56	12	in	in	ADP
cana-1587	56	13	which	which	PRON
cana-1587	56	14	sturdy	sturdy	ADJ
cana-1587	56	15	data	data	NOUN
cana-1587	56	16	analysis	analysis	NOUN
cana-1587	56	17	manages	manage	VERB
cana-1587	56	18	the	the	DET
cana-1587	56	19	deviation	deviation	NOUN
cana-1587	56	20	from	from	ADP
cana-1587	56	21	normality	normality	NOUN
cana-1587	56	22	in	in	ADP
cana-1587	56	23	the	the	DET
cana-1587	56	24	data	datum	NOUN
cana-1587	56	25	:	:	PUNCT
cana-1587	56	26	by	by	ADP
cana-1587	56	27	determining	determine	VERB
cana-1587	56	28	a	a	DET
cana-1587	56	29	vicinity	vicinity	NOUN
cana-1587	56	30	encompassing	encompass	VERB
cana-1587	56	31	the	the	DET
cana-1587	56	32	standard	standard	ADJ
cana-1587	56	33	modeling	modeling	NOUN
cana-1587	56	34	shipping	shipping	NOUN
cana-1587	56	35	,	,	PUNCT
cana-1587	56	36	also	also	ADV
cana-1587	56	37	known	know	VERB
cana-1587	56	38	as	as	ADP
cana-1587	56	39	the	the	DET
cana-1587	56	40	contaminated	contaminate	VERB
cana-1587	56	41	neighborhood	neighborhood	NOUN
cana-1587	56	42	,	,	PUNCT
cana-1587	56	43	wherever	wherever	SCONJ
cana-1587	56	44	the	the	DET
cana-1587	56	45	fundamental	fundamental	ADJ
cana-1587	56	46	hypothesis	hypothesis	NOUN
cana-1587	56	47	is	be	AUX
cana-1587	56	48	located	locate	VERB
cana-1587	56	49	(	(	PUNCT
cana-1587	56	50	[	[	X
cana-1587	56	51	6	6	NUM
cana-1587	56	52	-	-	SYM
cana-1587	56	53	8	8	NUM
cana-1587	56	54	]	]	PUNCT
cana-1587	56	55	,	,	PUNCT
cana-1587	56	56	[	[	X
cana-1587	56	57	9	9	NUM
cana-1587	56	58	]	]	NUM
cana-1587	56	59	)	)	PUNCT
cana-1587	56	60	.	.	PUNCT
cana-1587	57	1	the	the	DET
cana-1587	57	2	distinct	distinct	ADJ
cana-1587	57	3	distributions	distribution	NOUN
cana-1587	57	4	of	of	ADP
cana-1587	57	5	the	the	DET
cana-1587	57	6	variables	variable	NOUN
cana-1587	57	7	generated	generate	VERB
cana-1587	57	8	by	by	ADP
cana-1587	57	9	these	these	DET
cana-1587	57	10	combined	combine	VERB
cana-1587	57	11	distributions	distribution	NOUN
cana-1587	57	12	are	be	AUX
cana-1587	57	13	represented	represent	VERB
cana-1587	57	14	by	by	ADP
cana-1587	57	15	the	the	DET
cana-1587	57	16	multivariate	multivariate	NOUN
cana-1587	57	17	scale	scale	NOUN
cana-1587	57	18	,	,	PUNCT
cana-1587	57	19	which	which	PRON
cana-1587	57	20	is	be	AUX
cana-1587	57	21	impacted	impact	VERB
cana-1587	57	22	by	by	ADP
cana-1587	57	23	the	the	DET
cana-1587	57	24	normal	normal	ADJ
cana-1587	57	25	models	model	NOUN
cana-1587	57	26	.	.	PUNCT
cana-1587	58	1	(	(	PUNCT
cana-1587	58	2	1	1	NUM
cana-1587	58	3	−	−	NOUN
cana-1587	58	4	𝜖)𝑁(v𝑖	𝜖)𝑁(v𝑖	PROPN
cana-1587	58	5	,	,	PUNCT
cana-1587	58	6	𝜎𝑖	𝜎𝑖	DET
cana-1587	58	7	2	2	NUM
cana-1587	58	8	)	)	PUNCT
cana-1587	58	9	+	+	CCONJ
cana-1587	58	10	𝜖𝑁(v𝑖	𝜖𝑁(v𝑖	ADJ
cana-1587	58	11	,	,	PUNCT
cana-1587	58	12	𝑔2𝜎𝑖	𝑔2𝜎𝑖	NOUN
cana-1587	58	13	2	2	NUM
cana-1587	58	14	)	)	PUNCT
cana-1587	58	15	.	.	PUNCT
cana-1587	59	1	spatial	spatial	ADJ
cana-1587	59	2	analysis	analysis	NOUN
cana-1587	59	3	of	of	ADP
cana-1587	59	4	multivariate	multivariate	NOUN
cana-1587	59	5	spatial	spatial	ADJ
cana-1587	59	6	processes	process	NOUN
cana-1587	59	7	involves	involve	VERB
cana-1587	59	8	the	the	DET
cana-1587	59	9	examination	examination	NOUN
cana-1587	59	10	of	of	ADP
cana-1587	59	11	statistical	statistical	ADJ
cana-1587	59	12	associations	association	NOUN
cana-1587	59	13	between	between	ADP
cana-1587	59	14	different	different	ADJ
cana-1587	59	15	components	component	NOUN
cana-1587	59	16	and	and	CCONJ
cana-1587	59	17	the	the	DET
cana-1587	59	18	capturing	capturing	NOUN
cana-1587	59	19	of	of	ADP
cana-1587	59	20	spatial	spatial	ADJ
cana-1587	59	21	interrelationships	interrelationship	NOUN
cana-1587	59	22	.	.	PUNCT
cana-1587	60	1	the	the	DET
cana-1587	60	2	focus	focus	NOUN
cana-1587	60	3	of	of	ADP
cana-1587	60	4	our	our	PRON
cana-1587	60	5	study	study	NOUN
cana-1587	60	6	is	be	AUX
cana-1587	60	7	to	to	PART
cana-1587	60	8	develop	develop	VERB
cana-1587	60	9	advanced	advanced	ADJ
cana-1587	60	10	and	and	CCONJ
cana-1587	60	11	resilient	resilient	ADJ
cana-1587	60	12	cross	cross	ADJ
cana-1587	60	13	-	-	ADJ
cana-1587	60	14	variogram	variogram	ADJ
cana-1587	60	15	estimators	estimator	NOUN
cana-1587	60	16	specifically	specifically	ADV
cana-1587	60	17	designed	design	VERB
cana-1587	60	18	for	for	ADP
cana-1587	60	19	multivariate	multivariate	NOUN
cana-1587	60	20	scenarios	scenario	NOUN
cana-1587	60	21	,	,	PUNCT
cana-1587	60	22	while	while	SCONJ
cana-1587	60	23	also	also	ADV
cana-1587	60	24	determining	determine	VERB
cana-1587	60	25	their	their	PRON
cana-1587	60	26	corresponding	correspond	VERB
cana-1587	60	27	sample	sample	NOUN
cana-1587	60	28	distributions	distribution	NOUN
cana-1587	60	29	.	.	PUNCT
cana-1587	61	1	the	the	DET
cana-1587	61	2	existing	exist	VERB
cana-1587	61	3	methodologies	methodology	NOUN
cana-1587	61	4	,	,	PUNCT
cana-1587	61	5	notably	notably	ADV
cana-1587	61	6	those	those	PRON
cana-1587	61	7	proposed	propose	VERB
cana-1587	61	8	by	by	ADP
cana-1587	61	9	lark	lark	NOUN
cana-1587	61	10	,	,	PUNCT
cana-1587	61	11	have	have	AUX
cana-1587	61	12	introduced	introduce	VERB
cana-1587	61	13	cross	cross	ADJ
cana-1587	61	14	-	-	ADJ
cana-1587	61	15	variogram	variogram	ADJ
cana-1587	61	16	estimators	estimator	NOUN
cana-1587	61	17	.	.	PUNCT
cana-1587	62	1	in	in	ADP
cana-1587	62	2	any	any	DET
cana-1587	62	3	case	case	NOUN
cana-1587	62	4	,	,	PUNCT
cana-1587	62	5	they	they	PRON
cana-1587	62	6	suffer	suffer	VERB
cana-1587	62	7	from	from	ADP
cana-1587	62	8	a	a	DET
cana-1587	62	9	significant	significant	ADJ
cana-1587	62	10	limitation	limitation	NOUN
cana-1587	62	11	:	:	PUNCT
cana-1587	62	12	the	the	DET
cana-1587	62	13	sample	sample	NOUN
cana-1587	62	14	distributions	distribution	NOUN
cana-1587	62	15	of	of	ADP
cana-1587	62	16	these	these	DET
cana-1587	62	17	estimators	estimator	NOUN
cana-1587	62	18	have	have	AUX
cana-1587	62	19	not	not	PART
cana-1587	62	20	been	be	AUX
cana-1587	62	21	established	establish	VERB
cana-1587	62	22	or	or	CCONJ
cana-1587	62	23	adequately	adequately	ADV
cana-1587	62	24	described	describe	VERB
cana-1587	62	25	.	.	PUNCT
cana-1587	63	1	this	this	DET
cana-1587	63	2	limitation	limitation	NOUN
cana-1587	63	3	presents	present	VERB
cana-1587	63	4	obstacles	obstacle	NOUN
cana-1587	63	5	to	to	ADP
cana-1587	63	6	accurate	accurate	ADJ
cana-1587	63	7	deduction	deduction	NOUN
cana-1587	63	8	and	and	CCONJ
cana-1587	63	9	analysis	analysis	NOUN
cana-1587	63	10	of	of	ADP
cana-1587	63	11	spatial	spatial	ADJ
cana-1587	63	12	association	association	NOUN
cana-1587	63	13	.	.	PUNCT
cana-1587	64	1	furthermore	furthermore	ADV
cana-1587	64	2	,	,	PUNCT
cana-1587	64	3	lark	lark	PROPN
cana-1587	64	4	's	's	PART
cana-1587	64	5	approach	approach	NOUN
cana-1587	64	6	primarily	primarily	ADV
cana-1587	64	7	emphasizes	emphasize	VERB
cana-1587	64	8	scale	scale	NOUN
cana-1587	64	9	estimation	estimation	NOUN
cana-1587	64	10	,	,	PUNCT
cana-1587	64	11	which	which	PRON
cana-1587	64	12	may	may	AUX
cana-1587	64	13	not	not	PART
cana-1587	64	14	be	be	AUX
cana-1587	64	15	suitable	suitable	ADJ
cana-1587	64	16	for	for	ADP
cana-1587	64	17	all	all	DET
cana-1587	64	18	cases	case	NOUN
cana-1587	64	19	and	and	CCONJ
cana-1587	64	20	scenarios	scenario	NOUN
cana-1587	64	21	.	.	PUNCT
cana-1587	65	1	to	to	PART
cana-1587	65	2	defeat	defeat	VERB
cana-1587	65	3	these	these	DET
cana-1587	65	4	obstacles	obstacle	NOUN
cana-1587	65	5	,	,	PUNCT
cana-1587	65	6	our	our	PRON
cana-1587	65	7	suggested	suggest	VERB
cana-1587	65	8	technique	technique	NOUN
cana-1587	65	9	moves	move	VERB
cana-1587	65	10	the	the	DET
cana-1587	65	11	concentration	concentration	NOUN
cana-1587	65	12	from	from	ADP
cana-1587	65	13	size	size	NOUN
cana-1587	65	14	estimation	estimation	NOUN
cana-1587	65	15	to	to	ADP
cana-1587	65	16	location	location	NOUN
cana-1587	65	17	estimation	estimation	NOUN
cana-1587	65	18	,	,	PUNCT
cana-1587	65	19	which	which	PRON
cana-1587	65	20	is	be	AUX
cana-1587	65	21	an	an	DET
cana-1587	65	22	alternative	alternative	ADJ
cana-1587	65	23	approach	approach	NOUN
cana-1587	65	24	.	.	PUNCT
cana-1587	66	1	an	an	DET
cana-1587	66	2	advanced	advanced	ADJ
cana-1587	66	3	multivariate	multivariate	NOUN
cana-1587	66	4	scale	scale	NOUN
cana-1587	66	5	-	-	PUNCT
cana-1587	66	6	contaminated	contaminate	VERB
cana-1587	66	7	normal	normal	ADJ
cana-1587	66	8	model	model	NOUN
cana-1587	66	9	is	be	AUX
cana-1587	66	10	utilized	utilize	VERB
cana-1587	66	11	,	,	PUNCT
cana-1587	66	12	along	along	ADP
cana-1587	66	13	with	with	ADP
cana-1587	66	14	state	state	NOUN
cana-1587	66	15	-	-	PUNCT
cana-1587	66	16	of	of	ADP
cana-1587	66	17	-	-	PUNCT
cana-1587	66	18	the	the	DET
cana-1587	66	19	-	-	PUNCT
cana-1587	66	20	art	art	NOUN
cana-1587	66	21	saddle	saddle	NOUN
cana-1587	66	22	point	point	NOUN
cana-1587	66	23	techniques	technique	NOUN
cana-1587	66	24	.	.	PUNCT
cana-1587	67	1	because	because	SCONJ
cana-1587	67	2	of	of	ADP
cana-1587	67	3	this	this	PRON
cana-1587	67	4	,	,	PUNCT
cana-1587	67	5	we	we	PRON
cana-1587	67	6	can	can	AUX
cana-1587	67	7	track	track	VERB
cana-1587	67	8	down	down	ADP
cana-1587	67	9	exceptionally	exceptionally	ADV
cana-1587	67	10	close	close	ADJ
cana-1587	67	11	estimates	estimate	NOUN
cana-1587	67	12	for	for	ADP
cana-1587	67	13	the	the	DET
cana-1587	67	14	estimators	estimator	NOUN
cana-1587	67	15	'	'	PART
cana-1587	67	16	sample	sample	NOUN
cana-1587	67	17	distributions	distribution	NOUN
cana-1587	67	18	.	.	PUNCT
cana-1587	68	1	in	in	ADP
cana-1587	68	2	any	any	DET
cana-1587	68	3	event	event	NOUN
cana-1587	68	4	,	,	PUNCT
cana-1587	68	5	while	while	SCONJ
cana-1587	68	6	dealing	deal	VERB
cana-1587	68	7	with	with	ADP
cana-1587	68	8	data	datum	NOUN
cana-1587	68	9	that	that	PRON
cana-1587	68	10	contains	contain	VERB
cana-1587	68	11	exemptions	exemption	NOUN
cana-1587	68	12	and	and	CCONJ
cana-1587	68	13	different	different	ADJ
cana-1587	68	14	anomalies	anomaly	NOUN
cana-1587	68	15	,	,	PUNCT
cana-1587	68	16	this	this	DET
cana-1587	68	17	technique	technique	NOUN
cana-1587	68	18	allows	allow	VERB
cana-1587	68	19	us	we	PRON
cana-1587	68	20	to	to	PART
cana-1587	68	21	accomplish	accomplish	VERB
cana-1587	68	22	solid	solid	ADJ
cana-1587	68	23	estimation	estimation	NOUN
cana-1587	68	24	and	and	CCONJ
cana-1587	68	25	derivation	derivation	NOUN
cana-1587	68	26	.	.	PUNCT
cana-1587	69	1	in	in	ADP
cana-1587	69	2	addition	addition	NOUN
cana-1587	69	3	,	,	PUNCT
cana-1587	69	4	our	our	PRON
cana-1587	69	5	technique	technique	NOUN
cana-1587	69	6	generalizes	generalize	VERB
cana-1587	69	7	the	the	DET
cana-1587	69	8	work	work	NOUN
cana-1587	69	9	of	of	ADP
cana-1587	69	10	garcia	garcia	PROPN
cana-1587	69	11	-	-	PUNCT
cana-1587	69	12	perez	perez	PROPN
cana-1587	69	13	to	to	ADP
cana-1587	69	14	the	the	DET
cana-1587	69	15	case	case	NOUN
cana-1587	69	16	with	with	ADP
cana-1587	69	17	several	several	ADJ
cana-1587	69	18	variables	variable	NOUN
cana-1587	69	19	.	.	PUNCT
cana-1587	70	1	by	by	ADP
cana-1587	70	2	incorporating	incorporate	VERB
cana-1587	70	3	saddle	saddle	NOUN
cana-1587	70	4	point	point	NOUN
cana-1587	70	5	approaches	approach	NOUN
cana-1587	70	6	,	,	PUNCT
cana-1587	70	7	we	we	PRON
cana-1587	70	8	work	work	VERB
cana-1587	70	9	on	on	ADP
cana-1587	70	10	the	the	DET
cana-1587	70	11	estimators	estimator	NOUN
cana-1587	70	12	'	'	PART
cana-1587	70	13	accuracy	accuracy	NOUN
cana-1587	70	14	and	and	CCONJ
cana-1587	70	15	further	far	ADV
cana-1587	70	16	lift	lift	VERB
cana-1587	70	17	their	their	PRON
cana-1587	70	18	exceptional	exceptional	ADJ
cana-1587	70	19	performance	performance	NOUN
cana-1587	70	20	.	.	PUNCT
cana-1587	71	1	additionally	additionally	ADV
cana-1587	71	2	,	,	PUNCT
cana-1587	71	3	we	we	PRON
cana-1587	71	4	take	take	VERB
cana-1587	71	5	into	into	ADP
cana-1587	71	6	account	account	NOUN
cana-1587	71	7	the	the	DET
cana-1587	71	8	association	association	NOUN
cana-1587	71	9	among	among	ADP
cana-1587	71	10	transformed	transform	VERB
cana-1587	71	11	variables	variable	NOUN
cana-1587	71	12	,	,	PUNCT
cana-1587	71	13	in	in	ADP
cana-1587	71	14	this	this	DET
cana-1587	71	15	way	way	NOUN
cana-1587	71	16	really	really	ADV
cana-1587	71	17	addressing	address	VERB
cana-1587	71	18	the	the	DET
cana-1587	71	19	inborn	inborn	ADJ
cana-1587	71	20	reliance	reliance	NOUN
cana-1587	71	21	ordinarily	ordinarily	ADV
cana-1587	71	22	experienced	experience	VERB
cana-1587	71	23	in	in	ADP
cana-1587	71	24	spatial	spatial	ADJ
cana-1587	71	25	observations	observation	NOUN
cana-1587	71	26	.	.	PUNCT
cana-1587	72	1	in	in	ADP
cana-1587	72	2	summary	summary	NOUN
cana-1587	72	3	,	,	PUNCT
cana-1587	72	4	our	our	PRON
cana-1587	72	5	research	research	NOUN
cana-1587	72	6	tackles	tackle	VERB
cana-1587	72	7	the	the	DET
cana-1587	72	8	limitations	limitation	NOUN
cana-1587	72	9	of	of	ADP
cana-1587	72	10	ebb	ebb	NOUN
cana-1587	72	11	and	and	CCONJ
cana-1587	72	12	flow	flow	VERB
cana-1587	72	13	cross	cross	ADJ
cana-1587	72	14	-	-	ADJ
cana-1587	72	15	variogram	variogram	ADJ
cana-1587	72	16	estimators	estimator	NOUN
cana-1587	72	17	by	by	ADP
cana-1587	72	18	presenting	present	VERB
cana-1587	72	19	innovative	innovative	ADJ
cana-1587	72	20	and	and	CCONJ
cana-1587	72	21	state	state	NOUN
cana-1587	72	22	-	-	PUNCT
cana-1587	72	23	of	of	ADP
cana-1587	72	24	-	-	PUNCT
cana-1587	72	25	the	the	DET
cana-1587	72	26	-	-	PUNCT
cana-1587	72	27	art	art	NOUN
cana-1587	72	28	vigorous	vigorous	ADJ
cana-1587	72	29	estimators	estimator	NOUN
cana-1587	72	30	that	that	PRON
cana-1587	72	31	prioritize	prioritize	VERB
cana-1587	72	32	location	location	NOUN
cana-1587	72	33	estimation	estimation	NOUN
cana-1587	72	34	.	.	PUNCT
cana-1587	73	1	these	these	DET
cana-1587	73	2	advancements	advancement	NOUN
cana-1587	73	3	encompass	encompass	VERB
cana-1587	73	4	the	the	DET
cana-1587	73	5	integration	integration	NOUN
cana-1587	73	6	of	of	ADP
cana-1587	73	7	cutting	cut	VERB
cana-1587	73	8	-	-	PUNCT
cana-1587	73	9	edge	edge	NOUN
cana-1587	73	10	saddle	saddle	NOUN
cana-1587	73	11	point	point	NOUN
cana-1587	73	12	techniques	technique	NOUN
cana-1587	73	13	,	,	PUNCT
cana-1587	73	14	the	the	DET
cana-1587	73	15	utilization	utilization	NOUN
cana-1587	73	16	of	of	ADP
cana-1587	73	17	a	a	DET
cana-1587	73	18	sophisticated	sophisticated	ADJ
cana-1587	73	19	multivariate	multivariate	NOUN
cana-1587	73	20	scale	scale	NOUN
cana-1587	73	21	-	-	PUNCT
cana-1587	73	22	contaminated	contaminate	VERB
cana-1587	73	23	normal	normal	ADJ
cana-1587	73	24	model	model	NOUN
cana-1587	73	25	,	,	PUNCT
cana-1587	73	26	and	and	CCONJ
cana-1587	73	27	the	the	DET
cana-1587	73	28	far	far	ADV
cana-1587	73	29	-	-	PUNCT
cana-1587	73	30	reaching	reach	VERB
cana-1587	73	31	characterization	characterization	NOUN
cana-1587	73	32	of	of	ADP
cana-1587	73	33	sample	sample	NOUN
cana-1587	73	34	distributions	distribution	NOUN
cana-1587	73	35	.	.	PUNCT
cana-1587	74	1	through	through	ADP
cana-1587	74	2	these	these	DET
cana-1587	74	3	commitments	commitment	NOUN
cana-1587	74	4	,	,	PUNCT
cana-1587	74	5	we	we	PRON
cana-1587	74	6	enable	enable	VERB
cana-1587	74	7	more	more	ADV
cana-1587	74	8	exact	exact	ADJ
cana-1587	74	9	and	and	CCONJ
cana-1587	74	10	reliable	reliable	ADJ
cana-1587	74	11	analysis	analysis	NOUN
cana-1587	74	12	of	of	ADP
cana-1587	74	13	spatial	spatial	ADJ
cana-1587	74	14	association	association	NOUN
cana-1587	74	15	in	in	ADP
cana-1587	74	16	multivariate	multivariate	NOUN
cana-1587	74	17	spatial	spatial	ADJ
cana-1587	74	18	cycles	cycle	NOUN
cana-1587	74	19	.	.	PUNCT
cana-1587	75	1	2	2	X
cana-1587	75	2	.	.	X
cana-1587	75	3	basic	basic	ADJ
cana-1587	75	4	concepts	concept	NOUN
cana-1587	75	5	the	the	DET
cana-1587	75	6	typical	typical	ADJ
cana-1587	75	7	relationship	relationship	NOUN
cana-1587	75	8	of	of	ADP
cana-1587	75	9	spatial	spatial	ADJ
cana-1587	75	10	observations	observation	NOUN
cana-1587	75	11	w	w	NOUN
cana-1587	75	12	blocks	block	VERB
cana-1587	75	13	the	the	DET
cana-1587	75	14	application	application	NOUN
cana-1587	75	15	of	of	ADP
cana-1587	75	16	techniques	technique	NOUN
cana-1587	75	17	intended	intend	VERB
cana-1587	75	18	for	for	ADP
cana-1587	75	19	autonomous	autonomous	ADJ
cana-1587	75	20	and	and	CCONJ
cana-1587	75	21	identically	identically	ADV
cana-1587	75	22	appropriated	appropriate	VERB
cana-1587	75	23	parameters	parameter	NOUN
cana-1587	75	24	.	.	PUNCT
cana-1587	76	1	however	however	ADV
cana-1587	76	2	,	,	PUNCT
cana-1587	76	3	this	this	DET
cana-1587	76	4	limitation	limitation	NOUN
cana-1587	76	5	can	can	AUX
cana-1587	76	6	be	be	AUX
cana-1587	76	7	overcome	overcome	VERB
cana-1587	76	8	by	by	ADP
cana-1587	76	9	converting	convert	VERB
cana-1587	76	10	the	the	DET
cana-1587	76	11	original	original	ADJ
cana-1587	76	12	findings	finding	NOUN
cana-1587	76	13	w.	w.	PROPN
cana-1587	76	14	specifically	specifically	ADV
cana-1587	76	15	,	,	PUNCT
cana-1587	76	16	we	we	PRON
cana-1587	76	17	can	can	AUX
cana-1587	76	18	introduce	introduce	VERB
cana-1587	76	19	the	the	DET
cana-1587	76	20	concept	concept	NOUN
cana-1587	76	21	of	of	ADP
cana-1587	76	22	a	a	DET
cana-1587	76	23	gap	gap	NOUN
cana-1587	76	24	or	or	CCONJ
cana-1587	76	25	lag	lag	VERB
cana-1587	76	26	variable	variable	NOUN
cana-1587	76	27	ω𝑠	ω𝑠	NOUN
cana-1587	76	28	𝑖	𝑖	NOUN
cana-1587	76	29	,	,	PUNCT
cana-1587	76	30	which	which	PRON
cana-1587	76	31	serves	serve	VERB
cana-1587	76	32	as	as	ADP
cana-1587	76	33	a	a	DET
cana-1587	76	34	suitable	suitable	ADJ
cana-1587	76	35	approach	approach	NOUN
cana-1587	76	36	.	.	PUNCT
cana-1587	77	1	ω𝑠	ω𝑠	NOUN
cana-1587	77	2	𝑖	𝑖	NOUN
cana-1587	77	3	=	=	PRON
cana-1587	77	4	ω𝑠	ω𝑠	PROPN
cana-1587	77	5	𝑖	𝑖	SYM
cana-1587	77	6	(	(	PUNCT
cana-1587	77	7	k	k	NOUN
cana-1587	77	8	)	)	PUNCT
cana-1587	77	9	=	=	NOUN
cana-1587	77	10	w𝑖(𝐬	w𝑖(𝐬	PUNCT
cana-1587	78	1	+	+	CCONJ
cana-1587	78	2	k	k	X
cana-1587	78	3	)	)	PUNCT
cana-1587	78	4	−	−	NOUN
cana-1587	78	5	w𝑖(𝐬	w𝑖(𝐬	NOUN
cana-1587	78	6	)	)	PUNCT
cana-1587	78	7	.	.	PUNCT
cana-1587	79	1	communications	communication	NOUN
cana-1587	79	2	on	on	ADP
cana-1587	79	3	applied	apply	VERB
cana-1587	79	4	nonlinear	nonlinear	ADJ
cana-1587	79	5	analysis	analysis	NOUN
cana-1587	79	6	issn	issn	NOUN
cana-1587	79	7	:	:	PUNCT
cana-1587	79	8	1074	1074	NUM
cana-1587	79	9	-	-	PUNCT
cana-1587	79	10	133x	133x	NUM
cana-1587	79	11	vol	vol	NOUN
cana-1587	79	12	31	31	NUM
cana-1587	79	13	no	no	NOUN
cana-1587	79	14	.	.	PUNCT
cana-1587	80	1	8s	8s	PROPN
cana-1587	80	2	(	(	PUNCT
cana-1587	80	3	2024	2024	NUM
cana-1587	80	4	)	)	PUNCT
cana-1587	80	5	760	760	NUM
cana-1587	80	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-1587	80	7	the	the	DET
cana-1587	80	8	cross	cross	NOUN
cana-1587	80	9	-	-	ADJ
cana-1587	80	10	variogram	variogram	NOUN
cana-1587	80	11	is	be	AUX
cana-1587	80	12	currently	currently	ADV
cana-1587	80	13	available	available	ADJ
cana-1587	80	14	.	.	PUNCT
cana-1587	81	1	2ξ𝑖𝑗(k	2ξ𝑖𝑗(k	NUM
cana-1587	81	2	)	)	PUNCT
cana-1587	81	3	=	=	SYM
cana-1587	82	1	𝐸[ωs	𝐸[ωs	PROPN
cana-1587	82	2	𝑖	𝑖	PUNCT
cana-1587	82	3	⋅	⋅	PROPN
cana-1587	82	4	ωs	ωs	X
cana-1587	82	5	𝑗	𝑗	X
cana-1587	82	6	]	]	PUNCT
cana-1587	82	7	the	the	DET
cana-1587	82	8	arithmetic	arithmetic	ADJ
cana-1587	82	9	average	average	NOUN
cana-1587	82	10	of	of	ADP
cana-1587	82	11	the	the	DET
cana-1587	82	12	product	product	NOUN
cana-1587	82	13	,	,	PUNCT
cana-1587	82	14	along	along	ADP
cana-1587	82	15	with	with	ADP
cana-1587	82	16	its	its	PRON
cana-1587	82	17	traditional	traditional	ADJ
cana-1587	82	18	estimator	estimator	NOUN
cana-1587	82	19	known	know	VERB
cana-1587	82	20	as	as	ADP
cana-1587	82	21	an	an	DET
cana-1587	82	22	estimator	estimator	NOUN
cana-1587	82	23	is	be	AUX
cana-1587	82	24	based	base	VERB
cana-1587	82	25	on	on	ADP
cana-1587	82	26	moments	moment	NOUN
cana-1587	82	27	.	.	PUNCT
cana-1587	83	1	2ξ𝑖	2ξ𝑖	ADJ
cana-1587	83	2	�	�	PROPN
cana-1587	83	3	̂	̂	VERB
cana-1587	83	4	�	�	NOUN
cana-1587	83	5	(k	(k	NOUN
cana-1587	83	6	)	)	PUNCT
cana-1587	83	7	=	=	SYM
cana-1587	83	8	1	1	NUM
cana-1587	83	9	𝑁k	𝑁k	PROPN
cana-1587	83	10	∑	∑	PUNCT
cana-1587	83	11	  	  	SPACE
cana-1587	83	12	𝑁k	𝑁k	PROPN
cana-1587	83	13	𝑙=1	𝑙=1	PUNCT
cana-1587	83	14	ω𝑠𝑖	ω𝑠𝑖	NOUN
cana-1587	83	15	𝑖	𝑖	X
cana-1587	83	16	⋅	⋅	PROPN
cana-1587	83	17	ω𝑔	ω𝑔	INTJ
cana-1587	83	18	𝑗	𝑗	PROPN
cana-1587	83	19	if	if	SCONJ
cana-1587	83	20	the	the	DET
cana-1587	83	21	parameter	parameter	NOUN
cana-1587	83	22	in	in	ADP
cana-1587	83	23	the	the	DET
cana-1587	83	24	mean	mean	NOUN
cana-1587	83	25	of	of	ADP
cana-1587	83	26	the	the	DET
cana-1587	83	27	samples	sample	NOUN
cana-1587	83	28	𝑋𝑙	𝑋𝑙	NOUN
cana-1587	83	29	=	=	PUNCT
cana-1587	83	30	ω𝑠	ω𝑠	NOUN
cana-1587	83	31	𝑖	𝑖	X
cana-1587	83	32	⋅	⋅	PROPN
cana-1587	83	33	ω𝑠𝑙	ω𝑠𝑙	ADP
cana-1587	83	34	𝑗	𝑗	INTJ
cana-1587	83	35	,	,	PUNCT
cana-1587	83	36	𝑙	𝑙	NOUN
cana-1587	83	37	=	=	SYM
cana-1587	83	38	1	1	NUM
cana-1587	83	39	,	,	PUNCT
cana-1587	83	40	…	…	PUNCT
cana-1587	83	41	,	,	PUNCT
cana-1587	83	42	𝑛	𝑛	PROPN
cana-1587	83	43	,	,	PUNCT
cana-1587	83	44	is	be	AUX
cana-1587	83	45	not	not	PART
cana-1587	83	46	durable	durable	ADJ
cana-1587	83	47	,	,	PUNCT
cana-1587	83	48	thus	thus	ADV
cana-1587	83	49	we	we	PRON
cana-1587	83	50	resort	resort	VERB
cana-1587	83	51	to	to	ADP
cana-1587	83	52	location	location	NOUN
cana-1587	83	53	estimation	estimation	NOUN
cana-1587	83	54	.	.	PUNCT
cana-1587	84	1	in	in	ADP
cana-1587	84	2	this	this	DET
cana-1587	84	3	method	method	NOUN
cana-1587	84	4	,	,	PUNCT
cana-1587	84	5	the	the	DET
cana-1587	84	6	parameter	parameter	NOUN
cana-1587	84	7	under	under	ADP
cana-1587	84	8	consideration	consideration	NOUN
cana-1587	84	9	represents	represent	VERB
cana-1587	84	10	the	the	DET
cana-1587	84	11	central	central	ADJ
cana-1587	84	12	tendency	tendency	NOUN
cana-1587	84	13	,	,	PUNCT
cana-1587	84	14	specifically	specifically	ADV
cana-1587	84	15	the	the	DET
cana-1587	84	16	average	average	ADJ
cana-1587	84	17	value	value	NOUN
cana-1587	84	18	denoted	denote	VERB
cana-1587	84	19	as	as	ADP
cana-1587	84	20	the	the	DET
cana-1587	84	21	mean	mean	NOUN
cana-1587	84	22	.	.	PUNCT
cana-1587	85	1	to	to	PART
cana-1587	85	2	estimate	estimate	VERB
cana-1587	85	3	this	this	DET
cana-1587	85	4	parameter	parameter	NOUN
cana-1587	85	5	,	,	PUNCT
cana-1587	85	6	the	the	DET
cana-1587	85	7	classical	classical	ADJ
cana-1587	85	8	approach	approach	NOUN
cana-1587	85	9	involves	involve	VERB
cana-1587	85	10	employing	employ	VERB
cana-1587	85	11	the	the	DET
cana-1587	85	12	sample	sample	NOUN
cana-1587	85	13	mean	mean	VERB
cana-1587	85	14	as	as	ADP
cana-1587	85	15	the	the	DET
cana-1587	85	16	estimator	estimator	NOUN
cana-1587	85	17	.	.	PUNCT
cana-1587	86	1	rather	rather	ADV
cana-1587	86	2	than	than	ADP
cana-1587	86	3	using	use	VERB
cana-1587	86	4	an	an	DET
cana-1587	86	5	unusual	unusual	ADJ
cana-1587	86	6	estimate	estimate	NOUN
cana-1587	86	7	in	in	ADP
cana-1587	86	8	the	the	DET
cana-1587	86	9	initial	initial	ADJ
cana-1587	86	10	distributions	distribution	NOUN
cana-1587	86	11	for	for	ADP
cana-1587	86	12	an	an	DET
cana-1587	86	13	unusual	unusual	ADJ
cana-1587	86	14	parameter	parameter	NOUN
cana-1587	86	15	,	,	PUNCT
cana-1587	86	16	we	we	PRON
cana-1587	86	17	suggest	suggest	VERB
cana-1587	86	18	transforming	transform	VERB
cana-1587	86	19	dependent	dependent	ADJ
cana-1587	86	20	observations	observation	NOUN
cana-1587	86	21	w𝑙	w𝑙	VERB
cana-1587	86	22	into	into	ADP
cana-1587	86	23	new	new	ADJ
cana-1587	86	24	independent	independent	ADJ
cana-1587	86	25	data	datum	NOUN
cana-1587	86	26	𝑋𝑙	𝑋𝑙	PROPN
cana-1587	86	27	(	(	PUNCT
cana-1587	86	28	under	under	ADP
cana-1587	86	29	certain	certain	ADJ
cana-1587	86	30	conditions	condition	NOUN
cana-1587	86	31	)	)	PUNCT
cana-1587	86	32	,	,	PUNCT
cana-1587	86	33	resulting	result	VERB
cana-1587	86	34	in	in	ADP
cana-1587	86	35	a	a	DET
cana-1587	86	36	natural	natural	ADJ
cana-1587	86	37	parameter	parameter	NOUN
cana-1587	86	38	for	for	ADP
cana-1587	86	39	this	this	DET
cana-1587	86	40	new	new	ADJ
cana-1587	86	41	variable	variable	NOUN
cana-1587	86	42	that	that	PRON
cana-1587	86	43	can	can	AUX
cana-1587	86	44	be	be	AUX
cana-1587	86	45	feasibly	feasibly	ADV
cana-1587	86	46	estimated	estimate	VERB
cana-1587	86	47	with	with	ADP
cana-1587	86	48	a	a	DET
cana-1587	86	49	manageable	manageable	ADJ
cana-1587	86	50	estimator	estimator	NOUN
cana-1587	86	51	.	.	PUNCT
cana-1587	87	1	from	from	ADP
cana-1587	87	2	there	there	ADV
cana-1587	87	3	,	,	PUNCT
cana-1587	87	4	conventional	conventional	ADJ
cana-1587	87	5	robustification	robustification	NOUN
cana-1587	87	6	procedures	procedure	NOUN
cana-1587	87	7	are	be	AUX
cana-1587	87	8	applied	apply	VERB
cana-1587	87	9	.	.	PUNCT
cana-1587	88	1	the	the	DET
cana-1587	88	2	technique	technique	NOUN
cana-1587	88	3	has	have	AUX
cana-1587	88	4	been	be	AUX
cana-1587	88	5	used	use	VERB
cana-1587	88	6	effectively	effectively	ADV
cana-1587	88	7	in	in	ADP
cana-1587	88	8	[	[	X
cana-1587	88	9	4	4	NUM
cana-1587	88	10	]	]	PUNCT
cana-1587	88	11	and	and	CCONJ
cana-1587	88	12	[	[	X
cana-1587	88	13	5	5	NUM
cana-1587	88	14	]	]	PUNCT
cana-1587	88	15	.	.	PUNCT
cana-1587	89	1	a	a	DET
cana-1587	89	2	crucial	crucial	ADJ
cana-1587	89	3	challenge	challenge	NOUN
cana-1587	89	4	lies	lie	VERB
cana-1587	89	5	in	in	ADP
cana-1587	89	6	ascertaining	ascertain	VERB
cana-1587	89	7	the	the	DET
cana-1587	89	8	allocation	allocation	NOUN
cana-1587	89	9	of	of	ADP
cana-1587	89	10	the	the	DET
cana-1587	89	11	novel	novel	ADJ
cana-1587	89	12	variable	variable	NOUN
cana-1587	89	13	𝑋𝑙	𝑋𝑙	PROPN
cana-1587	89	14	derived	derive	VERB
cana-1587	89	15	from	from	ADP
cana-1587	89	16	the	the	DET
cana-1587	89	17	original	original	ADJ
cana-1587	89	18	standard	standard	ADJ
cana-1587	89	19	estimation	estimation	NOUN
cana-1587	89	20	distribution	distribution	NOUN
cana-1587	89	21	𝑍𝑙	𝑍𝑙	PROPN
cana-1587	89	22	to	to	PART
cana-1587	89	23	obtain	obtain	VERB
cana-1587	89	24	the	the	DET
cana-1587	89	25	arrangement	arrangement	NOUN
cana-1587	89	26	of	of	ADP
cana-1587	89	27	the	the	DET
cana-1587	89	28	obtained	obtain	VERB
cana-1587	89	29	sturdy	sturdy	ADJ
cana-1587	89	30	estimators	estimator	NOUN
cana-1587	89	31	.	.	PUNCT
cana-1587	90	1	herein	herein	NOUN
cana-1587	90	2	,	,	PUNCT
cana-1587	90	3	𝑋𝑙	𝑋𝑙	PROPN
cana-1587	90	4	denotes	denote	VERB
cana-1587	90	5	a	a	DET
cana-1587	90	6	combination	combination	NOUN
cana-1587	90	7	of	of	ADP
cana-1587	90	8	two	two	NUM
cana-1587	90	9	distinct	distinct	ADJ
cana-1587	90	10	standard	standard	ADJ
cana-1587	90	11	parameters	parameter	NOUN
cana-1587	90	12	.	.	PUNCT
cana-1587	91	1	2.1	2.1	NUM
cana-1587	91	2	.	.	PUNCT
cana-1587	92	1	the	the	DET
cana-1587	92	2	relationship	relationship	NOUN
cana-1587	92	3	between	between	ADP
cana-1587	92	4	𝛀𝒕	𝛀𝒕	PROPN
cana-1587	92	5	𝒊	𝒊	NOUN
cana-1587	92	6	and	and	CCONJ
cana-1587	92	7	𝛀𝒔	𝛀𝒔	PROPN
cana-1587	92	8	𝒋	𝒋	PRON
cana-1587	92	9	initially	initially	ADV
cana-1587	92	10	,	,	PUNCT
cana-1587	92	11	take	take	VERB
cana-1587	92	12	us	we	PRON
cana-1587	92	13	define	define	VERB
cana-1587	92	14	two	two	NUM
cana-1587	92	15	novel	novel	ADJ
cana-1587	92	16	functions	function	NOUN
cana-1587	92	17	that	that	PRON
cana-1587	92	18	naturally	naturally	ADV
cana-1587	92	19	extend	extend	VERB
cana-1587	92	20	the	the	DET
cana-1587	92	21	ones	one	NOUN
cana-1587	92	22	linked	link	VERB
cana-1587	92	23	with	with	ADP
cana-1587	92	24	the	the	DET
cana-1587	92	25	variogram	variogram	NOUN
cana-1587	92	26	.	.	PUNCT
cana-1587	93	1	assuming	assume	VERB
cana-1587	93	2	it	it	PRON
cana-1587	93	3	is	be	AUX
cana-1587	93	4	well	well	ADV
cana-1587	93	5	-	-	PUNCT
cana-1587	93	6	defined	define	VERB
cana-1587	93	7	,	,	PUNCT
cana-1587	93	8	we	we	PRON
cana-1587	93	9	shall	shall	AUX
cana-1587	93	10	refer	refer	VERB
cana-1587	93	11	to	to	ADP
cana-1587	93	12	the	the	DET
cana-1587	93	13	function	function	NOUN
cana-1587	93	14	between	between	ADP
cana-1587	93	15	w𝑖	w𝑖	NOUN
cana-1587	93	16	and	and	CCONJ
cana-1587	93	17	w𝑗	w𝑗	VERB
cana-1587	93	18	as	as	ADP
cana-1587	93	19	the	the	DET
cana-1587	93	20	crosscoovariogram	crosscoovariogram	PROPN
cana-1587	93	21	.	.	PUNCT
cana-1587	94	1	cc𝑖𝑗(|ς	cc𝑖𝑗(|ς	NOUN
cana-1587	95	1	−	−	PROPN
cana-1587	95	2	η|	η|	PROPN
cana-1587	95	3	)	)	PUNCT
cana-1587	95	4	=	=	SYM
cana-1587	95	5	cov	cov	NOUN
cana-1587	95	6	(	(	PUNCT
cana-1587	95	7	w𝑖(ς	w𝑖(ς	PROPN
cana-1587	95	8	)	)	PUNCT
cana-1587	95	9	,	,	PUNCT
cana-1587	95	10	w𝑗(η	w𝑗(η	NUM
cana-1587	95	11	)	)	PUNCT
cana-1587	95	12	)	)	PUNCT
cana-1587	95	13	that	that	PRON
cana-1587	95	14	will	will	AUX
cana-1587	95	15	be	be	AUX
cana-1587	95	16	equivalent	equivalent	ADJ
cana-1587	95	17	to.𝐸[w𝑖(ς	to.𝐸[w𝑖(ς	ADJ
cana-1587	95	18	)	)	PUNCT
cana-1587	95	19	.	.	PUNCT
cana-1587	96	1	w𝑗(η	w𝑗(η	NUM
cana-1587	96	2	)	)	PUNCT
cana-1587	96	3	]	]	PUNCT
cana-1587	97	1	−	−	PROPN
cana-1587	97	2	v𝑖	v𝑖	PROPN
cana-1587	97	3	⋅	⋅	PROPN
cana-1587	97	4	v𝑗.	v𝑗.	PROPN
cana-1587	97	5	here	here	ADV
cana-1587	97	6	,	,	PUNCT
cana-1587	97	7	let	let	VERB
cana-1587	97	8	a	a	DET
cana-1587	97	9	represent	represent	NOUN
cana-1587	97	10	either	either	CCONJ
cana-1587	97	11	t	t	PROPN
cana-1587	97	12	or	or	CCONJ
cana-1587	97	13	t	t	PROPN
cana-1587	98	1	+	+	CCONJ
cana-1587	98	2	k	k	PROPN
cana-1587	98	3	and	and	CCONJ
cana-1587	98	4	b	b	PROPN
cana-1587	98	5	represent	represent	VERB
cana-1587	98	6	either	either	PRON
cana-1587	98	7	s	s	VERB
cana-1587	98	8	or	or	CCONJ
cana-1587	98	9	s	s	PROPN
cana-1587	98	10	+	+	PROPN
cana-1587	98	11	k.	k.	PROPN
cana-1587	98	12	therefore	therefore	ADV
cana-1587	98	13	,	,	PUNCT
cana-1587	98	14	the	the	DET
cana-1587	98	15	v𝑖	v𝑖	NOUN
cana-1587	98	16	equals	equal	VERB
cana-1587	98	17	the	the	DET
cana-1587	98	18	expected	expect	VERB
cana-1587	98	19	value	value	NOUN
cana-1587	98	20	of	of	ADP
cana-1587	98	21	𝜎𝑖	𝜎𝑖	DET
cana-1587	98	22	2	2	NUM
cana-1587	98	23	=	=	SYM
cana-1587	98	24	𝐸[w𝑖(𝑡	𝐸[w𝑖(𝑡	X
cana-1587	98	25	+	+	X
cana-1587	98	26	k	k	X
cana-1587	98	27	)	)	PUNCT
cana-1587	98	28	]	]	PUNCT
cana-1587	98	29	which	which	PRON
cana-1587	98	30	is	be	AUX
cana-1587	98	31	equal	equal	ADJ
cana-1587	98	32	to	to	ADP
cana-1587	98	33	the	the	DET
cana-1587	98	34	expected	expect	VERB
cana-1587	98	35	value	value	NOUN
cana-1587	98	36	of	of	ADP
cana-1587	98	37	𝐸[w𝑖(𝑡	𝐸[w𝑖(𝑡	NOUN
cana-1587	98	38	)	)	PUNCT
cana-1587	98	39	]	]	PUNCT
cana-1587	98	40	,	,	PUNCT
cana-1587	98	41	and	and	CCONJ
cana-1587	98	42	similarly	similarly	ADV
cana-1587	98	43	for	for	ADP
cana-1587	98	44	j	j	PROPN
cana-1587	98	45	with	with	ADP
cana-1587	98	46	v𝑗	v𝑗	INTJ
cana-1587	98	47	being	be	AUX
cana-1587	98	48	equal	equal	ADJ
cana-1587	98	49	to	to	ADP
cana-1587	98	50	𝜎j	𝜎j	NOUN
cana-1587	98	51	2	2	NUM
cana-1587	98	52	=	=	SYM
cana-1587	98	53	𝐸[w𝑗(𝑠	𝐸[w𝑗(𝑠	NOUN
cana-1587	98	54	+	+	X
cana-1587	98	55	k	k	X
cana-1587	98	56	)	)	PUNCT
cana-1587	98	57	]	]	PUNCT
cana-1587	99	1	=	=	SYM
cana-1587	99	2	𝐸[w𝑗(𝑠	𝐸[w𝑗(𝑠	NOUN
cana-1587	99	3	)	)	PUNCT
cana-1587	99	4	]	]	PUNCT
cana-1587	99	5	,	,	PUNCT
cana-1587	99	6	due	due	ADP
cana-1587	99	7	to	to	ADP
cana-1587	99	8	the	the	DET
cana-1587	99	9	inherent	inherent	ADJ
cana-1587	99	10	stationary	stationary	ADJ
cana-1587	99	11	property	property	NOUN
cana-1587	99	12	of	of	ADP
cana-1587	99	13	w	w	PROPN
cana-1587	99	14	's	's	PART
cana-1587	99	15	components	component	NOUN
cana-1587	99	16	.	.	PUNCT
cana-1587	100	1	let	let	VERB
cana-1587	100	2	us	we	PRON
cana-1587	100	3	further	far	ADV
cana-1587	100	4	elucidate	elucidate	VERB
cana-1587	100	5	the	the	DET
cana-1587	100	6	cross	cross	ADJ
cana-1587	100	7	-	-	ADJ
cana-1587	100	8	correlation	correlation	ADJ
cana-1587	100	9	coefficient	coefficient	NOUN
cana-1587	100	10	.	.	PUNCT
cana-1587	101	1	𝜌𝑗𝑖(|k|	𝜌𝑗𝑖(|k|	NOUN
cana-1587	102	1	)	)	PUNCT
cana-1587	102	2	=	=	PUNCT
cana-1587	102	3	𝐶𝐶𝑗𝑖(|k|	𝐶𝐶𝑗𝑖(|k|	X
cana-1587	102	4	)	)	PUNCT
cana-1587	102	5	𝜎𝑙	𝜎𝑙	ADP
cana-1587	102	6	⋅	⋅	PROPN
cana-1587	102	7	𝜎𝑗	𝜎𝑗	PROPN
cana-1587	102	8	the	the	DET
cana-1587	102	9	covariance	covariance	NOUN
cana-1587	102	10	between	between	ADP
cana-1587	102	11	.	.	PUNCT
cana-1587	103	1	n	n	CCONJ
cana-1587	104	1	ω𝑡	ω𝑡	NOUN
cana-1587	104	2	𝑑	𝑑	NOUN
cana-1587	104	3	and	and	CCONJ
cana-1587	104	4	ω𝑠	ω𝑠	AUX
cana-1587	104	5	𝑗	𝑗	INTJ
cana-1587	104	6	become	become	VERB
cana-1587	104	7	cov	cov	NOUN
cana-1587	104	8	(	(	PUNCT
cana-1587	104	9	ω𝑡	ω𝑡	NOUN
cana-1587	104	10	𝑖	𝑖	INTJ
cana-1587	104	11	,	,	PUNCT
cana-1587	104	12	ω𝑠	ω𝑠	NOUN
cana-1587	104	13	𝑗	𝑗	NOUN
cana-1587	104	14	)	)	PUNCT
cana-1587	104	15	=	=	SYM
cana-1587	104	16	𝜎𝑖𝜎𝑗[2𝜌𝑖𝑗(|t	𝜎𝑖𝜎𝑗[2𝜌𝑖𝑗(|t	NOUN
cana-1587	104	17	−	−	PROPN
cana-1587	104	18	s|	s|	PROPN
cana-1587	104	19	)	)	PUNCT
cana-1587	104	20	−	−	PROPN
cana-1587	105	1	𝜌𝑖𝑗(|t	𝜌𝑖𝑗(|t	PUNCT
cana-1587	106	1	−	−	NOUN
cana-1587	106	2	s	s	PART
cana-1587	106	3	+	+	NUM
cana-1587	106	4	k|	k|	NOUN
cana-1587	106	5	)	)	PUNCT
cana-1587	106	6	−	−	NOUN
cana-1587	107	1	𝜌𝑖𝑗(|t	𝜌𝑖𝑗(|t	PUNCT
cana-1587	107	2	−	−	NOUN
cana-1587	107	3	s	s	PART
cana-1587	107	4	−	−	PROPN
cana-1587	107	5	k|	k|	PROPN
cana-1587	107	6	)	)	PUNCT
cana-1587	107	7	]	]	PUNCT
cana-1587	107	8	.	.	PUNCT
cana-1587	108	1	hence	hence	ADV
cana-1587	108	2	,	,	PUNCT
cana-1587	108	3	if	if	SCONJ
cana-1587	108	4	ω𝑡	ω𝑡	ADP
cana-1587	108	5	𝑑	𝑑	PRON
cana-1587	108	6	and	and	CCONJ
cana-1587	108	7	ω𝑠	ω𝑠	PROPN
cana-1587	108	8	𝑗	𝑗	INTJ
cana-1587	108	9	are	be	AUX
cana-1587	108	10	uncorrelated	uncorrelate	VERB
cana-1587	108	11	,	,	PUNCT
cana-1587	108	12	their	their	PRON
cana-1587	108	13	correlation	correlation	NOUN
cana-1587	108	14	will	will	AUX
cana-1587	108	15	be	be	AUX
cana-1587	108	16	zero	zero	NUM
cana-1587	108	17	.	.	PUNCT
cana-1587	109	1	2𝜌𝑖𝑗(|t	2𝜌𝑖𝑗(|t	NUM
cana-1587	109	2	−	−	PROPN
cana-1587	109	3	s|	s|	PROPN
cana-1587	109	4	)	)	PUNCT
cana-1587	109	5	−	−	PROPN
cana-1587	110	1	𝜌𝑖𝑗(|t	𝜌𝑖𝑗(|t	PUNCT
cana-1587	111	1	−	−	NOUN
cana-1587	111	2	s	s	PART
cana-1587	111	3	+	+	NUM
cana-1587	111	4	k|	k|	NOUN
cana-1587	111	5	)	)	PUNCT
cana-1587	111	6	−	−	NOUN
cana-1587	112	1	𝜌𝑖𝑗(|t	𝜌𝑖𝑗(|t	PUNCT
cana-1587	112	2	−	−	NOUN
cana-1587	112	3	s	s	PART
cana-1587	112	4	−	−	PROPN
cana-1587	112	5	k|	k|	NOUN
cana-1587	112	6	)	)	PUNCT
cana-1587	112	7	=	=	SYM
cana-1587	112	8	0	0	X
cana-1587	112	9	.	.	PUNCT
cana-1587	113	1	communications	communication	NOUN
cana-1587	113	2	on	on	ADP
cana-1587	113	3	applied	apply	VERB
cana-1587	113	4	nonlinear	nonlinear	ADJ
cana-1587	113	5	analysis	analysis	NOUN
cana-1587	113	6	issn	issn	NOUN
cana-1587	113	7	:	:	PUNCT
cana-1587	113	8	1074	1074	NUM
cana-1587	113	9	-	-	PUNCT
cana-1587	113	10	133x	133x	NUM
cana-1587	113	11	vol	vol	NOUN
cana-1587	113	12	31	31	NUM
cana-1587	113	13	no	no	NOUN
cana-1587	113	14	.	.	PUNCT
cana-1587	114	1	8s	8s	PROPN
cana-1587	114	2	(	(	PUNCT
cana-1587	114	3	2024	2024	NUM
cana-1587	114	4	)	)	PUNCT
cana-1587	114	5	761	761	NUM
cana-1587	114	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-1587	114	7	as	as	SCONJ
cana-1587	114	8	predetermined	predetermine	VERB
cana-1587	114	9	locations	location	NOUN
cana-1587	114	10	are	be	AUX
cana-1587	114	11	assumed	assume	VERB
cana-1587	114	12	,	,	PUNCT
cana-1587	114	13	we	we	PRON
cana-1587	114	14	presume	presume	VERB
cana-1587	114	15	that	that	SCONJ
cana-1587	114	16	they	they	PRON
cana-1587	114	17	are	be	AUX
cana-1587	114	18	uniformly	uniformly	ADV
cana-1587	114	19	distributed	distribute	VERB
cana-1587	114	20	along	along	ADP
cana-1587	114	21	a	a	DET
cana-1587	114	22	transect	transect	NOUN
cana-1587	114	23	.	.	PUNCT
cana-1587	115	1	this	this	PRON
cana-1587	115	2	is	be	AUX
cana-1587	115	3	exemplified	exemplify	VERB
cana-1587	115	4	in	in	ADP
cana-1587	115	5	figure	figure	NOUN
cana-1587	115	6	2.1	2.1	NUM
cana-1587	115	7	of	of	ADP
cana-1587	115	8	[	[	X
cana-1587	115	9	1	1	NUM
cana-1587	115	10	]	]	PUNCT
cana-1587	115	11	,	,	PUNCT
cana-1587	115	12	where	where	SCONJ
cana-1587	115	13	the	the	DET
cana-1587	115	14	data	datum	NOUN
cana-1587	115	15	form	form	VERB
cana-1587	115	16	a	a	DET
cana-1587	115	17	regular	regular	ADJ
cana-1587	115	18	grid	grid	NOUN
cana-1587	115	19	.	.	PUNCT
cana-1587	116	1	consequently	consequently	ADV
cana-1587	116	2	,	,	PUNCT
cana-1587	116	3	we	we	PRON
cana-1587	116	4	can	can	AUX
cana-1587	116	5	pair	pair	VERB
cana-1587	116	6	two	two	NUM
cana-1587	116	7	adjacent	adjacent	ADJ
cana-1587	116	8	w𝑖	w𝑖	NOUN
cana-1587	116	9	(	(	PUNCT
cana-1587	116	10	with	with	ADP
cana-1587	116	11	the	the	DET
cana-1587	116	12	strongest	strong	ADJ
cana-1587	116	13	dependence	dependence	NOUN
cana-1587	116	14	)	)	PUNCT
cana-1587	116	15	such	such	ADJ
cana-1587	116	16	that	that	SCONJ
cana-1587	116	17	t	t	PROPN
cana-1587	116	18	+	+	CCONJ
cana-1587	116	19	k	k	PROPN
cana-1587	116	20	=	=	PUNCT
cana-1587	116	21	s.	s.	PROPN
cana-1587	116	22	the	the	DET
cana-1587	116	23	antecedent	antecedent	NOUN
cana-1587	116	24	state	state	NOUN
cana-1587	116	25	of	of	ADP
cana-1587	116	26	a	a	DET
cana-1587	116	27	correlation	correlation	NOUN
cana-1587	116	28	equivalent	equivalent	ADJ
cana-1587	116	29	to	to	ADP
cana-1587	116	30	zero	zero	NUM
cana-1587	116	31	is	be	AUX
cana-1587	116	32	attained	attain	VERB
cana-1587	116	33	in	in	ADP
cana-1587	116	34	the	the	DET
cana-1587	116	35	event	event	NOUN
cana-1587	116	36	that	that	SCONJ
cana-1587	116	37	...	...	PUNCT
cana-1587	117	1	2𝜌𝑖𝑗(k	2𝜌𝑖𝑗(k	NUM
cana-1587	117	2	)	)	PUNCT
cana-1587	117	3	−	−	PROPN
cana-1587	117	4	𝜌𝑖𝑗(0	𝜌𝑖𝑗(0	NOUN
cana-1587	117	5	)	)	PUNCT
cana-1587	117	6	−	−	ADP
cana-1587	117	7	𝜌𝑖𝑗(2k	𝜌𝑖𝑗(2k	ADJ
cana-1587	117	8	)	)	PUNCT
cana-1587	117	9	=	=	SYM
cana-1587	117	10	0	0	NUM
cana-1587	117	11	alternatively	alternatively	ADV
cana-1587	117	12	,	,	PUNCT
cana-1587	117	13	with	with	ADP
cana-1587	117	14	respect	respect	NOUN
cana-1587	117	15	to	to	ADP
cana-1587	117	16	the	the	DET
cana-1587	117	17	cross	cross	NOUN
cana-1587	117	18	-	-	NOUN
cana-1587	117	19	covariogram	covariogram	NOUN
cana-1587	117	20	,	,	PUNCT
cana-1587	117	21	at	at	ADP
cana-1587	117	22	the	the	DET
cana-1587	117	23	moment	moment	NOUN
cana-1587	117	24	when	when	SCONJ
cana-1587	117	25	2𝐶𝐶𝑖𝑗(k	2𝐶𝐶𝑖𝑗(k	NUM
cana-1587	117	26	)	)	PUNCT
cana-1587	117	27	−	−	PROPN
cana-1587	117	28	𝐶𝐶𝑖𝑗(0	𝐶𝐶𝑖𝑗(0	NOUN
cana-1587	117	29	)	)	PUNCT
cana-1587	117	30	−	−	NOUN
cana-1587	117	31	𝐶𝐶𝑖𝑗(2	𝐶𝐶𝑖𝑗(2	NUM
cana-1587	117	32	k	k	NOUN
cana-1587	117	33	)	)	PUNCT
cana-1587	118	1	=	=	SYM
cana-1587	118	2	0	0	X
cana-1587	118	3	.	.	PUNCT
cana-1587	119	1	(	(	PUNCT
cana-1587	119	2	2	2	X
cana-1587	119	3	)	)	PUNCT
cana-1587	119	4	however	however	ADV
cana-1587	119	5	,	,	PUNCT
cana-1587	119	6	through	through	ADP
cana-1587	119	7	the	the	DET
cana-1587	119	8	application	application	NOUN
cana-1587	119	9	of	of	ADP
cana-1587	119	10	algebraic	algebraic	ADJ
cana-1587	119	11	principles	principle	NOUN
cana-1587	119	12	,	,	PUNCT
cana-1587	119	13	the	the	DET
cana-1587	119	14	cross	cross	NOUN
cana-1587	119	15	-	-	ADJ
cana-1587	119	16	variogram	variogram	NOUN
cana-1587	119	17	can	can	AUX
cana-1587	119	18	be	be	AUX
cana-1587	119	19	elegantly	elegantly	ADV
cana-1587	119	20	expressed	express	VERB
cana-1587	119	21	.	.	PUNCT
cana-1587	120	1	2ξ𝑖𝑗(k	2ξ𝑖𝑗(k	NUM
cana-1587	120	2	)	)	PUNCT
cana-1587	120	3	=	=	SYM
cana-1587	120	4	2[𝐶𝐶𝑖𝑗(0	2[𝐶𝐶𝑖𝑗(0	NOUN
cana-1587	120	5	)	)	PUNCT
cana-1587	120	6	−	−	NOUN
cana-1587	120	7	𝐶𝐶𝑖𝑗(k	𝐶𝐶𝑖𝑗(k	NOUN
cana-1587	120	8	)	)	PUNCT
cana-1587	120	9	]	]	PUNCT
cana-1587	120	10	or	or	CCONJ
cana-1587	120	11	𝐶𝐶𝑖𝑗(k	𝐶𝐶𝑖𝑗(k	X
cana-1587	120	12	)	)	PUNCT
cana-1587	120	13	=	=	SYM
cana-1587	120	14	𝐶𝐶𝑖𝑗(0	𝐶𝐶𝑖𝑗(0	NOUN
cana-1587	120	15	)	)	PUNCT
cana-1587	120	16	−	−	PROPN
cana-1587	121	1	𝛾𝑖𝑗(k	𝛾𝑖𝑗(k	PROPN
cana-1587	121	2	)	)	PUNCT
cana-1587	121	3	subsequently	subsequently	ADV
cana-1587	121	4	,	,	PUNCT
cana-1587	121	5	it	it	PRON
cana-1587	121	6	shall	shall	AUX
cana-1587	121	7	come	come	VERB
cana-1587	121	8	to	to	ADP
cana-1587	121	9	fruition	fruition	NOUN
cana-1587	121	10	.	.	PUNCT
cana-1587	122	1	𝐶𝐶𝑖𝑗(2	𝐶𝐶𝑖𝑗(2	X
cana-1587	123	1	k	k	X
cana-1587	123	2	)	)	PUNCT
cana-1587	123	3	=	=	SYM
cana-1587	123	4	𝐶𝐶𝑖𝑗(0	𝐶𝐶𝑖𝑗(0	NOUN
cana-1587	123	5	)	)	PUNCT
cana-1587	124	1	−	−	PROPN
cana-1587	124	2	ξ𝑖𝑗(2	ξ𝑖𝑗(2	PROPN
cana-1587	124	3	k	k	NOUN
cana-1587	124	4	)	)	PUNCT
cana-1587	124	5	.	.	PUNCT
cana-1587	125	1	substituting	substitute	VERB
cana-1587	125	2	these	these	DET
cana-1587	125	3	numerical	numerical	ADJ
cana-1587	125	4	quantities	quantity	NOUN
cana-1587	125	5	.	.	PUNCT
cana-1587	126	1	cc𝑗(k	cc𝑗(k	VERB
cana-1587	126	2	)	)	PUNCT
cana-1587	126	3	and	and	CCONJ
cana-1587	126	4	cc𝑗(2	cc𝑗(2	PROPN
cana-1587	126	5	k	k	PROPN
cana-1587	126	6	)	)	PUNCT
cana-1587	126	7	in	in	ADP
cana-1587	126	8	(	(	PUNCT
cana-1587	126	9	2	2	NUM
cana-1587	126	10	)	)	PUNCT
cana-1587	126	11	.	.	PUNCT
cana-1587	127	1	we	we	PRON
cana-1587	127	2	acquire	acquire	VERB
cana-1587	127	3	.	.	PUNCT
cana-1587	128	1	2[𝐶𝐶𝑖𝑗(0	2[𝐶𝐶𝑖𝑗(0	NOUN
cana-1587	128	2	)	)	PUNCT
cana-1587	129	1	−	−	PROPN
cana-1587	129	2	ξ𝑖𝑗(k	ξ𝑖𝑗(k	PROPN
cana-1587	129	3	)	)	PUNCT
cana-1587	129	4	]	]	PUNCT
cana-1587	130	1	−	−	PROPN
cana-1587	130	2	𝐶𝐶𝑖𝑗(0	𝐶𝐶𝑖𝑗(0	NOUN
cana-1587	130	3	)	)	PUNCT
cana-1587	130	4	−	−	PUNCT
cana-1587	131	1	[	[	X
cana-1587	131	2	𝐶𝐶𝑖𝑗(0	𝐶𝐶𝑖𝑗(0	NOUN
cana-1587	131	3	)	)	PUNCT
cana-1587	131	4	−	−	NOUN
cana-1587	131	5	ξ𝑖𝑗(2k	ξ𝑖𝑗(2k	NOUN
cana-1587	131	6	)	)	PUNCT
cana-1587	131	7	]	]	PUNCT
cana-1587	132	1	=	=	PUNCT
cana-1587	132	2	0	0	PUNCT
cana-1587	132	3	the	the	DET
cana-1587	132	4	relationship	relationship	NOUN
cana-1587	132	5	or	or	CCONJ
cana-1587	132	6	connection	connection	NOUN
cana-1587	132	7	between	between	ADP
cana-1587	132	8	ω𝑡	ω𝑡	NOUN
cana-1587	132	9	𝑖	𝑖	NOUN
cana-1587	132	10	and	and	CCONJ
cana-1587	132	11	ω𝑠	ω𝑠	NOUN
cana-1587	132	12	𝑑	𝑑	PROPN
cana-1587	132	13	will	will	AUX
cana-1587	132	14	be	be	AUX
cana-1587	132	15	0	0	NUM
cana-1587	132	16	at	at	ADP
cana-1587	132	17	what	what	DET
cana-1587	132	18	point	point	NOUN
cana-1587	132	19	in	in	ADP
cana-1587	132	20	time	time	NOUN
cana-1587	132	21	.	.	PUNCT
cana-1587	133	1	ξ𝑖𝑗(2k	ξ𝑖𝑗(2k	NOUN
cana-1587	133	2	)	)	PUNCT
cana-1587	134	1	=	=	SYM
cana-1587	134	2	2ξ𝑖𝑗j(k	2ξ𝑖𝑗j(k	X
cana-1587	134	3	)	)	PUNCT
cana-1587	134	4	remark	remark	NOUN
cana-1587	134	5	1	1	NUM
cana-1587	134	6	.	.	PUNCT
cana-1587	135	1	if	if	SCONJ
cana-1587	135	2	the	the	DET
cana-1587	135	3	increments	increment	NOUN
cana-1587	135	4	ω𝑡	ω𝑡	NOUN
cana-1587	135	5	𝑖	𝑖	X
cana-1587	136	1	and	and	CCONJ
cana-1587	136	2	ω𝑠	ω𝑠	AUX
cana-1587	136	3	𝑗	𝑗	AUX
cana-1587	136	4	have	have	VERB
cana-1587	136	5	a	a	DET
cana-1587	136	6	joint	joint	ADJ
cana-1587	136	7	cumulative	cumulative	ADJ
cana-1587	136	8	distribution	distribution	NOUN
cana-1587	136	9	function	function	NOUN
cana-1587	136	10	,	,	PUNCT
cana-1587	136	11	it	it	PRON
cana-1587	136	12	is	be	AUX
cana-1587	136	13	assumed	assume	VERB
cana-1587	136	14	that	that	SCONJ
cana-1587	136	15	they	they	PRON
cana-1587	136	16	are	be	AUX
cana-1587	136	17	uncorrelated	uncorrelated	ADJ
cana-1587	136	18	.	.	PUNCT
cana-1587	137	1	κ(1−𝜖)𝑓n1+𝜖𝑓n2	κ(1−𝜖)𝑓n1+𝜖𝑓n2	X
cana-1587	137	2	{	{	PUNCT
cana-1587	137	3	𝑊𝑡	𝑊𝑡	PROPN
cana-1587	137	4	𝑖	𝑖	X
cana-1587	137	5	≤	≤	NOUN
cana-1587	138	1	𝑥	𝑥	PRON
cana-1587	139	1	+	+	NUM
cana-1587	139	2	1	1	NUM
cana-1587	139	3	,	,	PUNCT
cana-1587	139	4	𝑊𝑠	𝑊𝑠	PROPN
cana-1587	139	5	𝑗	𝑗	PRON
cana-1587	139	6	≤	≤	NUM
cana-1587	139	7	𝑦	𝑦	NOUN
cana-1587	139	8	+	+	NOUN
cana-1587	139	9	1	1	NUM
cana-1587	139	10	}	}	PUNCT
cana-1587	139	11	=	=	SYM
cana-1587	139	12	(	(	PUNCT
cana-1587	139	13	1	1	NUM
cana-1587	139	14	−	−	PROPN
cana-1587	139	15	𝜖)κhn1	𝜖)κhn1	PROPN
cana-1587	139	16	{	{	PUNCT
cana-1587	139	17	𝑊𝑡	𝑊𝑡	NOUN
cana-1587	139	18	𝑖	𝑖	X
cana-1587	139	19	≤	≤	NOUN
cana-1587	139	20	𝑥	𝑥	PRON
cana-1587	140	1	+	+	NUM
cana-1587	140	2	1	1	NUM
cana-1587	140	3	,	,	PUNCT
cana-1587	140	4	𝑊𝑠	𝑊𝑠	PROPN
cana-1587	140	5	𝑗	𝑗	PRON
cana-1587	140	6	≤	≤	NUM
cana-1587	140	7	𝑦	𝑦	NOUN
cana-1587	140	8	+	+	NOUN
cana-1587	140	9	1	1	NUM
cana-1587	140	10	}	}	PUNCT
cana-1587	140	11	+	+	ADJ
cana-1587	140	12	𝜖κhn2	𝜖κhn2	NOUN
cana-1587	140	13	{	{	PUNCT
cana-1587	140	14	𝑊𝑡	𝑊𝑡	PROPN
cana-1587	140	15	𝑖	𝑖	X
cana-1587	140	16	≤	≤	NOUN
cana-1587	140	17	𝑥	𝑥	PRON
cana-1587	141	1	+	+	NUM
cana-1587	141	2	1	1	NUM
cana-1587	141	3	,	,	PUNCT
cana-1587	141	4	𝑊𝑠	𝑊𝑠	PROPN
cana-1587	141	5	𝑗	𝑗	PRON
cana-1587	141	6	≤	≤	NUM
cana-1587	141	7	𝑦	𝑦	NOUN
cana-1587	141	8	+	+	NOUN
cana-1587	141	9	1	1	NUM
cana-1587	141	10	}	}	PUNCT
cana-1587	141	11	=	=	SYM
cana-1587	141	12	(	(	PUNCT
cana-1587	141	13	1	1	NUM
cana-1587	141	14	−	−	PROPN
cana-1587	141	15	𝜖)κhn1	𝜖)κhn1	PROPN
cana-1587	141	16	{	{	PUNCT
cana-1587	141	17	𝑊𝑡	𝑊𝑡	NOUN
cana-1587	141	18	𝑖	𝑖	X
cana-1587	141	19	≤	≤	NOUN
cana-1587	141	20	𝑥	𝑥	PRON
cana-1587	142	1	+	+	NUM
cana-1587	142	2	1}κhn1	1}κhn1	NUM
cana-1587	142	3	{	{	PUNCT
cana-1587	142	4	𝑊𝑠	𝑊𝑠	X
cana-1587	142	5	𝑗	𝑗	PRON
cana-1587	142	6	≤	≤	NUM
cana-1587	142	7	𝑦	𝑦	NOUN
cana-1587	142	8	+	+	NOUN
cana-1587	142	9	1	1	NUM
cana-1587	142	10	}	}	PUNCT
cana-1587	142	11	+	+	ADJ
cana-1587	142	12	𝜖κhn2	𝜖κhn2	NOUN
cana-1587	142	13	{	{	PUNCT
cana-1587	142	14	𝑊𝑡	𝑊𝑡	PROPN
cana-1587	142	15	𝑖	𝑖	X
cana-1587	142	16	≤	≤	NUM
cana-1587	143	1	𝑥	𝑥	PRON
cana-1587	144	1	+	+	NUM
cana-1587	144	2	1}κhn2	1}κhn2	NUM
cana-1587	144	3	{	{	PUNCT
cana-1587	144	4	𝑊𝑠	𝑊𝑠	X
cana-1587	144	5	𝑗	𝑗	PRON
cana-1587	144	6	≤	≤	NUM
cana-1587	144	7	𝑦	𝑦	NOUN
cana-1587	144	8	+	+	NOUN
cana-1587	144	9	1	1	NUM
cana-1587	144	10	}	}	PUNCT
cana-1587	144	11	therefore	therefore	ADV
cana-1587	144	12	,	,	PUNCT
cana-1587	144	13	in	in	ADP
cana-1587	144	14	the	the	DET
cana-1587	144	15	event	event	NOUN
cana-1587	144	16	that	that	PRON
cana-1587	144	17	ω𝑡	ω𝑡	VERB
cana-1587	144	18	𝑖	𝑖	X
cana-1587	145	1	and	and	CCONJ
cana-1587	145	2	ω𝑠	ω𝑠	AUX
cana-1587	145	3	𝑗	𝑗	INTJ
cana-1587	145	4	exhibit	exhibit	VERB
cana-1587	145	5	no	no	DET
cana-1587	145	6	correlation	correlation	NOUN
cana-1587	145	7	,	,	PUNCT
cana-1587	145	8	there	there	PRON
cana-1587	145	9	exists	exist	VERB
cana-1587	145	10	a	a	DET
cana-1587	145	11	probability	probability	NOUN
cana-1587	145	12	of	of	ADP
cana-1587	145	13	1	1	NUM
cana-1587	145	14	−	−	NOUN
cana-1587	145	15	𝜖	𝜖	PROPN
cana-1587	145	16	that	that	SCONJ
cana-1587	145	17	they	they	PRON
cana-1587	145	18	are	be	AUX
cana-1587	145	19	independent	independent	ADJ
cana-1587	145	20	according	accord	VERB
cana-1587	145	21	to	to	ADP
cana-1587	145	22	model	model	NOUN
cana-1587	145	23	hn1	hn1	NOUN
cana-1587	145	24	,	,	PUNCT
cana-1587	145	25	while	while	SCONJ
cana-1587	145	26	there	there	PRON
cana-1587	145	27	is	be	VERB
cana-1587	145	28	a	a	DET
cana-1587	145	29	probability	probability	NOUN
cana-1587	145	30	of	of	ADP
cana-1587	145	31	𝜖	𝜖	PROPN
cana-1587	145	32	that	that	SCONJ
cana-1587	145	33	they	they	PRON
cana-1587	145	34	are	be	AUX
cana-1587	145	35	independent	independent	ADJ
cana-1587	145	36	under	under	ADP
cana-1587	145	37	model	model	NOUN
cana-1587	145	38	hn2	hn2	PROPN
cana-1587	145	39	.	.	PUNCT
cana-1587	146	1	consequently	consequently	ADV
cana-1587	146	2	,	,	PUNCT
cana-1587	146	3	these	these	DET
cana-1587	146	4	variables	variable	NOUN
cana-1587	146	5	are	be	AUX
cana-1587	146	6	regarded	regard	VERB
cana-1587	146	7	as	as	ADP
cana-1587	146	8	autonomous	autonomous	ADJ
cana-1587	146	9	if	if	SCONJ
cana-1587	146	10	they	they	PRON
cana-1587	146	11	lack	lack	VERB
cana-1587	146	12	correlation	correlation	NOUN
cana-1587	146	13	in	in	ADP
cana-1587	146	14	accordance	accordance	NOUN
cana-1587	146	15	with	with	ADP
cana-1587	146	16	[	[	X
cana-1587	146	17	4	4	NUM
cana-1587	146	18	]	]	NOUN
cana-1587	146	19	's	's	PART
cana-1587	146	20	notion	notion	NOUN
cana-1587	146	21	.	.	PUNCT
cana-1587	147	1	2.2	2.2	NUM
cana-1587	147	2	.	.	PUNCT
cana-1587	147	3	autonomy	autonomy	NOUN
cana-1587	147	4	of	of	ADP
cana-1587	147	5	the	the	DET
cana-1587	147	6	observations	observation	NOUN
cana-1587	147	7	𝑿𝒔	𝑿𝒔	ADP
cana-1587	147	8	the	the	DET
cana-1587	147	9	estimator	estimator	NOUN
cana-1587	147	10	for	for	ADP
cana-1587	147	11	the	the	DET
cana-1587	147	12	method	method	NOUN
cana-1587	147	13	-	-	PUNCT
cana-1587	147	14	of	of	ADP
cana-1587	147	15	-	-	PUNCT
cana-1587	147	16	moments	moment	NOUN
cana-1587	147	17	,	,	PUNCT
cana-1587	147	18	2ξ𝑖	2ξ𝑖	ADJ
cana-1587	147	19	�	�	PROPN
cana-1587	147	20	̂	̂	VERB
cana-1587	147	21	�	�	PROPN
cana-1587	147	22	(k)was	(k)wa	VERB
cana-1587	147	23	formulated	formulate	VERB
cana-1587	147	24	as	as	ADP
cana-1587	147	25	the	the	DET
cana-1587	147	26	average	average	NOUN
cana-1587	147	27	of	of	ADP
cana-1587	147	28	samples	sample	NOUN
cana-1587	147	29	from	from	ADP
cana-1587	147	30	variables	variable	NOUN
cana-1587	147	31	𝑋𝑙	𝑋𝑙	PROPN
cana-1587	147	32	=	=	PUNCT
cana-1587	147	33	ω𝑠𝑙	ω𝑠𝑙	ADV
cana-1587	147	34	𝑖	𝑖	X
cana-1587	147	35	⋅	⋅	X
cana-1587	147	36	ω𝑠𝑙	ω𝑠𝑙	ADP
cana-1587	147	37	𝑗	𝑗	INTJ
cana-1587	147	38	,	,	PUNCT
cana-1587	147	39	𝑙	𝑙	NOUN
cana-1587	147	40	=	=	SYM
cana-1587	147	41	1	1	NUM
cana-1587	147	42	,	,	PUNCT
cana-1587	147	43	…	…	PUNCT
cana-1587	147	44	,	,	PUNCT
cana-1587	147	45	𝑛.	𝑛.	NOUN
cana-1587	147	46	assuming	assume	VERB
cana-1587	147	47	a	a	DET
cana-1587	147	48	linear	linear	ADJ
cana-1587	147	49	variogram	variogram	NOUN
cana-1587	147	50	for	for	ADP
cana-1587	147	51	both	both	DET
cana-1587	147	52	variables	variable	NOUN
cana-1587	147	53	w𝑖	w𝑖	VERB
cana-1587	147	54	and	and	CCONJ
cana-1587	147	55	w𝑗	w𝑗	VERB
cana-1587	147	56	and	and	CCONJ
cana-1587	147	57	considering	consider	VERB
cana-1587	147	58	only	only	ADV
cana-1587	147	59	two	two	NUM
cana-1587	147	60	of	of	ADP
cana-1587	147	61	them	they	PRON
cana-1587	147	62	,	,	PUNCT
cana-1587	147	63	namely	namely	ADV
cana-1587	147	64	;	;	PUNCT
cana-1587	147	65	𝑋1	𝑋1	PROPN
cana-1587	147	66	=	=	PUNCT
cana-1587	147	67	ω𝑠1	ω𝑠1	NOUN
cana-1587	147	68	𝑖	𝑖	SYM
cana-1587	147	69	⋅	⋅	PROPN
cana-1587	147	70	ω𝑠1	ω𝑠1	PROPN
cana-1587	147	71	𝑗	𝑗	PROPN
cana-1587	147	72	and	and	CCONJ
cana-1587	147	73	𝑋2	𝑋2	VERB
cana-1587	147	74	=	=	PUNCT
cana-1587	147	75	ω𝑠2	ω𝑠2	NOUN
cana-1587	147	76	𝑖	𝑖	X
cana-1587	147	77	⋅	⋅	PROPN
cana-1587	147	78	ω𝑠2	ω𝑠2	NOUN
cana-1587	147	79	𝑗	𝑗	INTJ
cana-1587	147	80	,	,	PUNCT
cana-1587	147	81	it	it	PRON
cana-1587	147	82	has	have	AUX
cana-1587	147	83	been	be	AUX
cana-1587	147	84	established	establish	VERB
cana-1587	147	85	in	in	ADP
cana-1587	147	86	communications	communication	NOUN
cana-1587	147	87	on	on	ADP
cana-1587	147	88	applied	apply	VERB
cana-1587	147	89	nonlinear	nonlinear	ADJ
cana-1587	147	90	analysis	analysis	NOUN
cana-1587	147	91	issn	issn	NOUN
cana-1587	147	92	:	:	PUNCT
cana-1587	147	93	1074	1074	NUM
cana-1587	147	94	-	-	PUNCT
cana-1587	147	95	133x	133x	NUM
cana-1587	147	96	vol	vol	NOUN
cana-1587	147	97	31	31	NUM
cana-1587	147	98	no	no	NOUN
cana-1587	147	99	.	.	PUNCT
cana-1587	148	1	8s	8s	PROPN
cana-1587	148	2	(	(	PUNCT
cana-1587	148	3	2024	2024	NUM
cana-1587	148	4	)	)	PUNCT
cana-1587	148	5	762	762	NUM
cana-1587	148	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-1587	149	1	[	[	X
cana-1587	149	2	5	5	NUM
cana-1587	149	3	]	]	PUNCT
cana-1587	149	4	that	that	PRON
cana-1587	149	5	ω𝑠1	ω𝑠1	PROPN
cana-1587	149	6	𝑖	𝑖	PRON
cana-1587	149	7	will	will	AUX
cana-1587	149	8	be	be	AUX
cana-1587	149	9	independent	independent	ADJ
cana-1587	149	10	of	of	ADP
cana-1587	149	11	ω𝑠2	ω𝑠2	NOUN
cana-1587	149	12	𝑖	𝑖	PUNCT
cana-1587	149	13	while	while	SCONJ
cana-1587	149	14	also	also	ADV
cana-1587	149	15	noting	note	VERB
cana-1587	149	16	that	that	SCONJ
cana-1587	149	17	ω𝑠1	ω𝑠1	NOUN
cana-1587	149	18	𝑗	𝑗	INTJ
cana-1587	149	19	is	be	AUX
cana-1587	149	20	independent	independent	ADJ
cana-1587	149	21	of	of	ADP
cana-1587	149	22	ω𝑠2	ω𝑠2	NOUN
cana-1587	149	23	𝑗	𝑗	INTJ
cana-1587	149	24	,	,	PUNCT
cana-1587	149	25	where	where	SCONJ
cana-1587	149	26	𝑙	𝑙	PROPN
cana-1587	149	27	ranges	range	VERB
cana-1587	149	28	from	from	ADP
cana-1587	149	29	one	one	NUM
cana-1587	149	30	to	to	PART
cana-1587	149	31	n.	n.	VERB
cana-1587	149	32	moreover	moreover	ADV
cana-1587	149	33	,	,	PUNCT
cana-1587	149	34	if	if	SCONJ
cana-1587	149	35	we	we	PRON
cana-1587	149	36	can	can	AUX
cana-1587	149	37	embrace	embrace	VERB
cana-1587	149	38	a	a	DET
cana-1587	149	39	linear	linear	ADJ
cana-1587	149	40	cross	cross	NOUN
cana-1587	149	41	-	-	NOUN
cana-1587	149	42	variogram	variogram	NOUN
cana-1587	149	43	for	for	ADP
cana-1587	149	44	the	the	DET
cana-1587	149	45	pair	pair	NOUN
cana-1587	149	46	of	of	ADP
cana-1587	149	47	variables	variable	NOUN
cana-1587	149	48	(	(	PUNCT
cana-1587	149	49	w𝑖	w𝑖	INTJ
cana-1587	149	50	,	,	PUNCT
cana-1587	149	51	w𝑗	w𝑗	NOUN
cana-1587	149	52	)	)	PUNCT
cana-1587	149	53	,	,	PUNCT
cana-1587	149	54	then	then	ADV
cana-1587	149	55	the	the	DET
cana-1587	149	56	variables	variable	NOUN
cana-1587	149	57	ω𝑠1	ω𝑠1	NOUN
cana-1587	149	58	𝑖	𝑖	NOUN
cana-1587	149	59	and	and	CCONJ
cana-1587	149	60	ω𝑠2	ω𝑠2	NOUN
cana-1587	149	61	𝑖	𝑖	X
cana-1587	149	62	,	,	PUNCT
cana-1587	149	63	as	as	ADV
cana-1587	149	64	well	well	ADV
cana-1587	149	65	as	as	ADP
cana-1587	149	66	ω𝑠1	ω𝑠1	PROPN
cana-1587	149	67	𝑗	𝑗	NOUN
cana-1587	149	68	and	and	CCONJ
cana-1587	149	69	ω𝑠2	ω𝑠2	NOUN
cana-1587	149	70	𝑗	𝑗	INTJ
cana-1587	149	71	will	will	AUX
cana-1587	149	72	be	be	AUX
cana-1587	149	73	mutually	mutually	ADV
cana-1587	149	74	exclusive	exclusive	ADJ
cana-1587	149	75	.	.	PUNCT
cana-1587	150	1	in	in	ADP
cana-1587	150	2	conclusion	conclusion	NOUN
cana-1587	150	3	,	,	PUNCT
cana-1587	150	4	assuming	assume	VERB
cana-1587	150	5	a	a	DET
cana-1587	150	6	linear	linear	ADJ
cana-1587	150	7	variogram	variogram	NOUN
cana-1587	150	8	for	for	ADP
cana-1587	150	9	both	both	CCONJ
cana-1587	150	10	variable	variable	ADJ
cana-1587	150	11	w𝑖	w𝑖	NOUN
cana-1587	150	12	and	and	CCONJ
cana-1587	150	13	variable	variable	NOUN
cana-1587	150	14	w𝑗as	w𝑗a	VERB
cana-1587	150	15	well	well	ADV
cana-1587	150	16	as	as	ADP
cana-1587	150	17	a	a	DET
cana-1587	150	18	linear	linear	ADJ
cana-1587	150	19	cross	cross	NOUN
cana-1587	150	20	-	-	NOUN
cana-1587	150	21	variogram	variogram	NOUN
cana-1587	150	22	given	give	VERB
cana-1587	150	23	the	the	DET
cana-1587	150	24	pair	pair	NOUN
cana-1587	150	25	,	,	PUNCT
cana-1587	150	26	the	the	DET
cana-1587	150	27	parameters	parameter	NOUN
cana-1587	150	28	𝑋𝑙	𝑋𝑙	PROPN
cana-1587	150	29	=	=	SYM
cana-1587	150	30	𝑊𝑠𝑙	𝑊𝑠𝑙	X
cana-1587	150	31	𝑖	𝑖	PUNCT
cana-1587	150	32	⋅	⋅	PROPN
cana-1587	150	33	𝑊𝑠𝑙	𝑊𝑠𝑙	PROPN
cana-1587	150	34	𝑗	𝑗	NOUN
cana-1587	150	35	of	of	ADP
cana-1587	151	1	𝑙	𝑙	DET
cana-1587	151	2	values	value	NOUN
cana-1587	151	3	from	from	ADP
cana-1587	151	4	1	1	NUM
cana-1587	151	5	to	to	ADP
cana-1587	151	6	𝑛	𝑛	PROPN
cana-1587	151	7	could	could	AUX
cana-1587	151	8	be	be	AUX
cana-1587	151	9	deemed	deem	VERB
cana-1587	151	10	independent	independent	ADJ
cana-1587	151	11	.	.	PUNCT
cana-1587	152	1	this	this	DET
cana-1587	152	2	assumption	assumption	NOUN
cana-1587	152	3	is	be	AUX
cana-1587	152	4	made	make	VERB
cana-1587	152	5	in	in	ADP
cana-1587	152	6	our	our	PRON
cana-1587	152	7	paper	paper	NOUN
cana-1587	152	8	and	and	CCONJ
cana-1587	152	9	will	will	AUX
cana-1587	152	10	be	be	AUX
cana-1587	152	11	revisited	revisit	VERB
cana-1587	152	12	later	later	ADV
cana-1587	152	13	.	.	PUNCT
cana-1587	153	1	3	3	X
cana-1587	153	2	.	.	X
cana-1587	153	3	enhancing	enhance	VERB
cana-1587	153	4	cross	cross	ADJ
cana-1587	153	5	-	-	ADJ
cana-1587	153	6	variogram	variogram	ADJ
cana-1587	153	7	nestimates	nestimate	NOUN
cana-1587	153	8	3.1	3.1	NUM
cana-1587	153	9	.	.	PUNCT
cana-1587	154	1	the	the	DET
cana-1587	154	2	methodology	methodology	NOUN
cana-1587	154	3	the	the	DET
cana-1587	154	4	paper	paper	NOUN
cana-1587	154	5	introduces	introduce	VERB
cana-1587	154	6	novel	novel	NOUN
cana-1587	154	7	and	and	CCONJ
cana-1587	154	8	robust	robust	ADJ
cana-1587	154	9	estimators	estimator	NOUN
cana-1587	154	10	for	for	ADP
cana-1587	154	11	cross	cross	NOUN
cana-1587	154	12	-	-	NOUN
cana-1587	154	13	variograms	variogram	NOUN
cana-1587	154	14	,	,	PUNCT
cana-1587	154	15	which	which	PRON
cana-1587	154	16	are	be	AUX
cana-1587	154	17	grounded	ground	VERB
cana-1587	154	18	in	in	ADP
cana-1587	154	19	a	a	DET
cana-1587	154	20	strong	strong	ADJ
cana-1587	154	21	theoretical	theoretical	ADJ
cana-1587	154	22	framework	framework	NOUN
cana-1587	154	23	.	.	PUNCT
cana-1587	155	1	the	the	DET
cana-1587	155	2	methodology	methodology	NOUN
cana-1587	155	3	relies	rely	VERB
cana-1587	155	4	on	on	ADP
cana-1587	155	5	several	several	ADJ
cana-1587	155	6	important	important	ADJ
cana-1587	155	7	assumptions	assumption	NOUN
cana-1587	155	8	that	that	PRON
cana-1587	155	9	form	form	VERB
cana-1587	155	10	the	the	DET
cana-1587	155	11	basis	basis	NOUN
cana-1587	155	12	for	for	ADP
cana-1587	155	13	its	its	PRON
cana-1587	155	14	application	application	NOUN
cana-1587	155	15	and	and	CCONJ
cana-1587	155	16	have	have	VERB
cana-1587	155	17	significant	significant	ADJ
cana-1587	155	18	implications	implication	NOUN
cana-1587	155	19	.	.	PUNCT
cana-1587	156	1	we	we	PRON
cana-1587	156	2	,	,	PUNCT
cana-1587	156	3	right	right	ADV
cana-1587	156	4	off	off	ADP
cana-1587	156	5	the	the	DET
cana-1587	156	6	bat	bat	NOUN
cana-1587	156	7	,	,	PUNCT
cana-1587	156	8	assume	assume	VERB
cana-1587	156	9	that	that	SCONJ
cana-1587	156	10	the	the	DET
cana-1587	156	11	spatial	spatial	ADJ
cana-1587	156	12	interaction	interaction	NOUN
cana-1587	156	13	being	be	AUX
cana-1587	156	14	contemplated	contemplate	VERB
cana-1587	156	15	,	,	PUNCT
cana-1587	156	16	signified	signify	VERB
cana-1587	156	17	as	as	ADP
cana-1587	156	18	z(s	z(s	PROPN
cana-1587	156	19	)	)	PUNCT
cana-1587	156	20	,	,	PUNCT
cana-1587	156	21	comprises	comprise	NOUN
cana-1587	156	22	of	of	ADP
cana-1587	156	23	p	p	X
cana-1587	156	24	random	random	ADJ
cana-1587	156	25	parts	part	NOUN
cana-1587	156	26	that	that	PRON
cana-1587	156	27	display	display	VERB
cana-1587	156	28	isotropic	isotropic	NOUN
cana-1587	156	29	second	second	ADJ
cana-1587	156	30	-	-	PUNCT
cana-1587	156	31	order	order	NOUN
cana-1587	156	32	stationarity	stationarity	NOUN
cana-1587	156	33	.	.	PUNCT
cana-1587	157	1	this	this	DET
cana-1587	157	2	assumption	assumption	NOUN
cana-1587	157	3	suggests	suggest	VERB
cana-1587	157	4	that	that	SCONJ
cana-1587	157	5	the	the	DET
cana-1587	157	6	statistical	statistical	ADJ
cana-1587	157	7	properties	property	NOUN
cana-1587	157	8	of	of	ADP
cana-1587	157	9	the	the	DET
cana-1587	157	10	cycle	cycle	NOUN
cana-1587	157	11	,	,	PUNCT
cana-1587	157	12	like	like	ADP
cana-1587	157	13	mean	mean	NOUN
cana-1587	157	14	and	and	CCONJ
cana-1587	157	15	variance	variance	NOUN
cana-1587	157	16	,	,	PUNCT
cana-1587	157	17	remain	remain	VERB
cana-1587	157	18	constant	constant	ADJ
cana-1587	157	19	across	across	ADP
cana-1587	157	20	space	space	NOUN
cana-1587	157	21	.	.	PUNCT
cana-1587	158	1	it	it	PRON
cana-1587	158	2	also	also	ADV
cana-1587	158	3	proposes	propose	VERB
cana-1587	158	4	that	that	SCONJ
cana-1587	158	5	the	the	DET
cana-1587	158	6	correlation	correlation	NOUN
cana-1587	158	7	structure	structure	NOUN
cana-1587	158	8	between	between	ADP
cana-1587	158	9	various	various	ADJ
cana-1587	158	10	parts	part	NOUN
cana-1587	158	11	is	be	AUX
cana-1587	158	12	stationary	stationary	ADJ
cana-1587	158	13	,	,	PUNCT
cana-1587	158	14	allowing	allow	VERB
cana-1587	158	15	for	for	ADP
cana-1587	158	16	reliable	reliable	ADJ
cana-1587	158	17	estimation	estimation	NOUN
cana-1587	158	18	of	of	ADP
cana-1587	158	19	their	their	PRON
cana-1587	158	20	association	association	NOUN
cana-1587	158	21	.	.	PUNCT
cana-1587	159	1	besides	besides	SCONJ
cana-1587	159	2	,	,	PUNCT
cana-1587	159	3	our	our	PRON
cana-1587	159	4	approach	approach	NOUN
cana-1587	159	5	depends	depend	VERB
cana-1587	159	6	on	on	ADP
cana-1587	159	7	variograms	variogram	NOUN
cana-1587	159	8	as	as	ADP
cana-1587	159	9	a	a	DET
cana-1587	159	10	means	means	NOUN
cana-1587	159	11	to	to	PART
cana-1587	159	12	measure	measure	VERB
cana-1587	159	13	spatial	spatial	ADJ
cana-1587	159	14	reliance	reliance	NOUN
cana-1587	159	15	.	.	PUNCT
cana-1587	160	1	variograms	variogram	NOUN
cana-1587	160	2	capture	capture	VERB
cana-1587	160	3	the	the	DET
cana-1587	160	4	spatial	spatial	ADJ
cana-1587	160	5	autocorrelation	autocorrelation	NOUN
cana-1587	160	6	of	of	ADP
cana-1587	160	7	the	the	DET
cana-1587	160	8	cycle	cycle	NOUN
cana-1587	160	9	and	and	CCONJ
cana-1587	160	10	give	give	VERB
cana-1587	160	11	valuable	valuable	ADJ
cana-1587	160	12	information	information	NOUN
cana-1587	160	13	to	to	ADP
cana-1587	160	14	understanding	understand	VERB
cana-1587	160	15	its	its	PRON
cana-1587	160	16	behavior	behavior	NOUN
cana-1587	160	17	.	.	PUNCT
cana-1587	161	1	by	by	ADP
cana-1587	161	2	using	use	VERB
cana-1587	161	3	variograms	variogram	NOUN
cana-1587	161	4	,	,	PUNCT
cana-1587	161	5	we	we	PRON
cana-1587	161	6	can	can	AUX
cana-1587	161	7	quantitatively	quantitatively	ADV
cana-1587	161	8	analyze	analyze	VERB
cana-1587	161	9	the	the	DET
cana-1587	161	10	strength	strength	NOUN
cana-1587	161	11	and	and	CCONJ
cana-1587	161	12	directionality	directionality	NOUN
cana-1587	161	13	of	of	ADP
cana-1587	161	14	spatial	spatial	ADJ
cana-1587	161	15	relationships	relationship	NOUN
cana-1587	161	16	between	between	ADP
cana-1587	161	17	various	various	ADJ
cana-1587	161	18	parts	part	NOUN
cana-1587	161	19	of	of	ADP
cana-1587	161	20	z(s	z(s	PROPN
cana-1587	161	21	)	)	PUNCT
cana-1587	161	22	.	.	PUNCT
cana-1587	162	1	moreover	moreover	ADV
cana-1587	162	2	,	,	PUNCT
cana-1587	162	3	it	it	PRON
cana-1587	162	4	is	be	AUX
cana-1587	162	5	conceivable	conceivable	ADJ
cana-1587	162	6	that	that	SCONJ
cana-1587	162	7	the	the	DET
cana-1587	162	8	components	component	NOUN
cana-1587	162	9	of	of	ADP
cana-1587	162	10	z(s	z(s	PROPN
cana-1587	162	11	)	)	PUNCT
cana-1587	162	12	are	be	AUX
cana-1587	162	13	associated	associate	VERB
cana-1587	162	14	,	,	PUNCT
cana-1587	162	15	as	as	SCONJ
cana-1587	162	16	we	we	PRON
cana-1587	162	17	have	have	AUX
cana-1587	162	18	assumed	assume	VERB
cana-1587	162	19	.	.	PUNCT
cana-1587	163	1	the	the	DET
cana-1587	163	2	advancement	advancement	NOUN
cana-1587	163	3	of	of	ADP
cana-1587	163	4	our	our	PRON
cana-1587	163	5	vigorous	vigorous	ADJ
cana-1587	163	6	cross	cross	ADJ
cana-1587	163	7	-	-	ADJ
cana-1587	163	8	variogram	variogram	ADJ
cana-1587	163	9	estimators	estimator	NOUN
cana-1587	163	10	depends	depend	VERB
cana-1587	163	11	on	on	ADP
cana-1587	163	12	this	this	DET
cana-1587	163	13	reason	reason	NOUN
cana-1587	163	14	,	,	PUNCT
cana-1587	163	15	which	which	PRON
cana-1587	163	16	perceives	perceive	VERB
cana-1587	163	17	that	that	PRON
cana-1587	163	18	part	part	NOUN
cana-1587	163	19	-	-	PUNCT
cana-1587	163	20	to	to	ADP
cana-1587	163	21	-	-	PUNCT
cana-1587	163	22	part	part	NOUN
cana-1587	163	23	availability	availability	NOUN
cana-1587	163	24	can	can	AUX
cana-1587	163	25	further	far	ADV
cana-1587	163	26	develop	develop	VERB
cana-1587	163	27	the	the	DET
cana-1587	163	28	information	information	NOUN
cana-1587	163	29	available	available	ADJ
cana-1587	163	30	for	for	ADP
cana-1587	163	31	estimate	estimate	NOUN
cana-1587	163	32	.	.	PUNCT
cana-1587	164	1	by	by	ADP
cana-1587	164	2	using	use	VERB
cana-1587	164	3	this	this	DET
cana-1587	164	4	association	association	NOUN
cana-1587	164	5	,	,	PUNCT
cana-1587	164	6	we	we	PRON
cana-1587	164	7	can	can	AUX
cana-1587	164	8	work	work	VERB
cana-1587	164	9	on	on	ADP
cana-1587	164	10	the	the	DET
cana-1587	164	11	estimators	estimator	NOUN
cana-1587	164	12	'	'	PART
cana-1587	164	13	accuracy	accuracy	NOUN
cana-1587	164	14	.	.	PUNCT
cana-1587	165	1	the	the	DET
cana-1587	165	2	significance	significance	NOUN
cana-1587	165	3	of	of	ADP
cana-1587	165	4	these	these	DET
cana-1587	165	5	assumptions	assumption	NOUN
cana-1587	165	6	can	can	AUX
cana-1587	165	7	not	not	PART
cana-1587	165	8	be	be	AUX
cana-1587	165	9	overstated	overstate	VERB
cana-1587	165	10	.	.	PUNCT
cana-1587	166	1	with	with	ADP
cana-1587	166	2	regards	regard	NOUN
cana-1587	166	3	to	to	ADP
cana-1587	166	4	spatial	spatial	ADJ
cana-1587	166	5	reliance	reliance	NOUN
cana-1587	166	6	,	,	PUNCT
cana-1587	166	7	they	they	PRON
cana-1587	166	8	allow	allow	VERB
cana-1587	166	9	us	we	PRON
cana-1587	166	10	to	to	PART
cana-1587	166	11	tackle	tackle	VERB
cana-1587	166	12	the	the	DET
cana-1587	166	13	issue	issue	NOUN
cana-1587	166	14	of	of	ADP
cana-1587	166	15	exact	exact	ADJ
cana-1587	166	16	cross	cross	NOUN
cana-1587	166	17	-	-	ADJ
cana-1587	166	18	variogram	variogram	ADJ
cana-1587	166	19	and	and	CCONJ
cana-1587	166	20	associated	associated	ADJ
cana-1587	166	21	appropriation	appropriation	NOUN
cana-1587	166	22	estimation	estimation	NOUN
cana-1587	166	23	.	.	PUNCT
cana-1587	167	1	we	we	PRON
cana-1587	167	2	track	track	VERB
cana-1587	167	3	down	down	ADP
cana-1587	167	4	that	that	DET
cana-1587	167	5	estimators	estimator	NOUN
cana-1587	167	6	that	that	SCONJ
cana-1587	167	7	emphasis	emphasis	NOUN
cana-1587	167	8	on	on	ADP
cana-1587	167	9	location	location	NOUN
cana-1587	167	10	estimation	estimation	NOUN
cana-1587	167	11	instead	instead	ADV
cana-1587	167	12	of	of	ADP
cana-1587	167	13	scale	scale	NOUN
cana-1587	167	14	estimation	estimation	NOUN
cana-1587	167	15	are	be	AUX
cana-1587	167	16	better	well	ADJ
cana-1587	167	17	able	able	ADJ
cana-1587	167	18	to	to	PART
cana-1587	167	19	withstand	withstand	VERB
cana-1587	167	20	data	datum	NOUN
cana-1587	167	21	anomalies	anomaly	NOUN
cana-1587	167	22	and	and	CCONJ
cana-1587	167	23	special	special	ADJ
cana-1587	167	24	cases	case	NOUN
cana-1587	167	25	.	.	PUNCT
cana-1587	168	1	data	datum	NOUN
cana-1587	168	2	displaying	display	VERB
cana-1587	168	3	spatial	spatial	ADJ
cana-1587	168	4	heterogeneity	heterogeneity	NOUN
cana-1587	168	5	and	and	CCONJ
cana-1587	168	6	non	non	ADJ
cana-1587	168	7	-	-	ADJ
cana-1587	168	8	normality	normality	NOUN
cana-1587	168	9	are	be	AUX
cana-1587	168	10	oftentimes	oftentime	NOUN
cana-1587	168	11	experienced	experience	VERB
cana-1587	168	12	in	in	ADP
cana-1587	168	13	spatial	spatial	ADJ
cana-1587	168	14	analysis	analysis	NOUN
cana-1587	168	15	,	,	PUNCT
cana-1587	168	16	making	make	VERB
cana-1587	168	17	this	this	DET
cana-1587	168	18	feature	feature	NOUN
cana-1587	168	19	all	all	DET
cana-1587	168	20	the	the	DET
cana-1587	168	21	more	more	ADV
cana-1587	168	22	significant	significant	ADJ
cana-1587	168	23	.	.	PUNCT
cana-1587	169	1	moreover	moreover	ADV
cana-1587	169	2	,	,	PUNCT
cana-1587	169	3	we	we	PRON
cana-1587	169	4	infer	infer	VERB
cana-1587	169	5	exact	exact	ADJ
cana-1587	169	6	estimates	estimate	NOUN
cana-1587	169	7	for	for	ADP
cana-1587	169	8	the	the	DET
cana-1587	169	9	estimators	estimator	NOUN
cana-1587	169	10	'	'	PART
cana-1587	169	11	sample	sample	NOUN
cana-1587	169	12	distributions	distribution	NOUN
cana-1587	169	13	through	through	ADP
cana-1587	169	14	saddle	saddle	NOUN
cana-1587	169	15	point	point	NOUN
cana-1587	169	16	techniques	technique	NOUN
cana-1587	169	17	and	and	CCONJ
cana-1587	169	18	a	a	DET
cana-1587	169	19	multivariate	multivariate	NOUN
cana-1587	169	20	scale	scale	NOUN
cana-1587	169	21	-	-	PUNCT
cana-1587	169	22	contaminated	contaminate	VERB
cana-1587	169	23	normal	normal	ADJ
cana-1587	169	24	model	model	NOUN
cana-1587	169	25	.	.	PUNCT
cana-1587	170	1	these	these	DET
cana-1587	170	2	approximations	approximation	NOUN
cana-1587	170	3	allow	allow	VERB
cana-1587	170	4	for	for	ADP
cana-1587	170	5	trustworthy	trustworthy	ADJ
cana-1587	170	6	testing	testing	NOUN
cana-1587	170	7	of	of	ADP
cana-1587	170	8	speculation	speculation	NOUN
cana-1587	170	9	and	and	CCONJ
cana-1587	170	10	derivation	derivation	NOUN
cana-1587	170	11	and	and	CCONJ
cana-1587	170	12	give	give	VERB
cana-1587	170	13	helpful	helpful	ADJ
cana-1587	170	14	bits	bit	NOUN
cana-1587	170	15	of	of	ADP
cana-1587	170	16	knowledge	knowledge	NOUN
cana-1587	170	17	into	into	ADP
cana-1587	170	18	the	the	DET
cana-1587	170	19	estimators	estimator	NOUN
cana-1587	170	20	'	'	PART
cana-1587	170	21	behavior	behavior	NOUN
cana-1587	170	22	.	.	PUNCT
cana-1587	171	1	perceiving	perceive	VERB
cana-1587	171	2	the	the	DET
cana-1587	171	3	assumptions	assumption	NOUN
cana-1587	171	4	and	and	CCONJ
cana-1587	171	5	limitations	limitation	NOUN
cana-1587	171	6	of	of	ADP
cana-1587	171	7	our	our	PRON
cana-1587	171	8	method	method	NOUN
cana-1587	171	9	is	be	AUX
cana-1587	171	10	crucial	crucial	ADJ
cana-1587	171	11	.	.	PUNCT
cana-1587	172	1	the	the	DET
cana-1587	172	2	estimators	estimator	NOUN
cana-1587	172	3	'	'	PART
cana-1587	172	4	performance	performance	NOUN
cana-1587	172	5	can	can	AUX
cana-1587	172	6	be	be	AUX
cana-1587	172	7	affected	affect	VERB
cana-1587	172	8	by	by	ADP
cana-1587	172	9	deviations	deviation	NOUN
cana-1587	172	10	from	from	ADP
cana-1587	172	11	the	the	DET
cana-1587	172	12	assumption	assumption	NOUN
cana-1587	172	13	of	of	ADP
cana-1587	172	14	isotropic	isotropic	ADJ
cana-1587	172	15	second	second	ADJ
cana-1587	172	16	-	-	PUNCT
cana-1587	172	17	order	order	NOUN
cana-1587	172	18	stationarity	stationarity	NOUN
cana-1587	172	19	,	,	PUNCT
cana-1587	172	20	which	which	PRON
cana-1587	172	21	may	may	AUX
cana-1587	172	22	not	not	PART
cana-1587	172	23	communications	communication	VERB
cana-1587	172	24	on	on	ADP
cana-1587	172	25	applied	apply	VERB
cana-1587	172	26	nonlinear	nonlinear	ADJ
cana-1587	172	27	analysis	analysis	NOUN
cana-1587	172	28	issn	issn	NOUN
cana-1587	172	29	:	:	PUNCT
cana-1587	172	30	1074	1074	NUM
cana-1587	172	31	-	-	PUNCT
cana-1587	172	32	133x	133x	NUM
cana-1587	172	33	vol	vol	NOUN
cana-1587	172	34	31	31	NUM
cana-1587	172	35	no	no	NOUN
cana-1587	172	36	.	.	PUNCT
cana-1587	173	1	8s	8s	PROPN
cana-1587	173	2	(	(	PUNCT
cana-1587	173	3	2024	2024	NUM
cana-1587	173	4	)	)	PUNCT
cana-1587	173	5	763	763	NUM
cana-1587	173	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-1587	173	7	be	be	AUX
cana-1587	173	8	valid	valid	ADJ
cana-1587	173	9	for	for	ADP
cana-1587	173	10	all	all	DET
cana-1587	173	11	spatial	spatial	ADJ
cana-1587	173	12	cycles	cycle	NOUN
cana-1587	173	13	.	.	PUNCT
cana-1587	174	1	furthermore	furthermore	ADV
cana-1587	174	2	,	,	PUNCT
cana-1587	174	3	estimators	estimator	NOUN
cana-1587	174	4	'	'	PART
cana-1587	174	5	viability	viability	NOUN
cana-1587	174	6	relies	rely	VERB
cana-1587	174	7	upon	upon	SCONJ
cana-1587	174	8	accurate	accurate	ADJ
cana-1587	174	9	variogram	variogram	NOUN
cana-1587	174	10	estimation	estimation	NOUN
cana-1587	174	11	,	,	PUNCT
cana-1587	174	12	which	which	PRON
cana-1587	174	13	may	may	AUX
cana-1587	174	14	be	be	AUX
cana-1587	174	15	troublesome	troublesome	ADJ
cana-1587	174	16	in	in	ADP
cana-1587	174	17	practice	practice	NOUN
cana-1587	174	18	because	because	SCONJ
cana-1587	174	19	of	of	ADP
cana-1587	174	20	data	datum	NOUN
cana-1587	174	21	scarcity	scarcity	NOUN
cana-1587	174	22	or	or	CCONJ
cana-1587	174	23	poor	poor	ADJ
cana-1587	174	24	data	datum	NOUN
cana-1587	174	25	quality	quality	NOUN
cana-1587	174	26	.	.	PUNCT
cana-1587	175	1	overall	overall	ADV
cana-1587	175	2	,	,	PUNCT
cana-1587	175	3	our	our	PRON
cana-1587	175	4	suggested	suggest	VERB
cana-1587	175	5	technique	technique	NOUN
cana-1587	175	6	expands	expand	VERB
cana-1587	175	7	areas	area	NOUN
cana-1587	175	8	of	of	ADP
cana-1587	175	9	strength	strength	NOUN
cana-1587	175	10	for	for	ADP
cana-1587	175	11	on	on	ADP
cana-1587	175	12	of	of	ADP
cana-1587	175	13	the	the	DET
cana-1587	175	14	current	current	ADJ
cana-1587	175	15	framework	framework	NOUN
cana-1587	175	16	,	,	PUNCT
cana-1587	175	17	which	which	PRON
cana-1587	175	18	incorporates	incorporate	VERB
cana-1587	175	19	assumptions	assumption	NOUN
cana-1587	175	20	about	about	ADP
cana-1587	175	21	isotropic	isotropic	ADJ
cana-1587	175	22	second	second	ADJ
cana-1587	175	23	-	-	PUNCT
cana-1587	175	24	order	order	NOUN
cana-1587	175	25	stationarity	stationarity	NOUN
cana-1587	175	26	,	,	PUNCT
cana-1587	175	27	variograms	variogram	NOUN
cana-1587	175	28	,	,	PUNCT
cana-1587	175	29	and	and	CCONJ
cana-1587	175	30	between	between	ADP
cana-1587	175	31	part	part	NOUN
cana-1587	175	32	correlation	correlation	NOUN
cana-1587	175	33	.	.	PUNCT
cana-1587	176	1	together	together	ADV
cana-1587	176	2	,	,	PUNCT
cana-1587	176	3	these	these	DET
cana-1587	176	4	assumptions	assumption	NOUN
cana-1587	176	5	,	,	PUNCT
cana-1587	176	6	saddle	saddle	NOUN
cana-1587	176	7	point	point	NOUN
cana-1587	176	8	approaches	approach	NOUN
cana-1587	176	9	,	,	PUNCT
cana-1587	176	10	and	and	CCONJ
cana-1587	176	11	a	a	DET
cana-1587	176	12	multivariate	multivariate	NOUN
cana-1587	176	13	scalecontaminated	scalecontaminate	VERB
cana-1587	176	14	normal	normal	ADJ
cana-1587	176	15	model	model	NOUN
cana-1587	176	16	allow	allow	VERB
cana-1587	176	17	for	for	ADP
cana-1587	176	18	the	the	DET
cana-1587	176	19	improvement	improvement	NOUN
cana-1587	176	20	of	of	ADP
cana-1587	176	21	vigorous	vigorous	ADJ
cana-1587	176	22	cross	cross	ADJ
cana-1587	176	23	-	-	ADJ
cana-1587	176	24	variogram	variogram	ADJ
cana-1587	176	25	estimators	estimator	NOUN
cana-1587	176	26	that	that	PRON
cana-1587	176	27	tackle	tackle	VERB
cana-1587	176	28	spatial	spatial	ADJ
cana-1587	176	29	reliance	reliance	NOUN
cana-1587	176	30	and	and	CCONJ
cana-1587	176	31	give	give	VERB
cana-1587	176	32	trustworthy	trustworthy	ADJ
cana-1587	176	33	derivation	derivation	NOUN
cana-1587	176	34	in	in	ADP
cana-1587	176	35	multivariate	multivariate	NOUN
cana-1587	176	36	spatial	spatial	ADJ
cana-1587	176	37	cycles	cycle	NOUN
cana-1587	176	38	.	.	PUNCT
cana-1587	177	1	here	here	ADV
cana-1587	177	2	is	be	AUX
cana-1587	177	3	a	a	DET
cana-1587	177	4	detailed	detailed	ADJ
cana-1587	177	5	,	,	PUNCT
cana-1587	177	6	thorough	thorough	ADJ
cana-1587	177	7	explanation	explanation	NOUN
cana-1587	177	8	of	of	ADP
cana-1587	177	9	how	how	SCONJ
cana-1587	177	10	saddle	saddle	NOUN
cana-1587	177	11	point	point	NOUN
cana-1587	177	12	techniques	technique	VERB
cana-1587	177	13	work	work	NOUN
cana-1587	177	14	and	and	CCONJ
cana-1587	177	15	how	how	SCONJ
cana-1587	177	16	they	they	PRON
cana-1587	177	17	can	can	AUX
cana-1587	177	18	assist	assist	VERB
cana-1587	177	19	you	you	PRON
cana-1587	177	20	with	with	ADP
cana-1587	177	21	drawing	draw	VERB
cana-1587	177	22	near	near	ADJ
cana-1587	177	23	estimates	estimate	NOUN
cana-1587	177	24	for	for	ADP
cana-1587	177	25	your	your	PRON
cana-1587	177	26	sample	sample	NOUN
cana-1587	177	27	distributions	distribution	NOUN
cana-1587	177	28	:	:	PUNCT
cana-1587	177	29	to	to	PART
cana-1587	177	30	find	find	VERB
cana-1587	177	31	exact	exact	ADJ
cana-1587	177	32	approximations	approximation	NOUN
cana-1587	177	33	for	for	ADP
cana-1587	177	34	sample	sample	NOUN
cana-1587	177	35	distributions	distribution	NOUN
cana-1587	177	36	,	,	PUNCT
cana-1587	177	37	this	this	DET
cana-1587	177	38	strategy	strategy	NOUN
cana-1587	177	39	utilizes	utilize	VERB
cana-1587	177	40	a	a	DET
cana-1587	177	41	methodical	methodical	ADJ
cana-1587	177	42	approach	approach	NOUN
cana-1587	177	43	that	that	PRON
cana-1587	177	44	incorporates	incorporate	VERB
cana-1587	177	45	saddle	saddle	NOUN
cana-1587	177	46	point	point	NOUN
cana-1587	177	47	approaches	approach	NOUN
cana-1587	177	48	.	.	PUNCT
cana-1587	178	1	because	because	SCONJ
cana-1587	178	2	they	they	PRON
cana-1587	178	3	give	give	VERB
cana-1587	178	4	a	a	DET
cana-1587	178	5	strong	strong	ADJ
cana-1587	178	6	mathematical	mathematical	ADJ
cana-1587	178	7	basis	basis	NOUN
cana-1587	178	8	to	to	ADP
cana-1587	178	9	approximating	approximate	VERB
cana-1587	178	10	complex	complex	ADJ
cana-1587	178	11	integrals	integral	NOUN
cana-1587	178	12	,	,	PUNCT
cana-1587	178	13	saddle	saddle	NOUN
cana-1587	178	14	point	point	NOUN
cana-1587	178	15	techniques	technique	NOUN
cana-1587	178	16	should	should	AUX
cana-1587	178	17	be	be	AUX
cana-1587	178	18	incorporated	incorporate	VERB
cana-1587	178	19	.	.	PUNCT
cana-1587	179	1	these	these	DET
cana-1587	179	2	methods	method	NOUN
cana-1587	179	3	make	make	VERB
cana-1587	179	4	utilization	utilization	NOUN
cana-1587	179	5	of	of	ADP
cana-1587	179	6	the	the	DET
cana-1587	179	7	features	feature	NOUN
cana-1587	179	8	of	of	ADP
cana-1587	179	9	huge	huge	ADJ
cana-1587	179	10	deviations	deviation	NOUN
cana-1587	179	11	and	and	CCONJ
cana-1587	179	12	asymptotic	asymptotic	ADJ
cana-1587	179	13	behavior	behavior	NOUN
cana-1587	179	14	to	to	PART
cana-1587	179	15	allow	allow	VERB
cana-1587	179	16	for	for	ADP
cana-1587	179	17	exact	exact	ADJ
cana-1587	179	18	approximations	approximation	NOUN
cana-1587	179	19	in	in	ADP
cana-1587	179	20	cases	case	NOUN
cana-1587	179	21	where	where	SCONJ
cana-1587	179	22	it	it	PRON
cana-1587	179	23	is	be	AUX
cana-1587	179	24	hard	hard	ADJ
cana-1587	179	25	to	to	PART
cana-1587	179	26	evaluate	evaluate	VERB
cana-1587	179	27	integrals	integral	NOUN
cana-1587	179	28	straightforwardly	straightforwardly	ADV
cana-1587	179	29	.	.	PUNCT
cana-1587	180	1	a	a	DET
cana-1587	180	2	powerful	powerful	ADJ
cana-1587	180	3	cross	cross	ADJ
cana-1587	180	4	-	-	ADJ
cana-1587	180	5	variogram	variogram	ADJ
cana-1587	180	6	estimator	estimator	NOUN
cana-1587	180	7	is	be	AUX
cana-1587	180	8	the	the	DET
cana-1587	180	9	most	most	ADV
cana-1587	180	10	important	important	ADJ
cana-1587	180	11	phase	phase	NOUN
cana-1587	180	12	in	in	ADP
cana-1587	180	13	working	work	VERB
cana-1587	180	14	on	on	ADP
cana-1587	180	15	the	the	DET
cana-1587	180	16	methodology	methodology	NOUN
cana-1587	180	17	;	;	PUNCT
cana-1587	180	18	its	its	PRON
cana-1587	180	19	goal	goal	NOUN
cana-1587	180	20	is	be	AUX
cana-1587	180	21	to	to	PART
cana-1587	180	22	capture	capture	VERB
cana-1587	180	23	the	the	DET
cana-1587	180	24	interplay	interplay	NOUN
cana-1587	180	25	between	between	ADP
cana-1587	180	26	the	the	DET
cana-1587	180	27	various	various	ADJ
cana-1587	180	28	components	component	NOUN
cana-1587	180	29	of	of	ADP
cana-1587	180	30	the	the	DET
cana-1587	180	31	spatial	spatial	ADJ
cana-1587	180	32	cycle	cycle	NOUN
cana-1587	180	33	being	be	AUX
cana-1587	180	34	scrutinized	scrutinize	VERB
cana-1587	180	35	.	.	PUNCT
cana-1587	181	1	the	the	DET
cana-1587	181	2	data	datum	NOUN
cana-1587	181	3	's	's	PART
cana-1587	181	4	properties	property	NOUN
cana-1587	181	5	and	and	CCONJ
cana-1587	181	6	the	the	DET
cana-1587	181	7	research	research	NOUN
cana-1587	181	8	's	's	PART
cana-1587	181	9	aims	aim	NOUN
cana-1587	181	10	dictate	dictate	VERB
cana-1587	181	11	the	the	DET
cana-1587	181	12	particular	particular	ADJ
cana-1587	181	13	estimator	estimator	NOUN
cana-1587	181	14	formulation	formulation	NOUN
cana-1587	181	15	.	.	PUNCT
cana-1587	182	1	the	the	DET
cana-1587	182	2	way	way	NOUN
cana-1587	182	3	of	of	ADP
cana-1587	182	4	thinking	thinking	NOUN
cana-1587	182	5	makes	make	VERB
cana-1587	182	6	utilization	utilization	NOUN
cana-1587	182	7	of	of	ADP
cana-1587	182	8	a	a	DET
cana-1587	182	9	multivariate	multivariate	NOUN
cana-1587	182	10	scale	scale	NOUN
cana-1587	182	11	-	-	PUNCT
cana-1587	182	12	contaminated	contaminate	VERB
cana-1587	182	13	normal	normal	ADJ
cana-1587	182	14	model	model	NOUN
cana-1587	182	15	to	to	PART
cana-1587	182	16	portray	portray	VERB
cana-1587	182	17	the	the	DET
cana-1587	182	18	data	datum	NOUN
cana-1587	182	19	's	's	PART
cana-1587	182	20	distributional	distributional	ADJ
cana-1587	182	21	properties	property	NOUN
cana-1587	182	22	.	.	PUNCT
cana-1587	183	1	this	this	DET
cana-1587	183	2	model	model	NOUN
cana-1587	183	3	thinks	think	VERB
cana-1587	183	4	about	about	ADP
cana-1587	183	5	anomalies	anomaly	NOUN
cana-1587	183	6	and	and	CCONJ
cana-1587	183	7	irregularities	irregularity	NOUN
cana-1587	183	8	in	in	ADP
cana-1587	183	9	the	the	DET
cana-1587	183	10	data	datum	NOUN
cana-1587	183	11	,	,	PUNCT
cana-1587	183	12	which	which	PRON
cana-1587	183	13	is	be	AUX
cana-1587	183	14	especially	especially	ADV
cana-1587	183	15	important	important	ADJ
cana-1587	183	16	for	for	ADP
cana-1587	183	17	geographical	geographical	ADJ
cana-1587	183	18	analysis	analysis	NOUN
cana-1587	183	19	.	.	PUNCT
cana-1587	184	1	the	the	DET
cana-1587	184	2	multivariate	multivariate	NOUN
cana-1587	184	3	scale	scale	NOUN
cana-1587	184	4	-	-	PUNCT
cana-1587	184	5	contaminated	contaminate	VERB
cana-1587	184	6	normal	normal	ADJ
cana-1587	184	7	model	model	NOUN
cana-1587	184	8	is	be	AUX
cana-1587	184	9	utilized	utilize	VERB
cana-1587	184	10	to	to	PART
cana-1587	184	11	decide	decide	VERB
cana-1587	184	12	the	the	DET
cana-1587	184	13	probability	probability	NOUN
cana-1587	184	14	function	function	NOUN
cana-1587	184	15	,	,	PUNCT
cana-1587	184	16	which	which	PRON
cana-1587	184	17	deals	deal	VERB
cana-1587	184	18	with	with	ADP
cana-1587	184	19	the	the	DET
cana-1587	184	20	probability	probability	NOUN
cana-1587	184	21	of	of	ADP
cana-1587	184	22	seeing	see	VERB
cana-1587	184	23	the	the	DET
cana-1587	184	24	data	datum	NOUN
cana-1587	184	25	given	give	VERB
cana-1587	184	26	a	a	DET
cana-1587	184	27	bunch	bunch	NOUN
cana-1587	184	28	of	of	ADP
cana-1587	184	29	parameters	parameter	NOUN
cana-1587	184	30	.	.	PUNCT
cana-1587	185	1	at	at	ADP
cana-1587	185	2	this	this	DET
cana-1587	185	3	stage	stage	NOUN
cana-1587	185	4	,	,	PUNCT
cana-1587	185	5	the	the	DET
cana-1587	185	6	probability	probability	NOUN
cana-1587	185	7	function	function	NOUN
cana-1587	185	8	takes	take	VERB
cana-1587	185	9	into	into	ADP
cana-1587	185	10	account	account	NOUN
cana-1587	185	11	important	important	ADJ
cana-1587	185	12	statistical	statistical	ADJ
cana-1587	185	13	assumptions	assumption	NOUN
cana-1587	185	14	,	,	PUNCT
cana-1587	185	15	for	for	ADP
cana-1587	185	16	example	example	NOUN
cana-1587	185	17	,	,	PUNCT
cana-1587	185	18	part	part	NOUN
cana-1587	185	19	-	-	PUNCT
cana-1587	185	20	to	to	ADP
cana-1587	185	21	-	-	PUNCT
cana-1587	185	22	part	part	NOUN
cana-1587	185	23	correlation	correlation	NOUN
cana-1587	185	24	and	and	CCONJ
cana-1587	185	25	isotropic	isotropic	ADJ
cana-1587	185	26	second	second	ADJ
cana-1587	185	27	-	-	PUNCT
cana-1587	185	28	order	order	NOUN
cana-1587	185	29	stationarity	stationarity	NOUN
cana-1587	185	30	.	.	PUNCT
cana-1587	185	31	approximating	approximate	VERB
cana-1587	185	32	the	the	DET
cana-1587	185	33	integral	integral	ADJ
cana-1587	185	34	associated	associate	VERB
cana-1587	185	35	with	with	ADP
cana-1587	185	36	the	the	DET
cana-1587	185	37	probability	probability	NOUN
cana-1587	185	38	function	function	NOUN
cana-1587	185	39	is	be	AUX
cana-1587	185	40	finished	finish	VERB
cana-1587	185	41	utilizing	utilize	VERB
cana-1587	185	42	saddle	saddle	NOUN
cana-1587	185	43	point	point	NOUN
cana-1587	185	44	approaches	approach	NOUN
cana-1587	185	45	along	along	ADP
cana-1587	185	46	these	these	DET
cana-1587	185	47	lines	line	NOUN
cana-1587	185	48	.	.	PUNCT
cana-1587	186	1	the	the	DET
cana-1587	186	2	saddle	saddle	NOUN
cana-1587	186	3	point	point	NOUN
cana-1587	186	4	,	,	PUNCT
cana-1587	186	5	a	a	DET
cana-1587	186	6	profoundly	profoundly	ADV
cana-1587	186	7	concentrated	concentrated	ADJ
cana-1587	186	8	district	district	NOUN
cana-1587	186	9	of	of	ADP
cana-1587	186	10	the	the	DET
cana-1587	186	11	integrand	integrand	NOUN
cana-1587	186	12	on	on	ADP
cana-1587	186	13	the	the	DET
cana-1587	186	14	confounding	confound	VERB
cana-1587	186	15	plane	plane	NOUN
cana-1587	186	16	,	,	PUNCT
cana-1587	186	17	should	should	AUX
cana-1587	186	18	be	be	AUX
cana-1587	186	19	distinguished	distinguish	VERB
cana-1587	186	20	.	.	PUNCT
cana-1587	187	1	the	the	DET
cana-1587	187	2	integral	integral	ADJ
cana-1587	187	3	is	be	AUX
cana-1587	187	4	streamlined	streamline	VERB
cana-1587	187	5	to	to	ADP
cana-1587	187	6	a	a	DET
cana-1587	187	7	tractable	tractable	ADJ
cana-1587	187	8	form	form	NOUN
cana-1587	187	9	by	by	ADP
cana-1587	187	10	utilizing	utilize	VERB
cana-1587	187	11	the	the	DET
cana-1587	187	12	saddle	saddle	NOUN
cana-1587	187	13	point	point	NOUN
cana-1587	187	14	approximation	approximation	NOUN
cana-1587	187	15	.	.	PUNCT
cana-1587	188	1	a	a	DET
cana-1587	188	2	comparison	comparison	NOUN
cana-1587	188	3	with	with	ADP
cana-1587	188	4	the	the	DET
cana-1587	188	5	real	real	ADJ
cana-1587	188	6	transportation	transportation	NOUN
cana-1587	188	7	,	,	PUNCT
cana-1587	188	8	which	which	PRON
cana-1587	188	9	may	may	AUX
cana-1587	188	10	be	be	AUX
cana-1587	188	11	achieved	achieve	VERB
cana-1587	188	12	by	by	ADP
cana-1587	188	13	many	many	ADJ
cana-1587	188	14	methods	method	NOUN
cana-1587	188	15	like	like	ADP
cana-1587	188	16	as	as	ADP
cana-1587	188	17	numerical	numerical	ADJ
cana-1587	188	18	integration	integration	NOUN
cana-1587	188	19	techniques	technique	NOUN
cana-1587	188	20	or	or	CCONJ
cana-1587	188	21	monte	monte	PROPN
cana-1587	188	22	carlo	carlo	PROPN
cana-1587	188	23	simulations	simulation	NOUN
cana-1587	188	24	,	,	PUNCT
cana-1587	188	25	is	be	AUX
cana-1587	188	26	utilized	utilize	VERB
cana-1587	188	27	to	to	PART
cana-1587	188	28	evaluate	evaluate	VERB
cana-1587	188	29	the	the	DET
cana-1587	188	30	correctness	correctness	NOUN
cana-1587	188	31	of	of	ADP
cana-1587	188	32	the	the	DET
cana-1587	188	33	saddle	saddle	NOUN
cana-1587	188	34	point	point	NOUN
cana-1587	188	35	approximation	approximation	NOUN
cana-1587	188	36	.	.	PUNCT
cana-1587	189	1	this	this	DET
cana-1587	189	2	test	test	NOUN
cana-1587	189	3	guarantees	guarantee	VERB
cana-1587	189	4	that	that	SCONJ
cana-1587	189	5	the	the	DET
cana-1587	189	6	approximation	approximation	NOUN
cana-1587	189	7	works	work	VERB
cana-1587	189	8	really	really	ADV
cana-1587	189	9	hard	hard	ADV
cana-1587	189	10	of	of	ADP
cana-1587	189	11	capturing	capture	VERB
cana-1587	189	12	the	the	DET
cana-1587	189	13	important	important	ADJ
cana-1587	189	14	features	feature	NOUN
cana-1587	189	15	of	of	ADP
cana-1587	189	16	the	the	DET
cana-1587	189	17	appropriation	appropriation	NOUN
cana-1587	189	18	.	.	PUNCT
cana-1587	190	1	the	the	DET
cana-1587	190	2	estimated	estimate	VERB
cana-1587	190	3	sample	sample	NOUN
cana-1587	190	4	appropriation	appropriation	NOUN
cana-1587	190	5	is	be	AUX
cana-1587	190	6	thereafter	thereafter	ADV
cana-1587	190	7	put	put	VERB
cana-1587	190	8	to	to	PART
cana-1587	190	9	use	use	VERB
cana-1587	190	10	for	for	ADP
cana-1587	190	11	evaluating	evaluate	VERB
cana-1587	190	12	speculations	speculation	NOUN
cana-1587	190	13	and	and	CCONJ
cana-1587	190	14	assumptions	assumption	NOUN
cana-1587	190	15	.	.	PUNCT
cana-1587	191	1	parameter	parameter	PROPN
cana-1587	191	2	estimation	estimation	PROPN
cana-1587	191	3	,	,	PUNCT
cana-1587	191	4	speculation	speculation	NOUN
cana-1587	191	5	testing	testing	NOUN
cana-1587	191	6	,	,	PUNCT
cana-1587	191	7	and	and	CCONJ
cana-1587	191	8	the	the	DET
cana-1587	191	9	development	development	NOUN
cana-1587	191	10	of	of	ADP
cana-1587	191	11	certainty	certainty	NOUN
cana-1587	191	12	intervals	interval	NOUN
cana-1587	191	13	are	be	AUX
cana-1587	191	14	all	all	PRON
cana-1587	191	15	part	part	NOUN
cana-1587	191	16	of	of	ADP
cana-1587	191	17	this	this	PRON
cana-1587	191	18	.	.	PUNCT
cana-1587	192	1	regardless	regardless	ADV
cana-1587	192	2	of	of	ADP
cana-1587	192	3	spatial	spatial	ADJ
cana-1587	192	4	reliance	reliance	NOUN
cana-1587	192	5	and	and	CCONJ
cana-1587	192	6	special	special	ADJ
cana-1587	192	7	cases	case	NOUN
cana-1587	192	8	,	,	PUNCT
cana-1587	192	9	dependable	dependable	ADJ
cana-1587	192	10	gathering	gathering	NOUN
cana-1587	192	11	is	be	AUX
cana-1587	192	12	made	make	VERB
cana-1587	192	13	conceivable	conceivable	ADJ
cana-1587	192	14	by	by	ADP
cana-1587	192	15	the	the	DET
cana-1587	192	16	exact	exact	ADJ
cana-1587	192	17	approximations	approximation	NOUN
cana-1587	192	18	inferred	infer	VERB
cana-1587	192	19	by	by	ADP
cana-1587	192	20	saddle	saddle	NOUN
cana-1587	192	21	point	point	NOUN
cana-1587	192	22	approaches	approach	NOUN
cana-1587	192	23	.	.	PUNCT
cana-1587	193	1	all	all	ADV
cana-1587	193	2	in	in	ADP
cana-1587	193	3	all	all	PRON
cana-1587	193	4	,	,	PUNCT
cana-1587	193	5	this	this	DET
cana-1587	193	6	strategy	strategy	NOUN
cana-1587	193	7	obtains	obtain	VERB
cana-1587	193	8	exact	exact	ADJ
cana-1587	193	9	estimates	estimate	NOUN
cana-1587	193	10	for	for	ADP
cana-1587	193	11	distributions	distribution	NOUN
cana-1587	193	12	of	of	ADP
cana-1587	193	13	samples	sample	NOUN
cana-1587	193	14	by	by	ADP
cana-1587	193	15	utilizing	utilize	VERB
cana-1587	193	16	saddle	saddle	NOUN
cana-1587	193	17	point	point	NOUN
cana-1587	193	18	approaches	approach	NOUN
cana-1587	193	19	.	.	PUNCT
cana-1587	194	1	these	these	DET
cana-1587	194	2	methods	method	NOUN
cana-1587	194	3	improve	improve	VERB
cana-1587	194	4	on	on	ADP
cana-1587	194	5	integrals	integral	NOUN
cana-1587	194	6	that	that	PRON
cana-1587	194	7	interact	interact	VERB
cana-1587	194	8	with	with	ADP
cana-1587	194	9	the	the	DET
cana-1587	194	10	probability	probability	NOUN
cana-1587	194	11	function	function	NOUN
cana-1587	194	12	,	,	PUNCT
cana-1587	194	13	leading	lead	VERB
cana-1587	194	14	to	to	ADP
cana-1587	194	15	communications	communication	NOUN
cana-1587	194	16	on	on	ADP
cana-1587	194	17	applied	apply	VERB
cana-1587	194	18	nonlinear	nonlinear	ADJ
cana-1587	194	19	analysis	analysis	NOUN
cana-1587	194	20	issn	issn	NOUN
cana-1587	194	21	:	:	PUNCT
cana-1587	194	22	1074	1074	NUM
cana-1587	194	23	-	-	PUNCT
cana-1587	194	24	133x	133x	NUM
cana-1587	194	25	vol	vol	NOUN
cana-1587	194	26	31	31	NUM
cana-1587	194	27	no	no	NOUN
cana-1587	194	28	.	.	PUNCT
cana-1587	195	1	8s	8s	PROPN
cana-1587	195	2	(	(	PUNCT
cana-1587	195	3	2024	2024	NUM
cana-1587	195	4	)	)	PUNCT
cana-1587	195	5	764	764	NUM
cana-1587	195	6	https://internationalpubls.com	https://internationalpubls.com	NUM
cana-1587	195	7	tractable	tractable	ADJ
cana-1587	195	8	articulations	articulation	NOUN
cana-1587	195	9	that	that	PRON
cana-1587	195	10	portray	portray	VERB
cana-1587	195	11	the	the	DET
cana-1587	195	12	dissemination	dissemination	NOUN
cana-1587	195	13	's	's	PART
cana-1587	195	14	essential	essential	ADJ
cana-1587	195	15	properties	property	NOUN
cana-1587	195	16	with	with	ADP
cana-1587	195	17	high	high	ADJ
cana-1587	195	18	accuracy	accuracy	NOUN
cana-1587	195	19	.	.	PUNCT
cana-1587	196	1	the	the	DET
cana-1587	196	2	suggested	suggest	VERB
cana-1587	196	3	estimators	estimator	NOUN
cana-1587	196	4	are	be	AUX
cana-1587	196	5	more	more	ADV
cana-1587	196	6	reliable	reliable	ADJ
cana-1587	196	7	when	when	SCONJ
cana-1587	196	8	spatial	spatial	ADJ
cana-1587	196	9	reliance	reliance	NOUN
cana-1587	196	10	and	and	CCONJ
cana-1587	196	11	anomalies	anomaly	NOUN
cana-1587	196	12	are	be	AUX
cana-1587	196	13	given	give	VERB
cana-1587	196	14	,	,	PUNCT
cana-1587	196	15	and	and	CCONJ
cana-1587	196	16	the	the	DET
cana-1587	196	17	exact	exact	ADJ
cana-1587	196	18	approximations	approximation	NOUN
cana-1587	196	19	allow	allow	VERB
cana-1587	196	20	powerful	powerful	ADJ
cana-1587	196	21	inferring	inferring	NOUN
cana-1587	196	22	and	and	CCONJ
cana-1587	196	23	speculation	speculation	NOUN
cana-1587	196	24	testing	testing	NOUN
cana-1587	196	25	.	.	PUNCT
cana-1587	197	1	an	an	DET
cana-1587	197	2	example	example	NOUN
cana-1587	197	3	of	of	ADP
cana-1587	197	4	a	a	DET
cana-1587	197	5	statistical	statistical	ADJ
cana-1587	197	6	circulation	circulation	NOUN
cana-1587	197	7	that	that	PRON
cana-1587	197	8	looks	look	VERB
cana-1587	197	9	like	like	ADP
cana-1587	197	10	a	a	DET
cana-1587	197	11	gaussian	gaussian	ADJ
cana-1587	197	12	conveyance	conveyance	NOUN
cana-1587	197	13	however	however	ADV
cana-1587	197	14	has	have	VERB
cana-1587	197	15	thicker	thick	ADJ
cana-1587	197	16	tails	tail	NOUN
cana-1587	197	17	is	be	AUX
cana-1587	197	18	the	the	DET
cana-1587	197	19	multivariate	multivariate	NOUN
cana-1587	197	20	scale	scale	NOUN
cana-1587	197	21	-	-	PUNCT
cana-1587	197	22	contaminated	contaminate	VERB
cana-1587	197	23	normal	normal	ADJ
cana-1587	197	24	model	model	NOUN
cana-1587	197	25	suggested	suggest	VERB
cana-1587	197	26	in	in	ADP
cana-1587	197	27	the	the	DET
cana-1587	197	28	paper	paper	NOUN
cana-1587	197	29	.	.	PUNCT
cana-1587	198	1	its	its	PRON
cana-1587	198	2	pdf	pdf	NOUN
cana-1587	198	3	,	,	PUNCT
cana-1587	198	4	or	or	CCONJ
cana-1587	198	5	probability	probability	NOUN
cana-1587	198	6	density	density	NOUN
cana-1587	198	7	function	function	NOUN
cana-1587	198	8	,	,	PUNCT
cana-1587	198	9	is	be	AUX
cana-1587	198	10	characterized	characterize	VERB
cana-1587	198	11	by	by	ADP
cana-1587	198	12	the	the	DET
cana-1587	198	13	association	association	NOUN
cana-1587	198	14	of	of	ADP
cana-1587	198	15	two	two	NUM
cana-1587	198	16	terms	term	NOUN
cana-1587	198	17	:	:	PUNCT
cana-1587	198	18	ℎ(𝑀)(𝑤	ℎ(𝑀)(𝑤	PROPN
cana-1587	198	19	)	)	PUNCT
cana-1587	198	20	=	=	PUNCT
cana-1587	199	1	(	(	PUNCT
cana-1587	199	2	1	1	NUM
cana-1587	199	3	−	−	NOUN
cana-1587	199	4	𝜖)ℎ(𝑁)(𝑤	𝜖)ℎ(𝑁)(𝑤	X
cana-1587	199	5	;	;	PUNCT
cana-1587	199	6	𝜇	𝜇	X
cana-1587	199	7	,	,	PUNCT
cana-1587	199	8	𝛴	𝛴	PROPN
cana-1587	199	9	)	)	PUNCT
cana-1587	199	10	+	+	CCONJ
cana-1587	199	11	𝜖ℎ(𝑁)(𝑤	𝜖ℎ(𝑁)(𝑤	NOUN
cana-1587	199	12	;	;	PUNCT
cana-1587	199	13	𝜇	𝜇	X
cana-1587	199	14	,	,	PUNCT
cana-1587	199	15	𝑔²𝛴	𝑔²𝛴	NOUN
cana-1587	199	16	)	)	PUNCT
cana-1587	199	17	(	(	PUNCT
cana-1587	199	18	3	3	X
cana-1587	199	19	)	)	PUNCT
cana-1587	199	20	in	in	ADP
cana-1587	199	21	this	this	DET
cana-1587	199	22	formula	formula	NOUN
cana-1587	199	23	,	,	PUNCT
cana-1587	199	24	𝜖	𝜖	X
cana-1587	199	25	addresses	address	VERB
cana-1587	199	26	the	the	DET
cana-1587	199	27	contamination	contamination	NOUN
cana-1587	199	28	rate	rate	NOUN
cana-1587	199	29	and	and	CCONJ
cana-1587	199	30	is	be	AUX
cana-1587	199	31	utilized	utilize	VERB
cana-1587	199	32	to	to	PART
cana-1587	199	33	address	address	VERB
cana-1587	199	34	the	the	DET
cana-1587	199	35	scaling	scale	VERB
cana-1587	199	36	factor	factor	NOUN
cana-1587	199	37	.	.	PUNCT
cana-1587	200	1	g²	g²	NOUN
cana-1587	200	2	.	.	PUNCT
cana-1587	201	1	you	you	PRON
cana-1587	201	2	ca	can	AUX
cana-1587	201	3	n't	not	PART
cana-1587	201	4	change	change	VERB
cana-1587	201	5	the	the	DET
cana-1587	201	6	model	model	NOUN
cana-1587	201	7	's	's	PART
cana-1587	201	8	behavior	behavior	NOUN
cana-1587	201	9	or	or	CCONJ
cana-1587	201	10	its	its	PRON
cana-1587	201	11	attributes	attribute	NOUN
cana-1587	201	12	without	without	ADP
cana-1587	201	13	adjusting	adjust	VERB
cana-1587	201	14	these	these	DET
cana-1587	201	15	parameters	parameter	NOUN
cana-1587	201	16	.	.	PUNCT
cana-1587	202	1	an	an	DET
cana-1587	202	2	anomalous	anomalous	ADJ
cana-1587	202	3	or	or	CCONJ
cana-1587	202	4	deviant	deviant	ADJ
cana-1587	202	5	data	datum	NOUN
cana-1587	202	6	point	point	NOUN
cana-1587	202	7	still	still	ADV
cana-1587	202	8	up	up	ADV
cana-1587	202	9	in	in	ADP
cana-1587	202	10	the	the	DET
cana-1587	202	11	air	air	NOUN
cana-1587	202	12	by	by	ADP
cana-1587	202	13	the	the	DET
cana-1587	202	14	contamination	contamination	NOUN
cana-1587	202	15	rate	rate	NOUN
cana-1587	202	16	(	(	PUNCT
cana-1587	202	17	ϵ	ϵ	NOUN
cana-1587	202	18	)	)	PUNCT
cana-1587	202	19	in	in	ADP
cana-1587	202	20	the	the	DET
cana-1587	202	21	gathered	gather	VERB
cana-1587	202	22	sample	sample	NOUN
cana-1587	202	23	.	.	PUNCT
cana-1587	203	1	a	a	DET
cana-1587	203	2	greater	great	ADJ
cana-1587	203	3	percentage	percentage	NOUN
cana-1587	203	4	of	of	ADP
cana-1587	203	5	the	the	DET
cana-1587	203	6	data	datum	NOUN
cana-1587	203	7	is	be	AUX
cana-1587	203	8	affected	affect	VERB
cana-1587	203	9	by	by	ADP
cana-1587	203	10	exemptions	exemption	NOUN
cana-1587	203	11	when	when	SCONJ
cana-1587	203	12	the	the	DET
cana-1587	203	13	value	value	NOUN
cana-1587	203	14	of	of	ADP
cana-1587	203	15	ϵ	ϵ	PROPN
cana-1587	203	16	is	be	AUX
cana-1587	203	17	higher	high	ADJ
cana-1587	203	18	,	,	PUNCT
cana-1587	203	19	proposing	propose	VERB
cana-1587	203	20	a	a	DET
cana-1587	203	21	more	more	ADV
cana-1587	203	22	elevated	elevated	ADJ
cana-1587	203	23	level	level	NOUN
cana-1587	203	24	of	of	ADP
cana-1587	203	25	contamination	contamination	NOUN
cana-1587	203	26	.	.	PUNCT
cana-1587	204	1	the	the	DET
cana-1587	204	2	opposite	opposite	NOUN
cana-1587	204	3	is	be	AUX
cana-1587	204	4	also	also	ADV
cana-1587	204	5	evident	evident	ADJ
cana-1587	204	6	:	:	PUNCT
cana-1587	204	7	a	a	DET
cana-1587	204	8	cleaner	clean	ADJ
cana-1587	204	9	dataset	dataset	NOUN
cana-1587	204	10	is	be	AUX
cana-1587	204	11	indicated	indicate	VERB
cana-1587	204	12	by	by	ADP
cana-1587	204	13	a	a	DET
cana-1587	204	14	lower	low	ADJ
cana-1587	204	15	ϵ	ϵ	NOUN
cana-1587	204	16	value	value	NOUN
cana-1587	204	17	,	,	PUNCT
cana-1587	204	18	which	which	PRON
cana-1587	204	19	proposes	propose	VERB
cana-1587	204	20	a	a	DET
cana-1587	204	21	lower	low	ADJ
cana-1587	204	22	contamination	contamination	NOUN
cana-1587	204	23	rate	rate	NOUN
cana-1587	204	24	.	.	PUNCT
cana-1587	205	1	the	the	DET
cana-1587	205	2	data	datum	NOUN
cana-1587	205	3	's	's	PART
cana-1587	205	4	nature	nature	NOUN
cana-1587	205	5	and	and	CCONJ
cana-1587	205	6	the	the	DET
cana-1587	205	7	particular	particular	ADJ
cana-1587	205	8	application	application	NOUN
cana-1587	205	9	decide	decide	VERB
cana-1587	205	10	the	the	DET
cana-1587	205	11	value	value	NOUN
cana-1587	205	12	of	of	ADP
cana-1587	205	13	ό	ό	NOUN
cana-1587	205	14	.	.	PUNCT
cana-1587	206	1	datasets	dataset	NOUN
cana-1587	206	2	with	with	ADP
cana-1587	206	3	a	a	DET
cana-1587	206	4	high	high	ADJ
cana-1587	206	5	known	know	VERB
cana-1587	206	6	exemption	exemption	NOUN
cana-1587	206	7	presence	presence	NOUN
cana-1587	206	8	may	may	AUX
cana-1587	206	9	profit	profit	VERB
cana-1587	206	10	from	from	ADP
cana-1587	206	11	a	a	DET
cana-1587	206	12	higher	high	ADJ
cana-1587	206	13	contamination	contamination	NOUN
cana-1587	206	14	rate	rate	NOUN
cana-1587	206	15	,	,	PUNCT
cana-1587	206	16	while	while	SCONJ
cana-1587	206	17	cleaner	clean	ADJ
cana-1587	206	18	datasets	dataset	NOUN
cana-1587	206	19	may	may	AUX
cana-1587	206	20	improve	improve	VERB
cana-1587	206	21	a	a	DET
cana-1587	206	22	lower	low	ADJ
cana-1587	206	23	contamination	contamination	NOUN
cana-1587	206	24	rate	rate	NOUN
cana-1587	206	25	.	.	PUNCT
cana-1587	207	1	the	the	DET
cana-1587	207	2	scattering	scattering	NOUN
cana-1587	207	3	's	's	PART
cana-1587	207	4	tail	tail	NOUN
cana-1587	207	5	heaviness	heaviness	NOUN
cana-1587	207	6	relative	relative	ADJ
cana-1587	207	7	to	to	ADP
cana-1587	207	8	a	a	DET
cana-1587	207	9	regular	regular	ADJ
cana-1587	207	10	gaussian	gaussian	ADJ
cana-1587	207	11	dissemination	dissemination	NOUN
cana-1587	207	12	is	be	AUX
cana-1587	207	13	constrained	constrain	VERB
cana-1587	207	14	by	by	ADP
cana-1587	207	15	the	the	DET
cana-1587	207	16	scaling	scale	VERB
cana-1587	207	17	factor	factor	NOUN
cana-1587	207	18	(	(	PUNCT
cana-1587	207	19	g²	g²	NOUN
cana-1587	207	20	)	)	PUNCT
cana-1587	207	21	.	.	PUNCT
cana-1587	208	1	when	when	SCONJ
cana-1587	208	2	g²	g²	NOUN
cana-1587	208	3	is	be	AUX
cana-1587	208	4	larger	large	ADJ
cana-1587	208	5	than	than	ADP
cana-1587	208	6	1	1	NUM
cana-1587	208	7	,	,	PUNCT
cana-1587	208	8	the	the	DET
cana-1587	208	9	tails	tail	NOUN
cana-1587	208	10	get	get	VERB
cana-1587	208	11	heavier	heavy	ADJ
cana-1587	208	12	and	and	CCONJ
cana-1587	208	13	the	the	DET
cana-1587	208	14	circulation	circulation	NOUN
cana-1587	208	15	displays	display	VERB
cana-1587	208	16	more	more	ADV
cana-1587	208	17	pronouncedly	pronouncedly	ADV
cana-1587	208	18	outrageous	outrageous	ADJ
cana-1587	208	19	values	value	NOUN
cana-1587	208	20	.	.	PUNCT
cana-1587	209	1	because	because	SCONJ
cana-1587	209	2	strange	strange	ADJ
cana-1587	209	3	values	value	NOUN
cana-1587	209	4	happen	happen	VERB
cana-1587	209	5	more	more	ADV
cana-1587	209	6	often	often	ADV
cana-1587	209	7	in	in	ADP
cana-1587	209	8	real	real	ADJ
cana-1587	209	9	-	-	PUNCT
cana-1587	209	10	world	world	NOUN
cana-1587	209	11	data	datum	NOUN
cana-1587	209	12	than	than	SCONJ
cana-1587	209	13	would	would	AUX
cana-1587	209	14	be	be	AUX
cana-1587	209	15	normal	normal	ADJ
cana-1587	209	16	under	under	ADP
cana-1587	209	17	a	a	DET
cana-1587	209	18	gaussian	gaussian	ADJ
cana-1587	209	19	assumption	assumption	NOUN
cana-1587	209	20	,	,	PUNCT
cana-1587	209	21	this	this	DET
cana-1587	209	22	parameter	parameter	NOUN
cana-1587	209	23	allows	allow	VERB
cana-1587	209	24	the	the	DET
cana-1587	209	25	model	model	NOUN
cana-1587	209	26	to	to	PART
cana-1587	209	27	capture	capture	VERB
cana-1587	209	28	heavytailed	heavytailed	ADJ
cana-1587	209	29	behavior	behavior	NOUN
cana-1587	209	30	.	.	PUNCT
cana-1587	210	1	the	the	DET
cana-1587	210	2	data	datum	NOUN
cana-1587	210	3	's	's	PART
cana-1587	210	4	exceptional	exceptional	ADJ
cana-1587	210	5	properties	property	NOUN
cana-1587	210	6	and	and	CCONJ
cana-1587	210	7	the	the	DET
cana-1587	210	8	optimal	optimal	ADJ
cana-1587	210	9	degree	degree	NOUN
cana-1587	210	10	of	of	ADP
cana-1587	210	11	tail	tail	NOUN
cana-1587	210	12	heaviness	heaviness	NOUN
cana-1587	210	13	in	in	ADP
cana-1587	210	14	the	the	DET
cana-1587	210	15	model	model	NOUN
cana-1587	210	16	decide	decide	VERB
cana-1587	210	17	the	the	DET
cana-1587	210	18	value	value	NOUN
cana-1587	210	19	of	of	ADP
cana-1587	210	20	g²	g²	NOUN
cana-1587	210	21	.	.	PUNCT
cana-1587	211	1	datasets	dataset	NOUN
cana-1587	211	2	showing	show	VERB
cana-1587	211	3	substantial	substantial	ADJ
cana-1587	211	4	heavy	heavy	ADJ
cana-1587	211	5	-	-	PUNCT
cana-1587	211	6	tailed	tail	VERB
cana-1587	211	7	behavior	behavior	NOUN
cana-1587	211	8	are	be	AUX
cana-1587	211	9	better	well	ADV
cana-1587	211	10	fitted	fit	VERB
cana-1587	211	11	with	with	ADP
cana-1587	211	12	larger	large	ADJ
cana-1587	211	13	values	value	NOUN
cana-1587	211	14	of	of	ADP
cana-1587	211	15	g²	g²	NOUN
cana-1587	211	16	.	.	PUNCT
cana-1587	212	1	it	it	PRON
cana-1587	212	2	is	be	AUX
cana-1587	212	3	important	important	ADJ
cana-1587	212	4	to	to	PART
cana-1587	212	5	acknowledge	acknowledge	VERB
cana-1587	212	6	that	that	SCONJ
cana-1587	212	7	the	the	DET
cana-1587	212	8	assumptions	assumption	NOUN
cana-1587	212	9	hidden	hide	VERB
cana-1587	212	10	the	the	DET
cana-1587	212	11	multivariate	multivariate	NOUN
cana-1587	212	12	scale	scale	NOUN
cana-1587	212	13	-	-	PUNCT
cana-1587	212	14	contaminated	contaminate	VERB
cana-1587	212	15	normal	normal	ADJ
cana-1587	212	16	model	model	NOUN
cana-1587	212	17	have	have	VERB
cana-1587	212	18	certain	certain	ADJ
cana-1587	212	19	limitations	limitation	NOUN
cana-1587	212	20	.	.	PUNCT
cana-1587	213	1	the	the	DET
cana-1587	213	2	model	model	NOUN
cana-1587	213	3	assumes	assume	VERB
cana-1587	213	4	that	that	SCONJ
cana-1587	213	5	the	the	DET
cana-1587	213	6	hidden	hide	VERB
cana-1587	213	7	data	datum	NOUN
cana-1587	213	8	follow	follow	VERB
cana-1587	213	9	a	a	DET
cana-1587	213	10	gaussian	gaussian	ADJ
cana-1587	213	11	dissemination	dissemination	NOUN
cana-1587	213	12	with	with	ADP
cana-1587	213	13	an	an	DET
cana-1587	213	14	added	add	VERB
cana-1587	213	15	contamination	contamination	NOUN
cana-1587	213	16	part	part	NOUN
cana-1587	213	17	.	.	PUNCT
cana-1587	214	1	nonetheless	nonetheless	ADV
cana-1587	214	2	,	,	PUNCT
cana-1587	214	3	real	real	ADJ
cana-1587	214	4	-	-	PUNCT
cana-1587	214	5	world	world	NOUN
cana-1587	214	6	data	datum	NOUN
cana-1587	214	7	distributions	distribution	NOUN
cana-1587	214	8	often	often	ADV
cana-1587	214	9	deviate	deviate	VERB
cana-1587	214	10	from	from	ADP
cana-1587	214	11	the	the	DET
cana-1587	214	12	gaussian	gaussian	ADJ
cana-1587	214	13	assumption	assumption	NOUN
cana-1587	214	14	.	.	PUNCT
cana-1587	215	1	thusly	thusly	ADV
cana-1587	215	2	,	,	PUNCT
cana-1587	215	3	the	the	DET
cana-1587	215	4	model	model	NOUN
cana-1587	215	5	may	may	AUX
cana-1587	215	6	not	not	PART
cana-1587	215	7	accurately	accurately	ADV
cana-1587	215	8	capture	capture	VERB
cana-1587	215	9	the	the	DET
cana-1587	215	10	genuine	genuine	ADJ
cana-1587	215	11	dissemination	dissemination	NOUN
cana-1587	215	12	of	of	ADP
cana-1587	215	13	the	the	DET
cana-1587	215	14	data	datum	NOUN
cana-1587	215	15	in	in	ADP
cana-1587	215	16	all	all	DET
cana-1587	215	17	cases	case	NOUN
cana-1587	215	18	.	.	PUNCT
cana-1587	216	1	additionally	additionally	ADV
cana-1587	216	2	,	,	PUNCT
cana-1587	216	3	the	the	DET
cana-1587	216	4	model	model	NOUN
cana-1587	216	5	assumes	assume	VERB
cana-1587	216	6	that	that	SCONJ
cana-1587	216	7	the	the	DET
cana-1587	216	8	covariance	covariance	NOUN
cana-1587	216	9	matrix	matrix	NOUN
cana-1587	216	10	σ	σ	NOUN
cana-1587	216	11	is	be	AUX
cana-1587	216	12	known	know	VERB
cana-1587	216	13	.	.	PUNCT
cana-1587	217	1	estimating	estimate	VERB
cana-1587	217	2	the	the	DET
cana-1587	217	3	covariance	covariance	NOUN
cana-1587	217	4	matrix	matrix	NOUN
cana-1587	217	5	from	from	ADP
cana-1587	217	6	data	datum	NOUN
cana-1587	217	7	is	be	AUX
cana-1587	217	8	often	often	ADV
cana-1587	217	9	challenging	challenge	VERB
cana-1587	217	10	,	,	PUNCT
cana-1587	217	11	particularly	particularly	ADV
cana-1587	217	12	in	in	ADP
cana-1587	217	13	high	high	ADJ
cana-1587	217	14	-	-	PUNCT
cana-1587	217	15	dimensional	dimensional	ADJ
cana-1587	217	16	settings	setting	NOUN
cana-1587	217	17	.	.	PUNCT
cana-1587	218	1	the	the	DET
cana-1587	218	2	performance	performance	NOUN
cana-1587	218	3	of	of	ADP
cana-1587	218	4	the	the	DET
cana-1587	218	5	model	model	NOUN
cana-1587	218	6	heavily	heavily	ADV
cana-1587	218	7	depends	depend	VERB
cana-1587	218	8	on	on	ADP
cana-1587	218	9	the	the	DET
cana-1587	218	10	accuracy	accuracy	NOUN
cana-1587	218	11	of	of	ADP
cana-1587	218	12	the	the	DET
cana-1587	218	13	estimated	estimate	VERB
cana-1587	218	14	covariance	covariance	NOUN
cana-1587	218	15	matrix	matrix	NOUN
cana-1587	218	16	.	.	PUNCT
cana-1587	219	1	furthermore	furthermore	ADV
cana-1587	219	2	,	,	PUNCT
cana-1587	219	3	the	the	DET
cana-1587	219	4	model	model	NOUN
cana-1587	219	5	assumes	assume	VERB
cana-1587	219	6	that	that	SCONJ
cana-1587	219	7	the	the	DET
cana-1587	219	8	contamination	contamination	NOUN
cana-1587	219	9	is	be	AUX
cana-1587	219	10	additive	additive	ADJ
cana-1587	219	11	and	and	CCONJ
cana-1587	219	12	affects	affect	VERB
cana-1587	219	13	all	all	DET
cana-1587	219	14	components	component	NOUN
cana-1587	219	15	of	of	ADP
cana-1587	219	16	the	the	DET
cana-1587	219	17	multivariate	multivariate	NOUN
cana-1587	219	18	data	datum	NOUN
cana-1587	219	19	equally	equally	ADV
cana-1587	219	20	.	.	PUNCT
cana-1587	220	1	in	in	ADP
cana-1587	220	2	any	any	DET
cana-1587	220	3	case	case	NOUN
cana-1587	220	4	,	,	PUNCT
cana-1587	220	5	in	in	ADP
cana-1587	220	6	certain	certain	ADJ
cana-1587	220	7	scenarios	scenario	NOUN
cana-1587	220	8	,	,	PUNCT
cana-1587	220	9	the	the	DET
cana-1587	220	10	contamination	contamination	NOUN
cana-1587	220	11	may	may	AUX
cana-1587	220	12	impact	impact	VERB
cana-1587	220	13	various	various	ADJ
cana-1587	220	14	components	component	NOUN
cana-1587	220	15	in	in	ADP
cana-1587	220	16	an	an	DET
cana-1587	220	17	unexpected	unexpected	ADJ
cana-1587	220	18	way	way	NOUN
cana-1587	220	19	,	,	PUNCT
cana-1587	220	20	leading	lead	VERB
cana-1587	220	21	to	to	ADP
cana-1587	220	22	a	a	DET
cana-1587	220	23	more	more	ADV
cana-1587	220	24	perplexing	perplexing	ADJ
cana-1587	220	25	contamination	contamination	NOUN
cana-1587	220	26	pattern	pattern	NOUN
cana-1587	220	27	that	that	PRON
cana-1587	220	28	can	can	AUX
cana-1587	220	29	not	not	PART
cana-1587	220	30	be	be	AUX
cana-1587	220	31	adequately	adequately	ADV
cana-1587	220	32	addressed	address	VERB
cana-1587	220	33	by	by	ADP
cana-1587	220	34	the	the	DET
cana-1587	220	35	model	model	NOUN
cana-1587	220	36	.	.	PUNCT
cana-1587	221	1	here	here	ADV
cana-1587	221	2	are	be	AUX
cana-1587	221	3	a	a	DET
cana-1587	221	4	few	few	ADJ
cana-1587	221	5	ideas	idea	NOUN
cana-1587	221	6	on	on	ADP
cana-1587	221	7	the	the	DET
cana-1587	221	8	best	good	ADJ
cana-1587	221	9	way	way	NOUN
cana-1587	221	10	to	to	PART
cana-1587	221	11	incorporate	incorporate	VERB
cana-1587	221	12	empirical	empirical	ADJ
cana-1587	221	13	examinations	examination	NOUN
cana-1587	221	14	or	or	CCONJ
cana-1587	221	15	simulations	simulation	NOUN
cana-1587	221	16	to	to	PART
cana-1587	221	17	compare	compare	VERB
cana-1587	221	18	the	the	DET
cana-1587	221	19	proposed	propose	VERB
cana-1587	221	20	estimators	estimator	NOUN
cana-1587	221	21	with	with	ADP
cana-1587	221	22	existing	exist	VERB
cana-1587	221	23	techniques	technique	NOUN
cana-1587	221	24	by	by	ADP
cana-1587	221	25	lark	lark	NOUN
cana-1587	221	26	concerning	concern	VERB
cana-1587	221	27	performance	performance	NOUN
cana-1587	221	28	:	:	PUNCT
cana-1587	221	29	i.	i.	NOUN
cana-1587	221	30	case	case	NOUN
cana-1587	221	31	studies	study	NOUN
cana-1587	221	32	:	:	PUNCT
cana-1587	221	33	communications	communication	NOUN
cana-1587	221	34	on	on	ADP
cana-1587	221	35	applied	apply	VERB
cana-1587	221	36	nonlinear	nonlinear	ADJ
cana-1587	221	37	analysis	analysis	NOUN
cana-1587	221	38	issn	issn	NOUN
cana-1587	221	39	:	:	PUNCT
cana-1587	221	40	1074	1074	NUM
cana-1587	221	41	-	-	PUNCT
cana-1587	221	42	133x	133x	NUM
cana-1587	221	43	vol	vol	NOUN
cana-1587	221	44	31	31	NUM
cana-1587	221	45	no	no	NOUN
cana-1587	221	46	.	.	PUNCT
cana-1587	222	1	8s	8s	PROPN
cana-1587	222	2	(	(	PUNCT
cana-1587	222	3	2024	2024	NUM
cana-1587	222	4	)	)	PUNCT
cana-1587	222	5	765	765	NUM
cana-1587	222	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-1587	222	7	we	we	PRON
cana-1587	222	8	select	select	VERB
cana-1587	222	9	real	real	ADJ
cana-1587	222	10	-	-	PUNCT
cana-1587	222	11	world	world	NOUN
cana-1587	222	12	datasets	dataset	NOUN
cana-1587	222	13	where	where	SCONJ
cana-1587	222	14	spatial	spatial	ADJ
cana-1587	222	15	association	association	NOUN
cana-1587	222	16	is	be	AUX
cana-1587	222	17	unmistakable	unmistakable	ADJ
cana-1587	222	18	and	and	CCONJ
cana-1587	222	19	apply	apply	VERB
cana-1587	222	20	both	both	PRON
cana-1587	222	21	the	the	DET
cana-1587	222	22	proposed	propose	VERB
cana-1587	222	23	estimators	estimator	NOUN
cana-1587	222	24	and	and	CCONJ
cana-1587	222	25	existing	exist	VERB
cana-1587	222	26	strategies	strategy	NOUN
cana-1587	222	27	by	by	ADP
cana-1587	222	28	lark	lark	NOUN
cana-1587	222	29	to	to	ADP
cana-1587	222	30	these	these	DET
cana-1587	222	31	datasets	dataset	NOUN
cana-1587	222	32	.	.	PUNCT
cana-1587	223	1	we	we	PRON
cana-1587	223	2	evaluate	evaluate	VERB
cana-1587	223	3	their	their	PRON
cana-1587	223	4	performance	performance	NOUN
cana-1587	223	5	in	in	ADP
cana-1587	223	6	estimating	estimate	VERB
cana-1587	223	7	cross	cross	NOUN
cana-1587	223	8	-	-	NOUN
cana-1587	223	9	variograms	variogram	NOUN
cana-1587	223	10	under	under	ADP
cana-1587	223	11	various	various	ADJ
cana-1587	223	12	scenarios	scenario	NOUN
cana-1587	223	13	.	.	PUNCT
cana-1587	224	1	ii	ii	X
cana-1587	224	2	.	.	PUNCT
cana-1587	225	1	synthetic	synthetic	ADJ
cana-1587	225	2	data	datum	NOUN
cana-1587	225	3	experiments	experiment	NOUN
cana-1587	225	4	:	:	PUNCT
cana-1587	225	5	we	we	PRON
cana-1587	225	6	generate	generate	VERB
cana-1587	225	7	synthetic	synthetic	ADJ
cana-1587	225	8	data	datum	NOUN
cana-1587	225	9	with	with	ADP
cana-1587	225	10	known	known	ADJ
cana-1587	225	11	characteristics	characteristic	NOUN
cana-1587	225	12	,	,	PUNCT
cana-1587	225	13	including	include	VERB
cana-1587	225	14	exceptions	exception	NOUN
cana-1587	225	15	and	and	CCONJ
cana-1587	225	16	varying	vary	VERB
cana-1587	225	17	degrees	degree	NOUN
cana-1587	225	18	of	of	ADP
cana-1587	225	19	contamination	contamination	NOUN
cana-1587	225	20	and	and	CCONJ
cana-1587	225	21	we	we	PRON
cana-1587	225	22	assess	assess	VERB
cana-1587	225	23	how	how	SCONJ
cana-1587	225	24	actually	actually	ADV
cana-1587	225	25	each	each	DET
cana-1587	225	26	estimator	estimator	NOUN
cana-1587	225	27	handles	handle	VERB
cana-1587	225	28	anomalies	anomaly	NOUN
cana-1587	225	29	and	and	CCONJ
cana-1587	225	30	accurately	accurately	ADV
cana-1587	225	31	approximates	approximate	VERB
cana-1587	225	32	sample	sample	NOUN
cana-1587	225	33	distributions	distribution	NOUN
cana-1587	225	34	utilizing	utilize	VERB
cana-1587	225	35	this	this	DET
cana-1587	225	36	synthetic	synthetic	ADJ
cana-1587	225	37	data	datum	NOUN
cana-1587	225	38	.	.	PUNCT
cana-1587	226	1	iii	iii	X
cana-1587	226	2	.	.	PUNCT
cana-1587	226	3	resilience	resilience	NOUN
cana-1587	226	4	testing	testing	NOUN
cana-1587	226	5	:	:	PUNCT
cana-1587	226	6	we	we	PRON
cana-1587	226	7	conduct	conduct	VERB
cana-1587	226	8	robustness	robustness	NOUN
cana-1587	226	9	tests	test	NOUN
cana-1587	226	10	by	by	ADP
cana-1587	226	11	intentionally	intentionally	ADV
cana-1587	226	12	bringing	bring	VERB
cana-1587	226	13	exceptions	exception	NOUN
cana-1587	226	14	into	into	ADP
cana-1587	226	15	the	the	DET
cana-1587	226	16	dataset	dataset	NOUN
cana-1587	226	17	and	and	CCONJ
cana-1587	226	18	we	we	PRON
cana-1587	226	19	evaluate	evaluate	VERB
cana-1587	226	20	how	how	SCONJ
cana-1587	226	21	each	each	DET
cana-1587	226	22	estimator	estimator	NOUN
cana-1587	226	23	answers	answer	VERB
cana-1587	226	24	these	these	DET
cana-1587	226	25	anomalies	anomaly	NOUN
cana-1587	226	26	compared	compare	VERB
cana-1587	226	27	to	to	ADP
cana-1587	226	28	traditional	traditional	ADJ
cana-1587	226	29	techniques	technique	NOUN
cana-1587	226	30	like	like	ADP
cana-1587	226	31	those	those	PRON
cana-1587	226	32	by	by	ADP
cana-1587	226	33	lark	lark	NOUN
cana-1587	226	34	.	.	PUNCT
cana-1587	227	1	iv	iv	X
cana-1587	227	2	.	.	PUNCT
cana-1587	227	3	accuracy	accuracy	NOUN
cana-1587	227	4	assessment	assessment	NOUN
cana-1587	227	5	:	:	PUNCT
cana-1587	227	6	we	we	PRON
cana-1587	227	7	measure	measure	VERB
cana-1587	227	8	accuracy	accuracy	NOUN
cana-1587	227	9	measurements	measurement	NOUN
cana-1587	227	10	like	like	AUX
cana-1587	227	11	mean	mean	VERB
cana-1587	227	12	squared	square	VERB
cana-1587	227	13	error	error	NOUN
cana-1587	227	14	(	(	PUNCT
cana-1587	227	15	mse	mse	NOUN
cana-1587	227	16	)	)	PUNCT
cana-1587	227	17	or	or	CCONJ
cana-1587	227	18	relative	relative	ADJ
cana-1587	227	19	error	error	NOUN
cana-1587	227	20	for	for	ADP
cana-1587	227	21	both	both	DET
cana-1587	227	22	proposed	propose	VERB
cana-1587	227	23	estimators	estimator	NOUN
cana-1587	227	24	.	.	PUNCT
cana-1587	228	1	and	and	CCONJ
cana-1587	228	2	we	we	PRON
cana-1587	228	3	compare	compare	VERB
cana-1587	228	4	the	the	DET
cana-1587	228	5	performance	performance	NOUN
cana-1587	228	6	of	of	ADP
cana-1587	228	7	the	the	DET
cana-1587	228	8	estimators	estimator	NOUN
cana-1587	228	9	against	against	ADP
cana-1587	228	10	benchmarks	benchmark	NOUN
cana-1587	228	11	got	get	VERB
cana-1587	228	12	from	from	ADP
cana-1587	228	13	realized	realize	VERB
cana-1587	228	14	genuine	genuine	ADJ
cana-1587	228	15	values	value	NOUN
cana-1587	228	16	in	in	ADP
cana-1587	228	17	simulated	simulated	ADJ
cana-1587	228	18	settings	setting	NOUN
cana-1587	228	19	.	.	PUNCT
cana-1587	229	1	v.	v.	ADP
cana-1587	229	2	results	result	NOUN
cana-1587	229	3	&	&	CCONJ
cana-1587	229	4	discussion	discussion	NOUN
cana-1587	229	5	:	:	PUNCT
cana-1587	229	6	we	we	PRON
cana-1587	229	7	present	present	VERB
cana-1587	229	8	the	the	DET
cana-1587	229	9	discoveries	discovery	NOUN
cana-1587	229	10	from	from	ADP
cana-1587	229	11	case	case	NOUN
cana-1587	229	12	studies	study	NOUN
cana-1587	229	13	or	or	CCONJ
cana-1587	229	14	simulations	simulation	NOUN
cana-1587	229	15	,	,	PUNCT
cana-1587	229	16	including	include	VERB
cana-1587	229	17	statistical	statistical	ADJ
cana-1587	229	18	measures	measure	NOUN
cana-1587	229	19	utilized	utilize	VERB
cana-1587	229	20	for	for	ADP
cana-1587	229	21	evaluation	evaluation	NOUN
cana-1587	229	22	.	.	PUNCT
cana-1587	230	1	to	to	PART
cana-1587	230	2	gain	gain	VERB
cana-1587	230	3	a	a	DET
cana-1587	230	4	more	more	ADV
cana-1587	230	5	profound	profound	ADJ
cana-1587	230	6	understanding	understanding	NOUN
cana-1587	230	7	of	of	ADP
cana-1587	230	8	how	how	SCONJ
cana-1587	230	9	the	the	DET
cana-1587	230	10	proposed	propose	VERB
cana-1587	230	11	system	system	NOUN
cana-1587	230	12	addresses	address	VERB
cana-1587	230	13	the	the	DET
cana-1587	230	14	innate	innate	ADJ
cana-1587	230	15	reliance	reliance	NOUN
cana-1587	230	16	in	in	ADP
cana-1587	230	17	spatial	spatial	ADJ
cana-1587	230	18	observations	observation	NOUN
cana-1587	230	19	,	,	PUNCT
cana-1587	230	20	we	we	PRON
cana-1587	230	21	give	give	VERB
cana-1587	230	22	the	the	DET
cana-1587	230	23	accompanying	accompanying	ADJ
cana-1587	230	24	detailed	detailed	ADJ
cana-1587	230	25	explanation	explanation	NOUN
cana-1587	230	26	:	:	PUNCT
cana-1587	230	27	•	•	NUM
cana-1587	230	28	location	location	NOUN
cana-1587	230	29	estimation	estimation	NOUN
cana-1587	230	30	approach	approach	NOUN
cana-1587	230	31	:	:	PUNCT
cana-1587	230	32	the	the	DET
cana-1587	230	33	methodology	methodology	NOUN
cana-1587	230	34	prioritizes	prioritize	VERB
cana-1587	230	35	location	location	NOUN
cana-1587	230	36	estimation	estimation	NOUN
cana-1587	230	37	over	over	ADP
cana-1587	230	38	scale	scale	NOUN
cana-1587	230	39	estimation	estimation	NOUN
cana-1587	230	40	,	,	PUNCT
cana-1587	230	41	which	which	PRON
cana-1587	230	42	mitigates	mitigate	VERB
cana-1587	230	43	the	the	DET
cana-1587	230	44	impact	impact	NOUN
cana-1587	230	45	of	of	ADP
cana-1587	230	46	exceptions	exception	NOUN
cana-1587	230	47	and	and	CCONJ
cana-1587	230	48	anomalies	anomaly	NOUN
cana-1587	230	49	coming	come	VERB
cana-1587	230	50	about	about	ADV
cana-1587	230	51	because	because	SCONJ
cana-1587	230	52	of	of	ADP
cana-1587	230	53	the	the	DET
cana-1587	230	54	association	association	NOUN
cana-1587	230	55	among	among	ADP
cana-1587	230	56	variables	variable	NOUN
cana-1587	230	57	.	.	PUNCT
cana-1587	231	1	•	•	NUM
cana-1587	231	2	robust	robust	ADJ
cana-1587	231	3	estimators	estimator	NOUN
cana-1587	231	4	:	:	PUNCT
cana-1587	231	5	the	the	DET
cana-1587	231	6	methodology	methodology	NOUN
cana-1587	231	7	incorporates	incorporate	VERB
cana-1587	231	8	hearty	hearty	ADJ
cana-1587	231	9	estimators	estimator	NOUN
cana-1587	231	10	based	base	VERB
cana-1587	231	11	on	on	ADP
cana-1587	231	12	a	a	DET
cana-1587	231	13	multivariate	multivariate	NOUN
cana-1587	231	14	scale	scale	NOUN
cana-1587	231	15	-	-	PUNCT
cana-1587	231	16	contaminated	contaminate	VERB
cana-1587	231	17	normal	normal	ADJ
cana-1587	231	18	model	model	NOUN
cana-1587	231	19	,	,	PUNCT
cana-1587	231	20	which	which	PRON
cana-1587	231	21	accounts	account	VERB
cana-1587	231	22	for	for	ADP
cana-1587	231	23	deviations	deviation	NOUN
cana-1587	231	24	from	from	ADP
cana-1587	231	25	normality	normality	NOUN
cana-1587	231	26	and	and	CCONJ
cana-1587	231	27	heavy	heavy	ADJ
cana-1587	231	28	-	-	PUNCT
cana-1587	231	29	tailed	tail	VERB
cana-1587	231	30	distributions	distribution	NOUN
cana-1587	231	31	ordinarily	ordinarily	ADV
cana-1587	231	32	tracked	track	VERB
cana-1587	231	33	down	down	ADP
cana-1587	231	34	in	in	ADP
cana-1587	231	35	real	real	ADJ
cana-1587	231	36	-	-	PUNCT
cana-1587	231	37	world	world	NOUN
cana-1587	231	38	data	datum	NOUN
cana-1587	231	39	.	.	PUNCT
cana-1587	232	1	•	•	NUM
cana-1587	232	2	saddle	saddle	NOUN
cana-1587	232	3	point	point	NOUN
cana-1587	232	4	techniques	technique	NOUN
cana-1587	232	5	:	:	PUNCT
cana-1587	232	6	saddle	saddle	NOUN
cana-1587	232	7	point	point	NOUN
cana-1587	232	8	techniques	technique	NOUN
cana-1587	232	9	are	be	AUX
cana-1587	232	10	used	use	VERB
cana-1587	232	11	to	to	PART
cana-1587	232	12	determine	determine	VERB
cana-1587	232	13	exact	exact	ADJ
cana-1587	232	14	approximations	approximation	NOUN
cana-1587	232	15	for	for	ADP
cana-1587	232	16	sample	sample	NOUN
cana-1587	232	17	distributions	distribution	NOUN
cana-1587	232	18	,	,	PUNCT
cana-1587	232	19	in	in	ADP
cana-1587	232	20	any	any	DET
cana-1587	232	21	event	event	NOUN
cana-1587	232	22	,	,	PUNCT
cana-1587	232	23	while	while	SCONJ
cana-1587	232	24	dealing	deal	VERB
cana-1587	232	25	with	with	ADP
cana-1587	232	26	complex	complex	ADJ
cana-1587	232	27	integrals	integral	NOUN
cana-1587	232	28	or	or	CCONJ
cana-1587	232	29	intricate	intricate	ADJ
cana-1587	232	30	statistical	statistical	ADJ
cana-1587	232	31	relationships	relationship	NOUN
cana-1587	232	32	present	present	ADJ
cana-1587	232	33	in	in	ADP
cana-1587	232	34	spatial	spatial	ADJ
cana-1587	232	35	observations	observation	NOUN
cana-1587	232	36	.	.	PUNCT
cana-1587	233	1	•	•	NUM
cana-1587	233	2	resilience	resilience	NOUN
cana-1587	233	3	testing	testing	NOUN
cana-1587	233	4	:	:	PUNCT
cana-1587	233	5	simulations	simulation	NOUN
cana-1587	233	6	are	be	AUX
cana-1587	233	7	conducted	conduct	VERB
cana-1587	233	8	utilizing	utilize	VERB
cana-1587	233	9	synthetic	synthetic	ADJ
cana-1587	233	10	data	datum	NOUN
cana-1587	233	11	that	that	PRON
cana-1587	233	12	displays	display	VERB
cana-1587	233	13	varying	vary	VERB
cana-1587	233	14	degrees	degree	NOUN
cana-1587	233	15	of	of	ADP
cana-1587	233	16	association	association	NOUN
cana-1587	233	17	between	between	ADP
cana-1587	233	18	variables	variable	NOUN
cana-1587	233	19	.	.	PUNCT
cana-1587	234	1	the	the	DET
cana-1587	234	2	performance	performance	NOUN
cana-1587	234	3	of	of	ADP
cana-1587	234	4	the	the	DET
cana-1587	234	5	proposed	propose	VERB
cana-1587	234	6	estimators	estimator	NOUN
cana-1587	234	7	in	in	ADP
cana-1587	234	8	handling	handle	VERB
cana-1587	234	9	this	this	DET
cana-1587	234	10	intrinsic	intrinsic	ADJ
cana-1587	234	11	reliance	reliance	NOUN
cana-1587	234	12	is	be	AUX
cana-1587	234	13	evaluated	evaluate	VERB
cana-1587	234	14	and	and	CCONJ
cana-1587	234	15	compared	compare	VERB
cana-1587	234	16	to	to	ADP
cana-1587	234	17	traditional	traditional	ADJ
cana-1587	234	18	techniques	technique	NOUN
cana-1587	234	19	.	.	PUNCT
cana-1587	235	1	communications	communication	NOUN
cana-1587	235	2	on	on	ADP
cana-1587	235	3	applied	apply	VERB
cana-1587	235	4	nonlinear	nonlinear	ADJ
cana-1587	235	5	analysis	analysis	NOUN
cana-1587	235	6	issn	issn	NOUN
cana-1587	235	7	:	:	PUNCT
cana-1587	235	8	1074	1074	NUM
cana-1587	235	9	-	-	PUNCT
cana-1587	235	10	133x	133x	NUM
cana-1587	235	11	vol	vol	NOUN
cana-1587	235	12	31	31	NUM
cana-1587	235	13	no	no	NOUN
cana-1587	235	14	.	.	PUNCT
cana-1587	236	1	8s	8s	PROPN
cana-1587	236	2	(	(	PUNCT
cana-1587	236	3	2024	2024	NUM
cana-1587	236	4	)	)	PUNCT
cana-1587	236	5	766	766	NUM
cana-1587	236	6	https://internationalpubls.com	https://internationalpubls.com	SYM
cana-1587	236	7	•	•	NUM
cana-1587	236	8	comparative	comparative	ADJ
cana-1587	236	9	analysis	analysis	NOUN
cana-1587	236	10	:	:	PUNCT
cana-1587	236	11	performance	performance	NOUN
cana-1587	236	12	measurements	measurement	NOUN
cana-1587	236	13	,	,	PUNCT
cana-1587	236	14	for	for	ADP
cana-1587	236	15	example	example	NOUN
cana-1587	236	16	,	,	PUNCT
cana-1587	236	17	accuracy	accuracy	NOUN
cana-1587	236	18	and	and	CCONJ
cana-1587	236	19	bias	bias	NOUN
cana-1587	236	20	control	control	NOUN
cana-1587	236	21	are	be	AUX
cana-1587	236	22	compared	compare	VERB
cana-1587	236	23	between	between	ADP
cana-1587	236	24	the	the	DET
cana-1587	236	25	proposed	propose	VERB
cana-1587	236	26	estimators	estimator	NOUN
cana-1587	236	27	and	and	CCONJ
cana-1587	236	28	existing	exist	VERB
cana-1587	236	29	techniques	technique	NOUN
cana-1587	236	30	under	under	ADP
cana-1587	236	31	various	various	ADJ
cana-1587	236	32	scenarios	scenario	NOUN
cana-1587	236	33	including	include	VERB
cana-1587	236	34	varying	vary	VERB
cana-1587	236	35	levels	level	NOUN
cana-1587	236	36	of	of	ADP
cana-1587	236	37	spatial	spatial	ADJ
cana-1587	236	38	association	association	NOUN
cana-1587	236	39	.	.	PUNCT
cana-1587	237	1	•	•	NUM
cana-1587	237	2	results	result	NOUN
cana-1587	237	3	interpretation	interpretation	NOUN
cana-1587	237	4	:	:	PUNCT
cana-1587	237	5	the	the	DET
cana-1587	237	6	findings	finding	NOUN
cana-1587	237	7	from	from	ADP
cana-1587	237	8	the	the	DET
cana-1587	237	9	simulations	simulation	NOUN
cana-1587	237	10	are	be	AUX
cana-1587	237	11	discussed	discuss	VERB
cana-1587	237	12	,	,	PUNCT
cana-1587	237	13	highlighting	highlight	VERB
cana-1587	237	14	how	how	SCONJ
cana-1587	237	15	the	the	DET
cana-1587	237	16	location	location	NOUN
cana-1587	237	17	-	-	PUNCT
cana-1587	237	18	based	base	VERB
cana-1587	237	19	estimation	estimation	NOUN
cana-1587	237	20	approach	approach	NOUN
cana-1587	237	21	enables	enable	VERB
cana-1587	237	22	resilience	resilience	NOUN
cana-1587	237	23	in	in	ADP
cana-1587	237	24	the	the	DET
cana-1587	237	25	methodology	methodology	NOUN
cana-1587	237	26	.	.	PUNCT
cana-1587	238	1	the	the	DET
cana-1587	238	2	representative	representative	ADJ
cana-1587	238	3	mean	mean	NOUN
cana-1587	238	4	of	of	ADP
cana-1587	238	5	converted	converted	ADJ
cana-1587	238	6	variables	variable	NOUN
cana-1587	238	7	is	be	AUX
cana-1587	238	8	used	use	VERB
cana-1587	238	9	to	to	PART
cana-1587	238	10	calculate	calculate	VERB
cana-1587	238	11	the	the	DET
cana-1587	238	12	technique	technique	NOUN
cana-1587	238	13	of	of	ADP
cana-1587	238	14	n	n	CCONJ
cana-1587	238	15	-	-	PUNCT
cana-1587	238	16	moments	moment	NOUN
cana-1587	238	17	estimation	estimation	PROPN
cana-1587	238	18	xs	xs	PROPN
cana-1587	238	19	,	,	PUNCT
cana-1587	238	20	it	it	PRON
cana-1587	238	21	can	can	AUX
cana-1587	238	22	be	be	AUX
cana-1587	238	23	considered	consider	VERB
cana-1587	238	24	a	a	DET
cana-1587	238	25	form	form	NOUN
cana-1587	238	26	of	of	ADP
cana-1587	238	27	robustification	robustification	NOUN
cana-1587	238	28	.	.	PUNCT
cana-1587	239	1	however	however	ADV
cana-1587	239	2	,	,	PUNCT
cana-1587	239	3	due	due	ADP
cana-1587	239	4	to	to	ADP
cana-1587	239	5	the	the	DET
cana-1587	239	6	peculiar	peculiar	ADJ
cana-1587	239	7	nature	nature	NOUN
cana-1587	239	8	of	of	ADP
cana-1587	239	9	the	the	DET
cana-1587	239	10	model	model	NOUN
cana-1587	239	11	distribution	distribution	NOUN
cana-1587	239	12	and	and	CCONJ
cana-1587	239	13	more	more	ADV
cana-1587	239	14	elaborate	elaborate	ADJ
cana-1587	239	15	computations	computation	NOUN
cana-1587	239	16	involved	involve	VERB
cana-1587	239	17	,	,	PUNCT
cana-1587	239	18	this	this	DET
cana-1587	239	19	estimator	estimator	NOUN
cana-1587	239	20	requires	require	VERB
cana-1587	239	21	further	further	ADJ
cana-1587	239	22	elaboration	elaboration	NOUN
cana-1587	239	23	.	.	PUNCT
cana-1587	240	1	our	our	PRON
cana-1587	240	2	first	first	ADJ
cana-1587	240	3	step	step	NOUN
cana-1587	240	4	in	in	ADP
cana-1587	240	5	achieving	achieve	VERB
cana-1587	240	6	this	this	DET
cana-1587	240	7	involves	involve	VERB
cana-1587	240	8	defining	define	VERB
cana-1587	240	9	a	a	DET
cana-1587	240	10	comprehensive	comprehensive	ADJ
cana-1587	240	11	range	range	NOUN
cana-1587	240	12	for	for	ADP
cana-1587	240	13	crossvariogram	crossvariogram	NOUN
cana-1587	240	14	estimations	estimation	NOUN
cana-1587	240	15	whose	whose	DET
cana-1587	240	16	level	level	NOUN
cana-1587	240	17	of	of	ADP
cana-1587	240	18	robustness	robustness	NOUN
cana-1587	240	19	may	may	AUX
cana-1587	240	20	be	be	AUX
cana-1587	240	21	effectively	effectively	ADV
cana-1587	240	22	planned	plan	VERB
cana-1587	240	23	.	.	PUNCT
cana-1587	241	1	we	we	PRON
cana-1587	241	2	refer	refer	VERB
cana-1587	241	3	to	to	ADP
cana-1587	241	4	the	the	DET
cana-1587	241	5	formula	formula	NOUN
cana-1587	241	6	's	's	PART
cana-1587	241	7	result	result	NOUN
cana-1587	241	8	as	as	ADP
cana-1587	241	9	n	n	NOUN
cana-1587	241	10	-	-	PUNCT
cana-1587	241	11	estimators	estimator	NOUN
cana-1587	241	12	for	for	ADP
cana-1587	241	13	cross	cross	NOUN
cana-1587	241	14	-	-	NOUN
cana-1587	241	15	variogram	variogram	ADJ
cana-1587	241	16	,	,	PUNCT
cana-1587	241	17	where	where	SCONJ
cana-1587	241	18	φ	φ	PROPN
cana-1587	241	19	∶	∶	NOUN
cana-1587	241	20	x	x	X
cana-1587	241	21	×	×	PROPN
cana-1587	241	22	φ	φ	PROPN
cana-1587	241	23	→	→	SYM
cana-1587	241	24	ℝ	ℝ	PROPN
cana-1587	241	25	serves	serve	VERB
cana-1587	241	26	as	as	ADP
cana-1587	241	27	the	the	DET
cana-1587	241	28	score	score	NOUN
cana-1587	241	29	function	function	NOUN
cana-1587	241	30	.	.	PUNCT
cana-1587	242	1	∑	∑	PUNCT
cana-1587	242	2	φ(𝑋𝑠	φ(𝑋𝑠	PROPN
cana-1587	242	3	,	,	PUNCT
cana-1587	242	4	ψ𝑛+1	ψ𝑛+1	NOUN
cana-1587	242	5	)	)	PUNCT
cana-1587	242	6	=	=	SYM
cana-1587	242	7	0𝑛+1	0𝑛+1	NOUN
cana-1587	242	8	𝑠=1	𝑠=1	PUNCT
cana-1587	242	9	(	(	PUNCT
cana-1587	242	10	4	4	NUM
cana-1587	242	11	)	)	PUNCT
cana-1587	242	12	where	where	SCONJ
cana-1587	242	13	𝑋𝑠	𝑋𝑠	PROPN
cana-1587	242	14	represent	represent	VERB
cana-1587	242	15	the	the	DET
cana-1587	242	16	variables	variable	NOUN
cana-1587	242	17	that	that	PRON
cana-1587	242	18	were	be	AUX
cana-1587	242	19	previously	previously	ADV
cana-1587	242	20	examined	examine	VERB
cana-1587	242	21	and	and	CCONJ
cana-1587	242	22	we	we	PRON
cana-1587	242	23	presume	presume	VERB
cana-1587	242	24	that	that	SCONJ
cana-1587	242	25	φ(x,ϕ+1	φ(x,ϕ+1	NOUN
cana-1587	242	26	)	)	PUNCT
cana-1587	242	27	exhibits	exhibit	VERB
cana-1587	242	28	a	a	DET
cana-1587	242	29	monotonically	monotonically	ADV
cana-1587	242	30	decreasing	decrease	VERB
cana-1587	242	31	trend	trend	NOUN
cana-1587	242	32	in	in	ADP
cana-1587	242	33	(	(	PUNCT
cana-1587	242	34	ϕ+1	ϕ+1	NOUN
cana-1587	242	35	)	)	PUNCT
cana-1587	242	36	∀	∀	NOUN
cana-1587	242	37	𝑥.	𝑥.	VERB
cana-1587	242	38	in	in	ADP
cana-1587	242	39	reality	reality	NOUN
cana-1587	242	40	,	,	PUNCT
cana-1587	242	41	ψ𝑛+1	ψ𝑛+1	PROPN
cana-1587	242	42	is	be	AUX
cana-1587	242	43	a	a	DET
cana-1587	242	44	location	location	NOUN
cana-1587	242	45	estimation	estimation	NOUN
cana-1587	242	46	tool	tool	NOUN
cana-1587	242	47	predicament	predicament	NOUN
cana-1587	242	48	,	,	PUNCT
cana-1587	242	49	with	with	ADP
cana-1587	242	50	φ	φ	PROPN
cana-1587	242	51	(	(	PUNCT
cana-1587	242	52	x	x	PROPN
cana-1587	242	53	,	,	PUNCT
cana-1587	242	54	ϕ	ϕ	PROPN
cana-1587	242	55	+1	+1	PROPN
cana-1587	242	56	)	)	PUNCT
cana-1587	242	57	taking	take	VERB
cana-1587	242	58	on	on	ADP
cana-1587	242	59	the	the	DET
cana-1587	242	60	form	form	NOUN
cana-1587	242	61	of	of	ADP
cana-1587	242	62	φ	φ	PROPN
cana-1587	242	63	(	(	PUNCT
cana-1587	242	64	x-	x-	PROPN
cana-1587	242	65	(	(	PUNCT
cana-1587	242	66	ϕ	ϕ	PROPN
cana-1587	242	67	+1	+1	PROPN
cana-1587	242	68	)	)	PUNCT
cana-1587	242	69	)	)	PUNCT
cana-1587	242	70	,	,	PUNCT
cana-1587	242	71	where	where	SCONJ
cana-1587	242	72	φ	φ	PROPN
cana-1587	242	73	(	(	PUNCT
cana-1587	242	74	v+1	v+1	NUM
cana-1587	242	75	)	)	PUNCT
cana-1587	242	76	displays	display	VERB
cana-1587	242	77	a	a	DET
cana-1587	242	78	monotonically	monotonically	ADV
cana-1587	242	79	increasing	increase	VERB
cana-1587	242	80	tendency	tendency	NOUN
cana-1587	242	81	in	in	ADP
cana-1587	242	82	v	v	NUM
cana-1587	242	83	[	[	X
cana-1587	242	84	10	10	NUM
cana-1587	242	85	-	-	SYM
cana-1587	242	86	11	11	NUM
cana-1587	242	87	]	]	PUNCT
cana-1587	242	88	.	.	PUNCT
cana-1587	243	1	by	by	ADP
cana-1587	243	2	using	use	VERB
cana-1587	243	3	a	a	DET
cana-1587	243	4	constrained	constrain	VERB
cana-1587	243	5	scoring	scoring	NOUN
cana-1587	243	6	function	function	NOUN
cana-1587	243	7	,	,	PUNCT
cana-1587	243	8	we	we	PRON
cana-1587	243	9	may	may	AUX
cana-1587	243	10	govern	govern	VERB
cana-1587	243	11	the	the	DET
cana-1587	243	12	adaptability	adaptability	NOUN
cana-1587	243	13	that	that	PRON
cana-1587	243	14	defines	define	VERB
cana-1587	243	15	the	the	DET
cana-1587	243	16	n	n	CCONJ
cana-1587	243	17	-	-	PUNCT
cana-1587	243	18	estimators	estimator	NOUN
cana-1587	243	19	'	'	PART
cana-1587	243	20	cross	cross	NOUN
cana-1587	243	21	-	-	NOUN
cana-1587	243	22	variogram	variogram	NOUN
cana-1587	243	23	.	.	PUNCT
cana-1587	244	1	several	several	ADJ
cana-1587	244	2	resilience	resilience	NOUN
cana-1587	244	3	characteristics	characteristic	NOUN
cana-1587	244	4	,	,	PUNCT
cana-1587	244	5	including	include	VERB
cana-1587	244	6	a	a	DET
cana-1587	244	7	splitting	splitting	NOUN
cana-1587	244	8	point	point	NOUN
cana-1587	244	9	,	,	PUNCT
cana-1587	244	10	can	can	AUX
cana-1587	244	11	also	also	ADV
cana-1587	244	12	be	be	AUX
cana-1587	244	13	applied	apply	VERB
cana-1587	244	14	to	to	ADP
cana-1587	244	15	this	this	DET
cana-1587	244	16	class	class	NOUN
cana-1587	244	17	of	of	ADP
cana-1587	244	18	estimation	estimation	NOUN
cana-1587	244	19	methods	method	NOUN
cana-1587	244	20	.	.	PUNCT
cana-1587	245	1	3.2	3.2	NUM
cana-1587	245	2	.	.	PUNCT
cana-1587	246	1	approximating	approximate	VERB
cana-1587	246	2	the	the	DET
cana-1587	246	3	distributions	distribution	NOUN
cana-1587	246	4	using	use	VERB
cana-1587	246	5	von	von	PROPN
cana-1587	246	6	mises	mises	PROPN
cana-1587	246	7	methodology	methodology	PROPN
cana-1587	246	8	if	if	SCONJ
cana-1587	246	9	ψ𝑛+1(𝑋1	ψ𝑛+1(𝑋1	PROPN
cana-1587	246	10	,	,	PUNCT
cana-1587	246	11	…	…	PUNCT
cana-1587	246	12	,	,	PUNCT
cana-1587	246	13	𝑋𝑛+1	𝑋𝑛+1	NOUN
cana-1587	246	14	)	)	PUNCT
cana-1587	246	15	are	be	AUX
cana-1587	246	16	estimators	estimator	NOUN
cana-1587	246	17	based	base	VERB
cana-1587	246	18	on	on	ADP
cana-1587	246	19	observations	observation	NOUN
cana-1587	246	20	from	from	ADP
cana-1587	246	21	the	the	DET
cana-1587	246	22	underlying	underlie	VERB
cana-1587	246	23	model	model	NOUN
cana-1587	246	24	distribution	distribution	NOUN
cana-1587	247	1	f	f	NOUN
cana-1587	247	2	,	,	PUNCT
cana-1587	247	3	then	then	ADV
cana-1587	247	4	the	the	DET
cana-1587	247	5	tail	tail	NOUN
cana-1587	247	6	probability	probability	NOUN
cana-1587	247	7	k𝐹{ψ𝑛+1	k𝐹{ψ𝑛+1	PROPN
cana-1587	247	8	>	>	SYM
cana-1587	247	9	𝑡	𝑡	PROPN
cana-1587	247	10	}	}	PUNCT
cana-1587	247	11	can	can	AUX
cana-1587	247	12	be	be	AUX
cana-1587	247	13	expressed	express	VERB
cana-1587	247	14	in	in	ADP
cana-1587	247	15	terms	term	NOUN
cana-1587	247	16	of	of	ADP
cana-1587	247	17	a	a	DET
cana-1587	247	18	different	different	ADJ
cana-1587	247	19	approach	approach	NOUN
cana-1587	247	20	based	base	VERB
cana-1587	247	21	on	on	ADP
cana-1587	247	22	the	the	DET
cana-1587	247	23	von	von	PROPN
cana-1587	247	24	mises	mises	PROPN
cana-1587	247	25	expansions	expansion	NOUN
cana-1587	247	26	[	[	X
cana-1587	247	27	12	12	NUM
cana-1587	247	28	-	-	SYM
cana-1587	247	29	14	14	NUM
cana-1587	247	30	]	]	PUNCT
cana-1587	247	31	.	.	PUNCT
cana-1587	248	1	k𝐹{ψ𝑛+1	k𝐹{ψ𝑛+1	PROPN
cana-1587	248	2	>	>	PUNCT
cana-1587	248	3	𝑡	𝑡	PROPN
cana-1587	248	4	+	+	PROPN
cana-1587	248	5	1	1	NUM
cana-1587	248	6	}	}	PUNCT
cana-1587	248	7	=	=	SYM
cana-1587	248	8	𝑃𝐺{ψ𝑛+1	𝑃𝐺{ψ𝑛+1	X
cana-1587	248	9	>	>	X
cana-1587	248	10	𝑡	𝑡	PROPN
cana-1587	249	1	+	+	PROPN
cana-1587	249	2	1	1	NUM
cana-1587	249	3	}	}	PUNCT
cana-1587	249	4	+	+	NUM
cana-1587	249	5	∫	∫	PROPN
cana-1587	249	6	taif	taif	PROPN
cana-1587	249	7	(	(	PUNCT
cana-1587	249	8	𝑥	𝑥	PROPN
cana-1587	249	9	+	+	NUM
cana-1587	249	10	1	1	NUM
cana-1587	249	11	;	;	PUNCT
cana-1587	249	12	𝑡	𝑡	NOUN
cana-1587	249	13	+	+	PROPN
cana-1587	249	14	1	1	NUM
cana-1587	249	15	;	;	PUNCT
cana-1587	249	16	ψ𝑛+1	ψ𝑛+1	NUM
cana-1587	249	17	,	,	PUNCT
cana-1587	249	18	λ	λ	PROPN
cana-1587	249	19	+	+	NOUN
cana-1587	249	20	1)𝑑𝐹(𝑥	1)𝑑𝐹(𝑥	NUM
cana-1587	249	21	+	+	NOUN
cana-1587	249	22	1	1	NUM
cana-1587	249	23	)	)	PUNCT
cana-1587	249	24	+	+	CCONJ
cana-1587	249	25	𝑂(∥	𝑂(∥	PUNCT
cana-1587	249	26	𝐹	𝐹	NUM
cana-1587	249	27	−	−	PROPN
cana-1587	249	28	λ	λ	NOUN
cana-1587	249	29	∥2	∥2	NOUN
cana-1587	249	30	)	)	PUNCT
cana-1587	249	31	the	the	DET
cana-1587	249	32	symbol	symbol	NOUN
cana-1587	249	33	taif	taif	PROPN
cana-1587	249	34	(	(	PUNCT
cana-1587	249	35	𝑥	𝑥	PROPN
cana-1587	249	36	+	+	NUM
cana-1587	249	37	1	1	NUM
cana-1587	249	38	;	;	PUNCT
cana-1587	249	39	𝑡	𝑡	NOUN
cana-1587	249	40	+	+	PROPN
cana-1587	249	41	1	1	NUM
cana-1587	249	42	;	;	PUNCT
cana-1587	249	43	ψ𝑛+1	ψ𝑛+1	NUM
cana-1587	249	44	,	,	PUNCT
cana-1587	249	45	λ	λ	X
cana-1587	249	46	+	+	NOUN
cana-1587	249	47	1	1	X
cana-1587	249	48	)	)	PUNCT
cana-1587	249	49	refers	refer	VERB
cana-1587	249	50	to	to	ADP
cana-1587	249	51	hampel	hampel	NOUN
cana-1587	249	52	's	's	PART
cana-1587	249	53	influence	influence	NOUN
cana-1587	249	54	function	function	NOUN
cana-1587	249	55	of	of	ADP
cana-1587	249	56	the	the	DET
cana-1587	249	57	tail	tail	NOUN
cana-1587	249	58	probability	probability	NOUN
cana-1587	249	59	functional	functional	ADJ
cana-1587	249	60	,	,	PUNCT
cana-1587	249	61	which	which	PRON
cana-1587	249	62	is	be	AUX
cana-1587	249	63	commonly	commonly	ADV
cana-1587	249	64	known	know	VERB
cana-1587	249	65	as	as	ADP
cana-1587	249	66	the	the	DET
cana-1587	249	67	tail	tail	NOUN
cana-1587	249	68	area	area	NOUN
cana-1587	249	69	influence	influence	NOUN
cana-1587	249	70	function	function	NOUN
cana-1587	249	71	[	[	X
cana-1587	249	72	15	15	NUM
cana-1587	249	73	]	]	PUNCT
cana-1587	249	74	.	.	PUNCT
cana-1587	250	1	this	this	DET
cana-1587	250	2	function	function	NOUN
cana-1587	250	3	has	have	VERB
cana-1587	250	4	a	a	DET
cana-1587	250	5	specific	specific	ADJ
cana-1587	250	6	definition	definition	NOUN
cana-1587	250	7	.	.	PUNCT
cana-1587	251	1	taif	taif	PROPN
cana-1587	251	2	(	(	PUNCT
cana-1587	251	3	𝑥	𝑥	PROPN
cana-1587	251	4	+	+	NUM
cana-1587	251	5	1	1	NUM
cana-1587	251	6	;	;	PUNCT
cana-1587	251	7	𝑡	𝑡	NOUN
cana-1587	251	8	+	+	PROPN
cana-1587	251	9	1	1	NUM
cana-1587	251	10	;	;	PUNCT
cana-1587	251	11	ψ𝑛+1	ψ𝑛+1	NUM
cana-1587	251	12	,	,	PUNCT
cana-1587	251	13	λ	λ	X
cana-1587	251	14	+	+	NOUN
cana-1587	251	15	1	1	X
cana-1587	251	16	)	)	PUNCT
cana-1587	251	17	=	=	SYM
cana-1587	251	18	∂	∂	NUM
cana-1587	251	19	∂휀	∂휀	PROPN
cana-1587	251	20	kκ𝑗,𝑥{ψ𝑛+1	kκ𝑗,𝑥{ψ𝑛+1	NOUN
cana-1587	251	21	>	>	X
cana-1587	251	22	𝑡	𝑡	PROPN
cana-1587	251	23	+	+	PROPN
cana-1587	251	24	1}|	1}|	NUM
cana-1587	251	25	κ=0	κ=0	NOUN
cana-1587	251	26	∀x	∀x	PUNCT
cana-1587	251	27	∈ℝ	∈ℝ	NOUN
cana-1587	251	28	wherein	wherein	SCONJ
cana-1587	251	29	the	the	DET
cana-1587	251	30	right	right	ADJ
cana-1587	251	31	half	half	NOUN
cana-1587	251	32	is	be	AUX
cana-1587	251	33	defined	define	VERB
cana-1587	251	34	.	.	PUNCT
cana-1587	252	1	by	by	ADP
cana-1587	252	2	replacing	replace	VERB
cana-1587	252	3	the	the	DET
cana-1587	252	4	foundation	foundation	NOUN
cana-1587	252	5	modeling	model	VERB
cana-1587	252	6	λ	λ	PROPN
cana-1587	252	7	+	+	PROPN
cana-1587	252	8	1	1	NUM
cana-1587	252	9	with	with	ADP
cana-1587	252	10	a	a	DET
cana-1587	252	11	corrupted	corrupted	ADJ
cana-1587	252	12	approach	approach	NOUN
cana-1587	252	13	,	,	PUNCT
cana-1587	252	14	the	the	DET
cana-1587	252	15	effect	effect	NOUN
cana-1587	252	16	function	function	NOUN
cana-1587	252	17	is	be	AUX
cana-1587	252	18	communications	communication	NOUN
cana-1587	252	19	on	on	ADP
cana-1587	252	20	applied	apply	VERB
cana-1587	252	21	nonlinear	nonlinear	ADJ
cana-1587	252	22	analysis	analysis	NOUN
cana-1587	252	23	issn	issn	NOUN
cana-1587	252	24	:	:	PUNCT
cana-1587	252	25	1074	1074	NUM
cana-1587	252	26	-	-	PUNCT
cana-1587	252	27	133x	133x	NUM
cana-1587	252	28	vol	vol	NOUN
cana-1587	252	29	31	31	NUM
cana-1587	252	30	no	no	NOUN
cana-1587	252	31	.	.	PUNCT
cana-1587	253	1	8s	8s	PROPN
cana-1587	253	2	(	(	PUNCT
cana-1587	253	3	2024	2024	NUM
cana-1587	253	4	)	)	PUNCT
cana-1587	253	5	767	767	NUM
cana-1587	253	6	https://internationalpubls.com	https://internationalpubls.com	NUM
cana-1587	253	7	determined	determine	VERB
cana-1587	253	8	.	.	PUNCT
cana-1587	254	1	(	(	PUNCT
cana-1587	254	2	1	1	NUM
cana-1587	254	3	−	−	NOUN
cana-1587	254	4	𝜖)(λ	𝜖)(λ	NOUN
cana-1587	254	5	+	+	NOUN
cana-1587	254	6	1	1	X
cana-1587	254	7	)	)	PUNCT
cana-1587	255	1	+	+	CCONJ
cana-1587	255	2	𝜖𝛿𝑥	𝜖𝛿𝑥	PRON
cana-1587	255	3	and	and	CCONJ
cana-1587	255	4	then	then	ADV
cana-1587	255	5	calculating	calculate	VERB
cana-1587	255	6	the	the	DET
cana-1587	255	7	initial	initial	ADJ
cana-1587	255	8	derivative	derivative	NOUN
cana-1587	255	9	at	at	ADP
cana-1587	255	10	휀	휀	NOUN
cana-1587	255	11	=	=	NOUN
cana-1587	255	12	0	0	NUM
cana-1587	255	13	.	.	PUNCT
cana-1587	256	1	here	here	ADV
cana-1587	256	2	,	,	PUNCT
cana-1587	256	3	𝛿𝑥	𝛿𝑥	PROPN
cana-1587	256	4	denotes	denote	NOUN
cana-1587	256	5	he	he	PRON
cana-1587	256	6	pattern	pattern	NOUN
cana-1587	256	7	of	of	ADP
cana-1587	256	8	distribution	distribution	NOUN
cana-1587	256	9	which	which	PRON
cana-1587	256	10	gives	give	VERB
cana-1587	256	11	x	x	PART
cana-1587	256	12	unit	unit	NOUN
cana-1587	256	13	masses	mass	VERB
cana-1587	256	14	.	.	PUNCT
cana-1587	257	1	if	if	SCONJ
cana-1587	257	2	the	the	DET
cana-1587	257	3	distributions	distribution	NOUN
cana-1587	257	4	𝐹	𝐹	PROPN
cana-1587	257	5	and	and	CCONJ
cana-1587	257	6	λ	λ	X
cana-1587	257	7	+	+	NOUN
cana-1587	257	8	1are	1are	NUM
cana-1587	257	9	sufficiently	sufficiently	ADV
cana-1587	257	10	similar	similar	ADJ
cana-1587	257	11	,	,	PUNCT
cana-1587	257	12	we	we	PRON
cana-1587	257	13	may	may	AUX
cana-1587	257	14	utilize	utilize	VERB
cana-1587	257	15	the	the	DET
cana-1587	257	16	von	von	PROPN
cana-1587	257	17	mises	mises	PROPN
cana-1587	257	18	approximation	approximation	NOUN
cana-1587	257	19	(	(	PUNCT
cana-1587	257	20	vom	vom	NOUN
cana-1587	257	21	)	)	PUNCT
cana-1587	257	22	.	.	PUNCT
cana-1587	258	1	k𝐹{ψ𝑛+1	k𝐹{ψ𝑛+1	PROPN
cana-1587	258	2	>	>	PUNCT
cana-1587	258	3	𝑡	𝑡	PROPN
cana-1587	258	4	+	+	PROPN
cana-1587	258	5	1	1	NUM
cana-1587	258	6	}	}	PUNCT
cana-1587	258	7	≃	≃	PROPN
cana-1587	258	8	kκ{ψ𝑛+1	kκ{ψ𝑛+1	PROPN
cana-1587	258	9	>	>	X
cana-1587	258	10	𝑡	𝑡	PROPN
cana-1587	259	1	+	+	PROPN
cana-1587	259	2	1	1	NUM
cana-1587	259	3	}	}	PUNCT
cana-1587	259	4	+	+	NUM
cana-1587	259	5	∫	∫	PROPN
cana-1587	259	6	taif	taif	PROPN
cana-1587	259	7	(	(	PUNCT
cana-1587	259	8	𝑥	𝑥	PROPN
cana-1587	259	9	+	+	NUM
cana-1587	259	10	1	1	NUM
cana-1587	259	11	;	;	PUNCT
cana-1587	259	12	𝑡	𝑡	NOUN
cana-1587	259	13	+	+	PROPN
cana-1587	259	14	1	1	NUM
cana-1587	259	15	;	;	PUNCT
cana-1587	259	16	ψ𝑛+1	ψ𝑛+1	NUM
cana-1587	259	17	,	,	PUNCT
cana-1587	259	18	λ	λ	PROPN
cana-1587	259	19	+	+	NOUN
cana-1587	259	20	1)𝑑𝐹(𝑥	1)𝑑𝐹(𝑥	NUM
cana-1587	259	21	+	+	NOUN
cana-1587	259	22	1	1	NUM
cana-1587	259	23	)	)	PUNCT
cana-1587	259	24	(	(	PUNCT
cana-1587	259	25	4	4	NUM
cana-1587	259	26	)	)	PUNCT
cana-1587	259	27	to	to	PART
cana-1587	259	28	calculate	calculate	VERB
cana-1587	259	29	the	the	DET
cana-1587	259	30	allocation	allocation	NOUN
cana-1587	259	31	of	of	ADP
cana-1587	259	32	variables	variable	NOUN
cana-1587	259	33	ψ𝑛+1	ψ𝑛+1	NUM
cana-1587	259	34	under	under	ADP
cana-1587	259	35	the	the	DET
cana-1587	259	36	fundamental	fundamental	ADJ
cana-1587	259	37	framework	framework	NOUN
cana-1587	259	38	employing	employ	VERB
cana-1587	259	39	a	a	DET
cana-1587	259	40	specific	specific	ADJ
cana-1587	259	41	model	model	NOUN
cana-1587	259	42	𝐹	𝐹	PROPN
cana-1587	259	43	,	,	PUNCT
cana-1587	259	44	we	we	PRON
cana-1587	259	45	utilize	utilize	VERB
cana-1587	259	46	the	the	DET
cana-1587	259	47	said	said	ADJ
cana-1587	259	48	model	model	NOUN
cana-1587	259	49	λ	λ	PROPN
cana-1587	259	50	+	+	PROPN
cana-1587	259	51	1	1	X
cana-1587	259	52	.	.	PUNCT
cana-1587	259	53	specifically	specifically	ADV
cana-1587	259	54	,	,	PUNCT
cana-1587	259	55	if	if	SCONJ
cana-1587	259	56	the	the	DET
cana-1587	259	57	model	model	NOUN
cana-1587	259	58	𝐹	𝐹	PROPN
cana-1587	259	59	is	be	AUX
cana-1587	259	60	a	a	DET
cana-1587	259	61	combination	combination	NOUN
cana-1587	259	62	of	of	ADP
cana-1587	259	63	different	different	ADJ
cana-1587	259	64	components	component	NOUN
cana-1587	259	65	𝐹	𝐹	PROPN
cana-1587	260	1	=	=	PUNCT
cana-1587	261	1	(	(	PUNCT
cana-1587	261	2	1	1	NUM
cana-1587	261	3	−	−	PART
cana-1587	261	4	λ)(λ	λ)(λ	NOUN
cana-1587	261	5	+	+	CCONJ
cana-1587	261	6	1	1	NUM
cana-1587	261	7	)	)	PUNCT
cana-1587	262	1	+	+	CCONJ
cana-1587	262	2	λ𝐻	λ𝐻	PROPN
cana-1587	262	3	,	,	PUNCT
cana-1587	262	4	the	the	DET
cana-1587	262	5	von	von	PROPN
cana-1587	262	6	mises	mises	PROPN
cana-1587	262	7	expansion	expansion	NOUN
cana-1587	262	8	is	be	AUX
cana-1587	262	9	employed	employ	VERB
cana-1587	262	10	.	.	PUNCT
cana-1587	263	1	k𝐹{ψ𝑛+1	k𝐹{ψ𝑛+1	PROPN
cana-1587	263	2	>	>	PUNCT
cana-1587	263	3	𝑡	𝑡	PROPN
cana-1587	263	4	+	+	PROPN
cana-1587	263	5	1	1	NUM
cana-1587	263	6	}	}	PUNCT
cana-1587	263	7	=	=	SYM
cana-1587	263	8	kκ{ψ𝑛+1	kκ{ψ𝑛+1	PROPN
cana-1587	263	9	>	>	X
cana-1587	263	10	𝑡	𝑡	PROPN
cana-1587	264	1	+	+	PROPN
cana-1587	264	2	1	1	NUM
cana-1587	264	3	}	}	PUNCT
cana-1587	264	4	+	+	CCONJ
cana-1587	264	5	𝜖	𝜖	PROPN
cana-1587	264	6	∫	∫	PROPN
cana-1587	264	7	taif	taif	PROPN
cana-1587	264	8	(	(	PUNCT
cana-1587	264	9	𝑥	𝑥	PROPN
cana-1587	264	10	+	+	NUM
cana-1587	264	11	1	1	NUM
cana-1587	264	12	;	;	PUNCT
cana-1587	264	13	𝑡	𝑡	NOUN
cana-1587	264	14	+	+	PROPN
cana-1587	264	15	1	1	NUM
cana-1587	264	16	;	;	PUNCT
cana-1587	264	17	ψ𝑛+1	ψ𝑛+1	NUM
cana-1587	264	18	,	,	PUNCT
cana-1587	264	19	λ	λ	PROPN
cana-1587	264	20	+	+	NOUN
cana-1587	265	1	1)𝑑𝐻(𝑥	1)𝑑𝐻(𝑥	NUM
cana-1587	265	2	+	+	CCONJ
cana-1587	265	3	1	1	NUM
cana-1587	265	4	)	)	PUNCT
cana-1587	265	5	+	+	CCONJ
cana-1587	265	6	𝑂(𝜖2	𝑂(𝜖2	ADJ
cana-1587	265	7	)	)	PUNCT
cana-1587	265	8	since	since	SCONJ
cana-1587	265	9	,	,	PUNCT
cana-1587	265	10	∫	∫	PROPN
cana-1587	265	11	taif	taif	PROPN
cana-1587	265	12	(	(	PUNCT
cana-1587	265	13	𝑥	𝑥	PROPN
cana-1587	266	1	+	+	NUM
cana-1587	266	2	1	1	NUM
cana-1587	266	3	;	;	PUNCT
cana-1587	266	4	𝑡	𝑡	NOUN
cana-1587	266	5	+	+	PROPN
cana-1587	266	6	1	1	NUM
cana-1587	266	7	;	;	PUNCT
cana-1587	266	8	ψ𝑛+1	ψ𝑛+1	NUM
cana-1587	266	9	,	,	PUNCT
cana-1587	266	10	λ	λ	PROPN
cana-1587	266	11	+	+	NOUN
cana-1587	266	12	1)𝑑(λ	1)𝑑(λ	NUM
cana-1587	266	13	+	+	NUM
cana-1587	266	14	1)(𝑥	1)(𝑥	NUM
cana-1587	266	15	)	)	PUNCT
cana-1587	266	16	=	=	NOUN
cana-1587	267	1	0	0	X
cana-1587	267	2	.	.	PUNCT
cana-1587	268	1	the	the	DET
cana-1587	268	2	approximate	approximate	ADJ
cana-1587	268	3	representation	representation	NOUN
cana-1587	268	4	of	of	ADP
cana-1587	268	5	von	von	PROPN
cana-1587	268	6	mises	mises	PROPN
cana-1587	268	7	(	(	PUNCT
cana-1587	268	8	4	4	X
cana-1587	268	9	)	)	PUNCT
cana-1587	268	10	can	can	AUX
cana-1587	268	11	subsequently	subsequently	ADV
cana-1587	268	12	be	be	AUX
cana-1587	268	13	utilized	utilize	VERB
cana-1587	268	14	.	.	PUNCT
cana-1587	269	1	k𝐹{ψ𝑛+1	k𝐹{ψ𝑛+1	PROPN
cana-1587	269	2	>	>	PUNCT
cana-1587	269	3	𝑡	𝑡	PROPN
cana-1587	269	4	+	+	PROPN
cana-1587	269	5	1	1	NUM
cana-1587	269	6	}	}	PUNCT
cana-1587	269	7	=	=	SYM
cana-1587	269	8	kκ{ψ𝑛+1	kκ{ψ𝑛+1	PROPN
cana-1587	269	9	>	>	X
cana-1587	269	10	𝑡	𝑡	PROPN
cana-1587	270	1	+	+	PROPN
cana-1587	270	2	1	1	NUM
cana-1587	270	3	}	}	PUNCT
cana-1587	270	4	+	+	CCONJ
cana-1587	270	5	𝜖	𝜖	PROPN
cana-1587	270	6	∫	∫	PROPN
cana-1587	270	7	taif	taif	PROPN
cana-1587	270	8	(	(	PUNCT
cana-1587	270	9	𝑥	𝑥	PROPN
cana-1587	270	10	+	+	NUM
cana-1587	270	11	1	1	NUM
cana-1587	270	12	;	;	PUNCT
cana-1587	270	13	𝑡	𝑡	NOUN
cana-1587	270	14	+	+	PROPN
cana-1587	270	15	1	1	NUM
cana-1587	270	16	;	;	PUNCT
cana-1587	270	17	ψ𝑛+1	ψ𝑛+1	NUM
cana-1587	270	18	,	,	PUNCT
cana-1587	270	19	λ	λ	PROPN
cana-1587	270	20	+	+	NOUN
cana-1587	271	1	1)𝑑𝐻(𝑥	1)𝑑𝐻(𝑥	NUM
cana-1587	271	2	+	+	NOUN
cana-1587	271	3	1	1	NUM
cana-1587	271	4	)	)	PUNCT
cana-1587	271	5	(	(	PUNCT
cana-1587	271	6	5	5	X
cana-1587	271	7	)	)	PUNCT
cana-1587	271	8	choose	choose	VERB
cana-1587	271	9	a	a	DET
cana-1587	271	10	value	value	NOUN
cana-1587	271	11	that	that	PRON
cana-1587	271	12	allows	allow	VERB
cana-1587	271	13	us	we	PRON
cana-1587	271	14	to	to	PART
cana-1587	271	15	determine	determine	VERB
cana-1587	271	16	the	the	DET
cana-1587	271	17	probability	probability	NOUN
cana-1587	271	18	of	of	ADP
cana-1587	271	19	the	the	DET
cana-1587	271	20	tail	tail	NOUN
cana-1587	271	21	of	of	ADP
cana-1587	271	22	the	the	DET
cana-1587	271	23	primary	primary	ADJ
cana-1587	271	24	term	term	NOUN
cana-1587	271	25	k𝐶{ψ𝑛+1	k𝐶{ψ𝑛+1	PROPN
cana-1587	271	26	>	>	X
cana-1587	271	27	2	2	NUM
cana-1587	271	28	}	}	PUNCT
cana-1587	271	29	.	.	PUNCT
cana-1587	272	1	this	this	DET
cana-1587	272	2	type	type	NOUN
cana-1587	272	3	of	of	ADP
cana-1587	272	4	distribution	distribution	NOUN
cana-1587	272	5	λ	λ	NOUN
cana-1587	272	6	+	+	CCONJ
cana-1587	272	7	1	1	NUM
cana-1587	272	8	is	be	AUX
cana-1587	272	9	referred	refer	VERB
cana-1587	272	10	to	to	ADP
cana-1587	272	11	as	as	ADP
cana-1587	272	12	the	the	DET
cana-1587	272	13	pivotal	pivotal	ADJ
cana-1587	272	14	distribution	distribution	NOUN
cana-1587	272	15	.	.	PUNCT
cana-1587	273	1	additionally	additionally	ADV
cana-1587	273	2	,	,	PUNCT
cana-1587	273	3	it	it	PRON
cana-1587	273	4	is	be	AUX
cana-1587	273	5	important	important	ADJ
cana-1587	273	6	to	to	PART
cana-1587	273	7	note	note	VERB
cana-1587	273	8	crucial	crucial	ADJ
cana-1587	273	9	distribution	distribution	NOUN
cana-1587	273	10	's	's	PART
cana-1587	273	11	taif	taif	NOUN
cana-1587	273	12	is	be	AUX
cana-1587	273	13	additionally	additionally	ADV
cana-1587	273	14	computed	compute	VERB
cana-1587	273	15	.	.	PUNCT
cana-1587	274	1	3.3	3.3	NUM
cana-1587	274	2	.	.	PUNCT
cana-1587	275	1	the	the	DET
cana-1587	275	2	taif	taif	PROPN
cana-1587	275	3	's	's	PART
cana-1587	275	4	saddle	saddle	NOUN
cana-1587	275	5	point	point	NOUN
cana-1587	275	6	approximation	approximation	NOUN
cana-1587	275	7	it	it	PRON
cana-1587	275	8	is	be	AUX
cana-1587	275	9	necessary	necessary	ADJ
cana-1587	275	10	to	to	PART
cana-1587	275	11	employ	employ	VERB
cana-1587	275	12	the	the	DET
cana-1587	275	13	von	von	PROPN
cana-1587	275	14	mises	mises	PROPN
cana-1587	275	15	assumption	assumption	NOUN
cana-1587	275	16	(	(	PUNCT
cana-1587	275	17	5	5	NUM
cana-1587	275	18	)	)	PUNCT
cana-1587	275	19	,	,	PUNCT
cana-1587	275	20	the	the	DET
cana-1587	275	21	purpose	purpose	NOUN
cana-1587	275	22	of	of	ADP
cana-1587	275	23	determining	determine	VERB
cana-1587	275	24	the	the	DET
cana-1587	275	25	location	location	NOUN
cana-1587	275	26	of	of	ADP
cana-1587	275	27	n	n	NOUN
cana-1587	275	28	-	-	PUNCT
cana-1587	275	29	estimators	estimator	NOUN
cana-1587	276	1	,	,	PUNCT
cana-1587	276	2	we	we	PRON
cana-1587	276	3	employ	employ	VERB
cana-1587	276	4	a	a	DET
cana-1587	276	5	saddle	saddle	NOUN
cana-1587	276	6	point	point	NOUN
cana-1587	276	7	parataxis	parataxi	VERB
cana-1587	276	8	for	for	ADP
cana-1587	276	9	the	the	DET
cana-1587	276	10	taif(𝑥	taif(𝑥	NOUN
cana-1587	276	11	+	+	NOUN
cana-1587	276	12	1	1	NUM
cana-1587	276	13	;	;	PUNCT
cana-1587	276	14	𝑡	𝑡	NOUN
cana-1587	276	15	+	+	PROPN
cana-1587	276	16	1	1	NUM
cana-1587	276	17	;	;	PUNCT
cana-1587	276	18	ψ𝑛+1	ψ𝑛+1	NUM
cana-1587	276	19	,	,	PUNCT
cana-1587	276	20	λ	λ	X
cana-1587	276	21	+	+	NOUN
cana-1587	276	22	1	1	NUM
cana-1587	276	23	)	)	PUNCT
cana-1587	276	24	by	by	ADP
cana-1587	276	25	using	use	VERB
cana-1587	276	26	formula	formula	NOUN
cana-1587	276	27	of	of	ADP
cana-1587	276	28	lugannani	lugannani	NOUN
cana-1587	276	29	and	and	CCONJ
cana-1587	276	30	rice	rice	NOUN
cana-1587	276	31	's	's	PART
cana-1587	276	32	,	,	PUNCT
cana-1587	276	33	(	(	PUNCT
cana-1587	276	34	[	[	X
cana-1587	276	35	16]-[18	16]-[18	NUM
cana-1587	276	36	]	]	PUNCT
cana-1587	276	37	)	)	PUNCT
cana-1587	276	38	.	.	PUNCT
cana-1587	277	1	the	the	DET
cana-1587	277	2	approximation	approximation	NOUN
cana-1587	277	3	that	that	PRON
cana-1587	277	4	is	be	AUX
cana-1587	277	5	presented	present	VERB
cana-1587	277	6	in	in	ADP
cana-1587	277	7	[	[	X
cana-1587	277	8	11	11	NUM
cana-1587	277	9	]	]	PUNCT
cana-1587	277	10	is	be	AUX
cana-1587	277	11	specifically	specifically	ADV
cana-1587	277	12	employed	employ	VERB
cana-1587	277	13	for	for	ADP
cana-1587	277	14	n	n	NOUN
cana-1587	277	15	-	-	PUNCT
cana-1587	277	16	estimators	estimator	NOUN
cana-1587	277	17	.	.	PUNCT
cana-1587	278	1	by	by	ADP
cana-1587	278	2	following	follow	VERB
cana-1587	278	3	the	the	DET
cana-1587	278	4	same	same	ADJ
cana-1587	278	5	calculations	calculation	NOUN
cana-1587	278	6	as	as	ADP
cana-1587	278	7	those	those	PRON
cana-1587	278	8	presented	present	VERB
cana-1587	278	9	in	in	ADP
cana-1587	278	10	[	[	X
cana-1587	278	11	18	18	NUM
cana-1587	278	12	]	]	PUNCT
cana-1587	278	13	,	,	PUNCT
cana-1587	278	14	it	it	PRON
cana-1587	278	15	can	can	AUX
cana-1587	278	16	be	be	AUX
cana-1587	278	17	inferred	infer	VERB
cana-1587	278	18	that	that	SCONJ
cana-1587	278	19	.	.	PUNCT
cana-1587	279	1	taif	taif	PROPN
cana-1587	279	2	(	(	PUNCT
cana-1587	279	3	𝑥	𝑥	PROPN
cana-1587	279	4	+	+	NUM
cana-1587	279	5	1	1	NUM
cana-1587	279	6	;	;	PUNCT
cana-1587	279	7	𝑡	𝑡	NOUN
cana-1587	279	8	+	+	PROPN
cana-1587	279	9	1	1	NUM
cana-1587	279	10	;	;	PUNCT
cana-1587	279	11	ψ𝑛+1	ψ𝑛+1	NUM
cana-1587	279	12	,	,	PUNCT
cana-1587	279	13	λ	λ	X
cana-1587	279	14	+	+	NOUN
cana-1587	279	15	1	1	X
cana-1587	279	16	)	)	PUNCT
cana-1587	279	17	=	=	SYM
cana-1587	279	18	ω(𝑠	ω(𝑠	NUM
cana-1587	279	19	)	)	PUNCT
cana-1587	279	20	ζ1	ζ1	NOUN
cana-1587	279	21	𝑛3/2	𝑛3/2	NOUN
cana-1587	279	22	(	(	PUNCT
cana-1587	279	23	𝑒w0θ(𝑥+1,𝑡+1	𝑒w0θ(𝑥+1,𝑡+1	NOUN
cana-1587	279	24	)	)	PUNCT
cana-1587	279	25	∫	∫	PROPN
cana-1587	279	26	𝑒w0θ(𝑦,𝑑+1)𝑑(𝛬	𝑒w0θ(𝑦,𝑑+1)𝑑(𝛬	PROPN
cana-1587	280	1	+	+	CCONJ
cana-1587	280	2	1)(𝑦	1)(𝑦	NUM
cana-1587	280	3	+	+	NOUN
cana-1587	280	4	1	1	NUM
cana-1587	280	5	)	)	PUNCT
cana-1587	280	6	−	−	NUM
cana-1587	280	7	2	2	NUM
cana-1587	280	8	)	)	PUNCT
cana-1587	281	1	+	+	NOUN
cana-1587	281	2	𝑂(𝑛1/2	𝑂(𝑛1/2	ADJ
cana-1587	281	3	)	)	PUNCT
cana-1587	281	4	(	(	PUNCT
cana-1587	281	5	6	6	X
cana-1587	281	6	)	)	PUNCT
cana-1587	281	7	the	the	DET
cana-1587	281	8	position	position	NOUN
cana-1587	281	9	of	of	ADP
cana-1587	281	10	the	the	DET
cana-1587	281	11	densities	density	NOUN
cana-1587	281	12	function	function	VERB
cana-1587	281	13	ω	ω	NUM
cana-1587	281	14	of	of	ADP
cana-1587	281	15	the	the	DET
cana-1587	281	16	conventional	conventional	ADJ
cana-1587	281	17	typical	typical	ADJ
cana-1587	281	18	distribution	distribution	NOUN
cana-1587	281	19	is	be	AUX
cana-1587	281	20	investigated	investigate	VERB
cana-1587	281	21	,	,	PUNCT
cana-1587	281	22	as	as	SCONJ
cana-1587	281	23	are	be	AUX
cana-1587	281	24	the	the	DET
cana-1587	281	25	functional	functional	ADJ
cana-1587	281	26	analysis	analysis	NOUN
cana-1587	281	27	𝑠	𝑠	PROPN
cana-1587	281	28	and	and	CCONJ
cana-1587	281	29	ζ1	ζ1	PROPN
cana-1587	281	30	.	.	PUNCT
cana-1587	282	1	𝑠	𝑠	X
cana-1587	282	2	=	=	PUNCT
cana-1587	282	3	√−4𝑛𝛨(w0	√−4𝑛𝛨(w0	ADJ
cana-1587	282	4	+	+	ADJ
cana-1587	282	5	1	1	NUM
cana-1587	282	6	,	,	PUNCT
cana-1587	282	7	𝑡	𝑡	PROPN
cana-1587	282	8	+	+	NOUN
cana-1587	282	9	1	1	X
cana-1587	282	10	)	)	PUNCT
cana-1587	282	11	λ1	λ1	ADJ
cana-1587	282	12	=	=	PUNCT
cana-1587	282	13	𝑧0√η′′(w0	𝑧0√η′′(w0	PROPN
cana-1587	282	14	+	+	CCONJ
cana-1587	282	15	1	1	NUM
cana-1587	282	16	,	,	PUNCT
cana-1587	282	17	𝑡	𝑡	PROPN
cana-1587	282	18	+	+	NOUN
cana-1587	282	19	1	1	NUM
cana-1587	282	20	)	)	PUNCT
cana-1587	282	21	and	and	CCONJ
cana-1587	282	22	h(τ	h(τ	PROPN
cana-1587	283	1	+	+	NUM
cana-1587	283	2	1	1	NUM
cana-1587	283	3	,	,	PUNCT
cana-1587	283	4	𝑡	𝑡	PROPN
cana-1587	283	5	+	+	NOUN
cana-1587	283	6	1	1	NUM
cana-1587	283	7	)	)	PUNCT
cana-1587	283	8	=	=	VERB
cana-1587	283	9	log	log	PROPN
cana-1587	283	10	∫	∫	PROPN
cana-1587	283	11	  	  	SPACE
cana-1587	283	12	∞	∞	PROPN
cana-1587	283	13	−∞	−∞	ADP
cana-1587	283	14	𝑒(τ+1)θ(y+1,𝑡+1)𝑑(𝛬	𝑒(τ+1)θ(y+1,𝑡+1)𝑑(𝛬	NOUN
cana-1587	283	15	+	+	NUM
cana-1587	283	16	1)(𝑦	1)(𝑦	NUM
cana-1587	283	17	+	+	NOUN
cana-1587	283	18	1	1	NUM
cana-1587	283	19	)	)	PUNCT
cana-1587	283	20	the	the	DET
cana-1587	283	21	cumulative	cumulative	ADJ
cana-1587	283	22	generating	generating	NOUN
cana-1587	283	23	function	function	NOUN
cana-1587	283	24	of	of	ADP
cana-1587	283	25	the	the	DET
cana-1587	283	26	distribution	distribution	NOUN
cana-1587	283	27	(	(	PUNCT
cana-1587	283	28	𝛬	𝛬	NOUN
cana-1587	283	29	+	+	NOUN
cana-1587	283	30	1	1	NUM
cana-1587	283	31	)	)	PUNCT
cana-1587	283	32	;	;	PUNCT
cana-1587	283	33	h′′(τ	h′′(τ	NOUN
cana-1587	283	34	+	+	NOUN
cana-1587	283	35	1	1	NUM
cana-1587	283	36	,	,	PUNCT
cana-1587	283	37	𝑡	𝑡	PROPN
cana-1587	283	38	+	+	PROPN
cana-1587	283	39	1)is	1)is	NUM
cana-1587	283	40	represented	represent	VERB
cana-1587	283	41	by	by	ADP
cana-1587	283	42	the	the	DET
cana-1587	283	43	second	second	ADJ
cana-1587	283	44	partial	partial	ADJ
cana-1587	283	45	derivative	derivative	NOUN
cana-1587	283	46	of	of	ADP
cana-1587	283	47	the	the	DET
cana-1587	283	48	function	function	NOUN
cana-1587	283	49	h(τ	h(τ	PROPN
cana-1587	284	1	+	+	NUM
cana-1587	284	2	1	1	NUM
cana-1587	284	3	,	,	PUNCT
cana-1587	284	4	𝑡	𝑡	PROPN
cana-1587	284	5	+	+	NOUN
cana-1587	284	6	1	1	NUM
cana-1587	284	7	)	)	PUNCT
cana-1587	284	8	with	with	ADP
cana-1587	284	9	respect	respect	NOUN
cana-1587	284	10	to	to	ADP
cana-1587	284	11	the	the	DET
cana-1587	284	12	first	first	ADJ
cana-1587	284	13	variable	variable	NOUN
cana-1587	284	14	τ	τ	X
cana-1587	285	1	+	+	PROPN
cana-1587	285	2	1	1	NUM
cana-1587	285	3	;	;	PUNCT
cana-1587	285	4	and	and	CCONJ
cana-1587	285	5	communications	communication	NOUN
cana-1587	285	6	on	on	ADP
cana-1587	285	7	applied	apply	VERB
cana-1587	285	8	nonlinear	nonlinear	ADJ
cana-1587	285	9	analysis	analysis	NOUN
cana-1587	285	10	issn	issn	NOUN
cana-1587	285	11	:	:	PUNCT
cana-1587	285	12	1074	1074	NUM
cana-1587	285	13	-	-	PUNCT
cana-1587	285	14	133x	133x	NUM
cana-1587	285	15	vol	vol	NOUN
cana-1587	285	16	31	31	NUM
cana-1587	285	17	no	no	NOUN
cana-1587	285	18	.	.	PUNCT
cana-1587	286	1	8s	8s	PROPN
cana-1587	286	2	(	(	PUNCT
cana-1587	286	3	2024	2024	NUM
cana-1587	286	4	)	)	PUNCT
cana-1587	286	5	768	768	NUM
cana-1587	286	6	https://internationalpubls.com	https://internationalpubls.com	NUM
cana-1587	286	7	w0	w0	PROPN
cana-1587	286	8	.	.	PUNCT
cana-1587	287	1	additionally	additionally	ADV
cana-1587	287	2	,	,	PUNCT
cana-1587	287	3	the	the	DET
cana-1587	287	4	saddle	saddle	NOUN
cana-1587	287	5	point	point	NOUN
cana-1587	287	6	,	,	PUNCT
cana-1587	287	7	which	which	PRON
cana-1587	287	8	refers	refer	VERB
cana-1587	287	9	to	to	ADP
cana-1587	287	10	the	the	DET
cana-1587	287	11	solution	solution	NOUN
cana-1587	287	12	of	of	ADP
cana-1587	287	13	the	the	DET
cana-1587	287	14	saddle	saddle	NOUN
cana-1587	287	15	point	point	NOUN
cana-1587	287	16	equation	equation	NOUN
cana-1587	287	17	,	,	PUNCT
cana-1587	287	18	is	be	AUX
cana-1587	287	19	also	also	ADV
cana-1587	287	20	denoted	denote	VERB
cana-1587	287	21	.	.	PUNCT
cana-1587	288	1	h′(w0	h′(w0	PROPN
cana-1587	288	2	+	+	CCONJ
cana-1587	288	3	1	1	NUM
cana-1587	288	4	,	,	PUNCT
cana-1587	288	5	𝑡	𝑡	PROPN
cana-1587	288	6	+	+	NOUN
cana-1587	288	7	1	1	NUM
cana-1587	288	8	)	)	PUNCT
cana-1587	288	9	=	=	SYM
cana-1587	288	10	∫	∫	PROPN
cana-1587	288	11	  	  	SPACE
cana-1587	288	12	∞	∞	PROPN
cana-1587	288	13	−∞	−∞	ADP
cana-1587	288	14	𝑒w0θ(y+1,𝑡+1)θ(y	𝑒w0θ(y+1,𝑡+1)θ(y	NOUN
cana-1587	288	15	+	+	CCONJ
cana-1587	288	16	1	1	NUM
cana-1587	288	17	,	,	PUNCT
cana-1587	288	18	𝑡	𝑡	PROPN
cana-1587	288	19	+	+	NOUN
cana-1587	288	20	1)𝑑(𝛬	1)𝑑(𝛬	NUM
cana-1587	288	21	+	+	NUM
cana-1587	288	22	1)(𝑦	1)(𝑦	NUM
cana-1587	288	23	+	+	NOUN
cana-1587	288	24	1	1	NUM
cana-1587	288	25	)	)	PUNCT
cana-1587	288	26	=	=	SYM
cana-1587	288	27	0	0	X
cana-1587	288	28	.	.	PUNCT
cana-1587	289	1	by	by	ADP
cana-1587	289	2	substituting	substitute	VERB
cana-1587	289	3	we	we	PRON
cana-1587	289	4	may	may	AUX
cana-1587	289	5	get	get	VERB
cana-1587	289	6	the	the	DET
cana-1587	289	7	vom+sad	vom+sad	ADJ
cana-1587	289	8	approximations	approximation	NOUN
cana-1587	289	9	over	over	ADP
cana-1587	289	10	the	the	DET
cana-1587	289	11	range	range	NOUN
cana-1587	289	12	of	of	ADP
cana-1587	289	13	the	the	DET
cana-1587	289	14	n	n	NOUN
cana-1587	289	15	-	-	PUNCT
cana-1587	289	16	estimator	estimator	NOUN
cana-1587	289	17	by	by	ADP
cana-1587	289	18	combining	combine	VERB
cana-1587	289	19	the	the	DET
cana-1587	289	20	sad	sad	ADJ
cana-1587	289	21	approximations	approximation	NOUN
cana-1587	289	22	(	(	PUNCT
cana-1587	289	23	6	6	NUM
cana-1587	289	24	)	)	PUNCT
cana-1587	289	25	with	with	ADP
cana-1587	289	26	the	the	DET
cana-1587	289	27	vom	vom	NOUN
cana-1587	289	28	approach	approach	NOUN
cana-1587	289	29	(	(	PUNCT
cana-1587	289	30	5	5	NUM
cana-1587	289	31	)	)	PUNCT
cana-1587	289	32	.	.	PUNCT
cana-1587	290	1	ψ𝑛+1(𝑋1	ψ𝑛+1(𝑋1	PROPN
cana-1587	290	2	,	,	PUNCT
cana-1587	290	3	…	…	PUNCT
cana-1587	290	4	,	,	PUNCT
cana-1587	290	5	𝑋𝑛+1	𝑋𝑛+1	NOUN
cana-1587	290	6	)	)	PUNCT
cana-1587	290	7	,	,	PUNCT
cana-1587	290	8	under	under	ADP
cana-1587	290	9	the	the	DET
cana-1587	290	10	assumption	assumption	NOUN
cana-1587	290	11	that	that	SCONJ
cana-1587	290	12	𝑋𝑖	𝑋𝑖	PROPN
cana-1587	290	13	≡	≡	PROPN
cana-1587	290	14	𝐹	𝐹	PROPN
cana-1587	291	1	=	=	PRON
cana-1587	292	1	(	(	PUNCT
cana-1587	292	2	1	1	NUM
cana-1587	292	3	−	−	NOUN
cana-1587	292	4	𝜖)(𝛬	𝜖)(𝛬	NOUN
cana-1587	292	5	+	+	CCONJ
cana-1587	292	6	1	1	X
cana-1587	292	7	)	)	PUNCT
cana-1587	293	1	+	+	CCONJ
cana-1587	293	2	𝜖𝐻.	𝜖𝐻.	ADJ
cana-1587	293	3	k𝐹{ψ𝑛+1	k𝐹{ψ𝑛+1	PROPN
cana-1587	293	4	>	>	PUNCT
cana-1587	293	5	𝑡	𝑡	PROPN
cana-1587	293	6	+	+	PROPN
cana-1587	293	7	1	1	NUM
cana-1587	293	8	}	}	PUNCT
cana-1587	293	9	≃	≃	VERB
cana-1587	293	10	k(𝛬+1){ψ𝑛+1	k(𝛬+1){ψ𝑛+1	PROPN
cana-1587	293	11	>	>	PUNCT
cana-1587	293	12	𝑡	𝑡	PROPN
cana-1587	293	13	+	+	PROPN
cana-1587	293	14	1	1	NUM
cana-1587	293	15	}	}	PUNCT
cana-1587	293	16	+	+	CCONJ
cana-1587	293	17	𝜖	𝜖	PRON
cana-1587	293	18	ω(𝑠	ω(𝑠	ADJ
cana-1587	293	19	)	)	PUNCT
cana-1587	293	20	ζ1	ζ1	NOUN
cana-1587	293	21	√𝑛	√𝑛	ADP
cana-1587	293	22	+	+	CCONJ
cana-1587	293	23	1	1	NUM
cana-1587	293	24	(	(	PUNCT
cana-1587	293	25	∫	∫	PROPN
cana-1587	293	26	𝑒w0θ(x+1,𝑡+1)𝑑𝐻(𝑥	𝑒w0θ(x+1,𝑡+1)𝑑𝐻(𝑥	PROPN
cana-1587	293	27	+	+	CCONJ
cana-1587	293	28	1	1	X
cana-1587	293	29	)	)	PUNCT
cana-1587	293	30	∫	∫	PROPN
cana-1587	293	31	𝑒w0θ(y+1,𝑡+1)𝑑(𝛬	𝑒w0θ(y+1,𝑡+1)𝑑(𝛬	PROPN
cana-1587	294	1	+	+	CCONJ
cana-1587	294	2	1)(𝑦	1)(𝑦	NUM
cana-1587	294	3	+	+	CCONJ
cana-1587	294	4	1	1	NUM
cana-1587	294	5	)	)	PUNCT
cana-1587	294	6	−	−	PROPN
cana-1587	294	7	1	1	NUM
cana-1587	294	8	)	)	PUNCT
cana-1587	294	9	(	(	PUNCT
cana-1587	294	10	7	7	X
cana-1587	294	11	)	)	PUNCT
cana-1587	294	12	if	if	SCONJ
cana-1587	294	13	both	both	PRON
cana-1587	294	14	distributions	distribution	VERB
cana-1587	294	15	f	f	PROPN
cana-1587	294	16	and	and	CCONJ
cana-1587	294	17	(	(	PUNCT
cana-1587	294	18	𝛬	𝛬	NOUN
cana-1587	294	19	+	+	NOUN
cana-1587	294	20	1	1	NUM
cana-1587	294	21	)	)	PUNCT
cana-1587	294	22	are	be	AUX
cana-1587	294	23	close	close	ADJ
cana-1587	294	24	together	together	ADV
cana-1587	294	25	,	,	PUNCT
cana-1587	294	26	the	the	DET
cana-1587	294	27	vom+sad	vom+sad	ADJ
cana-1587	294	28	approximations	approximation	NOUN
cana-1587	294	29	are	be	AUX
cana-1587	294	30	going	go	VERB
cana-1587	294	31	to	to	PART
cana-1587	294	32	be	be	AUX
cana-1587	294	33	accurate	accurate	ADJ
cana-1587	294	34	.	.	PUNCT
cana-1587	295	1	however	however	ADV
cana-1587	295	2	,	,	PUNCT
cana-1587	295	3	in	in	ADP
cana-1587	295	4	instances	instance	NOUN
cana-1587	295	5	where	where	SCONJ
cana-1587	295	6	this	this	DET
cana-1587	295	7	condition	condition	NOUN
cana-1587	295	8	is	be	AUX
cana-1587	295	9	not	not	PART
cana-1587	295	10	met	meet	VERB
cana-1587	295	11	,	,	PUNCT
cana-1587	295	12	it	it	PRON
cana-1587	295	13	is	be	AUX
cana-1587	295	14	possible	possible	ADJ
cana-1587	295	15	to	to	PART
cana-1587	295	16	employ	employ	VERB
cana-1587	295	17	an	an	DET
cana-1587	295	18	iterative	iterative	NOUN
cana-1587	295	19	procedure	procedure	NOUN
cana-1587	295	20	,	,	PUNCT
cana-1587	295	21	as	as	SCONJ
cana-1587	295	22	elucidated	elucidate	VERB
cana-1587	295	23	in	in	ADP
cana-1587	295	24	references	reference	NOUN
cana-1587	295	25	[	[	X
cana-1587	295	26	19	19	NUM
cana-1587	295	27	-	-	SYM
cana-1587	295	28	21	21	NUM
cana-1587	295	29	]	]	PUNCT
cana-1587	295	30	,	,	PUNCT
cana-1587	295	31	by	by	ADP
cana-1587	295	32	taking	take	VERB
cana-1587	295	33	into	into	ADP
cana-1587	295	34	account	account	NOUN
cana-1587	295	35	the	the	DET
cana-1587	295	36	intermediate	intermediate	ADJ
cana-1587	295	37	distributions	distribution	NOUN
cana-1587	295	38	between	between	ADP
cana-1587	295	39	𝐹	𝐹	PROPN
cana-1587	295	40	and	and	CCONJ
cana-1587	295	41	(	(	PUNCT
cana-1587	295	42	𝛬	𝛬	NOUN
cana-1587	295	43	+	+	NOUN
cana-1587	295	44	1	1	NUM
cana-1587	295	45	)	)	PUNCT
cana-1587	295	46	.	.	PUNCT
cana-1587	296	1	4	4	X
cana-1587	296	2	.	.	X
cana-1587	296	3	the	the	DET
cana-1587	296	4	n	n	NUM
cana-1587	296	5	-	-	PUNCT
cana-1587	296	6	moments	moment	NOUN
cana-1587	296	7	estimation	estimation	NOUN
cana-1587	296	8	technique	technique	NOUN
cana-1587	296	9	using	use	VERB
cana-1587	296	10	a	a	DET
cana-1587	296	11	sample	sample	NOUN
cana-1587	296	12	distribution	distribution	NOUN
cana-1587	296	13	not	not	PART
cana-1587	296	14	all	all	PRON
cana-1587	296	15	of	of	ADP
cana-1587	296	16	the	the	DET
cana-1587	296	17	estimators	estimator	NOUN
cana-1587	296	18	for	for	ADP
cana-1587	296	19	the	the	DET
cana-1587	296	20	cross	cross	NOUN
cana-1587	296	21	-	-	ADJ
cana-1587	296	22	variogram	variogram	NOUN
cana-1587	296	23	are	be	AUX
cana-1587	296	24	robust	robust	ADJ
cana-1587	296	25	.	.	PUNCT
cana-1587	297	1	an	an	DET
cana-1587	297	2	example	example	NOUN
cana-1587	297	3	of	of	ADP
cana-1587	297	4	this	this	PRON
cana-1587	297	5	is	be	AUX
cana-1587	297	6	the	the	DET
cana-1587	297	7	conventional	conventional	ADJ
cana-1587	297	8	approach	approach	NOUN
cana-1587	297	9	of	of	ADP
cana-1587	297	10	moment	moment	NOUN
cana-1587	297	11	estimation	estimation	NOUN
cana-1587	297	12	2ξ𝑖	2ξ𝑖	ADJ
cana-1587	297	13	�	�	PROPN
cana-1587	297	14	̂	̂	VERB
cana-1587	297	15	�	�	PROPN
cana-1587	297	16	(	(	PUNCT
cana-1587	297	17	k	k	NOUN
cana-1587	297	18	)	)	PUNCT
cana-1587	297	19	,	,	PUNCT
cana-1587	297	20	which	which	PRON
cana-1587	297	21	lacks	lack	VERB
cana-1587	297	22	robustness	robustness	NOUN
cana-1587	297	23	due	due	ADP
cana-1587	297	24	to	to	ADP
cana-1587	297	25	its	its	PRON
cana-1587	297	26	unbounded	unbounded	ADJ
cana-1587	297	27	score	score	NOUN
cana-1587	297	28	function	function	NOUN
cana-1587	297	29	φ(v	φ(v	ADV
cana-1587	298	1	+	+	CCONJ
cana-1587	298	2	1	1	X
cana-1587	298	3	)	)	PUNCT
cana-1587	298	4	=	=	SYM
cana-1587	298	5	𝑉	𝑉	PROPN
cana-1587	298	6	+	+	NOUN
cana-1587	299	1	1	1	X
cana-1587	299	2	.	.	PUNCT
cana-1587	299	3	nonetheless	nonetheless	ADV
cana-1587	299	4	,	,	PUNCT
cana-1587	299	5	we	we	PRON
cana-1587	299	6	can	can	AUX
cana-1587	299	7	still	still	ADV
cana-1587	299	8	calculate	calculate	VERB
cana-1587	299	9	its	its	PRON
cana-1587	299	10	vom+sad	vom+sad	ADJ
cana-1587	299	11	approximations	approximation	NOUN
cana-1587	299	12	to	to	PART
cana-1587	299	13	demonstrate	demonstrate	VERB
cana-1587	299	14	its	its	PRON
cana-1587	299	15	brittleness	brittleness	NOUN
cana-1587	299	16	.	.	PUNCT
cana-1587	300	1	additionally	additionally	ADV
cana-1587	300	2	,	,	PUNCT
cana-1587	300	3	the	the	DET
cana-1587	300	4	distribution	distribution	NOUN
cana-1587	300	5	of	of	ADP
cana-1587	300	6	this	this	DET
cana-1587	300	7	approximation	approximation	NOUN
cana-1587	300	8	can	can	AUX
cana-1587	300	9	be	be	AUX
cana-1587	300	10	valuable	valuable	ADJ
cana-1587	300	11	in	in	ADP
cana-1587	300	12	determining	determine	VERB
cana-1587	300	13	the	the	DET
cana-1587	300	14	pattern	pattern	NOUN
cana-1587	300	15	of	of	ADP
cana-1587	300	16	distribution	distribution	NOUN
cana-1587	300	17	of	of	ADP
cana-1587	300	18	various	various	ADJ
cana-1587	300	19	resilient	resilient	ADJ
cana-1587	300	20	variants	variant	NOUN
cana-1587	300	21	of	of	ADP
cana-1587	300	22	the	the	DET
cana-1587	300	23	estimation	estimation	NOUN
cana-1587	300	24	.	.	PUNCT
cana-1587	301	1	because	because	SCONJ
cana-1587	301	2	of	of	ADP
cana-1587	301	3	its	its	PRON
cana-1587	301	4	capability	capability	NOUN
cana-1587	301	5	as	as	ADP
cana-1587	301	6	an	an	DET
cana-1587	301	7	n	n	NOUN
cana-1587	301	8	-	-	PUNCT
cana-1587	301	9	estimator	estimator	NOUN
cana-1587	301	10	using	use	VERB
cana-1587	301	11	a	a	DET
cana-1587	301	12	scoring	scoring	NOUN
cana-1587	301	13	function	function	NOUN
cana-1587	301	14	φ(𝑥	φ(𝑥	PROPN
cana-1587	301	15	−	−	PROPN
cana-1587	301	16	ϑ	ϑ	X
cana-1587	301	17	+	+	NOUN
cana-1587	301	18	1	1	NUM
cana-1587	301	19	)	)	PUNCT
cana-1587	301	20	=	=	SYM
cana-1587	301	21	𝑥	𝑥	PROPN
cana-1587	301	22	−	−	PROPN
cana-1587	301	23	(	(	PUNCT
cana-1587	301	24	t	t	PROPN
cana-1587	301	25	+	+	CCONJ
cana-1587	301	26	1	1	NUM
cana-1587	301	27	)	)	PUNCT
cana-1587	301	28	,	,	PUNCT
cana-1587	301	29	we	we	PRON
cana-1587	301	30	will	will	AUX
cana-1587	301	31	employ	employ	VERB
cana-1587	301	32	the	the	DET
cana-1587	301	33	utilization	utilization	NOUN
cana-1587	301	34	of	of	ADP
cana-1587	301	35	approximation	approximation	NOUN
cana-1587	301	36	(	(	PUNCT
cana-1587	301	37	7	7	NUM
cana-1587	301	38	)	)	PUNCT
cana-1587	301	39	.	.	PUNCT
cana-1587	302	1	the	the	DET
cana-1587	302	2	primary	primary	ADJ
cana-1587	302	3	term	term	NOUN
cana-1587	302	4	of	of	ADP
cana-1587	302	5	this	this	DET
cana-1587	302	6	approximation	approximation	NOUN
cana-1587	302	7	is	be	AUX
cana-1587	302	8	calculated	calculate	VERB
cana-1587	302	9	in	in	ADP
cana-1587	302	10	relation	relation	NOUN
cana-1587	302	11	to	to	ADP
cana-1587	302	12	a	a	DET
cana-1587	302	13	distribution	distribution	NOUN
cana-1587	302	14	(	(	PUNCT
cana-1587	302	15	λ	λ	X
cana-1587	302	16	+	+	NOUN
cana-1587	302	17	1)(𝑥	1)(𝑥	NUM
cana-1587	302	18	)	)	PUNCT
cana-1587	302	19	=	=	PUNCT
cana-1587	303	1	k𝑋(𝑥/(√2ξ𝑖𝑖	k𝑋(𝑥/(√2ξ𝑖𝑖	PROPN
cana-1587	303	2	(	(	PUNCT
cana-1587	303	3	k)√2ξ𝑗𝑗	k)√2ξ𝑗𝑗	PUNCT
cana-1587	303	4	(	(	PUNCT
cana-1587	303	5	k	k	NOUN
cana-1587	303	6	)	)	PUNCT
cana-1587	303	7	)	)	PUNCT
cana-1587	303	8	,	,	PUNCT
cana-1587	303	9	where	where	SCONJ
cana-1587	303	10	k𝑋	k𝑋	NOUN
cana-1587	303	11	denotes	denote	VERB
cana-1587	303	12	the	the	DET
cana-1587	303	13	cumulative	cumulative	ADJ
cana-1587	303	14	distribution	distribution	NOUN
cana-1587	303	15	function	function	NOUN
cana-1587	303	16	corresponding	correspond	VERB
cana-1587	303	17	to	to	ADP
cana-1587	303	18	the	the	DET
cana-1587	303	19	probability	probability	NOUN
cana-1587	303	20	density	density	NOUN
cana-1587	303	21	function	function	VERB
cana-1587	303	22	𝑝𝑋.	𝑝𝑋.	NOUN
cana-1587	303	23	consequently	consequently	ADV
cana-1587	303	24	,	,	PUNCT
cana-1587	303	25	the	the	DET
cana-1587	303	26	principal	principal	ADJ
cana-1587	303	27	term	term	NOUN
cana-1587	303	28	in	in	ADP
cana-1587	303	29	(	(	PUNCT
cana-1587	303	30	7	7	X
cana-1587	303	31	)	)	PUNCT
cana-1587	303	32	defined	define	VERB
cana-1587	303	33	as	as	ADP
cana-1587	303	34	:	:	PUNCT
cana-1587	303	35	k(λ+1){2𝛾𝑖	k(λ+1){2𝛾𝑖	PROPN
cana-1587	303	36	�	�	PROPN
cana-1587	303	37	̂	̂	NOUN
cana-1587	303	38	�	�	NOUN
cana-1587	303	39	(k	(k	NOUN
cana-1587	303	40	)	)	PUNCT
cana-1587	303	41	>	>	X
cana-1587	303	42	𝑡	𝑡	PROPN
cana-1587	304	1	+	+	PROPN
cana-1587	304	2	1	1	NUM
cana-1587	304	3	}	}	PUNCT
cana-1587	304	4	=	=	SYM
cana-1587	304	5	𝐾	𝐾	NOUN
cana-1587	304	6	{	{	PUNCT
cana-1587	304	7	1	1	NUM
cana-1587	304	8	𝑁ℎ	𝑁ℎ	NOUN
cana-1587	304	9	∑	∑	PUNCT
cana-1587	304	10	  	  	SPACE
cana-1587	304	11	𝑁ℎ	𝑁ℎ	NOUN
cana-1587	304	12	𝑠=1	𝑠=1	PUNCT
cana-1587	304	13	 	 	SPACE
cana-1587	305	1	𝑋𝑠	𝑋𝑠	PROPN
cana-1587	305	2	>	>	PUNCT
cana-1587	305	3	𝑡	𝑡	PROPN
cana-1587	305	4	+	+	PROPN
cana-1587	305	5	1	1	NUM
cana-1587	305	6	}	}	PUNCT
cana-1587	305	7	=	=	SYM
cana-1587	305	8	k(λ+1	k(λ+1	NOUN
cana-1587	305	9	)	)	PUNCT
cana-1587	305	10	{	{	PUNCT
cana-1587	305	11	1	1	NUM
cana-1587	305	12	𝑁k	𝑁k	PROPN
cana-1587	305	13	∑	∑	PUNCT
cana-1587	305	14	  	  	SPACE
cana-1587	305	15	𝑁k	𝑁k	PROPN
cana-1587	305	16	𝑠=1	𝑠=1	PUNCT
cana-1587	305	17	 	 	SPACE
cana-1587	305	18	ω𝑠	ω𝑠	NOUN
cana-1587	305	19	𝑗	𝑗	INTJ
cana-1587	305	20	ω𝑠	ω𝑠	NOUN
cana-1587	305	21	𝑗	𝑗	INTJ
cana-1587	305	22	>	>	X
cana-1587	305	23	𝑡	𝑡	PROPN
cana-1587	305	24	+	+	PROPN
cana-1587	305	25	1	1	NUM
cana-1587	305	26	}	}	PUNCT
cana-1587	305	27	=	=	SYM
cana-1587	305	28	k(λ+1	k(λ+1	NOUN
cana-1587	305	29	)	)	PUNCT
cana-1587	305	30	{	{	PUNCT
cana-1587	305	31	1	1	NUM
cana-1587	305	32	𝑁k	𝑁k	PROPN
cana-1587	305	33	∑	∑	PUNCT
cana-1587	305	34	  	  	SPACE
cana-1587	305	35	𝑁k	𝑁k	PROPN
cana-1587	305	36	𝑠=1	𝑠=1	PUNCT
cana-1587	305	37	  	  	SPACE
cana-1587	305	38	ω𝑠	ω𝑠	NOUN
cana-1587	305	39	𝑖	𝑖	SYM
cana-1587	305	40	√2ξ𝑖𝑖	√2ξ𝑖𝑖	PROPN
cana-1587	305	41	(	(	PUNCT
cana-1587	305	42	k	k	NOUN
cana-1587	305	43	)	)	PUNCT
cana-1587	306	1	ω𝑠	ω𝑠	ADP
cana-1587	306	2	𝑗	𝑗	PRON
cana-1587	306	3	√2𝛾𝑗𝑗(k	√2𝛾𝑗𝑗(k	NOUN
cana-1587	306	4	)	)	PUNCT
cana-1587	306	5	>	>	PUNCT
cana-1587	306	6	𝑡	𝑡	PROPN
cana-1587	307	1	+	+	PROPN
cana-1587	307	2	1	1	NUM
cana-1587	307	3	√2ξ𝑖𝑖	√2ξ𝑖𝑖	ADV
cana-1587	307	4	(	(	PUNCT
cana-1587	307	5	k)√2ξjj	k)√2ξjj	PROPN
cana-1587	307	6	(	(	PUNCT
cana-1587	307	7	k	k	NOUN
cana-1587	307	8	)	)	PUNCT
cana-1587	307	9	}	}	PUNCT
cana-1587	308	1	=	=	PUNCT
cana-1587	308	2	∫	∫	PROPN
cana-1587	308	3	  	  	SPACE
cana-1587	308	4	∞	∞	PROPN
cana-1587	308	5	𝑑	𝑑	PROPN
cana-1587	308	6	 	 	SPACE
cana-1587	308	7	kx̅(𝑥)𝑑𝑥	kx̅(𝑥)𝑑𝑥	VERB
cana-1587	308	8	the	the	DET
cana-1587	308	9	distribution	distribution	NOUN
cana-1587	308	10	of	of	ADP
cana-1587	308	11	the	the	DET
cana-1587	308	12	estimator	estimator	NOUN
cana-1587	308	13	obtained	obtain	VERB
cana-1587	308	14	through	through	ADP
cana-1587	308	15	the	the	DET
cana-1587	308	16	method	method	NOUN
cana-1587	308	17	of	of	ADP
cana-1587	308	18	n	n	CCONJ
cana-1587	308	19	-	-	PUNCT
cana-1587	308	20	moments	moment	NOUN
cana-1587	308	21	approach	approach	NOUN
cana-1587	308	22	using	use	VERB
cana-1587	308	23	the	the	DET
cana-1587	308	24	sample	sample	NOUN
cana-1587	308	25	data	datum	NOUN
cana-1587	308	26	is	be	AUX
cana-1587	308	27	characterized	characterize	VERB
cana-1587	308	28	by	by	ADP
cana-1587	308	29	d	d	PROPN
cana-1587	308	30	=	=	SYM
cana-1587	308	31	(	(	PUNCT
cana-1587	308	32	t	t	PROPN
cana-1587	308	33	+	+	CCONJ
cana-1587	308	34	1)/(p	1)/(p	NUM
cana-1587	308	35	2ξ𝑖𝑖(k)q	2ξ𝑖𝑖(k)q	NUM
cana-1587	308	36	2ξjj(k	2ξjj(k	NUM
cana-1587	308	37	)	)	PUNCT
cana-1587	308	38	)	)	PUNCT
cana-1587	309	1	the	the	DET
cana-1587	309	2	probability	probability	NOUN
cana-1587	309	3	density	density	NOUN
cana-1587	309	4	function	function	NOUN
cana-1587	309	5	(	(	PUNCT
cana-1587	309	6	pdf	pdf	NOUN
cana-1587	309	7	)	)	PUNCT
cana-1587	309	8	denoted	denote	VERB
cana-1587	309	9	by	by	ADP
cana-1587	309	10	f(x	f(x	PROPN
cana-1587	309	11	)	)	PUNCT
cana-1587	309	12	,	,	PUNCT
cana-1587	309	13	as	as	SCONJ
cana-1587	309	14	defined	define	VERB
cana-1587	309	15	in	in	ADP
cana-1587	309	16	(	(	PUNCT
cana-1587	309	17	4	4	NUM
cana-1587	309	18	)	)	PUNCT
cana-1587	309	19	.	.	PUNCT
cana-1587	310	1	this	this	PRON
cana-1587	310	2	is	be	AUX
cana-1587	310	3	because	because	SCONJ
cana-1587	310	4	the	the	DET
cana-1587	310	5	previous	previous	ADJ
cana-1587	310	6	terminal	terminal	ADJ
cana-1587	310	7	likelihood	likelihood	NOUN
cana-1587	310	8	matches	match	VERB
cana-1587	310	9	the	the	DET
cana-1587	310	10	communications	communication	NOUN
cana-1587	310	11	on	on	ADP
cana-1587	310	12	applied	apply	VERB
cana-1587	310	13	nonlinear	nonlinear	ADJ
cana-1587	310	14	analysis	analysis	NOUN
cana-1587	310	15	issn	issn	NOUN
cana-1587	310	16	:	:	PUNCT
cana-1587	310	17	1074	1074	NUM
cana-1587	310	18	-	-	PUNCT
cana-1587	310	19	133x	133x	NUM
cana-1587	310	20	vol	vol	NOUN
cana-1587	310	21	31	31	NUM
cana-1587	310	22	no	no	NOUN
cana-1587	310	23	.	.	PUNCT
cana-1587	311	1	8s	8s	PROPN
cana-1587	311	2	(	(	PUNCT
cana-1587	311	3	2024	2024	NUM
cana-1587	311	4	)	)	PUNCT
cana-1587	311	5	769	769	NUM
cana-1587	311	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-1587	311	7	sample	sample	NOUN
cana-1587	311	8	's	's	PART
cana-1587	311	9	mean	mean	NOUN
cana-1587	311	10	with	with	ADP
cana-1587	311	11	a	a	DET
cana-1587	311	12	terminal	terminal	ADJ
cana-1587	311	13	value	value	NOUN
cana-1587	311	14	.	.	PUNCT
cana-1587	312	1	obtained	obtain	VERB
cana-1587	312	2	from	from	ADP
cana-1587	312	3	multiplying	multiply	VERB
cana-1587	312	4	two	two	NUM
cana-1587	312	5	independent	independent	ADJ
cana-1587	312	6	standard	standard	ADJ
cana-1587	312	7	normal	normal	ADJ
cana-1587	312	8	distributions	distribution	NOUN
cana-1587	312	9	.	.	PUNCT
cana-1587	313	1	4.1	4.1	NUM
cana-1587	313	2	.	.	PUNCT
cana-1587	313	3	implementation	implementation	NOUN
cana-1587	313	4	of	of	ADP
cana-1587	313	5	the	the	DET
cana-1587	313	6	theoretical	theoretical	ADJ
cana-1587	313	7	outcomes	outcome	NOUN
cana-1587	313	8	through	through	ADP
cana-1587	313	9	simulations	simulation	NOUN
cana-1587	313	10	.	.	PUNCT
cana-1587	314	1	we	we	PRON
cana-1587	314	2	can	can	AUX
cana-1587	314	3	observe	observe	VERB
cana-1587	314	4	the	the	DET
cana-1587	314	5	high	high	ADJ
cana-1587	314	6	level	level	NOUN
cana-1587	314	7	of	of	ADP
cana-1587	314	8	accuracy	accuracy	NOUN
cana-1587	314	9	exhibited	exhibit	VERB
cana-1587	314	10	by	by	ADP
cana-1587	314	11	the	the	DET
cana-1587	314	12	vom+sad	vom+sad	ADJ
cana-1587	314	13	approximations	approximation	NOUN
cana-1587	314	14	in	in	ADP
cana-1587	314	15	relation	relation	NOUN
cana-1587	314	16	to	to	ADP
cana-1587	314	17	the	the	DET
cana-1587	314	18	technique	technique	NOUN
cana-1587	314	19	of	of	ADP
cana-1587	314	20	n	n	CCONJ
cana-1587	314	21	-	-	PUNCT
cana-1587	314	22	moments	moment	NOUN
cana-1587	314	23	estimation	estimation	NOUN
cana-1587	314	24	through	through	ADP
cana-1587	314	25	comprehensive	comprehensive	ADJ
cana-1587	314	26	simulation	simulation	NOUN
cana-1587	314	27	research	research	NOUN
cana-1587	314	28	,	,	PUNCT
cana-1587	314	29	even	even	ADV
cana-1587	314	30	when	when	SCONJ
cana-1587	314	31	dealing	deal	VERB
cana-1587	314	32	with	with	ADP
cana-1587	314	33	a	a	DET
cana-1587	314	34	relatively	relatively	ADV
cana-1587	314	35	small	small	ADJ
cana-1587	314	36	sample	sample	NOUN
cana-1587	314	37	size	size	NOUN
cana-1587	314	38	of	of	ADP
cana-1587	314	39	n	n	NOUN
cana-1587	314	40	=	=	SYM
cana-1587	314	41	4	4	X
cana-1587	314	42	.	.	PUNCT
cana-1587	315	1	in	in	ADP
cana-1587	315	2	this	this	DET
cana-1587	315	3	study	study	NOUN
cana-1587	315	4	,	,	PUNCT
cana-1587	315	5	we	we	PRON
cana-1587	315	6	specifically	specifically	ADV
cana-1587	315	7	focused	focus	VERB
cana-1587	315	8	on	on	ADP
cana-1587	315	9	a	a	DET
cana-1587	315	10	bivariate	bivariate	ADJ
cana-1587	315	11	normal	normal	ADJ
cana-1587	315	12	distribution	distribution	NOUN
cana-1587	315	13	with	with	ADP
cana-1587	315	14	a	a	DET
cana-1587	315	15	mean	mean	ADJ
cana-1587	315	16	vector	vector	NOUN
cana-1587	315	17	of	of	ADP
cana-1587	315	18	(	(	PUNCT
cana-1587	315	19	0	0	NUM
cana-1587	315	20	,	,	PUNCT
cana-1587	315	21	0	0	NUM
cana-1587	315	22	)	)	PUNCT
cana-1587	315	23	and	and	CCONJ
cana-1587	315	24	a	a	DET
cana-1587	315	25	covariance	covariance	NOUN
cana-1587	315	26	matrix	matrix	NOUN
cana-1587	315	27	that	that	PRON
cana-1587	315	28	resulted	result	VERB
cana-1587	315	29	in	in	ADP
cana-1587	315	30	marginal	marginal	ADJ
cana-1587	315	31	variances	variance	NOUN
cana-1587	315	32	of	of	ADP
cana-1587	315	33	0.49	0.49	NUM
cana-1587	315	34	and	and	CCONJ
cana-1587	315	35	0.81	0.81	NUM
cana-1587	315	36	,	,	PUNCT
cana-1587	315	37	as	as	ADV
cana-1587	315	38	well	well	ADV
cana-1587	315	39	as	as	ADP
cana-1587	315	40	a	a	DET
cana-1587	315	41	covariance	covariance	NOUN
cana-1587	315	42	of	of	ADP
cana-1587	315	43	0.5	0.5	NUM
cana-1587	315	44	.	.	PUNCT
cana-1587	315	45	to	to	PART
cana-1587	315	46	thoroughly	thoroughly	ADV
cana-1587	315	47	investigate	investigate	VERB
cana-1587	315	48	the	the	DET
cana-1587	315	49	performance	performance	NOUN
cana-1587	315	50	of	of	ADP
cana-1587	315	51	the	the	DET
cana-1587	315	52	approximation	approximation	NOUN
cana-1587	315	53	,	,	PUNCT
cana-1587	315	54	we	we	PRON
cana-1587	315	55	considered	consider	VERB
cana-1587	315	56	four	four	NUM
cana-1587	315	57	distinct	distinct	ADJ
cana-1587	315	58	scenarios	scenario	NOUN
cana-1587	315	59	:	:	PUNCT
cana-1587	315	60	no	no	DET
cana-1587	315	61	contamination	contamination	NOUN
cana-1587	315	62	,	,	PUNCT
cana-1587	315	63	contamination	contamination	NOUN
cana-1587	315	64	with	with	ADP
cana-1587	315	65	an	an	DET
cana-1587	315	66	e	e	NOUN
cana-1587	315	67	value	value	NOUN
cana-1587	315	68	of	of	ADP
cana-1587	315	69	0.07	0.07	NUM
cana-1587	315	70	.	.	PUNCT
cana-1587	316	1	under	under	ADP
cana-1587	316	2	these	these	DET
cana-1587	316	3	controlled	control	VERB
cana-1587	316	4	conditions	condition	NOUN
cana-1587	316	5	,	,	PUNCT
cana-1587	316	6	we	we	PRON
cana-1587	316	7	were	be	AUX
cana-1587	316	8	able	able	ADJ
cana-1587	316	9	to	to	PART
cana-1587	316	10	generate	generate	VERB
cana-1587	316	11	figure	figure	NOUN
cana-1587	316	12	1	1	NUM
cana-1587	316	13	,	,	PUNCT
cana-1587	316	14	which	which	PRON
cana-1587	316	15	clearly	clearly	ADV
cana-1587	316	16	demonstrates	demonstrate	VERB
cana-1587	316	17	the	the	DET
cana-1587	316	18	exceptional	exceptional	ADJ
cana-1587	316	19	accuracy	accuracy	NOUN
cana-1587	316	20	of	of	ADP
cana-1587	316	21	the	the	DET
cana-1587	316	22	vom+sad	vom+sad	PROPN
cana-1587	316	23	approximations	approximation	NOUN
cana-1587	316	24	,	,	PUNCT
cana-1587	316	25	particularly	particularly	ADV
cana-1587	316	26	in	in	ADP
cana-1587	316	27	the	the	DET
cana-1587	316	28	tails	tail	NOUN
cana-1587	316	29	of	of	ADP
cana-1587	316	30	the	the	DET
cana-1587	316	31	distribution	distribution	NOUN
cana-1587	316	32	.	.	PUNCT
cana-1587	317	1	these	these	DET
cana-1587	317	2	tails	tail	NOUN
cana-1587	317	3	are	be	AUX
cana-1587	317	4	of	of	ADP
cana-1587	317	5	utmost	utmost	ADJ
cana-1587	317	6	importance	importance	NOUN
cana-1587	317	7	when	when	SCONJ
cana-1587	317	8	conducting	conduct	VERB
cana-1587	317	9	tests	test	NOUN
cana-1587	317	10	and	and	CCONJ
cana-1587	317	11	constructing	construct	VERB
cana-1587	317	12	confidence	confidence	NOUN
cana-1587	317	13	intervals	interval	NOUN
cana-1587	317	14	.	.	PUNCT
cana-1587	318	1	in	in	ADP
cana-1587	318	2	table	table	NOUN
cana-1587	318	3	1	1	NUM
cana-1587	318	4	,	,	PUNCT
cana-1587	318	5	we	we	PRON
cana-1587	318	6	have	have	AUX
cana-1587	318	7	included	include	VERB
cana-1587	318	8	certain	certain	ADJ
cana-1587	318	9	values	value	NOUN
cana-1587	318	10	pertaining	pertain	VERB
cana-1587	318	11	to	to	PART
cana-1587	318	12	figure	figure	VERB
cana-1587	318	13	1	1	NUM
cana-1587	318	14	.	.	PUNCT
cana-1587	319	1	these	these	DET
cana-1587	319	2	values	value	NOUN
cana-1587	319	3	represent	represent	VERB
cana-1587	319	4	the	the	DET
cana-1587	319	5	vom+sad	vom+sad	ADJ
cana-1587	319	6	approximations	approximation	NOUN
cana-1587	319	7	as	as	ADV
cana-1587	319	8	well	well	ADV
cana-1587	319	9	as	as	ADP
cana-1587	319	10	the	the	DET
cana-1587	319	11	accurate	accurate	ADJ
cana-1587	319	12	values	value	NOUN
cana-1587	319	13	obtained	obtain	VERB
cana-1587	319	14	through	through	ADP
cana-1587	319	15	simulation	simulation	NOUN
cana-1587	319	16	.	.	PUNCT
cana-1587	320	1	if	if	SCONJ
cana-1587	320	2	we	we	PRON
cana-1587	320	3	calculate	calculate	VERB
cana-1587	320	4	the	the	DET
cana-1587	320	5	relative	relative	ADJ
cana-1587	320	6	errors	error	NOUN
cana-1587	320	7	of	of	ADP
cana-1587	320	8	the	the	DET
cana-1587	320	9	approximation	approximation	NOUN
cana-1587	320	10	,	,	PUNCT
cana-1587	320	11	expressed	express	VERB
cana-1587	320	12	as	as	ADP
cana-1587	320	13	a	a	DET
cana-1587	320	14	percentage	percentage	NOUN
cana-1587	320	15	,	,	PUNCT
cana-1587	320	16	using	use	VERB
cana-1587	320	17	the	the	DET
cana-1587	320	18	data	datum	NOUN
cana-1587	320	19	provided	provide	VERB
cana-1587	320	20	in	in	ADP
cana-1587	320	21	this	this	DET
cana-1587	320	22	table	table	NOUN
cana-1587	320	23	,	,	PUNCT
cana-1587	320	24	as	as	SCONJ
cana-1587	320	25	is	be	AUX
cana-1587	320	26	customary	customary	ADJ
cana-1587	320	27	,	,	PUNCT
cana-1587	320	28	we	we	PRON
cana-1587	320	29	can	can	AUX
cana-1587	320	30	determine	determine	VERB
cana-1587	320	31	the	the	DET
cana-1587	320	32	level	level	NOUN
cana-1587	320	33	of	of	ADP
cana-1587	320	34	accuracy	accuracy	NOUN
cana-1587	320	35	.	.	PUNCT
cana-1587	321	1	100	100	NUM
cana-1587	321	2	×	×	PROPN
cana-1587	321	3	|exact	|exact	NOUN
cana-1587	321	4	−	−	PROPN
cana-1587	321	5	approx|	approx|	NOUN
cana-1587	321	6	1	1	NUM
cana-1587	321	7	−	−	NOUN
cana-1587	321	8	exact	exact	NOUN
cana-1587	321	9	we	we	PRON
cana-1587	321	10	have	have	VERB
cana-1587	321	11	derived	derive	VERB
cana-1587	321	12	table	table	NOUN
cana-1587	321	13	2	2	NUM
cana-1587	321	14	,	,	PUNCT
cana-1587	321	15	which	which	PRON
cana-1587	321	16	presents	present	VERB
cana-1587	321	17	remarkably	remarkably	ADV
cana-1587	321	18	the	the	DET
cana-1587	321	19	approximate	approximate	ADJ
cana-1587	321	20	results	result	NOUN
cana-1587	321	21	have	have	VERB
cana-1587	321	22	modest	modest	ADJ
cana-1587	321	23	relative	relative	ADJ
cana-1587	321	24	mistakes	mistake	NOUN
cana-1587	321	25	.	.	PUNCT
cana-1587	322	1	this	this	PRON
cana-1587	322	2	is	be	AUX
cana-1587	322	3	one	one	NUM
cana-1587	322	4	of	of	ADP
cana-1587	322	5	the	the	DET
cana-1587	322	6	most	most	ADV
cana-1587	322	7	noticeable	noticeable	ADJ
cana-1587	322	8	advantages	advantage	NOUN
cana-1587	322	9	of	of	ADP
cana-1587	322	10	using	use	VERB
cana-1587	322	11	saddle	saddle	NOUN
cana-1587	322	12	point	point	NOUN
cana-1587	322	13	estimations	estimation	NOUN
cana-1587	322	14	.	.	PUNCT
cana-1587	323	1	[	[	X
cana-1587	323	2	14	14	NUM
cana-1587	323	3	]	]	PUNCT
cana-1587	323	4	.	.	PUNCT
cana-1587	324	1	ϵ	ϵ	X
cana-1587	324	2	=	=	SYM
cana-1587	324	3	0	0	PUNCT
cana-1587	325	1	ϵ	ϵ	X
cana-1587	325	2	=	=	SYM
cana-1587	325	3	0.07	0.07	NUM
cana-1587	325	4	ϵ	ϵ	X
cana-1587	325	5	=	=	PUNCT
cana-1587	325	6	0.3	0.3	NUM
cana-1587	325	7	t	t	NOUN
cana-1587	325	8	=	=	PUNCT
cana-1587	325	9	0.2	0.2	NUM
cana-1587	325	10	0.32622	0.32622	NUM
cana-1587	325	11	0.32527	0.32527	NUM
cana-1587	325	12	0.32652	0.32652	NUM
cana-1587	325	13	t	t	NOUN
cana-1587	325	14	=	=	NUM
cana-1587	325	15	0.4	0.4	NUM
cana-1587	325	16	0.24191	0.24191	NUM
cana-1587	325	17	0.24381	0.24381	NUM
cana-1587	325	18	0.32646	0.32646	NUM
cana-1587	325	19	t	t	NOUN
cana-1587	325	20	=	=	PUNCT
cana-1587	325	21	0.6	0.6	NUM
cana-1587	326	1	0.09927	0.09927	NUM
cana-1587	326	2	0.09733	0.09733	NUM
cana-1587	326	3	0.08125	0.08125	NUM
cana-1587	326	4	t	t	NOUN
cana-1587	326	5	=	=	NUM
cana-1587	326	6	0.8	0.8	NUM
cana-1587	326	7	0.05839	0.05839	NUM
cana-1587	326	8	0.04216	0.04216	NUM
cana-1587	326	9	0.03192	0.03192	NUM
cana-1587	326	10	t	t	NOUN
cana-1587	326	11	=	=	PUNCT
cana-1587	326	12	1.0	1.0	NUM
cana-1587	326	13	0.021844	0.021844	NUM
cana-1587	326	14	0.01937	0.01937	NUM
cana-1587	326	15	0.01143	0.01143	NUM
cana-1587	326	16	table	table	NOUN
cana-1587	326	17	2	2	NUM
cana-1587	326	18	.	.	PUNCT
cana-1587	327	1	the	the	DET
cana-1587	327	2	vom+sad	vom+sad	PROPN
cana-1587	327	3	approximation	approximation	NOUN
cana-1587	327	4	's	's	PART
cana-1587	327	5	relative	relative	ADJ
cana-1587	327	6	errors	error	NOUN
cana-1587	327	7	are	be	AUX
cana-1587	327	8	expressed	express	VERB
cana-1587	327	9	as	as	ADP
cana-1587	327	10	percentages	percentage	NOUN
cana-1587	327	11	.	.	PUNCT
cana-1587	328	1	4.2	4.2	NUM
cana-1587	328	2	dependability	dependability	NOUN
cana-1587	328	3	of	of	ADP
cana-1587	328	4	the	the	DET
cana-1587	328	5	technique	technique	NOUN
cana-1587	328	6	of	of	ADP
cana-1587	328	7	n	n	CCONJ
cana-1587	328	8	-	-	PUNCT
cana-1587	328	9	moments	moment	NOUN
cana-1587	328	10	-	-	PUNCT
cana-1587	328	11	estimation	estimation	NOUN
cana-1587	328	12	as	as	SCONJ
cana-1587	328	13	we	we	PRON
cana-1587	328	14	raise	raise	VERB
cana-1587	328	15	e	e	NOUN
cana-1587	328	16	or	or	CCONJ
cana-1587	328	17	g	g	NOUN
cana-1587	328	18	,	,	PUNCT
cana-1587	328	19	we	we	PRON
cana-1587	328	20	can	can	AUX
cana-1587	328	21	observe	observe	VERB
cana-1587	328	22	in	in	ADP
cana-1587	328	23	figure	figure	NOUN
cana-1587	328	24	2	2	NUM
cana-1587	328	25	that	that	SCONJ
cana-1587	328	26	the	the	DET
cana-1587	328	27	pattern	pattern	NOUN
cana-1587	328	28	of	of	ADP
cana-1587	328	29	distribution	distribution	NOUN
cana-1587	328	30	of	of	ADP
cana-1587	328	31	the	the	DET
cana-1587	328	32	ns	ns	NUM
cana-1587	328	33	-	-	PUNCT
cana-1587	328	34	moments	moment	NOUN
cana-1587	328	35	moment	moment	NOUN
cana-1587	328	36	estimation	estimation	NOUN
cana-1587	328	37	technique	technique	NOUN
cana-1587	328	38	changes	change	NOUN
cana-1587	328	39	is	be	AUX
cana-1587	328	40	method	method	NOUN
cana-1587	328	41	becoming	become	VERB
cana-1587	328	42	less	less	ADV
cana-1587	328	43	robust	robust	ADJ
cana-1587	328	44	.	.	PUNCT
cana-1587	329	1	the	the	DET
cana-1587	329	2	r	r	NOUN
cana-1587	329	3	software	software	NOUN
cana-1587	329	4	used	use	VERB
cana-1587	329	5	to	to	PART
cana-1587	329	6	produce	produce	VERB
cana-1587	329	7	create	create	VERB
cana-1587	329	8	this	this	DET
cana-1587	329	9	figure	figure	NOUN
cana-1587	329	10	can	can	AUX
cana-1587	329	11	be	be	AUX
cana-1587	329	12	found	find	VERB
cana-1587	329	13	in	in	ADP
cana-1587	329	14	the	the	DET
cana-1587	329	15	supplementary	supplementary	ADJ
cana-1587	329	16	material	material	NOUN
cana-1587	329	17	.	.	PUNCT
cana-1587	330	1	4.3	4.3	NUM
cana-1587	330	2	.	.	PUNCT
cana-1587	330	3	discussion	discussion	NOUN
cana-1587	330	4	robustness	robustness	NOUN
cana-1587	330	5	in	in	ADP
cana-1587	330	6	the	the	DET
cana-1587	330	7	context	context	NOUN
cana-1587	330	8	of	of	ADP
cana-1587	330	9	cross	cross	ADJ
cana-1587	330	10	-	-	ADJ
cana-1587	330	11	variogram	variogram	ADJ
cana-1587	330	12	estimation	estimation	NOUN
cana-1587	330	13	pertains	pertain	VERB
cana-1587	330	14	to	to	ADP
cana-1587	330	15	the	the	DET
cana-1587	330	16	capacity	capacity	NOUN
cana-1587	330	17	of	of	ADP
cana-1587	330	18	estimators	estimator	NOUN
cana-1587	330	19	to	to	PART
cana-1587	330	20	effectively	effectively	ADV
cana-1587	330	21	handle	handle	VERB
cana-1587	330	22	outliers	outlier	NOUN
cana-1587	330	23	or	or	CCONJ
cana-1587	330	24	data	datum	NOUN
cana-1587	330	25	points	point	NOUN
cana-1587	330	26	that	that	PRON
cana-1587	330	27	deviate	deviate	VERB
cana-1587	330	28	significantly	significantly	ADV
cana-1587	330	29	from	from	ADP
cana-1587	330	30	the	the	DET
cana-1587	330	31	expected	expect	VERB
cana-1587	330	32	statistical	statistical	ADJ
cana-1587	330	33	model	model	NOUN
cana-1587	330	34	.	.	PUNCT
cana-1587	331	1	the	the	DET
cana-1587	331	2	primary	primary	ADJ
cana-1587	331	3	objective	objective	NOUN
cana-1587	331	4	of	of	ADP
cana-1587	331	5	robust	robust	ADJ
cana-1587	331	6	estimators	estimator	NOUN
cana-1587	331	7	is	be	AUX
cana-1587	331	8	to	to	PART
cana-1587	331	9	minimize	minimize	VERB
cana-1587	331	10	the	the	DET
cana-1587	331	11	impact	impact	NOUN
cana-1587	331	12	of	of	ADP
cana-1587	331	13	outliers	outlier	NOUN
cana-1587	331	14	during	during	ADP
cana-1587	331	15	the	the	DET
cana-1587	331	16	estimation	estimation	NOUN
cana-1587	331	17	process	process	NOUN
cana-1587	331	18	,	,	PUNCT
cana-1587	331	19	ensuring	ensure	VERB
cana-1587	331	20	that	that	SCONJ
cana-1587	331	21	the	the	DET
cana-1587	331	22	resulting	result	VERB
cana-1587	331	23	estimates	estimate	NOUN
cana-1587	331	24	are	be	AUX
cana-1587	331	25	less	less	ADV
cana-1587	331	26	influenced	influence	VERB
cana-1587	331	27	by	by	ADP
cana-1587	331	28	extreme	extreme	ADJ
cana-1587	331	29	observations	observation	NOUN
cana-1587	331	30	.	.	PUNCT
cana-1587	332	1	communications	communication	NOUN
cana-1587	332	2	on	on	ADP
cana-1587	332	3	applied	apply	VERB
cana-1587	332	4	nonlinear	nonlinear	ADJ
cana-1587	332	5	analysis	analysis	NOUN
cana-1587	332	6	issn	issn	NOUN
cana-1587	332	7	:	:	PUNCT
cana-1587	332	8	1074	1074	NUM
cana-1587	332	9	-	-	PUNCT
cana-1587	332	10	133x	133x	NUM
cana-1587	332	11	vol	vol	NOUN
cana-1587	332	12	31	31	NUM
cana-1587	332	13	no	no	NOUN
cana-1587	332	14	.	.	PUNCT
cana-1587	333	1	8s	8s	PROPN
cana-1587	333	2	(	(	PUNCT
cana-1587	333	3	2024	2024	NUM
cana-1587	333	4	)	)	PUNCT
cana-1587	333	5	770	770	NUM
cana-1587	333	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-1587	333	7	to	to	PART
cana-1587	333	8	gain	gain	VERB
cana-1587	333	9	insights	insight	NOUN
cana-1587	333	10	into	into	ADP
cana-1587	333	11	how	how	SCONJ
cana-1587	333	12	these	these	DET
cana-1587	333	13	estimators	estimator	NOUN
cana-1587	333	14	handle	handle	VERB
cana-1587	333	15	outliers	outlier	NOUN
cana-1587	333	16	and	and	CCONJ
cana-1587	333	17	assess	assess	VERB
cana-1587	333	18	their	their	PRON
cana-1587	333	19	level	level	NOUN
cana-1587	333	20	of	of	ADP
cana-1587	333	21	robustness	robustness	NOUN
cana-1587	333	22	,	,	PUNCT
cana-1587	333	23	let	let	VERB
cana-1587	333	24	's	us	PRON
cana-1587	333	25	delve	delve	VERB
cana-1587	333	26	into	into	ADP
cana-1587	333	27	the	the	DET
cana-1587	333	28	conventional	conventional	ADJ
cana-1587	333	29	approach	approach	NOUN
cana-1587	333	30	known	know	VERB
cana-1587	333	31	as	as	ADP
cana-1587	333	32	the	the	DET
cana-1587	333	33	moments	moment	NOUN
cana-1587	333	34	estimator	estimator	NOUN
cana-1587	333	35	,	,	PUNCT
cana-1587	333	36	as	as	SCONJ
cana-1587	333	37	briefly	briefly	ADV
cana-1587	333	38	mentioned	mention	VERB
cana-1587	333	39	in	in	ADP
cana-1587	333	40	the	the	DET
cana-1587	333	41	document	document	NOUN
cana-1587	333	42	.	.	PUNCT
cana-1587	334	1	the	the	DET
cana-1587	334	2	moments	moments	PROPN
cana-1587	334	3	estimator	estimator	NOUN
cana-1587	334	4	calculates	calculate	VERB
cana-1587	334	5	the	the	DET
cana-1587	334	6	cross	cross	NOUN
cana-1587	334	7	-	-	NOUN
cana-1587	334	8	variogram	variogram	NOUN
cana-1587	334	9	by	by	ADP
cana-1587	334	10	averaging	average	VERB
cana-1587	334	11	the	the	DET
cana-1587	334	12	product	product	NOUN
cana-1587	334	13	of	of	ADP
cana-1587	334	14	differences	difference	NOUN
cana-1587	334	15	between	between	ADP
cana-1587	334	16	observations	observation	NOUN
cana-1587	334	17	at	at	ADP
cana-1587	334	18	different	different	ADJ
cana-1587	334	19	locations	location	NOUN
cana-1587	334	20	.	.	PUNCT
cana-1587	335	1	however	however	ADV
cana-1587	335	2	,	,	PUNCT
cana-1587	335	3	this	this	DET
cana-1587	335	4	estimator	estimator	NOUN
cana-1587	335	5	is	be	AUX
cana-1587	335	6	susceptible	susceptible	ADJ
cana-1587	335	7	to	to	ADP
cana-1587	335	8	outliers	outlier	NOUN
cana-1587	335	9	since	since	SCONJ
cana-1587	335	10	it	it	PRON
cana-1587	335	11	assigns	assign	VERB
cana-1587	335	12	equal	equal	ADJ
cana-1587	335	13	weight	weight	NOUN
cana-1587	335	14	to	to	ADP
cana-1587	335	15	all	all	DET
cana-1587	335	16	observations	observation	NOUN
cana-1587	335	17	,	,	PUNCT
cana-1587	335	18	including	include	VERB
cana-1587	335	19	the	the	DET
cana-1587	335	20	outliers	outlier	NOUN
cana-1587	335	21	.	.	PUNCT
cana-1587	336	1	in	in	ADP
cana-1587	336	2	contrast	contrast	NOUN
cana-1587	336	3	,	,	PUNCT
cana-1587	336	4	the	the	DET
cana-1587	336	5	research	research	NOUN
cana-1587	336	6	introduces	introduce	VERB
cana-1587	336	7	novel	novel	NOUN
cana-1587	336	8	and	and	CCONJ
cana-1587	336	9	resilient	resilient	ADJ
cana-1587	336	10	estimators	estimator	NOUN
cana-1587	336	11	specifically	specifically	ADV
cana-1587	336	12	designed	design	VERB
cana-1587	336	13	to	to	PART
cana-1587	336	14	address	address	VERB
cana-1587	336	15	the	the	DET
cana-1587	336	16	outlier	outlier	ADJ
cana-1587	336	17	issue	issue	NOUN
cana-1587	336	18	in	in	ADP
cana-1587	336	19	cross	cross	ADJ
cana-1587	336	20	-	-	ADJ
cana-1587	336	21	variogram	variogram	ADJ
cana-1587	336	22	estimation	estimation	NOUN
cana-1587	336	23	.	.	PUNCT
cana-1587	337	1	these	these	DET
cana-1587	337	2	estimators	estimator	NOUN
cana-1587	337	3	employ	employ	VERB
cana-1587	337	4	a	a	DET
cana-1587	337	5	location	location	NOUN
cana-1587	337	6	estimation	estimation	NOUN
cana-1587	337	7	method	method	NOUN
cana-1587	337	8	rather	rather	ADV
cana-1587	337	9	than	than	ADP
cana-1587	337	10	relying	rely	VERB
cana-1587	337	11	on	on	ADP
cana-1587	337	12	covariance	covariance	NOUN
cana-1587	337	13	estimation	estimation	NOUN
cana-1587	337	14	.	.	PUNCT
cana-1587	338	1	while	while	SCONJ
cana-1587	338	2	the	the	DET
cana-1587	338	3	document	document	NOUN
cana-1587	338	4	does	do	AUX
cana-1587	338	5	not	not	PART
cana-1587	338	6	provide	provide	VERB
cana-1587	338	7	detailed	detailed	ADJ
cana-1587	338	8	information	information	NOUN
cana-1587	338	9	about	about	ADP
cana-1587	338	10	these	these	DET
cana-1587	338	11	estimators	estimator	NOUN
cana-1587	338	12	,	,	PUNCT
cana-1587	338	13	they	they	PRON
cana-1587	338	14	build	build	VERB
cana-1587	338	15	upon	upon	SCONJ
cana-1587	338	16	previous	previous	ADJ
cana-1587	338	17	methodologies	methodology	NOUN
cana-1587	338	18	and	and	CCONJ
cana-1587	338	19	incorporate	incorporate	VERB
cana-1587	338	20	saddle	saddle	NOUN
cana-1587	338	21	point	point	NOUN
cana-1587	338	22	techniques	technique	NOUN
cana-1587	338	23	.	.	PUNCT
cana-1587	339	1	the	the	DET
cana-1587	339	2	robustness	robustness	NOUN
cana-1587	339	3	of	of	ADP
cana-1587	339	4	these	these	DET
cana-1587	339	5	estimators	estimator	NOUN
cana-1587	339	6	can	can	AUX
cana-1587	339	7	be	be	AUX
cana-1587	339	8	evaluated	evaluate	VERB
cana-1587	339	9	based	base	VERB
cana-1587	339	10	on	on	ADP
cana-1587	339	11	their	their	PRON
cana-1587	339	12	ability	ability	NOUN
cana-1587	339	13	to	to	PART
cana-1587	339	14	deliver	deliver	VERB
cana-1587	339	15	reliable	reliable	ADJ
cana-1587	339	16	estimates	estimate	NOUN
cana-1587	339	17	even	even	ADV
cana-1587	339	18	when	when	SCONJ
cana-1587	339	19	outliers	outlier	NOUN
cana-1587	339	20	are	be	AUX
cana-1587	339	21	present	present	ADJ
cana-1587	339	22	.	.	PUNCT
cana-1587	340	1	robust	robust	ADJ
cana-1587	340	2	estimators	estimator	NOUN
cana-1587	340	3	should	should	AUX
cana-1587	340	4	exhibit	exhibit	VERB
cana-1587	340	5	resilience	resilience	NOUN
cana-1587	340	6	to	to	ADP
cana-1587	340	7	the	the	DET
cana-1587	340	8	influence	influence	NOUN
cana-1587	340	9	of	of	ADP
cana-1587	340	10	outliers	outlier	NOUN
cana-1587	340	11	,	,	PUNCT
cana-1587	340	12	resulting	result	VERB
cana-1587	340	13	in	in	ADP
cana-1587	340	14	more	more	ADV
cana-1587	340	15	accurate	accurate	ADJ
cana-1587	340	16	and	and	CCONJ
cana-1587	340	17	stable	stable	ADJ
cana-1587	340	18	outcomes	outcome	NOUN
cana-1587	340	19	compared	compare	VERB
cana-1587	340	20	to	to	ADP
cana-1587	340	21	non	non	ADJ
cana-1587	340	22	-	-	ADJ
cana-1587	340	23	robust	robust	ADJ
cana-1587	340	24	estimators	estimator	NOUN
cana-1587	340	25	.	.	PUNCT
cana-1587	341	1	in	in	ADP
cana-1587	341	2	essence	essence	NOUN
cana-1587	341	3	,	,	PUNCT
cana-1587	341	4	these	these	DET
cana-1587	341	5	estimators	estimator	NOUN
cana-1587	341	6	should	should	AUX
cana-1587	341	7	generate	generate	VERB
cana-1587	341	8	estimates	estimate	NOUN
cana-1587	341	9	that	that	PRON
cana-1587	341	10	are	be	AUX
cana-1587	341	11	less	less	ADV
cana-1587	341	12	affected	affect	VERB
cana-1587	341	13	by	by	ADP
cana-1587	341	14	extreme	extreme	ADJ
cana-1587	341	15	values	value	NOUN
cana-1587	341	16	,	,	PUNCT
cana-1587	341	17	thereby	thereby	ADV
cana-1587	341	18	producing	produce	VERB
cana-1587	341	19	more	more	ADV
cana-1587	341	20	robust	robust	ADJ
cana-1587	341	21	and	and	CCONJ
cana-1587	341	22	dependable	dependable	ADJ
cana-1587	341	23	cross	cross	ADJ
cana-1587	341	24	-	-	ADJ
cana-1587	341	25	variogram	variogram	ADJ
cana-1587	341	26	estimates	estimate	NOUN
cana-1587	341	27	.	.	PUNCT
cana-1587	342	1	formally	formally	ADV
cana-1587	342	2	defining	define	VERB
cana-1587	342	3	robustness	robustness	NOUN
cana-1587	342	4	with	with	ADP
cana-1587	342	5	regards	regard	NOUN
cana-1587	342	6	to	to	ADP
cana-1587	342	7	cross	cross	ADJ
cana-1587	342	8	-	-	ADJ
cana-1587	342	9	variogram	variogram	ADJ
cana-1587	342	10	estimation	estimation	NOUN
cana-1587	342	11	includes	include	VERB
cana-1587	342	12	quantifying	quantify	VERB
cana-1587	342	13	an	an	DET
cana-1587	342	14	estimator	estimator	NOUN
cana-1587	342	15	's	's	PART
cana-1587	342	16	resistance	resistance	NOUN
cana-1587	342	17	to	to	ADP
cana-1587	342	18	exceptions	exception	NOUN
cana-1587	342	19	and	and	CCONJ
cana-1587	342	20	its	its	PRON
cana-1587	342	21	ability	ability	NOUN
cana-1587	342	22	to	to	PART
cana-1587	342	23	give	give	VERB
cana-1587	342	24	steady	steady	ADJ
cana-1587	342	25	and	and	CCONJ
cana-1587	342	26	accurate	accurate	ADJ
cana-1587	342	27	estimates	estimate	NOUN
cana-1587	342	28	even	even	ADV
cana-1587	342	29	within	within	ADP
cana-1587	342	30	the	the	DET
cana-1587	342	31	sight	sight	NOUN
cana-1587	342	32	of	of	ADP
cana-1587	342	33	outrageous	outrageous	ADJ
cana-1587	342	34	observations	observation	NOUN
cana-1587	342	35	.	.	PUNCT
cana-1587	343	1	this	this	PRON
cana-1587	343	2	can	can	AUX
cana-1587	343	3	be	be	AUX
cana-1587	343	4	assessed	assess	VERB
cana-1587	343	5	by	by	ADP
cana-1587	343	6	examining	examine	VERB
cana-1587	343	7	the	the	DET
cana-1587	343	8	breakdown	breakdown	ADJ
cana-1587	343	9	point	point	NOUN
cana-1587	343	10	,	,	PUNCT
cana-1587	343	11	which	which	PRON
cana-1587	343	12	addresses	address	VERB
cana-1587	343	13	the	the	DET
cana-1587	343	14	proportion	proportion	NOUN
cana-1587	343	15	of	of	ADP
cana-1587	343	16	exceptions	exception	NOUN
cana-1587	343	17	that	that	PRON
cana-1587	343	18	an	an	DET
cana-1587	343	19	estimator	estimator	NOUN
cana-1587	343	20	can	can	AUX
cana-1587	343	21	handle	handle	VERB
cana-1587	343	22	before	before	SCONJ
cana-1587	343	23	its	its	PRON
cana-1587	343	24	performance	performance	NOUN
cana-1587	343	25	significantly	significantly	ADV
cana-1587	343	26	deteriorates	deteriorate	VERB
cana-1587	343	27	.	.	PUNCT
cana-1587	344	1	a	a	DET
cana-1587	344	2	powerful	powerful	ADJ
cana-1587	344	3	estimator	estimator	NOUN
cana-1587	344	4	ought	ought	AUX
cana-1587	344	5	to	to	PART
cana-1587	344	6	have	have	VERB
cana-1587	344	7	a	a	DET
cana-1587	344	8	high	high	ADJ
cana-1587	344	9	breakdown	breakdown	NOUN
cana-1587	344	10	point	point	NOUN
cana-1587	344	11	,	,	PUNCT
cana-1587	344	12	indicating	indicate	VERB
cana-1587	344	13	its	its	PRON
cana-1587	344	14	capability	capability	NOUN
cana-1587	344	15	to	to	PART
cana-1587	344	16	accommodate	accommodate	VERB
cana-1587	344	17	a	a	DET
cana-1587	344	18	substantial	substantial	ADJ
cana-1587	344	19	percentage	percentage	NOUN
cana-1587	344	20	of	of	ADP
cana-1587	344	21	exceptions	exception	NOUN
cana-1587	344	22	without	without	ADP
cana-1587	344	23	compromising	compromise	VERB
cana-1587	344	24	the	the	DET
cana-1587	344	25	quality	quality	NOUN
cana-1587	344	26	of	of	ADP
cana-1587	344	27	estimation	estimation	NOUN
cana-1587	344	28	.	.	PUNCT
cana-1587	345	1	to	to	PART
cana-1587	345	2	obtain	obtain	VERB
cana-1587	345	3	a	a	DET
cana-1587	345	4	more	more	ADV
cana-1587	345	5	advanced	advanced	ADJ
cana-1587	345	6	paraphrase	paraphrase	NOUN
cana-1587	345	7	,	,	PUNCT
cana-1587	345	8	please	please	INTJ
cana-1587	345	9	give	give	VERB
cana-1587	345	10	the	the	DET
cana-1587	345	11	particular	particular	ADJ
cana-1587	345	12	sentence	sentence	NOUN
cana-1587	345	13	or	or	CCONJ
cana-1587	345	14	passage	passage	NOUN
cana-1587	345	15	you	you	PRON
cana-1587	345	16	would	would	AUX
cana-1587	345	17	like	like	VERB
cana-1587	345	18	me	i	PRON
cana-1587	345	19	to	to	PART
cana-1587	345	20	rephrase	rephrase	VERB
cana-1587	345	21	.	.	PUNCT
cana-1587	346	1	a	a	DET
cana-1587	346	2	thorough	thorough	ADJ
cana-1587	346	3	examination	examination	NOUN
cana-1587	346	4	utilizing	utilize	VERB
cana-1587	346	5	statistical	statistical	ADJ
cana-1587	346	6	measures	measure	NOUN
cana-1587	346	7	would	would	AUX
cana-1587	346	8	normally	normally	ADV
cana-1587	346	9	be	be	AUX
cana-1587	346	10	conducted	conduct	VERB
cana-1587	346	11	to	to	PART
cana-1587	346	12	compare	compare	VERB
cana-1587	346	13	the	the	DET
cana-1587	346	14	performance	performance	NOUN
cana-1587	346	15	of	of	ADP
cana-1587	346	16	the	the	DET
cana-1587	346	17	suggested	suggest	VERB
cana-1587	346	18	estimators	estimator	NOUN
cana-1587	346	19	to	to	ADP
cana-1587	346	20	that	that	PRON
cana-1587	346	21	of	of	ADP
cana-1587	346	22	existing	exist	VERB
cana-1587	346	23	approaches	approach	NOUN
cana-1587	346	24	,	,	PUNCT
cana-1587	346	25	like	like	ADP
cana-1587	346	26	those	those	PRON
cana-1587	346	27	by	by	ADP
cana-1587	346	28	lark	lark	NOUN
cana-1587	346	29	.	.	PUNCT
cana-1587	347	1	a	a	DET
cana-1587	347	2	couple	couple	NOUN
cana-1587	347	3	of	of	ADP
cana-1587	347	4	moves	move	NOUN
cana-1587	347	5	toward	toward	PART
cana-1587	347	6	compare	compare	VERB
cana-1587	347	7	these	these	DET
cana-1587	347	8	estimators	estimator	NOUN
cana-1587	347	9	are	be	AUX
cana-1587	347	10	as	as	ADP
cana-1587	347	11	per	per	ADP
cana-1587	347	12	the	the	DET
cana-1587	347	13	following	following	NOUN
cana-1587	347	14	:	:	PUNCT
cana-1587	347	15	1	1	X
cana-1587	347	16	.	.	PUNCT
cana-1587	347	17	statistical	statistical	ADJ
cana-1587	347	18	measures	measure	NOUN
cana-1587	347	19	:	:	PUNCT
cana-1587	347	20	accuracy	accuracy	NOUN
cana-1587	347	21	:	:	PUNCT
cana-1587	347	22	evaluate	evaluate	VERB
cana-1587	347	23	each	each	DET
cana-1587	347	24	estimator	estimator	NOUN
cana-1587	347	25	's	's	PART
cana-1587	347	26	performance	performance	NOUN
cana-1587	347	27	by	by	ADP
cana-1587	347	28	calculating	calculate	VERB
cana-1587	347	29	their	their	PRON
cana-1587	347	30	relative	relative	ADJ
cana-1587	347	31	error	error	NOUN
cana-1587	347	32	or	or	CCONJ
cana-1587	347	33	mean	mean	VERB
cana-1587	347	34	squared	square	VERB
cana-1587	347	35	error	error	NOUN
cana-1587	347	36	(	(	PUNCT
cana-1587	347	37	mse	mse	NOUN
cana-1587	347	38	)	)	PUNCT
cana-1587	347	39	.	.	PUNCT
cana-1587	348	1	bias	bias	NOUN
cana-1587	348	2	:	:	PUNCT
cana-1587	348	3	decide	decide	VERB
cana-1587	348	4	the	the	DET
cana-1587	348	5	degree	degree	NOUN
cana-1587	348	6	of	of	ADP
cana-1587	348	7	bias	bias	NOUN
cana-1587	348	8	by	by	ADP
cana-1587	348	9	contrasting	contrast	VERB
cana-1587	348	10	the	the	DET
cana-1587	348	11	anticipated	anticipated	ADJ
cana-1587	348	12	values	value	NOUN
cana-1587	348	13	with	with	ADP
cana-1587	348	14	actual	actual	ADJ
cana-1587	348	15	or	or	CCONJ
cana-1587	348	16	established	establish	VERB
cana-1587	348	17	standards	standard	NOUN
cana-1587	348	18	.	.	PUNCT
cana-1587	349	1	2	2	X
cana-1587	349	2	.	.	X
cana-1587	349	3	computational	computational	ADJ
cana-1587	349	4	efficiency	efficiency	NOUN
cana-1587	349	5	:	:	PUNCT
cana-1587	349	6	the	the	DET
cana-1587	349	7	computational	computational	ADJ
cana-1587	349	8	efficiency	efficiency	NOUN
cana-1587	349	9	of	of	ADP
cana-1587	349	10	any	any	DET
cana-1587	349	11	approach	approach	NOUN
cana-1587	349	12	ought	ought	AUX
cana-1587	349	13	to	to	PART
cana-1587	349	14	be	be	AUX
cana-1587	349	15	evaluated	evaluate	VERB
cana-1587	349	16	as	as	ADV
cana-1587	349	17	far	far	ADV
cana-1587	349	18	as	as	ADP
cana-1587	349	19	its	its	PRON
cana-1587	349	20	execution	execution	NOUN
cana-1587	349	21	time	time	NOUN
cana-1587	349	22	and	and	CCONJ
cana-1587	349	23	asset	asset	NOUN
cana-1587	349	24	use	use	NOUN
cana-1587	349	25	.	.	PUNCT
cana-1587	350	1	3	3	X
cana-1587	350	2	.	.	X
cana-1587	350	3	empirical	empirical	ADJ
cana-1587	350	4	data	data	PROPN
cana-1587	350	5	/	/	SYM
cana-1587	350	6	simulation	simulation	NOUN
cana-1587	350	7	results	result	VERB
cana-1587	350	8	:	:	PUNCT
cana-1587	350	9	it	it	PRON
cana-1587	350	10	is	be	AUX
cana-1587	350	11	essential	essential	ADJ
cana-1587	350	12	to	to	PART
cana-1587	350	13	have	have	VERB
cana-1587	350	14	access	access	NOUN
cana-1587	350	15	to	to	ADP
cana-1587	350	16	empirical	empirical	ADJ
cana-1587	350	17	data	datum	NOUN
cana-1587	350	18	or	or	CCONJ
cana-1587	350	19	simulation	simulation	NOUN
cana-1587	350	20	brings	bring	VERB
cana-1587	350	21	about	about	ADP
cana-1587	350	22	order	order	NOUN
cana-1587	350	23	to	to	PART
cana-1587	350	24	conduct	conduct	VERB
cana-1587	350	25	an	an	DET
cana-1587	350	26	exhaustive	exhaustive	ADJ
cana-1587	350	27	comparison	comparison	NOUN
cana-1587	350	28	utilizing	utilize	VERB
cana-1587	350	29	the	the	DET
cana-1587	350	30	statistical	statistical	ADJ
cana-1587	350	31	measures	measure	NOUN
cana-1587	350	32	mentioned	mention	VERB
cana-1587	350	33	before	before	ADV
cana-1587	350	34	.	.	PUNCT
cana-1587	351	1	communications	communication	NOUN
cana-1587	351	2	on	on	ADP
cana-1587	351	3	applied	apply	VERB
cana-1587	351	4	nonlinear	nonlinear	ADJ
cana-1587	351	5	analysis	analysis	NOUN
cana-1587	351	6	issn	issn	NOUN
cana-1587	351	7	:	:	PUNCT
cana-1587	351	8	1074	1074	NUM
cana-1587	351	9	-	-	PUNCT
cana-1587	351	10	133x	133x	NUM
cana-1587	351	11	vol	vol	NOUN
cana-1587	351	12	31	31	NUM
cana-1587	351	13	no	no	NOUN
cana-1587	351	14	.	.	PUNCT
cana-1587	352	1	8s	8s	PROPN
cana-1587	352	2	(	(	PUNCT
cana-1587	352	3	2024	2024	NUM
cana-1587	352	4	)	)	PUNCT
cana-1587	352	5	771	771	NUM
cana-1587	352	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-1587	352	7	4	4	NUM
cana-1587	352	8	.	.	NOUN
cana-1587	352	9	conduct	conduct	VERB
cana-1587	352	10	comparative	comparative	ADJ
cana-1587	352	11	analysis	analysis	NOUN
cana-1587	352	12	:	:	PUNCT
cana-1587	352	13	utilizing	utilize	VERB
cana-1587	352	14	these	these	DET
cana-1587	352	15	statistical	statistical	ADJ
cana-1587	352	16	measurements	measurement	NOUN
cana-1587	352	17	,	,	PUNCT
cana-1587	352	18	compare	compare	VERB
cana-1587	352	19	the	the	DET
cana-1587	352	20	accuracy	accuracy	NOUN
cana-1587	352	21	,	,	PUNCT
cana-1587	352	22	computational	computational	ADJ
cana-1587	352	23	efficiency	efficiency	NOUN
cana-1587	352	24	,	,	PUNCT
cana-1587	352	25	and	and	CCONJ
cana-1587	352	26	bias	bias	NOUN
cana-1587	352	27	control	control	NOUN
cana-1587	352	28	of	of	ADP
cana-1587	352	29	lark	lark	NOUN
cana-1587	352	30	's	's	PART
cana-1587	352	31	approaches	approach	NOUN
cana-1587	352	32	with	with	ADP
cana-1587	352	33	those	those	PRON
cana-1587	352	34	of	of	ADP
cana-1587	352	35	the	the	DET
cana-1587	352	36	proposed	propose	VERB
cana-1587	352	37	estimators	estimator	NOUN
cana-1587	352	38	.	.	PUNCT
cana-1587	353	1	5	5	X
cana-1587	353	2	.	.	X
cana-1587	353	3	consult	consult	VERB
cana-1587	353	4	domain	domain	NOUN
cana-1587	353	5	experts	expert	NOUN
cana-1587	353	6	/	/	SYM
cana-1587	353	7	literature	literature	NOUN
cana-1587	353	8	search	search	NOUN
cana-1587	353	9	:	:	PUNCT
cana-1587	353	10	it	it	PRON
cana-1587	353	11	very	very	ADV
cana-1587	353	12	well	well	ADV
cana-1587	353	13	might	might	AUX
cana-1587	353	14	be	be	AUX
cana-1587	353	15	useful	useful	ADJ
cana-1587	353	16	to	to	PART
cana-1587	353	17	counsel	counsel	VERB
cana-1587	353	18	topic	topic	NOUN
cana-1587	353	19	specialists	specialist	NOUN
cana-1587	353	20	or	or	CCONJ
cana-1587	353	21	undertake	undertake	VERB
cana-1587	353	22	additional	additional	ADJ
cana-1587	353	23	literature	literature	NOUN
cana-1587	353	24	searches	search	NOUN
cana-1587	353	25	on	on	ADP
cana-1587	353	26	the	the	DET
cana-1587	353	27	off	off	ADJ
cana-1587	353	28	chance	chance	NOUN
cana-1587	353	29	that	that	SCONJ
cana-1587	353	30	more	more	ADJ
cana-1587	353	31	information	information	NOUN
cana-1587	353	32	about	about	ADP
cana-1587	353	33	clear	clear	ADJ
cana-1587	353	34	frameworks	framework	NOUN
cana-1587	353	35	is	be	AUX
cana-1587	353	36	required	require	VERB
cana-1587	353	37	for	for	ADP
cana-1587	353	38	this	this	DET
cana-1587	353	39	comparison	comparison	NOUN
cana-1587	353	40	than	than	ADP
cana-1587	353	41	what	what	PRON
cana-1587	353	42	is	be	AUX
cana-1587	353	43	given	give	VERB
cana-1587	353	44	in	in	ADP
cana-1587	353	45	this	this	DET
cana-1587	353	46	paper	paper	NOUN
cana-1587	353	47	.	.	PUNCT
cana-1587	354	1	by	by	ADP
cana-1587	354	2	following	follow	VERB
cana-1587	354	3	to	to	ADP
cana-1587	354	4	these	these	DET
cana-1587	354	5	methods	method	NOUN
cana-1587	354	6	and	and	CCONJ
cana-1587	354	7	taking	take	VERB
cana-1587	354	8	into	into	ADP
cana-1587	354	9	account	account	NOUN
cana-1587	354	10	suitable	suitable	ADJ
cana-1587	354	11	statistical	statistical	ADJ
cana-1587	354	12	measurements	measurement	NOUN
cana-1587	354	13	in	in	ADP
cana-1587	354	14	addition	addition	NOUN
cana-1587	354	15	to	to	ADP
cana-1587	354	16	empirical	empirical	ADJ
cana-1587	354	17	data	datum	NOUN
cana-1587	354	18	/	/	SYM
cana-1587	354	19	simulations	simulation	NOUN
cana-1587	354	20	when	when	SCONJ
cana-1587	354	21	they	they	PRON
cana-1587	354	22	are	be	AUX
cana-1587	354	23	accessible	accessible	ADJ
cana-1587	354	24	,	,	PUNCT
cana-1587	354	25	we	we	PRON
cana-1587	354	26	can	can	AUX
cana-1587	354	27	gain	gain	VERB
cana-1587	354	28	knowledge	knowledge	NOUN
cana-1587	354	29	into	into	ADP
cana-1587	354	30	the	the	DET
cana-1587	354	31	performance	performance	NOUN
cana-1587	354	32	characteristics	characteristic	NOUN
cana-1587	354	33	of	of	ADP
cana-1587	354	34	the	the	DET
cana-1587	354	35	proposed	propose	VERB
cana-1587	354	36	estimators	estimator	NOUN
cana-1587	354	37	and	and	CCONJ
cana-1587	354	38	how	how	SCONJ
cana-1587	354	39	they	they	PRON
cana-1587	354	40	compare	compare	VERB
cana-1587	354	41	to	to	ADP
cana-1587	354	42	existing	exist	VERB
cana-1587	354	43	methods	method	NOUN
cana-1587	354	44	,	,	PUNCT
cana-1587	354	45	like	like	ADP
cana-1587	354	46	lark	lark	NOUN
cana-1587	354	47	's	's	PART
cana-1587	354	48	.	.	PUNCT
cana-1587	355	1	figure	figure	NOUN
cana-1587	355	2	2	2	NUM
cana-1587	355	3	.	.	PUNCT
cana-1587	356	1	with	with	ADP
cana-1587	356	2	a	a	DET
cana-1587	356	3	sample	sample	NOUN
cana-1587	356	4	size	size	NOUN
cana-1587	356	5	of	of	ADP
cana-1587	356	6	𝑁𝑘	𝑁𝑘	PROPN
cana-1587	356	7	=	=	SYM
cana-1587	356	8	3	3	NUM
cana-1587	356	9	,	,	PUNCT
cana-1587	356	10	the	the	DET
cana-1587	356	11	method	method	NOUN
cana-1587	356	12	-	-	PUNCT
cana-1587	356	13	of	of	ADP
cana-1587	356	14	-	-	PUNCT
cana-1587	356	15	moments	moments	NOUN
cana-1587	356	16	estimator	estimator	NOUN
cana-1587	356	17	2cij(h	2cij(h	NUM
cana-1587	356	18	)	)	PUNCT
cana-1587	356	19	has	have	VERB
cana-1587	356	20	a	a	DET
cana-1587	356	21	tail	tail	NOUN
cana-1587	356	22	distribution	distribution	NOUN
cana-1587	356	23	.	.	PUNCT
cana-1587	357	1	additionally	additionally	ADV
cana-1587	357	2	,	,	PUNCT
cana-1587	357	3	there	there	PRON
cana-1587	357	4	are	be	VERB
cana-1587	357	5	two	two	NUM
cana-1587	357	6	underlying	underlie	VERB
cana-1587	357	7	models	model	NOUN
cana-1587	357	8	for	for	ADP
cana-1587	357	9	three	three	NUM
cana-1587	357	10	:	:	PUNCT
cana-1587	357	11	(	(	PUNCT
cana-1587	357	12	2	2	NUM
cana-1587	357	13	−	−	NOUN
cana-1587	357	14	𝑒	𝑒	NOUN
cana-1587	357	15	)	)	PUNCT
cana-1587	357	16	𝑁(0	𝑁(0	PROPN
cana-1587	357	17	,	,	PUNCT
cana-1587	357	18	2	2	NUM
cana-1587	357	19	)	)	PUNCT
cana-1587	357	20	+	+	CCONJ
cana-1587	357	21	2	2	NUM
cana-1587	357	22	𝑒	𝑒	X
cana-1587	357	23	𝑁(0	𝑁(0	NUM
cana-1587	357	24	,	,	PUNCT
cana-1587	357	25	1.33	1.33	NUM
cana-1587	357	26	)	)	PUNCT
cana-1587	357	27	and	and	CCONJ
cana-1587	357	28	(	(	PUNCT
cana-1587	357	29	2	2	NUM
cana-1587	357	30	−	−	NOUN
cana-1587	357	31	𝑒	𝑒	NOUN
cana-1587	357	32	)	)	PUNCT
cana-1587	357	33	𝑁(0	𝑁(0	PROPN
cana-1587	357	34	,	,	PUNCT
cana-1587	357	35	2	2	NUM
cana-1587	357	36	)	)	PUNCT
cana-1587	357	37	+	+	NUM
cana-1587	357	38	2𝑒	2𝑒	NUM
cana-1587	357	39	𝑁(0	𝑁(0	NUM
cana-1587	357	40	,	,	PUNCT
cana-1587	357	41	1.56),various	1.56),various	ADJ
cana-1587	357	42	contamination	contamination	NOUN
cana-1587	357	43	levels	level	NOUN
cana-1587	357	44	e.	e.	PROPN
cana-1587	357	45	conclusions	conclusion	NOUN
cana-1587	357	46	1	1	X
cana-1587	357	47	.	.	PUNCT
cana-1587	357	48	main	main	ADJ
cana-1587	357	49	findings	finding	NOUN
cana-1587	357	50	and	and	CCONJ
cana-1587	357	51	contributions	contribution	NOUN
cana-1587	357	52	:	:	PUNCT
cana-1587	357	53	new	new	ADJ
cana-1587	357	54	robust	robust	ADJ
cana-1587	357	55	estimators	estimator	NOUN
cana-1587	357	56	for	for	ADP
cana-1587	357	57	cross	cross	NOUN
cana-1587	357	58	-	-	ADJ
cana-1587	357	59	variograms	variogram	NOUN
cana-1587	357	60	are	be	AUX
cana-1587	357	61	presented	present	VERB
cana-1587	357	62	in	in	ADP
cana-1587	357	63	this	this	DET
cana-1587	357	64	review	review	NOUN
cana-1587	357	65	,	,	PUNCT
cana-1587	357	66	with	with	ADP
cana-1587	357	67	an	an	DET
cana-1587	357	68	emphasis	emphasis	NOUN
cana-1587	357	69	on	on	ADP
cana-1587	357	70	location	location	NOUN
cana-1587	357	71	estimation	estimation	NOUN
cana-1587	357	72	in	in	ADP
cana-1587	357	73	multivariate	multivariate	NOUN
cana-1587	357	74	settings	setting	NOUN
cana-1587	357	75	.	.	PUNCT
cana-1587	358	1	a	a	DET
cana-1587	358	2	multivariate	multivariate	NOUN
cana-1587	358	3	scale	scale	NOUN
cana-1587	358	4	-	-	PUNCT
cana-1587	358	5	contaminated	contaminate	VERB
cana-1587	358	6	normal	normal	ADJ
cana-1587	358	7	model	model	NOUN
cana-1587	358	8	and	and	CCONJ
cana-1587	358	9	saddle	saddle	NOUN
cana-1587	358	10	point	point	NOUN
cana-1587	358	11	techniques	technique	NOUN
cana-1587	358	12	are	be	AUX
cana-1587	358	13	utilized	utilize	VERB
cana-1587	358	14	in	in	ADP
cana-1587	358	15	the	the	DET
cana-1587	358	16	process	process	NOUN
cana-1587	358	17	to	to	PART
cana-1587	358	18	track	track	VERB
cana-1587	358	19	down	down	ADP
cana-1587	358	20	exact	exact	ADJ
cana-1587	358	21	approximations	approximation	NOUN
cana-1587	358	22	for	for	ADP
cana-1587	358	23	sample	sample	NOUN
cana-1587	358	24	distributions	distribution	NOUN
cana-1587	358	25	.	.	PUNCT
cana-1587	359	1	this	this	DET
cana-1587	359	2	technique	technique	NOUN
cana-1587	359	3	works	work	VERB
cana-1587	359	4	on	on	ADP
cana-1587	359	5	the	the	DET
cana-1587	359	6	accuracy	accuracy	NOUN
cana-1587	359	7	and	and	CCONJ
cana-1587	359	8	adaptability	adaptability	NOUN
cana-1587	359	9	of	of	ADP
cana-1587	359	10	estimators	estimator	NOUN
cana-1587	359	11	by	by	ADP
cana-1587	359	12	addressing	address	VERB
cana-1587	359	13	the	the	DET
cana-1587	359	14	reliance	reliance	NOUN
cana-1587	359	15	among	among	ADP
cana-1587	359	16	transformed	transform	VERB
cana-1587	359	17	variables	variable	NOUN
cana-1587	359	18	in	in	ADP
cana-1587	359	19	spatial	spatial	ADJ
cana-1587	359	20	observations	observation	NOUN
cana-1587	359	21	.	.	PUNCT
cana-1587	360	1	2	2	X
cana-1587	360	2	.	.	X
cana-1587	360	3	practical	practical	ADJ
cana-1587	360	4	implications	implication	NOUN
cana-1587	360	5	:	:	PUNCT
cana-1587	360	6	if	if	SCONJ
cana-1587	360	7	applied	apply	VERB
cana-1587	360	8	to	to	ADP
cana-1587	360	9	the	the	DET
cana-1587	360	10	investigation	investigation	NOUN
cana-1587	360	11	of	of	ADP
cana-1587	360	12	spatial	spatial	ADJ
cana-1587	360	13	data	datum	NOUN
cana-1587	360	14	,	,	PUNCT
cana-1587	360	15	the	the	DET
cana-1587	360	16	suggested	suggest	VERB
cana-1587	360	17	techniques	technique	NOUN
cana-1587	360	18	have	have	VERB
cana-1587	360	19	real	real	ADJ
cana-1587	360	20	-	-	PUNCT
cana-1587	360	21	world	world	NOUN
cana-1587	360	22	results	result	NOUN
cana-1587	360	23	.	.	PUNCT
cana-1587	361	1	at	at	ADP
cana-1587	361	2	it	it	PRON
cana-1587	361	3	comes	come	VERB
cana-1587	361	4	to	to	ADP
cana-1587	361	5	geographical	geographical	ADJ
cana-1587	361	6	data	datum	NOUN
cana-1587	361	7	analysis	analysis	NOUN
cana-1587	361	8	,	,	PUNCT
cana-1587	361	9	they	they	PRON
cana-1587	361	10	improve	improve	VERB
cana-1587	361	11	at	at	ADP
cana-1587	361	12	dealing	deal	VERB
cana-1587	361	13	with	with	ADP
cana-1587	361	14	exemptions	exemption	NOUN
cana-1587	361	15	and	and	CCONJ
cana-1587	361	16	anomalies	anomaly	NOUN
cana-1587	361	17	.	.	PUNCT
cana-1587	362	1	these	these	DET
cana-1587	362	2	techniques	technique	NOUN
cana-1587	362	3	further	far	ADV
cana-1587	362	4	develop	develop	VERB
cana-1587	362	5	enlistment	enlistment	ADJ
cana-1587	362	6	capacities	capacity	NOUN
cana-1587	362	7	by	by	ADP
cana-1587	362	8	estimating	estimate	VERB
cana-1587	362	9	cross	cross	NOUN
cana-1587	362	10	-	-	ADJ
cana-1587	362	11	variograms	variogram	NOUN
cana-1587	362	12	more	more	ADV
cana-1587	362	13	reliably	reliably	ADV
cana-1587	362	14	and	and	CCONJ
cana-1587	362	15	zeroing	zero	VERB
cana-1587	362	16	in	in	ADP
cana-1587	362	17	on	on	ADP
cana-1587	362	18	spatial	spatial	ADJ
cana-1587	362	19	dependency	dependency	NOUN
cana-1587	362	20	.	.	PUNCT
cana-1587	363	1	communications	communication	NOUN
cana-1587	363	2	on	on	ADP
cana-1587	363	3	applied	apply	VERB
cana-1587	363	4	nonlinear	nonlinear	ADJ
cana-1587	363	5	analysis	analysis	NOUN
cana-1587	363	6	issn	issn	NOUN
cana-1587	363	7	:	:	PUNCT
cana-1587	363	8	1074	1074	NUM
cana-1587	363	9	-	-	PUNCT
cana-1587	363	10	133x	133x	NUM
cana-1587	363	11	vol	vol	NOUN
cana-1587	363	12	31	31	NUM
cana-1587	363	13	no	no	NOUN
cana-1587	363	14	.	.	PUNCT
cana-1587	364	1	8s	8s	PROPN
cana-1587	364	2	(	(	PUNCT
cana-1587	364	3	2024	2024	NUM
cana-1587	364	4	)	)	PUNCT
cana-1587	364	5	772	772	NUM
cana-1587	364	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-1587	364	7	3	3	X
cana-1587	364	8	.	.	PUNCT
cana-1587	364	9	limitations	limitation	NOUN
cana-1587	364	10	:	:	PUNCT
cana-1587	364	11	the	the	DET
cana-1587	364	12	suggested	suggest	VERB
cana-1587	364	13	methodology	methodology	NOUN
cana-1587	364	14	has	have	VERB
cana-1587	364	15	a	a	DET
cana-1587	364	16	handful	handful	NOUN
cana-1587	364	17	of	of	ADP
cana-1587	364	18	potential	potential	ADJ
cana-1587	364	19	drawbacks	drawback	NOUN
cana-1587	364	20	that	that	PRON
cana-1587	364	21	ought	ought	AUX
cana-1587	364	22	to	to	PART
cana-1587	364	23	be	be	AUX
cana-1587	364	24	noted	note	VERB
cana-1587	364	25	.	.	PUNCT
cana-1587	365	1	certain	certain	ADJ
cana-1587	365	2	scenarios	scenario	NOUN
cana-1587	365	3	may	may	AUX
cana-1587	365	4	be	be	AUX
cana-1587	365	5	restricted	restrict	VERB
cana-1587	365	6	in	in	ADP
cana-1587	365	7	their	their	PRON
cana-1587	365	8	applicability	applicability	NOUN
cana-1587	365	9	because	because	SCONJ
cana-1587	365	10	of	of	ADP
cana-1587	365	11	assumptions	assumption	NOUN
cana-1587	365	12	like	like	ADP
cana-1587	365	13	isotropic	isotropic	ADJ
cana-1587	365	14	second	second	ADJ
cana-1587	365	15	-	-	PUNCT
cana-1587	365	16	order	order	NOUN
cana-1587	365	17	stationarity	stationarity	NOUN
cana-1587	365	18	and	and	CCONJ
cana-1587	365	19	the	the	DET
cana-1587	365	20	prerequisite	prerequisite	NOUN
cana-1587	365	21	for	for	ADP
cana-1587	365	22	exact	exact	ADJ
cana-1587	365	23	covariance	covariance	NOUN
cana-1587	365	24	matrix	matrix	NOUN
cana-1587	365	25	estimation	estimation	NOUN
cana-1587	365	26	.	.	PUNCT
cana-1587	366	1	another	another	DET
cana-1587	366	2	factor	factor	NOUN
cana-1587	366	3	that	that	PRON
cana-1587	366	4	could	could	AUX
cana-1587	366	5	affect	affect	VERB
cana-1587	366	6	the	the	DET
cana-1587	366	7	model	model	NOUN
cana-1587	366	8	's	's	PART
cana-1587	366	9	validity	validity	NOUN
cana-1587	366	10	is	be	AUX
cana-1587	366	11	in	in	ADP
cana-1587	366	12	the	the	DET
cana-1587	366	13	event	event	NOUN
cana-1587	366	14	that	that	PRON
cana-1587	366	15	the	the	DET
cana-1587	366	16	actual	actual	ADJ
cana-1587	366	17	data	datum	NOUN
cana-1587	366	18	does	do	AUX
cana-1587	366	19	n't	not	PART
cana-1587	366	20	follow	follow	VERB
cana-1587	366	21	a	a	DET
cana-1587	366	22	normal	normal	ADJ
cana-1587	366	23	distribution	distribution	NOUN
cana-1587	366	24	.	.	PUNCT
cana-1587	367	1	4	4	X
cana-1587	367	2	.	.	X
cana-1587	367	3	future	future	ADJ
cana-1587	367	4	research	research	NOUN
cana-1587	367	5	areas	area	NOUN
cana-1587	367	6	:	:	PUNCT
cana-1587	367	7	various	various	ADJ
cana-1587	367	8	ideas	idea	NOUN
cana-1587	367	9	for	for	ADP
cana-1587	367	10	future	future	ADJ
cana-1587	367	11	research	research	NOUN
cana-1587	367	12	are	be	AUX
cana-1587	367	13	made	make	VERB
cana-1587	367	14	in	in	ADP
cana-1587	367	15	the	the	DET
cana-1587	367	16	research	research	NOUN
cana-1587	367	17	:	:	PUNCT
cana-1587	367	18	applications	application	NOUN
cana-1587	367	19	across	across	ADP
cana-1587	367	20	domains	domain	NOUN
cana-1587	367	21	:	:	PUNCT
cana-1587	367	22	to	to	PART
cana-1587	367	23	evaluate	evaluate	VERB
cana-1587	367	24	these	these	DET
cana-1587	367	25	estimators	estimator	NOUN
cana-1587	367	26	'	'	PART
cana-1587	367	27	suitability	suitability	NOUN
cana-1587	367	28	in	in	ADP
cana-1587	367	29	various	various	ADJ
cana-1587	367	30	domains	domain	NOUN
cana-1587	367	31	,	,	PUNCT
cana-1587	367	32	investigate	investigate	VERB
cana-1587	367	33	their	their	PRON
cana-1587	367	34	utilization	utilization	NOUN
cana-1587	367	35	outside	outside	ADP
cana-1587	367	36	geo	geo	PROPN
cana-1587	367	37	statistics	statistics	PROPN
cana-1587	367	38	,	,	PUNCT
cana-1587	367	39	for	for	ADP
cana-1587	367	40	example	example	NOUN
cana-1587	367	41	in	in	ADP
cana-1587	367	42	environmental	environmental	ADJ
cana-1587	367	43	monitoring	monitoring	NOUN
cana-1587	367	44	or	or	CCONJ
cana-1587	367	45	financial	financial	ADJ
cana-1587	367	46	modeling	modeling	NOUN
cana-1587	367	47	.	.	PUNCT
cana-1587	368	1	to	to	PART
cana-1587	368	2	work	work	VERB
cana-1587	368	3	on	on	ADP
cana-1587	368	4	the	the	DET
cana-1587	368	5	estimator	estimator	NOUN
cana-1587	368	6	's	's	PART
cana-1587	368	7	performance	performance	NOUN
cana-1587	368	8	in	in	ADP
cana-1587	368	9	various	various	ADJ
cana-1587	368	10	scenarios	scenario	NOUN
cana-1587	368	11	,	,	PUNCT
cana-1587	368	12	utilizing	utilize	VERB
cana-1587	368	13	more	more	ADV
cana-1587	368	14	sophisticated	sophisticated	ADJ
cana-1587	368	15	statistical	statistical	ADJ
cana-1587	368	16	methods	method	NOUN
cana-1587	368	17	or	or	CCONJ
cana-1587	368	18	take	take	VERB
cana-1587	368	19	a	a	DET
cana-1587	368	20	gander	gander	NOUN
cana-1587	368	21	at	at	ADP
cana-1587	368	22	different	different	ADJ
cana-1587	368	23	models	model	NOUN
cana-1587	368	24	would	would	AUX
cana-1587	368	25	be	be	AUX
cana-1587	368	26	beneficial	beneficial	ADJ
cana-1587	368	27	.	.	PUNCT
cana-1587	369	1	this	this	PRON
cana-1587	369	2	would	would	AUX
cana-1587	369	3	be	be	AUX
cana-1587	369	4	a	a	DET
cana-1587	369	5	methodological	methodological	ADJ
cana-1587	369	6	enhancement	enhancement	NOUN
cana-1587	369	7	.	.	PUNCT
cana-1587	370	1	testing	testing	NOUN
cana-1587	370	2	for	for	ADP
cana-1587	370	3	robustness	robustness	NOUN
cana-1587	370	4	:	:	PUNCT
cana-1587	370	5	validate	validate	VERB
cana-1587	370	6	the	the	DET
cana-1587	370	7	estimators	estimator	NOUN
cana-1587	370	8	'	'	PART
cana-1587	370	9	reliability	reliability	NOUN
cana-1587	370	10	across	across	ADP
cana-1587	370	11	different	different	ADJ
cana-1587	370	12	scenarios	scenario	NOUN
cana-1587	370	13	by	by	ADP
cana-1587	370	14	conducting	conduct	VERB
cana-1587	370	15	complete	complete	ADJ
cana-1587	370	16	robustness	robustness	NOUN
cana-1587	370	17	testing	testing	NOUN
cana-1587	370	18	utilizing	utilize	VERB
cana-1587	370	19	real	real	ADJ
cana-1587	370	20	-	-	PUNCT
cana-1587	370	21	world	world	NOUN
cana-1587	370	22	datasets	dataset	NOUN
cana-1587	370	23	with	with	ADP
cana-1587	370	24	varying	vary	VERB
cana-1587	370	25	levels	level	NOUN
cana-1587	370	26	of	of	ADP
cana-1587	370	27	sophistication	sophistication	NOUN
cana-1587	370	28	.	.	PUNCT
cana-1587	371	1	conflicts	conflict	NOUN
cana-1587	371	2	of	of	ADP
cana-1587	371	3	interest	interest	NOUN
cana-1587	371	4	:	:	PUNCT
cana-1587	371	5	the	the	DET
cana-1587	371	6	authors	author	NOUN
cana-1587	371	7	declare	declare	VERB
cana-1587	371	8	no	no	DET
cana-1587	371	9	conflict	conflict	NOUN
cana-1587	371	10	of	of	ADP
cana-1587	371	11	interest	interest	NOUN
cana-1587	371	12	references	reference	NOUN
cana-1587	371	13	[	[	X
cana-1587	371	14	1	1	NUM
cana-1587	371	15	]	]	PUNCT
cana-1587	371	16	cressie	cressie	PROPN
cana-1587	371	17	.	.	PUNCT
cana-1587	371	18	,	,	PUNCT
cana-1587	372	1	nac	nac	PROPN
cana-1587	372	2	.	.	PROPN
cana-1587	372	3	statistics	statistic	NOUN
cana-1587	372	4	for	for	ADP
cana-1587	372	5	spatial	spatial	ADJ
cana-1587	372	6	data	datum	NOUN
cana-1587	372	7	;	;	PUNCT
cana-1587	372	8	john	john	PROPN
cana-1587	372	9	wiley	wiley	PROPN
cana-1587	372	10	&	&	CCONJ
cana-1587	372	11	sons	son	NOUN
cana-1587	372	12	:	:	PUNCT
cana-1587	372	13	new	new	PROPN
cana-1587	372	14	york	york	PROPN
cana-1587	372	15	,	,	PUNCT
cana-1587	372	16	ny	ny	PROPN
cana-1587	372	17	,	,	PUNCT
cana-1587	372	18	usa	usa	PROPN
cana-1587	372	19	,	,	PUNCT
cana-1587	372	20	1993	1993	NUM
cana-1587	372	21	.	.	PUNCT
cana-1587	373	1	[	[	X
cana-1587	373	2	2	2	NUM
cana-1587	373	3	]	]	PUNCT
cana-1587	373	4	bivand	bivand	NOUN
cana-1587	373	5	,	,	PUNCT
cana-1587	373	6	roger	roger	PROPN
cana-1587	373	7	s.	s.	PROPN
cana-1587	373	8	,	,	PUNCT
cana-1587	373	9	edzer	edzer	PROPN
cana-1587	373	10	j.	j.	PROPN
cana-1587	373	11	pebesma	pebesma	PROPN
cana-1587	373	12	,	,	PUNCT
cana-1587	373	13	virgilio	virgilio	PROPN
cana-1587	373	14	gómez	gómez	PROPN
cana-1587	373	15	-	-	PUNCT
cana-1587	373	16	rubio	rubio	NOUN
cana-1587	373	17	,	,	PUNCT
cana-1587	373	18	and	and	CCONJ
cana-1587	373	19	edzer	edzer	NOUN
cana-1587	373	20	jan	jan	PROPN
cana-1587	373	21	pebesma	pebesma	PROPN
cana-1587	373	22	.	.	PUNCT
cana-1587	374	1	applied	apply	VERB
cana-1587	374	2	spatial	spatial	ADJ
cana-1587	374	3	data	datum	NOUN
cana-1587	374	4	analysis	analysis	NOUN
cana-1587	374	5	with	with	ADP
cana-1587	374	6	r.	r.	PROPN
cana-1587	374	7	vol	vol	NOUN
cana-1587	374	8	.	.	PUNCT
cana-1587	375	1	747248717	747248717	NUM
cana-1587	375	2	.	.	PUNCT
cana-1587	376	1	new	new	PROPN
cana-1587	376	2	york	york	PROPN
cana-1587	376	3	:	:	PUNCT
cana-1587	376	4	springer	springer	NOUN
cana-1587	376	5	,	,	PUNCT
cana-1587	376	6	2008	2008	NUM
cana-1587	376	7	.	.	PUNCT
cana-1587	377	1	[	[	X
cana-1587	377	2	3	3	NUM
cana-1587	377	3	]	]	X
cana-1587	377	4	lark	lark	NOUN
cana-1587	377	5	,	,	PUNCT
cana-1587	377	6	r.	r.	PROPN
cana-1587	377	7	m.	m.	PROPN
cana-1587	377	8	"	"	PUNCT
cana-1587	377	9	two	two	NUM
cana-1587	377	10	robust	robust	ADJ
cana-1587	377	11	estimators	estimator	NOUN
cana-1587	377	12	of	of	ADP
cana-1587	377	13	the	the	DET
cana-1587	377	14	cross‐variogram	cross‐variogram	NOUN
cana-1587	377	15	for	for	ADP
cana-1587	377	16	multivariate	multivariate	NOUN
cana-1587	377	17	geostatistical	geostatistical	ADJ
cana-1587	377	18	analysis	analysis	NOUN
cana-1587	377	19	of	of	ADP
cana-1587	377	20	soil	soil	NOUN
cana-1587	377	21	properties	property	NOUN
cana-1587	377	22	.	.	PUNCT
cana-1587	377	23	"	"	PUNCT
cana-1587	378	1	european	european	ADJ
cana-1587	378	2	journal	journal	PROPN
cana-1587	378	3	of	of	ADP
cana-1587	378	4	soil	soil	NOUN
cana-1587	378	5	science	science	NOUN
cana-1587	378	6	54	54	NUM
cana-1587	378	7	,	,	PUNCT
cana-1587	378	8	no	no	INTJ
cana-1587	378	9	.	.	NOUN
cana-1587	378	10	1	1	NUM
cana-1587	378	11	(	(	PUNCT
cana-1587	378	12	2003	2003	NUM
cana-1587	378	13	):	):	PUNCT
cana-1587	378	14	187	187	NUM
cana-1587	378	15	-	-	SYM
cana-1587	378	16	202	202	NUM
cana-1587	378	17	.	.	PUNCT
cana-1587	379	1	[	[	X
cana-1587	379	2	4	4	NUM
cana-1587	379	3	]	]	X
cana-1587	379	4	lark	lark	NOUN
cana-1587	379	5	,	,	PUNCT
cana-1587	379	6	r.	r.	PROPN
cana-1587	379	7	m.	m.	PROPN
cana-1587	379	8	"	"	PUNCT
cana-1587	379	9	two	two	NUM
cana-1587	379	10	robust	robust	ADJ
cana-1587	379	11	estimators	estimator	NOUN
cana-1587	379	12	of	of	ADP
cana-1587	379	13	the	the	DET
cana-1587	379	14	cross‐variogram	cross‐variogram	NOUN
cana-1587	379	15	for	for	ADP
cana-1587	379	16	multivariate	multivariate	NOUN
cana-1587	379	17	geostatistical	geostatistical	ADJ
cana-1587	379	18	analysis	analysis	NOUN
cana-1587	379	19	of	of	ADP
cana-1587	379	20	soil	soil	NOUN
cana-1587	379	21	properties	property	NOUN
cana-1587	379	22	.	.	PUNCT
cana-1587	379	23	"	"	PUNCT
cana-1587	380	1	european	european	ADJ
cana-1587	380	2	journal	journal	PROPN
cana-1587	380	3	of	of	ADP
cana-1587	380	4	soil	soil	NOUN
cana-1587	380	5	science	science	NOUN
cana-1587	380	6	54	54	NUM
cana-1587	380	7	,	,	PUNCT
cana-1587	380	8	no	no	INTJ
cana-1587	380	9	.	.	NOUN
cana-1587	380	10	1	1	NUM
cana-1587	380	11	(	(	PUNCT
cana-1587	380	12	2003	2003	NUM
cana-1587	380	13	):	):	PUNCT
cana-1587	380	14	187	187	NUM
cana-1587	380	15	-	-	SYM
cana-1587	380	16	202	202	NUM
cana-1587	380	17	.	.	PUNCT
cana-1587	381	1	[	[	X
cana-1587	381	2	5	5	NUM
cana-1587	381	3	]	]	X
cana-1587	381	4	garcía	garcía	ADJ
cana-1587	381	5	-	-	PUNCT
cana-1587	381	6	pérez	pérez	NOUN
cana-1587	381	7	,	,	PUNCT
cana-1587	381	8	a.	a.	NOUN
cana-1587	381	9	"	"	PUNCT
cana-1587	381	10	saddle	saddle	NOUN
cana-1587	381	11	point	point	NOUN
cana-1587	381	12	approximations	approximation	NOUN
cana-1587	381	13	for	for	ADP
cana-1587	381	14	the	the	DET
cana-1587	381	15	distribution	distribution	NOUN
cana-1587	381	16	of	of	ADP
cana-1587	381	17	some	some	DET
cana-1587	381	18	robust	robust	ADJ
cana-1587	381	19	estimators	estimator	NOUN
cana-1587	381	20	of	of	ADP
cana-1587	381	21	the	the	DET
cana-1587	381	22	variogram	variogram	NOUN
cana-1587	381	23	.	.	PUNCT
cana-1587	381	24	"	"	PUNCT
cana-1587	382	1	metrika	metrika	NOUN
cana-1587	382	2	83	83	NUM
cana-1587	382	3	,	,	PUNCT
cana-1587	382	4	no	no	INTJ
cana-1587	382	5	.	.	NOUN
cana-1587	382	6	1	1	NUM
cana-1587	382	7	(	(	PUNCT
cana-1587	382	8	2020	2020	NUM
cana-1587	382	9	):	):	PUNCT
cana-1587	382	10	69	69	NUM
cana-1587	382	11	-	-	SYM
cana-1587	382	12	91	91	NUM
cana-1587	382	13	.	.	PUNCT
cana-1587	383	1	[	[	X
cana-1587	383	2	6	6	NUM
cana-1587	383	3	]	]	X
cana-1587	383	4	huber	huber	PROPN
cana-1587	383	5	,	,	PUNCT
cana-1587	383	6	peter	peter	PROPN
cana-1587	383	7	j.	j.	PROPN
cana-1587	383	8	"	"	PUNCT
cana-1587	383	9	robust	robust	ADJ
cana-1587	383	10	estimation	estimation	NOUN
cana-1587	383	11	of	of	ADP
cana-1587	383	12	a	a	DET
cana-1587	383	13	location	location	NOUN
cana-1587	383	14	parameter	parameter	NOUN
cana-1587	383	15	.	.	PUNCT
cana-1587	383	16	"	"	PUNCT
cana-1587	384	1	in	in	ADP
cana-1587	384	2	breakthroughs	breakthrough	NOUN
cana-1587	384	3	in	in	ADP
cana-1587	384	4	statistics	statistic	NOUN
cana-1587	384	5	:	:	PUNCT
cana-1587	384	6	methodology	methodology	NOUN
cana-1587	384	7	and	and	CCONJ
cana-1587	384	8	distribution	distribution	NOUN
cana-1587	384	9	,	,	PUNCT
cana-1587	384	10	pp	pp	ADJ
cana-1587	384	11	.	.	PUNCT
cana-1587	384	12	492	492	NUM
cana-1587	384	13	-	-	SYM
cana-1587	384	14	518	518	NUM
cana-1587	384	15	.	.	PUNCT
cana-1587	384	16	new	new	PROPN
cana-1587	384	17	york	york	PROPN
cana-1587	384	18	,	,	PUNCT
cana-1587	384	19	ny	ny	PROPN
cana-1587	384	20	:	:	PUNCT
cana-1587	384	21	springer	springer	PROPN
cana-1587	384	22	new	new	PROPN
cana-1587	384	23	york	york	PROPN
cana-1587	384	24	,	,	PUNCT
cana-1587	384	25	1992	1992	NUM
cana-1587	384	26	.	.	PUNCT
cana-1587	385	1	[	[	X
cana-1587	385	2	7	7	NUM
cana-1587	385	3	]	]	SYM
cana-1587	385	4	tukey	tukey	NOUN
cana-1587	385	5	,	,	PUNCT
cana-1587	385	6	j.	j.	PROPN
cana-1587	385	7	w.	w.	PROPN
cana-1587	385	8	(	(	PUNCT
cana-1587	385	9	1960	1960	NUM
cana-1587	385	10	)	)	PUNCT
cana-1587	385	11	.	.	PUNCT
cana-1587	386	1	a	a	DET
cana-1587	386	2	survey	survey	NOUN
cana-1587	386	3	of	of	ADP
cana-1587	386	4	sampling	sample	VERB
cana-1587	386	5	from	from	ADP
cana-1587	386	6	contaminated	contaminated	ADJ
cana-1587	386	7	distributions	distribution	NOUN
cana-1587	386	8	.	.	PUNCT
cana-1587	387	1	contributions	contribution	NOUN
cana-1587	387	2	to	to	ADP
cana-1587	387	3	probability	probability	NOUN
cana-1587	387	4	and	and	CCONJ
cana-1587	387	5	statistics	statistic	NOUN
cana-1587	387	6	,	,	PUNCT
cana-1587	387	7	448	448	NUM
cana-1587	387	8	-	-	SYM
cana-1587	387	9	485	485	NUM
cana-1587	387	10	.	.	PUNCT
cana-1587	388	1	[	[	X
cana-1587	388	2	8	8	NUM
cana-1587	388	3	]	]	PUNCT
cana-1587	388	4	tsamatsoulis	tsamatsouli	NOUN
cana-1587	388	5	,	,	PUNCT
cana-1587	388	6	dimitris	dimitris	PROPN
cana-1587	388	7	.	.	PUNCT
cana-1587	389	1	"	"	PUNCT
cana-1587	389	2	comparing	compare	VERB
cana-1587	389	3	the	the	DET
cana-1587	389	4	effectiveness	effectiveness	NOUN
cana-1587	389	5	of	of	ADP
cana-1587	389	6	robust	robust	ADJ
cana-1587	389	7	statistical	statistical	ADJ
cana-1587	389	8	estimators	estimator	NOUN
cana-1587	389	9	of	of	ADP
cana-1587	389	10	proficiency	proficiency	NOUN
cana-1587	389	11	testing	testing	NOUN
cana-1587	389	12	schemes	scheme	NOUN
cana-1587	389	13	in	in	ADP
cana-1587	389	14	outlier	outlier	ADJ
cana-1587	389	15	detection	detection	NOUN
cana-1587	389	16	.	.	PUNCT
cana-1587	389	17	"	"	PUNCT
cana-1587	389	18	standards	standard	NOUN
cana-1587	389	19	3	3	NUM
cana-1587	389	20	,	,	PUNCT
cana-1587	389	21	no	no	INTJ
cana-1587	389	22	.	.	NOUN
cana-1587	389	23	2	2	NUM
cana-1587	389	24	(	(	PUNCT
cana-1587	389	25	2023	2023	NUM
cana-1587	389	26	):	):	PUNCT
cana-1587	389	27	110	110	NUM
cana-1587	389	28	-	-	SYM
cana-1587	389	29	132	132	NUM
cana-1587	389	30	.	.	PUNCT
cana-1587	390	1	[	[	X
cana-1587	390	2	9	9	NUM
cana-1587	390	3	]	]	PUNCT
cana-1587	390	4	ebner	ebner	X
cana-1587	390	5	,	,	PUNCT
cana-1587	390	6	bruno	bruno	PROPN
cana-1587	390	7	,	,	PUNCT
cana-1587	390	8	and	and	CCONJ
cana-1587	390	9	norbert	norbert	PROPN
cana-1587	390	10	henze	henze	NOUN
cana-1587	390	11	.	.	PUNCT
cana-1587	391	1	"	"	PUNCT
cana-1587	391	2	tests	test	NOUN
cana-1587	391	3	for	for	ADP
cana-1587	391	4	multivariate	multivariate	NOUN
cana-1587	391	5	normality	normality	NOUN
cana-1587	391	6	—	—	PUNCT
cana-1587	391	7	a	a	DET
cana-1587	391	8	critical	critical	ADJ
cana-1587	391	9	review	review	NOUN
cana-1587	391	10	with	with	ADP
cana-1587	391	11	emphasis	emphasis	NOUN
cana-1587	391	12	on	on	ADP
cana-1587	391	13	weighted	weight	VERB
cana-1587	391	14	l	l	PROPN
cana-1587	391	15	2	2	NUM
cana-1587	391	16	-	-	PUNCT
cana-1587	391	17	statistics	statistic	NOUN
cana-1587	391	18	.	.	PUNCT
cana-1587	391	19	"	"	PUNCT
cana-1587	391	20	test	test	NOUN
cana-1587	391	21	29	29	NUM
cana-1587	391	22	,	,	PUNCT
cana-1587	391	23	no	no	INTJ
cana-1587	391	24	.	.	NOUN
cana-1587	391	25	4	4	NUM
cana-1587	391	26	(	(	PUNCT
cana-1587	391	27	2020	2020	NUM
cana-1587	391	28	):	):	PUNCT
cana-1587	391	29	845	845	NUM
cana-1587	391	30	-	-	NUM
cana-1587	391	31	892	892	NUM
cana-1587	391	32	.	.	PUNCT
cana-1587	392	1	[	[	X
cana-1587	392	2	10	10	NUM
cana-1587	392	3	]	]	X
cana-1587	392	4	nadarajah	nadarajah	NOUN
cana-1587	392	5	,	,	PUNCT
cana-1587	392	6	saralees	saralee	NOUN
cana-1587	392	7	,	,	PUNCT
cana-1587	392	8	and	and	CCONJ
cana-1587	392	9	tibor	tibor	PROPN
cana-1587	392	10	k.	k.	PROPN
cana-1587	392	11	pogány	pogány	PROPN
cana-1587	392	12	.	.	PUNCT
cana-1587	393	1	"	"	PUNCT
cana-1587	393	2	on	on	ADP
cana-1587	393	3	the	the	DET
cana-1587	393	4	distribution	distribution	NOUN
cana-1587	393	5	of	of	ADP
cana-1587	393	6	the	the	DET
cana-1587	393	7	product	product	NOUN
cana-1587	393	8	of	of	ADP
cana-1587	393	9	correlated	correlate	VERB
cana-1587	393	10	normal	normal	ADJ
cana-1587	393	11	random	random	ADJ
cana-1587	393	12	variables	variable	NOUN
cana-1587	393	13	.	.	PUNCT
cana-1587	393	14	"	"	PUNCT
cana-1587	393	15	comptes	compte	VERB
cana-1587	393	16	rendus	rendus	PROPN
cana-1587	393	17	.	.	PUNCT
cana-1587	394	1	mathématique	mathématique	PROPN
cana-1587	394	2	354	354	PROPN
cana-1587	394	3	,	,	PUNCT
cana-1587	394	4	no	no	INTJ
cana-1587	394	5	.	.	NOUN
cana-1587	394	6	2	2	NUM
cana-1587	394	7	(	(	PUNCT
cana-1587	394	8	2016	2016	NUM
cana-1587	394	9	):	):	PUNCT
cana-1587	394	10	201	201	NUM
cana-1587	394	11	-	-	SYM
cana-1587	394	12	204	204	NUM
cana-1587	394	13	.	.	PUNCT
cana-1587	395	1	[	[	X
cana-1587	395	2	11	11	NUM
cana-1587	395	3	]	]	X
cana-1587	395	4	daniels	daniels	PROPN
cana-1587	395	5	,	,	PUNCT
cana-1587	395	6	h.	h.	PROPN
cana-1587	395	7	e.	e.	PROPN
cana-1587	395	8	"	"	PUNCT
cana-1587	395	9	saddle	saddle	ADJ
cana-1587	395	10	point	point	NOUN
cana-1587	395	11	approximations	approximation	NOUN
cana-1587	395	12	for	for	ADP
cana-1587	395	13	estimating	estimate	VERB
cana-1587	395	14	equations	equation	NOUN
cana-1587	395	15	.	.	PUNCT
cana-1587	395	16	"	"	PUNCT
cana-1587	396	1	biometrika	biometrika	NOUN
cana-1587	396	2	70	70	NUM
cana-1587	396	3	,	,	PUNCT
cana-1587	396	4	no	no	INTJ
cana-1587	396	5	.	.	NOUN
cana-1587	396	6	1	1	NUM
cana-1587	396	7	(	(	PUNCT
cana-1587	396	8	1983	1983	NUM
cana-1587	396	9	):	):	PUNCT
cana-1587	396	10	89	89	NUM
cana-1587	396	11	-	-	SYM
cana-1587	396	12	96	96	NUM
cana-1587	396	13	.	.	PUNCT
cana-1587	397	1	[	[	X
cana-1587	397	2	12	12	NUM
cana-1587	397	3	]	]	PUNCT
cana-1587	397	4	withers	wither	NOUN
cana-1587	397	5	,	,	PUNCT
cana-1587	397	6	c.	c.	PROPN
cana-1587	397	7	s.	s.	PROPN
cana-1587	398	1	"	"	PUNCT
cana-1587	398	2	expansions	expansion	NOUN
cana-1587	398	3	for	for	ADP
cana-1587	398	4	the	the	DET
cana-1587	398	5	distribution	distribution	NOUN
cana-1587	398	6	and	and	CCONJ
cana-1587	398	7	quantiles	quantile	NOUN
cana-1587	398	8	of	of	ADP
cana-1587	398	9	a	a	DET
cana-1587	398	10	regular	regular	ADJ
cana-1587	398	11	functional	functional	NOUN
cana-1587	398	12	of	of	ADP
cana-1587	398	13	the	the	DET
cana-1587	398	14	empirical	empirical	ADJ
cana-1587	398	15	distribution	distribution	NOUN
cana-1587	398	16	with	with	ADP
cana-1587	398	17	applications	application	NOUN
cana-1587	398	18	to	to	ADP
cana-1587	398	19	non	non	ADJ
cana-1587	398	20	-	-	ADJ
cana-1587	398	21	parametric	parametric	ADJ
cana-1587	398	22	confidence	confidence	NOUN
cana-1587	398	23	intervals	interval	NOUN
cana-1587	398	24	.	.	PUNCT
cana-1587	398	25	"	"	PUNCT
cana-1587	399	1	the	the	DET
cana-1587	399	2	annals	annal	NOUN
cana-1587	399	3	of	of	ADP
cana-1587	399	4	statistics	statistic	NOUN
cana-1587	399	5	11	11	NUM
cana-1587	399	6	,	,	PUNCT
cana-1587	399	7	no	no	INTJ
cana-1587	399	8	.	.	NOUN
cana-1587	399	9	2	2	NUM
cana-1587	399	10	(	(	PUNCT
cana-1587	399	11	1983	1983	NUM
cana-1587	399	12	):	):	PUNCT
cana-1587	399	13	577	577	NUM
cana-1587	399	14	-	-	SYM
cana-1587	399	15	587	587	NUM
cana-1587	399	16	.	.	PUNCT
cana-1587	400	1	[	[	X
cana-1587	400	2	13	13	NUM
cana-1587	400	3	]	]	PUNCT
cana-1587	400	4	serfling	serfling	NOUN
cana-1587	400	5	,	,	PUNCT
cana-1587	400	6	r.j	r.j	PROPN
cana-1587	400	7	.	.	PROPN
cana-1587	400	8	approximation	approximation	NOUN
cana-1587	400	9	theorems	theorem	NOUN
cana-1587	400	10	of	of	ADP
cana-1587	400	11	mathematical	mathematical	ADJ
cana-1587	400	12	statistics	statistic	NOUN
cana-1587	400	13	;	;	PUNCT
cana-1587	400	14	john	john	PROPN
cana-1587	400	15	wiley	wiley	PROPN
cana-1587	400	16	&	&	CCONJ
cana-1587	400	17	sons	son	NOUN
cana-1587	400	18	:	:	PUNCT
cana-1587	400	19	new	new	PROPN
cana-1587	400	20	york	york	PROPN
cana-1587	400	21	,	,	PUNCT
cana-1587	400	22	ny	ny	PROPN
cana-1587	400	23	,	,	PUNCT
cana-1587	400	24	usa	usa	PROPN
cana-1587	400	25	,	,	PUNCT
cana-1587	400	26	1980	1980	NUM
cana-1587	400	27	.	.	PUNCT
cana-1587	401	1	[	[	X
cana-1587	401	2	14	14	NUM
cana-1587	401	3	]	]	X
cana-1587	401	4	ronchetti	ronchetti	PROPN
cana-1587	401	5	,	,	PUNCT
cana-1587	401	6	elvezio	elvezio	PROPN
cana-1587	401	7	.	.	PUNCT
cana-1587	402	1	"	"	PUNCT
cana-1587	402	2	accurate	accurate	ADJ
cana-1587	402	3	and	and	CCONJ
cana-1587	402	4	robust	robust	ADJ
cana-1587	402	5	inference	inference	NOUN
cana-1587	402	6	.	.	PUNCT
cana-1587	402	7	"	"	PUNCT
cana-1587	403	1	econometrics	econometric	NOUN
cana-1587	403	2	and	and	CCONJ
cana-1587	403	3	statistics	statistic	NOUN
cana-1587	403	4	14	14	NUM
cana-1587	403	5	(	(	PUNCT
cana-1587	403	6	2020	2020	NUM
cana-1587	403	7	):	):	PUNCT
cana-1587	403	8	74	74	NUM
cana-1587	403	9	-	-	SYM
cana-1587	403	10	88	88	NUM
cana-1587	403	11	.	.	PUNCT
cana-1587	404	1	[	[	X
cana-1587	404	2	15	15	NUM
cana-1587	404	3	]	]	X
cana-1587	404	4	fiel	fiel	X
cana-1587	404	5	,	,	PUNCT
cana-1587	404	6	c.	c.	PROPN
cana-1587	404	7	a.	a.	PROPN
cana-1587	404	8	,	,	PUNCT
cana-1587	404	9	and	and	CCONJ
cana-1587	404	10	elvezio	elvezio	AUX
cana-1587	404	11	ronchetti	ronchetti	VERB
cana-1587	404	12	.	.	PUNCT
cana-1587	405	1	"	"	PUNCT
cana-1587	405	2	a	a	DET
cana-1587	405	3	tail	tail	NOUN
cana-1587	405	4	area	area	NOUN
cana-1587	405	5	influence	influence	NOUN
cana-1587	405	6	function	function	NOUN
cana-1587	405	7	and	and	CCONJ
cana-1587	405	8	its	its	PRON
cana-1587	405	9	application	application	NOUN
cana-1587	405	10	to	to	ADP
cana-1587	405	11	testing	testing	NOUN
cana-1587	405	12	.	.	PUNCT
cana-1587	405	13	"	"	PUNCT
cana-1587	406	1	sequential	sequential	ADJ
cana-1587	406	2	analysis	analysis	NOUN
cana-1587	406	3	4	4	NUM
cana-1587	406	4	,	,	PUNCT
cana-1587	406	5	no	no	INTJ
cana-1587	406	6	.	.	NOUN
cana-1587	406	7	1	1	NUM
cana-1587	406	8	-	-	SYM
cana-1587	406	9	2	2	NUM
cana-1587	406	10	(	(	PUNCT
cana-1587	406	11	1985	1985	NUM
cana-1587	406	12	):	):	PUNCT
cana-1587	406	13	19	19	NUM
cana-1587	406	14	-	-	SYM
cana-1587	406	15	41	41	NUM
cana-1587	406	16	.	.	PUNCT
cana-1587	407	1	[	[	X
cana-1587	407	2	16	16	NUM
cana-1587	407	3	]	]	SYM
cana-1587	407	4	lugannani	lugannani	PROPN
cana-1587	407	5	,	,	PUNCT
cana-1587	407	6	robert	robert	PROPN
cana-1587	407	7	,	,	PUNCT
cana-1587	407	8	and	and	CCONJ
cana-1587	407	9	stephen	stephen	PROPN
cana-1587	407	10	rice	rice	PROPN
cana-1587	407	11	.	.	PUNCT
cana-1587	408	1	"	"	PUNCT
cana-1587	408	2	saddle	saddle	NOUN
cana-1587	408	3	point	point	NOUN
cana-1587	408	4	approximation	approximation	NOUN
cana-1587	408	5	for	for	ADP
cana-1587	408	6	the	the	DET
cana-1587	408	7	distribution	distribution	NOUN
cana-1587	408	8	of	of	ADP
cana-1587	408	9	the	the	DET
cana-1587	408	10	sum	sum	NOUN
cana-1587	408	11	of	of	ADP
cana-1587	408	12	independent	independent	ADJ
cana-1587	408	13	random	random	ADJ
cana-1587	408	14	variables	variable	NOUN
cana-1587	408	15	.	.	PUNCT
cana-1587	408	16	"	"	PUNCT
cana-1587	409	1	advances	advance	NOUN
cana-1587	409	2	in	in	ADP
cana-1587	409	3	applied	apply	VERB
cana-1587	409	4	probability	probability	NOUN
cana-1587	409	5	12	12	NUM
cana-1587	409	6	,	,	PUNCT
cana-1587	409	7	no	no	INTJ
cana-1587	409	8	.	.	NOUN
cana-1587	409	9	2	2	NUM
cana-1587	409	10	(	(	PUNCT
cana-1587	409	11	1980	1980	NUM
cana-1587	409	12	):	):	PUNCT
cana-1587	409	13	475	475	NUM
cana-1587	409	14	-	-	SYM
cana-1587	409	15	490	490	NUM
cana-1587	409	16	.	.	PUNCT
cana-1587	410	1	[	[	X
cana-1587	410	2	17	17	NUM
cana-1587	410	3	]	]	PUNCT
cana-1587	410	4	garcía	garcía	ADJ
cana-1587	410	5	-	-	PUNCT
cana-1587	410	6	pérez	pérez	NOUN
cana-1587	410	7	,	,	PUNCT
cana-1587	410	8	alfonso	alfonso	PROPN
cana-1587	410	9	.	.	PUNCT
cana-1587	411	1	"	"	PUNCT
cana-1587	411	2	von	von	PROPN
cana-1587	411	3	mises	mises	PROPN
cana-1587	411	4	approximation	approximation	NOUN
cana-1587	411	5	of	of	ADP
cana-1587	411	6	the	the	DET
cana-1587	411	7	critical	critical	ADJ
cana-1587	411	8	value	value	NOUN
cana-1587	411	9	of	of	ADP
cana-1587	411	10	a	a	DET
cana-1587	411	11	test	test	NOUN
cana-1587	411	12	.	.	PUNCT
cana-1587	411	13	"	"	PUNCT
cana-1587	411	14	test	test	NOUN
cana-1587	411	15	12	12	NUM
cana-1587	411	16	(	(	PUNCT
cana-1587	411	17	2003	2003	NUM
cana-1587	411	18	):	):	PUNCT
cana-1587	411	19	385	385	NUM
cana-1587	411	20	-	-	SYM
cana-1587	411	21	411	411	NUM
cana-1587	411	22	.	.	PUNCT