id	sid	tid	token	lemma	pos
easat-3825	1	1	edelweiss	edelweiss	PROPN
easat-3825	1	2	applied	apply	VERB
easat-3825	1	3	science	science	NOUN
easat-3825	1	4	and	and	CCONJ
easat-3825	1	5	technology	technology	NOUN
easat-3825	1	6	issn	issn	PROPN
easat-3825	1	7	:	:	PUNCT
easat-3825	1	8	2576	2576	NUM
easat-3825	1	9	-	-	SYM
easat-3825	1	10	8484	8484	NUM
easat-3825	1	11	vol	vol	NOUN
easat-3825	1	12	.	.	PROPN
easat-3825	1	13	8	8	NUM
easat-3825	1	14	,	,	PUNCT
easat-3825	1	15	no	no	INTJ
easat-3825	1	16	.	.	NOUN
easat-3825	1	17	6	6	NUM
easat-3825	1	18	,	,	PUNCT
easat-3825	1	19	8506	8506	NUM
easat-3825	1	20	-	-	SYM
easat-3825	1	21	8513	8513	NUM
easat-3825	1	22	2024	2024	NUM
easat-3825	1	23	publisher	publisher	NOUN
easat-3825	1	24	:	:	PUNCT
easat-3825	1	25	learning	learn	VERB
easat-3825	1	26	gate	gate	NOUN
easat-3825	1	27	doi	doi	PROPN
easat-3825	1	28	:	:	PUNCT
easat-3825	1	29	10.55214/25768484.v8i6.3825	10.55214/25768484.v8i6.3825	PROPN
easat-3825	1	30	©	©	PROPN
easat-3825	1	31	2024	2024	NUM
easat-3825	1	32	by	by	ADP
easat-3825	1	33	the	the	DET
easat-3825	1	34	authors	author	NOUN
easat-3825	1	35	;	;	PUNCT
easat-3825	1	36	licensee	licensee	PROPN
easat-3825	1	37	learning	learning	NOUN
easat-3825	1	38	gate	gate	NOUN
easat-3825	1	39	©	©	PROPN
easat-3825	1	40	2024	2024	NUM
easat-3825	1	41	by	by	ADP
easat-3825	1	42	the	the	DET
easat-3825	1	43	authors	author	NOUN
easat-3825	1	44	;	;	PUNCT
easat-3825	1	45	licensee	licensee	PROPN
easat-3825	1	46	learning	learn	VERB
easat-3825	1	47	gate	gate	NOUN
easat-3825	1	48	*	*	PUNCT
easat-3825	1	49	correspondence	correspondence	NOUN
easat-3825	1	50	:	:	PUNCT
easat-3825	1	51	haider.raid@uos.edu.iq	haider.raid@uos.edu.iq	ADJ
easat-3825	1	52	comparison	comparison	NOUN
easat-3825	1	53	between	between	ADP
easat-3825	1	54	classical	classical	ADJ
easat-3825	1	55	and	and	CCONJ
easat-3825	1	56	robust	robust	ADJ
easat-3825	1	57	methods	method	NOUN
easat-3825	1	58	for	for	ADP
easat-3825	1	59	linear	linear	PROPN
easat-3825	1	60	model	model	NOUN
easat-3825	1	61	parameters	parameter	NOUN
easat-3825	1	62	in	in	ADP
easat-3825	1	63	the	the	DET
easat-3825	1	64	presence	presence	NOUN
easat-3825	1	65	of	of	ADP
easat-3825	1	66	outlier	outlier	NOUN
easat-3825	1	67	’s	’s	PART
easat-3825	1	68	values	value	NOUN
easat-3825	1	69	hayder	hayder	NOUN
easat-3825	1	70	raaid	raaid	VERB
easat-3825	1	71	talib1	talib1	NOUN
easat-3825	1	72	*	*	PROPN
easat-3825	1	73	,	,	PUNCT
easat-3825	1	74	sarah	sarah	PROPN
easat-3825	1	75	adel	adel	PROPN
easat-3825	1	76	madhloom2	madhloom2	PROPN
easat-3825	1	77	,	,	PUNCT
easat-3825	1	78	kareem	kareem	PROPN
easat-3825	1	79	khalaf	khalaf	PROPN
easat-3825	1	80	aazer3	aazer3	PROPN
easat-3825	2	1	1,3university	1,3university	NUM
easat-3825	2	2	of	of	ADP
easat-3825	2	3	sumer	sumer	PROPN
easat-3825	2	4	/	/	SYM
easat-3825	2	5	college	college	PROPN
easat-3825	2	6	of	of	ADP
easat-3825	2	7	administration	administration	PROPN
easat-3825	2	8	&	&	CCONJ
easat-3825	2	9	economics	economic	NOUN
easat-3825	2	10	;	;	PUNCT
easat-3825	2	11	haider.raid@uos.edu.iq	haider.raid@uos.edu.iq	PROPN
easat-3825	2	12	(	(	PUNCT
easat-3825	2	13	h.r.t	h.r.t	ADJ
easat-3825	2	14	.	.	PUNCT
easat-3825	2	15	)	)	PUNCT
easat-3825	3	1	kareemalataby28@gmail.com	kareemalataby28@gmail.com	PROPN
easat-3825	3	2	(	(	PUNCT
easat-3825	3	3	k.k.a	k.k.a	PROPN
easat-3825	3	4	.	.	PUNCT
easat-3825	3	5	)	)	PUNCT
easat-3825	3	6	.	.	PUNCT
easat-3825	4	1	2middle	2middle	NUM
easat-3825	4	2	technical	technical	PROPN
easat-3825	4	3	university	university	PROPN
easat-3825	4	4	suwaira	suwaira	PROPN
easat-3825	4	5	technical	technical	PROPN
easat-3825	4	6	institute	institute	PROPN
easat-3825	4	7	;	;	PUNCT
easat-3825	4	8	sarah_adel@mtu.edu.iq	sarah_adel@mtu.edu.iq	PROPN
easat-3825	4	9	(	(	PUNCT
easat-3825	4	10	s.a.m	s.a.m	ADJ
easat-3825	4	11	.	.	PUNCT
easat-3825	4	12	)	)	PUNCT
easat-3825	4	13	.	.	PUNCT
easat-3825	5	1	abstract	abstract	ADV
easat-3825	5	2	:	:	PUNCT
easat-3825	5	3	the	the	DET
easat-3825	5	4	subject	subject	NOUN
easat-3825	5	5	of	of	ADP
easat-3825	5	6	regression	regression	NOUN
easat-3825	5	7	is	be	AUX
easat-3825	5	8	one	one	NUM
easat-3825	5	9	of	of	ADP
easat-3825	5	10	the	the	DET
easat-3825	5	11	subjects	subject	NOUN
easat-3825	5	12	that	that	PRON
easat-3825	5	13	has	have	AUX
easat-3825	5	14	become	become	AUX
easat-3825	5	15	widely	widely	ADV
easat-3825	5	16	applied	apply	VERB
easat-3825	5	17	by	by	ADP
easat-3825	5	18	those	those	PRON
easat-3825	5	19	interested	interested	ADJ
easat-3825	5	20	in	in	ADP
easat-3825	5	21	various	various	ADJ
easat-3825	5	22	social	social	ADJ
easat-3825	5	23	and	and	CCONJ
easat-3825	5	24	economic	economic	ADJ
easat-3825	5	25	sciences	science	NOUN
easat-3825	5	26	,	,	PUNCT
easat-3825	5	27	because	because	SCONJ
easat-3825	5	28	it	it	PRON
easat-3825	5	29	describes	describe	VERB
easat-3825	5	30	the	the	DET
easat-3825	5	31	relationship	relationship	NOUN
easat-3825	5	32	between	between	ADP
easat-3825	5	33	variables	variable	NOUN
easat-3825	5	34	in	in	ADP
easat-3825	5	35	the	the	DET
easat-3825	5	36	form	form	NOUN
easat-3825	5	37	of	of	ADP
easat-3825	5	38	an	an	DET
easat-3825	5	39	equation	equation	NOUN
easat-3825	5	40	.	.	PUNCT
easat-3825	6	1	the	the	DET
easat-3825	6	2	linear	linear	ADJ
easat-3825	6	3	equation	equation	NOUN
easat-3825	6	4	that	that	PRON
easat-3825	6	5	includes	include	VERB
easat-3825	6	6	explanatory	explanatory	ADJ
easat-3825	6	7	variables	variable	NOUN
easat-3825	6	8	is	be	AUX
easat-3825	6	9	called	call	VERB
easat-3825	6	10	the	the	DET
easat-3825	6	11	linear	linear	ADJ
easat-3825	6	12	regression	regression	NOUN
easat-3825	6	13	equation	equation	NOUN
easat-3825	6	14	.	.	PUNCT
easat-3825	7	1	to	to	PART
easat-3825	7	2	describe	describe	VERB
easat-3825	7	3	any	any	DET
easat-3825	7	4	phenomenon	phenomenon	NOUN
easat-3825	7	5	using	use	VERB
easat-3825	7	6	regression	regression	NOUN
easat-3825	7	7	models	model	NOUN
easat-3825	7	8	,	,	PUNCT
easat-3825	7	9	the	the	DET
easat-3825	7	10	model	model	NOUN
easat-3825	7	11	assumptions	assumption	NOUN
easat-3825	7	12	must	must	AUX
easat-3825	7	13	be	be	AUX
easat-3825	7	14	met	meet	VERB
easat-3825	7	15	,	,	PUNCT
easat-3825	7	16	as	as	ADV
easat-3825	7	17	well	well	ADV
easat-3825	7	18	as	as	ADP
easat-3825	7	19	the	the	DET
easat-3825	7	20	importance	importance	NOUN
easat-3825	7	21	of	of	ADP
easat-3825	7	22	the	the	DET
easat-3825	7	23	accuracy	accuracy	NOUN
easat-3825	7	24	of	of	ADP
easat-3825	7	25	the	the	DET
easat-3825	7	26	data	datum	NOUN
easat-3825	7	27	and	and	CCONJ
easat-3825	7	28	its	its	PRON
easat-3825	7	29	analysis	analysis	NOUN
easat-3825	7	30	on	on	ADP
easat-3825	7	31	the	the	DET
easat-3825	7	32	accuracy	accuracy	NOUN
easat-3825	7	33	of	of	ADP
easat-3825	7	34	the	the	DET
easat-3825	7	35	results	result	NOUN
easat-3825	7	36	to	to	PART
easat-3825	7	37	be	be	AUX
easat-3825	7	38	achieved	achieve	VERB
easat-3825	7	39	in	in	ADP
easat-3825	7	40	any	any	DET
easat-3825	7	41	scientific	scientific	ADJ
easat-3825	7	42	research	research	NOUN
easat-3825	7	43	.	.	PUNCT
easat-3825	8	1	hence	hence	ADV
easat-3825	8	2	,	,	PUNCT
easat-3825	8	3	the	the	DET
easat-3825	8	4	interest	interest	NOUN
easat-3825	8	5	in	in	ADP
easat-3825	8	6	studying	study	VERB
easat-3825	8	7	the	the	DET
easat-3825	8	8	integrity	integrity	NOUN
easat-3825	8	9	of	of	ADP
easat-3825	8	10	the	the	DET
easat-3825	8	11	data	datum	NOUN
easat-3825	8	12	,	,	PUNCT
easat-3825	8	13	which	which	PRON
easat-3825	8	14	is	be	AUX
easat-3825	8	15	considered	consider	VERB
easat-3825	8	16	a	a	DET
easat-3825	8	17	necessary	necessary	ADJ
easat-3825	8	18	issue	issue	NOUN
easat-3825	8	19	for	for	ADP
easat-3825	8	20	the	the	DET
easat-3825	8	21	integrity	integrity	NOUN
easat-3825	8	22	of	of	ADP
easat-3825	8	23	the	the	DET
easat-3825	8	24	results	result	NOUN
easat-3825	8	25	.	.	PUNCT
easat-3825	9	1	it	it	PRON
easat-3825	9	2	is	be	AUX
easat-3825	9	3	obvious	obvious	ADJ
easat-3825	9	4	in	in	ADP
easat-3825	9	5	any	any	DET
easat-3825	9	6	scientific	scientific	ADJ
easat-3825	9	7	research	research	NOUN
easat-3825	9	8	that	that	PRON
easat-3825	9	9	we	we	PRON
easat-3825	9	10	purify	purify	VERB
easat-3825	9	11	the	the	DET
easat-3825	9	12	data	datum	NOUN
easat-3825	9	13	from	from	ADP
easat-3825	9	14	outliers	outlier	NOUN
easat-3825	9	15	,	,	PUNCT
easat-3825	9	16	if	if	SCONJ
easat-3825	9	17	any	any	PRON
easat-3825	9	18	,	,	PUNCT
easat-3825	9	19	and	and	CCONJ
easat-3825	9	20	then	then	ADV
easat-3825	9	21	the	the	DET
easat-3825	9	22	presence	presence	NOUN
easat-3825	9	23	of	of	ADP
easat-3825	9	24	outliers	outlier	NOUN
easat-3825	9	25	in	in	ADP
easat-3825	9	26	the	the	DET
easat-3825	9	27	selected	select	VERB
easat-3825	9	28	sample	sample	NOUN
easat-3825	9	29	helps	help	VERB
easat-3825	9	30	to	to	PART
easat-3825	9	31	shade	shade	VERB
easat-3825	9	32	the	the	DET
easat-3825	9	33	results	result	NOUN
easat-3825	9	34	of	of	ADP
easat-3825	9	35	the	the	DET
easat-3825	9	36	statistical	statistical	ADJ
easat-3825	9	37	analysis	analysis	NOUN
easat-3825	9	38	,	,	PUNCT
easat-3825	9	39	and	and	CCONJ
easat-3825	9	40	certainly	certainly	ADV
easat-3825	9	41	the	the	DET
easat-3825	9	42	shading	shading	NOUN
easat-3825	9	43	is	be	AUX
easat-3825	9	44	greater	great	ADJ
easat-3825	9	45	the	the	PRON
easat-3825	9	46	greater	great	ADJ
easat-3825	9	47	the	the	DET
easat-3825	9	48	number	number	NOUN
easat-3825	9	49	of	of	ADP
easat-3825	9	50	those	those	DET
easat-3825	9	51	values	value	NOUN
easat-3825	9	52	or	or	CCONJ
easat-3825	9	53	the	the	DET
easat-3825	9	54	greater	great	ADJ
easat-3825	9	55	the	the	DET
easat-3825	9	56	deviation	deviation	NOUN
easat-3825	9	57	of	of	ADP
easat-3825	9	58	these	these	DET
easat-3825	9	59	values	value	NOUN
easat-3825	9	60	from	from	ADP
easat-3825	9	61	the	the	DET
easat-3825	9	62	rest	rest	NOUN
easat-3825	9	63	of	of	ADP
easat-3825	9	64	the	the	DET
easat-3825	9	65	observations	observation	NOUN
easat-3825	9	66	of	of	ADP
easat-3825	9	67	the	the	DET
easat-3825	9	68	selected	select	VERB
easat-3825	9	69	sample	sample	NOUN
easat-3825	9	70	.	.	PUNCT
easat-3825	10	1	the	the	DET
easat-3825	10	2	importance	importance	NOUN
easat-3825	10	3	of	of	ADP
easat-3825	10	4	this	this	DET
easat-3825	10	5	research	research	NOUN
easat-3825	10	6	came	come	VERB
easat-3825	10	7	in	in	ADP
easat-3825	10	8	estimating	estimate	VERB
easat-3825	10	9	the	the	DET
easat-3825	10	10	parameters	parameter	NOUN
easat-3825	10	11	of	of	ADP
easat-3825	10	12	the	the	DET
easat-3825	10	13	regression	regression	NOUN
easat-3825	10	14	model	model	NOUN
easat-3825	10	15	using	use	VERB
easat-3825	10	16	the	the	DET
easat-3825	10	17	usual	usual	ADJ
easat-3825	10	18	methods	method	NOUN
easat-3825	10	19	(	(	PUNCT
easat-3825	10	20	least	least	ADJ
easat-3825	10	21	squares	square	NOUN
easat-3825	10	22	)	)	PUNCT
easat-3825	10	23	and	and	CCONJ
easat-3825	10	24	robust	robust	ADJ
easat-3825	10	25	methods	method	NOUN
easat-3825	10	26	(	(	PUNCT
easat-3825	10	27	m	m	NOUN
easat-3825	10	28	method	method	NOUN
easat-3825	10	29	and	and	CCONJ
easat-3825	10	30	mm	mm	PROPN
easat-3825	10	31	method	method	NOUN
easat-3825	10	32	)	)	PUNCT
easat-3825	10	33	.	.	PUNCT
easat-3825	11	1	the	the	DET
easat-3825	11	2	methods	method	NOUN
easat-3825	11	3	were	be	AUX
easat-3825	11	4	compared	compare	VERB
easat-3825	11	5	using	use	VERB
easat-3825	11	6	the	the	DET
easat-3825	11	7	root	root	NOUN
easat-3825	11	8	mean	mean	ADJ
easat-3825	11	9	square	square	ADJ
easat-3825	11	10	error	error	NOUN
easat-3825	11	11	criterion	criterion	NOUN
easat-3825	11	12	using	use	VERB
easat-3825	11	13	the	the	DET
easat-3825	11	14	simulation	simulation	NOUN
easat-3825	11	15	method	method	NOUN
easat-3825	11	16	,	,	PUNCT
easat-3825	11	17	where	where	SCONJ
easat-3825	11	18	different	different	ADJ
easat-3825	11	19	sample	sample	NOUN
easat-3825	11	20	sizes	size	NOUN
easat-3825	11	21	were	be	AUX
easat-3825	11	22	generated	generate	VERB
easat-3825	11	23	with	with	ADP
easat-3825	11	24	four	four	NUM
easat-3825	11	25	different	different	ADJ
easat-3825	11	26	ratios	ratio	NOUN
easat-3825	11	27	of	of	ADP
easat-3825	11	28	outlier	outlier	NOUN
easat-3825	11	29	’s	’s	PART
easat-3825	11	30	values	value	NOUN
easat-3825	11	31	.	.	PUNCT
easat-3825	12	1	it	it	PRON
easat-3825	12	2	was	be	AUX
easat-3825	12	3	noted	note	VERB
easat-3825	12	4	that	that	SCONJ
easat-3825	12	5	the	the	DET
easat-3825	12	6	superiority	superiority	NOUN
easat-3825	12	7	of	of	ADP
easat-3825	12	8	robust	robust	ADJ
easat-3825	12	9	methods	method	NOUN
easat-3825	12	10	was	be	AUX
easat-3825	12	11	observed	observe	VERB
easat-3825	12	12	for	for	ADP
easat-3825	12	13	all	all	DET
easat-3825	12	14	ratios	ratio	NOUN
easat-3825	12	15	of	of	ADP
easat-3825	12	16	outlier	outlier	NOUN
easat-3825	12	17	’s	’s	PART
easat-3825	12	18	values	value	NOUN
easat-3825	12	19	and	and	CCONJ
easat-3825	12	20	sample	sample	NOUN
easat-3825	12	21	sizes	size	NOUN
easat-3825	12	22	.	.	PUNCT
easat-3825	13	1	keywords	keyword	NOUN
easat-3825	13	2	:	:	PUNCT
easat-3825	14	1	m	m	VERB
easat-3825	14	2	and	and	CCONJ
easat-3825	14	3	mm	mm	PROPN
easat-3825	14	4	methods	method	NOUN
easat-3825	14	5	,	,	PUNCT
easat-3825	14	6	outliers	outlier	NOUN
easat-3825	14	7	values	value	NOUN
easat-3825	14	8	,	,	PUNCT
easat-3825	14	9	robust	robust	ADJ
easat-3825	14	10	methods	method	NOUN
easat-3825	14	11	.	.	PUNCT
easat-3825	15	1	1	1	X
easat-3825	15	2	.	.	X
easat-3825	15	3	introduction	introduction	NOUN
easat-3825	15	4	the	the	DET
easat-3825	15	5	main	main	ADJ
easat-3825	15	6	steps	step	NOUN
easat-3825	15	7	of	of	ADP
easat-3825	15	8	statistics	statistic	NOUN
easat-3825	15	9	were	be	AUX
easat-3825	15	10	divided	divide	VERB
easat-3825	15	11	into	into	ADP
easat-3825	15	12	several	several	ADJ
easat-3825	15	13	stages	stage	NOUN
easat-3825	15	14	,	,	PUNCT
easat-3825	15	15	and	and	CCONJ
easat-3825	15	16	each	each	DET
easat-3825	15	17	stage	stage	NOUN
easat-3825	15	18	became	become	VERB
easat-3825	15	19	a	a	DET
easat-3825	15	20	major	major	ADJ
easat-3825	15	21	field	field	NOUN
easat-3825	15	22	of	of	ADP
easat-3825	15	23	its	its	PRON
easat-3825	15	24	fields	field	NOUN
easat-3825	15	25	,	,	PUNCT
easat-3825	15	26	and	and	CCONJ
easat-3825	15	27	the	the	DET
easat-3825	15	28	most	most	ADV
easat-3825	15	29	important	important	ADJ
easat-3825	15	30	stages	stage	NOUN
easat-3825	15	31	on	on	ADP
easat-3825	15	32	which	which	PRON
easat-3825	15	33	the	the	DET
easat-3825	15	34	accuracy	accuracy	NOUN
easat-3825	15	35	of	of	ADP
easat-3825	15	36	the	the	DET
easat-3825	15	37	results	result	NOUN
easat-3825	15	38	expected	expect	VERB
easat-3825	15	39	from	from	ADP
easat-3825	15	40	the	the	DET
easat-3825	15	41	statistical	statistical	ADJ
easat-3825	15	42	model	model	NOUN
easat-3825	15	43	adopted	adopt	VERB
easat-3825	15	44	in	in	ADP
easat-3825	15	45	the	the	DET
easat-3825	15	46	study	study	NOUN
easat-3825	15	47	is	be	AUX
easat-3825	15	48	based	base	VERB
easat-3825	15	49	is	be	AUX
easat-3825	15	50	the	the	DET
easat-3825	15	51	stage	stage	NOUN
easat-3825	15	52	of	of	ADP
easat-3825	15	53	estimating	estimate	VERB
easat-3825	15	54	the	the	DET
easat-3825	15	55	parameters	parameter	NOUN
easat-3825	15	56	of	of	ADP
easat-3825	15	57	the	the	DET
easat-3825	15	58	model	model	NOUN
easat-3825	15	59	,	,	PUNCT
easat-3825	15	60	because	because	SCONJ
easat-3825	15	61	the	the	DET
easat-3825	15	62	capabilities	capability	NOUN
easat-3825	15	63	of	of	ADP
easat-3825	15	64	the	the	DET
easat-3825	15	65	parameters	parameter	NOUN
easat-3825	15	66	of	of	ADP
easat-3825	15	67	the	the	DET
easat-3825	15	68	model	model	NOUN
easat-3825	15	69	are	be	AUX
easat-3825	15	70	what	what	PRON
easat-3825	15	71	give	give	VERB
easat-3825	15	72	the	the	DET
easat-3825	15	73	character	character	NOUN
easat-3825	15	74	of	of	ADP
easat-3825	15	75	the	the	DET
easat-3825	15	76	phenomenon	phenomenon	NOUN
easat-3825	15	77	to	to	PART
easat-3825	15	78	be	be	AUX
easat-3825	15	79	studied	study	VERB
easat-3825	15	80	,	,	PUNCT
easat-3825	15	81	and	and	CCONJ
easat-3825	15	82	it	it	PRON
easat-3825	15	83	has	have	AUX
easat-3825	15	84	been	be	AUX
easat-3825	15	85	suggested	suggest	VERB
easat-3825	15	86	there	there	PRON
easat-3825	15	87	are	be	VERB
easat-3825	15	88	several	several	ADJ
easat-3825	15	89	statistical	statistical	ADJ
easat-3825	15	90	methods	method	NOUN
easat-3825	15	91	or	or	CCONJ
easat-3825	15	92	methods	method	NOUN
easat-3825	15	93	to	to	PART
easat-3825	15	94	estimate	estimate	VERB
easat-3825	15	95	the	the	DET
easat-3825	15	96	unknown	unknown	ADJ
easat-3825	15	97	parameters	parameter	NOUN
easat-3825	15	98	of	of	ADP
easat-3825	15	99	the	the	DET
easat-3825	15	100	statistical	statistical	ADJ
easat-3825	15	101	model	model	NOUN
easat-3825	15	102	in	in	ADP
easat-3825	15	103	the	the	DET
easat-3825	15	104	event	event	NOUN
easat-3825	15	105	that	that	SCONJ
easat-3825	15	106	a	a	DET
easat-3825	15	107	number	number	NOUN
easat-3825	15	108	of	of	ADP
easat-3825	15	109	assumptions	assumption	NOUN
easat-3825	15	110	or	or	CCONJ
easat-3825	15	111	basic	basic	ADJ
easat-3825	15	112	conditions	condition	NOUN
easat-3825	15	113	are	be	AUX
easat-3825	15	114	met	meet	VERB
easat-3825	15	115	.	.	PUNCT
easat-3825	16	1	among	among	ADP
easat-3825	16	2	the	the	DET
easat-3825	16	3	most	most	ADV
easat-3825	16	4	famous	famous	ADJ
easat-3825	16	5	of	of	ADP
easat-3825	16	6	these	these	DET
easat-3825	16	7	methods	method	NOUN
easat-3825	16	8	is	be	AUX
easat-3825	16	9	the	the	DET
easat-3825	16	10	ordinary	ordinary	ADJ
easat-3825	16	11	least	least	ADJ
easat-3825	16	12	squares	square	NOUN
easat-3825	16	13	(	(	PUNCT
easat-3825	16	14	ols	ol	NOUN
easat-3825	16	15	)	)	PUNCT
easat-3825	16	16	method	method	NOUN
easat-3825	16	17	and	and	CCONJ
easat-3825	16	18	the	the	DET
easat-3825	16	19	maximum	maximum	ADJ
easat-3825	16	20	likelihood	likelihood	NOUN
easat-3825	16	21	method	method	NOUN
easat-3825	16	22	that	that	PRON
easat-3825	16	23	is	be	AUX
easat-3825	16	24	used	use	VERB
easat-3825	16	25	to	to	PART
easat-3825	16	26	estimate	estimate	VERB
easat-3825	16	27	the	the	DET
easat-3825	16	28	parameters	parameter	NOUN
easat-3825	16	29	of	of	ADP
easat-3825	16	30	the	the	DET
easat-3825	16	31	linear	linear	ADJ
easat-3825	16	32	regression	regression	NOUN
easat-3825	16	33	model	model	NOUN
easat-3825	16	34	due	due	ADP
easat-3825	16	35	to	to	ADP
easat-3825	16	36	the	the	DET
easat-3825	16	37	good	good	ADJ
easat-3825	16	38	characteristics	characteristic	NOUN
easat-3825	16	39	of	of	ADP
easat-3825	16	40	the	the	DET
easat-3825	16	41	estimators	estimator	NOUN
easat-3825	16	42	of	of	ADP
easat-3825	16	43	these	these	DET
easat-3825	16	44	methods	method	NOUN
easat-3825	16	45	.	.	PUNCT
easat-3825	17	1	it	it	PRON
easat-3825	17	2	is	be	AUX
easat-3825	17	3	characterized	characterize	VERB
easat-3825	17	4	as	as	ADP
easat-3825	17	5	the	the	DET
easat-3825	17	6	best	good	ADJ
easat-3825	17	7	unbiased	unbiased	ADJ
easat-3825	17	8	linear	linear	ADJ
easat-3825	17	9	estimate	estimate	NOUN
easat-3825	17	10	that	that	PRON
easat-3825	17	11	has	have	VERB
easat-3825	17	12	the	the	DET
easat-3825	17	13	least	least	ADJ
easat-3825	17	14	variance	variance	NOUN
easat-3825	17	15	among	among	ADP
easat-3825	17	16	other	other	ADJ
easat-3825	17	17	unbiased	unbiased	ADJ
easat-3825	17	18	linear	linear	ADJ
easat-3825	17	19	estimates	estimate	NOUN
easat-3825	17	20	.	.	PUNCT
easat-3825	18	1	however	however	ADV
easat-3825	18	2	,	,	PUNCT
easat-3825	18	3	the	the	DET
easat-3825	18	4	development	development	NOUN
easat-3825	18	5	taking	take	VERB
easat-3825	18	6	place	place	NOUN
easat-3825	18	7	in	in	ADP
easat-3825	18	8	the	the	DET
easat-3825	18	9	field	field	NOUN
easat-3825	18	10	of	of	ADP
easat-3825	18	11	scientific	scientific	ADJ
easat-3825	18	12	research	research	NOUN
easat-3825	18	13	has	have	AUX
easat-3825	18	14	imposed	impose	VERB
easat-3825	18	15	itself	itself	PRON
easat-3825	18	16	in	in	ADP
easat-3825	18	17	this	this	DET
easat-3825	18	18	field	field	NOUN
easat-3825	18	19	,	,	PUNCT
easat-3825	18	20	and	and	CCONJ
easat-3825	18	21	the	the	DET
easat-3825	18	22	ideas	idea	NOUN
easat-3825	18	23	and	and	CCONJ
easat-3825	18	24	methods	method	NOUN
easat-3825	18	25	proposed	propose	VERB
easat-3825	18	26	for	for	ADP
easat-3825	18	27	estimation	estimation	NOUN
easat-3825	18	28	methods	method	NOUN
easat-3825	18	29	have	have	AUX
easat-3825	18	30	become	become	VERB
easat-3825	18	31	very	very	ADV
easat-3825	18	32	numerous	numerous	ADJ
easat-3825	18	33	,	,	PUNCT
easat-3825	18	34	as	as	SCONJ
easat-3825	18	35	some	some	PRON
easat-3825	18	36	of	of	ADP
easat-3825	18	37	them	they	PRON
easat-3825	18	38	were	be	AUX
easat-3825	18	39	designed	design	VERB
easat-3825	18	40	to	to	PART
easat-3825	18	41	treat	treat	VERB
easat-3825	18	42	cases	case	NOUN
easat-3825	18	43	related	relate	VERB
easat-3825	18	44	to	to	ADP
easat-3825	18	45	some	some	DET
easat-3825	18	46	phenomena	phenomenon	NOUN
easat-3825	18	47	,	,	PUNCT
easat-3825	18	48	and	and	CCONJ
easat-3825	18	49	another	another	DET
easat-3825	18	50	section	section	NOUN
easat-3825	18	51	was	be	AUX
easat-3825	18	52	developed	develop	VERB
easat-3825	18	53	when	when	SCONJ
easat-3825	18	54	some	some	DET
easat-3825	18	55	values	value	NOUN
easat-3825	18	56	of	of	ADP
easat-3825	18	57	a	a	DET
easat-3825	18	58	phenomenon	phenomenon	NOUN
easat-3825	18	59	behave	behave	VERB
easat-3825	18	60	in	in	ADP
easat-3825	18	61	a	a	DET
easat-3825	18	62	special	special	ADJ
easat-3825	18	63	way	way	NOUN
easat-3825	18	64	that	that	PRON
easat-3825	18	65	differs	differ	VERB
easat-3825	18	66	from	from	ADP
easat-3825	18	67	their	their	PRON
easat-3825	18	68	peers	peer	NOUN
easat-3825	18	69	,	,	PUNCT
easat-3825	18	70	which	which	PRON
easat-3825	18	71	is	be	AUX
easat-3825	18	72	what	what	PRON
easat-3825	18	73	is	be	AUX
easat-3825	18	74	called	call	VERB
easat-3825	18	75	outliers	outlier	NOUN
easat-3825	18	76	.	.	PUNCT
easat-3825	19	1	the	the	DET
easat-3825	19	2	first	first	ADJ
easat-3825	19	3	idea	idea	NOUN
easat-3825	19	4	or	or	CCONJ
easat-3825	19	5	article	article	NOUN
easat-3825	19	6	published	publish	VERB
easat-3825	19	7	about	about	ADP
easat-3825	19	8	the	the	DET
easat-3825	19	9	disturbances	disturbance	NOUN
easat-3825	19	10	caused	cause	VERB
easat-3825	19	11	by	by	ADP
easat-3825	19	12	outliers	outlier	NOUN
easat-3825	19	13	of	of	ADP
easat-3825	19	14	the	the	DET
easat-3825	19	15	least	least	ADJ
easat-3825	19	16	square	square	ADJ
easat-3825	19	17	’s	’s	PART
easat-3825	19	18	method	method	NOUN
easat-3825	19	19	was	be	AUX
easat-3825	19	20	by	by	ADP
easat-3825	19	21	researcher	researcher	PROPN
easat-3825	19	22	legendre	legendre	PROPN
easat-3825	19	23	in	in	ADP
easat-3825	19	24	1815	1815	NUM
easat-3825	19	25	.	.	PUNCT
easat-3825	20	1	[	[	X
easat-3825	20	2	7][9	7][9	X
easat-3825	20	3	]	]	X
easat-3825	20	4	8507	8507	NUM
easat-3825	20	5	edelweiss	edelweiss	PROPN
easat-3825	20	6	applied	apply	VERB
easat-3825	20	7	science	science	NOUN
easat-3825	20	8	and	and	CCONJ
easat-3825	20	9	technology	technology	NOUN
easat-3825	20	10	issn	issn	PROPN
easat-3825	20	11	:	:	PUNCT
easat-3825	20	12	2576	2576	NUM
easat-3825	20	13	-	-	SYM
easat-3825	20	14	8484	8484	NUM
easat-3825	20	15	vol	vol	NOUN
easat-3825	20	16	.	.	PROPN
easat-3825	21	1	8	8	NUM
easat-3825	21	2	,	,	PUNCT
easat-3825	21	3	no	no	INTJ
easat-3825	21	4	.	.	NOUN
easat-3825	22	1	6	6	NUM
easat-3825	22	2	:	:	SYM
easat-3825	22	3	8506	8506	NUM
easat-3825	22	4	-	-	SYM
easat-3825	22	5	8513	8513	NUM
easat-3825	22	6	,	,	PUNCT
easat-3825	22	7	2024	2024	NUM
easat-3825	22	8	doi	doi	NOUN
easat-3825	22	9	:	:	PUNCT
easat-3825	22	10	10.55214/25768484.v8i6.3825	10.55214/25768484.v8i6.3825	PROPN
easat-3825	22	11	©	©	PROPN
easat-3825	22	12	2024	2024	NUM
easat-3825	22	13	by	by	ADP
easat-3825	22	14	the	the	DET
easat-3825	22	15	authors	author	NOUN
easat-3825	22	16	;	;	PUNCT
easat-3825	22	17	licensee	licensee	PROPN
easat-3825	22	18	learning	learning	NOUN
easat-3825	22	19	gate	gate	VERB
easat-3825	22	20	1.1	1.1	NUM
easat-3825	22	21	.	.	PUNCT
easat-3825	23	1	research	research	NOUN
easat-3825	23	2	objective	objective	NOUN
easat-3825	23	3	the	the	DET
easat-3825	23	4	research	research	NOUN
easat-3825	23	5	objective	objective	NOUN
easat-3825	23	6	is	be	AUX
easat-3825	23	7	to	to	PART
easat-3825	23	8	compare	compare	VERB
easat-3825	23	9	the	the	DET
easat-3825	23	10	classical	classical	ADJ
easat-3825	23	11	methods	method	NOUN
easat-3825	23	12	represented	represent	VERB
easat-3825	23	13	by	by	ADP
easat-3825	23	14	the	the	DET
easat-3825	23	15	least	least	ADJ
easat-3825	23	16	squares	square	NOUN
easat-3825	23	17	method	method	VERB
easat-3825	23	18	with	with	ADP
easat-3825	23	19	the	the	DET
easat-3825	23	20	robust	robust	ADJ
easat-3825	23	21	methods	method	NOUN
easat-3825	23	22	represented	represent	VERB
easat-3825	23	23	by	by	ADP
easat-3825	23	24	the	the	DET
easat-3825	23	25	m	m	PROPN
easat-3825	23	26	and	and	CCONJ
easat-3825	23	27	mm	mm	PROPN
easat-3825	23	28	methods	method	NOUN
easat-3825	23	29	using	use	VERB
easat-3825	23	30	the	the	DET
easat-3825	23	31	simulation	simulation	NOUN
easat-3825	23	32	method	method	NOUN
easat-3825	23	33	using	use	VERB
easat-3825	23	34	the	the	DET
easat-3825	23	35	statistical	statistical	ADJ
easat-3825	23	36	indicator	indicator	NOUN
easat-3825	23	37	mean	mean	VERB
easat-3825	23	38	square	square	ADJ
easat-3825	23	39	error	error	NOUN
easat-3825	23	40	(	(	PUNCT
easat-3825	23	41	mse	mse	NOUN
easat-3825	23	42	)	)	PUNCT
easat-3825	23	43	.	.	PUNCT
easat-3825	24	1	1.2	1.2	NUM
easat-3825	24	2	.	.	PUNCT
easat-3825	24	3	outlier	outlier	NOUN
easat-3825	24	4	observation	observation	NOUN
easat-3825	24	5	it	it	PRON
easat-3825	24	6	is	be	AUX
easat-3825	24	7	that	that	DET
easat-3825	24	8	observation	observation	NOUN
easat-3825	24	9	that	that	PRON
easat-3825	24	10	is	be	AUX
easat-3825	24	11	distant	distant	ADJ
easat-3825	24	12	from	from	ADP
easat-3825	24	13	the	the	DET
easat-3825	24	14	rest	rest	NOUN
easat-3825	24	15	of	of	ADP
easat-3825	24	16	the	the	DET
easat-3825	24	17	group	group	NOUN
easat-3825	24	18	’s	’s	PART
easat-3825	24	19	data	datum	NOUN
easat-3825	24	20	for	for	ADP
easat-3825	24	21	any	any	PRON
easat-3825	24	22	of	of	ADP
easat-3825	24	23	the	the	DET
easat-3825	24	24	variables	variable	NOUN
easat-3825	24	25	of	of	ADP
easat-3825	24	26	a	a	DET
easat-3825	24	27	phenomenon	phenomenon	NOUN
easat-3825	24	28	or	or	CCONJ
easat-3825	24	29	a	a	DET
easat-3825	24	30	group	group	NOUN
easat-3825	24	31	of	of	ADP
easat-3825	24	32	phenomena	phenomenon	NOUN
easat-3825	24	33	in	in	ADP
easat-3825	24	34	terms	term	NOUN
easat-3825	24	35	of	of	ADP
easat-3825	24	36	that	that	DET
easat-3825	24	37	value	value	NOUN
easat-3825	24	38	being	be	AUX
easat-3825	24	39	large	large	ADJ
easat-3825	24	40	or	or	CCONJ
easat-3825	24	41	small	small	ADJ
easat-3825	24	42	and	and	CCONJ
easat-3825	24	43	located	locate	VERB
easat-3825	24	44	at	at	ADP
easat-3825	24	45	one	one	NUM
easat-3825	24	46	end	end	NOUN
easat-3825	24	47	of	of	ADP
easat-3825	24	48	the	the	DET
easat-3825	24	49	group	group	NOUN
easat-3825	24	50	of	of	ADP
easat-3825	24	51	observations	observation	NOUN
easat-3825	24	52	arranged	arrange	VERB
easat-3825	24	53	in	in	ADP
easat-3825	24	54	ascending	ascend	VERB
easat-3825	24	55	or	or	CCONJ
easat-3825	24	56	descending	descend	VERB
easat-3825	24	57	order	order	NOUN
easat-3825	24	58	.	.	PUNCT
easat-3825	25	1	it	it	PRON
easat-3825	25	2	is	be	AUX
easat-3825	25	3	statistically	statistically	ADV
easat-3825	25	4	defined	define	VERB
easat-3825	25	5	as	as	ADP
easat-3825	25	6	the	the	DET
easat-3825	25	7	observation	observation	NOUN
easat-3825	25	8	that	that	PRON
easat-3825	25	9	comes	come	VERB
easat-3825	25	10	from	from	ADP
easat-3825	25	11	a	a	DET
easat-3825	25	12	community	community	NOUN
easat-3825	25	13	different	different	ADJ
easat-3825	25	14	from	from	ADP
easat-3825	25	15	the	the	DET
easat-3825	25	16	study	study	NOUN
easat-3825	25	17	population	population	NOUN
easat-3825	25	18	,	,	PUNCT
easat-3825	25	19	but	but	CCONJ
easat-3825	25	20	mathematically	mathematically	ADV
easat-3825	25	21	it	it	PRON
easat-3825	25	22	is	be	AUX
easat-3825	25	23	the	the	DET
easat-3825	25	24	observation	observation	NOUN
easat-3825	25	25	whose	whose	DET
easat-3825	25	26	studentized	studentize	VERB
easat-3825	25	27	residual	residual	ADJ
easat-3825	25	28	(	(	PUNCT
easat-3825	25	29	ri	ri	NOUN
easat-3825	25	30	)	)	PUNCT
easat-3825	25	31	value	value	NOUN
easat-3825	25	32	is	be	AUX
easat-3825	25	33	large	large	ADJ
easat-3825	25	34	compared	compare	VERB
easat-3825	25	35	to	to	ADP
easat-3825	25	36	other	other	ADJ
easat-3825	25	37	observations	observation	NOUN
easat-3825	25	38	in	in	ADP
easat-3825	25	39	the	the	DET
easat-3825	25	40	data	datum	NOUN
easat-3825	25	41	set.[6][12][14	set.[6][12][14	PROPN
easat-3825	25	42	]	]	PUNCT
easat-3825	25	43	anomalous	anomalous	ADJ
easat-3825	25	44	observations	observation	NOUN
easat-3825	25	45	can	can	AUX
easat-3825	25	46	appear	appear	VERB
easat-3825	25	47	in	in	ADP
easat-3825	25	48	more	more	ADJ
easat-3825	25	49	than	than	ADP
easat-3825	25	50	one	one	NUM
easat-3825	25	51	variable	variable	NOUN
easat-3825	25	52	,	,	PUNCT
easat-3825	25	53	as	as	ADP
easat-3825	25	54	in	in	ADP
easat-3825	25	55	the	the	DET
easat-3825	25	56	case	case	NOUN
easat-3825	25	57	of	of	ADP
easat-3825	25	58	multivariate	multivariate	NOUN
easat-3825	25	59	.	.	PUNCT
easat-3825	26	1	the	the	DET
easat-3825	26	2	anomalous	anomalous	ADJ
easat-3825	26	3	observation	observation	NOUN
easat-3825	26	4	takes	take	VERB
easat-3825	26	5	the	the	DET
easat-3825	26	6	form	form	NOUN
easat-3825	26	7	of	of	ADP
easat-3825	26	8	a	a	DET
easat-3825	26	9	vector	vector	NOUN
easat-3825	26	10	or	or	CCONJ
easat-3825	26	11	part	part	NOUN
easat-3825	26	12	of	of	ADP
easat-3825	26	13	a	a	DET
easat-3825	26	14	sub	sub	NOUN
easat-3825	26	15	-	-	NOUN
easat-3825	26	16	vector	vector	NOUN
easat-3825	26	17	.	.	PUNCT
easat-3825	27	1	1.3	1.3	NUM
easat-3825	27	2	.	.	PUNCT
easat-3825	28	1	linear	linear	ADJ
easat-3825	28	2	regression	regression	NOUN
easat-3825	28	3	models	model	VERB
easat-3825	28	4	the	the	DET
easat-3825	28	5	study	study	NOUN
easat-3825	28	6	of	of	ADP
easat-3825	28	7	linear	linear	PROPN
easat-3825	28	8	regression	regression	NOUN
easat-3825	28	9	models	model	NOUN
easat-3825	28	10	came	come	VERB
easat-3825	28	11	to	to	PART
easat-3825	28	12	determine	determine	VERB
easat-3825	28	13	two	two	NUM
easat-3825	28	14	points	point	NOUN
easat-3825	28	15	:	:	PUNCT
easat-3825	28	16	the	the	DET
easat-3825	28	17	first	first	ADJ
easat-3825	28	18	is	be	AUX
easat-3825	28	19	to	to	PART
easat-3825	28	20	define	define	VERB
easat-3825	28	21	the	the	DET
easat-3825	28	22	relationship	relationship	NOUN
easat-3825	28	23	between	between	ADP
easat-3825	28	24	the	the	DET
easat-3825	28	25	two	two	NUM
easat-3825	28	26	variables	variable	NOUN
easat-3825	28	27	from	from	ADP
easat-3825	28	28	the	the	DET
easat-3825	28	29	graph	graph	NOUN
easat-3825	28	30	of	of	ADP
easat-3825	28	31	the	the	DET
easat-3825	28	32	shape	shape	NOUN
easat-3825	28	33	of	of	ADP
easat-3825	28	34	the	the	DET
easat-3825	28	35	regression	regression	NOUN
easat-3825	28	36	line	line	NOUN
easat-3825	28	37	,	,	PUNCT
easat-3825	28	38	and	and	CCONJ
easat-3825	28	39	the	the	DET
easat-3825	28	40	second	second	NOUN
easat-3825	28	41	is	be	AUX
easat-3825	28	42	to	to	PART
easat-3825	28	43	specify	specify	VERB
easat-3825	28	44	the	the	DET
easat-3825	28	45	linear	linear	ADJ
easat-3825	28	46	parameters	parameter	NOUN
easat-3825	28	47	in	in	ADP
easat-3825	28	48	the	the	DET
easat-3825	28	49	model	model	NOUN
easat-3825	28	50	.	.	PUNCT
easat-3825	29	1	most	most	ADJ
easat-3825	29	2	statistical	statistical	ADJ
easat-3825	29	3	studies	study	NOUN
easat-3825	29	4	and	and	CCONJ
easat-3825	29	5	research	research	NOUN
easat-3825	29	6	are	be	AUX
easat-3825	29	7	concerned	concern	VERB
easat-3825	29	8	with	with	ADP
easat-3825	29	9	the	the	DET
easat-3825	29	10	second	second	ADJ
easat-3825	29	11	point	point	NOUN
easat-3825	29	12	.	.	PUNCT
easat-3825	30	1	2	2	X
easat-3825	30	2	.	.	X
easat-3825	30	3	estimation	estimation	NOUN
easat-3825	30	4	methods	method	NOUN
easat-3825	30	5	2.1	2.1	NUM
easat-3825	30	6	.	.	PUNCT
easat-3825	31	1	classic	classic	ADJ
easat-3825	31	2	methods	method	NOUN
easat-3825	31	3	of	of	ADP
easat-3825	31	4	estimation	estimation	NOUN
easat-3825	31	5	there	there	PRON
easat-3825	31	6	are	be	VERB
easat-3825	31	7	several	several	ADJ
easat-3825	31	8	methods	method	NOUN
easat-3825	31	9	for	for	ADP
easat-3825	31	10	estimating	estimate	VERB
easat-3825	31	11	the	the	DET
easat-3825	31	12	parameters	parameter	NOUN
easat-3825	31	13	of	of	ADP
easat-3825	31	14	the	the	DET
easat-3825	31	15	regression	regression	NOUN
easat-3825	31	16	model	model	NOUN
easat-3825	31	17	,	,	PUNCT
easat-3825	31	18	but	but	CCONJ
easat-3825	31	19	these	these	DET
easat-3825	31	20	methods	method	NOUN
easat-3825	31	21	are	be	AUX
easat-3825	31	22	considered	consider	VERB
easat-3825	31	23	vulnerable	vulnerable	ADJ
easat-3825	31	24	,	,	PUNCT
easat-3825	31	25	meaning	mean	VERB
easat-3825	31	26	that	that	SCONJ
easat-3825	31	27	the	the	DET
easat-3825	31	28	presence	presence	NOUN
easat-3825	31	29	of	of	ADP
easat-3825	31	30	anomalies	anomaly	NOUN
easat-3825	31	31	in	in	ADP
easat-3825	31	32	the	the	DET
easat-3825	31	33	data	datum	NOUN
easat-3825	31	34	used	use	VERB
easat-3825	31	35	affects	affect	VERB
easat-3825	31	36	the	the	DET
easat-3825	31	37	properties	property	NOUN
easat-3825	31	38	of	of	ADP
easat-3825	31	39	their	their	PRON
easat-3825	31	40	outputs	output	NOUN
easat-3825	31	41	.	.	PUNCT
easat-3825	32	1	among	among	ADP
easat-3825	32	2	these	these	DET
easat-3825	32	3	methods	method	NOUN
easat-3825	32	4	are	be	AUX
easat-3825	32	5	the	the	DET
easat-3825	32	6	least	least	ADJ
easat-3825	32	7	squares	square	NOUN
easat-3825	32	8	method	method	NOUN
easat-3825	32	9	,	,	PUNCT
easat-3825	32	10	which	which	PRON
easat-3825	32	11	are	be	AUX
easat-3825	32	12	among	among	ADP
easat-3825	32	13	the	the	DET
easat-3825	32	14	most	most	ADV
easat-3825	32	15	famous	famous	ADJ
easat-3825	32	16	and	and	CCONJ
easat-3825	32	17	most	most	ADV
easat-3825	32	18	used	use	VERB
easat-3825	32	19	methods	method	NOUN
easat-3825	32	20	in	in	ADP
easat-3825	32	21	estimating	estimate	VERB
easat-3825	32	22	the	the	DET
easat-3825	32	23	parameters	parameter	NOUN
easat-3825	32	24	of	of	ADP
easat-3825	32	25	the	the	DET
easat-3825	32	26	regression	regression	NOUN
easat-3825	32	27	model	model	NOUN
easat-3825	32	28	.	.	PUNCT
easat-3825	33	1	in	in	ADP
easat-3825	33	2	order	order	NOUN
easat-3825	33	3	to	to	PART
easat-3825	33	4	understand	understand	VERB
easat-3825	33	5	the	the	DET
easat-3825	33	6	method.[3	method.[3	NOUN
easat-3825	33	7	]	]	X
easat-3825	33	8	2.2	2.2	NUM
easat-3825	33	9	.	.	PUNCT
easat-3825	33	10	least	least	ADJ
easat-3825	33	11	square	square	ADJ
easat-3825	33	12	method	method	NOUN
easat-3825	33	13	as	as	SCONJ
easat-3825	33	14	it	it	PRON
easat-3825	33	15	is	be	AUX
easat-3825	33	16	known	know	VERB
easat-3825	33	17	that	that	SCONJ
easat-3825	33	18	the	the	DET
easat-3825	33	19	least	least	ADJ
easat-3825	33	20	squares	square	NOUN
easat-3825	33	21	method	method	NOUN
easat-3825	33	22	is	be	AUX
easat-3825	33	23	based	base	VERB
easat-3825	33	24	on	on	ADP
easat-3825	33	25	the	the	DET
easat-3825	33	26	idea	idea	NOUN
easat-3825	33	27	of	of	ADP
easat-3825	33	28	minimizing	minimize	VERB
easat-3825	33	29	the	the	DET
easat-3825	33	30	sum	sum	NOUN
easat-3825	33	31	of	of	ADP
easat-3825	33	32	squares	square	NOUN
easat-3825	33	33	of	of	ADP
easat-3825	33	34	errors	error	NOUN
easat-3825	33	35	or	or	CCONJ
easat-3825	33	36	residuals	residual	NOUN
easat-3825	33	37	,	,	PUNCT
easat-3825	33	38	and	and	CCONJ
easat-3825	33	39	the	the	DET
easat-3825	33	40	same	same	ADJ
easat-3825	33	41	idea	idea	NOUN
easat-3825	33	42	has	have	AUX
easat-3825	33	43	been	be	AUX
easat-3825	33	44	adopted	adopt	VERB
easat-3825	33	45	in	in	ADP
easat-3825	33	46	the	the	DET
easat-3825	33	47	case	case	NOUN
easat-3825	33	48	of	of	ADP
easat-3825	33	49	linear	linear	PROPN
easat-3825	33	50	models	model	NOUN
easat-3825	33	51	,	,	PUNCT
easat-3825	33	52	so	so	SCONJ
easat-3825	33	53	we	we	PRON
easat-3825	33	54	can	can	AUX
easat-3825	33	55	express	express	VERB
easat-3825	33	56	the	the	DET
easat-3825	33	57	sum	sum	NOUN
easat-3825	33	58	of	of	ADP
easat-3825	33	59	squares	square	NOUN
easat-3825	33	60	of	of	ADP
easat-3825	33	61	residuals	residual	NOUN
easat-3825	33	62	,	,	PUNCT
easat-3825	33	63	also	also	ADV
easat-3825	33	64	called	call	VERB
easat-3825	33	65	classical	classical	ADJ
easat-3825	33	66	least	least	ADJ
easat-3825	33	67	squares	square	NOUN
easat-3825	33	68	,	,	PUNCT
easat-3825	33	69	and	and	CCONJ
easat-3825	33	70	this	this	DET
easat-3825	33	71	method	method	NOUN
easat-3825	33	72	is	be	AUX
easat-3825	33	73	one	one	NUM
easat-3825	33	74	of	of	ADP
easat-3825	33	75	the	the	DET
easat-3825	33	76	widely	widely	ADV
easat-3825	33	77	used	use	VERB
easat-3825	33	78	methods	method	NOUN
easat-3825	33	79	in	in	ADP
easat-3825	33	80	statistical	statistical	ADJ
easat-3825	33	81	applications	application	NOUN
easat-3825	33	82	and	and	CCONJ
easat-3825	33	83	depends	depend	VERB
easat-3825	33	84	on	on	ADP
easat-3825	33	85	the	the	DET
easat-3825	33	86	existence	existence	NOUN
easat-3825	33	87	of	of	ADP
easat-3825	33	88	a	a	DET
easat-3825	33	89	relationship	relationship	NOUN
easat-3825	33	90	between	between	ADP
easat-3825	33	91	two	two	NUM
easat-3825	33	92	or	or	CCONJ
easat-3825	33	93	more	more	ADJ
easat-3825	33	94	variables	variable	NOUN
easat-3825	33	95	.	.	PUNCT
easat-3825	34	1	the	the	DET
easat-3825	34	2	principle	principle	NOUN
easat-3825	34	3	of	of	ADP
easat-3825	34	4	this	this	DET
easat-3825	34	5	method	method	NOUN
easat-3825	34	6	is	be	AUX
easat-3825	34	7	based	base	VERB
easat-3825	34	8	on	on	ADP
easat-3825	34	9	finding	find	VERB
easat-3825	34	10	the	the	DET
easat-3825	34	11	straight	straight	ADJ
easat-3825	34	12	line	line	NOUN
easat-3825	34	13	that	that	PRON
easat-3825	34	14	passes	pass	VERB
easat-3825	34	15	through	through	ADP
easat-3825	34	16	the	the	DET
easat-3825	34	17	points	point	NOUN
easat-3825	34	18	of	of	ADP
easat-3825	34	19	the	the	DET
easat-3825	34	20	diffusion	diffusion	NOUN
easat-3825	34	21	shape	shape	NOUN
easat-3825	34	22	in	in	ADP
easat-3825	34	23	a	a	DET
easat-3825	34	24	way	way	NOUN
easat-3825	34	25	that	that	PRON
easat-3825	34	26	makes	make	VERB
easat-3825	34	27	the	the	DET
easat-3825	34	28	sum	sum	NOUN
easat-3825	34	29	of	of	ADP
easat-3825	34	30	the	the	DET
easat-3825	34	31	squares	square	NOUN
easat-3825	34	32	of	of	ADP
easat-3825	34	33	the	the	DET
easat-3825	34	34	points	point	NOUN
easat-3825	34	35	'	'	PART
easat-3825	34	36	dimensions	dimension	NOUN
easat-3825	34	37	as	as	ADV
easat-3825	34	38	little	little	ADJ
easat-3825	34	39	as	as	ADP
easat-3825	34	40	possible	possible	ADJ
easat-3825	34	41	,	,	PUNCT
easat-3825	34	42	i.e.	i.e.	X
easat-3825	34	43	,	,	PUNCT
easat-3825	34	44	determining	determine	VERB
easat-3825	34	45	the	the	DET
easat-3825	34	46	value	value	NOUN
easat-3825	34	47	(	(	PUNCT
easat-3825	34	48	β	β	NOUN
easat-3825	34	49	)	)	PUNCT
easat-3825	34	50	that	that	PRON
easat-3825	34	51	makes	make	VERB
easat-3825	34	52	this	this	DET
easat-3825	34	53	sum	sum	NOUN
easat-3825	34	54	as	as	ADV
easat-3825	34	55	little	little	ADJ
easat-3825	34	56	as	as	ADP
easat-3825	34	57	possible	possible	ADJ
easat-3825	34	58	.	.	PUNCT
easat-3825	35	1	the	the	DET
easat-3825	35	2	final	final	ADJ
easat-3825	35	3	formulas	formula	NOUN
easat-3825	35	4	for	for	ADP
easat-3825	35	5	the	the	DET
easat-3825	35	6	estimated	estimate	VERB
easat-3825	35	7	parameters	parameter	NOUN
easat-3825	35	8	of	of	ADP
easat-3825	35	9	the	the	DET
easat-3825	35	10	regression	regression	NOUN
easat-3825	35	11	model	model	NOUN
easat-3825	35	12	are:[1][7	are:[1][7	PROPN
easat-3825	35	13	]	]	X
easat-3825	35	14	β̂1	β̂1	PUNCT
easat-3825	36	1	=	=	PUNCT
easat-3825	36	2	∑	∑	PUNCT
easat-3825	36	3	xiyi	xiyi	PROPN
easat-3825	36	4	n	n	PROPN
easat-3825	36	5	i=1	i=1	PROPN
easat-3825	36	6	−	−	PROPN
easat-3825	36	7	ȳ	ȳ	PROPN
easat-3825	36	8	∑	∑	PROPN
easat-3825	36	9	xi	xi	PROPN
easat-3825	36	10	n	n	PROPN
easat-3825	36	11	i=1	i=1	PROPN
easat-3825	36	12	∑	∑	PROPN
easat-3825	36	13	xi	xi	ADP
easat-3825	36	14	2	2	NUM
easat-3825	36	15	−	−	PROPN
easat-3825	36	16	x̄	x̄	NOUN
easat-3825	36	17	∑	∑	PUNCT
easat-3825	36	18	xi	xi	ADP
easat-3825	36	19	n	n	PROPN
easat-3825	36	20	i=1	i=1	PROPN
easat-3825	36	21	n	n	CCONJ
easat-3825	36	22	i=1	i=1	PROPN
easat-3825	36	23	or	or	CCONJ
easat-3825	36	24	β̂1	β̂1	PUNCT
easat-3825	37	1	=	=	PRON
easat-3825	37	2	sxy	sxy	PROPN
easat-3825	37	3	sxx	sxx	PROPN
easat-3825	37	4	(	(	PUNCT
easat-3825	37	5	1	1	X
easat-3825	37	6	)	)	PUNCT
easat-3825	37	7	∴	∴	NOUN
easat-3825	37	8	β̂0	β̂0	PUNCT
easat-3825	38	1	=	=	PUNCT
easat-3825	38	2	∑	∑	PUNCT
easat-3825	38	3	xi	xi	NUM
easat-3825	38	4	2n	2n	NUM
easat-3825	38	5	i=1	i=1	PROPN
easat-3825	38	6	∑	∑	PUNCT
easat-3825	38	7	yi	yi	PROPN
easat-3825	38	8	n	n	PROPN
easat-3825	38	9	i=1	i=1	PROPN
easat-3825	38	10	−	−	PROPN
easat-3825	39	1	(	(	PUNCT
easat-3825	39	2	∑	∑	PROPN
easat-3825	39	3	xi)(∑	xi)(∑	PROPN
easat-3825	39	4	xiyi	xiyi	PROPN
easat-3825	39	5	n	n	PROPN
easat-3825	39	6	i=1	i=1	PROPN
easat-3825	39	7	)	)	PUNCT
easat-3825	39	8	n	n	CCONJ
easat-3825	39	9	i=1	i=1	PROPN
easat-3825	39	10	n	n	PROPN
easat-3825	39	11	∑	∑	ADV
easat-3825	39	12	xi	xi	ADP
easat-3825	39	13	2	2	NUM
easat-3825	39	14	−	−	PROPN
easat-3825	39	15	(	(	PUNCT
easat-3825	39	16	∑	∑	PROPN
easat-3825	39	17	xi	xi	PROPN
easat-3825	39	18	)	)	PUNCT
easat-3825	39	19	2n	2n	NUM
easat-3825	39	20	i=1	i=1	PRON
easat-3825	39	21	n	n	CCONJ
easat-3825	39	22	i=1	i=1	PROPN
easat-3825	39	23	or	or	CCONJ
easat-3825	39	24	β̂0	β̂0	PUNCT
easat-3825	39	25	=	=	PUNCT
easat-3825	39	26	ȳ	ȳ	ADJ
easat-3825	39	27	−	−	NOUN
easat-3825	39	28	β̂1x̄	β̂1x̄	ADJ
easat-3825	39	29	(	(	PUNCT
easat-3825	39	30	2	2	NUM
easat-3825	39	31	)	)	PUNCT
easat-3825	39	32	this	this	PRON
easat-3825	39	33	means	mean	VERB
easat-3825	39	34	that	that	SCONJ
easat-3825	39	35	the	the	DET
easat-3825	39	36	value	value	NOUN
easat-3825	39	37	(	(	PUNCT
easat-3825	39	38	�	�	NOUN
easat-3825	39	39	̂	̂	VERB
easat-3825	39	40	�	�	NOUN
easat-3825	39	41	1	1	NUM
easat-3825	39	42	)	)	PUNCT
easat-3825	39	43	of	of	ADP
easat-3825	39	44	what	what	PRON
easat-3825	39	45	is	be	AUX
easat-3825	39	46	nothing	nothing	PRON
easat-3825	39	47	but	but	SCONJ
easat-3825	39	48	the	the	DET
easat-3825	39	49	quotient	quotient	NOUN
easat-3825	39	50	of	of	ADP
easat-3825	39	51	the	the	DET
easat-3825	39	52	common	common	ADJ
easat-3825	39	53	variance	variance	NOUN
easat-3825	39	54	between	between	ADP
easat-3825	39	55	(	(	PUNCT
easat-3825	39	56	y	y	PROPN
easat-3825	39	57	,	,	PUNCT
easat-3825	39	58	x	x	NOUN
easat-3825	39	59	)	)	PUNCT
easat-3825	39	60	divided	divide	VERB
easat-3825	39	61	by	by	ADP
easat-3825	39	62	the	the	DET
easat-3825	39	63	variance	variance	NOUN
easat-3825	39	64	of	of	ADP
easat-3825	39	65	(	(	PUNCT
easat-3825	39	66	x	x	NOUN
easat-3825	39	67	)	)	PUNCT
easat-3825	39	68	.	.	PUNCT
easat-3825	40	1	the	the	DET
easat-3825	40	2	values	value	NOUN
easat-3825	40	3	of	of	ADP
easat-3825	40	4	(	(	PUNCT
easat-3825	40	5	�	�	PROPN
easat-3825	40	6	̂	̂	VERB
easat-3825	40	7	�	�	NOUN
easat-3825	40	8	1	1	NUM
easat-3825	40	9	)	)	PUNCT
easat-3825	40	10	determine	determine	VERB
easat-3825	40	11	the	the	DET
easat-3825	40	12	best	good	ADJ
easat-3825	40	13	straight	straight	ADJ
easat-3825	40	14	line	line	NOUN
easat-3825	40	15	that	that	PRON
easat-3825	40	16	cuts	cut	VERB
easat-3825	40	17	through	through	ADP
easat-3825	40	18	the	the	DET
easat-3825	40	19	diffusive	diffusive	ADJ
easat-3825	40	20	shape	shape	NOUN
easat-3825	40	21	,	,	PUNCT
easat-3825	40	22	expressing	express	VERB
easat-3825	40	23	the	the	DET
easat-3825	40	24	relationship	relationship	NOUN
easat-3825	40	25	between	between	ADP
easat-3825	40	26	(	(	PUNCT
easat-3825	40	27	y	y	PROPN
easat-3825	40	28	,	,	PUNCT
easat-3825	40	29	x	x	NOUN
easat-3825	40	30	)	)	PUNCT
easat-3825	40	31	.	.	PUNCT
easat-3825	41	1	it	it	PRON
easat-3825	41	2	is	be	AUX
easat-3825	41	3	noted	note	VERB
easat-3825	41	4	that	that	SCONJ
easat-3825	41	5	both	both	PRON
easat-3825	41	6	�	�	PROPN
easat-3825	41	7	̂	̂	VERB
easat-3825	41	8	�	�	NOUN
easat-3825	41	9	0	0	NUM
easat-3825	41	10	and	and	CCONJ
easat-3825	41	11	�	�	PROPN
easat-3825	41	12	̂	̂	VERB
easat-3825	41	13	�	�	NOUN
easat-3825	41	14	1	1	NUM
easat-3825	41	15	are	be	AUX
easat-3825	41	16	a	a	DET
easat-3825	41	17	function	function	NOUN
easat-3825	41	18	of	of	ADP
easat-3825	41	19	the	the	DET
easat-3825	41	20	measurements	measurement	NOUN
easat-3825	41	21	of	of	ADP
easat-3825	41	22	the	the	DET
easat-3825	41	23	sample	sample	NOUN
easat-3825	41	24	items	item	NOUN
easat-3825	41	25	(	(	PUNCT
easat-3825	41	26	𝛽	𝛽	NOUN
easat-3825	41	27	)	)	PUNCT
easat-3825	41	28	.	.	PUNCT
easat-3825	42	1	estimators	estimator	NOUN
easat-3825	42	2	can	can	AUX
easat-3825	42	3	be	be	AUX
easat-3825	42	4	obtained	obtain	VERB
easat-3825	42	5	by	by	ADP
easat-3825	42	6	the	the	DET
easat-3825	42	7	least	least	ADJ
easat-3825	42	8	square	square	ADJ
easat-3825	42	9	method	method	NOUN
easat-3825	42	10	,	,	PUNCT
easat-3825	42	11	which	which	PRON
easat-3825	42	12	will	will	AUX
easat-3825	42	13	be	be	AUX
easat-3825	42	14	as	as	SCONJ
easat-3825	42	15	follows	follow	VERB
easat-3825	42	16	:	:	PUNCT
easat-3825	42	17	β̂	β̂	X
easat-3825	42	18	=	=	SYM
easat-3825	42	19	(	(	PUNCT
easat-3825	42	20	x′x)−1(x′y	x′x)−1(x′y	PROPN
easat-3825	42	21	)	)	PUNCT
easat-3825	42	22	(	(	PUNCT
easat-3825	42	23	3	3	X
easat-3825	42	24	)	)	PUNCT
easat-3825	42	25	8508	8508	NUM
easat-3825	42	26	edelweiss	edelweiss	PROPN
easat-3825	42	27	applied	apply	VERB
easat-3825	42	28	science	science	NOUN
easat-3825	42	29	and	and	CCONJ
easat-3825	42	30	technology	technology	NOUN
easat-3825	42	31	issn	issn	PROPN
easat-3825	42	32	:	:	PUNCT
easat-3825	42	33	2576	2576	NUM
easat-3825	42	34	-	-	SYM
easat-3825	42	35	8484	8484	NUM
easat-3825	42	36	vol	vol	NOUN
easat-3825	42	37	.	.	PROPN
easat-3825	43	1	8	8	NUM
easat-3825	43	2	,	,	PUNCT
easat-3825	43	3	no	no	INTJ
easat-3825	43	4	.	.	NOUN
easat-3825	44	1	6	6	NUM
easat-3825	44	2	:	:	SYM
easat-3825	44	3	8506	8506	NUM
easat-3825	44	4	-	-	SYM
easat-3825	44	5	8513	8513	NUM
easat-3825	44	6	,	,	PUNCT
easat-3825	44	7	2024	2024	NUM
easat-3825	44	8	doi	doi	NOUN
easat-3825	44	9	:	:	PUNCT
easat-3825	44	10	10.55214/25768484.v8i6.3825	10.55214/25768484.v8i6.3825	PROPN
easat-3825	44	11	©	©	PROPN
easat-3825	44	12	2024	2024	NUM
easat-3825	44	13	by	by	ADP
easat-3825	44	14	the	the	DET
easat-3825	44	15	authors	author	NOUN
easat-3825	44	16	;	;	PUNCT
easat-3825	44	17	licensee	licensee	PROPN
easat-3825	44	18	learning	learning	NOUN
easat-3825	44	19	gate	gate	NOUN
easat-3825	44	20	2.3	2.3	NUM
easat-3825	44	21	.	.	PUNCT
easat-3825	45	1	robust	robust	ADJ
easat-3825	45	2	estimation	estimation	NOUN
easat-3825	45	3	following	follow	VERB
easat-3825	45	4	classical	classical	ADJ
easat-3825	45	5	methods	method	NOUN
easat-3825	45	6	in	in	ADP
easat-3825	45	7	estimating	estimate	VERB
easat-3825	45	8	model	model	NOUN
easat-3825	45	9	parameters	parameter	NOUN
easat-3825	45	10	is	be	AUX
easat-3825	45	11	not	not	PART
easat-3825	45	12	safer	safe	ADJ
easat-3825	45	13	than	than	ADP
easat-3825	45	14	applying	apply	VERB
easat-3825	45	15	robust	robust	ADJ
easat-3825	45	16	estimation	estimation	NOUN
easat-3825	45	17	methods	method	NOUN
easat-3825	45	18	because	because	SCONJ
easat-3825	45	19	the	the	DET
easat-3825	45	20	conditions	condition	NOUN
easat-3825	45	21	required	require	VERB
easat-3825	45	22	to	to	PART
easat-3825	45	23	apply	apply	VERB
easat-3825	45	24	classical	classical	ADJ
easat-3825	45	25	methods	method	NOUN
easat-3825	45	26	are	be	AUX
easat-3825	45	27	not	not	PART
easat-3825	45	28	easy	easy	ADJ
easat-3825	45	29	,	,	PUNCT
easat-3825	45	30	such	such	ADJ
easat-3825	45	31	as	as	ADP
easat-3825	45	32	the	the	DET
easat-3825	45	33	absence	absence	NOUN
easat-3825	45	34	of	of	ADP
easat-3825	45	35	outliers	outlier	NOUN
easat-3825	45	36	or	or	CCONJ
easat-3825	45	37	following	follow	VERB
easat-3825	45	38	a	a	DET
easat-3825	45	39	random	random	ADJ
easat-3825	45	40	error	error	NOUN
easat-3825	45	41	distribution	distribution	NOUN
easat-3825	45	42	other	other	ADJ
easat-3825	45	43	than	than	ADP
easat-3825	45	44	the	the	DET
easat-3825	45	45	distribution	distribution	NOUN
easat-3825	45	46	that	that	PRON
easat-3825	45	47	suits	suit	VERB
easat-3825	45	48	the	the	DET
easat-3825	45	49	method	method	NOUN
easat-3825	45	50	adopted	adopt	VERB
easat-3825	45	51	in	in	ADP
easat-3825	45	52	estimation	estimation	NOUN
easat-3825	45	53	,	,	PUNCT
easat-3825	45	54	and	and	CCONJ
easat-3825	45	55	the	the	DET
easat-3825	45	56	presence	presence	NOUN
easat-3825	45	57	of	of	ADP
easat-3825	45	58	a	a	DET
easat-3825	45	59	single	single	ADJ
easat-3825	45	60	outlier	outlier	NOUN
easat-3825	45	61	observation	observation	NOUN
easat-3825	45	62	may	may	AUX
easat-3825	45	63	destroy	destroy	VERB
easat-3825	45	64	the	the	DET
easat-3825	45	65	good	good	ADJ
easat-3825	45	66	advantages	advantage	NOUN
easat-3825	45	67	of	of	ADP
easat-3825	45	68	least	least	ADJ
easat-3825	45	69	squares	square	NOUN
easat-3825	45	70	estimators.[12][17	estimators.[12][17	PROPN
easat-3825	45	71	]	]	X
easat-3825	45	72	2.4	2.4	NUM
easat-3825	45	73	.	.	PUNCT
easat-3825	46	1	m	m	NOUN
easat-3825	46	2	-	-	NOUN
easat-3825	46	3	method	method	NOUN
easat-3825	46	4	this	this	DET
easat-3825	46	5	method	method	NOUN
easat-3825	46	6	is	be	AUX
easat-3825	46	7	considered	consider	VERB
easat-3825	46	8	one	one	NUM
easat-3825	46	9	of	of	ADP
easat-3825	46	10	the	the	DET
easat-3825	46	11	most	most	ADV
easat-3825	46	12	famous	famous	ADJ
easat-3825	46	13	robust	robust	ADJ
easat-3825	46	14	methods	method	NOUN
easat-3825	46	15	and	and	CCONJ
easat-3825	46	16	is	be	AUX
easat-3825	46	17	based	base	VERB
easat-3825	46	18	on	on	ADP
easat-3825	46	19	replacing	replace	VERB
easat-3825	46	20	the	the	DET
easat-3825	46	21	square	square	NOUN
easat-3825	46	22	of	of	ADP
easat-3825	46	23	the	the	DET
easat-3825	46	24	residuals	residual	NOUN
easat-3825	46	25	(	(	PUNCT
easat-3825	46	26	ri	ri	NOUN
easat-3825	46	27	2	2	NUM
easat-3825	46	28	)	)	PUNCT
easat-3825	46	29	used	use	VERB
easat-3825	46	30	in	in	ADP
easat-3825	46	31	the	the	DET
easat-3825	46	32	least	least	ADJ
easat-3825	46	33	square	square	ADJ
easat-3825	46	34	’s	’s	PART
easat-3825	46	35	method	method	NOUN
easat-3825	46	36	with	with	ADP
easat-3825	46	37	another	another	DET
easat-3825	46	38	function	function	NOUN
easat-3825	46	39	for	for	ADP
easat-3825	46	40	the	the	DET
easat-3825	46	41	residuals	residual	NOUN
easat-3825	46	42	while	while	SCONJ
easat-3825	46	43	maintaining	maintain	VERB
easat-3825	46	44	the	the	DET
easat-3825	46	45	main	main	ADJ
easat-3825	46	46	objective	objective	NOUN
easat-3825	46	47	of	of	ADP
easat-3825	46	48	the	the	DET
easat-3825	46	49	method	method	NOUN
easat-3825	46	50	,	,	PUNCT
easat-3825	46	51	which	which	PRON
easat-3825	46	52	is	be	AUX
easat-3825	46	53	to	to	PART
easat-3825	46	54	make	make	VERB
easat-3825	46	55	the	the	DET
easat-3825	46	56	amount	amount	NOUN
easat-3825	46	57	∑	∑	PUNCT
easat-3825	46	58	ρ(ri	ρ(ri	NUM
easat-3825	46	59	)	)	PUNCT
easat-3825	47	1	n	n	CCONJ
easat-3825	47	2	i=1	i=1	X
easat-3825	48	1	the	the	DET
easat-3825	48	2	least	least	ADV
easat-3825	48	3	possible	possible	ADJ
easat-3825	48	4	.	.	PUNCT
easat-3825	49	1	note	note	VERB
easat-3825	49	2	that	that	SCONJ
easat-3825	49	3	ρ(⋅)is	ρ(⋅)is	ADJ
easat-3825	49	4	a	a	DET
easat-3825	49	5	symmetric	symmetric	ADJ
easat-3825	49	6	function	function	NOUN
easat-3825	49	7	with	with	ADP
easat-3825	49	8	a	a	DET
easat-3825	49	9	single	single	ADJ
easat-3825	49	10	minimum	minimum	NOUN
easat-3825	49	11	endpoint	endpoint	NOUN
easat-3825	49	12	at	at	ADP
easat-3825	49	13	zero	zero	NUM
easat-3825	49	14	.	.	PUNCT
easat-3825	50	1	deriving	derive	VERB
easat-3825	50	2	this	this	DET
easat-3825	50	3	function	function	NOUN
easat-3825	50	4	relative	relative	ADJ
easat-3825	50	5	to	to	ADP
easat-3825	50	6	the	the	DET
easat-3825	50	7	regression	regression	NOUN
easat-3825	50	8	parameters	parameter	NOUN
easat-3825	50	9	produces:[2][5	produces:[2][5	NOUN
easat-3825	50	10	]	]	PUNCT
easat-3825	50	11	∑	∑	PUNCT
easat-3825	50	12	ψ(ri)xi	ψ(ri)xi	NOUN
easat-3825	50	13	n	n	NOUN
easat-3825	50	14	i=1	i=1	PROPN
easat-3825	50	15	=	=	SYM
easat-3825	50	16	1	1	NUM
easat-3825	50	17	(	(	PUNCT
easat-3825	50	18	4	4	NUM
easat-3825	50	19	)	)	PUNCT
easat-3825	50	20	where	where	SCONJ
easat-3825	50	21	ψ(⋅	ψ(⋅	NUM
easat-3825	50	22	)	)	PUNCT
easat-3825	50	23	is	be	AUX
easat-3825	50	24	the	the	DET
easat-3825	50	25	derivative	derivative	NOUN
easat-3825	50	26	of	of	ADP
easat-3825	50	27	ρ(⋅	ρ(⋅	NUM
easat-3825	50	28	)	)	PUNCT
easat-3825	50	29	and	and	CCONJ
easat-3825	50	30	is	be	AUX
easat-3825	50	31	called	call	VERB
easat-3825	50	32	the	the	DET
easat-3825	50	33	influence	influence	NOUN
easat-3825	50	34	function	function	NOUN
easat-3825	50	35	,	,	PUNCT
easat-3825	50	36	while	while	SCONJ
easat-3825	50	37	xi	xi	PROPN
easat-3825	50	38	is	be	AUX
easat-3825	50	39	the	the	DET
easat-3825	50	40	set	set	NOUN
easat-3825	50	41	of	of	ADP
easat-3825	50	42	values	value	NOUN
easat-3825	50	43	of	of	ADP
easat-3825	50	44	the	the	DET
easat-3825	50	45	explanatory	explanatory	ADJ
easat-3825	50	46	variables	variable	NOUN
easat-3825	50	47	for	for	ADP
easat-3825	50	48	observation	observation	NOUN
easat-3825	50	49	i.	i.	NOUN
easat-3825	50	50	in	in	ADP
easat-3825	50	51	the	the	DET
easat-3825	50	52	end	end	NOUN
easat-3825	50	53	,	,	PUNCT
easat-3825	50	54	the	the	DET
easat-3825	50	55	m	m	NOUN
easat-3825	50	56	estimators	estimator	NOUN
easat-3825	50	57	are	be	AUX
easat-3825	50	58	obtained	obtain	VERB
easat-3825	50	59	by	by	ADP
easat-3825	50	60	solving	solve	VERB
easat-3825	50	61	nonlinear	nonlinear	ADJ
easat-3825	50	62	equations	equation	NOUN
easat-3825	50	63	,	,	PUNCT
easat-3825	50	64	which	which	PRON
easat-3825	50	65	are	be	AUX
easat-3825	50	66	numbered	number	VERB
easat-3825	50	67	by	by	ADP
easat-3825	50	68	the	the	DET
easat-3825	50	69	number	number	NOUN
easat-3825	50	70	of	of	ADP
easat-3825	50	71	model	model	NOUN
easat-3825	50	72	parameters	parameter	NOUN
easat-3825	50	73	.	.	PUNCT
easat-3825	51	1	this	this	DET
easat-3825	51	2	method	method	NOUN
easat-3825	51	3	has	have	VERB
easat-3825	51	4	advantages	advantage	NOUN
easat-3825	51	5	,	,	PUNCT
easat-3825	51	6	the	the	DET
easat-3825	51	7	most	most	ADV
easat-3825	51	8	important	important	ADJ
easat-3825	51	9	of	of	ADP
easat-3825	51	10	which	which	PRON
easat-3825	51	11	are	be	AUX
easat-3825	51	12	:	:	PUNCT
easat-3825	51	13	1m	1m	NUM
easat-3825	51	14	-	-	PUNCT
easat-3825	51	15	estimators	estimator	NOUN
easat-3825	51	16	are	be	AUX
easat-3825	51	17	identical	identical	ADJ
easat-3825	51	18	to	to	ADP
easat-3825	51	19	ols	ol	NOUN
easat-3825	51	20	estimators	estimator	NOUN
easat-3825	51	21	when	when	SCONJ
easat-3825	51	22	ψ(t	ψ(t	X
easat-3825	51	23	)	)	PUNCT
easat-3825	52	1	=	=	PUNCT
easat-3825	53	1	t.	t.	NOUN
easat-3825	53	2	2the	2the	PROPN
easat-3825	53	3	m	m	NOUN
easat-3825	53	4	method	method	NOUN
easat-3825	53	5	is	be	AUX
easat-3825	53	6	identical	identical	ADJ
easat-3825	53	7	to	to	ADP
easat-3825	53	8	the	the	DET
easat-3825	53	9	l1regression	l1regression	NOUN
easat-3825	53	10	method	method	NOUN
easat-3825	53	11	when	when	SCONJ
easat-3825	53	12	𝜓(𝑡	𝜓(𝑡	NOUN
easat-3825	53	13	)	)	PUNCT
easat-3825	53	14	=	=	SYM
easat-3825	53	15	sin(𝑡	sin(𝑡	PROPN
easat-3825	53	16	)	)	PUNCT
easat-3825	53	17	3the	3the	NUM
easat-3825	53	18	m	m	NOUN
easat-3825	53	19	estimators	estimator	NOUN
easat-3825	53	20	do	do	AUX
easat-3825	53	21	not	not	PART
easat-3825	53	22	have	have	VERB
easat-3825	53	23	the	the	DET
easat-3825	53	24	characteristic	characteristic	NOUN
easat-3825	53	25	of	of	ADP
easat-3825	53	26	(	(	PUNCT
easat-3825	53	27	scale	scale	NOUN
easat-3825	53	28	invariant	invariant	ADJ
easat-3825	53	29	)	)	PUNCT
easat-3825	53	30	.	.	PUNCT
easat-3825	54	1	in	in	ADP
easat-3825	54	2	order	order	NOUN
easat-3825	54	3	for	for	SCONJ
easat-3825	54	4	these	these	DET
easat-3825	54	5	estimators	estimator	NOUN
easat-3825	54	6	to	to	PART
easat-3825	54	7	have	have	VERB
easat-3825	54	8	this	this	DET
easat-3825	54	9	characteristic	characteristic	NOUN
easat-3825	54	10	,	,	PUNCT
easat-3825	54	11	the	the	DET
easat-3825	54	12	random	random	ADJ
easat-3825	54	13	errors	error	NOUN
easat-3825	54	14	must	must	AUX
easat-3825	54	15	be	be	AUX
easat-3825	54	16	standardized	standardize	VERB
easat-3825	54	17	by	by	ADP
easat-3825	54	18	subtracting	subtract	VERB
easat-3825	54	19	the	the	DET
easat-3825	54	20	arithmetic	arithmetic	ADJ
easat-3825	54	21	mean	mean	NOUN
easat-3825	54	22	of	of	ADP
easat-3825	54	23	these	these	DET
easat-3825	54	24	errors	error	NOUN
easat-3825	54	25	from	from	ADP
easat-3825	54	26	them	they	PRON
easat-3825	54	27	and	and	CCONJ
easat-3825	54	28	dividing	divide	VERB
easat-3825	54	29	them	they	PRON
easat-3825	54	30	by	by	ADP
easat-3825	54	31	the	the	DET
easat-3825	54	32	standard	standard	ADJ
easat-3825	54	33	deviations	deviation	NOUN
easat-3825	54	34	,	,	PUNCT
easat-3825	54	35	which	which	PRON
easat-3825	54	36	is	be	AUX
easat-3825	54	37	calculated	calculate	VERB
easat-3825	54	38	in	in	ADP
easat-3825	54	39	a	a	DET
easat-3825	54	40	robust	robust	ADJ
easat-3825	54	41	manner	manner	NOUN
easat-3825	54	42	.	.	PUNCT
easat-3825	55	1	one	one	NUM
easat-3825	55	2	of	of	ADP
easat-3825	55	3	the	the	DET
easat-3825	55	4	most	most	ADV
easat-3825	55	5	reliable	reliable	ADJ
easat-3825	55	6	methods	method	NOUN
easat-3825	55	7	for	for	ADP
easat-3825	55	8	calculating	calculate	VERB
easat-3825	55	9	𝜎	𝜎	PROPN
easat-3825	55	10	∧	∧	PROPN
easat-3825	55	11	is	be	AUX
easat-3825	55	12	the	the	DET
easat-3825	55	13	mad	mad	ADJ
easat-3825	55	14	(	(	PUNCT
easat-3825	55	15	median	median	ADJ
easat-3825	55	16	absolute	absolute	ADJ
easat-3825	55	17	deviation	deviation	NOUN
easat-3825	55	18	)	)	PUNCT
easat-3825	55	19	method	method	NOUN
easat-3825	55	20	,	,	PUNCT
easat-3825	55	21	according	accord	VERB
easat-3825	55	22	to	to	ADP
easat-3825	55	23	which	which	PRON
easat-3825	55	24	the	the	DET
easat-3825	55	25	formula	formula	NOUN
easat-3825	55	26	for	for	ADP
easat-3825	55	27	𝜎	𝜎	PROPN
easat-3825	55	28	∧	∧	PROPN
easat-3825	55	29	is	be	AUX
easat-3825	55	30	as	as	SCONJ
easat-3825	55	31	follows	follow	VERB
easat-3825	55	32	:	:	PUNCT
easat-3825	55	33	𝜎	𝜎	PROPN
easat-3825	55	34	∧	∧	PROPN
easat-3825	55	35	=	=	PUNCT
easat-3825	55	36	c	c	PROPN
easat-3825	55	37	med	med	ADJ
easat-3825	55	38	(	(	PUNCT
easat-3825	55	39	|	|	ADV
easat-3825	55	40	ri	ri	X
easat-3825	55	41	–	–	PUNCT
easat-3825	55	42	med	med	ADJ
easat-3825	55	43	ri	ri	NOUN
easat-3825	56	1	|	|	ADV
easat-3825	56	2	)	)	PUNCT
easat-3825	56	3	i	i	NOUN
easat-3825	56	4	=	=	SYM
easat-3825	56	5	1,2	1,2	NUM
easat-3825	56	6	,	,	PUNCT
easat-3825	56	7	…	…	PUNCT
easat-3825	56	8	,	,	PUNCT
easat-3825	56	9	n	n	CCONJ
easat-3825	56	10	where	where	SCONJ
easat-3825	56	11	c	c	NOUN
easat-3825	56	12	is	be	AUX
easat-3825	56	13	a	a	DET
easat-3825	56	14	constant	constant	ADJ
easat-3825	56	15	quantity	quantity	NOUN
easat-3825	56	16	and	and	CCONJ
easat-3825	56	17	equals	equal	VERB
easat-3825	56	18	1.4826	1.4826	NUM
easat-3825	56	19	.	.	PUNCT
easat-3825	57	1	4since	4since	NUM
easat-3825	57	2	the	the	DET
easat-3825	57	3	resulting	result	VERB
easat-3825	57	4	robust	robust	ADJ
easat-3825	57	5	estimators	estimator	NOUN
easat-3825	57	6	depend	depend	VERB
easat-3825	57	7	on	on	ADP
easat-3825	57	8	the	the	DET
easat-3825	57	9	function	function	NOUN
easat-3825	57	10	ρ(⋅	ρ(⋅	NUM
easat-3825	57	11	)	)	PUNCT
easat-3825	57	12	,	,	PUNCT
easat-3825	57	13	several	several	ADJ
easat-3825	57	14	formulas	formula	NOUN
easat-3825	57	15	for	for	ADP
easat-3825	57	16	this	this	DET
easat-3825	57	17	function	function	NOUN
easat-3825	57	18	have	have	AUX
easat-3825	57	19	been	be	AUX
easat-3825	57	20	proposed	propose	VERB
easat-3825	57	21	.	.	PUNCT
easat-3825	58	1	the	the	DET
easat-3825	58	2	following	follow	VERB
easat-3825	58	3	are	be	AUX
easat-3825	58	4	the	the	DET
easat-3825	58	5	derivatives	derivative	NOUN
easat-3825	58	6	of	of	ADP
easat-3825	58	7	some	some	PRON
easat-3825	58	8	of	of	ADP
easat-3825	58	9	these	these	DET
easat-3825	58	10	proposed	propose	VERB
easat-3825	58	11	formulas:[8][11	formulas:[8][11	PROPN
easat-3825	58	12	]	]	X
easat-3825	58	13	•	•	NUM
easat-3825	58	14	huber	huber	NOUN
easat-3825	58	15	minimax	minimax	NOUN
easat-3825	58	16	function	function	NOUN
easat-3825	58	17	ψ(t	ψ(t	PROPN
easat-3825	58	18	)	)	PUNCT
easat-3825	59	1	=	=	PRON
easat-3825	59	2	{	{	PUNCT
easat-3825	59	3	t	t	X
easat-3825	60	1	if	if	SCONJ
easat-3825	60	2	|	|	ADV
easat-3825	60	3	t	t	NOUN
easat-3825	61	1	|	|	ADV
easat-3825	61	2	<	<	X
easat-3825	61	3	b	b	PROPN
easat-3825	61	4	b	b	X
easat-3825	61	5	sign	sign	NOUN
easat-3825	61	6	(	(	PUNCT
easat-3825	61	7	t	t	NOUN
easat-3825	61	8	)	)	PUNCT
easat-3825	62	1	if	if	SCONJ
easat-3825	62	2	|	|	ADV
easat-3825	62	3	t	t	NOUN
easat-3825	62	4	|	|	ADV
easat-3825	62	5	≥	≥	PROPN
easat-3825	62	6	b	b	PROPN
easat-3825	62	7	(	(	PUNCT
easat-3825	62	8	5	5	NUM
easat-3825	62	9	)	)	PUNCT
easat-3825	62	10	where	where	SCONJ
easat-3825	62	11	b	b	NOUN
easat-3825	62	12	is	be	AUX
easat-3825	62	13	a	a	DET
easat-3825	62	14	constant	constant	ADJ
easat-3825	62	15	.	.	PUNCT
easat-3825	63	1	•	•	NUM
easat-3825	63	2	descending	descend	VERB
easat-3825	63	3	minimax	minimax	NOUN
easat-3825	63	4	function	function	NOUN
easat-3825	63	5	ψ(t	ψ(t	PROPN
easat-3825	63	6	)	)	PUNCT
easat-3825	64	1	=	=	PRON
easat-3825	64	2	{	{	PUNCT
easat-3825	64	3	t	t	X
easat-3825	65	1	if	if	SCONJ
easat-3825	65	2	|	|	ADV
easat-3825	65	3	t	t	NOUN
easat-3825	66	1	|	|	ADV
easat-3825	66	2	<	<	X
easat-3825	66	3	a	a	DET
easat-3825	66	4	b	b	PROPN
easat-3825	66	5	sign	sign	NOUN
easat-3825	66	6	(	(	PUNCT
easat-3825	66	7	t	t	NOUN
easat-3825	66	8	)	)	PUNCT
easat-3825	66	9	tan	tan	PROPN
easat-3825	66	10	h	h	NOUN
easat-3825	66	11	[	[	PUNCT
easat-3825	66	12	1	1	NUM
easat-3825	66	13	2	2	NUM
easat-3825	66	14	b	b	X
easat-3825	66	15	(	(	PUNCT
easat-3825	66	16	c	c	X
easat-3825	66	17	[	[	PUNCT
easat-3825	66	18	t	t	X
easat-3825	66	19	]	]	PUNCT
easat-3825	66	20	)	)	PUNCT
easat-3825	66	21	]	]	PUNCT
easat-3825	67	1	if	if	SCONJ
easat-3825	67	2	a	a	DET
easat-3825	67	3	≤	≤	NUM
easat-3825	67	4	|	|	ADV
easat-3825	67	5	t	t	NOUN
easat-3825	68	1	|	|	ADV
easat-3825	68	2	<	<	X
easat-3825	68	3	c	c	PROPN
easat-3825	68	4	c	c	PROPN
easat-3825	68	5	o.w	o.w	PROPN
easat-3825	68	6	.	.	PROPN
easat-3825	69	1	(	(	PUNCT
easat-3825	69	2	6	6	NUM
easat-3825	69	3	)	)	PUNCT
easat-3825	70	1	where	where	SCONJ
easat-3825	70	2	a	a	DET
easat-3825	70	3	,	,	PUNCT
easat-3825	70	4	b	b	NOUN
easat-3825	70	5	,	,	PUNCT
easat-3825	70	6	and	and	CCONJ
easat-3825	70	7	c	c	PROPN
easat-3825	70	8	are	be	AUX
easat-3825	70	9	constants	constant	NOUN
easat-3825	70	10	.	.	PUNCT
easat-3825	71	1	•	•	NUM
easat-3825	71	2	hampel	hampel	NOUN
easat-3825	71	3	function	function	NOUN
easat-3825	71	4	ψ(t	ψ(t	PROPN
easat-3825	71	5	)	)	PUNCT
easat-3825	72	1	=	=	PRON
easat-3825	72	2	{	{	PUNCT
easat-3825	72	3	t	t	X
easat-3825	73	1	if	if	SCONJ
easat-3825	73	2	|	|	ADV
easat-3825	73	3	t	t	NOUN
easat-3825	74	1	|	|	ADV
easat-3825	74	2	<	<	X
easat-3825	74	3	a	a	DET
easat-3825	74	4	a	a	DET
easat-3825	74	5	sign	sign	NOUN
easat-3825	74	6	(	(	PUNCT
easat-3825	74	7	t	t	NOUN
easat-3825	74	8	)	)	PUNCT
easat-3825	74	9	if	if	SCONJ
easat-3825	74	10	a	a	DET
easat-3825	74	11	≤	≤	NUM
easat-3825	75	1	|	|	ADV
easat-3825	75	2	t	t	NOUN
easat-3825	76	1	|	|	ADV
easat-3825	76	2	<	<	X
easat-3825	76	3	b	b	X
easat-3825	76	4	{	{	PUNCT
easat-3825	76	5	(	(	PUNCT
easat-3825	76	6	c	c	X
easat-3825	76	7	|	|	ADV
easat-3825	76	8	t	t	PROPN
easat-3825	76	9	|	|	ADV
easat-3825	76	10	)	)	PUNCT
easat-3825	76	11	/	/	PUNCT
easat-3825	77	1	(	(	PUNCT
easat-3825	77	2	c	c	NOUN
easat-3825	77	3	d	d	NOUN
easat-3825	77	4	)	)	PUNCT
easat-3825	77	5	}	}	PUNCT
easat-3825	77	6	a	a	DET
easat-3825	77	7	sign	sign	NOUN
easat-3825	77	8	(	(	PUNCT
easat-3825	77	9	t	t	NOUN
easat-3825	77	10	)	)	PUNCT
easat-3825	77	11	if	if	SCONJ
easat-3825	77	12	b	b	X
easat-3825	77	13	≤	≤	X
easat-3825	78	1	|	|	ADV
easat-3825	78	2	t	t	NOUN
easat-3825	79	1	|	|	ADV
easat-3825	79	2	<	<	X
easat-3825	80	1	c	c	X
easat-3825	80	2	o	o	X
easat-3825	80	3	o.w	o.w	PROPN
easat-3825	80	4	.	.	PROPN
easat-3825	81	1	(	(	PUNCT
easat-3825	81	2	7	7	NUM
easat-3825	81	3	)	)	PUNCT
easat-3825	81	4	8509	8509	NUM
easat-3825	81	5	edelweiss	edelweiss	PROPN
easat-3825	81	6	applied	apply	VERB
easat-3825	81	7	science	science	NOUN
easat-3825	81	8	and	and	CCONJ
easat-3825	81	9	technology	technology	NOUN
easat-3825	81	10	issn	issn	PROPN
easat-3825	81	11	:	:	PUNCT
easat-3825	81	12	2576	2576	NUM
easat-3825	81	13	-	-	SYM
easat-3825	81	14	8484	8484	NUM
easat-3825	81	15	vol	vol	NOUN
easat-3825	81	16	.	.	PROPN
easat-3825	81	17	8	8	NUM
easat-3825	81	18	,	,	PUNCT
easat-3825	81	19	no	no	INTJ
easat-3825	81	20	.	.	NOUN
easat-3825	82	1	6	6	NUM
easat-3825	82	2	:	:	SYM
easat-3825	82	3	8506	8506	NUM
easat-3825	82	4	-	-	SYM
easat-3825	82	5	8513	8513	NUM
easat-3825	82	6	,	,	PUNCT
easat-3825	82	7	2024	2024	NUM
easat-3825	82	8	doi	doi	NOUN
easat-3825	82	9	:	:	PUNCT
easat-3825	82	10	10.55214/25768484.v8i6.3825	10.55214/25768484.v8i6.3825	PROPN
easat-3825	82	11	©	©	PROPN
easat-3825	82	12	2024	2024	NUM
easat-3825	82	13	by	by	ADP
easat-3825	82	14	the	the	DET
easat-3825	82	15	authors	author	NOUN
easat-3825	82	16	;	;	PUNCT
easat-3825	82	17	licensee	licensee	PROPN
easat-3825	82	18	learning	learning	NOUN
easat-3825	82	19	gate	gate	NOUN
easat-3825	82	20	where	where	SCONJ
easat-3825	82	21	a	a	DET
easat-3825	82	22	,	,	PUNCT
easat-3825	82	23	b	b	NOUN
easat-3825	82	24	,	,	PUNCT
easat-3825	82	25	and	and	CCONJ
easat-3825	82	26	c	c	PROPN
easat-3825	82	27	are	be	AUX
easat-3825	82	28	constants	constant	NOUN
easat-3825	82	29	.	.	PUNCT
easat-3825	83	1	•	•	NUM
easat-3825	83	2	4	4	X
easat-3825	83	3	)	)	PUNCT
easat-3825	83	4	andrew	andrew	PROPN
easat-3825	83	5	function	function	PROPN
easat-3825	83	6	ψ(t	ψ(t	PROPN
easat-3825	83	7	)	)	PUNCT
easat-3825	84	1	=	=	PRON
easat-3825	84	2	{	{	PUNCT
easat-3825	84	3	sin	sin	NOUN
easat-3825	84	4	(	(	PUNCT
easat-3825	84	5	t	t	NOUN
easat-3825	84	6	)	)	PUNCT
easat-3825	84	7	if	if	SCONJ
easat-3825	84	8	-π	-π	NUM
easat-3825	84	9	≤	≤	NOUN
easat-3825	84	10	t	t	NOUN
easat-3825	84	11	<	<	X
easat-3825	84	12	π	π	X
easat-3825	84	13	o	o	X
easat-3825	84	14	o.w	o.w	PROPN
easat-3825	84	15	.	.	PUNCT
easat-3825	85	1	(	(	PUNCT
easat-3825	85	2	8)	8)	NUM
easat-3825	85	3	•	•	NOUN
easat-3825	85	4	tukey	tukey	NOUN
easat-3825	85	5	function	function	NOUN
easat-3825	85	6	ψ(t	ψ(t	PROPN
easat-3825	85	7	)	)	PUNCT
easat-3825	86	1	=	=	PRON
easat-3825	86	2	{	{	PUNCT
easat-3825	86	3	t	t	PROPN
easat-3825	86	4	(	(	PUNCT
easat-3825	86	5	1	1	NUM
easat-3825	86	6	(	(	PUNCT
easat-3825	86	7	t	t	PROPN
easat-3825	86	8	/	/	SYM
easat-3825	86	9	c	c	NOUN
easat-3825	86	10	)	)	PUNCT
easat-3825	86	11	2	2	NUM
easat-3825	86	12	)	)	SYM
easat-3825	86	13	2	2	NUM
easat-3825	86	14	if	if	SCONJ
easat-3825	86	15	|	|	ADV
easat-3825	86	16	t	t	NOUN
easat-3825	87	1	|	|	ADV
easat-3825	87	2	<	<	X
easat-3825	88	1	c	c	X
easat-3825	88	2	o	o	X
easat-3825	88	3	o.w	o.w	PROPN
easat-3825	88	4	.	.	PROPN
easat-3825	89	1	(	(	PUNCT
easat-3825	89	2	9	9	NUM
easat-3825	89	3	)	)	PUNCT
easat-3825	89	4	2.5	2.5	NUM
easat-3825	89	5	.	.	PUNCT
easat-3825	90	1	mm	mm	PROPN
easat-3825	90	2	estimator	estimator	NOUN
easat-3825	90	3	of	of	ADP
easat-3825	90	4	regression	regression	NOUN
easat-3825	90	5	before	before	SCONJ
easat-3825	90	6	we	we	PRON
easat-3825	90	7	begin	begin	VERB
easat-3825	90	8	to	to	PART
easat-3825	90	9	define	define	VERB
easat-3825	90	10	the	the	DET
easat-3825	90	11	estimator	estimator	NOUN
easat-3825	90	12	of	of	ADP
easat-3825	90	13	mm	mm	PROPN
easat-3825	90	14	,	,	PUNCT
easat-3825	90	15	we	we	PRON
easat-3825	90	16	will	will	AUX
easat-3825	90	17	make	make	VERB
easat-3825	90	18	some	some	DET
easat-3825	90	19	remarks	remark	NOUN
easat-3825	90	20	about	about	ADP
easat-3825	90	21	the	the	DET
easat-3825	90	22	estimation	estimation	NOUN
easat-3825	90	23	of	of	ADP
easat-3825	90	24	(	(	PUNCT
easat-3825	90	25	mm	mm	INTJ
easat-3825	90	26	)	)	PUNCT
easat-3825	90	27	in	in	ADP
easat-3825	90	28	the	the	DET
easat-3825	90	29	framework	framework	NOUN
easat-3825	90	30	of	of	ADP
easat-3825	90	31	standard	standard	ADJ
easat-3825	90	32	regression	regression	NOUN
easat-3825	90	33	.	.	PUNCT
easat-3825	91	1	we	we	PRON
easat-3825	91	2	assume	assume	VERB
easat-3825	91	3	that	that	SCONJ
easat-3825	91	4	(	(	PUNCT
easat-3825	91	5	x	x	X
easat-3825	91	6	)	)	PUNCT
easat-3825	91	7	is	be	AUX
easat-3825	91	8	a	a	DET
easat-3825	91	9	data	data	NOUN
easat-3825	91	10	matrix	matrix	NOUN
easat-3825	91	11	of	of	ADP
easat-3825	91	12	size	size	NOUN
easat-3825	91	13	nxp	nxp	NOUN
easat-3825	91	14	containing	contain	VERB
easat-3825	91	15	the	the	DET
easat-3825	91	16	explanatory	explanatory	ADJ
easat-3825	91	17	variables	variable	NOUN
easat-3825	91	18	in	in	ADP
easat-3825	91	19	columns	column	NOUN
easat-3825	91	20	,	,	PUNCT
easat-3825	91	21	and	and	CCONJ
easat-3825	91	22	we	we	PRON
easat-3825	91	23	assume	assume	VERB
easat-3825	91	24	that	that	SCONJ
easat-3825	91	25	the	the	DET
easat-3825	91	26	data	datum	NOUN
easat-3825	91	27	of	of	ADP
easat-3825	91	28	(	(	PUNCT
easat-3825	91	29	y	y	NOUN
easat-3825	91	30	)	)	PUNCT
easat-3825	91	31	of	of	ADP
easat-3825	91	32	size	size	NOUN
easat-3825	91	33	nx1	nx1	NOUN
easat-3825	91	34	contains	contain	VERB
easat-3825	91	35	the	the	DET
easat-3825	91	36	dependent	dependent	ADJ
easat-3825	91	37	variables	variable	NOUN
easat-3825	91	38	,	,	PUNCT
easat-3825	91	39	and	and	CCONJ
easat-3825	91	40	the	the	DET
easat-3825	91	41	ith	ith	PROPN
easat-3825	91	42	row	row	NOUN
easat-3825	91	43	of	of	ADP
easat-3825	91	44	y	y	PROPN
easat-3825	91	45	,	,	PUNCT
easat-3825	91	46	x	x	PRON
easat-3825	91	47	contains	contain	VERB
easat-3825	91	48	information	information	NOUN
easat-3825	91	49	about	about	ADP
easat-3825	91	50	the	the	DET
easat-3825	91	51	ith	ith	PROPN
easat-3825	91	52	sample	sample	NOUN
easat-3825	91	53	,	,	PUNCT
easat-3825	91	54	which	which	PRON
easat-3825	91	55	is	be	AUX
easat-3825	91	56	denoted	denote	VERB
easat-3825	91	57	by	by	ADP
easat-3825	91	58	(	(	PUNCT
easat-3825	91	59	(	(	PUNCT
easat-3825	91	60	yi	yi	NOUN
easat-3825	91	61	,	,	PUNCT
easat-3825	91	62	xi	xi	ADP
easat-3825	91	63	respectively	respectively	ADV
easat-3825	91	64	)	)	PUNCT
easat-3825	91	65	.	.	PUNCT
easat-3825	92	1	let	let	VERB
easat-3825	92	2	us	we	PRON
easat-3825	92	3	assume	assume	VERB
easat-3825	92	4	a	a	DET
easat-3825	92	5	linear	linear	ADJ
easat-3825	92	6	regression	regression	NOUN
easat-3825	92	7	model	model	NOUN
easat-3825	92	8	,	,	PUNCT
easat-3825	92	9	and	and	CCONJ
easat-3825	92	10	the	the	DET
easat-3825	92	11	least	least	ADJ
easat-3825	92	12	squares	square	NOUN
easat-3825	92	13	estimator	estimator	NOUN
easat-3825	92	14	of	of	ADP
easat-3825	92	15	β	β	PROPN
easat-3825	92	16	is	be	AUX
easat-3825	92	17	defined	define	VERB
easat-3825	92	18	as	as	ADP
easat-3825	92	19	follows:[4	follows:[4	PROPN
easat-3825	92	20	]	]	PUNCT
easat-3825	92	21	β̂ls	β̂ls	NOUN
easat-3825	92	22	  	  	SPACE
easat-3825	92	23	=	=	SYM
easat-3825	92	24	  	  	SPACE
easat-3825	92	25	argmin	argmin	NOUN
easat-3825	92	26	∑	∑	PROPN
easat-3825	92	27	(	(	PUNCT
easat-3825	92	28	 	 	SPACE
easat-3825	92	29	yi	yi	NOUN
easat-3825	92	30	  	  	SPACE
easat-3825	92	31	−	−	PROPN
easat-3825	92	32	  	  	SPACE
easat-3825	92	33	xiβ	xiβ	PROPN
easat-3825	92	34	 	 	SPACE
easat-3825	92	35	)	)	PUNCT
easat-3825	92	36	2	2	NUM
easat-3825	92	37	n	n	SYM
easat-3825	92	38	i=1	i=1	PROPN
easat-3825	92	39	(	(	PUNCT
easat-3825	92	40	10	10	NUM
easat-3825	92	41	)	)	PUNCT
easat-3825	92	42	it	it	PRON
easat-3825	92	43	is	be	AUX
easat-3825	92	44	known	know	VERB
easat-3825	92	45	as	as	ADP
easat-3825	92	46	the	the	DET
easat-3825	92	47	optimal	optimal	ADJ
easat-3825	92	48	estimator	estimator	NOUN
easat-3825	92	49	because	because	SCONJ
easat-3825	92	50	it	it	PRON
easat-3825	92	51	has	have	VERB
easat-3825	92	52	the	the	DET
easat-3825	92	53	least	least	ADJ
easat-3825	92	54	variance	variance	NOUN
easat-3825	92	55	and	and	CCONJ
easat-3825	92	56	is	be	AUX
easat-3825	92	57	an	an	DET
easat-3825	92	58	unbiased	unbiased	ADJ
easat-3825	92	59	estimator	estimator	NOUN
easat-3825	92	60	if	if	SCONJ
easat-3825	92	61	the	the	DET
easat-3825	92	62	error	error	NOUN
easat-3825	92	63	term	term	NOUN
easat-3825	92	64	is	be	AUX
easat-3825	92	65	distributed	distribute	VERB
easat-3825	92	66	normally	normally	ADV
easat-3825	92	67	.	.	PUNCT
easat-3825	93	1	in	in	ADP
easat-3825	93	2	the	the	DET
easat-3825	93	3	event	event	NOUN
easat-3825	93	4	that	that	SCONJ
easat-3825	93	5	the	the	DET
easat-3825	93	6	error	error	NOUN
easat-3825	93	7	comes	come	VERB
easat-3825	93	8	from	from	ADP
easat-3825	93	9	other	other	ADJ
easat-3825	93	10	distributions	distribution	NOUN
easat-3825	93	11	such	such	ADJ
easat-3825	93	12	as	as	ADP
easat-3825	93	13	heavy	heavy	ADJ
easat-3825	93	14	-	-	PUNCT
easat-3825	93	15	tailed	tail	VERB
easat-3825	93	16	distributions	distribution	NOUN
easat-3825	93	17	,	,	PUNCT
easat-3825	93	18	the	the	DET
easat-3825	93	19	least	least	ADJ
easat-3825	93	20	squares	square	NOUN
easat-3825	93	21	estimators	estimator	NOUN
easat-3825	93	22	lose	lose	VERB
easat-3825	93	23	their	their	PRON
easat-3825	93	24	optimality	optimality	NOUN
easat-3825	93	25	in	in	ADP
easat-3825	93	26	reaching	reach	VERB
easat-3825	93	27	the	the	DET
easat-3825	93	28	best	good	ADJ
easat-3825	93	29	estimators	estimator	NOUN
easat-3825	93	30	.	.	PUNCT
easat-3825	94	1	the	the	DET
easat-3825	94	2	robust	robust	ADJ
easat-3825	94	3	estimators	estimator	NOUN
easat-3825	94	4	known	know	VERB
easat-3825	94	5	as	as	ADP
easat-3825	94	6	(	(	PUNCT
easat-3825	94	7	mm	mm	NOUN
easat-3825	94	8	)	)	PUNCT
easat-3825	94	9	estimators	estimator	NOUN
easat-3825	94	10	are	be	AUX
easat-3825	94	11	obtained	obtain	VERB
easat-3825	94	12	by	by	ADP
easat-3825	94	13	replacing	replace	VERB
easat-3825	94	14	the	the	DET
easat-3825	94	15	square	square	NOUN
easat-3825	94	16	of	of	ADP
easat-3825	94	17	the	the	DET
easat-3825	94	18	residuals	residual	NOUN
easat-3825	94	19	in	in	ADP
easat-3825	94	20	the	the	DET
easat-3825	94	21	above	above	ADJ
easat-3825	94	22	equation	equation	NOUN
easat-3825	94	23	used	use	VERB
easat-3825	94	24	in	in	ADP
easat-3825	94	25	the	the	DET
easat-3825	94	26	least	least	ADJ
easat-3825	94	27	square	square	ADJ
easat-3825	94	28	method	method	NOUN
easat-3825	94	29	with	with	ADP
easat-3825	94	30	the	the	DET
easat-3825	94	31	outlier	outlier	NOUN
easat-3825	94	32	function	function	NOUN
easat-3825	94	33	ρ.[10	ρ.[10	X
easat-3825	94	34	]	]	PUNCT
easat-3825	94	35	β̂m	β̂m	ADP
easat-3825	94	36	  	  	SPACE
easat-3825	94	37	=	=	SYM
easat-3825	94	38	  	  	SPACE
easat-3825	94	39	argmin	argmin	VERB
easat-3825	94	40	∑	∑	PROPN
easat-3825	94	41	ρ	ρ	PROPN
easat-3825	94	42	(	(	PUNCT
easat-3825	94	43	 	 	SPACE
easat-3825	94	44	yi	yi	NOUN
easat-3825	94	45	  	  	SPACE
easat-3825	94	46	−	−	PROPN
easat-3825	94	47	 	 	SPACE
easat-3825	94	48	xiβ	xiβ	PROPN
easat-3825	94	49	 	 	SPACE
easat-3825	94	50	)	)	PUNCT
easat-3825	94	51	2	2	NUM
easat-3825	94	52	n	n	NOUN
easat-3825	94	53	i=1	i=1	PRON
easat-3825	94	54	  	  	SPACE
easat-3825	94	55	(	(	PUNCT
easat-3825	94	56	11	11	NUM
easat-3825	94	57	)	)	PUNCT
easat-3825	94	58	the	the	DET
easat-3825	94	59	outlier	outlier	NOUN
easat-3825	94	60	function	function	NOUN
easat-3825	94	61	must	must	AUX
easat-3825	94	62	be	be	AUX
easat-3825	94	63	symmetric	symmetric	ADJ
easat-3825	94	64	and	and	CCONJ
easat-3825	94	65	non	non	ADJ
easat-3825	94	66	-	-	ADJ
easat-3825	94	67	decreasing	decrease	VERB
easat-3825	94	68	(	(	PUNCT
easat-3825	94	69	increasing	increase	VERB
easat-3825	94	70	)	)	PUNCT
easat-3825	94	71	and	and	CCONJ
easat-3825	94	72	be	be	AUX
easat-3825	94	73	ρ(u	ρ(u	NOUN
easat-3825	94	74	)	)	PUNCT
easat-3825	94	75	  	  	SPACE
easat-3825	95	1	=	=	SYM
easat-3825	95	2	  	  	SPACE
easat-3825	95	3	u2	u2	NOUN
easat-3825	95	4	(	(	PUNCT
easat-3825	95	5	12	12	NUM
easat-3825	95	6	)	)	PUNCT
easat-3825	95	7	let	let	VERB
easat-3825	95	8	ri	ri	PRON
easat-3825	95	9	  	  	SPACE
easat-3825	95	10	=	=	SYM
easat-3825	95	11	  	  	SPACE
easat-3825	95	12	yi	yi	PROPN
easat-3825	95	13	  	  	SPACE
easat-3825	95	14	−	−	PROPN
easat-3825	95	15	  	  	SPACE
easat-3825	95	16	xiβ	xiβ	PROPN
easat-3825	95	17	it	it	PRON
easat-3825	95	18	refers	refer	VERB
easat-3825	95	19	to	to	ADP
easat-3825	95	20	the	the	DET
easat-3825	95	21	residuals	residual	NOUN
easat-3825	95	22	in	in	ADP
easat-3825	95	23	the	the	DET
easat-3825	95	24	objective	objective	ADJ
easat-3825	95	25	function	function	NOUN
easat-3825	95	26	.	.	PUNCT
easat-3825	96	1	the	the	DET
easat-3825	96	2	weight	weight	NOUN
easat-3825	96	3	for	for	ADP
easat-3825	96	4	observation	observation	NOUN
easat-3825	96	5	i	i	PRON
easat-3825	96	6	is	be	AUX
easat-3825	96	7	defined	define	VERB
easat-3825	96	8	as	as	SCONJ
easat-3825	96	9	follows	follow	VERB
easat-3825	96	10	:	:	PUNCT
easat-3825	96	11	wi	wi	PROPN
easat-3825	96	12	r	r	NOUN
easat-3825	96	13	  	  	SPACE
easat-3825	96	14	=	=	NOUN
easat-3825	96	15	 	 	SPACE
easat-3825	96	16	ρ(ri	ρ(ri	NUM
easat-3825	96	17	)	)	PUNCT
easat-3825	96	18	 	 	SPACE
easat-3825	96	19	/	/	SYM
easat-3825	96	20	 	 	SPACE
easat-3825	96	21	ri	ri	PROPN
easat-3825	96	22	2	2	NUM
easat-3825	96	23	(	(	PUNCT
easat-3825	96	24	13	13	NUM
easat-3825	96	25	)	)	PUNCT
easat-3825	96	26	β̂m	β̂m	NOUN
easat-3825	96	27	  	  	SPACE
easat-3825	96	28	=	=	NOUN
easat-3825	96	29	  	  	SPACE
easat-3825	96	30	argmin	argmin	VERB
easat-3825	96	31	∑	∑	PROPN
easat-3825	96	32	wi	wi	PROPN
easat-3825	96	33	r	r	PROPN
easat-3825	96	34	(	(	PUNCT
easat-3825	96	35	 	 	SPACE
easat-3825	96	36	yi	yi	NOUN
easat-3825	96	37	  	  	SPACE
easat-3825	97	1	−	−	PROPN
easat-3825	97	2	  	  	SPACE
easat-3825	97	3	xiβ	xiβ	PROPN
easat-3825	97	4	 	 	SPACE
easat-3825	97	5	)	)	PUNCT
easat-3825	97	6	2	2	NUM
easat-3825	97	7	n	n	SYM
easat-3825	97	8	i=1	i=1	PROPN
easat-3825	97	9	(	(	PUNCT
easat-3825	97	10	14	14	NUM
easat-3825	97	11	)	)	PUNCT
easat-3825	97	12	the	the	DET
easat-3825	97	13	estimator	estimator	NOUN
easat-3825	97	14	(	(	PUNCT
easat-3825	97	15	mm	mm	PROPN
easat-3825	97	16	)	)	PUNCT
easat-3825	97	17	represents	represent	VERB
easat-3825	97	18	the	the	DET
easat-3825	97	19	weighted	weight	VERB
easat-3825	97	20	least	least	ADJ
easat-3825	97	21	squares	square	NOUN
easat-3825	97	22	(	(	PUNCT
easat-3825	97	23	ls	ls	PROPN
easat-3825	97	24	)	)	PUNCT
easat-3825	97	25	and	and	CCONJ
easat-3825	97	26	the	the	DET
easat-3825	97	27	weights	weight	NOUN
easat-3825	97	28	depend	depend	VERB
easat-3825	97	29	on	on	ADP
easat-3825	97	30	the	the	DET
easat-3825	97	31	estimator	estimator	NOUN
easat-3825	97	32	β	β	PROPN
easat-3825	97	33	.	.	PUNCT
easat-3825	98	1	the	the	DET
easat-3825	98	2	mm	mm	PROPN
easat-3825	98	3	regression	regression	NOUN
easat-3825	98	4	estimator	estimator	NOUN
easat-3825	98	5	provides	provide	VERB
easat-3825	98	6	immunity	immunity	NOUN
easat-3825	98	7	against	against	ADP
easat-3825	98	8	only	only	ADV
easat-3825	98	9	vertical	vertical	ADJ
easat-3825	98	10	outliers	outlier	NOUN
easat-3825	98	11	which	which	PRON
easat-3825	98	12	are	be	AUX
easat-3825	98	13	within	within	ADP
easat-3825	98	14	the	the	DET
easat-3825	98	15	error	error	NOUN
easat-3825	98	16	range	range	NOUN
easat-3825	98	17	.	.	PUNCT
easat-3825	99	1	the	the	DET
easat-3825	99	2	other	other	ADJ
easat-3825	99	3	types	type	NOUN
easat-3825	99	4	of	of	ADP
easat-3825	99	5	outliers	outlier	NOUN
easat-3825	99	6	are	be	AUX
easat-3825	99	7	the	the	DET
easat-3825	99	8	leverage	leverage	NOUN
easat-3825	99	9	points	point	NOUN
easat-3825	99	10	which	which	PRON
easat-3825	99	11	come	come	VERB
easat-3825	99	12	from	from	ADP
easat-3825	99	13	observations	observation	NOUN
easat-3825	99	14	xi	xi	X
easat-3825	99	15	which	which	PRON
easat-3825	99	16	are	be	AUX
easat-3825	99	17	within	within	ADP
easat-3825	99	18	the	the	DET
easat-3825	99	19	prediction	prediction	NOUN
easat-3825	99	20	range	range	NOUN
easat-3825	99	21	.	.	PUNCT
easat-3825	100	1	the	the	DET
easat-3825	100	2	mm	mm	PROPN
easat-3825	100	3	robust	robust	ADJ
easat-3825	100	4	estimator	estimator	NOUN
easat-3825	100	5	provides	provide	VERB
easat-3825	100	6	protection	protection	NOUN
easat-3825	100	7	against	against	ADP
easat-3825	100	8	both	both	DET
easat-3825	100	9	vertical	vertical	ADJ
easat-3825	100	10	outliers	outlier	NOUN
easat-3825	100	11	and	and	CCONJ
easat-3825	100	12	leverage	leverage	NOUN
easat-3825	100	13	points	point	NOUN
easat-3825	100	14	.	.	PUNCT
easat-3825	101	1	therefore	therefore	ADV
easat-3825	101	2	,	,	PUNCT
easat-3825	101	3	the	the	DET
easat-3825	101	4	mm	mm	PROPN
easat-3825	101	5	robust	robust	ADJ
easat-3825	101	6	estimator	estimator	NOUN
easat-3825	101	7	is	be	AUX
easat-3825	101	8	as	as	ADP
easat-3825	101	9	follows:[6][18	follows:[6][18	PROPN
easat-3825	101	10	]	]	PUNCT
easat-3825	101	11	β̂rm	β̂rm	NOUN
easat-3825	101	12	=	=	SYM
easat-3825	101	13	argminβ	argminβ	NOUN
easat-3825	101	14	∑	∑	PUNCT
easat-3825	101	15	wir	wir	VERB
easat-3825	101	16	n	n	PROPN
easat-3825	101	17	i=1	i=1	PROPN
easat-3825	101	18	wix	wix	PROPN
easat-3825	101	19	(	(	PUNCT
easat-3825	101	20	 	 	SPACE
easat-3825	101	21	yi	yi	NOUN
easat-3825	101	22	  	  	SPACE
easat-3825	101	23	−	−	PROPN
easat-3825	101	24	  	  	SPACE
easat-3825	101	25	xiβ	xiβ	PROPN
easat-3825	101	26	 	 	SPACE
easat-3825	101	27	)	)	PUNCT
easat-3825	101	28	2	2	NUM
easat-3825	101	29	(	(	PUNCT
easat-3825	101	30	15	15	NUM
easat-3825	101	31	)	)	PUNCT
easat-3825	101	32	  	  	SPACE
easat-3825	101	33	2.6	2.6	NUM
easat-3825	101	34	.	.	PUNCT
easat-3825	102	1	data	datum	NOUN
easat-3825	102	2	generation	generation	NOUN
easat-3825	102	3	there	there	PRON
easat-3825	102	4	are	be	VERB
easat-3825	102	5	several	several	ADJ
easat-3825	102	6	methods	method	NOUN
easat-3825	102	7	for	for	ADP
easat-3825	102	8	generating	generate	VERB
easat-3825	102	9	random	random	ADJ
easat-3825	102	10	data	datum	NOUN
easat-3825	102	11	that	that	PRON
easat-3825	102	12	follow	follow	VERB
easat-3825	102	13	a	a	DET
easat-3825	102	14	normal	normal	ADJ
easat-3825	102	15	distribution	distribution	NOUN
easat-3825	102	16	,	,	PUNCT
easat-3825	102	17	including	include	VERB
easat-3825	102	18	the	the	DET
easat-3825	102	19	box	box	NOUN
easat-3825	102	20	-	-	PUNCT
easat-3825	102	21	muller	muller	NOUN
easat-3825	102	22	method	method	NOUN
easat-3825	102	23	and	and	CCONJ
easat-3825	102	24	the	the	DET
easat-3825	102	25	approximate	approximate	ADJ
easat-3825	102	26	asymptotical	asymptotical	ADJ
easat-3825	102	27	method	method	NOUN
easat-3825	102	28	,	,	PUNCT
easat-3825	102	29	and	and	CCONJ
easat-3825	102	30	the	the	DET
easat-3825	102	31	box	box	NOUN
easat-3825	102	32	-	-	PUNCT
easat-3825	102	33	muller	muller	NOUN
easat-3825	102	34	method	method	NOUN
easat-3825	102	35	is	be	AUX
easat-3825	102	36	more	more	ADV
easat-3825	102	37	popular	popular	ADJ
easat-3825	102	38	for	for	ADP
easat-3825	102	39	its	its	PRON
easat-3825	102	40	ease	ease	NOUN
easat-3825	102	41	of	of	ADP
easat-3825	102	42	use	use	NOUN
easat-3825	102	43	and	and	CCONJ
easat-3825	102	44	accuracy	accuracy	NOUN
easat-3825	102	45	of	of	ADP
easat-3825	102	46	its	its	PRON
easat-3825	102	47	results	result	NOUN
easat-3825	102	48	,	,	PUNCT
easat-3825	102	49	and	and	CCONJ
easat-3825	102	50	for	for	ADP
easat-3825	102	51	generating	generate	VERB
easat-3825	102	52	data	datum	NOUN
easat-3825	102	53	distributed	distribute	VERB
easat-3825	102	54	according	accord	VERB
easat-3825	102	55	to	to	ADP
easat-3825	102	56	a	a	DET
easat-3825	102	57	multivariate	multivariate	NOUN
easat-3825	102	58	normal	normal	ADJ
easat-3825	102	59	distribution	distribution	NOUN
easat-3825	102	60	with	with	ADP
easat-3825	102	61	a	a	DET
easat-3825	102	62	mean	mean	ADJ
easat-3825	102	63	vector	vector	NOUN
easat-3825	102	64	μ	μ	PROPN
easat-3825	102	65	and	and	CCONJ
easat-3825	102	66	a	a	DET
easat-3825	102	67	variance	variance	NOUN
easat-3825	102	68	matrix	matrix	NOUN
easat-3825	102	69			NUM
easat-3825	102	70	,	,	PUNCT
easat-3825	102	71	x	x	NOUN
easat-3825	102	72			X
easat-3825	102	73	n	n	CCONJ
easat-3825	102	74	(	(	PUNCT
easat-3825	102	75	μ	μ	NOUN
easat-3825	102	76	,	,	PUNCT
easat-3825	102	77			NUM
easat-3825	102	78	)	)	PUNCT
easat-3825	102	79	,	,	PUNCT
easat-3825	102	80	by	by	ADP
easat-3825	102	81	following	follow	VERB
easat-3825	102	82	the	the	DET
easat-3825	102	83	following	following	ADJ
easat-3825	102	84	algorithm	algorithm	NOUN
easat-3825	102	85	:	:	PUNCT
easat-3825	102	86	8510	8510	NUM
easat-3825	102	87	edelweiss	edelweiss	PROPN
easat-3825	102	88	applied	apply	VERB
easat-3825	102	89	science	science	NOUN
easat-3825	102	90	and	and	CCONJ
easat-3825	102	91	technology	technology	NOUN
easat-3825	102	92	issn	issn	PROPN
easat-3825	102	93	:	:	PUNCT
easat-3825	102	94	2576	2576	NUM
easat-3825	102	95	-	-	SYM
easat-3825	102	96	8484	8484	NUM
easat-3825	102	97	vol	vol	NOUN
easat-3825	102	98	.	.	PROPN
easat-3825	102	99	8	8	NUM
easat-3825	102	100	,	,	PUNCT
easat-3825	102	101	no	no	INTJ
easat-3825	102	102	.	.	NOUN
easat-3825	103	1	6	6	NUM
easat-3825	103	2	:	:	SYM
easat-3825	103	3	8506	8506	NUM
easat-3825	103	4	-	-	SYM
easat-3825	103	5	8513	8513	NUM
easat-3825	103	6	,	,	PUNCT
easat-3825	103	7	2024	2024	NUM
easat-3825	103	8	doi	doi	NOUN
easat-3825	103	9	:	:	PUNCT
easat-3825	103	10	10.55214/25768484.v8i6.3825	10.55214/25768484.v8i6.3825	PROPN
easat-3825	103	11	©	©	PROPN
easat-3825	103	12	2024	2024	NUM
easat-3825	103	13	by	by	ADP
easat-3825	103	14	the	the	DET
easat-3825	103	15	authors	author	NOUN
easat-3825	103	16	;	;	PUNCT
easat-3825	103	17	licensee	licensee	PROPN
easat-3825	103	18	learning	learning	NOUN
easat-3825	103	19	gate	gate	NOUN
easat-3825	103	20	1	1	NUM
easat-3825	103	21	.	.	PUNCT
easat-3825	104	1	generating	generate	VERB
easat-3825	104	2	zi	zi	NOUN
easat-3825	104	3	values	value	NOUN
easat-3825	104	4	using	use	VERB
easat-3825	104	5	the	the	DET
easat-3825	104	6	(	(	PUNCT
easat-3825	104	7	box	box	NOUN
easat-3825	104	8	muller	muller	NOUN
easat-3825	104	9	)	)	PUNCT
easat-3825	104	10	method	method	PROPN
easat-3825	104	11	zi	zi	PROPN
easat-3825	104	12			PUNCT
easat-3825	104	13	n	n	CCONJ
easat-3825	104	14	(	(	PUNCT
easat-3825	104	15	0	0	NUM
easat-3825	104	16	,	,	PUNCT
easat-3825	104	17	1	1	NUM
easat-3825	104	18	)	)	PUNCT
easat-3825	104	19	,	,	PUNCT
easat-3825	104	20	i=	i=	PROPN
easat-3825	104	21	1	1	NUM
easat-3825	104	22	,	,	PUNCT
easat-3825	104	23	2	2	NUM
easat-3825	104	24	,	,	PUNCT
easat-3825	104	25	…	…	PUNCT
easat-3825	104	26	p	p	NOUN
easat-3825	104	27	z	z	PROPN
easat-3825	104	28			ADJ
easat-3825	104	29	mnp	mnp	NOUN
easat-3825	104	30	(	(	PUNCT
easat-3825	104	31	0	0	NUM
easat-3825	104	32	,	,	PUNCT
easat-3825	104	33	1	1	NUM
easat-3825	104	34	)	)	PUNCT
easat-3825	104	35	since	since	SCONJ
easat-3825	104	36	z	z	NOUN
easat-3825	104	37	is	be	AUX
easat-3825	104	38	an	an	DET
easat-3825	104	39	nxp	nxp	NOUN
easat-3825	104	40	matrix	matrix	NOUN
easat-3825	104	41	.	.	PUNCT
easat-3825	105	1	2	2	X
easat-3825	105	2	.	.	X
easat-3825	105	3	partition	partition	NOUN
easat-3825	105	4	of	of	ADP
easat-3825	105	5	the	the	DET
easat-3825	105	6	variance	variance	NOUN
easat-3825	105	7	matrix	matrix	NOUN
easat-3825	105	8			ADJ
easat-3825	105	9	using	use	VERB
easat-3825	105	10	the	the	DET
easat-3825	105	11	(	(	PUNCT
easat-3825	105	12	cholesky	cholesky	ADJ
easat-3825	105	13	decomposition	decomposition	NOUN
easat-3825	105	14	)	)	PUNCT
easat-3825	105	15	method	method	NOUN
easat-3825	105	16	to	to	PART
easat-3825	105	17	obtain	obtain	VERB
easat-3825	105	18	c.	c.	NOUN
easat-3825	105	19	c′c	c′c	NOUN
easat-3825	106	1	=	=	NOUN
easat-3825	106	2			X
easat-3825	106	3	where	where	SCONJ
easat-3825	106	4	c	c	NOUN
easat-3825	106	5	is	be	AUX
easat-3825	106	6	a	a	DET
easat-3825	106	7	lower	low	ADJ
easat-3825	106	8	triangular	triangular	NOUN
easat-3825	106	9	matrix	matrix	NOUN
easat-3825	106	10	of	of	ADP
easat-3825	106	11	pxp	pxp	PROPN
easat-3825	106	12	order	order	NOUN
easat-3825	106	13	and	and	CCONJ
easat-3825	106	14	is	be	AUX
easat-3825	106	15	the	the	DET
easat-3825	106	16	square	square	ADJ
easat-3825	106	17	root	root	NOUN
easat-3825	106	18	of	of	ADP
easat-3825	106	19	the	the	DET
easat-3825	106	20	matrix	matrix	NOUN
easat-3825	106	21	.	.	PROPN
easat-3825	106	22	the	the	DET
easat-3825	106	23	segmentation	segmentation	NOUN
easat-3825	106	24	process	process	NOUN
easat-3825	106	25	takes	take	VERB
easat-3825	106	26	place	place	NOUN
easat-3825	106	27	as	as	SCONJ
easat-3825	106	28	follows	follow	VERB
easat-3825	106	29	:	:	PUNCT
easat-3825	106	30	a	a	X
easat-3825	106	31	)	)	PUNCT
easat-3825	106	32	the	the	DET
easat-3825	106	33	di	di	NOUN
easat-3825	106	34	vector	vector	NOUN
easat-3825	106	35	is	be	AUX
easat-3825	106	36	calculated	calculate	VERB
easat-3825	106	37	by	by	ADP
easat-3825	106	38	the	the	DET
easat-3825	106	39	following	follow	VERB
easat-3825	106	40	formula	formula	NOUN
easat-3825	106	41	:	:	PUNCT
easat-3825	106	42	di	di	NOUN
easat-3825	106	43	=	=	PUNCT
easat-3825	106	44	aij	aij	PROPN
easat-3825	106	45	−	−	PROPN
easat-3825	106	46	∑	∑	PROPN
easat-3825	106	47	ℓik	ℓik	PROPN
easat-3825	106	48	2j−1	2j−1	NUM
easat-3825	107	1	k=1	k=1	NOUN
easat-3825	107	2	dk	dk	INTJ
easat-3825	107	3	;	;	PUNCT
easat-3825	107	4	ℓij	ℓij	NOUN
easat-3825	107	5	=	=	PUNCT
easat-3825	108	1	[	[	X
easat-3825	108	2	(	(	PUNCT
easat-3825	108	3	aij	aij	PROPN
easat-3825	108	4	−	−	PROPN
easat-3825	108	5	∑	∑	PUNCT
easat-3825	108	6	ℓikℓik	ℓikℓik	NOUN
easat-3825	108	7	j−1	j−1	PROPN
easat-3825	108	8	k=1	k=1	PUNCT
easat-3825	109	1	dk	dk	PROPN
easat-3825	109	2	)	)	PUNCT
easat-3825	109	3	]	]	PUNCT
easat-3825	110	1	dj	dj	X
easat-3825	110	2	−1	−1	NOUN
easat-3825	110	3	,	,	PUNCT
easat-3825	110	4	j	j	PROPN
easat-3825	110	5	,	,	PUNCT
easat-3825	110	6	k=	k=	X
easat-3825	110	7	1,2	1,2	NUM
easat-3825	110	8	,	,	PUNCT
easat-3825	110	9	…	…	PUNCT
easat-3825	110	10	,	,	PUNCT
easat-3825	110	11	p	p	PROPN
easat-3825	110	12	b	b	X
easat-3825	110	13	)	)	PUNCT
easat-3825	110	14	the	the	DET
easat-3825	110	15	c	c	NOUN
easat-3825	110	16	matrix	matrix	NOUN
easat-3825	110	17	is	be	AUX
easat-3825	110	18	extracted	extract	VERB
easat-3825	110	19	according	accord	VERB
easat-3825	110	20	to	to	ADP
easat-3825	110	21	the	the	DET
easat-3825	110	22	following	follow	VERB
easat-3825	110	23	formula	formula	NOUN
easat-3825	110	24	:	:	PUNCT
easat-3825	110	25	𝐶	𝐶	PROPN
easat-3825	110	26	=	=	PUNCT
easat-3825	111	1	[	[	X
easat-3825	111	2	𝐿𝐷	𝐿𝐷	PROPN
easat-3825	111	3	1	1	NUM
easat-3825	111	4	2	2	NUM
easat-3825	111	5	]	]	PUNCT
easat-3825	111	6	where	where	SCONJ
easat-3825	111	7	d	d	NOUN
easat-3825	111	8	=	=	SYM
easat-3825	111	9	diag	diag	X
easat-3825	111	10	(	(	PUNCT
easat-3825	111	11	di	di	NOUN
easat-3825	111	12	)	)	PUNCT
easat-3825	111	13	and	and	CCONJ
easat-3825	111	14	l	l	NOUN
easat-3825	111	15	=	=	PUNCT
easat-3825	112	1	[	[	X
easat-3825	112	2	ℓ𝑖𝑗	ℓ𝑖𝑗	X
easat-3825	112	3	]	]	X
easat-3825	112	4	3	3	X
easat-3825	112	5	.	.	PUNCT
easat-3825	112	6	to	to	PART
easat-3825	112	7	calculate	calculate	VERB
easat-3825	112	8	the	the	DET
easat-3825	112	9	matrix	matrix	NOUN
easat-3825	112	10	x	x	PUNCT
easat-3825	112	11	whose	whose	DET
easat-3825	112	12	data	datum	NOUN
easat-3825	112	13	is	be	AUX
easat-3825	112	14	distributed	distribute	VERB
easat-3825	112	15	in	in	ADP
easat-3825	112	16	a	a	DET
easat-3825	112	17	multivariate	multivariate	NOUN
easat-3825	112	18	normal	normal	ADJ
easat-3825	112	19	distribution	distribution	NOUN
easat-3825	112	20	with	with	ADP
easat-3825	112	21	a	a	DET
easat-3825	112	22	mean	mean	ADJ
easat-3825	112	23	vector	vector	NOUN
easat-3825	112	24			NOUN
easat-3825	112	25	and	and	CCONJ
easat-3825	112	26	a	a	DET
easat-3825	112	27	covariance	covariance	NOUN
easat-3825	112	28	matrix	matrix	NOUN
easat-3825	112	29	and	and	CCONJ
easat-3825	112	30	covariances	covariance	NOUN
easat-3825	112	31	is	be	AUX
easat-3825	112	32			X
easat-3825	112	33	the	the	DET
easat-3825	112	34	following	follow	VERB
easat-3825	112	35	formula	formula	NOUN
easat-3825	112	36	is	be	AUX
easat-3825	112	37	used	use	VERB
easat-3825	112	38	:	:	PUNCT
easat-3825	112	39	x′	x′	X
easat-3825	112	40	=	=	SYM
easat-3825	112	41	μ	μ	PROPN
easat-3825	112	42	+	+	CCONJ
easat-3825	113	1	cz′	cz′	PROPN
easat-3825	113	2	and	and	CCONJ
easat-3825	113	3	x	x	SYM
easat-3825	113	4			PRON
easat-3825	113	5	mnp	mnp	PROPN
easat-3825	113	6	(	(	PUNCT
easat-3825	113	7	μ	μ	PROPN
easat-3825	113	8	,	,	PUNCT
easat-3825	113	9			NUM
easat-3825	113	10	)	)	PUNCT
easat-3825	113	11	2.7	2.7	NUM
easat-3825	113	12	.	.	PUNCT
easat-3825	114	1	generating	generate	VERB
easat-3825	114	2	regression	regression	NOUN
easat-3825	114	3	model	model	NOUN
easat-3825	114	4	data	datum	NOUN
easat-3825	114	5	in	in	ADP
easat-3825	114	6	addition	addition	NOUN
easat-3825	114	7	to	to	ADP
easat-3825	114	8	generating	generate	VERB
easat-3825	114	9	the	the	DET
easat-3825	114	10	x	x	NOUN
easat-3825	114	11	matrix	matrix	NOUN
easat-3825	114	12	,	,	PUNCT
easat-3825	114	13	which	which	PRON
easat-3825	114	14	represents	represent	VERB
easat-3825	114	15	the	the	DET
easat-3825	114	16	explanatory	explanatory	ADJ
easat-3825	114	17	variables	variable	NOUN
easat-3825	114	18	.	.	PUNCT
easat-3825	115	1	the	the	DET
easat-3825	115	2	random	random	ADJ
easat-3825	115	3	error	error	NOUN
easat-3825	115	4	that	that	PRON
easat-3825	115	5	follows	follow	VERB
easat-3825	115	6	a	a	DET
easat-3825	115	7	normal	normal	ADJ
easat-3825	115	8	distribution	distribution	NOUN
easat-3825	115	9	is	be	AUX
easat-3825	115	10	generated	generate	VERB
easat-3825	115	11	with	with	ADP
easat-3825	115	12	a	a	DET
easat-3825	115	13	mean	mean	ADJ
easat-3825	115	14	(	(	PUNCT
easat-3825	115	15	0	0	NUM
easat-3825	115	16	)	)	PUNCT
easat-3825	115	17	and	and	CCONJ
easat-3825	115	18	a	a	DET
easat-3825	115	19	variance	variance	NOUN
easat-3825	115	20	(	(	PUNCT
easat-3825	115	21	2	2	NUM
easat-3825	115	22	e	e	NOUN
easat-3825	115	23	)	)	PUNCT
easat-3825	115	24	.	.	PUNCT
easat-3825	116	1	then	then	ADV
easat-3825	116	2	the	the	DET
easat-3825	116	3	values	value	NOUN
easat-3825	116	4	of	of	ADP
easat-3825	116	5	the	the	DET
easat-3825	116	6	response	response	NOUN
easat-3825	116	7	variable	variable	NOUN
easat-3825	116	8	are	be	AUX
easat-3825	116	9	calculated	calculate	VERB
easat-3825	116	10	from	from	ADP
easat-3825	116	11	the	the	DET
easat-3825	116	12	following	follow	VERB
easat-3825	116	13	linear	linear	PROPN
easat-3825	116	14	relationship	relationship	NOUN
easat-3825	116	15	:	:	PUNCT
easat-3825	116	16	y	y	PROPN
easat-3825	116	17	=	=	PUNCT
easat-3825	117	1	x	x	PROPN
easat-3825	117	2			PROPN
easat-3825	117	3	+	+	CCONJ
easat-3825	117	4	e	e	NOUN
easat-3825	117	5	the	the	DET
easat-3825	117	6	values	value	NOUN
easat-3825	117	7	of	of	ADP
easat-3825	117	8			PROPN
easat-3825	117	9	are	be	AUX
easat-3825	117	10	imposed	impose	VERB
easat-3825	117	11	according	accord	VERB
easat-3825	117	12	to	to	ADP
easat-3825	117	13	the	the	DET
easat-3825	117	14	model	model	NOUN
easat-3825	117	15	to	to	PART
easat-3825	117	16	be	be	AUX
easat-3825	117	17	studied	study	VERB
easat-3825	117	18	and	and	CCONJ
easat-3825	117	19	in	in	ADP
easat-3825	117	20	a	a	DET
easat-3825	117	21	manner	manner	NOUN
easat-3825	117	22	consistent	consistent	ADJ
easat-3825	117	23	with	with	ADP
easat-3825	117	24	the	the	DET
easat-3825	117	25	nature	nature	NOUN
easat-3825	117	26	of	of	ADP
easat-3825	117	27	the	the	DET
easat-3825	117	28	studied	studied	ADJ
easat-3825	117	29	phenomenon	phenomenon	NOUN
easat-3825	117	30	,	,	PUNCT
easat-3825	117	31	depending	depend	VERB
easat-3825	117	32	on	on	ADP
easat-3825	117	33	the	the	DET
easat-3825	117	34	theoretical	theoretical	ADJ
easat-3825	117	35	background	background	NOUN
easat-3825	117	36	of	of	ADP
easat-3825	117	37	the	the	DET
easat-3825	117	38	phenomenon	phenomenon	NOUN
easat-3825	117	39	.	.	PUNCT
easat-3825	118	1	the	the	DET
easat-3825	118	2	sample	sample	NOUN
easat-3825	118	3	:	:	PUNCT
easat-3825	118	4	four	four	NUM
easat-3825	118	5	sample	sample	NOUN
easat-3825	118	6	sizes	size	NOUN
easat-3825	118	7	were	be	AUX
easat-3825	118	8	used	use	VERB
easat-3825	118	9	,	,	PUNCT
easat-3825	118	10	small	small	ADJ
easat-3825	118	11	,	,	PUNCT
easat-3825	118	12	medium	medium	ADJ
easat-3825	118	13	,	,	PUNCT
easat-3825	118	14	two	two	NUM
easat-3825	118	15	sizes	size	NOUN
easat-3825	118	16	,	,	PUNCT
easat-3825	118	17	then	then	ADV
easat-3825	118	18	large	large	ADJ
easat-3825	118	19	,	,	PUNCT
easat-3825	118	20	as	as	SCONJ
easat-3825	118	21	follows	follow	VERB
easat-3825	118	22	(	(	PUNCT
easat-3825	118	23	60	60	NUM
easat-3825	118	24	,	,	PUNCT
easat-3825	118	25	100	100	NUM
easat-3825	118	26	,	,	PUNCT
easat-3825	118	27	150	150	NUM
easat-3825	118	28	)	)	PUNCT
easat-3825	118	29	,	,	PUNCT
easat-3825	118	30	and	and	CCONJ
easat-3825	118	31	the	the	DET
easat-3825	118	32	error	error	NOUN
easat-3825	118	33	variance	variance	NOUN
easat-3825	118	34	was	be	AUX
easat-3825	118	35	in	in	ADP
easat-3825	118	36	four	four	NUM
easat-3825	118	37	values	value	NOUN
easat-3825	118	38	(	(	PUNCT
easat-3825	118	39	1	1	NUM
easat-3825	118	40	,	,	PUNCT
easat-3825	118	41	1.5	1.5	NUM
easat-3825	118	42	)	)	PUNCT
easat-3825	118	43	,	,	PUNCT
easat-3825	118	44	and	and	CCONJ
easat-3825	118	45	we	we	PRON
easat-3825	118	46	will	will	AUX
easat-3825	118	47	address	address	VERB
easat-3825	118	48	the	the	DET
easat-3825	118	49	problem	problem	NOUN
easat-3825	118	50	of	of	ADP
easat-3825	118	51	data	datum	NOUN
easat-3825	118	52	outlier	outlier	NOUN
easat-3825	118	53	and	and	CCONJ
easat-3825	118	54	the	the	DET
easat-3825	118	55	case	case	NOUN
easat-3825	118	56	of	of	ADP
easat-3825	118	57	the	the	DET
easat-3825	118	58	mar	mar	PROPN
easat-3825	118	59	outlier	outlier	NOUN
easat-3825	118	60	mechanism	mechanism	NOUN
easat-3825	118	61	with	with	ADP
easat-3825	118	62	outlier	outlier	ADJ
easat-3825	118	63	rates	rate	NOUN
easat-3825	118	64	of	of	ADP
easat-3825	118	65	2	2	NUM
easat-3825	118	66	%	%	NOUN
easat-3825	118	67	,	,	PUNCT
easat-3825	118	68	6	6	NUM
easat-3825	118	69	%	%	NOUN
easat-3825	118	70	,	,	PUNCT
easat-3825	118	71	10	10	NUM
easat-3825	118	72	%	%	NOUN
easat-3825	118	73	and	and	CCONJ
easat-3825	118	74	15	15	NUM
easat-3825	118	75	%	%	NOUN
easat-3825	118	76	and	and	CCONJ
easat-3825	118	77	by	by	ADP
easat-3825	118	78	repeating	repeat	VERB
easat-3825	118	79	the	the	DET
easat-3825	118	80	experiment	experiment	NOUN
easat-3825	118	81	500	500	NUM
easat-3825	118	82	times	time	NOUN
easat-3825	118	83	in	in	ADP
easat-3825	118	84	order	order	NOUN
easat-3825	118	85	to	to	PART
easat-3825	118	86	determine	determine	VERB
easat-3825	118	87	which	which	DET
easat-3825	118	88	algorithms	algorithm	NOUN
easat-3825	118	89	are	be	AUX
easat-3825	118	90	more	more	ADV
easat-3825	118	91	efficient	efficient	ADJ
easat-3825	118	92	.	.	PUNCT
easat-3825	119	1	2.8	2.8	NUM
easat-3825	119	2	.	.	PUNCT
easat-3825	119	3	analyzing	analyze	VERB
easat-3825	119	4	the	the	DET
easat-3825	119	5	results	result	NOUN
easat-3825	119	6	of	of	ADP
easat-3825	119	7	simulation	simulation	NOUN
easat-3825	119	8	experiments	experiment	NOUN
easat-3825	119	9	table	table	VERB
easat-3825	119	10	1	1	NUM
easat-3825	119	11	.	.	PUNCT
easat-3825	119	12	mse	mse	NOUN
easat-3825	119	13	for	for	ADP
easat-3825	119	14	the	the	DET
easat-3825	119	15	model	model	NOUN
easat-3825	119	16	to	to	ADP
easat-3825	119	17	the	the	DET
easat-3825	119	18	estimation	estimation	NOUN
easat-3825	119	19	methods	method	NOUN
easat-3825	119	20	and	and	CCONJ
easat-3825	119	21	outlier	outlier	NOUN
easat-3825	119	22	ratios	ratio	NOUN
easat-3825	119	23	when	when	SCONJ
easat-3825	119	24	(	(	PUNCT
easat-3825	119	25	e	e	NOUN
easat-3825	119	26			NOUN
easat-3825	119	27	n	n	CCONJ
easat-3825	119	28	(	(	PUNCT
easat-3825	119	29	1,1	1,1	NUM
easat-3825	119	30	)	)	PUNCT
easat-3825	119	31	)	)	PUNCT
easat-3825	120	1	and	and	CCONJ
easat-3825	120	2	sample	sample	NOUN
easat-3825	120	3	size	size	NOUN
easat-3825	120	4	60	60	NUM
easat-3825	120	5	.	.	PUNCT
easat-3825	121	1	outlier	outlier	NOUN
easat-3825	121	2	ratio	ratio	NOUN
easat-3825	121	3	methods	method	NOUN
easat-3825	121	4	%	%	NOUN
easat-3825	121	5	2	2	NUM
easat-3825	121	6	%	%	NOUN
easat-3825	121	7	6	6	NUM
easat-3825	121	8	%	%	NOUN
easat-3825	121	9	10	10	NUM
easat-3825	121	10	%	%	NOUN
easat-3825	121	11	15	15	NUM
easat-3825	121	12	huber	huber	NOUN
easat-3825	121	13	minimax	minimax	NOUN
easat-3825	121	14	estimators	estimator	NOUN
easat-3825	121	15	1.563	1.563	NUM
easat-3825	121	16	1.508	1.508	NUM
easat-3825	121	17	1.598	1.598	NUM
easat-3825	121	18	1.583	1.583	NUM
easat-3825	121	19	descending	descend	VERB
easat-3825	121	20	minimax	minimax	NOUN
easat-3825	121	21	estimators	estimator	NOUN
easat-3825	121	22	1.593	1.593	NUM
easat-3825	121	23	1.608	1.608	NUM
easat-3825	121	24	1.519	1.519	NUM
easat-3825	121	25	1.599	1.599	NUM
easat-3825	121	26	hampel	hampel	NOUN
easat-3825	121	27	estimators	estimator	VERB
easat-3825	121	28	1.569	1.569	NUM
easat-3825	121	29	1.527	1.527	NUM
easat-3825	121	30	1.582	1.582	NUM
easat-3825	121	31	1.518	1.518	NUM
easat-3825	121	32	andrew	andrew	PROPN
easat-3825	121	33	estimators	estimator	VERB
easat-3825	121	34	1.611	1.611	NUM
easat-3825	121	35	1.500	1.500	NUM
easat-3825	121	36	1.567	1.567	NUM
easat-3825	121	37	1591	1591	NUM
easat-3825	121	38	tukey	tukey	NOUN
easat-3825	121	39	estimators	estimator	NOUN
easat-3825	121	40	1.572	1.572	NUM
easat-3825	121	41	1.549	1.549	NUM
easat-3825	121	42	1.578	1.578	NUM
easat-3825	121	43	1.611	1.611	NUM
easat-3825	121	44	mm	mm	NOUN
easat-3825	121	45	estimators	estimator	NOUN
easat-3825	121	46	1.583	1.583	NUM
easat-3825	121	47	1.609	1.609	NUM
easat-3825	121	48	1.658	1.658	NUM
easat-3825	121	49	1.681	1.681	NUM
easat-3825	121	50	ols	ol	NOUN
easat-3825	121	51	estimators	estimator	NOUN
easat-3825	121	52	1.892	1.892	NUM
easat-3825	121	53	1.916	1.916	NUM
easat-3825	121	54	1.698	1.698	NUM
easat-3825	121	55	1.627	1.627	NUM
easat-3825	121	56	best	good	ADJ
easat-3825	121	57	huber	huber	PROPN
easat-3825	121	58	minimax	minimax	NOUN
easat-3825	121	59	andrew	andrew	PROPN
easat-3825	121	60	descending	descend	VERB
easat-3825	121	61	minimax	minimax	NOUN
easat-3825	121	62	hampel	hampel	NOUN
easat-3825	121	63	8511	8511	PROPN
easat-3825	121	64	edelweiss	edelweiss	PROPN
easat-3825	121	65	applied	apply	VERB
easat-3825	121	66	science	science	NOUN
easat-3825	121	67	and	and	CCONJ
easat-3825	121	68	technology	technology	NOUN
easat-3825	121	69	issn	issn	PROPN
easat-3825	121	70	:	:	PUNCT
easat-3825	121	71	2576	2576	NUM
easat-3825	121	72	-	-	SYM
easat-3825	121	73	8484	8484	NUM
easat-3825	121	74	vol	vol	NOUN
easat-3825	121	75	.	.	PROPN
easat-3825	121	76	8	8	NUM
easat-3825	121	77	,	,	PUNCT
easat-3825	121	78	no	no	INTJ
easat-3825	121	79	.	.	NOUN
easat-3825	121	80	6	6	NUM
easat-3825	121	81	:	:	SYM
easat-3825	121	82	8506	8506	NUM
easat-3825	121	83	-	-	SYM
easat-3825	121	84	8513	8513	NUM
easat-3825	121	85	,	,	PUNCT
easat-3825	121	86	2024	2024	NUM
easat-3825	121	87	doi	doi	NOUN
easat-3825	121	88	:	:	PUNCT
easat-3825	121	89	10.55214/25768484.v8i6.3825	10.55214/25768484.v8i6.3825	PROPN
easat-3825	121	90	©	©	PROPN
easat-3825	121	91	2024	2024	NUM
easat-3825	121	92	by	by	ADP
easat-3825	121	93	the	the	DET
easat-3825	121	94	authors	author	NOUN
easat-3825	121	95	;	;	PUNCT
easat-3825	121	96	licensee	licensee	PROPN
easat-3825	121	97	learning	learn	VERB
easat-3825	121	98	gate	gate	NOUN
easat-3825	121	99	table	table	NOUN
easat-3825	121	100	2	2	NUM
easat-3825	121	101	.	.	X
easat-3825	121	102	mse	mse	NOUN
easat-3825	121	103	for	for	ADP
easat-3825	121	104	the	the	DET
easat-3825	121	105	model	model	NOUN
easat-3825	121	106	to	to	ADP
easat-3825	121	107	the	the	DET
easat-3825	121	108	estimation	estimation	NOUN
easat-3825	121	109	methods	method	NOUN
easat-3825	121	110	and	and	CCONJ
easat-3825	121	111	outlier	outlier	NOUN
easat-3825	121	112	ratios	ratio	NOUN
easat-3825	121	113	when	when	SCONJ
easat-3825	121	114	(	(	PUNCT
easat-3825	121	115	e	e	NOUN
easat-3825	121	116			NOUN
easat-3825	121	117	n	n	CCONJ
easat-3825	121	118	(	(	PUNCT
easat-3825	121	119	1,1	1,1	NUM
easat-3825	121	120	)	)	PUNCT
easat-3825	121	121	)	)	PUNCT
easat-3825	121	122	and	and	CCONJ
easat-3825	121	123	sample	sample	NOUN
easat-3825	121	124	size	size	NOUN
easat-3825	121	125	100	100	NUM
easat-3825	121	126	.	.	PUNCT
easat-3825	122	1	outlier	outlier	NOUN
easat-3825	122	2	ratio	ratio	NOUN
easat-3825	122	3	methods	method	NOUN
easat-3825	122	4	%	%	NOUN
easat-3825	122	5	2	2	NUM
easat-3825	122	6	%	%	NOUN
easat-3825	122	7	6	6	NUM
easat-3825	122	8	%	%	NOUN
easat-3825	122	9	10	10	NUM
easat-3825	122	10	%	%	NOUN
easat-3825	122	11	15	15	NUM
easat-3825	122	12	huber	huber	NOUN
easat-3825	122	13	minimax	minimax	NOUN
easat-3825	122	14	estimators	estimator	NOUN
easat-3825	122	15	1.537	1.537	NUM
easat-3825	122	16	1.588	1.588	NUM
easat-3825	122	17	1.512	1.512	NUM
easat-3825	122	18	1.514	1.514	NUM
easat-3825	122	19	descending	descend	VERB
easat-3825	122	20	minimax	minimax	NOUN
easat-3825	122	21	estimators	estimator	NOUN
easat-3825	122	22	1.558	1.558	NUM
easat-3825	122	23	1.569	1.569	NUM
easat-3825	122	24	1.583	1.583	NUM
easat-3825	122	25	1.513	1.513	NUM
easat-3825	122	26	hampel	hampel	NOUN
easat-3825	122	27	estimators	estimator	NOUN
easat-3825	122	28	1.521	1.521	NUM
easat-3825	122	29	1.534	1.534	NUM
easat-3825	122	30	1.502	1.502	NUM
easat-3825	122	31	1.593	1.593	NUM
easat-3825	122	32	andrew	andrew	PROPN
easat-3825	122	33	estimators	estimator	NOUN
easat-3825	122	34	1.602	1.602	NUM
easat-3825	122	35	1.514	1.514	NUM
easat-3825	122	36	1.594	1.594	NUM
easat-3825	122	37	1.528	1.528	NUM
easat-3825	122	38	tukey	tukey	NOUN
easat-3825	122	39	estimators	estimator	NOUN
easat-3825	122	40	1.511	1.511	NUM
easat-3825	122	41	1.631	1.631	NUM
easat-3825	122	42	1.528	1.528	NUM
easat-3825	122	43	1.575	1.575	NUM
easat-3825	122	44	mm	mm	PROPN
easat-3825	122	45	estimators	estimator	NOUN
easat-3825	122	46	1.796	1.796	NUM
easat-3825	122	47	1.761	1.761	NUM
easat-3825	122	48	1.541	1.541	NUM
easat-3825	122	49	1.566	1.566	NUM
easat-3825	122	50	ols	ol	NOUN
easat-3825	122	51	estimators	estimator	NOUN
easat-3825	122	52	1.899	1.899	NUM
easat-3825	122	53	1.927	1.927	NUM
easat-3825	122	54	1.863	1.863	NUM
easat-3825	122	55	1.983	1.983	NUM
easat-3825	122	56	best	good	ADJ
easat-3825	122	57	tukey	tukey	PROPN
easat-3825	122	58	andrew	andrew	PROPN
easat-3825	122	59	hampel	hampel	PROPN
easat-3825	122	60	descending	descend	VERB
easat-3825	122	61	minimax	minimax	NOUN
easat-3825	122	62	table	table	NOUN
easat-3825	122	63	3	3	NUM
easat-3825	122	64	.	.	X
easat-3825	122	65	mse	mse	NOUN
easat-3825	122	66	for	for	ADP
easat-3825	122	67	the	the	DET
easat-3825	122	68	model	model	NOUN
easat-3825	122	69	to	to	ADP
easat-3825	122	70	the	the	DET
easat-3825	122	71	estimation	estimation	NOUN
easat-3825	122	72	methods	method	NOUN
easat-3825	122	73	and	and	CCONJ
easat-3825	122	74	outlier	outlier	NOUN
easat-3825	122	75	ratios	ratio	NOUN
easat-3825	122	76	when	when	SCONJ
easat-3825	122	77	(	(	PUNCT
easat-3825	122	78	e	e	NOUN
easat-3825	122	79			NOUN
easat-3825	122	80	n	n	CCONJ
easat-3825	122	81	(	(	PUNCT
easat-3825	122	82	1,1	1,1	NUM
easat-3825	122	83	)	)	PUNCT
easat-3825	122	84	)	)	PUNCT
easat-3825	123	1	and	and	CCONJ
easat-3825	123	2	sample	sample	NOUN
easat-3825	123	3	size	size	NOUN
easat-3825	123	4	150	150	NUM
easat-3825	123	5	.	.	PUNCT
easat-3825	124	1	outlier	outlier	NOUN
easat-3825	124	2	ratio	ratio	NOUN
easat-3825	124	3	methods	method	NOUN
easat-3825	124	4	%	%	NOUN
easat-3825	124	5	2	2	NUM
easat-3825	124	6	%	%	NOUN
easat-3825	124	7	6	6	NUM
easat-3825	124	8	%	%	NOUN
easat-3825	124	9	10	10	NUM
easat-3825	124	10	%	%	NOUN
easat-3825	124	11	15	15	NUM
easat-3825	124	12	huber	huber	NOUN
easat-3825	124	13	minimax	minimax	NOUN
easat-3825	124	14	estimators	estimator	NOUN
easat-3825	124	15	1.293	1.293	NUM
easat-3825	124	16	1.298	1.298	NUM
easat-3825	124	17	1.295	1.295	NUM
easat-3825	124	18	1.237	1.237	NUM
easat-3825	124	19	descending	descend	VERB
easat-3825	124	20	minimax	minimax	NOUN
easat-3825	124	21	estimators	estimator	NOUN
easat-3825	124	22	1.236	1.236	NUM
easat-3825	124	23	1.269	1.269	NUM
easat-3825	124	24	1.263	1.263	NUM
easat-3825	124	25	1.284	1.284	NUM
easat-3825	124	26	hampel	hampel	NOUN
easat-3825	124	27	estimators	estimator	NOUN
easat-3825	124	28	1.248	1.248	NUM
easat-3825	124	29	1.246	1.246	NUM
easat-3825	124	30	1.312	1.312	NUM
easat-3825	124	31	1.213	1.213	NUM
easat-3825	124	32	andrew	andrew	PROPN
easat-3825	124	33	estimators	estimator	NOUN
easat-3825	124	34	1.313	1.313	NUM
easat-3825	124	35	1.254	1.254	NUM
easat-3825	124	36	1.297	1.297	NUM
easat-3825	124	37	1.211	1.211	NUM
easat-3825	124	38	tukey	tukey	NOUN
easat-3825	124	39	estimators	estimator	NOUN
easat-3825	124	40	1.263	1.263	NUM
easat-3825	124	41	1.284	1.284	NUM
easat-3825	124	42	1.225	1.225	NUM
easat-3825	124	43	1.243	1.243	NUM
easat-3825	124	44	mm	mm	NOUN
easat-3825	124	45	estimators	estimator	NOUN
easat-3825	124	46	1.285	1.285	NUM
easat-3825	124	47	1.214	1.214	NUM
easat-3825	124	48	1.247	1.247	NUM
easat-3825	124	49	1.277	1.277	NUM
easat-3825	124	50	ols	ol	NOUN
easat-3825	124	51	estimators	estimator	NOUN
easat-3825	124	52	1.585	1.585	NUM
easat-3825	124	53	1.692	1.692	NUM
easat-3825	124	54	1.758	1.758	NUM
easat-3825	124	55	1.581	1.581	NUM
easat-3825	124	56	best	well	ADV
easat-3825	124	57	descending	descending	NOUN
easat-3825	124	58	minimax	minimax	NOUN
easat-3825	124	59	mm	mm	PROPN
easat-3825	124	60	tukey	tukey	PROPN
easat-3825	124	61	andrew	andrew	PROPN
easat-3825	124	62	table	table	PROPN
easat-3825	124	63	4	4	NUM
easat-3825	124	64	.	.	X
easat-3825	124	65	mse	mse	NOUN
easat-3825	124	66	for	for	ADP
easat-3825	124	67	the	the	DET
easat-3825	124	68	model	model	NOUN
easat-3825	124	69	to	to	ADP
easat-3825	124	70	the	the	DET
easat-3825	124	71	estimation	estimation	NOUN
easat-3825	124	72	methods	method	NOUN
easat-3825	124	73	and	and	CCONJ
easat-3825	124	74	outlier	outlier	NOUN
easat-3825	124	75	ratios	ratio	NOUN
easat-3825	124	76	when	when	SCONJ
easat-3825	124	77	(	(	PUNCT
easat-3825	124	78	e	e	NOUN
easat-3825	124	79			NOUN
easat-3825	124	80	n	n	CCONJ
easat-3825	124	81	(	(	PUNCT
easat-3825	124	82	1,1.5	1,1.5	NUM
easat-3825	124	83	)	)	PUNCT
easat-3825	124	84	)	)	PUNCT
easat-3825	125	1	and	and	CCONJ
easat-3825	125	2	sample	sample	NOUN
easat-3825	125	3	size	size	NOUN
easat-3825	125	4	60	60	NUM
easat-3825	125	5	.	.	PUNCT
easat-3825	126	1	outlier	outlier	NOUN
easat-3825	126	2	ratio	ratio	NOUN
easat-3825	126	3	methods	method	NOUN
easat-3825	126	4	%	%	NOUN
easat-3825	126	5	2	2	NUM
easat-3825	126	6	%	%	NOUN
easat-3825	126	7	6	6	NUM
easat-3825	126	8	%	%	NOUN
easat-3825	126	9	10	10	NUM
easat-3825	126	10	%	%	NOUN
easat-3825	126	11	15	15	NUM
easat-3825	126	12	huber	huber	NOUN
easat-3825	126	13	minimax	minimax	NOUN
easat-3825	126	14	estimators	estimator	NOUN
easat-3825	126	15	1.626	1.626	NUM
easat-3825	126	16	1.694	1.694	NUM
easat-3825	126	17	1.658	1.658	NUM
easat-3825	126	18	1.677	1.677	NUM
easat-3825	126	19	descending	descend	VERB
easat-3825	126	20	minimax	minimax	NOUN
easat-3825	126	21	estimators	estimator	NOUN
easat-3825	126	22	1.641	1.641	NUM
easat-3825	126	23	1.683	1.683	NUM
easat-3825	126	24	1.673	1.673	NUM
easat-3825	126	25	1.688	1.688	NUM
easat-3825	126	26	hampel	hampel	NOUN
easat-3825	126	27	estimators	estimator	NOUN
easat-3825	126	28	1.708	1.708	NUM
easat-3825	126	29	1.708	1.708	NUM
easat-3825	126	30	1.638	1.638	NUM
easat-3825	126	31	1.676	1.676	NUM
easat-3825	126	32	andrew	andrew	PROPN
easat-3825	126	33	estimators	estimator	NOUN
easat-3825	126	34	1.703	1.703	NUM
easat-3825	126	35	1.708	1.708	NUM
easat-3825	126	36	1.593	1.593	NUM
easat-3825	126	37	1.612	1.612	NUM
easat-3825	126	38	tukey	tukey	NOUN
easat-3825	126	39	estimators	estimator	NOUN
easat-3825	126	40	1.703	1.703	NUM
easat-3825	126	41	1.708	1.708	NUM
easat-3825	126	42	1.695	1.695	NUM
easat-3825	126	43	1.607	1.607	NUM
easat-3825	126	44	mm	mm	NOUN
easat-3825	126	45	estimators	estimator	NOUN
easat-3825	126	46	1.636	1.636	NUM
easat-3825	126	47	1.669	1.669	NUM
easat-3825	126	48	1.663	1.663	NUM
easat-3825	126	49	1.684	1.684	NUM
easat-3825	126	50	ols	ol	NOUN
easat-3825	126	51	estimators	estimator	NOUN
easat-3825	126	52	1.948	1.948	NUM
easat-3825	126	53	1.946	1.946	NUM
easat-3825	126	54	1.912	1.912	NUM
easat-3825	126	55	1.913	1.913	NUM
easat-3825	126	56	best	good	ADJ
easat-3825	126	57	huber	huber	NOUN
easat-3825	126	58	minimax	minimax	NOUN
easat-3825	126	59	descending	descend	VERB
easat-3825	126	60	minimax	minimax	NOUN
easat-3825	126	61	andrew	andrew	PROPN
easat-3825	126	62	tukey	tukey	PROPN
easat-3825	126	63	table	table	NOUN
easat-3825	126	64	5	5	NUM
easat-3825	126	65	.	.	PUNCT
easat-3825	126	66	mse	mse	PROPN
easat-3825	126	67	for	for	ADP
easat-3825	126	68	the	the	DET
easat-3825	126	69	model	model	NOUN
easat-3825	126	70	to	to	ADP
easat-3825	126	71	the	the	DET
easat-3825	126	72	estimation	estimation	NOUN
easat-3825	126	73	methods	method	NOUN
easat-3825	126	74	and	and	CCONJ
easat-3825	126	75	outlier	outlier	NOUN
easat-3825	126	76	ratios	ratio	NOUN
easat-3825	126	77	when	when	SCONJ
easat-3825	126	78	(	(	PUNCT
easat-3825	126	79	e	e	NOUN
easat-3825	126	80			NOUN
easat-3825	126	81	n	n	CCONJ
easat-3825	126	82	(	(	PUNCT
easat-3825	126	83	1	1	NUM
easat-3825	126	84	,	,	PUNCT
easat-3825	126	85	1.5	1.5	NUM
easat-3825	126	86	)	)	PUNCT
easat-3825	126	87	)	)	PUNCT
easat-3825	127	1	and	and	CCONJ
easat-3825	127	2	sample	sample	NOUN
easat-3825	127	3	size	size	NOUN
easat-3825	127	4	100	100	NUM
easat-3825	127	5	.	.	PUNCT
easat-3825	128	1	outlier	outlier	NOUN
easat-3825	128	2	ratio	ratio	NOUN
easat-3825	128	3	methods	method	NOUN
easat-3825	128	4	%	%	NOUN
easat-3825	128	5	2	2	NUM
easat-3825	128	6	%	%	NOUN
easat-3825	128	7	6	6	NUM
easat-3825	128	8	%	%	NOUN
easat-3825	128	9	10	10	NUM
easat-3825	128	10	%	%	NOUN
easat-3825	128	11	15	15	NUM
easat-3825	128	12	huber	huber	NOUN
easat-3825	128	13	minimax	minimax	NOUN
easat-3825	128	14	estimators	estimator	NOUN
easat-3825	128	15	1.437	1.437	NUM
easat-3825	128	16	1.438	1.438	NUM
easat-3825	128	17	1.462	1.462	NUM
easat-3825	128	18	1.414	1.414	NUM
easat-3825	128	19	descending	descend	VERB
easat-3825	128	20	minimax	minimax	NOUN
easat-3825	128	21	estimators	estimator	NOUN
easat-3825	128	22	1.458	1.458	NUM
easat-3825	128	23	1.469	1.469	NUM
easat-3825	128	24	1.483	1.483	NUM
easat-3825	128	25	1.413	1.413	NUM
easat-3825	128	26	hampel	hampel	NOUN
easat-3825	128	27	estimators	estimator	NOUN
easat-3825	128	28	1.421	1.421	NUM
easat-3825	128	29	1.434	1.434	NUM
easat-3825	128	30	1.422	1.422	NUM
easat-3825	128	31	1.493	1.493	NUM
easat-3825	128	32	andrew	andrew	PROPN
easat-3825	128	33	estimators	estimator	NOUN
easat-3825	128	34	1.412	1.412	NUM
easat-3825	128	35	1.484	1.484	NUM
easat-3825	128	36	1.494	1.494	NUM
easat-3825	128	37	1.448	1.448	NUM
easat-3825	128	38	tukey	tukey	NOUN
easat-3825	128	39	estimators	estimator	NOUN
easat-3825	128	40	1.512	1.512	NUM
easat-3825	128	41	1.431	1.431	NUM
easat-3825	128	42	1.428	1.428	NUM
easat-3825	128	43	1.475	1.475	NUM
easat-3825	128	44	mm	mm	NOUN
easat-3825	128	45	estimators	estimator	NOUN
easat-3825	128	46	1.526	1.526	NUM
easat-3825	128	47	1.431	1.431	NUM
easat-3825	128	48	1.441	1.441	NUM
easat-3825	128	49	1.366	1.366	NUM
easat-3825	128	50	ols	ol	NOUN
easat-3825	128	51	estimators	estimator	NOUN
easat-3825	128	52	1.899	1.899	NUM
easat-3825	128	53	1.727	1.727	NUM
easat-3825	128	54	1.863	1.863	NUM
easat-3825	128	55	1.883	1.883	NUM
easat-3825	128	56	best	good	ADJ
easat-3825	128	57	andrew	andrew	PROPN
easat-3825	128	58	tukey	tukey	PROPN
easat-3825	128	59	hampel	hampel	PROPN
easat-3825	128	60	mm	mm	PROPN
easat-3825	128	61	8512	8512	NUM
easat-3825	128	62	edelweiss	edelweiss	PROPN
easat-3825	128	63	applied	apply	VERB
easat-3825	128	64	science	science	NOUN
easat-3825	128	65	and	and	CCONJ
easat-3825	128	66	technology	technology	NOUN
easat-3825	128	67	issn	issn	PROPN
easat-3825	128	68	:	:	PUNCT
easat-3825	128	69	2576	2576	NUM
easat-3825	128	70	-	-	SYM
easat-3825	128	71	8484	8484	NUM
easat-3825	128	72	vol	vol	NOUN
easat-3825	128	73	.	.	PROPN
easat-3825	129	1	8	8	NUM
easat-3825	129	2	,	,	PUNCT
easat-3825	129	3	no	no	INTJ
easat-3825	129	4	.	.	NOUN
easat-3825	130	1	6	6	NUM
easat-3825	130	2	:	:	SYM
easat-3825	130	3	8506	8506	NUM
easat-3825	130	4	-	-	SYM
easat-3825	130	5	8513	8513	NUM
easat-3825	130	6	,	,	PUNCT
easat-3825	130	7	2024	2024	NUM
easat-3825	130	8	doi	doi	NOUN
easat-3825	130	9	:	:	PUNCT
easat-3825	130	10	10.55214/25768484.v8i6.3825	10.55214/25768484.v8i6.3825	PROPN
easat-3825	130	11	©	©	PROPN
easat-3825	130	12	2024	2024	NUM
easat-3825	130	13	by	by	ADP
easat-3825	130	14	the	the	DET
easat-3825	130	15	authors	author	NOUN
easat-3825	130	16	;	;	PUNCT
easat-3825	131	1	licensee	licensee	PROPN
easat-3825	131	2	learning	learn	VERB
easat-3825	131	3	gate	gate	NOUN
easat-3825	131	4	table	table	NOUN
easat-3825	131	5	6	6	NUM
easat-3825	131	6	.	.	PUNCT
easat-3825	131	7	mse	mse	NOUN
easat-3825	131	8	for	for	ADP
easat-3825	131	9	the	the	DET
easat-3825	131	10	model	model	NOUN
easat-3825	131	11	to	to	ADP
easat-3825	131	12	the	the	DET
easat-3825	131	13	estimation	estimation	NOUN
easat-3825	131	14	methods	method	NOUN
easat-3825	131	15	and	and	CCONJ
easat-3825	131	16	outlier	outlier	NOUN
easat-3825	131	17	ratios	ratio	NOUN
easat-3825	131	18	when	when	SCONJ
easat-3825	131	19	(	(	PUNCT
easat-3825	131	20	e	e	NOUN
easat-3825	131	21			NOUN
easat-3825	131	22	n	n	CCONJ
easat-3825	131	23	(	(	PUNCT
easat-3825	131	24	1	1	NUM
easat-3825	131	25	,	,	PUNCT
easat-3825	131	26	1.5	1.5	NUM
easat-3825	131	27	)	)	PUNCT
easat-3825	131	28	)	)	PUNCT
easat-3825	131	29	and	and	CCONJ
easat-3825	131	30	sample	sample	NOUN
easat-3825	131	31	size	size	NOUN
easat-3825	131	32	150	150	NUM
easat-3825	131	33	.	.	PUNCT
easat-3825	132	1	outlier	outlier	NOUN
easat-3825	132	2	ratio	ratio	NOUN
easat-3825	132	3	methods	method	NOUN
easat-3825	132	4	%	%	NOUN
easat-3825	132	5	2	2	NUM
easat-3825	132	6	%	%	NOUN
easat-3825	132	7	6	6	NUM
easat-3825	132	8	%	%	NOUN
easat-3825	132	9	10	10	NUM
easat-3825	132	10	%	%	NOUN
easat-3825	132	11	15	15	NUM
easat-3825	132	12	huber	huber	NOUN
easat-3825	132	13	minimax	minimax	NOUN
easat-3825	132	14	estimators	estimator	NOUN
easat-3825	132	15	1.098	1.098	NUM
easat-3825	132	16	1.095	1.095	NUM
easat-3825	132	17	1.037	1.037	NUM
easat-3825	132	18	1.039	1.039	NUM
easat-3825	132	19	descending	descend	VERB
easat-3825	132	20	minimax	minimax	NOUN
easat-3825	132	21	estimators	estimator	NOUN
easat-3825	132	22	1.069	1.069	NUM
easat-3825	132	23	1.063	1.063	NUM
easat-3825	132	24	1.084	1.084	NUM
easat-3825	132	25	1.036	1.036	NUM
easat-3825	132	26	hampel	hampel	NOUN
easat-3825	132	27	estimators	estimator	NOUN
easat-3825	132	28	1.046	1.046	NUM
easat-3825	132	29	1.052	1.052	NUM
easat-3825	132	30	1.013	1.013	NUM
easat-3825	132	31	1.099	1.099	NUM
easat-3825	132	32	andrew	andrew	PROPN
easat-3825	132	33	estimators	estimator	NOUN
easat-3825	132	34	1.054	1.054	NUM
easat-3825	132	35	1.097	1.097	NUM
easat-3825	132	36	1.011	1.011	NUM
easat-3825	132	37	1.084	1.084	NUM
easat-3825	132	38	tukey	tukey	NOUN
easat-3825	132	39	estimators	estimator	NOUN
easat-3825	132	40	1.084	1.084	NUM
easat-3825	132	41	1.025	1.025	NUM
easat-3825	132	42	1.043	1.043	NUM
easat-3825	132	43	1.078	1.078	NUM
easat-3825	132	44	mm	mm	NOUN
easat-3825	132	45	estimators	estimator	NOUN
easat-3825	132	46	1.114	1.114	NUM
easat-3825	132	47	1.047	1.047	NUM
easat-3825	132	48	1.077	1.077	NUM
easat-3825	132	49	1.089	1.089	NUM
easat-3825	132	50	ols	ol	NOUN
easat-3825	132	51	estimators	estimator	NOUN
easat-3825	132	52	1.292	1.292	NUM
easat-3825	132	53	1.258	1.258	NUM
easat-3825	132	54	1.361	1.361	NUM
easat-3825	132	55	1.438	1.438	NUM
easat-3825	132	56	best	good	ADJ
easat-3825	132	57	hampel	hampel	NOUN
easat-3825	132	58	tukey	tukey	PROPN
easat-3825	132	59	andrew	andrew	PROPN
easat-3825	132	60	descending	descend	VERB
easat-3825	132	61	minimax	minimax	NOUN
easat-3825	132	62	2.9	2.9	NUM
easat-3825	132	63	.	.	PUNCT
easat-3825	133	1	analysis	analysis	NOUN
easat-3825	133	2	of	of	ADP
easat-3825	133	3	the	the	DET
easat-3825	133	4	results	result	NOUN
easat-3825	133	5	of	of	ADP
easat-3825	133	6	simulation	simulation	NOUN
easat-3825	133	7	experiments	experiment	NOUN
easat-3825	133	8	of	of	ADP
easat-3825	133	9	outlier	outlier	NOUN
easat-3825	133	10	patterns	pattern	NOUN
easat-3825	133	11	first	first	ADV
easat-3825	133	12	:	:	PUNCT
easat-3825	133	13	in	in	ADP
easat-3825	133	14	the	the	DET
easat-3825	133	15	case	case	NOUN
easat-3825	133	16	of	of	ADP
easat-3825	133	17	the	the	DET
easat-3825	133	18	error	error	NOUN
easat-3825	133	19	variance	variance	NOUN
easat-3825	133	20	,	,	PUNCT
easat-3825	133	21	it	it	PRON
easat-3825	133	22	is	be	AUX
easat-3825	133	23	1	1	NUM
easat-3825	133	24	,	,	PUNCT
easat-3825	133	25	from	from	ADP
easat-3825	133	26	tables	table	NOUN
easat-3825	133	27	(	(	PUNCT
easat-3825	133	28	1,2	1,2	NUM
easat-3825	133	29	and	and	CCONJ
easat-3825	133	30	3	3	NUM
easat-3825	133	31	)	)	PUNCT
easat-3825	133	32	a	a	X
easat-3825	133	33	,	,	PUNCT
easat-3825	133	34	we	we	PRON
easat-3825	133	35	note	note	VERB
easat-3825	133	36	the	the	DET
easat-3825	133	37	following	following	NOUN
easat-3825	133	38	:	:	PUNCT
easat-3825	133	39	in	in	ADP
easat-3825	133	40	the	the	DET
easat-3825	133	41	case	case	NOUN
easat-3825	133	42	of	of	ADP
easat-3825	133	43	a	a	DET
easat-3825	133	44	sample	sample	NOUN
easat-3825	133	45	size	size	NOUN
easat-3825	133	46	of	of	ADP
easat-3825	133	47	60	60	NUM
easat-3825	133	48	we	we	PRON
easat-3825	133	49	notice	notice	VERB
easat-3825	133	50	that	that	SCONJ
easat-3825	133	51	the	the	DET
easat-3825	133	52	huber	huber	PROPN
easat-3825	133	53	minimax	minimax	NOUN
easat-3825	133	54	method	method	NOUN
easat-3825	133	55	gave	give	VERB
easat-3825	133	56	the	the	DET
easat-3825	133	57	best	good	ADJ
easat-3825	133	58	results	result	NOUN
easat-3825	133	59	for	for	ADP
easat-3825	133	60	all	all	DET
easat-3825	133	61	outlier	outlier	NOUN
easat-3825	133	62	ratios	ratio	NOUN
easat-3825	133	63	%	%	NOUN
easat-3825	133	64	2	2	NUM
easat-3825	133	65	,	,	PUNCT
easat-3825	133	66	and	and	CCONJ
easat-3825	133	67	the	the	DET
easat-3825	133	68	andrew	andrew	PROPN
easat-3825	133	69	method	method	NOUN
easat-3825	133	70	gave	give	VERB
easat-3825	133	71	the	the	DET
easat-3825	133	72	best	good	ADJ
easat-3825	133	73	results	result	NOUN
easat-3825	133	74	for	for	ADP
easat-3825	133	75	all	all	DET
easat-3825	133	76	outlier	outlier	ADJ
easat-3825	133	77	ratios	ratio	NOUN
easat-3825	133	78	%	%	NOUN
easat-3825	133	79	6	6	NUM
easat-3825	133	80	,	,	PUNCT
easat-3825	133	81	and	and	CCONJ
easat-3825	133	82	the	the	DET
easat-3825	133	83	descending	descend	VERB
easat-3825	133	84	minimax	minimax	NOUN
easat-3825	133	85	method	method	NOUN
easat-3825	133	86	gave	give	VERB
easat-3825	133	87	the	the	DET
easat-3825	133	88	best	good	ADJ
easat-3825	133	89	results	result	NOUN
easat-3825	133	90	for	for	ADP
easat-3825	133	91	all	all	DET
easat-3825	133	92	outlier	outlier	ADJ
easat-3825	133	93	ratios	ratio	NOUN
easat-3825	133	94	%	%	ADV
easat-3825	133	95	10	10	NUM
easat-3825	133	96	,	,	PUNCT
easat-3825	133	97	and	and	CCONJ
easat-3825	133	98	the	the	DET
easat-3825	133	99	hampel	hampel	NOUN
easat-3825	133	100	method	method	NOUN
easat-3825	133	101	gave	give	VERB
easat-3825	133	102	the	the	DET
easat-3825	133	103	best	good	ADJ
easat-3825	133	104	results	result	NOUN
easat-3825	133	105	for	for	ADP
easat-3825	133	106	all	all	DET
easat-3825	133	107	outlier	outlier	NOUN
easat-3825	133	108	ratios	ratio	NOUN
easat-3825	133	109	%	%	NOUN
easat-3825	133	110	15	15	NUM
easat-3825	133	111	.	.	PUNCT
easat-3825	134	1	in	in	ADP
easat-3825	134	2	the	the	DET
easat-3825	134	3	case	case	NOUN
easat-3825	134	4	of	of	ADP
easat-3825	134	5	a	a	DET
easat-3825	134	6	sample	sample	NOUN
easat-3825	134	7	size	size	NOUN
easat-3825	134	8	of	of	ADP
easat-3825	134	9	100	100	NUM
easat-3825	134	10	we	we	PRON
easat-3825	134	11	notice	notice	VERB
easat-3825	134	12	that	that	SCONJ
easat-3825	134	13	the	the	DET
easat-3825	134	14	tuky	tuky	NOUN
easat-3825	134	15	method	method	NOUN
easat-3825	134	16	gave	give	VERB
easat-3825	134	17	the	the	DET
easat-3825	134	18	best	good	ADJ
easat-3825	134	19	results	result	NOUN
easat-3825	134	20	for	for	ADP
easat-3825	134	21	all	all	DET
easat-3825	134	22	outlier	outlier	NOUN
easat-3825	134	23	ratios	ratio	NOUN
easat-3825	134	24	%	%	NOUN
easat-3825	134	25	2	2	NUM
easat-3825	134	26	,	,	PUNCT
easat-3825	134	27	and	and	CCONJ
easat-3825	134	28	the	the	DET
easat-3825	134	29	andrew	andrew	PROPN
easat-3825	134	30	method	method	NOUN
easat-3825	134	31	gave	give	VERB
easat-3825	134	32	the	the	DET
easat-3825	134	33	best	good	ADJ
easat-3825	134	34	results	result	NOUN
easat-3825	134	35	for	for	ADP
easat-3825	134	36	all	all	DET
easat-3825	134	37	outlier	outlier	ADJ
easat-3825	134	38	ratios	ratio	NOUN
easat-3825	134	39	%	%	NOUN
easat-3825	134	40	6	6	NUM
easat-3825	134	41	,	,	PUNCT
easat-3825	134	42	and	and	CCONJ
easat-3825	134	43	the	the	DET
easat-3825	134	44	hampel	hampel	NOUN
easat-3825	134	45	method	method	NOUN
easat-3825	134	46	gave	give	VERB
easat-3825	134	47	the	the	DET
easat-3825	134	48	best	good	ADJ
easat-3825	134	49	results	result	NOUN
easat-3825	134	50	for	for	ADP
easat-3825	134	51	all	all	DET
easat-3825	134	52	outlier	outlier	ADJ
easat-3825	134	53	ratios	ratio	NOUN
easat-3825	134	54	%	%	ADV
easat-3825	134	55	10	10	NUM
easat-3825	134	56	,	,	PUNCT
easat-3825	134	57	and	and	CCONJ
easat-3825	134	58	the	the	DET
easat-3825	134	59	descending	descend	VERB
easat-3825	134	60	minimax	minimax	NOUN
easat-3825	134	61	method	method	NOUN
easat-3825	134	62	gave	give	VERB
easat-3825	134	63	the	the	DET
easat-3825	134	64	best	good	ADJ
easat-3825	134	65	results	result	NOUN
easat-3825	134	66	for	for	ADP
easat-3825	134	67	all	all	DET
easat-3825	134	68	outlier	outlier	NOUN
easat-3825	134	69	ratios	ratio	NOUN
easat-3825	134	70	%	%	NOUN
easat-3825	134	71	15	15	NUM
easat-3825	134	72	.	.	PUNCT
easat-3825	135	1	in	in	ADP
easat-3825	135	2	the	the	DET
easat-3825	135	3	case	case	NOUN
easat-3825	135	4	of	of	ADP
easat-3825	135	5	a	a	DET
easat-3825	135	6	sample	sample	NOUN
easat-3825	135	7	size	size	NOUN
easat-3825	135	8	of	of	ADP
easat-3825	135	9	150	150	NUM
easat-3825	135	10	we	we	PRON
easat-3825	135	11	notice	notice	VERB
easat-3825	135	12	that	that	SCONJ
easat-3825	135	13	the	the	DET
easat-3825	135	14	descending	descend	VERB
easat-3825	135	15	minimax	minimax	NOUN
easat-3825	135	16	method	method	NOUN
easat-3825	135	17	gave	give	VERB
easat-3825	135	18	the	the	DET
easat-3825	135	19	best	good	ADJ
easat-3825	135	20	results	result	NOUN
easat-3825	135	21	for	for	ADP
easat-3825	135	22	all	all	DET
easat-3825	135	23	outlier	outlier	NOUN
easat-3825	135	24	ratios	ratio	NOUN
easat-3825	135	25	%	%	NOUN
easat-3825	135	26	2	2	NUM
easat-3825	135	27	,	,	PUNCT
easat-3825	135	28	and	and	CCONJ
easat-3825	135	29	the	the	DET
easat-3825	135	30	mm	mm	PROPN
easat-3825	135	31	method	method	NOUN
easat-3825	135	32	gave	give	VERB
easat-3825	135	33	the	the	DET
easat-3825	135	34	best	good	ADJ
easat-3825	135	35	results	result	NOUN
easat-3825	135	36	for	for	ADP
easat-3825	135	37	all	all	DET
easat-3825	135	38	outlier	outlier	ADJ
easat-3825	135	39	ratios	ratio	NOUN
easat-3825	135	40	%	%	NOUN
easat-3825	135	41	6	6	NUM
easat-3825	135	42	,	,	PUNCT
easat-3825	135	43	and	and	CCONJ
easat-3825	135	44	the	the	DET
easat-3825	135	45	tuky	tuky	NOUN
easat-3825	135	46	method	method	NOUN
easat-3825	135	47	gave	give	VERB
easat-3825	135	48	the	the	DET
easat-3825	135	49	best	good	ADJ
easat-3825	135	50	results	result	NOUN
easat-3825	135	51	for	for	ADP
easat-3825	135	52	all	all	DET
easat-3825	135	53	outlier	outlier	ADJ
easat-3825	135	54	ratios	ratio	NOUN
easat-3825	135	55	%	%	ADV
easat-3825	135	56	10	10	NUM
easat-3825	135	57	,	,	PUNCT
easat-3825	135	58	and	and	CCONJ
easat-3825	135	59	the	the	DET
easat-3825	135	60	andrew	andrew	PROPN
easat-3825	135	61	method	method	NOUN
easat-3825	135	62	gave	give	VERB
easat-3825	135	63	the	the	DET
easat-3825	135	64	best	good	ADJ
easat-3825	135	65	results	result	NOUN
easat-3825	135	66	for	for	ADP
easat-3825	135	67	all	all	DET
easat-3825	135	68	outlier	outlier	NOUN
easat-3825	135	69	ratios	ratio	NOUN
easat-3825	135	70	%	%	NOUN
easat-3825	135	71	15	15	NUM
easat-3825	135	72	.	.	PUNCT
easat-3825	136	1	second	second	ADV
easat-3825	136	2	:	:	PUNCT
easat-3825	136	3	in	in	ADP
easat-3825	136	4	the	the	DET
easat-3825	136	5	case	case	NOUN
easat-3825	136	6	of	of	ADP
easat-3825	136	7	the	the	DET
easat-3825	136	8	error	error	NOUN
easat-3825	136	9	variance	variance	NOUN
easat-3825	136	10	,	,	PUNCT
easat-3825	136	11	it	it	PRON
easat-3825	136	12	is	be	AUX
easat-3825	136	13	1.5	1.5	NUM
easat-3825	136	14	,	,	PUNCT
easat-3825	136	15	from	from	ADP
easat-3825	136	16	tables	table	NOUN
easat-3825	136	17	(	(	PUNCT
easat-3825	136	18	4,5	4,5	NUM
easat-3825	136	19	and	and	CCONJ
easat-3825	136	20	6	6	NUM
easat-3825	136	21	)	)	PUNCT
easat-3825	136	22	a	a	PRON
easat-3825	136	23	,	,	PUNCT
easat-3825	136	24	we	we	PRON
easat-3825	136	25	note	note	VERB
easat-3825	136	26	the	the	DET
easat-3825	136	27	following	following	NOUN
easat-3825	136	28	:	:	PUNCT
easat-3825	136	29	in	in	ADP
easat-3825	136	30	the	the	DET
easat-3825	136	31	case	case	NOUN
easat-3825	136	32	of	of	ADP
easat-3825	136	33	a	a	DET
easat-3825	136	34	sample	sample	NOUN
easat-3825	136	35	size	size	NOUN
easat-3825	136	36	of	of	ADP
easat-3825	136	37	60	60	NUM
easat-3825	136	38	we	we	PRON
easat-3825	136	39	notice	notice	VERB
easat-3825	136	40	that	that	SCONJ
easat-3825	136	41	the	the	DET
easat-3825	136	42	huber	huber	PROPN
easat-3825	136	43	minimax	minimax	NOUN
easat-3825	136	44	method	method	NOUN
easat-3825	136	45	gave	give	VERB
easat-3825	136	46	the	the	DET
easat-3825	136	47	best	good	ADJ
easat-3825	136	48	results	result	NOUN
easat-3825	136	49	for	for	ADP
easat-3825	136	50	all	all	DET
easat-3825	136	51	outlier	outlier	NOUN
easat-3825	136	52	ratios	ratio	NOUN
easat-3825	136	53	%	%	NOUN
easat-3825	136	54	2	2	NUM
easat-3825	136	55	,	,	PUNCT
easat-3825	136	56	and	and	CCONJ
easat-3825	136	57	the	the	DET
easat-3825	136	58	descending	descend	VERB
easat-3825	136	59	minimax	minimax	NOUN
easat-3825	136	60	method	method	NOUN
easat-3825	136	61	gave	give	VERB
easat-3825	136	62	the	the	DET
easat-3825	136	63	best	good	ADJ
easat-3825	136	64	results	result	NOUN
easat-3825	136	65	for	for	ADP
easat-3825	136	66	all	all	DET
easat-3825	136	67	outlier	outlier	ADJ
easat-3825	136	68	ratios	ratio	NOUN
easat-3825	136	69	%	%	NOUN
easat-3825	136	70	6	6	NUM
easat-3825	136	71	,	,	PUNCT
easat-3825	136	72	and	and	CCONJ
easat-3825	136	73	the	the	DET
easat-3825	136	74	andrew	andrew	PROPN
easat-3825	136	75	method	method	NOUN
easat-3825	136	76	gave	give	VERB
easat-3825	136	77	the	the	DET
easat-3825	136	78	best	good	ADJ
easat-3825	136	79	results	result	NOUN
easat-3825	136	80	for	for	ADP
easat-3825	136	81	all	all	DET
easat-3825	136	82	outlier	outlier	ADJ
easat-3825	136	83	ratios	ratio	NOUN
easat-3825	136	84	%	%	ADV
easat-3825	136	85	10	10	NUM
easat-3825	136	86	,	,	PUNCT
easat-3825	136	87	and	and	CCONJ
easat-3825	136	88	the	the	DET
easat-3825	136	89	tuky	tuky	NOUN
easat-3825	136	90	method	method	NOUN
easat-3825	136	91	gave	give	VERB
easat-3825	136	92	the	the	DET
easat-3825	136	93	best	good	ADJ
easat-3825	136	94	results	result	NOUN
easat-3825	136	95	for	for	ADP
easat-3825	136	96	all	all	DET
easat-3825	136	97	outlier	outlier	NOUN
easat-3825	136	98	ratios	ratio	NOUN
easat-3825	136	99	%	%	NOUN
easat-3825	136	100	15	15	NUM
easat-3825	136	101	.	.	PUNCT
easat-3825	137	1	in	in	ADP
easat-3825	137	2	the	the	DET
easat-3825	137	3	case	case	NOUN
easat-3825	137	4	of	of	ADP
easat-3825	137	5	a	a	DET
easat-3825	137	6	sample	sample	NOUN
easat-3825	137	7	size	size	NOUN
easat-3825	137	8	of	of	ADP
easat-3825	137	9	100	100	NUM
easat-3825	137	10	we	we	PRON
easat-3825	137	11	notice	notice	VERB
easat-3825	137	12	that	that	SCONJ
easat-3825	137	13	the	the	DET
easat-3825	137	14	andrew	andrew	PROPN
easat-3825	137	15	method	method	NOUN
easat-3825	137	16	gave	give	VERB
easat-3825	137	17	the	the	DET
easat-3825	137	18	best	good	ADJ
easat-3825	137	19	results	result	NOUN
easat-3825	137	20	for	for	ADP
easat-3825	137	21	all	all	DET
easat-3825	137	22	outlier	outlier	NOUN
easat-3825	137	23	ratios	ratio	NOUN
easat-3825	137	24	%	%	NOUN
easat-3825	137	25	2	2	NUM
easat-3825	137	26	,	,	PUNCT
easat-3825	137	27	and	and	CCONJ
easat-3825	137	28	the	the	DET
easat-3825	137	29	tuky	tuky	NOUN
easat-3825	137	30	method	method	NOUN
easat-3825	137	31	gave	give	VERB
easat-3825	137	32	the	the	DET
easat-3825	137	33	best	good	ADJ
easat-3825	137	34	results	result	NOUN
easat-3825	137	35	for	for	ADP
easat-3825	137	36	all	all	DET
easat-3825	137	37	outlier	outlier	ADJ
easat-3825	137	38	ratios	ratio	NOUN
easat-3825	137	39	%	%	NOUN
easat-3825	137	40	6	6	NUM
easat-3825	137	41	,	,	PUNCT
easat-3825	137	42	and	and	CCONJ
easat-3825	137	43	the	the	DET
easat-3825	137	44	hampel	hampel	NOUN
easat-3825	137	45	method	method	NOUN
easat-3825	137	46	gave	give	VERB
easat-3825	137	47	the	the	DET
easat-3825	137	48	best	good	ADJ
easat-3825	137	49	results	result	NOUN
easat-3825	137	50	for	for	ADP
easat-3825	137	51	all	all	DET
easat-3825	137	52	outlier	outlier	ADJ
easat-3825	137	53	ratios	ratio	NOUN
easat-3825	137	54	%	%	ADV
easat-3825	137	55	10	10	NUM
easat-3825	137	56	,	,	PUNCT
easat-3825	137	57	and	and	CCONJ
easat-3825	137	58	the	the	DET
easat-3825	137	59	mm	mm	PROPN
easat-3825	137	60	method	method	NOUN
easat-3825	137	61	gave	give	VERB
easat-3825	137	62	the	the	DET
easat-3825	137	63	best	good	ADJ
easat-3825	137	64	results	result	NOUN
easat-3825	137	65	for	for	ADP
easat-3825	137	66	all	all	DET
easat-3825	137	67	outlier	outlier	NOUN
easat-3825	137	68	ratios	ratio	NOUN
easat-3825	137	69	%	%	NOUN
easat-3825	137	70	15	15	NUM
easat-3825	137	71	.	.	PUNCT
easat-3825	138	1	in	in	ADP
easat-3825	138	2	the	the	DET
easat-3825	138	3	case	case	NOUN
easat-3825	138	4	of	of	ADP
easat-3825	138	5	a	a	DET
easat-3825	138	6	sample	sample	NOUN
easat-3825	138	7	size	size	NOUN
easat-3825	138	8	of	of	ADP
easat-3825	138	9	150	150	NUM
easat-3825	138	10	we	we	PRON
easat-3825	138	11	notice	notice	VERB
easat-3825	138	12	that	that	SCONJ
easat-3825	138	13	the	the	DET
easat-3825	138	14	hampel	hampel	NOUN
easat-3825	138	15	method	method	NOUN
easat-3825	138	16	gave	give	VERB
easat-3825	138	17	the	the	DET
easat-3825	138	18	best	good	ADJ
easat-3825	138	19	results	result	NOUN
easat-3825	138	20	for	for	ADP
easat-3825	138	21	all	all	DET
easat-3825	138	22	outlier	outlier	NOUN
easat-3825	138	23	ratios	ratio	NOUN
easat-3825	138	24	%	%	NOUN
easat-3825	138	25	2	2	NUM
easat-3825	138	26	,	,	PUNCT
easat-3825	138	27	and	and	CCONJ
easat-3825	138	28	the	the	DET
easat-3825	138	29	tuky	tuky	NOUN
easat-3825	138	30	method	method	NOUN
easat-3825	138	31	gave	give	VERB
easat-3825	138	32	the	the	DET
easat-3825	138	33	best	good	ADJ
easat-3825	138	34	results	result	NOUN
easat-3825	138	35	for	for	ADP
easat-3825	138	36	all	all	DET
easat-3825	138	37	outlier	outlier	ADJ
easat-3825	138	38	ratios	ratio	NOUN
easat-3825	138	39	%	%	NOUN
easat-3825	138	40	6	6	NUM
easat-3825	138	41	,	,	PUNCT
easat-3825	138	42	and	and	CCONJ
easat-3825	138	43	the	the	DET
easat-3825	138	44	andrew	andrew	PROPN
easat-3825	138	45	method	method	NOUN
easat-3825	138	46	gave	give	VERB
easat-3825	138	47	the	the	DET
easat-3825	138	48	best	good	ADJ
easat-3825	138	49	results	result	NOUN
easat-3825	138	50	for	for	ADP
easat-3825	138	51	all	all	DET
easat-3825	138	52	outlier	outlier	ADJ
easat-3825	138	53	ratios	ratio	NOUN
easat-3825	138	54	%	%	ADV
easat-3825	138	55	10	10	NUM
easat-3825	138	56	,	,	PUNCT
easat-3825	138	57	and	and	CCONJ
easat-3825	138	58	the	the	DET
easat-3825	138	59	descending	descend	VERB
easat-3825	138	60	minimax	minimax	NOUN
easat-3825	138	61	method	method	NOUN
easat-3825	138	62	gave	give	VERB
easat-3825	138	63	the	the	DET
easat-3825	138	64	best	good	ADJ
easat-3825	138	65	results	result	NOUN
easat-3825	138	66	for	for	ADP
easat-3825	138	67	all	all	DET
easat-3825	138	68	outlier	outlier	NOUN
easat-3825	138	69	ratios	ratio	NOUN
easat-3825	138	70	%	%	NOUN
easat-3825	138	71	15	15	NUM
easat-3825	138	72	.	.	PUNCT
easat-3825	139	1	given	give	VERB
easat-3825	139	2	the	the	DET
easat-3825	139	3	difficulty	difficulty	NOUN
easat-3825	139	4	of	of	ADP
easat-3825	139	5	providing	provide	VERB
easat-3825	139	6	all	all	DET
easat-3825	139	7	the	the	DET
easat-3825	139	8	assumptions	assumption	NOUN
easat-3825	139	9	of	of	ADP
easat-3825	139	10	the	the	DET
easat-3825	139	11	linear	linear	ADJ
easat-3825	139	12	model	model	NOUN
easat-3825	139	13	in	in	ADP
easat-3825	139	14	experiments	experiment	NOUN
easat-3825	139	15	,	,	PUNCT
easat-3825	139	16	and	and	CCONJ
easat-3825	139	17	to	to	PART
easat-3825	139	18	reduce	reduce	VERB
easat-3825	139	19	the	the	DET
easat-3825	139	20	effect	effect	NOUN
easat-3825	139	21	of	of	ADP
easat-3825	139	22	outliers	outlier	NOUN
easat-3825	139	23	if	if	SCONJ
easat-3825	139	24	they	they	PRON
easat-3825	139	25	are	be	AUX
easat-3825	139	26	present	present	ADJ
easat-3825	139	27	in	in	ADP
easat-3825	139	28	the	the	DET
easat-3825	139	29	data	datum	NOUN
easat-3825	139	30	,	,	PUNCT
easat-3825	139	31	the	the	DET
easat-3825	139	32	research	research	NOUN
easat-3825	139	33	recommends	recommend	VERB
easat-3825	139	34	using	use	VERB
easat-3825	139	35	the	the	DET
easat-3825	139	36	studied	studied	ADJ
easat-3825	139	37	methods	method	NOUN
easat-3825	139	38	according	accord	VERB
easat-3825	139	39	to	to	ADP
easat-3825	139	40	the	the	DET
easat-3825	139	41	sample	sample	NOUN
easat-3825	139	42	size	size	NOUN
easat-3825	139	43	and	and	CCONJ
easat-3825	139	44	benefiting	benefit	VERB
easat-3825	139	45	from	from	ADP
easat-3825	139	46	the	the	DET
easat-3825	139	47	scientific	scientific	ADJ
easat-3825	139	48	programs	program	NOUN
easat-3825	139	49	prepared	prepare	VERB
easat-3825	139	50	by	by	ADP
easat-3825	139	51	the	the	DET
easat-3825	139	52	researcher	researcher	NOUN
easat-3825	139	53	in	in	ADP
easat-3825	139	54	applying	apply	VERB
easat-3825	139	55	these	these	DET
easat-3825	139	56	methods	method	NOUN
easat-3825	139	57	.	.	PUNCT
easat-3825	140	1	copyright	copyright	NOUN
easat-3825	140	2	:	:	PUNCT
easat-3825	140	3	©	©	PROPN
easat-3825	140	4	2024	2024	NUM
easat-3825	140	5	by	by	ADP
easat-3825	140	6	the	the	DET
easat-3825	140	7	authors	author	NOUN
easat-3825	140	8	.	.	PUNCT
easat-3825	141	1	this	this	DET
easat-3825	141	2	article	article	NOUN
easat-3825	141	3	is	be	AUX
easat-3825	141	4	an	an	DET
easat-3825	141	5	open	open	ADJ
easat-3825	141	6	access	access	NOUN
easat-3825	141	7	article	article	NOUN
easat-3825	141	8	distributed	distribute	VERB
easat-3825	141	9	under	under	ADP
easat-3825	141	10	the	the	DET
easat-3825	141	11	terms	term	NOUN
easat-3825	141	12	and	and	CCONJ
easat-3825	141	13	conditions	condition	NOUN
easat-3825	141	14	of	of	ADP
easat-3825	141	15	the	the	DET
easat-3825	141	16	creative	creative	ADJ
easat-3825	141	17	commons	common	NOUN
easat-3825	141	18	attribution	attribution	NOUN
easat-3825	141	19	(	(	PUNCT
easat-3825	141	20	cc	cc	NOUN
easat-3825	141	21	by	by	ADP
easat-3825	141	22	)	)	PUNCT
easat-3825	141	23	license	license	NOUN
easat-3825	141	24	(	(	PUNCT
easat-3825	141	25	https://creativecommons.org/licenses/by/4.0/	https://creativecommons.org/licenses/by/4.0/	PROPN
easat-3825	141	26	)	)	PUNCT
easat-3825	141	27	.	.	PUNCT
easat-3825	142	1	references	reference	NOUN
easat-3825	142	2	[	[	X
easat-3825	142	3	1	1	NUM
easat-3825	142	4	]	]	PUNCT
easat-3825	142	5	basu	basu	PROPN
easat-3825	142	6	,	,	PUNCT
easat-3825	142	7	s.	s.	PROPN
easat-3825	142	8	&	&	CCONJ
easat-3825	142	9	heitjan	heitjan	PROPN
easat-3825	142	10	,	,	PUNCT
easat-3825	142	11	d.	d.	PROPN
easat-3825	142	12	f.	f.	PROPN
easat-3825	142	13	(	(	PUNCT
easat-3825	142	14	2016	2016	NUM
easat-3825	142	15	)	)	PUNCT
easat-3825	142	16	"	"	PUNCT
easat-3825	142	17	distinguishing	distinguish	VERB
easat-3825	142	18	'	'	PUNCT
easat-3825	142	19	missing	miss	VERB
easat-3825	142	20	at	at	ADP
easat-3825	142	21	random	random	ADJ
easat-3825	142	22	'	'	PUNCT
easat-3825	142	23	&	&	CCONJ
easat-3825	142	24	'	'	PUNCT
easat-3825	142	25	missing	miss	VERB
easat-3825	142	26	completely	completely	ADV
easat-3825	142	27	at	at	ADP
easat-3825	142	28	random	random	ADJ
easat-3825	142	29	'	'	PUNCT
easat-3825	142	30	the	the	DET
easat-3825	142	31	jasa	jasa	PROPN
easat-3825	142	32	,	,	PUNCT
easat-3825	142	33	vol	vol	NOUN
easat-3825	142	34	.	.	PROPN
easat-3825	142	35	23	23	NUM
easat-3825	142	36	,	,	PUNCT
easat-3825	142	37	no	no	INTJ
easat-3825	142	38	.	.	NOUN
easat-3825	142	39	4	4	NUM
easat-3825	142	40	,	,	PUNCT
easat-3825	142	41	p.	p.	NOUN
easat-3825	142	42	123132	123132	NUM
easat-3825	142	43	.	.	PUNCT
easat-3825	143	1	https://creativecommons.org/licenses/by/4.0/	https://creativecommons.org/licenses/by/4.0/	PROPN
easat-3825	143	2	8513	8513	NUM
easat-3825	143	3	edelweiss	edelweiss	PROPN
easat-3825	143	4	applied	apply	VERB
easat-3825	143	5	science	science	NOUN
easat-3825	143	6	and	and	CCONJ
easat-3825	143	7	technology	technology	NOUN
easat-3825	143	8	issn	issn	PROPN
easat-3825	143	9	:	:	PUNCT
easat-3825	143	10	2576	2576	NUM
easat-3825	143	11	-	-	SYM
easat-3825	143	12	8484	8484	NUM
easat-3825	143	13	vol	vol	NOUN
easat-3825	143	14	.	.	PROPN
easat-3825	143	15	8	8	NUM
easat-3825	143	16	,	,	PUNCT
easat-3825	143	17	no	no	INTJ
easat-3825	143	18	.	.	NOUN
easat-3825	143	19	6	6	NUM
easat-3825	143	20	:	:	SYM
easat-3825	143	21	8506	8506	NUM
easat-3825	143	22	-	-	SYM
easat-3825	143	23	8513	8513	NUM
easat-3825	143	24	,	,	PUNCT
easat-3825	143	25	2024	2024	NUM
easat-3825	143	26	doi	doi	NOUN
easat-3825	143	27	:	:	PUNCT
easat-3825	143	28	10.55214/25768484.v8i6.3825	10.55214/25768484.v8i6.3825	PROPN
easat-3825	143	29	©	©	PROPN
easat-3825	143	30	2024	2024	NUM
easat-3825	143	31	by	by	ADP
easat-3825	143	32	the	the	DET
easat-3825	143	33	authors	author	NOUN
easat-3825	143	34	;	;	PUNCT
easat-3825	143	35	licensee	licensee	PROPN
easat-3825	143	36	learning	learning	NOUN
easat-3825	143	37	gate	gate	NOUN
easat-3825	144	1	[	[	X
easat-3825	144	2	2	2	NUM
easat-3825	144	3	]	]	PUNCT
easat-3825	144	4	beal	beal	NOUN
easat-3825	144	5	,	,	PUNCT
easat-3825	144	6	m.j	m.j	PROPN
easat-3825	144	7	.	.	PROPN
easat-3825	144	8	,	,	PUNCT
easat-3825	144	9	&	&	CCONJ
easat-3825	144	10	ghahramani	ghahramani	PROPN
easat-3825	144	11	,	,	PUNCT
easat-3825	144	12	z.	z.	PROPN
easat-3825	144	13	(	(	PUNCT
easat-3825	144	14	2016	2016	NUM
easat-3825	144	15	)	)	PUNCT
easat-3825	144	16	"	"	PUNCT
easat-3825	144	17	the	the	DET
easat-3825	144	18	variational	variational	ADJ
easat-3825	144	19	bayesian	bayesian	NOUN
easat-3825	144	20	em	em	PRON
easat-3825	144	21	algorithm	algorithm	NOUN
easat-3825	144	22	for	for	ADP
easat-3825	144	23	incomplete	incomplete	ADJ
easat-3825	144	24	data	datum	NOUN
easat-3825	144	25	:	:	PUNCT
easat-3825	144	26	with	with	ADP
easat-3825	144	27	application	application	NOUN
easat-3825	144	28	to	to	ADP
easat-3825	144	29	scoring	score	VERB
easat-3825	144	30	graphical	graphical	ADJ
easat-3825	144	31	model	model	NOUN
easat-3825	144	32	structures	structure	NOUN
easat-3825	144	33	"	"	PUNCT
easat-3825	144	34	,	,	PUNCT
easat-3825	144	35	www.stat.cmu.edu/fienberg/stat36-756-16.html	www.stat.cmu.edu/fienberg/stat36-756-16.html	PROPN
easat-3825	144	36	.	.	PUNCT
easat-3825	145	1	[	[	X
easat-3825	145	2	3	3	NUM
easat-3825	145	3	]	]	X
easat-3825	145	4	bickel	bickel	PROPN
easat-3825	145	5	,	,	PUNCT
easat-3825	145	6	d.r	d.r	PROPN
easat-3825	145	7	.	.	PROPN
easat-3825	145	8	,(2012	,(2012	PROPN
easat-3825	145	9	)	)	PUNCT
easat-3825	145	10	.	.	PUNCT
easat-3825	146	1	"	"	PUNCT
easat-3825	146	2	robust	robust	ADJ
easat-3825	146	3	and	and	CCONJ
easat-3825	146	4	efficient	efficient	ADJ
easat-3825	146	5	estimation	estimation	NOUN
easat-3825	146	6	of	of	ADP
easat-3825	146	7	the	the	DET
easat-3825	146	8	mode	mode	NOUN
easat-3825	146	9	of	of	ADP
easat-3825	146	10	continuous	continuous	ADJ
easat-3825	146	11	data	datum	NOUN
easat-3825	146	12	"	"	PUNCT
easat-3825	146	13	http://www.mcg.edu/research/biostat/bickel.html	http://www.mcg.edu/research/biostat/bickel.html	NOUN
easat-3825	146	14	.	.	PUNCT
easat-3825	147	1	[	[	X
easat-3825	147	2	4	4	NUM
easat-3825	147	3	]	]	X
easat-3825	147	4	campbell	campbell	PROPN
easat-3825	147	5	,	,	PUNCT
easat-3825	147	6	n.	n.	PROPN
easat-3825	147	7	a	a	PRON
easat-3825	147	8	(	(	PUNCT
easat-3825	147	9	1999	1999	NUM
easat-3825	147	10	)	)	PUNCT
easat-3825	147	11	"	"	PUNCT
easat-3825	147	12	robust	robust	ADJ
easat-3825	147	13	procedures	procedure	NOUN
easat-3825	147	14	in	in	ADP
easat-3825	147	15	multivariate	multivariate	NOUN
easat-3825	147	16	analysis	analysis	NOUN
easat-3825	147	17	i	i	PRON
easat-3825	147	18	:	:	PUNCT
easat-3825	147	19	robust	robust	ADJ
easat-3825	147	20	covariance	covariance	NOUN
easat-3825	147	21	estimation	estimation	NOUN
easat-3825	147	22	"	"	PUNCT
easat-3825	147	23	applied	apply	VERB
easat-3825	147	24	statistics	statistic	NOUN
easat-3825	147	25	,	,	PUNCT
easat-3825	147	26	vol	vol	NOUN
easat-3825	147	27	.	.	PROPN
easat-3825	147	28	23	23	NUM
easat-3825	147	29	,	,	PUNCT
easat-3825	147	30	p.	p.	NOUN
easat-3825	147	31	213224	213224	NUM
easat-3825	147	32	.	.	PUNCT
easat-3825	148	1	[	[	X
easat-3825	148	2	5	5	X
easat-3825	148	3	]	]	X
easat-3825	148	4	daniel	daniel	PROPN
easat-3825	148	5	p.	p.	PROPN
easat-3825	148	6	normolle	normolle	PROPN
easat-3825	148	7	.(2013)."an	.(2013)."an	PROPN
easat-3825	148	8	algorithm	algorithm	PROPN
easat-3825	148	9	for	for	ADP
easat-3825	148	10	robust	robust	ADJ
easat-3825	148	11	nonlinear	nonlinear	ADJ
easat-3825	148	12	analysis	analysis	NOUN
easat-3825	148	13	of	of	ADP
easat-3825	148	14	radioimmunoassay	radioimmunoassay	NOUN
easat-3825	148	15	and	and	CCONJ
easat-3825	148	16	othre	othre	PROPN
easat-3825	148	17	bioassays	bioassay	NOUN
easat-3825	148	18	"	"	PUNCT
easat-3825	148	19	ann	ann	PROPN
easat-3825	148	20	arbor	arbor	PROPN
easat-3825	148	21	,	,	PUNCT
easat-3825	148	22	mi	mi	PROPN
easat-3825	148	23	48119	48119	PROPN
easat-3825	148	24	-	-	SYM
easat-3825	148	25	2129	2129	NUM
easat-3825	148	26	,	,	PUNCT
easat-3825	148	27	313	313	NUM
easat-3825	148	28	-	-	SYM
easat-3825	148	29	936	936	NUM
easat-3825	148	30	-	-	PUNCT
easat-3825	148	31	1113	1113	NUM
easat-3825	148	32	.	.	PUNCT
easat-3825	149	1	[	[	X
easat-3825	149	2	6	6	NUM
easat-3825	149	3	]	]	X
easat-3825	149	4	david	david	PROPN
easat-3825	149	5	,	,	PUNCT
easat-3825	149	6	t.	t.	PROPN
easat-3825	149	7	o	o	PROPN
easat-3825	149	8	(	(	PUNCT
easat-3825	149	9	2014	2014	NUM
easat-3825	149	10	)	)	PUNCT
easat-3825	149	11	"	"	PUNCT
easat-3825	149	12	applied	apply	VERB
easat-3825	149	13	robust	robust	ADJ
easat-3825	149	14	statistics	statistic	NOUN
easat-3825	149	15	"	"	PUNCT
easat-3825	149	16	chapman	chapman	PROPN
easat-3825	149	17	&	&	CCONJ
easat-3825	149	18	hall	hall	PROPN
easat-3825	149	19	,	,	PUNCT
easat-3825	149	20	new	new	PROPN
easat-3825	149	21	york	york	PROPN
easat-3825	149	22	.	.	PUNCT
easat-3825	150	1	[	[	X
easat-3825	150	2	7	7	NUM
easat-3825	150	3	]	]	X
easat-3825	150	4	dempster	dempster	PROPN
easat-3825	150	5	,	,	PUNCT
easat-3825	150	6	a.	a.	NOUN
easat-3825	150	7	p.	p.	PROPN
easat-3825	150	8	&	&	CCONJ
easat-3825	150	9	larid	larid	PROPN
easat-3825	150	10	,	,	PUNCT
easat-3825	150	11	n.	n.	PROPN
easat-3825	150	12	m.	m.	PROPN
easat-3825	150	13	&	&	CCONJ
easat-3825	150	14	rubin	rubin	PROPN
easat-3825	150	15	,	,	PUNCT
easat-3825	150	16	d.	d.	PROPN
easat-3825	150	17	b.	b.	PROPN
easat-3825	150	18	(	(	PUNCT
easat-3825	150	19	1977	1977	NUM
easat-3825	150	20	)	)	PUNCT
easat-3825	150	21	"	"	PUNCT
easat-3825	150	22	maximum	maximum	ADJ
easat-3825	150	23	likelihood	likelihood	NOUN
easat-3825	150	24	from	from	ADP
easat-3825	150	25	incomplete	incomplete	ADJ
easat-3825	150	26	data	datum	NOUN
easat-3825	150	27	via	via	ADP
easat-3825	150	28	the	the	DET
easat-3825	150	29	em	em	PROPN
easat-3825	150	30	algorithm	algorithm	NOUN
easat-3825	150	31	"	"	PUNCT
easat-3825	150	32	j.	j.	PROPN
easat-3825	150	33	royal	royal	PROPN
easat-3825	150	34	statist	statist	PROPN
easat-3825	150	35	.	.	PUNCT
easat-3825	151	1	soc	soc	PROPN
easat-3825	151	2	.	.	PUNCT
easat-3825	152	1	ser	ser	PROPN
easat-3825	152	2	.	.	PUNCT
easat-3825	153	1	b	b	NUM
easat-3825	153	2	,	,	PUNCT
easat-3825	153	3	vol	vol	NOUN
easat-3825	153	4	.	.	PROPN
easat-3825	153	5	11	11	NUM
easat-3825	153	6	,	,	PUNCT
easat-3825	153	7	p.	p.	NOUN
easat-3825	153	8	1	1	NUM
easat-3825	153	9	-	-	SYM
easat-3825	153	10	22	22	NUM
easat-3825	153	11	.	.	PUNCT
easat-3825	154	1	[	[	X
easat-3825	154	2	8	8	X
easat-3825	154	3	]	]	X
easat-3825	154	4	ftp://ftp.cea.fr/pub/dsv/madic/pubils/roche-em	ftp://ftp.cea.fr/pub/dsv/madic/pubils/roche-em	PROPN
easat-3825	154	5	.	.	PUNCT
easat-3825	155	1	[	[	X
easat-3825	155	2	9	9	NUM
easat-3825	155	3	]	]	SYM
easat-3825	155	4	honaker	honaker	NOUN
easat-3825	155	5	,	,	PUNCT
easat-3825	155	6	j.	j.	PROPN
easat-3825	155	7	;	;	PUNCT
easat-3825	155	8	joseph	joseph	PROPN
easat-3825	155	9	,	,	PUNCT
easat-3825	155	10	a.	a.	PROPN
easat-3825	155	11	;	;	PUNCT
easat-3825	155	12	king	king	NOUN
easat-3825	155	13	,	,	PUNCT
easat-3825	155	14	g.	g.	PROPN
easat-3825	155	15	&	&	CCONJ
easat-3825	155	16	scheve	scheve	PROPN
easat-3825	155	17	,	,	PUNCT
easat-3825	155	18	k.	k.	PROPN
easat-3825	155	19	(	(	PUNCT
easat-3825	155	20	2011	2011	NUM
easat-3825	155	21	)	)	PUNCT
easat-3825	155	22	"	"	PUNCT
easat-3825	155	23	analyzing	analyze	VERB
easat-3825	155	24	incomplete	incomplete	ADJ
easat-3825	155	25	political	political	ADJ
easat-3825	155	26	science	science	NOUN
easat-3825	155	27	data	datum	NOUN
easat-3825	155	28	:	:	PUNCT
easat-3825	155	29	an	an	DET
easat-3825	155	30	alternative	alternative	ADJ
easat-3825	155	31	algroithm	algroithm	NOUN
easat-3825	155	32	for	for	ADP
easat-3825	155	33	multiple	multiple	ADJ
easat-3825	155	34	imputation	imputation	NOUN
easat-3825	155	35	"	"	PUNCT
easat-3825	155	36	american	american	ADJ
easat-3825	155	37	political	political	ADJ
easat-3825	155	38	science	science	NOUN
easat-3825	155	39	review	review	NOUN
easat-3825	155	40	,	,	PUNCT
easat-3825	155	41	vol	vol	NOUN
easat-3825	155	42	.	.	PROPN
easat-3825	155	43	68	68	NUM
easat-3825	155	44	,	,	PUNCT
easat-3825	155	45	no	no	INTJ
easat-3825	155	46	.	.	NOUN
easat-3825	155	47	2	2	NUM
easat-3825	155	48	,	,	PUNCT
easat-3825	155	49	p.	p.	NOUN
easat-3825	155	50	123	123	NUM
easat-3825	155	51	-	-	SYM
easat-3825	155	52	137	137	NUM
easat-3825	155	53	.	.	PUNCT
easat-3825	156	1	[	[	X
easat-3825	156	2	10	10	NUM
easat-3825	156	3	]	]	X
easat-3825	156	4	jank	jank	PROPN
easat-3825	156	5	,	,	PUNCT
easat-3825	156	6	w.	w.	PROPN
easat-3825	156	7	(	(	PUNCT
easat-3825	156	8	2016	2016	NUM
easat-3825	156	9	)	)	PUNCT
easat-3825	156	10	"	"	PUNCT
easat-3825	156	11	the	the	DET
easat-3825	156	12	em	em	PROPN
easat-3825	156	13	algorithm	algorithm	NOUN
easat-3825	156	14	,	,	PUNCT
easat-3825	156	15	it	it	PRON
easat-3825	156	16	's	be	AUX
easat-3825	156	17	stochastic	stochastic	ADJ
easat-3825	156	18	implementation	implementation	NOUN
easat-3825	156	19	and	and	CCONJ
easat-3825	156	20	global	global	ADJ
easat-3825	156	21	optimization	optimization	NOUN
easat-3825	156	22	:	:	PUNCT
easat-3825	156	23	some	some	DET
easat-3825	156	24	challenges	challenge	NOUN
easat-3825	156	25	and	and	CCONJ
easat-3825	156	26	opportunities	opportunity	NOUN
easat-3825	156	27	for	for	ADP
easat-3825	156	28	or	or	CCONJ
easat-3825	156	29	"	"	PUNCT
easat-3825	156	30	,	,	PUNCT
easat-3825	156	31	www.rhsmith.umd.edu/faculty/wjank/.../page1118.htm	www.rhsmith.umd.edu/faculty/wjank/.../page1118.htm	INTJ
easat-3825	156	32	.	.	PUNCT
easat-3825	157	1	[	[	X
easat-3825	157	2	11	11	NUM
easat-3825	157	3	]	]	PUNCT
easat-3825	157	4	jurckova	jurckova	PROPN
easat-3825	157	5	,	,	PUNCT
easat-3825	157	6	j.	j.	PROPN
easat-3825	157	7	&	&	CCONJ
easat-3825	157	8	sen	sen	PROPN
easat-3825	157	9	,	,	PUNCT
easat-3825	157	10	p.	p.	PROPN
easat-3825	157	11	k.	k.	PROPN
easat-3825	157	12	(	(	PUNCT
easat-3825	157	13	1996	1996	NUM
easat-3825	157	14	)	)	PUNCT
easat-3825	157	15	"	"	PUNCT
easat-3825	157	16	robust	robust	ADJ
easat-3825	157	17	statistical	statistical	ADJ
easat-3825	157	18	procedures	procedure	NOUN
easat-3825	157	19	;	;	PUNCT
easat-3825	157	20	asymptotic	asymptotic	ADJ
easat-3825	157	21	and	and	CCONJ
easat-3825	157	22	interrelations	interrelation	NOUN
easat-3825	157	23	"	"	PUNCT
easat-3825	157	24	john	john	PROPN
easat-3825	157	25	wile	wile	PROPN
easat-3825	157	26	&	&	CCONJ
easat-3825	157	27	sons	son	NOUN
easat-3825	157	28	,	,	PUNCT
easat-3825	157	29	new	new	PROPN
easat-3825	157	30	york	york	PROPN
easat-3825	157	31	.	.	PUNCT
easat-3825	158	1	[	[	X
easat-3825	158	2	12	12	NUM
easat-3825	158	3	]	]	X
easat-3825	158	4	lin	lin	PROPN
easat-3825	158	5	,	,	PUNCT
easat-3825	158	6	c.	c.	PROPN
easat-3825	158	7	&	&	CCONJ
easat-3825	158	8	rubin	rubin	PROPN
easat-3825	158	9	,	,	PUNCT
easat-3825	158	10	d.	d.	PROPN
easat-3825	158	11	b.	b.	PROPN
easat-3825	158	12	(	(	PUNCT
easat-3825	158	13	2012	2012	NUM
easat-3825	158	14	)	)	PUNCT
easat-3825	158	15	"	"	PUNCT
easat-3825	158	16	maximum	maximum	ADJ
easat-3825	158	17	likelihood	likelihood	NOUN
easat-3825	158	18	estimation	estimation	NOUN
easat-3825	158	19	of	of	ADP
easat-3825	158	20	factor	factor	NOUN
easat-3825	158	21	analysis	analysis	NOUN
easat-3825	158	22	using	use	VERB
easat-3825	158	23	the	the	DET
easat-3825	158	24	ecme	ecme	NOUN
easat-3825	158	25	algorithm	algorithm	NOUN
easat-3825	158	26	with	with	ADP
easat-3825	158	27	complete	complete	ADJ
easat-3825	158	28	and	and	CCONJ
easat-3825	158	29	incomplete	incomplete	ADJ
easat-3825	158	30	data	datum	NOUN
easat-3825	158	31	"	"	PUNCT
easat-3825	158	32	,	,	PUNCT
easat-3825	158	33	statistica	statistica	PROPN
easat-3825	158	34	sinica	sinica	PROPN
easat-3825	158	35	8	8	NUM
easat-3825	158	36	,	,	PUNCT
easat-3825	158	37	p.	p.	NOUN
easat-3825	158	38	437	437	NUM
easat-3825	158	39	-	-	SYM
easat-3825	158	40	446	446	NUM
easat-3825	158	41	.	.	PUNCT
easat-3825	159	1	[	[	X
easat-3825	159	2	13	13	NUM
easat-3825	159	3	]	]	X
easat-3825	159	4	little	little	ADJ
easat-3825	159	5	,	,	PUNCT
easat-3825	159	6	r.	r.	PROPN
easat-3825	159	7	j.	j.	PROPN
easat-3825	159	8	a.	a.	PROPN
easat-3825	159	9	&	&	CCONJ
easat-3825	159	10	rubin	rubin	PROPN
easat-3825	159	11	,	,	PUNCT
easat-3825	159	12	d.	d.	PROPN
easat-3825	159	13	b	b	PROPN
easat-3825	159	14	(	(	PUNCT
easat-3825	159	15	2013	2013	NUM
easat-3825	159	16	)	)	PUNCT
easat-3825	159	17	"	"	PUNCT
easat-3825	159	18	statistical	statistical	ADJ
easat-3825	159	19	analysis	analysis	NOUN
easat-3825	159	20	with	with	ADP
easat-3825	159	21	missing	miss	VERB
easat-3825	159	22	data	datum	NOUN
easat-3825	159	23	"	"	PUNCT
easat-3825	159	24	,	,	PUNCT
easat-3825	159	25	2nd	2nd	ADJ
easat-3825	159	26	ed	ed	NOUN
easat-3825	159	27	.	.	PROPN
easat-3825	159	28	,	,	PUNCT
easat-3825	159	29	john	john	PROPN
easat-3825	159	30	wile	wile	PROPN
easat-3825	159	31	&	&	CCONJ
easat-3825	159	32	sons	son	NOUN
easat-3825	159	33	,	,	PUNCT
easat-3825	159	34	new	new	PROPN
easat-3825	159	35	york	york	PROPN
easat-3825	159	36	.	.	PUNCT
easat-3825	160	1	[	[	X
easat-3825	160	2	14	14	NUM
easat-3825	160	3	]	]	X
easat-3825	160	4	little	little	ADJ
easat-3825	160	5	,	,	PUNCT
easat-3825	160	6	r.	r.	PROPN
easat-3825	160	7	j.	j.	PROPN
easat-3825	160	8	a.	a.	PROPN
easat-3825	160	9	&	&	CCONJ
easat-3825	160	10	rubin	rubin	PROPN
easat-3825	160	11	,	,	PUNCT
easat-3825	160	12	d.	d.	PROPN
easat-3825	160	13	b.	b.	PROPN
easat-3825	160	14	(	(	PUNCT
easat-3825	160	15	2012	2012	NUM
easat-3825	160	16	)	)	PUNCT
easat-3825	160	17	"	"	PUNCT
easat-3825	160	18	statistical	statistical	ADJ
easat-3825	160	19	analysis	analysis	NOUN
easat-3825	160	20	with	with	ADP
easat-3825	160	21	missing	miss	VERB
easat-3825	160	22	data	datum	NOUN
easat-3825	160	23	"	"	PUNCT
easat-3825	160	24	,	,	PUNCT
easat-3825	160	25	new	new	PROPN
easat-3825	160	26	york	york	PROPN
easat-3825	160	27	:	:	PUNCT
easat-3825	160	28	john	john	PROPN
easat-3825	160	29	.	.	PROPN
easat-3825	160	30	wiley	wiley	PROPN
easat-3825	160	31	.	.	PUNCT
easat-3825	161	1	[	[	X
easat-3825	161	2	15	15	NUM
easat-3825	161	3	]	]	PUNCT
easat-3825	161	4	maronna	maronna	NOUN
easat-3825	161	5	,	,	PUNCT
easat-3825	161	6	r.	r.	PROPN
easat-3825	161	7	a.	a.	PROPN
easat-3825	161	8	(	(	PUNCT
easat-3825	161	9	1976	1976	NUM
easat-3825	161	10	)	)	PUNCT
easat-3825	161	11	"	"	PUNCT
easat-3825	161	12	robust	robust	ADJ
easat-3825	161	13	mestimators	mestimator	NOUN
easat-3825	161	14	of	of	ADP
easat-3825	161	15	multivariate	multivariate	NOUN
easat-3825	161	16	location	location	NOUN
easat-3825	161	17	and	and	CCONJ
easat-3825	161	18	scatter	scatter	NOUN
easat-3825	161	19	"	"	PUNCT
easat-3825	161	20	the	the	DET
easat-3825	161	21	annals	annal	NOUN
easat-3825	161	22	of	of	ADP
easat-3825	161	23	statistics	statistic	NOUN
easat-3825	161	24	,	,	PUNCT
easat-3825	161	25	vol	vol	NOUN
easat-3825	161	26	.	.	PROPN
easat-3825	162	1	3	3	NUM
easat-3825	162	2	,	,	PUNCT
easat-3825	162	3	p.	p.	NOUN
easat-3825	162	4	3348	3348	NUM
easat-3825	162	5	.	.	PUNCT
easat-3825	163	1	[	[	X
easat-3825	163	2	16	16	NUM
easat-3825	163	3	]	]	X
easat-3825	163	4	morrison	morrison	PROPN
easat-3825	163	5	,	,	PUNCT
easat-3825	163	6	d.	d.	PROPN
easat-3825	163	7	f.	f.	PROPN
easat-3825	163	8	(	(	PUNCT
easat-3825	163	9	1971	1971	NUM
easat-3825	163	10	)	)	PUNCT
easat-3825	163	11	"	"	PUNCT
easat-3825	163	12	expectation	expectation	NOUN
easat-3825	163	13	and	and	CCONJ
easat-3825	163	14	variances	variance	NOUN
easat-3825	163	15	of	of	ADP
easat-3825	163	16	maximum	maximum	ADJ
easat-3825	163	17	likelihood	likelihood	NOUN
easat-3825	163	18	estimates	estimate	NOUN
easat-3825	163	19	of	of	ADP
easat-3825	163	20	the	the	DET
easat-3825	163	21	multivariate	multivariate	NOUN
easat-3825	163	22	normal	normal	ADJ
easat-3825	163	23	distribution	distribution	NOUN
easat-3825	163	24	parameters	parameter	NOUN
easat-3825	163	25	with	with	ADP
easat-3825	163	26	missing	miss	VERB
easat-3825	163	27	data	datum	NOUN
easat-3825	163	28	"	"	PUNCT
easat-3825	163	29	,	,	PUNCT
easat-3825	163	30	jasa	jasa	PROPN
easat-3825	163	31	,	,	PUNCT
easat-3825	163	32	vol	vol	NOUN
easat-3825	163	33	.	.	PROPN
easat-3825	163	34	53	53	NUM
easat-3825	163	35	,	,	PUNCT
easat-3825	163	36	p.	p.	NOUN
easat-3825	163	37	326339	326339	NUM
easat-3825	163	38	.	.	PUNCT
easat-3825	164	1	[	[	X
easat-3825	164	2	17	17	NUM
easat-3825	164	3	]	]	X
easat-3825	164	4	peter	peter	PROPN
easat-3825	164	5	,	,	PUNCT
easat-3825	164	6	j.	j.	PROPN
easat-3825	164	7	h	h	PROPN
easat-3825	164	8	(	(	PUNCT
easat-3825	164	9	1981	1981	NUM
easat-3825	164	10	)	)	PUNCT
easat-3825	164	11	"	"	PUNCT
easat-3825	164	12	robust	robust	ADJ
easat-3825	164	13	statistic	statistic	NOUN
easat-3825	164	14	"	"	PUNCT
easat-3825	164	15	john	john	PROPN
easat-3825	164	16	wile	wile	PROPN
easat-3825	164	17	&	&	CCONJ
easat-3825	164	18	sons	son	NOUN
easat-3825	164	19	,	,	PUNCT
easat-3825	164	20	new	new	PROPN
easat-3825	164	21	york	york	PROPN
easat-3825	164	22	.	.	PUNCT
easat-3825	165	1	[	[	X
easat-3825	165	2	18	18	NUM
easat-3825	165	3	]	]	X
easat-3825	165	4	roche	roche	X
easat-3825	165	5	.	.	PUNCT
easat-3825	166	1	a.	a.	PROPN
easat-3825	166	2	(	(	PUNCT
easat-3825	166	3	2016	2016	NUM
easat-3825	166	4	)	)	PUNCT
easat-3825	166	5	"	"	PUNCT
easat-3825	166	6	em	em	PRON
easat-3825	166	7	algorithm	algorithm	NOUN
easat-3825	166	8	and	and	CCONJ
easat-3825	166	9	variants	variant	NOUN
easat-3825	166	10	:	:	PUNCT
easat-3825	166	11	an	an	DET
easat-3825	166	12	informal	informal	ADJ
easat-3825	166	13	tutorial	tutorial	NOUN
easat-3825	166	14	"	"	PUNCT
easat-3825	166	15	,	,	PUNCT
easat-3825	166	16	[	[	X
easat-3825	166	17	19	19	NUM
easat-3825	166	18	]	]	X
easat-3825	166	19	rubin	rubin	PROPN
easat-3825	166	20	,	,	PUNCT
easat-3825	166	21	d.	d.	PROPN
easat-3825	166	22	b.	b.	PROPN
easat-3825	166	23	(	(	PUNCT
easat-3825	166	24	1974	1974	NUM
easat-3825	166	25	)	)	PUNCT
easat-3825	166	26	"	"	PUNCT
easat-3825	166	27	characterizing	characterize	VERB
easat-3825	166	28	the	the	DET
easat-3825	166	29	estimation	estimation	NOUN
easat-3825	166	30	of	of	ADP
easat-3825	166	31	parameters	parameter	NOUN
easat-3825	166	32	in	in	ADP
easat-3825	166	33	incompletedata	incompletedata	ADJ
easat-3825	166	34	problems	problem	NOUN
easat-3825	166	35	"	"	PUNCT
easat-3825	166	36	journal	journal	NOUN
easat-3825	166	37	of	of	ADP
easat-3825	166	38	the	the	DET
easat-3825	166	39	american	american	PROPN
easat-3825	166	40	statistical	statistical	ADJ
easat-3825	166	41	association	association	NOUN
easat-3825	166	42	.	.	PUNCT
easat-3825	167	1	http://www.stat.cmu.edu/fienberg/stat36-756-06.html	http://www.stat.cmu.edu/fienberg/stat36-756-06.html	PROPN
easat-3825	168	1	ftp://ftp.cea.fr/pub/dsv/madic/pubils/roche-em	ftp://ftp.cea.fr/pub/dsv/madic/pubils/roche-em	PROPN
easat-3825	168	2	http://www.rhsmith.umd.edu/faculty/wjank/.../page1118.htm	http://www.rhsmith.umd.edu/faculty/wjank/.../page1118.htm	PROPN
