id	sid	tid	token	lemma	pos
cana-4995	1	1	communications	communication	NOUN
cana-4995	1	2	on	on	ADP
cana-4995	1	3	applied	apply	VERB
cana-4995	1	4	nonlinear	nonlinear	ADJ
cana-4995	1	5	analysis	analysis	NOUN
cana-4995	1	6	issn	issn	NOUN
cana-4995	1	7	:	:	PUNCT
cana-4995	1	8	1074	1074	NUM
cana-4995	1	9	-	-	PUNCT
cana-4995	1	10	133x	133x	NUM
cana-4995	1	11	vol	vol	NOUN
cana-4995	1	12	31	31	NUM
cana-4995	1	13	no	no	NOUN
cana-4995	1	14	.	.	PUNCT
cana-4995	2	1	8s	8s	PROPN
cana-4995	2	2	(	(	PUNCT
cana-4995	2	3	2024	2024	NUM
cana-4995	2	4	)	)	PUNCT
cana-4995	2	5	875	875	NUM
cana-4995	2	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4995	2	7	bootstrapping	bootstrappe	VERB
cana-4995	2	8	collinear	collinear	ADJ
cana-4995	2	9	poisson	poisson	NOUN
cana-4995	2	10	regression	regression	NOUN
cana-4995	2	11	system	system	NOUN
cana-4995	2	12	:	:	PUNCT
cana-4995	2	13	a	a	DET
cana-4995	2	14	simulation	simulation	NOUN
cana-4995	2	15	study	study	NOUN
cana-4995	2	16	mohamed	mohamed	PROPN
cana-4995	2	17	a.	a.	PROPN
cana-4995	2	18	gharib	gharib	PROPN
cana-4995	2	19	*	*	PROPN
cana-4995	2	20	,	,	PUNCT
cana-4995	2	21	ahmed	ahmed	PROPN
cana-4995	2	22	h.	h.	PROPN
cana-4995	2	23	yousef	yousef	PROPN
cana-4995	2	24	,	,	PUNCT
cana-4995	2	25	salah	salah	PROPN
cana-4995	2	26	m.	m.	PROPN
cana-4995	2	27	mohamed	mohamed	PROPN
cana-4995	2	28	department	department	PROPN
cana-4995	2	29	of	of	ADP
cana-4995	2	30	applied	apply	VERB
cana-4995	2	31	statistics	statistic	NOUN
cana-4995	2	32	and	and	CCONJ
cana-4995	2	33	econometrics	econometric	NOUN
cana-4995	2	34	,	,	PUNCT
cana-4995	2	35	faculty	faculty	NOUN
cana-4995	2	36	of	of	ADP
cana-4995	2	37	graduate	graduate	ADJ
cana-4995	2	38	studies	study	NOUN
cana-4995	2	39	for	for	ADP
cana-4995	2	40	statistical	statistical	ADJ
cana-4995	2	41	research	research	NOUN
cana-4995	2	42	,	,	PUNCT
cana-4995	2	43	cairo	cairo	PROPN
cana-4995	2	44	university	university	PROPN
cana-4995	2	45	,	,	PUNCT
cana-4995	2	46	giza	giza	PROPN
cana-4995	2	47	,	,	PUNCT
cana-4995	2	48	egypt	egypt	PROPN
cana-4995	2	49	.	.	PUNCT
cana-4995	3	1	*	*	PUNCT
cana-4995	3	2	12422019512772@pg.cu.edu.eg	12422019512772@pg.cu.edu.eg	NUM
cana-4995	3	3	article	article	NOUN
cana-4995	3	4	history	history	NOUN
cana-4995	3	5	:	:	PUNCT
cana-4995	3	6	received	receive	VERB
cana-4995	3	7	:	:	PUNCT
cana-4995	3	8	25	25	NUM
cana-4995	3	9	-	-	SYM
cana-4995	3	10	10	10	NUM
cana-4995	3	11	-	-	PUNCT
cana-4995	3	12	2024	2024	NUM
cana-4995	3	13	revised	revise	VERB
cana-4995	3	14	:	:	PUNCT
cana-4995	3	15	15	15	NUM
cana-4995	3	16	-	-	SYM
cana-4995	3	17	11	11	NUM
cana-4995	3	18	-	-	PUNCT
cana-4995	3	19	2024	2024	NUM
cana-4995	3	20	accepted	accept	VERB
cana-4995	3	21	:	:	PUNCT
cana-4995	3	22	28	28	NUM
cana-4995	3	23	-	-	SYM
cana-4995	3	24	12	12	NUM
cana-4995	3	25	-	-	PUNCT
cana-4995	3	26	2024	2024	NUM
cana-4995	3	27	abstract	abstract	NOUN
cana-4995	3	28	:	:	PUNCT
cana-4995	3	29	count	count	VERB
cana-4995	3	30	data	datum	NOUN
cana-4995	3	31	modelling	modelling	NOUN
cana-4995	3	32	is	be	AUX
cana-4995	3	33	used	use	VERB
cana-4995	3	34	in	in	ADP
cana-4995	3	35	many	many	ADJ
cana-4995	3	36	fields	field	NOUN
cana-4995	3	37	,	,	PUNCT
cana-4995	3	38	such	such	ADJ
cana-4995	3	39	as	as	ADP
cana-4995	3	40	predicting	predict	VERB
cana-4995	3	41	the	the	DET
cana-4995	3	42	football	football	NOUN
cana-4995	3	43	goals	goal	NOUN
cana-4995	3	44	number	number	NOUN
cana-4995	3	45	a	a	DET
cana-4995	3	46	player	player	NOUN
cana-4995	3	47	will	will	AUX
cana-4995	3	48	score	score	VERB
cana-4995	3	49	.	.	PUNCT
cana-4995	4	1	poisson	poisson	PROPN
cana-4995	4	2	regression	regression	PROPN
cana-4995	4	3	is	be	AUX
cana-4995	4	4	the	the	DET
cana-4995	4	5	most	most	ADV
cana-4995	4	6	popular	popular	ADJ
cana-4995	4	7	model	model	NOUN
cana-4995	4	8	when	when	SCONJ
cana-4995	4	9	modeling	model	VERB
cana-4995	4	10	the	the	DET
cana-4995	4	11	effect	effect	NOUN
cana-4995	4	12	of	of	ADP
cana-4995	4	13	a	a	DET
cana-4995	4	14	dependent	dependent	ADJ
cana-4995	4	15	variable	variable	NOUN
cana-4995	4	16	that	that	PRON
cana-4995	4	17	takes	take	VERB
cana-4995	4	18	non	non	ADJ
cana-4995	4	19	-	-	ADJ
cana-4995	4	20	negative	negative	ADJ
cana-4995	4	21	integer	integer	NOUN
cana-4995	4	22	values	value	NOUN
cana-4995	4	23	on	on	ADP
cana-4995	4	24	one	one	NUM
cana-4995	4	25	or	or	CCONJ
cana-4995	4	26	more	more	ADV
cana-4995	4	27	explanatory	explanatory	ADJ
cana-4995	4	28	variable(s	variable(s	NOUN
cana-4995	4	29	)	)	PUNCT
cana-4995	4	30	.	.	PUNCT
cana-4995	5	1	poisson	poisson	PROPN
cana-4995	5	2	regression	regression	PROPN
cana-4995	5	3	model	model	NOUN
cana-4995	5	4	is	be	AUX
cana-4995	5	5	classified	classify	VERB
cana-4995	5	6	as	as	ADP
cana-4995	5	7	a	a	DET
cana-4995	5	8	generalized	generalized	ADJ
cana-4995	5	9	linear	linear	ADJ
cana-4995	5	10	model	model	NOUN
cana-4995	5	11	which	which	PRON
cana-4995	5	12	depends	depend	VERB
cana-4995	5	13	on	on	ADP
cana-4995	5	14	the	the	DET
cana-4995	5	15	log	log	NOUN
cana-4995	5	16	-	-	PUNCT
cana-4995	5	17	link	link	NOUN
cana-4995	5	18	function	function	NOUN
cana-4995	5	19	.	.	PUNCT
cana-4995	6	1	the	the	DET
cana-4995	6	2	problem	problem	NOUN
cana-4995	6	3	of	of	ADP
cana-4995	6	4	multicollinearity	multicollinearity	NOUN
cana-4995	6	5	causes	cause	VERB
cana-4995	6	6	inflation	inflation	NOUN
cana-4995	6	7	of	of	ADP
cana-4995	6	8	standard	standard	ADJ
cana-4995	6	9	errors	error	NOUN
cana-4995	6	10	estimates	estimate	NOUN
cana-4995	6	11	,	,	PUNCT
cana-4995	6	12	which	which	PRON
cana-4995	6	13	leads	lead	VERB
cana-4995	6	14	to	to	ADP
cana-4995	6	15	wider	wide	ADJ
cana-4995	6	16	confidence	confidence	NOUN
cana-4995	6	17	intervals	interval	NOUN
cana-4995	6	18	.	.	PUNCT
cana-4995	7	1	increasing	increase	VERB
cana-4995	7	2	error	error	NOUN
cana-4995	7	3	of	of	ADP
cana-4995	7	4	omission	omission	NOUN
cana-4995	7	5	like	like	ADP
cana-4995	7	6	failing	fail	VERB
cana-4995	7	7	to	to	PART
cana-4995	7	8	reject	reject	VERB
cana-4995	7	9	the	the	DET
cana-4995	7	10	false	false	ADJ
cana-4995	7	11	null	null	ADJ
cana-4995	7	12	hypothesis	hypothesis	NOUN
cana-4995	7	13	,	,	PUNCT
cana-4995	7	14	which	which	PRON
cana-4995	7	15	is	be	AUX
cana-4995	7	16	known	know	VERB
cana-4995	7	17	as	as	ADP
cana-4995	7	18	type	type	NOUN
cana-4995	7	19	ii	ii	NOUN
cana-4995	7	20	error	error	NOUN
cana-4995	7	21	or	or	CCONJ
cana-4995	7	22	false	false	ADJ
cana-4995	7	23	negative	negative	ADJ
cana-4995	7	24	,	,	PUNCT
cana-4995	7	25	generally	generally	ADV
cana-4995	7	26	leads	lead	VERB
cana-4995	7	27	to	to	PART
cana-4995	7	28	produce	produce	VERB
cana-4995	7	29	incorrect	incorrect	ADJ
cana-4995	7	30	statistical	statistical	ADJ
cana-4995	7	31	decisions	decision	NOUN
cana-4995	7	32	and	and	CCONJ
cana-4995	7	33	consequently	consequently	ADV
cana-4995	7	34	misleading	mislead	VERB
cana-4995	7	35	decision	decision	NOUN
cana-4995	7	36	making	making	NOUN
cana-4995	7	37	.	.	PUNCT
cana-4995	8	1	this	this	DET
cana-4995	8	2	research	research	NOUN
cana-4995	8	3	offers	offer	VERB
cana-4995	8	4	a	a	DET
cana-4995	8	5	framework	framework	NOUN
cana-4995	8	6	for	for	ADP
cana-4995	8	7	handling	handle	VERB
cana-4995	8	8	the	the	DET
cana-4995	8	9	collinear	collinear	ADJ
cana-4995	8	10	system	system	NOUN
cana-4995	8	11	of	of	ADP
cana-4995	8	12	multiple	multiple	ADJ
cana-4995	8	13	poisson	poisson	NOUN
cana-4995	8	14	regression	regression	NOUN
cana-4995	8	15	equations	equation	NOUN
cana-4995	8	16	in	in	ADP
cana-4995	8	17	all	all	DET
cana-4995	8	18	fields	field	NOUN
cana-4995	8	19	.	.	PUNCT
cana-4995	9	1	this	this	DET
cana-4995	9	2	research	research	NOUN
cana-4995	9	3	addresses	address	VERB
cana-4995	9	4	firstly	firstly	ADV
cana-4995	9	5	the	the	DET
cana-4995	9	6	case	case	NOUN
cana-4995	9	7	of	of	ADP
cana-4995	9	8	single	single	ADJ
cana-4995	9	9	equation	equation	NOUN
cana-4995	9	10	and	and	CCONJ
cana-4995	9	11	then	then	ADV
cana-4995	9	12	the	the	DET
cana-4995	9	13	system	system	NOUN
cana-4995	9	14	of	of	ADP
cana-4995	9	15	seemingly	seemingly	ADV
cana-4995	9	16	unrelated	unrelated	ADJ
cana-4995	9	17	poisson	poisson	NOUN
cana-4995	9	18	regression	regression	NOUN
cana-4995	9	19	equations	equation	NOUN
cana-4995	9	20	,	,	PUNCT
cana-4995	9	21	focusing	focus	VERB
cana-4995	9	22	on	on	ADP
cana-4995	9	23	two	two	NUM
cana-4995	9	24	bivariate	bivariate	ADJ
cana-4995	9	25	dependent	dependent	ADJ
cana-4995	9	26	poisson	poisson	NOUN
cana-4995	9	27	distributed	distribute	VERB
cana-4995	9	28	variables	variable	NOUN
cana-4995	9	29	.	.	PUNCT
cana-4995	10	1	the	the	DET
cana-4995	10	2	research	research	NOUN
cana-4995	10	3	will	will	AUX
cana-4995	10	4	use	use	VERB
cana-4995	10	5	bootstrap	bootstrap	NOUN
cana-4995	10	6	method	method	NOUN
cana-4995	10	7	to	to	PART
cana-4995	10	8	estimate	estimate	VERB
cana-4995	10	9	parameters	parameter	NOUN
cana-4995	10	10	across	across	ADP
cana-4995	10	11	some	some	DET
cana-4995	10	12	factors	factor	NOUN
cana-4995	10	13	which	which	PRON
cana-4995	10	14	are	be	AUX
cana-4995	10	15	levels	level	NOUN
cana-4995	10	16	of	of	ADP
cana-4995	10	17	collinearity	collinearity	NOUN
cana-4995	10	18	,	,	PUNCT
cana-4995	10	19	sample	sample	NOUN
cana-4995	10	20	sizes	size	NOUN
cana-4995	10	21	,	,	PUNCT
cana-4995	10	22	and	and	CCONJ
cana-4995	10	23	correlation	correlation	NOUN
cana-4995	10	24	structures	structure	NOUN
cana-4995	10	25	.	.	PUNCT
cana-4995	11	1	simulation	simulation	NOUN
cana-4995	11	2	study	study	NOUN
cana-4995	11	3	showed	show	VERB
cana-4995	11	4	that	that	SCONJ
cana-4995	11	5	bootstrap	bootstrap	NOUN
cana-4995	11	6	estimators	estimator	NOUN
cana-4995	11	7	have	have	VERB
cana-4995	11	8	lower	low	ADJ
cana-4995	11	9	standard	standard	ADJ
cana-4995	11	10	errors	error	NOUN
cana-4995	11	11	than	than	ADP
cana-4995	11	12	traditional	traditional	ADJ
cana-4995	11	13	maximum	maximum	ADJ
cana-4995	11	14	likelihood	likelihood	NOUN
cana-4995	11	15	(	(	PUNCT
cana-4995	11	16	ml	ml	NOUN
cana-4995	11	17	)	)	PUNCT
cana-4995	11	18	estimators	estimator	NOUN
cana-4995	11	19	in	in	ADP
cana-4995	11	20	all	all	DET
cana-4995	11	21	degrees	degree	NOUN
cana-4995	11	22	of	of	ADP
cana-4995	11	23	collinearity	collinearity	NOUN
cana-4995	11	24	(	(	PUNCT
cana-4995	11	25	ρ	ρ	PROPN
cana-4995	11	26	=	=	SYM
cana-4995	11	27	0.75	0.75	NUM
cana-4995	11	28	,	,	PUNCT
cana-4995	11	29	0.85	0.85	NUM
cana-4995	11	30	,	,	PUNCT
cana-4995	11	31	0.95	0.95	NUM
cana-4995	11	32	,	,	PUNCT
cana-4995	11	33	0.99	0.99	NUM
cana-4995	11	34	)	)	PUNCT
cana-4995	11	35	and	and	CCONJ
cana-4995	11	36	for	for	ADP
cana-4995	11	37	all	all	DET
cana-4995	11	38	sample	sample	NOUN
cana-4995	11	39	sizes	size	NOUN
cana-4995	11	40	(	(	PUNCT
cana-4995	11	41	n	n	NOUN
cana-4995	11	42	=	=	SYM
cana-4995	11	43	25	25	NUM
cana-4995	11	44	,	,	PUNCT
cana-4995	11	45	50	50	NUM
cana-4995	11	46	,	,	PUNCT
cana-4995	11	47	100	100	NUM
cana-4995	11	48	,	,	PUNCT
cana-4995	11	49	150	150	NUM
cana-4995	11	50	,	,	PUNCT
cana-4995	11	51	200	200	NUM
cana-4995	11	52	)	)	PUNCT
cana-4995	11	53	.	.	PUNCT
cana-4995	12	1	keywords	keyword	NOUN
cana-4995	12	2	:	:	PUNCT
cana-4995	12	3	poisson	poisson	PROPN
cana-4995	12	4	regression	regression	NOUN
cana-4995	12	5	,	,	PUNCT
cana-4995	12	6	seemingly	seemingly	ADV
cana-4995	12	7	unrelated	unrelated	ADJ
cana-4995	12	8	poisson	poisson	NOUN
cana-4995	12	9	regression	regression	NOUN
cana-4995	12	10	,	,	PUNCT
cana-4995	12	11	multicollinearity	multicollinearity	NOUN
cana-4995	12	12	,	,	PUNCT
cana-4995	12	13	bootstrap	bootstrap	NOUN
cana-4995	12	14	,	,	PUNCT
cana-4995	12	15	simulation	simulation	NOUN
cana-4995	12	16	study	study	NOUN
cana-4995	12	17	.	.	PUNCT
cana-4995	13	1	1	1	X
cana-4995	13	2	.	.	X
cana-4995	13	3	introduction	introduction	NOUN
cana-4995	13	4	the	the	DET
cana-4995	13	5	most	most	ADV
cana-4995	13	6	famous	famous	ADJ
cana-4995	13	7	statistical	statistical	ADJ
cana-4995	13	8	technique	technique	NOUN
cana-4995	13	9	which	which	PRON
cana-4995	13	10	applied	apply	VERB
cana-4995	13	11	in	in	ADP
cana-4995	13	12	many	many	ADJ
cana-4995	13	13	fields	field	NOUN
cana-4995	13	14	is	be	AUX
cana-4995	13	15	the	the	DET
cana-4995	13	16	linear	linear	ADJ
cana-4995	13	17	regression	regression	NOUN
cana-4995	13	18	analysis	analysis	NOUN
cana-4995	13	19	.	.	PUNCT
cana-4995	14	1	linear	linear	ADJ
cana-4995	14	2	regression	regression	NOUN
cana-4995	14	3	is	be	AUX
cana-4995	14	4	useful	useful	ADJ
cana-4995	14	5	for	for	ADP
cana-4995	14	6	modeling	model	VERB
cana-4995	14	7	the	the	DET
cana-4995	14	8	relationship	relationship	NOUN
cana-4995	14	9	between	between	ADP
cana-4995	14	10	a	a	DET
cana-4995	14	11	continuous	continuous	ADJ
cana-4995	14	12	dependent	dependent	ADJ
cana-4995	14	13	variable	variable	NOUN
cana-4995	14	14	and	and	CCONJ
cana-4995	14	15	one	one	NUM
cana-4995	14	16	or	or	CCONJ
cana-4995	14	17	more	more	ADJ
cana-4995	14	18	explanatory	explanatory	ADJ
cana-4995	14	19	variables	variable	NOUN
cana-4995	14	20	.	.	PUNCT
cana-4995	15	1	however	however	ADV
cana-4995	15	2	,	,	PUNCT
cana-4995	15	3	in	in	ADP
cana-4995	15	4	many	many	ADJ
cana-4995	15	5	real	real	ADJ
cana-4995	15	6	applied	apply	VERB
cana-4995	15	7	fields	field	NOUN
cana-4995	15	8	,	,	PUNCT
cana-4995	15	9	the	the	DET
cana-4995	15	10	data	datum	NOUN
cana-4995	15	11	the	the	DET
cana-4995	15	12	dependent	dependent	ADJ
cana-4995	15	13	variable	variable	NOUN
cana-4995	15	14	is	be	AUX
cana-4995	15	15	not	not	PART
cana-4995	15	16	continuous	continuous	ADJ
cana-4995	15	17	.	.	PUNCT
cana-4995	16	1	the	the	DET
cana-4995	16	2	dependent	dependent	ADJ
cana-4995	16	3	variable	variable	NOUN
cana-4995	16	4	may	may	AUX
cana-4995	16	5	consist	consist	VERB
cana-4995	16	6	of	of	ADP
cana-4995	16	7	count	count	NOUN
cana-4995	16	8	data	datum	NOUN
cana-4995	16	9	(	(	PUNCT
cana-4995	16	10	0	0	NUM
cana-4995	16	11	,	,	PUNCT
cana-4995	16	12	1	1	NUM
cana-4995	16	13	,	,	PUNCT
cana-4995	16	14	2	2	NUM
cana-4995	16	15	,	,	PUNCT
cana-4995	16	16	...	...	PUNCT
cana-4995	16	17	)	)	PUNCT
cana-4995	16	18	,	,	PUNCT
cana-4995	16	19	such	such	ADJ
cana-4995	16	20	as	as	ADP
cana-4995	16	21	the	the	DET
cana-4995	16	22	number	number	NOUN
cana-4995	16	23	of	of	ADP
cana-4995	16	24	correct	correct	ADJ
cana-4995	16	25	answers	answer	NOUN
cana-4995	16	26	in	in	ADP
cana-4995	16	27	a	a	DET
cana-4995	16	28	test	test	NOUN
cana-4995	16	29	,	,	PUNCT
cana-4995	16	30	the	the	DET
cana-4995	16	31	number	number	NOUN
cana-4995	16	32	of	of	ADP
cana-4995	16	33	demanded	demand	VERB
cana-4995	16	34	/	/	SYM
cana-4995	16	35	supplied	supply	VERB
cana-4995	16	36	units	unit	NOUN
cana-4995	16	37	of	of	ADP
cana-4995	16	38	a	a	DET
cana-4995	16	39	product	product	NOUN
cana-4995	16	40	,	,	PUNCT
cana-4995	16	41	or	or	CCONJ
cana-4995	16	42	the	the	DET
cana-4995	16	43	number	number	NOUN
cana-4995	16	44	of	of	ADP
cana-4995	16	45	cases	case	NOUN
cana-4995	16	46	of	of	ADP
cana-4995	16	47	a	a	DET
cana-4995	16	48	disease	disease	NOUN
cana-4995	16	49	like	like	ADP
cana-4995	16	50	covid-19	covid-19	PROPN
cana-4995	16	51	.	.	PUNCT
cana-4995	17	1	these	these	DET
cana-4995	17	2	non	non	ADJ
cana-4995	17	3	-	-	ADJ
cana-4995	17	4	negative	negative	ADJ
cana-4995	17	5	integer	integer	NOUN
cana-4995	17	6	outcomes	outcome	NOUN
cana-4995	17	7	are	be	AUX
cana-4995	17	8	not	not	PART
cana-4995	17	9	suitable	suitable	ADJ
cana-4995	17	10	to	to	PART
cana-4995	17	11	be	be	AUX
cana-4995	17	12	modeled	model	VERB
cana-4995	17	13	with	with	ADP
cana-4995	17	14	linear	linear	PROPN
cana-4995	17	15	regression	regression	NOUN
cana-4995	17	16	.	.	PUNCT
cana-4995	18	1	so	so	ADV
cana-4995	18	2	,	,	PUNCT
cana-4995	18	3	the	the	DET
cana-4995	18	4	need	need	NOUN
cana-4995	18	5	of	of	ADP
cana-4995	18	6	count	count	NOUN
cana-4995	18	7	data	datum	NOUN
cana-4995	18	8	regression	regression	NOUN
cana-4995	18	9	models	model	NOUN
cana-4995	18	10	is	be	AUX
cana-4995	18	11	emerged	emerge	VERB
cana-4995	18	12	.	.	PUNCT
cana-4995	19	1	the	the	DET
cana-4995	19	2	poisson	poisson	PROPN
cana-4995	19	3	regression	regression	NOUN
cana-4995	19	4	model	model	NOUN
cana-4995	19	5	is	be	AUX
cana-4995	19	6	one	one	NUM
cana-4995	19	7	of	of	ADP
cana-4995	19	8	more	more	ADV
cana-4995	19	9	appropriate	appropriate	ADJ
cana-4995	19	10	models	model	NOUN
cana-4995	19	11	for	for	ADP
cana-4995	19	12	the	the	DET
cana-4995	19	13	nature	nature	NOUN
cana-4995	19	14	of	of	ADP
cana-4995	19	15	count	count	ADJ
cana-4995	19	16	dependent	dependent	ADJ
cana-4995	19	17	variables	variable	NOUN
cana-4995	19	18	.	.	PUNCT
cana-4995	20	1	independence	independence	NOUN
cana-4995	20	2	of	of	ADP
cana-4995	20	3	explanatory	explanatory	ADJ
cana-4995	20	4	variables	variable	NOUN
cana-4995	20	5	is	be	AUX
cana-4995	20	6	an	an	DET
cana-4995	20	7	assumption	assumption	NOUN
cana-4995	20	8	in	in	ADP
cana-4995	20	9	multiple	multiple	ADJ
cana-4995	20	10	regression	regression	NOUN
cana-4995	20	11	model	model	NOUN
cana-4995	20	12	.	.	PUNCT
cana-4995	21	1	multicollinearity	multicollinearity	NOUN
cana-4995	21	2	problem	problem	NOUN
cana-4995	21	3	is	be	AUX
cana-4995	21	4	a	a	DET
cana-4995	21	5	common	common	ADJ
cana-4995	21	6	empirical	empirical	ADJ
cana-4995	21	7	phenomenon	phenomenon	NOUN
cana-4995	21	8	which	which	PRON
cana-4995	21	9	exist	exist	VERB
cana-4995	21	10	when	when	SCONJ
cana-4995	21	11	this	this	DET
cana-4995	21	12	assumption	assumption	NOUN
cana-4995	21	13	is	be	AUX
cana-4995	21	14	not	not	PART
cana-4995	21	15	met	meet	VERB
cana-4995	21	16	.	.	PUNCT
cana-4995	22	1	multicollinearity	multicollinearity	NOUN
cana-4995	22	2	concept	concept	NOUN
cana-4995	22	3	was	be	AUX
cana-4995	22	4	firstly	firstly	ADV
cana-4995	22	5	used	use	VERB
cana-4995	22	6	by	by	ADP
cana-4995	22	7	frisch	frisch	PROPN
cana-4995	22	8	(	(	PUNCT
cana-4995	22	9	1934	1934	NUM
cana-4995	22	10	)	)	PUNCT
cana-4995	22	11	to	to	PART
cana-4995	22	12	describe	describe	VERB
cana-4995	22	13	a	a	DET
cana-4995	22	14	linearly	linearly	ADV
cana-4995	22	15	related	relate	VERB
cana-4995	22	16	explanatory	explanatory	ADJ
cana-4995	22	17	variables	variable	NOUN
cana-4995	22	18	in	in	ADP
cana-4995	22	19	a	a	DET
cana-4995	22	20	multiple	multiple	ADJ
cana-4995	22	21	regression	regression	NOUN
cana-4995	22	22	model	model	NOUN
cana-4995	22	23	.	.	PUNCT
cana-4995	23	1	multicollinearity	multicollinearity	NOUN
cana-4995	23	2	leads	lead	VERB
cana-4995	23	3	to	to	ADP
cana-4995	23	4	inflated	inflated	ADJ
cana-4995	23	5	standard	standard	ADJ
cana-4995	23	6	mailto:12422019512772@pg.cu.edu.eg	mailto:12422019512772@pg.cu.edu.eg	NOUN
cana-4995	23	7	communications	communication	NOUN
cana-4995	23	8	on	on	ADP
cana-4995	23	9	applied	apply	VERB
cana-4995	23	10	nonlinear	nonlinear	ADJ
cana-4995	23	11	analysis	analysis	NOUN
cana-4995	23	12	issn	issn	NOUN
cana-4995	23	13	:	:	PUNCT
cana-4995	23	14	1074	1074	NUM
cana-4995	23	15	-	-	PUNCT
cana-4995	23	16	133x	133x	NUM
cana-4995	23	17	vol	vol	NOUN
cana-4995	23	18	31	31	NUM
cana-4995	23	19	no	no	NOUN
cana-4995	23	20	.	.	PUNCT
cana-4995	24	1	8s	8s	PROPN
cana-4995	24	2	(	(	PUNCT
cana-4995	24	3	2024	2024	NUM
cana-4995	24	4	)	)	PUNCT
cana-4995	24	5	876	876	NUM
cana-4995	24	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4995	24	7	errors	error	NOUN
cana-4995	24	8	of	of	ADP
cana-4995	24	9	the	the	DET
cana-4995	24	10	parameter	parameter	NOUN
cana-4995	24	11	estimates	estimate	NOUN
cana-4995	24	12	.	.	PUNCT
cana-4995	25	1	this	this	DET
cana-4995	25	2	inflation	inflation	NOUN
cana-4995	25	3	makes	make	VERB
cana-4995	25	4	confidence	confidence	NOUN
cana-4995	25	5	intervals	interval	NOUN
cana-4995	25	6	wider	wide	ADJ
cana-4995	25	7	,	,	PUNCT
cana-4995	25	8	and	and	CCONJ
cana-4995	25	9	consequently	consequently	ADV
cana-4995	25	10	insignificant	insignificant	ADJ
cana-4995	25	11	regression	regression	NOUN
cana-4995	25	12	coefficients	coefficient	NOUN
cana-4995	25	13	.	.	PUNCT
cana-4995	26	1	it	it	PRON
cana-4995	26	2	generally	generally	ADV
cana-4995	26	3	increases	increase	VERB
cana-4995	26	4	the	the	DET
cana-4995	26	5	probability	probability	NOUN
cana-4995	26	6	of	of	ADP
cana-4995	26	7	type	type	NOUN
cana-4995	26	8	ii	ii	NOUN
cana-4995	26	9	error	error	NOUN
cana-4995	26	10	(	(	PUNCT
cana-4995	26	11	lavery	lavery	NOUN
cana-4995	26	12	et	et	PROPN
cana-4995	26	13	al	al	PROPN
cana-4995	26	14	.	.	PROPN
cana-4995	26	15	,	,	PUNCT
cana-4995	26	16	2019	2019	NUM
cana-4995	26	17	)	)	PUNCT
cana-4995	26	18	.	.	PUNCT
cana-4995	27	1	so	so	ADV
cana-4995	27	2	,	,	PUNCT
cana-4995	27	3	violating	violate	VERB
cana-4995	27	4	this	this	DET
cana-4995	27	5	assumption	assumption	NOUN
cana-4995	27	6	leads	lead	VERB
cana-4995	27	7	to	to	ADP
cana-4995	27	8	incorrect	incorrect	ADJ
cana-4995	27	9	statistical	statistical	ADJ
cana-4995	27	10	inference	inference	NOUN
cana-4995	27	11	and	and	CCONJ
cana-4995	27	12	misleading	misleading	ADJ
cana-4995	27	13	decisions	decision	NOUN
cana-4995	27	14	.	.	PUNCT
cana-4995	28	1	many	many	ADJ
cana-4995	28	2	methods	method	NOUN
cana-4995	28	3	were	be	AUX
cana-4995	28	4	proposed	propose	VERB
cana-4995	28	5	to	to	PART
cana-4995	28	6	combat	combat	VERB
cana-4995	28	7	the	the	DET
cana-4995	28	8	problem	problem	NOUN
cana-4995	28	9	of	of	ADP
cana-4995	28	10	multicollinearity	multicollinearity	NOUN
cana-4995	28	11	such	such	ADJ
cana-4995	28	12	as	as	ADP
cana-4995	28	13	ridge	ridge	NOUN
cana-4995	28	14	regression	regression	NOUN
cana-4995	28	15	for	for	ADP
cana-4995	28	16	the	the	DET
cana-4995	28	17	linear	linear	ADJ
cana-4995	28	18	regression	regression	NOUN
cana-4995	28	19	model	model	NOUN
cana-4995	28	20	presents	present	VERB
cana-4995	28	21	for	for	ADP
cana-4995	28	22	the	the	DET
cana-4995	28	23	first	first	ADJ
cana-4995	28	24	time	time	NOUN
cana-4995	28	25	by	by	ADP
cana-4995	28	26	hoerl	hoerl	NOUN
cana-4995	28	27	and	and	CCONJ
cana-4995	28	28	kennard	kennard	PROPN
cana-4995	28	29	(	(	PUNCT
cana-4995	28	30	19error	19error	NUM
cana-4995	28	31	!	!	PUNCT
cana-4995	29	1	reference	reference	NOUN
cana-4995	29	2	source	source	NOUN
cana-4995	29	3	not	not	PART
cana-4995	29	4	found.0	found.0	NOUN
cana-4995	29	5	)	)	PUNCT
cana-4995	29	6	or	or	CCONJ
cana-4995	29	7	using	use	VERB
cana-4995	29	8	principal	principal	ADJ
cana-4995	29	9	component	component	NOUN
cana-4995	29	10	analysis	analysis	NOUN
cana-4995	29	11	in	in	ADP
cana-4995	29	12	context	context	NOUN
cana-4995	29	13	of	of	ADP
cana-4995	29	14	the	the	DET
cana-4995	29	15	panel	panel	NOUN
cana-4995	29	16	data	data	NOUN
cana-4995	29	17	model	model	NOUN
cana-4995	29	18	(	(	PUNCT
cana-4995	29	19	youssef	youssef	PROPN
cana-4995	29	20	et	et	PROPN
cana-4995	29	21	al	al	PROPN
cana-4995	29	22	.	.	PROPN
cana-4995	29	23	,	,	PUNCT
cana-4995	29	24	2023	2023	NUM
cana-4995	29	25	)	)	PUNCT
cana-4995	29	26	.	.	PUNCT
cana-4995	30	1	in	in	ADP
cana-4995	30	2	this	this	DET
cana-4995	30	3	research	research	NOUN
cana-4995	30	4	,	,	PUNCT
cana-4995	30	5	we	we	PRON
cana-4995	30	6	tried	try	VERB
cana-4995	30	7	to	to	PART
cana-4995	30	8	handle	handle	VERB
cana-4995	30	9	this	this	DET
cana-4995	30	10	problem	problem	NOUN
cana-4995	30	11	and	and	CCONJ
cana-4995	30	12	overcome	overcome	VERB
cana-4995	30	13	the	the	DET
cana-4995	30	14	bad	bad	ADJ
cana-4995	30	15	effects	effect	NOUN
cana-4995	30	16	of	of	ADP
cana-4995	30	17	the	the	DET
cana-4995	30	18	multicollinearity	multicollinearity	NOUN
cana-4995	30	19	problem	problem	NOUN
cana-4995	30	20	,	,	PUNCT
cana-4995	30	21	by	by	ADP
cana-4995	30	22	presenting	present	VERB
cana-4995	30	23	a	a	DET
cana-4995	30	24	proposed	propose	VERB
cana-4995	30	25	solution	solution	NOUN
cana-4995	30	26	using	use	VERB
cana-4995	30	27	a	a	DET
cana-4995	30	28	resampling	resample	VERB
cana-4995	30	29	technique	technique	NOUN
cana-4995	30	30	which	which	PRON
cana-4995	30	31	is	be	AUX
cana-4995	30	32	the	the	DET
cana-4995	30	33	bootstrap	bootstrap	NOUN
cana-4995	30	34	method	method	NOUN
cana-4995	30	35	invented	invent	VERB
cana-4995	30	36	by	by	ADP
cana-4995	30	37	efron	efron	PROPN
cana-4995	30	38	(	(	PUNCT
cana-4995	30	39	1979	1979	NUM
cana-4995	30	40	)	)	PUNCT
cana-4995	30	41	and	and	CCONJ
cana-4995	30	42	developed	develop	VERB
cana-4995	30	43	by	by	ADP
cana-4995	30	44	efron	efron	PROPN
cana-4995	30	45	and	and	CCONJ
cana-4995	30	46	tibshirani	tibshirani	PROPN
cana-4995	30	47	(	(	PUNCT
cana-4995	30	48	1993	1993	NUM
cana-4995	30	49	)	)	PUNCT
cana-4995	30	50	.	.	PUNCT
cana-4995	31	1	for	for	ADP
cana-4995	31	2	estimating	estimate	VERB
cana-4995	31	3	parameters	parameter	NOUN
cana-4995	31	4	of	of	ADP
cana-4995	31	5	poisson	poisson	PROPN
cana-4995	31	6	regression	regression	NOUN
cana-4995	31	7	model	model	NOUN
cana-4995	31	8	under	under	ADP
cana-4995	31	9	multicollinearity	multicollinearity	NOUN
cana-4995	31	10	side	side	NOUN
cana-4995	31	11	by	by	ADP
cana-4995	31	12	side	side	NOUN
cana-4995	31	13	with	with	ADP
cana-4995	31	14	maximum	maximum	ADJ
cana-4995	31	15	likelihood	likelihood	NOUN
cana-4995	31	16	(	(	PUNCT
cana-4995	31	17	ml	ml	NOUN
cana-4995	31	18	)	)	PUNCT
cana-4995	31	19	estimation	estimation	NOUN
cana-4995	31	20	.	.	PUNCT
cana-4995	32	1	the	the	DET
cana-4995	32	2	use	use	NOUN
cana-4995	32	3	of	of	ADP
cana-4995	32	4	bootstrap	bootstrap	NOUN
cana-4995	32	5	method	method	NOUN
cana-4995	32	6	aims	aim	VERB
cana-4995	32	7	to	to	PART
cana-4995	32	8	enhance	enhance	VERB
cana-4995	32	9	the	the	DET
cana-4995	32	10	precision	precision	NOUN
cana-4995	32	11	of	of	ADP
cana-4995	32	12	statistical	statistical	ADJ
cana-4995	32	13	inference	inference	NOUN
cana-4995	32	14	in	in	ADP
cana-4995	32	15	the	the	DET
cana-4995	32	16	existence	existence	NOUN
cana-4995	32	17	of	of	ADP
cana-4995	32	18	multicollinearity	multicollinearity	NOUN
cana-4995	32	19	problem	problem	NOUN
cana-4995	32	20	in	in	ADP
cana-4995	32	21	poisson	poisson	PROPN
cana-4995	32	22	regression	regression	NOUN
cana-4995	32	23	model	model	NOUN
cana-4995	32	24	.	.	PUNCT
cana-4995	33	1	the	the	DET
cana-4995	33	2	bootstrap	bootstrap	NOUN
cana-4995	33	3	method	method	NOUN
cana-4995	33	4	’s	’s	PART
cana-4995	33	5	performance	performance	NOUN
cana-4995	33	6	will	will	AUX
cana-4995	33	7	be	be	AUX
cana-4995	33	8	evaluated	evaluate	VERB
cana-4995	33	9	through	through	ADP
cana-4995	33	10	the	the	DET
cana-4995	33	11	simulation	simulation	NOUN
cana-4995	33	12	.	.	PUNCT
cana-4995	34	1	also	also	ADV
cana-4995	34	2	,	,	PUNCT
cana-4995	34	3	the	the	DET
cana-4995	34	4	simulation	simulation	NOUN
cana-4995	34	5	will	will	AUX
cana-4995	34	6	compare	compare	VERB
cana-4995	34	7	the	the	DET
cana-4995	34	8	estimates	estimate	NOUN
cana-4995	34	9	performance	performance	NOUN
cana-4995	34	10	of	of	ADP
cana-4995	34	11	both	both	DET
cana-4995	34	12	bootstrap	bootstrap	NOUN
cana-4995	34	13	method	method	NOUN
cana-4995	34	14	and	and	CCONJ
cana-4995	34	15	maximum	maximum	ADJ
cana-4995	34	16	likelihood	likelihood	NOUN
cana-4995	34	17	alone	alone	ADV
cana-4995	34	18	.	.	PUNCT
cana-4995	35	1	the	the	DET
cana-4995	35	2	structure	structure	NOUN
cana-4995	35	3	of	of	ADP
cana-4995	35	4	this	this	DET
cana-4995	35	5	paper	paper	NOUN
cana-4995	35	6	contains	contain	VERB
cana-4995	35	7	six	six	NUM
cana-4995	35	8	sections	section	NOUN
cana-4995	35	9	,	,	PUNCT
cana-4995	35	10	it	it	PRON
cana-4995	35	11	is	be	AUX
cana-4995	35	12	organized	organize	VERB
cana-4995	35	13	as	as	SCONJ
cana-4995	35	14	follows	follow	VERB
cana-4995	35	15	.	.	PUNCT
cana-4995	36	1	research	research	NOUN
cana-4995	36	2	methodology	methodology	NOUN
cana-4995	36	3	will	will	AUX
cana-4995	36	4	be	be	AUX
cana-4995	36	5	presented	present	VERB
cana-4995	36	6	in	in	ADP
cana-4995	36	7	section	section	NOUN
cana-4995	36	8	2	2	NUM
cana-4995	36	9	,	,	PUNCT
cana-4995	36	10	it	it	PRON
cana-4995	36	11	contains	contain	VERB
cana-4995	36	12	of	of	ADP
cana-4995	36	13	research	research	NOUN
cana-4995	36	14	problem	problem	NOUN
cana-4995	36	15	and	and	CCONJ
cana-4995	36	16	question	question	NOUN
cana-4995	36	17	,	,	PUNCT
cana-4995	36	18	objective	objective	NOUN
cana-4995	36	19	of	of	ADP
cana-4995	36	20	research	research	NOUN
cana-4995	36	21	,	,	PUNCT
cana-4995	36	22	and	and	CCONJ
cana-4995	36	23	the	the	DET
cana-4995	36	24	importance	importance	NOUN
cana-4995	36	25	of	of	ADP
cana-4995	36	26	research	research	NOUN
cana-4995	36	27	.	.	PUNCT
cana-4995	37	1	in	in	ADP
cana-4995	37	2	section	section	NOUN
cana-4995	37	3	3	3	NUM
cana-4995	37	4	,	,	PUNCT
cana-4995	37	5	the	the	DET
cana-4995	37	6	poisson	poisson	PROPN
cana-4995	37	7	regression	regression	NOUN
cana-4995	37	8	model	model	NOUN
cana-4995	37	9	will	will	AUX
cana-4995	37	10	be	be	AUX
cana-4995	37	11	presented	present	VERB
cana-4995	37	12	as	as	ADP
cana-4995	37	13	a	a	DET
cana-4995	37	14	popular	popular	ADJ
cana-4995	37	15	count	count	NOUN
cana-4995	37	16	regression	regression	NOUN
cana-4995	37	17	model	model	NOUN
cana-4995	37	18	.	.	PUNCT
cana-4995	38	1	bootstrap	bootstrap	NOUN
cana-4995	38	2	method	method	NOUN
cana-4995	38	3	as	as	ADP
cana-4995	38	4	a	a	DET
cana-4995	38	5	suggested	suggest	VERB
cana-4995	38	6	solution	solution	NOUN
cana-4995	38	7	will	will	AUX
cana-4995	38	8	be	be	AUX
cana-4995	38	9	illustrated	illustrate	VERB
cana-4995	38	10	in	in	ADP
cana-4995	38	11	section	section	NOUN
cana-4995	38	12	4	4	NUM
cana-4995	38	13	.	.	PUNCT
cana-4995	39	1	a	a	DET
cana-4995	39	2	monte	monte	PROPN
cana-4995	39	3	carlo	carlo	PROPN
cana-4995	39	4	simulation	simulation	PROPN
cana-4995	39	5	will	will	AUX
cana-4995	39	6	be	be	AUX
cana-4995	39	7	presented	present	VERB
cana-4995	39	8	in	in	ADP
cana-4995	39	9	section	section	NOUN
cana-4995	39	10	5	5	NUM
cana-4995	39	11	.	.	PUNCT
cana-4995	40	1	at	at	ADP
cana-4995	40	2	last	last	ADJ
cana-4995	40	3	,	,	PUNCT
cana-4995	40	4	simulation	simulation	NOUN
cana-4995	40	5	results	result	NOUN
cana-4995	40	6	and	and	CCONJ
cana-4995	40	7	concluded	conclude	VERB
cana-4995	40	8	remarks	remark	NOUN
cana-4995	40	9	will	will	AUX
cana-4995	40	10	be	be	AUX
cana-4995	40	11	presented	present	VERB
cana-4995	40	12	in	in	ADP
cana-4995	40	13	section	section	NOUN
cana-4995	40	14	6	6	NUM
cana-4995	40	15	.	.	NOUN
cana-4995	40	16	2	2	NUM
cana-4995	40	17	.	.	X
cana-4995	40	18	research	research	NOUN
cana-4995	40	19	methodology	methodology	NOUN
cana-4995	40	20	research	research	NOUN
cana-4995	40	21	methodology	methodology	NOUN
cana-4995	40	22	contains	contain	VERB
cana-4995	40	23	of	of	ADP
cana-4995	40	24	the	the	DET
cana-4995	40	25	problem	problem	NOUN
cana-4995	40	26	,	,	PUNCT
cana-4995	40	27	objective	objective	NOUN
cana-4995	40	28	,	,	PUNCT
cana-4995	40	29	and	and	CCONJ
cana-4995	40	30	importance	importance	NOUN
cana-4995	40	31	of	of	ADP
cana-4995	40	32	research	research	NOUN
cana-4995	40	33	.	.	PUNCT
cana-4995	41	1	2.1	2.1	NUM
cana-4995	41	2	research	research	NOUN
cana-4995	41	3	problem	problem	NOUN
cana-4995	41	4	in	in	ADP
cana-4995	41	5	practice	practice	NOUN
cana-4995	41	6	,	,	PUNCT
cana-4995	41	7	the	the	DET
cana-4995	41	8	researchers	researcher	NOUN
cana-4995	41	9	which	which	PRON
cana-4995	41	10	use	use	VERB
cana-4995	41	11	the	the	DET
cana-4995	41	12	poisson	poisson	NOUN
cana-4995	41	13	regression	regression	NOUN
cana-4995	41	14	models	model	NOUN
cana-4995	41	15	are	be	AUX
cana-4995	41	16	faced	face	VERB
cana-4995	41	17	by	by	ADP
cana-4995	41	18	ill	ill	ADV
cana-4995	41	19	-	-	PUNCT
cana-4995	41	20	conditioned	condition	VERB
cana-4995	41	21	data	datum	NOUN
cana-4995	41	22	with	with	ADP
cana-4995	41	23	multicollinear	multicollinear	ADJ
cana-4995	41	24	design	design	NOUN
cana-4995	41	25	matrix	matrix	NOUN
cana-4995	41	26	.	.	PUNCT
cana-4995	42	1	lack	lack	NOUN
cana-4995	42	2	of	of	ADP
cana-4995	42	3	independence	independence	NOUN
cana-4995	42	4	assumption	assumption	NOUN
cana-4995	42	5	with	with	ADP
cana-4995	42	6	varying	vary	VERB
cana-4995	42	7	degrees	degree	NOUN
cana-4995	42	8	of	of	ADP
cana-4995	42	9	multicollinearity	multicollinearity	NOUN
cana-4995	42	10	in	in	ADP
cana-4995	42	11	the	the	DET
cana-4995	42	12	explanatory	explanatory	ADJ
cana-4995	42	13	variables	variable	NOUN
cana-4995	42	14	leads	lead	VERB
cana-4995	42	15	to	to	ADP
cana-4995	42	16	misleading	mislead	VERB
cana-4995	42	17	results	result	NOUN
cana-4995	42	18	.	.	PUNCT
cana-4995	43	1	the	the	DET
cana-4995	43	2	inaccurate	inaccurate	ADJ
cana-4995	43	3	statistical	statistical	ADJ
cana-4995	43	4	conclusions	conclusion	NOUN
cana-4995	43	5	were	be	AUX
cana-4995	43	6	due	due	ADJ
cana-4995	43	7	to	to	ADP
cana-4995	43	8	the	the	DET
cana-4995	43	9	inflated	inflated	ADJ
cana-4995	43	10	standard	standard	ADJ
cana-4995	43	11	errors	error	NOUN
cana-4995	43	12	of	of	ADP
cana-4995	43	13	the	the	DET
cana-4995	43	14	regression	regression	NOUN
cana-4995	43	15	coefficients	coefficient	NOUN
cana-4995	43	16	and	and	CCONJ
cana-4995	43	17	so	so	ADV
cana-4995	43	18	destabilizing	destabilizing	ADJ
cana-4995	43	19	of	of	ADP
cana-4995	43	20	maximum	maximum	ADJ
cana-4995	43	21	likelihood	likelihood	NOUN
cana-4995	43	22	estimators	estimator	NOUN
cana-4995	43	23	(	(	PUNCT
cana-4995	43	24	mle	mle	PROPN
cana-4995	43	25	)	)	PUNCT
cana-4995	43	26	.	.	PUNCT
cana-4995	44	1	generally	generally	ADV
cana-4995	44	2	,	,	PUNCT
cana-4995	44	3	multicollinearity	multicollinearity	NOUN
cana-4995	44	4	results	result	VERB
cana-4995	44	5	inability	inability	NOUN
cana-4995	44	6	to	to	PART
cana-4995	44	7	conduct	conduct	VERB
cana-4995	44	8	accurate	accurate	ADJ
cana-4995	44	9	statistical	statistical	ADJ
cana-4995	44	10	inference	inference	NOUN
cana-4995	44	11	for	for	ADP
cana-4995	44	12	the	the	DET
cana-4995	44	13	parameters	parameter	NOUN
cana-4995	44	14	of	of	ADP
cana-4995	44	15	poisson	poisson	PROPN
cana-4995	44	16	regression	regression	PROPN
cana-4995	44	17	model	model	NOUN
cana-4995	44	18	.	.	PUNCT
cana-4995	45	1	the	the	DET
cana-4995	45	2	research	research	NOUN
cana-4995	45	3	problem	problem	NOUN
cana-4995	45	4	can	can	AUX
cana-4995	45	5	be	be	AUX
cana-4995	45	6	formulated	formulate	VERB
cana-4995	45	7	through	through	ADP
cana-4995	45	8	the	the	DET
cana-4995	45	9	following	follow	VERB
cana-4995	45	10	research	research	NOUN
cana-4995	45	11	question	question	NOUN
cana-4995	45	12	:	:	PUNCT
cana-4995	45	13	is	be	AUX
cana-4995	45	14	bootstrap	bootstrap	VERB
cana-4995	45	15	an	an	DET
cana-4995	45	16	appropriate	appropriate	ADJ
cana-4995	45	17	solution	solution	NOUN
cana-4995	45	18	for	for	ADP
cana-4995	45	19	handling	handle	VERB
cana-4995	45	20	the	the	DET
cana-4995	45	21	problem	problem	NOUN
cana-4995	45	22	of	of	ADP
cana-4995	45	23	multicollinearity	multicollinearity	NOUN
cana-4995	45	24	,	,	PUNCT
cana-4995	45	25	and	and	CCONJ
cana-4995	45	26	in	in	ADP
cana-4995	45	27	what	what	DET
cana-4995	45	28	cases	case	NOUN
cana-4995	45	29	is	be	AUX
cana-4995	45	30	it	it	PRON
cana-4995	45	31	preferable	preferable	ADJ
cana-4995	45	32	to	to	PART
cana-4995	45	33	use	use	VERB
cana-4995	45	34	the	the	DET
cana-4995	45	35	bootstrap	bootstrap	NOUN
cana-4995	45	36	method	method	NOUN
cana-4995	45	37	?	?	PUNCT
cana-4995	46	1	2.2	2.2	NUM
cana-4995	46	2	research	research	NOUN
cana-4995	46	3	objective	objective	NOUN
cana-4995	46	4	despite	despite	SCONJ
cana-4995	46	5	the	the	DET
cana-4995	46	6	many	many	ADJ
cana-4995	46	7	studies	study	NOUN
cana-4995	46	8	have	have	AUX
cana-4995	46	9	tried	try	VERB
cana-4995	46	10	to	to	PART
cana-4995	46	11	deal	deal	VERB
cana-4995	46	12	with	with	ADP
cana-4995	46	13	multicollinearity	multicollinearity	NOUN
cana-4995	46	14	in	in	ADP
cana-4995	46	15	the	the	DET
cana-4995	46	16	single	single	ADJ
cana-4995	46	17	linear	linear	PROPN
cana-4995	46	18	regression	regression	NOUN
cana-4995	46	19	equation	equation	NOUN
cana-4995	46	20	model	model	NOUN
cana-4995	46	21	such	such	ADJ
cana-4995	46	22	as	as	ADP
cana-4995	46	23	ridge	ridge	NOUN
cana-4995	46	24	regression	regression	NOUN
cana-4995	46	25	invented	invent	VERB
cana-4995	46	26	by	by	ADP
cana-4995	46	27	hoerl	hoerl	NOUN
cana-4995	46	28	and	and	CCONJ
cana-4995	46	29	kinnard	kinnard	PROPN
cana-4995	46	30	(	(	PUNCT
cana-4995	46	31	1970	1970	NUM
cana-4995	46	32	)	)	PUNCT
cana-4995	46	33	,	,	PUNCT
cana-4995	46	34	this	this	DET
cana-4995	46	35	research	research	NOUN
cana-4995	46	36	aims	aim	VERB
cana-4995	46	37	to	to	PART
cana-4995	46	38	address	address	VERB
cana-4995	46	39	the	the	DET
cana-4995	46	40	problem	problem	NOUN
cana-4995	46	41	of	of	ADP
cana-4995	46	42	multicollinearity	multicollinearity	NOUN
cana-4995	46	43	using	use	VERB
cana-4995	46	44	the	the	DET
cana-4995	46	45	bootstrap	bootstrap	NOUN
cana-4995	46	46	method	method	NOUN
cana-4995	46	47	in	in	ADP
cana-4995	46	48	the	the	DET
cana-4995	46	49	poisson	poisson	NOUN
cana-4995	46	50	regression	regression	NOUN
cana-4995	46	51	equation	equation	NOUN
cana-4995	46	52	.	.	PUNCT
cana-4995	47	1	the	the	DET
cana-4995	47	2	main	main	ADJ
cana-4995	47	3	concern	concern	NOUN
cana-4995	47	4	of	of	ADP
cana-4995	47	5	the	the	DET
cana-4995	47	6	research	research	NOUN
cana-4995	47	7	is	be	AUX
cana-4995	47	8	to	to	PART
cana-4995	47	9	estimate	estimate	VERB
cana-4995	47	10	the	the	DET
cana-4995	47	11	parameters	parameter	NOUN
cana-4995	47	12	of	of	ADP
cana-4995	47	13	poisson	poisson	PROPN
cana-4995	47	14	regression	regression	NOUN
cana-4995	47	15	communications	communication	NOUN
cana-4995	47	16	on	on	ADP
cana-4995	47	17	applied	apply	VERB
cana-4995	47	18	nonlinear	nonlinear	ADJ
cana-4995	47	19	analysis	analysis	NOUN
cana-4995	47	20	issn	issn	NOUN
cana-4995	47	21	:	:	PUNCT
cana-4995	47	22	1074	1074	NUM
cana-4995	47	23	-	-	PUNCT
cana-4995	47	24	133x	133x	NUM
cana-4995	47	25	vol	vol	NOUN
cana-4995	47	26	31	31	NUM
cana-4995	47	27	no	no	NOUN
cana-4995	47	28	.	.	PUNCT
cana-4995	48	1	8s	8s	PROPN
cana-4995	48	2	(	(	PUNCT
cana-4995	48	3	2024	2024	NUM
cana-4995	48	4	)	)	PUNCT
cana-4995	48	5	877	877	NUM
cana-4995	48	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4995	48	7	model	model	NOUN
cana-4995	48	8	under	under	ADP
cana-4995	48	9	varying	vary	VERB
cana-4995	48	10	degrees	degree	NOUN
cana-4995	48	11	of	of	ADP
cana-4995	48	12	multicollinearity	multicollinearity	NOUN
cana-4995	48	13	and	and	CCONJ
cana-4995	48	14	sample	sample	NOUN
cana-4995	48	15	sizes	size	NOUN
cana-4995	48	16	.	.	PUNCT
cana-4995	49	1	the	the	DET
cana-4995	49	2	simulation	simulation	NOUN
cana-4995	49	3	study	study	NOUN
cana-4995	49	4	uses	use	VERB
cana-4995	49	5	criterion	criterion	NOUN
cana-4995	49	6	of	of	ADP
cana-4995	49	7	the	the	DET
cana-4995	49	8	lowest	low	ADJ
cana-4995	49	9	standard	standard	ADJ
cana-4995	49	10	error	error	NOUN
cana-4995	49	11	to	to	PART
cana-4995	49	12	determine	determine	VERB
cana-4995	49	13	which	which	DET
cana-4995	49	14	cases	case	NOUN
cana-4995	49	15	is	be	AUX
cana-4995	49	16	it	it	PRON
cana-4995	49	17	optimal	optimal	ADJ
cana-4995	49	18	to	to	PART
cana-4995	49	19	use	use	VERB
cana-4995	49	20	of	of	ADP
cana-4995	49	21	bootstrap	bootstrap	NOUN
cana-4995	49	22	method	method	NOUN
cana-4995	49	23	.	.	PUNCT
cana-4995	50	1	2.3	2.3	NUM
cana-4995	50	2	research	research	NOUN
cana-4995	50	3	importance	importance	NOUN
cana-4995	50	4	many	many	ADJ
cana-4995	50	5	academic	academic	ADJ
cana-4995	50	6	and	and	CCONJ
cana-4995	50	7	applied	apply	VERB
cana-4995	50	8	fields	field	NOUN
cana-4995	50	9	concern	concern	NOUN
cana-4995	50	10	with	with	ADP
cana-4995	50	11	the	the	DET
cana-4995	50	12	issue	issue	NOUN
cana-4995	50	13	of	of	ADP
cana-4995	50	14	multicollinearity	multicollinearity	NOUN
cana-4995	50	15	because	because	SCONJ
cana-4995	50	16	ignoring	ignore	VERB
cana-4995	50	17	it	it	PRON
cana-4995	50	18	or	or	CCONJ
cana-4995	50	19	not	not	PART
cana-4995	50	20	addressing	address	VERB
cana-4995	50	21	it	it	PRON
cana-4995	50	22	effectively	effectively	ADV
cana-4995	50	23	leads	lead	VERB
cana-4995	50	24	to	to	ADP
cana-4995	50	25	misleading	mislead	VERB
cana-4995	50	26	results	result	NOUN
cana-4995	50	27	.	.	PUNCT
cana-4995	51	1	therefore	therefore	ADV
cana-4995	51	2	,	,	PUNCT
cana-4995	51	3	it	it	PRON
cana-4995	51	4	is	be	AUX
cana-4995	51	5	important	important	ADJ
cana-4995	51	6	to	to	PART
cana-4995	51	7	present	present	VERB
cana-4995	51	8	a	a	DET
cana-4995	51	9	proposed	propose	VERB
cana-4995	51	10	solution	solution	NOUN
cana-4995	51	11	to	to	PART
cana-4995	51	12	estimate	estimate	VERB
cana-4995	51	13	model	model	NOUN
cana-4995	51	14	parameters	parameter	NOUN
cana-4995	51	15	more	more	ADV
cana-4995	51	16	accurately	accurately	ADV
cana-4995	51	17	to	to	PART
cana-4995	51	18	increase	increase	VERB
cana-4995	51	19	the	the	DET
cana-4995	51	20	predictive	predictive	ADJ
cana-4995	51	21	ability	ability	NOUN
cana-4995	51	22	as	as	ADV
cana-4995	51	23	well	well	ADV
cana-4995	51	24	as	as	ADP
cana-4995	51	25	to	to	PART
cana-4995	51	26	test	test	VERB
cana-4995	51	27	hypotheses	hypothesis	NOUN
cana-4995	51	28	properly	properly	ADV
cana-4995	51	29	.	.	PUNCT
cana-4995	52	1	the	the	DET
cana-4995	52	2	importance	importance	NOUN
cana-4995	52	3	of	of	ADP
cana-4995	52	4	this	this	DET
cana-4995	52	5	research	research	NOUN
cana-4995	52	6	is	be	AUX
cana-4995	52	7	divided	divide	VERB
cana-4995	52	8	into	into	ADP
cana-4995	52	9	two	two	NUM
cana-4995	52	10	parts	part	NOUN
cana-4995	52	11	.	.	PUNCT
cana-4995	53	1	the	the	DET
cana-4995	53	2	first	first	ADJ
cana-4995	53	3	is	be	AUX
cana-4995	53	4	that	that	SCONJ
cana-4995	53	5	the	the	DET
cana-4995	53	6	proposed	propose	VERB
cana-4995	53	7	solution	solution	NOUN
cana-4995	53	8	which	which	PRON
cana-4995	53	9	is	be	AUX
cana-4995	53	10	bootstrap	bootstrap	NOUN
cana-4995	53	11	method	method	NOUN
cana-4995	53	12	,	,	PUNCT
cana-4995	53	13	unlike	unlike	ADP
cana-4995	53	14	ridge	ridge	NOUN
cana-4995	53	15	regression	regression	NOUN
cana-4995	53	16	method	method	NOUN
cana-4995	53	17	,	,	PUNCT
cana-4995	53	18	does	do	AUX
cana-4995	53	19	not	not	PART
cana-4995	53	20	modify	modify	VERB
cana-4995	53	21	the	the	DET
cana-4995	53	22	data	datum	NOUN
cana-4995	53	23	or	or	CCONJ
cana-4995	53	24	the	the	DET
cana-4995	53	25	design	design	NOUN
cana-4995	53	26	matrix	matrix	NOUN
cana-4995	53	27	.	.	PUNCT
cana-4995	54	1	the	the	DET
cana-4995	54	2	second	second	ADJ
cana-4995	54	3	is	be	AUX
cana-4995	54	4	applying	apply	VERB
cana-4995	54	5	the	the	DET
cana-4995	54	6	bootstrap	bootstrap	NOUN
cana-4995	54	7	method	method	NOUN
cana-4995	54	8	to	to	ADP
cana-4995	54	9	the	the	DET
cana-4995	54	10	most	most	ADV
cana-4995	54	11	well	well	ADV
cana-4995	54	12	-	-	PUNCT
cana-4995	54	13	known	know	VERB
cana-4995	54	14	count	count	NOUN
cana-4995	54	15	regression	regression	NOUN
cana-4995	54	16	method	method	NOUN
cana-4995	54	17	,	,	PUNCT
cana-4995	54	18	the	the	DET
cana-4995	54	19	poisson	poisson	NOUN
cana-4995	54	20	regression	regression	NOUN
cana-4995	54	21	.	.	PUNCT
cana-4995	55	1	3	3	X
cana-4995	55	2	.	.	X
cana-4995	55	3	poisson	poisson	PROPN
cana-4995	55	4	regression	regression	VERB
cana-4995	55	5	the	the	DET
cana-4995	55	6	poisson	poisson	PROPN
cana-4995	55	7	regression	regression	NOUN
cana-4995	55	8	model	model	NOUN
cana-4995	55	9	is	be	AUX
cana-4995	55	10	the	the	DET
cana-4995	55	11	most	most	ADV
cana-4995	55	12	popular	popular	ADJ
cana-4995	55	13	count	count	NOUN
cana-4995	55	14	regression	regression	NOUN
cana-4995	55	15	model	model	NOUN
cana-4995	55	16	when	when	SCONJ
cana-4995	55	17	the	the	DET
cana-4995	55	18	dependent	dependent	ADJ
cana-4995	55	19	or	or	CCONJ
cana-4995	55	20	response	response	NOUN
cana-4995	55	21	variable	variable	NOUN
cana-4995	55	22	follows	follow	VERB
cana-4995	55	23	a	a	DET
cana-4995	55	24	discrete	discrete	ADJ
cana-4995	55	25	probability	probability	NOUN
cana-4995	55	26	distribution	distribution	NOUN
cana-4995	55	27	with	with	ADP
cana-4995	55	28	only	only	ADV
cana-4995	55	29	one	one	NUM
cana-4995	55	30	parameter	parameter	NOUN
cana-4995	55	31	,	,	PUNCT
cana-4995	55	32	which	which	PRON
cana-4995	55	33	is	be	AUX
cana-4995	55	34	the	the	DET
cana-4995	55	35	poisson	poisson	NOUN
cana-4995	55	36	distribution	distribution	NOUN
cana-4995	55	37	with	with	ADP
cana-4995	55	38	a	a	DET
cana-4995	55	39	positive	positive	ADJ
cana-4995	55	40	parameter	parameter	NOUN
cana-4995	55	41	λ	λ	PROPN
cana-4995	55	42	,	,	PUNCT
cana-4995	55	43	with	with	ADP
cana-4995	55	44	the	the	DET
cana-4995	55	45	following	follow	VERB
cana-4995	55	46	probability	probability	NOUN
cana-4995	55	47	mass	mass	NOUN
cana-4995	55	48	function	function	NOUN
cana-4995	55	49	(	(	PUNCT
cana-4995	55	50	pmf	pmf	NOUN
cana-4995	55	51	):	):	PUNCT
cana-4995	55	52	pr(𝑌	pr(𝑌	PROPN
cana-4995	55	53	=	=	SYM
cana-4995	55	54	𝑦	𝑦	X
cana-4995	55	55	)	)	PUNCT
cana-4995	55	56	=	=	SYM
cana-4995	55	57	𝑒−𝜆	𝑒−𝜆	NOUN
cana-4995	55	58	𝜆𝑦	𝜆𝑦	PROPN
cana-4995	55	59	𝑦	𝑦	PROPN
cana-4995	55	60	!	!	PUNCT
cana-4995	55	61	;	;	PUNCT
cana-4995	55	62	𝑦	𝑦	NOUN
cana-4995	55	63	=	=	SYM
cana-4995	55	64	0	0	NUM
cana-4995	55	65	,	,	PUNCT
cana-4995	55	66	1	1	NUM
cana-4995	55	67	,	,	PUNCT
cana-4995	55	68	…	…	PUNCT
cana-4995	55	69	;	;	PUNCT
cana-4995	55	70	𝜆	𝜆	X
cana-4995	55	71	>	>	X
cana-4995	55	72	0	0	PUNCT
cana-4995	55	73	(	(	PUNCT
cana-4995	55	74	1	1	NUM
cana-4995	55	75	)	)	PUNCT
cana-4995	55	76	simplicity	simplicity	NOUN
cana-4995	55	77	of	of	ADP
cana-4995	55	78	poisson	poisson	NOUN
cana-4995	55	79	distribution	distribution	NOUN
cana-4995	55	80	is	be	AUX
cana-4995	55	81	one	one	NUM
cana-4995	55	82	of	of	ADP
cana-4995	55	83	the	the	DET
cana-4995	55	84	advantages	advantage	NOUN
cana-4995	55	85	which	which	PRON
cana-4995	55	86	lead	lead	VERB
cana-4995	55	87	to	to	PART
cana-4995	55	88	prefer	prefer	VERB
cana-4995	55	89	it	it	PRON
cana-4995	55	90	for	for	ADP
cana-4995	55	91	modeling	model	VERB
cana-4995	55	92	count	count	NOUN
cana-4995	55	93	data	datum	NOUN
cana-4995	55	94	.	.	PUNCT
cana-4995	56	1	it	it	PRON
cana-4995	56	2	’s	’	VERB
cana-4995	56	3	single	single	ADJ
cana-4995	56	4	parameter	parameter	NOUN
cana-4995	56	5	λ	λ	PROPN
cana-4995	56	6	represents	represent	VERB
cana-4995	56	7	both	both	CCONJ
cana-4995	56	8	the	the	DET
cana-4995	56	9	mean	mean	NOUN
cana-4995	56	10	and	and	CCONJ
cana-4995	56	11	variance	variance	NOUN
cana-4995	56	12	of	of	ADP
cana-4995	56	13	the	the	DET
cana-4995	56	14	distribution	distribution	NOUN
cana-4995	56	15	.	.	PUNCT
cana-4995	57	1	poisson	poisson	NOUN
cana-4995	57	2	distribution	distribution	NOUN
cana-4995	57	3	has	have	VERB
cana-4995	57	4	a	a	DET
cana-4995	57	5	positive	positive	ADJ
cana-4995	57	6	skewness	skewness	NOUN
cana-4995	57	7	1	1	NUM
cana-4995	57	8	√𝜆	√𝜆	NUM
cana-4995	57	9	and	and	CCONJ
cana-4995	57	10	has	have	VERB
cana-4995	57	11	a	a	DET
cana-4995	57	12	kurtosis	kurtosis	NOUN
cana-4995	57	13	of	of	ADP
cana-4995	57	14	3	3	NUM
cana-4995	57	15	+	+	SYM
cana-4995	57	16	1	1	NUM
cana-4995	57	17	𝜆	𝜆	X
cana-4995	57	18	(	(	PUNCT
cana-4995	57	19	evans	evans	PROPN
cana-4995	57	20	&	&	CCONJ
cana-4995	57	21	adenomon	adenomon	PROPN
cana-4995	57	22	,	,	PUNCT
cana-4995	57	23	2014	2014	NUM
cana-4995	57	24	)	)	PUNCT
cana-4995	57	25	.	.	PUNCT
cana-4995	58	1	another	another	DET
cana-4995	58	2	advantage	advantage	NOUN
cana-4995	58	3	is	be	AUX
cana-4995	58	4	that	that	SCONJ
cana-4995	58	5	the	the	DET
cana-4995	58	6	non	non	ADJ
cana-4995	58	7	-	-	ADJ
cana-4995	58	8	negative	negative	ADJ
cana-4995	58	9	values	value	NOUN
cana-4995	58	10	of	of	ADP
cana-4995	58	11	the	the	DET
cana-4995	58	12	variable	variable	ADJ
cana-4995	58	13	start	start	VERB
cana-4995	58	14	from	from	ADP
cana-4995	58	15	zero	zero	NUM
cana-4995	58	16	with	with	ADP
cana-4995	58	17	no	no	DET
cana-4995	58	18	upper	upper	ADJ
cana-4995	58	19	limit	limit	NOUN
cana-4995	58	20	.	.	PUNCT
cana-4995	59	1	the	the	DET
cana-4995	59	2	natural	natural	ADJ
cana-4995	59	3	logarithm	logarithm	NOUN
cana-4995	59	4	properties	property	NOUN
cana-4995	59	5	can	can	AUX
cana-4995	59	6	be	be	AUX
cana-4995	59	7	used	use	VERB
cana-4995	59	8	to	to	PART
cana-4995	59	9	ensure	ensure	VERB
cana-4995	59	10	that	that	SCONJ
cana-4995	59	11	the	the	DET
cana-4995	59	12	parameter	parameter	NOUN
cana-4995	59	13	is	be	AUX
cana-4995	59	14	positive	positive	ADJ
cana-4995	59	15	for	for	ADP
cana-4995	59	16	any	any	DET
cana-4995	59	17	value	value	NOUN
cana-4995	59	18	of	of	ADP
cana-4995	59	19	the	the	DET
cana-4995	59	20	explanatory	explanatory	ADJ
cana-4995	59	21	variables	variable	NOUN
cana-4995	59	22	.	.	PUNCT
cana-4995	60	1	also	also	ADV
cana-4995	60	2	,	,	PUNCT
cana-4995	60	3	the	the	DET
cana-4995	60	4	rule	rule	NOUN
cana-4995	60	5	for	for	ADP
cana-4995	60	6	raising	raise	VERB
cana-4995	60	7	the	the	DET
cana-4995	60	8	natural	natural	ADJ
cana-4995	60	9	logarithm	logarithm	NOUN
cana-4995	60	10	of	of	ADP
cana-4995	60	11	a	a	DET
cana-4995	60	12	function	function	NOUN
cana-4995	60	13	to	to	ADP
cana-4995	60	14	the	the	DET
cana-4995	60	15	power	power	NOUN
cana-4995	60	16	of	of	ADP
cana-4995	60	17	the	the	DET
cana-4995	60	18	natural	natural	ADJ
cana-4995	60	19	number	number	NOUN
cana-4995	60	20	base	base	NOUN
cana-4995	60	21	(	(	PUNCT
cana-4995	60	22	e	e	NOUN
cana-4995	60	23	)	)	PUNCT
cana-4995	60	24	produce	produce	VERB
cana-4995	60	25	the	the	DET
cana-4995	60	26	function	function	NOUN
cana-4995	60	27	itself	itself	PRON
cana-4995	60	28	𝑓(𝑦	𝑓(𝑦	ADV
cana-4995	60	29	)	)	PUNCT
cana-4995	61	1	=	=	VERB
cana-4995	61	2	𝑒log	𝑒log	VERB
cana-4995	61	3	[	[	X
cana-4995	61	4	𝑓(𝑦	𝑓(𝑦	PROPN
cana-4995	61	5	)	)	PUNCT
cana-4995	61	6	]	]	PUNCT
cana-4995	61	7	can	can	AUX
cana-4995	61	8	be	be	AUX
cana-4995	61	9	used	use	VERB
cana-4995	61	10	to	to	PART
cana-4995	61	11	rewrite	rewrite	VERB
cana-4995	61	12	the	the	DET
cana-4995	61	13	poisson	poisson	NOUN
cana-4995	61	14	probability	probability	NOUN
cana-4995	61	15	distribution	distribution	NOUN
cana-4995	61	16	function	function	NOUN
cana-4995	61	17	in	in	ADP
cana-4995	61	18	exponential	exponential	ADJ
cana-4995	61	19	form	form	NOUN
cana-4995	61	20	with	with	ADP
cana-4995	61	21	parameter	parameter	NOUN
cana-4995	61	22	𝜃	𝜃	X
cana-4995	61	23	=	=	SYM
cana-4995	61	24	log(𝜆	log(𝜆	PROPN
cana-4995	61	25	)	)	PUNCT
cana-4995	61	26	as	as	SCONJ
cana-4995	61	27	follows	follow	VERB
cana-4995	61	28	:	:	PUNCT
cana-4995	61	29	pr(𝑌	pr(𝑌	NOUN
cana-4995	61	30	=	=	SYM
cana-4995	61	31	𝑦	𝑦	X
cana-4995	61	32	)	)	PUNCT
cana-4995	61	33	=	=	PUNCT
cana-4995	61	34	𝑒	𝑒	PRON
cana-4995	61	35	𝑙𝑜𝑔	𝑙𝑜𝑔	NOUN
cana-4995	61	36	[	[	PUNCT
cana-4995	61	37	𝑒−𝜆	𝑒−𝜆	X
cana-4995	61	38	𝜆𝑦	𝜆𝑦	X
cana-4995	61	39	𝑦	𝑦	NOUN
cana-4995	61	40	!	!	PUNCT
cana-4995	61	41	]	]	PUNCT
cana-4995	62	1	=	=	PUNCT
cana-4995	62	2	𝑒log	𝑒log	X
cana-4995	62	3	(	(	PUNCT
cana-4995	62	4	𝑒−𝜆)+log(𝜆𝑦)−log	𝑒−𝜆)+log(𝜆𝑦)−log	NOUN
cana-4995	62	5	(	(	PUNCT
cana-4995	62	6	𝑦	𝑦	NOUN
cana-4995	62	7	!	!	PUNCT
cana-4995	62	8	)	)	PUNCT
cana-4995	63	1	=	=	X
cana-4995	63	2	𝑒−𝜆+y.log(𝜆)−log	𝑒−𝜆+y.log(𝜆)−log	NOUN
cana-4995	63	3	(	(	PUNCT
cana-4995	63	4	𝑦	𝑦	NOUN
cana-4995	63	5	!	!	PUNCT
cana-4995	63	6	)	)	PUNCT
cana-4995	64	1	=	=	PUNCT
cana-4995	64	2	𝑒y.log(𝜆)−𝜆	𝑒y.log(𝜆)−𝜆	NUM
cana-4995	64	3	1	1	NUM
cana-4995	64	4	𝑦	𝑦	NOUN
cana-4995	64	5	!	!	PUNCT
cana-4995	65	1	(	(	PUNCT
cana-4995	65	2	2	2	X
cana-4995	65	3	)	)	PUNCT
cana-4995	65	4	the	the	DET
cana-4995	65	5	poisson	poisson	PROPN
cana-4995	65	6	regression	regression	NOUN
cana-4995	65	7	model	model	NOUN
cana-4995	65	8	is	be	AUX
cana-4995	65	9	considered	consider	VERB
cana-4995	65	10	as	as	ADP
cana-4995	65	11	one	one	NUM
cana-4995	65	12	of	of	ADP
cana-4995	65	13	the	the	DET
cana-4995	65	14	generalized	generalize	VERB
cana-4995	65	15	linear	linear	NOUN
cana-4995	65	16	models	model	NOUN
cana-4995	65	17	(	(	PUNCT
cana-4995	65	18	glm	glm	PROPN
cana-4995	65	19	)	)	PUNCT
cana-4995	65	20	which	which	PRON
cana-4995	65	21	model	model	VERB
cana-4995	65	22	data	datum	NOUN
cana-4995	65	23	belonging	belong	VERB
cana-4995	65	24	to	to	ADP
cana-4995	65	25	the	the	DET
cana-4995	65	26	exponential	exponential	ADJ
cana-4995	65	27	family	family	NOUN
cana-4995	65	28	.	.	PUNCT
cana-4995	66	1	the	the	DET
cana-4995	66	2	generalized	generalize	VERB
cana-4995	66	3	linear	linear	PROPN
cana-4995	66	4	model	model	NOUN
cana-4995	66	5	contains	contain	VERB
cana-4995	66	6	three	three	NUM
cana-4995	66	7	components	component	NOUN
cana-4995	66	8	:	:	PUNCT
cana-4995	66	9	the	the	DET
cana-4995	66	10	random	random	ADJ
cana-4995	66	11	component	component	NOUN
cana-4995	66	12	which	which	PRON
cana-4995	66	13	is	be	AUX
cana-4995	66	14	poisson	poisson	NOUN
cana-4995	66	15	-	-	PUNCT
cana-4995	66	16	distributed	distribute	VERB
cana-4995	66	17	response	response	NOUN
cana-4995	66	18	,	,	PUNCT
cana-4995	66	19	the	the	DET
cana-4995	66	20	systematic	systematic	ADJ
cana-4995	66	21	component	component	NOUN
cana-4995	66	22	which	which	PRON
cana-4995	66	23	is	be	AUX
cana-4995	66	24	linear	linear	PROPN
cana-4995	66	25	predictor	predictor	NOUN
cana-4995	66	26	,	,	PUNCT
cana-4995	66	27	and	and	CCONJ
cana-4995	66	28	the	the	DET
cana-4995	66	29	link	link	NOUN
cana-4995	66	30	function	function	NOUN
cana-4995	66	31	(	(	PUNCT
cana-4995	66	32	nelder	nelder	NOUN
cana-4995	66	33	&	&	CCONJ
cana-4995	66	34	wedderburn	wedderburn	PROPN
cana-4995	66	35	,	,	PUNCT
cana-4995	66	36	1972	1972	NUM
cana-4995	66	37	)	)	PUNCT
cana-4995	66	38	.	.	PUNCT
cana-4995	67	1	poisson	poisson	PROPN
cana-4995	67	2	regression	regression	PROPN
cana-4995	67	3	is	be	AUX
cana-4995	67	4	a	a	DET
cana-4995	67	5	log	log	NOUN
cana-4995	67	6	-	-	PUNCT
cana-4995	67	7	linear	linear	NOUN
cana-4995	67	8	model	model	NOUN
cana-4995	67	9	because	because	SCONJ
cana-4995	67	10	the	the	DET
cana-4995	67	11	link	link	NOUN
cana-4995	67	12	function	function	NOUN
cana-4995	67	13	that	that	PRON
cana-4995	67	14	links	link	VERB
cana-4995	67	15	the	the	DET
cana-4995	67	16	mean	mean	NOUN
cana-4995	67	17	of	of	ADP
cana-4995	67	18	the	the	DET
cana-4995	67	19	dependent	dependent	ADJ
cana-4995	67	20	or	or	CCONJ
cana-4995	67	21	communications	communication	NOUN
cana-4995	67	22	on	on	ADP
cana-4995	67	23	applied	apply	VERB
cana-4995	67	24	nonlinear	nonlinear	ADJ
cana-4995	67	25	analysis	analysis	NOUN
cana-4995	67	26	issn	issn	NOUN
cana-4995	67	27	:	:	PUNCT
cana-4995	67	28	1074	1074	NUM
cana-4995	67	29	-	-	PUNCT
cana-4995	67	30	133x	133x	NUM
cana-4995	67	31	vol	vol	NOUN
cana-4995	67	32	31	31	NUM
cana-4995	67	33	no	no	NOUN
cana-4995	67	34	.	.	PUNCT
cana-4995	68	1	8s	8s	PROPN
cana-4995	68	2	(	(	PUNCT
cana-4995	68	3	2024	2024	NUM
cana-4995	68	4	)	)	PUNCT
cana-4995	68	5	878	878	NUM
cana-4995	68	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4995	68	7	response	response	NOUN
cana-4995	68	8	variable	variable	ADJ
cana-4995	68	9	to	to	ADP
cana-4995	68	10	at	at	ADV
cana-4995	68	11	least	least	ADV
cana-4995	68	12	two	two	NUM
cana-4995	68	13	explanatory	explanatory	ADJ
cana-4995	68	14	variables	variable	NOUN
cana-4995	68	15	in	in	ADP
cana-4995	68	16	the	the	DET
cana-4995	68	17	case	case	NOUN
cana-4995	68	18	of	of	ADP
cana-4995	68	19	multiple	multiple	ADJ
cana-4995	68	20	regression	regression	NOUN
cana-4995	68	21	is	be	AUX
cana-4995	68	22	a	a	DET
cana-4995	68	23	logarithmic	logarithmic	ADJ
cana-4995	68	24	function	function	NOUN
cana-4995	68	25	as	as	SCONJ
cana-4995	68	26	follows	follow	VERB
cana-4995	68	27	:	:	PUNCT
cana-4995	68	28	log(𝜇𝑖	log(𝜇𝑖	NOUN
cana-4995	68	29	)	)	PUNCT
cana-4995	68	30	=	=	SYM
cana-4995	68	31	log(𝜆𝑖	log(𝜆𝑖	X
cana-4995	68	32	)	)	PUNCT
cana-4995	69	1	=	=	SYM
cana-4995	69	2	𝛽0	𝛽0	PROPN
cana-4995	69	3	+	+	CCONJ
cana-4995	69	4	𝛽1𝑥𝑖1	𝛽1𝑥𝑖1	NOUN
cana-4995	69	5	+	+	CCONJ
cana-4995	69	6	𝛽2𝑥𝑖2	𝛽2𝑥𝑖2	NOUN
cana-4995	69	7	(	(	PUNCT
cana-4995	69	8	3	3	NUM
cana-4995	69	9	)	)	PUNCT
cana-4995	69	10	when	when	SCONJ
cana-4995	69	11	the	the	DET
cana-4995	69	12	values	value	NOUN
cana-4995	69	13	of	of	ADP
cana-4995	69	14	the	the	DET
cana-4995	69	15	dependent	dependent	ADJ
cana-4995	69	16	or	or	CCONJ
cana-4995	69	17	response	response	NOUN
cana-4995	69	18	variable	variable	NOUN
cana-4995	69	19	are	be	AUX
cana-4995	69	20	non	non	ADJ
cana-4995	69	21	-	-	ADJ
cana-4995	69	22	negative	negative	ADJ
cana-4995	69	23	discrete	discrete	NOUN
cana-4995	69	24	,	,	PUNCT
cana-4995	69	25	the	the	DET
cana-4995	69	26	poisson	poisson	NOUN
cana-4995	69	27	distribution	distribution	NOUN
cana-4995	69	28	is	be	AUX
cana-4995	69	29	the	the	DET
cana-4995	69	30	default	default	NOUN
cana-4995	69	31	distribution	distribution	NOUN
cana-4995	69	32	in	in	ADP
cana-4995	69	33	the	the	DET
cana-4995	69	34	count	count	NOUN
cana-4995	69	35	regression	regression	NOUN
cana-4995	69	36	.	.	PUNCT
cana-4995	70	1	maximum	maximum	ADJ
cana-4995	70	2	likelihood	likelihood	NOUN
cana-4995	70	3	method	method	NOUN
cana-4995	70	4	can	can	AUX
cana-4995	70	5	be	be	AUX
cana-4995	70	6	used	use	VERB
cana-4995	70	7	to	to	PART
cana-4995	70	8	estimate	estimate	VERB
cana-4995	70	9	the	the	DET
cana-4995	70	10	parameters	parameter	NOUN
cana-4995	70	11	of	of	ADP
cana-4995	70	12	poisson	poisson	PROPN
cana-4995	70	13	regression	regression	NOUN
cana-4995	70	14	,	,	PUNCT
cana-4995	70	15	unlike	unlike	ADP
cana-4995	70	16	ordinary	ordinary	ADJ
cana-4995	70	17	least	least	ADJ
cana-4995	70	18	squares	square	NOUN
cana-4995	70	19	(	(	PUNCT
cana-4995	70	20	ols	ol	NOUN
cana-4995	70	21	)	)	PUNCT
cana-4995	70	22	method	method	NOUN
cana-4995	70	23	is	be	AUX
cana-4995	70	24	used	use	VERB
cana-4995	70	25	in	in	ADP
cana-4995	70	26	classical	classical	ADJ
cana-4995	70	27	linear	linear	NOUN
cana-4995	70	28	regression	regression	NOUN
cana-4995	70	29	.	.	PUNCT
cana-4995	71	1	ordinary	ordinary	ADJ
cana-4995	71	2	least	least	ADJ
cana-4995	71	3	squares	square	NOUN
cana-4995	71	4	method	method	NOUN
cana-4995	71	5	allows	allow	VERB
cana-4995	71	6	estimating	estimate	VERB
cana-4995	71	7	the	the	DET
cana-4995	71	8	mean	mean	NOUN
cana-4995	71	9	of	of	ADP
cana-4995	71	10	response	response	NOUN
cana-4995	71	11	variable	variable	ADJ
cana-4995	71	12	to	to	PART
cana-4995	71	13	be	be	AUX
cana-4995	71	14	negative	negative	ADJ
cana-4995	71	15	(	(	PUNCT
cana-4995	71	16	chatterjee	chatterjee	PROPN
cana-4995	71	17	&	&	CCONJ
cana-4995	71	18	simonoff	simonoff	PROPN
cana-4995	71	19	,	,	PUNCT
cana-4995	71	20	2020	2020	NUM
cana-4995	71	21	)	)	PUNCT
cana-4995	71	22	.	.	PUNCT
cana-4995	72	1	the	the	DET
cana-4995	72	2	likelihood	likelihood	NOUN
cana-4995	72	3	function	function	NOUN
cana-4995	72	4	and	and	CCONJ
cana-4995	72	5	the	the	DET
cana-4995	72	6	logarithm	logarithm	NOUN
cana-4995	72	7	of	of	ADP
cana-4995	72	8	the	the	DET
cana-4995	72	9	likelihood	likelihood	NOUN
cana-4995	72	10	function	function	NOUN
cana-4995	72	11	can	can	AUX
cana-4995	72	12	be	be	AUX
cana-4995	72	13	derived	derive	VERB
cana-4995	72	14	as	as	SCONJ
cana-4995	72	15	follows	follow	VERB
cana-4995	72	16	:	:	PUNCT
cana-4995	72	17	𝐿	𝐿	PROPN
cana-4995	72	18	=	=	SYM
cana-4995	72	19	(	(	PUNCT
cana-4995	72	20	𝑒−	𝑒−	X
cana-4995	72	21	∑	∑	PUNCT
cana-4995	72	22	𝜆𝑖	𝜆𝑖	VERB
cana-4995	72	23	𝑛	𝑛	PRON
cana-4995	72	24	𝑖=1	𝑖=1	PROPN
cana-4995	72	25	)	)	PUNCT
cana-4995	73	1	(	(	PUNCT
cana-4995	73	2	∏	∏	PROPN
cana-4995	73	3	𝜆𝑖	𝜆𝑖	NOUN
cana-4995	73	4	𝑦𝑖𝑛	𝑦𝑖𝑛	NOUN
cana-4995	73	5	𝑖=1	𝑖=1	PUNCT
cana-4995	73	6	)	)	PUNCT
cana-4995	73	7	∏	∏	PROPN
cana-4995	73	8	𝑦𝑖!𝑛	𝑦𝑖!𝑛	NOUN
cana-4995	73	9	𝑖=1	𝑖=1	PROPN
cana-4995	73	10	ln	ln	PROPN
cana-4995	73	11	𝐿	𝐿	PROPN
cana-4995	73	12	=	=	SYM
cana-4995	73	13	𝑙	𝑙	NOUN
cana-4995	73	14	=	=	SYM
cana-4995	73	15	ln(𝑒−	ln(𝑒−	NOUN
cana-4995	73	16	∑	∑	INTJ
cana-4995	73	17	𝜆𝑖	𝜆𝑖	VERB
cana-4995	73	18	𝑛	𝑛	PRON
cana-4995	73	19	𝑖=1	𝑖=1	PROPN
cana-4995	73	20	)	)	PUNCT
cana-4995	74	1	+	+	CCONJ
cana-4995	74	2	ln(∏	ln(∏	VERB
cana-4995	74	3	𝜆𝑖	𝜆𝑖	NOUN
cana-4995	74	4	𝑦𝑖	𝑦𝑖	NUM
cana-4995	74	5	𝑛	𝑛	PROPN
cana-4995	74	6	𝑖=1	𝑖=1	PROPN
cana-4995	74	7	)	)	PUNCT
cana-4995	75	1	−	−	PROPN
cana-4995	76	1	ln(∏	ln(∏	PROPN
cana-4995	76	2	𝑦𝑖	𝑦𝑖	NOUN
cana-4995	76	3	!	!	PUNCT
cana-4995	76	4	𝑛	𝑛	PROPN
cana-4995	76	5	𝑖=1	𝑖=1	PUNCT
cana-4995	76	6	)	)	PUNCT
cana-4995	77	1	𝑙	𝑙	X
cana-4995	77	2	=	=	PUNCT
cana-4995	77	3	−	−	PROPN
cana-4995	77	4	∑	∑	PUNCT
cana-4995	77	5	𝜆𝑖	𝜆𝑖	VERB
cana-4995	77	6	𝑛	𝑛	PRON
cana-4995	77	7	𝑖=1	𝑖=1	PROPN
cana-4995	78	1	+	+	CCONJ
cana-4995	78	2	∑	∑	PROPN
cana-4995	78	3	ln(𝜆𝑖	ln(𝜆𝑖	ADJ
cana-4995	78	4	𝑦𝑖	𝑦𝑖	NOUN
cana-4995	78	5	)	)	PUNCT
cana-4995	78	6	𝑛	𝑛	PRON
cana-4995	78	7	𝑖=1	𝑖=1	PROPN
cana-4995	78	8	−	−	NOUN
cana-4995	78	9	∑	∑	PUNCT
cana-4995	78	10	ln(𝑦𝑖	ln(𝑦𝑖	PROPN
cana-4995	78	11	!	!	PUNCT
cana-4995	78	12	)	)	PUNCT
cana-4995	79	1	𝑛	𝑛	PRON
cana-4995	79	2	𝑖=1	𝑖=1	PUNCT
cana-4995	80	1	𝑙	𝑙	X
cana-4995	80	2	=	=	PUNCT
cana-4995	80	3	−	−	PROPN
cana-4995	80	4	∑	∑	PUNCT
cana-4995	80	5	𝜆𝑖	𝜆𝑖	VERB
cana-4995	80	6	𝑛	𝑛	PRON
cana-4995	80	7	𝑖=1	𝑖=1	PROPN
cana-4995	81	1	+	+	CCONJ
cana-4995	81	2	∑	∑	ADV
cana-4995	81	3	𝑦𝑖ln(𝜆𝑖	𝑦𝑖ln(𝜆𝑖	ADJ
cana-4995	81	4	)	)	PUNCT
cana-4995	81	5	𝑛	𝑛	PRON
cana-4995	81	6	𝑖=1	𝑖=1	PROPN
cana-4995	81	7	−	−	NOUN
cana-4995	81	8	∑	∑	PUNCT
cana-4995	81	9	ln(𝑦𝑖	ln(𝑦𝑖	PROPN
cana-4995	81	10	!	!	PUNCT
cana-4995	81	11	)	)	PUNCT
cana-4995	82	1	𝑛	𝑛	PRON
cana-4995	82	2	𝑖=1	𝑖=1	PROPN
cana-4995	82	3	(	(	PUNCT
cana-4995	82	4	4	4	X
cana-4995	82	5	)	)	PUNCT
cana-4995	82	6	single	single	ADJ
cana-4995	82	7	poisson	poisson	NOUN
cana-4995	82	8	regression	regression	NOUN
cana-4995	82	9	models	model	NOUN
cana-4995	82	10	can	can	AUX
cana-4995	82	11	be	be	AUX
cana-4995	82	12	viewed	view	VERB
cana-4995	82	13	as	as	ADP
cana-4995	82	14	a	a	DET
cana-4995	82	15	special	special	ADJ
cana-4995	82	16	case	case	NOUN
cana-4995	82	17	of	of	ADP
cana-4995	82	18	a	a	DET
cana-4995	82	19	system	system	NOUN
cana-4995	82	20	of	of	ADP
cana-4995	82	21	poisson	poisson	PROPN
cana-4995	82	22	regression	regression	NOUN
cana-4995	82	23	equations	equation	NOUN
cana-4995	82	24	which	which	PRON
cana-4995	82	25	is	be	AUX
cana-4995	82	26	useful	useful	ADJ
cana-4995	82	27	in	in	ADP
cana-4995	82	28	many	many	ADJ
cana-4995	82	29	applied	apply	VERB
cana-4995	82	30	studies	study	NOUN
cana-4995	82	31	when	when	SCONJ
cana-4995	82	32	count	count	NOUN
cana-4995	82	33	outcomes	outcome	NOUN
cana-4995	82	34	are	be	AUX
cana-4995	82	35	interrelated	interrelate	VERB
cana-4995	82	36	across	across	ADP
cana-4995	82	37	equations	equation	NOUN
cana-4995	82	38	although	although	SCONJ
cana-4995	82	39	seemingly	seemingly	ADV
cana-4995	82	40	unrelated	unrelated	ADJ
cana-4995	82	41	.	.	PUNCT
cana-4995	83	1	this	this	DET
cana-4995	83	2	issue	issue	NOUN
cana-4995	83	3	is	be	AUX
cana-4995	83	4	pronounced	pronounce	VERB
cana-4995	83	5	in	in	ADP
cana-4995	83	6	seemingly	seemingly	ADV
cana-4995	83	7	unrelated	unrelated	ADJ
cana-4995	83	8	poisson	poisson	NOUN
cana-4995	83	9	regression	regression	NOUN
cana-4995	83	10	(	(	PUNCT
cana-4995	83	11	supr	supr	NOUN
cana-4995	83	12	)	)	PUNCT
cana-4995	83	13	framework	framework	NOUN
cana-4995	83	14	or	or	CCONJ
cana-4995	83	15	poisson	poisson	NOUN
cana-4995	83	16	sur	sur	PROPN
cana-4995	83	17	system	system	NOUN
cana-4995	83	18	.	.	PUNCT
cana-4995	84	1	to	to	PART
cana-4995	84	2	present	present	VERB
cana-4995	84	3	the	the	DET
cana-4995	84	4	simplest	simple	ADJ
cana-4995	84	5	form	form	NOUN
cana-4995	84	6	,	,	PUNCT
cana-4995	84	7	systems	system	NOUN
cana-4995	84	8	of	of	ADP
cana-4995	84	9	two	two	NUM
cana-4995	84	10	poisson	poisson	NOUN
cana-4995	84	11	regression	regression	NOUN
cana-4995	84	12	equations	equation	NOUN
cana-4995	84	13	,	,	PUNCT
cana-4995	84	14	consider	consider	VERB
cana-4995	84	15	two	two	NUM
cana-4995	84	16	dependent	dependent	ADJ
cana-4995	84	17	variables	variable	NOUN
cana-4995	84	18	y1	y1	INTJ
cana-4995	84	19	and	and	CCONJ
cana-4995	84	20	y2	y2	NOUN
cana-4995	84	21	,	,	PUNCT
cana-4995	85	1	each	each	DET
cana-4995	85	2	poisson	poisson	NOUN
cana-4995	85	3	distributed	distribute	VERB
cana-4995	85	4	with	with	ADP
cana-4995	85	5	parameters	parameter	NOUN
cana-4995	85	6	λ1	λ1	ADJ
cana-4995	85	7	and	and	CCONJ
cana-4995	85	8	λ2	λ2	PROPN
cana-4995	85	9	and	and	CCONJ
cana-4995	85	10	log(𝜆1	log(𝜆1	PROPN
cana-4995	85	11	)	)	PUNCT
cana-4995	85	12	=	=	SYM
cana-4995	85	13	𝛽10	𝛽10	NOUN
cana-4995	85	14	+	+	CCONJ
cana-4995	85	15	𝛽11𝑥11	𝛽11𝑥11	X
cana-4995	85	16	+	+	X
cana-4995	85	17	𝛽12𝑥12	𝛽12𝑥12	ADJ
cana-4995	85	18	,	,	PUNCT
cana-4995	85	19	log(𝜆2	log(𝜆2	ADJ
cana-4995	85	20	)	)	PUNCT
cana-4995	85	21	=	=	SYM
cana-4995	85	22	𝛽20	𝛽20	NOUN
cana-4995	85	23	+	+	CCONJ
cana-4995	85	24	𝛽21𝑥21	𝛽21𝑥21	ADJ
cana-4995	85	25	+	+	NUM
cana-4995	85	26	𝛽22𝑥22	𝛽22𝑥22	NOUN
cana-4995	85	27	(	(	PUNCT
cana-4995	85	28	5	5	NUM
cana-4995	85	29	)	)	PUNCT
cana-4995	85	30	where	where	SCONJ
cana-4995	85	31	𝑥11	𝑥11	ADV
cana-4995	85	32	,	,	PUNCT
cana-4995	85	33	𝑥12	𝑥12	VERB
cana-4995	85	34	are	be	AUX
cana-4995	85	35	explanatory	explanatory	ADJ
cana-4995	85	36	variables	variable	NOUN
cana-4995	85	37	in	in	ADP
cana-4995	85	38	the	the	DET
cana-4995	85	39	first	first	ADJ
cana-4995	85	40	regression	regression	NOUN
cana-4995	85	41	equation	equation	NOUN
cana-4995	85	42	of	of	ADP
cana-4995	85	43	the	the	DET
cana-4995	85	44	system	system	NOUN
cana-4995	85	45	,	,	PUNCT
cana-4995	85	46	and	and	CCONJ
cana-4995	85	47	𝑥21	𝑥21	NOUN
cana-4995	85	48	,	,	PUNCT
cana-4995	85	49	𝑥22	𝑥22	NOUN
cana-4995	85	50	are	be	AUX
cana-4995	85	51	explanatory	explanatory	ADJ
cana-4995	85	52	variables	variable	NOUN
cana-4995	85	53	in	in	ADP
cana-4995	85	54	the	the	DET
cana-4995	85	55	second	second	ADJ
cana-4995	85	56	regression	regression	NOUN
cana-4995	85	57	equation	equation	NOUN
cana-4995	85	58	of	of	ADP
cana-4995	85	59	the	the	DET
cana-4995	85	60	system	system	NOUN
cana-4995	85	61	.	.	PUNCT
cana-4995	86	1	4	4	X
cana-4995	86	2	.	.	X
cana-4995	86	3	bootstrap	bootstrap	NOUN
cana-4995	86	4	method	method	NOUN
cana-4995	86	5	this	this	DET
cana-4995	86	6	section	section	NOUN
cana-4995	86	7	presents	present	VERB
cana-4995	86	8	the	the	DET
cana-4995	86	9	main	main	ADJ
cana-4995	86	10	idea	idea	NOUN
cana-4995	86	11	of	of	ADP
cana-4995	86	12	bootstrap	bootstrap	NOUN
cana-4995	86	13	method	method	NOUN
cana-4995	86	14	.	.	PUNCT
cana-4995	87	1	bootstrap	bootstrap	NOUN
cana-4995	87	2	method	method	NOUN
cana-4995	87	3	was	be	AUX
cana-4995	87	4	introduced	introduce	VERB
cana-4995	87	5	by	by	ADP
cana-4995	87	6	efron	efron	PROPN
cana-4995	87	7	(	(	PUNCT
cana-4995	87	8	1979	1979	NUM
cana-4995	87	9	)	)	PUNCT
cana-4995	87	10	for	for	ADP
cana-4995	87	11	the	the	DET
cana-4995	87	12	first	first	ADJ
cana-4995	87	13	time	time	NOUN
cana-4995	87	14	,	,	PUNCT
cana-4995	87	15	and	and	CCONJ
cana-4995	87	16	refined	refine	VERB
cana-4995	87	17	by	by	ADP
cana-4995	87	18	efron	efron	PROPN
cana-4995	87	19	and	and	CCONJ
cana-4995	87	20	tibshirani	tibshirani	PROPN
cana-4995	87	21	(	(	PUNCT
cana-4995	87	22	1993	1993	NUM
cana-4995	87	23	)	)	PUNCT
cana-4995	87	24	as	as	ADP
cana-4995	87	25	a	a	DET
cana-4995	87	26	method	method	NOUN
cana-4995	87	27	of	of	ADP
cana-4995	87	28	resampling	resample	VERB
cana-4995	87	29	technique	technique	NOUN
cana-4995	87	30	.	.	PUNCT
cana-4995	88	1	bootstrap	bootstrap	NOUN
cana-4995	88	2	method	method	NOUN
cana-4995	88	3	is	be	AUX
cana-4995	88	4	used	use	VERB
cana-4995	88	5	for	for	ADP
cana-4995	88	6	estimating	estimate	VERB
cana-4995	88	7	statistical	statistical	ADJ
cana-4995	88	8	properties	property	NOUN
cana-4995	88	9	without	without	ADP
cana-4995	88	10	strong	strong	ADJ
cana-4995	88	11	distributional	distributional	ADJ
cana-4995	88	12	assumptions	assumption	NOUN
cana-4995	88	13	.	.	PUNCT
cana-4995	89	1	so	so	ADV
cana-4995	89	2	,	,	PUNCT
cana-4995	89	3	the	the	DET
cana-4995	89	4	bootstrap	bootstrap	NOUN
cana-4995	89	5	method	method	NOUN
cana-4995	89	6	can	can	AUX
cana-4995	89	7	be	be	AUX
cana-4995	89	8	used	use	VERB
cana-4995	89	9	in	in	ADP
cana-4995	89	10	both	both	CCONJ
cana-4995	89	11	linear	linear	ADJ
cana-4995	89	12	and	and	CCONJ
cana-4995	89	13	non	non	ADJ
cana-4995	89	14	-	-	ADJ
cana-4995	89	15	linear	linear	ADJ
cana-4995	89	16	regression	regression	NOUN
cana-4995	89	17	models	model	NOUN
cana-4995	89	18	communications	communication	NOUN
cana-4995	89	19	on	on	ADP
cana-4995	89	20	applied	apply	VERB
cana-4995	89	21	nonlinear	nonlinear	ADJ
cana-4995	89	22	analysis	analysis	NOUN
cana-4995	89	23	issn	issn	NOUN
cana-4995	89	24	:	:	PUNCT
cana-4995	89	25	1074	1074	NUM
cana-4995	89	26	-	-	PUNCT
cana-4995	89	27	133x	133x	NUM
cana-4995	89	28	vol	vol	NOUN
cana-4995	89	29	31	31	NUM
cana-4995	89	30	no	no	NOUN
cana-4995	89	31	.	.	PUNCT
cana-4995	90	1	8s	8s	PROPN
cana-4995	90	2	(	(	PUNCT
cana-4995	90	3	2024	2024	NUM
cana-4995	90	4	)	)	PUNCT
cana-4995	90	5	879	879	NUM
cana-4995	90	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4995	90	7	(	(	PUNCT
cana-4995	90	8	freedman	freedman	PROPN
cana-4995	90	9	,	,	PUNCT
cana-4995	90	10	1981	1981	NUM
cana-4995	90	11	)	)	PUNCT
cana-4995	90	12	.	.	PUNCT
cana-4995	91	1	this	this	DET
cana-4995	91	2	research	research	NOUN
cana-4995	91	3	uses	use	VERB
cana-4995	91	4	the	the	DET
cana-4995	91	5	nonparametric	nonparametric	NOUN
cana-4995	91	6	bootstrap	bootstrap	NOUN
cana-4995	91	7	,	,	PUNCT
cana-4995	91	8	which	which	PRON
cana-4995	91	9	requires	require	VERB
cana-4995	91	10	no	no	DET
cana-4995	91	11	assumptions	assumption	NOUN
cana-4995	91	12	about	about	ADP
cana-4995	91	13	the	the	DET
cana-4995	91	14	population	population	NOUN
cana-4995	91	15	distribution	distribution	NOUN
cana-4995	91	16	.	.	PUNCT
cana-4995	92	1	the	the	DET
cana-4995	92	2	idea	idea	NOUN
cana-4995	92	3	of	of	ADP
cana-4995	92	4	bootstrapping	bootstrapping	NOUN
cana-4995	92	5	is	be	AUX
cana-4995	92	6	to	to	PART
cana-4995	92	7	generate	generate	VERB
cana-4995	92	8	a	a	DET
cana-4995	92	9	large	large	ADJ
cana-4995	92	10	number	number	NOUN
cana-4995	92	11	of	of	ADP
cana-4995	92	12	samples	sample	NOUN
cana-4995	92	13	with	with	ADP
cana-4995	92	14	the	the	DET
cana-4995	92	15	same	same	ADJ
cana-4995	92	16	size	size	NOUN
cana-4995	92	17	from	from	ADP
cana-4995	92	18	the	the	DET
cana-4995	92	19	original	original	ADJ
cana-4995	92	20	sample	sample	NOUN
cana-4995	92	21	using	use	VERB
cana-4995	92	22	random	random	ADJ
cana-4995	92	23	sampling	sampling	NOUN
cana-4995	92	24	with	with	ADP
cana-4995	92	25	replacement	replacement	NOUN
cana-4995	92	26	.	.	PUNCT
cana-4995	93	1	for	for	ADP
cana-4995	93	2	each	each	DET
cana-4995	93	3	bootstrapped	bootstrappe	VERB
cana-4995	93	4	sample	sample	NOUN
cana-4995	93	5	,	,	PUNCT
cana-4995	93	6	statistic	statistic	NOUN
cana-4995	93	7	of	of	ADP
cana-4995	93	8	interest	interest	NOUN
cana-4995	93	9	which	which	PRON
cana-4995	93	10	is	be	AUX
cana-4995	93	11	regression	regression	NOUN
cana-4995	93	12	coefficient	coefficient	NOUN
cana-4995	93	13	was	be	AUX
cana-4995	93	14	computed	compute	VERB
cana-4995	93	15	.	.	PUNCT
cana-4995	94	1	all	all	DET
cana-4995	94	2	the	the	DET
cana-4995	94	3	estimated	estimate	VERB
cana-4995	94	4	coefficients	coefficient	NOUN
cana-4995	94	5	construct	construct	VERB
cana-4995	94	6	an	an	DET
cana-4995	94	7	empirical	empirical	ADJ
cana-4995	94	8	sampling	sample	VERB
cana-4995	94	9	distribution	distribution	NOUN
cana-4995	94	10	which	which	PRON
cana-4995	94	11	is	be	AUX
cana-4995	94	12	the	the	DET
cana-4995	94	13	bootstrap	bootstrap	NOUN
cana-4995	94	14	distribution	distribution	NOUN
cana-4995	94	15	.	.	PUNCT
cana-4995	95	1	the	the	DET
cana-4995	95	2	parameter	parameter	NOUN
cana-4995	95	3	can	can	AUX
cana-4995	95	4	be	be	AUX
cana-4995	95	5	estimated	estimate	VERB
cana-4995	95	6	by	by	ADP
cana-4995	95	7	the	the	DET
cana-4995	95	8	expected	expect	VERB
cana-4995	95	9	value	value	NOUN
cana-4995	95	10	of	of	ADP
cana-4995	95	11	the	the	DET
cana-4995	95	12	bootstrap	bootstrap	NOUN
cana-4995	95	13	distribution	distribution	NOUN
cana-4995	95	14	,	,	PUNCT
cana-4995	95	15	and	and	CCONJ
cana-4995	95	16	its	its	PRON
cana-4995	95	17	standard	standard	ADJ
cana-4995	95	18	deviation	deviation	NOUN
cana-4995	95	19	approximates	approximate	VERB
cana-4995	95	20	the	the	DET
cana-4995	95	21	standard	standard	ADJ
cana-4995	95	22	error	error	NOUN
cana-4995	95	23	of	of	ADP
cana-4995	95	24	the	the	DET
cana-4995	95	25	estimate	estimate	NOUN
cana-4995	95	26	.	.	PUNCT
cana-4995	96	1	the	the	DET
cana-4995	96	2	nonparametric	nonparametric	PROPN
cana-4995	96	3	bootstrap	bootstrap	NOUN
cana-4995	96	4	algorithm	algorithm	NOUN
cana-4995	96	5	is	be	AUX
cana-4995	96	6	as	as	SCONJ
cana-4995	96	7	follows	follow	VERB
cana-4995	96	8	:	:	PUNCT
cana-4995	96	9	1draw	1draw	NUM
cana-4995	96	10	a	a	DET
cana-4995	96	11	random	random	ADJ
cana-4995	96	12	sample	sample	NOUN
cana-4995	96	13	with	with	ADP
cana-4995	96	14	replacement	replacement	NOUN
cana-4995	96	15	of	of	ADP
cana-4995	96	16	the	the	DET
cana-4995	96	17	same	same	ADJ
cana-4995	96	18	size	size	NOUN
cana-4995	96	19	of	of	ADP
cana-4995	96	20	the	the	DET
cana-4995	96	21	original	original	ADJ
cana-4995	96	22	sample	sample	NOUN
cana-4995	96	23	,	,	PUNCT
cana-4995	96	24	say	say	VERB
cana-4995	96	25	(	(	PUNCT
cana-4995	96	26	n	n	CCONJ
cana-4995	96	27	)	)	PUNCT
cana-4995	96	28	.	.	PUNCT
cana-4995	97	1	2use	2use	NUM
cana-4995	97	2	the	the	DET
cana-4995	97	3	new	new	ADJ
cana-4995	97	4	sample	sample	NOUN
cana-4995	97	5	to	to	PART
cana-4995	97	6	compute	compute	VERB
cana-4995	97	7	the	the	DET
cana-4995	97	8	statistic	statistic	NOUN
cana-4995	97	9	of	of	ADP
cana-4995	97	10	interest	interest	NOUN
cana-4995	97	11	,	,	PUNCT
cana-4995	97	12	which	which	PRON
cana-4995	97	13	is	be	AUX
cana-4995	97	14	�	�	PROPN
cana-4995	97	15	̂	̂	NOUN
cana-4995	97	16	�	�	NOUN
cana-4995	97	17	in	in	ADP
cana-4995	97	18	this	this	DET
cana-4995	97	19	research	research	NOUN
cana-4995	97	20	.	.	PUNCT
cana-4995	98	1	3repeat	3repeat	NUM
cana-4995	98	2	steps	step	NOUN
cana-4995	98	3	(	(	PUNCT
cana-4995	98	4	1	1	NUM
cana-4995	98	5	)	)	PUNCT
cana-4995	98	6	and	and	CCONJ
cana-4995	98	7	(	(	PUNCT
cana-4995	98	8	2	2	X
cana-4995	98	9	)	)	PUNCT
cana-4995	98	10	for	for	ADP
cana-4995	98	11	(	(	PUNCT
cana-4995	98	12	b	b	NOUN
cana-4995	98	13	)	)	PUNCT
cana-4995	98	14	iterations	iteration	NOUN
cana-4995	98	15	,	,	PUNCT
cana-4995	98	16	say	say	VERB
cana-4995	98	17	b=1000	b=1000	INTJ
cana-4995	98	18	4from	4from	NUM
cana-4995	98	19	the	the	DET
cana-4995	98	20	(	(	PUNCT
cana-4995	98	21	b	b	NOUN
cana-4995	98	22	)	)	PUNCT
cana-4995	98	23	bootstrapped	bootstrappe	VERB
cana-4995	98	24	estimates	estimate	NOUN
cana-4995	98	25	,	,	PUNCT
cana-4995	98	26	we	we	PRON
cana-4995	98	27	have	have	VERB
cana-4995	98	28	a	a	DET
cana-4995	98	29	random	random	ADJ
cana-4995	98	30	variable	variable	NOUN
cana-4995	98	31	.	.	PUNCT
cana-4995	99	1	calculate	calculate	VERB
cana-4995	99	2	the	the	DET
cana-4995	99	3	expected	expect	VERB
cana-4995	99	4	value	value	NOUN
cana-4995	99	5	to	to	PART
cana-4995	99	6	estimate	estimate	VERB
cana-4995	99	7	the	the	DET
cana-4995	99	8	true	true	ADJ
cana-4995	99	9	parameter	parameter	NOUN
cana-4995	99	10	,	,	PUNCT
cana-4995	99	11	and	and	CCONJ
cana-4995	99	12	standard	standard	ADJ
cana-4995	99	13	deviation	deviation	NOUN
cana-4995	99	14	to	to	PART
cana-4995	99	15	estimate	estimate	VERB
cana-4995	99	16	its	its	PRON
cana-4995	99	17	standard	standard	ADJ
cana-4995	99	18	error	error	NOUN
cana-4995	99	19	.	.	PUNCT
cana-4995	100	1	5	5	X
cana-4995	100	2	.	.	X
cana-4995	100	3	simulation	simulation	NOUN
cana-4995	100	4	study	study	PROPN
cana-4995	100	5	monte	monte	PROPN
cana-4995	100	6	carlo	carlo	PROPN
cana-4995	100	7	simulation	simulation	PROPN
cana-4995	100	8	study	study	PROPN
cana-4995	100	9	was	be	AUX
cana-4995	100	10	designed	design	VERB
cana-4995	100	11	in	in	ADP
cana-4995	100	12	order	order	NOUN
cana-4995	100	13	to	to	PART
cana-4995	100	14	compare	compare	VERB
cana-4995	100	15	the	the	DET
cana-4995	100	16	performance	performance	NOUN
cana-4995	100	17	of	of	ADP
cana-4995	100	18	estimates	estimate	NOUN
cana-4995	100	19	of	of	ADP
cana-4995	100	20	maximum	maximum	ADJ
cana-4995	100	21	likelihood	likelihood	NOUN
cana-4995	100	22	and	and	CCONJ
cana-4995	100	23	bootstrap	bootstrap	NOUN
cana-4995	100	24	of	of	ADP
cana-4995	100	25	the	the	DET
cana-4995	100	26	multiple	multiple	ADJ
cana-4995	100	27	poisson	poisson	NOUN
cana-4995	100	28	regression	regression	NOUN
cana-4995	100	29	parameters	parameter	NOUN
cana-4995	100	30	under	under	ADP
cana-4995	100	31	multicollinearity	multicollinearity	NOUN
cana-4995	100	32	.	.	PUNCT
cana-4995	101	1	the	the	DET
cana-4995	101	2	simulation	simulation	NOUN
cana-4995	101	3	study	study	NOUN
cana-4995	101	4	uses	use	VERB
cana-4995	101	5	different	different	ADJ
cana-4995	101	6	degrees	degree	NOUN
cana-4995	101	7	of	of	ADP
cana-4995	101	8	multicollinearity	multicollinearity	NOUN
cana-4995	101	9	and	and	CCONJ
cana-4995	101	10	different	different	ADJ
cana-4995	101	11	sample	sample	NOUN
cana-4995	101	12	sizes	size	NOUN
cana-4995	101	13	(	(	PUNCT
cana-4995	101	14	khan	khan	PROPN
cana-4995	101	15	et	et	PROPN
cana-4995	101	16	al	al	PROPN
cana-4995	101	17	.	.	PROPN
cana-4995	101	18	,	,	PUNCT
cana-4995	101	19	2021	2021	NUM
cana-4995	101	20	)	)	PUNCT
cana-4995	101	21	.	.	PUNCT
cana-4995	102	1	the	the	DET
cana-4995	102	2	r	r	NOUN
cana-4995	102	3	language	language	NOUN
cana-4995	102	4	is	be	AUX
cana-4995	102	5	used	use	VERB
cana-4995	102	6	to	to	PART
cana-4995	102	7	conduct	conduct	VERB
cana-4995	102	8	the	the	DET
cana-4995	102	9	simulation	simulation	NOUN
cana-4995	102	10	study	study	NOUN
cana-4995	102	11	,	,	PUNCT
cana-4995	102	12	based	base	VERB
cana-4995	102	13	on	on	ADP
cana-4995	102	14	two	two	NUM
cana-4995	102	15	factors	factor	NOUN
cana-4995	102	16	,	,	PUNCT
cana-4995	102	17	which	which	PRON
cana-4995	102	18	are	be	AUX
cana-4995	102	19	:	:	PUNCT
cana-4995	102	20	1the	1the	PRON
cana-4995	102	21	correlation	correlation	NOUN
cana-4995	102	22	between	between	ADP
cana-4995	102	23	explanatory	explanatory	ADJ
cana-4995	102	24	variables	variable	NOUN
cana-4995	102	25	(	(	PUNCT
cana-4995	102	26	r	r	NOUN
cana-4995	102	27	):	):	PUNCT
cana-4995	102	28	the	the	DET
cana-4995	102	29	degree	degree	NOUN
cana-4995	102	30	of	of	ADP
cana-4995	102	31	correlation	correlation	NOUN
cana-4995	102	32	represents	represent	VERB
cana-4995	102	33	the	the	DET
cana-4995	102	34	degree	degree	NOUN
cana-4995	102	35	of	of	ADP
cana-4995	102	36	multicollinearity	multicollinearity	NOUN
cana-4995	102	37	,	,	PUNCT
cana-4995	102	38	where	where	SCONJ
cana-4995	102	39	it	it	PRON
cana-4995	102	40	takes	take	VERB
cana-4995	102	41	the	the	DET
cana-4995	102	42	levels	level	NOUN
cana-4995	102	43	of	of	ADP
cana-4995	102	44	0.75	0.75	NUM
cana-4995	102	45	,	,	PUNCT
cana-4995	102	46	0.85	0.85	NUM
cana-4995	102	47	,	,	PUNCT
cana-4995	102	48	0.95	0.95	NUM
cana-4995	102	49	,	,	PUNCT
cana-4995	102	50	and	and	CCONJ
cana-4995	102	51	0.99	0.99	NUM
cana-4995	102	52	,	,	PUNCT
cana-4995	102	53	representing	represent	VERB
cana-4995	102	54	increasing	increase	VERB
cana-4995	102	55	of	of	ADP
cana-4995	102	56	multicollinearity	multicollinearity	NOUN
cana-4995	102	57	.	.	PUNCT
cana-4995	103	1	2sample	2sample	NUM
cana-4995	103	2	size	size	NOUN
cana-4995	103	3	(	(	PUNCT
cana-4995	103	4	n	n	CCONJ
cana-4995	103	5	):	):	PUNCT
cana-4995	103	6	it	it	PRON
cana-4995	103	7	’s	’s	AUX
cana-4995	103	8	determined	determine	VERB
cana-4995	103	9	by	by	ADP
cana-4995	103	10	levels	level	NOUN
cana-4995	103	11	of	of	ADP
cana-4995	103	12	25	25	NUM
cana-4995	103	13	,	,	PUNCT
cana-4995	103	14	50	50	NUM
cana-4995	103	15	,	,	PUNCT
cana-4995	103	16	100	100	NUM
cana-4995	103	17	,	,	PUNCT
cana-4995	103	18	150	150	NUM
cana-4995	103	19	,	,	PUNCT
cana-4995	103	20	and	and	CCONJ
cana-4995	103	21	200	200	NUM
cana-4995	103	22	.	.	PUNCT
cana-4995	104	1	the	the	DET
cana-4995	104	2	algorithm	algorithm	NOUN
cana-4995	104	3	of	of	ADP
cana-4995	104	4	halawa	halawa	PROPN
cana-4995	104	5	and	and	CCONJ
cana-4995	104	6	azzam	azzam	PROPN
cana-4995	104	7	(	(	PUNCT
cana-4995	104	8	1995	1995	NUM
cana-4995	104	9	)	)	PUNCT
cana-4995	104	10	study	study	NOUN
cana-4995	104	11	was	be	AUX
cana-4995	104	12	used	use	VERB
cana-4995	104	13	to	to	PART
cana-4995	104	14	simulate	simulate	VERB
cana-4995	104	15	explanatory	explanatory	ADJ
cana-4995	104	16	variables	variable	NOUN
cana-4995	104	17	with	with	ADP
cana-4995	104	18	different	different	ADJ
cana-4995	104	19	degrees	degree	NOUN
cana-4995	104	20	of	of	ADP
cana-4995	104	21	predefined	predefine	VERB
cana-4995	104	22	correlations	correlation	NOUN
cana-4995	104	23	.	.	PUNCT
cana-4995	105	1	in	in	ADP
cana-4995	105	2	order	order	NOUN
cana-4995	105	3	to	to	PART
cana-4995	105	4	building	build	VERB
cana-4995	105	5	a	a	DET
cana-4995	105	6	multiple	multiple	ADJ
cana-4995	105	7	regression	regression	NOUN
cana-4995	105	8	model	model	NOUN
cana-4995	105	9	with	with	ADP
cana-4995	105	10	two	two	NUM
cana-4995	105	11	explanatory	explanatory	ADJ
cana-4995	105	12	variables	variable	NOUN
cana-4995	105	13	(	(	PUNCT
cana-4995	105	14	𝑝	𝑝	NOUN
cana-4995	105	15	=	=	SYM
cana-4995	105	16	2	2	NUM
cana-4995	105	17	)	)	PUNCT
cana-4995	105	18	,	,	PUNCT
cana-4995	105	19	true	true	ADJ
cana-4995	105	20	parameters	parameter	NOUN
cana-4995	105	21	were	be	AUX
cana-4995	105	22	set	set	VERB
cana-4995	105	23	as	as	ADP
cana-4995	105	24	𝛽0	𝛽0	NOUN
cana-4995	105	25	=	=	SYM
cana-4995	105	26	1.0	1.0	NUM
cana-4995	105	27	,	,	PUNCT
cana-4995	105	28	𝛽1	𝛽1	NOUN
cana-4995	105	29	=	=	SYM
cana-4995	105	30	0.35	0.35	NUM
cana-4995	105	31	,	,	PUNCT
cana-4995	105	32	𝛽2	𝛽2	PROPN
cana-4995	105	33	=	=	SYM
cana-4995	105	34	−0.95	−0.95	PROPN
cana-4995	105	35	.	.	PUNCT
cana-4995	106	1	the	the	DET
cana-4995	106	2	dependent	dependent	ADJ
cana-4995	106	3	variable	variable	NOUN
cana-4995	106	4	was	be	AUX
cana-4995	106	5	simulated	simulate	VERB
cana-4995	106	6	from	from	ADP
cana-4995	106	7	a	a	DET
cana-4995	106	8	poisson	poisson	NOUN
cana-4995	106	9	distribution	distribution	NOUN
cana-4995	106	10	with	with	ADP
cana-4995	106	11	the	the	DET
cana-4995	106	12	parameter	parameter	NOUN
cana-4995	106	13	:	:	PUNCT
cana-4995	106	14	𝜇𝑖	𝜇𝑖	ADP
cana-4995	106	15	=	=	SYM
cana-4995	106	16	𝜆𝑖	𝜆𝑖	PROPN
cana-4995	106	17	=	=	SYM
cana-4995	106	18	𝑒𝑥𝑝(𝛽0+𝛽1𝑥𝑖1+𝛽2𝑥𝑖2	𝑒𝑥𝑝(𝛽0+𝛽1𝑥𝑖1+𝛽2𝑥𝑖2	PROPN
cana-4995	106	19	)	)	PUNCT
cana-4995	106	20	(	(	PUNCT
cana-4995	106	21	6	6	NUM
cana-4995	106	22	)	)	PUNCT
cana-4995	106	23	the	the	DET
cana-4995	106	24	r	r	NOUN
cana-4995	106	25	function	function	NOUN
cana-4995	106	26	used	use	VERB
cana-4995	106	27	to	to	PART
cana-4995	106	28	generate	generate	VERB
cana-4995	106	29	the	the	DET
cana-4995	106	30	dependent	dependent	ADJ
cana-4995	106	31	variable	variable	NOUN
cana-4995	106	32	as	as	ADP
cana-4995	106	33	a	a	DET
cana-4995	106	34	random	random	ADJ
cana-4995	106	35	poisson	poisson	NOUN
cana-4995	106	36	distribution	distribution	NOUN
cana-4995	106	37	is	be	AUX
cana-4995	106	38	“	"	PUNCT
cana-4995	106	39	rpois	rpois	NOUN
cana-4995	106	40	”	"	PUNCT
cana-4995	106	41	.	.	PUNCT
cana-4995	107	1	it	it	PRON
cana-4995	107	2	uses	use	VERB
cana-4995	107	3	two	two	NUM
cana-4995	107	4	arguments	argument	NOUN
cana-4995	107	5	,	,	PUNCT
cana-4995	107	6	sample	sample	NOUN
cana-4995	107	7	size	size	NOUN
cana-4995	107	8	(	(	PUNCT
cana-4995	107	9	n	n	CCONJ
cana-4995	107	10	)	)	PUNCT
cana-4995	107	11	,	,	PUNCT
cana-4995	107	12	and	and	CCONJ
cana-4995	107	13	poisson	poisson	NOUN
cana-4995	107	14	parameter	parameter	NOUN
cana-4995	107	15	shown	show	VERB
cana-4995	107	16	in	in	ADP
cana-4995	107	17	equation	equation	NOUN
cana-4995	107	18	(	(	PUNCT
cana-4995	107	19	6	6	NUM
cana-4995	107	20	)	)	PUNCT
cana-4995	107	21	.	.	PUNCT
cana-4995	108	1	the	the	DET
cana-4995	108	2	r	r	NOUN
cana-4995	108	3	code	code	NOUN
cana-4995	108	4	used	use	VERB
cana-4995	108	5	is	be	AUX
cana-4995	108	6	shown	show	VERB
cana-4995	108	7	as	as	SCONJ
cana-4995	108	8	follows	follow	VERB
cana-4995	108	9	:	:	PUNCT
cana-4995	108	10	#	#	NOUN
cana-4995	108	11	set	set	NOUN
cana-4995	108	12	betas	beta	NOUN
cana-4995	108	13	b0	b0	NOUN
cana-4995	108	14	=	=	SYM
cana-4995	108	15	1.00	1.00	NUM
cana-4995	108	16	b1	b1	NOUN
cana-4995	108	17	=	=	SYM
cana-4995	108	18	0.35	0.35	NUM
cana-4995	108	19	communications	communication	NOUN
cana-4995	108	20	on	on	ADP
cana-4995	108	21	applied	apply	VERB
cana-4995	108	22	nonlinear	nonlinear	ADJ
cana-4995	108	23	analysis	analysis	NOUN
cana-4995	108	24	issn	issn	NOUN
cana-4995	108	25	:	:	PUNCT
cana-4995	108	26	1074	1074	NUM
cana-4995	108	27	-	-	PUNCT
cana-4995	108	28	133x	133x	NUM
cana-4995	108	29	vol	vol	NOUN
cana-4995	108	30	31	31	NUM
cana-4995	108	31	no	no	NOUN
cana-4995	108	32	.	.	PUNCT
cana-4995	109	1	8s	8s	PROPN
cana-4995	109	2	(	(	PUNCT
cana-4995	109	3	2024	2024	NUM
cana-4995	109	4	)	)	PUNCT
cana-4995	109	5	880	880	NUM
cana-4995	109	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4995	109	7	b2	b2	NOUN
cana-4995	109	8	=	=	SYM
cana-4995	109	9	-0.95	-0.95	NUM
cana-4995	109	10	#	#	NOUN
cana-4995	109	11	compute	compute	NOUN
cana-4995	109	12	lambda	lambda	NOUN
cana-4995	109	13	lambda	lambda	NOUN
cana-4995	109	14	=	=	SYM
cana-4995	109	15	exp(b0	exp(b0	NOUN
cana-4995	109	16	+	+	CCONJ
cana-4995	109	17	b1	b1	NOUN
cana-4995	109	18	*	*	PUNCT
cana-4995	109	19	x1	x1	PROPN
cana-4995	109	20	+	+	NUM
cana-4995	109	21	b2	b2	NOUN
cana-4995	109	22	*	*	PUNCT
cana-4995	109	23	x2	x2	ADJ
cana-4995	109	24	)	)	PUNCT
cana-4995	109	25	#	#	NOUN
cana-4995	109	26	generate	generate	VERB
cana-4995	109	27	the	the	DET
cana-4995	109	28	dependent	dependent	ADJ
cana-4995	109	29	variable	variable	NOUN
cana-4995	109	30	y	y	PROPN
cana-4995	109	31	<	<	X
cana-4995	109	32	rpois(n	rpois(n	PROPN
cana-4995	109	33	,	,	PUNCT
cana-4995	109	34	lambda	lambda	NOUN
cana-4995	109	35	)	)	PUNCT
cana-4995	109	36	appendix	appendix	NOUN
cana-4995	109	37	(	(	PUNCT
cana-4995	109	38	1	1	X
cana-4995	109	39	)	)	PUNCT
cana-4995	109	40	shows	show	VERB
cana-4995	109	41	the	the	DET
cana-4995	109	42	generated	generate	VERB
cana-4995	109	43	data	datum	NOUN
cana-4995	109	44	in	in	ADP
cana-4995	109	45	case	case	NOUN
cana-4995	109	46	of	of	ADP
cana-4995	109	47	n	n	NOUN
cana-4995	109	48	=	=	SYM
cana-4995	109	49	25	25	NUM
cana-4995	109	50	and	and	CCONJ
cana-4995	109	51	all	all	DET
cana-4995	109	52	levels	level	NOUN
cana-4995	109	53	of	of	ADP
cana-4995	109	54	multicollinearity	multicollinearity	NOUN
cana-4995	109	55	as	as	ADP
cana-4995	109	56	an	an	DET
cana-4995	109	57	example	example	NOUN
cana-4995	109	58	.	.	PUNCT
cana-4995	110	1	model	model	NOUN
cana-4995	110	2	was	be	AUX
cana-4995	110	3	estimated	estimate	VERB
cana-4995	110	4	using	use	VERB
cana-4995	110	5	mle	mle	NOUN
cana-4995	110	6	,	,	PUNCT
cana-4995	110	7	and	and	CCONJ
cana-4995	110	8	standard	standard	ADJ
cana-4995	110	9	errors	error	NOUN
cana-4995	110	10	were	be	AUX
cana-4995	110	11	calculated	calculate	VERB
cana-4995	110	12	using	use	VERB
cana-4995	110	13	the	the	DET
cana-4995	110	14	following	follow	VERB
cana-4995	110	15	r	r	NOUN
cana-4995	110	16	code	code	NOUN
cana-4995	110	17	:	:	PUNCT
cana-4995	111	1	p.model	p.model	PROPN
cana-4995	111	2	=	=	PUNCT
cana-4995	111	3	glm(y	glm(y	PROPN
cana-4995	111	4	~	~	PUNCT
cana-4995	111	5	x1	x1	PROPN
cana-4995	112	1	+	+	CCONJ
cana-4995	112	2	x2	x2	ADJ
cana-4995	112	3	,	,	PUNCT
cana-4995	112	4	family	family	NOUN
cana-4995	112	5	=	=	SYM
cana-4995	112	6	poisson(link	poisson(link	NOUN
cana-4995	112	7	=	=	SYM
cana-4995	112	8	log	log	PROPN
cana-4995	112	9	)	)	PUNCT
cana-4995	112	10	)	)	PUNCT
cana-4995	112	11	p.se	p.se	NOUN
cana-4995	112	12	=	=	PUNCT
cana-4995	112	13	c((summary(p.model))$coefficients[,2	c((summary(p.model))$coefficients[,2	NOUN
cana-4995	112	14	]	]	PUNCT
cana-4995	112	15	)	)	PUNCT
cana-4995	112	16	then	then	ADV
cana-4995	112	17	,	,	PUNCT
cana-4995	112	18	model	model	NOUN
cana-4995	112	19	was	be	AUX
cana-4995	112	20	estimated	estimate	VERB
cana-4995	112	21	using	use	VERB
cana-4995	112	22	bootstrap	bootstrap	NOUN
cana-4995	112	23	,	,	PUNCT
cana-4995	112	24	and	and	CCONJ
cana-4995	112	25	standard	standard	ADJ
cana-4995	112	26	errors	error	NOUN
cana-4995	112	27	were	be	AUX
cana-4995	112	28	calculated	calculate	VERB
cana-4995	112	29	to	to	PART
cana-4995	112	30	compare	compare	VERB
cana-4995	112	31	it	it	PRON
cana-4995	112	32	with	with	ADP
cana-4995	112	33	the	the	DET
cana-4995	112	34	mle	mle	PROPN
cana-4995	112	35	standard	standard	ADJ
cana-4995	112	36	errors	error	NOUN
cana-4995	112	37	,	,	PUNCT
cana-4995	112	38	using	use	VERB
cana-4995	112	39	the	the	DET
cana-4995	112	40	following	follow	VERB
cana-4995	112	41	r	r	NOUN
cana-4995	112	42	code	code	NOUN
cana-4995	112	43	:	:	PUNCT
cana-4995	113	1	boot.coef	boot.coef	PROPN
cana-4995	113	2	<	<	X
cana-4995	113	3	matrix(c(0	matrix(c(0	X
cana-4995	113	4	)	)	PUNCT
cana-4995	113	5	,	,	PUNCT
cana-4995	113	6	nrow	nrow	NOUN
cana-4995	113	7	=	=	SYM
cana-4995	113	8	1000	1000	NUM
cana-4995	113	9	,	,	PUNCT
cana-4995	113	10	ncol	ncol	NOUN
cana-4995	113	11	=	=	SYM
cana-4995	113	12	p+1	p+1	NOUN
cana-4995	113	13	)	)	PUNCT
cana-4995	113	14	boot.coef[1	boot.coef[1	NOUN
cana-4995	113	15	,	,	PUNCT
cana-4995	113	16	]	]	PUNCT
cana-4995	113	17	=	=	PUNCT
cana-4995	113	18	p.model$coefficients	p.model$coefficient	NOUN
cana-4995	113	19	for	for	ADP
cana-4995	113	20	(	(	PUNCT
cana-4995	113	21	i	i	PRON
cana-4995	113	22	in	in	ADP
cana-4995	113	23	1	1	NUM
cana-4995	113	24	:	:	SYM
cana-4995	113	25	999	999	NUM
cana-4995	113	26	)	)	PUNCT
cana-4995	113	27	{	{	PUNCT
cana-4995	113	28	boot.data	boot.data	ADP
cana-4995	113	29	<	<	X
cana-4995	113	30	data[sample(nrow(data	data[sample(nrow(data	PROPN
cana-4995	113	31	)	)	PUNCT
cana-4995	113	32	,	,	PUNCT
cana-4995	113	33	n	n	CCONJ
cana-4995	113	34	,	,	PUNCT
cana-4995	113	35	replace	replace	VERB
cana-4995	113	36	=	=	SYM
cana-4995	113	37	true	true	ADJ
cana-4995	113	38	)	)	PUNCT
cana-4995	113	39	,	,	PUNCT
cana-4995	113	40	]	]	PUNCT
cana-4995	113	41	boot.model	boot.model	X
cana-4995	113	42	=	=	PUNCT
cana-4995	113	43	glm(boot.data$y	glm(boot.data$y	PROPN
cana-4995	113	44	~	~	PUNCT
cana-4995	113	45	boot.data$x1	boot.data$x1	PROPN
cana-4995	113	46	+	+	CCONJ
cana-4995	113	47	boot.data$x2	boot.data$x2	PROPN
cana-4995	113	48	,	,	PUNCT
cana-4995	113	49	family	family	NOUN
cana-4995	113	50	=	=	SYM
cana-4995	113	51	poisson(link	poisson(link	NOUN
cana-4995	113	52	=	=	SYM
cana-4995	113	53	log	log	PROPN
cana-4995	113	54	)	)	PUNCT
cana-4995	113	55	)	)	PUNCT
cana-4995	113	56	boot.coef[(i+1	boot.coef[(i+1	NOUN
cana-4995	113	57	)	)	PUNCT
cana-4995	113	58	,	,	PUNCT
cana-4995	113	59	]	]	PUNCT
cana-4995	113	60	=	=	PUNCT
cana-4995	113	61	boot.model$coefficients	boot.model$coefficient	NOUN
cana-4995	113	62	}	}	PUNCT
cana-4995	113	63	boot.b0	boot.b0	PROPN
cana-4995	113	64	=	=	SYM
cana-4995	113	65	mean(boot.coef[,1	mean(boot.coef[,1	PROPN
cana-4995	113	66	]	]	PUNCT
cana-4995	113	67	)	)	PUNCT
cana-4995	114	1	boot.se.b0	boot.se.b0	PROPN
cana-4995	114	2	=	=	SYM
cana-4995	114	3	sqrt(((var(boot.coef[,1]))*(n-1)/n	sqrt(((var(boot.coef[,1]))*(n-1)/n	NOUN
cana-4995	114	4	)	)	PUNCT
cana-4995	114	5	)	)	PUNCT
cana-4995	115	1	boot.b1	boot.b1	NOUN
cana-4995	115	2	=	=	PUNCT
cana-4995	115	3	mean(boot.coef[,2	mean(boot.coef[,2	NOUN
cana-4995	115	4	]	]	PUNCT
cana-4995	115	5	)	)	PUNCT
cana-4995	115	6	boot.se.b1	boot.se.b1	PROPN
cana-4995	115	7	=	=	SYM
cana-4995	115	8	sqrt(((var(boot.coef[,2]))*(n-1)/n	sqrt(((var(boot.coef[,2]))*(n-1)/n	NOUN
cana-4995	115	9	)	)	PUNCT
cana-4995	115	10	)	)	PUNCT
cana-4995	116	1	boot.b2	boot.b2	PROPN
cana-4995	116	2	=	=	SYM
cana-4995	116	3	mean(boot.coef[,3	mean(boot.coef[,3	NOUN
cana-4995	116	4	]	]	X
cana-4995	116	5	)	)	PUNCT
cana-4995	116	6	boot.se.b2	boot.se.b2	SYM
cana-4995	116	7	=	=	SYM
cana-4995	116	8	sqrt(((var(boot.coef[,3]))*(n-1)/n	sqrt(((var(boot.coef[,3]))*(n-1)/n	NOUN
cana-4995	116	9	)	)	PUNCT
cana-4995	116	10	)	)	PUNCT
cana-4995	117	1	boot.results	boot.result	NOUN
cana-4995	117	2	<	<	X
cana-4995	117	3	matrix(c(boot.b0	matrix(c(boot.b0	PROPN
cana-4995	117	4	,	,	PUNCT
cana-4995	117	5	boot.b1	boot.b1	PROPN
cana-4995	117	6	,	,	PUNCT
cana-4995	117	7	boot.b2	boot.b2	PROPN
cana-4995	117	8	,	,	PUNCT
cana-4995	117	9	boot.se.b0	boot.se.b0	PROPN
cana-4995	117	10	,	,	PUNCT
cana-4995	117	11	boot.se.b1	boot.se.b1	PROPN
cana-4995	117	12	,	,	PUNCT
cana-4995	117	13	boot.se.b2	boot.se.b2	ADJ
cana-4995	117	14	)	)	PUNCT
cana-4995	117	15	,	,	PUNCT
cana-4995	117	16	nrow	nrow	NOUN
cana-4995	117	17	=	=	SYM
cana-4995	117	18	p+1	p+1	NOUN
cana-4995	117	19	,	,	PUNCT
cana-4995	117	20	ncol	ncol	NOUN
cana-4995	117	21	=	=	NOUN
cana-4995	117	22	2	2	X
cana-4995	117	23	)	)	PUNCT
cana-4995	117	24	in	in	ADP
cana-4995	117	25	context	context	NOUN
cana-4995	117	26	of	of	ADP
cana-4995	117	27	poisson	poisson	PROPN
cana-4995	117	28	regression	regression	NOUN
cana-4995	117	29	systems	system	NOUN
cana-4995	117	30	,	,	PUNCT
cana-4995	117	31	equation	equation	NOUN
cana-4995	117	32	(	(	PUNCT
cana-4995	117	33	5	5	X
cana-4995	117	34	)	)	PUNCT
cana-4995	117	35	can	can	AUX
cana-4995	117	36	be	be	AUX
cana-4995	117	37	applied	apply	VERB
cana-4995	117	38	with	with	ADP
cana-4995	117	39	the	the	DET
cana-4995	117	40	true	true	ADJ
cana-4995	117	41	parameters	parameter	NOUN
cana-4995	117	42	for	for	ADP
cana-4995	117	43	the	the	DET
cana-4995	117	44	first	first	ADJ
cana-4995	117	45	regression	regression	NOUN
cana-4995	117	46	equation	equation	NOUN
cana-4995	117	47	𝛽10	𝛽10	NUM
cana-4995	117	48	=	=	SYM
cana-4995	117	49	1.0	1.0	NUM
cana-4995	117	50	,	,	PUNCT
cana-4995	117	51	𝛽11	𝛽11	NOUN
cana-4995	117	52	=	=	SYM
cana-4995	117	53	0.35	0.35	NUM
cana-4995	117	54	,	,	PUNCT
cana-4995	117	55	𝛽12	𝛽12	PROPN
cana-4995	117	56	=	=	SYM
cana-4995	117	57	−0.95	−0.95	ADJ
cana-4995	117	58	,	,	PUNCT
cana-4995	117	59	and	and	CCONJ
cana-4995	117	60	for	for	ADP
cana-4995	117	61	the	the	DET
cana-4995	117	62	second	second	ADJ
cana-4995	117	63	regression	regression	NOUN
cana-4995	117	64	equation	equation	NOUN
cana-4995	117	65	𝛽20	𝛽20	NOUN
cana-4995	117	66	=	=	NUM
cana-4995	117	67	0.8	0.8	NUM
cana-4995	117	68	,	,	PUNCT
cana-4995	117	69	𝛽21	𝛽21	NOUN
cana-4995	117	70	=	=	PROPN
cana-4995	117	71	0.50	0.50	NUM
cana-4995	117	72	,	,	PUNCT
cana-4995	117	73	𝛽22	𝛽22	NOUN
cana-4995	117	74	=	=	SYM
cana-4995	117	75	−0.70	−0.70	X
cana-4995	117	76	.	.	PUNCT
cana-4995	118	1	communications	communication	NOUN
cana-4995	118	2	on	on	ADP
cana-4995	118	3	applied	apply	VERB
cana-4995	118	4	nonlinear	nonlinear	ADJ
cana-4995	118	5	analysis	analysis	NOUN
cana-4995	118	6	issn	issn	NOUN
cana-4995	118	7	:	:	PUNCT
cana-4995	118	8	1074	1074	NUM
cana-4995	118	9	-	-	PUNCT
cana-4995	118	10	133x	133x	NUM
cana-4995	118	11	vol	vol	NOUN
cana-4995	118	12	31	31	NUM
cana-4995	118	13	no	no	NOUN
cana-4995	118	14	.	.	PUNCT
cana-4995	119	1	8s	8s	PROPN
cana-4995	119	2	(	(	PUNCT
cana-4995	119	3	2024	2024	NUM
cana-4995	119	4	)	)	PUNCT
cana-4995	119	5	881	881	NUM
cana-4995	119	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4995	119	7	6	6	NUM
cana-4995	119	8	.	.	PUNCT
cana-4995	119	9	simulation	simulation	NOUN
cana-4995	119	10	results	result	VERB
cana-4995	119	11	the	the	DET
cana-4995	119	12	results	result	NOUN
cana-4995	119	13	of	of	ADP
cana-4995	119	14	the	the	DET
cana-4995	119	15	simulation	simulation	NOUN
cana-4995	119	16	study	study	NOUN
cana-4995	119	17	(	(	PUNCT
cana-4995	119	18	standard	standard	ADJ
cana-4995	119	19	errors	error	NOUN
cana-4995	119	20	for	for	ADP
cana-4995	119	21	both	both	DET
cana-4995	119	22	methods	method	NOUN
cana-4995	119	23	)	)	PUNCT
cana-4995	119	24	are	be	AUX
cana-4995	119	25	presented	present	VERB
cana-4995	119	26	in	in	ADP
cana-4995	119	27	appendix	appendix	NOUN
cana-4995	119	28	(	(	PUNCT
cana-4995	119	29	2	2	NUM
cana-4995	119	30	)	)	PUNCT
cana-4995	119	31	.	.	PUNCT
cana-4995	120	1	simulation	simulation	NOUN
cana-4995	120	2	results	result	NOUN
cana-4995	120	3	reveal	reveal	VERB
cana-4995	120	4	that	that	SCONJ
cana-4995	120	5	bootstrap	bootstrap	NOUN
cana-4995	120	6	standard	standard	ADJ
cana-4995	120	7	errors	error	NOUN
cana-4995	120	8	are	be	AUX
cana-4995	120	9	consistently	consistently	ADV
cana-4995	120	10	lower	low	ADJ
cana-4995	120	11	than	than	ADP
cana-4995	120	12	maximum	maximum	ADJ
cana-4995	120	13	likelihood	likelihood	NOUN
cana-4995	120	14	standard	standard	ADJ
cana-4995	120	15	errors	error	NOUN
cana-4995	120	16	across	across	ADP
cana-4995	120	17	all	all	DET
cana-4995	120	18	sample	sample	NOUN
cana-4995	120	19	sizes	size	NOUN
cana-4995	120	20	and	and	CCONJ
cana-4995	120	21	under	under	ADP
cana-4995	120	22	all	all	DET
cana-4995	120	23	levels	level	NOUN
cana-4995	120	24	of	of	ADP
cana-4995	120	25	multicollinearity	multicollinearity	NOUN
cana-4995	120	26	.	.	PUNCT
cana-4995	121	1	excel	excel	PROPN
cana-4995	121	2	was	be	AUX
cana-4995	121	3	used	use	VERB
cana-4995	121	4	to	to	PART
cana-4995	121	5	plot	plot	VERB
cana-4995	121	6	the	the	DET
cana-4995	121	7	standard	standard	ADJ
cana-4995	121	8	errors	error	NOUN
cana-4995	121	9	for	for	ADP
cana-4995	121	10	the	the	DET
cana-4995	121	11	three	three	NUM
cana-4995	121	12	estimates	estimate	NOUN
cana-4995	121	13	(	(	PUNCT
cana-4995	121	14	b0	b0	NOUN
cana-4995	121	15	,	,	PUNCT
cana-4995	121	16	b1	b1	NOUN
cana-4995	121	17	,	,	PUNCT
cana-4995	121	18	and	and	CCONJ
cana-4995	121	19	b2	b2	NOUN
cana-4995	121	20	)	)	PUNCT
cana-4995	121	21	of	of	ADP
cana-4995	121	22	both	both	PRON
cana-4995	121	23	maximum	maximum	ADJ
cana-4995	121	24	likelihood	likelihood	NOUN
cana-4995	121	25	and	and	CCONJ
cana-4995	121	26	bootstrap	bootstrap	NOUN
cana-4995	121	27	methods	method	NOUN
cana-4995	121	28	.	.	PUNCT
cana-4995	122	1	figure	figure	NOUN
cana-4995	122	2	(	(	PUNCT
cana-4995	122	3	1	1	NUM
cana-4995	122	4	)	)	PUNCT
cana-4995	122	5	standard	standard	ADJ
cana-4995	122	6	errors	error	NOUN
cana-4995	122	7	of	of	ADP
cana-4995	122	8	b0	b0	NOUN
cana-4995	122	9	using	use	VERB
cana-4995	122	10	the	the	DET
cana-4995	122	11	maximum	maximum	ADJ
cana-4995	122	12	likelihood	likelihood	NOUN
cana-4995	122	13	and	and	CCONJ
cana-4995	122	14	bootstrap	bootstrap	NOUN
cana-4995	122	15	methods	method	NOUN
cana-4995	122	16	figures	figure	NOUN
cana-4995	122	17	(	(	PUNCT
cana-4995	122	18	1	1	X
cana-4995	122	19	)	)	PUNCT
cana-4995	122	20	shows	show	VERB
cana-4995	122	21	that	that	SCONJ
cana-4995	122	22	standard	standard	ADJ
cana-4995	122	23	errors	error	NOUN
cana-4995	122	24	of	of	ADP
cana-4995	122	25	the	the	DET
cana-4995	122	26	intercept	intercept	NOUN
cana-4995	122	27	(	(	PUNCT
cana-4995	122	28	b₀	b₀	NOUN
cana-4995	122	29	)	)	PUNCT
cana-4995	122	30	decrease	decrease	NOUN
cana-4995	122	31	with	with	ADP
cana-4995	122	32	increasing	increase	VERB
cana-4995	122	33	sample	sample	NOUN
cana-4995	122	34	size	size	NOUN
cana-4995	122	35	for	for	ADP
cana-4995	122	36	both	both	DET
cana-4995	122	37	methods	method	NOUN
cana-4995	122	38	,	,	PUNCT
cana-4995	122	39	with	with	ADP
cana-4995	122	40	bootstrap	bootstrap	NOUN
cana-4995	122	41	outperforming	outperform	VERB
cana-4995	122	42	mle	mle	NOUN
cana-4995	122	43	for	for	ADP
cana-4995	122	44	all	all	DET
cana-4995	122	45	cases	case	NOUN
cana-4995	122	46	.	.	PUNCT
cana-4995	123	1	figure	figure	NOUN
cana-4995	123	2	(	(	PUNCT
cana-4995	123	3	2	2	NUM
cana-4995	123	4	)	)	PUNCT
cana-4995	123	5	standard	standard	ADJ
cana-4995	123	6	errors	error	NOUN
cana-4995	123	7	of	of	ADP
cana-4995	123	8	b1	b1	NOUN
cana-4995	123	9	using	use	VERB
cana-4995	123	10	the	the	DET
cana-4995	123	11	maximum	maximum	ADJ
cana-4995	123	12	likelihood	likelihood	NOUN
cana-4995	123	13	and	and	CCONJ
cana-4995	123	14	bootstrap	bootstrap	NOUN
cana-4995	123	15	methods	method	NOUN
cana-4995	123	16	0	0	NUM
cana-4995	123	17	0.02	0.02	NUM
cana-4995	123	18	0.04	0.04	NUM
cana-4995	123	19	0.06	0.06	NUM
cana-4995	123	20	0.08	0.08	NUM
cana-4995	123	21	0.1	0.1	NUM
cana-4995	123	22	0.12	0.12	NUM
cana-4995	123	23	0.14	0.14	NUM
cana-4995	123	24	r=	r=	ADJ
cana-4995	123	25	0	0	NUM
cana-4995	124	1	.7	.7	NUM
cana-4995	124	2	5	5	NUM
cana-4995	124	3	r=	r=	ADJ
cana-4995	124	4	0	0	NUM
cana-4995	125	1	.8	.8	NUM
cana-4995	125	2	5	5	NUM
cana-4995	125	3	r=	r=	ADJ
cana-4995	125	4	0	0	NUM
cana-4995	126	1	.9	.9	NUM
cana-4995	126	2	5	5	NUM
cana-4995	126	3	r=	r=	ADJ
cana-4995	126	4	0	0	NUM
cana-4995	127	1	.9	.9	NUM
cana-4995	127	2	9	9	NUM
cana-4995	127	3	r=	r=	ADJ
cana-4995	127	4	0	0	NUM
cana-4995	127	5	.7	.7	NUM
cana-4995	127	6	5	5	NUM
cana-4995	127	7	r=	r=	ADJ
cana-4995	127	8	0	0	NUM
cana-4995	128	1	.8	.8	NUM
cana-4995	128	2	5	5	NUM
cana-4995	128	3	r=	r=	ADJ
cana-4995	128	4	0	0	NUM
cana-4995	129	1	.9	.9	NUM
cana-4995	129	2	5	5	NUM
cana-4995	129	3	r=	r=	ADJ
cana-4995	129	4	0	0	NUM
cana-4995	130	1	.9	.9	NUM
cana-4995	130	2	9	9	NUM
cana-4995	130	3	r=	r=	ADJ
cana-4995	130	4	0	0	NUM
cana-4995	130	5	.7	.7	NUM
cana-4995	130	6	5	5	NUM
cana-4995	130	7	r=	r=	ADJ
cana-4995	130	8	0	0	NUM
cana-4995	131	1	.8	.8	NUM
cana-4995	131	2	5	5	NUM
cana-4995	131	3	r=	r=	ADJ
cana-4995	131	4	0	0	NUM
cana-4995	132	1	.9	.9	NUM
cana-4995	132	2	5	5	NUM
cana-4995	132	3	r=	r=	ADJ
cana-4995	132	4	0	0	NUM
cana-4995	133	1	.9	.9	NUM
cana-4995	133	2	9	9	NUM
cana-4995	133	3	r=	r=	ADJ
cana-4995	133	4	0	0	NUM
cana-4995	133	5	.7	.7	NUM
cana-4995	133	6	5	5	NUM
cana-4995	133	7	r=	r=	ADJ
cana-4995	133	8	0	0	NUM
cana-4995	134	1	.8	.8	NUM
cana-4995	134	2	5	5	NUM
cana-4995	134	3	r=	r=	ADJ
cana-4995	134	4	0	0	NUM
cana-4995	135	1	.9	.9	NUM
cana-4995	135	2	5	5	NUM
cana-4995	135	3	r=	r=	ADJ
cana-4995	135	4	0	0	NUM
cana-4995	136	1	.9	.9	NUM
cana-4995	136	2	9	9	NUM
cana-4995	136	3	r=	r=	ADJ
cana-4995	136	4	0	0	NUM
cana-4995	136	5	.7	.7	NUM
cana-4995	136	6	5	5	NUM
cana-4995	136	7	r=	r=	ADJ
cana-4995	136	8	0	0	NUM
cana-4995	137	1	.8	.8	NUM
cana-4995	137	2	5	5	NUM
cana-4995	137	3	r=	r=	ADJ
cana-4995	137	4	0	0	NUM
cana-4995	138	1	.9	.9	NUM
cana-4995	138	2	5	5	NUM
cana-4995	138	3	r=	r=	ADJ
cana-4995	138	4	0	0	NUM
cana-4995	139	1	.9	.9	NUM
cana-4995	139	2	9	9	NUM
cana-4995	139	3	25	25	NUM
cana-4995	139	4	50	50	NUM
cana-4995	139	5	100	100	NUM
cana-4995	139	6	150	150	NUM
cana-4995	139	7	200	200	NUM
cana-4995	139	8	b0	b0	NOUN
cana-4995	139	9	ml	ml	X
cana-4995	139	10	se	se	PROPN
cana-4995	139	11	boot	boot	PROPN
cana-4995	139	12	se	se	PROPN
cana-4995	139	13	0	0	NUM
cana-4995	139	14	0.5	0.5	NUM
cana-4995	139	15	1	1	NUM
cana-4995	139	16	1.5	1.5	NUM
cana-4995	139	17	2	2	NUM
cana-4995	139	18	2.5	2.5	NUM
cana-4995	139	19	3	3	NUM
cana-4995	139	20	3.5	3.5	NUM
cana-4995	139	21	4	4	NUM
cana-4995	139	22	4.5	4.5	NUM
cana-4995	139	23	5	5	NUM
cana-4995	139	24	r=	r=	ADJ
cana-4995	139	25	0	0	NUM
cana-4995	140	1	.7	.7	NUM
cana-4995	140	2	5	5	NUM
cana-4995	140	3	r=	r=	ADJ
cana-4995	140	4	0	0	NUM
cana-4995	141	1	.8	.8	NUM
cana-4995	141	2	5	5	NUM
cana-4995	141	3	r=	r=	ADJ
cana-4995	141	4	0	0	NUM
cana-4995	142	1	.9	.9	NUM
cana-4995	142	2	5	5	NUM
cana-4995	142	3	r=	r=	ADJ
cana-4995	142	4	0	0	NUM
cana-4995	143	1	.9	.9	NUM
cana-4995	143	2	9	9	NUM
cana-4995	143	3	r=	r=	ADJ
cana-4995	143	4	0	0	NUM
cana-4995	143	5	.7	.7	NUM
cana-4995	143	6	5	5	NUM
cana-4995	143	7	r=	r=	ADJ
cana-4995	143	8	0	0	NUM
cana-4995	144	1	.8	.8	NUM
cana-4995	144	2	5	5	NUM
cana-4995	144	3	r=	r=	ADJ
cana-4995	144	4	0	0	NUM
cana-4995	145	1	.9	.9	NUM
cana-4995	145	2	5	5	NUM
cana-4995	145	3	r=	r=	ADJ
cana-4995	145	4	0	0	NUM
cana-4995	146	1	.9	.9	NUM
cana-4995	146	2	9	9	NUM
cana-4995	146	3	r=	r=	ADJ
cana-4995	146	4	0	0	NUM
cana-4995	146	5	.7	.7	NUM
cana-4995	146	6	5	5	NUM
cana-4995	146	7	r=	r=	ADJ
cana-4995	146	8	0	0	NUM
cana-4995	147	1	.8	.8	NUM
cana-4995	147	2	5	5	NUM
cana-4995	147	3	r=	r=	ADJ
cana-4995	147	4	0	0	NUM
cana-4995	148	1	.9	.9	NUM
cana-4995	148	2	5	5	NUM
cana-4995	148	3	r=	r=	ADJ
cana-4995	148	4	0	0	NUM
cana-4995	149	1	.9	.9	NUM
cana-4995	149	2	9	9	NUM
cana-4995	149	3	r=	r=	ADJ
cana-4995	149	4	0	0	NUM
cana-4995	149	5	.7	.7	NUM
cana-4995	149	6	5	5	NUM
cana-4995	149	7	r=	r=	ADJ
cana-4995	149	8	0	0	NUM
cana-4995	150	1	.8	.8	NUM
cana-4995	150	2	5	5	NUM
cana-4995	150	3	r=	r=	ADJ
cana-4995	150	4	0	0	NUM
cana-4995	151	1	.9	.9	NUM
cana-4995	151	2	5	5	NUM
cana-4995	151	3	r=	r=	ADJ
cana-4995	151	4	0	0	NUM
cana-4995	152	1	.9	.9	NUM
cana-4995	152	2	9	9	NUM
cana-4995	152	3	r=	r=	ADJ
cana-4995	152	4	0	0	NUM
cana-4995	152	5	.7	.7	NUM
cana-4995	152	6	5	5	NUM
cana-4995	152	7	r=	r=	ADJ
cana-4995	152	8	0	0	NUM
cana-4995	153	1	.8	.8	NUM
cana-4995	153	2	5	5	NUM
cana-4995	153	3	r=	r=	ADJ
cana-4995	153	4	0	0	NUM
cana-4995	154	1	.9	.9	NUM
cana-4995	154	2	5	5	NUM
cana-4995	154	3	r=	r=	ADJ
cana-4995	154	4	0	0	NUM
cana-4995	155	1	.9	.9	NUM
cana-4995	155	2	9	9	NUM
cana-4995	155	3	25	25	NUM
cana-4995	155	4	50	50	NUM
cana-4995	155	5	100	100	NUM
cana-4995	155	6	150	150	NUM
cana-4995	155	7	200	200	NUM
cana-4995	155	8	b1	b1	NOUN
cana-4995	155	9	ml	ml	X
cana-4995	155	10	se	se	X
cana-4995	155	11	boot	boot	PROPN
cana-4995	155	12	se	se	PROPN
cana-4995	155	13	communications	communication	NOUN
cana-4995	155	14	on	on	ADP
cana-4995	155	15	applied	apply	VERB
cana-4995	155	16	nonlinear	nonlinear	ADJ
cana-4995	155	17	analysis	analysis	NOUN
cana-4995	155	18	issn	issn	NOUN
cana-4995	155	19	:	:	PUNCT
cana-4995	155	20	1074	1074	NUM
cana-4995	155	21	-	-	PUNCT
cana-4995	155	22	133x	133x	NUM
cana-4995	155	23	vol	vol	NOUN
cana-4995	155	24	31	31	NUM
cana-4995	155	25	no	no	NOUN
cana-4995	155	26	.	.	PUNCT
cana-4995	156	1	8s	8s	PROPN
cana-4995	156	2	(	(	PUNCT
cana-4995	156	3	2024	2024	NUM
cana-4995	156	4	)	)	PUNCT
cana-4995	156	5	882	882	NUM
cana-4995	156	6	https://internationalpubls.com	https://internationalpubls.com	NUM
cana-4995	156	7	figures	figure	NOUN
cana-4995	156	8	(	(	PUNCT
cana-4995	156	9	2	2	NUM
cana-4995	156	10	)	)	PUNCT
cana-4995	156	11	,	,	PUNCT
cana-4995	156	12	and	and	CCONJ
cana-4995	156	13	(	(	PUNCT
cana-4995	156	14	3	3	X
cana-4995	156	15	)	)	PUNCT
cana-4995	156	16	show	show	VERB
cana-4995	156	17	that	that	SCONJ
cana-4995	156	18	standard	standard	ADJ
cana-4995	156	19	errors	error	NOUN
cana-4995	156	20	of	of	ADP
cana-4995	156	21	slopes	slope	NOUN
cana-4995	156	22	(	(	PUNCT
cana-4995	156	23	b₁	b₁	PROPN
cana-4995	156	24	,	,	PUNCT
cana-4995	156	25	b₂	b₂	NOUN
cana-4995	156	26	)	)	PUNCT
cana-4995	156	27	generally	generally	ADV
cana-4995	156	28	increase	increase	VERB
cana-4995	156	29	with	with	ADP
cana-4995	156	30	multicollinearity	multicollinearity	NOUN
cana-4995	156	31	,	,	PUNCT
cana-4995	156	32	but	but	CCONJ
cana-4995	156	33	for	for	ADP
cana-4995	156	34	all	all	DET
cana-4995	156	35	cases	case	NOUN
cana-4995	156	36	,	,	PUNCT
cana-4995	156	37	the	the	DET
cana-4995	156	38	standard	standard	ADJ
cana-4995	156	39	errors	error	NOUN
cana-4995	156	40	of	of	ADP
cana-4995	156	41	the	the	DET
cana-4995	156	42	bootstrap	bootstrap	NOUN
cana-4995	156	43	method	method	NOUN
cana-4995	156	44	were	be	AUX
cana-4995	156	45	less	less	ADJ
cana-4995	156	46	than	than	ADP
cana-4995	156	47	the	the	DET
cana-4995	156	48	standard	standard	ADJ
cana-4995	156	49	errors	error	NOUN
cana-4995	156	50	of	of	ADP
cana-4995	156	51	the	the	DET
cana-4995	156	52	maximum	maximum	ADJ
cana-4995	156	53	likelihood	likelihood	NOUN
cana-4995	156	54	method	method	NOUN
cana-4995	156	55	,	,	PUNCT
cana-4995	156	56	which	which	PRON
cana-4995	156	57	means	mean	VERB
cana-4995	156	58	superiority	superiority	NOUN
cana-4995	156	59	of	of	ADP
cana-4995	156	60	bootstrap	bootstrap	NOUN
cana-4995	156	61	method	method	NOUN
cana-4995	156	62	.	.	PUNCT
cana-4995	157	1	figure	figure	NOUN
cana-4995	157	2	(	(	PUNCT
cana-4995	157	3	3	3	NUM
cana-4995	157	4	)	)	PUNCT
cana-4995	157	5	standard	standard	ADJ
cana-4995	157	6	errors	error	NOUN
cana-4995	157	7	of	of	ADP
cana-4995	157	8	b2	b2	NOUN
cana-4995	157	9	using	use	VERB
cana-4995	157	10	the	the	DET
cana-4995	157	11	maximum	maximum	ADJ
cana-4995	157	12	likelihood	likelihood	NOUN
cana-4995	157	13	and	and	CCONJ
cana-4995	157	14	bootstrap	bootstrap	NOUN
cana-4995	157	15	methods	method	NOUN
cana-4995	157	16	it	it	PRON
cana-4995	157	17	is	be	AUX
cana-4995	157	18	also	also	ADV
cana-4995	157	19	clear	clear	ADJ
cana-4995	157	20	from	from	ADP
cana-4995	157	21	figures	figure	NOUN
cana-4995	157	22	(	(	PUNCT
cana-4995	157	23	1	1	NUM
cana-4995	157	24	)	)	PUNCT
cana-4995	157	25	,	,	PUNCT
cana-4995	157	26	(	(	PUNCT
cana-4995	157	27	2	2	NUM
cana-4995	157	28	)	)	PUNCT
cana-4995	157	29	,	,	PUNCT
cana-4995	157	30	and	and	CCONJ
cana-4995	157	31	(	(	PUNCT
cana-4995	157	32	3	3	X
cana-4995	157	33	)	)	PUNCT
cana-4995	157	34	that	that	SCONJ
cana-4995	157	35	the	the	DET
cana-4995	157	36	plot	plot	NOUN
cana-4995	157	37	pattern	pattern	NOUN
cana-4995	157	38	differs	differ	VERB
cana-4995	157	39	in	in	ADP
cana-4995	157	40	the	the	DET
cana-4995	157	41	case	case	NOUN
cana-4995	157	42	of	of	ADP
cana-4995	157	43	the	the	DET
cana-4995	157	44	intercept	intercept	NOUN
cana-4995	157	45	b0	b0	NOUN
cana-4995	157	46	from	from	ADP
cana-4995	157	47	the	the	DET
cana-4995	157	48	case	case	NOUN
cana-4995	157	49	of	of	ADP
cana-4995	157	50	the	the	DET
cana-4995	157	51	two	two	NUM
cana-4995	157	52	slopes	slope	NOUN
cana-4995	157	53	b1	b1	NOUN
cana-4995	157	54	and	and	CCONJ
cana-4995	157	55	b2	b2	NOUN
cana-4995	157	56	which	which	PRON
cana-4995	157	57	represent	represent	VERB
cana-4995	157	58	estimators	estimator	NOUN
cana-4995	157	59	of	of	ADP
cana-4995	157	60	the	the	DET
cana-4995	157	61	effect	effect	NOUN
cana-4995	157	62	of	of	ADP
cana-4995	157	63	the	the	DET
cana-4995	157	64	explanatory	explanatory	ADJ
cana-4995	157	65	variables	variable	NOUN
cana-4995	157	66	while	while	SCONJ
cana-4995	157	67	the	the	DET
cana-4995	157	68	bootstrap	bootstrap	NOUN
cana-4995	157	69	method	method	NOUN
cana-4995	157	70	remains	remain	VERB
cana-4995	157	71	superior	superior	ADJ
cana-4995	157	72	.	.	PUNCT
cana-4995	158	1	figures	figure	NOUN
cana-4995	158	2	(	(	PUNCT
cana-4995	158	3	2	2	NUM
cana-4995	158	4	)	)	PUNCT
cana-4995	158	5	,	,	PUNCT
cana-4995	158	6	and	and	CCONJ
cana-4995	158	7	(	(	PUNCT
cana-4995	158	8	3	3	X
cana-4995	158	9	)	)	PUNCT
cana-4995	158	10	reflect	reflect	VERB
cana-4995	158	11	the	the	DET
cana-4995	158	12	advantage	advantage	NOUN
cana-4995	158	13	of	of	ADP
cana-4995	158	14	using	use	VERB
cana-4995	158	15	the	the	DET
cana-4995	158	16	bootstrap	bootstrap	NOUN
cana-4995	158	17	method	method	NOUN
cana-4995	158	18	in	in	ADP
cana-4995	158	19	the	the	DET
cana-4995	158	20	case	case	NOUN
cana-4995	158	21	of	of	ADP
cana-4995	158	22	multicollinearity	multicollinearity	NOUN
cana-4995	158	23	in	in	ADP
cana-4995	158	24	multiple	multiple	ADJ
cana-4995	158	25	poisson	poisson	NOUN
cana-4995	158	26	regression	regression	NOUN
cana-4995	158	27	for	for	ADP
cana-4995	158	28	all	all	DET
cana-4995	158	29	sample	sample	NOUN
cana-4995	158	30	sizes	size	NOUN
cana-4995	158	31	under	under	ADP
cana-4995	158	32	study	study	NOUN
cana-4995	158	33	,	,	PUNCT
cana-4995	158	34	as	as	SCONJ
cana-4995	158	35	evidenced	evidence	VERB
cana-4995	158	36	by	by	ADP
cana-4995	158	37	lower	low	ADJ
cana-4995	158	38	standard	standard	ADJ
cana-4995	158	39	errors	error	NOUN
cana-4995	158	40	in	in	ADP
cana-4995	158	41	the	the	DET
cana-4995	158	42	simulation	simulation	NOUN
cana-4995	158	43	study	study	NOUN
cana-4995	158	44	.	.	PUNCT
cana-4995	159	1	we	we	PRON
cana-4995	159	2	recommend	recommend	VERB
cana-4995	159	3	its	its	PRON
cana-4995	159	4	adoption	adoption	NOUN
cana-4995	159	5	when	when	SCONJ
cana-4995	159	6	explanatory	explanatory	ADJ
cana-4995	159	7	variables	variable	NOUN
cana-4995	159	8	are	be	AUX
cana-4995	159	9	correlated	correlate	VERB
cana-4995	159	10	especially	especially	ADV
cana-4995	159	11	in	in	ADP
cana-4995	159	12	the	the	DET
cana-4995	159	13	presence	presence	NOUN
cana-4995	159	14	of	of	ADP
cana-4995	159	15	severe	severe	ADJ
cana-4995	159	16	multicollinearity	multicollinearity	NOUN
cana-4995	159	17	.	.	PUNCT
cana-4995	160	1	appendix	appendix	NOUN
cana-4995	160	2	(	(	PUNCT
cana-4995	160	3	3	3	X
cana-4995	160	4	)	)	PUNCT
cana-4995	160	5	shows	show	VERB
cana-4995	160	6	the	the	DET
cana-4995	160	7	bootstrap	bootstrap	NOUN
cana-4995	160	8	’s	’s	PART
cana-4995	160	9	performance	performance	NOUN
cana-4995	160	10	under	under	ADP
cana-4995	160	11	multicollinearity	multicollinearity	NOUN
cana-4995	160	12	in	in	ADP
cana-4995	160	13	poisson	poisson	NOUN
cana-4995	160	14	seemingly	seemingly	ADV
cana-4995	160	15	unrelated	unrelated	ADJ
cana-4995	160	16	regression	regression	NOUN
cana-4995	160	17	(	(	PUNCT
cana-4995	160	18	sur	sur	NOUN
cana-4995	160	19	)	)	PUNCT
cana-4995	160	20	system	system	NOUN
cana-4995	160	21	through	through	ADP
cana-4995	160	22	presenting	present	VERB
cana-4995	160	23	the	the	DET
cana-4995	160	24	standard	standard	ADJ
cana-4995	160	25	errors	error	NOUN
cana-4995	160	26	for	for	ADP
cana-4995	160	27	poisson	poisson	NOUN
cana-4995	160	28	sur	sur	PROPN
cana-4995	160	29	system	system	NOUN
cana-4995	160	30	(	(	PUNCT
cana-4995	160	31	b10	b10	PROPN
cana-4995	160	32	,	,	PUNCT
cana-4995	160	33	b11	b11	PROPN
cana-4995	160	34	,	,	PUNCT
cana-4995	160	35	b1₂	b1₂	NOUN
cana-4995	160	36	,	,	PUNCT
cana-4995	160	37	b20	b20	NOUN
cana-4995	160	38	,	,	PUNCT
cana-4995	160	39	b2₁	b2₁	NOUN
cana-4995	160	40	,	,	PUNCT
cana-4995	160	41	b2₂	b2₂	NOUN
cana-4995	160	42	)	)	PUNCT
cana-4995	160	43	.	.	PUNCT
cana-4995	161	1	0	0	NUM
cana-4995	161	2	0.5	0.5	NUM
cana-4995	161	3	1	1	NUM
cana-4995	161	4	1.5	1.5	NUM
cana-4995	161	5	2	2	NUM
cana-4995	161	6	2.5	2.5	NUM
cana-4995	161	7	3	3	NUM
cana-4995	161	8	3.5	3.5	NUM
cana-4995	161	9	4	4	NUM
cana-4995	161	10	4.5	4.5	NUM
cana-4995	161	11	5	5	NUM
cana-4995	161	12	r=	r=	ADJ
cana-4995	161	13	0	0	NUM
cana-4995	162	1	.7	.7	NUM
cana-4995	162	2	5	5	NUM
cana-4995	162	3	r=	r=	ADJ
cana-4995	162	4	0	0	NUM
cana-4995	163	1	.8	.8	NUM
cana-4995	163	2	5	5	NUM
cana-4995	163	3	r=	r=	ADJ
cana-4995	163	4	0	0	NUM
cana-4995	164	1	.9	.9	NUM
cana-4995	164	2	5	5	NUM
cana-4995	164	3	r=	r=	ADJ
cana-4995	164	4	0	0	NUM
cana-4995	165	1	.9	.9	NUM
cana-4995	165	2	9	9	NUM
cana-4995	165	3	r=	r=	ADJ
cana-4995	165	4	0	0	NUM
cana-4995	165	5	.7	.7	NUM
cana-4995	165	6	5	5	NUM
cana-4995	165	7	r=	r=	ADJ
cana-4995	165	8	0	0	NUM
cana-4995	166	1	.8	.8	NUM
cana-4995	166	2	5	5	NUM
cana-4995	166	3	r=	r=	ADJ
cana-4995	166	4	0	0	NUM
cana-4995	167	1	.9	.9	NUM
cana-4995	167	2	5	5	NUM
cana-4995	167	3	r=	r=	ADJ
cana-4995	167	4	0	0	NUM
cana-4995	168	1	.9	.9	NUM
cana-4995	168	2	9	9	NUM
cana-4995	168	3	r=	r=	ADJ
cana-4995	168	4	0	0	NUM
cana-4995	168	5	.7	.7	NUM
cana-4995	168	6	5	5	NUM
cana-4995	168	7	r=	r=	ADJ
cana-4995	168	8	0	0	NUM
cana-4995	169	1	.8	.8	NUM
cana-4995	169	2	5	5	NUM
cana-4995	169	3	r=	r=	ADJ
cana-4995	169	4	0	0	NUM
cana-4995	170	1	.9	.9	NUM
cana-4995	170	2	5	5	NUM
cana-4995	170	3	r=	r=	ADJ
cana-4995	170	4	0	0	NUM
cana-4995	171	1	.9	.9	NUM
cana-4995	171	2	9	9	NUM
cana-4995	171	3	r=	r=	ADJ
cana-4995	171	4	0	0	NUM
cana-4995	171	5	.7	.7	NUM
cana-4995	171	6	5	5	NUM
cana-4995	171	7	r=	r=	ADJ
cana-4995	171	8	0	0	NUM
cana-4995	172	1	.8	.8	NUM
cana-4995	172	2	5	5	NUM
cana-4995	172	3	r=	r=	ADJ
cana-4995	172	4	0	0	NUM
cana-4995	173	1	.9	.9	NUM
cana-4995	173	2	5	5	NUM
cana-4995	173	3	r=	r=	ADJ
cana-4995	173	4	0	0	NUM
cana-4995	174	1	.9	.9	NUM
cana-4995	174	2	9	9	NUM
cana-4995	174	3	r=	r=	ADJ
cana-4995	174	4	0	0	NUM
cana-4995	174	5	.7	.7	NUM
cana-4995	174	6	5	5	NUM
cana-4995	174	7	r=	r=	ADJ
cana-4995	174	8	0	0	NUM
cana-4995	175	1	.8	.8	NUM
cana-4995	175	2	5	5	NUM
cana-4995	175	3	r=	r=	ADJ
cana-4995	175	4	0	0	NUM
cana-4995	176	1	.9	.9	NUM
cana-4995	176	2	5	5	NUM
cana-4995	176	3	r=	r=	ADJ
cana-4995	176	4	0	0	NUM
cana-4995	177	1	.9	.9	NUM
cana-4995	177	2	9	9	NUM
cana-4995	177	3	25	25	NUM
cana-4995	177	4	50	50	NUM
cana-4995	177	5	100	100	NUM
cana-4995	177	6	150	150	NUM
cana-4995	177	7	200	200	NUM
cana-4995	177	8	b2	b2	NOUN
cana-4995	177	9	ml	ml	PROPN
cana-4995	177	10	se	se	PROPN
cana-4995	177	11	boot	boot	PROPN
cana-4995	177	12	se	se	PROPN
cana-4995	177	13	0	0	NUM
cana-4995	177	14	0.05	0.05	NUM
cana-4995	177	15	0.1	0.1	NUM
cana-4995	177	16	0.15	0.15	NUM
cana-4995	177	17	0.2	0.2	NUM
cana-4995	177	18	0.25	0.25	NUM
cana-4995	177	19	r	r	NOUN
cana-4995	177	20	0.75	0.75	NUM
cana-4995	177	21	0.85	0.85	NUM
cana-4995	177	22	0.95	0.95	NUM
cana-4995	177	23	0.99	0.99	NUM
cana-4995	177	24	b10	b10	PROPN
cana-4995	177	25	b11	b11	PROPN
cana-4995	177	26	b12	b12	NOUN
cana-4995	177	27	b20	b20	PROPN
cana-4995	177	28	b21	b21	PROPN
cana-4995	177	29	b22	b22	PROPN
cana-4995	177	30	b10	b10	PROPN
cana-4995	177	31	b11	b11	PROPN
cana-4995	177	32	b12	b12	PROPN
cana-4995	177	33	b20	b20	PROPN
cana-4995	177	34	b21	b21	PROPN
cana-4995	177	35	b22	b22	PROPN
cana-4995	177	36	b10	b10	PROPN
cana-4995	177	37	b11	b11	PROPN
cana-4995	177	38	b12	b12	PROPN
cana-4995	177	39	b20	b20	PROPN
cana-4995	177	40	b21	b21	PROPN
cana-4995	177	41	b22	b22	PROPN
cana-4995	177	42	b10	b10	PROPN
cana-4995	177	43	b11	b11	PROPN
cana-4995	177	44	b12	b12	PROPN
cana-4995	177	45	b20	b20	PROPN
cana-4995	177	46	b21	b21	PROPN
cana-4995	177	47	b22	b22	PROPN
cana-4995	177	48	n=25	n=25	PROPN
cana-4995	177	49	ml	ml	PROPN
cana-4995	177	50	se	se	X
cana-4995	177	51	boot	boot	PROPN
cana-4995	177	52	se	se	PROPN
cana-4995	177	53	communications	communication	NOUN
cana-4995	177	54	on	on	ADP
cana-4995	177	55	applied	apply	VERB
cana-4995	177	56	nonlinear	nonlinear	ADJ
cana-4995	177	57	analysis	analysis	NOUN
cana-4995	177	58	issn	issn	NOUN
cana-4995	177	59	:	:	PUNCT
cana-4995	177	60	1074	1074	NUM
cana-4995	177	61	-	-	PUNCT
cana-4995	177	62	133x	133x	NUM
cana-4995	177	63	vol	vol	NOUN
cana-4995	177	64	31	31	NUM
cana-4995	177	65	no	no	NOUN
cana-4995	177	66	.	.	PUNCT
cana-4995	178	1	8s	8s	PROPN
cana-4995	178	2	(	(	PUNCT
cana-4995	178	3	2024	2024	NUM
cana-4995	178	4	)	)	PUNCT
cana-4995	178	5	883	883	NUM
cana-4995	178	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4995	178	7	figure	figure	NOUN
cana-4995	178	8	(	(	PUNCT
cana-4995	178	9	4	4	NUM
cana-4995	178	10	)	)	PUNCT
cana-4995	178	11	standard	standard	ADJ
cana-4995	178	12	errors	error	NOUN
cana-4995	178	13	of	of	ADP
cana-4995	178	14	coefficients	coefficient	NOUN
cana-4995	178	15	of	of	ADP
cana-4995	178	16	poisson	poisson	PROPN
cana-4995	178	17	sur	sur	PROPN
cana-4995	178	18	using	use	VERB
cana-4995	178	19	the	the	DET
cana-4995	178	20	ml	ml	NOUN
cana-4995	178	21	and	and	CCONJ
cana-4995	178	22	bootstrap	bootstrap	NOUN
cana-4995	178	23	methods	method	NOUN
cana-4995	178	24	0	0	NUM
cana-4995	178	25	0.05	0.05	NUM
cana-4995	178	26	0.1	0.1	NUM
cana-4995	178	27	0.15	0.15	NUM
cana-4995	178	28	r	r	NOUN
cana-4995	178	29	0.75	0.75	NUM
cana-4995	178	30	0.85	0.85	NUM
cana-4995	178	31	0.95	0.95	NUM
cana-4995	178	32	0.99	0.99	NUM
cana-4995	178	33	b10	b10	PROPN
cana-4995	178	34	b11	b11	PROPN
cana-4995	178	35	b12	b12	NOUN
cana-4995	178	36	b20	b20	PROPN
cana-4995	178	37	b21	b21	PROPN
cana-4995	178	38	b22	b22	PROPN
cana-4995	178	39	b10	b10	PROPN
cana-4995	178	40	b11	b11	PROPN
cana-4995	178	41	b12	b12	PROPN
cana-4995	178	42	b20	b20	PROPN
cana-4995	178	43	b21	b21	PROPN
cana-4995	178	44	b22	b22	PROPN
cana-4995	178	45	b10	b10	PROPN
cana-4995	178	46	b11	b11	PROPN
cana-4995	178	47	b12	b12	PROPN
cana-4995	178	48	b20	b20	PROPN
cana-4995	178	49	b21	b21	PROPN
cana-4995	178	50	b22	b22	PROPN
cana-4995	178	51	b10	b10	PROPN
cana-4995	178	52	b11	b11	PROPN
cana-4995	178	53	b12	b12	PROPN
cana-4995	178	54	b20	b20	PROPN
cana-4995	178	55	b21	b21	PROPN
cana-4995	178	56	b22	b22	PROPN
cana-4995	178	57	n=50	n=50	PROPN
cana-4995	178	58	ml	ml	PROPN
cana-4995	178	59	se	se	X
cana-4995	178	60	boot	boot	PROPN
cana-4995	178	61	se	se	PROPN
cana-4995	178	62	0	0	NUM
cana-4995	178	63	0.05	0.05	NUM
cana-4995	178	64	0.1	0.1	NUM
cana-4995	178	65	0.15	0.15	NUM
cana-4995	178	66	r	r	NOUN
cana-4995	178	67	0.75	0.75	NUM
cana-4995	178	68	0.85	0.85	NUM
cana-4995	178	69	0.95	0.95	NUM
cana-4995	178	70	0.99	0.99	NUM
cana-4995	178	71	b10	b10	PROPN
cana-4995	178	72	b11	b11	PROPN
cana-4995	178	73	b12	b12	NOUN
cana-4995	178	74	b20	b20	PROPN
cana-4995	178	75	b21	b21	PROPN
cana-4995	178	76	b22	b22	PROPN
cana-4995	178	77	b10	b10	PROPN
cana-4995	178	78	b11	b11	PROPN
cana-4995	178	79	b12	b12	PROPN
cana-4995	178	80	b20	b20	PROPN
cana-4995	178	81	b21	b21	PROPN
cana-4995	178	82	b22	b22	PROPN
cana-4995	178	83	b10	b10	PROPN
cana-4995	178	84	b11	b11	PROPN
cana-4995	178	85	b12	b12	PROPN
cana-4995	178	86	b20	b20	PROPN
cana-4995	178	87	b21	b21	PROPN
cana-4995	178	88	b22	b22	PROPN
cana-4995	178	89	b10	b10	PROPN
cana-4995	178	90	b11	b11	PROPN
cana-4995	178	91	b12	b12	PROPN
cana-4995	178	92	b20	b20	PROPN
cana-4995	178	93	b21	b21	PROPN
cana-4995	178	94	b22	b22	PROPN
cana-4995	178	95	n=100	n=100	PROPN
cana-4995	178	96	ml	ml	PROPN
cana-4995	178	97	se	se	PROPN
cana-4995	178	98	boot	boot	PROPN
cana-4995	178	99	se	se	PROPN
cana-4995	178	100	0	0	NUM
cana-4995	178	101	0.05	0.05	NUM
cana-4995	178	102	0.1	0.1	NUM
cana-4995	178	103	0.15	0.15	NUM
cana-4995	178	104	r	r	NOUN
cana-4995	178	105	0.75	0.75	NUM
cana-4995	178	106	0.85	0.85	NUM
cana-4995	178	107	0.95	0.95	NUM
cana-4995	178	108	0.99	0.99	NUM
cana-4995	178	109	b10	b10	PROPN
cana-4995	178	110	b11	b11	PROPN
cana-4995	178	111	b12	b12	NOUN
cana-4995	178	112	b20	b20	PROPN
cana-4995	178	113	b21	b21	PROPN
cana-4995	178	114	b22	b22	PROPN
cana-4995	178	115	b10	b10	PROPN
cana-4995	178	116	b11	b11	PROPN
cana-4995	178	117	b12	b12	PROPN
cana-4995	178	118	b20	b20	PROPN
cana-4995	178	119	b21	b21	PROPN
cana-4995	178	120	b22	b22	PROPN
cana-4995	178	121	b10	b10	PROPN
cana-4995	178	122	b11	b11	PROPN
cana-4995	178	123	b12	b12	PROPN
cana-4995	178	124	b20	b20	PROPN
cana-4995	178	125	b21	b21	PROPN
cana-4995	178	126	b22	b22	PROPN
cana-4995	178	127	b10	b10	PROPN
cana-4995	178	128	b11	b11	PROPN
cana-4995	178	129	b12	b12	PROPN
cana-4995	178	130	b20	b20	PROPN
cana-4995	178	131	b21	b21	PROPN
cana-4995	178	132	b22	b22	PROPN
cana-4995	178	133	n=150	n=150	PROPN
cana-4995	178	134	ml	ml	PROPN
cana-4995	178	135	se	se	PROPN
cana-4995	178	136	boot	boot	PROPN
cana-4995	178	137	se	se	PROPN
cana-4995	178	138	0	0	NUM
cana-4995	178	139	0.02	0.02	NUM
cana-4995	178	140	0.04	0.04	NUM
cana-4995	178	141	0.06	0.06	NUM
cana-4995	179	1	0.08	0.08	NUM
cana-4995	179	2	0.1	0.1	NUM
cana-4995	179	3	r	r	NOUN
cana-4995	179	4	0.75	0.75	NUM
cana-4995	179	5	0.85	0.85	NUM
cana-4995	179	6	0.95	0.95	NUM
cana-4995	179	7	0.99	0.99	NUM
cana-4995	179	8	b10	b10	PROPN
cana-4995	179	9	b11	b11	PROPN
cana-4995	179	10	b12	b12	NOUN
cana-4995	179	11	b20	b20	PROPN
cana-4995	179	12	b21	b21	PROPN
cana-4995	179	13	b22	b22	PROPN
cana-4995	179	14	b10	b10	PROPN
cana-4995	179	15	b11	b11	PROPN
cana-4995	179	16	b12	b12	PROPN
cana-4995	179	17	b20	b20	PROPN
cana-4995	179	18	b21	b21	PROPN
cana-4995	179	19	b22	b22	PROPN
cana-4995	179	20	b10	b10	PROPN
cana-4995	179	21	b11	b11	PROPN
cana-4995	179	22	b12	b12	PROPN
cana-4995	179	23	b20	b20	PROPN
cana-4995	179	24	b21	b21	PROPN
cana-4995	179	25	b22	b22	PROPN
cana-4995	179	26	b10	b10	PROPN
cana-4995	179	27	b11	b11	PROPN
cana-4995	179	28	b12	b12	PROPN
cana-4995	179	29	b20	b20	PROPN
cana-4995	179	30	b21	b21	PROPN
cana-4995	179	31	b22	b22	PROPN
cana-4995	179	32	n=200	n=200	PROPN
cana-4995	179	33	ml	ml	PROPN
cana-4995	179	34	se	se	PROPN
cana-4995	179	35	boot	boot	PROPN
cana-4995	179	36	se	se	PROPN
cana-4995	179	37	communications	communication	NOUN
cana-4995	179	38	on	on	ADP
cana-4995	179	39	applied	apply	VERB
cana-4995	179	40	nonlinear	nonlinear	ADJ
cana-4995	179	41	analysis	analysis	NOUN
cana-4995	179	42	issn	issn	NOUN
cana-4995	179	43	:	:	PUNCT
cana-4995	179	44	1074	1074	NUM
cana-4995	179	45	-	-	PUNCT
cana-4995	179	46	133x	133x	NUM
cana-4995	179	47	vol	vol	NOUN
cana-4995	179	48	31	31	NUM
cana-4995	179	49	no	no	NOUN
cana-4995	179	50	.	.	PUNCT
cana-4995	180	1	8s	8s	PROPN
cana-4995	180	2	(	(	PUNCT
cana-4995	180	3	2024	2024	NUM
cana-4995	180	4	)	)	PUNCT
cana-4995	180	5	884	884	NUM
cana-4995	180	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4995	180	7	the	the	DET
cana-4995	180	8	simulation	simulation	NOUN
cana-4995	180	9	results	result	VERB
cana-4995	180	10	in	in	ADP
cana-4995	180	11	appendix	appendix	NOUN
cana-4995	180	12	(	(	PUNCT
cana-4995	180	13	3	3	NUM
cana-4995	180	14	)	)	PUNCT
cana-4995	180	15	and	and	CCONJ
cana-4995	180	16	figure	figure	NOUN
cana-4995	180	17	(	(	PUNCT
cana-4995	180	18	4	4	X
cana-4995	180	19	)	)	PUNCT
cana-4995	180	20	confirm	confirm	VERB
cana-4995	180	21	that	that	SCONJ
cana-4995	180	22	the	the	DET
cana-4995	180	23	bootstrap	bootstrap	NOUN
cana-4995	180	24	method	method	NOUN
cana-4995	180	25	outperforms	outperform	VERB
cana-4995	180	26	mle	mle	PROPN
cana-4995	180	27	in	in	ADP
cana-4995	180	28	poisson	poisson	PROPN
cana-4995	180	29	sur	sur	PROPN
cana-4995	180	30	systems	system	NOUN
cana-4995	180	31	under	under	ADP
cana-4995	180	32	multicollinearity	multicollinearity	NOUN
cana-4995	180	33	.	.	PUNCT
cana-4995	181	1	across	across	ADP
cana-4995	181	2	all	all	DET
cana-4995	181	3	sample	sample	NOUN
cana-4995	181	4	sizes	size	NOUN
cana-4995	181	5	and	and	CCONJ
cana-4995	181	6	correlation	correlation	NOUN
cana-4995	181	7	levels	level	NOUN
cana-4995	181	8	,	,	PUNCT
cana-4995	181	9	bootstrap	bootstrap	NOUN
cana-4995	181	10	standard	standard	ADJ
cana-4995	181	11	errors	error	NOUN
cana-4995	181	12	(	(	PUNCT
cana-4995	181	13	ses	ses	PROPN
cana-4995	181	14	)	)	PUNCT
cana-4995	181	15	were	be	AUX
cana-4995	181	16	consistently	consistently	ADV
cana-4995	181	17	lower	low	ADJ
cana-4995	181	18	than	than	ADP
cana-4995	181	19	mle	mle	PROPN
cana-4995	181	20	ses	se	NOUN
cana-4995	181	21	,	,	PUNCT
cana-4995	181	22	which	which	PRON
cana-4995	181	23	proves	prove	VERB
cana-4995	181	24	the	the	DET
cana-4995	181	25	bootstrap	bootstrap	NOUN
cana-4995	181	26	’s	’s	PART
cana-4995	181	27	superiority	superiority	NOUN
cana-4995	181	28	and	and	CCONJ
cana-4995	181	29	demonstrates	demonstrate	VERB
cana-4995	181	30	bootstrap	bootstrap	NOUN
cana-4995	181	31	’s	’s	PART
cana-4995	181	32	ability	ability	NOUN
cana-4995	181	33	to	to	PART
cana-4995	181	34	mitigate	mitigate	VERB
cana-4995	181	35	variance	variance	NOUN
cana-4995	181	36	inflation	inflation	NOUN
cana-4995	181	37	caused	cause	VERB
cana-4995	181	38	by	by	ADP
cana-4995	181	39	multicollinearity	multicollinearity	NOUN
cana-4995	181	40	particularly	particularly	ADV
cana-4995	181	41	in	in	ADP
cana-4995	181	42	context	context	NOUN
cana-4995	181	43	of	of	ADP
cana-4995	181	44	poisson	poisson	PROPN
cana-4995	181	45	sur	sur	PROPN
cana-4995	181	46	system	system	NOUN
cana-4995	181	47	.	.	PUNCT
cana-4995	182	1	this	this	DET
cana-4995	182	2	study	study	NOUN
cana-4995	182	3	demonstrates	demonstrate	VERB
cana-4995	182	4	that	that	SCONJ
cana-4995	182	5	the	the	DET
cana-4995	182	6	bootstrap	bootstrap	NOUN
cana-4995	182	7	method	method	NOUN
cana-4995	182	8	significantly	significantly	ADV
cana-4995	182	9	enhances	enhance	VERB
cana-4995	182	10	parameter	parameter	NOUN
cana-4995	182	11	estimation	estimation	NOUN
cana-4995	182	12	in	in	ADP
cana-4995	182	13	poisson	poisson	PROPN
cana-4995	182	14	sur	sur	PROPN
cana-4995	182	15	systems	system	NOUN
cana-4995	182	16	under	under	ADP
cana-4995	182	17	multicollinearity	multicollinearity	NOUN
cana-4995	182	18	,	,	PUNCT
cana-4995	182	19	outperforming	outperform	VERB
cana-4995	182	20	mle	mle	NOUN
cana-4995	182	21	by	by	ADP
cana-4995	182	22	reducing	reduce	VERB
cana-4995	182	23	standard	standard	ADJ
cana-4995	182	24	errors	error	NOUN
cana-4995	182	25	by	by	ADP
cana-4995	182	26	7	7	NUM
cana-4995	182	27	–	–	SYM
cana-4995	182	28	12	12	NUM
cana-4995	182	29	%	%	NOUN
cana-4995	182	30	across	across	ADP
cana-4995	182	31	all	all	DET
cana-4995	182	32	tested	test	VERB
cana-4995	182	33	conditions	condition	NOUN
cana-4995	182	34	.	.	PUNCT
cana-4995	183	1	the	the	DET
cana-4995	183	2	results	result	NOUN
cana-4995	183	3	highlight	highlight	VERB
cana-4995	183	4	bootstrap	bootstrap	NOUN
cana-4995	183	5	’s	’s	PART
cana-4995	183	6	robustness	robustness	NOUN
cana-4995	183	7	in	in	ADP
cana-4995	183	8	small	small	ADJ
cana-4995	183	9	and	and	CCONJ
cana-4995	183	10	large	large	ADJ
cana-4995	183	11	samples	sample	NOUN
cana-4995	183	12	(	(	PUNCT
cana-4995	183	13	n	n	NOUN
cana-4995	183	14	=	=	NUM
cana-4995	183	15	25	25	NUM
cana-4995	183	16	to	to	ADP
cana-4995	183	17	200	200	NUM
cana-4995	183	18	)	)	PUNCT
cana-4995	183	19	,	,	PUNCT
cana-4995	183	20	and	and	CCONJ
cana-4995	183	21	varying	vary	VERB
cana-4995	183	22	multicollinearity	multicollinearity	NOUN
cana-4995	183	23	levels	level	NOUN
cana-4995	183	24	(	(	PUNCT
cana-4995	183	25	r	r	NOUN
cana-4995	183	26	=	=	SYM
cana-4995	183	27	0.75	0.75	NUM
cana-4995	183	28	to	to	ADP
cana-4995	183	29	0.99	0.99	NUM
cana-4995	183	30	)	)	PUNCT
cana-4995	183	31	,	,	PUNCT
cana-4995	183	32	making	make	VERB
cana-4995	183	33	it	it	PRON
cana-4995	183	34	a	a	DET
cana-4995	183	35	valuable	valuable	ADJ
cana-4995	183	36	tool	tool	NOUN
cana-4995	183	37	for	for	ADP
cana-4995	183	38	count	count	NOUN
cana-4995	183	39	data	datum	NOUN
cana-4995	183	40	modeling	modeling	NOUN
cana-4995	183	41	in	in	ADP
cana-4995	183	42	the	the	DET
cana-4995	183	43	presence	presence	NOUN
cana-4995	183	44	of	of	ADP
cana-4995	183	45	collinearity	collinearity	NOUN
cana-4995	183	46	.	.	PUNCT
cana-4995	184	1	references	reference	NOUN
cana-4995	184	2	1	1	NUM
cana-4995	184	3	.	.	X
cana-4995	184	4	adane	adane	PROPN
cana-4995	184	5	,	,	PUNCT
cana-4995	184	6	m.	m.	NOUN
cana-4995	184	7	d.	d.	PROPN
cana-4995	184	8	,	,	PUNCT
cana-4995	184	9	wale	wale	PROPN
cana-4995	184	10	,	,	PUNCT
cana-4995	184	11	t.	t.	PROPN
cana-4995	184	12	,	,	PUNCT
cana-4995	184	13	&	&	CCONJ
cana-4995	184	14	meried	merie	VERB
cana-4995	184	15	,	,	PUNCT
cana-4995	184	16	e.	e.	PROPN
cana-4995	184	17	w.	w.	PROPN
cana-4995	184	18	(	(	PUNCT
cana-4995	184	19	2021	2021	NUM
cana-4995	184	20	)	)	PUNCT
cana-4995	184	21	.	.	PUNCT
cana-4995	185	1	determinants	determinant	NOUN
cana-4995	185	2	of	of	ADP
cana-4995	185	3	automated	automate	VERB
cana-4995	185	4	teller	teller	NOUN
cana-4995	185	5	machine	machine	NOUN
cana-4995	185	6	deployment	deployment	NOUN
cana-4995	185	7	in	in	ADP
cana-4995	185	8	commercial	commercial	ADJ
cana-4995	185	9	banks	bank	NOUN
cana-4995	185	10	of	of	ADP
cana-4995	185	11	ethiopia	ethiopia	PROPN
cana-4995	185	12	.	.	PUNCT
cana-4995	186	1	heliyon	heliyon	PROPN
cana-4995	186	2	,	,	PUNCT
cana-4995	186	3	7(8	7(8	NUM
cana-4995	186	4	)	)	PUNCT
cana-4995	186	5	,	,	PUNCT
cana-4995	186	6	e07712.https://doi.org/10.1016/j.heliyon.2021.e07712	e07712.https://doi.org/10.1016/j.heliyon.2021.e07712	NOUN
cana-4995	186	7	.	.	PUNCT
cana-4995	186	8	available	available	ADJ
cana-4995	186	9	at	at	ADP
cana-4995	186	10	:	:	PUNCT
cana-4995	186	11	https://www.sciencedirect.com/science/article/pii/s2405844021018156	https://www.sciencedirect.com/science/article/pii/s2405844021018156	PROPN
cana-4995	186	12	2	2	X
cana-4995	186	13	.	.	X
cana-4995	186	14	chatterjee	chatterjee	PROPN
cana-4995	186	15	,	,	PUNCT
cana-4995	186	16	s.	s.	PROPN
cana-4995	186	17	,	,	PUNCT
cana-4995	186	18	&	&	CCONJ
cana-4995	186	19	simonoff	simonoff	PROPN
cana-4995	186	20	,	,	PUNCT
cana-4995	186	21	j.	j.	PROPN
cana-4995	186	22	s.	s.	PROPN
cana-4995	186	23	(	(	PUNCT
cana-4995	186	24	2020	2020	NUM
cana-4995	186	25	)	)	PUNCT
cana-4995	186	26	.	.	PUNCT
cana-4995	187	1	handbook	handbook	NOUN
cana-4995	187	2	of	of	ADP
cana-4995	187	3	regression	regression	NOUN
cana-4995	187	4	analysis	analysis	NOUN
cana-4995	187	5	with	with	ADP
cana-4995	187	6	applications	application	NOUN
cana-4995	187	7	in	in	ADP
cana-4995	187	8	r.	r.	PROPN
cana-4995	187	9	john	john	PROPN
cana-4995	187	10	wiley	wiley	PROPN
cana-4995	187	11	&	&	CCONJ
cana-4995	187	12	sons	son	NOUN
cana-4995	187	13	.	.	PUNCT
cana-4995	188	1	p.p	p.p	PROPN
cana-4995	188	2	187	187	NUM
cana-4995	188	3	-	-	SYM
cana-4995	188	4	207	207	NUM
cana-4995	188	5	.	.	PUNCT
cana-4995	189	1	3	3	X
cana-4995	189	2	.	.	X
cana-4995	189	3	efron	efron	PROPN
cana-4995	189	4	,	,	PUNCT
cana-4995	189	5	b.	b.	PROPN
cana-4995	189	6	(	(	PUNCT
cana-4995	189	7	1979	1979	NUM
cana-4995	189	8	)	)	PUNCT
cana-4995	189	9	,	,	PUNCT
cana-4995	189	10	"	"	PUNCT
cana-4995	189	11	bootstrap	bootstrap	NOUN
cana-4995	189	12	methods	method	NOUN
cana-4995	189	13	:	:	PUNCT
cana-4995	189	14	another	another	DET
cana-4995	189	15	look	look	NOUN
cana-4995	189	16	at	at	ADP
cana-4995	189	17	the	the	DET
cana-4995	189	18	jacknife	jacknife	NOUN
cana-4995	189	19	"	"	PUNCT
cana-4995	189	20	,	,	PUNCT
cana-4995	189	21	annals	annal	NOUN
cana-4995	189	22	of	of	ADP
cana-4995	189	23	statistics	statistic	NOUN
cana-4995	189	24	,	,	PUNCT
cana-4995	189	25	7	7	NUM
cana-4995	189	26	,	,	PUNCT
cana-4995	189	27	126	126	NUM
cana-4995	189	28	.	.	NOUN
cana-4995	190	1	4	4	NUM
cana-4995	190	2	.	.	X
cana-4995	190	3	efron	efron	PROPN
cana-4995	190	4	,	,	PUNCT
cana-4995	190	5	b.	b.	PROPN
cana-4995	190	6	and	and	CCONJ
cana-4995	190	7	tibshirani	tibshirani	PROPN
cana-4995	190	8	,	,	PUNCT
cana-4995	190	9	r.j	r.j	PROPN
cana-4995	190	10	.	.	PROPN
cana-4995	190	11	(	(	PUNCT
cana-4995	190	12	1993	1993	NUM
cana-4995	190	13	)	)	PUNCT
cana-4995	190	14	,	,	PUNCT
cana-4995	190	15	an	an	DET
cana-4995	190	16	introduction	introduction	NOUN
cana-4995	190	17	to	to	ADP
cana-4995	190	18	the	the	DET
cana-4995	190	19	bootstrap	bootstrap	NOUN
cana-4995	190	20	.	.	PUNCT
cana-4995	191	1	champman	champman	NOUN
cana-4995	191	2	and	and	CCONJ
cana-4995	191	3	hall	hall	NOUN
cana-4995	191	4	,	,	PUNCT
cana-4995	191	5	newyork	newyork	NOUN
cana-4995	191	6	.	.	PUNCT
cana-4995	192	1	5	5	X
cana-4995	192	2	.	.	X
cana-4995	192	3	evans	evans	PROPN
cana-4995	192	4	,	,	PUNCT
cana-4995	192	5	o.	o.	PROPN
cana-4995	192	6	p.	p.	PROPN
cana-4995	192	7	,	,	PUNCT
cana-4995	192	8	&	&	CCONJ
cana-4995	192	9	adenomon	adenomon	PROPN
cana-4995	192	10	,	,	PUNCT
cana-4995	192	11	m.	m.	NOUN
cana-4995	192	12	o.	o.	PROPN
cana-4995	192	13	(	(	PUNCT
cana-4995	192	14	2014	2014	NUM
cana-4995	192	15	)	)	PUNCT
cana-4995	192	16	.	.	PUNCT
cana-4995	193	1	modeling	model	VERB
cana-4995	193	2	the	the	DET
cana-4995	193	3	prevalence	prevalence	NOUN
cana-4995	193	4	of	of	ADP
cana-4995	193	5	malaria	malaria	NOUN
cana-4995	193	6	in	in	ADP
cana-4995	193	7	niger	niger	NOUN
cana-4995	193	8	state	state	NOUN
cana-4995	193	9	:	:	PUNCT
cana-4995	193	10	an	an	DET
cana-4995	193	11	application	application	NOUN
cana-4995	193	12	of	of	ADP
cana-4995	193	13	poisson	poisson	PROPN
cana-4995	193	14	regression	regression	NOUN
cana-4995	193	15	and	and	CCONJ
cana-4995	193	16	negative	negative	ADJ
cana-4995	193	17	binomial	binomial	ADJ
cana-4995	193	18	regression	regression	NOUN
cana-4995	193	19	models	model	NOUN
cana-4995	193	20	.	.	PUNCT
cana-4995	194	1	int	int	NOUN
cana-4995	194	2	.	.	PUNCT
cana-4995	195	1	j.	j.	PROPN
cana-4995	195	2	phys	phys	PROPN
cana-4995	195	3	.	.	PUNCT
cana-4995	196	1	sci	sci	PROPN
cana-4995	196	2	,	,	PUNCT
cana-4995	196	3	2	2	NUM
cana-4995	196	4	,	,	PUNCT
cana-4995	196	5	61	61	NUM
cana-4995	196	6	-	-	SYM
cana-4995	196	7	68	68	NUM
cana-4995	196	8	.	.	PUNCT
cana-4995	197	1	6	6	NUM
cana-4995	197	2	.	.	X
cana-4995	198	1	freedman	freedman	PROPN
cana-4995	198	2	,	,	PUNCT
cana-4995	198	3	d.a	d.a	PROPN
cana-4995	198	4	.	.	PROPN
cana-4995	198	5	,	,	PUNCT
cana-4995	198	6	(	(	PUNCT
cana-4995	198	7	1981	1981	NUM
cana-4995	198	8	)	)	PUNCT
cana-4995	198	9	,	,	PUNCT
cana-4995	198	10	"	"	PUNCT
cana-4995	198	11	bootstrapping	bootstrappe	VERB
cana-4995	198	12	regression	regression	NOUN
cana-4995	198	13	models	model	NOUN
cana-4995	198	14	"	"	PUNCT
cana-4995	198	15	,	,	PUNCT
cana-4995	198	16	annals	annal	NOUN
cana-4995	198	17	of	of	ADP
cana-4995	198	18	statistics	statistic	NOUN
cana-4995	198	19	,	,	PUNCT
cana-4995	198	20	9	9	NUM
cana-4995	198	21	,	,	PUNCT
cana-4995	198	22	1218	1218	NUM
cana-4995	198	23	-	-	SYM
cana-4995	198	24	1228	1228	NUM
cana-4995	198	25	.	.	PUNCT
cana-4995	199	1	7	7	X
cana-4995	199	2	.	.	X
cana-4995	199	3	halawa	halawa	PROPN
cana-4995	199	4	,	,	PUNCT
cana-4995	199	5	a.m.	a.m.	ADV
cana-4995	199	6	,	,	PUNCT
cana-4995	199	7	and	and	CCONJ
cana-4995	199	8	azzam	azzam	PROPN
cana-4995	199	9	,	,	PUNCT
cana-4995	199	10	a.h	a.h	PROPN
cana-4995	199	11	.	.	PROPN
cana-4995	199	12	(	(	PUNCT
cana-4995	199	13	1995	1995	NUM
cana-4995	199	14	)	)	PUNCT
cana-4995	199	15	,	,	PUNCT
cana-4995	199	16	"	"	PUNCT
cana-4995	199	17	a	a	DET
cana-4995	199	18	new	new	ADJ
cana-4995	199	19	method	method	NOUN
cana-4995	199	20	of	of	ADP
cana-4995	199	21	generating	generate	VERB
cana-4995	199	22	the	the	DET
cana-4995	199	23	design	design	NOUN
cana-4995	199	24	matrix	matrix	NOUN
cana-4995	199	25	of	of	ADP
cana-4995	199	26	linear	linear	PROPN
cana-4995	199	27	regression	regression	NOUN
cana-4995	199	28	models	model	NOUN
cana-4995	199	29	"	"	PUNCT
cana-4995	199	30	,	,	PUNCT
cana-4995	199	31	the	the	DET
cana-4995	199	32	egyptian	egyptian	ADJ
cana-4995	199	33	statistical	statistical	ADJ
cana-4995	199	34	journal	journal	NOUN
cana-4995	199	35	,	,	PUNCT
cana-4995	199	36	issr	issr	PROPN
cana-4995	199	37	,	,	PUNCT
cana-4995	199	38	cairo	cairo	PROPN
cana-4995	199	39	university	university	PROPN
cana-4995	199	40	,	,	PUNCT
cana-4995	199	41	39	39	NUM
cana-4995	199	42	,	,	PUNCT
cana-4995	199	43	106119	106119	NUM
cana-4995	199	44	.	.	PUNCT
cana-4995	200	1	8	8	X
cana-4995	200	2	.	.	X
cana-4995	201	1	khan	khan	PROPN
cana-4995	201	2	,	,	PUNCT
cana-4995	201	3	a.	a.	PROPN
cana-4995	201	4	,	,	PUNCT
cana-4995	201	5	amanullah	amanullah	PROPN
cana-4995	201	6	,	,	PUNCT
cana-4995	201	7	m.	m.	NOUN
cana-4995	201	8	,	,	PUNCT
cana-4995	201	9	aljohani	aljohani	PROPN
cana-4995	201	10	,	,	PUNCT
cana-4995	201	11	h.	h.	PROPN
cana-4995	201	12	m.	m.	PROPN
cana-4995	201	13	,	,	PUNCT
cana-4995	201	14	&	&	CCONJ
cana-4995	201	15	mubarak	mubarak	PROPN
cana-4995	201	16	,	,	PUNCT
cana-4995	201	17	s.	s.	PROPN
cana-4995	201	18	a.	a.	PROPN
cana-4995	201	19	(	(	PUNCT
cana-4995	201	20	2021	2021	NUM
cana-4995	201	21	)	)	PUNCT
cana-4995	201	22	.	.	PUNCT
cana-4995	202	1	influence	influence	NOUN
cana-4995	202	2	diagnostics	diagnostic	NOUN
cana-4995	202	3	for	for	ADP
cana-4995	202	4	the	the	DET
cana-4995	202	5	poisson	poisson	PROPN
cana-4995	202	6	regression	regression	NOUN
cana-4995	202	7	model	model	NOUN
cana-4995	202	8	using	use	VERB
cana-4995	202	9	two	two	NUM
cana-4995	202	10	-	-	PUNCT
cana-4995	202	11	parameter	parameter	NOUN
cana-4995	202	12	estimator	estimator	NOUN
cana-4995	202	13	.	.	PUNCT
cana-4995	203	1	alexandria	alexandria	PROPN
cana-4995	203	2	engineering	engineering	PROPN
cana-4995	203	3	journal	journal	PROPN
cana-4995	203	4	,	,	PUNCT
cana-4995	203	5	60(5	60(5	NOUN
cana-4995	203	6	)	)	PUNCT
cana-4995	203	7	,	,	PUNCT
cana-4995	203	8	4745	4745	NUM
cana-4995	203	9	-	-	SYM
cana-4995	203	10	4759	4759	NUM
cana-4995	203	11	.	.	PUNCT
cana-4995	204	1	9	9	X
cana-4995	204	2	.	.	X
cana-4995	204	3	lavery	lavery	PROPN
cana-4995	204	4	,	,	PUNCT
cana-4995	204	5	m.	m.	PROPN
cana-4995	204	6	r.	r.	PROPN
cana-4995	204	7	,	,	PUNCT
cana-4995	204	8	acharya	acharya	PROPN
cana-4995	204	9	,	,	PUNCT
cana-4995	204	10	p.	p.	PROPN
cana-4995	204	11	,	,	PUNCT
cana-4995	204	12	sivo	sivo	PROPN
cana-4995	204	13	,	,	PUNCT
cana-4995	204	14	s.	s.	PROPN
cana-4995	204	15	a.	a.	PROPN
cana-4995	204	16	,	,	PUNCT
cana-4995	204	17	&	&	CCONJ
cana-4995	204	18	xu	xu	PROPN
cana-4995	204	19	,	,	PUNCT
cana-4995	204	20	l.	l.	PROPN
cana-4995	204	21	(	(	PUNCT
cana-4995	204	22	2019	2019	NUM
cana-4995	204	23	)	)	PUNCT
cana-4995	204	24	.	.	PUNCT
cana-4995	205	1	number	number	NOUN
cana-4995	205	2	of	of	ADP
cana-4995	205	3	predictors	predictor	NOUN
cana-4995	205	4	and	and	CCONJ
cana-4995	205	5	multicollinearity	multicollinearity	NOUN
cana-4995	205	6	:	:	PUNCT
cana-4995	205	7	what	what	PRON
cana-4995	205	8	are	be	AUX
cana-4995	205	9	their	their	PRON
cana-4995	205	10	effects	effect	NOUN
cana-4995	205	11	on	on	ADP
cana-4995	205	12	error	error	NOUN
cana-4995	205	13	and	and	CCONJ
cana-4995	205	14	bias	bias	NOUN
cana-4995	205	15	in	in	ADP
cana-4995	205	16	regression	regression	NOUN
cana-4995	205	17	?	?	PUNCT
cana-4995	205	18	.	.	PUNCT
cana-4995	206	1	communications	communication	NOUN
cana-4995	206	2	in	in	ADP
cana-4995	206	3	statistics	statistic	NOUN
cana-4995	206	4	-	-	PUNCT
cana-4995	206	5	simulation	simulation	NOUN
cana-4995	206	6	and	and	CCONJ
cana-4995	206	7	computation	computation	NOUN
cana-4995	206	8	,	,	PUNCT
cana-4995	206	9	48(1	48(1	NOUN
cana-4995	206	10	)	)	PUNCT
cana-4995	206	11	,	,	PUNCT
cana-4995	206	12	27	27	NUM
cana-4995	206	13	-	-	SYM
cana-4995	206	14	38	38	NUM
cana-4995	206	15	.	.	PUNCT
cana-4995	207	1	https://doi.org/10.1016/j.heliyon.2021.e07712	https://doi.org/10.1016/j.heliyon.2021.e07712	PROPN
cana-4995	207	2	https://www.sciencedirect.com/science/article/pii/s2405844021018156	https://www.sciencedirect.com/science/article/pii/s2405844021018156	ADJ
cana-4995	207	3	communications	communication	NOUN
cana-4995	207	4	on	on	ADP
cana-4995	207	5	applied	apply	VERB
cana-4995	207	6	nonlinear	nonlinear	ADJ
cana-4995	207	7	analysis	analysis	NOUN
cana-4995	207	8	issn	issn	NOUN
cana-4995	207	9	:	:	PUNCT
cana-4995	207	10	1074	1074	NUM
cana-4995	207	11	-	-	PUNCT
cana-4995	207	12	133x	133x	NUM
cana-4995	207	13	vol	vol	NOUN
cana-4995	207	14	31	31	NUM
cana-4995	207	15	no	no	NOUN
cana-4995	207	16	.	.	PUNCT
cana-4995	208	1	8s	8s	PROPN
cana-4995	208	2	(	(	PUNCT
cana-4995	208	3	2024	2024	NUM
cana-4995	208	4	)	)	PUNCT
cana-4995	208	5	885	885	NUM
cana-4995	208	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4995	208	7	10	10	NUM
cana-4995	208	8	.	.	PUNCT
cana-4995	209	1	nelder	nelder	PROPN
cana-4995	209	2	,	,	PUNCT
cana-4995	209	3	j.	j.	PROPN
cana-4995	209	4	a.	a.	PROPN
cana-4995	209	5	,	,	PUNCT
cana-4995	209	6	&	&	CCONJ
cana-4995	209	7	wedderburn	wedderburn	PROPN
cana-4995	209	8	,	,	PUNCT
cana-4995	209	9	r.	r.	PROPN
cana-4995	209	10	w.	w.	PROPN
cana-4995	209	11	(	(	PUNCT
cana-4995	209	12	1972	1972	NUM
cana-4995	209	13	)	)	PUNCT
cana-4995	209	14	.	.	PUNCT
cana-4995	210	1	generalized	generalize	VERB
cana-4995	210	2	linear	linear	ADJ
cana-4995	210	3	models	model	NOUN
cana-4995	210	4	.	.	PUNCT
cana-4995	211	1	journal	journal	NOUN
cana-4995	211	2	of	of	ADP
cana-4995	211	3	the	the	DET
cana-4995	211	4	royal	royal	ADJ
cana-4995	211	5	statistical	statistical	ADJ
cana-4995	211	6	society	society	NOUN
cana-4995	211	7	:	:	PUNCT
cana-4995	211	8	series	series	PROPN
cana-4995	211	9	a	a	PRON
cana-4995	211	10	(	(	PUNCT
cana-4995	211	11	general	general	ADJ
cana-4995	211	12	)	)	PUNCT
cana-4995	211	13	,	,	PUNCT
cana-4995	211	14	135(3	135(3	NUM
cana-4995	211	15	)	)	PUNCT
cana-4995	211	16	,	,	PUNCT
cana-4995	211	17	370	370	NUM
cana-4995	211	18	-	-	SYM
cana-4995	211	19	384	384	NUM
cana-4995	211	20	.	.	PUNCT
cana-4995	211	21	11	11	NUM
cana-4995	211	22	.	.	PUNCT
cana-4995	212	1	youssef	youssef	PROPN
cana-4995	212	2	,	,	PUNCT
cana-4995	212	3	a.	a.	PROPN
cana-4995	212	4	h.	h.	PROPN
cana-4995	212	5	,	,	PUNCT
cana-4995	212	6	mohamed	mohamed	PROPN
cana-4995	212	7	,	,	PUNCT
cana-4995	212	8	e.	e.	PROPN
cana-4995	212	9	s.	s.	PROPN
cana-4995	212	10	,	,	PUNCT
cana-4995	212	11	&	&	CCONJ
cana-4995	212	12	latif	latif	PROPN
cana-4995	212	13	,	,	PUNCT
cana-4995	212	14	s.	s.	PROPN
cana-4995	212	15	h.	h.	PROPN
cana-4995	212	16	a.	a.	PROPN
cana-4995	212	17	(	(	PUNCT
cana-4995	212	18	2023	2023	NUM
cana-4995	212	19	)	)	PUNCT
cana-4995	212	20	.	.	PUNCT
cana-4995	213	1	handling	handle	VERB
cana-4995	213	2	multi	multi	ADJ
cana-4995	213	3	-	-	NOUN
cana-4995	213	4	collinearity	collinearity	NOUN
cana-4995	213	5	using	use	VERB
cana-4995	213	6	principal	principal	ADJ
cana-4995	213	7	component	component	NOUN
cana-4995	213	8	analysis	analysis	NOUN
cana-4995	213	9	with	with	ADP
cana-4995	213	10	the	the	DET
cana-4995	213	11	panel	panel	NOUN
cana-4995	213	12	data	datum	NOUN
cana-4995	213	13	model	model	NOUN
cana-4995	213	14	.	.	PUNCT
cana-4995	214	1	eureka	eureka	PROPN
cana-4995	214	2	:	:	PUNCT
cana-4995	214	3	physics	physics	NOUN
cana-4995	214	4	and	and	CCONJ
cana-4995	214	5	engineering	engineering	NOUN
cana-4995	214	6	,	,	PUNCT
cana-4995	214	7	(	(	PUNCT
cana-4995	214	8	1	1	NUM
cana-4995	214	9	)	)	PUNCT
cana-4995	214	10	,	,	PUNCT
cana-4995	214	11	177	177	NUM
cana-4995	214	12	-	-	SYM
cana-4995	214	13	188	188	NUM
cana-4995	214	14	.	.	PUNCT
cana-4995	215	1	appendices	appendix	NOUN
cana-4995	215	2	appendix	appendix	VERB
cana-4995	215	3	1	1	NUM
cana-4995	215	4	:	:	PUNCT
cana-4995	215	5	simulated	simulate	VERB
cana-4995	215	6	data	datum	NOUN
cana-4995	215	7	for	for	ADP
cana-4995	215	8	n=25	n=25	PROPN
cana-4995	215	9	r	r	NOUN
cana-4995	215	10	=	=	SYM
cana-4995	215	11	0.75	0.75	NUM
cana-4995	215	12	r	r	NOUN
cana-4995	215	13	=	=	SYM
cana-4995	215	14	0.85	0.85	NUM
cana-4995	215	15	r	r	NOUN
cana-4995	215	16	=	=	SYM
cana-4995	215	17	0.95	0.95	NUM
cana-4995	215	18	r	r	NOUN
cana-4995	215	19	=	=	NOUN
cana-4995	215	20	0.99	0.99	NUM
cana-4995	216	1	y	y	NOUN
cana-4995	217	1	x1	x1	NOUN
cana-4995	218	1	x2	x2	NOUN
cana-4995	219	1	y	y	PROPN
cana-4995	220	1	x1	x1	NUM
cana-4995	221	1	x2	x2	NOUN
cana-4995	222	1	y	y	PROPN
cana-4995	223	1	x1	x1	NUM
cana-4995	224	1	x2	x2	NOUN
cana-4995	225	1	y	y	PROPN
cana-4995	225	2	x1	x1	NUM
cana-4995	225	3	x2	x2	PROPN
cana-4995	225	4	3	3	NUM
cana-4995	225	5	0.10653	0.10653	NUM
cana-4995	225	6	1619	1619	NUM
cana-4995	225	7	0.15733	0.15733	NUM
cana-4995	225	8	0487	0487	NUM
cana-4995	225	9	6	6	NUM
cana-4995	225	10	0.05317	0.05317	NUM
cana-4995	225	11	9478	9478	NUM
cana-4995	225	12	0.19849	0.19849	NUM
cana-4995	225	13	5716	5716	NUM
cana-4995	225	14	3	3	NUM
cana-4995	225	15	0.09032	0.09032	NUM
cana-4995	225	16	343	343	NUM
cana-4995	225	17	0.13814	0.13814	NUM
cana-4995	225	18	7663	7663	NUM
cana-4995	225	19	1	1	NUM
cana-4995	225	20	0.34803	0.34803	NUM
cana-4995	225	21	9296	9296	NUM
cana-4995	225	22	0.35618	0.35618	NUM
cana-4995	225	23	1363	1363	NUM
cana-4995	225	24	3	3	NUM
cana-4995	225	25	0.02634	0.02634	NUM
cana-4995	225	26	9772	9772	NUM
cana-4995	225	27	0.25128	0.25128	NUM
cana-4995	225	28	3042	3042	NUM
cana-4995	225	29	3	3	NUM
cana-4995	225	30	0.12017	0.12017	NUM
cana-4995	225	31	201	201	NUM
cana-4995	225	32	0.04111	0.04111	NUM
cana-4995	225	33	233	233	NUM
cana-4995	225	34	7	7	NUM
cana-4995	225	35	0.18197	0.18197	NUM
cana-4995	225	36	5303	5303	NUM
cana-4995	225	37	0.25845	0.25845	NUM
cana-4995	225	38	9902	9902	NUM
cana-4995	225	39	3	3	NUM
cana-4995	225	40	0.04678	0.04678	NUM
cana-4995	225	41	961	961	NUM
cana-4995	225	42	0.05462	0.05462	NUM
cana-4995	225	43	5893	5893	NUM
cana-4995	225	44	3	3	NUM
cana-4995	225	45	0.05143	0.05143	NUM
cana-4995	225	46	8081	8081	NUM
cana-4995	225	47	0.08582	0.08582	NUM
cana-4995	225	48	0295	0295	NUM
cana-4995	225	49	2	2	NUM
cana-4995	225	50	0.09045	0.09045	NUM
cana-4995	225	51	2887	2887	NUM
cana-4995	225	52	0.23153	0.23153	NUM
cana-4995	225	53	1684	1684	NUM
cana-4995	225	54	2	2	NUM
cana-4995	225	55	0.05828	0.05828	NUM
cana-4995	225	56	7099	7099	NUM
cana-4995	225	57	0.00791	0.00791	NUM
cana-4995	225	58	3686	3686	NUM
cana-4995	225	59	3	3	NUM
cana-4995	225	60	0.09873	0.09873	NUM
cana-4995	225	61	8501	8501	NUM
cana-4995	225	62	0.08080	0.08080	NUM
cana-4995	225	63	3219	3219	NUM
cana-4995	225	64	4	4	NUM
cana-4995	225	65	0.10479	0.10479	NUM
cana-4995	225	66	2273	2273	NUM
cana-4995	225	67	0.19103	0.19103	NUM
cana-4995	225	68	1974	1974	NUM
cana-4995	225	69	1	1	NUM
cana-4995	225	70	0.33867	0.33867	NUM
cana-4995	225	71	9779	9779	NUM
cana-4995	225	72	0.41615	0.41615	NUM
cana-4995	225	73	3083	3083	NUM
cana-4995	225	74	5	5	NUM
cana-4995	225	75	0.07062	0.07062	NUM
cana-4995	225	76	1685	1685	NUM
cana-4995	225	77	0.05373	0.05373	NUM
cana-4995	225	78	935	935	NUM
cana-4995	225	79	5	5	NUM
cana-4995	225	80	0.18068	0.18068	NUM
cana-4995	225	81	3332	3332	NUM
cana-4995	225	82	0.18657	0.18657	NUM
cana-4995	225	83	7754	7754	NUM
cana-4995	225	84	2	2	NUM
cana-4995	225	85	0.17517	0.17517	NUM
cana-4995	225	86	3044	3044	NUM
cana-4995	225	87	0.37533	0.37533	NUM
cana-4995	225	88	0899	0899	NUM
cana-4995	225	89	5	5	NUM
cana-4995	225	90	0.08962	0.08962	NUM
cana-4995	225	91	3269	3269	NUM
cana-4995	225	92	0.01117	0.01117	NUM
cana-4995	225	93	0385	0385	NUM
cana-4995	225	94	4	4	NUM
cana-4995	225	95	0.10940	0.10940	NUM
cana-4995	225	96	3009	3009	NUM
cana-4995	225	97	0.16856	0.16856	NUM
cana-4995	225	98	1759	1759	NUM
cana-4995	225	99	2	2	NUM
cana-4995	225	100	0.17006	0.17006	NUM
cana-4995	225	101	8155	8155	NUM
cana-4995	225	102	0.20796	0.20796	NUM
cana-4995	225	103	8393	8393	NUM
cana-4995	225	104	3	3	NUM
cana-4995	225	105	0.25914	0.25914	NUM
cana-4995	225	106	2401	2401	NUM
cana-4995	226	1	0.49927	0.49927	NUM
cana-4995	226	2	6353	6353	NUM
cana-4995	226	3	3	3	NUM
cana-4995	226	4	0.20605	0.20605	NUM
cana-4995	226	5	2163	2163	NUM
cana-4995	226	6	0.26936	0.26936	NUM
cana-4995	226	7	7091	7091	NUM
cana-4995	226	8	3	3	NUM
cana-4995	226	9	0.28748	0.28748	NUM
cana-4995	226	10	0474	0474	NUM
cana-4995	226	11	0.22129	0.22129	NUM
cana-4995	226	12	1219	1219	NUM
cana-4995	226	13	1	1	NUM
cana-4995	226	14	0.39666	0.39666	NUM
cana-4995	226	15	7473	7473	NUM
cana-4995	226	16	0.35248	0.35248	NUM
cana-4995	226	17	1502	1502	NUM
cana-4995	226	18	1	1	NUM
cana-4995	226	19	0.02175	0.02175	NUM
cana-4995	226	20	2349	2349	NUM
cana-4995	226	21	0.10858	0.10858	NUM
cana-4995	226	22	4595	4595	NUM
cana-4995	226	23	4	4	NUM
cana-4995	226	24	0.14276	0.14276	NUM
cana-4995	226	25	5959	5959	NUM
cana-4995	226	26	0.17007	0.17007	NUM
cana-4995	226	27	9319	9319	NUM
cana-4995	226	28	2	2	NUM
cana-4995	226	29	0.29270	0.29270	NUM
cana-4995	226	30	1055	1055	NUM
cana-4995	226	31	0.30187	0.30187	NUM
cana-4995	226	32	4529	4529	NUM
cana-4995	226	33	1	1	NUM
cana-4995	226	34	0.12512	0.12512	NUM
cana-4995	226	35	2467	2467	NUM
cana-4995	226	36	0.15048	0.15048	NUM
cana-4995	226	37	5411	5411	NUM
cana-4995	226	38	2	2	NUM
cana-4995	226	39	0.15983	0.15983	NUM
cana-4995	226	40	6889	6889	NUM
cana-4995	226	41	0.05384	0.05384	NUM
cana-4995	226	42	6433	6433	NUM
cana-4995	226	43	3	3	NUM
cana-4995	226	44	0.02671	0.02671	NUM
cana-4995	226	45	8609	8609	NUM
cana-4995	226	46	0.01639	0.01639	NUM
cana-4995	226	47	4445	4445	NUM
cana-4995	226	48	5	5	NUM
cana-4995	226	49	0.11617	0.11617	NUM
cana-4995	226	50	1269	1269	NUM
cana-4995	226	51	0.12905	0.12905	NUM
cana-4995	226	52	1023	1023	NUM
cana-4995	226	53	5	5	NUM
cana-4995	226	54	0.13133	0.13133	NUM
cana-4995	226	55	3388	3388	NUM
cana-4995	226	56	0.13381	0.13381	NUM
cana-4995	226	57	4739	4739	NUM
cana-4995	226	58	2	2	NUM
cana-4995	226	59	0.19043	0.19043	NUM
cana-4995	226	60	7842	7842	NUM
cana-4995	226	61	0.04342	0.04342	NUM
cana-4995	226	62	9391	9391	NUM
cana-4995	226	63	4	4	NUM
cana-4995	226	64	0.19157	0.19157	NUM
cana-4995	226	65	0623	0623	NUM
cana-4995	226	66	0.28835	0.28835	NUM
cana-4995	226	67	4347	4347	NUM
cana-4995	226	68	4	4	NUM
cana-4995	226	69	0.12602	0.12602	NUM
cana-4995	226	70	0585	0585	NUM
cana-4995	226	71	0.04645	0.04645	NUM
cana-4995	226	72	0538	0538	NUM
cana-4995	226	73	2	2	NUM
cana-4995	226	74	0.00245	0.00245	NUM
cana-4995	226	75	7581	7581	NUM
cana-4995	226	76	0.01251	0.01251	NUM
cana-4995	226	77	221	221	NUM
cana-4995	226	78	5	5	NUM
cana-4995	226	79	0.05202	0.05202	NUM
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cana-4995	226	136	0.06001	0.06001	NUM
cana-4995	226	137	9184	9184	NUM
cana-4995	226	138	communications	communication	NOUN
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cana-4995	226	144	:	:	PUNCT
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cana-4995	226	146	-	-	PUNCT
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cana-4995	226	151	.	.	PUNCT
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cana-4995	227	2	(	(	PUNCT
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cana-4995	227	4	)	)	PUNCT
cana-4995	227	5	886	886	NUM
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cana-4995	227	7	4	4	NUM
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cana-4995	227	11	625	625	NUM
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cana-4995	227	14	8506	8506	NUM
cana-4995	227	15	0.36848	0.36848	NUM
cana-4995	227	16	3039	3039	NUM
cana-4995	227	17	2	2	NUM
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cana-4995	227	19	7008	7008	NUM
cana-4995	227	20	0.18198	0.18198	NUM
cana-4995	227	21	8757	8757	NUM
cana-4995	227	22	1	1	NUM
cana-4995	227	23	0.07719	0.07719	NUM
cana-4995	227	24	3816	3816	NUM
cana-4995	227	25	0.06471	0.06471	NUM
cana-4995	227	26	0388	0388	NUM
cana-4995	227	27	0	0	NUM
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cana-4995	227	29	5794	5794	NUM
cana-4995	227	30	0.12795	0.12795	NUM
cana-4995	227	31	0861	0861	NUM
cana-4995	227	32	2	2	NUM
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cana-4995	227	34	3943	3943	NUM
cana-4995	227	35	0.03271	0.03271	NUM
cana-4995	227	36	1911	1911	NUM
cana-4995	227	37	3	3	NUM
cana-4995	227	38	0.26759	0.26759	NUM
cana-4995	227	39	9133	9133	NUM
cana-4995	227	40	0.32207	0.32207	NUM
cana-4995	227	41	3169	3169	NUM
cana-4995	227	42	3	3	NUM
cana-4995	227	43	0.33671	0.33671	NUM
cana-4995	227	44	2074	2074	NUM
cana-4995	227	45	0.34740	0.34740	NUM
cana-4995	227	46	3824	3824	NUM
cana-4995	227	47	5	5	NUM
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cana-4995	227	49	9985	9985	NUM
cana-4995	227	50	0.15936	0.15936	NUM
cana-4995	227	51	7525	7525	NUM
cana-4995	227	52	4	4	NUM
cana-4995	227	53	0.11856	0.11856	NUM
cana-4995	227	54	8984	8984	NUM
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cana-4995	227	56	2259	2259	NUM
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cana-4995	227	59	831	831	NUM
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cana-4995	227	61	5182	5182	NUM
cana-4995	227	62	3	3	NUM
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cana-4995	227	64	4437	4437	NUM
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cana-4995	227	66	368	368	NUM
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cana-4995	227	69	7602	7602	NUM
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cana-4995	227	71	8867	8867	NUM
cana-4995	227	72	4	4	NUM
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cana-4995	227	76	812	812	NUM
cana-4995	227	77	3	3	NUM
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cana-4995	227	79	6262	6262	NUM
cana-4995	227	80	0.14007	0.14007	NUM
cana-4995	227	81	151	151	NUM
cana-4995	227	82	3	3	NUM
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cana-4995	227	84	803	803	NUM
cana-4995	227	85	0.23156	0.23156	NUM
cana-4995	227	86	3226	3226	NUM
cana-4995	227	87	3	3	NUM
cana-4995	227	88	0.40506	0.40506	NUM
cana-4995	227	89	7429	7429	NUM
cana-4995	227	90	0.27442	0.27442	NUM
cana-4995	227	91	8003	8003	NUM
cana-4995	227	92	1	1	NUM
cana-4995	227	93	0.29852	0.29852	NUM
cana-4995	227	94	1789	1789	NUM
cana-4995	227	95	0.31761	0.31761	NUM
cana-4995	227	96	3561	3561	NUM
cana-4995	227	97	3	3	NUM
cana-4995	227	98	0.04452	0.04452	NUM
cana-4995	227	99	7098	7098	NUM
cana-4995	227	100	0.02119	0.02119	NUM
cana-4995	227	101	5712	5712	NUM
cana-4995	227	102	1	1	NUM
cana-4995	227	103	0.38022	0.38022	NUM
cana-4995	227	104	5602	5602	NUM
cana-4995	227	105	0.40236	0.40236	NUM
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cana-4995	227	107	1	1	NUM
cana-4995	227	108	0.18632	0.18632	NUM
cana-4995	227	109	2583	2583	NUM
cana-4995	227	110	0.21783	0.21783	NUM
cana-4995	227	111	7393	7393	NUM
cana-4995	227	112	2	2	NUM
cana-4995	227	113	0.38112	0.38112	NUM
cana-4995	227	114	4876	4876	NUM
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cana-4995	227	117	1	1	NUM
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cana-4995	227	119	9628	9628	NUM
cana-4995	227	120	0.27648	0.27648	NUM
cana-4995	227	121	7885	7885	NUM
cana-4995	227	122	6	6	NUM
cana-4995	227	123	0.21368	0.21368	NUM
cana-4995	227	124	6839	6839	NUM
cana-4995	227	125	0.17331	0.17331	NUM
cana-4995	227	126	5686	5686	NUM
cana-4995	227	127	2	2	NUM
cana-4995	227	128	0.02656	0.02656	NUM
cana-4995	227	129	1579	1579	NUM
cana-4995	227	130	0.12903	0.12903	NUM
cana-4995	227	131	7165	7165	NUM
cana-4995	227	132	4	4	NUM
cana-4995	227	133	0.29619	0.29619	NUM
cana-4995	227	134	4486	4486	NUM
cana-4995	227	135	0.06982	0.06982	NUM
cana-4995	227	136	8249	8249	NUM
cana-4995	227	137	3	3	NUM
cana-4995	227	138	0.16792	0.16792	NUM
cana-4995	227	139	3491	3491	NUM
cana-4995	227	140	0.04445	0.04445	NUM
cana-4995	227	141	925	925	NUM
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cana-4995	228	82	:	:	PUNCT
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cana-4995	228	93	:	:	PUNCT
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cana-4995	228	136	:	:	PUNCT
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