id	sid	tid	token	lemma	pos
ejpam-797	1	1	likelihood	likelihood	NOUN
ejpam-797	1	2	ratio	ratio	NOUN
ejpam-797	1	3	tests	test	NOUN
ejpam-797	1	4	on	on	ADP
ejpam-797	1	5	cointegrating	cointegrate	VERB
ejpam-797	1	6	vectors	vector	NOUN
ejpam-797	1	7	,	,	PUNCT
ejpam-797	1	8	their	their	PRON
ejpam-797	1	9	disequilibrium	disequilibrium	NOUN
ejpam-797	1	10	adjustment	adjustment	NOUN
ejpam-797	1	11	vectors	vector	NOUN
ejpam-797	1	12	,	,	PUNCT
ejpam-797	1	13	and	and	CCONJ
ejpam-797	1	14	their	their	PRON
ejpam-797	1	15	orthogonal	orthogonal	ADJ
ejpam-797	1	16	complements	complement	NOUN
ejpam-797	1	17	european	european	ADJ
ejpam-797	1	18	journal	journal	PROPN
ejpam-797	1	19	of	of	ADP
ejpam-797	1	20	pure	pure	ADJ
ejpam-797	1	21	and	and	CCONJ
ejpam-797	1	22	applied	apply	VERB
ejpam-797	1	23	mathematics	mathematic	NOUN
ejpam-797	1	24	vol	vol	NOUN
ejpam-797	1	25	.	.	PUNCT
ejpam-797	2	1	3	3	NUM
ejpam-797	2	2	,	,	PUNCT
ejpam-797	2	3	no	no	INTJ
ejpam-797	2	4	.	.	NOUN
ejpam-797	2	5	3	3	NUM
ejpam-797	2	6	,	,	PUNCT
ejpam-797	2	7	2010	2010	NUM
ejpam-797	2	8	,	,	PUNCT
ejpam-797	2	9	541	541	NUM
ejpam-797	2	10	-	-	SYM
ejpam-797	2	11	571	571	NUM
ejpam-797	2	12	issn	issn	PROPN
ejpam-797	2	13	1307	1307	NUM
ejpam-797	2	14	-	-	SYM
ejpam-797	2	15	5543	5543	NUM
ejpam-797	2	16	–	–	PUNCT
ejpam-797	2	17	www.ejpam.com	www.ejpam.com	X
ejpam-797	2	18	email	email	NOUN
ejpam-797	2	19	address	address	NOUN
ejpam-797	2	20	:	:	PUNCT
ejpam-797	2	21	norman.j.morin@frb.gov	norman.j.morin@frb.gov	NOUN
ejpam-797	2	22	*	*	DET
ejpam-797	2	23	the	the	DET
ejpam-797	2	24	opinions	opinion	NOUN
ejpam-797	2	25	expressed	express	VERB
ejpam-797	2	26	are	be	AUX
ejpam-797	2	27	those	those	PRON
ejpam-797	2	28	of	of	ADP
ejpam-797	2	29	the	the	DET
ejpam-797	2	30	author	author	NOUN
ejpam-797	2	31	and	and	CCONJ
ejpam-797	2	32	not	not	PART
ejpam-797	2	33	necessarily	necessarily	ADV
ejpam-797	2	34	those	those	PRON
ejpam-797	2	35	of	of	ADP
ejpam-797	2	36	the	the	DET
ejpam-797	2	37	board	board	NOUN
ejpam-797	2	38	of	of	ADP
ejpam-797	2	39	governors	governor	NOUN
ejpam-797	2	40	of	of	ADP
ejpam-797	2	41	the	the	DET
ejpam-797	2	42	federal	federal	PROPN
ejpam-797	2	43	reserve	reserve	NOUN
ejpam-797	2	44	system	system	NOUN
ejpam-797	2	45	or	or	CCONJ
ejpam-797	2	46	its	its	PRON
ejpam-797	2	47	staff	staff	NOUN
ejpam-797	2	48	.	.	PUNCT
ejpam-797	2	49	http://www.ejpam.com	http://www.ejpam.com	X
ejpam-797	3	1	541	541	NUM
ejpam-797	4	1	©	©	PROPN
ejpam-797	4	2	2010	2010	NUM
ejpam-797	4	3	ejpam	ejpam	VERB
ejpam-797	4	4	all	all	DET
ejpam-797	4	5	rights	right	NOUN
ejpam-797	4	6	reserved	reserve	VERB
ejpam-797	4	7	.	.	PUNCT
ejpam-797	5	1	special	special	ADJ
ejpam-797	5	2	issue	issue	NOUN
ejpam-797	5	3	on	on	ADP
ejpam-797	5	4	granger	granger	PROPN
ejpam-797	5	5	econometrics	econometric	NOUN
ejpam-797	5	6	and	and	CCONJ
ejpam-797	5	7	statistical	statistical	ADJ
ejpam-797	5	8	modeling	modeling	NOUN
ejpam-797	5	9	dedicated	dedicate	VERB
ejpam-797	5	10	to	to	ADP
ejpam-797	5	11	the	the	DET
ejpam-797	5	12	memory	memory	NOUN
ejpam-797	5	13	of	of	ADP
ejpam-797	5	14	prof	prof	NOUN
ejpam-797	5	15	.	.	PUNCT
ejpam-797	6	1	sir	sir	PROPN
ejpam-797	6	2	clive	clive	PROPN
ejpam-797	6	3	w.j	w.j	PROPN
ejpam-797	6	4	.	.	PROPN
ejpam-797	7	1	granger	granger	PROPN
ejpam-797	7	2	likelihood	likelihood	PROPN
ejpam-797	7	3	ratio	ratio	NOUN
ejpam-797	7	4	tests	test	NOUN
ejpam-797	7	5	on	on	ADP
ejpam-797	7	6	cointegrating	cointegrate	VERB
ejpam-797	7	7	vectors	vector	NOUN
ejpam-797	7	8	,	,	PUNCT
ejpam-797	7	9	disequilibrium	disequilibrium	NOUN
ejpam-797	7	10	adjustment	adjustment	NOUN
ejpam-797	7	11	vectors	vector	NOUN
ejpam-797	7	12	,	,	PUNCT
ejpam-797	7	13	and	and	CCONJ
ejpam-797	7	14	their	their	PRON
ejpam-797	7	15	orthogonal	orthogonal	ADJ
ejpam-797	7	16	complements	complement	NOUN
ejpam-797	7	17	norman	norman	PROPN
ejpam-797	7	18	morin	morin	PROPN
ejpam-797	7	19	*	*	PROPN
ejpam-797	7	20	division	division	NOUN
ejpam-797	7	21	of	of	ADP
ejpam-797	7	22	research	research	NOUN
ejpam-797	7	23	and	and	CCONJ
ejpam-797	7	24	statistics	statistic	NOUN
ejpam-797	7	25	,	,	PUNCT
ejpam-797	7	26	federal	federal	PROPN
ejpam-797	7	27	reserve	reserve	PROPN
ejpam-797	7	28	board	board	PROPN
ejpam-797	7	29	,	,	PUNCT
ejpam-797	7	30	washington	washington	PROPN
ejpam-797	7	31	,	,	PUNCT
ejpam-797	7	32	dc	dc	PROPN
ejpam-797	7	33	,	,	PUNCT
ejpam-797	7	34	usa	usa	PROPN
ejpam-797	7	35	abstract	abstract	PROPN
ejpam-797	7	36	.	.	PUNCT
ejpam-797	8	1	cointegration	cointegration	NOUN
ejpam-797	8	2	theory	theory	NOUN
ejpam-797	8	3	provides	provide	VERB
ejpam-797	8	4	a	a	DET
ejpam-797	8	5	flexible	flexible	ADJ
ejpam-797	8	6	class	class	NOUN
ejpam-797	8	7	of	of	ADP
ejpam-797	8	8	statistical	statistical	ADJ
ejpam-797	8	9	models	model	NOUN
ejpam-797	8	10	that	that	PRON
ejpam-797	8	11	combine	combine	VERB
ejpam-797	8	12	long	long	ADV
ejpam-797	8	13	-	-	PUNCT
ejpam-797	8	14	run	run	NOUN
ejpam-797	8	15	(	(	PUNCT
ejpam-797	8	16	cointegrating	cointegrate	VERB
ejpam-797	8	17	)	)	PUNCT
ejpam-797	8	18	relationships	relationship	NOUN
ejpam-797	8	19	and	and	CCONJ
ejpam-797	8	20	short	short	ADJ
ejpam-797	8	21	-	-	PUNCT
ejpam-797	8	22	run	run	NOUN
ejpam-797	8	23	dynamics	dynamic	NOUN
ejpam-797	8	24	.	.	PUNCT
ejpam-797	9	1	this	this	DET
ejpam-797	9	2	paper	paper	NOUN
ejpam-797	9	3	presents	present	VERB
ejpam-797	9	4	three	three	NUM
ejpam-797	9	5	likelihood	likelihood	NOUN
ejpam-797	9	6	ratio	ratio	NOUN
ejpam-797	9	7	(	(	PUNCT
ejpam-797	9	8	lr	lr	NOUN
ejpam-797	9	9	)	)	PUNCT
ejpam-797	9	10	tests	test	NOUN
ejpam-797	9	11	for	for	ADP
ejpam-797	9	12	simultaneously	simultaneously	ADV
ejpam-797	9	13	testing	test	VERB
ejpam-797	9	14	restrictions	restriction	NOUN
ejpam-797	9	15	on	on	ADP
ejpam-797	9	16	cointegrating	cointegrate	VERB
ejpam-797	9	17	relationships	relationship	NOUN
ejpam-797	9	18	and	and	CCONJ
ejpam-797	9	19	on	on	ADP
ejpam-797	9	20	how	how	SCONJ
ejpam-797	9	21	quickly	quickly	ADV
ejpam-797	9	22	each	each	DET
ejpam-797	9	23	variable	variable	NOUN
ejpam-797	9	24	in	in	ADP
ejpam-797	9	25	the	the	DET
ejpam-797	9	26	system	system	NOUN
ejpam-797	9	27	reacts	react	VERB
ejpam-797	9	28	to	to	ADP
ejpam-797	9	29	the	the	DET
ejpam-797	9	30	deviation	deviation	NOUN
ejpam-797	9	31	from	from	ADP
ejpam-797	9	32	equilibrium	equilibrium	NOUN
ejpam-797	9	33	implied	imply	VERB
ejpam-797	9	34	by	by	ADP
ejpam-797	9	35	the	the	DET
ejpam-797	9	36	cointegrating	cointegrate	VERB
ejpam-797	9	37	relationships	relationship	NOUN
ejpam-797	9	38	.	.	PUNCT
ejpam-797	10	1	both	both	CCONJ
ejpam-797	10	2	the	the	DET
ejpam-797	10	3	orthogonal	orthogonal	ADJ
ejpam-797	10	4	complements	complement	NOUN
ejpam-797	10	5	of	of	ADP
ejpam-797	10	6	the	the	DET
ejpam-797	10	7	cointegrating	cointegrate	VERB
ejpam-797	10	8	vectors	vector	NOUN
ejpam-797	10	9	and	and	CCONJ
ejpam-797	10	10	of	of	ADP
ejpam-797	10	11	the	the	DET
ejpam-797	10	12	vectors	vector	NOUN
ejpam-797	10	13	of	of	ADP
ejpam-797	10	14	adjustment	adjustment	NOUN
ejpam-797	10	15	speeds	speed	NOUN
ejpam-797	10	16	have	have	AUX
ejpam-797	10	17	been	be	AUX
ejpam-797	10	18	used	use	VERB
ejpam-797	10	19	to	to	PART
ejpam-797	10	20	define	define	VERB
ejpam-797	10	21	the	the	DET
ejpam-797	10	22	common	common	ADJ
ejpam-797	10	23	stochastic	stochastic	ADJ
ejpam-797	10	24	trends	trend	NOUN
ejpam-797	10	25	of	of	ADP
ejpam-797	10	26	a	a	DET
ejpam-797	10	27	nonstationary	nonstationary	ADJ
ejpam-797	10	28	system	system	NOUN
ejpam-797	10	29	.	.	PUNCT
ejpam-797	11	1	the	the	DET
ejpam-797	11	2	restrictions	restriction	NOUN
ejpam-797	11	3	implicitly	implicitly	ADV
ejpam-797	11	4	placed	place	VERB
ejpam-797	11	5	on	on	ADP
ejpam-797	11	6	the	the	DET
ejpam-797	11	7	orthogonal	orthogonal	ADJ
ejpam-797	11	8	complements	complement	NOUN
ejpam-797	11	9	of	of	ADP
ejpam-797	11	10	the	the	DET
ejpam-797	11	11	cointegrating	cointegrate	VERB
ejpam-797	11	12	vectors	vector	NOUN
ejpam-797	11	13	and	and	CCONJ
ejpam-797	11	14	of	of	ADP
ejpam-797	11	15	the	the	DET
ejpam-797	11	16	adjustment	adjustment	NOUN
ejpam-797	11	17	speeds	speed	NOUN
ejpam-797	11	18	are	be	AUX
ejpam-797	11	19	identified	identify	VERB
ejpam-797	11	20	for	for	ADP
ejpam-797	11	21	a	a	DET
ejpam-797	11	22	class	class	NOUN
ejpam-797	11	23	of	of	ADP
ejpam-797	11	24	lr	lr	NOUN
ejpam-797	11	25	tests	test	NOUN
ejpam-797	11	26	,	,	PUNCT
ejpam-797	11	27	including	include	VERB
ejpam-797	11	28	those	those	PRON
ejpam-797	11	29	developed	develop	VERB
ejpam-797	11	30	in	in	ADP
ejpam-797	11	31	this	this	DET
ejpam-797	11	32	paper	paper	NOUN
ejpam-797	11	33	.	.	PUNCT
ejpam-797	12	1	it	it	PRON
ejpam-797	12	2	is	be	AUX
ejpam-797	12	3	shown	show	VERB
ejpam-797	12	4	how	how	SCONJ
ejpam-797	12	5	these	these	DET
ejpam-797	12	6	tests	test	NOUN
ejpam-797	12	7	can	can	AUX
ejpam-797	12	8	be	be	AUX
ejpam-797	12	9	interpreted	interpret	VERB
ejpam-797	12	10	as	as	ADP
ejpam-797	12	11	tests	test	NOUN
ejpam-797	12	12	for	for	ADP
ejpam-797	12	13	restrictions	restriction	NOUN
ejpam-797	12	14	on	on	ADP
ejpam-797	12	15	the	the	DET
ejpam-797	12	16	orthogonal	orthogonal	ADJ
ejpam-797	12	17	complements	complement	NOUN
ejpam-797	12	18	of	of	ADP
ejpam-797	12	19	the	the	DET
ejpam-797	12	20	cointegrating	cointegrate	VERB
ejpam-797	12	21	relationships	relationship	NOUN
ejpam-797	12	22	and	and	CCONJ
ejpam-797	12	23	of	of	ADP
ejpam-797	12	24	their	their	PRON
ejpam-797	12	25	adjustment	adjustment	NOUN
ejpam-797	12	26	vectors	vector	NOUN
ejpam-797	12	27	,	,	PUNCT
ejpam-797	12	28	which	which	PRON
ejpam-797	12	29	allow	allow	VERB
ejpam-797	12	30	one	one	PRON
ejpam-797	12	31	to	to	PART
ejpam-797	12	32	combine	combine	VERB
ejpam-797	12	33	and	and	CCONJ
ejpam-797	12	34	test	test	VERB
ejpam-797	12	35	for	for	ADP
ejpam-797	12	36	economically	economically	ADV
ejpam-797	12	37	meaningful	meaningful	ADJ
ejpam-797	12	38	restrictions	restriction	NOUN
ejpam-797	12	39	on	on	ADP
ejpam-797	12	40	cointegrating	cointegrate	VERB
ejpam-797	12	41	relationships	relationship	NOUN
ejpam-797	12	42	and	and	CCONJ
ejpam-797	12	43	on	on	ADP
ejpam-797	12	44	common	common	ADJ
ejpam-797	12	45	stochastic	stochastic	ADJ
ejpam-797	12	46	trends	trend	NOUN
ejpam-797	12	47	.	.	PUNCT
ejpam-797	13	1	2000	2000	NUM
ejpam-797	13	2	mathematics	mathematic	NOUN
ejpam-797	13	3	subject	subject	NOUN
ejpam-797	13	4	classifications	classification	NOUN
ejpam-797	13	5	:	:	PUNCT
ejpam-797	13	6	62h12	62h12	NUM
ejpam-797	13	7	,	,	PUNCT
ejpam-797	13	8	62h15	62h15	ADJ
ejpam-797	13	9	key	key	ADJ
ejpam-797	13	10	words	word	NOUN
ejpam-797	13	11	and	and	CCONJ
ejpam-797	13	12	phrases	phrase	NOUN
ejpam-797	13	13	:	:	PUNCT
ejpam-797	13	14	cointegration	cointegration	NOUN
ejpam-797	13	15	,	,	PUNCT
ejpam-797	13	16	common	common	ADJ
ejpam-797	13	17	stochastic	stochastic	ADJ
ejpam-797	13	18	trend	trend	NOUN
ejpam-797	13	19	,	,	PUNCT
ejpam-797	13	20	likelihood	likelihood	NOUN
ejpam-797	13	21	ratio	ratio	NOUN
ejpam-797	13	22	tests	test	NOUN
ejpam-797	13	23	1	1	NUM
ejpam-797	13	24	.	.	PUNCT
ejpam-797	13	25	introduction	introduction	NOUN
ejpam-797	13	26	since	since	SCONJ
ejpam-797	13	27	its	its	PRON
ejpam-797	13	28	introduction	introduction	NOUN
ejpam-797	13	29	by	by	ADP
ejpam-797	13	30	granger	granger	PROPN
ejpam-797	13	31	[	[	X
ejpam-797	13	32	14,15	14,15	NUM
ejpam-797	13	33	]	]	PUNCT
ejpam-797	13	34	cointegration	cointegration	NOUN
ejpam-797	13	35	has	have	AUX
ejpam-797	13	36	become	become	VERB
ejpam-797	13	37	a	a	DET
ejpam-797	13	38	widely	widely	ADV
ejpam-797	13	39	investigated	investigate	VERB
ejpam-797	13	40	and	and	CCONJ
ejpam-797	13	41	extensively	extensively	ADV
ejpam-797	13	42	used	use	VERB
ejpam-797	13	43	tool	tool	NOUN
ejpam-797	13	44	in	in	ADP
ejpam-797	13	45	multivariate	multivariate	NOUN
ejpam-797	13	46	time	time	NOUN
ejpam-797	13	47	series	series	PROPN
ejpam-797	13	48	analysis	analysis	NOUN
ejpam-797	13	49	.	.	PUNCT
ejpam-797	14	1	cointegrated	cointegrate	VERB
ejpam-797	14	2	n.	n.	PROPN
ejpam-797	14	3	morin	morin	PROPN
ejpam-797	14	4	/	/	SYM
ejpam-797	14	5	eur	eur	PROPN
ejpam-797	14	6	.	.	PUNCT
ejpam-797	15	1	j.	j.	PROPN
ejpam-797	15	2	pure	pure	PROPN
ejpam-797	15	3	appl	appl	PROPN
ejpam-797	15	4	.	.	PUNCT
ejpam-797	16	1	math	math	NOUN
ejpam-797	16	2	542	542	NUM
ejpam-797	16	3	models	model	NOUN
ejpam-797	16	4	combine	combine	VERB
ejpam-797	16	5	short	short	ADJ
ejpam-797	16	6	-	-	PUNCT
ejpam-797	16	7	run	run	NOUN
ejpam-797	16	8	dynamics	dynamic	NOUN
ejpam-797	16	9	and	and	CCONJ
ejpam-797	16	10	long	long	ADV
ejpam-797	16	11	-	-	PUNCT
ejpam-797	16	12	run	run	NOUN
ejpam-797	16	13	relationships	relationship	NOUN
ejpam-797	16	14	in	in	ADP
ejpam-797	16	15	a	a	DET
ejpam-797	16	16	framework	framework	NOUN
ejpam-797	16	17	that	that	PRON
ejpam-797	16	18	lends	lend	VERB
ejpam-797	16	19	itself	itself	PRON
ejpam-797	16	20	to	to	ADP
ejpam-797	16	21	investigating	investigate	VERB
ejpam-797	16	22	these	these	DET
ejpam-797	16	23	features	feature	NOUN
ejpam-797	16	24	in	in	ADP
ejpam-797	16	25	economic	economic	ADJ
ejpam-797	16	26	data	datum	NOUN
ejpam-797	16	27	.	.	PUNCT
ejpam-797	17	1	the	the	DET
ejpam-797	17	2	relationship	relationship	NOUN
ejpam-797	17	3	between	between	ADP
ejpam-797	17	4	cointegrated	cointegrate	VERB
ejpam-797	17	5	systems	system	NOUN
ejpam-797	17	6	,	,	PUNCT
ejpam-797	17	7	their	their	PRON
ejpam-797	17	8	vector	vector	NOUN
ejpam-797	17	9	autoregressive	autoregressive	ADJ
ejpam-797	17	10	(	(	PUNCT
ejpam-797	17	11	var	var	NOUN
ejpam-797	17	12	)	)	PUNCT
ejpam-797	17	13	and	and	CCONJ
ejpam-797	17	14	vector	vector	NOUN
ejpam-797	17	15	moving	move	VERB
ejpam-797	17	16	-	-	PUNCT
ejpam-797	17	17	average	average	NOUN
ejpam-797	17	18	representations	representation	NOUN
ejpam-797	17	19	,	,	PUNCT
ejpam-797	17	20	and	and	CCONJ
ejpam-797	17	21	vector	vector	NOUN
ejpam-797	17	22	error	error	NOUN
ejpam-797	17	23	-	-	PUNCT
ejpam-797	17	24	correction	correction	NOUN
ejpam-797	17	25	models	model	NOUN
ejpam-797	17	26	(	(	PUNCT
ejpam-797	17	27	vecm	vecm	NOUN
ejpam-797	17	28	)	)	PUNCT
ejpam-797	17	29	were	be	AUX
ejpam-797	17	30	developed	develop	VERB
ejpam-797	17	31	by	by	ADP
ejpam-797	17	32	granger	granger	PROPN
ejpam-797	17	33	in	in	ADP
ejpam-797	17	34	[	[	X
ejpam-797	17	35	14,15	14,15	NUM
ejpam-797	17	36	]	]	PUNCT
ejpam-797	17	37	and	and	CCONJ
ejpam-797	17	38	by	by	ADP
ejpam-797	17	39	engle	engle	PROPN
ejpam-797	17	40	and	and	CCONJ
ejpam-797	17	41	granger	granger	PROPN
ejpam-797	17	42	in	in	ADP
ejpam-797	17	43	[	[	X
ejpam-797	17	44	7	7	NUM
ejpam-797	17	45	]	]	PUNCT
ejpam-797	17	46	.	.	PUNCT
ejpam-797	18	1	in	in	ADP
ejpam-797	18	2	a	a	DET
ejpam-797	18	3	cointegrated	cointegrate	VERB
ejpam-797	18	4	system	system	NOUN
ejpam-797	18	5	of	of	ADP
ejpam-797	18	6	time	time	NOUN
ejpam-797	18	7	series	series	PROPN
ejpam-797	18	8	,	,	PUNCT
ejpam-797	18	9	the	the	DET
ejpam-797	18	10	cointegrating	cointegrate	VERB
ejpam-797	18	11	vectors	vector	NOUN
ejpam-797	18	12	can	can	AUX
ejpam-797	18	13	be	be	AUX
ejpam-797	18	14	interpreted	interpret	VERB
ejpam-797	18	15	as	as	ADP
ejpam-797	18	16	the	the	DET
ejpam-797	18	17	long	long	ADV
ejpam-797	18	18	-	-	PUNCT
ejpam-797	18	19	run	run	VERB
ejpam-797	18	20	equilibrium	equilibrium	NOUN
ejpam-797	18	21	relationships	relationship	NOUN
ejpam-797	18	22	among	among	ADP
ejpam-797	18	23	the	the	DET
ejpam-797	18	24	variables	variable	NOUN
ejpam-797	18	25	towards	towards	ADP
ejpam-797	18	26	which	which	PRON
ejpam-797	18	27	the	the	DET
ejpam-797	18	28	system	system	NOUN
ejpam-797	18	29	will	will	AUX
ejpam-797	18	30	tend	tend	VERB
ejpam-797	18	31	to	to	PART
ejpam-797	18	32	be	be	AUX
ejpam-797	18	33	drawn	draw	VERB
ejpam-797	18	34	.	.	PUNCT
ejpam-797	19	1	economic	economic	ADJ
ejpam-797	19	2	theories	theory	NOUN
ejpam-797	19	3	and	and	CCONJ
ejpam-797	19	4	economic	economic	ADJ
ejpam-797	19	5	models	model	NOUN
ejpam-797	19	6	may	may	AUX
ejpam-797	19	7	imply	imply	VERB
ejpam-797	19	8	long	long	ADV
ejpam-797	19	9	-	-	PUNCT
ejpam-797	19	10	run	run	NOUN
ejpam-797	19	11	relationships	relationship	NOUN
ejpam-797	19	12	among	among	ADP
ejpam-797	19	13	variables	variable	NOUN
ejpam-797	19	14	.	.	PUNCT
ejpam-797	20	1	certain	certain	ADJ
ejpam-797	20	2	ratios	ratio	NOUN
ejpam-797	20	3	or	or	CCONJ
ejpam-797	20	4	spreads	spread	VERB
ejpam-797	20	5	between	between	ADP
ejpam-797	20	6	nonstationary	nonstationary	ADJ
ejpam-797	20	7	variables	variable	NOUN
ejpam-797	20	8	are	be	AUX
ejpam-797	20	9	expected	expect	VERB
ejpam-797	20	10	to	to	PART
ejpam-797	20	11	be	be	AUX
ejpam-797	20	12	stationary	stationary	ADJ
ejpam-797	20	13	,	,	PUNCT
ejpam-797	20	14	that	that	ADV
ejpam-797	20	15	is	is	ADV
ejpam-797	20	16	,	,	PUNCT
ejpam-797	20	17	these	these	DET
ejpam-797	20	18	variables	variable	NOUN
ejpam-797	20	19	are	be	AUX
ejpam-797	20	20	cointegrated	cointegrate	VERB
ejpam-797	20	21	with	with	ADP
ejpam-797	20	22	given	give	VERB
ejpam-797	20	23	cointegrating	cointegrate	VERB
ejpam-797	20	24	vectors	vector	NOUN
ejpam-797	20	25	.	.	PUNCT
ejpam-797	21	1	for	for	ADP
ejpam-797	21	2	example	example	NOUN
ejpam-797	21	3	,	,	PUNCT
ejpam-797	21	4	neoclassical	neoclassical	ADJ
ejpam-797	21	5	growth	growth	NOUN
ejpam-797	21	6	models	model	NOUN
ejpam-797	21	7	imply	imply	VERB
ejpam-797	21	8	“	"	PUNCT
ejpam-797	21	9	balanced	balanced	ADJ
ejpam-797	21	10	growth	growth	NOUN
ejpam-797	21	11	”	"	PUNCT
ejpam-797	21	12	among	among	ADP
ejpam-797	21	13	income	income	NOUN
ejpam-797	21	14	,	,	PUNCT
ejpam-797	21	15	consumption	consumption	NOUN
ejpam-797	21	16	,	,	PUNCT
ejpam-797	21	17	and	and	CCONJ
ejpam-797	21	18	investment	investment	NOUN
ejpam-797	21	19	(	(	PUNCT
ejpam-797	21	20	for	for	ADP
ejpam-797	21	21	example	example	NOUN
ejpam-797	21	22	[	[	X
ejpam-797	21	23	29	29	NUM
ejpam-797	21	24	,	,	PUNCT
ejpam-797	21	25	41	41	NUM
ejpam-797	21	26	]	]	PUNCT
ejpam-797	21	27	)	)	PUNCT
ejpam-797	21	28	,	,	PUNCT
ejpam-797	21	29	implying	imply	VERB
ejpam-797	21	30	that	that	SCONJ
ejpam-797	21	31	their	their	PRON
ejpam-797	21	32	ratios	ratio	NOUN
ejpam-797	21	33	are	be	AUX
ejpam-797	21	34	meanreverting	meanreverting	ADJ
ejpam-797	21	35	.	.	PUNCT
ejpam-797	22	1	other	other	ADJ
ejpam-797	22	2	theories	theory	NOUN
ejpam-797	22	3	,	,	PUNCT
ejpam-797	22	4	rather	rather	ADV
ejpam-797	22	5	than	than	ADP
ejpam-797	22	6	implying	imply	VERB
ejpam-797	22	7	given	give	VERB
ejpam-797	22	8	ratios	ratio	NOUN
ejpam-797	22	9	or	or	CCONJ
ejpam-797	22	10	spreads	spread	NOUN
ejpam-797	22	11	are	be	AUX
ejpam-797	22	12	cointegrated	cointegrate	VERB
ejpam-797	22	13	,	,	PUNCT
ejpam-797	22	14	may	may	AUX
ejpam-797	22	15	imply	imply	VERB
ejpam-797	22	16	that	that	SCONJ
ejpam-797	22	17	some	some	DET
ejpam-797	22	18	linear	linear	ADJ
ejpam-797	22	19	combinations	combination	NOUN
ejpam-797	22	20	of	of	ADP
ejpam-797	22	21	the	the	DET
ejpam-797	22	22	variables	variable	NOUN
ejpam-797	22	23	are	be	AUX
ejpam-797	22	24	stationary	stationary	ADJ
ejpam-797	22	25	,	,	PUNCT
ejpam-797	22	26	that	that	ADV
ejpam-797	22	27	is	is	ADV
ejpam-797	22	28	,	,	PUNCT
ejpam-797	22	29	the	the	DET
ejpam-797	22	30	variables	variable	NOUN
ejpam-797	22	31	are	be	AUX
ejpam-797	22	32	cointegrated	cointegrate	VERB
ejpam-797	22	33	without	without	ADP
ejpam-797	22	34	specifying	specify	VERB
ejpam-797	22	35	the	the	DET
ejpam-797	22	36	cointegrating	cointegrate	VERB
ejpam-797	22	37	relationships	relationship	NOUN
ejpam-797	22	38	(	(	PUNCT
ejpam-797	22	39	for	for	ADP
ejpam-797	22	40	example	example	NOUN
ejpam-797	23	1	[	[	X
ejpam-797	23	2	25	25	NUM
ejpam-797	23	3	]	]	PUNCT
ejpam-797	23	4	)	)	PUNCT
ejpam-797	23	5	.	.	PUNCT
ejpam-797	24	1	johansen	johansen	PROPN
ejpam-797	24	2	’s	’s	PART
ejpam-797	24	3	maximum	maximum	ADJ
ejpam-797	24	4	likelihood	likelihood	NOUN
ejpam-797	24	5	approach	approach	NOUN
ejpam-797	24	6	to	to	ADP
ejpam-797	24	7	cointegrated	cointegrate	VERB
ejpam-797	24	8	models	model	NOUN
ejpam-797	24	9	[	[	X
ejpam-797	24	10	19	19	NUM
ejpam-797	24	11	]	]	PUNCT
ejpam-797	24	12	provides	provide	VERB
ejpam-797	24	13	an	an	DET
ejpam-797	24	14	efficient	efficient	ADJ
ejpam-797	24	15	procedure	procedure	NOUN
ejpam-797	24	16	for	for	ADP
ejpam-797	24	17	the	the	DET
ejpam-797	24	18	estimation	estimation	NOUN
ejpam-797	24	19	of	of	ADP
ejpam-797	24	20	cointegrated	cointegrate	VERB
ejpam-797	24	21	systems	system	NOUN
ejpam-797	24	22	and	and	CCONJ
ejpam-797	24	23	provides	provide	VERB
ejpam-797	24	24	a	a	DET
ejpam-797	24	25	useful	useful	ADJ
ejpam-797	24	26	framework	framework	NOUN
ejpam-797	24	27	in	in	ADP
ejpam-797	24	28	which	which	PRON
ejpam-797	24	29	to	to	PART
ejpam-797	24	30	test	test	VERB
ejpam-797	24	31	restrictions	restriction	NOUN
ejpam-797	24	32	of	of	ADP
ejpam-797	24	33	the	the	DET
ejpam-797	24	34	sorts	sort	NOUN
ejpam-797	24	35	mentioned	mention	VERB
ejpam-797	24	36	above	above	ADV
ejpam-797	24	37	.	.	PUNCT
ejpam-797	25	1	for	for	ADP
ejpam-797	25	2	example	example	NOUN
ejpam-797	25	3	,	,	PUNCT
ejpam-797	25	4	johansen	johansen	PROPN
ejpam-797	26	1	[	[	X
ejpam-797	26	2	19	19	NUM
ejpam-797	26	3	,	,	PUNCT
ejpam-797	26	4	21	21	NUM
ejpam-797	26	5	]	]	PUNCT
ejpam-797	26	6	and	and	CCONJ
ejpam-797	26	7	johansen	johansen	PROPN
ejpam-797	26	8	and	and	CCONJ
ejpam-797	26	9	juselius	juselius	NOUN
ejpam-797	27	1	[	[	X
ejpam-797	27	2	25	25	NUM
ejpam-797	27	3	,	,	PUNCT
ejpam-797	27	4	26	26	NUM
ejpam-797	27	5	]	]	PUNCT
ejpam-797	27	6	derive	derive	ADJ
ejpam-797	27	7	likelihood	likelihood	NOUN
ejpam-797	27	8	ratio	ratio	NOUN
ejpam-797	27	9	tests	test	NOUN
ejpam-797	27	10	for	for	ADP
ejpam-797	27	11	various	various	ADJ
ejpam-797	27	12	structural	structural	ADJ
ejpam-797	27	13	hypotheses	hypothesis	NOUN
ejpam-797	27	14	concerning	concern	VERB
ejpam-797	27	15	the	the	DET
ejpam-797	27	16	cointegrating	cointegrate	VERB
ejpam-797	27	17	relationships	relationship	NOUN
ejpam-797	27	18	and	and	CCONJ
ejpam-797	27	19	the	the	DET
ejpam-797	27	20	speed	speed	NOUN
ejpam-797	27	21	of	of	ADP
ejpam-797	27	22	adjustment	adjustment	NOUN
ejpam-797	27	23	to	to	ADP
ejpam-797	27	24	the	the	DET
ejpam-797	27	25	disequilibrium	disequilibrium	NOUN
ejpam-797	27	26	implied	imply	VERB
ejpam-797	27	27	by	by	ADP
ejpam-797	27	28	the	the	DET
ejpam-797	27	29	cointegrating	cointegrate	VERB
ejpam-797	27	30	relationships	relationship	NOUN
ejpam-797	27	31	(	(	PUNCT
ejpam-797	27	32	or	or	CCONJ
ejpam-797	27	33	weights	weight	NOUN
ejpam-797	27	34	)	)	PUNCT
ejpam-797	27	35	;	;	PUNCT
ejpam-797	27	36	konishi	konishi	PROPN
ejpam-797	27	37	and	and	CCONJ
ejpam-797	27	38	granger	granger	PROPN
ejpam-797	28	1	[	[	X
ejpam-797	28	2	30	30	NUM
ejpam-797	28	3	]	]	PUNCT
ejpam-797	28	4	use	use	NOUN
ejpam-797	28	5	this	this	DET
ejpam-797	28	6	approach	approach	NOUN
ejpam-797	28	7	to	to	PART
ejpam-797	28	8	derive	derive	VERB
ejpam-797	28	9	and	and	CCONJ
ejpam-797	28	10	test	test	VERB
ejpam-797	28	11	for	for	ADP
ejpam-797	28	12	separation	separation	NOUN
ejpam-797	28	13	cointegration	cointegration	NOUN
ejpam-797	28	14	,	,	PUNCT
ejpam-797	28	15	and	and	CCONJ
ejpam-797	28	16	gonzalo	gonzalo	PROPN
ejpam-797	28	17	and	and	CCONJ
ejpam-797	28	18	granger	granger	PROPN
ejpam-797	29	1	[	[	X
ejpam-797	29	2	12	12	NUM
ejpam-797	29	3	]	]	PUNCT
ejpam-797	29	4	use	use	VERB
ejpam-797	29	5	this	this	DET
ejpam-797	29	6	framework	framework	NOUN
ejpam-797	29	7	for	for	ADP
ejpam-797	29	8	estimation	estimation	NOUN
ejpam-797	29	9	of	of	ADP
ejpam-797	29	10	and	and	CCONJ
ejpam-797	29	11	testing	test	VERB
ejpam-797	29	12	for	for	ADP
ejpam-797	29	13	their	their	PRON
ejpam-797	29	14	multivariate	multivariate	NOUN
ejpam-797	29	15	version	version	NOUN
ejpam-797	29	16	of	of	ADP
ejpam-797	29	17	quah	quah	NOUN
ejpam-797	29	18	’s	’s	PART
ejpam-797	29	19	[	[	X
ejpam-797	29	20	37	37	NUM
ejpam-797	29	21	]	]	PUNCT
ejpam-797	29	22	permanent	permanent	ADJ
ejpam-797	29	23	and	and	CCONJ
ejpam-797	29	24	transitory	transitory	ADJ
ejpam-797	29	25	(	(	PUNCT
ejpam-797	29	26	p	p	NOUN
ejpam-797	29	27	-	-	PUNCT
ejpam-797	29	28	t	t	NOUN
ejpam-797	29	29	)	)	PUNCT
ejpam-797	29	30	decomposition	decomposition	NOUN
ejpam-797	29	31	.	.	PUNCT
ejpam-797	30	1	further	far	ADV
ejpam-797	30	2	,	,	PUNCT
ejpam-797	30	3	building	build	VERB
ejpam-797	30	4	on	on	ADP
ejpam-797	30	5	the	the	DET
ejpam-797	30	6	univariate	univariate	ADJ
ejpam-797	30	7	work	work	NOUN
ejpam-797	30	8	of	of	ADP
ejpam-797	30	9	beveridge	beveridge	NOUN
ejpam-797	30	10	and	and	CCONJ
ejpam-797	30	11	nelson	nelson	NOUN
ejpam-797	31	1	[	[	X
ejpam-797	31	2	1	1	X
ejpam-797	31	3	]	]	PUNCT
ejpam-797	31	4	and	and	CCONJ
ejpam-797	31	5	the	the	DET
ejpam-797	31	6	multivariate	multivariate	NOUN
ejpam-797	31	7	generalization	generalization	NOUN
ejpam-797	31	8	by	by	ADP
ejpam-797	31	9	stock	stock	NOUN
ejpam-797	31	10	and	and	CCONJ
ejpam-797	31	11	watson	watson	NOUN
ejpam-797	31	12	[	[	X
ejpam-797	31	13	42	42	NUM
ejpam-797	31	14	]	]	PUNCT
ejpam-797	31	15	,	,	PUNCT
ejpam-797	31	16	cointegration	cointegration	NOUN
ejpam-797	31	17	analysis	analysis	NOUN
ejpam-797	31	18	may	may	AUX
ejpam-797	31	19	be	be	AUX
ejpam-797	31	20	used	use	VERB
ejpam-797	31	21	to	to	PART
ejpam-797	31	22	decompose	decompose	VERB
ejpam-797	31	23	a	a	DET
ejpam-797	31	24	system	system	NOUN
ejpam-797	31	25	of	of	ADP
ejpam-797	31	26	variables	variable	NOUN
ejpam-797	31	27	into	into	ADP
ejpam-797	31	28	permanent	permanent	ADJ
ejpam-797	31	29	components	component	NOUN
ejpam-797	31	30	(	(	PUNCT
ejpam-797	31	31	based	base	VERB
ejpam-797	31	32	on	on	ADP
ejpam-797	31	33	the	the	DET
ejpam-797	31	34	variables	variable	NOUN
ejpam-797	31	35	’	'	PUNCT
ejpam-797	31	36	common	common	ADJ
ejpam-797	31	37	stochastic	stochastic	ADJ
ejpam-797	31	38	trends	trend	NOUN
ejpam-797	31	39	)	)	PUNCT
ejpam-797	31	40	and	and	CCONJ
ejpam-797	31	41	temporary	temporary	ADJ
ejpam-797	31	42	(	(	PUNCT
ejpam-797	31	43	or	or	CCONJ
ejpam-797	31	44	cyclical	cyclical	ADJ
ejpam-797	31	45	)	)	PUNCT
ejpam-797	31	46	components	component	NOUN
ejpam-797	31	47	.	.	PUNCT
ejpam-797	32	1	several	several	ADJ
ejpam-797	32	2	methods	method	NOUN
ejpam-797	32	3	have	have	AUX
ejpam-797	32	4	been	be	AUX
ejpam-797	32	5	proposed	propose	VERB
ejpam-797	32	6	to	to	PART
ejpam-797	32	7	separate	separate	VERB
ejpam-797	32	8	cointegrated	cointegrate	VERB
ejpam-797	32	9	systems	system	NOUN
ejpam-797	32	10	into	into	ADP
ejpam-797	32	11	their	their	PRON
ejpam-797	32	12	permanent	permanent	ADJ
ejpam-797	32	13	and	and	CCONJ
ejpam-797	32	14	temporary	temporary	ADJ
ejpam-797	32	15	components	component	NOUN
ejpam-797	32	16	(	(	PUNCT
ejpam-797	32	17	for	for	ADP
ejpam-797	32	18	example	example	NOUN
ejpam-797	32	19	,	,	PUNCT
ejpam-797	32	20	[	[	X
ejpam-797	32	21	12	12	NUM
ejpam-797	32	22	,	,	PUNCT
ejpam-797	32	23	21	21	NUM
ejpam-797	32	24	,	,	PUNCT
ejpam-797	32	25	and	and	CCONJ
ejpam-797	32	26	27	27	NUM
ejpam-797	32	27	]	]	NUM
ejpam-797	32	28	)	)	PUNCT
ejpam-797	32	29	.	.	PUNCT
ejpam-797	33	1	in	in	ADP
ejpam-797	33	2	each	each	DET
ejpam-797	33	3	case	case	NOUN
ejpam-797	33	4	,	,	PUNCT
ejpam-797	33	5	the	the	DET
ejpam-797	33	6	permanent	permanent	ADJ
ejpam-797	33	7	component	component	NOUN
ejpam-797	33	8	is	be	AUX
ejpam-797	33	9	based	base	VERB
ejpam-797	33	10	either	either	CCONJ
ejpam-797	33	11	on	on	ADP
ejpam-797	33	12	the	the	DET
ejpam-797	33	13	orthogonal	orthogonal	ADJ
ejpam-797	33	14	complements	complement	NOUN
ejpam-797	33	15	of	of	ADP
ejpam-797	33	16	the	the	DET
ejpam-797	33	17	cointegrating	cointegrate	VERB
ejpam-797	33	18	relationships	relationship	NOUN
ejpam-797	33	19	or	or	CCONJ
ejpam-797	33	20	on	on	ADP
ejpam-797	33	21	the	the	DET
ejpam-797	33	22	orthogonal	orthogonal	ADJ
ejpam-797	33	23	complements	complement	NOUN
ejpam-797	33	24	of	of	ADP
ejpam-797	33	25	the	the	DET
ejpam-797	33	26	disequilibrium	disequilibrium	NOUN
ejpam-797	33	27	adjustments	adjustment	NOUN
ejpam-797	33	28	to	to	ADP
ejpam-797	33	29	the	the	DET
ejpam-797	33	30	cointegrating	cointegrate	VERB
ejpam-797	33	31	relationships	relationship	NOUN
ejpam-797	33	32	.	.	PUNCT
ejpam-797	34	1	in	in	ADP
ejpam-797	34	2	this	this	DET
ejpam-797	34	3	paper	paper	NOUN
ejpam-797	34	4	,	,	PUNCT
ejpam-797	34	5	new	new	ADJ
ejpam-797	34	6	hypothesis	hypothesis	NOUN
ejpam-797	34	7	tests	test	NOUN
ejpam-797	34	8	are	be	AUX
ejpam-797	34	9	presented	present	VERB
ejpam-797	34	10	in	in	ADP
ejpam-797	34	11	johansen	johansen	PROPN
ejpam-797	34	12	’s	’s	PART
ejpam-797	34	13	maximum	maximum	ADJ
ejpam-797	34	14	likelihood	likelihood	NOUN
ejpam-797	34	15	framework	framework	NOUN
ejpam-797	34	16	that	that	PRON
ejpam-797	34	17	allow	allow	VERB
ejpam-797	34	18	one	one	PRON
ejpam-797	34	19	to	to	PART
ejpam-797	34	20	combine	combine	VERB
ejpam-797	34	21	restrictions	restriction	NOUN
ejpam-797	34	22	on	on	ADP
ejpam-797	34	23	the	the	DET
ejpam-797	34	24	cointegrating	cointegrate	VERB
ejpam-797	34	25	relationships	relationship	NOUN
ejpam-797	34	26	and	and	CCONJ
ejpam-797	34	27	on	on	ADP
ejpam-797	34	28	their	their	PRON
ejpam-797	34	29	disequilibrium	disequilibrium	NOUN
ejpam-797	34	30	adjustments	adjustment	NOUN
ejpam-797	34	31	.	.	PUNCT
ejpam-797	35	1	these	these	DET
ejpam-797	35	2	tests	test	NOUN
ejpam-797	35	3	possess	possess	VERB
ejpam-797	35	4	closed	closed	ADJ
ejpam-797	35	5	-	-	PUNCT
ejpam-797	35	6	form	form	NOUN
ejpam-797	35	7	solutions	solution	NOUN
ejpam-797	35	8	and	and	CCONJ
ejpam-797	35	9	do	do	AUX
ejpam-797	35	10	not	not	PART
ejpam-797	35	11	require	require	VERB
ejpam-797	35	12	iterative	iterative	ADJ
ejpam-797	35	13	methods	method	NOUN
ejpam-797	35	14	to	to	PART
ejpam-797	35	15	estimate	estimate	VERB
ejpam-797	35	16	the	the	DET
ejpam-797	35	17	restricted	restricted	ADJ
ejpam-797	35	18	parameters	parameter	NOUN
ejpam-797	35	19	under	under	ADP
ejpam-797	35	20	the	the	DET
ejpam-797	35	21	null	null	ADJ
ejpam-797	35	22	hypothesis	hypothesis	NOUN
ejpam-797	35	23	.	.	PUNCT
ejpam-797	36	1	secondly	secondly	ADV
ejpam-797	36	2	,	,	PUNCT
ejpam-797	36	3	both	both	PRON
ejpam-797	36	4	for	for	ADP
ejpam-797	36	5	johansen	johansen	PROPN
ejpam-797	36	6	’s	’s	PART
ejpam-797	36	7	likelihood	likelihood	NOUN
ejpam-797	36	8	ratio	ratio	NOUN
ejpam-797	36	9	tests	test	NOUN
ejpam-797	36	10	for	for	ADP
ejpam-797	36	11	coefficient	coefficient	NOUN
ejpam-797	36	12	restrictions	restriction	NOUN
ejpam-797	36	13	and	and	CCONJ
ejpam-797	36	14	for	for	ADP
ejpam-797	36	15	the	the	DET
ejpam-797	36	16	new	new	ADJ
ejpam-797	36	17	tests	test	NOUN
ejpam-797	36	18	presented	present	VERB
ejpam-797	36	19	below	below	ADV
ejpam-797	36	20	,	,	PUNCT
ejpam-797	36	21	the	the	DET
ejpam-797	36	22	restrictions	restriction	NOUN
ejpam-797	36	23	implicitly	implicitly	ADV
ejpam-797	36	24	placed	place	VERB
ejpam-797	36	25	on	on	ADP
ejpam-797	36	26	the	the	DET
ejpam-797	36	27	orthogonal	orthogonal	ADJ
ejpam-797	36	28	complements	complement	NOUN
ejpam-797	36	29	of	of	ADP
ejpam-797	36	30	the	the	DET
ejpam-797	36	31	cointegrating	cointegrate	VERB
ejpam-797	36	32	relationships	relationship	NOUN
ejpam-797	36	33	and	and	CCONJ
ejpam-797	36	34	on	on	ADP
ejpam-797	36	35	the	the	DET
ejpam-797	36	36	orthogonal	orthogonal	ADJ
ejpam-797	36	37	complements	complement	NOUN
ejpam-797	36	38	of	of	ADP
ejpam-797	36	39	the	the	DET
ejpam-797	36	40	adjustment	adjustment	NOUN
ejpam-797	36	41	speeds	speed	NOUN
ejpam-797	36	42	are	be	AUX
ejpam-797	36	43	presented	present	VERB
ejpam-797	36	44	.	.	PUNCT
ejpam-797	37	1	johansen	johansen	PROPN
ejpam-797	37	2	’s	’s	PART
ejpam-797	37	3	tests	test	NOUN
ejpam-797	37	4	and	and	CCONJ
ejpam-797	37	5	the	the	DET
ejpam-797	37	6	tests	test	NOUN
ejpam-797	37	7	developed	develop	VERB
ejpam-797	37	8	in	in	ADP
ejpam-797	37	9	this	this	DET
ejpam-797	37	10	paper	paper	NOUN
ejpam-797	37	11	can	can	AUX
ejpam-797	37	12	be	be	AUX
ejpam-797	37	13	interpreted	interpret	VERB
ejpam-797	37	14	as	as	ADP
ejpam-797	37	15	tests	test	NOUN
ejpam-797	37	16	of	of	ADP
ejpam-797	37	17	restrictions	restriction	NOUN
ejpam-797	37	18	on	on	ADP
ejpam-797	37	19	the	the	DET
ejpam-797	37	20	various	various	ADJ
ejpam-797	37	21	definitions	definition	NOUN
ejpam-797	37	22	of	of	ADP
ejpam-797	37	23	common	common	ADJ
ejpam-797	37	24	stochastic	stochastic	ADJ
ejpam-797	37	25	trends	trend	NOUN
ejpam-797	37	26	,	,	PUNCT
ejpam-797	37	27	since	since	SCONJ
ejpam-797	37	28	these	these	DET
ejpam-797	37	29	definitions	definition	NOUN
ejpam-797	37	30	depend	depend	VERB
ejpam-797	37	31	on	on	ADP
ejpam-797	37	32	the	the	DET
ejpam-797	37	33	orthogonal	orthogonal	ADJ
ejpam-797	37	34	complements	complement	NOUN
ejpam-797	37	35	either	either	PRON
ejpam-797	37	36	of	of	ADP
ejpam-797	37	37	the	the	DET
ejpam-797	37	38	cointegrating	cointegrate	VERB
ejpam-797	37	39	relationships	relationship	NOUN
ejpam-797	37	40	or	or	CCONJ
ejpam-797	37	41	of	of	ADP
ejpam-797	37	42	the	the	DET
ejpam-797	37	43	disequilibrium	disequilibrium	NOUN
ejpam-797	37	44	adjustments	adjustment	NOUN
ejpam-797	37	45	.	.	PUNCT
ejpam-797	38	1	thus	thus	ADV
ejpam-797	38	2	,	,	PUNCT
ejpam-797	38	3	one	one	PRON
ejpam-797	38	4	has	have	VERB
ejpam-797	38	5	great	great	ADJ
ejpam-797	38	6	flexibility	flexibility	NOUN
ejpam-797	38	7	in	in	ADP
ejpam-797	38	8	formulating	formulate	VERB
ejpam-797	38	9	and	and	CCONJ
ejpam-797	38	10	testing	test	VERB
ejpam-797	38	11	hypotheses	hypothesis	NOUN
ejpam-797	38	12	of	of	ADP
ejpam-797	38	13	economic	economic	ADJ
ejpam-797	38	14	interest	interest	NOUN
ejpam-797	38	15	simultaneously	simultaneously	ADV
ejpam-797	38	16	on	on	ADP
ejpam-797	38	17	the	the	DET
ejpam-797	38	18	cointegrating	cointegrate	VERB
ejpam-797	38	19	relationships	relationship	NOUN
ejpam-797	38	20	and	and	CCONJ
ejpam-797	38	21	on	on	ADP
ejpam-797	38	22	the	the	DET
ejpam-797	38	23	common	common	ADJ
ejpam-797	38	24	stochastic	stochastic	ADJ
ejpam-797	38	25	trends	trend	NOUN
ejpam-797	38	26	—	—	PUNCT
ejpam-797	38	27	the	the	DET
ejpam-797	38	28	long	long	ADV
ejpam-797	38	29	-	-	PUNCT
ejpam-797	38	30	run	run	NOUN
ejpam-797	38	31	relationships	relationship	NOUN
ejpam-797	38	32	among	among	ADP
ejpam-797	38	33	the	the	DET
ejpam-797	38	34	variables	variable	NOUN
ejpam-797	38	35	in	in	ADP
ejpam-797	38	36	the	the	DET
ejpam-797	38	37	system	system	NOUN
ejpam-797	38	38	and	and	CCONJ
ejpam-797	38	39	the	the	DET
ejpam-797	38	40	variables	variable	NOUN
ejpam-797	38	41	driving	drive	VERB
ejpam-797	38	42	the	the	DET
ejpam-797	38	43	trending	trend	VERB
ejpam-797	38	44	behavior	behavior	NOUN
ejpam-797	38	45	the	the	DET
ejpam-797	38	46	system	system	NOUN
ejpam-797	38	47	,	,	PUNCT
ejpam-797	38	48	respectively	respectively	ADV
ejpam-797	38	49	.	.	PUNCT
ejpam-797	39	1	n.	n.	PROPN
ejpam-797	39	2	morin	morin	PROPN
ejpam-797	39	3	/	/	SYM
ejpam-797	39	4	eur	eur	PROPN
ejpam-797	39	5	.	.	PUNCT
ejpam-797	40	1	j.	j.	PROPN
ejpam-797	40	2	pure	pure	PROPN
ejpam-797	40	3	appl	appl	PROPN
ejpam-797	40	4	.	.	PUNCT
ejpam-797	41	1	math	math	NOUN
ejpam-797	41	2	543	543	NUM
ejpam-797	41	3	the	the	DET
ejpam-797	41	4	organization	organization	NOUN
ejpam-797	41	5	of	of	ADP
ejpam-797	41	6	this	this	DET
ejpam-797	41	7	paper	paper	NOUN
ejpam-797	41	8	is	be	AUX
ejpam-797	41	9	as	as	SCONJ
ejpam-797	41	10	follows	follow	VERB
ejpam-797	41	11	:	:	PUNCT
ejpam-797	41	12	in	in	ADP
ejpam-797	41	13	section	section	NOUN
ejpam-797	41	14	2	2	NUM
ejpam-797	41	15	,	,	PUNCT
ejpam-797	41	16	the	the	DET
ejpam-797	41	17	basic	basic	ADJ
ejpam-797	41	18	model	model	NOUN
ejpam-797	41	19	and	and	CCONJ
ejpam-797	41	20	notation	notation	NOUN
ejpam-797	41	21	are	be	AUX
ejpam-797	41	22	introduced	introduce	VERB
ejpam-797	41	23	,	,	PUNCT
ejpam-797	41	24	and	and	CCONJ
ejpam-797	41	25	maximum	maximum	ADJ
ejpam-797	41	26	likelihood	likelihood	NOUN
ejpam-797	41	27	estimation	estimation	NOUN
ejpam-797	41	28	of	of	ADP
ejpam-797	41	29	the	the	DET
ejpam-797	41	30	unrestricted	unrestricted	ADJ
ejpam-797	41	31	model	model	NOUN
ejpam-797	41	32	is	be	AUX
ejpam-797	41	33	briefly	briefly	ADV
ejpam-797	41	34	described	describe	VERB
ejpam-797	41	35	.	.	PUNCT
ejpam-797	42	1	in	in	ADP
ejpam-797	42	2	section	section	NOUN
ejpam-797	42	3	3	3	NUM
ejpam-797	42	4	,	,	PUNCT
ejpam-797	42	5	likelihood	likelihood	NOUN
ejpam-797	42	6	ratio	ratio	NOUN
ejpam-797	42	7	tests	test	NOUN
ejpam-797	42	8	for	for	ADP
ejpam-797	42	9	restrictions	restriction	NOUN
ejpam-797	42	10	on	on	ADP
ejpam-797	42	11	cointegrating	cointegrate	VERB
ejpam-797	42	12	relationships	relationship	NOUN
ejpam-797	42	13	and	and	CCONJ
ejpam-797	42	14	on	on	ADP
ejpam-797	42	15	their	their	PRON
ejpam-797	42	16	weights	weight	NOUN
ejpam-797	42	17	are	be	AUX
ejpam-797	42	18	briefly	briefly	ADV
ejpam-797	42	19	described	describe	VERB
ejpam-797	42	20	,	,	PUNCT
ejpam-797	42	21	and	and	CCONJ
ejpam-797	42	22	three	three	NUM
ejpam-797	42	23	new	new	ADJ
ejpam-797	42	24	tests	test	NOUN
ejpam-797	42	25	in	in	ADP
ejpam-797	42	26	this	this	DET
ejpam-797	42	27	framework	framework	NOUN
ejpam-797	42	28	are	be	AUX
ejpam-797	42	29	presented	present	VERB
ejpam-797	42	30	.	.	PUNCT
ejpam-797	43	1	in	in	ADP
ejpam-797	43	2	section	section	NOUN
ejpam-797	43	3	4	4	NUM
ejpam-797	43	4	,	,	PUNCT
ejpam-797	43	5	the	the	DET
ejpam-797	43	6	implications	implication	NOUN
ejpam-797	43	7	for	for	ADP
ejpam-797	43	8	the	the	DET
ejpam-797	43	9	orthogonal	orthogonal	ADJ
ejpam-797	43	10	complements	complement	NOUN
ejpam-797	43	11	of	of	ADP
ejpam-797	43	12	the	the	DET
ejpam-797	43	13	cointegrating	cointegrate	VERB
ejpam-797	43	14	vectors	vector	NOUN
ejpam-797	43	15	and	and	CCONJ
ejpam-797	43	16	of	of	ADP
ejpam-797	43	17	the	the	DET
ejpam-797	43	18	adjustment	adjustment	NOUN
ejpam-797	43	19	vectors	vector	NOUN
ejpam-797	43	20	are	be	AUX
ejpam-797	43	21	developed	develop	VERB
ejpam-797	43	22	for	for	ADP
ejpam-797	43	23	the	the	DET
ejpam-797	43	24	tests	test	NOUN
ejpam-797	43	25	described	describe	VERB
ejpam-797	43	26	in	in	ADP
ejpam-797	43	27	section	section	NOUN
ejpam-797	43	28	3	3	NUM
ejpam-797	43	29	.	.	PUNCT
ejpam-797	44	1	it	it	PRON
ejpam-797	44	2	is	be	AUX
ejpam-797	44	3	shown	show	VERB
ejpam-797	44	4	how	how	SCONJ
ejpam-797	44	5	these	these	DET
ejpam-797	44	6	tests	test	NOUN
ejpam-797	44	7	can	can	AUX
ejpam-797	44	8	be	be	AUX
ejpam-797	44	9	used	use	VERB
ejpam-797	44	10	for	for	ADP
ejpam-797	44	11	testing	test	VERB
ejpam-797	44	12	restrictions	restriction	NOUN
ejpam-797	44	13	on	on	ADP
ejpam-797	44	14	the	the	DET
ejpam-797	44	15	orthogonal	orthogonal	ADJ
ejpam-797	44	16	complements	complement	NOUN
ejpam-797	44	17	of	of	ADP
ejpam-797	44	18	cointegrating	cointegrate	VERB
ejpam-797	44	19	vectors	vector	NOUN
ejpam-797	44	20	and	and	CCONJ
ejpam-797	44	21	on	on	ADP
ejpam-797	44	22	the	the	DET
ejpam-797	44	23	orthogonal	orthogonal	ADJ
ejpam-797	44	24	complements	complement	NOUN
ejpam-797	44	25	of	of	ADP
ejpam-797	44	26	the	the	DET
ejpam-797	44	27	disequilibrium	disequilibrium	NOUN
ejpam-797	44	28	adjustment	adjustment	NOUN
ejpam-797	44	29	vectors	vector	NOUN
ejpam-797	44	30	—	—	PUNCT
ejpam-797	44	31	thus	thus	ADV
ejpam-797	44	32	allowing	allow	VERB
ejpam-797	44	33	for	for	ADP
ejpam-797	44	34	combinations	combination	NOUN
ejpam-797	44	35	of	of	ADP
ejpam-797	44	36	tests	test	NOUN
ejpam-797	44	37	on	on	ADP
ejpam-797	44	38	cointegrating	cointegrate	VERB
ejpam-797	44	39	relationships	relationship	NOUN
ejpam-797	44	40	and	and	CCONJ
ejpam-797	44	41	on	on	ADP
ejpam-797	44	42	the	the	DET
ejpam-797	44	43	different	different	ADJ
ejpam-797	44	44	definitions	definition	NOUN
ejpam-797	44	45	of	of	ADP
ejpam-797	44	46	common	common	ADJ
ejpam-797	44	47	stochastic	stochastic	ADJ
ejpam-797	44	48	trends	trend	NOUN
ejpam-797	44	49	.	.	PUNCT
ejpam-797	45	1	section	section	NOUN
ejpam-797	45	2	5	5	NUM
ejpam-797	45	3	concludes	conclude	VERB
ejpam-797	45	4	,	,	PUNCT
ejpam-797	45	5	and	and	CCONJ
ejpam-797	45	6	the	the	DET
ejpam-797	45	7	appendix	appendix	NOUN
ejpam-797	45	8	contains	contain	VERB
ejpam-797	45	9	the	the	DET
ejpam-797	45	10	mathematical	mathematical	ADJ
ejpam-797	45	11	proofs	proof	NOUN
ejpam-797	45	12	.	.	PUNCT
ejpam-797	46	1	2	2	X
ejpam-797	46	2	.	.	X
ejpam-797	46	3	the	the	DET
ejpam-797	46	4	unrestricted	unrestricted	ADJ
ejpam-797	46	5	cointegrated	cointegrate	VERB
ejpam-797	46	6	model	model	NOUN
ejpam-797	46	7	let	let	VERB
ejpam-797	46	8	(	(	PUNCT
ejpam-797	46	9	)	)	PUNCT
ejpam-797	46	10	i	i	PRON
ejpam-797	46	11	d	d	NOUN
ejpam-797	46	12	denote	denote	VERB
ejpam-797	46	13	a	a	DET
ejpam-797	46	14	time	time	NOUN
ejpam-797	46	15	series	series	NOUN
ejpam-797	46	16	that	that	PRON
ejpam-797	46	17	is	be	AUX
ejpam-797	46	18	integrated	integrate	VERB
ejpam-797	46	19	of	of	ADP
ejpam-797	46	20	order	order	NOUN
ejpam-797	46	21	d	d	NOUN
ejpam-797	46	22	,	,	PUNCT
ejpam-797	46	23	that	that	ADV
ejpam-797	46	24	is	is	ADV
ejpam-797	46	25	,	,	PUNCT
ejpam-797	46	26	d	d	PROPN
ejpam-797	46	27	applications	application	NOUN
ejpam-797	46	28	of	of	ADP
ejpam-797	46	29	the	the	DET
ejpam-797	46	30	differencing	difference	VERB
ejpam-797	46	31	filter	filter	NOUN
ejpam-797	46	32	,	,	PUNCT
ejpam-797	46	33	1	1	NUM
ejpam-797	46	34	l∆	l∆	NOUN
ejpam-797	46	35	=	=	PUNCT
ejpam-797	46	36	−	−	PROPN
ejpam-797	46	37	,	,	PUNCT
ejpam-797	46	38	yield	yield	VERB
ejpam-797	46	39	a	a	DET
ejpam-797	46	40	stationary	stationary	ADJ
ejpam-797	46	41	process	process	NOUN
ejpam-797	46	42	.	.	PUNCT
ejpam-797	47	1	let	let	VERB
ejpam-797	47	2	tx	tx	INTJ
ejpam-797	47	3	be	be	AUX
ejpam-797	47	4	a	a	DET
ejpam-797	47	5	p×1	p×1	ADJ
ejpam-797	47	6	vector	vector	NOUN
ejpam-797	47	7	of	of	ADP
ejpam-797	47	8	possibly	possibly	ADV
ejpam-797	47	9	i(1	i(1	PROPN
ejpam-797	47	10	)	)	PUNCT
ejpam-797	47	11	time	time	NOUN
ejpam-797	47	12	series	series	NOUN
ejpam-797	47	13	defined	define	VERB
ejpam-797	47	14	by	by	ADP
ejpam-797	47	15	the	the	DET
ejpam-797	47	16	kth	kth	PROPN
ejpam-797	47	17	-	-	PUNCT
ejpam-797	47	18	order	order	NOUN
ejpam-797	47	19	vector	vector	NOUN
ejpam-797	47	20	autoregression	autoregression	NOUN
ejpam-797	47	21	(	(	PUNCT
ejpam-797	47	22	var	var	NOUN
ejpam-797	47	23	)	)	PUNCT
ejpam-797	47	24	,	,	PUNCT
ejpam-797	48	1	1	1	NUM
ejpam-797	48	2	k	k	NOUN
ejpam-797	48	3	t	t	X
ejpam-797	49	1	i	i	PRON
ejpam-797	50	1	t	t	X
ejpam-797	51	1	i	i	PRON
ejpam-797	51	2	t	t	NOUN
ejpam-797	51	3	t	t	X
ejpam-797	52	1	i	i	PRON
ejpam-797	52	2	x	x	PUNCT
ejpam-797	52	3	x	x	PUNCT
ejpam-797	52	4	d	d	X
ejpam-797	52	5	ε−	ε−	PROPN
ejpam-797	52	6	=	=	PUNCT
ejpam-797	52	7	=	=	SYM
ejpam-797	52	8	π	π	PROPN
ejpam-797	52	9	+	+	CCONJ
ejpam-797	52	10	φ	φ	PROPN
ejpam-797	52	11	+	+	PROPN
ejpam-797	52	12	∑	∑	PROPN
ejpam-797	52	13	,	,	PUNCT
ejpam-797	52	14	1	1	NUM
ejpam-797	52	15	,	,	PUNCT
ejpam-797	52	16	,	,	PUNCT
ejpam-797	52	17	t	t	PROPN
ejpam-797	52	18	t=	t=	NOUN
ejpam-797	52	19			NUM
ejpam-797	52	20	,	,	PUNCT
ejpam-797	52	21	(	(	PUNCT
ejpam-797	52	22	1	1	X
ejpam-797	52	23	)	)	PUNCT
ejpam-797	52	24	and	and	CCONJ
ejpam-797	52	25	generated	generate	VERB
ejpam-797	52	26	by	by	ADP
ejpam-797	52	27	initial	initial	ADJ
ejpam-797	52	28	values	value	NOUN
ejpam-797	52	29	0	0	NUM
ejpam-797	52	30	,	,	PUNCT
ejpam-797	52	31	,	,	PUNCT
ejpam-797	52	32	kx	kx	PROPN
ejpam-797	52	33	x−	x−	PROPN
ejpam-797	52	34			PROPN
ejpam-797	52	35	,	,	PUNCT
ejpam-797	52	36	by	by	ADP
ejpam-797	52	37	p	p	ADJ
ejpam-797	52	38	-	-	PUNCT
ejpam-797	52	39	dimensional	dimensional	ADJ
ejpam-797	52	40	normally	normally	ADV
ejpam-797	52	41	-	-	PUNCT
ejpam-797	52	42	distributed	distribute	VERB
ejpam-797	52	43	zeromean	zeromean	ADJ
ejpam-797	52	44	random	random	ADJ
ejpam-797	52	45	variables	variable	NOUN
ejpam-797	52	46	{	{	PUNCT
ejpam-797	52	47	}	}	SYM
ejpam-797	52	48	0	0	NUM
ejpam-797	53	1	t	t	NOUN
ejpam-797	53	2	t	t	PROPN
ejpam-797	53	3	t	t	X
ejpam-797	53	4	ε	ε	PROPN
ejpam-797	53	5	=	=	PUNCT
ejpam-797	53	6	with	with	ADP
ejpam-797	53	7	variance	variance	NOUN
ejpam-797	53	8	matrix	matrix	NOUN
ejpam-797	53	9	ω	ω	NOUN
ejpam-797	53	10	and	and	CCONJ
ejpam-797	53	11	by	by	ADP
ejpam-797	53	12	a	a	DET
ejpam-797	53	13	vector	vector	NOUN
ejpam-797	53	14	of	of	ADP
ejpam-797	53	15	deterministic	deterministic	ADJ
ejpam-797	53	16	components	component	NOUN
ejpam-797	53	17	td	td	NOUN
ejpam-797	53	18	(	(	PUNCT
ejpam-797	53	19	possibly	possibly	ADV
ejpam-797	53	20	constants	constant	NOUN
ejpam-797	53	21	,	,	PUNCT
ejpam-797	53	22	linear	linear	ADJ
ejpam-797	53	23	trends	trend	NOUN
ejpam-797	53	24	,	,	PUNCT
ejpam-797	53	25	and	and	CCONJ
ejpam-797	53	26	seasonal	seasonal	ADJ
ejpam-797	53	27	and	and	CCONJ
ejpam-797	53	28	other	other	ADJ
ejpam-797	53	29	dummy	dummy	ADJ
ejpam-797	53	30	variables	variable	NOUN
ejpam-797	53	31	)	)	PUNCT
ejpam-797	53	32	.	.	PUNCT
ejpam-797	54	1	using	use	VERB
ejpam-797	54	2	the	the	DET
ejpam-797	54	3	lag	lag	ADJ
ejpam-797	54	4	polynomial	polynomial	ADJ
ejpam-797	54	5	expression	expression	NOUN
ejpam-797	54	6	for	for	ADP
ejpam-797	54	7	(	(	PUNCT
ejpam-797	54	8	1	1	NUM
ejpam-797	54	9	)	)	PUNCT
ejpam-797	54	10	,	,	PUNCT
ejpam-797	54	11	(	(	PUNCT
ejpam-797	54	12	)	)	PUNCT
ejpam-797	54	13	t	t	NOUN
ejpam-797	54	14	t	t	X
ejpam-797	54	15	tl	tl	PROPN
ejpam-797	55	1	x	x	PUNCT
ejpam-797	55	2	d	d	NOUN
ejpam-797	55	3	επ	επ	ADP
ejpam-797	55	4	=	=	SYM
ejpam-797	55	5	φ	φ	PROPN
ejpam-797	55	6	+	+	PROPN
ejpam-797	55	7	,	,	PUNCT
ejpam-797	55	8	(	(	PUNCT
ejpam-797	55	9	2	2	NUM
ejpam-797	55	10	)	)	PUNCT
ejpam-797	55	11	where	where	SCONJ
ejpam-797	55	12	(	(	PUNCT
ejpam-797	55	13	)	)	PUNCT
ejpam-797	55	14	1	1	NUM
ejpam-797	56	1	k	k	NOUN
ejpam-797	57	1	i	i	PRON
ejpam-797	58	1	i	i	PRON
ejpam-797	59	1	i	i	VERB
ejpam-797	59	2	l	l	VERB
ejpam-797	60	1	i	i	VERB
ejpam-797	60	2	l	l	NOUN
ejpam-797	61	1	=	=	PUNCT
ejpam-797	61	2	π	π	X
ejpam-797	61	3	=	=	PUNCT
ejpam-797	61	4	−	−	PROPN
ejpam-797	61	5	π∑	π∑	ADV
ejpam-797	61	6	,	,	PUNCT
ejpam-797	61	7	the	the	DET
ejpam-797	61	8	var	var	NOUN
ejpam-797	61	9	in	in	ADP
ejpam-797	61	10	the	the	DET
ejpam-797	61	11	levels	level	NOUN
ejpam-797	61	12	in	in	ADP
ejpam-797	61	13	(	(	PUNCT
ejpam-797	61	14	1	1	X
ejpam-797	61	15	)	)	PUNCT
ejpam-797	61	16	can	can	AUX
ejpam-797	61	17	be	be	AUX
ejpam-797	61	18	rewritten	rewrite	VERB
ejpam-797	61	19	in	in	ADP
ejpam-797	61	20	first	first	ADJ
ejpam-797	61	21	differences	difference	NOUN
ejpam-797	61	22	as	as	ADP
ejpam-797	61	23	1	1	NUM
ejpam-797	61	24	1	1	NUM
ejpam-797	61	25	1	1	NUM
ejpam-797	61	26	k	k	NOUN
ejpam-797	61	27	t	t	PROPN
ejpam-797	62	1	t	t	PROPN
ejpam-797	63	1	i	i	PRON
ejpam-797	63	2	t	t	X
ejpam-797	64	1	i	i	PRON
ejpam-797	64	2	t	t	NOUN
ejpam-797	65	1	t	t	X
ejpam-797	66	1	i	i	NOUN
ejpam-797	66	2	x	x	PUNCT
ejpam-797	66	3	x	x	PUNCT
ejpam-797	66	4	x	x	PUNCT
ejpam-797	66	5	d	d	X
ejpam-797	66	6	ε	ε	PROPN
ejpam-797	66	7	−	−	PROPN
ejpam-797	66	8	−	−	PROPN
ejpam-797	66	9	−	−	PROPN
ejpam-797	66	10	=	=	SYM
ejpam-797	66	11	∆	∆	PROPN
ejpam-797	67	1	=	=	PUNCT
ejpam-797	67	2	π	π	X
ejpam-797	67	3	+	+	CCONJ
ejpam-797	67	4	γ	γ	X
ejpam-797	67	5	∆	∆	PROPN
ejpam-797	67	6	+	+	CCONJ
ejpam-797	67	7	φ	φ	PROPN
ejpam-797	67	8	+	+	NOUN
ejpam-797	67	9	∑	∑	PROPN
ejpam-797	67	10	,	,	PUNCT
ejpam-797	67	11	(	(	PUNCT
ejpam-797	67	12	3	3	X
ejpam-797	67	13	)	)	PUNCT
ejpam-797	67	14	where	where	SCONJ
ejpam-797	67	15	(	(	PUNCT
ejpam-797	67	16	)	)	PUNCT
ejpam-797	67	17	1	1	NUM
ejpam-797	67	18	1	1	NUM
ejpam-797	68	1	k	k	NOUN
ejpam-797	68	2	i	i	PRON
ejpam-797	69	1	i	i	PRON
ejpam-797	69	2	i	i	PRON
ejpam-797	69	3	=	=	VERB
ejpam-797	69	4			X
ejpam-797	69	5			PUNCT
ejpam-797	70	1	π	π	X
ejpam-797	70	2	=	=	PUNCT
ejpam-797	71	1	−π	−π	NOUN
ejpam-797	71	2	=	=	PUNCT
ejpam-797	72	1	−	−	PROPN
ejpam-797	72	2	−	−	PROPN
ejpam-797	72	3	π	π	ADJ
ejpam-797	72	4			NOUN
ejpam-797	72	5			ADV
ejpam-797	72	6			PUNCT
ejpam-797	72	7	∑	∑	PUNCT
ejpam-797	72	8	and	and	CCONJ
ejpam-797	72	9	1	1	NUM
ejpam-797	72	10	,	,	PUNCT
ejpam-797	72	11	1	1	NUM
ejpam-797	72	12	,	,	PUNCT
ejpam-797	72	13	,	,	PUNCT
ejpam-797	72	14	1	1	NUM
ejpam-797	72	15	k	k	NOUN
ejpam-797	73	1	i	i	PRON
ejpam-797	73	2	j	j	PROPN
ejpam-797	74	1	j	j	INTJ
ejpam-797	75	1	i	i	PRON
ejpam-797	75	2	i	i	VERB
ejpam-797	75	3	k	k	NOUN
ejpam-797	76	1	=	=	PUNCT
ejpam-797	77	1	+	+	NUM
ejpam-797	77	2	γ	γ	X
ejpam-797	77	3	=	=	SYM
ejpam-797	77	4	−	−	PROPN
ejpam-797	77	5	π	π	X
ejpam-797	77	6	=	=	SYM
ejpam-797	77	7	−∑	−∑	PROPN
ejpam-797	77	8			INTJ
ejpam-797	77	9	.	.	PUNCT
ejpam-797	78	1	the	the	DET
ejpam-797	78	2	long	long	ADV
ejpam-797	78	3	-	-	PUNCT
ejpam-797	78	4	run	run	NOUN
ejpam-797	78	5	behavior	behavior	NOUN
ejpam-797	78	6	of	of	ADP
ejpam-797	78	7	the	the	DET
ejpam-797	78	8	system	system	NOUN
ejpam-797	78	9	depends	depend	VERB
ejpam-797	78	10	on	on	ADP
ejpam-797	78	11	the	the	DET
ejpam-797	78	12	rank	rank	NOUN
ejpam-797	78	13	of	of	ADP
ejpam-797	78	14	the	the	DET
ejpam-797	78	15	p×p	p×p	PROPN
ejpam-797	78	16	matrix	matrix	NOUN
ejpam-797	78	17	π	π	NOUN
ejpam-797	78	18	.	.	PUNCT
ejpam-797	79	1	if	if	SCONJ
ejpam-797	79	2	the	the	DET
ejpam-797	79	3	matrix	matrix	NOUN
ejpam-797	79	4	has	have	VERB
ejpam-797	79	5	rank	rank	NOUN
ejpam-797	79	6	0	0	NUM
ejpam-797	80	1	(	(	PUNCT
ejpam-797	80	2	that	that	PRON
ejpam-797	80	3	is	be	AUX
ejpam-797	80	4	,	,	PUNCT
ejpam-797	80	5	π	π	PROPN
ejpam-797	80	6	=	=	SYM
ejpam-797	80	7	0	0	NUM
ejpam-797	80	8	)	)	PUNCT
ejpam-797	80	9	then	then	ADV
ejpam-797	80	10	there	there	PRON
ejpam-797	80	11	are	be	VERB
ejpam-797	80	12	p	p	NOUN
ejpam-797	80	13	unit	unit	NOUN
ejpam-797	80	14	roots	root	NOUN
ejpam-797	80	15	in	in	ADP
ejpam-797	80	16	the	the	DET
ejpam-797	80	17	system	system	NOUN
ejpam-797	80	18	,	,	PUNCT
ejpam-797	80	19	and	and	CCONJ
ejpam-797	80	20	(	(	PUNCT
ejpam-797	80	21	3	3	X
ejpam-797	80	22	)	)	PUNCT
ejpam-797	80	23	is	be	AUX
ejpam-797	80	24	simply	simply	ADV
ejpam-797	80	25	a	a	DET
ejpam-797	80	26	traditional	traditional	ADJ
ejpam-797	80	27	var	var	NOUN
ejpam-797	80	28	in	in	ADP
ejpam-797	80	29	differences	difference	NOUN
ejpam-797	80	30	.	.	PUNCT
ejpam-797	81	1	if	if	SCONJ
ejpam-797	81	2	π	π	PROPN
ejpam-797	81	3	has	have	VERB
ejpam-797	81	4	full	full	ADJ
ejpam-797	81	5	rank	rank	NOUN
ejpam-797	81	6	p	p	NOUN
ejpam-797	81	7	,	,	PUNCT
ejpam-797	81	8	then	then	ADV
ejpam-797	81	9	tx	tx	PROPN
ejpam-797	81	10	is	be	AUX
ejpam-797	81	11	an	an	DET
ejpam-797	81	12	i(0	i(0	PROPN
ejpam-797	81	13	)	)	PUNCT
ejpam-797	81	14	process	process	NOUN
ejpam-797	81	15	,	,	PUNCT
ejpam-797	81	16	that	that	ADV
ejpam-797	81	17	is	is	ADV
ejpam-797	81	18	,	,	PUNCT
ejpam-797	81	19	tx	tx	PROPN
ejpam-797	81	20	is	be	AUX
ejpam-797	81	21	stationary	stationary	ADJ
ejpam-797	81	22	in	in	ADP
ejpam-797	81	23	its	its	PRON
ejpam-797	81	24	levels	level	NOUN
ejpam-797	81	25	.	.	PUNCT
ejpam-797	82	1	if	if	SCONJ
ejpam-797	82	2	the	the	DET
ejpam-797	82	3	rank	rank	NOUN
ejpam-797	82	4	of	of	ADP
ejpam-797	82	5	π	π	PROPN
ejpam-797	82	6	is	be	AUX
ejpam-797	82	7	r	r	NOUN
ejpam-797	82	8	with	with	ADP
ejpam-797	82	9	0	0	NUM
ejpam-797	82	10	r	r	NOUN
ejpam-797	82	11	p	p	X
ejpam-797	82	12	<	<	X
ejpam-797	82	13	<	<	X
ejpam-797	82	14	,	,	PUNCT
ejpam-797	82	15	then	then	ADV
ejpam-797	82	16	tx	tx	PROPN
ejpam-797	82	17	is	be	AUX
ejpam-797	82	18	said	say	VERB
ejpam-797	82	19	to	to	PART
ejpam-797	82	20	be	be	AUX
ejpam-797	82	21	cointegrated	cointegrate	VERB
ejpam-797	82	22	of	of	ADP
ejpam-797	82	23	order	order	NOUN
ejpam-797	82	24	r.	r.	NOUN
ejpam-797	82	25	this	this	PRON
ejpam-797	82	26	implies	imply	VERB
ejpam-797	82	27	that	that	SCONJ
ejpam-797	82	28	there	there	PRON
ejpam-797	82	29	are	be	VERB
ejpam-797	82	30	r	r	NOUN
ejpam-797	82	31	<	<	NOUN
ejpam-797	82	32	p	p	NOUN
ejpam-797	82	33	linear	linear	ADJ
ejpam-797	82	34	combinations	combination	NOUN
ejpam-797	82	35	of	of	ADP
ejpam-797	82	36	tx	tx	PROPN
ejpam-797	82	37	that	that	PRON
ejpam-797	82	38	are	be	AUX
ejpam-797	82	39	stationary	stationary	ADJ
ejpam-797	82	40	.	.	PUNCT
ejpam-797	83	1	granger	granger	PROPN
ejpam-797	83	2	’s	’s	PART
ejpam-797	83	3	representation	representation	NOUN
ejpam-797	83	4	theorem	theorem	VERB
ejpam-797	83	5	[	[	X
ejpam-797	83	6	7	7	X
ejpam-797	83	7	]	]	PUNCT
ejpam-797	83	8	shows	show	VERB
ejpam-797	83	9	that	that	SCONJ
ejpam-797	83	10	if	if	SCONJ
ejpam-797	83	11	tx	tx	PROPN
ejpam-797	83	12	is	be	AUX
ejpam-797	83	13	cointegrated	cointegrate	VERB
ejpam-797	83	14	of	of	ADP
ejpam-797	83	15	order	order	NOUN
ejpam-797	83	16	r	r	NOUN
ejpam-797	83	17	(	(	PUNCT
ejpam-797	83	18	the	the	DET
ejpam-797	83	19	p×p	p×p	PROPN
ejpam-797	83	20	matrix	matrix	NOUN
ejpam-797	83	21	π	π	NOUN
ejpam-797	83	22	has	have	AUX
ejpam-797	83	23	rank	rank	NOUN
ejpam-797	83	24	r	r	NOUN
ejpam-797	83	25	)	)	PUNCT
ejpam-797	83	26	,	,	PUNCT
ejpam-797	83	27	one	one	PRON
ejpam-797	83	28	can	can	AUX
ejpam-797	83	29	write	write	VERB
ejpam-797	83	30	αβ	αβ	PRON
ejpam-797	83	31	′π	′π	PROPN
ejpam-797	83	32	=	=	PUNCT
ejpam-797	83	33	,	,	PUNCT
ejpam-797	83	34	where	where	SCONJ
ejpam-797	83	35	both	both	DET
ejpam-797	83	36	α	α	NOUN
ejpam-797	83	37	and	and	CCONJ
ejpam-797	83	38	β	β	X
ejpam-797	83	39	are	be	AUX
ejpam-797	83	40	p×r	p×r	PROPN
ejpam-797	83	41	matrices	matrix	NOUN
ejpam-797	83	42	of	of	ADP
ejpam-797	83	43	full	full	ADJ
ejpam-797	83	44	column	column	NOUN
ejpam-797	83	45	rank	rank	NOUN
ejpam-797	83	46	.	.	PUNCT
ejpam-797	84	1	this	this	PRON
ejpam-797	84	2	and	and	CCONJ
ejpam-797	84	3	some	some	DET
ejpam-797	84	4	fairly	fairly	ADV
ejpam-797	84	5	general	general	ADJ
ejpam-797	84	6	assumptions	assumption	NOUN
ejpam-797	84	7	about	about	ADP
ejpam-797	84	8	initial	initial	ADJ
ejpam-797	84	9	distributions	distribution	NOUN
ejpam-797	84	10	allow	allow	VERB
ejpam-797	84	11	one	one	PRON
ejpam-797	84	12	to	to	PART
ejpam-797	84	13	write	write	VERB
ejpam-797	84	14	(	(	PUNCT
ejpam-797	84	15	1	1	NUM
ejpam-797	84	16	)	)	PUNCT
ejpam-797	84	17	as	as	ADP
ejpam-797	84	18	the	the	DET
ejpam-797	84	19	vector	vector	NOUN
ejpam-797	84	20	error	error	NOUN
ejpam-797	84	21	-	-	PUNCT
ejpam-797	84	22	correction	correction	NOUN
ejpam-797	84	23	model	model	NOUN
ejpam-797	84	24	(	(	PUNCT
ejpam-797	84	25	vecm	vecm	NOUN
ejpam-797	84	26	):	):	PUNCT
ejpam-797	84	27	n.	n.	PROPN
ejpam-797	84	28	morin	morin	PROPN
ejpam-797	84	29	/	/	SYM
ejpam-797	84	30	eur	eur	PROPN
ejpam-797	84	31	.	.	PUNCT
ejpam-797	85	1	j.	j.	PROPN
ejpam-797	85	2	pure	pure	PROPN
ejpam-797	85	3	appl	appl	PROPN
ejpam-797	85	4	.	.	PUNCT
ejpam-797	86	1	math	math	NOUN
ejpam-797	86	2	544	544	NUM
ejpam-797	86	3	1	1	NUM
ejpam-797	86	4	1	1	NUM
ejpam-797	86	5	1	1	NUM
ejpam-797	86	6	k	k	NOUN
ejpam-797	86	7	t	t	PROPN
ejpam-797	86	8	t	t	PROPN
ejpam-797	87	1	i	i	PRON
ejpam-797	87	2	t	t	X
ejpam-797	88	1	i	i	PRON
ejpam-797	88	2	t	t	NOUN
ejpam-797	89	1	t	t	X
ejpam-797	90	1	i	i	NOUN
ejpam-797	90	2	x	x	NOUN
ejpam-797	90	3	x	x	PUNCT
ejpam-797	90	4	x	x	PUNCT
ejpam-797	90	5	dαβ	dαβ	PROPN
ejpam-797	90	6	ε	ε	PROPN
ejpam-797	90	7	−	−	PROPN
ejpam-797	90	8	−	−	PROPN
ejpam-797	90	9	−	−	PROPN
ejpam-797	91	1	=	=	PUNCT
ejpam-797	91	2	′∆	′∆	VERB
ejpam-797	91	3	=	=	NOUN
ejpam-797	92	1	+	+	NUM
ejpam-797	92	2	γ	γ	X
ejpam-797	92	3	∆	∆	PROPN
ejpam-797	92	4	+	+	CCONJ
ejpam-797	92	5	φ	φ	PROPN
ejpam-797	92	6	+	+	NOUN
ejpam-797	92	7	∑	∑	PROPN
ejpam-797	92	8	.	.	PUNCT
ejpam-797	93	1	(	(	PUNCT
ejpam-797	93	2	4	4	X
ejpam-797	93	3	)	)	PUNCT
ejpam-797	93	4	the	the	DET
ejpam-797	93	5	matrix	matrix	NOUN
ejpam-797	93	6	β	β	NOUN
ejpam-797	93	7	contains	contain	VERB
ejpam-797	93	8	the	the	DET
ejpam-797	93	9	r	r	NOUN
ejpam-797	93	10	cointegrating	cointegrate	VERB
ejpam-797	93	11	vectors	vector	NOUN
ejpam-797	93	12	,	,	PUNCT
ejpam-797	93	13	and	and	CCONJ
ejpam-797	93	14	txβ	txβ	ADJ
ejpam-797	93	15	′	′	NUM
ejpam-797	93	16	are	be	AUX
ejpam-797	93	17	the	the	DET
ejpam-797	93	18	r	r	NOUN
ejpam-797	93	19	stationary	stationary	ADJ
ejpam-797	93	20	linear	linear	NOUN
ejpam-797	93	21	combinations	combination	NOUN
ejpam-797	93	22	of	of	ADP
ejpam-797	93	23	tx	tx	PROPN
ejpam-797	93	24	.	.	PUNCT
ejpam-797	94	1	the	the	DET
ejpam-797	94	2	matrix	matrix	NOUN
ejpam-797	94	3	β	β	X
ejpam-797	94	4	can	can	AUX
ejpam-797	94	5	be	be	AUX
ejpam-797	94	6	interpreted	interpret	VERB
ejpam-797	94	7	as	as	ADP
ejpam-797	94	8	r	r	NOUN
ejpam-797	94	9	equilibrium	equilibrium	NOUN
ejpam-797	94	10	relationships	relationship	NOUN
ejpam-797	94	11	among	among	ADP
ejpam-797	94	12	the	the	DET
ejpam-797	94	13	variables	variable	NOUN
ejpam-797	94	14	,	,	PUNCT
ejpam-797	94	15	and	and	CCONJ
ejpam-797	94	16	the	the	DET
ejpam-797	94	17	difference	difference	NOUN
ejpam-797	94	18	between	between	ADP
ejpam-797	94	19	the	the	DET
ejpam-797	94	20	current	current	ADJ
ejpam-797	94	21	value	value	NOUN
ejpam-797	94	22	of	of	ADP
ejpam-797	94	23	the	the	DET
ejpam-797	94	24	r	r	NOUN
ejpam-797	94	25	cointegrating	cointegrate	VERB
ejpam-797	94	26	relationships	relationship	NOUN
ejpam-797	94	27	,	,	PUNCT
ejpam-797	94	28	txβ	txβ	ADJ
ejpam-797	94	29	′	′	NOUN
ejpam-797	94	30	,	,	PUNCT
ejpam-797	94	31	and	and	CCONJ
ejpam-797	94	32	their	their	PRON
ejpam-797	94	33	expected	expect	VERB
ejpam-797	94	34	values	value	NOUN
ejpam-797	94	35	can	can	AUX
ejpam-797	94	36	be	be	AUX
ejpam-797	94	37	interpreted	interpret	VERB
ejpam-797	94	38	as	as	ADP
ejpam-797	94	39	measures	measure	NOUN
ejpam-797	94	40	of	of	ADP
ejpam-797	94	41	disequilibrium	disequilibrium	NOUN
ejpam-797	94	42	from	from	ADP
ejpam-797	94	43	the	the	DET
ejpam-797	94	44	r	r	NOUN
ejpam-797	94	45	different	different	ADJ
ejpam-797	94	46	long	long	ADJ
ejpam-797	94	47	-	-	PUNCT
ejpam-797	94	48	run	run	NOUN
ejpam-797	94	49	relationships	relationship	NOUN
ejpam-797	94	50	.	.	PUNCT
ejpam-797	95	1	the	the	DET
ejpam-797	95	2	matrix	matrix	NOUN
ejpam-797	95	3	α	α	NOUN
ejpam-797	95	4	in	in	ADP
ejpam-797	95	5	(	(	PUNCT
ejpam-797	95	6	4	4	X
ejpam-797	95	7	)	)	PUNCT
ejpam-797	95	8	measures	measure	NOUN
ejpam-797	95	9	how	how	SCONJ
ejpam-797	95	10	quickly	quickly	ADV
ejpam-797	95	11	tx∆	tx∆	NOUN
ejpam-797	95	12	reacts	react	VERB
ejpam-797	95	13	to	to	ADP
ejpam-797	95	14	the	the	DET
ejpam-797	95	15	deviation	deviation	NOUN
ejpam-797	95	16	from	from	ADP
ejpam-797	95	17	equilibrium	equilibrium	NOUN
ejpam-797	95	18	implied	imply	VERB
ejpam-797	95	19	by	by	ADP
ejpam-797	95	20	txβ	txβ	ADJ
ejpam-797	95	21	′	′	NUM
ejpam-797	95	22	.	.	PUNCT
ejpam-797	96	1	given	give	VERB
ejpam-797	96	2	a	a	DET
ejpam-797	96	3	p×r	p×r	PROPN
ejpam-797	96	4	matrix	matrix	NOUN
ejpam-797	96	5	of	of	ADP
ejpam-797	96	6	full	full	ADJ
ejpam-797	96	7	column	column	NOUN
ejpam-797	96	8	rank	rank	NOUN
ejpam-797	96	9	,	,	PUNCT
ejpam-797	96	10	a	a	DET
ejpam-797	96	11	,	,	PUNCT
ejpam-797	96	12	an	an	DET
ejpam-797	96	13	orthogonal	orthogonal	ADJ
ejpam-797	96	14	complement	complement	NOUN
ejpam-797	96	15	of	of	ADP
ejpam-797	96	16	a	a	PRON
ejpam-797	96	17	,	,	PUNCT
ejpam-797	96	18	denoted	denote	VERB
ejpam-797	96	19	a⊥	a⊥	NOUN
ejpam-797	96	20	,	,	PUNCT
ejpam-797	96	21	is	be	AUX
ejpam-797	96	22	a	a	DET
ejpam-797	96	23	p×(p	p×(p	ADJ
ejpam-797	96	24	-	-	PUNCT
ejpam-797	96	25	r	r	NOUN
ejpam-797	96	26	)	)	PUNCT
ejpam-797	96	27	matrix	matrix	NOUN
ejpam-797	96	28	of	of	ADP
ejpam-797	96	29	full	full	ADJ
ejpam-797	96	30	column	column	NOUN
ejpam-797	96	31	rank	rank	NOUN
ejpam-797	96	32	such	such	ADJ
ejpam-797	96	33	that	that	PRON
ejpam-797	96	34	0a	0a	PROPN
ejpam-797	96	35	a⊥′	a⊥′	PROPN
ejpam-797	97	1	=	=	PUNCT
ejpam-797	97	2	.	.	PUNCT
ejpam-797	98	1	it	it	PRON
ejpam-797	98	2	is	be	AUX
ejpam-797	98	3	often	often	ADV
ejpam-797	98	4	necessary	necessary	ADJ
ejpam-797	98	5	to	to	PART
ejpam-797	98	6	calculate	calculate	VERB
ejpam-797	98	7	the	the	DET
ejpam-797	98	8	orthogonal	orthogonal	ADJ
ejpam-797	98	9	complements	complement	NOUN
ejpam-797	98	10	of	of	ADP
ejpam-797	98	11	β	β	PROPN
ejpam-797	98	12	and	and	CCONJ
ejpam-797	98	13	α	α	NOUN
ejpam-797	98	14	in	in	ADP
ejpam-797	98	15	order	order	NOUN
ejpam-797	98	16	to	to	PART
ejpam-797	98	17	form	form	VERB
ejpam-797	98	18	the	the	DET
ejpam-797	98	19	p	p	NOUN
ejpam-797	98	20	-	-	PUNCT
ejpam-797	98	21	r	r	NOUN
ejpam-797	98	22	common	common	ADJ
ejpam-797	98	23	i(1	i(1	PROPN
ejpam-797	98	24	)	)	PUNCT
ejpam-797	98	25	stochastic	stochastic	ADJ
ejpam-797	98	26	trends	trend	NOUN
ejpam-797	98	27	of	of	ADP
ejpam-797	98	28	a	a	DET
ejpam-797	98	29	cointegrated	cointegrate	VERB
ejpam-797	98	30	system	system	NOUN
ejpam-797	98	31	;	;	PUNCT
ejpam-797	98	32	for	for	ADP
ejpam-797	98	33	example	example	NOUN
ejpam-797	98	34	,	,	PUNCT
ejpam-797	98	35	gonzalo	gonzalo	PROPN
ejpam-797	98	36	and	and	CCONJ
ejpam-797	98	37	granger	granger	PROPN
ejpam-797	98	38	[	[	X
ejpam-797	98	39	12	12	NUM
ejpam-797	98	40	]	]	X
ejpam-797	98	41	propose	propose	VERB
ejpam-797	98	42	txα⊥′	txα⊥′	PROPN
ejpam-797	98	43	as	as	ADP
ejpam-797	98	44	the	the	DET
ejpam-797	98	45	common	common	ADJ
ejpam-797	98	46	stochastic	stochastic	ADJ
ejpam-797	98	47	trends	trend	NOUN
ejpam-797	98	48	and	and	CCONJ
ejpam-797	98	49	(	(	PUNCT
ejpam-797	98	50	)	)	PUNCT
ejpam-797	98	51	1	1	NUM
ejpam-797	98	52	txβ	txβ	NOUN
ejpam-797	98	53	α	α	X
ejpam-797	98	54	β	β	X
ejpam-797	98	55	α−	α−	ADP
ejpam-797	98	56	⊥	⊥	PROPN
ejpam-797	98	57	⊥	⊥	PROPN
ejpam-797	99	1	⊥	⊥	ADJ
ejpam-797	99	2	⊥′	⊥′	PROPN
ejpam-797	99	3	′	′	NUM
ejpam-797	99	4	as	as	ADP
ejpam-797	99	5	the	the	DET
ejpam-797	99	6	permanent	permanent	ADJ
ejpam-797	99	7	components	component	NOUN
ejpam-797	99	8	for	for	ADP
ejpam-797	99	9	a	a	DET
ejpam-797	99	10	cointegrated	cointegrate	VERB
ejpam-797	99	11	system	system	NOUN
ejpam-797	99	12	;	;	PUNCT
ejpam-797	99	13	johansen	johansen	PROPN
ejpam-797	100	1	[	[	X
ejpam-797	100	2	21	21	NUM
ejpam-797	100	3	]	]	PUNCT
ejpam-797	100	4	proposes	propose	VERB
ejpam-797	100	5	the	the	DET
ejpam-797	100	6	random	random	ADJ
ejpam-797	100	7	walks	walk	NOUN
ejpam-797	100	8	(	(	PUNCT
ejpam-797	100	9	)	)	PUNCT
ejpam-797	100	10	tl	tl	PROPN
ejpam-797	100	11	xα⊥′	xα⊥′	PROPN
ejpam-797	100	12	γ	γ	PROPN
ejpam-797	100	13	as	as	ADP
ejpam-797	100	14	a	a	DET
ejpam-797	100	15	cointegrated	cointegrate	VERB
ejpam-797	100	16	system	system	NOUN
ejpam-797	100	17	’s	’s	PART
ejpam-797	100	18	common	common	ADJ
ejpam-797	100	19	stochastic	stochastic	ADJ
ejpam-797	100	20	trends	trend	NOUN
ejpam-797	100	21	and	and	CCONJ
ejpam-797	100	22	(	(	PUNCT
ejpam-797	100	23	)	)	PUNCT
ejpam-797	100	24	(	(	PUNCT
ejpam-797	100	25	)	)	PUNCT
ejpam-797	100	26	(	(	PUNCT
ejpam-797	100	27	)	)	SYM
ejpam-797	100	28	1	1	NUM
ejpam-797	100	29	1	1	NUM
ejpam-797	100	30	tl	tl	PROPN
ejpam-797	100	31	xβ	xβ	PROPN
ejpam-797	100	32	α	α	PROPN
ejpam-797	100	33	β	β	VERB
ejpam-797	100	34	α	α	NOUN
ejpam-797	100	35	−	−	PROPN
ejpam-797	101	1	⊥	⊥	PROPN
ejpam-797	101	2	⊥	⊥	PROPN
ejpam-797	101	3	⊥	⊥	X
ejpam-797	101	4	⊥′	⊥′	PROPN
ejpam-797	101	5	′γ	′γ	VERB
ejpam-797	101	6	γ	γ	NOUN
ejpam-797	101	7	as	as	ADP
ejpam-797	101	8	its	its	PRON
ejpam-797	101	9	permanent	permanent	ADJ
ejpam-797	101	10	components	component	NOUN
ejpam-797	101	11	.	.	PUNCT
ejpam-797	102	1	several	several	ADJ
ejpam-797	102	2	methods	method	NOUN
ejpam-797	102	3	have	have	AUX
ejpam-797	102	4	been	be	AUX
ejpam-797	102	5	proposed	propose	VERB
ejpam-797	102	6	for	for	ADP
ejpam-797	102	7	identifying	identify	VERB
ejpam-797	102	8	,	,	PUNCT
ejpam-797	102	9	estimating	estimating	NOUN
ejpam-797	102	10	,	,	PUNCT
ejpam-797	102	11	and	and	CCONJ
ejpam-797	102	12	conducting	conduct	VERB
ejpam-797	102	13	inference	inference	NOUN
ejpam-797	102	14	in	in	ADP
ejpam-797	102	15	a	a	DET
ejpam-797	102	16	cointegrated	cointegrate	VERB
ejpam-797	102	17	system	system	NOUN
ejpam-797	102	18	(	(	PUNCT
ejpam-797	102	19	see	see	VERB
ejpam-797	102	20	[	[	X
ejpam-797	102	21	11	11	NUM
ejpam-797	102	22	]	]	PUNCT
ejpam-797	102	23	and	and	CCONJ
ejpam-797	102	24	[	[	X
ejpam-797	102	25	45	45	NUM
ejpam-797	102	26	]	]	PUNCT
ejpam-797	102	27	for	for	ADP
ejpam-797	102	28	explanations	explanation	NOUN
ejpam-797	102	29	of	of	ADP
ejpam-797	102	30	several	several	ADJ
ejpam-797	102	31	methods	method	NOUN
ejpam-797	102	32	and	and	CCONJ
ejpam-797	102	33	evaluations	evaluation	NOUN
ejpam-797	102	34	of	of	ADP
ejpam-797	102	35	their	their	PRON
ejpam-797	102	36	properties	property	NOUN
ejpam-797	102	37	)	)	PUNCT
ejpam-797	102	38	.	.	PUNCT
ejpam-797	103	1	this	this	DET
ejpam-797	103	2	paper	paper	NOUN
ejpam-797	103	3	uses	use	VERB
ejpam-797	103	4	the	the	DET
ejpam-797	103	5	efficient	efficient	ADJ
ejpam-797	103	6	maximum	maximum	ADJ
ejpam-797	103	7	likelihood	likelihood	NOUN
ejpam-797	103	8	framework	framework	NOUN
ejpam-797	103	9	of	of	ADP
ejpam-797	103	10	johansen	johansen	PROPN
ejpam-797	103	11	[	[	X
ejpam-797	103	12	19	19	NUM
ejpam-797	103	13	]	]	PUNCT
ejpam-797	103	14	.	.	PUNCT
ejpam-797	104	1	the	the	DET
ejpam-797	104	2	log	log	NOUN
ejpam-797	104	3	-	-	PUNCT
ejpam-797	104	4	likelihood	likelihood	NOUN
ejpam-797	104	5	function	function	NOUN
ejpam-797	104	6	for	for	ADP
ejpam-797	104	7	the	the	DET
ejpam-797	104	8	parameters	parameter	NOUN
ejpam-797	104	9	in	in	ADP
ejpam-797	104	10	(	(	PUNCT
ejpam-797	104	11	4	4	NUM
ejpam-797	104	12	)	)	PUNCT
ejpam-797	104	13	is	be	AUX
ejpam-797	104	14	(	(	PUNCT
ejpam-797	104	15	)	)	PUNCT
ejpam-797	104	16	(	(	PUNCT
ejpam-797	104	17	)	)	PUNCT
ejpam-797	104	18	(	(	PUNCT
ejpam-797	104	19	)	)	PUNCT
ejpam-797	104	20	1	1	NUM
ejpam-797	104	21	1	1	NUM
ejpam-797	104	22	1	1	NUM
ejpam-797	104	23	1	1	NUM
ejpam-797	104	24	1	1	NUM
ejpam-797	104	25	1	1	NUM
ejpam-797	104	26	11	11	NUM
ejpam-797	104	27	1	1	NUM
ejpam-797	104	28	1	1	NUM
ejpam-797	104	29	log	log	NOUN
ejpam-797	104	30	,	,	PUNCT
ejpam-797	104	31	,	,	PUNCT
ejpam-797	104	32	,	,	PUNCT
ejpam-797	104	33	,	,	PUNCT
ejpam-797	104	34	,	,	PUNCT
ejpam-797	104	35	,	,	PUNCT
ejpam-797	104	36	log	log	VERB
ejpam-797	104	37	2	2	NUM
ejpam-797	104	38	log	log	NOUN
ejpam-797	104	39	...	...	PUNCT
ejpam-797	104	40	2	2	NUM
ejpam-797	104	41	2	2	NUM
ejpam-797	104	42	1	1	NUM
ejpam-797	104	43	...	...	SYM
ejpam-797	105	1	2	2	NUM
ejpam-797	105	2	k	k	NOUN
ejpam-797	105	3	t	t	PROPN
ejpam-797	106	1	k	k	PROPN
ejpam-797	106	2	t	t	PROPN
ejpam-797	106	3	t	t	PROPN
ejpam-797	107	1	i	i	PRON
ejpam-797	107	2	t	t	VERB
ejpam-797	108	1	i	i	PRON
ejpam-797	108	2	ti	ti	NOUN
ejpam-797	109	1	t	t	PROPN
ejpam-797	109	2	k	k	PROPN
ejpam-797	109	3	t	t	PROPN
ejpam-797	109	4	t	t	PROPN
ejpam-797	110	1	i	i	PRON
ejpam-797	110	2	t	t	VERB
ejpam-797	110	3	i	i	PRON
ejpam-797	110	4	ti	ti	VERB
ejpam-797	110	5	tp	tp	ADP
ejpam-797	110	6	tl	tl	PROPN
ejpam-797	110	7	x	x	PUNCT
ejpam-797	110	8	x	x	PUNCT
ejpam-797	110	9	x	x	PUNCT
ejpam-797	111	1	d	d	NOUN
ejpam-797	111	2	x	x	X
ejpam-797	111	3	x	x	PUNCT
ejpam-797	111	4	x	x	PUNCT
ejpam-797	111	5	d	d	NOUN
ejpam-797	111	6	α	α	X
ejpam-797	111	7	β	β	X
ejpam-797	111	8	π	π	NOUN
ejpam-797	111	9	αβ	αβ	INTJ
ejpam-797	112	1	αβ	αβ	INTJ
ejpam-797	112	2	−	−	NOUN
ejpam-797	113	1	−	−	NOUN
ejpam-797	113	2	−	−	PROPN
ejpam-797	113	3	−=	−=	NOUN
ejpam-797	113	4	=	=	PUNCT
ejpam-797	113	5	−−	−−	NOUN
ejpam-797	113	6	−	−	PROPN
ejpam-797	113	7	−=	−=	NOUN
ejpam-797	113	8	ω	ω	NUM
ejpam-797	113	9	γ	γ	PROPN
ejpam-797	113	10	γ	γ	PROPN
ejpam-797	113	11	φ	φ	X
ejpam-797	113	12	=	=	SYM
ejpam-797	114	1	−	−	PROPN
ejpam-797	114	2	−	−	PROPN
ejpam-797	114	3	ω	ω	NUM
ejpam-797	114	4	′	′	PROPN
ejpam-797	114	5	′−	′−	PROPN
ejpam-797	114	6	∆	∆	X
ejpam-797	115	1	−	−	NOUN
ejpam-797	115	2	−	−	PROPN
ejpam-797	115	3	γ	γ	PROPN
ejpam-797	115	4	∆	∆	PROPN
ejpam-797	115	5	−	−	X
ejpam-797	115	6	φ	φ	ADP
ejpam-797	115	7			NUM
ejpam-797	115	8	′×	′×	PROPN
ejpam-797	115	9	ω	ω	NUM
ejpam-797	115	10	∆	∆	PROPN
ejpam-797	115	11	−	−	NOUN
ejpam-797	115	12	−	−	PROPN
ejpam-797	115	13	γ	γ	PROPN
ejpam-797	115	14	∆	∆	PROPN
ejpam-797	115	15	−	−	PROPN
ejpam-797	115	16	φ	φ	PROPN
ejpam-797	115	17			CCONJ
ejpam-797	115	18	∑	∑	PROPN
ejpam-797	115	19	∑	∑	PROPN
ejpam-797	115	20	∑	∑	PROPN
ejpam-797	115	21			NUM
ejpam-797	115	22	.	.	PUNCT
ejpam-797	116	1	(	(	PUNCT
ejpam-797	116	2	5	5	X
ejpam-797	116	3	)	)	PUNCT
ejpam-797	116	4	maximum	maximum	ADJ
ejpam-797	116	5	likelihood	likelihood	NOUN
ejpam-797	116	6	estimation	estimation	NOUN
ejpam-797	116	7	of	of	ADP
ejpam-797	116	8	the	the	DET
ejpam-797	116	9	parameters	parameter	NOUN
ejpam-797	116	10	in	in	ADP
ejpam-797	116	11	(	(	PUNCT
ejpam-797	116	12	5	5	NUM
ejpam-797	116	13	)	)	PUNCT
ejpam-797	116	14	involves	involve	VERB
ejpam-797	116	15	successively	successively	ADV
ejpam-797	116	16	concentrating	concentrate	VERB
ejpam-797	116	17	the	the	DET
ejpam-797	116	18	likelihood	likelihood	NOUN
ejpam-797	116	19	function	function	NOUN
ejpam-797	116	20	until	until	SCONJ
ejpam-797	116	21	it	it	PRON
ejpam-797	116	22	is	be	AUX
ejpam-797	116	23	a	a	DET
ejpam-797	116	24	function	function	NOUN
ejpam-797	116	25	solely	solely	ADV
ejpam-797	116	26	of	of	ADP
ejpam-797	116	27	β	β	NOUN
ejpam-797	116	28	.	.	PUNCT
ejpam-797	117	1	to	to	PART
ejpam-797	117	2	do	do	AUX
ejpam-797	117	3	this	this	DET
ejpam-797	117	4	one	one	NOUN
ejpam-797	117	5	forms	form	NOUN
ejpam-797	117	6	two	two	NUM
ejpam-797	117	7	sets	set	NOUN
ejpam-797	117	8	of	of	ADP
ejpam-797	117	9	p×1	p×1	ADJ
ejpam-797	117	10	residual	residual	ADJ
ejpam-797	117	11	vectors	vector	NOUN
ejpam-797	117	12	,	,	PUNCT
ejpam-797	117	13	0tr	0tr	NOUN
ejpam-797	117	14	and	and	CCONJ
ejpam-797	117	15	1tr	1tr	ADJ
ejpam-797	117	16	,	,	PUNCT
ejpam-797	117	17	by	by	ADP
ejpam-797	117	18	regressing	regress	VERB
ejpam-797	117	19	,	,	PUNCT
ejpam-797	117	20	in	in	ADP
ejpam-797	117	21	turn	turn	NOUN
ejpam-797	117	22	,	,	PUNCT
ejpam-797	117	23	tx∆	tx∆	NOUN
ejpam-797	117	24	and	and	CCONJ
ejpam-797	117	25	1tx	1tx	ADJ
ejpam-797	117	26	−	−	NOUN
ejpam-797	117	27	on	on	ADP
ejpam-797	117	28	k-1	k-1	PROPN
ejpam-797	117	29	lags	lag	VERB
ejpam-797	117	30	of	of	ADP
ejpam-797	117	31	tx∆	tx∆	NOUN
ejpam-797	117	32	and	and	CCONJ
ejpam-797	117	33	the	the	DET
ejpam-797	117	34	deterministic	deterministic	ADJ
ejpam-797	117	35	components	component	NOUN
ejpam-797	117	36	.	.	PUNCT
ejpam-797	118	1	the	the	DET
ejpam-797	118	2	vecm	vecm	NOUN
ejpam-797	118	3	in	in	ADP
ejpam-797	118	4	(	(	PUNCT
ejpam-797	118	5	4	4	X
ejpam-797	118	6	)	)	PUNCT
ejpam-797	118	7	can	can	AUX
ejpam-797	118	8	then	then	ADV
ejpam-797	118	9	be	be	AUX
ejpam-797	118	10	written	write	VERB
ejpam-797	118	11	as	as	ADP
ejpam-797	118	12	0	0	NUM
ejpam-797	118	13	1	1	NUM
ejpam-797	118	14	,	,	PUNCT
ejpam-797	118	15	1	1	NUM
ejpam-797	118	16	,	,	PUNCT
ejpam-797	118	17	,	,	PUNCT
ejpam-797	118	18	t	t	PROPN
ejpam-797	118	19	t	t	PROPN
ejpam-797	118	20	tr	tr	NOUN
ejpam-797	118	21	r	r	PROPN
ejpam-797	118	22	t	t	PROPN
ejpam-797	118	23	tαβ	tαβ	NOUN
ejpam-797	118	24	ε′=	ε′=	NOUN
ejpam-797	118	25	+	+	CCONJ
ejpam-797	119	1	=	=	SYM
ejpam-797	119	2			NUM
ejpam-797	119	3	.	.	PUNCT
ejpam-797	120	1	(	(	PUNCT
ejpam-797	120	2	6	6	X
ejpam-797	120	3	)	)	PUNCT
ejpam-797	120	4	this	this	DET
ejpam-797	120	5	equation	equation	NOUN
ejpam-797	120	6	is	be	AUX
ejpam-797	120	7	the	the	DET
ejpam-797	120	8	basis	basis	NOUN
ejpam-797	120	9	from	from	ADP
ejpam-797	120	10	which	which	PRON
ejpam-797	120	11	one	one	PRON
ejpam-797	120	12	derives	derive	VERB
ejpam-797	120	13	the	the	DET
ejpam-797	120	14	hypothesis	hypothesis	NOUN
ejpam-797	120	15	tests	test	VERB
ejpam-797	120	16	on	on	ADP
ejpam-797	120	17	the	the	DET
ejpam-797	120	18	cointegrating	cointegrate	VERB
ejpam-797	120	19	vectors	vector	NOUN
ejpam-797	120	20	β	β	VERB
ejpam-797	120	21	,	,	PUNCT
ejpam-797	120	22	on	on	ADP
ejpam-797	120	23	the	the	DET
ejpam-797	120	24	disequilibrium	disequilibrium	NOUN
ejpam-797	120	25	adjustment	adjustment	NOUN
ejpam-797	120	26	parameters	parameter	NOUN
ejpam-797	120	27	α	α	X
ejpam-797	120	28	,	,	PUNCT
ejpam-797	120	29	and	and	CCONJ
ejpam-797	120	30	on	on	ADP
ejpam-797	120	31	their	their	PRON
ejpam-797	120	32	orthogonal	orthogonal	ADJ
ejpam-797	120	33	complements	complement	NOUN
ejpam-797	120	34	,	,	PUNCT
ejpam-797	120	35	β⊥	β⊥	PROPN
ejpam-797	120	36	and	and	CCONJ
ejpam-797	120	37	α⊥	α⊥	PROPN
ejpam-797	120	38	.	.	PUNCT
ejpam-797	121	1	the	the	DET
ejpam-797	121	2	equation	equation	NOUN
ejpam-797	121	3	(	(	PUNCT
ejpam-797	121	4	6	6	NUM
ejpam-797	121	5	)	)	PUNCT
ejpam-797	121	6	has	have	VERB
ejpam-797	121	7	two	two	NUM
ejpam-797	121	8	unknown	unknown	ADJ
ejpam-797	121	9	parameter	parameter	NOUN
ejpam-797	121	10	matrices	matrix	NOUN
ejpam-797	121	11	,	,	PUNCT
ejpam-797	121	12	α	α	NOUN
ejpam-797	121	13	and	and	CCONJ
ejpam-797	121	14	β	β	X
ejpam-797	121	15	.	.	PUNCT
ejpam-797	122	1	maximizing	maximize	VERB
ejpam-797	122	2	the	the	DET
ejpam-797	122	3	likelihood	likelihood	NOUN
ejpam-797	122	4	function	function	NOUN
ejpam-797	122	5	is	be	AUX
ejpam-797	122	6	equivalent	equivalent	ADJ
ejpam-797	122	7	to	to	ADP
ejpam-797	122	8	estimating	estimate	VERB
ejpam-797	122	9	the	the	DET
ejpam-797	122	10	parameters	parameter	NOUN
ejpam-797	122	11	in	in	ADP
ejpam-797	122	12	(	(	PUNCT
ejpam-797	122	13	6	6	NUM
ejpam-797	122	14	)	)	PUNCT
ejpam-797	122	15	via	via	ADP
ejpam-797	122	16	reduced	reduce	VERB
ejpam-797	122	17	rank	rank	NOUN
ejpam-797	122	18	regression	regression	NOUN
ejpam-797	122	19	methods	method	NOUN
ejpam-797	122	20	.	.	PUNCT
ejpam-797	123	1	since	since	SCONJ
ejpam-797	123	2	this	this	PRON
ejpam-797	123	3	involves	involve	VERB
ejpam-797	123	4	the	the	DET
ejpam-797	123	5	product	product	NOUN
ejpam-797	123	6	of	of	ADP
ejpam-797	123	7	two	two	NUM
ejpam-797	123	8	unknown	unknown	ADJ
ejpam-797	123	9	full	full	ADJ
ejpam-797	123	10	-	-	PUNCT
ejpam-797	123	11	column	column	NOUN
ejpam-797	123	12	rank	rank	NOUN
ejpam-797	123	13	matrices	matrix	NOUN
ejpam-797	123	14	in	in	ADP
ejpam-797	123	15	(	(	PUNCT
ejpam-797	123	16	6	6	NUM
ejpam-797	123	17	)	)	PUNCT
ejpam-797	123	18	,	,	PUNCT
ejpam-797	123	19	estimating	estimate	VERB
ejpam-797	123	20	these	these	DET
ejpam-797	123	21	parameters	parameter	NOUN
ejpam-797	123	22	requires	require	VERB
ejpam-797	123	23	solving	solve	VERB
ejpam-797	123	24	an	an	DET
ejpam-797	123	25	eigenvalue	eigenvalue	NOUN
ejpam-797	123	26	problem	problem	NOUN
ejpam-797	123	27	.	.	PUNCT
ejpam-797	124	1	defining	define	VERB
ejpam-797	124	2	the	the	DET
ejpam-797	124	3	moment	moment	NOUN
ejpam-797	124	4	matrices	matrix	NOUN
ejpam-797	124	5	for	for	ADP
ejpam-797	124	6	the	the	DET
ejpam-797	124	7	residual	residual	ADJ
ejpam-797	124	8	series	series	NOUN
ejpam-797	124	9	,	,	PUNCT
ejpam-797	124	10	n.	n.	PROPN
ejpam-797	124	11	morin	morin	PROPN
ejpam-797	124	12	/	/	SYM
ejpam-797	124	13	eur	eur	PROPN
ejpam-797	124	14	.	.	PUNCT
ejpam-797	125	1	j.	j.	PROPN
ejpam-797	125	2	pure	pure	PROPN
ejpam-797	125	3	appl	appl	PROPN
ejpam-797	125	4	.	.	PUNCT
ejpam-797	126	1	math	math	NOUN
ejpam-797	126	2	545	545	NUM
ejpam-797	126	3	1	1	NUM
ejpam-797	126	4	1	1	NUM
ejpam-797	126	5	,	,	PUNCT
ejpam-797	126	6	,	,	PUNCT
ejpam-797	126	7	0,1	0,1	NUM
ejpam-797	126	8	t	t	NOUN
ejpam-797	126	9	ij	ij	INTJ
ejpam-797	126	10	it	it	PRON
ejpam-797	127	1	ij	ij	INTJ
ejpam-797	127	2	t	t	NOUN
ejpam-797	127	3	s	s	NOUN
ejpam-797	127	4	r	r	NOUN
ejpam-797	127	5	r	r	NOUN
ejpam-797	128	1	i	i	NOUN
ejpam-797	128	2	j	j	PROPN
ejpam-797	128	3	t	t	PROPN
ejpam-797	129	1	=	=	PUNCT
ejpam-797	129	2	′=	′=	PROPN
ejpam-797	129	3	=	=	PRON
ejpam-797	129	4	∑	∑	PROPN
ejpam-797	129	5	,	,	PUNCT
ejpam-797	129	6	(	(	PUNCT
ejpam-797	129	7	7	7	X
ejpam-797	129	8	)	)	PUNCT
ejpam-797	129	9	for	for	ADP
ejpam-797	129	10	a	a	DET
ejpam-797	129	11	given	give	VERB
ejpam-797	129	12	set	set	NOUN
ejpam-797	129	13	of	of	ADP
ejpam-797	129	14	cointegrating	cointegrate	VERB
ejpam-797	129	15	vectors	vector	NOUN
ejpam-797	129	16	,	,	PUNCT
ejpam-797	129	17	β	β	X
ejpam-797	129	18	,	,	PUNCT
ejpam-797	129	19	one	one	NUM
ejpam-797	129	20	estimates	estimate	VERB
ejpam-797	129	21	the	the	DET
ejpam-797	129	22	adjustment	adjustment	NOUN
ejpam-797	129	23	parameters	parameter	NOUN
ejpam-797	129	24	,	,	PUNCT
ejpam-797	129	25	α,	α,	NUM
ejpam-797	129	26	by	by	ADP
ejpam-797	129	27	regressing	regress	VERB
ejpam-797	129	28	0tr	0tr	NOUN
ejpam-797	129	29	on	on	ADP
ejpam-797	129	30	1trβ	1trβ	NUM
ejpam-797	129	31	′	′	NOUN
ejpam-797	129	32	to	to	PART
ejpam-797	129	33	get	get	VERB
ejpam-797	129	34	(	(	PUNCT
ejpam-797	129	35	)	)	PUNCT
ejpam-797	129	36	(	(	PUNCT
ejpam-797	129	37	)	)	PUNCT
ejpam-797	129	38	1	1	NUM
ejpam-797	129	39	01	01	NUM
ejpam-797	129	40	11ˆ	11ˆ	NUM
ejpam-797	129	41	s	s	PART
ejpam-797	129	42	sα	sα	ADV
ejpam-797	129	43	β	β	X
ejpam-797	129	44	β	β	X
ejpam-797	129	45	β	β	X
ejpam-797	129	46	β	β	X
ejpam-797	129	47	−′=	−′=	PROPN
ejpam-797	129	48	.	.	PUNCT
ejpam-797	130	1	(	(	PUNCT
ejpam-797	130	2	8)	8)	NUM
ejpam-797	130	3	the	the	DET
ejpam-797	130	4	maximum	maximum	ADJ
ejpam-797	130	5	likelihood	likelihood	NOUN
ejpam-797	130	6	estimator	estimator	NOUN
ejpam-797	130	7	for	for	ADP
ejpam-797	130	8	the	the	DET
ejpam-797	130	9	residual	residual	ADJ
ejpam-797	130	10	variance	variance	NOUN
ejpam-797	130	11	-	-	PUNCT
ejpam-797	130	12	covariance	covariance	NOUN
ejpam-797	130	13	matrix	matrix	NOUN
ejpam-797	130	14	is	be	AUX
ejpam-797	130	15	(	(	PUNCT
ejpam-797	130	16	)	)	PUNCT
ejpam-797	130	17	(	(	PUNCT
ejpam-797	130	18	)	)	PUNCT
ejpam-797	131	1	1	1	NUM
ejpam-797	131	2	00	00	NUM
ejpam-797	131	3	01	01	NUM
ejpam-797	131	4	11	11	NUM
ejpam-797	131	5	10	10	NUM
ejpam-797	131	6	ˆ	ˆ	NOUN
ejpam-797	131	7	s	s	NOUN
ejpam-797	131	8	s	s	NOUN
ejpam-797	131	9	s	s	X
ejpam-797	131	10	sβ	sβ	INTJ
ejpam-797	131	11	β	β	X
ejpam-797	131	12	β	β	X
ejpam-797	131	13	β	β	X
ejpam-797	131	14	β−′	β−′	PROPN
ejpam-797	131	15	′ω	′ω	NOUN
ejpam-797	131	16	=	=	SYM
ejpam-797	131	17	−	−	PROPN
ejpam-797	131	18	.	.	PUNCT
ejpam-797	132	1	(	(	PUNCT
ejpam-797	132	2	9	9	NUM
ejpam-797	132	3	)	)	PUNCT
ejpam-797	132	4	as	as	SCONJ
ejpam-797	132	5	shown	show	VERB
ejpam-797	132	6	in	in	ADP
ejpam-797	132	7	[	[	X
ejpam-797	132	8	19	19	NUM
ejpam-797	132	9	]	]	PUNCT
ejpam-797	132	10	,	,	PUNCT
ejpam-797	132	11	one	one	PRON
ejpam-797	132	12	may	may	AUX
ejpam-797	132	13	write	write	VERB
ejpam-797	132	14	the	the	DET
ejpam-797	132	15	likelihood	likelihood	NOUN
ejpam-797	132	16	function	function	NOUN
ejpam-797	132	17	,	,	PUNCT
ejpam-797	132	18	apart	apart	ADV
ejpam-797	132	19	from	from	ADP
ejpam-797	132	20	a	a	DET
ejpam-797	132	21	constant	constant	ADJ
ejpam-797	132	22	,	,	PUNCT
ejpam-797	132	23	as	as	ADP
ejpam-797	132	24	(	(	PUNCT
ejpam-797	132	25	)	)	PUNCT
ejpam-797	132	26	(	(	PUNCT
ejpam-797	132	27	)	)	PUNCT
ejpam-797	132	28	2	2	NUM
ejpam-797	132	29	max	max	NOUN
ejpam-797	132	30	ˆtl	ˆtl	NOUN
ejpam-797	132	31	β	β	X
ejpam-797	132	32	β−	β−	PUNCT
ejpam-797	133	1	=	=	SYM
ejpam-797	133	2	ω	ω	PROPN
ejpam-797	133	3	,	,	PUNCT
ejpam-797	133	4	(	(	PUNCT
ejpam-797	133	5	10	10	NUM
ejpam-797	133	6	)	)	PUNCT
ejpam-797	133	7	which	which	PRON
ejpam-797	133	8	can	can	AUX
ejpam-797	133	9	be	be	AUX
ejpam-797	133	10	expressed	express	VERB
ejpam-797	133	11	as	as	ADP
ejpam-797	133	12	a	a	DET
ejpam-797	133	13	function	function	NOUN
ejpam-797	133	14	of	of	ADP
ejpam-797	133	15	β̂	β̂	NUM
ejpam-797	133	16	,	,	PUNCT
ejpam-797	133	17	(	(	PUNCT
ejpam-797	133	18	)	)	PUNCT
ejpam-797	133	19	1	1	NUM
ejpam-797	133	20	2	2	NUM
ejpam-797	133	21	00	00	NUM
ejpam-797	133	22	11	11	NUM
ejpam-797	133	23	10	10	NUM
ejpam-797	133	24	00	00	NUM
ejpam-797	133	25	01	01	NUM
ejpam-797	133	26	max	max	PROPN
ejpam-797	133	27	11	11	NUM
ejpam-797	133	28	ˆ	ˆ	NOUN
ejpam-797	133	29	ˆ	ˆ	NOUN
ejpam-797	133	30	ˆ	ˆ	NOUN
ejpam-797	133	31	ˆ	ˆ	NOUN
ejpam-797	133	32	ˆ	ˆ	NOUN
ejpam-797	133	33	ˆ	ˆ	NOUN
ejpam-797	133	34	ˆ	ˆ	ADP
ejpam-797	133	35	t	t	NOUN
ejpam-797	133	36	s	s	NOUN
ejpam-797	133	37	s	s	NOUN
ejpam-797	133	38	s	s	X
ejpam-797	133	39	s	s	NOUN
ejpam-797	133	40	s	s	NOUN
ejpam-797	133	41	l	l	NOUN
ejpam-797	133	42	s	s	X
ejpam-797	133	43	β	β	X
ejpam-797	133	44	β	β	X
ejpam-797	133	45	β	β	X
ejpam-797	133	46	β	β	X
ejpam-797	133	47	β	β	X
ejpam-797	133	48	β	β	X
ejpam-797	133	49	β	β	X
ejpam-797	133	50	−	−	NOUN
ejpam-797	133	51	−	−	PROPN
ejpam-797	133	52	′	′	NUM
ejpam-797	133	53	′−	′−	PROPN
ejpam-797	133	54	=	=	PUNCT
ejpam-797	133	55	′	′	NUM
ejpam-797	133	56	.	.	PUNCT
ejpam-797	134	1	(	(	PUNCT
ejpam-797	134	2	11	11	NUM
ejpam-797	134	3	)	)	PUNCT
ejpam-797	134	4	as	as	SCONJ
ejpam-797	134	5	shown	show	VERB
ejpam-797	134	6	in	in	ADP
ejpam-797	134	7	[	[	X
ejpam-797	134	8	19	19	NUM
ejpam-797	134	9	]	]	PUNCT
ejpam-797	134	10	,	,	PUNCT
ejpam-797	134	11	maximizing	maximize	VERB
ejpam-797	134	12	the	the	DET
ejpam-797	134	13	likelihood	likelihood	NOUN
ejpam-797	134	14	function	function	NOUN
ejpam-797	134	15	with	with	ADP
ejpam-797	134	16	respect	respect	NOUN
ejpam-797	134	17	to	to	ADP
ejpam-797	134	18	β	β	PROPN
ejpam-797	134	19	is	be	AUX
ejpam-797	134	20	equivalent	equivalent	ADJ
ejpam-797	134	21	to	to	ADP
ejpam-797	134	22	minimizing	minimize	VERB
ejpam-797	134	23	(	(	PUNCT
ejpam-797	134	24	11	11	NUM
ejpam-797	134	25	)	)	PUNCT
ejpam-797	134	26	,	,	PUNCT
ejpam-797	134	27	which	which	PRON
ejpam-797	134	28	is	be	AUX
ejpam-797	134	29	accomplished	accomplish	VERB
ejpam-797	134	30	by	by	ADP
ejpam-797	134	31	solving	solve	VERB
ejpam-797	134	32	the	the	DET
ejpam-797	134	33	eigenvalue	eigenvalue	PROPN
ejpam-797	134	34	problem	problem	NOUN
ejpam-797	134	35	1	1	NUM
ejpam-797	134	36	11	11	NUM
ejpam-797	134	37	10	10	NUM
ejpam-797	134	38	00	00	NUM
ejpam-797	134	39	01	01	NUM
ejpam-797	134	40	0s	0s	NUM
ejpam-797	134	41	s	s	X
ejpam-797	134	42	s	s	NOUN
ejpam-797	134	43	sλ	sλ	NOUN
ejpam-797	134	44	−−	−−	NOUN
ejpam-797	134	45	=	=	SYM
ejpam-797	134	46	(	(	PUNCT
ejpam-797	134	47	12	12	NUM
ejpam-797	134	48	)	)	PUNCT
ejpam-797	134	49	for	for	ADP
ejpam-797	134	50	eigenvalues	eigenvalue	NOUN
ejpam-797	134	51	1̂	1̂	NOUN
ejpam-797	134	52	ˆ1	ˆ1	NOUN
ejpam-797	134	53	pλ	pλ	NOUN
ejpam-797	134	54	λ	λ	NOUN
ejpam-797	134	55	>	>	X
ejpam-797	134	56	>	>	X
ejpam-797	134	57	>	>	PUNCT
ejpam-797	134	58			NUM
ejpam-797	134	59	and	and	CCONJ
ejpam-797	134	60	corresponding	corresponding	ADJ
ejpam-797	134	61	eigenvectors	eigenvector	NOUN
ejpam-797	134	62	(	(	PUNCT
ejpam-797	134	63	)	)	PUNCT
ejpam-797	134	64	1	1	NUM
ejpam-797	134	65	ˆ	ˆ	NOUN
ejpam-797	134	66	ˆ	ˆ	NOUN
ejpam-797	134	67	ˆ	ˆ	ADV
ejpam-797	134	68	,	,	PUNCT
ejpam-797	134	69	,	,	PUNCT
ejpam-797	134	70	pv	pv	PROPN
ejpam-797	134	71	v	v	NUM
ejpam-797	134	72	v=	v=	NOUN
ejpam-797	134	73			PRON
ejpam-797	134	74	normalized	normalize	VERB
ejpam-797	134	75	by	by	ADP
ejpam-797	134	76	11	11	NUM
ejpam-797	134	77	ˆ	ˆ	NOUN
ejpam-797	134	78	ˆ	ˆ	ADV
ejpam-797	134	79	pv	pv	NOUN
ejpam-797	134	80	s	s	NOUN
ejpam-797	134	81	v	v	NOUN
ejpam-797	134	82	i′	i′	NOUN
ejpam-797	134	83	=	=	PUNCT
ejpam-797	134	84	.	.	PUNCT
ejpam-797	135	1	thus	thus	ADV
ejpam-797	135	2	the	the	DET
ejpam-797	135	3	maximum	maximum	ADJ
ejpam-797	135	4	likelihood	likelihood	NOUN
ejpam-797	135	5	estimate	estimate	NOUN
ejpam-797	135	6	for	for	ADP
ejpam-797	135	7	the	the	DET
ejpam-797	135	8	cointegrating	cointegrate	VERB
ejpam-797	135	9	vectors	vector	NOUN
ejpam-797	135	10	β	β	X
ejpam-797	135	11	is	be	AUX
ejpam-797	135	12	(	(	PUNCT
ejpam-797	135	13	)	)	SYM
ejpam-797	135	14	1	1	NUM
ejpam-797	135	15	ˆ	ˆ	NOUN
ejpam-797	135	16	ˆ	ˆ	NOUN
ejpam-797	135	17	ˆ	ˆ	ADV
ejpam-797	135	18	,	,	PUNCT
ejpam-797	135	19	,	,	PUNCT
ejpam-797	135	20	rv	rv	PROPN
ejpam-797	135	21	vβ	vβ	NOUN
ejpam-797	135	22	=	=	SYM
ejpam-797	135	23			NUM
ejpam-797	135	24	,	,	PUNCT
ejpam-797	135	25	(	(	PUNCT
ejpam-797	135	26	13	13	NUM
ejpam-797	135	27	)	)	PUNCT
ejpam-797	135	28	and	and	CCONJ
ejpam-797	135	29	the	the	DET
ejpam-797	135	30	normalization	normalization	NOUN
ejpam-797	135	31	implies	imply	VERB
ejpam-797	135	32	that	that	SCONJ
ejpam-797	135	33	the	the	DET
ejpam-797	135	34	estimate	estimate	NOUN
ejpam-797	135	35	of	of	ADP
ejpam-797	135	36	the	the	DET
ejpam-797	135	37	weights	weight	NOUN
ejpam-797	135	38	in	in	ADP
ejpam-797	135	39	(	(	PUNCT
ejpam-797	135	40	8)	8)	NUM
ejpam-797	135	41	is	be	AUX
ejpam-797	135	42	01	01	NUM
ejpam-797	135	43	ˆˆ	ˆˆ	INTJ
ejpam-797	135	44	sα	sα	PROPN
ejpam-797	135	45	β=	β=	PROPN
ejpam-797	135	46	.	.	PUNCT
ejpam-797	136	1	(	(	PUNCT
ejpam-797	136	2	14	14	NUM
ejpam-797	136	3	)	)	PUNCT
ejpam-797	136	4	then	then	ADV
ejpam-797	136	5	,	,	PUNCT
ejpam-797	136	6	apart	apart	ADV
ejpam-797	136	7	from	from	ADP
ejpam-797	136	8	a	a	DET
ejpam-797	136	9	constant	constant	ADJ
ejpam-797	136	10	,	,	PUNCT
ejpam-797	136	11	the	the	DET
ejpam-797	136	12	maximized	maximized	ADJ
ejpam-797	136	13	likelihood	likelihood	NOUN
ejpam-797	136	14	can	can	AUX
ejpam-797	136	15	be	be	AUX
ejpam-797	136	16	written	write	VERB
ejpam-797	136	17	as	as	ADP
ejpam-797	136	18	(	(	PUNCT
ejpam-797	136	19	)	)	PUNCT
ejpam-797	136	20	2	2	NUM
ejpam-797	136	21	max	max	NOUN
ejpam-797	136	22	00	00	NUM
ejpam-797	136	23	1	1	NUM
ejpam-797	136	24	ˆ1	ˆ1	NOUN
ejpam-797	136	25	r	r	NOUN
ejpam-797	136	26	t	t	NOUN
ejpam-797	137	1	i	i	PRON
ejpam-797	138	1	i	i	PRON
ejpam-797	138	2	l	l	NOUN
ejpam-797	138	3	s	s	VERB
ejpam-797	138	4	λ−	λ−	PROPN
ejpam-797	138	5	=	=	SYM
ejpam-797	138	6	=	=	PUNCT
ejpam-797	139	1	−∏	−∏	NOUN
ejpam-797	139	2	.	.	PUNCT
ejpam-797	140	1	(	(	PUNCT
ejpam-797	140	2	15	15	X
ejpam-797	140	3	)	)	PUNCT
ejpam-797	140	4	likelihood	likelihood	NOUN
ejpam-797	140	5	ratio	ratio	NOUN
ejpam-797	140	6	tests	test	NOUN
ejpam-797	140	7	of	of	ADP
ejpam-797	140	8	the	the	DET
ejpam-797	140	9	hypothesis	hypothesis	NOUN
ejpam-797	140	10	of	of	ADP
ejpam-797	140	11	r	r	NOUN
ejpam-797	140	12	unrestricted	unrestricted	ADJ
ejpam-797	140	13	cointegrating	cointegrate	VERB
ejpam-797	140	14	relationships	relationship	NOUN
ejpam-797	140	15	in	in	ADP
ejpam-797	140	16	the	the	DET
ejpam-797	140	17	unrestricted	unrestricted	ADJ
ejpam-797	140	18	var	var	NOUN
ejpam-797	140	19	model	model	NOUN
ejpam-797	140	20	and	and	CCONJ
ejpam-797	140	21	for	for	ADP
ejpam-797	140	22	r	r	NOUN
ejpam-797	140	23	unrestricted	unrestricted	ADJ
ejpam-797	140	24	cointegrating	cointegrate	VERB
ejpam-797	140	25	relationships	relationship	NOUN
ejpam-797	140	26	against	against	ADP
ejpam-797	140	27	the	the	DET
ejpam-797	140	28	alternative	alternative	NOUN
ejpam-797	140	29	of	of	ADP
ejpam-797	140	30	r+1	r+1	PROPN
ejpam-797	140	31	unrestricted	unrestricted	ADJ
ejpam-797	140	32	cointegrating	cointegrate	VERB
ejpam-797	140	33	relationships	relationship	NOUN
ejpam-797	140	34	—	—	PUNCT
ejpam-797	140	35	the	the	DET
ejpam-797	140	36	trace	trace	NOUN
ejpam-797	140	37	and	and	CCONJ
ejpam-797	140	38	maximum	maximum	ADJ
ejpam-797	140	39	eigenvalue	eigenvalue	ADJ
ejpam-797	140	40	tests	test	NOUN
ejpam-797	140	41	—	—	PUNCT
ejpam-797	140	42	are	be	AUX
ejpam-797	140	43	derived	derive	VERB
ejpam-797	140	44	in	in	ADP
ejpam-797	140	45	[	[	X
ejpam-797	140	46	19	19	NUM
ejpam-797	140	47	]	]	PUNCT
ejpam-797	140	48	.	.	PUNCT
ejpam-797	141	1	the	the	DET
ejpam-797	141	2	asymptotic	asymptotic	ADJ
ejpam-797	141	3	distribution	distribution	NOUN
ejpam-797	141	4	of	of	ADP
ejpam-797	141	5	the	the	DET
ejpam-797	141	6	trace	trace	NOUN
ejpam-797	141	7	and	and	CCONJ
ejpam-797	141	8	maximum	maximum	ADJ
ejpam-797	141	9	eigenvalue	eigenvalue	ADJ
ejpam-797	141	10	tests	test	NOUN
ejpam-797	141	11	for	for	ADP
ejpam-797	141	12	different	different	ADJ
ejpam-797	141	13	deterministic	deterministic	ADJ
ejpam-797	141	14	components	component	NOUN
ejpam-797	141	15	may	may	AUX
ejpam-797	141	16	be	be	AUX
ejpam-797	141	17	found	find	VERB
ejpam-797	141	18	in	in	ADP
ejpam-797	141	19	[	[	X
ejpam-797	141	20	19	19	NUM
ejpam-797	141	21	]	]	PUNCT
ejpam-797	141	22	and	and	CCONJ
ejpam-797	141	23	[	[	X
ejpam-797	141	24	25	25	NUM
ejpam-797	141	25	]	]	PUNCT
ejpam-797	141	26	,	,	PUNCT
ejpam-797	141	27	and	and	CCONJ
ejpam-797	141	28	the	the	DET
ejpam-797	141	29	tabulated	tabulate	VERB
ejpam-797	141	30	critical	critical	ADJ
ejpam-797	141	31	values	value	NOUN
ejpam-797	141	32	for	for	ADP
ejpam-797	141	33	various	various	ADJ
ejpam-797	141	34	values	value	NOUN
ejpam-797	141	35	of	of	ADP
ejpam-797	141	36	r	r	NOUN
ejpam-797	141	37	and	and	CCONJ
ejpam-797	141	38	for	for	ADP
ejpam-797	141	39	different	different	ADJ
ejpam-797	141	40	deterministic	deterministic	ADJ
ejpam-797	141	41	components	component	NOUN
ejpam-797	141	42	may	may	AUX
ejpam-797	141	43	be	be	AUX
ejpam-797	141	44	found	find	VERB
ejpam-797	141	45	in	in	ADP
ejpam-797	141	46	[	[	X
ejpam-797	141	47	20	20	NUM
ejpam-797	141	48	,	,	PUNCT
ejpam-797	141	49	23	23	NUM
ejpam-797	141	50	,	,	PUNCT
ejpam-797	141	51	34	34	NUM
ejpam-797	141	52	]	]	X
ejpam-797	141	53	;	;	PUNCT
ejpam-797	141	54	small	small	ADJ
ejpam-797	141	55	-	-	PUNCT
ejpam-797	141	56	sample	sample	NOUN
ejpam-797	141	57	adjustments	adjustment	NOUN
ejpam-797	141	58	to	to	ADP
ejpam-797	141	59	the	the	DET
ejpam-797	141	60	critical	critical	ADJ
ejpam-797	141	61	values	value	NOUN
ejpam-797	141	62	that	that	PRON
ejpam-797	141	63	are	be	AUX
ejpam-797	141	64	based	base	VERB
ejpam-797	141	65	on	on	ADP
ejpam-797	141	66	response	response	NOUN
ejpam-797	141	67	surface	surface	NOUN
ejpam-797	141	68	regressions	regression	NOUN
ejpam-797	141	69	may	may	AUX
ejpam-797	141	70	be	be	AUX
ejpam-797	141	71	found	find	VERB
ejpam-797	141	72	in	in	ADP
ejpam-797	141	73	[	[	X
ejpam-797	141	74	2	2	NUM
ejpam-797	141	75	]	]	PUNCT
ejpam-797	141	76	and	and	CCONJ
ejpam-797	141	77	[	[	X
ejpam-797	141	78	31	31	NUM
ejpam-797	141	79	]	]	PUNCT
ejpam-797	141	80	.	.	PUNCT
ejpam-797	142	1	the	the	DET
ejpam-797	142	2	unrestricted	unrestricted	ADJ
ejpam-797	142	3	orthogonal	orthogonal	ADJ
ejpam-797	142	4	complements	complement	NOUN
ejpam-797	142	5	of	of	ADP
ejpam-797	142	6	β	β	PROPN
ejpam-797	142	7	and	and	CCONJ
ejpam-797	142	8	α	α	PROPN
ejpam-797	142	9	,	,	PUNCT
ejpam-797	142	10	β⊥	β⊥	PROPN
ejpam-797	142	11	and	and	CCONJ
ejpam-797	142	12	α⊥	α⊥	PROPN
ejpam-797	142	13	,	,	PUNCT
ejpam-797	142	14	can	can	AUX
ejpam-797	142	15	be	be	AUX
ejpam-797	142	16	estimated	estimate	VERB
ejpam-797	142	17	three	three	NUM
ejpam-797	142	18	ways	way	NOUN
ejpam-797	142	19	:	:	PUNCT
ejpam-797	142	20	one	one	PRON
ejpam-797	142	21	may	may	AUX
ejpam-797	142	22	use	use	VERB
ejpam-797	142	23	the	the	DET
ejpam-797	142	24	eigenvectors	eigenvector	NOUN
ejpam-797	142	25	associated	associate	VERB
ejpam-797	142	26	with	with	ADP
ejpam-797	142	27	the	the	DET
ejpam-797	142	28	zero	zero	NUM
ejpam-797	142	29	eigenvalues	eigenvalue	NOUN
ejpam-797	142	30	of	of	ADP
ejpam-797	142	31	ββ	ββ	NOUN
ejpam-797	142	32	′	′	NOUN
ejpam-797	142	33	and	and	CCONJ
ejpam-797	142	34	αα′	αα′	VERB
ejpam-797	143	1	[	[	X
ejpam-797	143	2	12	12	NUM
ejpam-797	143	3	]	]	PUNCT
ejpam-797	143	4	(	(	PUNCT
ejpam-797	143	5	given	give	VERB
ejpam-797	143	6	a	a	DET
ejpam-797	143	7	p×r	p×r	PROPN
ejpam-797	143	8	matrix	matrix	NOUN
ejpam-797	143	9	of	of	ADP
ejpam-797	143	10	full	full	ADJ
ejpam-797	143	11	column	column	NOUN
ejpam-797	143	12	rank	rank	NOUN
ejpam-797	143	13	a	a	PRON
ejpam-797	143	14	,	,	PUNCT
ejpam-797	143	15	one	one	PRON
ejpam-797	143	16	can	can	AUX
ejpam-797	143	17	quickly	quickly	ADV
ejpam-797	143	18	construct	construct	VERB
ejpam-797	143	19	a⊥	a⊥	NOUN
ejpam-797	143	20	as	as	ADP
ejpam-797	143	21	the	the	DET
ejpam-797	143	22	ordered	order	VERB
ejpam-797	143	23	eigenvectors	eigenvector	NOUN
ejpam-797	143	24	corresponding	correspond	VERB
ejpam-797	143	25	to	to	ADP
ejpam-797	143	26	the	the	DET
ejpam-797	143	27	p	p	NOUN
ejpam-797	143	28	-	-	PUNCT
ejpam-797	143	29	r	r	NOUN
ejpam-797	143	30	zero	zero	NUM
ejpam-797	143	31	-	-	PUNCT
ejpam-797	143	32	eigenvalues	eigenvalue	NOUN
ejpam-797	143	33	of	of	ADP
ejpam-797	143	34	aa′	aa′	ADJ
ejpam-797	143	35	)	)	PUNCT
ejpam-797	143	36	,	,	PUNCT
ejpam-797	143	37	and	and	CCONJ
ejpam-797	143	38	one	one	PRON
ejpam-797	143	39	may	may	AUX
ejpam-797	143	40	estimate	estimate	VERB
ejpam-797	143	41	α⊥	α⊥	PROPN
ejpam-797	143	42	as	as	ADP
ejpam-797	143	43	the	the	DET
ejpam-797	143	44	eigenvectors	eigenvector	NOUN
ejpam-797	143	45	corresponding	correspond	VERB
ejpam-797	143	46	to	to	ADP
ejpam-797	143	47	the	the	DET
ejpam-797	143	48	p	p	NOUN
ejpam-797	143	49	-	-	PUNCT
ejpam-797	143	50	r	r	NOUN
ejpam-797	143	51	smallest	small	ADJ
ejpam-797	143	52	eigenvalues	eigenvalue	NOUN
ejpam-797	143	53	that	that	PRON
ejpam-797	143	54	solve	solve	VERB
ejpam-797	143	55	the	the	DET
ejpam-797	143	56	dual	dual	ADJ
ejpam-797	143	57	of	of	ADP
ejpam-797	143	58	the	the	DET
ejpam-797	143	59	eigenvalue	eigenvalue	PROPN
ejpam-797	143	60	problem	problem	NOUN
ejpam-797	143	61	in	in	ADP
ejpam-797	143	62	(	(	PUNCT
ejpam-797	143	63	12	12	NUM
ejpam-797	143	64	)	)	PUNCT
ejpam-797	143	65	,	,	PUNCT
ejpam-797	143	66	1	1	NUM
ejpam-797	143	67	00	00	NUM
ejpam-797	143	68	01	01	NUM
ejpam-797	143	69	11	11	NUM
ejpam-797	143	70	10	10	NUM
ejpam-797	143	71	0s	0	NOUN
ejpam-797	143	72	s	s	NOUN
ejpam-797	143	73	s	s	NOUN
ejpam-797	143	74	sλ	sλ	NOUN
ejpam-797	143	75	−−	−−	NOUN
ejpam-797	143	76	=	=	PUNCT
ejpam-797	143	77	,	,	PUNCT
ejpam-797	143	78	normalized	normalize	VERB
ejpam-797	143	79	such	such	ADJ
ejpam-797	143	80	that	that	DET
ejpam-797	143	81	n.	n.	PROPN
ejpam-797	143	82	morin	morin	PROPN
ejpam-797	143	83	/	/	SYM
ejpam-797	143	84	eur	eur	PROPN
ejpam-797	143	85	.	.	PUNCT
ejpam-797	144	1	j.	j.	PROPN
ejpam-797	144	2	pure	pure	PROPN
ejpam-797	144	3	appl	appl	PROPN
ejpam-797	144	4	.	.	PUNCT
ejpam-797	145	1	math	math	PROPN
ejpam-797	145	2	546	546	NUM
ejpam-797	145	3	00ˆ	00ˆ	NOUN
ejpam-797	146	1	ˆ	ˆ	ADV
ejpam-797	146	2	p	p	NOUN
ejpam-797	146	3	rs	rs	NOUN
ejpam-797	146	4	iα	iα	NOUN
ejpam-797	146	5	α⊥	α⊥	PROPN
ejpam-797	147	1	⊥	⊥	PROPN
ejpam-797	147	2	−′	−′	PROPN
ejpam-797	147	3	=	=	NOUN
ejpam-797	147	4	,	,	PUNCT
ejpam-797	147	5	and	and	CCONJ
ejpam-797	147	6	by	by	ADP
ejpam-797	147	7	setting	set	VERB
ejpam-797	147	8	10	10	NUM
ejpam-797	147	9	ˆ	ˆ	ADJ
ejpam-797	147	10	ˆsβ	ˆsβ	ADJ
ejpam-797	147	11	α⊥	α⊥	PROPN
ejpam-797	147	12	⊥=	⊥=	PROPN
ejpam-797	147	13	.	.	PUNCT
ejpam-797	148	1	johansen	johansen	PROPN
ejpam-797	149	1	[	[	X
ejpam-797	149	2	23	23	NUM
ejpam-797	149	3	]	]	PUNCT
ejpam-797	149	4	shows	show	VERB
ejpam-797	149	5	one	one	PRON
ejpam-797	149	6	may	may	AUX
ejpam-797	149	7	estimate	estimate	VERB
ejpam-797	149	8	them	they	PRON
ejpam-797	149	9	from	from	ADP
ejpam-797	149	10	(	(	PUNCT
ejpam-797	149	11	12	12	NUM
ejpam-797	149	12	)	)	PUNCT
ejpam-797	149	13	by	by	ADP
ejpam-797	149	14	(	(	PUNCT
ejpam-797	149	15	)	)	PUNCT
ejpam-797	149	16	11	11	NUM
ejpam-797	149	17	1	1	NUM
ejpam-797	149	18	,	,	PUNCT
ejpam-797	149	19	,	,	PUNCT
ejpam-797	149	20	r	r	NOUN
ejpam-797	149	21	ps	ps	PROPN
ejpam-797	149	22	v	v	NOUN
ejpam-797	149	23	v+	v+	ADP
ejpam-797	149	24			NUM
ejpam-797	149	25	and	and	CCONJ
ejpam-797	149	26	(	(	PUNCT
ejpam-797	149	27	)	)	PUNCT
ejpam-797	149	28	1	1	NUM
ejpam-797	149	29	00	00	NUM
ejpam-797	149	30	01	01	NUM
ejpam-797	149	31	1	1	NUM
ejpam-797	149	32	,	,	PUNCT
ejpam-797	149	33	,	,	PUNCT
ejpam-797	149	34	r	r	NOUN
ejpam-797	149	35	ps	ps	NOUN
ejpam-797	149	36	s	s	NOUN
ejpam-797	149	37	v	v	NOUN
ejpam-797	149	38	v−	v−	NOUN
ejpam-797	149	39	+	+	CCONJ
ejpam-797	149	40			NUM
ejpam-797	149	41	,	,	PUNCT
ejpam-797	149	42	respectively	respectively	ADV
ejpam-797	149	43	.	.	PUNCT
ejpam-797	150	1	3	3	X
ejpam-797	150	2	.	.	X
ejpam-797	150	3	testing	test	VERB
ejpam-797	150	4	restrictions	restriction	NOUN
ejpam-797	150	5	on	on	ADP
ejpam-797	150	6	β	β	PROPN
ejpam-797	150	7	and	and	CCONJ
ejpam-797	150	8	α	α	DET
ejpam-797	150	9	economic	economic	ADJ
ejpam-797	150	10	theory	theory	NOUN
ejpam-797	150	11	may	may	AUX
ejpam-797	150	12	suggest	suggest	VERB
ejpam-797	150	13	that	that	SCONJ
ejpam-797	150	14	certain	certain	ADJ
ejpam-797	150	15	ratios	ratio	NOUN
ejpam-797	150	16	or	or	CCONJ
ejpam-797	150	17	spreads	spread	NOUN
ejpam-797	150	18	between	between	ADP
ejpam-797	150	19	variables	variable	NOUN
ejpam-797	150	20	will	will	AUX
ejpam-797	150	21	be	be	AUX
ejpam-797	150	22	cointegrating	cointegrate	VERB
ejpam-797	150	23	relationships	relationship	NOUN
ejpam-797	150	24	.	.	PUNCT
ejpam-797	151	1	for	for	ADP
ejpam-797	151	2	example	example	NOUN
ejpam-797	151	3	,	,	PUNCT
ejpam-797	151	4	some	some	DET
ejpam-797	151	5	neoclassical	neoclassical	ADJ
ejpam-797	151	6	growth	growth	NOUN
ejpam-797	151	7	models	model	NOUN
ejpam-797	151	8	with	with	ADP
ejpam-797	151	9	a	a	DET
ejpam-797	151	10	stochastic	stochastic	ADJ
ejpam-797	151	11	productivity	productivity	NOUN
ejpam-797	151	12	shock	shock	NOUN
ejpam-797	151	13	imply	imply	VERB
ejpam-797	151	14	“	"	PUNCT
ejpam-797	151	15	balanced	balanced	ADJ
ejpam-797	151	16	growth	growth	NOUN
ejpam-797	151	17	”	"	PUNCT
ejpam-797	151	18	among	among	ADP
ejpam-797	151	19	income	income	NOUN
ejpam-797	151	20	,	,	PUNCT
ejpam-797	151	21	consumption	consumption	NOUN
ejpam-797	151	22	,	,	PUNCT
ejpam-797	151	23	and	and	CCONJ
ejpam-797	151	24	investment	investment	NOUN
ejpam-797	151	25	(	(	PUNCT
ejpam-797	151	26	that	that	ADV
ejpam-797	151	27	is	is	ADV
ejpam-797	151	28	,	,	PUNCT
ejpam-797	151	29	the	the	DET
ejpam-797	151	30	ratios	ratio	NOUN
ejpam-797	151	31	are	be	AUX
ejpam-797	151	32	cointegrated	cointegrate	VERB
ejpam-797	151	33	)	)	PUNCT
ejpam-797	151	34	,	,	PUNCT
ejpam-797	151	35	and	and	CCONJ
ejpam-797	151	36	certain	certain	ADJ
ejpam-797	151	37	one	one	NUM
ejpam-797	151	38	-	-	PUNCT
ejpam-797	151	39	factor	factor	NOUN
ejpam-797	151	40	models	model	NOUN
ejpam-797	151	41	of	of	ADP
ejpam-797	151	42	the	the	DET
ejpam-797	151	43	term	term	NOUN
ejpam-797	151	44	structure	structure	NOUN
ejpam-797	151	45	of	of	ADP
ejpam-797	151	46	the	the	DET
ejpam-797	151	47	interest	interest	NOUN
ejpam-797	151	48	rates	rate	NOUN
ejpam-797	151	49	imply	imply	VERB
ejpam-797	151	50	that	that	SCONJ
ejpam-797	151	51	the	the	DET
ejpam-797	151	52	spreads	spread	NOUN
ejpam-797	151	53	between	between	ADP
ejpam-797	151	54	the	the	DET
ejpam-797	151	55	different	different	ADJ
ejpam-797	151	56	interest	interest	NOUN
ejpam-797	151	57	rate	rate	NOUN
ejpam-797	151	58	maturities	maturity	NOUN
ejpam-797	151	59	will	will	AUX
ejpam-797	151	60	be	be	AUX
ejpam-797	151	61	cointegrated	cointegrate	VERB
ejpam-797	151	62	.	.	PUNCT
ejpam-797	152	1	one	one	PRON
ejpam-797	152	2	might	might	AUX
ejpam-797	152	3	also	also	ADV
ejpam-797	152	4	be	be	AUX
ejpam-797	152	5	interested	interested	ADJ
ejpam-797	152	6	in	in	ADP
ejpam-797	152	7	testing	testing	NOUN
ejpam-797	152	8	for	for	ADP
ejpam-797	152	9	the	the	DET
ejpam-797	152	10	absence	absence	NOUN
ejpam-797	152	11	of	of	ADP
ejpam-797	152	12	certain	certain	ADJ
ejpam-797	152	13	variables	variable	NOUN
ejpam-797	152	14	in	in	ADP
ejpam-797	152	15	the	the	DET
ejpam-797	152	16	system	system	NOUN
ejpam-797	152	17	from	from	ADP
ejpam-797	152	18	any	any	PRON
ejpam-797	152	19	of	of	ADP
ejpam-797	152	20	the	the	DET
ejpam-797	152	21	cointegrating	cointegrate	VERB
ejpam-797	152	22	relationships	relationship	NOUN
ejpam-797	152	23	.	.	PUNCT
ejpam-797	153	1	complicated	complicate	VERB
ejpam-797	153	2	restrictions	restriction	NOUN
ejpam-797	153	3	on	on	ADP
ejpam-797	153	4	β	β	NOUN
ejpam-797	153	5	or	or	CCONJ
ejpam-797	153	6	α	α	NOUN
ejpam-797	153	7	may	may	AUX
ejpam-797	153	8	be	be	AUX
ejpam-797	153	9	formulated	formulate	VERB
ejpam-797	153	10	,	,	PUNCT
ejpam-797	153	11	for	for	ADP
ejpam-797	153	12	example	example	NOUN
ejpam-797	153	13	,	,	PUNCT
ejpam-797	153	14	neutrality	neutrality	NOUN
ejpam-797	153	15	hypotheses	hypothesis	NOUN
ejpam-797	153	16	in	in	ADP
ejpam-797	153	17	mosconi	mosconi	NOUN
ejpam-797	153	18	and	and	CCONJ
ejpam-797	153	19	giannini	giannini	PROPN
ejpam-797	154	1	[	[	X
ejpam-797	154	2	32	32	NUM
ejpam-797	154	3	]	]	PUNCT
ejpam-797	154	4	and	and	CCONJ
ejpam-797	154	5	separation	separation	NOUN
ejpam-797	154	6	cointegration	cointegration	NOUN
ejpam-797	154	7	in	in	ADP
ejpam-797	154	8	konishi	konishi	PROPN
ejpam-797	154	9	and	and	CCONJ
ejpam-797	154	10	granger	granger	PROPN
ejpam-797	155	1	[	[	X
ejpam-797	155	2	30	30	NUM
ejpam-797	155	3	]	]	PUNCT
ejpam-797	155	4	.	.	PUNCT
ejpam-797	156	1	based	base	VERB
ejpam-797	156	2	on	on	ADP
ejpam-797	156	3	their	their	PRON
ejpam-797	156	4	maximum	maximum	ADJ
ejpam-797	156	5	likelihood	likelihood	NOUN
ejpam-797	156	6	framework	framework	NOUN
ejpam-797	156	7	,	,	PUNCT
ejpam-797	156	8	johansen	johansen	PROPN
ejpam-797	157	1	[	[	X
ejpam-797	157	2	19	19	NUM
ejpam-797	157	3	,	,	PUNCT
ejpam-797	157	4	21	21	NUM
ejpam-797	157	5	]	]	PUNCT
ejpam-797	157	6	and	and	CCONJ
ejpam-797	157	7	johansen	johansen	PROPN
ejpam-797	157	8	and	and	CCONJ
ejpam-797	157	9	juselius	juselius	NOUN
ejpam-797	157	10	[	[	X
ejpam-797	157	11	25	25	NUM
ejpam-797	157	12	,	,	PUNCT
ejpam-797	157	13	26	26	NUM
ejpam-797	157	14	]	]	PUNCT
ejpam-797	157	15	formulate	formulate	VERB
ejpam-797	157	16	a	a	DET
ejpam-797	157	17	series	series	NOUN
ejpam-797	157	18	of	of	ADP
ejpam-797	157	19	likelihood	likelihood	NOUN
ejpam-797	157	20	ratio	ratio	NOUN
ejpam-797	157	21	tests	test	NOUN
ejpam-797	157	22	for	for	ADP
ejpam-797	157	23	linear	linear	PROPN
ejpam-797	157	24	restrictions	restriction	NOUN
ejpam-797	157	25	on	on	ADP
ejpam-797	157	26	β	β	NOUN
ejpam-797	157	27	or	or	CCONJ
ejpam-797	157	28	α	α	NOUN
ejpam-797	157	29	and	and	CCONJ
ejpam-797	157	30	tests	test	NOUN
ejpam-797	157	31	for	for	ADP
ejpam-797	157	32	a	a	DET
ejpam-797	157	33	subset	subset	NOUN
ejpam-797	157	34	of	of	ADP
ejpam-797	157	35	known	know	VERB
ejpam-797	157	36	vectors	vector	NOUN
ejpam-797	157	37	in	in	ADP
ejpam-797	157	38	β	β	PROPN
ejpam-797	157	39	or	or	CCONJ
ejpam-797	157	40	α	α	NOUN
ejpam-797	157	41	.	.	PUNCT
ejpam-797	158	1	after	after	ADP
ejpam-797	158	2	briefly	briefly	NOUN
ejpam-797	158	3	summarizing	summarize	VERB
ejpam-797	158	4	this	this	DET
ejpam-797	158	5	set	set	NOUN
ejpam-797	158	6	of	of	ADP
ejpam-797	158	7	five	five	NUM
ejpam-797	158	8	tests	test	NOUN
ejpam-797	158	9	,	,	PUNCT
ejpam-797	158	10	three	three	NUM
ejpam-797	158	11	new	new	ADJ
ejpam-797	158	12	tests	test	NOUN
ejpam-797	158	13	for	for	ADP
ejpam-797	158	14	combining	combine	VERB
ejpam-797	158	15	linear	linear	NOUN
ejpam-797	158	16	restrictions	restriction	NOUN
ejpam-797	158	17	and	and	CCONJ
ejpam-797	158	18	known	know	VERB
ejpam-797	158	19	vectors	vector	NOUN
ejpam-797	158	20	will	will	AUX
ejpam-797	158	21	be	be	AUX
ejpam-797	158	22	derived	derive	VERB
ejpam-797	158	23	.	.	PUNCT
ejpam-797	159	1	the	the	DET
ejpam-797	159	2	tests	test	NOUN
ejpam-797	159	3	for	for	ADP
ejpam-797	159	4	restrictions	restriction	NOUN
ejpam-797	159	5	on	on	ADP
ejpam-797	159	6	the	the	DET
ejpam-797	159	7	cointegrating	cointegrate	VERB
ejpam-797	159	8	relationships	relationship	NOUN
ejpam-797	159	9	and	and	CCONJ
ejpam-797	159	10	disequilibrium	disequilibrium	NOUN
ejpam-797	159	11	adjustment	adjustment	NOUN
ejpam-797	159	12	vectors	vector	NOUN
ejpam-797	159	13	described	describe	VERB
ejpam-797	159	14	below	below	ADV
ejpam-797	159	15	are	be	AUX
ejpam-797	159	16	asymptotically	asymptotically	ADV
ejpam-797	159	17	chi	chi	ADJ
ejpam-797	159	18	-	-	PUNCT
ejpam-797	159	19	squared	square	VERB
ejpam-797	159	20	distributed	distribute	VERB
ejpam-797	159	21	.	.	PUNCT
ejpam-797	160	1	the	the	DET
ejpam-797	160	2	finite	finite	PROPN
ejpam-797	160	3	sample	sample	NOUN
ejpam-797	160	4	properties	property	NOUN
ejpam-797	160	5	of	of	ADP
ejpam-797	160	6	some	some	PRON
ejpam-797	160	7	of	of	ADP
ejpam-797	160	8	the	the	DET
ejpam-797	160	9	tests	test	NOUN
ejpam-797	160	10	have	have	AUX
ejpam-797	160	11	been	be	AUX
ejpam-797	160	12	studied	study	VERB
ejpam-797	160	13	(	(	PUNCT
ejpam-797	160	14	see	see	VERB
ejpam-797	160	15	,	,	PUNCT
ejpam-797	160	16	for	for	ADP
ejpam-797	160	17	example	example	NOUN
ejpam-797	160	18	[	[	X
ejpam-797	160	19	18	18	NUM
ejpam-797	160	20	]	]	PUNCT
ejpam-797	160	21	)	)	PUNCT
ejpam-797	160	22	and	and	CCONJ
ejpam-797	160	23	are	be	AUX
ejpam-797	160	24	shown	show	VERB
ejpam-797	160	25	to	to	PART
ejpam-797	160	26	have	have	VERB
ejpam-797	160	27	significant	significant	ADJ
ejpam-797	160	28	size	size	NOUN
ejpam-797	160	29	distortions	distortion	NOUN
ejpam-797	160	30	in	in	ADP
ejpam-797	160	31	small	small	ADJ
ejpam-797	160	32	samples	sample	NOUN
ejpam-797	160	33	,	,	PUNCT
ejpam-797	160	34	though	though	SCONJ
ejpam-797	160	35	they	they	PRON
ejpam-797	160	36	generally	generally	ADV
ejpam-797	160	37	perform	perform	VERB
ejpam-797	160	38	well	well	ADV
ejpam-797	160	39	with	with	ADP
ejpam-797	160	40	larger	large	ADJ
ejpam-797	160	41	samples	sample	NOUN
ejpam-797	160	42	.	.	PUNCT
ejpam-797	161	1	johansen	johansen	PROPN
ejpam-797	162	1	[	[	X
ejpam-797	162	2	24	24	NUM
ejpam-797	162	3	]	]	PUNCT
ejpam-797	162	4	introduces	introduce	VERB
ejpam-797	162	5	a	a	DET
ejpam-797	162	6	bartlett	bartlett	NOUN
ejpam-797	162	7	-	-	PUNCT
ejpam-797	162	8	type	type	NOUN
ejpam-797	162	9	correction	correction	NOUN
ejpam-797	162	10	for	for	ADP
ejpam-797	162	11	tests	test	NOUN
ejpam-797	162	12	(	(	PUNCT
ejpam-797	162	13	1	1	NUM
ejpam-797	162	14	)	)	PUNCT
ejpam-797	162	15	and	and	CCONJ
ejpam-797	162	16	(	(	PUNCT
ejpam-797	162	17	2	2	NUM
ejpam-797	162	18	)	)	PUNCT
ejpam-797	162	19	below	below	ADP
ejpam-797	162	20	that	that	PRON
ejpam-797	162	21	depend	depend	VERB
ejpam-797	162	22	on	on	ADP
ejpam-797	162	23	the	the	DET
ejpam-797	162	24	size	size	NOUN
ejpam-797	162	25	of	of	ADP
ejpam-797	162	26	the	the	DET
ejpam-797	162	27	system	system	NOUN
ejpam-797	162	28	,	,	PUNCT
ejpam-797	162	29	the	the	DET
ejpam-797	162	30	number	number	NOUN
ejpam-797	162	31	of	of	ADP
ejpam-797	162	32	cointegrating	cointegrate	VERB
ejpam-797	162	33	vectors	vector	NOUN
ejpam-797	162	34	,	,	PUNCT
ejpam-797	162	35	the	the	DET
ejpam-797	162	36	lag	lag	NOUN
ejpam-797	162	37	length	length	NOUN
ejpam-797	162	38	in	in	ADP
ejpam-797	162	39	the	the	DET
ejpam-797	162	40	vecm	vecm	NOUN
ejpam-797	162	41	,	,	PUNCT
ejpam-797	162	42	the	the	DET
ejpam-797	162	43	number	number	NOUN
ejpam-797	162	44	of	of	ADP
ejpam-797	162	45	deterministic	deterministic	ADJ
ejpam-797	162	46	terms	term	NOUN
ejpam-797	162	47	(	(	PUNCT
ejpam-797	162	48	restricted	restrict	VERB
ejpam-797	162	49	versus	versus	ADP
ejpam-797	162	50	unrestricted	unrestricted	ADJ
ejpam-797	162	51	)	)	PUNCT
ejpam-797	162	52	,	,	PUNCT
ejpam-797	162	53	the	the	DET
ejpam-797	162	54	parameter	parameter	NOUN
ejpam-797	162	55	values	value	NOUN
ejpam-797	162	56	,	,	PUNCT
ejpam-797	162	57	and	and	CCONJ
ejpam-797	162	58	the	the	DET
ejpam-797	162	59	sample	sample	NOUN
ejpam-797	162	60	size	size	NOUN
ejpam-797	162	61	under	under	ADP
ejpam-797	162	62	the	the	DET
ejpam-797	162	63	null	null	ADJ
ejpam-797	162	64	hypothesis	hypothesis	NOUN
ejpam-797	162	65	.	.	PUNCT
ejpam-797	163	1	haug	haug	VERB
ejpam-797	164	1	[	[	X
ejpam-797	164	2	18	18	NUM
ejpam-797	164	3	]	]	PUNCT
ejpam-797	164	4	demonstrates	demonstrate	VERB
ejpam-797	164	5	that	that	SCONJ
ejpam-797	164	6	the	the	DET
ejpam-797	164	7	bartlett	bartlett	PROPN
ejpam-797	164	8	correction	correction	NOUN
ejpam-797	164	9	is	be	AUX
ejpam-797	164	10	successful	successful	ADJ
ejpam-797	164	11	in	in	ADP
ejpam-797	164	12	moving	move	VERB
ejpam-797	164	13	the	the	DET
ejpam-797	164	14	empirical	empirical	ADJ
ejpam-797	164	15	size	size	NOUN
ejpam-797	164	16	of	of	ADP
ejpam-797	164	17	the	the	DET
ejpam-797	164	18	test	test	NOUN
ejpam-797	164	19	close	close	ADJ
ejpam-797	164	20	to	to	ADP
ejpam-797	164	21	the	the	DET
ejpam-797	164	22	nominal	nominal	ADJ
ejpam-797	164	23	size	size	NOUN
ejpam-797	164	24	of	of	ADP
ejpam-797	164	25	the	the	DET
ejpam-797	164	26	test	test	NOUN
ejpam-797	164	27	and	and	CCONJ
ejpam-797	164	28	also	also	ADV
ejpam-797	164	29	demonstrates	demonstrate	VERB
ejpam-797	164	30	that	that	SCONJ
ejpam-797	164	31	the	the	DET
ejpam-797	164	32	power	power	NOUN
ejpam-797	164	33	of	of	ADP
ejpam-797	164	34	the	the	DET
ejpam-797	164	35	tests	test	NOUN
ejpam-797	164	36	for	for	ADP
ejpam-797	164	37	restrictions	restriction	NOUN
ejpam-797	164	38	on	on	ADP
ejpam-797	164	39	β	β	NOUN
ejpam-797	164	40	depend	depend	VERB
ejpam-797	164	41	on	on	ADP
ejpam-797	164	42	the	the	DET
ejpam-797	164	43	speed	speed	NOUN
ejpam-797	164	44	of	of	ADP
ejpam-797	164	45	adjustment	adjustment	NOUN
ejpam-797	164	46	to	to	ADP
ejpam-797	164	47	the	the	DET
ejpam-797	164	48	long	long	ADV
ejpam-797	164	49	-	-	PUNCT
ejpam-797	164	50	run	run	VERB
ejpam-797	164	51	equilibrium	equilibrium	NOUN
ejpam-797	164	52	relationships	relationship	NOUN
ejpam-797	164	53	in	in	ADP
ejpam-797	164	54	the	the	DET
ejpam-797	164	55	system	system	NOUN
ejpam-797	164	56	,	,	PUNCT
ejpam-797	164	57	with	with	ADP
ejpam-797	164	58	slower	slow	ADJ
ejpam-797	164	59	adjustment	adjustment	NOUN
ejpam-797	164	60	speeds	speed	NOUN
ejpam-797	164	61	leading	lead	VERB
ejpam-797	164	62	to	to	ADP
ejpam-797	164	63	tests	test	NOUN
ejpam-797	164	64	with	with	ADP
ejpam-797	164	65	lower	low	ADJ
ejpam-797	164	66	power	power	NOUN
ejpam-797	164	67	.	.	PUNCT
ejpam-797	165	1	the	the	DET
ejpam-797	165	2	tests	test	NOUN
ejpam-797	165	3	below	below	ADV
ejpam-797	165	4	are	be	AUX
ejpam-797	165	5	all	all	PRON
ejpam-797	165	6	based	base	VERB
ejpam-797	165	7	on	on	ADP
ejpam-797	165	8	the	the	DET
ejpam-797	165	9	reduced	reduce	VERB
ejpam-797	165	10	rank	rank	NOUN
ejpam-797	165	11	regression	regression	NOUN
ejpam-797	165	12	representation	representation	NOUN
ejpam-797	165	13	of	of	ADP
ejpam-797	165	14	the	the	DET
ejpam-797	165	15	vecm	vecm	NOUN
ejpam-797	165	16	in	in	ADP
ejpam-797	165	17	(	(	PUNCT
ejpam-797	165	18	4	4	NUM
ejpam-797	165	19	)	)	PUNCT
ejpam-797	165	20	,	,	PUNCT
ejpam-797	165	21	0	0	NUM
ejpam-797	165	22	1	1	NUM
ejpam-797	165	23	,	,	PUNCT
ejpam-797	165	24	1	1	NUM
ejpam-797	165	25	,	,	PUNCT
ejpam-797	165	26	,	,	PUNCT
ejpam-797	165	27	t	t	PROPN
ejpam-797	165	28	t	t	PROPN
ejpam-797	165	29	tr	tr	NOUN
ejpam-797	165	30	r	r	PROPN
ejpam-797	165	31	t	t	PROPN
ejpam-797	165	32	tαβ	tαβ	NOUN
ejpam-797	165	33	ε′=	ε′=	NOUN
ejpam-797	165	34	+	+	CCONJ
ejpam-797	165	35	=	=	SYM
ejpam-797	165	36			NUM
ejpam-797	165	37	,	,	PUNCT
ejpam-797	165	38	(	(	PUNCT
ejpam-797	165	39	16	16	NUM
ejpam-797	165	40	)	)	PUNCT
ejpam-797	165	41	the	the	DET
ejpam-797	165	42	same	same	ADJ
ejpam-797	165	43	equation	equation	NOUN
ejpam-797	165	44	that	that	PRON
ejpam-797	165	45	is	be	AUX
ejpam-797	165	46	the	the	DET
ejpam-797	165	47	starting	starting	NOUN
ejpam-797	165	48	point	point	NOUN
ejpam-797	165	49	for	for	ADP
ejpam-797	165	50	the	the	DET
ejpam-797	165	51	maximum	maximum	ADJ
ejpam-797	165	52	likelihood	likelihood	NOUN
ejpam-797	165	53	estimates	estimate	NOUN
ejpam-797	165	54	of	of	ADP
ejpam-797	165	55	the	the	DET
ejpam-797	165	56	parameters	parameter	NOUN
ejpam-797	165	57	of	of	ADP
ejpam-797	165	58	the	the	DET
ejpam-797	165	59	vecm	vecm	NOUN
ejpam-797	165	60	.	.	PUNCT
ejpam-797	166	1	the	the	DET
ejpam-797	166	2	estimators	estimator	NOUN
ejpam-797	166	3	and	and	CCONJ
ejpam-797	166	4	test	test	NOUN
ejpam-797	166	5	statistics	statistic	NOUN
ejpam-797	166	6	are	be	AUX
ejpam-797	166	7	all	all	PRON
ejpam-797	166	8	calculated	calculate	VERB
ejpam-797	166	9	in	in	ADP
ejpam-797	166	10	terms	term	NOUN
ejpam-797	166	11	of	of	ADP
ejpam-797	166	12	the	the	DET
ejpam-797	166	13	residual	residual	ADJ
ejpam-797	166	14	product	product	NOUN
ejpam-797	166	15	moment	moment	NOUN
ejpam-797	166	16	matrices	matrix	NOUN
ejpam-797	166	17	,	,	PUNCT
ejpam-797	166	18	,	,	PUNCT
ejpam-797	166	19	0,1ijs	0,1ijs	PUNCT
ejpam-797	167	1	i	i	PRON
ejpam-797	167	2	j	j	NOUN
ejpam-797	168	1	=	=	PUNCT
ejpam-797	168	2	and	and	CCONJ
ejpam-797	168	3	by	by	ADP
ejpam-797	168	4	their	their	PRON
ejpam-797	168	5	eigenvalues	eigenvalue	NOUN
ejpam-797	168	6	.	.	PUNCT
ejpam-797	169	1	the	the	DET
ejpam-797	169	2	parameter	parameter	NOUN
ejpam-797	169	3	estimates	estimate	VERB
ejpam-797	169	4	under	under	ADP
ejpam-797	169	5	the	the	DET
ejpam-797	169	6	restrictions	restriction	NOUN
ejpam-797	169	7	and	and	CCONJ
ejpam-797	169	8	the	the	DET
ejpam-797	169	9	maximized	maximized	ADJ
ejpam-797	169	10	likelihood	likelihood	NOUN
ejpam-797	169	11	functions	function	NOUN
ejpam-797	169	12	can	can	AUX
ejpam-797	169	13	be	be	AUX
ejpam-797	169	14	explicitly	explicitly	ADV
ejpam-797	169	15	calculated	calculate	VERB
ejpam-797	169	16	;	;	PUNCT
ejpam-797	169	17	other	other	ADJ
ejpam-797	169	18	tests	test	NOUN
ejpam-797	169	19	not	not	PART
ejpam-797	169	20	discussed	discuss	VERB
ejpam-797	169	21	here	here	ADV
ejpam-797	169	22	may	may	AUX
ejpam-797	169	23	be	be	AUX
ejpam-797	169	24	solved	solve	VERB
ejpam-797	169	25	using	use	VERB
ejpam-797	169	26	iterative	iterative	NOUN
ejpam-797	169	27	methods	method	NOUN
ejpam-797	169	28	(	(	PUNCT
ejpam-797	169	29	see	see	VERB
ejpam-797	169	30	[	[	X
ejpam-797	169	31	6	6	NUM
ejpam-797	169	32	]	]	PUNCT
ejpam-797	169	33	and	and	CCONJ
ejpam-797	169	34	[	[	X
ejpam-797	169	35	22	22	NUM
ejpam-797	169	36	]	]	PUNCT
ejpam-797	169	37	)	)	PUNCT
ejpam-797	169	38	.	.	PUNCT
ejpam-797	170	1	denote	denote	VERB
ejpam-797	170	2	the	the	DET
ejpam-797	170	3	unrestricted	unrestricted	ADJ
ejpam-797	170	4	model	model	NOUN
ejpam-797	170	5	of	of	ADP
ejpam-797	170	6	at	at	ADP
ejpam-797	170	7	most	most	ADJ
ejpam-797	170	8	r	r	NOUN
ejpam-797	170	9	cointegrating	cointegrate	VERB
ejpam-797	170	10	relationships	relationship	NOUN
ejpam-797	170	11	in	in	ADP
ejpam-797	170	12	the	the	DET
ejpam-797	170	13	vecm	vecm	NOUN
ejpam-797	170	14	(	(	PUNCT
ejpam-797	170	15	4	4	NUM
ejpam-797	170	16	)	)	PUNCT
ejpam-797	170	17	as	as	ADP
ejpam-797	170	18	(	(	PUNCT
ejpam-797	170	19	)	)	PUNCT
ejpam-797	170	20	h	h	NOUN
ejpam-797	170	21	r	r	NOUN
ejpam-797	170	22	.	.	PUNCT
ejpam-797	171	1	for	for	ADP
ejpam-797	171	2	any	any	DET
ejpam-797	171	3	rectangular	rectangular	ADJ
ejpam-797	171	4	matrix	matrix	NOUN
ejpam-797	171	5	with	with	ADP
ejpam-797	171	6	full	full	ADJ
ejpam-797	171	7	column	column	NOUN
ejpam-797	171	8	rank	rank	NOUN
ejpam-797	171	9	,	,	PUNCT
ejpam-797	171	10	a	a	PRON
ejpam-797	171	11	,	,	PUNCT
ejpam-797	171	12	define	define	VERB
ejpam-797	171	13	the	the	DET
ejpam-797	171	14	notation	notation	NOUN
ejpam-797	171	15	(	(	PUNCT
ejpam-797	171	16	)	)	PUNCT
ejpam-797	171	17	1a	1a	PROPN
ejpam-797	171	18	a	a	DET
ejpam-797	171	19	a	a	DET
ejpam-797	171	20	a	a	DET
ejpam-797	171	21	−′≡	−′≡	NOUN
ejpam-797	171	22	,	,	PUNCT
ejpam-797	171	23	which	which	PRON
ejpam-797	171	24	implies	imply	VERB
ejpam-797	171	25	ra	ra	PROPN
ejpam-797	171	26	a	a	DET
ejpam-797	171	27	a	a	DET
ejpam-797	171	28	a	a	DET
ejpam-797	171	29	i′	i′	NOUN
ejpam-797	171	30	′=	′=	NOUN
ejpam-797	171	31	=	=	PUNCT
ejpam-797	171	32	.	.	PUNCT
ejpam-797	172	1	five	five	NUM
ejpam-797	172	2	tests	test	NOUN
ejpam-797	172	3	for	for	ADP
ejpam-797	172	4	restrictions	restriction	NOUN
ejpam-797	172	5	on	on	ADP
ejpam-797	172	6	β	β	NOUN
ejpam-797	172	7	and	and	CCONJ
ejpam-797	172	8	α	α	NOUN
ejpam-797	172	9	from	from	ADP
ejpam-797	172	10	johansen	johansen	PROPN
ejpam-797	172	11	[	[	X
ejpam-797	172	12	19	19	NUM
ejpam-797	172	13	,	,	PUNCT
ejpam-797	172	14	20	20	NUM
ejpam-797	172	15	]	]	PUNCT
ejpam-797	172	16	and	and	CCONJ
ejpam-797	172	17	johansen	johansen	PROPN
ejpam-797	172	18	and	and	CCONJ
ejpam-797	172	19	juselius	juselius	NOUN
ejpam-797	172	20	[	[	X
ejpam-797	172	21	25	25	NUM
ejpam-797	172	22	]	]	PUNCT
ejpam-797	172	23	are	be	AUX
ejpam-797	172	24	briefly	briefly	ADV
ejpam-797	172	25	described	describe	VERB
ejpam-797	172	26	before	before	ADP
ejpam-797	172	27	turning	turn	VERB
ejpam-797	172	28	to	to	ADP
ejpam-797	172	29	three	three	NUM
ejpam-797	172	30	new	new	ADJ
ejpam-797	172	31	tests	test	NOUN
ejpam-797	172	32	for	for	ADP
ejpam-797	172	33	restrictions	restriction	NOUN
ejpam-797	172	34	on	on	ADP
ejpam-797	172	35	β	β	PROPN
ejpam-797	172	36	and	and	CCONJ
ejpam-797	172	37	α	α	X
ejpam-797	172	38	.	.	PUNCT
ejpam-797	173	1	n.	n.	PROPN
ejpam-797	173	2	morin	morin	PROPN
ejpam-797	173	3	/	/	SYM
ejpam-797	173	4	eur	eur	PROPN
ejpam-797	173	5	.	.	PUNCT
ejpam-797	174	1	j.	j.	PROPN
ejpam-797	174	2	pure	pure	PROPN
ejpam-797	174	3	appl	appl	PROPN
ejpam-797	174	4	.	.	PUNCT
ejpam-797	175	1	math	math	NOUN
ejpam-797	175	2	547	547	NUM
ejpam-797	175	3	(	(	PUNCT
ejpam-797	175	4	1	1	NUM
ejpam-797	175	5	)	)	PUNCT
ejpam-797	175	6	0	0	NUM
ejpam-797	176	1	:	:	PUNCT
ejpam-797	176	2	h	h	NOUN
ejpam-797	176	3	hβ	hβ	INTJ
ejpam-797	176	4	φ=	φ=	NOUN
ejpam-797	176	5	(	(	PUNCT
ejpam-797	176	6	johansen	johansen	PROPN
ejpam-797	176	7	[	[	X
ejpam-797	176	8	19	19	NUM
ejpam-797	176	9	]	]	NUM
ejpam-797	176	10	)	)	PUNCT
ejpam-797	176	11	,	,	PUNCT
ejpam-797	176	12	(	(	PUNCT
ejpam-797	176	13	17	17	NUM
ejpam-797	176	14	)	)	PUNCT
ejpam-797	176	15	where	where	SCONJ
ejpam-797	176	16	h	h	PROPN
ejpam-797	176	17	p×r	p×r	PROPN
ejpam-797	176	18	is	be	AUX
ejpam-797	176	19	known	know	VERB
ejpam-797	176	20	and	and	CCONJ
ejpam-797	176	21	φ	φ	PROPN
ejpam-797	176	22	s×r	s×r	PROPN
ejpam-797	176	23	is	be	AUX
ejpam-797	176	24	unknown	unknown	ADJ
ejpam-797	176	25	,	,	PUNCT
ejpam-797	176	26	r≤s	r≤s	PROPN
ejpam-797	176	27	<	<	X
ejpam-797	176	28	p.	p.	NOUN
ejpam-797	176	29	this	this	DET
ejpam-797	176	30	test	test	NOUN
ejpam-797	176	31	places	place	VERB
ejpam-797	176	32	the	the	DET
ejpam-797	176	33	same	same	ADJ
ejpam-797	176	34	p	p	NOUN
ejpam-797	176	35	-	-	PUNCT
ejpam-797	176	36	s	s	NOUN
ejpam-797	176	37	linear	linear	NOUN
ejpam-797	176	38	restrictions	restriction	NOUN
ejpam-797	176	39	on	on	ADP
ejpam-797	176	40	all	all	DET
ejpam-797	176	41	the	the	DET
ejpam-797	176	42	vectors	vector	NOUN
ejpam-797	176	43	in	in	ADP
ejpam-797	176	44	β	β	PROPN
ejpam-797	176	45	.	.	PUNCT
ejpam-797	177	1	the	the	DET
ejpam-797	177	2	likelihood	likelihood	NOUN
ejpam-797	177	3	ratio	ratio	NOUN
ejpam-797	177	4	test	test	NOUN
ejpam-797	177	5	of	of	ADP
ejpam-797	177	6	0h	0h	PROPN
ejpam-797	177	7	in	in	ADP
ejpam-797	177	8	(	(	PUNCT
ejpam-797	177	9	)	)	PUNCT
ejpam-797	177	10	h	h	NOUN
ejpam-797	177	11	r	r	NOUN
ejpam-797	177	12	is	be	AUX
ejpam-797	177	13	asymptotically	asymptotically	ADV
ejpam-797	177	14	distributed	distribute	VERB
ejpam-797	177	15	as	as	ADP
ejpam-797	177	16	2χ	2χ	NUM
ejpam-797	177	17	with	with	ADP
ejpam-797	177	18	r(p	r(p	PROPN
ejpam-797	177	19	-	-	PUNCT
ejpam-797	177	20	s	s	NOUN
ejpam-797	177	21	)	)	PUNCT
ejpam-797	177	22	degrees	degree	NOUN
ejpam-797	177	23	of	of	ADP
ejpam-797	177	24	freedom	freedom	NOUN
ejpam-797	177	25	.	.	PUNCT
ejpam-797	178	1	one	one	PRON
ejpam-797	178	2	can	can	AUX
ejpam-797	178	3	also	also	ADV
ejpam-797	178	4	use	use	VERB
ejpam-797	178	5	this	this	DET
ejpam-797	178	6	test	test	NOUN
ejpam-797	178	7	also	also	ADV
ejpam-797	178	8	to	to	PART
ejpam-797	178	9	determine	determine	VERB
ejpam-797	178	10	if	if	SCONJ
ejpam-797	178	11	a	a	DET
ejpam-797	178	12	subset	subset	NOUN
ejpam-797	178	13	of	of	ADP
ejpam-797	178	14	the	the	DET
ejpam-797	178	15	p	p	PROPN
ejpam-797	178	16	variables	variable	NOUN
ejpam-797	178	17	do	do	AUX
ejpam-797	178	18	not	not	PART
ejpam-797	178	19	enter	enter	VERB
ejpam-797	178	20	the	the	DET
ejpam-797	178	21	cointegrating	cointegrate	VERB
ejpam-797	178	22	relationships	relationship	NOUN
ejpam-797	178	23	.	.	PUNCT
ejpam-797	179	1	(	(	PUNCT
ejpam-797	179	2	2	2	X
ejpam-797	179	3	)	)	PUNCT
ejpam-797	179	4	[	[	PUNCT
ejpam-797	179	5	]	]	X
ejpam-797	179	6	0	0	NUM
ejpam-797	179	7	:	:	PUNCT
ejpam-797	179	8	,	,	PUNCT
ejpam-797	179	9	h	h	NOUN
ejpam-797	179	10	hβ	hβ	INTJ
ejpam-797	179	11	θ=	θ=	PROPN
ejpam-797	179	12	(	(	PUNCT
ejpam-797	179	13	johansen	johansen	PROPN
ejpam-797	179	14	and	and	CCONJ
ejpam-797	179	15	juselius	juselius	NOUN
ejpam-797	180	1	[	[	X
ejpam-797	180	2	25	25	NUM
ejpam-797	180	3	]	]	PUNCT
ejpam-797	180	4	)	)	PUNCT
ejpam-797	180	5	,	,	PUNCT
ejpam-797	180	6	(	(	PUNCT
ejpam-797	180	7	18	18	NUM
ejpam-797	180	8	)	)	PUNCT
ejpam-797	180	9	where	where	SCONJ
ejpam-797	180	10	h	h	PROPN
ejpam-797	180	11	p×s	p×s	PROPN
ejpam-797	180	12	is	be	AUX
ejpam-797	180	13	known	know	VERB
ejpam-797	180	14	,	,	PUNCT
ejpam-797	180	15	and	and	CCONJ
ejpam-797	180	16	θ	θ	PROPN
ejpam-797	180	17	p×	p×	PROPN
ejpam-797	180	18	(	(	PUNCT
ejpam-797	180	19	r	r	NOUN
ejpam-797	180	20	-	-	PUNCT
ejpam-797	180	21	s	s	NOUN
ejpam-797	180	22	)	)	PUNCT
ejpam-797	180	23	is	be	AUX
ejpam-797	180	24	unknown	unknown	ADJ
ejpam-797	180	25	where	where	SCONJ
ejpam-797	180	26	hθ	hθ	PROPN
ejpam-797	180	27	φ⊥=	φ⊥=	NOUN
ejpam-797	180	28	with	with	ADP
ejpam-797	180	29	h⊥	h⊥	PROPN
ejpam-797	180	30	p×	p×	NOUN
ejpam-797	180	31	(	(	PUNCT
ejpam-797	180	32	p	p	NOUN
ejpam-797	180	33	-	-	PUNCT
ejpam-797	180	34	s	s	NOUN
ejpam-797	180	35	)	)	PUNCT
ejpam-797	180	36	known	know	VERB
ejpam-797	180	37	and	and	CCONJ
ejpam-797	180	38	φ	φ	NUM
ejpam-797	180	39	(	(	PUNCT
ejpam-797	180	40	p	p	NOUN
ejpam-797	180	41	-	-	PUNCT
ejpam-797	180	42	s)×	s)×	NOUN
ejpam-797	180	43	(	(	PUNCT
ejpam-797	180	44	r	r	NOUN
ejpam-797	180	45	-	-	PUNCT
ejpam-797	180	46	s	s	NOUN
ejpam-797	180	47	)	)	PUNCT
ejpam-797	180	48	unknown	unknown	ADJ
ejpam-797	180	49	.	.	PUNCT
ejpam-797	181	1	this	this	DET
ejpam-797	181	2	test	test	NOUN
ejpam-797	181	3	assumes	assume	VERB
ejpam-797	181	4	s	s	VERB
ejpam-797	181	5	known	know	VERB
ejpam-797	181	6	cointegrating	cointegrate	VERB
ejpam-797	181	7	vectors	vector	NOUN
ejpam-797	181	8	and	and	CCONJ
ejpam-797	181	9	restricts	restrict	VERB
ejpam-797	181	10	the	the	DET
ejpam-797	181	11	remaining	remain	VERB
ejpam-797	181	12	r	r	NOUN
ejpam-797	181	13	-	-	PUNCT
ejpam-797	181	14	s	s	NOUN
ejpam-797	181	15	unknown	unknown	ADJ
ejpam-797	181	16	cointegrating	cointegrate	VERB
ejpam-797	181	17	vectors	vector	NOUN
ejpam-797	181	18	to	to	PART
ejpam-797	181	19	be	be	AUX
ejpam-797	181	20	orthogonal	orthogonal	ADJ
ejpam-797	181	21	to	to	ADP
ejpam-797	181	22	them	they	PRON
ejpam-797	181	23	.	.	PUNCT
ejpam-797	182	1	the	the	DET
ejpam-797	182	2	likelihood	likelihood	NOUN
ejpam-797	182	3	ratio	ratio	NOUN
ejpam-797	182	4	test	test	NOUN
ejpam-797	182	5	of	of	ADP
ejpam-797	182	6	0h	0h	PROPN
ejpam-797	182	7	in	in	ADP
ejpam-797	182	8	(	(	PUNCT
ejpam-797	182	9	)	)	PUNCT
ejpam-797	182	10	h	h	NOUN
ejpam-797	182	11	r	r	NOUN
ejpam-797	182	12	is	be	AUX
ejpam-797	182	13	asymptotically	asymptotically	ADV
ejpam-797	182	14	distributed	distribute	VERB
ejpam-797	182	15	as	as	ADP
ejpam-797	182	16	2χ	2χ	NOUN
ejpam-797	182	17	with	with	ADP
ejpam-797	182	18	s(p	s(p	PROPN
ejpam-797	182	19	-	-	PUNCT
ejpam-797	182	20	r	r	NOUN
ejpam-797	182	21	)	)	PUNCT
ejpam-797	182	22	degrees	degree	NOUN
ejpam-797	182	23	of	of	ADP
ejpam-797	182	24	freedom	freedom	NOUN
ejpam-797	182	25	.	.	PUNCT
ejpam-797	183	1	(	(	PUNCT
ejpam-797	183	2	3	3	NUM
ejpam-797	183	3	)	)	PUNCT
ejpam-797	183	4	0	0	NUM
ejpam-797	184	1	:	:	PUNCT
ejpam-797	184	2	h	h	PROPN
ejpam-797	184	3	aα	aα	NOUN
ejpam-797	184	4	ψ=	ψ=	NOUN
ejpam-797	184	5	(	(	PUNCT
ejpam-797	184	6	johansen	johansen	PROPN
ejpam-797	184	7	and	and	CCONJ
ejpam-797	184	8	juselius	juselius	NOUN
ejpam-797	185	1	[	[	X
ejpam-797	185	2	25	25	NUM
ejpam-797	185	3	]	]	PUNCT
ejpam-797	185	4	)	)	PUNCT
ejpam-797	185	5	,	,	PUNCT
ejpam-797	185	6	(	(	PUNCT
ejpam-797	185	7	19	19	NUM
ejpam-797	185	8	)	)	PUNCT
ejpam-797	185	9	where	where	SCONJ
ejpam-797	185	10	a	a	DET
ejpam-797	185	11	p×m	p×m	PROPN
ejpam-797	185	12	is	be	AUX
ejpam-797	185	13	known	know	VERB
ejpam-797	185	14	and	and	CCONJ
ejpam-797	185	15	ψ	ψ	X
ejpam-797	185	16	m×r	m×r	PROPN
ejpam-797	185	17	is	be	AUX
ejpam-797	185	18	unknown	unknown	ADJ
ejpam-797	185	19	,	,	PUNCT
ejpam-797	185	20	m≤r	m≤r	ADJ
ejpam-797	185	21	<	<	X
ejpam-797	185	22	p.	p.	NOUN
ejpam-797	185	23	this	this	DET
ejpam-797	185	24	test	test	NOUN
ejpam-797	185	25	places	place	VERB
ejpam-797	185	26	the	the	DET
ejpam-797	185	27	same	same	ADJ
ejpam-797	185	28	p	p	NOUN
ejpam-797	185	29	-	-	PUNCT
ejpam-797	185	30	m	m	NOUN
ejpam-797	185	31	linear	linear	PROPN
ejpam-797	185	32	restrictions	restriction	NOUN
ejpam-797	185	33	on	on	ADP
ejpam-797	185	34	all	all	DET
ejpam-797	185	35	disequilibrium	disequilibrium	NOUN
ejpam-797	185	36	adjustment	adjustment	NOUN
ejpam-797	185	37	vectors	vector	NOUN
ejpam-797	185	38	in	in	ADP
ejpam-797	185	39	α	α	NOUN
ejpam-797	185	40	.	.	PUNCT
ejpam-797	186	1	this	this	PRON
ejpam-797	186	2	can	can	AUX
ejpam-797	186	3	be	be	AUX
ejpam-797	186	4	interpreted	interpret	VERB
ejpam-797	186	5	as	as	ADP
ejpam-797	186	6	a	a	DET
ejpam-797	186	7	test	test	NOUN
ejpam-797	186	8	of	of	ADP
ejpam-797	186	9	0b	0b	NOUN
ejpam-797	186	10	α′	α′	NUM
ejpam-797	186	11	=	=	PUNCT
ejpam-797	186	12	for	for	ADP
ejpam-797	186	13	b	b	PROPN
ejpam-797	186	14	a⊥=	a⊥=	PROPN
ejpam-797	186	15	.	.	PUNCT
ejpam-797	187	1	the	the	DET
ejpam-797	187	2	likelihood	likelihood	NOUN
ejpam-797	187	3	ratio	ratio	NOUN
ejpam-797	187	4	test	test	NOUN
ejpam-797	187	5	of	of	ADP
ejpam-797	187	6	0h	0h	PROPN
ejpam-797	187	7	in	in	ADP
ejpam-797	187	8	(	(	PUNCT
ejpam-797	187	9	)	)	PUNCT
ejpam-797	187	10	h	h	NOUN
ejpam-797	187	11	r	r	NOUN
ejpam-797	187	12	is	be	AUX
ejpam-797	187	13	asymptotically	asymptotically	ADV
ejpam-797	187	14	distributed	distribute	VERB
ejpam-797	187	15	as	as	ADP
ejpam-797	187	16	2χ	2χ	NUM
ejpam-797	187	17	with	with	ADP
ejpam-797	187	18	r(p	r(p	PROPN
ejpam-797	187	19	-	-	PUNCT
ejpam-797	187	20	m	m	NOUN
ejpam-797	187	21	)	)	PUNCT
ejpam-797	187	22	degrees	degree	NOUN
ejpam-797	187	23	of	of	ADP
ejpam-797	187	24	freedom	freedom	NOUN
ejpam-797	187	25	.	.	PUNCT
ejpam-797	188	1	one	one	PRON
ejpam-797	188	2	may	may	AUX
ejpam-797	188	3	use	use	VERB
ejpam-797	188	4	(	(	PUNCT
ejpam-797	188	5	3	3	NUM
ejpam-797	188	6	)	)	PUNCT
ejpam-797	188	7	to	to	PART
ejpam-797	188	8	test	test	VERB
ejpam-797	188	9	that	that	SCONJ
ejpam-797	188	10	some	some	PRON
ejpam-797	188	11	or	or	CCONJ
ejpam-797	188	12	all	all	PRON
ejpam-797	188	13	of	of	ADP
ejpam-797	188	14	the	the	DET
ejpam-797	188	15	cointegrating	cointegrate	VERB
ejpam-797	188	16	relationships	relationship	NOUN
ejpam-797	188	17	do	do	AUX
ejpam-797	188	18	not	not	PART
ejpam-797	188	19	appear	appear	VERB
ejpam-797	188	20	in	in	ADP
ejpam-797	188	21	the	the	DET
ejpam-797	188	22	short	short	ADJ
ejpam-797	188	23	run	run	NOUN
ejpam-797	188	24	equation	equation	NOUN
ejpam-797	188	25	for	for	ADP
ejpam-797	188	26	a	a	DET
ejpam-797	188	27	subset	subset	NOUN
ejpam-797	188	28	of	of	ADP
ejpam-797	188	29	the	the	DET
ejpam-797	188	30	variables	variable	NOUN
ejpam-797	188	31	in	in	ADP
ejpam-797	188	32	the	the	DET
ejpam-797	188	33	system	system	NOUN
ejpam-797	188	34	,	,	PUNCT
ejpam-797	188	35	that	that	ADV
ejpam-797	188	36	is	is	ADV
ejpam-797	188	37	,	,	PUNCT
ejpam-797	188	38	that	that	SCONJ
ejpam-797	188	39	a	a	DET
ejpam-797	188	40	subset	subset	NOUN
ejpam-797	188	41	of	of	ADP
ejpam-797	188	42	the	the	DET
ejpam-797	188	43	variables	variable	NOUN
ejpam-797	188	44	do	do	AUX
ejpam-797	188	45	not	not	PART
ejpam-797	188	46	error	error	VERB
ejpam-797	188	47	correct	correct	ADJ
ejpam-797	188	48	to	to	ADP
ejpam-797	188	49	some	some	PRON
ejpam-797	188	50	or	or	CCONJ
ejpam-797	188	51	all	all	PRON
ejpam-797	188	52	of	of	ADP
ejpam-797	188	53	the	the	DET
ejpam-797	188	54	stochastic	stochastic	ADJ
ejpam-797	188	55	trends	trend	NOUN
ejpam-797	188	56	in	in	ADP
ejpam-797	188	57	the	the	DET
ejpam-797	188	58	system	system	NOUN
ejpam-797	188	59	.	.	PUNCT
ejpam-797	189	1	(	(	PUNCT
ejpam-797	189	2	4	4	NUM
ejpam-797	189	3	)	)	PUNCT
ejpam-797	189	4	[	[	PUNCT
ejpam-797	189	5	]	]	X
ejpam-797	189	6	0	0	NUM
ejpam-797	189	7	:	:	PUNCT
ejpam-797	189	8	,	,	PUNCT
ejpam-797	189	9	h	h	NOUN
ejpam-797	189	10	aα	aα	NOUN
ejpam-797	189	11	τ=	τ=	VERB
ejpam-797	189	12	(	(	PUNCT
ejpam-797	190	1	johansen	johansen	PROPN
ejpam-797	190	2	[	[	X
ejpam-797	190	3	20	20	NUM
ejpam-797	190	4	]	]	NUM
ejpam-797	190	5	)	)	PUNCT
ejpam-797	190	6	,	,	PUNCT
ejpam-797	190	7	(	(	PUNCT
ejpam-797	190	8	20	20	NUM
ejpam-797	190	9	)	)	PUNCT
ejpam-797	190	10	where	where	SCONJ
ejpam-797	190	11	a	a	DET
ejpam-797	190	12	p×m	p×m	PROPN
ejpam-797	190	13	is	be	AUX
ejpam-797	190	14	known	know	VERB
ejpam-797	190	15	,	,	PUNCT
ejpam-797	190	16	and	and	CCONJ
ejpam-797	190	17	τ	τ	PROPN
ejpam-797	190	18	p×(r	p×(r	PROPN
ejpam-797	190	19	-	-	PROPN
ejpam-797	190	20	m	m	PRON
ejpam-797	190	21	)	)	PUNCT
ejpam-797	190	22	is	be	AUX
ejpam-797	190	23	unknown	unknown	ADJ
ejpam-797	190	24	where	where	SCONJ
ejpam-797	190	25	aτ	aτ	ADV
ejpam-797	190	26	ψ⊥=	ψ⊥=	VERB
ejpam-797	190	27	with	with	ADP
ejpam-797	190	28	a⊥	a⊥	NOUN
ejpam-797	190	29	p×(p	p×(p	X
ejpam-797	190	30	-	-	X
ejpam-797	190	31	m	m	VERB
ejpam-797	190	32	)	)	PUNCT
ejpam-797	190	33	known	know	VERB
ejpam-797	190	34	and	and	CCONJ
ejpam-797	190	35	ψ	ψ	X
ejpam-797	190	36	(	(	PUNCT
ejpam-797	190	37	p	p	X
ejpam-797	190	38	-	-	PUNCT
ejpam-797	190	39	m)×(r	m)×(r	NOUN
ejpam-797	190	40	-	-	PUNCT
ejpam-797	190	41	m	m	NOUN
ejpam-797	190	42	)	)	PUNCT
ejpam-797	190	43	unknown	unknown	ADJ
ejpam-797	190	44	.	.	PUNCT
ejpam-797	191	1	this	this	DET
ejpam-797	191	2	test	test	NOUN
ejpam-797	191	3	allows	allow	VERB
ejpam-797	191	4	for	for	ADP
ejpam-797	191	5	m	m	PROPN
ejpam-797	191	6	known	know	VERB
ejpam-797	191	7	adjustment	adjustment	NOUN
ejpam-797	191	8	vectors	vector	NOUN
ejpam-797	191	9	and	and	CCONJ
ejpam-797	191	10	restricts	restrict	VERB
ejpam-797	191	11	the	the	DET
ejpam-797	191	12	remaining	remain	VERB
ejpam-797	191	13	r	r	VERB
ejpam-797	191	14	-	-	PUNCT
ejpam-797	191	15	m	m	NOUN
ejpam-797	191	16	adjustment	adjustment	NOUN
ejpam-797	191	17	vectors	vector	NOUN
ejpam-797	191	18	to	to	PART
ejpam-797	191	19	be	be	AUX
ejpam-797	191	20	orthogonal	orthogonal	ADJ
ejpam-797	191	21	to	to	ADP
ejpam-797	191	22	them	they	PRON
ejpam-797	191	23	.	.	PUNCT
ejpam-797	192	1	the	the	DET
ejpam-797	192	2	likelihood	likelihood	NOUN
ejpam-797	192	3	ratio	ratio	NOUN
ejpam-797	192	4	test	test	NOUN
ejpam-797	192	5	of	of	ADP
ejpam-797	192	6	0h	0h	PROPN
ejpam-797	192	7	in	in	ADP
ejpam-797	192	8	(	(	PUNCT
ejpam-797	192	9	)	)	PUNCT
ejpam-797	192	10	h	h	NOUN
ejpam-797	192	11	r	r	NOUN
ejpam-797	192	12	is	be	AUX
ejpam-797	192	13	asymptotically	asymptotically	ADV
ejpam-797	192	14	distributed	distribute	VERB
ejpam-797	192	15	as	as	ADP
ejpam-797	192	16	2χ	2χ	NUM
ejpam-797	192	17	with	with	ADP
ejpam-797	192	18	m(p	m(p	PROPN
ejpam-797	192	19	-	-	PUNCT
ejpam-797	192	20	r	r	NOUN
ejpam-797	192	21	)	)	PUNCT
ejpam-797	192	22	degrees	degree	NOUN
ejpam-797	192	23	of	of	ADP
ejpam-797	192	24	freedom	freedom	NOUN
ejpam-797	192	25	.	.	PUNCT
ejpam-797	193	1	(	(	PUNCT
ejpam-797	193	2	5	5	NUM
ejpam-797	193	3	)	)	PUNCT
ejpam-797	193	4	0	0	NUM
ejpam-797	194	1	:	:	PUNCT
ejpam-797	194	2	,	,	PUNCT
ejpam-797	194	3	h	h	NOUN
ejpam-797	194	4	h	h	NOUN
ejpam-797	195	1	aβ	aβ	VERB
ejpam-797	195	2	φ	φ	PROPN
ejpam-797	195	3	α	α	PROPN
ejpam-797	195	4	ψ=	ψ=	PUNCT
ejpam-797	195	5	=	=	SYM
ejpam-797	195	6	(	(	PUNCT
ejpam-797	196	1	johansen	johansen	PROPN
ejpam-797	196	2	and	and	CCONJ
ejpam-797	196	3	juselius	juselius	NOUN
ejpam-797	197	1	[	[	X
ejpam-797	197	2	25	25	NUM
ejpam-797	197	3	]	]	PUNCT
ejpam-797	197	4	)	)	PUNCT
ejpam-797	197	5	,	,	PUNCT
ejpam-797	197	6	(	(	PUNCT
ejpam-797	197	7	21	21	NUM
ejpam-797	197	8	)	)	PUNCT
ejpam-797	197	9	where	where	SCONJ
ejpam-797	197	10	h	h	PROPN
ejpam-797	197	11	p×s	p×s	PROPN
ejpam-797	197	12	,	,	PUNCT
ejpam-797	197	13	a	a	DET
ejpam-797	197	14	p×m	p×m	NOUN
ejpam-797	197	15	are	be	AUX
ejpam-797	197	16	known	know	VERB
ejpam-797	197	17	and	and	CCONJ
ejpam-797	197	18	φ	φ	PROPN
ejpam-797	197	19	s×r	s×r	PROPN
ejpam-797	197	20	,	,	PUNCT
ejpam-797	197	21	ψ	ψ	ADP
ejpam-797	197	22	m×r	m×r	PROPN
ejpam-797	197	23	are	be	AUX
ejpam-797	197	24	unknown	unknown	ADJ
ejpam-797	197	25	,	,	PUNCT
ejpam-797	197	26	r≤s	r≤s	PROPN
ejpam-797	197	27	<	<	X
ejpam-797	197	28	p	p	NOUN
ejpam-797	197	29	and	and	CCONJ
ejpam-797	197	30	r≤m	r≤m	NOUN
ejpam-797	197	31	<	<	NOUN
ejpam-797	197	32	p.	p.	NOUN
ejpam-797	197	33	this	this	DET
ejpam-797	197	34	test	test	NOUN
ejpam-797	197	35	combines	combine	VERB
ejpam-797	197	36	tests	test	NOUN
ejpam-797	197	37	(	(	PUNCT
ejpam-797	197	38	1	1	NUM
ejpam-797	197	39	)	)	PUNCT
ejpam-797	197	40	and	and	CCONJ
ejpam-797	197	41	(	(	PUNCT
ejpam-797	197	42	3	3	NUM
ejpam-797	197	43	)	)	PUNCT
ejpam-797	197	44	,	,	PUNCT
ejpam-797	197	45	testing	test	VERB
ejpam-797	197	46	for	for	ADP
ejpam-797	197	47	cointegrating	cointegrate	VERB
ejpam-797	197	48	vectors	vector	NOUN
ejpam-797	197	49	with	with	ADP
ejpam-797	197	50	p	p	NOUN
ejpam-797	197	51	-	-	PUNCT
ejpam-797	197	52	s	s	NOUN
ejpam-797	197	53	common	common	ADJ
ejpam-797	197	54	linear	linear	ADJ
ejpam-797	197	55	restrictions	restriction	NOUN
ejpam-797	197	56	and	and	CCONJ
ejpam-797	197	57	adjustment	adjustment	NOUN
ejpam-797	197	58	vectors	vector	NOUN
ejpam-797	197	59	with	with	ADP
ejpam-797	197	60	p	p	PROPN
ejpam-797	197	61	-	-	PUNCT
ejpam-797	197	62	m	m	NOUN
ejpam-797	197	63	common	common	ADJ
ejpam-797	197	64	linear	linear	ADJ
ejpam-797	197	65	restrictions	restriction	NOUN
ejpam-797	197	66	.	.	PUNCT
ejpam-797	198	1	the	the	DET
ejpam-797	198	2	likelihood	likelihood	NOUN
ejpam-797	198	3	ratio	ratio	NOUN
ejpam-797	198	4	test	test	NOUN
ejpam-797	198	5	of	of	ADP
ejpam-797	198	6	0h	0h	PROPN
ejpam-797	198	7	in	in	ADP
ejpam-797	198	8	(	(	PUNCT
ejpam-797	198	9	)	)	PUNCT
ejpam-797	198	10	h	h	NOUN
ejpam-797	198	11	r	r	NOUN
ejpam-797	198	12	is	be	AUX
ejpam-797	198	13	asymptotically	asymptotically	ADV
ejpam-797	198	14	distributed	distribute	VERB
ejpam-797	198	15	as	as	ADP
ejpam-797	198	16	2χ	2χ	NUM
ejpam-797	198	17	with	with	ADP
ejpam-797	198	18	r(p	r(p	PROPN
ejpam-797	198	19	-	-	PUNCT
ejpam-797	198	20	s)+r(p	s)+r(p	NOUN
ejpam-797	198	21	-	-	PUNCT
ejpam-797	198	22	m	m	NOUN
ejpam-797	198	23	)	)	PUNCT
ejpam-797	198	24	degrees	degree	NOUN
ejpam-797	198	25	of	of	ADP
ejpam-797	198	26	freedom	freedom	NOUN
ejpam-797	198	27	.	.	PUNCT
ejpam-797	199	1	in	in	ADP
ejpam-797	199	2	the	the	DET
ejpam-797	199	3	same	same	ADJ
ejpam-797	199	4	framework	framework	NOUN
ejpam-797	199	5	as	as	ADP
ejpam-797	199	6	the	the	DET
ejpam-797	199	7	tests	test	NOUN
ejpam-797	199	8	above	above	ADV
ejpam-797	199	9	,	,	PUNCT
ejpam-797	199	10	three	three	NUM
ejpam-797	199	11	new	new	ADJ
ejpam-797	199	12	tests	test	NOUN
ejpam-797	199	13	for	for	ADP
ejpam-797	199	14	simultaneous	simultaneous	ADJ
ejpam-797	199	15	restrictions	restriction	NOUN
ejpam-797	199	16	on	on	ADP
ejpam-797	199	17	βand	βand	CCONJ
ejpam-797	199	18	α	α	PROPN
ejpam-797	199	19	are	be	AUX
ejpam-797	199	20	presented	present	VERB
ejpam-797	199	21	.	.	PUNCT
ejpam-797	200	1	n.	n.	PROPN
ejpam-797	200	2	morin	morin	PROPN
ejpam-797	200	3	/	/	SYM
ejpam-797	200	4	eur	eur	PROPN
ejpam-797	200	5	.	.	PUNCT
ejpam-797	201	1	j.	j.	PROPN
ejpam-797	201	2	pure	pure	PROPN
ejpam-797	201	3	appl	appl	PROPN
ejpam-797	201	4	.	.	PUNCT
ejpam-797	202	1	math	math	NOUN
ejpam-797	202	2	548	548	NUM
ejpam-797	202	3	(	(	PUNCT
ejpam-797	202	4	6	6	NUM
ejpam-797	202	5	)	)	PUNCT
ejpam-797	202	6	[	[	PUNCT
ejpam-797	202	7	]	]	X
ejpam-797	202	8	0	0	NUM
ejpam-797	202	9	:	:	PUNCT
ejpam-797	202	10	,	,	PUNCT
ejpam-797	202	11	,	,	PUNCT
ejpam-797	202	12	h	h	NOUN
ejpam-797	202	13	h	h	NOUN
ejpam-797	203	1	aβ	aβ	VERB
ejpam-797	203	2	θ	θ	PROPN
ejpam-797	203	3	α	α	INTJ
ejpam-797	203	4	ψ=	ψ=	NOUN
ejpam-797	203	5	=	=	SYM
ejpam-797	203	6	(	(	PUNCT
ejpam-797	203	7	22	22	NUM
ejpam-797	203	8	)	)	PUNCT
ejpam-797	203	9	where	where	SCONJ
ejpam-797	203	10	h	h	PROPN
ejpam-797	203	11	p×s	p×s	PROPN
ejpam-797	203	12	,	,	PUNCT
ejpam-797	203	13	a	a	DET
ejpam-797	203	14	p×m	p×m	NOUN
ejpam-797	203	15	are	be	AUX
ejpam-797	203	16	known	know	VERB
ejpam-797	203	17	;	;	PUNCT
ejpam-797	204	1	θ	θ	PROPN
ejpam-797	204	2	p×(r	p×(r	PROPN
ejpam-797	204	3	-	-	PUNCT
ejpam-797	204	4	s	s	PART
ejpam-797	204	5	)	)	PUNCT
ejpam-797	204	6	is	be	AUX
ejpam-797	204	7	unknown	unknown	ADJ
ejpam-797	204	8	where	where	SCONJ
ejpam-797	204	9	hθ	hθ	PROPN
ejpam-797	204	10	φ⊥=	φ⊥=	NOUN
ejpam-797	204	11	with	with	ADP
ejpam-797	204	12	h⊥	h⊥	NOUN
ejpam-797	204	13	p×(p	p×(p	ADV
ejpam-797	204	14	-	-	X
ejpam-797	204	15	s	s	X
ejpam-797	204	16	)	)	PUNCT
ejpam-797	204	17	known	know	VERB
ejpam-797	204	18	and	and	CCONJ
ejpam-797	204	19	φ	φ	NUM
ejpam-797	204	20	(	(	PUNCT
ejpam-797	204	21	p	p	NOUN
ejpam-797	204	22	-	-	PUNCT
ejpam-797	204	23	s)×(r	s)×(r	NOUN
ejpam-797	204	24	-	-	PUNCT
ejpam-797	204	25	s	s	NOUN
ejpam-797	204	26	)	)	PUNCT
ejpam-797	204	27	unknown	unknown	ADJ
ejpam-797	204	28	;	;	PUNCT
ejpam-797	204	29	and	and	CCONJ
ejpam-797	204	30	ψ	ψ	X
ejpam-797	204	31	m×	m×	PROPN
ejpam-797	204	32	r	r	NOUN
ejpam-797	204	33	is	be	AUX
ejpam-797	204	34	unknown	unknown	ADJ
ejpam-797	204	35	,	,	PUNCT
ejpam-797	204	36	s≤r≤m	s≤r≤m	PROPN
ejpam-797	204	37	<	<	X
ejpam-797	204	38	p.	p.	NOUN
ejpam-797	204	39	this	this	DET
ejpam-797	204	40	test	test	NOUN
ejpam-797	204	41	combines	combine	VERB
ejpam-797	204	42	tests	test	NOUN
ejpam-797	204	43	(	(	PUNCT
ejpam-797	204	44	2	2	NUM
ejpam-797	204	45	)	)	PUNCT
ejpam-797	204	46	and	and	CCONJ
ejpam-797	204	47	(	(	PUNCT
ejpam-797	204	48	3	3	NUM
ejpam-797	204	49	)	)	PUNCT
ejpam-797	204	50	,	,	PUNCT
ejpam-797	204	51	that	that	ADV
ejpam-797	204	52	is	is	ADV
ejpam-797	204	53	,	,	PUNCT
ejpam-797	204	54	it	it	PRON
ejpam-797	204	55	tests	test	VERB
ejpam-797	204	56	the	the	DET
ejpam-797	204	57	restriction	restriction	NOUN
ejpam-797	204	58	that	that	PRON
ejpam-797	204	59	s	s	VERB
ejpam-797	204	60	of	of	ADP
ejpam-797	204	61	the	the	DET
ejpam-797	204	62	cointegrating	cointegrate	VERB
ejpam-797	204	63	vectors	vector	NOUN
ejpam-797	204	64	are	be	AUX
ejpam-797	204	65	known	know	VERB
ejpam-797	204	66	—	—	PUNCT
ejpam-797	204	67	restricting	restrict	VERB
ejpam-797	204	68	the	the	DET
ejpam-797	204	69	remaining	remain	VERB
ejpam-797	204	70	r	r	NOUN
ejpam-797	204	71	-	-	PUNCT
ejpam-797	204	72	s	s	NOUN
ejpam-797	204	73	cointegrating	cointegrate	VERB
ejpam-797	204	74	vectors	vector	NOUN
ejpam-797	204	75	to	to	PART
ejpam-797	204	76	be	be	AUX
ejpam-797	204	77	orthogonal	orthogonal	ADJ
ejpam-797	204	78	to	to	ADP
ejpam-797	204	79	them	they	PRON
ejpam-797	204	80	—	—	PUNCT
ejpam-797	204	81	and	and	CCONJ
ejpam-797	204	82	that	that	SCONJ
ejpam-797	204	83	the	the	DET
ejpam-797	204	84	adjustment	adjustment	NOUN
ejpam-797	204	85	vectors	vector	NOUN
ejpam-797	204	86	share	share	VERB
ejpam-797	204	87	p	p	NOUN
ejpam-797	204	88	-	-	PUNCT
ejpam-797	204	89	m	m	NOUN
ejpam-797	204	90	linear	linear	PROPN
ejpam-797	204	91	restrictions	restriction	NOUN
ejpam-797	204	92	.	.	PUNCT
ejpam-797	205	1	for	for	ADP
ejpam-797	205	2	example	example	NOUN
ejpam-797	205	3	,	,	PUNCT
ejpam-797	205	4	if	if	SCONJ
ejpam-797	205	5	a	a	DET
ejpam-797	205	6	system	system	NOUN
ejpam-797	205	7	of	of	ADP
ejpam-797	205	8	variables	variable	NOUN
ejpam-797	205	9	includes	include	VERB
ejpam-797	205	10	a	a	DET
ejpam-797	205	11	short	short	ADJ
ejpam-797	205	12	-	-	PUNCT
ejpam-797	205	13	term	term	NOUN
ejpam-797	205	14	and	and	CCONJ
ejpam-797	205	15	a	a	DET
ejpam-797	205	16	long	long	ADJ
ejpam-797	205	17	-	-	PUNCT
ejpam-797	205	18	term	term	NOUN
ejpam-797	205	19	interest	interest	NOUN
ejpam-797	205	20	rate	rate	NOUN
ejpam-797	205	21	,	,	PUNCT
ejpam-797	205	22	(	(	PUNCT
ejpam-797	205	23	6	6	NUM
ejpam-797	205	24	)	)	PUNCT
ejpam-797	205	25	could	could	AUX
ejpam-797	205	26	be	be	AUX
ejpam-797	205	27	used	use	VERB
ejpam-797	205	28	to	to	PART
ejpam-797	205	29	test	test	VERB
ejpam-797	205	30	whether	whether	SCONJ
ejpam-797	205	31	the	the	DET
ejpam-797	205	32	spread	spread	NOUN
ejpam-797	205	33	between	between	ADP
ejpam-797	205	34	the	the	DET
ejpam-797	205	35	long	long	ADJ
ejpam-797	205	36	-	-	PUNCT
ejpam-797	205	37	term	term	NOUN
ejpam-797	205	38	and	and	CCONJ
ejpam-797	205	39	short	short	ADJ
ejpam-797	205	40	-	-	PUNCT
ejpam-797	205	41	term	term	NOUN
ejpam-797	205	42	interest	interest	NOUN
ejpam-797	205	43	rates	rate	NOUN
ejpam-797	205	44	was	be	AUX
ejpam-797	205	45	a	a	DET
ejpam-797	205	46	cointegrating	cointegrate	VERB
ejpam-797	205	47	relationship	relationship	NOUN
ejpam-797	205	48	and	and	CCONJ
ejpam-797	205	49	to	to	PART
ejpam-797	205	50	test	test	VERB
ejpam-797	205	51	simultaneously	simultaneously	ADV
ejpam-797	205	52	whether	whether	SCONJ
ejpam-797	205	53	the	the	DET
ejpam-797	205	54	short	short	ADJ
ejpam-797	205	55	-	-	PUNCT
ejpam-797	205	56	term	term	NOUN
ejpam-797	205	57	interest	interest	NOUN
ejpam-797	205	58	rate	rate	NOUN
ejpam-797	205	59	failed	fail	VERB
ejpam-797	205	60	to	to	PART
ejpam-797	205	61	react	react	VERB
ejpam-797	205	62	to	to	ADP
ejpam-797	205	63	any	any	PRON
ejpam-797	205	64	of	of	ADP
ejpam-797	205	65	the	the	DET
ejpam-797	205	66	cointegrating	cointegrate	VERB
ejpam-797	205	67	relationships	relationship	NOUN
ejpam-797	205	68	in	in	ADP
ejpam-797	205	69	the	the	DET
ejpam-797	205	70	system	system	NOUN
ejpam-797	205	71	.	.	PUNCT
ejpam-797	206	1	to	to	PART
ejpam-797	206	2	calculate	calculate	VERB
ejpam-797	206	3	the	the	DET
ejpam-797	206	4	test	test	NOUN
ejpam-797	206	5	statistic	statistic	NOUN
ejpam-797	206	6	and	and	CCONJ
ejpam-797	206	7	the	the	DET
ejpam-797	206	8	estimated	estimate	VERB
ejpam-797	206	9	cointegrating	cointegrate	VERB
ejpam-797	206	10	relationships	relationship	NOUN
ejpam-797	206	11	and	and	CCONJ
ejpam-797	206	12	adjustment	adjustment	NOUN
ejpam-797	206	13	vectors	vector	NOUN
ejpam-797	206	14	,	,	PUNCT
ejpam-797	206	15	the	the	DET
ejpam-797	206	16	reduced	reduced	ADJ
ejpam-797	206	17	rank	rank	NOUN
ejpam-797	206	18	regression	regression	NOUN
ejpam-797	206	19	(	(	PUNCT
ejpam-797	206	20	16	16	NUM
ejpam-797	206	21	)	)	PUNCT
ejpam-797	206	22	first	first	ADV
ejpam-797	206	23	is	be	AUX
ejpam-797	206	24	split	split	VERB
ejpam-797	206	25	into	into	ADP
ejpam-797	206	26	0	0	NUM
ejpam-797	206	27	1	1	NUM
ejpam-797	206	28	1	1	NUM
ejpam-797	206	29	2	2	NUM
ejpam-797	206	30	1	1	NUM
ejpam-797	206	31	0	0	NUM
ejpam-797	206	32	t	t	NOUN
ejpam-797	206	33	t	t	PROPN
ejpam-797	206	34	t	t	PROPN
ejpam-797	206	35	t	t	PROPN
ejpam-797	206	36	t	t	PROPN
ejpam-797	206	37	t	t	PROPN
ejpam-797	207	1	a	a	PRON
ejpam-797	207	2	r	r	NOUN
ejpam-797	207	3	h	h	NOUN
ejpam-797	208	1	r	r	NOUN
ejpam-797	209	1	h	h	NOUN
ejpam-797	210	1	r	r	NOUN
ejpam-797	210	2	a	a	PRON
ejpam-797	210	3	a	a	DET
ejpam-797	210	4	r	r	NOUN
ejpam-797	210	5	a	a	DET
ejpam-797	210	6	ψ	ψ	X
ejpam-797	210	7	ψ	ψ	X
ejpam-797	210	8	φ	φ	X
ejpam-797	210	9	ε	ε	PROPN
ejpam-797	210	10	ε	ε	PROPN
ejpam-797	211	1	⊥	⊥	PROPN
ejpam-797	211	2	⊥	⊥	PROPN
ejpam-797	211	3	⊥	⊥	NOUN
ejpam-797	211	4	′	′	NUM
ejpam-797	211	5	′	′	NUM
ejpam-797	212	1	′	′	NUM
ejpam-797	213	1	′	′	NUM
ejpam-797	214	1	′=	′=	PROPN
ejpam-797	214	2	+	+	PUNCT
ejpam-797	215	1	+	+	CCONJ
ejpam-797	215	2	′	′	NUM
ejpam-797	215	3	′=	′=	PROPN
ejpam-797	215	4	,	,	PUNCT
ejpam-797	215	5	(	(	PUNCT
ejpam-797	215	6	23	23	NUM
ejpam-797	215	7	)	)	PUNCT
ejpam-797	215	8	where	where	SCONJ
ejpam-797	215	9	ψ	ψ	NOUN
ejpam-797	215	10	is	be	AUX
ejpam-797	215	11	partitioned	partition	VERB
ejpam-797	215	12	conformably	conformably	ADV
ejpam-797	215	13	with	with	ADP
ejpam-797	215	14	β	β	PRON
ejpam-797	215	15	as	as	ADP
ejpam-797	215	16	[	[	PUNCT
ejpam-797	215	17	]	]	X
ejpam-797	215	18	1	1	NUM
ejpam-797	215	19	2,ψ	2,ψ	NUM
ejpam-797	215	20	ψ	ψ	NOUN
ejpam-797	215	21	.	.	PUNCT
ejpam-797	216	1	in	in	SCONJ
ejpam-797	216	2	order	order	NOUN
ejpam-797	216	3	to	to	PART
ejpam-797	216	4	derive	derive	VERB
ejpam-797	216	5	the	the	DET
ejpam-797	216	6	test	test	NOUN
ejpam-797	216	7	statistic	statistic	NOUN
ejpam-797	216	8	and	and	CCONJ
ejpam-797	216	9	to	to	PART
ejpam-797	216	10	estimate	estimate	VERB
ejpam-797	216	11	the	the	DET
ejpam-797	216	12	restricted	restricted	ADJ
ejpam-797	216	13	parameters	parameter	NOUN
ejpam-797	216	14	under	under	ADP
ejpam-797	216	15	this	this	DET
ejpam-797	216	16	hypothesis	hypothesis	NOUN
ejpam-797	216	17	it	it	PRON
ejpam-797	216	18	is	be	AUX
ejpam-797	216	19	necessary	necessary	ADJ
ejpam-797	216	20	to	to	PART
ejpam-797	216	21	transform	transform	VERB
ejpam-797	216	22	the	the	DET
ejpam-797	216	23	product	product	NOUN
ejpam-797	216	24	moment	moment	NOUN
ejpam-797	216	25	matrices	matrix	NOUN
ejpam-797	216	26	,	,	PUNCT
ejpam-797	216	27	ijs	ijs	PROPN
ejpam-797	216	28	.	.	PUNCT
ejpam-797	216	29	define	define	VERB
ejpam-797	216	30	two	two	NUM
ejpam-797	216	31	set	set	NOUN
ejpam-797	216	32	of	of	ADP
ejpam-797	216	33	moment	moment	NOUN
ejpam-797	216	34	matrices	matrix	NOUN
ejpam-797	216	35	:	:	PUNCT
ejpam-797	216	36	(	(	PUNCT
ejpam-797	216	37	)	)	PUNCT
ejpam-797	216	38	1	1	NUM
ejpam-797	216	39	.	.	PUNCT
ejpam-797	216	40	0	0	NUM
ejpam-797	216	41	00	00	NUM
ejpam-797	216	42	0	0	NUM
ejpam-797	216	43	,	,	PUNCT
ejpam-797	216	44	,	,	PUNCT
ejpam-797	216	45	0,1ij	0,1ij	ADP
ejpam-797	217	1	a	a	DET
ejpam-797	217	2	ij	ij	NOUN
ejpam-797	218	1	i	i	PRON
ejpam-797	218	2	js	js	VERB
ejpam-797	218	3	s	s	X
ejpam-797	218	4	s	s	X
ejpam-797	218	5	a	a	DET
ejpam-797	218	6	a	a	DET
ejpam-797	218	7	s	s	NOUN
ejpam-797	218	8	a	a	DET
ejpam-797	218	9	a	a	PRON
ejpam-797	218	10	s	s	X
ejpam-797	219	1	i	i	NOUN
ejpam-797	219	2	j	j	PROPN
ejpam-797	220	1	⊥	⊥	NOUN
ejpam-797	220	2	−	−	PROPN
ejpam-797	220	3	⊥	⊥	PROPN
ejpam-797	220	4	⊥	⊥	PROPN
ejpam-797	220	5	⊥	⊥	ADJ
ejpam-797	220	6	⊥′	⊥′	PROPN
ejpam-797	220	7	′=	′=	PROPN
ejpam-797	220	8	−	−	PROPN
ejpam-797	220	9	=	=	SYM
ejpam-797	220	10	(	(	PUNCT
ejpam-797	220	11	24	24	NUM
ejpam-797	220	12	)	)	PUNCT
ejpam-797	220	13	and	and	CCONJ
ejpam-797	220	14	(	(	PUNCT
ejpam-797	220	15	)	)	PUNCT
ejpam-797	220	16	1	1	NUM
ejpam-797	220	17	.	.	PUNCT
ejpam-797	220	18	.	.	PUNCT
ejpam-797	220	19	.	.	PUNCT
ejpam-797	221	1	1	1	X
ejpam-797	221	2	.	.	X
ejpam-797	221	3	11	11	NUM
ejpam-797	221	4	.	.	NOUN
ejpam-797	221	5	1	1	NUM
ejpam-797	221	6	.	.	PUNCT
ejpam-797	221	7	,	,	PUNCT
ejpam-797	221	8	,	,	PUNCT
ejpam-797	221	9	0,1ij	0,1ij	ADP
ejpam-797	221	10	a	a	DET
ejpam-797	221	11	h	h	NOUN
ejpam-797	222	1	ij	ij	INTJ
ejpam-797	222	2	a	a	DET
ejpam-797	222	3	i	i	PRON
ejpam-797	223	1	a	a	DET
ejpam-797	223	2	a	a	DET
ejpam-797	223	3	j	j	NOUN
ejpam-797	223	4	as	as	ADP
ejpam-797	223	5	s	s	NOUN
ejpam-797	223	6	s	s	NOUN
ejpam-797	223	7	h	h	NOUN
ejpam-797	223	8	h	h	NOUN
ejpam-797	224	1	s	s	NOUN
ejpam-797	225	1	h	h	NOUN
ejpam-797	226	1	h	h	NOUN
ejpam-797	227	1	s	s	VERB
ejpam-797	228	1	i	i	PRON
ejpam-797	228	2	j	j	PROPN
ejpam-797	229	1	⊥	⊥	X
ejpam-797	229	2	⊥	⊥	PROPN
ejpam-797	229	3	⊥	⊥	PROPN
ejpam-797	229	4	⊥	⊥	X
ejpam-797	229	5	⊥	⊥	PROPN
ejpam-797	229	6	−	−	PROPN
ejpam-797	229	7	′	′	NUM
ejpam-797	229	8	′=	′=	NOUN
ejpam-797	229	9	−	−	PROPN
ejpam-797	230	1	=	=	PUNCT
ejpam-797	230	2	.	.	PUNCT
ejpam-797	231	1	(	(	PUNCT
ejpam-797	231	2	25	25	NUM
ejpam-797	231	3	)	)	PUNCT
ejpam-797	231	4	the	the	DET
ejpam-797	231	5	restricted	restrict	VERB
ejpam-797	231	6	estimators	estimator	NOUN
ejpam-797	231	7	and	and	CCONJ
ejpam-797	231	8	the	the	DET
ejpam-797	231	9	likelihood	likelihood	NOUN
ejpam-797	231	10	ratio	ratio	NOUN
ejpam-797	231	11	test	test	NOUN
ejpam-797	231	12	statistic	statistic	NOUN
ejpam-797	231	13	and	and	CCONJ
ejpam-797	231	14	its	its	PRON
ejpam-797	231	15	asymptotic	asymptotic	ADJ
ejpam-797	231	16	distribution	distribution	NOUN
ejpam-797	231	17	are	be	AUX
ejpam-797	231	18	summarized	summarize	VERB
ejpam-797	231	19	in	in	ADP
ejpam-797	231	20	the	the	DET
ejpam-797	231	21	following	follow	VERB
ejpam-797	231	22	theorems	theorem	NOUN
ejpam-797	231	23	.	.	PUNCT
ejpam-797	232	1	theorem	theorem	NOUN
ejpam-797	232	2	1	1	NUM
ejpam-797	232	3	.	.	PUNCT
ejpam-797	233	1	under	under	ADP
ejpam-797	233	2	the	the	DET
ejpam-797	233	3	hypothesis	hypothesis	NOUN
ejpam-797	233	4	[	[	PUNCT
ejpam-797	233	5	]	]	X
ejpam-797	233	6	0	0	NUM
ejpam-797	233	7	:	:	PUNCT
ejpam-797	233	8	,	,	PUNCT
ejpam-797	233	9	,	,	PUNCT
ejpam-797	233	10	h	h	NOUN
ejpam-797	233	11	h	h	NOUN
ejpam-797	234	1	aβ	aβ	VERB
ejpam-797	234	2	θ	θ	PROPN
ejpam-797	234	3	α	α	INTJ
ejpam-797	234	4	ψ=	ψ=	NOUN
ejpam-797	235	1	=	=	PUNCT
ejpam-797	235	2	where	where	SCONJ
ejpam-797	235	3	h	h	PROPN
ejpam-797	235	4	p×s	p×s	PROPN
ejpam-797	235	5	,	,	PUNCT
ejpam-797	235	6	a	a	DET
ejpam-797	235	7	p×m	p×m	NOUN
ejpam-797	235	8	are	be	AUX
ejpam-797	235	9	known	know	VERB
ejpam-797	235	10	;	;	PUNCT
ejpam-797	235	11	θ	θ	PROPN
ejpam-797	235	12	p×(r	p×(r	PROPN
ejpam-797	235	13	-	-	PUNCT
ejpam-797	235	14	s	s	PART
ejpam-797	235	15	)	)	PUNCT
ejpam-797	235	16	is	be	AUX
ejpam-797	235	17	unknown	unknown	ADJ
ejpam-797	235	18	where	where	SCONJ
ejpam-797	235	19	hθ	hθ	PROPN
ejpam-797	235	20	φ⊥=	φ⊥=	NOUN
ejpam-797	235	21	with	with	ADP
ejpam-797	235	22	h⊥	h⊥	NOUN
ejpam-797	235	23	p×(p	p×(p	ADV
ejpam-797	235	24	-	-	X
ejpam-797	235	25	s	s	X
ejpam-797	235	26	)	)	PUNCT
ejpam-797	235	27	known	know	VERB
ejpam-797	235	28	and	and	CCONJ
ejpam-797	235	29	φ	φ	NUM
ejpam-797	235	30	(	(	PUNCT
ejpam-797	235	31	p	p	PROPN
ejpam-797	235	32	-	-	PUNCT
ejpam-797	235	33	s	s	NOUN
ejpam-797	235	34	)	)	PUNCT
ejpam-797	235	35	×	×	NOUN
ejpam-797	235	36	(	(	PUNCT
ejpam-797	235	37	r	r	NOUN
ejpam-797	235	38	-	-	PUNCT
ejpam-797	235	39	s	s	NOUN
ejpam-797	235	40	)	)	PUNCT
ejpam-797	235	41	unknown	unknown	ADJ
ejpam-797	235	42	;	;	PUNCT
ejpam-797	235	43	and	and	CCONJ
ejpam-797	235	44	ψ	ψ	X
ejpam-797	235	45	m×r	m×r	PROPN
ejpam-797	235	46	is	be	AUX
ejpam-797	235	47	unknown	unknown	ADJ
ejpam-797	235	48	,	,	PUNCT
ejpam-797	235	49	s≤r≤m	s≤r≤m	PROPN
ejpam-797	235	50	<	<	X
ejpam-797	235	51	p	p	X
ejpam-797	235	52	;	;	PUNCT
ejpam-797	235	53	the	the	DET
ejpam-797	235	54	maximum	maximum	ADJ
ejpam-797	235	55	likelihood	likelihood	NOUN
ejpam-797	235	56	estimators	estimator	NOUN
ejpam-797	235	57	are	be	AUX
ejpam-797	235	58	found	find	VERB
ejpam-797	235	59	by	by	ADP
ejpam-797	235	60	the	the	DET
ejpam-797	235	61	following	follow	VERB
ejpam-797	235	62	steps	step	NOUN
ejpam-797	235	63	:	:	PUNCT
ejpam-797	235	64	solve	solve	VERB
ejpam-797	235	65	the	the	DET
ejpam-797	235	66	eigenvalue	eigenvalue	PROPN
ejpam-797	235	67	problem	problem	NOUN
ejpam-797	235	68	(	(	PUNCT
ejpam-797	235	69	)	)	PUNCT
ejpam-797	235	70	1	1	NUM
ejpam-797	235	71	11	11	NUM
ejpam-797	235	72	.	.	PUNCT
ejpam-797	235	73	.	.	PUNCT
ejpam-797	236	1	10	10	NUM
ejpam-797	236	2	.	.	PUNCT
ejpam-797	236	3	.	.	PUNCT
ejpam-797	236	4	00	00	PUNCT
ejpam-797	236	5	.	.	PUNCT
ejpam-797	236	6	.	.	PUNCT
ejpam-797	237	1	01	01	NUM
ejpam-797	237	2	.	.	PUNCT
ejpam-797	237	3	.	.	PUNCT
ejpam-797	238	1	0a	0a	PROPN
ejpam-797	238	2	h	h	NOUN
ejpam-797	239	1	a	a	DET
ejpam-797	239	2	h	h	NOUN
ejpam-797	240	1	a	a	DET
ejpam-797	240	2	h	h	NOUN
ejpam-797	240	3	a	a	DET
ejpam-797	240	4	hh	hh	PROPN
ejpam-797	240	5	s	s	NOUN
ejpam-797	240	6	h	h	NOUN
ejpam-797	240	7	h	h	NOUN
ejpam-797	240	8	s	s	VERB
ejpam-797	240	9	a	a	PRON
ejpam-797	240	10	a	a	DET
ejpam-797	240	11	s	s	NOUN
ejpam-797	240	12	a	a	DET
ejpam-797	240	13	a	a	DET
ejpam-797	240	14	s	s	NOUN
ejpam-797	240	15	hλ	hλ	NOUN
ejpam-797	241	1	⊥	⊥	PROPN
ejpam-797	241	2	⊥	⊥	PROPN
ejpam-797	241	3	⊥	⊥	PROPN
ejpam-797	241	4	⊥	⊥	NOUN
ejpam-797	241	5	−	−	PROPN
ejpam-797	241	6	⊥	⊥	PROPN
ejpam-797	241	7	⊥	⊥	PROPN
ejpam-797	241	8	⊥	⊥	X
ejpam-797	241	9	⊥′	⊥′	PROPN
ejpam-797	241	10	′	′	NUM
ejpam-797	241	11	′	′	NUM
ejpam-797	241	12	′−	′−	PROPN
ejpam-797	241	13	=	=	PUNCT
ejpam-797	241	14	(	(	PUNCT
ejpam-797	241	15	26	26	NUM
ejpam-797	241	16	)	)	PUNCT
ejpam-797	241	17	for	for	ADP
ejpam-797	241	18	eigenvalues	eigenvalue	NOUN
ejpam-797	241	19	11	11	NUM
ejpam-797	241	20	0p	0p	NUM
ejpam-797	241	21	sλ	sλ	NOUN
ejpam-797	241	22	λ	λ	PROPN
ejpam-797	241	23	−≥	−≥	PROPN
ejpam-797	241	24	≥	≥	PROPN
ejpam-797	241	25	≥	≥	NOUN
ejpam-797	241	26	≥	≥	PROPN
ejpam-797	241	27			NOUN
ejpam-797	241	28			NUM
ejpam-797	241	29	and	and	CCONJ
ejpam-797	241	30	corresponding	corresponding	ADJ
ejpam-797	241	31	eigenvectors	eigenvector	NOUN
ejpam-797	241	32	(	(	PUNCT
ejpam-797	241	33	)	)	PUNCT
ejpam-797	241	34	1	1	NUM
ejpam-797	241	35	,	,	PUNCT
ejpam-797	241	36	,	,	PUNCT
ejpam-797	241	37	p	p	NOUN
ejpam-797	241	38	sv	sv	PROPN
ejpam-797	241	39	v	v	ADP
ejpam-797	241	40	v	v	NUM
ejpam-797	241	41	−=	−=	PRON
ejpam-797	241	42			ADJ
ejpam-797	241	43			NOUN
ejpam-797	241	44			PROPN
ejpam-797	241	45	,	,	PUNCT
ejpam-797	241	46	normalized	normalize	VERB
ejpam-797	241	47	so	so	SCONJ
ejpam-797	241	48	that	that	SCONJ
ejpam-797	241	49	11	11	NUM
ejpam-797	241	50	.	.	PUNCT
ejpam-797	242	1	.a	.a	PROPN
ejpam-797	243	1	h	h	NOUN
ejpam-797	244	1	p	p	NOUN
ejpam-797	244	2	sv	sv	INTJ
ejpam-797	244	3	h	h	PROPN
ejpam-797	244	4	s	s	PROPN
ejpam-797	244	5	h	h	NOUN
ejpam-797	245	1	v	v	NOUN
ejpam-797	245	2	i	i	PRON
ejpam-797	245	3	⊥⊥	⊥⊥	PROPN
ejpam-797	245	4	⊥	⊥	NOUN
ejpam-797	246	1	−′	−′	PROPN
ejpam-797	246	2	′	′	NUM
ejpam-797	247	1	=	=	ADJ
ejpam-797	247	2			X
ejpam-797	247	3			NOUN
ejpam-797	247	4	;	;	PUNCT
ejpam-797	247	5	and	and	CCONJ
ejpam-797	247	6	solve	solve	VERB
ejpam-797	247	7	the	the	DET
ejpam-797	247	8	eigenvalue	eigenvalue	PROPN
ejpam-797	247	9	problem	problem	NOUN
ejpam-797	247	10	(	(	PUNCT
ejpam-797	247	11	)	)	PUNCT
ejpam-797	247	12	1	1	NUM
ejpam-797	247	13	11	11	NUM
ejpam-797	247	14	.	.	PUNCT
ejpam-797	247	15	10	10	NUM
ejpam-797	247	16	.	.	PUNCT
ejpam-797	247	17	00	00	PUNCT
ejpam-797	247	18	.	.	PUNCT
ejpam-797	248	1	01	01	NUM
ejpam-797	248	2	.	.	PUNCT
ejpam-797	249	1	0a	0a	VERB
ejpam-797	249	2	a	a	DET
ejpam-797	249	3	a	a	PRON
ejpam-797	249	4	ah	ah	INTJ
ejpam-797	249	5	s	s	NOUN
ejpam-797	249	6	h	h	NOUN
ejpam-797	249	7	h	h	NOUN
ejpam-797	249	8	s	s	VERB
ejpam-797	249	9	a	a	DET
ejpam-797	249	10	a	a	DET
ejpam-797	249	11	s	s	NOUN
ejpam-797	249	12	a	a	DET
ejpam-797	249	13	a	a	DET
ejpam-797	249	14	s	s	NOUN
ejpam-797	249	15	hρ	hρ	NOUN
ejpam-797	249	16	⊥	⊥	PROPN
ejpam-797	250	1	⊥	⊥	PROPN
ejpam-797	250	2	⊥	⊥	X
ejpam-797	250	3	⊥	⊥	NOUN
ejpam-797	250	4	−	−	PROPN
ejpam-797	250	5	′	′	NUM
ejpam-797	251	1	′	′	NUM
ejpam-797	252	1	′	′	NUM
ejpam-797	253	1	′−	′−	PROPN
ejpam-797	254	1	=	=	PUNCT
ejpam-797	255	1	(	(	PUNCT
ejpam-797	255	2	27	27	NUM
ejpam-797	255	3	)	)	PUNCT
ejpam-797	255	4	for	for	ADP
ejpam-797	255	5	eigenvalues	eigenvalue	NOUN
ejpam-797	255	6	11	11	NUM
ejpam-797	255	7	0sρ	0sρ	NOUN
ejpam-797	255	8	ρ≥	ρ≥	PROPN
ejpam-797	255	9	≥	≥	NUM
ejpam-797	255	10	≥	≥	NOUN
ejpam-797	255	11	≥	≥	PROPN
ejpam-797	255	12			NOUN
ejpam-797	255	13			INTJ
ejpam-797	255	14	.	.	PUNCT
ejpam-797	256	1	then	then	ADV
ejpam-797	256	2	the	the	DET
ejpam-797	256	3	restricted	restricted	ADJ
ejpam-797	256	4	estimators	estimator	NOUN
ejpam-797	256	5	are	be	AUX
ejpam-797	256	6	(	(	PUNCT
ejpam-797	256	7	)	)	PUNCT
ejpam-797	256	8	1	1	NUM
ejpam-797	256	9	,	,	PUNCT
ejpam-797	256	10	,	,	PUNCT
ejpam-797	256	11	r	r	NOUN
ejpam-797	256	12	sv	sv	VERB
ejpam-797	256	13	vφ	vφ	VERB
ejpam-797	256	14	−=	−=	PRON
ejpam-797	256	15			ADJ
ejpam-797	256	16			NOUN
ejpam-797	256	17			PROPN
ejpam-797	256	18	(	(	PUNCT
ejpam-797	256	19	28	28	NUM
ejpam-797	256	20	)	)	PUNCT
ejpam-797	256	21	1	1	NUM
ejpam-797	256	22	2	2	NUM
ejpam-797	256	23	ˆ	ˆ	NOUN
ejpam-797	256	24	ˆ	ˆ	NOUN
ejpam-797	256	25	ˆ	ˆ	NOUN
ejpam-797	256	26	ˆ	ˆ	NOUN
ejpam-797	256	27	ˆ	ˆ	ADV
ejpam-797	256	28	,	,	PUNCT
ejpam-797	256	29	,	,	PUNCT
ejpam-797	256	30	,	,	PUNCT
ejpam-797	256	31	h	h	NOUN
ejpam-797	256	32	h	h	NOUN
ejpam-797	256	33	hβ	hβ	INTJ
ejpam-797	256	34	β	β	X
ejpam-797	256	35	β	β	X
ejpam-797	256	36	θ	θ	NOUN
ejpam-797	256	37	φ⊥	φ⊥	ADJ
ejpam-797	256	38			NOUN
ejpam-797	256	39			PROPN
ejpam-797	256	40			NOUN
ejpam-797	256	41			NOUN
ejpam-797	256	42			NOUN
ejpam-797	256	43	=	=	X
ejpam-797	256	44	=	=	PUNCT
ejpam-797	257	1	=	=	NOUN
ejpam-797	257	2			NOUN
ejpam-797	257	3			NOUN
ejpam-797	257	4			NOUN
ejpam-797	257	5			NOUN
ejpam-797	257	6			NOUN
ejpam-797	257	7			VERB
ejpam-797	257	8	(	(	PUNCT
ejpam-797	257	9	29	29	NUM
ejpam-797	257	10	)	)	SYM
ejpam-797	257	11	2	2	NUM
ejpam-797	257	12	01	01	NUM
ejpam-797	257	13	.	.	PUNCT
ejpam-797	257	14	.	.	PUNCT
ejpam-797	258	1	ˆˆ	ˆˆ	PROPN
ejpam-797	258	2	a	a	DET
ejpam-797	258	3	ha	ha	INTJ
ejpam-797	258	4	s	s	X
ejpam-797	258	5	hψ	hψ	NOUN
ejpam-797	258	6	φ	φ	PROPN
ejpam-797	258	7	⊥	⊥	PROPN
ejpam-797	258	8	⊥′=	⊥′=	PROPN
ejpam-797	258	9	(	(	PUNCT
ejpam-797	258	10	30	30	NUM
ejpam-797	258	11	)	)	PUNCT
ejpam-797	258	12	n.	n.	NOUN
ejpam-797	258	13	morin	morin	PROPN
ejpam-797	258	14	/	/	SYM
ejpam-797	258	15	eur	eur	PROPN
ejpam-797	258	16	.	.	PUNCT
ejpam-797	259	1	j.	j.	PROPN
ejpam-797	259	2	pure	pure	PROPN
ejpam-797	259	3	appl	appl	PROPN
ejpam-797	259	4	.	.	PUNCT
ejpam-797	260	1	math	math	NOUN
ejpam-797	260	2	549	549	NUM
ejpam-797	260	3	(	(	PUNCT
ejpam-797	260	4	)	)	PUNCT
ejpam-797	260	5	(	(	PUNCT
ejpam-797	260	6	)	)	PUNCT
ejpam-797	260	7	1	1	NUM
ejpam-797	260	8	1	1	NUM
ejpam-797	260	9	01	01	NUM
ejpam-797	260	10	.	.	PUNCT
ejpam-797	260	11	2	2	NUM
ejpam-797	260	12	11	11	NUM
ejpam-797	260	13	.	.	PUNCT
ejpam-797	260	14	11	11	NUM
ejpam-797	260	15	.	.	PUNCT
ejpam-797	261	1	ˆˆ	ˆˆ	PROPN
ejpam-797	261	2	ˆa	ˆa	ADP
ejpam-797	261	3	a	a	DET
ejpam-797	261	4	aa	aa	NOUN
ejpam-797	262	1	s	s	X
ejpam-797	262	2	h	h	NOUN
ejpam-797	262	3	h	h	NOUN
ejpam-797	263	1	s	s	PART
ejpam-797	264	1	h	h	NOUN
ejpam-797	265	1	h	h	NOUN
ejpam-797	265	2	s	s	PROPN
ejpam-797	265	3	hψ	hψ	NOUN
ejpam-797	265	4	ψ	ψ	X
ejpam-797	265	5	φ	φ	PROPN
ejpam-797	265	6	⊥	⊥	PROPN
ejpam-797	265	7	⊥	⊥	PROPN
ejpam-797	265	8	⊥	⊥	PROPN
ejpam-797	266	1	−	−	PROPN
ejpam-797	266	2	⊥′	⊥′	PROPN
ejpam-797	267	1	′	′	NUM
ejpam-797	267	2	′	′	NUM
ejpam-797	268	1	′=	′=	PROPN
ejpam-797	268	2	−	−	PROPN
ejpam-797	269	1	(	(	PUNCT
ejpam-797	269	2	31	31	NUM
ejpam-797	269	3	)	)	PUNCT
ejpam-797	270	1	[	[	PUNCT
ejpam-797	270	2	]	]	X
ejpam-797	270	3	(	(	PUNCT
ejpam-797	270	4	)	)	PUNCT
ejpam-797	270	5	(	(	PUNCT
ejpam-797	270	6	)	)	PUNCT
ejpam-797	270	7	(	(	PUNCT
ejpam-797	270	8	)	)	PUNCT
ejpam-797	270	9	(	(	PUNCT
ejpam-797	270	10	)	)	PUNCT
ejpam-797	270	11	11	11	NUM
ejpam-797	270	12	1	1	NUM
ejpam-797	270	13	2	2	NUM
ejpam-797	270	14	01	01	NUM
ejpam-797	270	15	.	.	NOUN
ejpam-797	270	16	1	1	NUM
ejpam-797	270	17	01	01	NUM
ejpam-797	270	18	.	.	PUNCT
ejpam-797	270	19	.	.	PUNCT
ejpam-797	271	1	2	2	NUM
ejpam-797	271	2	2	2	NUM
ejpam-797	271	3	11	11	NUM
ejpam-797	271	4	.	.	NOUN
ejpam-797	271	5	1	1	NUM
ejpam-797	271	6	1	1	NUM
ejpam-797	271	7	11	11	NUM
ejpam-797	271	8	.	.	PUNCT
ejpam-797	271	9	1	1	NUM
ejpam-797	271	10	1	1	NUM
ejpam-797	271	11	01	01	NUM
ejpam-797	271	12	.	.	PUNCT
ejpam-797	271	13	.	.	PUNCT
ejpam-797	272	1	2	2	NUM
ejpam-797	272	2	ˆ	ˆ	NOUN
ejpam-797	272	3	ˆ	ˆ	NOUN
ejpam-797	272	4	ˆ	ˆ	NOUN
ejpam-797	272	5	ˆ	ˆ	ADV
ejpam-797	272	6	ˆ	ˆ	ADP
ejpam-797	272	7	ˆˆ	ˆˆ	PROPN
ejpam-797	272	8	ˆ	ˆ	NOUN
ejpam-797	272	9	ˆ	ˆ	ADV
ejpam-797	272	10	,	,	PUNCT
ejpam-797	272	11	,	,	PUNCT
ejpam-797	272	12	...	...	PUNCT
ejpam-797	272	13	ˆ	ˆ	ADP
ejpam-797	272	14	a	a	DET
ejpam-797	272	15	a	a	DET
ejpam-797	272	16	h	h	NOUN
ejpam-797	272	17	a	a	DET
ejpam-797	272	18	a	a	DET
ejpam-797	272	19	a	a	DET
ejpam-797	272	20	h	h	NOUN
ejpam-797	272	21	a	a	DET
ejpam-797	272	22	a	a	DET
ejpam-797	272	23	a	a	DET
ejpam-797	272	24	a	a	DET
ejpam-797	272	25	a	a	DET
ejpam-797	272	26	a	a	DET
ejpam-797	272	27	s	s	NOUN
ejpam-797	272	28	s	s	X
ejpam-797	272	29	s	s	AUX
ejpam-797	272	30	s	s	X
ejpam-797	272	31	a	a	PRON
ejpam-797	272	32	a	a	PRON
ejpam-797	272	33	a	a	PRON
ejpam-797	272	34	a	a	DET
ejpam-797	272	35	s	s	NOUN
ejpam-797	272	36	α	α	PRON
ejpam-797	272	37	ψ	ψ	X
ejpam-797	272	38	ψ	ψ	X
ejpam-797	272	39	β	β	X
ejpam-797	272	40	β	β	X
ejpam-797	272	41	β	β	X
ejpam-797	272	42	β	β	X
ejpam-797	272	43	β	β	X
ejpam-797	272	44	β	β	X
ejpam-797	272	45	β	β	X
ejpam-797	272	46	⊥	⊥	PROPN
ejpam-797	272	47	⊥	⊥	PROPN
ejpam-797	272	48	⊥	⊥	PROPN
ejpam-797	272	49	⊥	⊥	X
ejpam-797	272	50	⊥	⊥	PROPN
ejpam-797	272	51	−−	−−	NOUN
ejpam-797	272	52	−	−	NOUN
ejpam-797	272	53			NOUN
ejpam-797	272	54	′	′	NOUN
ejpam-797	272	55	′	′	NUM
ejpam-797	273	1	′	′	NUM
ejpam-797	274	1	′=	′=	PROPN
ejpam-797	274	2	=	=	SYM
ejpam-797	275	1	−	−	PROPN
ejpam-797	275	2	′	′	PROPN
ejpam-797	275	3	′	′	NOUN
ejpam-797	275	4			PROPN
ejpam-797	275	5	(	(	PUNCT
ejpam-797	275	6	32	32	NUM
ejpam-797	275	7	)	)	PUNCT
ejpam-797	275	8	and	and	CCONJ
ejpam-797	275	9	the	the	DET
ejpam-797	275	10	maximized	maximized	ADJ
ejpam-797	275	11	likelihood	likelihood	NOUN
ejpam-797	275	12	function	function	NOUN
ejpam-797	275	13	,	,	PUNCT
ejpam-797	275	14	apart	apart	ADV
ejpam-797	275	15	from	from	ADP
ejpam-797	275	16	a	a	DET
ejpam-797	275	17	constant	constant	ADJ
ejpam-797	275	18	,	,	PUNCT
ejpam-797	275	19	is	be	AUX
ejpam-797	275	20	(	(	PUNCT
ejpam-797	275	21	)	)	PUNCT
ejpam-797	275	22	(	(	PUNCT
ejpam-797	275	23	)	)	PUNCT
ejpam-797	275	24	2/	2/	NUM
ejpam-797	275	25	max	max	NOUN
ejpam-797	275	26	00	00	NUM
ejpam-797	275	27	1	1	NUM
ejpam-797	275	28	1	1	NUM
ejpam-797	275	29	1	1	NUM
ejpam-797	275	30	1	1	NUM
ejpam-797	275	31	r	r	NOUN
ejpam-797	275	32	s	s	PROPN
ejpam-797	275	33	s	s	NOUN
ejpam-797	275	34	t	t	NOUN
ejpam-797	276	1	i	i	PRON
ejpam-797	276	2	i	i	PRON
ejpam-797	277	1	i	i	PRON
ejpam-797	278	1	i	i	VERB
ejpam-797	278	2	l	l	NOUN
ejpam-797	278	3	s	s	VERB
ejpam-797	278	4	λ	λ	X
ejpam-797	278	5	ρ	ρ	NOUN
ejpam-797	278	6	−	−	NOUN
ejpam-797	278	7	−	−	NOUN
ejpam-797	279	1	=	=	SYM
ejpam-797	279	2	=	=	PUNCT
ejpam-797	279	3	=	=	SYM
ejpam-797	279	4	−	−	PROPN
ejpam-797	279	5	−∏	−∏	NOUN
ejpam-797	279	6	∏	∏	NOUN
ejpam-797	279	7			NOUN
ejpam-797	279	8	.	.	PUNCT
ejpam-797	280	1	(	(	PUNCT
ejpam-797	280	2	33	33	NUM
ejpam-797	280	3	)	)	PUNCT
ejpam-797	280	4	the	the	DET
ejpam-797	280	5	proof	proof	NOUN
ejpam-797	280	6	of	of	ADP
ejpam-797	280	7	theorem	theorem	ADJ
ejpam-797	280	8	1	1	NUM
ejpam-797	280	9	is	be	AUX
ejpam-797	280	10	in	in	ADP
ejpam-797	280	11	the	the	DET
ejpam-797	280	12	appendix	appendix	NOUN
ejpam-797	280	13	.	.	PUNCT
ejpam-797	281	1	theorem	theorem	NOUN
ejpam-797	281	2	2	2	NUM
ejpam-797	281	3	.	.	PUNCT
ejpam-797	282	1	the	the	DET
ejpam-797	282	2	likelihood	likelihood	NOUN
ejpam-797	282	3	ratio	ratio	NOUN
ejpam-797	282	4	test	test	NOUN
ejpam-797	282	5	statistic	statistic	NOUN
ejpam-797	282	6	of	of	ADP
ejpam-797	282	7	the	the	DET
ejpam-797	282	8	hypothesis	hypothesis	NOUN
ejpam-797	282	9	[	[	PUNCT
ejpam-797	282	10	]	]	X
ejpam-797	282	11	0	0	NUM
ejpam-797	282	12	:	:	PUNCT
ejpam-797	282	13	,	,	PUNCT
ejpam-797	282	14	,	,	PUNCT
ejpam-797	282	15	h	h	NOUN
ejpam-797	282	16	h	h	NOUN
ejpam-797	283	1	aβ	aβ	VERB
ejpam-797	283	2	θ	θ	PROPN
ejpam-797	283	3	α	α	INTJ
ejpam-797	283	4	ψ=	ψ=	NOUN
ejpam-797	283	5	=	=	NOUN
ejpam-797	283	6	verses	verse	NOUN
ejpam-797	283	7	(	(	PUNCT
ejpam-797	283	8	)	)	PUNCT
ejpam-797	283	9	h	h	NOUN
ejpam-797	283	10	r	r	NOUN
ejpam-797	283	11	is	be	AUX
ejpam-797	283	12	expressed	express	VERB
ejpam-797	283	13	as	as	ADP
ejpam-797	283	14	:	:	PUNCT
ejpam-797	283	15	(	(	PUNCT
ejpam-797	283	16	)	)	PUNCT
ejpam-797	283	17	(	(	PUNCT
ejpam-797	283	18	)	)	PUNCT
ejpam-797	283	19	(	(	PUNCT
ejpam-797	283	20	)	)	PUNCT
ejpam-797	283	21	(	(	PUNCT
ejpam-797	283	22	)	)	PUNCT
ejpam-797	283	23	(	(	PUNCT
ejpam-797	283	24	)	)	PUNCT
ejpam-797	283	25	0	0	NUM
ejpam-797	283	26	1	1	NUM
ejpam-797	283	27	1	1	NUM
ejpam-797	283	28	1	1	NUM
ejpam-797	283	29	ˆ|	ˆ|	PROPN
ejpam-797	283	30	ln	ln	ADJ
ejpam-797	283	31	1	1	NUM
ejpam-797	283	32	ln	ln	NOUN
ejpam-797	283	33	1	1	NUM
ejpam-797	283	34	ln	ln	NOUN
ejpam-797	283	35	1	1	NUM
ejpam-797	283	36	r	r	NOUN
ejpam-797	283	37	s	s	NOUN
ejpam-797	283	38	s	s	NOUN
ejpam-797	283	39	r	r	NOUN
ejpam-797	284	1	i	i	PRON
ejpam-797	285	1	i	i	INTJ
ejpam-797	285	2	j	j	VERB
ejpam-797	286	1	i	i	PRON
ejpam-797	286	2	i	i	PRON
ejpam-797	286	3	j	j	VERB
ejpam-797	287	1	lr	lr	INTJ
ejpam-797	287	2	h	h	NOUN
ejpam-797	287	3	h	h	NOUN
ejpam-797	287	4	r	r	NOUN
ejpam-797	287	5	t	t	NOUN
ejpam-797	287	6	λ	λ	PROPN
ejpam-797	287	7	ρ	ρ	X
ejpam-797	287	8	λ	λ	NOUN
ejpam-797	287	9	−	−	NOUN
ejpam-797	288	1	=	=	SYM
ejpam-797	288	2	=	=	PUNCT
ejpam-797	288	3	=	=	PUNCT
ejpam-797	288	4			PRON
ejpam-797	288	5			NOUN
ejpam-797	288	6	=	=	PUNCT
ejpam-797	288	7	−	−	PROPN
ejpam-797	289	1	+	+	CCONJ
ejpam-797	289	2	−	−	PROPN
ejpam-797	290	1	−	−	PROPN
ejpam-797	290	2	−	−	PUNCT
ejpam-797	290	3			PROPN
ejpam-797	290	4			ADJ
ejpam-797	290	5			NOUN
ejpam-797	290	6	∑	∑	PROPN
ejpam-797	290	7	∑	∑	PROPN
ejpam-797	290	8	∑	∑	ADJ
ejpam-797	290	9			NOUN
ejpam-797	290	10	,	,	PUNCT
ejpam-797	290	11	(	(	PUNCT
ejpam-797	290	12	34	34	NUM
ejpam-797	290	13	)	)	PUNCT
ejpam-797	290	14	where	where	SCONJ
ejpam-797	290	15	{	{	PUNCT
ejpam-797	290	16	}	}	PUNCT
ejpam-797	290	17	1,î	1,î	NUM
ejpam-797	291	1	i	i	NOUN
ejpam-797	291	2	r	r	NOUN
ejpam-797	291	3	λ	λ	NOUN
ejpam-797	291	4	=	=	PRON
ejpam-797	291	5	are	be	AUX
ejpam-797	291	6	from	from	ADP
ejpam-797	291	7	the	the	DET
ejpam-797	291	8	unrestricted	unrestricted	ADJ
ejpam-797	291	9	maximized	maximized	ADJ
ejpam-797	291	10	likelihood	likelihood	NOUN
ejpam-797	291	11	in	in	ADP
ejpam-797	291	12	(	(	PUNCT
ejpam-797	291	13	15	15	NUM
ejpam-797	291	14	)	)	PUNCT
ejpam-797	291	15	,	,	PUNCT
ejpam-797	291	16	and	and	CCONJ
ejpam-797	291	17	is	be	AUX
ejpam-797	291	18	asymptotically	asymptotically	ADV
ejpam-797	291	19	distributed	distribute	VERB
ejpam-797	291	20	as	as	ADP
ejpam-797	291	21	2χ	2χ	NUM
ejpam-797	291	22	with	with	ADP
ejpam-797	291	23	r(p	r(p	PROPN
ejpam-797	291	24	-	-	PUNCT
ejpam-797	291	25	m)+s(p	m)+s(p	NOUN
ejpam-797	291	26	-	-	PUNCT
ejpam-797	291	27	r	r	NOUN
ejpam-797	291	28	)	)	PUNCT
ejpam-797	291	29	degrees	degree	NOUN
ejpam-797	291	30	of	of	ADP
ejpam-797	291	31	freedom	freedom	NOUN
ejpam-797	291	32	.	.	PUNCT
ejpam-797	292	1	the	the	DET
ejpam-797	292	2	proof	proof	NOUN
ejpam-797	292	3	of	of	ADP
ejpam-797	292	4	theorem	theorem	ADJ
ejpam-797	292	5	2	2	NUM
ejpam-797	292	6	is	be	AUX
ejpam-797	292	7	in	in	ADP
ejpam-797	292	8	the	the	DET
ejpam-797	292	9	appendix	appendix	NOUN
ejpam-797	292	10	.	.	PUNCT
ejpam-797	293	1	(	(	PUNCT
ejpam-797	293	2	7	7	NUM
ejpam-797	293	3	)	)	PUNCT
ejpam-797	293	4	[	[	PUNCT
ejpam-797	293	5	]	]	X
ejpam-797	293	6	0	0	NUM
ejpam-797	293	7	:	:	PUNCT
ejpam-797	293	8	,	,	PUNCT
ejpam-797	293	9	,	,	PUNCT
ejpam-797	293	10	h	h	NOUN
ejpam-797	293	11	h	h	NOUN
ejpam-797	294	1	aβ	aβ	VERB
ejpam-797	294	2	φ	φ	PROPN
ejpam-797	294	3	α	α	NOUN
ejpam-797	294	4	τ=	τ=	PROPN
ejpam-797	294	5	=	=	PUNCT
ejpam-797	294	6	where	where	SCONJ
ejpam-797	294	7	h	h	PROPN
ejpam-797	294	8	p×s	p×s	PROPN
ejpam-797	294	9	,	,	PUNCT
ejpam-797	294	10	a	a	DET
ejpam-797	294	11	p×m	p×m	NOUN
ejpam-797	294	12	are	be	AUX
ejpam-797	294	13	known	know	VERB
ejpam-797	294	14	;	;	PUNCT
ejpam-797	294	15	φ	φ	PROPN
ejpam-797	294	16	s×r	s×r	PROPN
ejpam-797	294	17	is	be	AUX
ejpam-797	294	18	unknown	unknown	ADJ
ejpam-797	294	19	;	;	PUNCT
ejpam-797	294	20	and	and	CCONJ
ejpam-797	294	21	τ	τ	PROPN
ejpam-797	294	22	p×(r	p×(r	PROPN
ejpam-797	294	23	-	-	PROPN
ejpam-797	294	24	m	m	PRON
ejpam-797	294	25	)	)	PUNCT
ejpam-797	294	26	is	be	AUX
ejpam-797	294	27	unknown	unknown	ADJ
ejpam-797	294	28	where	where	SCONJ
ejpam-797	294	29	aτ	aτ	ADV
ejpam-797	294	30	ψ⊥=	ψ⊥=	VERB
ejpam-797	294	31	with	with	ADP
ejpam-797	294	32	a⊥	a⊥	NOUN
ejpam-797	294	33	p×(p	p×(p	X
ejpam-797	294	34	-	-	X
ejpam-797	294	35	m	m	VERB
ejpam-797	294	36	)	)	PUNCT
ejpam-797	294	37	known	know	VERB
ejpam-797	294	38	and	and	CCONJ
ejpam-797	294	39	ψ(p	ψ(p	NOUN
ejpam-797	294	40	-	-	PUNCT
ejpam-797	294	41	m)×(r	m)×(r	NOUN
ejpam-797	294	42	-	-	PUNCT
ejpam-797	294	43	m	m	NOUN
ejpam-797	294	44	)	)	PUNCT
ejpam-797	294	45	unknown	unknown	ADJ
ejpam-797	294	46	,	,	PUNCT
ejpam-797	294	47	m≤r≤s	m≤r≤s	X
ejpam-797	294	48	<	<	X
ejpam-797	294	49	p.	p.	NOUN
ejpam-797	294	50	this	this	DET
ejpam-797	294	51	test	test	NOUN
ejpam-797	294	52	combines	combine	VERB
ejpam-797	294	53	johansen	johansen	PROPN
ejpam-797	294	54	’s	’s	PART
ejpam-797	294	55	tests	test	NOUN
ejpam-797	294	56	(	(	PUNCT
ejpam-797	294	57	1	1	NUM
ejpam-797	294	58	)	)	PUNCT
ejpam-797	294	59	and	and	CCONJ
ejpam-797	294	60	(	(	PUNCT
ejpam-797	294	61	4	4	NUM
ejpam-797	294	62	)	)	PUNCT
ejpam-797	294	63	,	,	PUNCT
ejpam-797	294	64	that	that	ADV
ejpam-797	294	65	is	is	ADV
ejpam-797	294	66	,	,	PUNCT
ejpam-797	294	67	it	it	PRON
ejpam-797	294	68	tests	test	VERB
ejpam-797	294	69	the	the	DET
ejpam-797	294	70	restriction	restriction	NOUN
ejpam-797	294	71	that	that	SCONJ
ejpam-797	294	72	the	the	DET
ejpam-797	294	73	cointegrating	cointegrate	VERB
ejpam-797	294	74	vectors	vector	NOUN
ejpam-797	294	75	share	share	VERB
ejpam-797	294	76	p	p	NOUN
ejpam-797	294	77	-	-	PUNCT
ejpam-797	294	78	s	s	NOUN
ejpam-797	294	79	linear	linear	NOUN
ejpam-797	294	80	restrictions	restriction	NOUN
ejpam-797	294	81	and	and	CCONJ
ejpam-797	294	82	m	m	PROPN
ejpam-797	294	83	of	of	ADP
ejpam-797	294	84	the	the	DET
ejpam-797	294	85	adjustment	adjustment	NOUN
ejpam-797	294	86	vectors	vector	NOUN
ejpam-797	294	87	are	be	AUX
ejpam-797	294	88	assumed	assume	VERB
ejpam-797	294	89	known	know	VERB
ejpam-797	294	90	(	(	PUNCT
ejpam-797	294	91	with	with	ADP
ejpam-797	294	92	the	the	DET
ejpam-797	294	93	remaining	remain	VERB
ejpam-797	294	94	r	r	NOUN
ejpam-797	294	95	-	-	PUNCT
ejpam-797	294	96	m	m	NOUN
ejpam-797	294	97	orthogonal	orthogonal	ADJ
ejpam-797	294	98	to	to	ADP
ejpam-797	294	99	them	they	PRON
ejpam-797	294	100	)	)	PUNCT
ejpam-797	294	101	.	.	PUNCT
ejpam-797	295	1	this	this	DET
ejpam-797	295	2	test	test	NOUN
ejpam-797	295	3	would	would	AUX
ejpam-797	295	4	be	be	AUX
ejpam-797	295	5	used	use	VERB
ejpam-797	295	6	,	,	PUNCT
ejpam-797	295	7	for	for	ADP
ejpam-797	295	8	example	example	NOUN
ejpam-797	295	9	,	,	PUNCT
ejpam-797	295	10	to	to	PART
ejpam-797	295	11	determine	determine	VERB
ejpam-797	295	12	if	if	SCONJ
ejpam-797	295	13	some	some	DET
ejpam-797	295	14	variable	variable	NOUN
ejpam-797	295	15	in	in	ADP
ejpam-797	295	16	the	the	DET
ejpam-797	295	17	system	system	NOUN
ejpam-797	295	18	did	do	AUX
ejpam-797	295	19	not	not	PART
ejpam-797	295	20	enter	enter	VERB
ejpam-797	295	21	any	any	PRON
ejpam-797	295	22	of	of	ADP
ejpam-797	295	23	the	the	DET
ejpam-797	295	24	cointegrating	cointegrate	VERB
ejpam-797	295	25	relationships	relationship	NOUN
ejpam-797	295	26	or	or	CCONJ
ejpam-797	295	27	if	if	SCONJ
ejpam-797	295	28	two	two	NUM
ejpam-797	295	29	variables	variable	NOUN
ejpam-797	295	30	entered	enter	VERB
ejpam-797	295	31	the	the	DET
ejpam-797	295	32	cointegrating	cointegrate	VERB
ejpam-797	295	33	relationships	relationship	NOUN
ejpam-797	295	34	as	as	ADP
ejpam-797	295	35	the	the	DET
ejpam-797	295	36	spread	spread	NOUN
ejpam-797	295	37	between	between	ADP
ejpam-797	295	38	them	they	PRON
ejpam-797	295	39	,	,	PUNCT
ejpam-797	295	40	and	and	CCONJ
ejpam-797	295	41	to	to	PART
ejpam-797	295	42	test	test	VERB
ejpam-797	295	43	simultaneously	simultaneously	ADV
ejpam-797	295	44	that	that	SCONJ
ejpam-797	295	45	some	some	PRON
ejpam-797	295	46	of	of	ADP
ejpam-797	295	47	the	the	DET
ejpam-797	295	48	cointegrating	cointegrate	VERB
ejpam-797	295	49	vectors	vector	NOUN
ejpam-797	295	50	only	only	ADV
ejpam-797	295	51	appear	appear	VERB
ejpam-797	295	52	in	in	ADP
ejpam-797	295	53	the	the	DET
ejpam-797	295	54	equation	equation	NOUN
ejpam-797	295	55	for	for	ADP
ejpam-797	295	56	one	one	NUM
ejpam-797	295	57	of	of	ADP
ejpam-797	295	58	the	the	DET
ejpam-797	295	59	variables	variable	NOUN
ejpam-797	295	60	.	.	PUNCT
ejpam-797	296	1	the	the	DET
ejpam-797	296	2	first	first	ADJ
ejpam-797	296	3	step	step	NOUN
ejpam-797	296	4	in	in	ADP
ejpam-797	296	5	calculating	calculate	VERB
ejpam-797	296	6	the	the	DET
ejpam-797	296	7	test	test	NOUN
ejpam-797	296	8	statistic	statistic	NOUN
ejpam-797	296	9	and	and	CCONJ
ejpam-797	296	10	restricted	restrict	VERB
ejpam-797	296	11	coefficient	coefficient	NOUN
ejpam-797	296	12	estimates	estimate	NOUN
ejpam-797	296	13	is	be	AUX
ejpam-797	296	14	to	to	PART
ejpam-797	296	15	split	split	VERB
ejpam-797	296	16	the	the	DET
ejpam-797	296	17	reduced	reduce	VERB
ejpam-797	296	18	rank	rank	NOUN
ejpam-797	296	19	regression	regression	NOUN
ejpam-797	296	20	into	into	ADP
ejpam-797	296	21	variation	variation	NOUN
ejpam-797	296	22	independent	independent	ADJ
ejpam-797	296	23	parts	part	NOUN
ejpam-797	296	24	0	0	NUM
ejpam-797	296	25	1	1	NUM
ejpam-797	296	26	1	1	NUM
ejpam-797	296	27	0	0	NUM
ejpam-797	296	28	2	2	NUM
ejpam-797	296	29	1	1	NUM
ejpam-797	296	30	t	t	NOUN
ejpam-797	296	31	t	t	NOUN
ejpam-797	296	32	t	t	PROPN
ejpam-797	296	33	t	t	PROPN
ejpam-797	296	34	t	t	PROPN
ejpam-797	296	35	t	t	PROPN
ejpam-797	296	36	a	a	DET
ejpam-797	296	37	r	r	NOUN
ejpam-797	296	38	h	h	NOUN
ejpam-797	296	39	r	r	NOUN
ejpam-797	296	40	a	a	PRON
ejpam-797	296	41	a	a	DET
ejpam-797	296	42	r	r	NOUN
ejpam-797	296	43	h	h	NOUN
ejpam-797	296	44	r	r	NOUN
ejpam-797	296	45	a	a	DET
ejpam-797	296	46	ϕ	ϕ	NOUN
ejpam-797	296	47	ε	ε	PROPN
ejpam-797	296	48	ψϕ	ψϕ	NOUN
ejpam-797	296	49	ε⊥	ε⊥	PROPN
ejpam-797	296	50	⊥	⊥	PROPN
ejpam-797	297	1	′	′	NUM
ejpam-797	297	2	′	′	NUM
ejpam-797	298	1	′	′	NUM
ejpam-797	298	2	′=	′=	PROPN
ejpam-797	299	1	+	+	CCONJ
ejpam-797	300	1	′	′	NUM
ejpam-797	300	2	′	′	NUM
ejpam-797	300	3	′	′	NUM
ejpam-797	301	1	′=	′=	PROPN
ejpam-797	301	2	+	+	CCONJ
ejpam-797	301	3	,	,	PUNCT
ejpam-797	301	4	(	(	PUNCT
ejpam-797	301	5	35	35	NUM
ejpam-797	301	6	)	)	PUNCT
ejpam-797	301	7	where	where	SCONJ
ejpam-797	301	8	φ	φ	PROPN
ejpam-797	301	9	is	be	AUX
ejpam-797	301	10	partitioned	partition	VERB
ejpam-797	301	11	conformably	conformably	ADV
ejpam-797	301	12	with	with	ADP
ejpam-797	301	13	α	α	NOUN
ejpam-797	301	14	as	as	ADP
ejpam-797	301	15	[	[	PUNCT
ejpam-797	301	16	]	]	X
ejpam-797	301	17	1	1	NUM
ejpam-797	301	18	2,φ	2,φ	NUM
ejpam-797	301	19	φ	φ	NOUN
ejpam-797	301	20	.	.	PUNCT
ejpam-797	302	1	in	in	ADP
ejpam-797	302	2	order	order	NOUN
ejpam-797	302	3	to	to	PART
ejpam-797	302	4	derive	derive	VERB
ejpam-797	302	5	the	the	DET
ejpam-797	302	6	test	test	NOUN
ejpam-797	302	7	statistics	statistic	NOUN
ejpam-797	302	8	and	and	CCONJ
ejpam-797	302	9	to	to	PART
ejpam-797	302	10	estimate	estimate	VERB
ejpam-797	302	11	the	the	DET
ejpam-797	302	12	restricted	restricted	ADJ
ejpam-797	302	13	parameters	parameter	NOUN
ejpam-797	302	14	under	under	ADP
ejpam-797	302	15	this	this	DET
ejpam-797	302	16	hypothesis	hypothesis	NOUN
ejpam-797	302	17	it	it	PRON
ejpam-797	302	18	is	be	AUX
ejpam-797	302	19	again	again	ADV
ejpam-797	302	20	necessary	necessary	ADJ
ejpam-797	302	21	to	to	PART
ejpam-797	302	22	define	define	VERB
ejpam-797	302	23	a	a	DET
ejpam-797	302	24	new	new	ADJ
ejpam-797	302	25	set	set	NOUN
ejpam-797	302	26	of	of	ADP
ejpam-797	302	27	residual	residual	ADJ
ejpam-797	302	28	vectors	vector	NOUN
ejpam-797	302	29	and	and	CCONJ
ejpam-797	302	30	transform	transform	VERB
ejpam-797	302	31	the	the	DET
ejpam-797	302	32	product	product	NOUN
ejpam-797	302	33	moment	moment	NOUN
ejpam-797	302	34	matrices	matrix	NOUN
ejpam-797	302	35	,	,	PUNCT
ejpam-797	302	36	ijs	ijs	PROPN
ejpam-797	302	37	.	.	PUNCT
ejpam-797	303	1	fixing	fix	VERB
ejpam-797	303	2	2φ	2φ	NUM
ejpam-797	303	3	and	and	CCONJ
ejpam-797	303	4	φ	φ	NUM
ejpam-797	303	5	,	,	PUNCT
ejpam-797	303	6	define	define	VERB
ejpam-797	303	7	the	the	DET
ejpam-797	303	8	residual	residual	ADJ
ejpam-797	303	9	vector	vector	NOUN
ejpam-797	303	10	0	0	NUM
ejpam-797	303	11	2	2	NUM
ejpam-797	303	12	1kt	1kt	NOUN
ejpam-797	303	13	t	t	NOUN
ejpam-797	303	14	tr	tr	NOUN
ejpam-797	303	15	a	a	DET
ejpam-797	303	16	r	r	NOUN
ejpam-797	303	17	h	h	NOUN
ejpam-797	304	1	rψφ⊥′	rψφ⊥′	PROPN
ejpam-797	304	2	′	′	NOUN
ejpam-797	304	3	′=	′=	PROPN
ejpam-797	304	4	−	−	PROPN
ejpam-797	304	5	.	.	PUNCT
ejpam-797	305	1	(	(	PUNCT
ejpam-797	305	2	36	36	NUM
ejpam-797	305	3	)	)	PUNCT
ejpam-797	305	4	n.	n.	NOUN
ejpam-797	305	5	morin	morin	PROPN
ejpam-797	305	6	/	/	SYM
ejpam-797	305	7	eur	eur	PROPN
ejpam-797	305	8	.	.	PUNCT
ejpam-797	306	1	j.	j.	PROPN
ejpam-797	306	2	pure	pure	PROPN
ejpam-797	306	3	appl	appl	PROPN
ejpam-797	306	4	.	.	PUNCT
ejpam-797	307	1	math	math	NOUN
ejpam-797	307	2	550	550	NUM
ejpam-797	307	3	one	one	NOUN
ejpam-797	307	4	can	can	AUX
ejpam-797	307	5	then	then	ADV
ejpam-797	307	6	define	define	VERB
ejpam-797	307	7	the	the	DET
ejpam-797	307	8	notation	notation	NOUN
ejpam-797	307	9	1	1	NUM
ejpam-797	307	10	1	1	NUM
ejpam-797	307	11	1	1	NUM
ejpam-797	307	12	1	1	NUM
ejpam-797	307	13	t	t	NOUN
ejpam-797	307	14	k	k	PROPN
ejpam-797	307	15	t	t	PROPN
ejpam-797	307	16	kt	kt	PROPN
ejpam-797	308	1	t	t	PROPN
ejpam-797	308	2	s	s	PART
ejpam-797	308	3	r	r	NOUN
ejpam-797	308	4	r	r	NOUN
ejpam-797	308	5	t	t	NOUN
ejpam-797	308	6	=	=	PUNCT
ejpam-797	308	7	′=	′=	PROPN
ejpam-797	308	8	∑	∑	PUNCT
ejpam-797	308	9	and	and	CCONJ
ejpam-797	308	10	so	so	ADV
ejpam-797	308	11	on	on	ADV
ejpam-797	308	12	,	,	PUNCT
ejpam-797	308	13	and	and	CCONJ
ejpam-797	308	14	define	define	VERB
ejpam-797	308	15	the	the	DET
ejpam-797	308	16	set	set	NOUN
ejpam-797	308	17	of	of	ADP
ejpam-797	308	18	product	product	NOUN
ejpam-797	308	19	moment	moment	NOUN
ejpam-797	308	20	matrices	matrix	NOUN
ejpam-797	308	21	:	:	PUNCT
ejpam-797	308	22	1	1	NUM
ejpam-797	308	23	.	.	PUNCT
ejpam-797	308	24	,	,	PUNCT
ejpam-797	308	25	,	,	PUNCT
ejpam-797	308	26	0,1ij	0,1ij	NUM
ejpam-797	308	27	k	k	PROPN
ejpam-797	309	1	ij	ij	INTJ
ejpam-797	309	2	ik	ik	PROPN
ejpam-797	309	3	kk	kk	PROPN
ejpam-797	309	4	kjs	kjs	PROPN
ejpam-797	309	5	s	s	PROPN
ejpam-797	309	6	s	s	NOUN
ejpam-797	309	7	s	s	X
ejpam-797	309	8	s	s	X
ejpam-797	309	9	i	i	NOUN
ejpam-797	309	10	j−=	j−=	PROPN
ejpam-797	309	11	−	−	PROPN
ejpam-797	310	1	=	=	PUNCT
ejpam-797	310	2	.	.	PUNCT
ejpam-797	311	1	(	(	PUNCT
ejpam-797	311	2	37	37	NUM
ejpam-797	311	3	)	)	PUNCT
ejpam-797	311	4	the	the	DET
ejpam-797	311	5	restricted	restrict	VERB
ejpam-797	311	6	estimators	estimator	NOUN
ejpam-797	311	7	and	and	CCONJ
ejpam-797	311	8	the	the	DET
ejpam-797	311	9	likelihood	likelihood	NOUN
ejpam-797	311	10	ratio	ratio	NOUN
ejpam-797	311	11	test	test	NOUN
ejpam-797	311	12	statistic	statistic	NOUN
ejpam-797	311	13	and	and	CCONJ
ejpam-797	311	14	its	its	PRON
ejpam-797	311	15	asymptotic	asymptotic	ADJ
ejpam-797	311	16	distribution	distribution	NOUN
ejpam-797	311	17	are	be	AUX
ejpam-797	311	18	summarized	summarize	VERB
ejpam-797	311	19	in	in	ADP
ejpam-797	311	20	the	the	DET
ejpam-797	311	21	following	follow	VERB
ejpam-797	311	22	theorems	theorem	NOUN
ejpam-797	311	23	.	.	PUNCT
ejpam-797	312	1	theorem	theorem	NOUN
ejpam-797	312	2	3	3	NUM
ejpam-797	312	3	.	.	PUNCT
ejpam-797	313	1	under	under	ADP
ejpam-797	313	2	the	the	DET
ejpam-797	313	3	hypothesis	hypothesis	NOUN
ejpam-797	313	4	[	[	PUNCT
ejpam-797	313	5	]	]	X
ejpam-797	313	6	0	0	NUM
ejpam-797	313	7	:	:	PUNCT
ejpam-797	313	8	,	,	PUNCT
ejpam-797	313	9	,	,	PUNCT
ejpam-797	313	10	h	h	NOUN
ejpam-797	313	11	h	h	NOUN
ejpam-797	314	1	aβ	aβ	VERB
ejpam-797	314	2	φ	φ	PROPN
ejpam-797	314	3	α	α	NOUN
ejpam-797	314	4	τ=	τ=	PROPN
ejpam-797	314	5	=	=	PUNCT
ejpam-797	314	6	where	where	SCONJ
ejpam-797	314	7	h	h	PROPN
ejpam-797	314	8	p×s	p×s	PROPN
ejpam-797	314	9	,	,	PUNCT
ejpam-797	314	10	a	a	DET
ejpam-797	314	11	p×m	p×m	NOUN
ejpam-797	314	12	are	be	AUX
ejpam-797	314	13	known	know	VERB
ejpam-797	314	14	;	;	PUNCT
ejpam-797	314	15	φ	φ	PROPN
ejpam-797	314	16	s×r	s×r	PROPN
ejpam-797	314	17	is	be	AUX
ejpam-797	314	18	unknown	unknown	ADJ
ejpam-797	314	19	;	;	PUNCT
ejpam-797	314	20	and	and	CCONJ
ejpam-797	314	21	τ	τ	PROPN
ejpam-797	314	22	p×(r	p×(r	PROPN
ejpam-797	314	23	-	-	PROPN
ejpam-797	314	24	m	m	PRON
ejpam-797	314	25	)	)	PUNCT
ejpam-797	314	26	is	be	AUX
ejpam-797	314	27	unknown	unknown	ADJ
ejpam-797	314	28	where	where	SCONJ
ejpam-797	314	29	aτ	aτ	ADV
ejpam-797	314	30	ψ⊥=	ψ⊥=	VERB
ejpam-797	314	31	with	with	ADP
ejpam-797	314	32	a⊥	a⊥	NOUN
ejpam-797	314	33	p×(p	p×(p	X
ejpam-797	314	34	-	-	X
ejpam-797	314	35	m	m	VERB
ejpam-797	314	36	)	)	PUNCT
ejpam-797	314	37	known	know	VERB
ejpam-797	314	38	and	and	CCONJ
ejpam-797	314	39	ψ	ψ	X
ejpam-797	314	40	(	(	PUNCT
ejpam-797	314	41	p	p	X
ejpam-797	314	42	-	-	PUNCT
ejpam-797	314	43	m)×(r	m)×(r	NOUN
ejpam-797	314	44	-	-	PUNCT
ejpam-797	314	45	m	m	NOUN
ejpam-797	314	46	)	)	PUNCT
ejpam-797	314	47	unknown	unknown	ADJ
ejpam-797	314	48	,	,	PUNCT
ejpam-797	315	1	m≤r≤s	m≤r≤s	X
ejpam-797	315	2	<	<	X
ejpam-797	315	3	p	p	X
ejpam-797	315	4	;	;	PUNCT
ejpam-797	315	5	the	the	DET
ejpam-797	315	6	maximum	maximum	ADJ
ejpam-797	315	7	likelihood	likelihood	NOUN
ejpam-797	315	8	estimators	estimator	NOUN
ejpam-797	315	9	are	be	AUX
ejpam-797	315	10	found	find	VERB
ejpam-797	315	11	by	by	ADP
ejpam-797	315	12	the	the	DET
ejpam-797	315	13	following	follow	VERB
ejpam-797	315	14	steps	step	NOUN
ejpam-797	315	15	:	:	PUNCT
ejpam-797	315	16	solve	solve	VERB
ejpam-797	315	17	the	the	DET
ejpam-797	315	18	eigenvalue	eigenvalue	PROPN
ejpam-797	315	19	problem	problem	NOUN
ejpam-797	315	20	(	(	PUNCT
ejpam-797	315	21	)	)	PUNCT
ejpam-797	316	1	1	1	NUM
ejpam-797	316	2	11	11	NUM
ejpam-797	316	3	10	10	NUM
ejpam-797	316	4	00	00	NUM
ejpam-797	316	5	01	01	NUM
ejpam-797	316	6	0h	0h	PROPN
ejpam-797	316	7	s	s	PROPN
ejpam-797	316	8	h	h	NOUN
ejpam-797	316	9	h	h	NOUN
ejpam-797	316	10	s	s	VERB
ejpam-797	316	11	a	a	PRON
ejpam-797	316	12	a	a	DET
ejpam-797	316	13	s	s	NOUN
ejpam-797	316	14	a	a	DET
ejpam-797	316	15	a	a	DET
ejpam-797	316	16	s	s	NOUN
ejpam-797	316	17	hλ	hλ	NOUN
ejpam-797	316	18	−	−	PROPN
ejpam-797	316	19	⊥	⊥	PROPN
ejpam-797	316	20	⊥	⊥	PROPN
ejpam-797	316	21	⊥	⊥	X
ejpam-797	316	22	⊥′	⊥′	PROPN
ejpam-797	316	23	′	′	NUM
ejpam-797	316	24	′	′	NUM
ejpam-797	317	1	′−	′−	PROPN
ejpam-797	317	2	=	=	PUNCT
ejpam-797	317	3	(	(	PUNCT
ejpam-797	317	4	38	38	NUM
ejpam-797	317	5	)	)	PUNCT
ejpam-797	317	6	for	for	ADP
ejpam-797	317	7	eigenvalues	eigenvalue	NOUN
ejpam-797	317	8	11	11	NUM
ejpam-797	317	9	0sλ	0sλ	NOUN
ejpam-797	317	10	λ≥	λ≥	ADP
ejpam-797	317	11	≥	≥	NUM
ejpam-797	317	12	≥	≥	NOUN
ejpam-797	317	13	≥	≥	PROPN
ejpam-797	317	14			NOUN
ejpam-797	318	1			NUM
ejpam-797	318	2	and	and	CCONJ
ejpam-797	318	3	corresponding	corresponding	ADJ
ejpam-797	318	4	eigenvectors	eigenvector	NOUN
ejpam-797	318	5	(	(	PUNCT
ejpam-797	318	6	)	)	PUNCT
ejpam-797	318	7	1	1	NUM
ejpam-797	318	8	,	,	PUNCT
ejpam-797	318	9	,	,	PUNCT
ejpam-797	318	10	sv	sv	PROPN
ejpam-797	318	11	v	v	PROPN
ejpam-797	318	12	v=	v=	PROPN
ejpam-797	318	13			X
ejpam-797	318	14			X
ejpam-797	318	15			PROPN
ejpam-797	318	16	,	,	PUNCT
ejpam-797	318	17	normalized	normalize	VERB
ejpam-797	318	18	so	so	SCONJ
ejpam-797	318	19	that	that	SCONJ
ejpam-797	318	20	11	11	NUM
ejpam-797	318	21	sv	sv	INTJ
ejpam-797	318	22	h	h	PROPN
ejpam-797	318	23	s	s	PROPN
ejpam-797	318	24	hv	hv	PROPN
ejpam-797	318	25	i′	i′	NOUN
ejpam-797	318	26	′	′	NOUN
ejpam-797	319	1	=	=	ADJ
ejpam-797	319	2			X
ejpam-797	319	3			NOUN
ejpam-797	319	4	;	;	PUNCT
ejpam-797	319	5	and	and	CCONJ
ejpam-797	319	6	solve	solve	VERB
ejpam-797	319	7	the	the	DET
ejpam-797	319	8	eigenvalue	eigenvalue	PROPN
ejpam-797	319	9	problem	problem	NOUN
ejpam-797	319	10	(	(	PUNCT
ejpam-797	319	11	)	)	PUNCT
ejpam-797	319	12	1	1	NUM
ejpam-797	319	13	11	11	NUM
ejpam-797	319	14	.	.	PUNCT
ejpam-797	319	15	10	10	NUM
ejpam-797	319	16	.	.	PUNCT
ejpam-797	319	17	00	00	PUNCT
ejpam-797	319	18	.	.	PUNCT
ejpam-797	320	1	01	01	NUM
ejpam-797	320	2	.	.	PUNCT
ejpam-797	320	3	0k	0k	NOUN
ejpam-797	321	1	k	k	PROPN
ejpam-797	322	1	k	k	PROPN
ejpam-797	322	2	kh	kh	PROPN
ejpam-797	322	3	s	s	PROPN
ejpam-797	323	1	h	h	NOUN
ejpam-797	323	2	h	h	NOUN
ejpam-797	323	3	s	s	VERB
ejpam-797	323	4	a	a	PRON
ejpam-797	323	5	a	a	DET
ejpam-797	323	6	s	s	NOUN
ejpam-797	323	7	a	a	DET
ejpam-797	323	8	a	a	DET
ejpam-797	323	9	sρ	sρ	ADP
ejpam-797	323	10	−′	−′	NOUN
ejpam-797	323	11	′	′	NUM
ejpam-797	323	12	′	′	NUM
ejpam-797	324	1	′−	′−	PROPN
ejpam-797	324	2	=	=	PUNCT
ejpam-797	324	3	(	(	PUNCT
ejpam-797	324	4	39	39	NUM
ejpam-797	324	5	)	)	PUNCT
ejpam-797	324	6	for	for	ADP
ejpam-797	324	7	eigenvalues	eigenvalue	NOUN
ejpam-797	324	8	1	1	NUM
ejpam-797	324	9	11	11	NUM
ejpam-797	324	10	0	0	NUM
ejpam-797	324	11	m	m	VERB
ejpam-797	324	12	m	m	VERB
ejpam-797	324	13	sρ	sρ	ADP
ejpam-797	324	14	ρ	ρ	PROPN
ejpam-797	324	15	ρ	ρ	PROPN
ejpam-797	324	16	ρ+≥	ρ+≥	PROPN
ejpam-797	324	17	≥	≥	NUM
ejpam-797	324	18	≥	≥	X
ejpam-797	324	19	>	>	X
ejpam-797	324	20	=	=	PUNCT
ejpam-797	325	1	=	=	PUNCT
ejpam-797	325	2	=	=	ADJ
ejpam-797	325	3			X
ejpam-797	325	4			X
ejpam-797	325	5			PROPN
ejpam-797	325	6			X
ejpam-797	326	1			NUM
ejpam-797	326	2			INTJ
ejpam-797	326	3	.	.	PUNCT
ejpam-797	327	1	then	then	ADV
ejpam-797	327	2	the	the	DET
ejpam-797	327	3	restricted	restricted	ADJ
ejpam-797	327	4	estimators	estimator	NOUN
ejpam-797	327	5	are	be	AUX
ejpam-797	327	6	(	(	PUNCT
ejpam-797	327	7	)	)	SYM
ejpam-797	327	8	2	2	NUM
ejpam-797	327	9	1	1	NUM
ejpam-797	327	10	ˆ	ˆ	NOUN
ejpam-797	327	11	,	,	PUNCT
ejpam-797	327	12	,	,	PUNCT
ejpam-797	327	13	r	r	NOUN
ejpam-797	327	14	mv	mv	PROPN
ejpam-797	327	15	vφ	vφ	PROPN
ejpam-797	327	16	−=	−=	X
ejpam-797	327	17			X
ejpam-797	327	18			X
ejpam-797	327	19			PROPN
ejpam-797	327	20	(	(	PUNCT
ejpam-797	327	21	40	40	NUM
ejpam-797	327	22	)	)	SYM
ejpam-797	327	23	2	2	NUM
ejpam-797	327	24	2	2	NUM
ejpam-797	327	25	ˆ	ˆ	NOUN
ejpam-797	327	26	ˆhβ	ˆhβ	NOUN
ejpam-797	327	27	φ=	φ=	NOUN
ejpam-797	327	28	(	(	PUNCT
ejpam-797	327	29	41	41	NUM
ejpam-797	327	30	)	)	PUNCT
ejpam-797	327	31	01	01	NUM
ejpam-797	327	32	2̂ˆ	2̂ˆ	NUM
ejpam-797	327	33	a	a	DET
ejpam-797	327	34	s	s	X
ejpam-797	327	35	hψ	hψ	X
ejpam-797	327	36	φ⊥′=	φ⊥′=	NOUN
ejpam-797	327	37	(	(	PUNCT
ejpam-797	327	38	42	42	NUM
ejpam-797	327	39	)	)	PUNCT
ejpam-797	327	40	(	(	PUNCT
ejpam-797	327	41	)	)	PUNCT
ejpam-797	327	42	1	1	NUM
ejpam-797	327	43	1	1	NUM
ejpam-797	327	44	11	11	NUM
ejpam-797	327	45	.	.	PUNCT
ejpam-797	328	1	10	10	NUM
ejpam-797	328	2	.	.	PUNCT
ejpam-797	329	1	ˆ	ˆ	X
ejpam-797	330	1	k	k	PROPN
ejpam-797	330	2	kh	kh	PROPN
ejpam-797	330	3	s	s	PROPN
ejpam-797	330	4	h	h	NOUN
ejpam-797	330	5	h	h	NOUN
ejpam-797	330	6	s	s	NOUN
ejpam-797	330	7	aφ	aφ	ADP
ejpam-797	330	8	−′	−′	PROPN
ejpam-797	330	9	′=	′=	PROPN
ejpam-797	330	10	(	(	PUNCT
ejpam-797	330	11	43	43	NUM
ejpam-797	330	12	)	)	PUNCT
ejpam-797	330	13	(	(	PUNCT
ejpam-797	330	14	)	)	PUNCT
ejpam-797	330	15	1	1	NUM
ejpam-797	330	16	1	1	NUM
ejpam-797	330	17	2	2	NUM
ejpam-797	330	18	11	11	NUM
ejpam-797	330	19	.	.	PUNCT
ejpam-797	331	1	10	10	NUM
ejpam-797	331	2	.	.	NOUN
ejpam-797	331	3	2	2	NUM
ejpam-797	331	4	ˆ	ˆ	NOUN
ejpam-797	331	5	ˆ	ˆ	NOUN
ejpam-797	331	6	ˆ	ˆ	NOUN
ejpam-797	331	7	ˆ	ˆ	ADV
ejpam-797	331	8	,	,	PUNCT
ejpam-797	331	9	,	,	PUNCT
ejpam-797	331	10	k	k	PROPN
ejpam-797	331	11	kh	kh	PROPN
ejpam-797	331	12	h	h	PROPN
ejpam-797	331	13	s	s	AUX
ejpam-797	331	14	h	h	NOUN
ejpam-797	331	15	h	h	NOUN
ejpam-797	331	16	s	s	VERB
ejpam-797	331	17	a	a	PRON
ejpam-797	331	18	hβ	hβ	NOUN
ejpam-797	331	19	β	β	X
ejpam-797	331	20	β	β	X
ejpam-797	331	21	φ−	φ−	PROPN
ejpam-797	332	1			PROPN
ejpam-797	332	2			PROPN
ejpam-797	332	3	′	′	NUM
ejpam-797	332	4	′=	′=	NOUN
ejpam-797	332	5	=	=	NOUN
ejpam-797	332	6			SYM
ejpam-797	332	7			NOUN
ejpam-797	332	8			NOUN
ejpam-797	332	9			VERB
ejpam-797	332	10	(	(	PUNCT
ejpam-797	332	11	44	44	NUM
ejpam-797	332	12	)	)	PUNCT
ejpam-797	332	13	[	[	PUNCT
ejpam-797	332	14	]	]	X
ejpam-797	332	15	(	(	PUNCT
ejpam-797	332	16	)	)	PUNCT
ejpam-797	332	17	1	1	NUM
ejpam-797	332	18	01	01	NUM
ejpam-797	332	19	2	2	NUM
ejpam-797	332	20	ˆˆ	ˆˆ	PROPN
ejpam-797	332	21	ˆˆ	ˆˆ	PROPN
ejpam-797	332	22	,	,	PUNCT
ejpam-797	332	23	,	,	PUNCT
ejpam-797	332	24	,	,	PUNCT
ejpam-797	332	25	a	a	DET
ejpam-797	332	26	a	a	DET
ejpam-797	332	27	a	a	DET
ejpam-797	332	28	a	a	DET
ejpam-797	332	29	a	a	DET
ejpam-797	332	30	a	a	DET
ejpam-797	332	31	a	a	NOUN
ejpam-797	332	32	a	a	DET
ejpam-797	332	33	sα	sα	NOUN
ejpam-797	332	34	τ	τ	X
ejpam-797	332	35	ψ	ψ	X
ejpam-797	332	36	β−	β−	PROPN
ejpam-797	332	37	⊥	⊥	X
ejpam-797	333	1	⊥	⊥	NOUN
ejpam-797	333	2	⊥	⊥	X
ejpam-797	333	3	⊥	⊥	X
ejpam-797	333	4	⊥	⊥	PROPN
ejpam-797	333	5			NOUN
ejpam-797	333	6	′	′	PROPN
ejpam-797	333	7	′	′	PROPN
ejpam-797	333	8	=	=	PUNCT
ejpam-797	333	9	=	=	PUNCT
ejpam-797	334	1	=	=	NOUN
ejpam-797	334	2			NOUN
ejpam-797	334	3			NOUN
ejpam-797	334	4			NOUN
ejpam-797	334	5			PROPN
ejpam-797	334	6	,	,	PUNCT
ejpam-797	334	7	(	(	PUNCT
ejpam-797	334	8	45	45	NUM
ejpam-797	334	9	)	)	PUNCT
ejpam-797	334	10	where	where	SCONJ
ejpam-797	334	11	1	1	X
ejpam-797	334	12	.	.	PUNCT
ejpam-797	334	13	,	,	PUNCT
ejpam-797	334	14	,	,	PUNCT
ejpam-797	334	15	0,1ij	0,1ij	NUM
ejpam-797	335	1	k	k	PROPN
ejpam-797	335	2	ij	ij	INTJ
ejpam-797	335	3	ik	ik	PROPN
ejpam-797	335	4	kk	kk	PROPN
ejpam-797	335	5	kjs	kjs	PROPN
ejpam-797	335	6	s	s	PROPN
ejpam-797	335	7	s	s	NOUN
ejpam-797	335	8	s	s	X
ejpam-797	335	9	s	s	X
ejpam-797	335	10	i	i	NOUN
ejpam-797	335	11	j−=	j−=	PROPN
ejpam-797	335	12	−	−	PROPN
ejpam-797	336	1	=	=	PRON
ejpam-797	336	2	is	be	AUX
ejpam-797	336	3	calculated	calculate	VERB
ejpam-797	336	4	from	from	ADP
ejpam-797	336	5	(	(	PUNCT
ejpam-797	336	6	37	37	NUM
ejpam-797	336	7	)	)	PUNCT
ejpam-797	336	8	evaluated	evaluate	VERB
ejpam-797	336	9	at	at	ADP
ejpam-797	336	10	2̂	2̂	NUM
ejpam-797	336	11	ˆ,φ	ˆ,φ	ADP
ejpam-797	336	12	ψ	ψ	NOUN
ejpam-797	336	13	.	.	PUNCT
ejpam-797	337	1	the	the	DET
ejpam-797	337	2	maximized	maximized	ADJ
ejpam-797	337	3	likelihood	likelihood	NOUN
ejpam-797	337	4	function	function	NOUN
ejpam-797	337	5	,	,	PUNCT
ejpam-797	337	6	apart	apart	ADV
ejpam-797	337	7	from	from	ADP
ejpam-797	337	8	a	a	DET
ejpam-797	337	9	constant	constant	ADJ
ejpam-797	337	10	,	,	PUNCT
ejpam-797	337	11	is	be	AUX
ejpam-797	337	12	(	(	PUNCT
ejpam-797	337	13	)	)	PUNCT
ejpam-797	337	14	(	(	PUNCT
ejpam-797	337	15	)	)	PUNCT
ejpam-797	337	16	00	00	PUNCT
ejpam-797	337	17	.	.	PUNCT
ejpam-797	338	1	002	002	NUM
ejpam-797	338	2	max	max	PROPN
ejpam-797	338	3	1	1	NUM
ejpam-797	338	4	1	1	NUM
ejpam-797	338	5	1	1	NUM
ejpam-797	338	6	1	1	NUM
ejpam-797	338	7	r	r	NOUN
ejpam-797	338	8	m	m	NOUN
ejpam-797	338	9	m	m	VERB
ejpam-797	338	10	kt	kt	INTJ
ejpam-797	338	11	i	i	PRON
ejpam-797	339	1	i	i	PRON
ejpam-797	340	1	i	i	PRON
ejpam-797	341	1	i	i	PRON
ejpam-797	342	1	a	a	PRON
ejpam-797	342	2	s	s	X
ejpam-797	342	3	a	a	DET
ejpam-797	342	4	a	a	DET
ejpam-797	342	5	s	s	NOUN
ejpam-797	342	6	a	a	DET
ejpam-797	342	7	l	l	NOUN
ejpam-797	342	8	a	a	DET
ejpam-797	342	9	a	a	DET
ejpam-797	342	10	a	a	DET
ejpam-797	342	11	a	a	DET
ejpam-797	342	12	λ	λ	NOUN
ejpam-797	342	13	ρ	ρ	NOUN
ejpam-797	342	14	−	−	PROPN
ejpam-797	342	15	⊥	⊥	NOUN
ejpam-797	342	16	⊥−	⊥−	NOUN
ejpam-797	343	1	=	=	PUNCT
ejpam-797	344	1	=	=	NOUN
ejpam-797	344	2	⊥	⊥	NOUN
ejpam-797	344	3	⊥	⊥	NUM
ejpam-797	344	4	′	′	NUM
ejpam-797	345	1	′	′	NUM
ejpam-797	346	1	=	=	PUNCT
ejpam-797	347	1	−	−	NOUN
ejpam-797	347	2	−	−	NOUN
ejpam-797	348	1	′	′	NUM
ejpam-797	348	2	′	′	NUM
ejpam-797	348	3	∏	∏	PROPN
ejpam-797	348	4	∏	∏	NOUN
ejpam-797	348	5			NOUN
ejpam-797	348	6	.	.	PUNCT
ejpam-797	349	1	(	(	PUNCT
ejpam-797	349	2	46	46	X
ejpam-797	349	3	)	)	PUNCT
ejpam-797	349	4	the	the	DET
ejpam-797	349	5	proof	proof	NOUN
ejpam-797	349	6	of	of	ADP
ejpam-797	349	7	theorem	theorem	ADJ
ejpam-797	349	8	3	3	NUM
ejpam-797	349	9	is	be	AUX
ejpam-797	349	10	in	in	ADP
ejpam-797	349	11	the	the	DET
ejpam-797	349	12	appendix	appendix	NOUN
ejpam-797	349	13	.	.	PUNCT
ejpam-797	350	1	theorem	theorem	VERB
ejpam-797	350	2	4	4	NUM
ejpam-797	350	3	.	.	PUNCT
ejpam-797	351	1	the	the	DET
ejpam-797	351	2	likelihood	likelihood	NOUN
ejpam-797	351	3	ratio	ratio	NOUN
ejpam-797	351	4	test	test	NOUN
ejpam-797	351	5	statistic	statistic	NOUN
ejpam-797	351	6	of	of	ADP
ejpam-797	351	7	the	the	DET
ejpam-797	351	8	hypothesis	hypothesis	NOUN
ejpam-797	351	9	[	[	PUNCT
ejpam-797	351	10	]	]	X
ejpam-797	351	11	0	0	NUM
ejpam-797	351	12	:	:	PUNCT
ejpam-797	351	13	,	,	PUNCT
ejpam-797	351	14	,	,	PUNCT
ejpam-797	351	15	h	h	NOUN
ejpam-797	351	16	h	h	NOUN
ejpam-797	352	1	aβ	aβ	VERB
ejpam-797	352	2	φ	φ	PROPN
ejpam-797	352	3	α	α	PROPN
ejpam-797	352	4	τ=	τ=	NOUN
ejpam-797	352	5	=	=	PUNCT
ejpam-797	352	6	verses	verse	NOUN
ejpam-797	352	7	(	(	PUNCT
ejpam-797	352	8	)	)	PUNCT
ejpam-797	352	9	h	h	NOUN
ejpam-797	352	10	r	r	NOUN
ejpam-797	352	11	is	be	AUX
ejpam-797	352	12	expressed	express	VERB
ejpam-797	352	13	as	as	ADP
ejpam-797	352	14	:	:	PUNCT
ejpam-797	352	15	n.	n.	PROPN
ejpam-797	352	16	morin	morin	PROPN
ejpam-797	352	17	/	/	SYM
ejpam-797	352	18	eur	eur	PROPN
ejpam-797	352	19	.	.	PUNCT
ejpam-797	353	1	j.	j.	PROPN
ejpam-797	353	2	pure	pure	PROPN
ejpam-797	353	3	appl	appl	PROPN
ejpam-797	353	4	.	.	PUNCT
ejpam-797	354	1	math	math	NOUN
ejpam-797	354	2	551	551	NUM
ejpam-797	354	3	(	(	PUNCT
ejpam-797	354	4	)	)	PUNCT
ejpam-797	354	5	(	(	PUNCT
ejpam-797	354	6	)	)	PUNCT
ejpam-797	354	7	(	(	PUNCT
ejpam-797	354	8	)	)	PUNCT
ejpam-797	354	9	(	(	PUNCT
ejpam-797	354	10	)	)	PUNCT
ejpam-797	354	11	(	(	PUNCT
ejpam-797	354	12	)	)	PUNCT
ejpam-797	354	13	0	0	NUM
ejpam-797	354	14	00	00	NUM
ejpam-797	354	15	.	.	PUNCT
ejpam-797	354	16	00	00	NUM
ejpam-797	355	1	00	00	NUM
ejpam-797	355	2	1	1	NUM
ejpam-797	355	3	1	1	NUM
ejpam-797	355	4	1	1	NUM
ejpam-797	355	5	|	|	ADV
ejpam-797	355	6	ln	ln	ADV
ejpam-797	355	7	...	...	PUNCT
ejpam-797	355	8	ˆln	ˆln	PROPN
ejpam-797	356	1	ln	ln	ADV
ejpam-797	356	2	1	1	NUM
ejpam-797	356	3	ln	ln	NOUN
ejpam-797	356	4	1	1	NUM
ejpam-797	356	5	ln	ln	NOUN
ejpam-797	356	6	1	1	NUM
ejpam-797	356	7	k	k	NOUN
ejpam-797	356	8	r	r	NOUN
ejpam-797	356	9	m	m	VERB
ejpam-797	356	10	m	m	VERB
ejpam-797	356	11	r	r	NOUN
ejpam-797	356	12	i	i	PRON
ejpam-797	357	1	i	i	INTJ
ejpam-797	358	1	j	j	VERB
ejpam-797	359	1	i	i	PRON
ejpam-797	359	2	i	i	PRON
ejpam-797	359	3	j	j	VERB
ejpam-797	360	1	lr	lr	INTJ
ejpam-797	360	2	h	h	NOUN
ejpam-797	360	3	h	h	NOUN
ejpam-797	360	4	r	r	NOUN
ejpam-797	361	1	a	a	DET
ejpam-797	361	2	s	s	NOUN
ejpam-797	361	3	a	a	DET
ejpam-797	361	4	a	a	PRON
ejpam-797	361	5	s	s	NOUN
ejpam-797	361	6	a	a	DET
ejpam-797	361	7	t	t	NOUN
ejpam-797	361	8	a	a	DET
ejpam-797	361	9	a	a	DET
ejpam-797	361	10	a	a	DET
ejpam-797	361	11	a	a	PRON
ejpam-797	361	12	s	s	X
ejpam-797	361	13	λ	λ	X
ejpam-797	361	14	ρ	ρ	NOUN
ejpam-797	361	15	λ	λ	PROPN
ejpam-797	361	16	⊥	⊥	PROPN
ejpam-797	361	17	⊥	⊥	X
ejpam-797	361	18	⊥	⊥	X
ejpam-797	361	19	⊥	⊥	NOUN
ejpam-797	361	20	−	−	PROPN
ejpam-797	362	1	=	=	PUNCT
ejpam-797	362	2	=	=	PUNCT
ejpam-797	362	3	=	=	PUNCT
ejpam-797	362	4	=	=	PUNCT
ejpam-797	362	5			NOUN
ejpam-797	362	6	′	′	NUM
ejpam-797	362	7	′	′	PRON
ejpam-797	362	8			PRON
ejpam-797	362	9	−	−	NUM
ejpam-797	362	10			NOUN
ejpam-797	362	11	′	′	NOUN
ejpam-797	363	1	′	′	NOUN
ejpam-797	363	2			VERB
ejpam-797	363	3			X
ejpam-797	363	4			VERB
ejpam-797	363	5			NOUN
ejpam-797	363	6	+	+	CCONJ
ejpam-797	363	7	−	−	PROPN
ejpam-797	364	1	+	+	CCONJ
ejpam-797	365	1	−	−	PROPN
ejpam-797	365	2	−	−	NOUN
ejpam-797	366	1	−	−	PROPN
ejpam-797	366	2			PROPN
ejpam-797	366	3			NOUN
ejpam-797	366	4	∑	∑	ADP
ejpam-797	366	5	∑	∑	PART
ejpam-797	366	6	∑	∑	ADJ
ejpam-797	366	7			NOUN
ejpam-797	366	8	,	,	PUNCT
ejpam-797	366	9	(	(	PUNCT
ejpam-797	366	10	47	47	NUM
ejpam-797	366	11	)	)	PUNCT
ejpam-797	366	12	where	where	SCONJ
ejpam-797	366	13	{	{	PUNCT
ejpam-797	366	14	}	}	PUNCT
ejpam-797	366	15	1,î	1,î	NUM
ejpam-797	367	1	i	i	NOUN
ejpam-797	367	2	r	r	NOUN
ejpam-797	367	3	λ	λ	NOUN
ejpam-797	367	4	=	=	PRON
ejpam-797	367	5	are	be	AUX
ejpam-797	367	6	from	from	ADP
ejpam-797	367	7	the	the	DET
ejpam-797	367	8	unrestricted	unrestricted	ADJ
ejpam-797	367	9	maximized	maximized	ADJ
ejpam-797	367	10	likelihood	likelihood	NOUN
ejpam-797	367	11	in	in	ADP
ejpam-797	367	12	(	(	PUNCT
ejpam-797	367	13	15	15	NUM
ejpam-797	367	14	)	)	PUNCT
ejpam-797	367	15	,	,	PUNCT
ejpam-797	367	16	and	and	CCONJ
ejpam-797	367	17	is	be	AUX
ejpam-797	367	18	asymptotically	asymptotically	ADV
ejpam-797	367	19	distributed	distribute	VERB
ejpam-797	367	20	as	as	ADP
ejpam-797	367	21	2χ	2χ	NUM
ejpam-797	367	22	with	with	ADP
ejpam-797	367	23	m(p	m(p	PROPN
ejpam-797	367	24	-	-	PUNCT
ejpam-797	367	25	r)+r(p	r)+r(p	NOUN
ejpam-797	367	26	-	-	NOUN
ejpam-797	367	27	s)degrees	s)degree	NOUN
ejpam-797	367	28	of	of	ADP
ejpam-797	367	29	freedom	freedom	NOUN
ejpam-797	367	30	.	.	PUNCT
ejpam-797	368	1	the	the	DET
ejpam-797	368	2	proof	proof	NOUN
ejpam-797	368	3	of	of	ADP
ejpam-797	368	4	theorem	theorem	ADJ
ejpam-797	368	5	4	4	NUM
ejpam-797	368	6	is	be	AUX
ejpam-797	368	7	in	in	ADP
ejpam-797	368	8	the	the	DET
ejpam-797	368	9	appendix	appendix	NOUN
ejpam-797	368	10	.	.	PUNCT
ejpam-797	369	1	next	next	ADV
ejpam-797	369	2	,	,	PUNCT
ejpam-797	369	3	a	a	DET
ejpam-797	369	4	hypothesis	hypothesis	NOUN
ejpam-797	369	5	test	test	NOUN
ejpam-797	369	6	on	on	ADP
ejpam-797	369	7	αβ	αβ	INTJ
ejpam-797	369	8	′π	′π	PROPN
ejpam-797	369	9	=	=	PROPN
ejpam-797	369	10	of	of	ADP
ejpam-797	369	11	the	the	DET
ejpam-797	369	12	form	form	NOUN
ejpam-797	369	13	1	1	NUM
ejpam-797	369	14	2π	2π	NOUN
ejpam-797	369	15	=	=	PUNCT
ejpam-797	370	1	π	π	NOUN
ejpam-797	370	2	+	+	CCONJ
ejpam-797	370	3	π	π	PROPN
ejpam-797	370	4	is	i	VERB
ejpam-797	370	5	presented	present	VERB
ejpam-797	370	6	in	in	ADP
ejpam-797	370	7	which	which	PRON
ejpam-797	370	8	1	1	NUM
ejpam-797	370	9	ah	ah	INTJ
ejpam-797	370	10	′π	′π	PROPN
ejpam-797	370	11	=	=	PUNCT
ejpam-797	370	12	is	be	AUX
ejpam-797	370	13	known	know	VERB
ejpam-797	370	14	.	.	PUNCT
ejpam-797	371	1	this	this	DET
ejpam-797	371	2	test	test	NOUN
ejpam-797	371	3	,	,	PUNCT
ejpam-797	371	4	which	which	PRON
ejpam-797	371	5	combines	combine	VERB
ejpam-797	371	6	tests	test	NOUN
ejpam-797	371	7	(	(	PUNCT
ejpam-797	371	8	2	2	NUM
ejpam-797	371	9	)	)	PUNCT
ejpam-797	371	10	and	and	CCONJ
ejpam-797	371	11	(	(	PUNCT
ejpam-797	371	12	4	4	NUM
ejpam-797	371	13	)	)	PUNCT
ejpam-797	371	14	,	,	PUNCT
ejpam-797	371	15	implies	imply	VERB
ejpam-797	371	16	one	one	NUM
ejpam-797	371	17	is	be	AUX
ejpam-797	371	18	testing	test	VERB
ejpam-797	371	19	that	that	SCONJ
ejpam-797	371	20	both	both	CCONJ
ejpam-797	371	21	a	a	DET
ejpam-797	371	22	subset	subset	NOUN
ejpam-797	371	23	of	of	ADP
ejpam-797	371	24	the	the	DET
ejpam-797	371	25	cointegrating	cointegrate	VERB
ejpam-797	371	26	vectors	vector	NOUN
ejpam-797	371	27	and	and	CCONJ
ejpam-797	371	28	the	the	DET
ejpam-797	371	29	associated	associated	ADJ
ejpam-797	371	30	adjustment	adjustment	NOUN
ejpam-797	371	31	vectors	vector	NOUN
ejpam-797	371	32	are	be	AUX
ejpam-797	371	33	known	know	VERB
ejpam-797	371	34	.	.	PUNCT
ejpam-797	372	1	it	it	PRON
ejpam-797	372	2	might	might	AUX
ejpam-797	372	3	seem	seem	VERB
ejpam-797	372	4	too	too	ADV
ejpam-797	372	5	optimistic	optimistic	ADJ
ejpam-797	372	6	or	or	CCONJ
ejpam-797	372	7	restrictive	restrictive	ADJ
ejpam-797	372	8	to	to	PART
ejpam-797	372	9	believe	believe	VERB
ejpam-797	372	10	one	one	PRON
ejpam-797	372	11	might	might	AUX
ejpam-797	372	12	not	not	PART
ejpam-797	372	13	only	only	ADV
ejpam-797	372	14	know	know	VERB
ejpam-797	372	15	certain	certain	ADJ
ejpam-797	372	16	cointegrating	cointegrate	VERB
ejpam-797	372	17	vectors	vector	NOUN
ejpam-797	372	18	but	but	CCONJ
ejpam-797	372	19	also	also	ADV
ejpam-797	372	20	know	know	VERB
ejpam-797	372	21	the	the	DET
ejpam-797	372	22	adjustments	adjustment	NOUN
ejpam-797	372	23	to	to	ADP
ejpam-797	372	24	them	they	PRON
ejpam-797	372	25	.	.	PUNCT
ejpam-797	373	1	a	a	DET
ejpam-797	373	2	test	test	NOUN
ejpam-797	373	3	of	of	ADP
ejpam-797	373	4	this	this	DET
ejpam-797	373	5	sort	sort	NOUN
ejpam-797	373	6	,	,	PUNCT
ejpam-797	373	7	however	however	ADV
ejpam-797	373	8	,	,	PUNCT
ejpam-797	373	9	might	might	AUX
ejpam-797	373	10	be	be	AUX
ejpam-797	373	11	useful	useful	ADJ
ejpam-797	373	12	as	as	ADP
ejpam-797	373	13	the	the	DET
ejpam-797	373	14	end	end	NOUN
ejpam-797	373	15	of	of	ADP
ejpam-797	373	16	a	a	DET
ejpam-797	373	17	general	general	ADJ
ejpam-797	373	18	-	-	PUNCT
ejpam-797	373	19	to	to	ADP
ejpam-797	373	20	-	-	PUNCT
ejpam-797	373	21	simple	simple	ADJ
ejpam-797	373	22	strategy	strategy	NOUN
ejpam-797	373	23	for	for	ADP
ejpam-797	373	24	testing	test	VERB
ejpam-797	373	25	structural	structural	ADJ
ejpam-797	373	26	hypotheses	hypothesis	NOUN
ejpam-797	373	27	or	or	CCONJ
ejpam-797	373	28	for	for	ADP
ejpam-797	373	29	testing	test	VERB
ejpam-797	373	30	very	very	ADV
ejpam-797	373	31	specific	specific	ADJ
ejpam-797	373	32	theoretical	theoretical	ADJ
ejpam-797	373	33	implications	implication	NOUN
ejpam-797	373	34	.	.	PUNCT
ejpam-797	374	1	more	more	ADV
ejpam-797	374	2	usefully	usefully	ADV
ejpam-797	374	3	,	,	PUNCT
ejpam-797	374	4	one	one	PRON
ejpam-797	374	5	might	might	AUX
ejpam-797	374	6	estimate	estimate	VERB
ejpam-797	374	7	the	the	DET
ejpam-797	374	8	cointegrating	cointegrate	VERB
ejpam-797	374	9	relationships	relationship	NOUN
ejpam-797	374	10	and	and	CCONJ
ejpam-797	374	11	adjustment	adjustment	NOUN
ejpam-797	374	12	vectors	vector	NOUN
ejpam-797	374	13	from	from	ADP
ejpam-797	374	14	a	a	DET
ejpam-797	374	15	subset	subset	NOUN
ejpam-797	374	16	of	of	ADP
ejpam-797	374	17	a	a	DET
ejpam-797	374	18	system	system	NOUN
ejpam-797	374	19	of	of	ADP
ejpam-797	374	20	variables	variable	NOUN
ejpam-797	374	21	and	and	CCONJ
ejpam-797	374	22	then	then	ADV
ejpam-797	374	23	desire	desire	VERB
ejpam-797	374	24	to	to	PART
ejpam-797	374	25	test	test	VERB
ejpam-797	374	26	whether	whether	SCONJ
ejpam-797	374	27	these	these	DET
ejpam-797	374	28	estimated	estimate	VERB
ejpam-797	374	29	relationships	relationship	NOUN
ejpam-797	374	30	hold	hold	VERB
ejpam-797	374	31	in	in	ADP
ejpam-797	374	32	the	the	DET
ejpam-797	374	33	full	full	ADJ
ejpam-797	374	34	system	system	NOUN
ejpam-797	374	35	of	of	ADP
ejpam-797	374	36	variables	variable	NOUN
ejpam-797	374	37	.	.	PUNCT
ejpam-797	375	1	(	(	PUNCT
ejpam-797	375	2	8)	8)	NUM
ejpam-797	375	3	[	[	PUNCT
ejpam-797	375	4	]	]	X
ejpam-797	375	5	[	[	PUNCT
ejpam-797	375	6	]	]	X
ejpam-797	375	7	0	0	NUM
ejpam-797	375	8	:	:	PUNCT
ejpam-797	375	9	,	,	PUNCT
ejpam-797	375	10	,	,	PUNCT
ejpam-797	375	11	,	,	PUNCT
ejpam-797	375	12	h	h	NOUN
ejpam-797	375	13	h	h	NOUN
ejpam-797	376	1	aβ	aβ	VERB
ejpam-797	376	2	θ	θ	NOUN
ejpam-797	376	3	α	α	NOUN
ejpam-797	376	4	τ=	τ=	X
ejpam-797	377	1	=	=	PUNCT
ejpam-797	377	2	where	where	SCONJ
ejpam-797	377	3	both	both	PRON
ejpam-797	377	4	,	,	PUNCT
ejpam-797	377	5	h	h	PROPN
ejpam-797	377	6	a	a	PRON
ejpam-797	377	7	are	be	AUX
ejpam-797	377	8	known	know	VERB
ejpam-797	377	9	p×s	p×s	PROPN
ejpam-797	377	10	matrices	matrix	NOUN
ejpam-797	377	11	with	with	ADP
ejpam-797	377	12	s	s	NOUN
ejpam-797	377	13	<	<	X
ejpam-797	377	14	r	r	NOUN
ejpam-797	377	15	,	,	PUNCT
ejpam-797	377	16	and	and	CCONJ
ejpam-797	377	17	the	the	DET
ejpam-797	377	18	unknown	unknown	ADJ
ejpam-797	377	19	parameter	parameter	NOUN
ejpam-797	377	20	matrices	matrix	NOUN
ejpam-797	377	21	are	be	AUX
ejpam-797	377	22	orthogonal	orthogonal	ADJ
ejpam-797	377	23	to	to	ADP
ejpam-797	377	24	,	,	PUNCT
ejpam-797	377	25	h	h	PROPN
ejpam-797	377	26	a	a	PRON
ejpam-797	377	27	:	:	PUNCT
ejpam-797	377	28	hθ	hθ	PROPN
ejpam-797	377	29	φ⊥=	φ⊥=	NOUN
ejpam-797	377	30	,	,	PUNCT
ejpam-797	377	31	aτ	aτ	ADV
ejpam-797	377	32	ψ⊥=	ψ⊥=	NOUN
ejpam-797	377	33	with	with	ADP
ejpam-797	377	34	h⊥	h⊥	NOUN
ejpam-797	377	35	,	,	PUNCT
ejpam-797	377	36	a⊥	a⊥	NOUN
ejpam-797	377	37			NUM
ejpam-797	377	38	p×(p	p×(p	X
ejpam-797	377	39	-	-	SYM
ejpam-797	377	40	s	s	X
ejpam-797	377	41	)	)	PUNCT
ejpam-797	377	42	known	know	VERB
ejpam-797	377	43	and	and	CCONJ
ejpam-797	377	44	φ	φ	NUM
ejpam-797	377	45	,	,	PUNCT
ejpam-797	377	46	ψ	ψ	X
ejpam-797	377	47	(	(	PUNCT
ejpam-797	377	48	p	p	X
ejpam-797	377	49	-	-	PUNCT
ejpam-797	377	50	s)×(r	s)×(r	NOUN
ejpam-797	377	51	-	-	PUNCT
ejpam-797	377	52	s	s	NOUN
ejpam-797	377	53	)	)	PUNCT
ejpam-797	377	54	unknown	unknown	ADJ
ejpam-797	377	55	.	.	PUNCT
ejpam-797	378	1	this	this	PRON
ejpam-797	378	2	implies	imply	VERB
ejpam-797	378	3	ah	ah	INTJ
ejpam-797	378	4	ah	ah	INTJ
ejpam-797	378	5	a	a	DET
ejpam-797	378	6	hτθ	hτθ	NOUN
ejpam-797	378	7	ψφ⊥	ψφ⊥	PROPN
ejpam-797	378	8	⊥′	⊥′	PROPN
ejpam-797	378	9	′	′	NUM
ejpam-797	378	10	′	′	NUM
ejpam-797	379	1	′	′	NUM
ejpam-797	380	1	′π	′π	NOUN
ejpam-797	381	1	=	=	PUNCT
ejpam-797	382	1	+	+	PUNCT
ejpam-797	382	2	=	=	SYM
ejpam-797	383	1	+	+	CCONJ
ejpam-797	383	2	.	.	PUNCT
ejpam-797	384	1	define	define	VERB
ejpam-797	384	2	the	the	DET
ejpam-797	384	3	vector	vector	NOUN
ejpam-797	384	4	of	of	ADP
ejpam-797	384	5	residuals	residual	NOUN
ejpam-797	384	6	0	0	NUM
ejpam-797	384	7	1kt	1kt	ADJ
ejpam-797	384	8	t	t	NOUN
ejpam-797	384	9	tr	tr	NOUN
ejpam-797	384	10	r	r	NOUN
ejpam-797	384	11	ah	ah	INTJ
ejpam-797	384	12	r′=	r′=	NOUN
ejpam-797	384	13	−	−	PROPN
ejpam-797	384	14	.	.	PUNCT
ejpam-797	385	1	(	(	PUNCT
ejpam-797	385	2	48	48	NUM
ejpam-797	385	3	)	)	PUNCT
ejpam-797	385	4	the	the	DET
ejpam-797	385	5	reduced	reduce	VERB
ejpam-797	385	6	rank	rank	NOUN
ejpam-797	385	7	regression	regression	NOUN
ejpam-797	385	8	(	(	PUNCT
ejpam-797	385	9	16	16	NUM
ejpam-797	385	10	)	)	PUNCT
ejpam-797	385	11	is	be	AUX
ejpam-797	385	12	split	split	VERB
ejpam-797	385	13	into	into	ADP
ejpam-797	385	14	1	1	NUM
ejpam-797	385	15	1	1	NUM
ejpam-797	385	16	kt	kt	ADP
ejpam-797	385	17	t	t	PROPN
ejpam-797	385	18	kt	kt	PROPN
ejpam-797	385	19	t	t	PROPN
ejpam-797	385	20	t	t	PROPN
ejpam-797	385	21	a	a	DET
ejpam-797	385	22	r	r	NOUN
ejpam-797	385	23	a	a	PRON
ejpam-797	385	24	a	a	DET
ejpam-797	385	25	r	r	NOUN
ejpam-797	385	26	h	h	NOUN
ejpam-797	385	27	r	r	NOUN
ejpam-797	385	28	a	a	DET
ejpam-797	385	29	ε	ε	PROPN
ejpam-797	385	30	ψ	ψ	PROPN
ejpam-797	385	31	φ	φ	PROPN
ejpam-797	385	32	ε⊥	ε⊥	PROPN
ejpam-797	385	33	⊥	⊥	NOUN
ejpam-797	385	34	′	′	NUM
ejpam-797	386	1	′=	′=	PROPN
ejpam-797	386	2	′	′	NUM
ejpam-797	387	1	′	′	NUM
ejpam-797	388	1	′	′	NUM
ejpam-797	388	2	′=	′=	PROPN
ejpam-797	388	3	+	+	X
ejpam-797	388	4	.	.	PUNCT
ejpam-797	389	1	(	(	PUNCT
ejpam-797	389	2	49	49	NUM
ejpam-797	389	3	)	)	PUNCT
ejpam-797	389	4	in	in	ADP
ejpam-797	389	5	order	order	NOUN
ejpam-797	389	6	to	to	PART
ejpam-797	389	7	derive	derive	VERB
ejpam-797	389	8	the	the	DET
ejpam-797	389	9	test	test	NOUN
ejpam-797	389	10	statistics	statistic	NOUN
ejpam-797	389	11	and	and	CCONJ
ejpam-797	389	12	to	to	PART
ejpam-797	389	13	estimate	estimate	VERB
ejpam-797	389	14	the	the	DET
ejpam-797	389	15	restricted	restricted	ADJ
ejpam-797	389	16	parameters	parameter	NOUN
ejpam-797	389	17	under	under	ADP
ejpam-797	389	18	this	this	DET
ejpam-797	389	19	hypothesis	hypothesis	NOUN
ejpam-797	389	20	it	it	PRON
ejpam-797	389	21	is	be	AUX
ejpam-797	389	22	again	again	ADV
ejpam-797	389	23	necessary	necessary	ADJ
ejpam-797	389	24	to	to	PART
ejpam-797	389	25	define	define	VERB
ejpam-797	389	26	a	a	DET
ejpam-797	389	27	new	new	ADJ
ejpam-797	389	28	set	set	NOUN
ejpam-797	389	29	of	of	ADP
ejpam-797	389	30	residual	residual	ADJ
ejpam-797	389	31	vectors	vector	NOUN
ejpam-797	389	32	and	and	CCONJ
ejpam-797	389	33	transform	transform	VERB
ejpam-797	389	34	the	the	DET
ejpam-797	389	35	product	product	NOUN
ejpam-797	389	36	moment	moment	NOUN
ejpam-797	389	37	matrices	matrix	NOUN
ejpam-797	389	38	,	,	PUNCT
ejpam-797	389	39	1	1	NUM
ejpam-797	389	40	1	1	NUM
ejpam-797	389	41	,	,	PUNCT
ejpam-797	389	42	1	1	NUM
ejpam-797	389	43	,	,	PUNCT
ejpam-797	389	44	t	t	PROPN
ejpam-797	389	45	ik	ik	PROPN
ejpam-797	389	46	it	it	PRON
ejpam-797	389	47	kt	kt	PROPN
ejpam-797	389	48	t	t	NOUN
ejpam-797	389	49	s	s	NOUN
ejpam-797	390	1	r	r	NOUN
ejpam-797	390	2	r	r	NOUN
ejpam-797	390	3	i	i	NOUN
ejpam-797	390	4	k	k	PROPN
ejpam-797	390	5	t	t	PROPN
ejpam-797	390	6	=	=	PUNCT
ejpam-797	390	7	′=	′=	PROPN
ejpam-797	390	8	=	=	PUNCT
ejpam-797	390	9	∑	∑	PUNCT
ejpam-797	390	10	and	and	CCONJ
ejpam-797	390	11	so	so	ADV
ejpam-797	390	12	on	on	ADV
ejpam-797	390	13	,	,	PUNCT
ejpam-797	390	14	and	and	CCONJ
ejpam-797	390	15	also	also	ADV
ejpam-797	390	16	define	define	VERB
ejpam-797	390	17	the	the	DET
ejpam-797	390	18	product	product	NOUN
ejpam-797	390	19	moment	moment	NOUN
ejpam-797	390	20	matrices	matrix	NOUN
ejpam-797	390	21	,	,	PUNCT
ejpam-797	390	22	(	(	PUNCT
ejpam-797	390	23	)	)	PUNCT
ejpam-797	390	24	1	1	NUM
ejpam-797	390	25	.	.	PUNCT
ejpam-797	390	26	,	,	PUNCT
ejpam-797	390	27	1,ij	1,ij	NUM
ejpam-797	391	1	a	a	DET
ejpam-797	391	2	ij	ij	NOUN
ejpam-797	391	3	ik	ik	PROPN
ejpam-797	391	4	kk	kk	PROPN
ejpam-797	391	5	kjs	kjs	PROPN
ejpam-797	391	6	s	s	PROPN
ejpam-797	391	7	s	s	PROPN
ejpam-797	391	8	a	a	DET
ejpam-797	391	9	a	a	DET
ejpam-797	391	10	s	s	NOUN
ejpam-797	391	11	a	a	DET
ejpam-797	391	12	a	a	PRON
ejpam-797	391	13	s	s	X
ejpam-797	392	1	i	i	PRON
ejpam-797	393	1	k−′	k−′	NOUN
ejpam-797	393	2	′=	′=	NOUN
ejpam-797	393	3	−	−	PROPN
ejpam-797	394	1	=	=	PRON
ejpam-797	394	2	.	.	PUNCT
ejpam-797	395	1	the	the	DET
ejpam-797	395	2	restricted	restrict	VERB
ejpam-797	395	3	estimators	estimator	NOUN
ejpam-797	395	4	and	and	CCONJ
ejpam-797	395	5	the	the	DET
ejpam-797	395	6	likelihood	likelihood	NOUN
ejpam-797	395	7	ratio	ratio	NOUN
ejpam-797	395	8	test	test	NOUN
ejpam-797	395	9	statistic	statistic	NOUN
ejpam-797	395	10	and	and	CCONJ
ejpam-797	395	11	its	its	PRON
ejpam-797	395	12	asymptotic	asymptotic	ADJ
ejpam-797	395	13	distribution	distribution	NOUN
ejpam-797	395	14	are	be	AUX
ejpam-797	395	15	summarized	summarize	VERB
ejpam-797	395	16	in	in	ADP
ejpam-797	395	17	the	the	DET
ejpam-797	395	18	following	follow	VERB
ejpam-797	395	19	theorem	theorem	NOUN
ejpam-797	395	20	.	.	PUNCT
ejpam-797	395	21	theorem	theorem	NOUN
ejpam-797	395	22	5	5	NUM
ejpam-797	395	23	.	.	PUNCT
ejpam-797	395	24	under	under	ADP
ejpam-797	395	25	the	the	DET
ejpam-797	395	26	hypothesis	hypothesis	NOUN
ejpam-797	395	27	[	[	PUNCT
ejpam-797	395	28	]	]	X
ejpam-797	395	29	[	[	PUNCT
ejpam-797	395	30	]	]	X
ejpam-797	395	31	0	0	NUM
ejpam-797	395	32	:	:	PUNCT
ejpam-797	395	33	,	,	PUNCT
ejpam-797	395	34	,	,	PUNCT
ejpam-797	395	35	,	,	PUNCT
ejpam-797	395	36	h	h	NOUN
ejpam-797	395	37	h	h	NOUN
ejpam-797	396	1	aβ	aβ	VERB
ejpam-797	396	2	θ	θ	NOUN
ejpam-797	396	3	α	α	NOUN
ejpam-797	396	4	τ=	τ=	X
ejpam-797	397	1	=	=	PUNCT
ejpam-797	397	2	where	where	SCONJ
ejpam-797	397	3	,	,	PUNCT
ejpam-797	397	4	h	h	PROPN
ejpam-797	397	5	a	a	PRON
ejpam-797	397	6	are	be	AUX
ejpam-797	397	7	known	know	VERB
ejpam-797	397	8	p×s	p×s	PROPN
ejpam-797	397	9	matrices	matrix	NOUN
ejpam-797	397	10	;	;	PUNCT
ejpam-797	397	11	θ	θ	PROPN
ejpam-797	397	12	and	and	CCONJ
ejpam-797	397	13	τ	τ	PROPN
ejpam-797	397	14	are	be	AUX
ejpam-797	397	15	unknown	unknown	ADJ
ejpam-797	397	16	p×(r	p×(r	NOUN
ejpam-797	397	17	-	-	SYM
ejpam-797	397	18	s	s	NOUN
ejpam-797	397	19	)	)	PUNCT
ejpam-797	397	20	matrices	matrix	NOUN
ejpam-797	397	21	such	such	ADJ
ejpam-797	397	22	that	that	SCONJ
ejpam-797	397	23	hθ	hθ	PROPN
ejpam-797	397	24	φ⊥=	φ⊥=	NOUN
ejpam-797	397	25	and	and	CCONJ
ejpam-797	397	26	aτ	aτ	ADV
ejpam-797	397	27	ψ⊥=	ψ⊥=	NOUN
ejpam-797	397	28	with	with	ADP
ejpam-797	397	29	h⊥	h⊥	PROPN
ejpam-797	397	30	n.	n.	NOUN
ejpam-797	397	31	morin	morin	PROPN
ejpam-797	397	32	/	/	SYM
ejpam-797	397	33	eur	eur	PROPN
ejpam-797	397	34	.	.	PUNCT
ejpam-797	398	1	j.	j.	PROPN
ejpam-797	398	2	pure	pure	PROPN
ejpam-797	398	3	appl	appl	PROPN
ejpam-797	398	4	.	.	PUNCT
ejpam-797	399	1	math	math	NOUN
ejpam-797	399	2	552	552	NUM
ejpam-797	399	3	and	and	CCONJ
ejpam-797	399	4	a⊥	a⊥	NOUN
ejpam-797	399	5			NUM
ejpam-797	399	6	p×(p	p×(p	X
ejpam-797	399	7	-	-	SYM
ejpam-797	399	8	s	s	X
ejpam-797	399	9	)	)	PUNCT
ejpam-797	399	10	known	know	VERB
ejpam-797	399	11	and	and	CCONJ
ejpam-797	399	12	φ	φ	NUM
ejpam-797	399	13	,	,	PUNCT
ejpam-797	399	14	ψ	ψ	X
ejpam-797	399	15	(	(	PUNCT
ejpam-797	399	16	p	p	X
ejpam-797	399	17	-	-	PUNCT
ejpam-797	399	18	s)×(r	s)×(r	NOUN
ejpam-797	399	19	-	-	PUNCT
ejpam-797	399	20	s	s	NOUN
ejpam-797	399	21	)	)	PUNCT
ejpam-797	399	22	unknown	unknown	ADJ
ejpam-797	399	23	;	;	PUNCT
ejpam-797	399	24	the	the	DET
ejpam-797	399	25	maximum	maximum	ADJ
ejpam-797	399	26	likelihood	likelihood	NOUN
ejpam-797	399	27	estimators	estimator	NOUN
ejpam-797	399	28	are	be	AUX
ejpam-797	399	29	found	find	VERB
ejpam-797	399	30	by	by	ADP
ejpam-797	399	31	the	the	DET
ejpam-797	399	32	following	follow	VERB
ejpam-797	399	33	steps	step	NOUN
ejpam-797	399	34	:	:	PUNCT
ejpam-797	399	35	solve	solve	VERB
ejpam-797	399	36	the	the	DET
ejpam-797	399	37	eigenvalue	eigenvalue	PROPN
ejpam-797	399	38	problem	problem	NOUN
ejpam-797	399	39	(	(	PUNCT
ejpam-797	399	40	)	)	PUNCT
ejpam-797	399	41	1	1	NUM
ejpam-797	399	42	11	11	NUM
ejpam-797	399	43	.	.	NOUN
ejpam-797	400	1	1	1	NUM
ejpam-797	400	2	.	.	PUNCT
ejpam-797	400	3	.	.	PUNCT
ejpam-797	401	1	1	1	X
ejpam-797	401	2	.	.	X
ejpam-797	401	3	0a	0a	PROPN
ejpam-797	401	4	k	k	PROPN
ejpam-797	402	1	a	a	PRON
ejpam-797	402	2	kk	kk	INTJ
ejpam-797	402	3	a	a	PRON
ejpam-797	402	4	k	k	X
ejpam-797	402	5	ah	ah	INTJ
ejpam-797	402	6	s	s	VERB
ejpam-797	402	7	h	h	NOUN
ejpam-797	402	8	h	h	NOUN
ejpam-797	402	9	s	s	VERB
ejpam-797	402	10	a	a	PRON
ejpam-797	402	11	a	a	DET
ejpam-797	402	12	s	s	NOUN
ejpam-797	402	13	a	a	DET
ejpam-797	402	14	a	a	DET
ejpam-797	402	15	s	s	NOUN
ejpam-797	402	16	hλ	hλ	NOUN
ejpam-797	402	17	−	−	PROPN
ejpam-797	403	1	⊥	⊥	PROPN
ejpam-797	403	2	⊥	⊥	PROPN
ejpam-797	403	3	⊥	⊥	PROPN
ejpam-797	403	4	⊥	⊥	PROPN
ejpam-797	403	5	⊥	⊥	PROPN
ejpam-797	403	6	⊥	⊥	PROPN
ejpam-797	403	7	⊥	⊥	ADJ
ejpam-797	403	8	⊥′	⊥′	PROPN
ejpam-797	403	9	′	′	NUM
ejpam-797	403	10	′−	′−	PROPN
ejpam-797	403	11	=	=	PUNCT
ejpam-797	403	12	(	(	PUNCT
ejpam-797	403	13	50	50	NUM
ejpam-797	403	14	)	)	PUNCT
ejpam-797	403	15	for	for	ADP
ejpam-797	403	16	eigenvalues	eigenvalue	NOUN
ejpam-797	403	17	1	1	NUM
ejpam-797	403	18	11	11	NUM
ejpam-797	403	19	0s	0s	NOUN
ejpam-797	403	20	r	r	NOUN
ejpam-797	403	21	s	s	NOUN
ejpam-797	403	22	r	r	NOUN
ejpam-797	403	23	p	p	NOUN
ejpam-797	403	24	sλ	sλ	NOUN
ejpam-797	403	25	λ	λ	X
ejpam-797	403	26	λ	λ	X
ejpam-797	403	27	λ−	λ−	PROPN
ejpam-797	403	28	−	−	PROPN
ejpam-797	404	1	+	+	CCONJ
ejpam-797	404	2	−≥	−≥	PROPN
ejpam-797	404	3	≥	≥	NOUN
ejpam-797	404	4	≥	≥	NOUN
ejpam-797	404	5	≥	≥	NOUN
ejpam-797	404	6	=	=	PUNCT
ejpam-797	404	7	=	=	PUNCT
ejpam-797	404	8	=	=	ADJ
ejpam-797	404	9			X
ejpam-797	404	10			X
ejpam-797	404	11			PROPN
ejpam-797	404	12			PROPN
ejpam-797	405	1			NUM
ejpam-797	405	2			NUM
ejpam-797	405	3	and	and	CCONJ
ejpam-797	405	4	corresponding	corresponding	ADJ
ejpam-797	405	5	eigenvectors	eigenvector	NOUN
ejpam-797	405	6	(	(	PUNCT
ejpam-797	405	7	)	)	PUNCT
ejpam-797	405	8	1	1	NUM
ejpam-797	405	9	,	,	PUNCT
ejpam-797	405	10	,	,	PUNCT
ejpam-797	405	11	p	p	NOUN
ejpam-797	405	12	sv	sv	PROPN
ejpam-797	405	13	v	v	ADP
ejpam-797	405	14	v	v	NUM
ejpam-797	405	15	−=	−=	PRON
ejpam-797	405	16			ADJ
ejpam-797	405	17			NOUN
ejpam-797	405	18			PROPN
ejpam-797	405	19	,	,	PUNCT
ejpam-797	405	20	normalized	normalize	VERB
ejpam-797	405	21	so	so	SCONJ
ejpam-797	405	22	that	that	SCONJ
ejpam-797	405	23	11.a	11.a	NUM
ejpam-797	405	24	p	p	X
ejpam-797	405	25	rv	rv	PROPN
ejpam-797	406	1	h	h	PROPN
ejpam-797	406	2	s	s	PROPN
ejpam-797	406	3	h	h	NOUN
ejpam-797	406	4	v	v	NOUN
ejpam-797	407	1	i⊥	i⊥	PROPN
ejpam-797	408	1	⊥	⊥	NOUN
ejpam-797	408	2	−′	−′	PROPN
ejpam-797	408	3	′	′	NUM
ejpam-797	409	1	=	=	ADJ
ejpam-797	409	2			X
ejpam-797	409	3			NOUN
ejpam-797	409	4	.	.	PUNCT
ejpam-797	410	1	then	then	ADV
ejpam-797	410	2	the	the	DET
ejpam-797	410	3	restricted	restricted	ADJ
ejpam-797	410	4	estimators	estimator	NOUN
ejpam-797	410	5	are	be	AUX
ejpam-797	410	6	(	(	PUNCT
ejpam-797	410	7	)	)	PUNCT
ejpam-797	410	8	1	1	NUM
ejpam-797	410	9	ˆ	ˆ	NOUN
ejpam-797	410	10	,	,	PUNCT
ejpam-797	410	11	,	,	PUNCT
ejpam-797	410	12	r	r	NOUN
ejpam-797	410	13	sv	sv	VERB
ejpam-797	410	14	vφ	vφ	PROPN
ejpam-797	410	15	−=	−=	X
ejpam-797	410	16			X
ejpam-797	410	17			X
ejpam-797	410	18			PROPN
ejpam-797	410	19	(	(	PUNCT
ejpam-797	410	20	51	51	NUM
ejpam-797	410	21	)	)	PUNCT
ejpam-797	410	22	1	1	NUM
ejpam-797	410	23	2	2	NUM
ejpam-797	410	24	ˆ	ˆ	NOUN
ejpam-797	410	25	ˆ	ˆ	NOUN
ejpam-797	410	26	ˆ	ˆ	NOUN
ejpam-797	410	27	ˆ	ˆ	ADV
ejpam-797	410	28	,	,	PUNCT
ejpam-797	410	29	,	,	PUNCT
ejpam-797	410	30	,	,	PUNCT
ejpam-797	410	31	h	h	NOUN
ejpam-797	410	32	h	h	NOUN
ejpam-797	410	33	hβ	hβ	INTJ
ejpam-797	410	34	β	β	X
ejpam-797	410	35	β	β	X
ejpam-797	410	36	θ	θ	NOUN
ejpam-797	410	37	φ⊥	φ⊥	ADJ
ejpam-797	410	38			NOUN
ejpam-797	410	39			PROPN
ejpam-797	410	40			NOUN
ejpam-797	410	41			NOUN
ejpam-797	410	42			NOUN
ejpam-797	410	43	=	=	X
ejpam-797	410	44	=	=	PUNCT
ejpam-797	411	1	=	=	NOUN
ejpam-797	411	2			NOUN
ejpam-797	411	3			NOUN
ejpam-797	411	4			NOUN
ejpam-797	411	5			NOUN
ejpam-797	411	6			NOUN
ejpam-797	411	7			VERB
ejpam-797	411	8	(	(	PUNCT
ejpam-797	411	9	52	52	NUM
ejpam-797	411	10	)	)	PUNCT
ejpam-797	411	11	1	1	NUM
ejpam-797	411	12	.	.	PUNCT
ejpam-797	412	1	ˆˆ	ˆˆ	PROPN
ejpam-797	413	1	k	k	PROPN
ejpam-797	413	2	aa	aa	PROPN
ejpam-797	413	3	s	s	VERB
ejpam-797	413	4	hψ	hψ	NOUN
ejpam-797	413	5	φ⊥	φ⊥	ADJ
ejpam-797	413	6	⊥′=	⊥′=	NOUN
ejpam-797	413	7	,	,	PUNCT
ejpam-797	413	8	(	(	PUNCT
ejpam-797	413	9	53	53	NUM
ejpam-797	413	10	)	)	PUNCT
ejpam-797	413	11	[	[	PUNCT
ejpam-797	413	12	]	]	X
ejpam-797	413	13	(	(	PUNCT
ejpam-797	413	14	)	)	PUNCT
ejpam-797	413	15	1	1	NUM
ejpam-797	413	16	1	1	NUM
ejpam-797	413	17	.	.	NOUN
ejpam-797	413	18	2	2	NUM
ejpam-797	413	19	ˆ	ˆ	NOUN
ejpam-797	413	20	,	,	PUNCT
ejpam-797	413	21	,	,	PUNCT
ejpam-797	413	22	,	,	PUNCT
ejpam-797	413	23	k	k	PROPN
ejpam-797	413	24	aa	aa	VERB
ejpam-797	413	25	a	a	DET
ejpam-797	413	26	a	a	DET
ejpam-797	413	27	a	a	DET
ejpam-797	413	28	a	a	DET
ejpam-797	413	29	a	a	DET
ejpam-797	413	30	a	a	NOUN
ejpam-797	413	31	a	a	DET
ejpam-797	413	32	sα	sα	NOUN
ejpam-797	413	33	τ	τ	X
ejpam-797	413	34	ψ	ψ	X
ejpam-797	413	35	β−	β−	PROPN
ejpam-797	414	1	⊥	⊥	X
ejpam-797	414	2	⊥	⊥	NOUN
ejpam-797	414	3	⊥	⊥	X
ejpam-797	414	4	⊥	⊥	X
ejpam-797	414	5	⊥	⊥	PROPN
ejpam-797	414	6			NOUN
ejpam-797	414	7	′	′	PROPN
ejpam-797	414	8	′	′	PROPN
ejpam-797	414	9	=	=	PUNCT
ejpam-797	414	10	=	=	PUNCT
ejpam-797	415	1	=	=	NOUN
ejpam-797	415	2			NOUN
ejpam-797	415	3			NOUN
ejpam-797	415	4			NOUN
ejpam-797	415	5			VERB
ejpam-797	415	6	(	(	PUNCT
ejpam-797	415	7	54	54	NUM
ejpam-797	415	8	)	)	PUNCT
ejpam-797	415	9	and	and	CCONJ
ejpam-797	415	10	the	the	DET
ejpam-797	415	11	maximized	maximized	ADJ
ejpam-797	415	12	likelihood	likelihood	NOUN
ejpam-797	415	13	function	function	NOUN
ejpam-797	415	14	,	,	PUNCT
ejpam-797	415	15	apart	apart	ADV
ejpam-797	415	16	from	from	ADP
ejpam-797	415	17	a	a	DET
ejpam-797	415	18	constant	constant	ADJ
ejpam-797	415	19	,	,	PUNCT
ejpam-797	415	20	is	be	AUX
ejpam-797	415	21	(	(	PUNCT
ejpam-797	415	22	)	)	SYM
ejpam-797	415	23	2	2	NUM
ejpam-797	415	24	max	max	NOUN
ejpam-797	415	25	1	1	NUM
ejpam-797	415	26	1	1	NUM
ejpam-797	415	27	r	r	NOUN
ejpam-797	415	28	s	s	PROPN
ejpam-797	415	29	t	t	X
ejpam-797	415	30	kk	kk	INTJ
ejpam-797	416	1	i	i	PRON
ejpam-797	417	1	i	i	VERB
ejpam-797	417	2	l	l	NOUN
ejpam-797	417	3	s	s	VERB
ejpam-797	417	4	λ	λ	X
ejpam-797	417	5	−	−	NOUN
ejpam-797	417	6	−	−	NOUN
ejpam-797	418	1	=	=	SYM
ejpam-797	418	2	=	=	PUNCT
ejpam-797	418	3	−∏	−∏	NOUN
ejpam-797	418	4			NOUN
ejpam-797	418	5	.	.	PUNCT
ejpam-797	419	1	(	(	PUNCT
ejpam-797	419	2	55	55	NUM
ejpam-797	419	3	)	)	PUNCT
ejpam-797	419	4	the	the	DET
ejpam-797	419	5	proof	proof	NOUN
ejpam-797	419	6	of	of	ADP
ejpam-797	419	7	theorem	theorem	ADJ
ejpam-797	419	8	5	5	NUM
ejpam-797	419	9	is	be	AUX
ejpam-797	419	10	in	in	ADP
ejpam-797	419	11	the	the	DET
ejpam-797	419	12	appendix	appendix	NOUN
ejpam-797	419	13	.	.	PUNCT
ejpam-797	420	1	theorem	theorem	VERB
ejpam-797	420	2	6	6	NUM
ejpam-797	420	3	.	.	PUNCT
ejpam-797	421	1	the	the	DET
ejpam-797	421	2	likelihood	likelihood	NOUN
ejpam-797	421	3	ratio	ratio	NOUN
ejpam-797	421	4	test	test	NOUN
ejpam-797	421	5	statistic	statistic	NOUN
ejpam-797	421	6	of	of	ADP
ejpam-797	421	7	the	the	DET
ejpam-797	421	8	hypothesis	hypothesis	NOUN
ejpam-797	421	9	[	[	PUNCT
ejpam-797	421	10	]	]	X
ejpam-797	421	11	[	[	PUNCT
ejpam-797	421	12	]	]	X
ejpam-797	421	13	0	0	NUM
ejpam-797	421	14	:	:	PUNCT
ejpam-797	421	15	,	,	PUNCT
ejpam-797	421	16	,	,	PUNCT
ejpam-797	421	17	,	,	PUNCT
ejpam-797	421	18	h	h	NOUN
ejpam-797	421	19	h	h	NOUN
ejpam-797	422	1	aβ	aβ	VERB
ejpam-797	422	2	θ	θ	NOUN
ejpam-797	422	3	α	α	NOUN
ejpam-797	422	4	τ=	τ=	NOUN
ejpam-797	422	5	=	=	PUNCT
ejpam-797	422	6	verses	verse	NOUN
ejpam-797	422	7	(	(	PUNCT
ejpam-797	422	8	)	)	PUNCT
ejpam-797	422	9	h	h	NOUN
ejpam-797	422	10	r	r	NOUN
ejpam-797	422	11	is	be	AUX
ejpam-797	422	12	expressed	express	VERB
ejpam-797	422	13	as	as	ADP
ejpam-797	422	14	:	:	PUNCT
ejpam-797	422	15	(	(	PUNCT
ejpam-797	422	16	)	)	PUNCT
ejpam-797	422	17	(	(	PUNCT
ejpam-797	422	18	)	)	PUNCT
ejpam-797	422	19	(	(	PUNCT
ejpam-797	422	20	)	)	PUNCT
ejpam-797	422	21	(	(	PUNCT
ejpam-797	422	22	)	)	PUNCT
ejpam-797	422	23	0	0	NUM
ejpam-797	422	24	00	00	NUM
ejpam-797	422	25	1	1	NUM
ejpam-797	422	26	1	1	NUM
ejpam-797	422	27	ˆ|	ˆ|	PROPN
ejpam-797	422	28	ln	ln	NOUN
ejpam-797	422	29	ln	ln	NOUN
ejpam-797	423	1	ln	ln	ADJ
ejpam-797	424	1	1	1	NUM
ejpam-797	424	2	ln	ln	NOUN
ejpam-797	424	3	1	1	NUM
ejpam-797	424	4	r	r	NOUN
ejpam-797	424	5	s	s	NOUN
ejpam-797	424	6	r	r	NOUN
ejpam-797	424	7	kk	kk	INTJ
ejpam-797	424	8	i	i	INTJ
ejpam-797	424	9	j	j	PROPN
ejpam-797	425	1	i	i	PRON
ejpam-797	425	2	j	j	PROPN
ejpam-797	426	1	lr	lr	INTJ
ejpam-797	426	2	h	h	NOUN
ejpam-797	426	3	h	h	NOUN
ejpam-797	426	4	r	r	NOUN
ejpam-797	426	5	t	t	PROPN
ejpam-797	426	6	s	s	NOUN
ejpam-797	426	7	s	s	PROPN
ejpam-797	426	8	λ	λ	X
ejpam-797	426	9	λ	λ	NOUN
ejpam-797	426	10	−	−	NOUN
ejpam-797	427	1	=	=	PUNCT
ejpam-797	427	2	=	=	PUNCT
ejpam-797	427	3			PRON
ejpam-797	427	4			NOUN
ejpam-797	427	5	=	=	PUNCT
ejpam-797	428	1	−	−	PROPN
ejpam-797	429	1	+	+	CCONJ
ejpam-797	429	2	−	−	PROPN
ejpam-797	429	3	−	−	PROPN
ejpam-797	429	4	−	−	PUNCT
ejpam-797	429	5			PROPN
ejpam-797	429	6			ADJ
ejpam-797	429	7			NOUN
ejpam-797	429	8	∑	∑	X
ejpam-797	429	9	∑	∑	NOUN
ejpam-797	429	10	,	,	PUNCT
ejpam-797	429	11	(	(	PUNCT
ejpam-797	429	12	56	56	NUM
ejpam-797	429	13	)	)	PUNCT
ejpam-797	429	14	where	where	SCONJ
ejpam-797	429	15	{	{	PUNCT
ejpam-797	429	16	}	}	PUNCT
ejpam-797	429	17	1,î	1,î	NUM
ejpam-797	430	1	i	i	NOUN
ejpam-797	430	2	r	r	NOUN
ejpam-797	430	3	λ	λ	NOUN
ejpam-797	430	4	=	=	PRON
ejpam-797	430	5	are	be	AUX
ejpam-797	430	6	from	from	ADP
ejpam-797	430	7	the	the	DET
ejpam-797	430	8	unrestricted	unrestricted	ADJ
ejpam-797	430	9	maximized	maximized	ADJ
ejpam-797	430	10	likelihood	likelihood	NOUN
ejpam-797	430	11	in	in	ADP
ejpam-797	430	12	(	(	PUNCT
ejpam-797	430	13	15	15	NUM
ejpam-797	430	14	)	)	PUNCT
ejpam-797	430	15	,	,	PUNCT
ejpam-797	430	16	and	and	CCONJ
ejpam-797	430	17	is	be	AUX
ejpam-797	430	18	asymptotically	asymptotically	ADV
ejpam-797	430	19	distributed	distribute	VERB
ejpam-797	430	20	as	as	ADP
ejpam-797	430	21	2χ	2χ	NUM
ejpam-797	430	22	with	with	ADP
ejpam-797	430	23	2ps	2ps	ADJ
ejpam-797	430	24	-	-	PUNCT
ejpam-797	430	25	s	s	NOUN
ejpam-797	430	26	2	2	NUM
ejpam-797	430	27	degrees	degree	NOUN
ejpam-797	430	28	of	of	ADP
ejpam-797	430	29	freedom	freedom	NOUN
ejpam-797	430	30	.	.	PUNCT
ejpam-797	431	1	the	the	DET
ejpam-797	431	2	proof	proof	NOUN
ejpam-797	431	3	of	of	ADP
ejpam-797	431	4	theorem	theorem	NOUN
ejpam-797	431	5	6	6	NUM
ejpam-797	431	6	is	be	AUX
ejpam-797	431	7	in	in	ADP
ejpam-797	431	8	the	the	DET
ejpam-797	431	9	appendix	appendix	NOUN
ejpam-797	431	10	.	.	PUNCT
ejpam-797	432	1	4	4	X
ejpam-797	432	2	.	.	X
ejpam-797	432	3	testing	test	VERB
ejpam-797	432	4	restrictions	restriction	NOUN
ejpam-797	432	5	on	on	ADP
ejpam-797	432	6	α	α	PROPN
ejpam-797	432	7	⊥	⊥	PROPN
ejpam-797	432	8	and	and	CCONJ
ejpam-797	432	9	β	β	X
ejpam-797	432	10	⊥	⊥	NOUN
ejpam-797	432	11	separating	separate	VERB
ejpam-797	432	12	an	an	DET
ejpam-797	432	13	economic	economic	ADJ
ejpam-797	432	14	time	time	NOUN
ejpam-797	432	15	series	series	NOUN
ejpam-797	432	16	into	into	ADP
ejpam-797	432	17	permanent	permanent	ADJ
ejpam-797	432	18	(	(	PUNCT
ejpam-797	432	19	long	long	ADJ
ejpam-797	432	20	run	run	NOUN
ejpam-797	432	21	)	)	PUNCT
ejpam-797	432	22	components	component	NOUN
ejpam-797	432	23	and	and	CCONJ
ejpam-797	432	24	cyclical	cyclical	ADJ
ejpam-797	432	25	(	(	PUNCT
ejpam-797	432	26	short	short	ADJ
ejpam-797	432	27	run	run	NOUN
ejpam-797	432	28	,	,	PUNCT
ejpam-797	432	29	temporary	temporary	ADJ
ejpam-797	432	30	,	,	PUNCT
ejpam-797	432	31	transitory	transitory	ADJ
ejpam-797	432	32	)	)	PUNCT
ejpam-797	432	33	components	component	NOUN
ejpam-797	432	34	has	have	AUX
ejpam-797	432	35	been	be	AUX
ejpam-797	432	36	used	use	VERB
ejpam-797	432	37	in	in	ADP
ejpam-797	432	38	many	many	ADJ
ejpam-797	432	39	contexts	context	NOUN
ejpam-797	432	40	in	in	ADP
ejpam-797	432	41	economics	economic	NOUN
ejpam-797	432	42	.	.	PUNCT
ejpam-797	433	1	methods	method	NOUN
ejpam-797	433	2	proposed	propose	VERB
ejpam-797	433	3	include	include	VERB
ejpam-797	433	4	decomposing	decompose	VERB
ejpam-797	433	5	the	the	DET
ejpam-797	433	6	series	series	NOUN
ejpam-797	433	7	into	into	ADP
ejpam-797	433	8	a	a	DET
ejpam-797	433	9	deterministic	deterministic	ADJ
ejpam-797	433	10	trend	trend	NOUN
ejpam-797	433	11	component	component	NOUN
ejpam-797	433	12	and	and	CCONJ
ejpam-797	433	13	a	a	DET
ejpam-797	433	14	stationary	stationary	ADJ
ejpam-797	433	15	cyclical	cyclical	ADJ
ejpam-797	433	16	component	component	NOUN
ejpam-797	433	17	.	.	PUNCT
ejpam-797	434	1	muth	muth	PROPN
ejpam-797	435	1	[	[	X
ejpam-797	435	2	33	33	NUM
ejpam-797	435	3	]	]	PUNCT
ejpam-797	435	4	uses	use	VERB
ejpam-797	435	5	the	the	DET
ejpam-797	435	6	long	long	ADV
ejpam-797	435	7	-	-	PUNCT
ejpam-797	435	8	run	run	VERB
ejpam-797	435	9	forecast	forecast	NOUN
ejpam-797	435	10	of	of	ADP
ejpam-797	435	11	a	a	DET
ejpam-797	435	12	geometric	geometric	ADJ
ejpam-797	435	13	distributed	distribute	VERB
ejpam-797	435	14	lag	lag	NOUN
ejpam-797	435	15	,	,	PUNCT
ejpam-797	435	16	that	that	ADV
ejpam-797	435	17	is	is	ADV
ejpam-797	435	18	,	,	PUNCT
ejpam-797	435	19	the	the	DET
ejpam-797	435	20	permanent	permanent	ADJ
ejpam-797	435	21	component	component	NOUN
ejpam-797	435	22	is	be	AUX
ejpam-797	435	23	the	the	DET
ejpam-797	435	24	long	long	ADV
ejpam-797	435	25	-	-	PUNCT
ejpam-797	435	26	run	run	VERB
ejpam-797	435	27	forecast	forecast	NOUN
ejpam-797	435	28	after	after	ADP
ejpam-797	435	29	the	the	DET
ejpam-797	435	30	dynamics	dynamic	NOUN
ejpam-797	435	31	(	(	PUNCT
ejpam-797	435	32	modeled	model	VERB
ejpam-797	435	33	as	as	ADP
ejpam-797	435	34	a	a	DET
ejpam-797	435	35	distributed	distribute	VERB
ejpam-797	435	36	lag	lag	NOUN
ejpam-797	435	37	)	)	PUNCT
ejpam-797	435	38	have	have	AUX
ejpam-797	435	39	run	run	VERB
ejpam-797	435	40	their	their	PRON
ejpam-797	435	41	course	course	NOUN
ejpam-797	435	42	.	.	PUNCT
ejpam-797	436	1	beveridge	beveridge	NOUN
ejpam-797	436	2	and	and	CCONJ
ejpam-797	436	3	nelson	nelson	PROPN
ejpam-797	437	1	[	[	X
ejpam-797	437	2	1	1	X
ejpam-797	437	3	]	]	PUNCT
ejpam-797	437	4	use	use	VERB
ejpam-797	437	5	the	the	DET
ejpam-797	437	6	wold	wold	NOUN
ejpam-797	437	7	[	[	X
ejpam-797	437	8	47	47	NUM
ejpam-797	437	9	]	]	PUNCT
ejpam-797	437	10	decomposition	decomposition	NOUN
ejpam-797	437	11	to	to	PART
ejpam-797	437	12	generalize	generalize	VERB
ejpam-797	437	13	this	this	PRON
ejpam-797	437	14	to	to	ADP
ejpam-797	437	15	arima	arima	NOUN
ejpam-797	437	16	models	model	NOUN
ejpam-797	437	17	,	,	PUNCT
ejpam-797	437	18	defining	define	VERB
ejpam-797	437	19	the	the	DET
ejpam-797	437	20	permanent	permanent	ADJ
ejpam-797	437	21	component	component	NOUN
ejpam-797	437	22	to	to	PART
ejpam-797	437	23	be	be	AUX
ejpam-797	437	24	a	a	DET
ejpam-797	437	25	multiple	multiple	NOUN
ejpam-797	437	26	of	of	ADP
ejpam-797	437	27	the	the	DET
ejpam-797	437	28	random	random	ADJ
ejpam-797	437	29	walk	walk	NOUN
ejpam-797	437	30	component	component	NOUN
ejpam-797	437	31	of	of	ADP
ejpam-797	437	32	the	the	DET
ejpam-797	437	33	series	series	NOUN
ejpam-797	437	34	.	.	PUNCT
ejpam-797	438	1	this	this	DET
ejpam-797	438	2	method	method	NOUN
ejpam-797	438	3	,	,	PUNCT
ejpam-797	438	4	too	too	ADV
ejpam-797	438	5	,	,	PUNCT
ejpam-797	438	6	implies	imply	VERB
ejpam-797	438	7	that	that	SCONJ
ejpam-797	438	8	the	the	DET
ejpam-797	438	9	permanent	permanent	ADJ
ejpam-797	438	10	component	component	NOUN
ejpam-797	438	11	of	of	ADP
ejpam-797	438	12	the	the	DET
ejpam-797	438	13	series	series	NOUN
ejpam-797	438	14	in	in	ADP
ejpam-797	438	15	period	period	NOUN
ejpam-797	438	16	t	t	PROPN
ejpam-797	438	17	is	be	AUX
ejpam-797	438	18	the	the	DET
ejpam-797	438	19	long	long	ADV
ejpam-797	438	20	-	-	PUNCT
ejpam-797	438	21	run	run	VERB
ejpam-797	438	22	forecast	forecast	NOUN
ejpam-797	438	23	of	of	ADP
ejpam-797	438	24	the	the	DET
ejpam-797	438	25	time	time	NOUN
ejpam-797	438	26	series	series	NOUN
ejpam-797	438	27	made	make	VERB
ejpam-797	438	28	in	in	ADP
ejpam-797	438	29	period	period	NOUN
ejpam-797	438	30	t.	t.	PROPN
ejpam-797	438	31	watson	watson	PROPN
ejpam-797	439	1	[	[	X
ejpam-797	439	2	44	44	NUM
ejpam-797	439	3	]	]	PUNCT
ejpam-797	439	4	uses	use	VERB
ejpam-797	439	5	unobserved	unobserved	ADJ
ejpam-797	439	6	components	component	NOUN
ejpam-797	439	7	arima	arima	NOUN
ejpam-797	439	8	models	model	NOUN
ejpam-797	439	9	based	base	VERB
ejpam-797	439	10	on	on	ADP
ejpam-797	439	11	watson	watson	PROPN
ejpam-797	439	12	and	and	CCONJ
ejpam-797	439	13	engle	engle	PROPN
ejpam-797	439	14	’s	’s	PART
ejpam-797	440	1	[	[	X
ejpam-797	440	2	46	46	NUM
ejpam-797	440	3	]	]	PUNCT
ejpam-797	440	4	methods	method	NOUN
ejpam-797	440	5	.	.	PUNCT
ejpam-797	441	1	quah	quah	PROPN
ejpam-797	442	1	[	[	X
ejpam-797	442	2	37	37	NUM
ejpam-797	442	3	]	]	PUNCT
ejpam-797	442	4	develops	develop	VERB
ejpam-797	442	5	a	a	DET
ejpam-797	442	6	permanent	permanent	ADJ
ejpam-797	442	7	-	-	PUNCT
ejpam-797	442	8	transitory	transitory	ADJ
ejpam-797	442	9	(	(	PUNCT
ejpam-797	442	10	p	p	NOUN
ejpam-797	442	11	-	-	PUNCT
ejpam-797	442	12	t	t	NOUN
ejpam-797	442	13	)	)	PUNCT
ejpam-797	442	14	n.	n.	PROPN
ejpam-797	442	15	morin	morin	PROPN
ejpam-797	442	16	/	/	SYM
ejpam-797	442	17	eur	eur	PROPN
ejpam-797	442	18	.	.	PUNCT
ejpam-797	443	1	j.	j.	PROPN
ejpam-797	443	2	pure	pure	PROPN
ejpam-797	443	3	appl	appl	PROPN
ejpam-797	443	4	.	.	PUNCT
ejpam-797	444	1	math	math	NOUN
ejpam-797	444	2	553	553	NUM
ejpam-797	444	3	decomposition	decomposition	NOUN
ejpam-797	444	4	to	to	PART
ejpam-797	444	5	derive	derive	VERB
ejpam-797	444	6	lower	low	ADJ
ejpam-797	444	7	bounds	bound	NOUN
ejpam-797	444	8	for	for	ADP
ejpam-797	444	9	the	the	DET
ejpam-797	444	10	relative	relative	ADJ
ejpam-797	444	11	size	size	NOUN
ejpam-797	444	12	of	of	ADP
ejpam-797	444	13	the	the	DET
ejpam-797	444	14	permanent	permanent	ADJ
ejpam-797	444	15	component	component	NOUN
ejpam-797	444	16	of	of	ADP
ejpam-797	444	17	a	a	DET
ejpam-797	444	18	series	series	NOUN
ejpam-797	444	19	and	and	CCONJ
ejpam-797	444	20	showed	show	VERB
ejpam-797	444	21	that	that	SCONJ
ejpam-797	444	22	restricting	restrict	VERB
ejpam-797	444	23	it	it	PRON
ejpam-797	444	24	to	to	PART
ejpam-797	444	25	be	be	AUX
ejpam-797	444	26	a	a	DET
ejpam-797	444	27	random	random	ADJ
ejpam-797	444	28	walk	walk	NOUN
ejpam-797	444	29	maximizes	maximize	VERB
ejpam-797	444	30	the	the	DET
ejpam-797	444	31	size	size	NOUN
ejpam-797	444	32	of	of	ADP
ejpam-797	444	33	the	the	DET
ejpam-797	444	34	lower	lower	ADV
ejpam-797	444	35	bound	bind	VERB
ejpam-797	444	36	.	.	PUNCT
ejpam-797	445	1	sims	sim	NOUN
ejpam-797	446	1	[	[	X
ejpam-797	446	2	40	40	NUM
ejpam-797	446	3	]	]	PUNCT
ejpam-797	446	4	introduced	introduce	VERB
ejpam-797	446	5	vector	vector	NOUN
ejpam-797	446	6	autoregressions	autoregression	NOUN
ejpam-797	446	7	to	to	ADP
ejpam-797	446	8	empirical	empirical	ADJ
ejpam-797	446	9	economics	economic	NOUN
ejpam-797	446	10	as	as	ADP
ejpam-797	446	11	a	a	DET
ejpam-797	446	12	flexible	flexible	ADJ
ejpam-797	446	13	multivariate	multivariate	NOUN
ejpam-797	446	14	dynamic	dynamic	ADJ
ejpam-797	446	15	framework	framework	NOUN
ejpam-797	446	16	to	to	PART
ejpam-797	446	17	which	which	PRON
ejpam-797	446	18	the	the	DET
ejpam-797	446	19	beveridge	beveridge	NOUN
ejpam-797	446	20	-	-	PUNCT
ejpam-797	446	21	nelson	nelson	NOUN
ejpam-797	447	1	[	[	X
ejpam-797	447	2	1	1	NUM
ejpam-797	447	3	]	]	PUNCT
ejpam-797	447	4	decomposition	decomposition	NOUN
ejpam-797	447	5	can	can	AUX
ejpam-797	447	6	be	be	AUX
ejpam-797	447	7	extended	extend	VERB
ejpam-797	447	8	(	(	PUNCT
ejpam-797	447	9	see	see	VERB
ejpam-797	447	10	[	[	X
ejpam-797	447	11	42	42	NUM
ejpam-797	447	12	]	]	PUNCT
ejpam-797	447	13	)	)	PUNCT
ejpam-797	447	14	.	.	PUNCT
ejpam-797	448	1	in	in	ADP
ejpam-797	448	2	cointegrated	cointegrate	VERB
ejpam-797	448	3	systems	system	NOUN
ejpam-797	448	4	,	,	PUNCT
ejpam-797	448	5	several	several	ADJ
ejpam-797	448	6	methods	method	NOUN
ejpam-797	448	7	have	have	AUX
ejpam-797	448	8	been	be	AUX
ejpam-797	448	9	proposed	propose	VERB
ejpam-797	448	10	to	to	PART
ejpam-797	448	11	decompose	decompose	VERB
ejpam-797	448	12	the	the	DET
ejpam-797	448	13	individual	individual	ADJ
ejpam-797	448	14	time	time	NOUN
ejpam-797	448	15	series	series	PROPN
ejpam-797	448	16	into	into	ADP
ejpam-797	448	17	their	their	PRON
ejpam-797	448	18	permanent	permanent	ADJ
ejpam-797	448	19	and	and	CCONJ
ejpam-797	448	20	cyclical	cyclical	ADJ
ejpam-797	448	21	components	component	NOUN
ejpam-797	448	22	.	.	PUNCT
ejpam-797	449	1	the	the	DET
ejpam-797	449	2	importance	importance	NOUN
ejpam-797	449	3	of	of	ADP
ejpam-797	449	4	multivariate	multivariate	NOUN
ejpam-797	449	5	information	information	NOUN
ejpam-797	449	6	sets	set	NOUN
ejpam-797	449	7	for	for	ADP
ejpam-797	449	8	this	this	DET
ejpam-797	449	9	sort	sort	NOUN
ejpam-797	449	10	of	of	ADP
ejpam-797	449	11	analysis	analysis	NOUN
ejpam-797	449	12	is	be	AUX
ejpam-797	449	13	argued	argue	VERB
ejpam-797	449	14	in	in	ADP
ejpam-797	449	15	cochrane	cochrane	NOUN
ejpam-797	449	16	[	[	X
ejpam-797	449	17	3	3	NUM
ejpam-797	449	18	]	]	PUNCT
ejpam-797	449	19	.	.	PUNCT
ejpam-797	450	1	stock	stock	NOUN
ejpam-797	450	2	and	and	CCONJ
ejpam-797	450	3	watson	watson	PROPN
ejpam-797	451	1	[	[	X
ejpam-797	451	2	42	42	NUM
ejpam-797	451	3	]	]	PUNCT
ejpam-797	451	4	,	,	PUNCT
ejpam-797	451	5	johansen	johansen	PROPN
ejpam-797	452	1	[	[	X
ejpam-797	452	2	20	20	NUM
ejpam-797	452	3	]	]	PUNCT
ejpam-797	452	4	,	,	PUNCT
ejpam-797	452	5	and	and	CCONJ
ejpam-797	452	6	granger	granger	PROPN
ejpam-797	452	7	and	and	CCONJ
ejpam-797	452	8	gonzalo	gonzalo	PROPN
ejpam-797	453	1	[	[	X
ejpam-797	453	2	12	12	NUM
ejpam-797	453	3	]	]	PUNCT
ejpam-797	453	4	split	split	VERB
ejpam-797	453	5	a	a	DET
ejpam-797	453	6	system	system	NOUN
ejpam-797	453	7	of	of	ADP
ejpam-797	453	8	p	p	NOUN
ejpam-797	453	9	cointegrated	cointegrate	VERB
ejpam-797	453	10	time	time	NOUN
ejpam-797	453	11	series	series	NOUN
ejpam-797	453	12	into	into	ADP
ejpam-797	453	13	p	p	NOUN
ejpam-797	453	14	-	-	PUNCT
ejpam-797	453	15	r	r	NOUN
ejpam-797	453	16	common	common	ADJ
ejpam-797	453	17	stochastic	stochastic	ADJ
ejpam-797	453	18	trends	trend	NOUN
ejpam-797	453	19	(	(	PUNCT
ejpam-797	453	20	where	where	SCONJ
ejpam-797	453	21	r	r	NOUN
ejpam-797	453	22	is	be	AUX
ejpam-797	453	23	the	the	DET
ejpam-797	453	24	number	number	NOUN
ejpam-797	453	25	of	of	ADP
ejpam-797	453	26	cointegrating	cointegrate	VERB
ejpam-797	453	27	relationships	relationship	NOUN
ejpam-797	453	28	)	)	PUNCT
ejpam-797	453	29	,	,	PUNCT
ejpam-797	453	30	linear	linear	ADJ
ejpam-797	453	31	combinations	combination	NOUN
ejpam-797	453	32	of	of	ADP
ejpam-797	453	33	which	which	PRON
ejpam-797	453	34	form	form	VERB
ejpam-797	453	35	the	the	DET
ejpam-797	453	36	permanent	permanent	ADJ
ejpam-797	453	37	components	component	NOUN
ejpam-797	453	38	of	of	ADP
ejpam-797	453	39	the	the	DET
ejpam-797	453	40	individual	individual	ADJ
ejpam-797	453	41	time	time	NOUN
ejpam-797	453	42	series	series	PROPN
ejpam-797	453	43	.	.	PUNCT
ejpam-797	454	1	the	the	DET
ejpam-797	454	2	cyclical	cyclical	ADJ
ejpam-797	454	3	components	component	NOUN
ejpam-797	454	4	are	be	AUX
ejpam-797	454	5	some	some	DET
ejpam-797	454	6	combination	combination	NOUN
ejpam-797	454	7	of	of	ADP
ejpam-797	454	8	the	the	DET
ejpam-797	454	9	cointegrating	cointegrate	VERB
ejpam-797	454	10	relationships	relationship	NOUN
ejpam-797	454	11	,	,	PUNCT
ejpam-797	454	12	plus	plus	CCONJ
ejpam-797	454	13	,	,	PUNCT
ejpam-797	454	14	if	if	SCONJ
ejpam-797	454	15	the	the	DET
ejpam-797	454	16	common	common	ADJ
ejpam-797	454	17	stochastic	stochastic	ADJ
ejpam-797	454	18	trends	trend	NOUN
ejpam-797	454	19	are	be	AUX
ejpam-797	454	20	assumed	assume	VERB
ejpam-797	454	21	to	to	PART
ejpam-797	454	22	be	be	AUX
ejpam-797	454	23	random	random	ADJ
ejpam-797	454	24	walks	walk	NOUN
ejpam-797	454	25	,	,	PUNCT
ejpam-797	454	26	other	other	ADJ
ejpam-797	454	27	stationary	stationary	ADJ
ejpam-797	454	28	components	component	NOUN
ejpam-797	454	29	.	.	PUNCT
ejpam-797	455	1	see	see	VERB
ejpam-797	455	2	[	[	X
ejpam-797	455	3	36	36	NUM
ejpam-797	455	4	]	]	PUNCT
ejpam-797	455	5	for	for	ADP
ejpam-797	455	6	a	a	DET
ejpam-797	455	7	discussion	discussion	NOUN
ejpam-797	455	8	of	of	ADP
ejpam-797	455	9	the	the	DET
ejpam-797	455	10	relationship	relationship	NOUN
ejpam-797	455	11	among	among	ADP
ejpam-797	455	12	these	these	DET
ejpam-797	455	13	definitions	definition	NOUN
ejpam-797	455	14	and	and	CCONJ
ejpam-797	455	15	with	with	ADP
ejpam-797	455	16	the	the	DET
ejpam-797	455	17	notion	notion	NOUN
ejpam-797	455	18	of	of	ADP
ejpam-797	455	19	common	common	ADJ
ejpam-797	455	20	features	feature	NOUN
ejpam-797	455	21	by	by	ADP
ejpam-797	455	22	vahid	vahid	PROPN
ejpam-797	455	23	and	and	CCONJ
ejpam-797	455	24	engle	engle	PROPN
ejpam-797	456	1	[	[	X
ejpam-797	456	2	43	43	NUM
ejpam-797	456	3	]	]	PUNCT
ejpam-797	456	4	and	and	CCONJ
ejpam-797	456	5	engle	engle	PROPN
ejpam-797	456	6	and	and	CCONJ
ejpam-797	456	7	kozicki	kozicki	NOUN
ejpam-797	457	1	[	[	X
ejpam-797	457	2	8	8	NUM
ejpam-797	457	3	]	]	PUNCT
ejpam-797	457	4	.	.	PUNCT
ejpam-797	458	1	the	the	DET
ejpam-797	458	2	orthogonal	orthogonal	ADJ
ejpam-797	458	3	complements	complement	NOUN
ejpam-797	458	4	of	of	ADP
ejpam-797	458	5	β	β	NOUN
ejpam-797	458	6	and	and	CCONJ
ejpam-797	458	7	α	α	PROPN
ejpam-797	458	8	are	be	AUX
ejpam-797	458	9	used	use	VERB
ejpam-797	458	10	to	to	PART
ejpam-797	458	11	construct	construct	VERB
ejpam-797	458	12	the	the	DET
ejpam-797	458	13	common	common	ADJ
ejpam-797	458	14	stochastic	stochastic	ADJ
ejpam-797	458	15	trends	trend	NOUN
ejpam-797	458	16	and	and	CCONJ
ejpam-797	458	17	the	the	DET
ejpam-797	458	18	permanent	permanent	ADJ
ejpam-797	458	19	components	component	NOUN
ejpam-797	458	20	of	of	ADP
ejpam-797	458	21	a	a	DET
ejpam-797	458	22	cointegrated	cointegrate	VERB
ejpam-797	458	23	model	model	NOUN
ejpam-797	458	24	.	.	PUNCT
ejpam-797	459	1	kasa	kasa	PROPN
ejpam-797	460	1	[	[	X
ejpam-797	460	2	27	27	NUM
ejpam-797	460	3	]	]	PUNCT
ejpam-797	460	4	proposes	propose	VERB
ejpam-797	460	5	txβ⊥′	txβ⊥′	PROPN
ejpam-797	460	6	as	as	ADP
ejpam-797	460	7	the	the	DET
ejpam-797	460	8	p	p	NOUN
ejpam-797	460	9	-	-	PUNCT
ejpam-797	460	10	r	r	NOUN
ejpam-797	460	11	common	common	ADJ
ejpam-797	460	12	stochastic	stochastic	ADJ
ejpam-797	460	13	trends	trend	NOUN
ejpam-797	460	14	and	and	CCONJ
ejpam-797	460	15	(	(	PUNCT
ejpam-797	460	16	)	)	PUNCT
ejpam-797	460	17	1	1	NUM
ejpam-797	460	18	txβ	txβ	NOUN
ejpam-797	460	19	β	β	X
ejpam-797	460	20	β	β	X
ejpam-797	460	21	β−	β−	PROPN
ejpam-797	461	1	⊥	⊥	X
ejpam-797	461	2	⊥	⊥	X
ejpam-797	461	3	⊥	⊥	ADJ
ejpam-797	461	4	⊥′	⊥′	PROPN
ejpam-797	461	5	′	′	NUM
ejpam-797	461	6	as	as	ADP
ejpam-797	461	7	the	the	DET
ejpam-797	461	8	permanent	permanent	ADJ
ejpam-797	461	9	components	component	NOUN
ejpam-797	461	10	of	of	ADP
ejpam-797	461	11	the	the	DET
ejpam-797	461	12	individual	individual	ADJ
ejpam-797	461	13	variables	variable	NOUN
ejpam-797	461	14	in	in	ADP
ejpam-797	461	15	the	the	DET
ejpam-797	461	16	system	system	NOUN
ejpam-797	461	17	.	.	PUNCT
ejpam-797	462	1	gonzalo	gonzalo	PROPN
ejpam-797	462	2	and	and	CCONJ
ejpam-797	462	3	granger	granger	PROPN
ejpam-797	463	1	[	[	X
ejpam-797	463	2	12	12	NUM
ejpam-797	463	3	]	]	X
ejpam-797	463	4	propose	propose	VERB
ejpam-797	463	5	txα⊥′	txα⊥′	PROPN
ejpam-797	463	6	as	as	ADP
ejpam-797	463	7	the	the	DET
ejpam-797	463	8	common	common	ADJ
ejpam-797	463	9	stochastic	stochastic	ADJ
ejpam-797	463	10	trends	trend	NOUN
ejpam-797	463	11	in	in	ADP
ejpam-797	463	12	the	the	DET
ejpam-797	463	13	system	system	NOUN
ejpam-797	463	14	and	and	CCONJ
ejpam-797	463	15	(	(	PUNCT
ejpam-797	463	16	)	)	PUNCT
ejpam-797	463	17	1	1	NUM
ejpam-797	463	18	txβ	txβ	NOUN
ejpam-797	463	19	α	α	X
ejpam-797	463	20	β	β	X
ejpam-797	463	21	α−	α−	ADP
ejpam-797	463	22	⊥	⊥	PROPN
ejpam-797	463	23	⊥	⊥	PROPN
ejpam-797	464	1	⊥	⊥	ADJ
ejpam-797	464	2	⊥′	⊥′	PROPN
ejpam-797	464	3	′	′	NUM
ejpam-797	464	4	as	as	ADP
ejpam-797	464	5	the	the	DET
ejpam-797	464	6	permanent	permanent	ADJ
ejpam-797	464	7	components	component	NOUN
ejpam-797	464	8	;	;	PUNCT
ejpam-797	464	9	johansen	johansen	PROPN
ejpam-797	464	10	[	[	X
ejpam-797	464	11	22	22	NUM
ejpam-797	464	12	]	]	PUNCT
ejpam-797	464	13	proposes	propose	VERB
ejpam-797	464	14	the	the	DET
ejpam-797	464	15	random	random	ADJ
ejpam-797	464	16	walks	walk	NOUN
ejpam-797	464	17	(	(	PUNCT
ejpam-797	464	18	)	)	PUNCT
ejpam-797	464	19	tl	tl	PROPN
ejpam-797	464	20	xα⊥′	xα⊥′	PROPN
ejpam-797	464	21	γ	γ	PROPN
ejpam-797	464	22	as	as	ADP
ejpam-797	464	23	the	the	DET
ejpam-797	464	24	common	common	ADJ
ejpam-797	464	25	stochastic	stochastic	ADJ
ejpam-797	464	26	trends	trend	NOUN
ejpam-797	464	27	and	and	CCONJ
ejpam-797	464	28	random	random	ADJ
ejpam-797	464	29	walks	walk	NOUN
ejpam-797	464	30	(	(	PUNCT
ejpam-797	464	31	)	)	PUNCT
ejpam-797	464	32	(	(	PUNCT
ejpam-797	464	33	)	)	PUNCT
ejpam-797	464	34	(	(	PUNCT
ejpam-797	464	35	)	)	SYM
ejpam-797	464	36	1	1	NUM
ejpam-797	464	37	1	1	NUM
ejpam-797	464	38	tl	tl	PROPN
ejpam-797	464	39	xβ	xβ	PROPN
ejpam-797	464	40	α	α	PROPN
ejpam-797	464	41	β	β	VERB
ejpam-797	464	42	α	α	NOUN
ejpam-797	464	43	−	−	PROPN
ejpam-797	465	1	⊥	⊥	PROPN
ejpam-797	465	2	⊥	⊥	PROPN
ejpam-797	465	3	⊥	⊥	X
ejpam-797	465	4	⊥′	⊥′	PROPN
ejpam-797	465	5	′γ	′γ	VERB
ejpam-797	465	6	γ	γ	NOUN
ejpam-797	465	7	as	as	ADP
ejpam-797	465	8	the	the	DET
ejpam-797	465	9	permanent	permanent	ADJ
ejpam-797	465	10	components	component	NOUN
ejpam-797	465	11	.	.	PUNCT
ejpam-797	466	1	there	there	PRON
ejpam-797	466	2	is	be	VERB
ejpam-797	466	3	no	no	DET
ejpam-797	466	4	econometric	econometric	ADJ
ejpam-797	466	5	reason	reason	NOUN
ejpam-797	466	6	why	why	SCONJ
ejpam-797	466	7	one	one	NUM
ejpam-797	466	8	definition	definition	NOUN
ejpam-797	466	9	of	of	ADP
ejpam-797	466	10	a	a	DET
ejpam-797	466	11	common	common	ADJ
ejpam-797	466	12	stochastic	stochastic	ADJ
ejpam-797	466	13	trend	trend	NOUN
ejpam-797	466	14	and	and	CCONJ
ejpam-797	466	15	permanent	permanent	ADJ
ejpam-797	466	16	component	component	NOUN
ejpam-797	466	17	is	be	AUX
ejpam-797	466	18	necessarily	necessarily	ADV
ejpam-797	466	19	any	any	PRON
ejpam-797	466	20	better	well	ADJ
ejpam-797	466	21	than	than	ADP
ejpam-797	466	22	another	another	PRON
ejpam-797	466	23	;	;	PUNCT
ejpam-797	466	24	one	one	PRON
ejpam-797	466	25	needs	need	VERB
ejpam-797	466	26	economic	economic	ADJ
ejpam-797	466	27	justifications	justification	NOUN
ejpam-797	466	28	to	to	PART
ejpam-797	466	29	choose	choose	VERB
ejpam-797	466	30	among	among	ADP
ejpam-797	466	31	them	they	PRON
ejpam-797	466	32	.	.	PUNCT
ejpam-797	467	1	one	one	NUM
ejpam-797	467	2	interpretation	interpretation	NOUN
ejpam-797	467	3	of	of	ADP
ejpam-797	467	4	the	the	DET
ejpam-797	467	5	cointegrating	cointegrate	VERB
ejpam-797	467	6	relationships	relationship	NOUN
ejpam-797	467	7	,	,	PUNCT
ejpam-797	467	8	β	β	X
ejpam-797	467	9	,	,	PUNCT
ejpam-797	467	10	derived	derive	VERB
ejpam-797	467	11	from	from	ADP
ejpam-797	467	12	johansen	johansen	PROPN
ejpam-797	467	13	’s	’s	PART
ejpam-797	467	14	methodology	methodology	NOUN
ejpam-797	467	15	is	be	AUX
ejpam-797	467	16	that	that	SCONJ
ejpam-797	467	17	they	they	PRON
ejpam-797	467	18	are	be	AUX
ejpam-797	467	19	the	the	DET
ejpam-797	467	20	r	r	NOUN
ejpam-797	467	21	maximally	maximally	ADV
ejpam-797	467	22	canonically	canonically	ADV
ejpam-797	467	23	correlated	correlate	VERB
ejpam-797	467	24	linear	linear	ADJ
ejpam-797	467	25	combinations	combination	NOUN
ejpam-797	467	26	of	of	ADP
ejpam-797	467	27	tx∆	tx∆	NOUN
ejpam-797	467	28	and	and	CCONJ
ejpam-797	467	29	1tx	1tx	ADJ
ejpam-797	467	30	−	−	PROPN
ejpam-797	467	31	.	.	PUNCT
ejpam-797	468	1	so	so	ADV
ejpam-797	468	2	,	,	PUNCT
ejpam-797	468	3	kasa	kasa	PROPN
ejpam-797	468	4	’s	’s	PART
ejpam-797	468	5	common	common	ADJ
ejpam-797	468	6	stochastic	stochastic	ADJ
ejpam-797	468	7	trends	trend	NOUN
ejpam-797	468	8	would	would	AUX
ejpam-797	468	9	be	be	AUX
ejpam-797	468	10	the	the	DET
ejpam-797	468	11	pr	pr	NOUN
ejpam-797	468	12	minimally	minimally	ADV
ejpam-797	468	13	canonically	canonically	ADV
ejpam-797	468	14	correlated	correlate	VERB
ejpam-797	468	15	linear	linear	ADJ
ejpam-797	468	16	combinations	combination	NOUN
ejpam-797	468	17	;	;	PUNCT
ejpam-797	468	18	there	there	PRON
ejpam-797	468	19	,	,	PUNCT
ejpam-797	468	20	however	however	ADV
ejpam-797	468	21	,	,	PUNCT
ejpam-797	468	22	is	be	AUX
ejpam-797	468	23	no	no	DET
ejpam-797	468	24	strong	strong	ADJ
ejpam-797	468	25	economic	economic	ADJ
ejpam-797	468	26	justification	justification	NOUN
ejpam-797	468	27	for	for	ADP
ejpam-797	468	28	choosing	choose	VERB
ejpam-797	468	29	these	these	DET
ejpam-797	468	30	linear	linear	ADJ
ejpam-797	468	31	combinations	combination	NOUN
ejpam-797	468	32	as	as	ADP
ejpam-797	468	33	the	the	DET
ejpam-797	468	34	common	common	ADJ
ejpam-797	468	35	stochastic	stochastic	ADJ
ejpam-797	468	36	trends	trend	NOUN
ejpam-797	468	37	.	.	PUNCT
ejpam-797	469	1	the	the	DET
ejpam-797	469	2	gonzalo	gonzalo	PROPN
ejpam-797	469	3	and	and	CCONJ
ejpam-797	469	4	granger	granger	PROPN
ejpam-797	469	5	formulation	formulation	NOUN
ejpam-797	469	6	has	have	VERB
ejpam-797	469	7	the	the	DET
ejpam-797	469	8	advantage	advantage	NOUN
ejpam-797	469	9	that	that	SCONJ
ejpam-797	469	10	the	the	DET
ejpam-797	469	11	cointegrating	cointegrate	VERB
ejpam-797	469	12	relationships	relationship	NOUN
ejpam-797	469	13	and	and	CCONJ
ejpam-797	469	14	transitory	transitory	ADJ
ejpam-797	469	15	components	component	NOUN
ejpam-797	469	16	have	have	AUX
ejpam-797	469	17	no	no	DET
ejpam-797	469	18	long	long	ADV
ejpam-797	469	19	-	-	PUNCT
ejpam-797	469	20	run	run	VERB
ejpam-797	469	21	effect	effect	NOUN
ejpam-797	469	22	on	on	ADP
ejpam-797	469	23	the	the	DET
ejpam-797	469	24	common	common	ADJ
ejpam-797	469	25	stochastic	stochastic	ADJ
ejpam-797	469	26	trends	trend	NOUN
ejpam-797	469	27	and	and	CCONJ
ejpam-797	469	28	permanent	permanent	ADJ
ejpam-797	469	29	components	component	NOUN
ejpam-797	469	30	.	.	PUNCT
ejpam-797	470	1	in	in	ADP
ejpam-797	470	2	the	the	DET
ejpam-797	470	3	johansen	johansen	PROPN
ejpam-797	470	4	version	version	PROPN
ejpam-797	470	5	,	,	PUNCT
ejpam-797	470	6	the	the	DET
ejpam-797	470	7	common	common	ADJ
ejpam-797	470	8	stochastic	stochastic	ADJ
ejpam-797	470	9	trends	trend	NOUN
ejpam-797	470	10	and	and	CCONJ
ejpam-797	470	11	permanent	permanent	ADJ
ejpam-797	470	12	components	component	NOUN
ejpam-797	470	13	are	be	AUX
ejpam-797	470	14	random	random	ADJ
ejpam-797	470	15	walks	walk	NOUN
ejpam-797	470	16	(	(	PUNCT
ejpam-797	470	17	like	like	ADP
ejpam-797	470	18	the	the	DET
ejpam-797	470	19	univariate	univariate	ADJ
ejpam-797	470	20	beveridge	beveridge	NOUN
ejpam-797	470	21	-	-	PUNCT
ejpam-797	470	22	nelson	nelson	NOUN
ejpam-797	470	23	decomposition	decomposition	NOUN
ejpam-797	470	24	)	)	PUNCT
ejpam-797	470	25	,	,	PUNCT
ejpam-797	470	26	and	and	CCONJ
ejpam-797	470	27	the	the	DET
ejpam-797	470	28	permanent	permanent	ADJ
ejpam-797	470	29	components	component	NOUN
ejpam-797	470	30	of	of	ADP
ejpam-797	470	31	the	the	DET
ejpam-797	470	32	variables	variable	NOUN
ejpam-797	470	33	can	can	AUX
ejpam-797	470	34	be	be	AUX
ejpam-797	470	35	seen	see	VERB
ejpam-797	470	36	as	as	ADP
ejpam-797	470	37	the	the	DET
ejpam-797	470	38	long	long	ADV
ejpam-797	470	39	-	-	PUNCT
ejpam-797	470	40	run	run	VERB
ejpam-797	470	41	forecasts	forecast	NOUN
ejpam-797	470	42	of	of	ADP
ejpam-797	470	43	the	the	DET
ejpam-797	470	44	variables	variable	NOUN
ejpam-797	470	45	once	once	SCONJ
ejpam-797	470	46	the	the	DET
ejpam-797	470	47	dynamics	dynamic	NOUN
ejpam-797	470	48	have	have	AUX
ejpam-797	470	49	worked	work	VERB
ejpam-797	470	50	out	out	ADP
ejpam-797	470	51	themselves	themselves	PRON
ejpam-797	470	52	.	.	PUNCT
ejpam-797	471	1	in	in	ADP
ejpam-797	471	2	the	the	DET
ejpam-797	471	3	johansen	johansen	PROPN
ejpam-797	471	4	definition	definition	NOUN
ejpam-797	471	5	,	,	PUNCT
ejpam-797	471	6	however	however	ADV
ejpam-797	471	7	,	,	PUNCT
ejpam-797	471	8	unlike	unlike	ADP
ejpam-797	471	9	the	the	DET
ejpam-797	471	10	gonzalo	gonzalo	PROPN
ejpam-797	471	11	and	and	CCONJ
ejpam-797	471	12	granger	granger	PROPN
ejpam-797	471	13	method	method	PROPN
ejpam-797	471	14	,	,	PUNCT
ejpam-797	471	15	the	the	DET
ejpam-797	471	16	cointegrating	cointegrate	VERB
ejpam-797	471	17	relationships	relationship	NOUN
ejpam-797	471	18	and	and	CCONJ
ejpam-797	471	19	transitory	transitory	ADJ
ejpam-797	471	20	components	component	NOUN
ejpam-797	471	21	can	can	AUX
ejpam-797	471	22	have	have	VERB
ejpam-797	471	23	a	a	DET
ejpam-797	471	24	permanent	permanent	ADJ
ejpam-797	471	25	effect	effect	NOUN
ejpam-797	471	26	on	on	ADP
ejpam-797	471	27	the	the	DET
ejpam-797	471	28	common	common	ADJ
ejpam-797	471	29	stochastic	stochastic	ADJ
ejpam-797	471	30	trends	trend	NOUN
ejpam-797	471	31	and	and	CCONJ
ejpam-797	471	32	the	the	DET
ejpam-797	471	33	permanent	permanent	ADJ
ejpam-797	471	34	components	component	NOUN
ejpam-797	471	35	.	.	PUNCT
ejpam-797	472	1	recall	recall	VERB
ejpam-797	472	2	that	that	SCONJ
ejpam-797	472	3	β	β	PROPN
ejpam-797	472	4	and	and	CCONJ
ejpam-797	472	5	α	α	PROPN
ejpam-797	472	6	are	be	AUX
ejpam-797	472	7	p×r	p×r	PROPN
ejpam-797	472	8	matrices	matrix	NOUN
ejpam-797	472	9	of	of	ADP
ejpam-797	472	10	full	full	ADJ
ejpam-797	472	11	column	column	NOUN
ejpam-797	472	12	rank	rank	NOUN
ejpam-797	472	13	,	,	PUNCT
ejpam-797	472	14	that	that	ADV
ejpam-797	472	15	is	is	ADV
ejpam-797	472	16	,	,	PUNCT
ejpam-797	472	17	the	the	DET
ejpam-797	472	18	columns	column	NOUN
ejpam-797	472	19	of	of	ADP
ejpam-797	472	20	β	β	PROPN
ejpam-797	472	21	and	and	CCONJ
ejpam-797	472	22	α	α	PRON
ejpam-797	472	23	lie	lie	NOUN
ejpam-797	472	24	in	in	ADP
ejpam-797	472	25	r	r	NOUN
ejpam-797	472	26	-	-	ADJ
ejpam-797	472	27	dimensional	dimensional	ADJ
ejpam-797	472	28	subspaces	subspace	NOUN
ejpam-797	472	29	of	of	ADP
ejpam-797	472	30	p	p	NOUN
ejpam-797	472	31			PUNCT
ejpam-797	472	32	.	.	PUNCT
ejpam-797	473	1	the	the	DET
ejpam-797	473	2	likelihood	likelihood	NOUN
ejpam-797	473	3	ratio	ratio	NOUN
ejpam-797	473	4	tests	test	NOUN
ejpam-797	473	5	in	in	ADP
ejpam-797	473	6	section	section	NOUN
ejpam-797	473	7	3	3	NUM
ejpam-797	473	8	for	for	ADP
ejpam-797	473	9	restrictions	restriction	NOUN
ejpam-797	473	10	on	on	ADP
ejpam-797	473	11	the	the	DET
ejpam-797	473	12	cointegrating	cointegrate	VERB
ejpam-797	473	13	vectors	vector	NOUN
ejpam-797	473	14	and	and	CCONJ
ejpam-797	473	15	on	on	ADP
ejpam-797	473	16	their	their	PRON
ejpam-797	473	17	disequilibrium	disequilibrium	NOUN
ejpam-797	473	18	adjustment	adjustment	NOUN
ejpam-797	473	19	vectors	vector	NOUN
ejpam-797	473	20	were	be	AUX
ejpam-797	473	21	of	of	ADP
ejpam-797	473	22	two	two	NUM
ejpam-797	473	23	general	general	ADJ
ejpam-797	473	24	types	type	NOUN
ejpam-797	473	25	:	:	PUNCT
ejpam-797	473	26	the	the	DET
ejpam-797	473	27	first	first	ADJ
ejpam-797	473	28	imposes	impose	VERB
ejpam-797	473	29	linear	linear	ADJ
ejpam-797	473	30	relationships	relationship	NOUN
ejpam-797	473	31	on	on	ADP
ejpam-797	473	32	all	all	DET
ejpam-797	473	33	the	the	DET
ejpam-797	473	34	vectors	vector	NOUN
ejpam-797	473	35	,	,	PUNCT
ejpam-797	473	36	and	and	CCONJ
ejpam-797	473	37	the	the	DET
ejpam-797	473	38	second	second	ADJ
ejpam-797	473	39	assumes	assume	VERB
ejpam-797	473	40	that	that	SCONJ
ejpam-797	473	41	a	a	DET
ejpam-797	473	42	subset	subset	NOUN
ejpam-797	473	43	of	of	ADP
ejpam-797	473	44	the	the	DET
ejpam-797	473	45	vectors	vector	NOUN
ejpam-797	473	46	are	be	AUX
ejpam-797	473	47	known	know	VERB
ejpam-797	473	48	.	.	PUNCT
ejpam-797	474	1	johansen	johansen	PROPN
ejpam-797	475	1	[	[	X
ejpam-797	475	2	20	20	NUM
ejpam-797	475	3	]	]	PUNCT
ejpam-797	475	4	shows	show	VERB
ejpam-797	475	5	that	that	SCONJ
ejpam-797	475	6	since	since	SCONJ
ejpam-797	475	7	one	one	NUM
ejpam-797	475	8	actually	actually	ADV
ejpam-797	475	9	n.	n.	PROPN
ejpam-797	475	10	morin	morin	PROPN
ejpam-797	475	11	/	/	SYM
ejpam-797	475	12	eur	eur	PROPN
ejpam-797	475	13	.	.	PUNCT
ejpam-797	476	1	j.	j.	PROPN
ejpam-797	476	2	pure	pure	PROPN
ejpam-797	476	3	appl	appl	PROPN
ejpam-797	476	4	.	.	PUNCT
ejpam-797	477	1	math	math	NOUN
ejpam-797	477	2	554	554	NUM
ejpam-797	477	3	estimates	estimate	VERB
ejpam-797	477	4	the	the	DET
ejpam-797	477	5	space	space	NOUN
ejpam-797	477	6	spanned	span	VERB
ejpam-797	477	7	by	by	ADP
ejpam-797	477	8	the	the	DET
ejpam-797	477	9	cointegrating	cointegrate	VERB
ejpam-797	477	10	vectors	vector	NOUN
ejpam-797	477	11	,	,	PUNCT
ejpam-797	477	12	(	(	PUNCT
ejpam-797	477	13	)	)	PUNCT
ejpam-797	477	14	sp	sp	ADP
ejpam-797	477	15	β	β	X
ejpam-797	477	16	,	,	PUNCT
ejpam-797	477	17	restrictions	restriction	NOUN
ejpam-797	477	18	on	on	ADP
ejpam-797	477	19	cointegrating	cointegrate	VERB
ejpam-797	477	20	vectors	vector	NOUN
ejpam-797	477	21	are	be	AUX
ejpam-797	477	22	restrictions	restriction	NOUN
ejpam-797	477	23	on	on	ADP
ejpam-797	477	24	the	the	DET
ejpam-797	477	25	space	space	NOUN
ejpam-797	477	26	they	they	PRON
ejpam-797	477	27	span	span	VERB
ejpam-797	477	28	.	.	PUNCT
ejpam-797	478	1	the	the	DET
ejpam-797	478	2	restriction	restriction	NOUN
ejpam-797	478	3	that	that	SCONJ
ejpam-797	478	4	the	the	DET
ejpam-797	478	5	r	r	NOUN
ejpam-797	478	6	vectors	vector	NOUN
ejpam-797	478	7	in	in	ADP
ejpam-797	478	8	β	β	X
ejpam-797	478	9	share	share	VERB
ejpam-797	478	10	p	p	PROPN
ejpam-797	478	11	-	-	PUNCT
ejpam-797	478	12	s	s	PART
ejpam-797	478	13	linear	linear	ADJ
ejpam-797	478	14	restrictions	restriction	NOUN
ejpam-797	478	15	,	,	PUNCT
ejpam-797	478	16	that	that	ADV
ejpam-797	478	17	is	is	ADV
ejpam-797	478	18	,	,	PUNCT
ejpam-797	478	19	hβ	hβ	INTJ
ejpam-797	478	20	φ=	φ=	NOUN
ejpam-797	478	21	where	where	SCONJ
ejpam-797	478	22	h	h	NOUN
ejpam-797	478	23	is	be	AUX
ejpam-797	478	24	a	a	DET
ejpam-797	478	25	known	know	VERB
ejpam-797	478	26	p×s	p×s	PROPN
ejpam-797	478	27	matrix	matrix	NOUN
ejpam-797	478	28	of	of	ADP
ejpam-797	478	29	full	full	ADJ
ejpam-797	478	30	column	column	NOUN
ejpam-797	478	31	rank	rank	NOUN
ejpam-797	478	32	and	and	CCONJ
ejpam-797	478	33	φ	φ	PROPN
ejpam-797	478	34	is	be	AUX
ejpam-797	478	35	an	an	DET
ejpam-797	478	36	unknown	unknown	ADJ
ejpam-797	478	37	s×r	s×r	PROPN
ejpam-797	478	38	matrix	matrix	NOUN
ejpam-797	478	39	,	,	PUNCT
ejpam-797	478	40	can	can	AUX
ejpam-797	478	41	be	be	AUX
ejpam-797	478	42	represented	represent	VERB
ejpam-797	478	43	geometrically	geometrically	ADV
ejpam-797	478	44	as	as	ADP
ejpam-797	478	45	(	(	PUNCT
ejpam-797	478	46	)	)	PUNCT
ejpam-797	478	47	(	(	PUNCT
ejpam-797	478	48	)	)	PUNCT
ejpam-797	478	49	sp	sp	ADP
ejpam-797	478	50	sp	sp	ADP
ejpam-797	478	51	hβ	hβ	PROPN
ejpam-797	478	52	⊂	⊂	PROPN
ejpam-797	478	53	.	.	PUNCT
ejpam-797	479	1	this	this	PRON
ejpam-797	479	2	implies	imply	VERB
ejpam-797	479	3	the	the	DET
ejpam-797	479	4	columns	column	NOUN
ejpam-797	479	5	of	of	ADP
ejpam-797	479	6	β	β	PROPN
ejpam-797	479	7	are	be	AUX
ejpam-797	479	8	restricted	restrict	VERB
ejpam-797	479	9	to	to	PART
ejpam-797	479	10	lie	lie	VERB
ejpam-797	479	11	in	in	ADP
ejpam-797	479	12	a	a	DET
ejpam-797	479	13	given	give	VERB
ejpam-797	479	14	s	s	NOUN
ejpam-797	479	15	-	-	ADJ
ejpam-797	479	16	dimensional	dimensional	ADJ
ejpam-797	479	17	subspace	subspace	NOUN
ejpam-797	479	18	of	of	ADP
ejpam-797	479	19	p	p	NOUN
ejpam-797	479	20			PUNCT
ejpam-797	479	21	[	[	X
ejpam-797	479	22	19	19	NUM
ejpam-797	479	23	]	]	PUNCT
ejpam-797	479	24	.	.	PUNCT
ejpam-797	480	1	the	the	DET
ejpam-797	480	2	restriction	restriction	NOUN
ejpam-797	480	3	that	that	PRON
ejpam-797	480	4	m	m	VERB
ejpam-797	480	5	of	of	ADP
ejpam-797	480	6	the	the	DET
ejpam-797	480	7	cointegrating	cointegrate	VERB
ejpam-797	480	8	relationships	relationship	NOUN
ejpam-797	480	9	are	be	AUX
ejpam-797	480	10	known	know	VERB
ejpam-797	480	11	,	,	PUNCT
ejpam-797	480	12	that	that	ADV
ejpam-797	480	13	is	is	ADV
ejpam-797	480	14	,	,	PUNCT
ejpam-797	480	15	[	[	PUNCT
ejpam-797	480	16	]	]	X
ejpam-797	480	17	,	,	PUNCT
ejpam-797	480	18	hβ	hβ	INTJ
ejpam-797	480	19	φ=	φ=	NOUN
ejpam-797	480	20	where	where	SCONJ
ejpam-797	480	21	h	h	NOUN
ejpam-797	480	22	contains	contain	VERB
ejpam-797	480	23	the	the	DET
ejpam-797	480	24	known	known	ADJ
ejpam-797	480	25	p×m	p×m	NOUN
ejpam-797	480	26	relationships	relationship	NOUN
ejpam-797	480	27	and	and	CCONJ
ejpam-797	480	28	hφ	hφ	PROPN
ejpam-797	480	29	ϑ⊥=	ϑ⊥=	NOUN
ejpam-797	480	30	p×(r	p×(r	PROPN
ejpam-797	480	31	-	-	PUNCT
ejpam-797	480	32	m	m	VERB
ejpam-797	480	33	)	)	PUNCT
ejpam-797	480	34	is	be	AUX
ejpam-797	480	35	unknown	unknown	ADJ
ejpam-797	480	36	,	,	PUNCT
ejpam-797	480	37	can	can	AUX
ejpam-797	480	38	be	be	AUX
ejpam-797	480	39	represented	represent	VERB
ejpam-797	480	40	geometrically	geometrically	ADV
ejpam-797	480	41	as	as	ADP
ejpam-797	480	42	(	(	PUNCT
ejpam-797	480	43	)	)	PUNCT
ejpam-797	480	44	(	(	PUNCT
ejpam-797	480	45	)	)	PUNCT
ejpam-797	480	46	sp	sp	ADP
ejpam-797	480	47	h	h	NOUN
ejpam-797	480	48	sp	sp	ADP
ejpam-797	480	49	β⊂	β⊂	PROPN
ejpam-797	481	1	[	[	X
ejpam-797	481	2	20	20	NUM
ejpam-797	481	3	]	]	PUNCT
ejpam-797	481	4	.	.	PUNCT
ejpam-797	482	1	this	this	PRON
ejpam-797	482	2	implies	imply	VERB
ejpam-797	482	3	that	that	SCONJ
ejpam-797	482	4	the	the	DET
ejpam-797	482	5	known	know	VERB
ejpam-797	482	6	vectors	vector	NOUN
ejpam-797	482	7	lie	lie	VERB
ejpam-797	482	8	in	in	ADP
ejpam-797	482	9	an	an	DET
ejpam-797	482	10	m	m	ADV
ejpam-797	482	11	-	-	ADJ
ejpam-797	482	12	dimensional	dimensional	ADJ
ejpam-797	482	13	subspace	subspace	NOUN
ejpam-797	482	14	of	of	ADP
ejpam-797	482	15	the	the	DET
ejpam-797	482	16	space	space	NOUN
ejpam-797	482	17	spanned	span	VERB
ejpam-797	482	18	by	by	ADP
ejpam-797	482	19	the	the	DET
ejpam-797	482	20	vectors	vector	NOUN
ejpam-797	482	21	in	in	ADP
ejpam-797	482	22	β	β	NOUN
ejpam-797	482	23	.	.	PUNCT
ejpam-797	483	1	these	these	DET
ejpam-797	483	2	two	two	NUM
ejpam-797	483	3	restrictions	restriction	NOUN
ejpam-797	483	4	can	can	AUX
ejpam-797	483	5	be	be	AUX
ejpam-797	483	6	written	write	VERB
ejpam-797	483	7	(	(	PUNCT
ejpam-797	483	8	)	)	PUNCT
ejpam-797	483	9	(	(	PUNCT
ejpam-797	483	10	)	)	PUNCT
ejpam-797	483	11	(	(	PUNCT
ejpam-797	483	12	)	)	PUNCT
ejpam-797	483	13	sp	sp	ADP
ejpam-797	483	14	h	h	NOUN
ejpam-797	483	15	sp	sp	ADP
ejpam-797	483	16	sp	sp	ADP
ejpam-797	483	17	hβ⊂	hβ⊂	PROPN
ejpam-797	483	18	⊂	⊂	PROPN
ejpam-797	483	19	.	.	PUNCT
ejpam-797	484	1	restrictions	restriction	NOUN
ejpam-797	484	2	placed	place	VERB
ejpam-797	484	3	on	on	ADP
ejpam-797	484	4	cointegrating	cointegrate	VERB
ejpam-797	484	5	vectors	vector	NOUN
ejpam-797	484	6	or	or	CCONJ
ejpam-797	484	7	on	on	ADP
ejpam-797	484	8	their	their	PRON
ejpam-797	484	9	adjustment	adjustment	NOUN
ejpam-797	484	10	vectors	vector	NOUN
ejpam-797	484	11	imply	imply	VERB
ejpam-797	484	12	that	that	SCONJ
ejpam-797	484	13	restrictions	restriction	NOUN
ejpam-797	484	14	are	be	AUX
ejpam-797	484	15	imposed	impose	VERB
ejpam-797	484	16	on	on	ADP
ejpam-797	484	17	the	the	DET
ejpam-797	484	18	space	space	NOUN
ejpam-797	484	19	spanned	span	VERB
ejpam-797	484	20	by	by	ADP
ejpam-797	484	21	their	their	PRON
ejpam-797	484	22	orthogonal	orthogonal	ADJ
ejpam-797	484	23	complements	complement	NOUN
ejpam-797	484	24	as	as	ADV
ejpam-797	484	25	well	well	ADV
ejpam-797	485	1	[	[	X
ejpam-797	485	2	20	20	NUM
ejpam-797	485	3	]	]	PUNCT
ejpam-797	485	4	.	.	PUNCT
ejpam-797	486	1	the	the	DET
ejpam-797	486	2	restriction	restriction	NOUN
ejpam-797	486	3	that	that	SCONJ
ejpam-797	486	4	(	(	PUNCT
ejpam-797	486	5	)	)	PUNCT
ejpam-797	486	6	(	(	PUNCT
ejpam-797	486	7	)	)	PUNCT
ejpam-797	486	8	sp	sp	ADP
ejpam-797	486	9	sp	sp	ADP
ejpam-797	486	10	hβ	hβ	PROPN
ejpam-797	486	11	⊂	⊂	PROPN
ejpam-797	486	12	implies	imply	VERB
ejpam-797	486	13	(	(	PUNCT
ejpam-797	486	14	)	)	PUNCT
ejpam-797	486	15	(	(	PUNCT
ejpam-797	486	16	)	)	PUNCT
ejpam-797	486	17	sp	sp	ADP
ejpam-797	486	18	h	h	NOUN
ejpam-797	486	19	sp	sp	ADP
ejpam-797	486	20	β⊥	β⊥	PROPN
ejpam-797	486	21	⊥⊂	⊥⊂	NUM
ejpam-797	486	22	,	,	PUNCT
ejpam-797	486	23	where	where	SCONJ
ejpam-797	486	24	the	the	DET
ejpam-797	486	25	orthogonal	orthogonal	ADJ
ejpam-797	486	26	complements	complement	NOUN
ejpam-797	486	27	β⊥	β⊥	VERB
ejpam-797	486	28	and	and	CCONJ
ejpam-797	486	29	h⊥	h⊥	NOUN
ejpam-797	486	30	are	be	AUX
ejpam-797	486	31	p×(p	p×(p	ADJ
ejpam-797	486	32	-	-	PUNCT
ejpam-797	486	33	r	r	NOUN
ejpam-797	486	34	)	)	PUNCT
ejpam-797	486	35	and	and	CCONJ
ejpam-797	486	36	p×(p	p×(p	NOUN
ejpam-797	486	37	-	-	SYM
ejpam-797	486	38	s	s	NOUN
ejpam-797	486	39	)	)	PUNCT
ejpam-797	486	40	matrices	matrix	NOUN
ejpam-797	486	41	,	,	PUNCT
ejpam-797	486	42	respectively	respectively	ADV
ejpam-797	486	43	,	,	PUNCT
ejpam-797	486	44	of	of	ADP
ejpam-797	486	45	full	full	ADJ
ejpam-797	486	46	column	column	NOUN
ejpam-797	486	47	rank	rank	NOUN
ejpam-797	486	48	.	.	PUNCT
ejpam-797	487	1	this	this	PRON
ejpam-797	487	2	means	mean	VERB
ejpam-797	487	3	that	that	SCONJ
ejpam-797	487	4	a	a	DET
ejpam-797	487	5	subset	subset	NOUN
ejpam-797	487	6	of	of	ADP
ejpam-797	487	7	p	p	NOUN
ejpam-797	487	8	-	-	PUNCT
ejpam-797	487	9	s	s	NOUN
ejpam-797	487	10	of	of	ADP
ejpam-797	487	11	the	the	DET
ejpam-797	487	12	p	p	ADJ
ejpam-797	487	13	-	-	PUNCT
ejpam-797	487	14	r	r	NOUN
ejpam-797	487	15	vectors	vector	NOUN
ejpam-797	487	16	in	in	ADP
ejpam-797	487	17	β⊥	β⊥	PROPN
ejpam-797	487	18	are	be	AUX
ejpam-797	487	19	known	know	VERB
ejpam-797	487	20	,	,	PUNCT
ejpam-797	487	21	namely	namely	ADV
ejpam-797	487	22	those	those	PRON
ejpam-797	487	23	contained	contain	VERB
ejpam-797	487	24	in	in	ADP
ejpam-797	487	25	h⊥	h⊥	NOUN
ejpam-797	487	26	.	.	PUNCT
ejpam-797	488	1	thus	thus	ADV
ejpam-797	488	2	,	,	PUNCT
ejpam-797	488	3	the	the	DET
ejpam-797	488	4	test	test	NOUN
ejpam-797	488	5	hβ	hβ	PROPN
ejpam-797	488	6	φ=	φ=	NOUN
ejpam-797	488	7	implies	imply	VERB
ejpam-797	488	8	a	a	DET
ejpam-797	488	9	test	test	NOUN
ejpam-797	488	10	on	on	ADP
ejpam-797	488	11	its	its	PRON
ejpam-797	488	12	orthogonal	orthogonal	ADJ
ejpam-797	488	13	complement	complement	NOUN
ejpam-797	488	14	of	of	ADP
ejpam-797	488	15	the	the	DET
ejpam-797	488	16	form	form	NOUN
ejpam-797	488	17	[	[	PUNCT
ejpam-797	488	18	]	]	X
ejpam-797	488	19	,	,	PUNCT
ejpam-797	488	20	hβ	hβ	PROPN
ejpam-797	488	21	θ⊥	θ⊥	VERB
ejpam-797	488	22	⊥=	⊥=	PROPN
ejpam-797	488	23	for	for	ADP
ejpam-797	488	24	which	which	PRON
ejpam-797	488	25	θ	θ	PROPN
ejpam-797	488	26	is	be	AUX
ejpam-797	488	27	an	an	DET
ejpam-797	488	28	unknown	unknown	ADJ
ejpam-797	488	29	p×(s	p×(s	NOUN
ejpam-797	488	30	-	-	PUNCT
ejpam-797	488	31	r	r	NOUN
ejpam-797	488	32	)	)	PUNCT
ejpam-797	488	33	matrix	matrix	NOUN
ejpam-797	488	34	of	of	ADP
ejpam-797	488	35	rank	rank	PROPN
ejpam-797	488	36	s	s	PROPN
ejpam-797	488	37	-	-	PUNCT
ejpam-797	488	38	r.	r.	PROPN
ejpam-797	488	39	similarly	similarly	ADV
ejpam-797	488	40	,	,	PUNCT
ejpam-797	488	41	(	(	PUNCT
ejpam-797	488	42	)	)	PUNCT
ejpam-797	488	43	(	(	PUNCT
ejpam-797	488	44	)	)	PUNCT
ejpam-797	488	45	sp	sp	ADP
ejpam-797	488	46	h	h	NOUN
ejpam-797	488	47	sp	sp	ADP
ejpam-797	488	48	β⊂	β⊂	PROPN
ejpam-797	488	49	implies	imply	VERB
ejpam-797	488	50	(	(	PUNCT
ejpam-797	488	51	)	)	PUNCT
ejpam-797	488	52	(	(	PUNCT
ejpam-797	488	53	)	)	PUNCT
ejpam-797	488	54	sp	sp	ADP
ejpam-797	488	55	sp	sp	ADP
ejpam-797	488	56	hβ⊥	hβ⊥	PROPN
ejpam-797	488	57	⊥⊂	⊥⊂	PUNCT
ejpam-797	488	58	,	,	PUNCT
ejpam-797	488	59	where	where	SCONJ
ejpam-797	488	60	h⊥	h⊥	NOUN
ejpam-797	488	61	is	be	AUX
ejpam-797	488	62	a	a	DET
ejpam-797	488	63	p×(p	p×(p	ADJ
ejpam-797	488	64	-	-	PUNCT
ejpam-797	488	65	m	m	NOUN
ejpam-797	488	66	)	)	PUNCT
ejpam-797	488	67	matrix	matrix	NOUN
ejpam-797	488	68	of	of	ADP
ejpam-797	488	69	full	full	ADJ
ejpam-797	488	70	column	column	NOUN
ejpam-797	488	71	rank	rank	NOUN
ejpam-797	488	72	;	;	PUNCT
ejpam-797	488	73	that	that	ADV
ejpam-797	488	74	is	is	ADV
ejpam-797	488	75	,	,	PUNCT
ejpam-797	488	76	the	the	DET
ejpam-797	488	77	vectors	vector	NOUN
ejpam-797	488	78	in	in	ADP
ejpam-797	488	79	β⊥	β⊥	PROPN
ejpam-797	488	80	share	share	NOUN
ejpam-797	488	81	the	the	DET
ejpam-797	488	82	(	(	PUNCT
ejpam-797	488	83	p	p	PROPN
ejpam-797	488	84	-	-	PUNCT
ejpam-797	488	85	m	m	NOUN
ejpam-797	488	86	)	)	PUNCT
ejpam-797	488	87	linear	linear	PROPN
ejpam-797	488	88	restrictions	restriction	NOUN
ejpam-797	488	89	implied	imply	VERB
ejpam-797	488	90	by	by	ADP
ejpam-797	488	91	h⊥	h⊥	NOUN
ejpam-797	488	92	.	.	PUNCT
ejpam-797	489	1	thus	thus	ADV
ejpam-797	489	2	,	,	PUNCT
ejpam-797	489	3	a	a	DET
ejpam-797	489	4	test	test	NOUN
ejpam-797	489	5	of	of	ADP
ejpam-797	489	6	the	the	DET
ejpam-797	489	7	form	form	NOUN
ejpam-797	489	8	[	[	PUNCT
ejpam-797	489	9	]	]	X
ejpam-797	489	10	,	,	PUNCT
ejpam-797	489	11	hβ	hβ	PROPN
ejpam-797	489	12	φ=	φ=	NOUN
ejpam-797	489	13	implies	imply	VERB
ejpam-797	489	14	a	a	DET
ejpam-797	489	15	test	test	NOUN
ejpam-797	489	16	on	on	ADP
ejpam-797	489	17	its	its	PRON
ejpam-797	489	18	orthogonal	orthogonal	ADJ
ejpam-797	489	19	complement	complement	NOUN
ejpam-797	489	20	of	of	ADP
ejpam-797	489	21	the	the	DET
ejpam-797	489	22	form	form	NOUN
ejpam-797	489	23	hβ	hβ	INTJ
ejpam-797	489	24	θ⊥	θ⊥	NOUN
ejpam-797	489	25	⊥=	⊥=	PROPN
ejpam-797	489	26	for	for	ADP
ejpam-797	489	27	which	which	PRON
ejpam-797	489	28	θ	θ	PROPN
ejpam-797	489	29	is	be	AUX
ejpam-797	489	30	an	an	DET
ejpam-797	489	31	unknown	unknown	ADJ
ejpam-797	489	32	(	(	PUNCT
ejpam-797	489	33	p	p	NOUN
ejpam-797	489	34	-	-	PUNCT
ejpam-797	489	35	m)×(p	m)×(p	VERB
ejpam-797	489	36	-	-	PUNCT
ejpam-797	489	37	r	r	NOUN
ejpam-797	489	38	)	)	PUNCT
ejpam-797	489	39	matrix	matrix	NOUN
ejpam-797	489	40	of	of	ADP
ejpam-797	489	41	rank	rank	NOUN
ejpam-797	489	42	p	p	PROPN
ejpam-797	489	43	-	-	PUNCT
ejpam-797	489	44	r.	r.	PROPN
ejpam-797	489	45	with	with	ADP
ejpam-797	489	46	minor	minor	ADJ
ejpam-797	489	47	modifications	modification	NOUN
ejpam-797	489	48	to	to	ADP
ejpam-797	489	49	the	the	DET
ejpam-797	489	50	tests	test	NOUN
ejpam-797	489	51	in	in	ADP
ejpam-797	489	52	section	section	NOUN
ejpam-797	489	53	3	3	NUM
ejpam-797	489	54	,	,	PUNCT
ejpam-797	489	55	we	we	PRON
ejpam-797	489	56	may	may	AUX
ejpam-797	489	57	more	more	ADV
ejpam-797	489	58	explicitly	explicitly	ADV
ejpam-797	489	59	state	state	VERB
ejpam-797	489	60	the	the	DET
ejpam-797	489	61	implications	implication	NOUN
ejpam-797	489	62	for	for	ADP
ejpam-797	489	63	the	the	DET
ejpam-797	489	64	orthogonal	orthogonal	ADJ
ejpam-797	489	65	complements	complement	NOUN
ejpam-797	489	66	and	and	CCONJ
ejpam-797	489	67	reformulate	reformulate	VERB
ejpam-797	489	68	them	they	PRON
ejpam-797	489	69	as	as	ADP
ejpam-797	489	70	tests	test	NOUN
ejpam-797	489	71	on	on	ADP
ejpam-797	489	72	the	the	DET
ejpam-797	489	73	orthogonal	orthogonal	ADJ
ejpam-797	489	74	complements	complement	NOUN
ejpam-797	489	75	,	,	PUNCT
ejpam-797	489	76	that	that	ADV
ejpam-797	489	77	is	is	ADV
ejpam-797	489	78	,	,	PUNCT
ejpam-797	489	79	use	use	VERB
ejpam-797	489	80	the	the	DET
ejpam-797	489	81	tests	test	NOUN
ejpam-797	489	82	in	in	ADP
ejpam-797	489	83	section	section	NOUN
ejpam-797	489	84	3	3	NUM
ejpam-797	489	85	as	as	ADP
ejpam-797	489	86	tests	test	NOUN
ejpam-797	489	87	on	on	ADP
ejpam-797	489	88	the	the	DET
ejpam-797	489	89	orthogonal	orthogonal	ADJ
ejpam-797	489	90	complements	complement	NOUN
ejpam-797	489	91	.	.	PUNCT
ejpam-797	490	1	theorem	theorem	VERB
ejpam-797	490	2	7	7	NUM
ejpam-797	490	3	.	.	PUNCT
ejpam-797	490	4	for	for	ADP
ejpam-797	490	5	(	(	PUNCT
ejpam-797	490	6	1	1	NUM
ejpam-797	490	7	)	)	PUNCT
ejpam-797	490	8	0	0	NUM
ejpam-797	491	1	:	:	PUNCT
ejpam-797	491	2	h	h	NOUN
ejpam-797	492	1	hβ	hβ	INTJ
ejpam-797	492	2	φ=	φ=	NOUN
ejpam-797	492	3	where	where	SCONJ
ejpam-797	492	4	h	h	PROPN
ejpam-797	492	5	p×s	p×s	PROPN
ejpam-797	492	6	is	be	AUX
ejpam-797	492	7	known	know	VERB
ejpam-797	492	8	and	and	CCONJ
ejpam-797	492	9	φ	φ	PROPN
ejpam-797	492	10	s×r	s×r	PROPN
ejpam-797	492	11	is	be	AUX
ejpam-797	492	12	unknown	unknown	ADJ
ejpam-797	492	13	,	,	PUNCT
ejpam-797	492	14	r≤s	r≤s	PROPN
ejpam-797	492	15	<	<	X
ejpam-797	492	16	p	p	X
ejpam-797	492	17	one	one	PRON
ejpam-797	492	18	may	may	AUX
ejpam-797	492	19	choose	choose	VERB
ejpam-797	492	20	,	,	PUNCT
ejpam-797	493	1	h	h	NOUN
ejpam-797	493	2	hβ	hβ	VERB
ejpam-797	493	3	φ⊥	φ⊥	ADJ
ejpam-797	493	4	⊥	⊥	PROPN
ejpam-797	493	5	⊥	⊥	PROPN
ejpam-797	493	6	=	=	SYM
ejpam-797	493	7			X
ejpam-797	493	8			X
ejpam-797	493	9	(	(	PUNCT
ejpam-797	493	10	57	57	NUM
ejpam-797	493	11	)	)	PUNCT
ejpam-797	493	12	where	where	SCONJ
ejpam-797	493	13	(	(	PUNCT
ejpam-797	493	14	)	)	PUNCT
ejpam-797	493	15	1h	1h	NUM
ejpam-797	493	16	h	h	NOUN
ejpam-797	493	17	h	h	NOUN
ejpam-797	493	18	h	h	PROPN
ejpam-797	493	19	−′≡	−′≡	NOUN
ejpam-797	493	20	.	.	PUNCT
ejpam-797	494	1	further	far	ADV
ejpam-797	494	2	,	,	PUNCT
ejpam-797	494	3	one	one	PRON
ejpam-797	494	4	can	can	AUX
ejpam-797	494	5	test	test	VERB
ejpam-797	494	6	the	the	DET
ejpam-797	494	7	hypothesis	hypothesis	NOUN
ejpam-797	494	8	,	,	PUNCT
ejpam-797	494	9	g	g	NOUN
ejpam-797	494	10	gβ	gβ	PROPN
ejpam-797	494	11	θ⊥	θ⊥	NOUN
ejpam-797	494	12	⊥	⊥	X
ejpam-797	494	13	=	=	X
ejpam-797	494	14			NOUN
ejpam-797	494	15			X
ejpam-797	494	16	(	(	PUNCT
ejpam-797	494	17	58	58	NUM
ejpam-797	494	18	)	)	PUNCT
ejpam-797	494	19	where	where	SCONJ
ejpam-797	494	20	g	g	PROPN
ejpam-797	494	21	p×q	p×q	PROPN
ejpam-797	494	22	is	be	AUX
ejpam-797	494	23	known	know	VERB
ejpam-797	494	24	and	and	CCONJ
ejpam-797	494	25	θ	θ	PROPN
ejpam-797	494	26	(	(	PUNCT
ejpam-797	494	27	p	p	NOUN
ejpam-797	494	28	-	-	PUNCT
ejpam-797	494	29	q)×	q)×	X
ejpam-797	494	30	(	(	PUNCT
ejpam-797	494	31	p	p	PROPN
ejpam-797	494	32	-	-	PUNCT
ejpam-797	494	33	q	q	NOUN
ejpam-797	494	34	-	-	PUNCT
ejpam-797	494	35	r	r	NOUN
ejpam-797	494	36	)	)	PUNCT
ejpam-797	494	37	is	be	AUX
ejpam-797	494	38	unknown	unknown	ADJ
ejpam-797	494	39	by	by	ADP
ejpam-797	494	40	transforming	transform	VERB
ejpam-797	494	41	this	this	DET
ejpam-797	494	42	problem	problem	NOUN
ejpam-797	494	43	into	into	ADP
ejpam-797	494	44	0h	0h	PROPN
ejpam-797	494	45	above	above	ADP
ejpam-797	494	46	setting	set	VERB
ejpam-797	494	47	h	h	NOUN
ejpam-797	494	48	g⊥=	g⊥=	NOUN
ejpam-797	494	49	and	and	CCONJ
ejpam-797	494	50	s	s	PROPN
ejpam-797	494	51	=	=	PROPN
ejpam-797	494	52	p	p	NOUN
ejpam-797	494	53	-	-	PUNCT
ejpam-797	494	54	q.	q.	NOUN
ejpam-797	494	55	that	that	PRON
ejpam-797	494	56	is	be	AUX
ejpam-797	494	57	,	,	PUNCT
ejpam-797	494	58	one	one	PRON
ejpam-797	494	59	may	may	AUX
ejpam-797	494	60	test	test	VERB
ejpam-797	494	61	the	the	DET
ejpam-797	494	62	hypothesis	hypothesis	NOUN
ejpam-797	494	63	that	that	PRON
ejpam-797	494	64	certain	certain	ADJ
ejpam-797	494	65	β⊥	β⊥	PROPN
ejpam-797	494	66	are	be	AUX
ejpam-797	494	67	known	know	VERB
ejpam-797	494	68	and	and	CCONJ
ejpam-797	494	69	the	the	DET
ejpam-797	494	70	remaining	remain	VERB
ejpam-797	494	71	elements	element	NOUN
ejpam-797	494	72	of	of	ADP
ejpam-797	494	73	β⊥	β⊥	PROPN
ejpam-797	494	74	are	be	AUX
ejpam-797	494	75	orthogonal	orthogonal	ADJ
ejpam-797	494	76	to	to	ADP
ejpam-797	494	77	the	the	DET
ejpam-797	494	78	known	know	VERB
ejpam-797	494	79	vectors	vector	NOUN
ejpam-797	494	80	.	.	PUNCT
ejpam-797	495	1	to	to	PART
ejpam-797	495	2	check	check	VERB
ejpam-797	495	3	that	that	PRON
ejpam-797	495	4	β⊥	β⊥	PROPN
ejpam-797	495	5	is	be	AUX
ejpam-797	495	6	indeed	indeed	ADV
ejpam-797	495	7	an	an	DET
ejpam-797	495	8	orthogonal	orthogonal	ADJ
ejpam-797	495	9	complement	complement	NOUN
ejpam-797	495	10	of	of	ADP
ejpam-797	495	11	β	β	X
ejpam-797	495	12	,	,	PUNCT
ejpam-797	495	13	one	one	PRON
ejpam-797	495	14	must	must	AUX
ejpam-797	495	15	verify	verify	VERB
ejpam-797	495	16	that	that	PRON
ejpam-797	495	17	(	(	PUNCT
ejpam-797	495	18	)	)	PUNCT
ejpam-797	495	19	0	0	NUM
ejpam-797	496	1	p	p	NOUN
ejpam-797	496	2	r	r	NOUN
ejpam-797	496	3	rβ	rβ	X
ejpam-797	496	4	β	β	X
ejpam-797	496	5	−	−	NOUN
ejpam-797	496	6	×⊥′	×⊥′	X
ejpam-797	497	1	=	=	SYM
ejpam-797	498	1	(	(	PUNCT
ejpam-797	498	2	)	)	PUNCT
ejpam-797	498	3	(	(	PUNCT
ejpam-797	498	4	)	)	PUNCT
ejpam-797	498	5	(	(	PUNCT
ejpam-797	498	6	)	)	PUNCT
ejpam-797	498	7	00	00	PUNCT
ejpam-797	499	1	,	,	PUNCT
ejpam-797	499	2	0	0	NUM
ejpam-797	499	3	0	0	NUM
ejpam-797	500	1	p	p	NOUN
ejpam-797	500	2	s	s	NOUN
ejpam-797	500	3	r	r	NOUN
ejpam-797	500	4	p	p	NOUN
ejpam-797	500	5	r	r	NOUN
ejpam-797	500	6	r	r	NOUN
ejpam-797	500	7	s	s	NOUN
ejpam-797	500	8	r	r	NOUN
ejpam-797	500	9	rs	rs	NOUN
ejpam-797	500	10	h	h	NOUN
ejpam-797	500	11	h	h	NOUN
ejpam-797	501	1	h	h	NOUN
ejpam-797	502	1	h	h	NOUN
ejpam-797	503	1	h	h	NOUN
ejpam-797	503	2	ih	ih	INTJ
ejpam-797	503	3	h	h	PROPN
ejpam-797	503	4	φφ	φφ	PROPN
ejpam-797	503	5	β	β	X
ejpam-797	503	6	β	β	PROPN
ejpam-797	503	7	φ	φ	PROPN
ejpam-797	503	8	φ	φ	PROPN
ejpam-797	503	9	φ	φ	PROPN
ejpam-797	503	10	φφ	φφ	ADP
ejpam-797	503	11	φ	φ	PROPN
ejpam-797	503	12	−	−	PROPN
ejpam-797	503	13	×	×	NOUN
ejpam-797	503	14	−	−	PROPN
ejpam-797	503	15	×	×	NOUN
ejpam-797	504	1	−	−	PROPN
ejpam-797	504	2	×	×	NOUN
ejpam-797	504	3	⊥	⊥	X
ejpam-797	504	4	⊥	⊥	PROPN
ejpam-797	504	5	⊥	⊥	NOUN
ejpam-797	504	6	⊥	⊥	PROPN
ejpam-797	504	7	⊥⊥	⊥⊥	PROPN
ejpam-797	504	8	′	′	NOUN
ejpam-797	504	9			PROPN
ejpam-797	504	10	′	′	PROPN
ejpam-797	504	11			PROPN
ejpam-797	504	12			PROPN
ejpam-797	504	13	′	′	PROPN
ejpam-797	504	14			NOUN
ejpam-797	504	15	=	=	PUNCT
ejpam-797	504	16	=	=	PUNCT
ejpam-797	504	17	=	=	PUNCT
ejpam-797	505	1	=	=	PUNCT
ejpam-797	505	2	=	=	PUNCT
ejpam-797	505	3			ADJ
ejpam-797	505	4			NOUN
ejpam-797	505	5			PROPN
ejpam-797	505	6			ADJ
ejpam-797	505	7			PROPN
ejpam-797	505	8	′′	′′	PROPN
ejpam-797	505	9	′	′	NOUN
ejpam-797	505	10			PROPN
ejpam-797	505	11			NOUN
ejpam-797	505	12			NOUN
ejpam-797	505	13			NOUN
ejpam-797	505	14			PROPN
ejpam-797	505	15	n.	n.	NOUN
ejpam-797	505	16	morin	morin	PROPN
ejpam-797	505	17	/	/	SYM
ejpam-797	505	18	eur	eur	PROPN
ejpam-797	505	19	.	.	PUNCT
ejpam-797	506	1	j.	j.	PROPN
ejpam-797	506	2	pure	pure	PROPN
ejpam-797	506	3	appl	appl	PROPN
ejpam-797	506	4	.	.	PUNCT
ejpam-797	507	1	math	math	PROPN
ejpam-797	507	2	555	555	NUM
ejpam-797	507	3	theorem	theorem	VERB
ejpam-797	507	4	8	8	NUM
ejpam-797	507	5	.	.	PUNCT
ejpam-797	508	1	for	for	ADP
ejpam-797	508	2	(	(	PUNCT
ejpam-797	508	3	2	2	NUM
ejpam-797	508	4	)	)	PUNCT
ejpam-797	508	5	0	0	NUM
ejpam-797	508	6	:	:	PUNCT
ejpam-797	508	7	,	,	PUNCT
ejpam-797	508	8	h	h	NOUN
ejpam-797	508	9	h	h	NOUN
ejpam-797	508	10	hβ	hβ	PROPN
ejpam-797	508	11	φ⊥	φ⊥	NOUN
ejpam-797	508	12	=	=	PUNCT
ejpam-797	508	13			NOUN
ejpam-797	508	14			VERB
ejpam-797	508	15	where	where	SCONJ
ejpam-797	508	16	h	h	PROPN
ejpam-797	508	17	p×s	p×s	PROPN
ejpam-797	508	18	is	be	AUX
ejpam-797	508	19	known	know	VERB
ejpam-797	508	20	and	and	CCONJ
ejpam-797	508	21	φ	φ	NUM
ejpam-797	508	22	(	(	PUNCT
ejpam-797	508	23	p	p	NOUN
ejpam-797	508	24	-	-	PUNCT
ejpam-797	508	25	s)×(r	s)×(r	NOUN
ejpam-797	508	26	-	-	PUNCT
ejpam-797	508	27	s	s	NOUN
ejpam-797	508	28	)	)	PUNCT
ejpam-797	508	29	is	be	AUX
ejpam-797	508	30	unknown	unknown	ADJ
ejpam-797	508	31	,	,	PUNCT
ejpam-797	508	32	one	one	PRON
ejpam-797	508	33	may	may	AUX
ejpam-797	508	34	choose	choose	VERB
ejpam-797	508	35	[	[	PUNCT
ejpam-797	508	36	]	]	X
ejpam-797	508	37	hβ	hβ	X
ejpam-797	508	38	φ⊥	φ⊥	ADJ
ejpam-797	508	39	⊥	⊥	PROPN
ejpam-797	508	40	⊥=	⊥=	PROPN
ejpam-797	508	41	.	.	PUNCT
ejpam-797	509	1	(	(	PUNCT
ejpam-797	509	2	59	59	NUM
ejpam-797	509	3	)	)	PUNCT
ejpam-797	509	4	thus	thus	ADV
ejpam-797	509	5	,	,	PUNCT
ejpam-797	509	6	we	we	PRON
ejpam-797	509	7	can	can	AUX
ejpam-797	509	8	test	test	VERB
ejpam-797	509	9	the	the	DET
ejpam-797	509	10	hypothesis	hypothesis	NOUN
ejpam-797	509	11	gβ	gβ	NOUN
ejpam-797	509	12	θ⊥	θ⊥	NOUN
ejpam-797	509	13	=	=	SYM
ejpam-797	509	14	,	,	PUNCT
ejpam-797	509	15	(	(	PUNCT
ejpam-797	509	16	60	60	NUM
ejpam-797	509	17	)	)	PUNCT
ejpam-797	509	18	where	where	SCONJ
ejpam-797	509	19	g	g	PROPN
ejpam-797	509	20	is	be	AUX
ejpam-797	509	21	a	a	DET
ejpam-797	509	22	known	know	VERB
ejpam-797	509	23	p×q	p×q	NOUN
ejpam-797	509	24	matrix	matrix	NOUN
ejpam-797	509	25	and	and	CCONJ
ejpam-797	509	26	θ	θ	PROPN
ejpam-797	509	27	is	be	AUX
ejpam-797	509	28	an	an	DET
ejpam-797	509	29	unknown	unknown	ADJ
ejpam-797	509	30	q×(p	q×(p	NOUN
ejpam-797	509	31	-	-	PUNCT
ejpam-797	509	32	r	r	NOUN
ejpam-797	509	33	)	)	PUNCT
ejpam-797	509	34	matrix	matrix	NOUN
ejpam-797	509	35	by	by	ADP
ejpam-797	509	36	transforming	transform	VERB
ejpam-797	509	37	this	this	DET
ejpam-797	509	38	problem	problem	NOUN
ejpam-797	509	39	into	into	ADP
ejpam-797	509	40	0h	0h	PROPN
ejpam-797	509	41	above	above	ADP
ejpam-797	509	42	setting	set	VERB
ejpam-797	509	43	h	h	NOUN
ejpam-797	509	44	g⊥=	g⊥=	NOUN
ejpam-797	509	45	and	and	CCONJ
ejpam-797	509	46	s	s	PROPN
ejpam-797	509	47	=	=	PROPN
ejpam-797	509	48	p	p	NOUN
ejpam-797	509	49	-	-	PUNCT
ejpam-797	509	50	q.	q.	NOUN
ejpam-797	509	51	that	that	PRON
ejpam-797	509	52	is	be	AUX
ejpam-797	509	53	,	,	PUNCT
ejpam-797	509	54	one	one	PRON
ejpam-797	509	55	may	may	AUX
ejpam-797	509	56	test	test	VERB
ejpam-797	509	57	the	the	DET
ejpam-797	509	58	hypothesis	hypothesis	NOUN
ejpam-797	509	59	that	that	PRON
ejpam-797	509	60	the	the	DET
ejpam-797	509	61	vectors	vector	NOUN
ejpam-797	509	62	in	in	ADP
ejpam-797	509	63	β⊥	β⊥	PROPN
ejpam-797	509	64	share	share	NOUN
ejpam-797	509	65	the	the	DET
ejpam-797	509	66	same	same	ADJ
ejpam-797	509	67	p	p	NOUN
ejpam-797	509	68	-	-	PUNCT
ejpam-797	509	69	s	s	NOUN
ejpam-797	509	70	linear	linear	ADJ
ejpam-797	509	71	restrictions	restriction	NOUN
ejpam-797	509	72	.	.	PUNCT
ejpam-797	510	1	again	again	ADV
ejpam-797	510	2	,	,	PUNCT
ejpam-797	510	3	to	to	PART
ejpam-797	510	4	check	check	VERB
ejpam-797	510	5	that	that	SCONJ
ejpam-797	510	6	β⊥	β⊥	PROPN
ejpam-797	510	7	is	be	AUX
ejpam-797	510	8	indeed	indeed	ADV
ejpam-797	510	9	an	an	DET
ejpam-797	510	10	orthogonal	orthogonal	ADJ
ejpam-797	510	11	complement	complement	NOUN
ejpam-797	510	12	of	of	ADP
ejpam-797	510	13	β	β	X
ejpam-797	510	14	,	,	PUNCT
ejpam-797	510	15	one	one	PRON
ejpam-797	510	16	must	must	AUX
ejpam-797	510	17	verify	verify	VERB
ejpam-797	510	18	that	that	PRON
ejpam-797	510	19	(	(	PUNCT
ejpam-797	510	20	)	)	PUNCT
ejpam-797	510	21	0	0	NUM
ejpam-797	511	1	p	p	NOUN
ejpam-797	511	2	r	r	NOUN
ejpam-797	511	3	rβ	rβ	X
ejpam-797	511	4	β	β	X
ejpam-797	511	5	−	−	NOUN
ejpam-797	511	6	×⊥′	×⊥′	X
ejpam-797	511	7	=	=	PUNCT
ejpam-797	511	8	:	:	PUNCT
ejpam-797	511	9	(	(	PUNCT
ejpam-797	511	10	)	)	PUNCT
ejpam-797	511	11	(	(	PUNCT
ejpam-797	511	12	)	)	PUNCT
ejpam-797	511	13	,	,	PUNCT
ejpam-797	511	14	,	,	PUNCT
ejpam-797	511	15	0	0	NUM
ejpam-797	511	16	,	,	PUNCT
ejpam-797	511	17	0	0	NUM
ejpam-797	512	1	.p	.p	PROPN
ejpam-797	512	2	s	s	PART
ejpam-797	513	1	p	p	NOUN
ejpam-797	513	2	r	r	NOUN
ejpam-797	513	3	rh	rh	PROPN
ejpam-797	513	4	h	h	NOUN
ejpam-797	513	5	h	h	NOUN
ejpam-797	513	6	h	h	NOUN
ejpam-797	513	7	h	h	NOUN
ejpam-797	513	8	h	h	NOUN
ejpam-797	513	9	h	h	NOUN
ejpam-797	513	10	iβ	iβ	ADP
ejpam-797	513	11	β	β	PROPN
ejpam-797	513	12	φ	φ	PROPN
ejpam-797	513	13	φ	φ	PROPN
ejpam-797	513	14	φ	φ	PROPN
ejpam-797	513	15	φ	φ	PROPN
ejpam-797	513	16	φ	φ	PROPN
ejpam-797	513	17	φ	φ	PROPN
ejpam-797	513	18	φ	φ	PROPN
ejpam-797	513	19	φ⊥	φ⊥	ADJ
ejpam-797	513	20	⊥	⊥	PROPN
ejpam-797	513	21	⊥	⊥	PROPN
ejpam-797	513	22	⊥	⊥	PROPN
ejpam-797	514	1	⊥	⊥	PROPN
ejpam-797	514	2	⊥	⊥	PROPN
ejpam-797	514	3	⊥	⊥	PROPN
ejpam-797	514	4	⊥	⊥	PROPN
ejpam-797	514	5	⊥	⊥	PROPN
ejpam-797	514	6	⊥	⊥	PROPN
ejpam-797	514	7	⊥	⊥	NOUN
ejpam-797	514	8	−	−	PROPN
ejpam-797	514	9	−	−	PROPN
ejpam-797	514	10	×	×	PROPN
ejpam-797	514	11			NOUN
ejpam-797	514	12	′	′	PROPN
ejpam-797	514	13	′	′	NUM
ejpam-797	514	14	′	′	NUM
ejpam-797	515	1	′	′	NUM
ejpam-797	516	1	′	′	NUM
ejpam-797	517	1	′	′	NUM
ejpam-797	518	1	′	′	NUM
ejpam-797	519	1	′	′	NUM
ejpam-797	520	1	′	′	PRON
ejpam-797	520	2			PROPN
ejpam-797	520	3			NOUN
ejpam-797	520	4	=	=	X
ejpam-797	520	5	=	=	PUNCT
ejpam-797	520	6	=	=	SYM
ejpam-797	521	1	=	=	NOUN
ejpam-797	521	2			NOUN
ejpam-797	521	3			NOUN
ejpam-797	521	4			NOUN
ejpam-797	521	5			NOUN
ejpam-797	521	6			NOUN
ejpam-797	522	1			NOUN
ejpam-797	522	2	proofs	proof	NOUN
ejpam-797	522	3	of	of	ADP
ejpam-797	522	4	the	the	DET
ejpam-797	522	5	above	above	ADJ
ejpam-797	522	6	and	and	CCONJ
ejpam-797	522	7	following	follow	VERB
ejpam-797	522	8	theorems	theorem	NOUN
ejpam-797	522	9	are	be	AUX
ejpam-797	522	10	in	in	ADP
ejpam-797	522	11	the	the	DET
ejpam-797	522	12	appendix	appendix	NOUN
ejpam-797	522	13	.	.	PUNCT
ejpam-797	523	1	one	one	PRON
ejpam-797	523	2	can	can	AUX
ejpam-797	523	3	apply	apply	VERB
ejpam-797	523	4	the	the	DET
ejpam-797	523	5	ideas	idea	NOUN
ejpam-797	523	6	from	from	ADP
ejpam-797	523	7	the	the	DET
ejpam-797	523	8	two	two	NUM
ejpam-797	523	9	examples	example	NOUN
ejpam-797	523	10	above	above	ADV
ejpam-797	523	11	to	to	ADP
ejpam-797	523	12	tests	test	NOUN
ejpam-797	523	13	(	(	PUNCT
ejpam-797	523	14	3	3	NUM
ejpam-797	523	15	)	)	PUNCT
ejpam-797	523	16	through	through	ADP
ejpam-797	523	17	(	(	PUNCT
ejpam-797	523	18	8)	8)	NUM
ejpam-797	523	19	in	in	ADP
ejpam-797	523	20	section	section	NOUN
ejpam-797	523	21	3	3	NUM
ejpam-797	523	22	.	.	PUNCT
ejpam-797	524	1	the	the	DET
ejpam-797	524	2	results	result	NOUN
ejpam-797	524	3	are	be	AUX
ejpam-797	524	4	summarized	summarize	VERB
ejpam-797	524	5	below	below	ADV
ejpam-797	524	6	.	.	PUNCT
ejpam-797	525	1	theorem	theorem	VERB
ejpam-797	525	2	9	9	NUM
ejpam-797	525	3	.	.	PUNCT
ejpam-797	526	1	for	for	ADP
ejpam-797	526	2	(	(	PUNCT
ejpam-797	526	3	3	3	NUM
ejpam-797	526	4	)	)	PUNCT
ejpam-797	526	5	0	0	NUM
ejpam-797	527	1	:	:	PUNCT
ejpam-797	527	2	h	h	PROPN
ejpam-797	527	3	aα	aα	NOUN
ejpam-797	527	4	ψ=	ψ=	NOUN
ejpam-797	527	5	where	where	SCONJ
ejpam-797	527	6	a	a	DET
ejpam-797	527	7	p×m	p×m	PROPN
ejpam-797	527	8	is	be	AUX
ejpam-797	527	9	known	know	VERB
ejpam-797	527	10	and	and	CCONJ
ejpam-797	527	11	ψ	ψ	X
ejpam-797	527	12	m×r	m×r	PROPN
ejpam-797	527	13	is	be	AUX
ejpam-797	527	14	unknown	unknown	ADJ
ejpam-797	527	15	,	,	PUNCT
ejpam-797	527	16	r≤m≤p	r≤m≤p	PROPN
ejpam-797	527	17	,	,	PUNCT
ejpam-797	527	18	one	one	PRON
ejpam-797	527	19	may	may	AUX
ejpam-797	527	20	choose	choose	VERB
ejpam-797	527	21	,	,	PUNCT
ejpam-797	527	22	a	a	DET
ejpam-797	527	23	aα	aα	NOUN
ejpam-797	527	24	ψ⊥	ψ⊥	PROPN
ejpam-797	527	25	⊥	⊥	PROPN
ejpam-797	527	26	⊥	⊥	X
ejpam-797	527	27	=	=	SYM
ejpam-797	527	28			NOUN
ejpam-797	527	29			PROPN
ejpam-797	527	30	,	,	PUNCT
ejpam-797	527	31	(	(	PUNCT
ejpam-797	527	32	61	61	NUM
ejpam-797	527	33	)	)	PUNCT
ejpam-797	527	34	where	where	SCONJ
ejpam-797	527	35	(	(	PUNCT
ejpam-797	527	36	)	)	PUNCT
ejpam-797	527	37	1a	1a	PROPN
ejpam-797	527	38	a	a	DET
ejpam-797	527	39	a	a	DET
ejpam-797	527	40	a	a	DET
ejpam-797	527	41	−′≡	−′≡	NOUN
ejpam-797	527	42	.	.	PUNCT
ejpam-797	528	1	further	far	ADV
ejpam-797	528	2	,	,	PUNCT
ejpam-797	528	3	one	one	PRON
ejpam-797	528	4	can	can	AUX
ejpam-797	528	5	test	test	VERB
ejpam-797	528	6	the	the	DET
ejpam-797	528	7	hypothesis	hypothesis	NOUN
ejpam-797	528	8	,	,	PUNCT
ejpam-797	529	1	b	b	PROPN
ejpam-797	529	2	bα	bα	PROPN
ejpam-797	529	3	ξ⊥	ξ⊥	VERB
ejpam-797	529	4	⊥	⊥	PROPN
ejpam-797	529	5	=	=	SYM
ejpam-797	529	6			X
ejpam-797	529	7			X
ejpam-797	529	8	(	(	PUNCT
ejpam-797	529	9	62	62	NUM
ejpam-797	529	10	)	)	PUNCT
ejpam-797	529	11	where	where	SCONJ
ejpam-797	529	12	b	b	X
ejpam-797	529	13	p×n	p×n	PROPN
ejpam-797	529	14	is	be	AUX
ejpam-797	529	15	known	know	VERB
ejpam-797	529	16	and	and	CCONJ
ejpam-797	529	17	ξ	ξ	X
ejpam-797	529	18	(	(	PUNCT
ejpam-797	529	19	p	p	X
ejpam-797	529	20	-	-	PUNCT
ejpam-797	529	21	n)×(p	n)×(p	VERB
ejpam-797	529	22	-	-	PUNCT
ejpam-797	529	23	n	n	CCONJ
ejpam-797	529	24	-	-	PUNCT
ejpam-797	529	25	r	r	NOUN
ejpam-797	529	26	)	)	PUNCT
ejpam-797	529	27	is	be	AUX
ejpam-797	529	28	unknown	unknown	ADJ
ejpam-797	529	29	by	by	ADP
ejpam-797	529	30	transforming	transform	VERB
ejpam-797	529	31	this	this	DET
ejpam-797	529	32	problem	problem	NOUN
ejpam-797	529	33	into	into	ADP
ejpam-797	529	34	0h	0h	PROPN
ejpam-797	529	35	above	above	ADP
ejpam-797	529	36	setting	set	VERB
ejpam-797	529	37	a	a	DET
ejpam-797	529	38	b⊥=	b⊥=	ADJ
ejpam-797	529	39	and	and	CCONJ
ejpam-797	529	40	m	m	NOUN
ejpam-797	529	41	=	=	PROPN
ejpam-797	529	42	p	p	X
ejpam-797	529	43	-	-	PUNCT
ejpam-797	529	44	n.	n.	NOUN
ejpam-797	529	45	that	that	PRON
ejpam-797	529	46	is	be	AUX
ejpam-797	529	47	,	,	PUNCT
ejpam-797	529	48	one	one	PRON
ejpam-797	529	49	may	may	AUX
ejpam-797	529	50	test	test	VERB
ejpam-797	529	51	the	the	DET
ejpam-797	529	52	hypothesis	hypothesis	NOUN
ejpam-797	529	53	that	that	PRON
ejpam-797	529	54	certain	certain	ADJ
ejpam-797	529	55	α⊥	α⊥	NOUN
ejpam-797	529	56	are	be	AUX
ejpam-797	529	57	known	know	VERB
ejpam-797	529	58	and	and	CCONJ
ejpam-797	529	59	the	the	DET
ejpam-797	529	60	remaining	remain	VERB
ejpam-797	529	61	vectors	vector	NOUN
ejpam-797	529	62	in	in	ADP
ejpam-797	529	63	α⊥	α⊥	PROPN
ejpam-797	529	64	are	be	AUX
ejpam-797	529	65	orthogonal	orthogonal	ADJ
ejpam-797	529	66	to	to	ADP
ejpam-797	529	67	the	the	DET
ejpam-797	529	68	known	know	VERB
ejpam-797	529	69	vectors	vector	NOUN
ejpam-797	529	70	.	.	PUNCT
ejpam-797	530	1	theorem	theorem	ADJ
ejpam-797	530	2	10	10	NUM
ejpam-797	530	3	.	.	PUNCT
ejpam-797	531	1	for	for	ADP
ejpam-797	531	2	(	(	PUNCT
ejpam-797	531	3	4	4	NUM
ejpam-797	531	4	)	)	PUNCT
ejpam-797	531	5	0	0	NUM
ejpam-797	531	6	:	:	PUNCT
ejpam-797	531	7	,	,	PUNCT
ejpam-797	531	8	h	h	PROPN
ejpam-797	531	9	a	a	DET
ejpam-797	531	10	aα	aα	NOUN
ejpam-797	531	11	ψ⊥	ψ⊥	NOUN
ejpam-797	531	12	=	=	X
ejpam-797	531	13			NOUN
ejpam-797	531	14			VERB
ejpam-797	531	15	where	where	SCONJ
ejpam-797	531	16	a	a	DET
ejpam-797	531	17	p×m	p×m	PROPN
ejpam-797	531	18	is	be	AUX
ejpam-797	531	19	known	know	VERB
ejpam-797	531	20	and	and	CCONJ
ejpam-797	531	21	ψ	ψ	X
ejpam-797	531	22	(	(	PUNCT
ejpam-797	531	23	p	p	PROPN
ejpam-797	531	24	-	-	PUNCT
ejpam-797	531	25	m)×r	m)×r	PROPN
ejpam-797	531	26	is	be	AUX
ejpam-797	531	27	unknown	unknown	ADJ
ejpam-797	531	28	,	,	PUNCT
ejpam-797	531	29	one	one	PRON
ejpam-797	531	30	may	may	AUX
ejpam-797	531	31	choose	choose	VERB
ejpam-797	531	32	aα	aα	NOUN
ejpam-797	531	33	ψ⊥	ψ⊥	PROPN
ejpam-797	531	34	⊥	⊥	PROPN
ejpam-797	531	35	⊥=	⊥=	PROPN
ejpam-797	531	36	.	.	PUNCT
ejpam-797	532	1	(	(	PUNCT
ejpam-797	532	2	63	63	NUM
ejpam-797	532	3	)	)	PUNCT
ejpam-797	532	4	further	far	ADV
ejpam-797	532	5	,	,	PUNCT
ejpam-797	532	6	one	one	PRON
ejpam-797	532	7	can	can	AUX
ejpam-797	532	8	test	test	VERB
ejpam-797	532	9	the	the	DET
ejpam-797	532	10	hypothesis	hypothesis	NOUN
ejpam-797	532	11	bα	bα	NOUN
ejpam-797	532	12	ξ⊥	ξ⊥	NOUN
ejpam-797	532	13	=	=	SYM
ejpam-797	532	14	(	(	PUNCT
ejpam-797	532	15	64	64	NUM
ejpam-797	532	16	)	)	PUNCT
ejpam-797	532	17	where	where	SCONJ
ejpam-797	532	18	b	b	NOUN
ejpam-797	532	19	is	be	AUX
ejpam-797	532	20	a	a	DET
ejpam-797	532	21	known	known	ADJ
ejpam-797	532	22	p×n	p×n	NOUN
ejpam-797	532	23	matrix	matrix	NOUN
ejpam-797	532	24	and	and	CCONJ
ejpam-797	532	25	ξ	ξ	PROPN
ejpam-797	532	26	is	be	AUX
ejpam-797	532	27	an	an	DET
ejpam-797	532	28	unknown	unknown	ADJ
ejpam-797	532	29	n×(p	n×(p	ADJ
ejpam-797	532	30	-	-	PUNCT
ejpam-797	532	31	r	r	NOUN
ejpam-797	532	32	)	)	PUNCT
ejpam-797	532	33	matrix	matrix	NOUN
ejpam-797	532	34	by	by	ADP
ejpam-797	532	35	transforming	transform	VERB
ejpam-797	532	36	this	this	DET
ejpam-797	532	37	problem	problem	NOUN
ejpam-797	532	38	into	into	ADP
ejpam-797	532	39	0h	0h	PROPN
ejpam-797	532	40	above	above	ADP
ejpam-797	532	41	setting	set	VERB
ejpam-797	532	42	a	a	DET
ejpam-797	532	43	b⊥=	b⊥=	ADJ
ejpam-797	532	44	and	and	CCONJ
ejpam-797	532	45	m	m	NOUN
ejpam-797	532	46	=	=	PROPN
ejpam-797	532	47	p	p	X
ejpam-797	532	48	-	-	PUNCT
ejpam-797	532	49	n.	n.	NOUN
ejpam-797	532	50	that	that	PRON
ejpam-797	532	51	is	be	AUX
ejpam-797	532	52	,	,	PUNCT
ejpam-797	532	53	one	one	PRON
ejpam-797	532	54	may	may	AUX
ejpam-797	532	55	test	test	VERB
ejpam-797	532	56	the	the	DET
ejpam-797	532	57	hypothesis	hypothesis	NOUN
ejpam-797	532	58	that	that	PRON
ejpam-797	532	59	the	the	DET
ejpam-797	532	60	vectors	vector	NOUN
ejpam-797	532	61	in	in	ADP
ejpam-797	532	62	α⊥	α⊥	PROPN
ejpam-797	532	63	share	share	VERB
ejpam-797	532	64	the	the	DET
ejpam-797	532	65	same	same	ADJ
ejpam-797	532	66	p	p	NOUN
ejpam-797	532	67	-	-	PUNCT
ejpam-797	532	68	m	m	NOUN
ejpam-797	532	69	linear	linear	PROPN
ejpam-797	532	70	restrictions	restriction	NOUN
ejpam-797	532	71	.	.	PUNCT
ejpam-797	533	1	n.	n.	PROPN
ejpam-797	533	2	morin	morin	PROPN
ejpam-797	533	3	/	/	SYM
ejpam-797	533	4	eur	eur	PROPN
ejpam-797	533	5	.	.	PUNCT
ejpam-797	534	1	j.	j.	PROPN
ejpam-797	534	2	pure	pure	PROPN
ejpam-797	534	3	appl	appl	PROPN
ejpam-797	534	4	.	.	PUNCT
ejpam-797	535	1	math	math	NOUN
ejpam-797	535	2	556	556	NUM
ejpam-797	535	3	this	this	DET
ejpam-797	535	4	test	test	NOUN
ejpam-797	535	5	is	be	AUX
ejpam-797	535	6	equivalent	equivalent	ADJ
ejpam-797	535	7	to	to	ADP
ejpam-797	535	8	the	the	DET
ejpam-797	535	9	hypothesis	hypothesis	NOUN
ejpam-797	535	10	test	test	NOUN
ejpam-797	535	11	4bh	4bh	NOUN
ejpam-797	535	12	in	in	ADP
ejpam-797	535	13	[	[	X
ejpam-797	535	14	12	12	NUM
ejpam-797	535	15	]	]	PUNCT
ejpam-797	535	16	,	,	PUNCT
ejpam-797	535	17	which	which	PRON
ejpam-797	535	18	uses	use	VERB
ejpam-797	535	19	the	the	DET
ejpam-797	535	20	dual	dual	ADJ
ejpam-797	535	21	of	of	ADP
ejpam-797	535	22	the	the	DET
ejpam-797	535	23	eigenvalue	eigenvalue	NOUN
ejpam-797	535	24	problem	problem	NOUN
ejpam-797	535	25	for	for	ADP
ejpam-797	535	26	(	(	PUNCT
ejpam-797	535	27	4	4	X
ejpam-797	535	28	)	)	PUNCT
ejpam-797	535	29	used	use	VERB
ejpam-797	535	30	in	in	ADP
ejpam-797	535	31	theorem	theorem	ADJ
ejpam-797	535	32	10	10	NUM
ejpam-797	535	33	.	.	PUNCT
ejpam-797	536	1	the	the	DET
ejpam-797	536	2	following	follow	VERB
ejpam-797	536	3	four	four	NUM
ejpam-797	536	4	theorems	theorem	NOUN
ejpam-797	536	5	allow	allow	VERB
ejpam-797	536	6	one	one	PRON
ejpam-797	536	7	to	to	PART
ejpam-797	536	8	combine	combine	VERB
ejpam-797	536	9	restrictions	restriction	NOUN
ejpam-797	536	10	on	on	ADP
ejpam-797	536	11	the	the	DET
ejpam-797	536	12	orthogonal	orthogonal	ADJ
ejpam-797	536	13	complements	complement	NOUN
ejpam-797	536	14	of	of	ADP
ejpam-797	536	15	the	the	DET
ejpam-797	536	16	cointegrating	cointegrate	VERB
ejpam-797	536	17	vectors	vector	NOUN
ejpam-797	536	18	and	and	CCONJ
ejpam-797	536	19	of	of	ADP
ejpam-797	536	20	their	their	PRON
ejpam-797	536	21	disequilibrium	disequilibrium	NOUN
ejpam-797	536	22	adjustment	adjustment	NOUN
ejpam-797	536	23	vectors	vector	NOUN
ejpam-797	536	24	.	.	PUNCT
ejpam-797	537	1	theorem	theorem	VERB
ejpam-797	537	2	11	11	NUM
ejpam-797	537	3	.	.	PUNCT
ejpam-797	538	1	for	for	ADP
ejpam-797	538	2	(	(	PUNCT
ejpam-797	538	3	5	5	NUM
ejpam-797	538	4	)	)	PUNCT
ejpam-797	538	5	0	0	NUM
ejpam-797	538	6	:	:	PUNCT
ejpam-797	538	7	,	,	PUNCT
ejpam-797	538	8	h	h	NOUN
ejpam-797	538	9	h	h	NOUN
ejpam-797	538	10	aβ	aβ	VERB
ejpam-797	538	11	φ	φ	PROPN
ejpam-797	538	12	α	α	PROPN
ejpam-797	538	13	ψ=	ψ=	NOUN
ejpam-797	538	14	=	=	PUNCT
ejpam-797	538	15	where	where	SCONJ
ejpam-797	538	16	h	h	PROPN
ejpam-797	538	17	p×s	p×s	PROPN
ejpam-797	538	18	,	,	PUNCT
ejpam-797	538	19	a	a	DET
ejpam-797	538	20	p×m	p×m	NOUN
ejpam-797	538	21	are	be	AUX
ejpam-797	538	22	known	know	VERB
ejpam-797	538	23	and	and	CCONJ
ejpam-797	538	24	φ	φ	PROPN
ejpam-797	538	25	s×r	s×r	PROPN
ejpam-797	538	26	,	,	PUNCT
ejpam-797	538	27	ψ	ψ	ADP
ejpam-797	538	28	m×r	m×r	PROPN
ejpam-797	538	29	are	be	AUX
ejpam-797	538	30	unknown	unknown	ADJ
ejpam-797	538	31	,	,	PUNCT
ejpam-797	538	32	r≤s	r≤s	PROPN
ejpam-797	538	33	<	<	X
ejpam-797	538	34	p	p	NOUN
ejpam-797	538	35	and	and	CCONJ
ejpam-797	538	36	r≤m	r≤m	NOUN
ejpam-797	538	37	<	<	X
ejpam-797	538	38	p	p	X
ejpam-797	538	39	,	,	PUNCT
ejpam-797	538	40	one	one	PRON
ejpam-797	538	41	may	may	AUX
ejpam-797	538	42	choose	choose	VERB
ejpam-797	538	43	,	,	PUNCT
ejpam-797	538	44	,	,	PUNCT
ejpam-797	538	45	,	,	PUNCT
ejpam-797	539	1	h	h	NOUN
ejpam-797	539	2	h	h	NOUN
ejpam-797	539	3	a	a	DET
ejpam-797	539	4	aβ	aβ	NOUN
ejpam-797	539	5	φ	φ	PROPN
ejpam-797	539	6	α	α	PROPN
ejpam-797	539	7	ψ⊥	ψ⊥	PROPN
ejpam-797	539	8	⊥	⊥	PROPN
ejpam-797	539	9	⊥	⊥	PROPN
ejpam-797	539	10	⊥	⊥	X
ejpam-797	539	11	⊥	⊥	NOUN
ejpam-797	539	12	⊥	⊥	PROPN
ejpam-797	539	13			PROPN
ejpam-797	539	14	=	=	PUNCT
ejpam-797	540	1	=	=	NOUN
ejpam-797	540	2			NUM
ejpam-797	540	3			NOUN
ejpam-797	540	4			NOUN
ejpam-797	540	5			NOUN
ejpam-797	540	6	.	.	PUNCT
ejpam-797	541	1	(	(	PUNCT
ejpam-797	541	2	65	65	NUM
ejpam-797	541	3	)	)	PUNCT
ejpam-797	541	4	thus	thus	ADV
ejpam-797	541	5	,	,	PUNCT
ejpam-797	541	6	we	we	PRON
ejpam-797	541	7	can	can	AUX
ejpam-797	541	8	test	test	VERB
ejpam-797	541	9	the	the	DET
ejpam-797	541	10	hypothesis	hypothesis	NOUN
ejpam-797	541	11	,	,	PUNCT
ejpam-797	541	12	,	,	PUNCT
ejpam-797	541	13	,	,	PUNCT
ejpam-797	541	14	g	g	PROPN
ejpam-797	541	15	g	g	PROPN
ejpam-797	541	16	b	b	PROPN
ejpam-797	541	17	bβ	bβ	NOUN
ejpam-797	541	18	θ	θ	PROPN
ejpam-797	541	19	α	α	PRON
ejpam-797	541	20	ξ⊥	ξ⊥	PROPN
ejpam-797	541	21	⊥	⊥	PROPN
ejpam-797	541	22	⊥	⊥	ADJ
ejpam-797	541	23	⊥	⊥	PROPN
ejpam-797	541	24			PROPN
ejpam-797	541	25			NOUN
ejpam-797	541	26	=	=	PUNCT
ejpam-797	541	27	=	=	SYM
ejpam-797	541	28			NOUN
ejpam-797	541	29			VERB
ejpam-797	541	30			PROPN
ejpam-797	541	31	(	(	PUNCT
ejpam-797	541	32	66	66	NUM
ejpam-797	541	33	)	)	PUNCT
ejpam-797	541	34	where	where	SCONJ
ejpam-797	541	35	g	g	PROPN
ejpam-797	541	36	p×q	p×q	PROPN
ejpam-797	541	37	and	and	CCONJ
ejpam-797	541	38	b	b	NOUN
ejpam-797	541	39	p×n	p×n	PROPN
ejpam-797	541	40	are	be	AUX
ejpam-797	541	41	known	know	VERB
ejpam-797	541	42	matrices	matrix	NOUN
ejpam-797	541	43	and	and	CCONJ
ejpam-797	541	44	θ	θ	NOUN
ejpam-797	541	45	(	(	PUNCT
ejpam-797	541	46	p	p	X
ejpam-797	541	47	-	-	PUNCT
ejpam-797	541	48	q)×(p	q)×(p	NOUN
ejpam-797	541	49	-	-	PUNCT
ejpam-797	541	50	q	q	NOUN
ejpam-797	541	51	-	-	PUNCT
ejpam-797	541	52	r	r	NOUN
ejpam-797	541	53	)	)	PUNCT
ejpam-797	541	54	and	and	CCONJ
ejpam-797	541	55	ξ	ξ	X
ejpam-797	541	56	(	(	PUNCT
ejpam-797	541	57	p	p	X
ejpam-797	541	58	-	-	PUNCT
ejpam-797	541	59	n)×(p	n)×(p	VERB
ejpam-797	541	60	-	-	PUNCT
ejpam-797	541	61	n	n	CCONJ
ejpam-797	541	62	-	-	PUNCT
ejpam-797	541	63	r	r	NOUN
ejpam-797	541	64	)	)	PUNCT
ejpam-797	541	65	are	be	AUX
ejpam-797	541	66	unknown	unknown	ADJ
ejpam-797	541	67	matrices	matrix	NOUN
ejpam-797	541	68	by	by	ADP
ejpam-797	541	69	transforming	transform	VERB
ejpam-797	541	70	this	this	DET
ejpam-797	541	71	problem	problem	NOUN
ejpam-797	541	72	into	into	ADP
ejpam-797	541	73	0h	0h	PROPN
ejpam-797	541	74	above	above	ADP
ejpam-797	541	75	setting	set	VERB
ejpam-797	541	76	h	h	NOUN
ejpam-797	541	77	g⊥=	g⊥=	NOUN
ejpam-797	541	78	,	,	PUNCT
ejpam-797	541	79	a	a	DET
ejpam-797	541	80	b⊥=	b⊥=	NOUN
ejpam-797	541	81	,	,	PUNCT
ejpam-797	541	82	s	s	NOUN
ejpam-797	541	83	=	=	SYM
ejpam-797	541	84	p	p	NOUN
ejpam-797	541	85	-	-	PUNCT
ejpam-797	541	86	q	q	NOUN
ejpam-797	541	87	,	,	PUNCT
ejpam-797	541	88	and	and	CCONJ
ejpam-797	541	89	m	m	PROPN
ejpam-797	541	90	=	=	PROPN
ejpam-797	541	91	p	p	NOUN
ejpam-797	541	92	-	-	PUNCT
ejpam-797	541	93	n.	n.	NOUN
ejpam-797	541	94	this	this	DET
ejpam-797	541	95	test	test	NOUN
ejpam-797	541	96	allows	allow	VERB
ejpam-797	541	97	one	one	NUM
ejpam-797	541	98	simultaneously	simultaneously	ADV
ejpam-797	541	99	to	to	PART
ejpam-797	541	100	test	test	VERB
ejpam-797	541	101	for	for	ADP
ejpam-797	541	102	known	know	VERB
ejpam-797	541	103	β⊥	β⊥	NOUN
ejpam-797	541	104	vectors	vector	NOUN
ejpam-797	541	105	and	and	CCONJ
ejpam-797	541	106	for	for	ADP
ejpam-797	541	107	known	know	VERB
ejpam-797	541	108	α⊥	α⊥	PROPN
ejpam-797	541	109	vectors	vector	NOUN
ejpam-797	541	110	.	.	PUNCT
ejpam-797	542	1	theorem	theorem	NOUN
ejpam-797	542	2	12	12	NUM
ejpam-797	542	3	.	.	PUNCT
ejpam-797	543	1	for	for	ADP
ejpam-797	543	2	(	(	PUNCT
ejpam-797	543	3	6	6	NUM
ejpam-797	543	4	)	)	PUNCT
ejpam-797	543	5	0	0	NUM
ejpam-797	543	6	:	:	PUNCT
ejpam-797	543	7	,	,	PUNCT
ejpam-797	543	8	,	,	PUNCT
ejpam-797	543	9	h	h	NOUN
ejpam-797	543	10	h	h	NOUN
ejpam-797	543	11	a	a	DET
ejpam-797	543	12	aβ	aβ	NOUN
ejpam-797	543	13	φ	φ	PROPN
ejpam-797	543	14	α	α	NOUN
ejpam-797	543	15	ψ⊥	ψ⊥	NOUN
ejpam-797	543	16	=	=	PUNCT
ejpam-797	543	17	=	=	SYM
ejpam-797	543	18			NOUN
ejpam-797	543	19			VERB
ejpam-797	543	20	where	where	SCONJ
ejpam-797	543	21	h	h	PROPN
ejpam-797	543	22	p×s	p×s	PROPN
ejpam-797	543	23	,	,	PUNCT
ejpam-797	543	24	a	a	DET
ejpam-797	543	25	p×m	p×m	NOUN
ejpam-797	543	26	are	be	AUX
ejpam-797	543	27	known	know	VERB
ejpam-797	543	28	and	and	CCONJ
ejpam-797	543	29	φ	φ	PROPN
ejpam-797	543	30	s×r	s×r	PROPN
ejpam-797	543	31	,	,	PUNCT
ejpam-797	543	32	ψ	ψ	X
ejpam-797	543	33	(	(	PUNCT
ejpam-797	543	34	p	p	ADJ
ejpam-797	543	35	-	-	PUNCT
ejpam-797	543	36	m)×(m	m)×(m	NOUN
ejpam-797	543	37	-	-	PUNCT
ejpam-797	543	38	r	r	NOUN
ejpam-797	543	39	)	)	PUNCT
ejpam-797	543	40	are	be	AUX
ejpam-797	543	41	unknown	unknown	ADJ
ejpam-797	543	42	,	,	PUNCT
ejpam-797	543	43	m≤r≤s	m≤r≤s	X
ejpam-797	543	44	<	<	X
ejpam-797	543	45	p	p	X
ejpam-797	543	46	,	,	PUNCT
ejpam-797	543	47	one	one	PRON
ejpam-797	543	48	may	may	AUX
ejpam-797	543	49	choose	choose	VERB
ejpam-797	543	50	,	,	PUNCT
ejpam-797	543	51	h	h	NOUN
ejpam-797	543	52	hβ	hβ	AUX
ejpam-797	543	53	φ⊥	φ⊥	ADJ
ejpam-797	543	54	⊥	⊥	PROPN
ejpam-797	543	55	⊥	⊥	PROPN
ejpam-797	543	56	=	=	SYM
ejpam-797	543	57			NOUN
ejpam-797	543	58			PART
ejpam-797	543	59	,	,	PUNCT
ejpam-797	543	60	aα	aα	NOUN
ejpam-797	543	61	ψ⊥	ψ⊥	PROPN
ejpam-797	543	62	⊥	⊥	PROPN
ejpam-797	543	63	⊥=	⊥=	PROPN
ejpam-797	543	64	.	.	PUNCT
ejpam-797	544	1	(	(	PUNCT
ejpam-797	544	2	67	67	NUM
ejpam-797	544	3	)	)	PUNCT
ejpam-797	544	4	thus	thus	ADV
ejpam-797	544	5	,	,	PUNCT
ejpam-797	544	6	we	we	PRON
ejpam-797	544	7	can	can	AUX
ejpam-797	544	8	test	test	VERB
ejpam-797	544	9	the	the	DET
ejpam-797	544	10	hypothesis	hypothesis	NOUN
ejpam-797	544	11	,	,	PUNCT
ejpam-797	544	12	g	g	NOUN
ejpam-797	544	13	gβ	gβ	PROPN
ejpam-797	544	14	θ⊥	θ⊥	NOUN
ejpam-797	545	1	⊥	⊥	X
ejpam-797	545	2	=	=	X
ejpam-797	545	3			NOUN
ejpam-797	545	4			PUNCT
ejpam-797	545	5	,	,	PUNCT
ejpam-797	545	6	bα	bα	PROPN
ejpam-797	545	7	ξ⊥	ξ⊥	NOUN
ejpam-797	545	8	=	=	SYM
ejpam-797	545	9	(	(	PUNCT
ejpam-797	545	10	68	68	NUM
ejpam-797	545	11	)	)	PUNCT
ejpam-797	545	12	where	where	SCONJ
ejpam-797	545	13	g	g	PROPN
ejpam-797	545	14	p×q	p×q	PROPN
ejpam-797	545	15	and	and	CCONJ
ejpam-797	545	16	b	b	NOUN
ejpam-797	545	17	p×n	p×n	PROPN
ejpam-797	545	18	are	be	AUX
ejpam-797	545	19	known	know	VERB
ejpam-797	545	20	matrices	matrix	NOUN
ejpam-797	545	21	and	and	CCONJ
ejpam-797	545	22	θ	θ	NOUN
ejpam-797	545	23	(	(	PUNCT
ejpam-797	545	24	p	p	X
ejpam-797	545	25	-	-	PUNCT
ejpam-797	545	26	q)×(p	q)×(p	NOUN
ejpam-797	545	27	-	-	PUNCT
ejpam-797	545	28	q	q	NOUN
ejpam-797	545	29	-	-	PUNCT
ejpam-797	545	30	r	r	NOUN
ejpam-797	545	31	)	)	PUNCT
ejpam-797	545	32	and	and	CCONJ
ejpam-797	545	33	ξ	ξ	PRON
ejpam-797	545	34	n×(p	n×(p	NUM
ejpam-797	545	35	-	-	PUNCT
ejpam-797	545	36	r	r	NOUN
ejpam-797	545	37	)	)	PUNCT
ejpam-797	545	38	are	be	AUX
ejpam-797	545	39	unknown	unknown	ADJ
ejpam-797	545	40	matrices	matrix	NOUN
ejpam-797	545	41	by	by	ADP
ejpam-797	545	42	transforming	transform	VERB
ejpam-797	545	43	this	this	DET
ejpam-797	545	44	problem	problem	NOUN
ejpam-797	545	45	into	into	ADP
ejpam-797	545	46	0h	0h	PROPN
ejpam-797	545	47	above	above	ADP
ejpam-797	545	48	setting	set	VERB
ejpam-797	545	49	h	h	NOUN
ejpam-797	545	50	g⊥=	g⊥=	NOUN
ejpam-797	545	51	,	,	PUNCT
ejpam-797	545	52	a	a	DET
ejpam-797	545	53	b⊥=	b⊥=	NOUN
ejpam-797	545	54	,	,	PUNCT
ejpam-797	545	55	s	s	NOUN
ejpam-797	545	56	=	=	SYM
ejpam-797	545	57	p	p	NOUN
ejpam-797	545	58	-	-	PUNCT
ejpam-797	545	59	q	q	NOUN
ejpam-797	545	60	,	,	PUNCT
ejpam-797	545	61	and	and	CCONJ
ejpam-797	545	62	m	m	PROPN
ejpam-797	545	63	=	=	PROPN
ejpam-797	545	64	p	p	NOUN
ejpam-797	545	65	-	-	PUNCT
ejpam-797	545	66	n.	n.	NOUN
ejpam-797	545	67	this	this	DET
ejpam-797	545	68	test	test	NOUN
ejpam-797	545	69	allows	allow	VERB
ejpam-797	545	70	one	one	NUM
ejpam-797	545	71	simultaneously	simultaneously	ADV
ejpam-797	545	72	to	to	PART
ejpam-797	545	73	test	test	VERB
ejpam-797	545	74	for	for	ADP
ejpam-797	545	75	known	know	VERB
ejpam-797	545	76	β⊥	β⊥	NOUN
ejpam-797	545	77	vectors	vector	NOUN
ejpam-797	545	78	and	and	CCONJ
ejpam-797	545	79	to	to	PART
ejpam-797	545	80	place	place	VERB
ejpam-797	545	81	common	common	ADJ
ejpam-797	545	82	linear	linear	ADJ
ejpam-797	545	83	restrictions	restriction	NOUN
ejpam-797	545	84	on	on	ADP
ejpam-797	545	85	α⊥	α⊥	PROPN
ejpam-797	545	86	.	.	PUNCT
ejpam-797	546	1	theorem	theorem	VERB
ejpam-797	546	2	13	13	NUM
ejpam-797	546	3	.	.	PUNCT
ejpam-797	547	1	for	for	ADP
ejpam-797	547	2	(	(	PUNCT
ejpam-797	547	3	7	7	NUM
ejpam-797	547	4	)	)	PUNCT
ejpam-797	547	5	0	0	NUM
ejpam-797	547	6	:	:	PUNCT
ejpam-797	547	7	,	,	PUNCT
ejpam-797	547	8	,	,	PUNCT
ejpam-797	547	9	h	h	NOUN
ejpam-797	547	10	h	h	NOUN
ejpam-797	547	11	h	h	NOUN
ejpam-797	548	1	aβ	aβ	VERB
ejpam-797	548	2	φ	φ	PROPN
ejpam-797	548	3	α	α	PROPN
ejpam-797	548	4	ψ⊥	ψ⊥	NOUN
ejpam-797	548	5	=	=	PUNCT
ejpam-797	549	1	=	=	NOUN
ejpam-797	549	2			NOUN
ejpam-797	549	3			VERB
ejpam-797	549	4	where	where	SCONJ
ejpam-797	549	5	h	h	PROPN
ejpam-797	549	6	p×s	p×s	PROPN
ejpam-797	549	7	,	,	PUNCT
ejpam-797	549	8	a	a	DET
ejpam-797	549	9	p×m	p×m	NOUN
ejpam-797	549	10	are	be	AUX
ejpam-797	549	11	known	know	VERB
ejpam-797	549	12	and	and	CCONJ
ejpam-797	549	13	φ	φ	NUM
ejpam-797	549	14	(	(	PUNCT
ejpam-797	549	15	p	p	NOUN
ejpam-797	549	16	-	-	PUNCT
ejpam-797	549	17	s)×(r	s)×(r	NOUN
ejpam-797	549	18	-	-	PUNCT
ejpam-797	549	19	s	s	NOUN
ejpam-797	549	20	)	)	PUNCT
ejpam-797	549	21	,	,	PUNCT
ejpam-797	549	22	ψ	ψ	X
ejpam-797	549	23	m×r	m×r	PROPN
ejpam-797	549	24	are	be	AUX
ejpam-797	549	25	unknown	unknown	ADJ
ejpam-797	549	26	,	,	PUNCT
ejpam-797	549	27	s≤r≤m	s≤r≤m	PROPN
ejpam-797	549	28	<	<	X
ejpam-797	549	29	p	p	X
ejpam-797	549	30	,	,	PUNCT
ejpam-797	549	31	one	one	PRON
ejpam-797	549	32	may	may	AUX
ejpam-797	549	33	choose	choose	VERB
ejpam-797	549	34	[	[	PUNCT
ejpam-797	549	35	]	]	X
ejpam-797	549	36	hβ	hβ	X
ejpam-797	549	37	φ⊥	φ⊥	ADJ
ejpam-797	549	38	⊥	⊥	PROPN
ejpam-797	549	39	⊥=	⊥=	PROPN
ejpam-797	549	40	,	,	PUNCT
ejpam-797	549	41	,	,	PUNCT
ejpam-797	549	42	a	a	DET
ejpam-797	549	43	aα	aα	NOUN
ejpam-797	549	44	ψ⊥	ψ⊥	PROPN
ejpam-797	549	45	⊥	⊥	PROPN
ejpam-797	549	46	⊥	⊥	X
ejpam-797	549	47	=	=	SYM
ejpam-797	549	48			X
ejpam-797	549	49			X
ejpam-797	549	50	(	(	PUNCT
ejpam-797	549	51	69	69	NUM
ejpam-797	549	52	)	)	PUNCT
ejpam-797	549	53	thus	thus	ADV
ejpam-797	549	54	,	,	PUNCT
ejpam-797	549	55	we	we	PRON
ejpam-797	549	56	can	can	AUX
ejpam-797	549	57	test	test	VERB
ejpam-797	549	58	the	the	DET
ejpam-797	549	59	hypothesis	hypothesis	NOUN
ejpam-797	549	60	gβ	gβ	NOUN
ejpam-797	549	61	θ⊥	θ⊥	NOUN
ejpam-797	549	62	=	=	SYM
ejpam-797	549	63	,	,	PUNCT
ejpam-797	549	64	,	,	PUNCT
ejpam-797	550	1	b	b	X
ejpam-797	550	2	bα	bα	PROPN
ejpam-797	550	3	ξ⊥	ξ⊥	VERB
ejpam-797	550	4	⊥	⊥	PROPN
ejpam-797	550	5	=	=	SYM
ejpam-797	550	6			X
ejpam-797	550	7			PRON
ejpam-797	550	8	(	(	PUNCT
ejpam-797	550	9	70	70	NUM
ejpam-797	550	10	)	)	PUNCT
ejpam-797	550	11	where	where	SCONJ
ejpam-797	550	12	g	g	PROPN
ejpam-797	550	13	p×q	p×q	PROPN
ejpam-797	550	14	and	and	CCONJ
ejpam-797	550	15	b	b	NOUN
ejpam-797	550	16	p×n	p×n	PROPN
ejpam-797	550	17	are	be	AUX
ejpam-797	550	18	known	know	VERB
ejpam-797	550	19	matrices	matrix	NOUN
ejpam-797	550	20	and	and	CCONJ
ejpam-797	550	21	θ	θ	NOUN
ejpam-797	550	22	q×(p	q×(p	X
ejpam-797	550	23	-	-	PUNCT
ejpam-797	550	24	r	r	NOUN
ejpam-797	550	25	)	)	PUNCT
ejpam-797	550	26	and	and	CCONJ
ejpam-797	550	27	ξ	ξ	X
ejpam-797	550	28	(	(	PUNCT
ejpam-797	550	29	p	p	X
ejpam-797	550	30	-	-	PUNCT
ejpam-797	550	31	n)×(p	n)×(p	VERB
ejpam-797	550	32	-	-	PUNCT
ejpam-797	550	33	n	n	CCONJ
ejpam-797	550	34	-	-	PUNCT
ejpam-797	550	35	r	r	NOUN
ejpam-797	550	36	)	)	PUNCT
ejpam-797	550	37	are	be	AUX
ejpam-797	550	38	unknown	unknown	ADJ
ejpam-797	550	39	matrices	matrix	NOUN
ejpam-797	550	40	,	,	PUNCT
ejpam-797	550	41	by	by	ADP
ejpam-797	550	42	transforming	transform	VERB
ejpam-797	550	43	this	this	DET
ejpam-797	550	44	problem	problem	NOUN
ejpam-797	550	45	into	into	ADP
ejpam-797	550	46	0h	0h	PROPN
ejpam-797	550	47	above	above	ADP
ejpam-797	550	48	setting	set	VERB
ejpam-797	550	49	h	h	NOUN
ejpam-797	550	50	g⊥=	g⊥=	NOUN
ejpam-797	550	51	,	,	PUNCT
ejpam-797	550	52	a	a	DET
ejpam-797	550	53	b⊥=	b⊥=	NOUN
ejpam-797	550	54	,	,	PUNCT
ejpam-797	550	55	s	s	NOUN
ejpam-797	550	56	=	=	SYM
ejpam-797	550	57	p	p	NOUN
ejpam-797	550	58	-	-	PUNCT
ejpam-797	550	59	q	q	NOUN
ejpam-797	550	60	,	,	PUNCT
ejpam-797	550	61	and	and	CCONJ
ejpam-797	550	62	m	m	PROPN
ejpam-797	550	63	=	=	PROPN
ejpam-797	550	64	p	p	NOUN
ejpam-797	550	65	-	-	PUNCT
ejpam-797	550	66	n.	n.	NOUN
ejpam-797	550	67	this	this	DET
ejpam-797	550	68	test	test	NOUN
ejpam-797	550	69	allows	allow	VERB
ejpam-797	550	70	one	one	NUM
ejpam-797	550	71	simultaneously	simultaneously	ADV
ejpam-797	550	72	to	to	PART
ejpam-797	550	73	test	test	VERB
ejpam-797	550	74	for	for	ADP
ejpam-797	550	75	common	common	ADJ
ejpam-797	550	76	linear	linear	ADJ
ejpam-797	550	77	restrictions	restriction	NOUN
ejpam-797	550	78	on	on	ADP
ejpam-797	550	79	the	the	DET
ejpam-797	550	80	β⊥	β⊥	PROPN
ejpam-797	550	81	vectors	vector	NOUN
ejpam-797	550	82	and	and	CCONJ
ejpam-797	550	83	for	for	ADP
ejpam-797	550	84	known	know	VERB
ejpam-797	550	85	α⊥	α⊥	PROPN
ejpam-797	550	86	vectors	vector	NOUN
ejpam-797	550	87	.	.	PUNCT
ejpam-797	551	1	theorem	theorem	VERB
ejpam-797	551	2	14	14	NUM
ejpam-797	551	3	.	.	PUNCT
ejpam-797	552	1	for	for	ADP
ejpam-797	552	2	(	(	PUNCT
ejpam-797	552	3	8)	8)	NUM
ejpam-797	552	4	0	0	NUM
ejpam-797	552	5	:	:	PUNCT
ejpam-797	552	6	,	,	PUNCT
ejpam-797	552	7	,	,	PUNCT
ejpam-797	552	8	,	,	PUNCT
ejpam-797	552	9	h	h	NOUN
ejpam-797	552	10	h	h	NOUN
ejpam-797	552	11	h	h	NOUN
ejpam-797	553	1	a	a	DET
ejpam-797	553	2	aβ	aβ	NOUN
ejpam-797	553	3	φ	φ	PROPN
ejpam-797	553	4	α	α	PROPN
ejpam-797	553	5	ψ⊥	ψ⊥	PROPN
ejpam-797	553	6	⊥	⊥	PROPN
ejpam-797	553	7			PROPN
ejpam-797	553	8	=	=	PUNCT
ejpam-797	554	1	=	=	NOUN
ejpam-797	554	2			X
ejpam-797	554	3			NOUN
ejpam-797	554	4			NOUN
ejpam-797	554	5			VERB
ejpam-797	554	6	where	where	SCONJ
ejpam-797	554	7	h	h	PROPN
ejpam-797	554	8	p×s	p×s	PROPN
ejpam-797	554	9	,	,	PUNCT
ejpam-797	554	10	a	a	DET
ejpam-797	554	11	p×s	p×s	PROPN
ejpam-797	554	12	are	be	AUX
ejpam-797	554	13	known	know	VERB
ejpam-797	554	14	and	and	CCONJ
ejpam-797	554	15	φ	φ	NUM
ejpam-797	554	16	,	,	PUNCT
ejpam-797	554	17	ψ	ψ	X
ejpam-797	554	18	(	(	PUNCT
ejpam-797	554	19	p	p	X
ejpam-797	554	20	-	-	PUNCT
ejpam-797	554	21	s)×(r	s)×(r	NOUN
ejpam-797	554	22	-	-	PUNCT
ejpam-797	554	23	s	s	NOUN
ejpam-797	554	24	)	)	PUNCT
ejpam-797	554	25	are	be	AUX
ejpam-797	554	26	unknown	unknown	ADJ
ejpam-797	554	27	,	,	PUNCT
ejpam-797	554	28	s≤r	s≤r	PROPN
ejpam-797	554	29	<	<	X
ejpam-797	554	30	p	p	NOUN
ejpam-797	554	31	,	,	PUNCT
ejpam-797	554	32	one	one	PRON
ejpam-797	554	33	may	may	AUX
ejpam-797	554	34	choose	choose	VERB
ejpam-797	554	35	n.	n.	PROPN
ejpam-797	554	36	morin	morin	PROPN
ejpam-797	554	37	/	/	SYM
ejpam-797	554	38	eur	eur	PROPN
ejpam-797	554	39	.	.	PUNCT
ejpam-797	555	1	j.	j.	PROPN
ejpam-797	555	2	pure	pure	PROPN
ejpam-797	555	3	appl	appl	PROPN
ejpam-797	555	4	.	.	PUNCT
ejpam-797	556	1	math	math	NOUN
ejpam-797	556	2	557	557	NUM
ejpam-797	557	1	[	[	PUNCT
ejpam-797	557	2	]	]	X
ejpam-797	557	3	hβ	hβ	AUX
ejpam-797	557	4	φ⊥	φ⊥	ADJ
ejpam-797	557	5	⊥	⊥	PROPN
ejpam-797	557	6	⊥=	⊥=	PROPN
ejpam-797	557	7	,	,	PUNCT
ejpam-797	557	8	aα	aα	NOUN
ejpam-797	557	9	ψ⊥	ψ⊥	PROPN
ejpam-797	557	10	⊥	⊥	PROPN
ejpam-797	557	11	⊥=	⊥=	PROPN
ejpam-797	557	12	(	(	PUNCT
ejpam-797	557	13	71	71	NUM
ejpam-797	557	14	)	)	PUNCT
ejpam-797	557	15	thus	thus	ADV
ejpam-797	557	16	,	,	PUNCT
ejpam-797	557	17	we	we	PRON
ejpam-797	557	18	can	can	AUX
ejpam-797	557	19	test	test	VERB
ejpam-797	557	20	the	the	DET
ejpam-797	557	21	hypothesis	hypothesis	NOUN
ejpam-797	557	22	gβ	gβ	NOUN
ejpam-797	557	23	θ⊥	θ⊥	NOUN
ejpam-797	557	24	=	=	SYM
ejpam-797	557	25	,	,	PUNCT
ejpam-797	557	26	bα	bα	PROPN
ejpam-797	557	27	ξ⊥	ξ⊥	NOUN
ejpam-797	557	28	=	=	SYM
ejpam-797	557	29	(	(	PUNCT
ejpam-797	557	30	72	72	NUM
ejpam-797	557	31	)	)	PUNCT
ejpam-797	557	32	where	where	SCONJ
ejpam-797	557	33	g	g	PROPN
ejpam-797	557	34	p×q	p×q	PROPN
ejpam-797	557	35	and	and	CCONJ
ejpam-797	557	36	b	b	NOUN
ejpam-797	557	37	p×n	p×n	PROPN
ejpam-797	557	38	are	be	AUX
ejpam-797	557	39	known	know	VERB
ejpam-797	557	40	matrices	matrix	NOUN
ejpam-797	557	41	and	and	CCONJ
ejpam-797	557	42	θ	θ	NOUN
ejpam-797	557	43	,	,	PUNCT
ejpam-797	557	44	ξ	ξ	PRON
ejpam-797	557	45	q×(p	q×(p	X
ejpam-797	557	46	-	-	PUNCT
ejpam-797	557	47	r	r	NOUN
ejpam-797	557	48	)	)	PUNCT
ejpam-797	557	49	are	be	AUX
ejpam-797	557	50	unknown	unknown	ADJ
ejpam-797	557	51	matrices	matrix	NOUN
ejpam-797	557	52	,	,	PUNCT
ejpam-797	557	53	by	by	ADP
ejpam-797	557	54	transforming	transform	VERB
ejpam-797	557	55	this	this	DET
ejpam-797	557	56	problem	problem	NOUN
ejpam-797	557	57	into	into	ADP
ejpam-797	557	58	0h	0h	PROPN
ejpam-797	557	59	above	above	ADP
ejpam-797	557	60	setting	set	VERB
ejpam-797	557	61	h	h	NOUN
ejpam-797	557	62	g⊥=	g⊥=	NOUN
ejpam-797	557	63	,	,	PUNCT
ejpam-797	557	64	a	a	DET
ejpam-797	557	65	b⊥=	b⊥=	NOUN
ejpam-797	557	66	,	,	PUNCT
ejpam-797	557	67	s	s	PROPN
ejpam-797	557	68	=	=	SYM
ejpam-797	557	69	p	p	NOUN
ejpam-797	557	70	-	-	PUNCT
ejpam-797	557	71	q.	q.	NOUN
ejpam-797	557	72	this	this	DET
ejpam-797	557	73	test	test	NOUN
ejpam-797	557	74	allows	allow	VERB
ejpam-797	557	75	one	one	NUM
ejpam-797	557	76	simultaneously	simultaneously	ADV
ejpam-797	557	77	to	to	PART
ejpam-797	557	78	test	test	VERB
ejpam-797	557	79	for	for	ADP
ejpam-797	557	80	common	common	ADJ
ejpam-797	557	81	linear	linear	ADJ
ejpam-797	557	82	restrictions	restriction	NOUN
ejpam-797	557	83	on	on	ADP
ejpam-797	557	84	the	the	DET
ejpam-797	557	85	β⊥	β⊥	PROPN
ejpam-797	557	86	vectors	vector	NOUN
ejpam-797	557	87	and	and	CCONJ
ejpam-797	557	88	to	to	PART
ejpam-797	557	89	place	place	VERB
ejpam-797	557	90	common	common	ADJ
ejpam-797	557	91	linear	linear	ADJ
ejpam-797	557	92	restrictions	restriction	NOUN
ejpam-797	557	93	on	on	ADP
ejpam-797	557	94	the	the	DET
ejpam-797	557	95	α⊥	α⊥	PROPN
ejpam-797	557	96	vectors	vector	NOUN
ejpam-797	557	97	.	.	PUNCT
ejpam-797	558	1	these	these	DET
ejpam-797	558	2	theorems	theorem	NOUN
ejpam-797	558	3	allow	allow	VERB
ejpam-797	558	4	one	one	NUM
ejpam-797	558	5	,	,	PUNCT
ejpam-797	558	6	in	in	ADP
ejpam-797	558	7	addition	addition	NOUN
ejpam-797	558	8	,	,	PUNCT
ejpam-797	558	9	to	to	PART
ejpam-797	558	10	combine	combine	VERB
ejpam-797	558	11	the	the	DET
ejpam-797	558	12	tests	test	NOUN
ejpam-797	558	13	on	on	ADP
ejpam-797	558	14	the	the	DET
ejpam-797	558	15	cointegrating	cointegrate	VERB
ejpam-797	558	16	vectors	vector	NOUN
ejpam-797	558	17	and	and	CCONJ
ejpam-797	558	18	adjustment	adjustment	NOUN
ejpam-797	558	19	vectors	vector	NOUN
ejpam-797	558	20	with	with	ADP
ejpam-797	558	21	those	those	PRON
ejpam-797	558	22	on	on	ADP
ejpam-797	558	23	the	the	DET
ejpam-797	558	24	respective	respective	ADJ
ejpam-797	558	25	orthogonal	orthogonal	ADJ
ejpam-797	558	26	complements	complement	NOUN
ejpam-797	558	27	.	.	PUNCT
ejpam-797	559	1	for	for	ADP
ejpam-797	559	2	example	example	NOUN
ejpam-797	559	3	,	,	PUNCT
ejpam-797	559	4	one	one	PRON
ejpam-797	559	5	could	could	AUX
ejpam-797	559	6	use	use	VERB
ejpam-797	559	7	theorem	theorem	ADJ
ejpam-797	559	8	13	13	NUM
ejpam-797	559	9	to	to	PART
ejpam-797	559	10	test	test	VERB
ejpam-797	559	11	that	that	SCONJ
ejpam-797	559	12	the	the	DET
ejpam-797	559	13	cointegrating	cointegrate	VERB
ejpam-797	559	14	vectors	vector	NOUN
ejpam-797	559	15	share	share	VERB
ejpam-797	559	16	certain	certain	ADJ
ejpam-797	559	17	linear	linear	PROPN
ejpam-797	559	18	restrictions	restriction	NOUN
ejpam-797	559	19	(	(	PUNCT
ejpam-797	559	20	say	say	INTJ
ejpam-797	559	21	,	,	PUNCT
ejpam-797	559	22	ratios	ratio	NOUN
ejpam-797	559	23	or	or	CCONJ
ejpam-797	559	24	spreads	spread	NOUN
ejpam-797	559	25	,	,	PUNCT
ejpam-797	559	26	or	or	CCONJ
ejpam-797	559	27	that	that	SCONJ
ejpam-797	559	28	some	some	DET
ejpam-797	559	29	subset	subset	NOUN
ejpam-797	559	30	of	of	ADP
ejpam-797	559	31	variables	variable	NOUN
ejpam-797	559	32	do	do	AUX
ejpam-797	559	33	not	not	PART
ejpam-797	559	34	enter	enter	VERB
ejpam-797	559	35	the	the	DET
ejpam-797	559	36	cointegrating	cointegrate	VERB
ejpam-797	559	37	relationships	relationship	NOUN
ejpam-797	559	38	)	)	PUNCT
ejpam-797	559	39	and	and	CCONJ
ejpam-797	559	40	that	that	SCONJ
ejpam-797	559	41	some	some	DET
ejpam-797	559	42	subset	subset	NOUN
ejpam-797	559	43	of	of	ADP
ejpam-797	559	44	the	the	DET
ejpam-797	559	45	common	common	ADJ
ejpam-797	559	46	stochastic	stochastic	ADJ
ejpam-797	559	47	trends	trend	NOUN
ejpam-797	559	48	are	be	AUX
ejpam-797	559	49	known	know	VERB
ejpam-797	559	50	:	:	PUNCT
ejpam-797	559	51	0	0	NUM
ejpam-797	559	52	:	:	PUNCT
ejpam-797	559	53	,	,	PUNCT
ejpam-797	559	54	,	,	PUNCT
ejpam-797	560	1	h	h	PROPN
ejpam-797	560	2	h	h	NOUN
ejpam-797	561	1	b	b	PROPN
ejpam-797	561	2	bβ	bβ	NOUN
ejpam-797	561	3	φ	φ	PROPN
ejpam-797	561	4	α	α	PROPN
ejpam-797	561	5	ξ⊥	ξ⊥	PROPN
ejpam-797	561	6	⊥	⊥	INTJ
ejpam-797	561	7	=	=	PUNCT
ejpam-797	561	8	=	=	SYM
ejpam-797	561	9			NOUN
ejpam-797	561	10			NOUN
ejpam-797	561	11	.	.	PUNCT
ejpam-797	562	1	the	the	DET
ejpam-797	562	2	tests	test	NOUN
ejpam-797	562	3	(	(	PUNCT
ejpam-797	562	4	1	1	X
ejpam-797	562	5	)	)	PUNCT
ejpam-797	562	6	through	through	ADP
ejpam-797	562	7	(	(	PUNCT
ejpam-797	562	8	8)	8)	NUM
ejpam-797	562	9	can	can	AUX
ejpam-797	562	10	be	be	AUX
ejpam-797	562	11	recast	recast	VERB
ejpam-797	562	12	as	as	ADP
ejpam-797	562	13	tests	test	NOUN
ejpam-797	562	14	of	of	ADP
ejpam-797	562	15	the	the	DET
ejpam-797	562	16	hypotheses	hypothesis	NOUN
ejpam-797	562	17	that	that	PRON
ejpam-797	562	18	are	be	AUX
ejpam-797	562	19	displayed	display	VERB
ejpam-797	562	20	below	below	ADP
ejpam-797	562	21	:	:	PUNCT
ejpam-797	562	22	test	test	NOUN
ejpam-797	562	23	(	(	PUNCT
ejpam-797	562	24	1	1	X
ejpam-797	562	25	)	)	PUNCT
ejpam-797	562	26	hβ	hβ	NOUN
ejpam-797	562	27	φ=	φ=	NOUN
ejpam-797	562	28	,	,	PUNCT
ejpam-797	562	29	g	g	NOUN
ejpam-797	562	30	gβ	gβ	PROPN
ejpam-797	562	31	θ⊥	θ⊥	NOUN
ejpam-797	562	32	⊥	⊥	X
ejpam-797	562	33	=	=	X
ejpam-797	562	34			NOUN
ejpam-797	562	35			NOUN
ejpam-797	562	36	test	test	NOUN
ejpam-797	562	37	(	(	PUNCT
ejpam-797	562	38	2	2	NUM
ejpam-797	562	39	)	)	PUNCT
ejpam-797	562	40	,	,	PUNCT
ejpam-797	562	41	h	h	NOUN
ejpam-797	562	42	hβ	hβ	PROPN
ejpam-797	562	43	φ⊥	φ⊥	NOUN
ejpam-797	562	44	=	=	PUNCT
ejpam-797	562	45			NOUN
ejpam-797	563	1			NOUN
ejpam-797	563	2	gβ	gβ	NOUN
ejpam-797	563	3	θ⊥	θ⊥	NOUN
ejpam-797	563	4	=	=	SYM
ejpam-797	563	5	test	test	NOUN
ejpam-797	563	6	(	(	PUNCT
ejpam-797	563	7	3	3	X
ejpam-797	563	8	)	)	PUNCT
ejpam-797	563	9	aα	aα	NOUN
ejpam-797	563	10	ψ=	ψ=	NOUN
ejpam-797	563	11	,	,	PUNCT
ejpam-797	563	12	b	b	PROPN
ejpam-797	563	13	bα	bα	PROPN
ejpam-797	563	14	ξ⊥	ξ⊥	VERB
ejpam-797	563	15	⊥	⊥	PROPN
ejpam-797	563	16	=	=	SYM
ejpam-797	563	17			NOUN
ejpam-797	563	18			NOUN
ejpam-797	563	19	test	test	NOUN
ejpam-797	563	20	(	(	PUNCT
ejpam-797	563	21	4	4	NUM
ejpam-797	563	22	)	)	PUNCT
ejpam-797	563	23	,	,	PUNCT
ejpam-797	563	24	a	a	DET
ejpam-797	563	25	aα	aα	NOUN
ejpam-797	563	26	ψ⊥	ψ⊥	NOUN
ejpam-797	563	27	=	=	X
ejpam-797	563	28			NOUN
ejpam-797	563	29			NOUN
ejpam-797	564	1	bα	bα	PROPN
ejpam-797	564	2	ξ⊥	ξ⊥	NOUN
ejpam-797	564	3	=	=	SYM
ejpam-797	564	4	test	test	NOUN
ejpam-797	564	5	(	(	PUNCT
ejpam-797	564	6	5	5	X
ejpam-797	564	7	)	)	PUNCT
ejpam-797	564	8	h	h	NOUN
ejpam-797	564	9	a	a	DET
ejpam-797	564	10	β	β	X
ejpam-797	564	11	φ	φ	X
ejpam-797	564	12	α	α	NOUN
ejpam-797	564	13	ψ	ψ	NOUN
ejpam-797	564	14	=	=	SYM
ejpam-797	564	15	=	=	X
ejpam-797	564	16	,	,	PUNCT
ejpam-797	564	17	h	h	PROPN
ejpam-797	564	18	b	b	PROPN
ejpam-797	564	19	b	b	PROPN
ejpam-797	564	20	β	β	X
ejpam-797	564	21	φ	φ	PROPN
ejpam-797	564	22	α	α	PROPN
ejpam-797	564	23	ξ⊥	ξ⊥	PROPN
ejpam-797	564	24	⊥	⊥	PROPN
ejpam-797	564	25	=	=	SYM
ejpam-797	564	26			NOUN
ejpam-797	564	27	=	=	SYM
ejpam-797	564	28			NOUN
ejpam-797	564	29			PROPN
ejpam-797	564	30	,	,	PUNCT
ejpam-797	564	31	g	g	PROPN
ejpam-797	564	32	g	g	PROPN
ejpam-797	564	33	a	a	PRON
ejpam-797	564	34	β	β	X
ejpam-797	564	35	θ	θ	X
ejpam-797	564	36	α	α	NOUN
ejpam-797	564	37	ψ	ψ	X
ejpam-797	564	38	⊥	⊥	PROPN
ejpam-797	564	39	⊥	⊥	X
ejpam-797	564	40	=	=	X
ejpam-797	564	41			NOUN
ejpam-797	564	42			PROPN
ejpam-797	564	43	=	=	SYM
ejpam-797	564	44	,	,	PUNCT
ejpam-797	564	45	,	,	PUNCT
ejpam-797	564	46	g	g	PROPN
ejpam-797	564	47	g	g	PROPN
ejpam-797	564	48	b	b	PROPN
ejpam-797	564	49	b	b	PROPN
ejpam-797	564	50	β	β	X
ejpam-797	564	51	θ	θ	NOUN
ejpam-797	564	52	α	α	X
ejpam-797	564	53	ξ	ξ	PROPN
ejpam-797	564	54	⊥	⊥	X
ejpam-797	564	55	⊥	⊥	X
ejpam-797	564	56	⊥	⊥	X
ejpam-797	564	57	⊥	⊥	PROPN
ejpam-797	564	58			NOUN
ejpam-797	564	59	=	=	X
ejpam-797	564	60			NOUN
ejpam-797	564	61			NOUN
ejpam-797	564	62			NOUN
ejpam-797	564	63	=	=	SYM
ejpam-797	564	64			NOUN
ejpam-797	564	65			NOUN
ejpam-797	564	66	test	test	NOUN
ejpam-797	564	67	(	(	PUNCT
ejpam-797	564	68	6	6	NUM
ejpam-797	564	69	)	)	PUNCT
ejpam-797	564	70	,	,	PUNCT
ejpam-797	564	71	h	h	NOUN
ejpam-797	564	72	h	h	NOUN
ejpam-797	564	73	a	a	PRON
ejpam-797	564	74	β	β	X
ejpam-797	564	75	φ	φ	PROPN
ejpam-797	564	76	α	α	PROPN
ejpam-797	564	77	ψ	ψ	X
ejpam-797	564	78	⊥	⊥	X
ejpam-797	564	79	=	=	SYM
ejpam-797	564	80			NOUN
ejpam-797	564	81			PROPN
ejpam-797	564	82	=	=	SYM
ejpam-797	564	83	,	,	PUNCT
ejpam-797	564	84	,	,	PUNCT
ejpam-797	564	85	h	h	NOUN
ejpam-797	564	86	h	h	PROPN
ejpam-797	564	87	b	b	PROPN
ejpam-797	564	88	b	b	PROPN
ejpam-797	564	89	β	β	X
ejpam-797	564	90	φ	φ	X
ejpam-797	564	91	α	α	X
ejpam-797	564	92	ξ	ξ	PROPN
ejpam-797	564	93	⊥	⊥	X
ejpam-797	564	94	⊥	⊥	X
ejpam-797	564	95	⊥	⊥	PROPN
ejpam-797	564	96			NOUN
ejpam-797	564	97	=	=	X
ejpam-797	564	98			NOUN
ejpam-797	564	99			NOUN
ejpam-797	564	100			NOUN
ejpam-797	564	101	=	=	SYM
ejpam-797	564	102			NOUN
ejpam-797	564	103			PUNCT
ejpam-797	564	104	g	g	NOUN
ejpam-797	564	105	a	a	PRON
ejpam-797	564	106	β	β	X
ejpam-797	564	107	θ	θ	X
ejpam-797	564	108	α	α	NOUN
ejpam-797	564	109	ψ	ψ	X
ejpam-797	564	110	⊥	⊥	PROPN
ejpam-797	564	111	=	=	SYM
ejpam-797	565	1	=	=	X
ejpam-797	565	2	,	,	PUNCT
ejpam-797	565	3	g	g	PROPN
ejpam-797	565	4	b	b	PROPN
ejpam-797	565	5	b	b	PROPN
ejpam-797	565	6	β	β	X
ejpam-797	565	7	θ	θ	NOUN
ejpam-797	565	8	α	α	X
ejpam-797	565	9	ξ	ξ	X
ejpam-797	565	10	⊥	⊥	X
ejpam-797	565	11	⊥	⊥	X
ejpam-797	565	12	⊥	⊥	PROPN
ejpam-797	565	13	=	=	PUNCT
ejpam-797	565	14			NOUN
ejpam-797	565	15	=	=	X
ejpam-797	565	16			NOUN
ejpam-797	565	17			NOUN
ejpam-797	565	18	test	test	NOUN
ejpam-797	565	19	(	(	PUNCT
ejpam-797	565	20	7	7	NUM
ejpam-797	565	21	)	)	PUNCT
ejpam-797	565	22	,	,	PUNCT
ejpam-797	565	23	h	h	NOUN
ejpam-797	565	24	a	a	DET
ejpam-797	565	25	a	a	X
ejpam-797	565	26	β	β	X
ejpam-797	565	27	φ	φ	X
ejpam-797	565	28	α	α	PROPN
ejpam-797	565	29	ψ⊥	ψ⊥	NOUN
ejpam-797	565	30	=	=	NOUN
ejpam-797	565	31			NOUN
ejpam-797	565	32	=	=	X
ejpam-797	565	33			NOUN
ejpam-797	565	34			NOUN
ejpam-797	565	35	h	h	NOUN
ejpam-797	565	36	b	b	PROPN
ejpam-797	565	37	β	β	X
ejpam-797	565	38	φ	φ	X
ejpam-797	565	39	α	α	PRON
ejpam-797	565	40	ξ⊥	ξ⊥	NOUN
ejpam-797	565	41	=	=	SYM
ejpam-797	565	42	=	=	SYM
ejpam-797	565	43	,	,	PUNCT
ejpam-797	565	44	,	,	PUNCT
ejpam-797	565	45	g	g	PROPN
ejpam-797	565	46	g	g	PROPN
ejpam-797	565	47	a	a	DET
ejpam-797	565	48	a	a	PRON
ejpam-797	565	49	β	β	X
ejpam-797	565	50	θ	θ	X
ejpam-797	565	51	α	α	NOUN
ejpam-797	565	52	ψ	ψ	X
ejpam-797	565	53	⊥	⊥	PROPN
ejpam-797	565	54	⊥	⊥	PROPN
ejpam-797	565	55	⊥	⊥	PROPN
ejpam-797	565	56			NOUN
ejpam-797	565	57	=	=	X
ejpam-797	565	58			NOUN
ejpam-797	565	59			NOUN
ejpam-797	565	60			NOUN
ejpam-797	565	61	=	=	SYM
ejpam-797	565	62			NOUN
ejpam-797	565	63			PROPN
ejpam-797	565	64	,	,	PUNCT
ejpam-797	565	65	g	g	PROPN
ejpam-797	565	66	g	g	PROPN
ejpam-797	565	67	b	b	PROPN
ejpam-797	565	68	β	β	X
ejpam-797	565	69	θ	θ	NOUN
ejpam-797	565	70	α	α	X
ejpam-797	565	71	ξ	ξ	PROPN
ejpam-797	565	72	⊥	⊥	X
ejpam-797	565	73	⊥	⊥	X
ejpam-797	565	74	⊥	⊥	PROPN
ejpam-797	565	75			NOUN
ejpam-797	565	76	=	=	X
ejpam-797	565	77			NOUN
ejpam-797	565	78			PROPN
ejpam-797	565	79	=	=	SYM
ejpam-797	565	80	test	test	NOUN
ejpam-797	565	81	(	(	PUNCT
ejpam-797	565	82	8)	8)	NUM
ejpam-797	565	83	,	,	PUNCT
ejpam-797	565	84	,	,	PUNCT
ejpam-797	565	85	h	h	NOUN
ejpam-797	565	86	h	h	NOUN
ejpam-797	565	87	a	a	DET
ejpam-797	565	88	a	a	X
ejpam-797	565	89	β	β	X
ejpam-797	565	90	φ	φ	X
ejpam-797	565	91	α	α	PROPN
ejpam-797	565	92	ψ	ψ	PROPN
ejpam-797	565	93	⊥	⊥	PROPN
ejpam-797	565	94	⊥	⊥	PROPN
ejpam-797	565	95			NOUN
ejpam-797	565	96	=	=	X
ejpam-797	565	97			NOUN
ejpam-797	565	98			NOUN
ejpam-797	565	99			NOUN
ejpam-797	565	100	=	=	SYM
ejpam-797	565	101			NOUN
ejpam-797	565	102			NOUN
ejpam-797	565	103	,	,	PUNCT
ejpam-797	565	104	h	h	NOUN
ejpam-797	565	105	h	h	NOUN
ejpam-797	565	106	b	b	PROPN
ejpam-797	565	107	β	β	X
ejpam-797	565	108	φ	φ	X
ejpam-797	565	109	α	α	X
ejpam-797	565	110	ξ	ξ	PROPN
ejpam-797	565	111	⊥	⊥	X
ejpam-797	565	112	⊥	⊥	NUM
ejpam-797	565	113			NOUN
ejpam-797	565	114	=	=	X
ejpam-797	565	115			NOUN
ejpam-797	565	116			PROPN
ejpam-797	565	117	=	=	X
ejpam-797	565	118	,	,	PUNCT
ejpam-797	565	119	g	g	PROPN
ejpam-797	565	120	a	a	PRON
ejpam-797	565	121	a	a	DET
ejpam-797	565	122	β	β	X
ejpam-797	565	123	θ	θ	X
ejpam-797	565	124	α	α	NOUN
ejpam-797	565	125	ψ	ψ	X
ejpam-797	565	126	⊥	⊥	PROPN
ejpam-797	565	127	⊥	⊥	NOUN
ejpam-797	565	128	=	=	PUNCT
ejpam-797	565	129			NOUN
ejpam-797	565	130	=	=	X
ejpam-797	565	131			NOUN
ejpam-797	566	1			PROPN
ejpam-797	566	2	g	g	NOUN
ejpam-797	566	3	b	b	PROPN
ejpam-797	566	4	β	β	X
ejpam-797	566	5	θ	θ	NOUN
ejpam-797	566	6	α	α	X
ejpam-797	566	7	ξ	ξ	X
ejpam-797	566	8	⊥	⊥	X
ejpam-797	566	9	⊥	⊥	NOUN
ejpam-797	566	10	=	=	PUNCT
ejpam-797	567	1	=	=	SYM
ejpam-797	567	2	where	where	SCONJ
ejpam-797	567	3	,	,	PUNCT
ejpam-797	567	4	,	,	PUNCT
ejpam-797	567	5	,	,	PUNCT
ejpam-797	567	6	,	,	PUNCT
ejpam-797	567	7	g	g	PROPN
ejpam-797	567	8	h	h	PROPN
ejpam-797	567	9	b	b	PROPN
ejpam-797	567	10	a	a	PRON
ejpam-797	567	11	θ	θ	PROPN
ejpam-797	567	12	φ	φ	PROPN
ejpam-797	567	13	ζ	ζ	PROPN
ejpam-797	567	14	ψ⊥	ψ⊥	PROPN
ejpam-797	567	15	⊥	⊥	PROPN
ejpam-797	567	16	⊥	⊥	PROPN
ejpam-797	567	17	⊥=	⊥=	PROPN
ejpam-797	567	18	=	=	PUNCT
ejpam-797	567	19	=	=	PUNCT
ejpam-797	567	20	=	=	PUNCT
ejpam-797	567	21	and	and	CCONJ
ejpam-797	567	22	vice	vice	ADV
ejpam-797	567	23	versa	versa	ADV
ejpam-797	567	24	.	.	PUNCT
ejpam-797	568	1	5	5	X
ejpam-797	568	2	.	.	X
ejpam-797	568	3	conclusion	conclusion	NOUN
ejpam-797	568	4	this	this	DET
ejpam-797	568	5	paper	paper	NOUN
ejpam-797	568	6	has	have	VERB
ejpam-797	568	7	two	two	NUM
ejpam-797	568	8	aims	aim	NOUN
ejpam-797	568	9	.	.	PUNCT
ejpam-797	569	1	the	the	DET
ejpam-797	569	2	first	first	ADJ
ejpam-797	569	3	is	be	AUX
ejpam-797	569	4	to	to	PART
ejpam-797	569	5	develop	develop	VERB
ejpam-797	569	6	three	three	NUM
ejpam-797	569	7	new	new	ADJ
ejpam-797	569	8	hypothesis	hypothesis	NOUN
ejpam-797	569	9	tests	test	NOUN
ejpam-797	569	10	for	for	ADP
ejpam-797	569	11	combining	combine	VERB
ejpam-797	569	12	structural	structural	ADJ
ejpam-797	569	13	hypotheses	hypothesis	NOUN
ejpam-797	569	14	on	on	ADP
ejpam-797	569	15	cointegrating	cointegrate	VERB
ejpam-797	569	16	relationships	relationship	NOUN
ejpam-797	569	17	and	and	CCONJ
ejpam-797	569	18	on	on	ADP
ejpam-797	569	19	their	their	PRON
ejpam-797	569	20	disequilibrium	disequilibrium	NOUN
ejpam-797	569	21	adjustment	adjustment	NOUN
ejpam-797	569	22	vectors	vector	NOUN
ejpam-797	569	23	in	in	ADP
ejpam-797	569	24	johansen	johansen	PROPN
ejpam-797	569	25	’s	’s	PART
ejpam-797	569	26	[	[	X
ejpam-797	569	27	19	19	NUM
ejpam-797	569	28	]	]	PUNCT
ejpam-797	569	29	multivariate	multivariate	NOUN
ejpam-797	569	30	maximum	maximum	ADJ
ejpam-797	569	31	likelihood	likelihood	NOUN
ejpam-797	569	32	cointegration	cointegration	NOUN
ejpam-797	569	33	framework	framework	NOUN
ejpam-797	569	34	.	.	PUNCT
ejpam-797	570	1	these	these	DET
ejpam-797	570	2	tests	test	NOUN
ejpam-797	570	3	possess	possess	VERB
ejpam-797	570	4	closed	closed	ADJ
ejpam-797	570	5	-	-	PUNCT
ejpam-797	570	6	form	form	NOUN
ejpam-797	570	7	solutions	solution	NOUN
ejpam-797	570	8	for	for	ADP
ejpam-797	570	9	parameter	parameter	NOUN
ejpam-797	570	10	estimates	estimate	NOUN
ejpam-797	570	11	under	under	ADP
ejpam-797	570	12	the	the	DET
ejpam-797	570	13	null	null	ADJ
ejpam-797	570	14	references	reference	NOUN
ejpam-797	570	15	558	558	NUM
ejpam-797	570	16	hypothesis	hypothesis	NOUN
ejpam-797	570	17	.	.	PUNCT
ejpam-797	571	1	the	the	DET
ejpam-797	571	2	second	second	NOUN
ejpam-797	571	3	is	be	AUX
ejpam-797	571	4	to	to	PART
ejpam-797	571	5	demonstrate	demonstrate	VERB
ejpam-797	571	6	the	the	DET
ejpam-797	571	7	implications	implication	NOUN
ejpam-797	571	8	that	that	SCONJ
ejpam-797	571	9	the	the	DET
ejpam-797	571	10	tests	test	NOUN
ejpam-797	571	11	for	for	ADP
ejpam-797	571	12	restrictions	restriction	NOUN
ejpam-797	571	13	on	on	ADP
ejpam-797	571	14	the	the	DET
ejpam-797	571	15	cointegration	cointegration	NOUN
ejpam-797	571	16	vectors	vector	NOUN
ejpam-797	571	17	and	and	CCONJ
ejpam-797	571	18	disequilibrium	disequilibrium	NOUN
ejpam-797	571	19	adjustment	adjustment	NOUN
ejpam-797	571	20	vectors	vector	NOUN
ejpam-797	571	21	have	have	VERB
ejpam-797	571	22	for	for	ADP
ejpam-797	571	23	the	the	DET
ejpam-797	571	24	orthogonal	orthogonal	ADJ
ejpam-797	571	25	complements	complement	NOUN
ejpam-797	571	26	of	of	ADP
ejpam-797	571	27	these	these	DET
ejpam-797	571	28	quantities	quantity	NOUN
ejpam-797	571	29	,	,	PUNCT
ejpam-797	571	30	and	and	CCONJ
ejpam-797	571	31	how	how	SCONJ
ejpam-797	571	32	these	these	DET
ejpam-797	571	33	tests	test	NOUN
ejpam-797	571	34	can	can	AUX
ejpam-797	571	35	be	be	AUX
ejpam-797	571	36	formulated	formulate	VERB
ejpam-797	571	37	as	as	ADP
ejpam-797	571	38	tests	test	NOUN
ejpam-797	571	39	on	on	ADP
ejpam-797	571	40	the	the	DET
ejpam-797	571	41	orthogonal	orthogonal	ADJ
ejpam-797	571	42	complements	complement	NOUN
ejpam-797	571	43	.	.	PUNCT
ejpam-797	572	1	this	this	PRON
ejpam-797	572	2	is	be	AUX
ejpam-797	572	3	useful	useful	ADJ
ejpam-797	572	4	since	since	SCONJ
ejpam-797	572	5	the	the	DET
ejpam-797	572	6	various	various	ADJ
ejpam-797	572	7	specifications	specification	NOUN
ejpam-797	572	8	of	of	ADP
ejpam-797	572	9	multivariate	multivariate	NOUN
ejpam-797	572	10	common	common	ADJ
ejpam-797	572	11	stochastic	stochastic	ADJ
ejpam-797	572	12	trends	trend	NOUN
ejpam-797	572	13	and	and	CCONJ
ejpam-797	572	14	permanent	permanent	ADJ
ejpam-797	572	15	components	component	NOUN
ejpam-797	572	16	are	be	AUX
ejpam-797	572	17	derived	derive	VERB
ejpam-797	572	18	from	from	ADP
ejpam-797	572	19	these	these	DET
ejpam-797	572	20	orthogonal	orthogonal	ADJ
ejpam-797	572	21	complements	complement	NOUN
ejpam-797	572	22	.	.	PUNCT
ejpam-797	573	1	thus	thus	ADV
ejpam-797	573	2	,	,	PUNCT
ejpam-797	573	3	one	one	PRON
ejpam-797	573	4	may	may	AUX
ejpam-797	573	5	combine	combine	VERB
ejpam-797	573	6	tests	test	NOUN
ejpam-797	573	7	for	for	ADP
ejpam-797	573	8	restrictions	restriction	NOUN
ejpam-797	573	9	on	on	ADP
ejpam-797	573	10	the	the	DET
ejpam-797	573	11	long	long	ADJ
ejpam-797	573	12	-	-	PUNCT
ejpam-797	573	13	run	run	NOUN
ejpam-797	573	14	relationships	relationship	NOUN
ejpam-797	573	15	represented	represent	VERB
ejpam-797	573	16	by	by	ADP
ejpam-797	573	17	cointegrating	cointegrate	VERB
ejpam-797	573	18	relationships	relationship	NOUN
ejpam-797	573	19	,	,	PUNCT
ejpam-797	573	20	the	the	DET
ejpam-797	573	21	adjustments	adjustment	NOUN
ejpam-797	573	22	to	to	ADP
ejpam-797	573	23	them	they	PRON
ejpam-797	573	24	,	,	PUNCT
ejpam-797	573	25	and	and	CCONJ
ejpam-797	573	26	the	the	DET
ejpam-797	573	27	common	common	ADJ
ejpam-797	573	28	stochastic	stochastic	ADJ
ejpam-797	573	29	trends	trend	NOUN
ejpam-797	573	30	of	of	ADP
ejpam-797	573	31	a	a	DET
ejpam-797	573	32	system	system	NOUN
ejpam-797	573	33	of	of	ADP
ejpam-797	573	34	variables	variable	NOUN
ejpam-797	573	35	.	.	PUNCT
ejpam-797	574	1	acknowledgement	acknowledgement	NOUN
ejpam-797	574	2	the	the	DET
ejpam-797	574	3	genesis	genesis	NOUN
ejpam-797	574	4	of	of	ADP
ejpam-797	574	5	this	this	DET
ejpam-797	574	6	paper	paper	NOUN
ejpam-797	574	7	occurred	occur	VERB
ejpam-797	574	8	,	,	PUNCT
ejpam-797	574	9	in	in	ADP
ejpam-797	574	10	part	part	NOUN
ejpam-797	574	11	,	,	PUNCT
ejpam-797	574	12	during	during	ADP
ejpam-797	574	13	conversations	conversation	NOUN
ejpam-797	574	14	with	with	ADP
ejpam-797	574	15	professor	professor	NOUN
ejpam-797	574	16	granger	granger	PROPN
ejpam-797	574	17	in	in	ADP
ejpam-797	574	18	his	his	PRON
ejpam-797	574	19	office	office	NOUN
ejpam-797	574	20	.	.	PUNCT
ejpam-797	575	1	references	reference	NOUN
ejpam-797	575	2	[	[	X
ejpam-797	575	3	1	1	X
ejpam-797	575	4	]	]	PUNCT
ejpam-797	575	5	s.	s.	PROPN
ejpam-797	575	6	beveridge	beveridge	PROPN
ejpam-797	575	7	and	and	CCONJ
ejpam-797	575	8	c.r	c.r	PROPN
ejpam-797	575	9	.	.	PROPN
ejpam-797	575	10	nelson	nelson	PROPN
ejpam-797	575	11	.	.	PUNCT
ejpam-797	576	1	a	a	DET
ejpam-797	576	2	new	new	ADJ
ejpam-797	576	3	approach	approach	NOUN
ejpam-797	576	4	to	to	ADP
ejpam-797	576	5	decomposition	decomposition	NOUN
ejpam-797	576	6	of	of	ADP
ejpam-797	576	7	economic	economic	ADJ
ejpam-797	576	8	time	time	NOUN
ejpam-797	576	9	series	series	NOUN
ejpam-797	576	10	into	into	ADP
ejpam-797	576	11	permanent	permanent	ADJ
ejpam-797	576	12	and	and	CCONJ
ejpam-797	576	13	transitory	transitory	ADJ
ejpam-797	576	14	components	component	NOUN
ejpam-797	576	15	with	with	ADP
ejpam-797	576	16	particular	particular	ADJ
ejpam-797	576	17	attention	attention	NOUN
ejpam-797	576	18	to	to	ADP
ejpam-797	576	19	measurement	measurement	NOUN
ejpam-797	576	20	of	of	ADP
ejpam-797	576	21	the	the	DET
ejpam-797	576	22	‘	'	PUNCT
ejpam-797	576	23	business	business	NOUN
ejpam-797	576	24	cycle	cycle	NOUN
ejpam-797	576	25	’	'	PUNCT
ejpam-797	576	26	.	.	PUNCT
ejpam-797	577	1	journal	journal	PROPN
ejpam-797	577	2	of	of	ADP
ejpam-797	577	3	monetary	monetary	ADJ
ejpam-797	577	4	economics	economic	NOUN
ejpam-797	577	5	,	,	PUNCT
ejpam-797	577	6	7:151	7:151	NUM
ejpam-797	577	7	-	-	SYM
ejpam-797	577	8	174	174	NUM
ejpam-797	577	9	,	,	PUNCT
ejpam-797	577	10	1981	1981	NUM
ejpam-797	577	11	.	.	PUNCT
ejpam-797	578	1	[	[	X
ejpam-797	578	2	2	2	NUM
ejpam-797	578	3	]	]	X
ejpam-797	578	4	y	y	PROPN
ejpam-797	578	5	-	-	PUNCT
ejpam-797	578	6	w	w	PROPN
ejpam-797	578	7	cheung	cheung	PROPN
ejpam-797	578	8	and	and	CCONJ
ejpam-797	578	9	k.s	k.s	PROPN
ejpam-797	578	10	.	.	PROPN
ejpam-797	578	11	lai	lai	PROPN
ejpam-797	578	12	.	.	PUNCT
ejpam-797	579	1	finite	finite	PROPN
ejpam-797	579	2	-	-	PUNCT
ejpam-797	579	3	sample	sample	ADJ
ejpam-797	579	4	sizes	size	NOUN
ejpam-797	579	5	of	of	ADP
ejpam-797	579	6	johansen	johansen	PROPN
ejpam-797	579	7	's	's	PART
ejpam-797	579	8	likelihood	likelihood	NOUN
ejpam-797	579	9	ratio	ratio	NOUN
ejpam-797	579	10	tests	test	NOUN
ejpam-797	579	11	for	for	ADP
ejpam-797	579	12	cointegration	cointegration	NOUN
ejpam-797	579	13	.	.	PUNCT
ejpam-797	580	1	oxford	oxford	ADJ
ejpam-797	580	2	bulletin	bulletin	NOUN
ejpam-797	580	3	of	of	ADP
ejpam-797	580	4	economics	economic	NOUN
ejpam-797	580	5	and	and	CCONJ
ejpam-797	580	6	statistics	statistic	NOUN
ejpam-797	580	7	,	,	PUNCT
ejpam-797	580	8	55:313	55:313	NUM
ejpam-797	580	9	-	-	SYM
ejpam-797	580	10	328	328	NUM
ejpam-797	580	11	,	,	PUNCT
ejpam-797	580	12	1993	1993	NUM
ejpam-797	580	13	.	.	PUNCT
ejpam-797	581	1	[	[	X
ejpam-797	581	2	3	3	NUM
ejpam-797	581	3	]	]	X
ejpam-797	581	4	j	j	PROPN
ejpam-797	581	5	cochrane	cochrane	PROPN
ejpam-797	581	6	.	.	PUNCT
ejpam-797	582	1	univariate	univariate	ADJ
ejpam-797	582	2	vs.	vs.	ADP
ejpam-797	582	3	multivariate	multivariate	NOUN
ejpam-797	582	4	forecasts	forecast	NOUN
ejpam-797	582	5	of	of	ADP
ejpam-797	582	6	gnp	gnp	PROPN
ejpam-797	582	7	growth	growth	NOUN
ejpam-797	582	8	and	and	CCONJ
ejpam-797	582	9	stock	stock	NOUN
ejpam-797	582	10	returns	return	NOUN
ejpam-797	582	11	:	:	PUNCT
ejpam-797	582	12	evidence	evidence	NOUN
ejpam-797	582	13	and	and	CCONJ
ejpam-797	582	14	implications	implication	NOUN
ejpam-797	582	15	for	for	ADP
ejpam-797	582	16	the	the	DET
ejpam-797	582	17	persistence	persistence	NOUN
ejpam-797	582	18	of	of	ADP
ejpam-797	582	19	shocks	shock	NOUN
ejpam-797	582	20	,	,	PUNCT
ejpam-797	582	21	detrending	detrende	VERB
ejpam-797	582	22	methods	method	NOUN
ejpam-797	582	23	,	,	PUNCT
ejpam-797	582	24	and	and	CCONJ
ejpam-797	582	25	tests	test	NOUN
ejpam-797	582	26	of	of	ADP
ejpam-797	582	27	the	the	DET
ejpam-797	582	28	permanent	permanent	ADJ
ejpam-797	582	29	income	income	NOUN
ejpam-797	582	30	hypothesis	hypothesis	NOUN
ejpam-797	582	31	.	.	PUNCT
ejpam-797	583	1	working	work	VERB
ejpam-797	583	2	paper	paper	NOUN
ejpam-797	583	3	3427	3427	NUM
ejpam-797	583	4	,	,	PUNCT
ejpam-797	583	5	national	national	ADJ
ejpam-797	583	6	bureau	bureau	NOUN
ejpam-797	583	7	of	of	ADP
ejpam-797	583	8	economic	economic	ADJ
ejpam-797	583	9	research	research	NOUN
ejpam-797	583	10	,	,	PUNCT
ejpam-797	583	11	cambridge	cambridge	PROPN
ejpam-797	583	12	,	,	PUNCT
ejpam-797	583	13	ma	ma	PROPN
ejpam-797	583	14	,	,	PUNCT
ejpam-797	583	15	1994	1994	NUM
ejpam-797	583	16	.	.	PUNCT
ejpam-797	584	1	[	[	X
ejpam-797	584	2	4	4	NUM
ejpam-797	584	3	]	]	X
ejpam-797	584	4	j	j	PROPN
ejpam-797	584	5	cochrane	cochrane	PROPN
ejpam-797	584	6	.	.	PUNCT
ejpam-797	585	1	permanent	permanent	ADJ
ejpam-797	585	2	and	and	CCONJ
ejpam-797	585	3	transitory	transitory	ADJ
ejpam-797	585	4	components	component	NOUN
ejpam-797	585	5	of	of	ADP
ejpam-797	585	6	gnp	gnp	PROPN
ejpam-797	585	7	and	and	CCONJ
ejpam-797	585	8	stock	stock	NOUN
ejpam-797	585	9	prices	price	NOUN
ejpam-797	585	10	.	.	PUNCT
ejpam-797	586	1	quarterly	quarterly	ADJ
ejpam-797	586	2	journal	journal	NOUN
ejpam-797	586	3	of	of	ADP
ejpam-797	586	4	economics	economic	NOUN
ejpam-797	586	5	,	,	PUNCT
ejpam-797	586	6	241	241	NUM
ejpam-797	586	7	-	-	SYM
ejpam-797	586	8	265	265	NUM
ejpam-797	586	9	,	,	PUNCT
ejpam-797	586	10	1994	1994	NUM
ejpam-797	586	11	.	.	PUNCT
ejpam-797	587	1	[	[	X
ejpam-797	587	2	5	5	NUM
ejpam-797	587	3	]	]	PUNCT
ejpam-797	587	4	j	j	PROPN
ejpam-797	587	5	cochrane	cochrane	PROPN
ejpam-797	587	6	.	.	PUNCT
ejpam-797	588	1	shocks	shock	NOUN
ejpam-797	588	2	.	.	PUNCT
ejpam-797	589	1	carnegie	carnegie	NOUN
ejpam-797	589	2	-	-	PUNCT
ejpam-797	589	3	rochester	rochester	PROPN
ejpam-797	589	4	conference	conference	NOUN
ejpam-797	589	5	series	series	NOUN
ejpam-797	589	6	on	on	ADP
ejpam-797	589	7	public	public	ADJ
ejpam-797	589	8	policy	policy	NOUN
ejpam-797	589	9	,	,	PUNCT
ejpam-797	589	10	41:296	41:296	NOUN
ejpam-797	589	11	-	-	SYM
ejpam-797	589	12	364	364	NUM
ejpam-797	589	13	,	,	PUNCT
ejpam-797	589	14	1994	1994	NUM
ejpam-797	589	15	.	.	PUNCT
ejpam-797	590	1	[	[	X
ejpam-797	590	2	6	6	NUM
ejpam-797	590	3	]	]	X
ejpam-797	590	4	j	j	PROPN
ejpam-797	590	5	doornik	doornik	PROPN
ejpam-797	590	6	.	.	PUNCT
ejpam-797	591	1	testing	test	VERB
ejpam-797	591	2	general	general	ADJ
ejpam-797	591	3	restrictions	restriction	NOUN
ejpam-797	591	4	on	on	ADP
ejpam-797	591	5	the	the	DET
ejpam-797	591	6	cointegrating	cointegrate	VERB
ejpam-797	591	7	space	space	NOUN
ejpam-797	591	8	.	.	PUNCT
ejpam-797	592	1	working	work	VERB
ejpam-797	592	2	paper	paper	NOUN
ejpam-797	592	3	,	,	PUNCT
ejpam-797	592	4	nuffield	nuffield	PROPN
ejpam-797	592	5	college	college	PROPN
ejpam-797	592	6	,	,	PUNCT
ejpam-797	592	7	1995	1995	NUM
ejpam-797	592	8	.	.	PUNCT
ejpam-797	593	1	[	[	X
ejpam-797	593	2	7	7	NUM
ejpam-797	593	3	]	]	X
ejpam-797	593	4	r	r	NOUN
ejpam-797	593	5	engle	engle	NOUN
ejpam-797	593	6	and	and	CCONJ
ejpam-797	593	7	c	c	PROPN
ejpam-797	593	8	granger	granger	PROPN
ejpam-797	593	9	.	.	PUNCT
ejpam-797	593	10	cointegration	cointegration	NOUN
ejpam-797	593	11	and	and	CCONJ
ejpam-797	593	12	error	error	NOUN
ejpam-797	593	13	correction	correction	NOUN
ejpam-797	593	14	:	:	PUNCT
ejpam-797	593	15	representation	representation	NOUN
ejpam-797	593	16	,	,	PUNCT
ejpam-797	593	17	estimation	estimation	NOUN
ejpam-797	593	18	,	,	PUNCT
ejpam-797	593	19	and	and	CCONJ
ejpam-797	593	20	testing	testing	NOUN
ejpam-797	593	21	.	.	PUNCT
ejpam-797	594	1	econometrica	econometrica	PROPN
ejpam-797	594	2	,	,	PUNCT
ejpam-797	594	3	55:251	55:251	NUM
ejpam-797	594	4	-	-	SYM
ejpam-797	594	5	276	276	NUM
ejpam-797	594	6	,	,	PUNCT
ejpam-797	594	7	1987	1987	NUM
ejpam-797	594	8	.	.	PUNCT
ejpam-797	595	1	[	[	X
ejpam-797	595	2	8	8	NUM
ejpam-797	595	3	]	]	X
ejpam-797	595	4	r	r	NOUN
ejpam-797	595	5	engle	engle	NOUN
ejpam-797	595	6	and	and	CCONJ
ejpam-797	595	7	s	s	PROPN
ejpam-797	595	8	kozicki	kozicki	NOUN
ejpam-797	595	9	.	.	PUNCT
ejpam-797	596	1	testing	testing	NOUN
ejpam-797	596	2	for	for	ADP
ejpam-797	596	3	common	common	ADJ
ejpam-797	596	4	features	feature	NOUN
ejpam-797	596	5	.	.	PUNCT
ejpam-797	597	1	journal	journal	NOUN
ejpam-797	597	2	of	of	ADP
ejpam-797	597	3	business	business	NOUN
ejpam-797	597	4	and	and	CCONJ
ejpam-797	597	5	economic	economic	ADJ
ejpam-797	597	6	statistics	statistic	NOUN
ejpam-797	597	7	,	,	PUNCT
ejpam-797	597	8	11(4):369	11(4):369	PROPN
ejpam-797	597	9	-	-	SYM
ejpam-797	597	10	380	380	NUM
ejpam-797	597	11	,	,	PUNCT
ejpam-797	597	12	1993	1993	NUM
ejpam-797	597	13	.	.	PUNCT
ejpam-797	598	1	[	[	X
ejpam-797	598	2	9	9	NUM
ejpam-797	598	3	]	]	X
ejpam-797	598	4	r	r	NOUN
ejpam-797	598	5	engle	engle	NOUN
ejpam-797	598	6	and	and	CCONJ
ejpam-797	598	7	b	b	PROPN
ejpam-797	598	8	yoo	yoo	PROPN
ejpam-797	598	9	.	.	PUNCT
ejpam-797	599	1	forecasting	forecasting	NOUN
ejpam-797	599	2	and	and	CCONJ
ejpam-797	599	3	testing	testing	NOUN
ejpam-797	599	4	in	in	ADP
ejpam-797	599	5	cointegrated	cointegrate	VERB
ejpam-797	599	6	systems	system	NOUN
ejpam-797	599	7	.	.	PUNCT
ejpam-797	600	1	journal	journal	PROPN
ejpam-797	600	2	of	of	ADP
ejpam-797	600	3	econometrics	econometric	NOUN
ejpam-797	600	4	,	,	PUNCT
ejpam-797	600	5	35:143	35:143	NUM
ejpam-797	600	6	-	-	SYM
ejpam-797	600	7	159	159	NUM
ejpam-797	600	8	,	,	PUNCT
ejpam-797	600	9	1987	1987	NUM
ejpam-797	600	10	.	.	PUNCT
ejpam-797	601	1	[	[	X
ejpam-797	601	2	10	10	NUM
ejpam-797	601	3	]	]	X
ejpam-797	601	4	r	r	NOUN
ejpam-797	601	5	engle	engle	NOUN
ejpam-797	601	6	and	and	CCONJ
ejpam-797	601	7	b	b	PROPN
ejpam-797	601	8	yoo	yoo	PROPN
ejpam-797	601	9	.	.	PUNCT
ejpam-797	601	10	cointegrated	cointegrate	VERB
ejpam-797	601	11	economic	economic	ADJ
ejpam-797	601	12	time	time	NOUN
ejpam-797	601	13	series	series	PROPN
ejpam-797	601	14	:	:	PUNCT
ejpam-797	601	15	an	an	DET
ejpam-797	601	16	overview	overview	NOUN
ejpam-797	601	17	with	with	ADP
ejpam-797	601	18	new	new	ADJ
ejpam-797	601	19	results	result	NOUN
ejpam-797	601	20	.	.	PUNCT
ejpam-797	602	1	in	in	ADP
ejpam-797	602	2	r	r	NOUN
ejpam-797	602	3	engle	engle	NOUN
ejpam-797	602	4	and	and	CCONJ
ejpam-797	602	5	c	c	PROPN
ejpam-797	602	6	granger	granger	PROPN
ejpam-797	602	7	,	,	PUNCT
ejpam-797	602	8	editors	editor	NOUN
ejpam-797	602	9	,	,	PUNCT
ejpam-797	602	10	long	long	ADV
ejpam-797	602	11	-	-	PUNCT
ejpam-797	602	12	run	run	VERB
ejpam-797	602	13	economic	economic	ADJ
ejpam-797	602	14	relations	relation	NOUN
ejpam-797	602	15	,	,	PUNCT
ejpam-797	602	16	readings	reading	NOUN
ejpam-797	602	17	in	in	ADP
ejpam-797	602	18	cointegration	cointegration	NOUN
ejpam-797	602	19	.	.	PUNCT
ejpam-797	603	1	oxford	oxford	PROPN
ejpam-797	603	2	university	university	PROPN
ejpam-797	603	3	press	press	NOUN
ejpam-797	603	4	,	,	PUNCT
ejpam-797	603	5	new	new	PROPN
ejpam-797	603	6	york	york	PROPN
ejpam-797	603	7	,	,	PUNCT
ejpam-797	603	8	1987	1987	NUM
ejpam-797	603	9	.	.	PUNCT
ejpam-797	604	1	[	[	X
ejpam-797	604	2	11	11	NUM
ejpam-797	604	3	]	]	X
ejpam-797	604	4	j	j	PROPN
ejpam-797	604	5	gonzalo	gonzalo	PROPN
ejpam-797	604	6	.	.	PROPN
ejpam-797	605	1	five	five	NUM
ejpam-797	605	2	alternative	alternative	ADJ
ejpam-797	605	3	methods	method	NOUN
ejpam-797	605	4	of	of	ADP
ejpam-797	605	5	estimating	estimate	VERB
ejpam-797	605	6	long	long	ADV
ejpam-797	605	7	-	-	PUNCT
ejpam-797	605	8	run	run	VERB
ejpam-797	605	9	equilibrium	equilibrium	NOUN
ejpam-797	605	10	relationships	relationship	NOUN
ejpam-797	605	11	.	.	PUNCT
ejpam-797	606	1	journal	journal	NOUN
ejpam-797	606	2	of	of	ADP
ejpam-797	606	3	econometrics	econometric	NOUN
ejpam-797	606	4	,	,	PUNCT
ejpam-797	606	5	60:203	60:203	NUM
ejpam-797	606	6	-	-	SYM
ejpam-797	606	7	233	233	NUM
ejpam-797	606	8	,	,	PUNCT
ejpam-797	606	9	1994	1994	NUM
ejpam-797	606	10	.	.	PUNCT
ejpam-797	607	1	[	[	X
ejpam-797	607	2	12	12	NUM
ejpam-797	607	3	]	]	X
ejpam-797	607	4	j	j	PROPN
ejpam-797	607	5	gonzalo	gonzalo	PROPN
ejpam-797	607	6	and	and	CCONJ
ejpam-797	607	7	c	c	PROPN
ejpam-797	607	8	granger	granger	PROPN
ejpam-797	607	9	.	.	PUNCT
ejpam-797	608	1	estimation	estimation	NOUN
ejpam-797	608	2	of	of	ADP
ejpam-797	608	3	common	common	ADJ
ejpam-797	608	4	long	long	ADJ
ejpam-797	608	5	-	-	PUNCT
ejpam-797	608	6	memory	memory	NOUN
ejpam-797	608	7	components	component	NOUN
ejpam-797	608	8	in	in	ADP
ejpam-797	608	9	cointegrated	cointegrate	VERB
ejpam-797	608	10	systems	system	NOUN
ejpam-797	608	11	.	.	PUNCT
ejpam-797	609	1	journal	journal	PROPN
ejpam-797	609	2	of	of	ADP
ejpam-797	609	3	business	business	NOUN
ejpam-797	609	4	and	and	CCONJ
ejpam-797	609	5	economic	economic	ADJ
ejpam-797	609	6	statistics	statistic	NOUN
ejpam-797	609	7	,	,	PUNCT
ejpam-797	609	8	13:27	13:27	NUM
ejpam-797	609	9	-	-	SYM
ejpam-797	609	10	35	35	NUM
ejpam-797	609	11	,	,	PUNCT
ejpam-797	609	12	1995	1995	NUM
ejpam-797	609	13	.	.	PUNCT
ejpam-797	610	1	references	reference	NOUN
ejpam-797	610	2	559	559	NUM
ejpam-797	611	1	[	[	X
ejpam-797	611	2	13	13	NUM
ejpam-797	611	3	]	]	SYM
ejpam-797	611	4	j	j	PROPN
ejpam-797	611	5	gonzalo	gonzalo	PROPN
ejpam-797	611	6	and	and	CCONJ
ejpam-797	611	7	t	t	PROPN
ejpam-797	611	8	lee	lee	PROPN
ejpam-797	611	9	.	.	PROPN
ejpam-797	612	1	pitfalls	pitfall	NOUN
ejpam-797	612	2	in	in	ADP
ejpam-797	612	3	testing	testing	NOUN
ejpam-797	612	4	for	for	ADP
ejpam-797	612	5	long	long	ADJ
ejpam-797	612	6	run	run	NOUN
ejpam-797	612	7	relationships	relationship	NOUN
ejpam-797	612	8	.	.	PUNCT
ejpam-797	613	1	journal	journal	NOUN
ejpam-797	613	2	of	of	ADP
ejpam-797	613	3	econometrics	econometric	NOUN
ejpam-797	613	4	,	,	PUNCT
ejpam-797	613	5	86(1):129	86(1):129	NUM
ejpam-797	613	6	-	-	SYM
ejpam-797	613	7	154	154	NUM
ejpam-797	613	8	,	,	PUNCT
ejpam-797	613	9	1998	1998	NUM
ejpam-797	613	10	.	.	PUNCT
ejpam-797	614	1	[	[	X
ejpam-797	614	2	14	14	NUM
ejpam-797	614	3	]	]	X
ejpam-797	614	4	c	c	PROPN
ejpam-797	614	5	granger	granger	PROPN
ejpam-797	614	6	.	.	PUNCT
ejpam-797	615	1	some	some	DET
ejpam-797	615	2	properties	property	NOUN
ejpam-797	615	3	of	of	ADP
ejpam-797	615	4	time	time	NOUN
ejpam-797	615	5	series	series	PROPN
ejpam-797	615	6	data	datum	NOUN
ejpam-797	615	7	and	and	CCONJ
ejpam-797	615	8	their	their	PRON
ejpam-797	615	9	use	use	NOUN
ejpam-797	615	10	in	in	ADP
ejpam-797	615	11	econometric	econometric	ADJ
ejpam-797	615	12	model	model	NOUN
ejpam-797	615	13	specification	specification	NOUN
ejpam-797	615	14	.	.	PUNCT
ejpam-797	616	1	journal	journal	PROPN
ejpam-797	616	2	of	of	ADP
ejpam-797	616	3	econometrics	econometric	NOUN
ejpam-797	616	4	,	,	PUNCT
ejpam-797	616	5	16:121	16:121	NUM
ejpam-797	616	6	-	-	SYM
ejpam-797	616	7	130	130	NUM
ejpam-797	616	8	,	,	PUNCT
ejpam-797	616	9	1981	1981	NUM
ejpam-797	616	10	.	.	PUNCT
ejpam-797	617	1	[	[	X
ejpam-797	617	2	15	15	NUM
ejpam-797	617	3	]	]	X
ejpam-797	617	4	c	c	PROPN
ejpam-797	617	5	granger	granger	PROPN
ejpam-797	617	6	.	.	PUNCT
ejpam-797	618	1	cointegrated	cointegrate	VERB
ejpam-797	618	2	variables	variable	NOUN
ejpam-797	618	3	and	and	CCONJ
ejpam-797	618	4	error	error	NOUN
ejpam-797	618	5	correction	correction	NOUN
ejpam-797	618	6	models	model	NOUN
ejpam-797	618	7	.	.	PUNCT
ejpam-797	619	1	discussion	discussion	NOUN
ejpam-797	619	2	paper	paper	PROPN
ejpam-797	619	3	83:13a	83:13a	NUM
ejpam-797	619	4	,	,	PUNCT
ejpam-797	619	5	university	university	NOUN
ejpam-797	619	6	of	of	ADP
ejpam-797	619	7	california	california	PROPN
ejpam-797	619	8	,	,	PUNCT
ejpam-797	619	9	san	san	PROPN
ejpam-797	619	10	diego	diego	PROPN
ejpam-797	619	11	,	,	PUNCT
ejpam-797	619	12	1983	1983	NUM
ejpam-797	619	13	.	.	PUNCT
ejpam-797	620	1	[	[	X
ejpam-797	620	2	16	16	NUM
ejpam-797	620	3	]	]	X
ejpam-797	620	4	c	c	PROPN
ejpam-797	620	5	granger	granger	PROPN
ejpam-797	620	6	and	and	CCONJ
ejpam-797	620	7	t	t	PROPN
ejpam-797	620	8	lee	lee	PROPN
ejpam-797	620	9	.	.	PROPN
ejpam-797	620	10	multicointegration	multicointegration	PROPN
ejpam-797	620	11	.	.	PUNCT
ejpam-797	621	1	advances	advance	NOUN
ejpam-797	621	2	in	in	ADP
ejpam-797	621	3	econometrics	econometric	NOUN
ejpam-797	621	4	,	,	PUNCT
ejpam-797	621	5	8:71	8:71	NUM
ejpam-797	621	6	-	-	SYM
ejpam-797	621	7	84	84	NUM
ejpam-797	621	8	,	,	PUNCT
ejpam-797	621	9	1990	1990	NUM
ejpam-797	621	10	.	.	PUNCT
ejpam-797	622	1	[	[	X
ejpam-797	622	2	17	17	NUM
ejpam-797	622	3	]	]	X
ejpam-797	622	4	j	j	PROPN
ejpam-797	622	5	hamilton	hamilton	PROPN
ejpam-797	622	6	.	.	PUNCT
ejpam-797	623	1	time	time	PROPN
ejpam-797	623	2	series	series	PROPN
ejpam-797	623	3	analysis	analysis	PROPN
ejpam-797	623	4	.	.	PUNCT
ejpam-797	624	1	princeton	princeton	PROPN
ejpam-797	624	2	university	university	PROPN
ejpam-797	624	3	press	press	PROPN
ejpam-797	624	4	,	,	PUNCT
ejpam-797	624	5	princeton	princeton	PROPN
ejpam-797	624	6	,	,	PUNCT
ejpam-797	624	7	nj	nj	PROPN
ejpam-797	624	8	,	,	PUNCT
ejpam-797	624	9	1994	1994	NUM
ejpam-797	624	10	.	.	PUNCT
ejpam-797	625	1	[	[	X
ejpam-797	625	2	18	18	NUM
ejpam-797	625	3	]	]	PUNCT
ejpam-797	625	4	a	a	DET
ejpam-797	625	5	haug	haug	NOUN
ejpam-797	625	6	.	.	PUNCT
ejpam-797	626	1	testing	test	VERB
ejpam-797	626	2	linear	linear	PROPN
ejpam-797	626	3	restrictions	restriction	NOUN
ejpam-797	626	4	on	on	ADP
ejpam-797	626	5	cointegrating	cointegrate	VERB
ejpam-797	626	6	vectors	vector	NOUN
ejpam-797	626	7	:	:	PUNCT
ejpam-797	626	8	sizes	size	NOUN
ejpam-797	626	9	and	and	CCONJ
ejpam-797	626	10	powers	power	NOUN
ejpam-797	626	11	of	of	ADP
ejpam-797	626	12	wald	wald	NOUN
ejpam-797	626	13	tests	test	NOUN
ejpam-797	626	14	in	in	ADP
ejpam-797	626	15	finite	finite	ADJ
ejpam-797	626	16	samples	sample	NOUN
ejpam-797	626	17	.	.	PUNCT
ejpam-797	627	1	econometric	econometric	ADJ
ejpam-797	627	2	theory	theory	NOUN
ejpam-797	627	3	,	,	PUNCT
ejpam-797	627	4	18:505–524	18:505–524	PROPN
ejpam-797	627	5	,	,	PUNCT
ejpam-797	627	6	2002	2002	NUM
ejpam-797	627	7	.	.	PUNCT
ejpam-797	628	1	[	[	X
ejpam-797	628	2	19	19	NUM
ejpam-797	628	3	]	]	SYM
ejpam-797	628	4	s	s	X
ejpam-797	628	5	johansen	johansen	PROPN
ejpam-797	628	6	.	.	PUNCT
ejpam-797	629	1	statistical	statistical	ADJ
ejpam-797	629	2	analysis	analysis	NOUN
ejpam-797	629	3	of	of	ADP
ejpam-797	629	4	cointegration	cointegration	NOUN
ejpam-797	629	5	vectors	vector	NOUN
ejpam-797	629	6	.	.	PUNCT
ejpam-797	630	1	journal	journal	NOUN
ejpam-797	630	2	of	of	ADP
ejpam-797	630	3	economic	economic	ADJ
ejpam-797	630	4	dynamics	dynamic	NOUN
ejpam-797	630	5	and	and	CCONJ
ejpam-797	630	6	control	control	NOUN
ejpam-797	630	7	,	,	PUNCT
ejpam-797	630	8	12:231	12:231	NUM
ejpam-797	630	9	-	-	SYM
ejpam-797	630	10	254	254	NUM
ejpam-797	630	11	,	,	PUNCT
ejpam-797	630	12	1988	1988	NUM
ejpam-797	630	13	.	.	PUNCT
ejpam-797	631	1	[	[	X
ejpam-797	631	2	20	20	NUM
ejpam-797	631	3	]	]	SYM
ejpam-797	631	4	s	s	X
ejpam-797	631	5	johansen	johansen	PROPN
ejpam-797	631	6	.	.	PUNCT
ejpam-797	631	7	likelihood	likelihood	PROPN
ejpam-797	631	8	based	base	VERB
ejpam-797	631	9	inference	inference	NOUN
ejpam-797	631	10	on	on	ADP
ejpam-797	631	11	cointegration	cointegration	NOUN
ejpam-797	631	12	:	:	PUNCT
ejpam-797	631	13	theory	theory	NOUN
ejpam-797	631	14	and	and	CCONJ
ejpam-797	631	15	applications	application	NOUN
ejpam-797	631	16	.	.	PUNCT
ejpam-797	632	1	unpublished	unpublished	ADJ
ejpam-797	632	2	lecture	lecture	NOUN
ejpam-797	632	3	notes	note	NOUN
ejpam-797	632	4	,	,	PUNCT
ejpam-797	632	5	university	university	NOUN
ejpam-797	632	6	of	of	ADP
ejpam-797	632	7	copenhagen	copenhagen	PROPN
ejpam-797	632	8	,	,	PUNCT
ejpam-797	632	9	institute	institute	PROPN
ejpam-797	632	10	of	of	ADP
ejpam-797	632	11	mathematical	mathematical	ADJ
ejpam-797	632	12	statistics	statistic	NOUN
ejpam-797	632	13	,	,	PUNCT
ejpam-797	632	14	1989	1989	NUM
ejpam-797	632	15	.	.	PUNCT
ejpam-797	633	1	[	[	X
ejpam-797	633	2	21	21	NUM
ejpam-797	633	3	]	]	X
ejpam-797	633	4	s	s	X
ejpam-797	634	1	johansen	johansen	PROPN
ejpam-797	634	2	.	.	PUNCT
ejpam-797	634	3	estimation	estimation	NOUN
ejpam-797	634	4	and	and	CCONJ
ejpam-797	634	5	hypothesis	hypothesis	NOUN
ejpam-797	634	6	testing	testing	NOUN
ejpam-797	634	7	of	of	ADP
ejpam-797	634	8	cointegration	cointegration	NOUN
ejpam-797	634	9	vectors	vector	NOUN
ejpam-797	634	10	in	in	ADP
ejpam-797	634	11	gaussian	gaussian	ADJ
ejpam-797	634	12	vector	vector	NOUN
ejpam-797	634	13	autoregressive	autoregressive	ADJ
ejpam-797	634	14	models	model	NOUN
ejpam-797	634	15	.	.	PUNCT
ejpam-797	635	1	econometrica	econometrica	PROPN
ejpam-797	635	2	,	,	PUNCT
ejpam-797	635	3	59:1551	59:1551	NUM
ejpam-797	635	4	-	-	SYM
ejpam-797	635	5	1580	1580	NUM
ejpam-797	635	6	,	,	PUNCT
ejpam-797	635	7	1991	1991	NUM
ejpam-797	635	8	.	.	PUNCT
ejpam-797	636	1	[	[	X
ejpam-797	636	2	22	22	NUM
ejpam-797	636	3	]	]	X
ejpam-797	636	4	s	s	X
ejpam-797	636	5	johansen	johansen	PROPN
ejpam-797	636	6	.	.	PUNCT
ejpam-797	637	1	identifying	identify	VERB
ejpam-797	637	2	restrictions	restriction	NOUN
ejpam-797	637	3	of	of	ADP
ejpam-797	637	4	linear	linear	ADJ
ejpam-797	637	5	equations	equation	NOUN
ejpam-797	637	6	with	with	ADP
ejpam-797	637	7	applications	application	NOUN
ejpam-797	637	8	to	to	ADP
ejpam-797	637	9	simultaneous	simultaneous	ADJ
ejpam-797	637	10	equations	equation	NOUN
ejpam-797	637	11	and	and	CCONJ
ejpam-797	637	12	cointegration	cointegration	NOUN
ejpam-797	637	13	.	.	PUNCT
ejpam-797	638	1	journal	journal	PROPN
ejpam-797	638	2	of	of	ADP
ejpam-797	638	3	econometrics	econometric	NOUN
ejpam-797	638	4	,	,	PUNCT
ejpam-797	638	5	1995	1995	NUM
ejpam-797	638	6	,	,	PUNCT
ejpam-797	638	7	69:111132	69:111132	NUM
ejpam-797	638	8	,	,	PUNCT
ejpam-797	638	9	1995	1995	NUM
ejpam-797	638	10	.	.	PUNCT
ejpam-797	639	1	[	[	X
ejpam-797	639	2	23	23	NUM
ejpam-797	639	3	]	]	X
ejpam-797	639	4	s	s	X
ejpam-797	640	1	johansen	johansen	PROPN
ejpam-797	640	2	.	.	PUNCT
ejpam-797	640	3	likelihood	likelihood	NOUN
ejpam-797	640	4	-	-	PUNCT
ejpam-797	640	5	based	base	VERB
ejpam-797	640	6	inference	inference	NOUN
ejpam-797	640	7	in	in	ADP
ejpam-797	640	8	cointegrated	cointegrate	VERB
ejpam-797	640	9	vector	vector	NOUN
ejpam-797	640	10	autoregressive	autoregressive	ADJ
ejpam-797	640	11	models	model	NOUN
ejpam-797	640	12	,	,	PUNCT
ejpam-797	640	13	oxford	oxford	PROPN
ejpam-797	640	14	university	university	PROPN
ejpam-797	640	15	press	press	NOUN
ejpam-797	640	16	,	,	PUNCT
ejpam-797	640	17	oxford	oxford	NOUN
ejpam-797	640	18	,	,	PUNCT
ejpam-797	640	19	1996	1996	NUM
ejpam-797	640	20	.	.	PUNCT
ejpam-797	641	1	[	[	X
ejpam-797	641	2	24	24	NUM
ejpam-797	641	3	]	]	SYM
ejpam-797	641	4	s	s	X
ejpam-797	641	5	johansen	johansen	PROPN
ejpam-797	641	6	.	.	PUNCT
ejpam-797	642	1	a	a	DET
ejpam-797	642	2	bartlett	bartlett	PROPN
ejpam-797	642	3	correction	correction	NOUN
ejpam-797	642	4	factor	factor	NOUN
ejpam-797	642	5	for	for	ADP
ejpam-797	642	6	tests	test	NOUN
ejpam-797	642	7	on	on	ADP
ejpam-797	642	8	the	the	DET
ejpam-797	642	9	cointegrating	cointegrate	VERB
ejpam-797	642	10	relations	relation	NOUN
ejpam-797	642	11	.	.	PUNCT
ejpam-797	643	1	econometric	econometric	PROPN
ejpam-797	643	2	theory	theory	NOUN
ejpam-797	643	3	,	,	PUNCT
ejpam-797	643	4	16:740	16:740	NUM
ejpam-797	643	5	-	-	SYM
ejpam-797	643	6	778	778	NUM
ejpam-797	643	7	,	,	PUNCT
ejpam-797	643	8	2000	2000	NUM
ejpam-797	643	9	.	.	PUNCT
ejpam-797	644	1	[	[	X
ejpam-797	644	2	25	25	NUM
ejpam-797	644	3	]	]	X
ejpam-797	644	4	s	s	X
ejpam-797	644	5	johansen	johansen	PROPN
ejpam-797	644	6	and	and	CCONJ
ejpam-797	644	7	k	k	PROPN
ejpam-797	644	8	juselius	juselius	PROPN
ejpam-797	644	9	.	.	PUNCT
ejpam-797	645	1	maximum	maximum	ADJ
ejpam-797	645	2	likelihood	likelihood	NOUN
ejpam-797	645	3	estimation	estimation	NOUN
ejpam-797	645	4	and	and	CCONJ
ejpam-797	645	5	inference	inference	NOUN
ejpam-797	645	6	on	on	ADP
ejpam-797	645	7	cointegration	cointegration	NOUN
ejpam-797	645	8	:	:	PUNCT
ejpam-797	645	9	with	with	ADP
ejpam-797	645	10	applications	application	NOUN
ejpam-797	645	11	to	to	ADP
ejpam-797	645	12	the	the	DET
ejpam-797	645	13	demand	demand	NOUN
ejpam-797	645	14	for	for	ADP
ejpam-797	645	15	money	money	NOUN
ejpam-797	645	16	.	.	PUNCT
ejpam-797	646	1	oxford	oxford	ADJ
ejpam-797	646	2	bulletin	bulletin	NOUN
ejpam-797	646	3	of	of	ADP
ejpam-797	646	4	economics	economic	NOUN
ejpam-797	646	5	and	and	CCONJ
ejpam-797	646	6	statistics	statistic	NOUN
ejpam-797	646	7	,	,	PUNCT
ejpam-797	646	8	52:169	52:169	NUM
ejpam-797	646	9	-	-	SYM
ejpam-797	646	10	210	210	NUM
ejpam-797	646	11	,	,	PUNCT
ejpam-797	646	12	1990	1990	NUM
ejpam-797	646	13	.	.	PUNCT
ejpam-797	647	1	[	[	X
ejpam-797	647	2	26	26	NUM
ejpam-797	647	3	]	]	SYM
ejpam-797	647	4	s	s	X
ejpam-797	647	5	johansen	johansen	PROPN
ejpam-797	647	6	and	and	CCONJ
ejpam-797	647	7	k	k	PROPN
ejpam-797	647	8	juselius	juselius	PROPN
ejpam-797	647	9	.	.	PUNCT
ejpam-797	648	1	testing	test	VERB
ejpam-797	648	2	structural	structural	ADJ
ejpam-797	648	3	hypotheses	hypothesis	NOUN
ejpam-797	648	4	in	in	ADP
ejpam-797	648	5	a	a	DET
ejpam-797	648	6	multivariate	multivariate	NOUN
ejpam-797	648	7	cointegration	cointegration	NOUN
ejpam-797	648	8	analysis	analysis	NOUN
ejpam-797	648	9	of	of	ADP
ejpam-797	648	10	the	the	DET
ejpam-797	648	11	ppp	ppp	NOUN
ejpam-797	648	12	and	and	CCONJ
ejpam-797	648	13	uip	uip	PROPN
ejpam-797	648	14	for	for	ADP
ejpam-797	648	15	uk	uk	PROPN
ejpam-797	648	16	.	.	PROPN
ejpam-797	648	17	journal	journal	PROPN
ejpam-797	648	18	of	of	ADP
ejpam-797	648	19	econometrics	econometric	NOUN
ejpam-797	648	20	,	,	PUNCT
ejpam-797	648	21	53:211	53:211	NUM
ejpam-797	648	22	-	-	SYM
ejpam-797	648	23	244	244	NUM
ejpam-797	648	24	,	,	PUNCT
ejpam-797	648	25	1992	1992	NUM
ejpam-797	648	26	.	.	PUNCT
ejpam-797	649	1	[	[	X
ejpam-797	649	2	27	27	NUM
ejpam-797	649	3	]	]	X
ejpam-797	649	4	k	k	PROPN
ejpam-797	649	5	kasa	kasa	PROPN
ejpam-797	649	6	.	.	PUNCT
ejpam-797	650	1	common	common	ADJ
ejpam-797	650	2	stochastic	stochastic	ADJ
ejpam-797	650	3	trends	trend	NOUN
ejpam-797	650	4	in	in	ADP
ejpam-797	650	5	international	international	ADJ
ejpam-797	650	6	stock	stock	NOUN
ejpam-797	650	7	markets	market	NOUN
ejpam-797	650	8	.	.	PUNCT
ejpam-797	651	1	journal	journal	NOUN
ejpam-797	651	2	of	of	ADP
ejpam-797	651	3	monetary	monetary	ADJ
ejpam-797	651	4	economics	economic	NOUN
ejpam-797	651	5	,	,	PUNCT
ejpam-797	651	6	29:95	29:95	NUM
ejpam-797	651	7	-	-	SYM
ejpam-797	651	8	124	124	NUM
ejpam-797	651	9	,	,	PUNCT
ejpam-797	651	10	1992	1992	NUM
ejpam-797	651	11	.	.	PUNCT
ejpam-797	652	1	[	[	X
ejpam-797	652	2	28	28	NUM
ejpam-797	652	3	]	]	X
ejpam-797	652	4	r	r	NOUN
ejpam-797	652	5	king	king	NOUN
ejpam-797	652	6	,	,	PUNCT
ejpam-797	652	7	c	c	PROPN
ejpam-797	652	8	plosser	plosser	NOUN
ejpam-797	652	9	,	,	PUNCT
ejpam-797	652	10	and	and	CCONJ
ejpam-797	652	11	s	s	AUX
ejpam-797	652	12	robelo	robelo	NOUN
ejpam-797	652	13	.	.	PUNCT
ejpam-797	653	1	production	production	NOUN
ejpam-797	653	2	,	,	PUNCT
ejpam-797	653	3	growth	growth	NOUN
ejpam-797	653	4	,	,	PUNCT
ejpam-797	653	5	and	and	CCONJ
ejpam-797	653	6	business	business	NOUN
ejpam-797	653	7	cycles	cycle	NOUN
ejpam-797	653	8	:	:	PUNCT
ejpam-797	653	9	ii	ii	X
ejpam-797	653	10	.	.	PUNCT
ejpam-797	654	1	new	new	ADJ
ejpam-797	654	2	directions	direction	NOUN
ejpam-797	654	3	.	.	PUNCT
ejpam-797	655	1	journal	journal	NOUN
ejpam-797	655	2	of	of	ADP
ejpam-797	655	3	monetary	monetary	ADJ
ejpam-797	655	4	economics	economic	NOUN
ejpam-797	655	5	,	,	PUNCT
ejpam-797	655	6	21:309	21:309	NOUN
ejpam-797	655	7	-	-	SYM
ejpam-797	655	8	341	341	NUM
ejpam-797	655	9	,	,	PUNCT
ejpam-797	655	10	1988	1988	NUM
ejpam-797	655	11	.	.	PUNCT
ejpam-797	656	1	[	[	X
ejpam-797	656	2	29	29	NUM
ejpam-797	656	3	]	]	X
ejpam-797	656	4	r	r	NOUN
ejpam-797	656	5	king	king	NOUN
ejpam-797	656	6	,	,	PUNCT
ejpam-797	656	7	c	c	PROPN
ejpam-797	656	8	plosser	plosser	PROPN
ejpam-797	656	9	,	,	PUNCT
ejpam-797	656	10	j	j	PROPN
ejpam-797	656	11	stock	stock	NOUN
ejpam-797	656	12	,	,	PUNCT
ejpam-797	656	13	and	and	CCONJ
ejpam-797	656	14	m	m	PROPN
ejpam-797	656	15	watson	watson	PROPN
ejpam-797	656	16	.	.	PUNCT
ejpam-797	657	1	stochastic	stochastic	ADJ
ejpam-797	657	2	trends	trend	NOUN
ejpam-797	657	3	and	and	CCONJ
ejpam-797	657	4	economic	economic	ADJ
ejpam-797	657	5	fluctuations	fluctuation	NOUN
ejpam-797	657	6	.	.	PUNCT
ejpam-797	658	1	the	the	DET
ejpam-797	658	2	american	american	PROPN
ejpam-797	658	3	economic	economic	PROPN
ejpam-797	658	4	review	review	PROPN
ejpam-797	658	5	,	,	PUNCT
ejpam-797	658	6	81:819	81:819	NUM
ejpam-797	658	7	-	-	SYM
ejpam-797	658	8	840	840	NUM
ejpam-797	658	9	,	,	PUNCT
ejpam-797	658	10	1991	1991	NUM
ejpam-797	658	11	.	.	PUNCT
ejpam-797	659	1	[	[	X
ejpam-797	659	2	30	30	NUM
ejpam-797	659	3	]	]	X
ejpam-797	659	4	t	t	X
ejpam-797	659	5	konishi	konishi	PROPN
ejpam-797	659	6	and	and	CCONJ
ejpam-797	659	7	c	c	PROPN
ejpam-797	659	8	granger	granger	PROPN
ejpam-797	659	9	.	.	PUNCT
ejpam-797	660	1	separation	separation	NOUN
ejpam-797	660	2	in	in	ADP
ejpam-797	660	3	cointegrated	cointegrate	VERB
ejpam-797	660	4	systems	system	NOUN
ejpam-797	660	5	.	.	PUNCT
ejpam-797	661	1	discussion	discussion	NOUN
ejpam-797	661	2	paper	paper	NOUN
ejpam-797	661	3	92	92	NUM
ejpam-797	661	4	-	-	SYM
ejpam-797	661	5	51	51	NUM
ejpam-797	661	6	,	,	PUNCT
ejpam-797	661	7	university	university	NOUN
ejpam-797	661	8	of	of	ADP
ejpam-797	661	9	california	california	PROPN
ejpam-797	661	10	,	,	PUNCT
ejpam-797	661	11	san	san	PROPN
ejpam-797	661	12	diego	diego	PROPN
ejpam-797	661	13	,	,	PUNCT
ejpam-797	661	14	1992	1992	NUM
ejpam-797	661	15	.	.	PUNCT
ejpam-797	662	1	[	[	X
ejpam-797	662	2	31	31	NUM
ejpam-797	662	3	]	]	X
ejpam-797	662	4	j	j	PROPN
ejpam-797	662	5	mackinnon	mackinnon	PROPN
ejpam-797	662	6	,	,	PUNCT
ejpam-797	662	7	a	a	DET
ejpam-797	662	8	haug	haug	NOUN
ejpam-797	662	9	,	,	PUNCT
ejpam-797	662	10	and	and	CCONJ
ejpam-797	662	11	l	l	PROPN
ejpam-797	662	12	michelis	michelis	PROPN
ejpam-797	662	13	.	.	PUNCT
ejpam-797	662	14	numerical	numerical	ADJ
ejpam-797	662	15	distribution	distribution	NOUN
ejpam-797	662	16	functions	function	NOUN
ejpam-797	662	17	of	of	ADP
ejpam-797	662	18	likelihood	likelihood	NOUN
ejpam-797	662	19	ratio	ratio	NOUN
ejpam-797	662	20	tests	test	NOUN
ejpam-797	662	21	for	for	ADP
ejpam-797	662	22	cointegration	cointegration	NOUN
ejpam-797	662	23	.	.	PUNCT
ejpam-797	663	1	journal	journal	NOUN
ejpam-797	663	2	of	of	ADP
ejpam-797	663	3	applied	apply	VERB
ejpam-797	663	4	econometrics	econometric	NOUN
ejpam-797	663	5	,	,	PUNCT
ejpam-797	663	6	14(5):563	14(5):563	NUM
ejpam-797	663	7	-	-	SYM
ejpam-797	663	8	577	577	NUM
ejpam-797	663	9	,	,	PUNCT
ejpam-797	663	10	1999	1999	NUM
ejpam-797	663	11	.	.	PUNCT
ejpam-797	664	1	[	[	X
ejpam-797	664	2	32	32	NUM
ejpam-797	664	3	]	]	X
ejpam-797	664	4	r	r	NOUN
ejpam-797	664	5	mosconi	mosconi	NOUN
ejpam-797	664	6	and	and	CCONJ
ejpam-797	664	7	c	c	PROPN
ejpam-797	664	8	giannini	giannini	PROPN
ejpam-797	664	9	.	.	PUNCT
ejpam-797	665	1	non	non	ADJ
ejpam-797	665	2	-	-	NOUN
ejpam-797	665	3	causality	causality	NOUN
ejpam-797	665	4	in	in	ADP
ejpam-797	665	5	cointegrated	cointegrate	VERB
ejpam-797	665	6	systems	system	NOUN
ejpam-797	665	7	:	:	PUNCT
ejpam-797	665	8	representation	representation	NOUN
ejpam-797	665	9	,	,	PUNCT
ejpam-797	665	10	estimation	estimation	NOUN
ejpam-797	665	11	,	,	PUNCT
ejpam-797	665	12	and	and	CCONJ
ejpam-797	665	13	testing	testing	NOUN
ejpam-797	665	14	.	.	PUNCT
ejpam-797	666	1	oxford	oxford	ADJ
ejpam-797	666	2	bulletin	bulletin	NOUN
ejpam-797	666	3	of	of	ADP
ejpam-797	666	4	economics	economic	NOUN
ejpam-797	666	5	and	and	CCONJ
ejpam-797	666	6	statistics	statistic	NOUN
ejpam-797	666	7	,	,	PUNCT
ejpam-797	666	8	54:399	54:399	NUM
ejpam-797	666	9	-	-	SYM
ejpam-797	666	10	417	417	NUM
ejpam-797	666	11	,	,	PUNCT
ejpam-797	666	12	1992	1992	NUM
ejpam-797	666	13	.	.	PUNCT
ejpam-797	667	1	[	[	X
ejpam-797	667	2	33	33	NUM
ejpam-797	667	3	]	]	PUNCT
ejpam-797	667	4	j	j	PROPN
ejpam-797	667	5	muth	muth	PROPN
ejpam-797	667	6	.	.	PUNCT
ejpam-797	668	1	optimal	optimal	ADJ
ejpam-797	668	2	properties	property	NOUN
ejpam-797	668	3	of	of	ADP
ejpam-797	668	4	exponentially	exponentially	ADV
ejpam-797	668	5	weighted	weight	VERB
ejpam-797	668	6	forecasts	forecast	NOUN
ejpam-797	668	7	.	.	PUNCT
ejpam-797	669	1	journal	journal	PROPN
ejpam-797	669	2	of	of	ADP
ejpam-797	669	3	the	the	DET
ejpam-797	669	4	american	american	PROPN
ejpam-797	669	5	statistical	statistical	PROPN
ejpam-797	669	6	association	association	NOUN
ejpam-797	669	7	,	,	PUNCT
ejpam-797	669	8	55:299	55:299	NUM
ejpam-797	669	9	-	-	SYM
ejpam-797	669	10	306	306	NUM
ejpam-797	669	11	,	,	PUNCT
ejpam-797	669	12	1960	1960	NUM
ejpam-797	669	13	.	.	PUNCT
ejpam-797	670	1	references	reference	NOUN
ejpam-797	670	2	560	560	NUM
ejpam-797	670	3	[	[	X
ejpam-797	670	4	34	34	NUM
ejpam-797	670	5	]	]	X
ejpam-797	670	6	m	m	VERB
ejpam-797	670	7	osterwald	osterwald	NOUN
ejpam-797	670	8	-	-	PUNCT
ejpam-797	670	9	lenum	lenum	NOUN
ejpam-797	670	10	.	.	PUNCT
ejpam-797	671	1	a	a	DET
ejpam-797	671	2	note	note	NOUN
ejpam-797	671	3	with	with	ADP
ejpam-797	671	4	quantiles	quantile	NOUN
ejpam-797	671	5	of	of	ADP
ejpam-797	671	6	the	the	DET
ejpam-797	671	7	asymptotic	asymptotic	ADJ
ejpam-797	671	8	distribution	distribution	NOUN
ejpam-797	671	9	of	of	ADP
ejpam-797	671	10	the	the	DET
ejpam-797	671	11	maximum	maximum	ADJ
ejpam-797	671	12	likelihood	likelihood	NOUN
ejpam-797	671	13	cointegration	cointegration	PROPN
ejpam-797	671	14	rank	rank	PROPN
ejpam-797	671	15	test	test	NOUN
ejpam-797	671	16	statistics	statistic	NOUN
ejpam-797	671	17	.	.	PUNCT
ejpam-797	672	1	oxford	oxford	ADJ
ejpam-797	672	2	bulletin	bulletin	NOUN
ejpam-797	672	3	of	of	ADP
ejpam-797	672	4	economics	economic	NOUN
ejpam-797	672	5	and	and	CCONJ
ejpam-797	672	6	statistics	statistic	NOUN
ejpam-797	672	7	,	,	PUNCT
ejpam-797	672	8	54:461	54:461	NUM
ejpam-797	672	9	-	-	SYM
ejpam-797	672	10	472	472	NUM
ejpam-797	672	11	,	,	PUNCT
ejpam-797	672	12	1992	1992	NUM
ejpam-797	672	13	.	.	PUNCT
ejpam-797	673	1	[	[	X
ejpam-797	673	2	35	35	NUM
ejpam-797	673	3	]	]	X
ejpam-797	673	4	p	p	X
ejpam-797	673	5	phillips	phillip	NOUN
ejpam-797	673	6	.	.	PUNCT
ejpam-797	674	1	optimal	optimal	ADJ
ejpam-797	674	2	inference	inference	NOUN
ejpam-797	674	3	in	in	ADP
ejpam-797	674	4	cointegrated	cointegrate	VERB
ejpam-797	674	5	systems	system	NOUN
ejpam-797	674	6	.	.	PUNCT
ejpam-797	675	1	econometrica	econometrica	PROPN
ejpam-797	675	2	,	,	PUNCT
ejpam-797	675	3	56:10211044	56:10211044	NUM
ejpam-797	675	4	,	,	PUNCT
ejpam-797	675	5	1991	1991	NUM
ejpam-797	675	6	.	.	PUNCT
ejpam-797	676	1	[	[	X
ejpam-797	676	2	36	36	NUM
ejpam-797	676	3	]	]	PUNCT
ejpam-797	676	4	t	t	PROPN
ejpam-797	676	5	proietti	proietti	NOUN
ejpam-797	676	6	.	.	PUNCT
ejpam-797	677	1	short	short	ADJ
ejpam-797	677	2	run	run	NOUN
ejpam-797	677	3	dynamics	dynamic	NOUN
ejpam-797	677	4	in	in	ADP
ejpam-797	677	5	cointegrated	cointegrate	VERB
ejpam-797	677	6	systems	system	NOUN
ejpam-797	677	7	.	.	PUNCT
ejpam-797	678	1	oxford	oxford	ADJ
ejpam-797	678	2	bulletin	bulletin	NOUN
ejpam-797	678	3	of	of	ADP
ejpam-797	678	4	economics	economic	NOUN
ejpam-797	678	5	and	and	CCONJ
ejpam-797	678	6	statistics	statistic	NOUN
ejpam-797	678	7	,	,	PUNCT
ejpam-797	678	8	59(3):405	59(3):405	NUM
ejpam-797	678	9	-	-	SYM
ejpam-797	678	10	422	422	NUM
ejpam-797	678	11	,	,	PUNCT
ejpam-797	678	12	1997	1997	NUM
ejpam-797	678	13	.	.	PUNCT
ejpam-797	679	1	[	[	X
ejpam-797	679	2	37	37	NUM
ejpam-797	679	3	]	]	X
ejpam-797	679	4	d	d	X
ejpam-797	679	5	quah	quah	NOUN
ejpam-797	679	6	.	.	PUNCT
ejpam-797	680	1	the	the	DET
ejpam-797	680	2	relative	relative	ADJ
ejpam-797	680	3	importance	importance	NOUN
ejpam-797	680	4	of	of	ADP
ejpam-797	680	5	permanent	permanent	ADJ
ejpam-797	680	6	and	and	CCONJ
ejpam-797	680	7	transitory	transitory	ADJ
ejpam-797	680	8	components	component	NOUN
ejpam-797	680	9	:	:	PUNCT
ejpam-797	680	10	identification	identification	NOUN
ejpam-797	680	11	and	and	CCONJ
ejpam-797	680	12	some	some	DET
ejpam-797	680	13	theoretical	theoretical	ADJ
ejpam-797	680	14	bounds	bound	NOUN
ejpam-797	680	15	.	.	PUNCT
ejpam-797	681	1	econometrica	econometrica	PROPN
ejpam-797	681	2	,	,	PUNCT
ejpam-797	681	3	60:107	60:107	NUM
ejpam-797	681	4	-	-	SYM
ejpam-797	681	5	118	118	NUM
ejpam-797	681	6	,	,	PUNCT
ejpam-797	681	7	1992	1992	NUM
ejpam-797	681	8	.	.	PUNCT
ejpam-797	682	1	[	[	X
ejpam-797	682	2	38	38	NUM
ejpam-797	682	3	]	]	PUNCT
ejpam-797	682	4	h	h	NOUN
ejpam-797	682	5	reimers	reimer	NOUN
ejpam-797	682	6	.	.	PUNCT
ejpam-797	683	1	comparisons	comparison	NOUN
ejpam-797	683	2	of	of	ADP
ejpam-797	683	3	tests	test	NOUN
ejpam-797	683	4	for	for	ADP
ejpam-797	683	5	multivariate	multivariate	NOUN
ejpam-797	683	6	cointegration	cointegration	NOUN
ejpam-797	683	7	.	.	PUNCT
ejpam-797	684	1	statistical	statistical	ADJ
ejpam-797	684	2	papers	paper	NOUN
ejpam-797	684	3	,	,	PUNCT
ejpam-797	684	4	33:335	33:335	NUM
ejpam-797	684	5	-	-	SYM
ejpam-797	684	6	359	359	NUM
ejpam-797	684	7	,	,	PUNCT
ejpam-797	684	8	1992	1992	NUM
ejpam-797	684	9	.	.	PUNCT
ejpam-797	685	1	[	[	X
ejpam-797	685	2	39	39	NUM
ejpam-797	685	3	]	]	SYM
ejpam-797	685	4	g	g	NOUN
ejpam-797	685	5	reinsel	reinsel	NOUN
ejpam-797	685	6	and	and	CCONJ
ejpam-797	685	7	s	s	VERB
ejpam-797	685	8	ahn	ahn	PROPN
ejpam-797	685	9	.	.	PUNCT
ejpam-797	685	10	vector	vector	NOUN
ejpam-797	685	11	autoregressive	autoregressive	ADJ
ejpam-797	685	12	models	model	NOUN
ejpam-797	685	13	with	with	ADP
ejpam-797	685	14	unit	unit	NOUN
ejpam-797	685	15	roots	root	NOUN
ejpam-797	685	16	and	and	CCONJ
ejpam-797	685	17	reduced	reduce	VERB
ejpam-797	685	18	rank	rank	NOUN
ejpam-797	685	19	structure	structure	NOUN
ejpam-797	685	20	:	:	PUNCT
ejpam-797	685	21	estimation	estimation	NOUN
ejpam-797	685	22	,	,	PUNCT
ejpam-797	685	23	likelihood	likelihood	NOUN
ejpam-797	685	24	ratio	ratio	NOUN
ejpam-797	685	25	tests	test	NOUN
ejpam-797	685	26	,	,	PUNCT
ejpam-797	685	27	and	and	CCONJ
ejpam-797	685	28	forecasting	forecasting	NOUN
ejpam-797	685	29	.	.	PUNCT
ejpam-797	686	1	journal	journal	PROPN
ejpam-797	686	2	of	of	ADP
ejpam-797	686	3	time	time	NOUN
ejpam-797	686	4	series	series	PROPN
ejpam-797	686	5	analysis	analysis	NOUN
ejpam-797	686	6	,	,	PUNCT
ejpam-797	686	7	13:353	13:353	NUM
ejpam-797	686	8	-	-	SYM
ejpam-797	686	9	375	375	NUM
ejpam-797	686	10	,	,	PUNCT
ejpam-797	686	11	1990	1990	NUM
ejpam-797	686	12	.	.	PUNCT
ejpam-797	687	1	[	[	X
ejpam-797	687	2	40	40	NUM
ejpam-797	687	3	]	]	PUNCT
ejpam-797	687	4	c	c	NOUN
ejpam-797	687	5	sims	sim	NOUN
ejpam-797	687	6	.	.	PUNCT
ejpam-797	688	1	macroeconomics	macroeconomic	NOUN
ejpam-797	688	2	and	and	CCONJ
ejpam-797	688	3	reality	reality	NOUN
ejpam-797	688	4	.	.	PUNCT
ejpam-797	689	1	econometrica	econometrica	PROPN
ejpam-797	689	2	,	,	PUNCT
ejpam-797	689	3	48:1	48:1	NUM
ejpam-797	689	4	-	-	SYM
ejpam-797	689	5	48	48	NUM
ejpam-797	689	6	,	,	PUNCT
ejpam-797	689	7	1980	1980	NUM
ejpam-797	689	8	.	.	PUNCT
ejpam-797	690	1	[	[	X
ejpam-797	690	2	41	41	NUM
ejpam-797	690	3	]	]	X
ejpam-797	690	4	r	r	NOUN
ejpam-797	690	5	solow	solow	PROPN
ejpam-797	690	6	.	.	PUNCT
ejpam-797	691	1	growth	growth	PROPN
ejpam-797	691	2	theory	theory	NOUN
ejpam-797	691	3	:	:	PUNCT
ejpam-797	691	4	an	an	DET
ejpam-797	691	5	exposition	exposition	NOUN
ejpam-797	691	6	.	.	PUNCT
ejpam-797	692	1	oxford	oxford	PROPN
ejpam-797	692	2	,	,	PUNCT
ejpam-797	692	3	clarendon	clarendon	PROPN
ejpam-797	692	4	press	press	NOUN
ejpam-797	692	5	,	,	PUNCT
ejpam-797	692	6	1970	1970	NUM
ejpam-797	692	7	.	.	PUNCT
ejpam-797	693	1	[	[	X
ejpam-797	693	2	42	42	NUM
ejpam-797	693	3	]	]	X
ejpam-797	693	4	j	j	PROPN
ejpam-797	693	5	stock	stock	PROPN
ejpam-797	693	6	and	and	CCONJ
ejpam-797	693	7	m	m	PROPN
ejpam-797	693	8	watson	watson	PROPN
ejpam-797	693	9	.	.	PUNCT
ejpam-797	694	1	testing	testing	NOUN
ejpam-797	694	2	for	for	ADP
ejpam-797	694	3	common	common	ADJ
ejpam-797	694	4	trends	trend	NOUN
ejpam-797	694	5	.	.	PUNCT
ejpam-797	695	1	journal	journal	NOUN
ejpam-797	695	2	of	of	ADP
ejpam-797	695	3	the	the	DET
ejpam-797	695	4	american	american	PROPN
ejpam-797	695	5	statistical	statistical	PROPN
ejpam-797	695	6	association	association	NOUN
ejpam-797	695	7	,	,	PUNCT
ejpam-797	695	8	83:1097	83:1097	NUM
ejpam-797	695	9	-	-	SYM
ejpam-797	695	10	1107	1107	NUM
ejpam-797	695	11	,	,	PUNCT
ejpam-797	695	12	1988	1988	NUM
ejpam-797	695	13	.	.	PUNCT
ejpam-797	696	1	[	[	X
ejpam-797	696	2	43	43	NUM
ejpam-797	696	3	]	]	X
ejpam-797	696	4	f	f	PROPN
ejpam-797	696	5	vahid	vahid	PROPN
ejpam-797	696	6	and	and	CCONJ
ejpam-797	696	7	r	r	PROPN
ejpam-797	696	8	engle	engle	NOUN
ejpam-797	696	9	.	.	PUNCT
ejpam-797	697	1	common	common	ADJ
ejpam-797	697	2	trends	trend	NOUN
ejpam-797	697	3	and	and	CCONJ
ejpam-797	697	4	common	common	ADJ
ejpam-797	697	5	cycles	cycle	NOUN
ejpam-797	697	6	.	.	PUNCT
ejpam-797	698	1	journal	journal	NOUN
ejpam-797	698	2	of	of	ADP
ejpam-797	698	3	applied	apply	VERB
ejpam-797	698	4	econometrics	econometric	NOUN
ejpam-797	698	5	,	,	PUNCT
ejpam-797	698	6	8(4):341	8(4):341	NUM
ejpam-797	698	7	-	-	SYM
ejpam-797	698	8	360	360	NUM
ejpam-797	698	9	,	,	PUNCT
ejpam-797	698	10	1993	1993	NUM
ejpam-797	698	11	.	.	PUNCT
ejpam-797	699	1	[	[	X
ejpam-797	699	2	44	44	NUM
ejpam-797	699	3	]	]	X
ejpam-797	699	4	m	m	PROPN
ejpam-797	699	5	watson	watson	PROPN
ejpam-797	699	6	.	.	PUNCT
ejpam-797	700	1	univariate	univariate	ADJ
ejpam-797	700	2	detrending	detrende	VERB
ejpam-797	700	3	methods	method	NOUN
ejpam-797	700	4	with	with	ADP
ejpam-797	700	5	stochastic	stochastic	ADJ
ejpam-797	700	6	trends	trend	NOUN
ejpam-797	700	7	.	.	PUNCT
ejpam-797	701	1	journal	journal	NOUN
ejpam-797	701	2	of	of	ADP
ejpam-797	701	3	monetary	monetary	ADJ
ejpam-797	701	4	economics	economic	NOUN
ejpam-797	701	5	,	,	PUNCT
ejpam-797	701	6	18:49	18:49	NUM
ejpam-797	701	7	-	-	SYM
ejpam-797	701	8	75	75	NUM
ejpam-797	701	9	,	,	PUNCT
ejpam-797	701	10	1986	1986	NUM
ejpam-797	701	11	.	.	PUNCT
ejpam-797	702	1	[	[	X
ejpam-797	702	2	45	45	NUM
ejpam-797	702	3	]	]	X
ejpam-797	702	4	m	m	PROPN
ejpam-797	702	5	watson	watson	PROPN
ejpam-797	702	6	.	.	PUNCT
ejpam-797	703	1	vector	vector	NOUN
ejpam-797	703	2	autoregressions	autoregression	NOUN
ejpam-797	703	3	and	and	CCONJ
ejpam-797	703	4	cointegration	cointegration	NOUN
ejpam-797	703	5	.	.	PUNCT
ejpam-797	704	1	in	in	ADP
ejpam-797	704	2	r	r	NOUN
ejpam-797	704	3	engle	engle	PROPN
ejpam-797	704	4	and	and	CCONJ
ejpam-797	704	5	d.	d.	PROPN
ejpam-797	704	6	mcfadden	mcfadden	PROPN
ejpam-797	704	7	,	,	PUNCT
ejpam-797	704	8	editors	editor	NOUN
ejpam-797	704	9	,	,	PUNCT
ejpam-797	704	10	the	the	DET
ejpam-797	704	11	handbook	handbook	NOUN
ejpam-797	704	12	of	of	ADP
ejpam-797	704	13	econometrics	econometric	NOUN
ejpam-797	704	14	,	,	PUNCT
ejpam-797	704	15	4	4	NUM
ejpam-797	704	16	.	.	PUNCT
ejpam-797	704	17	elsevier	elsevier	PROPN
ejpam-797	704	18	,	,	PUNCT
ejpam-797	704	19	amsterdam	amsterdam	PROPN
ejpam-797	704	20	,	,	PUNCT
ejpam-797	704	21	the	the	DET
ejpam-797	704	22	netherlands	netherlands	PROPN
ejpam-797	704	23	,	,	PUNCT
ejpam-797	704	24	1995	1995	NUM
ejpam-797	704	25	.	.	PUNCT
ejpam-797	705	1	[	[	X
ejpam-797	705	2	46	46	NUM
ejpam-797	705	3	]	]	X
ejpam-797	705	4	m	m	PROPN
ejpam-797	705	5	watson	watson	PROPN
ejpam-797	705	6	and	and	CCONJ
ejpam-797	705	7	r	r	PROPN
ejpam-797	705	8	engle	engle	NOUN
ejpam-797	705	9	.	.	PUNCT
ejpam-797	706	1	alternative	alternative	ADJ
ejpam-797	706	2	algorithms	algorithm	NOUN
ejpam-797	706	3	for	for	ADP
ejpam-797	706	4	the	the	DET
ejpam-797	706	5	estimation	estimation	NOUN
ejpam-797	706	6	of	of	ADP
ejpam-797	706	7	dynamic	dynamic	ADJ
ejpam-797	706	8	factor	factor	NOUN
ejpam-797	706	9	,	,	PUNCT
ejpam-797	706	10	mimic	mimic	ADJ
ejpam-797	706	11	,	,	PUNCT
ejpam-797	706	12	and	and	CCONJ
ejpam-797	706	13	varying	vary	VERB
ejpam-797	706	14	coefficient	coefficient	NOUN
ejpam-797	706	15	regression	regression	NOUN
ejpam-797	706	16	models	model	NOUN
ejpam-797	706	17	.	.	PUNCT
ejpam-797	707	1	journal	journal	NOUN
ejpam-797	707	2	of	of	ADP
ejpam-797	707	3	econometrics	econometric	NOUN
ejpam-797	707	4	,	,	PUNCT
ejpam-797	707	5	23:485	23:485	NUM
ejpam-797	707	6	-	-	SYM
ejpam-797	707	7	500	500	NUM
ejpam-797	707	8	,	,	PUNCT
ejpam-797	707	9	1983	1983	NUM
ejpam-797	707	10	.	.	PUNCT
ejpam-797	708	1	[	[	X
ejpam-797	708	2	47	47	NUM
ejpam-797	708	3	]	]	X
ejpam-797	708	4	h	h	NOUN
ejpam-797	708	5	wold	wold	ADJ
ejpam-797	708	6	.	.	PUNCT
ejpam-797	709	1	a	a	DET
ejpam-797	709	2	study	study	NOUN
ejpam-797	709	3	in	in	ADP
ejpam-797	709	4	the	the	DET
ejpam-797	709	5	analysis	analysis	NOUN
ejpam-797	709	6	of	of	ADP
ejpam-797	709	7	stationary	stationary	ADJ
ejpam-797	709	8	time	time	NOUN
ejpam-797	709	9	series	series	PROPN
ejpam-797	709	10	.	.	PUNCT
ejpam-797	710	1	almqvist	almqvist	PROPN
ejpam-797	710	2	and	and	CCONJ
ejpam-797	710	3	wiksell	wiksell	VERB
ejpam-797	710	4	,	,	PUNCT
ejpam-797	710	5	uppsala	uppsala	PROPN
ejpam-797	710	6	,	,	PUNCT
ejpam-797	710	7	sweden	sweden	PROPN
ejpam-797	710	8	,	,	PUNCT
ejpam-797	710	9	1938	1938	NUM
ejpam-797	710	10	.	.	PUNCT
ejpam-797	711	1	appendix	appendix	ADJ
ejpam-797	711	2	proof	proof	NOUN
ejpam-797	711	3	of	of	ADP
ejpam-797	711	4	theorem	theorem	NOUN
ejpam-797	711	5	1	1	NUM
ejpam-797	711	6	.	.	NUM
ejpam-797	711	7	0	0	NUM
ejpam-797	711	8	:	:	PUNCT
ejpam-797	711	9	,	,	PUNCT
ejpam-797	711	10	,	,	PUNCT
ejpam-797	711	11	h	h	NOUN
ejpam-797	711	12	h	h	NOUN
ejpam-797	711	13	h	h	NOUN
ejpam-797	712	1	aβ	aβ	VERB
ejpam-797	712	2	φ	φ	PROPN
ejpam-797	712	3	α	α	PROPN
ejpam-797	712	4	ψ⊥	ψ⊥	NOUN
ejpam-797	712	5	=	=	PUNCT
ejpam-797	713	1	=	=	NOUN
ejpam-797	713	2			NOUN
ejpam-797	713	3			VERB
ejpam-797	713	4	where	where	SCONJ
ejpam-797	713	5	h	h	PROPN
ejpam-797	713	6	p×s	p×s	PROPN
ejpam-797	713	7	,	,	PUNCT
ejpam-797	713	8	a	a	DET
ejpam-797	713	9	p×m	p×m	NOUN
ejpam-797	713	10	are	be	AUX
ejpam-797	713	11	known	know	VERB
ejpam-797	713	12	and	and	CCONJ
ejpam-797	713	13	φ	φ	PROPN
ejpam-797	713	14	(	(	PUNCT
ejpam-797	713	15	ps)×(r	ps)×(r	PROPN
ejpam-797	713	16	-	-	PUNCT
ejpam-797	713	17	s	s	NOUN
ejpam-797	713	18	)	)	PUNCT
ejpam-797	713	19	,	,	PUNCT
ejpam-797	713	20	ψ	ψ	X
ejpam-797	713	21	m×r	m×r	PROPN
ejpam-797	713	22	are	be	AUX
ejpam-797	713	23	unknown	unknown	ADJ
ejpam-797	713	24	,	,	PUNCT
ejpam-797	713	25	r≤m	r≤m	PROPN
ejpam-797	713	26	<	<	X
ejpam-797	713	27	p.	p.	NOUN
ejpam-797	713	28	the	the	DET
ejpam-797	713	29	reduced	reduce	VERB
ejpam-797	713	30	rank	rank	NOUN
ejpam-797	713	31	regression	regression	NOUN
ejpam-797	713	32	from	from	ADP
ejpam-797	713	33	(	(	PUNCT
ejpam-797	713	34	6	6	NUM
ejpam-797	713	35	)	)	PUNCT
ejpam-797	713	36	is	be	AUX
ejpam-797	713	37	0	0	NUM
ejpam-797	713	38	1	1	NUM
ejpam-797	713	39	1	1	NUM
ejpam-797	713	40	2	2	NUM
ejpam-797	713	41	1	1	NUM
ejpam-797	713	42	ˆt	ˆt	ADP
ejpam-797	713	43	t	t	PROPN
ejpam-797	713	44	t	t	PROPN
ejpam-797	713	45	tr	tr	VERB
ejpam-797	713	46	a	a	DET
ejpam-797	713	47	h	h	NOUN
ejpam-797	713	48	r	r	NOUN
ejpam-797	713	49	a	a	DET
ejpam-797	713	50	h	h	NOUN
ejpam-797	713	51	rψ	rψ	ADP
ejpam-797	713	52	ψ	ψ	PROPN
ejpam-797	713	53	φ	φ	PROPN
ejpam-797	714	1	ε⊥′	ε⊥′	PROPN
ejpam-797	714	2	′	′	NUM
ejpam-797	714	3	′=	′=	PROPN
ejpam-797	715	1	+	+	X
ejpam-797	716	1	+	+	CCONJ
ejpam-797	716	2	,	,	PUNCT
ejpam-797	716	3	(	(	PUNCT
ejpam-797	716	4	73	73	NUM
ejpam-797	716	5	)	)	PUNCT
ejpam-797	716	6	where	where	SCONJ
ejpam-797	716	7	ψ	ψ	NOUN
ejpam-797	716	8	is	be	AUX
ejpam-797	716	9	partitioned	partition	VERB
ejpam-797	716	10	conformably	conformably	ADV
ejpam-797	716	11	with	with	ADP
ejpam-797	716	12	β	β	PRON
ejpam-797	716	13	as	as	ADP
ejpam-797	716	14	[	[	PUNCT
ejpam-797	716	15	]	]	X
ejpam-797	716	16	1	1	NUM
ejpam-797	716	17	2,ψ	2,ψ	NUM
ejpam-797	716	18	ψ	ψ	NOUN
ejpam-797	716	19	,	,	PUNCT
ejpam-797	716	20	and	and	CCONJ
ejpam-797	716	21	is	be	AUX
ejpam-797	716	22	split	split	VERB
ejpam-797	716	23	into	into	ADP
ejpam-797	716	24	0	0	NUM
ejpam-797	716	25	1	1	NUM
ejpam-797	716	26	1	1	NUM
ejpam-797	716	27	2	2	NUM
ejpam-797	716	28	1	1	NUM
ejpam-797	716	29	ˆt	ˆt	NOUN
ejpam-797	716	30	t	t	X
ejpam-797	716	31	t	t	NOUN
ejpam-797	716	32	ta	ta	ADP
ejpam-797	716	33	r	r	NOUN
ejpam-797	716	34	h	h	NOUN
ejpam-797	716	35	r	r	NOUN
ejpam-797	717	1	h	h	NOUN
ejpam-797	717	2	r	r	NOUN
ejpam-797	717	3	aψ	aψ	NUM
ejpam-797	717	4	ψ	ψ	X
ejpam-797	717	5	φ	φ	NUM
ejpam-797	717	6	ε⊥′	ε⊥′	PROPN
ejpam-797	718	1	′	′	NUM
ejpam-797	718	2	′	′	NUM
ejpam-797	719	1	′	′	NUM
ejpam-797	720	1	′=	′=	PROPN
ejpam-797	721	1	+	+	X
ejpam-797	722	1	+	+	CCONJ
ejpam-797	722	2	(	(	PUNCT
ejpam-797	722	3	74	74	NUM
ejpam-797	722	4	)	)	PUNCT
ejpam-797	722	5	and	and	CCONJ
ejpam-797	722	6	0	0	NUM
ejpam-797	722	7	ˆt	ˆt	NOUN
ejpam-797	722	8	ta	ta	ADP
ejpam-797	722	9	r	r	NOUN
ejpam-797	722	10	a	a	DET
ejpam-797	722	11	ε⊥	ε⊥	PROPN
ejpam-797	722	12	⊥′	⊥′	PROPN
ejpam-797	722	13	′=	′=	PROPN
ejpam-797	722	14	.	.	PUNCT
ejpam-797	723	1	(	(	PUNCT
ejpam-797	723	2	75	75	NUM
ejpam-797	723	3	)	)	PUNCT
ejpam-797	723	4	this	this	PRON
ejpam-797	723	5	allows	allow	VERB
ejpam-797	723	6	one	one	NUM
ejpam-797	723	7	to	to	PART
ejpam-797	723	8	factor	factor	VERB
ejpam-797	723	9	the	the	DET
ejpam-797	723	10	likelihood	likelihood	NOUN
ejpam-797	723	11	function	function	NOUN
ejpam-797	723	12	into	into	ADP
ejpam-797	723	13	a	a	DET
ejpam-797	723	14	marginal	marginal	ADJ
ejpam-797	723	15	part	part	NOUN
ejpam-797	723	16	based	base	VERB
ejpam-797	723	17	on	on	ADP
ejpam-797	723	18	(	(	PUNCT
ejpam-797	723	19	75	75	NUM
ejpam-797	723	20	)	)	PUNCT
ejpam-797	723	21	and	and	CCONJ
ejpam-797	723	22	a	a	DET
ejpam-797	723	23	factor	factor	NOUN
ejpam-797	723	24	based	base	VERB
ejpam-797	723	25	on	on	ADP
ejpam-797	723	26	(	(	PUNCT
ejpam-797	723	27	74	74	X
ejpam-797	723	28	)	)	PUNCT
ejpam-797	723	29	conditional	conditional	ADJ
ejpam-797	723	30	on	on	ADP
ejpam-797	723	31	(	(	PUNCT
ejpam-797	723	32	75	75	NUM
ejpam-797	723	33	):	):	PUNCT
ejpam-797	723	34	references	reference	NOUN
ejpam-797	723	35	561	561	NUM
ejpam-797	723	36	0	0	NUM
ejpam-797	723	37	1	1	NUM
ejpam-797	723	38	1	1	NUM
ejpam-797	723	39	2	2	NUM
ejpam-797	723	40	1	1	NUM
ejpam-797	723	41	0	0	NUM
ejpam-797	723	42	ˆ	ˆ	NOUN
ejpam-797	723	43	ˆt	ˆt	ADP
ejpam-797	723	44	t	t	PROPN
ejpam-797	723	45	t	t	PROPN
ejpam-797	723	46	t	t	PROPN
ejpam-797	723	47	t	t	X
ejpam-797	723	48	ta	ta	ADP
ejpam-797	723	49	r	r	NOUN
ejpam-797	723	50	h	h	NOUN
ejpam-797	724	1	r	r	NOUN
ejpam-797	724	2	h	h	NOUN
ejpam-797	724	3	r	r	NOUN
ejpam-797	724	4	a	a	DET
ejpam-797	724	5	r	r	NOUN
ejpam-797	724	6	a	a	DET
ejpam-797	724	7	aψ	aψ	NOUN
ejpam-797	724	8	ψ	ψ	X
ejpam-797	724	9	φ	φ	PROPN
ejpam-797	724	10	ω	ω	PROPN
ejpam-797	724	11	ε	ε	PROPN
ejpam-797	724	12	ω	ω	NUM
ejpam-797	724	13	ε⊥	ε⊥	PROPN
ejpam-797	725	1	⊥	⊥	PROPN
ejpam-797	725	2	⊥′	⊥′	PROPN
ejpam-797	725	3	′	′	NUM
ejpam-797	726	1	′	′	NUM
ejpam-797	727	1	′	′	NUM
ejpam-797	728	1	′	′	NUM
ejpam-797	729	1	′	′	NUM
ejpam-797	730	1	′=	′=	PROPN
ejpam-797	730	2	+	+	PUNCT
ejpam-797	731	1	+	+	PUNCT
ejpam-797	732	1	+	+	CCONJ
ejpam-797	732	2	−	−	PROPN
ejpam-797	732	3	(	(	PUNCT
ejpam-797	732	4	76	76	NUM
ejpam-797	732	5	)	)	PUNCT
ejpam-797	732	6	where	where	SCONJ
ejpam-797	732	7	(	(	PUNCT
ejpam-797	732	8	)	)	PUNCT
ejpam-797	732	9	11	11	NUM
ejpam-797	732	10	aa	aa	NOUN
ejpam-797	732	11	a	a	PRON
ejpam-797	732	12	a	a	DET
ejpam-797	732	13	a	a	DET
ejpam-797	732	14	a	a	DET
ejpam-797	732	15	a	a	PRON
ejpam-797	732	16	aω	aω	NOUN
ejpam-797	732	17	⊥	⊥	PROPN
ejpam-797	732	18	⊥	⊥	X
ejpam-797	732	19	⊥	⊥	PROPN
ejpam-797	732	20	−−	−−	NOUN
ejpam-797	732	21	⊥	⊥	PROPN
ejpam-797	732	22	⊥	⊥	ADJ
ejpam-797	732	23	⊥′	⊥′	PROPN
ejpam-797	732	24	′=	′=	PROPN
ejpam-797	732	25	ω	ω	PROPN
ejpam-797	732	26	ω	ω	PROPN
ejpam-797	732	27	=	=	PROPN
ejpam-797	732	28	ω	ω	PROPN
ejpam-797	732	29	ω	ω	PROPN
ejpam-797	732	30	.	.	PUNCT
ejpam-797	733	1	(	(	PUNCT
ejpam-797	733	2	77	77	NUM
ejpam-797	733	3	)	)	PUNCT
ejpam-797	733	4	the	the	DET
ejpam-797	733	5	parameters	parameter	NOUN
ejpam-797	733	6	in	in	ADP
ejpam-797	733	7	the	the	DET
ejpam-797	733	8	two	two	NUM
ejpam-797	733	9	equations	equation	NOUN
ejpam-797	733	10	are	be	AUX
ejpam-797	733	11	variation	variation	NOUN
ejpam-797	733	12	independent	independent	ADJ
ejpam-797	733	13	with	with	ADP
ejpam-797	733	14	independent	independent	ADJ
ejpam-797	733	15	errors	error	NOUN
ejpam-797	733	16	,	,	PUNCT
ejpam-797	733	17	and	and	CCONJ
ejpam-797	733	18	the	the	DET
ejpam-797	733	19	maximized	maximized	ADJ
ejpam-797	733	20	likelihood	likelihood	NOUN
ejpam-797	733	21	will	will	AUX
ejpam-797	733	22	be	be	AUX
ejpam-797	733	23	the	the	DET
ejpam-797	733	24	product	product	NOUN
ejpam-797	733	25	of	of	ADP
ejpam-797	733	26	the	the	DET
ejpam-797	733	27	maxima	maxima	NOUN
ejpam-797	733	28	of	of	ADP
ejpam-797	733	29	the	the	DET
ejpam-797	733	30	two	two	NUM
ejpam-797	733	31	factors	factor	NOUN
ejpam-797	733	32	.	.	PUNCT
ejpam-797	734	1	the	the	DET
ejpam-797	734	2	maximum	maximum	NOUN
ejpam-797	734	3	of	of	ADP
ejpam-797	734	4	the	the	DET
ejpam-797	734	5	likelihood	likelihood	NOUN
ejpam-797	734	6	function	function	NOUN
ejpam-797	734	7	for	for	ADP
ejpam-797	734	8	the	the	DET
ejpam-797	734	9	factor	factor	NOUN
ejpam-797	734	10	corresponding	correspond	VERB
ejpam-797	734	11	to	to	ADP
ejpam-797	734	12	the	the	DET
ejpam-797	734	13	marginal	marginal	ADJ
ejpam-797	734	14	distribution	distribution	NOUN
ejpam-797	734	15	of	of	ADP
ejpam-797	734	16	0ta	0ta	ADJ
ejpam-797	734	17	r⊥′	r⊥′	PROPN
ejpam-797	734	18	is	be	AUX
ejpam-797	734	19	,	,	PUNCT
ejpam-797	734	20	apart	apart	ADV
ejpam-797	734	21	from	from	ADP
ejpam-797	734	22	a	a	DET
ejpam-797	734	23	constant	constant	ADJ
ejpam-797	734	24	,	,	PUNCT
ejpam-797	734	25	2	2	NUM
ejpam-797	734	26	max	max	NOUN
ejpam-797	734	27	ˆ	ˆ	NOUN
ejpam-797	734	28	a	a	PRON
ejpam-797	734	29	at	at	ADP
ejpam-797	734	30	ml	ml	PROPN
ejpam-797	734	31	a	a	DET
ejpam-797	734	32	a	a	DET
ejpam-797	734	33	⊥	⊥	PROPN
ejpam-797	734	34	⊥−	⊥−	NOUN
ejpam-797	734	35	⊥	⊥	PROPN
ejpam-797	734	36	⊥	⊥	PROPN
ejpam-797	734	37	ω	ω	PROPN
ejpam-797	734	38	=	=	SYM
ejpam-797	734	39	′	′	NOUN
ejpam-797	734	40	.	.	PUNCT
ejpam-797	735	1	the	the	DET
ejpam-797	735	2	denominator	denominator	NOUN
ejpam-797	735	3	is	be	AUX
ejpam-797	735	4	estimated	estimate	VERB
ejpam-797	735	5	by	by	ADP
ejpam-797	735	6	(	(	PUNCT
ejpam-797	735	7	)	)	PUNCT
ejpam-797	735	8	00	00	NUM
ejpam-797	736	1	ˆ	ˆ	X
ejpam-797	736	2	ˆ	ˆ	ADV
ejpam-797	736	3	a	a	DET
ejpam-797	736	4	a	a	DET
ejpam-797	736	5	a	a	DET
ejpam-797	736	6	a	a	DET
ejpam-797	736	7	a	a	DET
ejpam-797	736	8	s	s	NOUN
ejpam-797	736	9	a	a	DET
ejpam-797	736	10	⊥	⊥	PROPN
ejpam-797	736	11	⊥	⊥	NOUN
ejpam-797	736	12	⊥	⊥	PROPN
ejpam-797	736	13	⊥	⊥	PROPN
ejpam-797	736	14	⊥	⊥	X
ejpam-797	736	15	⊥′	⊥′	PROPN
ejpam-797	736	16	′ω	′ω	PROPN
ejpam-797	736	17	=	=	SYM
ejpam-797	736	18	ω	ω	PROPN
ejpam-797	736	19	=	=	PUNCT
ejpam-797	736	20	thus	thus	ADV
ejpam-797	736	21	,	,	PUNCT
ejpam-797	736	22	002	002	NUM
ejpam-797	736	23	max	max	PROPN
ejpam-797	736	24	t	t	PROPN
ejpam-797	736	25	m	m	VERB
ejpam-797	736	26	a	a	DET
ejpam-797	736	27	s	s	PROPN
ejpam-797	736	28	a	a	DET
ejpam-797	736	29	l	l	NOUN
ejpam-797	736	30	a	a	DET
ejpam-797	736	31	a	a	DET
ejpam-797	736	32	⊥	⊥	PROPN
ejpam-797	736	33	⊥−	⊥−	NOUN
ejpam-797	736	34	⊥	⊥	NOUN
ejpam-797	736	35	⊥	⊥	NOUN
ejpam-797	736	36	′	′	NUM
ejpam-797	737	1	=	=	PUNCT
ejpam-797	737	2	′	′	NUM
ejpam-797	737	3	(	(	PUNCT
ejpam-797	737	4	78	78	NUM
ejpam-797	737	5	)	)	PUNCT
ejpam-797	737	6	analysis	analysis	NOUN
ejpam-797	737	7	of	of	ADP
ejpam-797	737	8	the	the	DET
ejpam-797	737	9	factor	factor	NOUN
ejpam-797	737	10	of	of	ADP
ejpam-797	737	11	the	the	DET
ejpam-797	737	12	likelihood	likelihood	NOUN
ejpam-797	737	13	function	function	NOUN
ejpam-797	737	14	that	that	PRON
ejpam-797	737	15	corresponds	correspond	VERB
ejpam-797	737	16	to	to	ADP
ejpam-797	737	17	the	the	DET
ejpam-797	737	18	distribution	distribution	NOUN
ejpam-797	737	19	of	of	ADP
ejpam-797	737	20	0ta	0ta	ADJ
ejpam-797	737	21	r′	r′	NOUN
ejpam-797	737	22	conditional	conditional	NOUN
ejpam-797	737	23	on	on	ADP
ejpam-797	737	24	0ta	0ta	ADJ
ejpam-797	737	25	r⊥′	r⊥′	PROPN
ejpam-797	737	26	and	and	CCONJ
ejpam-797	737	27	1tr	1tr	NOUN
ejpam-797	737	28	is	be	AUX
ejpam-797	737	29	found	find	VERB
ejpam-797	737	30	by	by	ADP
ejpam-797	737	31	reduced	reduce	VERB
ejpam-797	737	32	rank	rank	NOUN
ejpam-797	737	33	regression	regression	NOUN
ejpam-797	737	34	.	.	PUNCT
ejpam-797	738	1	it	it	PRON
ejpam-797	738	2	is	be	AUX
ejpam-797	738	3	equivalent	equivalent	ADJ
ejpam-797	738	4	to	to	ADP
ejpam-797	738	5	maximizing	maximize	VERB
ejpam-797	738	6	the	the	DET
ejpam-797	738	7	concentrated	concentrated	ADJ
ejpam-797	738	8	conditional	conditional	ADJ
ejpam-797	738	9	factor	factor	NOUN
ejpam-797	738	10	as	as	ADP
ejpam-797	738	11	function	function	NOUN
ejpam-797	738	12	of	of	ADP
ejpam-797	738	13	the	the	DET
ejpam-797	738	14	unknown	unknown	ADJ
ejpam-797	738	15	parameter	parameter	NOUN
ejpam-797	738	16	matrix	matrix	NOUN
ejpam-797	738	17	φ	φ	NOUN
ejpam-797	738	18	.	.	PUNCT
ejpam-797	739	1	first	first	ADV
ejpam-797	739	2	,	,	PUNCT
ejpam-797	739	3	one	one	NUM
ejpam-797	739	4	estimates	estimate	VERB
ejpam-797	739	5	ω	ω	NOUN
ejpam-797	739	6	by	by	ADP
ejpam-797	739	7	fixing	fix	VERB
ejpam-797	739	8	1ψ	1ψ	NUM
ejpam-797	739	9	,	,	PUNCT
ejpam-797	739	10	2ψ	2ψ	NUM
ejpam-797	739	11	,	,	PUNCT
ejpam-797	739	12	and	and	CCONJ
ejpam-797	739	13	φ	φ	NUM
ejpam-797	739	14	and	and	CCONJ
ejpam-797	739	15	regressing	regress	VERB
ejpam-797	739	16	0	0	NUM
ejpam-797	739	17	1	1	NUM
ejpam-797	739	18	1	1	NUM
ejpam-797	739	19	2	2	NUM
ejpam-797	739	20	1	1	NUM
ejpam-797	739	21	t	t	NOUN
ejpam-797	739	22	t	t	NOUN
ejpam-797	739	23	ta	ta	ADP
ejpam-797	739	24	r	r	NOUN
ejpam-797	739	25	h	h	NOUN
ejpam-797	740	1	r	r	NOUN
ejpam-797	740	2	h	h	NOUN
ejpam-797	740	3	rψ	rψ	PROPN
ejpam-797	740	4	ψ	ψ	PROPN
ejpam-797	740	5	φ	φ	PROPN
ejpam-797	740	6	⊥′	⊥′	PROPN
ejpam-797	740	7	′	′	NUM
ejpam-797	740	8	′	′	NUM
ejpam-797	741	1	′−	′−	PROPN
ejpam-797	741	2	−	−	PROPN
ejpam-797	741	3	on	on	ADP
ejpam-797	741	4	0ta	0ta	ADJ
ejpam-797	741	5	r⊥′	r⊥′	PROPN
ejpam-797	741	6	.	.	PUNCT
ejpam-797	742	1	this	this	DET
ejpam-797	742	2	yields	yield	NOUN
ejpam-797	742	3	(	(	PUNCT
ejpam-797	742	4	)	)	PUNCT
ejpam-797	742	5	(	(	PUNCT
ejpam-797	742	6	)	)	PUNCT
ejpam-797	742	7	(	(	PUNCT
ejpam-797	742	8	)	)	PUNCT
ejpam-797	742	9	1	1	NUM
ejpam-797	742	10	1	1	NUM
ejpam-797	742	11	2	2	NUM
ejpam-797	742	12	00	00	NUM
ejpam-797	742	13	1	1	NUM
ejpam-797	742	14	10	10	NUM
ejpam-797	742	15	2	2	NUM
ejpam-797	742	16	10	10	NUM
ejpam-797	742	17	00ˆ	00ˆ	NOUN
ejpam-797	742	18	,	,	PUNCT
ejpam-797	742	19	,	,	PUNCT
ejpam-797	742	20	a	a	DET
ejpam-797	742	21	s	s	X
ejpam-797	742	22	a	a	DET
ejpam-797	742	23	h	h	NOUN
ejpam-797	742	24	s	s	VERB
ejpam-797	742	25	a	a	DET
ejpam-797	742	26	h	h	NOUN
ejpam-797	742	27	s	s	VERB
ejpam-797	742	28	a	a	PRON
ejpam-797	742	29	a	a	DET
ejpam-797	742	30	s	s	X
ejpam-797	742	31	aω	aω	NOUN
ejpam-797	742	32	ψ	ψ	X
ejpam-797	742	33	ψ	ψ	X
ejpam-797	742	34	φ	φ	X
ejpam-797	742	35	ψ	ψ	X
ejpam-797	742	36	ψ	ψ	X
ejpam-797	742	37	φ	φ	NUM
ejpam-797	742	38	−	−	PROPN
ejpam-797	743	1	⊥	⊥	PROPN
ejpam-797	743	2	⊥	⊥	PROPN
ejpam-797	743	3	⊥	⊥	PROPN
ejpam-797	743	4	⊥	⊥	PROPN
ejpam-797	743	5	⊥	⊥	PROPN
ejpam-797	743	6	⊥′	⊥′	PROPN
ejpam-797	743	7	′	′	NUM
ejpam-797	744	1	′	′	NUM
ejpam-797	745	1	′	′	NUM
ejpam-797	746	1	′=	′=	PROPN
ejpam-797	746	2	−	−	PROPN
ejpam-797	747	1	−	−	PROPN
ejpam-797	747	2	.	.	PUNCT
ejpam-797	748	1	(	(	PUNCT
ejpam-797	748	2	79	79	NUM
ejpam-797	748	3	)	)	PUNCT
ejpam-797	748	4	this	this	PRON
ejpam-797	748	5	allows	allow	VERB
ejpam-797	748	6	one	one	PRON
ejpam-797	748	7	to	to	PART
ejpam-797	748	8	correct	correct	VERB
ejpam-797	748	9	for	for	ADP
ejpam-797	748	10	0ta	0ta	ADJ
ejpam-797	748	11	r⊥′	r⊥′	PROPN
ejpam-797	748	12	in	in	ADP
ejpam-797	748	13	(	(	PUNCT
ejpam-797	748	14	75	75	NUM
ejpam-797	748	15	)	)	PUNCT
ejpam-797	748	16	by	by	ADP
ejpam-797	748	17	forming	form	VERB
ejpam-797	748	18	new	new	ADJ
ejpam-797	748	19	residual	residual	ADJ
ejpam-797	748	20	vectors	vector	NOUN
ejpam-797	748	21	(	(	PUNCT
ejpam-797	748	22	)	)	PUNCT
ejpam-797	748	23	1	1	NUM
ejpam-797	748	24	.	.	PUNCT
ejpam-797	748	25	0	0	NUM
ejpam-797	748	26	00	00	NUM
ejpam-797	748	27	0	0	NUM
ejpam-797	748	28	,	,	PUNCT
ejpam-797	748	29	0,1it	0,1it	NOUN
ejpam-797	748	30	a	a	PRON
ejpam-797	748	31	it	it	PRON
ejpam-797	749	1	i	i	PRON
ejpam-797	749	2	tr	tr	VERB
ejpam-797	749	3	r	r	NOUN
ejpam-797	749	4	s	s	PRON
ejpam-797	749	5	a	a	PRON
ejpam-797	749	6	a	a	PRON
ejpam-797	749	7	s	s	NOUN
ejpam-797	749	8	a	a	DET
ejpam-797	749	9	a	a	DET
ejpam-797	749	10	r	r	NOUN
ejpam-797	749	11	i	i	NOUN
ejpam-797	749	12	⊥	⊥	NOUN
ejpam-797	749	13	−	−	PROPN
ejpam-797	750	1	⊥	⊥	PROPN
ejpam-797	750	2	⊥	⊥	PROPN
ejpam-797	750	3	⊥	⊥	ADJ
ejpam-797	750	4	⊥′	⊥′	PROPN
ejpam-797	750	5	′=	′=	PROPN
ejpam-797	750	6	−	−	PROPN
ejpam-797	750	7	=	=	PUNCT
ejpam-797	750	8	(	(	PUNCT
ejpam-797	750	9	80	80	NUM
ejpam-797	750	10	)	)	PUNCT
ejpam-797	750	11	and	and	CCONJ
ejpam-797	750	12	product	product	NOUN
ejpam-797	750	13	moment	moment	NOUN
ejpam-797	750	14	matrices	matrix	NOUN
ejpam-797	750	15	(	(	PUNCT
ejpam-797	750	16	)	)	PUNCT
ejpam-797	750	17	.	.	PUNCT
ejpam-797	750	18	.	.	PUNCT
ejpam-797	750	19	.	.	PUNCT
ejpam-797	751	1	1	1	NUM
ejpam-797	751	2	1	1	NUM
ejpam-797	751	3	0	0	NUM
ejpam-797	751	4	00	00	NUM
ejpam-797	751	5	0	0	NUM
ejpam-797	751	6	1	1	NUM
ejpam-797	751	7	,	,	PUNCT
ejpam-797	751	8	,	,	PUNCT
ejpam-797	751	9	0,1	0,1	NUM
ejpam-797	751	10	t	t	NOUN
ejpam-797	751	11	ij	ij	NOUN
ejpam-797	751	12	a	a	DET
ejpam-797	751	13	it	it	PRON
ejpam-797	751	14	a	a	DET
ejpam-797	751	15	jt	jt	PROPN
ejpam-797	751	16	a	a	DET
ejpam-797	751	17	t	t	NOUN
ejpam-797	751	18	ij	ij	INTJ
ejpam-797	752	1	i	i	INTJ
ejpam-797	752	2	j	j	PROPN
ejpam-797	752	3	s	s	X
ejpam-797	752	4	r	r	NOUN
ejpam-797	752	5	r	r	NOUN
ejpam-797	752	6	t	t	NOUN
ejpam-797	752	7	s	s	NOUN
ejpam-797	752	8	s	s	X
ejpam-797	752	9	a	a	DET
ejpam-797	752	10	a	a	DET
ejpam-797	752	11	s	s	NOUN
ejpam-797	752	12	a	a	DET
ejpam-797	752	13	a	a	DET
ejpam-797	752	14	s	s	X
ejpam-797	753	1	i	i	NOUN
ejpam-797	753	2	j	j	PROPN
ejpam-797	754	1	⊥	⊥	X
ejpam-797	754	2	⊥	⊥	X
ejpam-797	754	3	⊥	⊥	PROPN
ejpam-797	754	4	=	=	PUNCT
ejpam-797	754	5	−	−	PROPN
ejpam-797	755	1	⊥	⊥	X
ejpam-797	755	2	⊥	⊥	PROPN
ejpam-797	755	3	⊥	⊥	PROPN
ejpam-797	755	4	⊥	⊥	PROPN
ejpam-797	755	5	′=	′=	PROPN
ejpam-797	755	6	′	′	PROPN
ejpam-797	755	7	′=	′=	PROPN
ejpam-797	755	8	−	−	PROPN
ejpam-797	756	1	=	=	PUNCT
ejpam-797	756	2	∑	∑	PROPN
ejpam-797	756	3	.	.	PUNCT
ejpam-797	757	1	(	(	PUNCT
ejpam-797	757	2	81	81	NUM
ejpam-797	757	3	)	)	PUNCT
ejpam-797	757	4	thus	thus	ADV
ejpam-797	757	5	we	we	PRON
ejpam-797	757	6	can	can	AUX
ejpam-797	757	7	write	write	VERB
ejpam-797	757	8	the	the	DET
ejpam-797	757	9	conditional	conditional	ADJ
ejpam-797	757	10	regression	regression	NOUN
ejpam-797	757	11	equation	equation	NOUN
ejpam-797	757	12	(	(	PUNCT
ejpam-797	757	13	76	76	NUM
ejpam-797	757	14	)	)	PUNCT
ejpam-797	757	15	as	as	ADP
ejpam-797	757	16	0	0	NUM
ejpam-797	757	17	.	.	PUNCT
ejpam-797	758	1	1	1	NUM
ejpam-797	758	2	1	1	NUM
ejpam-797	758	3	.	.	SYM
ejpam-797	758	4	2	2	NUM
ejpam-797	758	5	1	1	NUM
ejpam-797	758	6	.	.	PUNCT
ejpam-797	759	1	ˆ	ˆ	NOUN
ejpam-797	759	2	ˆ	ˆ	NOUN
ejpam-797	759	3	ˆt	ˆt	ADP
ejpam-797	759	4	a	a	DET
ejpam-797	759	5	t	t	NOUN
ejpam-797	759	6	a	a	DET
ejpam-797	759	7	t	t	NOUN
ejpam-797	759	8	a	a	DET
ejpam-797	759	9	t	t	NOUN
ejpam-797	759	10	ta	ta	ADP
ejpam-797	759	11	r	r	NOUN
ejpam-797	759	12	h	h	NOUN
ejpam-797	760	1	r	r	NOUN
ejpam-797	760	2	h	h	NOUN
ejpam-797	760	3	r	r	NOUN
ejpam-797	760	4	a	a	DET
ejpam-797	760	5	aψ	aψ	NOUN
ejpam-797	760	6	ψ	ψ	X
ejpam-797	760	7	φ	φ	PROPN
ejpam-797	760	8	ε	ε	PROPN
ejpam-797	760	9	ω	ω	PROPN
ejpam-797	760	10	ε	ε	PROPN
ejpam-797	760	11	⊥	⊥	PROPN
ejpam-797	760	12	⊥	⊥	PROPN
ejpam-797	760	13	⊥⊥	⊥⊥	PROPN
ejpam-797	760	14	⊥′	⊥′	PROPN
ejpam-797	760	15	′	′	NUM
ejpam-797	760	16	′	′	NUM
ejpam-797	761	1	′	′	NUM
ejpam-797	762	1	′	′	NUM
ejpam-797	763	1	′=	′=	PROPN
ejpam-797	763	2	+	+	PUNCT
ejpam-797	764	1	+	+	CCONJ
ejpam-797	764	2	−	−	X
ejpam-797	764	3	.	.	PUNCT
ejpam-797	765	1	(	(	PUNCT
ejpam-797	765	2	82	82	NUM
ejpam-797	765	3	)	)	PUNCT
ejpam-797	765	4	to	to	PART
ejpam-797	765	5	successively	successively	ADV
ejpam-797	765	6	concentrate	concentrate	VERB
ejpam-797	765	7	the	the	DET
ejpam-797	765	8	conditional	conditional	ADJ
ejpam-797	765	9	likelihood	likelihood	NOUN
ejpam-797	765	10	until	until	SCONJ
ejpam-797	765	11	it	it	PRON
ejpam-797	765	12	is	be	AUX
ejpam-797	765	13	solely	solely	ADV
ejpam-797	765	14	a	a	DET
ejpam-797	765	15	function	function	NOUN
ejpam-797	765	16	of	of	ADP
ejpam-797	765	17	φ	φ	PROPN
ejpam-797	765	18	,	,	PUNCT
ejpam-797	765	19	one	one	NUM
ejpam-797	765	20	fixes	fix	VERB
ejpam-797	765	21	2ψ	2ψ	NOUN
ejpam-797	765	22	and	and	CCONJ
ejpam-797	765	23	φ	φ	NUM
ejpam-797	765	24	and	and	CCONJ
ejpam-797	765	25	then	then	ADV
ejpam-797	765	26	estimates	estimate	VERB
ejpam-797	765	27	1ψ	1ψ	NUM
ejpam-797	765	28	by	by	ADP
ejpam-797	765	29	regressing	regress	VERB
ejpam-797	765	30	0	0	NUM
ejpam-797	765	31	.	.	PUNCT
ejpam-797	766	1	2	2	NUM
ejpam-797	766	2	1	1	NUM
ejpam-797	766	3	.t	.t	NOUN
ejpam-797	766	4	a	a	DET
ejpam-797	766	5	t	t	NOUN
ejpam-797	766	6	aa	aa	NOUN
ejpam-797	766	7	r	r	NOUN
ejpam-797	766	8	h	h	NOUN
ejpam-797	766	9	rψ	rψ	ADJ
ejpam-797	766	10	⊥	⊥	PROPN
ejpam-797	766	11	⊥	⊥	NOUN
ejpam-797	766	12	⊥	⊥	NOUN
ejpam-797	766	13	′	′	NUM
ejpam-797	766	14	′−	′−	NOUN
ejpam-797	766	15	on	on	ADP
ejpam-797	766	16	1	1	NUM
ejpam-797	766	17	.t	.t	NOUN
ejpam-797	766	18	ah	ah	INTJ
ejpam-797	766	19	r	r	NOUN
ejpam-797	766	20	⊥	⊥	NOUN
ejpam-797	766	21	′	′	NUM
ejpam-797	766	22	to	to	PART
ejpam-797	766	23	get	get	VERB
ejpam-797	766	24	(	(	PUNCT
ejpam-797	766	25	)	)	PUNCT
ejpam-797	766	26	(	(	PUNCT
ejpam-797	766	27	)	)	PUNCT
ejpam-797	766	28	1	1	NUM
ejpam-797	766	29	1	1	NUM
ejpam-797	766	30	01	01	NUM
ejpam-797	766	31	.	.	PUNCT
ejpam-797	766	32	2	2	NUM
ejpam-797	766	33	11	11	NUM
ejpam-797	766	34	.	.	PUNCT
ejpam-797	766	35	11.ˆ	11.ˆ	NUM
ejpam-797	767	1	a	a	DET
ejpam-797	767	2	a	a	DET
ejpam-797	767	3	aa	aa	NOUN
ejpam-797	767	4	s	s	X
ejpam-797	768	1	h	h	NOUN
ejpam-797	768	2	h	h	NOUN
ejpam-797	769	1	s	s	PART
ejpam-797	770	1	h	h	NOUN
ejpam-797	771	1	h	h	NOUN
ejpam-797	771	2	s	s	PROPN
ejpam-797	771	3	hψ	hψ	NOUN
ejpam-797	771	4	ψ	ψ	X
ejpam-797	771	5	φ	φ	PROPN
ejpam-797	771	6	⊥	⊥	PROPN
ejpam-797	771	7	⊥	⊥	PROPN
ejpam-797	771	8	⊥	⊥	PROPN
ejpam-797	772	1	−	−	PROPN
ejpam-797	772	2	⊥′	⊥′	PROPN
ejpam-797	773	1	′	′	NUM
ejpam-797	773	2	′	′	NUM
ejpam-797	774	1	′=	′=	PROPN
ejpam-797	774	2	−	−	PROPN
ejpam-797	774	3	.	.	PUNCT
ejpam-797	775	1	(	(	PUNCT
ejpam-797	775	2	83	83	NUM
ejpam-797	775	3	)	)	PUNCT
ejpam-797	775	4	one	one	NOUN
ejpam-797	775	5	then	then	ADV
ejpam-797	775	6	corrects	correct	VERB
ejpam-797	775	7	.it	.it	PUNCT
ejpam-797	775	8	ar	ar	PROPN
ejpam-797	775	9	⊥	⊥	PROPN
ejpam-797	775	10	for	for	ADP
ejpam-797	775	11	1	1	NUM
ejpam-797	775	12	.t	.t	NOUN
ejpam-797	775	13	ah	ah	INTJ
ejpam-797	775	14	r	r	NOUN
ejpam-797	775	15	⊥	⊥	NOUN
ejpam-797	775	16	′	′	NUM
ejpam-797	775	17	by	by	ADP
ejpam-797	775	18	forming	form	VERB
ejpam-797	775	19	new	new	ADJ
ejpam-797	775	20	residuals	residual	NOUN
ejpam-797	775	21	(	(	PUNCT
ejpam-797	775	22	)	)	PUNCT
ejpam-797	775	23	1	1	NUM
ejpam-797	775	24	.	.	PUNCT
ejpam-797	775	25	.	.	PUNCT
ejpam-797	775	26	.	.	PUNCT
ejpam-797	776	1	1	1	X
ejpam-797	776	2	.	.	X
ejpam-797	776	3	11	11	NUM
ejpam-797	776	4	.	.	NOUN
ejpam-797	776	5	1	1	NUM
ejpam-797	776	6	.	.	PUNCT
ejpam-797	776	7	,	,	PUNCT
ejpam-797	776	8	0,1it	0,1it	NOUN
ejpam-797	777	1	a	a	DET
ejpam-797	777	2	h	h	NOUN
ejpam-797	777	3	it	it	PRON
ejpam-797	777	4	a	a	PRON
ejpam-797	777	5	i	i	PRON
ejpam-797	777	6	a	a	DET
ejpam-797	777	7	a	a	DET
ejpam-797	777	8	t	t	NOUN
ejpam-797	777	9	ar	ar	NOUN
ejpam-797	777	10	r	r	NOUN
ejpam-797	777	11	s	s	PROPN
ejpam-797	777	12	h	h	NOUN
ejpam-797	777	13	h	h	NOUN
ejpam-797	777	14	s	s	NOUN
ejpam-797	777	15	h	h	NOUN
ejpam-797	778	1	h	h	NOUN
ejpam-797	779	1	r	r	NOUN
ejpam-797	780	1	i	i	NOUN
ejpam-797	781	1	⊥	⊥	PROPN
ejpam-797	781	2	⊥	⊥	X
ejpam-797	781	3	⊥	⊥	PROPN
ejpam-797	781	4	⊥	⊥	X
ejpam-797	781	5	⊥	⊥	PROPN
ejpam-797	781	6	−	−	PROPN
ejpam-797	781	7	′	′	NUM
ejpam-797	781	8	′=	′=	NOUN
ejpam-797	781	9	−	−	PROPN
ejpam-797	782	1	=	=	PUNCT
ejpam-797	782	2	(	(	PUNCT
ejpam-797	782	3	84	84	NUM
ejpam-797	782	4	)	)	PUNCT
ejpam-797	782	5	and	and	CCONJ
ejpam-797	782	6	product	product	NOUN
ejpam-797	782	7	moment	moment	NOUN
ejpam-797	782	8	matrices	matrix	NOUN
ejpam-797	782	9	(	(	PUNCT
ejpam-797	782	10	)	)	PUNCT
ejpam-797	782	11	.	.	PUNCT
ejpam-797	782	12	.	.	PUNCT
ejpam-797	782	13	.	.	PUNCT
ejpam-797	782	14	.	.	PUNCT
ejpam-797	782	15	.	.	PUNCT
ejpam-797	783	1	.	.	PUNCT
ejpam-797	784	1	1	1	NUM
ejpam-797	784	2	1	1	NUM
ejpam-797	784	3	.	.	PUNCT
ejpam-797	785	1	1	1	NUM
ejpam-797	785	2	.	.	X
ejpam-797	785	3	11	11	NUM
ejpam-797	785	4	.	.	NOUN
ejpam-797	785	5	1	1	NUM
ejpam-797	785	6	.	.	NUM
ejpam-797	785	7	1	1	NUM
ejpam-797	785	8	,	,	PUNCT
ejpam-797	785	9	,	,	PUNCT
ejpam-797	785	10	0,1	0,1	NUM
ejpam-797	785	11	t	t	NOUN
ejpam-797	785	12	ij	ij	NOUN
ejpam-797	786	1	a	a	DET
ejpam-797	786	2	h	h	NOUN
ejpam-797	787	1	it	it	PRON
ejpam-797	788	1	a	a	DET
ejpam-797	788	2	h	h	NOUN
ejpam-797	788	3	jt	jt	PROPN
ejpam-797	788	4	a	a	DET
ejpam-797	788	5	h	h	NOUN
ejpam-797	788	6	t	t	X
ejpam-797	788	7	ij	ij	NOUN
ejpam-797	788	8	a	a	DET
ejpam-797	788	9	i	i	PRON
ejpam-797	789	1	a	a	DET
ejpam-797	789	2	a	a	DET
ejpam-797	789	3	j	j	NOUN
ejpam-797	789	4	a	a	DET
ejpam-797	789	5	s	s	NOUN
ejpam-797	789	6	r	r	NOUN
ejpam-797	789	7	r	r	NOUN
ejpam-797	789	8	t	t	NOUN
ejpam-797	789	9	s	s	NOUN
ejpam-797	789	10	s	s	NOUN
ejpam-797	789	11	h	h	NOUN
ejpam-797	789	12	h	h	NOUN
ejpam-797	789	13	s	s	NOUN
ejpam-797	790	1	h	h	NOUN
ejpam-797	790	2	h	h	NOUN
ejpam-797	790	3	s	s	VERB
ejpam-797	791	1	i	i	PRON
ejpam-797	791	2	j	j	PROPN
ejpam-797	792	1	⊥	⊥	X
ejpam-797	792	2	⊥	⊥	PROPN
ejpam-797	792	3	⊥	⊥	PROPN
ejpam-797	792	4	⊥	⊥	PROPN
ejpam-797	792	5	⊥	⊥	PROPN
ejpam-797	792	6	⊥	⊥	X
ejpam-797	792	7	⊥	⊥	PROPN
ejpam-797	792	8	=	=	PUNCT
ejpam-797	792	9	−	−	PROPN
ejpam-797	792	10	′=	′=	PROPN
ejpam-797	792	11	′	′	PROPN
ejpam-797	792	12	′=	′=	PROPN
ejpam-797	792	13	−	−	PROPN
ejpam-797	793	1	=	=	PUNCT
ejpam-797	793	2	∑	∑	PROPN
ejpam-797	793	3	.	.	PUNCT
ejpam-797	794	1	(	(	PUNCT
ejpam-797	794	2	85	85	NUM
ejpam-797	794	3	)	)	PUNCT
ejpam-797	794	4	thus	thus	ADV
ejpam-797	794	5	one	one	NUM
ejpam-797	794	6	can	can	AUX
ejpam-797	794	7	rewrite	rewrite	VERB
ejpam-797	794	8	(	(	PUNCT
ejpam-797	794	9	82	82	NUM
ejpam-797	794	10	)	)	PUNCT
ejpam-797	794	11	as	as	ADP
ejpam-797	794	12	references	reference	NOUN
ejpam-797	794	13	562	562	NUM
ejpam-797	794	14	0	0	NUM
ejpam-797	794	15	.	.	PUNCT
ejpam-797	794	16	.	.	PUNCT
ejpam-797	795	1	2	2	NUM
ejpam-797	795	2	1	1	NUM
ejpam-797	795	3	.	.	PUNCT
ejpam-797	795	4	.	.	PUNCT
ejpam-797	796	1	ˆt	ˆt	ADP
ejpam-797	796	2	a	a	DET
ejpam-797	796	3	h	h	NOUN
ejpam-797	796	4	t	t	NOUN
ejpam-797	796	5	a	a	DET
ejpam-797	796	6	h	h	NOUN
ejpam-797	796	7	ta	ta	ADP
ejpam-797	796	8	r	r	NOUN
ejpam-797	796	9	h	h	NOUN
ejpam-797	796	10	r	r	NOUN
ejpam-797	796	11	uψ	uψ	PROPN
ejpam-797	796	12	φ	φ	PROPN
ejpam-797	796	13	⊥	⊥	PROPN
ejpam-797	796	14	⊥⊥′	⊥⊥′	NOUN
ejpam-797	796	15	′	′	PROPN
ejpam-797	796	16	′=	′=	PROPN
ejpam-797	796	17	+	+	CCONJ
ejpam-797	796	18	,	,	PUNCT
ejpam-797	796	19	(	(	PUNCT
ejpam-797	796	20	86	86	NUM
ejpam-797	796	21	)	)	PUNCT
ejpam-797	796	22	for	for	ADP
ejpam-797	796	23	which	which	PRON
ejpam-797	796	24	ˆ	ˆ	PRON
ejpam-797	796	25	ˆ	ˆ	ADP
ejpam-797	796	26	ˆˆt	ˆˆt	PROPN
ejpam-797	796	27	t	t	PROPN
ejpam-797	796	28	tu	tu	PROPN
ejpam-797	796	29	a	a	DET
ejpam-797	796	30	aε	aε	PROPN
ejpam-797	796	31	ω	ω	NUM
ejpam-797	796	32	ε⊥′	ε⊥′	PROPN
ejpam-797	796	33	′=	′=	PROPN
ejpam-797	796	34	−	−	PROPN
ejpam-797	796	35	.	.	PUNCT
ejpam-797	797	1	(	(	PUNCT
ejpam-797	797	2	87	87	NUM
ejpam-797	797	3	)	)	PUNCT
ejpam-797	797	4	fixing	fix	VERB
ejpam-797	797	5	φ	φ	NUM
ejpam-797	797	6	,	,	PUNCT
ejpam-797	797	7	one	one	NUM
ejpam-797	797	8	estimates	estimate	VERB
ejpam-797	797	9	2ψ	2ψ	NUM
ejpam-797	797	10	by	by	ADP
ejpam-797	797	11	regressing	regress	VERB
ejpam-797	797	12	0	0	NUM
ejpam-797	797	13	.	.	PUNCT
ejpam-797	798	1	.t	.t	PROPN
ejpam-797	798	2	a	a	DET
ejpam-797	798	3	ha	ha	INTJ
ejpam-797	798	4	r	r	NOUN
ejpam-797	798	5	⊥	⊥	NOUN
ejpam-797	798	6	′	′	NUM
ejpam-797	798	7	on	on	ADP
ejpam-797	798	8	1	1	NUM
ejpam-797	798	9	.	.	PUNCT
ejpam-797	799	1	.t	.t	PROPN
ejpam-797	799	2	a	a	DET
ejpam-797	799	3	hh	hh	PROPN
ejpam-797	799	4	rϕ	rϕ	NOUN
ejpam-797	799	5	⊥⊥′	⊥⊥′	NOUN
ejpam-797	799	6	′	′	NOUN
ejpam-797	799	7	.	.	PUNCT
ejpam-797	800	1	this	this	PRON
ejpam-797	800	2	gives	give	VERB
ejpam-797	800	3	(	(	PUNCT
ejpam-797	800	4	)	)	PUNCT
ejpam-797	800	5	1	1	NUM
ejpam-797	800	6	2	2	NUM
ejpam-797	800	7	01	01	NUM
ejpam-797	800	8	.	.	PUNCT
ejpam-797	800	9	.	.	PUNCT
ejpam-797	801	1	11	11	NUM
ejpam-797	801	2	.	.	X
ejpam-797	801	3	.ˆ	.ˆ	VERB
ejpam-797	802	1	a	a	DET
ejpam-797	802	2	h	h	NOUN
ejpam-797	802	3	a	a	DET
ejpam-797	802	4	ha	ha	INTJ
ejpam-797	802	5	s	s	VERB
ejpam-797	803	1	h	h	NOUN
ejpam-797	803	2	h	h	NOUN
ejpam-797	803	3	s	s	PROPN
ejpam-797	803	4	hψ	hψ	PROPN
ejpam-797	803	5	φ	φ	PROPN
ejpam-797	803	6	φ	φ	PROPN
ejpam-797	803	7	φ	φ	PROPN
ejpam-797	803	8	⊥	⊥	PROPN
ejpam-797	804	1	⊥	⊥	PROPN
ejpam-797	804	2	−	−	PROPN
ejpam-797	804	3	⊥	⊥	PROPN
ejpam-797	804	4	⊥	⊥	PROPN
ejpam-797	804	5	⊥′	⊥′	PROPN
ejpam-797	804	6	′	′	NUM
ejpam-797	804	7	′=	′=	PROPN
ejpam-797	804	8	(	(	PUNCT
ejpam-797	804	9	88	88	NUM
ejpam-797	804	10	)	)	PUNCT
ejpam-797	804	11	and	and	CCONJ
ejpam-797	804	12	(	(	PUNCT
ejpam-797	804	13	)	)	PUNCT
ejpam-797	804	14	1	1	NUM
ejpam-797	804	15	0	0	NUM
ejpam-797	804	16	.	.	PUNCT
ejpam-797	804	17	.	.	PUNCT
ejpam-797	805	1	01	01	NUM
ejpam-797	805	2	.	.	PUNCT
ejpam-797	805	3	.	.	PUNCT
ejpam-797	806	1	11	11	NUM
ejpam-797	806	2	.	.	PUNCT
ejpam-797	806	3	.	.	PUNCT
ejpam-797	807	1	1	1	X
ejpam-797	807	2	.	.	PUNCT
ejpam-797	807	3	.ˆt	.ˆt	PUNCT
ejpam-797	808	1	t	t	VERB
ejpam-797	808	2	a	a	DET
ejpam-797	808	3	h	h	NOUN
ejpam-797	808	4	a	a	DET
ejpam-797	808	5	h	h	NOUN
ejpam-797	809	1	a	a	DET
ejpam-797	809	2	h	h	NOUN
ejpam-797	809	3	t	t	PROPN
ejpam-797	809	4	a	a	DET
ejpam-797	809	5	hu	hu	PROPN
ejpam-797	809	6	a	a	DET
ejpam-797	809	7	r	r	NOUN
ejpam-797	810	1	a	a	DET
ejpam-797	810	2	s	s	NOUN
ejpam-797	810	3	h	h	NOUN
ejpam-797	810	4	h	h	NOUN
ejpam-797	810	5	s	s	NOUN
ejpam-797	810	6	h	h	NOUN
ejpam-797	810	7	h	h	NOUN
ejpam-797	810	8	rφ	rφ	VERB
ejpam-797	810	9	φ	φ	PROPN
ejpam-797	810	10	ϕ	ϕ	PROPN
ejpam-797	810	11	φ	φ	PROPN
ejpam-797	810	12	⊥	⊥	PROPN
ejpam-797	810	13	⊥	⊥	PROPN
ejpam-797	810	14	⊥	⊥	PROPN
ejpam-797	810	15	⊥	⊥	NOUN
ejpam-797	810	16	−	−	PROPN
ejpam-797	811	1	⊥	⊥	PROPN
ejpam-797	811	2	⊥	⊥	PROPN
ejpam-797	811	3	⊥	⊥	X
ejpam-797	811	4	⊥′	⊥′	PROPN
ejpam-797	811	5	′	′	NUM
ejpam-797	811	6	′	′	NUM
ejpam-797	812	1	′	′	NUM
ejpam-797	812	2	′	′	NUM
ejpam-797	813	1	′=	′=	PROPN
ejpam-797	813	2	−	−	PROPN
ejpam-797	813	3	.	.	PUNCT
ejpam-797	814	1	(	(	PUNCT
ejpam-797	814	2	89	89	NUM
ejpam-797	814	3	)	)	PUNCT
ejpam-797	814	4	the	the	DET
ejpam-797	814	5	factor	factor	NOUN
ejpam-797	814	6	of	of	ADP
ejpam-797	814	7	the	the	DET
ejpam-797	814	8	maximized	maximized	ADJ
ejpam-797	814	9	likelihood	likelihood	NOUN
ejpam-797	814	10	corresponding	correspond	VERB
ejpam-797	814	11	to	to	ADP
ejpam-797	814	12	the	the	DET
ejpam-797	814	13	conditional	conditional	ADJ
ejpam-797	814	14	distribution	distribution	NOUN
ejpam-797	814	15	is	be	AUX
ejpam-797	814	16	,	,	PUNCT
ejpam-797	814	17	apart	apart	ADV
ejpam-797	814	18	from	from	ADP
ejpam-797	814	19	a	a	DET
ejpam-797	814	20	constant	constant	ADJ
ejpam-797	814	21	,	,	PUNCT
ejpam-797	814	22	.2	.2	NUM
ejpam-797	814	23	max	max	PROPN
ejpam-797	814	24	ˆ	ˆ	ADP
ejpam-797	814	25	aa	aa	NOUN
ejpam-797	814	26	at	at	ADP
ejpam-797	814	27	cl	cl	NOUN
ejpam-797	814	28	a	a	DET
ejpam-797	814	29	a	a	DET
ejpam-797	814	30	⊥−	⊥−	NOUN
ejpam-797	814	31	ω	ω	NOUN
ejpam-797	814	32	=	=	SYM
ejpam-797	815	1	′	′	NUM
ejpam-797	815	2	(	(	PUNCT
ejpam-797	815	3	90	90	NUM
ejpam-797	815	4	)	)	PUNCT
ejpam-797	816	1	where	where	SCONJ
ejpam-797	816	2	(	(	PUNCT
ejpam-797	816	3	)	)	PUNCT
ejpam-797	816	4	1	1	NUM
ejpam-797	816	5	.	.	X
ejpam-797	816	6	1	1	NUM
ejpam-797	816	7	aa	aa	NOUN
ejpam-797	816	8	a	a	DET
ejpam-797	816	9	aa	aa	NOUN
ejpam-797	816	10	aa	aa	INTJ
ejpam-797	816	11	a	a	PRON
ejpam-797	816	12	a	a	DET
ejpam-797	816	13	a	a	DET
ejpam-797	816	14	a	a	DET
ejpam-797	816	15	a	a	DET
ejpam-797	816	16	a	a	DET
ejpam-797	816	17	a	a	DET
ejpam-797	816	18	a	a	DET
ejpam-797	816	19	a	a	DET
ejpam-797	816	20	a	a	DET
ejpam-797	816	21	a	a	DET
ejpam-797	816	22	a	a	DET
ejpam-797	816	23	⊥	⊥	PROPN
ejpam-797	816	24	⊥	⊥	NOUN
ejpam-797	816	25	⊥	⊥	PROPN
ejpam-797	816	26	⊥	⊥	PROPN
ejpam-797	816	27	⊥	⊥	NOUN
ejpam-797	816	28	−	−	PROPN
ejpam-797	816	29	−	−	PROPN
ejpam-797	816	30	⊥	⊥	PROPN
ejpam-797	816	31	⊥	⊥	PROPN
ejpam-797	816	32	⊥	⊥	PROPN
ejpam-797	816	33	⊥	⊥	PROPN
ejpam-797	816	34	ω	ω	PROPN
ejpam-797	816	35	=	=	SYM
ejpam-797	816	36	ω	ω	PROPN
ejpam-797	816	37	−	−	PROPN
ejpam-797	816	38	ω	ω	NUM
ejpam-797	816	39	ω	ω	PROPN
ejpam-797	816	40	ω	ω	NOUN
ejpam-797	816	41	′	′	NUM
ejpam-797	817	1	′	′	NUM
ejpam-797	818	1	′	′	NUM
ejpam-797	819	1	′	′	NUM
ejpam-797	819	2	′	′	NUM
ejpam-797	820	1	′=	′=	PROPN
ejpam-797	820	2	ω	ω	PROPN
ejpam-797	820	3	−	−	PROPN
ejpam-797	820	4	ω	ω	PROPN
ejpam-797	820	5	ω	ω	PROPN
ejpam-797	820	6	ω	ω	PROPN
ejpam-797	820	7	.	.	PUNCT
ejpam-797	821	1	(	(	PUNCT
ejpam-797	821	2	91	91	NUM
ejpam-797	821	3	)	)	PUNCT
ejpam-797	821	4	the	the	DET
ejpam-797	821	5	maximum	maximum	ADJ
ejpam-797	821	6	likelihood	likelihood	NOUN
ejpam-797	821	7	estimate	estimate	NOUN
ejpam-797	821	8	of	of	ADP
ejpam-797	821	9	the	the	DET
ejpam-797	821	10	conditional	conditional	ADJ
ejpam-797	821	11	variance	variance	NOUN
ejpam-797	821	12	matrix	matrix	NOUN
ejpam-797	821	13	is	be	AUX
ejpam-797	821	14	(	(	PUNCT
ejpam-797	821	15	)	)	PUNCT
ejpam-797	821	16	.	.	PUNCT
ejpam-797	822	1	1	1	NUM
ejpam-797	822	2	1	1	NUM
ejpam-797	822	3	00	00	NUM
ejpam-797	822	4	.	.	PUNCT
ejpam-797	822	5	.	.	PUNCT
ejpam-797	823	1	01	01	NUM
ejpam-797	823	2	.	.	PUNCT
ejpam-797	823	3	.	.	PUNCT
ejpam-797	824	1	11	11	NUM
ejpam-797	824	2	.	.	PUNCT
ejpam-797	824	3	.	.	PUNCT
ejpam-797	825	1	10	10	NUM
ejpam-797	825	2	.	.	PUNCT
ejpam-797	825	3	.	.	PUNCT
ejpam-797	826	1	1ˆ	1ˆ	NOUN
ejpam-797	826	2	ˆ	ˆ	VERB
ejpam-797	826	3	ˆ	ˆ	AUX
ejpam-797	826	4	t	t	NOUN
ejpam-797	826	5	aa	aa	NOUN
ejpam-797	826	6	a	a	DET
ejpam-797	826	7	t	t	NOUN
ejpam-797	826	8	t	t	PROPN
ejpam-797	826	9	t	t	PROPN
ejpam-797	826	10	a	a	DET
ejpam-797	826	11	h	h	NOUN
ejpam-797	826	12	a	a	DET
ejpam-797	826	13	h	h	NOUN
ejpam-797	826	14	a	a	DET
ejpam-797	826	15	h	h	NOUN
ejpam-797	826	16	a	a	DET
ejpam-797	826	17	h	h	NOUN
ejpam-797	826	18	u	u	X
ejpam-797	826	19	u	u	X
ejpam-797	826	20	t	t	PROPN
ejpam-797	826	21	a	a	PRON
ejpam-797	826	22	s	s	X
ejpam-797	826	23	a	a	DET
ejpam-797	826	24	a	a	DET
ejpam-797	826	25	s	s	NOUN
ejpam-797	826	26	h	h	NOUN
ejpam-797	826	27	h	h	NOUN
ejpam-797	826	28	s	s	NOUN
ejpam-797	827	1	h	h	NOUN
ejpam-797	827	2	h	h	NOUN
ejpam-797	827	3	s	s	PROPN
ejpam-797	827	4	aφ	aφ	VERB
ejpam-797	827	5	φ	φ	PROPN
ejpam-797	827	6	φ	φ	PROPN
ejpam-797	827	7	φ	φ	PROPN
ejpam-797	827	8	⊥	⊥	PROPN
ejpam-797	827	9	⊥	⊥	PROPN
ejpam-797	827	10	⊥	⊥	PROPN
ejpam-797	827	11	⊥	⊥	X
ejpam-797	827	12	⊥	⊥	NOUN
ejpam-797	827	13	=	=	PUNCT
ejpam-797	828	1	−	−	PROPN
ejpam-797	829	1	⊥	⊥	X
ejpam-797	829	2	⊥	⊥	PROPN
ejpam-797	829	3	⊥	⊥	X
ejpam-797	829	4	⊥	⊥	NOUN
ejpam-797	829	5	′ω	′ω	NOUN
ejpam-797	829	6	=	=	NOUN
ejpam-797	829	7	′	′	NUM
ejpam-797	830	1	′	′	NUM
ejpam-797	831	1	′	′	NUM
ejpam-797	832	1	′	′	NUM
ejpam-797	832	2	′	′	NUM
ejpam-797	833	1	′=	′=	PROPN
ejpam-797	833	2	−	−	PROPN
ejpam-797	834	1	∑	∑	PROPN
ejpam-797	834	2	(	(	PUNCT
ejpam-797	834	3	92	92	NUM
ejpam-797	834	4	)	)	PUNCT
ejpam-797	834	5	which	which	PRON
ejpam-797	834	6	gives	give	VERB
ejpam-797	834	7	the	the	DET
ejpam-797	834	8	maximized	maximized	ADJ
ejpam-797	834	9	conditional	conditional	ADJ
ejpam-797	834	10	likelihood	likelihood	NOUN
ejpam-797	834	11	(	(	PUNCT
ejpam-797	834	12	)	)	PUNCT
ejpam-797	834	13	(	(	PUNCT
ejpam-797	834	14	)	)	PUNCT
ejpam-797	834	15	2	2	NUM
ejpam-797	834	16	max	max	NOUN
ejpam-797	834	17	1	1	NUM
ejpam-797	834	18	00	00	NUM
ejpam-797	834	19	.	.	PUNCT
ejpam-797	834	20	.	.	PUNCT
ejpam-797	835	1	01	01	NUM
ejpam-797	835	2	.	.	PUNCT
ejpam-797	835	3	.	.	PUNCT
ejpam-797	836	1	11	11	NUM
ejpam-797	836	2	.	.	PUNCT
ejpam-797	836	3	.	.	PUNCT
ejpam-797	837	1	10	10	NUM
ejpam-797	837	2	.	.	PUNCT
ejpam-797	837	3	.	.	PUNCT
ejpam-797	838	1	t	t	PROPN
ejpam-797	838	2	c	c	PROPN
ejpam-797	838	3	a	a	DET
ejpam-797	838	4	h	h	NOUN
ejpam-797	838	5	a	a	DET
ejpam-797	838	6	h	h	NOUN
ejpam-797	838	7	a	a	DET
ejpam-797	838	8	h	h	NOUN
ejpam-797	838	9	a	a	DET
ejpam-797	838	10	h	h	NOUN
ejpam-797	839	1	l	l	NOUN
ejpam-797	839	2	a	a	DET
ejpam-797	839	3	s	s	X
ejpam-797	839	4	a	a	DET
ejpam-797	839	5	a	a	DET
ejpam-797	839	6	s	s	NOUN
ejpam-797	839	7	h	h	NOUN
ejpam-797	839	8	h	h	NOUN
ejpam-797	839	9	s	s	NOUN
ejpam-797	840	1	h	h	NOUN
ejpam-797	840	2	h	h	NOUN
ejpam-797	840	3	s	s	VERB
ejpam-797	840	4	a	a	PRON
ejpam-797	840	5	a	a	DET
ejpam-797	840	6	a	a	DET
ejpam-797	840	7	φ	φ	PROPN
ejpam-797	840	8	φ	φ	PROPN
ejpam-797	840	9	φ	φ	PROPN
ejpam-797	840	10	φ	φ	PROPN
ejpam-797	840	11	φ	φ	PROPN
ejpam-797	840	12	⊥	⊥	PROPN
ejpam-797	841	1	⊥	⊥	PROPN
ejpam-797	841	2	⊥	⊥	PROPN
ejpam-797	841	3	⊥	⊥	NOUN
ejpam-797	841	4	−	−	PROPN
ejpam-797	841	5	−	−	PROPN
ejpam-797	842	1	⊥	⊥	PROPN
ejpam-797	842	2	⊥	⊥	PROPN
ejpam-797	842	3	⊥	⊥	X
ejpam-797	842	4	⊥	⊥	NOUN
ejpam-797	842	5	=	=	PUNCT
ejpam-797	843	1	′	′	NUM
ejpam-797	844	1	′	′	NUM
ejpam-797	844	2	′	′	NUM
ejpam-797	845	1	′	′	NUM
ejpam-797	845	2	′	′	NUM
ejpam-797	846	1	′−	′−	NOUN
ejpam-797	846	2	′	′	NUM
ejpam-797	846	3	.	.	PUNCT
ejpam-797	847	1	(	(	PUNCT
ejpam-797	847	2	93	93	NUM
ejpam-797	847	3	)	)	PUNCT
ejpam-797	847	4	the	the	DET
ejpam-797	847	5	maximized	maximized	ADJ
ejpam-797	847	6	likelihood	likelihood	NOUN
ejpam-797	847	7	function	function	NOUN
ejpam-797	847	8	is	be	AUX
ejpam-797	847	9	the	the	DET
ejpam-797	847	10	product	product	NOUN
ejpam-797	847	11	between	between	ADP
ejpam-797	847	12	the	the	DET
ejpam-797	847	13	maximized	maximized	ADJ
ejpam-797	847	14	conditional	conditional	ADJ
ejpam-797	847	15	factor	factor	NOUN
ejpam-797	847	16	and	and	CCONJ
ejpam-797	847	17	maximized	maximize	VERB
ejpam-797	847	18	marginal	marginal	ADJ
ejpam-797	847	19	factor	factor	NOUN
ejpam-797	847	20	,	,	PUNCT
ejpam-797	847	21	for	for	ADP
ejpam-797	847	22	which	which	PRON
ejpam-797	847	23	the	the	DET
ejpam-797	847	24	only	only	ADJ
ejpam-797	847	25	unknown	unknown	ADJ
ejpam-797	847	26	parameters	parameter	NOUN
ejpam-797	847	27	are	be	AUX
ejpam-797	847	28	contained	contain	VERB
ejpam-797	847	29	in	in	ADP
ejpam-797	847	30	φ	φ	NUM
ejpam-797	847	31	;	;	PUNCT
ejpam-797	847	32	one	one	NUM
ejpam-797	847	33	then	then	ADV
ejpam-797	847	34	has	have	AUX
ejpam-797	847	35	(	(	PUNCT
ejpam-797	847	36	and	and	CCONJ
ejpam-797	847	37	noting	note	VERB
ejpam-797	847	38	that	that	SCONJ
ejpam-797	847	39	(	(	PUNCT
ejpam-797	847	40	)	)	PUNCT
ejpam-797	847	41	1a	1a	PROPN
ejpam-797	847	42	a	a	DET
ejpam-797	847	43	a	a	DET
ejpam-797	847	44	a	a	DET
ejpam-797	847	45	−′≡	−′≡	NOUN
ejpam-797	847	46	implies	imply	VERB
ejpam-797	847	47	a	a	DET
ejpam-797	847	48	a	a	DET
ejpam-797	847	49	a	a	DET
ejpam-797	847	50	a′	a′	PROPN
ejpam-797	847	51	′=	′=	PROPN
ejpam-797	847	52	)	)	PUNCT
ejpam-797	847	53	(	(	PUNCT
ejpam-797	847	54	)	)	PUNCT
ejpam-797	847	55	(	(	PUNCT
ejpam-797	847	56	)	)	PUNCT
ejpam-797	847	57	2	2	NUM
ejpam-797	847	58	max	max	NOUN
ejpam-797	847	59	00	00	NUM
ejpam-797	847	60	1	1	NUM
ejpam-797	847	61	00	00	NUM
ejpam-797	847	62	.	.	PUNCT
ejpam-797	847	63	.	.	PUNCT
ejpam-797	848	1	01	01	NUM
ejpam-797	848	2	.	.	PUNCT
ejpam-797	848	3	.	.	PUNCT
ejpam-797	849	1	11	11	NUM
ejpam-797	849	2	.	.	PUNCT
ejpam-797	849	3	.	.	PUNCT
ejpam-797	850	1	10	10	NUM
ejpam-797	850	2	.	.	PUNCT
ejpam-797	850	3	.	.	PUNCT
ejpam-797	851	1	...	...	PUNCT
ejpam-797	852	1	t	t	VERB
ejpam-797	852	2	a	a	DET
ejpam-797	852	3	h	h	NOUN
ejpam-797	852	4	a	a	DET
ejpam-797	852	5	h	h	NOUN
ejpam-797	852	6	a	a	DET
ejpam-797	852	7	h	h	NOUN
ejpam-797	852	8	a	a	DET
ejpam-797	852	9	h	h	NOUN
ejpam-797	852	10	l	l	NOUN
ejpam-797	852	11	a	a	PRON
ejpam-797	852	12	s	s	X
ejpam-797	852	13	a	a	DET
ejpam-797	852	14	a	a	DET
ejpam-797	852	15	a	a	DET
ejpam-797	852	16	a	a	DET
ejpam-797	852	17	a	a	DET
ejpam-797	852	18	a	a	DET
ejpam-797	852	19	s	s	NOUN
ejpam-797	853	1	a	a	DET
ejpam-797	853	2	a	a	DET
ejpam-797	853	3	s	s	NOUN
ejpam-797	853	4	h	h	NOUN
ejpam-797	853	5	h	h	NOUN
ejpam-797	853	6	s	s	NOUN
ejpam-797	853	7	h	h	NOUN
ejpam-797	854	1	h	h	NOUN
ejpam-797	854	2	s	s	PROPN
ejpam-797	854	3	a	a	DET
ejpam-797	854	4	φ	φ	PROPN
ejpam-797	854	5	φ	φ	PROPN
ejpam-797	854	6	φ	φ	PROPN
ejpam-797	854	7	φ	φ	PROPN
ejpam-797	854	8	φ	φ	PROPN
ejpam-797	854	9	⊥	⊥	PROPN
ejpam-797	855	1	⊥	⊥	PROPN
ejpam-797	855	2	⊥	⊥	PROPN
ejpam-797	855	3	⊥	⊥	NOUN
ejpam-797	855	4	−	−	PROPN
ejpam-797	855	5	⊥	⊥	PROPN
ejpam-797	855	6	⊥	⊥	PROPN
ejpam-797	855	7	⊥	⊥	PROPN
ejpam-797	855	8	⊥	⊥	NOUN
ejpam-797	855	9	−	−	PROPN
ejpam-797	855	10	⊥	⊥	PROPN
ejpam-797	855	11	⊥	⊥	PROPN
ejpam-797	855	12	⊥	⊥	X
ejpam-797	855	13	⊥	⊥	NOUN
ejpam-797	855	14	=	=	PUNCT
ejpam-797	856	1	′	′	NUM
ejpam-797	856	2	×	×	NOUN
ejpam-797	856	3	′	′	NUM
ejpam-797	857	1	′	′	NUM
ejpam-797	858	1	′	′	NUM
ejpam-797	859	1	′	′	NUM
ejpam-797	860	1	′	′	NUM
ejpam-797	861	1	′	′	NUM
ejpam-797	862	1	′	′	NUM
ejpam-797	862	2	′−	′−	PROPN
ejpam-797	862	3	.	.	PUNCT
ejpam-797	863	1	(	(	PUNCT
ejpam-797	863	2	94	94	NUM
ejpam-797	863	3	)	)	PUNCT
ejpam-797	863	4	from	from	ADP
ejpam-797	863	5	the	the	DET
ejpam-797	863	6	matrix	matrix	NOUN
ejpam-797	863	7	relationship	relationship	NOUN
ejpam-797	863	8	for	for	ADP
ejpam-797	863	9	nonsingular	nonsingular	ADJ
ejpam-797	863	10	a	a	PRON
ejpam-797	863	11	and	and	CCONJ
ejpam-797	863	12	b	b	NOUN
ejpam-797	863	13	,	,	PUNCT
ejpam-797	863	14	1	1	NUM
ejpam-797	863	15	1a	1a	NOUN
ejpam-797	863	16	c	c	PROPN
ejpam-797	863	17	a	a	DET
ejpam-797	863	18	b	b	X
ejpam-797	863	19	c	c	NOUN
ejpam-797	863	20	a	a	DET
ejpam-797	863	21	c	c	PROPN
ejpam-797	863	22	b	b	PROPN
ejpam-797	863	23	a	a	PRON
ejpam-797	863	24	cb	cb	X
ejpam-797	863	25	c	c	PROPN
ejpam-797	863	26	c	c	PROPN
ejpam-797	863	27	b	b	PROPN
ejpam-797	863	28	−	−	PROPN
ejpam-797	863	29	−′	−′	PROPN
ejpam-797	863	30	′=	′=	PROPN
ejpam-797	863	31	−	−	PROPN
ejpam-797	863	32	=	=	PUNCT
ejpam-797	864	1	−	−	PROPN
ejpam-797	864	2	′	′	NUM
ejpam-797	864	3	(	(	PUNCT
ejpam-797	864	4	95	95	NUM
ejpam-797	864	5	)	)	PUNCT
ejpam-797	864	6	references	reference	NOUN
ejpam-797	864	7	563	563	NUM
ejpam-797	864	8	it	it	PRON
ejpam-797	864	9	follows	follow	VERB
ejpam-797	864	10	that	that	SCONJ
ejpam-797	864	11	1	1	NUM
ejpam-797	864	12	1b	1b	NUM
ejpam-797	865	1	b	b	NOUN
ejpam-797	865	2	c	c	NOUN
ejpam-797	865	3	a	a	PRON
ejpam-797	865	4	c	c	NOUN
ejpam-797	865	5	a	a	DET
ejpam-797	865	6	cb	cb	PROPN
ejpam-797	865	7	c	c	PROPN
ejpam-797	865	8	a	a	DET
ejpam-797	865	9	−	−	PROPN
ejpam-797	865	10	−′	−′	PROPN
ejpam-797	865	11	′−	′−	NOUN
ejpam-797	865	12	=	=	SYM
ejpam-797	865	13	−	−	PROPN
ejpam-797	865	14	,	,	PUNCT
ejpam-797	865	15	and	and	CCONJ
ejpam-797	865	16	thus	thus	ADV
ejpam-797	865	17	one	one	NUM
ejpam-797	865	18	can	can	AUX
ejpam-797	865	19	rewrite	rewrite	VERB
ejpam-797	865	20	(	(	PUNCT
ejpam-797	865	21	94	94	NUM
ejpam-797	865	22	)	)	PUNCT
ejpam-797	865	23	as	as	ADP
ejpam-797	865	24	(	(	PUNCT
ejpam-797	865	25	)	)	PUNCT
ejpam-797	865	26	(	(	PUNCT
ejpam-797	865	27	)	)	PUNCT
ejpam-797	865	28	00	00	PUNCT
ejpam-797	865	29	00	00	PUNCT
ejpam-797	865	30	.	.	PUNCT
ejpam-797	866	1	.2	.2	NUM
ejpam-797	866	2	max	max	PROPN
ejpam-797	866	3	1	1	NUM
ejpam-797	866	4	11	11	NUM
ejpam-797	866	5	.	.	PUNCT
ejpam-797	866	6	.	.	PUNCT
ejpam-797	867	1	10	10	NUM
ejpam-797	867	2	.	.	PUNCT
ejpam-797	867	3	.	.	PUNCT
ejpam-797	867	4	00	00	PUNCT
ejpam-797	867	5	.	.	PUNCT
ejpam-797	867	6	.	.	PUNCT
ejpam-797	868	1	01	01	NUM
ejpam-797	868	2	.	.	PUNCT
ejpam-797	868	3	.	.	PUNCT
ejpam-797	869	1	11	11	NUM
ejpam-797	869	2	.	.	PUNCT
ejpam-797	869	3	.	.	PUNCT
ejpam-797	870	1	...	...	PUNCT
ejpam-797	871	1	a	a	DET
ejpam-797	871	2	ht	ht	INTJ
ejpam-797	871	3	a	a	DET
ejpam-797	871	4	h	h	NOUN
ejpam-797	871	5	a	a	DET
ejpam-797	871	6	h	h	NOUN
ejpam-797	871	7	a	a	DET
ejpam-797	871	8	h	h	NOUN
ejpam-797	871	9	a	a	DET
ejpam-797	871	10	h	h	NOUN
ejpam-797	871	11	a	a	DET
ejpam-797	871	12	h	h	NOUN
ejpam-797	872	1	a	a	DET
ejpam-797	872	2	s	s	NOUN
ejpam-797	872	3	a	a	DET
ejpam-797	872	4	a	a	DET
ejpam-797	872	5	s	s	NOUN
ejpam-797	872	6	a	a	DET
ejpam-797	872	7	l	l	NOUN
ejpam-797	872	8	a	a	DET
ejpam-797	872	9	a	a	DET
ejpam-797	872	10	a	a	DET
ejpam-797	872	11	a	a	DET
ejpam-797	872	12	h	h	NOUN
ejpam-797	872	13	s	s	NOUN
ejpam-797	873	1	h	h	NOUN
ejpam-797	874	1	h	h	NOUN
ejpam-797	874	2	s	s	VERB
ejpam-797	874	3	a	a	PRON
ejpam-797	874	4	a	a	DET
ejpam-797	874	5	s	s	NOUN
ejpam-797	875	1	a	a	DET
ejpam-797	875	2	a	a	DET
ejpam-797	875	3	s	s	NOUN
ejpam-797	875	4	h	h	NOUN
ejpam-797	875	5	h	h	NOUN
ejpam-797	875	6	s	s	PROPN
ejpam-797	875	7	h	h	PROPN
ejpam-797	875	8	φ	φ	PROPN
ejpam-797	875	9	φ	φ	PROPN
ejpam-797	875	10	φ	φ	PROPN
ejpam-797	875	11	φ	φ	PROPN
ejpam-797	875	12	φ	φ	PROPN
ejpam-797	875	13	φ	φ	PROPN
ejpam-797	875	14	φ	φ	PROPN
ejpam-797	875	15	⊥	⊥	PROPN
ejpam-797	875	16	⊥	⊥	PROPN
ejpam-797	875	17	⊥	⊥	PROPN
ejpam-797	875	18	⊥	⊥	PROPN
ejpam-797	875	19	⊥	⊥	PROPN
ejpam-797	875	20	⊥	⊥	PROPN
ejpam-797	875	21	⊥	⊥	X
ejpam-797	875	22	⊥−	⊥−	NOUN
ejpam-797	876	1	⊥	⊥	X
ejpam-797	876	2	⊥	⊥	NOUN
ejpam-797	876	3	−	−	PROPN
ejpam-797	876	4	⊥	⊥	PROPN
ejpam-797	876	5	⊥	⊥	PROPN
ejpam-797	876	6	⊥	⊥	PROPN
ejpam-797	876	7	⊥	⊥	PROPN
ejpam-797	876	8	⊥	⊥	X
ejpam-797	876	9	⊥	⊥	NUM
ejpam-797	876	10	′	′	NUM
ejpam-797	876	11	′	′	NUM
ejpam-797	877	1	=	=	SYM
ejpam-797	877	2	×	×	NOUN
ejpam-797	878	1	′	′	NOUN
ejpam-797	878	2	′	′	NUM
ejpam-797	879	1	′	′	NUM
ejpam-797	880	1	′	′	NUM
ejpam-797	881	1	′	′	NUM
ejpam-797	882	1	′	′	NUM
ejpam-797	882	2	′	′	NUM
ejpam-797	883	1	′−	′−	NOUN
ejpam-797	883	2	′	′	NOUN
ejpam-797	884	1	′	′	NUM
ejpam-797	884	2	.	.	PUNCT
ejpam-797	885	1	(	(	PUNCT
ejpam-797	885	2	96	96	NUM
ejpam-797	885	3	)	)	PUNCT
ejpam-797	885	4	the	the	DET
ejpam-797	885	5	variance	variance	NOUN
ejpam-797	885	6	-	-	PUNCT
ejpam-797	885	7	covariance	covariance	NOUN
ejpam-797	885	8	matrix	matrix	NOUN
ejpam-797	885	9	is	be	AUX
ejpam-797	885	10	then	then	ADV
ejpam-797	885	11	estimated	estimate	VERB
ejpam-797	885	12	by	by	ADP
ejpam-797	885	13	ˆ	ˆ	NOUN
ejpam-797	885	14	ˆ	ˆ	NOUN
ejpam-797	885	15	ˆ	ˆ	NOUN
ejpam-797	885	16	ˆ	ˆ	NOUN
ejpam-797	885	17	ˆ	ˆ	ADV
ejpam-797	885	18	aa	aa	ADV
ejpam-797	885	19	aa	aa	INTJ
ejpam-797	885	20	a	a	DET
ejpam-797	885	21	a	a	DET
ejpam-797	885	22	a	a	DET
ejpam-797	885	23	a	a	DET
ejpam-797	885	24	a	a	DET
ejpam-797	885	25	a	a	DET
ejpam-797	885	26	a	a	DET
ejpam-797	885	27	a⊥	a⊥	NOUN
ejpam-797	885	28	⊥	⊥	NOUN
ejpam-797	885	29	⊥	⊥	NOUN
ejpam-797	885	30	⊥	⊥	PROPN
ejpam-797	885	31	⊥	⊥	X
ejpam-797	885	32	⊥	⊥	PROPN
ejpam-797	885	33			PROPN
ejpam-797	885	34	ω	ω	PROPN
ejpam-797	885	35	ω	ω	PROPN
ejpam-797	885	36	′	′	NUM
ejpam-797	885	37			ADJ
ejpam-797	885	38			NOUN
ejpam-797	886	1			PROPN
ejpam-797	886	2			NOUN
ejpam-797	886	3	ω	ω	PROPN
ejpam-797	886	4	=	=	PUNCT
ejpam-797	886	5			NUM
ejpam-797	886	6			NOUN
ejpam-797	886	7			NOUN
ejpam-797	886	8			NOUN
ejpam-797	886	9	ω	ω	VERB
ejpam-797	886	10	ω	ω	ADV
ejpam-797	886	11			PROPN
ejpam-797	886	12	,	,	PUNCT
ejpam-797	886	13	where	where	SCONJ
ejpam-797	886	14	the	the	DET
ejpam-797	886	15	estimators	estimator	NOUN
ejpam-797	886	16	of	of	ADP
ejpam-797	886	17	a	a	DET
ejpam-797	886	18	a⊥	a⊥	NOUN
ejpam-797	886	19	⊥	⊥	PROPN
ejpam-797	886	20	ω	ω	PROPN
ejpam-797	886	21	,	,	PUNCT
ejpam-797	886	22	1	1	NUM
ejpam-797	886	23	aa	aa	NOUN
ejpam-797	886	24	a	a	DET
ejpam-797	886	25	aω	aω	NOUN
ejpam-797	886	26	⊥	⊥	PROPN
ejpam-797	886	27	⊥	⊥	X
ejpam-797	886	28	⊥	⊥	PROPN
ejpam-797	886	29	−=	−=	PROPN
ejpam-797	886	30	ω	ω	PROPN
ejpam-797	886	31	ω	ω	NOUN
ejpam-797	886	32	,	,	PUNCT
ejpam-797	886	33	and	and	CCONJ
ejpam-797	886	34	1	1	X
ejpam-797	886	35	.aa	.aa	PUNCT
ejpam-797	887	1	a	a	DET
ejpam-797	887	2	aa	aa	NOUN
ejpam-797	887	3	aa	aa	PROPN
ejpam-797	887	4	a	a	DET
ejpam-797	887	5	a	a	DET
ejpam-797	887	6	a	a	DET
ejpam-797	887	7	a⊥	a⊥	NOUN
ejpam-797	887	8	⊥	⊥	X
ejpam-797	887	9	⊥	⊥	NUM
ejpam-797	887	10	⊥	⊥	X
ejpam-797	887	11	⊥	⊥	NOUN
ejpam-797	887	12	−ω	−ω	NOUN
ejpam-797	887	13	=	=	SYM
ejpam-797	887	14	ω	ω	PROPN
ejpam-797	887	15	−	−	PROPN
ejpam-797	887	16	ω	ω	PROPN
ejpam-797	887	17	ω	ω	PROPN
ejpam-797	887	18	ω	ω	NOUN
ejpam-797	887	19	are	be	AUX
ejpam-797	887	20	used	use	VERB
ejpam-797	887	21	to	to	PART
ejpam-797	887	22	recover	recover	VERB
ejpam-797	887	23	ˆ	ˆ	ADJ
ejpam-797	887	24	a	a	DET
ejpam-797	887	25	a⊥	a⊥	NOUN
ejpam-797	887	26	⊥	⊥	PROPN
ejpam-797	887	27	ω	ω	PROPN
ejpam-797	887	28	,	,	PUNCT
ejpam-797	887	29	ˆ	ˆ	PRON
ejpam-797	887	30	ˆˆaa	ˆˆaa	PROPN
ejpam-797	888	1	a	a	DET
ejpam-797	888	2	aω	aω	NOUN
ejpam-797	888	3	⊥	⊥	PROPN
ejpam-797	888	4	⊥	⊥	PROPN
ejpam-797	888	5	⊥	⊥	PROPN
ejpam-797	888	6	ω	ω	PROPN
ejpam-797	888	7	=	=	SYM
ejpam-797	888	8	ω	ω	PROPN
ejpam-797	888	9	,	,	PUNCT
ejpam-797	888	10	ˆ	ˆ	DET
ejpam-797	888	11	ˆ	ˆ	ADV
ejpam-797	888	12	a	a	DET
ejpam-797	888	13	a	a	DET
ejpam-797	888	14	aa⊥	aa⊥	PROPN
ejpam-797	888	15	⊥	⊥	PROPN
ejpam-797	888	16	′ω	′ω	NOUN
ejpam-797	888	17	=	=	SYM
ejpam-797	888	18	ω	ω	PROPN
ejpam-797	888	19	,	,	PUNCT
ejpam-797	888	20	and	and	CCONJ
ejpam-797	888	21	.	.	PUNCT
ejpam-797	889	1	ˆ	ˆ	NOUN
ejpam-797	889	2	ˆ	ˆ	ADV
ejpam-797	889	3	ˆˆaa	ˆˆaa	PROPN
ejpam-797	889	4	aa	aa	PROPN
ejpam-797	889	5	a	a	PRON
ejpam-797	889	6	a	a	DET
ejpam-797	889	7	aω	aω	NOUN
ejpam-797	889	8	⊥	⊥	PROPN
ejpam-797	889	9	⊥	⊥	PROPN
ejpam-797	889	10	ω	ω	PUNCT
ejpam-797	889	11	=	=	SYM
ejpam-797	889	12	ω	ω	PROPN
ejpam-797	889	13	+	+	PROPN
ejpam-797	889	14	ω	ω	NUM
ejpam-797	889	15	.	.	PUNCT
ejpam-797	890	1	maximizing	maximize	VERB
ejpam-797	890	2	the	the	DET
ejpam-797	890	3	likelihood	likelihood	NOUN
ejpam-797	890	4	function	function	NOUN
ejpam-797	890	5	is	be	AUX
ejpam-797	890	6	equivalent	equivalent	ADJ
ejpam-797	890	7	to	to	ADP
ejpam-797	890	8	minimizing	minimize	VERB
ejpam-797	890	9	the	the	DET
ejpam-797	890	10	last	last	ADJ
ejpam-797	890	11	factor	factor	NOUN
ejpam-797	890	12	of	of	ADP
ejpam-797	890	13	(	(	PUNCT
ejpam-797	890	14	96	96	NUM
ejpam-797	890	15	)	)	PUNCT
ejpam-797	890	16	with	with	ADP
ejpam-797	890	17	respect	respect	NOUN
ejpam-797	890	18	to	to	ADP
ejpam-797	890	19	φ	φ	NUM
ejpam-797	890	20	.	.	PUNCT
ejpam-797	891	1	following	follow	VERB
ejpam-797	891	2	from	from	ADP
ejpam-797	891	3	johansen	johansen	PROPN
ejpam-797	891	4	and	and	CCONJ
ejpam-797	891	5	juselius	juselius	NOUN
ejpam-797	891	6	[	[	X
ejpam-797	891	7	25	25	NUM
ejpam-797	891	8	]	]	X
ejpam-797	891	9	,	,	PUNCT
ejpam-797	891	10	here	here	ADV
ejpam-797	891	11	,	,	PUNCT
ejpam-797	891	12	one	one	NUM
ejpam-797	891	13	solves	solve	VERB
ejpam-797	891	14	the	the	DET
ejpam-797	891	15	eigenvalue	eigenvalue	PROPN
ejpam-797	891	16	problem	problem	NOUN
ejpam-797	891	17	(	(	PUNCT
ejpam-797	891	18	)	)	PUNCT
ejpam-797	891	19	1	1	NUM
ejpam-797	891	20	11	11	NUM
ejpam-797	891	21	.	.	PUNCT
ejpam-797	891	22	.	.	PUNCT
ejpam-797	892	1	10	10	NUM
ejpam-797	892	2	.	.	PUNCT
ejpam-797	892	3	.	.	PUNCT
ejpam-797	892	4	00	00	PUNCT
ejpam-797	892	5	.	.	PUNCT
ejpam-797	892	6	.	.	PUNCT
ejpam-797	893	1	01	01	NUM
ejpam-797	893	2	.	.	PUNCT
ejpam-797	893	3	.	.	PUNCT
ejpam-797	894	1	0a	0a	PROPN
ejpam-797	894	2	h	h	NOUN
ejpam-797	895	1	a	a	DET
ejpam-797	895	2	h	h	NOUN
ejpam-797	896	1	a	a	DET
ejpam-797	896	2	h	h	NOUN
ejpam-797	896	3	a	a	DET
ejpam-797	896	4	hh	hh	PROPN
ejpam-797	896	5	s	s	NOUN
ejpam-797	896	6	h	h	NOUN
ejpam-797	896	7	h	h	NOUN
ejpam-797	896	8	s	s	VERB
ejpam-797	896	9	a	a	PRON
ejpam-797	896	10	a	a	DET
ejpam-797	896	11	s	s	NOUN
ejpam-797	896	12	a	a	DET
ejpam-797	896	13	a	a	DET
ejpam-797	896	14	s	s	NOUN
ejpam-797	896	15	hλ	hλ	NOUN
ejpam-797	897	1	⊥	⊥	PROPN
ejpam-797	897	2	⊥	⊥	PROPN
ejpam-797	897	3	⊥	⊥	PROPN
ejpam-797	897	4	⊥	⊥	NOUN
ejpam-797	897	5	−	−	PROPN
ejpam-797	897	6	⊥	⊥	PROPN
ejpam-797	897	7	⊥	⊥	PROPN
ejpam-797	897	8	⊥	⊥	X
ejpam-797	897	9	⊥′	⊥′	PROPN
ejpam-797	897	10	′	′	NUM
ejpam-797	897	11	′	′	NUM
ejpam-797	897	12	′−	′−	PROPN
ejpam-797	897	13	=	=	PUNCT
ejpam-797	897	14	(	(	PUNCT
ejpam-797	897	15	97	97	NUM
ejpam-797	897	16	)	)	PUNCT
ejpam-797	897	17	for	for	ADP
ejpam-797	897	18	eigenvalues	eigenvalue	NOUN
ejpam-797	897	19	11	11	NUM
ejpam-797	897	20	0p	0p	NUM
ejpam-797	897	21	sλ	sλ	NOUN
ejpam-797	897	22	λ	λ	PROPN
ejpam-797	897	23	−≥	−≥	PROPN
ejpam-797	897	24	≥	≥	PROPN
ejpam-797	897	25	≥	≥	NOUN
ejpam-797	897	26	≥	≥	PROPN
ejpam-797	897	27			NOUN
ejpam-797	897	28			NOUN
ejpam-797	897	29	and	and	CCONJ
ejpam-797	897	30	eigenvectors	eigenvector	NOUN
ejpam-797	897	31	(	(	PUNCT
ejpam-797	897	32	)	)	PUNCT
ejpam-797	897	33	1	1	NUM
ejpam-797	897	34	,	,	PUNCT
ejpam-797	897	35	,	,	PUNCT
ejpam-797	897	36	p	p	NOUN
ejpam-797	897	37	sv	sv	PROPN
ejpam-797	897	38	v	v	ADP
ejpam-797	897	39	v	v	NUM
ejpam-797	897	40	−=	−=	DET
ejpam-797	897	41			NOUN
ejpam-797	897	42			NOUN
ejpam-797	897	43			PRON
ejpam-797	897	44	normalized	normalize	VERB
ejpam-797	897	45	so	so	SCONJ
ejpam-797	897	46	that	that	SCONJ
ejpam-797	897	47	11	11	NUM
ejpam-797	897	48	.	.	PUNCT
ejpam-797	898	1	.a	.a	PROPN
ejpam-797	899	1	h	h	NOUN
ejpam-797	900	1	p	p	NOUN
ejpam-797	900	2	sv	sv	INTJ
ejpam-797	900	3	h	h	PROPN
ejpam-797	900	4	s	s	PROPN
ejpam-797	900	5	h	h	NOUN
ejpam-797	901	1	v	v	NOUN
ejpam-797	901	2	i	i	PRON
ejpam-797	901	3	⊥⊥	⊥⊥	PROPN
ejpam-797	901	4	⊥	⊥	NOUN
ejpam-797	902	1	−′	−′	PROPN
ejpam-797	902	2	′	′	NUM
ejpam-797	902	3	=	=	ADJ
ejpam-797	902	4			X
ejpam-797	902	5			NOUN
ejpam-797	902	6	.	.	PUNCT
ejpam-797	903	1	then	then	ADV
ejpam-797	903	2	(	(	PUNCT
ejpam-797	903	3	)	)	SYM
ejpam-797	903	4	1	1	NUM
ejpam-797	903	5	ˆ	ˆ	NOUN
ejpam-797	903	6	,	,	PUNCT
ejpam-797	903	7	,	,	PUNCT
ejpam-797	903	8	r	r	NOUN
ejpam-797	903	9	sv	sv	VERB
ejpam-797	903	10	vφ	vφ	PROPN
ejpam-797	903	11	−=	−=	X
ejpam-797	903	12			X
ejpam-797	903	13			PROPN
ejpam-797	903	14			PROPN
ejpam-797	903	15	,	,	PUNCT
ejpam-797	903	16	from	from	ADP
ejpam-797	903	17	which	which	PRON
ejpam-797	903	18	one	one	NOUN
ejpam-797	903	19	then	then	ADV
ejpam-797	903	20	can	can	AUX
ejpam-797	903	21	recover	recover	VERB
ejpam-797	903	22	the	the	DET
ejpam-797	903	23	parameters	parameter	NOUN
ejpam-797	903	24	(	(	PUNCT
ejpam-797	903	25	29	29	NUM
ejpam-797	903	26	)	)	PUNCT
ejpam-797	903	27	to	to	ADP
ejpam-797	903	28	(	(	PUNCT
ejpam-797	903	29	32	32	NUM
ejpam-797	903	30	)	)	PUNCT
ejpam-797	903	31	,	,	PUNCT
ejpam-797	903	32	and	and	CCONJ
ejpam-797	903	33	the	the	DET
ejpam-797	903	34	maximized	maximized	ADJ
ejpam-797	903	35	likelihood	likelihood	NOUN
ejpam-797	903	36	function	function	NOUN
ejpam-797	903	37	,	,	PUNCT
ejpam-797	903	38	apart	apart	ADV
ejpam-797	903	39	from	from	ADP
ejpam-797	903	40	a	a	DET
ejpam-797	903	41	constant	constant	ADJ
ejpam-797	903	42	,	,	PUNCT
ejpam-797	903	43	is	be	AUX
ejpam-797	903	44	(	(	PUNCT
ejpam-797	903	45	)	)	PUNCT
ejpam-797	903	46	00	00	PUNCT
ejpam-797	903	47	00	00	PUNCT
ejpam-797	903	48	.	.	PUNCT
ejpam-797	904	1	.2	.2	NUM
ejpam-797	904	2	max	max	PROPN
ejpam-797	904	3	1	1	NUM
ejpam-797	904	4	1	1	NUM
ejpam-797	904	5	r	r	NOUN
ejpam-797	904	6	s	s	PROPN
ejpam-797	904	7	a	a	PRON
ejpam-797	904	8	ht	ht	INTJ
ejpam-797	905	1	i	i	PRON
ejpam-797	905	2	i	i	PRON
ejpam-797	905	3	a	a	PRON
ejpam-797	905	4	s	s	X
ejpam-797	905	5	a	a	DET
ejpam-797	905	6	a	a	DET
ejpam-797	905	7	s	s	NOUN
ejpam-797	905	8	a	a	DET
ejpam-797	905	9	l	l	NOUN
ejpam-797	905	10	a	a	PRON
ejpam-797	905	11	a	a	DET
ejpam-797	905	12	a	a	DET
ejpam-797	905	13	a	a	DET
ejpam-797	905	14	λ⊥	λ⊥	NOUN
ejpam-797	905	15	−	−	NOUN
ejpam-797	905	16	⊥	⊥	NOUN
ejpam-797	905	17	⊥−	⊥−	NOUN
ejpam-797	906	1	=	=	SYM
ejpam-797	906	2	⊥	⊥	PROPN
ejpam-797	906	3	⊥	⊥	NUM
ejpam-797	906	4	′	′	NUM
ejpam-797	906	5	′	′	NUM
ejpam-797	907	1	=	=	PUNCT
ejpam-797	908	1	−	−	PROPN
ejpam-797	909	1	′	′	NUM
ejpam-797	909	2	′	′	NUM
ejpam-797	909	3	∏	∏	NUM
ejpam-797	909	4			NOUN
ejpam-797	909	5	.	.	PUNCT
ejpam-797	910	1	(	(	PUNCT
ejpam-797	910	2	98	98	X
ejpam-797	910	3	)	)	PUNCT
ejpam-797	910	4	rewriting	rewriting	NOUN
ejpam-797	910	5	(	(	PUNCT
ejpam-797	910	6	)	)	PUNCT
ejpam-797	910	7	(	(	PUNCT
ejpam-797	910	8	)	)	PUNCT
ejpam-797	910	9	1	1	NUM
ejpam-797	910	10	00	00	NUM
ejpam-797	910	11	.	.	PUNCT
ejpam-797	910	12	.	.	PUNCT
ejpam-797	911	1	00	00	PUNCT
ejpam-797	911	2	.	.	PUNCT
ejpam-797	912	1	01	01	NUM
ejpam-797	912	2	.	.	NOUN
ejpam-797	912	3	11	11	NUM
ejpam-797	912	4	.	.	X
ejpam-797	913	1	10	10	NUM
ejpam-797	913	2	.	.	NOUN
ejpam-797	913	3	1	1	NUM
ejpam-797	913	4	00	00	NUM
ejpam-797	913	5	.	.	PUNCT
ejpam-797	914	1	11	11	NUM
ejpam-797	914	2	.	.	X
ejpam-797	915	1	10	10	NUM
ejpam-797	915	2	.	.	PUNCT
ejpam-797	915	3	00	00	PUNCT
ejpam-797	915	4	.	.	PUNCT
ejpam-797	916	1	01	01	NUM
ejpam-797	916	2	.	.	PROPN
ejpam-797	917	1	11	11	NUM
ejpam-797	917	2	.	.	PUNCT
ejpam-797	918	1	a	a	DET
ejpam-797	918	2	h	h	NOUN
ejpam-797	918	3	a	a	DET
ejpam-797	918	4	a	a	DET
ejpam-797	918	5	a	a	DET
ejpam-797	918	6	a	a	DET
ejpam-797	918	7	a	a	DET
ejpam-797	918	8	a	a	DET
ejpam-797	918	9	a	a	DET
ejpam-797	918	10	a	a	DET
ejpam-797	918	11	a	a	DET
ejpam-797	918	12	a	a	DET
ejpam-797	918	13	a	a	DET
ejpam-797	918	14	s	s	NOUN
ejpam-797	918	15	a	a	DET
ejpam-797	918	16	a	a	DET
ejpam-797	918	17	s	s	NOUN
ejpam-797	918	18	a	a	DET
ejpam-797	918	19	a	a	DET
ejpam-797	918	20	s	s	NOUN
ejpam-797	918	21	h	h	NOUN
ejpam-797	918	22	h	h	NOUN
ejpam-797	918	23	s	s	NOUN
ejpam-797	919	1	h	h	NOUN
ejpam-797	919	2	h	h	NOUN
ejpam-797	919	3	s	s	VERB
ejpam-797	919	4	a	a	PRON
ejpam-797	919	5	a	a	DET
ejpam-797	919	6	s	s	NOUN
ejpam-797	919	7	a	a	DET
ejpam-797	919	8	h	h	NOUN
ejpam-797	920	1	s	s	NOUN
ejpam-797	921	1	h	h	NOUN
ejpam-797	922	1	h	h	NOUN
ejpam-797	922	2	s	s	VERB
ejpam-797	922	3	a	a	PRON
ejpam-797	922	4	a	a	DET
ejpam-797	922	5	s	s	NOUN
ejpam-797	923	1	a	a	DET
ejpam-797	923	2	a	a	DET
ejpam-797	923	3	s	s	NOUN
ejpam-797	923	4	h	h	NOUN
ejpam-797	923	5	h	h	NOUN
ejpam-797	923	6	s	s	NOUN
ejpam-797	923	7	h	h	NOUN
ejpam-797	924	1	⊥	⊥	X
ejpam-797	924	2	⊥	⊥	PROPN
ejpam-797	924	3	⊥	⊥	PROPN
ejpam-797	924	4	⊥	⊥	PROPN
ejpam-797	924	5	⊥	⊥	PROPN
ejpam-797	924	6	⊥	⊥	PROPN
ejpam-797	924	7	⊥	⊥	PROPN
ejpam-797	924	8	⊥	⊥	PROPN
ejpam-797	924	9	⊥	⊥	PROPN
ejpam-797	924	10	⊥	⊥	PROPN
ejpam-797	924	11	⊥	⊥	NOUN
ejpam-797	924	12	−	−	PROPN
ejpam-797	924	13	−	−	NOUN
ejpam-797	925	1	′	′	NUM
ejpam-797	925	2	′	′	NUM
ejpam-797	926	1	′	′	NUM
ejpam-797	926	2	′	′	NUM
ejpam-797	927	1	′=	′=	PROPN
ejpam-797	927	2	−	−	PROPN
ejpam-797	928	1	′	′	NUM
ejpam-797	928	2	′	′	NUM
ejpam-797	929	1	′	′	NUM
ejpam-797	930	1	′	′	NUM
ejpam-797	931	1	′−	′−	NOUN
ejpam-797	932	1	=	=	PUNCT
ejpam-797	933	1	′	′	NUM
ejpam-797	933	2	(	(	PUNCT
ejpam-797	933	3	99	99	NUM
ejpam-797	933	4	)	)	PUNCT
ejpam-797	933	5	and	and	CCONJ
ejpam-797	933	6	noting	note	VERB
ejpam-797	933	7	(	(	PUNCT
ejpam-797	933	8	)	)	PUNCT
ejpam-797	933	9	(	(	PUNCT
ejpam-797	933	10	)	)	PUNCT
ejpam-797	934	1	1	1	NUM
ejpam-797	934	2	11	11	NUM
ejpam-797	934	3	.	.	PUNCT
ejpam-797	934	4	10	10	NUM
ejpam-797	934	5	.	.	PUNCT
ejpam-797	934	6	00	00	PUNCT
ejpam-797	934	7	.	.	PUNCT
ejpam-797	935	1	01	01	NUM
ejpam-797	935	2	.	.	NOUN
ejpam-797	935	3	111	111	NUM
ejpam-797	935	4	.	.	X
ejpam-797	935	5	1	1	NUM
ejpam-797	935	6	sa	sa	NOUN
ejpam-797	935	7	a	a	PRON
ejpam-797	935	8	a	a	PRON
ejpam-797	935	9	a	a	DET
ejpam-797	935	10	i	i	PRON
ejpam-797	935	11	ia	ia	PROPN
ejpam-797	936	1	h	h	PROPN
ejpam-797	936	2	s	s	PROPN
ejpam-797	936	3	h	h	NOUN
ejpam-797	936	4	h	h	NOUN
ejpam-797	936	5	s	s	VERB
ejpam-797	936	6	a	a	PRON
ejpam-797	936	7	a	a	DET
ejpam-797	936	8	s	s	NOUN
ejpam-797	937	1	a	a	DET
ejpam-797	937	2	a	a	DET
ejpam-797	937	3	s	s	NOUN
ejpam-797	937	4	h	h	NOUN
ejpam-797	937	5	h	h	NOUN
ejpam-797	938	1	s	s	NOUN
ejpam-797	938	2	h	h	NOUN
ejpam-797	938	3	ρ	ρ	NOUN
ejpam-797	938	4	⊥	⊥	PROPN
ejpam-797	939	1	⊥	⊥	X
ejpam-797	939	2	⊥	⊥	PROPN
ejpam-797	939	3	⊥	⊥	NOUN
ejpam-797	939	4	⊥	⊥	NOUN
ejpam-797	939	5	−	−	PROPN
ejpam-797	939	6	=	=	SYM
ejpam-797	940	1	′	′	NUM
ejpam-797	941	1	′	′	NUM
ejpam-797	942	1	′	′	NUM
ejpam-797	943	1	′−	′−	PROPN
ejpam-797	944	1	=	=	PUNCT
ejpam-797	945	1	−	−	PROPN
ejpam-797	945	2	′	′	NUM
ejpam-797	945	3	∏	∏	NUM
ejpam-797	945	4			NOUN
ejpam-797	945	5	,	,	PUNCT
ejpam-797	945	6	(	(	PUNCT
ejpam-797	945	7	100	100	NUM
ejpam-797	945	8	)	)	PUNCT
ejpam-797	945	9	where	where	SCONJ
ejpam-797	945	10	11	11	NUM
ejpam-797	945	11	0sρ	0sρ	NOUN
ejpam-797	945	12	ρ≥	ρ≥	PROPN
ejpam-797	945	13	≥	≥	NUM
ejpam-797	945	14	≥	≥	NOUN
ejpam-797	945	15	≥	≥	PROPN
ejpam-797	945	16			NOUN
ejpam-797	945	17			PROPN
ejpam-797	945	18	solves	solve	VERB
ejpam-797	945	19	the	the	DET
ejpam-797	945	20	eigenvalue	eigenvalue	PROPN
ejpam-797	945	21	problem	problem	NOUN
ejpam-797	945	22	(	(	PUNCT
ejpam-797	945	23	)	)	PUNCT
ejpam-797	945	24	1	1	NUM
ejpam-797	945	25	11	11	NUM
ejpam-797	945	26	.	.	PUNCT
ejpam-797	945	27	10	10	NUM
ejpam-797	945	28	.	.	PUNCT
ejpam-797	945	29	00	00	PUNCT
ejpam-797	945	30	.	.	PUNCT
ejpam-797	946	1	01	01	NUM
ejpam-797	946	2	.	.	PUNCT
ejpam-797	947	1	0a	0a	VERB
ejpam-797	947	2	a	a	DET
ejpam-797	947	3	a	a	PRON
ejpam-797	947	4	ah	ah	INTJ
ejpam-797	947	5	s	s	NOUN
ejpam-797	947	6	h	h	NOUN
ejpam-797	947	7	h	h	NOUN
ejpam-797	947	8	s	s	VERB
ejpam-797	947	9	a	a	DET
ejpam-797	947	10	a	a	DET
ejpam-797	947	11	s	s	NOUN
ejpam-797	947	12	a	a	DET
ejpam-797	947	13	a	a	DET
ejpam-797	947	14	s	s	NOUN
ejpam-797	947	15	hρ	hρ	NOUN
ejpam-797	947	16	⊥	⊥	PROPN
ejpam-797	948	1	⊥	⊥	PROPN
ejpam-797	948	2	⊥	⊥	X
ejpam-797	948	3	⊥	⊥	NOUN
ejpam-797	948	4	−	−	PROPN
ejpam-797	948	5	′	′	NUM
ejpam-797	949	1	′	′	NUM
ejpam-797	950	1	′	′	NUM
ejpam-797	950	2	′−	′−	PROPN
ejpam-797	950	3	=	=	SYM
ejpam-797	950	4	,	,	PUNCT
ejpam-797	950	5	(	(	PUNCT
ejpam-797	950	6	101	101	NUM
ejpam-797	950	7	)	)	PUNCT
ejpam-797	950	8	yields	yield	NOUN
ejpam-797	950	9	references	reference	NOUN
ejpam-797	950	10	564	564	NUM
ejpam-797	950	11	(	(	PUNCT
ejpam-797	950	12	)	)	PUNCT
ejpam-797	950	13	00	00	PUNCT
ejpam-797	950	14	.	.	PUNCT
ejpam-797	950	15	.	.	PUNCT
ejpam-797	951	1	00	00	PUNCT
ejpam-797	951	2	.	.	PUNCT
ejpam-797	952	1	1	1	NUM
ejpam-797	952	2	1	1	NUM
ejpam-797	952	3	s	s	VERB
ejpam-797	952	4	a	a	DET
ejpam-797	952	5	h	h	NOUN
ejpam-797	953	1	a	a	PRON
ejpam-797	954	1	i	i	PRON
ejpam-797	955	1	i	i	PRON
ejpam-797	956	1	a	a	PRON
ejpam-797	956	2	s	s	X
ejpam-797	956	3	a	a	DET
ejpam-797	956	4	a	a	DET
ejpam-797	956	5	s	s	NOUN
ejpam-797	956	6	a	a	DET
ejpam-797	956	7	ρ	ρ	NOUN
ejpam-797	956	8	⊥	⊥	NOUN
ejpam-797	956	9	⊥	⊥	NOUN
ejpam-797	956	10	=	=	PUNCT
ejpam-797	956	11	′	′	NUM
ejpam-797	956	12	′=	′=	PROPN
ejpam-797	956	13	−∏	−∏	PROPN
ejpam-797	956	14			NOUN
ejpam-797	956	15	(	(	PUNCT
ejpam-797	956	16	102	102	NUM
ejpam-797	956	17	)	)	PUNCT
ejpam-797	956	18	this	this	PRON
ejpam-797	956	19	gives	give	VERB
ejpam-797	956	20	the	the	DET
ejpam-797	956	21	maximized	maximized	ADJ
ejpam-797	956	22	likelihood	likelihood	NOUN
ejpam-797	956	23	function	function	NOUN
ejpam-797	956	24	,	,	PUNCT
ejpam-797	956	25	apart	apart	ADV
ejpam-797	956	26	from	from	ADP
ejpam-797	956	27	a	a	DET
ejpam-797	956	28	constant	constant	ADJ
ejpam-797	956	29	,	,	PUNCT
ejpam-797	956	30	(	(	PUNCT
ejpam-797	956	31	)	)	PUNCT
ejpam-797	956	32	(	(	PUNCT
ejpam-797	956	33	)	)	PUNCT
ejpam-797	956	34	00	00	NUM
ejpam-797	957	1	00.2/	00.2/	NUM
ejpam-797	957	2	max	max	NOUN
ejpam-797	957	3	1	1	NUM
ejpam-797	957	4	1	1	NUM
ejpam-797	957	5	1	1	NUM
ejpam-797	957	6	1	1	NUM
ejpam-797	957	7	r	r	NOUN
ejpam-797	957	8	s	s	NOUN
ejpam-797	957	9	s	s	X
ejpam-797	957	10	at	at	ADP
ejpam-797	957	11	i	i	PRON
ejpam-797	957	12	i	i	PRON
ejpam-797	958	1	i	i	PRON
ejpam-797	958	2	i	i	PRON
ejpam-797	958	3	a	a	PRON
ejpam-797	958	4	s	s	X
ejpam-797	958	5	a	a	DET
ejpam-797	958	6	a	a	DET
ejpam-797	958	7	s	s	NOUN
ejpam-797	958	8	a	a	DET
ejpam-797	958	9	l	l	NOUN
ejpam-797	959	1	a	a	DET
ejpam-797	959	2	a	a	PRON
ejpam-797	959	3	a	a	DET
ejpam-797	959	4	a	a	DET
ejpam-797	959	5	λ	λ	NOUN
ejpam-797	959	6	ρ⊥	ρ⊥	NOUN
ejpam-797	959	7	−	−	PROPN
ejpam-797	959	8	⊥	⊥	X
ejpam-797	959	9	⊥−	⊥−	NOUN
ejpam-797	960	1	=	=	PUNCT
ejpam-797	961	1	=	=	NOUN
ejpam-797	961	2	⊥	⊥	NOUN
ejpam-797	961	3	⊥	⊥	NUM
ejpam-797	961	4	′	′	NUM
ejpam-797	962	1	′	′	NUM
ejpam-797	963	1	=	=	PUNCT
ejpam-797	964	1	−	−	NOUN
ejpam-797	964	2	−	−	NOUN
ejpam-797	965	1	′	′	NUM
ejpam-797	965	2	′	′	NUM
ejpam-797	965	3	∏	∏	PROPN
ejpam-797	965	4	∏	∏	NOUN
ejpam-797	965	5			NOUN
ejpam-797	965	6	.	.	PUNCT
ejpam-797	966	1	(	(	PUNCT
ejpam-797	966	2	103	103	NUM
ejpam-797	966	3	)	)	PUNCT
ejpam-797	966	4	if	if	SCONJ
ejpam-797	966	5	c	c	PROPN
ejpam-797	966	6	is	be	AUX
ejpam-797	966	7	a	a	DET
ejpam-797	966	8	p×p	p×p	PROPN
ejpam-797	966	9	matrix	matrix	NOUN
ejpam-797	966	10	of	of	ADP
ejpam-797	966	11	full	full	ADJ
ejpam-797	966	12	rank	rank	NOUN
ejpam-797	966	13	and	and	CCONJ
ejpam-797	966	14	[	[	PUNCT
ejpam-797	966	15	]	]	X
ejpam-797	966	16	,	,	PUNCT
ejpam-797	966	17	x	x	X
ejpam-797	966	18	a	a	DET
ejpam-797	966	19	a⊥=	a⊥=	NOUN
ejpam-797	966	20	,	,	PUNCT
ejpam-797	966	21	where	where	SCONJ
ejpam-797	966	22	a	a	PRON
ejpam-797	966	23	and	and	CCONJ
ejpam-797	966	24	a⊥	a⊥	NOUN
ejpam-797	966	25	are	be	AUX
ejpam-797	966	26	full	full	ADJ
ejpam-797	966	27	column	column	NOUN
ejpam-797	966	28	rank	rank	NOUN
ejpam-797	966	29	p×r	p×r	PROPN
ejpam-797	966	30	and	and	CCONJ
ejpam-797	966	31	p×(p	p×(p	ADJ
ejpam-797	966	32	-	-	PUNCT
ejpam-797	966	33	r	r	NOUN
ejpam-797	966	34	)	)	PUNCT
ejpam-797	966	35	matrices	matrix	NOUN
ejpam-797	966	36	respectively	respectively	ADV
ejpam-797	966	37	,	,	PUNCT
ejpam-797	966	38	one	one	PRON
ejpam-797	966	39	may	may	AUX
ejpam-797	966	40	use	use	VERB
ejpam-797	966	41	the	the	DET
ejpam-797	966	42	properties	property	NOUN
ejpam-797	966	43	of	of	ADP
ejpam-797	966	44	determinants	determinant	NOUN
ejpam-797	966	45	to	to	PART
ejpam-797	966	46	write	write	VERB
ejpam-797	966	47	c	c	PROPN
ejpam-797	966	48	x	x	SYM
ejpam-797	966	49	cx	cx	PROPN
ejpam-797	966	50	x	x	X
ejpam-797	966	51	x′	x′	PROPN
ejpam-797	966	52	′=	′=	PROPN
ejpam-797	966	53	.	.	PUNCT
ejpam-797	967	1	and	and	CCONJ
ejpam-797	967	2	since	since	SCONJ
ejpam-797	967	3	0	0	NUM
ejpam-797	967	4	0	0	NUM
ejpam-797	967	5	a	a	DET
ejpam-797	967	6	a	a	DET
ejpam-797	967	7	a	a	DET
ejpam-797	967	8	a	a	DET
ejpam-797	967	9	a	a	DET
ejpam-797	967	10	a	a	NOUN
ejpam-797	967	11	x	x	SYM
ejpam-797	967	12	x	x	X
ejpam-797	967	13	a	a	DET
ejpam-797	967	14	a	a	DET
ejpam-797	967	15	a	a	DET
ejpam-797	967	16	a	a	DET
ejpam-797	967	17	a	a	DET
ejpam-797	967	18	a	a	DET
ejpam-797	967	19	a	a	DET
ejpam-797	967	20	a	a	DET
ejpam-797	967	21	a	a	DET
ejpam-797	967	22	a	a	DET
ejpam-797	967	23	⊥	⊥	PROPN
ejpam-797	967	24	⊥	⊥	NOUN
ejpam-797	967	25	⊥	⊥	PROPN
ejpam-797	967	26	⊥	⊥	PROPN
ejpam-797	967	27	⊥	⊥	PROPN
ejpam-797	967	28	⊥	⊥	PROPN
ejpam-797	967	29	⊥	⊥	X
ejpam-797	967	30	⊥	⊥	NOUN
ejpam-797	968	1	′	′	NUM
ejpam-797	968	2	′	′	NUM
ejpam-797	969	1	′	′	NUM
ejpam-797	970	1	′	′	NUM
ejpam-797	971	1	′	′	NUM
ejpam-797	971	2	′=	′=	PROPN
ejpam-797	972	1	=	=	PUNCT
ejpam-797	973	1	=	=	PUNCT
ejpam-797	974	1	′	′	NUM
ejpam-797	975	1	′	′	NUM
ejpam-797	975	2	′	′	NUM
ejpam-797	976	1	(	(	PUNCT
ejpam-797	976	2	104	104	NUM
ejpam-797	976	3	)	)	PUNCT
ejpam-797	976	4	(	(	PUNCT
ejpam-797	976	5	)	)	PUNCT
ejpam-797	976	6	1a	1a	PROPN
ejpam-797	976	7	ca	can	AUX
ejpam-797	976	8	a	a	DET
ejpam-797	976	9	ca	ca	NOUN
ejpam-797	976	10	x	x	PROPN
ejpam-797	976	11	cx	cx	PROPN
ejpam-797	976	12	a	a	DET
ejpam-797	976	13	ca	ca	NOUN
ejpam-797	976	14	a	a	DET
ejpam-797	976	15	ca	ca	NOUN
ejpam-797	976	16	a	a	DET
ejpam-797	976	17	ca	ca	NOUN
ejpam-797	976	18	a	a	DET
ejpam-797	976	19	ca	ca	NOUN
ejpam-797	976	20	a	a	DET
ejpam-797	976	21	ca	ca	NOUN
ejpam-797	976	22	a	a	DET
ejpam-797	976	23	ca	ca	NOUN
ejpam-797	976	24	a	a	DET
ejpam-797	976	25	ca	ca	NOUN
ejpam-797	977	1	−⊥	−⊥	PROPN
ejpam-797	977	2	⊥	⊥	PROPN
ejpam-797	977	3	⊥	⊥	PROPN
ejpam-797	977	4	⊥	⊥	PROPN
ejpam-797	977	5	⊥	⊥	PROPN
ejpam-797	977	6	⊥	⊥	PROPN
ejpam-797	977	7	⊥	⊥	PROPN
ejpam-797	977	8	⊥	⊥	PROPN
ejpam-797	977	9	⊥	⊥	X
ejpam-797	977	10	⊥	⊥	NOUN
ejpam-797	978	1	′	′	NUM
ejpam-797	978	2	′	′	NUM
ejpam-797	979	1	′	′	NUM
ejpam-797	980	1	′	′	NUM
ejpam-797	981	1	′	′	NUM
ejpam-797	982	1	′	′	NUM
ejpam-797	983	1	′	′	NUM
ejpam-797	983	2	′=	′=	PROPN
ejpam-797	984	1	=	=	PUNCT
ejpam-797	985	1	−	−	PROPN
ejpam-797	986	1	′	′	NUM
ejpam-797	986	2	′	′	NUM
ejpam-797	987	1	(	(	PUNCT
ejpam-797	987	2	105	105	NUM
ejpam-797	987	3	)	)	PUNCT
ejpam-797	987	4	we	we	PRON
ejpam-797	987	5	have	have	VERB
ejpam-797	987	6	(	(	PUNCT
ejpam-797	987	7	)	)	PUNCT
ejpam-797	987	8	1a	1a	PROPN
ejpam-797	987	9	ca	can	AUX
ejpam-797	987	10	a	a	DET
ejpam-797	987	11	ca	ca	NOUN
ejpam-797	988	1	a	a	DET
ejpam-797	988	2	ca	ca	NOUN
ejpam-797	988	3	a	a	DET
ejpam-797	988	4	ca	ca	NOUN
ejpam-797	988	5	a	a	DET
ejpam-797	988	6	ca	ca	NOUN
ejpam-797	988	7	c	c	VERB
ejpam-797	988	8	a	a	DET
ejpam-797	988	9	a	a	DET
ejpam-797	988	10	a	a	DET
ejpam-797	988	11	a	a	DET
ejpam-797	988	12	−	−	NOUN
ejpam-797	988	13	⊥	⊥	PROPN
ejpam-797	988	14	⊥	⊥	PROPN
ejpam-797	988	15	⊥	⊥	PROPN
ejpam-797	988	16	⊥	⊥	PROPN
ejpam-797	988	17	⊥	⊥	PROPN
ejpam-797	988	18	⊥	⊥	PROPN
ejpam-797	988	19	⊥	⊥	X
ejpam-797	988	20	⊥	⊥	NOUN
ejpam-797	989	1	′	′	NUM
ejpam-797	989	2	′	′	NUM
ejpam-797	990	1	′	′	NUM
ejpam-797	991	1	′	′	NUM
ejpam-797	992	1	′−	′−	PROPN
ejpam-797	993	1	=	=	PUNCT
ejpam-797	994	1	′	′	NUM
ejpam-797	995	1	′	′	NUM
ejpam-797	995	2	.	.	PUNCT
ejpam-797	996	1	(	(	PUNCT
ejpam-797	996	2	106	106	NUM
ejpam-797	996	3	)	)	PUNCT
ejpam-797	996	4	substituting	substitute	VERB
ejpam-797	996	5	00s	00	NOUN
ejpam-797	996	6	c=	c=	NOUN
ejpam-797	996	7	and	and	CCONJ
ejpam-797	996	8	recalling	recall	VERB
ejpam-797	996	9	(	(	PUNCT
ejpam-797	996	10	)	)	PUNCT
ejpam-797	996	11	1	1	NUM
ejpam-797	996	12	00	00	NUM
ejpam-797	996	13	.	.	PUNCT
ejpam-797	996	14	00	00	NUM
ejpam-797	997	1	00	00	NUM
ejpam-797	997	2	00	00	NUM
ejpam-797	998	1	00as	00as	NOUN
ejpam-797	998	2	s	s	PART
ejpam-797	998	3	s	s	X
ejpam-797	998	4	a	a	PRON
ejpam-797	998	5	a	a	DET
ejpam-797	998	6	s	s	NOUN
ejpam-797	998	7	a	a	DET
ejpam-797	998	8	a	a	DET
ejpam-797	998	9	s	s	NOUN
ejpam-797	998	10	⊥	⊥	NOUN
ejpam-797	998	11	−	−	PROPN
ejpam-797	998	12	⊥	⊥	PROPN
ejpam-797	998	13	⊥	⊥	PROPN
ejpam-797	998	14	⊥	⊥	ADJ
ejpam-797	998	15	⊥′	⊥′	PROPN
ejpam-797	998	16	′=	′=	PROPN
ejpam-797	998	17	−	−	PROPN
ejpam-797	998	18	we	we	PRON
ejpam-797	998	19	have	have	VERB
ejpam-797	998	20	00	00	NUM
ejpam-797	998	21	00	00	NUM
ejpam-797	998	22	.	.	PUNCT
ejpam-797	998	23	00	00	PUNCT
ejpam-797	999	1	aa	aa	NOUN
ejpam-797	999	2	s	s	VERB
ejpam-797	999	3	a	a	PRON
ejpam-797	999	4	a	a	DET
ejpam-797	999	5	s	s	NOUN
ejpam-797	999	6	a	a	DET
ejpam-797	999	7	s	s	NOUN
ejpam-797	999	8	a	a	DET
ejpam-797	999	9	a	a	DET
ejpam-797	999	10	a	a	DET
ejpam-797	999	11	a	a	DET
ejpam-797	999	12	⊥⊥	⊥⊥	PROPN
ejpam-797	999	13	⊥	⊥	NOUN
ejpam-797	1000	1	⊥	⊥	X
ejpam-797	1000	2	⊥	⊥	NUM
ejpam-797	1000	3	′	′	NUM
ejpam-797	1000	4	′	′	NUM
ejpam-797	1001	1	=	=	PUNCT
ejpam-797	1001	2	′	′	NUM
ejpam-797	1001	3	′	′	NUM
ejpam-797	1001	4	.	.	PUNCT
ejpam-797	1002	1	(	(	PUNCT
ejpam-797	1002	2	107	107	NUM
ejpam-797	1002	3	)	)	PUNCT
ejpam-797	1002	4	therefore	therefore	ADV
ejpam-797	1002	5	,	,	PUNCT
ejpam-797	1002	6	apart	apart	ADV
ejpam-797	1002	7	from	from	ADP
ejpam-797	1002	8	a	a	DET
ejpam-797	1002	9	constant	constant	ADJ
ejpam-797	1002	10	,	,	PUNCT
ejpam-797	1002	11	the	the	DET
ejpam-797	1002	12	maximized	maximized	ADJ
ejpam-797	1002	13	likelihood	likelihood	NOUN
ejpam-797	1002	14	is	be	AUX
ejpam-797	1002	15	(	(	PUNCT
ejpam-797	1002	16	)	)	PUNCT
ejpam-797	1002	17	(	(	PUNCT
ejpam-797	1002	18	)	)	PUNCT
ejpam-797	1002	19	2/	2/	NUM
ejpam-797	1002	20	max	max	NOUN
ejpam-797	1002	21	00	00	NUM
ejpam-797	1002	22	1	1	NUM
ejpam-797	1002	23	1	1	NUM
ejpam-797	1002	24	1	1	NUM
ejpam-797	1002	25	1	1	NUM
ejpam-797	1002	26	r	r	NOUN
ejpam-797	1002	27	s	s	PROPN
ejpam-797	1002	28	s	s	NOUN
ejpam-797	1002	29	t	t	NOUN
ejpam-797	1003	1	i	i	PRON
ejpam-797	1003	2	i	i	PRON
ejpam-797	1004	1	i	i	PRON
ejpam-797	1005	1	i	i	VERB
ejpam-797	1005	2	l	l	NOUN
ejpam-797	1005	3	s	s	VERB
ejpam-797	1005	4	λ	λ	X
ejpam-797	1005	5	ρ	ρ	NOUN
ejpam-797	1005	6	−	−	NOUN
ejpam-797	1005	7	−	−	NOUN
ejpam-797	1006	1	=	=	SYM
ejpam-797	1006	2	=	=	PUNCT
ejpam-797	1006	3	=	=	SYM
ejpam-797	1006	4	−	−	PROPN
ejpam-797	1006	5	−∏	−∏	NOUN
ejpam-797	1006	6	∏	∏	NOUN
ejpam-797	1006	7			NOUN
ejpam-797	1006	8	.	.	PUNCT
ejpam-797	1007	1			NUM
ejpam-797	1007	2	(	(	PUNCT
ejpam-797	1007	3	108	108	NUM
ejpam-797	1007	4	)	)	PUNCT
ejpam-797	1007	5	proof	proof	NOUN
ejpam-797	1007	6	of	of	ADP
ejpam-797	1007	7	theorem	theorem	NOUN
ejpam-797	1007	8	2	2	NUM
ejpam-797	1007	9	.	.	PUNCT
ejpam-797	1008	1	the	the	DET
ejpam-797	1008	2	likelihood	likelihood	NOUN
ejpam-797	1008	3	ratio	ratio	NOUN
ejpam-797	1008	4	test	test	NOUN
ejpam-797	1008	5	for	for	ADP
ejpam-797	1008	6	0h	0h	PROPN
ejpam-797	1008	7	in	in	ADP
ejpam-797	1008	8	h(r	h(r	NOUN
ejpam-797	1008	9	)	)	PUNCT
ejpam-797	1008	10	is	be	AUX
ejpam-797	1008	11	(	(	PUNCT
ejpam-797	1008	12	)	)	PUNCT
ejpam-797	1008	13	(	(	PUNCT
ejpam-797	1008	14	)	)	PUNCT
ejpam-797	1008	15	(	(	PUNCT
ejpam-797	1008	16	)	)	PUNCT
ejpam-797	1008	17	(	(	PUNCT
ejpam-797	1008	18	)	)	PUNCT
ejpam-797	1008	19	(	(	PUNCT
ejpam-797	1008	20	)	)	PUNCT
ejpam-797	1008	21	(	(	PUNCT
ejpam-797	1008	22	)	)	PUNCT
ejpam-797	1008	23	0	0	NUM
ejpam-797	1009	1	02lnlr	02lnlr	NUM
ejpam-797	1010	1	h	h	NOUN
ejpam-797	1010	2	h	h	NOUN
ejpam-797	1010	3	r	r	NOUN
ejpam-797	1010	4	l	l	NOUN
ejpam-797	1011	1	h	h	NOUN
ejpam-797	1011	2	r	r	NOUN
ejpam-797	1011	3	l	l	NOUN
ejpam-797	1011	4	h=	h=	X
ejpam-797	1011	5	−	−	PROPN
ejpam-797	1011	6	.	.	PUNCT
ejpam-797	1012	1	(	(	PUNCT
ejpam-797	1012	2	109	109	NUM
ejpam-797	1012	3	)	)	PUNCT
ejpam-797	1012	4	the	the	DET
ejpam-797	1012	5	constant	constant	ADJ
ejpam-797	1012	6	terms	term	NOUN
ejpam-797	1012	7	in	in	ADP
ejpam-797	1012	8	both	both	PRON
ejpam-797	1012	9	cancel	cancel	VERB
ejpam-797	1012	10	,	,	PUNCT
ejpam-797	1012	11	and	and	CCONJ
ejpam-797	1012	12	one	one	PRON
ejpam-797	1012	13	can	can	AUX
ejpam-797	1012	14	write	write	VERB
ejpam-797	1012	15	from	from	ADP
ejpam-797	1012	16	(	(	PUNCT
ejpam-797	1012	17	15	15	NUM
ejpam-797	1012	18	)	)	PUNCT
ejpam-797	1012	19	and	and	CCONJ
ejpam-797	1012	20	(	(	PUNCT
ejpam-797	1012	21	108	108	NUM
ejpam-797	1012	22	)	)	PUNCT
ejpam-797	1012	23	,	,	PUNCT
ejpam-797	1012	24	(	(	PUNCT
ejpam-797	1012	25	)	)	PUNCT
ejpam-797	1012	26	(	(	PUNCT
ejpam-797	1012	27	)	)	PUNCT
ejpam-797	1012	28	(	(	PUNCT
ejpam-797	1012	29	)	)	PUNCT
ejpam-797	1012	30	(	(	PUNCT
ejpam-797	1012	31	)	)	PUNCT
ejpam-797	1012	32	(	(	PUNCT
ejpam-797	1012	33	)	)	PUNCT
ejpam-797	1012	34	0	0	NUM
ejpam-797	1012	35	00	00	NUM
ejpam-797	1012	36	00	00	NUM
ejpam-797	1012	37	1	1	NUM
ejpam-797	1012	38	1	1	NUM
ejpam-797	1012	39	1	1	NUM
ejpam-797	1012	40	ˆln	ˆln	NOUN
ejpam-797	1012	41	ln	ln	ADV
ejpam-797	1012	42	1	1	NUM
ejpam-797	1012	43	ln	ln	NOUN
ejpam-797	1012	44	1	1	NUM
ejpam-797	1012	45	ln	ln	NOUN
ejpam-797	1012	46	ln	ln	ADJ
ejpam-797	1013	1	1	1	NUM
ejpam-797	1013	2	r	r	NOUN
ejpam-797	1013	3	s	s	NOUN
ejpam-797	1013	4	s	s	NOUN
ejpam-797	1013	5	r	r	NOUN
ejpam-797	1014	1	i	i	PRON
ejpam-797	1015	1	i	i	PRON
ejpam-797	1016	1	i	i	PRON
ejpam-797	1017	1	i	i	PRON
ejpam-797	1018	1	i	i	PRON
ejpam-797	1019	1	i	i	PRON
ejpam-797	1019	2	lr	lr	VERB
ejpam-797	1019	3	h	h	NOUN
ejpam-797	1019	4	h	h	NOUN
ejpam-797	1020	1	r	r	NOUN
ejpam-797	1020	2	t	t	PROPN
ejpam-797	1020	3	s	s	X
ejpam-797	1020	4	sλ	sλ	NOUN
ejpam-797	1020	5	ρ	ρ	NUM
ejpam-797	1020	6	λ	λ	NOUN
ejpam-797	1020	7	−	−	NOUN
ejpam-797	1020	8	=	=	SYM
ejpam-797	1021	1	=	=	PUNCT
ejpam-797	1021	2	=	=	PUNCT
ejpam-797	1021	3			PRON
ejpam-797	1021	4			NOUN
ejpam-797	1021	5	=	=	PUNCT
ejpam-797	1022	1	+	+	CCONJ
ejpam-797	1022	2	−	−	PROPN
ejpam-797	1023	1	+	+	CCONJ
ejpam-797	1023	2	−	−	PROPN
ejpam-797	1024	1	−	−	NOUN
ejpam-797	1024	2	−	−	NOUN
ejpam-797	1024	3	−	−	PUNCT
ejpam-797	1025	1			PROPN
ejpam-797	1025	2			ADJ
ejpam-797	1025	3			NOUN
ejpam-797	1025	4	∑	∑	PROPN
ejpam-797	1025	5	∑	∑	PROPN
ejpam-797	1025	6	∑	∑	ADJ
ejpam-797	1025	7			NOUN
ejpam-797	1025	8	,	,	PUNCT
ejpam-797	1025	9	(	(	PUNCT
ejpam-797	1025	10	110	110	NUM
ejpam-797	1025	11	)	)	PUNCT
ejpam-797	1025	12	which	which	PRON
ejpam-797	1025	13	yields	yield	VERB
ejpam-797	1025	14	the	the	DET
ejpam-797	1025	15	likelihood	likelihood	NOUN
ejpam-797	1025	16	ratio	ratio	NOUN
ejpam-797	1025	17	test	test	NOUN
ejpam-797	1025	18	statistic	statistic	PROPN
ejpam-797	1025	19	(	(	PUNCT
ejpam-797	1025	20	)	)	PUNCT
ejpam-797	1025	21	(	(	PUNCT
ejpam-797	1025	22	)	)	PUNCT
ejpam-797	1025	23	(	(	PUNCT
ejpam-797	1025	24	)	)	PUNCT
ejpam-797	1025	25	(	(	PUNCT
ejpam-797	1025	26	)	)	PUNCT
ejpam-797	1025	27	(	(	PUNCT
ejpam-797	1025	28	)	)	PUNCT
ejpam-797	1025	29	0	0	NUM
ejpam-797	1025	30	1	1	NUM
ejpam-797	1025	31	1	1	NUM
ejpam-797	1025	32	1	1	NUM
ejpam-797	1025	33	ˆln	ˆln	NOUN
ejpam-797	1025	34	1	1	NUM
ejpam-797	1025	35	ln	ln	NOUN
ejpam-797	1025	36	1	1	NUM
ejpam-797	1025	37	ln	ln	NOUN
ejpam-797	1025	38	1	1	NUM
ejpam-797	1025	39	r	r	NOUN
ejpam-797	1025	40	s	s	NOUN
ejpam-797	1025	41	s	s	NOUN
ejpam-797	1025	42	r	r	NOUN
ejpam-797	1026	1	i	i	PRON
ejpam-797	1026	2	i	i	PRON
ejpam-797	1027	1	i	i	PRON
ejpam-797	1027	2	i	i	PRON
ejpam-797	1028	1	i	i	PRON
ejpam-797	1028	2	i	i	PRON
ejpam-797	1028	3	lr	lr	VERB
ejpam-797	1028	4	h	h	NOUN
ejpam-797	1028	5	h	h	NOUN
ejpam-797	1029	1	r	r	NOUN
ejpam-797	1029	2	t	t	NOUN
ejpam-797	1029	3	λ	λ	PROPN
ejpam-797	1029	4	ρ	ρ	X
ejpam-797	1029	5	λ	λ	NOUN
ejpam-797	1029	6	−	−	NOUN
ejpam-797	1030	1	=	=	SYM
ejpam-797	1030	2	=	=	PUNCT
ejpam-797	1030	3	=	=	PUNCT
ejpam-797	1030	4			PRON
ejpam-797	1030	5			NOUN
ejpam-797	1030	6	=	=	PUNCT
ejpam-797	1030	7	−	−	PROPN
ejpam-797	1031	1	+	+	CCONJ
ejpam-797	1031	2	−	−	PROPN
ejpam-797	1031	3	−	−	PROPN
ejpam-797	1031	4	−	−	PUNCT
ejpam-797	1031	5			PROPN
ejpam-797	1031	6			ADJ
ejpam-797	1031	7			NOUN
ejpam-797	1031	8	∑	∑	PROPN
ejpam-797	1031	9	∑	∑	PROPN
ejpam-797	1031	10	∑	∑	X
ejpam-797	1031	11			NOUN
ejpam-797	1031	12	.	.	PUNCT
ejpam-797	1032	1	(	(	PUNCT
ejpam-797	1032	2	111	111	NUM
ejpam-797	1032	3	)	)	PUNCT
ejpam-797	1032	4	the	the	DET
ejpam-797	1032	5	calculation	calculation	NOUN
ejpam-797	1032	6	for	for	ADP
ejpam-797	1032	7	the	the	DET
ejpam-797	1032	8	limiting	limit	VERB
ejpam-797	1032	9	distribution	distribution	NOUN
ejpam-797	1032	10	and	and	CCONJ
ejpam-797	1032	11	degrees	degree	NOUN
ejpam-797	1032	12	of	of	ADP
ejpam-797	1032	13	freedom	freedom	NOUN
ejpam-797	1032	14	for	for	ADP
ejpam-797	1032	15	these	these	DET
ejpam-797	1032	16	tests	test	NOUN
ejpam-797	1032	17	are	be	AUX
ejpam-797	1032	18	based	base	VERB
ejpam-797	1032	19	on	on	ADP
ejpam-797	1032	20	[	[	X
ejpam-797	1032	21	20	20	NUM
ejpam-797	1032	22	,	,	PUNCT
ejpam-797	1032	23	21	21	NUM
ejpam-797	1032	24	]	]	PUNCT
ejpam-797	1032	25	and	and	CCONJ
ejpam-797	1032	26	on	on	ADP
ejpam-797	1032	27	[	[	X
ejpam-797	1032	28	23	23	NUM
ejpam-797	1032	29	,	,	PUNCT
ejpam-797	1032	30	lemma	lemma	PROPN
ejpam-797	1032	31	7.1	7.1	NUM
ejpam-797	1032	32	]	]	PUNCT
ejpam-797	1032	33	.	.	PUNCT
ejpam-797	1033	1	the	the	DET
ejpam-797	1033	2	former	former	ADJ
ejpam-797	1033	3	set	set	NOUN
ejpam-797	1033	4	shows	show	VERB
ejpam-797	1033	5	that	that	SCONJ
ejpam-797	1033	6	the	the	DET
ejpam-797	1033	7	limiting	limit	VERB
ejpam-797	1033	8	distribution	distribution	NOUN
ejpam-797	1033	9	of	of	ADP
ejpam-797	1033	10	the	the	DET
ejpam-797	1033	11	likelihood	likelihood	NOUN
ejpam-797	1033	12	ratio	ratio	NOUN
ejpam-797	1033	13	tests	test	NOUN
ejpam-797	1033	14	for	for	ADP
ejpam-797	1033	15	restrictions	restriction	NOUN
ejpam-797	1033	16	on	on	ADP
ejpam-797	1033	17	β	β	NOUN
ejpam-797	1033	18	and	and	CCONJ
ejpam-797	1033	19	α	α	PRON
ejpam-797	1033	20	given	give	VERB
ejpam-797	1033	21	r	r	NOUN
ejpam-797	1033	22	cointegrating	cointegrate	VERB
ejpam-797	1033	23	relationships	relationship	NOUN
ejpam-797	1033	24	is	be	AUX
ejpam-797	1033	25	2χ	2χ	NUM
ejpam-797	1033	26	.	.	PUNCT
ejpam-797	1034	1	the	the	DET
ejpam-797	1034	2	latter	latter	ADJ
ejpam-797	1034	3	shows	show	VERB
ejpam-797	1034	4	that	that	SCONJ
ejpam-797	1034	5	for	for	ADP
ejpam-797	1034	6	a×b	a×b	PROPN
ejpam-797	1034	7	and	and	CCONJ
ejpam-797	1034	8	c×b	c×b	PROPN
ejpam-797	1034	9	matrices	matrix	NOUN
ejpam-797	1034	10	of	of	ADP
ejpam-797	1034	11	full	full	ADJ
ejpam-797	1034	12	column	column	NOUN
ejpam-797	1034	13	rank	rank	NOUN
ejpam-797	1034	14	,	,	PUNCT
ejpam-797	1034	15	x	x	PUNCT
ejpam-797	1034	16	and	and	CCONJ
ejpam-797	1034	17	y	y	PROPN
ejpam-797	1034	18	,	,	PUNCT
ejpam-797	1034	19	the	the	DET
ejpam-797	1034	20	tangent	tangent	ADJ
ejpam-797	1034	21	space	space	NOUN
ejpam-797	1034	22	of	of	ADP
ejpam-797	1034	23	xy	xy	PROPN
ejpam-797	1034	24	′	′	PROPN
ejpam-797	1034	25	has	have	VERB
ejpam-797	1034	26	dimension	dimension	NOUN
ejpam-797	1034	27	(	(	PUNCT
ejpam-797	1034	28	a+c	a+c	NOUN
ejpam-797	1034	29	-	-	NOUN
ejpam-797	1034	30	b)b	b)b	NOUN
ejpam-797	1034	31	.	.	PUNCT
ejpam-797	1035	1	the	the	DET
ejpam-797	1035	2	number	number	NOUN
ejpam-797	1035	3	of	of	ADP
ejpam-797	1035	4	parameters	parameter	NOUN
ejpam-797	1035	5	in	in	ADP
ejpam-797	1035	6	the	the	DET
ejpam-797	1035	7	unrestricted	unrestricted	ADJ
ejpam-797	1035	8	αβ	αβ	NOUN
ejpam-797	1035	9	′π	′π	PROPN
ejpam-797	1035	10	=	=	PUNCT
ejpam-797	1035	11	is	be	AUX
ejpam-797	1035	12	(	(	PUNCT
ejpam-797	1035	13	using	use	VERB
ejpam-797	1035	14	,	,	PUNCT
ejpam-797	1035	15	p	p	X
ejpam-797	1035	16	=	=	NOUN
ejpam-797	1035	17	a	a	NOUN
ejpam-797	1035	18	,	,	PUNCT
ejpam-797	1035	19	b	b	NOUN
ejpam-797	1035	20	=	=	SYM
ejpam-797	1035	21	r	r	NOUN
ejpam-797	1035	22	,	,	PUNCT
ejpam-797	1035	23	and	and	CCONJ
ejpam-797	1035	24	c	c	X
ejpam-797	1035	25	=	=	SYM
ejpam-797	1035	26	p	p	NOUN
ejpam-797	1035	27	)	)	PUNCT
ejpam-797	1035	28	,	,	PUNCT
ejpam-797	1035	29	2pr	2pr	X
ejpam-797	1035	30	-	-	PUNCT
ejpam-797	1035	31	r2	r2	NOUN
ejpam-797	1035	32	.	.	PUNCT
ejpam-797	1036	1	in	in	ADP
ejpam-797	1036	2	the	the	DET
ejpam-797	1036	3	restricted	restricted	ADJ
ejpam-797	1036	4	model	model	NOUN
ejpam-797	1036	5	the	the	DET
ejpam-797	1036	6	number	number	NOUN
ejpam-797	1036	7	of	of	ADP
ejpam-797	1036	8	free	free	ADJ
ejpam-797	1036	9	parameters	parameter	NOUN
ejpam-797	1036	10	in	in	ADP
ejpam-797	1036	11	1	1	NUM
ejpam-797	1036	12	2a	2a	NUM
ejpam-797	1036	13	h	h	NOUN
ejpam-797	1036	14	a	a	DET
ejpam-797	1036	15	hψ	hψ	NOUN
ejpam-797	1036	16	ψ	ψ	X
ejpam-797	1036	17	φ	φ	PROPN
ejpam-797	1036	18	⊥′	⊥′	PROPN
ejpam-797	1036	19	′	′	NUM
ejpam-797	1037	1	′π	′π	PROPN
ejpam-797	1038	1	=	=	PUNCT
ejpam-797	1039	1	+	+	CCONJ
ejpam-797	1039	2	is	be	AUX
ejpam-797	1039	3	ms+(m+(p	ms+(m+(p	ADJ
ejpam-797	1039	4	-	-	ADJ
ejpam-797	1039	5	s)-(r	s)-(r	ADJ
ejpam-797	1039	6	-	-	PUNCT
ejpam-797	1039	7	s))(r	s))(r	NOUN
ejpam-797	1039	8	-	-	PUNCT
ejpam-797	1039	9	s	s	NOUN
ejpam-797	1039	10	)	)	PUNCT
ejpam-797	1040	1	=	=	SYM
ejpam-797	1040	2	mr+pr	mr+pr	NOUN
ejpam-797	1040	3	-	-	PUNCT
ejpam-797	1040	4	ps+sr	ps+sr	NOUN
ejpam-797	1040	5	-	-	PUNCT
ejpam-797	1040	6	r2	r2	NOUN
ejpam-797	1040	7	.	.	PUNCT
ejpam-797	1041	1	the	the	DET
ejpam-797	1041	2	references	reference	NOUN
ejpam-797	1041	3	565	565	NUM
ejpam-797	1041	4	difference	difference	NOUN
ejpam-797	1041	5	between	between	ADP
ejpam-797	1041	6	the	the	DET
ejpam-797	1041	7	unrestricted	unrestricted	ADJ
ejpam-797	1041	8	and	and	CCONJ
ejpam-797	1041	9	restricted	restrict	VERB
ejpam-797	1041	10	free	free	ADJ
ejpam-797	1041	11	parameters	parameter	NOUN
ejpam-797	1041	12	,	,	PUNCT
ejpam-797	1041	13	r(p	r(p	PROPN
ejpam-797	1041	14	-	-	PUNCT
ejpam-797	1041	15	m)+s(p	m)+s(p	NOUN
ejpam-797	1041	16	-	-	PUNCT
ejpam-797	1041	17	r	r	NOUN
ejpam-797	1041	18	)	)	PUNCT
ejpam-797	1041	19	,	,	PUNCT
ejpam-797	1041	20	are	be	AUX
ejpam-797	1041	21	the	the	DET
ejpam-797	1041	22	degrees	degree	NOUN
ejpam-797	1041	23	of	of	ADP
ejpam-797	1041	24	freedom	freedom	NOUN
ejpam-797	1041	25	.	.	PUNCT
ejpam-797	1042	1	so	so	ADV
ejpam-797	1042	2	,	,	PUNCT
ejpam-797	1042	3	the	the	DET
ejpam-797	1042	4	likelihood	likelihood	NOUN
ejpam-797	1042	5	ratio	ratio	NOUN
ejpam-797	1042	6	test	test	NOUN
ejpam-797	1042	7	is	be	AUX
ejpam-797	1042	8	asymptotically	asymptotically	ADV
ejpam-797	1042	9	distributed	distribute	VERB
ejpam-797	1042	10	as	as	ADP
ejpam-797	1042	11	2χ	2χ	NUM
ejpam-797	1042	12	with	with	ADP
ejpam-797	1042	13	r(p	r(p	PROPN
ejpam-797	1042	14	-	-	PUNCT
ejpam-797	1042	15	m)+s(p	m)+s(p	NOUN
ejpam-797	1042	16	-	-	PUNCT
ejpam-797	1042	17	r	r	NOUN
ejpam-797	1042	18	)	)	PUNCT
ejpam-797	1042	19	degrees	degree	NOUN
ejpam-797	1042	20	of	of	ADP
ejpam-797	1042	21	freedom	freedom	NOUN
ejpam-797	1042	22	.	.	PUNCT
ejpam-797	1043	1			NUM
ejpam-797	1043	2	proof	proof	NOUN
ejpam-797	1043	3	of	of	ADP
ejpam-797	1043	4	theorem	theorem	NOUN
ejpam-797	1043	5	3	3	NUM
ejpam-797	1043	6	.	.	NOUN
ejpam-797	1043	7	0	0	NUM
ejpam-797	1043	8	:	:	PUNCT
ejpam-797	1043	9	,	,	PUNCT
ejpam-797	1043	10	,	,	PUNCT
ejpam-797	1043	11	h	h	NOUN
ejpam-797	1043	12	h	h	NOUN
ejpam-797	1043	13	a	a	DET
ejpam-797	1043	14	aβ	aβ	NOUN
ejpam-797	1043	15	φ	φ	PROPN
ejpam-797	1043	16	α	α	NOUN
ejpam-797	1043	17	ψ⊥	ψ⊥	NOUN
ejpam-797	1043	18	=	=	PUNCT
ejpam-797	1043	19	=	=	SYM
ejpam-797	1043	20			NOUN
ejpam-797	1043	21			VERB
ejpam-797	1043	22	where	where	SCONJ
ejpam-797	1043	23	h	h	PROPN
ejpam-797	1043	24	p×s	p×s	PROPN
ejpam-797	1043	25	,	,	PUNCT
ejpam-797	1043	26	a	a	DET
ejpam-797	1043	27	p×m	p×m	NOUN
ejpam-797	1043	28	are	be	AUX
ejpam-797	1043	29	known	know	VERB
ejpam-797	1043	30	and	and	CCONJ
ejpam-797	1043	31	φ	φ	PROPN
ejpam-797	1043	32	s×r	s×r	PROPN
ejpam-797	1043	33	,	,	PUNCT
ejpam-797	1043	34	ψ	ψ	X
ejpam-797	1043	35	(	(	PUNCT
ejpam-797	1043	36	p	p	X
ejpam-797	1043	37	-	-	PUNCT
ejpam-797	1043	38	m)×(r	m)×(r	NOUN
ejpam-797	1043	39	-	-	NOUN
ejpam-797	1043	40	m	m	NOUN
ejpam-797	1043	41	)	)	PUNCT
ejpam-797	1043	42	are	be	AUX
ejpam-797	1043	43	unknown	unknown	ADJ
ejpam-797	1043	44	,	,	PUNCT
ejpam-797	1043	45	r≤s	r≤s	PROPN
ejpam-797	1043	46	<	<	X
ejpam-797	1043	47	p.	p.	NOUN
ejpam-797	1043	48	the	the	DET
ejpam-797	1043	49	reduced	reduce	VERB
ejpam-797	1043	50	rank	rank	NOUN
ejpam-797	1043	51	regression	regression	NOUN
ejpam-797	1043	52	is	be	AUX
ejpam-797	1043	53	then	then	ADV
ejpam-797	1043	54	0	0	NUM
ejpam-797	1043	55	1	1	NUM
ejpam-797	1043	56	1	1	NUM
ejpam-797	1043	57	2	2	NUM
ejpam-797	1043	58	1	1	NUM
ejpam-797	1043	59	ˆt	ˆt	ADP
ejpam-797	1043	60	t	t	PROPN
ejpam-797	1043	61	t	t	PROPN
ejpam-797	1043	62	tr	tr	VERB
ejpam-797	1043	63	a	a	DET
ejpam-797	1043	64	h	h	NOUN
ejpam-797	1043	65	r	r	NOUN
ejpam-797	1043	66	a	a	DET
ejpam-797	1043	67	h	h	NOUN
ejpam-797	1043	68	rφ	rφ	VERB
ejpam-797	1043	69	ψφ	ψφ	ADP
ejpam-797	1043	70	ε⊥′	ε⊥′	PROPN
ejpam-797	1044	1	′	′	NUM
ejpam-797	1044	2	′	′	NUM
ejpam-797	1045	1	′=	′=	PROPN
ejpam-797	1046	1	+	+	X
ejpam-797	1046	2	+	+	CCONJ
ejpam-797	1046	3	,	,	PUNCT
ejpam-797	1046	4	(	(	PUNCT
ejpam-797	1046	5	112	112	NUM
ejpam-797	1046	6	)	)	PUNCT
ejpam-797	1046	7	where	where	SCONJ
ejpam-797	1046	8	φ	φ	PROPN
ejpam-797	1046	9	is	be	AUX
ejpam-797	1046	10	partitioned	partition	VERB
ejpam-797	1046	11	conformably	conformably	ADV
ejpam-797	1046	12	with	with	ADP
ejpam-797	1046	13	α	α	NOUN
ejpam-797	1046	14	as	as	ADP
ejpam-797	1046	15	11	11	NUM
ejpam-797	1046	16	0sρ	0sρ	NOUN
ejpam-797	1046	17	ρ≥	ρ≥	PROPN
ejpam-797	1046	18	≥	≥	NUM
ejpam-797	1046	19	≥	≥	NOUN
ejpam-797	1046	20	≥	≥	PROPN
ejpam-797	1046	21			NOUN
ejpam-797	1046	22			INTJ
ejpam-797	1046	23	,	,	PUNCT
ejpam-797	1046	24	and	and	CCONJ
ejpam-797	1046	25	is	be	AUX
ejpam-797	1046	26	split	split	VERB
ejpam-797	1046	27	into	into	ADP
ejpam-797	1046	28	0	0	NUM
ejpam-797	1046	29	1	1	NUM
ejpam-797	1046	30	1	1	NUM
ejpam-797	1046	31	ˆt	ˆt	ADP
ejpam-797	1046	32	t	t	X
ejpam-797	1046	33	ta	ta	NOUN
ejpam-797	1046	34	r	r	NOUN
ejpam-797	1046	35	h	h	NOUN
ejpam-797	1046	36	r	r	NOUN
ejpam-797	1046	37	aφ	aφ	NOUN
ejpam-797	1046	38	ε′	ε′	NOUN
ejpam-797	1046	39	′	′	NUM
ejpam-797	1047	1	′	′	NUM
ejpam-797	1047	2	′=	′=	PROPN
ejpam-797	1047	3	+	+	CCONJ
ejpam-797	1047	4	(	(	PUNCT
ejpam-797	1047	5	113	113	NUM
ejpam-797	1047	6	)	)	PUNCT
ejpam-797	1047	7	and	and	CCONJ
ejpam-797	1047	8	0	0	NUM
ejpam-797	1047	9	2	2	NUM
ejpam-797	1047	10	1	1	NUM
ejpam-797	1047	11	ˆt	ˆt	ADP
ejpam-797	1047	12	t	t	X
ejpam-797	1047	13	ta	ta	NOUN
ejpam-797	1047	14	r	r	NOUN
ejpam-797	1047	15	h	h	NOUN
ejpam-797	1047	16	r	r	NOUN
ejpam-797	1047	17	aψφ	aψφ	NOUN
ejpam-797	1047	18	ε⊥	ε⊥	X
ejpam-797	1047	19	⊥′	⊥′	PROPN
ejpam-797	1047	20	′	′	NUM
ejpam-797	1048	1	′	′	NUM
ejpam-797	1048	2	′=	′=	PROPN
ejpam-797	1048	3	+	+	X
ejpam-797	1048	4	.	.	PUNCT
ejpam-797	1049	1	(	(	PUNCT
ejpam-797	1049	2	114	114	NUM
ejpam-797	1049	3	)	)	PUNCT
ejpam-797	1049	4	this	this	PRON
ejpam-797	1049	5	allows	allow	VERB
ejpam-797	1049	6	one	one	NUM
ejpam-797	1049	7	to	to	PART
ejpam-797	1049	8	factor	factor	VERB
ejpam-797	1049	9	the	the	DET
ejpam-797	1049	10	likelihood	likelihood	NOUN
ejpam-797	1049	11	function	function	NOUN
ejpam-797	1049	12	into	into	ADP
ejpam-797	1049	13	a	a	DET
ejpam-797	1049	14	marginal	marginal	ADJ
ejpam-797	1049	15	part	part	NOUN
ejpam-797	1049	16	based	base	VERB
ejpam-797	1049	17	on	on	ADP
ejpam-797	1049	18	(	(	PUNCT
ejpam-797	1049	19	114	114	NUM
ejpam-797	1049	20	)	)	PUNCT
ejpam-797	1049	21	and	and	CCONJ
ejpam-797	1049	22	a	a	DET
ejpam-797	1049	23	factor	factor	NOUN
ejpam-797	1049	24	based	base	VERB
ejpam-797	1049	25	on	on	ADP
ejpam-797	1049	26	the	the	DET
ejpam-797	1049	27	(	(	PUNCT
ejpam-797	1049	28	113	113	NUM
ejpam-797	1049	29	)	)	PUNCT
ejpam-797	1049	30	conditional	conditional	ADJ
ejpam-797	1049	31	on	on	ADP
ejpam-797	1049	32	(	(	PUNCT
ejpam-797	1049	33	114	114	NUM
ejpam-797	1049	34	)	)	PUNCT
ejpam-797	1049	35	:	:	PUNCT
ejpam-797	1049	36	(	(	PUNCT
ejpam-797	1049	37	)	)	PUNCT
ejpam-797	1049	38	0	0	NUM
ejpam-797	1049	39	1	1	NUM
ejpam-797	1049	40	1	1	NUM
ejpam-797	1049	41	0	0	NUM
ejpam-797	1049	42	2	2	NUM
ejpam-797	1049	43	1	1	NUM
ejpam-797	1049	44	ˆ	ˆ	NOUN
ejpam-797	1049	45	ˆt	ˆt	ADP
ejpam-797	1049	46	t	t	PROPN
ejpam-797	1049	47	t	t	PROPN
ejpam-797	1049	48	t	t	PROPN
ejpam-797	1049	49	t	t	X
ejpam-797	1049	50	ta	ta	ADP
ejpam-797	1049	51	r	r	NOUN
ejpam-797	1049	52	h	h	NOUN
ejpam-797	1049	53	r	r	NOUN
ejpam-797	1049	54	a	a	DET
ejpam-797	1049	55	r	r	NOUN
ejpam-797	1049	56	h	h	NOUN
ejpam-797	1049	57	r	r	NOUN
ejpam-797	1049	58	a	a	DET
ejpam-797	1049	59	aφ	aφ	NOUN
ejpam-797	1049	60	ω	ω	PROPN
ejpam-797	1049	61	ψφ	ψφ	ADP
ejpam-797	1049	62	ε	ε	PROPN
ejpam-797	1049	63	ω	ω	NUM
ejpam-797	1049	64	ε⊥	ε⊥	PROPN
ejpam-797	1049	65	⊥′	⊥′	PROPN
ejpam-797	1049	66	′	′	NUM
ejpam-797	1050	1	′	′	NUM
ejpam-797	1051	1	′	′	NUM
ejpam-797	1052	1	′	′	NUM
ejpam-797	1053	1	′	′	NUM
ejpam-797	1054	1	′	′	NUM
ejpam-797	1054	2	′=	′=	PROPN
ejpam-797	1055	1	+	+	CCONJ
ejpam-797	1056	1	−	−	PROPN
ejpam-797	1056	2	+	+	CCONJ
ejpam-797	1056	3	−	−	PROPN
ejpam-797	1056	4	(	(	PUNCT
ejpam-797	1056	5	115	115	NUM
ejpam-797	1056	6	)	)	PUNCT
ejpam-797	1056	7	where	where	SCONJ
ejpam-797	1056	8	(	(	PUNCT
ejpam-797	1056	9	)	)	PUNCT
ejpam-797	1056	10	11	11	NUM
ejpam-797	1056	11	aa	aa	NOUN
ejpam-797	1057	1	a	a	DET
ejpam-797	1057	2	a	a	DET
ejpam-797	1057	3	a	a	DET
ejpam-797	1057	4	a	a	DET
ejpam-797	1057	5	a	a	PRON
ejpam-797	1057	6	aω	aω	NOUN
ejpam-797	1057	7	⊥	⊥	PROPN
ejpam-797	1057	8	⊥	⊥	X
ejpam-797	1057	9	⊥	⊥	PROPN
ejpam-797	1057	10	−−	−−	NOUN
ejpam-797	1057	11	⊥	⊥	PROPN
ejpam-797	1057	12	⊥	⊥	ADJ
ejpam-797	1057	13	⊥′	⊥′	PROPN
ejpam-797	1057	14	′=	′=	PROPN
ejpam-797	1057	15	ω	ω	PROPN
ejpam-797	1057	16	ω	ω	PROPN
ejpam-797	1057	17	=	=	PROPN
ejpam-797	1057	18	ω	ω	PROPN
ejpam-797	1057	19	ω	ω	PROPN
ejpam-797	1057	20	.	.	PUNCT
ejpam-797	1058	1	the	the	DET
ejpam-797	1058	2	parameters	parameter	NOUN
ejpam-797	1058	3	in	in	ADP
ejpam-797	1058	4	(	(	PUNCT
ejpam-797	1058	5	115	115	NUM
ejpam-797	1058	6	)	)	PUNCT
ejpam-797	1058	7	are	be	AUX
ejpam-797	1058	8	variation	variation	NOUN
ejpam-797	1058	9	independent	independent	ADJ
ejpam-797	1058	10	of	of	ADP
ejpam-797	1058	11	(	(	PUNCT
ejpam-797	1058	12	114	114	NUM
ejpam-797	1058	13	)	)	PUNCT
ejpam-797	1058	14	with	with	ADP
ejpam-797	1058	15	independent	independent	ADJ
ejpam-797	1058	16	errors	error	NOUN
ejpam-797	1058	17	.	.	PUNCT
ejpam-797	1059	1	to	to	PART
ejpam-797	1059	2	maximize	maximize	VERB
ejpam-797	1059	3	the	the	DET
ejpam-797	1059	4	likelihood	likelihood	NOUN
ejpam-797	1059	5	for	for	ADP
ejpam-797	1059	6	the	the	DET
ejpam-797	1059	7	marginal	marginal	ADJ
ejpam-797	1059	8	distribution	distribution	NOUN
ejpam-797	1059	9	,	,	PUNCT
ejpam-797	1059	10	first	first	ADJ
ejpam-797	1059	11	one	one	NUM
ejpam-797	1059	12	fixes	fix	NOUN
ejpam-797	1059	13	(	(	PUNCT
ejpam-797	1059	14	)	)	PUNCT
ejpam-797	1059	15	(	(	PUNCT
ejpam-797	1059	16	)	)	PUNCT
ejpam-797	1059	17	1	1	NUM
ejpam-797	1059	18	1	1	NUM
ejpam-797	1059	19	2	2	NUM
ejpam-797	1059	20	0	0	NUM
ejpam-797	1059	21	1	1	NUM
ejpam-797	1059	22	1ˆ	1ˆ	NOUN
ejpam-797	1059	23	,	,	PUNCT
ejpam-797	1059	24	,	,	PUNCT
ejpam-797	1059	25	k	k	PROPN
ejpam-797	1059	26	k	k	PROPN
ejpam-797	1059	27	kka	kka	PROPN
ejpam-797	1059	28	s	s	PROPN
ejpam-797	1059	29	h	h	NOUN
ejpam-797	1059	30	s	s	VERB
ejpam-797	1059	31	sω	sω	PRON
ejpam-797	1059	32	ϕ	ϕ	PROPN
ejpam-797	1059	33	ϕ	ϕ	X
ejpam-797	1059	34	ψ	ψ	X
ejpam-797	1059	35	ϕ	ϕ	X
ejpam-797	1059	36	−′	−′	NUM
ejpam-797	1059	37	′	′	NUM
ejpam-797	1059	38	′=	′=	PROPN
ejpam-797	1059	39	−	−	PROPN
ejpam-797	1059	40	in	in	ADP
ejpam-797	1059	41	(	(	PUNCT
ejpam-797	1059	42	114	114	NUM
ejpam-797	1059	43	)	)	PUNCT
ejpam-797	1059	44	and	and	CCONJ
ejpam-797	1059	45	estimates	estimate	VERB
ejpam-797	1059	46	ψ	ψ	VERB
ejpam-797	1059	47	by	by	ADP
ejpam-797	1059	48	regression	regression	NOUN
ejpam-797	1059	49	,	,	PUNCT
ejpam-797	1059	50	giving	give	VERB
ejpam-797	1059	51	(	(	PUNCT
ejpam-797	1059	52	)	)	PUNCT
ejpam-797	1059	53	1	1	NUM
ejpam-797	1059	54	01	01	NUM
ejpam-797	1059	55	2	2	NUM
ejpam-797	1059	56	2	2	NUM
ejpam-797	1059	57	11	11	NUM
ejpam-797	1059	58	2ˆ	2ˆ	NOUN
ejpam-797	1060	1	a	a	DET
ejpam-797	1060	2	s	s	NOUN
ejpam-797	1060	3	h	h	NOUN
ejpam-797	1060	4	h	h	NOUN
ejpam-797	1060	5	s	s	PROPN
ejpam-797	1060	6	hψ	hψ	PROPN
ejpam-797	1060	7	φ	φ	PROPN
ejpam-797	1060	8	φ	φ	PROPN
ejpam-797	1060	9	φ	φ	PROPN
ejpam-797	1060	10	−	−	PROPN
ejpam-797	1060	11	⊥′	⊥′	PROPN
ejpam-797	1060	12	′	′	NUM
ejpam-797	1060	13	′=	′=	PROPN
ejpam-797	1060	14	(	(	PUNCT
ejpam-797	1060	15	116	116	NUM
ejpam-797	1060	16	)	)	PUNCT
ejpam-797	1060	17	and	and	CCONJ
ejpam-797	1060	18	(	(	PUNCT
ejpam-797	1060	19	)	)	PUNCT
ejpam-797	1060	20	1	1	NUM
ejpam-797	1060	21	0	0	NUM
ejpam-797	1060	22	01	01	NUM
ejpam-797	1060	23	2	2	NUM
ejpam-797	1060	24	2	2	NUM
ejpam-797	1060	25	11	11	NUM
ejpam-797	1060	26	2	2	NUM
ejpam-797	1060	27	2	2	NUM
ejpam-797	1060	28	1t̂	1t̂	NUM
ejpam-797	1060	29	t	t	NOUN
ejpam-797	1060	30	ta	ta	ADP
ejpam-797	1060	31	a	a	DET
ejpam-797	1060	32	r	r	NOUN
ejpam-797	1060	33	a	a	DET
ejpam-797	1060	34	s	s	NOUN
ejpam-797	1060	35	h	h	NOUN
ejpam-797	1060	36	h	h	NOUN
ejpam-797	1060	37	s	s	NOUN
ejpam-797	1060	38	h	h	NOUN
ejpam-797	1060	39	h	h	NOUN
ejpam-797	1060	40	rε	rε	PROPN
ejpam-797	1060	41	φ	φ	PROPN
ejpam-797	1060	42	φ	φ	PROPN
ejpam-797	1060	43	φ	φ	PROPN
ejpam-797	1060	44	φ−	φ−	PROPN
ejpam-797	1060	45	⊥	⊥	PROPN
ejpam-797	1060	46	⊥	⊥	NUM
ejpam-797	1060	47	⊥′	⊥′	PROPN
ejpam-797	1060	48	′	′	NUM
ejpam-797	1060	49	′	′	NUM
ejpam-797	1061	1	′	′	NUM
ejpam-797	1062	1	′	′	NUM
ejpam-797	1063	1	′	′	NUM
ejpam-797	1064	1	′=	′=	PROPN
ejpam-797	1064	2	−	−	PROPN
ejpam-797	1065	1	(	(	PUNCT
ejpam-797	1065	2	117	117	NUM
ejpam-797	1065	3	)	)	PUNCT
ejpam-797	1065	4	which	which	PRON
ejpam-797	1065	5	gives	give	VERB
ejpam-797	1065	6	the	the	DET
ejpam-797	1065	7	maximum	maximum	ADJ
ejpam-797	1065	8	likelihood	likelihood	NOUN
ejpam-797	1065	9	estimator	estimator	NOUN
ejpam-797	1065	10	for	for	ADP
ejpam-797	1065	11	a	a	DET
ejpam-797	1065	12	a	a	DET
ejpam-797	1065	13	a	a	DET
ejpam-797	1065	14	a	a	DET
ejpam-797	1065	15	⊥	⊥	PROPN
ejpam-797	1065	16	⊥	⊥	NOUN
ejpam-797	1065	17	⊥	⊥	NOUN
ejpam-797	1065	18	⊥′ω	⊥′ω	ADP
ejpam-797	1065	19	=	=	SYM
ejpam-797	1065	20	ω	ω	PROPN
ejpam-797	1065	21	,	,	PUNCT
ejpam-797	1065	22	(	(	PUNCT
ejpam-797	1065	23	)	)	PUNCT
ejpam-797	1066	1	1	1	NUM
ejpam-797	1066	2	00	00	NUM
ejpam-797	1066	3	01	01	NUM
ejpam-797	1066	4	2	2	NUM
ejpam-797	1066	5	2	2	NUM
ejpam-797	1066	6	11	11	NUM
ejpam-797	1066	7	2	2	NUM
ejpam-797	1066	8	2	2	NUM
ejpam-797	1066	9	10	10	NUM
ejpam-797	1066	10	ˆ	ˆ	NOUN
ejpam-797	1066	11	a	a	DET
ejpam-797	1066	12	a	a	DET
ejpam-797	1066	13	a	a	PRON
ejpam-797	1066	14	s	s	NOUN
ejpam-797	1066	15	a	a	DET
ejpam-797	1066	16	a	a	DET
ejpam-797	1066	17	s	s	NOUN
ejpam-797	1066	18	h	h	NOUN
ejpam-797	1066	19	h	h	NOUN
ejpam-797	1066	20	s	s	NOUN
ejpam-797	1066	21	h	h	NOUN
ejpam-797	1066	22	h	h	NOUN
ejpam-797	1066	23	s	s	PROPN
ejpam-797	1066	24	aφ	aφ	VERB
ejpam-797	1066	25	φ	φ	PROPN
ejpam-797	1066	26	φ	φ	PROPN
ejpam-797	1066	27	φ	φ	PROPN
ejpam-797	1066	28	⊥	⊥	PROPN
ejpam-797	1067	1	⊥	⊥	PROPN
ejpam-797	1067	2	−	−	PROPN
ejpam-797	1067	3	⊥	⊥	PROPN
ejpam-797	1067	4	⊥	⊥	PROPN
ejpam-797	1067	5	⊥	⊥	X
ejpam-797	1067	6	⊥′	⊥′	PROPN
ejpam-797	1068	1	′	′	NUM
ejpam-797	1068	2	′	′	NUM
ejpam-797	1069	1	′	′	NUM
ejpam-797	1069	2	′	′	NUM
ejpam-797	1070	1	′ω	′ω	VERB
ejpam-797	1070	2	=	=	NOUN
ejpam-797	1070	3	−	−	PROPN
ejpam-797	1070	4	.	.	PUNCT
ejpam-797	1071	1	(	(	PUNCT
ejpam-797	1071	2	118	118	NUM
ejpam-797	1071	3	)	)	PUNCT
ejpam-797	1071	4	the	the	DET
ejpam-797	1071	5	contribution	contribution	NOUN
ejpam-797	1071	6	of	of	ADP
ejpam-797	1071	7	the	the	DET
ejpam-797	1071	8	marginal	marginal	ADJ
ejpam-797	1071	9	distribution	distribution	NOUN
ejpam-797	1071	10	,	,	PUNCT
ejpam-797	1071	11	apart	apart	ADV
ejpam-797	1071	12	from	from	ADP
ejpam-797	1071	13	a	a	DET
ejpam-797	1071	14	constant	constant	ADJ
ejpam-797	1071	15	,	,	PUNCT
ejpam-797	1071	16	is	be	AUX
ejpam-797	1071	17	(	(	PUNCT
ejpam-797	1071	18	)	)	PUNCT
ejpam-797	1071	19	1	1	NUM
ejpam-797	1071	20	00	00	NUM
ejpam-797	1071	21	01	01	NUM
ejpam-797	1071	22	2	2	NUM
ejpam-797	1071	23	2	2	NUM
ejpam-797	1071	24	11	11	NUM
ejpam-797	1071	25	2	2	NUM
ejpam-797	1071	26	2	2	NUM
ejpam-797	1071	27	102	102	NUM
ejpam-797	1071	28	max	max	PROPN
ejpam-797	1071	29	t	t	PROPN
ejpam-797	1071	30	m	m	VERB
ejpam-797	1071	31	a	a	DET
ejpam-797	1071	32	s	s	X
ejpam-797	1071	33	a	a	DET
ejpam-797	1071	34	a	a	DET
ejpam-797	1071	35	s	s	NOUN
ejpam-797	1071	36	h	h	NOUN
ejpam-797	1071	37	h	h	NOUN
ejpam-797	1071	38	s	s	NOUN
ejpam-797	1072	1	h	h	NOUN
ejpam-797	1073	1	h	h	NOUN
ejpam-797	1073	2	s	s	VERB
ejpam-797	1073	3	a	a	DET
ejpam-797	1073	4	l	l	NOUN
ejpam-797	1073	5	a	a	PRON
ejpam-797	1073	6	a	a	DET
ejpam-797	1073	7	φ	φ	PROPN
ejpam-797	1073	8	φ	φ	PROPN
ejpam-797	1073	9	φ	φ	PROPN
ejpam-797	1073	10	φ−	φ−	PROPN
ejpam-797	1073	11	⊥	⊥	PROPN
ejpam-797	1073	12	⊥	⊥	PROPN
ejpam-797	1073	13	⊥	⊥	X
ejpam-797	1073	14	⊥−	⊥−	NOUN
ejpam-797	1074	1	⊥	⊥	X
ejpam-797	1074	2	⊥	⊥	NOUN
ejpam-797	1074	3	′	′	NUM
ejpam-797	1074	4	′	′	NUM
ejpam-797	1075	1	′	′	NUM
ejpam-797	1076	1	′	′	NUM
ejpam-797	1077	1	′	′	NUM
ejpam-797	1078	1	′−	′−	NOUN
ejpam-797	1079	1	=	=	PUNCT
ejpam-797	1080	1	′	′	NUM
ejpam-797	1081	1	(	(	PUNCT
ejpam-797	1081	2	119	119	NUM
ejpam-797	1081	3	)	)	PUNCT
ejpam-797	1081	4	(	(	PUNCT
ejpam-797	1081	5	)	)	PUNCT
ejpam-797	1081	6	1	1	NUM
ejpam-797	1081	7	2	2	NUM
ejpam-797	1081	8	11	11	NUM
ejpam-797	1081	9	2	2	NUM
ejpam-797	1081	10	2	2	NUM
ejpam-797	1081	11	10	10	NUM
ejpam-797	1081	12	00	00	NUM
ejpam-797	1081	13	01	01	NUM
ejpam-797	1081	14	200	200	NUM
ejpam-797	1081	15	2	2	NUM
ejpam-797	1081	16	11	11	NUM
ejpam-797	1081	17	2	2	NUM
ejpam-797	1081	18	h	h	NOUN
ejpam-797	1081	19	s	s	AUX
ejpam-797	1081	20	h	h	NOUN
ejpam-797	1081	21	h	h	NOUN
ejpam-797	1081	22	s	s	VERB
ejpam-797	1081	23	a	a	PRON
ejpam-797	1081	24	a	a	DET
ejpam-797	1081	25	s	s	NOUN
ejpam-797	1081	26	a	a	DET
ejpam-797	1081	27	a	a	PRON
ejpam-797	1081	28	s	s	X
ejpam-797	1081	29	ha	ha	INTJ
ejpam-797	1081	30	s	s	VERB
ejpam-797	1081	31	a	a	DET
ejpam-797	1081	32	a	a	DET
ejpam-797	1081	33	a	a	DET
ejpam-797	1081	34	h	h	NOUN
ejpam-797	1081	35	s	s	NOUN
ejpam-797	1082	1	h	h	NOUN
ejpam-797	1083	1	φ	φ	PROPN
ejpam-797	1083	2	φ	φ	PROPN
ejpam-797	1083	3	φ	φ	PROPN
ejpam-797	1083	4	φ	φ	PROPN
ejpam-797	1083	5	φ	φ	PROPN
ejpam-797	1083	6	φ	φ	PROPN
ejpam-797	1083	7	−	−	PROPN
ejpam-797	1084	1	⊥	⊥	PROPN
ejpam-797	1084	2	⊥	⊥	PROPN
ejpam-797	1084	3	⊥	⊥	NUM
ejpam-797	1084	4	⊥⊥	⊥⊥	PROPN
ejpam-797	1084	5	⊥	⊥	PROPN
ejpam-797	1084	6	⊥	⊥	X
ejpam-797	1084	7	⊥	⊥	NUM
ejpam-797	1084	8	′	′	NUM
ejpam-797	1085	1	′	′	NUM
ejpam-797	1086	1	′	′	NUM
ejpam-797	1087	1	′	′	NUM
ejpam-797	1088	1	′	′	NUM
ejpam-797	1088	2	′−′	′−′	NOUN
ejpam-797	1088	3	=	=	NOUN
ejpam-797	1088	4	′	′	NUM
ejpam-797	1089	1	′	′	NUM
ejpam-797	1089	2	′	′	NUM
ejpam-797	1089	3	.	.	PUNCT
ejpam-797	1090	1	(	(	PUNCT
ejpam-797	1090	2	120	120	NUM
ejpam-797	1090	3	)	)	PUNCT
ejpam-797	1090	4	one	one	NOUN
ejpam-797	1090	5	maximizes	maximize	VERB
ejpam-797	1090	6	the	the	DET
ejpam-797	1090	7	factor	factor	NOUN
ejpam-797	1090	8	of	of	ADP
ejpam-797	1090	9	the	the	DET
ejpam-797	1090	10	marginal	marginal	ADJ
ejpam-797	1090	11	contribution	contribution	NOUN
ejpam-797	1090	12	by	by	ADP
ejpam-797	1090	13	minimizing	minimize	VERB
ejpam-797	1090	14	the	the	DET
ejpam-797	1090	15	second	second	ADJ
ejpam-797	1090	16	factor	factor	NOUN
ejpam-797	1090	17	in	in	ADP
ejpam-797	1090	18	(	(	PUNCT
ejpam-797	1090	19	120	120	NUM
ejpam-797	1090	20	)	)	PUNCT
ejpam-797	1090	21	with	with	ADP
ejpam-797	1090	22	respect	respect	NOUN
ejpam-797	1090	23	to	to	ADP
ejpam-797	1090	24	the	the	DET
ejpam-797	1090	25	unknown	unknown	ADJ
ejpam-797	1090	26	parameter	parameter	NOUN
ejpam-797	1090	27	matrix	matrix	NOUN
ejpam-797	1090	28	(	(	PUNCT
ejpam-797	1090	29	)	)	PUNCT
ejpam-797	1090	30	(	(	PUNCT
ejpam-797	1090	31	)	)	PUNCT
ejpam-797	1090	32	1	1	NUM
ejpam-797	1090	33	1	1	NUM
ejpam-797	1090	34	2	2	NUM
ejpam-797	1090	35	0	0	NUM
ejpam-797	1090	36	1	1	NUM
ejpam-797	1090	37	1ˆ	1ˆ	NOUN
ejpam-797	1090	38	,	,	PUNCT
ejpam-797	1090	39	,	,	PUNCT
ejpam-797	1091	1	k	k	PROPN
ejpam-797	1091	2	k	k	PROPN
ejpam-797	1091	3	kka	kka	PROPN
ejpam-797	1091	4	s	s	PROPN
ejpam-797	1091	5	h	h	NOUN
ejpam-797	1091	6	s	s	VERB
ejpam-797	1091	7	sω	sω	PRON
ejpam-797	1091	8	ϕ	ϕ	PROPN
ejpam-797	1091	9	ϕ	ϕ	X
ejpam-797	1091	10	ψ	ψ	X
ejpam-797	1091	11	ϕ	ϕ	X
ejpam-797	1091	12	−′	−′	NUM
ejpam-797	1091	13	′	′	NUM
ejpam-797	1091	14	′=	′=	PROPN
ejpam-797	1091	15	−	−	PROPN
ejpam-797	1091	16	.	.	PUNCT
ejpam-797	1092	1	this	this	PRON
ejpam-797	1092	2	is	be	AUX
ejpam-797	1092	3	done	do	VERB
ejpam-797	1092	4	by	by	ADP
ejpam-797	1092	5	solving	solve	VERB
ejpam-797	1092	6	the	the	DET
ejpam-797	1092	7	eigenvalue	eigenvalue	PROPN
ejpam-797	1092	8	problem	problem	NOUN
ejpam-797	1092	9	(	(	PUNCT
ejpam-797	1092	10	)	)	PUNCT
ejpam-797	1092	11	1	1	NUM
ejpam-797	1092	12	11	11	NUM
ejpam-797	1092	13	10	10	NUM
ejpam-797	1092	14	00	00	NUM
ejpam-797	1092	15	01	01	NUM
ejpam-797	1092	16	0h	0h	PROPN
ejpam-797	1092	17	s	s	PROPN
ejpam-797	1092	18	h	h	NOUN
ejpam-797	1092	19	h	h	NOUN
ejpam-797	1092	20	s	s	VERB
ejpam-797	1092	21	a	a	PRON
ejpam-797	1092	22	a	a	DET
ejpam-797	1092	23	s	s	NOUN
ejpam-797	1092	24	a	a	DET
ejpam-797	1092	25	a	a	DET
ejpam-797	1092	26	s	s	NOUN
ejpam-797	1092	27	hλ	hλ	NOUN
ejpam-797	1092	28	−	−	PROPN
ejpam-797	1092	29	⊥	⊥	PROPN
ejpam-797	1092	30	⊥	⊥	PROPN
ejpam-797	1092	31	⊥	⊥	X
ejpam-797	1092	32	⊥′	⊥′	PROPN
ejpam-797	1092	33	′	′	NUM
ejpam-797	1092	34	′	′	NUM
ejpam-797	1092	35	′−	′−	PROPN
ejpam-797	1092	36	=	=	PUNCT
ejpam-797	1092	37	(	(	PUNCT
ejpam-797	1092	38	121	121	NUM
ejpam-797	1092	39	)	)	PUNCT
ejpam-797	1092	40	references	reference	NOUN
ejpam-797	1092	41	566	566	NUM
ejpam-797	1092	42	for	for	ADP
ejpam-797	1092	43	eigenvalues	eigenvalue	NOUN
ejpam-797	1092	44	11	11	NUM
ejpam-797	1092	45	0sλ	0sλ	NOUN
ejpam-797	1092	46	λ≥	λ≥	ADP
ejpam-797	1092	47	≥	≥	NUM
ejpam-797	1092	48	≥	≥	NOUN
ejpam-797	1092	49	≥	≥	PROPN
ejpam-797	1092	50			NOUN
ejpam-797	1093	1			NUM
ejpam-797	1093	2	and	and	CCONJ
ejpam-797	1093	3	corresponding	corresponding	ADJ
ejpam-797	1093	4	eigenvectors	eigenvector	NOUN
ejpam-797	1093	5	(	(	PUNCT
ejpam-797	1093	6	)	)	PUNCT
ejpam-797	1093	7	1	1	NUM
ejpam-797	1093	8	,	,	PUNCT
ejpam-797	1093	9	,	,	PUNCT
ejpam-797	1093	10	sv	sv	PROPN
ejpam-797	1093	11	v	v	PROPN
ejpam-797	1093	12	v=	v=	PROPN
ejpam-797	1093	13			X
ejpam-797	1093	14			X
ejpam-797	1093	15			PROPN
ejpam-797	1093	16	,	,	PUNCT
ejpam-797	1093	17	normalized	normalize	VERB
ejpam-797	1093	18	so	so	SCONJ
ejpam-797	1093	19	that	that	SCONJ
ejpam-797	1093	20	11	11	NUM
ejpam-797	1093	21	sv	sv	INTJ
ejpam-797	1093	22	h	h	PROPN
ejpam-797	1093	23	s	s	PROPN
ejpam-797	1093	24	hv	hv	PROPN
ejpam-797	1093	25	i′	i′	NOUN
ejpam-797	1093	26	′	′	NOUN
ejpam-797	1094	1	=	=	SYM
ejpam-797	1094	2			X
ejpam-797	1094	3			NOUN
ejpam-797	1094	4	.	.	PUNCT
ejpam-797	1095	1	this	this	PRON
ejpam-797	1095	2	implies	imply	VERB
ejpam-797	1095	3	the	the	DET
ejpam-797	1095	4	maximand	maximand	NOUN
ejpam-797	1095	5	of	of	ADP
ejpam-797	1095	6	the	the	DET
ejpam-797	1095	7	marginal	marginal	ADJ
ejpam-797	1095	8	distribution	distribution	NOUN
ejpam-797	1095	9	of	of	ADP
ejpam-797	1095	10	the	the	DET
ejpam-797	1095	11	likelihood	likelihood	NOUN
ejpam-797	1095	12	function	function	NOUN
ejpam-797	1095	13	is	be	AUX
ejpam-797	1095	14	(	(	PUNCT
ejpam-797	1095	15	)	)	SYM
ejpam-797	1095	16	2	2	NUM
ejpam-797	1095	17	1	1	NUM
ejpam-797	1095	18	ˆ	ˆ	NOUN
ejpam-797	1095	19	,	,	PUNCT
ejpam-797	1095	20	,	,	PUNCT
ejpam-797	1095	21	r	r	NOUN
ejpam-797	1095	22	mv	mv	PROPN
ejpam-797	1095	23	vφ	vφ	PROPN
ejpam-797	1095	24	−=	−=	X
ejpam-797	1095	25			X
ejpam-797	1095	26			PROPN
ejpam-797	1095	27			PROPN
ejpam-797	1095	28	,	,	PUNCT
ejpam-797	1095	29	from	from	ADP
ejpam-797	1095	30	which	which	PRON
ejpam-797	1095	31	one	one	NOUN
ejpam-797	1095	32	then	then	ADV
ejpam-797	1095	33	can	can	AUX
ejpam-797	1095	34	recover	recover	VERB
ejpam-797	1095	35	the	the	DET
ejpam-797	1095	36	parameters	parameter	NOUN
ejpam-797	1095	37	(	(	PUNCT
ejpam-797	1095	38	40	40	NUM
ejpam-797	1095	39	)	)	PUNCT
ejpam-797	1095	40	to	to	ADP
ejpam-797	1095	41	(	(	PUNCT
ejpam-797	1095	42	42	42	NUM
ejpam-797	1095	43	)	)	PUNCT
ejpam-797	1095	44	,	,	PUNCT
ejpam-797	1095	45	and	and	CCONJ
ejpam-797	1095	46	the	the	DET
ejpam-797	1095	47	maximized	maximized	ADJ
ejpam-797	1095	48	contribution	contribution	NOUN
ejpam-797	1095	49	is	be	AUX
ejpam-797	1095	50	(	(	PUNCT
ejpam-797	1095	51	)	)	PUNCT
ejpam-797	1095	52	002	002	NUM
ejpam-797	1095	53	max	max	NOUN
ejpam-797	1095	54	1	1	NUM
ejpam-797	1095	55	1	1	NUM
ejpam-797	1095	56	r	r	NOUN
ejpam-797	1095	57	m	m	VERB
ejpam-797	1095	58	t	t	NOUN
ejpam-797	1095	59	m	m	VERB
ejpam-797	1095	60	i	i	PRON
ejpam-797	1095	61	i	i	PRON
ejpam-797	1095	62	a	a	PRON
ejpam-797	1095	63	s	s	X
ejpam-797	1095	64	a	a	DET
ejpam-797	1095	65	l	l	NOUN
ejpam-797	1095	66	a	a	DET
ejpam-797	1095	67	a	a	DET
ejpam-797	1095	68	λ	λ	NOUN
ejpam-797	1095	69	−	−	PROPN
ejpam-797	1095	70	⊥	⊥	NOUN
ejpam-797	1095	71	⊥−	⊥−	NOUN
ejpam-797	1096	1	=	=	SYM
ejpam-797	1096	2	⊥	⊥	PROPN
ejpam-797	1096	3	⊥	⊥	NOUN
ejpam-797	1096	4	′	′	NUM
ejpam-797	1097	1	=	=	PUNCT
ejpam-797	1097	2	−	−	PROPN
ejpam-797	1097	3	′	′	NUM
ejpam-797	1097	4	∏	∏	NUM
ejpam-797	1097	5			NOUN
ejpam-797	1097	6	.	.	PUNCT
ejpam-797	1098	1	(	(	PUNCT
ejpam-797	1098	2	122	122	NUM
ejpam-797	1098	3	)	)	PUNCT
ejpam-797	1098	4	to	to	PART
ejpam-797	1098	5	calculate	calculate	VERB
ejpam-797	1098	6	the	the	DET
ejpam-797	1098	7	conditional	conditional	ADJ
ejpam-797	1098	8	distribution	distribution	NOUN
ejpam-797	1098	9	,	,	PUNCT
ejpam-797	1098	10	given	give	VERB
ejpam-797	1098	11	1φ	1φ	PROPN
ejpam-797	1098	12	,	,	PUNCT
ejpam-797	1098	13	2̂φ	2̂φ	NUM
ejpam-797	1098	14	,	,	PUNCT
ejpam-797	1098	15	and	and	CCONJ
ejpam-797	1098	16	ψ̂	ψ̂	ADV
ejpam-797	1098	17	,	,	PUNCT
ejpam-797	1098	18	one	one	PRON
ejpam-797	1098	19	regresses	regress	VERB
ejpam-797	1098	20	0	0	NUM
ejpam-797	1098	21	1	1	NUM
ejpam-797	1098	22	1	1	NUM
ejpam-797	1098	23	t	t	NOUN
ejpam-797	1098	24	ta	ta	NOUN
ejpam-797	1098	25	r	r	NOUN
ejpam-797	1098	26	h	h	NOUN
ejpam-797	1098	27	rφ′	rφ′	NOUN
ejpam-797	1098	28	′	′	NUM
ejpam-797	1098	29	′−	′−	NOUN
ejpam-797	1098	30	on	on	ADP
ejpam-797	1098	31	0	0	NUM
ejpam-797	1098	32	2	2	NUM
ejpam-797	1098	33	1	1	NUM
ejpam-797	1098	34	ˆˆkt	ˆˆkt	NOUN
ejpam-797	1098	35	t	t	NOUN
ejpam-797	1098	36	tr	tr	NOUN
ejpam-797	1098	37	a	a	DET
ejpam-797	1098	38	r	r	NOUN
ejpam-797	1098	39	h	h	NOUN
ejpam-797	1099	1	rψφ⊥′	rψφ⊥′	PROPN
ejpam-797	1099	2	′	′	NOUN
ejpam-797	1099	3	′=	′=	PROPN
ejpam-797	1099	4	−	−	PROPN
ejpam-797	1099	5	to	to	PART
ejpam-797	1099	6	estimate	estimate	VERB
ejpam-797	1099	7	(	(	PUNCT
ejpam-797	1099	8	)	)	PUNCT
ejpam-797	1099	9	(	(	PUNCT
ejpam-797	1099	10	)	)	PUNCT
ejpam-797	1099	11	1	1	NUM
ejpam-797	1099	12	1	1	NUM
ejpam-797	1099	13	2	2	NUM
ejpam-797	1099	14	0	0	NUM
ejpam-797	1099	15	1	1	NUM
ejpam-797	1099	16	1	1	NUM
ejpam-797	1099	17	ˆˆ	ˆˆ	NOUN
ejpam-797	1099	18	ˆ	ˆ	PROPN
ejpam-797	1099	19	,	,	PUNCT
ejpam-797	1099	20	,	,	PUNCT
ejpam-797	1099	21	k	k	PROPN
ejpam-797	1099	22	k	k	PROPN
ejpam-797	1099	23	kka	kka	PROPN
ejpam-797	1099	24	s	s	PROPN
ejpam-797	1099	25	h	h	NOUN
ejpam-797	1099	26	s	s	PROPN
ejpam-797	1099	27	sω	sω	PROPN
ejpam-797	1099	28	φ	φ	PROPN
ejpam-797	1099	29	φ	φ	PROPN
ejpam-797	1099	30	ψ	ψ	PROPN
ejpam-797	1099	31	φ	φ	PROPN
ejpam-797	1099	32	−	−	PROPN
ejpam-797	1099	33	⊥′	⊥′	PROPN
ejpam-797	1099	34	′	′	NUM
ejpam-797	1099	35	′=	′=	PROPN
ejpam-797	1099	36	−	−	PROPN
ejpam-797	1099	37	,	,	PUNCT
ejpam-797	1099	38	(	(	PUNCT
ejpam-797	1099	39	123	123	NUM
ejpam-797	1099	40	)	)	PUNCT
ejpam-797	1099	41	where	where	SCONJ
ejpam-797	1099	42	1	1	NUM
ejpam-797	1099	43	1	1	NUM
ejpam-797	1099	44	1	1	NUM
ejpam-797	1099	45	1	1	NUM
ejpam-797	1099	46	t	t	NOUN
ejpam-797	1099	47	k	k	PROPN
ejpam-797	1099	48	t	t	PROPN
ejpam-797	1099	49	kt	kt	PROPN
ejpam-797	1099	50	t	t	PROPN
ejpam-797	1099	51	s	s	PART
ejpam-797	1099	52	r	r	NOUN
ejpam-797	1099	53	r	r	NOUN
ejpam-797	1099	54	t	t	NOUN
ejpam-797	1099	55	=	=	PUNCT
ejpam-797	1099	56	′=	′=	PROPN
ejpam-797	1099	57	∑	∑	PUNCT
ejpam-797	1099	58	and	and	CCONJ
ejpam-797	1099	59	so	so	ADV
ejpam-797	1099	60	on	on	ADV
ejpam-797	1099	61	.	.	PUNCT
ejpam-797	1100	1	this	this	PRON
ejpam-797	1100	2	allows	allow	VERB
ejpam-797	1100	3	one	one	PRON
ejpam-797	1100	4	to	to	PART
ejpam-797	1100	5	correct	correct	VERB
ejpam-797	1100	6	for	for	ADP
ejpam-797	1100	7	ω	ω	PROPN
ejpam-797	1100	8	in	in	ADP
ejpam-797	1100	9	(	(	PUNCT
ejpam-797	1100	10	115	115	NUM
ejpam-797	1100	11	)	)	PUNCT
ejpam-797	1100	12	by	by	ADP
ejpam-797	1100	13	forming	form	VERB
ejpam-797	1100	14	new	new	ADJ
ejpam-797	1100	15	residual	residual	ADJ
ejpam-797	1100	16	vectors	vector	NOUN
ejpam-797	1100	17	1	1	NUM
ejpam-797	1100	18	.	.	PUNCT
ejpam-797	1100	19	,	,	PUNCT
ejpam-797	1100	20	0,1,it	0,1,it	NUM
ejpam-797	1101	1	k	k	X
ejpam-797	1102	1	it	it	PRON
ejpam-797	1102	2	ik	ik	PROPN
ejpam-797	1102	3	kk	kk	PROPN
ejpam-797	1102	4	ktr	ktr	PROPN
ejpam-797	1102	5	r	r	NOUN
ejpam-797	1102	6	s	s	NOUN
ejpam-797	1102	7	s	s	NOUN
ejpam-797	1102	8	r	r	NOUN
ejpam-797	1102	9	i	i	PRON
ejpam-797	1102	10	k−=	k−=	VERB
ejpam-797	1102	11	−	−	PROPN
ejpam-797	1102	12	=	=	SYM
ejpam-797	1102	13	(	(	PUNCT
ejpam-797	1102	14	124	124	NUM
ejpam-797	1102	15	)	)	PUNCT
ejpam-797	1102	16	and	and	CCONJ
ejpam-797	1102	17	product	product	NOUN
ejpam-797	1102	18	moment	moment	NOUN
ejpam-797	1102	19	matrices	matrix	NOUN
ejpam-797	1102	20	.	.	PUNCT
ejpam-797	1102	21	.	.	PUNCT
ejpam-797	1102	22	.	.	PUNCT
ejpam-797	1103	1	1	1	NUM
ejpam-797	1103	2	1	1	NUM
ejpam-797	1103	3	1	1	NUM
ejpam-797	1103	4	,	,	PUNCT
ejpam-797	1103	5	,	,	PUNCT
ejpam-797	1103	6	0,1	0,1	NUM
ejpam-797	1103	7	,	,	PUNCT
ejpam-797	1103	8	t	t	PROPN
ejpam-797	1104	1	ij	ij	INTJ
ejpam-797	1105	1	k	k	NOUN
ejpam-797	1106	1	it	it	PRON
ejpam-797	1107	1	k	k	PROPN
ejpam-797	1107	2	jt	jt	PROPN
ejpam-797	1107	3	k	k	PROPN
ejpam-797	1107	4	t	t	PROPN
ejpam-797	1107	5	ij	ij	X
ejpam-797	1108	1	ik	ik	PROPN
ejpam-797	1108	2	kk	kk	PROPN
ejpam-797	1108	3	kj	kj	PROPN
ejpam-797	1108	4	s	s	PROPN
ejpam-797	1108	5	r	r	NOUN
ejpam-797	1108	6	r	r	NOUN
ejpam-797	1108	7	t	t	NOUN
ejpam-797	1108	8	s	s	NOUN
ejpam-797	1108	9	s	s	NOUN
ejpam-797	1108	10	s	s	X
ejpam-797	1108	11	s	s	X
ejpam-797	1108	12	i	i	PRON
ejpam-797	1108	13	j	j	PROPN
ejpam-797	1108	14	k	k	NOUN
ejpam-797	1108	15	=	=	PUNCT
ejpam-797	1109	1	−	−	PROPN
ejpam-797	1109	2	′=	′=	NOUN
ejpam-797	1109	3	=	=	PUNCT
ejpam-797	1110	1	−	−	PROPN
ejpam-797	1110	2	=	=	PUNCT
ejpam-797	1110	3	∑	∑	PROPN
ejpam-797	1110	4	.	.	PUNCT
ejpam-797	1111	1	(	(	PUNCT
ejpam-797	1111	2	125	125	NUM
ejpam-797	1111	3	)	)	PUNCT
ejpam-797	1111	4	one	one	NOUN
ejpam-797	1111	5	can	can	AUX
ejpam-797	1111	6	then	then	ADV
ejpam-797	1111	7	write	write	VERB
ejpam-797	1111	8	(	(	PUNCT
ejpam-797	1111	9	115	115	NUM
ejpam-797	1111	10	)	)	PUNCT
ejpam-797	1111	11	as	as	ADP
ejpam-797	1111	12	0	0	NUM
ejpam-797	1111	13	.	.	PUNCT
ejpam-797	1112	1	1	1	NUM
ejpam-797	1112	2	1	1	NUM
ejpam-797	1112	3	.	.	PUNCT
ejpam-797	1113	1	ˆt	ˆt	INTJ
ejpam-797	1113	2	k	k	PROPN
ejpam-797	1113	3	t	t	PROPN
ejpam-797	1113	4	k	k	X
ejpam-797	1113	5	ta	ta	PROPN
ejpam-797	1113	6	r	r	NOUN
ejpam-797	1113	7	h	h	NOUN
ejpam-797	1113	8	r	r	NOUN
ejpam-797	1113	9	uφ′	uφ′	NOUN
ejpam-797	1113	10	′	′	NUM
ejpam-797	1113	11	′=	′=	PROPN
ejpam-797	1113	12	+	+	CCONJ
ejpam-797	1113	13	,	,	PUNCT
ejpam-797	1113	14	(	(	PUNCT
ejpam-797	1113	15	126	126	NUM
ejpam-797	1113	16	)	)	PUNCT
ejpam-797	1113	17	where	where	SCONJ
ejpam-797	1113	18	ˆ	ˆ	NOUN
ejpam-797	1113	19	ˆ	ˆ	ADJ
ejpam-797	1113	20	ˆˆt	ˆˆt	PROPN
ejpam-797	1113	21	t	t	PROPN
ejpam-797	1113	22	tu	tu	PROPN
ejpam-797	1113	23	a	a	DET
ejpam-797	1113	24	aε	aε	PROPN
ejpam-797	1113	25	ω	ω	NUM
ejpam-797	1113	26	ε⊥′	ε⊥′	PROPN
ejpam-797	1113	27	′=	′=	PROPN
ejpam-797	1113	28	−	−	PROPN
ejpam-797	1113	29	and	and	CCONJ
ejpam-797	1113	30	,	,	PUNCT
ejpam-797	1113	31	as	as	SCONJ
ejpam-797	1113	32	suggested	suggest	VERB
ejpam-797	1113	33	by	by	ADP
ejpam-797	1113	34	johansen	johansen	PROPN
ejpam-797	1113	35	[	[	X
ejpam-797	1113	36	20	20	NUM
ejpam-797	1113	37	]	]	PUNCT
ejpam-797	1113	38	,	,	PUNCT
ejpam-797	1113	39	estimate	estimate	VERB
ejpam-797	1113	40	1φ	1φ	NUM
ejpam-797	1113	41	by	by	ADP
ejpam-797	1113	42	regression	regression	NOUN
ejpam-797	1113	43	which	which	PRON
ejpam-797	1113	44	yields	yield	VERB
ejpam-797	1113	45	(	(	PUNCT
ejpam-797	1113	46	)	)	PUNCT
ejpam-797	1113	47	1	1	NUM
ejpam-797	1113	48	1	1	NUM
ejpam-797	1113	49	11	11	NUM
ejpam-797	1113	50	.	.	PUNCT
ejpam-797	1114	1	10	10	NUM
ejpam-797	1114	2	.	.	PUNCT
ejpam-797	1115	1	ˆ	ˆ	X
ejpam-797	1116	1	k	k	PROPN
ejpam-797	1116	2	kh	kh	PROPN
ejpam-797	1116	3	s	s	PROPN
ejpam-797	1116	4	h	h	NOUN
ejpam-797	1116	5	h	h	NOUN
ejpam-797	1116	6	s	s	NOUN
ejpam-797	1116	7	aφ	aφ	ADP
ejpam-797	1116	8	−′	−′	PROPN
ejpam-797	1116	9	′=	′=	PROPN
ejpam-797	1116	10	.	.	PUNCT
ejpam-797	1117	1	(	(	PUNCT
ejpam-797	1117	2	127	127	NUM
ejpam-797	1117	3	)	)	PUNCT
ejpam-797	1117	4	the	the	DET
ejpam-797	1117	5	factor	factor	NOUN
ejpam-797	1117	6	of	of	ADP
ejpam-797	1117	7	the	the	DET
ejpam-797	1117	8	maximized	maximized	ADJ
ejpam-797	1117	9	likelihood	likelihood	NOUN
ejpam-797	1117	10	corresponding	correspond	VERB
ejpam-797	1117	11	to	to	ADP
ejpam-797	1117	12	the	the	DET
ejpam-797	1117	13	conditional	conditional	ADJ
ejpam-797	1117	14	distribution	distribution	NOUN
ejpam-797	1117	15	is	be	AUX
ejpam-797	1117	16	,	,	PUNCT
ejpam-797	1117	17	apart	apart	ADV
ejpam-797	1117	18	from	from	ADP
ejpam-797	1117	19	a	a	DET
ejpam-797	1117	20	constant	constant	ADJ
ejpam-797	1117	21	,	,	PUNCT
ejpam-797	1117	22	.2	.2	NUM
ejpam-797	1117	23	max	max	PROPN
ejpam-797	1117	24	ˆ	ˆ	ADP
ejpam-797	1117	25	aa	aa	NOUN
ejpam-797	1117	26	at	at	ADP
ejpam-797	1117	27	cl	cl	NOUN
ejpam-797	1117	28	a	a	DET
ejpam-797	1117	29	a	a	DET
ejpam-797	1117	30	⊥−	⊥−	NOUN
ejpam-797	1117	31	ω	ω	NOUN
ejpam-797	1117	32	=	=	SYM
ejpam-797	1118	1	′	′	NUM
ejpam-797	1118	2	(	(	PUNCT
ejpam-797	1118	3	128	128	NUM
ejpam-797	1118	4	)	)	PUNCT
ejpam-797	1119	1	where	where	SCONJ
ejpam-797	1119	2	(	(	PUNCT
ejpam-797	1119	3	)	)	PUNCT
ejpam-797	1119	4	1	1	NUM
ejpam-797	1119	5	.	.	X
ejpam-797	1119	6	1	1	NUM
ejpam-797	1119	7	aa	aa	NOUN
ejpam-797	1119	8	a	a	DET
ejpam-797	1119	9	aa	aa	NOUN
ejpam-797	1119	10	aa	aa	INTJ
ejpam-797	1119	11	a	a	PRON
ejpam-797	1119	12	a	a	DET
ejpam-797	1119	13	a	a	DET
ejpam-797	1119	14	a	a	DET
ejpam-797	1119	15	a	a	DET
ejpam-797	1119	16	a	a	DET
ejpam-797	1119	17	a	a	DET
ejpam-797	1119	18	a	a	DET
ejpam-797	1119	19	a	a	DET
ejpam-797	1119	20	a	a	DET
ejpam-797	1119	21	a	a	DET
ejpam-797	1119	22	a	a	DET
ejpam-797	1119	23	⊥	⊥	PROPN
ejpam-797	1119	24	⊥	⊥	NOUN
ejpam-797	1119	25	⊥	⊥	PROPN
ejpam-797	1119	26	⊥	⊥	PROPN
ejpam-797	1119	27	⊥	⊥	NOUN
ejpam-797	1119	28	−	−	PROPN
ejpam-797	1119	29	−	−	PROPN
ejpam-797	1119	30	⊥	⊥	PROPN
ejpam-797	1119	31	⊥	⊥	PROPN
ejpam-797	1119	32	⊥	⊥	PROPN
ejpam-797	1119	33	⊥	⊥	PROPN
ejpam-797	1119	34	ω	ω	PROPN
ejpam-797	1119	35	=	=	SYM
ejpam-797	1119	36	ω	ω	PROPN
ejpam-797	1119	37	−	−	PROPN
ejpam-797	1119	38	ω	ω	NUM
ejpam-797	1119	39	ω	ω	PROPN
ejpam-797	1119	40	ω	ω	NOUN
ejpam-797	1119	41	′	′	NUM
ejpam-797	1120	1	′	′	NUM
ejpam-797	1121	1	′	′	NUM
ejpam-797	1122	1	′	′	NUM
ejpam-797	1122	2	′	′	NUM
ejpam-797	1123	1	′=	′=	PROPN
ejpam-797	1123	2	ω	ω	PROPN
ejpam-797	1123	3	−	−	PROPN
ejpam-797	1123	4	ω	ω	PROPN
ejpam-797	1123	5	ω	ω	PROPN
ejpam-797	1123	6	ω	ω	PROPN
ejpam-797	1123	7	.	.	PUNCT
ejpam-797	1124	1	(	(	PUNCT
ejpam-797	1124	2	129	129	NUM
ejpam-797	1124	3	)	)	PUNCT
ejpam-797	1124	4	the	the	DET
ejpam-797	1124	5	maximum	maximum	ADJ
ejpam-797	1124	6	likelihood	likelihood	NOUN
ejpam-797	1124	7	estimate	estimate	NOUN
ejpam-797	1124	8	of	of	ADP
ejpam-797	1124	9	the	the	DET
ejpam-797	1124	10	conditional	conditional	ADJ
ejpam-797	1124	11	variance	variance	NOUN
ejpam-797	1124	12	matrix	matrix	NOUN
ejpam-797	1124	13	is	be	AUX
ejpam-797	1124	14	(	(	PUNCT
ejpam-797	1124	15	)	)	PUNCT
ejpam-797	1124	16	.	.	PUNCT
ejpam-797	1125	1	1	1	NUM
ejpam-797	1125	2	1	1	NUM
ejpam-797	1125	3	00	00	NUM
ejpam-797	1125	4	.	.	PUNCT
ejpam-797	1126	1	01	01	NUM
ejpam-797	1126	2	.	.	NOUN
ejpam-797	1127	1	11	11	NUM
ejpam-797	1127	2	.	.	X
ejpam-797	1128	1	10	10	NUM
ejpam-797	1128	2	.	.	PUNCT
ejpam-797	1129	1	1ˆ	1ˆ	NOUN
ejpam-797	1129	2	ˆ	ˆ	NOUN
ejpam-797	1129	3	ˆ	ˆ	ADJ
ejpam-797	1129	4	t	t	NOUN
ejpam-797	1129	5	aa	aa	NOUN
ejpam-797	1129	6	a	a	DET
ejpam-797	1129	7	t	t	NOUN
ejpam-797	1129	8	t	t	NOUN
ejpam-797	1129	9	t	t	PROPN
ejpam-797	1129	10	k	k	PROPN
ejpam-797	1129	11	k	k	PROPN
ejpam-797	1129	12	k	k	PROPN
ejpam-797	1129	13	k	k	PROPN
ejpam-797	1129	14	u	u	X
ejpam-797	1129	15	u	u	X
ejpam-797	1129	16	t	t	PROPN
ejpam-797	1129	17	a	a	DET
ejpam-797	1129	18	s	s	X
ejpam-797	1129	19	a	a	DET
ejpam-797	1129	20	a	a	DET
ejpam-797	1129	21	s	s	NOUN
ejpam-797	1129	22	h	h	NOUN
ejpam-797	1129	23	h	h	NOUN
ejpam-797	1129	24	s	s	NOUN
ejpam-797	1129	25	h	h	NOUN
ejpam-797	1129	26	h	h	NOUN
ejpam-797	1129	27	s	s	VERB
ejpam-797	1129	28	a	a	PRON
ejpam-797	1129	29	⊥	⊥	NOUN
ejpam-797	1129	30	=	=	SYM
ejpam-797	1129	31	−	−	PROPN
ejpam-797	1130	1	′ω	′ω	NOUN
ejpam-797	1130	2	=	=	NOUN
ejpam-797	1130	3	′	′	NUM
ejpam-797	1131	1	′	′	NUM
ejpam-797	1131	2	′	′	NUM
ejpam-797	1132	1	′=	′=	PROPN
ejpam-797	1132	2	−	−	PROPN
ejpam-797	1133	1	∑	∑	PROPN
ejpam-797	1133	2	(	(	PUNCT
ejpam-797	1133	3	130	130	NUM
ejpam-797	1133	4	)	)	PUNCT
ejpam-797	1133	5	which	which	PRON
ejpam-797	1133	6	gives	give	VERB
ejpam-797	1133	7	,	,	PUNCT
ejpam-797	1133	8	apart	apart	ADV
ejpam-797	1133	9	from	from	ADP
ejpam-797	1133	10	a	a	DET
ejpam-797	1133	11	constant	constant	ADJ
ejpam-797	1133	12	,	,	PUNCT
ejpam-797	1133	13	the	the	DET
ejpam-797	1133	14	maximized	maximized	ADJ
ejpam-797	1133	15	likelihood	likelihood	NOUN
ejpam-797	1133	16	for	for	ADP
ejpam-797	1133	17	the	the	DET
ejpam-797	1133	18	conditional	conditional	ADJ
ejpam-797	1133	19	distribution	distribution	NOUN
ejpam-797	1133	20	as	as	ADP
ejpam-797	1133	21	references	reference	NOUN
ejpam-797	1133	22	567	567	NUM
ejpam-797	1133	23	(	(	PUNCT
ejpam-797	1133	24	)	)	PUNCT
ejpam-797	1133	25	1	1	NUM
ejpam-797	1133	26	00	00	NUM
ejpam-797	1133	27	.	.	PUNCT
ejpam-797	1134	1	01	01	NUM
ejpam-797	1134	2	.	.	PROPN
ejpam-797	1135	1	11	11	NUM
ejpam-797	1135	2	.	.	X
ejpam-797	1136	1	10.2	10.2	NUM
ejpam-797	1136	2	max	max	PROPN
ejpam-797	1136	3	k	k	PROPN
ejpam-797	1137	1	k	k	PROPN
ejpam-797	1137	2	k	k	PROPN
ejpam-797	1138	1	kt	kt	PROPN
ejpam-797	1138	2	c	c	PROPN
ejpam-797	1138	3	a	a	DET
ejpam-797	1138	4	s	s	X
ejpam-797	1138	5	a	a	DET
ejpam-797	1138	6	a	a	DET
ejpam-797	1138	7	s	s	NOUN
ejpam-797	1138	8	h	h	NOUN
ejpam-797	1138	9	h	h	NOUN
ejpam-797	1138	10	s	s	NOUN
ejpam-797	1139	1	h	h	NOUN
ejpam-797	1139	2	h	h	NOUN
ejpam-797	1139	3	s	s	VERB
ejpam-797	1139	4	a	a	DET
ejpam-797	1139	5	l	l	NOUN
ejpam-797	1139	6	a	a	DET
ejpam-797	1139	7	a	a	DET
ejpam-797	1139	8	−	−	NOUN
ejpam-797	1139	9	−	−	NOUN
ejpam-797	1140	1	′	′	NUM
ejpam-797	1141	1	′	′	NUM
ejpam-797	1142	1	′	′	NUM
ejpam-797	1143	1	′−	′−	NOUN
ejpam-797	1144	1	=	=	PUNCT
ejpam-797	1145	1	′	′	NUM
ejpam-797	1146	1	(	(	PUNCT
ejpam-797	1146	2	131	131	NUM
ejpam-797	1146	3	)	)	PUNCT
ejpam-797	1146	4	(	(	PUNCT
ejpam-797	1146	5	)	)	PUNCT
ejpam-797	1146	6	1	1	NUM
ejpam-797	1146	7	00	00	NUM
ejpam-797	1146	8	.	.	PUNCT
ejpam-797	1147	1	11	11	NUM
ejpam-797	1147	2	.	.	X
ejpam-797	1148	1	10	10	NUM
ejpam-797	1148	2	.	.	PUNCT
ejpam-797	1148	3	00	00	PUNCT
ejpam-797	1148	4	.	.	PUNCT
ejpam-797	1149	1	01	01	NUM
ejpam-797	1149	2	.	.	PROPN
ejpam-797	1150	1	11	11	NUM
ejpam-797	1150	2	.	.	PUNCT
ejpam-797	1151	1	k	k	PROPN
ejpam-797	1152	1	k	k	PROPN
ejpam-797	1153	1	k	k	PROPN
ejpam-797	1154	1	k	k	PROPN
ejpam-797	1155	1	k	k	PROPN
ejpam-797	1155	2	k	k	PROPN
ejpam-797	1156	1	a	a	PRON
ejpam-797	1156	2	s	s	X
ejpam-797	1156	3	a	a	DET
ejpam-797	1156	4	h	h	NOUN
ejpam-797	1157	1	s	s	NOUN
ejpam-797	1158	1	h	h	NOUN
ejpam-797	1159	1	h	h	NOUN
ejpam-797	1159	2	s	s	VERB
ejpam-797	1159	3	a	a	PRON
ejpam-797	1159	4	a	a	DET
ejpam-797	1159	5	s	s	NOUN
ejpam-797	1159	6	a	a	DET
ejpam-797	1159	7	a	a	DET
ejpam-797	1159	8	s	s	NOUN
ejpam-797	1159	9	h	h	NOUN
ejpam-797	1159	10	a	a	DET
ejpam-797	1159	11	a	a	DET
ejpam-797	1159	12	h	h	NOUN
ejpam-797	1160	1	s	s	NOUN
ejpam-797	1161	1	h	h	NOUN
ejpam-797	1162	1	−′	−′	NOUN
ejpam-797	1162	2	′	′	NUM
ejpam-797	1163	1	′	′	NUM
ejpam-797	1163	2	′	′	NUM
ejpam-797	1164	1	′−	′−	NOUN
ejpam-797	1164	2	=	=	PUNCT
ejpam-797	1165	1	′	′	NUM
ejpam-797	1166	1	′	′	NUM
ejpam-797	1166	2	(	(	PUNCT
ejpam-797	1166	3	132	132	NUM
ejpam-797	1166	4	)	)	PUNCT
ejpam-797	1166	5	(	(	PUNCT
ejpam-797	1166	6	)	)	PUNCT
ejpam-797	1166	7	00	00	PUNCT
ejpam-797	1166	8	.	.	PUNCT
ejpam-797	1167	1	1	1	NUM
ejpam-797	1167	2	1	1	NUM
ejpam-797	1167	3	m	m	NOUN
ejpam-797	1167	4	k	k	NOUN
ejpam-797	1168	1	i	i	PRON
ejpam-797	1168	2	i	i	PRON
ejpam-797	1168	3	a	a	PRON
ejpam-797	1168	4	s	s	VERB
ejpam-797	1168	5	a	a	PRON
ejpam-797	1168	6	a	a	DET
ejpam-797	1168	7	a	a	DET
ejpam-797	1168	8	ρ	ρ	NOUN
ejpam-797	1168	9	=	=	SYM
ejpam-797	1168	10	′	′	NUM
ejpam-797	1169	1	=	=	PUNCT
ejpam-797	1169	2	−	−	PROPN
ejpam-797	1169	3	′	′	NUM
ejpam-797	1169	4	∏	∏	NUM
ejpam-797	1169	5			NOUN
ejpam-797	1169	6	,	,	PUNCT
ejpam-797	1169	7	(	(	PUNCT
ejpam-797	1169	8	133	133	NUM
ejpam-797	1169	9	)	)	PUNCT
ejpam-797	1169	10	where	where	SCONJ
ejpam-797	1169	11	1	1	NUM
ejpam-797	1169	12	11	11	NUM
ejpam-797	1169	13	...	...	PUNCT
ejpam-797	1169	14	0	0	NUM
ejpam-797	1169	15	m	m	VERB
ejpam-797	1169	16	m	m	VERB
ejpam-797	1169	17	sρ	sρ	ADP
ejpam-797	1169	18	ρ	ρ	PROPN
ejpam-797	1169	19	ρ	ρ	PROPN
ejpam-797	1169	20	ρ+≥	ρ+≥	PROPN
ejpam-797	1169	21	≥	≥	NUM
ejpam-797	1169	22	≥	≥	X
ejpam-797	1169	23	>	>	X
ejpam-797	1169	24	=	=	PUNCT
ejpam-797	1170	1	=	=	PUNCT
ejpam-797	1170	2	=	=	ADJ
ejpam-797	1170	3			X
ejpam-797	1170	4			X
ejpam-797	1170	5			PROPN
ejpam-797	1170	6			PROPN
ejpam-797	1170	7			ADV
ejpam-797	1170	8	solve	solve	VERB
ejpam-797	1170	9	the	the	DET
ejpam-797	1170	10	eigenvalue	eigenvalue	PROPN
ejpam-797	1170	11	problem	problem	NOUN
ejpam-797	1170	12	(	(	PUNCT
ejpam-797	1170	13	)	)	PUNCT
ejpam-797	1170	14	1	1	NUM
ejpam-797	1170	15	11	11	NUM
ejpam-797	1170	16	.	.	PUNCT
ejpam-797	1171	1	10	10	NUM
ejpam-797	1171	2	.	.	PUNCT
ejpam-797	1171	3	00	00	PUNCT
ejpam-797	1171	4	.	.	PUNCT
ejpam-797	1172	1	01	01	NUM
ejpam-797	1172	2	.	.	PUNCT
ejpam-797	1172	3	0k	0k	NOUN
ejpam-797	1173	1	k	k	PROPN
ejpam-797	1174	1	k	k	PROPN
ejpam-797	1174	2	kh	kh	PROPN
ejpam-797	1174	3	s	s	PROPN
ejpam-797	1175	1	h	h	NOUN
ejpam-797	1175	2	h	h	NOUN
ejpam-797	1175	3	s	s	VERB
ejpam-797	1175	4	a	a	PRON
ejpam-797	1175	5	a	a	DET
ejpam-797	1175	6	s	s	NOUN
ejpam-797	1175	7	a	a	DET
ejpam-797	1175	8	a	a	DET
ejpam-797	1175	9	s	s	NOUN
ejpam-797	1175	10	hρ	hρ	ADP
ejpam-797	1175	11	−′	−′	NUM
ejpam-797	1175	12	′	′	NUM
ejpam-797	1175	13	′	′	NUM
ejpam-797	1176	1	′−	′−	PROPN
ejpam-797	1176	2	=	=	PUNCT
ejpam-797	1176	3	.	.	PUNCT
ejpam-797	1177	1	(	(	PUNCT
ejpam-797	1177	2	134	134	NUM
ejpam-797	1177	3	)	)	PUNCT
ejpam-797	1177	4	the	the	DET
ejpam-797	1177	5	variance	variance	NOUN
ejpam-797	1177	6	-	-	PUNCT
ejpam-797	1177	7	covariance	covariance	NOUN
ejpam-797	1177	8	matrix	matrix	NOUN
ejpam-797	1177	9	is	be	AUX
ejpam-797	1177	10	then	then	ADV
ejpam-797	1177	11	estimated	estimate	VERB
ejpam-797	1177	12	by	by	ADP
ejpam-797	1177	13	ˆ	ˆ	NOUN
ejpam-797	1177	14	ˆ	ˆ	NOUN
ejpam-797	1177	15	ˆ	ˆ	NOUN
ejpam-797	1177	16	ˆ	ˆ	NOUN
ejpam-797	1177	17	ˆ	ˆ	ADV
ejpam-797	1177	18	aa	aa	ADV
ejpam-797	1177	19	aa	aa	INTJ
ejpam-797	1177	20	a	a	DET
ejpam-797	1177	21	a	a	DET
ejpam-797	1177	22	a	a	DET
ejpam-797	1177	23	a	a	DET
ejpam-797	1177	24	a	a	DET
ejpam-797	1177	25	a	a	DET
ejpam-797	1177	26	a	a	DET
ejpam-797	1177	27	a⊥	a⊥	NOUN
ejpam-797	1177	28	⊥	⊥	NOUN
ejpam-797	1177	29	⊥	⊥	NOUN
ejpam-797	1177	30	⊥	⊥	PROPN
ejpam-797	1177	31	⊥	⊥	X
ejpam-797	1177	32	⊥	⊥	PROPN
ejpam-797	1177	33			PROPN
ejpam-797	1177	34	ω	ω	PROPN
ejpam-797	1177	35	ω	ω	PROPN
ejpam-797	1177	36	′	′	PROPN
ejpam-797	1177	37			NOUN
ejpam-797	1178	1			PROPN
ejpam-797	1178	2			NOUN
ejpam-797	1178	3	ω	ω	PROPN
ejpam-797	1178	4	=	=	PUNCT
ejpam-797	1178	5			NUM
ejpam-797	1178	6			NOUN
ejpam-797	1178	7			NOUN
ejpam-797	1178	8			NOUN
ejpam-797	1178	9	ω	ω	VERB
ejpam-797	1178	10	ω	ω	ADV
ejpam-797	1178	11			PROPN
ejpam-797	1178	12	,	,	PUNCT
ejpam-797	1178	13	(	(	PUNCT
ejpam-797	1178	14	135	135	NUM
ejpam-797	1178	15	)	)	PUNCT
ejpam-797	1178	16	where	where	SCONJ
ejpam-797	1178	17	the	the	DET
ejpam-797	1178	18	estimators	estimator	NOUN
ejpam-797	1178	19	of	of	ADP
ejpam-797	1178	20	a	a	DET
ejpam-797	1178	21	a⊥	a⊥	NOUN
ejpam-797	1178	22	⊥	⊥	PROPN
ejpam-797	1178	23	ω	ω	PROPN
ejpam-797	1178	24	,	,	PUNCT
ejpam-797	1178	25	1	1	NUM
ejpam-797	1178	26	aa	aa	NOUN
ejpam-797	1178	27	a	a	DET
ejpam-797	1178	28	aω	aω	NOUN
ejpam-797	1178	29	⊥	⊥	PROPN
ejpam-797	1178	30	⊥	⊥	X
ejpam-797	1178	31	⊥	⊥	PROPN
ejpam-797	1178	32	−=	−=	PROPN
ejpam-797	1178	33	ω	ω	PROPN
ejpam-797	1178	34	ω	ω	NOUN
ejpam-797	1178	35	,	,	PUNCT
ejpam-797	1178	36	and	and	CCONJ
ejpam-797	1178	37	1	1	X
ejpam-797	1178	38	.aa	.aa	PUNCT
ejpam-797	1179	1	a	a	DET
ejpam-797	1179	2	aa	aa	NOUN
ejpam-797	1179	3	aa	aa	PROPN
ejpam-797	1179	4	a	a	DET
ejpam-797	1179	5	a	a	DET
ejpam-797	1179	6	a	a	DET
ejpam-797	1179	7	a⊥	a⊥	NOUN
ejpam-797	1179	8	⊥	⊥	X
ejpam-797	1179	9	⊥	⊥	NUM
ejpam-797	1179	10	⊥	⊥	X
ejpam-797	1179	11	⊥	⊥	NOUN
ejpam-797	1179	12	−ω	−ω	NOUN
ejpam-797	1179	13	=	=	SYM
ejpam-797	1179	14	ω	ω	PROPN
ejpam-797	1179	15	−	−	PROPN
ejpam-797	1179	16	ω	ω	PROPN
ejpam-797	1179	17	ω	ω	PROPN
ejpam-797	1179	18	ω	ω	NOUN
ejpam-797	1179	19	are	be	AUX
ejpam-797	1179	20	used	use	VERB
ejpam-797	1179	21	to	to	PART
ejpam-797	1179	22	recover	recover	VERB
ejpam-797	1179	23	ˆ	ˆ	ADJ
ejpam-797	1179	24	a	a	DET
ejpam-797	1179	25	a⊥	a⊥	NOUN
ejpam-797	1179	26	⊥	⊥	PROPN
ejpam-797	1179	27	ω	ω	PROPN
ejpam-797	1179	28	,	,	PUNCT
ejpam-797	1179	29	ˆ	ˆ	PRON
ejpam-797	1179	30	ˆˆaa	ˆˆaa	PROPN
ejpam-797	1180	1	a	a	DET
ejpam-797	1180	2	aω	aω	NOUN
ejpam-797	1180	3	⊥	⊥	PROPN
ejpam-797	1180	4	⊥	⊥	PROPN
ejpam-797	1180	5	⊥	⊥	PROPN
ejpam-797	1180	6	ω	ω	PROPN
ejpam-797	1180	7	=	=	SYM
ejpam-797	1180	8	ω	ω	PROPN
ejpam-797	1180	9	,	,	PUNCT
ejpam-797	1180	10	ˆ	ˆ	DET
ejpam-797	1180	11	ˆ	ˆ	ADV
ejpam-797	1180	12	a	a	DET
ejpam-797	1180	13	a	a	DET
ejpam-797	1180	14	aa⊥	aa⊥	PROPN
ejpam-797	1180	15	⊥	⊥	PROPN
ejpam-797	1180	16	′ω	′ω	NOUN
ejpam-797	1180	17	=	=	SYM
ejpam-797	1180	18	ω	ω	PROPN
ejpam-797	1180	19	,	,	PUNCT
ejpam-797	1180	20	and	and	CCONJ
ejpam-797	1180	21	.	.	PUNCT
ejpam-797	1181	1	ˆ	ˆ	NOUN
ejpam-797	1181	2	ˆ	ˆ	ADV
ejpam-797	1181	3	ˆˆaa	ˆˆaa	PROPN
ejpam-797	1181	4	aa	aa	PROPN
ejpam-797	1181	5	a	a	PRON
ejpam-797	1181	6	a	a	DET
ejpam-797	1181	7	aω	aω	NOUN
ejpam-797	1181	8	⊥	⊥	PROPN
ejpam-797	1181	9	⊥	⊥	PROPN
ejpam-797	1181	10	ω	ω	PUNCT
ejpam-797	1181	11	=	=	SYM
ejpam-797	1181	12	ω	ω	PROPN
ejpam-797	1182	1	+	+	PROPN
ejpam-797	1182	2	ω	ω	NOUN
ejpam-797	1182	3	.	.	PUNCT
ejpam-797	1183	1	finally	finally	ADV
ejpam-797	1183	2	,	,	PUNCT
ejpam-797	1183	3	the	the	DET
ejpam-797	1183	4	maximized	maximized	ADJ
ejpam-797	1183	5	likelihood	likelihood	NOUN
ejpam-797	1183	6	is	be	AUX
ejpam-797	1183	7	(	(	PUNCT
ejpam-797	1183	8	)	)	PUNCT
ejpam-797	1183	9	(	(	PUNCT
ejpam-797	1183	10	)	)	PUNCT
ejpam-797	1183	11	00	00	NUM
ejpam-797	1184	1	00.2	00.2	NUM
ejpam-797	1184	2	max	max	NOUN
ejpam-797	1184	3	1	1	NUM
ejpam-797	1184	4	1	1	NUM
ejpam-797	1184	5	1	1	NUM
ejpam-797	1184	6	1	1	NUM
ejpam-797	1184	7	r	r	NOUN
ejpam-797	1184	8	m	m	NOUN
ejpam-797	1184	9	m	m	VERB
ejpam-797	1184	10	kt	kt	INTJ
ejpam-797	1184	11	i	i	PRON
ejpam-797	1184	12	i	i	PRON
ejpam-797	1184	13	i	i	PRON
ejpam-797	1184	14	i	i	PRON
ejpam-797	1184	15	a	a	PRON
ejpam-797	1184	16	s	s	X
ejpam-797	1184	17	a	a	DET
ejpam-797	1184	18	a	a	DET
ejpam-797	1184	19	s	s	NOUN
ejpam-797	1184	20	a	a	DET
ejpam-797	1184	21	l	l	NOUN
ejpam-797	1184	22	a	a	DET
ejpam-797	1184	23	a	a	DET
ejpam-797	1184	24	a	a	DET
ejpam-797	1184	25	a	a	DET
ejpam-797	1184	26	λ	λ	NOUN
ejpam-797	1184	27	ρ	ρ	NOUN
ejpam-797	1184	28	−	−	PROPN
ejpam-797	1184	29	⊥	⊥	NOUN
ejpam-797	1184	30	⊥−	⊥−	NOUN
ejpam-797	1185	1	=	=	PUNCT
ejpam-797	1186	1	=	=	NOUN
ejpam-797	1186	2	⊥	⊥	NOUN
ejpam-797	1186	3	⊥	⊥	NUM
ejpam-797	1186	4	′	′	NUM
ejpam-797	1187	1	′	′	NUM
ejpam-797	1188	1	=	=	PUNCT
ejpam-797	1189	1	−	−	NOUN
ejpam-797	1189	2	−	−	NOUN
ejpam-797	1190	1	′	′	NUM
ejpam-797	1190	2	′	′	NUM
ejpam-797	1190	3	∏	∏	PROPN
ejpam-797	1190	4	∏	∏	NOUN
ejpam-797	1190	5			NOUN
ejpam-797	1190	6	.	.	PUNCT
ejpam-797	1191	1			NUM
ejpam-797	1191	2	(	(	PUNCT
ejpam-797	1191	3	136	136	NUM
ejpam-797	1191	4	)	)	PUNCT
ejpam-797	1191	5	proof	proof	NOUN
ejpam-797	1191	6	of	of	ADP
ejpam-797	1191	7	theorem	theorem	ADJ
ejpam-797	1191	8	4	4	NUM
ejpam-797	1191	9	.	.	PUNCT
ejpam-797	1192	1	the	the	DET
ejpam-797	1192	2	likelihood	likelihood	NOUN
ejpam-797	1192	3	ratio	ratio	NOUN
ejpam-797	1192	4	test	test	NOUN
ejpam-797	1192	5	for	for	ADP
ejpam-797	1192	6	0h	0h	PROPN
ejpam-797	1192	7	in	in	ADP
ejpam-797	1192	8	h(r	h(r	NOUN
ejpam-797	1192	9	)	)	PUNCT
ejpam-797	1192	10	is	be	AUX
ejpam-797	1192	11	(	(	PUNCT
ejpam-797	1192	12	)	)	PUNCT
ejpam-797	1192	13	(	(	PUNCT
ejpam-797	1192	14	)	)	PUNCT
ejpam-797	1192	15	(	(	PUNCT
ejpam-797	1192	16	)	)	PUNCT
ejpam-797	1192	17	(	(	PUNCT
ejpam-797	1192	18	)	)	PUNCT
ejpam-797	1192	19	(	(	PUNCT
ejpam-797	1192	20	)	)	PUNCT
ejpam-797	1192	21	(	(	PUNCT
ejpam-797	1192	22	)	)	PUNCT
ejpam-797	1192	23	0	0	NUM
ejpam-797	1193	1	02lnlr	02lnlr	NUM
ejpam-797	1194	1	h	h	NOUN
ejpam-797	1194	2	h	h	NOUN
ejpam-797	1195	1	r	r	NOUN
ejpam-797	1195	2	l	l	NOUN
ejpam-797	1195	3	h	h	NOUN
ejpam-797	1195	4	l	l	NOUN
ejpam-797	1195	5	h	h	NOUN
ejpam-797	1195	6	r=	r=	ADJ
ejpam-797	1195	7	−	−	PROPN
ejpam-797	1195	8	.	.	PUNCT
ejpam-797	1196	1	(	(	PUNCT
ejpam-797	1196	2	137	137	NUM
ejpam-797	1196	3	)	)	PUNCT
ejpam-797	1196	4	the	the	DET
ejpam-797	1196	5	constant	constant	ADJ
ejpam-797	1196	6	terms	term	NOUN
ejpam-797	1196	7	in	in	ADP
ejpam-797	1196	8	both	both	PRON
ejpam-797	1196	9	cancel	cancel	VERB
ejpam-797	1196	10	,	,	PUNCT
ejpam-797	1196	11	and	and	CCONJ
ejpam-797	1196	12	one	one	PRON
ejpam-797	1196	13	can	can	AUX
ejpam-797	1196	14	write	write	VERB
ejpam-797	1196	15	the	the	DET
ejpam-797	1196	16	likelihood	likelihood	NOUN
ejpam-797	1196	17	ratio	ratio	NOUN
ejpam-797	1196	18	test	test	NOUN
ejpam-797	1196	19	statistic	statistic	NOUN
ejpam-797	1196	20	from	from	ADP
ejpam-797	1196	21	(	(	PUNCT
ejpam-797	1196	22	15	15	NUM
ejpam-797	1196	23	)	)	PUNCT
ejpam-797	1196	24	and	and	CCONJ
ejpam-797	1196	25	(	(	PUNCT
ejpam-797	1196	26	136	136	NUM
ejpam-797	1196	27	)	)	PUNCT
ejpam-797	1196	28	,	,	PUNCT
ejpam-797	1196	29	(	(	PUNCT
ejpam-797	1196	30	)	)	PUNCT
ejpam-797	1196	31	(	(	PUNCT
ejpam-797	1196	32	)	)	PUNCT
ejpam-797	1196	33	(	(	PUNCT
ejpam-797	1196	34	)	)	PUNCT
ejpam-797	1196	35	(	(	PUNCT
ejpam-797	1196	36	)	)	PUNCT
ejpam-797	1196	37	(	(	PUNCT
ejpam-797	1196	38	)	)	PUNCT
ejpam-797	1196	39	0	0	NUM
ejpam-797	1196	40	00	00	NUM
ejpam-797	1196	41	.	.	PUNCT
ejpam-797	1196	42	00	00	NUM
ejpam-797	1197	1	00	00	NUM
ejpam-797	1197	2	1	1	NUM
ejpam-797	1197	3	1	1	NUM
ejpam-797	1197	4	1	1	NUM
ejpam-797	1198	1	|	|	ADV
ejpam-797	1198	2	ln	ln	ADV
ejpam-797	1198	3	ln	ln	ADJ
ejpam-797	1198	4	...	...	PUNCT
ejpam-797	1198	5	ˆln	ˆln	PROPN
ejpam-797	1198	6	1	1	NUM
ejpam-797	1198	7	ln	ln	PROPN
ejpam-797	1198	8	1	1	NUM
ejpam-797	1198	9	ln	ln	NOUN
ejpam-797	1198	10	1	1	NUM
ejpam-797	1198	11	k	k	NOUN
ejpam-797	1198	12	r	r	NOUN
ejpam-797	1198	13	m	m	VERB
ejpam-797	1198	14	m	m	VERB
ejpam-797	1198	15	r	r	NOUN
ejpam-797	1199	1	i	i	PRON
ejpam-797	1200	1	i	i	INTJ
ejpam-797	1200	2	j	j	VERB
ejpam-797	1201	1	i	i	PRON
ejpam-797	1201	2	i	i	PRON
ejpam-797	1201	3	j	j	VERB
ejpam-797	1202	1	lr	lr	INTJ
ejpam-797	1202	2	h	h	NOUN
ejpam-797	1202	3	h	h	NOUN
ejpam-797	1202	4	r	r	NOUN
ejpam-797	1203	1	a	a	DET
ejpam-797	1203	2	s	s	NOUN
ejpam-797	1203	3	a	a	DET
ejpam-797	1203	4	a	a	DET
ejpam-797	1203	5	s	s	NOUN
ejpam-797	1203	6	a	a	DET
ejpam-797	1203	7	t	t	NOUN
ejpam-797	1203	8	s	s	VERB
ejpam-797	1203	9	a	a	PRON
ejpam-797	1203	10	a	a	DET
ejpam-797	1203	11	a	a	DET
ejpam-797	1203	12	a	a	PRON
ejpam-797	1203	13	λ	λ	NOUN
ejpam-797	1203	14	ρ	ρ	NOUN
ejpam-797	1203	15	λ	λ	PROPN
ejpam-797	1203	16	⊥	⊥	PROPN
ejpam-797	1203	17	⊥	⊥	X
ejpam-797	1203	18	⊥	⊥	X
ejpam-797	1203	19	⊥	⊥	NOUN
ejpam-797	1203	20	−	−	PROPN
ejpam-797	1204	1	=	=	PUNCT
ejpam-797	1204	2	=	=	PUNCT
ejpam-797	1204	3	=	=	PUNCT
ejpam-797	1204	4	=	=	PUNCT
ejpam-797	1204	5			NOUN
ejpam-797	1204	6	′	′	NUM
ejpam-797	1204	7	′	′	PRON
ejpam-797	1204	8			PRON
ejpam-797	1204	9	−	−	NUM
ejpam-797	1204	10			NOUN
ejpam-797	1204	11	′	′	NOUN
ejpam-797	1205	1	′	′	NOUN
ejpam-797	1205	2			VERB
ejpam-797	1205	3			X
ejpam-797	1205	4			VERB
ejpam-797	1205	5			NOUN
ejpam-797	1205	6	+	+	CCONJ
ejpam-797	1205	7	−	−	PROPN
ejpam-797	1206	1	+	+	CCONJ
ejpam-797	1207	1	−	−	PROPN
ejpam-797	1207	2	−	−	NOUN
ejpam-797	1208	1	−	−	PROPN
ejpam-797	1208	2			PROPN
ejpam-797	1208	3			NOUN
ejpam-797	1208	4	∑	∑	ADP
ejpam-797	1208	5	∑	∑	PART
ejpam-797	1208	6	∑	∑	X
ejpam-797	1208	7			NOUN
ejpam-797	1208	8	.	.	PUNCT
ejpam-797	1209	1	(	(	PUNCT
ejpam-797	1209	2	138	138	NUM
ejpam-797	1209	3	)	)	PUNCT
ejpam-797	1209	4	the	the	DET
ejpam-797	1209	5	number	number	NOUN
ejpam-797	1209	6	of	of	ADP
ejpam-797	1209	7	free	free	ADJ
ejpam-797	1209	8	parameters	parameter	NOUN
ejpam-797	1209	9	in	in	ADP
ejpam-797	1209	10	the	the	DET
ejpam-797	1209	11	unrestricted	unrestricted	ADJ
ejpam-797	1209	12	model	model	NOUN
ejpam-797	1209	13	for	for	ADP
ejpam-797	1209	14	r	r	NOUN
ejpam-797	1209	15	cointegrating	cointegrate	VERB
ejpam-797	1209	16	relationships	relationship	NOUN
ejpam-797	1209	17	,	,	PUNCT
ejpam-797	1209	18	from	from	ADP
ejpam-797	1209	19	theorem	theorem	NOUN
ejpam-797	1209	20	2	2	NUM
ejpam-797	1209	21	,	,	PUNCT
ejpam-797	1209	22	is	be	AUX
ejpam-797	1209	23	2pr	2pr	NUM
ejpam-797	1209	24	-	-	PUNCT
ejpam-797	1209	25	r	r	NOUN
ejpam-797	1209	26	2	2	NUM
ejpam-797	1209	27	.	.	PUNCT
ejpam-797	1210	1	in	in	ADP
ejpam-797	1210	2	the	the	DET
ejpam-797	1210	3	restricted	restricted	ADJ
ejpam-797	1210	4	model	model	NOUN
ejpam-797	1210	5	,	,	PUNCT
ejpam-797	1210	6	1	1	NUM
ejpam-797	1210	7	2a	2a	NUM
ejpam-797	1210	8	h	h	NOUN
ejpam-797	1210	9	a	a	DET
ejpam-797	1210	10	hφ	hφ	PROPN
ejpam-797	1210	11	ψφ⊥′	ψφ⊥′	NOUN
ejpam-797	1210	12	′	′	NUM
ejpam-797	1211	1	′	′	NUM
ejpam-797	1211	2	′π	′π	PROPN
ejpam-797	1211	3	=	=	PUNCT
ejpam-797	1212	1	+	+	CCONJ
ejpam-797	1212	2	(	(	PUNCT
ejpam-797	1212	3	see	see	VERB
ejpam-797	1212	4	[	[	X
ejpam-797	1212	5	23	23	NUM
ejpam-797	1212	6	,	,	PUNCT
ejpam-797	1212	7	lemma	lemma	PROPN
ejpam-797	1212	8	7.1	7.1	NUM
ejpam-797	1212	9	]	]	PUNCT
ejpam-797	1212	10	)	)	PUNCT
ejpam-797	1212	11	has	have	AUX
ejpam-797	1212	12	ms+(p	ms+(p	NOUN
ejpam-797	1212	13	-	-	PUNCT
ejpam-797	1212	14	m+s-(r	m+s-(r	NOUN
ejpam-797	1212	15	-	-	PUNCT
ejpam-797	1212	16	m))(r	m))(r	NOUN
ejpam-797	1212	17	-	-	PUNCT
ejpam-797	1212	18	m	m	NOUN
ejpam-797	1212	19	)	)	PUNCT
ejpam-797	1212	20	free	free	ADJ
ejpam-797	1212	21	parameters	parameter	NOUN
ejpam-797	1212	22	.	.	PUNCT
ejpam-797	1213	1	the	the	DET
ejpam-797	1213	2	degrees	degree	NOUN
ejpam-797	1213	3	of	of	ADP
ejpam-797	1213	4	freedom	freedom	NOUN
ejpam-797	1213	5	for	for	ADP
ejpam-797	1213	6	the	the	DET
ejpam-797	1213	7	likelihood	likelihood	NOUN
ejpam-797	1213	8	ratio	ratio	NOUN
ejpam-797	1213	9	tests	test	NOUN
ejpam-797	1213	10	is	be	AUX
ejpam-797	1213	11	the	the	DET
ejpam-797	1213	12	difference	difference	NOUN
ejpam-797	1213	13	in	in	ADP
ejpam-797	1213	14	free	free	ADJ
ejpam-797	1213	15	parameters	parameter	NOUN
ejpam-797	1213	16	between	between	ADP
ejpam-797	1213	17	the	the	DET
ejpam-797	1213	18	unrestricted	unrestricted	ADJ
ejpam-797	1213	19	and	and	CCONJ
ejpam-797	1213	20	restricted	restricted	ADJ
ejpam-797	1213	21	models	model	NOUN
ejpam-797	1213	22	,	,	PUNCT
ejpam-797	1213	23	m(p	m(p	PROPN
ejpam-797	1213	24	-	-	PUNCT
ejpam-797	1213	25	r)+r(p	r)+r(p	NOUN
ejpam-797	1213	26	-	-	PUNCT
ejpam-797	1213	27	s	s	NOUN
ejpam-797	1213	28	)	)	PUNCT
ejpam-797	1213	29	.	.	PUNCT
ejpam-797	1214	1	so	so	ADV
ejpam-797	1214	2	,	,	PUNCT
ejpam-797	1214	3	the	the	DET
ejpam-797	1214	4	likelihood	likelihood	NOUN
ejpam-797	1214	5	ratio	ratio	NOUN
ejpam-797	1214	6	test	test	NOUN
ejpam-797	1214	7	is	be	AUX
ejpam-797	1214	8	asymptotically	asymptotically	ADV
ejpam-797	1214	9	distributed	distribute	VERB
ejpam-797	1214	10	as	as	ADP
ejpam-797	1214	11	2χ	2χ	NUM
ejpam-797	1214	12	with	with	ADP
ejpam-797	1214	13	m(p	m(p	PROPN
ejpam-797	1214	14	-	-	PUNCT
ejpam-797	1214	15	r)+r(p	r)+r(p	NOUN
ejpam-797	1214	16	-	-	PUNCT
ejpam-797	1214	17	s	s	NOUN
ejpam-797	1214	18	)	)	PUNCT
ejpam-797	1214	19	degrees	degree	NOUN
ejpam-797	1214	20	of	of	ADP
ejpam-797	1214	21	freedom	freedom	NOUN
ejpam-797	1214	22	.	.	PUNCT
ejpam-797	1215	1			NUM
ejpam-797	1215	2	references	reference	VERB
ejpam-797	1215	3	568	568	NUM
ejpam-797	1215	4	proof	proof	NOUN
ejpam-797	1215	5	of	of	ADP
ejpam-797	1215	6	theorem	theorem	NOUN
ejpam-797	1215	7	5	5	NUM
ejpam-797	1215	8	.	.	PUNCT
ejpam-797	1215	9	under	under	ADP
ejpam-797	1215	10	the	the	DET
ejpam-797	1215	11	hypothesis	hypothesis	NOUN
ejpam-797	1215	12	0	0	NUM
ejpam-797	1215	13	:	:	PUNCT
ejpam-797	1215	14	,	,	PUNCT
ejpam-797	1215	15	,	,	PUNCT
ejpam-797	1215	16	,	,	PUNCT
ejpam-797	1215	17	h	h	NOUN
ejpam-797	1215	18	h	h	NOUN
ejpam-797	1215	19	h	h	NOUN
ejpam-797	1215	20	a	a	DET
ejpam-797	1215	21	aβ	aβ	NOUN
ejpam-797	1215	22	φ	φ	PROPN
ejpam-797	1215	23	α	α	PROPN
ejpam-797	1215	24	ψ⊥	ψ⊥	PROPN
ejpam-797	1215	25	⊥	⊥	PROPN
ejpam-797	1215	26			PROPN
ejpam-797	1215	27	=	=	PUNCT
ejpam-797	1215	28	=	=	NOUN
ejpam-797	1215	29			X
ejpam-797	1215	30			NOUN
ejpam-797	1215	31			NOUN
ejpam-797	1215	32			PROPN
ejpam-797	1215	33	where	where	SCONJ
ejpam-797	1215	34	,	,	PUNCT
ejpam-797	1215	35	h	h	PROPN
ejpam-797	1215	36	a	a	PRON
ejpam-797	1215	37	are	be	AUX
ejpam-797	1215	38	known	know	VERB
ejpam-797	1215	39	p×s	p×s	PROPN
ejpam-797	1215	40	matrices	matrix	NOUN
ejpam-797	1215	41	and	and	CCONJ
ejpam-797	1215	42	φ	φ	PROPN
ejpam-797	1215	43	and	and	CCONJ
ejpam-797	1215	44	ψ	ψ	X
ejpam-797	1215	45	(	(	PUNCT
ejpam-797	1215	46	p	p	X
ejpam-797	1215	47	-	-	PUNCT
ejpam-797	1215	48	s)×(r	s)×(r	NOUN
ejpam-797	1215	49	-	-	PUNCT
ejpam-797	1215	50	s	s	NOUN
ejpam-797	1215	51	)	)	PUNCT
ejpam-797	1215	52	are	be	AUX
ejpam-797	1215	53	unknown	unknown	ADJ
ejpam-797	1215	54	,	,	PUNCT
ejpam-797	1215	55	s≤r	s≤r	PROPN
ejpam-797	1215	56	<	<	X
ejpam-797	1215	57	p.	p.	NOUN
ejpam-797	1215	58	the	the	DET
ejpam-797	1215	59	reduced	reduce	VERB
ejpam-797	1215	60	rank	rank	NOUN
ejpam-797	1215	61	regression	regression	NOUN
ejpam-797	1215	62	given	give	VERB
ejpam-797	1215	63	0h	0h	PROPN
ejpam-797	1215	64	can	can	AUX
ejpam-797	1215	65	be	be	AUX
ejpam-797	1215	66	expressed	express	VERB
ejpam-797	1215	67	as	as	ADP
ejpam-797	1215	68	0	0	NUM
ejpam-797	1215	69	1	1	NUM
ejpam-797	1215	70	1	1	NUM
ejpam-797	1215	71	t	t	NOUN
ejpam-797	1215	72	t	t	NOUN
ejpam-797	1215	73	t	t	PROPN
ejpam-797	1215	74	tr	tr	VERB
ejpam-797	1215	75	ah	ah	INTJ
ejpam-797	1215	76	r	r	NOUN
ejpam-797	1215	77	a	a	DET
ejpam-797	1215	78	h	h	NOUN
ejpam-797	1215	79	rψφ	rψφ	NOUN
ejpam-797	1215	80	ε⊥	ε⊥	PROPN
ejpam-797	1215	81	⊥′	⊥′	PROPN
ejpam-797	1215	82	′	′	NUM
ejpam-797	1215	83	′=	′=	PROPN
ejpam-797	1216	1	+	+	X
ejpam-797	1217	1	+	+	CCONJ
ejpam-797	1217	2	(	(	PUNCT
ejpam-797	1217	3	139	139	NUM
ejpam-797	1217	4	)	)	PUNCT
ejpam-797	1217	5	after	after	ADP
ejpam-797	1217	6	defining	define	VERB
ejpam-797	1217	7	0	0	NUM
ejpam-797	1217	8	1kt	1kt	ADJ
ejpam-797	1217	9	t	t	PROPN
ejpam-797	1217	10	tr	tr	NOUN
ejpam-797	1217	11	r	r	NOUN
ejpam-797	1217	12	ah	ah	INTJ
ejpam-797	1217	13	r′=	r′=	NOUN
ejpam-797	1217	14	−	−	NOUN
ejpam-797	1217	15	,	,	PUNCT
ejpam-797	1217	16	for	for	ADP
ejpam-797	1217	17	which	which	PRON
ejpam-797	1217	18	there	there	PRON
ejpam-797	1217	19	are	be	VERB
ejpam-797	1217	20	no	no	DET
ejpam-797	1217	21	unknown	unknown	ADJ
ejpam-797	1217	22	parameters	parameter	NOUN
ejpam-797	1217	23	,	,	PUNCT
ejpam-797	1217	24	one	one	NUM
ejpam-797	1217	25	rewrites	rewrite	NOUN
ejpam-797	1217	26	(	(	PUNCT
ejpam-797	1217	27	139	139	NUM
ejpam-797	1217	28	)	)	PUNCT
ejpam-797	1217	29	as	as	ADP
ejpam-797	1217	30	1kt	1kt	ADJ
ejpam-797	1217	31	t	t	PROPN
ejpam-797	1217	32	tr	tr	NOUN
ejpam-797	1217	33	a	a	DET
ejpam-797	1217	34	h	h	NOUN
ejpam-797	1217	35	rψφ	rψφ	NOUN
ejpam-797	1217	36	ε⊥	ε⊥	PROPN
ejpam-797	1217	37	⊥′	⊥′	PROPN
ejpam-797	1217	38	′=	′=	PROPN
ejpam-797	1217	39	+	+	CCONJ
ejpam-797	1217	40	(	(	PUNCT
ejpam-797	1217	41	140	140	NUM
ejpam-797	1217	42	)	)	PUNCT
ejpam-797	1217	43	and	and	CCONJ
ejpam-797	1217	44	premultiplies	premultiplie	NOUN
ejpam-797	1217	45	(	(	PUNCT
ejpam-797	1217	46	140	140	NUM
ejpam-797	1217	47	)	)	PUNCT
ejpam-797	1217	48	,	,	PUNCT
ejpam-797	1217	49	in	in	ADP
ejpam-797	1217	50	turn	turn	NOUN
ejpam-797	1217	51	,	,	PUNCT
ejpam-797	1217	52	by	by	ADP
ejpam-797	1217	53	a′	a′	PROPN
ejpam-797	1217	54	and	and	CCONJ
ejpam-797	1217	55	a⊥′	a⊥′	PROPN
ejpam-797	1217	56	to	to	PART
ejpam-797	1217	57	get	get	VERB
ejpam-797	1217	58	kt	kt	PROPN
ejpam-797	1217	59	ta	ta	AUX
ejpam-797	1217	60	r	r	NOUN
ejpam-797	1217	61	a	a	DET
ejpam-797	1217	62	ε′	ε′	PROPN
ejpam-797	1217	63	′=	′=	NOUN
ejpam-797	1217	64	(	(	PUNCT
ejpam-797	1217	65	141	141	NUM
ejpam-797	1217	66	)	)	PUNCT
ejpam-797	1217	67	and	and	CCONJ
ejpam-797	1217	68	1	1	NUM
ejpam-797	1217	69	1kt	1kt	NOUN
ejpam-797	1217	70	t	t	NOUN
ejpam-797	1217	71	ta	ta	NOUN
ejpam-797	1218	1	r	r	NOUN
ejpam-797	1218	2	h	h	NOUN
ejpam-797	1218	3	r	r	NOUN
ejpam-797	1218	4	aψ	aψ	NUM
ejpam-797	1218	5	φ	φ	NUM
ejpam-797	1218	6	ε⊥	ε⊥	PROPN
ejpam-797	1218	7	⊥′	⊥′	PROPN
ejpam-797	1218	8	′	′	NUM
ejpam-797	1219	1	′	′	NUM
ejpam-797	1219	2	′=	′=	PROPN
ejpam-797	1219	3	+	+	X
ejpam-797	1219	4	.	.	PUNCT
ejpam-797	1220	1	(	(	PUNCT
ejpam-797	1220	2	142	142	NUM
ejpam-797	1220	3	)	)	PUNCT
ejpam-797	1220	4	this	this	PRON
ejpam-797	1220	5	allows	allow	VERB
ejpam-797	1220	6	one	one	NUM
ejpam-797	1220	7	to	to	PART
ejpam-797	1220	8	factor	factor	VERB
ejpam-797	1220	9	the	the	DET
ejpam-797	1220	10	likelihood	likelihood	NOUN
ejpam-797	1220	11	function	function	NOUN
ejpam-797	1220	12	into	into	ADP
ejpam-797	1220	13	a	a	DET
ejpam-797	1220	14	marginal	marginal	ADJ
ejpam-797	1220	15	part	part	NOUN
ejpam-797	1220	16	based	base	VERB
ejpam-797	1220	17	on	on	ADP
ejpam-797	1220	18	(	(	PUNCT
ejpam-797	1220	19	141	141	NUM
ejpam-797	1220	20	)	)	PUNCT
ejpam-797	1220	21	and	and	CCONJ
ejpam-797	1220	22	a	a	DET
ejpam-797	1220	23	factor	factor	NOUN
ejpam-797	1220	24	based	base	VERB
ejpam-797	1220	25	on	on	ADP
ejpam-797	1220	26	(	(	PUNCT
ejpam-797	1220	27	142	142	NUM
ejpam-797	1220	28	)	)	PUNCT
ejpam-797	1220	29	conditional	conditional	ADJ
ejpam-797	1220	30	on	on	ADP
ejpam-797	1220	31	(	(	PUNCT
ejpam-797	1220	32	141	141	NUM
ejpam-797	1220	33	):	):	SYM
ejpam-797	1220	34	1	1	NUM
ejpam-797	1220	35	ˆ	ˆ	NOUN
ejpam-797	1220	36	ˆkt	ˆkt	VERB
ejpam-797	1220	37	t	t	PROPN
ejpam-797	1220	38	kt	kt	PROPN
ejpam-797	1220	39	t	t	PROPN
ejpam-797	1220	40	ta	ta	ADP
ejpam-797	1220	41	r	r	NOUN
ejpam-797	1220	42	h	h	NOUN
ejpam-797	1220	43	r	r	NOUN
ejpam-797	1220	44	a	a	DET
ejpam-797	1220	45	r	r	NOUN
ejpam-797	1220	46	a	a	DET
ejpam-797	1220	47	aψφ	aψφ	NOUN
ejpam-797	1220	48	ω	ω	NUM
ejpam-797	1220	49	ε	ε	PROPN
ejpam-797	1220	50	ω	ω	NUM
ejpam-797	1220	51	ε⊥	ε⊥	PROPN
ejpam-797	1220	52	⊥	⊥	PROPN
ejpam-797	1220	53	⊥′	⊥′	PROPN
ejpam-797	1220	54	′	′	NUM
ejpam-797	1221	1	′	′	NUM
ejpam-797	1222	1	′	′	NUM
ejpam-797	1223	1	′	′	NUM
ejpam-797	1224	1	′=	′=	PROPN
ejpam-797	1224	2	+	+	PUNCT
ejpam-797	1225	1	+	+	CCONJ
ejpam-797	1225	2	−	−	NOUN
ejpam-797	1225	3	,	,	PUNCT
ejpam-797	1225	4	(	(	PUNCT
ejpam-797	1225	5	143	143	NUM
ejpam-797	1225	6	)	)	PUNCT
ejpam-797	1225	7	where	where	SCONJ
ejpam-797	1225	8	(	(	PUNCT
ejpam-797	1225	9	)	)	PUNCT
ejpam-797	1225	10	11	11	NUM
ejpam-797	1225	11	a	a	DET
ejpam-797	1225	12	a	a	DET
ejpam-797	1225	13	aa	aa	NOUN
ejpam-797	1225	14	a	a	DET
ejpam-797	1225	15	a	a	DET
ejpam-797	1225	16	a	a	DET
ejpam-797	1225	17	aω	aω	PROPN
ejpam-797	1225	18	⊥	⊥	PROPN
ejpam-797	1225	19	−−	−−	NOUN
ejpam-797	1225	20	⊥′	⊥′	PROPN
ejpam-797	1225	21	′=	′=	PROPN
ejpam-797	1225	22	ω	ω	PROPN
ejpam-797	1225	23	ω	ω	PROPN
ejpam-797	1225	24	=	=	PROPN
ejpam-797	1225	25	ω	ω	PROPN
ejpam-797	1225	26	ω	ω	PROPN
ejpam-797	1225	27	.	.	PUNCT
ejpam-797	1226	1	the	the	DET
ejpam-797	1226	2	parameters	parameter	NOUN
ejpam-797	1226	3	in	in	ADP
ejpam-797	1226	4	(	(	PUNCT
ejpam-797	1226	5	143	143	NUM
ejpam-797	1226	6	)	)	PUNCT
ejpam-797	1226	7	are	be	AUX
ejpam-797	1226	8	variation	variation	NOUN
ejpam-797	1226	9	independent	independent	ADJ
ejpam-797	1226	10	of	of	ADP
ejpam-797	1226	11	(	(	PUNCT
ejpam-797	1226	12	141	141	NUM
ejpam-797	1226	13	)	)	PUNCT
ejpam-797	1226	14	with	with	ADP
ejpam-797	1226	15	independent	independent	ADJ
ejpam-797	1226	16	errors	error	NOUN
ejpam-797	1226	17	.	.	PUNCT
ejpam-797	1227	1	to	to	PART
ejpam-797	1227	2	calculate	calculate	VERB
ejpam-797	1227	3	the	the	DET
ejpam-797	1227	4	conditional	conditional	ADJ
ejpam-797	1227	5	factor	factor	NOUN
ejpam-797	1227	6	,	,	PUNCT
ejpam-797	1227	7	one	one	NUM
ejpam-797	1227	8	fixes	fix	NOUN
ejpam-797	1227	9	φ	φ	PROPN
ejpam-797	1227	10	and	and	CCONJ
ejpam-797	1227	11	ψ	ψ	PROPN
ejpam-797	1227	12	and	and	CCONJ
ejpam-797	1227	13	regresses	regress	VERB
ejpam-797	1227	14	1kt	1kt	ADJ
ejpam-797	1227	15	ta	ta	ADP
ejpam-797	1228	1	r	r	NOUN
ejpam-797	1228	2	h	h	NOUN
ejpam-797	1228	3	rψφ⊥	rψφ⊥	PROPN
ejpam-797	1228	4	⊥′	⊥′	PROPN
ejpam-797	1228	5	′	′	NUM
ejpam-797	1228	6	′−	′−	PROPN
ejpam-797	1228	7	on	on	ADP
ejpam-797	1228	8	kta	kta	PROPN
ejpam-797	1228	9	rω	rω	VERB
ejpam-797	1228	10	′	′	NOUN
ejpam-797	1228	11	to	to	PART
ejpam-797	1228	12	estimate	estimate	VERB
ejpam-797	1228	13	(	(	PUNCT
ejpam-797	1228	14	)	)	PUNCT
ejpam-797	1228	15	(	(	PUNCT
ejpam-797	1228	16	)	)	PUNCT
ejpam-797	1228	17	(	(	PUNCT
ejpam-797	1228	18	)	)	PUNCT
ejpam-797	1228	19	1	1	NUM
ejpam-797	1228	20	1	1	NUM
ejpam-797	1228	21	,	,	PUNCT
ejpam-797	1228	22	kk	kk	PROPN
ejpam-797	1228	23	k	k	PROPN
ejpam-797	1228	24	kka	kka	PROPN
ejpam-797	1228	25	s	s	AUX
ejpam-797	1228	26	a	a	DET
ejpam-797	1228	27	h	h	NOUN
ejpam-797	1228	28	s	s	VERB
ejpam-797	1228	29	a	a	PRON
ejpam-797	1228	30	a	a	DET
ejpam-797	1228	31	s	s	X
ejpam-797	1228	32	aω	aω	NOUN
ejpam-797	1228	33	φ	φ	NOUN
ejpam-797	1228	34	ψ	ψ	X
ejpam-797	1228	35	ψφ	ψφ	ADP
ejpam-797	1228	36	−	−	PROPN
ejpam-797	1228	37	⊥	⊥	ADJ
ejpam-797	1228	38	⊥′	⊥′	PROPN
ejpam-797	1228	39	′	′	NOUN
ejpam-797	1228	40	′	′	NUM
ejpam-797	1229	1	′=	′=	PROPN
ejpam-797	1229	2	−	−	PROPN
ejpam-797	1230	1	(	(	PUNCT
ejpam-797	1230	2	144	144	NUM
ejpam-797	1230	3	)	)	PUNCT
ejpam-797	1230	4	this	this	PRON
ejpam-797	1230	5	allows	allow	VERB
ejpam-797	1230	6	one	one	PRON
ejpam-797	1230	7	to	to	PART
ejpam-797	1230	8	correct	correct	VERB
ejpam-797	1230	9	for	for	ADP
ejpam-797	1230	10	ω	ω	PROPN
ejpam-797	1230	11	in	in	ADP
ejpam-797	1230	12	(	(	PUNCT
ejpam-797	1230	13	143	143	NUM
ejpam-797	1230	14	)	)	PUNCT
ejpam-797	1230	15	by	by	ADP
ejpam-797	1230	16	forming	form	VERB
ejpam-797	1230	17	new	new	ADJ
ejpam-797	1230	18	residual	residual	ADJ
ejpam-797	1230	19	vectors	vector	NOUN
ejpam-797	1230	20	(	(	PUNCT
ejpam-797	1230	21	)	)	PUNCT
ejpam-797	1230	22	1	1	NUM
ejpam-797	1230	23	.	.	PUNCT
ejpam-797	1231	1	,	,	PUNCT
ejpam-797	1231	2	1,it	1,it	NUM
ejpam-797	1231	3	a	a	PRON
ejpam-797	1231	4	it	it	PRON
ejpam-797	1231	5	ik	ik	PROPN
ejpam-797	1231	6	kk	kk	PROPN
ejpam-797	1232	1	ktr	ktr	PROPN
ejpam-797	1232	2	r	r	PROPN
ejpam-797	1232	3	s	s	VERB
ejpam-797	1232	4	a	a	PRON
ejpam-797	1232	5	a	a	PRON
ejpam-797	1232	6	s	s	NOUN
ejpam-797	1232	7	a	a	PRON
ejpam-797	1232	8	a	a	DET
ejpam-797	1232	9	r	r	NOUN
ejpam-797	1233	1	i	i	PRON
ejpam-797	1233	2	k−′	k−′	NOUN
ejpam-797	1233	3	′=	′=	NOUN
ejpam-797	1233	4	−	−	PROPN
ejpam-797	1234	1	=	=	PUNCT
ejpam-797	1234	2	(	(	PUNCT
ejpam-797	1234	3	145	145	NUM
ejpam-797	1234	4	)	)	PUNCT
ejpam-797	1234	5	and	and	CCONJ
ejpam-797	1234	6	product	product	NOUN
ejpam-797	1234	7	moment	moment	NOUN
ejpam-797	1234	8	matrices	matrix	NOUN
ejpam-797	1234	9	(	(	PUNCT
ejpam-797	1234	10	)	)	PUNCT
ejpam-797	1234	11	.	.	PUNCT
ejpam-797	1234	12	.	.	PUNCT
ejpam-797	1235	1	.	.	PUNCT
ejpam-797	1236	1	1	1	NUM
ejpam-797	1236	2	1	1	NUM
ejpam-797	1236	3	1	1	NUM
ejpam-797	1236	4	,	,	PUNCT
ejpam-797	1236	5	,	,	PUNCT
ejpam-797	1236	6	1	1	NUM
ejpam-797	1236	7	,	,	PUNCT
ejpam-797	1236	8	t	t	PROPN
ejpam-797	1236	9	ij	ij	NOUN
ejpam-797	1236	10	a	a	DET
ejpam-797	1236	11	it	it	PRON
ejpam-797	1236	12	a	a	DET
ejpam-797	1236	13	jt	jt	PROPN
ejpam-797	1236	14	a	a	DET
ejpam-797	1236	15	t	t	PROPN
ejpam-797	1237	1	ij	ij	X
ejpam-797	1237	2	ik	ik	PROPN
ejpam-797	1237	3	kk	kk	PROPN
ejpam-797	1238	1	kj	kj	PROPN
ejpam-797	1238	2	s	s	PROPN
ejpam-797	1238	3	r	r	NOUN
ejpam-797	1238	4	r	r	NOUN
ejpam-797	1238	5	t	t	NOUN
ejpam-797	1238	6	s	s	NOUN
ejpam-797	1238	7	s	s	X
ejpam-797	1238	8	a	a	DET
ejpam-797	1238	9	a	a	DET
ejpam-797	1238	10	s	s	NOUN
ejpam-797	1238	11	a	a	DET
ejpam-797	1238	12	a	a	DET
ejpam-797	1238	13	s	s	X
ejpam-797	1239	1	i	i	NOUN
ejpam-797	1239	2	j	j	PROPN
ejpam-797	1240	1	k	k	NOUN
ejpam-797	1240	2	=	=	PUNCT
ejpam-797	1241	1	−	−	PROPN
ejpam-797	1241	2	′=	′=	PROPN
ejpam-797	1241	3	′	′	PROPN
ejpam-797	1241	4	′=	′=	PROPN
ejpam-797	1241	5	−	−	PROPN
ejpam-797	1242	1	=	=	PUNCT
ejpam-797	1242	2	∑	∑	PROPN
ejpam-797	1242	3	.	.	PUNCT
ejpam-797	1243	1	(	(	PUNCT
ejpam-797	1243	2	146	146	NUM
ejpam-797	1243	3	)	)	PUNCT
ejpam-797	1243	4	this	this	PRON
ejpam-797	1243	5	allows	allow	VERB
ejpam-797	1243	6	one	one	PRON
ejpam-797	1243	7	to	to	PART
ejpam-797	1243	8	write	write	VERB
ejpam-797	1243	9	(	(	PUNCT
ejpam-797	1243	10	143	143	NUM
ejpam-797	1243	11	)	)	PUNCT
ejpam-797	1243	12	as	as	ADP
ejpam-797	1243	13	.	.	PROPN
ejpam-797	1243	14	1	1	NUM
ejpam-797	1243	15	.	.	PUNCT
ejpam-797	1244	1	ˆkt	ˆkt	VERB
ejpam-797	1244	2	a	a	DET
ejpam-797	1244	3	t	t	NOUN
ejpam-797	1244	4	a	a	DET
ejpam-797	1244	5	ta	ta	ADP
ejpam-797	1244	6	r	r	NOUN
ejpam-797	1244	7	h	h	NOUN
ejpam-797	1244	8	r	r	NOUN
ejpam-797	1244	9	uψφ⊥	uψφ⊥	PUNCT
ejpam-797	1244	10	⊥′	⊥′	PROPN
ejpam-797	1244	11	′	′	NUM
ejpam-797	1244	12	′=	′=	PROPN
ejpam-797	1244	13	+	+	CCONJ
ejpam-797	1244	14	,	,	PUNCT
ejpam-797	1244	15	(	(	PUNCT
ejpam-797	1244	16	147	147	NUM
ejpam-797	1244	17	)	)	PUNCT
ejpam-797	1244	18	where	where	SCONJ
ejpam-797	1244	19	ˆ	ˆ	NOUN
ejpam-797	1244	20	ˆ	ˆ	ADJ
ejpam-797	1244	21	ˆˆt	ˆˆt	PROPN
ejpam-797	1244	22	t	t	PROPN
ejpam-797	1244	23	tu	tu	PROPN
ejpam-797	1244	24	a	a	DET
ejpam-797	1244	25	aε	aε	PROPN
ejpam-797	1244	26	ω	ω	NUM
ejpam-797	1244	27	ε⊥′	ε⊥′	PROPN
ejpam-797	1244	28	′=	′=	PROPN
ejpam-797	1244	29	−	−	PROPN
ejpam-797	1244	30	.	.	PUNCT
ejpam-797	1245	1	fixing	fix	VERB
ejpam-797	1245	2	φ	φ	PROPN
ejpam-797	1245	3	,	,	PUNCT
ejpam-797	1245	4	one	one	NUM
ejpam-797	1245	5	estimates	estimate	VERB
ejpam-797	1245	6	ψ	ψ	VERB
ejpam-797	1245	7	by	by	ADP
ejpam-797	1245	8	regressing	regress	VERB
ejpam-797	1245	9	.kt	.kt	PROPN
ejpam-797	1245	10	aa	aa	PROPN
ejpam-797	1245	11	r⊥′	r⊥′	PROPN
ejpam-797	1245	12	on	on	ADP
ejpam-797	1245	13	1	1	NUM
ejpam-797	1245	14	.t	.t	NOUN
ejpam-797	1245	15	ah	ah	INTJ
ejpam-797	1245	16	rφ	rφ	VERB
ejpam-797	1245	17	⊥′	⊥′	PROPN
ejpam-797	1245	18	′	′	NUM
ejpam-797	1245	19	,	,	PUNCT
ejpam-797	1245	20	which	which	DET
ejpam-797	1245	21	yields	yield	VERB
ejpam-797	1245	22	(	(	PUNCT
ejpam-797	1245	23	)	)	PUNCT
ejpam-797	1245	24	(	(	PUNCT
ejpam-797	1245	25	)	)	PUNCT
ejpam-797	1245	26	1	1	NUM
ejpam-797	1245	27	1	1	NUM
ejpam-797	1245	28	.	.	PUNCT
ejpam-797	1245	29	11.ˆ	11.ˆ	NUM
ejpam-797	1246	1	k	k	NOUN
ejpam-797	1246	2	a	a	DET
ejpam-797	1246	3	aa	aa	NOUN
ejpam-797	1246	4	s	s	VERB
ejpam-797	1247	1	h	h	NOUN
ejpam-797	1247	2	h	h	NOUN
ejpam-797	1247	3	s	s	PROPN
ejpam-797	1247	4	hψ	hψ	PROPN
ejpam-797	1247	5	φ	φ	PROPN
ejpam-797	1247	6	φ	φ	PROPN
ejpam-797	1247	7	φ	φ	PROPN
ejpam-797	1247	8	φ	φ	PROPN
ejpam-797	1247	9	−	−	PROPN
ejpam-797	1248	1	⊥	⊥	PROPN
ejpam-797	1248	2	⊥	⊥	PROPN
ejpam-797	1248	3	⊥	⊥	X
ejpam-797	1248	4	⊥′	⊥′	PROPN
ejpam-797	1248	5	′	′	NUM
ejpam-797	1248	6	′=	′=	PROPN
ejpam-797	1248	7	.	.	PUNCT
ejpam-797	1249	1	(	(	PUNCT
ejpam-797	1249	2	148	148	NUM
ejpam-797	1249	3	)	)	PUNCT
ejpam-797	1249	4	the	the	DET
ejpam-797	1249	5	factor	factor	NOUN
ejpam-797	1249	6	of	of	ADP
ejpam-797	1249	7	the	the	DET
ejpam-797	1249	8	maximized	maximized	ADJ
ejpam-797	1249	9	likelihood	likelihood	NOUN
ejpam-797	1249	10	corresponding	correspond	VERB
ejpam-797	1249	11	to	to	ADP
ejpam-797	1249	12	the	the	DET
ejpam-797	1249	13	conditional	conditional	ADJ
ejpam-797	1249	14	distribution	distribution	NOUN
ejpam-797	1249	15	is	be	AUX
ejpam-797	1249	16	,	,	PUNCT
ejpam-797	1249	17	apart	apart	ADV
ejpam-797	1249	18	from	from	ADP
ejpam-797	1249	19	a	a	DET
ejpam-797	1249	20	constant	constant	ADJ
ejpam-797	1249	21	,	,	PUNCT
ejpam-797	1249	22	.2	.2	NUM
ejpam-797	1249	23	max	max	PROPN
ejpam-797	1249	24	ˆ	ˆ	VERB
ejpam-797	1249	25	a	a	DET
ejpam-797	1249	26	a	a	PRON
ejpam-797	1249	27	at	at	ADP
ejpam-797	1249	28	cl	cl	NOUN
ejpam-797	1249	29	a	a	DET
ejpam-797	1249	30	a	a	DET
ejpam-797	1249	31	⊥	⊥	PROPN
ejpam-797	1249	32	⊥−	⊥−	NOUN
ejpam-797	1249	33	⊥	⊥	PROPN
ejpam-797	1249	34	⊥	⊥	PROPN
ejpam-797	1249	35	ω	ω	PROPN
ejpam-797	1249	36	=	=	SYM
ejpam-797	1249	37	′	′	NUM
ejpam-797	1249	38	,	,	PUNCT
ejpam-797	1249	39	(	(	PUNCT
ejpam-797	1249	40	149	149	NUM
ejpam-797	1249	41	)	)	PUNCT
ejpam-797	1249	42	where	where	SCONJ
ejpam-797	1249	43	references	reference	NOUN
ejpam-797	1249	44	569	569	NUM
ejpam-797	1249	45	(	(	PUNCT
ejpam-797	1249	46	)	)	PUNCT
ejpam-797	1249	47	1	1	NUM
ejpam-797	1249	48	.	.	X
ejpam-797	1249	49	1	1	NUM
ejpam-797	1249	50	a	a	DET
ejpam-797	1249	51	a	a	DET
ejpam-797	1249	52	a	a	DET
ejpam-797	1249	53	a	a	DET
ejpam-797	1249	54	a	a	DET
ejpam-797	1249	55	a	a	PRON
ejpam-797	1249	56	a	a	DET
ejpam-797	1249	57	aa	aa	NOUN
ejpam-797	1249	58	aa	aa	PROPN
ejpam-797	1249	59	a	a	PRON
ejpam-797	1249	60	a	a	DET
ejpam-797	1249	61	a	a	DET
ejpam-797	1249	62	a	a	DET
ejpam-797	1249	63	a	a	DET
ejpam-797	1249	64	a	a	DET
ejpam-797	1249	65	a	a	DET
ejpam-797	1249	66	a	a	DET
ejpam-797	1249	67	⊥	⊥	PROPN
ejpam-797	1249	68	⊥	⊥	NOUN
ejpam-797	1249	69	⊥	⊥	PROPN
ejpam-797	1249	70	⊥	⊥	PROPN
ejpam-797	1249	71	⊥	⊥	PROPN
ejpam-797	1249	72	⊥	⊥	NOUN
ejpam-797	1249	73	−	−	PROPN
ejpam-797	1249	74	−	−	PROPN
ejpam-797	1250	1	⊥	⊥	PROPN
ejpam-797	1250	2	⊥	⊥	PROPN
ejpam-797	1250	3	⊥	⊥	PROPN
ejpam-797	1250	4	⊥	⊥	PROPN
ejpam-797	1250	5	ω	ω	PROPN
ejpam-797	1250	6	=	=	SYM
ejpam-797	1250	7	ω	ω	PROPN
ejpam-797	1250	8	−	−	PROPN
ejpam-797	1250	9	ω	ω	NUM
ejpam-797	1250	10	ω	ω	PROPN
ejpam-797	1250	11	ω	ω	NOUN
ejpam-797	1250	12	′	′	NUM
ejpam-797	1250	13	′	′	NUM
ejpam-797	1251	1	′	′	NUM
ejpam-797	1252	1	′=	′=	PROPN
ejpam-797	1252	2	ω	ω	PROPN
ejpam-797	1252	3	−	−	PROPN
ejpam-797	1252	4	ω	ω	PROPN
ejpam-797	1252	5	ω	ω	PROPN
ejpam-797	1252	6	ω	ω	PROPN
ejpam-797	1252	7	.	.	PUNCT
ejpam-797	1253	1	(	(	PUNCT
ejpam-797	1253	2	150	150	NUM
ejpam-797	1253	3	)	)	PUNCT
ejpam-797	1253	4	the	the	DET
ejpam-797	1253	5	maximum	maximum	ADJ
ejpam-797	1253	6	likelihood	likelihood	NOUN
ejpam-797	1253	7	estimate	estimate	NOUN
ejpam-797	1253	8	of	of	ADP
ejpam-797	1253	9	the	the	DET
ejpam-797	1253	10	conditional	conditional	ADJ
ejpam-797	1253	11	variance	variance	NOUN
ejpam-797	1253	12	matrix	matrix	NOUN
ejpam-797	1253	13	is	be	AUX
ejpam-797	1253	14	(	(	PUNCT
ejpam-797	1253	15	)	)	PUNCT
ejpam-797	1253	16	.	.	PUNCT
ejpam-797	1254	1	1	1	NUM
ejpam-797	1254	2	1	1	NUM
ejpam-797	1254	3	.	.	PUNCT
ejpam-797	1255	1	1	1	NUM
ejpam-797	1255	2	.	.	X
ejpam-797	1255	3	11	11	NUM
ejpam-797	1255	4	.	.	X
ejpam-797	1256	1	1	1	NUM
ejpam-797	1256	2	.	.	PUNCT
ejpam-797	1257	1	1ˆ	1ˆ	NOUN
ejpam-797	1257	2	ˆ	ˆ	NOUN
ejpam-797	1257	3	ˆ	ˆ	NOUN
ejpam-797	1257	4	t	t	PROPN
ejpam-797	1257	5	a	a	DET
ejpam-797	1257	6	a	a	DET
ejpam-797	1257	7	a	a	PROPN
ejpam-797	1257	8	t	t	NOUN
ejpam-797	1257	9	t	t	NOUN
ejpam-797	1257	10	t	t	NOUN
ejpam-797	1257	11	kk	kk	PROPN
ejpam-797	1257	12	a	a	DET
ejpam-797	1257	13	k	k	PROPN
ejpam-797	1258	1	a	a	DET
ejpam-797	1258	2	a	a	DET
ejpam-797	1258	3	k	k	X
ejpam-797	1258	4	a	a	DET
ejpam-797	1258	5	u	u	X
ejpam-797	1258	6	u	u	X
ejpam-797	1258	7	t	t	PROPN
ejpam-797	1258	8	a	a	DET
ejpam-797	1258	9	s	s	X
ejpam-797	1258	10	a	a	DET
ejpam-797	1258	11	a	a	DET
ejpam-797	1258	12	s	s	NOUN
ejpam-797	1258	13	h	h	NOUN
ejpam-797	1258	14	h	h	NOUN
ejpam-797	1258	15	s	s	NOUN
ejpam-797	1259	1	h	h	NOUN
ejpam-797	1259	2	h	h	NOUN
ejpam-797	1259	3	s	s	PROPN
ejpam-797	1259	4	aφ	aφ	VERB
ejpam-797	1259	5	φ	φ	PROPN
ejpam-797	1259	6	φ	φ	PROPN
ejpam-797	1259	7	φ	φ	PROPN
ejpam-797	1259	8	⊥	⊥	PROPN
ejpam-797	1259	9	⊥	⊥	PROPN
ejpam-797	1259	10	=	=	PUNCT
ejpam-797	1260	1	−	−	PROPN
ejpam-797	1261	1	⊥	⊥	X
ejpam-797	1261	2	⊥	⊥	PROPN
ejpam-797	1261	3	⊥	⊥	PROPN
ejpam-797	1261	4	⊥	⊥	PROPN
ejpam-797	1261	5	⊥	⊥	PROPN
ejpam-797	1261	6	⊥	⊥	PROPN
ejpam-797	1261	7	⊥	⊥	X
ejpam-797	1261	8	⊥	⊥	NOUN
ejpam-797	1261	9	′ω	′ω	NOUN
ejpam-797	1261	10	=	=	NOUN
ejpam-797	1261	11	′	′	NUM
ejpam-797	1262	1	′	′	NUM
ejpam-797	1263	1	′	′	NUM
ejpam-797	1264	1	′	′	NUM
ejpam-797	1264	2	′	′	NUM
ejpam-797	1265	1	′=	′=	PROPN
ejpam-797	1265	2	−	−	PROPN
ejpam-797	1265	3	∑	∑	PROPN
ejpam-797	1265	4	,	,	PUNCT
ejpam-797	1265	5	which	which	PRON
ejpam-797	1265	6	gives	give	VERB
ejpam-797	1265	7	,	,	PUNCT
ejpam-797	1265	8	apart	apart	ADV
ejpam-797	1265	9	from	from	ADP
ejpam-797	1265	10	a	a	DET
ejpam-797	1265	11	constant	constant	ADJ
ejpam-797	1265	12	,	,	PUNCT
ejpam-797	1265	13	the	the	DET
ejpam-797	1265	14	maximized	maximized	ADJ
ejpam-797	1265	15	likelihood	likelihood	NOUN
ejpam-797	1265	16	for	for	ADP
ejpam-797	1265	17	the	the	DET
ejpam-797	1265	18	conditional	conditional	ADJ
ejpam-797	1265	19	factor	factor	NOUN
ejpam-797	1265	20	as	as	ADP
ejpam-797	1265	21	(	(	PUNCT
ejpam-797	1265	22	)	)	PUNCT
ejpam-797	1265	23	1	1	NUM
ejpam-797	1265	24	.	.	X
ejpam-797	1266	1	1	1	NUM
ejpam-797	1266	2	.	.	X
ejpam-797	1266	3	11	11	NUM
ejpam-797	1266	4	.	.	NOUN
ejpam-797	1266	5	1	1	NUM
ejpam-797	1266	6	.	.	X
ejpam-797	1266	7	2	2	NUM
ejpam-797	1266	8	max	max	PROPN
ejpam-797	1266	9	kk	kk	PROPN
ejpam-797	1266	10	a	a	PROPN
ejpam-797	1266	11	k	k	PROPN
ejpam-797	1266	12	a	a	PRON
ejpam-797	1266	13	a	a	DET
ejpam-797	1266	14	k	k	X
ejpam-797	1266	15	a	a	DET
ejpam-797	1266	16	t	t	NOUN
ejpam-797	1266	17	c	c	PROPN
ejpam-797	1266	18	a	a	DET
ejpam-797	1266	19	s	s	X
ejpam-797	1267	1	a	a	DET
ejpam-797	1267	2	a	a	DET
ejpam-797	1267	3	s	s	NOUN
ejpam-797	1267	4	h	h	NOUN
ejpam-797	1267	5	h	h	NOUN
ejpam-797	1267	6	s	s	NOUN
ejpam-797	1267	7	h	h	NOUN
ejpam-797	1268	1	h	h	NOUN
ejpam-797	1268	2	s	s	VERB
ejpam-797	1268	3	a	a	DET
ejpam-797	1268	4	l	l	NOUN
ejpam-797	1268	5	a	a	PRON
ejpam-797	1268	6	a	a	DET
ejpam-797	1268	7	φ	φ	PROPN
ejpam-797	1268	8	φ	φ	PROPN
ejpam-797	1268	9	φ	φ	PROPN
ejpam-797	1268	10	φ	φ	PROPN
ejpam-797	1268	11	−	−	PROPN
ejpam-797	1269	1	⊥	⊥	PROPN
ejpam-797	1269	2	⊥	⊥	PROPN
ejpam-797	1269	3	⊥	⊥	PROPN
ejpam-797	1269	4	⊥	⊥	PROPN
ejpam-797	1269	5	⊥	⊥	PROPN
ejpam-797	1269	6	⊥	⊥	PROPN
ejpam-797	1269	7	⊥	⊥	PROPN
ejpam-797	1269	8	⊥	⊥	NOUN
ejpam-797	1269	9	−	−	PROPN
ejpam-797	1269	10	⊥	⊥	NOUN
ejpam-797	1269	11	⊥	⊥	NOUN
ejpam-797	1269	12	′	′	NUM
ejpam-797	1270	1	′	′	NUM
ejpam-797	1271	1	′	′	NUM
ejpam-797	1272	1	′	′	NUM
ejpam-797	1273	1	′	′	NUM
ejpam-797	1274	1	′−	′−	NOUN
ejpam-797	1275	1	=	=	PUNCT
ejpam-797	1276	1	′	′	NUM
ejpam-797	1277	1	(	(	PUNCT
ejpam-797	1277	2	151	151	NUM
ejpam-797	1277	3	)	)	PUNCT
ejpam-797	1277	4	(	(	PUNCT
ejpam-797	1277	5	)	)	PUNCT
ejpam-797	1277	6	1	1	NUM
ejpam-797	1277	7	.	.	PUNCT
ejpam-797	1278	1	11	11	NUM
ejpam-797	1278	2	.	.	NOUN
ejpam-797	1278	3	1	1	NUM
ejpam-797	1278	4	.	.	PUNCT
ejpam-797	1278	5	.	.	PUNCT
ejpam-797	1279	1	1	1	NUM
ejpam-797	1279	2	.	.	X
ejpam-797	1279	3	11	11	NUM
ejpam-797	1279	4	.	.	PUNCT
ejpam-797	1280	1	kk	kk	INTJ
ejpam-797	1280	2	a	a	DET
ejpam-797	1280	3	a	a	DET
ejpam-797	1280	4	k	k	X
ejpam-797	1280	5	a	a	X
ejpam-797	1280	6	kk	kk	INTJ
ejpam-797	1281	1	a	a	PRON
ejpam-797	1281	2	k	k	PROPN
ejpam-797	1281	3	a	a	PRON
ejpam-797	1281	4	a	a	DET
ejpam-797	1281	5	a	a	PRON
ejpam-797	1281	6	s	s	NOUN
ejpam-797	1281	7	a	a	DET
ejpam-797	1281	8	h	h	NOUN
ejpam-797	1282	1	s	s	NOUN
ejpam-797	1283	1	h	h	NOUN
ejpam-797	1284	1	h	h	NOUN
ejpam-797	1284	2	s	s	VERB
ejpam-797	1284	3	a	a	PRON
ejpam-797	1284	4	a	a	DET
ejpam-797	1284	5	s	s	NOUN
ejpam-797	1284	6	a	a	DET
ejpam-797	1284	7	a	a	DET
ejpam-797	1284	8	s	s	NOUN
ejpam-797	1284	9	h	h	NOUN
ejpam-797	1284	10	a	a	DET
ejpam-797	1284	11	a	a	DET
ejpam-797	1284	12	h	h	NOUN
ejpam-797	1284	13	s	s	NOUN
ejpam-797	1285	1	h	h	NOUN
ejpam-797	1285	2	φ	φ	PROPN
ejpam-797	1285	3	φ	φ	PROPN
ejpam-797	1285	4	φ	φ	PROPN
ejpam-797	1285	5	φ	φ	PROPN
ejpam-797	1285	6	φ	φ	PROPN
ejpam-797	1285	7	φ	φ	PROPN
ejpam-797	1285	8	−	−	PROPN
ejpam-797	1286	1	⊥	⊥	PROPN
ejpam-797	1286	2	⊥	⊥	PROPN
ejpam-797	1286	3	⊥	⊥	PROPN
ejpam-797	1286	4	⊥	⊥	PROPN
ejpam-797	1286	5	⊥	⊥	PROPN
ejpam-797	1286	6	⊥	⊥	PROPN
ejpam-797	1286	7	⊥	⊥	PROPN
ejpam-797	1286	8	⊥	⊥	PROPN
ejpam-797	1286	9	⊥	⊥	PROPN
ejpam-797	1286	10	⊥	⊥	PROPN
ejpam-797	1286	11	⊥	⊥	PROPN
ejpam-797	1286	12	⊥	⊥	PROPN
ejpam-797	1286	13	⊥	⊥	X
ejpam-797	1286	14	⊥	⊥	NOUN
ejpam-797	1286	15	′	′	NUM
ejpam-797	1286	16	′	′	NUM
ejpam-797	1287	1	′	′	NUM
ejpam-797	1288	1	′	′	NUM
ejpam-797	1289	1	′	′	NUM
ejpam-797	1290	1	′	′	NUM
ejpam-797	1291	1	′−	′−	PROPN
ejpam-797	1292	1	=	=	PUNCT
ejpam-797	1293	1	′	′	NUM
ejpam-797	1294	1	′	′	NUM
ejpam-797	1294	2	′	′	NUM
ejpam-797	1294	3	.	.	PUNCT
ejpam-797	1295	1	(	(	PUNCT
ejpam-797	1295	2	152	152	NUM
ejpam-797	1295	3	)	)	PUNCT
ejpam-797	1295	4	the	the	DET
ejpam-797	1295	5	conditional	conditional	ADJ
ejpam-797	1295	6	likelihood	likelihood	NOUN
ejpam-797	1295	7	is	be	AUX
ejpam-797	1295	8	maximized	maximize	VERB
ejpam-797	1295	9	by	by	ADP
ejpam-797	1295	10	minimizing	minimize	VERB
ejpam-797	1295	11	(	(	PUNCT
ejpam-797	1295	12	152	152	NUM
ejpam-797	1295	13	)	)	PUNCT
ejpam-797	1295	14	with	with	ADP
ejpam-797	1295	15	respect	respect	NOUN
ejpam-797	1295	16	to	to	ADP
ejpam-797	1295	17	φ	φ	PROPN
ejpam-797	1295	18	,	,	PUNCT
ejpam-797	1295	19	which	which	PRON
ejpam-797	1295	20	is	be	AUX
ejpam-797	1295	21	done	do	VERB
ejpam-797	1295	22	by	by	ADP
ejpam-797	1295	23	solving	solve	VERB
ejpam-797	1295	24	the	the	DET
ejpam-797	1295	25	eigenvalue	eigenvalue	PROPN
ejpam-797	1295	26	problem	problem	NOUN
ejpam-797	1295	27	(	(	PUNCT
ejpam-797	1295	28	)	)	PUNCT
ejpam-797	1295	29	1	1	NUM
ejpam-797	1295	30	11	11	NUM
ejpam-797	1295	31	.	.	NOUN
ejpam-797	1296	1	1	1	NUM
ejpam-797	1296	2	.	.	PUNCT
ejpam-797	1296	3	.	.	PUNCT
ejpam-797	1297	1	1	1	X
ejpam-797	1297	2	.	.	X
ejpam-797	1297	3	0a	0a	PROPN
ejpam-797	1297	4	k	k	PROPN
ejpam-797	1298	1	a	a	PRON
ejpam-797	1298	2	kk	kk	INTJ
ejpam-797	1298	3	a	a	PRON
ejpam-797	1298	4	k	k	X
ejpam-797	1298	5	ah	ah	INTJ
ejpam-797	1298	6	s	s	VERB
ejpam-797	1298	7	h	h	NOUN
ejpam-797	1298	8	h	h	NOUN
ejpam-797	1298	9	s	s	VERB
ejpam-797	1298	10	a	a	PRON
ejpam-797	1298	11	a	a	DET
ejpam-797	1298	12	s	s	NOUN
ejpam-797	1298	13	a	a	DET
ejpam-797	1298	14	a	a	DET
ejpam-797	1298	15	s	s	NOUN
ejpam-797	1298	16	hλ	hλ	NOUN
ejpam-797	1298	17	−	−	PROPN
ejpam-797	1299	1	⊥	⊥	PROPN
ejpam-797	1299	2	⊥	⊥	PROPN
ejpam-797	1299	3	⊥	⊥	PROPN
ejpam-797	1299	4	⊥	⊥	PROPN
ejpam-797	1299	5	⊥	⊥	PROPN
ejpam-797	1299	6	⊥	⊥	PROPN
ejpam-797	1299	7	⊥	⊥	ADJ
ejpam-797	1299	8	⊥′	⊥′	PROPN
ejpam-797	1299	9	′	′	NUM
ejpam-797	1299	10	′−	′−	PROPN
ejpam-797	1299	11	=	=	PUNCT
ejpam-797	1299	12	(	(	PUNCT
ejpam-797	1299	13	153	153	NUM
ejpam-797	1299	14	)	)	PUNCT
ejpam-797	1299	15	for	for	ADP
ejpam-797	1299	16	1	1	NUM
ejpam-797	1299	17	11	11	NUM
ejpam-797	1299	18	0s	0s	NOUN
ejpam-797	1299	19	r	r	NOUN
ejpam-797	1299	20	s	s	NOUN
ejpam-797	1299	21	r	r	NOUN
ejpam-797	1299	22	p	p	NOUN
ejpam-797	1299	23	sλ	sλ	NOUN
ejpam-797	1299	24	λ	λ	X
ejpam-797	1299	25	λ	λ	X
ejpam-797	1299	26	λ−	λ−	PROPN
ejpam-797	1299	27	−	−	PROPN
ejpam-797	1300	1	+	+	CCONJ
ejpam-797	1300	2	−≥	−≥	PROPN
ejpam-797	1300	3	≥	≥	NOUN
ejpam-797	1300	4	≥	≥	NOUN
ejpam-797	1300	5	≥	≥	NOUN
ejpam-797	1300	6	=	=	PUNCT
ejpam-797	1300	7	=	=	PUNCT
ejpam-797	1300	8	=	=	ADJ
ejpam-797	1300	9			X
ejpam-797	1300	10			X
ejpam-797	1300	11			PROPN
ejpam-797	1300	12			PROPN
ejpam-797	1300	13			NUM
ejpam-797	1300	14			NUM
ejpam-797	1300	15	and	and	CCONJ
ejpam-797	1300	16	for	for	ADP
ejpam-797	1300	17	eigenvectors	eigenvector	NOUN
ejpam-797	1300	18	(	(	PUNCT
ejpam-797	1300	19	)	)	PUNCT
ejpam-797	1300	20	1	1	NUM
ejpam-797	1300	21	,	,	PUNCT
ejpam-797	1300	22	,	,	PUNCT
ejpam-797	1300	23	p	p	NOUN
ejpam-797	1300	24	sv	sv	PROPN
ejpam-797	1300	25	v	v	ADP
ejpam-797	1300	26	v	v	NUM
ejpam-797	1300	27	−=	−=	PRON
ejpam-797	1300	28			ADJ
ejpam-797	1300	29			NOUN
ejpam-797	1300	30			PROPN
ejpam-797	1300	31	,	,	PUNCT
ejpam-797	1300	32	normalized	normalize	VERB
ejpam-797	1300	33	so	so	SCONJ
ejpam-797	1300	34	that	that	SCONJ
ejpam-797	1300	35	11.a	11.a	NUM
ejpam-797	1300	36	p	p	X
ejpam-797	1300	37	rv	rv	PROPN
ejpam-797	1301	1	h	h	PROPN
ejpam-797	1301	2	s	s	PROPN
ejpam-797	1301	3	h	h	NOUN
ejpam-797	1301	4	v	v	NOUN
ejpam-797	1302	1	i⊥	i⊥	PROPN
ejpam-797	1303	1	⊥	⊥	NOUN
ejpam-797	1303	2	−′	−′	PROPN
ejpam-797	1303	3	′	′	NUM
ejpam-797	1304	1	=	=	ADJ
ejpam-797	1304	2			X
ejpam-797	1304	3			NOUN
ejpam-797	1304	4	.	.	PUNCT
ejpam-797	1305	1	the	the	DET
ejpam-797	1305	2	maximand	maximand	PROPN
ejpam-797	1305	3	of	of	ADP
ejpam-797	1305	4	the	the	DET
ejpam-797	1305	5	likelihood	likelihood	NOUN
ejpam-797	1305	6	function	function	NOUN
ejpam-797	1305	7	is	be	AUX
ejpam-797	1305	8	(	(	PUNCT
ejpam-797	1305	9	)	)	SYM
ejpam-797	1305	10	1	1	NUM
ejpam-797	1305	11	ˆ	ˆ	NOUN
ejpam-797	1305	12	,	,	PUNCT
ejpam-797	1305	13	,	,	PUNCT
ejpam-797	1305	14	r	r	NOUN
ejpam-797	1305	15	sv	sv	VERB
ejpam-797	1305	16	vφ	vφ	PROPN
ejpam-797	1305	17	−=	−=	X
ejpam-797	1305	18			X
ejpam-797	1305	19			PROPN
ejpam-797	1305	20			PROPN
ejpam-797	1305	21	,	,	PUNCT
ejpam-797	1305	22	from	from	ADP
ejpam-797	1305	23	which	which	PRON
ejpam-797	1305	24	one	one	NOUN
ejpam-797	1305	25	then	then	ADV
ejpam-797	1305	26	can	can	AUX
ejpam-797	1305	27	recover	recover	VERB
ejpam-797	1305	28	the	the	DET
ejpam-797	1305	29	parameters	parameter	NOUN
ejpam-797	1305	30	(	(	PUNCT
ejpam-797	1305	31	52	52	NUM
ejpam-797	1305	32	)	)	PUNCT
ejpam-797	1305	33	to	to	ADP
ejpam-797	1305	34	(	(	PUNCT
ejpam-797	1305	35	54	54	NUM
ejpam-797	1305	36	)	)	PUNCT
ejpam-797	1305	37	,	,	PUNCT
ejpam-797	1305	38	and	and	CCONJ
ejpam-797	1305	39	the	the	DET
ejpam-797	1305	40	maximized	maximized	ADJ
ejpam-797	1305	41	likelihood	likelihood	NOUN
ejpam-797	1305	42	function	function	NOUN
ejpam-797	1305	43	for	for	ADP
ejpam-797	1305	44	the	the	DET
ejpam-797	1305	45	conditional	conditional	ADJ
ejpam-797	1305	46	piece	piece	NOUN
ejpam-797	1305	47	,	,	PUNCT
ejpam-797	1305	48	apart	apart	ADV
ejpam-797	1305	49	from	from	ADP
ejpam-797	1305	50	a	a	DET
ejpam-797	1305	51	constant	constant	ADJ
ejpam-797	1305	52	,	,	PUNCT
ejpam-797	1305	53	is	be	AUX
ejpam-797	1305	54	(	(	PUNCT
ejpam-797	1305	55	)	)	PUNCT
ejpam-797	1306	1	.2	.2	NUM
ejpam-797	1306	2	max	max	NOUN
ejpam-797	1306	3	1	1	NUM
ejpam-797	1306	4	1	1	NUM
ejpam-797	1306	5	r	r	NOUN
ejpam-797	1306	6	s	s	NOUN
ejpam-797	1306	7	kk	kk	NOUN
ejpam-797	1306	8	at	at	ADP
ejpam-797	1306	9	c	c	PROPN
ejpam-797	1306	10	i	i	PRON
ejpam-797	1306	11	i	i	PRON
ejpam-797	1306	12	a	a	PRON
ejpam-797	1306	13	s	s	X
ejpam-797	1306	14	a	a	DET
ejpam-797	1306	15	l	l	NOUN
ejpam-797	1306	16	a	a	DET
ejpam-797	1306	17	a	a	DET
ejpam-797	1306	18	λ	λ	NOUN
ejpam-797	1306	19	−	−	PROPN
ejpam-797	1306	20	⊥	⊥	NOUN
ejpam-797	1306	21	⊥−	⊥−	NOUN
ejpam-797	1307	1	=	=	SYM
ejpam-797	1307	2	⊥	⊥	PROPN
ejpam-797	1307	3	⊥	⊥	NOUN
ejpam-797	1307	4	′	′	NUM
ejpam-797	1308	1	=	=	PUNCT
ejpam-797	1308	2	−	−	PROPN
ejpam-797	1308	3	′	′	NUM
ejpam-797	1308	4	∏	∏	NUM
ejpam-797	1308	5			NOUN
ejpam-797	1308	6	.	.	PUNCT
ejpam-797	1309	1	(	(	PUNCT
ejpam-797	1309	2	154	154	NUM
ejpam-797	1309	3	)	)	PUNCT
ejpam-797	1309	4	the	the	DET
ejpam-797	1309	5	maximum	maximum	NOUN
ejpam-797	1309	6	of	of	ADP
ejpam-797	1309	7	the	the	DET
ejpam-797	1309	8	factor	factor	NOUN
ejpam-797	1309	9	corresponding	correspond	VERB
ejpam-797	1309	10	to	to	ADP
ejpam-797	1309	11	the	the	DET
ejpam-797	1309	12	likelihood	likelihood	NOUN
ejpam-797	1309	13	function	function	NOUN
ejpam-797	1309	14	for	for	ADP
ejpam-797	1309	15	the	the	DET
ejpam-797	1309	16	marginal	marginal	ADJ
ejpam-797	1309	17	piece	piece	NOUN
ejpam-797	1309	18	based	base	VERB
ejpam-797	1309	19	on	on	ADP
ejpam-797	1309	20	(	(	PUNCT
ejpam-797	1309	21	141	141	NUM
ejpam-797	1309	22	)	)	PUNCT
ejpam-797	1309	23	is	be	AUX
ejpam-797	1309	24	,	,	PUNCT
ejpam-797	1309	25	apart	apart	ADV
ejpam-797	1309	26	from	from	ADP
ejpam-797	1309	27	a	a	DET
ejpam-797	1309	28	constant	constant	ADJ
ejpam-797	1309	29	,	,	PUNCT
ejpam-797	1309	30	2	2	NUM
ejpam-797	1309	31	max	max	NOUN
ejpam-797	1309	32	ˆ	ˆ	NOUN
ejpam-797	1309	33	aat	aat	VERB
ejpam-797	1309	34	ml	ml	ADP
ejpam-797	1309	35	a	a	DET
ejpam-797	1309	36	a	a	DET
ejpam-797	1309	37	−	−	PROPN
ejpam-797	1309	38	ω	ω	NOUN
ejpam-797	1309	39	=	=	NOUN
ejpam-797	1309	40	′	′	NOUN
ejpam-797	1309	41	.	.	PUNCT
ejpam-797	1310	1	the	the	DET
ejpam-797	1310	2	denominator	denominator	NOUN
ejpam-797	1310	3	is	be	AUX
ejpam-797	1310	4	estimated	estimate	VERB
ejpam-797	1310	5	by	by	ADP
ejpam-797	1310	6	(	(	PUNCT
ejpam-797	1310	7	)	)	PUNCT
ejpam-797	1310	8	(	(	PUNCT
ejpam-797	1310	9	)	)	PUNCT
ejpam-797	1310	10	(	(	PUNCT
ejpam-797	1310	11	)	)	SYM
ejpam-797	1310	12	1	1	NUM
ejpam-797	1310	13	1	1	NUM
ejpam-797	1310	14	1ˆ	1ˆ	NOUN
ejpam-797	1310	15	ˆ	ˆ	NOUN
ejpam-797	1310	16	ˆ	ˆ	NOUN
ejpam-797	1310	17	ˆ	ˆ	ADV
ejpam-797	1310	18	ˆaa	ˆaa	ADV
ejpam-797	1310	19	k	k	PROPN
ejpam-797	1310	20	k	k	PROPN
ejpam-797	1310	21	kka	kka	PROPN
ejpam-797	1310	22	a	a	DET
ejpam-797	1310	23	a	a	DET
ejpam-797	1310	24	a	a	DET
ejpam-797	1310	25	a	a	DET
ejpam-797	1310	26	a	a	DET
ejpam-797	1310	27	a	a	DET
ejpam-797	1310	28	r	r	NOUN
ejpam-797	1310	29	r	r	NOUN
ejpam-797	1310	30	a	a	DET
ejpam-797	1310	31	a	a	DET
ejpam-797	1310	32	s	s	NOUN
ejpam-797	1310	33	a	a	DET
ejpam-797	1310	34	t	t	NOUN
ejpam-797	1310	35	t	t	NOUN
ejpam-797	1310	36	t	t	NOUN
ejpam-797	1310	37	εε′	εε′	NOUN
ejpam-797	1311	1	′	′	NUM
ejpam-797	1311	2	′	′	NUM
ejpam-797	1312	1	′	′	NUM
ejpam-797	1313	1	′	′	NUM
ejpam-797	1314	1	′	′	NUM
ejpam-797	1315	1	′ω	′ω	VERB
ejpam-797	1315	2	=	=	SYM
ejpam-797	1315	3	ω	ω	PROPN
ejpam-797	1315	4	=	=	SYM
ejpam-797	1315	5	ω	ω	PROPN
ejpam-797	1315	6	=	=	PUNCT
ejpam-797	1316	1	=	=	SYM
ejpam-797	1316	2	=	=	X
ejpam-797	1316	3	,	,	PUNCT
ejpam-797	1316	4	and	and	CCONJ
ejpam-797	1316	5	thus	thus	ADV
ejpam-797	1316	6	2	2	NUM
ejpam-797	1316	7	max	max	PROPN
ejpam-797	1316	8	kkt	kkt	PROPN
ejpam-797	1316	9	m	m	PROPN
ejpam-797	1316	10	a	a	DET
ejpam-797	1316	11	s	s	X
ejpam-797	1316	12	a	a	DET
ejpam-797	1316	13	l	l	NOUN
ejpam-797	1316	14	a	a	PRON
ejpam-797	1316	15	a	a	DET
ejpam-797	1316	16	−	−	NOUN
ejpam-797	1316	17	′	′	NUM
ejpam-797	1316	18	=	=	NOUN
ejpam-797	1316	19	′	′	NOUN
ejpam-797	1316	20	.	.	PUNCT
ejpam-797	1317	1	(	(	PUNCT
ejpam-797	1317	2	155	155	NUM
ejpam-797	1317	3	)	)	PUNCT
ejpam-797	1317	4	the	the	DET
ejpam-797	1317	5	variance	variance	NOUN
ejpam-797	1317	6	-	-	PUNCT
ejpam-797	1317	7	covariance	covariance	NOUN
ejpam-797	1317	8	matrix	matrix	NOUN
ejpam-797	1317	9	is	be	AUX
ejpam-797	1317	10	then	then	ADV
ejpam-797	1317	11	estimated	estimate	VERB
ejpam-797	1317	12	by	by	ADP
ejpam-797	1317	13	[	[	PUNCT
ejpam-797	1317	14	]	]	X
ejpam-797	1317	15	[	[	PUNCT
ejpam-797	1317	16	]	]	X
ejpam-797	1317	17	ˆ	ˆ	NOUN
ejpam-797	1317	18	ˆ	ˆ	NOUN
ejpam-797	1317	19	ˆ	ˆ	NOUN
ejpam-797	1317	20	ˆ	ˆ	NOUN
ejpam-797	1317	21	ˆ	ˆ	ADV
ejpam-797	1317	22	aa	aa	ADV
ejpam-797	1317	23	aa	aa	INTJ
ejpam-797	1317	24	a	a	DET
ejpam-797	1317	25	a	a	DET
ejpam-797	1317	26	a	a	DET
ejpam-797	1317	27	a	a	DET
ejpam-797	1317	28	a	a	DET
ejpam-797	1317	29	a	a	DET
ejpam-797	1317	30	a	a	DET
ejpam-797	1317	31	a⊥	a⊥	NOUN
ejpam-797	1317	32	⊥	⊥	NOUN
ejpam-797	1317	33	⊥	⊥	NOUN
ejpam-797	1317	34	⊥	⊥	PROPN
ejpam-797	1317	35	⊥	⊥	X
ejpam-797	1317	36	⊥	⊥	PROPN
ejpam-797	1317	37			PROPN
ejpam-797	1317	38	ω	ω	PROPN
ejpam-797	1317	39	ω	ω	PROPN
ejpam-797	1317	40	′	′	PROPN
ejpam-797	1317	41	ω	ω	VERB
ejpam-797	1318	1	=	=	PUNCT
ejpam-797	1318	2			X
ejpam-797	1318	3	ω	ω	X
ejpam-797	1318	4	ω	ω	ADV
ejpam-797	1318	5			PROPN
ejpam-797	1318	6	,	,	PUNCT
ejpam-797	1318	7	(	(	PUNCT
ejpam-797	1318	8	156	156	NUM
ejpam-797	1318	9	)	)	PUNCT
ejpam-797	1318	10	where	where	SCONJ
ejpam-797	1318	11	the	the	DET
ejpam-797	1318	12	estimators	estimator	NOUN
ejpam-797	1318	13	of	of	ADP
ejpam-797	1318	14	aaω	aaω	NOUN
ejpam-797	1318	15	,	,	PUNCT
ejpam-797	1318	16	1	1	NUM
ejpam-797	1318	17	a	a	DET
ejpam-797	1318	18	a	a	DET
ejpam-797	1318	19	aaω	aaω	NOUN
ejpam-797	1318	20	⊥	⊥	PROPN
ejpam-797	1318	21	−=	−=	PROPN
ejpam-797	1318	22	ω	ω	PROPN
ejpam-797	1318	23	ω	ω	NOUN
ejpam-797	1318	24	,	,	PUNCT
ejpam-797	1318	25	and	and	CCONJ
ejpam-797	1318	26	1	1	NUM
ejpam-797	1318	27	.a	.a	NOUN
ejpam-797	1318	28	a	a	DET
ejpam-797	1318	29	a	a	DET
ejpam-797	1318	30	a	a	DET
ejpam-797	1318	31	a	a	DET
ejpam-797	1318	32	a	a	PRON
ejpam-797	1318	33	a	a	DET
ejpam-797	1318	34	aa	aa	NOUN
ejpam-797	1318	35	aa⊥	aa⊥	PROPN
ejpam-797	1318	36	⊥	⊥	PROPN
ejpam-797	1318	37	⊥	⊥	PROPN
ejpam-797	1318	38	⊥	⊥	PROPN
ejpam-797	1318	39	⊥	⊥	X
ejpam-797	1318	40	⊥	⊥	X
ejpam-797	1318	41	−ω	−ω	NOUN
ejpam-797	1318	42	=	=	SYM
ejpam-797	1318	43	ω	ω	PROPN
ejpam-797	1318	44	−	−	PROPN
ejpam-797	1318	45	ω	ω	PROPN
ejpam-797	1318	46	ω	ω	PROPN
ejpam-797	1318	47	ω	ω	NOUN
ejpam-797	1318	48	are	be	AUX
ejpam-797	1318	49	used	use	VERB
ejpam-797	1318	50	to	to	PART
ejpam-797	1318	51	recover	recover	VERB
ejpam-797	1318	52	ˆ	ˆ	ADJ
ejpam-797	1318	53	aaω	aaω	NOUN
ejpam-797	1318	54	,	,	PUNCT
ejpam-797	1318	55	ˆ	ˆ	ADV
ejpam-797	1318	56	ˆˆa	ˆˆa	NOUN
ejpam-797	1318	57	a	a	DET
ejpam-797	1318	58	aaω	aaω	NOUN
ejpam-797	1318	59	⊥	⊥	PROPN
ejpam-797	1318	60	ω	ω	PROPN
ejpam-797	1318	61	=	=	SYM
ejpam-797	1318	62	ω	ω	PROPN
ejpam-797	1318	63	,	,	PUNCT
ejpam-797	1318	64	ˆ	ˆ	PRON
ejpam-797	1318	65	ˆ	ˆ	NOUN
ejpam-797	1318	66	aa	aa	ADV
ejpam-797	1318	67	a	a	DET
ejpam-797	1318	68	a⊥	a⊥	NOUN
ejpam-797	1318	69	⊥	⊥	X
ejpam-797	1318	70	′ω	′ω	NOUN
ejpam-797	1318	71	=	=	SYM
ejpam-797	1318	72	ω	ω	PROPN
ejpam-797	1318	73	,	,	PUNCT
ejpam-797	1318	74	and	and	CCONJ
ejpam-797	1318	75	.	.	PUNCT
ejpam-797	1319	1	ˆ	ˆ	NOUN
ejpam-797	1319	2	ˆ	ˆ	ADV
ejpam-797	1319	3	ˆˆa	ˆˆa	VERB
ejpam-797	1319	4	a	a	DET
ejpam-797	1319	5	a	a	DET
ejpam-797	1319	6	a	a	NOUN
ejpam-797	1319	7	a	a	DET
ejpam-797	1319	8	aaω	aaω	NOUN
ejpam-797	1319	9	⊥	⊥	PROPN
ejpam-797	1319	10	⊥	⊥	NOUN
ejpam-797	1320	1	⊥	⊥	PROPN
ejpam-797	1320	2	⊥	⊥	PROPN
ejpam-797	1320	3	⊥	⊥	PROPN
ejpam-797	1320	4	ω	ω	PROPN
ejpam-797	1320	5	=	=	SYM
ejpam-797	1320	6	ω	ω	PROPN
ejpam-797	1320	7	+	+	PROPN
ejpam-797	1320	8	ω	ω	NUM
ejpam-797	1320	9	.	.	PUNCT
ejpam-797	1321	1	the	the	DET
ejpam-797	1321	2	product	product	NOUN
ejpam-797	1321	3	of	of	ADP
ejpam-797	1321	4	(	(	PUNCT
ejpam-797	1321	5	154	154	NUM
ejpam-797	1321	6	)	)	PUNCT
ejpam-797	1321	7	and	and	CCONJ
ejpam-797	1321	8	(	(	PUNCT
ejpam-797	1321	9	155	155	NUM
ejpam-797	1321	10	)	)	PUNCT
ejpam-797	1321	11	yield	yield	NOUN
ejpam-797	1321	12	,	,	PUNCT
ejpam-797	1321	13	apart	apart	ADV
ejpam-797	1321	14	from	from	ADP
ejpam-797	1321	15	a	a	DET
ejpam-797	1321	16	constant	constant	ADJ
ejpam-797	1321	17	,	,	PUNCT
ejpam-797	1321	18	the	the	DET
ejpam-797	1321	19	maximized	maximized	ADJ
ejpam-797	1321	20	likelihood	likelihood	NOUN
ejpam-797	1321	21	references	reference	NOUN
ejpam-797	1321	22	570	570	NUM
ejpam-797	1321	23	(	(	PUNCT
ejpam-797	1321	24	)	)	PUNCT
ejpam-797	1321	25	.2	.2	NUM
ejpam-797	1321	26	max	max	PROPN
ejpam-797	1321	27	1	1	NUM
ejpam-797	1321	28	1	1	NUM
ejpam-797	1321	29	r	r	NOUN
ejpam-797	1321	30	s	s	X
ejpam-797	1321	31	kk	kk	INTJ
ejpam-797	1321	32	kk	kk	PROPN
ejpam-797	1321	33	at	at	ADP
ejpam-797	1321	34	i	i	PRON
ejpam-797	1321	35	i	i	PRON
ejpam-797	1321	36	a	a	PRON
ejpam-797	1321	37	s	s	X
ejpam-797	1321	38	a	a	DET
ejpam-797	1321	39	a	a	DET
ejpam-797	1321	40	s	s	NOUN
ejpam-797	1321	41	a	a	DET
ejpam-797	1321	42	l	l	NOUN
ejpam-797	1321	43	a	a	DET
ejpam-797	1321	44	a	a	DET
ejpam-797	1321	45	a	a	DET
ejpam-797	1321	46	a	a	DET
ejpam-797	1321	47	λ	λ	NOUN
ejpam-797	1321	48	−	−	PROPN
ejpam-797	1321	49	⊥	⊥	NOUN
ejpam-797	1321	50	⊥−	⊥−	NOUN
ejpam-797	1322	1	=	=	SYM
ejpam-797	1322	2	⊥	⊥	PROPN
ejpam-797	1322	3	⊥	⊥	NUM
ejpam-797	1322	4	′	′	NUM
ejpam-797	1322	5	′	′	NUM
ejpam-797	1323	1	=	=	PUNCT
ejpam-797	1324	1	−	−	PROPN
ejpam-797	1325	1	′	′	NUM
ejpam-797	1325	2	′	′	NUM
ejpam-797	1325	3	∏	∏	NUM
ejpam-797	1325	4			NOUN
ejpam-797	1325	5	.	.	PUNCT
ejpam-797	1326	1	(	(	PUNCT
ejpam-797	1326	2	157	157	NUM
ejpam-797	1326	3	)	)	PUNCT
ejpam-797	1326	4	by	by	ADP
ejpam-797	1326	5	the	the	DET
ejpam-797	1326	6	same	same	ADJ
ejpam-797	1326	7	arguments	argument	NOUN
ejpam-797	1326	8	used	use	VERB
ejpam-797	1326	9	in	in	ADP
ejpam-797	1326	10	(	(	PUNCT
ejpam-797	1326	11	104	104	NUM
ejpam-797	1326	12	)	)	PUNCT
ejpam-797	1326	13	to	to	ADP
ejpam-797	1326	14	(	(	PUNCT
ejpam-797	1326	15	107	107	NUM
ejpam-797	1326	16	)	)	PUNCT
ejpam-797	1326	17	,	,	PUNCT
ejpam-797	1326	18	one	one	PRON
ejpam-797	1326	19	can	can	AUX
ejpam-797	1326	20	show	show	VERB
ejpam-797	1326	21	that	that	PRON
ejpam-797	1326	22	.kk	.kk	PUNCT
ejpam-797	1327	1	kk	kk	INTJ
ejpam-797	1327	2	a	a	DET
ejpam-797	1327	3	kk	kk	PROPN
ejpam-797	1328	1	a	a	PRON
ejpam-797	1328	2	s	s	PROPN
ejpam-797	1328	3	a	a	DET
ejpam-797	1328	4	a	a	DET
ejpam-797	1328	5	s	s	NOUN
ejpam-797	1328	6	a	a	DET
ejpam-797	1328	7	s	s	NOUN
ejpam-797	1328	8	a	a	DET
ejpam-797	1328	9	a	a	DET
ejpam-797	1328	10	a	a	DET
ejpam-797	1328	11	a	a	DET
ejpam-797	1328	12	⊥	⊥	PROPN
ejpam-797	1328	13	⊥	⊥	NOUN
ejpam-797	1328	14	⊥	⊥	X
ejpam-797	1328	15	⊥	⊥	NUM
ejpam-797	1328	16	′	′	NUM
ejpam-797	1328	17	′	′	NUM
ejpam-797	1329	1	=	=	PUNCT
ejpam-797	1330	1	′	′	NUM
ejpam-797	1331	1	′	′	NUM
ejpam-797	1332	1	(	(	PUNCT
ejpam-797	1332	2	158	158	NUM
ejpam-797	1332	3	)	)	PUNCT
ejpam-797	1332	4	so	so	SCONJ
ejpam-797	1332	5	that	that	SCONJ
ejpam-797	1332	6	the	the	DET
ejpam-797	1332	7	maximized	maximized	ADJ
ejpam-797	1332	8	likelihood	likelihood	NOUN
ejpam-797	1332	9	function	function	NOUN
ejpam-797	1332	10	is	be	AUX
ejpam-797	1332	11	(	(	PUNCT
ejpam-797	1332	12	)	)	SYM
ejpam-797	1332	13	2	2	NUM
ejpam-797	1332	14	max	max	NOUN
ejpam-797	1332	15	1	1	NUM
ejpam-797	1332	16	1	1	NUM
ejpam-797	1332	17	r	r	NOUN
ejpam-797	1332	18	s	s	PROPN
ejpam-797	1332	19	t	t	X
ejpam-797	1332	20	kk	kk	INTJ
ejpam-797	1333	1	i	i	PRON
ejpam-797	1334	1	i	i	VERB
ejpam-797	1334	2	l	l	NOUN
ejpam-797	1334	3	s	s	VERB
ejpam-797	1334	4	λ	λ	X
ejpam-797	1334	5	−	−	NOUN
ejpam-797	1334	6	−	−	NOUN
ejpam-797	1335	1	=	=	SYM
ejpam-797	1335	2	=	=	PUNCT
ejpam-797	1335	3	−∏	−∏	NOUN
ejpam-797	1335	4			NOUN
ejpam-797	1335	5	.	.	PUNCT
ejpam-797	1336	1			NUM
ejpam-797	1336	2	(	(	PUNCT
ejpam-797	1336	3	159	159	NUM
ejpam-797	1336	4	)	)	PUNCT
ejpam-797	1336	5	proof	proof	NOUN
ejpam-797	1336	6	theorem	theorem	VERB
ejpam-797	1336	7	6	6	NUM
ejpam-797	1336	8	.	.	PUNCT
ejpam-797	1337	1	the	the	DET
ejpam-797	1337	2	likelihood	likelihood	NOUN
ejpam-797	1337	3	ratio	ratio	NOUN
ejpam-797	1337	4	test	test	NOUN
ejpam-797	1337	5	for	for	ADP
ejpam-797	1337	6	0h	0h	PROPN
ejpam-797	1337	7	in	in	ADP
ejpam-797	1337	8	h(r	h(r	NOUN
ejpam-797	1337	9	)	)	PUNCT
ejpam-797	1337	10	is	be	AUX
ejpam-797	1337	11	(	(	PUNCT
ejpam-797	1337	12	)	)	PUNCT
ejpam-797	1337	13	(	(	PUNCT
ejpam-797	1337	14	)	)	PUNCT
ejpam-797	1337	15	(	(	PUNCT
ejpam-797	1337	16	)	)	PUNCT
ejpam-797	1337	17	(	(	PUNCT
ejpam-797	1337	18	)	)	PUNCT
ejpam-797	1337	19	(	(	PUNCT
ejpam-797	1337	20	)	)	PUNCT
ejpam-797	1337	21	(	(	PUNCT
ejpam-797	1337	22	)	)	PUNCT
ejpam-797	1337	23	0	0	NUM
ejpam-797	1338	1	02lnlr	02lnlr	NUM
ejpam-797	1339	1	h	h	NOUN
ejpam-797	1339	2	h	h	NOUN
ejpam-797	1340	1	r	r	NOUN
ejpam-797	1340	2	l	l	NOUN
ejpam-797	1340	3	h	h	NOUN
ejpam-797	1340	4	l	l	NOUN
ejpam-797	1340	5	h	h	NOUN
ejpam-797	1340	6	r=	r=	ADJ
ejpam-797	1340	7	−	−	PROPN
ejpam-797	1340	8	.	.	PUNCT
ejpam-797	1341	1	(	(	PUNCT
ejpam-797	1341	2	160	160	NUM
ejpam-797	1341	3	)	)	PUNCT
ejpam-797	1341	4	the	the	DET
ejpam-797	1341	5	constant	constant	ADJ
ejpam-797	1341	6	terms	term	NOUN
ejpam-797	1341	7	in	in	ADP
ejpam-797	1341	8	both	both	PRON
ejpam-797	1341	9	cancel	cancel	VERB
ejpam-797	1341	10	,	,	PUNCT
ejpam-797	1341	11	and	and	CCONJ
ejpam-797	1341	12	one	one	PRON
ejpam-797	1341	13	can	can	AUX
ejpam-797	1341	14	write	write	VERB
ejpam-797	1341	15	the	the	DET
ejpam-797	1341	16	likelihood	likelihood	NOUN
ejpam-797	1341	17	ratio	ratio	NOUN
ejpam-797	1341	18	test	test	NOUN
ejpam-797	1341	19	statistic	statistic	NOUN
ejpam-797	1341	20	from	from	ADP
ejpam-797	1341	21	(	(	PUNCT
ejpam-797	1341	22	15	15	NUM
ejpam-797	1341	23	)	)	PUNCT
ejpam-797	1341	24	and	and	CCONJ
ejpam-797	1341	25	(	(	PUNCT
ejpam-797	1341	26	159	159	NUM
ejpam-797	1341	27	)	)	PUNCT
ejpam-797	1341	28	,	,	PUNCT
ejpam-797	1341	29	(	(	PUNCT
ejpam-797	1341	30	)	)	PUNCT
ejpam-797	1341	31	(	(	PUNCT
ejpam-797	1341	32	)	)	PUNCT
ejpam-797	1341	33	(	(	PUNCT
ejpam-797	1341	34	)	)	PUNCT
ejpam-797	1341	35	(	(	PUNCT
ejpam-797	1341	36	)	)	PUNCT
ejpam-797	1341	37	0	0	NUM
ejpam-797	1341	38	00	00	NUM
ejpam-797	1341	39	1	1	NUM
ejpam-797	1341	40	1	1	NUM
ejpam-797	1341	41	ˆ|	ˆ|	PROPN
ejpam-797	1341	42	ln	ln	NOUN
ejpam-797	1341	43	ln	ln	NOUN
ejpam-797	1342	1	ln	ln	ADJ
ejpam-797	1343	1	1	1	NUM
ejpam-797	1343	2	ln	ln	NOUN
ejpam-797	1343	3	1	1	NUM
ejpam-797	1343	4	r	r	NOUN
ejpam-797	1343	5	s	s	NOUN
ejpam-797	1343	6	r	r	NOUN
ejpam-797	1343	7	kk	kk	INTJ
ejpam-797	1343	8	i	i	INTJ
ejpam-797	1343	9	j	j	PROPN
ejpam-797	1344	1	i	i	PRON
ejpam-797	1344	2	j	j	PROPN
ejpam-797	1345	1	lr	lr	INTJ
ejpam-797	1345	2	h	h	NOUN
ejpam-797	1345	3	h	h	NOUN
ejpam-797	1345	4	r	r	NOUN
ejpam-797	1345	5	t	t	PROPN
ejpam-797	1345	6	s	s	NOUN
ejpam-797	1345	7	s	s	PROPN
ejpam-797	1345	8	λ	λ	X
ejpam-797	1345	9	λ	λ	NOUN
ejpam-797	1345	10	−	−	NOUN
ejpam-797	1346	1	=	=	PUNCT
ejpam-797	1346	2	=	=	PUNCT
ejpam-797	1346	3			PRON
ejpam-797	1346	4			NOUN
ejpam-797	1346	5	=	=	PUNCT
ejpam-797	1347	1	−	−	PROPN
ejpam-797	1348	1	+	+	CCONJ
ejpam-797	1348	2	−	−	PROPN
ejpam-797	1348	3	−	−	PROPN
ejpam-797	1348	4	−	−	PUNCT
ejpam-797	1348	5			PROPN
ejpam-797	1348	6			ADJ
ejpam-797	1348	7			NOUN
ejpam-797	1348	8	∑	∑	PUNCT
ejpam-797	1348	9	∑	∑	NOUN
ejpam-797	1348	10	.	.	PUNCT
ejpam-797	1349	1	(	(	PUNCT
ejpam-797	1349	2	161	161	NUM
ejpam-797	1349	3	)	)	PUNCT
ejpam-797	1349	4	the	the	DET
ejpam-797	1349	5	number	number	NOUN
ejpam-797	1349	6	of	of	ADP
ejpam-797	1349	7	free	free	ADJ
ejpam-797	1349	8	parameters	parameter	NOUN
ejpam-797	1349	9	in	in	ADP
ejpam-797	1349	10	the	the	DET
ejpam-797	1349	11	unrestricted	unrestricted	ADJ
ejpam-797	1349	12	model	model	NOUN
ejpam-797	1349	13	for	for	ADP
ejpam-797	1349	14	r	r	NOUN
ejpam-797	1349	15	cointegrating	cointegrate	VERB
ejpam-797	1349	16	relationships	relationship	NOUN
ejpam-797	1349	17	,	,	PUNCT
ejpam-797	1349	18	from	from	ADP
ejpam-797	1349	19	theorem	theorem	NOUN
ejpam-797	1349	20	2	2	NUM
ejpam-797	1349	21	,	,	PUNCT
ejpam-797	1349	22	is	be	AUX
ejpam-797	1349	23	2prr	2prr	NUM
ejpam-797	1349	24	2	2	NUM
ejpam-797	1349	25	.	.	PUNCT
ejpam-797	1350	1	in	in	ADP
ejpam-797	1350	2	the	the	DET
ejpam-797	1350	3	restricted	restricted	ADJ
ejpam-797	1350	4	model	model	NOUN
ejpam-797	1350	5	,	,	PUNCT
ejpam-797	1350	6	ah	ah	INTJ
ejpam-797	1350	7	a	a	DET
ejpam-797	1350	8	hψφ⊥′	hψφ⊥′	NOUN
ejpam-797	1350	9	′	′	NUM
ejpam-797	1350	10	′π	′π	NOUN
ejpam-797	1350	11	=	=	PUNCT
ejpam-797	1351	1	+	+	CCONJ
ejpam-797	1351	2	(	(	PUNCT
ejpam-797	1351	3	from	from	ADP
ejpam-797	1351	4	[	[	X
ejpam-797	1351	5	23	23	NUM
ejpam-797	1351	6	,	,	PUNCT
ejpam-797	1351	7	lemma	lemma	PROPN
ejpam-797	1351	8	7.1	7.1	NUM
ejpam-797	1351	9	]	]	PUNCT
ejpam-797	1351	10	)	)	PUNCT
ejpam-797	1351	11	has	have	VERB
ejpam-797	1351	12	(	(	PUNCT
ejpam-797	1351	13	(	(	PUNCT
ejpam-797	1351	14	p	p	X
ejpam-797	1351	15	-	-	PUNCT
ejpam-797	1351	16	s)+(p	s)+(p	ADJ
ejpam-797	1351	17	-	-	PUNCT
ejpam-797	1351	18	s)-(r	s)-(r	NOUN
ejpam-797	1351	19	-	-	PUNCT
ejpam-797	1351	20	s))(r	s))(r	NOUN
ejpam-797	1351	21	-	-	PUNCT
ejpam-797	1351	22	s	s	NOUN
ejpam-797	1351	23	)	)	PUNCT
ejpam-797	1351	24	free	free	ADJ
ejpam-797	1351	25	parameters	parameter	NOUN
ejpam-797	1351	26	.	.	PUNCT
ejpam-797	1352	1	the	the	DET
ejpam-797	1352	2	degrees	degree	NOUN
ejpam-797	1352	3	of	of	ADP
ejpam-797	1352	4	freedom	freedom	NOUN
ejpam-797	1352	5	for	for	ADP
ejpam-797	1352	6	the	the	DET
ejpam-797	1352	7	likelihood	likelihood	NOUN
ejpam-797	1352	8	ratio	ratio	NOUN
ejpam-797	1352	9	tests	test	NOUN
ejpam-797	1352	10	is	be	AUX
ejpam-797	1352	11	the	the	DET
ejpam-797	1352	12	difference	difference	NOUN
ejpam-797	1352	13	in	in	ADP
ejpam-797	1352	14	free	free	ADJ
ejpam-797	1352	15	parameters	parameter	NOUN
ejpam-797	1352	16	between	between	ADP
ejpam-797	1352	17	the	the	DET
ejpam-797	1352	18	unrestricted	unrestricted	ADJ
ejpam-797	1352	19	and	and	CCONJ
ejpam-797	1352	20	restricted	restricted	ADJ
ejpam-797	1352	21	models	model	NOUN
ejpam-797	1352	22	,	,	PUNCT
ejpam-797	1352	23	s(2p	s(2p	NOUN
ejpam-797	1352	24	-	-	SYM
ejpam-797	1352	25	s	s	NOUN
ejpam-797	1352	26	)	)	PUNCT
ejpam-797	1352	27	.	.	PUNCT
ejpam-797	1353	1	so	so	ADV
ejpam-797	1353	2	,	,	PUNCT
ejpam-797	1353	3	the	the	DET
ejpam-797	1353	4	likelihood	likelihood	NOUN
ejpam-797	1353	5	ratio	ratio	NOUN
ejpam-797	1353	6	test	test	NOUN
ejpam-797	1353	7	is	be	AUX
ejpam-797	1353	8	asymptotically	asymptotically	ADV
ejpam-797	1353	9	distributed	distribute	VERB
ejpam-797	1353	10	as	as	ADP
ejpam-797	1353	11	2χ	2χ	NUM
ejpam-797	1353	12	with	with	ADP
ejpam-797	1353	13	2ps	2ps	ADJ
ejpam-797	1353	14	-	-	PUNCT
ejpam-797	1353	15	s	s	NOUN
ejpam-797	1353	16	2	2	NUM
ejpam-797	1353	17	degrees	degree	NOUN
ejpam-797	1353	18	of	of	ADP
ejpam-797	1353	19	freedom	freedom	NOUN
ejpam-797	1353	20	.	.	PUNCT
ejpam-797	1354	1			NUM
ejpam-797	1354	2	proof	proof	NOUN
ejpam-797	1354	3	of	of	ADP
ejpam-797	1354	4	theorem	theorem	NOUN
ejpam-797	1354	5	7	7	NUM
ejpam-797	1354	6	.	.	NOUN
ejpam-797	1354	7	0	0	NUM
ejpam-797	1355	1	:	:	PUNCT
ejpam-797	1355	2	h	h	NOUN
ejpam-797	1356	1	hβ	hβ	INTJ
ejpam-797	1356	2	φ=	φ=	NOUN
ejpam-797	1356	3	where	where	SCONJ
ejpam-797	1356	4	h	h	PROPN
ejpam-797	1356	5	p×s	p×s	PROPN
ejpam-797	1356	6	is	be	AUX
ejpam-797	1356	7	known	know	VERB
ejpam-797	1356	8	and	and	CCONJ
ejpam-797	1356	9	φ	φ	PROPN
ejpam-797	1356	10	s×r	s×r	PROPN
ejpam-797	1356	11	is	be	AUX
ejpam-797	1356	12	unknown	unknown	ADJ
ejpam-797	1356	13	,	,	PUNCT
ejpam-797	1356	14	r≤s	r≤s	PROPN
ejpam-797	1356	15	<	<	X
ejpam-797	1356	16	p.	p.	NOUN
ejpam-797	1356	17	that	that	SCONJ
ejpam-797	1356	18	one	one	PRON
ejpam-797	1356	19	may	may	AUX
ejpam-797	1356	20	choose	choose	VERB
ejpam-797	1356	21	,	,	PUNCT
ejpam-797	1357	1	h	h	NOUN
ejpam-797	1357	2	hβ	hβ	VERB
ejpam-797	1357	3	φ⊥	φ⊥	ADJ
ejpam-797	1357	4	⊥	⊥	PROPN
ejpam-797	1357	5	⊥	⊥	PROPN
ejpam-797	1357	6	=	=	X
ejpam-797	1357	7			NOUN
ejpam-797	1357	8			VERB
ejpam-797	1357	9	as	as	SCONJ
ejpam-797	1357	10	the	the	DET
ejpam-797	1357	11	orthogonal	orthogonal	ADJ
ejpam-797	1357	12	complement	complement	NOUN
ejpam-797	1357	13	of	of	ADP
ejpam-797	1357	14	β	β	PROPN
ejpam-797	1357	15	was	be	AUX
ejpam-797	1357	16	shown	show	VERB
ejpam-797	1357	17	is	be	AUX
ejpam-797	1357	18	section	section	NOUN
ejpam-797	1357	19	4	4	NUM
ejpam-797	1357	20	.	.	PUNCT
ejpam-797	1358	1	consider	consider	VERB
ejpam-797	1358	2	,	,	PUNCT
ejpam-797	1358	3	g	g	NOUN
ejpam-797	1358	4	gβ	gβ	PROPN
ejpam-797	1358	5	θ⊥	θ⊥	NOUN
ejpam-797	1358	6	⊥	⊥	X
ejpam-797	1358	7	=	=	X
ejpam-797	1358	8			X
ejpam-797	1358	9			X
ejpam-797	1358	10	(	(	PUNCT
ejpam-797	1358	11	162	162	NUM
ejpam-797	1358	12	)	)	PUNCT
ejpam-797	1358	13	where	where	SCONJ
ejpam-797	1358	14	g	g	PROPN
ejpam-797	1358	15	p×q	p×q	PROPN
ejpam-797	1358	16	is	be	AUX
ejpam-797	1358	17	known	know	VERB
ejpam-797	1358	18	and	and	CCONJ
ejpam-797	1358	19	θ	θ	PROPN
ejpam-797	1358	20	(	(	PUNCT
ejpam-797	1358	21	p	p	X
ejpam-797	1358	22	-	-	PUNCT
ejpam-797	1358	23	q)×(p	q)×(p	NOUN
ejpam-797	1358	24	-	-	PUNCT
ejpam-797	1358	25	r	r	NOUN
ejpam-797	1358	26	)	)	PUNCT
ejpam-797	1358	27	is	be	AUX
ejpam-797	1358	28	unknown	unknown	ADJ
ejpam-797	1358	29	.	.	PUNCT
ejpam-797	1359	1	,	,	PUNCT
ejpam-797	1359	2	g	g	NOUN
ejpam-797	1359	3	gβ	gβ	PROPN
ejpam-797	1359	4	θ⊥	θ⊥	NOUN
ejpam-797	1359	5	⊥	⊥	X
ejpam-797	1359	6	=	=	X
ejpam-797	1359	7			NOUN
ejpam-797	1360	1			NOUN
ejpam-797	1360	2	implies	imply	VERB
ejpam-797	1360	3	(	(	PUNCT
ejpam-797	1360	4	)	)	PUNCT
ejpam-797	1360	5	(	(	PUNCT
ejpam-797	1360	6	)	)	PUNCT
ejpam-797	1360	7	sp	sp	ADP
ejpam-797	1360	8	g	g	NOUN
ejpam-797	1360	9	sp	sp	ADP
ejpam-797	1360	10	β⊥⊂	β⊥⊂	PROPN
ejpam-797	1360	11	,	,	PUNCT
ejpam-797	1360	12	which	which	PRON
ejpam-797	1360	13	implies	imply	VERB
ejpam-797	1360	14	(	(	PUNCT
ejpam-797	1360	15	)	)	PUNCT
ejpam-797	1360	16	(	(	PUNCT
ejpam-797	1360	17	)	)	PUNCT
ejpam-797	1360	18	sp	sp	ADP
ejpam-797	1360	19	sp	sp	ADP
ejpam-797	1360	20	gβ	gβ	NOUN
ejpam-797	1360	21	⊥⊂	⊥⊂	PUNCT
ejpam-797	1360	22	.	.	PUNCT
ejpam-797	1361	1	setting	set	VERB
ejpam-797	1361	2	h	h	NOUN
ejpam-797	1361	3	g⊥=	g⊥=	NOUN
ejpam-797	1361	4	,	,	PUNCT
ejpam-797	1361	5	a	a	DET
ejpam-797	1361	6	p×(p	p×(p	ADJ
ejpam-797	1361	7	-	-	PUNCT
ejpam-797	1361	8	q	q	NOUN
ejpam-797	1361	9	)	)	PUNCT
ejpam-797	1361	10	matrix	matrix	NOUN
ejpam-797	1361	11	,	,	PUNCT
ejpam-797	1361	12	implies	imply	VERB
ejpam-797	1361	13	(	(	PUNCT
ejpam-797	1361	14	)	)	PUNCT
ejpam-797	1361	15	(	(	PUNCT
ejpam-797	1361	16	)	)	PUNCT
ejpam-797	1361	17	sp	sp	ADP
ejpam-797	1361	18	sp	sp	ADP
ejpam-797	1361	19	hβ	hβ	PROPN
ejpam-797	1361	20	⊂	⊂	PROPN
ejpam-797	1361	21	,	,	PUNCT
ejpam-797	1361	22	which	which	PRON
ejpam-797	1361	23	shows	show	VERB
ejpam-797	1361	24	this	this	PRON
ejpam-797	1361	25	is	be	AUX
ejpam-797	1361	26	a	a	DET
ejpam-797	1361	27	test	test	NOUN
ejpam-797	1361	28	of	of	ADP
ejpam-797	1361	29	the	the	DET
ejpam-797	1361	30	form	form	NOUN
ejpam-797	1362	1	hβ	hβ	INTJ
ejpam-797	1362	2	φ=	φ=	NOUN
ejpam-797	1362	3	where	where	SCONJ
ejpam-797	1362	4	φ	φ	PROPN
ejpam-797	1362	5	is	be	AUX
ejpam-797	1362	6	(	(	PUNCT
ejpam-797	1362	7	p	p	NOUN
ejpam-797	1362	8	-	-	PUNCT
ejpam-797	1362	9	q)×r	q)×r	PROPN
ejpam-797	1362	10	.	.	PUNCT
ejpam-797	1363	1	noting	note	VERB
ejpam-797	1363	2	0	0	NUM
ejpam-797	1363	3	,	,	PUNCT
ejpam-797	1363	4	p	p	X
ejpam-797	1363	5	q	q	X
ejpam-797	1363	6	g	g	NOUN
ejpam-797	1363	7	h	h	NOUN
ejpam-797	1363	8	g	g	PROPN
ejpam-797	1363	9	g	g	PROPN
ejpam-797	1363	10	h	h	NOUN
ejpam-797	1363	11	ig	ig	INTJ
ejpam-797	1363	12	h	h	NOUN
ejpam-797	1363	13	φφ	φφ	ADP
ejpam-797	1363	14	β	β	X
ejpam-797	1363	15	β	β	X
ejpam-797	1363	16	θ	θ	PROPN
ejpam-797	1363	17	φ	φ	PROPN
ejpam-797	1363	18	θ	θ	NOUN
ejpam-797	1363	19	φθ	φθ	ADP
ejpam-797	1363	20	φ⊥	φ⊥	ADJ
ejpam-797	1363	21	⊥	⊥	PROPN
ejpam-797	1363	22	−⊥	−⊥	PUNCT
ejpam-797	1363	23	′	′	NUM
ejpam-797	1363	24			PROPN
ejpam-797	1363	25			ADJ
ejpam-797	1363	26	′′	′′	NOUN
ejpam-797	1363	27			NOUN
ejpam-797	1363	28	=	=	PUNCT
ejpam-797	1363	29	=	=	SYM
ejpam-797	1363	30	=	=	SYM
ejpam-797	1363	31			ADJ
ejpam-797	1363	32			ADP
ejpam-797	1363	33			ADJ
ejpam-797	1363	34			PROPN
ejpam-797	1363	35	′′	′′	PROPN
ejpam-797	1363	36	′	′	NOUN
ejpam-797	1363	37			PROPN
ejpam-797	1363	38			NOUN
ejpam-797	1363	39			NOUN
ejpam-797	1363	40	is	be	AUX
ejpam-797	1363	41	zero	zero	NUM
ejpam-797	1363	42	when	when	SCONJ
ejpam-797	1363	43	θ	θ	PROPN
ejpam-797	1363	44	φ⊥=	φ⊥=	NOUN
ejpam-797	1363	45	(	(	PUNCT
ejpam-797	1363	46	that	that	PRON
ejpam-797	1363	47	is	is	ADV
ejpam-797	1363	48	,	,	PUNCT
ejpam-797	1363	49	φ	φ	PROPN
ejpam-797	1363	50	θ⊥=	θ⊥=	PROPN
ejpam-797	1363	51	)	)	PUNCT
ejpam-797	1363	52	and	and	CCONJ
ejpam-797	1363	53	setting	set	VERB
ejpam-797	1363	54	s	s	PART
ejpam-797	1363	55	=	=	ADJ
ejpam-797	1363	56	q	q	NOUN
ejpam-797	1363	57	-	-	NOUN
ejpam-797	1363	58	p	p	NOUN
ejpam-797	1363	59	shows	show	VERB
ejpam-797	1363	60	this	this	PRON
ejpam-797	1363	61	is	be	AUX
ejpam-797	1363	62	test	test	NOUN
ejpam-797	1363	63	(	(	PUNCT
ejpam-797	1363	64	1	1	X
ejpam-797	1363	65	)	)	PUNCT
ejpam-797	1363	66	in	in	ADP
ejpam-797	1363	67	section	section	NOUN
ejpam-797	1363	68	3	3	NUM
ejpam-797	1363	69	.	.	NOUN
ejpam-797	1363	70			AUX
ejpam-797	1363	71	proof	proof	NOUN
ejpam-797	1363	72	of	of	ADP
ejpam-797	1363	73	theorem	theorem	ADJ
ejpam-797	1363	74	8	8	NUM
ejpam-797	1363	75	.	.	NOUN
ejpam-797	1363	76	0	0	NUM
ejpam-797	1363	77	:	:	PUNCT
ejpam-797	1363	78	,	,	PUNCT
ejpam-797	1363	79	h	h	NOUN
ejpam-797	1363	80	h	h	NOUN
ejpam-797	1363	81	hβ	hβ	PROPN
ejpam-797	1363	82	φ⊥	φ⊥	NOUN
ejpam-797	1363	83	=	=	PUNCT
ejpam-797	1363	84			NOUN
ejpam-797	1364	1			VERB
ejpam-797	1364	2	where	where	SCONJ
ejpam-797	1364	3	h	h	PROPN
ejpam-797	1364	4	p×s	p×s	PROPN
ejpam-797	1364	5	is	be	AUX
ejpam-797	1364	6	known	know	VERB
ejpam-797	1364	7	and	and	CCONJ
ejpam-797	1364	8	φ	φ	NUM
ejpam-797	1364	9	(	(	PUNCT
ejpam-797	1364	10	p	p	ADJ
ejpam-797	1364	11	-	-	PUNCT
ejpam-797	1364	12	s)×(s	s)×(s	NOUN
ejpam-797	1364	13	-	-	PUNCT
ejpam-797	1364	14	r	r	NOUN
ejpam-797	1364	15	)	)	PUNCT
ejpam-797	1364	16	is	be	AUX
ejpam-797	1364	17	unknown	unknown	ADJ
ejpam-797	1364	18	.	.	PUNCT
ejpam-797	1365	1	that	that	DET
ejpam-797	1365	2	one	one	NOUN
ejpam-797	1365	3	may	may	AUX
ejpam-797	1365	4	choose	choose	VERB
ejpam-797	1365	5	hβ	hβ	NOUN
ejpam-797	1365	6	φ⊥	φ⊥	ADJ
ejpam-797	1365	7	⊥	⊥	PROPN
ejpam-797	1365	8	⊥=	⊥=	PROPN
ejpam-797	1365	9	was	be	AUX
ejpam-797	1365	10	shown	show	VERB
ejpam-797	1365	11	in	in	ADP
ejpam-797	1365	12	section	section	NOUN
ejpam-797	1365	13	4	4	NUM
ejpam-797	1365	14	.	.	PUNCT
ejpam-797	1365	15	consider	consider	VERB
ejpam-797	1365	16	gβ	gβ	NOUN
ejpam-797	1365	17	θ⊥	θ⊥	NOUN
ejpam-797	1365	18	=	=	PUNCT
ejpam-797	1365	19	(	(	PUNCT
ejpam-797	1365	20	163	163	NUM
ejpam-797	1365	21	)	)	PUNCT
ejpam-797	1365	22	references	reference	NOUN
ejpam-797	1365	23	571	571	NUM
ejpam-797	1365	24	where	where	SCONJ
ejpam-797	1365	25	g	g	PROPN
ejpam-797	1365	26	is	be	AUX
ejpam-797	1365	27	a	a	DET
ejpam-797	1365	28	known	know	VERB
ejpam-797	1365	29	p×q	p×q	NOUN
ejpam-797	1365	30	matrix	matrix	NOUN
ejpam-797	1365	31	and	and	CCONJ
ejpam-797	1365	32	θ	θ	PROPN
ejpam-797	1365	33	is	be	AUX
ejpam-797	1365	34	an	an	DET
ejpam-797	1365	35	unknown	unknown	ADJ
ejpam-797	1365	36	q×(p	q×(p	NOUN
ejpam-797	1365	37	-	-	PUNCT
ejpam-797	1365	38	r	r	NOUN
ejpam-797	1365	39	)	)	PUNCT
ejpam-797	1365	40	matrix	matrix	NOUN
ejpam-797	1365	41	;	;	PUNCT
ejpam-797	1365	42	gβ	gβ	NOUN
ejpam-797	1365	43	θ⊥	θ⊥	NOUN
ejpam-797	1365	44	=	=	PRON
ejpam-797	1365	45	implies	imply	VERB
ejpam-797	1365	46	(	(	PUNCT
ejpam-797	1365	47	)	)	PUNCT
ejpam-797	1365	48	(	(	PUNCT
ejpam-797	1365	49	)	)	PUNCT
ejpam-797	1365	50	sp	sp	ADP
ejpam-797	1365	51	sp	sp	ADP
ejpam-797	1365	52	gβ⊥	gβ⊥	PROPN
ejpam-797	1365	53	⊂	⊂	PROPN
ejpam-797	1365	54	,	,	PUNCT
ejpam-797	1365	55	which	which	PRON
ejpam-797	1365	56	implies	imply	VERB
ejpam-797	1365	57	(	(	PUNCT
ejpam-797	1365	58	)	)	PUNCT
ejpam-797	1365	59	(	(	PUNCT
ejpam-797	1365	60	)	)	PUNCT
ejpam-797	1365	61	sp	sp	ADP
ejpam-797	1365	62	g	g	NOUN
ejpam-797	1365	63	sp	sp	ADP
ejpam-797	1365	64	β⊥	β⊥	PROPN
ejpam-797	1365	65	⊂	⊂	PROPN
ejpam-797	1365	66	.	.	PUNCT
ejpam-797	1366	1	setting	set	VERB
ejpam-797	1366	2	the	the	DET
ejpam-797	1366	3	h	h	NOUN
ejpam-797	1366	4	g⊥=	g⊥=	NOUN
ejpam-797	1366	5	,	,	PUNCT
ejpam-797	1366	6	a	a	DET
ejpam-797	1366	7	p×(p	p×(p	ADJ
ejpam-797	1366	8	-	-	PUNCT
ejpam-797	1366	9	q	q	NOUN
ejpam-797	1366	10	)	)	PUNCT
ejpam-797	1366	11	matrix	matrix	NOUN
ejpam-797	1366	12	,	,	PUNCT
ejpam-797	1366	13	implies	imply	VERB
ejpam-797	1366	14	(	(	PUNCT
ejpam-797	1366	15	)	)	PUNCT
ejpam-797	1366	16	(	(	PUNCT
ejpam-797	1366	17	)	)	PUNCT
ejpam-797	1366	18	sp	sp	ADP
ejpam-797	1366	19	h	h	NOUN
ejpam-797	1366	20	sp	sp	ADP
ejpam-797	1366	21	β⊂	β⊂	PROPN
ejpam-797	1366	22	,	,	PUNCT
ejpam-797	1366	23	which	which	PRON
ejpam-797	1366	24	shows	show	VERB
ejpam-797	1366	25	this	this	PRON
ejpam-797	1366	26	is	be	AUX
ejpam-797	1366	27	a	a	DET
ejpam-797	1366	28	test	test	NOUN
ejpam-797	1366	29	of	of	ADP
ejpam-797	1366	30	the	the	DET
ejpam-797	1366	31	form	form	NOUN
ejpam-797	1366	32	[	[	PUNCT
ejpam-797	1366	33	]	]	X
ejpam-797	1366	34	,	,	PUNCT
ejpam-797	1366	35	hβ	hβ	INTJ
ejpam-797	1366	36	ζ=	ζ=	NOUN
ejpam-797	1366	37	where	where	SCONJ
ejpam-797	1366	38	ζ	ζ	NOUN
ejpam-797	1366	39	is	be	AUX
ejpam-797	1366	40	r-(pq	r-(pq	NOUN
ejpam-797	1366	41	)	)	PUNCT
ejpam-797	1366	42	.	.	PUNCT
ejpam-797	1367	1	noting	note	VERB
ejpam-797	1367	2	[	[	PUNCT
ejpam-797	1367	3	]	]	X
ejpam-797	1367	4	[	[	PUNCT
ejpam-797	1367	5	]	]	X
ejpam-797	1367	6	[	[	PUNCT
ejpam-797	1367	7	]	]	X
ejpam-797	1367	8	(	(	PUNCT
ejpam-797	1367	9	)	)	PUNCT
ejpam-797	1367	10	,	,	PUNCT
ejpam-797	1367	11	,	,	PUNCT
ejpam-797	1367	12	0	0	NUM
ejpam-797	1367	13	,	,	PUNCT
ejpam-797	1367	14	0	0	NUM
ejpam-797	1367	15	,	,	PUNCT
ejpam-797	1367	16	p	p	NOUN
ejpam-797	1367	17	r	r	NOUN
ejpam-797	1367	18	p	p	PROPN
ejpam-797	1367	19	qg	qg	PROPN
ejpam-797	1367	20	h	h	NOUN
ejpam-797	1367	21	g	g	PROPN
ejpam-797	1367	22	h	h	NOUN
ejpam-797	1367	23	g	g	NOUN
ejpam-797	1367	24	g	g	NOUN
ejpam-797	1367	25	gβ	gβ	ADP
ejpam-797	1367	26	β	β	X
ejpam-797	1367	27	θ	θ	NOUN
ejpam-797	1367	28	ζ	ζ	NOUN
ejpam-797	1367	29	θ	θ	NOUN
ejpam-797	1367	30	θ	θ	PUNCT
ejpam-797	1367	31	ζ	ζ	NOUN
ejpam-797	1367	32	φ	φ	NUM
ejpam-797	1367	33	θ	θ	NOUN
ejpam-797	1367	34	ζ	ζ	NOUN
ejpam-797	1367	35	θ	θ	NOUN
ejpam-797	1367	36	ζ−	ζ−	NOUN
ejpam-797	1367	37	×	×	NOUN
ejpam-797	1367	38	−⊥	−⊥	PROPN
ejpam-797	1367	39	⊥	⊥	NOUN
ejpam-797	1367	40	⊥′	⊥′	PROPN
ejpam-797	1367	41	′	′	NUM
ejpam-797	1368	1	′	′	NUM
ejpam-797	1369	1	′	′	NUM
ejpam-797	1370	1	′	′	NUM
ejpam-797	1371	1	′	′	NUM
ejpam-797	1372	1	′	′	NUM
ejpam-797	1373	1	′	′	NUM
ejpam-797	1374	1	′	′	NUM
ejpam-797	1375	1	′	′	NUM
ejpam-797	1376	1	′	′	NUM
ejpam-797	1377	1	′	′	PRON
ejpam-797	1377	2	=	=	PUNCT
ejpam-797	1377	3	=	=	PUNCT
ejpam-797	1377	4	=	=	SYM
ejpam-797	1377	5	=	=	PUNCT
ejpam-797	1377	6			NOUN
ejpam-797	1377	7			VERB
ejpam-797	1377	8	is	be	AUX
ejpam-797	1377	9	zero	zero	NUM
ejpam-797	1377	10	when	when	SCONJ
ejpam-797	1377	11	(	(	PUNCT
ejpam-797	1377	12	)	)	PUNCT
ejpam-797	1377	13	1	1	NUM
ejpam-797	1377	14	g	g	NOUN
ejpam-797	1377	15	g	g	NOUN
ejpam-797	1377	16	gζ	gζ	ADP
ejpam-797	1377	17	φ−	φ−	PROPN
ejpam-797	1377	18	⊥	⊥	PROPN
ejpam-797	1377	19	⊥	⊥	PROPN
ejpam-797	1377	20	⊥	⊥	PROPN
ejpam-797	1377	21	⊥′=	⊥′=	NOUN
ejpam-797	1377	22	and	and	CCONJ
ejpam-797	1377	23	setting	set	VERB
ejpam-797	1377	24	s	s	PART
ejpam-797	1377	25	=	=	ADJ
ejpam-797	1377	26	q	q	NOUN
ejpam-797	1377	27	-	-	NOUN
ejpam-797	1377	28	p	p	NOUN
ejpam-797	1377	29	shows	show	VERB
ejpam-797	1377	30	this	this	PRON
ejpam-797	1377	31	is	be	AUX
ejpam-797	1377	32	test	test	NOUN
ejpam-797	1377	33	(	(	PUNCT
ejpam-797	1377	34	1	1	X
ejpam-797	1377	35	)	)	PUNCT
ejpam-797	1377	36	in	in	ADP
ejpam-797	1377	37	section	section	NOUN
ejpam-797	1377	38	3	3	NUM
ejpam-797	1377	39	.	.	PROPN
ejpam-797	1377	40			NUM
ejpam-797	1377	41	the	the	DET
ejpam-797	1377	42	other	other	ADJ
ejpam-797	1377	43	theorems	theorem	NOUN
ejpam-797	1377	44	in	in	ADP
ejpam-797	1377	45	section	section	NOUN
ejpam-797	1377	46	4	4	NUM
ejpam-797	1377	47	are	be	AUX
ejpam-797	1377	48	combinations	combination	NOUN
ejpam-797	1377	49	of	of	ADP
ejpam-797	1377	50	the	the	DET
ejpam-797	1377	51	above	above	ADJ
ejpam-797	1377	52	theorems	theorem	NOUN
ejpam-797	1377	53	using	use	VERB
ejpam-797	1377	54	α	α	PROPN
ejpam-797	1377	55	and	and	CCONJ
ejpam-797	1377	56	β	β	NOUN
ejpam-797	1377	57	.	.	NOUN
ejpam-797	1378	1	1	1	X
ejpam-797	1378	2	.	.	X
ejpam-797	1378	3	introduction	introduction	NOUN
ejpam-797	1378	4	2	2	NUM
ejpam-797	1378	5	.	.	PUNCT
ejpam-797	1379	1	the	the	DET
ejpam-797	1379	2	unrestricted	unrestricted	ADJ
ejpam-797	1379	3	cointegrated	cointegrate	VERB
ejpam-797	1379	4	model	model	NOUN
ejpam-797	1379	5	3	3	NUM
ejpam-797	1379	6	.	.	PUNCT
ejpam-797	1379	7	testing	test	VERB
ejpam-797	1379	8	restrictions	restriction	NOUN
ejpam-797	1379	9	on	on	ADP
ejpam-797	1379	10	β	β	PROPN
ejpam-797	1379	11	and	and	CCONJ
ejpam-797	1379	12	α	α	DET
ejpam-797	1379	13	4	4	X
ejpam-797	1379	14	.	.	PUNCT
ejpam-797	1379	15	testing	test	VERB
ejpam-797	1379	16	restrictions	restriction	NOUN
ejpam-797	1379	17	on	on	ADP
ejpam-797	1379	18	and	and	CCONJ
ejpam-797	1379	19	5	5	NUM
ejpam-797	1379	20	.	.	X
ejpam-797	1380	1	conclusion	conclusion	NOUN
ejpam-797	1380	2	references	reference	NOUN
ejpam-797	1380	3	appendix	appendix	VERB