id	sid	tid	token	lemma	pos
ejpam-6439	1	1	european	european	PROPN
ejpam-6439	1	2	journal	journal	PROPN
ejpam-6439	1	3	of	of	ADP
ejpam-6439	1	4	pure	pure	ADJ
ejpam-6439	1	5	and	and	CCONJ
ejpam-6439	1	6	applied	applied	ADJ
ejpam-6439	1	7	mathematics	mathematic	NOUN
ejpam-6439	1	8	2025	2025	NUM
ejpam-6439	1	9	,	,	PUNCT
ejpam-6439	1	10	vol	vol	NOUN
ejpam-6439	1	11	.	.	PROPN
ejpam-6439	1	12	18	18	NUM
ejpam-6439	1	13	,	,	PUNCT
ejpam-6439	1	14	issue	issue	NOUN
ejpam-6439	1	15	4	4	NUM
ejpam-6439	1	16	,	,	PUNCT
ejpam-6439	1	17	article	article	NOUN
ejpam-6439	1	18	number	number	NOUN
ejpam-6439	1	19	6439	6439	NUM
ejpam-6439	1	20	issn	issn	PROPN
ejpam-6439	1	21	1307	1307	NUM
ejpam-6439	1	22	-	-	SYM
ejpam-6439	1	23	5543	5543	NUM
ejpam-6439	1	24	–	–	PUNCT
ejpam-6439	1	25	ejpam.com	ejpam.com	X
ejpam-6439	1	26	published	publish	VERB
ejpam-6439	1	27	by	by	ADP
ejpam-6439	1	28	new	new	PROPN
ejpam-6439	1	29	york	york	PROPN
ejpam-6439	1	30	business	business	PROPN
ejpam-6439	1	31	global	global	ADJ
ejpam-6439	1	32	anti	anti	ADJ
ejpam-6439	1	33	-	-	ADJ
ejpam-6439	1	34	linear	linear	ADJ
ejpam-6439	1	35	-	-	PUNCT
ejpam-6439	1	36	diagonals	diagonal	NOUN
ejpam-6439	1	37	-	-	PUNCT
ejpam-6439	1	38	parameter	parameter	NOUN
ejpam-6439	1	39	symmetry	symmetry	NOUN
ejpam-6439	1	40	model	model	NOUN
ejpam-6439	1	41	and	and	CCONJ
ejpam-6439	1	42	orthogonal	orthogonal	ADJ
ejpam-6439	1	43	decomposition	decomposition	NOUN
ejpam-6439	1	44	of	of	ADP
ejpam-6439	1	45	anti	anti	ADJ
ejpam-6439	1	46	-	-	NOUN
ejpam-6439	1	47	symmetry	symmetry	NOUN
ejpam-6439	1	48	for	for	ADP
ejpam-6439	1	49	square	square	ADJ
ejpam-6439	1	50	contingency	contingency	NOUN
ejpam-6439	1	51	tables	table	NOUN
ejpam-6439	1	52	with	with	ADP
ejpam-6439	1	53	ordinal	ordinal	ADJ
ejpam-6439	1	54	classifications	classification	NOUN
ejpam-6439	1	55	shuji	shuji	PROPN
ejpam-6439	1	56	ando	ando	PROPN
ejpam-6439	1	57	department	department	PROPN
ejpam-6439	1	58	of	of	ADP
ejpam-6439	1	59	information	information	NOUN
ejpam-6439	1	60	sciences	science	NOUN
ejpam-6439	1	61	,	,	PUNCT
ejpam-6439	1	62	faculty	faculty	NOUN
ejpam-6439	1	63	of	of	ADP
ejpam-6439	1	64	science	science	NOUN
ejpam-6439	1	65	and	and	CCONJ
ejpam-6439	1	66	technology	technology	NOUN
ejpam-6439	1	67	,	,	PUNCT
ejpam-6439	1	68	tokyo	tokyo	PROPN
ejpam-6439	1	69	university	university	PROPN
ejpam-6439	1	70	of	of	ADP
ejpam-6439	1	71	science	science	PROPN
ejpam-6439	1	72	,	,	PUNCT
ejpam-6439	1	73	noda	noda	PROPN
ejpam-6439	1	74	city	city	PROPN
ejpam-6439	1	75	,	,	PUNCT
ejpam-6439	1	76	chiba	chiba	PROPN
ejpam-6439	1	77	,	,	PUNCT
ejpam-6439	1	78	japan	japan	PROPN
ejpam-6439	1	79	abstract	abstract	PROPN
ejpam-6439	1	80	.	.	PUNCT
ejpam-6439	2	1	for	for	ADP
ejpam-6439	2	2	r×r	r×r	PROPN
ejpam-6439	2	3	square	square	ADJ
ejpam-6439	2	4	contingency	contingency	NOUN
ejpam-6439	2	5	tables	table	NOUN
ejpam-6439	2	6	with	with	ADP
ejpam-6439	2	7	the	the	DET
ejpam-6439	2	8	same	same	ADJ
ejpam-6439	2	9	ordinal	ordinal	ADJ
ejpam-6439	2	10	classifications	classification	NOUN
ejpam-6439	2	11	for	for	ADP
ejpam-6439	2	12	rows	row	NOUN
ejpam-6439	2	13	and	and	CCONJ
ejpam-6439	2	14	columns	column	NOUN
ejpam-6439	2	15	,	,	PUNCT
ejpam-6439	2	16	this	this	DET
ejpam-6439	2	17	study	study	NOUN
ejpam-6439	2	18	investigates	investigate	VERB
ejpam-6439	2	19	models	model	NOUN
ejpam-6439	2	20	in	in	ADP
ejpam-6439	2	21	which	which	PRON
ejpam-6439	2	22	the	the	DET
ejpam-6439	2	23	relationship	relationship	NOUN
ejpam-6439	2	24	between	between	ADP
ejpam-6439	2	25	the	the	DET
ejpam-6439	2	26	row	row	NOUN
ejpam-6439	2	27	and	and	CCONJ
ejpam-6439	2	28	column	column	NOUN
ejpam-6439	2	29	variables	variable	NOUN
ejpam-6439	2	30	is	be	AUX
ejpam-6439	2	31	symmetric	symmetric	ADJ
ejpam-6439	2	32	or	or	CCONJ
ejpam-6439	2	33	asymmetric	asymmetric	ADJ
ejpam-6439	2	34	with	with	ADP
ejpam-6439	2	35	respect	respect	NOUN
ejpam-6439	2	36	to	to	ADP
ejpam-6439	2	37	the	the	DET
ejpam-6439	2	38	anti	anti	ADJ
ejpam-6439	2	39	-	-	ADJ
ejpam-6439	2	40	diagonal	diagonal	ADJ
ejpam-6439	2	41	,	,	PUNCT
ejpam-6439	2	42	rather	rather	ADV
ejpam-6439	2	43	than	than	ADP
ejpam-6439	2	44	the	the	DET
ejpam-6439	2	45	main	main	ADJ
ejpam-6439	2	46	diagonal	diagonal	NOUN
ejpam-6439	2	47	.	.	PUNCT
ejpam-6439	3	1	the	the	DET
ejpam-6439	3	2	recently	recently	ADV
ejpam-6439	3	3	proposed	propose	VERB
ejpam-6439	3	4	anti	anti	ADJ
ejpam-6439	3	5	-	-	ADJ
ejpam-6439	3	6	diagonals	diagonal	NOUN
ejpam-6439	3	7	-	-	PUNCT
ejpam-6439	3	8	parameter	parameter	NOUN
ejpam-6439	3	9	symmetry	symmetry	NOUN
ejpam-6439	3	10	model	model	NOUN
ejpam-6439	3	11	includes	include	VERB
ejpam-6439	3	12	r−1	r−1	PROPN
ejpam-6439	3	13	asymmetric	asymmetric	ADJ
ejpam-6439	3	14	parameters	parameter	NOUN
ejpam-6439	3	15	and	and	CCONJ
ejpam-6439	3	16	is	be	AUX
ejpam-6439	3	17	capable	capable	ADJ
ejpam-6439	3	18	of	of	ADP
ejpam-6439	3	19	representing	represent	VERB
ejpam-6439	3	20	complex	complex	ADJ
ejpam-6439	3	21	asymmetric	asymmetric	ADJ
ejpam-6439	3	22	structures	structure	NOUN
ejpam-6439	3	23	.	.	PUNCT
ejpam-6439	4	1	however	however	ADV
ejpam-6439	4	2	,	,	PUNCT
ejpam-6439	4	3	this	this	DET
ejpam-6439	4	4	model	model	NOUN
ejpam-6439	4	5	is	be	AUX
ejpam-6439	4	6	saturated	saturate	VERB
ejpam-6439	4	7	in	in	ADP
ejpam-6439	4	8	the	the	DET
ejpam-6439	4	9	following	follow	VERB
ejpam-6439	4	10	cells	cell	NOUN
ejpam-6439	4	11	:	:	PUNCT
ejpam-6439	4	12	the	the	DET
ejpam-6439	4	13	cell	cell	NOUN
ejpam-6439	4	14	in	in	ADP
ejpam-6439	4	15	the	the	DET
ejpam-6439	4	16	first	first	ADJ
ejpam-6439	4	17	row	row	NOUN
ejpam-6439	4	18	and	and	CCONJ
ejpam-6439	4	19	first	first	ADJ
ejpam-6439	4	20	column	column	NOUN
ejpam-6439	4	21	,	,	PUNCT
ejpam-6439	4	22	the	the	DET
ejpam-6439	4	23	cell	cell	NOUN
ejpam-6439	4	24	in	in	ADP
ejpam-6439	4	25	the	the	DET
ejpam-6439	4	26	rth	rth	NOUN
ejpam-6439	4	27	row	row	NOUN
ejpam-6439	4	28	and	and	CCONJ
ejpam-6439	4	29	rth	rth	NOUN
ejpam-6439	4	30	column	column	NOUN
ejpam-6439	4	31	,	,	PUNCT
ejpam-6439	4	32	and	and	CCONJ
ejpam-6439	4	33	all	all	DET
ejpam-6439	4	34	anti	anti	ADJ
ejpam-6439	4	35	-	-	ADJ
ejpam-6439	4	36	diagonal	diagonal	ADJ
ejpam-6439	4	37	cells	cell	NOUN
ejpam-6439	4	38	.	.	PUNCT
ejpam-6439	5	1	since	since	SCONJ
ejpam-6439	5	2	observed	observed	ADJ
ejpam-6439	5	3	frequencies	frequency	NOUN
ejpam-6439	5	4	in	in	ADP
ejpam-6439	5	5	square	square	ADJ
ejpam-6439	5	6	contingency	contingency	NOUN
ejpam-6439	5	7	tables	table	NOUN
ejpam-6439	5	8	tend	tend	VERB
ejpam-6439	5	9	to	to	PART
ejpam-6439	5	10	concentrate	concentrate	VERB
ejpam-6439	5	11	along	along	ADP
ejpam-6439	5	12	the	the	DET
ejpam-6439	5	13	main	main	ADJ
ejpam-6439	5	14	diagonal	diagonal	NOUN
ejpam-6439	5	15	,	,	PUNCT
ejpam-6439	5	16	a	a	DET
ejpam-6439	5	17	model	model	NOUN
ejpam-6439	5	18	saturated	saturate	VERB
ejpam-6439	5	19	only	only	ADV
ejpam-6439	5	20	in	in	ADP
ejpam-6439	5	21	the	the	DET
ejpam-6439	5	22	anti	anti	ADJ
ejpam-6439	5	23	-	-	ADJ
ejpam-6439	5	24	diagonal	diagonal	ADJ
ejpam-6439	5	25	cells	cell	NOUN
ejpam-6439	5	26	may	may	AUX
ejpam-6439	5	27	be	be	AUX
ejpam-6439	5	28	more	more	ADV
ejpam-6439	5	29	appropriate	appropriate	ADJ
ejpam-6439	5	30	.	.	PUNCT
ejpam-6439	6	1	we	we	PRON
ejpam-6439	6	2	propose	propose	VERB
ejpam-6439	6	3	the	the	DET
ejpam-6439	6	4	anti	anti	ADJ
ejpam-6439	6	5	-	-	ADJ
ejpam-6439	6	6	linear	linear	ADJ
ejpam-6439	6	7	diagonals	diagonal	NOUN
ejpam-6439	6	8	-	-	PUNCT
ejpam-6439	6	9	parameter	parameter	NOUN
ejpam-6439	6	10	symmetry	symmetry	NOUN
ejpam-6439	6	11	model	model	NOUN
ejpam-6439	6	12	,	,	PUNCT
ejpam-6439	6	13	which	which	PRON
ejpam-6439	6	14	captures	capture	VERB
ejpam-6439	6	15	asymmetry	asymmetry	NOUN
ejpam-6439	6	16	with	with	ADP
ejpam-6439	6	17	respect	respect	NOUN
ejpam-6439	6	18	to	to	ADP
ejpam-6439	6	19	the	the	DET
ejpam-6439	6	20	anti	anti	ADJ
ejpam-6439	6	21	-	-	ADJ
ejpam-6439	6	22	diagonal	diagonal	ADJ
ejpam-6439	6	23	.	.	PUNCT
ejpam-6439	7	1	the	the	DET
ejpam-6439	7	2	proposed	propose	VERB
ejpam-6439	7	3	model	model	NOUN
ejpam-6439	7	4	is	be	AUX
ejpam-6439	7	5	saturated	saturate	VERB
ejpam-6439	7	6	solely	solely	ADV
ejpam-6439	7	7	in	in	ADP
ejpam-6439	7	8	the	the	DET
ejpam-6439	7	9	anti	anti	ADJ
ejpam-6439	7	10	-	-	ADJ
ejpam-6439	7	11	diagonal	diagonal	ADJ
ejpam-6439	7	12	cells	cell	NOUN
ejpam-6439	7	13	and	and	CCONJ
ejpam-6439	7	14	,	,	PUNCT
ejpam-6439	7	15	like	like	ADP
ejpam-6439	7	16	the	the	DET
ejpam-6439	7	17	anti	anti	NOUN
ejpam-6439	7	18	-	-	NOUN
ejpam-6439	7	19	diagonals	diagonal	NOUN
ejpam-6439	7	20	-	-	PUNCT
ejpam-6439	7	21	parameter	parameter	NOUN
ejpam-6439	7	22	symmetry	symmetry	NOUN
ejpam-6439	7	23	model	model	NOUN
ejpam-6439	7	24	,	,	PUNCT
ejpam-6439	7	25	expresses	express	VERB
ejpam-6439	7	26	how	how	SCONJ
ejpam-6439	7	27	the	the	DET
ejpam-6439	7	28	degree	degree	NOUN
ejpam-6439	7	29	of	of	ADP
ejpam-6439	7	30	asymmetry	asymmetry	NOUN
ejpam-6439	7	31	varies	vary	VERB
ejpam-6439	7	32	according	accord	VERB
ejpam-6439	7	33	to	to	ADP
ejpam-6439	7	34	the	the	DET
ejpam-6439	7	35	distance	distance	NOUN
ejpam-6439	7	36	from	from	ADP
ejpam-6439	7	37	the	the	DET
ejpam-6439	7	38	anti	anti	ADJ
ejpam-6439	7	39	-	-	ADJ
ejpam-6439	7	40	diagonal	diagonal	ADJ
ejpam-6439	7	41	.	.	PUNCT
ejpam-6439	8	1	furthermore	furthermore	ADV
ejpam-6439	8	2	,	,	PUNCT
ejpam-6439	8	3	we	we	PRON
ejpam-6439	8	4	demonstrate	demonstrate	VERB
ejpam-6439	8	5	a	a	DET
ejpam-6439	8	6	decomposition	decomposition	NOUN
ejpam-6439	8	7	of	of	ADP
ejpam-6439	8	8	the	the	DET
ejpam-6439	8	9	anti	anti	ADJ
ejpam-6439	8	10	-	-	ADJ
ejpam-6439	8	11	symmetry	symmetry	ADJ
ejpam-6439	8	12	model	model	NOUN
ejpam-6439	8	13	using	use	VERB
ejpam-6439	8	14	the	the	DET
ejpam-6439	8	15	proposed	propose	VERB
ejpam-6439	8	16	model	model	NOUN
ejpam-6439	8	17	and	and	CCONJ
ejpam-6439	8	18	derive	derive	VERB
ejpam-6439	8	19	an	an	DET
ejpam-6439	8	20	orthogonal	orthogonal	ADJ
ejpam-6439	8	21	decomposition	decomposition	NOUN
ejpam-6439	8	22	of	of	ADP
ejpam-6439	8	23	the	the	DET
ejpam-6439	8	24	test	test	NOUN
ejpam-6439	8	25	statistic	statistic	NOUN
ejpam-6439	8	26	for	for	ADP
ejpam-6439	8	27	the	the	DET
ejpam-6439	8	28	anti	anti	ADJ
ejpam-6439	8	29	-	-	ADJ
ejpam-6439	8	30	symmetry	symmetry	ADJ
ejpam-6439	8	31	model	model	NOUN
ejpam-6439	8	32	.	.	PUNCT
ejpam-6439	9	1	2020	2020	NUM
ejpam-6439	9	2	mathematics	mathematics	PROPN
ejpam-6439	9	3	subject	subject	NOUN
ejpam-6439	9	4	classifications	classification	NOUN
ejpam-6439	9	5	:	:	PUNCT
ejpam-6439	9	6	62h17	62h17	NUM
ejpam-6439	9	7	key	key	ADJ
ejpam-6439	9	8	words	word	NOUN
ejpam-6439	9	9	and	and	CCONJ
ejpam-6439	9	10	phrases	phrase	NOUN
ejpam-6439	9	11	:	:	PUNCT
ejpam-6439	9	12	anti	anti	ADJ
ejpam-6439	9	13	-	-	ADJ
ejpam-6439	9	14	diagonal	diagonal	ADJ
ejpam-6439	9	15	,	,	PUNCT
ejpam-6439	9	16	asymmetry	asymmetry	NOUN
ejpam-6439	9	17	,	,	PUNCT
ejpam-6439	9	18	decomposition	decomposition	NOUN
ejpam-6439	9	19	,	,	PUNCT
ejpam-6439	9	20	symmetry	symmetry	NOUN
ejpam-6439	9	21	,	,	PUNCT
ejpam-6439	9	22	test	test	NOUN
ejpam-6439	9	23	statistic	statistic	NOUN
ejpam-6439	9	24	.	.	PUNCT
ejpam-6439	10	1	1	1	X
ejpam-6439	10	2	.	.	X
ejpam-6439	10	3	introduction	introduction	NOUN
ejpam-6439	10	4	for	for	ADP
ejpam-6439	10	5	r×r	r×r	PROPN
ejpam-6439	10	6	square	square	ADJ
ejpam-6439	10	7	contingency	contingency	NOUN
ejpam-6439	10	8	tables	table	NOUN
ejpam-6439	10	9	with	with	ADP
ejpam-6439	10	10	the	the	DET
ejpam-6439	10	11	same	same	ADJ
ejpam-6439	10	12	ordinal	ordinal	ADJ
ejpam-6439	10	13	classifications	classification	NOUN
ejpam-6439	10	14	for	for	ADP
ejpam-6439	10	15	rows	row	NOUN
ejpam-6439	10	16	and	and	CCONJ
ejpam-6439	10	17	columns	column	NOUN
ejpam-6439	10	18	,	,	PUNCT
ejpam-6439	10	19	we	we	PRON
ejpam-6439	10	20	denote	denote	VERB
ejpam-6439	10	21	by	by	ADP
ejpam-6439	10	22	πij	πij	PROPN
ejpam-6439	10	23	,	,	PUNCT
ejpam-6439	10	24	for	for	ADP
ejpam-6439	10	25	(	(	PUNCT
ejpam-6439	10	26	i	i	PROPN
ejpam-6439	10	27	,	,	PUNCT
ejpam-6439	10	28	j	j	PROPN
ejpam-6439	10	29	)	)	PUNCT
ejpam-6439	10	30	∈	∈	PROPN
ejpam-6439	10	31	a	a	PRON
ejpam-6439	10	32	,	,	PUNCT
ejpam-6439	10	33	the	the	DET
ejpam-6439	10	34	probability	probability	NOUN
ejpam-6439	10	35	that	that	SCONJ
ejpam-6439	10	36	an	an	DET
ejpam-6439	10	37	observed	observe	VERB
ejpam-6439	10	38	frequency	frequency	NOUN
ejpam-6439	10	39	falls	fall	VERB
ejpam-6439	10	40	in	in	ADP
ejpam-6439	10	41	the	the	DET
ejpam-6439	10	42	(	(	PUNCT
ejpam-6439	10	43	i	i	NOUN
ejpam-6439	10	44	,	,	PUNCT
ejpam-6439	10	45	j)th	j)th	ADJ
ejpam-6439	10	46	cell	cell	NOUN
ejpam-6439	10	47	of	of	ADP
ejpam-6439	10	48	the	the	DET
ejpam-6439	10	49	table	table	NOUN
ejpam-6439	10	50	,	,	PUNCT
ejpam-6439	10	51	where	where	SCONJ
ejpam-6439	10	52	a	a	DET
ejpam-6439	10	53	=	=	X
ejpam-6439	10	54	{	{	PUNCT
ejpam-6439	10	55	(	(	PUNCT
ejpam-6439	10	56	i	i	PROPN
ejpam-6439	10	57	,	,	PUNCT
ejpam-6439	10	58	j	j	PROPN
ejpam-6439	10	59	)	)	PUNCT
ejpam-6439	10	60	|	|	ADV
ejpam-6439	10	61	i	i	PRON
ejpam-6439	10	62	,	,	PUNCT
ejpam-6439	10	63	j	j	PROPN
ejpam-6439	10	64	=	=	SYM
ejpam-6439	10	65	1	1	NUM
ejpam-6439	10	66	,	,	PUNCT
ejpam-6439	10	67	2	2	NUM
ejpam-6439	10	68	,	,	PUNCT
ejpam-6439	10	69	.	.	PUNCT
ejpam-6439	10	70	.	.	PUNCT
ejpam-6439	11	1	.	.	PUNCT
ejpam-6439	12	1	,	,	PUNCT
ejpam-6439	12	2	r	r	NOUN
ejpam-6439	12	3	}	}	PUNCT
ejpam-6439	12	4	.	.	PUNCT
ejpam-6439	13	1	assume	assume	VERB
ejpam-6439	13	2	that	that	SCONJ
ejpam-6439	13	3	πij	πij	PROPN
ejpam-6439	13	4	,	,	PUNCT
ejpam-6439	13	5	for	for	ADP
ejpam-6439	13	6	all	all	PRON
ejpam-6439	13	7	(	(	PUNCT
ejpam-6439	13	8	i	i	PROPN
ejpam-6439	13	9	,	,	PUNCT
ejpam-6439	13	10	j	j	PROPN
ejpam-6439	13	11	)	)	PUNCT
ejpam-6439	13	12	∈	∈	PROPN
ejpam-6439	13	13	a	a	PRON
ejpam-6439	13	14	,	,	PUNCT
ejpam-6439	13	15	are	be	AUX
ejpam-6439	13	16	positive	positive	ADJ
ejpam-6439	13	17	.	.	PUNCT
ejpam-6439	14	1	for	for	ADP
ejpam-6439	14	2	the	the	DET
ejpam-6439	14	3	analysis	analysis	NOUN
ejpam-6439	14	4	of	of	ADP
ejpam-6439	14	5	square	square	ADJ
ejpam-6439	14	6	contingency	contingency	NOUN
ejpam-6439	14	7	tables	table	NOUN
ejpam-6439	14	8	,	,	PUNCT
ejpam-6439	14	9	we	we	PRON
ejpam-6439	14	10	often	often	ADV
ejpam-6439	14	11	use	use	VERB
ejpam-6439	14	12	a	a	DET
ejpam-6439	14	13	class	class	NOUN
ejpam-6439	14	14	of	of	ADP
ejpam-6439	14	15	models	model	NOUN
ejpam-6439	14	16	defined	define	VERB
ejpam-6439	14	17	by	by	ADP
ejpam-6439	14	18	the	the	DET
ejpam-6439	14	19	following	follow	VERB
ejpam-6439	14	20	equation	equation	NOUN
ejpam-6439	14	21	:	:	PUNCT
ejpam-6439	14	22	πij	πij	PROPN
ejpam-6439	14	23	=	=	PROPN
ejpam-6439	14	24	δijπji	δijπji	VERB
ejpam-6439	14	25	for	for	ADP
ejpam-6439	14	26	(	(	PUNCT
ejpam-6439	14	27	i	i	PROPN
ejpam-6439	14	28	,	,	PUNCT
ejpam-6439	14	29	j	j	PROPN
ejpam-6439	14	30	)	)	PUNCT
ejpam-6439	14	31	∈	∈	PROPN
ejpam-6439	15	1	d	d	NOUN
ejpam-6439	15	2	,	,	PUNCT
ejpam-6439	15	3	doi	doi	NOUN
ejpam-6439	15	4	:	:	PUNCT
ejpam-6439	15	5	https://doi.org/10.29020/nybg.ejpam.v18i4.6439	https://doi.org/10.29020/nybg.ejpam.v18i4.6439	PROPN
ejpam-6439	15	6	email	email	NOUN
ejpam-6439	15	7	address	address	NOUN
ejpam-6439	15	8	:	:	PUNCT
ejpam-6439	15	9	shuji.ando@rs.tus.ac.jp	shuji.ando@rs.tus.ac.jp	X
ejpam-6439	15	10	(	(	PUNCT
ejpam-6439	15	11	s.	s.	PROPN
ejpam-6439	15	12	ando	ando	PROPN
ejpam-6439	15	13	)	)	PUNCT
ejpam-6439	15	14	https://www.ejpam.com	https://www.ejpam.com	NOUN
ejpam-6439	16	1	1	1	NUM
ejpam-6439	16	2	copyright	copyright	NOUN
ejpam-6439	16	3	:	:	PUNCT
ejpam-6439	16	4	©	©	PROPN
ejpam-6439	16	5	2025	2025	NUM
ejpam-6439	16	6	the	the	DET
ejpam-6439	16	7	author(s	author(s	NOUN
ejpam-6439	16	8	)	)	PUNCT
ejpam-6439	16	9	.	.	PUNCT
ejpam-6439	17	1	(	(	PUNCT
ejpam-6439	17	2	cc	cc	NOUN
ejpam-6439	17	3	by	by	ADP
ejpam-6439	17	4	-	-	PUNCT
ejpam-6439	17	5	nc	nc	PROPN
ejpam-6439	17	6	4.0	4.0	NUM
ejpam-6439	17	7	)	)	PUNCT
ejpam-6439	17	8	s.	s.	PROPN
ejpam-6439	17	9	ando	ando	PROPN
ejpam-6439	17	10	/	/	SYM
ejpam-6439	17	11	eur	eur	PROPN
ejpam-6439	17	12	.	.	PUNCT
ejpam-6439	18	1	j.	j.	PROPN
ejpam-6439	18	2	pure	pure	PROPN
ejpam-6439	18	3	appl	appl	PROPN
ejpam-6439	18	4	.	.	PROPN
ejpam-6439	18	5	math	math	PROPN
ejpam-6439	18	6	,	,	PUNCT
ejpam-6439	18	7	18	18	NUM
ejpam-6439	18	8	(	(	PUNCT
ejpam-6439	18	9	4	4	NUM
ejpam-6439	18	10	)	)	PUNCT
ejpam-6439	18	11	(	(	PUNCT
ejpam-6439	18	12	2025	2025	NUM
ejpam-6439	18	13	)	)	PUNCT
ejpam-6439	18	14	,	,	PUNCT
ejpam-6439	18	15	6439	6439	NUM
ejpam-6439	18	16	2	2	NUM
ejpam-6439	18	17	of	of	ADP
ejpam-6439	18	18	13	13	NUM
ejpam-6439	18	19	where	where	SCONJ
ejpam-6439	18	20	δij	δij	NOUN
ejpam-6439	18	21	,	,	PUNCT
ejpam-6439	18	22	for	for	ADP
ejpam-6439	18	23	all	all	PRON
ejpam-6439	18	24	(	(	PUNCT
ejpam-6439	18	25	i	i	PROPN
ejpam-6439	18	26	,	,	PUNCT
ejpam-6439	18	27	j	j	PROPN
ejpam-6439	18	28	)	)	PUNCT
ejpam-6439	18	29	∈	∈	PROPN
ejpam-6439	19	1	d	d	NOUN
ejpam-6439	19	2	,	,	PUNCT
ejpam-6439	19	3	are	be	AUX
ejpam-6439	19	4	unknown	unknown	ADJ
ejpam-6439	19	5	parameters	parameter	NOUN
ejpam-6439	19	6	,	,	PUNCT
ejpam-6439	19	7	andd	andd	PROPN
ejpam-6439	19	8	=	=	PRON
ejpam-6439	19	9	{	{	PUNCT
ejpam-6439	19	10	(	(	PUNCT
ejpam-6439	19	11	i	i	PROPN
ejpam-6439	19	12	,	,	PUNCT
ejpam-6439	19	13	j	j	PROPN
ejpam-6439	19	14	)	)	PUNCT
ejpam-6439	20	1	|	|	ADV
ejpam-6439	20	2	i	i	PRON
ejpam-6439	20	3	,	,	PUNCT
ejpam-6439	20	4	j	j	PROPN
ejpam-6439	20	5	=	=	SYM
ejpam-6439	20	6	1	1	NUM
ejpam-6439	20	7	,	,	PUNCT
ejpam-6439	20	8	2	2	NUM
ejpam-6439	20	9	,	,	PUNCT
ejpam-6439	20	10	.	.	PUNCT
ejpam-6439	20	11	.	.	PUNCT
ejpam-6439	20	12	.	.	PUNCT
ejpam-6439	21	1	,	,	PUNCT
ejpam-6439	21	2	r	r	NOUN
ejpam-6439	21	3	;	;	PUNCT
ejpam-6439	21	4	i	i	PRON
ejpam-6439	21	5	<	<	X
ejpam-6439	21	6	j	j	PROPN
ejpam-6439	21	7	}	}	PUNCT
ejpam-6439	21	8	.	.	PUNCT
ejpam-6439	22	1	when	when	SCONJ
ejpam-6439	22	2	no	no	DET
ejpam-6439	22	3	restrictions	restriction	NOUN
ejpam-6439	22	4	are	be	AUX
ejpam-6439	22	5	imposed	impose	VERB
ejpam-6439	22	6	on	on	ADP
ejpam-6439	22	7	δij	δij	NOUN
ejpam-6439	22	8	for	for	ADP
ejpam-6439	22	9	(	(	PUNCT
ejpam-6439	22	10	i	i	PROPN
ejpam-6439	22	11	,	,	PUNCT
ejpam-6439	22	12	j	j	PROPN
ejpam-6439	22	13	)	)	PUNCT
ejpam-6439	22	14	∈	∈	PROPN
ejpam-6439	23	1	d	d	NOUN
ejpam-6439	23	2	,	,	PUNCT
ejpam-6439	23	3	the	the	DET
ejpam-6439	23	4	model	model	NOUN
ejpam-6439	23	5	above	above	ADP
ejpam-6439	23	6	corresponds	correspond	NOUN
ejpam-6439	23	7	to	to	ADP
ejpam-6439	23	8	the	the	DET
ejpam-6439	23	9	saturated	saturate	VERB
ejpam-6439	23	10	model	model	NOUN
ejpam-6439	23	11	.	.	PUNCT
ejpam-6439	24	1	conversely	conversely	ADV
ejpam-6439	24	2	:	:	PUNCT
ejpam-6439	24	3	(	(	PUNCT
ejpam-6439	24	4	i	i	NOUN
ejpam-6439	24	5	)	)	PUNCT
ejpam-6439	24	6	when	when	SCONJ
ejpam-6439	24	7	the	the	DET
ejpam-6439	24	8	restrictions	restriction	NOUN
ejpam-6439	24	9	δij	δij	NOUN
ejpam-6439	24	10	=	=	NOUN
ejpam-6439	24	11	1	1	NUM
ejpam-6439	24	12	for	for	ADP
ejpam-6439	24	13	(	(	PUNCT
ejpam-6439	24	14	i	i	PROPN
ejpam-6439	24	15	,	,	PUNCT
ejpam-6439	24	16	j	j	PROPN
ejpam-6439	24	17	)	)	PUNCT
ejpam-6439	24	18	∈	∈	PROPN
ejpam-6439	24	19	d	d	NOUN
ejpam-6439	24	20	are	be	AUX
ejpam-6439	24	21	imposed	impose	VERB
ejpam-6439	24	22	,	,	PUNCT
ejpam-6439	24	23	the	the	DET
ejpam-6439	24	24	model	model	NOUN
ejpam-6439	24	25	corresponds	correspond	VERB
ejpam-6439	24	26	to	to	ADP
ejpam-6439	24	27	the	the	DET
ejpam-6439	24	28	symmetry	symmetry	NOUN
ejpam-6439	24	29	(	(	PUNCT
ejpam-6439	24	30	s	s	NOUN
ejpam-6439	24	31	)	)	PUNCT
ejpam-6439	24	32	model	model	NOUN
ejpam-6439	24	33	[	[	X
ejpam-6439	24	34	1	1	NUM
ejpam-6439	24	35	]	]	PUNCT
ejpam-6439	24	36	.	.	PUNCT
ejpam-6439	25	1	(	(	PUNCT
ejpam-6439	25	2	ii	ii	NOUN
ejpam-6439	25	3	)	)	PUNCT
ejpam-6439	25	4	when	when	SCONJ
ejpam-6439	25	5	the	the	DET
ejpam-6439	25	6	restrictions	restriction	NOUN
ejpam-6439	25	7	δij	δij	NOUN
ejpam-6439	25	8	=	=	PUNCT
ejpam-6439	25	9	δ	δ	PROPN
ejpam-6439	25	10	for	for	ADP
ejpam-6439	25	11	(	(	PUNCT
ejpam-6439	25	12	i	i	PROPN
ejpam-6439	25	13	,	,	PUNCT
ejpam-6439	25	14	j	j	PROPN
ejpam-6439	25	15	)	)	PUNCT
ejpam-6439	25	16	∈	∈	PROPN
ejpam-6439	26	1	d	d	NOUN
ejpam-6439	26	2	are	be	AUX
ejpam-6439	26	3	imposed	impose	VERB
ejpam-6439	26	4	,	,	PUNCT
ejpam-6439	26	5	the	the	DET
ejpam-6439	26	6	model	model	NOUN
ejpam-6439	26	7	corresponds	correspond	VERB
ejpam-6439	26	8	to	to	ADP
ejpam-6439	26	9	the	the	DET
ejpam-6439	26	10	conditional	conditional	ADJ
ejpam-6439	26	11	symmetry	symmetry	NOUN
ejpam-6439	26	12	(	(	PUNCT
ejpam-6439	26	13	cs	cs	PROPN
ejpam-6439	26	14	)	)	PUNCT
ejpam-6439	26	15	model	model	NOUN
ejpam-6439	26	16	[	[	X
ejpam-6439	26	17	2	2	NUM
ejpam-6439	26	18	]	]	PUNCT
ejpam-6439	26	19	.	.	PUNCT
ejpam-6439	27	1	(	(	PUNCT
ejpam-6439	27	2	iii	iii	NOUN
ejpam-6439	27	3	)	)	PUNCT
ejpam-6439	27	4	when	when	SCONJ
ejpam-6439	27	5	the	the	DET
ejpam-6439	27	6	restrictions	restriction	NOUN
ejpam-6439	27	7	δij	δij	NOUN
ejpam-6439	27	8	=	=	SYM
ejpam-6439	27	9	δj−i	δj−i	NOUN
ejpam-6439	27	10	for	for	ADP
ejpam-6439	27	11	(	(	PUNCT
ejpam-6439	27	12	i	i	PROPN
ejpam-6439	27	13	,	,	PUNCT
ejpam-6439	27	14	j	j	PROPN
ejpam-6439	27	15	)	)	PUNCT
ejpam-6439	27	16	∈	∈	PROPN
ejpam-6439	28	1	d	d	NOUN
ejpam-6439	28	2	are	be	AUX
ejpam-6439	28	3	imposed	impose	VERB
ejpam-6439	28	4	,	,	PUNCT
ejpam-6439	28	5	the	the	DET
ejpam-6439	28	6	model	model	NOUN
ejpam-6439	28	7	corresponds	correspond	VERB
ejpam-6439	28	8	to	to	ADP
ejpam-6439	28	9	the	the	DET
ejpam-6439	28	10	diagonals	diagonal	NOUN
ejpam-6439	28	11	-	-	PUNCT
ejpam-6439	28	12	parameter	parameter	NOUN
ejpam-6439	28	13	symmetry	symmetry	NOUN
ejpam-6439	28	14	(	(	PUNCT
ejpam-6439	28	15	dps	dps	NOUN
ejpam-6439	28	16	)	)	PUNCT
ejpam-6439	28	17	model	model	NOUN
ejpam-6439	28	18	[	[	X
ejpam-6439	28	19	3	3	NUM
ejpam-6439	28	20	]	]	PUNCT
ejpam-6439	28	21	.	.	PUNCT
ejpam-6439	29	1	(	(	PUNCT
ejpam-6439	29	2	iv	iv	X
ejpam-6439	29	3	)	)	PUNCT
ejpam-6439	29	4	when	when	SCONJ
ejpam-6439	29	5	the	the	DET
ejpam-6439	29	6	restrictions	restriction	NOUN
ejpam-6439	29	7	δij	δij	NOUN
ejpam-6439	29	8	=	=	SYM
ejpam-6439	29	9	δj−i	δj−i	NOUN
ejpam-6439	29	10	for	for	ADP
ejpam-6439	29	11	(	(	PUNCT
ejpam-6439	29	12	i	i	PROPN
ejpam-6439	29	13	,	,	PUNCT
ejpam-6439	29	14	j	j	PROPN
ejpam-6439	29	15	)	)	PUNCT
ejpam-6439	29	16	∈	∈	PROPN
ejpam-6439	30	1	d	d	NOUN
ejpam-6439	30	2	are	be	AUX
ejpam-6439	30	3	imposed	impose	VERB
ejpam-6439	30	4	,	,	PUNCT
ejpam-6439	30	5	the	the	DET
ejpam-6439	30	6	model	model	NOUN
ejpam-6439	30	7	corresponds	correspond	VERB
ejpam-6439	30	8	to	to	ADP
ejpam-6439	30	9	the	the	DET
ejpam-6439	30	10	linear	linear	ADJ
ejpam-6439	30	11	dps	dps	NOUN
ejpam-6439	30	12	(	(	PUNCT
ejpam-6439	30	13	ldps	ldps	PROPN
ejpam-6439	30	14	)	)	PUNCT
ejpam-6439	30	15	model	model	NOUN
ejpam-6439	30	16	[	[	X
ejpam-6439	30	17	4	4	NUM
ejpam-6439	30	18	]	]	PUNCT
ejpam-6439	30	19	.	.	PUNCT
ejpam-6439	31	1	the	the	DET
ejpam-6439	31	2	cells	cell	NOUN
ejpam-6439	31	3	on	on	ADP
ejpam-6439	31	4	the	the	DET
ejpam-6439	31	5	main	main	ADJ
ejpam-6439	31	6	diagonal	diagonal	NOUN
ejpam-6439	31	7	of	of	ADP
ejpam-6439	31	8	the	the	DET
ejpam-6439	31	9	table	table	NOUN
ejpam-6439	31	10	represent	represent	VERB
ejpam-6439	31	11	cases	case	NOUN
ejpam-6439	31	12	where	where	SCONJ
ejpam-6439	31	13	the	the	DET
ejpam-6439	31	14	difference	difference	NOUN
ejpam-6439	31	15	between	between	ADP
ejpam-6439	31	16	the	the	DET
ejpam-6439	31	17	row	row	NOUN
ejpam-6439	31	18	variable	variable	NOUN
ejpam-6439	31	19	x	x	PUNCT
ejpam-6439	31	20	and	and	CCONJ
ejpam-6439	31	21	the	the	DET
ejpam-6439	31	22	column	column	NOUN
ejpam-6439	31	23	variable	variable	PROPN
ejpam-6439	31	24	y	y	PROPN
ejpam-6439	31	25	is	be	AUX
ejpam-6439	31	26	zero	zero	NUM
ejpam-6439	31	27	,	,	PUNCT
ejpam-6439	31	28	which	which	PRON
ejpam-6439	31	29	corresponds	correspond	VERB
ejpam-6439	31	30	to	to	ADP
ejpam-6439	31	31	the	the	DET
ejpam-6439	31	32	mean	mean	NOUN
ejpam-6439	31	33	of	of	ADP
ejpam-6439	31	34	x	x	SYM
ejpam-6439	31	35	−	−	PROPN
ejpam-6439	31	36	y	y	PROPN
ejpam-6439	31	37	.	.	PUNCT
ejpam-6439	32	1	the	the	DET
ejpam-6439	32	2	s	s	PROPN
ejpam-6439	32	3	model	model	NOUN
ejpam-6439	32	4	exhibits	exhibit	VERB
ejpam-6439	32	5	a	a	DET
ejpam-6439	32	6	symmetric	symmetric	ADJ
ejpam-6439	32	7	structure	structure	NOUN
ejpam-6439	32	8	in	in	ADP
ejpam-6439	32	9	the	the	DET
ejpam-6439	32	10	cell	cell	NOUN
ejpam-6439	32	11	probabilities	probability	NOUN
ejpam-6439	32	12	with	with	ADP
ejpam-6439	32	13	respect	respect	NOUN
ejpam-6439	32	14	to	to	ADP
ejpam-6439	32	15	the	the	DET
ejpam-6439	32	16	main	main	ADJ
ejpam-6439	32	17	diagonal	diagonal	NOUN
ejpam-6439	32	18	of	of	ADP
ejpam-6439	32	19	the	the	DET
ejpam-6439	32	20	table	table	NOUN
ejpam-6439	32	21	.	.	PUNCT
ejpam-6439	33	1	conversely	conversely	ADV
ejpam-6439	33	2	,	,	PUNCT
ejpam-6439	33	3	the	the	DET
ejpam-6439	33	4	cs	cs	PROPN
ejpam-6439	33	5	,	,	PUNCT
ejpam-6439	33	6	dps	dps	NOUN
ejpam-6439	33	7	,	,	PUNCT
ejpam-6439	33	8	and	and	CCONJ
ejpam-6439	33	9	ldps	ldps	NOUN
ejpam-6439	33	10	models	model	NOUN
ejpam-6439	33	11	exhibit	exhibit	VERB
ejpam-6439	33	12	asymmetric	asymmetric	ADJ
ejpam-6439	33	13	structures	structure	NOUN
ejpam-6439	33	14	in	in	ADP
ejpam-6439	33	15	the	the	DET
ejpam-6439	33	16	cell	cell	NOUN
ejpam-6439	33	17	probabilities	probability	NOUN
ejpam-6439	33	18	with	with	ADP
ejpam-6439	33	19	respect	respect	NOUN
ejpam-6439	33	20	to	to	ADP
ejpam-6439	33	21	the	the	DET
ejpam-6439	33	22	main	main	ADJ
ejpam-6439	33	23	diagonal	diagonal	NOUN
ejpam-6439	33	24	.	.	PUNCT
ejpam-6439	34	1	next	next	ADV
ejpam-6439	34	2	,	,	PUNCT
ejpam-6439	34	3	we	we	PRON
ejpam-6439	34	4	consider	consider	VERB
ejpam-6439	34	5	a	a	DET
ejpam-6439	34	6	class	class	NOUN
ejpam-6439	34	7	of	of	ADP
ejpam-6439	34	8	models	model	NOUN
ejpam-6439	34	9	defined	define	VERB
ejpam-6439	34	10	by	by	ADP
ejpam-6439	34	11	the	the	DET
ejpam-6439	34	12	following	follow	VERB
ejpam-6439	34	13	equation	equation	NOUN
ejpam-6439	34	14	:	:	PUNCT
ejpam-6439	34	15	πij	πij	PROPN
ejpam-6439	34	16	=	=	SYM
ejpam-6439	34	17	δijπj∗i∗	δijπj∗i∗	PROPN
ejpam-6439	34	18	for	for	ADP
ejpam-6439	34	19	(	(	PUNCT
ejpam-6439	34	20	i	i	PROPN
ejpam-6439	34	21	,	,	PUNCT
ejpam-6439	34	22	j	j	PROPN
ejpam-6439	34	23	)	)	PUNCT
ejpam-6439	34	24	∈	∈	PROPN
ejpam-6439	34	25	e	e	NOUN
ejpam-6439	34	26	,	,	PUNCT
ejpam-6439	34	27	where	where	SCONJ
ejpam-6439	34	28	δij	δij	NOUN
ejpam-6439	34	29	,	,	PUNCT
ejpam-6439	34	30	for	for	ADP
ejpam-6439	34	31	all	all	PRON
ejpam-6439	34	32	(	(	PUNCT
ejpam-6439	34	33	i	i	PROPN
ejpam-6439	34	34	,	,	PUNCT
ejpam-6439	34	35	j	j	PROPN
ejpam-6439	34	36	)	)	PUNCT
ejpam-6439	34	37	∈	∈	PROPN
ejpam-6439	34	38	e	e	NOUN
ejpam-6439	34	39	,	,	PUNCT
ejpam-6439	34	40	are	be	AUX
ejpam-6439	34	41	unknown	unknown	ADJ
ejpam-6439	34	42	parameters	parameter	NOUN
ejpam-6439	34	43	,	,	PUNCT
ejpam-6439	34	44	i∗	i∗	NOUN
ejpam-6439	34	45	=	=	SYM
ejpam-6439	34	46	r+	r+	X
ejpam-6439	34	47	1−	1−	NUM
ejpam-6439	34	48	i	i	NOUN
ejpam-6439	34	49	,	,	PUNCT
ejpam-6439	34	50	j∗	j∗	PROPN
ejpam-6439	34	51	=	=	SYM
ejpam-6439	34	52	r+	r+	X
ejpam-6439	34	53	1−	1−	NUM
ejpam-6439	34	54	j	j	NOUN
ejpam-6439	34	55	,	,	PUNCT
ejpam-6439	34	56	and	and	CCONJ
ejpam-6439	34	57	e	e	X
ejpam-6439	34	58	=	=	PRON
ejpam-6439	34	59	{	{	PUNCT
ejpam-6439	34	60	(	(	PUNCT
ejpam-6439	34	61	i	i	PROPN
ejpam-6439	34	62	,	,	PUNCT
ejpam-6439	34	63	j	j	PROPN
ejpam-6439	34	64	)	)	PUNCT
ejpam-6439	35	1	|	|	ADV
ejpam-6439	35	2	i	i	PRON
ejpam-6439	35	3	,	,	PUNCT
ejpam-6439	35	4	j	j	PROPN
ejpam-6439	35	5	=	=	SYM
ejpam-6439	35	6	1	1	NUM
ejpam-6439	35	7	,	,	PUNCT
ejpam-6439	35	8	2	2	NUM
ejpam-6439	35	9	,	,	PUNCT
ejpam-6439	35	10	.	.	PUNCT
ejpam-6439	35	11	.	.	PUNCT
ejpam-6439	35	12	.	.	PUNCT
ejpam-6439	36	1	,	,	PUNCT
ejpam-6439	36	2	r	r	NOUN
ejpam-6439	36	3	;	;	PUNCT
ejpam-6439	36	4	i+j	i+j	NUM
ejpam-6439	36	5	<	<	X
ejpam-6439	36	6	r+1	r+1	NOUN
ejpam-6439	36	7	}	}	PUNCT
ejpam-6439	36	8	.	.	PUNCT
ejpam-6439	37	1	the	the	DET
ejpam-6439	37	2	model	model	NOUN
ejpam-6439	37	3	above	above	ADP
ejpam-6439	37	4	exhibits	exhibit	VERB
ejpam-6439	37	5	either	either	CCONJ
ejpam-6439	37	6	a	a	DET
ejpam-6439	37	7	symmetric	symmetric	ADJ
ejpam-6439	37	8	or	or	CCONJ
ejpam-6439	37	9	asymmetric	asymmetric	ADJ
ejpam-6439	37	10	structure	structure	NOUN
ejpam-6439	37	11	in	in	ADP
ejpam-6439	37	12	the	the	DET
ejpam-6439	37	13	cell	cell	NOUN
ejpam-6439	37	14	probabilities	probability	NOUN
ejpam-6439	37	15	with	with	ADP
ejpam-6439	37	16	respect	respect	NOUN
ejpam-6439	37	17	to	to	ADP
ejpam-6439	37	18	the	the	DET
ejpam-6439	37	19	anti	anti	ADJ
ejpam-6439	37	20	-	-	ADJ
ejpam-6439	37	21	diagonal	diagonal	ADJ
ejpam-6439	37	22	of	of	ADP
ejpam-6439	37	23	the	the	DET
ejpam-6439	37	24	table	table	NOUN
ejpam-6439	37	25	.	.	PUNCT
ejpam-6439	38	1	the	the	DET
ejpam-6439	38	2	cells	cell	NOUN
ejpam-6439	38	3	on	on	ADP
ejpam-6439	38	4	the	the	DET
ejpam-6439	38	5	anti	anti	ADJ
ejpam-6439	38	6	-	-	ADJ
ejpam-6439	38	7	diagonal	diagonal	ADJ
ejpam-6439	38	8	correspond	correspond	NOUN
ejpam-6439	38	9	to	to	ADP
ejpam-6439	38	10	cases	case	NOUN
ejpam-6439	38	11	where	where	SCONJ
ejpam-6439	38	12	the	the	DET
ejpam-6439	38	13	sum	sum	NOUN
ejpam-6439	38	14	of	of	ADP
ejpam-6439	38	15	x	x	PUNCT
ejpam-6439	38	16	and	and	CCONJ
ejpam-6439	38	17	y	y	PROPN
ejpam-6439	38	18	equals	equal	VERB
ejpam-6439	38	19	r+	r+	NOUN
ejpam-6439	38	20	1	1	NUM
ejpam-6439	38	21	,	,	PUNCT
ejpam-6439	38	22	which	which	PRON
ejpam-6439	38	23	represents	represent	VERB
ejpam-6439	38	24	the	the	DET
ejpam-6439	38	25	mean	mean	NOUN
ejpam-6439	38	26	of	of	ADP
ejpam-6439	38	27	x	x	PROPN
ejpam-6439	38	28	+	+	CCONJ
ejpam-6439	38	29	y	y	PROPN
ejpam-6439	38	30	.	.	PUNCT
ejpam-6439	39	1	when	when	SCONJ
ejpam-6439	39	2	no	no	DET
ejpam-6439	39	3	restrictions	restriction	NOUN
ejpam-6439	39	4	are	be	AUX
ejpam-6439	39	5	imposed	impose	VERB
ejpam-6439	39	6	on	on	ADP
ejpam-6439	39	7	δij	δij	NOUN
ejpam-6439	39	8	for	for	ADP
ejpam-6439	39	9	(	(	PUNCT
ejpam-6439	39	10	i	i	PROPN
ejpam-6439	39	11	,	,	PUNCT
ejpam-6439	39	12	j	j	PROPN
ejpam-6439	39	13	)	)	PUNCT
ejpam-6439	39	14	∈	∈	PROPN
ejpam-6439	39	15	e	e	NOUN
ejpam-6439	39	16	,	,	PUNCT
ejpam-6439	39	17	the	the	DET
ejpam-6439	39	18	model	model	NOUN
ejpam-6439	39	19	above	above	ADP
ejpam-6439	39	20	corresponds	correspond	NOUN
ejpam-6439	39	21	to	to	ADP
ejpam-6439	39	22	the	the	DET
ejpam-6439	39	23	saturated	saturate	VERB
ejpam-6439	39	24	model	model	NOUN
ejpam-6439	39	25	.	.	PUNCT
ejpam-6439	40	1	conversely	conversely	ADV
ejpam-6439	40	2	:	:	PUNCT
ejpam-6439	40	3	(	(	PUNCT
ejpam-6439	40	4	i	i	NOUN
ejpam-6439	40	5	)	)	PUNCT
ejpam-6439	40	6	when	when	SCONJ
ejpam-6439	40	7	the	the	DET
ejpam-6439	40	8	restrictions	restriction	NOUN
ejpam-6439	40	9	δij	δij	NOUN
ejpam-6439	40	10	=	=	NOUN
ejpam-6439	40	11	1	1	NUM
ejpam-6439	40	12	for	for	ADP
ejpam-6439	40	13	(	(	PUNCT
ejpam-6439	40	14	i	i	PROPN
ejpam-6439	40	15	,	,	PUNCT
ejpam-6439	40	16	j	j	PROPN
ejpam-6439	40	17	)	)	PUNCT
ejpam-6439	40	18	∈	∈	PROPN
ejpam-6439	40	19	e	e	NOUN
ejpam-6439	40	20	are	be	AUX
ejpam-6439	40	21	imposed	impose	VERB
ejpam-6439	40	22	,	,	PUNCT
ejpam-6439	40	23	the	the	DET
ejpam-6439	40	24	model	model	NOUN
ejpam-6439	40	25	corresponds	correspond	VERB
ejpam-6439	40	26	to	to	ADP
ejpam-6439	40	27	the	the	DET
ejpam-6439	40	28	anti	anti	NOUN
ejpam-6439	40	29	-	-	NOUN
ejpam-6439	40	30	symmetry	symmetry	NOUN
ejpam-6439	40	31	(	(	PUNCT
ejpam-6439	40	32	as	as	ADP
ejpam-6439	40	33	)	)	PUNCT
ejpam-6439	40	34	model	model	NOUN
ejpam-6439	40	35	[	[	X
ejpam-6439	40	36	5	5	NUM
ejpam-6439	40	37	]	]	PUNCT
ejpam-6439	40	38	.	.	PUNCT
ejpam-6439	41	1	(	(	PUNCT
ejpam-6439	41	2	ii	ii	NOUN
ejpam-6439	41	3	)	)	PUNCT
ejpam-6439	41	4	when	when	SCONJ
ejpam-6439	41	5	the	the	DET
ejpam-6439	41	6	restrictions	restriction	NOUN
ejpam-6439	41	7	δij	δij	NOUN
ejpam-6439	41	8	=	=	PUNCT
ejpam-6439	41	9	δ	δ	PROPN
ejpam-6439	41	10	for	for	ADP
ejpam-6439	41	11	(	(	PUNCT
ejpam-6439	41	12	i	i	PROPN
ejpam-6439	41	13	,	,	PUNCT
ejpam-6439	41	14	j	j	PROPN
ejpam-6439	41	15	)	)	PUNCT
ejpam-6439	41	16	∈	∈	PROPN
ejpam-6439	41	17	e	e	NOUN
ejpam-6439	41	18	are	be	AUX
ejpam-6439	41	19	imposed	impose	VERB
ejpam-6439	41	20	,	,	PUNCT
ejpam-6439	41	21	the	the	DET
ejpam-6439	41	22	model	model	NOUN
ejpam-6439	41	23	corresponds	correspond	VERB
ejpam-6439	41	24	to	to	ADP
ejpam-6439	41	25	the	the	DET
ejpam-6439	41	26	anti	anti	ADJ
ejpam-6439	41	27	-	-	ADJ
ejpam-6439	41	28	conditional	conditional	ADJ
ejpam-6439	41	29	symmetry	symmetry	NOUN
ejpam-6439	41	30	(	(	PUNCT
ejpam-6439	41	31	acs	acs	NOUN
ejpam-6439	41	32	)	)	PUNCT
ejpam-6439	41	33	model	model	NOUN
ejpam-6439	41	34	[	[	X
ejpam-6439	41	35	6	6	NUM
ejpam-6439	41	36	]	]	PUNCT
ejpam-6439	41	37	.	.	PUNCT
ejpam-6439	42	1	(	(	PUNCT
ejpam-6439	42	2	iii	iii	NOUN
ejpam-6439	42	3	)	)	PUNCT
ejpam-6439	42	4	when	when	SCONJ
ejpam-6439	42	5	the	the	DET
ejpam-6439	42	6	restrictions	restriction	NOUN
ejpam-6439	42	7	δij	δij	NOUN
ejpam-6439	42	8	=	=	SYM
ejpam-6439	42	9	δr+1−(i+j	δr+1−(i+j	PROPN
ejpam-6439	42	10	)	)	PUNCT
ejpam-6439	42	11	for	for	ADP
ejpam-6439	42	12	(	(	PUNCT
ejpam-6439	42	13	i	i	PROPN
ejpam-6439	42	14	,	,	PUNCT
ejpam-6439	42	15	j	j	PROPN
ejpam-6439	42	16	)	)	PUNCT
ejpam-6439	42	17	∈	∈	PROPN
ejpam-6439	42	18	e	e	NOUN
ejpam-6439	42	19	are	be	AUX
ejpam-6439	42	20	imposed	impose	VERB
ejpam-6439	42	21	,	,	PUNCT
ejpam-6439	42	22	the	the	DET
ejpam-6439	42	23	model	model	NOUN
ejpam-6439	42	24	corresponds	correspond	VERB
ejpam-6439	42	25	to	to	ADP
ejpam-6439	42	26	the	the	DET
ejpam-6439	42	27	anti	anti	ADJ
ejpam-6439	42	28	-	-	ADJ
ejpam-6439	42	29	diagonals	diagonal	NOUN
ejpam-6439	42	30	-	-	PUNCT
ejpam-6439	42	31	parameter	parameter	NOUN
ejpam-6439	42	32	symmetry	symmetry	NOUN
ejpam-6439	42	33	(	(	PUNCT
ejpam-6439	42	34	adps	adps	PROPN
ejpam-6439	42	35	)	)	PUNCT
ejpam-6439	42	36	model	model	NOUN
ejpam-6439	42	37	[	[	X
ejpam-6439	42	38	7	7	NUM
ejpam-6439	42	39	]	]	PUNCT
ejpam-6439	42	40	.	.	PUNCT
ejpam-6439	43	1	given	give	VERB
ejpam-6439	43	2	that	that	SCONJ
ejpam-6439	43	3	the	the	DET
ejpam-6439	43	4	adps	adps	NOUN
ejpam-6439	43	5	model	model	NOUN
ejpam-6439	43	6	includesr−1	includesr−1	PROPN
ejpam-6439	43	7	asymmetric	asymmetric	ADJ
ejpam-6439	43	8	parameters	parameter	NOUN
ejpam-6439	43	9	(	(	PUNCT
ejpam-6439	43	10	i.e.	i.e.	X
ejpam-6439	43	11	,	,	PUNCT
ejpam-6439	43	12	δ1	δ1	NOUN
ejpam-6439	43	13	,	,	PUNCT
ejpam-6439	43	14	δ2	δ2	PROPN
ejpam-6439	43	15	,	,	PUNCT
ejpam-6439	43	16	.	.	PUNCT
ejpam-6439	43	17	.	.	PUNCT
ejpam-6439	43	18	.	.	PUNCT
ejpam-6439	44	1	,	,	PUNCT
ejpam-6439	44	2	δr−1	δr−1	PROPN
ejpam-6439	44	3	)	)	PUNCT
ejpam-6439	44	4	,	,	PUNCT
ejpam-6439	44	5	while	while	SCONJ
ejpam-6439	44	6	the	the	DET
ejpam-6439	44	7	acs	acs	PROPN
ejpam-6439	44	8	model	model	NOUN
ejpam-6439	44	9	includes	include	VERB
ejpam-6439	44	10	only	only	ADV
ejpam-6439	44	11	one	one	NUM
ejpam-6439	44	12	(	(	PUNCT
ejpam-6439	44	13	i.e.	i.e.	X
ejpam-6439	44	14	,	,	PUNCT
ejpam-6439	44	15	δ	δ	PROPN
ejpam-6439	44	16	)	)	PUNCT
ejpam-6439	44	17	,	,	PUNCT
ejpam-6439	44	18	the	the	DET
ejpam-6439	44	19	adps	adps	NOUN
ejpam-6439	44	20	model	model	NOUN
ejpam-6439	44	21	offers	offer	VERB
ejpam-6439	44	22	greater	great	ADJ
ejpam-6439	44	23	flexibility	flexibility	NOUN
ejpam-6439	44	24	than	than	ADP
ejpam-6439	44	25	the	the	DET
ejpam-6439	44	26	acs	acs	PROPN
ejpam-6439	44	27	model	model	NOUN
ejpam-6439	44	28	in	in	ADP
ejpam-6439	44	29	representing	represent	VERB
ejpam-6439	44	30	complex	complex	ADJ
ejpam-6439	44	31	asymmetric	asymmetric	ADJ
ejpam-6439	44	32	structures	structure	NOUN
ejpam-6439	44	33	.	.	PUNCT
ejpam-6439	45	1	however	however	ADV
ejpam-6439	45	2	,	,	PUNCT
ejpam-6439	45	3	the	the	DET
ejpam-6439	45	4	adps	adps	NOUN
ejpam-6439	45	5	model	model	NOUN
ejpam-6439	45	6	is	be	AUX
ejpam-6439	45	7	saturated	saturate	VERB
ejpam-6439	45	8	in	in	ADP
ejpam-6439	45	9	the	the	DET
ejpam-6439	45	10	following	follow	VERB
ejpam-6439	45	11	cells	cell	NOUN
ejpam-6439	45	12	:	:	PUNCT
ejpam-6439	45	13	the	the	DET
ejpam-6439	45	14	cell	cell	NOUN
ejpam-6439	45	15	in	in	ADP
ejpam-6439	45	16	the	the	DET
ejpam-6439	45	17	first	first	ADJ
ejpam-6439	45	18	row	row	NOUN
ejpam-6439	45	19	and	and	CCONJ
ejpam-6439	45	20	first	first	ADJ
ejpam-6439	45	21	column	column	NOUN
ejpam-6439	45	22	,	,	PUNCT
ejpam-6439	45	23	the	the	DET
ejpam-6439	45	24	cell	cell	NOUN
ejpam-6439	45	25	in	in	ADP
ejpam-6439	45	26	the	the	DET
ejpam-6439	45	27	rth	rth	NOUN
ejpam-6439	45	28	row	row	NOUN
ejpam-6439	45	29	and	and	CCONJ
ejpam-6439	45	30	rth	rth	NOUN
ejpam-6439	45	31	column	column	NOUN
ejpam-6439	45	32	,	,	PUNCT
ejpam-6439	45	33	and	and	CCONJ
ejpam-6439	45	34	all	all	DET
ejpam-6439	45	35	anti	anti	ADJ
ejpam-6439	45	36	-	-	ADJ
ejpam-6439	45	37	diagonal	diagonal	ADJ
ejpam-6439	45	38	cells	cell	NOUN
ejpam-6439	45	39	.	.	PUNCT
ejpam-6439	46	1	observed	observe	VERB
ejpam-6439	46	2	frequencies	frequency	NOUN
ejpam-6439	46	3	in	in	ADP
ejpam-6439	46	4	square	square	ADJ
ejpam-6439	46	5	s.	s.	PROPN
ejpam-6439	46	6	ando	ando	PROPN
ejpam-6439	46	7	/	/	SYM
ejpam-6439	46	8	eur	eur	PROPN
ejpam-6439	46	9	.	.	PUNCT
ejpam-6439	47	1	j.	j.	PROPN
ejpam-6439	47	2	pure	pure	PROPN
ejpam-6439	47	3	appl	appl	PROPN
ejpam-6439	47	4	.	.	PROPN
ejpam-6439	47	5	math	math	PROPN
ejpam-6439	47	6	,	,	PUNCT
ejpam-6439	47	7	18	18	NUM
ejpam-6439	47	8	(	(	PUNCT
ejpam-6439	47	9	4	4	NUM
ejpam-6439	47	10	)	)	PUNCT
ejpam-6439	47	11	(	(	PUNCT
ejpam-6439	47	12	2025	2025	NUM
ejpam-6439	47	13	)	)	PUNCT
ejpam-6439	47	14	,	,	PUNCT
ejpam-6439	47	15	6439	6439	NUM
ejpam-6439	47	16	3	3	NUM
ejpam-6439	47	17	of	of	ADP
ejpam-6439	47	18	13	13	NUM
ejpam-6439	47	19	contingency	contingency	NOUN
ejpam-6439	47	20	tables	table	NOUN
ejpam-6439	47	21	tend	tend	VERB
ejpam-6439	47	22	to	to	PART
ejpam-6439	47	23	concentrate	concentrate	VERB
ejpam-6439	47	24	along	along	ADP
ejpam-6439	47	25	the	the	DET
ejpam-6439	47	26	main	main	ADJ
ejpam-6439	47	27	diagonal	diagonal	NOUN
ejpam-6439	47	28	.	.	PUNCT
ejpam-6439	48	1	in	in	ADP
ejpam-6439	48	2	light	light	NOUN
ejpam-6439	48	3	of	of	ADP
ejpam-6439	48	4	this	this	DET
ejpam-6439	48	5	tendency	tendency	NOUN
ejpam-6439	48	6	,	,	PUNCT
ejpam-6439	48	7	it	it	PRON
ejpam-6439	48	8	may	may	AUX
ejpam-6439	48	9	be	be	AUX
ejpam-6439	48	10	advantageous	advantageous	ADJ
ejpam-6439	48	11	to	to	PART
ejpam-6439	48	12	consider	consider	VERB
ejpam-6439	48	13	a	a	DET
ejpam-6439	48	14	model	model	NOUN
ejpam-6439	48	15	that	that	SCONJ
ejpam-6439	48	16	,	,	PUNCT
ejpam-6439	48	17	like	like	ADP
ejpam-6439	48	18	the	the	DET
ejpam-6439	48	19	acs	acs	PROPN
ejpam-6439	48	20	model	model	NOUN
ejpam-6439	48	21	,	,	PUNCT
ejpam-6439	48	22	is	be	AUX
ejpam-6439	48	23	saturated	saturate	VERB
ejpam-6439	48	24	only	only	ADV
ejpam-6439	48	25	on	on	ADP
ejpam-6439	48	26	the	the	DET
ejpam-6439	48	27	anti	anti	ADJ
ejpam-6439	48	28	-	-	ADJ
ejpam-6439	48	29	diagonal	diagonal	ADJ
ejpam-6439	48	30	,	,	PUNCT
ejpam-6439	48	31	but	but	CCONJ
ejpam-6439	48	32	that	that	PRON
ejpam-6439	48	33	offers	offer	VERB
ejpam-6439	48	34	greater	great	ADJ
ejpam-6439	48	35	flexibility	flexibility	NOUN
ejpam-6439	48	36	in	in	ADP
ejpam-6439	48	37	capturing	capture	VERB
ejpam-6439	48	38	asymmetric	asymmetric	ADJ
ejpam-6439	48	39	structures	structure	NOUN
ejpam-6439	48	40	.	.	PUNCT
ejpam-6439	49	1	to	to	PART
ejpam-6439	49	2	address	address	VERB
ejpam-6439	49	3	this	this	DET
ejpam-6439	49	4	issue	issue	NOUN
ejpam-6439	49	5	,	,	PUNCT
ejpam-6439	49	6	the	the	DET
ejpam-6439	49	7	present	present	ADJ
ejpam-6439	49	8	paper	paper	NOUN
ejpam-6439	49	9	proposes	propose	VERB
ejpam-6439	49	10	a	a	DET
ejpam-6439	49	11	new	new	ADJ
ejpam-6439	49	12	model	model	NOUN
ejpam-6439	49	13	that	that	PRON
ejpam-6439	49	14	is	be	AUX
ejpam-6439	49	15	saturated	saturate	VERB
ejpam-6439	49	16	only	only	ADV
ejpam-6439	49	17	in	in	ADP
ejpam-6439	49	18	the	the	DET
ejpam-6439	49	19	anti	anti	ADJ
ejpam-6439	49	20	-	-	ADJ
ejpam-6439	49	21	diagonal	diagonal	ADJ
ejpam-6439	49	22	cells	cell	NOUN
ejpam-6439	49	23	of	of	ADP
ejpam-6439	49	24	the	the	DET
ejpam-6439	49	25	table	table	NOUN
ejpam-6439	49	26	.	.	PUNCT
ejpam-6439	50	1	like	like	ADP
ejpam-6439	50	2	the	the	DET
ejpam-6439	50	3	adps	adps	PROPN
ejpam-6439	50	4	model	model	NOUN
ejpam-6439	50	5	,	,	PUNCT
ejpam-6439	50	6	the	the	DET
ejpam-6439	50	7	proposed	propose	VERB
ejpam-6439	50	8	model	model	NOUN
ejpam-6439	50	9	allows	allow	VERB
ejpam-6439	50	10	the	the	DET
ejpam-6439	50	11	degree	degree	NOUN
ejpam-6439	50	12	of	of	ADP
ejpam-6439	50	13	asymmetry	asymmetry	NOUN
ejpam-6439	50	14	to	to	PART
ejpam-6439	50	15	vary	vary	VERB
ejpam-6439	50	16	depending	depend	VERB
ejpam-6439	50	17	on	on	ADP
ejpam-6439	50	18	the	the	DET
ejpam-6439	50	19	distance	distance	NOUN
ejpam-6439	50	20	from	from	ADP
ejpam-6439	50	21	the	the	DET
ejpam-6439	50	22	anti	anti	ADJ
ejpam-6439	50	23	-	-	ADJ
ejpam-6439	50	24	diagonal	diagonal	ADJ
ejpam-6439	50	25	.	.	PUNCT
ejpam-6439	51	1	the	the	DET
ejpam-6439	51	2	remainder	remainder	NOUN
ejpam-6439	51	3	of	of	ADP
ejpam-6439	51	4	this	this	DET
ejpam-6439	51	5	paper	paper	NOUN
ejpam-6439	51	6	is	be	AUX
ejpam-6439	51	7	organized	organize	VERB
ejpam-6439	51	8	as	as	SCONJ
ejpam-6439	51	9	follows	follow	VERB
ejpam-6439	51	10	.	.	PUNCT
ejpam-6439	52	1	in	in	ADP
ejpam-6439	52	2	section	section	NOUN
ejpam-6439	52	3	2	2	NUM
ejpam-6439	52	4	,	,	PUNCT
ejpam-6439	52	5	we	we	PRON
ejpam-6439	52	6	propose	propose	VERB
ejpam-6439	52	7	a	a	DET
ejpam-6439	52	8	new	new	ADJ
ejpam-6439	52	9	model	model	NOUN
ejpam-6439	52	10	.	.	PUNCT
ejpam-6439	53	1	section	section	NOUN
ejpam-6439	53	2	2	2	NUM
ejpam-6439	53	3	also	also	ADV
ejpam-6439	53	4	presents	present	VERB
ejpam-6439	53	5	the	the	DET
ejpam-6439	53	6	decomposition	decomposition	NOUN
ejpam-6439	53	7	of	of	ADP
ejpam-6439	53	8	the	the	PRON
ejpam-6439	53	9	as	as	ADP
ejpam-6439	53	10	model	model	NOUN
ejpam-6439	53	11	using	use	VERB
ejpam-6439	53	12	the	the	DET
ejpam-6439	53	13	proposed	propose	VERB
ejpam-6439	53	14	model	model	NOUN
ejpam-6439	53	15	,	,	PUNCT
ejpam-6439	53	16	while	while	SCONJ
ejpam-6439	53	17	section	section	NOUN
ejpam-6439	53	18	3	3	NUM
ejpam-6439	53	19	describes	describe	VERB
ejpam-6439	53	20	the	the	DET
ejpam-6439	53	21	decomposition	decomposition	NOUN
ejpam-6439	53	22	of	of	ADP
ejpam-6439	53	23	the	the	DET
ejpam-6439	53	24	test	test	NOUN
ejpam-6439	53	25	statistic	statistic	NOUN
ejpam-6439	53	26	for	for	ADP
ejpam-6439	53	27	the	the	PRON
ejpam-6439	53	28	as	as	ADP
ejpam-6439	53	29	model	model	NOUN
ejpam-6439	53	30	.	.	PUNCT
ejpam-6439	54	1	section	section	NOUN
ejpam-6439	54	2	4	4	NUM
ejpam-6439	54	3	demonstrates	demonstrate	VERB
ejpam-6439	54	4	the	the	DET
ejpam-6439	54	5	advantages	advantage	NOUN
ejpam-6439	54	6	of	of	ADP
ejpam-6439	54	7	the	the	DET
ejpam-6439	54	8	proposed	propose	VERB
ejpam-6439	54	9	model	model	NOUN
ejpam-6439	54	10	through	through	ADP
ejpam-6439	54	11	an	an	DET
ejpam-6439	54	12	application	application	NOUN
ejpam-6439	54	13	to	to	ADP
ejpam-6439	54	14	a	a	DET
ejpam-6439	54	15	real	real	ADJ
ejpam-6439	54	16	dataset	dataset	NOUN
ejpam-6439	54	17	.	.	PUNCT
ejpam-6439	55	1	finally	finally	ADV
ejpam-6439	55	2	,	,	PUNCT
ejpam-6439	55	3	section	section	NOUN
ejpam-6439	55	4	5	5	NUM
ejpam-6439	55	5	provides	provide	VERB
ejpam-6439	55	6	concluding	concluding	NOUN
ejpam-6439	55	7	remarks	remark	NOUN
ejpam-6439	55	8	.	.	PUNCT
ejpam-6439	56	1	2	2	X
ejpam-6439	56	2	.	.	NUM
ejpam-6439	56	3	proposed	propose	VERB
ejpam-6439	56	4	model	model	NOUN
ejpam-6439	56	5	this	this	DET
ejpam-6439	56	6	study	study	NOUN
ejpam-6439	56	7	proposes	propose	VERB
ejpam-6439	56	8	the	the	DET
ejpam-6439	56	9	anti	anti	ADJ
ejpam-6439	56	10	-	-	ADJ
ejpam-6439	56	11	linear	linear	ADJ
ejpam-6439	56	12	diagonals	diagonal	NOUN
ejpam-6439	56	13	-	-	PUNCT
ejpam-6439	56	14	parameter	parameter	NOUN
ejpam-6439	56	15	symmetry	symmetry	NOUN
ejpam-6439	56	16	(	(	PUNCT
ejpam-6439	56	17	aldps	aldps	ADJ
ejpam-6439	56	18	)	)	PUNCT
ejpam-6439	56	19	model	model	NOUN
ejpam-6439	56	20	,	,	PUNCT
ejpam-6439	56	21	which	which	PRON
ejpam-6439	56	22	is	be	AUX
ejpam-6439	56	23	defined	define	VERB
ejpam-6439	56	24	by	by	ADP
ejpam-6439	56	25	the	the	DET
ejpam-6439	56	26	following	follow	VERB
ejpam-6439	56	27	equation	equation	NOUN
ejpam-6439	56	28	:	:	PUNCT
ejpam-6439	56	29	πij	πij	PROPN
ejpam-6439	56	30	=	=	SYM
ejpam-6439	56	31	δr+1−(i+j)πj∗i∗	δr+1−(i+j)πj∗i∗	PROPN
ejpam-6439	56	32	for	for	ADP
ejpam-6439	56	33	(	(	PUNCT
ejpam-6439	56	34	i	i	PROPN
ejpam-6439	56	35	,	,	PUNCT
ejpam-6439	56	36	j	j	PROPN
ejpam-6439	56	37	)	)	PUNCT
ejpam-6439	56	38	∈	∈	PROPN
ejpam-6439	56	39	e	e	NOUN
ejpam-6439	56	40	,	,	PUNCT
ejpam-6439	56	41	where	where	SCONJ
ejpam-6439	56	42	δ	δ	PROPN
ejpam-6439	56	43	is	be	AUX
ejpam-6439	56	44	unknown	unknown	ADJ
ejpam-6439	56	45	parameter	parameter	NOUN
ejpam-6439	56	46	.	.	PUNCT
ejpam-6439	57	1	note	note	VERB
ejpam-6439	57	2	that	that	SCONJ
ejpam-6439	57	3	the	the	DET
ejpam-6439	57	4	aldps	aldps	ADJ
ejpam-6439	57	5	model	model	NOUN
ejpam-6439	57	6	is	be	AUX
ejpam-6439	57	7	saturated	saturate	VERB
ejpam-6439	57	8	only	only	ADV
ejpam-6439	57	9	in	in	ADP
ejpam-6439	57	10	the	the	DET
ejpam-6439	57	11	anti	anti	ADJ
ejpam-6439	57	12	-	-	ADJ
ejpam-6439	57	13	diagonal	diagonal	ADJ
ejpam-6439	57	14	cells	cell	NOUN
ejpam-6439	57	15	of	of	ADP
ejpam-6439	57	16	the	the	DET
ejpam-6439	57	17	table	table	NOUN
ejpam-6439	57	18	.	.	PUNCT
ejpam-6439	58	1	similar	similar	ADJ
ejpam-6439	58	2	to	to	ADP
ejpam-6439	58	3	the	the	DET
ejpam-6439	58	4	adps	adps	PROPN
ejpam-6439	58	5	model	model	NOUN
ejpam-6439	58	6	,	,	PUNCT
ejpam-6439	58	7	the	the	DET
ejpam-6439	58	8	aldps	aldps	ADJ
ejpam-6439	58	9	model	model	NOUN
ejpam-6439	58	10	allows	allow	VERB
ejpam-6439	58	11	the	the	DET
ejpam-6439	58	12	degree	degree	NOUN
ejpam-6439	58	13	of	of	ADP
ejpam-6439	58	14	asymmetry	asymmetry	NOUN
ejpam-6439	58	15	to	to	PART
ejpam-6439	58	16	vary	vary	VERB
ejpam-6439	58	17	depending	depend	VERB
ejpam-6439	58	18	on	on	ADP
ejpam-6439	58	19	the	the	DET
ejpam-6439	58	20	distance	distance	NOUN
ejpam-6439	58	21	from	from	ADP
ejpam-6439	58	22	the	the	DET
ejpam-6439	58	23	anti	anti	ADJ
ejpam-6439	58	24	-	-	ADJ
ejpam-6439	58	25	diagonal	diagonal	ADJ
ejpam-6439	58	26	(	(	PUNCT
ejpam-6439	58	27	i.e.	i.e.	X
ejpam-6439	58	28	,	,	PUNCT
ejpam-6439	58	29	r+1−	r+1−	PROPN
ejpam-6439	58	30	(	(	PUNCT
ejpam-6439	58	31	i+	i+	PROPN
ejpam-6439	58	32	j	j	NOUN
ejpam-6439	58	33	)	)	PUNCT
ejpam-6439	58	34	)	)	PUNCT
ejpam-6439	58	35	.	.	PUNCT
ejpam-6439	59	1	however	however	ADV
ejpam-6439	59	2	,	,	PUNCT
ejpam-6439	59	3	while	while	SCONJ
ejpam-6439	59	4	the	the	DET
ejpam-6439	59	5	adps	adps	NOUN
ejpam-6439	59	6	model	model	NOUN
ejpam-6439	59	7	includes	include	VERB
ejpam-6439	59	8	r−	r−	PROPN
ejpam-6439	59	9	1	1	NUM
ejpam-6439	59	10	asymmetric	asymmetric	ADJ
ejpam-6439	59	11	parameters	parameter	NOUN
ejpam-6439	59	12	,	,	PUNCT
ejpam-6439	59	13	the	the	DET
ejpam-6439	59	14	aldps	aldps	ADJ
ejpam-6439	59	15	model	model	NOUN
ejpam-6439	59	16	includes	include	VERB
ejpam-6439	59	17	only	only	ADV
ejpam-6439	59	18	a	a	DET
ejpam-6439	59	19	single	single	ADJ
ejpam-6439	59	20	asymmetric	asymmetric	ADJ
ejpam-6439	59	21	parameter	parameter	NOUN
ejpam-6439	59	22	.	.	PUNCT
ejpam-6439	60	1	as	as	ADP
ejpam-6439	60	2	a	a	DET
ejpam-6439	60	3	special	special	ADJ
ejpam-6439	60	4	case	case	NOUN
ejpam-6439	60	5	of	of	ADP
ejpam-6439	60	6	the	the	DET
ejpam-6439	60	7	adps	adps	PROPN
ejpam-6439	60	8	model	model	NOUN
ejpam-6439	60	9	,	,	PUNCT
ejpam-6439	60	10	the	the	DET
ejpam-6439	60	11	adps	adps	NOUN
ejpam-6439	60	12	model	model	NOUN
ejpam-6439	60	13	with	with	ADP
ejpam-6439	60	14	δr+1−(i+j	δr+1−(i+j	X
ejpam-6439	60	15	)	)	PUNCT
ejpam-6439	60	16	=	=	SYM
ejpam-6439	60	17	δr+1−(i+j	δr+1−(i+j	X
ejpam-6439	60	18	)	)	PUNCT
ejpam-6439	60	19	for	for	ADP
ejpam-6439	60	20	(	(	PUNCT
ejpam-6439	60	21	i	i	PROPN
ejpam-6439	60	22	,	,	PUNCT
ejpam-6439	60	23	j	j	PROPN
ejpam-6439	60	24	)	)	PUNCT
ejpam-6439	60	25	∈	∈	PROPN
ejpam-6439	60	26	e	e	NOUN
ejpam-6439	60	27	coincides	coincide	VERB
ejpam-6439	60	28	with	with	ADP
ejpam-6439	60	29	the	the	DET
ejpam-6439	60	30	aldps	aldps	PROPN
ejpam-6439	60	31	model	model	NOUN
ejpam-6439	60	32	.	.	PUNCT
ejpam-6439	61	1	therefore	therefore	ADV
ejpam-6439	61	2	,	,	PUNCT
ejpam-6439	61	3	the	the	DET
ejpam-6439	61	4	adps	adps	NOUN
ejpam-6439	61	5	model	model	NOUN
ejpam-6439	61	6	offers	offer	VERB
ejpam-6439	61	7	greater	great	ADJ
ejpam-6439	61	8	flexibility	flexibility	NOUN
ejpam-6439	61	9	than	than	ADP
ejpam-6439	61	10	the	the	DET
ejpam-6439	61	11	aldps	aldps	ADJ
ejpam-6439	61	12	model	model	NOUN
ejpam-6439	61	13	in	in	ADP
ejpam-6439	61	14	representing	represent	VERB
ejpam-6439	61	15	complex	complex	ADJ
ejpam-6439	61	16	asymmetric	asymmetric	ADJ
ejpam-6439	61	17	structures	structure	NOUN
ejpam-6439	61	18	.	.	PUNCT
ejpam-6439	62	1	nevertheless	nevertheless	ADV
ejpam-6439	62	2	,	,	PUNCT
ejpam-6439	62	3	the	the	DET
ejpam-6439	62	4	adps	adps	NOUN
ejpam-6439	62	5	model	model	NOUN
ejpam-6439	62	6	is	be	AUX
ejpam-6439	62	7	saturated	saturate	VERB
ejpam-6439	62	8	in	in	ADP
ejpam-6439	62	9	the	the	DET
ejpam-6439	62	10	following	follow	VERB
ejpam-6439	62	11	cells	cell	NOUN
ejpam-6439	62	12	:	:	PUNCT
ejpam-6439	62	13	the	the	DET
ejpam-6439	62	14	cell	cell	NOUN
ejpam-6439	62	15	in	in	ADP
ejpam-6439	62	16	the	the	DET
ejpam-6439	62	17	first	first	ADJ
ejpam-6439	62	18	row	row	NOUN
ejpam-6439	62	19	and	and	CCONJ
ejpam-6439	62	20	first	first	ADJ
ejpam-6439	62	21	column	column	NOUN
ejpam-6439	62	22	,	,	PUNCT
ejpam-6439	62	23	the	the	DET
ejpam-6439	62	24	cell	cell	NOUN
ejpam-6439	62	25	in	in	ADP
ejpam-6439	62	26	the	the	DET
ejpam-6439	62	27	rth	rth	NOUN
ejpam-6439	62	28	row	row	NOUN
ejpam-6439	62	29	and	and	CCONJ
ejpam-6439	62	30	rth	rth	NOUN
ejpam-6439	62	31	column	column	NOUN
ejpam-6439	62	32	,	,	PUNCT
ejpam-6439	62	33	and	and	CCONJ
ejpam-6439	62	34	all	all	DET
ejpam-6439	62	35	anti	anti	ADJ
ejpam-6439	62	36	-	-	ADJ
ejpam-6439	62	37	diagonal	diagonal	ADJ
ejpam-6439	62	38	cells	cell	NOUN
ejpam-6439	62	39	.	.	PUNCT
ejpam-6439	63	1	given	give	VERB
ejpam-6439	63	2	that	that	DET
ejpam-6439	63	3	observed	observe	VERB
ejpam-6439	63	4	frequencies	frequency	NOUN
ejpam-6439	63	5	in	in	ADP
ejpam-6439	63	6	square	square	ADJ
ejpam-6439	63	7	contingency	contingency	NOUN
ejpam-6439	63	8	tables	table	NOUN
ejpam-6439	63	9	tend	tend	VERB
ejpam-6439	63	10	to	to	PART
ejpam-6439	63	11	concentrate	concentrate	VERB
ejpam-6439	63	12	along	along	ADP
ejpam-6439	63	13	the	the	DET
ejpam-6439	63	14	main	main	ADJ
ejpam-6439	63	15	diagonal	diagonal	NOUN
ejpam-6439	63	16	,	,	PUNCT
ejpam-6439	63	17	the	the	DET
ejpam-6439	63	18	aldps	aldps	ADJ
ejpam-6439	63	19	model	model	NOUN
ejpam-6439	63	20	may	may	AUX
ejpam-6439	63	21	be	be	AUX
ejpam-6439	63	22	considered	consider	VERB
ejpam-6439	63	23	more	more	ADV
ejpam-6439	63	24	advantageous	advantageous	ADJ
ejpam-6439	63	25	than	than	ADP
ejpam-6439	63	26	the	the	DET
ejpam-6439	63	27	adps	adps	NOUN
ejpam-6439	63	28	model	model	NOUN
ejpam-6439	63	29	in	in	ADP
ejpam-6439	63	30	practice	practice	NOUN
ejpam-6439	63	31	.	.	PUNCT
ejpam-6439	64	1	as	as	ADP
ejpam-6439	64	2	a	a	DET
ejpam-6439	64	3	special	special	ADJ
ejpam-6439	64	4	case	case	NOUN
ejpam-6439	64	5	of	of	ADP
ejpam-6439	64	6	the	the	DET
ejpam-6439	64	7	aldps	aldps	PROPN
ejpam-6439	64	8	model	model	NOUN
ejpam-6439	64	9	,	,	PUNCT
ejpam-6439	64	10	the	the	DET
ejpam-6439	64	11	aldps	aldps	ADJ
ejpam-6439	64	12	model	model	NOUN
ejpam-6439	64	13	with	with	ADP
ejpam-6439	64	14	δr+1−(i+j	δr+1−(i+j	X
ejpam-6439	64	15	)	)	PUNCT
ejpam-6439	64	16	=	=	SYM
ejpam-6439	64	17	1	1	NUM
ejpam-6439	64	18	for	for	ADP
ejpam-6439	64	19	(	(	PUNCT
ejpam-6439	64	20	i	i	PROPN
ejpam-6439	64	21	,	,	PUNCT
ejpam-6439	64	22	j	j	PROPN
ejpam-6439	64	23	)	)	PUNCT
ejpam-6439	64	24	∈	∈	PROPN
ejpam-6439	64	25	e	e	NOUN
ejpam-6439	64	26	coincides	coincide	VERB
ejpam-6439	64	27	with	with	ADP
ejpam-6439	64	28	the	the	DET
ejpam-6439	64	29	as	as	ADP
ejpam-6439	64	30	model	model	NOUN
ejpam-6439	64	31	.	.	PUNCT
ejpam-6439	65	1	when	when	SCONJ
ejpam-6439	65	2	the	the	DET
ejpam-6439	65	3	as	as	ADP
ejpam-6439	65	4	model	model	NOUN
ejpam-6439	65	5	holds	hold	VERB
ejpam-6439	65	6	,	,	PUNCT
ejpam-6439	65	7	the	the	DET
ejpam-6439	65	8	aldps	aldps	ADJ
ejpam-6439	65	9	model	model	NOUN
ejpam-6439	65	10	necessarily	necessarily	ADV
ejpam-6439	65	11	holds	hold	VERB
ejpam-6439	65	12	as	as	ADV
ejpam-6439	65	13	well	well	ADV
ejpam-6439	65	14	,	,	PUNCT
ejpam-6439	65	15	although	although	SCONJ
ejpam-6439	65	16	the	the	DET
ejpam-6439	65	17	converse	converse	NOUN
ejpam-6439	65	18	is	be	AUX
ejpam-6439	65	19	not	not	PART
ejpam-6439	65	20	always	always	ADV
ejpam-6439	65	21	true	true	ADJ
ejpam-6439	65	22	.	.	PUNCT
ejpam-6439	66	1	in	in	ADP
ejpam-6439	66	2	section	section	NOUN
ejpam-6439	66	3	3	3	NUM
ejpam-6439	66	4	,	,	PUNCT
ejpam-6439	66	5	we	we	PRON
ejpam-6439	66	6	identify	identify	VERB
ejpam-6439	66	7	a	a	DET
ejpam-6439	66	8	counterpart	counterpart	NOUN
ejpam-6439	66	9	to	to	ADP
ejpam-6439	66	10	the	the	DET
ejpam-6439	66	11	aldps	aldps	ADJ
ejpam-6439	66	12	model	model	NOUN
ejpam-6439	66	13	for	for	ADP
ejpam-6439	66	14	the	the	DET
ejpam-6439	66	15	purpose	purpose	NOUN
ejpam-6439	66	16	of	of	ADP
ejpam-6439	66	17	decomposing	decompose	VERB
ejpam-6439	66	18	the	the	PRON
ejpam-6439	66	19	as	as	ADP
ejpam-6439	66	20	model	model	NOUN
ejpam-6439	66	21	.	.	PUNCT
ejpam-6439	67	1	we	we	PRON
ejpam-6439	67	2	discuss	discuss	VERB
ejpam-6439	67	3	the	the	DET
ejpam-6439	67	4	relationship	relationship	NOUN
ejpam-6439	67	5	between	between	ADP
ejpam-6439	67	6	the	the	DET
ejpam-6439	67	7	aldps	aldps	ADJ
ejpam-6439	67	8	model	model	NOUN
ejpam-6439	67	9	and	and	CCONJ
ejpam-6439	67	10	the	the	DET
ejpam-6439	67	11	bivariate	bivariate	ADJ
ejpam-6439	67	12	normal	normal	ADJ
ejpam-6439	67	13	distribution	distribution	NOUN
ejpam-6439	67	14	.	.	PUNCT
ejpam-6439	68	1	let	let	VERB
ejpam-6439	68	2	v	v	X
ejpam-6439	68	3	andw	andw	NOUN
ejpam-6439	68	4	be	be	AUX
ejpam-6439	68	5	random	random	ADJ
ejpam-6439	68	6	variables	variable	NOUN
ejpam-6439	68	7	that	that	PRON
ejpam-6439	68	8	follow	follow	VERB
ejpam-6439	68	9	a	a	DET
ejpam-6439	68	10	joint	joint	ADJ
ejpam-6439	68	11	bivariate	bivariate	ADJ
ejpam-6439	68	12	normal	normal	ADJ
ejpam-6439	68	13	distribution	distribution	NOUN
ejpam-6439	68	14	with	with	ADP
ejpam-6439	68	15	means	mean	NOUN
ejpam-6439	68	16	e(v	e(v	NOUN
ejpam-6439	68	17	)	)	PUNCT
ejpam-6439	69	1	=	=	PUNCT
ejpam-6439	69	2	µ1	µ1	PROPN
ejpam-6439	69	3	and	and	CCONJ
ejpam-6439	69	4	e(w	e(w	ADJ
ejpam-6439	69	5	)	)	PUNCT
ejpam-6439	70	1	=	=	SYM
ejpam-6439	70	2	µ2	µ2	PROPN
ejpam-6439	70	3	,	,	PUNCT
ejpam-6439	70	4	variances	variance	NOUN
ejpam-6439	70	5	var(v	var(v	PROPN
ejpam-6439	70	6	)	)	PUNCT
ejpam-6439	71	1	=	=	SYM
ejpam-6439	71	2	var(w	var(w	PROPN
ejpam-6439	71	3	)	)	PUNCT
ejpam-6439	71	4	=	=	SYM
ejpam-6439	71	5	σ2	σ2	NOUN
ejpam-6439	71	6	,	,	PUNCT
ejpam-6439	71	7	and	and	CCONJ
ejpam-6439	71	8	correlation	correlation	NOUN
ejpam-6439	71	9	corr(v	corr(v	PROPN
ejpam-6439	71	10	,	,	PUNCT
ejpam-6439	71	11	w	w	NOUN
ejpam-6439	71	12	)	)	PUNCT
ejpam-6439	71	13	=	=	SYM
ejpam-6439	71	14	ρ	ρ	PROPN
ejpam-6439	71	15	.	.	PUNCT
ejpam-6439	72	1	the	the	DET
ejpam-6439	72	2	joint	joint	ADJ
ejpam-6439	72	3	bivariate	bivariate	ADJ
ejpam-6439	72	4	normal	normal	ADJ
ejpam-6439	72	5	density	density	NOUN
ejpam-6439	72	6	f(v	f(v	NOUN
ejpam-6439	72	7	,	,	PUNCT
ejpam-6439	72	8	w	w	NOUN
ejpam-6439	72	9	)	)	PUNCT
ejpam-6439	72	10	is	be	AUX
ejpam-6439	72	11	given	give	VERB
ejpam-6439	72	12	by	by	ADP
ejpam-6439	72	13	:	:	PUNCT
ejpam-6439	72	14	f(v	f(v	NOUN
ejpam-6439	72	15	,	,	PUNCT
ejpam-6439	72	16	w	w	NOUN
ejpam-6439	72	17	)	)	PUNCT
ejpam-6439	72	18	=	=	SYM
ejpam-6439	72	19	1	1	NUM
ejpam-6439	72	20	2πσ2	2πσ2	NUM
ejpam-6439	72	21	√	√	NUM
ejpam-6439	72	22	1−	1−	NUM
ejpam-6439	72	23	ρ2	ρ2	NOUN
ejpam-6439	72	24	exp	exp	NOUN
ejpam-6439	72	25	[	[	PUNCT
ejpam-6439	72	26	−	−	PROPN
ejpam-6439	72	27	1	1	NUM
ejpam-6439	72	28	4σ2(1−	4σ2(1−	NUM
ejpam-6439	72	29	ρ	ρ	NOUN
ejpam-6439	72	30	)	)	PUNCT
ejpam-6439	72	31	{	{	PUNCT
ejpam-6439	72	32	(	(	PUNCT
ejpam-6439	72	33	v	v	NOUN
ejpam-6439	72	34	−	−	NOUN
ejpam-6439	72	35	w)−	w)−	PROPN
ejpam-6439	72	36	(	(	PUNCT
ejpam-6439	72	37	µ1	µ1	PROPN
ejpam-6439	72	38	−	−	NOUN
ejpam-6439	72	39	µ2)}2	µ2)}2	PROPN
ejpam-6439	72	40	−	−	PROPN
ejpam-6439	72	41	1	1	NUM
ejpam-6439	72	42	4σ2(1	4σ2(1	NUM
ejpam-6439	72	43	+	+	CCONJ
ejpam-6439	72	44	ρ	ρ	NOUN
ejpam-6439	72	45	)	)	PUNCT
ejpam-6439	72	46	{	{	PUNCT
ejpam-6439	72	47	(	(	PUNCT
ejpam-6439	72	48	v	v	NOUN
ejpam-6439	72	49	+	+	CCONJ
ejpam-6439	72	50	w)−	w)−	PROPN
ejpam-6439	72	51	(	(	PUNCT
ejpam-6439	72	52	µ1	µ1	PROPN
ejpam-6439	72	53	+	+	X
ejpam-6439	72	54	µ2)}2	µ2)}2	X
ejpam-6439	72	55	]	]	PUNCT
ejpam-6439	72	56	.	.	PUNCT
ejpam-6439	73	1	s.	s.	PROPN
ejpam-6439	73	2	ando	ando	PROPN
ejpam-6439	73	3	/	/	SYM
ejpam-6439	73	4	eur	eur	PROPN
ejpam-6439	73	5	.	.	PUNCT
ejpam-6439	74	1	j.	j.	PROPN
ejpam-6439	74	2	pure	pure	PROPN
ejpam-6439	74	3	appl	appl	PROPN
ejpam-6439	74	4	.	.	PROPN
ejpam-6439	74	5	math	math	PROPN
ejpam-6439	74	6	,	,	PUNCT
ejpam-6439	74	7	18	18	NUM
ejpam-6439	74	8	(	(	PUNCT
ejpam-6439	74	9	4	4	NUM
ejpam-6439	74	10	)	)	PUNCT
ejpam-6439	74	11	(	(	PUNCT
ejpam-6439	74	12	2025	2025	NUM
ejpam-6439	74	13	)	)	PUNCT
ejpam-6439	74	14	,	,	PUNCT
ejpam-6439	74	15	6439	6439	NUM
ejpam-6439	74	16	4	4	NUM
ejpam-6439	74	17	of	of	ADP
ejpam-6439	74	18	13	13	NUM
ejpam-6439	74	19	therefore	therefore	ADV
ejpam-6439	74	20	,	,	PUNCT
ejpam-6439	74	21	the	the	DET
ejpam-6439	74	22	density	density	NOUN
ejpam-6439	74	23	f(v	f(v	NOUN
ejpam-6439	74	24	,	,	PUNCT
ejpam-6439	74	25	w	w	NOUN
ejpam-6439	74	26	)	)	PUNCT
ejpam-6439	74	27	satisfies	satisfy	VERB
ejpam-6439	74	28	the	the	DET
ejpam-6439	74	29	following	follow	VERB
ejpam-6439	74	30	identity	identity	NOUN
ejpam-6439	74	31	:	:	PUNCT
ejpam-6439	74	32	f(v	f(v	NOUN
ejpam-6439	74	33	,	,	PUNCT
ejpam-6439	74	34	w	w	NOUN
ejpam-6439	74	35	)	)	PUNCT
ejpam-6439	74	36	f(w∗	f(w∗	NOUN
ejpam-6439	74	37	,	,	PUNCT
ejpam-6439	74	38	v∗	v∗	NOUN
ejpam-6439	74	39	)	)	PUNCT
ejpam-6439	74	40	=	=	NOUN
ejpam-6439	74	41	exp	exp	NOUN
ejpam-6439	74	42	[	[	PUNCT
ejpam-6439	74	43	1	1	NUM
ejpam-6439	74	44	σ2(1	σ2(1	NOUN
ejpam-6439	74	45	+	+	CCONJ
ejpam-6439	74	46	ρ	ρ	NOUN
ejpam-6439	74	47	)	)	PUNCT
ejpam-6439	74	48	{	{	PUNCT
ejpam-6439	74	49	η	η	PROPN
ejpam-6439	74	50	−	−	PROPN
ejpam-6439	74	51	(	(	PUNCT
ejpam-6439	74	52	µ1	µ1	PROPN
ejpam-6439	74	53	+	+	NOUN
ejpam-6439	74	54	µ2)}{η	µ2)}{η	NUM
ejpam-6439	74	55	−	−	PROPN
ejpam-6439	74	56	(	(	PUNCT
ejpam-6439	74	57	v	v	NOUN
ejpam-6439	74	58	+	+	CCONJ
ejpam-6439	74	59	w	w	NOUN
ejpam-6439	74	60	)	)	PUNCT
ejpam-6439	74	61	}	}	PUNCT
ejpam-6439	74	62	]	]	PUNCT
ejpam-6439	74	63	for	for	ADP
ejpam-6439	74	64	v	v	ADP
ejpam-6439	74	65	<	<	X
ejpam-6439	74	66	w	w	NOUN
ejpam-6439	74	67	,	,	PUNCT
ejpam-6439	74	68	where	where	SCONJ
ejpam-6439	74	69	v∗	v∗	PROPN
ejpam-6439	74	70	=	=	SYM
ejpam-6439	74	71	η	η	PROPN
ejpam-6439	74	72	−	−	PROPN
ejpam-6439	74	73	v	v	NOUN
ejpam-6439	74	74	and	and	CCONJ
ejpam-6439	74	75	w∗	w∗	NOUN
ejpam-6439	74	76	=	=	SYM
ejpam-6439	74	77	η	η	PROPN
ejpam-6439	74	78	−	−	PROPN
ejpam-6439	74	79	w	w	PROPN
ejpam-6439	74	80	for	for	ADP
ejpam-6439	74	81	any	any	DET
ejpam-6439	74	82	η	η	PROPN
ejpam-6439	74	83	.	.	PROPN
ejpam-6439	74	84	this	this	DET
ejpam-6439	74	85	identity	identity	NOUN
ejpam-6439	74	86	resembles	resemble	VERB
ejpam-6439	74	87	the	the	DET
ejpam-6439	74	88	functional	functional	ADJ
ejpam-6439	74	89	form	form	NOUN
ejpam-6439	74	90	of	of	ADP
ejpam-6439	74	91	the	the	DET
ejpam-6439	74	92	aldps	aldps	PROPN
ejpam-6439	74	93	model	model	NOUN
ejpam-6439	74	94	.	.	PUNCT
ejpam-6439	75	1	therefore	therefore	ADV
ejpam-6439	75	2	,	,	PUNCT
ejpam-6439	75	3	when	when	SCONJ
ejpam-6439	75	4	we	we	PRON
ejpam-6439	75	5	aim	aim	VERB
ejpam-6439	75	6	to	to	PART
ejpam-6439	75	7	capture	capture	VERB
ejpam-6439	75	8	the	the	DET
ejpam-6439	75	9	linear	linear	ADJ
ejpam-6439	75	10	structure	structure	NOUN
ejpam-6439	75	11	in	in	ADP
ejpam-6439	75	12	the	the	DET
ejpam-6439	75	13	log	log	NOUN
ejpam-6439	75	14	odds	odd	NOUN
ejpam-6439	75	15	log{f(v	log{f(v	NUM
ejpam-6439	75	16	,	,	PUNCT
ejpam-6439	75	17	w)/f(w∗	w)/f(w∗	ADJ
ejpam-6439	75	18	,	,	PUNCT
ejpam-6439	75	19	v∗	v∗	NOUN
ejpam-6439	75	20	)	)	PUNCT
ejpam-6439	75	21	}	}	PUNCT
ejpam-6439	75	22	,	,	PUNCT
ejpam-6439	75	23	the	the	DET
ejpam-6439	75	24	aldps	aldps	ADJ
ejpam-6439	75	25	model	model	NOUN
ejpam-6439	75	26	provides	provide	VERB
ejpam-6439	75	27	an	an	DET
ejpam-6439	75	28	appropriate	appropriate	ADJ
ejpam-6439	75	29	framework	framework	NOUN
ejpam-6439	75	30	.	.	PUNCT
ejpam-6439	76	1	in	in	ADP
ejpam-6439	76	2	terms	term	NOUN
ejpam-6439	76	3	of	of	ADP
ejpam-6439	76	4	simulation	simulation	NOUN
ejpam-6439	76	5	studies	study	NOUN
ejpam-6439	76	6	,	,	PUNCT
ejpam-6439	76	7	tables	table	VERB
ejpam-6439	76	8	1a	1a	NOUN
ejpam-6439	76	9	and	and	CCONJ
ejpam-6439	76	10	b	b	X
ejpam-6439	76	11	,	,	PUNCT
ejpam-6439	76	12	taken	take	VERB
ejpam-6439	76	13	from	from	ADP
ejpam-6439	76	14	tomizawa	tomizawa	PROPN
ejpam-6439	76	15	,	,	PUNCT
ejpam-6439	76	16	miyamoto	miyamoto	NOUN
ejpam-6439	76	17	and	and	CCONJ
ejpam-6439	76	18	ashihara	ashihara	NOUN
ejpam-6439	77	1	[	[	X
ejpam-6439	77	2	8	8	NUM
ejpam-6439	77	3	]	]	PUNCT
ejpam-6439	77	4	,	,	PUNCT
ejpam-6439	77	5	give	give	VERB
ejpam-6439	77	6	the	the	DET
ejpam-6439	77	7	4×4	4×4	NUM
ejpam-6439	77	8	tables	table	NOUN
ejpam-6439	77	9	of	of	ADP
ejpam-6439	77	10	sample	sample	NOUN
ejpam-6439	77	11	size	size	NOUN
ejpam-6439	77	12	10,000	10,000	NUM
ejpam-6439	77	13	formed	form	VERB
ejpam-6439	77	14	by	by	ADP
ejpam-6439	77	15	using	use	VERB
ejpam-6439	77	16	cut	cut	VERB
ejpam-6439	77	17	points	point	NOUN
ejpam-6439	77	18	for	for	ADP
ejpam-6439	77	19	each	each	DET
ejpam-6439	77	20	variable	variable	NOUN
ejpam-6439	77	21	at	at	ADP
ejpam-6439	77	22	µ1	µ1	PROPN
ejpam-6439	77	23	,	,	PUNCT
ejpam-6439	77	24	µ1	µ1	PROPN
ejpam-6439	77	25	±	±	NOUN
ejpam-6439	77	26	0.6σ	0.6σ	NUM
ejpam-6439	77	27	,	,	PUNCT
ejpam-6439	77	28	for	for	ADP
ejpam-6439	77	29	underlying	underlie	VERB
ejpam-6439	77	30	bivariate	bivariate	ADJ
ejpam-6439	77	31	normal	normal	ADJ
ejpam-6439	77	32	distribution	distribution	NOUN
ejpam-6439	77	33	with	with	ADP
ejpam-6439	77	34	the	the	DET
ejpam-6439	77	35	conditions	condition	NOUN
ejpam-6439	77	36	σ21	σ21	NOUN
ejpam-6439	77	37	=	=	NOUN
ejpam-6439	77	38	σ22	σ22	PROPN
ejpam-6439	77	39	=	=	PROPN
ejpam-6439	77	40	σ2	σ2	PROPN
ejpam-6439	77	41	,	,	PUNCT
ejpam-6439	77	42	µ2	µ2	PROPN
ejpam-6439	77	43	=	=	PUNCT
ejpam-6439	77	44	µ1	µ1	PROPN
ejpam-6439	77	45	+	+	NOUN
ejpam-6439	77	46	0.4	0.4	NUM
ejpam-6439	77	47	,	,	PUNCT
ejpam-6439	77	48	and	and	CCONJ
ejpam-6439	77	49	the	the	DET
ejpam-6439	77	50	correlations	correlation	NOUN
ejpam-6439	77	51	ρ	ρ	NOUN
ejpam-6439	77	52	=	=	SYM
ejpam-6439	77	53	0	0	NUM
ejpam-6439	77	54	(	(	PUNCT
ejpam-6439	77	55	table	table	NOUN
ejpam-6439	77	56	1a	1a	NOUN
ejpam-6439	77	57	)	)	PUNCT
ejpam-6439	77	58	and	and	CCONJ
ejpam-6439	77	59	ρ	ρ	NUM
ejpam-6439	77	60	=	=	SYM
ejpam-6439	77	61	0.3	0.3	NUM
ejpam-6439	77	62	(	(	PUNCT
ejpam-6439	77	63	table	table	NOUN
ejpam-6439	77	64	1b	1b	NUM
ejpam-6439	77	65	)	)	PUNCT
ejpam-6439	77	66	.	.	PUNCT
ejpam-6439	78	1	table	table	NOUN
ejpam-6439	78	2	1	1	NUM
ejpam-6439	78	3	:	:	PUNCT
ejpam-6439	78	4	the	the	DET
ejpam-6439	78	5	4×	4×	NOUN
ejpam-6439	78	6	4	4	NUM
ejpam-6439	78	7	tables	table	NOUN
ejpam-6439	78	8	of	of	ADP
ejpam-6439	78	9	sample	sample	NOUN
ejpam-6439	78	10	size	size	NOUN
ejpam-6439	78	11	10,000	10,000	NUM
ejpam-6439	78	12	,	,	PUNCT
ejpam-6439	78	13	formed	form	VERB
ejpam-6439	78	14	by	by	ADP
ejpam-6439	78	15	using	use	VERB
ejpam-6439	78	16	cut	cut	VERB
ejpam-6439	78	17	points	point	NOUN
ejpam-6439	78	18	for	for	ADP
ejpam-6439	78	19	each	each	DET
ejpam-6439	78	20	variable	variable	NOUN
ejpam-6439	78	21	at	at	ADP
ejpam-6439	78	22	µ1	µ1	PROPN
ejpam-6439	78	23	,	,	PUNCT
ejpam-6439	78	24	µ1	µ1	PROPN
ejpam-6439	78	25	±	±	NOUN
ejpam-6439	78	26	0.6σ	0.6σ	NUM
ejpam-6439	78	27	,	,	PUNCT
ejpam-6439	78	28	from	from	ADP
ejpam-6439	78	29	an	an	DET
ejpam-6439	78	30	underlying	underlie	VERB
ejpam-6439	78	31	bivariate	bivariate	ADJ
ejpam-6439	78	32	normal	normal	ADJ
ejpam-6439	78	33	distribution	distribution	NOUN
ejpam-6439	78	34	with	with	ADP
ejpam-6439	78	35	the	the	DET
ejpam-6439	78	36	conditions	condition	NOUN
ejpam-6439	78	37	µ2	µ2	PROPN
ejpam-6439	78	38	=	=	PUNCT
ejpam-6439	78	39	µ1	µ1	PROPN
ejpam-6439	78	40	+	+	PROPN
ejpam-6439	78	41	0.4	0.4	NUM
ejpam-6439	78	42	,	,	PUNCT
ejpam-6439	78	43	σ2	σ2	NOUN
ejpam-6439	78	44	1	1	NUM
ejpam-6439	78	45	=	=	SYM
ejpam-6439	78	46	σ2	σ2	PROPN
ejpam-6439	78	47	2	2	NUM
ejpam-6439	78	48	=	=	PROPN
ejpam-6439	78	49	σ2	σ2	PROPN
ejpam-6439	78	50	and	and	CCONJ
ejpam-6439	78	51	ρ	ρ	NUM
ejpam-6439	78	52	=	=	SYM
ejpam-6439	78	53	0	0	NUM
ejpam-6439	78	54	,	,	PUNCT
ejpam-6439	78	55	0.3	0.3	NUM
ejpam-6439	78	56	(	(	PUNCT
ejpam-6439	78	57	a	a	NOUN
ejpam-6439	78	58	)	)	PUNCT
ejpam-6439	78	59	for	for	ADP
ejpam-6439	78	60	ρ	ρ	PROPN
ejpam-6439	78	61	=	=	SYM
ejpam-6439	78	62	0	0	PUNCT
ejpam-6439	78	63	(	(	PUNCT
ejpam-6439	78	64	b	b	NOUN
ejpam-6439	78	65	)	)	PUNCT
ejpam-6439	78	66	for	for	ADP
ejpam-6439	78	67	ρ	ρ	PROPN
ejpam-6439	78	68	=	=	SYM
ejpam-6439	78	69	0.3	0.3	NUM
ejpam-6439	78	70	428	428	NUM
ejpam-6439	78	71	526	526	NUM
ejpam-6439	78	72	671	671	NUM
ejpam-6439	78	73	1174	1174	NUM
ejpam-6439	78	74	696	696	NUM
ejpam-6439	78	75	666	666	NUM
ejpam-6439	78	76	678	678	NUM
ejpam-6439	78	77	785	785	NUM
ejpam-6439	78	78	358	358	NUM
ejpam-6439	78	79	416	416	NUM
ejpam-6439	78	80	561	561	NUM
ejpam-6439	78	81	951	951	NUM
ejpam-6439	78	82	384	384	NUM
ejpam-6439	78	83	436	436	NUM
ejpam-6439	78	84	587	587	NUM
ejpam-6439	78	85	836	836	NUM
ejpam-6439	78	86	374	374	NUM
ejpam-6439	78	87	405	405	NUM
ejpam-6439	78	88	544	544	NUM
ejpam-6439	78	89	875	875	NUM
ejpam-6439	78	90	269	269	NUM
ejpam-6439	78	91	388	388	NUM
ejpam-6439	78	92	554	554	NUM
ejpam-6439	78	93	1008	1008	NUM
ejpam-6439	78	94	405	405	NUM
ejpam-6439	78	95	509	509	NUM
ejpam-6439	78	96	658	658	NUM
ejpam-6439	78	97	1145	1145	NUM
ejpam-6439	78	98	216	216	NUM
ejpam-6439	78	99	366	366	NUM
ejpam-6439	78	100	615	615	NUM
ejpam-6439	78	101	1516	1516	NUM
ejpam-6439	78	102	source	source	NOUN
ejpam-6439	78	103	:	:	PUNCT
ejpam-6439	78	104	tomizawa	tomizawa	PROPN
ejpam-6439	78	105	,	,	PUNCT
ejpam-6439	78	106	miyamoto	miyamoto	NOUN
ejpam-6439	78	107	and	and	CCONJ
ejpam-6439	78	108	ashihara	ashihara	NOUN
ejpam-6439	79	1	[	[	X
ejpam-6439	79	2	8	8	X
ejpam-6439	79	3	]	]	PUNCT
ejpam-6439	79	4	the	the	DET
ejpam-6439	79	5	aldps	aldps	PROPN
ejpam-6439	79	6	model	model	NOUN
ejpam-6439	79	7	fits	fit	VERB
ejpam-6439	79	8	these	these	DET
ejpam-6439	79	9	data	datum	NOUN
ejpam-6439	79	10	well	well	ADV
ejpam-6439	79	11	yielding	yield	VERB
ejpam-6439	79	12	the	the	DET
ejpam-6439	79	13	likelihood	likelihood	NOUN
ejpam-6439	79	14	ratio	ratio	NOUN
ejpam-6439	79	15	chi	chi	ADJ
ejpam-6439	79	16	-	-	PUNCT
ejpam-6439	79	17	squared	square	VERB
ejpam-6439	79	18	values	value	NOUN
ejpam-6439	79	19	g2	g2	PROPN
ejpam-6439	79	20	=	=	PUNCT
ejpam-6439	79	21	5.89	5.89	NUM
ejpam-6439	79	22	(	(	PUNCT
ejpam-6439	79	23	for	for	ADP
ejpam-6439	79	24	table	table	NOUN
ejpam-6439	79	25	1a	1a	NOUN
ejpam-6439	79	26	)	)	PUNCT
ejpam-6439	79	27	and	and	CCONJ
ejpam-6439	79	28	g2	g2	PROPN
ejpam-6439	79	29	=	=	PUNCT
ejpam-6439	79	30	4.35	4.35	NUM
ejpam-6439	79	31	(	(	PUNCT
ejpam-6439	79	32	for	for	ADP
ejpam-6439	79	33	table	table	NOUN
ejpam-6439	79	34	1b	1b	NUM
ejpam-6439	79	35	)	)	PUNCT
ejpam-6439	79	36	with	with	ADP
ejpam-6439	79	37	both	both	DET
ejpam-6439	79	38	5	5	NUM
ejpam-6439	79	39	degrees	degree	NOUN
ejpam-6439	79	40	of	of	ADP
ejpam-6439	79	41	freedom	freedom	NOUN
ejpam-6439	79	42	.	.	PUNCT
ejpam-6439	80	1	therefore	therefore	ADV
ejpam-6439	80	2	,	,	PUNCT
ejpam-6439	80	3	the	the	DET
ejpam-6439	80	4	aldps	aldps	ADJ
ejpam-6439	80	5	model	model	NOUN
ejpam-6439	80	6	may	may	AUX
ejpam-6439	80	7	be	be	AUX
ejpam-6439	80	8	appropriate	appropriate	ADJ
ejpam-6439	80	9	for	for	ADP
ejpam-6439	80	10	a	a	DET
ejpam-6439	80	11	square	square	ADJ
ejpam-6439	80	12	table	table	NOUN
ejpam-6439	80	13	if	if	SCONJ
ejpam-6439	80	14	it	it	PRON
ejpam-6439	80	15	is	be	AUX
ejpam-6439	80	16	reasonable	reasonable	ADJ
ejpam-6439	80	17	to	to	PART
ejpam-6439	80	18	assume	assume	VERB
ejpam-6439	80	19	an	an	DET
ejpam-6439	80	20	underlying	underlie	VERB
ejpam-6439	80	21	bivariate	bivariate	ADJ
ejpam-6439	80	22	normal	normal	ADJ
ejpam-6439	80	23	distribution	distribution	NOUN
ejpam-6439	80	24	with	with	ADP
ejpam-6439	80	25	equal	equal	ADJ
ejpam-6439	80	26	marginal	marginal	ADJ
ejpam-6439	80	27	variances	variance	NOUN
ejpam-6439	80	28	.	.	PUNCT
ejpam-6439	81	1	3	3	X
ejpam-6439	81	2	.	.	X
ejpam-6439	81	3	separation	separation	NOUN
ejpam-6439	81	4	of	of	ADP
ejpam-6439	81	5	the	the	DET
ejpam-6439	81	6	anti	anti	ADJ
ejpam-6439	81	7	-	-	ADJ
ejpam-6439	81	8	symmetry	symmetry	ADJ
ejpam-6439	81	9	model	model	NOUN
ejpam-6439	81	10	via	via	ADP
ejpam-6439	81	11	the	the	DET
ejpam-6439	81	12	anti	anti	ADJ
ejpam-6439	81	13	-	-	ADJ
ejpam-6439	81	14	linear	linear	ADJ
ejpam-6439	81	15	diagonals	diagonal	NOUN
ejpam-6439	81	16	-	-	PUNCT
ejpam-6439	81	17	parameter	parameter	NOUN
ejpam-6439	81	18	symmetry	symmetry	NOUN
ejpam-6439	81	19	model	model	NOUN
ejpam-6439	81	20	in	in	ADP
ejpam-6439	81	21	this	this	DET
ejpam-6439	81	22	section	section	NOUN
ejpam-6439	81	23	,	,	PUNCT
ejpam-6439	81	24	we	we	PRON
ejpam-6439	81	25	present	present	VERB
ejpam-6439	81	26	a	a	DET
ejpam-6439	81	27	decomposition	decomposition	NOUN
ejpam-6439	81	28	of	of	ADP
ejpam-6439	81	29	the	the	PRON
ejpam-6439	81	30	as	as	ADP
ejpam-6439	81	31	model	model	NOUN
ejpam-6439	81	32	using	use	VERB
ejpam-6439	81	33	the	the	DET
ejpam-6439	81	34	aldps	aldps	ADJ
ejpam-6439	81	35	model	model	NOUN
ejpam-6439	81	36	.	.	PUNCT
ejpam-6439	82	1	the	the	DET
ejpam-6439	82	2	objective	objective	NOUN
ejpam-6439	82	3	is	be	AUX
ejpam-6439	82	4	to	to	PART
ejpam-6439	82	5	identify	identify	VERB
ejpam-6439	82	6	a	a	DET
ejpam-6439	82	7	counterpart	counterpart	NOUN
ejpam-6439	82	8	to	to	ADP
ejpam-6439	82	9	the	the	DET
ejpam-6439	82	10	aldps	aldps	ADJ
ejpam-6439	82	11	model	model	NOUN
ejpam-6439	82	12	that	that	PRON
ejpam-6439	82	13	enables	enable	VERB
ejpam-6439	82	14	the	the	DET
ejpam-6439	82	15	decomposition	decomposition	NOUN
ejpam-6439	82	16	of	of	ADP
ejpam-6439	82	17	the	the	DET
ejpam-6439	82	18	as	as	ADP
ejpam-6439	82	19	model	model	NOUN
ejpam-6439	82	20	.	.	PUNCT
ejpam-6439	83	1	as	as	ADP
ejpam-6439	83	2	such	such	DET
ejpam-6439	83	3	a	a	DET
ejpam-6439	83	4	counterpart	counterpart	NOUN
ejpam-6439	83	5	,	,	PUNCT
ejpam-6439	83	6	we	we	PRON
ejpam-6439	83	7	introduce	introduce	VERB
ejpam-6439	83	8	the	the	DET
ejpam-6439	83	9	anti	anti	ADJ
ejpam-6439	83	10	-	-	ADJ
ejpam-6439	83	11	marginal	marginal	ADJ
ejpam-6439	83	12	equity	equity	NOUN
ejpam-6439	83	13	(	(	PUNCT
ejpam-6439	83	14	ame	ame	PROPN
ejpam-6439	83	15	)	)	PUNCT
ejpam-6439	83	16	model	model	NOUN
ejpam-6439	84	1	[	[	X
ejpam-6439	84	2	9	9	NUM
ejpam-6439	84	3	]	]	PUNCT
ejpam-6439	84	4	,	,	PUNCT
ejpam-6439	84	5	which	which	PRON
ejpam-6439	84	6	is	be	AUX
ejpam-6439	84	7	defined	define	VERB
ejpam-6439	84	8	by	by	ADP
ejpam-6439	84	9	the	the	DET
ejpam-6439	84	10	following	follow	VERB
ejpam-6439	84	11	equation	equation	NOUN
ejpam-6439	84	12	:	:	PUNCT
ejpam-6439	84	13	e(x	e(x	NUM
ejpam-6439	84	14	)	)	PUNCT
ejpam-6439	84	15	=	=	PUNCT
ejpam-6439	85	1	e(r+	e(r+	NOUN
ejpam-6439	85	2	1−	1−	NUM
ejpam-6439	85	3	y	y	PROPN
ejpam-6439	85	4	)	)	PUNCT
ejpam-6439	85	5	,	,	PUNCT
ejpam-6439	85	6	where	where	SCONJ
ejpam-6439	85	7	e(x	e(x	NUM
ejpam-6439	85	8	)	)	PUNCT
ejpam-6439	86	1	=	=	PUNCT
ejpam-6439	86	2	∑	∑	PUNCT
ejpam-6439	86	3	(	(	PUNCT
ejpam-6439	86	4	i	i	PROPN
ejpam-6439	86	5	,	,	PUNCT
ejpam-6439	86	6	j)∈a	j)∈a	PROPN
ejpam-6439	86	7	iπij	iπij	PROPN
ejpam-6439	86	8	and	and	CCONJ
ejpam-6439	86	9	e(r+	e(r+	NUM
ejpam-6439	86	10	1−	1−	NUM
ejpam-6439	86	11	y	y	NOUN
ejpam-6439	86	12	)	)	PUNCT
ejpam-6439	86	13	=	=	PUNCT
ejpam-6439	87	1	∑	∑	PUNCT
ejpam-6439	87	2	(	(	PUNCT
ejpam-6439	87	3	i	i	PROPN
ejpam-6439	87	4	,	,	PUNCT
ejpam-6439	87	5	j)∈a	j)∈a	X
ejpam-6439	87	6	(	(	PUNCT
ejpam-6439	87	7	r+	r+	X
ejpam-6439	87	8	1−	1−	NUM
ejpam-6439	87	9	j)πij	j)πij	NOUN
ejpam-6439	87	10	=	=	PUNCT
ejpam-6439	87	11	∑	∑	PUNCT
ejpam-6439	87	12	(	(	PUNCT
ejpam-6439	87	13	i	i	PROPN
ejpam-6439	87	14	,	,	PUNCT
ejpam-6439	87	15	j)∈a	j)∈a	PROPN
ejpam-6439	88	1	j∗πij	j∗πij	PROPN
ejpam-6439	88	2	.	.	PUNCT
ejpam-6439	89	1	the	the	DET
ejpam-6439	89	2	decomposition	decomposition	NOUN
ejpam-6439	89	3	of	of	ADP
ejpam-6439	89	4	the	the	PRON
ejpam-6439	89	5	as	as	ADP
ejpam-6439	89	6	model	model	NOUN
ejpam-6439	89	7	is	be	AUX
ejpam-6439	89	8	derived	derive	VERB
ejpam-6439	89	9	using	use	VERB
ejpam-6439	89	10	the	the	DET
ejpam-6439	89	11	aldps	aldps	NOUN
ejpam-6439	89	12	and	and	CCONJ
ejpam-6439	89	13	ame	ame	PROPN
ejpam-6439	89	14	models	model	NOUN
ejpam-6439	89	15	,	,	PUNCT
ejpam-6439	89	16	as	as	SCONJ
ejpam-6439	89	17	stated	state	VERB
ejpam-6439	89	18	in	in	ADP
ejpam-6439	89	19	the	the	DET
ejpam-6439	89	20	following	following	NOUN
ejpam-6439	89	21	theorem	theorem	PROPN
ejpam-6439	89	22	.	.	PUNCT
ejpam-6439	90	1	s.	s.	PROPN
ejpam-6439	90	2	ando	ando	PROPN
ejpam-6439	90	3	/	/	SYM
ejpam-6439	90	4	eur	eur	PROPN
ejpam-6439	90	5	.	.	PUNCT
ejpam-6439	91	1	j.	j.	PROPN
ejpam-6439	91	2	pure	pure	PROPN
ejpam-6439	91	3	appl	appl	PROPN
ejpam-6439	91	4	.	.	PROPN
ejpam-6439	91	5	math	math	PROPN
ejpam-6439	91	6	,	,	PUNCT
ejpam-6439	91	7	18	18	NUM
ejpam-6439	91	8	(	(	PUNCT
ejpam-6439	91	9	4	4	NUM
ejpam-6439	91	10	)	)	PUNCT
ejpam-6439	91	11	(	(	PUNCT
ejpam-6439	91	12	2025	2025	NUM
ejpam-6439	91	13	)	)	PUNCT
ejpam-6439	91	14	,	,	PUNCT
ejpam-6439	91	15	6439	6439	NUM
ejpam-6439	91	16	5	5	NUM
ejpam-6439	91	17	of	of	ADP
ejpam-6439	91	18	13	13	NUM
ejpam-6439	91	19	theorem	theorem	NOUN
ejpam-6439	91	20	1	1	NUM
ejpam-6439	91	21	.	.	PUNCT
ejpam-6439	92	1	the	the	DET
ejpam-6439	92	2	as	as	SCONJ
ejpam-6439	92	3	model	model	NOUN
ejpam-6439	92	4	holds	hold	VERB
ejpam-6439	92	5	if	if	SCONJ
ejpam-6439	92	6	and	and	CCONJ
ejpam-6439	92	7	only	only	ADV
ejpam-6439	92	8	if	if	SCONJ
ejpam-6439	92	9	both	both	PRON
ejpam-6439	92	10	the	the	DET
ejpam-6439	92	11	aldps	aldps	NOUN
ejpam-6439	92	12	and	and	CCONJ
ejpam-6439	92	13	ame	ame	PROPN
ejpam-6439	92	14	models	model	NOUN
ejpam-6439	92	15	hold	hold	VERB
ejpam-6439	92	16	simultaneously	simultaneously	ADV
ejpam-6439	92	17	.	.	PUNCT
ejpam-6439	93	1	proof	proof	NOUN
ejpam-6439	93	2	.	.	PUNCT
ejpam-6439	94	1	we	we	PRON
ejpam-6439	94	2	first	first	ADV
ejpam-6439	94	3	show	show	VERB
ejpam-6439	94	4	the	the	DET
ejpam-6439	94	5	necessity	necessity	NOUN
ejpam-6439	94	6	.	.	PUNCT
ejpam-6439	95	1	assume	assume	VERB
ejpam-6439	95	2	that	that	SCONJ
ejpam-6439	95	3	the	the	DET
ejpam-6439	95	4	as	as	ADP
ejpam-6439	95	5	model	model	NOUN
ejpam-6439	95	6	holds	hold	NOUN
ejpam-6439	95	7	,	,	PUNCT
ejpam-6439	95	8	i.e.	i.e.	X
ejpam-6439	95	9	,	,	PUNCT
ejpam-6439	95	10	πij	πij	NOUN
ejpam-6439	95	11	=	=	X
ejpam-6439	95	12	πj∗i∗	πj∗i∗	PROPN
ejpam-6439	95	13	for	for	ADP
ejpam-6439	95	14	(	(	PUNCT
ejpam-6439	95	15	i	i	PROPN
ejpam-6439	95	16	,	,	PUNCT
ejpam-6439	95	17	j	j	PROPN
ejpam-6439	95	18	)	)	PUNCT
ejpam-6439	95	19	∈	∈	PROPN
ejpam-6439	95	20	e.	e.	PROPN
ejpam-6439	95	21	then	then	ADV
ejpam-6439	95	22	,	,	PUNCT
ejpam-6439	95	23	the	the	DET
ejpam-6439	95	24	aldps	aldps	ADJ
ejpam-6439	95	25	model	model	NOUN
ejpam-6439	95	26	clearly	clearly	ADV
ejpam-6439	95	27	holds	hold	VERB
ejpam-6439	95	28	.	.	PUNCT
ejpam-6439	96	1	consider	consider	VERB
ejpam-6439	96	2	the	the	DET
ejpam-6439	96	3	following	follow	VERB
ejpam-6439	96	4	equation	equation	NOUN
ejpam-6439	96	5	:	:	PUNCT
ejpam-6439	96	6	e(x	e(x	NUM
ejpam-6439	96	7	−	−	NUM
ejpam-6439	96	8	(	(	PUNCT
ejpam-6439	96	9	r+	r+	X
ejpam-6439	96	10	1−	1−	NUM
ejpam-6439	96	11	y	y	NOUN
ejpam-6439	96	12	)	)	PUNCT
ejpam-6439	96	13	)	)	PUNCT
ejpam-6439	97	1	=	=	PUNCT
ejpam-6439	97	2	∑	∑	PUNCT
ejpam-6439	97	3	i+j	i+j	NUM
ejpam-6439	97	4	<	<	X
ejpam-6439	97	5	r+1	r+1	PROPN
ejpam-6439	97	6	(	(	PUNCT
ejpam-6439	97	7	i−	i−	PROPN
ejpam-6439	97	8	j∗)πij	j∗)πij	PROPN
ejpam-6439	97	9	+	+	CCONJ
ejpam-6439	97	10	∑	∑	PUNCT
ejpam-6439	97	11	i+j	i+j	NUM
ejpam-6439	97	12	=	=	PROPN
ejpam-6439	97	13	r+1	r+1	PROPN
ejpam-6439	97	14	(	(	PUNCT
ejpam-6439	97	15	i−	i−	PROPN
ejpam-6439	97	16	j∗)πij	j∗)πij	PROPN
ejpam-6439	97	17	+	+	CCONJ
ejpam-6439	97	18	∑	∑	PROPN
ejpam-6439	97	19	i+j	i+j	NUM
ejpam-6439	97	20	>	>	X
ejpam-6439	97	21	r+1	r+1	PROPN
ejpam-6439	97	22	(	(	PUNCT
ejpam-6439	97	23	i−	i−	PROPN
ejpam-6439	97	24	j∗)πij	j∗)πij	PROPN
ejpam-6439	97	25	.	.	PUNCT
ejpam-6439	98	1	(	(	PUNCT
ejpam-6439	98	2	1	1	X
ejpam-6439	98	3	)	)	PUNCT
ejpam-6439	98	4	in	in	ADP
ejpam-6439	98	5	equation	equation	NOUN
ejpam-6439	98	6	(	(	PUNCT
ejpam-6439	98	7	1	1	NUM
ejpam-6439	98	8	)	)	PUNCT
ejpam-6439	98	9	,	,	PUNCT
ejpam-6439	98	10	the	the	DET
ejpam-6439	98	11	second	second	ADJ
ejpam-6439	98	12	term	term	NOUN
ejpam-6439	98	13	on	on	ADP
ejpam-6439	98	14	the	the	DET
ejpam-6439	98	15	right	right	ADJ
ejpam-6439	98	16	-	-	PUNCT
ejpam-6439	98	17	hand	hand	NOUN
ejpam-6439	98	18	side	side	NOUN
ejpam-6439	98	19	equals	equal	VERB
ejpam-6439	98	20	zero	zero	NUM
ejpam-6439	98	21	since	since	SCONJ
ejpam-6439	98	22	i−	i−	PROPN
ejpam-6439	98	23	j∗	j∗	NOUN
ejpam-6439	98	24	=	=	NOUN
ejpam-6439	98	25	0	0	PUNCT
ejpam-6439	98	26	when	when	SCONJ
ejpam-6439	98	27	i+	i+	X
ejpam-6439	98	28	j	j	PROPN
ejpam-6439	98	29	=	=	PRON
ejpam-6439	98	30	r+	r+	VERB
ejpam-6439	99	1	1	1	NUM
ejpam-6439	99	2	.	.	PUNCT
ejpam-6439	100	1	therefore	therefore	ADV
ejpam-6439	100	2	,	,	PUNCT
ejpam-6439	100	3	under	under	ADP
ejpam-6439	100	4	the	the	DET
ejpam-6439	100	5	as	as	ADP
ejpam-6439	100	6	model	model	NOUN
ejpam-6439	100	7	,	,	PUNCT
ejpam-6439	100	8	equation	equation	NOUN
ejpam-6439	100	9	(	(	PUNCT
ejpam-6439	100	10	1	1	X
ejpam-6439	100	11	)	)	PUNCT
ejpam-6439	100	12	becomes	become	VERB
ejpam-6439	100	13	:	:	PUNCT
ejpam-6439	100	14	e(x	e(x	NUM
ejpam-6439	100	15	−	−	NUM
ejpam-6439	100	16	(	(	PUNCT
ejpam-6439	100	17	r+	r+	X
ejpam-6439	100	18	1−	1−	NUM
ejpam-6439	100	19	y	y	NOUN
ejpam-6439	100	20	)	)	PUNCT
ejpam-6439	100	21	)	)	PUNCT
ejpam-6439	101	1	=	=	PUNCT
ejpam-6439	101	2	∑	∑	PUNCT
ejpam-6439	101	3	i+j	i+j	NUM
ejpam-6439	101	4	<	<	X
ejpam-6439	101	5	r+1	r+1	PROPN
ejpam-6439	101	6	(	(	PUNCT
ejpam-6439	101	7	i−	i−	PROPN
ejpam-6439	101	8	j∗)πij	j∗)πij	PROPN
ejpam-6439	101	9	+	+	CCONJ
ejpam-6439	101	10	∑	∑	PROPN
ejpam-6439	101	11	i+j	i+j	NUM
ejpam-6439	101	12	>	>	X
ejpam-6439	101	13	r+1	r+1	PROPN
ejpam-6439	101	14	(	(	PUNCT
ejpam-6439	101	15	i−	i−	PROPN
ejpam-6439	101	16	j∗)πij	j∗)πij	PROPN
ejpam-6439	101	17	=	=	PUNCT
ejpam-6439	101	18	−	−	PROPN
ejpam-6439	101	19	∑	∑	PUNCT
ejpam-6439	101	20	i+j	i+j	NUM
ejpam-6439	101	21	<	<	X
ejpam-6439	101	22	r+1	r+1	PROPN
ejpam-6439	101	23	(	(	PUNCT
ejpam-6439	101	24	j∗	j∗	PROPN
ejpam-6439	101	25	−	−	PROPN
ejpam-6439	101	26	i)πij	i)πij	PROPN
ejpam-6439	101	27	+	+	CCONJ
ejpam-6439	101	28	∑	∑	PROPN
ejpam-6439	101	29	i+j	i+j	NUM
ejpam-6439	101	30	>	>	X
ejpam-6439	101	31	r+1	r+1	PROPN
ejpam-6439	101	32	(	(	PUNCT
ejpam-6439	101	33	i−	i−	PROPN
ejpam-6439	101	34	j∗)πij	j∗)πij	PROPN
ejpam-6439	101	35	=	=	PUNCT
ejpam-6439	101	36	−	−	PROPN
ejpam-6439	101	37	∑	∑	PUNCT
ejpam-6439	101	38	i+j	i+j	X
ejpam-6439	101	39	>	>	X
ejpam-6439	101	40	r+1	r+1	PROPN
ejpam-6439	101	41	(	(	PUNCT
ejpam-6439	101	42	i−	i−	PROPN
ejpam-6439	101	43	j∗)πj∗i∗	j∗)πj∗i∗	PROPN
ejpam-6439	101	44	+	+	CCONJ
ejpam-6439	101	45	∑	∑	PUNCT
ejpam-6439	101	46	i+j	i+j	NUM
ejpam-6439	101	47	>	>	X
ejpam-6439	101	48	r+1	r+1	PROPN
ejpam-6439	101	49	(	(	PUNCT
ejpam-6439	101	50	i−	i−	PROPN
ejpam-6439	101	51	j∗)πij	j∗)πij	PROPN
ejpam-6439	101	52	=	=	PUNCT
ejpam-6439	101	53	−	−	PROPN
ejpam-6439	101	54	∑	∑	PUNCT
ejpam-6439	101	55	i+j	i+j	X
ejpam-6439	101	56	>	>	X
ejpam-6439	101	57	r+1	r+1	PROPN
ejpam-6439	101	58	(	(	PUNCT
ejpam-6439	101	59	i−	i−	PROPN
ejpam-6439	101	60	j∗)πij	j∗)πij	PROPN
ejpam-6439	101	61	+	+	CCONJ
ejpam-6439	101	62	∑	∑	PROPN
ejpam-6439	101	63	i+j	i+j	NUM
ejpam-6439	101	64	>	>	X
ejpam-6439	101	65	r+1	r+1	PROPN
ejpam-6439	101	66	(	(	PUNCT
ejpam-6439	101	67	i−	i−	PROPN
ejpam-6439	101	68	j∗)πij	j∗)πij	PROPN
ejpam-6439	101	69	=	=	PROPN
ejpam-6439	101	70	0	0	PROPN
ejpam-6439	101	71	.	.	PUNCT
ejpam-6439	102	1	hence	hence	ADV
ejpam-6439	102	2	,	,	PUNCT
ejpam-6439	102	3	we	we	PRON
ejpam-6439	102	4	obtain	obtain	VERB
ejpam-6439	102	5	e(x	e(x	NUM
ejpam-6439	102	6	)	)	PUNCT
ejpam-6439	102	7	=	=	SYM
ejpam-6439	103	1	e(r	e(r	NOUN
ejpam-6439	103	2	+	+	NUM
ejpam-6439	103	3	1	1	NUM
ejpam-6439	103	4	−	−	PROPN
ejpam-6439	103	5	y	y	PROPN
ejpam-6439	103	6	)	)	PUNCT
ejpam-6439	103	7	,	,	PUNCT
ejpam-6439	103	8	which	which	PRON
ejpam-6439	103	9	implies	imply	VERB
ejpam-6439	103	10	that	that	SCONJ
ejpam-6439	103	11	the	the	DET
ejpam-6439	103	12	ame	ame	PROPN
ejpam-6439	103	13	model	model	NOUN
ejpam-6439	103	14	holds	hold	VERB
ejpam-6439	103	15	.	.	PUNCT
ejpam-6439	104	1	therefore	therefore	ADV
ejpam-6439	104	2	,	,	PUNCT
ejpam-6439	104	3	the	the	DET
ejpam-6439	104	4	necessary	necessary	ADJ
ejpam-6439	104	5	condition	condition	NOUN
ejpam-6439	104	6	is	be	AUX
ejpam-6439	104	7	satisfied	satisfied	ADJ
ejpam-6439	104	8	.	.	PUNCT
ejpam-6439	105	1	we	we	PRON
ejpam-6439	105	2	now	now	ADV
ejpam-6439	105	3	show	show	VERB
ejpam-6439	105	4	the	the	DET
ejpam-6439	105	5	sufficiency	sufficiency	NOUN
ejpam-6439	105	6	.	.	PUNCT
ejpam-6439	106	1	assume	assume	VERB
ejpam-6439	106	2	that	that	SCONJ
ejpam-6439	106	3	both	both	CCONJ
ejpam-6439	106	4	the	the	DET
ejpam-6439	106	5	aldps	aldps	PROPN
ejpam-6439	106	6	and	and	CCONJ
ejpam-6439	106	7	ame	ame	PROPN
ejpam-6439	106	8	models	model	NOUN
ejpam-6439	106	9	hold	hold	VERB
ejpam-6439	106	10	.	.	PUNCT
ejpam-6439	107	1	then	then	ADV
ejpam-6439	107	2	we	we	PRON
ejpam-6439	107	3	have	have	VERB
ejpam-6439	107	4	:	:	PUNCT
ejpam-6439	107	5	e(x	e(x	NUM
ejpam-6439	107	6	−	−	PROPN
ejpam-6439	107	7	(	(	PUNCT
ejpam-6439	107	8	r+	r+	X
ejpam-6439	107	9	1−	1−	NUM
ejpam-6439	107	10	y	y	NOUN
ejpam-6439	107	11	)	)	PUNCT
ejpam-6439	107	12	)	)	PUNCT
ejpam-6439	108	1	=	=	SYM
ejpam-6439	108	2	−	−	PROPN
ejpam-6439	108	3	∑	∑	PUNCT
ejpam-6439	108	4	i+j	i+j	X
ejpam-6439	108	5	>	>	X
ejpam-6439	108	6	r+1	r+1	PROPN
ejpam-6439	108	7	(	(	PUNCT
ejpam-6439	108	8	i−	i−	PROPN
ejpam-6439	108	9	j∗)πijδ	j∗)πijδ	PROPN
ejpam-6439	108	10	r+1−(i+j	r+1−(i+j	PROPN
ejpam-6439	108	11	)	)	PUNCT
ejpam-6439	108	12	+	+	CCONJ
ejpam-6439	108	13	∑	∑	PUNCT
ejpam-6439	108	14	i+j	i+j	NUM
ejpam-6439	108	15	>	>	X
ejpam-6439	108	16	r+1	r+1	PROPN
ejpam-6439	108	17	(	(	PUNCT
ejpam-6439	108	18	i−	i−	PROPN
ejpam-6439	108	19	j∗)πij	j∗)πij	PROPN
ejpam-6439	108	20	=	=	PRON
ejpam-6439	108	21	∑	∑	PUNCT
ejpam-6439	108	22	i+j	i+j	NUM
ejpam-6439	108	23	>	>	PROPN
ejpam-6439	108	24	r+1	r+1	PROPN
ejpam-6439	108	25	(	(	PUNCT
ejpam-6439	108	26	i−	i−	PROPN
ejpam-6439	108	27	j∗)πij(1−	j∗)πij(1−	PROPN
ejpam-6439	108	28	δr+1−(i+j	δr+1−(i+j	PROPN
ejpam-6439	108	29	)	)	PUNCT
ejpam-6439	108	30	)	)	PUNCT
ejpam-6439	109	1	=	=	PUNCT
ejpam-6439	109	2	0	0	X
ejpam-6439	109	3	.	.	PUNCT
ejpam-6439	110	1	since	since	SCONJ
ejpam-6439	110	2	πij	πij	PROPN
ejpam-6439	110	3	>	>	X
ejpam-6439	110	4	0	0	PUNCT
ejpam-6439	111	1	for	for	ADP
ejpam-6439	111	2	(	(	PUNCT
ejpam-6439	111	3	i	i	PROPN
ejpam-6439	111	4	,	,	PUNCT
ejpam-6439	111	5	j	j	PROPN
ejpam-6439	111	6	)	)	PUNCT
ejpam-6439	111	7	∈	∈	PROPN
ejpam-6439	111	8	a	a	PRON
ejpam-6439	111	9	,	,	PUNCT
ejpam-6439	111	10	it	it	PRON
ejpam-6439	111	11	follows	follow	VERB
ejpam-6439	111	12	that	that	SCONJ
ejpam-6439	111	13	δ	δ	PROPN
ejpam-6439	111	14	=	=	SYM
ejpam-6439	111	15	1	1	X
ejpam-6439	111	16	.	.	PUNCT
ejpam-6439	112	1	therefore	therefore	ADV
ejpam-6439	112	2	,	,	PUNCT
ejpam-6439	112	3	the	the	DET
ejpam-6439	112	4	aldps	aldps	ADJ
ejpam-6439	112	5	model	model	NOUN
ejpam-6439	112	6	reduces	reduce	VERB
ejpam-6439	112	7	to	to	ADP
ejpam-6439	112	8	the	the	PRON
ejpam-6439	112	9	as	as	ADP
ejpam-6439	112	10	model	model	NOUN
ejpam-6439	112	11	,	,	PUNCT
ejpam-6439	112	12	and	and	CCONJ
ejpam-6439	112	13	the	the	DET
ejpam-6439	112	14	sufficiency	sufficiency	NOUN
ejpam-6439	112	15	is	be	AUX
ejpam-6439	112	16	established	establish	VERB
ejpam-6439	112	17	.	.	PUNCT
ejpam-6439	113	1	when	when	SCONJ
ejpam-6439	113	2	the	the	DET
ejpam-6439	113	3	as	as	ADP
ejpam-6439	113	4	model	model	NOUN
ejpam-6439	113	5	does	do	AUX
ejpam-6439	113	6	not	not	PART
ejpam-6439	113	7	fit	fit	VERB
ejpam-6439	113	8	the	the	DET
ejpam-6439	113	9	observed	observe	VERB
ejpam-6439	113	10	data	datum	NOUN
ejpam-6439	113	11	well	well	ADV
ejpam-6439	113	12	,	,	PUNCT
ejpam-6439	113	13	theorem	theorem	ADJ
ejpam-6439	113	14	1	1	NUM
ejpam-6439	113	15	provides	provide	VERB
ejpam-6439	113	16	insight	insight	NOUN
ejpam-6439	113	17	into	into	ADP
ejpam-6439	113	18	the	the	DET
ejpam-6439	113	19	possible	possible	ADJ
ejpam-6439	113	20	reasons	reason	NOUN
ejpam-6439	113	21	for	for	ADP
ejpam-6439	113	22	the	the	DET
ejpam-6439	113	23	poor	poor	ADJ
ejpam-6439	113	24	fit	fit	NOUN
ejpam-6439	113	25	.	.	PUNCT
ejpam-6439	114	1	4	4	X
ejpam-6439	114	2	.	.	X
ejpam-6439	114	3	separation	separation	NOUN
ejpam-6439	114	4	of	of	ADP
ejpam-6439	114	5	test	test	NOUN
ejpam-6439	114	6	statistic	statistic	NOUN
ejpam-6439	114	7	for	for	ADP
ejpam-6439	114	8	the	the	DET
ejpam-6439	114	9	anti	anti	ADJ
ejpam-6439	114	10	-	-	ADJ
ejpam-6439	114	11	symmetry	symmetry	ADJ
ejpam-6439	114	12	model	model	NOUN
ejpam-6439	114	13	let	let	VERB
ejpam-6439	114	14	n	n	PRON
ejpam-6439	114	15	denote	denote	VERB
ejpam-6439	114	16	the	the	DET
ejpam-6439	114	17	sample	sample	NOUN
ejpam-6439	114	18	size	size	NOUN
ejpam-6439	114	19	,	,	PUNCT
ejpam-6439	114	20	i.e.	i.e.	X
ejpam-6439	114	21	,	,	PUNCT
ejpam-6439	114	22	n	n	PROPN
ejpam-6439	114	23	=	=	SYM
ejpam-6439	114	24	∑∑	∑∑	PROPN
ejpam-6439	114	25	(	(	PUNCT
ejpam-6439	114	26	i	i	PROPN
ejpam-6439	114	27	,	,	PUNCT
ejpam-6439	114	28	j)∈a	j)∈a	PROPN
ejpam-6439	114	29	nij	nij	PROPN
ejpam-6439	114	30	,	,	PUNCT
ejpam-6439	114	31	where	where	SCONJ
ejpam-6439	114	32	nij	nij	PROPN
ejpam-6439	114	33	for	for	ADP
ejpam-6439	114	34	(	(	PUNCT
ejpam-6439	114	35	i	i	PROPN
ejpam-6439	114	36	,	,	PUNCT
ejpam-6439	114	37	j	j	PROPN
ejpam-6439	114	38	)	)	PUNCT
ejpam-6439	114	39	∈	∈	PROPN
ejpam-6439	114	40	a	a	PRON
ejpam-6439	114	41	is	be	AUX
ejpam-6439	114	42	the	the	DET
ejpam-6439	114	43	observed	observe	VERB
ejpam-6439	114	44	frequency	frequency	NOUN
ejpam-6439	114	45	in	in	ADP
ejpam-6439	114	46	the	the	DET
ejpam-6439	114	47	(	(	PUNCT
ejpam-6439	114	48	i	i	NOUN
ejpam-6439	114	49	,	,	PUNCT
ejpam-6439	114	50	j)th	j)th	ADJ
ejpam-6439	114	51	cell	cell	NOUN
ejpam-6439	114	52	of	of	ADP
ejpam-6439	114	53	the	the	DET
ejpam-6439	114	54	table	table	NOUN
ejpam-6439	114	55	.	.	PUNCT
ejpam-6439	115	1	we	we	PRON
ejpam-6439	115	2	assume	assume	VERB
ejpam-6439	115	3	that	that	SCONJ
ejpam-6439	115	4	the	the	DET
ejpam-6439	115	5	observed	observed	ADJ
ejpam-6439	115	6	s.	s.	PROPN
ejpam-6439	115	7	ando	ando	PROPN
ejpam-6439	115	8	/	/	SYM
ejpam-6439	115	9	eur	eur	PROPN
ejpam-6439	115	10	.	.	PUNCT
ejpam-6439	116	1	j.	j.	PROPN
ejpam-6439	116	2	pure	pure	PROPN
ejpam-6439	116	3	appl	appl	PROPN
ejpam-6439	116	4	.	.	PROPN
ejpam-6439	116	5	math	math	PROPN
ejpam-6439	116	6	,	,	PUNCT
ejpam-6439	116	7	18	18	NUM
ejpam-6439	116	8	(	(	PUNCT
ejpam-6439	116	9	4	4	NUM
ejpam-6439	116	10	)	)	PUNCT
ejpam-6439	116	11	(	(	PUNCT
ejpam-6439	116	12	2025	2025	NUM
ejpam-6439	116	13	)	)	PUNCT
ejpam-6439	116	14	,	,	PUNCT
ejpam-6439	116	15	6439	6439	NUM
ejpam-6439	116	16	6	6	NUM
ejpam-6439	116	17	of	of	ADP
ejpam-6439	116	18	13	13	NUM
ejpam-6439	116	19	frequencies	frequency	NOUN
ejpam-6439	116	20	nij	nij	VERB
ejpam-6439	116	21	for	for	ADP
ejpam-6439	116	22	(	(	PUNCT
ejpam-6439	116	23	i	i	PROPN
ejpam-6439	116	24	,	,	PUNCT
ejpam-6439	116	25	j	j	PROPN
ejpam-6439	116	26	)	)	PUNCT
ejpam-6439	116	27	∈	∈	PROPN
ejpam-6439	116	28	a	a	DET
ejpam-6439	116	29	follow	follow	NOUN
ejpam-6439	116	30	a	a	DET
ejpam-6439	116	31	multinomial	multinomial	ADJ
ejpam-6439	116	32	distribution	distribution	NOUN
ejpam-6439	116	33	with	with	ADP
ejpam-6439	116	34	probability	probability	NOUN
ejpam-6439	116	35	vector	vector	NOUN
ejpam-6439	116	36	π	π	PROPN
ejpam-6439	116	37	,	,	PUNCT
ejpam-6439	116	38	where	where	SCONJ
ejpam-6439	116	39	π	π	PROPN
ejpam-6439	116	40	=	=	PRON
ejpam-6439	116	41	(	(	PUNCT
ejpam-6439	116	42	π11	π11	NOUN
ejpam-6439	116	43	,	,	PUNCT
ejpam-6439	116	44	π12	π12	NOUN
ejpam-6439	116	45	,	,	PUNCT
ejpam-6439	116	46	.	.	PUNCT
ejpam-6439	116	47	.	.	PUNCT
ejpam-6439	117	1	.	.	PUNCT
ejpam-6439	118	1	,	,	PUNCT
ejpam-6439	118	2	π1r	π1r	NOUN
ejpam-6439	118	3	,	,	PUNCT
ejpam-6439	118	4	π21	π21	NOUN
ejpam-6439	118	5	,	,	PUNCT
ejpam-6439	118	6	π22	π22	NOUN
ejpam-6439	118	7	,	,	PUNCT
ejpam-6439	118	8	.	.	PUNCT
ejpam-6439	118	9	.	.	PUNCT
ejpam-6439	119	1	.	.	PUNCT
ejpam-6439	120	1	,	,	PUNCT
ejpam-6439	120	2	π2r	π2r	PROPN
ejpam-6439	120	3	,	,	PUNCT
ejpam-6439	120	4	.	.	PUNCT
ejpam-6439	120	5	.	.	PUNCT
ejpam-6439	121	1	.	.	PUNCT
ejpam-6439	122	1	,	,	PUNCT
ejpam-6439	122	2	πr1	πr1	NOUN
ejpam-6439	122	3	,	,	PUNCT
ejpam-6439	122	4	πr2	πr2	NOUN
ejpam-6439	122	5	,	,	PUNCT
ejpam-6439	122	6	.	.	PUNCT
ejpam-6439	122	7	.	.	PUNCT
ejpam-6439	123	1	.	.	PUNCT
ejpam-6439	124	1	,	,	PUNCT
ejpam-6439	124	2	πrr	πrr	PROPN
ejpam-6439	124	3	)	)	PUNCT
ejpam-6439	124	4	⊤.	⊤.	NOUN
ejpam-6439	124	5	the	the	DET
ejpam-6439	124	6	symbol	symbol	NOUN
ejpam-6439	124	7	“	"	PUNCT
ejpam-6439	124	8	⊤	⊤	NOUN
ejpam-6439	124	9	”	"	PUNCT
ejpam-6439	124	10	denotes	denote	NOUN
ejpam-6439	124	11	the	the	DET
ejpam-6439	124	12	transpose	transpose	NOUN
ejpam-6439	124	13	of	of	ADP
ejpam-6439	124	14	a	a	DET
ejpam-6439	124	15	vector	vector	NOUN
ejpam-6439	124	16	or	or	CCONJ
ejpam-6439	124	17	matrix	matrix	NOUN
ejpam-6439	124	18	.	.	PUNCT
ejpam-6439	125	1	let	let	VERB
ejpam-6439	125	2	êij	êij	NOUN
ejpam-6439	125	3	for	for	ADP
ejpam-6439	125	4	(	(	PUNCT
ejpam-6439	125	5	i	i	PROPN
ejpam-6439	125	6	,	,	PUNCT
ejpam-6439	125	7	j	j	PROPN
ejpam-6439	125	8	)	)	PUNCT
ejpam-6439	125	9	∈	∈	PROPN
ejpam-6439	125	10	a	a	DET
ejpam-6439	125	11	denote	denote	NOUN
ejpam-6439	125	12	the	the	DET
ejpam-6439	125	13	maximum	maximum	ADJ
ejpam-6439	125	14	likelihood	likelihood	NOUN
ejpam-6439	125	15	estimator	estimator	NOUN
ejpam-6439	125	16	(	(	PUNCT
ejpam-6439	125	17	mle	mle	PROPN
ejpam-6439	125	18	)	)	PUNCT
ejpam-6439	125	19	of	of	ADP
ejpam-6439	125	20	the	the	DET
ejpam-6439	125	21	expected	expect	VERB
ejpam-6439	125	22	frequencies	frequency	NOUN
ejpam-6439	125	23	eij	eij	PROPN
ejpam-6439	125	24	under	under	ADP
ejpam-6439	125	25	the	the	DET
ejpam-6439	125	26	model	model	NOUN
ejpam-6439	125	27	of	of	ADP
ejpam-6439	125	28	interest	interest	NOUN
ejpam-6439	125	29	.	.	PUNCT
ejpam-6439	126	1	the	the	DET
ejpam-6439	126	2	mle	mle	PROPN
ejpam-6439	126	3	êij	êij	NOUN
ejpam-6439	126	4	can	can	AUX
ejpam-6439	126	5	be	be	AUX
ejpam-6439	126	6	obtained	obtain	VERB
ejpam-6439	126	7	by	by	ADP
ejpam-6439	126	8	maximizing	maximize	VERB
ejpam-6439	126	9	the	the	DET
ejpam-6439	126	10	log	log	NOUN
ejpam-6439	126	11	-	-	PUNCT
ejpam-6439	126	12	likelihood	likelihood	NOUN
ejpam-6439	126	13	function	function	NOUN
ejpam-6439	126	14	subject	subject	ADJ
ejpam-6439	126	15	to	to	ADP
ejpam-6439	126	16	the	the	DET
ejpam-6439	126	17	constraints	constraint	NOUN
ejpam-6439	126	18	imposed	impose	VERB
ejpam-6439	126	19	by	by	ADP
ejpam-6439	126	20	the	the	DET
ejpam-6439	126	21	model	model	NOUN
ejpam-6439	126	22	.	.	PUNCT
ejpam-6439	127	1	specifically	specifically	ADV
ejpam-6439	127	2	,	,	PUNCT
ejpam-6439	127	3	under	under	ADP
ejpam-6439	127	4	the	the	DET
ejpam-6439	127	5	aldps	aldps	ADJ
ejpam-6439	127	6	model	model	NOUN
ejpam-6439	127	7	,	,	PUNCT
ejpam-6439	127	8	êij	êij	NOUN
ejpam-6439	127	9	for	for	ADP
ejpam-6439	127	10	(	(	PUNCT
ejpam-6439	127	11	i	i	PROPN
ejpam-6439	127	12	,	,	PUNCT
ejpam-6439	127	13	j	j	PROPN
ejpam-6439	127	14	)	)	PUNCT
ejpam-6439	127	15	∈	∈	PROPN
ejpam-6439	127	16	a	a	PRON
ejpam-6439	127	17	can	can	AUX
ejpam-6439	127	18	be	be	AUX
ejpam-6439	127	19	obtained	obtain	VERB
ejpam-6439	127	20	by	by	ADP
ejpam-6439	127	21	maximizing	maximize	VERB
ejpam-6439	127	22	the	the	DET
ejpam-6439	127	23	following	following	ADJ
ejpam-6439	127	24	lagrangian	lagrangian	NOUN
ejpam-6439	127	25	with	with	ADP
ejpam-6439	127	26	respect	respect	NOUN
ejpam-6439	127	27	to	to	ADP
ejpam-6439	127	28	{	{	PUNCT
ejpam-6439	127	29	πij	πij	PROPN
ejpam-6439	127	30	}	}	PUNCT
ejpam-6439	127	31	,	,	PUNCT
ejpam-6439	127	32	ϕ	ϕ	NOUN
ejpam-6439	127	33	,	,	PUNCT
ejpam-6439	127	34	{	{	PUNCT
ejpam-6439	127	35	ψij	ψij	NOUN
ejpam-6439	127	36	}	}	PUNCT
ejpam-6439	127	37	,	,	PUNCT
ejpam-6439	127	38	and	and	CCONJ
ejpam-6439	127	39	δ	δ	PROPN
ejpam-6439	127	40	,	,	PUNCT
ejpam-6439	127	41	using	use	VERB
ejpam-6439	127	42	the	the	DET
ejpam-6439	127	43	newton	newton	PROPN
ejpam-6439	127	44	–	–	PUNCT
ejpam-6439	127	45	raphson	raphson	NOUN
ejpam-6439	127	46	method	method	NOUN
ejpam-6439	127	47	:	:	PUNCT
ejpam-6439	127	48	l	l	X
ejpam-6439	127	49	=	=	PUNCT
ejpam-6439	127	50	∑	∑	PUNCT
ejpam-6439	127	51	(	(	PUNCT
ejpam-6439	127	52	i	i	PROPN
ejpam-6439	127	53	,	,	PUNCT
ejpam-6439	127	54	j)∈a	j)∈a	PROPN
ejpam-6439	128	1	nij	nij	PROPN
ejpam-6439	129	1	log	log	PROPN
ejpam-6439	129	2	πij	πij	PROPN
ejpam-6439	129	3	−	−	PROPN
ejpam-6439	129	4	ϕ	ϕ	PROPN
ejpam-6439	129	5			PROPN
ejpam-6439	129	6	∑	∑	PROPN
ejpam-6439	129	7	(	(	PUNCT
ejpam-6439	129	8	i	i	PROPN
ejpam-6439	129	9	,	,	PUNCT
ejpam-6439	129	10	j)∈a	j)∈a	PROPN
ejpam-6439	130	1	πij	πij	PROPN
ejpam-6439	130	2	−	−	PROPN
ejpam-6439	130	3	1	1	NUM
ejpam-6439	131	1	−	−	ADV
ejpam-6439	131	2	∑	∑	PROPN
ejpam-6439	131	3	(	(	PUNCT
ejpam-6439	131	4	i	i	PROPN
ejpam-6439	131	5	,	,	PUNCT
ejpam-6439	131	6	j)∈e	j)∈e	PROPN
ejpam-6439	131	7	ψij	ψij	VERB
ejpam-6439	131	8	(	(	PUNCT
ejpam-6439	131	9	πij	πij	PROPN
ejpam-6439	131	10	−	−	PROPN
ejpam-6439	131	11	δr+1−(i+j)πj∗i∗	δr+1−(i+j)πj∗i∗	PROPN
ejpam-6439	131	12	)	)	PUNCT
ejpam-6439	131	13	.	.	PUNCT
ejpam-6439	132	1	the	the	DET
ejpam-6439	132	2	likelihood	likelihood	NOUN
ejpam-6439	132	3	ratio	ratio	NOUN
ejpam-6439	132	4	statistic	statistic	NOUN
ejpam-6439	132	5	for	for	ADP
ejpam-6439	132	6	testing	test	VERB
ejpam-6439	132	7	the	the	DET
ejpam-6439	132	8	goodness	goodness	NOUN
ejpam-6439	132	9	-	-	PUNCT
ejpam-6439	132	10	of	of	ADP
ejpam-6439	132	11	-	-	PUNCT
ejpam-6439	132	12	fit	fit	NOUN
ejpam-6439	132	13	of	of	ADP
ejpam-6439	132	14	model	model	NOUN
ejpam-6439	132	15	m	m	VERB
ejpam-6439	132	16	is	be	AUX
ejpam-6439	132	17	given	give	VERB
ejpam-6439	132	18	by	by	ADP
ejpam-6439	132	19	g2(m	g2(m	PROPN
ejpam-6439	132	20	)	)	PUNCT
ejpam-6439	132	21	=	=	SYM
ejpam-6439	132	22	2	2	NUM
ejpam-6439	132	23	∑	∑	PUNCT
ejpam-6439	132	24	(	(	PUNCT
ejpam-6439	132	25	i	i	PROPN
ejpam-6439	132	26	,	,	PUNCT
ejpam-6439	132	27	j)∈a	j)∈a	PROPN
ejpam-6439	132	28	nij	nij	PROPN
ejpam-6439	132	29	log	log	PROPN
ejpam-6439	132	30	(	(	PUNCT
ejpam-6439	132	31	nij	nij	PROPN
ejpam-6439	132	32	êij	êij	NOUN
ejpam-6439	132	33	)	)	PUNCT
ejpam-6439	132	34	,	,	PUNCT
ejpam-6439	132	35	where	where	SCONJ
ejpam-6439	132	36	êij	êij	NOUN
ejpam-6439	132	37	is	be	AUX
ejpam-6439	132	38	the	the	DET
ejpam-6439	132	39	mle	mle	NOUN
ejpam-6439	132	40	of	of	ADP
ejpam-6439	132	41	the	the	DET
ejpam-6439	132	42	expected	expect	VERB
ejpam-6439	132	43	frequency	frequency	NOUN
ejpam-6439	132	44	eij	eij	PROPN
ejpam-6439	132	45	under	under	ADP
ejpam-6439	132	46	model	model	NOUN
ejpam-6439	132	47	m.	m.	NOUN
ejpam-6439	132	48	table	table	NOUN
ejpam-6439	132	49	2	2	NUM
ejpam-6439	132	50	shows	show	VERB
ejpam-6439	132	51	the	the	DET
ejpam-6439	132	52	degrees	degree	NOUN
ejpam-6439	132	53	of	of	ADP
ejpam-6439	132	54	freedom	freedom	NOUN
ejpam-6439	132	55	for	for	ADP
ejpam-6439	132	56	testing	test	VERB
ejpam-6439	132	57	the	the	DET
ejpam-6439	132	58	goodness	goodness	NOUN
ejpam-6439	132	59	of	of	ADP
ejpam-6439	132	60	fit	fit	NOUN
ejpam-6439	132	61	for	for	ADP
ejpam-6439	132	62	each	each	DET
ejpam-6439	132	63	model	model	NOUN
ejpam-6439	132	64	.	.	PUNCT
ejpam-6439	133	1	the	the	DET
ejpam-6439	133	2	number	number	NOUN
ejpam-6439	133	3	of	of	ADP
ejpam-6439	133	4	degrees	degree	NOUN
ejpam-6439	133	5	of	of	ADP
ejpam-6439	133	6	freedom	freedom	NOUN
ejpam-6439	133	7	for	for	ADP
ejpam-6439	133	8	the	the	DET
ejpam-6439	133	9	aldps	aldps	ADJ
ejpam-6439	133	10	model	model	NOUN
ejpam-6439	133	11	is	be	AUX
ejpam-6439	133	12	given	give	VERB
ejpam-6439	133	13	by	by	ADP
ejpam-6439	133	14	(	(	PUNCT
ejpam-6439	133	15	r	r	NOUN
ejpam-6439	133	16	+	+	NUM
ejpam-6439	133	17	1)(r	1)(r	NUM
ejpam-6439	133	18	−	−	NOUN
ejpam-6439	133	19	2)/2	2)/2	NUM
ejpam-6439	133	20	,	,	PUNCT
ejpam-6439	133	21	which	which	PRON
ejpam-6439	133	22	is	be	AUX
ejpam-6439	133	23	r−	r−	PROPN
ejpam-6439	133	24	2	2	NUM
ejpam-6439	133	25	fewer	few	ADJ
ejpam-6439	133	26	than	than	ADP
ejpam-6439	133	27	that	that	PRON
ejpam-6439	133	28	for	for	ADP
ejpam-6439	133	29	the	the	DET
ejpam-6439	133	30	adps	adps	PROPN
ejpam-6439	133	31	model	model	NOUN
ejpam-6439	133	32	.	.	PUNCT
ejpam-6439	134	1	note	note	VERB
ejpam-6439	134	2	that	that	SCONJ
ejpam-6439	134	3	the	the	DET
ejpam-6439	134	4	number	number	NOUN
ejpam-6439	134	5	of	of	ADP
ejpam-6439	134	6	degrees	degree	NOUN
ejpam-6439	134	7	of	of	ADP
ejpam-6439	134	8	freedom	freedom	NOUN
ejpam-6439	134	9	for	for	ADP
ejpam-6439	134	10	the	the	DET
ejpam-6439	134	11	as	as	ADP
ejpam-6439	134	12	model	model	NOUN
ejpam-6439	134	13	equals	equal	VERB
ejpam-6439	134	14	the	the	DET
ejpam-6439	134	15	sum	sum	NOUN
ejpam-6439	134	16	of	of	ADP
ejpam-6439	134	17	that	that	PRON
ejpam-6439	134	18	for	for	ADP
ejpam-6439	134	19	the	the	DET
ejpam-6439	134	20	aldps	aldps	PROPN
ejpam-6439	134	21	and	and	CCONJ
ejpam-6439	134	22	ame	ame	PROPN
ejpam-6439	134	23	models	model	NOUN
ejpam-6439	134	24	.	.	PUNCT
ejpam-6439	135	1	table	table	NOUN
ejpam-6439	135	2	2	2	NUM
ejpam-6439	135	3	:	:	PUNCT
ejpam-6439	135	4	the	the	DET
ejpam-6439	135	5	number	number	NOUN
ejpam-6439	135	6	of	of	ADP
ejpam-6439	135	7	degrees	degree	NOUN
ejpam-6439	135	8	of	of	ADP
ejpam-6439	135	9	freedom	freedom	NOUN
ejpam-6439	135	10	for	for	ADP
ejpam-6439	135	11	testing	test	VERB
ejpam-6439	135	12	goodness	goodness	NOUN
ejpam-6439	135	13	-	-	PUNCT
ejpam-6439	135	14	of	of	ADP
ejpam-6439	135	15	-	-	PUNCT
ejpam-6439	135	16	fit	fit	NOUN
ejpam-6439	135	17	for	for	ADP
ejpam-6439	135	18	each	each	DET
ejpam-6439	135	19	model	model	NOUN
ejpam-6439	135	20	models	model	NOUN
ejpam-6439	135	21	degrees	degree	NOUN
ejpam-6439	135	22	of	of	ADP
ejpam-6439	135	23	freedom	freedom	NOUN
ejpam-6439	135	24	as	as	ADP
ejpam-6439	135	25	r(r−	r(r−	PROPN
ejpam-6439	135	26	1)/2	1)/2	NUM
ejpam-6439	135	27	acs	acs	PROPN
ejpam-6439	135	28	(	(	PUNCT
ejpam-6439	135	29	r+	r+	VERB
ejpam-6439	135	30	1)(r−	1)(r−	NUM
ejpam-6439	135	31	2)/2	2)/2	NUM
ejpam-6439	135	32	adps	adps	NOUN
ejpam-6439	135	33	(	(	PUNCT
ejpam-6439	135	34	r−	r−	PROPN
ejpam-6439	135	35	1)(r−	1)(r−	PROPN
ejpam-6439	135	36	2)/2	2)/2	NUM
ejpam-6439	135	37	aldps	aldps	NOUN
ejpam-6439	135	38	(	(	PUNCT
ejpam-6439	135	39	r+	r+	NOUN
ejpam-6439	135	40	1)(r−	1)(r−	NUM
ejpam-6439	135	41	2)/2	2)/2	NUM
ejpam-6439	135	42	ame	ame	NOUN
ejpam-6439	135	43	1	1	NUM
ejpam-6439	135	44	assume	assume	VERB
ejpam-6439	135	45	that	that	SCONJ
ejpam-6439	135	46	model	model	NOUN
ejpam-6439	135	47	m3	m3	PROPN
ejpam-6439	135	48	holds	hold	VERB
ejpam-6439	135	49	if	if	SCONJ
ejpam-6439	135	50	and	and	CCONJ
ejpam-6439	135	51	only	only	ADV
ejpam-6439	135	52	if	if	SCONJ
ejpam-6439	135	53	both	both	DET
ejpam-6439	135	54	models	model	VERB
ejpam-6439	135	55	m1	m1	PROPN
ejpam-6439	135	56	and	and	CCONJ
ejpam-6439	135	57	m2	m2	PROPN
ejpam-6439	135	58	hold	hold	VERB
ejpam-6439	135	59	,	,	PUNCT
ejpam-6439	135	60	where	where	SCONJ
ejpam-6439	135	61	the	the	DET
ejpam-6439	135	62	number	number	NOUN
ejpam-6439	135	63	of	of	ADP
ejpam-6439	135	64	degrees	degree	NOUN
ejpam-6439	135	65	of	of	ADP
ejpam-6439	135	66	freedom	freedom	NOUN
ejpam-6439	135	67	for	for	ADP
ejpam-6439	135	68	the	the	DET
ejpam-6439	135	69	model	model	NOUN
ejpam-6439	135	70	m3	m3	PROPN
ejpam-6439	135	71	equals	equal	VERB
ejpam-6439	135	72	the	the	DET
ejpam-6439	135	73	sum	sum	NOUN
ejpam-6439	135	74	of	of	ADP
ejpam-6439	135	75	that	that	PRON
ejpam-6439	135	76	for	for	ADP
ejpam-6439	135	77	the	the	DET
ejpam-6439	135	78	models	model	NOUN
ejpam-6439	135	79	m1	m1	PROPN
ejpam-6439	135	80	and	and	CCONJ
ejpam-6439	135	81	m2	m2	PROPN
ejpam-6439	135	82	.	.	PROPN
ejpam-6439	135	83	darroch	darroch	PROPN
ejpam-6439	135	84	and	and	CCONJ
ejpam-6439	135	85	silvey	silvey	VERB
ejpam-6439	135	86	[	[	X
ejpam-6439	135	87	10	10	NUM
ejpam-6439	135	88	]	]	PUNCT
ejpam-6439	135	89	described	describe	VERB
ejpam-6439	135	90	that	that	SCONJ
ejpam-6439	135	91	(	(	PUNCT
ejpam-6439	135	92	i	i	NOUN
ejpam-6439	135	93	)	)	PUNCT
ejpam-6439	135	94	when	when	SCONJ
ejpam-6439	135	95	the	the	DET
ejpam-6439	135	96	following	follow	VERB
ejpam-6439	135	97	asymptotic	asymptotic	ADJ
ejpam-6439	135	98	equivalence	equivalence	NOUN
ejpam-6439	135	99	holds	hold	VERB
ejpam-6439	135	100	:	:	PUNCT
ejpam-6439	135	101	g2(m3	g2(m3	ADJ
ejpam-6439	135	102	)	)	PUNCT
ejpam-6439	135	103	≃	≃	ADJ
ejpam-6439	135	104	g2(m1	g2(m1	NOUN
ejpam-6439	135	105	)	)	PUNCT
ejpam-6439	135	106	+	+	NOUN
ejpam-6439	135	107	g2(m2	g2(m2	NUM
ejpam-6439	135	108	)	)	PUNCT
ejpam-6439	135	109	,	,	PUNCT
ejpam-6439	135	110	(	(	PUNCT
ejpam-6439	135	111	2	2	X
ejpam-6439	135	112	)	)	PUNCT
ejpam-6439	135	113	if	if	SCONJ
ejpam-6439	135	114	both	both	DET
ejpam-6439	135	115	models	model	VERB
ejpam-6439	135	116	m1	m1	PROPN
ejpam-6439	135	117	and	and	CCONJ
ejpam-6439	135	118	m2	m2	PROPN
ejpam-6439	135	119	are	be	AUX
ejpam-6439	135	120	accepted	accept	VERB
ejpam-6439	135	121	(	(	PUNCT
ejpam-6439	135	122	at	at	ADP
ejpam-6439	135	123	the	the	DET
ejpam-6439	135	124	α	α	NOUN
ejpam-6439	135	125	significance	significance	NOUN
ejpam-6439	135	126	level	level	NOUN
ejpam-6439	135	127	)	)	PUNCT
ejpam-6439	135	128	with	with	ADP
ejpam-6439	135	129	high	high	ADJ
ejpam-6439	135	130	probability	probability	NOUN
ejpam-6439	135	131	,	,	PUNCT
ejpam-6439	135	132	then	then	ADV
ejpam-6439	135	133	the	the	DET
ejpam-6439	135	134	model	model	NOUN
ejpam-6439	135	135	m3	m3	PROPN
ejpam-6439	135	136	would	would	AUX
ejpam-6439	135	137	be	be	AUX
ejpam-6439	135	138	accepted	accept	VERB
ejpam-6439	135	139	;	;	PUNCT
ejpam-6439	135	140	however	however	ADV
ejpam-6439	135	141	,	,	PUNCT
ejpam-6439	135	142	(	(	PUNCT
ejpam-6439	135	143	ii	ii	NOUN
ejpam-6439	135	144	)	)	PUNCT
ejpam-6439	135	145	when	when	SCONJ
ejpam-6439	135	146	the	the	DET
ejpam-6439	135	147	equation	equation	NOUN
ejpam-6439	135	148	(	(	PUNCT
ejpam-6439	135	149	2	2	X
ejpam-6439	135	150	)	)	PUNCT
ejpam-6439	135	151	does	do	AUX
ejpam-6439	135	152	not	not	PART
ejpam-6439	135	153	hold	hold	VERB
ejpam-6439	135	154	,	,	PUNCT
ejpam-6439	135	155	such	such	DET
ejpam-6439	135	156	an	an	DET
ejpam-6439	135	157	incompatible	incompatible	ADJ
ejpam-6439	135	158	situation	situation	NOUN
ejpam-6439	135	159	that	that	SCONJ
ejpam-6439	135	160	both	both	DET
ejpam-6439	135	161	models	model	VERB
ejpam-6439	135	162	m1	m1	PROPN
ejpam-6439	135	163	and	and	CCONJ
ejpam-6439	135	164	m2	m2	PROPN
ejpam-6439	135	165	are	be	AUX
ejpam-6439	135	166	accepted	accept	VERB
ejpam-6439	135	167	with	with	ADP
ejpam-6439	135	168	high	high	ADJ
ejpam-6439	135	169	probability	probability	NOUN
ejpam-6439	135	170	but	but	CCONJ
ejpam-6439	135	171	the	the	DET
ejpam-6439	135	172	model	model	NOUN
ejpam-6439	135	173	m3	m3	PROPN
ejpam-6439	135	174	is	be	AUX
ejpam-6439	135	175	rejected	reject	VERB
ejpam-6439	135	176	with	with	ADP
ejpam-6439	135	177	high	high	ADJ
ejpam-6439	135	178	probability	probability	NOUN
ejpam-6439	135	179	is	be	AUX
ejpam-6439	135	180	quite	quite	ADV
ejpam-6439	135	181	possible	possible	ADJ
ejpam-6439	135	182	.	.	PUNCT
ejpam-6439	136	1	in	in	ADP
ejpam-6439	136	2	s.	s.	PROPN
ejpam-6439	136	3	ando	ando	PROPN
ejpam-6439	136	4	/	/	SYM
ejpam-6439	136	5	eur	eur	PROPN
ejpam-6439	136	6	.	.	PUNCT
ejpam-6439	137	1	j.	j.	PROPN
ejpam-6439	137	2	pure	pure	PROPN
ejpam-6439	137	3	appl	appl	PROPN
ejpam-6439	137	4	.	.	PROPN
ejpam-6439	137	5	math	math	PROPN
ejpam-6439	137	6	,	,	PUNCT
ejpam-6439	137	7	18	18	NUM
ejpam-6439	137	8	(	(	PUNCT
ejpam-6439	137	9	4	4	NUM
ejpam-6439	137	10	)	)	PUNCT
ejpam-6439	137	11	(	(	PUNCT
ejpam-6439	137	12	2025	2025	NUM
ejpam-6439	137	13	)	)	PUNCT
ejpam-6439	137	14	,	,	PUNCT
ejpam-6439	137	15	6439	6439	NUM
ejpam-6439	137	16	7	7	NUM
ejpam-6439	137	17	of	of	ADP
ejpam-6439	137	18	13	13	NUM
ejpam-6439	137	19	fact	fact	NOUN
ejpam-6439	137	20	,	,	PUNCT
ejpam-6439	137	21	darroch	darroch	NOUN
ejpam-6439	137	22	and	and	CCONJ
ejpam-6439	137	23	silvey	silvey	VERB
ejpam-6439	137	24	[	[	X
ejpam-6439	137	25	10	10	NUM
ejpam-6439	137	26	]	]	PUNCT
ejpam-6439	137	27	,	,	PUNCT
ejpam-6439	137	28	tahata	tahata	PROPN
ejpam-6439	137	29	,	,	PUNCT
ejpam-6439	137	30	ando	ando	PROPN
ejpam-6439	137	31	and	and	CCONJ
ejpam-6439	137	32	tomizawa	tomizawa	PROPN
ejpam-6439	138	1	[	[	X
ejpam-6439	138	2	11	11	NUM
ejpam-6439	138	3	]	]	PUNCT
ejpam-6439	138	4	showed	show	VERB
ejpam-6439	138	5	such	such	ADJ
ejpam-6439	138	6	interesting	interesting	ADJ
ejpam-6439	138	7	examples	example	NOUN
ejpam-6439	138	8	.	.	PUNCT
ejpam-6439	139	1	we	we	PRON
ejpam-6439	139	2	now	now	ADV
ejpam-6439	139	3	demonstrate	demonstrate	VERB
ejpam-6439	139	4	that	that	SCONJ
ejpam-6439	139	5	theorem	theorem	VERB
ejpam-6439	139	6	1	1	NUM
ejpam-6439	139	7	satisfies	satisfie	NOUN
ejpam-6439	139	8	the	the	DET
ejpam-6439	139	9	asymptotic	asymptotic	ADJ
ejpam-6439	139	10	equivalence	equivalence	NOUN
ejpam-6439	139	11	given	give	VERB
ejpam-6439	139	12	in	in	ADP
ejpam-6439	139	13	equation	equation	NOUN
ejpam-6439	139	14	(	(	PUNCT
ejpam-6439	139	15	2	2	NUM
ejpam-6439	139	16	)	)	PUNCT
ejpam-6439	139	17	.	.	PUNCT
ejpam-6439	140	1	accordingly	accordingly	ADV
ejpam-6439	140	2	,	,	PUNCT
ejpam-6439	140	3	the	the	DET
ejpam-6439	140	4	following	follow	VERB
ejpam-6439	140	5	theorem	theorem	NOUN
ejpam-6439	140	6	is	be	AUX
ejpam-6439	140	7	obtained	obtain	VERB
ejpam-6439	140	8	.	.	PUNCT
ejpam-6439	141	1	theorem	theorem	NOUN
ejpam-6439	141	2	2	2	NUM
ejpam-6439	141	3	.	.	X
ejpam-6439	142	1	for	for	ADP
ejpam-6439	142	2	r	r	NOUN
ejpam-6439	142	3	×	×	PROPN
ejpam-6439	142	4	r	r	NOUN
ejpam-6439	142	5	square	square	ADJ
ejpam-6439	142	6	contingency	contingency	NOUN
ejpam-6439	142	7	tables	table	NOUN
ejpam-6439	142	8	,	,	PUNCT
ejpam-6439	142	9	the	the	DET
ejpam-6439	142	10	following	follow	VERB
ejpam-6439	142	11	asymptotic	asymptotic	ADJ
ejpam-6439	142	12	equivalence	equivalence	NOUN
ejpam-6439	142	13	holds	hold	VERB
ejpam-6439	142	14	:	:	PUNCT
ejpam-6439	142	15	g2(as	g2(as	NUM
ejpam-6439	142	16	)	)	PUNCT
ejpam-6439	142	17	≃	≃	NOUN
ejpam-6439	142	18	g2(aldps	g2(aldps	NOUN
ejpam-6439	142	19	)	)	PUNCT
ejpam-6439	142	20	+	+	NOUN
ejpam-6439	142	21	g2(ame	g2(ame	NUM
ejpam-6439	142	22	)	)	PUNCT
ejpam-6439	142	23	.	.	PUNCT
ejpam-6439	143	1	proof	proof	NOUN
ejpam-6439	143	2	.	.	PUNCT
ejpam-6439	144	1	the	the	DET
ejpam-6439	144	2	aldps	aldps	ADJ
ejpam-6439	144	3	model	model	NOUN
ejpam-6439	144	4	may	may	AUX
ejpam-6439	144	5	be	be	AUX
ejpam-6439	144	6	expressed	express	VERB
ejpam-6439	144	7	as	as	ADP
ejpam-6439	144	8	log	log	NOUN
ejpam-6439	144	9	πij	πij	NOUN
ejpam-6439	144	10	=	=	PRON
ejpam-6439	144	11	{	{	PUNCT
ejpam-6439	144	12	r+	r+	NOUN
ejpam-6439	144	13	1−	1−	NUM
ejpam-6439	144	14	(	(	PUNCT
ejpam-6439	144	15	i+	i+	NOUN
ejpam-6439	145	1	j)}β1	j)}β1	NOUN
ejpam-6439	146	1	+	+	NUM
ejpam-6439	146	2	ϕij	ϕij	NOUN
ejpam-6439	146	3	i	i	NOUN
ejpam-6439	146	4	=	=	NOUN
ejpam-6439	146	5	1	1	NUM
ejpam-6439	146	6	,	,	PUNCT
ejpam-6439	146	7	.	.	PUNCT
ejpam-6439	146	8	.	.	PUNCT
ejpam-6439	147	1	.	.	PUNCT
ejpam-6439	148	1	,	,	PUNCT
ejpam-6439	148	2	r	r	NOUN
ejpam-6439	148	3	;	;	PUNCT
ejpam-6439	148	4	j	j	PROPN
ejpam-6439	148	5	=	=	SYM
ejpam-6439	148	6	1	1	NUM
ejpam-6439	148	7	,	,	PUNCT
ejpam-6439	148	8	.	.	PUNCT
ejpam-6439	148	9	.	.	PUNCT
ejpam-6439	148	10	.	.	PUNCT
ejpam-6439	149	1	,	,	PUNCT
ejpam-6439	149	2	r	r	NOUN
ejpam-6439	149	3	,	,	PUNCT
ejpam-6439	149	4	(	(	PUNCT
ejpam-6439	149	5	3	3	X
ejpam-6439	149	6	)	)	PUNCT
ejpam-6439	149	7	where	where	SCONJ
ejpam-6439	149	8	ϕij	ϕij	NOUN
ejpam-6439	149	9	=	=	SYM
ejpam-6439	149	10	ϕj∗i∗	ϕj∗i∗	PROPN
ejpam-6439	149	11	.	.	PUNCT
ejpam-6439	150	1	let	let	VERB
ejpam-6439	150	2	β	β	X
ejpam-6439	150	3	=	=	SYM
ejpam-6439	150	4	(	(	PUNCT
ejpam-6439	150	5	β1,β2	β1,β2	PROPN
ejpam-6439	150	6	)	)	PUNCT
ejpam-6439	150	7	⊤	⊤	NOUN
ejpam-6439	150	8	,	,	PUNCT
ejpam-6439	150	9	where	where	SCONJ
ejpam-6439	150	10	β2	β2	NOUN
ejpam-6439	150	11	=	=	SYM
ejpam-6439	150	12	(	(	PUNCT
ejpam-6439	150	13	ϕ11	ϕ11	PROPN
ejpam-6439	150	14	,	,	PUNCT
ejpam-6439	150	15	ϕ12	ϕ12	NOUN
ejpam-6439	150	16	,	,	PUNCT
ejpam-6439	150	17	.	.	PUNCT
ejpam-6439	150	18	.	.	PUNCT
ejpam-6439	150	19	.	.	PUNCT
ejpam-6439	151	1	,	,	PUNCT
ejpam-6439	151	2	ϕ1r	ϕ1r	PROPN
ejpam-6439	151	3	,	,	PUNCT
ejpam-6439	151	4	ϕ21	ϕ21	PROPN
ejpam-6439	151	5	,	,	PUNCT
ejpam-6439	151	6	ϕ22	ϕ22	PROPN
ejpam-6439	151	7	,	,	PUNCT
ejpam-6439	151	8	.	.	PUNCT
ejpam-6439	151	9	.	.	PUNCT
ejpam-6439	151	10	.	.	PUNCT
ejpam-6439	152	1	,	,	PUNCT
ejpam-6439	152	2	ϕ2,r−1	ϕ2,r−1	PROPN
ejpam-6439	152	3	,	,	PUNCT
ejpam-6439	152	4	.	.	PUNCT
ejpam-6439	152	5	.	.	PUNCT
ejpam-6439	152	6	.	.	PUNCT
ejpam-6439	153	1	,	,	PUNCT
ejpam-6439	153	2	ϕrr	ϕrr	PROPN
ejpam-6439	153	3	)	)	PUNCT
ejpam-6439	153	4	,	,	PUNCT
ejpam-6439	153	5	is	be	AUX
ejpam-6439	153	6	the	the	DET
ejpam-6439	153	7	1×r(r+1)/2	1×r(r+1)/2	NUM
ejpam-6439	153	8	vector	vector	NOUN
ejpam-6439	153	9	of	of	ADP
ejpam-6439	153	10	ϕij	ϕij	NOUN
ejpam-6439	153	11	for	for	ADP
ejpam-6439	153	12	i+	i+	NUM
ejpam-6439	153	13	j	j	PROPN
ejpam-6439	153	14	≤	≤	PROPN
ejpam-6439	153	15	r+1	r+1	PROPN
ejpam-6439	153	16	.	.	PUNCT
ejpam-6439	154	1	then	then	ADV
ejpam-6439	154	2	,	,	PUNCT
ejpam-6439	154	3	the	the	DET
ejpam-6439	154	4	aldps	aldps	ADJ
ejpam-6439	154	5	model	model	NOUN
ejpam-6439	154	6	is	be	AUX
ejpam-6439	154	7	expressed	express	VERB
ejpam-6439	154	8	as	as	ADP
ejpam-6439	154	9	logπ	logπ	NOUN
ejpam-6439	154	10	=	=	SYM
ejpam-6439	154	11	xβ	xβ	PROPN
ejpam-6439	154	12	=	=	SYM
ejpam-6439	154	13	(	(	PUNCT
ejpam-6439	154	14	x1,x2)β	x1,x2)β	PROPN
ejpam-6439	154	15	,	,	PUNCT
ejpam-6439	154	16	where	where	SCONJ
ejpam-6439	154	17	x	x	PRON
ejpam-6439	154	18	is	be	AUX
ejpam-6439	154	19	the	the	DET
ejpam-6439	154	20	r2	r2	PROPN
ejpam-6439	154	21	×k	×k	NOUN
ejpam-6439	154	22	matrix	matrix	NOUN
ejpam-6439	154	23	with	with	ADP
ejpam-6439	154	24	k	k	PROPN
ejpam-6439	155	1	=	=	SYM
ejpam-6439	155	2	(	(	PUNCT
ejpam-6439	155	3	r2	r2	PROPN
ejpam-6439	155	4	+	+	NOUN
ejpam-6439	155	5	r+	r+	NOUN
ejpam-6439	155	6	2)/2	2)/2	NUM
ejpam-6439	155	7	and	and	CCONJ
ejpam-6439	155	8	x1	x1	NUM
ejpam-6439	155	9	=	=	PUNCT
ejpam-6439	155	10	(	(	PUNCT
ejpam-6439	155	11	r+	r+	X
ejpam-6439	155	12	1)1r2	1)1r2	NUM
ejpam-6439	155	13	−	−	PROPN
ejpam-6439	155	14	(	(	PUNCT
ejpam-6439	155	15	1r	1r	NUM
ejpam-6439	155	16	⊗	⊗	PROPN
ejpam-6439	155	17	jr	jr	PROPN
ejpam-6439	156	1	+	+	CCONJ
ejpam-6439	156	2	jr	jr	PROPN
ejpam-6439	156	3	⊗	⊗	PROPN
ejpam-6439	156	4	1r	1r	NUM
ejpam-6439	156	5	)	)	PUNCT
ejpam-6439	156	6	;	;	PUNCT
ejpam-6439	156	7	the	the	DET
ejpam-6439	156	8	r2	r2	PROPN
ejpam-6439	156	9	×	×	PROPN
ejpam-6439	156	10	1vector	1vector	NUM
ejpam-6439	156	11	,	,	PUNCT
ejpam-6439	156	12	and	and	CCONJ
ejpam-6439	156	13	x2	x2	PROPN
ejpam-6439	156	14	is	be	AUX
ejpam-6439	156	15	the	the	DET
ejpam-6439	156	16	r	r	NOUN
ejpam-6439	156	17	2×r(r+1)/2	2×r(r+1)/2	NUM
ejpam-6439	156	18	matrix	matrix	NOUN
ejpam-6439	156	19	of	of	ADP
ejpam-6439	156	20	1	1	NUM
ejpam-6439	156	21	or	or	CCONJ
ejpam-6439	156	22	0	0	NUM
ejpam-6439	156	23	elements	element	NOUN
ejpam-6439	156	24	,	,	PUNCT
ejpam-6439	156	25	determined	determine	VERB
ejpam-6439	156	26	from	from	ADP
ejpam-6439	156	27	the	the	DET
ejpam-6439	156	28	equation	equation	NOUN
ejpam-6439	156	29	(	(	PUNCT
ejpam-6439	156	30	3	3	NUM
ejpam-6439	156	31	)	)	PUNCT
ejpam-6439	156	32	,	,	PUNCT
ejpam-6439	156	33	1s	1s	PROPN
ejpam-6439	156	34	is	be	AUX
ejpam-6439	156	35	the	the	DET
ejpam-6439	156	36	s×1	s×1	NOUN
ejpam-6439	156	37	vector	vector	NOUN
ejpam-6439	156	38	of	of	ADP
ejpam-6439	156	39	1	1	NUM
ejpam-6439	156	40	elements	element	NOUN
ejpam-6439	156	41	and	and	CCONJ
ejpam-6439	156	42	jr	jr	PROPN
ejpam-6439	156	43	=	=	PUNCT
ejpam-6439	156	44	(	(	PUNCT
ejpam-6439	156	45	1	1	NUM
ejpam-6439	156	46	,	,	PUNCT
ejpam-6439	156	47	2	2	NUM
ejpam-6439	156	48	,	,	PUNCT
ejpam-6439	156	49	.	.	PUNCT
ejpam-6439	156	50	.	.	PUNCT
ejpam-6439	157	1	.	.	PUNCT
ejpam-6439	158	1	,	,	PUNCT
ejpam-6439	158	2	r)⊤	r)⊤	NOUN
ejpam-6439	158	3	,	,	PUNCT
ejpam-6439	158	4	and	and	CCONJ
ejpam-6439	158	5	the	the	DET
ejpam-6439	158	6	symbol	symbol	NOUN
ejpam-6439	158	7	“	"	PUNCT
ejpam-6439	158	8	⊗	⊗	PROPN
ejpam-6439	158	9	”	"	PUNCT
ejpam-6439	158	10	represents	represent	VERB
ejpam-6439	158	11	the	the	DET
ejpam-6439	158	12	kronecker	kronecker	NOUN
ejpam-6439	158	13	product	product	NOUN
ejpam-6439	158	14	.	.	PUNCT
ejpam-6439	159	1	note	note	VERB
ejpam-6439	159	2	that	that	SCONJ
ejpam-6439	159	3	x21r(r+1)/2	x21r(r+1)/2	PROPN
ejpam-6439	159	4	=	=	PRON
ejpam-6439	160	1	1r2	1r2	NUM
ejpam-6439	160	2	holds	hold	VERB
ejpam-6439	160	3	.	.	PUNCT
ejpam-6439	161	1	note	note	VERB
ejpam-6439	161	2	that	that	SCONJ
ejpam-6439	161	3	the	the	DET
ejpam-6439	161	4	matrix	matrix	NOUN
ejpam-6439	161	5	x	x	PUNCT
ejpam-6439	161	6	is	be	AUX
ejpam-6439	161	7	full	full	ADJ
ejpam-6439	161	8	column	column	NOUN
ejpam-6439	161	9	rank	rank	NOUN
ejpam-6439	161	10	which	which	PRON
ejpam-6439	161	11	is	be	AUX
ejpam-6439	161	12	k.	k.	PROPN
ejpam-6439	161	13	in	in	ADP
ejpam-6439	161	14	a	a	DET
ejpam-6439	161	15	similar	similar	ADJ
ejpam-6439	161	16	manner	manner	NOUN
ejpam-6439	161	17	to	to	ADP
ejpam-6439	161	18	haber	haber	PROPN
ejpam-6439	162	1	[	[	X
ejpam-6439	162	2	12	12	NUM
ejpam-6439	162	3	]	]	PUNCT
ejpam-6439	162	4	,	,	PUNCT
ejpam-6439	162	5	and	and	CCONJ
ejpam-6439	162	6	lang	lang	PROPN
ejpam-6439	162	7	and	and	CCONJ
ejpam-6439	162	8	agresti	agresti	NOUN
ejpam-6439	163	1	[	[	X
ejpam-6439	163	2	13	13	NUM
ejpam-6439	163	3	]	]	PUNCT
ejpam-6439	163	4	,	,	PUNCT
ejpam-6439	163	5	we	we	PRON
ejpam-6439	163	6	denote	denote	VERB
ejpam-6439	163	7	the	the	DET
ejpam-6439	163	8	linear	linear	ADJ
ejpam-6439	163	9	space	space	NOUN
ejpam-6439	163	10	spanned	span	VERB
ejpam-6439	163	11	by	by	ADP
ejpam-6439	163	12	the	the	DET
ejpam-6439	163	13	columns	column	NOUN
ejpam-6439	163	14	of	of	ADP
ejpam-6439	163	15	the	the	DET
ejpam-6439	163	16	matrix	matrix	NOUN
ejpam-6439	163	17	x	x	PUNCT
ejpam-6439	163	18	by	by	ADP
ejpam-6439	163	19	s(x	s(x	NOUN
ejpam-6439	163	20	)	)	PUNCT
ejpam-6439	163	21	with	with	ADP
ejpam-6439	163	22	the	the	DET
ejpam-6439	163	23	dimension	dimension	NOUN
ejpam-6439	163	24	k.	k.	PROPN
ejpam-6439	163	25	let	let	VERB
ejpam-6439	163	26	u	u	PRON
ejpam-6439	163	27	be	be	AUX
ejpam-6439	163	28	an	an	DET
ejpam-6439	163	29	r2	r2	NOUN
ejpam-6439	163	30	×	×	NOUN
ejpam-6439	163	31	d1	d1	PROPN
ejpam-6439	163	32	matrix	matrix	NOUN
ejpam-6439	163	33	,	,	PUNCT
ejpam-6439	163	34	where	where	SCONJ
ejpam-6439	163	35	d1	d1	PROPN
ejpam-6439	163	36	=	=	SYM
ejpam-6439	164	1	r2	r2	PROPN
ejpam-6439	164	2	−k	−k	NOUN
ejpam-6439	164	3	=	=	PUNCT
ejpam-6439	164	4	(	(	PUNCT
ejpam-6439	164	5	r	r	NOUN
ejpam-6439	164	6	+	+	NUM
ejpam-6439	164	7	1)(r	1)(r	NUM
ejpam-6439	164	8	−	−	NOUN
ejpam-6439	164	9	2)/2	2)/2	NUM
ejpam-6439	164	10	,	,	PUNCT
ejpam-6439	164	11	full	full	ADJ
ejpam-6439	164	12	column	column	NOUN
ejpam-6439	164	13	rank	rank	NOUN
ejpam-6439	164	14	matrix	matrix	NOUN
ejpam-6439	164	15	such	such	ADJ
ejpam-6439	164	16	that	that	SCONJ
ejpam-6439	164	17	the	the	DET
ejpam-6439	164	18	linear	linear	ADJ
ejpam-6439	164	19	space	space	NOUN
ejpam-6439	164	20	spanned	span	VERB
ejpam-6439	164	21	by	by	ADP
ejpam-6439	164	22	the	the	DET
ejpam-6439	164	23	columns	column	NOUN
ejpam-6439	164	24	of	of	ADP
ejpam-6439	164	25	u	u	PROPN
ejpam-6439	164	26	,	,	PUNCT
ejpam-6439	164	27	i.e.	i.e.	X
ejpam-6439	164	28	,	,	PUNCT
ejpam-6439	164	29	s(u	s(u	PROPN
ejpam-6439	164	30	)	)	PUNCT
ejpam-6439	164	31	,	,	PUNCT
ejpam-6439	164	32	is	be	AUX
ejpam-6439	164	33	the	the	DET
ejpam-6439	164	34	orthogonal	orthogonal	ADJ
ejpam-6439	164	35	complement	complement	NOUN
ejpam-6439	164	36	of	of	ADP
ejpam-6439	164	37	the	the	DET
ejpam-6439	164	38	space	space	NOUN
ejpam-6439	164	39	s(x	s(x	PROPN
ejpam-6439	164	40	)	)	PUNCT
ejpam-6439	164	41	.	.	PUNCT
ejpam-6439	165	1	thus	thus	ADV
ejpam-6439	165	2	,	,	PUNCT
ejpam-6439	165	3	u⊤x	u⊤x	PUNCT
ejpam-6439	165	4	=	=	SYM
ejpam-6439	165	5	od1,k	od1,k	PROPN
ejpam-6439	165	6	where	where	SCONJ
ejpam-6439	165	7	od1,k	od1,k	PROPN
ejpam-6439	165	8	is	be	AUX
ejpam-6439	165	9	the	the	DET
ejpam-6439	165	10	d1	d1	PROPN
ejpam-6439	165	11	×	×	NOUN
ejpam-6439	165	12	k	k	PROPN
ejpam-6439	165	13	zero	zero	NUM
ejpam-6439	165	14	matrix	matrix	NOUN
ejpam-6439	165	15	.	.	PUNCT
ejpam-6439	166	1	therefore	therefore	ADV
ejpam-6439	166	2	,	,	PUNCT
ejpam-6439	166	3	the	the	DET
ejpam-6439	166	4	aldps	aldps	ADJ
ejpam-6439	166	5	model	model	NOUN
ejpam-6439	166	6	is	be	AUX
ejpam-6439	166	7	expressed	express	VERB
ejpam-6439	166	8	as	as	ADP
ejpam-6439	166	9	h1(π	h1(π	NOUN
ejpam-6439	166	10	)	)	PUNCT
ejpam-6439	166	11	=	=	PUNCT
ejpam-6439	166	12	0d1	0d1	NOUN
ejpam-6439	166	13	,	,	PUNCT
ejpam-6439	166	14	where	where	SCONJ
ejpam-6439	166	15	0d1	0d1	NOUN
ejpam-6439	166	16	is	be	AUX
ejpam-6439	166	17	the	the	DET
ejpam-6439	166	18	d1	d1	ADJ
ejpam-6439	166	19	×	×	NOUN
ejpam-6439	166	20	1	1	NUM
ejpam-6439	166	21	zero	zero	NUM
ejpam-6439	166	22	vector	vector	NOUN
ejpam-6439	166	23	and	and	CCONJ
ejpam-6439	166	24	h1(π	h1(π	NOUN
ejpam-6439	166	25	)	)	PUNCT
ejpam-6439	166	26	=	=	SYM
ejpam-6439	166	27	u⊤	u⊤	NOUN
ejpam-6439	166	28	logπ	logπ	PROPN
ejpam-6439	166	29	.	.	PUNCT
ejpam-6439	167	1	the	the	DET
ejpam-6439	167	2	ame	ame	PROPN
ejpam-6439	167	3	model	model	NOUN
ejpam-6439	167	4	may	may	AUX
ejpam-6439	167	5	be	be	AUX
ejpam-6439	167	6	expressed	express	VERB
ejpam-6439	167	7	as	as	ADP
ejpam-6439	167	8	h2(π	h2(π	X
ejpam-6439	167	9	)	)	PUNCT
ejpam-6439	167	10	=	=	SYM
ejpam-6439	167	11	0	0	PROPN
ejpam-6439	167	12	,	,	PUNCT
ejpam-6439	167	13	s.	s.	PROPN
ejpam-6439	167	14	ando	ando	PROPN
ejpam-6439	167	15	/	/	SYM
ejpam-6439	167	16	eur	eur	PROPN
ejpam-6439	167	17	.	.	PUNCT
ejpam-6439	168	1	j.	j.	PROPN
ejpam-6439	168	2	pure	pure	PROPN
ejpam-6439	168	3	appl	appl	PROPN
ejpam-6439	168	4	.	.	PROPN
ejpam-6439	168	5	math	math	PROPN
ejpam-6439	168	6	,	,	PUNCT
ejpam-6439	168	7	18	18	NUM
ejpam-6439	168	8	(	(	PUNCT
ejpam-6439	168	9	4	4	NUM
ejpam-6439	168	10	)	)	PUNCT
ejpam-6439	168	11	(	(	PUNCT
ejpam-6439	168	12	2025	2025	NUM
ejpam-6439	168	13	)	)	PUNCT
ejpam-6439	168	14	,	,	PUNCT
ejpam-6439	168	15	6439	6439	NUM
ejpam-6439	168	16	8	8	NUM
ejpam-6439	168	17	of	of	ADP
ejpam-6439	168	18	13	13	NUM
ejpam-6439	168	19	where	where	SCONJ
ejpam-6439	168	20	h2(π	h2(π	NOUN
ejpam-6439	168	21	)	)	PUNCT
ejpam-6439	168	22	=	=	SYM
ejpam-6439	168	23	wπ	wπ	NOUN
ejpam-6439	168	24	,	,	PUNCT
ejpam-6439	168	25	with	with	ADP
ejpam-6439	168	26	w	w	NOUN
ejpam-6439	168	27	=	=	PUNCT
ejpam-6439	168	28	(	(	PUNCT
ejpam-6439	168	29	(	(	PUNCT
ejpam-6439	168	30	r+	r+	X
ejpam-6439	168	31	1)1r2	1)1r2	NUM
ejpam-6439	168	32	−	−	PROPN
ejpam-6439	168	33	(	(	PUNCT
ejpam-6439	168	34	1r	1r	NUM
ejpam-6439	168	35	⊗	⊗	PROPN
ejpam-6439	168	36	jr	jr	PROPN
ejpam-6439	169	1	+	+	CCONJ
ejpam-6439	169	2	jr	jr	PROPN
ejpam-6439	169	3	⊗	⊗	PROPN
ejpam-6439	169	4	1r	1r	NUM
ejpam-6439	169	5	)	)	PUNCT
ejpam-6439	169	6	)	)	PUNCT
ejpam-6439	169	7	⊤	⊤	NOUN
ejpam-6439	169	8	;	;	PUNCT
ejpam-6439	169	9	the	the	DET
ejpam-6439	169	10	1×r2vector	1×r2vector	NOUN
ejpam-6439	169	11	.	.	PUNCT
ejpam-6439	170	1	namely	namely	ADV
ejpam-6439	170	2	,	,	PUNCT
ejpam-6439	170	3	w⊤	w⊤	VERB
ejpam-6439	170	4	=	=	SYM
ejpam-6439	170	5	x1	x1	PROPN
ejpam-6439	170	6	.	.	PUNCT
ejpam-6439	171	1	thus	thus	ADV
ejpam-6439	171	2	w⊤	w⊤	PRON
ejpam-6439	171	3	belongs	belong	VERB
ejpam-6439	171	4	to	to	ADP
ejpam-6439	171	5	the	the	DET
ejpam-6439	171	6	space	space	NOUN
ejpam-6439	171	7	s(x	s(x	PROPN
ejpam-6439	171	8	)	)	PUNCT
ejpam-6439	171	9	,	,	PUNCT
ejpam-6439	171	10	i.e.	i.e.	X
ejpam-6439	171	11	,	,	PUNCT
ejpam-6439	171	12	s(w⊤	s(w⊤	NUM
ejpam-6439	171	13	)	)	PUNCT
ejpam-6439	171	14	⊂	⊂	PROPN
ejpam-6439	171	15	s(x	s(x	PROPN
ejpam-6439	171	16	)	)	PUNCT
ejpam-6439	171	17	.	.	PUNCT
ejpam-6439	172	1	hence	hence	ADV
ejpam-6439	172	2	wu	wu	PROPN
ejpam-6439	172	3	=	=	SYM
ejpam-6439	172	4	0⊤d1	0⊤d1	PROPN
ejpam-6439	172	5	.	.	PUNCT
ejpam-6439	173	1	from	from	ADP
ejpam-6439	173	2	theorem	theorem	ADJ
ejpam-6439	173	3	1	1	NUM
ejpam-6439	173	4	,	,	PUNCT
ejpam-6439	173	5	the	the	DET
ejpam-6439	173	6	as	as	ADP
ejpam-6439	173	7	model	model	NOUN
ejpam-6439	173	8	may	may	AUX
ejpam-6439	173	9	be	be	AUX
ejpam-6439	173	10	expressed	express	VERB
ejpam-6439	173	11	as	as	ADP
ejpam-6439	173	12	h3(π	h3(π	X
ejpam-6439	173	13	)	)	PUNCT
ejpam-6439	173	14	=	=	SYM
ejpam-6439	173	15	0d3	0d3	NOUN
ejpam-6439	173	16	,	,	PUNCT
ejpam-6439	173	17	where	where	SCONJ
ejpam-6439	173	18	d3	d3	PROPN
ejpam-6439	173	19	=	=	PUNCT
ejpam-6439	173	20	d1	d1	PROPN
ejpam-6439	173	21	+	+	CCONJ
ejpam-6439	173	22	d2	d2	NOUN
ejpam-6439	173	23	=	=	SYM
ejpam-6439	173	24	r(r−	r(r−	PROPN
ejpam-6439	173	25	1)/2	1)/2	PROPN
ejpam-6439	173	26	with	with	ADP
ejpam-6439	173	27	d2	d2	PROPN
ejpam-6439	173	28	=	=	SYM
ejpam-6439	173	29	1	1	NUM
ejpam-6439	173	30	,	,	PUNCT
ejpam-6439	173	31	h3	h3	NOUN
ejpam-6439	173	32	=	=	SYM
ejpam-6439	173	33	(	(	PUNCT
ejpam-6439	173	34	h1	h1	PROPN
ejpam-6439	173	35	,	,	PUNCT
ejpam-6439	173	36	h2	h2	NOUN
ejpam-6439	173	37	)	)	PUNCT
ejpam-6439	173	38	⊤.	⊤.	NOUN
ejpam-6439	173	39	note	note	NOUN
ejpam-6439	173	40	that	that	SCONJ
ejpam-6439	173	41	hs(π	hs(π	VERB
ejpam-6439	173	42	)	)	PUNCT
ejpam-6439	173	43	,	,	PUNCT
ejpam-6439	173	44	s	s	NOUN
ejpam-6439	173	45	=	=	SYM
ejpam-6439	173	46	1	1	NUM
ejpam-6439	173	47	,	,	PUNCT
ejpam-6439	173	48	2	2	NUM
ejpam-6439	173	49	,	,	PUNCT
ejpam-6439	173	50	3	3	NUM
ejpam-6439	173	51	,	,	PUNCT
ejpam-6439	173	52	are	be	AUX
ejpam-6439	173	53	the	the	DET
ejpam-6439	173	54	vectors	vector	NOUN
ejpam-6439	173	55	of	of	ADP
ejpam-6439	173	56	order	order	NOUN
ejpam-6439	173	57	ds	ds	X
ejpam-6439	173	58	×	×	NOUN
ejpam-6439	173	59	1	1	NUM
ejpam-6439	173	60	,	,	PUNCT
ejpam-6439	173	61	and	and	CCONJ
ejpam-6439	173	62	ds	ds	ADJ
ejpam-6439	173	63	,	,	PUNCT
ejpam-6439	173	64	s	s	PART
ejpam-6439	173	65	=	=	SYM
ejpam-6439	173	66	1	1	NUM
ejpam-6439	173	67	,	,	PUNCT
ejpam-6439	173	68	2	2	NUM
ejpam-6439	173	69	,	,	PUNCT
ejpam-6439	173	70	3	3	NUM
ejpam-6439	173	71	,	,	PUNCT
ejpam-6439	173	72	are	be	AUX
ejpam-6439	173	73	the	the	DET
ejpam-6439	173	74	numbers	number	NOUN
ejpam-6439	173	75	of	of	ADP
ejpam-6439	173	76	degrees	degree	NOUN
ejpam-6439	173	77	of	of	ADP
ejpam-6439	173	78	freedom	freedom	NOUN
ejpam-6439	173	79	for	for	ADP
ejpam-6439	173	80	testing	test	VERB
ejpam-6439	173	81	goodness	goodness	NOUN
ejpam-6439	173	82	-	-	PUNCT
ejpam-6439	173	83	of	of	ADP
ejpam-6439	173	84	-	-	PUNCT
ejpam-6439	173	85	fit	fit	NOUN
ejpam-6439	173	86	of	of	ADP
ejpam-6439	173	87	the	the	DET
ejpam-6439	173	88	aldps	aldps	NOUN
ejpam-6439	173	89	,	,	PUNCT
ejpam-6439	173	90	ame	ame	PROPN
ejpam-6439	173	91	and	and	CCONJ
ejpam-6439	173	92	as	as	ADP
ejpam-6439	173	93	models	model	NOUN
ejpam-6439	173	94	,	,	PUNCT
ejpam-6439	173	95	respectively	respectively	ADV
ejpam-6439	173	96	.	.	PUNCT
ejpam-6439	174	1	let	let	VERB
ejpam-6439	174	2	hs(π	hs(π	NOUN
ejpam-6439	174	3	)	)	PUNCT
ejpam-6439	174	4	,	,	PUNCT
ejpam-6439	174	5	s	s	NOUN
ejpam-6439	174	6	=	=	SYM
ejpam-6439	174	7	1	1	NUM
ejpam-6439	174	8	,	,	PUNCT
ejpam-6439	174	9	2	2	NUM
ejpam-6439	174	10	,	,	PUNCT
ejpam-6439	174	11	3	3	NUM
ejpam-6439	174	12	,	,	PUNCT
ejpam-6439	174	13	denote	denote	VERB
ejpam-6439	174	14	the	the	DET
ejpam-6439	174	15	ds	ds	ADJ
ejpam-6439	174	16	×	×	NOUN
ejpam-6439	174	17	r2	r2	NOUN
ejpam-6439	174	18	matrix	matrix	NOUN
ejpam-6439	174	19	of	of	ADP
ejpam-6439	174	20	partial	partial	ADJ
ejpam-6439	174	21	derivatives	derivative	NOUN
ejpam-6439	174	22	of	of	ADP
ejpam-6439	174	23	hs(π	hs(π	NOUN
ejpam-6439	174	24	)	)	PUNCT
ejpam-6439	174	25	with	with	ADP
ejpam-6439	174	26	respect	respect	NOUN
ejpam-6439	174	27	to	to	ADP
ejpam-6439	174	28	π	π	PROPN
ejpam-6439	174	29	,	,	PUNCT
ejpam-6439	174	30	i.e.	i.e.	X
ejpam-6439	174	31	,	,	PUNCT
ejpam-6439	174	32	hs(π	hs(π	ADJ
ejpam-6439	174	33	)	)	PUNCT
ejpam-6439	174	34	=	=	SYM
ejpam-6439	174	35	∂hs(π)/∂π	∂hs(π)/∂π	PROPN
ejpam-6439	174	36	⊤.	⊤.	NOUN
ejpam-6439	174	37	let	let	VERB
ejpam-6439	174	38	σ(π	σ(π	PROPN
ejpam-6439	174	39	)	)	PUNCT
ejpam-6439	174	40	=	=	SYM
ejpam-6439	174	41	diag(π	diag(π	PROPN
ejpam-6439	174	42	)	)	PUNCT
ejpam-6439	174	43	−	−	NOUN
ejpam-6439	174	44	ππ⊤	ππ⊤	NOUN
ejpam-6439	174	45	,	,	PUNCT
ejpam-6439	174	46	where	where	SCONJ
ejpam-6439	174	47	diag(π	diag(π	NOUN
ejpam-6439	174	48	)	)	PUNCT
ejpam-6439	174	49	denotes	denote	VERB
ejpam-6439	174	50	a	a	DET
ejpam-6439	174	51	diagonal	diagonal	ADJ
ejpam-6439	174	52	matrix	matrix	NOUN
ejpam-6439	174	53	with	with	ADP
ejpam-6439	174	54	ith	ith	PROPN
ejpam-6439	174	55	component	component	NOUN
ejpam-6439	174	56	of	of	ADP
ejpam-6439	174	57	π	π	PROPN
ejpam-6439	174	58	as	as	ADP
ejpam-6439	174	59	ith	ith	PROPN
ejpam-6439	174	60	diagonal	diagonal	ADJ
ejpam-6439	174	61	component	component	NOUN
ejpam-6439	174	62	.	.	PUNCT
ejpam-6439	175	1	let	let	VERB
ejpam-6439	175	2	π̂	π̂	PUNCT
ejpam-6439	175	3	denote	denote	VERB
ejpam-6439	175	4	π	π	PROPN
ejpam-6439	175	5	with	with	ADP
ejpam-6439	175	6	{	{	PUNCT
ejpam-6439	175	7	πij	πij	PROPN
ejpam-6439	175	8	}	}	PUNCT
ejpam-6439	175	9	replaced	replace	VERB
ejpam-6439	175	10	by	by	ADP
ejpam-6439	175	11	{	{	PUNCT
ejpam-6439	175	12	π̂ij	π̂ij	NOUN
ejpam-6439	175	13	}	}	PUNCT
ejpam-6439	175	14	,	,	PUNCT
ejpam-6439	175	15	where	where	SCONJ
ejpam-6439	175	16	π̂ij	π̂ij	NOUN
ejpam-6439	175	17	=	=	SYM
ejpam-6439	175	18	nij	nij	PROPN
ejpam-6439	175	19	/	/	SYM
ejpam-6439	175	20	n	n	NOUN
ejpam-6439	175	21	.	.	PUNCT
ejpam-6439	176	1	then	then	ADV
ejpam-6439	176	2	√	√	PROPN
ejpam-6439	176	3	n(π̂	n(π̂	PROPN
ejpam-6439	176	4	−π	−π	PROPN
ejpam-6439	176	5	)	)	PUNCT
ejpam-6439	176	6	has	have	VERB
ejpam-6439	176	7	asymptotically	asymptotically	ADV
ejpam-6439	176	8	a	a	DET
ejpam-6439	176	9	normal	normal	ADJ
ejpam-6439	176	10	distribution	distribution	NOUN
ejpam-6439	176	11	with	with	ADP
ejpam-6439	176	12	mean	mean	PROPN
ejpam-6439	176	13	0r2	0r2	NOUN
ejpam-6439	176	14	and	and	CCONJ
ejpam-6439	176	15	covariance	covariance	NOUN
ejpam-6439	176	16	matrix	matrix	NOUN
ejpam-6439	176	17	σ(π	σ(π	PROPN
ejpam-6439	176	18	)	)	PUNCT
ejpam-6439	176	19	.	.	PUNCT
ejpam-6439	177	1	using	use	VERB
ejpam-6439	177	2	the	the	DET
ejpam-6439	177	3	delta	delta	NOUN
ejpam-6439	177	4	method	method	NOUN
ejpam-6439	177	5	,	,	PUNCT
ejpam-6439	177	6	√	√	PUNCT
ejpam-6439	177	7	n(h3(π̂)−	n(h3(π̂)−	PROPN
ejpam-6439	177	8	h3(π	h3(π	PROPN
ejpam-6439	177	9	)	)	PUNCT
ejpam-6439	177	10	)	)	PUNCT
ejpam-6439	177	11	is	be	AUX
ejpam-6439	177	12	asymptotically	asymptotically	ADV
ejpam-6439	177	13	distributed	distribute	VERB
ejpam-6439	177	14	to	to	ADP
ejpam-6439	177	15	a	a	DET
ejpam-6439	177	16	normal	normal	ADJ
ejpam-6439	177	17	distribution	distribution	NOUN
ejpam-6439	177	18	with	with	ADP
ejpam-6439	177	19	mean	mean	PROPN
ejpam-6439	177	20	0d3	0d3	X
ejpam-6439	177	21	and	and	CCONJ
ejpam-6439	177	22	covariance	covariance	NOUN
ejpam-6439	177	23	matrix	matrix	NOUN
ejpam-6439	177	24	h3(π)σ(π)h3(π	h3(π)σ(π)h3(π	ADJ
ejpam-6439	177	25	)	)	PUNCT
ejpam-6439	177	26	⊤	⊤	NOUN
ejpam-6439	177	27	=	=	SYM
ejpam-6439	177	28	[	[	PUNCT
ejpam-6439	177	29	h1(π)σ(π)h1(π	h1(π)σ(π)h1(π	NOUN
ejpam-6439	177	30	)	)	PUNCT
ejpam-6439	177	31	⊤	⊤	NOUN
ejpam-6439	177	32	h1(π)σ(π)h2(π	h1(π)σ(π)h2(π	NUM
ejpam-6439	177	33	)	)	PUNCT
ejpam-6439	177	34	⊤	⊤	PROPN
ejpam-6439	177	35	h2(π)σ(π)h1(π	h2(π)σ(π)h1(π	NUM
ejpam-6439	177	36	)	)	PUNCT
ejpam-6439	177	37	⊤	⊤	NOUN
ejpam-6439	177	38	h2(π)σ(π)h2(π	h2(π)σ(π)h2(π	NUM
ejpam-6439	177	39	)	)	PUNCT
ejpam-6439	177	40	⊤	⊤	NOUN
ejpam-6439	177	41	]	]	PUNCT
ejpam-6439	177	42	.	.	PUNCT
ejpam-6439	178	1	we	we	PRON
ejpam-6439	178	2	see	see	VERB
ejpam-6439	178	3	that	that	PRON
ejpam-6439	178	4	h1(π	h1(π	NOUN
ejpam-6439	178	5	)	)	PUNCT
ejpam-6439	178	6	=	=	VERB
ejpam-6439	179	1	u⊤1r2	u⊤1r2	ADJ
ejpam-6439	179	2	=	=	NOUN
ejpam-6439	179	3	0d1	0d1	NUM
ejpam-6439	179	4	since	since	SCONJ
ejpam-6439	179	5	1r2	1r2	NUM
ejpam-6439	179	6	⊂	⊂	PROPN
ejpam-6439	179	7	s(x	s(x	PROPN
ejpam-6439	179	8	)	)	PUNCT
ejpam-6439	179	9	,	,	PUNCT
ejpam-6439	179	10	h1(π)diag(π	h1(π)diag(π	X
ejpam-6439	179	11	)	)	PUNCT
ejpam-6439	179	12	=	=	SYM
ejpam-6439	179	13	u⊤	u⊤	NOUN
ejpam-6439	179	14	and	and	CCONJ
ejpam-6439	179	15	h2(π	h2(π	PROPN
ejpam-6439	179	16	)	)	PUNCT
ejpam-6439	180	1	=	=	SYM
ejpam-6439	180	2	w	w	PROPN
ejpam-6439	180	3	.	.	PUNCT
ejpam-6439	181	1	therefore	therefore	ADV
ejpam-6439	181	2	we	we	PRON
ejpam-6439	181	3	obtain	obtain	VERB
ejpam-6439	181	4	h1(π)σ(π)h2(π	h1(π)σ(π)h2(π	NUM
ejpam-6439	181	5	)	)	PUNCT
ejpam-6439	181	6	⊤	⊤	NOUN
ejpam-6439	181	7	=	=	SYM
ejpam-6439	181	8	u⊤w⊤	u⊤w⊤	PUNCT
ejpam-6439	181	9	=	=	NOUN
ejpam-6439	181	10	0d1	0d1	NUM
ejpam-6439	181	11	.	.	PUNCT
ejpam-6439	182	1	thus	thus	ADV
ejpam-6439	182	2	we	we	PRON
ejpam-6439	182	3	obtain	obtain	VERB
ejpam-6439	182	4	∆3(π̂	∆3(π̂	ADJ
ejpam-6439	182	5	)	)	PUNCT
ejpam-6439	182	6	=	=	SYM
ejpam-6439	182	7	∆1(π̂	∆1(π̂	ADJ
ejpam-6439	182	8	)	)	PUNCT
ejpam-6439	183	1	+	+	SYM
ejpam-6439	183	2	∆2(π̂	∆2(π̂	ADJ
ejpam-6439	183	3	)	)	PUNCT
ejpam-6439	183	4	,	,	PUNCT
ejpam-6439	183	5	where	where	SCONJ
ejpam-6439	183	6	∆s(π̂	∆s(π̂	NOUN
ejpam-6439	183	7	)	)	PUNCT
ejpam-6439	183	8	=	=	SYM
ejpam-6439	183	9	hs(π̂	hs(π̂	ADJ
ejpam-6439	183	10	)	)	PUNCT
ejpam-6439	183	11	⊤	⊤	NOUN
ejpam-6439	183	12	[	[	PUNCT
ejpam-6439	183	13	hs(π̂)σ(π̂)hs(π̂	hs(π̂)σ(π̂)hs(π̂	ADJ
ejpam-6439	183	14	)	)	PUNCT
ejpam-6439	183	15	⊤	⊤	NOUN
ejpam-6439	183	16	]	]	SYM
ejpam-6439	183	17	−1	−1	NOUN
ejpam-6439	183	18	hs(π̂	hs(π̂	ADJ
ejpam-6439	183	19	)	)	PUNCT
ejpam-6439	183	20	.	.	PUNCT
ejpam-6439	184	1	(	(	PUNCT
ejpam-6439	184	2	4	4	X
ejpam-6439	184	3	)	)	PUNCT
ejpam-6439	184	4	under	under	ADP
ejpam-6439	184	5	each	each	DET
ejpam-6439	184	6	hs(p	hs(p	NOUN
ejpam-6439	184	7	)	)	PUNCT
ejpam-6439	184	8	=	=	SYM
ejpam-6439	184	9	0ds	0ds	NOUN
ejpam-6439	184	10	(	(	PUNCT
ejpam-6439	184	11	s	s	NOUN
ejpam-6439	184	12	=	=	SYM
ejpam-6439	184	13	1	1	NUM
ejpam-6439	184	14	,	,	PUNCT
ejpam-6439	184	15	2	2	NUM
ejpam-6439	184	16	,	,	PUNCT
ejpam-6439	184	17	3	3	NUM
ejpam-6439	184	18	)	)	PUNCT
ejpam-6439	184	19	,	,	PUNCT
ejpam-6439	184	20	the	the	DET
ejpam-6439	184	21	wald	wald	PROPN
ejpam-6439	184	22	statistic	statistic	PROPN
ejpam-6439	184	23	n∆s(π̂	n∆s(π̂	PROPN
ejpam-6439	184	24	)	)	PUNCT
ejpam-6439	184	25	has	have	VERB
ejpam-6439	184	26	asymptotically	asymptotically	ADV
ejpam-6439	184	27	a	a	DET
ejpam-6439	184	28	chi	chi	ADV
ejpam-6439	184	29	-	-	PUNCT
ejpam-6439	184	30	squared	square	VERB
ejpam-6439	184	31	distribution	distribution	NOUN
ejpam-6439	184	32	with	with	ADP
ejpam-6439	184	33	ds	ds	ADJ
ejpam-6439	184	34	degrees	degree	NOUN
ejpam-6439	184	35	of	of	ADP
ejpam-6439	184	36	freedom	freedom	NOUN
ejpam-6439	184	37	.	.	PUNCT
ejpam-6439	185	1	from	from	ADP
ejpam-6439	185	2	the	the	DET
ejpam-6439	185	3	equation	equation	NOUN
ejpam-6439	185	4	(	(	PUNCT
ejpam-6439	185	5	4	4	NUM
ejpam-6439	185	6	)	)	PUNCT
ejpam-6439	185	7	,	,	PUNCT
ejpam-6439	185	8	we	we	PRON
ejpam-6439	185	9	see	see	VERB
ejpam-6439	185	10	that	that	PRON
ejpam-6439	185	11	n∆3(π̂	n∆3(π̂	NOUN
ejpam-6439	185	12	)	)	PUNCT
ejpam-6439	185	13	=	=	SYM
ejpam-6439	185	14	n∆1(π̂	n∆1(π̂	ADJ
ejpam-6439	185	15	)	)	PUNCT
ejpam-6439	185	16	+	+	NUM
ejpam-6439	185	17	n∆2(π̂	n∆2(π̂	NUM
ejpam-6439	185	18	)	)	PUNCT
ejpam-6439	185	19	.	.	PUNCT
ejpam-6439	186	1	from	from	ADP
ejpam-6439	186	2	the	the	DET
ejpam-6439	186	3	asymptotic	asymptotic	ADJ
ejpam-6439	186	4	equivalence	equivalence	NOUN
ejpam-6439	186	5	of	of	ADP
ejpam-6439	186	6	the	the	DET
ejpam-6439	186	7	wald	wald	PROPN
ejpam-6439	186	8	statistic	statistic	PROPN
ejpam-6439	186	9	and	and	CCONJ
ejpam-6439	186	10	likelihood	likelihood	NOUN
ejpam-6439	186	11	ratio	ratio	NOUN
ejpam-6439	186	12	statistic	statistic	NOUN
ejpam-6439	186	13	[	[	X
ejpam-6439	186	14	10	10	NUM
ejpam-6439	186	15	]	]	PUNCT
ejpam-6439	186	16	,	,	PUNCT
ejpam-6439	186	17	we	we	PRON
ejpam-6439	186	18	obtain	obtain	VERB
ejpam-6439	186	19	theorem	theorem	ADJ
ejpam-6439	186	20	2	2	NUM
ejpam-6439	186	21	.	.	PUNCT
ejpam-6439	187	1	the	the	DET
ejpam-6439	187	2	proof	proof	NOUN
ejpam-6439	187	3	is	be	AUX
ejpam-6439	187	4	completed	complete	VERB
ejpam-6439	187	5	.	.	PUNCT
ejpam-6439	188	1	s.	s.	PROPN
ejpam-6439	188	2	ando	ando	PROPN
ejpam-6439	188	3	/	/	SYM
ejpam-6439	188	4	eur	eur	PROPN
ejpam-6439	188	5	.	.	PUNCT
ejpam-6439	189	1	j.	j.	PROPN
ejpam-6439	189	2	pure	pure	PROPN
ejpam-6439	189	3	appl	appl	PROPN
ejpam-6439	189	4	.	.	PROPN
ejpam-6439	189	5	math	math	PROPN
ejpam-6439	189	6	,	,	PUNCT
ejpam-6439	189	7	18	18	NUM
ejpam-6439	189	8	(	(	PUNCT
ejpam-6439	189	9	4	4	NUM
ejpam-6439	189	10	)	)	PUNCT
ejpam-6439	189	11	(	(	PUNCT
ejpam-6439	189	12	2025	2025	NUM
ejpam-6439	189	13	)	)	PUNCT
ejpam-6439	189	14	,	,	PUNCT
ejpam-6439	189	15	6439	6439	NUM
ejpam-6439	189	16	9	9	NUM
ejpam-6439	189	17	of	of	ADP
ejpam-6439	189	18	13	13	NUM
ejpam-6439	189	19	table	table	NOUN
ejpam-6439	189	20	3	3	NUM
ejpam-6439	189	21	:	:	PUNCT
ejpam-6439	189	22	the	the	DET
ejpam-6439	189	23	grip	grip	NOUN
ejpam-6439	189	24	strength	strength	NOUN
ejpam-6439	189	25	test	test	NOUN
ejpam-6439	189	26	dataset	dataset	VERB
ejpam-6439	189	27	for	for	ADP
ejpam-6439	189	28	men	man	NOUN
ejpam-6439	189	29	between	between	ADP
ejpam-6439	189	30	the	the	DET
ejpam-6439	189	31	ages	age	NOUN
ejpam-6439	189	32	of	of	ADP
ejpam-6439	189	33	15	15	NUM
ejpam-6439	189	34	and	and	CCONJ
ejpam-6439	189	35	69	69	NUM
ejpam-6439	189	36	left	leave	VERB
ejpam-6439	189	37	hand	hand	NOUN
ejpam-6439	189	38	right	right	ADJ
ejpam-6439	189	39	hand	hand	NOUN
ejpam-6439	189	40	(	(	PUNCT
ejpam-6439	189	41	1	1	NUM
ejpam-6439	189	42	)	)	PUNCT
ejpam-6439	189	43	(	(	PUNCT
ejpam-6439	189	44	2	2	NUM
ejpam-6439	189	45	)	)	PUNCT
ejpam-6439	189	46	(	(	PUNCT
ejpam-6439	189	47	3	3	X
ejpam-6439	189	48	)	)	PUNCT
ejpam-6439	189	49	(	(	PUNCT
ejpam-6439	189	50	4	4	NUM
ejpam-6439	189	51	)	)	PUNCT
ejpam-6439	189	52	(	(	PUNCT
ejpam-6439	189	53	5	5	X
ejpam-6439	189	54	)	)	PUNCT
ejpam-6439	189	55	total	total	NOUN
ejpam-6439	189	56	highest	high	ADJ
ejpam-6439	189	57	(	(	PUNCT
ejpam-6439	189	58	1	1	NUM
ejpam-6439	189	59	)	)	PUNCT
ejpam-6439	189	60	215	215	NUM
ejpam-6439	189	61	124	124	NUM
ejpam-6439	189	62	46	46	NUM
ejpam-6439	189	63	14	14	NUM
ejpam-6439	189	64	2	2	NUM
ejpam-6439	189	65	401	401	NUM
ejpam-6439	189	66	(	(	PUNCT
ejpam-6439	189	67	2	2	NUM
ejpam-6439	189	68	)	)	PUNCT
ejpam-6439	189	69	37	37	NUM
ejpam-6439	189	70	143	143	NUM
ejpam-6439	189	71	165	165	NUM
ejpam-6439	189	72	74	74	NUM
ejpam-6439	189	73	16	16	NUM
ejpam-6439	189	74	435	435	NUM
ejpam-6439	189	75	(	(	PUNCT
ejpam-6439	189	76	3	3	NUM
ejpam-6439	189	77	)	)	PUNCT
ejpam-6439	189	78	7	7	NUM
ejpam-6439	189	79	45	45	NUM
ejpam-6439	189	80	156	156	NUM
ejpam-6439	189	81	166	166	NUM
ejpam-6439	189	82	51	51	NUM
ejpam-6439	189	83	425	425	NUM
ejpam-6439	189	84	(	(	PUNCT
ejpam-6439	189	85	4	4	NUM
ejpam-6439	189	86	)	)	SYM
ejpam-6439	189	87	2	2	NUM
ejpam-6439	189	88	20	20	NUM
ejpam-6439	189	89	62	62	NUM
ejpam-6439	189	90	226	226	NUM
ejpam-6439	189	91	210	210	NUM
ejpam-6439	189	92	520	520	NUM
ejpam-6439	189	93	lowest	low	ADJ
ejpam-6439	189	94	(	(	PUNCT
ejpam-6439	189	95	5	5	NUM
ejpam-6439	189	96	)	)	SYM
ejpam-6439	189	97	1	1	NUM
ejpam-6439	189	98	2	2	NUM
ejpam-6439	189	99	16	16	NUM
ejpam-6439	189	100	61	61	NUM
ejpam-6439	189	101	495	495	NUM
ejpam-6439	189	102	575	575	NUM
ejpam-6439	189	103	total	total	NOUN
ejpam-6439	189	104	262	262	NUM
ejpam-6439	189	105	334	334	NUM
ejpam-6439	189	106	445	445	NUM
ejpam-6439	189	107	541	541	NUM
ejpam-6439	189	108	774	774	NUM
ejpam-6439	189	109	2356	2356	NUM
ejpam-6439	189	110	source	source	NOUN
ejpam-6439	189	111	:	:	PUNCT
ejpam-6439	189	112	yamamoto	yamamoto	PROPN
ejpam-6439	189	113	,	,	PUNCT
ejpam-6439	189	114	aizawa	aizawa	PROPN
ejpam-6439	189	115	and	and	CCONJ
ejpam-6439	189	116	tomizawa	tomizawa	PROPN
ejpam-6439	190	1	[	[	X
ejpam-6439	190	2	14	14	NUM
ejpam-6439	190	3	]	]	SYM
ejpam-6439	190	4	5	5	NUM
ejpam-6439	190	5	.	.	X
ejpam-6439	190	6	real	real	ADJ
ejpam-6439	190	7	data	datum	NOUN
ejpam-6439	190	8	analysis	analysis	NOUN
ejpam-6439	190	9	we	we	PRON
ejpam-6439	190	10	examine	examine	VERB
ejpam-6439	190	11	the	the	DET
ejpam-6439	190	12	dataset	dataset	NOUN
ejpam-6439	190	13	presented	present	VERB
ejpam-6439	190	14	in	in	ADP
ejpam-6439	190	15	table	table	NOUN
ejpam-6439	190	16	3	3	NUM
ejpam-6439	190	17	,	,	PUNCT
ejpam-6439	190	18	which	which	PRON
ejpam-6439	190	19	is	be	AUX
ejpam-6439	190	20	taken	take	VERB
ejpam-6439	190	21	directly	directly	ADV
ejpam-6439	190	22	from	from	ADP
ejpam-6439	190	23	yamamoto	yamamoto	PROPN
ejpam-6439	190	24	,	,	PUNCT
ejpam-6439	190	25	aizawa	aizawa	PROPN
ejpam-6439	190	26	,	,	PUNCT
ejpam-6439	190	27	and	and	CCONJ
ejpam-6439	190	28	tomizawa	tomizawa	PROPN
ejpam-6439	191	1	[	[	X
ejpam-6439	191	2	14	14	NUM
ejpam-6439	191	3	]	]	PUNCT
ejpam-6439	191	4	.	.	PUNCT
ejpam-6439	192	1	this	this	DET
ejpam-6439	192	2	dataset	dataset	NOUN
ejpam-6439	192	3	summarizes	summarize	VERB
ejpam-6439	192	4	the	the	DET
ejpam-6439	192	5	results	result	NOUN
ejpam-6439	192	6	of	of	ADP
ejpam-6439	192	7	grip	grip	NOUN
ejpam-6439	192	8	strength	strength	NOUN
ejpam-6439	192	9	measurements	measurement	NOUN
ejpam-6439	192	10	conducted	conduct	VERB
ejpam-6439	192	11	on	on	ADP
ejpam-6439	192	12	a	a	DET
ejpam-6439	192	13	cohort	cohort	NOUN
ejpam-6439	192	14	of	of	ADP
ejpam-6439	192	15	2,356	2,356	NUM
ejpam-6439	192	16	men	man	NOUN
ejpam-6439	192	17	aged	age	VERB
ejpam-6439	192	18	15	15	NUM
ejpam-6439	192	19	to	to	PART
ejpam-6439	192	20	69	69	NUM
ejpam-6439	192	21	years	year	NOUN
ejpam-6439	192	22	,	,	PUNCT
ejpam-6439	192	23	as	as	ADP
ejpam-6439	192	24	part	part	NOUN
ejpam-6439	192	25	of	of	ADP
ejpam-6439	192	26	the	the	DET
ejpam-6439	192	27	national	national	ADJ
ejpam-6439	192	28	health	health	PROPN
ejpam-6439	192	29	and	and	CCONJ
ejpam-6439	192	30	nutrition	nutrition	NOUN
ejpam-6439	192	31	examination	examination	NOUN
ejpam-6439	192	32	survey	survey	NOUN
ejpam-6439	192	33	(	(	PUNCT
ejpam-6439	192	34	nhanes	nhane	NOUN
ejpam-6439	192	35	)	)	PUNCT
ejpam-6439	192	36	conducted	conduct	VERB
ejpam-6439	192	37	in	in	ADP
ejpam-6439	192	38	2011–2012	2011–2012	NUM
ejpam-6439	192	39	.	.	PUNCT
ejpam-6439	193	1	grip	grip	NOUN
ejpam-6439	193	2	strength	strength	NOUN
ejpam-6439	193	3	for	for	ADP
ejpam-6439	193	4	the	the	DET
ejpam-6439	193	5	right	right	NOUN
ejpam-6439	193	6	and	and	CCONJ
ejpam-6439	193	7	left	leave	VERB
ejpam-6439	193	8	hands	hand	NOUN
ejpam-6439	193	9	is	be	AUX
ejpam-6439	193	10	categorized	categorize	VERB
ejpam-6439	193	11	according	accord	VERB
ejpam-6439	193	12	to	to	ADP
ejpam-6439	193	13	the	the	DET
ejpam-6439	193	14	nhanes	nhane	NOUN
ejpam-6439	193	15	manual	manual	NOUN
ejpam-6439	193	16	.	.	PUNCT
ejpam-6439	194	1	in	in	ADP
ejpam-6439	194	2	the	the	DET
ejpam-6439	194	3	case	case	NOUN
ejpam-6439	194	4	of	of	ADP
ejpam-6439	194	5	grip	grip	NOUN
ejpam-6439	194	6	strength	strength	NOUN
ejpam-6439	194	7	data	datum	NOUN
ejpam-6439	194	8	,	,	PUNCT
ejpam-6439	194	9	such	such	ADJ
ejpam-6439	194	10	as	as	ADP
ejpam-6439	194	11	that	that	PRON
ejpam-6439	194	12	presented	present	VERB
ejpam-6439	194	13	in	in	ADP
ejpam-6439	194	14	table	table	NOUN
ejpam-6439	194	15	3	3	NUM
ejpam-6439	194	16	,	,	PUNCT
ejpam-6439	194	17	symmetry	symmetry	NOUN
ejpam-6439	194	18	or	or	CCONJ
ejpam-6439	194	19	asymmetry	asymmetry	NOUN
ejpam-6439	194	20	between	between	ADP
ejpam-6439	194	21	right	right	ADV
ejpam-6439	194	22	and	and	CCONJ
ejpam-6439	194	23	left	leave	VERB
ejpam-6439	194	24	hand	hand	NOUN
ejpam-6439	194	25	grip	grip	NOUN
ejpam-6439	194	26	strength	strength	NOUN
ejpam-6439	194	27	may	may	AUX
ejpam-6439	194	28	be	be	AUX
ejpam-6439	194	29	of	of	ADP
ejpam-6439	194	30	less	less	ADJ
ejpam-6439	194	31	concern	concern	NOUN
ejpam-6439	194	32	.	.	PUNCT
ejpam-6439	195	1	this	this	PRON
ejpam-6439	195	2	is	be	AUX
ejpam-6439	195	3	because	because	SCONJ
ejpam-6439	195	4	the	the	DET
ejpam-6439	195	5	dominant	dominant	ADJ
ejpam-6439	195	6	hand	hand	NOUN
ejpam-6439	195	7	typically	typically	ADV
ejpam-6439	195	8	exhibits	exhibit	VERB
ejpam-6439	195	9	greater	great	ADJ
ejpam-6439	195	10	grip	grip	NOUN
ejpam-6439	195	11	strength	strength	NOUN
ejpam-6439	195	12	than	than	ADP
ejpam-6439	195	13	the	the	DET
ejpam-6439	195	14	non	non	ADJ
ejpam-6439	195	15	-	-	ADJ
ejpam-6439	195	16	dominant	dominant	ADJ
ejpam-6439	195	17	hand	hand	NOUN
ejpam-6439	195	18	,	,	PUNCT
ejpam-6439	195	19	with	with	ADP
ejpam-6439	195	20	the	the	DET
ejpam-6439	195	21	majority	majority	NOUN
ejpam-6439	195	22	of	of	ADP
ejpam-6439	195	23	individuals	individual	NOUN
ejpam-6439	195	24	being	be	AUX
ejpam-6439	195	25	right	right	ADJ
ejpam-6439	195	26	-	-	PUNCT
ejpam-6439	195	27	handed	handed	ADJ
ejpam-6439	195	28	,	,	PUNCT
ejpam-6439	195	29	as	as	SCONJ
ejpam-6439	195	30	reported	report	VERB
ejpam-6439	195	31	by	by	ADP
ejpam-6439	195	32	an	an	DET
ejpam-6439	195	33	intage	intage	NOUN
ejpam-6439	195	34	group	group	NOUN
ejpam-6439	195	35	selfadministered	selfadministere	VERB
ejpam-6439	195	36	survey	survey	NOUN
ejpam-6439	195	37	(	(	PUNCT
ejpam-6439	195	38	https://gallery.intage.co.jp/smartphone-operation/	https://gallery.intage.co.jp/smartphone-operation/	PROPN
ejpam-6439	195	39	)	)	PUNCT
ejpam-6439	195	40	.	.	PUNCT
ejpam-6439	196	1	furthermore	furthermore	ADV
ejpam-6439	196	2	,	,	PUNCT
ejpam-6439	196	3	iki	iki	PROPN
ejpam-6439	197	1	[	[	X
ejpam-6439	197	2	5	5	NUM
ejpam-6439	197	3	]	]	PUNCT
ejpam-6439	197	4	and	and	CCONJ
ejpam-6439	197	5	ando	ando	X
ejpam-6439	198	1	[	[	X
ejpam-6439	198	2	7	7	NUM
ejpam-6439	198	3	,	,	PUNCT
ejpam-6439	198	4	15	15	NUM
ejpam-6439	198	5	,	,	PUNCT
ejpam-6439	198	6	16	16	NUM
ejpam-6439	198	7	]	]	PUNCT
ejpam-6439	198	8	analyzed	analyze	VERB
ejpam-6439	198	9	grip	grip	NOUN
ejpam-6439	198	10	strength	strength	NOUN
ejpam-6439	198	11	data	datum	NOUN
ejpam-6439	198	12	using	use	VERB
ejpam-6439	198	13	models	model	NOUN
ejpam-6439	198	14	in	in	ADP
ejpam-6439	198	15	which	which	PRON
ejpam-6439	198	16	the	the	DET
ejpam-6439	198	17	relationship	relationship	NOUN
ejpam-6439	198	18	between	between	ADP
ejpam-6439	198	19	the	the	DET
ejpam-6439	198	20	row	row	NOUN
ejpam-6439	198	21	and	and	CCONJ
ejpam-6439	198	22	column	column	NOUN
ejpam-6439	198	23	variables	variable	NOUN
ejpam-6439	198	24	is	be	AUX
ejpam-6439	198	25	symmetric	symmetric	ADJ
ejpam-6439	198	26	or	or	CCONJ
ejpam-6439	198	27	asymmetric	asymmetric	ADJ
ejpam-6439	198	28	with	with	ADP
ejpam-6439	198	29	respect	respect	NOUN
ejpam-6439	198	30	to	to	ADP
ejpam-6439	198	31	the	the	DET
ejpam-6439	198	32	anti	anti	ADJ
ejpam-6439	198	33	-	-	ADJ
ejpam-6439	198	34	diagonal	diagonal	ADJ
ejpam-6439	198	35	of	of	ADP
ejpam-6439	198	36	the	the	DET
ejpam-6439	198	37	table	table	NOUN
ejpam-6439	198	38	,	,	PUNCT
ejpam-6439	198	39	rather	rather	ADV
ejpam-6439	198	40	than	than	ADP
ejpam-6439	198	41	the	the	DET
ejpam-6439	198	42	main	main	ADJ
ejpam-6439	198	43	diagonal	diagonal	NOUN
ejpam-6439	198	44	.	.	PUNCT
ejpam-6439	199	1	accordingly	accordingly	ADV
ejpam-6439	199	2	,	,	PUNCT
ejpam-6439	199	3	we	we	PRON
ejpam-6439	199	4	are	be	AUX
ejpam-6439	199	5	interested	interested	ADJ
ejpam-6439	199	6	in	in	ADP
ejpam-6439	199	7	applying	apply	VERB
ejpam-6439	199	8	the	the	PRON
ejpam-6439	199	9	as	as	ADP
ejpam-6439	199	10	,	,	PUNCT
ejpam-6439	199	11	acs	acs	PROPN
ejpam-6439	199	12	,	,	PUNCT
ejpam-6439	199	13	adps	adps	NOUN
ejpam-6439	199	14	,	,	PUNCT
ejpam-6439	199	15	and	and	CCONJ
ejpam-6439	199	16	aldps	aldps	NOUN
ejpam-6439	199	17	models	model	NOUN
ejpam-6439	199	18	to	to	ADP
ejpam-6439	199	19	the	the	DET
ejpam-6439	199	20	dataset	dataset	NOUN
ejpam-6439	199	21	in	in	ADP
ejpam-6439	199	22	table	table	NOUN
ejpam-6439	199	23	3	3	NUM
ejpam-6439	199	24	.	.	PUNCT
ejpam-6439	199	25	when	when	SCONJ
ejpam-6439	199	26	models	model	NOUN
ejpam-6439	199	27	m1	m1	PROPN
ejpam-6439	199	28	and	and	CCONJ
ejpam-6439	199	29	m2	m2	PROPN
ejpam-6439	199	30	are	be	AUX
ejpam-6439	199	31	nested	nest	VERB
ejpam-6439	199	32	(	(	PUNCT
ejpam-6439	199	33	i.e.	i.e.	X
ejpam-6439	199	34	,	,	PUNCT
ejpam-6439	199	35	model	model	NOUN
ejpam-6439	199	36	m1	m1	PROPN
ejpam-6439	199	37	is	be	AUX
ejpam-6439	199	38	more	more	ADV
ejpam-6439	199	39	parsimonious	parsimonious	ADJ
ejpam-6439	199	40	than	than	ADP
ejpam-6439	199	41	model	model	NOUN
ejpam-6439	199	42	m2	m2	PROPN
ejpam-6439	199	43	)	)	PUNCT
ejpam-6439	199	44	,	,	PUNCT
ejpam-6439	199	45	the	the	DET
ejpam-6439	199	46	likelihood	likelihood	NOUN
ejpam-6439	199	47	ratio	ratio	NOUN
ejpam-6439	199	48	statistic	statistic	NOUN
ejpam-6439	199	49	for	for	ADP
ejpam-6439	199	50	testing	test	VERB
ejpam-6439	199	51	whether	whether	SCONJ
ejpam-6439	199	52	model	model	NOUN
ejpam-6439	199	53	m1	m1	PROPN
ejpam-6439	199	54	holds	hold	VERB
ejpam-6439	199	55	under	under	ADP
ejpam-6439	199	56	the	the	DET
ejpam-6439	199	57	assumption	assumption	NOUN
ejpam-6439	199	58	that	that	SCONJ
ejpam-6439	199	59	model	model	NOUN
ejpam-6439	199	60	m2	m2	PROPN
ejpam-6439	199	61	is	be	AUX
ejpam-6439	199	62	true	true	ADJ
ejpam-6439	199	63	is	be	AUX
ejpam-6439	199	64	given	give	VERB
ejpam-6439	199	65	by	by	ADP
ejpam-6439	199	66	g2(m1	g2(m1	NOUN
ejpam-6439	199	67	|	|	ADV
ejpam-6439	199	68	m2	m2	PROPN
ejpam-6439	199	69	)	)	PUNCT
ejpam-6439	199	70	=	=	PUNCT
ejpam-6439	199	71	g2(m1)−g2(m2	g2(m1)−g2(m2	NOUN
ejpam-6439	199	72	)	)	PUNCT
ejpam-6439	199	73	.	.	PUNCT
ejpam-6439	200	1	under	under	ADP
ejpam-6439	200	2	the	the	DET
ejpam-6439	200	3	null	null	ADJ
ejpam-6439	200	4	hypothesis	hypothesis	NOUN
ejpam-6439	200	5	,	,	PUNCT
ejpam-6439	200	6	the	the	DET
ejpam-6439	200	7	statistic	statistic	NOUN
ejpam-6439	200	8	g2(m1	g2(m1	VERB
ejpam-6439	200	9	|	|	ADV
ejpam-6439	200	10	m2	m2	PROPN
ejpam-6439	200	11	)	)	PUNCT
ejpam-6439	200	12	asymptotically	asymptotically	ADV
ejpam-6439	200	13	follows	follow	VERB
ejpam-6439	200	14	a	a	DET
ejpam-6439	200	15	chi	chi	ADJ
ejpam-6439	200	16	-	-	PUNCT
ejpam-6439	200	17	squared	square	VERB
ejpam-6439	200	18	distribution	distribution	NOUN
ejpam-6439	200	19	with	with	ADP
ejpam-6439	200	20	the	the	DET
ejpam-6439	200	21	number	number	NOUN
ejpam-6439	200	22	of	of	ADP
ejpam-6439	200	23	degrees	degree	NOUN
ejpam-6439	200	24	of	of	ADP
ejpam-6439	200	25	freedom	freedom	NOUN
ejpam-6439	200	26	equal	equal	ADJ
ejpam-6439	200	27	to	to	ADP
ejpam-6439	200	28	the	the	DET
ejpam-6439	200	29	difference	difference	NOUN
ejpam-6439	200	30	in	in	ADP
ejpam-6439	200	31	the	the	DET
ejpam-6439	200	32	number	number	NOUN
ejpam-6439	200	33	of	of	ADP
ejpam-6439	200	34	degrees	degree	NOUN
ejpam-6439	200	35	of	of	ADP
ejpam-6439	200	36	freedom	freedom	NOUN
ejpam-6439	200	37	between	between	ADP
ejpam-6439	200	38	models	model	NOUN
ejpam-6439	200	39	m1	m1	PROPN
ejpam-6439	200	40	and	and	CCONJ
ejpam-6439	200	41	m2	m2	PROPN
ejpam-6439	200	42	;	;	PUNCT
ejpam-6439	200	43	see	see	VERB
ejpam-6439	200	44	,	,	PUNCT
ejpam-6439	200	45	for	for	ADP
ejpam-6439	200	46	example	example	NOUN
ejpam-6439	200	47	,	,	PUNCT
ejpam-6439	200	48	agresti	agresti	NOUN
ejpam-6439	200	49	[	[	X
ejpam-6439	200	50	17	17	NUM
ejpam-6439	200	51	,	,	PUNCT
ejpam-6439	200	52	sec	sec	PROPN
ejpam-6439	200	53	.	.	PROPN
ejpam-6439	200	54	3.4.4	3.4.4	NUM
ejpam-6439	200	55	]	]	PUNCT
ejpam-6439	200	56	.	.	PUNCT
ejpam-6439	201	1	when	when	SCONJ
ejpam-6439	201	2	models	model	NOUN
ejpam-6439	201	3	m1	m1	PROPN
ejpam-6439	201	4	and	and	CCONJ
ejpam-6439	201	5	m2	m2	PROPN
ejpam-6439	201	6	are	be	AUX
ejpam-6439	201	7	not	not	PART
ejpam-6439	201	8	nested	nest	VERB
ejpam-6439	201	9	,	,	PUNCT
ejpam-6439	201	10	the	the	DET
ejpam-6439	201	11	statistic	statistic	NOUN
ejpam-6439	201	12	g2(m1	g2(m1	VERB
ejpam-6439	201	13	|	|	ADV
ejpam-6439	201	14	m2	m2	PROPN
ejpam-6439	201	15	)	)	PUNCT
ejpam-6439	201	16	can	can	AUX
ejpam-6439	201	17	not	not	PART
ejpam-6439	201	18	be	be	AUX
ejpam-6439	201	19	used	use	VERB
ejpam-6439	201	20	for	for	ADP
ejpam-6439	201	21	model	model	NOUN
ejpam-6439	201	22	comparison	comparison	NOUN
ejpam-6439	201	23	.	.	PUNCT
ejpam-6439	202	1	in	in	ADP
ejpam-6439	202	2	such	such	ADJ
ejpam-6439	202	3	cases	case	NOUN
ejpam-6439	202	4	,	,	PUNCT
ejpam-6439	202	5	alternative	alternative	ADJ
ejpam-6439	202	6	criteria	criterion	NOUN
ejpam-6439	202	7	are	be	AUX
ejpam-6439	202	8	required	require	VERB
ejpam-6439	202	9	.	.	PUNCT
ejpam-6439	203	1	among	among	ADP
ejpam-6439	203	2	the	the	DET
ejpam-6439	203	3	most	most	ADV
ejpam-6439	203	4	widely	widely	ADV
ejpam-6439	203	5	used	use	VERB
ejpam-6439	203	6	are	be	AUX
ejpam-6439	203	7	the	the	DET
ejpam-6439	203	8	akaike	akaike	ADJ
ejpam-6439	203	9	information	information	NOUN
ejpam-6439	203	10	criterion	criterion	NOUN
ejpam-6439	203	11	(	(	PUNCT
ejpam-6439	203	12	aic	aic	PROPN
ejpam-6439	203	13	)	)	PUNCT
ejpam-6439	204	1	[	[	X
ejpam-6439	204	2	18	18	NUM
ejpam-6439	204	3	]	]	PUNCT
ejpam-6439	204	4	and	and	CCONJ
ejpam-6439	204	5	the	the	DET
ejpam-6439	204	6	bayesian	bayesian	ADJ
ejpam-6439	204	7	information	information	NOUN
ejpam-6439	204	8	criterion	criterion	NOUN
ejpam-6439	204	9	(	(	PUNCT
ejpam-6439	204	10	bic	bic	PROPN
ejpam-6439	204	11	)	)	PUNCT
ejpam-6439	205	1	[	[	X
ejpam-6439	205	2	19	19	NUM
ejpam-6439	205	3	]	]	X
ejpam-6439	205	4	,	,	PUNCT
ejpam-6439	205	5	both	both	PRON
ejpam-6439	205	6	of	of	ADP
ejpam-6439	205	7	which	which	PRON
ejpam-6439	205	8	are	be	AUX
ejpam-6439	205	9	used	use	VERB
ejpam-6439	205	10	to	to	PART
ejpam-6439	205	11	identify	identify	VERB
ejpam-6439	205	12	the	the	DET
ejpam-6439	205	13	best	well	ADV
ejpam-6439	205	14	-	-	PUNCT
ejpam-6439	205	15	fitting	fit	VERB
ejpam-6439	205	16	model	model	NOUN
ejpam-6439	205	17	among	among	ADP
ejpam-6439	205	18	competing	compete	VERB
ejpam-6439	205	19	candidates	candidate	NOUN
ejpam-6439	205	20	.	.	PUNCT
ejpam-6439	206	1	the	the	DET
ejpam-6439	206	2	model	model	NOUN
ejpam-6439	206	3	with	with	ADP
ejpam-6439	206	4	the	the	DET
ejpam-6439	206	5	minimum	minimum	NOUN
ejpam-6439	206	6	aic	aic	PROPN
ejpam-6439	206	7	or	or	CCONJ
ejpam-6439	206	8	bic	bic	PROPN
ejpam-6439	206	9	is	be	AUX
ejpam-6439	206	10	considered	consider	VERB
ejpam-6439	206	11	the	the	DET
ejpam-6439	206	12	bestfitting	bestfitting	NOUN
ejpam-6439	206	13	model	model	NOUN
ejpam-6439	206	14	.	.	PUNCT
ejpam-6439	207	1	since	since	SCONJ
ejpam-6439	207	2	only	only	ADV
ejpam-6439	207	3	the	the	DET
ejpam-6439	207	4	difference	difference	NOUN
ejpam-6439	207	5	between	between	ADP
ejpam-6439	207	6	aic	aic	PROPN
ejpam-6439	207	7	(	(	PUNCT
ejpam-6439	207	8	or	or	CCONJ
ejpam-6439	207	9	bic	bic	NOUN
ejpam-6439	207	10	)	)	PUNCT
ejpam-6439	207	11	values	value	NOUN
ejpam-6439	207	12	is	be	AUX
ejpam-6439	207	13	required	require	VERB
ejpam-6439	207	14	for	for	ADP
ejpam-6439	207	15	comparison	comparison	NOUN
ejpam-6439	207	16	,	,	PUNCT
ejpam-6439	207	17	the	the	DET
ejpam-6439	207	18	constant	constant	ADJ
ejpam-6439	207	19	part	part	NOUN
ejpam-6439	207	20	can	can	AUX
ejpam-6439	207	21	be	be	AUX
ejpam-6439	207	22	omitted	omit	VERB
ejpam-6439	207	23	.	.	PUNCT
ejpam-6439	208	1	therefore	therefore	ADV
ejpam-6439	208	2	,	,	PUNCT
ejpam-6439	208	3	we	we	PRON
ejpam-6439	208	4	define	define	VERB
ejpam-6439	208	5	the	the	DET
ejpam-6439	208	6	modified	modified	ADJ
ejpam-6439	208	7	aic	aic	PROPN
ejpam-6439	208	8	and	and	CCONJ
ejpam-6439	208	9	s.	s.	PROPN
ejpam-6439	208	10	ando	ando	PROPN
ejpam-6439	208	11	/	/	SYM
ejpam-6439	208	12	eur	eur	PROPN
ejpam-6439	208	13	.	.	PUNCT
ejpam-6439	209	1	j.	j.	PROPN
ejpam-6439	209	2	pure	pure	PROPN
ejpam-6439	209	3	appl	appl	PROPN
ejpam-6439	209	4	.	.	PROPN
ejpam-6439	209	5	math	math	PROPN
ejpam-6439	209	6	,	,	PUNCT
ejpam-6439	209	7	18	18	NUM
ejpam-6439	209	8	(	(	PUNCT
ejpam-6439	209	9	4	4	NUM
ejpam-6439	209	10	)	)	PUNCT
ejpam-6439	209	11	(	(	PUNCT
ejpam-6439	209	12	2025	2025	NUM
ejpam-6439	209	13	)	)	PUNCT
ejpam-6439	209	14	,	,	PUNCT
ejpam-6439	209	15	6439	6439	NUM
ejpam-6439	209	16	10	10	NUM
ejpam-6439	209	17	of	of	ADP
ejpam-6439	209	18	13	13	NUM
ejpam-6439	209	19	bic	bic	NOUN
ejpam-6439	209	20	as	as	SCONJ
ejpam-6439	209	21	follows	follow	VERB
ejpam-6439	209	22	:	:	PUNCT
ejpam-6439	209	23	aic+	aic+	PROPN
ejpam-6439	209	24	=	=	PUNCT
ejpam-6439	209	25	g2	g2	PROPN
ejpam-6439	209	26	−	−	PROPN
ejpam-6439	209	27	2×	2×	NUM
ejpam-6439	209	28	(	(	PUNCT
ejpam-6439	209	29	number	number	NOUN
ejpam-6439	209	30	of	of	ADP
ejpam-6439	209	31	degrees	degree	NOUN
ejpam-6439	209	32	of	of	ADP
ejpam-6439	209	33	freedom	freedom	NOUN
ejpam-6439	209	34	)	)	PUNCT
ejpam-6439	209	35	,	,	PUNCT
ejpam-6439	210	1	bic+	bic+	PROPN
ejpam-6439	210	2	=	=	PROPN
ejpam-6439	210	3	g2	g2	PROPN
ejpam-6439	210	4	−	−	PROPN
ejpam-6439	210	5	logn	logn	VERB
ejpam-6439	210	6	×	×	NOUN
ejpam-6439	210	7	(	(	PUNCT
ejpam-6439	210	8	number	number	NOUN
ejpam-6439	210	9	of	of	ADP
ejpam-6439	210	10	degrees	degree	NOUN
ejpam-6439	210	11	of	of	ADP
ejpam-6439	210	12	freedom	freedom	NOUN
ejpam-6439	210	13	)	)	PUNCT
ejpam-6439	210	14	,	,	PUNCT
ejpam-6439	210	15	where	where	SCONJ
ejpam-6439	210	16	n	n	PRON
ejpam-6439	210	17	denotes	denote	VERB
ejpam-6439	210	18	the	the	DET
ejpam-6439	210	19	sample	sample	NOUN
ejpam-6439	210	20	size	size	NOUN
ejpam-6439	210	21	.	.	PUNCT
ejpam-6439	211	1	the	the	DET
ejpam-6439	211	2	model	model	NOUN
ejpam-6439	211	3	with	with	ADP
ejpam-6439	211	4	the	the	DET
ejpam-6439	211	5	smallest	small	ADJ
ejpam-6439	211	6	aic+	aic+	NOUN
ejpam-6439	211	7	or	or	CCONJ
ejpam-6439	211	8	bic+	bic+	PROPN
ejpam-6439	211	9	is	be	AUX
ejpam-6439	211	10	selected	select	VERB
ejpam-6439	211	11	as	as	ADP
ejpam-6439	211	12	the	the	DET
ejpam-6439	211	13	best	well	ADV
ejpam-6439	211	14	-	-	PUNCT
ejpam-6439	211	15	fitting	fit	VERB
ejpam-6439	211	16	model	model	NOUN
ejpam-6439	211	17	among	among	ADP
ejpam-6439	211	18	the	the	DET
ejpam-6439	211	19	models	model	NOUN
ejpam-6439	211	20	under	under	ADP
ejpam-6439	211	21	consideration	consideration	NOUN
ejpam-6439	211	22	.	.	PUNCT
ejpam-6439	212	1	table	table	NOUN
ejpam-6439	212	2	4	4	NUM
ejpam-6439	212	3	provides	provide	VERB
ejpam-6439	212	4	the	the	DET
ejpam-6439	212	5	values	value	NOUN
ejpam-6439	212	6	of	of	ADP
ejpam-6439	212	7	g2	g2	PROPN
ejpam-6439	212	8	and	and	CCONJ
ejpam-6439	212	9	aic+	aic+	PROPN
ejpam-6439	212	10	for	for	ADP
ejpam-6439	212	11	the	the	DET
ejpam-6439	212	12	as	as	ADP
ejpam-6439	212	13	,	,	PUNCT
ejpam-6439	212	14	acs	acs	PROPN
ejpam-6439	212	15	,	,	PUNCT
ejpam-6439	212	16	adps	adps	NOUN
ejpam-6439	212	17	,	,	PUNCT
ejpam-6439	212	18	aldps	aldps	ADJ
ejpam-6439	212	19	,	,	PUNCT
ejpam-6439	212	20	and	and	CCONJ
ejpam-6439	212	21	ame	ame	PROPN
ejpam-6439	212	22	models	model	NOUN
ejpam-6439	212	23	applied	apply	VERB
ejpam-6439	212	24	to	to	ADP
ejpam-6439	212	25	the	the	DET
ejpam-6439	212	26	dataset	dataset	NOUN
ejpam-6439	212	27	in	in	ADP
ejpam-6439	212	28	table	table	NOUN
ejpam-6439	212	29	3	3	NUM
ejpam-6439	212	30	.	.	PUNCT
ejpam-6439	212	31	from	from	ADP
ejpam-6439	212	32	table	table	NOUN
ejpam-6439	212	33	4	4	NUM
ejpam-6439	212	34	,	,	PUNCT
ejpam-6439	212	35	we	we	PRON
ejpam-6439	212	36	observe	observe	VERB
ejpam-6439	212	37	that	that	SCONJ
ejpam-6439	212	38	the	the	DET
ejpam-6439	212	39	goodness	goodness	NOUN
ejpam-6439	212	40	-	-	PUNCT
ejpam-6439	212	41	of	of	ADP
ejpam-6439	212	42	-	-	PUNCT
ejpam-6439	212	43	fit	fit	NOUN
ejpam-6439	212	44	for	for	ADP
ejpam-6439	212	45	both	both	CCONJ
ejpam-6439	212	46	the	the	DET
ejpam-6439	212	47	adps	adps	PROPN
ejpam-6439	212	48	and	and	CCONJ
ejpam-6439	212	49	aldps	aldps	NOUN
ejpam-6439	212	50	models	model	NOUN
ejpam-6439	212	51	is	be	AUX
ejpam-6439	212	52	well	well	ADJ
ejpam-6439	212	53	and	and	CCONJ
ejpam-6439	212	54	shows	show	VERB
ejpam-6439	212	55	a	a	DET
ejpam-6439	212	56	substantial	substantial	ADJ
ejpam-6439	212	57	improvement	improvement	NOUN
ejpam-6439	212	58	over	over	ADP
ejpam-6439	212	59	the	the	DET
ejpam-6439	212	60	acs	acs	PROPN
ejpam-6439	212	61	model	model	NOUN
ejpam-6439	212	62	.	.	PUNCT
ejpam-6439	213	1	the	the	DET
ejpam-6439	213	2	value	value	NOUN
ejpam-6439	213	3	of	of	ADP
ejpam-6439	213	4	the	the	DET
ejpam-6439	213	5	test	test	NOUN
ejpam-6439	213	6	statistic	statistic	NOUN
ejpam-6439	213	7	g2(aldps	g2(aldps	PROPN
ejpam-6439	213	8	|	|	NOUN
ejpam-6439	213	9	adps	adps	NOUN
ejpam-6439	213	10	)	)	PUNCT
ejpam-6439	213	11	is	be	AUX
ejpam-6439	213	12	2.30	2.30	NUM
ejpam-6439	213	13	.	.	PUNCT
ejpam-6439	214	1	therefore	therefore	ADV
ejpam-6439	214	2	,	,	PUNCT
ejpam-6439	214	3	the	the	DET
ejpam-6439	214	4	aldps	aldps	ADJ
ejpam-6439	214	5	model	model	NOUN
ejpam-6439	214	6	is	be	AUX
ejpam-6439	214	7	preferable	preferable	ADJ
ejpam-6439	214	8	to	to	ADP
ejpam-6439	214	9	the	the	DET
ejpam-6439	214	10	adps	adps	PROPN
ejpam-6439	214	11	model	model	NOUN
ejpam-6439	214	12	.	.	PUNCT
ejpam-6439	215	1	furthermore	furthermore	ADV
ejpam-6439	215	2	,	,	PUNCT
ejpam-6439	215	3	in	in	ADP
ejpam-6439	215	4	terms	term	NOUN
ejpam-6439	215	5	of	of	ADP
ejpam-6439	215	6	aic+	aic+	PROPN
ejpam-6439	215	7	,	,	PUNCT
ejpam-6439	215	8	the	the	DET
ejpam-6439	215	9	aldps	aldps	ADJ
ejpam-6439	215	10	model	model	NOUN
ejpam-6439	215	11	is	be	AUX
ejpam-6439	215	12	identified	identify	VERB
ejpam-6439	215	13	as	as	ADP
ejpam-6439	215	14	the	the	DET
ejpam-6439	215	15	best	well	ADV
ejpam-6439	215	16	-	-	PUNCT
ejpam-6439	215	17	fitting	fit	VERB
ejpam-6439	215	18	model	model	NOUN
ejpam-6439	215	19	among	among	ADP
ejpam-6439	215	20	those	those	PRON
ejpam-6439	215	21	applied	apply	VERB
ejpam-6439	215	22	to	to	ADP
ejpam-6439	215	23	the	the	DET
ejpam-6439	215	24	dataset	dataset	NOUN
ejpam-6439	215	25	in	in	ADP
ejpam-6439	215	26	table	table	NOUN
ejpam-6439	215	27	3	3	NUM
ejpam-6439	215	28	.	.	PUNCT
ejpam-6439	215	29	table	table	NOUN
ejpam-6439	215	30	4	4	NUM
ejpam-6439	215	31	provided	provide	VERB
ejpam-6439	215	32	the	the	DET
ejpam-6439	215	33	values	value	NOUN
ejpam-6439	215	34	of	of	ADP
ejpam-6439	215	35	g2	g2	PROPN
ejpam-6439	215	36	and	and	CCONJ
ejpam-6439	215	37	aic+	aic+	PROPN
ejpam-6439	215	38	for	for	ADP
ejpam-6439	215	39	each	each	PRON
ejpam-6439	215	40	as	as	ADP
ejpam-6439	215	41	,	,	PUNCT
ejpam-6439	215	42	acs	acs	PROPN
ejpam-6439	215	43	,	,	PUNCT
ejpam-6439	215	44	adps	adps	NOUN
ejpam-6439	215	45	,	,	PUNCT
ejpam-6439	215	46	aldps	aldps	ADJ
ejpam-6439	215	47	,	,	PUNCT
ejpam-6439	215	48	and	and	CCONJ
ejpam-6439	215	49	ame	ame	PROPN
ejpam-6439	215	50	model	model	NOUN
ejpam-6439	215	51	applied	apply	VERB
ejpam-6439	215	52	to	to	ADP
ejpam-6439	215	53	the	the	DET
ejpam-6439	215	54	dataset	dataset	NOUN
ejpam-6439	215	55	in	in	ADP
ejpam-6439	215	56	table	table	NOUN
ejpam-6439	215	57	3	3	NUM
ejpam-6439	215	58	.	.	PUNCT
ejpam-6439	215	59	from	from	ADP
ejpam-6439	215	60	table	table	NOUN
ejpam-6439	215	61	4	4	NUM
ejpam-6439	215	62	,	,	PUNCT
ejpam-6439	215	63	we	we	PRON
ejpam-6439	215	64	see	see	VERB
ejpam-6439	215	65	that	that	SCONJ
ejpam-6439	215	66	the	the	DET
ejpam-6439	215	67	goodness	goodness	NOUN
ejpam-6439	215	68	-	-	PUNCT
ejpam-6439	215	69	offit	offit	NOUN
ejpam-6439	215	70	of	of	ADP
ejpam-6439	215	71	the	the	DET
ejpam-6439	215	72	adps	adps	NOUN
ejpam-6439	215	73	model	model	NOUN
ejpam-6439	215	74	and	and	CCONJ
ejpam-6439	215	75	aldps	aldps	PROPN
ejpam-6439	215	76	modell	modell	PROPN
ejpam-6439	215	77	are	be	AUX
ejpam-6439	215	78	well	well	ADJ
ejpam-6439	215	79	and	and	CCONJ
ejpam-6439	215	80	dramatically	dramatically	ADV
ejpam-6439	215	81	improves	improves	AUX
ejpam-6439	215	82	compared	compare	VERB
ejpam-6439	215	83	to	to	ADP
ejpam-6439	215	84	the	the	DET
ejpam-6439	215	85	acs	acs	PROPN
ejpam-6439	215	86	model	model	NOUN
ejpam-6439	215	87	.	.	PUNCT
ejpam-6439	216	1	the	the	DET
ejpam-6439	216	2	value	value	NOUN
ejpam-6439	216	3	of	of	ADP
ejpam-6439	216	4	test	test	NOUN
ejpam-6439	216	5	statistics	statistic	NOUN
ejpam-6439	216	6	g2(aldps	g2(aldps	PROPN
ejpam-6439	216	7	|	|	ADV
ejpam-6439	216	8	adps	adps	NOUN
ejpam-6439	216	9	)	)	PUNCT
ejpam-6439	216	10	is	be	AUX
ejpam-6439	216	11	2.30	2.30	NUM
ejpam-6439	216	12	.	.	PUNCT
ejpam-6439	217	1	therefore	therefore	ADV
ejpam-6439	217	2	,	,	PUNCT
ejpam-6439	217	3	the	the	DET
ejpam-6439	217	4	aldps	aldps	ADJ
ejpam-6439	217	5	model	model	NOUN
ejpam-6439	217	6	is	be	AUX
ejpam-6439	217	7	preferable	preferable	ADJ
ejpam-6439	217	8	to	to	ADP
ejpam-6439	217	9	the	the	DET
ejpam-6439	217	10	adps	adps	PROPN
ejpam-6439	217	11	model	model	NOUN
ejpam-6439	217	12	.	.	PUNCT
ejpam-6439	218	1	moreover	moreover	ADV
ejpam-6439	218	2	,	,	PUNCT
ejpam-6439	218	3	in	in	ADP
ejpam-6439	218	4	terms	term	NOUN
ejpam-6439	218	5	of	of	ADP
ejpam-6439	218	6	aic	aic	PROPN
ejpam-6439	218	7	,	,	PUNCT
ejpam-6439	218	8	the	the	DET
ejpam-6439	218	9	aldps	aldps	ADJ
ejpam-6439	218	10	model	model	NOUN
ejpam-6439	218	11	is	be	AUX
ejpam-6439	218	12	the	the	DET
ejpam-6439	218	13	best	well	ADV
ejpam-6439	218	14	-	-	PUNCT
ejpam-6439	218	15	fitting	fit	VERB
ejpam-6439	218	16	model	model	NOUN
ejpam-6439	218	17	among	among	ADP
ejpam-6439	218	18	the	the	DET
ejpam-6439	218	19	models	model	NOUN
ejpam-6439	218	20	applied	apply	VERB
ejpam-6439	218	21	to	to	ADP
ejpam-6439	218	22	the	the	DET
ejpam-6439	218	23	dataset	dataset	NOUN
ejpam-6439	218	24	in	in	ADP
ejpam-6439	218	25	table	table	NOUN
ejpam-6439	218	26	3	3	NUM
ejpam-6439	218	27	.	.	PUNCT
ejpam-6439	218	28	table	table	NOUN
ejpam-6439	218	29	4	4	NUM
ejpam-6439	218	30	:	:	PUNCT
ejpam-6439	218	31	results	result	NOUN
ejpam-6439	218	32	of	of	ADP
ejpam-6439	218	33	goodness	goodness	NOUN
ejpam-6439	218	34	-	-	PUNCT
ejpam-6439	218	35	of	of	ADP
ejpam-6439	218	36	-	-	PUNCT
ejpam-6439	218	37	fit	fit	ADJ
ejpam-6439	218	38	test	test	NOUN
ejpam-6439	218	39	applied	apply	VERB
ejpam-6439	218	40	each	each	DET
ejpam-6439	218	41	model	model	NOUN
ejpam-6439	218	42	to	to	ADP
ejpam-6439	218	43	the	the	DET
ejpam-6439	218	44	dataset	dataset	NOUN
ejpam-6439	218	45	of	of	ADP
ejpam-6439	218	46	table	table	NOUN
ejpam-6439	218	47	3	3	NUM
ejpam-6439	218	48	applied	apply	VERB
ejpam-6439	218	49	models	model	NOUN
ejpam-6439	218	50	degrees	degree	NOUN
ejpam-6439	218	51	of	of	ADP
ejpam-6439	218	52	freedom	freedom	NOUN
ejpam-6439	218	53	g2	g2	PROPN
ejpam-6439	218	54	p	p	NOUN
ejpam-6439	218	55	-	-	PUNCT
ejpam-6439	218	56	value	value	NOUN
ejpam-6439	218	57	aic+	aic+	NOUN
ejpam-6439	218	58	as	as	ADP
ejpam-6439	218	59	10	10	NUM
ejpam-6439	218	60	167.37∗	167.37∗	NUM
ejpam-6439	218	61	<	<	X
ejpam-6439	218	62	0.01	0.01	NUM
ejpam-6439	218	63	147.37	147.37	NUM
ejpam-6439	218	64	acs	acs	NOUN
ejpam-6439	218	65	9	9	NUM
ejpam-6439	218	66	43.92∗	43.92∗	NOUN
ejpam-6439	218	67	<	<	X
ejpam-6439	218	68	0.01	0.01	NUM
ejpam-6439	218	69	25.92	25.92	NUM
ejpam-6439	218	70	adps	adps	NOUN
ejpam-6439	218	71	6	6	NUM
ejpam-6439	218	72	5.35	5.35	NUM
ejpam-6439	218	73	0.50	0.50	NUM
ejpam-6439	218	74	−7.35	−7.35	NOUN
ejpam-6439	219	1	aldps	aldps	PROPN
ejpam-6439	219	2	9	9	NUM
ejpam-6439	219	3	7.65	7.65	NUM
ejpam-6439	219	4	0.57	0.57	NUM
ejpam-6439	219	5	−10.35	−10.35	NOUN
ejpam-6439	219	6	ame	ame	X
ejpam-6439	219	7	1	1	NUM
ejpam-6439	219	8	160.07∗	160.07∗	NUM
ejpam-6439	219	9	<	<	X
ejpam-6439	219	10	0.01	0.01	NUM
ejpam-6439	219	11	158.07	158.07	NUM
ejpam-6439	219	12	the	the	DET
ejpam-6439	219	13	symbol	symbol	NOUN
ejpam-6439	219	14	∗	∗	NOUN
ejpam-6439	219	15	represents	represent	VERB
ejpam-6439	219	16	significance	significance	NOUN
ejpam-6439	219	17	at	at	ADP
ejpam-6439	219	18	the	the	DET
ejpam-6439	219	19	0.05	0.05	NUM
ejpam-6439	219	20	level	level	NOUN
ejpam-6439	219	21	.	.	PUNCT
ejpam-6439	220	1	table	table	NOUN
ejpam-6439	220	2	5	5	NUM
ejpam-6439	220	3	presents	present	VERB
ejpam-6439	220	4	the	the	DET
ejpam-6439	220	5	estimated	estimate	VERB
ejpam-6439	220	6	expected	expect	VERB
ejpam-6439	220	7	frequencies	frequency	NOUN
ejpam-6439	220	8	êij	êij	NOUN
ejpam-6439	220	9	under	under	ADP
ejpam-6439	220	10	the	the	DET
ejpam-6439	220	11	aldps	aldps	ADJ
ejpam-6439	220	12	and	and	CCONJ
ejpam-6439	220	13	adps	adps	NOUN
ejpam-6439	220	14	models	model	NOUN
ejpam-6439	220	15	.	.	PUNCT
ejpam-6439	221	1	the	the	DET
ejpam-6439	221	2	maximum	maximum	ADJ
ejpam-6439	221	3	likelihood	likelihood	NOUN
ejpam-6439	221	4	estimate	estimate	NOUN
ejpam-6439	221	5	of	of	ADP
ejpam-6439	221	6	δ	δ	PROPN
ejpam-6439	221	7	in	in	ADP
ejpam-6439	221	8	the	the	DET
ejpam-6439	221	9	aldps	aldps	ADJ
ejpam-6439	221	10	model	model	NOUN
ejpam-6439	221	11	is	be	AUX
ejpam-6439	221	12	0.82	0.82	NUM
ejpam-6439	221	13	.	.	PUNCT
ejpam-6439	222	1	these	these	DET
ejpam-6439	222	2	results	result	NOUN
ejpam-6439	222	3	reveal	reveal	VERB
ejpam-6439	222	4	a	a	DET
ejpam-6439	222	5	clear	clear	ADJ
ejpam-6439	222	6	discrepancy	discrepancy	NOUN
ejpam-6439	222	7	in	in	ADP
ejpam-6439	222	8	the	the	DET
ejpam-6439	222	9	ratio	ratio	NOUN
ejpam-6439	222	10	of	of	ADP
ejpam-6439	222	11	men	man	NOUN
ejpam-6439	222	12	classified	classify	VERB
ejpam-6439	222	13	as	as	ADP
ejpam-6439	222	14	having	have	VERB
ejpam-6439	222	15	high	high	ADJ
ejpam-6439	222	16	versus	versus	ADP
ejpam-6439	222	17	low	low	ADJ
ejpam-6439	222	18	grip	grip	NOUN
ejpam-6439	222	19	strength	strength	NOUN
ejpam-6439	222	20	.	.	PUNCT
ejpam-6439	223	1	it	it	PRON
ejpam-6439	223	2	can	can	AUX
ejpam-6439	223	3	therefore	therefore	ADV
ejpam-6439	223	4	be	be	AUX
ejpam-6439	223	5	concluded	conclude	VERB
ejpam-6439	223	6	that	that	SCONJ
ejpam-6439	223	7	the	the	DET
ejpam-6439	223	8	current	current	ADJ
ejpam-6439	223	9	criteria	criterion	NOUN
ejpam-6439	223	10	used	use	VERB
ejpam-6439	223	11	to	to	PART
ejpam-6439	223	12	determine	determine	VERB
ejpam-6439	223	13	grip	grip	NOUN
ejpam-6439	223	14	strength	strength	NOUN
ejpam-6439	223	15	levels	level	NOUN
ejpam-6439	223	16	may	may	AUX
ejpam-6439	223	17	be	be	AUX
ejpam-6439	223	18	inadequate	inadequate	ADJ
ejpam-6439	223	19	.	.	PUNCT
ejpam-6439	224	1	in	in	ADP
ejpam-6439	224	2	the	the	DET
ejpam-6439	224	3	future	future	NOUN
ejpam-6439	224	4	,	,	PUNCT
ejpam-6439	224	5	it	it	PRON
ejpam-6439	224	6	is	be	AUX
ejpam-6439	224	7	anticipated	anticipate	VERB
ejpam-6439	224	8	that	that	SCONJ
ejpam-6439	224	9	the	the	DET
ejpam-6439	224	10	classification	classification	NOUN
ejpam-6439	224	11	criteria	criterion	NOUN
ejpam-6439	224	12	for	for	ADP
ejpam-6439	224	13	grip	grip	NOUN
ejpam-6439	224	14	strength	strength	NOUN
ejpam-6439	224	15	will	will	AUX
ejpam-6439	224	16	be	be	AUX
ejpam-6439	224	17	revised	revise	VERB
ejpam-6439	224	18	.	.	PUNCT
ejpam-6439	225	1	given	give	VERB
ejpam-6439	225	2	that	that	PRON
ejpam-6439	225	3	observations	observation	NOUN
ejpam-6439	225	4	in	in	ADP
ejpam-6439	225	5	square	square	ADJ
ejpam-6439	225	6	contingency	contingency	NOUN
ejpam-6439	225	7	tables	table	NOUN
ejpam-6439	225	8	tend	tend	VERB
ejpam-6439	225	9	to	to	PART
ejpam-6439	225	10	concentrate	concentrate	VERB
ejpam-6439	225	11	in	in	ADP
ejpam-6439	225	12	the	the	DET
ejpam-6439	225	13	main	main	ADJ
ejpam-6439	225	14	diagonal	diagonal	ADJ
ejpam-6439	225	15	cells	cell	NOUN
ejpam-6439	225	16	,	,	PUNCT
ejpam-6439	225	17	it	it	PRON
ejpam-6439	225	18	may	may	AUX
ejpam-6439	225	19	be	be	AUX
ejpam-6439	225	20	desirable	desirable	ADJ
ejpam-6439	225	21	to	to	PART
ejpam-6439	225	22	consider	consider	VERB
ejpam-6439	225	23	a	a	DET
ejpam-6439	225	24	model	model	NOUN
ejpam-6439	225	25	that	that	PRON
ejpam-6439	225	26	is	be	AUX
ejpam-6439	225	27	saturated	saturate	VERB
ejpam-6439	225	28	only	only	ADV
ejpam-6439	225	29	on	on	ADP
ejpam-6439	225	30	the	the	DET
ejpam-6439	225	31	anti	anti	ADJ
ejpam-6439	225	32	-	-	ADJ
ejpam-6439	225	33	diagonal	diagonal	ADJ
ejpam-6439	225	34	cells	cell	NOUN
ejpam-6439	225	35	.	.	PUNCT
ejpam-6439	226	1	in	in	ADP
ejpam-6439	226	2	fact	fact	NOUN
ejpam-6439	226	3	,	,	PUNCT
ejpam-6439	226	4	the	the	DET
ejpam-6439	226	5	ratio	ratio	NOUN
ejpam-6439	226	6	of	of	ADP
ejpam-6439	226	7	(	(	PUNCT
ejpam-6439	226	8	n11	n11	PROPN
ejpam-6439	226	9	+	+	CCONJ
ejpam-6439	226	10	n55	n55	NOUN
ejpam-6439	226	11	)	)	PUNCT
ejpam-6439	226	12	to	to	ADP
ejpam-6439	226	13	n	n	PROPN
ejpam-6439	226	14	in	in	ADP
ejpam-6439	226	15	the	the	DET
ejpam-6439	226	16	dataset	dataset	NOUN
ejpam-6439	226	17	in	in	ADP
ejpam-6439	226	18	table	table	NOUN
ejpam-6439	226	19	3	3	NUM
ejpam-6439	226	20	is	be	AUX
ejpam-6439	226	21	approximately	approximately	ADV
ejpam-6439	226	22	30	30	NUM
ejpam-6439	226	23	%	%	NOUN
ejpam-6439	226	24	.	.	PUNCT
ejpam-6439	227	1	the	the	DET
ejpam-6439	227	2	adps	adps	PROPN
ejpam-6439	227	3	model	model	NOUN
ejpam-6439	227	4	is	be	AUX
ejpam-6439	227	5	saturated	saturate	VERB
ejpam-6439	227	6	in	in	ADP
ejpam-6439	227	7	the	the	DET
ejpam-6439	227	8	first	first	ADJ
ejpam-6439	227	9	row	row	NOUN
ejpam-6439	227	10	and	and	CCONJ
ejpam-6439	227	11	first	first	ADJ
ejpam-6439	227	12	column	column	NOUN
ejpam-6439	227	13	cell	cell	NOUN
ejpam-6439	227	14	,	,	PUNCT
ejpam-6439	227	15	the	the	DET
ejpam-6439	227	16	rth	rth	NOUN
ejpam-6439	227	17	row	row	PROPN
ejpam-6439	227	18	and	and	CCONJ
ejpam-6439	227	19	rth	rth	NOUN
ejpam-6439	227	20	column	column	NOUN
ejpam-6439	227	21	cell	cell	NOUN
ejpam-6439	227	22	,	,	PUNCT
ejpam-6439	227	23	as	as	ADV
ejpam-6439	227	24	well	well	ADV
ejpam-6439	227	25	as	as	ADP
ejpam-6439	227	26	in	in	ADP
ejpam-6439	227	27	the	the	DET
ejpam-6439	227	28	anti	anti	ADJ
ejpam-6439	227	29	-	-	ADJ
ejpam-6439	227	30	diagonal	diagonal	ADJ
ejpam-6439	227	31	cells	cell	NOUN
ejpam-6439	227	32	of	of	ADP
ejpam-6439	227	33	the	the	DET
ejpam-6439	227	34	table	table	NOUN
ejpam-6439	227	35	.	.	PUNCT
ejpam-6439	228	1	for	for	ADP
ejpam-6439	228	2	the	the	DET
ejpam-6439	228	3	dataset	dataset	NOUN
ejpam-6439	228	4	in	in	ADP
ejpam-6439	228	5	table	table	NOUN
ejpam-6439	228	6	3	3	NUM
ejpam-6439	228	7	,	,	PUNCT
ejpam-6439	228	8	under	under	ADP
ejpam-6439	228	9	the	the	DET
ejpam-6439	228	10	adps	adps	PROPN
ejpam-6439	228	11	model	model	NOUN
ejpam-6439	228	12	,	,	PUNCT
ejpam-6439	228	13	ê11	ê11	X
ejpam-6439	228	14	and	and	CCONJ
ejpam-6439	228	15	ê55	ê55	PROPN
ejpam-6439	228	16	are	be	AUX
ejpam-6439	228	17	equal	equal	ADJ
ejpam-6439	228	18	to	to	ADP
ejpam-6439	228	19	n11	n11	NOUN
ejpam-6439	228	20	and	and	CCONJ
ejpam-6439	228	21	n55	n55	NOUN
ejpam-6439	228	22	,	,	PUNCT
ejpam-6439	228	23	respectively	respectively	ADV
ejpam-6439	228	24	.	.	PUNCT
ejpam-6439	229	1	in	in	ADP
ejpam-6439	229	2	contrast	contrast	NOUN
ejpam-6439	229	3	,	,	PUNCT
ejpam-6439	229	4	the	the	DET
ejpam-6439	229	5	aldps	aldps	ADJ
ejpam-6439	229	6	model	model	NOUN
ejpam-6439	229	7	is	be	AUX
ejpam-6439	229	8	saturated	saturate	VERB
ejpam-6439	229	9	only	only	ADV
ejpam-6439	229	10	in	in	ADP
ejpam-6439	229	11	the	the	DET
ejpam-6439	229	12	anti	anti	ADJ
ejpam-6439	229	13	-	-	ADJ
ejpam-6439	229	14	diagonal	diagonal	ADJ
ejpam-6439	229	15	cells	cell	NOUN
ejpam-6439	229	16	.	.	PUNCT
ejpam-6439	230	1	s.	s.	PROPN
ejpam-6439	230	2	ando	ando	PROPN
ejpam-6439	230	3	/	/	SYM
ejpam-6439	230	4	eur	eur	PROPN
ejpam-6439	230	5	.	.	PUNCT
ejpam-6439	231	1	j.	j.	PROPN
ejpam-6439	231	2	pure	pure	PROPN
ejpam-6439	231	3	appl	appl	PROPN
ejpam-6439	231	4	.	.	PROPN
ejpam-6439	231	5	math	math	PROPN
ejpam-6439	231	6	,	,	PUNCT
ejpam-6439	231	7	18	18	NUM
ejpam-6439	231	8	(	(	PUNCT
ejpam-6439	231	9	4	4	NUM
ejpam-6439	231	10	)	)	PUNCT
ejpam-6439	231	11	(	(	PUNCT
ejpam-6439	231	12	2025	2025	NUM
ejpam-6439	231	13	)	)	PUNCT
ejpam-6439	231	14	,	,	PUNCT
ejpam-6439	231	15	6439	6439	NUM
ejpam-6439	231	16	11	11	NUM
ejpam-6439	231	17	of	of	ADP
ejpam-6439	231	18	13	13	NUM
ejpam-6439	231	19	table	table	NOUN
ejpam-6439	231	20	5	5	NUM
ejpam-6439	231	21	:	:	PUNCT
ejpam-6439	231	22	maximum	maximum	ADJ
ejpam-6439	231	23	likelihood	likelihood	NOUN
ejpam-6439	231	24	estimates	estimate	NOUN
ejpam-6439	231	25	of	of	ADP
ejpam-6439	231	26	expected	expect	VERB
ejpam-6439	231	27	frequencies	frequency	NOUN
ejpam-6439	231	28	under	under	ADP
ejpam-6439	231	29	the	the	DET
ejpam-6439	231	30	anti	anti	ADJ
ejpam-6439	231	31	-	-	ADJ
ejpam-6439	231	32	diagonals	diagonal	NOUN
ejpam-6439	231	33	-	-	PUNCT
ejpam-6439	231	34	parameter	parameter	NOUN
ejpam-6439	231	35	symmetry	symmetry	NOUN
ejpam-6439	231	36	(	(	PUNCT
ejpam-6439	231	37	adps	adps	PROPN
ejpam-6439	231	38	)	)	PUNCT
ejpam-6439	231	39	model	model	NOUN
ejpam-6439	231	40	and	and	CCONJ
ejpam-6439	231	41	anti	anti	ADJ
ejpam-6439	231	42	-	-	ADJ
ejpam-6439	231	43	linear	linear	ADJ
ejpam-6439	231	44	diagonals	diagonal	NOUN
ejpam-6439	231	45	-	-	PUNCT
ejpam-6439	231	46	parameter	parameter	NOUN
ejpam-6439	231	47	symmetry	symmetry	NOUN
ejpam-6439	231	48	(	(	PUNCT
ejpam-6439	231	49	aldps	aldps	ADJ
ejpam-6439	231	50	)	)	PUNCT
ejpam-6439	231	51	model	model	NOUN
ejpam-6439	231	52	applied	apply	VERB
ejpam-6439	231	53	to	to	ADP
ejpam-6439	231	54	the	the	DET
ejpam-6439	231	55	dataset	dataset	NOUN
ejpam-6439	231	56	in	in	ADP
ejpam-6439	231	57	table	table	NOUN
ejpam-6439	231	58	3.the	3.the	DET
ejpam-6439	231	59	parenthesized	parenthesized	ADJ
ejpam-6439	231	60	values	value	NOUN
ejpam-6439	231	61	in	in	ADP
ejpam-6439	231	62	lines	line	NOUN
ejpam-6439	231	63	2	2	NUM
ejpam-6439	231	64	and	and	CCONJ
ejpam-6439	231	65	3	3	NUM
ejpam-6439	231	66	are	be	AUX
ejpam-6439	231	67	the	the	DET
ejpam-6439	231	68	maximum	maximum	ADJ
ejpam-6439	231	69	likelihood	likelihood	NOUN
ejpam-6439	231	70	estimates	estimate	NOUN
ejpam-6439	231	71	of	of	ADP
ejpam-6439	231	72	expected	expect	VERB
ejpam-6439	231	73	frequencies	frequency	NOUN
ejpam-6439	231	74	under	under	ADP
ejpam-6439	231	75	the	the	DET
ejpam-6439	231	76	adps	adps	NOUN
ejpam-6439	231	77	and	and	CCONJ
ejpam-6439	231	78	aldps	aldps	NOUN
ejpam-6439	231	79	models	model	NOUN
ejpam-6439	231	80	,	,	PUNCT
ejpam-6439	231	81	respectively	respectively	ADV
ejpam-6439	231	82	.	.	PUNCT
ejpam-6439	232	1	left	leave	VERB
ejpam-6439	232	2	hand	hand	NOUN
ejpam-6439	232	3	right	right	ADJ
ejpam-6439	232	4	hand	hand	NOUN
ejpam-6439	232	5	(	(	PUNCT
ejpam-6439	232	6	1	1	NUM
ejpam-6439	232	7	)	)	PUNCT
ejpam-6439	232	8	(	(	PUNCT
ejpam-6439	232	9	2	2	NUM
ejpam-6439	232	10	)	)	PUNCT
ejpam-6439	232	11	(	(	PUNCT
ejpam-6439	232	12	3	3	X
ejpam-6439	232	13	)	)	PUNCT
ejpam-6439	232	14	(	(	PUNCT
ejpam-6439	232	15	4	4	NUM
ejpam-6439	232	16	)	)	PUNCT
ejpam-6439	232	17	(	(	PUNCT
ejpam-6439	232	18	5	5	X
ejpam-6439	232	19	)	)	PUNCT
ejpam-6439	232	20	total	total	NOUN
ejpam-6439	232	21	highest	high	ADJ
ejpam-6439	232	22	(	(	PUNCT
ejpam-6439	232	23	1	1	NUM
ejpam-6439	232	24	)	)	PUNCT
ejpam-6439	232	25	215	215	NUM
ejpam-6439	232	26	124	124	NUM
ejpam-6439	232	27	46	46	NUM
ejpam-6439	232	28	14	14	NUM
ejpam-6439	232	29	2	2	NUM
ejpam-6439	232	30	401	401	NUM
ejpam-6439	232	31	(	(	PUNCT
ejpam-6439	232	32	215	215	NUM
ejpam-6439	232	33	)	)	PUNCT
ejpam-6439	232	34	(	(	PUNCT
ejpam-6439	232	35	124.48	124.48	NUM
ejpam-6439	232	36	)	)	PUNCT
ejpam-6439	232	37	(	(	PUNCT
ejpam-6439	232	38	38.88	38.88	NUM
ejpam-6439	232	39	)	)	PUNCT
ejpam-6439	232	40	(	(	PUNCT
ejpam-6439	232	41	14.36	14.36	NUM
ejpam-6439	232	42	)	)	PUNCT
ejpam-6439	232	43	(	(	PUNCT
ejpam-6439	232	44	2	2	NUM
ejpam-6439	232	45	)	)	PUNCT
ejpam-6439	232	46	(	(	PUNCT
ejpam-6439	232	47	222.66	222.66	NUM
ejpam-6439	232	48	)	)	PUNCT
ejpam-6439	232	49	(	(	PUNCT
ejpam-6439	232	50	119.31	119.31	NUM
ejpam-6439	232	51	)	)	PUNCT
ejpam-6439	232	52	(	(	PUNCT
ejpam-6439	232	53	39.12	39.12	NUM
ejpam-6439	232	54	)	)	PUNCT
ejpam-6439	232	55	(	(	PUNCT
ejpam-6439	232	56	13.54	13.54	NUM
ejpam-6439	232	57	)	)	PUNCT
ejpam-6439	232	58	(	(	PUNCT
ejpam-6439	232	59	2	2	NUM
ejpam-6439	232	60	)	)	PUNCT
ejpam-6439	232	61	(	(	PUNCT
ejpam-6439	232	62	2	2	NUM
ejpam-6439	232	63	)	)	PUNCT
ejpam-6439	232	64	37	37	NUM
ejpam-6439	232	65	143	143	NUM
ejpam-6439	232	66	165	165	NUM
ejpam-6439	232	67	74	74	NUM
ejpam-6439	232	68	16	16	NUM
ejpam-6439	232	69	435	435	NUM
ejpam-6439	232	70	(	(	PUNCT
ejpam-6439	232	71	36.52	36.52	NUM
ejpam-6439	232	72	)	)	PUNCT
ejpam-6439	232	73	(	(	PUNCT
ejpam-6439	232	74	147.90	147.90	NUM
ejpam-6439	232	75	)	)	PUNCT
ejpam-6439	232	76	(	(	PUNCT
ejpam-6439	232	77	158.49	158.49	NUM
ejpam-6439	232	78	)	)	PUNCT
ejpam-6439	232	79	(	(	PUNCT
ejpam-6439	232	80	74	74	NUM
ejpam-6439	232	81	)	)	PUNCT
ejpam-6439	232	82	(	(	PUNCT
ejpam-6439	232	83	15.64	15.64	NUM
ejpam-6439	232	84	)	)	PUNCT
ejpam-6439	232	85	(	(	PUNCT
ejpam-6439	232	86	35.01	35.01	NUM
ejpam-6439	232	87	)	)	PUNCT
ejpam-6439	232	88	(	(	PUNCT
ejpam-6439	232	89	148.82	148.82	NUM
ejpam-6439	232	90	)	)	PUNCT
ejpam-6439	232	91	(	(	PUNCT
ejpam-6439	232	92	149.35	149.35	NUM
ejpam-6439	232	93	)	)	PUNCT
ejpam-6439	232	94	(	(	PUNCT
ejpam-6439	232	95	74	74	NUM
ejpam-6439	232	96	)	)	PUNCT
ejpam-6439	232	97	(	(	PUNCT
ejpam-6439	232	98	16.46	16.46	NUM
ejpam-6439	232	99	)	)	PUNCT
ejpam-6439	232	100	(	(	PUNCT
ejpam-6439	232	101	3	3	X
ejpam-6439	232	102	)	)	PUNCT
ejpam-6439	232	103	7	7	NUM
ejpam-6439	232	104	45	45	NUM
ejpam-6439	232	105	156	156	NUM
ejpam-6439	232	106	166	166	NUM
ejpam-6439	232	107	51	51	NUM
ejpam-6439	232	108	425	425	NUM
ejpam-6439	232	109	(	(	PUNCT
ejpam-6439	232	110	9.22	9.22	NUM
ejpam-6439	232	111	)	)	PUNCT
ejpam-6439	232	112	(	(	PUNCT
ejpam-6439	232	113	51.23	51.23	NUM
ejpam-6439	232	114	)	)	PUNCT
ejpam-6439	232	115	(	(	PUNCT
ejpam-6439	232	116	156	156	NUM
ejpam-6439	232	117	)	)	PUNCT
ejpam-6439	232	118	(	(	PUNCT
ejpam-6439	232	119	172.51	172.51	NUM
ejpam-6439	232	120	)	)	PUNCT
ejpam-6439	232	121	(	(	PUNCT
ejpam-6439	232	122	58.12	58.12	NUM
ejpam-6439	232	123	)	)	PUNCT
ejpam-6439	232	124	(	(	PUNCT
ejpam-6439	232	125	9.28	9.28	NUM
ejpam-6439	232	126	)	)	PUNCT
ejpam-6439	232	127	(	(	PUNCT
ejpam-6439	232	128	48.28	48.28	NUM
ejpam-6439	232	129	)	)	PUNCT
ejpam-6439	232	130	(	(	PUNCT
ejpam-6439	232	131	156	156	NUM
ejpam-6439	232	132	)	)	PUNCT
ejpam-6439	232	133	(	(	PUNCT
ejpam-6439	232	134	181.65	181.65	NUM
ejpam-6439	232	135	)	)	PUNCT
ejpam-6439	232	136	(	(	PUNCT
ejpam-6439	232	137	57.88	57.88	NUM
ejpam-6439	232	138	)	)	PUNCT
ejpam-6439	232	139	(	(	PUNCT
ejpam-6439	232	140	4	4	X
ejpam-6439	232	141	)	)	SYM
ejpam-6439	232	142	2	2	NUM
ejpam-6439	232	143	20	20	NUM
ejpam-6439	232	144	62	62	NUM
ejpam-6439	232	145	226	226	NUM
ejpam-6439	232	146	210	210	NUM
ejpam-6439	232	147	520	520	NUM
ejpam-6439	232	148	(	(	PUNCT
ejpam-6439	232	149	1.92	1.92	NUM
ejpam-6439	232	150	)	)	PUNCT
ejpam-6439	232	151	(	(	PUNCT
ejpam-6439	232	152	20	20	NUM
ejpam-6439	232	153	)	)	PUNCT
ejpam-6439	232	154	(	(	PUNCT
ejpam-6439	232	155	55.77	55.77	NUM
ejpam-6439	232	156	)	)	PUNCT
ejpam-6439	232	157	(	(	PUNCT
ejpam-6439	232	158	221.10	221.10	NUM
ejpam-6439	232	159	)	)	PUNCT
ejpam-6439	232	160	(	(	PUNCT
ejpam-6439	232	161	209.52	209.52	NUM
ejpam-6439	232	162	)	)	PUNCT
ejpam-6439	232	163	(	(	PUNCT
ejpam-6439	232	164	1.80	1.80	NUM
ejpam-6439	232	165	)	)	PUNCT
ejpam-6439	232	166	(	(	PUNCT
ejpam-6439	232	167	20	20	NUM
ejpam-6439	232	168	)	)	PUNCT
ejpam-6439	232	169	(	(	PUNCT
ejpam-6439	232	170	58.72	58.72	NUM
ejpam-6439	232	171	)	)	PUNCT
ejpam-6439	232	172	(	(	PUNCT
ejpam-6439	232	173	220.18	220.18	NUM
ejpam-6439	232	174	)	)	PUNCT
ejpam-6439	232	175	(	(	PUNCT
ejpam-6439	232	176	214.69	214.69	NUM
ejpam-6439	232	177	)	)	PUNCT
ejpam-6439	232	178	lowest	low	ADJ
ejpam-6439	232	179	(	(	PUNCT
ejpam-6439	232	180	5	5	NUM
ejpam-6439	232	181	)	)	SYM
ejpam-6439	232	182	1	1	NUM
ejpam-6439	232	183	2	2	NUM
ejpam-6439	232	184	16	16	NUM
ejpam-6439	232	185	61	61	NUM
ejpam-6439	232	186	495	495	NUM
ejpam-6439	232	187	575	575	NUM
ejpam-6439	232	188	(	(	PUNCT
ejpam-6439	232	189	1	1	NUM
ejpam-6439	232	190	)	)	PUNCT
ejpam-6439	232	191	(	(	PUNCT
ejpam-6439	232	192	2.08	2.08	NUM
ejpam-6439	232	193	)	)	PUNCT
ejpam-6439	232	194	(	(	PUNCT
ejpam-6439	232	195	13.78	13.78	NUM
ejpam-6439	232	196	)	)	PUNCT
ejpam-6439	232	197	(	(	PUNCT
ejpam-6439	232	198	61.48	61.48	NUM
ejpam-6439	232	199	)	)	PUNCT
ejpam-6439	232	200	(	(	PUNCT
ejpam-6439	232	201	495	495	NUM
ejpam-6439	232	202	)	)	PUNCT
ejpam-6439	232	203	(	(	PUNCT
ejpam-6439	232	204	1	1	X
ejpam-6439	232	205	)	)	PUNCT
ejpam-6439	232	206	(	(	PUNCT
ejpam-6439	232	207	2.20	2.20	NUM
ejpam-6439	232	208	)	)	PUNCT
ejpam-6439	232	209	(	(	PUNCT
ejpam-6439	232	210	13.72	13.72	NUM
ejpam-6439	232	211	)	)	PUNCT
ejpam-6439	232	212	(	(	PUNCT
ejpam-6439	232	213	62.99	62.99	NUM
ejpam-6439	232	214	)	)	PUNCT
ejpam-6439	232	215	(	(	PUNCT
ejpam-6439	232	216	487.34	487.34	NUM
ejpam-6439	232	217	)	)	PUNCT
ejpam-6439	232	218	total	total	NOUN
ejpam-6439	232	219	262	262	NUM
ejpam-6439	232	220	334	334	NUM
ejpam-6439	232	221	445	445	NUM
ejpam-6439	232	222	541	541	NUM
ejpam-6439	232	223	774	774	NUM
ejpam-6439	232	224	2356	2356	NUM
ejpam-6439	232	225	accordingly	accordingly	ADV
ejpam-6439	232	226	,	,	PUNCT
ejpam-6439	232	227	for	for	ADP
ejpam-6439	232	228	the	the	DET
ejpam-6439	232	229	same	same	ADJ
ejpam-6439	232	230	dataset	dataset	NOUN
ejpam-6439	232	231	,	,	PUNCT
ejpam-6439	232	232	under	under	ADP
ejpam-6439	232	233	the	the	DET
ejpam-6439	232	234	aldps	aldps	ADJ
ejpam-6439	232	235	model	model	NOUN
ejpam-6439	232	236	,	,	PUNCT
ejpam-6439	232	237	ê11	ê11	X
ejpam-6439	232	238	and	and	CCONJ
ejpam-6439	232	239	ê55	ê55	PROPN
ejpam-6439	232	240	are	be	AUX
ejpam-6439	232	241	not	not	PART
ejpam-6439	232	242	equal	equal	ADJ
ejpam-6439	232	243	to	to	ADP
ejpam-6439	232	244	n11	n11	NOUN
ejpam-6439	232	245	and	and	CCONJ
ejpam-6439	232	246	n55	n55	NOUN
ejpam-6439	232	247	,	,	PUNCT
ejpam-6439	232	248	respectively	respectively	ADV
ejpam-6439	232	249	.	.	PUNCT
ejpam-6439	233	1	in	in	ADP
ejpam-6439	233	2	accordance	accordance	NOUN
ejpam-6439	233	3	with	with	ADP
ejpam-6439	233	4	theorem	theorem	NOUN
ejpam-6439	233	5	1	1	NUM
ejpam-6439	233	6	,	,	PUNCT
ejpam-6439	233	7	for	for	ADP
ejpam-6439	233	8	the	the	DET
ejpam-6439	233	9	dataset	dataset	NOUN
ejpam-6439	233	10	in	in	ADP
ejpam-6439	233	11	table	table	NOUN
ejpam-6439	233	12	3	3	NUM
ejpam-6439	233	13	,	,	PUNCT
ejpam-6439	233	14	the	the	DET
ejpam-6439	233	15	poor	poor	ADJ
ejpam-6439	233	16	goodness	goodness	NOUN
ejpam-6439	233	17	-	-	PUNCT
ejpam-6439	233	18	of	of	ADP
ejpam-6439	233	19	-	-	PUNCT
ejpam-6439	233	20	fit	fit	NOUN
ejpam-6439	233	21	of	of	ADP
ejpam-6439	233	22	the	the	PRON
ejpam-6439	233	23	as	as	ADP
ejpam-6439	233	24	model	model	NOUN
ejpam-6439	233	25	can	can	AUX
ejpam-6439	233	26	be	be	AUX
ejpam-6439	233	27	attributed	attribute	VERB
ejpam-6439	233	28	to	to	ADP
ejpam-6439	233	29	the	the	DET
ejpam-6439	233	30	amemodel	amemodel	NOUN
ejpam-6439	233	31	rather	rather	ADV
ejpam-6439	233	32	than	than	ADP
ejpam-6439	233	33	to	to	ADP
ejpam-6439	233	34	the	the	DET
ejpam-6439	233	35	aldps	aldps	PROPN
ejpam-6439	233	36	model	model	NOUN
ejpam-6439	233	37	.	.	PUNCT
ejpam-6439	234	1	from	from	ADP
ejpam-6439	234	2	table	table	NOUN
ejpam-6439	234	3	4	4	NUM
ejpam-6439	234	4	,	,	PUNCT
ejpam-6439	234	5	we	we	PRON
ejpam-6439	234	6	observe	observe	VERB
ejpam-6439	234	7	that	that	SCONJ
ejpam-6439	234	8	g2(as	g2(as	NOUN
ejpam-6439	234	9	)	)	PUNCT
ejpam-6439	234	10	=	=	PUNCT
ejpam-6439	235	1	167.37	167.37	NUM
ejpam-6439	235	2	,	,	PUNCT
ejpam-6439	235	3	and	and	CCONJ
ejpam-6439	235	4	the	the	DET
ejpam-6439	235	5	sum	sum	NOUN
ejpam-6439	235	6	of	of	ADP
ejpam-6439	235	7	g2(aldps	g2(aldps	NOUN
ejpam-6439	235	8	)	)	PUNCT
ejpam-6439	235	9	and	and	CCONJ
ejpam-6439	235	10	g2(ame	g2(ame	NUM
ejpam-6439	235	11	)	)	PUNCT
ejpam-6439	235	12	is	be	AUX
ejpam-6439	235	13	167.72	167.72	NUM
ejpam-6439	235	14	.	.	PUNCT
ejpam-6439	236	1	according	accord	VERB
ejpam-6439	236	2	to	to	ADP
ejpam-6439	236	3	theorem	theorem	NOUN
ejpam-6439	236	4	2	2	NUM
ejpam-6439	236	5	,	,	PUNCT
ejpam-6439	236	6	since	since	SCONJ
ejpam-6439	236	7	the	the	DET
ejpam-6439	236	8	following	follow	VERB
ejpam-6439	236	9	asymptotic	asymptotic	ADJ
ejpam-6439	236	10	equivalence	equivalence	NOUN
ejpam-6439	236	11	holds	hold	VERB
ejpam-6439	236	12	:	:	PUNCT
ejpam-6439	236	13	g2(as	g2(as	NUM
ejpam-6439	236	14	)	)	PUNCT
ejpam-6439	236	15	≃	≃	NOUN
ejpam-6439	236	16	g2(aldps	g2(aldps	NOUN
ejpam-6439	236	17	)	)	PUNCT
ejpam-6439	237	1	+	+	NOUN
ejpam-6439	237	2	g2(ame	g2(ame	NUM
ejpam-6439	237	3	)	)	PUNCT
ejpam-6439	237	4	,	,	PUNCT
ejpam-6439	237	5	we	we	PRON
ejpam-6439	237	6	conclude	conclude	VERB
ejpam-6439	237	7	that	that	SCONJ
ejpam-6439	237	8	g2(as	g2(as	PROPN
ejpam-6439	237	9	)	)	PUNCT
ejpam-6439	237	10	is	be	AUX
ejpam-6439	237	11	nearly	nearly	ADV
ejpam-6439	237	12	equal	equal	ADJ
ejpam-6439	237	13	to	to	ADP
ejpam-6439	237	14	the	the	DET
ejpam-6439	237	15	sum	sum	NOUN
ejpam-6439	237	16	of	of	ADP
ejpam-6439	237	17	g2(aldps	g2(aldps	NOUN
ejpam-6439	237	18	)	)	PUNCT
ejpam-6439	237	19	and	and	CCONJ
ejpam-6439	237	20	g2(ame	g2(ame	NUM
ejpam-6439	237	21	)	)	PUNCT
ejpam-6439	237	22	in	in	ADP
ejpam-6439	237	23	this	this	DET
ejpam-6439	237	24	dataset	dataset	NOUN
ejpam-6439	237	25	.	.	PUNCT
ejpam-6439	238	1	6	6	X
ejpam-6439	238	2	.	.	X
ejpam-6439	238	3	conclusion	conclusion	NOUN
ejpam-6439	238	4	this	this	DET
ejpam-6439	238	5	study	study	NOUN
ejpam-6439	238	6	proposed	propose	VERB
ejpam-6439	238	7	the	the	DET
ejpam-6439	238	8	aldps	aldps	PROPN
ejpam-6439	238	9	model	model	NOUN
ejpam-6439	238	10	,	,	PUNCT
ejpam-6439	238	11	which	which	PRON
ejpam-6439	238	12	captures	capture	VERB
ejpam-6439	238	13	the	the	DET
ejpam-6439	238	14	asymmetric	asymmetric	ADJ
ejpam-6439	238	15	structure	structure	NOUN
ejpam-6439	238	16	of	of	ADP
ejpam-6439	238	17	cell	cell	NOUN
ejpam-6439	238	18	probabilities	probability	NOUN
ejpam-6439	238	19	with	with	ADP
ejpam-6439	238	20	respect	respect	NOUN
ejpam-6439	238	21	to	to	ADP
ejpam-6439	238	22	the	the	DET
ejpam-6439	238	23	anti	anti	ADJ
ejpam-6439	238	24	-	-	ADJ
ejpam-6439	238	25	diagonal	diagonal	ADJ
ejpam-6439	238	26	of	of	ADP
ejpam-6439	238	27	the	the	DET
ejpam-6439	238	28	table	table	NOUN
ejpam-6439	238	29	.	.	PUNCT
ejpam-6439	239	1	we	we	PRON
ejpam-6439	239	2	also	also	ADV
ejpam-6439	239	3	examined	examine	VERB
ejpam-6439	239	4	the	the	DET
ejpam-6439	239	5	relationship	relationship	NOUN
ejpam-6439	239	6	between	between	ADP
ejpam-6439	239	7	the	the	DET
ejpam-6439	239	8	aldps	aldps	ADJ
ejpam-6439	239	9	model	model	NOUN
ejpam-6439	239	10	and	and	CCONJ
ejpam-6439	239	11	the	the	DET
ejpam-6439	239	12	bivariate	bivariate	ADJ
ejpam-6439	239	13	normal	normal	ADJ
ejpam-6439	239	14	distribution	distribution	NOUN
ejpam-6439	239	15	.	.	PUNCT
ejpam-6439	240	1	furthermore	furthermore	ADV
ejpam-6439	240	2	,	,	PUNCT
ejpam-6439	240	3	we	we	PRON
ejpam-6439	240	4	provided	provide	VERB
ejpam-6439	240	5	a	a	DET
ejpam-6439	240	6	decomposition	decomposition	NOUN
ejpam-6439	240	7	of	of	ADP
ejpam-6439	240	8	the	the	PRON
ejpam-6439	240	9	as	as	ADP
ejpam-6439	240	10	model	model	NOUN
ejpam-6439	240	11	using	use	VERB
ejpam-6439	240	12	the	the	DET
ejpam-6439	240	13	aldps	aldps	ADJ
ejpam-6439	240	14	model	model	NOUN
ejpam-6439	240	15	(	(	PUNCT
ejpam-6439	240	16	theorem	theorem	NOUN
ejpam-6439	240	17	1	1	NUM
ejpam-6439	240	18	)	)	PUNCT
ejpam-6439	240	19	,	,	PUNCT
ejpam-6439	240	20	as	as	ADV
ejpam-6439	240	21	well	well	ADV
ejpam-6439	240	22	as	as	ADP
ejpam-6439	240	23	a	a	DET
ejpam-6439	240	24	decomposition	decomposition	NOUN
ejpam-6439	240	25	of	of	ADP
ejpam-6439	240	26	the	the	DET
ejpam-6439	240	27	test	test	NOUN
ejpam-6439	240	28	statistic	statistic	NOUN
ejpam-6439	240	29	for	for	ADP
ejpam-6439	240	30	the	the	PRON
ejpam-6439	240	31	as	as	ADP
ejpam-6439	240	32	model	model	NOUN
ejpam-6439	240	33	(	(	PUNCT
ejpam-6439	240	34	theorem	theorem	NOUN
ejpam-6439	240	35	2	2	NUM
ejpam-6439	240	36	)	)	PUNCT
ejpam-6439	240	37	.	.	PUNCT
ejpam-6439	241	1	the	the	DET
ejpam-6439	241	2	aldps	aldps	PROPN
ejpam-6439	241	3	model	model	NOUN
ejpam-6439	241	4	was	be	AUX
ejpam-6439	241	5	shown	show	VERB
ejpam-6439	241	6	to	to	PART
ejpam-6439	241	7	offer	offer	VERB
ejpam-6439	241	8	substantial	substantial	ADJ
ejpam-6439	241	9	advantages	advantage	NOUN
ejpam-6439	241	10	through	through	ADP
ejpam-6439	241	11	its	its	PRON
ejpam-6439	241	12	application	application	NOUN
ejpam-6439	241	13	to	to	ADP
ejpam-6439	241	14	the	the	DET
ejpam-6439	241	15	real	real	ADJ
ejpam-6439	241	16	dataset	dataset	NOUN
ejpam-6439	241	17	in	in	ADP
ejpam-6439	241	18	table	table	NOUN
ejpam-6439	241	19	3	3	NUM
ejpam-6439	241	20	.	.	PUNCT
ejpam-6439	242	1	the	the	DET
ejpam-6439	242	2	results	result	NOUN
ejpam-6439	242	3	supported	support	VERB
ejpam-6439	242	4	the	the	DET
ejpam-6439	242	5	hypothesis	hypothesis	NOUN
ejpam-6439	242	6	that	that	PRON
ejpam-6439	242	7	males	male	NOUN
ejpam-6439	242	8	with	with	ADP
ejpam-6439	242	9	high	high	ADJ
ejpam-6439	242	10	s.	s.	PROPN
ejpam-6439	242	11	ando	ando	PROPN
ejpam-6439	242	12	/	/	SYM
ejpam-6439	242	13	eur	eur	PROPN
ejpam-6439	242	14	.	.	PUNCT
ejpam-6439	243	1	j.	j.	PROPN
ejpam-6439	243	2	pure	pure	PROPN
ejpam-6439	243	3	appl	appl	PROPN
ejpam-6439	243	4	.	.	PROPN
ejpam-6439	243	5	math	math	PROPN
ejpam-6439	243	6	,	,	PUNCT
ejpam-6439	243	7	18	18	NUM
ejpam-6439	243	8	(	(	PUNCT
ejpam-6439	243	9	4	4	NUM
ejpam-6439	243	10	)	)	PUNCT
ejpam-6439	243	11	(	(	PUNCT
ejpam-6439	243	12	2025	2025	NUM
ejpam-6439	243	13	)	)	PUNCT
ejpam-6439	243	14	,	,	PUNCT
ejpam-6439	243	15	6439	6439	NUM
ejpam-6439	243	16	12	12	NUM
ejpam-6439	243	17	of	of	ADP
ejpam-6439	243	18	13	13	NUM
ejpam-6439	243	19	grip	grip	NOUN
ejpam-6439	243	20	strength	strength	NOUN
ejpam-6439	243	21	levels	level	NOUN
ejpam-6439	243	22	are	be	AUX
ejpam-6439	243	23	less	less	ADV
ejpam-6439	243	24	prevalent	prevalent	ADJ
ejpam-6439	243	25	than	than	ADP
ejpam-6439	243	26	those	those	PRON
ejpam-6439	243	27	with	with	ADP
ejpam-6439	243	28	low	low	ADJ
ejpam-6439	243	29	grip	grip	NOUN
ejpam-6439	243	30	strength	strength	NOUN
ejpam-6439	243	31	levels	level	NOUN
ejpam-6439	243	32	.	.	PUNCT
ejpam-6439	244	1	moreover	moreover	ADV
ejpam-6439	244	2	,	,	PUNCT
ejpam-6439	244	3	the	the	DET
ejpam-6439	244	4	findings	finding	NOUN
ejpam-6439	244	5	suggested	suggest	VERB
ejpam-6439	244	6	that	that	SCONJ
ejpam-6439	244	7	the	the	DET
ejpam-6439	244	8	current	current	ADJ
ejpam-6439	244	9	criteria	criterion	NOUN
ejpam-6439	244	10	used	use	VERB
ejpam-6439	244	11	to	to	PART
ejpam-6439	244	12	classify	classify	VERB
ejpam-6439	244	13	grip	grip	NOUN
ejpam-6439	244	14	strength	strength	NOUN
ejpam-6439	244	15	levels	level	NOUN
ejpam-6439	244	16	may	may	AUX
ejpam-6439	244	17	be	be	AUX
ejpam-6439	244	18	inadequate	inadequate	ADJ
ejpam-6439	244	19	.	.	PUNCT
ejpam-6439	245	1	readers	reader	NOUN
ejpam-6439	245	2	may	may	AUX
ejpam-6439	245	3	be	be	AUX
ejpam-6439	245	4	interested	interested	ADJ
ejpam-6439	245	5	in	in	ADP
ejpam-6439	245	6	an	an	DET
ejpam-6439	245	7	extended	extended	ADJ
ejpam-6439	245	8	aldps	aldps	ADJ
ejpam-6439	245	9	model	model	NOUN
ejpam-6439	245	10	,	,	PUNCT
ejpam-6439	245	11	which	which	PRON
ejpam-6439	245	12	would	would	AUX
ejpam-6439	245	13	be	be	AUX
ejpam-6439	245	14	suitable	suitable	ADJ
ejpam-6439	245	15	for	for	ADP
ejpam-6439	245	16	a	a	DET
ejpam-6439	245	17	square	square	ADJ
ejpam-6439	245	18	contingency	contingency	NOUN
ejpam-6439	245	19	table	table	NOUN
ejpam-6439	245	20	under	under	ADP
ejpam-6439	245	21	the	the	DET
ejpam-6439	245	22	assumption	assumption	NOUN
ejpam-6439	245	23	of	of	ADP
ejpam-6439	245	24	an	an	DET
ejpam-6439	245	25	underlying	underlying	ADJ
ejpam-6439	245	26	bivariate	bivariate	ADJ
ejpam-6439	245	27	normal	normal	ADJ
ejpam-6439	245	28	distribution	distribution	NOUN
ejpam-6439	245	29	without	without	ADP
ejpam-6439	245	30	requiring	require	VERB
ejpam-6439	245	31	equality	equality	NOUN
ejpam-6439	245	32	of	of	ADP
ejpam-6439	245	33	the	the	DET
ejpam-6439	245	34	marginal	marginal	ADJ
ejpam-6439	245	35	variances	variance	NOUN
ejpam-6439	245	36	.	.	PUNCT
ejpam-6439	246	1	following	follow	VERB
ejpam-6439	246	2	the	the	DET
ejpam-6439	246	3	approach	approach	NOUN
ejpam-6439	246	4	of	of	ADP
ejpam-6439	246	5	tomizawa	tomizawa	PROPN
ejpam-6439	246	6	[	[	X
ejpam-6439	246	7	20	20	NUM
ejpam-6439	246	8	]	]	PUNCT
ejpam-6439	246	9	,	,	PUNCT
ejpam-6439	246	10	extensions	extension	NOUN
ejpam-6439	246	11	of	of	ADP
ejpam-6439	246	12	the	the	DET
ejpam-6439	246	13	aldps	aldps	ADJ
ejpam-6439	246	14	model	model	NOUN
ejpam-6439	246	15	can	can	AUX
ejpam-6439	246	16	also	also	ADV
ejpam-6439	246	17	be	be	AUX
ejpam-6439	246	18	considered	consider	VERB
ejpam-6439	246	19	.	.	PUNCT
ejpam-6439	247	1	a	a	DET
ejpam-6439	247	2	detailed	detailed	ADJ
ejpam-6439	247	3	discussion	discussion	NOUN
ejpam-6439	247	4	of	of	ADP
ejpam-6439	247	5	such	such	ADJ
ejpam-6439	247	6	extensions	extension	NOUN
ejpam-6439	247	7	is	be	AUX
ejpam-6439	247	8	left	leave	VERB
ejpam-6439	247	9	for	for	ADP
ejpam-6439	247	10	future	future	ADJ
ejpam-6439	247	11	research	research	NOUN
ejpam-6439	247	12	.	.	PUNCT
ejpam-6439	248	1	acknowledgements	acknowledgement	NOUN
ejpam-6439	248	2	the	the	DET
ejpam-6439	248	3	author	author	NOUN
ejpam-6439	248	4	would	would	AUX
ejpam-6439	248	5	like	like	VERB
ejpam-6439	248	6	to	to	PART
ejpam-6439	248	7	thank	thank	VERB
ejpam-6439	248	8	the	the	DET
ejpam-6439	248	9	anonymous	anonymous	ADJ
ejpam-6439	248	10	reviewers	reviewer	NOUN
ejpam-6439	248	11	and	and	CCONJ
ejpam-6439	248	12	the	the	DET
ejpam-6439	248	13	editors	editor	NOUN
ejpam-6439	248	14	for	for	ADP
ejpam-6439	248	15	their	their	PRON
ejpam-6439	248	16	comments	comment	NOUN
ejpam-6439	248	17	and	and	CCONJ
ejpam-6439	248	18	suggestions	suggestion	NOUN
ejpam-6439	248	19	to	to	PART
ejpam-6439	248	20	improve	improve	VERB
ejpam-6439	248	21	this	this	DET
ejpam-6439	248	22	paper	paper	NOUN
ejpam-6439	248	23	.	.	PUNCT
ejpam-6439	249	1	references	reference	NOUN
ejpam-6439	249	2	[	[	X
ejpam-6439	249	3	1	1	NUM
ejpam-6439	249	4	]	]	PUNCT
ejpam-6439	249	5	h	h	PROPN
ejpam-6439	249	6	bowker	bowker	PROPN
ejpam-6439	249	7	.	.	PUNCT
ejpam-6439	250	1	a	a	DET
ejpam-6439	250	2	test	test	NOUN
ejpam-6439	250	3	for	for	ADP
ejpam-6439	250	4	symmetry	symmetry	NOUN
ejpam-6439	250	5	in	in	ADP
ejpam-6439	250	6	contingency	contingency	NOUN
ejpam-6439	250	7	tables	table	NOUN
ejpam-6439	250	8	.	.	PUNCT
ejpam-6439	251	1	journal	journal	NOUN
ejpam-6439	251	2	of	of	ADP
ejpam-6439	251	3	the	the	DET
ejpam-6439	251	4	american	american	PROPN
ejpam-6439	251	5	statistical	statistical	PROPN
ejpam-6439	251	6	association	association	NOUN
ejpam-6439	251	7	,	,	PUNCT
ejpam-6439	251	8	43(244):572–574	43(244):572–574	PROPN
ejpam-6439	251	9	,	,	PUNCT
ejpam-6439	251	10	1948	1948	NUM
ejpam-6439	251	11	.	.	PUNCT
ejpam-6439	252	1	[	[	X
ejpam-6439	252	2	2	2	X
ejpam-6439	252	3	]	]	PUNCT
ejpam-6439	252	4	p	p	X
ejpam-6439	252	5	mccullagh	mccullagh	NOUN
ejpam-6439	252	6	.	.	PUNCT
ejpam-6439	253	1	a	a	DET
ejpam-6439	253	2	class	class	NOUN
ejpam-6439	253	3	of	of	ADP
ejpam-6439	253	4	parametric	parametric	ADJ
ejpam-6439	253	5	models	model	NOUN
ejpam-6439	253	6	for	for	ADP
ejpam-6439	253	7	the	the	DET
ejpam-6439	253	8	analysis	analysis	NOUN
ejpam-6439	253	9	of	of	ADP
ejpam-6439	253	10	square	square	ADJ
ejpam-6439	253	11	contingency	contingency	NOUN
ejpam-6439	253	12	tables	table	NOUN
ejpam-6439	253	13	with	with	ADP
ejpam-6439	253	14	ordered	order	VERB
ejpam-6439	253	15	categories	category	NOUN
ejpam-6439	253	16	.	.	PUNCT
ejpam-6439	254	1	biometrika	biometrika	NOUN
ejpam-6439	254	2	,	,	PUNCT
ejpam-6439	254	3	65(2):413–418	65(2):413–418	NOUN
ejpam-6439	254	4	,	,	PUNCT
ejpam-6439	254	5	1978	1978	NUM
ejpam-6439	254	6	.	.	PUNCT
ejpam-6439	255	1	[	[	X
ejpam-6439	255	2	3	3	X
ejpam-6439	255	3	]	]	X
ejpam-6439	255	4	a	a	DET
ejpam-6439	255	5	goodman	goodman	PROPN
ejpam-6439	255	6	.	.	PUNCT
ejpam-6439	256	1	multiplicative	multiplicative	ADJ
ejpam-6439	256	2	models	model	NOUN
ejpam-6439	256	3	for	for	ADP
ejpam-6439	256	4	square	square	ADJ
ejpam-6439	256	5	contingency	contingency	NOUN
ejpam-6439	256	6	tables	table	NOUN
ejpam-6439	256	7	with	with	ADP
ejpam-6439	256	8	ordered	order	VERB
ejpam-6439	256	9	categories	category	NOUN
ejpam-6439	256	10	.	.	PUNCT
ejpam-6439	257	1	biometrika	biometrika	PROPN
ejpam-6439	257	2	,	,	PUNCT
ejpam-6439	257	3	66(3):413–418	66(3):413–418	PROPN
ejpam-6439	257	4	,	,	PUNCT
ejpam-6439	257	5	1979	1979	NUM
ejpam-6439	257	6	.	.	PUNCT
ejpam-6439	258	1	[	[	X
ejpam-6439	258	2	4	4	X
ejpam-6439	258	3	]	]	X
ejpam-6439	258	4	a	a	DET
ejpam-6439	258	5	agresti	agresti	NOUN
ejpam-6439	258	6	.	.	PUNCT
ejpam-6439	259	1	a	a	DET
ejpam-6439	259	2	simple	simple	ADJ
ejpam-6439	259	3	diagonals	diagonal	NOUN
ejpam-6439	259	4	-	-	PUNCT
ejpam-6439	259	5	parameter	parameter	NOUN
ejpam-6439	259	6	symmetry	symmetry	NOUN
ejpam-6439	259	7	and	and	CCONJ
ejpam-6439	259	8	quasi	quasi	ADJ
ejpam-6439	259	9	-	-	ADJ
ejpam-6439	259	10	symmetry	symmetry	ADJ
ejpam-6439	259	11	model	model	NOUN
ejpam-6439	259	12	.	.	PUNCT
ejpam-6439	260	1	statistics	statistic	NOUN
ejpam-6439	260	2	&	&	CCONJ
ejpam-6439	260	3	probability	probability	NOUN
ejpam-6439	260	4	letters	letter	NOUN
ejpam-6439	260	5	,	,	PUNCT
ejpam-6439	260	6	1(6):313–316	1(6):313–316	NUM
ejpam-6439	260	7	,	,	PUNCT
ejpam-6439	260	8	1983	1983	NUM
ejpam-6439	260	9	.	.	PUNCT
ejpam-6439	261	1	[	[	X
ejpam-6439	261	2	5	5	NUM
ejpam-6439	261	3	]	]	X
ejpam-6439	261	4	k	k	PROPN
ejpam-6439	261	5	iki	iki	PROPN
ejpam-6439	261	6	.	.	PUNCT
ejpam-6439	261	7	analysis	analysis	NOUN
ejpam-6439	261	8	of	of	ADP
ejpam-6439	261	9	the	the	DET
ejpam-6439	261	10	grip	grip	NOUN
ejpam-6439	261	11	strength	strength	NOUN
ejpam-6439	261	12	data	datum	NOUN
ejpam-6439	261	13	using	use	VERB
ejpam-6439	261	14	anti	anti	ADJ
ejpam-6439	261	15	-	-	ADJ
ejpam-6439	261	16	diagonal	diagonal	ADJ
ejpam-6439	261	17	symmetry	symmetry	NOUN
ejpam-6439	261	18	models	model	NOUN
ejpam-6439	261	19	.	.	PUNCT
ejpam-6439	262	1	open	open	ADJ
ejpam-6439	262	2	journal	journal	PROPN
ejpam-6439	262	3	of	of	ADP
ejpam-6439	262	4	statistics	statistic	NOUN
ejpam-6439	262	5	,	,	PUNCT
ejpam-6439	262	6	6(04):590	6(04):590	NUM
ejpam-6439	262	7	,	,	PUNCT
ejpam-6439	262	8	2016	2016	NUM
ejpam-6439	262	9	.	.	PUNCT
ejpam-6439	263	1	[	[	X
ejpam-6439	263	2	6	6	NUM
ejpam-6439	263	3	]	]	SYM
ejpam-6439	263	4	s	s	PART
ejpam-6439	263	5	tomizawa	tomizawa	PROPN
ejpam-6439	263	6	.	.	PUNCT
ejpam-6439	264	1	four	four	NUM
ejpam-6439	264	2	kinds	kind	NOUN
ejpam-6439	264	3	of	of	ADP
ejpam-6439	264	4	symmetry	symmetry	NOUN
ejpam-6439	264	5	models	model	NOUN
ejpam-6439	264	6	and	and	CCONJ
ejpam-6439	264	7	their	their	PRON
ejpam-6439	264	8	decompositions	decomposition	NOUN
ejpam-6439	264	9	in	in	ADP
ejpam-6439	264	10	a	a	DET
ejpam-6439	264	11	square	square	ADJ
ejpam-6439	264	12	contingency	contingency	NOUN
ejpam-6439	264	13	table	table	NOUN
ejpam-6439	264	14	with	with	ADP
ejpam-6439	264	15	ordered	order	VERB
ejpam-6439	264	16	categories	category	NOUN
ejpam-6439	264	17	.	.	PUNCT
ejpam-6439	265	1	biometrical	biometrical	ADJ
ejpam-6439	265	2	journal	journal	PROPN
ejpam-6439	265	3	,	,	PUNCT
ejpam-6439	265	4	28(4):387–393	28(4):387–393	PROPN
ejpam-6439	265	5	,	,	PUNCT
ejpam-6439	265	6	1986	1986	NUM
ejpam-6439	265	7	.	.	PUNCT
ejpam-6439	266	1	[	[	X
ejpam-6439	266	2	7	7	NUM
ejpam-6439	266	3	]	]	X
ejpam-6439	266	4	s	s	X
ejpam-6439	266	5	ando	ando	PROPN
ejpam-6439	266	6	.	.	PUNCT
ejpam-6439	267	1	anti	anti	ADJ
ejpam-6439	267	2	-	-	ADJ
ejpam-6439	267	3	diagonals	diagonal	NOUN
ejpam-6439	267	4	-	-	PUNCT
ejpam-6439	267	5	parameter	parameter	NOUN
ejpam-6439	267	6	symmetry	symmetry	NOUN
ejpam-6439	267	7	model	model	NOUN
ejpam-6439	267	8	for	for	ADP
ejpam-6439	267	9	square	square	ADJ
ejpam-6439	267	10	contingency	contingency	NOUN
ejpam-6439	267	11	tables	table	NOUN
ejpam-6439	267	12	with	with	ADP
ejpam-6439	267	13	ordinal	ordinal	ADJ
ejpam-6439	267	14	classifications	classification	NOUN
ejpam-6439	267	15	.	.	PUNCT
ejpam-6439	268	1	european	european	ADJ
ejpam-6439	268	2	journal	journal	PROPN
ejpam-6439	268	3	of	of	ADP
ejpam-6439	268	4	pure	pure	ADJ
ejpam-6439	268	5	and	and	CCONJ
ejpam-6439	268	6	applied	applied	ADJ
ejpam-6439	268	7	mathematics	mathematic	NOUN
ejpam-6439	268	8	,	,	PUNCT
ejpam-6439	268	9	19(2):6079	19(2):6079	NUM
ejpam-6439	268	10	,	,	PUNCT
ejpam-6439	268	11	1–14	1–14	PROPN
ejpam-6439	268	12	,	,	PUNCT
ejpam-6439	268	13	2025	2025	NUM
ejpam-6439	268	14	.	.	PUNCT
ejpam-6439	269	1	[	[	X
ejpam-6439	269	2	8	8	NUM
ejpam-6439	269	3	]	]	SYM
ejpam-6439	269	4	s	s	PART
ejpam-6439	269	5	tomizawa	tomizawa	PROPN
ejpam-6439	269	6	,	,	PUNCT
ejpam-6439	269	7	n	n	DET
ejpam-6439	269	8	miyamoto	miyamoto	NOUN
ejpam-6439	269	9	,	,	PUNCT
ejpam-6439	269	10	and	and	CCONJ
ejpam-6439	269	11	n	n	PRON
ejpam-6439	269	12	ashihara	ashihara	ADJ
ejpam-6439	269	13	.	.	PUNCT
ejpam-6439	270	1	measure	measure	NOUN
ejpam-6439	270	2	of	of	ADP
ejpam-6439	270	3	departure	departure	NOUN
ejpam-6439	270	4	from	from	ADP
ejpam-6439	270	5	marginal	marginal	ADJ
ejpam-6439	270	6	homogeneity	homogeneity	NOUN
ejpam-6439	270	7	for	for	ADP
ejpam-6439	270	8	square	square	ADJ
ejpam-6439	270	9	contingency	contingency	NOUN
ejpam-6439	270	10	tables	table	NOUN
ejpam-6439	270	11	having	having	AUX
ejpam-6439	270	12	ordered	order	VERB
ejpam-6439	270	13	categories	category	NOUN
ejpam-6439	270	14	.	.	PUNCT
ejpam-6439	271	1	behaviormetrika	behaviormetrika	PROPN
ejpam-6439	271	2	,	,	PUNCT
ejpam-6439	271	3	30(2):173–193	30(2):173–193	NUM
ejpam-6439	271	4	,	,	PUNCT
ejpam-6439	271	5	2003	2003	NUM
ejpam-6439	271	6	.	.	PUNCT
ejpam-6439	272	1	[	[	X
ejpam-6439	272	2	9	9	NUM
ejpam-6439	272	3	]	]	PUNCT
ejpam-6439	272	4	h	h	NOUN
ejpam-6439	272	5	kurakami	kurakami	NOUN
ejpam-6439	272	6	,	,	PUNCT
ejpam-6439	272	7	n	n	CCONJ
ejpam-6439	272	8	negishi	negishi	NOUN
ejpam-6439	272	9	,	,	PUNCT
ejpam-6439	272	10	and	and	CCONJ
ejpam-6439	272	11	s	s	VERB
ejpam-6439	272	12	tomizawa	tomizawa	NOUN
ejpam-6439	272	13	.	.	PUNCT
ejpam-6439	273	1	on	on	ADP
ejpam-6439	273	2	decomposition	decomposition	NOUN
ejpam-6439	273	3	of	of	ADP
ejpam-6439	273	4	point	point	NOUN
ejpam-6439	273	5	-	-	PUNCT
ejpam-6439	273	6	symmetry	symmetry	NOUN
ejpam-6439	273	7	for	for	ADP
ejpam-6439	273	8	square	square	ADJ
ejpam-6439	273	9	contingency	contingency	NOUN
ejpam-6439	273	10	tables	table	NOUN
ejpam-6439	273	11	with	with	ADP
ejpam-6439	273	12	ordered	order	VERB
ejpam-6439	273	13	categories	category	NOUN
ejpam-6439	273	14	.	.	PUNCT
ejpam-6439	274	1	journal	journal	PROPN
ejpam-6439	274	2	of	of	ADP
ejpam-6439	274	3	statistics	statistic	NOUN
ejpam-6439	274	4	:	:	PUNCT
ejpam-6439	274	5	advances	advance	NOUN
ejpam-6439	274	6	in	in	ADP
ejpam-6439	274	7	theory	theory	NOUN
ejpam-6439	274	8	and	and	CCONJ
ejpam-6439	274	9	applications	application	NOUN
ejpam-6439	274	10	,	,	PUNCT
ejpam-6439	274	11	17(1):33–42	17(1):33–42	NUM
ejpam-6439	274	12	,	,	PUNCT
ejpam-6439	274	13	2017	2017	NUM
ejpam-6439	274	14	.	.	PUNCT
ejpam-6439	275	1	[	[	X
ejpam-6439	275	2	10	10	NUM
ejpam-6439	275	3	]	]	PUNCT
ejpam-6439	275	4	n	n	PRON
ejpam-6439	275	5	darroch	darroch	NOUN
ejpam-6439	275	6	and	and	CCONJ
ejpam-6439	275	7	d	d	NOUN
ejpam-6439	275	8	silvey	silvey	NOUN
ejpam-6439	275	9	.	.	PUNCT
ejpam-6439	276	1	on	on	ADP
ejpam-6439	276	2	testing	test	VERB
ejpam-6439	276	3	more	more	ADJ
ejpam-6439	276	4	than	than	ADP
ejpam-6439	276	5	one	one	NUM
ejpam-6439	276	6	hypothesis	hypothesis	NOUN
ejpam-6439	276	7	.	.	PUNCT
ejpam-6439	277	1	the	the	DET
ejpam-6439	277	2	annals	annal	NOUN
ejpam-6439	277	3	of	of	ADP
ejpam-6439	277	4	mathematical	mathematical	ADJ
ejpam-6439	277	5	statistics	statistic	NOUN
ejpam-6439	277	6	,	,	PUNCT
ejpam-6439	277	7	34:555–567	34:555–567	NUM
ejpam-6439	277	8	,	,	PUNCT
ejpam-6439	277	9	1963	1963	NUM
ejpam-6439	277	10	.	.	PUNCT
ejpam-6439	278	1	[	[	X
ejpam-6439	278	2	11	11	NUM
ejpam-6439	278	3	]	]	X
ejpam-6439	278	4	k	k	PROPN
ejpam-6439	278	5	tahata	tahata	PROPN
ejpam-6439	278	6	,	,	PUNCT
ejpam-6439	278	7	s	s	NOUN
ejpam-6439	278	8	ando	ando	X
ejpam-6439	278	9	,	,	PUNCT
ejpam-6439	278	10	and	and	CCONJ
ejpam-6439	278	11	s	s	VERB
ejpam-6439	278	12	tomizawa	tomizawa	NOUN
ejpam-6439	278	13	.	.	PUNCT
ejpam-6439	279	1	ridit	ridit	NOUN
ejpam-6439	279	2	score	score	NOUN
ejpam-6439	279	3	type	type	NOUN
ejpam-6439	279	4	asymmetry	asymmetry	NOUN
ejpam-6439	279	5	model	model	NOUN
ejpam-6439	279	6	and	and	CCONJ
ejpam-6439	279	7	decomposition	decomposition	NOUN
ejpam-6439	279	8	of	of	ADP
ejpam-6439	279	9	symmetry	symmetry	NOUN
ejpam-6439	279	10	for	for	ADP
ejpam-6439	279	11	square	square	ADJ
ejpam-6439	279	12	contingency	contingency	NOUN
ejpam-6439	279	13	tables	table	NOUN
ejpam-6439	279	14	.	.	PUNCT
ejpam-6439	280	1	model	model	PROPN
ejpam-6439	280	2	assisted	assist	VERB
ejpam-6439	280	3	statistics	statistic	NOUN
ejpam-6439	280	4	and	and	CCONJ
ejpam-6439	280	5	applications	application	NOUN
ejpam-6439	280	6	,	,	PUNCT
ejpam-6439	280	7	6:279–286	6:279–286	NUM
ejpam-6439	280	8	,	,	PUNCT
ejpam-6439	280	9	2011	2011	NUM
ejpam-6439	280	10	.	.	PUNCT
ejpam-6439	281	1	s.	s.	PROPN
ejpam-6439	281	2	ando	ando	PROPN
ejpam-6439	281	3	/	/	SYM
ejpam-6439	281	4	eur	eur	PROPN
ejpam-6439	281	5	.	.	PUNCT
ejpam-6439	282	1	j.	j.	PROPN
ejpam-6439	282	2	pure	pure	PROPN
ejpam-6439	282	3	appl	appl	PROPN
ejpam-6439	282	4	.	.	PROPN
ejpam-6439	282	5	math	math	PROPN
ejpam-6439	282	6	,	,	PUNCT
ejpam-6439	282	7	18	18	NUM
ejpam-6439	282	8	(	(	PUNCT
ejpam-6439	282	9	4	4	NUM
ejpam-6439	282	10	)	)	PUNCT
ejpam-6439	282	11	(	(	PUNCT
ejpam-6439	282	12	2025	2025	NUM
ejpam-6439	282	13	)	)	PUNCT
ejpam-6439	282	14	,	,	PUNCT
ejpam-6439	282	15	6439	6439	NUM
ejpam-6439	282	16	13	13	NUM
ejpam-6439	282	17	of	of	ADP
ejpam-6439	282	18	13	13	NUM
ejpam-6439	283	1	[	[	X
ejpam-6439	283	2	12	12	NUM
ejpam-6439	283	3	]	]	X
ejpam-6439	283	4	m	m	VERB
ejpam-6439	283	5	haber	haber	PROPN
ejpam-6439	283	6	.	.	PUNCT
ejpam-6439	284	1	maximum	maximum	ADJ
ejpam-6439	284	2	likelihood	likelihood	NOUN
ejpam-6439	284	3	methods	method	NOUN
ejpam-6439	284	4	for	for	ADP
ejpam-6439	284	5	linear	linear	NOUN
ejpam-6439	284	6	and	and	CCONJ
ejpam-6439	284	7	log	log	NOUN
ejpam-6439	284	8	-	-	PUNCT
ejpam-6439	284	9	linear	linear	NOUN
ejpam-6439	284	10	models	model	NOUN
ejpam-6439	284	11	in	in	ADP
ejpam-6439	284	12	categorical	categorical	ADJ
ejpam-6439	284	13	data	datum	NOUN
ejpam-6439	284	14	.	.	PUNCT
ejpam-6439	285	1	computational	computational	ADJ
ejpam-6439	285	2	statistics	statistic	NOUN
ejpam-6439	285	3	and	and	CCONJ
ejpam-6439	285	4	data	datum	NOUN
ejpam-6439	285	5	analysis	analysis	NOUN
ejpam-6439	285	6	,	,	PUNCT
ejpam-6439	285	7	3:1–10	3:1–10	NUM
ejpam-6439	285	8	,	,	PUNCT
ejpam-6439	285	9	1985	1985	NUM
ejpam-6439	285	10	.	.	PUNCT
ejpam-6439	286	1	[	[	X
ejpam-6439	286	2	13	13	NUM
ejpam-6439	286	3	]	]	X
ejpam-6439	286	4	j	j	PROPN
ejpam-6439	286	5	lang	lang	PROPN
ejpam-6439	286	6	and	and	CCONJ
ejpam-6439	286	7	a	a	DET
ejpam-6439	286	8	agresti	agresti	NOUN
ejpam-6439	286	9	.	.	PUNCT
ejpam-6439	287	1	simultaneously	simultaneously	ADV
ejpam-6439	287	2	modeling	model	VERB
ejpam-6439	287	3	joint	joint	ADJ
ejpam-6439	287	4	and	and	CCONJ
ejpam-6439	287	5	marginal	marginal	ADJ
ejpam-6439	287	6	distributions	distribution	NOUN
ejpam-6439	287	7	of	of	ADP
ejpam-6439	287	8	multivariate	multivariate	NOUN
ejpam-6439	287	9	categorical	categorical	ADJ
ejpam-6439	287	10	responses	response	NOUN
ejpam-6439	287	11	.	.	PUNCT
ejpam-6439	288	1	journal	journal	NOUN
ejpam-6439	288	2	of	of	ADP
ejpam-6439	288	3	the	the	DET
ejpam-6439	288	4	american	american	PROPN
ejpam-6439	288	5	statistical	statistical	PROPN
ejpam-6439	288	6	association	association	NOUN
ejpam-6439	288	7	,	,	PUNCT
ejpam-6439	288	8	89(426):625–632	89(426):625–632	PROPN
ejpam-6439	288	9	,	,	PUNCT
ejpam-6439	288	10	1994	1994	NUM
ejpam-6439	288	11	.	.	PUNCT
ejpam-6439	289	1	[	[	X
ejpam-6439	289	2	14	14	NUM
ejpam-6439	289	3	]	]	X
ejpam-6439	289	4	k	k	PROPN
ejpam-6439	289	5	yamamoto	yamamoto	PROPN
ejpam-6439	289	6	,	,	PUNCT
ejpam-6439	289	7	m	m	PROPN
ejpam-6439	289	8	aizawa	aizawa	PROPN
ejpam-6439	289	9	,	,	PUNCT
ejpam-6439	289	10	and	and	CCONJ
ejpam-6439	289	11	s	s	VERB
ejpam-6439	289	12	tomizawa	tomizawa	PROPN
ejpam-6439	289	13	.	.	PUNCT
ejpam-6439	290	1	measure	measure	NOUN
ejpam-6439	290	2	of	of	ADP
ejpam-6439	290	3	departure	departure	NOUN
ejpam-6439	290	4	from	from	ADP
ejpam-6439	290	5	sum	sum	NOUN
ejpam-6439	290	6	-	-	PUNCT
ejpam-6439	290	7	symmetry	symmetry	NOUN
ejpam-6439	290	8	model	model	NOUN
ejpam-6439	290	9	for	for	ADP
ejpam-6439	290	10	square	square	ADJ
ejpam-6439	290	11	contingency	contingency	NOUN
ejpam-6439	290	12	tables	table	NOUN
ejpam-6439	290	13	with	with	ADP
ejpam-6439	290	14	ordered	order	VERB
ejpam-6439	290	15	categories	category	NOUN
ejpam-6439	290	16	.	.	PUNCT
ejpam-6439	291	1	journal	journal	PROPN
ejpam-6439	291	2	of	of	ADP
ejpam-6439	291	3	statistics	statistic	NOUN
ejpam-6439	291	4	:	:	PUNCT
ejpam-6439	291	5	advances	advance	NOUN
ejpam-6439	291	6	in	in	ADP
ejpam-6439	291	7	theory	theory	NOUN
ejpam-6439	291	8	and	and	CCONJ
ejpam-6439	291	9	applications	application	NOUN
ejpam-6439	291	10	,	,	PUNCT
ejpam-6439	291	11	16:17–43	16:17–43	NUM
ejpam-6439	291	12	,	,	PUNCT
ejpam-6439	291	13	2016	2016	NUM
ejpam-6439	291	14	.	.	PUNCT
ejpam-6439	292	1	[	[	X
ejpam-6439	292	2	15	15	NUM
ejpam-6439	292	3	]	]	X
ejpam-6439	292	4	s	s	X
ejpam-6439	292	5	ando	ando	PROPN
ejpam-6439	292	6	.	.	PUNCT
ejpam-6439	293	1	an	an	DET
ejpam-6439	293	2	anti	anti	ADJ
ejpam-6439	293	3	-	-	ADJ
ejpam-6439	293	4	sum	sum	ADJ
ejpam-6439	293	5	-	-	PUNCT
ejpam-6439	293	6	symmetry	symmetry	NOUN
ejpam-6439	293	7	model	model	NOUN
ejpam-6439	293	8	and	and	CCONJ
ejpam-6439	293	9	its	its	PRON
ejpam-6439	293	10	orthogonal	orthogonal	ADJ
ejpam-6439	293	11	decomposition	decomposition	NOUN
ejpam-6439	293	12	for	for	ADP
ejpam-6439	293	13	ordinal	ordinal	ADJ
ejpam-6439	293	14	square	square	ADJ
ejpam-6439	293	15	contingency	contingency	NOUN
ejpam-6439	293	16	tables	table	NOUN
ejpam-6439	293	17	with	with	ADP
ejpam-6439	293	18	an	an	DET
ejpam-6439	293	19	application	application	NOUN
ejpam-6439	293	20	to	to	PART
ejpam-6439	293	21	grip	grip	NOUN
ejpam-6439	293	22	strength	strength	NOUN
ejpam-6439	293	23	test	test	NOUN
ejpam-6439	293	24	data	data	PROPN
ejpam-6439	293	25	.	.	PUNCT
ejpam-6439	294	1	biometrical	biometrical	ADJ
ejpam-6439	294	2	letters	letter	NOUN
ejpam-6439	294	3	,	,	PUNCT
ejpam-6439	294	4	58(1):59–68	58(1):59–68	NUM
ejpam-6439	294	5	,	,	PUNCT
ejpam-6439	294	6	2021	2021	NUM
ejpam-6439	294	7	.	.	PUNCT
ejpam-6439	295	1	[	[	X
ejpam-6439	295	2	16	16	NUM
ejpam-6439	295	3	]	]	X
ejpam-6439	295	4	s	s	X
ejpam-6439	295	5	ando	ando	PROPN
ejpam-6439	295	6	.	.	PUNCT
ejpam-6439	296	1	anti	anti	ADJ
ejpam-6439	296	2	-	-	ADJ
ejpam-6439	296	3	sum	sum	ADJ
ejpam-6439	296	4	-	-	PUNCT
ejpam-6439	296	5	asymmetry	asymmetry	NOUN
ejpam-6439	296	6	models	model	NOUN
ejpam-6439	296	7	and	and	CCONJ
ejpam-6439	296	8	orthogonal	orthogonal	ADJ
ejpam-6439	296	9	decomposition	decomposition	NOUN
ejpam-6439	296	10	of	of	ADP
ejpam-6439	296	11	anti	anti	ADJ
ejpam-6439	296	12	-	-	ADJ
ejpam-6439	296	13	sumsymmetry	sumsymmetry	ADJ
ejpam-6439	296	14	model	model	NOUN
ejpam-6439	296	15	for	for	ADP
ejpam-6439	296	16	ordinal	ordinal	ADJ
ejpam-6439	296	17	square	square	ADJ
ejpam-6439	296	18	contingency	contingency	NOUN
ejpam-6439	296	19	tables	table	NOUN
ejpam-6439	296	20	.	.	PUNCT
ejpam-6439	297	1	austrian	austrian	ADJ
ejpam-6439	297	2	journal	journal	PROPN
ejpam-6439	297	3	of	of	ADP
ejpam-6439	297	4	statistics	statistic	NOUN
ejpam-6439	297	5	,	,	PUNCT
ejpam-6439	297	6	52(1):72–86	52(1):72–86	NUM
ejpam-6439	297	7	,	,	PUNCT
ejpam-6439	297	8	2023	2023	NUM
ejpam-6439	297	9	.	.	PUNCT
ejpam-6439	298	1	[	[	X
ejpam-6439	298	2	17	17	NUM
ejpam-6439	298	3	]	]	PUNCT
ejpam-6439	298	4	a	a	DET
ejpam-6439	298	5	agresti	agresti	NOUN
ejpam-6439	298	6	.	.	PUNCT
ejpam-6439	299	1	an	an	DET
ejpam-6439	299	2	introduction	introduction	NOUN
ejpam-6439	299	3	to	to	ADP
ejpam-6439	299	4	categorical	categorical	ADJ
ejpam-6439	299	5	data	datum	NOUN
ejpam-6439	299	6	analysis	analysis	NOUN
ejpam-6439	299	7	.	.	PUNCT
ejpam-6439	300	1	wiley	wiley	PROPN
ejpam-6439	300	2	,	,	PUNCT
ejpam-6439	300	3	hoboken	hoboken	PROPN
ejpam-6439	300	4	,	,	PUNCT
ejpam-6439	300	5	new	new	PROPN
ejpam-6439	300	6	jersey	jersey	PROPN
ejpam-6439	300	7	,	,	PUNCT
ejpam-6439	300	8	3	3	NUM
ejpam-6439	300	9	edition	edition	NOUN
ejpam-6439	300	10	,	,	PUNCT
ejpam-6439	300	11	2018	2018	NUM
ejpam-6439	300	12	.	.	PUNCT
ejpam-6439	301	1	[	[	X
ejpam-6439	301	2	18	18	NUM
ejpam-6439	301	3	]	]	X
ejpam-6439	301	4	h	h	NOUN
ejpam-6439	301	5	akaike	akaike	ADJ
ejpam-6439	301	6	.	.	PUNCT
ejpam-6439	302	1	a	a	DET
ejpam-6439	302	2	new	new	ADJ
ejpam-6439	302	3	look	look	NOUN
ejpam-6439	302	4	at	at	ADP
ejpam-6439	302	5	the	the	DET
ejpam-6439	302	6	statistical	statistical	ADJ
ejpam-6439	302	7	model	model	NOUN
ejpam-6439	302	8	identification	identification	NOUN
ejpam-6439	302	9	.	.	PUNCT
ejpam-6439	303	1	ieee	ieee	NOUN
ejpam-6439	303	2	transactions	transaction	NOUN
ejpam-6439	303	3	on	on	ADP
ejpam-6439	303	4	automatic	automatic	ADJ
ejpam-6439	303	5	control	control	NOUN
ejpam-6439	303	6	,	,	PUNCT
ejpam-6439	303	7	19(6):716–723	19(6):716–723	NUM
ejpam-6439	303	8	,	,	PUNCT
ejpam-6439	303	9	1974	1974	NUM
ejpam-6439	303	10	.	.	PUNCT
ejpam-6439	304	1	[	[	X
ejpam-6439	304	2	19	19	NUM
ejpam-6439	304	3	]	]	X
ejpam-6439	304	4	g	g	PROPN
ejpam-6439	304	5	schwarz	schwarz	PROPN
ejpam-6439	304	6	.	.	PUNCT
ejpam-6439	304	7	estimating	estimate	VERB
ejpam-6439	304	8	the	the	DET
ejpam-6439	304	9	dimension	dimension	NOUN
ejpam-6439	304	10	of	of	ADP
ejpam-6439	304	11	a	a	DET
ejpam-6439	304	12	model	model	NOUN
ejpam-6439	304	13	.	.	PUNCT
ejpam-6439	305	1	annals	annal	NOUN
ejpam-6439	305	2	of	of	ADP
ejpam-6439	305	3	statistics	statistic	NOUN
ejpam-6439	305	4	,	,	PUNCT
ejpam-6439	305	5	6(2):461–464	6(2):461–464	NUM
ejpam-6439	305	6	,	,	PUNCT
ejpam-6439	305	7	1978	1978	NUM
ejpam-6439	305	8	.	.	PUNCT
ejpam-6439	306	1	[	[	X
ejpam-6439	306	2	20	20	NUM
ejpam-6439	306	3	]	]	SYM
ejpam-6439	306	4	s	s	PART
ejpam-6439	306	5	tomizawa	tomizawa	PROPN
ejpam-6439	306	6	.	.	PUNCT
ejpam-6439	307	1	an	an	DET
ejpam-6439	307	2	extended	extended	ADJ
ejpam-6439	307	3	linear	linear	NOUN
ejpam-6439	307	4	diagonals	diagonal	NOUN
ejpam-6439	307	5	-	-	PUNCT
ejpam-6439	307	6	parameter	parameter	NOUN
ejpam-6439	307	7	symmetry	symmetry	NOUN
ejpam-6439	307	8	model	model	NOUN
ejpam-6439	307	9	for	for	ADP
ejpam-6439	307	10	square	square	ADJ
ejpam-6439	307	11	contingency	contingency	NOUN
ejpam-6439	307	12	tables	table	NOUN
ejpam-6439	307	13	with	with	ADP
ejpam-6439	307	14	ordered	order	VERB
ejpam-6439	307	15	categories	category	NOUN
ejpam-6439	307	16	.	.	PUNCT
ejpam-6439	308	1	metron	metron	PROPN
ejpam-6439	308	2	,	,	PUNCT
ejpam-6439	308	3	49:401–409	49:401–409	NUM
ejpam-6439	308	4	,	,	PUNCT
ejpam-6439	308	5	1991	1991	NUM
ejpam-6439	308	6	.	.	PUNCT