id	sid	tid	token	lemma	pos
amfbr-346	1	1	copyright	copyright	NOUN
amfbr-346	1	2	©	©	PROPN
amfbr-346	1	3	cc	cc	PROPN
amfbr-346	1	4	-	-	PUNCT
amfbr-346	1	5	by	by	ADP
amfbr-346	1	6	-	-	PUNCT
amfbr-346	1	7	nc	nc	PROPN
amfbr-346	1	8	2019	2019	NUM
amfbr-346	1	9	,	,	PUNCT
amfbr-346	1	10	cribfb	cribfb	PROPN
amfbr-346	1	11	|	|	ADV
amfbr-346	1	12	amfbr	amfbr	PROPN
amfbr-346	1	13	american	american	PROPN
amfbr-346	1	14	finance	finance	PROPN
amfbr-346	1	15	&	&	CCONJ
amfbr-346	1	16	banking	banking	PROPN
amfbr-346	1	17	review	review	PROPN
amfbr-346	1	18	;	;	PUNCT
amfbr-346	1	19	vol	vol	NOUN
amfbr-346	1	20	.	.	NOUN
amfbr-346	1	21	4	4	NUM
amfbr-346	1	22	,	,	PUNCT
amfbr-346	1	23	no	no	INTJ
amfbr-346	1	24	.	.	NOUN
amfbr-346	1	25	2	2	NUM
amfbr-346	1	26	;	;	PUNCT
amfbr-346	1	27	2019	2019	NUM
amfbr-346	1	28	issn	issn	VERB
amfbr-346	1	29	2576	2576	NUM
amfbr-346	1	30	-	-	SYM
amfbr-346	1	31	1226	1226	NUM
amfbr-346	1	32	e	e	NOUN
amfbr-346	1	33	-	-	NOUN
amfbr-346	1	34	issn	issn	PROPN
amfbr-346	1	35	2576	2576	NUM
amfbr-346	1	36	-	-	SYM
amfbr-346	1	37	1234	1234	NUM
amfbr-346	1	38	published	publish	VERB
amfbr-346	1	39	by	by	ADP
amfbr-346	1	40	centre	centre	NOUN
amfbr-346	1	41	for	for	ADP
amfbr-346	1	42	research	research	NOUN
amfbr-346	1	43	on	on	ADP
amfbr-346	1	44	islamic	islamic	ADJ
amfbr-346	1	45	banking	banking	PROPN
amfbr-346	1	46	&	&	CCONJ
amfbr-346	1	47	finance	finance	PROPN
amfbr-346	1	48	and	and	CCONJ
amfbr-346	1	49	business	business	NOUN
amfbr-346	1	50	,	,	PUNCT
amfbr-346	1	51	usa	usa	PROPN
amfbr-346	1	52	11	11	NUM
amfbr-346	1	53	usa	usa	PROPN
amfbr-346	1	54	income	income	PROPN
amfbr-346	1	55	distribution	distribution	NOUN
amfbr-346	1	56	counter	counter	NOUN
amfbr-346	1	57	-	-	NOUN
amfbr-346	1	58	business	business	NOUN
amfbr-346	1	59	-	-	PUNCT
amfbr-346	1	60	cyclical	cyclical	ADJ
amfbr-346	1	61	trend	trend	NOUN
amfbr-346	1	62	(	(	PUNCT
amfbr-346	1	63	estimating	estimate	VERB
amfbr-346	1	64	lorenz	lorenz	PROPN
amfbr-346	1	65	curve	curve	NOUN
amfbr-346	1	66	using	use	VERB
amfbr-346	1	67	continuous	continuous	ADJ
amfbr-346	1	68	l1	l1	PROPN
amfbr-346	1	69	norm	norm	PROPN
amfbr-346	1	70	estimation	estimation	PROPN
amfbr-346	1	71	)	)	PUNCT
amfbr-346	1	72	bijan	bijan	PROPN
amfbr-346	1	73	bidabad	bidabad	NOUN
amfbr-346	1	74	professor	professor	NOUN
amfbr-346	1	75	economics	economic	NOUN
amfbr-346	1	76	and	and	CCONJ
amfbr-346	1	77	chief	chief	ADJ
amfbr-346	1	78	economic	economic	ADJ
amfbr-346	1	79	advisor	advisor	NOUN
amfbr-346	1	80	bank	bank	PROPN
amfbr-346	1	81	melli	melli	PROPN
amfbr-346	1	82	iran	iran	PROPN
amfbr-346	1	83	e	e	PROPN
amfbr-346	1	84	-	-	NOUN
amfbr-346	1	85	mail	mail	NOUN
amfbr-346	1	86	:	:	PUNCT
amfbr-346	1	87	bijan@bidabad.com	bijan@bidabad.com	X
amfbr-346	2	1	abstract	abstract	ADJ
amfbr-346	2	2	in	in	ADP
amfbr-346	2	3	this	this	DET
amfbr-346	2	4	paper	paper	NOUN
amfbr-346	2	5	,	,	PUNCT
amfbr-346	2	6	the	the	DET
amfbr-346	2	7	l1	l1	PROPN
amfbr-346	2	8	norm	norm	NOUN
amfbr-346	2	9	of	of	ADP
amfbr-346	2	10	continuous	continuous	ADJ
amfbr-346	2	11	functions	function	NOUN
amfbr-346	2	12	and	and	CCONJ
amfbr-346	2	13	corresponding	correspond	VERB
amfbr-346	2	14	continuous	continuous	ADJ
amfbr-346	2	15	estimation	estimation	NOUN
amfbr-346	2	16	of	of	ADP
amfbr-346	2	17	regression	regression	NOUN
amfbr-346	2	18	parameters	parameter	NOUN
amfbr-346	2	19	are	be	AUX
amfbr-346	2	20	defined	define	VERB
amfbr-346	2	21	.	.	PUNCT
amfbr-346	3	1	the	the	DET
amfbr-346	3	2	continuous	continuous	ADJ
amfbr-346	3	3	l1	l1	PROPN
amfbr-346	3	4	norm	norm	NOUN
amfbr-346	3	5	estimation	estimation	NOUN
amfbr-346	3	6	problems	problem	NOUN
amfbr-346	3	7	of	of	ADP
amfbr-346	3	8	linear	linear	PROPN
amfbr-346	3	9	one	one	NUM
amfbr-346	3	10	and	and	CCONJ
amfbr-346	3	11	two	two	NUM
amfbr-346	3	12	parameters	parameter	NOUN
amfbr-346	3	13	models	model	NOUN
amfbr-346	3	14	are	be	AUX
amfbr-346	3	15	solved	solve	VERB
amfbr-346	3	16	.	.	PUNCT
amfbr-346	4	1	we	we	PRON
amfbr-346	4	2	proceed	proceed	VERB
amfbr-346	4	3	to	to	PART
amfbr-346	4	4	use	use	VERB
amfbr-346	4	5	the	the	DET
amfbr-346	4	6	functional	functional	ADJ
amfbr-346	4	7	form	form	NOUN
amfbr-346	4	8	and	and	CCONJ
amfbr-346	4	9	parameters	parameter	NOUN
amfbr-346	4	10	of	of	ADP
amfbr-346	4	11	the	the	DET
amfbr-346	4	12	probability	probability	NOUN
amfbr-346	4	13	distribution	distribution	NOUN
amfbr-346	4	14	function	function	NOUN
amfbr-346	4	15	of	of	ADP
amfbr-346	4	16	income	income	NOUN
amfbr-346	4	17	to	to	PART
amfbr-346	4	18	exactly	exactly	ADV
amfbr-346	4	19	determine	determine	VERB
amfbr-346	4	20	the	the	DET
amfbr-346	4	21	l	l	NOUN
amfbr-346	4	22	1	1	NUM
amfbr-346	4	23	norm	norm	NOUN
amfbr-346	4	24	approximation	approximation	NOUN
amfbr-346	4	25	of	of	ADP
amfbr-346	4	26	the	the	DET
amfbr-346	4	27	corresponding	correspond	VERB
amfbr-346	4	28	lorenz	lorenz	PROPN
amfbr-346	4	29	curve	curve	NOUN
amfbr-346	4	30	of	of	ADP
amfbr-346	4	31	the	the	DET
amfbr-346	4	32	statistical	statistical	ADJ
amfbr-346	4	33	population	population	NOUN
amfbr-346	4	34	under	under	ADP
amfbr-346	4	35	consideration	consideration	NOUN
amfbr-346	4	36	.	.	PUNCT
amfbr-346	5	1	u.s	u.s	PROPN
amfbr-346	5	2	.	.	PROPN
amfbr-346	5	3	economic	economic	ADJ
amfbr-346	5	4	data	datum	NOUN
amfbr-346	5	5	used	use	VERB
amfbr-346	5	6	to	to	PART
amfbr-346	5	7	estimate	estimate	VERB
amfbr-346	5	8	income	income	NOUN
amfbr-346	5	9	distribution	distribution	NOUN
amfbr-346	5	10	.	.	PUNCT
amfbr-346	6	1	an	an	DET
amfbr-346	6	2	interesting	interesting	ADJ
amfbr-346	6	3	finding	finding	NOUN
amfbr-346	6	4	of	of	ADP
amfbr-346	6	5	these	these	DET
amfbr-346	6	6	calculations	calculation	NOUN
amfbr-346	6	7	is	be	AUX
amfbr-346	6	8	that	that	SCONJ
amfbr-346	6	9	the	the	DET
amfbr-346	6	10	distribution	distribution	NOUN
amfbr-346	6	11	of	of	ADP
amfbr-346	6	12	income	income	NOUN
amfbr-346	6	13	obeys	obey	NOUN
amfbr-346	6	14	counter	counter	ADJ
amfbr-346	6	15	-	-	ADJ
amfbr-346	6	16	wise	wise	ADJ
amfbr-346	6	17	business	business	NOUN
amfbr-346	6	18	cycles	cycle	NOUN
amfbr-346	6	19	fluctuations	fluctuation	NOUN
amfbr-346	6	20	.	.	PUNCT
amfbr-346	7	1	this	this	DET
amfbr-346	7	2	finding	finding	NOUN
amfbr-346	7	3	is	be	AUX
amfbr-346	7	4	a	a	DET
amfbr-346	7	5	new	new	ADJ
amfbr-346	7	6	area	area	NOUN
amfbr-346	7	7	for	for	ADP
amfbr-346	7	8	research	research	NOUN
amfbr-346	7	9	in	in	ADP
amfbr-346	7	10	the	the	DET
amfbr-346	7	11	realm	realm	NOUN
amfbr-346	7	12	of	of	ADP
amfbr-346	7	13	the	the	DET
amfbr-346	7	14	theory	theory	NOUN
amfbr-346	7	15	and	and	CCONJ
amfbr-346	7	16	application	application	NOUN
amfbr-346	7	17	of	of	ADP
amfbr-346	7	18	income	income	NOUN
amfbr-346	7	19	distribution	distribution	NOUN
amfbr-346	7	20	and	and	CCONJ
amfbr-346	7	21	business	business	NOUN
amfbr-346	7	22	cycles	cycle	NOUN
amfbr-346	7	23	interrelationship	interrelationship	NOUN
amfbr-346	7	24	.	.	PUNCT
amfbr-346	8	1	keywords	keyword	NOUN
amfbr-346	8	2	:	:	PUNCT
amfbr-346	8	3	income	income	NOUN
amfbr-346	8	4	distribution	distribution	NOUN
amfbr-346	8	5	,	,	PUNCT
amfbr-346	8	6	lorenz	lorenz	PROPN
amfbr-346	8	7	curve	curve	PROPN
amfbr-346	8	8	,	,	PUNCT
amfbr-346	8	9	l1	l1	PROPN
amfbr-346	8	10	norm	norm	PROPN
amfbr-346	8	11	statistics	statistic	NOUN
amfbr-346	8	12	,	,	PUNCT
amfbr-346	8	13	business	business	NOUN
amfbr-346	8	14	cycle	cycle	NOUN
amfbr-346	8	15	jel	jel	PROPN
amfbr-346	8	16	:	:	PUNCT
amfbr-346	8	17	c63	c63	PROPN
amfbr-346	8	18	1	1	NUM
amfbr-346	8	19	.	.	PUNCT
amfbr-346	9	1	introduction	introduction	NOUN
amfbr-346	9	2	the	the	DET
amfbr-346	9	3	skewness	skewness	NOUN
amfbr-346	9	4	of	of	ADP
amfbr-346	9	5	income	income	NOUN
amfbr-346	9	6	distribution	distribution	NOUN
amfbr-346	9	7	is	be	AUX
amfbr-346	9	8	persistently	persistently	ADV
amfbr-346	9	9	exhibited	exhibit	VERB
amfbr-346	9	10	for	for	ADP
amfbr-346	9	11	different	different	ADJ
amfbr-346	9	12	populations	population	NOUN
amfbr-346	9	13	and	and	CCONJ
amfbr-346	9	14	at	at	ADP
amfbr-346	9	15	different	different	ADJ
amfbr-346	9	16	times	time	NOUN
amfbr-346	9	17	.	.	PUNCT
amfbr-346	10	1	it	it	PRON
amfbr-346	10	2	is	be	AUX
amfbr-346	10	3	discussed	discuss	VERB
amfbr-346	10	4	that	that	SCONJ
amfbr-346	10	5	pearsonian	pearsonian	ADJ
amfbr-346	10	6	family	family	NOUN
amfbr-346	10	7	distributions	distribution	NOUN
amfbr-346	10	8	are	be	AUX
amfbr-346	10	9	rival	rival	ADJ
amfbr-346	10	10	functions	function	NOUN
amfbr-346	10	11	to	to	PART
amfbr-346	10	12	explain	explain	VERB
amfbr-346	10	13	income	income	NOUN
amfbr-346	10	14	distribution	distribution	NOUN
amfbr-346	10	15	.	.	PUNCT
amfbr-346	11	1	lorenz	lorenz	PROPN
amfbr-346	11	2	curve	curve	NOUN
amfbr-346	11	3	is	be	AUX
amfbr-346	11	4	a	a	DET
amfbr-346	11	5	method	method	NOUN
amfbr-346	11	6	to	to	PART
amfbr-346	11	7	analyze	analyze	VERB
amfbr-346	11	8	the	the	DET
amfbr-346	11	9	skew	skew	NOUN
amfbr-346	11	10	distributions	distribution	NOUN
amfbr-346	11	11	.	.	PUNCT
amfbr-346	12	1	there	there	PRON
amfbr-346	12	2	is	be	VERB
amfbr-346	12	3	a	a	DET
amfbr-346	12	4	relation	relation	NOUN
amfbr-346	12	5	between	between	ADP
amfbr-346	12	6	the	the	DET
amfbr-346	12	7	area	area	NOUN
amfbr-346	12	8	under	under	ADP
amfbr-346	12	9	the	the	DET
amfbr-346	12	10	lorenz	lorenz	PROPN
amfbr-346	12	11	curve	curve	NOUN
amfbr-346	12	12	and	and	CCONJ
amfbr-346	12	13	the	the	DET
amfbr-346	12	14	corresponding	corresponding	ADJ
amfbr-346	12	15	probability	probability	NOUN
amfbr-346	12	16	distribution	distribution	NOUN
amfbr-346	12	17	function	function	NOUN
amfbr-346	12	18	of	of	ADP
amfbr-346	12	19	the	the	DET
amfbr-346	12	20	statistical	statistical	ADJ
amfbr-346	12	21	population	population	NOUN
amfbr-346	12	22	(	(	PUNCT
amfbr-346	12	23	see	see	VERB
amfbr-346	12	24	,	,	PUNCT
amfbr-346	12	25	kendall	kendall	PROPN
amfbr-346	12	26	and	and	CCONJ
amfbr-346	12	27	stuart	stuart	PROPN
amfbr-346	12	28	(	(	PUNCT
amfbr-346	12	29	1977	1977	NUM
amfbr-346	12	30	)	)	PUNCT
amfbr-346	12	31	)	)	PUNCT
amfbr-346	12	32	.	.	PUNCT
amfbr-346	13	1	that	that	PRON
amfbr-346	13	2	is	be	AUX
amfbr-346	13	3	,	,	PUNCT
amfbr-346	13	4	when	when	SCONJ
amfbr-346	13	5	the	the	DET
amfbr-346	13	6	probability	probability	NOUN
amfbr-346	13	7	distribution	distribution	NOUN
amfbr-346	13	8	function	function	NOUN
amfbr-346	13	9	is	be	AUX
amfbr-346	13	10	known	know	VERB
amfbr-346	13	11	,	,	PUNCT
amfbr-346	13	12	we	we	PRON
amfbr-346	13	13	may	may	AUX
amfbr-346	13	14	find	find	VERB
amfbr-346	13	15	the	the	DET
amfbr-346	13	16	corresponding	corresponding	PROPN
amfbr-346	13	17	gini	gini	PROPN
amfbr-346	13	18	index	index	NOUN
amfbr-346	13	19	as	as	ADP
amfbr-346	13	20	the	the	DET
amfbr-346	13	21	measure	measure	NOUN
amfbr-346	13	22	of	of	ADP
amfbr-346	13	23	inequality	inequality	NOUN
amfbr-346	13	24	.	.	PUNCT
amfbr-346	14	1	estimation	estimation	NOUN
amfbr-346	14	2	of	of	ADP
amfbr-346	14	3	the	the	DET
amfbr-346	14	4	lorenz	lorenz	PROPN
amfbr-346	14	5	curve	curve	NOUN
amfbr-346	14	6	is	be	AUX
amfbr-346	14	7	confronted	confront	VERB
amfbr-346	14	8	with	with	ADP
amfbr-346	14	9	some	some	DET
amfbr-346	14	10	difficulties	difficulty	NOUN
amfbr-346	14	11	.	.	PUNCT
amfbr-346	15	1	for	for	ADP
amfbr-346	15	2	this	this	DET
amfbr-346	15	3	estimation	estimation	NOUN
amfbr-346	15	4	,	,	PUNCT
amfbr-346	15	5	we	we	PRON
amfbr-346	15	6	should	should	AUX
amfbr-346	15	7	define	define	VERB
amfbr-346	15	8	an	an	DET
amfbr-346	15	9	appropriate	appropriate	ADJ
amfbr-346	15	10	functional	functional	ADJ
amfbr-346	15	11	form	form	NOUN
amfbr-346	15	12	which	which	PRON
amfbr-346	15	13	can	can	AUX
amfbr-346	15	14	accept	accept	VERB
amfbr-346	15	15	different	different	ADJ
amfbr-346	15	16	curvatures	curvature	NOUN
amfbr-346	15	17	(	(	PUNCT
amfbr-346	15	18	see	see	VERB
amfbr-346	15	19	,	,	PUNCT
amfbr-346	15	20	bidabad	bidabad	VERB
amfbr-346	15	21	and	and	CCONJ
amfbr-346	15	22	bidabad	bidabad	ADJ
amfbr-346	15	23	(	(	PUNCT
amfbr-346	15	24	1989a	1989a	NUM
amfbr-346	15	25	,	,	PUNCT
amfbr-346	15	26	b	b	NOUN
amfbr-346	15	27	)	)	PUNCT
amfbr-346	15	28	)	)	PUNCT
amfbr-346	15	29	.	.	PUNCT
amfbr-346	16	1	there	there	PRON
amfbr-346	16	2	is	be	VERB
amfbr-346	16	3	another	another	DET
amfbr-346	16	4	problem	problem	NOUN
amfbr-346	16	5	,	,	PUNCT
amfbr-346	16	6	that	that	ADV
amfbr-346	16	7	is	is	ADV
amfbr-346	16	8	,	,	PUNCT
amfbr-346	16	9	to	to	PART
amfbr-346	16	10	create	create	VERB
amfbr-346	16	11	the	the	DET
amfbr-346	16	12	necessary	necessary	ADJ
amfbr-346	16	13	data	datum	NOUN
amfbr-346	16	14	set	set	VERB
amfbr-346	16	15	for	for	ADP
amfbr-346	16	16	estimating	estimate	VERB
amfbr-346	16	17	the	the	DET
amfbr-346	16	18	corresponding	corresponding	ADJ
amfbr-346	16	19	parameters	parameter	NOUN
amfbr-346	16	20	of	of	ADP
amfbr-346	16	21	the	the	DET
amfbr-346	16	22	lorenz	lorenz	PROPN
amfbr-346	16	23	curve	curve	NOUN
amfbr-346	16	24	,	,	PUNCT
amfbr-346	16	25	a	a	DET
amfbr-346	16	26	large	large	ADJ
amfbr-346	16	27	amount	amount	NOUN
amfbr-346	16	28	of	of	ADP
amfbr-346	16	29	computation	computation	NOUN
amfbr-346	16	30	on	on	ADP
amfbr-346	16	31	raw	raw	ADJ
amfbr-346	16	32	sample	sample	NOUN
amfbr-346	16	33	income	income	NOUN
amfbr-346	16	34	data	datum	NOUN
amfbr-346	16	35	is	be	AUX
amfbr-346	16	36	inevitable	inevitable	ADJ
amfbr-346	16	37	.	.	PUNCT
amfbr-346	17	1	obviously	obviously	ADV
amfbr-346	17	2	,	,	PUNCT
amfbr-346	17	3	these	these	DET
amfbr-346	17	4	problems	problem	NOUN
amfbr-346	17	5	,	,	PUNCT
amfbr-346	17	6	despite	despite	SCONJ
amfbr-346	17	7	their	their	PRON
amfbr-346	17	8	computational	computational	ADJ
amfbr-346	17	9	difficulties	difficulty	NOUN
amfbr-346	17	10	,	,	PUNCT
amfbr-346	17	11	make	make	VERB
amfbr-346	17	12	the	the	DET
amfbr-346	17	13	significance	significance	NOUN
amfbr-346	17	14	of	of	ADP
amfbr-346	17	15	the	the	DET
amfbr-346	17	16	estimated	estimate	VERB
amfbr-346	17	17	parameters	parameter	NOUN
amfbr-346	17	18	poor	poor	ADJ
amfbr-346	17	19	(	(	PUNCT
amfbr-346	17	20	see	see	VERB
amfbr-346	17	21	,	,	PUNCT
amfbr-346	17	22	bidabad	bidabad	VERB
amfbr-346	17	23	and	and	CCONJ
amfbr-346	17	24	bidabad	bidabad	ADJ
amfbr-346	17	25	(	(	PUNCT
amfbr-346	17	26	1989a	1989a	NUM
amfbr-346	17	27	,	,	PUNCT
amfbr-346	17	28	b	b	NOUN
amfbr-346	17	29	)	)	PUNCT
amfbr-346	17	30	)	)	PUNCT
amfbr-346	17	31	.	.	PUNCT
amfbr-346	18	1	to	to	PART
amfbr-346	18	2	avoid	avoid	VERB
amfbr-346	18	3	this	this	PRON
amfbr-346	18	4	,	,	PUNCT
amfbr-346	18	5	we	we	PRON
amfbr-346	18	6	try	try	VERB
amfbr-346	18	7	to	to	PART
amfbr-346	18	8	estimate	estimate	VERB
amfbr-346	18	9	the	the	DET
amfbr-346	18	10	functional	functional	ADJ
amfbr-346	18	11	form	form	NOUN
amfbr-346	18	12	of	of	ADP
amfbr-346	18	13	the	the	DET
amfbr-346	18	14	lorenz	lorenz	PROPN
amfbr-346	18	15	curve	curve	NOUN
amfbr-346	18	16	by	by	ADP
amfbr-346	18	17	using	use	VERB
amfbr-346	18	18	continuous	continuous	ADJ
amfbr-346	18	19	information	information	NOUN
amfbr-346	18	20	.	.	PUNCT
amfbr-346	19	1	in	in	ADP
amfbr-346	19	2	this	this	DET
amfbr-346	19	3	paper	paper	NOUN
amfbr-346	19	4	,	,	PUNCT
amfbr-346	19	5	we	we	PRON
amfbr-346	19	6	use	use	VERB
amfbr-346	19	7	the	the	DET
amfbr-346	19	8	probability	probability	NOUN
amfbr-346	19	9	density	density	NOUN
amfbr-346	19	10	function	function	NOUN
amfbr-346	19	11	of	of	ADP
amfbr-346	19	12	population	population	NOUN
amfbr-346	19	13	income	income	NOUN
amfbr-346	19	14	to	to	PART
amfbr-346	19	15	estimate	estimate	VERB
amfbr-346	19	16	the	the	DET
amfbr-346	19	17	lorenz	lorenz	PROPN
amfbr-346	19	18	function	function	PROPN
amfbr-346	19	19	parameters	parameter	NOUN
amfbr-346	19	20	.	.	PUNCT
amfbr-346	20	1	the	the	DET
amfbr-346	20	2	continuous	continuous	ADJ
amfbr-346	20	3	l1	l1	PROPN
amfbr-346	20	4	norm	norm	NOUN
amfbr-346	20	5	smoothing	smoothing	NOUN
amfbr-346	20	6	method	method	NOUN
amfbr-346	20	7	,	,	PUNCT
amfbr-346	20	8	which	which	PRON
amfbr-346	20	9	will	will	AUX
amfbr-346	20	10	be	be	AUX
amfbr-346	20	11	developed	develop	VERB
amfbr-346	20	12	for	for	ADP
amfbr-346	20	13	estimating	estimate	VERB
amfbr-346	20	14	the	the	DET
amfbr-346	20	15	regression	regression	NOUN
amfbr-346	20	16	parameters	parameter	NOUN
amfbr-346	20	17	,	,	PUNCT
amfbr-346	20	18	is	be	AUX
amfbr-346	20	19	used	use	VERB
amfbr-346	20	20	to	to	PART
amfbr-346	20	21	solve	solve	VERB
amfbr-346	20	22	this	this	DET
amfbr-346	20	23	problem	problem	NOUN
amfbr-346	20	24	.	.	PUNCT
amfbr-346	21	1	however	however	ADV
amfbr-346	21	2	,	,	PUNCT
amfbr-346	21	3	we	we	PRON
amfbr-346	21	4	concentrate	concentrate	VERB
amfbr-346	21	5	on	on	ADP
amfbr-346	21	6	two	two	NUM
amfbr-346	21	7	rival	rival	ADJ
amfbr-346	21	8	probability	probability	NOUN
amfbr-346	21	9	density	density	NOUN
amfbr-346	21	10	functions	function	NOUN
amfbr-346	21	11	of	of	ADP
amfbr-346	21	12	pareto	pareto	NOUN
amfbr-346	21	13	and	and	CCONJ
amfbr-346	21	14	log	log	NOUN
amfbr-346	21	15	-	-	PUNCT
amfbr-346	21	16	normal	normal	ADJ
amfbr-346	21	17	.	.	PUNCT
amfbr-346	22	1	since	since	SCONJ
amfbr-346	22	2	the	the	DET
amfbr-346	22	3	former	former	NOUN
amfbr-346	22	4	is	be	AUX
amfbr-346	22	5	simply	simply	ADV
amfbr-346	22	6	integrable	integrable	ADJ
amfbr-346	22	7	,	,	PUNCT
amfbr-346	22	8	there	there	PRON
amfbr-346	22	9	is	be	VERB
amfbr-346	22	10	no	no	DET
amfbr-346	22	11	general	general	ADJ
amfbr-346	22	12	problem	problem	NOUN
amfbr-346	22	13	to	to	PART
amfbr-346	22	14	derive	derive	VERB
amfbr-346	22	15	the	the	DET
amfbr-346	22	16	corresponding	correspond	VERB
amfbr-346	22	17	lorenz	lorenz	PROPN
amfbr-346	22	18	function	function	NOUN
amfbr-346	22	19	,	,	PUNCT
amfbr-346	22	20	and	and	CCONJ
amfbr-346	22	21	the	the	DET
amfbr-346	22	22	function	function	NOUN
amfbr-346	22	23	is	be	AUX
amfbr-346	22	24	uniquely	uniquely	ADV
amfbr-346	22	25	derived	derive	VERB
amfbr-346	22	26	.	.	PUNCT
amfbr-346	23	1	but	but	CCONJ
amfbr-346	23	2	in	in	ADP
amfbr-346	23	3	the	the	DET
amfbr-346	23	4	latter	latter	ADJ
amfbr-346	23	5	case	case	NOUN
amfbr-346	23	6	,	,	PUNCT
amfbr-346	23	7	the	the	DET
amfbr-346	23	8	log	log	NOUN
amfbr-346	23	9	-	-	PUNCT
amfbr-346	23	10	normal	normal	ADJ
amfbr-346	23	11	density	density	NOUN
amfbr-346	23	12	function	function	NOUN
amfbr-346	23	13	(	(	PUNCT
amfbr-346	23	14	which	which	PRON
amfbr-346	23	15	has	have	VERB
amfbr-346	23	16	better	well	ADJ
amfbr-346	23	17	performance	performance	NOUN
amfbr-346	23	18	for	for	ADP
amfbr-346	23	19	full	full	ADJ
amfbr-346	23	20	income	income	NOUN
amfbr-346	23	21	range	range	NOUN
amfbr-346	23	22	)	)	PUNCT
amfbr-346	23	23	than	than	ADP
amfbr-346	23	24	pareto	pareto	ADJ
amfbr-346	23	25	distribution	distribution	NOUN
amfbr-346	23	26	(	(	PUNCT
amfbr-346	23	27	which	which	PRON
amfbr-346	23	28	better	well	ADV
amfbr-346	23	29	fits	fit	VERB
amfbr-346	23	30	to	to	ADP
amfbr-346	23	31	higher	high	ADJ
amfbr-346	23	32	income	income	NOUN
amfbr-346	23	33	range	range	NOUN
amfbr-346	23	34	,	,	PUNCT
amfbr-346	23	35	(	(	PUNCT
amfbr-346	23	36	see	see	VERB
amfbr-346	23	37	,	,	PUNCT
amfbr-346	23	38	cramer	cramer	X
amfbr-346	23	39	(	(	PUNCT
amfbr-346	23	40	1973	1973	NUM
amfbr-346	23	41	)	)	PUNCT
amfbr-346	23	42	,	,	PUNCT
amfbr-346	23	43	singh	singh	NOUN
amfbr-346	23	44	and	and	CCONJ
amfbr-346	23	45	maddala	maddala	PROPN
amfbr-346	23	46	(	(	PUNCT
amfbr-346	23	47	1976	1976	NUM
amfbr-346	23	48	)	)	PUNCT
amfbr-346	23	49	,	,	PUNCT
amfbr-346	23	50	salem	salem	NOUN
amfbr-346	23	51	and	and	CCONJ
amfbr-346	23	52	mount	mount	PROPN
amfbr-346	23	53	(	(	PUNCT
amfbr-346	23	54	1974	1974	NUM
amfbr-346	23	55	)	)	PUNCT
amfbr-346	23	56	)	)	PUNCT
amfbr-346	23	57	,	,	PUNCT
amfbr-346	23	58	is	be	AUX
amfbr-346	23	59	not	not	PART
amfbr-346	23	60	integrable	integrable	ADJ
amfbr-346	23	61	and	and	CCONJ
amfbr-346	23	62	we	we	PRON
amfbr-346	23	63	can	can	AUX
amfbr-346	23	64	not	not	PART
amfbr-346	23	65	determine	determine	VERB
amfbr-346	23	66	its	its	PRON
amfbr-346	23	67	corresponding	correspond	VERB
amfbr-346	23	68	lorenz	lorenz	PROPN
amfbr-346	23	69	function	function	NOUN
amfbr-346	23	70	.	.	PUNCT
amfbr-346	24	1	in	in	ADP
amfbr-346	24	2	this	this	DET
amfbr-346	24	3	regard	regard	NOUN
amfbr-346	24	4	,	,	PUNCT
amfbr-346	24	5	we	we	PRON
amfbr-346	24	6	should	should	AUX
amfbr-346	24	7	solve	solve	VERB
amfbr-346	24	8	the	the	DET
amfbr-346	24	9	problem	problem	NOUN
amfbr-346	24	10	by	by	ADP
amfbr-346	24	11	defining	define	VERB
amfbr-346	24	12	a	a	DET
amfbr-346	24	13	general	general	ADJ
amfbr-346	24	14	lorenz	lorenz	PROPN
amfbr-346	24	15	curve	curve	NOUN
amfbr-346	24	16	functional	functional	ADJ
amfbr-346	24	17	form	form	NOUN
amfbr-346	24	18	and	and	CCONJ
amfbr-346	24	19	applying	apply	VERB
amfbr-346	24	20	the	the	DET
amfbr-346	24	21	l1	l1	PROPN
amfbr-346	24	22	norm	norm	NOUN
amfbr-346	24	23	smoothing	smooth	VERB
amfbr-346	24	24	to	to	PART
amfbr-346	24	25	estimate	estimate	VERB
amfbr-346	24	26	the	the	DET
amfbr-346	24	27	corresponding	correspond	VERB
amfbr-346	24	28	parameters	parameter	NOUN
amfbr-346	24	29	.	.	PUNCT
amfbr-346	25	1	in	in	ADP
amfbr-346	25	2	this	this	DET
amfbr-346	25	3	paper	paper	NOUN
amfbr-346	25	4	,	,	PUNCT
amfbr-346	25	5	continuous	continuous	ADJ
amfbr-346	25	6	l1	l1	PROPN
amfbr-346	25	7	norm	norm	NOUN
amfbr-346	25	8	estimation	estimation	NOUN
amfbr-346	25	9	is	be	AUX
amfbr-346	25	10	developed	develop	VERB
amfbr-346	25	11	by	by	ADP
amfbr-346	25	12	using	use	VERB
amfbr-346	25	13	a	a	DET
amfbr-346	25	14	similar	similar	ADJ
amfbr-346	25	15	method	method	NOUN
amfbr-346	25	16	proposed	propose	VERB
amfbr-346	25	17	in	in	ADP
amfbr-346	25	18	bidabad	bidabad	NOUN
amfbr-346	25	19	(	(	PUNCT
amfbr-346	25	20	1987a,88a,89a	1987a,88a,89a	NUM
amfbr-346	25	21	,	,	PUNCT
amfbr-346	25	22	b	b	NOUN
amfbr-346	25	23	)	)	PUNCT
amfbr-346	25	24	for	for	ADP
amfbr-346	25	25	the	the	DET
amfbr-346	25	26	discrete	discrete	ADJ
amfbr-346	25	27	case	case	NOUN
amfbr-346	25	28	.	.	PUNCT
amfbr-346	26	1	then	then	ADV
amfbr-346	26	2	the	the	DET
amfbr-346	26	3	method	method	NOUN
amfbr-346	26	4	is	be	AUX
amfbr-346	26	5	applied	apply	VERB
amfbr-346	26	6	to	to	ADP
amfbr-346	26	7	the	the	DET
amfbr-346	26	8	estimation	estimation	NOUN
amfbr-346	26	9	of	of	ADP
amfbr-346	26	10	the	the	DET
amfbr-346	26	11	lorenz	lorenz	PROPN
amfbr-346	26	12	curve	curve	PROPN
amfbr-346	26	13	functional	functional	ADJ
amfbr-346	26	14	forms	form	NOUN
amfbr-346	26	15	which	which	PRON
amfbr-346	26	16	have	have	AUX
amfbr-346	26	17	been	be	AUX
amfbr-346	26	18	proposed	propose	VERB
amfbr-346	26	19	by	by	ADP
amfbr-346	26	20	gupta	gupta	PROPN
amfbr-346	26	21	(	(	PUNCT
amfbr-346	26	22	1984	1984	NUM
amfbr-346	26	23	)	)	PUNCT
amfbr-346	26	24	and	and	CCONJ
amfbr-346	26	25	bidabad	bidabad	VERB
amfbr-346	26	26	and	and	CCONJ
amfbr-346	26	27	bidabad	bidabad	ADJ
amfbr-346	26	28	(	(	PUNCT
amfbr-346	26	29	1989,92	1989,92	NUM
amfbr-346	26	30	)	)	PUNCT
amfbr-346	26	31	.	.	PUNCT
amfbr-346	27	1	in	in	ADP
amfbr-346	27	2	the	the	DET
amfbr-346	27	3	end	end	NOUN
amfbr-346	27	4	,	,	PUNCT
amfbr-346	27	5	we	we	PRON
amfbr-346	27	6	use	use	VERB
amfbr-346	27	7	our	our	PRON
amfbr-346	27	8	formulation	formulation	NOUN
amfbr-346	27	9	to	to	PART
amfbr-346	27	10	estimate	estimate	VERB
amfbr-346	27	11	gini	gini	PROPN
amfbr-346	27	12	index	index	PROPN
amfbr-346	27	13	and	and	CCONJ
amfbr-346	27	14	kakwani	kakwani	PROPN
amfbr-346	27	15	length	length	NOUN
amfbr-346	27	16	indices	index	NOUN
amfbr-346	27	17	of	of	ADP
amfbr-346	27	18	inequality	inequality	NOUN
amfbr-346	27	19	for	for	ADP
amfbr-346	27	20	the	the	DET
amfbr-346	27	21	united	united	PROPN
amfbr-346	27	22	states	states	PROPN
amfbr-346	27	23	for	for	ADP
amfbr-346	27	24	the	the	DET
amfbr-346	27	25	period	period	NOUN
amfbr-346	27	26	of	of	ADP
amfbr-346	27	27	1971	1971	NUM
amfbr-346	27	28	-	-	SYM
amfbr-346	27	29	1990	1990	NUM
amfbr-346	27	30	,	,	PUNCT
amfbr-346	27	31	based	base	VERB
amfbr-346	27	32	on	on	ADP
amfbr-346	27	33	the	the	DET
amfbr-346	27	34	assumption	assumption	NOUN
amfbr-346	27	35	that	that	SCONJ
amfbr-346	27	36	income	income	NOUN
amfbr-346	27	37	is	be	AUX
amfbr-346	27	38	distributed	distribute	VERB
amfbr-346	27	39	log	log	NOUN
amfbr-346	27	40	-	-	PUNCT
amfbr-346	27	41	normally	normally	ADV
amfbr-346	27	42	.	.	PUNCT
amfbr-346	28	1	2	2	X
amfbr-346	28	2	.	.	X
amfbr-346	28	3	l1	l1	PROPN
amfbr-346	28	4	norm	norm	NOUN
amfbr-346	28	5	of	of	ADP
amfbr-346	28	6	continuous	continuous	ADJ
amfbr-346	28	7	functions	function	NOUN
amfbr-346	28	8	generally	generally	ADV
amfbr-346	28	9	,	,	PUNCT
amfbr-346	28	10	lp	lp	PRON
amfbr-346	28	11	norm	norm	NOUN
amfbr-346	28	12	of	of	ADP
amfbr-346	28	13	a	a	DET
amfbr-346	28	14	function	function	NOUN
amfbr-346	28	15	f(x	f(x	PROPN
amfbr-346	28	16	)	)	PUNCT
amfbr-346	28	17	(	(	PUNCT
amfbr-346	28	18	see	see	VERB
amfbr-346	28	19	,	,	PUNCT
amfbr-346	28	20	rice	rice	NOUN
amfbr-346	28	21	and	and	CCONJ
amfbr-346	28	22	white	white	ADJ
amfbr-346	28	23	(	(	PUNCT
amfbr-346	28	24	1964	1964	NUM
amfbr-346	28	25	)	)	PUNCT
amfbr-346	28	26	)	)	PUNCT
amfbr-346	28	27	is	be	AUX
amfbr-346	28	28	defined	define	VERB
amfbr-346	28	29	by	by	ADP
amfbr-346	28	30	,	,	PUNCT
amfbr-346	28	31	||f(x)||p	||f(x)||p	PROPN
amfbr-346	28	32	=	=	SYM
amfbr-346	28	33	∫	∫	PROPN
amfbr-346	28	34	xεi	xεi	PROPN
amfbr-346	28	35	(	(	PUNCT
amfbr-346	28	36	|f(x)|pdx)1	|f(x)|pdx)1	PROPN
amfbr-346	28	37	/	/	SYM
amfbr-346	28	38	p	p	X
amfbr-346	28	39	(	(	PUNCT
amfbr-346	28	40	1	1	NUM
amfbr-346	28	41	)	)	PUNCT
amfbr-346	28	42	mailto:bijan@bidabad.com	mailto:bijan@bidabad.com	NOUN
amfbr-346	29	1	copyright	copyright	PROPN
amfbr-346	29	2	©	©	PROPN
amfbr-346	29	3	cc	cc	PROPN
amfbr-346	29	4	-	-	PUNCT
amfbr-346	29	5	by	by	ADP
amfbr-346	29	6	-	-	PUNCT
amfbr-346	29	7	nc	nc	PROPN
amfbr-346	29	8	2019	2019	NUM
amfbr-346	29	9	,	,	PUNCT
amfbr-346	29	10	cribfb	cribfb	PROPN
amfbr-346	29	11	|	|	ADV
amfbr-346	29	12	amfbr	amfbr	ADJ
amfbr-346	29	13	www.cribfb.com/journal/index.php/amfbr	www.cribfb.com/journal/index.php/amfbr	PROPN
amfbr-346	29	14	american	american	PROPN
amfbr-346	29	15	finance	finance	PROPN
amfbr-346	29	16	&	&	CCONJ
amfbr-346	29	17	banking	banking	PROPN
amfbr-346	29	18	review	review	PROPN
amfbr-346	29	19	vol	vol	NOUN
amfbr-346	29	20	.	.	PROPN
amfbr-346	30	1	4	4	NUM
amfbr-346	30	2	,	,	PUNCT
amfbr-346	30	3	no	no	INTJ
amfbr-346	30	4	.	.	NOUN
amfbr-346	30	5	2	2	NUM
amfbr-346	30	6	;	;	PUNCT
amfbr-346	30	7	2019	2019	NUM
amfbr-346	30	8	12	12	NUM
amfbr-346	30	9	where	where	SCONJ
amfbr-346	30	10	,	,	PUNCT
amfbr-346	30	11	"	"	PUNCT
amfbr-346	30	12	i	i	PRON
amfbr-346	30	13	"	"	PUNCT
amfbr-346	30	14	is	be	AUX
amfbr-346	30	15	a	a	DET
amfbr-346	30	16	closed	closed	ADJ
amfbr-346	30	17	bounded	bounded	ADJ
amfbr-346	30	18	set	set	NOUN
amfbr-346	30	19	.	.	PUNCT
amfbr-346	31	1	the	the	DET
amfbr-346	31	2	l1	l1	PROPN
amfbr-346	31	3	norm	norm	NOUN
amfbr-346	31	4	of	of	ADP
amfbr-346	31	5	f(x	f(x	PROPN
amfbr-346	31	6	)	)	PUNCT
amfbr-346	31	7	is	be	AUX
amfbr-346	31	8	simply	simply	ADV
amfbr-346	31	9	written	write	VERB
amfbr-346	31	10	as	as	ADP
amfbr-346	31	11	,	,	PUNCT
amfbr-346	31	12	||f(x)||1	||f(x)||1	PROPN
amfbr-346	31	13	=	=	SYM
amfbr-346	31	14	∫	∫	PROPN
amfbr-346	31	15	xεi	xεi	PROPN
amfbr-346	31	16	|f(x)|dx	|f(x)|dx	PROPN
amfbr-346	31	17	(	(	PUNCT
amfbr-346	31	18	2	2	X
amfbr-346	31	19	)	)	PUNCT
amfbr-346	31	20	suppose	suppose	VERB
amfbr-346	31	21	that	that	SCONJ
amfbr-346	31	22	the	the	DET
amfbr-346	31	23	non	non	ADJ
amfbr-346	31	24	-	-	ADJ
amfbr-346	31	25	stochastic	stochastic	ADJ
amfbr-346	31	26	function	function	NOUN
amfbr-346	31	27	f(x	f(x	PROPN
amfbr-346	31	28	,	,	PUNCT
amfbr-346	31	29	β	β	NOUN
amfbr-346	31	30	)	)	PUNCT
amfbr-346	31	31	of	of	ADP
amfbr-346	31	32	"	"	PUNCT
amfbr-346	31	33	x	x	NOUN
amfbr-346	31	34	"	"	PUNCT
amfbr-346	31	35	,	,	PUNCT
amfbr-346	31	36	is	be	AUX
amfbr-346	31	37	combined	combine	VERB
amfbr-346	31	38	with	with	ADP
amfbr-346	31	39	stochastic	stochastic	ADJ
amfbr-346	31	40	disturbance	disturbance	NOUN
amfbr-346	31	41	term	term	NOUN
amfbr-346	31	42	"	"	PUNCT
amfbr-346	31	43	u	u	NOUN
amfbr-346	31	44	"	"	PUNCT
amfbr-346	31	45	to	to	PART
amfbr-346	31	46	form	form	VERB
amfbr-346	31	47	y(x	y(x	NOUN
amfbr-346	31	48	)	)	PUNCT
amfbr-346	31	49	as	as	SCONJ
amfbr-346	31	50	follows	follow	VERB
amfbr-346	31	51	,	,	PUNCT
amfbr-346	31	52	y(x	y(x	PROPN
amfbr-346	31	53	)	)	PUNCT
amfbr-346	32	1	=	=	SYM
amfbr-346	32	2	f(x	f(x	PROPN
amfbr-346	32	3	,	,	PUNCT
amfbr-346	32	4	β	β	NOUN
amfbr-346	32	5	)	)	PUNCT
amfbr-346	33	1	+	+	CCONJ
amfbr-346	33	2	u	u	NOUN
amfbr-346	33	3	(	(	PUNCT
amfbr-346	33	4	3	3	NUM
amfbr-346	33	5	)	)	PUNCT
amfbr-346	33	6	where	where	SCONJ
amfbr-346	33	7	,	,	PUNCT
amfbr-346	33	8	β	β	X
amfbr-346	33	9	is	be	AUX
amfbr-346	33	10	unknown	unknown	ADJ
amfbr-346	33	11	parameters	parameter	NOUN
amfbr-346	33	12	vector	vector	NOUN
amfbr-346	33	13	.	.	PUNCT
amfbr-346	34	1	rewriting	rewrite	VERB
amfbr-346	34	2	u	u	NOUN
amfbr-346	34	3	as	as	ADP
amfbr-346	34	4	the	the	DET
amfbr-346	34	5	residual	residual	NOUN
amfbr-346	34	6	of	of	ADP
amfbr-346	34	7	y(x)-f(x	y(x)-f(x	NOUN
amfbr-346	34	8	,	,	PUNCT
amfbr-346	34	9	β	β	NOUN
amfbr-346	34	10	)	)	PUNCT
amfbr-346	34	11	,	,	PUNCT
amfbr-346	34	12	for	for	ADP
amfbr-346	34	13	l1	l1	PROPN
amfbr-346	34	14	norm	norm	NOUN
amfbr-346	34	15	approximation	approximation	NOUN
amfbr-346	34	16	of	of	ADP
amfbr-346	34	17	"	"	PUNCT
amfbr-346	34	18	β	β	NOUN
amfbr-346	34	19	"	"	PUNCT
amfbr-346	34	20	we	we	PRON
amfbr-346	34	21	should	should	AUX
amfbr-346	34	22	find	find	VERB
amfbr-346	34	23	"	"	PUNCT
amfbr-346	34	24	β	β	NOUN
amfbr-346	34	25	"	"	PUNCT
amfbr-346	34	26	vector	vector	NOUN
amfbr-346	34	27	such	such	ADJ
amfbr-346	34	28	that	that	SCONJ
amfbr-346	34	29	the	the	DET
amfbr-346	34	30	l1	l1	PROPN
amfbr-346	34	31	norm	norm	NOUN
amfbr-346	34	32	of	of	ADP
amfbr-346	34	33	"	"	PUNCT
amfbr-346	34	34	u	u	NOUN
amfbr-346	34	35	"	"	PUNCT
amfbr-346	34	36	is	be	AUX
amfbr-346	34	37	minimum	minimum	ADJ
amfbr-346	34	38	.	.	PUNCT
amfbr-346	35	1	that	that	PRON
amfbr-346	35	2	is	be	AUX
amfbr-346	35	3	,	,	PUNCT
amfbr-346	35	4	min	min	NOUN
amfbr-346	35	5	:	:	PUNCT
amfbr-346	35	6	s=||u||1=||y(x)-f(x	s=||u||1=||y(x)-f(x	NOUN
amfbr-346	35	7	,	,	PUNCT
amfbr-346	35	8	β)||1=∫	β)||1=∫	PROPN
amfbr-346	35	9	xεi	xεi	PROPN
amfbr-346	35	10	|y(x)-f(x	|y(x)-f(x	PROPN
amfbr-346	35	11	,	,	PUNCT
amfbr-346	35	12	β)|dx	β)|dx	PROPN
amfbr-346	35	13	(	(	PUNCT
amfbr-346	35	14	4	4	NUM
amfbr-346	35	15	)	)	PUNCT
amfbr-346	35	16	β	β	NOUN
amfbr-346	35	17	3	3	NUM
amfbr-346	35	18	.	.	PUNCT
amfbr-346	36	1	linear	linear	PROPN
amfbr-346	36	2	one	one	NUM
amfbr-346	36	3	parameter	parameter	NOUN
amfbr-346	36	4	l1	l1	PROPN
amfbr-346	36	5	norm	norm	VERB
amfbr-346	36	6	continuous	continuous	ADJ
amfbr-346	36	7	smoothing	smoothing	NOUN
amfbr-346	36	8	redefine	redefine	VERB
amfbr-346	36	9	f(x	f(x	PROPN
amfbr-346	36	10	,	,	PUNCT
amfbr-346	36	11	β	β	NOUN
amfbr-346	36	12	)	)	PUNCT
amfbr-346	36	13	as	as	ADP
amfbr-346	36	14	βx	βx	PROPN
amfbr-346	36	15	and	and	CCONJ
amfbr-346	36	16	y(x	y(x	NOUN
amfbr-346	36	17	)	)	PUNCT
amfbr-346	36	18	as	as	ADP
amfbr-346	36	19	the	the	DET
amfbr-346	36	20	following	following	ADJ
amfbr-346	36	21	linear	linear	PROPN
amfbr-346	36	22	function	function	NOUN
amfbr-346	36	23	,	,	PUNCT
amfbr-346	36	24	y(x	y(x	PROPN
amfbr-346	36	25	)	)	PUNCT
amfbr-346	37	1	=	=	SYM
amfbr-346	37	2	βx	βx	PROPN
amfbr-346	38	1	+	+	NUM
amfbr-346	38	2	u	u	X
amfbr-346	38	3	(	(	PUNCT
amfbr-346	38	4	5	5	NUM
amfbr-346	38	5	)	)	PUNCT
amfbr-346	38	6	where	where	SCONJ
amfbr-346	38	7	,	,	PUNCT
amfbr-346	38	8	"	"	PUNCT
amfbr-346	38	9	β	β	X
amfbr-346	38	10	"	"	PUNCT
amfbr-346	38	11	is	be	AUX
amfbr-346	38	12	a	a	DET
amfbr-346	38	13	single	single	ADJ
amfbr-346	38	14	(	(	PUNCT
amfbr-346	38	15	non	non	ADJ
amfbr-346	38	16	-	-	NOUN
amfbr-346	38	17	vector	vector	ADJ
amfbr-346	38	18	)	)	PUNCT
amfbr-346	38	19	parameter	parameter	NOUN
amfbr-346	38	20	.	.	PUNCT
amfbr-346	39	1	expression	expression	NOUN
amfbr-346	39	2	(	(	PUNCT
amfbr-346	39	3	4	4	NUM
amfbr-346	39	4	)	)	PUNCT
amfbr-346	39	5	reduces	reduce	VERB
amfbr-346	39	6	to	to	PART
amfbr-346	39	7	:	:	PUNCT
amfbr-346	39	8	min	min	NOUN
amfbr-346	39	9	:	:	PUNCT
amfbr-346	39	10	s	s	NOUN
amfbr-346	39	11	=	=	NOUN
amfbr-346	39	12	||u||1	||u||1	X
amfbr-346	39	13	=	=	SYM
amfbr-346	39	14	||y(x)βx||1	||y(x)βx||1	SYM
amfbr-346	39	15	=	=	SYM
amfbr-346	39	16	∫	∫	PROPN
amfbr-346	39	17	xεi	xεi	PROPN
amfbr-346	39	18	|y(x)-f(x	|y(x)-f(x	PROPN
amfbr-346	39	19	,	,	PUNCT
amfbr-346	39	20	β)|dx	β)|dx	PROPN
amfbr-346	39	21	(	(	PUNCT
amfbr-346	39	22	6	6	NUM
amfbr-346	39	23	)	)	PUNCT
amfbr-346	39	24	β	β	NOUN
amfbr-346	39	25	the	the	DET
amfbr-346	39	26	discrete	discrete	ADJ
amfbr-346	39	27	analog	analog	NOUN
amfbr-346	39	28	of	of	ADP
amfbr-346	39	29	(	(	PUNCT
amfbr-346	39	30	6	6	NUM
amfbr-346	39	31	)	)	PUNCT
amfbr-346	39	32	is	be	AUX
amfbr-346	39	33	solved	solve	VERB
amfbr-346	39	34	by	by	ADP
amfbr-346	39	35	bidabad	bidabad	NOUN
amfbr-346	39	36	(	(	PUNCT
amfbr-346	39	37	1987a,88a,89a	1987a,88a,89a	NUM
amfbr-346	39	38	,	,	PUNCT
amfbr-346	39	39	b	b	NOUN
amfbr-346	39	40	)	)	PUNCT
amfbr-346	39	41	.	.	PUNCT
amfbr-346	40	1	in	in	ADP
amfbr-346	40	2	these	these	DET
amfbr-346	40	3	papers	paper	NOUN
amfbr-346	40	4	,	,	PUNCT
amfbr-346	40	5	we	we	PRON
amfbr-346	40	6	proposed	propose	VERB
amfbr-346	40	7	applying	apply	VERB
amfbr-346	40	8	discrete	discrete	ADJ
amfbr-346	40	9	and	and	CCONJ
amfbr-346	40	10	regular	regular	ADJ
amfbr-346	40	11	derivatives	derivative	NOUN
amfbr-346	40	12	to	to	ADP
amfbr-346	40	13	the	the	DET
amfbr-346	40	14	discrete	discrete	ADJ
amfbr-346	40	15	problem	problem	NOUN
amfbr-346	40	16	by	by	ADP
amfbr-346	40	17	using	use	VERB
amfbr-346	40	18	a	a	DET
amfbr-346	40	19	slack	slack	NOUN
amfbr-346	40	20	variable	variable	NOUN
amfbr-346	40	21	"	"	PUNCT
amfbr-346	40	22	t	t	NOUN
amfbr-346	40	23	"	"	PUNCT
amfbr-346	40	24	as	as	ADP
amfbr-346	40	25	a	a	DET
amfbr-346	40	26	point	point	NOUN
amfbr-346	40	27	to	to	PART
amfbr-346	40	28	distinguish	distinguish	VERB
amfbr-346	40	29	negative	negative	ADJ
amfbr-346	40	30	and	and	CCONJ
amfbr-346	40	31	positive	positive	ADJ
amfbr-346	40	32	residuals	residual	NOUN
amfbr-346	40	33	.	.	PUNCT
amfbr-346	41	1	a	a	DET
amfbr-346	41	2	similar	similar	ADJ
amfbr-346	41	3	approach	approach	NOUN
amfbr-346	41	4	is	be	AUX
amfbr-346	41	5	used	use	VERB
amfbr-346	41	6	here	here	ADV
amfbr-346	41	7	to	to	PART
amfbr-346	41	8	minimize	minimize	VERB
amfbr-346	41	9	(	(	PUNCT
amfbr-346	41	10	6	6	NUM
amfbr-346	41	11	)	)	PUNCT
amfbr-346	41	12	.	.	PUNCT
amfbr-346	42	1	to	to	PART
amfbr-346	42	2	do	do	VERB
amfbr-346	42	3	so	so	ADV
amfbr-346	42	4	in	in	ADP
amfbr-346	42	5	this	this	DET
amfbr-346	42	6	case	case	NOUN
amfbr-346	42	7	,	,	PUNCT
amfbr-346	42	8	certain	certain	ADJ
amfbr-346	42	9	lipschitz	lipschitz	NOUN
amfbr-346	42	10	conditions	condition	NOUN
amfbr-346	42	11	are	be	AUX
amfbr-346	42	12	imposed	impose	VERB
amfbr-346	42	13	on	on	ADP
amfbr-346	42	14	the	the	DET
amfbr-346	42	15	functions	function	NOUN
amfbr-346	42	16	involved	involve	VERB
amfbr-346	42	17	(	(	PUNCT
amfbr-346	42	18	see	see	VERB
amfbr-346	42	19	,	,	PUNCT
amfbr-346	42	20	usow	usow	NOUN
amfbr-346	42	21	(	(	PUNCT
amfbr-346	42	22	1967a	1967a	NUM
amfbr-346	42	23	)	)	PUNCT
amfbr-346	42	24	)	)	PUNCT
amfbr-346	42	25	.	.	PUNCT
amfbr-346	43	1	rewrite	rewrite	VERB
amfbr-346	43	2	(	(	PUNCT
amfbr-346	43	3	6	6	NUM
amfbr-346	43	4	)	)	PUNCT
amfbr-346	43	5	as	as	SCONJ
amfbr-346	43	6	follows	follow	VERB
amfbr-346	43	7	,	,	PUNCT
amfbr-346	43	8	min	min	NOUN
amfbr-346	43	9	:	:	PUNCT
amfbr-346	43	10	s	s	PART
amfbr-346	44	1	=	=	SYM
amfbr-346	45	1	∫	∫	PROPN
amfbr-346	46	1	xεi	xεi	PROPN
amfbr-346	46	2	|x||y(x)/x	|x||y(x)/x	PROPN
amfbr-346	46	3	–	–	PUNCT
amfbr-346	46	4	β|dx	β|dx	PUNCT
amfbr-346	46	5	(	(	PUNCT
amfbr-346	46	6	7	7	X
amfbr-346	46	7	)	)	PUNCT
amfbr-346	46	8	β	β	NOUN
amfbr-346	46	9	for	for	ADP
amfbr-346	46	10	convenience	convenience	NOUN
amfbr-346	46	11	,	,	PUNCT
amfbr-346	46	12	define	define	VERB
amfbr-346	46	13	"	"	PUNCT
amfbr-346	46	14	i	i	NOUN
amfbr-346	46	15	"	"	PUNCT
amfbr-346	46	16	as	as	ADP
amfbr-346	46	17	a	a	DET
amfbr-346	46	18	closed	closed	ADJ
amfbr-346	46	19	interval	interval	NOUN
amfbr-346	46	20	[	[	X
amfbr-346	46	21	0,1	0,1	NUM
amfbr-346	46	22	]	]	PUNCT
amfbr-346	46	23	.	.	PUNCT
amfbr-346	47	1	the	the	DET
amfbr-346	47	2	procedure	procedure	NOUN
amfbr-346	47	3	may	may	AUX
amfbr-346	47	4	be	be	AUX
amfbr-346	47	5	applied	apply	VERB
amfbr-346	47	6	to	to	ADP
amfbr-346	47	7	other	other	ADJ
amfbr-346	47	8	intervals	interval	NOUN
amfbr-346	47	9	with	with	ADP
amfbr-346	47	10	no	no	DET
amfbr-346	47	11	major	major	ADJ
amfbr-346	47	12	problem	problem	NOUN
amfbr-346	47	13	(	(	PUNCT
amfbr-346	47	14	see	see	VERB
amfbr-346	47	15	,	,	PUNCT
amfbr-346	47	16	usow	usow	NOUN
amfbr-346	47	17	(	(	PUNCT
amfbr-346	47	18	1967a	1967a	NUM
amfbr-346	47	19	)	)	PUNCT
amfbr-346	47	20	,	,	PUNCT
amfbr-346	47	21	hobby	hobby	NOUN
amfbr-346	47	22	and	and	CCONJ
amfbr-346	47	23	rice	rice	NOUN
amfbr-346	47	24	(	(	PUNCT
amfbr-346	47	25	1965	1965	NUM
amfbr-346	47	26	)	)	PUNCT
amfbr-346	47	27	,	,	PUNCT
amfbr-346	47	28	kripke	kripke	NOUN
amfbr-346	47	29	and	and	CCONJ
amfbr-346	47	30	rivlin	rivlin	PROPN
amfbr-346	47	31	(	(	PUNCT
amfbr-346	47	32	1965	1965	NUM
amfbr-346	47	33	)	)	PUNCT
amfbr-346	47	34	)	)	PUNCT
amfbr-346	47	35	.	.	PUNCT
amfbr-346	48	1	to	to	PART
amfbr-346	48	2	minimize	minimize	VERB
amfbr-346	48	3	this	this	DET
amfbr-346	48	4	function	function	NOUN
amfbr-346	48	5	,	,	PUNCT
amfbr-346	48	6	we	we	PRON
amfbr-346	48	7	should	should	AUX
amfbr-346	48	8	first	first	ADV
amfbr-346	48	9	remove	remove	VERB
amfbr-346	48	10	the	the	DET
amfbr-346	48	11	absolute	absolute	ADJ
amfbr-346	48	12	value	value	NOUN
amfbr-346	48	13	sign	sign	NOUN
amfbr-346	48	14	of	of	ADP
amfbr-346	48	15	the	the	DET
amfbr-346	48	16	expression	expression	NOUN
amfbr-346	48	17	after	after	ADP
amfbr-346	48	18	the	the	DET
amfbr-346	48	19	integral	integral	ADJ
amfbr-346	48	20	sign	sign	NOUN
amfbr-346	48	21	.	.	PUNCT
amfbr-346	49	1	since	since	SCONJ
amfbr-346	49	2	"	"	PUNCT
amfbr-346	49	3	x	x	X
amfbr-346	49	4	"	"	PUNCT
amfbr-346	49	5	belongs	belong	VERB
amfbr-346	49	6	to	to	ADP
amfbr-346	49	7	closed	close	VERB
amfbr-346	49	8	interval	interval	NOUN
amfbr-346	49	9	"	"	PUNCT
amfbr-346	49	10	i	i	PRON
amfbr-346	49	11	"	"	PUNCT
amfbr-346	49	12	,	,	PUNCT
amfbr-346	49	13	y(x	y(x	PROPN
amfbr-346	49	14	)	)	PUNCT
amfbr-346	49	15	(	(	PUNCT
amfbr-346	49	16	which	which	PRON
amfbr-346	49	17	is	be	AUX
amfbr-346	49	18	a	a	DET
amfbr-346	49	19	linear	linear	ADJ
amfbr-346	49	20	function	function	NOUN
amfbr-346	49	21	of	of	ADP
amfbr-346	49	22	"	"	PUNCT
amfbr-346	49	23	x	x	NOUN
amfbr-346	49	24	"	"	PUNCT
amfbr-346	49	25	)	)	PUNCT
amfbr-346	49	26	and	and	CCONJ
amfbr-346	49	27	also	also	ADV
amfbr-346	49	28	y(x)/x	y(x)/x	PROPN
amfbr-346	49	29	are	be	AUX
amfbr-346	49	30	smooth	smooth	ADJ
amfbr-346	49	31	and	and	CCONJ
amfbr-346	49	32	continuous	continuous	ADJ
amfbr-346	49	33	.	.	PUNCT
amfbr-346	50	1	thus	thus	ADV
amfbr-346	50	2	,	,	PUNCT
amfbr-346	50	3	since	since	SCONJ
amfbr-346	50	4	y(x)/x	y(x)/x	PROPN
amfbr-346	50	5	is	be	AUX
amfbr-346	50	6	uniformly	uniformly	ADV
amfbr-346	50	7	increasing	increase	VERB
amfbr-346	50	8	or	or	CCONJ
amfbr-346	50	9	decreasing	decrease	VERB
amfbr-346	50	10	function	function	NOUN
amfbr-346	50	11	of	of	ADP
amfbr-346	50	12	"	"	PUNCT
amfbr-346	50	13	x	x	NOUN
amfbr-346	50	14	"	"	PUNCT
amfbr-346	50	15	,	,	PUNCT
amfbr-346	50	16	a	a	DET
amfbr-346	50	17	value	value	NOUN
amfbr-346	50	18	of	of	ADP
amfbr-346	50	19	tεi	tεi	NOUN
amfbr-346	50	20	can	can	AUX
amfbr-346	50	21	be	be	AUX
amfbr-346	50	22	found	find	VERB
amfbr-346	50	23	to	to	PART
amfbr-346	50	24	have	have	VERB
amfbr-346	50	25	the	the	DET
amfbr-346	50	26	following	follow	VERB
amfbr-346	50	27	properties	property	NOUN
amfbr-346	50	28	,	,	PUNCT
amfbr-346	50	29	y(x)/x	y(x)/x	PROPN
amfbr-346	50	30	<	<	X
amfbr-346	50	31	β	β	X
amfbr-346	50	32	if	if	SCONJ
amfbr-346	50	33	x	x	X
amfbr-346	50	34	<	<	X
amfbr-346	50	35	t	t	X
amfbr-346	50	36	y(x)/x	y(x)/x	PROPN
amfbr-346	50	37	=	=	PUNCT
amfbr-346	50	38	β	β	X
amfbr-346	50	39	if	if	SCONJ
amfbr-346	50	40	x	x	PROPN
amfbr-346	50	41	=	=	SYM
amfbr-346	50	42	t	t	X
amfbr-346	50	43	(	(	PUNCT
amfbr-346	50	44	8)	8)	NUM
amfbr-346	50	45	y(x)/x	y(x)/x	PROPN
amfbr-346	50	46	>	>	X
amfbr-346	50	47	β	β	X
amfbr-346	51	1	if	if	SCONJ
amfbr-346	51	2	x	x	PROPN
amfbr-346	51	3	>	>	X
amfbr-346	51	4	t	t	PROPN
amfbr-346	51	5	value	value	NOUN
amfbr-346	51	6	of	of	ADP
amfbr-346	51	7	the	the	DET
amfbr-346	51	8	slack	slack	NOUN
amfbr-346	51	9	variable	variable	NOUN
amfbr-346	51	10	"	"	PUNCT
amfbr-346	51	11	t	t	PROPN
amfbr-346	51	12	"	"	PUNCT
amfbr-346	51	13	actually	actually	ADV
amfbr-346	51	14	is	be	AUX
amfbr-346	51	15	the	the	DET
amfbr-346	51	16	border	border	NOUN
amfbr-346	51	17	of	of	ADP
amfbr-346	51	18	negative	negative	ADJ
amfbr-346	51	19	and	and	CCONJ
amfbr-346	51	20	positive	positive	ADJ
amfbr-346	51	21	residuals	residual	NOUN
amfbr-346	51	22	.	.	PUNCT
amfbr-346	52	1	if	if	SCONJ
amfbr-346	52	2	the	the	DET
amfbr-346	52	3	value	value	NOUN
amfbr-346	52	4	of	of	ADP
amfbr-346	52	5	"	"	PUNCT
amfbr-346	52	6	t	t	PROPN
amfbr-346	52	7	"	"	PUNCT
amfbr-346	52	8	were	be	AUX
amfbr-346	52	9	known	know	VERB
amfbr-346	52	10	,	,	PUNCT
amfbr-346	52	11	from	from	ADP
amfbr-346	52	12	(	(	PUNCT
amfbr-346	52	13	8)	8)	NUM
amfbr-346	52	14	(	(	PUNCT
amfbr-346	52	15	middle	middle	ADJ
amfbr-346	52	16	equation	equation	NOUN
amfbr-346	52	17	)	)	PUNCT
amfbr-346	52	18	,	,	PUNCT
amfbr-346	52	19	we	we	PRON
amfbr-346	52	20	could	could	AUX
amfbr-346	52	21	calculate	calculate	VERB
amfbr-346	52	22	the	the	DET
amfbr-346	52	23	optimal	optimal	ADJ
amfbr-346	52	24	value	value	NOUN
amfbr-346	52	25	of	of	ADP
amfbr-346	52	26	"	"	PUNCT
amfbr-346	52	27	β	β	NOUN
amfbr-346	52	28	"	"	PUNCT
amfbr-346	52	29	or	or	CCONJ
amfbr-346	52	30	inversely	inversely	ADV
amfbr-346	52	31	.	.	PUNCT
amfbr-346	53	1	but	but	CCONJ
amfbr-346	53	2	nor	nor	CCONJ
amfbr-346	53	3	"	"	PUNCT
amfbr-346	53	4	t	t	PROPN
amfbr-346	53	5	"	"	PUNCT
amfbr-346	53	6	neither	neither	CCONJ
amfbr-346	53	7	"	"	PUNCT
amfbr-346	53	8	β	β	X
amfbr-346	53	9	"	"	PUNCT
amfbr-346	53	10	are	be	AUX
amfbr-346	53	11	known	know	VERB
amfbr-346	53	12	.	.	PUNCT
amfbr-346	54	1	to	to	PART
amfbr-346	54	2	solve	solve	VERB
amfbr-346	54	3	this	this	DET
amfbr-346	54	4	problem	problem	NOUN
amfbr-346	54	5	,	,	PUNCT
amfbr-346	54	6	according	accord	VERB
amfbr-346	54	7	to	to	ADP
amfbr-346	54	8	(	(	PUNCT
amfbr-346	54	9	8)	8)	NUM
amfbr-346	54	10	,	,	PUNCT
amfbr-346	54	11	we	we	PRON
amfbr-346	54	12	can	can	AUX
amfbr-346	54	13	rewrite	rewrite	VERB
amfbr-346	54	14	(	(	PUNCT
amfbr-346	54	15	7	7	NUM
amfbr-346	54	16	)	)	PUNCT
amfbr-346	54	17	as	as	ADP
amfbr-346	54	18	two	two	NUM
amfbr-346	54	19	separate	separate	ADJ
amfbr-346	54	20	definite	definite	ADJ
amfbr-346	54	21	integrals	integral	NOUN
amfbr-346	54	22	with	with	ADP
amfbr-346	54	23	different	different	ADJ
amfbr-346	54	24	upper	upper	ADJ
amfbr-346	54	25	and	and	CCONJ
amfbr-346	54	26	lower	low	ADJ
amfbr-346	54	27	bounds	bound	NOUN
amfbr-346	54	28	.	.	PUNCT
amfbr-346	55	1	⌠t	⌠t	VERB
amfbr-346	55	2	⌠1	⌠1	PROPN
amfbr-346	55	3	min	min	PROPN
amfbr-346	55	4	:	:	PUNCT
amfbr-346	55	5	s	s	PART
amfbr-346	56	1	=	=	PUNCT
amfbr-346	56	2	⌡0	⌡0	PRON
amfbr-346	56	3	|x|	|x|	PROPN
amfbr-346	56	4	(	(	PUNCT
amfbr-346	56	5	y(x)/x	y(x)/x	PROPN
amfbr-346	56	6	β)dx	β)dx	PROPN
amfbr-346	56	7	+	+	PROPN
amfbr-346	56	8	⌡t	⌡t	ADJ
amfbr-346	56	9	|x|	|x|	PROPN
amfbr-346	56	10	(	(	PUNCT
amfbr-346	56	11	y(x)/x	y(x)/x	PROPN
amfbr-346	56	12	β)dx	β)dx	PROPN
amfbr-346	56	13	(	(	PUNCT
amfbr-346	56	14	9	9	NUM
amfbr-346	56	15	)	)	PUNCT
amfbr-346	56	16	β	β	NOUN
amfbr-346	56	17	decomposition	decomposition	NOUN
amfbr-346	56	18	of	of	ADP
amfbr-346	56	19	(	(	PUNCT
amfbr-346	56	20	7	7	NUM
amfbr-346	56	21	)	)	PUNCT
amfbr-346	56	22	into	into	ADP
amfbr-346	56	23	(	(	PUNCT
amfbr-346	56	24	8)	8)	NUM
amfbr-346	56	25	has	have	AUX
amfbr-346	56	26	been	be	AUX
amfbr-346	56	27	done	do	VERB
amfbr-346	56	28	by	by	ADP
amfbr-346	56	29	use	use	NOUN
amfbr-346	56	30	of	of	ADP
amfbr-346	56	31	the	the	DET
amfbr-346	56	32	slack	slack	NOUN
amfbr-346	56	33	variable	variable	NOUN
amfbr-346	56	34	"	"	PUNCT
amfbr-346	56	35	t	t	PROPN
amfbr-346	56	36	"	"	PUNCT
amfbr-346	56	37	.	.	PUNCT
amfbr-346	57	1	since	since	SCONJ
amfbr-346	57	2	both	both	PRON
amfbr-346	57	3	"	"	PUNCT
amfbr-346	57	4	β	β	X
amfbr-346	57	5	"	"	PUNCT
amfbr-346	57	6	and	and	CCONJ
amfbr-346	57	7	"	"	PUNCT
amfbr-346	57	8	t	t	PROPN
amfbr-346	57	9	"	"	PUNCT
amfbr-346	57	10	are	be	AUX
amfbr-346	57	11	unknown	unknown	ADJ
amfbr-346	57	12	,	,	PUNCT
amfbr-346	57	13	to	to	PART
amfbr-346	57	14	solve	solve	VERB
amfbr-346	57	15	(	(	PUNCT
amfbr-346	57	16	9	9	NUM
amfbr-346	57	17	)	)	PUNCT
amfbr-346	57	18	,	,	PUNCT
amfbr-346	57	19	we	we	PRON
amfbr-346	57	20	partially	partially	ADV
amfbr-346	57	21	differentiate	differentiate	VERB
amfbr-346	57	22	it	it	PRON
amfbr-346	57	23	with	with	ADP
amfbr-346	57	24	respect	respect	NOUN
amfbr-346	57	25	to	to	ADP
amfbr-346	57	26	"	"	PUNCT
amfbr-346	57	27	t	t	PROPN
amfbr-346	57	28	"	"	PUNCT
amfbr-346	57	29	and	and	CCONJ
amfbr-346	57	30	"	"	PUNCT
amfbr-346	57	31	β	β	NOUN
amfbr-346	57	32	"	"	PUNCT
amfbr-346	57	33	variables	variable	NOUN
amfbr-346	57	34	.	.	PUNCT
amfbr-346	58	1	δs	δs	NOUN
amfbr-346	58	2	⌠t	⌠t	VERB
amfbr-346	58	3	⌠1	⌠1	PROPN
amfbr-346	58	4	─	─	PROPN
amfbr-346	58	5	─	─	PROPN
amfbr-346	58	6	─	─	PROPN
amfbr-346	58	7	=	=	PUNCT
amfbr-346	59	1	⌡0	⌡0	ADP
amfbr-346	59	2	|x|dx	|x|dx	ADJ
amfbr-346	59	3	⌡t	⌡t	ADJ
amfbr-346	59	4	|x|dx	|x|dx	NOUN
amfbr-346	59	5	=	=	SYM
amfbr-346	59	6	0	0	NUM
amfbr-346	59	7	(	(	PUNCT
amfbr-346	59	8	10	10	NUM
amfbr-346	59	9	)	)	PUNCT
amfbr-346	59	10	δβ	δβ	NOUN
amfbr-346	59	11	and	and	CCONJ
amfbr-346	59	12	using	use	VERB
amfbr-346	59	13	liebniz	liebniz	NOUN
amfbr-346	59	14	'	'	PART
amfbr-346	59	15	rule	rule	NOUN
amfbr-346	59	16	to	to	PART
amfbr-346	59	17	differentiate	differentiate	VERB
amfbr-346	59	18	the	the	DET
amfbr-346	59	19	integrals	integral	NOUN
amfbr-346	59	20	with	with	ADP
amfbr-346	59	21	respect	respect	NOUN
amfbr-346	59	22	to	to	ADP
amfbr-346	59	23	their	their	PRON
amfbr-346	59	24	variable	variable	ADJ
amfbr-346	59	25	bounds	bound	NOUN
amfbr-346	59	26	"	"	PUNCT
amfbr-346	59	27	t	t	PROPN
amfbr-346	59	28	"	"	PUNCT
amfbr-346	59	29	,	,	PUNCT
amfbr-346	59	30	yields	yield	NOUN
amfbr-346	59	31	,	,	PUNCT
amfbr-346	59	32	δs	δs	ADP
amfbr-346	59	33	y(t	y(t	PROPN
amfbr-346	59	34	)	)	PUNCT
amfbr-346	59	35	y(t	y(t	NUM
amfbr-346	59	36	)	)	PUNCT
amfbr-346	60	1	─	─	PROPN
amfbr-346	60	2	─	─	PROPN
amfbr-346	60	3	─	─	PROPN
amfbr-346	61	1	=	=	PUNCT
amfbr-346	61	2	-|t|	-|t|	PROPN
amfbr-346	62	1	[	[	X
amfbr-346	62	2	─	─	X
amfbr-346	62	3	─	─	X
amfbr-346	62	4	─	─	X
amfbr-346	62	5	β	β	X
amfbr-346	62	6	]	]	PUNCT
amfbr-346	62	7	|t|	|t|	PROPN
amfbr-346	62	8	[	[	X
amfbr-346	62	9	─	─	X
amfbr-346	62	10	─	─	X
amfbr-346	62	11	─	─	X
amfbr-346	62	12	β	β	X
amfbr-346	62	13	]	]	X
amfbr-346	62	14	=	=	SYM
amfbr-346	62	15	0	0	PUNCT
amfbr-346	62	16	(	(	PUNCT
amfbr-346	62	17	11	11	NUM
amfbr-346	62	18	)	)	PUNCT
amfbr-346	62	19	δt	δt	VERB
amfbr-346	62	20	t	t	PROPN
amfbr-346	62	21	t	t	PROPN
amfbr-346	62	22	since	since	SCONJ
amfbr-346	62	23	"	"	PUNCT
amfbr-346	62	24	x	x	X
amfbr-346	62	25	"	"	PUNCT
amfbr-346	62	26	belongs	belong	VERB
amfbr-346	62	27	to	to	ADP
amfbr-346	62	28	[	[	X
amfbr-346	62	29	0,1	0,1	NUM
amfbr-346	62	30	]	]	PUNCT
amfbr-346	62	31	,	,	PUNCT
amfbr-346	62	32	equation	equation	NOUN
amfbr-346	62	33	(	(	PUNCT
amfbr-346	62	34	10	10	NUM
amfbr-346	62	35	)	)	PUNCT
amfbr-346	62	36	can	can	AUX
amfbr-346	62	37	be	be	AUX
amfbr-346	62	38	written	write	VERB
amfbr-346	62	39	as	as	ADP
amfbr-346	62	40	,	,	PUNCT
amfbr-346	62	41	⌠t	⌠t	VERB
amfbr-346	63	1	⌠1	⌠1	PROPN
amfbr-346	63	2	⌡0	⌡0	PROPN
amfbr-346	63	3	xdx	xdx	PROPN
amfbr-346	63	4	⌡t	⌡t	PROPN
amfbr-346	63	5	xdx	xdx	PROPN
amfbr-346	64	1	=	=	SYM
amfbr-346	64	2	0	0	PROPN
amfbr-346	64	3	(	(	PUNCT
amfbr-346	64	4	12	12	NUM
amfbr-346	64	5	)	)	PUNCT
amfbr-346	64	6	or	or	CCONJ
amfbr-346	64	7	,	,	PUNCT
amfbr-346	64	8	½	½	NOUN
amfbr-346	64	9	t2	t2	PROPN
amfbr-346	64	10	½	½	NOUN
amfbr-346	64	11	+	+	CCONJ
amfbr-346	64	12	½t2	½t2	PUNCT
amfbr-346	64	13	=	=	SYM
amfbr-346	64	14	0	0	NUM
amfbr-346	64	15	(	(	PUNCT
amfbr-346	64	16	13	13	NUM
amfbr-346	64	17	)	)	PUNCT
amfbr-346	64	18	which	which	PRON
amfbr-346	64	19	yields	yield	VERB
amfbr-346	64	20	,	,	PUNCT
amfbr-346	64	21	t	t	PROPN
amfbr-346	64	22	=	=	SYM
amfbr-346	64	23	√2/2	√2/2	X
amfbr-346	64	24	(	(	PUNCT
amfbr-346	64	25	14	14	NUM
amfbr-346	64	26	)	)	PUNCT
amfbr-346	64	27	substitute	substitute	NOUN
amfbr-346	64	28	for	for	ADP
amfbr-346	64	29	"	"	PUNCT
amfbr-346	64	30	t	t	PROPN
amfbr-346	64	31	"	"	PUNCT
amfbr-346	64	32	in	in	ADP
amfbr-346	64	33	equation	equation	NOUN
amfbr-346	64	34	(	(	PUNCT
amfbr-346	64	35	11	11	NUM
amfbr-346	64	36	)	)	PUNCT
amfbr-346	64	37	,	,	PUNCT
amfbr-346	64	38	yields	yield	NOUN
amfbr-346	64	39	,	,	PUNCT
amfbr-346	64	40	copyright	copyright	NOUN
amfbr-346	64	41	©	©	PROPN
amfbr-346	64	42	cc	cc	PROPN
amfbr-346	64	43	-	-	PUNCT
amfbr-346	64	44	by	by	ADP
amfbr-346	64	45	-	-	PUNCT
amfbr-346	64	46	nc	nc	PROPN
amfbr-346	64	47	2019	2019	NUM
amfbr-346	64	48	,	,	PUNCT
amfbr-346	64	49	cribfb	cribfb	PROPN
amfbr-346	65	1	|	|	ADV
amfbr-346	65	2	amfbr	amfbr	ADJ
amfbr-346	65	3	www.cribfb.com/journal/index.php/amfbr	www.cribfb.com/journal/index.php/amfbr	PROPN
amfbr-346	65	4	american	american	PROPN
amfbr-346	65	5	finance	finance	PROPN
amfbr-346	65	6	&	&	CCONJ
amfbr-346	65	7	banking	banking	PROPN
amfbr-346	65	8	review	review	PROPN
amfbr-346	65	9	vol	vol	NOUN
amfbr-346	65	10	.	.	PROPN
amfbr-346	66	1	4	4	NUM
amfbr-346	66	2	,	,	PUNCT
amfbr-346	66	3	no	no	INTJ
amfbr-346	66	4	.	.	NOUN
amfbr-346	66	5	2	2	NUM
amfbr-346	66	6	;	;	PUNCT
amfbr-346	66	7	2019	2019	NUM
amfbr-346	66	8	13	13	NUM
amfbr-346	66	9	y(√2/2	y(√2/2	NOUN
amfbr-346	66	10	)	)	PUNCT
amfbr-346	67	1	β	β	X
amfbr-346	67	2	=	=	PUNCT
amfbr-346	68	1	─	─	PUNCT
amfbr-346	68	2	─	─	ADJ
amfbr-346	68	3	─	─	ADJ
amfbr-346	68	4	─	─	ADJ
amfbr-346	68	5	─	─	X
amfbr-346	68	6	(	(	PUNCT
amfbr-346	68	7	15	15	NUM
amfbr-346	68	8	)	)	PUNCT
amfbr-346	68	9	√2/2	√2/2	VERB
amfbr-346	68	10	remember	remember	VERB
amfbr-346	68	11	that	that	SCONJ
amfbr-346	68	12	y(t	y(t	PROPN
amfbr-346	68	13	)	)	PUNCT
amfbr-346	68	14	is	be	AUX
amfbr-346	68	15	function	function	NOUN
amfbr-346	68	16	y(x	y(x	NOUN
amfbr-346	68	17	)	)	PUNCT
amfbr-346	68	18	evaluated	evaluate	VERB
amfbr-346	68	19	at	at	ADP
amfbr-346	68	20	x	x	X
amfbr-346	68	21	=	=	NOUN
amfbr-346	68	22	t.	t.	ADJ
amfbr-346	68	23	value	value	NOUN
amfbr-346	68	24	of	of	ADP
amfbr-346	68	25	"	"	PUNCT
amfbr-346	68	26	β	β	NOUN
amfbr-346	68	27	"	"	PUNCT
amfbr-346	68	28	given	give	VERB
amfbr-346	68	29	by	by	ADP
amfbr-346	68	30	(	(	PUNCT
amfbr-346	68	31	15	15	NUM
amfbr-346	68	32	)	)	PUNCT
amfbr-346	68	33	is	be	AUX
amfbr-346	68	34	the	the	DET
amfbr-346	68	35	optimal	optimal	ADJ
amfbr-346	68	36	solution	solution	NOUN
amfbr-346	68	37	of	of	ADP
amfbr-346	68	38	(	(	PUNCT
amfbr-346	68	39	6	6	NUM
amfbr-346	68	40	)	)	PUNCT
amfbr-346	68	41	.	.	PUNCT
amfbr-346	69	1	the	the	DET
amfbr-346	69	2	above	above	ADJ
amfbr-346	69	3	procedure	procedure	NOUN
amfbr-346	69	4	actually	actually	ADV
amfbr-346	69	5	is	be	AUX
amfbr-346	69	6	a	a	DET
amfbr-346	69	7	generalization	generalization	NOUN
amfbr-346	69	8	of	of	ADP
amfbr-346	69	9	laplace	laplace	NOUN
amfbr-346	69	10	weighted	weight	VERB
amfbr-346	69	11	median	median	NOUN
amfbr-346	69	12	for	for	ADP
amfbr-346	69	13	the	the	DET
amfbr-346	69	14	continuous	continuous	ADJ
amfbr-346	69	15	case	case	NOUN
amfbr-346	69	16	.	.	PUNCT
amfbr-346	70	1	before	before	ADP
amfbr-346	70	2	applying	apply	VERB
amfbr-346	70	3	this	this	DET
amfbr-346	70	4	procedure	procedure	NOUN
amfbr-346	70	5	to	to	ADP
amfbr-346	70	6	the	the	DET
amfbr-346	70	7	lorenz	lorenz	PROPN
amfbr-346	70	8	curve	curve	NOUN
amfbr-346	70	9	,	,	PUNCT
amfbr-346	70	10	let	let	VERB
amfbr-346	70	11	us	we	PRON
amfbr-346	70	12	develop	develop	VERB
amfbr-346	70	13	the	the	DET
amfbr-346	70	14	procedure	procedure	NOUN
amfbr-346	70	15	for	for	ADP
amfbr-346	70	16	the	the	DET
amfbr-346	70	17	two	two	NUM
amfbr-346	70	18	parameters	parameter	NOUN
amfbr-346	70	19	linear	linear	PROPN
amfbr-346	70	20	model	model	NOUN
amfbr-346	70	21	.	.	PUNCT
amfbr-346	71	1	4	4	X
amfbr-346	71	2	.	.	X
amfbr-346	71	3	linear	linear	PROPN
amfbr-346	71	4	two	two	NUM
amfbr-346	71	5	parameters	parameter	NOUN
amfbr-346	71	6	l1	l1	PROPN
amfbr-346	71	7	norm	norm	VERB
amfbr-346	71	8	continuous	continuous	ADJ
amfbr-346	71	9	smoothing	smoothing	NOUN
amfbr-346	71	10	now	now	ADV
amfbr-346	71	11	,	,	PUNCT
amfbr-346	71	12	we	we	PRON
amfbr-346	71	13	try	try	VERB
amfbr-346	71	14	to	to	PART
amfbr-346	71	15	apply	apply	VERB
amfbr-346	71	16	the	the	DET
amfbr-346	71	17	above	above	ADJ
amfbr-346	71	18	technique	technique	NOUN
amfbr-346	71	19	to	to	ADP
amfbr-346	71	20	the	the	DET
amfbr-346	71	21	linear	linear	ADJ
amfbr-346	71	22	two	two	NUM
amfbr-346	71	23	parameters	parameter	NOUN
amfbr-346	71	24	model	model	NOUN
amfbr-346	71	25	.	.	PUNCT
amfbr-346	72	1	rewrite	rewrite	VERB
amfbr-346	72	2	(	(	PUNCT
amfbr-346	72	3	4	4	NUM
amfbr-346	72	4	)	)	PUNCT
amfbr-346	72	5	as	as	ADP
amfbr-346	72	6	,	,	PUNCT
amfbr-346	72	7	min	min	NOUN
amfbr-346	72	8	:	:	PUNCT
amfbr-346	72	9	s=||u||1=||y(x)-α	s=||u||1=||y(x)-α	PROPN
amfbr-346	72	10	-	-	PUNCT
amfbr-346	72	11	βx||1=∫	βx||1=∫	NUM
amfbr-346	72	12	xεi	xεi	PROPN
amfbr-346	72	13	|y(x)-α	|y(x)-α	PROPN
amfbr-346	72	14	-	-	PUNCT
amfbr-346	72	15	βx|dx	βx|dx	NOUN
amfbr-346	72	16	(	(	PUNCT
amfbr-346	72	17	16	16	NUM
amfbr-346	72	18	)	)	PUNCT
amfbr-346	72	19	α	α	NOUN
amfbr-346	72	20	,	,	PUNCT
amfbr-346	72	21	β	β	X
amfbr-346	72	22	where	where	SCONJ
amfbr-346	72	23	,	,	PUNCT
amfbr-346	72	24	"	"	PUNCT
amfbr-346	72	25	α	α	X
amfbr-346	72	26	"	"	PUNCT
amfbr-346	72	27	and	and	CCONJ
amfbr-346	72	28	"	"	PUNCT
amfbr-346	72	29	β	β	X
amfbr-346	72	30	"	"	PUNCT
amfbr-346	72	31	are	be	AUX
amfbr-346	72	32	two	two	NUM
amfbr-346	72	33	single	single	ADJ
amfbr-346	72	34	(	(	PUNCT
amfbr-346	72	35	non	non	ADJ
amfbr-346	72	36	-	-	NOUN
amfbr-346	72	37	vector	vector	ADJ
amfbr-346	72	38	)	)	PUNCT
amfbr-346	72	39	unknown	unknown	ADJ
amfbr-346	72	40	parameters	parameter	NOUN
amfbr-346	72	41	and	and	CCONJ
amfbr-346	72	42	y(x	y(x	NOUN
amfbr-346	72	43	)	)	PUNCT
amfbr-346	72	44	and	and	CCONJ
amfbr-346	72	45	"	"	PUNCT
amfbr-346	72	46	x	x	X
amfbr-346	72	47	"	"	PUNCT
amfbr-346	72	48	are	be	AUX
amfbr-346	72	49	as	as	ADP
amfbr-346	72	50	before	before	ADV
amfbr-346	72	51	.	.	PUNCT
amfbr-346	73	1	according	accord	VERB
amfbr-346	73	2	to	to	ADP
amfbr-346	73	3	rice	rice	NOUN
amfbr-346	73	4	(	(	PUNCT
amfbr-346	73	5	1964c	1964c	NUM
amfbr-346	73	6	)	)	PUNCT
amfbr-346	73	7	,	,	PUNCT
amfbr-346	73	8	let	let	VERB
amfbr-346	73	9	f(α*,β*,x	f(α*,β*,x	NOUN
amfbr-346	73	10	)	)	PUNCT
amfbr-346	73	11	interpolates	interpolate	VERB
amfbr-346	73	12	y(x	y(x	NOUN
amfbr-346	73	13	)	)	PUNCT
amfbr-346	73	14	at	at	ADP
amfbr-346	73	15	the	the	DET
amfbr-346	73	16	set	set	NOUN
amfbr-346	73	17	of	of	ADP
amfbr-346	73	18	canonical	canonical	ADJ
amfbr-346	73	19	points	point	NOUN
amfbr-346	73	20	{	{	PUNCT
amfbr-346	73	21	xi;i=1,2	xi;i=1,2	NUM
amfbr-346	73	22	}	}	PUNCT
amfbr-346	73	23	,	,	PUNCT
amfbr-346	73	24	if	if	SCONJ
amfbr-346	73	25	y(x	y(x	NOUN
amfbr-346	73	26	)	)	PUNCT
amfbr-346	73	27	is	be	AUX
amfbr-346	73	28	such	such	ADJ
amfbr-346	73	29	that	that	PRON
amfbr-346	73	30	y(x)-f(α*,β*,x	y(x)-f(α*,β*,x	NOUN
amfbr-346	73	31	)	)	PUNCT
amfbr-346	73	32	changes	change	NOUN
amfbr-346	73	33	sign	sign	VERB
amfbr-346	73	34	at	at	ADP
amfbr-346	73	35	these	these	DET
amfbr-346	73	36	xi	xi	NOUN
amfbr-346	73	37	's	's	PART
amfbr-346	73	38	and	and	CCONJ
amfbr-346	73	39	at	at	ADP
amfbr-346	73	40	no	no	DET
amfbr-346	73	41	other	other	ADJ
amfbr-346	73	42	points	point	NOUN
amfbr-346	73	43	in	in	ADP
amfbr-346	73	44	[	[	X
amfbr-346	73	45	0,1	0,1	NUM
amfbr-346	73	46	]	]	PUNCT
amfbr-346	73	47	,	,	PUNCT
amfbr-346	73	48	then	then	ADV
amfbr-346	73	49	f(α*,β*,x	f(α*,β*,x	NOUN
amfbr-346	73	50	)	)	PUNCT
amfbr-346	73	51	is	be	AUX
amfbr-346	73	52	the	the	DET
amfbr-346	73	53	best	good	ADJ
amfbr-346	73	54	l1	l1	PROPN
amfbr-346	73	55	norm	norm	NOUN
amfbr-346	73	56	approximation	approximation	NOUN
amfbr-346	73	57	to	to	ADP
amfbr-346	73	58	y(x	y(x	NOUN
amfbr-346	73	59	)	)	PUNCT
amfbr-346	73	60	(	(	PUNCT
amfbr-346	73	61	see	see	VERB
amfbr-346	73	62	also	also	ADV
amfbr-346	73	63	,	,	PUNCT
amfbr-346	73	64	usow	usow	NOUN
amfbr-346	73	65	(	(	PUNCT
amfbr-346	73	66	1967a	1967a	NUM
amfbr-346	73	67	)	)	PUNCT
amfbr-346	73	68	)	)	PUNCT
amfbr-346	73	69	.	.	PUNCT
amfbr-346	74	1	with	with	ADP
amfbr-346	74	2	the	the	DET
amfbr-346	74	3	help	help	NOUN
amfbr-346	74	4	of	of	ADP
amfbr-346	74	5	this	this	DET
amfbr-346	74	6	rule	rule	NOUN
amfbr-346	74	7	,	,	PUNCT
amfbr-346	74	8	if	if	SCONJ
amfbr-346	74	9	we	we	PRON
amfbr-346	74	10	denote	denote	VERB
amfbr-346	74	11	these	these	DET
amfbr-346	74	12	two	two	NUM
amfbr-346	74	13	points	point	NOUN
amfbr-346	74	14	to	to	ADP
amfbr-346	74	15	t1	t1	VERB
amfbr-346	74	16	and	and	CCONJ
amfbr-346	74	17	t2	t2	NOUN
amfbr-346	74	18	we	we	PRON
amfbr-346	74	19	can	can	AUX
amfbr-346	74	20	rewrite	rewrite	VERB
amfbr-346	74	21	(	(	PUNCT
amfbr-346	74	22	16	16	NUM
amfbr-346	74	23	)	)	PUNCT
amfbr-346	74	24	for	for	ADP
amfbr-346	74	25	i=[0,1	i=[0,1	PROPN
amfbr-346	74	26	]	]	PUNCT
amfbr-346	74	27	as	as	ADP
amfbr-346	74	28	,	,	PUNCT
amfbr-346	74	29	⌠t1	⌠t1	PROPN
amfbr-346	74	30	⌠t2	⌠t2	X
amfbr-346	74	31	⌠1	⌠1	PROPN
amfbr-346	74	32	s	s	PART
amfbr-346	75	1	=	=	PUNCT
amfbr-346	75	2	⌡0	⌡0	PRON
amfbr-346	76	1	[	[	X
amfbr-346	76	2	y(x)-α	y(x)-α	PROPN
amfbr-346	76	3	-	-	PUNCT
amfbr-346	76	4	βx]dx	βx]dx	ADJ
amfbr-346	76	5	⌡t1	⌡t1	PROPN
amfbr-346	77	1	[	[	X
amfbr-346	77	2	y(x)-α	y(x)-α	PROPN
amfbr-346	77	3	-	-	PUNCT
amfbr-346	77	4	βx]dx	βx]dx	NOUN
amfbr-346	77	5	+	+	CCONJ
amfbr-346	77	6	⌡t2	⌡t2	X
amfbr-346	77	7	[	[	X
amfbr-346	77	8	y(x)-α	y(x)-α	PROPN
amfbr-346	77	9	-	-	NOUN
amfbr-346	77	10	βx]dx	βx]dx	PROPN
amfbr-346	77	11	(	(	PUNCT
amfbr-346	77	12	17	17	NUM
amfbr-346	77	13	)	)	PUNCT
amfbr-346	77	14	since	since	SCONJ
amfbr-346	77	15	t1	t1	NOUN
amfbr-346	77	16	and	and	CCONJ
amfbr-346	77	17	t2	t2	NOUN
amfbr-346	77	18	are	be	AUX
amfbr-346	77	19	also	also	ADV
amfbr-346	77	20	unknowns	unknown	NOUN
amfbr-346	77	21	,	,	PUNCT
amfbr-346	77	22	we	we	PRON
amfbr-346	77	23	should	should	AUX
amfbr-346	77	24	minimize	minimize	VERB
amfbr-346	77	25	s	s	PRON
amfbr-346	77	26	with	with	ADP
amfbr-346	77	27	respect	respect	NOUN
amfbr-346	77	28	to	to	ADP
amfbr-346	77	29	α	α	PRON
amfbr-346	77	30	,	,	PUNCT
amfbr-346	77	31	β	β	PROPN
amfbr-346	77	32	,	,	PUNCT
amfbr-346	77	33	t1	t1	NOUN
amfbr-346	77	34	and	and	CCONJ
amfbr-346	77	35	t2	t2	NOUN
amfbr-346	77	36	.	.	PUNCT
amfbr-346	78	1	taking	take	VERB
amfbr-346	78	2	partial	partial	ADJ
amfbr-346	78	3	derivative	derivative	NOUN
amfbr-346	78	4	of	of	ADP
amfbr-346	78	5	(	(	PUNCT
amfbr-346	78	6	17	17	NUM
amfbr-346	78	7	)	)	PUNCT
amfbr-346	78	8	using	use	VERB
amfbr-346	78	9	liebniz	liebniz	NOUN
amfbr-346	78	10	'	'	PART
amfbr-346	78	11	rule	rule	NOUN
amfbr-346	78	12	with	with	ADP
amfbr-346	78	13	respect	respect	NOUN
amfbr-346	78	14	to	to	ADP
amfbr-346	78	15	these	these	DET
amfbr-346	78	16	variables	variable	NOUN
amfbr-346	78	17	and	and	CCONJ
amfbr-346	78	18	equating	equate	VERB
amfbr-346	78	19	them	they	PRON
amfbr-346	78	20	to	to	ADP
amfbr-346	78	21	zero	zero	NUM
amfbr-346	78	22	,	,	PUNCT
amfbr-346	78	23	we	we	PRON
amfbr-346	78	24	will	will	AUX
amfbr-346	78	25	have	have	AUX
amfbr-346	78	26	,	,	PUNCT
amfbr-346	78	27	δs	δs	VERB
amfbr-346	78	28	⌠t1	⌠t1	PROPN
amfbr-346	78	29	⌠t2	⌠t2	NOUN
amfbr-346	78	30	⌠t1	⌠t1	X
amfbr-346	78	31	─	─	PROPN
amfbr-346	78	32	─	─	PROPN
amfbr-346	78	33	─	─	PROPN
amfbr-346	79	1	=	=	PUNCT
amfbr-346	80	1	⌡0	⌡0	CCONJ
amfbr-346	80	2	dx	dx	PROPN
amfbr-346	80	3	+	+	CCONJ
amfbr-346	80	4	⌡t1	⌡t1	PROPN
amfbr-346	80	5	dx	dx	PROPN
amfbr-346	80	6	⌡t2	⌡t2	PROPN
amfbr-346	80	7	dx	dx	PROPN
amfbr-346	81	1	=	=	SYM
amfbr-346	81	2	0	0	PROPN
amfbr-346	81	3	(	(	PUNCT
amfbr-346	81	4	18	18	NUM
amfbr-346	81	5	)	)	PUNCT
amfbr-346	81	6	δα	δα	AUX
amfbr-346	81	7	δs	δs	ADV
amfbr-346	81	8	⌠t1	⌠t1	PROPN
amfbr-346	81	9	⌠t2	⌠t2	NOUN
amfbr-346	81	10	⌠t1	⌠t1	X
amfbr-346	81	11	─	─	PROPN
amfbr-346	81	12	─	─	PROPN
amfbr-346	81	13	─	─	PROPN
amfbr-346	82	1	=	=	PUNCT
amfbr-346	83	1	⌡0	⌡0	CCONJ
amfbr-346	83	2	dx	dx	PROPN
amfbr-346	83	3	+	+	CCONJ
amfbr-346	83	4	⌡t1	⌡t1	PROPN
amfbr-346	83	5	dx	dx	PROPN
amfbr-346	83	6	⌡t2	⌡t2	PROPN
amfbr-346	83	7	dx	dx	PROPN
amfbr-346	84	1	=	=	SYM
amfbr-346	84	2	0	0	PROPN
amfbr-346	84	3	(	(	PUNCT
amfbr-346	84	4	19	19	NUM
amfbr-346	84	5	)	)	PUNCT
amfbr-346	84	6	δβ	δβ	NOUN
amfbr-346	84	7	δs	δs	NOUN
amfbr-346	84	8	─	─	VERB
amfbr-346	84	9	─	─	PROPN
amfbr-346	84	10	─	─	PROPN
amfbr-346	84	11	=	=	SYM
amfbr-346	84	12	2[y(t1	2[y(t1	NUM
amfbr-346	84	13	)	)	PUNCT
amfbr-346	84	14	-α	-α	PROPN
amfbr-346	84	15	-	-	PUNCT
amfbr-346	84	16	βt1	βt1	NOUN
amfbr-346	84	17	]	]	X
amfbr-346	85	1	=	=	SYM
amfbr-346	85	2	0	0	NUM
amfbr-346	85	3	(	(	PUNCT
amfbr-346	85	4	20	20	NUM
amfbr-346	85	5	)	)	PUNCT
amfbr-346	85	6	δt1	δt1	NOUN
amfbr-346	85	7	δs	δs	NOUN
amfbr-346	85	8	─	─	VERB
amfbr-346	85	9	─	─	PROPN
amfbr-346	85	10	─	─	PROPN
amfbr-346	85	11	=	=	SYM
amfbr-346	85	12	2[y(t2	2[y(t2	NUM
amfbr-346	85	13	)	)	PUNCT
amfbr-346	86	1	-α	-α	PUNCT
amfbr-346	86	2	βt2	βt2	NOUN
amfbr-346	86	3	]	]	X
amfbr-346	86	4	=	=	SYM
amfbr-346	86	5	0	0	NUM
amfbr-346	86	6	(	(	PUNCT
amfbr-346	86	7	21	21	NUM
amfbr-346	86	8	)	)	PUNCT
amfbr-346	86	9	δt2	δt2	VERB
amfbr-346	86	10	equations	equation	NOUN
amfbr-346	86	11	(	(	PUNCT
amfbr-346	86	12	18	18	NUM
amfbr-346	86	13	)	)	PUNCT
amfbr-346	86	14	through	through	ADP
amfbr-346	86	15	(	(	PUNCT
amfbr-346	86	16	21	21	NUM
amfbr-346	86	17	)	)	PUNCT
amfbr-346	86	18	may	may	AUX
amfbr-346	86	19	be	be	AUX
amfbr-346	86	20	solved	solve	VERB
amfbr-346	86	21	simultaneously	simultaneously	ADV
amfbr-346	86	22	for	for	ADP
amfbr-346	86	23	α	α	NOUN
amfbr-346	86	24	,	,	PUNCT
amfbr-346	86	25	β	β	PROPN
amfbr-346	86	26	,	,	PUNCT
amfbr-346	86	27	t1	t1	NOUN
amfbr-346	86	28	and	and	CCONJ
amfbr-346	86	29	t2	t2	NOUN
amfbr-346	86	30	.	.	PUNCT
amfbr-346	87	1	thus	thus	ADV
amfbr-346	87	2	,	,	PUNCT
amfbr-346	87	3	we	we	PRON
amfbr-346	87	4	have	have	VERB
amfbr-346	87	5	the	the	DET
amfbr-346	87	6	following	follow	VERB
amfbr-346	87	7	system	system	NOUN
amfbr-346	87	8	of	of	ADP
amfbr-346	87	9	equations	equation	NOUN
amfbr-346	87	10	,	,	PUNCT
amfbr-346	87	11	2t2	2t2	NUM
amfbr-346	87	12	2t1	2t1	NUM
amfbr-346	87	13	1	1	NUM
amfbr-346	87	14	=	=	SYM
amfbr-346	87	15	0	0	NUM
amfbr-346	87	16	(	(	PUNCT
amfbr-346	87	17	22	22	NUM
amfbr-346	87	18	)	)	PUNCT
amfbr-346	87	19	t2	t2	NOUN
amfbr-346	87	20	2	2	NUM
amfbr-346	87	21	t1	t1	NOUN
amfbr-346	87	22	2	2	NUM
amfbr-346	87	23	½	½	NOUN
amfbr-346	87	24	=	=	SYM
amfbr-346	87	25	0	0	NUM
amfbr-346	88	1	(	(	PUNCT
amfbr-346	88	2	23	23	NUM
amfbr-346	88	3	)	)	PUNCT
amfbr-346	88	4	y(t1	y(t1	NOUN
amfbr-346	88	5	)	)	PUNCT
amfbr-346	89	1	α	α	X
amfbr-346	89	2	βt1	βt1	PUNCT
amfbr-346	90	1	=	=	SYM
amfbr-346	90	2	0	0	NUM
amfbr-346	90	3	(	(	PUNCT
amfbr-346	90	4	24	24	NUM
amfbr-346	90	5	)	)	PUNCT
amfbr-346	90	6	y(t2	y(t2	NOUN
amfbr-346	90	7	)	)	PUNCT
amfbr-346	90	8	α	α	NOUN
amfbr-346	90	9	βt2	βt2	PUNCT
amfbr-346	91	1	=	=	SYM
amfbr-346	91	2	0	0	PUNCT
amfbr-346	91	3	(	(	PUNCT
amfbr-346	91	4	25	25	NUM
amfbr-346	91	5	)	)	PUNCT
amfbr-346	91	6	the	the	DET
amfbr-346	91	7	solutions	solution	NOUN
amfbr-346	91	8	are	be	AUX
amfbr-346	91	9	,	,	PUNCT
amfbr-346	91	10	t1=1/4	t1=1/4	X
amfbr-346	91	11	(	(	PUNCT
amfbr-346	91	12	26	26	NUM
amfbr-346	91	13	)	)	PUNCT
amfbr-346	91	14	t2=3/4	t2=3/4	NUM
amfbr-346	91	15	(	(	PUNCT
amfbr-346	91	16	27	27	NUM
amfbr-346	91	17	)	)	PUNCT
amfbr-346	91	18	α	α	NOUN
amfbr-346	91	19	=	=	SYM
amfbr-346	91	20	y(3/4)-(3/4)β	y(3/4)-(3/4)β	NOUN
amfbr-346	91	21	=	=	PUNCT
amfbr-346	91	22	y(1/4)-(1/4)β	y(1/4)-(1/4)β	NOUN
amfbr-346	91	23	(	(	PUNCT
amfbr-346	91	24	28	28	NUM
amfbr-346	91	25	)	)	PUNCT
amfbr-346	91	26	β	β	NOUN
amfbr-346	91	27	=	=	PUNCT
amfbr-346	91	28	2[y(3/4)-y(1/4	2[y(3/4)-y(1/4	NUM
amfbr-346	91	29	)	)	PUNCT
amfbr-346	91	30	]	]	PUNCT
amfbr-346	92	1	(	(	PUNCT
amfbr-346	92	2	29	29	NUM
amfbr-346	92	3	)	)	PUNCT
amfbr-346	92	4	this	this	DET
amfbr-346	92	5	procedure	procedure	NOUN
amfbr-346	92	6	,	,	PUNCT
amfbr-346	92	7	similar	similar	ADJ
amfbr-346	92	8	to	to	ADP
amfbr-346	92	9	that	that	PRON
amfbr-346	92	10	of	of	ADP
amfbr-346	92	11	multiple	multiple	ADJ
amfbr-346	92	12	regression	regression	NOUN
amfbr-346	92	13	model	model	NOUN
amfbr-346	92	14	for	for	ADP
amfbr-346	92	15	discrete	discrete	ADJ
amfbr-346	92	16	case	case	NOUN
amfbr-346	92	17	may	may	AUX
amfbr-346	92	18	be	be	AUX
amfbr-346	92	19	expanded	expand	VERB
amfbr-346	92	20	to	to	PART
amfbr-346	92	21	include	include	VERB
amfbr-346	92	22	"	"	PUNCT
amfbr-346	92	23	m	m	NOUN
amfbr-346	92	24	"	"	PUNCT
amfbr-346	92	25	unknown	unknown	ADJ
amfbr-346	92	26	parameters	parameter	NOUN
amfbr-346	92	27	which	which	PRON
amfbr-346	92	28	is	be	AUX
amfbr-346	92	29	not	not	PART
amfbr-346	92	30	discussed	discuss	VERB
amfbr-346	92	31	here	here	ADV
amfbr-346	92	32	.	.	PUNCT
amfbr-346	93	1	some	some	DET
amfbr-346	93	2	computational	computational	ADJ
amfbr-346	93	3	methods	method	NOUN
amfbr-346	93	4	for	for	ADP
amfbr-346	93	5	solving	solve	VERB
amfbr-346	93	6	the	the	DET
amfbr-346	93	7	different	different	ADJ
amfbr-346	93	8	cases	case	NOUN
amfbr-346	93	9	of	of	ADP
amfbr-346	93	10	m	m	PROPN
amfbr-346	93	11	parameters	parameter	NOUN
amfbr-346	93	12	model	model	NOUN
amfbr-346	93	13	are	be	AUX
amfbr-346	93	14	investigated	investigate	VERB
amfbr-346	93	15	by	by	ADP
amfbr-346	93	16	ptak	ptak	PROPN
amfbr-346	93	17	(	(	PUNCT
amfbr-346	93	18	1958	1958	NUM
amfbr-346	93	19	)	)	PUNCT
amfbr-346	93	20	,	,	PUNCT
amfbr-346	93	21	rice	rice	NOUN
amfbr-346	93	22	and	and	CCONJ
amfbr-346	93	23	white	white	ADJ
amfbr-346	93	24	(	(	PUNCT
amfbr-346	93	25	1964	1964	NUM
amfbr-346	93	26	)	)	PUNCT
amfbr-346	93	27	,	,	PUNCT
amfbr-346	93	28	rice	rice	NOUN
amfbr-346	93	29	(	(	PUNCT
amfbr-346	93	30	1964a	1964a	NOUN
amfbr-346	93	31	,	,	PUNCT
amfbr-346	93	32	b	b	NOUN
amfbr-346	93	33	,	,	PUNCT
amfbr-346	93	34	c,69,85	c,69,85	PROPN
amfbr-346	93	35	)	)	PUNCT
amfbr-346	93	36	,	,	PUNCT
amfbr-346	93	37	usow	usow	NOUN
amfbr-346	93	38	(	(	PUNCT
amfbr-346	93	39	1967a	1967a	NUM
amfbr-346	93	40	)	)	PUNCT
amfbr-346	93	41	,	,	PUNCT
amfbr-346	93	42	lazarski	lazarski	NOUN
amfbr-346	93	43	(	(	PUNCT
amfbr-346	93	44	1975a	1975a	NUM
amfbr-346	93	45	,	,	PUNCT
amfbr-346	93	46	b	b	NOUN
amfbr-346	93	47	,	,	PUNCT
amfbr-346	93	48	c,77	c,77	NOUN
amfbr-346	93	49	)	)	PUNCT
amfbr-346	93	50	(	(	PUNCT
amfbr-346	93	51	see	see	VERB
amfbr-346	93	52	also	also	ADV
amfbr-346	93	53	,	,	PUNCT
amfbr-346	93	54	hobby	hobby	NOUN
amfbr-346	93	55	and	and	CCONJ
amfbr-346	93	56	rice	rice	NOUN
amfbr-346	93	57	(	(	PUNCT
amfbr-346	93	58	1965	1965	NUM
amfbr-346	93	59	)	)	PUNCT
amfbr-346	93	60	,	,	PUNCT
amfbr-346	93	61	kripke	kripke	NOUN
amfbr-346	93	62	and	and	CCONJ
amfbr-346	93	63	rivlin	rivlin	PROPN
amfbr-346	93	64	(	(	PUNCT
amfbr-346	93	65	1965	1965	NUM
amfbr-346	93	66	)	)	PUNCT
amfbr-346	93	67	,	,	PUNCT
amfbr-346	93	68	watson	watson	NOUN
amfbr-346	93	69	(	(	PUNCT
amfbr-346	93	70	1981	1981	NUM
amfbr-346	93	71	)	)	PUNCT
amfbr-346	93	72	)	)	PUNCT
amfbr-346	93	73	.	.	PUNCT
amfbr-346	94	1	now	now	ADV
amfbr-346	94	2	,	,	PUNCT
amfbr-346	94	3	let	let	VERB
amfbr-346	94	4	us	we	PRON
amfbr-346	94	5	have	have	VERB
amfbr-346	94	6	a	a	DET
amfbr-346	94	7	look	look	NOUN
amfbr-346	94	8	at	at	ADP
amfbr-346	94	9	lorenz	lorenz	PROPN
amfbr-346	94	10	curve	curve	NOUN
amfbr-346	94	11	and	and	CCONJ
amfbr-346	94	12	its	its	PRON
amfbr-346	94	13	proposed	propose	VERB
amfbr-346	94	14	functional	functional	ADJ
amfbr-346	94	15	forms	form	NOUN
amfbr-346	94	16	.	.	PUNCT
amfbr-346	95	1	5	5	X
amfbr-346	95	2	.	.	X
amfbr-346	95	3	lorenz	lorenz	PROPN
amfbr-346	95	4	curve	curve	VERB
amfbr-346	95	5	the	the	DET
amfbr-346	95	6	lorenz	lorenz	PROPN
amfbr-346	95	7	curve	curve	NOUN
amfbr-346	95	8	for	for	ADP
amfbr-346	95	9	a	a	DET
amfbr-346	95	10	random	random	ADJ
amfbr-346	95	11	variable	variable	NOUN
amfbr-346	95	12	with	with	ADP
amfbr-346	95	13	probability	probability	NOUN
amfbr-346	95	14	density	density	NOUN
amfbr-346	95	15	function	function	NOUN
amfbr-346	95	16	f(v	f(v	NOUN
amfbr-346	95	17	)	)	PUNCT
amfbr-346	95	18	may	may	AUX
amfbr-346	95	19	be	be	AUX
amfbr-346	95	20	defined	define	VERB
amfbr-346	95	21	as	as	ADP
amfbr-346	95	22	the	the	DET
amfbr-346	95	23	ordered	ordered	ADJ
amfbr-346	95	24	pair1	pair1	NOUN
amfbr-346	95	25	,	,	PUNCT
amfbr-346	95	26	e(v|v	e(v|v	NOUN
amfbr-346	95	27	≤	≤	NUM
amfbr-346	95	28	v	v	NOUN
amfbr-346	95	29	)	)	PUNCT
amfbr-346	95	30	(	(	PUNCT
amfbr-346	95	31	p(v|v	p(v|v	NOUN
amfbr-346	95	32	≤	≤	NUM
amfbr-346	95	33	v	v	NOUN
amfbr-346	95	34	)	)	PUNCT
amfbr-346	95	35	,	,	PUNCT
amfbr-346	95	36	─	─	X
amfbr-346	95	37	─	─	X
amfbr-346	95	38	─	─	ADJ
amfbr-346	95	39	─	─	ADJ
amfbr-346	95	40	─	─	ADJ
amfbr-346	95	41	─	─	PROPN
amfbr-346	95	42	)	)	PUNCT
amfbr-346	95	43	vεr	vεr	NOUN
amfbr-346	95	44	(	(	PUNCT
amfbr-346	95	45	30	30	NUM
amfbr-346	95	46	)	)	PUNCT
amfbr-346	95	47	1	1	NUM
amfbr-346	95	48	taguchi	taguchi	PROPN
amfbr-346	95	49	(	(	PUNCT
amfbr-346	95	50	1972a	1972a	NUM
amfbr-346	95	51	,	,	PUNCT
amfbr-346	95	52	b	b	NOUN
amfbr-346	95	53	,	,	PUNCT
amfbr-346	95	54	c,73,81,83,87,88	c,73,81,83,87,88	NOUN
amfbr-346	95	55	)	)	PUNCT
amfbr-346	95	56	multiplies	multiply	VERB
amfbr-346	95	57	the	the	DET
amfbr-346	95	58	second	second	ADJ
amfbr-346	95	59	element	element	NOUN
amfbr-346	95	60	of	of	ADP
amfbr-346	95	61	(	(	PUNCT
amfbr-346	95	62	30	30	NUM
amfbr-346	95	63	)	)	PUNCT
amfbr-346	95	64	by	by	ADP
amfbr-346	95	65	p(v|v≤v	p(v|v≤v	NOUN
amfbr-346	95	66	)	)	PUNCT
amfbr-346	95	67	which	which	PRON
amfbr-346	95	68	is	be	AUX
amfbr-346	95	69	not	not	PART
amfbr-346	95	70	correct	correct	ADJ
amfbr-346	95	71	;	;	PUNCT
amfbr-346	95	72	his	his	PRON
amfbr-346	95	73	definition	definition	NOUN
amfbr-346	95	74	of	of	ADP
amfbr-346	95	75	(	(	PUNCT
amfbr-346	95	76	31	31	NUM
amfbr-346	95	77	)	)	PUNCT
amfbr-346	95	78	is	be	AUX
amfbr-346	95	79	equivalent	equivalent	ADJ
amfbr-346	95	80	to	to	ADP
amfbr-346	95	81	ours	ours	PRON
amfbr-346	95	82	.	.	PUNCT
amfbr-346	96	1	copyright	copyright	NOUN
amfbr-346	96	2	©	©	PROPN
amfbr-346	96	3	cc	cc	PROPN
amfbr-346	96	4	-	-	PUNCT
amfbr-346	96	5	by	by	ADP
amfbr-346	96	6	-	-	PUNCT
amfbr-346	96	7	nc	nc	PROPN
amfbr-346	96	8	2019	2019	NUM
amfbr-346	96	9	,	,	PUNCT
amfbr-346	96	10	cribfb	cribfb	PROPN
amfbr-346	96	11	|	|	ADV
amfbr-346	96	12	amfbr	amfbr	ADJ
amfbr-346	96	13	www.cribfb.com/journal/index.php/amfbr	www.cribfb.com/journal/index.php/amfbr	PROPN
amfbr-346	96	14	american	american	PROPN
amfbr-346	96	15	finance	finance	PROPN
amfbr-346	96	16	&	&	CCONJ
amfbr-346	96	17	banking	banking	PROPN
amfbr-346	96	18	review	review	PROPN
amfbr-346	96	19	vol	vol	NOUN
amfbr-346	96	20	.	.	PROPN
amfbr-346	97	1	4	4	NUM
amfbr-346	97	2	,	,	PUNCT
amfbr-346	97	3	no	no	INTJ
amfbr-346	97	4	.	.	NOUN
amfbr-346	97	5	2	2	NUM
amfbr-346	97	6	;	;	PUNCT
amfbr-346	97	7	2019	2019	NUM
amfbr-346	97	8	14	14	NUM
amfbr-346	97	9	e(v	e(v	NOUN
amfbr-346	97	10	)	)	PUNCT
amfbr-346	97	11	where	where	SCONJ
amfbr-346	97	12	"	"	PUNCT
amfbr-346	97	13	p	p	X
amfbr-346	97	14	"	"	PUNCT
amfbr-346	97	15	and	and	CCONJ
amfbr-346	97	16	"	"	PUNCT
amfbr-346	97	17	e	e	NOUN
amfbr-346	97	18	"	"	PUNCT
amfbr-346	97	19	stand	stand	VERB
amfbr-346	97	20	for	for	ADP
amfbr-346	97	21	probability	probability	NOUN
amfbr-346	97	22	and	and	CCONJ
amfbr-346	97	23	expected	expect	VERB
amfbr-346	97	24	value	value	NOUN
amfbr-346	97	25	operators	operator	NOUN
amfbr-346	97	26	.	.	PUNCT
amfbr-346	98	1	for	for	ADP
amfbr-346	98	2	a	a	DET
amfbr-346	98	3	continuous	continuous	ADJ
amfbr-346	98	4	density	density	NOUN
amfbr-346	98	5	function	function	NOUN
amfbr-346	98	6	f(v	f(v	NOUN
amfbr-346	98	7	)	)	PUNCT
amfbr-346	98	8	,	,	PUNCT
amfbr-346	98	9	(	(	PUNCT
amfbr-346	98	10	30	30	NUM
amfbr-346	98	11	)	)	PUNCT
amfbr-346	98	12	can	can	AUX
amfbr-346	98	13	be	be	AUX
amfbr-346	98	14	written	write	VERB
amfbr-346	98	15	as	as	ADP
amfbr-346	98	16	,	,	PUNCT
amfbr-346	98	17	⌠v	⌠v	ADJ
amfbr-346	98	18	⌠v	⌠v	ADJ
amfbr-346	98	19	⌡-∞	⌡-∞	NOUN
amfbr-346	98	20	wf(w)dw	wf(w)dw	NOUN
amfbr-346	98	21	(	(	PUNCT
amfbr-346	98	22	⌡-∞	⌡-∞	NOUN
amfbr-346	98	23	f(w)dw	f(w)dw	PROPN
amfbr-346	98	24	,	,	PUNCT
amfbr-346	98	25	─	─	X
amfbr-346	98	26	─	─	PROPN
amfbr-346	98	27	─	─	ADJ
amfbr-346	98	28	─	─	ADJ
amfbr-346	98	29	─	─	ADJ
amfbr-346	98	30	─	─	ADJ
amfbr-346	98	31	─	─	ADJ
amfbr-346	98	32	─	─	INTJ
amfbr-346	98	33	)	)	PUNCT
amfbr-346	98	34	≡	≡	PROPN
amfbr-346	98	35	(	(	PUNCT
amfbr-346	98	36	x(v),y(x(v	x(v),y(x(v	NUM
amfbr-346	98	37	)	)	PUNCT
amfbr-346	98	38	)	)	PUNCT
amfbr-346	98	39	)	)	PUNCT
amfbr-346	99	1	(	(	PUNCT
amfbr-346	99	2	31	31	NUM
amfbr-346	99	3	)	)	PUNCT
amfbr-346	99	4	⌠+∞	⌠+∞	ADJ
amfbr-346	99	5	⌡-∞	⌡-∞	NOUN
amfbr-346	99	6	wf(w)dw	wf(w)dw	NOUN
amfbr-346	99	7	we	we	PRON
amfbr-346	99	8	denote	denote	VERB
amfbr-346	99	9	(	(	PUNCT
amfbr-346	99	10	31	31	NUM
amfbr-346	99	11	)	)	PUNCT
amfbr-346	99	12	by	by	ADP
amfbr-346	99	13	(	(	PUNCT
amfbr-346	99	14	x(v),y(x(v	x(v),y(x(v	NUM
amfbr-346	99	15	)	)	PUNCT
amfbr-346	99	16	)	)	PUNCT
amfbr-346	99	17	)	)	PUNCT
amfbr-346	100	1	where	where	SCONJ
amfbr-346	100	2	x(v	x(v	NOUN
amfbr-346	100	3	)	)	PUNCT
amfbr-346	100	4	and	and	CCONJ
amfbr-346	100	5	y(x(v	y(x(v	NOUN
amfbr-346	100	6	)	)	PUNCT
amfbr-346	100	7	)	)	PUNCT
amfbr-346	100	8	are	be	AUX
amfbr-346	100	9	its	its	PRON
amfbr-346	100	10	elements	element	NOUN
amfbr-346	100	11	.	.	PUNCT
amfbr-346	101	1	therefore	therefore	ADV
amfbr-346	101	2	,	,	PUNCT
amfbr-346	101	3	"	"	PUNCT
amfbr-346	101	4	x	x	X
amfbr-346	101	5	"	"	PUNCT
amfbr-346	101	6	is	be	AUX
amfbr-346	101	7	a	a	DET
amfbr-346	101	8	function	function	NOUN
amfbr-346	101	9	which	which	PRON
amfbr-346	101	10	maps	map	VERB
amfbr-346	101	11	"	"	PUNCT
amfbr-346	101	12	v	v	NOUN
amfbr-346	101	13	"	"	PUNCT
amfbr-346	101	14	to	to	ADP
amfbr-346	101	15	x(v	x(v	NUM
amfbr-346	101	16	)	)	PUNCT
amfbr-346	101	17	and	and	CCONJ
amfbr-346	101	18	"	"	PUNCT
amfbr-346	101	19	y	y	NOUN
amfbr-346	101	20	"	"	PUNCT
amfbr-346	101	21	is	be	AUX
amfbr-346	101	22	a	a	DET
amfbr-346	101	23	function	function	NOUN
amfbr-346	101	24	which	which	PRON
amfbr-346	101	25	maps	map	VERB
amfbr-346	101	26	x(v	x(v	PROPN
amfbr-346	101	27	)	)	PUNCT
amfbr-346	101	28	to	to	ADP
amfbr-346	101	29	y(x(v	y(x(v	NOUN
amfbr-346	101	30	)	)	PUNCT
amfbr-346	101	31	)	)	PUNCT
amfbr-346	101	32	.	.	PUNCT
amfbr-346	102	1	the	the	DET
amfbr-346	102	2	function	function	NOUN
amfbr-346	102	3	y(x(v	y(x(v	NOUN
amfbr-346	102	4	)	)	PUNCT
amfbr-346	102	5	)	)	PUNCT
amfbr-346	102	6	is	be	AUX
amfbr-346	102	7	simply	simply	ADV
amfbr-346	102	8	the	the	DET
amfbr-346	102	9	lorenz	lorenz	PROPN
amfbr-346	102	10	curve	curve	PROPN
amfbr-346	102	11	function	function	NOUN
amfbr-346	102	12	.	.	PUNCT
amfbr-346	103	1	in	in	ADP
amfbr-346	103	2	recent	recent	ADJ
amfbr-346	103	3	years	year	NOUN
amfbr-346	103	4	some	some	DET
amfbr-346	103	5	functional	functional	ADJ
amfbr-346	103	6	forms	form	NOUN
amfbr-346	103	7	for	for	ADP
amfbr-346	103	8	the	the	DET
amfbr-346	103	9	lorenz	lorenz	PROPN
amfbr-346	103	10	curve	curve	NOUN
amfbr-346	103	11	have	have	AUX
amfbr-346	103	12	been	be	AUX
amfbr-346	103	13	introduced	introduce	VERB
amfbr-346	103	14	.	.	PUNCT
amfbr-346	104	1	among	among	ADP
amfbr-346	104	2	different	different	ADJ
amfbr-346	104	3	proposed	propose	VERB
amfbr-346	104	4	functions	function	NOUN
amfbr-346	104	5	,	,	PUNCT
amfbr-346	104	6	we	we	PRON
amfbr-346	104	7	use	use	VERB
amfbr-346	104	8	the	the	DET
amfbr-346	104	9	forms	form	NOUN
amfbr-346	104	10	of	of	ADP
amfbr-346	104	11	gupta	gupta	PROPN
amfbr-346	104	12	(	(	PUNCT
amfbr-346	104	13	1984	1984	NUM
amfbr-346	104	14	)	)	PUNCT
amfbr-346	104	15	and	and	CCONJ
amfbr-346	104	16	bidabad	bidabad	VERB
amfbr-346	104	17	and	and	CCONJ
amfbr-346	104	18	bidabad	bidabad	ADJ
amfbr-346	104	19	(	(	PUNCT
amfbr-346	104	20	1989,92	1989,92	NUM
amfbr-346	104	21	)	)	PUNCT
amfbr-346	104	22	which	which	PRON
amfbr-346	104	23	benefits	benefit	VERB
amfbr-346	104	24	from	from	ADP
amfbr-346	104	25	certain	certain	ADJ
amfbr-346	104	26	properties	property	NOUN
amfbr-346	104	27	(	(	PUNCT
amfbr-346	104	28	see	see	VERB
amfbr-346	104	29	the	the	DET
amfbr-346	104	30	papers	paper	NOUN
amfbr-346	104	31	for	for	ADP
amfbr-346	104	32	more	more	ADJ
amfbr-346	104	33	explanations	explanation	NOUN
amfbr-346	104	34	)	)	PUNCT
amfbr-346	104	35	.	.	PUNCT
amfbr-346	105	1	gupta	gupta	PROPN
amfbr-346	105	2	(	(	PUNCT
amfbr-346	105	3	1984	1984	NUM
amfbr-346	105	4	)	)	PUNCT
amfbr-346	105	5	proposed	propose	VERB
amfbr-346	105	6	the	the	DET
amfbr-346	105	7	functional	functional	ADJ
amfbr-346	105	8	form	form	NOUN
amfbr-346	105	9	,	,	PUNCT
amfbr-346	105	10	y	y	PROPN
amfbr-346	105	11	=	=	PROPN
amfbr-346	105	12	xax-1	xax-1	PUNCT
amfbr-346	105	13	a>1	a>1	ADJ
amfbr-346	105	14	(	(	PUNCT
amfbr-346	105	15	32	32	NUM
amfbr-346	105	16	)	)	PUNCT
amfbr-346	105	17	bidabad	bidabad	NOUN
amfbr-346	105	18	and	and	CCONJ
amfbr-346	105	19	bidabad	bidabad	ADJ
amfbr-346	105	20	(	(	PUNCT
amfbr-346	105	21	1989,92	1989,92	NUM
amfbr-346	105	22	)	)	PUNCT
amfbr-346	105	23	suggest	suggest	VERB
amfbr-346	105	24	the	the	DET
amfbr-346	105	25	following	follow	VERB
amfbr-346	105	26	functional	functional	ADJ
amfbr-346	105	27	form	form	NOUN
amfbr-346	105	28	:	:	PUNCT
amfbr-346	105	29	y	y	PROPN
amfbr-346	105	30	=	=	NOUN
amfbr-346	105	31	xbax-1	xbax-1	PROPN
amfbr-346	105	32	b≥	b≥	PROPN
amfbr-346	105	33	1	1	NUM
amfbr-346	105	34	,	,	PUNCT
amfbr-346	105	35	a≥	a≥	PROPN
amfbr-346	105	36	1	1	NUM
amfbr-346	105	37	(	(	PUNCT
amfbr-346	105	38	33	33	NUM
amfbr-346	105	39	)	)	PUNCT
amfbr-346	105	40	to	to	PART
amfbr-346	105	41	estimate	estimate	VERB
amfbr-346	105	42	the	the	DET
amfbr-346	105	43	above	above	ADJ
amfbr-346	105	44	functions	function	NOUN
amfbr-346	105	45	by	by	ADP
amfbr-346	105	46	regular	regular	ADJ
amfbr-346	105	47	estimating	estimating	NOUN
amfbr-346	105	48	method	method	NOUN
amfbr-346	105	49	,	,	PUNCT
amfbr-346	105	50	we	we	PRON
amfbr-346	105	51	should	should	AUX
amfbr-346	105	52	gather	gather	VERB
amfbr-346	105	53	discrete	discrete	ADJ
amfbr-346	105	54	data	datum	NOUN
amfbr-346	105	55	from	from	ADP
amfbr-346	105	56	the	the	DET
amfbr-346	105	57	statistical	statistical	ADJ
amfbr-346	105	58	population	population	NOUN
amfbr-346	105	59	,	,	PUNCT
amfbr-346	105	60	and	and	CCONJ
amfbr-346	105	61	manipulate	manipulate	VERB
amfbr-346	105	62	them	they	PRON
amfbr-346	105	63	to	to	PART
amfbr-346	105	64	construct	construct	VERB
amfbr-346	105	65	relevant	relevant	ADJ
amfbr-346	105	66	x	x	NOUN
amfbr-346	105	67	and	and	CCONJ
amfbr-346	105	68	y	y	PROPN
amfbr-346	105	69	vectors	vector	NOUN
amfbr-346	105	70	to	to	PART
amfbr-346	105	71	estimate	estimate	VERB
amfbr-346	105	72	"	"	PUNCT
amfbr-346	105	73	a	a	PRON
amfbr-346	105	74	"	"	PUNCT
amfbr-346	105	75	of	of	ADP
amfbr-346	105	76	(	(	PUNCT
amfbr-346	105	77	32	32	NUM
amfbr-346	105	78	)	)	PUNCT
amfbr-346	105	79	or	or	CCONJ
amfbr-346	105	80	"	"	PUNCT
amfbr-346	105	81	a	a	PRON
amfbr-346	105	82	"	"	PUNCT
amfbr-346	105	83	and	and	CCONJ
amfbr-346	105	84	"	"	PUNCT
amfbr-346	105	85	b	b	NOUN
amfbr-346	105	86	"	"	PUNCT
amfbr-346	105	87	of	of	ADP
amfbr-346	105	88	(	(	PUNCT
amfbr-346	105	89	33	33	NUM
amfbr-346	105	90	)	)	PUNCT
amfbr-346	105	91	.	.	PUNCT
amfbr-346	106	1	if	if	SCONJ
amfbr-346	106	2	the	the	DET
amfbr-346	106	3	probability	probability	NOUN
amfbr-346	106	4	distribution	distribution	NOUN
amfbr-346	106	5	of	of	ADP
amfbr-346	106	6	income	income	NOUN
amfbr-346	106	7	is	be	AUX
amfbr-346	106	8	known	know	VERB
amfbr-346	106	9	,	,	PUNCT
amfbr-346	106	10	instead	instead	ADV
amfbr-346	106	11	of	of	ADP
amfbr-346	106	12	gathering	gather	VERB
amfbr-346	106	13	discrete	discrete	ADJ
amfbr-346	106	14	observations	observation	NOUN
amfbr-346	106	15	,	,	PUNCT
amfbr-346	106	16	we	we	PRON
amfbr-346	106	17	can	can	AUX
amfbr-346	106	18	estimate	estimate	VERB
amfbr-346	106	19	the	the	DET
amfbr-346	106	20	lorenz	lorenz	PROPN
amfbr-346	106	21	curve	curve	NOUN
amfbr-346	106	22	by	by	ADP
amfbr-346	106	23	using	use	VERB
amfbr-346	106	24	the	the	DET
amfbr-346	106	25	continuous	continuous	ADJ
amfbr-346	106	26	l1	l1	PROPN
amfbr-346	106	27	norm	norm	NOUN
amfbr-346	106	28	smoothing	smooth	VERB
amfbr-346	106	29	method	method	NOUN
amfbr-346	106	30	for	for	ADP
amfbr-346	106	31	continuous	continuous	ADJ
amfbr-346	106	32	functions	function	NOUN
amfbr-346	106	33	.	.	PUNCT
amfbr-346	107	1	in	in	ADP
amfbr-346	107	2	the	the	DET
amfbr-346	107	3	following	following	ADJ
amfbr-346	107	4	section	section	NOUN
amfbr-346	107	5	,	,	PUNCT
amfbr-346	107	6	we	we	PRON
amfbr-346	107	7	proceed	proceed	VERB
amfbr-346	107	8	to	to	PART
amfbr-346	107	9	apply	apply	VERB
amfbr-346	107	10	this	this	DET
amfbr-346	107	11	method	method	NOUN
amfbr-346	107	12	to	to	PART
amfbr-346	107	13	estimate	estimate	VERB
amfbr-346	107	14	the	the	DET
amfbr-346	107	15	parameters	parameter	NOUN
amfbr-346	107	16	"	"	PUNCT
amfbr-346	107	17	a	a	PRON
amfbr-346	107	18	"	"	PUNCT
amfbr-346	107	19	of	of	ADP
amfbr-346	107	20	(	(	PUNCT
amfbr-346	107	21	32	32	NUM
amfbr-346	107	22	)	)	PUNCT
amfbr-346	107	23	and	and	CCONJ
amfbr-346	107	24	"	"	PUNCT
amfbr-346	107	25	a	a	PRON
amfbr-346	107	26	"	"	PUNCT
amfbr-346	107	27	and	and	CCONJ
amfbr-346	107	28	"	"	PUNCT
amfbr-346	107	29	b	b	NOUN
amfbr-346	107	30	"	"	PUNCT
amfbr-346	107	31	of	of	ADP
amfbr-346	107	32	(	(	PUNCT
amfbr-346	107	33	33	33	NUM
amfbr-346	107	34	)	)	PUNCT
amfbr-346	107	35	by	by	ADP
amfbr-346	107	36	using	use	VERB
amfbr-346	107	37	the	the	DET
amfbr-346	107	38	information	information	NOUN
amfbr-346	107	39	of	of	ADP
amfbr-346	107	40	probability	probability	NOUN
amfbr-346	107	41	density	density	NOUN
amfbr-346	107	42	function	function	NOUN
amfbr-346	107	43	of	of	ADP
amfbr-346	107	44	income	income	NOUN
amfbr-346	107	45	.	.	PUNCT
amfbr-346	108	1	6	6	NUM
amfbr-346	108	2	.	.	X
amfbr-346	108	3	continuous	continuous	ADJ
amfbr-346	108	4	l1	l1	PROPN
amfbr-346	108	5	norm	norm	NOUN
amfbr-346	108	6	smoothing	smoothing	NOUN
amfbr-346	108	7	of	of	ADP
amfbr-346	108	8	lorenz	lorenz	PROPN
amfbr-346	108	9	curve	curve	VERB
amfbr-346	108	10	to	to	PART
amfbr-346	108	11	estimate	estimate	VERB
amfbr-346	108	12	the	the	DET
amfbr-346	108	13	lorenz	lorenz	PROPN
amfbr-346	108	14	curve	curve	PROPN
amfbr-346	108	15	parameters	parameter	NOUN
amfbr-346	108	16	when	when	SCONJ
amfbr-346	108	17	income	income	NOUN
amfbr-346	108	18	probability	probability	NOUN
amfbr-346	108	19	density	density	NOUN
amfbr-346	108	20	function	function	NOUN
amfbr-346	108	21	is	be	AUX
amfbr-346	108	22	known	know	VERB
amfbr-346	108	23	,	,	PUNCT
amfbr-346	108	24	we	we	PRON
amfbr-346	108	25	can	can	AUX
amfbr-346	108	26	not	not	PART
amfbr-346	108	27	always	always	ADV
amfbr-346	108	28	take	take	VERB
amfbr-346	108	29	straightforward	straightforward	ADJ
amfbr-346	108	30	steps	step	NOUN
amfbr-346	108	31	.	.	PUNCT
amfbr-346	109	1	when	when	SCONJ
amfbr-346	109	2	the	the	DET
amfbr-346	109	3	probability	probability	NOUN
amfbr-346	109	4	density	density	NOUN
amfbr-346	109	5	function	function	NOUN
amfbr-346	109	6	is	be	AUX
amfbr-346	109	7	easily	easily	ADV
amfbr-346	109	8	integrable	integrable	ADJ
amfbr-346	109	9	,	,	PUNCT
amfbr-346	109	10	there	there	PRON
amfbr-346	109	11	is	be	VERB
amfbr-346	109	12	no	no	DET
amfbr-346	109	13	major	major	ADJ
amfbr-346	109	14	problem	problem	NOUN
amfbr-346	109	15	in	in	ADP
amfbr-346	109	16	advance	advance	NOUN
amfbr-346	109	17	.	.	PUNCT
amfbr-346	110	1	we	we	PRON
amfbr-346	110	2	can	can	AUX
amfbr-346	110	3	find	find	VERB
amfbr-346	110	4	the	the	DET
amfbr-346	110	5	functional	functional	ADJ
amfbr-346	110	6	relationship	relationship	NOUN
amfbr-346	110	7	between	between	ADP
amfbr-346	110	8	the	the	DET
amfbr-346	110	9	two	two	NUM
amfbr-346	110	10	elements	element	NOUN
amfbr-346	110	11	of	of	ADP
amfbr-346	110	12	(	(	PUNCT
amfbr-346	110	13	31	31	NUM
amfbr-346	110	14	)	)	PUNCT
amfbr-346	110	15	by	by	ADP
amfbr-346	110	16	simple	simple	ADJ
amfbr-346	110	17	mathematical	mathematical	ADJ
amfbr-346	110	18	derivation	derivation	NOUN
amfbr-346	110	19	.	.	PUNCT
amfbr-346	111	1	but	but	CCONJ
amfbr-346	111	2	,	,	PUNCT
amfbr-346	111	3	when	when	SCONJ
amfbr-346	111	4	integrals	integral	NOUN
amfbr-346	111	5	of	of	ADP
amfbr-346	111	6	(	(	PUNCT
amfbr-346	111	7	31	31	NUM
amfbr-346	111	8	)	)	PUNCT
amfbr-346	111	9	are	be	AUX
amfbr-346	111	10	not	not	PART
amfbr-346	111	11	obtainable	obtainable	ADJ
amfbr-346	111	12	,	,	PUNCT
amfbr-346	111	13	another	another	DET
amfbr-346	111	14	procedure	procedure	NOUN
amfbr-346	111	15	should	should	AUX
amfbr-346	111	16	be	be	AUX
amfbr-346	111	17	adopted	adopt	VERB
amfbr-346	111	18	.	.	PUNCT
amfbr-346	112	1	suppose	suppose	VERB
amfbr-346	112	2	that	that	SCONJ
amfbr-346	112	3	income	income	NOUN
amfbr-346	112	4	of	of	ADP
amfbr-346	112	5	a	a	DET
amfbr-346	112	6	society	society	NOUN
amfbr-346	112	7	is	be	AUX
amfbr-346	112	8	distributed	distribute	VERB
amfbr-346	112	9	with	with	ADP
amfbr-346	112	10	probability	probability	NOUN
amfbr-346	112	11	density	density	NOUN
amfbr-346	112	12	function	function	NOUN
amfbr-346	112	13	f(w	f(w	PROPN
amfbr-346	112	14	)	)	PUNCT
amfbr-346	112	15	.	.	PUNCT
amfbr-346	113	1	this	this	DET
amfbr-346	113	2	density	density	NOUN
amfbr-346	113	3	function	function	NOUN
amfbr-346	113	4	may	may	AUX
amfbr-346	113	5	be	be	AUX
amfbr-346	113	6	a	a	DET
amfbr-346	113	7	skewed	skewed	ADJ
amfbr-346	113	8	function	function	NOUN
amfbr-346	113	9	such	such	ADJ
amfbr-346	113	10	as	as	ADP
amfbr-346	113	11	pareto	pareto	ADJ
amfbr-346	113	12	or	or	CCONJ
amfbr-346	113	13	log	log	NOUN
amfbr-346	113	14	-	-	PUNCT
amfbr-346	113	15	normal	normal	ADJ
amfbr-346	113	16	,	,	PUNCT
amfbr-346	113	17	as	as	SCONJ
amfbr-346	113	18	follows	follow	VERB
amfbr-346	113	19	f(w)=θkθw	f(w)=θkθw	PROPN
amfbr-346	113	20	-	-	PUNCT
amfbr-346	113	21	θ-1	θ-1	NOUN
amfbr-346	113	22	,	,	PUNCT
amfbr-346	113	23	w	w	NOUN
amfbr-346	113	24	,	,	PUNCT
amfbr-346	113	25	k>0	k>0	ADJ
amfbr-346	113	26	,	,	PUNCT
amfbr-346	113	27	θ>0	θ>0	PROPN
amfbr-346	113	28	(	(	PUNCT
amfbr-346	113	29	34	34	NUM
amfbr-346	113	30	)	)	PUNCT
amfbr-346	113	31	f(w)=[1	f(w)=[1	NOUN
amfbr-346	113	32	/	/	SYM
amfbr-346	113	33	wσ√(2π)]exp{-[ln(w)-μ]2/2σ2	wσ√(2π)]exp{-[ln(w)-μ]2/2σ2	NOUN
amfbr-346	113	34	}	}	PUNCT
amfbr-346	113	35	,	,	PUNCT
amfbr-346	113	36	wε(0,∞	wε(0,∞	NOUN
amfbr-346	113	37	)	)	PUNCT
amfbr-346	113	38	,	,	PUNCT
amfbr-346	113	39	με(-∞,+∞	με(-∞,+∞	PROPN
amfbr-346	113	40	)	)	PUNCT
amfbr-346	113	41	,	,	PUNCT
amfbr-346	113	42	σ>0	σ>0	NOUN
amfbr-346	113	43	(	(	PUNCT
amfbr-346	113	44	35	35	NUM
amfbr-346	113	45	)	)	PUNCT
amfbr-346	113	46	these	these	DET
amfbr-346	113	47	two	two	NUM
amfbr-346	113	48	distributions	distribution	NOUN
amfbr-346	113	49	have	have	AUX
amfbr-346	113	50	been	be	AUX
amfbr-346	113	51	known	know	VERB
amfbr-346	113	52	as	as	ADP
amfbr-346	113	53	good	good	ADJ
amfbr-346	113	54	candidates	candidate	NOUN
amfbr-346	113	55	for	for	ADP
amfbr-346	113	56	presenting	present	VERB
amfbr-346	113	57	distribution	distribution	NOUN
amfbr-346	113	58	of	of	ADP
amfbr-346	113	59	personal	personal	ADJ
amfbr-346	113	60	income	income	NOUN
amfbr-346	113	61	.	.	PUNCT
amfbr-346	114	1	in	in	ADP
amfbr-346	114	2	the	the	DET
amfbr-346	114	3	case	case	NOUN
amfbr-346	114	4	of	of	ADP
amfbr-346	114	5	pareto	pareto	ADJ
amfbr-346	114	6	density	density	NOUN
amfbr-346	114	7	function	function	NOUN
amfbr-346	114	8	of	of	ADP
amfbr-346	114	9	(	(	PUNCT
amfbr-346	114	10	34	34	NUM
amfbr-346	114	11	)	)	PUNCT
amfbr-346	114	12	,	,	PUNCT
amfbr-346	114	13	we	we	PRON
amfbr-346	114	14	can	can	AUX
amfbr-346	114	15	simply	simply	ADV
amfbr-346	114	16	derive	derive	VERB
amfbr-346	114	17	the	the	DET
amfbr-346	114	18	lorenz	lorenz	PROPN
amfbr-346	114	19	curve	curve	NOUN
amfbr-346	114	20	function	function	NOUN
amfbr-346	114	21	as	as	SCONJ
amfbr-346	114	22	follows	follow	VERB
amfbr-346	114	23	.	.	PUNCT
amfbr-346	115	1	let	let	AUX
amfbr-346	115	2	f(w	f(w	NOUN
amfbr-346	115	3	)	)	PUNCT
amfbr-346	115	4	denote	denote	VERB
amfbr-346	115	5	the	the	DET
amfbr-346	115	6	pareto	pareto	ADJ
amfbr-346	115	7	distribution	distribution	NOUN
amfbr-346	115	8	function	function	NOUN
amfbr-346	115	9	:	:	PUNCT
amfbr-346	115	10	f(w)=1-(k	f(w)=1-(k	NUM
amfbr-346	115	11	/	/	SYM
amfbr-346	115	12	w)θ	w)θ	NOUN
amfbr-346	115	13	(	(	PUNCT
amfbr-346	115	14	36	36	NUM
amfbr-346	115	15	)	)	PUNCT
amfbr-346	115	16	with	with	ADP
amfbr-346	115	17	mean	mean	PROPN
amfbr-346	115	18	equal	equal	ADJ
amfbr-346	115	19	to	to	ADP
amfbr-346	115	20	,	,	PUNCT
amfbr-346	115	21	e(w)=	e(w)=	PROPN
amfbr-346	115	22	θk/(θ-1	θk/(θ-1	NOUN
amfbr-346	115	23	)	)	PUNCT
amfbr-346	115	24	,	,	PUNCT
amfbr-346	115	25	θ>1	θ>1	INTJ
amfbr-346	115	26	(	(	PUNCT
amfbr-346	115	27	37	37	NUM
amfbr-346	115	28	)	)	PUNCT
amfbr-346	115	29	if	if	SCONJ
amfbr-346	115	30	we	we	PRON
amfbr-346	115	31	find	find	VERB
amfbr-346	115	32	the	the	DET
amfbr-346	115	33	function	function	NOUN
amfbr-346	115	34	y	y	PROPN
amfbr-346	115	35	as	as	SCONJ
amfbr-346	115	36	stated	state	VERB
amfbr-346	115	37	by	by	ADP
amfbr-346	115	38	(	(	PUNCT
amfbr-346	115	39	31	31	NUM
amfbr-346	115	40	)	)	PUNCT
amfbr-346	115	41	as	as	ADP
amfbr-346	115	42	a	a	DET
amfbr-346	115	43	function	function	NOUN
amfbr-346	115	44	of	of	ADP
amfbr-346	115	45	x	x	PRON
amfbr-346	115	46	,	,	PUNCT
amfbr-346	115	47	the	the	DET
amfbr-346	115	48	lorenz	lorenz	PROPN
amfbr-346	115	49	function	function	NOUN
amfbr-346	115	50	will	will	AUX
amfbr-346	115	51	be	be	AUX
amfbr-346	115	52	derived	derive	VERB
amfbr-346	115	53	.	.	PUNCT
amfbr-346	116	1	now	now	ADV
amfbr-346	116	2	,	,	PUNCT
amfbr-346	116	3	proceed	proceed	VERB
amfbr-346	116	4	as	as	SCONJ
amfbr-346	116	5	follows	follow	VERB
amfbr-346	116	6	.	.	PUNCT
amfbr-346	117	1	rearrange	rearrange	VERB
amfbr-346	117	2	the	the	DET
amfbr-346	117	3	terms	term	NOUN
amfbr-346	117	4	of	of	ADP
amfbr-346	117	5	(	(	PUNCT
amfbr-346	117	6	31	31	NUM
amfbr-346	117	7	)	)	PUNCT
amfbr-346	117	8	as	as	ADP
amfbr-346	117	9	,	,	PUNCT
amfbr-346	117	10	⌠v	⌠v	ADJ
amfbr-346	117	11	x(v	x(v	PROPN
amfbr-346	117	12	)	)	PUNCT
amfbr-346	118	1	=	=	NOUN
amfbr-346	118	2	⌡-∞	⌡-∞	NOUN
amfbr-346	118	3	f(w)dw	f(w)dw	NOUN
amfbr-346	118	4	(	(	PUNCT
amfbr-346	118	5	38	38	NUM
amfbr-346	118	6	)	)	PUNCT
amfbr-346	118	7	⌠	⌠	NOUN
amfbr-346	118	8	tv	tv	NOUN
amfbr-346	118	9	y(x(v	y(x(v	NOUN
amfbr-346	118	10	)	)	PUNCT
amfbr-346	118	11	)	)	PUNCT
amfbr-346	119	1	=	=	PUNCT
amfbr-346	120	1	[	[	X
amfbr-346	120	2	1	1	NUM
amfbr-346	120	3	/	/	SYM
amfbr-346	120	4	e(x)]⌡-∞	e(x)]⌡-∞	PROPN
amfbr-346	120	5	wf(w)dw	wf(w)dw	PROPN
amfbr-346	120	6	(	(	PUNCT
amfbr-346	120	7	39	39	NUM
amfbr-346	120	8	)	)	PUNCT
amfbr-346	120	9	substitute	substitute	NOUN
amfbr-346	120	10	pareto	pareto	ADJ
amfbr-346	120	11	distribution	distribution	NOUN
amfbr-346	120	12	function	function	NOUN
amfbr-346	120	13	,	,	PUNCT
amfbr-346	120	14	x(v	x(v	NUM
amfbr-346	120	15	)	)	PUNCT
amfbr-346	120	16	=	=	SYM
amfbr-346	120	17	f(v	f(v	NOUN
amfbr-346	120	18	)	)	PUNCT
amfbr-346	120	19	=	=	SYM
amfbr-346	120	20	1-(k	1-(k	NUM
amfbr-346	120	21	/	/	SYM
amfbr-346	120	22	v)θ	v)θ	NOUN
amfbr-346	120	23	(	(	PUNCT
amfbr-346	120	24	40	40	NUM
amfbr-346	120	25	)	)	PUNCT
amfbr-346	120	26	⌠v	⌠v	NOUN
amfbr-346	120	27	y(x(v	y(x(v	NOUN
amfbr-346	120	28	)	)	PUNCT
amfbr-346	120	29	)	)	PUNCT
amfbr-346	121	1	=	=	PUNCT
amfbr-346	122	1	[	[	X
amfbr-346	122	2	(	(	PUNCT
amfbr-346	122	3	θ-1)/θk]⌡k	θ-1)/θk]⌡k	NUM
amfbr-346	122	4	wθkθw	wθkθw	PROPN
amfbr-346	122	5	-	-	PUNCT
amfbr-346	122	6	θ-1dw	θ-1dw	NOUN
amfbr-346	122	7	(	(	PUNCT
amfbr-346	122	8	41	41	NUM
amfbr-346	122	9	)	)	PUNCT
amfbr-346	122	10	or	or	CCONJ
amfbr-346	122	11	,	,	PUNCT
amfbr-346	122	12	y(x(v	y(x(v	NOUN
amfbr-346	122	13	)	)	PUNCT
amfbr-346	122	14	)	)	PUNCT
amfbr-346	123	1	=	=	SYM
amfbr-346	123	2	1-(k	1-(k	NUM
amfbr-346	123	3	/	/	SYM
amfbr-346	123	4	v)θ-1	v)θ-1	NOUN
amfbr-346	123	5	(	(	PUNCT
amfbr-346	123	6	42	42	NUM
amfbr-346	123	7	)	)	PUNCT
amfbr-346	123	8	now	now	ADV
amfbr-346	123	9	,	,	PUNCT
amfbr-346	123	10	by	by	ADP
amfbr-346	123	11	solving	solve	VERB
amfbr-346	123	12	(	(	PUNCT
amfbr-346	123	13	40	40	NUM
amfbr-346	123	14	)	)	PUNCT
amfbr-346	123	15	for	for	ADP
amfbr-346	123	16	"	"	PUNCT
amfbr-346	123	17	v	v	NOUN
amfbr-346	123	18	"	"	PUNCT
amfbr-346	123	19	and	and	CCONJ
amfbr-346	123	20	substituting	substitute	VERB
amfbr-346	123	21	in	in	ADP
amfbr-346	123	22	(	(	PUNCT
amfbr-346	123	23	42	42	NUM
amfbr-346	123	24	)	)	PUNCT
amfbr-346	123	25	,	,	PUNCT
amfbr-346	123	26	the	the	DET
amfbr-346	123	27	lorenz	lorenz	PROPN
amfbr-346	123	28	curve	curve	NOUN
amfbr-346	123	29	for	for	ADP
amfbr-346	123	30	pareto	pareto	ADJ
amfbr-346	123	31	distribution	distribution	NOUN
amfbr-346	123	32	is	be	AUX
amfbr-346	123	33	derived	derive	VERB
amfbr-346	123	34	as	as	ADP
amfbr-346	123	35	,	,	PUNCT
amfbr-346	123	36	y	y	PROPN
amfbr-346	123	37	=	=	SYM
amfbr-346	123	38	1-(1	1-(1	PROPN
amfbr-346	123	39	-	-	PUNCT
amfbr-346	123	40	x)(θ-1)/θ	x)(θ-1)/θ	PROPN
amfbr-346	123	41	(	(	PUNCT
amfbr-346	123	42	43	43	NUM
amfbr-346	123	43	)	)	PUNCT
amfbr-346	123	44	copyright	copyright	NOUN
amfbr-346	124	1	©	©	PROPN
amfbr-346	124	2	cc	cc	PROPN
amfbr-346	124	3	-	-	PUNCT
amfbr-346	124	4	by	by	ADP
amfbr-346	124	5	-	-	PUNCT
amfbr-346	124	6	nc	nc	PROPN
amfbr-346	124	7	2019	2019	NUM
amfbr-346	124	8	,	,	PUNCT
amfbr-346	124	9	cribfb	cribfb	PROPN
amfbr-346	124	10	|	|	ADV
amfbr-346	124	11	amfbr	amfbr	ADJ
amfbr-346	124	12	www.cribfb.com/journal/index.php/amfbr	www.cribfb.com/journal/index.php/amfbr	PROPN
amfbr-346	124	13	american	american	PROPN
amfbr-346	124	14	finance	finance	PROPN
amfbr-346	124	15	&	&	CCONJ
amfbr-346	124	16	banking	banking	PROPN
amfbr-346	124	17	review	review	PROPN
amfbr-346	124	18	vol	vol	NOUN
amfbr-346	124	19	.	.	PROPN
amfbr-346	125	1	4	4	NUM
amfbr-346	125	2	,	,	PUNCT
amfbr-346	125	3	no	no	INTJ
amfbr-346	125	4	.	.	NOUN
amfbr-346	125	5	2	2	NUM
amfbr-346	125	6	;	;	PUNCT
amfbr-346	125	7	2019	2019	NUM
amfbr-346	125	8	15	15	NUM
amfbr-346	125	9	as	as	SCONJ
amfbr-346	125	10	it	it	PRON
amfbr-346	125	11	was	be	AUX
amfbr-346	125	12	shown	show	VERB
amfbr-346	125	13	in	in	ADP
amfbr-346	125	14	the	the	DET
amfbr-346	125	15	case	case	NOUN
amfbr-346	125	16	of	of	ADP
amfbr-346	125	17	pareto	pareto	ADJ
amfbr-346	125	18	distribution	distribution	NOUN
amfbr-346	125	19	,	,	PUNCT
amfbr-346	125	20	formula	formula	NOUN
amfbr-346	125	21	of	of	ADP
amfbr-346	125	22	lorenz	lorenz	PROPN
amfbr-346	125	23	curve	curve	NOUN
amfbr-346	125	24	is	be	AUX
amfbr-346	125	25	easily	easily	ADV
amfbr-346	125	26	obtained	obtain	VERB
amfbr-346	125	27	.	.	PUNCT
amfbr-346	126	1	but	but	CCONJ
amfbr-346	126	2	,	,	PUNCT
amfbr-346	126	3	if	if	SCONJ
amfbr-346	126	4	we	we	PRON
amfbr-346	126	5	select	select	VERB
amfbr-346	126	6	the	the	DET
amfbr-346	126	7	log	log	NOUN
amfbr-346	126	8	-	-	PUNCT
amfbr-346	126	9	normal	normal	ADJ
amfbr-346	126	10	density	density	NOUN
amfbr-346	126	11	function	function	NOUN
amfbr-346	126	12	(	(	PUNCT
amfbr-346	126	13	35	35	NUM
amfbr-346	126	14	)	)	PUNCT
amfbr-346	126	15	,	,	PUNCT
amfbr-346	126	16	the	the	DET
amfbr-346	126	17	procedure	procedure	NOUN
amfbr-346	126	18	may	may	AUX
amfbr-346	126	19	not	not	PART
amfbr-346	126	20	be	be	AUX
amfbr-346	126	21	the	the	DET
amfbr-346	126	22	same	same	ADJ
amfbr-346	126	23	.	.	PUNCT
amfbr-346	127	1	because	because	SCONJ
amfbr-346	127	2	the	the	DET
amfbr-346	127	3	integral	integral	NOUN
amfbr-346	127	4	of	of	ADP
amfbr-346	127	5	log	log	NOUN
amfbr-346	127	6	-	-	PUNCT
amfbr-346	127	7	normal	normal	ADJ
amfbr-346	127	8	function	function	NOUN
amfbr-346	127	9	has	have	AUX
amfbr-346	127	10	not	not	PART
amfbr-346	127	11	been	be	AUX
amfbr-346	127	12	derived	derive	VERB
amfbr-346	127	13	yet	yet	ADV
amfbr-346	127	14	.	.	PUNCT
amfbr-346	128	1	in	in	ADP
amfbr-346	128	2	the	the	DET
amfbr-346	128	3	following	following	ADJ
amfbr-346	128	4	pages	page	NOUN
amfbr-346	128	5	,	,	PUNCT
amfbr-346	128	6	the	the	DET
amfbr-346	128	7	l1	l1	PROPN
amfbr-346	128	8	norm	norm	NOUN
amfbr-346	128	9	smoothing	smoothing	NOUN
amfbr-346	128	10	technique	technique	NOUN
amfbr-346	128	11	will	will	AUX
amfbr-346	128	12	be	be	AUX
amfbr-346	128	13	developed	develop	VERB
amfbr-346	128	14	to	to	PART
amfbr-346	128	15	estimate	estimate	VERB
amfbr-346	128	16	the	the	DET
amfbr-346	128	17	parameters	parameter	NOUN
amfbr-346	128	18	of	of	ADP
amfbr-346	128	19	given	give	VERB
amfbr-346	128	20	functional	functional	ADJ
amfbr-346	128	21	forms	form	NOUN
amfbr-346	128	22	(	(	PUNCT
amfbr-346	128	23	32	32	NUM
amfbr-346	128	24	)	)	PUNCT
amfbr-346	128	25	and	and	CCONJ
amfbr-346	128	26	(	(	PUNCT
amfbr-346	128	27	33	33	NUM
amfbr-346	128	28	)	)	PUNCT
amfbr-346	128	29	by	by	ADP
amfbr-346	128	30	using	use	VERB
amfbr-346	128	31	the	the	DET
amfbr-346	128	32	continuous	continuous	ADJ
amfbr-346	128	33	probability	probability	NOUN
amfbr-346	128	34	density	density	NOUN
amfbr-346	128	35	function	function	NOUN
amfbr-346	128	36	.	.	PUNCT
amfbr-346	129	1	according	accord	VERB
amfbr-346	129	2	to	to	ADP
amfbr-346	129	3	(	(	PUNCT
amfbr-346	129	4	30	30	NUM
amfbr-346	129	5	)	)	PUNCT
amfbr-346	129	6	and	and	CCONJ
amfbr-346	129	7	(	(	PUNCT
amfbr-346	129	8	31	31	NUM
amfbr-346	129	9	)	)	PUNCT
amfbr-346	129	10	independent	independent	ADJ
amfbr-346	129	11	and	and	CCONJ
amfbr-346	129	12	dependent	dependent	ADJ
amfbr-346	129	13	variables	variable	NOUN
amfbr-346	129	14	of	of	ADP
amfbr-346	129	15	(	(	PUNCT
amfbr-346	129	16	32	32	NUM
amfbr-346	129	17	)	)	PUNCT
amfbr-346	129	18	and	and	CCONJ
amfbr-346	129	19	(	(	PUNCT
amfbr-346	129	20	33	33	NUM
amfbr-346	129	21	)	)	PUNCT
amfbr-346	129	22	may	may	AUX
amfbr-346	129	23	be	be	AUX
amfbr-346	129	24	written	write	VERB
amfbr-346	129	25	as	as	ADP
amfbr-346	129	26	,	,	PUNCT
amfbr-346	129	27	⌠v	⌠v	ADJ
amfbr-346	129	28	x(v	x(v	PROPN
amfbr-346	129	29	)	)	PUNCT
amfbr-346	130	1	=	=	PUNCT
amfbr-346	131	1	⌡0	⌡0	PRON
amfbr-346	131	2	f(w)dw	f(w)dw	NUM
amfbr-346	131	3	(	(	PUNCT
amfbr-346	131	4	44	44	NUM
amfbr-346	131	5	)	)	PUNCT
amfbr-346	131	6	⌠v	⌠v	PROPN
amfbr-346	131	7	y(x(v	y(x(v	NOUN
amfbr-346	131	8	)	)	PUNCT
amfbr-346	131	9	)	)	PUNCT
amfbr-346	132	1	=	=	PUNCT
amfbr-346	133	1	[	[	X
amfbr-346	133	2	1	1	NUM
amfbr-346	133	3	/	/	SYM
amfbr-346	133	4	e(x	e(x	NUM
amfbr-346	133	5	)	)	PUNCT
amfbr-346	133	6	]	]	PUNCT
amfbr-346	134	1	⌡0	⌡0	PRON
amfbr-346	134	2	wf(w)dw	wf(w)dw	PROPN
amfbr-346	134	3	(	(	PUNCT
amfbr-346	134	4	45	45	NUM
amfbr-346	134	5	)	)	PUNCT
amfbr-346	134	6	substitute	substitute	NOUN
amfbr-346	134	7	(	(	PUNCT
amfbr-346	134	8	44	44	NUM
amfbr-346	134	9	)	)	PUNCT
amfbr-346	134	10	and	and	CCONJ
amfbr-346	134	11	(	(	PUNCT
amfbr-346	134	12	45	45	NUM
amfbr-346	134	13	)	)	PUNCT
amfbr-346	134	14	inside	inside	ADV
amfbr-346	134	15	(	(	PUNCT
amfbr-346	134	16	32	32	NUM
amfbr-346	134	17	)	)	PUNCT
amfbr-346	134	18	and	and	CCONJ
amfbr-346	134	19	define	define	VERB
amfbr-346	134	20	random	random	ADJ
amfbr-346	134	21	error	error	NOUN
amfbr-346	134	22	term	term	NOUN
amfbr-346	134	23	u	u	NOUN
amfbr-346	134	24	as	as	ADP
amfbr-346	134	25	,	,	PUNCT
amfbr-346	134	26	⌠v	⌠v	ADJ
amfbr-346	134	27	⌠v	⌠v	ADJ
amfbr-346	134	28	⌠v	⌠v	NOUN
amfbr-346	135	1	⌡0	⌡0	X
amfbr-346	135	2	f(w)dw-1	f(w)dw-1	PROPN
amfbr-346	135	3	[	[	X
amfbr-346	135	4	1	1	NUM
amfbr-346	135	5	/	/	SYM
amfbr-346	135	6	e(w)]⌡0	e(w)]⌡0	NOUN
amfbr-346	135	7	wf(w)dw	wf(w)dw	NOUN
amfbr-346	136	1	=	=	NOUN
amfbr-346	136	2	⌡0	⌡0	PRON
amfbr-346	136	3	f(w)dw.a	f(w)dw.a	ADJ
amfbr-346	136	4	.	.	PUNCT
amfbr-346	137	1	eu	eu	PROPN
amfbr-346	137	2	(	(	PUNCT
amfbr-346	137	3	46	46	NUM
amfbr-346	137	4	)	)	PUNCT
amfbr-346	137	5	or	or	CCONJ
amfbr-346	137	6	briefly	briefly	ADV
amfbr-346	137	7	,	,	PUNCT
amfbr-346	137	8	y(x)=xax-1eu	y(x)=xax-1eu	INTJ
amfbr-346	137	9	(	(	PUNCT
amfbr-346	137	10	47	47	NUM
amfbr-346	137	11	)	)	PUNCT
amfbr-346	137	12	similarly	similarly	ADV
amfbr-346	137	13	for	for	ADP
amfbr-346	137	14	the	the	DET
amfbr-346	137	15	model	model	NOUN
amfbr-346	137	16	(	(	PUNCT
amfbr-346	137	17	35	35	NUM
amfbr-346	137	18	)	)	PUNCT
amfbr-346	137	19	,	,	PUNCT
amfbr-346	137	20	⌠v	⌠v	PROPN
amfbr-346	137	21	⌠v	⌠v	PROPN
amfbr-346	137	22	⌠v	⌠v	PROPN
amfbr-346	137	23	b	b	NOUN
amfbr-346	138	1	⌡0	⌡0	ADV
amfbr-346	138	2	f(w)dw-1	f(w)dw-1	PROPN
amfbr-346	138	3	[	[	PUNCT
amfbr-346	138	4	1	1	NUM
amfbr-346	138	5	/	/	SYM
amfbr-346	138	6	e(w)]⌡0	e(w)]⌡0	NOUN
amfbr-346	138	7	wf(w)dw={⌡0	wf(w)dw={⌡0	ADP
amfbr-346	138	8	f(w)dw	f(w)dw	PROPN
amfbr-346	138	9	}	}	PUNCT
amfbr-346	138	10	.	.	PUNCT
amfbr-346	139	1	a	a	PRON
amfbr-346	139	2	.	.	PUNCT
amfbr-346	140	1	eu	eu	PROPN
amfbr-346	140	2	(	(	PUNCT
amfbr-346	140	3	48	48	NUM
amfbr-346	140	4	)	)	PUNCT
amfbr-346	140	5	or	or	CCONJ
amfbr-346	140	6	briefly	briefly	ADV
amfbr-346	140	7	,	,	PUNCT
amfbr-346	140	8	y(x)=xbax-1eu	y(x)=xbax-1eu	PROPN
amfbr-346	140	9	(	(	PUNCT
amfbr-346	140	10	49	49	NUM
amfbr-346	140	11	)	)	PUNCT
amfbr-346	140	12	taking	take	VERB
amfbr-346	140	13	natural	natural	ADJ
amfbr-346	140	14	logarithm	logarithm	NOUN
amfbr-346	140	15	of	of	ADP
amfbr-346	140	16	(	(	PUNCT
amfbr-346	140	17	47	47	NUM
amfbr-346	140	18	)	)	PUNCT
amfbr-346	140	19	and	and	CCONJ
amfbr-346	140	20	(	(	PUNCT
amfbr-346	140	21	49	49	NUM
amfbr-346	140	22	)	)	PUNCT
amfbr-346	140	23	,	,	PUNCT
amfbr-346	140	24	gives	give	VERB
amfbr-346	140	25	,	,	PUNCT
amfbr-346	140	26	ln	ln	ADJ
amfbr-346	140	27	y(x)=ln	y(x)=ln	NOUN
amfbr-346	140	28	x	x	PUNCT
amfbr-346	141	1	+	+	PUNCT
amfbr-346	141	2	(	(	PUNCT
amfbr-346	141	3	x-1)ln	x-1)ln	NOUN
amfbr-346	141	4	a	a	PRON
amfbr-346	141	5	+	+	X
amfbr-346	141	6	u	u	NOUN
amfbr-346	141	7	(	(	PUNCT
amfbr-346	141	8	50	50	NUM
amfbr-346	141	9	)	)	PUNCT
amfbr-346	141	10	ln	ln	ADJ
amfbr-346	141	11	y(x)=b.ln	y(x)=b.ln	NOUN
amfbr-346	141	12	x	x	PUNCT
amfbr-346	142	1	+	+	PUNCT
amfbr-346	142	2	(	(	PUNCT
amfbr-346	142	3	x-1)ln	x-1)ln	NOUN
amfbr-346	142	4	a	a	PRON
amfbr-346	142	5	+	+	X
amfbr-346	142	6	u	u	NOUN
amfbr-346	142	7	(	(	PUNCT
amfbr-346	142	8	51	51	NUM
amfbr-346	142	9	)	)	PUNCT
amfbr-346	142	10	with	with	ADP
amfbr-346	142	11	respect	respect	NOUN
amfbr-346	142	12	to	to	ADP
amfbr-346	142	13	properties	property	NOUN
amfbr-346	142	14	of	of	ADP
amfbr-346	142	15	lorenz	lorenz	PROPN
amfbr-346	142	16	curve	curve	NOUN
amfbr-346	142	17	and	and	CCONJ
amfbr-346	142	18	probability	probability	NOUN
amfbr-346	142	19	density	density	NOUN
amfbr-346	142	20	function	function	NOUN
amfbr-346	142	21	of	of	ADP
amfbr-346	142	22	f(w	f(w	PROPN
amfbr-346	142	23	)	)	PUNCT
amfbr-346	142	24	and	and	CCONJ
amfbr-346	142	25	equations	equation	NOUN
amfbr-346	142	26	(	(	PUNCT
amfbr-346	142	27	46	46	NUM
amfbr-346	142	28	)	)	PUNCT
amfbr-346	142	29	to	to	ADP
amfbr-346	142	30	(	(	PUNCT
amfbr-346	142	31	49	49	NUM
amfbr-346	142	32	)	)	PUNCT
amfbr-346	142	33	,	,	PUNCT
amfbr-346	142	34	it	it	PRON
amfbr-346	142	35	is	be	AUX
amfbr-346	142	36	obvious	obvious	ADJ
amfbr-346	142	37	that	that	SCONJ
amfbr-346	142	38	x	x	PUNCT
amfbr-346	142	39	belongs	belong	VERB
amfbr-346	142	40	to	to	ADP
amfbr-346	142	41	the	the	DET
amfbr-346	142	42	interval	interval	NOUN
amfbr-346	142	43	[	[	X
amfbr-346	142	44	0,1	0,1	NUM
amfbr-346	142	45	]	]	PUNCT
amfbr-346	142	46	.	.	PUNCT
amfbr-346	143	1	thus	thus	ADV
amfbr-346	143	2	the	the	DET
amfbr-346	143	3	l1	l1	PROPN
amfbr-346	143	4	norm	norm	VERB
amfbr-346	143	5	objective	objective	ADJ
amfbr-346	143	6	function	function	NOUN
amfbr-346	143	7	for	for	ADP
amfbr-346	143	8	minimizing	minimize	VERB
amfbr-346	143	9	(	(	PUNCT
amfbr-346	143	10	50	50	NUM
amfbr-346	143	11	)	)	PUNCT
amfbr-346	143	12	or	or	CCONJ
amfbr-346	143	13	(	(	PUNCT
amfbr-346	143	14	51	51	NUM
amfbr-346	143	15	)	)	PUNCT
amfbr-346	143	16	is	be	AUX
amfbr-346	143	17	given	give	VERB
amfbr-346	143	18	by	by	ADP
amfbr-346	143	19	,	,	PUNCT
amfbr-346	143	20	⌠1	⌠1	PROPN
amfbr-346	143	21	min	min	PROPN
amfbr-346	143	22	:	:	PUNCT
amfbr-346	143	23	s	s	PART
amfbr-346	143	24	=	=	SYM
amfbr-346	143	25	⌡0	⌡0	NUM
amfbr-346	143	26	|u|dx	|u|dx	PROPN
amfbr-346	143	27	(	(	PUNCT
amfbr-346	143	28	52	52	NUM
amfbr-346	143	29	)	)	PUNCT
amfbr-346	143	30	now	now	ADV
amfbr-346	143	31	,	,	PUNCT
amfbr-346	143	32	let	let	VERB
amfbr-346	143	33	us	we	PRON
amfbr-346	143	34	deal	deal	VERB
amfbr-346	143	35	with	with	ADP
amfbr-346	143	36	l1	l1	PROPN
amfbr-346	143	37	norm	norm	NOUN
amfbr-346	143	38	estimation	estimation	NOUN
amfbr-346	143	39	of	of	ADP
amfbr-346	143	40	"	"	PUNCT
amfbr-346	143	41	a	a	PRON
amfbr-346	143	42	"	"	PUNCT
amfbr-346	143	43	of	of	ADP
amfbr-346	143	44	lorenz	lorenz	PROPN
amfbr-346	143	45	curve	curve	NOUN
amfbr-346	143	46	functional	functional	ADJ
amfbr-346	143	47	form	form	NOUN
amfbr-346	143	48	(	(	PUNCT
amfbr-346	143	49	32	32	NUM
amfbr-346	143	50	)	)	PUNCT
amfbr-346	143	51	(	(	PUNCT
amfbr-346	143	52	redefined	redefine	VERB
amfbr-346	143	53	by	by	ADP
amfbr-346	143	54	(	(	PUNCT
amfbr-346	143	55	50	50	NUM
amfbr-346	143	56	)	)	PUNCT
amfbr-346	143	57	)	)	PUNCT
amfbr-346	143	58	.	.	PUNCT
amfbr-346	144	1	the	the	DET
amfbr-346	144	2	corresponding	correspond	VERB
amfbr-346	144	3	l1	l1	PROPN
amfbr-346	144	4	norm	norm	NOUN
amfbr-346	144	5	objective	objective	ADJ
amfbr-346	144	6	function	function	NOUN
amfbr-346	144	7	will	will	AUX
amfbr-346	144	8	be	be	AUX
amfbr-346	144	9	,	,	PUNCT
amfbr-346	144	10	⌠1	⌠1	PROPN
amfbr-346	144	11	min	min	PROPN
amfbr-346	144	12	:	:	PUNCT
amfbr-346	144	13	s	s	PART
amfbr-346	144	14	=	=	X
amfbr-346	144	15	⌡0	⌡0	PRON
amfbr-346	144	16	|ln	|ln	PUNCT
amfbr-346	144	17	y(x	y(x	PROPN
amfbr-346	144	18	)	)	PUNCT
amfbr-346	144	19	ln	ln	NOUN
amfbr-346	144	20	x	x	X
amfbr-346	144	21	(	(	PUNCT
amfbr-346	144	22	x-1	x-1	NOUN
amfbr-346	144	23	)	)	PUNCT
amfbr-346	144	24	ln	ln	ADJ
amfbr-346	144	25	a|dx	a|dx	X
amfbr-346	144	26	(	(	PUNCT
amfbr-346	144	27	53	53	NUM
amfbr-346	144	28	)	)	PUNCT
amfbr-346	144	29	a	a	PRON
amfbr-346	144	30	or	or	CCONJ
amfbr-346	144	31	,	,	PUNCT
amfbr-346	144	32	⌠1	⌠1	PROPN
amfbr-346	144	33	min	min	PROPN
amfbr-346	144	34	:	:	PUNCT
amfbr-346	144	35	s	s	PART
amfbr-346	144	36	=	=	SYM
amfbr-346	144	37	⌡0	⌡0	PRON
amfbr-346	144	38	|x-1||[ln	|x-1||[ln	PROPN
amfbr-346	144	39	y(x)-ln	y(x)-ln	PROPN
amfbr-346	144	40	x]/(x-1	x]/(x-1	PROPN
amfbr-346	144	41	)	)	PUNCT
amfbr-346	144	42	ln	ln	ADJ
amfbr-346	144	43	a|dx	a|dx	X
amfbr-346	144	44	(	(	PUNCT
amfbr-346	144	45	54	54	NUM
amfbr-346	144	46	)	)	PUNCT
amfbr-346	144	47	a	a	PRON
amfbr-346	144	48	by	by	ADP
amfbr-346	144	49	a	a	DET
amfbr-346	144	50	similar	similar	ADJ
amfbr-346	144	51	technique	technique	NOUN
amfbr-346	144	52	used	use	VERB
amfbr-346	144	53	by	by	ADP
amfbr-346	144	54	(	(	PUNCT
amfbr-346	144	55	9	9	NUM
amfbr-346	144	56	)	)	PUNCT
amfbr-346	144	57	,	,	PUNCT
amfbr-346	144	58	we	we	PRON
amfbr-346	144	59	can	can	AUX
amfbr-346	144	60	rewrite	rewrite	VERB
amfbr-346	144	61	(	(	PUNCT
amfbr-346	144	62	54	54	NUM
amfbr-346	144	63	)	)	PUNCT
amfbr-346	144	64	as	as	ADP
amfbr-346	144	65	,	,	PUNCT
amfbr-346	144	66	⌠t	⌠t	ADJ
amfbr-346	144	67	⌠1	⌠1	PROPN
amfbr-346	144	68	min	min	PROPN
amfbr-346	144	69	:	:	PUNCT
amfbr-346	144	70	s	s	PART
amfbr-346	144	71	=	=	PUNCT
amfbr-346	144	72	⌡0	⌡0	PRON
amfbr-346	144	73	|x-1|{[ln	|x-1|{[ln	VERB
amfbr-346	144	74	y(x)-ln	y(x)-ln	NOUN
amfbr-346	144	75	x]/(x-1)-ln	x]/(x-1)-ln	PROPN
amfbr-346	144	76	a}dx	a}dx	PROPN
amfbr-346	144	77	⌡t	⌡t	ADJ
amfbr-346	144	78	|x-1|{[ln	|x-1|{[ln	NUM
amfbr-346	145	1	y(x)-ln	y(x)-ln	NOUN
amfbr-346	145	2	x]/(x-1)-ln	x]/(x-1)-ln	PROPN
amfbr-346	145	3	a}dx	a}dx	PROPN
amfbr-346	145	4	(	(	PUNCT
amfbr-346	145	5	55	55	NUM
amfbr-346	145	6	)	)	PUNCT
amfbr-346	145	7	a	a	DET
amfbr-346	145	8	since	since	NOUN
amfbr-346	145	9	,	,	PUNCT
amfbr-346	145	10	0≤	0≤	NUM
amfbr-346	145	11	x	x	SYM
amfbr-346	145	12	≤	≤	NUM
amfbr-346	145	13	1	1	NUM
amfbr-346	145	14	we	we	PRON
amfbr-346	145	15	have	have	VERB
amfbr-346	145	16	,	,	PUNCT
amfbr-346	145	17	⌠t	⌠t	VERB
amfbr-346	145	18	⌠1	⌠1	PROPN
amfbr-346	145	19	min	min	PROPN
amfbr-346	145	20	:	:	PUNCT
amfbr-346	145	21	s	s	PART
amfbr-346	145	22	=	=	X
amfbr-346	146	1	⌡0	⌡0	PRON
amfbr-346	146	2	[	[	X
amfbr-346	146	3	ln	ln	ADJ
amfbr-346	146	4	y(x	y(x	NOUN
amfbr-346	146	5	)	)	PUNCT
amfbr-346	146	6	ln	ln	NOUN
amfbr-346	146	7	x	x	X
amfbr-346	146	8	(	(	PUNCT
amfbr-346	146	9	x-1	x-1	NOUN
amfbr-346	146	10	)	)	PUNCT
amfbr-346	146	11	ln	ln	PROPN
amfbr-346	146	12	a]dx	a]dx	PROPN
amfbr-346	147	1	+	+	X
amfbr-346	147	2	⌡t	⌡t	ADJ
amfbr-346	147	3	[	[	X
amfbr-346	147	4	ln	ln	ADJ
amfbr-346	147	5	y(x	y(x	NOUN
amfbr-346	147	6	)	)	PUNCT
amfbr-346	147	7	ln	ln	NOUN
amfbr-346	147	8	x	x	X
amfbr-346	147	9	(	(	PUNCT
amfbr-346	147	10	x-1	x-1	NOUN
amfbr-346	147	11	)	)	PUNCT
amfbr-346	147	12	ln	ln	PROPN
amfbr-346	147	13	a]dx	a]dx	PROPN
amfbr-346	147	14	(	(	PUNCT
amfbr-346	147	15	56	56	NUM
amfbr-346	147	16	)	)	PUNCT
amfbr-346	147	17	a	a	DET
amfbr-346	147	18	differentiate	differentiate	NOUN
amfbr-346	147	19	(	(	PUNCT
amfbr-346	147	20	56	56	NUM
amfbr-346	147	21	)	)	PUNCT
amfbr-346	147	22	partially	partially	ADV
amfbr-346	147	23	with	with	ADP
amfbr-346	147	24	respect	respect	NOUN
amfbr-346	147	25	to	to	ADP
amfbr-346	147	26	"	"	PUNCT
amfbr-346	147	27	t	t	PROPN
amfbr-346	147	28	"	"	PUNCT
amfbr-346	147	29	and	and	CCONJ
amfbr-346	147	30	"	"	PUNCT
amfbr-346	147	31	a	a	PRON
amfbr-346	147	32	"	"	PUNCT
amfbr-346	147	33	and	and	CCONJ
amfbr-346	147	34	equate	equate	VERB
amfbr-346	147	35	them	they	PRON
amfbr-346	147	36	to	to	ADP
amfbr-346	147	37	zero	zero	NUM
amfbr-346	147	38	;	;	PUNCT
amfbr-346	147	39	δs	δs	NOUN
amfbr-346	147	40	⌠t	⌠t	VERB
amfbr-346	147	41	⌠1	⌠1	PROPN
amfbr-346	147	42	−−−−	−−−−	NOUN
amfbr-346	147	43	=	=	PUNCT
amfbr-346	148	1	+	+	CCONJ
amfbr-346	148	2	⌡0	⌡0	PRON
amfbr-346	148	3	[	[	X
amfbr-346	148	4	(	(	PUNCT
amfbr-346	148	5	x-1)/a]dx	x-1)/a]dx	PROPN
amfbr-346	148	6	ut	ut	PROPN
amfbr-346	149	1	[	[	X
amfbr-346	149	2	(	(	PUNCT
amfbr-346	149	3	x-1)/a]dx	x-1)/a]dx	PROPN
amfbr-346	149	4	=	=	SYM
amfbr-346	149	5	0	0	NUM
amfbr-346	149	6	(	(	PUNCT
amfbr-346	149	7	57	57	NUM
amfbr-346	149	8	)	)	PUNCT
amfbr-346	149	9	δa	δa	NOUN
amfbr-346	149	10	δs	δs	NOUN
amfbr-346	149	11	−−−−	−−−−	NOUN
amfbr-346	149	12	=	=	PUNCT
amfbr-346	149	13	2[ln	2[ln	NUM
amfbr-346	149	14	y(t	y(t	NOUN
amfbr-346	149	15	)	)	PUNCT
amfbr-346	149	16	ln	ln	PROPN
amfbr-346	149	17	t	t	PROPN
amfbr-346	149	18	(	(	PUNCT
amfbr-346	149	19	t-1)ln	t-1)ln	X
amfbr-346	149	20	a	a	X
amfbr-346	149	21	]	]	X
amfbr-346	149	22	=	=	SYM
amfbr-346	149	23	0	0	NUM
amfbr-346	149	24	(	(	PUNCT
amfbr-346	149	25	58	58	NUM
amfbr-346	149	26	)	)	PUNCT
amfbr-346	149	27	δt	δt	VERB
amfbr-346	149	28	copyright	copyright	NOUN
amfbr-346	150	1	©	©	PROPN
amfbr-346	150	2	cc	cc	PROPN
amfbr-346	150	3	-	-	PUNCT
amfbr-346	150	4	by	by	ADP
amfbr-346	150	5	-	-	PUNCT
amfbr-346	150	6	nc	nc	PROPN
amfbr-346	150	7	2019	2019	NUM
amfbr-346	150	8	,	,	PUNCT
amfbr-346	150	9	cribfb	cribfb	PROPN
amfbr-346	150	10	|	|	ADV
amfbr-346	150	11	amfbr	amfbr	ADJ
amfbr-346	150	12	www.cribfb.com/journal/index.php/amfbr	www.cribfb.com/journal/index.php/amfbr	PROPN
amfbr-346	150	13	american	american	PROPN
amfbr-346	150	14	finance	finance	PROPN
amfbr-346	150	15	&	&	CCONJ
amfbr-346	150	16	banking	banking	PROPN
amfbr-346	150	17	review	review	PROPN
amfbr-346	150	18	vol	vol	NOUN
amfbr-346	150	19	.	.	PROPN
amfbr-346	151	1	4	4	NUM
amfbr-346	151	2	,	,	PUNCT
amfbr-346	151	3	no	no	INTJ
amfbr-346	151	4	.	.	NOUN
amfbr-346	151	5	2	2	NUM
amfbr-346	151	6	;	;	PUNCT
amfbr-346	151	7	2019	2019	NUM
amfbr-346	151	8	16	16	NUM
amfbr-346	151	9	from	from	ADP
amfbr-346	151	10	equation	equation	NOUN
amfbr-346	151	11	(	(	PUNCT
amfbr-346	151	12	57	57	NUM
amfbr-346	151	13	)	)	PUNCT
amfbr-346	151	14	,	,	PUNCT
amfbr-346	151	15	we	we	PRON
amfbr-346	151	16	have	have	VERB
amfbr-346	151	17	,	,	PUNCT
amfbr-346	151	18	t	t	PROPN
amfbr-346	151	19	=	=	SYM
amfbr-346	151	20	1±√2/2	1±√2/2	PROPN
amfbr-346	151	21	(	(	PUNCT
amfbr-346	151	22	59	59	NUM
amfbr-346	151	23	)	)	PUNCT
amfbr-346	151	24	since	since	SCONJ
amfbr-346	151	25	"	"	PUNCT
amfbr-346	151	26	t	t	PROPN
amfbr-346	151	27	"	"	PUNCT
amfbr-346	151	28	should	should	AUX
amfbr-346	151	29	belong	belong	VERB
amfbr-346	151	30	to	to	ADP
amfbr-346	151	31	the	the	DET
amfbr-346	151	32	interval	interval	NOUN
amfbr-346	151	33	[	[	X
amfbr-346	151	34	0,1	0,1	NUM
amfbr-346	151	35	]	]	PUNCT
amfbr-346	151	36	,	,	PUNCT
amfbr-346	151	37	we	we	PRON
amfbr-346	151	38	accept	accept	VERB
amfbr-346	151	39	,	,	PUNCT
amfbr-346	151	40	t	t	PROPN
amfbr-346	151	41	=	=	SYM
amfbr-346	151	42	1-√2/2	1-√2/2	PROPN
amfbr-346	151	43	(	(	PUNCT
amfbr-346	151	44	60	60	NUM
amfbr-346	151	45	)	)	PUNCT
amfbr-346	151	46	substitute	substitute	NOUN
amfbr-346	151	47	(	(	PUNCT
amfbr-346	151	48	60	60	NUM
amfbr-346	151	49	)	)	PUNCT
amfbr-346	151	50	in	in	ADP
amfbr-346	151	51	(	(	PUNCT
amfbr-346	151	52	58	58	NUM
amfbr-346	151	53	)	)	PUNCT
amfbr-346	151	54	,	,	PUNCT
amfbr-346	151	55	and	and	CCONJ
amfbr-346	151	56	solve	solve	VERB
amfbr-346	151	57	for	for	ADP
amfbr-346	151	58	"	"	PUNCT
amfbr-346	151	59	a	a	PRON
amfbr-346	151	60	"	"	PUNCT
amfbr-346	151	61	,	,	PUNCT
amfbr-346	151	62	gives	give	VERB
amfbr-346	151	63	the	the	DET
amfbr-346	151	64	l1	l1	PROPN
amfbr-346	151	65	norm	norm	NOUN
amfbr-346	151	66	estimation	estimation	NOUN
amfbr-346	151	67	for	for	ADP
amfbr-346	151	68	"	"	PUNCT
amfbr-346	151	69	a	a	DET
amfbr-346	151	70	"	"	PUNCT
amfbr-346	151	71	equal	equal	ADJ
amfbr-346	151	72	to	to	ADP
amfbr-346	151	73	,	,	PUNCT
amfbr-346	151	74	1-√2/2	1-√2/2	NUM
amfbr-346	152	1	a	a	PRON
amfbr-346	152	2	=	=	X
amfbr-346	153	1	[	[	X
amfbr-346	153	2	−−−−−−−−]√2	−−−−−−−−]√2	X
amfbr-346	153	3	(	(	PUNCT
amfbr-346	153	4	61	61	NUM
amfbr-346	153	5	)	)	PUNCT
amfbr-346	153	6	y(1-√2/2	y(1-√2/2	PROPN
amfbr-346	153	7	)	)	PUNCT
amfbr-346	153	8	now	now	ADV
amfbr-346	153	9	,	,	PUNCT
amfbr-346	153	10	let	let	VERB
amfbr-346	153	11	us	we	PRON
amfbr-346	153	12	apply	apply	VERB
amfbr-346	153	13	this	this	DET
amfbr-346	153	14	procedure	procedure	NOUN
amfbr-346	153	15	to	to	ADP
amfbr-346	153	16	another	another	DET
amfbr-346	153	17	lorenz	lorenz	PROPN
amfbr-346	153	18	curve	curve	NOUN
amfbr-346	153	19	functional	functional	ADJ
amfbr-346	153	20	form	form	NOUN
amfbr-346	153	21	of	of	ADP
amfbr-346	153	22	(	(	PUNCT
amfbr-346	153	23	33	33	NUM
amfbr-346	153	24	)	)	PUNCT
amfbr-346	153	25	(	(	PUNCT
amfbr-346	153	26	redefined	redefine	VERB
amfbr-346	153	27	by	by	ADP
amfbr-346	153	28	(	(	PUNCT
amfbr-346	153	29	51	51	NUM
amfbr-346	153	30	)	)	PUNCT
amfbr-346	153	31	)	)	PUNCT
amfbr-346	153	32	.	.	PUNCT
amfbr-346	154	1	rewrite	rewrite	VERB
amfbr-346	154	2	l1	l1	PROPN
amfbr-346	154	3	norm	norm	PROPN
amfbr-346	154	4	objective	objective	ADJ
amfbr-346	154	5	function	function	NOUN
amfbr-346	154	6	(	(	PUNCT
amfbr-346	154	7	52	52	NUM
amfbr-346	154	8	)	)	PUNCT
amfbr-346	154	9	for	for	ADP
amfbr-346	154	10	the	the	DET
amfbr-346	154	11	model	model	NOUN
amfbr-346	154	12	(	(	PUNCT
amfbr-346	154	13	51	51	NUM
amfbr-346	154	14	)	)	PUNCT
amfbr-346	154	15	,	,	PUNCT
amfbr-346	154	16	⌠1	⌠1	PROPN
amfbr-346	154	17	min	min	PROPN
amfbr-346	154	18	:	:	PUNCT
amfbr-346	154	19	s	s	PART
amfbr-346	155	1	=	=	X
amfbr-346	155	2	⌡0	⌡0	PRON
amfbr-346	155	3	|ln	|ln	PUNCT
amfbr-346	155	4	y(x	y(x	PROPN
amfbr-346	155	5	)	)	PUNCT
amfbr-346	155	6	b	b	PROPN
amfbr-346	155	7	ln	ln	NOUN
amfbr-346	155	8	x	x	X
amfbr-346	155	9	(	(	PUNCT
amfbr-346	155	10	x-1	x-1	NOUN
amfbr-346	155	11	)	)	PUNCT
amfbr-346	155	12	ln	ln	ADJ
amfbr-346	155	13	a|dx	a|dx	X
amfbr-346	155	14	(	(	PUNCT
amfbr-346	155	15	62	62	NUM
amfbr-346	155	16	)	)	PUNCT
amfbr-346	155	17	a	a	DET
amfbr-346	155	18	,	,	PUNCT
amfbr-346	155	19	b	b	NOUN
amfbr-346	155	20	or	or	CCONJ
amfbr-346	155	21	,	,	PUNCT
amfbr-346	155	22	⌠1	⌠1	PROPN
amfbr-346	155	23	min	min	PROPN
amfbr-346	155	24	:	:	PUNCT
amfbr-346	155	25	s=⌡0	s=⌡0	PROPN
amfbr-346	155	26	|x-1||[lny(x)]/(x-1)-(lnx)/(x-1)-lna|dx	|x-1||[lny(x)]/(x-1)-(lnx)/(x-1)-lna|dx	PROPN
amfbr-346	155	27	(	(	PUNCT
amfbr-346	155	28	63	63	NUM
amfbr-346	155	29	)	)	PUNCT
amfbr-346	155	30	a	a	PRON
amfbr-346	155	31	,	,	PUNCT
amfbr-346	155	32	b	b	NOUN
amfbr-346	155	33	the	the	DET
amfbr-346	155	34	objective	objective	ADJ
amfbr-346	155	35	function	function	NOUN
amfbr-346	155	36	(	(	PUNCT
amfbr-346	155	37	63	63	NUM
amfbr-346	155	38	)	)	PUNCT
amfbr-346	155	39	by	by	ADP
amfbr-346	155	40	some	some	PRON
amfbr-346	155	41	changing	change	VERB
amfbr-346	155	42	on	on	ADP
amfbr-346	155	43	variables	variable	NOUN
amfbr-346	155	44	is	be	AUX
amfbr-346	155	45	similar	similar	ADJ
amfbr-346	155	46	to	to	ADP
amfbr-346	155	47	(	(	PUNCT
amfbr-346	155	48	16	16	NUM
amfbr-346	155	49	)	)	PUNCT
amfbr-346	155	50	.	.	PUNCT
amfbr-346	156	1	thus	thus	ADV
amfbr-346	156	2	,	,	PUNCT
amfbr-346	156	3	by	by	ADP
amfbr-346	156	4	a	a	DET
amfbr-346	156	5	similar	similar	ADJ
amfbr-346	156	6	procedure	procedure	NOUN
amfbr-346	156	7	to	to	ADP
amfbr-346	156	8	those	those	PRON
amfbr-346	156	9	of	of	ADP
amfbr-346	156	10	(	(	PUNCT
amfbr-346	156	11	17	17	NUM
amfbr-346	156	12	)	)	PUNCT
amfbr-346	156	13	through	through	ADP
amfbr-346	156	14	(	(	PUNCT
amfbr-346	156	15	29	29	NUM
amfbr-346	156	16	)	)	PUNCT
amfbr-346	156	17	we	we	PRON
amfbr-346	156	18	can	can	AUX
amfbr-346	156	19	write	write	VERB
amfbr-346	156	20	"	"	PUNCT
amfbr-346	156	21	s	s	NOUN
amfbr-346	156	22	"	"	PUNCT
amfbr-346	156	23	as	as	ADP
amfbr-346	156	24	,	,	PUNCT
amfbr-346	156	25	⌠t1	⌠t1	NUM
amfbr-346	156	26	min	min	NOUN
amfbr-346	156	27	:	:	PUNCT
amfbr-346	156	28	s	s	X
amfbr-346	156	29	=	=	PUNCT
amfbr-346	156	30	⌡0	⌡0	PRON
amfbr-346	156	31	|x-1|{[lny(x)]/(x-1)-(lnx)/(x-1)-lna}dx	|x-1|{[lny(x)]/(x-1)-(lnx)/(x-1)-lna}dx	PROPN
amfbr-346	157	1	a	a	X
amfbr-346	157	2	,	,	PUNCT
amfbr-346	157	3	b	b	PROPN
amfbr-346	157	4	⌠t2	⌠t2	NOUN
amfbr-346	157	5	⌡t1|x-1|{[lny(x)]/(x-1)-(lnx)/(x-1)-lna}dx	⌡t1|x-1|{[lny(x)]/(x-1)-(lnx)/(x-1)-lna}dx	PROPN
amfbr-346	157	6	⌠1	⌠1	PROPN
amfbr-346	157	7	+	+	PROPN
amfbr-346	157	8	⌡t1|x-1|{[lny(x)]/(x-1)-(lnx)/(x-1)-lna}dx	⌡t1|x-1|{[lny(x)]/(x-1)-(lnx)/(x-1)-lna}dx	PROPN
amfbr-346	157	9	(	(	PUNCT
amfbr-346	157	10	64	64	NUM
amfbr-346	157	11	)	)	PUNCT
amfbr-346	157	12	since	since	SCONJ
amfbr-346	157	13	0≤x≤1	0≤x≤1	NOUN
amfbr-346	157	14	,	,	PUNCT
amfbr-346	157	15	then	then	ADV
amfbr-346	157	16	(	(	PUNCT
amfbr-346	157	17	64	64	NUM
amfbr-346	157	18	)	)	PUNCT
amfbr-346	157	19	reduces	reduce	VERB
amfbr-346	157	20	to	to	ADP
amfbr-346	157	21	,	,	PUNCT
amfbr-346	157	22	⌠t1	⌠t1	PROPN
amfbr-346	157	23	⌠t2	⌠t2	X
amfbr-346	157	24	min	min	NOUN
amfbr-346	157	25	:	:	PUNCT
amfbr-346	157	26	s	s	PART
amfbr-346	157	27	=	=	SYM
amfbr-346	158	1	⌡0	⌡0	PRON
amfbr-346	158	2	[	[	X
amfbr-346	158	3	ln	ln	ADJ
amfbr-346	158	4	y(x	y(x	PROPN
amfbr-346	158	5	)	)	PUNCT
amfbr-346	158	6	b	b	PROPN
amfbr-346	158	7	ln	ln	NOUN
amfbr-346	158	8	x	x	X
amfbr-346	158	9	(	(	PUNCT
amfbr-346	158	10	x-1	x-1	NOUN
amfbr-346	158	11	)	)	PUNCT
amfbr-346	158	12	ln	ln	PROPN
amfbr-346	158	13	a]dx	a]dx	PROPN
amfbr-346	159	1	+	+	CCONJ
amfbr-346	159	2	⌡t1	⌡t1	PROPN
amfbr-346	160	1	[	[	X
amfbr-346	160	2	ln	ln	PROPN
amfbr-346	160	3	y(x	y(x	PROPN
amfbr-346	160	4	)	)	PUNCT
amfbr-346	160	5	b	b	PROPN
amfbr-346	160	6	ln	ln	NOUN
amfbr-346	160	7	x	x	X
amfbr-346	160	8	(	(	PUNCT
amfbr-346	160	9	x-1	x-1	NOUN
amfbr-346	160	10	)	)	PUNCT
amfbr-346	160	11	ln	ln	PROPN
amfbr-346	160	12	a]dx	a]dx	PROPN
amfbr-346	160	13	a	a	PRON
amfbr-346	160	14	,	,	PUNCT
amfbr-346	160	15	b	b	PROPN
amfbr-346	160	16	⌠1	⌠1	PROPN
amfbr-346	160	17	⌡t2	⌡t2	NOUN
amfbr-346	161	1	[	[	X
amfbr-346	161	2	ln	ln	PROPN
amfbr-346	161	3	y(x	y(x	PROPN
amfbr-346	161	4	)	)	PUNCT
amfbr-346	161	5	b	b	PROPN
amfbr-346	161	6	ln	ln	NOUN
amfbr-346	161	7	x	x	X
amfbr-346	161	8	(	(	PUNCT
amfbr-346	161	9	x-1	x-1	NOUN
amfbr-346	161	10	)	)	PUNCT
amfbr-346	161	11	ln	ln	PROPN
amfbr-346	161	12	a]dx	a]dx	PROPN
amfbr-346	161	13	(	(	PUNCT
amfbr-346	161	14	65	65	NUM
amfbr-346	161	15	)	)	PUNCT
amfbr-346	161	16	differentiate	differentiate	VERB
amfbr-346	161	17	"	"	PUNCT
amfbr-346	161	18	s	s	PART
amfbr-346	161	19	"	"	PUNCT
amfbr-346	161	20	partially	partially	ADV
amfbr-346	161	21	with	with	ADP
amfbr-346	161	22	respect	respect	NOUN
amfbr-346	161	23	to	to	ADP
amfbr-346	161	24	"	"	PUNCT
amfbr-346	161	25	a	a	DET
amfbr-346	161	26	"	"	PUNCT
amfbr-346	161	27	,	,	PUNCT
amfbr-346	161	28	"	"	PUNCT
amfbr-346	161	29	b	b	X
amfbr-346	161	30	"	"	PUNCT
amfbr-346	161	31	,	,	PUNCT
amfbr-346	161	32	t1	t1	NOUN
amfbr-346	161	33	and	and	CCONJ
amfbr-346	161	34	t2	t2	NOUN
amfbr-346	161	35	and	and	CCONJ
amfbr-346	161	36	equate	equate	VERB
amfbr-346	161	37	them	they	PRON
amfbr-346	161	38	to	to	ADP
amfbr-346	161	39	zero	zero	NUM
amfbr-346	161	40	,	,	PUNCT
amfbr-346	161	41	δs	δs	VERB
amfbr-346	161	42	1	1	NUM
amfbr-346	161	43	⌠t1	⌠t1	NOUN
amfbr-346	161	44	⌠t2	⌠t2	NOUN
amfbr-346	161	45	⌠1	⌠1	PROPN
amfbr-346	161	46	−−−	−−−	NOUN
amfbr-346	162	1	=	=	PUNCT
amfbr-346	163	1	−	−	PROPN
amfbr-346	164	1	[	[	PUNCT
amfbr-346	164	2	⌡0	⌡0	X
amfbr-346	164	3	(	(	PUNCT
amfbr-346	164	4	x-1)dx	x-1)dx	NOUN
amfbr-346	164	5	-⌡t1	-⌡t1	PUNCT
amfbr-346	164	6	(	(	PUNCT
amfbr-346	164	7	x-1)dx	x-1)dx	NOUN
amfbr-346	164	8	+	+	NUM
amfbr-346	164	9	⌡t2	⌡t2	NOUN
amfbr-346	164	10	(	(	PUNCT
amfbr-346	164	11	x-1)dx	x-1)dx	NOUN
amfbr-346	164	12	]	]	PUNCT
amfbr-346	165	1	=	=	SYM
amfbr-346	165	2	0	0	PUNCT
amfbr-346	165	3	(	(	PUNCT
amfbr-346	165	4	66	66	NUM
amfbr-346	165	5	)	)	PUNCT
amfbr-346	165	6	δa	δa	ADP
amfbr-346	165	7	a	a	DET
amfbr-346	165	8	δs	δs	NOUN
amfbr-346	165	9	⌠t1	⌠t1	NOUN
amfbr-346	165	10	⌠t2	⌠t2	NOUN
amfbr-346	165	11	⌠1	⌠1	PROPN
amfbr-346	165	12	−−−−	−−−−	NOUN
amfbr-346	165	13	=	=	PUNCT
amfbr-346	166	1	⌡0	⌡0	PRON
amfbr-346	166	2	ln(x)dx	ln(x)dx	VERB
amfbr-346	166	3	⌡t1	⌡t1	PROPN
amfbr-346	166	4	ln(x)dx	ln(x)dx	VERB
amfbr-346	166	5	+	+	CCONJ
amfbr-346	166	6	⌡t2	⌡t2	NOUN
amfbr-346	166	7	ln(x)dx	ln(x)dx	VERB
amfbr-346	166	8	=	=	SYM
amfbr-346	166	9	0	0	NUM
amfbr-346	166	10	(	(	PUNCT
amfbr-346	166	11	67	67	NUM
amfbr-346	166	12	)	)	PUNCT
amfbr-346	166	13	δb	δb	NOUN
amfbr-346	166	14	δs	δs	VERB
amfbr-346	166	15	−−−−	−−−−	NOUN
amfbr-346	166	16	=	=	SYM
amfbr-346	166	17	-2{ln[y(t1	-2{ln[y(t1	PROPN
amfbr-346	166	18	)	)	PUNCT
amfbr-346	166	19	]	]	PUNCT
amfbr-346	167	1	bln(t1	bln(t1	NOUN
amfbr-346	167	2	)	)	PUNCT
amfbr-346	167	3	(	(	PUNCT
amfbr-346	167	4	t1	t1	NOUN
amfbr-346	167	5	-	-	PUNCT
amfbr-346	167	6	1)ln(a	1)ln(a	NUM
amfbr-346	167	7	)	)	PUNCT
amfbr-346	167	8	}	}	PUNCT
amfbr-346	167	9	=	=	SYM
amfbr-346	167	10	0	0	PUNCT
amfbr-346	167	11	(	(	PUNCT
amfbr-346	167	12	68	68	NUM
amfbr-346	167	13	)	)	PUNCT
amfbr-346	167	14	δt1	δt1	NOUN
amfbr-346	167	15	δs	δs	NOUN
amfbr-346	167	16	−−−−	−−−−	NOUN
amfbr-346	167	17	=	=	SYM
amfbr-346	167	18	2{ln[y(t2	2{ln[y(t2	NUM
amfbr-346	167	19	)	)	PUNCT
amfbr-346	167	20	]	]	PUNCT
amfbr-346	167	21	bln(t2	bln(t2	NOUN
amfbr-346	167	22	)	)	PUNCT
amfbr-346	167	23	(	(	PUNCT
amfbr-346	167	24	t2	t2	NOUN
amfbr-346	167	25	-	-	PUNCT
amfbr-346	167	26	1)ln(a	1)ln(a	NUM
amfbr-346	167	27	)	)	PUNCT
amfbr-346	167	28	}	}	PUNCT
amfbr-346	167	29	=	=	SYM
amfbr-346	167	30	0	0	NUM
amfbr-346	168	1	(	(	PUNCT
amfbr-346	168	2	69	69	NUM
amfbr-346	168	3	)	)	PUNCT
amfbr-346	168	4	δt2	δt2	VERB
amfbr-346	168	5	the	the	DET
amfbr-346	168	6	above	above	ADJ
amfbr-346	168	7	system	system	NOUN
amfbr-346	168	8	of	of	ADP
amfbr-346	168	9	simultaneous	simultaneous	ADJ
amfbr-346	168	10	equations	equation	NOUN
amfbr-346	168	11	can	can	AUX
amfbr-346	168	12	be	be	AUX
amfbr-346	168	13	solved	solve	VERB
amfbr-346	168	14	for	for	ADP
amfbr-346	168	15	the	the	DET
amfbr-346	168	16	unknowns	unknown	NOUN
amfbr-346	168	17	t1	t1	NOUN
amfbr-346	168	18	,	,	PUNCT
amfbr-346	168	19	t2	t2	NOUN
amfbr-346	168	20	,	,	PUNCT
amfbr-346	168	21	"	"	PUNCT
amfbr-346	168	22	a	a	PRON
amfbr-346	168	23	"	"	PUNCT
amfbr-346	168	24	and	and	CCONJ
amfbr-346	168	25	"	"	PUNCT
amfbr-346	168	26	b	b	X
amfbr-346	168	27	"	"	PUNCT
amfbr-346	168	28	.	.	PUNCT
amfbr-346	169	1	equation	equation	NOUN
amfbr-346	169	2	(	(	PUNCT
amfbr-346	169	3	66	66	NUM
amfbr-346	169	4	)	)	PUNCT
amfbr-346	169	5	is	be	AUX
amfbr-346	169	6	reduced	reduce	VERB
amfbr-346	169	7	to	to	ADP
amfbr-346	169	8	,	,	PUNCT
amfbr-346	169	9	t1	t1	PROPN
amfbr-346	169	10	2	2	NUM
amfbr-346	169	11	-	-	PUNCT
amfbr-346	169	12	t2	t2	NOUN
amfbr-346	169	13	2	2	NUM
amfbr-346	169	14	-	-	SYM
amfbr-346	169	15	2(t1	2(t1	NUM
amfbr-346	169	16	-	-	PUNCT
amfbr-346	169	17	t2)-1/2	t2)-1/2	NOUN
amfbr-346	169	18	=	=	SYM
amfbr-346	169	19	0	0	NUM
amfbr-346	169	20	(	(	PUNCT
amfbr-346	169	21	70	70	NUM
amfbr-346	169	22	)	)	PUNCT
amfbr-346	169	23	equation	equation	NOUN
amfbr-346	169	24	(	(	PUNCT
amfbr-346	169	25	67	67	NUM
amfbr-346	169	26	)	)	PUNCT
amfbr-346	169	27	can	can	AUX
amfbr-346	169	28	be	be	AUX
amfbr-346	169	29	written	write	VERB
amfbr-346	169	30	as	as	ADP
amfbr-346	169	31	,	,	PUNCT
amfbr-346	169	32	t1(ln	t1(ln	PROPN
amfbr-346	169	33	t1	t1	PROPN
amfbr-346	169	34	-	-	PUNCT
amfbr-346	169	35	1	1	NUM
amfbr-346	169	36	)	)	PUNCT
amfbr-346	169	37	t2(ln	t2(ln	PROPN
amfbr-346	169	38	t2	t2	NOUN
amfbr-346	169	39	-	-	PUNCT
amfbr-346	169	40	1	1	NUM
amfbr-346	169	41	)	)	PUNCT
amfbr-346	169	42	–	–	PUNCT
amfbr-346	169	43	1/2	1/2	NUM
amfbr-346	169	44	=	=	SYM
amfbr-346	169	45	0	0	NUM
amfbr-346	169	46	(	(	PUNCT
amfbr-346	169	47	71	71	NUM
amfbr-346	169	48	)	)	PUNCT
amfbr-346	169	49	calculate	calculate	NOUN
amfbr-346	169	50	t1	t1	NOUN
amfbr-346	169	51	from	from	ADP
amfbr-346	169	52	(	(	PUNCT
amfbr-346	169	53	70	70	NUM
amfbr-346	169	54	)	)	PUNCT
amfbr-346	169	55	as	as	ADP
amfbr-346	169	56	,	,	PUNCT
amfbr-346	169	57	t1	t1	NOUN
amfbr-346	169	58	=	=	SYM
amfbr-346	169	59	1	1	NUM
amfbr-346	169	60	±√	±√	VERB
amfbr-346	169	61	q	q	X
amfbr-346	170	1	(	(	PUNCT
amfbr-346	170	2	t2	t2	NOUN
amfbr-346	170	3	2	2	NUM
amfbr-346	170	4	-	-	NUM
amfbr-346	170	5	2t2	2t2	NUM
amfbr-346	170	6	+	+	NOUN
amfbr-346	170	7	3/2	3/2	NUM
amfbr-346	170	8	)	)	PUNCT
amfbr-346	170	9	(	(	PUNCT
amfbr-346	170	10	72	72	NUM
amfbr-346	170	11	)	)	PUNCT
amfbr-346	170	12	since	since	SCONJ
amfbr-346	170	13	0st1s1	0st1s1	NOUN
amfbr-346	170	14	,	,	PUNCT
amfbr-346	170	15	we	we	PRON
amfbr-346	170	16	accept	accept	VERB
amfbr-346	170	17	,	,	PUNCT
amfbr-346	170	18	copyright	copyright	NOUN
amfbr-346	170	19	©	©	PROPN
amfbr-346	170	20	cc	cc	PROPN
amfbr-346	170	21	-	-	PUNCT
amfbr-346	170	22	by	by	ADP
amfbr-346	170	23	-	-	PUNCT
amfbr-346	170	24	nc	nc	PROPN
amfbr-346	170	25	2019	2019	NUM
amfbr-346	170	26	,	,	PUNCT
amfbr-346	170	27	cribfb	cribfb	PROPN
amfbr-346	170	28	|	|	ADV
amfbr-346	170	29	amfbr	amfbr	ADJ
amfbr-346	170	30	www.cribfb.com/journal/index.php/amfbr	www.cribfb.com/journal/index.php/amfbr	PROPN
amfbr-346	170	31	american	american	PROPN
amfbr-346	170	32	finance	finance	PROPN
amfbr-346	170	33	&	&	CCONJ
amfbr-346	170	34	banking	banking	PROPN
amfbr-346	170	35	review	review	PROPN
amfbr-346	170	36	vol	vol	NOUN
amfbr-346	170	37	.	.	PROPN
amfbr-346	171	1	4	4	NUM
amfbr-346	171	2	,	,	PUNCT
amfbr-346	171	3	no	no	INTJ
amfbr-346	171	4	.	.	NOUN
amfbr-346	171	5	2	2	NUM
amfbr-346	171	6	;	;	PUNCT
amfbr-346	171	7	2019	2019	NUM
amfbr-346	171	8	17	17	NUM
amfbr-346	171	9	t1	t1	NOUN
amfbr-346	171	10	=	=	SYM
amfbr-346	171	11	1	1	NUM
amfbr-346	171	12	√	√	NUM
amfbr-346	171	13	(	(	PUNCT
amfbr-346	171	14	t2	t2	PROPN
amfbr-346	171	15	2	2	NUM
amfbr-346	171	16	-	-	NUM
amfbr-346	171	17	2t2	2t2	NUM
amfbr-346	171	18	+	+	NOUN
amfbr-346	171	19	3/2	3/2	NUM
amfbr-346	171	20	)	)	PUNCT
amfbr-346	171	21	(	(	PUNCT
amfbr-346	171	22	73	73	NUM
amfbr-346	171	23	)	)	PUNCT
amfbr-346	171	24	substitute	substitute	NOUN
amfbr-346	171	25	t1	t1	NOUN
amfbr-346	171	26	from	from	ADP
amfbr-346	171	27	(	(	PUNCT
amfbr-346	171	28	73	73	NUM
amfbr-346	171	29	)	)	PUNCT
amfbr-346	171	30	into	into	ADP
amfbr-346	171	31	(	(	PUNCT
amfbr-346	171	32	71	71	NUM
amfbr-346	171	33	)	)	PUNCT
amfbr-346	171	34	,	,	PUNCT
amfbr-346	172	1	and	and	CCONJ
amfbr-346	172	2	rearrange	rearrange	VERB
amfbr-346	172	3	the	the	DET
amfbr-346	172	4	terms	term	NOUN
amfbr-346	172	5	,	,	PUNCT
amfbr-346	172	6	gives	give	VERB
amfbr-346	172	7	;	;	PUNCT
amfbr-346	173	1	[	[	X
amfbr-346	173	2	1-√	1-√	NUM
amfbr-346	173	3	(	(	PUNCT
amfbr-346	173	4	t2	t2	NOUN
amfbr-346	173	5	2	2	NUM
amfbr-346	173	6	-	-	NUM
amfbr-346	173	7	2t2	2t2	NUM
amfbr-346	173	8	+	+	NOUN
amfbr-346	173	9	3/2	3/2	NUM
amfbr-346	173	10	)	)	PUNCT
amfbr-346	173	11	]	]	PUNCT
amfbr-346	174	1	[	[	X
amfbr-346	174	2	1-√	1-√	NUM
amfbr-346	174	3	(	(	PUNCT
amfbr-346	174	4	t2	t2	NOUN
amfbr-346	174	5	2	2	NUM
amfbr-346	174	6	-	-	NUM
amfbr-346	174	7	2t2	2t2	NUM
amfbr-346	174	8	+	+	NOUN
amfbr-346	174	9	3/2	3/2	NUM
amfbr-346	174	10	)	)	PUNCT
amfbr-346	174	11	]	]	PUNCT
amfbr-346	174	12	ln	ln	ADJ
amfbr-346	174	13	−−−−−−−−−−−−−−−−−−−−−	−−−−−−−−−−−−−−−−−−−−−	X
amfbr-346	174	14	+	+	CCONJ
amfbr-346	174	15	t2	t2	NOUN
amfbr-346	174	16	-	-	PUNCT
amfbr-346	174	17	3/2+√(t2	3/2+√(t2	NUM
amfbr-346	174	18	2	2	NUM
amfbr-346	174	19	-	-	SYM
amfbr-346	174	20	2t2	2t2	NUM
amfbr-346	174	21	+	+	NOUN
amfbr-346	174	22	3/2	3/2	NUM
amfbr-346	174	23	)	)	PUNCT
amfbr-346	174	24	=	=	SYM
amfbr-346	174	25	0	0	PUNCT
amfbr-346	174	26	(	(	PUNCT
amfbr-346	174	27	74	74	NUM
amfbr-346	174	28	)	)	PUNCT
amfbr-346	174	29	t2	t2	NOUN
amfbr-346	174	30	t2	t2	VERB
amfbr-346	174	31	the	the	DET
amfbr-346	174	32	root	root	NOUN
amfbr-346	174	33	of	of	ADP
amfbr-346	174	34	equation	equation	NOUN
amfbr-346	174	35	(	(	PUNCT
amfbr-346	174	36	74	74	NUM
amfbr-346	174	37	)	)	PUNCT
amfbr-346	174	38	may	may	AUX
amfbr-346	174	39	be	be	AUX
amfbr-346	174	40	computed	compute	VERB
amfbr-346	174	41	by	by	ADP
amfbr-346	174	42	a	a	DET
amfbr-346	174	43	suitable	suitable	ADJ
amfbr-346	174	44	numerical	numerical	ADJ
amfbr-346	174	45	algorithm	algorithm	NOUN
amfbr-346	174	46	.	.	PUNCT
amfbr-346	175	1	however	however	ADV
amfbr-346	175	2	,	,	PUNCT
amfbr-346	175	3	it	it	PRON
amfbr-346	175	4	has	have	AUX
amfbr-346	175	5	been	be	AUX
amfbr-346	175	6	computed	compute	VERB
amfbr-346	175	7	and	and	CCONJ
amfbr-346	175	8	rounded	round	VERB
amfbr-346	175	9	for	for	ADP
amfbr-346	175	10	five	five	NUM
amfbr-346	175	11	digits	digit	NOUN
amfbr-346	175	12	decimal	decimal	ADJ
amfbr-346	175	13	point	point	NOUN
amfbr-346	175	14	as	as	SCONJ
amfbr-346	175	15	,	,	PUNCT
amfbr-346	175	16	t2	t2	NOUN
amfbr-346	175	17	=	=	SYM
amfbr-346	175	18	0.40442	0.40442	NUM
amfbr-346	175	19	(	(	PUNCT
amfbr-346	175	20	75	75	NUM
amfbr-346	175	21	)	)	PUNCT
amfbr-346	175	22	value	value	NOUN
amfbr-346	175	23	of	of	ADP
amfbr-346	175	24	t1	t1	PROPN
amfbr-346	175	25	is	be	AUX
amfbr-346	175	26	derived	derive	VERB
amfbr-346	175	27	by	by	ADP
amfbr-346	175	28	substituting	substitute	VERB
amfbr-346	175	29	t2	t2	NOUN
amfbr-346	175	30	into	into	ADP
amfbr-346	175	31	(	(	PUNCT
amfbr-346	175	32	73	73	NUM
amfbr-346	175	33	)	)	PUNCT
amfbr-346	175	34	;	;	PUNCT
amfbr-346	175	35	t1	t1	NOUN
amfbr-346	175	36	=	=	SYM
amfbr-346	175	37	0.07549	0.07549	NUM
amfbr-346	175	38	(	(	PUNCT
amfbr-346	175	39	76	76	NUM
amfbr-346	175	40	)	)	PUNCT
amfbr-346	175	41	values	value	NOUN
amfbr-346	175	42	of	of	ADP
amfbr-346	175	43	"	"	PUNCT
amfbr-346	175	44	b	b	NOUN
amfbr-346	175	45	"	"	PUNCT
amfbr-346	175	46	and	and	CCONJ
amfbr-346	175	47	"	"	PUNCT
amfbr-346	175	48	a	a	PRON
amfbr-346	175	49	"	"	PUNCT
amfbr-346	175	50	are	be	AUX
amfbr-346	175	51	computed	compute	VERB
amfbr-346	175	52	from	from	ADP
amfbr-346	175	53	(	(	PUNCT
amfbr-346	175	54	68	68	NUM
amfbr-346	175	55	)	)	PUNCT
amfbr-346	175	56	and	and	CCONJ
amfbr-346	175	57	(	(	PUNCT
amfbr-346	175	58	69	69	NUM
amfbr-346	175	59	)	)	PUNCT
amfbr-346	175	60	using	use	VERB
amfbr-346	175	61	t2	t2	PROPN
amfbr-346	175	62	and	and	CCONJ
amfbr-346	175	63	t1	t1	NOUN
amfbr-346	175	64	given	give	VERB
amfbr-346	175	65	by	by	ADP
amfbr-346	175	66	(	(	PUNCT
amfbr-346	175	67	75	75	NUM
amfbr-346	175	68	)	)	PUNCT
amfbr-346	175	69	and	and	CCONJ
amfbr-346	175	70	(	(	PUNCT
amfbr-346	175	71	76	76	NUM
amfbr-346	175	72	)	)	PUNCT
amfbr-346	175	73	.	.	PUNCT
amfbr-346	176	1	thus	thus	ADV
amfbr-346	176	2	,	,	PUNCT
amfbr-346	176	3	(	(	PUNCT
amfbr-346	176	4	t2	t2	NOUN
amfbr-346	176	5	-	-	PUNCT
amfbr-346	176	6	1)lny(t1	1)lny(t1	NUM
amfbr-346	176	7	)	)	PUNCT
amfbr-346	176	8	(	(	PUNCT
amfbr-346	176	9	t1	t1	NOUN
amfbr-346	176	10	-	-	PUNCT
amfbr-346	176	11	1)lny(t2	1)lny(t2	NUM
amfbr-346	176	12	)	)	PUNCT
amfbr-346	176	13	b	b	NOUN
amfbr-346	176	14	=	=	PUNCT
amfbr-346	176	15	−−−−−−−−−−−−−−−−−−	−−−−−−−−−−−−−−−−−−	X
amfbr-346	176	16	(	(	PUNCT
amfbr-346	176	17	77	77	NUM
amfbr-346	176	18	)	)	PUNCT
amfbr-346	176	19	(	(	PUNCT
amfbr-346	176	20	t2	t2	NOUN
amfbr-346	176	21	-	-	PUNCT
amfbr-346	176	22	1)ln(t1	1)ln(t1	NUM
amfbr-346	176	23	)	)	PUNCT
amfbr-346	176	24	(	(	PUNCT
amfbr-346	176	25	t1	t1	NOUN
amfbr-346	176	26	-	-	PUNCT
amfbr-346	176	27	1)ln(t2	1)ln(t2	NUM
amfbr-346	176	28	)	)	PUNCT
amfbr-346	176	29	or	or	CCONJ
amfbr-346	176	30	,	,	PUNCT
amfbr-346	176	31	b	b	X
amfbr-346	176	32	=	=	SYM
amfbr-346	176	33	-0.84857ln[y(0.07549	-0.84857ln[y(0.07549	PROPN
amfbr-346	176	34	)	)	PUNCT
amfbr-346	176	35	]	]	PUNCT
amfbr-346	177	1	+	+	PUNCT
amfbr-346	177	2	1.31722ln[y(0.40442	1.31722ln[y(0.40442	NUM
amfbr-346	177	3	)	)	PUNCT
amfbr-346	177	4	]	]	PUNCT
amfbr-346	177	5	(	(	PUNCT
amfbr-346	177	6	78	78	NUM
amfbr-346	177	7	)	)	PUNCT
amfbr-346	177	8	and	and	CCONJ
amfbr-346	177	9	,	,	PUNCT
amfbr-346	177	10	a	a	PRON
amfbr-346	177	11	=	=	X
amfbr-346	178	1	[	[	X
amfbr-346	178	2	y(0.07549)]1.28986[y(0.40442)]-3.68126	y(0.07549)]1.28986[y(0.40442)]-3.68126	NOUN
amfbr-346	178	3	(	(	PUNCT
amfbr-346	178	4	79	79	NUM
amfbr-346	178	5	)	)	PUNCT
amfbr-346	178	6	now	now	ADV
amfbr-346	178	7	,	,	PUNCT
amfbr-346	178	8	let	let	VERB
amfbr-346	178	9	us	we	PRON
amfbr-346	178	10	describe	describe	VERB
amfbr-346	178	11	how	how	SCONJ
amfbr-346	178	12	equation	equation	NOUN
amfbr-346	178	13	(	(	PUNCT
amfbr-346	178	14	61	61	NUM
amfbr-346	178	15	)	)	PUNCT
amfbr-346	178	16	for	for	ADP
amfbr-346	178	17	the	the	DET
amfbr-346	178	18	model	model	NOUN
amfbr-346	178	19	(	(	PUNCT
amfbr-346	178	20	32	32	NUM
amfbr-346	178	21	)	)	PUNCT
amfbr-346	178	22	and	and	CCONJ
amfbr-346	178	23	equations	equation	NOUN
amfbr-346	178	24	(	(	PUNCT
amfbr-346	178	25	78	78	NUM
amfbr-346	178	26	)	)	PUNCT
amfbr-346	178	27	and	and	CCONJ
amfbr-346	178	28	(	(	PUNCT
amfbr-346	178	29	79	79	NUM
amfbr-346	178	30	)	)	PUNCT
amfbr-346	178	31	for	for	ADP
amfbr-346	178	32	the	the	DET
amfbr-346	178	33	model	model	NOUN
amfbr-346	178	34	(	(	PUNCT
amfbr-346	178	35	33	33	NUM
amfbr-346	178	36	)	)	PUNCT
amfbr-346	178	37	can	can	AUX
amfbr-346	178	38	be	be	AUX
amfbr-346	178	39	used	use	VERB
amfbr-346	178	40	to	to	PART
amfbr-346	178	41	estimate	estimate	VERB
amfbr-346	178	42	the	the	DET
amfbr-346	178	43	parameters	parameter	NOUN
amfbr-346	178	44	of	of	ADP
amfbr-346	178	45	the	the	DET
amfbr-346	178	46	lorenz	lorenz	PROPN
amfbr-346	178	47	curve	curve	NOUN
amfbr-346	178	48	when	when	SCONJ
amfbr-346	178	49	the	the	DET
amfbr-346	178	50	probability	probability	NOUN
amfbr-346	178	51	distribution	distribution	NOUN
amfbr-346	178	52	function	function	NOUN
amfbr-346	178	53	is	be	AUX
amfbr-346	178	54	known	know	VERB
amfbr-346	178	55	.	.	PUNCT
amfbr-346	179	1	in	in	ADP
amfbr-346	179	2	the	the	DET
amfbr-346	179	3	model	model	NOUN
amfbr-346	179	4	(	(	PUNCT
amfbr-346	179	5	32	32	NUM
amfbr-346	179	6	)	)	PUNCT
amfbr-346	179	7	we	we	PRON
amfbr-346	179	8	should	should	AUX
amfbr-346	179	9	solve	solve	VERB
amfbr-346	179	10	(	(	PUNCT
amfbr-346	179	11	44	44	NUM
amfbr-346	179	12	)	)	PUNCT
amfbr-346	179	13	for	for	ADP
amfbr-346	179	14	x(v)=1-√2/2	x(v)=1-√2/2	PROPN
amfbr-346	179	15	.	.	PUNCT
amfbr-346	180	1	on	on	ADP
amfbr-346	180	2	the	the	DET
amfbr-346	180	3	other	other	ADJ
amfbr-346	180	4	hand	hand	NOUN
amfbr-346	180	5	,	,	PUNCT
amfbr-346	180	6	we	we	PRON
amfbr-346	180	7	should	should	AUX
amfbr-346	180	8	find	find	VERB
amfbr-346	180	9	value	value	NOUN
amfbr-346	180	10	of	of	ADP
amfbr-346	180	11	"	"	PUNCT
amfbr-346	180	12	v	v	NOUN
amfbr-346	180	13	"	"	PUNCT
amfbr-346	180	14	such	such	ADJ
amfbr-346	180	15	that	that	SCONJ
amfbr-346	180	16	,	,	PUNCT
amfbr-346	180	17	⌠v	⌠v	ADJ
amfbr-346	180	18	x(v	x(v	PROPN
amfbr-346	180	19	)	)	PUNCT
amfbr-346	181	1	=	=	PUNCT
amfbr-346	182	1	⌡0	⌡0	PRON
amfbr-346	182	2	f(w)dw	f(w)dw	NUM
amfbr-346	182	3	=	=	SYM
amfbr-346	182	4	1-√2/2	1-√2/2	PROPN
amfbr-346	182	5	(	(	PUNCT
amfbr-346	182	6	80	80	NUM
amfbr-346	182	7	)	)	PUNCT
amfbr-346	182	8	by	by	ADP
amfbr-346	182	9	substituting	substitute	VERB
amfbr-346	182	10	this	this	DET
amfbr-346	182	11	value	value	NOUN
amfbr-346	182	12	of	of	ADP
amfbr-346	182	13	"	"	PUNCT
amfbr-346	182	14	v	v	NOUN
amfbr-346	182	15	"	"	PUNCT
amfbr-346	182	16	into	into	ADP
amfbr-346	182	17	(	(	PUNCT
amfbr-346	182	18	45	45	NUM
amfbr-346	182	19	)	)	PUNCT
amfbr-346	182	20	,	,	PUNCT
amfbr-346	182	21	value	value	NOUN
amfbr-346	182	22	of	of	ADP
amfbr-346	182	23	y(1-√2/2	y(1-√2/2	PROPN
amfbr-346	182	24	)	)	PUNCT
amfbr-346	182	25	is	be	AUX
amfbr-346	182	26	computed	compute	VERB
amfbr-346	182	27	.	.	PUNCT
amfbr-346	183	1	the	the	DET
amfbr-346	183	2	value	value	NOUN
amfbr-346	183	3	y(1-√2/2	y(1-√2/2	PROPN
amfbr-346	183	4	)	)	PUNCT
amfbr-346	183	5	is	be	AUX
amfbr-346	183	6	used	use	VERB
amfbr-346	183	7	to	to	PART
amfbr-346	183	8	compute	compute	VERB
amfbr-346	183	9	the	the	DET
amfbr-346	183	10	parameter	parameter	NOUN
amfbr-346	183	11	"	"	PUNCT
amfbr-346	183	12	a	a	PRON
amfbr-346	183	13	"	"	PUNCT
amfbr-346	183	14	given	give	VERB
amfbr-346	183	15	by	by	ADP
amfbr-346	183	16	(	(	PUNCT
amfbr-346	183	17	61	61	NUM
amfbr-346	183	18	)	)	PUNCT
amfbr-346	183	19	for	for	ADP
amfbr-346	183	20	model	model	NOUN
amfbr-346	183	21	(	(	PUNCT
amfbr-346	183	22	32	32	NUM
amfbr-346	183	23	)	)	PUNCT
amfbr-346	183	24	.	.	PUNCT
amfbr-346	184	1	the	the	DET
amfbr-346	184	2	procedure	procedure	NOUN
amfbr-346	184	3	for	for	ADP
amfbr-346	184	4	the	the	DET
amfbr-346	184	5	model	model	NOUN
amfbr-346	184	6	(	(	PUNCT
amfbr-346	184	7	33	33	NUM
amfbr-346	184	8	)	)	PUNCT
amfbr-346	184	9	is	be	AUX
amfbr-346	184	10	also	also	ADV
amfbr-346	184	11	similar	similar	ADJ
amfbr-346	184	12	,	,	PUNCT
amfbr-346	184	13	with	with	ADP
amfbr-346	184	14	the	the	DET
amfbr-346	184	15	difference	difference	NOUN
amfbr-346	184	16	that	that	PRON
amfbr-346	184	17	two	two	NUM
amfbr-346	184	18	values	value	NOUN
amfbr-346	184	19	of	of	ADP
amfbr-346	184	20	"	"	PUNCT
amfbr-346	184	21	v	v	NOUN
amfbr-346	184	22	"	"	PUNCT
amfbr-346	184	23	should	should	AUX
amfbr-346	184	24	be	be	AUX
amfbr-346	184	25	computed	compute	VERB
amfbr-346	184	26	.	.	PUNCT
amfbr-346	185	1	once	once	ADV
amfbr-346	185	2	two	two	NUM
amfbr-346	185	3	different	different	ADJ
amfbr-346	185	4	values	value	NOUN
amfbr-346	185	5	of	of	ADP
amfbr-346	185	6	"	"	PUNCT
amfbr-346	185	7	v	v	NOUN
amfbr-346	185	8	"	"	PUNCT
amfbr-346	185	9	are	be	AUX
amfbr-346	185	10	computed	compute	VERB
amfbr-346	185	11	as	as	ADP
amfbr-346	185	12	follow	follow	NOUN
amfbr-346	185	13	,	,	PUNCT
amfbr-346	185	14	⌠v	⌠v	ADJ
amfbr-346	185	15	x(v	x(v	PROPN
amfbr-346	185	16	)	)	PUNCT
amfbr-346	186	1	=	=	PUNCT
amfbr-346	187	1	⌡0	⌡0	PRON
amfbr-346	187	2	f(w)dw	f(w)dw	NUM
amfbr-346	187	3	=	=	SYM
amfbr-346	187	4	0.07549	0.07549	NUM
amfbr-346	187	5	(	(	PUNCT
amfbr-346	187	6	81	81	NUM
amfbr-346	187	7	)	)	PUNCT
amfbr-346	187	8	⌠v	⌠v	PROPN
amfbr-346	187	9	x(v	x(v	PROPN
amfbr-346	187	10	)	)	PUNCT
amfbr-346	187	11	=	=	PUNCT
amfbr-346	188	1	⌡0	⌡0	PRON
amfbr-346	188	2	f(w)dw	f(w)dw	NUM
amfbr-346	188	3	=	=	SYM
amfbr-346	188	4	0.40442	0.40442	NUM
amfbr-346	188	5	(	(	PUNCT
amfbr-346	188	6	82	82	NUM
amfbr-346	188	7	)	)	PUNCT
amfbr-346	188	8	values	value	NOUN
amfbr-346	188	9	of	of	ADP
amfbr-346	188	10	"	"	PUNCT
amfbr-346	188	11	v	v	NOUN
amfbr-346	188	12	"	"	PUNCT
amfbr-346	188	13	are	be	AUX
amfbr-346	188	14	substituted	substitute	VERB
amfbr-346	188	15	in	in	ADP
amfbr-346	188	16	(	(	PUNCT
amfbr-346	188	17	45	45	NUM
amfbr-346	188	18	)	)	PUNCT
amfbr-346	188	19	to	to	PART
amfbr-346	188	20	find	find	VERB
amfbr-346	188	21	y(0.07549	y(0.07549	NOUN
amfbr-346	188	22	)	)	PUNCT
amfbr-346	188	23	and	and	CCONJ
amfbr-346	188	24	y(0.40442	y(0.40442	PROPN
amfbr-346	188	25	)	)	PUNCT
amfbr-346	188	26	.	.	PUNCT
amfbr-346	189	1	these	these	DET
amfbr-346	189	2	values	value	NOUN
amfbr-346	189	3	of	of	ADP
amfbr-346	189	4	"	"	PUNCT
amfbr-346	189	5	y	y	NOUN
amfbr-346	189	6	"	"	PUNCT
amfbr-346	189	7	are	be	AUX
amfbr-346	189	8	used	use	VERB
amfbr-346	189	9	to	to	PART
amfbr-346	189	10	compute	compute	VERB
amfbr-346	189	11	the	the	DET
amfbr-346	189	12	parameters	parameter	NOUN
amfbr-346	189	13	of	of	ADP
amfbr-346	189	14	the	the	DET
amfbr-346	189	15	model	model	NOUN
amfbr-346	189	16	(	(	PUNCT
amfbr-346	189	17	33	33	NUM
amfbr-346	189	18	)	)	PUNCT
amfbr-346	189	19	by	by	ADP
amfbr-346	189	20	substituting	substitute	VERB
amfbr-346	189	21	them	they	PRON
amfbr-346	189	22	into	into	ADP
amfbr-346	189	23	(	(	PUNCT
amfbr-346	189	24	78	78	NUM
amfbr-346	189	25	)	)	PUNCT
amfbr-346	189	26	and	and	CCONJ
amfbr-346	189	27	(	(	PUNCT
amfbr-346	189	28	79	79	NUM
amfbr-346	189	29	)	)	PUNCT
amfbr-346	189	30	.	.	PUNCT
amfbr-346	190	1	the	the	DET
amfbr-346	190	2	only	only	ADJ
amfbr-346	190	3	problem	problem	NOUN
amfbr-346	190	4	remains	remain	VERB
amfbr-346	190	5	is	be	AUX
amfbr-346	190	6	computation	computation	NOUN
amfbr-346	190	7	of	of	ADP
amfbr-346	190	8	related	related	ADJ
amfbr-346	190	9	definite	definite	ADJ
amfbr-346	190	10	integrals	integral	NOUN
amfbr-346	190	11	of	of	ADP
amfbr-346	190	12	x(v	x(v	NOUN
amfbr-346	190	13	)	)	PUNCT
amfbr-346	190	14	defined	define	VERB
amfbr-346	190	15	by	by	ADP
amfbr-346	190	16	(	(	PUNCT
amfbr-346	190	17	80	80	NUM
amfbr-346	190	18	)	)	PUNCT
amfbr-346	190	19	,	,	PUNCT
amfbr-346	190	20	(	(	PUNCT
amfbr-346	190	21	81	81	NUM
amfbr-346	190	22	)	)	PUNCT
amfbr-346	190	23	and	and	CCONJ
amfbr-346	190	24	(	(	PUNCT
amfbr-346	190	25	82	82	NUM
amfbr-346	190	26	)	)	PUNCT
amfbr-346	190	27	which	which	PRON
amfbr-346	190	28	can	can	AUX
amfbr-346	190	29	be	be	AUX
amfbr-346	190	30	done	do	VERB
amfbr-346	190	31	by	by	ADP
amfbr-346	190	32	appropriate	appropriate	ADJ
amfbr-346	190	33	numerical	numerical	ADJ
amfbr-346	190	34	methods	method	NOUN
amfbr-346	190	35	such	such	ADJ
amfbr-346	190	36	as	as	ADP
amfbr-346	190	37	the	the	DET
amfbr-346	190	38	enclosed	enclose	VERB
amfbr-346	190	39	sample	sample	NOUN
amfbr-346	190	40	computer	computer	NOUN
amfbr-346	190	41	program	program	NOUN
amfbr-346	190	42	coded	code	VERB
amfbr-346	190	43	for	for	ADP
amfbr-346	190	44	mathcad	mathcad	PROPN
amfbr-346	190	45	11	11	NUM
amfbr-346	190	46	for	for	ADP
amfbr-346	190	47	a	a	DET
amfbr-346	190	48	complete	complete	ADJ
amfbr-346	190	49	example	example	NOUN
amfbr-346	190	50	.	.	PUNCT
amfbr-346	191	1	7	7	X
amfbr-346	191	2	.	.	X
amfbr-346	191	3	income	income	NOUN
amfbr-346	191	4	distribution	distribution	NOUN
amfbr-346	191	5	in	in	ADP
amfbr-346	191	6	the	the	DET
amfbr-346	191	7	united	united	PROPN
amfbr-346	191	8	states	states	PROPN
amfbr-346	191	9	of	of	ADP
amfbr-346	191	10	america	america	PROPN
amfbr-346	191	11	in	in	ADP
amfbr-346	191	12	order	order	NOUN
amfbr-346	191	13	to	to	PART
amfbr-346	191	14	compute	compute	VERB
amfbr-346	191	15	the	the	DET
amfbr-346	191	16	lorenz	lorenz	PROPN
amfbr-346	191	17	curve	curve	NOUN
amfbr-346	191	18	for	for	ADP
amfbr-346	191	19	the	the	DET
amfbr-346	191	20	united	united	PROPN
amfbr-346	191	21	states	states	PROPN
amfbr-346	191	22	,	,	PUNCT
amfbr-346	191	23	we	we	PRON
amfbr-346	191	24	try	try	VERB
amfbr-346	191	25	to	to	PART
amfbr-346	191	26	apply	apply	VERB
amfbr-346	191	27	the	the	DET
amfbr-346	191	28	above	above	ADJ
amfbr-346	191	29	procedure	procedure	NOUN
amfbr-346	191	30	for	for	ADP
amfbr-346	191	31	both	both	PRON
amfbr-346	191	32	(	(	PUNCT
amfbr-346	191	33	32	32	NUM
amfbr-346	191	34	)	)	PUNCT
amfbr-346	191	35	and	and	CCONJ
amfbr-346	191	36	(	(	PUNCT
amfbr-346	191	37	33	33	NUM
amfbr-346	191	38	)	)	PUNCT
amfbr-346	191	39	propositions	proposition	NOUN
amfbr-346	191	40	and	and	CCONJ
amfbr-346	191	41	using	use	VERB
amfbr-346	191	42	log	log	NOUN
amfbr-346	191	43	-	-	PUNCT
amfbr-346	191	44	normal	normal	ADJ
amfbr-346	191	45	distribution	distribution	NOUN
amfbr-346	191	46	function	function	NOUN
amfbr-346	191	47	assumption	assumption	NOUN
amfbr-346	191	48	.	.	PUNCT
amfbr-346	192	1	the	the	DET
amfbr-346	192	2	source	source	NOUN
amfbr-346	192	3	of	of	ADP
amfbr-346	192	4	data	datum	NOUN
amfbr-346	192	5	is	be	AUX
amfbr-346	192	6	"	"	PUNCT
amfbr-346	192	7	the	the	DET
amfbr-346	192	8	u.s	u.s	PROPN
amfbr-346	192	9	.	.	PROPN
amfbr-346	192	10	economic	economic	ADJ
amfbr-346	192	11	report	report	NOUN
amfbr-346	192	12	of	of	ADP
amfbr-346	192	13	the	the	DET
amfbr-346	192	14	president	president	NOUN
amfbr-346	192	15	to	to	ADP
amfbr-346	192	16	parliament	parliament	NOUN
amfbr-346	192	17	,	,	PUNCT
amfbr-346	192	18	different	different	ADJ
amfbr-346	192	19	years	year	NOUN
amfbr-346	192	20	"	"	PUNCT
amfbr-346	192	21	.	.	PUNCT
amfbr-346	193	1	median	median	ADJ
amfbr-346	193	2	income	income	NOUN
amfbr-346	193	3	and	and	CCONJ
amfbr-346	193	4	disposable	disposable	ADJ
amfbr-346	193	5	personal	personal	ADJ
amfbr-346	193	6	income	income	NOUN
amfbr-346	193	7	per	per	ADP
amfbr-346	193	8	family	family	NOUN
amfbr-346	193	9	report	report	NOUN
amfbr-346	193	10	by	by	ADP
amfbr-346	193	11	table	table	NOUN
amfbr-346	193	12	1	1	NUM
amfbr-346	193	13	.	.	PUNCT
amfbr-346	194	1	the	the	DET
amfbr-346	194	2	amount	amount	NOUN
amfbr-346	194	3	of	of	ADP
amfbr-346	194	4	mean	mean	NOUN
amfbr-346	194	5	and	and	CCONJ
amfbr-346	194	6	median	median	NOUN
amfbr-346	194	7	of	of	ADP
amfbr-346	194	8	income	income	NOUN
amfbr-346	194	9	were	be	AUX
amfbr-346	194	10	used	use	VERB
amfbr-346	194	11	to	to	PART
amfbr-346	194	12	derive	derive	VERB
amfbr-346	194	13	the	the	DET
amfbr-346	194	14	log	log	NOUN
amfbr-346	194	15	-	-	PUNCT
amfbr-346	194	16	normal	normal	ADJ
amfbr-346	194	17	density	density	NOUN
amfbr-346	194	18	function	function	NOUN
amfbr-346	194	19	parameters	parameter	NOUN
amfbr-346	194	20	μ	μ	PROPN
amfbr-346	194	21	and	and	CCONJ
amfbr-346	194	22	δ	δ	PROPN
amfbr-346	194	23	.	.	PUNCT
amfbr-346	195	1	the	the	DET
amfbr-346	195	2	explained	explain	VERB
amfbr-346	195	3	procedure	procedure	NOUN
amfbr-346	195	4	of	of	ADP
amfbr-346	195	5	estimation	estimation	NOUN
amfbr-346	195	6	then	then	ADV
amfbr-346	195	7	applied	apply	VERB
amfbr-346	195	8	to	to	ADP
amfbr-346	195	9	the	the	DET
amfbr-346	195	10	series	series	NOUN
amfbr-346	195	11	of	of	ADP
amfbr-346	195	12	data	datum	NOUN
amfbr-346	195	13	for	for	ADP
amfbr-346	195	14	1977	1977	NUM
amfbr-346	195	15	-	-	SYM
amfbr-346	195	16	2002	2002	NUM
amfbr-346	195	17	,	,	PUNCT
amfbr-346	195	18	and	and	CCONJ
amfbr-346	195	19	corresponding	corresponding	ADJ
amfbr-346	195	20	results	result	NOUN
amfbr-346	195	21	are	be	AUX
amfbr-346	195	22	reported	report	VERB
amfbr-346	195	23	in	in	ADP
amfbr-346	195	24	next	next	ADJ
amfbr-346	195	25	table	table	NOUN
amfbr-346	195	26	2	2	NUM
amfbr-346	195	27	.	.	PUNCT
amfbr-346	196	1	the	the	DET
amfbr-346	196	2	results	result	NOUN
amfbr-346	196	3	of	of	ADP
amfbr-346	196	4	slottje	slottje	NOUN
amfbr-346	196	5	(	(	PUNCT
amfbr-346	196	6	1989	1989	NUM
amfbr-346	196	7	)	)	PUNCT
amfbr-346	196	8	,	,	PUNCT
amfbr-346	196	9	which	which	PRON
amfbr-346	196	10	are	be	AUX
amfbr-346	196	11	based	base	VERB
amfbr-346	196	12	on	on	ADP
amfbr-346	196	13	quintile	quintile	NOUN
amfbr-346	196	14	data	datum	NOUN
amfbr-346	196	15	calculations	calculation	NOUN
amfbr-346	196	16	,	,	PUNCT
amfbr-346	196	17	confirm	confirm	VERB
amfbr-346	196	18	our	our	PRON
amfbr-346	196	19	finding	finding	NOUN
amfbr-346	196	20	figures	figure	NOUN
amfbr-346	196	21	partially	partially	ADV
amfbr-346	196	22	.	.	PUNCT
amfbr-346	197	1	comparisons	comparison	NOUN
amfbr-346	197	2	show	show	VERB
amfbr-346	197	3	the	the	DET
amfbr-346	197	4	high	high	ADJ
amfbr-346	197	5	compatibility	compatibility	NOUN
amfbr-346	197	6	of	of	ADP
amfbr-346	197	7	both	both	DET
amfbr-346	197	8	procedures	procedure	NOUN
amfbr-346	197	9	.	.	PUNCT
amfbr-346	198	1	an	an	DET
amfbr-346	198	2	interesting	interesting	ADJ
amfbr-346	198	3	finding	finding	NOUN
amfbr-346	198	4	of	of	ADP
amfbr-346	198	5	these	these	DET
amfbr-346	198	6	calculations	calculation	NOUN
amfbr-346	198	7	is	be	AUX
amfbr-346	198	8	that	that	SCONJ
amfbr-346	198	9	the	the	DET
amfbr-346	198	10	distribution	distribution	NOUN
amfbr-346	198	11	of	of	ADP
amfbr-346	198	12	income	income	NOUN
amfbr-346	198	13	obeys	obey	NOUN
amfbr-346	198	14	counter	counter	ADJ
amfbr-346	198	15	-	-	ADJ
amfbr-346	198	16	wise	wise	ADJ
amfbr-346	198	17	business	business	NOUN
amfbr-346	198	18	cycles	cycle	NOUN
amfbr-346	198	19	fluctuations	fluctuation	NOUN
amfbr-346	198	20	.	.	PUNCT
amfbr-346	199	1	this	this	DET
amfbr-346	199	2	finding	finding	NOUN
amfbr-346	199	3	is	be	AUX
amfbr-346	199	4	a	a	DET
amfbr-346	199	5	new	new	ADJ
amfbr-346	199	6	area	area	NOUN
amfbr-346	199	7	for	for	ADP
amfbr-346	199	8	research	research	NOUN
amfbr-346	199	9	in	in	ADP
amfbr-346	199	10	the	the	DET
amfbr-346	199	11	realm	realm	NOUN
amfbr-346	199	12	of	of	ADP
amfbr-346	199	13	the	the	DET
amfbr-346	199	14	theory	theory	NOUN
amfbr-346	199	15	and	and	CCONJ
amfbr-346	199	16	application	application	NOUN
amfbr-346	199	17	of	of	ADP
amfbr-346	199	18	income	income	NOUN
amfbr-346	199	19	distribution	distribution	NOUN
amfbr-346	199	20	and	and	CCONJ
amfbr-346	199	21	business	business	NOUN
amfbr-346	199	22	cycles	cycle	NOUN
amfbr-346	199	23	interrelationship	interrelationship	NOUN
amfbr-346	199	24	.	.	PUNCT
amfbr-346	200	1	a	a	DET
amfbr-346	200	2	sample	sample	NOUN
amfbr-346	200	3	computer	computer	NOUN
amfbr-346	200	4	program	program	NOUN
amfbr-346	200	5	is	be	AUX
amfbr-346	200	6	also	also	ADV
amfbr-346	200	7	enclosed	enclose	VERB
amfbr-346	200	8	at	at	ADP
amfbr-346	200	9	the	the	DET
amfbr-346	200	10	end	end	NOUN
amfbr-346	200	11	of	of	ADP
amfbr-346	200	12	these	these	DET
amfbr-346	200	13	pages	page	NOUN
amfbr-346	200	14	.	.	PUNCT
amfbr-346	201	1	copyright	copyright	NOUN
amfbr-346	201	2	©	©	PROPN
amfbr-346	201	3	cc	cc	PROPN
amfbr-346	201	4	-	-	PUNCT
amfbr-346	201	5	by	by	ADP
amfbr-346	201	6	-	-	PUNCT
amfbr-346	201	7	nc	nc	PROPN
amfbr-346	201	8	2019	2019	NUM
amfbr-346	201	9	,	,	PUNCT
amfbr-346	201	10	cribfb	cribfb	PROPN
amfbr-346	201	11	|	|	ADV
amfbr-346	201	12	amfbr	amfbr	ADJ
amfbr-346	201	13	www.cribfb.com/journal/index.php/amfbr	www.cribfb.com/journal/index.php/amfbr	PROPN
amfbr-346	201	14	american	american	PROPN
amfbr-346	201	15	finance	finance	PROPN
amfbr-346	201	16	&	&	CCONJ
amfbr-346	201	17	banking	banking	PROPN
amfbr-346	201	18	review	review	PROPN
amfbr-346	201	19	vol	vol	NOUN
amfbr-346	201	20	.	.	PROPN
amfbr-346	202	1	4	4	NUM
amfbr-346	202	2	,	,	PUNCT
amfbr-346	202	3	no	no	INTJ
amfbr-346	202	4	.	.	NOUN
amfbr-346	202	5	2	2	NUM
amfbr-346	202	6	;	;	PUNCT
amfbr-346	202	7	2019	2019	NUM
amfbr-346	202	8	18	18	NUM
amfbr-346	202	9	table	table	NOUN
amfbr-346	202	10	1	1	NUM
amfbr-346	202	11	.	.	PUNCT
amfbr-346	202	12	year	year	NOUN
amfbr-346	202	13	population	population	NOUN
amfbr-346	202	14	millions	million	NOUN
amfbr-346	202	15	no	no	INTJ
amfbr-346	202	16	.	.	PUNCT
amfbr-346	203	1	of	of	ADP
amfbr-346	203	2	famili	famili	NOUN
amfbr-346	203	3	es	es	PROPN
amfbr-346	203	4	millio	millio	NOUN
amfbr-346	203	5	ns	ns	CCONJ
amfbr-346	203	6	disposable	disposable	ADJ
amfbr-346	203	7	personal	personal	ADJ
amfbr-346	203	8	income	income	NOUN
amfbr-346	203	9	,	,	PUNCT
amfbr-346	203	10	billions	billion	NOUN
amfbr-346	203	11	of	of	ADP
amfbr-346	203	12	current	current	ADJ
amfbr-346	203	13	$	$	SYM
amfbr-346	203	14	per	per	ADP
amfbr-346	203	15	capita	capita	X
amfbr-346	203	16	disposabl	disposabl	NOUN
amfbr-346	203	17	e	e	NOUN
amfbr-346	203	18	income	income	NOUN
amfbr-346	203	19	$	$	SYM
amfbr-346	203	20	per	per	ADP
amfbr-346	203	21	family	family	NOUN
amfbr-346	203	22	disposabl	disposabl	ADJ
amfbr-346	203	23	e	e	NOUN
amfbr-346	203	24	income	income	NOUN
amfbr-346	203	25	$	$	NOUN
amfbr-346	203	26	family	family	NOUN
amfbr-346	203	27	median	median	ADJ
amfbr-346	203	28	income	income	NOUN
amfbr-346	203	29	current	current	ADJ
amfbr-346	203	30	$	$	SYM
amfbr-346	203	31	gross	gross	ADJ
amfbr-346	203	32	domestic	domestic	ADJ
amfbr-346	203	33	product	product	NOUN
amfbr-346	203	34	billions	billion	NOUN
amfbr-346	203	35	of	of	ADP
amfbr-346	203	36	$	$	SYM
amfbr-346	203	37	real	real	ADJ
amfbr-346	203	38	gross	gross	ADJ
amfbr-346	203	39	domestic	domestic	ADJ
amfbr-346	203	40	product	product	NOUN
amfbr-346	203	41	billions	billion	NOUN
amfbr-346	203	42	of	of	ADP
amfbr-346	203	43	chained	chain	VERB
amfbr-346	203	44	(	(	PUNCT
amfbr-346	203	45	2000	2000	NUM
amfbr-346	203	46	)	)	PUNCT
amfbr-346	203	47	$	$	SYM
amfbr-346	203	48	1977	1977	NUM
amfbr-346	203	49	220.3	220.3	NUM
amfbr-346	203	50	57.2	57.2	NUM
amfbr-346	203	51	1435.7	1435.7	NUM
amfbr-346	203	52	6,517	6,517	NUM
amfbr-346	203	53	25,098	25,098	NUM
amfbr-346	203	54	16009.0	16009.0	NUM
amfbr-346	203	55	2,030.9	2,030.9	NUM
amfbr-346	203	56	4,750.5	4,750.5	NUM
amfbr-346	203	57	1978	1978	NUM
amfbr-346	203	58	222.6	222.6	NUM
amfbr-346	203	59	57.8	57.8	NUM
amfbr-346	203	60	1608.3	1608.3	NUM
amfbr-346	203	61	7,224	7,224	NUM
amfbr-346	203	62	27,825	27,825	NUM
amfbr-346	203	63	17639.9	17639.9	NUM
amfbr-346	203	64	2,294.7	2,294.7	NUM
amfbr-346	203	65	5,015.0	5,015.0	NUM
amfbr-346	203	66	1979	1979	NUM
amfbr-346	203	67	225.1	225.1	NUM
amfbr-346	203	68	59.6	59.6	NUM
amfbr-346	203	69	1793.5	1793.5	NUM
amfbr-346	203	70	7,967	7,967	NUM
amfbr-346	203	71	30,091	30,091	NUM
amfbr-346	203	72	19587.2	19587.2	NUM
amfbr-346	203	73	2,563.3	2,563.3	NUM
amfbr-346	203	74	5,173.4	5,173.4	NUM
amfbr-346	203	75	1980	1980	NUM
amfbr-346	203	76	227.7	227.7	NUM
amfbr-346	203	77	60.3	60.3	NUM
amfbr-346	203	78	2009.0	2009.0	NUM
amfbr-346	203	79	8,822	8,822	NUM
amfbr-346	203	80	33,317	33,317	NUM
amfbr-346	203	81	21023.2	21023.2	NUM
amfbr-346	203	82	2,789.5	2,789.5	NUM
amfbr-346	203	83	5,161.7	5,161.7	NUM
amfbr-346	203	84	1981	1981	NUM
amfbr-346	203	85	230.0	230.0	NUM
amfbr-346	203	86	61.0	61.0	NUM
amfbr-346	203	87	2246.1	2246.1	NUM
amfbr-346	203	88	9,765	9,765	NUM
amfbr-346	203	89	36,820	36,820	NUM
amfbr-346	203	90	22387.8	22387.8	NUM
amfbr-346	203	91	3,128.4	3,128.4	NUM
amfbr-346	203	92	5,291.7	5,291.7	NUM
amfbr-346	203	93	1982	1982	NUM
amfbr-346	203	94	232.2	232.2	NUM
amfbr-346	203	95	61.4	61.4	NUM
amfbr-346	203	96	2421.2	2421.2	NUM
amfbr-346	203	97	10,426	10,426	NUM
amfbr-346	203	98	39,432	39,432	NUM
amfbr-346	203	99	23433.3	23433.3	NUM
amfbr-346	203	100	3,255.0	3,255.0	NUM
amfbr-346	203	101	5,189.3	5,189.3	NUM
amfbr-346	203	102	1983	1983	NUM
amfbr-346	203	103	234.3	234.3	NUM
amfbr-346	203	104	62.0	62.0	NUM
amfbr-346	203	105	2608.4	2608.4	NUM
amfbr-346	203	106	11,131	11,131	NUM
amfbr-346	203	107	42,070	42,070	NUM
amfbr-346	203	108	24673.9	24673.9	NUM
amfbr-346	203	109	3,536.7	3,536.7	NUM
amfbr-346	203	110	5,423.8	5,423.8	NUM
amfbr-346	203	111	1984	1984	NUM
amfbr-346	203	112	236.4	236.4	NUM
amfbr-346	203	113	62.7	62.7	NUM
amfbr-346	203	114	2912.0	2912.0	NUM
amfbr-346	203	115	12,319	12,319	NUM
amfbr-346	203	116	46,446	46,446	NUM
amfbr-346	203	117	26433.1	26433.1	NUM
amfbr-346	203	118	3,933.2	3,933.2	NUM
amfbr-346	203	119	5,813.6	5,813.6	NUM
amfbr-346	203	120	1985	1985	NUM
amfbr-346	203	121	238.5	238.5	NUM
amfbr-346	203	122	63.6	63.6	NUM
amfbr-346	203	123	3109.3	3109.3	NUM
amfbr-346	203	124	13,037	13,037	NUM
amfbr-346	203	125	48,890	48,890	NUM
amfbr-346	203	126	27735.2	27735.2	NUM
amfbr-346	203	127	4,220.3	4,220.3	NUM
amfbr-346	203	128	6,053.7	6,053.7	NOUN
amfbr-346	203	129	1986	1986	NUM
amfbr-346	203	130	240.7	240.7	NUM
amfbr-346	203	131	64.5	64.5	NUM
amfbr-346	203	132	3285.1	3285.1	NUM
amfbr-346	203	133	13,649	13,649	NUM
amfbr-346	203	134	50,932	50,932	NUM
amfbr-346	203	135	29458.2	29458.2	NUM
amfbr-346	203	136	4,462.8	4,462.8	PROPN
amfbr-346	203	137	6,263.6	6,263.6	NUM
amfbr-346	203	138	1987	1987	NUM
amfbr-346	203	139	242.8	242.8	NUM
amfbr-346	203	140	65.2	65.2	NUM
amfbr-346	203	141	3458.3	3458.3	NUM
amfbr-346	203	142	14,241	14,241	NUM
amfbr-346	203	143	53,042	53,042	NUM
amfbr-346	203	144	30970.2	30970.2	NUM
amfbr-346	203	145	4,739.5	4,739.5	NUM
amfbr-346	203	146	6,475.1	6,475.1	NUM
amfbr-346	203	147	1988	1988	NUM
amfbr-346	203	148	245.1	245.1	NUM
amfbr-346	203	149	65.8	65.8	NUM
amfbr-346	203	150	3748.7	3748.7	NUM
amfbr-346	203	151	15,297	15,297	NUM
amfbr-346	203	152	56,971	56,971	NUM
amfbr-346	203	153	32191.0	32191.0	NUM
amfbr-346	203	154	5,103.8	5,103.8	NUM
amfbr-346	203	155	6,742.7	6,742.7	NUM
amfbr-346	203	156	1989	1989	NUM
amfbr-346	203	157	247.4	247.4	NUM
amfbr-346	203	158	66.1	66.1	NUM
amfbr-346	203	159	4021.7	4021.7	NUM
amfbr-346	203	160	16,257	16,257	NUM
amfbr-346	203	161	60,844	60,844	NUM
amfbr-346	203	162	34213.1	34213.1	NUM
amfbr-346	203	163	5,484.4	5,484.4	NUM
amfbr-346	203	164	6,981.4	6,981.4	NUM
amfbr-346	203	165	1990	1990	NUM
amfbr-346	203	166	250.2	250.2	NUM
amfbr-346	203	167	66.3	66.3	NUM
amfbr-346	203	168	4285.8	4285.8	NUM
amfbr-346	203	169	17,131	17,131	NUM
amfbr-346	203	170	64,643	64,643	NUM
amfbr-346	203	171	35353.3	35353.3	NUM
amfbr-346	203	172	5,803.1	5,803.1	NUM
amfbr-346	203	173	7,112.5	7,112.5	NUM
amfbr-346	203	174	1991	1991	NUM
amfbr-346	203	175	253.5	253.5	NUM
amfbr-346	203	176	67.2	67.2	NUM
amfbr-346	203	177	4464.3	4464.3	NUM
amfbr-346	203	178	17,609	17,609	NUM
amfbr-346	203	179	66,435	66,435	NUM
amfbr-346	203	180	35938.7	35938.7	NUM
amfbr-346	203	181	5,995.9	5,995.9	NUM
amfbr-346	203	182	7,100.5	7,100.5	NUM
amfbr-346	203	183	1992	1992	NUM
amfbr-346	203	184	256.9	256.9	NUM
amfbr-346	203	185	68.2	68.2	NUM
amfbr-346	203	186	4751.4	4751.4	NUM
amfbr-346	203	187	18,494	18,494	NUM
amfbr-346	203	188	69,670	69,670	NUM
amfbr-346	203	189	36573.1	36573.1	NUM
amfbr-346	203	190	6,337.7	6,337.7	NUM
amfbr-346	203	191	7,336.6	7,336.6	NUM
amfbr-346	203	192	1993	1993	NUM
amfbr-346	203	193	260.3	260.3	NUM
amfbr-346	203	194	68.5	68.5	NUM
amfbr-346	203	195	4911.9	4911.9	NUM
amfbr-346	203	196	18,872	18,872	NUM
amfbr-346	203	197	71,709	71,709	NUM
amfbr-346	203	198	36929.5	36929.5	NUM
amfbr-346	203	199	6,657.4	6,657.4	NUM
amfbr-346	203	200	7,532.7	7,532.7	NUM
amfbr-346	203	201	1994	1994	NUM
amfbr-346	203	202	263.5	263.5	NUM
amfbr-346	203	203	69.3	69.3	NUM
amfbr-346	203	204	5151.8	5151.8	NUM
amfbr-346	203	205	19,555	19,555	NUM
amfbr-346	203	206	74,341	74,341	NUM
amfbr-346	203	207	38781.9	38781.9	NUM
amfbr-346	203	208	7,072.2	7,072.2	NUM
amfbr-346	203	209	7,835.5	7,835.5	NUM
amfbr-346	203	210	1995	1995	NUM
amfbr-346	203	211	266.6	266.6	NUM
amfbr-346	203	212	69.6	69.6	NUM
amfbr-346	203	213	5408.2	5408.2	NUM
amfbr-346	203	214	20,287	20,287	NUM
amfbr-346	203	215	77,705	77,705	NUM
amfbr-346	203	216	40610.6	40610.6	NUM
amfbr-346	203	217	7,397.7	7,397.7	NOUN
amfbr-346	203	218	8,031.7	8,031.7	NUM
amfbr-346	203	219	1996	1996	NUM
amfbr-346	203	220	269.7	269.7	NUM
amfbr-346	203	221	70.2	70.2	NUM
amfbr-346	203	222	5688.5	5688.5	NUM
amfbr-346	203	223	21,091	21,091	NUM
amfbr-346	203	224	81,033	81,033	NUM
amfbr-346	203	225	42300.2	42300.2	NUM
amfbr-346	203	226	7,816.9	7,816.9	NUM
amfbr-346	203	227	8,328.9	8,328.9	NUM
amfbr-346	203	228	1997	1997	NUM
amfbr-346	203	229	273.0	273.0	NUM
amfbr-346	203	230	70.9	70.9	NUM
amfbr-346	203	231	5988.8	5988.8	NUM
amfbr-346	203	232	21,940	21,940	NUM
amfbr-346	203	233	84,467	84,467	NUM
amfbr-346	203	234	44568.2	44568.2	NUM
amfbr-346	203	235	8,304.3	8,304.3	NUM
amfbr-346	203	236	8,703.5	8,703.5	NUM
amfbr-346	203	237	1998	1998	NUM
amfbr-346	203	238	276.2	276.2	NUM
amfbr-346	203	239	71.6	71.6	NUM
amfbr-346	203	240	6395.9	6395.9	NUM
amfbr-346	203	241	23,161	23,161	NUM
amfbr-346	203	242	89,330	89,330	NUM
amfbr-346	203	243	46736.8	46736.8	NUM
amfbr-346	203	244	8,747.0	8,747.0	NUM
amfbr-346	203	245	9,066.9	9,066.9	NUM
amfbr-346	203	246	1999	1999	NUM
amfbr-346	203	247	279.3	279.3	NUM
amfbr-346	203	248	73.2	73.2	NUM
amfbr-346	203	249	6695.0	6695.0	NUM
amfbr-346	203	250	23,968	23,968	NUM
amfbr-346	203	251	91,461	91,461	NUM
amfbr-346	203	252	48789.3	48789.3	NUM
amfbr-346	203	253	9,268.4	9,268.4	NUM
amfbr-346	203	254	9,470.3	9,470.3	NUM
amfbr-346	203	255	2000	2000	NUM
amfbr-346	203	256	282.5	282.5	NUM
amfbr-346	203	257	73.8	73.8	NUM
amfbr-346	203	258	7194.0	7194.0	NUM
amfbr-346	203	259	25,467	25,467	NUM
amfbr-346	203	260	97,478	97,478	NUM
amfbr-346	203	261	50731.7	50731.7	NUM
amfbr-346	203	262	9,817.0	9,817.0	NUM
amfbr-346	203	263	9,817.0	9,817.0	NUM
amfbr-346	203	264	2001	2001	NUM
amfbr-346	203	265	285.6	285.6	NUM
amfbr-346	203	266	74.3	74.3	NUM
amfbr-346	203	267	7469.4	7469.4	NUM
amfbr-346	203	268	26,156	26,156	NUM
amfbr-346	203	269	100,531	100,531	NUM
amfbr-346	203	270	51407.4	51407.4	NUM
amfbr-346	203	271	10,100.8	10,100.8	NOUN
amfbr-346	203	272	9,866.6	9,866.6	NUM
amfbr-346	203	273	2002	2002	NUM
amfbr-346	203	274	288.6	288.6	NUM
amfbr-346	203	275	75.6	75.6	NUM
amfbr-346	203	276	7857.2	7857.2	NUM
amfbr-346	203	277	27,223	27,223	NUM
amfbr-346	203	278	103,932	103,932	NUM
amfbr-346	203	279	51680.0	51680.0	NUM
amfbr-346	203	280	10,480.8	10,480.8	NUM
amfbr-346	203	281	10,083.0	10,083.0	NUM
amfbr-346	203	282	2003	2003	NUM
amfbr-346	203	283	290.5	290.5	NUM
amfbr-346	203	284	8039.2	8039.2	NUM
amfbr-346	203	285	27,675	27,675	NUM
amfbr-346	203	286	10,735.8	10,735.8	NUM
amfbr-346	203	287	10,210.4	10,210.4	NUM
amfbr-346	203	288	http://www.gpoaccess.gov/eop/	http://www.gpoaccess.gov/eop/	AUX
amfbr-346	203	289	10,000	10,000	NUM
amfbr-346	203	290	30,000	30,000	NUM
amfbr-346	203	291	50,000	50,000	NUM
amfbr-346	203	292	70,000	70,000	NUM
amfbr-346	203	293	90,000	90,000	NUM
amfbr-346	203	294	110,000	110,000	NUM
amfbr-346	203	295	$	$	NUM
amfbr-346	203	296	year	year	NOUN
amfbr-346	203	297	family	family	NOUN
amfbr-346	203	298	median	median	NOUN
amfbr-346	203	299	and	and	CCONJ
amfbr-346	203	300	mean	mean	ADJ
amfbr-346	203	301	income	income	NOUN
amfbr-346	203	302	per	per	ADP
amfbr-346	203	303	family	family	NOUN
amfbr-346	203	304	disposable	disposable	ADJ
amfbr-346	203	305	income	income	NOUN
amfbr-346	203	306	$	$	NOUN
amfbr-346	203	307	family	family	NOUN
amfbr-346	203	308	median	median	ADJ
amfbr-346	203	309	income	income	NOUN
amfbr-346	203	310	current	current	ADJ
amfbr-346	204	1	$	$	SYM
amfbr-346	204	2	http://www.gpoaccess.gov/eop/	http://www.gpoaccess.gov/eop/	VERB
amfbr-346	204	3	copyright	copyright	NOUN
amfbr-346	204	4	©	©	PROPN
amfbr-346	204	5	cc	cc	NOUN
amfbr-346	204	6	-	-	PUNCT
amfbr-346	204	7	by	by	ADP
amfbr-346	204	8	-	-	PUNCT
amfbr-346	204	9	nc	nc	PROPN
amfbr-346	204	10	2019	2019	NUM
amfbr-346	204	11	,	,	PUNCT
amfbr-346	204	12	cribfb	cribfb	PROPN
amfbr-346	204	13	|	|	ADV
amfbr-346	204	14	amfbr	amfbr	ADJ
amfbr-346	204	15	www.cribfb.com/journal/index.php/amfbr	www.cribfb.com/journal/index.php/amfbr	PROPN
amfbr-346	204	16	american	american	PROPN
amfbr-346	204	17	finance	finance	PROPN
amfbr-346	204	18	&	&	CCONJ
amfbr-346	204	19	banking	banking	PROPN
amfbr-346	204	20	review	review	PROPN
amfbr-346	204	21	vol	vol	NOUN
amfbr-346	204	22	.	.	PROPN
amfbr-346	205	1	4	4	NUM
amfbr-346	205	2	,	,	PUNCT
amfbr-346	205	3	no	no	INTJ
amfbr-346	205	4	.	.	NOUN
amfbr-346	205	5	2	2	NUM
amfbr-346	205	6	;	;	PUNCT
amfbr-346	205	7	2019	2019	NUM
amfbr-346	205	8	19	19	NUM
amfbr-346	205	9	table	table	NOUN
amfbr-346	205	10	2	2	NUM
amfbr-346	205	11	year	year	NOUN
amfbr-346	205	12	gupta	gupta	PROPN
amfbr-346	205	13	model	model	NOUN
amfbr-346	205	14	bidabad	bidabad	PROPN
amfbr-346	205	15	model	model	NOUN
amfbr-346	205	16	slottje	slottje	NOUN
amfbr-346	205	17	figures	figure	VERB
amfbr-346	205	18	a	a	DET
amfbr-346	205	19	gini	gini	PROPN
amfbr-346	205	20	kakwani	kakwani	PROPN
amfbr-346	205	21	a	a	DET
amfbr-346	205	22	b	b	PROPN
amfbr-346	205	23	gini	gini	PROPN
amfbr-346	205	24	kakwani	kakwani	PROPN
amfbr-346	205	25	gini	gini	PROPN
amfbr-346	205	26	kakwani	kakwani	PROPN
amfbr-346	205	27	1977	1977	NUM
amfbr-346	206	1	7.938	7.938	NUM
amfbr-346	206	2	0.442	0.442	NUM
amfbr-346	206	3	0.172	0.172	NUM
amfbr-346	206	4	5.798	5.798	NUM
amfbr-346	206	5	1.214	1.214	NUM
amfbr-346	206	6	0.438	0.438	NUM
amfbr-346	206	7	0.170	0.170	NUM
amfbr-346	206	8	0.426	0.426	NUM
amfbr-346	206	9	0.109	0.109	NUM
amfbr-346	206	10	1978	1978	NUM
amfbr-346	206	11	8.080	8.080	NUM
amfbr-346	206	12	0.444	0.444	NUM
amfbr-346	206	13	0.173	0.173	NUM
amfbr-346	206	14	5.899	5.899	NUM
amfbr-346	206	15	1.214	1.214	NUM
amfbr-346	206	16	0.441	0.441	NUM
amfbr-346	206	17	0.172	0.172	NUM
amfbr-346	206	18	0.427	0.427	NUM
amfbr-346	206	19	0.108	0.108	NUM
amfbr-346	206	20	1979	1979	NUM
amfbr-346	206	21	7.484	7.484	NUM
amfbr-346	206	22	0.434	0.434	NUM
amfbr-346	206	23	0.166	0.166	NUM
amfbr-346	206	24	5.475	5.475	NUM
amfbr-346	206	25	1.212	1.212	NUM
amfbr-346	206	26	0.430	0.430	NUM
amfbr-346	206	27	0.164	0.164	NUM
amfbr-346	206	28	0.427	0.427	NUM
amfbr-346	206	29	0.111	0.111	NUM
amfbr-346	206	30	1980	1980	NUM
amfbr-346	206	31	8.189	8.189	NUM
amfbr-346	206	32	0.446	0.446	NUM
amfbr-346	206	33	0.175	0.175	NUM
amfbr-346	206	34	5.978	5.978	NUM
amfbr-346	206	35	1.215	1.215	NUM
amfbr-346	206	36	0.442	0.442	NUM
amfbr-346	206	37	0.173	0.173	NUM
amfbr-346	206	38	0.428	0.428	NUM
amfbr-346	206	39	0.112	0.112	NUM
amfbr-346	206	40	1981	1981	NUM
amfbr-346	206	41	9.095	9.095	NUM
amfbr-346	206	42	0.456	0.456	NUM
amfbr-346	206	43	0.185	0.185	NUM
amfbr-346	206	44	6.631	6.631	NUM
amfbr-346	206	45	1.218	1.218	NUM
amfbr-346	206	46	0.546	0.546	NUM
amfbr-346	206	47	0.183	0.183	NUM
amfbr-346	206	48	0.435	0.435	NUM
amfbr-346	206	49	0.114	0.114	NUM
amfbr-346	206	50	1982	1982	NUM
amfbr-346	206	51	9.693	9.693	NUM
amfbr-346	206	52	0.467	0.467	NUM
amfbr-346	206	53	0.191	0.191	NUM
amfbr-346	206	54	7.064	7.064	NUM
amfbr-346	206	55	1.220	1.220	NUM
amfbr-346	206	56	0.464	0.464	NUM
amfbr-346	206	57	0.190	0.190	NUM
amfbr-346	206	58	0.447	0.447	NUM
amfbr-346	206	59	0.118	0.118	NUM
amfbr-346	206	60	1983	1983	NUM
amfbr-346	206	61	10.051	10.051	NUM
amfbr-346	206	62	0.471	0.471	NUM
amfbr-346	206	63	0.194	0.194	NUM
amfbr-346	206	64	7.324	7.324	NUM
amfbr-346	206	65	1.221	1.221	NUM
amfbr-346	206	66	0.469	0.469	NUM
amfbr-346	206	67	0.193	0.193	NUM
amfbr-346	206	68	0.447	0.447	NUM
amfbr-346	206	69	0.120	0.120	NUM
amfbr-346	206	70	1984	1984	NUM
amfbr-346	206	71	10.909	10.909	NUM
amfbr-346	206	72	0.481	0.481	NUM
amfbr-346	206	73	0.202	0.202	NUM
amfbr-346	206	74	7.952	7.952	NUM
amfbr-346	206	75	1.222	1.222	NUM
amfbr-346	206	76	0.479	0.479	NUM
amfbr-346	206	77	0.201	0.201	NUM
amfbr-346	206	78	0.449	0.449	NUM
amfbr-346	206	79	0.121	0.121	NUM
amfbr-346	206	80	1985	1985	NUM
amfbr-346	206	81	11.004	11.004	NUM
amfbr-346	206	82	0.482	0.482	NUM
amfbr-346	206	83	0.203	0.203	NUM
amfbr-346	206	84	8.021	8.021	NUM
amfbr-346	206	85	1.223	1.223	NUM
amfbr-346	206	86	0.480	0.480	NUM
amfbr-346	206	87	0.202	0.202	NUM
amfbr-346	206	88	1986	1986	NUM
amfbr-346	206	89	10.442	10.442	NUM
amfbr-346	206	90	0.476	0.476	NUM
amfbr-346	206	91	0.198	0.198	NUM
amfbr-346	206	92	7.609	7.609	NUM
amfbr-346	206	93	1.222	1.222	NUM
amfbr-346	206	94	0.473	0.473	NUM
amfbr-346	206	95	0.197	0.197	NUM
amfbr-346	206	96	1987	1987	NUM
amfbr-346	206	97	10.175	10.175	NUM
amfbr-346	206	98	0.473	0.473	NUM
amfbr-346	206	99	0.196	0.196	NUM
amfbr-346	206	100	7.416	7.416	NUM
amfbr-346	206	101	1.221	1.221	NUM
amfbr-346	206	102	0.470	0.470	NUM
amfbr-346	206	103	0.194	0.194	NUM
amfbr-346	206	104	1988	1988	NUM
amfbr-346	206	105	11.123	11.123	NUM
amfbr-346	206	106	0.483	0.483	NUM
amfbr-346	206	107	0.204	0.204	NUM
amfbr-346	206	108	8.110	8.110	NUM
amfbr-346	206	109	1.223	1.223	NUM
amfbr-346	206	110	0.481	0.481	NUM
amfbr-346	206	111	0.203	0.203	NUM
amfbr-346	206	112	1989	1989	NUM
amfbr-346	206	113	11.269	11.269	NUM
amfbr-346	206	114	0.485	0.485	NUM
amfbr-346	206	115	0.205	0.205	NUM
amfbr-346	206	116	8.216	8.216	NUM
amfbr-346	206	117	1.223	1.223	NUM
amfbr-346	206	118	0.482	0.482	NUM
amfbr-346	206	119	0.204	0.204	NUM
amfbr-346	206	120	1990	1990	NUM
amfbr-346	206	121	12.137	12.137	NUM
amfbr-346	206	122	0.493	0.493	NUM
amfbr-346	206	123	0.212	0.212	NUM
amfbr-346	206	124	8.858	8.858	NUM
amfbr-346	206	125	1.224	1.224	NUM
amfbr-346	206	126	0.491	0.491	NUM
amfbr-346	206	127	0.211	0.211	NUM
amfbr-346	206	128	1991	1991	NUM
amfbr-346	206	129	12.493	12.493	NUM
amfbr-346	206	130	0.496	0.496	NUM
amfbr-346	206	131	0.215	0.215	NUM
amfbr-346	206	132	9.122	9.122	NUM
amfbr-346	206	133	1.225	1.225	NUM
amfbr-346	206	134	0.494	0.494	NUM
amfbr-346	206	135	0.214	0.214	NUM
amfbr-346	206	136	1992	1992	NUM
amfbr-346	206	137	13.518	13.518	NUM
amfbr-346	206	138	0.505	0.505	NUM
amfbr-346	206	139	0.222	0.222	NUM
amfbr-346	206	140	9.886	9.886	NUM
amfbr-346	206	141	1.226	1.226	NUM
amfbr-346	206	142	0.503	0.503	NUM
amfbr-346	206	143	0.221	0.221	NUM
amfbr-346	206	144	1993	1993	NUM
amfbr-346	206	145	14.207	14.207	NUM
amfbr-346	206	146	0.510	0.510	NUM
amfbr-346	206	147	0.226	0.226	NUM
amfbr-346	206	148	10.403	10.403	NUM
amfbr-346	206	149	1.226	1.226	NUM
amfbr-346	206	150	0.509	0.509	NUM
amfbr-346	206	151	0.226	0.226	NUM
amfbr-346	206	152	1994	1994	NUM
amfbr-346	206	153	13.741	13.741	NUM
amfbr-346	206	154	0.507	0.507	NUM
amfbr-346	206	155	0.223	0.223	NUM
amfbr-346	206	156	10.052	10.052	NUM
amfbr-346	206	157	1.226	1.226	NUM
amfbr-346	206	158	0.505	0.505	NUM
amfbr-346	206	159	0.223	0.223	NUM
amfbr-346	206	160	1995	1995	NUM
amfbr-346	206	161	13.676	13.676	NUM
amfbr-346	206	162	0.506	0.506	NUM
amfbr-346	206	163	0.223	0.223	NUM
amfbr-346	206	164	10.004	10.004	NUM
amfbr-346	206	165	1.223	1.223	NUM
amfbr-346	206	166	0.504	0.504	NUM
amfbr-346	206	167	0.222	0.222	NUM
amfbr-346	206	168	1996	1996	NUM
amfbr-346	206	169	13.717	13.717	NUM
amfbr-346	206	170	0.507	0.507	NUM
amfbr-346	206	171	0.223	0.223	NUM
amfbr-346	206	172	10.034	10.034	NUM
amfbr-346	206	173	1.226	1.226	NUM
amfbr-346	206	174	0.505	0.505	NUM
amfbr-346	206	175	0.222	0.222	NUM
amfbr-346	206	176	1997	1997	NUM
amfbr-346	206	177	13.339	13.339	NUM
amfbr-346	206	178	0.504	0.504	NUM
amfbr-346	206	179	0.221	0.221	NUM
amfbr-346	206	180	9.751	9.751	NUM
amfbr-346	206	181	1.226	1.226	NUM
amfbr-346	206	182	0.502	0.502	NUM
amfbr-346	206	183	0.220	0.220	NUM
amfbr-346	206	184	1998	1998	NUM
amfbr-346	206	185	13.637	13.637	NUM
amfbr-346	206	186	0.506	0.506	NUM
amfbr-346	206	187	0.223	0.223	NUM
amfbr-346	206	188	9.973	9.973	NUM
amfbr-346	206	189	1.226	1.226	NUM
amfbr-346	206	190	0.504	0.504	NUM
amfbr-346	206	191	0.222	0.222	NUM
amfbr-346	206	192	1999	1999	NUM
amfbr-346	206	193	12.962	12.962	NUM
amfbr-346	206	194	0.500	0.500	NUM
amfbr-346	206	195	0.218	0.218	NUM
amfbr-346	206	196	9.472	9.472	NUM
amfbr-346	206	197	1.225	1.225	NUM
amfbr-346	206	198	0.499	0.499	NUM
amfbr-346	206	199	0.217	0.217	NUM
amfbr-346	206	200	2000	2000	NUM
amfbr-346	206	201	13.825	13.825	NUM
amfbr-346	206	202	0.507	0.507	NUM
amfbr-346	206	203	0.224	0.224	NUM
amfbr-346	206	204	10.115	10.115	NUM
amfbr-346	206	205	1.226	1.226	NUM
amfbr-346	206	206	0.506	0.506	NUM
amfbr-346	206	207	0.223	0.223	NUM
amfbr-346	206	208	2001	2001	NUM
amfbr-346	206	209	14.470	14.470	NUM
amfbr-346	206	210	0.512	0.512	NUM
amfbr-346	206	211	0.229	0.229	NUM
amfbr-346	206	212	10.600	10.600	NUM
amfbr-346	206	213	1.226	1.226	NUM
amfbr-346	206	214	0.511	0.511	NUM
amfbr-346	206	215	0.227	0.227	NUM
amfbr-346	206	216	2002	2002	NUM
amfbr-346	206	217	15.759	15.759	NUM
amfbr-346	206	218	0.521	0.521	NUM
amfbr-346	206	219	0.235	0.235	NUM
amfbr-346	206	220	11.573	11.573	NUM
amfbr-346	206	221	1.227	1.227	NUM
amfbr-346	206	222	0.520	0.520	NUM
amfbr-346	206	223	0.235	0.235	NUM
amfbr-346	206	224	0.42	0.42	NUM
amfbr-346	206	225	0.44	0.44	NUM
amfbr-346	206	226	0.46	0.46	NUM
amfbr-346	206	227	0.48	0.48	NUM
amfbr-346	206	228	0.5	0.5	NUM
amfbr-346	206	229	0.52	0.52	NUM
amfbr-346	206	230	0.54	0.54	NUM
amfbr-346	206	231	g	g	NOUN
amfbr-346	206	232	in	in	ADP
amfbr-346	206	233	i	i	PRON
amfbr-346	206	234	in	in	ADP
amfbr-346	206	235	d	d	PROPN
amfbr-346	206	236	e	e	X
amfbr-346	206	237	x	x	PROPN
amfbr-346	206	238	year	year	NOUN
amfbr-346	206	239	comparision	comparision	NOUN
amfbr-346	206	240	of	of	ADP
amfbr-346	206	241	gini	gini	PROPN
amfbr-346	206	242	indices	index	NOUN
amfbr-346	206	243	gupta	gupta	PROPN
amfbr-346	206	244	bidabad	bidabad	VERB
amfbr-346	206	245	copyright	copyright	NOUN
amfbr-346	206	246	©	©	PROPN
amfbr-346	206	247	cc	cc	PROPN
amfbr-346	206	248	-	-	PUNCT
amfbr-346	206	249	by	by	ADP
amfbr-346	206	250	-	-	PUNCT
amfbr-346	206	251	nc	nc	PROPN
amfbr-346	206	252	2019	2019	NUM
amfbr-346	206	253	,	,	PUNCT
amfbr-346	206	254	cribfb	cribfb	PROPN
amfbr-346	206	255	|	|	ADV
amfbr-346	206	256	amfbr	amfbr	ADJ
amfbr-346	206	257	www.cribfb.com/journal/index.php/amfbr	www.cribfb.com/journal/index.php/amfbr	PROPN
amfbr-346	206	258	american	american	PROPN
amfbr-346	206	259	finance	finance	PROPN
amfbr-346	206	260	&	&	CCONJ
amfbr-346	206	261	banking	banking	PROPN
amfbr-346	206	262	review	review	PROPN
amfbr-346	206	263	vol	vol	NOUN
amfbr-346	206	264	.	.	PROPN
amfbr-346	207	1	4	4	NUM
amfbr-346	207	2	,	,	PUNCT
amfbr-346	207	3	no	no	INTJ
amfbr-346	207	4	.	.	NOUN
amfbr-346	207	5	2	2	NUM
amfbr-346	207	6	;	;	PUNCT
amfbr-346	207	7	2019	2019	NUM
amfbr-346	207	8	20	20	NUM
amfbr-346	207	9	the	the	DET
amfbr-346	207	10	following	follow	VERB
amfbr-346	207	11	graph	graph	NOUN
amfbr-346	207	12	compares	compare	VERB
amfbr-346	207	13	the	the	DET
amfbr-346	207	14	calculated	calculated	ADJ
amfbr-346	207	15	gini	gini	NOUN
amfbr-346	207	16	index	index	NOUN
amfbr-346	207	17	with	with	ADP
amfbr-346	207	18	real	real	ADJ
amfbr-346	207	19	gdp	gdp	NOUN
amfbr-346	207	20	for	for	ADP
amfbr-346	207	21	the	the	DET
amfbr-346	207	22	period	period	NOUN
amfbr-346	207	23	of	of	ADP
amfbr-346	207	24	1977	1977	NUM
amfbr-346	207	25	-	-	SYM
amfbr-346	207	26	2002	2002	NUM
amfbr-346	207	27	.	.	PUNCT
amfbr-346	208	1	dependent	dependent	ADJ
amfbr-346	208	2	variable	variable	NOUN
amfbr-346	208	3	:	:	PUNCT
amfbr-346	208	4	gini	gini	NOUN
amfbr-346	208	5	method	method	NOUN
amfbr-346	208	6	:	:	PUNCT
amfbr-346	208	7	least	least	ADJ
amfbr-346	208	8	squares	square	NOUN
amfbr-346	208	9	date	date	NOUN
amfbr-346	208	10	:	:	PUNCT
amfbr-346	208	11	06/23/19	06/23/19	NUM
amfbr-346	208	12	time	time	NOUN
amfbr-346	208	13	:	:	PUNCT
amfbr-346	208	14	17:44	17:44	NUM
amfbr-346	208	15	sample	sample	NOUN
amfbr-346	208	16	(	(	PUNCT
amfbr-346	208	17	adjusted	adjust	VERB
amfbr-346	208	18	):	):	PUNCT
amfbr-346	208	19	1979	1979	NUM
amfbr-346	208	20	2002	2002	NUM
amfbr-346	208	21	included	include	VERB
amfbr-346	208	22	observations	observation	NOUN
amfbr-346	208	23	:	:	PUNCT
amfbr-346	208	24	24	24	NUM
amfbr-346	208	25	after	after	ADP
amfbr-346	208	26	adjustments	adjustment	NOUN
amfbr-346	208	27	variable	variable	ADJ
amfbr-346	208	28	coefficient	coefficient	NOUN
amfbr-346	208	29	std	std	PROPN
amfbr-346	208	30	.	.	NOUN
amfbr-346	208	31	error	error	NOUN
amfbr-346	208	32	t	t	NOUN
amfbr-346	208	33	-	-	PUNCT
amfbr-346	208	34	statistic	statistic	NOUN
amfbr-346	208	35	prob	prob	NOUN
amfbr-346	208	36	.	.	PUNCT
amfbr-346	209	1	c	c	NOUN
amfbr-346	209	2	0.472788	0.472788	NUM
amfbr-346	209	3	0.009894	0.009894	NUM
amfbr-346	209	4	47.78343	47.78343	NUM
amfbr-346	209	5	0.0000	0.0000	NUM
amfbr-346	209	6	@trend	@trend	NOUN
amfbr-346	209	7	0.002299	0.002299	NUM
amfbr-346	209	8	0.000535	0.000535	NUM
amfbr-346	209	9	4.298753	4.298753	NUM
amfbr-346	209	10	0.0003	0.0003	NUM
amfbr-346	209	11	gdpgrowth(-1	gdpgrowth(-1	NOUN
amfbr-346	209	12	)	)	PUNCT
amfbr-346	209	13	-0.432267	-0.432267	NOUN
amfbr-346	209	14	0.191001	0.191001	NUM
amfbr-346	210	1	-2.263167	-2.263167	NOUN
amfbr-346	211	1	0.0343	0.0343	NUM
amfbr-346	211	2	r	r	NOUN
amfbr-346	211	3	-	-	PUNCT
amfbr-346	211	4	squared	square	VERB
amfbr-346	211	5	0.521663	0.521663	NUM
amfbr-346	211	6	mean	mean	NOUN
amfbr-346	211	7	dependent	dependent	ADJ
amfbr-346	211	8	var	var	NOUN
amfbr-346	211	9	0.490375	0.490375	NUM
amfbr-346	211	10	adjusted	adjusted	ADJ
amfbr-346	211	11	r	r	NOUN
amfbr-346	211	12	-	-	PUNCT
amfbr-346	211	13	squared	square	VERB
amfbr-346	211	14	0.476107	0.476107	NUM
amfbr-346	211	15	s.d	s.d	PROPN
amfbr-346	211	16	.	.	PUNCT
amfbr-346	212	1	dependent	dependent	ADJ
amfbr-346	212	2	var	var	NOUN
amfbr-346	212	3	0.025039	0.025039	NUM
amfbr-346	212	4	s.e	s.e	PROPN
amfbr-346	212	5	.	.	PROPN
amfbr-346	212	6	of	of	ADP
amfbr-346	212	7	regression	regression	NOUN
amfbr-346	212	8	0.018123	0.018123	NUM
amfbr-346	212	9	akaike	akaike	ADJ
amfbr-346	212	10	info	info	NOUN
amfbr-346	212	11	criterion	criterion	NOUN
amfbr-346	212	12	5.066782	5.066782	NUM
amfbr-346	212	13	sum	sum	NOUN
amfbr-346	212	14	squared	square	VERB
amfbr-346	212	15	resid	resid	NOUN
amfbr-346	212	16	0.006897	0.006897	NUM
amfbr-346	212	17	schwarz	schwarz	NOUN
amfbr-346	212	18	criterion	criterion	NOUN
amfbr-346	212	19	4.919525	4.919525	NUM
amfbr-346	212	20	log	log	NOUN
amfbr-346	212	21	likelihood	likelihood	NOUN
amfbr-346	212	22	63.80138	63.80138	NUM
amfbr-346	212	23	hannan	hannan	PROPN
amfbr-346	212	24	-	-	PUNCT
amfbr-346	212	25	quinn	quinn	PROPN
amfbr-346	212	26	criter	criter	NOUN
amfbr-346	212	27	.	.	PUNCT
amfbr-346	213	1	5.027714	5.027714	NUM
amfbr-346	213	2	f	f	NOUN
amfbr-346	213	3	-	-	PUNCT
amfbr-346	213	4	statistic	statistic	ADJ
amfbr-346	213	5	11.45105	11.45105	NUM
amfbr-346	213	6	durbin	durbin	ADJ
amfbr-346	213	7	-	-	PUNCT
amfbr-346	213	8	watson	watson	NOUN
amfbr-346	213	9	stat	stat	PROPN
amfbr-346	213	10	2.298751	2.298751	NUM
amfbr-346	213	11	prob(f	prob(f	NOUN
amfbr-346	213	12	-	-	PUNCT
amfbr-346	213	13	statistic	statistic	NOUN
amfbr-346	213	14	)	)	PUNCT
amfbr-346	213	15	0.000434	0.000434	NUM
amfbr-346	213	16	as	as	ADP
amfbr-346	213	17	the	the	DET
amfbr-346	213	18	countercyclical	countercyclical	ADJ
amfbr-346	213	19	movement	movement	NOUN
amfbr-346	213	20	of	of	ADP
amfbr-346	213	21	gini	gini	PROPN
amfbr-346	213	22	index	index	PROPN
amfbr-346	213	23	and	and	CCONJ
amfbr-346	213	24	gdp	gdp	NOUN
amfbr-346	213	25	is	be	AUX
amfbr-346	213	26	understandable	understandable	ADJ
amfbr-346	213	27	from	from	ADP
amfbr-346	213	28	the	the	DET
amfbr-346	213	29	above	above	ADJ
amfbr-346	213	30	graph	graph	NOUN
amfbr-346	213	31	,	,	PUNCT
amfbr-346	213	32	the	the	DET
amfbr-346	213	33	above	above	ADJ
amfbr-346	213	34	simple	simple	ADJ
amfbr-346	213	35	regression	regression	NOUN
amfbr-346	213	36	between	between	ADP
amfbr-346	213	37	gini	gini	PROPN
amfbr-346	213	38	index	index	NOUN
amfbr-346	213	39	and	and	CCONJ
amfbr-346	213	40	the	the	DET
amfbr-346	213	41	growth	growth	NOUN
amfbr-346	213	42	of	of	ADP
amfbr-346	213	43	gdp	gdp	NOUN
amfbr-346	213	44	of	of	ADP
amfbr-346	213	45	usa	usa	PROPN
amfbr-346	213	46	with	with	ADP
amfbr-346	213	47	one	one	NUM
amfbr-346	213	48	lag	lag	NOUN
amfbr-346	213	49	also	also	ADV
amfbr-346	213	50	proves	prove	VERB
amfbr-346	213	51	this	this	DET
amfbr-346	213	52	phenomenon	phenomenon	NOUN
amfbr-346	213	53	.	.	PUNCT
amfbr-346	214	1	the	the	DET
amfbr-346	214	2	parameters	parameter	NOUN
amfbr-346	214	3	are	be	AUX
amfbr-346	214	4	meaningful	meaningful	ADJ
amfbr-346	214	5	and	and	CCONJ
amfbr-346	214	6	the	the	DET
amfbr-346	214	7	t	t	PROPN
amfbr-346	214	8	statistics	statistic	NOUN
amfbr-346	214	9	and	and	CCONJ
amfbr-346	214	10	other	other	ADJ
amfbr-346	214	11	statistics	statistic	NOUN
amfbr-346	214	12	are	be	AUX
amfbr-346	214	13	all	all	ADV
amfbr-346	214	14	significant	significant	ADJ
amfbr-346	214	15	.	.	PUNCT
amfbr-346	215	1	0.42	0.42	NUM
amfbr-346	215	2	0.44	0.44	NUM
amfbr-346	215	3	0.46	0.46	NUM
amfbr-346	215	4	0.48	0.48	NUM
amfbr-346	215	5	0.50	0.50	NUM
amfbr-346	215	6	0.52	0.52	NUM
amfbr-346	215	7	2,000	2,000	NUM
amfbr-346	215	8	3,000	3,000	NUM
amfbr-346	215	9	4,000	4,000	NUM
amfbr-346	215	10	5,000	5,000	NUM
amfbr-346	215	11	6,000	6,000	NUM
amfbr-346	215	12	7,000	7,000	NUM
amfbr-346	215	13	8,000	8,000	NUM
amfbr-346	215	14	9,000	9,000	NUM
amfbr-346	215	15	10,000	10,000	NUM
amfbr-346	215	16	11,000	11,000	NUM
amfbr-346	215	17	1	1	NUM
amfbr-346	215	18	9	9	NUM
amfbr-346	215	19	7	7	NUM
amfbr-346	215	20	7	7	NUM
amfbr-346	215	21	1	1	NUM
amfbr-346	215	22	9	9	NUM
amfbr-346	215	23	7	7	NUM
amfbr-346	215	24	9	9	NUM
amfbr-346	215	25	1	1	NUM
amfbr-346	215	26	9	9	NUM
amfbr-346	215	27	8	8	NUM
amfbr-346	215	28	1	1	NUM
amfbr-346	215	29	1	1	NUM
amfbr-346	215	30	9	9	NUM
amfbr-346	215	31	8	8	NUM
amfbr-346	215	32	3	3	NUM
amfbr-346	215	33	1	1	NUM
amfbr-346	215	34	9	9	NUM
amfbr-346	215	35	8	8	NUM
amfbr-346	215	36	5	5	NUM
amfbr-346	215	37	1	1	NUM
amfbr-346	215	38	9	9	NUM
amfbr-346	215	39	8	8	NUM
amfbr-346	215	40	7	7	NUM
amfbr-346	215	41	1	1	NUM
amfbr-346	215	42	9	9	NUM
amfbr-346	215	43	8	8	NUM
amfbr-346	215	44	9	9	NUM
amfbr-346	215	45	1	1	NUM
amfbr-346	215	46	9	9	NUM
amfbr-346	215	47	9	9	NUM
amfbr-346	215	48	1	1	NUM
amfbr-346	215	49	1	1	NUM
amfbr-346	215	50	9	9	NUM
amfbr-346	215	51	9	9	NUM
amfbr-346	215	52	3	3	NUM
amfbr-346	215	53	1	1	NUM
amfbr-346	215	54	9	9	NUM
amfbr-346	215	55	9	9	NUM
amfbr-346	215	56	5	5	NUM
amfbr-346	215	57	1	1	NUM
amfbr-346	215	58	9	9	NUM
amfbr-346	215	59	9	9	NUM
amfbr-346	215	60	7	7	NUM
amfbr-346	215	61	1	1	NUM
amfbr-346	215	62	9	9	NUM
amfbr-346	215	63	9	9	NUM
amfbr-346	215	64	9	9	NUM
amfbr-346	215	65	2	2	NUM
amfbr-346	215	66	0	0	NUM
amfbr-346	215	67	0	0	NUM
amfbr-346	215	68	1	1	NUM
amfbr-346	215	69	2	2	NUM
amfbr-346	215	70	0	0	NUM
amfbr-346	215	71	0	0	NUM
amfbr-346	215	72	3	3	NUM
amfbr-346	215	73	$	$	NUM
amfbr-346	215	74	year	year	NOUN
amfbr-346	215	75	income	income	NOUN
amfbr-346	215	76	distribution	distribution	NOUN
amfbr-346	215	77	and	and	CCONJ
amfbr-346	215	78	gdp	gdp	PROPN
amfbr-346	215	79	gdp	gdp	PROPN
amfbr-346	215	80	gini	gini	PROPN
amfbr-346	215	81	copyright	copyright	PROPN
amfbr-346	215	82	©	©	PROPN
amfbr-346	215	83	cc	cc	PROPN
amfbr-346	215	84	-	-	PUNCT
amfbr-346	215	85	by	by	ADP
amfbr-346	215	86	-	-	PUNCT
amfbr-346	215	87	nc	nc	PROPN
amfbr-346	215	88	2019	2019	NUM
amfbr-346	215	89	,	,	PUNCT
amfbr-346	215	90	cribfb	cribfb	PROPN
amfbr-346	215	91	|	|	ADV
amfbr-346	215	92	amfbr	amfbr	ADJ
amfbr-346	215	93	www.cribfb.com/journal/index.php/amfbr	www.cribfb.com/journal/index.php/amfbr	PROPN
amfbr-346	215	94	american	american	PROPN
amfbr-346	215	95	finance	finance	PROPN
amfbr-346	215	96	&	&	CCONJ
amfbr-346	215	97	banking	banking	PROPN
amfbr-346	215	98	review	review	PROPN
amfbr-346	215	99	vol	vol	NOUN
amfbr-346	215	100	.	.	PROPN
amfbr-346	216	1	4	4	NUM
amfbr-346	216	2	,	,	PUNCT
amfbr-346	216	3	no	no	INTJ
amfbr-346	216	4	.	.	NOUN
amfbr-346	216	5	2	2	NUM
amfbr-346	216	6	;	;	PUNCT
amfbr-346	216	7	2019	2019	NUM
amfbr-346	216	8	21	21	NUM
amfbr-346	216	9	(	(	PUNCT
amfbr-346	216	10	using	use	VERB
amfbr-346	216	11	sample	sample	NOUN
amfbr-346	216	12	mean	mean	NOUN
amfbr-346	216	13	and	and	CCONJ
amfbr-346	216	14	median	median	ADJ
amfbr-346	216	15	)	)	PUNCT
amfbr-346	216	16	calculations	calculation	NOUN
amfbr-346	216	17	for	for	ADP
amfbr-346	216	18	2002	2002	NUM
amfbr-346	216	19	usa	usa	PROPN
amfbr-346	216	20	data	data	PROPN
amfbr-346	216	21	continuous	continuous	ADJ
amfbr-346	216	22	l	l	NOUN
amfbr-346	216	23	norm	norm	NOUN
amfbr-346	216	24	estimation	estimation	NOUN
amfbr-346	216	25	of	of	ADP
amfbr-346	216	26	lorenz	lorenz	PROPN
amfbr-346	216	27	curve	curve	PROPN
amfbr-346	216	28	bijan	bijan	PROPN
amfbr-346	216	29	bidabad	bidabad	VERB
amfbr-346	216	30	this	this	DET
amfbr-346	216	31	program	program	NOUN
amfbr-346	216	32	has	have	AUX
amfbr-346	216	33	been	be	AUX
amfbr-346	216	34	coded	code	VERB
amfbr-346	216	35	for	for	ADP
amfbr-346	216	36	mathcad	mathcad	PROPN
amfbr-346	216	37	11	11	NUM
amfbr-346	216	38	mean	mean	NOUN
amfbr-346	216	39	=	=	NOUN
amfbr-346	216	40	sample	sample	NOUN
amfbr-346	216	41	mean	mean	NOUN
amfbr-346	216	42	of	of	ADP
amfbr-346	216	43	income	income	NOUN
amfbr-346	216	44	distribution	distribution	NOUN
amfbr-346	216	45	:	:	PUNCT
amfbr-346	216	46	med	med	ADJ
amfbr-346	216	47	=	=	PUNCT
amfbr-346	216	48	sample	sample	NOUN
amfbr-346	216	49	median	median	NOUN
amfbr-346	216	50	of	of	ADP
amfbr-346	216	51	income	income	NOUN
amfbr-346	216	52	distribution	distribution	NOUN
amfbr-346	216	53	:	:	PUNCT
amfbr-346	216	54	calculation	calculation	NOUN
amfbr-346	216	55	of	of	ADP
amfbr-346	216	56	log	log	NOUN
amfbr-346	216	57	-	-	PUNCT
amfbr-346	216	58	normal	normal	ADJ
amfbr-346	216	59	density	density	NOUN
amfbr-346	216	60	function	function	NOUN
amfbr-346	216	61	parameters	parameter	NOUN
amfbr-346	216	62	m	m	VERB
amfbr-346	216	63	and	and	CCONJ
amfbr-346	216	64	s	s	VERB
amfbr-346	216	65	according	accord	VERB
amfbr-346	216	66	to	to	ADP
amfbr-346	216	67	sample	sample	NOUN
amfbr-346	216	68	mean	mean	NOUN
amfbr-346	216	69	and	and	CCONJ
amfbr-346	216	70	median	median	ADJ
amfbr-346	216	71	log	log	NOUN
amfbr-346	216	72	-	-	PUNCT
amfbr-346	216	73	normal	normal	ADJ
amfbr-346	216	74	probability_density	probability_density	NOUN
amfbr-346	216	75	function	function	NOUN
amfbr-346	216	76	selective	selective	ADJ
amfbr-346	216	77	range	range	NOUN
amfbr-346	216	78	for_log	for_log	ADJ
amfbr-346	216	79	-	-	PUNCT
amfbr-346	216	80	normal	normal	ADJ
amfbr-346	216	81	plot	plot	NOUN
amfbr-346	216	82	,	,	PUNCT
amfbr-346	216	83	values	value	NOUN
amfbr-346	216	84	of_increment	of_increment	NOUN
amfbr-346	216	85	and	and	CCONJ
amfbr-346	216	86	upper	upper	ADJ
amfbr-346	216	87	bound_may	bound_may	AUX
amfbr-346	216	88	be	be	AUX
amfbr-346	216	89	changed	change	VERB
amfbr-346	216	90	log	log	NOUN
amfbr-346	216	91	-	-	PUNCT
amfbr-346	216	92	normal	normal	ADJ
amfbr-346	216	93	plot	plot	NOUN
amfbr-346	216	94	precision	precision	NOUN
amfbr-346	216	95	tolerance	tolerance	NOUN
amfbr-346	216	96	level	level	NOUN
amfbr-346	216	97	tol	tol	NOUN
amfbr-346	216	98	value	value	NOUN
amfbr-346	216	99	should	should	AUX
amfbr-346	216	100	be	be	AUX
amfbr-346	216	101	_	_	PUNCT
amfbr-346	216	102	changed	change	VERB
amfbr-346	216	103	for	for	ADP
amfbr-346	216	104	more	more	ADJ
amfbr-346	216	105	_	_	NOUN
amfbr-346	216	106	accurate	accurate	ADJ
amfbr-346	216	107	solutions,_(less	solutions,_(less	ADJ
amfbr-346	216	108	tol	tol	NOUN
amfbr-346	216	109	=	=	SYM
amfbr-346	216	110	higher	high	ADJ
amfbr-346	216	111	precision	precision	NOUN
amfbr-346	216	112	)	)	PUNCT
amfbr-346	216	113	(	(	PUNCT
amfbr-346	216	114	45	45	NUM
amfbr-346	216	115	)	)	PUNCT
amfbr-346	216	116	(	(	PUNCT
amfbr-346	216	117	44	44	NUM
amfbr-346	216	118	)	)	PUNCT
amfbr-346	216	119	mean	mean	NOUN
amfbr-346	216	120	103932	103932	NUM
amfbr-346	216	121	med	med	ADJ
amfbr-346	216	122	51680	51680	NUM
amfbr-346	216	123			NUM
amfbr-346	216	124	2	2	NUM
amfbr-346	216	125	ln	ln	ADJ
amfbr-346	216	126	mean	mean	NOUN
amfbr-346	216	127	med	med	ADJ
amfbr-346	216	128			NOUN
amfbr-346	216	129			PROPN
amfbr-346	217	1			PROPN
amfbr-346	217	2			ADJ
amfbr-346	217	3			PROPN
amfbr-346	217	4			NOUN
amfbr-346	217	5			PART
amfbr-346	217	6			NOUN
amfbr-346	217	7	1.18209	1.18209	NUM
amfbr-346	217	8			NOUN
amfbr-346	218	1	ln	ln	NOUN
amfbr-346	218	2	m	m	VERB
amfbr-346	218	3	ed	ed	NOUN
amfbr-346	218	4	(	(	PUNCT
amfbr-346	218	5	)	)	PUNCT
amfbr-346	218	6			ADJ
amfbr-346	218	7			NOUN
amfbr-346	219	1	10.85283	10.85283	NUM
amfbr-346	220	1	f	f	X
amfbr-346	220	2	w	w	PROPN
amfbr-346	220	3	(	(	PUNCT
amfbr-346	220	4	)	)	PUNCT
amfbr-346	220	5	1	1	NUM
amfbr-346	220	6	w	w	X
amfbr-346	220	7			PROPN
amfbr-346	220	8	2	2	NUM
amfbr-346	220	9			NUM
amfbr-346	221	1			NOUN
amfbr-346	222	1			PROPN
amfbr-346	223	1			PROPN
amfbr-346	223	2			ADJ
amfbr-346	223	3			PROPN
amfbr-346	223	4			NOUN
amfbr-346	223	5	exp	exp	VERB
amfbr-346	223	6	ln	ln	PROPN
amfbr-346	223	7	w	w	PROPN
amfbr-346	223	8	(	(	PUNCT
amfbr-346	223	9	)	)	PUNCT
amfbr-346	223	10			NOUN
amfbr-346	223	11	2	2	X
amfbr-346	223	12	2	2	NUM
amfbr-346	223	13			PROPN
amfbr-346	223	14	2	2	NUM
amfbr-346	223	15			NUM
amfbr-346	223	16			PROPN
amfbr-346	223	17			NOUN
amfbr-346	223	18			NOUN
amfbr-346	223	19			NOUN
amfbr-346	223	20			NOUN
amfbr-346	223	21			PROPN
amfbr-346	223	22			PROPN
amfbr-346	223	23			PROPN
amfbr-346	223	24			PROPN
amfbr-346	223	25	w	w	PROPN
amfbr-346	223	26	10	10	NUM
amfbr-346	223	27	5	5	NUM
amfbr-346	223	28	m	m	NOUN
amfbr-346	223	29	ean	ean	VERB
amfbr-346	223	30	200	200	NUM
amfbr-346	223	31			NUM
amfbr-346	223	32	2	2	NUM
amfbr-346	223	33	m	m	NOUN
amfbr-346	223	34	ean	ean	PROPN
amfbr-346	223	35	f	f	PROPN
amfbr-346	223	36	w	w	PROPN
amfbr-346	223	37	(	(	PUNCT
amfbr-346	223	38	)	)	PUNCT
amfbr-346	223	39	w	w	NOUN
amfbr-346	223	40	tol	tol	NOUN
amfbr-346	223	41	0.00001	0.00001	PROPN
amfbr-346	224	1	y	y	PROPN
amfbr-346	224	2	v	v	PROPN
amfbr-346	224	3	(	(	PUNCT
amfbr-346	224	4	)	)	PUNCT
amfbr-346	224	5	1	1	NUM
amfbr-346	224	6	m	m	NOUN
amfbr-346	224	7	ean	ean	VERB
amfbr-346	224	8			NOUN
amfbr-346	224	9			PROPN
amfbr-346	225	1			PROPN
amfbr-346	225	2			ADJ
amfbr-346	225	3			PRON
amfbr-346	226	1			NOUN
amfbr-346	226	2	0	0	NUM
amfbr-346	226	3	v	v	NOUN
amfbr-346	226	4	ww	ww	PROPN
amfbr-346	226	5	f	f	PROPN
amfbr-346	226	6	w	w	PROPN
amfbr-346	226	7	(	(	PUNCT
amfbr-346	226	8	)	)	PUNCT
amfbr-346	226	9			NUM
amfbr-346	226	10			NOUN
amfbr-346	226	11			VERB
amfbr-346	226	12			PROPN
amfbr-346	226	13	d	d	PROPN
amfbr-346	226	14	x	x	PUNCT
amfbr-346	227	1	v	v	NOUN
amfbr-346	227	2	(	(	PUNCT
amfbr-346	227	3	)	)	PUNCT
amfbr-346	227	4	0.00001	0.00001	NUM
amfbr-346	227	5	v	v	NUM
amfbr-346	227	6	wf	wf	PROPN
amfbr-346	227	7	w	w	PROPN
amfbr-346	227	8	(	(	PUNCT
amfbr-346	227	9	)	)	PUNCT
amfbr-346	227	10			NOUN
amfbr-346	227	11			VERB
amfbr-346	227	12			PROPN
amfbr-346	227	13	d	d	PROPN
amfbr-346	227	14	copyright	copyright	NOUN
amfbr-346	228	1	©	©	PROPN
amfbr-346	228	2	cc	cc	PROPN
amfbr-346	228	3	-	-	PUNCT
amfbr-346	228	4	by	by	ADP
amfbr-346	228	5	-	-	PUNCT
amfbr-346	228	6	nc	nc	PROPN
amfbr-346	228	7	2019	2019	NUM
amfbr-346	228	8	,	,	PUNCT
amfbr-346	228	9	cribfb	cribfb	PROPN
amfbr-346	228	10	|	|	ADV
amfbr-346	228	11	amfbr	amfbr	ADJ
amfbr-346	228	12	www.cribfb.com/journal/index.php/amfbr	www.cribfb.com/journal/index.php/amfbr	PROPN
amfbr-346	228	13	american	american	PROPN
amfbr-346	228	14	finance	finance	PROPN
amfbr-346	228	15	&	&	CCONJ
amfbr-346	228	16	banking	banking	PROPN
amfbr-346	228	17	review	review	PROPN
amfbr-346	228	18	vol	vol	NOUN
amfbr-346	228	19	.	.	PROPN
amfbr-346	229	1	4	4	NUM
amfbr-346	229	2	,	,	PUNCT
amfbr-346	229	3	no	no	INTJ
amfbr-346	229	4	.	.	NOUN
amfbr-346	229	5	2	2	NUM
amfbr-346	229	6	;	;	PUNCT
amfbr-346	229	7	2019	2019	NUM
amfbr-346	229	8	22	22	NUM
amfbr-346	229	9	calculation	calculation	NOUN
amfbr-346	229	10	for	for	ADP
amfbr-346	229	11	gupta	gupta	PROPN
amfbr-346	229	12	model	model	NOUN
amfbr-346	229	13	initial	initial	ADJ
amfbr-346	229	14	guess	guess	NOUN
amfbr-346	229	15	for	for	ADP
amfbr-346	229	16	v.	v.	ADP
amfbr-346	229	17	this	this	DET
amfbr-346	229	18	value	value	NOUN
amfbr-346	229	19	should	should	AUX
amfbr-346	229	20	be	be	AUX
amfbr-346	229	21	changed	change	VERB
amfbr-346	229	22	for	for	ADP
amfbr-346	229	23	faster	fast	ADJ
amfbr-346	229	24	convergence	convergence	NOUN
amfbr-346	229	25	and	and	CCONJ
amfbr-346	229	26	less	less	ADJ
amfbr-346	229	27	iterations	iteration	NOUN
amfbr-346	229	28	(	(	PUNCT
amfbr-346	229	29	60	60	NUM
amfbr-346	229	30	)	)	PUNCT
amfbr-346	229	31	calculating	calculate	VERB
amfbr-346	229	32	v	v	NOUN
amfbr-346	229	33	for	for	ADP
amfbr-346	229	34	(	(	PUNCT
amfbr-346	229	35	80	80	NUM
amfbr-346	229	36	)	)	PUNCT
amfbr-346	229	37	calculated	calculate	VERB
amfbr-346	229	38	v	v	ADP
amfbr-346	229	39	y(t	y(t	PROPN
amfbr-346	229	40	)	)	PUNCT
amfbr-346	230	1	_	_	PUNCT
amfbr-346	230	2	0	0	PUNCT
amfbr-346	230	3	(	(	PUNCT
amfbr-346	230	4	61	61	NUM
amfbr-346	230	5	)	)	PUNCT
amfbr-346	230	6	,	,	PUNCT
amfbr-346	230	7	estimated	estimate	VERB
amfbr-346	230	8	a	a	X
amfbr-346	230	9	:	:	PUNCT
amfbr-346	230	10	(	(	PUNCT
amfbr-346	230	11	53	53	NUM
amfbr-346	230	12	)	)	PUNCT
amfbr-346	230	13	sum	sum	NOUN
amfbr-346	230	14	of	of	ADP
amfbr-346	230	15	absolute	absolute	ADJ
amfbr-346	230	16	residuals	residual	NOUN
amfbr-346	230	17	range	range	NOUN
amfbr-346	230	18	variable	variable	NOUN
amfbr-346	230	19	for	for	ADP
amfbr-346	230	20	plotting	plot	VERB
amfbr-346	230	21	the	the	DET
amfbr-346	230	22	lorenz	lorenz	PROPN
amfbr-346	230	23	curves	curve	NOUN
amfbr-346	230	24	gupta	gupta	PROPN
amfbr-346	230	25	lorenz	lorenz	PROPN
amfbr-346	230	26	curve	curve	NOUN
amfbr-346	230	27	:	:	PUNCT
amfbr-346	230	28	calculation	calculation	NOUN
amfbr-346	230	29	of	of	ADP
amfbr-346	230	30	gini	gini	PROPN
amfbr-346	230	31	index	index	NOUN
amfbr-346	230	32	calculation	calculation	NOUN
amfbr-346	230	33	of	of	ADP
amfbr-346	230	34	kakwani	kakwani	PROPN
amfbr-346	230	35	length	length	NOUN
amfbr-346	230	36	of	of	ADP
amfbr-346	230	37	lorenz	lorenz	PROPN
amfbr-346	230	38	curve	curve	VERB
amfbr-346	230	39	v	v	ADP
amfbr-346	230	40	20000	20000	NUM
amfbr-346	230	41	t	t	NOUN
amfbr-346	230	42	0	0	NUM
amfbr-346	230	43	1	1	NUM
amfbr-346	230	44	2	2	NUM
amfbr-346	230	45	2	2	NUM
amfbr-346	230	46			NOUN
amfbr-346	230	47	v	v	NUM
amfbr-346	230	48	root	root	NOUN
amfbr-346	230	49	x	x	SYM
amfbr-346	230	50	v	v	NOUN
amfbr-346	230	51	(	(	PUNCT
amfbr-346	230	52	)	)	PUNCT
amfbr-346	230	53	t	t	NOUN
amfbr-346	230	54	0	0	NUM
amfbr-346	231	1			PROPN
amfbr-346	231	2	v	v	NOUN
amfbr-346	231	3			ADP
amfbr-346	231	4	v	v	ADP
amfbr-346	231	5	27136.6437	27136.6437	NUM
amfbr-346	231	6	y	y	PROPN
amfbr-346	231	7	v	v	PROPN
amfbr-346	231	8	(	(	PUNCT
amfbr-346	231	9	)	)	PUNCT
amfbr-346	231	10	0.04208	0.04208	PUNCT
amfbr-346	232	1	z	z	X
amfbr-346	232	2	0	0	PUNCT
amfbr-346	233	1	y	y	PROPN
amfbr-346	233	2	v	v	PROPN
amfbr-346	233	3	(	(	PUNCT
amfbr-346	233	4	)	)	PUNCT
amfbr-346	233	5			X
amfbr-346	233	6	a	a	DET
amfbr-346	233	7	t	t	NOUN
amfbr-346	233	8	0	0	NUM
amfbr-346	234	1	z	z	NOUN
amfbr-346	234	2	0	0	NUM
amfbr-346	234	3			NOUN
amfbr-346	234	4			PROPN
amfbr-346	234	5			PROPN
amfbr-346	235	1			PROPN
amfbr-346	235	2			PROPN
amfbr-346	235	3			PROPN
amfbr-346	236	1			PROPN
amfbr-346	236	2			NUM
amfbr-346	236	3	2	2	NUM
amfbr-346	236	4			NOUN
amfbr-346	236	5	a	a	DET
amfbr-346	236	6	15.54768	15.54768	NUM
amfbr-346	236	7	s	s	NOUN
amfbr-346	236	8	0	0	NUM
amfbr-346	236	9	1	1	NUM
amfbr-346	236	10	xln	xln	PROPN
amfbr-346	236	11	z	z	NOUN
amfbr-346	236	12	0	0	PROPN
amfbr-346	237	1			PUNCT
amfbr-346	237	2	ln	ln	ADJ
amfbr-346	237	3	t	t	NOUN
amfbr-346	238	1	0	0	PROPN
amfbr-346	238	2			PUNCT
amfbr-346	239	1	t	t	PROPN
amfbr-346	239	2	0	0	NUM
amfbr-346	239	3	1	1	NUM
amfbr-346	239	4			PROPN
amfbr-346	239	5	ln	ln	NOUN
amfbr-346	239	6	a	a	PRON
amfbr-346	239	7	(	(	PUNCT
amfbr-346	239	8	)	)	PUNCT
amfbr-346	239	9			NOUN
amfbr-346	239	10			NOUN
amfbr-346	239	11			VERB
amfbr-346	239	12			PROPN
amfbr-346	239	13	d	d	PROPN
amfbr-346	239	14	s	s	PART
amfbr-346	239	15	0	0	NUM
amfbr-346	239	16	x	x	SYM
amfbr-346	239	17	0	0	NUM
amfbr-346	239	18	0.005	0.005	NUM
amfbr-346	239	19	1	1	NUM
amfbr-346	239	20	y	y	NOUN
amfbr-346	239	21	x	x	X
amfbr-346	239	22	(	(	PUNCT
amfbr-346	239	23	)	)	PUNCT
amfbr-346	239	24	x	x	SYM
amfbr-346	239	25	a	a	DET
amfbr-346	239	26	x	x	INTJ
amfbr-346	239	27	1	1	NUM
amfbr-346	239	28			NOUN
amfbr-346	239	29	y	y	PROPN
amfbr-346	239	30	x	x	X
amfbr-346	239	31	(	(	PUNCT
amfbr-346	239	32	)	)	PUNCT
amfbr-346	239	33	x	x	SYM
amfbr-346	239	34	x	x	PUNCT
amfbr-346	239	35	gini	gini	NOUN
amfbr-346	239	36	1	1	NUM
amfbr-346	239	37	2	2	NUM
amfbr-346	239	38	0	0	NUM
amfbr-346	239	39	1	1	NUM
amfbr-346	239	40	xy	xy	NOUN
amfbr-346	239	41	x	x	PROPN
amfbr-346	239	42	(	(	PUNCT
amfbr-346	239	43	)	)	PUNCT
amfbr-346	239	44			NOUN
amfbr-346	239	45			VERB
amfbr-346	239	46			PROPN
amfbr-346	239	47	d	d	PROPN
amfbr-346	239	48	gini	gini	PROPN
amfbr-346	239	49	0.51967	0.51967	NUM
amfbr-346	239	50	length	length	NOUN
amfbr-346	239	51	0	0	NUM
amfbr-346	239	52	1	1	NUM
amfbr-346	239	53	x1	x1	NOUN
amfbr-346	240	1	a	a	DET
amfbr-346	240	2	x	x	SYM
amfbr-346	240	3	1	1	NUM
amfbr-346	240	4	1	1	NUM
amfbr-346	240	5	x	x	SYM
amfbr-346	240	6	ln	ln	NOUN
amfbr-346	240	7	a	a	PRON
amfbr-346	240	8	(	(	PUNCT
amfbr-346	240	9	)	)	PUNCT
amfbr-346	240	10			PROPN
amfbr-346	240	11	(	(	PUNCT
amfbr-346	240	12	)	)	PUNCT
amfbr-346	240	13			PROPN
amfbr-346	240	14			NOUN
amfbr-346	240	15	2	2	NUM
amfbr-346	240	16			X
amfbr-346	240	17			NOUN
amfbr-346	240	18			VERB
amfbr-346	240	19			VERB
amfbr-346	240	20			PROPN
amfbr-346	240	21	d	d	PROPN
amfbr-346	240	22	copyright	copyright	NOUN
amfbr-346	240	23	©	©	PROPN
amfbr-346	240	24	cc	cc	PROPN
amfbr-346	240	25	-	-	PUNCT
amfbr-346	240	26	by	by	ADP
amfbr-346	240	27	-	-	PUNCT
amfbr-346	240	28	nc	nc	PROPN
amfbr-346	240	29	2019	2019	NUM
amfbr-346	240	30	,	,	PUNCT
amfbr-346	240	31	cribfb	cribfb	PROPN
amfbr-346	240	32	|	|	ADV
amfbr-346	240	33	amfbr	amfbr	ADJ
amfbr-346	240	34	www.cribfb.com/journal/index.php/amfbr	www.cribfb.com/journal/index.php/amfbr	PROPN
amfbr-346	240	35	american	american	PROPN
amfbr-346	240	36	finance	finance	PROPN
amfbr-346	240	37	&	&	CCONJ
amfbr-346	240	38	banking	banking	PROPN
amfbr-346	240	39	review	review	PROPN
amfbr-346	240	40	vol	vol	NOUN
amfbr-346	240	41	.	.	PROPN
amfbr-346	241	1	4	4	NUM
amfbr-346	241	2	,	,	PUNCT
amfbr-346	241	3	no	no	INTJ
amfbr-346	241	4	.	.	NOUN
amfbr-346	241	5	2	2	NUM
amfbr-346	241	6	;	;	PUNCT
amfbr-346	241	7	2019	2019	NUM
amfbr-346	241	8	23	23	NUM
amfbr-346	241	9	length	length	NOUN
amfbr-346	241	10	of	of	ADP
amfbr-346	241	11	lorenz	lorenz	PROPN
amfbr-346	241	12	curve	curve	PROPN
amfbr-346	241	13	kakwani	kakwani	PROPN
amfbr-346	241	14	index	index	NOUN
amfbr-346	241	15	of	of	ADP
amfbr-346	241	16	length	length	NOUN
amfbr-346	241	17	calculation	calculation	NOUN
amfbr-346	241	18	for	for	ADP
amfbr-346	241	19	bidabad	bidabad	NOUN
amfbr-346	241	20	model	model	NOUN
amfbr-346	241	21	(	(	PUNCT
amfbr-346	241	22	76	76	NUM
amfbr-346	241	23	)	)	PUNCT
amfbr-346	241	24	initial	initial	ADJ
amfbr-346	241	25	guess	guess	NOUN
amfbr-346	241	26	for	for	ADP
amfbr-346	241	27	v.	v.	ADP
amfbr-346	241	28	this	this	DET
amfbr-346	241	29	value	value	NOUN
amfbr-346	241	30	should	should	AUX
amfbr-346	241	31	be	be	AUX
amfbr-346	241	32	changed	change	VERB
amfbr-346	241	33	for	for	ADP
amfbr-346	241	34	faster	fast	ADJ
amfbr-346	241	35	convergence	convergence	NOUN
amfbr-346	241	36	and	and	CCONJ
amfbr-346	241	37	less	less	ADJ
amfbr-346	241	38	iterations	iteration	NOUN
amfbr-346	241	39	calculating	calculate	VERB
amfbr-346	241	40	v	v	NOUN
amfbr-346	241	41	for	for	ADP
amfbr-346	241	42	(	(	PUNCT
amfbr-346	241	43	81	81	NUM
amfbr-346	241	44	)	)	PUNCT
amfbr-346	241	45	calculated	calculate	VERB
amfbr-346	241	46	v	v	ADP
amfbr-346	241	47	y(0.07549	y(0.07549	PROPN
amfbr-346	241	48	)	)	PUNCT
amfbr-346	241	49	(	(	PUNCT
amfbr-346	241	50	75	75	NUM
amfbr-346	241	51	)	)	PUNCT
amfbr-346	241	52	initial	initial	ADJ
amfbr-346	241	53	guess	guess	NOUN
amfbr-346	241	54	for	for	ADP
amfbr-346	241	55	v.	v.	ADP
amfbr-346	241	56	this	this	DET
amfbr-346	241	57	value	value	NOUN
amfbr-346	241	58	should	should	AUX
amfbr-346	241	59	be	be	AUX
amfbr-346	241	60	changed	change	VERB
amfbr-346	241	61	for	for	ADP
amfbr-346	241	62	faster	fast	ADJ
amfbr-346	241	63	convergence	convergence	NOUN
amfbr-346	241	64	and	and	CCONJ
amfbr-346	241	65	less	less	ADJ
amfbr-346	241	66	iterations	iteration	NOUN
amfbr-346	241	67	calculatig	calculatig	NOUN
amfbr-346	241	68	v	v	NOUN
amfbr-346	241	69	for	for	ADP
amfbr-346	241	70	(	(	PUNCT
amfbr-346	241	71	82	82	NUM
amfbr-346	241	72	)	)	PUNCT
amfbr-346	241	73	calculated	calculate	VERB
amfbr-346	241	74	v	v	ADP
amfbr-346	241	75	y(0.40442	y(0.40442	PROPN
amfbr-346	241	76	)	)	PUNCT
amfbr-346	241	77	(	(	PUNCT
amfbr-346	241	78	79	79	NUM
amfbr-346	241	79	)	)	PUNCT
amfbr-346	241	80	(	(	PUNCT
amfbr-346	241	81	78	78	NUM
amfbr-346	241	82	)	)	PUNCT
amfbr-346	241	83	estimated	estimate	VERB
amfbr-346	241	84	a	a	PRON
amfbr-346	241	85	and	and	CCONJ
amfbr-346	241	86	b	b	NOUN
amfbr-346	241	87	:	:	PUNCT
amfbr-346	241	88	(	(	PUNCT
amfbr-346	241	89	62	62	NUM
amfbr-346	241	90	)	)	PUNCT
amfbr-346	241	91	sum	sum	NOUN
amfbr-346	241	92	of	of	ADP
amfbr-346	241	93	absolute	absolute	ADJ
amfbr-346	241	94	residuals	residual	NOUN
amfbr-346	241	95	range	range	NOUN
amfbr-346	241	96	variable	variable	NOUN
amfbr-346	241	97	for	for	ADP
amfbr-346	241	98	plotting	plot	VERB
amfbr-346	241	99	the	the	DET
amfbr-346	241	100	lorenz	lorenz	PROPN
amfbr-346	241	101	curves	curve	NOUN
amfbr-346	241	102	bidabad	bidabad	VERB
amfbr-346	241	103	lorenz	lorenz	PROPN
amfbr-346	241	104	curve	curve	NOUN
amfbr-346	241	105	length	length	NOUN
amfbr-346	241	106	1.5515	1.5515	NUM
amfbr-346	241	107	kakwani	kakwani	NOUN
amfbr-346	241	108	length	length	NOUN
amfbr-346	241	109	2	2	NUM
amfbr-346	241	110	2	2	NUM
amfbr-346	241	111	2	2	NUM
amfbr-346	241	112			ADJ
amfbr-346	241	113	kakwani	kakwani	NOUN
amfbr-346	241	114	0.23437	0.23437	NOUN
amfbr-346	242	1	t	t	PROPN
amfbr-346	242	2	1	1	NUM
amfbr-346	242	3	0.07549	0.07549	NOUN
amfbr-346	242	4	v	v	NUM
amfbr-346	242	5	8000	8000	NUM
amfbr-346	242	6	v	v	NOUN
amfbr-346	242	7	root	root	NOUN
amfbr-346	242	8	x	x	SYM
amfbr-346	242	9	v	v	NOUN
amfbr-346	242	10	(	(	PUNCT
amfbr-346	242	11	)	)	PUNCT
amfbr-346	242	12	t	t	PROPN
amfbr-346	242	13	1	1	NUM
amfbr-346	242	14			NOUN
amfbr-346	242	15	v	v	VERB
amfbr-346	242	16			ADP
amfbr-346	242	17	v	v	NUM
amfbr-346	242	18	9464.04318	9464.04318	NUM
amfbr-346	242	19	y	y	PROPN
amfbr-346	242	20	v	v	NOUN
amfbr-346	242	21	(	(	PUNCT
amfbr-346	242	22	)	)	PUNCT
amfbr-346	242	23	0.00442	0.00442	NUM
amfbr-346	242	24	z	z	NOUN
amfbr-346	242	25	1	1	NUM
amfbr-346	242	26	y	y	PROPN
amfbr-346	242	27	v	v	NOUN
amfbr-346	242	28	(	(	PUNCT
amfbr-346	242	29	)	)	PUNCT
amfbr-346	242	30			PROPN
amfbr-346	242	31	t	t	PROPN
amfbr-346	242	32	2	2	NUM
amfbr-346	242	33	0.40442	0.40442	NUM
amfbr-346	242	34	v	v	NUM
amfbr-346	242	35	27000	27000	NUM
amfbr-346	242	36	v	v	NOUN
amfbr-346	242	37	root	root	NOUN
amfbr-346	242	38	x	x	SYM
amfbr-346	242	39	v	v	NOUN
amfbr-346	242	40	(	(	PUNCT
amfbr-346	242	41	)	)	PUNCT
amfbr-346	242	42	t	t	NOUN
amfbr-346	242	43	2	2	NUM
amfbr-346	242	44			NOUN
amfbr-346	242	45	v	v	VERB
amfbr-346	242	46			ADP
amfbr-346	242	47	v	v	NUM
amfbr-346	242	48	38826.25803	38826.25803	NUM
amfbr-346	242	49	y	y	PROPN
amfbr-346	242	50	v	v	PROPN
amfbr-346	242	51	(	(	PUNCT
amfbr-346	242	52	)	)	PUNCT
amfbr-346	242	53	0.07722	0.07722	SYM
amfbr-346	242	54	z	z	NOUN
amfbr-346	242	55	2	2	NUM
amfbr-346	242	56	y	y	PROPN
amfbr-346	242	57	v	v	NOUN
amfbr-346	242	58	(	(	PUNCT
amfbr-346	242	59	)	)	PUNCT
amfbr-346	242	60			X
amfbr-346	242	61	a	a	DET
amfbr-346	242	62	z	z	NOUN
amfbr-346	242	63	1	1	NUM
amfbr-346	243	1			PROPN
amfbr-346	243	2	1.28986	1.28986	NUM
amfbr-346	243	3	z	z	NOUN
amfbr-346	243	4	2	2	PROPN
amfbr-346	243	5			PROPN
amfbr-346	243	6	3.68126	3.68126	NUM
amfbr-346	243	7			PROPN
amfbr-346	243	8	b	b	NOUN
amfbr-346	243	9	0.84857	0.84857	NUM
amfbr-346	243	10	ln	ln	NOUN
amfbr-346	243	11	z	z	NOUN
amfbr-346	244	1	1	1	NUM
amfbr-346	244	2			NUM
amfbr-346	244	3	1.31722ln	1.31722ln	NUM
amfbr-346	244	4	z	z	SYM
amfbr-346	244	5	2	2	PROPN
amfbr-346	244	6			NOUN
amfbr-346	244	7	a	a	DET
amfbr-346	244	8	11.41481	11.41481	NUM
amfbr-346	244	9	b	b	X
amfbr-346	244	10	1.22709	1.22709	NUM
amfbr-346	244	11	s	s	NOUN
amfbr-346	244	12	0	0	NUM
amfbr-346	244	13	1	1	NUM
amfbr-346	244	14	xln	xln	PROPN
amfbr-346	244	15	z	z	PROPN
amfbr-346	244	16	1	1	NUM
amfbr-346	244	17			PROPN
amfbr-346	244	18	b	b	PROPN
amfbr-346	244	19	ln	ln	NOUN
amfbr-346	244	20	t	t	PROPN
amfbr-346	244	21	1	1	NUM
amfbr-346	244	22			SYM
amfbr-346	244	23	t	t	PROPN
amfbr-346	244	24	1	1	NUM
amfbr-346	244	25	1	1	NUM
amfbr-346	244	26			PROPN
amfbr-346	244	27	ln	ln	NOUN
amfbr-346	244	28	a	a	PRON
amfbr-346	244	29	(	(	PUNCT
amfbr-346	244	30	)	)	PUNCT
amfbr-346	244	31			NOUN
amfbr-346	244	32			NOUN
amfbr-346	244	33			VERB
amfbr-346	244	34			PROPN
amfbr-346	244	35	d	d	PROPN
amfbr-346	244	36	s	s	PART
amfbr-346	244	37	0.00002	0.00002	NUM
amfbr-346	244	38	x	x	SYM
amfbr-346	244	39	0	0	NUM
amfbr-346	244	40	0.005	0.005	NUM
amfbr-346	244	41	1	1	NUM
amfbr-346	244	42	y	y	NOUN
amfbr-346	244	43	x	x	X
amfbr-346	244	44	(	(	PUNCT
amfbr-346	244	45	)	)	PUNCT
amfbr-346	244	46	x	x	SYM
amfbr-346	244	47	b	b	X
amfbr-346	244	48	a	a	DET
amfbr-346	244	49	x	x	PROPN
amfbr-346	244	50	1	1	NUM
amfbr-346	244	51			NOUN
amfbr-346	244	52	copyright	copyright	NOUN
amfbr-346	244	53	©	©	PROPN
amfbr-346	244	54	cc	cc	NOUN
amfbr-346	244	55	-	-	PUNCT
amfbr-346	244	56	by	by	ADP
amfbr-346	244	57	-	-	PUNCT
amfbr-346	244	58	nc	nc	PROPN
amfbr-346	244	59	2019	2019	NUM
amfbr-346	244	60	,	,	PUNCT
amfbr-346	244	61	cribfb	cribfb	PROPN
amfbr-346	244	62	|	|	ADV
amfbr-346	244	63	amfbr	amfbr	ADJ
amfbr-346	245	1	www.cribfb.com/journal/index.php/amfbr	www.cribfb.com/journal/index.php/amfbr	PROPN
amfbr-346	246	1	american	american	PROPN
amfbr-346	246	2	finance	finance	PROPN
amfbr-346	246	3	&	&	CCONJ
amfbr-346	246	4	banking	banking	PROPN
amfbr-346	246	5	review	review	PROPN
amfbr-346	246	6	vol	vol	NOUN
amfbr-346	246	7	.	.	PROPN
amfbr-346	247	1	4	4	NUM
amfbr-346	247	2	,	,	PUNCT
amfbr-346	247	3	no	no	INTJ
amfbr-346	247	4	.	.	NOUN
amfbr-346	247	5	2	2	NUM
amfbr-346	247	6	;	;	PUNCT
amfbr-346	247	7	2019	2019	NUM
amfbr-346	247	8	24	24	NUM
amfbr-346	247	9	references	reference	NOUN
amfbr-346	247	10	bidabad	bidabad	VERB
amfbr-346	247	11	bijan	bijan	NOUN
amfbr-346	247	12	(	(	PUNCT
amfbr-346	247	13	1987a	1987a	NUM
amfbr-346	247	14	)	)	PUNCT
amfbr-346	247	15	least	least	ADJ
amfbr-346	247	16	absolute	absolute	ADJ
amfbr-346	247	17	error	error	NOUN
amfbr-346	247	18	estimation	estimation	NOUN
amfbr-346	247	19	i	i	PRON
amfbr-346	247	20	,	,	PUNCT
amfbr-346	247	21	the	the	DET
amfbr-346	247	22	1st	1st	ADJ
amfbr-346	247	23	international	international	ADJ
amfbr-346	247	24	conference	conference	NOUN
amfbr-346	247	25	on	on	ADP
amfbr-346	247	26	statistical	statistical	ADJ
amfbr-346	247	27	data	datum	NOUN
amfbr-346	247	28	analysis	analysis	NOUN
amfbr-346	247	29	based	base	VERB
amfbr-346	247	30	on	on	ADP
amfbr-346	247	31	the	the	DET
amfbr-346	247	32	l1	l1	PROPN
amfbr-346	247	33	norm	norm	NOUN
amfbr-346	247	34	and	and	CCONJ
amfbr-346	247	35	related	related	ADJ
amfbr-346	247	36	methods	method	NOUN
amfbr-346	247	37	.	.	PUNCT
amfbr-346	248	1	neuchatel	neuchatel	PROPN
amfbr-346	248	2	,	,	PUNCT
amfbr-346	248	3	switzerland	switzerland	PROPN
amfbr-346	248	4	,	,	PUNCT
amfbr-346	248	5	1987	1987	NUM
amfbr-346	248	6	.	.	PUNCT
amfbr-346	249	1	http://www.bidabad.com/doc/lae-i.pdf	http://www.bidabad.com/doc/lae-i.pdf	PROPN
amfbr-346	249	2	bidabad	bidabad	PROPN
amfbr-346	249	3	bijan	bijan	PROPN
amfbr-346	249	4	(	(	PUNCT
amfbr-346	249	5	1987b	1987b	NUM
amfbr-346	249	6	)	)	PUNCT
amfbr-346	249	7	least	least	ADJ
amfbr-346	249	8	absolute	absolute	ADJ
amfbr-346	249	9	error	error	NOUN
amfbr-346	249	10	estimation	estimation	NOUN
amfbr-346	249	11	ii	ii	PROPN
amfbr-346	249	12	,	,	PUNCT
amfbr-346	249	13	the	the	DET
amfbr-346	249	14	1st	1st	ADJ
amfbr-346	249	15	international	international	ADJ
amfbr-346	249	16	conference	conference	NOUN
amfbr-346	249	17	on	on	ADP
amfbr-346	249	18	statistical	statistical	ADJ
amfbr-346	249	19	data	datum	NOUN
amfbr-346	249	20	analysis	analysis	NOUN
amfbr-346	249	21	based	base	VERB
amfbr-346	249	22	on	on	ADP
amfbr-346	249	23	the	the	DET
amfbr-346	249	24	l1	l1	PROPN
amfbr-346	249	25	norm	norm	NOUN
amfbr-346	249	26	and	and	CCONJ
amfbr-346	249	27	related	related	ADJ
amfbr-346	249	28	methods	method	NOUN
amfbr-346	249	29	.	.	PUNCT
amfbr-346	250	1	neuchatel	neuchatel	PROPN
amfbr-346	250	2	,	,	PUNCT
amfbr-346	250	3	switzerland	switzerland	PROPN
amfbr-346	250	4	,	,	PUNCT
amfbr-346	250	5	1987	1987	NUM
amfbr-346	250	6	.	.	PUNCT
amfbr-346	251	1	http://www.bidabad.com/doc/lae-ii.pdf	http://www.bidabad.com/doc/lae-ii.pdf	PROPN
amfbr-346	251	2	bidabad	bidabad	VERB
amfbr-346	251	3	bijan	bijan	NOUN
amfbr-346	251	4	(	(	PUNCT
amfbr-346	251	5	1988a	1988a	NUM
amfbr-346	251	6	)	)	PUNCT
amfbr-346	251	7	a	a	DET
amfbr-346	251	8	proposed	propose	VERB
amfbr-346	251	9	algorithm	algorithm	NOUN
amfbr-346	251	10	for	for	ADP
amfbr-346	251	11	least	least	ADJ
amfbr-346	251	12	absolute	absolute	ADJ
amfbr-346	251	13	error	error	NOUN
amfbr-346	251	14	estimation	estimation	NOUN
amfbr-346	251	15	.	.	PUNCT
amfbr-346	252	1	proceedings	proceeding	NOUN
amfbr-346	252	2	of	of	ADP
amfbr-346	252	3	the	the	DET
amfbr-346	252	4	third	third	ADJ
amfbr-346	252	5	seminar	seminar	NOUN
amfbr-346	252	6	of	of	ADP
amfbr-346	252	7	mathematical	mathematical	ADJ
amfbr-346	252	8	analysis	analysis	NOUN
amfbr-346	252	9	.	.	PUNCT
amfbr-346	253	1	shiraz	shiraz	PROPN
amfbr-346	253	2	university	university	PROPN
amfbr-346	253	3	,	,	PUNCT
amfbr-346	253	4	24	24	NUM
amfbr-346	253	5	-	-	SYM
amfbr-346	253	6	34	34	NUM
amfbr-346	253	7	,	,	PUNCT
amfbr-346	253	8	shiraz	shiraz	PROPN
amfbr-346	253	9	,	,	PUNCT
amfbr-346	253	10	iran	iran	PROPN
amfbr-346	253	11	.	.	PUNCT
amfbr-346	254	1	bidabad	bidabad	PROPN
amfbr-346	254	2	bijan	bijan	PROPN
amfbr-346	254	3	(	(	PUNCT
amfbr-346	254	4	1988b	1988b	NUM
amfbr-346	254	5	)	)	PUNCT
amfbr-346	254	6	a	a	DET
amfbr-346	254	7	proposed	propose	VERB
amfbr-346	254	8	algorithm	algorithm	NOUN
amfbr-346	254	9	for	for	ADP
amfbr-346	254	10	least	least	ADJ
amfbr-346	254	11	absolute	absolute	ADJ
amfbr-346	254	12	error	error	NOUN
amfbr-346	254	13	estimation	estimation	NOUN
amfbr-346	254	14	,	,	PUNCT
amfbr-346	254	15	part	part	PROPN
amfbr-346	254	16	ii	ii	PROPN
amfbr-346	254	17	.	.	PUNCT
amfbr-346	254	18	proceedings	proceeding	NOUN
amfbr-346	254	19	of	of	ADP
amfbr-346	254	20	the	the	DET
amfbr-346	254	21	third	third	ADJ
amfbr-346	254	22	seminar	seminar	NOUN
amfbr-346	254	23	of	of	ADP
amfbr-346	254	24	mathematical	mathematical	ADJ
amfbr-346	254	25	analysis	analysis	NOUN
amfbr-346	254	26	,	,	PUNCT
amfbr-346	254	27	shiraz	shiraz	PROPN
amfbr-346	254	28	university	university	NOUN
amfbr-346	254	29	,	,	PUNCT
amfbr-346	254	30	35	35	NUM
amfbr-346	254	31	-	-	SYM
amfbr-346	254	32	50	50	NUM
amfbr-346	254	33	,	,	PUNCT
amfbr-346	254	34	shiraz	shiraz	NOUN
amfbr-346	254	35	,	,	PUNCT
amfbr-346	254	36	iran	iran	PROPN
amfbr-346	254	37	.	.	PUNCT
amfbr-346	255	1	bidabad	bidabad	PROPN
amfbr-346	255	2	bijan	bijan	PROPN
amfbr-346	255	3	(	(	PUNCT
amfbr-346	255	4	1989a	1989a	NUM
amfbr-346	255	5	)	)	PUNCT
amfbr-346	255	6	discrete	discrete	ADJ
amfbr-346	255	7	and	and	CCONJ
amfbr-346	255	8	continuous	continuous	ADJ
amfbr-346	255	9	l1	l1	PROPN
amfbr-346	255	10	norm	norm	NOUN
amfbr-346	255	11	regressions	regression	NOUN
amfbr-346	255	12	,	,	PUNCT
amfbr-346	255	13	proposition	proposition	NOUN
amfbr-346	255	14	of	of	ADP
amfbr-346	255	15	discrete	discrete	ADJ
amfbr-346	255	16	approximation	approximation	NOUN
amfbr-346	255	17	algorithms	algorithm	NOUN
amfbr-346	255	18	and	and	CCONJ
amfbr-346	255	19	continuous	continuous	ADJ
amfbr-346	255	20	smoothing	smoothing	NOUN
amfbr-346	255	21	of	of	ADP
amfbr-346	255	22	concentration	concentration	NOUN
amfbr-346	255	23	surface	surface	NOUN
amfbr-346	255	24	,	,	PUNCT
amfbr-346	255	25	ph.d	ph.d	PROPN
amfbr-346	255	26	.	.	PUNCT
amfbr-346	256	1	thesis	thesis	PROPN
amfbr-346	256	2	,	,	PUNCT
amfbr-346	256	3	islamic	islamic	PROPN
amfbr-346	256	4	azad	azad	PROPN
amfbr-346	256	5	university	university	PROPN
amfbr-346	256	6	,	,	PUNCT
amfbr-346	256	7	tehran	tehran	PROPN
amfbr-346	256	8	,	,	PUNCT
amfbr-346	256	9	iran	iran	PROPN
amfbr-346	256	10	.	.	PUNCT
amfbr-346	257	1	bidabad	bidabad	PROPN
amfbr-346	257	2	bijan	bijan	PROPN
amfbr-346	257	3	(	(	PUNCT
amfbr-346	257	4	1989b	1989b	NUM
amfbr-346	257	5	)	)	PUNCT
amfbr-346	257	6	discrete	discrete	ADJ
amfbr-346	257	7	and	and	CCONJ
amfbr-346	257	8	continuous	continuous	ADJ
amfbr-346	257	9	l1	l1	PROPN
amfbr-346	257	10	norm	norm	NOUN
amfbr-346	257	11	regressions	regression	NOUN
amfbr-346	257	12	,	,	PUNCT
amfbr-346	257	13	proposition	proposition	NOUN
amfbr-346	257	14	of	of	ADP
amfbr-346	257	15	discrete	discrete	ADJ
amfbr-346	257	16	approximation	approximation	NOUN
amfbr-346	257	17	algorithms	algorithm	NOUN
amfbr-346	257	18	and	and	CCONJ
amfbr-346	257	19	continuous	continuous	ADJ
amfbr-346	257	20	smoothing	smoothing	NOUN
amfbr-346	257	21	of	of	ADP
amfbr-346	257	22	concentration	concentration	NOUN
amfbr-346	257	23	surface	surface	NOUN
amfbr-346	257	24	,	,	PUNCT
amfbr-346	257	25	ph.d	ph.d	PROPN
amfbr-346	257	26	.	.	PUNCT
amfbr-346	258	1	thesis	thesis	PROPN
amfbr-346	258	2	,	,	PUNCT
amfbr-346	258	3	islamic	islamic	PROPN
amfbr-346	258	4	azad	azad	PROPN
amfbr-346	258	5	university	university	PROPN
amfbr-346	258	6	,	,	PUNCT
amfbr-346	258	7	tehran	tehran	PROPN
amfbr-346	258	8	,	,	PUNCT
amfbr-346	258	9	iran	iran	PROPN
amfbr-346	258	10	.	.	PUNCT
amfbr-346	259	1	persian	persian	ADJ
amfbr-346	259	2	translation	translation	NOUN
amfbr-346	259	3	.	.	PUNCT
amfbr-346	260	1	bidabad	bidabad	PROPN
amfbr-346	260	2	,	,	PUNCT
amfbr-346	260	3	bijan	bijan	PROPN
amfbr-346	260	4	(	(	PUNCT
amfbr-346	260	5	2019	2019	NUM
amfbr-346	260	6	)	)	PUNCT
amfbr-346	260	7	l1	l1	PROPN
amfbr-346	260	8	norm	norm	NOUN
amfbr-346	260	9	based	base	VERB
amfbr-346	260	10	computational	computational	ADJ
amfbr-346	260	11	algorithms	algorithm	NOUN
amfbr-346	260	12	.	.	PUNCT
amfbr-346	261	1	bangladesh	bangladesh	PROPN
amfbr-346	261	2	journal	journal	PROPN
amfbr-346	261	3	of	of	ADP
amfbr-346	261	4	multidisciplinary	multidisciplinary	ADJ
amfbr-346	261	5	scientific	scientific	ADJ
amfbr-346	261	6	research	research	NOUN
amfbr-346	261	7	,	,	PUNCT
amfbr-346	261	8	vol	vol	NOUN
amfbr-346	261	9	.	.	PROPN
amfbr-346	261	10	1	1	NUM
amfbr-346	261	11	,	,	PUNCT
amfbr-346	261	12	no	no	INTJ
amfbr-346	261	13	.	.	NOUN
amfbr-346	261	14	1	1	NUM
amfbr-346	261	15	,	,	PUNCT
amfbr-346	261	16	pp	pp	ADJ
amfbr-346	261	17	.	.	PUNCT
amfbr-346	262	1	50	50	NUM
amfbr-346	262	2	-	-	SYM
amfbr-346	262	3	68	68	NUM
amfbr-346	262	4	,	,	PUNCT
amfbr-346	262	5	2019	2019	NUM
amfbr-346	262	6	.	.	PUNCT
amfbr-346	263	1	http://www.bidabad.com/doc/l1-article6.pdf	http://www.bidabad.com/doc/l1-article6.pdf	PROPN
amfbr-346	263	2	https://www.cribfb.com/journal/index.php/bjmsr/article/view/315	https://www.cribfb.com/journal/index.php/bjmsr/article/view/315	PROPN
amfbr-346	263	3	bidabad	bidabad	NOUN
amfbr-346	263	4	,	,	PUNCT
amfbr-346	263	5	bijan	bijan	PROPN
amfbr-346	263	6	(	(	PUNCT
amfbr-346	263	7	2019	2019	NUM
amfbr-346	263	8	)	)	PUNCT
amfbr-346	263	9	l1	l1	PROPN
amfbr-346	263	10	norm	norm	NOUN
amfbr-346	263	11	solution	solution	NOUN
amfbr-346	263	12	of	of	ADP
amfbr-346	263	13	overdetermined	overdetermined	ADJ
amfbr-346	263	14	system	system	NOUN
amfbr-346	263	15	of	of	ADP
amfbr-346	263	16	linear	linear	PROPN
amfbr-346	263	17	equations	equation	NOUN
amfbr-346	263	18	.	.	PUNCT
amfbr-346	264	1	bangladesh	bangladesh	PROPN
amfbr-346	264	2	journal	journal	PROPN
amfbr-346	264	3	of	of	ADP
amfbr-346	264	4	multidisciplinary	multidisciplinary	ADJ
amfbr-346	264	5	scientific	scientific	ADJ
amfbr-346	264	6	research	research	NOUN
amfbr-346	264	7	,	,	PUNCT
amfbr-346	264	8	vol	vol	NOUN
amfbr-346	264	9	.	.	PROPN
amfbr-346	264	10	1	1	NUM
amfbr-346	264	11	,	,	PUNCT
amfbr-346	264	12	no	no	INTJ
amfbr-346	264	13	.	.	NOUN
amfbr-346	264	14	1	1	NUM
amfbr-346	264	15	,	,	PUNCT
amfbr-346	264	16	pp	pp	ADJ
amfbr-346	264	17	.	.	PUNCT
amfbr-346	265	1	19	19	NUM
amfbr-346	265	2	-	-	SYM
amfbr-346	265	3	30	30	NUM
amfbr-346	265	4	,	,	PUNCT
amfbr-346	265	5	2019	2019	NUM
amfbr-346	265	6	.	.	PUNCT
amfbr-346	266	1	http://www.bidabad.com/doc/l1-article5.pdf	http://www.bidabad.com/doc/l1-article5.pdf	NOUN
amfbr-346	266	2	https://www.cribfb.com/journal/index.php/bjmsr/article/view/312	https://www.cribfb.com/journal/index.php/bjmsr/article/view/312	NOUN
amfbr-346	266	3	bidabad	bidabad	ADV
amfbr-346	266	4	,	,	PUNCT
amfbr-346	266	5	bijan	bijan	PROPN
amfbr-346	266	6	(	(	PUNCT
amfbr-346	266	7	2019	2019	NUM
amfbr-346	266	8	)	)	PUNCT
amfbr-346	267	1	l1	l1	PROPN
amfbr-346	267	2	norm	norm	PROPN
amfbr-346	267	3	based	base	VERB
amfbr-346	267	4	data	datum	NOUN
amfbr-346	267	5	analysis	analysis	NOUN
amfbr-346	267	6	and	and	CCONJ
amfbr-346	267	7	related	related	ADJ
amfbr-346	267	8	methods	method	NOUN
amfbr-346	267	9	,	,	PUNCT
amfbr-346	267	10	(	(	PUNCT
amfbr-346	267	11	1632	1632	NUM
amfbr-346	267	12	-	-	SYM
amfbr-346	267	13	1989	1989	NUM
amfbr-346	267	14	)	)	PUNCT
amfbr-346	267	15	.	.	PUNCT
amfbr-346	268	1	australian	australian	ADJ
amfbr-346	268	2	finance	finance	PROPN
amfbr-346	268	3	&	&	CCONJ
amfbr-346	268	4	banking	banking	PROPN
amfbr-346	268	5	review	review	PROPN
amfbr-346	268	6	,	,	PUNCT
amfbr-346	268	7	3(1	3(1	NUM
amfbr-346	268	8	)	)	PUNCT
amfbr-346	268	9	,	,	PUNCT
amfbr-346	268	10	43	43	NUM
amfbr-346	268	11	-	-	SYM
amfbr-346	268	12	81	81	NUM
amfbr-346	268	13	,	,	PUNCT
amfbr-346	268	14	2019	2019	NUM
amfbr-346	268	15	.	.	PUNCT
amfbr-346	269	1	calculation	calculation	NOUN
amfbr-346	269	2	of	of	ADP
amfbr-346	269	3	gini	gini	PROPN
amfbr-346	269	4	index	index	NOUN
amfbr-346	269	5	calculation	calculation	NOUN
amfbr-346	269	6	of	of	ADP
amfbr-346	269	7	kakwani	kakwani	PROPN
amfbr-346	269	8	length	length	NOUN
amfbr-346	269	9	of	of	ADP
amfbr-346	269	10	lorenz	lorenz	PROPN
amfbr-346	269	11	curve	curve	PROPN
amfbr-346	269	12	length	length	NOUN
amfbr-346	269	13	of	of	ADP
amfbr-346	269	14	lorenz	lorenz	PROPN
amfbr-346	269	15	curve	curve	PROPN
amfbr-346	269	16	kakwani	kakwani	PROPN
amfbr-346	269	17	index	index	NOUN
amfbr-346	269	18	of	of	ADP
amfbr-346	269	19	length	length	NOUN
amfbr-346	269	20	y	y	PROPN
amfbr-346	269	21	x	x	PROPN
amfbr-346	269	22	(	(	PUNCT
amfbr-346	269	23	)	)	PUNCT
amfbr-346	269	24	x	x	SYM
amfbr-346	269	25	x	x	PUNCT
amfbr-346	269	26	gini	gini	NOUN
amfbr-346	269	27	1	1	NUM
amfbr-346	269	28	2	2	NUM
amfbr-346	269	29	0	0	NUM
amfbr-346	269	30	1	1	NUM
amfbr-346	269	31	xy	xy	NOUN
amfbr-346	269	32	x	x	PROPN
amfbr-346	269	33	(	(	PUNCT
amfbr-346	269	34	)	)	PUNCT
amfbr-346	269	35			NOUN
amfbr-346	269	36			VERB
amfbr-346	269	37			PROPN
amfbr-346	269	38	d	d	PROPN
amfbr-346	269	39	gini	gini	PROPN
amfbr-346	269	40	0.51834	0.51834	PROPN
amfbr-346	270	1	length	length	NOUN
amfbr-346	270	2	0	0	NUM
amfbr-346	270	3	1	1	NUM
amfbr-346	270	4	x1	x1	NOUN
amfbr-346	270	5	a	a	PRON
amfbr-346	270	6	x	x	SYM
amfbr-346	270	7	1	1	NUM
amfbr-346	270	8	x	x	SYM
amfbr-346	270	9	b	b	X
amfbr-346	270	10	1	1	NUM
amfbr-346	270	11			PROPN
amfbr-346	270	12	b	b	NOUN
amfbr-346	270	13	x	x	X
amfbr-346	270	14	ln	ln	NOUN
amfbr-346	270	15	a	a	PRON
amfbr-346	270	16	(	(	PUNCT
amfbr-346	270	17	)	)	PUNCT
amfbr-346	270	18			PROPN
amfbr-346	270	19	(	(	PUNCT
amfbr-346	270	20	)	)	PUNCT
amfbr-346	270	21			PROPN
amfbr-346	270	22			NOUN
amfbr-346	270	23	2	2	NUM
amfbr-346	270	24			X
amfbr-346	270	25			NOUN
amfbr-346	270	26			VERB
amfbr-346	270	27			VERB
amfbr-346	270	28			PROPN
amfbr-346	270	29	d	d	PROPN
amfbr-346	270	30	length	length	NOUN
amfbr-346	270	31	1.55118	1.55118	NUM
amfbr-346	270	32	kakwani	kakwani	NOUN
amfbr-346	270	33	length	length	NOUN
amfbr-346	270	34	2	2	NUM
amfbr-346	270	35	2	2	NUM
amfbr-346	270	36	2	2	NUM
amfbr-346	270	37			ADJ
amfbr-346	270	38	kakwani	kakwani	PROPN
amfbr-346	271	1	0.23381	0.23381	PUNCT
amfbr-346	271	2	http://www.bidabad.com/doc/lae-i.pdf	http://www.bidabad.com/doc/lae-i.pdf	PROPN
amfbr-346	271	3	http://www.bidabad.com/doc/lae-ii.pdf	http://www.bidabad.com/doc/lae-ii.pdf	PROPN
amfbr-346	271	4	http://www.bidabad.com/doc/l1-article6.pdf	http://www.bidabad.com/doc/l1-article6.pdf	PROPN
amfbr-346	271	5	http://www.bidabad.com/doc/l1-article5.pdf	http://www.bidabad.com/doc/l1-article5.pdf	PROPN
amfbr-346	271	6	copyright	copyright	NOUN
amfbr-346	271	7	©	©	PROPN
amfbr-346	271	8	cc	cc	PROPN
amfbr-346	271	9	-	-	PUNCT
amfbr-346	271	10	by	by	ADP
amfbr-346	271	11	-	-	PUNCT
amfbr-346	271	12	nc	nc	PROPN
amfbr-346	271	13	2019	2019	NUM
amfbr-346	271	14	,	,	PUNCT
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amfbr-346	271	16	|	|	ADV
amfbr-346	271	17	amfbr	amfbr	ADJ
amfbr-346	271	18	www.cribfb.com/journal/index.php/amfbr	www.cribfb.com/journal/index.php/amfbr	PROPN
amfbr-346	271	19	american	american	PROPN
amfbr-346	271	20	finance	finance	PROPN
amfbr-346	271	21	&	&	CCONJ
amfbr-346	271	22	banking	banking	PROPN
amfbr-346	271	23	review	review	PROPN
amfbr-346	271	24	vol	vol	NOUN
amfbr-346	271	25	.	.	PROPN
amfbr-346	272	1	4	4	NUM
amfbr-346	272	2	,	,	PUNCT
amfbr-346	272	3	no	no	INTJ
amfbr-346	272	4	.	.	NOUN
amfbr-346	272	5	2	2	NUM
amfbr-346	272	6	;	;	PUNCT
amfbr-346	272	7	2019	2019	NUM
amfbr-346	272	8	25	25	NUM
amfbr-346	272	9	https://www.cribfb.com/journal/index.php/afbr/article/view/317	https://www.cribfb.com/journal/index.php/afbr/article/view/317	ADJ
amfbr-346	272	10	http://www.bidabad.com/doc/l1-articl1.pdf	http://www.bidabad.com/doc/l1-articl1.pdf	NOUN
amfbr-346	272	11	bidabad	bidabad	VERB
amfbr-346	272	12	,	,	PUNCT
amfbr-346	272	13	bijan	bijan	PROPN
amfbr-346	272	14	(	(	PUNCT
amfbr-346	272	15	2019	2019	NUM
amfbr-346	272	16	)	)	PUNCT
amfbr-346	272	17	new	new	ADJ
amfbr-346	272	18	algorithms	algorithm	NOUN
amfbr-346	272	19	for	for	ADP
amfbr-346	272	20	the	the	DET
amfbr-346	272	21	l1	l1	PROPN
amfbr-346	272	22	norm	norm	PROPN
amfbr-346	272	23	regression	regression	PROPN
amfbr-346	272	24	.	.	PUNCT
amfbr-346	273	1	bangladesh	bangladesh	PROPN
amfbr-346	273	2	journal	journal	PROPN
amfbr-346	273	3	of	of	ADP
amfbr-346	273	4	multidisciplinary	multidisciplinary	ADJ
amfbr-346	273	5	scientific	scientific	ADJ
amfbr-346	273	6	research	research	NOUN
amfbr-346	273	7	,	,	PUNCT
amfbr-346	273	8	vol	vol	NOUN
amfbr-346	273	9	.	.	PROPN
amfbr-346	273	10	1	1	NUM
amfbr-346	273	11	,	,	PUNCT
amfbr-346	273	12	no	no	INTJ
amfbr-346	273	13	.	.	NOUN
amfbr-346	273	14	1	1	NUM
amfbr-346	273	15	,	,	PUNCT
amfbr-346	273	16	pp	pp	ADJ
amfbr-346	273	17	.	.	PUNCT
amfbr-346	274	1	1	1	NUM
amfbr-346	274	2	-	-	SYM
amfbr-346	274	3	18	18	NUM
amfbr-346	274	4	,	,	PUNCT
amfbr-346	274	5	2019	2019	NUM
amfbr-346	274	6	.	.	PUNCT
amfbr-346	275	1	http://www.bidabad.com/doc/l1-article2.pdf	http://www.bidabad.com/doc/l1-article2.pdf	NOUN
amfbr-346	275	2	https://www.cribfb.com/journal/index.php/bjmsr/article/view/311	https://www.cribfb.com/journal/index.php/bjmsr/article/view/311	NOUN
amfbr-346	275	3	bidabad	bidabad	ADV
amfbr-346	275	4	,	,	PUNCT
amfbr-346	275	5	bijan	bijan	PROPN
amfbr-346	275	6	(	(	PUNCT
amfbr-346	275	7	2019	2019	NUM
amfbr-346	275	8	)	)	PUNCT
amfbr-346	275	9	comparative	comparative	ADJ
amfbr-346	275	10	study	study	NOUN
amfbr-346	275	11	of	of	ADP
amfbr-346	275	12	the	the	DET
amfbr-346	275	13	l1	l1	PROPN
amfbr-346	275	14	norm	norm	PROPN
amfbr-346	275	15	regression	regression	NOUN
amfbr-346	275	16	algorithms	algorithm	NOUN
amfbr-346	275	17	.	.	PUNCT
amfbr-346	276	1	bangladesh	bangladesh	PROPN
amfbr-346	276	2	journal	journal	PROPN
amfbr-346	276	3	of	of	ADP
amfbr-346	276	4	multidisciplinary	multidisciplinary	ADJ
amfbr-346	276	5	scientific	scientific	ADJ
amfbr-346	276	6	research	research	NOUN
amfbr-346	276	7	,	,	PUNCT
amfbr-346	276	8	vol	vol	NOUN
amfbr-346	276	9	.	.	PROPN
amfbr-346	276	10	1	1	NUM
amfbr-346	276	11	,	,	PUNCT
amfbr-346	276	12	no	no	INTJ
amfbr-346	276	13	.	.	NOUN
amfbr-346	276	14	1	1	NUM
amfbr-346	276	15	,	,	PUNCT
amfbr-346	276	16	pp	pp	ADJ
amfbr-346	276	17	.	.	PUNCT
amfbr-346	277	1	31	31	NUM
amfbr-346	277	2	-	-	SYM
amfbr-346	277	3	40	40	NUM
amfbr-346	277	4	,	,	PUNCT
amfbr-346	277	5	2019	2019	NUM
amfbr-346	277	6	.	.	PUNCT
amfbr-346	278	1	http://www.bidabad.com/doc/l1-article3.pdf	http://www.bidabad.com/doc/l1-article3.pdf	NOUN
amfbr-346	278	2	https://www.cribfb.com/journal/index.php/bjmsr/article/view/313	https://www.cribfb.com/journal/index.php/bjmsr/article/view/313	X
amfbr-346	278	3	bidabad	bidabad	NOUN
amfbr-346	278	4	,	,	PUNCT
amfbr-346	278	5	bijan	bijan	PROPN
amfbr-346	278	6	(	(	PUNCT
amfbr-346	278	7	2019	2019	NUM
amfbr-346	278	8	)	)	PUNCT
amfbr-346	278	9	continuous	continuous	ADJ
amfbr-346	278	10	l1	l1	PROPN
amfbr-346	278	11	norm	norm	NOUN
amfbr-346	278	12	estimation	estimation	NOUN
amfbr-346	278	13	of	of	ADP
amfbr-346	278	14	lorenz	lorenz	PROPN
amfbr-346	278	15	curve	curve	PROPN
amfbr-346	278	16	.	.	PUNCT
amfbr-346	279	1	bangladesh	bangladesh	PROPN
amfbr-346	279	2	journal	journal	PROPN
amfbr-346	279	3	of	of	ADP
amfbr-346	279	4	multidisciplinary	multidisciplinary	ADJ
amfbr-346	279	5	scientific	scientific	ADJ
amfbr-346	279	6	research	research	NOUN
amfbr-346	279	7	,	,	PUNCT
amfbr-346	279	8	vol	vol	NOUN
amfbr-346	279	9	.	.	PROPN
amfbr-346	279	10	1	1	NUM
amfbr-346	279	11	,	,	PUNCT
amfbr-346	279	12	no	no	INTJ
amfbr-346	279	13	.	.	NOUN
amfbr-346	279	14	1	1	NUM
amfbr-346	279	15	,	,	PUNCT
amfbr-346	279	16	pp	pp	ADJ
amfbr-346	279	17	.	.	PUNCT
amfbr-346	280	1	41	41	NUM
amfbr-346	280	2	-	-	SYM
amfbr-346	280	3	49	49	NUM
amfbr-346	280	4	,	,	PUNCT
amfbr-346	280	5	2019	2019	NUM
amfbr-346	280	6	.	.	PUNCT
amfbr-346	281	1	http://www.bidabad.com/doc/l1-articl4.pdf	http://www.bidabad.com/doc/l1-articl4.pdf	VERB
amfbr-346	281	2	https://www.cribfb.com/journal/index.php/bjmsr/article/view/313	https://www.cribfb.com/journal/index.php/bjmsr/article/view/313	PROPN
amfbr-346	281	3	bidabad	bidabad	PROPN
amfbr-346	281	4	,	,	PUNCT
amfbr-346	281	5	bijan	bijan	PROPN
amfbr-346	281	6	(	(	PUNCT
amfbr-346	281	7	2019	2019	NUM
amfbr-346	281	8	)	)	PUNCT
amfbr-346	281	9	estimating	estimate	VERB
amfbr-346	281	10	lorenz	lorenz	PROPN
amfbr-346	281	11	curve	curve	NOUN
amfbr-346	281	12	for	for	ADP
amfbr-346	281	13	iran	iran	PROPN
amfbr-346	281	14	by	by	ADP
amfbr-346	281	15	using	use	VERB
amfbr-346	281	16	continuous	continuous	ADJ
amfbr-346	281	17	l1	l1	PROPN
amfbr-346	281	18	norm	norm	NOUN
amfbr-346	281	19	estimation	estimation	PROPN
amfbr-346	281	20	,	,	PUNCT
amfbr-346	281	21	economics	economic	NOUN
amfbr-346	281	22	and	and	CCONJ
amfbr-346	281	23	management	management	NOUN
amfbr-346	281	24	journal	journal	NOUN
amfbr-346	281	25	,	,	PUNCT
amfbr-346	281	26	islamic	islamic	PROPN
amfbr-346	281	27	azad	azad	PROPN
amfbr-346	281	28	university	university	PROPN
amfbr-346	281	29	,	,	PUNCT
amfbr-346	281	30	no	no	INTJ
amfbr-346	281	31	.	.	NOUN
amfbr-346	281	32	19	19	NUM
amfbr-346	281	33	,	,	PUNCT
amfbr-346	281	34	winter	winter	NOUN
amfbr-346	281	35	1993	1993	NUM
amfbr-346	281	36	,	,	PUNCT
amfbr-346	281	37	pp	pp	ADV
amfbr-346	281	38	.	.	PUNCT
amfbr-346	282	1	83	83	NUM
amfbr-346	282	2	-	-	SYM
amfbr-346	282	3	101	101	NUM
amfbr-346	282	4	.	.	PUNCT
amfbr-346	283	1	reprinted	reprint	VERB
amfbr-346	283	2	:	:	PUNCT
amfbr-346	283	3	international	international	ADJ
amfbr-346	283	4	journal	journal	NOUN
amfbr-346	283	5	of	of	ADP
amfbr-346	283	6	marketing	marketing	NOUN
amfbr-346	283	7	research	research	NOUN
amfbr-346	283	8	innovation	innovation	NOUN
amfbr-346	283	9	,	,	PUNCT
amfbr-346	283	10	3(1	3(1	NUM
amfbr-346	283	11	)	)	PUNCT
amfbr-346	283	12	,	,	PUNCT
amfbr-346	283	13	11	11	NUM
amfbr-346	283	14	-	-	SYM
amfbr-346	283	15	21	21	NUM
amfbr-346	283	16	,	,	PUNCT
amfbr-346	283	17	2019	2019	NUM
amfbr-346	283	18	.	.	PUNCT
amfbr-346	284	1	https://www.cribfb.com/journal/index.php/ijmri/article/view/322	https://www.cribfb.com/journal/index.php/ijmri/article/view/322	PROPN
amfbr-346	284	2	http://www.bidabad.com/doc/iraninc-l1.pdf	http://www.bidabad.com/doc/iraninc-l1.pdf	NOUN
amfbr-346	284	3	bidabad	bidabad	NOUN
amfbr-346	284	4	,	,	PUNCT
amfbr-346	284	5	bijan	bijan	PROPN
amfbr-346	284	6	,	,	PUNCT
amfbr-346	284	7	hamid	hamid	PROPN
amfbr-346	284	8	shahrestani	shahrestani	PROPN
amfbr-346	284	9	(	(	PUNCT
amfbr-346	284	10	2010	2010	NUM
amfbr-346	284	11	)	)	PUNCT
amfbr-346	284	12	an	an	DET
amfbr-346	284	13	implied	imply	VERB
amfbr-346	284	14	inequality	inequality	NOUN
amfbr-346	284	15	index	index	NOUN
amfbr-346	284	16	using	use	VERB
amfbr-346	284	17	l1	l1	PROPN
amfbr-346	284	18	norm	norm	NOUN
amfbr-346	284	19	estimation	estimation	NOUN
amfbr-346	284	20	of	of	ADP
amfbr-346	284	21	lorenz	lorenz	PROPN
amfbr-346	284	22	curve	curve	PROPN
amfbr-346	284	23	.	.	PUNCT
amfbr-346	285	1	global	global	ADJ
amfbr-346	285	2	conference	conference	NOUN
amfbr-346	285	3	on	on	ADP
amfbr-346	285	4	business	business	NOUN
amfbr-346	285	5	and	and	CCONJ
amfbr-346	285	6	finance	finance	NOUN
amfbr-346	285	7	proceedings	proceeding	NOUN
amfbr-346	285	8	.	.	PUNCT
amfbr-346	286	1	mercedes	mercede	NOUN
amfbr-346	286	2	jalbert	jalbert	PROPN
amfbr-346	286	3	,	,	PUNCT
amfbr-346	286	4	managing	managing	NOUN
amfbr-346	286	5	editor	editor	NOUN
amfbr-346	286	6	,	,	PUNCT
amfbr-346	286	7	issn	issn	PROPN
amfbr-346	286	8	1931	1931	NUM
amfbr-346	286	9	-	-	SYM
amfbr-346	286	10	0285	0285	NUM
amfbr-346	286	11	cd	cd	PROPN
amfbr-346	286	12	,	,	PUNCT
amfbr-346	286	13	issn	issn	PROPN
amfbr-346	286	14	1941	1941	NUM
amfbr-346	286	15	-	-	SYM
amfbr-346	286	16	9589	9589	NUM
amfbr-346	286	17	online	online	NOUN
amfbr-346	286	18	,	,	PUNCT
amfbr-346	286	19	volume	volume	NOUN
amfbr-346	286	20	3	3	NUM
amfbr-346	286	21	,	,	PUNCT
amfbr-346	286	22	number	number	NOUN
amfbr-346	286	23	2	2	NUM
amfbr-346	286	24	,	,	PUNCT
amfbr-346	286	25	2008	2008	NUM
amfbr-346	286	26	,	,	PUNCT
amfbr-346	286	27	the	the	DET
amfbr-346	286	28	institute	institute	NOUN
amfbr-346	286	29	for	for	ADP
amfbr-346	286	30	business	business	NOUN
amfbr-346	286	31	and	and	CCONJ
amfbr-346	286	32	finance	finance	NOUN
amfbr-346	286	33	research	research	NOUN
amfbr-346	286	34	,	,	PUNCT
amfbr-346	286	35	ramada	ramada	PROPN
amfbr-346	286	36	plaza	plaza	PROPN
amfbr-346	286	37	herradura	herradura	NOUN
amfbr-346	286	38	,	,	PUNCT
amfbr-346	286	39	san	san	PROPN
amfbr-346	286	40	jose	jose	PROPN
amfbr-346	286	41	,	,	PUNCT
amfbr-346	286	42	costa	costa	PROPN
amfbr-346	286	43	rica	rica	PROPN
amfbr-346	286	44	,	,	PUNCT
amfbr-346	286	45	may	may	AUX
amfbr-346	286	46	28	28	NUM
amfbr-346	286	47	-	-	SYM
amfbr-346	286	48	31	31	NUM
amfbr-346	286	49	,	,	PUNCT
amfbr-346	286	50	2008	2008	NUM
amfbr-346	286	51	,	,	PUNCT
amfbr-346	286	52	pp	pp	ADJ
amfbr-346	286	53	.	.	PUNCT
amfbr-346	287	1	148	148	NUM
amfbr-346	287	2	-	-	SYM
amfbr-346	287	3	163	163	NUM
amfbr-346	287	4	.	.	PUNCT
amfbr-346	288	1	global	global	ADJ
amfbr-346	288	2	journal	journal	PROPN
amfbr-346	288	3	of	of	ADP
amfbr-346	288	4	business	business	NOUN
amfbr-346	288	5	research	research	NOUN
amfbr-346	288	6	,	,	PUNCT
amfbr-346	288	7	vol	vol	NOUN
amfbr-346	288	8	.	.	PROPN
amfbr-346	288	9	4	4	NUM
amfbr-346	288	10	,	,	PUNCT
amfbr-346	288	11	no	no	INTJ
amfbr-346	288	12	.	.	NOUN
amfbr-346	288	13	1	1	NUM
amfbr-346	288	14	,	,	PUNCT
amfbr-346	288	15	2010	2010	NUM
amfbr-346	288	16	,	,	PUNCT
amfbr-346	288	17	pp.29	pp.29	NOUN
amfbr-346	288	18	-	-	PUNCT
amfbr-346	288	19	45	45	NUM
amfbr-346	288	20	.	.	PUNCT
amfbr-346	289	1	http://www.bidabad.com/doc/l1-implied-inequality-index-4.pdf	http://www.bidabad.com/doc/l1-implied-inequality-index-4.pdf	PROPN
amfbr-346	289	2	http://www.bidabad.com/doc/ssrn-id1631861.pdf	http://www.bidabad.com/doc/ssrn-id1631861.pdf	PROPN
amfbr-346	289	3	bidabad	bidabad	NOUN
amfbr-346	289	4	,	,	PUNCT
amfbr-346	289	5	bijan	bijan	PROPN
amfbr-346	289	6	,	,	PUNCT
amfbr-346	289	7	behrouz	behrouz	ADJ
amfbr-346	289	8	bidabad	bidabad	NOUN
amfbr-346	289	9	(	(	PUNCT
amfbr-346	289	10	2019	2019	NUM
amfbr-346	289	11	)	)	PUNCT
amfbr-346	289	12	functional	functional	ADJ
amfbr-346	289	13	form	form	NOUN
amfbr-346	289	14	for	for	ADP
amfbr-346	289	15	estimating	estimate	VERB
amfbr-346	289	16	the	the	DET
amfbr-346	289	17	lorenz	lorenz	PROPN
amfbr-346	289	18	curve	curve	NOUN
amfbr-346	289	19	,	,	PUNCT
amfbr-346	289	20	australasian	australasian	ADJ
amfbr-346	289	21	econometric	econometric	ADJ
amfbr-346	289	22	meeting	meeting	NOUN
amfbr-346	289	23	,	,	PUNCT
amfbr-346	289	24	australian	australian	ADJ
amfbr-346	289	25	national	national	PROPN
amfbr-346	289	26	university	university	PROPN
amfbr-346	289	27	,	,	PUNCT
amfbr-346	289	28	australia	australia	PROPN
amfbr-346	289	29	,	,	PUNCT
amfbr-346	289	30	1989	1989	NUM
amfbr-346	289	31	.	.	PUNCT
amfbr-346	290	1	american	american	PROPN
amfbr-346	290	2	finance	finance	PROPN
amfbr-346	290	3	&	&	CCONJ
amfbr-346	290	4	banking	banking	PROPN
amfbr-346	290	5	review	review	PROPN
amfbr-346	290	6	,	,	PUNCT
amfbr-346	290	7	4(1	4(1	NOUN
amfbr-346	290	8	)	)	PUNCT
amfbr-346	290	9	,	,	PUNCT
amfbr-346	290	10	17	17	NUM
amfbr-346	290	11	-	-	SYM
amfbr-346	290	12	21	21	NUM
amfbr-346	290	13	,	,	PUNCT
amfbr-346	290	14	2019	2019	NUM
amfbr-346	290	15	.	.	PUNCT
amfbr-346	291	1	https://www.cribfb.com/journal/index.php/amfbr/article/view/286	https://www.cribfb.com/journal/index.php/amfbr/article/view/286	ADJ
amfbr-346	291	2	http://www.bidabad.com/doc/functional-form-lorenz.pdf	http://www.bidabad.com/doc/functional-form-lorenz.pdf	PROPN
amfbr-346	291	3	http://www.bidabad.com/doc/functional-form-lorenz.pptx	http://www.bidabad.com/doc/functional-form-lorenz.pptx	PROPN
amfbr-346	291	4	cramer	cramer	PROPN
amfbr-346	291	5	j.s	j.s	PROPN
amfbr-346	291	6	.	.	PUNCT
amfbr-346	292	1	(	(	PUNCT
amfbr-346	292	2	1973	1973	NUM
amfbr-346	292	3	)	)	PUNCT
amfbr-346	292	4	empirical	empirical	ADJ
amfbr-346	292	5	econometrics	econometric	NOUN
amfbr-346	292	6	.	.	PUNCT
amfbr-346	293	1	north	north	NOUN
amfbr-346	293	2	-	-	PUNCT
amfbr-346	293	3	holland	holland	PROPN
amfbr-346	293	4	,	,	PUNCT
amfbr-346	293	5	amsterdam	amsterdam	PROPN
amfbr-346	293	6	.	.	PUNCT
amfbr-346	294	1	gupta	gupta	PROPN
amfbr-346	294	2	m.r	m.r	PROPN
amfbr-346	294	3	.	.	PROPN
amfbr-346	295	1	(	(	PUNCT
amfbr-346	295	2	1984	1984	NUM
amfbr-346	295	3	)	)	PUNCT
amfbr-346	295	4	functional	functional	ADJ
amfbr-346	295	5	forms	form	NOUN
amfbr-346	295	6	for	for	ADP
amfbr-346	295	7	estimating	estimate	VERB
amfbr-346	295	8	the	the	DET
amfbr-346	295	9	lorenz	lorenz	PROPN
amfbr-346	295	10	curve	curve	NOUN
amfbr-346	295	11	.	.	PUNCT
amfbr-346	296	1	econometrica	econometrica	PROPN
amfbr-346	296	2	,	,	PUNCT
amfbr-346	296	3	52	52	NUM
amfbr-346	296	4	,	,	PUNCT
amfbr-346	296	5	1313	1313	NUM
amfbr-346	296	6	-	-	SYM
amfbr-346	296	7	1314	1314	NUM
amfbr-346	296	8	.	.	PUNCT
amfbr-346	297	1	hobby	hobby	PROPN
amfbr-346	297	2	c.r	c.r	PROPN
amfbr-346	297	3	.	.	PROPN
amfbr-346	297	4	,	,	PUNCT
amfbr-346	297	5	j.r	j.r	PROPN
amfbr-346	297	6	.	.	PROPN
amfbr-346	297	7	rice	rice	PROPN
amfbr-346	297	8	(	(	PUNCT
amfbr-346	297	9	1965	1965	NUM
amfbr-346	297	10	)	)	PUNCT
amfbr-346	297	11	a	a	DET
amfbr-346	297	12	moment	moment	NOUN
amfbr-346	297	13	problem	problem	NOUN
amfbr-346	297	14	in	in	ADP
amfbr-346	297	15	l1	l1	PROPN
amfbr-346	297	16	approximation	approximation	NOUN
amfbr-346	297	17	.	.	PUNCT
amfbr-346	298	1	proc	proc	PROPN
amfbr-346	298	2	.	.	PUNCT
amfbr-346	299	1	amer	amer	PROPN
amfbr-346	299	2	.	.	PUNCT
amfbr-346	299	3	math	math	PROPN
amfbr-346	299	4	.	.	PUNCT
amfbr-346	300	1	soc	soc	PROPN
amfbr-346	300	2	.	.	PUNCT
amfbr-346	300	3	,	,	PUNCT
amfbr-346	300	4	16	16	NUM
amfbr-346	300	5	,	,	PUNCT
amfbr-346	300	6	665	665	NUM
amfbr-346	300	7	-	-	SYM
amfbr-346	300	8	670	670	NUM
amfbr-346	300	9	.	.	PUNCT
amfbr-346	301	1	kakwani	kakwani	PROPN
amfbr-346	301	2	n.c	n.c	PROPN
amfbr-346	301	3	.	.	PROPN
amfbr-346	301	4	(	(	PUNCT
amfbr-346	301	5	1980	1980	NUM
amfbr-346	301	6	)	)	PUNCT
amfbr-346	301	7	income	income	NOUN
amfbr-346	301	8	inequality	inequality	NOUN
amfbr-346	301	9	and	and	CCONJ
amfbr-346	301	10	poverty	poverty	NOUN
amfbr-346	301	11	.	.	PUNCT
amfbr-346	302	1	new	new	PROPN
amfbr-346	302	2	york	york	PROPN
amfbr-346	302	3	,	,	PUNCT
amfbr-346	302	4	oxford	oxford	PROPN
amfbr-346	302	5	university	university	PROPN
amfbr-346	302	6	press	press	NOUN
amfbr-346	302	7	.	.	PUNCT
amfbr-346	303	1	kakwani	kakwani	PROPN
amfbr-346	303	2	n.c	n.c	PROPN
amfbr-346	303	3	.	.	PROPN
amfbr-346	303	4	(	(	PUNCT
amfbr-346	303	5	1980	1980	NUM
amfbr-346	303	6	)	)	PUNCT
amfbr-346	303	7	functional	functional	ADJ
amfbr-346	303	8	forms	form	NOUN
amfbr-346	303	9	for	for	ADP
amfbr-346	303	10	estimating	estimate	VERB
amfbr-346	303	11	the	the	DET
amfbr-346	303	12	lorenz	lorenz	PROPN
amfbr-346	303	13	curve	curve	NOUN
amfbr-346	303	14	:	:	PUNCT
amfbr-346	303	15	a	a	DET
amfbr-346	303	16	reply	reply	NOUN
amfbr-346	303	17	.	.	PUNCT
amfbr-346	304	1	econometrica	econometrica	PROPN
amfbr-346	304	2	,	,	PUNCT
amfbr-346	304	3	48	48	NUM
amfbr-346	304	4	,	,	PUNCT
amfbr-346	304	5	1063	1063	NUM
amfbr-346	304	6	-	-	SYM
amfbr-346	304	7	64	64	NUM
amfbr-346	304	8	.	.	PUNCT
amfbr-346	305	1	kakwani	kakwani	PROPN
amfbr-346	305	2	n.c	n.c	PROPN
amfbr-346	305	3	.	.	PROPN
amfbr-346	305	4	,	,	PUNCT
amfbr-346	305	5	n.	n.	NOUN
amfbr-346	305	6	podder	podder	NOUN
amfbr-346	305	7	(	(	PUNCT
amfbr-346	305	8	1976	1976	NUM
amfbr-346	305	9	)	)	PUNCT
amfbr-346	305	10	efficient	efficient	ADJ
amfbr-346	305	11	estimation	estimation	NOUN
amfbr-346	305	12	of	of	ADP
amfbr-346	305	13	the	the	DET
amfbr-346	305	14	lorenz	lorenz	PROPN
amfbr-346	305	15	curve	curve	NOUN
amfbr-346	305	16	and	and	CCONJ
amfbr-346	305	17	associated	associated	ADJ
amfbr-346	305	18	inequality	inequality	NOUN
amfbr-346	305	19	measures	measure	NOUN
amfbr-346	305	20	from	from	ADP
amfbr-346	305	21	grouped	group	VERB
amfbr-346	305	22	observations	observation	NOUN
amfbr-346	305	23	.	.	PUNCT
amfbr-346	306	1	econometrica	econometrica	PROPN
amfbr-346	306	2	,	,	PUNCT
amfbr-346	306	3	44	44	NUM
amfbr-346	306	4	,	,	PUNCT
amfbr-346	306	5	137	137	NUM
amfbr-346	306	6	-	-	SYM
amfbr-346	306	7	148	148	NUM
amfbr-346	306	8	.	.	PUNCT
amfbr-346	307	1	kendall	kendall	PROPN
amfbr-346	307	2	m.	m.	PROPN
amfbr-346	307	3	,	,	PUNCT
amfbr-346	307	4	a.	a.	PROPN
amfbr-346	307	5	stuart	stuart	PROPN
amfbr-346	307	6	(	(	PUNCT
amfbr-346	307	7	1977	1977	NUM
amfbr-346	307	8	)	)	PUNCT
amfbr-346	307	9	the	the	DET
amfbr-346	307	10	advanced	advanced	ADJ
amfbr-346	307	11	theory	theory	NOUN
amfbr-346	307	12	of	of	ADP
amfbr-346	307	13	statistics	statistic	NOUN
amfbr-346	307	14	.	.	PUNCT
amfbr-346	308	1	vol.1	vol.1	ADV
amfbr-346	308	2	,	,	PUNCT
amfbr-346	308	3	charles	charles	PROPN
amfbr-346	308	4	griffin	griffin	PROPN
amfbr-346	308	5	&	&	CCONJ
amfbr-346	308	6	co.	co.	PROPN
amfbr-346	308	7	,	,	PUNCT
amfbr-346	308	8	london	london	PROPN
amfbr-346	308	9	.	.	PUNCT
amfbr-346	309	1	kripke	kripke	PROPN
amfbr-346	309	2	b.r	b.r	PROPN
amfbr-346	309	3	.	.	PROPN
amfbr-346	309	4	,	,	PUNCT
amfbr-346	309	5	t.j	t.j	PROPN
amfbr-346	309	6	.	.	PROPN
amfbr-346	309	7	rivlin	rivlin	PROPN
amfbr-346	309	8	(	(	PUNCT
amfbr-346	309	9	1965	1965	NUM
amfbr-346	309	10	)	)	PUNCT
amfbr-346	309	11	approximation	approximation	NOUN
amfbr-346	309	12	in	in	ADP
amfbr-346	309	13	the	the	DET
amfbr-346	309	14	metric	metric	NOUN
amfbr-346	309	15	of	of	ADP
amfbr-346	309	16	l1(x	l1(x	PROPN
amfbr-346	309	17	,	,	PUNCT
amfbr-346	309	18	u	u	NOUN
amfbr-346	309	19	)	)	PUNCT
amfbr-346	309	20	.	.	PUNCT
amfbr-346	310	1	trans	trans	PROPN
amfbr-346	310	2	.	.	PUNCT
amfbr-346	311	1	amer	amer	PROPN
amfbr-346	311	2	.	.	PUNCT
amfbr-346	311	3	math	math	PROPN
amfbr-346	311	4	.	.	PUNCT
amfbr-346	312	1	soc	soc	PROPN
amfbr-346	312	2	.	.	PUNCT
amfbr-346	312	3	,	,	PUNCT
amfbr-346	312	4	119	119	NUM
amfbr-346	312	5	,	,	PUNCT
amfbr-346	312	6	101	101	NUM
amfbr-346	312	7	-	-	SYM
amfbr-346	312	8	22	22	NUM
amfbr-346	312	9	.	.	PUNCT
amfbr-346	313	1	lazarski	lazarski	PROPN
amfbr-346	313	2	e.	e.	PROPN
amfbr-346	313	3	(	(	PUNCT
amfbr-346	313	4	1975a	1975a	NUM
amfbr-346	313	5	)	)	PUNCT
amfbr-346	313	6	approximation	approximation	NOUN
amfbr-346	313	7	of	of	ADP
amfbr-346	313	8	continuous	continuous	ADJ
amfbr-346	313	9	functions	function	NOUN
amfbr-346	313	10	in	in	ADP
amfbr-346	313	11	the	the	DET
amfbr-346	313	12	space	space	NOUN
amfbr-346	313	13	l1	l1	PROPN
amfbr-346	313	14	.	.	PROPN
amfbr-346	313	15	automatika	automatika	PROPN
amfbr-346	313	16	,	,	PUNCT
amfbr-346	313	17	487	487	NUM
amfbr-346	313	18	,	,	PUNCT
amfbr-346	313	19	85	85	NUM
amfbr-346	313	20	-	-	SYM
amfbr-346	313	21	93	93	NUM
amfbr-346	313	22	.	.	PUNCT
amfbr-346	314	1	lazarski	lazarski	PROPN
amfbr-346	314	2	e.	e.	PROPN
amfbr-346	314	3	(	(	PUNCT
amfbr-346	314	4	1975b	1975b	NUM
amfbr-346	314	5	)	)	PUNCT
amfbr-346	314	6	the	the	DET
amfbr-346	314	7	approximation	approximation	NOUN
amfbr-346	314	8	of	of	ADP
amfbr-346	314	9	the	the	DET
amfbr-346	314	10	continuous	continuous	ADJ
amfbr-346	314	11	function	function	NOUN
amfbr-346	314	12	by	by	ADP
amfbr-346	314	13	the	the	DET
amfbr-346	314	14	polynomials	polynomial	NOUN
amfbr-346	314	15	of	of	ADP
amfbr-346	314	16	power	power	NOUN
amfbr-346	314	17	functions	function	NOUN
amfbr-346	314	18	in	in	ADP
amfbr-346	314	19	l1	l1	PROPN
amfbr-346	314	20	space	space	NOUN
amfbr-346	314	21	.	.	PUNCT
amfbr-346	315	1	automatika	automatika	PROPN
amfbr-346	315	2	,	,	PUNCT
amfbr-346	315	3	487	487	NUM
amfbr-346	315	4	,	,	PUNCT
amfbr-346	315	5	95	95	NUM
amfbr-346	315	6	-	-	SYM
amfbr-346	315	7	106	106	NUM
amfbr-346	315	8	.	.	PUNCT
amfbr-346	316	1	lazarski	lazarski	PROPN
amfbr-346	316	2	e.	e.	PROPN
amfbr-346	316	3	(	(	PUNCT
amfbr-346	316	4	1975c	1975c	NUM
amfbr-346	316	5	)	)	PUNCT
amfbr-346	316	6	on	on	ADP
amfbr-346	316	7	the	the	DET
amfbr-346	316	8	necessary	necessary	ADJ
amfbr-346	316	9	conditions	condition	NOUN
amfbr-346	316	10	of	of	ADP
amfbr-346	316	11	the	the	DET
amfbr-346	316	12	uniqueness	uniqueness	NOUN
amfbr-346	316	13	of	of	ADP
amfbr-346	316	14	approximation	approximation	NOUN
amfbr-346	316	15	by	by	ADP
amfbr-346	316	16	the	the	DET
amfbr-346	316	17	polynomials	polynomial	NOUN
amfbr-346	316	18	of	of	ADP
amfbr-346	316	19	power	power	NOUN
amfbr-346	316	20	functions	function	NOUN
amfbr-346	316	21	in	in	ADP
amfbr-346	316	22	l1	l1	PROPN
amfbr-346	316	23	space	space	NOUN
amfbr-346	316	24	.	.	PUNCT
amfbr-346	317	1	automatika	automatika	PROPN
amfbr-346	317	2	,	,	PUNCT
amfbr-346	317	3	487	487	NUM
amfbr-346	317	4	,	,	PUNCT
amfbr-346	317	5	107	107	NUM
amfbr-346	317	6	-	-	SYM
amfbr-346	317	7	117	117	NUM
amfbr-346	317	8	.	.	PUNCT
amfbr-346	318	1	lazarski	lazarski	PROPN
amfbr-346	318	2	e.	e.	PROPN
amfbr-346	318	3	(	(	PUNCT
amfbr-346	318	4	1977	1977	NUM
amfbr-346	318	5	)	)	PUNCT
amfbr-346	318	6	approximation	approximation	NOUN
amfbr-346	318	7	of	of	ADP
amfbr-346	318	8	continuous	continuous	ADJ
amfbr-346	318	9	functions	function	NOUN
amfbr-346	318	10	by	by	ADP
amfbr-346	318	11	exponential	exponential	ADJ
amfbr-346	318	12	polynomials	polynomial	NOUN
amfbr-346	318	13	in	in	ADP
amfbr-346	318	14	the	the	DET
amfbr-346	318	15	l1	l1	PROPN
amfbr-346	318	16	space	space	NOUN
amfbr-346	318	17	.	.	PUNCT
amfbr-346	319	1	automatika	automatika	PROPN
amfbr-346	319	2	,	,	PUNCT
amfbr-346	319	3	598	598	NUM
amfbr-346	319	4	,	,	PUNCT
amfbr-346	319	5	8287	8287	NUM
amfbr-346	319	6	.	.	PUNCT
amfbr-346	320	1	ptak	ptak	PROPN
amfbr-346	320	2	v.	v.	PROPN
amfbr-346	320	3	(	(	PUNCT
amfbr-346	320	4	1958	1958	NUM
amfbr-346	320	5	)	)	PUNCT
amfbr-346	320	6	on	on	ADP
amfbr-346	320	7	approximation	approximation	NOUN
amfbr-346	320	8	of	of	ADP
amfbr-346	320	9	continuous	continuous	ADJ
amfbr-346	320	10	functions	function	NOUN
amfbr-346	320	11	in	in	ADP
amfbr-346	320	12	the	the	DET
amfbr-346	320	13	metric	metric	ADJ
amfbr-346	320	14	∫a	∫a	VERB
amfbr-346	320	15	b|x(t)|dt	b|x(t)|dt	PROPN
amfbr-346	320	16	czechoslovak	czechoslovak	ADJ
amfbr-346	320	17	math	math	NOUN
amfbr-346	320	18	.	.	PUNCT
amfbr-346	321	1	j.	j.	PROPN
amfbr-346	321	2	8(83	8(83	NUM
amfbr-346	321	3	)	)	PUNCT
amfbr-346	321	4	,	,	PUNCT
amfbr-346	321	5	267	267	NUM
amfbr-346	321	6	-	-	SYM
amfbr-346	321	7	273	273	NUM
amfbr-346	321	8	.	.	PUNCT
amfbr-346	322	1	rasche	rasche	PROPN
amfbr-346	322	2	r.h	r.h	PROPN
amfbr-346	322	3	.	.	PROPN
amfbr-346	322	4	,	,	PUNCT
amfbr-346	322	5	j.	j.	PROPN
amfbr-346	322	6	gaffney	gaffney	PROPN
amfbr-346	322	7	,	,	PUNCT
amfbr-346	322	8	a.y.c	a.y.c	PROPN
amfbr-346	322	9	.	.	PUNCT
amfbr-346	322	10	koo	koo	PROPN
amfbr-346	322	11	,	,	PUNCT
amfbr-346	322	12	n.	n.	PROPN
amfbr-346	322	13	obst	obst	PROPN
amfbr-346	322	14	(	(	PUNCT
amfbr-346	322	15	1980	1980	NUM
amfbr-346	322	16	)	)	PUNCT
amfbr-346	322	17	functional	functional	ADJ
amfbr-346	322	18	forms	form	NOUN
amfbr-346	322	19	for	for	ADP
amfbr-346	322	20	estimating	estimate	VERB
amfbr-346	322	21	the	the	DET
amfbr-346	322	22	lorenz	lorenz	PROPN
amfbr-346	322	23	curve	curve	NOUN
amfbr-346	322	24	.	.	PUNCT
amfbr-346	323	1	econometrica	econometrica	PROPN
amfbr-346	323	2	,	,	PUNCT
amfbr-346	323	3	48	48	NUM
amfbr-346	323	4	,	,	PUNCT
amfbr-346	323	5	1061	1061	NUM
amfbr-346	323	6	-	-	SYM
amfbr-346	323	7	1062	1062	NUM
amfbr-346	323	8	.	.	PUNCT
amfbr-346	324	1	rice	rice	PROPN
amfbr-346	324	2	j.r	j.r	PROPN
amfbr-346	324	3	.	.	PROPN
amfbr-346	324	4	(	(	PUNCT
amfbr-346	324	5	1964a	1964a	NOUN
amfbr-346	324	6	)	)	PUNCT
amfbr-346	324	7	on	on	ADP
amfbr-346	324	8	computation	computation	NOUN
amfbr-346	324	9	of	of	ADP
amfbr-346	324	10	l1	l1	PROPN
amfbr-346	324	11	approximations	approximation	NOUN
amfbr-346	324	12	by	by	ADP
amfbr-346	324	13	exponentials	exponential	NOUN
amfbr-346	324	14	,	,	PUNCT
amfbr-346	324	15	rationals	rational	NOUN
amfbr-346	324	16	,	,	PUNCT
amfbr-346	324	17	and	and	CCONJ
amfbr-346	324	18	other	other	ADJ
amfbr-346	324	19	functions	function	NOUN
amfbr-346	324	20	.	.	PUNCT
amfbr-346	325	1	math	math	NOUN
amfbr-346	325	2	.	.	PUNCT
amfbr-346	326	1	comp	comp	PROPN
amfbr-346	326	2	.	.	PUNCT
amfbr-346	326	3	,	,	PUNCT
amfbr-346	326	4	18	18	NUM
amfbr-346	326	5	,	,	PUNCT
amfbr-346	326	6	390	390	NUM
amfbr-346	326	7	-	-	SYM
amfbr-346	326	8	396	396	NUM
amfbr-346	326	9	.	.	PUNCT
amfbr-346	327	1	rice	rice	PROPN
amfbr-346	327	2	j.r	j.r	PROPN
amfbr-346	327	3	.	.	PROPN
amfbr-346	327	4	(	(	PUNCT
amfbr-346	327	5	1964b	1964b	NUM
amfbr-346	327	6	)	)	PUNCT
amfbr-346	327	7	on	on	ADP
amfbr-346	327	8	nonlinear	nonlinear	PROPN
amfbr-346	327	9	l1	l1	PROPN
amfbr-346	327	10	approximation	approximation	NOUN
amfbr-346	327	11	.	.	PUNCT
amfbr-346	328	1	arch	arch	NOUN
amfbr-346	328	2	.	.	PUNCT
amfbr-346	329	1	rational	rational	ADJ
amfbr-346	329	2	mech	mech	NOUN
amfbr-346	329	3	.	.	PUNCT
amfbr-346	330	1	anal	anal	PROPN
amfbr-346	330	2	.	.	PROPN
amfbr-346	330	3	,	,	PUNCT
amfbr-346	330	4	17	17	NUM
amfbr-346	330	5	61	61	NUM
amfbr-346	330	6	-	-	SYM
amfbr-346	330	7	66	66	NUM
amfbr-346	330	8	.	.	PUNCT
amfbr-346	331	1	rice	rice	PROPN
amfbr-346	331	2	j.r	j.r	PROPN
amfbr-346	331	3	.	.	PROPN
amfbr-346	331	4	(	(	PUNCT
amfbr-346	331	5	1964c	1964c	NUM
amfbr-346	331	6	)	)	PUNCT
amfbr-346	331	7	the	the	DET
amfbr-346	331	8	approximation	approximation	NOUN
amfbr-346	331	9	of	of	ADP
amfbr-346	331	10	functions	function	NOUN
amfbr-346	331	11	,	,	PUNCT
amfbr-346	331	12	vol	vol	NOUN
amfbr-346	331	13	.	.	PUNCT
amfbr-346	332	1	i	i	PRON
amfbr-346	332	2	,	,	PUNCT
amfbr-346	332	3	linear	linear	PROPN
amfbr-346	332	4	theory	theory	NOUN
amfbr-346	332	5	.	.	PUNCT
amfbr-346	333	1	reading	read	VERB
amfbr-346	333	2	mass	mass	PROPN
amfbr-346	333	3	:	:	PUNCT
amfbr-346	333	4	,	,	PUNCT
amfbr-346	333	5	addison	addison	PROPN
amfbr-346	333	6	-	-	PUNCT
amfbr-346	333	7	wesley	wesley	PROPN
amfbr-346	333	8	.	.	PUNCT
amfbr-346	334	1	rice	rice	PROPN
amfbr-346	334	2	j.r	j.r	PROPN
amfbr-346	334	3	.	.	PROPN
amfbr-346	334	4	(	(	PUNCT
amfbr-346	334	5	1969	1969	NUM
amfbr-346	334	6	)	)	PUNCT
amfbr-346	334	7	the	the	DET
amfbr-346	334	8	approximation	approximation	NOUN
amfbr-346	334	9	of	of	ADP
amfbr-346	334	10	functions	function	NOUN
amfbr-346	334	11	,	,	PUNCT
amfbr-346	334	12	vol	vol	NOUN
amfbr-346	334	13	.	.	PUNCT
amfbr-346	334	14	ii	ii	PROPN
amfbr-346	334	15	,	,	PUNCT
amfbr-346	334	16	linear	linear	PROPN
amfbr-346	334	17	theory	theory	NOUN
amfbr-346	334	18	.	.	PUNCT
amfbr-346	335	1	reading	read	VERB
amfbr-346	335	2	mass	mass	PROPN
amfbr-346	335	3	:	:	PUNCT
amfbr-346	335	4	,	,	PUNCT
amfbr-346	335	5	addison	addison	PROPN
amfbr-346	335	6	-	-	PUNCT
amfbr-346	335	7	wesley	wesley	PROPN
amfbr-346	335	8	.	.	PUNCT
amfbr-346	336	1	https://www.cribfb.com/journal/index.php/afbr/article/view/317	https://www.cribfb.com/journal/index.php/afbr/article/view/317	PROPN
amfbr-346	336	2	http://www.bidabad.com/doc/l1-article1.pdf	http://www.bidabad.com/doc/l1-article1.pdf	PROPN
amfbr-346	336	3	http://www.bidabad.com/doc/l1-article1.pdf	http://www.bidabad.com/doc/l1-article1.pdf	PROPN
amfbr-346	336	4	http://www.bidabad.com/doc/l1-article2.pdf	http://www.bidabad.com/doc/l1-article2.pdf	PROPN
amfbr-346	336	5	http://www.bidabad.com/doc/l1-article3.pdf	http://www.bidabad.com/doc/l1-article3.pdf	NOUN
amfbr-346	336	6	http://www.bidabad.com/doc/l1-articl4.pdf	http://www.bidabad.com/doc/l1-articl4.pdf	PROPN
amfbr-346	336	7	http://www.bidabad.com/doc/l1-articl4.pdf	http://www.bidabad.com/doc/l1-articl4.pdf	VERB
amfbr-346	336	8	https://www.cribfb.com/journal/index.php/ijmri/article/view/322	https://www.cribfb.com/journal/index.php/ijmri/article/view/322	PRON
amfbr-346	336	9	http://www.bidabad.com/doc/iraninc-l1.pdf	http://www.bidabad.com/doc/iraninc-l1.pdf	PROPN
amfbr-346	336	10	http://www.bidabad.com/doc/l1-implied-inequality-index-4.pdf	http://www.bidabad.com/doc/l1-implied-inequality-index-4.pdf	PROPN
amfbr-346	336	11	http://www.bidabad.com/doc/ssrn-id1631861.pdf	http://www.bidabad.com/doc/ssrn-id1631861.pdf	PROPN
amfbr-346	336	12	https://www.cribfb.com/journal/index.php/amfbr/article/view/286	https://www.cribfb.com/journal/index.php/amfbr/article/view/286	PROPN
amfbr-346	336	13	http://www.bidabad.com/doc/functional-form-lorenz.pdf	http://www.bidabad.com/doc/functional-form-lorenz.pdf	PROPN
amfbr-346	336	14	http://www.bidabad.com/doc/functional-form-lorenz.pptx	http://www.bidabad.com/doc/functional-form-lorenz.pptx	NOUN
amfbr-346	336	15	http://www.bidabad.com/doc/functional-form-lorenz.pptx	http://www.bidabad.com/doc/functional-form-lorenz.pptx	VERB
amfbr-346	336	16	copyright	copyright	PROPN
amfbr-346	336	17	©	©	PROPN
amfbr-346	336	18	cc	cc	PROPN
amfbr-346	336	19	-	-	PUNCT
amfbr-346	336	20	by	by	ADP
amfbr-346	336	21	-	-	PUNCT
amfbr-346	336	22	nc	nc	PROPN
amfbr-346	336	23	2019	2019	NUM
amfbr-346	336	24	,	,	PUNCT
amfbr-346	336	25	cribfb	cribfb	PROPN
amfbr-346	336	26	|	|	ADV
amfbr-346	336	27	amfbr	amfbr	ADJ
amfbr-346	336	28	www.cribfb.com/journal/index.php/amfbr	www.cribfb.com/journal/index.php/amfbr	PROPN
amfbr-346	336	29	american	american	PROPN
amfbr-346	336	30	finance	finance	PROPN
amfbr-346	336	31	&	&	CCONJ
amfbr-346	336	32	banking	banking	PROPN
amfbr-346	336	33	review	review	PROPN
amfbr-346	336	34	vol	vol	NOUN
amfbr-346	336	35	.	.	PROPN
amfbr-346	337	1	4	4	NUM
amfbr-346	337	2	,	,	PUNCT
amfbr-346	337	3	no	no	INTJ
amfbr-346	337	4	.	.	NOUN
amfbr-346	337	5	2	2	NUM
amfbr-346	337	6	;	;	PUNCT
amfbr-346	337	7	2019	2019	NUM
amfbr-346	337	8	26	26	NUM
amfbr-346	337	9	rice	rice	PROPN
amfbr-346	337	10	j.r	j.r	PROPN
amfbr-346	337	11	.	.	PROPN
amfbr-346	337	12	(	(	PUNCT
amfbr-346	337	13	1985	1985	NUM
amfbr-346	337	14	)	)	PUNCT
amfbr-346	337	15	numerical	numerical	ADJ
amfbr-346	337	16	methods	method	NOUN
amfbr-346	337	17	,	,	PUNCT
amfbr-346	337	18	software	software	NOUN
amfbr-346	337	19	,	,	PUNCT
amfbr-346	337	20	and	and	CCONJ
amfbr-346	337	21	analysis	analysis	NOUN
amfbr-346	337	22	.	.	PUNCT
amfbr-346	338	1	mcgraw	mcgraw	PROPN
amfbr-346	338	2	-	-	PUNCT
amfbr-346	338	3	hill	hill	PROPN
amfbr-346	338	4	,	,	PUNCT
amfbr-346	338	5	ch	ch	NOUN
amfbr-346	338	6	.	.	PROPN
amfbr-346	338	7	11	11	NUM
amfbr-346	338	8	.	.	PUNCT
amfbr-346	339	1	rice	rice	PROPN
amfbr-346	339	2	j.r	j.r	PROPN
amfbr-346	339	3	.	.	PROPN
amfbr-346	339	4	,	,	PUNCT
amfbr-346	339	5	j.s	j.s	PROPN
amfbr-346	339	6	.	.	PROPN
amfbr-346	339	7	white	white	PROPN
amfbr-346	339	8	(	(	PUNCT
amfbr-346	339	9	1964	1964	NUM
amfbr-346	339	10	)	)	PUNCT
amfbr-346	339	11	norms	norm	NOUN
amfbr-346	339	12	for	for	ADP
amfbr-346	339	13	smoothing	smoothing	NOUN
amfbr-346	339	14	and	and	CCONJ
amfbr-346	339	15	estimation	estimation	NOUN
amfbr-346	339	16	.	.	PUNCT
amfbr-346	340	1	siam	siam	PROPN
amfbr-346	340	2	rev	rev	PROPN
amfbr-346	340	3	.	.	PROPN
amfbr-346	340	4	,	,	PUNCT
amfbr-346	340	5	6	6	NUM
amfbr-346	340	6	,	,	PUNCT
amfbr-346	340	7	243	243	NUM
amfbr-346	340	8	-	-	SYM
amfbr-346	340	9	256	256	NUM
amfbr-346	340	10	.	.	PUNCT
amfbr-346	341	1	salem	salem	PROPN
amfbr-346	341	2	a.b.z	a.b.z	NOUN
amfbr-346	341	3	.	.	PUNCT
amfbr-346	341	4	,	,	PUNCT
amfbr-346	341	5	t.d	t.d	PROPN
amfbr-346	341	6	.	.	PROPN
amfbr-346	341	7	mount	mount	PROPN
amfbr-346	341	8	(	(	PUNCT
amfbr-346	341	9	1974	1974	NUM
amfbr-346	341	10	)	)	PUNCT
amfbr-346	341	11	a	a	DET
amfbr-346	341	12	convenient	convenient	ADJ
amfbr-346	341	13	descriptive	descriptive	ADJ
amfbr-346	341	14	model	model	NOUN
amfbr-346	341	15	of	of	ADP
amfbr-346	341	16	income	income	NOUN
amfbr-346	341	17	distribution	distribution	NOUN
amfbr-346	341	18	:	:	PUNCT
amfbr-346	341	19	the	the	DET
amfbr-346	341	20	gamma	gamma	PROPN
amfbr-346	341	21	density	density	PROPN
amfbr-346	341	22	.	.	PUNCT
amfbr-346	342	1	econometrica	econometrica	PROPN
amfbr-346	342	2	,	,	PUNCT
amfbr-346	342	3	42	42	NUM
amfbr-346	342	4	,	,	PUNCT
amfbr-346	342	5	1115	1115	NUM
amfbr-346	342	6	-	-	SYM
amfbr-346	342	7	1127	1127	NUM
amfbr-346	342	8	.	.	PUNCT
amfbr-346	343	1	singh	singh	PROPN
amfbr-346	343	2	s.k	s.k	PROPN
amfbr-346	343	3	.	.	PROPN
amfbr-346	343	4	,	,	PUNCT
amfbr-346	343	5	g.s	g.s	PROPN
amfbr-346	343	6	.	.	PROPN
amfbr-346	343	7	maddala	maddala	PROPN
amfbr-346	343	8	(	(	PUNCT
amfbr-346	343	9	1976	1976	NUM
amfbr-346	343	10	)	)	PUNCT
amfbr-346	343	11	a	a	DET
amfbr-346	343	12	function	function	NOUN
amfbr-346	343	13	for	for	ADP
amfbr-346	343	14	the	the	DET
amfbr-346	343	15	size	size	NOUN
amfbr-346	343	16	distribution	distribution	NOUN
amfbr-346	343	17	of	of	ADP
amfbr-346	343	18	income	income	NOUN
amfbr-346	343	19	.	.	PUNCT
amfbr-346	344	1	econometrica	econometrica	PROPN
amfbr-346	344	2	,	,	PUNCT
amfbr-346	344	3	44	44	NUM
amfbr-346	344	4	,	,	PUNCT
amfbr-346	344	5	963	963	NUM
amfbr-346	344	6	-	-	SYM
amfbr-346	344	7	970	970	NUM
amfbr-346	344	8	.	.	PUNCT
amfbr-346	345	1	slottje	slottje	PROPN
amfbr-346	345	2	d.j	d.j	PROPN
amfbr-346	345	3	.	.	PROPN
amfbr-346	345	4	(	(	PUNCT
amfbr-346	345	5	1989	1989	NUM
amfbr-346	345	6	)	)	PUNCT
amfbr-346	345	7	the	the	DET
amfbr-346	345	8	structure	structure	NOUN
amfbr-346	345	9	of	of	ADP
amfbr-346	345	10	earnings	earning	NOUN
amfbr-346	345	11	and	and	CCONJ
amfbr-346	345	12	the	the	DET
amfbr-346	345	13	measurement	measurement	NOUN
amfbr-346	345	14	of	of	ADP
amfbr-346	345	15	income	income	NOUN
amfbr-346	345	16	inequality	inequality	NOUN
amfbr-346	345	17	in	in	ADP
amfbr-346	345	18	the	the	DET
amfbr-346	345	19	u.s	u.s	PROPN
amfbr-346	345	20	.	.	PROPN
amfbr-346	345	21	,	,	PUNCT
amfbr-346	345	22	north	north	PROPN
amfbr-346	345	23	-	-	PUNCT
amfbr-346	345	24	holland	holland	PROPN
amfbr-346	345	25	publishing	publishing	PROPN
amfbr-346	345	26	company	company	NOUN
amfbr-346	345	27	,	,	PUNCT
amfbr-346	345	28	amsterdam	amsterdam	PROPN
amfbr-346	345	29	.	.	PUNCT
amfbr-346	346	1	taguchi	taguchi	PROPN
amfbr-346	346	2	t.	t.	PROPN
amfbr-346	346	3	(	(	PUNCT
amfbr-346	346	4	1972a	1972a	NUM
amfbr-346	346	5	)	)	PUNCT
amfbr-346	346	6	on	on	ADP
amfbr-346	346	7	the	the	DET
amfbr-346	346	8	two	two	NUM
amfbr-346	346	9	-	-	PUNCT
amfbr-346	346	10	dimensional	dimensional	ADJ
amfbr-346	346	11	concentration	concentration	NOUN
amfbr-346	346	12	surface	surface	NOUN
amfbr-346	346	13	and	and	CCONJ
amfbr-346	346	14	extensions	extension	NOUN
amfbr-346	346	15	of	of	ADP
amfbr-346	346	16	concentration	concentration	NOUN
amfbr-346	346	17	coefficient	coefficient	NOUN
amfbr-346	346	18	and	and	CCONJ
amfbr-346	346	19	pareto	pareto	ADJ
amfbr-346	346	20	distribution	distribution	NOUN
amfbr-346	346	21	to	to	ADP
amfbr-346	346	22	the	the	DET
amfbr-346	346	23	two	two	NUM
amfbr-346	346	24	dimensional	dimensional	ADJ
amfbr-346	346	25	case	case	NOUN
amfbr-346	346	26	-	-	PUNCT
amfbr-346	346	27	i.	i.	NOUN
amfbr-346	346	28	annals	annals	NOUN
amfbr-346	346	29	of	of	ADP
amfbr-346	346	30	the	the	DET
amfbr-346	346	31	inst	inst	NOUN
amfbr-346	346	32	.	.	PUNCT
amfbr-346	347	1	of	of	ADP
amfbr-346	347	2	stat	stat	PROPN
amfbr-346	347	3	.	.	PUNCT
amfbr-346	348	1	math	math	NOUN
amfbr-346	348	2	.	.	PUNCT
amfbr-346	349	1	,	,	PUNCT
amfbr-346	349	2	vol	vol	NOUN
amfbr-346	349	3	.	.	PROPN
amfbr-346	350	1	24	24	NUM
amfbr-346	350	2	,	,	PUNCT
amfbr-346	350	3	no.2	no.2	PROPN
amfbr-346	350	4	,	,	PUNCT
amfbr-346	350	5	355	355	NUM
amfbr-346	350	6	-	-	SYM
amfbr-346	350	7	381	381	NUM
amfbr-346	350	8	.	.	PUNCT
amfbr-346	351	1	taguchi	taguchi	PROPN
amfbr-346	351	2	t.	t.	PROPN
amfbr-346	351	3	(	(	PUNCT
amfbr-346	351	4	1972b	1972b	NUM
amfbr-346	351	5	)	)	PUNCT
amfbr-346	351	6	on	on	ADP
amfbr-346	351	7	the	the	DET
amfbr-346	351	8	two	two	NUM
amfbr-346	351	9	-	-	PUNCT
amfbr-346	351	10	dimensional	dimensional	ADJ
amfbr-346	351	11	concentration	concentration	NOUN
amfbr-346	351	12	surface	surface	NOUN
amfbr-346	351	13	and	and	CCONJ
amfbr-346	351	14	extensions	extension	NOUN
amfbr-346	351	15	of	of	ADP
amfbr-346	351	16	concentration	concentration	NOUN
amfbr-346	351	17	coefficient	coefficient	NOUN
amfbr-346	351	18	and	and	CCONJ
amfbr-346	351	19	pareto	pareto	ADJ
amfbr-346	351	20	distribution	distribution	NOUN
amfbr-346	351	21	to	to	ADP
amfbr-346	351	22	the	the	DET
amfbr-346	351	23	two	two	NUM
amfbr-346	351	24	dimensional	dimensional	ADJ
amfbr-346	351	25	case	case	NOUN
amfbr-346	351	26	-	-	PUNCT
amfbr-346	351	27	ii	ii	NOUN
amfbr-346	351	28	.	.	PUNCT
amfbr-346	352	1	annals	annal	NOUN
amfbr-346	352	2	of	of	ADP
amfbr-346	352	3	the	the	DET
amfbr-346	352	4	inst	inst	NOUN
amfbr-346	352	5	.	.	PUNCT
amfbr-346	353	1	of	of	ADP
amfbr-346	353	2	stat	stat	PROPN
amfbr-346	353	3	.	.	PUNCT
amfbr-346	354	1	math	math	NOUN
amfbr-346	354	2	.	.	PUNCT
amfbr-346	355	1	,	,	PUNCT
amfbr-346	355	2	vol	vol	NOUN
amfbr-346	355	3	.	.	PROPN
amfbr-346	355	4	24	24	NUM
amfbr-346	355	5	,	,	PUNCT
amfbr-346	355	6	no.3	no.3	VERB
amfbr-346	355	7	,	,	PUNCT
amfbr-346	355	8	599	599	NUM
amfbr-346	355	9	-	-	SYM
amfbr-346	355	10	619	619	NUM
amfbr-346	355	11	.	.	PUNCT
amfbr-346	356	1	taguchi	taguchi	PROPN
amfbr-346	356	2	t.	t.	PROPN
amfbr-346	356	3	(	(	PUNCT
amfbr-346	356	4	1972c	1972c	NUM
amfbr-346	356	5	)	)	PUNCT
amfbr-346	356	6	concentration	concentration	NOUN
amfbr-346	356	7	polyhedron	polyhedron	NOUN
amfbr-346	356	8	,	,	PUNCT
amfbr-346	356	9	two	two	NUM
amfbr-346	356	10	dimensional	dimensional	ADJ
amfbr-346	356	11	concentration	concentration	NOUN
amfbr-346	356	12	coefficient	coefficient	NOUN
amfbr-346	356	13	for	for	ADP
amfbr-346	356	14	discrete	discrete	ADJ
amfbr-346	356	15	type	type	NOUN
amfbr-346	356	16	distribution	distribution	NOUN
amfbr-346	356	17	and	and	CCONJ
amfbr-346	356	18	some	some	DET
amfbr-346	356	19	new	new	ADJ
amfbr-346	356	20	correlation	correlation	NOUN
amfbr-346	356	21	coefficients	coefficient	NOUN
amfbr-346	356	22	etc	etc	X
amfbr-346	356	23	.	.	PUNCT
amfbr-346	357	1	the	the	DET
amfbr-346	357	2	inst	inst	NOUN
amfbr-346	357	3	.	.	PUNCT
amfbr-346	357	4	of	of	ADP
amfbr-346	357	5	stat	stat	PROPN
amfbr-346	357	6	.	.	PUNCT
amfbr-346	358	1	math	math	NOUN
amfbr-346	358	2	.	.	PUNCT
amfbr-346	359	1	,	,	PUNCT
amfbr-346	359	2	77	77	NUM
amfbr-346	359	3	-	-	SYM
amfbr-346	359	4	115	115	NUM
amfbr-346	359	5	.	.	PUNCT
amfbr-346	360	1	taguchi	taguchi	PROPN
amfbr-346	360	2	t.	t.	PROPN
amfbr-346	360	3	(	(	PUNCT
amfbr-346	360	4	1973	1973	NUM
amfbr-346	360	5	)	)	PUNCT
amfbr-346	360	6	on	on	ADP
amfbr-346	360	7	the	the	DET
amfbr-346	360	8	two	two	NUM
amfbr-346	360	9	-	-	PUNCT
amfbr-346	360	10	dimensional	dimensional	ADJ
amfbr-346	360	11	concentration	concentration	NOUN
amfbr-346	360	12	surface	surface	NOUN
amfbr-346	360	13	and	and	CCONJ
amfbr-346	360	14	extensions	extension	NOUN
amfbr-346	360	15	of	of	ADP
amfbr-346	360	16	concentration	concentration	NOUN
amfbr-346	360	17	coefficient	coefficient	NOUN
amfbr-346	360	18	and	and	CCONJ
amfbr-346	360	19	pareto	pareto	ADJ
amfbr-346	360	20	distribution	distribution	NOUN
amfbr-346	360	21	to	to	ADP
amfbr-346	360	22	the	the	DET
amfbr-346	360	23	two	two	NUM
amfbr-346	360	24	dimensional	dimensional	ADJ
amfbr-346	360	25	case	case	NOUN
amfbr-346	360	26	-	-	PUNCT
amfbr-346	360	27	iii	iii	NOUN
amfbr-346	360	28	.	.	NOUN
amfbr-346	360	29	annals	annal	NOUN
amfbr-346	360	30	of	of	ADP
amfbr-346	360	31	the	the	DET
amfbr-346	360	32	inst	inst	NOUN
amfbr-346	360	33	.	.	PUNCT
amfbr-346	361	1	of	of	ADP
amfbr-346	361	2	stat	stat	PROPN
amfbr-346	361	3	.	.	PUNCT
amfbr-346	362	1	math	math	NOUN
amfbr-346	362	2	.	.	PUNCT
amfbr-346	363	1	,	,	PUNCT
amfbr-346	363	2	vol	vol	NOUN
amfbr-346	363	3	.	.	PROPN
amfbr-346	363	4	25	25	NUM
amfbr-346	363	5	,	,	PUNCT
amfbr-346	363	6	no.1	no.1	NUM
amfbr-346	363	7	,	,	PUNCT
amfbr-346	363	8	215	215	NUM
amfbr-346	363	9	-	-	SYM
amfbr-346	363	10	237	237	NUM
amfbr-346	363	11	.	.	PUNCT
amfbr-346	364	1	taguchi	taguchi	PROPN
amfbr-346	364	2	t.	t.	PROPN
amfbr-346	364	3	(	(	PUNCT
amfbr-346	364	4	1974	1974	NUM
amfbr-346	364	5	)	)	PUNCT
amfbr-346	364	6	on	on	ADP
amfbr-346	364	7	fechner	fechner	NOUN
amfbr-346	364	8	's	's	PART
amfbr-346	364	9	thesis	thesis	NOUN
amfbr-346	364	10	and	and	CCONJ
amfbr-346	364	11	statistics	statistic	NOUN
amfbr-346	364	12	with	with	ADP
amfbr-346	364	13	norm	norm	NOUN
amfbr-346	364	14	p.	p.	PROPN
amfbr-346	364	15	ann	ann	PROPN
amfbr-346	364	16	.	.	PROPN
amfbr-346	365	1	of	of	ADP
amfbr-346	365	2	the	the	DET
amfbr-346	365	3	inst	inst	NOUN
amfbr-346	365	4	.	.	PUNCT
amfbr-346	366	1	of	of	ADP
amfbr-346	366	2	stat	stat	PROPN
amfbr-346	366	3	.	.	PUNCT
amfbr-346	367	1	math	math	NOUN
amfbr-346	367	2	.	.	PUNCT
amfbr-346	368	1	,	,	PUNCT
amfbr-346	368	2	vol	vol	NOUN
amfbr-346	368	3	.	.	PROPN
amfbr-346	368	4	26	26	NUM
amfbr-346	368	5	,	,	PUNCT
amfbr-346	368	6	no.2	no.2	PROPN
amfbr-346	368	7	,	,	PUNCT
amfbr-346	368	8	175	175	NUM
amfbr-346	368	9	-	-	SYM
amfbr-346	368	10	193	193	NUM
amfbr-346	368	11	.	.	PUNCT
amfbr-346	369	1	taguchi	taguchi	PROPN
amfbr-346	369	2	t.	t.	PROPN
amfbr-346	369	3	(	(	PUNCT
amfbr-346	369	4	1978	1978	NUM
amfbr-346	369	5	)	)	PUNCT
amfbr-346	369	6	on	on	ADP
amfbr-346	369	7	a	a	DET
amfbr-346	369	8	generalization	generalization	NOUN
amfbr-346	369	9	of	of	ADP
amfbr-346	369	10	gaussian	gaussian	ADJ
amfbr-346	369	11	distribution	distribution	NOUN
amfbr-346	369	12	.	.	PUNCT
amfbr-346	370	1	ann	ann	PROPN
amfbr-346	370	2	.	.	PROPN
amfbr-346	370	3	of	of	ADP
amfbr-346	370	4	the	the	DET
amfbr-346	370	5	inst	inst	NOUN
amfbr-346	370	6	.	.	PUNCT
amfbr-346	370	7	of	of	ADP
amfbr-346	370	8	stat	stat	PROPN
amfbr-346	370	9	.	.	PUNCT
amfbr-346	371	1	math	math	NOUN
amfbr-346	371	2	.	.	PUNCT
amfbr-346	372	1	,	,	PUNCT
amfbr-346	372	2	vol	vol	NOUN
amfbr-346	372	3	.	.	PROPN
amfbr-346	372	4	30	30	NUM
amfbr-346	372	5	,	,	PUNCT
amfbr-346	372	6	no.2	no.2	PROPN
amfbr-346	372	7	,	,	PUNCT
amfbr-346	372	8	a	a	PRON
amfbr-346	372	9	,	,	PUNCT
amfbr-346	372	10	211	211	NUM
amfbr-346	372	11	-	-	SYM
amfbr-346	372	12	242	242	NUM
amfbr-346	372	13	.	.	PUNCT
amfbr-346	373	1	taguchi	taguchi	PROPN
amfbr-346	373	2	t.	t.	PROPN
amfbr-346	373	3	(	(	PUNCT
amfbr-346	373	4	1981	1981	NUM
amfbr-346	373	5	)	)	PUNCT
amfbr-346	373	6	on	on	ADP
amfbr-346	373	7	a	a	DET
amfbr-346	373	8	multiple	multiple	ADJ
amfbr-346	373	9	gini	gini	NOUN
amfbr-346	373	10	's	's	PART
amfbr-346	373	11	coefficient	coefficient	NOUN
amfbr-346	373	12	and	and	CCONJ
amfbr-346	373	13	some	some	DET
amfbr-346	373	14	concentrative	concentrative	ADJ
amfbr-346	373	15	regressions	regression	NOUN
amfbr-346	373	16	.	.	PUNCT
amfbr-346	374	1	metron	metron	PROPN
amfbr-346	374	2	,	,	PUNCT
amfbr-346	374	3	vol	vol	NOUN
amfbr-346	374	4	.	.	PUNCT
amfbr-346	375	1	xxxix	xxxix	PROPN
amfbr-346	375	2	n.1	n.1	PROPN
amfbr-346	375	3	-	-	SYM
amfbr-346	375	4	2	2	NUM
amfbr-346	375	5	,	,	PUNCT
amfbr-346	375	6	5	5	NUM
amfbr-346	375	7	-	-	SYM
amfbr-346	375	8	98	98	NUM
amfbr-346	375	9	.	.	PUNCT
amfbr-346	376	1	taguchi	taguchi	PROPN
amfbr-346	376	2	t.	t.	PROPN
amfbr-346	376	3	(	(	PUNCT
amfbr-346	376	4	1983	1983	NUM
amfbr-346	376	5	)	)	PUNCT
amfbr-346	376	6	concentration	concentration	NOUN
amfbr-346	376	7	analysis	analysis	NOUN
amfbr-346	376	8	of	of	ADP
amfbr-346	376	9	bivariate	bivariate	ADJ
amfbr-346	376	10	paretoan	paretoan	NOUN
amfbr-346	376	11	distribution	distribution	NOUN
amfbr-346	376	12	.	.	PUNCT
amfbr-346	377	1	proc	proc	NOUN
amfbr-346	377	2	.	.	PUNCT
amfbr-346	378	1	of	of	ADP
amfbr-346	378	2	the	the	DET
amfbr-346	378	3	inst	inst	NOUN
amfbr-346	378	4	.	.	PUNCT
amfbr-346	379	1	of	of	ADP
amfbr-346	379	2	stat	stat	PROPN
amfbr-346	379	3	.	.	PUNCT
amfbr-346	380	1	math	math	NOUN
amfbr-346	380	2	.	.	PUNCT
amfbr-346	381	1	,	,	PUNCT
amfbr-346	381	2	vol	vol	NOUN
amfbr-346	381	3	.	.	PROPN
amfbr-346	381	4	31	31	NUM
amfbr-346	381	5	,	,	PUNCT
amfbr-346	381	6	no.1	no.1	NUM
amfbr-346	381	7	,	,	PUNCT
amfbr-346	381	8	132	132	NUM
amfbr-346	381	9	.	.	PUNCT
amfbr-346	382	1	taguchi	taguchi	PROPN
amfbr-346	382	2	t.	t.	PROPN
amfbr-346	382	3	(	(	PUNCT
amfbr-346	382	4	1987	1987	NUM
amfbr-346	382	5	)	)	PUNCT
amfbr-346	382	6	on	on	ADP
amfbr-346	382	7	the	the	DET
amfbr-346	382	8	structure	structure	NOUN
amfbr-346	382	9	of	of	ADP
amfbr-346	382	10	multivariate	multivariate	NOUN
amfbr-346	382	11	concentration	concentration	NOUN
amfbr-346	382	12	.	.	PUNCT
amfbr-346	383	1	submitted	submit	VERB
amfbr-346	383	2	to	to	ADP
amfbr-346	383	3	the	the	DET
amfbr-346	383	4	first	first	ADJ
amfbr-346	383	5	international	international	ADJ
amfbr-346	383	6	conference	conference	NOUN
amfbr-346	383	7	on	on	ADP
amfbr-346	383	8	statistical	statistical	ADJ
amfbr-346	383	9	data	datum	NOUN
amfbr-346	383	10	analysis	analysis	NOUN
amfbr-346	383	11	based	base	VERB
amfbr-346	383	12	on	on	ADP
amfbr-346	383	13	the	the	DET
amfbr-346	383	14	l1	l1	PROPN
amfbr-346	383	15	norm	norm	NOUN
amfbr-346	383	16	and	and	CCONJ
amfbr-346	383	17	related	related	ADJ
amfbr-346	383	18	methods	method	NOUN
amfbr-346	383	19	,	,	PUNCT
amfbr-346	383	20	neuchatel	neuchatel	NOUN
amfbr-346	383	21	,	,	PUNCT
amfbr-346	383	22	switzerland	switzerland	PROPN
amfbr-346	383	23	.	.	PUNCT
amfbr-346	384	1	taguchi	taguchi	PROPN
amfbr-346	384	2	t.	t.	PROPN
amfbr-346	384	3	(	(	PUNCT
amfbr-346	384	4	1988	1988	NUM
amfbr-346	384	5	)	)	PUNCT
amfbr-346	384	6	on	on	ADP
amfbr-346	384	7	the	the	DET
amfbr-346	384	8	structure	structure	NOUN
amfbr-346	384	9	of	of	ADP
amfbr-346	384	10	multivariate	multivariate	NOUN
amfbr-346	384	11	concentration	concentration	NOUN
amfbr-346	384	12	–	–	PUNCT
amfbr-346	384	13	some	some	DET
amfbr-346	384	14	relationships	relationship	NOUN
amfbr-346	384	15	among	among	ADP
amfbr-346	384	16	the	the	DET
amfbr-346	384	17	concentration	concentration	NOUN
amfbr-346	384	18	surface	surface	NOUN
amfbr-346	384	19	and	and	CCONJ
amfbr-346	384	20	two	two	NUM
amfbr-346	384	21	variates	variate	NOUN
amfbr-346	384	22	mean	mean	ADJ
amfbr-346	384	23	difference	difference	NOUN
amfbr-346	384	24	and	and	CCONJ
amfbr-346	384	25	regressions	regression	NOUN
amfbr-346	384	26	.	.	PUNCT
amfbr-346	385	1	csda	csda	NOUN
amfbr-346	385	2	,	,	PUNCT
amfbr-346	385	3	6,307	6,307	NUM
amfbr-346	385	4	-	-	SYM
amfbr-346	385	5	334	334	NUM
amfbr-346	385	6	.	.	PUNCT
amfbr-346	386	1	usow	usow	PROPN
amfbr-346	386	2	k.h	k.h	PROPN
amfbr-346	386	3	.	.	PUNCT
amfbr-346	386	4	(	(	PUNCT
amfbr-346	386	5	1967a	1967a	NUM
amfbr-346	386	6	)	)	PUNCT
amfbr-346	386	7	on	on	ADP
amfbr-346	386	8	l1	l1	PROPN
amfbr-346	386	9	approximation	approximation	NOUN
amfbr-346	386	10	:	:	PUNCT
amfbr-346	386	11	computation	computation	NOUN
amfbr-346	386	12	for	for	ADP
amfbr-346	386	13	continuous	continuous	ADJ
amfbr-346	386	14	functions	function	NOUN
amfbr-346	386	15	and	and	CCONJ
amfbr-346	386	16	continuous	continuous	ADJ
amfbr-346	386	17	dependence	dependence	NOUN
amfbr-346	386	18	.	.	PUNCT
amfbr-346	387	1	siam	siam	PROPN
amfbr-346	387	2	j.	j.	PROPN
amfbr-346	387	3	of	of	ADP
amfbr-346	387	4	numer	numer	PROPN
amfbr-346	387	5	.	.	PUNCT
amfbr-346	388	1	anal	anal	PROPN
amfbr-346	388	2	.	.	PROPN
amfbr-346	388	3	,	,	PUNCT
amfbr-346	388	4	4	4	NUM
amfbr-346	388	5	,	,	PUNCT
amfbr-346	388	6	70	70	NUM
amfbr-346	388	7	-	-	SYM
amfbr-346	388	8	88	88	NUM
amfbr-346	388	9	.	.	PUNCT
amfbr-346	389	1	watson	watson	PROPN
amfbr-346	389	2	g.a	g.a	PROPN
amfbr-346	389	3	.	.	PROPN
amfbr-346	389	4	(	(	PUNCT
amfbr-346	389	5	1981	1981	NUM
amfbr-346	389	6	)	)	PUNCT
amfbr-346	389	7	an	an	DET
amfbr-346	389	8	algorithm	algorithm	NOUN
amfbr-346	389	9	for	for	ADP
amfbr-346	389	10	linear	linear	PROPN
amfbr-346	389	11	l1	l1	PROPN
amfbr-346	389	12	approximation	approximation	NOUN
amfbr-346	389	13	of	of	ADP
amfbr-346	389	14	continuous	continuous	ADJ
amfbr-346	389	15	functions	function	NOUN
amfbr-346	389	16	.	.	PUNCT
amfbr-346	390	1	i	i	PRON
amfbr-346	390	2	m	m	VERB
amfbr-346	391	1	a	a	PROPN
amfbr-346	391	2	j.	j.	PROPN
amfbr-346	391	3	num	num	PROPN
amfbr-346	391	4	.	.	PROPN
amfbr-346	391	5	anal	anal	PROPN
amfbr-346	391	6	.	.	PROPN
amfbr-346	391	7	,	,	PUNCT
amfbr-346	391	8	1	1	NUM
amfbr-346	391	9	,	,	PUNCT
amfbr-346	391	10	157	157	NUM
amfbr-346	391	11	-	-	SYM
amfbr-346	391	12	167	167	NUM
amfbr-346	391	13	.	.	PUNCT
amfbr-346	392	1	copyrights	copyright	NOUN
amfbr-346	392	2	copyright	copyright	NOUN
amfbr-346	392	3	for	for	ADP
amfbr-346	392	4	this	this	DET
amfbr-346	392	5	article	article	NOUN
amfbr-346	392	6	is	be	AUX
amfbr-346	392	7	retained	retain	VERB
amfbr-346	392	8	by	by	ADP
amfbr-346	392	9	the	the	DET
amfbr-346	392	10	author(s	author(s	PROPN
amfbr-346	392	11	)	)	PUNCT
amfbr-346	392	12	,	,	PUNCT
amfbr-346	392	13	with	with	ADP
amfbr-346	392	14	first	first	ADJ
amfbr-346	392	15	publication	publication	NOUN
amfbr-346	392	16	rights	right	NOUN
amfbr-346	392	17	granted	grant	VERB
amfbr-346	392	18	to	to	ADP
amfbr-346	392	19	the	the	DET
amfbr-346	392	20	journal	journal	NOUN
amfbr-346	392	21	.	.	PUNCT
amfbr-346	393	1	this	this	PRON
amfbr-346	393	2	is	be	AUX
amfbr-346	393	3	an	an	DET
amfbr-346	393	4	open	open	ADJ
amfbr-346	393	5	-	-	PUNCT
amfbr-346	393	6	access	access	NOUN
amfbr-346	393	7	article	article	NOUN
amfbr-346	393	8	distributed	distribute	VERB
amfbr-346	393	9	under	under	ADP
amfbr-346	393	10	the	the	DET
amfbr-346	393	11	terms	term	NOUN
amfbr-346	393	12	and	and	CCONJ
amfbr-346	393	13	conditions	condition	NOUN
amfbr-346	393	14	of	of	ADP
amfbr-346	393	15	the	the	DET
amfbr-346	393	16	creative	creative	ADJ
amfbr-346	393	17	commons	common	NOUN
amfbr-346	393	18	attribution	attribution	NOUN
amfbr-346	393	19	license	license	NOUN
amfbr-346	393	20	(	(	PUNCT
amfbr-346	393	21	http://creativecommons.org/licenses/by/4.0/	http://creativecommons.org/licenses/by/4.0/	PROPN
amfbr-346	393	22	)	)	PUNCT
amfbr-346	393	23	.	.	PUNCT