id	sid	tid	token	lemma	pos
amfbr-286	1	1	copyright	copyright	NOUN
amfbr-286	1	2	©	©	PROPN
amfbr-286	1	3	cc	cc	PROPN
amfbr-286	1	4	-	-	PUNCT
amfbr-286	1	5	by	by	ADP
amfbr-286	1	6	-	-	PUNCT
amfbr-286	1	7	nc	nc	PROPN
amfbr-286	1	8	2019	2019	NUM
amfbr-286	1	9	,	,	PUNCT
amfbr-286	1	10	cribfb	cribfb	PROPN
amfbr-286	1	11	|	|	ADV
amfbr-286	1	12	amfbr	amfbr	PROPN
amfbr-286	1	13	american	american	PROPN
amfbr-286	1	14	finance	finance	PROPN
amfbr-286	1	15	&	&	CCONJ
amfbr-286	1	16	banking	banking	PROPN
amfbr-286	1	17	review	review	PROPN
amfbr-286	1	18	;	;	PUNCT
amfbr-286	1	19	vol	vol	NOUN
amfbr-286	1	20	.	.	NOUN
amfbr-286	1	21	4	4	NUM
amfbr-286	1	22	,	,	PUNCT
amfbr-286	1	23	no	no	INTJ
amfbr-286	1	24	.	.	NOUN
amfbr-286	1	25	1	1	NUM
amfbr-286	1	26	;	;	PUNCT
amfbr-286	1	27	2019	2019	NUM
amfbr-286	1	28	issn	issn	VERB
amfbr-286	1	29	2576	2576	NUM
amfbr-286	1	30	-	-	SYM
amfbr-286	1	31	1226	1226	NUM
amfbr-286	1	32	e	e	NOUN
amfbr-286	1	33	-	-	NOUN
amfbr-286	1	34	issn	issn	PROPN
amfbr-286	1	35	2576	2576	NUM
amfbr-286	1	36	-	-	SYM
amfbr-286	1	37	1234	1234	NUM
amfbr-286	1	38	published	publish	VERB
amfbr-286	1	39	by	by	ADP
amfbr-286	1	40	centre	centre	NOUN
amfbr-286	1	41	for	for	ADP
amfbr-286	1	42	research	research	NOUN
amfbr-286	1	43	on	on	ADP
amfbr-286	1	44	islamic	islamic	ADJ
amfbr-286	1	45	banking	banking	PROPN
amfbr-286	1	46	&	&	CCONJ
amfbr-286	1	47	finance	finance	PROPN
amfbr-286	1	48	and	and	CCONJ
amfbr-286	1	49	business	business	NOUN
amfbr-286	1	50	,	,	PUNCT
amfbr-286	1	51	usa	usa	PROPN
amfbr-286	1	52	17	17	NUM
amfbr-286	1	53	functional	functional	ADJ
amfbr-286	1	54	form	form	NOUN
amfbr-286	1	55	for	for	ADP
amfbr-286	1	56	estimating	estimate	VERB
amfbr-286	1	57	the	the	DET
amfbr-286	1	58	lorenz	lorenz	PROPN
amfbr-286	1	59	curve	curve	PROPN
amfbr-286	1	60	bijan	bijan	PROPN
amfbr-286	1	61	bidabad	bidabad	PROPN
amfbr-286	1	62	b.a	b.a	PROPN
amfbr-286	1	63	.	.	PROPN
amfbr-286	1	64	,	,	PUNCT
amfbr-286	1	65	m.sc	m.sc	PROPN
amfbr-286	1	66	.	.	PROPN
amfbr-286	1	67	,	,	PUNCT
amfbr-286	1	68	ph.d	ph.d	PROPN
amfbr-286	1	69	.	.	PROPN
amfbr-286	1	70	,	,	PUNCT
amfbr-286	1	71	post	post	PROPN
amfbr-286	1	72	-	-	ADJ
amfbr-286	1	73	doc	doc	ADJ
amfbr-286	1	74	.	.	PROPN
amfbr-286	1	75	professor	professor	NOUN
amfbr-286	1	76	economics	economic	NOUN
amfbr-286	1	77	and	and	CCONJ
amfbr-286	1	78	chief	chief	ADJ
amfbr-286	1	79	islamic	islamic	PROPN
amfbr-286	1	80	banking	banking	PROPN
amfbr-286	1	81	advisor	advisor	PROPN
amfbr-286	1	82	bank	bank	PROPN
amfbr-286	1	83	melli	melli	PROPN
amfbr-286	1	84	,	,	PUNCT
amfbr-286	1	85	iran	iran	PROPN
amfbr-286	1	86	e-mail:bijan@bidabad.com	e-mail:bijan@bidabad.com	X
amfbr-286	1	87	behrouz	behrouz	VERB
amfbr-286	1	88	bidabad	bidabad	ADJ
amfbr-286	1	89	faculty	faculty	NOUN
amfbr-286	1	90	of	of	ADP
amfbr-286	1	91	mathematics	mathematics	PROPN
amfbr-286	1	92	polytechnics	polytechnics	PROPN
amfbr-286	1	93	university	university	PROPN
amfbr-286	1	94	,	,	PUNCT
amfbr-286	1	95	hafez	hafez	PROPN
amfbr-286	1	96	ave	ave	PROPN
amfbr-286	1	97	tehran	tehran	PROPN
amfbr-286	1	98	,	,	PUNCT
amfbr-286	1	99	15914	15914	NUM
amfbr-286	1	100	,	,	PUNCT
amfbr-286	1	101	iran	iran	PROPN
amfbr-286	1	102	e-mail:bidabad@aut.ac.ir	e-mail:bidabad@aut.ac.ir	VERB
amfbr-286	1	103	abstract	abstract	ADV
amfbr-286	1	104	a	a	DET
amfbr-286	1	105	flexible	flexible	ADJ
amfbr-286	1	106	lorenz	lorenz	PROPN
amfbr-286	1	107	curve	curve	NOUN
amfbr-286	1	108	which	which	PRON
amfbr-286	1	109	offers	offer	VERB
amfbr-286	1	110	different	different	ADJ
amfbr-286	1	111	curvatures	curvature	NOUN
amfbr-286	1	112	allowed	allow	VERB
amfbr-286	1	113	by	by	ADP
amfbr-286	1	114	the	the	DET
amfbr-286	1	115	theory	theory	NOUN
amfbr-286	1	116	of	of	ADP
amfbr-286	1	117	income	income	NOUN
amfbr-286	1	118	distribution	distribution	NOUN
amfbr-286	1	119	is	be	AUX
amfbr-286	1	120	introduced	introduce	VERB
amfbr-286	1	121	.	.	PUNCT
amfbr-286	2	1	the	the	DET
amfbr-286	2	2	intrinsically	intrinsically	ADV
amfbr-286	2	3	autoregressive	autoregressive	ADJ
amfbr-286	2	4	nature	nature	NOUN
amfbr-286	2	5	of	of	ADP
amfbr-286	2	6	the	the	DET
amfbr-286	2	7	errors	error	NOUN
amfbr-286	2	8	in	in	ADP
amfbr-286	2	9	cumulative	cumulative	ADJ
amfbr-286	2	10	data	datum	NOUN
amfbr-286	2	11	of	of	ADP
amfbr-286	2	12	the	the	DET
amfbr-286	2	13	lorenz	lorenz	PROPN
amfbr-286	2	14	curve	curve	NOUN
amfbr-286	2	15	is	be	AUX
amfbr-286	2	16	also	also	ADV
amfbr-286	2	17	under	under	ADP
amfbr-286	2	18	consideration	consideration	NOUN
amfbr-286	2	19	.	.	PUNCT
amfbr-286	3	1	keywords	keyword	NOUN
amfbr-286	3	2	:	:	PUNCT
amfbr-286	3	3	lorenz	lorenz	PROPN
amfbr-286	3	4	curve	curve	PROPN
amfbr-286	3	5	,	,	PUNCT
amfbr-286	3	6	functional	functional	ADJ
amfbr-286	3	7	form	form	NOUN
amfbr-286	3	8	,	,	PUNCT
amfbr-286	3	9	estimation	estimation	NOUN
amfbr-286	3	10	,	,	PUNCT
amfbr-286	3	11	income	income	NOUN
amfbr-286	3	12	inequality	inequality	NOUN
amfbr-286	3	13	,	,	PUNCT
amfbr-286	3	14	distribution	distribution	NOUN
amfbr-286	3	15	1	1	NUM
amfbr-286	3	16	.	.	PUNCT
amfbr-286	4	1	introduction	introduction	NOUN
amfbr-286	4	2	income	income	NOUN
amfbr-286	4	3	distribution	distribution	NOUN
amfbr-286	4	4	is	be	AUX
amfbr-286	4	5	often	often	ADV
amfbr-286	4	6	portrayed	portray	VERB
amfbr-286	4	7	on	on	ADP
amfbr-286	4	8	a	a	DET
amfbr-286	4	9	lorenz	lorenz	PROPN
amfbr-286	4	10	curve	curve	NOUN
amfbr-286	4	11	.	.	PUNCT
amfbr-286	5	1	in	in	ADP
amfbr-286	5	2	recent	recent	ADJ
amfbr-286	5	3	years	year	NOUN
amfbr-286	5	4	some	some	PRON
amfbr-286	5	5	of	of	ADP
amfbr-286	5	6	its	its	PRON
amfbr-286	5	7	functional	functional	ADJ
amfbr-286	5	8	forms	form	NOUN
amfbr-286	5	9	have	have	AUX
amfbr-286	5	10	been	be	AUX
amfbr-286	5	11	introduced	introduce	VERB
amfbr-286	5	12	.	.	PUNCT
amfbr-286	6	1	these	these	DET
amfbr-286	6	2	forms	form	NOUN
amfbr-286	6	3	should	should	AUX
amfbr-286	6	4	satisfy	satisfy	VERB
amfbr-286	6	5	some	some	DET
amfbr-286	6	6	definitional	definitional	ADJ
amfbr-286	6	7	properties	property	NOUN
amfbr-286	6	8	,	,	PUNCT
amfbr-286	6	9	and	and	CCONJ
amfbr-286	6	10	also	also	ADV
amfbr-286	6	11	make	make	VERB
amfbr-286	6	12	estimation	estimation	NOUN
amfbr-286	6	13	of	of	ADP
amfbr-286	6	14	the	the	DET
amfbr-286	6	15	function	function	NOUN
amfbr-286	6	16	parameters	parameter	NOUN
amfbr-286	6	17	by	by	ADP
amfbr-286	6	18	the	the	DET
amfbr-286	6	19	known	know	VERB
amfbr-286	6	20	estimating	estimate	VERB
amfbr-286	6	21	methods	method	NOUN
amfbr-286	6	22	simple	simple	ADJ
amfbr-286	6	23	.	.	PUNCT
amfbr-286	7	1	this	this	DET
amfbr-286	7	2	note	note	NOUN
amfbr-286	7	3	emphasizes	emphasize	VERB
amfbr-286	7	4	on	on	ADP
amfbr-286	7	5	two	two	NUM
amfbr-286	7	6	other	other	ADJ
amfbr-286	7	7	characteristics	characteristic	NOUN
amfbr-286	7	8	of	of	ADP
amfbr-286	7	9	the	the	DET
amfbr-286	7	10	lorenz	lorenz	PROPN
amfbr-286	7	11	curve	curve	NOUN
amfbr-286	7	12	which	which	PRON
amfbr-286	7	13	have	have	AUX
amfbr-286	7	14	been	be	AUX
amfbr-286	7	15	neglected	neglect	VERB
amfbr-286	7	16	.	.	PUNCT
amfbr-286	8	1	first	first	ADV
amfbr-286	8	2	,	,	PUNCT
amfbr-286	8	3	the	the	DET
amfbr-286	8	4	lorenz	lorenz	PROPN
amfbr-286	8	5	curve	curve	NOUN
amfbr-286	8	6	could	could	AUX
amfbr-286	8	7	be	be	AUX
amfbr-286	8	8	non	non	ADJ
amfbr-286	8	9	-	-	ADJ
amfbr-286	8	10	symmetric	symmetric	ADJ
amfbr-286	8	11	with	with	ADP
amfbr-286	8	12	respect	respect	NOUN
amfbr-286	8	13	to	to	ADP
amfbr-286	8	14	the	the	DET
amfbr-286	8	15	line	line	NOUN
amfbr-286	8	16	y=1	y=1	NOUN
amfbr-286	8	17	-	-	PUNCT
amfbr-286	8	18	x	x	NOUN
amfbr-286	8	19	,	,	PUNCT
amfbr-286	8	20	for	for	ADP
amfbr-286	8	21	0≤x≤1	0≤x≤1	NOUN
amfbr-286	8	22	.	.	PUNCT
amfbr-286	9	1	this	this	PRON
amfbr-286	9	2	enables	enable	VERB
amfbr-286	9	3	that	that	SCONJ
amfbr-286	9	4	different	different	ADJ
amfbr-286	9	5	lorenz	lorenz	PROPN
amfbr-286	9	6	curves	curve	NOUN
amfbr-286	9	7	cross	cross	VERB
amfbr-286	9	8	the	the	DET
amfbr-286	9	9	others	other	NOUN
amfbr-286	9	10	which	which	PRON
amfbr-286	9	11	are	be	AUX
amfbr-286	9	12	the	the	DET
amfbr-286	9	13	same	same	ADJ
amfbr-286	9	14	in	in	ADP
amfbr-286	9	15	functional	functional	ADJ
amfbr-286	9	16	form	form	NOUN
amfbr-286	9	17	and	and	CCONJ
amfbr-286	9	18	different	different	ADJ
amfbr-286	9	19	in	in	ADP
amfbr-286	9	20	parameters	parameter	NOUN
amfbr-286	9	21	for	for	ADP
amfbr-286	9	22	0	0	NUM
amfbr-286	9	23	<	<	NOUN
amfbr-286	9	24	x<1	x<1	PROPN
amfbr-286	9	25	(	(	PUNCT
amfbr-286	9	26	see	see	VERB
amfbr-286	9	27	e.	e.	PROPN
amfbr-286	9	28	e.	e.	PROPN
amfbr-286	9	29	hagen(2	hagen(2	PROPN
amfbr-286	9	30	)	)	PUNCT
amfbr-286	9	31	)	)	PUNCT
amfbr-286	9	32	.	.	PUNCT
amfbr-286	10	1	figure	figure	NOUN
amfbr-286	10	2	1	1	NUM
amfbr-286	10	3	shows	show	VERB
amfbr-286	10	4	this	this	DET
amfbr-286	10	5	phenomenon	phenomenon	NOUN
amfbr-286	10	6	by	by	ADP
amfbr-286	10	7	two	two	NUM
amfbr-286	10	8	different	different	ADJ
amfbr-286	10	9	lorenz	lorenz	PROPN
amfbr-286	10	10	curves	curve	NOUN
amfbr-286	10	11	of	of	ADP
amfbr-286	10	12	a	a	PRON
amfbr-286	10	13	and	and	CCONJ
amfbr-286	10	14	b.	b.	PROPN
amfbr-286	10	15	y=1	y=1	PROPN
amfbr-286	10	16	-	-	PUNCT
amfbr-286	10	17	x	x	SYM
amfbr-286	10	18	y	y	NOUN
amfbr-286	10	19	=	=	NOUN
amfbr-286	10	20	x	x	SYM
amfbr-286	10	21	x	x	SYM
amfbr-286	10	22	100	100	NUM
amfbr-286	10	23	%	%	NOUN
amfbr-286	10	24	100	100	NUM
amfbr-286	10	25	%	%	NOUN
amfbr-286	10	26	y	y	PROPN
amfbr-286	10	27	b	b	PROPN
amfbr-286	10	28	a	a	DET
amfbr-286	10	29	figure	figure	NOUN
amfbr-286	10	30	1	1	NUM
amfbr-286	10	31	.	.	PUNCT
amfbr-286	11	1	mailto:bijan@bidabad.com	mailto:bijan@bidabad.com	PROPN
amfbr-286	11	2	mailto:bidabad@aut.ac.ir	mailto:bidabad@aut.ac.ir	VERB
amfbr-286	11	3	copyright	copyright	NOUN
amfbr-286	11	4	©	©	PROPN
amfbr-286	11	5	cc	cc	PROPN
amfbr-286	11	6	-	-	PUNCT
amfbr-286	11	7	by	by	ADP
amfbr-286	11	8	-	-	PUNCT
amfbr-286	11	9	nc	nc	PROPN
amfbr-286	11	10	2019	2019	NUM
amfbr-286	11	11	,	,	PUNCT
amfbr-286	11	12	cribfb	cribfb	PROPN
amfbr-286	11	13	|	|	ADV
amfbr-286	11	14	amfbr	amfbr	ADJ
amfbr-286	11	15	www.cribfb.com/journal/index.php/amfbr	www.cribfb.com/journal/index.php/amfbr	PROPN
amfbr-286	11	16	american	american	PROPN
amfbr-286	11	17	finance	finance	PROPN
amfbr-286	11	18	&	&	CCONJ
amfbr-286	11	19	banking	banking	PROPN
amfbr-286	11	20	review	review	PROPN
amfbr-286	11	21	vol	vol	NOUN
amfbr-286	11	22	.	.	PROPN
amfbr-286	12	1	4	4	NUM
amfbr-286	12	2	,	,	PUNCT
amfbr-286	12	3	no	no	INTJ
amfbr-286	12	4	.	.	NOUN
amfbr-286	12	5	1	1	NUM
amfbr-286	12	6	;	;	PUNCT
amfbr-286	12	7	2019	2019	NUM
amfbr-286	12	8	18	18	NUM
amfbr-286	12	9	m.	m.	NOUN
amfbr-286	12	10	r.	r.	PROPN
amfbr-286	12	11	gupta	gupta	PROPN
amfbr-286	12	12	(	(	PUNCT
amfbr-286	12	13	1	1	X
amfbr-286	12	14	)	)	PUNCT
amfbr-286	12	15	proposed	propose	VERB
amfbr-286	12	16	the	the	DET
amfbr-286	12	17	following	following	ADJ
amfbr-286	12	18	definitional	definitional	ADJ
amfbr-286	12	19	properties	property	NOUN
amfbr-286	12	20	.	.	PUNCT
amfbr-286	13	1	the	the	DET
amfbr-286	13	2	function	function	NOUN
amfbr-286	13	3	y	y	PROPN
amfbr-286	13	4	=	=	NOUN
amfbr-286	13	5	f(x	f(x	PROPN
amfbr-286	13	6	)	)	PUNCT
amfbr-286	13	7	represents	represent	VERB
amfbr-286	13	8	the	the	DET
amfbr-286	13	9	lorenz	lorenz	PROPN
amfbr-286	13	10	curve	curve	NOUN
amfbr-286	13	11	,	,	PUNCT
amfbr-286	13	12	if	if	SCONJ
amfbr-286	13	13	:	:	PUNCT
amfbr-286	13	14	(	(	PUNCT
amfbr-286	13	15	i	i	NOUN
amfbr-286	13	16	)	)	PUNCT
amfbr-286	13	17	f(0	f(0	NOUN
amfbr-286	13	18	)	)	PUNCT
amfbr-286	13	19	=	=	SYM
amfbr-286	13	20	0	0	NUM
amfbr-286	13	21	(	(	PUNCT
amfbr-286	13	22	ii	ii	NOUN
amfbr-286	13	23	)	)	PUNCT
amfbr-286	13	24	f(1	f(1	PROPN
amfbr-286	13	25	)	)	PUNCT
amfbr-286	14	1	=	=	SYM
amfbr-286	14	2	1	1	NUM
amfbr-286	14	3	(	(	PUNCT
amfbr-286	14	4	iii	iii	NOUN
amfbr-286	14	5	)	)	PUNCT
amfbr-286	14	6	f’(x	f’(x	PROPN
amfbr-286	14	7	)	)	PUNCT
amfbr-286	14	8	≥	≥	NOUN
amfbr-286	14	9	0	0	NUM
amfbr-286	14	10	for	for	ADP
amfbr-286	14	11	0≤x≤1	0≤x≤1	NOUN
amfbr-286	14	12	(	(	PUNCT
amfbr-286	14	13	iv	iv	X
amfbr-286	14	14	)	)	PUNCT
amfbr-286	14	15	f”(x	f”(x	PROPN
amfbr-286	14	16	)	)	PUNCT
amfbr-286	14	17	≥	≥	NOUN
amfbr-286	14	18	0	0	NUM
amfbr-286	14	19	for	for	ADP
amfbr-286	14	20	0≤x≤1	0≤x≤1	NOUN
amfbr-286	14	21	(	(	PUNCT
amfbr-286	14	22	v	v	NOUN
amfbr-286	14	23	)	)	PUNCT
amfbr-286	14	24	f(x	f(x	PROPN
amfbr-286	14	25	)	)	PUNCT
amfbr-286	14	26	≤	≤	NUM
amfbr-286	14	27	x	x	PUNCT
amfbr-286	14	28	for	for	ADP
amfbr-286	14	29	0	0	NUM
amfbr-286	14	30	<	<	NOUN
amfbr-286	14	31	x<1	x<1	PROPN
amfbr-286	14	32	(	(	PUNCT
amfbr-286	14	33	vi	vi	PROPN
amfbr-286	14	34	)	)	PUNCT
amfbr-286	14	35	0	0	NUM
amfbr-286	15	1	≤	≤	NUM
amfbr-286	15	2	∫	∫	NOUN
amfbr-286	15	3	𝑓(𝑥	𝑓(𝑥	NOUN
amfbr-286	15	4	)	)	PUNCT
amfbr-286	15	5	.	.	PUNCT
amfbr-286	16	1	𝑑𝑥	𝑑𝑥	VERB
amfbr-286	16	2	1	1	NUM
amfbr-286	16	3	0	0	NUM
amfbr-286	16	4	≤	≤	NUM
amfbr-286	16	5	1	1	NUM
amfbr-286	16	6	2	2	NUM
amfbr-286	16	7	it	it	PRON
amfbr-286	16	8	is	be	AUX
amfbr-286	16	9	obvious	obvious	ADJ
amfbr-286	16	10	that	that	SCONJ
amfbr-286	16	11	(	(	PUNCT
amfbr-286	16	12	vi	vi	NOUN
amfbr-286	16	13	)	)	PUNCT
amfbr-286	16	14	is	be	AUX
amfbr-286	16	15	redundant	redundant	ADJ
amfbr-286	16	16	;	;	PUNCT
amfbr-286	16	17	when	when	SCONJ
amfbr-286	16	18	(	(	PUNCT
amfbr-286	16	19	i	i	NOUN
amfbr-286	16	20	)	)	PUNCT
amfbr-286	16	21	to	to	ADP
amfbr-286	16	22	(	(	PUNCT
amfbr-286	16	23	v	v	NOUN
amfbr-286	16	24	)	)	PUNCT
amfbr-286	16	25	are	be	AUX
amfbr-286	16	26	satisfied	satisfied	ADJ
amfbr-286	16	27	.	.	PUNCT
amfbr-286	17	1	because	because	SCONJ
amfbr-286	17	2	by	by	ADP
amfbr-286	17	3	manipulating	manipulate	VERB
amfbr-286	17	4	(	(	PUNCT
amfbr-286	17	5	i	i	NOUN
amfbr-286	17	6	)	)	PUNCT
amfbr-286	17	7	to	to	ADP
amfbr-286	17	8	(	(	PUNCT
amfbr-286	17	9	v	v	NOUN
amfbr-286	17	10	)	)	PUNCT
amfbr-286	17	11	we	we	PRON
amfbr-286	17	12	have	have	VERB
amfbr-286	17	13	:	:	PUNCT
amfbr-286	17	14	0	0	NUM
amfbr-286	17	15	≤	≤	NUM
amfbr-286	17	16	f(x	f(x	PROPN
amfbr-286	17	17	)	)	PUNCT
amfbr-286	17	18	≤	≤	NUM
amfbr-286	17	19	x.	x.	NOUN
amfbr-286	17	20	by	by	ADP
amfbr-286	17	21	integrating	integrate	VERB
amfbr-286	17	22	this	this	DET
amfbr-286	17	23	inequality	inequality	NOUN
amfbr-286	17	24	,	,	PUNCT
amfbr-286	17	25	(	(	PUNCT
amfbr-286	17	26	vi	vi	X
amfbr-286	17	27	)	)	PUNCT
amfbr-286	17	28	is	be	AUX
amfbr-286	17	29	derived	derive	VERB
amfbr-286	17	30	:	:	PUNCT
amfbr-286	17	31	∫	∫	PROPN
amfbr-286	17	32	0	0	PROPN
amfbr-286	17	33	𝑑𝑥	𝑑𝑥	VERB
amfbr-286	17	34	1	1	NUM
amfbr-286	17	35	0	0	NUM
amfbr-286	17	36	≤	≤	NUM
amfbr-286	17	37	∫	∫	NOUN
amfbr-286	17	38	𝑓(𝑥	𝑓(𝑥	NOUN
amfbr-286	17	39	)	)	PUNCT
amfbr-286	17	40	.	.	PUNCT
amfbr-286	18	1	𝑑𝑥	𝑑𝑥	VERB
amfbr-286	18	2	1	1	NUM
amfbr-286	18	3	0	0	NUM
amfbr-286	18	4	≤	≤	NUM
amfbr-286	18	5	∫	∫	PROPN
amfbr-286	18	6	𝑥.	𝑥.	PROPN
amfbr-286	18	7	𝑑𝑥	𝑑𝑥	VERB
amfbr-286	18	8	1	1	NUM
amfbr-286	18	9	0	0	NUM
amfbr-286	18	10	or	or	CCONJ
amfbr-286	18	11	:	:	PUNCT
amfbr-286	18	12	0	0	NUM
amfbr-286	18	13	≤	≤	NUM
amfbr-286	18	14	∫	∫	NOUN
amfbr-286	18	15	𝑓(𝑥	𝑓(𝑥	NOUN
amfbr-286	18	16	)	)	PUNCT
amfbr-286	18	17	.	.	PUNCT
amfbr-286	19	1	𝑑𝑥	𝑑𝑥	VERB
amfbr-286	19	2	1	1	NUM
amfbr-286	19	3	0	0	NUM
amfbr-286	19	4	≤	≤	NUM
amfbr-286	19	5	1	1	NUM
amfbr-286	19	6	2	2	NUM
amfbr-286	19	7	therefore	therefore	ADV
amfbr-286	19	8	property	property	NOUN
amfbr-286	19	9	(	(	PUNCT
amfbr-286	19	10	vi	vi	NOUN
amfbr-286	19	11	)	)	PUNCT
amfbr-286	19	12	is	be	AUX
amfbr-286	19	13	always	always	ADV
amfbr-286	19	14	satisfied	satisfied	ADJ
amfbr-286	19	15	,	,	PUNCT
amfbr-286	19	16	and	and	CCONJ
amfbr-286	19	17	we	we	PRON
amfbr-286	19	18	need	need	VERB
amfbr-286	19	19	no	no	PRON
amfbr-286	19	20	more	more	ADJ
amfbr-286	19	21	to	to	PART
amfbr-286	19	22	test	test	VERB
amfbr-286	19	23	(	(	PUNCT
amfbr-286	19	24	vi	vi	NOUN
amfbr-286	19	25	)	)	PUNCT
amfbr-286	19	26	for	for	ADP
amfbr-286	19	27	any	any	DET
amfbr-286	19	28	function	function	NOUN
amfbr-286	19	29	which	which	PRON
amfbr-286	19	30	satisfies	satisfy	VERB
amfbr-286	19	31	(	(	PUNCT
amfbr-286	19	32	i	i	NOUN
amfbr-286	19	33	)	)	PUNCT
amfbr-286	19	34	to	to	ADP
amfbr-286	19	35	(	(	PUNCT
amfbr-286	19	36	v	v	NOUN
amfbr-286	19	37	)	)	PUNCT
amfbr-286	19	38	.	.	PUNCT
amfbr-286	20	1	let	let	VERB
amfbr-286	20	2	’s	’s	PRON
amfbr-286	20	3	review	review	VERB
amfbr-286	20	4	the	the	DET
amfbr-286	20	5	proposed	propose	VERB
amfbr-286	20	6	functional	functional	ADJ
amfbr-286	20	7	forms	form	NOUN
amfbr-286	20	8	:	:	PUNCT
amfbr-286	20	9	kakwani	kakwani	PROPN
amfbr-286	20	10	et	et	PROPN
amfbr-286	20	11	al	al	PROPN
amfbr-286	20	12	.	.	PROPN
amfbr-286	21	1	(	(	PUNCT
amfbr-286	21	2	4	4	NUM
amfbr-286	21	3	):	):	PUNCT
amfbr-286	21	4	𝑀	𝑀	PROPN
amfbr-286	21	5	=	=	PUNCT
amfbr-286	21	6	𝑎.	𝑎.	PROPN
amfbr-286	22	1	𝑁𝑙	𝑁𝑙	NOUN
amfbr-286	22	2	(	(	PUNCT
amfbr-286	22	3	2	2	NUM
amfbr-286	22	4	1/2	1/2	NUM
amfbr-286	22	5	−	−	NOUN
amfbr-286	22	6	𝑁)𝑐	𝑁)𝑐	PUNCT
amfbr-286	23	1	where	where	SCONJ
amfbr-286	23	2	𝑀	𝑀	PROPN
amfbr-286	23	3	=	=	PROPN
amfbr-286	23	4	𝑥−𝑦	𝑥−𝑦	PROPN
amfbr-286	23	5	21/2	21/2	NUM
amfbr-286	23	6	;	;	PUNCT
amfbr-286	23	7	𝑁	𝑁	PROPN
amfbr-286	23	8	=	=	PUNCT
amfbr-286	23	9	𝑥−𝑦	𝑥−𝑦	PROPN
amfbr-286	23	10	21/2	21/2	NUM
amfbr-286	23	11	;	;	PUNCT
amfbr-286	23	12	a≥	a≥	NOUN
amfbr-286	23	13	0	0	NUM
amfbr-286	23	14	;	;	PUNCT
amfbr-286	24	1	0	0	NUM
amfbr-286	24	2	≤	≤	NUM
amfbr-286	24	3	l	l	NOUN
amfbr-286	24	4	≤	≤	NUM
amfbr-286	24	5	1	1	NUM
amfbr-286	24	6	;	;	PUNCT
amfbr-286	24	7	0≤	0≤	NUM
amfbr-286	24	8	c	c	NOUN
amfbr-286	24	9	≤1	≤1	PROPN
amfbr-286	24	10	.	.	PUNCT
amfbr-286	25	1	this	this	DET
amfbr-286	25	2	form	form	NOUN
amfbr-286	25	3	does	do	AUX
amfbr-286	25	4	not	not	PART
amfbr-286	25	5	satisfy	satisfy	VERB
amfbr-286	25	6	all	all	DET
amfbr-286	25	7	the	the	DET
amfbr-286	25	8	properties	property	NOUN
amfbr-286	25	9	.	.	PUNCT
amfbr-286	26	1	rasche	rasche	NOUN
amfbr-286	26	2	et	et	PROPN
amfbr-286	26	3	al	al	PROPN
amfbr-286	26	4	.	.	PROPN
amfbr-286	27	1	(	(	PUNCT
amfbr-286	27	2	5	5	NUM
amfbr-286	27	3	):	):	PUNCT
amfbr-286	27	4	𝑦	𝑦	NOUN
amfbr-286	27	5	=	=	PUNCT
amfbr-286	28	1	[	[	X
amfbr-286	28	2	1	1	NUM
amfbr-286	28	3	−	−	NOUN
amfbr-286	28	4	(	(	PUNCT
amfbr-286	28	5	1	1	NUM
amfbr-286	28	6	−	−	PROPN
amfbr-286	28	7	𝑥)𝑎]1/𝑙	𝑥)𝑎]1/𝑙	PROPN
amfbr-286	28	8	where	where	SCONJ
amfbr-286	28	9	0≤	0≤	ADP
amfbr-286	28	10	a	a	DET
amfbr-286	28	11	≤1	≤1	PROPN
amfbr-286	28	12	;	;	PUNCT
amfbr-286	28	13	0	0	NUM
amfbr-286	28	14	≤	≤	NUM
amfbr-286	28	15	l≤	l≤	VERB
amfbr-286	28	16	1	1	NUM
amfbr-286	28	17	.	.	PUNCT
amfbr-286	28	18	this	this	DET
amfbr-286	28	19	form	form	NOUN
amfbr-286	28	20	makes	make	VERB
amfbr-286	28	21	the	the	DET
amfbr-286	28	22	estimation	estimation	NOUN
amfbr-286	28	23	of	of	ADP
amfbr-286	28	24	the	the	DET
amfbr-286	28	25	parameters	parameter	NOUN
amfbr-286	28	26	by	by	ADP
amfbr-286	28	27	the	the	DET
amfbr-286	28	28	least	least	ADJ
amfbr-286	28	29	squares	square	NOUN
amfbr-286	28	30	method	method	VERB
amfbr-286	28	31	difficult	difficult	ADJ
amfbr-286	28	32	.	.	PUNCT
amfbr-286	29	1	gupta	gupta	NOUN
amfbr-286	29	2	(	(	PUNCT
amfbr-286	29	3	1	1	NUM
amfbr-286	29	4	):	):	PUNCT
amfbr-286	29	5	𝑦	𝑦	NOUN
amfbr-286	29	6	=	=	PUNCT
amfbr-286	29	7	𝑥.	𝑥.	NOUN
amfbr-286	29	8	𝐴𝑥−1	𝐴𝑥−1	NOUN
amfbr-286	29	9	where	where	SCONJ
amfbr-286	29	10	a>1	a>1	VERB
amfbr-286	29	11	this	this	DET
amfbr-286	29	12	form	form	NOUN
amfbr-286	29	13	satisfies	satisfy	VERB
amfbr-286	29	14	definitional	definitional	ADJ
amfbr-286	29	15	properties	property	NOUN
amfbr-286	29	16	and	and	CCONJ
amfbr-286	29	17	simply	simply	ADV
amfbr-286	29	18	can	can	AUX
amfbr-286	29	19	be	be	AUX
amfbr-286	29	20	estimated	estimate	VERB
amfbr-286	29	21	by	by	ADP
amfbr-286	29	22	ordinary	ordinary	ADJ
amfbr-286	29	23	least	least	ADJ
amfbr-286	29	24	squares	square	NOUN
amfbr-286	29	25	method	method	NOUN
amfbr-286	29	26	;	;	PUNCT
amfbr-286	29	27	but	but	CCONJ
amfbr-286	29	28	by	by	ADP
amfbr-286	29	29	changing	change	VERB
amfbr-286	29	30	the	the	DET
amfbr-286	29	31	parameter	parameter	NOUN
amfbr-286	29	32	a	a	PRON
amfbr-286	29	33	(	(	PUNCT
amfbr-286	29	34	from	from	ADP
amfbr-286	29	35	ai	ai	VERB
amfbr-286	29	36	to	to	ADP
amfbr-286	29	37	aj	aj	PROPN
amfbr-286	29	38	)	)	PUNCT
amfbr-286	29	39	,	,	PUNCT
amfbr-286	29	40	the	the	DET
amfbr-286	29	41	resulted	resulted	ADJ
amfbr-286	29	42	functions	function	NOUN
amfbr-286	29	43	(	(	PUNCT
amfbr-286	29	44	yi	yi	NOUN
amfbr-286	29	45	and	and	CCONJ
amfbr-286	29	46	yj	yj	PROPN
amfbr-286	29	47	)	)	PUNCT
amfbr-286	29	48	will	will	AUX
amfbr-286	29	49	never	never	ADV
amfbr-286	29	50	intersect	intersect	VERB
amfbr-286	29	51	for	for	ADP
amfbr-286	29	52	0	0	NUM
amfbr-286	29	53	<	<	X
amfbr-286	29	54	x	x	X
amfbr-286	29	55	<	<	X
amfbr-286	29	56	1	1	NUM
amfbr-286	29	57	.	.	PUNCT
amfbr-286	29	58	to	to	PART
amfbr-286	29	59	prove	prove	VERB
amfbr-286	29	60	this	this	PRON
amfbr-286	29	61	,	,	PUNCT
amfbr-286	29	62	we	we	PRON
amfbr-286	29	63	can	can	AUX
amfbr-286	29	64	solve	solve	VERB
amfbr-286	29	65	the	the	DET
amfbr-286	29	66	following	follow	VERB
amfbr-286	29	67	system	system	NOUN
amfbr-286	29	68	:	:	PUNCT
amfbr-286	29	69	copyright	copyright	NOUN
amfbr-286	29	70	©	©	PROPN
amfbr-286	29	71	cc	cc	PROPN
amfbr-286	29	72	-	-	PUNCT
amfbr-286	29	73	by	by	ADP
amfbr-286	29	74	-	-	PUNCT
amfbr-286	29	75	nc	nc	PROPN
amfbr-286	29	76	2019	2019	NUM
amfbr-286	29	77	,	,	PUNCT
amfbr-286	29	78	cribfb	cribfb	PROPN
amfbr-286	29	79	|	|	ADV
amfbr-286	29	80	amfbr	amfbr	ADJ
amfbr-286	29	81	www.cribfb.com/journal/index.php/amfbr	www.cribfb.com/journal/index.php/amfbr	PROPN
amfbr-286	29	82	american	american	PROPN
amfbr-286	29	83	finance	finance	PROPN
amfbr-286	29	84	&	&	CCONJ
amfbr-286	29	85	banking	banking	PROPN
amfbr-286	29	86	review	review	PROPN
amfbr-286	29	87	vol	vol	NOUN
amfbr-286	29	88	.	.	PROPN
amfbr-286	30	1	4	4	NUM
amfbr-286	30	2	,	,	PUNCT
amfbr-286	30	3	no	no	INTJ
amfbr-286	30	4	.	.	NOUN
amfbr-286	30	5	1	1	NUM
amfbr-286	30	6	;	;	PUNCT
amfbr-286	30	7	2019	2019	NUM
amfbr-286	30	8	19	19	NUM
amfbr-286	30	9	{	{	PUNCT
amfbr-286	30	10	𝑦	𝑦	NOUN
amfbr-286	30	11	=	=	PUNCT
amfbr-286	30	12	𝑥.	𝑥.	VERB
amfbr-286	31	1	𝐴𝑖	𝐴𝑖	ADP
amfbr-286	31	2	𝑥−1	𝑥−1	PROPN
amfbr-286	31	3	𝑦	𝑦	NOUN
amfbr-286	31	4	=	=	PUNCT
amfbr-286	31	5	𝑥.	𝑥.	ADJ
amfbr-286	32	1	𝐴𝑗	𝐴𝑗	ADP
amfbr-286	32	2	𝑥−1	𝑥−1	NOUN
amfbr-286	32	3	solutions	solution	NOUN
amfbr-286	32	4	are	be	AUX
amfbr-286	32	5	x	x	X
amfbr-286	32	6	=	=	PUNCT
amfbr-286	32	7	y	y	PROPN
amfbr-286	32	8	=	=	SYM
amfbr-286	32	9	0	0	PROPN
amfbr-286	32	10	and	and	CCONJ
amfbr-286	32	11	x	x	X
amfbr-286	32	12	=	=	PUNCT
amfbr-286	32	13	y	y	PROPN
amfbr-286	32	14	=	=	PROPN
amfbr-286	32	15	1	1	NUM
amfbr-286	32	16	which	which	PRON
amfbr-286	32	17	are	be	AUX
amfbr-286	32	18	not	not	PART
amfbr-286	32	19	in	in	ADP
amfbr-286	32	20	the	the	DET
amfbr-286	32	21	domain	domain	NOUN
amfbr-286	32	22	0	0	PUNCT
amfbr-286	32	23	<	<	X
amfbr-286	32	24	x	x	X
amfbr-286	32	25	<	<	X
amfbr-286	32	26	1	1	NUM
amfbr-286	32	27	.	.	NOUN
amfbr-286	32	28	2	2	NUM
amfbr-286	32	29	.	.	X
amfbr-286	32	30	proposition	proposition	NOUN
amfbr-286	32	31	this	this	DET
amfbr-286	32	32	note	note	NOUN
amfbr-286	32	33	suggests	suggest	VERB
amfbr-286	32	34	the	the	DET
amfbr-286	32	35	following	follow	VERB
amfbr-286	32	36	functional	functional	ADJ
amfbr-286	32	37	form	form	NOUN
amfbr-286	32	38	which	which	PRON
amfbr-286	32	39	satisfies	satisfy	VERB
amfbr-286	32	40	the	the	DET
amfbr-286	32	41	definitional	definitional	ADJ
amfbr-286	32	42	properties	property	NOUN
amfbr-286	32	43	(	(	PUNCT
amfbr-286	32	44	i	i	NOUN
amfbr-286	32	45	)	)	PUNCT
amfbr-286	32	46	to	to	ADP
amfbr-286	32	47	(	(	PUNCT
amfbr-286	32	48	v	v	NOUN
amfbr-286	32	49	)	)	PUNCT
amfbr-286	32	50	;	;	PUNCT
amfbr-286	32	51	and	and	CCONJ
amfbr-286	32	52	by	by	ADP
amfbr-286	32	53	changing	change	VERB
amfbr-286	32	54	its	its	PRON
amfbr-286	32	55	parameters	parameter	NOUN
amfbr-286	32	56	,	,	PUNCT
amfbr-286	32	57	the	the	DET
amfbr-286	32	58	resulting	result	VERB
amfbr-286	32	59	curves	curve	NOUN
amfbr-286	32	60	may	may	AUX
amfbr-286	32	61	cross	cross	VERB
amfbr-286	32	62	each	each	DET
amfbr-286	32	63	other	other	ADJ
amfbr-286	32	64	:	:	PUNCT
amfbr-286	32	65	𝑦	𝑦	NOUN
amfbr-286	32	66	=	=	SYM
amfbr-286	32	67	𝑥𝐵	𝑥𝐵	PROPN
amfbr-286	32	68	.	.	PUNCT
amfbr-286	33	1	𝐴𝑥−1	𝐴𝑥−1	NOUN
amfbr-286	33	2	where	where	SCONJ
amfbr-286	33	3	b≥1	b≥1	NOUN
amfbr-286	33	4	;	;	PUNCT
amfbr-286	33	5	a≥1	a≥1	NOUN
amfbr-286	33	6	for	for	ADP
amfbr-286	33	7	0	0	NUM
amfbr-286	33	8	<	<	X
amfbr-286	33	9	x	x	SYM
amfbr-286	33	10	≤	≤	ADJ
amfbr-286	33	11	1	1	NUM
amfbr-286	33	12	definitional	definitional	ADJ
amfbr-286	33	13	properties	property	NOUN
amfbr-286	33	14	satisfy	satisfy	VERB
amfbr-286	33	15	as	as	SCONJ
amfbr-286	33	16	follows	follow	VERB
amfbr-286	33	17	:	:	PUNCT
amfbr-286	33	18	(	(	PUNCT
amfbr-286	33	19	i	i	NOUN
amfbr-286	33	20	)	)	PUNCT
amfbr-286	33	21	f(0	f(0	NOUN
amfbr-286	33	22	)	)	PUNCT
amfbr-286	33	23	=	=	SYM
amfbr-286	33	24	0	0	NUM
amfbr-286	33	25	(	(	PUNCT
amfbr-286	33	26	ii	ii	NOUN
amfbr-286	33	27	)	)	PUNCT
amfbr-286	33	28	f(1	f(1	PROPN
amfbr-286	33	29	)	)	PUNCT
amfbr-286	33	30	=	=	SYM
amfbr-286	33	31	1	1	NUM
amfbr-286	33	32	(	(	PUNCT
amfbr-286	33	33	iii	iii	NOUN
amfbr-286	33	34	)	)	PUNCT
amfbr-286	33	35	f’(x	f’(x	NOUN
amfbr-286	33	36	)	)	PUNCT
amfbr-286	33	37	=	=	SYM
amfbr-286	34	1	𝑥𝐵−1	𝑥𝐵−1	X
amfbr-286	34	2	.	.	PUNCT
amfbr-286	35	1	𝐴𝑥−1	𝐴𝑥−1	NOUN
amfbr-286	35	2	(	(	PUNCT
amfbr-286	35	3	b	b	PROPN
amfbr-286	35	4	+	+	CCONJ
amfbr-286	35	5	x.loga	x.loga	NUM
amfbr-286	35	6	)	)	PUNCT
amfbr-286	35	7	>	>	X
amfbr-286	35	8	0	0	PUNCT
amfbr-286	35	9	for	for	ADP
amfbr-286	35	10	0	0	NUM
amfbr-286	35	11	<	<	NOUN
amfbr-286	35	12	x<1	x<1	PROPN
amfbr-286	35	13	(	(	PUNCT
amfbr-286	35	14	iv	iv	X
amfbr-286	35	15	)	)	PUNCT
amfbr-286	35	16	f’’(x	f’’(x	PROPN
amfbr-286	35	17	)	)	PUNCT
amfbr-286	35	18	=	=	PUNCT
amfbr-286	35	19	𝑥𝐵−2	𝑥𝐵−2	NOUN
amfbr-286	35	20	.	.	PUNCT
amfbr-286	36	1	𝐴𝑥−1	𝐴𝑥−1	NOUN
amfbr-286	36	2	[	[	X
amfbr-286	36	3	(	(	PUNCT
amfbr-286	36	4	b	b	NOUN
amfbr-286	36	5	+	+	CCONJ
amfbr-286	36	6	x.	x.	NOUN
amfbr-286	36	7	loga)2	loga)2	NOUN
amfbr-286	36	8	–	–	PUNCT
amfbr-286	36	9	b	b	X
amfbr-286	36	10	]	]	X
amfbr-286	36	11	≥	≥	X
amfbr-286	36	12	0	0	NUM
amfbr-286	36	13	for	for	ADP
amfbr-286	36	14	0≤	0≤	ADJ
amfbr-286	36	15	x	x	SYM
amfbr-286	36	16	≤1	≤1	X
amfbr-286	36	17	(	(	PUNCT
amfbr-286	36	18	v	v	NOUN
amfbr-286	36	19	)	)	PUNCT
amfbr-286	36	20	f(x	f(x	PROPN
amfbr-286	36	21	)	)	PUNCT
amfbr-286	36	22	=	=	SYM
amfbr-286	36	23	𝑥𝐵	𝑥𝐵	NOUN
amfbr-286	36	24	.	.	PUNCT
amfbr-286	37	1	𝐴𝑥−1	𝐴𝑥−1	NOUN
amfbr-286	37	2	=	=	PUNCT
amfbr-286	37	3	𝑥𝐵	𝑥𝐵	NOUN
amfbr-286	37	4	𝐴1−𝑥	𝐴1−𝑥	VERB
amfbr-286	37	5	≤	≤	NUM
amfbr-286	37	6	𝑥	𝑥	NOUN
amfbr-286	37	7	for	for	ADP
amfbr-286	37	8	0	0	NUM
amfbr-286	37	9	<	<	X
amfbr-286	37	10	x	x	X
amfbr-286	37	11	<	<	X
amfbr-286	37	12	1	1	NUM
amfbr-286	37	13	different	different	ADJ
amfbr-286	37	14	shapes	shape	NOUN
amfbr-286	37	15	of	of	ADP
amfbr-286	37	16	the	the	DET
amfbr-286	37	17	function	function	NOUN
amfbr-286	37	18	as	as	ADP
amfbr-286	37	19	y	y	PROPN
amfbr-286	37	20	=	=	PUNCT
amfbr-286	37	21	𝑥𝐵𝑖	𝑥𝐵𝑖	NOUN
amfbr-286	37	22	.	.	PUNCT
amfbr-286	38	1	𝐴𝑖	𝐴𝑖	ADV
amfbr-286	38	2	𝑥−1	𝑥−1	PROPN
amfbr-286	38	3	and	and	CCONJ
amfbr-286	38	4	y	y	NOUN
amfbr-286	38	5	=	=	SYM
amfbr-286	38	6	𝑥𝐵𝑗	𝑥𝐵𝑗	X
amfbr-286	38	7	.	.	PUNCT
amfbr-286	39	1	𝐴𝑗	𝐴𝑗	ADV
amfbr-286	39	2	𝑥−1	𝑥−1	PROPN
amfbr-286	39	3	may	may	AUX
amfbr-286	39	4	have	have	VERB
amfbr-286	39	5	intersection	intersection	NOUN
amfbr-286	39	6	for	for	ADP
amfbr-286	39	7	0	0	NUM
amfbr-286	39	8	<	<	X
amfbr-286	39	9	x	x	X
amfbr-286	39	10	<	<	X
amfbr-286	39	11	1	1	NUM
amfbr-286	39	12	.	.	PUNCT
amfbr-286	39	13	by	by	ADP
amfbr-286	39	14	solving	solve	VERB
amfbr-286	39	15	the	the	DET
amfbr-286	39	16	following	follow	VERB
amfbr-286	39	17	system	system	NOUN
amfbr-286	39	18	:	:	PUNCT
amfbr-286	39	19	{	{	PUNCT
amfbr-286	39	20	𝑥𝐵𝑖	𝑥𝐵𝑖	NOUN
amfbr-286	39	21	.	.	PUNCT
amfbr-286	40	1	𝐴𝑖	𝐴𝑖	ADV
amfbr-286	40	2	𝑥−1	𝑥−1	NOUN
amfbr-286	40	3	𝑥𝐵𝑗	𝑥𝐵𝑗	NOUN
amfbr-286	40	4	.	.	PUNCT
amfbr-286	41	1	𝐴𝑗	𝐴𝑗	ADV
amfbr-286	41	2	𝑥−1	𝑥−1	PROPN
amfbr-286	41	3	(	(	PUNCT
amfbr-286	41	4	1	1	X
amfbr-286	41	5	)	)	PUNCT
amfbr-286	41	6	we	we	PRON
amfbr-286	41	7	get	get	VERB
amfbr-286	41	8	:	:	PUNCT
amfbr-286	42	1	𝑥−1	𝑥−1	NOUN
amfbr-286	42	2	𝑙𝑜𝑔𝑥	𝑙𝑜𝑔𝑥	ADJ
amfbr-286	42	3	=	=	SYM
amfbr-286	42	4	𝐵𝑗−	𝐵𝑗−	NOUN
amfbr-286	42	5	𝐵𝑖	𝐵𝑖	PROPN
amfbr-286	42	6	𝐿𝑜𝑔(𝐴𝑖	𝐿𝑜𝑔(𝐴𝑖	PROPN
amfbr-286	42	7	𝐴𝑗⁄	𝐴𝑗⁄	PROPN
amfbr-286	42	8	)	)	PUNCT
amfbr-286	42	9	(	(	PUNCT
amfbr-286	42	10	2	2	X
amfbr-286	42	11	)	)	PUNCT
amfbr-286	42	12	it	it	PRON
amfbr-286	42	13	is	be	AUX
amfbr-286	42	14	obvious	obvious	ADJ
amfbr-286	42	15	when	when	SCONJ
amfbr-286	42	16	(	(	PUNCT
amfbr-286	42	17	2	2	X
amfbr-286	42	18	)	)	PUNCT
amfbr-286	42	19	is	be	AUX
amfbr-286	42	20	satisfied	satisfied	ADJ
amfbr-286	42	21	;	;	PUNCT
amfbr-286	42	22	there	there	PRON
amfbr-286	42	23	is	be	VERB
amfbr-286	42	24	an	an	DET
amfbr-286	42	25	intersection	intersection	NOUN
amfbr-286	42	26	between	between	ADP
amfbr-286	42	27	two	two	NUM
amfbr-286	42	28	curves	curve	NOUN
amfbr-286	42	29	of	of	ADP
amfbr-286	42	30	(	(	PUNCT
amfbr-286	42	31	1	1	NUM
amfbr-286	42	32	)	)	PUNCT
amfbr-286	42	33	.	.	PUNCT
amfbr-286	43	1	so	so	ADV
amfbr-286	43	2	if	if	SCONJ
amfbr-286	43	3	we	we	PRON
amfbr-286	43	4	solve	solve	VERB
amfbr-286	43	5	the	the	DET
amfbr-286	43	6	following	follow	VERB
amfbr-286	43	7	system	system	NOUN
amfbr-286	43	8	{	{	PUNCT
amfbr-286	43	9	𝑥	𝑥	NOUN
amfbr-286	44	1	−	−	NUM
amfbr-286	44	2	1	1	NUM
amfbr-286	44	3	=	=	SYM
amfbr-286	44	4	𝐵𝑗	𝐵𝑗	PROPN
amfbr-286	44	5	−	−	PROPN
amfbr-286	44	6	𝐵𝑖	𝐵𝑖	PROPN
amfbr-286	44	7	𝑙𝑜𝑔𝑥	𝑙𝑜𝑔𝑥	NOUN
amfbr-286	44	8	=	=	NOUN
amfbr-286	44	9	log	log	NOUN
amfbr-286	44	10	(	(	PUNCT
amfbr-286	44	11	𝐴𝑖	𝐴𝑖	PROPN
amfbr-286	44	12	𝐴𝑗⁄	𝐴𝑗⁄	PROPN
amfbr-286	44	13	)	)	PUNCT
amfbr-286	44	14	(	(	PUNCT
amfbr-286	44	15	3	3	X
amfbr-286	44	16	)	)	PUNCT
amfbr-286	44	17	we	we	PRON
amfbr-286	44	18	can	can	AUX
amfbr-286	44	19	find	find	VERB
amfbr-286	44	20	a	a	DET
amfbr-286	44	21	relation	relation	NOUN
amfbr-286	44	22	in	in	ADP
amfbr-286	44	23	terms	term	NOUN
amfbr-286	44	24	of	of	ADP
amfbr-286	44	25	𝐴𝑖	𝐴𝑖	PROPN
amfbr-286	44	26	,	,	PUNCT
amfbr-286	44	27	𝐴𝑗	𝐴𝑗	PROPN
amfbr-286	44	28	,	,	PUNCT
amfbr-286	44	29	𝐵𝑖	𝐵𝑖	PROPN
amfbr-286	44	30	and	and	CCONJ
amfbr-286	44	31	𝐵𝑗	𝐵𝑗	PROPN
amfbr-286	44	32	which	which	PRON
amfbr-286	44	33	satisfies	satisfy	VERB
amfbr-286	44	34	(	(	PUNCT
amfbr-286	44	35	2	2	NUM
amfbr-286	44	36	)	)	PUNCT
amfbr-286	44	37	.	.	PUNCT
amfbr-286	45	1	therefore	therefore	ADV
amfbr-286	45	2	:	:	PUNCT
amfbr-286	45	3	𝐴𝑖	𝐴𝑖	PROPN
amfbr-286	45	4	𝐴𝑗	𝐴𝑗	PROPN
amfbr-286	45	5	⁄	⁄	PROPN
amfbr-286	45	6	−	−	NOUN
amfbr-286	45	7	1	1	NUM
amfbr-286	45	8	=	=	SYM
amfbr-286	45	9	𝐵𝑗	𝐵𝑗	PROPN
amfbr-286	45	10	−	−	PROPN
amfbr-286	45	11	𝐵𝑖	𝐵𝑖	PROPN
amfbr-286	45	12	(	(	PUNCT
amfbr-286	45	13	4	4	NUM
amfbr-286	45	14	)	)	PUNCT
amfbr-286	45	15	hence	hence	ADV
amfbr-286	45	16	,	,	PUNCT
amfbr-286	45	17	when	when	SCONJ
amfbr-286	45	18	𝐴𝑖	𝐴𝑖	PROPN
amfbr-286	45	19	,	,	PUNCT
amfbr-286	45	20	𝐴𝑗	𝐴𝑗	PROPN
amfbr-286	45	21	,	,	PUNCT
amfbr-286	45	22	𝐸𝑖	𝐸𝑖	PROPN
amfbr-286	45	23	and	and	CCONJ
amfbr-286	45	24	𝐵𝑗	𝐵𝑗	PROPN
amfbr-286	45	25	can	can	AUX
amfbr-286	45	26	satisfy	satisfy	VERB
amfbr-286	45	27	equation	equation	NOUN
amfbr-286	45	28	(	(	PUNCT
amfbr-286	45	29	4	4	NUM
amfbr-286	45	30	)	)	PUNCT
amfbr-286	45	31	,	,	PUNCT
amfbr-286	45	32	there	there	PRON
amfbr-286	45	33	is	be	VERB
amfbr-286	45	34	a	a	DET
amfbr-286	45	35	solution	solution	NOUN
amfbr-286	45	36	(	(	PUNCT
amfbr-286	45	37	or	or	CCONJ
amfbr-286	45	38	intersection	intersection	NOUN
amfbr-286	45	39	)	)	PUNCT
amfbr-286	45	40	for	for	ADP
amfbr-286	45	41	(	(	PUNCT
amfbr-286	45	42	1	1	NUM
amfbr-286	45	43	)	)	PUNCT
amfbr-286	45	44	.	.	PUNCT
amfbr-286	46	1	but	but	CCONJ
amfbr-286	46	2	the	the	DET
amfbr-286	46	3	intersection	intersection	NOUN
amfbr-286	46	4	is	be	AUX
amfbr-286	46	5	inside	inside	ADP
amfbr-286	46	6	the	the	DET
amfbr-286	46	7	domain	domain	NOUN
amfbr-286	46	8	0	0	PUNCT
amfbr-286	46	9	>	>	PUNCT
amfbr-286	46	10	x	x	PUNCT
amfbr-286	46	11	>	>	X
amfbr-286	46	12	1	1	NUM
amfbr-286	47	1	when	when	SCONJ
amfbr-286	47	2	:	:	PUNCT
amfbr-286	47	3	by	by	ADP
amfbr-286	47	4	using	use	VERB
amfbr-286	47	5	(	(	PUNCT
amfbr-286	47	6	3	3	NUM
amfbr-286	47	7	)	)	PUNCT
amfbr-286	47	8	and	and	CCONJ
amfbr-286	47	9	(	(	PUNCT
amfbr-286	47	10	4	4	X
amfbr-286	47	11	)	)	PUNCT
amfbr-286	47	12	copyright	copyright	NOUN
amfbr-286	47	13	©	©	PROPN
amfbr-286	47	14	cc	cc	PROPN
amfbr-286	47	15	-	-	PUNCT
amfbr-286	47	16	by	by	ADP
amfbr-286	47	17	-	-	PUNCT
amfbr-286	47	18	nc	nc	PROPN
amfbr-286	47	19	2019	2019	NUM
amfbr-286	47	20	,	,	PUNCT
amfbr-286	47	21	cribfb	cribfb	PROPN
amfbr-286	47	22	|	|	ADV
amfbr-286	47	23	amfbr	amfbr	ADJ
amfbr-286	47	24	www.cribfb.com/journal/index.php/amfbr	www.cribfb.com/journal/index.php/amfbr	PROPN
amfbr-286	47	25	american	american	PROPN
amfbr-286	47	26	finance	finance	PROPN
amfbr-286	47	27	&	&	CCONJ
amfbr-286	47	28	banking	banking	PROPN
amfbr-286	47	29	review	review	PROPN
amfbr-286	47	30	vol	vol	NOUN
amfbr-286	47	31	.	.	PROPN
amfbr-286	48	1	4	4	NUM
amfbr-286	48	2	,	,	PUNCT
amfbr-286	48	3	no	no	INTJ
amfbr-286	48	4	.	.	NOUN
amfbr-286	48	5	1	1	NUM
amfbr-286	48	6	;	;	PUNCT
amfbr-286	48	7	2019	2019	NUM
amfbr-286	48	8	20	20	NUM
amfbr-286	48	9	{	{	PUNCT
amfbr-286	48	10	0	0	NUM
amfbr-286	48	11	<	<	X
amfbr-286	48	12	𝑥	𝑥	X
amfbr-286	49	1	=	=	SYM
amfbr-286	49	2	𝐵𝑗	𝐵𝑗	PROPN
amfbr-286	49	3	−	−	PROPN
amfbr-286	49	4	𝐵𝑖	𝐵𝑖	PROPN
amfbr-286	50	1	+	+	CCONJ
amfbr-286	50	2	1	1	NUM
amfbr-286	50	3	<	<	SYM
amfbr-286	50	4	1	1	NUM
amfbr-286	50	5	0	0	NUM
amfbr-286	50	6	<	<	X
amfbr-286	50	7	𝑥	𝑥	X
amfbr-286	50	8	=	=	PUNCT
amfbr-286	50	9	(	(	PUNCT
amfbr-286	50	10	𝐴𝑖	𝐴𝑖	PROPN
amfbr-286	50	11	𝐴𝑗⁄	𝐴𝑗⁄	PROPN
amfbr-286	50	12	)	)	PUNCT
amfbr-286	50	13	<	<	X
amfbr-286	50	14	1	1	NUM
amfbr-286	51	1	or	or	CCONJ
amfbr-286	51	2	:	:	PUNCT
amfbr-286	51	3	{	{	PUNCT
amfbr-286	51	4	0	0	PUNCT
amfbr-286	51	5	<	<	X
amfbr-286	51	6	𝐵𝑗	𝐵𝑗	PROPN
amfbr-286	52	1	−	−	PROPN
amfbr-286	52	2	𝐵𝑖	𝐵𝑖	PROPN
amfbr-286	52	3	<	<	X
amfbr-286	52	4	1	1	NUM
amfbr-286	52	5	0	0	PUNCT
amfbr-286	52	6	<	<	X
amfbr-286	53	1	𝐴𝑖	𝐴𝑖	X
amfbr-286	53	2	<	<	X
amfbr-286	53	3	𝐴𝑗	𝐴𝑗	ADV
amfbr-286	53	4	the	the	DET
amfbr-286	53	5	second	second	ADJ
amfbr-286	53	6	thing	thing	NOUN
amfbr-286	53	7	that	that	PRON
amfbr-286	53	8	has	have	AUX
amfbr-286	53	9	been	be	AUX
amfbr-286	53	10	ignored	ignore	VERB
amfbr-286	53	11	is	be	AUX
amfbr-286	53	12	the	the	DET
amfbr-286	53	13	autoregressive	autoregressive	ADJ
amfbr-286	53	14	nature	nature	NOUN
amfbr-286	53	15	of	of	ADP
amfbr-286	53	16	the	the	DET
amfbr-286	53	17	errors	error	NOUN
amfbr-286	53	18	in	in	ADP
amfbr-286	53	19	the	the	DET
amfbr-286	53	20	lorenz	lorenz	PROPN
amfbr-286	53	21	curve	curve	PROPN
amfbr-286	53	22	data	data	PROPN
amfbr-286	53	23	.	.	PUNCT
amfbr-286	54	1	on	on	ADP
amfbr-286	54	2	the	the	DET
amfbr-286	54	3	other	other	ADJ
amfbr-286	54	4	hand	hand	NOUN
amfbr-286	54	5	,	,	PUNCT
amfbr-286	54	6	when	when	SCONJ
amfbr-286	54	7	there	there	PRON
amfbr-286	54	8	is	be	VERB
amfbr-286	54	9	an	an	DET
amfbr-286	54	10	error	error	NOUN
amfbr-286	54	11	in	in	ADP
amfbr-286	54	12	the	the	DET
amfbr-286	54	13	(	(	PUNCT
amfbr-286	54	14	𝑡	𝑡	PROPN
amfbr-286	54	15	−	−	PROPN
amfbr-286	54	16	1)th	1)th	NUM
amfbr-286	54	17	percent	percent	NOUN
amfbr-286	54	18	of	of	ADP
amfbr-286	54	19	income	income	NOUN
amfbr-286	54	20	earners	earner	NOUN
amfbr-286	54	21	,	,	PUNCT
amfbr-286	54	22	this	this	DET
amfbr-286	54	23	error	error	NOUN
amfbr-286	54	24	completely	completely	ADV
amfbr-286	54	25	will	will	AUX
amfbr-286	54	26	transfer	transfer	VERB
amfbr-286	54	27	to	to	ADP
amfbr-286	54	28	the	the	DET
amfbr-286	54	29	next	next	ADJ
amfbr-286	54	30	cumulative	cumulative	ADJ
amfbr-286	54	31	percent	percent	NOUN
amfbr-286	54	32	(	(	PUNCT
amfbr-286	54	33	t	t	PROPN
amfbr-286	54	34	)	)	PUNCT
amfbr-286	54	35	.	.	PUNCT
amfbr-286	55	1	this	this	PRON
amfbr-286	55	2	is	be	AUX
amfbr-286	55	3	because	because	SCONJ
amfbr-286	55	4	of	of	ADP
amfbr-286	55	5	using	use	VERB
amfbr-286	55	6	cumulative	cumulative	ADJ
amfbr-286	55	7	data	datum	NOUN
amfbr-286	55	8	to	to	PART
amfbr-286	55	9	estimate	estimate	VERB
amfbr-286	55	10	the	the	DET
amfbr-286	55	11	lorenz	lorenz	PROPN
amfbr-286	55	12	curve	curve	NOUN
amfbr-286	55	13	.	.	PUNCT
amfbr-286	56	1	so	so	ADV
amfbr-286	56	2	if	if	SCONJ
amfbr-286	56	3	we	we	PRON
amfbr-286	56	4	define	define	VERB
amfbr-286	56	5	𝑢𝑡	𝑢𝑡	NOUN
amfbr-286	56	6	as	as	ADP
amfbr-286	56	7	disturbance	disturbance	NOUN
amfbr-286	56	8	term	term	NOUN
amfbr-286	56	9	of	of	ADP
amfbr-286	56	10	the	the	DET
amfbr-286	56	11	tth	tth	PROPN
amfbr-286	56	12	observation	observation	NOUN
amfbr-286	56	13	(	(	PUNCT
amfbr-286	56	14	cumulative	cumulative	ADJ
amfbr-286	56	15	percent	percent	NOUN
amfbr-286	56	16	)	)	PUNCT
amfbr-286	56	17	,	,	PUNCT
amfbr-286	56	18	autoregressive	autoregressive	ADJ
amfbr-286	56	19	specification	specification	NOUN
amfbr-286	56	20	of	of	ADP
amfbr-286	56	21	the	the	DET
amfbr-286	56	22	error	error	NOUN
amfbr-286	56	23	would	would	AUX
amfbr-286	56	24	be	be	AUX
amfbr-286	56	25	:	:	PUNCT
amfbr-286	56	26	𝑢𝑡	𝑢𝑡	PROPN
amfbr-286	56	27	=	=	SYM
amfbr-286	56	28	𝑢𝑡−1	𝑢𝑡−1	PROPN
amfbr-286	56	29	+	+	CCONJ
amfbr-286	56	30	𝑉𝑡	𝑉𝑡	PROPN
amfbr-286	56	31	with	with	ADP
amfbr-286	56	32	𝑉𝑡	𝑉𝑡	PROPN
amfbr-286	56	33	obeying	obey	VERB
amfbr-286	56	34	classical	classical	ADJ
amfbr-286	56	35	assumptions	assumption	NOUN
amfbr-286	56	36	of	of	ADP
amfbr-286	56	37	regression	regression	NOUN
amfbr-286	56	38	.	.	PUNCT
amfbr-286	57	1	therefore	therefore	ADV
amfbr-286	57	2	the	the	DET
amfbr-286	57	3	stochastic	stochastic	ADJ
amfbr-286	57	4	form	form	NOUN
amfbr-286	57	5	of	of	ADP
amfbr-286	57	6	our	our	PRON
amfbr-286	57	7	suggested	suggest	VERB
amfbr-286	57	8	functional	functional	ADJ
amfbr-286	57	9	form	form	NOUN
amfbr-286	57	10	could	could	AUX
amfbr-286	57	11	be	be	AUX
amfbr-286	57	12	as	as	ADV
amfbr-286	57	13	follow	follow	VERB
amfbr-286	57	14	:	:	PUNCT
amfbr-286	57	15	𝑦𝑡	𝑦𝑡	PROPN
amfbr-286	58	1	=	=	PUNCT
amfbr-286	58	2	𝑥𝑡	𝑥𝑡	X
amfbr-286	58	3	𝐵	𝐵	NOUN
amfbr-286	58	4	.	.	PUNCT
amfbr-286	59	1	𝐴𝑥𝑡−1	𝐴𝑥𝑡−1	PROPN
amfbr-286	59	2	.	.	PUNCT
amfbr-286	60	1	𝑒𝑢𝑡	𝑒𝑢𝑡	PROPN
amfbr-286	60	2	(	(	PUNCT
amfbr-286	60	3	5	5	NUM
amfbr-286	60	4	)	)	PUNCT
amfbr-286	60	5	or	or	CCONJ
amfbr-286	60	6	:	:	PUNCT
amfbr-286	60	7	𝑦𝑡−1	𝑦𝑡−1	PROPN
amfbr-286	60	8	=	=	SYM
amfbr-286	60	9	𝑥𝑡−1	𝑥𝑡−1	PROPN
amfbr-286	60	10	𝐵	𝐵	NOUN
amfbr-286	60	11	.	.	PUNCT
amfbr-286	61	1	𝐴𝑥	𝐴𝑥	NOUN
amfbr-286	61	2	𝑡−1−1	𝑡−1−1	VERB
amfbr-286	61	3	.	.	PUNCT
amfbr-286	62	1	𝑒𝑢𝑡−1	𝑒𝑢𝑡−1	PROPN
amfbr-286	62	2	(	(	PUNCT
amfbr-286	62	3	6	6	NUM
amfbr-286	62	4	)	)	PUNCT
amfbr-286	62	5	dividing	dividing	NOUN
amfbr-286	62	6	(	(	PUNCT
amfbr-286	62	7	5	5	NUM
amfbr-286	62	8	)	)	PUNCT
amfbr-286	62	9	by	by	ADP
amfbr-286	62	10	(	(	PUNCT
amfbr-286	62	11	6	6	NUM
amfbr-286	62	12	)	)	PUNCT
amfbr-286	62	13	and	and	CCONJ
amfbr-286	62	14	taking	take	VERB
amfbr-286	62	15	natural	natural	ADJ
amfbr-286	62	16	logarithm	logarithm	NOUN
amfbr-286	62	17	:	:	PUNCT
amfbr-286	62	18	log	log	NOUN
amfbr-286	62	19	(	(	PUNCT
amfbr-286	62	20	𝑦𝑡	𝑦𝑡	PROPN
amfbr-286	62	21	𝑦𝑡−1	𝑦𝑡−1	PROPN
amfbr-286	62	22	)	)	PUNCT
amfbr-286	63	1	=	=	PUNCT
amfbr-286	63	2	𝐵.	𝐵.	NOUN
amfbr-286	63	3	log	log	NOUN
amfbr-286	63	4	(	(	PUNCT
amfbr-286	63	5	𝑥𝑡	𝑥𝑡	ADV
amfbr-286	63	6	𝑥𝑡−1	𝑥𝑡−1	PROPN
amfbr-286	63	7	)	)	PUNCT
amfbr-286	63	8	+	+	CCONJ
amfbr-286	63	9	𝑙𝑜𝑔𝐴.	𝑙𝑜𝑔𝐴.	NOUN
amfbr-286	63	10	(	(	PUNCT
amfbr-286	63	11	𝑥𝑡	𝑥𝑡	ADP
amfbr-286	63	12	−	−	PROPN
amfbr-286	63	13	𝑥𝑡−1	𝑥𝑡−1	PROPN
amfbr-286	63	14	)	)	PUNCT
amfbr-286	63	15	+	+	NUM
amfbr-286	63	16	𝑢𝑡	𝑢𝑡	NOUN
amfbr-286	63	17	−	−	PROPN
amfbr-286	63	18	𝑢𝑡−1	𝑢𝑡−1	PROPN
amfbr-286	63	19	(	(	PUNCT
amfbr-286	63	20	7	7	NUM
amfbr-286	63	21	)	)	PUNCT
amfbr-286	63	22	since	since	SCONJ
amfbr-286	63	23	𝑢𝑡	𝑢𝑡	NOUN
amfbr-286	63	24	−	−	PROPN
amfbr-286	63	25	𝑢𝑡−1	𝑢𝑡−1	PROPN
amfbr-286	63	26	=	=	PROPN
amfbr-286	63	27	𝑣𝑡	𝑣𝑡	NOUN
amfbr-286	63	28	and	and	CCONJ
amfbr-286	63	29	e(𝑣𝑡	e(𝑣𝑡	PROPN
amfbr-286	63	30	,	,	PUNCT
amfbr-286	63	31	𝑣𝑡−1	𝑣𝑡−1	VERB
amfbr-286	63	32	)	)	PUNCT
amfbr-286	63	33	=	=	SYM
amfbr-286	63	34	0	0	NOUN
amfbr-286	64	1	the	the	DET
amfbr-286	64	2	problem	problem	NOUN
amfbr-286	64	3	pf	pf	PROPN
amfbr-286	64	4	autoregression	autoregression	PROPN
amfbr-286	64	5	has	have	AUX
amfbr-286	64	6	been	be	AUX
amfbr-286	64	7	discarded	discard	VERB
amfbr-286	64	8	and	and	CCONJ
amfbr-286	64	9	(	(	PUNCT
amfbr-286	64	10	7	7	X
amfbr-286	64	11	)	)	PUNCT
amfbr-286	64	12	can	can	AUX
amfbr-286	64	13	be	be	AUX
amfbr-286	64	14	estimated	estimate	VERB
amfbr-286	64	15	by	by	ADP
amfbr-286	64	16	ordinary	ordinary	ADJ
amfbr-286	64	17	least	least	ADJ
amfbr-286	64	18	squares	square	NOUN
amfbr-286	64	19	easily	easily	ADV
amfbr-286	64	20	.	.	PUNCT
amfbr-286	65	1	references	reference	NOUN
amfbr-286	65	2	gupta	gupta	PROPN
amfbr-286	65	3	,	,	PUNCT
amfbr-286	65	4	m.r	m.r	PROPN
amfbr-286	65	5	.	.	PUNCT
amfbr-286	65	6	“	"	PUNCT
amfbr-286	65	7	functional	functional	ADJ
amfbr-286	65	8	forms	form	NOUN
amfbr-286	65	9	for	for	ADP
amfbr-286	65	10	estimating	estimate	VERB
amfbr-286	65	11	the	the	DET
amfbr-286	65	12	lorenz	lorenz	PROPN
amfbr-286	65	13	curve	curve	NOUN
amfbr-286	65	14	”	"	PUNCT
amfbr-286	65	15	,	,	PUNCT
amfbr-286	65	16	econometrica	econometrica	PROPN
amfbr-286	65	17	.	.	PUNCT
amfbr-286	66	1	52(1984	52(1984	NUM
amfbr-286	66	2	)	)	PUNCT
amfbr-286	66	3	,	,	PUNCT
amfbr-286	66	4	1313	1313	NUM
amfbr-286	66	5	-	-	SYM
amfbr-286	66	6	1314	1314	NUM
amfbr-286	66	7	.	.	PUNCT
amfbr-286	67	1	hagen	hagen	PROPN
amfbr-286	67	2	,	,	PUNCT
amfbr-286	67	3	e.e	e.e	PROPN
amfbr-286	67	4	.	.	PUNCT
amfbr-286	68	1	“	"	PUNCT
amfbr-286	68	2	the	the	DET
amfbr-286	68	3	economics	economic	NOUN
amfbr-286	68	4	of	of	ADP
amfbr-286	68	5	development	development	NOUN
amfbr-286	68	6	”	"	PUNCT
amfbr-286	68	7	.	.	PUNCT
amfbr-286	69	1	richard	richard	PROPN
amfbr-286	69	2	d.	d.	PROPN
amfbr-286	69	3	irwin	irwin	PROPN
amfbr-286	69	4	,	,	PUNCT
amfbr-286	69	5	inc	inc	PROPN
amfbr-286	69	6	.	.	PROPN
amfbr-286	69	7	homewood	homewood	PROPN
amfbr-286	69	8	,	,	PUNCT
amfbr-286	69	9	illinois	illinois	PROPN
amfbr-286	69	10	.	.	PROPN
amfbr-286	69	11	1975	1975	NUM
amfbr-286	69	12	,	,	PUNCT
amfbr-286	69	13	216	216	NUM
amfbr-286	69	14	-	-	SYM
amfbr-286	69	15	217	217	NUM
amfbr-286	69	16	.	.	PUNCT
amfbr-286	70	1	kakwani	kakwani	PROPN
amfbr-286	70	2	,	,	PUNCT
amfbr-286	70	3	n.c	n.c	PROPN
amfbr-286	70	4	.	.	PUNCT
amfbr-286	70	5	“	"	PUNCT
amfbr-286	70	6	functional	functional	ADJ
amfbr-286	70	7	form	form	NOUN
amfbr-286	70	8	for	for	ADP
amfbr-286	70	9	estimating	estimate	VERB
amfbr-286	70	10	the	the	DET
amfbr-286	70	11	lorenz	lorenz	PROPN
amfbr-286	70	12	curve	curve	NOUN
amfbr-286	70	13	:	:	PUNCT
amfbr-286	70	14	a	a	DET
amfbr-286	70	15	reply	reply	NOUN
amfbr-286	70	16	”	"	PUNCT
amfbr-286	70	17	.	.	PUNCT
amfbr-286	71	1	econometrica	econometrica	PROPN
amfbr-286	71	2	,	,	PUNCT
amfbr-286	71	3	48	48	NUM
amfbr-286	71	4	,	,	PUNCT
amfbr-286	71	5	(	(	PUNCT
amfbr-286	71	6	1980	1980	NUM
amfbr-286	71	7	)	)	PUNCT
amfbr-286	71	8	.	.	PUNCT
amfbr-286	72	1	1063	1063	NUM
amfbr-286	72	2	-	-	PUNCT
amfbr-286	72	3	1064	1064	NUM
amfbr-286	72	4	.	.	PUNCT
amfbr-286	73	1	kakwani	kakwani	PROPN
amfbr-286	73	2	,	,	PUNCT
amfbr-286	73	3	n.c	n.c	PROPN
amfbr-286	73	4	.	.	PROPN
amfbr-286	73	5	;	;	PUNCT
amfbr-286	73	6	n.	n.	NOUN
amfbr-286	73	7	podder	podder	NOUN
amfbr-286	73	8	,	,	PUNCT
amfbr-286	73	9	“	"	PUNCT
amfbr-286	73	10	efficient	efficient	ADJ
amfbr-286	73	11	estimation	estimation	NOUN
amfbr-286	73	12	of	of	ADP
amfbr-286	73	13	the	the	DET
amfbr-286	73	14	lorenz	lorenz	PROPN
amfbr-286	73	15	curve	curve	NOUN
amfbr-286	73	16	and	and	CCONJ
amfbr-286	73	17	associated	associated	ADJ
amfbr-286	73	18	inequality	inequality	NOUN
amfbr-286	73	19	measures	measure	NOUN
amfbr-286	73	20	from	from	ADP
amfbr-286	73	21	grouped	group	VERB
amfbr-286	73	22	observations	observation	NOUN
amfbr-286	73	23	.	.	PUNCT
amfbr-286	73	24	”	"	PUNCT
amfbr-286	74	1	econometrica	econometrica	PROPN
amfbr-286	74	2	.	.	PUNCT
amfbr-286	75	1	44(1976	44(1976	NOUN
amfbr-286	75	2	)	)	PUNCT
amfbr-286	75	3	,	,	PUNCT
amfbr-286	75	4	137	137	NUM
amfbr-286	75	5	-	-	SYM
amfbr-286	75	6	148	148	NUM
amfbr-286	75	7	.	.	PUNCT
amfbr-286	76	1	rasche	rasche	PROPN
amfbr-286	76	2	,	,	PUNCT
amfbr-286	76	3	r.h	r.h	PROPN
amfbr-286	76	4	.	.	PROPN
amfbr-286	76	5	,	,	PUNCT
amfbr-286	76	6	j.	j.	PROPN
amfbr-286	76	7	gaffney	gaffney	PROPN
amfbr-286	76	8	,	,	PUNCT
amfbr-286	76	9	a.y.c	a.y.c	PROPN
amfbr-286	76	10	.	.	PUNCT
amfbr-286	76	11	koo	koo	PROPN
amfbr-286	76	12	,	,	PUNCT
amfbr-286	76	13	anan	anan	PROPN
amfbr-286	76	14	.	.	PUNCT
amfbr-286	77	1	ofst	ofst	PROPN
amfbr-286	77	2	:	:	PUNCT
amfbr-286	77	3	“	"	PUNCT
amfbr-286	77	4	functional	functional	ADJ
amfbr-286	77	5	forms	form	NOUN
amfbr-286	77	6	for	for	ADP
amfbr-286	77	7	estimating	estimate	VERB
amfbr-286	77	8	the	the	DET
amfbr-286	77	9	lorenz	lorenz	PROPN
amfbr-286	77	10	curve	curve	NOUN
amfbr-286	77	11	,	,	PUNCT
amfbr-286	77	12	”	"	PUNCT
amfbr-286	77	13	econometrica	econometrica	PROPN
amfbr-286	77	14	,	,	PUNCT
amfbr-286	77	15	48(1980	48(1980	NUM
amfbr-286	77	16	)	)	PUNCT
amfbr-286	77	17	,	,	PUNCT
amfbr-286	77	18	1061	1061	NUM
amfbr-286	77	19	-	-	SYM
amfbr-286	77	20	1062	1062	NUM
amfbr-286	77	21	.	.	PUNCT
amfbr-286	78	1	bidabad	bidabad	PROPN
amfbr-286	78	2	,	,	PUNCT
amfbr-286	78	3	bijan	bijan	PROPN
amfbr-286	78	4	,	,	PUNCT
amfbr-286	78	5	continuous	continuous	ADJ
amfbr-286	78	6	l1	l1	PROPN
amfbr-286	78	7	norm	norm	NOUN
amfbr-286	78	8	estimation	estimation	NOUN
amfbr-286	78	9	of	of	ADP
amfbr-286	78	10	lorenz	lorenz	PROPN
amfbr-286	78	11	curve	curve	PROPN
amfbr-286	78	12	.	.	PUNCT
amfbr-286	79	1	http://www.bidabad.com/doc/l1-articl4.pdf	http://www.bidabad.com/doc/l1-articl4.pdf	AUX
amfbr-286	79	2	bidabad	bidabad	NOUN
amfbr-286	79	3	,	,	PUNCT
amfbr-286	79	4	bijan	bijan	NOUN
amfbr-286	79	5	,	,	PUNCT
amfbr-286	79	6	estimating	estimate	VERB
amfbr-286	79	7	lorenz	lorenz	PROPN
amfbr-286	79	8	curve	curve	NOUN
amfbr-286	79	9	for	for	ADP
amfbr-286	79	10	iran	iran	PROPN
amfbr-286	79	11	by	by	ADP
amfbr-286	79	12	using	use	VERB
amfbr-286	79	13	continuous	continuous	ADJ
amfbr-286	79	14	l1	l1	PROPN
amfbr-286	79	15	norm	norm	NOUN
amfbr-286	79	16	estimation	estimation	PROPN
amfbr-286	79	17	,	,	PUNCT
amfbr-286	79	18	economics	economic	NOUN
amfbr-286	79	19	and	and	CCONJ
amfbr-286	79	20	management	management	NOUN
amfbr-286	79	21	journal	journal	NOUN
amfbr-286	79	22	,	,	PUNCT
amfbr-286	79	23	islamic	islamic	PROPN
amfbr-286	79	24	azad	azad	PROPN
amfbr-286	79	25	university	university	PROPN
amfbr-286	79	26	,	,	PUNCT
amfbr-286	79	27	no	no	INTJ
amfbr-286	79	28	.	.	NOUN
amfbr-286	79	29	19	19	NUM
amfbr-286	79	30	,	,	PUNCT
amfbr-286	79	31	winter	winter	NOUN
amfbr-286	79	32	1993	1993	NUM
amfbr-286	79	33	,	,	PUNCT
amfbr-286	79	34	pp	pp	ADV
amfbr-286	79	35	.	.	PUNCT
amfbr-286	80	1	83	83	NUM
amfbr-286	80	2	-	-	SYM
amfbr-286	80	3	101	101	NUM
amfbr-286	80	4	.	.	PUNCT
amfbr-286	81	1	http://www.bidabad.com/doc/iraninc-l1.pdf	http://www.bidabad.com/doc/iraninc-l1.pdf	NOUN
amfbr-286	81	2	bidabad	bidabad	NOUN
amfbr-286	81	3	,	,	PUNCT
amfbr-286	81	4	bijan	bijan	PROPN
amfbr-286	81	5	,	,	PUNCT
amfbr-286	81	6	usa	usa	PROPN
amfbr-286	81	7	income	income	PROPN
amfbr-286	81	8	distribution	distribution	NOUN
amfbr-286	81	9	counter	counter	NOUN
amfbr-286	81	10	-	-	NOUN
amfbr-286	81	11	business	business	NOUN
amfbr-286	81	12	-	-	PUNCT
amfbr-286	81	13	cyclical	cyclical	ADJ
amfbr-286	81	14	trend	trend	NOUN
amfbr-286	81	15	(	(	PUNCT
amfbr-286	81	16	estimating	estimate	VERB
amfbr-286	81	17	lorenz	lorenz	PROPN
amfbr-286	81	18	curve	curve	NOUN
amfbr-286	81	19	using	use	VERB
amfbr-286	81	20	continuous	continuous	ADJ
amfbr-286	81	21	l1	l1	PROPN
amfbr-286	81	22	norm	norm	NOUN
amfbr-286	81	23	estimation	estimation	PROPN
amfbr-286	81	24	)	)	PUNCT
amfbr-286	81	25	.	.	PUNCT
amfbr-286	82	1	first	first	ADJ
amfbr-286	82	2	meeting	meeting	NOUN
amfbr-286	82	3	of	of	ADP
amfbr-286	82	4	the	the	DET
amfbr-286	82	5	society	society	NOUN
amfbr-286	82	6	for	for	ADP
amfbr-286	82	7	the	the	DET
amfbr-286	82	8	study	study	NOUN
amfbr-286	82	9	of	of	ADP
amfbr-286	82	10	economic	economic	ADJ
amfbr-286	82	11	inequality	inequality	NOUN
amfbr-286	82	12	(	(	PUNCT
amfbr-286	82	13	ecineq	ecineq	PROPN
amfbr-286	82	14	)	)	PUNCT
amfbr-286	82	15	,	,	PUNCT
amfbr-286	82	16	palma	palma	PROPN
amfbr-286	82	17	de	de	PROPN
amfbr-286	82	18	mallorca	mallorca	PROPN
amfbr-286	82	19	,	,	PUNCT
amfbr-286	82	20	spain	spain	PROPN
amfbr-286	82	21	,	,	PUNCT
amfbr-286	82	22	july	july	PROPN
amfbr-286	82	23	20	20	NUM
amfbr-286	82	24	-	-	SYM
amfbr-286	82	25	22	22	NUM
amfbr-286	82	26	,	,	PUNCT
amfbr-286	82	27	2005	2005	NUM
amfbr-286	82	28	.	.	PUNCT
amfbr-286	83	1	http://www.uib.es/congres/ecopub/ecineq/general.html	http://www.uib.es/congres/ecopub/ecineq/general.html	PROPN
amfbr-286	83	2	http://www.uib.es/congres/ecopub/ecineq/papers/039bidabab.pdf	http://www.uib.es/congres/ecopub/ecineq/papers/039bidabab.pdf	PROPN
amfbr-286	83	3	http://www.bidabad.com/doc/estimating-lorenz-us.pdf	http://www.bidabad.com/doc/estimating-lorenz-us.pdf	PROPN
amfbr-286	83	4	http://www.bidabad.com/doc/l1-article4.pdf	http://www.bidabad.com/doc/l1-article4.pdf	PROPN
amfbr-286	83	5	http://www.bidabad.com/doc/l1-article4.pdf	http://www.bidabad.com/doc/l1-article4.pdf	PROPN
amfbr-286	83	6	http://www.bidabad.com/doc/iraninc-l1.pdf	http://www.bidabad.com/doc/iraninc-l1.pdf	PROPN
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