id	sid	tid	token	lemma	pos
aeasj-347	1	1	copyright	copyright	NOUN
aeasj-347	1	2	©	©	PROPN
aeasj-347	1	3	cc	cc	PROPN
aeasj-347	1	4	-	-	PUNCT
aeasj-347	1	5	by	by	ADP
aeasj-347	1	6	-	-	PUNCT
aeasj-347	1	7	nc	nc	PROPN
aeasj-347	1	8	2019	2019	NUM
aeasj-347	1	9	,	,	PUNCT
aeasj-347	1	10	cribfb	cribfb	VERB
aeasj-347	1	11	|	|	ADV
aeasj-347	1	12	aesr	aesr	VERB
aeasj-347	1	13	american	american	PROPN
aeasj-347	1	14	economic	economic	PROPN
aeasj-347	1	15	&	&	CCONJ
aeasj-347	1	16	social	social	PROPN
aeasj-347	1	17	review	review	NOUN
aeasj-347	1	18	;	;	PUNCT
aeasj-347	1	19	vol	vol	NOUN
aeasj-347	1	20	.	.	PROPN
aeasj-347	1	21	5	5	NUM
aeasj-347	1	22	,	,	PUNCT
aeasj-347	1	23	no	no	INTJ
aeasj-347	1	24	.	.	NOUN
aeasj-347	1	25	2	2	NUM
aeasj-347	1	26	;	;	PUNCT
aeasj-347	1	27	2019	2019	NUM
aeasj-347	1	28	issn	issn	VERB
aeasj-347	1	29	2576	2576	NUM
aeasj-347	1	30	-	-	SYM
aeasj-347	1	31	1269	1269	NUM
aeasj-347	1	32	e	e	NOUN
aeasj-347	1	33	-	-	NOUN
aeasj-347	1	34	issn	issn	PROPN
aeasj-347	1	35	2576	2576	NUM
aeasj-347	1	36	-	-	SYM
aeasj-347	1	37	1277	1277	NUM
aeasj-347	1	38	published	publish	VERB
aeasj-347	1	39	by	by	ADP
aeasj-347	1	40	centre	centre	NOUN
aeasj-347	1	41	for	for	ADP
aeasj-347	1	42	research	research	NOUN
aeasj-347	1	43	on	on	ADP
aeasj-347	1	44	islamic	islamic	ADJ
aeasj-347	1	45	banking	banking	PROPN
aeasj-347	1	46	&	&	CCONJ
aeasj-347	1	47	finance	finance	PROPN
aeasj-347	1	48	and	and	CCONJ
aeasj-347	1	49	business	business	NOUN
aeasj-347	1	50	,	,	PUNCT
aeasj-347	1	51	usa	usa	PROPN
aeasj-347	1	52	12	12	NUM
aeasj-347	1	53	the	the	DET
aeasj-347	1	54	“	"	PUNCT
aeasj-347	1	55	deciles	decile	NOUN
aeasj-347	1	56	implied	imply	VERB
aeasj-347	1	57	inequality	inequality	NOUN
aeasj-347	1	58	indices	index	NOUN
aeasj-347	1	59	”	"	PUNCT
aeasj-347	1	60	for	for	ADP
aeasj-347	1	61	expressing	express	VERB
aeasj-347	1	62	income	income	NOUN
aeasj-347	1	63	distribution	distribution	NOUN
aeasj-347	1	64	and	and	CCONJ
aeasj-347	1	65	measuring	measure	VERB
aeasj-347	1	66	public	public	ADJ
aeasj-347	1	67	financial	financial	ADJ
aeasj-347	1	68	burden	burden	NOUN
aeasj-347	1	69	of	of	ADP
aeasj-347	1	70	equalization	equalization	NOUN
aeasj-347	1	71	policies	policy	NOUN
aeasj-347	1	72	bijan	bijan	PROPN
aeasj-347	1	73	bidabad	bidabad	NOUN
aeasj-347	1	74	professor	professor	NOUN
aeasj-347	1	75	economics	economic	NOUN
aeasj-347	1	76	and	and	CCONJ
aeasj-347	1	77	chief	chief	ADJ
aeasj-347	1	78	islamic	islamic	PROPN
aeasj-347	1	79	banking	banking	PROPN
aeasj-347	1	80	advisor	advisor	PROPN
aeasj-347	1	81	bank	bank	PROPN
aeasj-347	1	82	melli	melli	PROPN
aeasj-347	1	83	iran	iran	PROPN
aeasj-347	1	84	,	,	PUNCT
aeasj-347	1	85	tehran	tehran	PROPN
aeasj-347	1	86	,	,	PUNCT
aeasj-347	1	87	iran	iran	PROPN
aeasj-347	1	88	email	email	NOUN
aeasj-347	1	89	:	:	PUNCT
aeasj-347	1	90	bijan@bidabad.com	bijan@bidabad.com	X
aeasj-347	2	1	abstract	abstract	ADJ
aeasj-347	2	2	different	different	ADJ
aeasj-347	2	3	ways	way	NOUN
aeasj-347	2	4	have	have	AUX
aeasj-347	2	5	been	be	AUX
aeasj-347	2	6	proposed	propose	VERB
aeasj-347	2	7	to	to	PART
aeasj-347	2	8	measure	measure	VERB
aeasj-347	2	9	income	income	NOUN
aeasj-347	2	10	inequality	inequality	NOUN
aeasj-347	2	11	;	;	PUNCT
aeasj-347	2	12	there	there	PRON
aeasj-347	2	13	is	be	VERB
aeasj-347	2	14	no	no	DET
aeasj-347	2	15	best	good	ADJ
aeasj-347	2	16	way	way	NOUN
aeasj-347	2	17	to	to	PART
aeasj-347	2	18	calculate	calculate	VERB
aeasj-347	2	19	the	the	DET
aeasj-347	2	20	inequality	inequality	NOUN
aeasj-347	2	21	index	index	NOUN
aeasj-347	2	22	that	that	PRON
aeasj-347	2	23	expresses	express	VERB
aeasj-347	2	24	income	income	NOUN
aeasj-347	2	25	distribution	distribution	NOUN
aeasj-347	2	26	as	as	SCONJ
aeasj-347	2	27	it	it	PRON
aeasj-347	2	28	is	be	AUX
aeasj-347	2	29	.	.	PUNCT
aeasj-347	3	1	popular	popular	ADJ
aeasj-347	3	2	inequality	inequality	NOUN
aeasj-347	3	3	indices	index	NOUN
aeasj-347	3	4	provide	provide	VERB
aeasj-347	3	5	information	information	NOUN
aeasj-347	3	6	about	about	ADP
aeasj-347	3	7	some	some	DET
aeasj-347	3	8	points	point	NOUN
aeasj-347	3	9	on	on	ADP
aeasj-347	3	10	the	the	DET
aeasj-347	3	11	distribution	distribution	NOUN
aeasj-347	3	12	function	function	NOUN
aeasj-347	3	13	and	and	CCONJ
aeasj-347	3	14	analyze	analyze	VERB
aeasj-347	3	15	the	the	DET
aeasj-347	3	16	inequality	inequality	NOUN
aeasj-347	3	17	of	of	ADP
aeasj-347	3	18	income	income	NOUN
aeasj-347	3	19	without	without	ADP
aeasj-347	3	20	reference	reference	NOUN
aeasj-347	3	21	to	to	ADP
aeasj-347	3	22	the	the	DET
aeasj-347	3	23	amount	amount	NOUN
aeasj-347	3	24	of	of	ADP
aeasj-347	3	25	the	the	DET
aeasj-347	3	26	budget	budget	NOUN
aeasj-347	3	27	needed	need	VERB
aeasj-347	3	28	to	to	PART
aeasj-347	3	29	improve	improve	VERB
aeasj-347	3	30	the	the	DET
aeasj-347	3	31	income	income	NOUN
aeasj-347	3	32	distribution	distribution	NOUN
aeasj-347	3	33	.	.	PUNCT
aeasj-347	4	1	in	in	ADP
aeasj-347	4	2	this	this	DET
aeasj-347	4	3	paper	paper	NOUN
aeasj-347	4	4	,	,	PUNCT
aeasj-347	4	5	we	we	PRON
aeasj-347	4	6	propose	propose	VERB
aeasj-347	4	7	a	a	DET
aeasj-347	4	8	set	set	NOUN
aeasj-347	4	9	of	of	ADP
aeasj-347	4	10	“	"	PUNCT
aeasj-347	4	11	deciles	decile	NOUN
aeasj-347	4	12	implied	imply	VERB
aeasj-347	4	13	inequality	inequality	NOUN
aeasj-347	4	14	indices	index	NOUN
aeasj-347	4	15	”	"	PUNCT
aeasj-347	4	16	.	.	PUNCT
aeasj-347	5	1	by	by	ADP
aeasj-347	5	2	using	use	VERB
aeasj-347	5	3	this	this	DET
aeasj-347	5	4	index	index	NOUN
aeasj-347	5	5	,	,	PUNCT
aeasj-347	5	6	we	we	PRON
aeasj-347	5	7	can	can	AUX
aeasj-347	5	8	show	show	VERB
aeasj-347	5	9	how	how	SCONJ
aeasj-347	5	10	much	much	ADJ
aeasj-347	5	11	transfer	transfer	NOUN
aeasj-347	5	12	payment	payment	NOUN
aeasj-347	5	13	is	be	AUX
aeasj-347	5	14	needed	need	VERB
aeasj-347	5	15	as	as	ADP
aeasj-347	5	16	a	a	DET
aeasj-347	5	17	redistribution	redistribution	NOUN
aeasj-347	5	18	policy	policy	NOUN
aeasj-347	5	19	to	to	PART
aeasj-347	5	20	achieve	achieve	VERB
aeasj-347	5	21	a	a	DET
aeasj-347	5	22	desired	desire	VERB
aeasj-347	5	23	income	income	NOUN
aeasj-347	5	24	distribution	distribution	NOUN
aeasj-347	5	25	consistent	consistent	ADJ
aeasj-347	5	26	with	with	ADP
aeasj-347	5	27	the	the	DET
aeasj-347	5	28	perceived	perceive	VERB
aeasj-347	5	29	economic	economic	ADJ
aeasj-347	5	30	goals	goal	NOUN
aeasj-347	5	31	of	of	ADP
aeasj-347	5	32	the	the	DET
aeasj-347	5	33	society	society	NOUN
aeasj-347	5	34	.	.	PUNCT
aeasj-347	6	1	that	that	PRON
aeasj-347	6	2	is	is	ADV
aeasj-347	6	3	,	,	PUNCT
aeasj-347	6	4	we	we	PRON
aeasj-347	6	5	try	try	VERB
aeasj-347	6	6	to	to	PART
aeasj-347	6	7	find	find	VERB
aeasj-347	6	8	a	a	DET
aeasj-347	6	9	fiscalcompensation	fiscalcompensation	NOUN
aeasj-347	6	10	-	-	PUNCT
aeasj-347	6	11	based	base	VERB
aeasj-347	6	12	index	index	NOUN
aeasj-347	6	13	for	for	ADP
aeasj-347	6	14	reducing	reduce	VERB
aeasj-347	6	15	inequality	inequality	NOUN
aeasj-347	6	16	.	.	PUNCT
aeasj-347	7	1	by	by	ADP
aeasj-347	7	2	using	use	VERB
aeasj-347	7	3	“	"	PUNCT
aeasj-347	7	4	deciles	decile	NOUN
aeasj-347	7	5	implied	imply	VERB
aeasj-347	7	6	inequality	inequality	NOUN
aeasj-347	7	7	indices	index	NOUN
aeasj-347	7	8	”	"	PUNCT
aeasj-347	7	9	,	,	PUNCT
aeasj-347	7	10	we	we	PRON
aeasj-347	7	11	may	may	AUX
aeasj-347	7	12	measure	measure	VERB
aeasj-347	7	13	how	how	SCONJ
aeasj-347	7	14	much	much	ADJ
aeasj-347	7	15	income	income	NOUN
aeasj-347	7	16	(	(	PUNCT
aeasj-347	7	17	tax	tax	NOUN
aeasj-347	7	18	and	and	CCONJ
aeasj-347	7	19	subsidy	subsidy	NOUN
aeasj-347	7	20	)	)	PUNCT
aeasj-347	7	21	may	may	AUX
aeasj-347	7	22	be	be	AUX
aeasj-347	7	23	redistributed	redistribute	VERB
aeasj-347	7	24	to	to	PART
aeasj-347	7	25	reach	reach	VERB
aeasj-347	7	26	the	the	DET
aeasj-347	7	27	targeted	target	VERB
aeasj-347	7	28	income	income	NOUN
aeasj-347	7	29	distribution	distribution	NOUN
aeasj-347	7	30	policy	policy	NOUN
aeasj-347	7	31	.	.	PUNCT
aeasj-347	8	1	keywords	keyword	NOUN
aeasj-347	8	2	:	:	PUNCT
aeasj-347	8	3	income	income	NOUN
aeasj-347	8	4	distribution	distribution	NOUN
aeasj-347	8	5	,	,	PUNCT
aeasj-347	8	6	inequality	inequality	NOUN
aeasj-347	8	7	index	index	NOUN
aeasj-347	8	8	,	,	PUNCT
aeasj-347	8	9	lorenz	lorenz	PROPN
aeasj-347	8	10	curve	curve	PROPN
aeasj-347	8	11	,	,	PUNCT
aeasj-347	8	12	public	public	ADJ
aeasj-347	8	13	finance	finance	NOUN
aeasj-347	8	14	,	,	PUNCT
aeasj-347	8	15	equalization	equalization	NOUN
aeasj-347	8	16	policy	policy	NOUN
aeasj-347	8	17	.	.	PUNCT
aeasj-347	9	1	keywords	keyword	NOUN
aeasj-347	9	2	:	:	PUNCT
aeasj-347	9	3	jel	jel	PROPN
aeasj-347	9	4	:	:	PUNCT
aeasj-347	9	5	c63	c63	PROPN
aeasj-347	9	6	1	1	NUM
aeasj-347	9	7	.	.	PUNCT
aeasj-347	9	8	introduction	introduction	NOUN
aeasj-347	9	9	for	for	ADP
aeasj-347	9	10	better	well	ADJ
aeasj-347	9	11	distribution	distribution	NOUN
aeasj-347	9	12	of	of	ADP
aeasj-347	9	13	income	income	NOUN
aeasj-347	9	14	and	and	CCONJ
aeasj-347	9	15	welfare	welfare	NOUN
aeasj-347	9	16	,	,	PUNCT
aeasj-347	9	17	the	the	DET
aeasj-347	9	18	government	government	NOUN
aeasj-347	9	19	might	might	AUX
aeasj-347	9	20	redistribute	redistribute	VERB
aeasj-347	9	21	income	income	NOUN
aeasj-347	9	22	through	through	ADP
aeasj-347	9	23	tax	tax	NOUN
aeasj-347	9	24	,	,	PUNCT
aeasj-347	9	25	subsidy	subsidy	NOUN
aeasj-347	9	26	,	,	PUNCT
aeasj-347	9	27	or	or	CCONJ
aeasj-347	9	28	transfer	transfer	VERB
aeasj-347	9	29	payments	payment	NOUN
aeasj-347	9	30	to	to	PART
aeasj-347	9	31	achieve	achieve	VERB
aeasj-347	9	32	equity	equity	NOUN
aeasj-347	9	33	and	and	CCONJ
aeasj-347	9	34	promote	promote	VERB
aeasj-347	9	35	the	the	DET
aeasj-347	9	36	utility	utility	NOUN
aeasj-347	9	37	of	of	ADP
aeasj-347	9	38	every	every	DET
aeasj-347	9	39	member	member	NOUN
aeasj-347	9	40	of	of	ADP
aeasj-347	9	41	the	the	DET
aeasj-347	9	42	society	society	NOUN
aeasj-347	9	43	.	.	PUNCT
aeasj-347	10	1	popular	popular	ADJ
aeasj-347	10	2	inequality	inequality	NOUN
aeasj-347	10	3	indices	index	NOUN
aeasj-347	10	4	provide	provide	VERB
aeasj-347	10	5	comparative	comparative	ADJ
aeasj-347	10	6	information	information	NOUN
aeasj-347	10	7	about	about	ADP
aeasj-347	10	8	the	the	DET
aeasj-347	10	9	income	income	NOUN
aeasj-347	10	10	or	or	CCONJ
aeasj-347	10	11	wealth	wealth	NOUN
aeasj-347	10	12	distribution	distribution	NOUN
aeasj-347	10	13	without	without	ADP
aeasj-347	10	14	responding	respond	VERB
aeasj-347	10	15	to	to	ADP
aeasj-347	10	16	the	the	DET
aeasj-347	10	17	question	question	NOUN
aeasj-347	10	18	of	of	ADP
aeasj-347	10	19	what	what	PRON
aeasj-347	10	20	the	the	DET
aeasj-347	10	21	amount	amount	NOUN
aeasj-347	10	22	of	of	ADP
aeasj-347	10	23	the	the	DET
aeasj-347	10	24	money	money	NOUN
aeasj-347	10	25	needed	need	VERB
aeasj-347	10	26	to	to	PART
aeasj-347	10	27	improve	improve	VERB
aeasj-347	10	28	the	the	DET
aeasj-347	10	29	distribution	distribution	NOUN
aeasj-347	10	30	.	.	PUNCT
aeasj-347	11	1	in	in	ADP
aeasj-347	11	2	this	this	DET
aeasj-347	11	3	paper	paper	NOUN
aeasj-347	11	4	,	,	PUNCT
aeasj-347	11	5	we	we	PRON
aeasj-347	11	6	define	define	VERB
aeasj-347	11	7	a	a	DET
aeasj-347	11	8	series	series	NOUN
aeasj-347	11	9	of	of	ADP
aeasj-347	11	10	income	income	NOUN
aeasj-347	11	11	inequality	inequality	NOUN
aeasj-347	11	12	indices	index	NOUN
aeasj-347	11	13	;	;	PUNCT
aeasj-347	11	14	namely	namely	ADV
aeasj-347	11	15	,	,	PUNCT
aeasj-347	11	16	the	the	DET
aeasj-347	11	17	“	"	PUNCT
aeasj-347	11	18	deciles	decile	NOUN
aeasj-347	11	19	implied	imply	VERB
aeasj-347	11	20	inequality	inequality	NOUN
aeasj-347	11	21	indices	index	NOUN
aeasj-347	11	22	”	"	PUNCT
aeasj-347	11	23	to	to	PART
aeasj-347	11	24	show	show	VERB
aeasj-347	11	25	how	how	SCONJ
aeasj-347	11	26	much	much	ADJ
aeasj-347	11	27	transfer	transfer	NOUN
aeasj-347	11	28	payments	payment	NOUN
aeasj-347	11	29	or	or	CCONJ
aeasj-347	11	30	redistribution	redistribution	NOUN
aeasj-347	11	31	policies	policy	NOUN
aeasj-347	11	32	are	be	AUX
aeasj-347	11	33	needed	need	VERB
aeasj-347	11	34	to	to	PART
aeasj-347	11	35	achieve	achieve	VERB
aeasj-347	11	36	a	a	DET
aeasj-347	11	37	desired	desire	VERB
aeasj-347	11	38	distribution	distribution	NOUN
aeasj-347	11	39	of	of	ADP
aeasj-347	11	40	income	income	NOUN
aeasj-347	11	41	in	in	ADP
aeasj-347	11	42	accordance	accordance	NOUN
aeasj-347	11	43	of	of	ADP
aeasj-347	11	44	the	the	DET
aeasj-347	11	45	economic	economic	ADJ
aeasj-347	11	46	equity	equity	NOUN
aeasj-347	11	47	goal	goal	NOUN
aeasj-347	11	48	of	of	ADP
aeasj-347	11	49	the	the	DET
aeasj-347	11	50	policy	policy	NOUN
aeasj-347	11	51	-	-	PUNCT
aeasj-347	11	52	maker	maker	NOUN
aeasj-347	11	53	.	.	PUNCT
aeasj-347	12	1	there	there	PRON
aeasj-347	12	2	are	be	VERB
aeasj-347	12	3	different	different	ADJ
aeasj-347	12	4	measures	measure	NOUN
aeasj-347	12	5	of	of	ADP
aeasj-347	12	6	income	income	NOUN
aeasj-347	12	7	inequality	inequality	NOUN
aeasj-347	12	8	(	(	PUNCT
aeasj-347	12	9	atkinson	atkinson	PROPN
aeasj-347	12	10	(	(	PUNCT
aeasj-347	12	11	1970	1970	NUM
aeasj-347	12	12	)	)	PUNCT
aeasj-347	12	13	;	;	PUNCT
aeasj-347	12	14	cowell	cowell	INTJ
aeasj-347	12	15	(	(	PUNCT
aeasj-347	12	16	1977	1977	NUM
aeasj-347	12	17	)	)	PUNCT
aeasj-347	12	18	;	;	PUNCT
aeasj-347	12	19	sen	sen	PROPN
aeasj-347	12	20	(	(	PUNCT
aeasj-347	12	21	1973	1973	NUM
aeasj-347	12	22	)	)	PUNCT
aeasj-347	12	23	)	)	PUNCT
aeasj-347	12	24	.	.	PUNCT
aeasj-347	13	1	popular	popular	ADJ
aeasj-347	13	2	measures	measure	NOUN
aeasj-347	13	3	are	be	AUX
aeasj-347	13	4	such	such	ADJ
aeasj-347	13	5	as	as	ADP
aeasj-347	13	6	the	the	DET
aeasj-347	13	7	gini	gini	PROPN
aeasj-347	13	8	index	index	PROPN
aeasj-347	13	9	;	;	PUNCT
aeasj-347	13	10	the	the	DET
aeasj-347	13	11	decile	decile	NOUN
aeasj-347	13	12	ratio	ratio	NOUN
aeasj-347	13	13	;	;	PUNCT
aeasj-347	13	14	the	the	DET
aeasj-347	13	15	proportions	proportion	NOUN
aeasj-347	13	16	of	of	ADP
aeasj-347	13	17	total	total	ADJ
aeasj-347	13	18	income	income	NOUN
aeasj-347	13	19	earned	earn	VERB
aeasj-347	13	20	by	by	ADP
aeasj-347	13	21	the	the	DET
aeasj-347	13	22	bottom	bottom	ADJ
aeasj-347	13	23	50	50	NUM
aeasj-347	13	24	%	%	NOUN
aeasj-347	13	25	,	,	PUNCT
aeasj-347	13	26	60	60	NUM
aeasj-347	13	27	%	%	NOUN
aeasj-347	13	28	,	,	PUNCT
aeasj-347	13	29	and	and	CCONJ
aeasj-347	13	30	70	70	NUM
aeasj-347	13	31	%	%	NOUN
aeasj-347	13	32	of	of	ADP
aeasj-347	13	33	the	the	DET
aeasj-347	13	34	households	household	NOUN
aeasj-347	13	35	;	;	PUNCT
aeasj-347	13	36	the	the	DET
aeasj-347	13	37	robin	robin	PROPN
aeasj-347	13	38	hood	hood	PROPN
aeasj-347	13	39	index	index	PROPN
aeasj-347	13	40	;	;	PUNCT
aeasj-347	13	41	the	the	DET
aeasj-347	13	42	atkinson	atkinson	PROPN
aeasj-347	13	43	index	index	PROPN
aeasj-347	13	44	;	;	PUNCT
aeasj-347	13	45	and	and	CCONJ
aeasj-347	13	46	theil	theil	PROPN
aeasj-347	13	47	's	's	PART
aeasj-347	13	48	entropy	entropy	NOUN
aeasj-347	13	49	measure	measure	NOUN
aeasj-347	13	50	.	.	PUNCT
aeasj-347	14	1	the	the	DET
aeasj-347	14	2	lorenz	lorenz	PROPN
aeasj-347	14	3	curve	curve	NOUN
aeasj-347	14	4	may	may	AUX
aeasj-347	14	5	illustrate	illustrate	VERB
aeasj-347	14	6	the	the	DET
aeasj-347	14	7	degree	degree	NOUN
aeasj-347	14	8	of	of	ADP
aeasj-347	14	9	income	income	NOUN
aeasj-347	14	10	inequality	inequality	NOUN
aeasj-347	14	11	.	.	PUNCT
aeasj-347	15	1	the	the	DET
aeasj-347	15	2	income	income	NOUN
aeasj-347	15	3	inequality	inequality	NOUN
aeasj-347	15	4	shown	show	VERB
aeasj-347	15	5	by	by	ADP
aeasj-347	15	6	a	a	DET
aeasj-347	15	7	lorenz	lorenz	PROPN
aeasj-347	15	8	curve	curve	NOUN
aeasj-347	15	9	can	can	AUX
aeasj-347	15	10	be	be	AUX
aeasj-347	15	11	measured	measure	VERB
aeasj-347	15	12	and	and	CCONJ
aeasj-347	15	13	expressed	express	VERB
aeasj-347	15	14	by	by	ADP
aeasj-347	15	15	the	the	DET
aeasj-347	15	16	gini	gini	PROPN
aeasj-347	15	17	index	index	PROPN
aeasj-347	15	18	.	.	PUNCT
aeasj-347	16	1	the	the	DET
aeasj-347	16	2	gini	gini	PROPN
aeasj-347	16	3	index	index	NOUN
aeasj-347	16	4	is	be	AUX
aeasj-347	16	5	the	the	DET
aeasj-347	16	6	ratio	ratio	NOUN
aeasj-347	16	7	of	of	ADP
aeasj-347	16	8	the	the	DET
aeasj-347	16	9	area	area	NOUN
aeasj-347	16	10	between	between	ADP
aeasj-347	16	11	the	the	DET
aeasj-347	16	12	lorenz	lorenz	PROPN
aeasj-347	16	13	curve	curve	NOUN
aeasj-347	16	14	and	and	CCONJ
aeasj-347	16	15	the	the	DET
aeasj-347	16	16	angle	angle	NOUN
aeasj-347	16	17	bisector	bisector	NOUN
aeasj-347	16	18	45	45	NUM
aeasj-347	16	19	°	°	PROPN
aeasj-347	16	20	line	line	NOUN
aeasj-347	16	21	,	,	PUNCT
aeasj-347	16	22	to	to	ADP
aeasj-347	16	23	the	the	DET
aeasj-347	16	24	total	total	ADJ
aeasj-347	16	25	area	area	NOUN
aeasj-347	16	26	below	below	ADP
aeasj-347	16	27	the	the	DET
aeasj-347	16	28	45	45	NUM
aeasj-347	16	29	°	°	PROPN
aeasj-347	16	30	line	line	NOUN
aeasj-347	16	31	.	.	PUNCT
aeasj-347	17	1	this	this	DET
aeasj-347	17	2	index	index	NOUN
aeasj-347	17	3	expresses	express	VERB
aeasj-347	17	4	the	the	DET
aeasj-347	17	5	distribution	distribution	NOUN
aeasj-347	17	6	inequality	inequality	NOUN
aeasj-347	17	7	just	just	ADV
aeasj-347	17	8	by	by	ADP
aeasj-347	17	9	one	one	NUM
aeasj-347	17	10	figure	figure	NOUN
aeasj-347	17	11	.	.	PUNCT
aeasj-347	18	1	gini	gini	PROPN
aeasj-347	18	2	index	index	NOUN
aeasj-347	18	3	is	be	AUX
aeasj-347	18	4	calculated	calculate	VERB
aeasj-347	18	5	by	by	ADP
aeasj-347	18	6	a	a	DET
aeasj-347	18	7	ratio	ratio	NOUN
aeasj-347	18	8	that	that	PRON
aeasj-347	18	9	its	its	PRON
aeasj-347	18	10	numerator	numerator	NOUN
aeasj-347	18	11	is	be	AUX
aeasj-347	18	12	the	the	DET
aeasj-347	18	13	area	area	NOUN
aeasj-347	18	14	between	between	ADP
aeasj-347	18	15	the	the	DET
aeasj-347	18	16	lorenz	lorenz	PROPN
aeasj-347	18	17	curve	curve	NOUN
aeasj-347	18	18	and	and	CCONJ
aeasj-347	18	19	the	the	DET
aeasj-347	18	20	diagonal	diagonal	ADJ
aeasj-347	18	21	line	line	NOUN
aeasj-347	18	22	,	,	PUNCT
aeasj-347	18	23	and	and	CCONJ
aeasj-347	18	24	the	the	DET
aeasj-347	18	25	denominator	denominator	NOUN
aeasj-347	18	26	is	be	AUX
aeasj-347	18	27	the	the	DET
aeasj-347	18	28	area	area	NOUN
aeasj-347	18	29	under	under	ADP
aeasj-347	18	30	the	the	DET
aeasj-347	18	31	uniform	uniform	ADJ
aeasj-347	18	32	distribution	distribution	NOUN
aeasj-347	18	33	line	line	NOUN
aeasj-347	18	34	.	.	PUNCT
aeasj-347	19	1	this	this	DET
aeasj-347	19	2	ratio	ratio	NOUN
aeasj-347	19	3	is	be	AUX
aeasj-347	19	4	between	between	ADP
aeasj-347	19	5	0	0	NUM
aeasj-347	19	6	and	and	CCONJ
aeasj-347	19	7	1	1	NUM
aeasj-347	19	8	.	.	X
aeasj-347	19	9	kakwani	kakwani	PROPN
aeasj-347	19	10	(	(	PUNCT
aeasj-347	19	11	1980	1980	NUM
aeasj-347	19	12	)	)	PUNCT
aeasj-347	19	13	by	by	ADP
aeasj-347	19	14	some	some	DET
aeasj-347	19	15	recalculation	recalculation	NOUN
aeasj-347	19	16	of	of	ADP
aeasj-347	19	17	the	the	DET
aeasj-347	19	18	gini	gini	PROPN
aeasj-347	19	19	index	index	NOUN
aeasj-347	19	20	measures	measure	VERB
aeasj-347	19	21	the	the	DET
aeasj-347	19	22	length	length	NOUN
aeasj-347	19	23	of	of	ADP
aeasj-347	19	24	the	the	DET
aeasj-347	19	25	lorenz	lorenz	PROPN
aeasj-347	19	26	curve	curve	NOUN
aeasj-347	19	27	as	as	ADP
aeasj-347	19	28	an	an	DET
aeasj-347	19	29	inequality	inequality	NOUN
aeasj-347	19	30	index	index	NOUN
aeasj-347	19	31	.	.	PUNCT
aeasj-347	20	1	the	the	DET
aeasj-347	20	2	robin	robin	PROPN
aeasj-347	20	3	hood	hood	PROPN
aeasj-347	20	4	index	index	NOUN
aeasj-347	20	5	is	be	AUX
aeasj-347	20	6	equivalent	equivalent	ADJ
aeasj-347	20	7	to	to	ADP
aeasj-347	20	8	the	the	DET
aeasj-347	20	9	maximum	maximum	ADJ
aeasj-347	20	10	vertical	vertical	ADJ
aeasj-347	20	11	distance	distance	NOUN
aeasj-347	20	12	between	between	ADP
aeasj-347	20	13	the	the	DET
aeasj-347	20	14	lorenz	lorenz	PROPN
aeasj-347	20	15	curve	curve	NOUN
aeasj-347	20	16	and	and	CCONJ
aeasj-347	20	17	the	the	DET
aeasj-347	20	18	line	line	NOUN
aeasj-347	20	19	of	of	ADP
aeasj-347	20	20	equal	equal	ADJ
aeasj-347	20	21	incomes	income	NOUN
aeasj-347	20	22	.	.	PUNCT
aeasj-347	21	1	the	the	DET
aeasj-347	21	2	atkinson	atkinson	PROPN
aeasj-347	21	3	(	(	PUNCT
aeasj-347	21	4	1970	1970	NUM
aeasj-347	21	5	)	)	PUNCT
aeasj-347	21	6	index	index	NOUN
aeasj-347	21	7	is	be	AUX
aeasj-347	21	8	one	one	NUM
aeasj-347	21	9	of	of	ADP
aeasj-347	21	10	the	the	DET
aeasj-347	21	11	few	few	ADJ
aeasj-347	21	12	inequality	inequality	NOUN
aeasj-347	21	13	measures	measure	NOUN
aeasj-347	21	14	that	that	PRON
aeasj-347	21	15	explicitly	explicitly	ADV
aeasj-347	21	16	incorporate	incorporate	VERB
aeasj-347	21	17	normative	normative	ADJ
aeasj-347	21	18	judgments	judgment	NOUN
aeasj-347	21	19	about	about	ADP
aeasj-347	21	20	social	social	ADJ
aeasj-347	21	21	welfare	welfare	NOUN
aeasj-347	21	22	.	.	PUNCT
aeasj-347	22	1	it	it	PRON
aeasj-347	22	2	is	be	AUX
aeasj-347	22	3	derived	derive	VERB
aeasj-347	22	4	by	by	ADP
aeasj-347	22	5	calculating	calculate	VERB
aeasj-347	22	6	the	the	DET
aeasj-347	22	7	so	so	ADV
aeasj-347	22	8	-	-	PUNCT
aeasj-347	22	9	called	call	VERB
aeasj-347	22	10	equity	equity	NOUN
aeasj-347	22	11	-	-	PUNCT
aeasj-347	22	12	sensitive	sensitive	ADJ
aeasj-347	22	13	average	average	ADJ
aeasj-347	22	14	income	income	NOUN
aeasj-347	22	15	,	,	PUNCT
aeasj-347	22	16	which	which	PRON
aeasj-347	22	17	is	be	AUX
aeasj-347	22	18	defined	define	VERB
aeasj-347	22	19	as	as	ADP
aeasj-347	22	20	that	that	DET
aeasj-347	22	21	level	level	NOUN
aeasj-347	22	22	of	of	ADP
aeasj-347	22	23	per	per	ADP
aeasj-347	22	24	capita	capita	NOUN
aeasj-347	22	25	income	income	NOUN
aeasj-347	22	26	,	,	PUNCT
aeasj-347	22	27	which	which	PRON
aeasj-347	22	28	wether	wether	PROPN
aeasj-347	22	29	enjoyed	enjoy	VERB
aeasj-347	22	30	by	by	ADP
aeasj-347	22	31	everybody	everybody	PRON
aeasj-347	22	32	would	would	AUX
aeasj-347	22	33	make	make	VERB
aeasj-347	22	34	total	total	ADJ
aeasj-347	22	35	welfare	welfare	NOUN
aeasj-347	22	36	precisely	precisely	ADV
aeasj-347	22	37	equal	equal	ADJ
aeasj-347	22	38	to	to	ADP
aeasj-347	22	39	the	the	DET
aeasj-347	22	40	overall	overall	ADJ
aeasj-347	22	41	well	well	ADV
aeasj-347	22	42	-	-	PUNCT
aeasj-347	22	43	being	be	AUX
aeasj-347	22	44	generated	generate	VERB
aeasj-347	22	45	by	by	ADP
aeasj-347	22	46	the	the	DET
aeasj-347	22	47	actual	actual	ADJ
aeasj-347	22	48	income	income	NOUN
aeasj-347	22	49	distribution	distribution	NOUN
aeasj-347	22	50	.	.	PUNCT
aeasj-347	23	1	theil	theil	PROPN
aeasj-347	23	2	(	(	PUNCT
aeasj-347	23	3	1967	1967	NUM
aeasj-347	23	4	)	)	PUNCT
aeasj-347	23	5	entropy	entropy	PROPN
aeasj-347	23	6	measure	measure	NOUN
aeasj-347	23	7	derives	derive	VERB
aeasj-347	23	8	from	from	ADP
aeasj-347	23	9	the	the	DET
aeasj-347	23	10	notion	notion	NOUN
aeasj-347	23	11	of	of	ADP
aeasj-347	23	12	entropy	entropy	NOUN
aeasj-347	23	13	in	in	ADP
aeasj-347	23	14	information	information	NOUN
aeasj-347	23	15	theory	theory	NOUN
aeasj-347	23	16	.	.	PUNCT
aeasj-347	24	1	copyright	copyright	NOUN
aeasj-347	24	2	©	©	PROPN
aeasj-347	24	3	cc	cc	PROPN
aeasj-347	24	4	-	-	PUNCT
aeasj-347	24	5	by	by	ADP
aeasj-347	24	6	-	-	PUNCT
aeasj-347	24	7	nc	nc	PROPN
aeasj-347	24	8	2019	2019	NUM
aeasj-347	24	9	,	,	PUNCT
aeasj-347	24	10	cribfb	cribfb	VERB
aeasj-347	24	11	|	|	ADV
aeasj-347	24	12	aesr	aesr	ADV
aeasj-347	24	13	www.cribfb.com/journal/index.php/aesr	www.cribfb.com/journal/index.php/aesr	VERB
aeasj-347	24	14	american	american	PROPN
aeasj-347	24	15	economic	economic	PROPN
aeasj-347	24	16	&	&	CCONJ
aeasj-347	24	17	social	social	PROPN
aeasj-347	24	18	review	review	PROPN
aeasj-347	24	19	vol	vol	NOUN
aeasj-347	24	20	.	.	PROPN
aeasj-347	25	1	5	5	NUM
aeasj-347	25	2	,	,	PUNCT
aeasj-347	25	3	no	no	INTJ
aeasj-347	25	4	.	.	NOUN
aeasj-347	25	5	2	2	NUM
aeasj-347	25	6	;	;	PUNCT
aeasj-347	25	7	2019	2019	NUM
aeasj-347	25	8	13	13	NUM
aeasj-347	25	9	there	there	PRON
aeasj-347	25	10	is	be	VERB
aeasj-347	25	11	no	no	DET
aeasj-347	25	12	single	single	ADJ
aeasj-347	25	13	"	"	PUNCT
aeasj-347	25	14	best	good	ADJ
aeasj-347	25	15	"	"	PUNCT
aeasj-347	25	16	measure	measure	NOUN
aeasj-347	25	17	of	of	ADP
aeasj-347	25	18	income	income	NOUN
aeasj-347	25	19	inequality	inequality	NOUN
aeasj-347	25	20	.	.	PUNCT
aeasj-347	26	1	some	some	DET
aeasj-347	26	2	measures	measure	NOUN
aeasj-347	26	3	such	such	ADJ
aeasj-347	26	4	as	as	ADP
aeasj-347	26	5	the	the	DET
aeasj-347	26	6	atkinson	atkinson	PROPN
aeasj-347	26	7	index	index	NOUN
aeasj-347	26	8	are	be	AUX
aeasj-347	26	9	more	more	ADV
aeasj-347	26	10	bottom	bottom	ADV
aeasj-347	26	11	-	-	PUNCT
aeasj-347	26	12	sensitive	sensitive	ADJ
aeasj-347	26	13	than	than	SCONJ
aeasj-347	26	14	others	other	NOUN
aeasj-347	26	15	are	be	AUX
aeasj-347	26	16	;	;	PUNCT
aeasj-347	26	17	i.e.	i.e.	X
aeasj-347	26	18	,	,	PUNCT
aeasj-347	26	19	more	more	ADV
aeasj-347	26	20	strongly	strongly	ADV
aeasj-347	26	21	correlated	correlate	VERB
aeasj-347	26	22	with	with	ADP
aeasj-347	26	23	the	the	DET
aeasj-347	26	24	extent	extent	NOUN
aeasj-347	26	25	of	of	ADP
aeasj-347	26	26	poverty	poverty	NOUN
aeasj-347	26	27	.	.	PUNCT
aeasj-347	27	1	the	the	DET
aeasj-347	27	2	measures	measure	NOUN
aeasj-347	27	3	perform	perform	VERB
aeasj-347	27	4	differently	differently	ADV
aeasj-347	27	5	under	under	ADP
aeasj-347	27	6	various	various	ADJ
aeasj-347	27	7	types	type	NOUN
aeasj-347	27	8	of	of	ADP
aeasj-347	27	9	income	income	NOUN
aeasj-347	27	10	transfers	transfer	NOUN
aeasj-347	27	11	.	.	PUNCT
aeasj-347	28	1	for	for	ADP
aeasj-347	28	2	instance	instance	NOUN
aeasj-347	28	3	,	,	PUNCT
aeasj-347	28	4	the	the	DET
aeasj-347	28	5	gini	gini	PROPN
aeasj-347	28	6	index	index	NOUN
aeasj-347	28	7	is	be	AUX
aeasj-347	28	8	much	much	ADV
aeasj-347	28	9	less	less	ADV
aeasj-347	28	10	sensitive	sensitive	ADJ
aeasj-347	28	11	to	to	ADP
aeasj-347	28	12	income	income	NOUN
aeasj-347	28	13	transfers	transfer	NOUN
aeasj-347	28	14	between	between	ADP
aeasj-347	28	15	households	household	NOUN
aeasj-347	28	16	,	,	PUNCT
aeasj-347	28	17	if	if	SCONJ
aeasj-347	28	18	they	they	PRON
aeasj-347	28	19	lie	lie	VERB
aeasj-347	28	20	near	near	ADP
aeasj-347	28	21	the	the	DET
aeasj-347	28	22	middle	middle	NOUN
aeasj-347	28	23	of	of	ADP
aeasj-347	28	24	the	the	DET
aeasj-347	28	25	income	income	NOUN
aeasj-347	28	26	distribution	distribution	NOUN
aeasj-347	28	27	compared	compare	VERB
aeasj-347	28	28	to	to	ADP
aeasj-347	28	29	the	the	DET
aeasj-347	28	30	tails	tail	NOUN
aeasj-347	28	31	.	.	PUNCT
aeasj-347	29	1	the	the	DET
aeasj-347	29	2	robin	robin	PROPN
aeasj-347	29	3	hood	hood	PROPN
aeasj-347	29	4	index	index	NOUN
aeasj-347	29	5	is	be	AUX
aeasj-347	29	6	insensitive	insensitive	ADJ
aeasj-347	29	7	concerning	concern	VERB
aeasj-347	29	8	income	income	NOUN
aeasj-347	29	9	transfers	transfer	NOUN
aeasj-347	29	10	between	between	ADP
aeasj-347	29	11	households	household	NOUN
aeasj-347	29	12	on	on	ADP
aeasj-347	29	13	the	the	DET
aeasj-347	29	14	same	same	ADJ
aeasj-347	29	15	side	side	NOUN
aeasj-347	29	16	of	of	ADP
aeasj-347	29	17	the	the	DET
aeasj-347	29	18	mean	mean	ADJ
aeasj-347	29	19	income	income	NOUN
aeasj-347	29	20	,	,	PUNCT
aeasj-347	29	21	and	and	CCONJ
aeasj-347	29	22	so	so	ADV
aeasj-347	29	23	on	on	ADV
aeasj-347	29	24	.	.	PUNCT
aeasj-347	30	1	while	while	SCONJ
aeasj-347	30	2	there	there	PRON
aeasj-347	30	3	are	be	VERB
aeasj-347	30	4	alternative	alternative	ADJ
aeasj-347	30	5	methods	method	NOUN
aeasj-347	30	6	,	,	PUNCT
aeasj-347	30	7	there	there	PRON
aeasj-347	30	8	is	be	VERB
aeasj-347	30	9	no	no	DET
aeasj-347	30	10	best	good	ADJ
aeasj-347	30	11	way	way	NOUN
aeasj-347	30	12	to	to	PART
aeasj-347	30	13	calculate	calculate	VERB
aeasj-347	30	14	the	the	DET
aeasj-347	30	15	inequality	inequality	NOUN
aeasj-347	30	16	index	index	NOUN
aeasj-347	30	17	,	,	PUNCT
aeasj-347	30	18	mainly	mainly	ADV
aeasj-347	30	19	concentrating	concentrate	VERB
aeasj-347	30	20	on	on	ADP
aeasj-347	30	21	fiscal	fiscal	ADJ
aeasj-347	30	22	view	view	NOUN
aeasj-347	30	23	.	.	PUNCT
aeasj-347	31	1	that	that	PRON
aeasj-347	31	2	is	be	AUX
aeasj-347	31	3	,	,	PUNCT
aeasj-347	31	4	they	they	PRON
aeasj-347	31	5	generally	generally	ADV
aeasj-347	31	6	analyze	analyze	VERB
aeasj-347	31	7	the	the	DET
aeasj-347	31	8	distribution	distribution	NOUN
aeasj-347	31	9	without	without	ADP
aeasj-347	31	10	inferring	infer	VERB
aeasj-347	31	11	about	about	ADP
aeasj-347	31	12	the	the	DET
aeasj-347	31	13	amount	amount	NOUN
aeasj-347	31	14	of	of	ADP
aeasj-347	31	15	fund	fund	NOUN
aeasj-347	31	16	needed	need	VERB
aeasj-347	31	17	to	to	PART
aeasj-347	31	18	correct	correct	VERB
aeasj-347	31	19	income	income	NOUN
aeasj-347	31	20	inequality	inequality	NOUN
aeasj-347	31	21	.	.	PUNCT
aeasj-347	32	1	since	since	SCONJ
aeasj-347	32	2	the	the	DET
aeasj-347	32	3	skewness	skewness	NOUN
aeasj-347	32	4	of	of	ADP
aeasj-347	32	5	income	income	NOUN
aeasj-347	32	6	distribution	distribution	NOUN
aeasj-347	32	7	is	be	AUX
aeasj-347	32	8	persistently	persistently	ADV
aeasj-347	32	9	exhibited	exhibit	VERB
aeasj-347	32	10	for	for	ADP
aeasj-347	32	11	different	different	ADJ
aeasj-347	32	12	statistical	statistical	ADJ
aeasj-347	32	13	populations	population	NOUN
aeasj-347	32	14	,	,	PUNCT
aeasj-347	32	15	the	the	DET
aeasj-347	32	16	lorenz	lorenz	PROPN
aeasj-347	32	17	curve	curve	NOUN
aeasj-347	32	18	becomes	become	VERB
aeasj-347	32	19	a	a	DET
aeasj-347	32	20	method	method	NOUN
aeasj-347	32	21	to	to	PART
aeasj-347	32	22	analyze	analyze	VERB
aeasj-347	32	23	the	the	DET
aeasj-347	32	24	skew	skew	NOUN
aeasj-347	32	25	distributions	distribution	NOUN
aeasj-347	32	26	.	.	PUNCT
aeasj-347	33	1	therefore	therefore	ADV
aeasj-347	33	2	,	,	PUNCT
aeasj-347	33	3	the	the	DET
aeasj-347	33	4	pearsonian	pearsonian	ADJ
aeasj-347	33	5	family	family	NOUN
aeasj-347	33	6	distributions	distribution	NOUN
aeasj-347	33	7	are	be	AUX
aeasj-347	33	8	rival	rival	ADJ
aeasj-347	33	9	functions	function	NOUN
aeasj-347	33	10	to	to	PART
aeasj-347	33	11	explain	explain	VERB
aeasj-347	33	12	income	income	NOUN
aeasj-347	33	13	distribution	distribution	NOUN
aeasj-347	33	14	.	.	PUNCT
aeasj-347	34	1	there	there	PRON
aeasj-347	34	2	is	be	VERB
aeasj-347	34	3	also	also	ADV
aeasj-347	34	4	a	a	DET
aeasj-347	34	5	relation	relation	NOUN
aeasj-347	34	6	between	between	ADP
aeasj-347	34	7	the	the	DET
aeasj-347	34	8	area	area	NOUN
aeasj-347	34	9	under	under	ADP
aeasj-347	34	10	the	the	DET
aeasj-347	34	11	lorenz	lorenz	PROPN
aeasj-347	34	12	curve	curve	NOUN
aeasj-347	34	13	and	and	CCONJ
aeasj-347	34	14	the	the	DET
aeasj-347	34	15	corresponding	corresponding	ADJ
aeasj-347	34	16	probability	probability	NOUN
aeasj-347	34	17	distribution	distribution	NOUN
aeasj-347	34	18	function	function	NOUN
aeasj-347	34	19	(	(	PUNCT
aeasj-347	34	20	see	see	VERB
aeasj-347	34	21	,	,	PUNCT
aeasj-347	34	22	kendall	kendall	PROPN
aeasj-347	34	23	and	and	CCONJ
aeasj-347	34	24	stuart	stuart	PROPN
aeasj-347	34	25	(	(	PUNCT
aeasj-347	34	26	1977	1977	NUM
aeasj-347	34	27	)	)	PUNCT
aeasj-347	34	28	)	)	PUNCT
aeasj-347	34	29	.	.	PUNCT
aeasj-347	35	1	that	that	PRON
aeasj-347	35	2	is	be	AUX
aeasj-347	35	3	,	,	PUNCT
aeasj-347	35	4	when	when	SCONJ
aeasj-347	35	5	the	the	DET
aeasj-347	35	6	probability	probability	NOUN
aeasj-347	35	7	distribution	distribution	NOUN
aeasj-347	35	8	function	function	NOUN
aeasj-347	35	9	is	be	AUX
aeasj-347	35	10	known	know	VERB
aeasj-347	35	11	,	,	PUNCT
aeasj-347	35	12	we	we	PRON
aeasj-347	35	13	may	may	AUX
aeasj-347	35	14	find	find	VERB
aeasj-347	35	15	the	the	DET
aeasj-347	35	16	corresponding	correspond	VERB
aeasj-347	35	17	lorenz	lorenz	PROPN
aeasj-347	35	18	curve	curve	PROPN
aeasj-347	35	19	and	and	CCONJ
aeasj-347	35	20	gini	gini	NOUN
aeasj-347	35	21	index	index	NOUN
aeasj-347	35	22	as	as	ADV
aeasj-347	35	23	well	well	ADV
aeasj-347	35	24	.	.	PUNCT
aeasj-347	36	1	estimation	estimation	NOUN
aeasj-347	36	2	of	of	ADP
aeasj-347	36	3	the	the	DET
aeasj-347	36	4	lorenz	lorenz	PROPN
aeasj-347	36	5	curve	curve	NOUN
aeasj-347	36	6	has	have	VERB
aeasj-347	36	7	some	some	DET
aeasj-347	36	8	difficulties	difficulty	NOUN
aeasj-347	36	9	.	.	PUNCT
aeasj-347	37	1	for	for	ADP
aeasj-347	37	2	this	this	DET
aeasj-347	37	3	estimation	estimation	NOUN
aeasj-347	37	4	,	,	PUNCT
aeasj-347	37	5	we	we	PRON
aeasj-347	37	6	should	should	AUX
aeasj-347	37	7	define	define	VERB
aeasj-347	37	8	an	an	DET
aeasj-347	37	9	appropriate	appropriate	ADJ
aeasj-347	37	10	functional	functional	ADJ
aeasj-347	37	11	form	form	NOUN
aeasj-347	37	12	that	that	PRON
aeasj-347	37	13	can	can	AUX
aeasj-347	37	14	accept	accept	VERB
aeasj-347	37	15	different	different	ADJ
aeasj-347	37	16	curvatures	curvature	NOUN
aeasj-347	37	17	.	.	PUNCT
aeasj-347	38	1	there	there	PRON
aeasj-347	38	2	is	be	VERB
aeasj-347	38	3	another	another	DET
aeasj-347	38	4	problem	problem	NOUN
aeasj-347	38	5	,	,	PUNCT
aeasj-347	38	6	that	that	ADV
aeasj-347	38	7	is	is	ADV
aeasj-347	38	8	,	,	PUNCT
aeasj-347	38	9	to	to	PART
aeasj-347	38	10	create	create	VERB
aeasj-347	38	11	a	a	DET
aeasj-347	38	12	large	large	ADJ
aeasj-347	38	13	-	-	PUNCT
aeasj-347	38	14	size	size	NOUN
aeasj-347	38	15	dataset	dataset	NOUN
aeasj-347	38	16	for	for	ADP
aeasj-347	38	17	estimating	estimate	VERB
aeasj-347	38	18	the	the	DET
aeasj-347	38	19	corresponding	corresponding	ADJ
aeasj-347	38	20	parameters	parameter	NOUN
aeasj-347	38	21	of	of	ADP
aeasj-347	38	22	the	the	DET
aeasj-347	38	23	lorenz	lorenz	PROPN
aeasj-347	38	24	curve	curve	NOUN
aeasj-347	38	25	,	,	PUNCT
aeasj-347	38	26	a	a	DET
aeasj-347	38	27	large	large	ADJ
aeasj-347	38	28	amount	amount	NOUN
aeasj-347	38	29	of	of	ADP
aeasj-347	38	30	computation	computation	NOUN
aeasj-347	38	31	on	on	ADP
aeasj-347	38	32	raw	raw	ADJ
aeasj-347	38	33	sample	sample	NOUN
aeasj-347	38	34	income	income	NOUN
aeasj-347	38	35	data	datum	NOUN
aeasj-347	38	36	is	be	AUX
aeasj-347	38	37	inevitable	inevitable	ADJ
aeasj-347	38	38	.	.	PUNCT
aeasj-347	39	1	these	these	DET
aeasj-347	39	2	problems	problem	NOUN
aeasj-347	39	3	,	,	PUNCT
aeasj-347	39	4	despite	despite	SCONJ
aeasj-347	39	5	their	their	PRON
aeasj-347	39	6	computational	computational	ADJ
aeasj-347	39	7	difficulties	difficulty	NOUN
aeasj-347	39	8	,	,	PUNCT
aeasj-347	39	9	make	make	VERB
aeasj-347	39	10	the	the	DET
aeasj-347	39	11	significance	significance	NOUN
aeasj-347	39	12	of	of	ADP
aeasj-347	39	13	the	the	DET
aeasj-347	39	14	estimated	estimate	VERB
aeasj-347	39	15	parameters	parameter	NOUN
aeasj-347	39	16	weak	weak	ADJ
aeasj-347	39	17	(	(	PUNCT
aeasj-347	39	18	see	see	VERB
aeasj-347	39	19	,	,	PUNCT
aeasj-347	39	20	bidabad	bidabad	VERB
aeasj-347	39	21	and	and	CCONJ
aeasj-347	39	22	bidabad	bidabad	ADJ
aeasj-347	39	23	(	(	PUNCT
aeasj-347	39	24	1989	1989	NUM
aeasj-347	39	25	)	)	PUNCT
aeasj-347	39	26	)	)	PUNCT
aeasj-347	39	27	.	.	PUNCT
aeasj-347	40	1	to	to	PART
aeasj-347	40	2	avoid	avoid	VERB
aeasj-347	40	3	this	this	PRON
aeasj-347	40	4	,	,	PUNCT
aeasj-347	40	5	bidabad	bidabad	ADJ
aeasj-347	40	6	(	(	PUNCT
aeasj-347	40	7	1989a	1989a	NUM
aeasj-347	40	8	,	,	PUNCT
aeasj-347	40	9	b	b	NOUN
aeasj-347	40	10	)	)	PUNCT
aeasj-347	40	11	proposed	propose	VERB
aeasj-347	40	12	the	the	DET
aeasj-347	40	13	estimation	estimation	NOUN
aeasj-347	40	14	of	of	ADP
aeasj-347	40	15	the	the	DET
aeasj-347	40	16	functional	functional	ADJ
aeasj-347	40	17	form	form	NOUN
aeasj-347	40	18	of	of	ADP
aeasj-347	40	19	the	the	DET
aeasj-347	40	20	lorenz	lorenz	PROPN
aeasj-347	40	21	curve	curve	NOUN
aeasj-347	40	22	by	by	ADP
aeasj-347	40	23	defining	define	VERB
aeasj-347	40	24	and	and	CCONJ
aeasj-347	40	25	using	use	VERB
aeasj-347	40	26	continuous	continuous	ADJ
aeasj-347	40	27	l1	l1	PROPN
aeasj-347	40	28	norm	norm	NOUN
aeasj-347	40	29	smoothing	smooth	VERB
aeasj-347	40	30	.	.	PUNCT
aeasj-347	41	1	the	the	DET
aeasj-347	41	2	continuous	continuous	ADJ
aeasj-347	41	3	l1	l1	PROPN
aeasj-347	41	4	norm	norm	NOUN
aeasj-347	41	5	estimation	estimation	NOUN
aeasj-347	41	6	problems	problem	NOUN
aeasj-347	41	7	of	of	ADP
aeasj-347	41	8	linear	linear	PROPN
aeasj-347	41	9	one	one	NUM
aeasj-347	41	10	and	and	CCONJ
aeasj-347	41	11	two	two	NUM
aeasj-347	41	12	parameter	parameter	NOUN
aeasj-347	41	13	models	model	NOUN
aeasj-347	41	14	were	be	AUX
aeasj-347	41	15	solved	solve	VERB
aeasj-347	41	16	by	by	ADP
aeasj-347	41	17	bidabad	bidabad	NOUN
aeasj-347	41	18	(	(	PUNCT
aeasj-347	41	19	1988a	1988a	NUM
aeasj-347	41	20	,	,	PUNCT
aeasj-347	41	21	b	b	NOUN
aeasj-347	41	22	)	)	PUNCT
aeasj-347	41	23	.	.	PUNCT
aeasj-347	42	1	the	the	DET
aeasj-347	42	2	viewpoint	viewpoint	NOUN
aeasj-347	42	3	of	of	ADP
aeasj-347	42	4	this	this	DET
aeasj-347	42	5	paper	paper	NOUN
aeasj-347	42	6	is	be	AUX
aeasj-347	42	7	to	to	PART
aeasj-347	42	8	introduce	introduce	VERB
aeasj-347	42	9	a	a	DET
aeasj-347	42	10	set	set	NOUN
aeasj-347	42	11	of	of	ADP
aeasj-347	42	12	“	"	PUNCT
aeasj-347	42	13	deciles	decile	NOUN
aeasj-347	42	14	implied	imply	VERB
aeasj-347	42	15	inequality	inequality	NOUN
aeasj-347	42	16	indices	index	NOUN
aeasj-347	42	17	”	"	PUNCT
aeasj-347	42	18	,	,	PUNCT
aeasj-347	42	19	which	which	PRON
aeasj-347	42	20	satisfies	satisfy	VERB
aeasj-347	42	21	the	the	DET
aeasj-347	42	22	policy	policy	NOUN
aeasj-347	42	23	implications	implication	NOUN
aeasj-347	42	24	needs	need	VERB
aeasj-347	42	25	.	.	PUNCT
aeasj-347	43	1	these	these	DET
aeasj-347	43	2	indices	index	NOUN
aeasj-347	43	3	can	can	AUX
aeasj-347	43	4	be	be	AUX
aeasj-347	43	5	used	use	VERB
aeasj-347	43	6	for	for	ADP
aeasj-347	43	7	reducing	reduce	VERB
aeasj-347	43	8	the	the	DET
aeasj-347	43	9	degrees	degree	NOUN
aeasj-347	43	10	of	of	ADP
aeasj-347	43	11	inequality	inequality	NOUN
aeasj-347	43	12	.	.	PUNCT
aeasj-347	44	1	we	we	PRON
aeasj-347	44	2	show	show	VERB
aeasj-347	44	3	how	how	SCONJ
aeasj-347	44	4	to	to	PART
aeasj-347	44	5	use	use	VERB
aeasj-347	44	6	lorenz	lorenz	PROPN
aeasj-347	44	7	curve	curve	NOUN
aeasj-347	44	8	to	to	PART
aeasj-347	44	9	measure	measure	VERB
aeasj-347	44	10	the	the	DET
aeasj-347	44	11	distribution	distribution	NOUN
aeasj-347	44	12	of	of	ADP
aeasj-347	44	13	income	income	NOUN
aeasj-347	44	14	and	and	CCONJ
aeasj-347	44	15	to	to	PART
aeasj-347	44	16	calculate	calculate	VERB
aeasj-347	44	17	the	the	DET
aeasj-347	44	18	amount	amount	NOUN
aeasj-347	44	19	of	of	ADP
aeasj-347	44	20	money	money	NOUN
aeasj-347	44	21	needed	need	VERB
aeasj-347	44	22	to	to	PART
aeasj-347	44	23	be	be	AUX
aeasj-347	44	24	levied	levy	VERB
aeasj-347	44	25	on	on	ADP
aeasj-347	44	26	rich	rich	ADJ
aeasj-347	44	27	and	and	CCONJ
aeasj-347	44	28	then	then	ADV
aeasj-347	44	29	transferred	transfer	VERB
aeasj-347	44	30	to	to	ADP
aeasj-347	44	31	the	the	DET
aeasj-347	44	32	poor	poor	ADJ
aeasj-347	44	33	to	to	PART
aeasj-347	44	34	promote	promote	VERB
aeasj-347	44	35	income	income	NOUN
aeasj-347	44	36	distribution	distribution	NOUN
aeasj-347	44	37	of	of	ADP
aeasj-347	44	38	the	the	DET
aeasj-347	44	39	society	society	NOUN
aeasj-347	44	40	.	.	PUNCT
aeasj-347	45	1	however	however	ADV
aeasj-347	45	2	,	,	PUNCT
aeasj-347	45	3	some	some	DET
aeasj-347	45	4	more	more	ADV
aeasj-347	45	5	mathematical	mathematical	ADJ
aeasj-347	45	6	sophistication	sophistication	NOUN
aeasj-347	45	7	to	to	PART
aeasj-347	45	8	estimate	estimate	VERB
aeasj-347	45	9	the	the	DET
aeasj-347	45	10	lorenz	lorenz	PROPN
aeasj-347	45	11	curve	curve	NOUN
aeasj-347	45	12	regarding	regard	VERB
aeasj-347	45	13	“	"	PUNCT
aeasj-347	45	14	implied	imply	VERB
aeasj-347	45	15	inequality	inequality	NOUN
aeasj-347	45	16	index	index	NOUN
aeasj-347	45	17	”	"	PUNCT
aeasj-347	45	18	was	be	AUX
aeasj-347	45	19	given	give	VERB
aeasj-347	45	20	by	by	ADP
aeasj-347	45	21	bidabad	bidabad	NOUN
aeasj-347	45	22	and	and	CCONJ
aeasj-347	45	23	shahrestani	shahrestani	X
aeasj-347	45	24	(	(	PUNCT
aeasj-347	45	25	2008	2008	NUM
aeasj-347	45	26	)	)	PUNCT
aeasj-347	45	27	.	.	PUNCT
aeasj-347	46	1	in	in	ADP
aeasj-347	46	2	that	that	DET
aeasj-347	46	3	paper	paper	NOUN
aeasj-347	46	4	,	,	PUNCT
aeasj-347	46	5	we	we	PRON
aeasj-347	46	6	introduced	introduce	VERB
aeasj-347	46	7	a	a	DET
aeasj-347	46	8	shortcut	shortcut	NOUN
aeasj-347	46	9	to	to	PART
aeasj-347	46	10	use	use	VERB
aeasj-347	46	11	the	the	DET
aeasj-347	46	12	probability	probability	NOUN
aeasj-347	46	13	density	density	NOUN
aeasj-347	46	14	function	function	NOUN
aeasj-347	46	15	of	of	ADP
aeasj-347	46	16	population	population	NOUN
aeasj-347	46	17	income	income	NOUN
aeasj-347	46	18	to	to	PART
aeasj-347	46	19	estimate	estimate	VERB
aeasj-347	46	20	the	the	DET
aeasj-347	46	21	lorenz	lorenz	PROPN
aeasj-347	46	22	function	function	PROPN
aeasj-347	46	23	parameters	parameter	NOUN
aeasj-347	46	24	.	.	PUNCT
aeasj-347	47	1	that	that	PRON
aeasj-347	47	2	is	be	AUX
aeasj-347	47	3	the	the	DET
aeasj-347	47	4	continuous	continuous	ADJ
aeasj-347	47	5	l1	l1	PROPN
aeasj-347	47	6	norm	norm	NOUN
aeasj-347	47	7	smoothing	smooth	VERB
aeasj-347	47	8	method	method	NOUN
aeasj-347	47	9	used	use	VERB
aeasj-347	47	10	to	to	PART
aeasj-347	47	11	estimate	estimate	VERB
aeasj-347	47	12	the	the	DET
aeasj-347	47	13	regression	regression	NOUN
aeasj-347	47	14	parameters	parameter	NOUN
aeasj-347	47	15	of	of	ADP
aeasj-347	47	16	the	the	DET
aeasj-347	47	17	lorenz	lorenz	PROPN
aeasj-347	47	18	curves	curve	NOUN
aeasj-347	47	19	corresponding	correspond	VERB
aeasj-347	47	20	to	to	ADP
aeasj-347	47	21	two	two	NUM
aeasj-347	47	22	different	different	ADJ
aeasj-347	47	23	probability	probability	NOUN
aeasj-347	47	24	density	density	NOUN
aeasj-347	47	25	functions	function	NOUN
aeasj-347	47	26	:	:	PUNCT
aeasj-347	47	27	(	(	PUNCT
aeasj-347	47	28	a	a	X
aeasj-347	47	29	)	)	PUNCT
aeasj-347	47	30	log	log	NOUN
aeasj-347	47	31	-	-	PUNCT
aeasj-347	47	32	normal	normal	ADJ
aeasj-347	47	33	function	function	NOUN
aeasj-347	47	34	that	that	PRON
aeasj-347	47	35	is	be	AUX
aeasj-347	47	36	more	more	ADV
aeasj-347	47	37	suitable	suitable	ADJ
aeasj-347	47	38	for	for	ADP
aeasj-347	47	39	a	a	DET
aeasj-347	47	40	broader	broad	ADJ
aeasj-347	47	41	range	range	NOUN
aeasj-347	47	42	of	of	ADP
aeasj-347	47	43	income	income	NOUN
aeasj-347	47	44	but	but	CCONJ
aeasj-347	47	45	is	be	AUX
aeasj-347	47	46	not	not	PART
aeasj-347	47	47	integrable	integrable	ADJ
aeasj-347	47	48	and	and	CCONJ
aeasj-347	47	49	(	(	PUNCT
aeasj-347	47	50	b	b	NOUN
aeasj-347	47	51	)	)	PUNCT
aeasj-347	47	52	pareto	pareto	ADJ
aeasj-347	47	53	density	density	NOUN
aeasj-347	47	54	distribution	distribution	NOUN
aeasj-347	47	55	function	function	NOUN
aeasj-347	47	56	that	that	PRON
aeasj-347	47	57	is	be	AUX
aeasj-347	47	58	integrable	integrable	ADJ
aeasj-347	47	59	.	.	PUNCT
aeasj-347	48	1	2	2	X
aeasj-347	48	2	.	.	X
aeasj-347	48	3	lorenz	lorenz	PROPN
aeasj-347	48	4	curve	curve	VERB
aeasj-347	48	5	the	the	DET
aeasj-347	48	6	lorenz	lorenz	PROPN
aeasj-347	48	7	curve	curve	NOUN
aeasj-347	48	8	is	be	AUX
aeasj-347	48	9	a	a	DET
aeasj-347	48	10	simple	simple	ADJ
aeasj-347	48	11	case	case	NOUN
aeasj-347	48	12	of	of	ADP
aeasj-347	48	13	the	the	DET
aeasj-347	48	14	concentration	concentration	NOUN
aeasj-347	48	15	surfaces	surface	NOUN
aeasj-347	48	16	in	in	ADP
aeasj-347	48	17	statistics	statistic	NOUN
aeasj-347	48	18	that	that	PRON
aeasj-347	48	19	are	be	AUX
aeasj-347	48	20	used	use	VERB
aeasj-347	48	21	to	to	PART
aeasj-347	48	22	show	show	VERB
aeasj-347	48	23	the	the	DET
aeasj-347	48	24	shape	shape	NOUN
aeasj-347	48	25	and	and	CCONJ
aeasj-347	48	26	distribution	distribution	NOUN
aeasj-347	48	27	of	of	ADP
aeasj-347	48	28	inequality	inequality	NOUN
aeasj-347	48	29	in	in	ADP
aeasj-347	48	30	data	datum	NOUN
aeasj-347	48	31	.	.	PUNCT
aeasj-347	49	1	in	in	ADP
aeasj-347	49	2	other	other	ADJ
aeasj-347	49	3	words	word	NOUN
aeasj-347	49	4	,	,	PUNCT
aeasj-347	49	5	the	the	DET
aeasj-347	49	6	lorenz	lorenz	PROPN
aeasj-347	49	7	curve	curve	NOUN
aeasj-347	49	8	is	be	AUX
aeasj-347	49	9	a	a	DET
aeasj-347	49	10	representation	representation	NOUN
aeasj-347	49	11	of	of	ADP
aeasj-347	49	12	the	the	DET
aeasj-347	49	13	cumulative	cumulative	ADJ
aeasj-347	49	14	income	income	NOUN
aeasj-347	49	15	distribution	distribution	NOUN
aeasj-347	49	16	function	function	NOUN
aeasj-347	49	17	.	.	PUNCT
aeasj-347	50	1	it	it	PRON
aeasj-347	50	2	explains	explain	VERB
aeasj-347	50	3	what	what	DET
aeasj-347	50	4	portion	portion	NOUN
aeasj-347	50	5	of	of	ADP
aeasj-347	50	6	the	the	DET
aeasj-347	50	7	total	total	ADJ
aeasj-347	50	8	income	income	NOUN
aeasj-347	50	9	is	be	AUX
aeasj-347	50	10	received	receive	VERB
aeasj-347	50	11	by	by	ADP
aeasj-347	50	12	the	the	DET
aeasj-347	50	13	bottom	bottom	ADJ
aeasj-347	50	14	percentages	percentage	NOUN
aeasj-347	50	15	of	of	ADP
aeasj-347	50	16	the	the	DET
aeasj-347	50	17	households	household	NOUN
aeasj-347	50	18	.	.	PUNCT
aeasj-347	51	1	the	the	DET
aeasj-347	51	2	lorenz	lorenz	PROPN
aeasj-347	51	3	curve	curve	NOUN
aeasj-347	51	4	for	for	ADP
aeasj-347	51	5	a	a	DET
aeasj-347	51	6	random	random	ADJ
aeasj-347	51	7	variable	variable	NOUN
aeasj-347	51	8	with	with	ADP
aeasj-347	51	9	probability	probability	NOUN
aeasj-347	51	10	density	density	NOUN
aeasj-347	51	11	function	function	NOUN
aeasj-347	51	12	f(v	f(v	NOUN
aeasj-347	51	13	)	)	PUNCT
aeasj-347	51	14	may	may	AUX
aeasj-347	51	15	be	be	AUX
aeasj-347	51	16	defined	define	VERB
aeasj-347	51	17	as	as	ADP
aeasj-347	51	18	an	an	DET
aeasj-347	51	19	ordered	ordered	ADJ
aeasj-347	51	20	pair	pair	NOUN
aeasj-347	51	21	.	.	PUNCT
aeasj-347	51	22	)	)	PUNCT
aeasj-347	51	23	)	)	PUNCT
aeasj-347	52	1	(	(	PUNCT
aeasj-347	52	2	)	)	PUNCT
aeasj-347	52	3	(	(	PUNCT
aeasj-347	52	4	)	)	PUNCT
aeasj-347	52	5	,	,	PUNCT
aeasj-347	52	6	(	(	PUNCT
aeasj-347	52	7	(	(	PUNCT
aeasj-347	52	8	ve	ve	AUX
aeasj-347	52	9	vvve	vvve	AUX
aeasj-347	52	10	vvvp	vvvp	VERB
aeasj-347	52	11			NOUN
aeasj-347	52	12			NOUN
aeasj-347	52	13	rv	rv	NOUN
aeasj-347	52	14	(	(	PUNCT
aeasj-347	52	15	1	1	X
aeasj-347	52	16	)	)	PUNCT
aeasj-347	52	17	for	for	ADP
aeasj-347	52	18	a	a	DET
aeasj-347	52	19	continuous	continuous	ADJ
aeasj-347	52	20	density	density	NOUN
aeasj-347	52	21	function	function	NOUN
aeasj-347	52	22	f(v	f(v	NOUN
aeasj-347	52	23	)	)	PUNCT
aeasj-347	52	24	,	,	PUNCT
aeasj-347	52	25	(	(	PUNCT
aeasj-347	52	26	30	30	NUM
aeasj-347	52	27	)	)	PUNCT
aeasj-347	52	28	can	can	AUX
aeasj-347	52	29	be	be	AUX
aeasj-347	52	30	written	write	VERB
aeasj-347	52	31	as	as	ADP
aeasj-347	52	32	,	,	PUNCT
aeasj-347	52	33	)	)	PUNCT
aeasj-347	52	34	)	)	PUNCT
aeasj-347	52	35	)	)	PUNCT
aeasj-347	52	36	(	(	PUNCT
aeasj-347	52	37	(	(	PUNCT
aeasj-347	52	38	)	)	PUNCT
aeasj-347	52	39	,	,	PUNCT
aeasj-347	52	40	(	(	PUNCT
aeasj-347	52	41	(	(	PUNCT
aeasj-347	52	42	)	)	PUNCT
aeasj-347	52	43	)	)	PUNCT
aeasj-347	52	44	(	(	PUNCT
aeasj-347	52	45	)	)	PUNCT
aeasj-347	52	46	(	(	PUNCT
aeasj-347	52	47	,	,	PUNCT
aeasj-347	52	48	)	)	PUNCT
aeasj-347	52	49	(	(	PUNCT
aeasj-347	52	50	(	(	PUNCT
aeasj-347	52	51	vxyvx	vxyvx	NOUN
aeasj-347	52	52	dwwwf	dwwwf	PROPN
aeasj-347	52	53	dwwwf	dwwwf	PROPN
aeasj-347	52	54	dwwf	dwwf	PROPN
aeasj-347	52	55	v	v	ADP
aeasj-347	52	56	v	v	NOUN
aeasj-347	52	57			NOUN
aeasj-347	52	58			X
aeasj-347	52	59			X
aeasj-347	52	60			PROPN
aeasj-347	53	1			PROPN
aeasj-347	53	2			PROPN
aeasj-347	53	3			NOUN
aeasj-347	54	1			PROPN
aeasj-347	54	2	(	(	PUNCT
aeasj-347	54	3	2	2	X
aeasj-347	54	4	)	)	PUNCT
aeasj-347	54	5	taguchi	taguchi	PROPN
aeasj-347	54	6	(	(	PUNCT
aeasj-347	54	7	1972a	1972a	NUM
aeasj-347	54	8	,	,	PUNCT
aeasj-347	54	9	b	b	NOUN
aeasj-347	54	10	,	,	PUNCT
aeasj-347	54	11	c,73,81,83,87,88	c,73,81,83,87,88	NOUN
aeasj-347	54	12	)	)	PUNCT
aeasj-347	54	13	multiplies	multiply	VERB
aeasj-347	54	14	the	the	DET
aeasj-347	54	15	second	second	ADJ
aeasj-347	54	16	element	element	NOUN
aeasj-347	54	17	of	of	ADP
aeasj-347	54	18	(	(	PUNCT
aeasj-347	54	19	1	1	NUM
aeasj-347	54	20	)	)	PUNCT
aeasj-347	54	21	by	by	ADP
aeasj-347	54	22	p(v|v≤v	p(v|v≤v	NOUN
aeasj-347	54	23	)	)	PUNCT
aeasj-347	54	24	which	which	PRON
aeasj-347	54	25	is	be	AUX
aeasj-347	54	26	not	not	PART
aeasj-347	54	27	correct	correct	ADJ
aeasj-347	54	28	;	;	PUNCT
aeasj-347	54	29	his	his	PRON
aeasj-347	54	30	definition	definition	NOUN
aeasj-347	54	31	of	of	ADP
aeasj-347	54	32	(	(	PUNCT
aeasj-347	54	33	2	2	X
aeasj-347	54	34	)	)	PUNCT
aeasj-347	54	35	is	be	AUX
aeasj-347	54	36	equivalent	equivalent	ADJ
aeasj-347	54	37	to	to	ADP
aeasj-347	54	38	ours	ours	PRON
aeasj-347	54	39	.	.	PUNCT
aeasj-347	55	1	we	we	PRON
aeasj-347	55	2	denote	denote	VERB
aeasj-347	55	3	(	(	PUNCT
aeasj-347	55	4	2	2	NUM
aeasj-347	55	5	)	)	PUNCT
aeasj-347	55	6	by	by	ADP
aeasj-347	55	7	ordered	order	VERB
aeasj-347	55	8	pair	pair	NOUN
aeasj-347	55	9	(	(	PUNCT
aeasj-347	55	10	x(v),y(x(v	x(v),y(x(v	NUM
aeasj-347	55	11	)	)	PUNCT
aeasj-347	55	12	)	)	PUNCT
aeasj-347	55	13	)	)	PUNCT
aeasj-347	55	14	where	where	SCONJ
aeasj-347	55	15	x(v	x(v	NOUN
aeasj-347	55	16	)	)	PUNCT
aeasj-347	55	17	and	and	CCONJ
aeasj-347	55	18	y(x(v	y(x(v	NOUN
aeasj-347	55	19	)	)	PUNCT
aeasj-347	55	20	)	)	PUNCT
aeasj-347	55	21	are	be	AUX
aeasj-347	55	22	its	its	PRON
aeasj-347	55	23	elements	element	NOUN
aeasj-347	55	24	.	.	PUNCT
aeasj-347	56	1	"	"	PUNCT
aeasj-347	56	2	x	x	X
aeasj-347	56	3	"	"	PUNCT
aeasj-347	56	4	is	be	AUX
aeasj-347	56	5	a	a	DET
aeasj-347	56	6	function	function	NOUN
aeasj-347	56	7	which	which	PRON
aeasj-347	56	8	maps	map	VERB
aeasj-347	56	9	"	"	PUNCT
aeasj-347	56	10	v	v	NOUN
aeasj-347	56	11	"	"	PUNCT
aeasj-347	56	12	to	to	ADP
aeasj-347	56	13	x(v	x(v	NUM
aeasj-347	56	14	)	)	PUNCT
aeasj-347	56	15	and	and	CCONJ
aeasj-347	56	16	"	"	PUNCT
aeasj-347	56	17	y	y	NOUN
aeasj-347	56	18	"	"	PUNCT
aeasj-347	56	19	is	be	AUX
aeasj-347	56	20	a	a	DET
aeasj-347	56	21	function	function	NOUN
aeasj-347	56	22	which	which	PRON
aeasj-347	56	23	maps	map	VERB
aeasj-347	56	24	x(v	x(v	PROPN
aeasj-347	56	25	)	)	PUNCT
aeasj-347	56	26	to	to	ADP
aeasj-347	56	27	y(x(v	y(x(v	NOUN
aeasj-347	56	28	)	)	PUNCT
aeasj-347	56	29	)	)	PUNCT
aeasj-347	56	30	.	.	PUNCT
aeasj-347	57	1	the	the	DET
aeasj-347	57	2	function	function	NOUN
aeasj-347	57	3	y(x(v	y(x(v	NOUN
aeasj-347	57	4	)	)	PUNCT
aeasj-347	57	5	)	)	PUNCT
aeasj-347	57	6	is	be	AUX
aeasj-347	57	7	simply	simply	ADV
aeasj-347	57	8	the	the	DET
aeasj-347	57	9	lorenz	lorenz	PROPN
aeasj-347	57	10	curve	curve	PROPN
aeasj-347	57	11	function	function	PROPN
aeasj-347	57	12	.	.	PUNCT
aeasj-347	58	1	we	we	PRON
aeasj-347	58	2	may	may	AUX
aeasj-347	58	3	use	use	VERB
aeasj-347	58	4	the	the	DET
aeasj-347	58	5	form	form	NOUN
aeasj-347	58	6	introduced	introduce	VERB
aeasj-347	58	7	by	by	ADP
aeasj-347	58	8	gupta	gupta	PROPN
aeasj-347	58	9	(	(	PUNCT
aeasj-347	58	10	1984	1984	NUM
aeasj-347	58	11	)	)	PUNCT
aeasj-347	58	12	and	and	CCONJ
aeasj-347	58	13	a	a	DET
aeasj-347	58	14	modified	modify	VERB
aeasj-347	58	15	version	version	NOUN
aeasj-347	58	16	of	of	ADP
aeasj-347	58	17	bidabad	bidabad	NOUN
aeasj-347	58	18	and	and	CCONJ
aeasj-347	58	19	bidabad	bidabad	ADJ
aeasj-347	58	20	(	(	PUNCT
aeasj-347	58	21	1989	1989	NUM
aeasj-347	58	22	)	)	PUNCT
aeasj-347	58	23	,	,	PUNCT
aeasj-347	58	24	which	which	PRON
aeasj-347	58	25	benefits	benefit	VERB
aeasj-347	58	26	from	from	ADP
aeasj-347	58	27	certain	certain	ADJ
aeasj-347	58	28	properties	property	NOUN
aeasj-347	58	29	as	as	ADP
aeasj-347	58	30	the	the	DET
aeasj-347	58	31	explicit	explicit	ADJ
aeasj-347	58	32	function	function	NOUN
aeasj-347	58	33	of	of	ADP
aeasj-347	58	34	the	the	DET
aeasj-347	58	35	lorenz	lorenz	PROPN
aeasj-347	58	36	curve	curve	NOUN
aeasj-347	58	37	.	.	PUNCT
aeasj-347	59	1	copyright	copyright	NOUN
aeasj-347	59	2	©	©	PROPN
aeasj-347	59	3	cc	cc	PROPN
aeasj-347	59	4	-	-	PUNCT
aeasj-347	59	5	by	by	ADP
aeasj-347	59	6	-	-	PUNCT
aeasj-347	59	7	nc	nc	PROPN
aeasj-347	59	8	2019	2019	NUM
aeasj-347	59	9	,	,	PUNCT
aeasj-347	59	10	cribfb	cribfb	VERB
aeasj-347	59	11	|	|	ADV
aeasj-347	59	12	aesr	aesr	ADV
aeasj-347	59	13	www.cribfb.com/journal/index.php/aesr	www.cribfb.com/journal/index.php/aesr	VERB
aeasj-347	59	14	american	american	PROPN
aeasj-347	59	15	economic	economic	PROPN
aeasj-347	59	16	&	&	CCONJ
aeasj-347	59	17	social	social	PROPN
aeasj-347	59	18	review	review	PROPN
aeasj-347	59	19	vol	vol	NOUN
aeasj-347	59	20	.	.	PROPN
aeasj-347	60	1	5	5	NUM
aeasj-347	60	2	,	,	PUNCT
aeasj-347	60	3	no	no	INTJ
aeasj-347	60	4	.	.	NOUN
aeasj-347	60	5	2	2	NUM
aeasj-347	60	6	;	;	PUNCT
aeasj-347	60	7	2019	2019	NUM
aeasj-347	60	8	14	14	NUM
aeasj-347	60	9	gupta	gupta	NOUN
aeasj-347	60	10	(	(	PUNCT
aeasj-347	60	11	1984	1984	NUM
aeasj-347	60	12	)	)	PUNCT
aeasj-347	60	13	proposed	propose	VERB
aeasj-347	60	14	the	the	DET
aeasj-347	60	15	functional	functional	ADJ
aeasj-347	60	16	form	form	NOUN
aeasj-347	60	17	,	,	PUNCT
aeasj-347	60	18	y=	y=	PRON
aeasj-347	60	19	xax-1	xax-1	PUNCT
aeasj-347	60	20	a>1	a>1	VERB
aeasj-347	60	21	(	(	PUNCT
aeasj-347	60	22	3	3	NUM
aeasj-347	60	23	)	)	PUNCT
aeasj-347	60	24	the	the	DET
aeasj-347	60	25	modified	modify	VERB
aeasj-347	60	26	version	version	NOUN
aeasj-347	60	27	of	of	ADP
aeasj-347	60	28	bidabad	bidabad	NOUN
aeasj-347	60	29	and	and	CCONJ
aeasj-347	60	30	bidabad	bidabad	ADJ
aeasj-347	60	31	(	(	PUNCT
aeasj-347	60	32	1989	1989	NUM
aeasj-347	60	33	)	)	PUNCT
aeasj-347	60	34	suggests	suggest	VERB
aeasj-347	60	35	the	the	DET
aeasj-347	60	36	following	follow	VERB
aeasj-347	60	37	functional	functional	ADJ
aeasj-347	60	38	form	form	NOUN
aeasj-347	60	39	:	:	PUNCT
aeasj-347	60	40	y=	y=	X
aeasj-347	60	41	xbax-1	xbax-1	PUNCT
aeasj-347	61	1	b≥	b≥	PROPN
aeasj-347	61	2	1	1	NUM
aeasj-347	61	3	,	,	PUNCT
aeasj-347	61	4	a≥	a≥	PROPN
aeasj-347	61	5	1	1	NUM
aeasj-347	61	6	(	(	PUNCT
aeasj-347	61	7	4	4	NUM
aeasj-347	61	8	)	)	PUNCT
aeasj-347	61	9	to	to	PART
aeasj-347	61	10	estimate	estimate	VERB
aeasj-347	61	11	the	the	DET
aeasj-347	61	12	above	above	ADJ
aeasj-347	61	13	functions	function	NOUN
aeasj-347	61	14	we	we	PRON
aeasj-347	61	15	need	need	VERB
aeasj-347	61	16	discrete	discrete	ADJ
aeasj-347	61	17	data	datum	NOUN
aeasj-347	61	18	from	from	ADP
aeasj-347	61	19	the	the	DET
aeasj-347	61	20	population	population	NOUN
aeasj-347	61	21	,	,	PUNCT
aeasj-347	61	22	to	to	PART
aeasj-347	61	23	construct	construct	VERB
aeasj-347	61	24	relevant	relevant	ADJ
aeasj-347	61	25	x	x	NOUN
aeasj-347	61	26	and	and	CCONJ
aeasj-347	61	27	y	y	PROPN
aeasj-347	61	28	vectors	vector	NOUN
aeasj-347	61	29	to	to	PART
aeasj-347	61	30	estimate	estimate	VERB
aeasj-347	61	31	"	"	PUNCT
aeasj-347	61	32	a	a	PRON
aeasj-347	61	33	"	"	PUNCT
aeasj-347	61	34	of	of	ADP
aeasj-347	61	35	(	(	PUNCT
aeasj-347	61	36	3	3	NUM
aeasj-347	61	37	)	)	PUNCT
aeasj-347	61	38	or	or	CCONJ
aeasj-347	61	39	"	"	PUNCT
aeasj-347	61	40	a	a	PRON
aeasj-347	61	41	"	"	PUNCT
aeasj-347	61	42	and	and	CCONJ
aeasj-347	61	43	"	"	PUNCT
aeasj-347	61	44	b	b	NOUN
aeasj-347	61	45	"	"	PUNCT
aeasj-347	61	46	of	of	ADP
aeasj-347	61	47	(	(	PUNCT
aeasj-347	61	48	4	4	NUM
aeasj-347	61	49	)	)	PUNCT
aeasj-347	61	50	.	.	PUNCT
aeasj-347	62	1	3	3	X
aeasj-347	62	2	.	.	NUM
aeasj-347	62	3	implied	imply	VERB
aeasj-347	62	4	-	-	PUNCT
aeasj-347	62	5	inequality	inequality	NOUN
aeasj-347	62	6	-	-	PUNCT
aeasj-347	62	7	index	index	NOUN
aeasj-347	62	8	most	most	ADJ
aeasj-347	62	9	inequality	inequality	NOUN
aeasj-347	62	10	indices	index	NOUN
aeasj-347	62	11	are	be	AUX
aeasj-347	62	12	concentrated	concentrate	VERB
aeasj-347	62	13	on	on	ADP
aeasj-347	62	14	the	the	DET
aeasj-347	62	15	statistical	statistical	ADJ
aeasj-347	62	16	aspect	aspect	NOUN
aeasj-347	62	17	of	of	ADP
aeasj-347	62	18	the	the	DET
aeasj-347	62	19	income	income	NOUN
aeasj-347	62	20	distribution	distribution	NOUN
aeasj-347	62	21	.	.	PUNCT
aeasj-347	63	1	that	that	PRON
aeasj-347	63	2	is	be	AUX
aeasj-347	63	3	,	,	PUNCT
aeasj-347	63	4	they	they	PRON
aeasj-347	63	5	generally	generally	ADV
aeasj-347	63	6	analyze	analyze	VERB
aeasj-347	63	7	the	the	DET
aeasj-347	63	8	distribution	distribution	NOUN
aeasj-347	63	9	without	without	ADP
aeasj-347	63	10	inferring	infer	VERB
aeasj-347	63	11	about	about	ADP
aeasj-347	63	12	the	the	DET
aeasj-347	63	13	amount	amount	NOUN
aeasj-347	63	14	of	of	ADP
aeasj-347	63	15	fund	fund	NOUN
aeasj-347	63	16	needed	need	VERB
aeasj-347	63	17	to	to	PART
aeasj-347	63	18	correct	correct	VERB
aeasj-347	63	19	income	income	NOUN
aeasj-347	63	20	inequality	inequality	NOUN
aeasj-347	63	21	.	.	PUNCT
aeasj-347	64	1	in	in	ADP
aeasj-347	64	2	this	this	DET
aeasj-347	64	3	section	section	NOUN
aeasj-347	64	4	,	,	PUNCT
aeasj-347	64	5	we	we	PRON
aeasj-347	64	6	will	will	AUX
aeasj-347	64	7	introduce	introduce	VERB
aeasj-347	64	8	an	an	DET
aeasj-347	64	9	inequality	inequality	NOUN
aeasj-347	64	10	index	index	NOUN
aeasj-347	64	11	,	,	PUNCT
aeasj-347	64	12	which	which	PRON
aeasj-347	64	13	shows	show	VERB
aeasj-347	64	14	how	how	SCONJ
aeasj-347	64	15	much	much	ADJ
aeasj-347	64	16	money	money	NOUN
aeasj-347	64	17	should	should	AUX
aeasj-347	64	18	be	be	AUX
aeasj-347	64	19	transferred	transfer	VERB
aeasj-347	64	20	from	from	ADP
aeasj-347	64	21	the	the	DET
aeasj-347	64	22	upperincome	upperincome	NOUN
aeasj-347	64	23	group	group	NOUN
aeasj-347	64	24	to	to	ADP
aeasj-347	64	25	the	the	DET
aeasj-347	64	26	lower	low	ADJ
aeasj-347	64	27	group	group	NOUN
aeasj-347	64	28	to	to	PART
aeasj-347	64	29	achieve	achieve	VERB
aeasj-347	64	30	the	the	DET
aeasj-347	64	31	desired	desire	VERB
aeasj-347	64	32	distribution	distribution	NOUN
aeasj-347	64	33	of	of	ADP
aeasj-347	64	34	income	income	NOUN
aeasj-347	64	35	.	.	PUNCT
aeasj-347	65	1	bidabad	bidabad	PROPN
aeasj-347	65	2	and	and	CCONJ
aeasj-347	65	3	shahrestani	shahrestani	X
aeasj-347	65	4	(	(	PUNCT
aeasj-347	65	5	2010	2010	NUM
aeasj-347	65	6	)	)	PUNCT
aeasj-347	65	7	introduced	introduce	VERB
aeasj-347	65	8	an	an	DET
aeasj-347	65	9	implied	imply	VERB
aeasj-347	65	10	inequality	inequality	NOUN
aeasj-347	65	11	index	index	NOUN
aeasj-347	65	12	using	use	VERB
aeasj-347	65	13	l1	l1	PROPN
aeasj-347	65	14	norm	norm	NOUN
aeasj-347	65	15	estimation	estimation	NOUN
aeasj-347	65	16	of	of	ADP
aeasj-347	65	17	the	the	DET
aeasj-347	65	18	lorenz	lorenz	PROPN
aeasj-347	65	19	curve	curve	NOUN
aeasj-347	65	20	.	.	PUNCT
aeasj-347	66	1	here	here	ADV
aeasj-347	66	2	we	we	PRON
aeasj-347	66	3	extend	extend	VERB
aeasj-347	66	4	this	this	DET
aeasj-347	66	5	index	index	NOUN
aeasj-347	66	6	to	to	PART
aeasj-347	66	7	be	be	AUX
aeasj-347	66	8	more	more	ADV
aeasj-347	66	9	qualified	qualified	ADJ
aeasj-347	66	10	for	for	ADP
aeasj-347	66	11	income	income	NOUN
aeasj-347	66	12	redistribution	redistribution	NOUN
aeasj-347	66	13	policies	policy	NOUN
aeasj-347	66	14	and	and	CCONJ
aeasj-347	66	15	implications	implication	NOUN
aeasj-347	66	16	.	.	PUNCT
aeasj-347	67	1	suppose	suppose	VERB
aeasj-347	67	2	there	there	PRON
aeasj-347	67	3	is	be	VERB
aeasj-347	67	4	a	a	DET
aeasj-347	67	5	personal	personal	ADJ
aeasj-347	67	6	income	income	NOUN
aeasj-347	67	7	υ	υ	NOUN
aeasj-347	67	8	at	at	ADP
aeasj-347	67	9	which	which	PRON
aeasj-347	67	10	,	,	PUNCT
aeasj-347	67	11	the	the	DET
aeasj-347	67	12	half	half	NOUN
aeasj-347	67	13	of	of	ADP
aeasj-347	67	14	the	the	DET
aeasj-347	67	15	total	total	ADJ
aeasj-347	67	16	income	income	NOUN
aeasj-347	67	17	of	of	ADP
aeasj-347	67	18	the	the	DET
aeasj-347	67	19	population	population	NOUN
aeasj-347	67	20	belongs	belong	VERB
aeasj-347	67	21	to	to	ADP
aeasj-347	67	22	those	those	PRON
aeasj-347	67	23	who	who	PRON
aeasj-347	67	24	have	have	VERB
aeasj-347	67	25	less	less	ADJ
aeasj-347	67	26	than	than	ADP
aeasj-347	67	27	υ	υ	PROPN
aeasj-347	67	28	,	,	PUNCT
aeasj-347	67	29	and	and	CCONJ
aeasj-347	67	30	the	the	DET
aeasj-347	67	31	other	other	ADJ
aeasj-347	67	32	half	half	NOUN
aeasj-347	67	33	of	of	ADP
aeasj-347	67	34	the	the	DET
aeasj-347	67	35	income	income	NOUN
aeasj-347	67	36	belongs	belong	VERB
aeasj-347	67	37	to	to	ADP
aeasj-347	67	38	those	those	PRON
aeasj-347	67	39	who	who	PRON
aeasj-347	67	40	have	have	VERB
aeasj-347	67	41	a	a	DET
aeasj-347	67	42	higher	high	ADJ
aeasj-347	67	43	income	income	NOUN
aeasj-347	67	44	than	than	ADP
aeasj-347	67	45	υ	υ	PROPN
aeasj-347	67	46	.	.	PUNCT
aeasj-347	68	1	that	that	PRON
aeasj-347	68	2	is	be	AUX
aeasj-347	68	3	:	:	PUNCT
aeasj-347	68	4			ADV
aeasj-347	68	5			X
aeasj-347	68	6			PROPN
aeasj-347	68	7			NUM
aeasj-347	68	8	v	v	NOUN
aeasj-347	68	9	v	v	NOUN
aeasj-347	68	10	dwwwfdwwwf	dwwwfdwwwf	NOUN
aeasj-347	68	11	)	)	PUNCT
aeasj-347	68	12	(	(	PUNCT
aeasj-347	68	13	)	)	PUNCT
aeasj-347	68	14	(	(	PUNCT
aeasj-347	68	15	(	(	PUNCT
aeasj-347	68	16	5	5	NUM
aeasj-347	68	17	)	)	PUNCT
aeasj-347	68	18	by	by	ADP
aeasj-347	68	19	definition	definition	NOUN
aeasj-347	68	20	,	,	PUNCT
aeasj-347	68	21	we	we	PRON
aeasj-347	68	22	have	have	VERB
aeasj-347	68	23	:	:	PUNCT
aeasj-347	68	24			PROPN
aeasj-347	68	25			ADJ
aeasj-347	68	26			NOUN
aeasj-347	68	27			ADJ
aeasj-347	68	28			PROPN
aeasj-347	68	29			NUM
aeasj-347	68	30	v	v	NOUN
aeasj-347	68	31	v	v	NOUN
aeasj-347	68	32	wwfdwwwfdwwwf	wwfdwwwfdwwwf	NOUN
aeasj-347	68	33	)	)	PUNCT
aeasj-347	68	34	(	(	PUNCT
aeasj-347	68	35	)	)	PUNCT
aeasj-347	68	36	(	(	PUNCT
aeasj-347	68	37	)	)	PUNCT
aeasj-347	68	38	(	(	PUNCT
aeasj-347	68	39			NOUN
aeasj-347	68	40	(	(	PUNCT
aeasj-347	68	41	6	6	NUM
aeasj-347	68	42	)	)	PUNCT
aeasj-347	68	43	that	that	PRON
aeasj-347	68	44	is	be	AUX
aeasj-347	68	45	:	:	PUNCT
aeasj-347	68	46	2	2	NUM
aeasj-347	68	47	)	)	PUNCT
aeasj-347	68	48	(	(	PUNCT
aeasj-347	68	49			X
aeasj-347	68	50			NOUN
aeasj-347	68	51	v	v	ADP
aeasj-347	68	52	dwwwf	dwwwf	PROPN
aeasj-347	68	53	(	(	PUNCT
aeasj-347	68	54	7	7	NUM
aeasj-347	68	55	)	)	PUNCT
aeasj-347	68	56	on	on	ADP
aeasj-347	68	57	the	the	DET
aeasj-347	68	58	other	other	ADJ
aeasj-347	68	59	hand	hand	NOUN
aeasj-347	68	60	:	:	PUNCT
aeasj-347	68	61	21	21	NUM
aeasj-347	68	62	)	)	PUNCT
aeasj-347	68	63	(	(	PUNCT
aeasj-347	68	64	)	)	PUNCT
aeasj-347	68	65	(	(	PUNCT
aeasj-347	68	66			NUM
aeasj-347	68	67			NOUN
aeasj-347	68	68			PUNCT
aeasj-347	69	1			PROPN
aeasj-347	69	2			PROPN
aeasj-347	69	3			NOUN
aeasj-347	69	4	dwwwf	dwwwf	PROPN
aeasj-347	69	5	dwwwf	dwwwf	PROPN
aeasj-347	69	6	v	v	PROPN
aeasj-347	69	7	(	(	PUNCT
aeasj-347	69	8	8)	8)	NUM
aeasj-347	69	9	according	accord	VERB
aeasj-347	69	10	to	to	ADP
aeasj-347	69	11	(	(	PUNCT
aeasj-347	69	12	2	2	X
aeasj-347	69	13	)	)	PUNCT
aeasj-347	69	14	this	this	PRON
aeasj-347	69	15	is	be	AUX
aeasj-347	69	16	a	a	DET
aeasj-347	69	17	point	point	NOUN
aeasj-347	69	18	on	on	ADP
aeasj-347	69	19	the	the	DET
aeasj-347	69	20	lorenz	lorenz	PROPN
aeasj-347	69	21	curve	curve	NOUN
aeasj-347	69	22	with	with	ADP
aeasj-347	69	23	the	the	DET
aeasj-347	69	24	following	following	ADJ
aeasj-347	69	25	ordered	order	VERB
aeasj-347	69	26	pair	pair	NOUN
aeasj-347	69	27	:	:	PUNCT
aeasj-347	69	28	)	)	PUNCT
aeasj-347	69	29	21,)((	21,)((	NUM
aeasj-347	69	30			NOUN
aeasj-347	69	31	v	v	ADP
aeasj-347	69	32	dwwwf	dwwwf	PROPN
aeasj-347	69	33	(	(	PUNCT
aeasj-347	69	34	9	9	NUM
aeasj-347	69	35	)	)	PUNCT
aeasj-347	69	36	thus	thus	ADV
aeasj-347	69	37	,	,	PUNCT
aeasj-347	69	38	we	we	PRON
aeasj-347	69	39	define	define	VERB
aeasj-347	69	40	implied	imply	VERB
aeasj-347	69	41	-	-	PUNCT
aeasj-347	69	42	inequality	inequality	NOUN
aeasj-347	69	43	-	-	PUNCT
aeasj-347	69	44	index	index	NOUN
aeasj-347	69	45	(	(	PUNCT
aeasj-347	69	46	iii	iii	NOUN
aeasj-347	69	47	)	)	PUNCT
aeasj-347	69	48	as	as	ADP
aeasj-347	69	49			X
aeasj-347	69	50			PROPN
aeasj-347	69	51	v	v	ADP
aeasj-347	69	52	dwwf	dwwf	NOUN
aeasj-347	69	53	)	)	PUNCT
aeasj-347	70	1	(	(	PUNCT
aeasj-347	70	2	when	when	SCONJ
aeasj-347	70	3	υ	υ	NOUN
aeasj-347	70	4	satisfies	satisfie	NOUN
aeasj-347	70	5	(	(	PUNCT
aeasj-347	70	6	5	5	NUM
aeasj-347	70	7	)	)	PUNCT
aeasj-347	70	8	.	.	PUNCT
aeasj-347	71	1	that	that	PRON
aeasj-347	71	2	is	be	AUX
aeasj-347	71	3	,	,	PUNCT
aeasj-347	71	4			PROPN
aeasj-347	71	5			NOUN
aeasj-347	71	6	v	v	NOUN
aeasj-347	71	7	dwwfiii	dwwfiii	NOUN
aeasj-347	71	8	)	)	PUNCT
aeasj-347	71	9	(	(	PUNCT
aeasj-347	71	10	when	when	SCONJ
aeasj-347	71	11	v	v	X
aeasj-347	71	12	satisfies	satisfie	NOUN
aeasj-347	71	13	21	21	NUM
aeasj-347	71	14	)	)	PUNCT
aeasj-347	71	15	(	(	PUNCT
aeasj-347	71	16	)	)	PUNCT
aeasj-347	71	17	(	(	PUNCT
aeasj-347	71	18			NUM
aeasj-347	71	19			NOUN
aeasj-347	71	20			PUNCT
aeasj-347	72	1			PROPN
aeasj-347	72	2			PROPN
aeasj-347	72	3			NOUN
aeasj-347	72	4	dwwwf	dwwwf	PROPN
aeasj-347	72	5	dwwwf	dwwwf	PROPN
aeasj-347	72	6	v	v	PROPN
aeasj-347	72	7	(	(	PUNCT
aeasj-347	72	8	10	10	NUM
aeasj-347	72	9	)	)	PUNCT
aeasj-347	72	10	to	to	PART
aeasj-347	72	11	find	find	VERB
aeasj-347	72	12	iii	iii	NOUN
aeasj-347	72	13	,	,	PUNCT
aeasj-347	72	14	(	(	PUNCT
aeasj-347	72	15	7	7	X
aeasj-347	72	16	)	)	PUNCT
aeasj-347	72	17	should	should	AUX
aeasj-347	72	18	be	be	AUX
aeasj-347	72	19	solved	solve	VERB
aeasj-347	72	20	for	for	ADP
aeasj-347	72	21	υ	υ	PROPN
aeasj-347	72	22	and	and	CCONJ
aeasj-347	72	23	its	its	PRON
aeasj-347	72	24	value	value	NOUN
aeasj-347	72	25	be	be	AUX
aeasj-347	72	26	replaced	replace	VERB
aeasj-347	72	27	in	in	ADP
aeasj-347	72	28	(	(	PUNCT
aeasj-347	72	29	10	10	NUM
aeasj-347	72	30	)	)	PUNCT
aeasj-347	72	31	.	.	PUNCT
aeasj-347	73	1	as	as	SCONJ
aeasj-347	73	2	iii	iii	NUM
aeasj-347	73	3	approaches	approach	NOUN
aeasj-347	73	4	½	½	NOUN
aeasj-347	73	5	,	,	PUNCT
aeasj-347	73	6	distribution	distribution	NOUN
aeasj-347	73	7	becomes	become	VERB
aeasj-347	73	8	more	more	ADV
aeasj-347	73	9	symmetric	symmetric	ADJ
aeasj-347	73	10	.	.	PUNCT
aeasj-347	74	1	if	if	SCONJ
aeasj-347	74	2	iii	iii	NOUN
aeasj-347	74	3	tends	tend	VERB
aeasj-347	74	4	to	to	ADP
aeasj-347	74	5	1	1	NUM
aeasj-347	74	6	,	,	PUNCT
aeasj-347	74	7	distribution	distribution	NOUN
aeasj-347	74	8	tends	tend	VERB
aeasj-347	74	9	to	to	PART
aeasj-347	74	10	be	be	AUX
aeasj-347	74	11	fully	fully	ADV
aeasj-347	74	12	right	right	ADV
aeasj-347	74	13	-	-	PUNCT
aeasj-347	74	14	skewed	skewed	ADJ
aeasj-347	74	15	,	,	PUNCT
aeasj-347	74	16	indicating	indicate	VERB
aeasj-347	74	17	high	high	ADJ
aeasj-347	74	18	(	(	PUNCT
aeasj-347	74	19	right	right	ADJ
aeasj-347	74	20	)	)	PUNCT
aeasj-347	74	21	inequality	inequality	NOUN
aeasj-347	74	22	and	and	CCONJ
aeasj-347	74	23	as	as	SCONJ
aeasj-347	74	24	iii	iii	NOUN
aeasj-347	74	25	tends	tend	VERB
aeasj-347	74	26	to	to	ADP
aeasj-347	74	27	0	0	NUM
aeasj-347	74	28	,	,	PUNCT
aeasj-347	74	29	distribution	distribution	NOUN
aeasj-347	74	30	tends	tend	VERB
aeasj-347	74	31	to	to	PART
aeasj-347	74	32	be	be	AUX
aeasj-347	74	33	left	leave	VERB
aeasj-347	74	34	-	-	PUNCT
aeasj-347	74	35	skewed	skewed	ADJ
aeasj-347	74	36	,	,	PUNCT
aeasj-347	74	37	and	and	CCONJ
aeasj-347	74	38	distribution	distribution	NOUN
aeasj-347	74	39	tends	tend	VERB
aeasj-347	74	40	to	to	PART
aeasj-347	74	41	(	(	PUNCT
aeasj-347	74	42	left	left	ADJ
aeasj-347	74	43	)	)	PUNCT
aeasj-347	74	44	high	high	ADJ
aeasj-347	74	45	inequality	inequality	NOUN
aeasj-347	74	46	.	.	PUNCT
aeasj-347	75	1	the	the	DET
aeasj-347	75	2	values	value	NOUN
aeasj-347	75	3	of	of	ADP
aeasj-347	75	4	iii	iii	NOUN
aeasj-347	75	5	less	less	ADJ
aeasj-347	75	6	than	than	ADP
aeasj-347	75	7	½	½	NOUN
aeasj-347	75	8	,	,	PUNCT
aeasj-347	75	9	the	the	DET
aeasj-347	75	10	iii	iii	NOUN
aeasj-347	75	11	has	have	VERB
aeasj-347	75	12	no	no	DET
aeasj-347	75	13	economic	economic	ADJ
aeasj-347	75	14	implication	implication	NOUN
aeasj-347	75	15	for	for	ADP
aeasj-347	75	16	income	income	NOUN
aeasj-347	75	17	distribution	distribution	NOUN
aeasj-347	75	18	.	.	PUNCT
aeasj-347	76	1	let	let	VERB
aeasj-347	76	2	us	we	PRON
aeasj-347	76	3	define	define	VERB
aeasj-347	76	4	the	the	DET
aeasj-347	76	5	cost	cost	NOUN
aeasj-347	76	6	of	of	ADP
aeasj-347	76	7	equalization	equalization	NOUN
aeasj-347	76	8	as	as	ADP
aeasj-347	76	9	:	:	PUNCT
aeasj-347	76	10	c=	c=	NOUN
aeasj-347	77	1	[	[	X
aeasj-347	77	2	iii-½]×n×μ	iii-½]×n×μ	PROPN
aeasj-347	77	3	(	(	PUNCT
aeasj-347	77	4	11	11	NUM
aeasj-347	77	5	)	)	PUNCT
aeasj-347	77	6	this	this	DET
aeasj-347	77	7	expression	expression	NOUN
aeasj-347	77	8	means	mean	VERB
aeasj-347	77	9	that	that	SCONJ
aeasj-347	77	10	to	to	PART
aeasj-347	77	11	equalize	equalize	VERB
aeasj-347	77	12	the	the	DET
aeasj-347	77	13	distribution	distribution	NOUN
aeasj-347	77	14	of	of	ADP
aeasj-347	77	15	income	income	NOUN
aeasj-347	77	16	without	without	ADP
aeasj-347	77	17	changing	change	VERB
aeasj-347	77	18	the	the	DET
aeasj-347	77	19	average	average	ADJ
aeasj-347	77	20	income	income	NOUN
aeasj-347	77	21	of	of	ADP
aeasj-347	77	22	the	the	DET
aeasj-347	77	23	society	society	NOUN
aeasj-347	77	24	,	,	PUNCT
aeasj-347	77	25	the	the	DET
aeasj-347	77	26	amount	amount	NOUN
aeasj-347	77	27	of	of	ADP
aeasj-347	77	28	c	c	NOUN
aeasj-347	77	29	in	in	ADP
aeasj-347	77	30	terms	term	NOUN
aeasj-347	77	31	of	of	ADP
aeasj-347	77	32	money	money	NOUN
aeasj-347	77	33	should	should	AUX
aeasj-347	77	34	be	be	AUX
aeasj-347	77	35	transferred	transfer	VERB
aeasj-347	77	36	from	from	ADP
aeasj-347	77	37	higher	high	ADJ
aeasj-347	77	38	income	income	NOUN
aeasj-347	77	39	earner	earner	NOUN
aeasj-347	77	40	to	to	ADP
aeasj-347	77	41	the	the	DET
aeasj-347	77	42	lower	low	ADJ
aeasj-347	77	43	income	income	NOUN
aeasj-347	77	44	earner	earner	NOUN
aeasj-347	77	45	,	,	PUNCT
aeasj-347	77	46	where	where	SCONJ
aeasj-347	77	47	n	n	NUM
aeasj-347	77	48	and	and	CCONJ
aeasj-347	77	49	μ	μ	PROPN
aeasj-347	77	50	are	be	AUX
aeasj-347	77	51	the	the	DET
aeasj-347	77	52	population	population	NOUN
aeasj-347	77	53	size	size	NOUN
aeasj-347	77	54	and	and	CCONJ
aeasj-347	77	55	average	average	ADJ
aeasj-347	77	56	income	income	NOUN
aeasj-347	77	57	of	of	ADP
aeasj-347	77	58	the	the	DET
aeasj-347	77	59	society	society	NOUN
aeasj-347	77	60	.	.	PUNCT
aeasj-347	78	1	we	we	PRON
aeasj-347	78	2	may	may	AUX
aeasj-347	78	3	normalize	normalize	VERB
aeasj-347	78	4	this	this	DET
aeasj-347	78	5	index	index	NOUN
aeasj-347	78	6	by	by	ADP
aeasj-347	78	7	dividing	divide	VERB
aeasj-347	78	8	the	the	DET
aeasj-347	78	9	equalization	equalization	NOUN
aeasj-347	78	10	cost	cost	NOUN
aeasj-347	78	11	by	by	ADP
aeasj-347	78	12	total	total	ADJ
aeasj-347	78	13	income	income	NOUN
aeasj-347	78	14	of	of	ADP
aeasj-347	78	15	the	the	DET
aeasj-347	78	16	society	society	NOUN
aeasj-347	78	17	and	and	CCONJ
aeasj-347	78	18	find	find	VERB
aeasj-347	78	19	an	an	DET
aeasj-347	78	20	intersocieties	intersocietie	NOUN
aeasj-347	78	21	comparable	comparable	ADJ
aeasj-347	78	22	index	index	NOUN
aeasj-347	78	23	.	.	PUNCT
aeasj-347	79	1	that	that	PRON
aeasj-347	79	2	is	be	AUX
aeasj-347	79	3	:	:	PUNCT
aeasj-347	79	4	copyright	copyright	NOUN
aeasj-347	79	5	©	©	PROPN
aeasj-347	79	6	cc	cc	PROPN
aeasj-347	79	7	-	-	PUNCT
aeasj-347	79	8	by	by	ADP
aeasj-347	79	9	-	-	PUNCT
aeasj-347	79	10	nc	nc	PROPN
aeasj-347	79	11	2019	2019	NUM
aeasj-347	79	12	,	,	PUNCT
aeasj-347	79	13	cribfb	cribfb	VERB
aeasj-347	79	14	|	|	ADV
aeasj-347	79	15	aesr	aesr	ADV
aeasj-347	79	16	www.cribfb.com/journal/index.php/aesr	www.cribfb.com/journal/index.php/aesr	VERB
aeasj-347	79	17	american	american	PROPN
aeasj-347	79	18	economic	economic	PROPN
aeasj-347	79	19	&	&	CCONJ
aeasj-347	79	20	social	social	PROPN
aeasj-347	79	21	review	review	PROPN
aeasj-347	79	22	vol	vol	NOUN
aeasj-347	79	23	.	.	PROPN
aeasj-347	80	1	5	5	NUM
aeasj-347	80	2	,	,	PUNCT
aeasj-347	80	3	no	no	INTJ
aeasj-347	80	4	.	.	NOUN
aeasj-347	80	5	2	2	NUM
aeasj-347	80	6	;	;	PUNCT
aeasj-347	80	7	2019	2019	NUM
aeasj-347	80	8	15	15	NUM
aeasj-347	80	9	relative	relative	ADJ
aeasj-347	80	10	cost	cost	NOUN
aeasj-347	80	11	of	of	ADP
aeasj-347	80	12	equalization	equalization	NOUN
aeasj-347	80	13	=	=	PUNCT
aeasj-347	81	1	[	[	X
aeasj-347	81	2	(	(	PUNCT
aeasj-347	81	3	iii-½)×n×μ	iii-½)×n×μ	NOUN
aeasj-347	81	4	]	]	X
aeasj-347	81	5	/	/	SYM
aeasj-347	81	6	(	(	PUNCT
aeasj-347	81	7	n×μ	n×μ	PROPN
aeasj-347	81	8	)	)	PUNCT
aeasj-347	81	9	=	=	PRON
aeasj-347	81	10	(	(	PUNCT
aeasj-347	81	11	iii-½	iii-½	PROPN
aeasj-347	81	12	)	)	PUNCT
aeasj-347	81	13	(	(	PUNCT
aeasj-347	81	14	12	12	NUM
aeasj-347	81	15	)	)	PUNCT
aeasj-347	81	16	4	4	NUM
aeasj-347	81	17	.	.	PUNCT
aeasj-347	81	18	numerical	numerical	PROPN
aeasj-347	81	19	example	example	NOUN
aeasj-347	81	20	to	to	PART
aeasj-347	81	21	illustrate	illustrate	VERB
aeasj-347	81	22	,	,	PUNCT
aeasj-347	81	23	the	the	DET
aeasj-347	81	24	following	follow	VERB
aeasj-347	81	25	table	table	NOUN
aeasj-347	81	26	1	1	NUM
aeasj-347	81	27	of	of	ADP
aeasj-347	81	28	income	income	NOUN
aeasj-347	81	29	distribution	distribution	NOUN
aeasj-347	81	30	for	for	ADP
aeasj-347	81	31	a	a	DET
aeasj-347	81	32	hypothetical	hypothetical	ADJ
aeasj-347	81	33	society	society	NOUN
aeasj-347	81	34	is	be	AUX
aeasj-347	81	35	used	use	VERB
aeasj-347	81	36	.	.	PUNCT
aeasj-347	82	1	consider	consider	VERB
aeasj-347	82	2	a	a	DET
aeasj-347	82	3	society	society	NOUN
aeasj-347	82	4	of	of	ADP
aeasj-347	82	5	400	400	NUM
aeasj-347	82	6	households	household	NOUN
aeasj-347	82	7	with	with	ADP
aeasj-347	82	8	a	a	DET
aeasj-347	82	9	total	total	ADJ
aeasj-347	82	10	income	income	NOUN
aeasj-347	82	11	of	of	ADP
aeasj-347	82	12	the	the	DET
aeasj-347	82	13	society	society	NOUN
aeasj-347	82	14	equal	equal	ADJ
aeasj-347	82	15	to	to	ADP
aeasj-347	82	16	$	$	SYM
aeasj-347	82	17	2000	2000	NUM
aeasj-347	82	18	where	where	SCONJ
aeasj-347	82	19	280	280	NUM
aeasj-347	82	20	poor	poor	ADJ
aeasj-347	82	21	income	income	NOUN
aeasj-347	82	22	earners	earner	NOUN
aeasj-347	82	23	receive	receive	VERB
aeasj-347	82	24	half	half	NOUN
aeasj-347	82	25	of	of	ADP
aeasj-347	82	26	it	it	PRON
aeasj-347	82	27	(	(	PUNCT
aeasj-347	82	28	$	$	SYM
aeasj-347	82	29	1000	1000	NUM
aeasj-347	82	30	)	)	PUNCT
aeasj-347	82	31	and	and	CCONJ
aeasj-347	82	32	120	120	NUM
aeasj-347	82	33	richer	rich	ADJ
aeasj-347	82	34	earn	earn	VERB
aeasj-347	82	35	another	another	DET
aeasj-347	82	36	50	50	NUM
aeasj-347	82	37	%	%	NOUN
aeasj-347	82	38	(	(	PUNCT
aeasj-347	82	39	$	$	SYM
aeasj-347	82	40	1000	1000	NUM
aeasj-347	82	41	)	)	PUNCT
aeasj-347	82	42	of	of	ADP
aeasj-347	82	43	the	the	DET
aeasj-347	82	44	society	society	NOUN
aeasj-347	82	45	’s	’s	PART
aeasj-347	82	46	income	income	NOUN
aeasj-347	82	47	.	.	PUNCT
aeasj-347	83	1	these	these	DET
aeasj-347	83	2	values	value	NOUN
aeasj-347	83	3	can	can	AUX
aeasj-347	83	4	be	be	AUX
aeasj-347	83	5	simply	simply	ADV
aeasj-347	83	6	understood	understand	VERB
aeasj-347	83	7	from	from	ADP
aeasj-347	83	8	table	table	NOUN
aeasj-347	83	9	1	1	NUM
aeasj-347	83	10	.	.	PUNCT
aeasj-347	84	1	at	at	ADP
aeasj-347	84	2	the	the	DET
aeasj-347	84	3	half	half	NOUN
aeasj-347	84	4	of	of	ADP
aeasj-347	84	5	total	total	ADJ
aeasj-347	84	6	income	income	NOUN
aeasj-347	84	7	of	of	ADP
aeasj-347	84	8	the	the	DET
aeasj-347	84	9	society	society	NOUN
aeasj-347	84	10	(	(	PUNCT
aeasj-347	84	11	$	$	SYM
aeasj-347	84	12	1000	1000	NUM
aeasj-347	84	13	)	)	PUNCT
aeasj-347	84	14	,	,	PUNCT
aeasj-347	84	15	the	the	DET
aeasj-347	84	16	bottom	bottom	ADJ
aeasj-347	84	17	70	70	NUM
aeasj-347	84	18	%	%	NOUN
aeasj-347	84	19	of	of	ADP
aeasj-347	84	20	the	the	DET
aeasj-347	84	21	population	population	NOUN
aeasj-347	84	22	earns	earn	VERB
aeasj-347	84	23	50	50	NUM
aeasj-347	84	24	%	%	NOUN
aeasj-347	84	25	of	of	ADP
aeasj-347	84	26	society	society	NOUN
aeasj-347	84	27	’s	’s	PART
aeasj-347	84	28	income	income	NOUN
aeasj-347	84	29	,	,	PUNCT
aeasj-347	84	30	and	and	CCONJ
aeasj-347	84	31	30	30	NUM
aeasj-347	84	32	%	%	NOUN
aeasj-347	84	33	of	of	ADP
aeasj-347	84	34	the	the	DET
aeasj-347	84	35	top	top	NOUN
aeasj-347	84	36	of	of	ADP
aeasj-347	84	37	the	the	DET
aeasj-347	84	38	population	population	NOUN
aeasj-347	84	39	earn	earn	VERB
aeasj-347	84	40	other	other	ADJ
aeasj-347	84	41	50	50	NUM
aeasj-347	84	42	%	%	NOUN
aeasj-347	84	43	of	of	ADP
aeasj-347	84	44	the	the	DET
aeasj-347	84	45	total	total	ADJ
aeasj-347	84	46	income	income	NOUN
aeasj-347	84	47	of	of	ADP
aeasj-347	84	48	the	the	DET
aeasj-347	84	49	society	society	NOUN
aeasj-347	84	50	.	.	PUNCT
aeasj-347	85	1	according	accord	VERB
aeasj-347	85	2	to	to	ADP
aeasj-347	85	3	table	table	NOUN
aeasj-347	85	4	1	1	NUM
aeasj-347	85	5	,	,	PUNCT
aeasj-347	85	6	we	we	PRON
aeasj-347	85	7	have	have	VERB
aeasj-347	85	8	:	:	PUNCT
aeasj-347	85	9	n	n	PROPN
aeasj-347	85	10	=	=	SYM
aeasj-347	85	11	400	400	NUM
aeasj-347	85	12	(	(	PUNCT
aeasj-347	85	13	number	number	NOUN
aeasj-347	85	14	of	of	ADP
aeasj-347	85	15	households	household	NOUN
aeasj-347	85	16	)	)	PUNCT
aeasj-347	85	17	υ	υ	NOUN
aeasj-347	85	18	=	=	PUNCT
aeasj-347	85	19	μ	μ	PROPN
aeasj-347	85	20	=	=	SYM
aeasj-347	86	1	2000/400=5	2000/400=5	NUM
aeasj-347	86	2	(	(	PUNCT
aeasj-347	86	3	average	average	ADJ
aeasj-347	86	4	income	income	NOUN
aeasj-347	86	5	)	)	PUNCT
aeasj-347	86	6	μ	μ	NOUN
aeasj-347	86	7	lower	low	ADJ
aeasj-347	86	8	=	=	SYM
aeasj-347	86	9	1000/280	1000/280	NUM
aeasj-347	86	10	=	=	SYM
aeasj-347	86	11	3.57	3.57	NUM
aeasj-347	86	12	(	(	PUNCT
aeasj-347	86	13	average	average	ADJ
aeasj-347	86	14	income	income	NOUN
aeasj-347	86	15	of	of	ADP
aeasj-347	86	16	lower	low	ADJ
aeasj-347	86	17	category	category	NOUN
aeasj-347	86	18	)	)	PUNCT
aeasj-347	87	1	μ	μ	NOUN
aeasj-347	87	2	upper	upper	ADJ
aeasj-347	87	3	=	=	PUNCT
aeasj-347	87	4	1000/120	1000/120	PROPN
aeasj-347	87	5	=	=	NOUN
aeasj-347	87	6	8.33	8.33	NUM
aeasj-347	87	7	,	,	PUNCT
aeasj-347	87	8	(	(	PUNCT
aeasj-347	87	9	average	average	ADJ
aeasj-347	87	10	income	income	NOUN
aeasj-347	87	11	of	of	ADP
aeasj-347	87	12	upper	upper	ADJ
aeasj-347	87	13	category	category	NOUN
aeasj-347	87	14	)	)	PUNCT
aeasj-347	87	15	iii	iii	X
aeasj-347	88	1	=	=	SYM
aeasj-347	88	2	280/400	280/400	NUM
aeasj-347	88	3	=	=	SYM
aeasj-347	88	4	0.7	0.7	NUM
aeasj-347	88	5	(	(	PUNCT
aeasj-347	88	6	implied	imply	VERB
aeasj-347	88	7	inequality	inequality	NOUN
aeasj-347	88	8	index	index	NOUN
aeasj-347	88	9	)	)	PUNCT
aeasj-347	88	10	c	c	PROPN
aeasj-347	88	11	=	=	SYM
aeasj-347	88	12	(	(	PUNCT
aeasj-347	88	13	0.7	0.7	NUM
aeasj-347	88	14	-	-	SYM
aeasj-347	88	15	0.5	0.5	NUM
aeasj-347	88	16	)	)	PUNCT
aeasj-347	88	17	×	×	NOUN
aeasj-347	88	18	400×5=	400×5=	NUM
aeasj-347	88	19	$	$	SYM
aeasj-347	88	20	400	400	NUM
aeasj-347	88	21	(	(	PUNCT
aeasj-347	88	22	cost	cost	NOUN
aeasj-347	88	23	of	of	ADP
aeasj-347	88	24	equalization	equalization	NOUN
aeasj-347	88	25	)	)	PUNCT
aeasj-347	88	26	that	that	PRON
aeasj-347	88	27	is	be	AUX
aeasj-347	88	28	,	,	PUNCT
aeasj-347	88	29	if	if	SCONJ
aeasj-347	88	30	we	we	PRON
aeasj-347	88	31	collect	collect	VERB
aeasj-347	88	32	total	total	ADJ
aeasj-347	88	33	tax	tax	NOUN
aeasj-347	88	34	of	of	ADP
aeasj-347	88	35	$	$	SYM
aeasj-347	88	36	400	400	NUM
aeasj-347	88	37	from	from	ADP
aeasj-347	88	38	the	the	DET
aeasj-347	88	39	top	top	ADJ
aeasj-347	88	40	30	30	NUM
aeasj-347	88	41	%	%	NOUN
aeasj-347	88	42	of	of	ADP
aeasj-347	88	43	the	the	DET
aeasj-347	88	44	population	population	NOUN
aeasj-347	88	45	and	and	CCONJ
aeasj-347	88	46	transfer	transfer	VERB
aeasj-347	88	47	it	it	PRON
aeasj-347	88	48	to	to	ADP
aeasj-347	88	49	the	the	DET
aeasj-347	88	50	lower	low	ADJ
aeasj-347	88	51	70	70	NUM
aeasj-347	88	52	%	%	NOUN
aeasj-347	88	53	of	of	ADP
aeasj-347	88	54	the	the	DET
aeasj-347	88	55	income	income	NOUN
aeasj-347	88	56	earners	earner	NOUN
aeasj-347	88	57	,	,	PUNCT
aeasj-347	88	58	the	the	DET
aeasj-347	88	59	average	average	ADJ
aeasj-347	88	60	income	income	NOUN
aeasj-347	88	61	of	of	ADP
aeasj-347	88	62	both	both	DET
aeasj-347	88	63	groups	group	NOUN
aeasj-347	88	64	will	will	AUX
aeasj-347	88	65	be	be	AUX
aeasj-347	88	66	the	the	DET
aeasj-347	88	67	same	same	ADJ
aeasj-347	88	68	:	:	PUNCT
aeasj-347	88	69	(	(	PUNCT
aeasj-347	88	70	1000	1000	NUM
aeasj-347	88	71	+	+	NOUN
aeasj-347	88	72	400)/280	400)/280	NOUN
aeasj-347	88	73	=	=	SYM
aeasj-347	88	74	(	(	PUNCT
aeasj-347	88	75	1000	1000	NUM
aeasj-347	88	76	-	-	PUNCT
aeasj-347	88	77	400)/	400)/	NOUN
aeasj-347	88	78	120	120	NUM
aeasj-347	88	79	=	=	SYM
aeasj-347	88	80	5	5	NUM
aeasj-347	88	81	relative	relative	ADJ
aeasj-347	88	82	cost	cost	NOUN
aeasj-347	88	83	of	of	ADP
aeasj-347	88	84	equalization	equalization	NOUN
aeasj-347	88	85	=	=	NOUN
aeasj-347	88	86	0.7	0.7	NUM
aeasj-347	88	87	-	-	SYM
aeasj-347	88	88	0.5	0.5	NUM
aeasj-347	88	89	=	=	SYM
aeasj-347	88	90	0.2	0.2	NUM
aeasj-347	88	91	=	=	NUM
aeasj-347	89	1	%	%	NOUN
aeasj-347	89	2	20	20	NUM
aeasj-347	89	3	that	that	PRON
aeasj-347	89	4	is	be	AUX
aeasj-347	89	5	the	the	DET
aeasj-347	89	6	cost	cost	NOUN
aeasj-347	89	7	of	of	ADP
aeasj-347	89	8	such	such	ADJ
aeasj-347	89	9	equalization	equalization	NOUN
aeasj-347	89	10	is	be	AUX
aeasj-347	89	11	20	20	NUM
aeasj-347	89	12	%	%	NOUN
aeasj-347	89	13	of	of	ADP
aeasj-347	89	14	the	the	DET
aeasj-347	89	15	total	total	ADJ
aeasj-347	89	16	income	income	NOUN
aeasj-347	89	17	of	of	ADP
aeasj-347	89	18	the	the	DET
aeasj-347	89	19	society	society	NOUN
aeasj-347	89	20	.	.	PUNCT
aeasj-347	90	1	according	accord	VERB
aeasj-347	90	2	to	to	ADP
aeasj-347	90	3	table	table	NOUN
aeasj-347	90	4	1	1	NUM
aeasj-347	90	5	,	,	PUNCT
aeasj-347	90	6	we	we	PRON
aeasj-347	90	7	may	may	AUX
aeasj-347	90	8	depict	depict	VERB
aeasj-347	90	9	the	the	DET
aeasj-347	90	10	iii	iii	NOUN
aeasj-347	90	11	and	and	CCONJ
aeasj-347	90	12	the	the	DET
aeasj-347	90	13	relative	relative	ADJ
aeasj-347	90	14	cost	cost	NOUN
aeasj-347	90	15	of	of	ADP
aeasj-347	90	16	equalization	equalization	NOUN
aeasj-347	90	17	on	on	ADP
aeasj-347	90	18	the	the	DET
aeasj-347	90	19	lorenz	lorenz	PROPN
aeasj-347	90	20	curve	curve	NOUN
aeasj-347	90	21	as	as	SCONJ
aeasj-347	90	22	follows	follow	VERB
aeasj-347	90	23	.	.	PUNCT
aeasj-347	91	1	this	this	DET
aeasj-347	91	2	index	index	NOUN
aeasj-347	91	3	is	be	AUX
aeasj-347	91	4	illustrated	illustrate	VERB
aeasj-347	91	5	by	by	ADP
aeasj-347	91	6	using	use	VERB
aeasj-347	91	7	columns	column	NOUN
aeasj-347	91	8	(	(	PUNCT
aeasj-347	91	9	4	4	NUM
aeasj-347	91	10	)	)	PUNCT
aeasj-347	91	11	and	and	CCONJ
aeasj-347	91	12	(	(	PUNCT
aeasj-347	91	13	9	9	X
aeasj-347	91	14	)	)	PUNCT
aeasj-347	91	15	of	of	ADP
aeasj-347	91	16	table	table	NOUN
aeasj-347	91	17	1	1	NUM
aeasj-347	91	18	.	.	PUNCT
aeasj-347	92	1	figure	figure	NOUN
aeasj-347	92	2	1	1	NUM
aeasj-347	92	3	shows	show	VERB
aeasj-347	92	4	the	the	DET
aeasj-347	92	5	results	result	NOUN
aeasj-347	92	6	,	,	PUNCT
aeasj-347	92	7	as	as	ADV
aeasj-347	92	8	well	well	ADV
aeasj-347	92	9	.	.	PUNCT
aeasj-347	93	1	in	in	ADP
aeasj-347	93	2	table	table	NOUN
aeasj-347	93	3	1	1	NUM
aeasj-347	93	4	,	,	PUNCT
aeasj-347	93	5	the	the	DET
aeasj-347	93	6	column	column	NOUN
aeasj-347	93	7	(	(	PUNCT
aeasj-347	93	8	1	1	X
aeasj-347	93	9	)	)	PUNCT
aeasj-347	93	10	depicts	depict	VERB
aeasj-347	93	11	dollar	dollar	NOUN
aeasj-347	93	12	values	value	NOUN
aeasj-347	93	13	of	of	ADP
aeasj-347	93	14	income	income	NOUN
aeasj-347	93	15	categories	category	NOUN
aeasj-347	93	16	,	,	PUNCT
aeasj-347	93	17	and	and	CCONJ
aeasj-347	93	18	the	the	DET
aeasj-347	93	19	column	column	NOUN
aeasj-347	93	20	(	(	PUNCT
aeasj-347	93	21	2	2	X
aeasj-347	93	22	)	)	PUNCT
aeasj-347	93	23	shows	show	VERB
aeasj-347	93	24	the	the	DET
aeasj-347	93	25	number	number	NOUN
aeasj-347	93	26	or	or	CCONJ
aeasj-347	93	27	frequencies	frequency	NOUN
aeasj-347	93	28	of	of	ADP
aeasj-347	93	29	households	household	NOUN
aeasj-347	93	30	in	in	ADP
aeasj-347	93	31	each	each	DET
aeasj-347	93	32	income	income	NOUN
aeasj-347	93	33	category	category	NOUN
aeasj-347	93	34	of	of	ADP
aeasj-347	93	35	column	column	NOUN
aeasj-347	93	36	(	(	PUNCT
aeasj-347	93	37	1	1	NUM
aeasj-347	93	38	)	)	PUNCT
aeasj-347	93	39	.	.	PUNCT
aeasj-347	94	1	columns	column	NOUN
aeasj-347	94	2	(	(	PUNCT
aeasj-347	94	3	3	3	NUM
aeasj-347	94	4	)	)	PUNCT
aeasj-347	94	5	,	,	PUNCT
aeasj-347	94	6	(	(	PUNCT
aeasj-347	94	7	4	4	NUM
aeasj-347	94	8	)	)	PUNCT
aeasj-347	94	9	,	,	PUNCT
aeasj-347	94	10	and	and	CCONJ
aeasj-347	94	11	(	(	PUNCT
aeasj-347	94	12	5	5	X
aeasj-347	94	13	)	)	PUNCT
aeasj-347	94	14	are	be	AUX
aeasj-347	94	15	for	for	ADP
aeasj-347	94	16	cumulative	cumulative	ADJ
aeasj-347	94	17	frequencies	frequency	NOUN
aeasj-347	94	18	,	,	PUNCT
aeasj-347	94	19	relative	relative	ADJ
aeasj-347	94	20	frequencies	frequency	NOUN
aeasj-347	94	21	,	,	PUNCT
aeasj-347	94	22	and	and	CCONJ
aeasj-347	94	23	relative	relative	ADJ
aeasj-347	94	24	cumulative	cumulative	ADJ
aeasj-347	94	25	frequencies	frequency	NOUN
aeasj-347	94	26	.	.	PUNCT
aeasj-347	95	1	column	column	NOUN
aeasj-347	95	2	(	(	PUNCT
aeasj-347	95	3	6	6	X
aeasj-347	95	4	)	)	PUNCT
aeasj-347	95	5	shows	show	VERB
aeasj-347	95	6	the	the	DET
aeasj-347	95	7	number	number	NOUN
aeasj-347	95	8	of	of	ADP
aeasj-347	95	9	lower	low	ADJ
aeasj-347	95	10	and	and	CCONJ
aeasj-347	95	11	higher	high	ADJ
aeasj-347	95	12	income	income	NOUN
aeasj-347	95	13	earners	earner	NOUN
aeasj-347	95	14	.	.	PUNCT
aeasj-347	96	1	column	column	NOUN
aeasj-347	96	2	(	(	PUNCT
aeasj-347	96	3	7	7	X
aeasj-347	96	4	)	)	PUNCT
aeasj-347	96	5	shows	show	VERB
aeasj-347	96	6	the	the	DET
aeasj-347	96	7	multiplication	multiplication	NOUN
aeasj-347	96	8	of	of	ADP
aeasj-347	96	9	the	the	DET
aeasj-347	96	10	paired	pair	VERB
aeasj-347	96	11	elements	element	NOUN
aeasj-347	96	12	of	of	ADP
aeasj-347	96	13	the	the	DET
aeasj-347	96	14	columns	column	NOUN
aeasj-347	96	15	(	(	PUNCT
aeasj-347	96	16	1	1	NUM
aeasj-347	96	17	)	)	PUNCT
aeasj-347	96	18	and	and	CCONJ
aeasj-347	96	19	(	(	PUNCT
aeasj-347	96	20	2	2	NUM
aeasj-347	96	21	)	)	PUNCT
aeasj-347	96	22	.	.	PUNCT
aeasj-347	97	1	column	column	NOUN
aeasj-347	97	2	(	(	PUNCT
aeasj-347	97	3	8)	8)	NUM
aeasj-347	97	4	cumulates	cumulate	NOUN
aeasj-347	97	5	(	(	PUNCT
aeasj-347	97	6	7	7	NUM
aeasj-347	97	7	)	)	PUNCT
aeasj-347	97	8	and	and	CCONJ
aeasj-347	97	9	(	(	PUNCT
aeasj-347	97	10	9	9	X
aeasj-347	97	11	)	)	PUNCT
aeasj-347	97	12	shows	show	VERB
aeasj-347	97	13	the	the	DET
aeasj-347	97	14	relative	relative	ADJ
aeasj-347	97	15	cumulative	cumulative	ADJ
aeasj-347	97	16	income	income	NOUN
aeasj-347	97	17	.	.	PUNCT
aeasj-347	98	1	the	the	DET
aeasj-347	98	2	column	column	NOUN
aeasj-347	98	3	(	(	PUNCT
aeasj-347	98	4	10	10	NUM
aeasj-347	98	5	)	)	PUNCT
aeasj-347	98	6	shows	show	VERB
aeasj-347	98	7	half	half	NOUN
aeasj-347	98	8	of	of	ADP
aeasj-347	98	9	the	the	DET
aeasj-347	98	10	total	total	ADJ
aeasj-347	98	11	income	income	NOUN
aeasj-347	98	12	of	of	ADP
aeasj-347	98	13	society	society	NOUN
aeasj-347	98	14	.	.	PUNCT
aeasj-347	99	1	table	table	NOUN
aeasj-347	99	2	1	1	NUM
aeasj-347	99	3	:	:	PUNCT
aeasj-347	99	4	income	income	NOUN
aeasj-347	99	5	distribution	distribution	NOUN
aeasj-347	99	6	for	for	ADP
aeasj-347	99	7	a	a	DET
aeasj-347	99	8	hypothetical	hypothetical	ADJ
aeasj-347	99	9	society	society	NOUN
aeasj-347	99	10	income	income	NOUN
aeasj-347	99	11	w	w	PROPN
aeasj-347	99	12	frequency	frequency	PROPN
aeasj-347	99	13	f	f	PROPN
aeasj-347	99	14	cumulative	cumulative	ADJ
aeasj-347	99	15	frequency	frequency	NOUN
aeasj-347	99	16	f	f	PROPN
aeasj-347	99	17	relative	relative	ADJ
aeasj-347	99	18	frequency	frequency	NOUN
aeasj-347	99	19	relative	relative	ADJ
aeasj-347	99	20	cumulative	cumulative	ADJ
aeasj-347	99	21	frequency	frequency	NOUN
aeasj-347	99	22	half	half	ADJ
aeasj-347	99	23	income	income	NOUN
aeasj-347	99	24	earner	earner	NOUN
aeasj-347	99	25	w	w	PROPN
aeasj-347	99	26	.	.	PUNCT
aeasj-347	100	1	f	f	PROPN
aeasj-347	100	2	(	(	PUNCT
aeasj-347	100	3	1)*(2	1)*(2	NUM
aeasj-347	100	4	)	)	PUNCT
aeasj-347	100	5	cumulative	cumulative	ADJ
aeasj-347	100	6	income	income	NOUN
aeasj-347	100	7	relative	relative	ADJ
aeasj-347	100	8	cumulative	cumulative	ADJ
aeasj-347	100	9	income	income	NOUN
aeasj-347	100	10	half	half	NOUN
aeasj-347	100	11	income	income	NOUN
aeasj-347	100	12	(	(	PUNCT
aeasj-347	100	13	$	$	SYM
aeasj-347	100	14	)	)	PUNCT
aeasj-347	100	15	(	(	PUNCT
aeasj-347	100	16	numbers	number	NOUN
aeasj-347	100	17	)	)	PUNCT
aeasj-347	100	18	(	(	PUNCT
aeasj-347	100	19	numbers	number	NOUN
aeasj-347	100	20	)	)	PUNCT
aeasj-347	100	21	(	(	PUNCT
aeasj-347	100	22	%	%	INTJ
aeasj-347	100	23	)	)	PUNCT
aeasj-347	100	24	(	(	PUNCT
aeasj-347	100	25	%	%	INTJ
aeasj-347	100	26	)	)	PUNCT
aeasj-347	100	27	(	(	PUNCT
aeasj-347	100	28	numbers	number	NOUN
aeasj-347	100	29	)	)	PUNCT
aeasj-347	100	30	(	(	PUNCT
aeasj-347	100	31	$	$	SYM
aeasj-347	100	32	)	)	PUNCT
aeasj-347	100	33	(	(	PUNCT
aeasj-347	100	34	$	$	SYM
aeasj-347	100	35	)	)	PUNCT
aeasj-347	100	36	(	(	PUNCT
aeasj-347	100	37	$	$	SYM
aeasj-347	100	38	)	)	PUNCT
aeasj-347	100	39	(	(	PUNCT
aeasj-347	100	40	$	$	NOUN
aeasj-347	100	41	)	)	PUNCT
aeasj-347	100	42	(	(	PUNCT
aeasj-347	100	43	1	1	X
aeasj-347	100	44	)	)	PUNCT
aeasj-347	100	45	(	(	PUNCT
aeasj-347	100	46	2	2	NUM
aeasj-347	100	47	)	)	PUNCT
aeasj-347	100	48	(	(	PUNCT
aeasj-347	100	49	3	3	X
aeasj-347	100	50	)	)	PUNCT
aeasj-347	100	51	(	(	PUNCT
aeasj-347	100	52	4	4	NUM
aeasj-347	100	53	)	)	PUNCT
aeasj-347	100	54	(	(	PUNCT
aeasj-347	100	55	5	5	NUM
aeasj-347	100	56	)	)	PUNCT
aeasj-347	100	57	(	(	PUNCT
aeasj-347	100	58	6	6	NUM
aeasj-347	100	59	)	)	PUNCT
aeasj-347	100	60	(	(	PUNCT
aeasj-347	100	61	7	7	NUM
aeasj-347	100	62	)	)	PUNCT
aeasj-347	100	63	(	(	PUNCT
aeasj-347	100	64	8)	8)	NUM
aeasj-347	100	65	(	(	PUNCT
aeasj-347	100	66	9	9	NUM
aeasj-347	100	67	)	)	PUNCT
aeasj-347	100	68	(	(	PUNCT
aeasj-347	100	69	10	10	NUM
aeasj-347	100	70	)	)	PUNCT
aeasj-347	100	71	1	1	NUM
aeasj-347	100	72	17	17	NUM
aeasj-347	100	73	17	17	NUM
aeasj-347	100	74	4.3	4.3	NUM
aeasj-347	100	75	%	%	NOUN
aeasj-347	100	76	4.3	4.3	NUM
aeasj-347	100	77	%	%	NOUN
aeasj-347	100	78	280	280	NUM
aeasj-347	100	79	17	17	NUM
aeasj-347	100	80	17	17	NUM
aeasj-347	100	81	0.9	0.9	NUM
aeasj-347	100	82	%	%	NOUN
aeasj-347	100	83	1000	1000	NUM
aeasj-347	100	84	2	2	NUM
aeasj-347	100	85	20	20	NUM
aeasj-347	100	86	37	37	NUM
aeasj-347	100	87	5.0	5.0	NUM
aeasj-347	100	88	%	%	NOUN
aeasj-347	100	89	9.3	9.3	NUM
aeasj-347	100	90	%	%	NOUN
aeasj-347	100	91	40	40	NUM
aeasj-347	100	92	57	57	NUM
aeasj-347	100	93	2.9	2.9	NUM
aeasj-347	100	94	%	%	NOUN
aeasj-347	100	95	3	3	NUM
aeasj-347	100	96	95	95	NUM
aeasj-347	100	97	132	132	NUM
aeasj-347	100	98	23.8	23.8	NUM
aeasj-347	100	99	%	%	NOUN
aeasj-347	100	100	33.0	33.0	NUM
aeasj-347	100	101	%	%	NOUN
aeasj-347	100	102	285	285	NUM
aeasj-347	100	103	342	342	NUM
aeasj-347	100	104	17.1	17.1	NUM
aeasj-347	100	105	%	%	NOUN
aeasj-347	100	106	4	4	NUM
aeasj-347	100	107	82	82	NUM
aeasj-347	100	108	214	214	NUM
aeasj-347	100	109	20.5	20.5	NUM
aeasj-347	100	110	%	%	NOUN
aeasj-347	100	111	53.5	53.5	NUM
aeasj-347	100	112	%	%	NOUN
aeasj-347	100	113	328	328	NUM
aeasj-347	100	114	670	670	NUM
aeasj-347	100	115	33.5	33.5	NUM
aeasj-347	100	116	%	%	NOUN
aeasj-347	100	117	5	5	NUM
aeasj-347	100	118	66	66	NUM
aeasj-347	100	119	280	280	NUM
aeasj-347	100	120	16.5	16.5	NUM
aeasj-347	100	121	%	%	NOUN
aeasj-347	100	122	70.0	70.0	NUM
aeasj-347	100	123	%	%	NOUN
aeasj-347	100	124	330	330	NUM
aeasj-347	100	125	1000	1000	NUM
aeasj-347	100	126	50.0	50.0	NUM
aeasj-347	100	127	%	%	NOUN
aeasj-347	100	128	6	6	NUM
aeasj-347	100	129	30	30	NUM
aeasj-347	100	130	310	310	NUM
aeasj-347	100	131	7.5	7.5	NUM
aeasj-347	100	132	%	%	NOUN
aeasj-347	100	133	77.5	77.5	NUM
aeasj-347	100	134	%	%	NOUN
aeasj-347	100	135	120	120	NUM
aeasj-347	100	136	180	180	NUM
aeasj-347	100	137	1180	1180	NUM
aeasj-347	100	138	59.0	59.0	NUM
aeasj-347	100	139	%	%	NOUN
aeasj-347	100	140	7	7	NUM
aeasj-347	100	141	21	21	NUM
aeasj-347	100	142	331	331	NUM
aeasj-347	100	143	5.3	5.3	NUM
aeasj-347	100	144	%	%	NOUN
aeasj-347	100	145	82.8	82.8	NUM
aeasj-347	100	146	%	%	NOUN
aeasj-347	100	147	147	147	NUM
aeasj-347	100	148	1327	1327	NUM
aeasj-347	100	149	66.4	66.4	NUM
aeasj-347	100	150	%	%	NOUN
aeasj-347	100	151	8	8	NUM
aeasj-347	100	152	18	18	NUM
aeasj-347	100	153	349	349	NUM
aeasj-347	100	154	4.5	4.5	NUM
aeasj-347	100	155	%	%	NOUN
aeasj-347	100	156	87.3	87.3	NUM
aeasj-347	100	157	%	%	NOUN
aeasj-347	100	158	144	144	NUM
aeasj-347	100	159	1471	1471	NUM
aeasj-347	100	160	73.6	73.6	NUM
aeasj-347	100	161	%	%	NOUN
aeasj-347	100	162	9	9	NUM
aeasj-347	100	163	17	17	NUM
aeasj-347	100	164	366	366	NUM
aeasj-347	100	165	4.3	4.3	NUM
aeasj-347	100	166	%	%	NOUN
aeasj-347	100	167	91.5	91.5	NUM
aeasj-347	100	168	%	%	NOUN
aeasj-347	100	169	153	153	NUM
aeasj-347	100	170	1624	1624	NUM
aeasj-347	100	171	81.2	81.2	NUM
aeasj-347	100	172	%	%	NOUN
aeasj-347	100	173	10	10	NUM
aeasj-347	100	174	14	14	NUM
aeasj-347	100	175	380	380	NUM
aeasj-347	100	176	3.5	3.5	NUM
aeasj-347	100	177	%	%	NOUN
aeasj-347	100	178	95.0	95.0	NUM
aeasj-347	100	179	%	%	NOUN
aeasj-347	100	180	140	140	NUM
aeasj-347	100	181	1764	1764	NUM
aeasj-347	100	182	88.2	88.2	NUM
aeasj-347	100	183	%	%	NOUN
aeasj-347	100	184	11	11	NUM
aeasj-347	100	185	11	11	NUM
aeasj-347	100	186	391	391	NUM
aeasj-347	100	187	2.8	2.8	NUM
aeasj-347	100	188	%	%	NOUN
aeasj-347	100	189	97.8	97.8	NUM
aeasj-347	100	190	%	%	NOUN
aeasj-347	100	191	121	121	NUM
aeasj-347	100	192	1885	1885	NUM
aeasj-347	100	193	94.3	94.3	NUM
aeasj-347	100	194	%	%	NOUN
aeasj-347	100	195	12	12	NUM
aeasj-347	100	196	4	4	NUM
aeasj-347	100	197	395	395	NUM
aeasj-347	100	198	1.0	1.0	NUM
aeasj-347	100	199	%	%	NOUN
aeasj-347	100	200	98.8	98.8	NUM
aeasj-347	100	201	%	%	NOUN
aeasj-347	100	202	48	48	NUM
aeasj-347	100	203	1933	1933	NUM
aeasj-347	100	204	96.7	96.7	NUM
aeasj-347	100	205	%	%	NOUN
aeasj-347	100	206	copyright	copyright	NOUN
aeasj-347	100	207	©	©	PROPN
aeasj-347	100	208	cc	cc	NOUN
aeasj-347	100	209	-	-	PUNCT
aeasj-347	100	210	by	by	ADP
aeasj-347	100	211	-	-	PUNCT
aeasj-347	100	212	nc	nc	PROPN
aeasj-347	100	213	2019	2019	NUM
aeasj-347	100	214	,	,	PUNCT
aeasj-347	100	215	cribfb	cribfb	VERB
aeasj-347	100	216	|	|	ADV
aeasj-347	100	217	aesr	aesr	ADV
aeasj-347	100	218	www.cribfb.com/journal/index.php/aesr	www.cribfb.com/journal/index.php/aesr	VERB
aeasj-347	100	219	american	american	PROPN
aeasj-347	100	220	economic	economic	PROPN
aeasj-347	100	221	&	&	CCONJ
aeasj-347	100	222	social	social	PROPN
aeasj-347	100	223	review	review	PROPN
aeasj-347	100	224	vol	vol	NOUN
aeasj-347	100	225	.	.	PROPN
aeasj-347	101	1	5	5	NUM
aeasj-347	101	2	,	,	PUNCT
aeasj-347	101	3	no	no	INTJ
aeasj-347	101	4	.	.	NOUN
aeasj-347	101	5	2	2	NUM
aeasj-347	101	6	;	;	PUNCT
aeasj-347	101	7	2019	2019	NUM
aeasj-347	101	8	16	16	NUM
aeasj-347	101	9	figure	figure	NOUN
aeasj-347	101	10	1	1	NUM
aeasj-347	101	11	:	:	PUNCT
aeasj-347	101	12	implied	imply	VERB
aeasj-347	101	13	inequality	inequality	NOUN
aeasj-347	101	14	index	index	NOUN
aeasj-347	101	15	iii	iii	NOUN
aeasj-347	101	16	this	this	DET
aeasj-347	101	17	figure	figure	NOUN
aeasj-347	101	18	depicts	depict	VERB
aeasj-347	101	19	the	the	DET
aeasj-347	101	20	information	information	NOUN
aeasj-347	101	21	of	of	ADP
aeasj-347	101	22	table	table	NOUN
aeasj-347	101	23	1	1	NUM
aeasj-347	101	24	.	.	PUNCT
aeasj-347	102	1	the	the	DET
aeasj-347	102	2	implied	imply	VERB
aeasj-347	102	3	inequality	inequality	NOUN
aeasj-347	102	4	index	index	NOUN
aeasj-347	102	5	(	(	PUNCT
aeasj-347	102	6	iii	iii	NOUN
aeasj-347	102	7	)	)	PUNCT
aeasj-347	102	8	and	and	CCONJ
aeasj-347	102	9	the	the	DET
aeasj-347	102	10	relative	relative	ADJ
aeasj-347	102	11	cost	cost	NOUN
aeasj-347	102	12	of	of	ADP
aeasj-347	102	13	equalization	equalization	NOUN
aeasj-347	102	14	are	be	AUX
aeasj-347	102	15	shown	show	VERB
aeasj-347	102	16	as	as	ADP
aeasj-347	102	17	corresponding	correspond	VERB
aeasj-347	102	18	parts	part	NOUN
aeasj-347	102	19	of	of	ADP
aeasj-347	102	20	the	the	DET
aeasj-347	102	21	lorenz	lorenz	PROPN
aeasj-347	102	22	curve	curve	PROPN
aeasj-347	102	23	5	5	NUM
aeasj-347	102	24	.	.	PUNCT
aeasj-347	102	25	deciles	decile	NOUN
aeasj-347	102	26	-	-	PUNCT
aeasj-347	102	27	implied	imply	VERB
aeasj-347	102	28	-	-	PUNCT
aeasj-347	102	29	inequality	inequality	NOUN
aeasj-347	102	30	-	-	PUNCT
aeasj-347	102	31	indices	index	NOUN
aeasj-347	102	32	in	in	ADP
aeasj-347	102	33	this	this	DET
aeasj-347	102	34	section	section	NOUN
aeasj-347	102	35	,	,	PUNCT
aeasj-347	102	36	we	we	PRON
aeasj-347	102	37	will	will	AUX
aeasj-347	102	38	introduce	introduce	VERB
aeasj-347	102	39	deciles	decile	NOUN
aeasj-347	102	40	implied	imply	VERB
aeasj-347	102	41	inequality	inequality	NOUN
aeasj-347	102	42	indices	index	NOUN
aeasj-347	102	43	,	,	PUNCT
aeasj-347	102	44	which	which	PRON
aeasj-347	102	45	can	can	AUX
aeasj-347	102	46	be	be	AUX
aeasj-347	102	47	simply	simply	ADV
aeasj-347	102	48	generalized	generalize	VERB
aeasj-347	102	49	to	to	ADP
aeasj-347	102	50	quantiles	quantile	NOUN
aeasj-347	102	51	or	or	CCONJ
aeasj-347	102	52	percentiles	percentile	NOUN
aeasj-347	102	53	indices	index	NOUN
aeasj-347	102	54	.	.	PUNCT
aeasj-347	103	1	they	they	PRON
aeasj-347	103	2	show	show	VERB
aeasj-347	103	3	how	how	SCONJ
aeasj-347	103	4	much	much	ADJ
aeasj-347	103	5	money	money	NOUN
aeasj-347	103	6	should	should	AUX
aeasj-347	103	7	be	be	AUX
aeasj-347	103	8	transferred	transfer	VERB
aeasj-347	103	9	from	from	ADP
aeasj-347	103	10	the	the	DET
aeasj-347	103	11	upper	upper	ADJ
aeasj-347	103	12	-	-	PUNCT
aeasj-347	103	13	income	income	NOUN
aeasj-347	103	14	deciles	decile	NOUN
aeasj-347	103	15	to	to	ADP
aeasj-347	103	16	the	the	DET
aeasj-347	103	17	lower	low	ADJ
aeasj-347	103	18	deciles	decile	NOUN
aeasj-347	103	19	or	or	CCONJ
aeasj-347	103	20	quantiles	quantile	NOUN
aeasj-347	103	21	or	or	CCONJ
aeasj-347	103	22	percentiles	percentile	NOUN
aeasj-347	103	23	groups	group	NOUN
aeasj-347	103	24	to	to	PART
aeasj-347	103	25	achieve	achieve	VERB
aeasj-347	103	26	the	the	DET
aeasj-347	103	27	desired	desire	VERB
aeasj-347	103	28	distribution	distribution	NOUN
aeasj-347	103	29	of	of	ADP
aeasj-347	103	30	income	income	NOUN
aeasj-347	103	31	.	.	PUNCT
aeasj-347	104	1	as	as	ADP
aeasj-347	104	2	before	before	ADV
aeasj-347	104	3	,	,	PUNCT
aeasj-347	104	4	suppose	suppose	VERB
aeasj-347	104	5	there	there	PRON
aeasj-347	104	6	is	be	VERB
aeasj-347	104	7	a	a	DET
aeasj-347	104	8	personal	personal	ADJ
aeasj-347	104	9	income	income	NOUN
aeasj-347	104	10	υ	υ	NOUN
aeasj-347	104	11	at	at	ADP
aeasj-347	104	12	which	which	PRON
aeasj-347	104	13	a	a	DET
aeasj-347	104	14	decile	decile	NOUN
aeasj-347	104	15	or	or	CCONJ
aeasj-347	104	16	quantile	quantile	NOUN
aeasj-347	104	17	of	of	ADP
aeasj-347	104	18	the	the	DET
aeasj-347	104	19	total	total	ADJ
aeasj-347	104	20	income	income	NOUN
aeasj-347	104	21	of	of	ADP
aeasj-347	104	22	the	the	DET
aeasj-347	104	23	population	population	NOUN
aeasj-347	104	24	belongs	belong	VERB
aeasj-347	104	25	to	to	ADP
aeasj-347	104	26	those	those	PRON
aeasj-347	104	27	who	who	PRON
aeasj-347	104	28	have	have	VERB
aeasj-347	104	29	less	less	ADJ
aeasj-347	104	30	than	than	ADP
aeasj-347	104	31	υ	υ	PROPN
aeasj-347	104	32	,	,	PUNCT
aeasj-347	104	33	and	and	CCONJ
aeasj-347	104	34	the	the	DET
aeasj-347	104	35	other	other	ADJ
aeasj-347	104	36	income	income	NOUN
aeasj-347	104	37	belongs	belong	VERB
aeasj-347	104	38	to	to	ADP
aeasj-347	104	39	those	those	PRON
aeasj-347	104	40	who	who	PRON
aeasj-347	104	41	have	have	VERB
aeasj-347	104	42	a	a	DET
aeasj-347	104	43	higher	high	ADJ
aeasj-347	104	44	income	income	NOUN
aeasj-347	104	45	than	than	ADP
aeasj-347	104	46	υ	υ	PROPN
aeasj-347	104	47	.	.	PUNCT
aeasj-347	104	48	that	that	PRON
aeasj-347	104	49	is	be	AUX
aeasj-347	104	50	for	for	ADP
aeasj-347	104	51	the	the	DET
aeasj-347	104	52	di	di	X
aeasj-347	104	53	(	(	PUNCT
aeasj-347	104	54	ith	ith	NOUN
aeasj-347	104	55	decile	decile	NOUN
aeasj-347	104	56	,	,	PUNCT
aeasj-347	104	57	i=1	i=1	PROPN
aeasj-347	104	58	,	,	PUNCT
aeasj-347	104	59	2	2	NUM
aeasj-347	104	60	,	,	PUNCT
aeasj-347	104	61	…	…	PUNCT
aeasj-347	104	62	,	,	PUNCT
aeasj-347	104	63	10	10	NUM
aeasj-347	104	64	):	):	SYM
aeasj-347	104	65	1	1	NUM
aeasj-347	104	66	2	2	NUM
aeasj-347	104	67	1	1	NUM
aeasj-347	104	68	9	9	NUM
aeasj-347	104	69	(	(	PUNCT
aeasj-347	104	70	)	)	PUNCT
aeasj-347	104	71	(	(	PUNCT
aeasj-347	104	72	)	)	PUNCT
aeasj-347	104	73	...	...	PUNCT
aeasj-347	105	1	(	(	PUNCT
aeasj-347	105	2	)	)	PUNCT
aeasj-347	105	3	v	v	NOUN
aeasj-347	105	4	v	v	NUM
aeasj-347	105	5	wf	wf	PROPN
aeasj-347	105	6	w	w	PROPN
aeasj-347	105	7	dw	dw	PROPN
aeasj-347	105	8	wf	wf	PROPN
aeasj-347	105	9	w	w	PROPN
aeasj-347	105	10	dw	dw	PROPN
aeasj-347	105	11	wf	wf	PROPN
aeasj-347	105	12	w	w	PROPN
aeasj-347	105	13	dw	dw	PROPN
aeasj-347	105	14	v	v	PROPN
aeasj-347	105	15	v	v	NOUN
aeasj-347	105	16			ADJ
aeasj-347	105	17			NOUN
aeasj-347	105	18			NOUN
aeasj-347	105	19			NOUN
aeasj-347	105	20			PROPN
aeasj-347	105	21			X
aeasj-347	105	22			X
aeasj-347	105	23	(	(	PUNCT
aeasj-347	105	24	13	13	NUM
aeasj-347	105	25	)	)	PUNCT
aeasj-347	105	26	by	by	ADP
aeasj-347	105	27	definition	definition	NOUN
aeasj-347	105	28	,	,	PUNCT
aeasj-347	105	29	we	we	PRON
aeasj-347	105	30	have	have	VERB
aeasj-347	105	31	:	:	PUNCT
aeasj-347	105	32	1	1	NUM
aeasj-347	105	33	2	2	NUM
aeasj-347	105	34	1	1	NUM
aeasj-347	105	35	9	9	NUM
aeasj-347	105	36	(	(	PUNCT
aeasj-347	105	37	)	)	PUNCT
aeasj-347	105	38	(	(	PUNCT
aeasj-347	105	39	)	)	PUNCT
aeasj-347	105	40	(	(	PUNCT
aeasj-347	105	41	)	)	PUNCT
aeasj-347	105	42	...	...	PUNCT
aeasj-347	105	43	(	(	PUNCT
aeasj-347	105	44	)	)	PUNCT
aeasj-347	105	45	v	v	NOUN
aeasj-347	105	46	v	v	NUM
aeasj-347	105	47	wf	wf	PROPN
aeasj-347	105	48	w	w	PROPN
aeasj-347	105	49	dw	dw	PROPN
aeasj-347	105	50	wf	wf	PROPN
aeasj-347	105	51	w	w	PROPN
aeasj-347	105	52	dw	dw	PROPN
aeasj-347	105	53	wf	wf	PROPN
aeasj-347	105	54	w	w	PROPN
aeasj-347	105	55	dw	dw	PROPN
aeasj-347	105	56	wf	wf	PROPN
aeasj-347	105	57	w	w	PROPN
aeasj-347	105	58	dw	dw	PROPN
aeasj-347	105	59	v	v	PROPN
aeasj-347	105	60	v	v	NOUN
aeasj-347	105	61			NOUN
aeasj-347	105	62			ADV
aeasj-347	105	63			ADJ
aeasj-347	105	64			NOUN
aeasj-347	105	65			NUM
aeasj-347	105	66			PRON
aeasj-347	105	67			PROPN
aeasj-347	105	68			ADV
aeasj-347	105	69			X
aeasj-347	105	70			NUM
aeasj-347	105	71			PUNCT
aeasj-347	105	72			X
aeasj-347	105	73			PUNCT
aeasj-347	105	74	(	(	PUNCT
aeasj-347	105	75	14	14	NUM
aeasj-347	105	76	)	)	PUNCT
aeasj-347	105	77	that	that	PRON
aeasj-347	105	78	is	be	AUX
aeasj-347	105	79	:	:	PUNCT
aeasj-347	105	80	13	13	NUM
aeasj-347	105	81	3	3	NUM
aeasj-347	105	82	398	398	NUM
aeasj-347	105	83	0.8	0.8	NUM
aeasj-347	105	84	%	%	NOUN
aeasj-347	105	85	99.5	99.5	NUM
aeasj-347	105	86	%	%	NOUN
aeasj-347	105	87	39	39	NUM
aeasj-347	105	88	1972	1972	NUM
aeasj-347	105	89	98.6	98.6	NUM
aeasj-347	105	90	%	%	NOUN
aeasj-347	105	91	1000	1000	NUM
aeasj-347	105	92	14	14	NUM
aeasj-347	105	93	2	2	NUM
aeasj-347	105	94	400	400	NUM
aeasj-347	105	95	0.5	0.5	NUM
aeasj-347	105	96	%	%	NOUN
aeasj-347	105	97	100.0	100.0	NUM
aeasj-347	105	98	%	%	NOUN
aeasj-347	105	99	28	28	NUM
aeasj-347	105	100	2000	2000	NUM
aeasj-347	105	101	100.0	100.0	NUM
aeasj-347	105	102	%	%	NOUN
aeasj-347	105	103	400	400	NUM
aeasj-347	105	104	100	100	NUM
aeasj-347	105	105	%	%	NOUN
aeasj-347	105	106	400	400	NUM
aeasj-347	105	107	2000	2000	NUM
aeasj-347	105	108	2000	2000	NUM
aeasj-347	105	109	copyright	copyright	NOUN
aeasj-347	105	110	©	©	PROPN
aeasj-347	105	111	cc	cc	PROPN
aeasj-347	105	112	-	-	PUNCT
aeasj-347	105	113	by	by	ADP
aeasj-347	105	114	-	-	PUNCT
aeasj-347	105	115	nc	nc	PROPN
aeasj-347	105	116	2019	2019	NUM
aeasj-347	105	117	,	,	PUNCT
aeasj-347	105	118	cribfb	cribfb	VERB
aeasj-347	105	119	|	|	ADV
aeasj-347	105	120	aesr	aesr	ADV
aeasj-347	105	121	www.cribfb.com/journal/index.php/aesr	www.cribfb.com/journal/index.php/aesr	VERB
aeasj-347	105	122	american	american	PROPN
aeasj-347	105	123	economic	economic	PROPN
aeasj-347	105	124	&	&	CCONJ
aeasj-347	105	125	social	social	PROPN
aeasj-347	105	126	review	review	PROPN
aeasj-347	105	127	vol	vol	NOUN
aeasj-347	105	128	.	.	PROPN
aeasj-347	106	1	5	5	NUM
aeasj-347	106	2	,	,	PUNCT
aeasj-347	106	3	no	no	INTJ
aeasj-347	106	4	.	.	NOUN
aeasj-347	106	5	2	2	NUM
aeasj-347	106	6	;	;	PUNCT
aeasj-347	106	7	2019	2019	NUM
aeasj-347	106	8	17	17	NUM
aeasj-347	106	9	1	1	NUM
aeasj-347	106	10	2	2	NUM
aeasj-347	106	11	1	1	NUM
aeasj-347	106	12	9	9	NUM
aeasj-347	106	13	(	(	PUNCT
aeasj-347	106	14	)	)	PUNCT
aeasj-347	106	15	10	10	NUM
aeasj-347	106	16	(	(	PUNCT
aeasj-347	106	17	)	)	PUNCT
aeasj-347	106	18	2	2	NUM
aeasj-347	106	19	10	10	NUM
aeasj-347	106	20	(	(	PUNCT
aeasj-347	106	21	)	)	PUNCT
aeasj-347	106	22	10	10	NUM
aeasj-347	106	23	10	10	NUM
aeasj-347	106	24	v	v	NUM
aeasj-347	106	25	wf	wf	PROPN
aeasj-347	106	26	w	w	PROPN
aeasj-347	106	27	dw	dw	PROPN
aeasj-347	106	28	v	v	PROPN
aeasj-347	106	29	wf	wf	PROPN
aeasj-347	106	30	w	w	PROPN
aeasj-347	106	31	dw	dw	PROPN
aeasj-347	106	32	v	v	PROPN
aeasj-347	106	33	wf	wf	PROPN
aeasj-347	106	34	w	w	PROPN
aeasj-347	106	35	dw	dw	PROPN
aeasj-347	106	36	v	v	NOUN
aeasj-347	106	37			NOUN
aeasj-347	106	38			NOUN
aeasj-347	106	39			NOUN
aeasj-347	106	40			VERB
aeasj-347	106	41			ADV
aeasj-347	106	42			NUM
aeasj-347	107	1			PRON
aeasj-347	107	2			NOUN
aeasj-347	108	1			NOUN
aeasj-347	108	2			X
aeasj-347	108	3			X
aeasj-347	108	4	(	(	PUNCT
aeasj-347	108	5	15	15	NUM
aeasj-347	108	6	)	)	PUNCT
aeasj-347	108	7	on	on	ADP
aeasj-347	108	8	the	the	DET
aeasj-347	108	9	other	other	ADJ
aeasj-347	108	10	hand	hand	NOUN
aeasj-347	108	11	:	:	PUNCT
aeasj-347	108	12	1	1	NUM
aeasj-347	108	13	2	2	NUM
aeasj-347	108	14	1	1	NUM
aeasj-347	108	15	9	9	NUM
aeasj-347	108	16	(	(	PUNCT
aeasj-347	108	17	)	)	PUNCT
aeasj-347	108	18	1	1	NUM
aeasj-347	108	19	10	10	NUM
aeasj-347	108	20	(	(	PUNCT
aeasj-347	108	21	)	)	PUNCT
aeasj-347	108	22	(	(	PUNCT
aeasj-347	108	23	)	)	PUNCT
aeasj-347	108	24	1	1	NUM
aeasj-347	108	25	10	10	NUM
aeasj-347	108	26	(	(	PUNCT
aeasj-347	108	27	)	)	PUNCT
aeasj-347	108	28	(	(	PUNCT
aeasj-347	108	29	)	)	PUNCT
aeasj-347	108	30	1	1	NUM
aeasj-347	108	31	10	10	NUM
aeasj-347	108	32	(	(	PUNCT
aeasj-347	108	33	)	)	PUNCT
aeasj-347	108	34	v	v	ADP
aeasj-347	108	35	wf	wf	PROPN
aeasj-347	108	36	w	w	PROPN
aeasj-347	108	37	dw	dw	PROPN
aeasj-347	108	38	wf	wf	PROPN
aeasj-347	108	39	w	w	PROPN
aeasj-347	108	40	dw	dw	PROPN
aeasj-347	108	41	v	v	PROPN
aeasj-347	108	42	wf	wf	PROPN
aeasj-347	108	43	w	w	PROPN
aeasj-347	108	44	dw	dw	PROPN
aeasj-347	108	45	v	v	PROPN
aeasj-347	108	46	wf	wf	PROPN
aeasj-347	108	47	w	w	PROPN
aeasj-347	108	48	dw	dw	PROPN
aeasj-347	108	49	wf	wf	PROPN
aeasj-347	108	50	w	w	PROPN
aeasj-347	108	51	dw	dw	PROPN
aeasj-347	108	52	v	v	PROPN
aeasj-347	108	53	wf	wf	PROPN
aeasj-347	108	54	w	w	PROPN
aeasj-347	108	55	dw	dw	PROPN
aeasj-347	108	56			VERB
aeasj-347	108	57			ADJ
aeasj-347	108	58			NOUN
aeasj-347	108	59			ADJ
aeasj-347	108	60			NOUN
aeasj-347	108	61			ADV
aeasj-347	108	62			ADJ
aeasj-347	108	63			NOUN
aeasj-347	108	64			PRON
aeasj-347	109	1			PRON
aeasj-347	109	2			NOUN
aeasj-347	109	3			ADP
aeasj-347	109	4			X
aeasj-347	110	1			X
aeasj-347	110	2			X
aeasj-347	111	1			X
aeasj-347	111	2			X
aeasj-347	111	3	(	(	PUNCT
aeasj-347	111	4	16	16	NUM
aeasj-347	111	5	)	)	PUNCT
aeasj-347	111	6	according	accord	VERB
aeasj-347	111	7	to	to	ADP
aeasj-347	111	8	(	(	PUNCT
aeasj-347	111	9	2	2	X
aeasj-347	111	10	)	)	PUNCT
aeasj-347	111	11	these	these	DET
aeasj-347	111	12	points	point	NOUN
aeasj-347	111	13	are	be	AUX
aeasj-347	111	14	on	on	ADP
aeasj-347	111	15	the	the	DET
aeasj-347	111	16	lorenz	lorenz	PROPN
aeasj-347	111	17	curve	curve	NOUN
aeasj-347	111	18	with	with	ADP
aeasj-347	111	19	the	the	DET
aeasj-347	111	20	following	following	ADJ
aeasj-347	111	21	ordered	order	VERB
aeasj-347	111	22	pairs	pair	NOUN
aeasj-347	111	23	:	:	PUNCT
aeasj-347	111	24	(	(	PUNCT
aeasj-347	111	25	(	(	PUNCT
aeasj-347	111	26	)	)	PUNCT
aeasj-347	111	27	,	,	PUNCT
aeasj-347	111	28	10	10	NUM
aeasj-347	111	29	)	)	PUNCT
aeasj-347	111	30	,	,	PUNCT
aeasj-347	111	31	1,2,	1,2,	NUM
aeasj-347	111	32	...	...	PUNCT
aeasj-347	111	33	,10	,10	PUNCT
aeasj-347	111	34	iv	iv	X
aeasj-347	111	35	wf	wf	PROPN
aeasj-347	111	36	w	w	PROPN
aeasj-347	111	37	dw	dw	PROPN
aeasj-347	112	1	i	i	PRON
aeasj-347	112	2	i	i	PRON
aeasj-347	112	3			VERB
aeasj-347	112	4			PROPN
aeasj-347	112	5	(	(	PUNCT
aeasj-347	112	6	17	17	NUM
aeasj-347	112	7	)	)	PUNCT
aeasj-347	112	8	thus	thus	ADV
aeasj-347	112	9	,	,	PUNCT
aeasj-347	112	10	we	we	PRON
aeasj-347	112	11	define	define	VERB
aeasj-347	112	12	decile	decile	NOUN
aeasj-347	112	13	-	-	PUNCT
aeasj-347	112	14	implied	imply	VERB
aeasj-347	112	15	-	-	PUNCT
aeasj-347	112	16	inequality	inequality	NOUN
aeasj-347	112	17	-	-	PUNCT
aeasj-347	112	18	index	index	NOUN
aeasj-347	112	19	(	(	PUNCT
aeasj-347	112	20	diiii	diiii	PROPN
aeasj-347	112	21	)	)	PUNCT
aeasj-347	112	22	as	as	ADP
aeasj-347	112	23	(	(	PUNCT
aeasj-347	112	24	)	)	PUNCT
aeasj-347	112	25	iv	iv	X
aeasj-347	112	26	f	f	PROPN
aeasj-347	112	27	w	w	PROPN
aeasj-347	112	28	dw	dw	PROPN
aeasj-347	112	29			NOUN
aeasj-347	112	30	when	when	SCONJ
aeasj-347	112	31	υi	υi	ADP
aeasj-347	112	32	satisfies	satisfie	NOUN
aeasj-347	112	33	(	(	PUNCT
aeasj-347	112	34	13	13	NUM
aeasj-347	112	35	)	)	PUNCT
aeasj-347	112	36	.	.	PUNCT
aeasj-347	113	1	that	that	PRON
aeasj-347	113	2	is	be	AUX
aeasj-347	113	3	,	,	PUNCT
aeasj-347	113	4	(	(	PUNCT
aeasj-347	113	5	)	)	PUNCT
aeasj-347	114	1	i	i	PRON
aeasj-347	114	2	i	i	PRON
aeasj-347	114	3	v	v	VERB
aeasj-347	114	4	iii	iii	X
aeasj-347	114	5	f	f	PROPN
aeasj-347	114	6	w	w	PROPN
aeasj-347	114	7	dwd	dwd	PROPN
aeasj-347	114	8			VERB
aeasj-347	114	9			NUM
aeasj-347	114	10			ADP
aeasj-347	114	11	when	when	SCONJ
aeasj-347	114	12	v	v	X
aeasj-347	114	13	satisfies	satisfie	NOUN
aeasj-347	114	14	(	(	PUNCT
aeasj-347	114	15	)	)	PUNCT
aeasj-347	114	16	10	10	NUM
aeasj-347	114	17	(	(	PUNCT
aeasj-347	114	18	)	)	PUNCT
aeasj-347	114	19	iv	iv	X
aeasj-347	115	1	wf	wf	PROPN
aeasj-347	115	2	w	w	PROPN
aeasj-347	115	3	dw	dw	PROPN
aeasj-347	116	1	i	i	PRON
aeasj-347	116	2	wf	wf	PROPN
aeasj-347	116	3	w	w	PROPN
aeasj-347	116	4	dw	dw	PROPN
aeasj-347	116	5			VERB
aeasj-347	116	6			ADJ
aeasj-347	116	7			NOUN
aeasj-347	116	8			NUM
aeasj-347	116	9			NOUN
aeasj-347	116	10			PUNCT
aeasj-347	116	11	(	(	PUNCT
aeasj-347	116	12	18	18	NUM
aeasj-347	116	13	)	)	PUNCT
aeasj-347	116	14	to	to	PART
aeasj-347	116	15	find	find	VERB
aeasj-347	116	16	diiii	diiii	NOUN
aeasj-347	116	17	,	,	PUNCT
aeasj-347	116	18	(	(	PUNCT
aeasj-347	116	19	17	17	NUM
aeasj-347	116	20	)	)	PUNCT
aeasj-347	116	21	should	should	AUX
aeasj-347	116	22	be	be	AUX
aeasj-347	116	23	solved	solve	VERB
aeasj-347	116	24	for	for	ADP
aeasj-347	116	25	υi	υi	NOUN
aeasj-347	116	26	,	,	PUNCT
aeasj-347	116	27	and	and	CCONJ
aeasj-347	116	28	its	its	PRON
aeasj-347	116	29	value	value	NOUN
aeasj-347	116	30	be	be	AUX
aeasj-347	116	31	replaced	replace	VERB
aeasj-347	116	32	in	in	ADP
aeasj-347	116	33	(	(	PUNCT
aeasj-347	116	34	18	18	NUM
aeasj-347	116	35	)	)	PUNCT
aeasj-347	116	36	.	.	PUNCT
aeasj-347	117	1	as	as	SCONJ
aeasj-347	117	2	diiii	diiii	NOUN
aeasj-347	117	3	approaches	approach	NOUN
aeasj-347	117	4	i/10	i/10	ADJ
aeasj-347	117	5	,	,	PUNCT
aeasj-347	117	6	distribution	distribution	NOUN
aeasj-347	117	7	becomes	become	VERB
aeasj-347	117	8	more	more	ADV
aeasj-347	117	9	symmetric	symmetric	ADJ
aeasj-347	117	10	.	.	PUNCT
aeasj-347	118	1	if	if	SCONJ
aeasj-347	118	2	diiii	diiii	NOUN
aeasj-347	118	3	tends	tend	VERB
aeasj-347	118	4	to	to	ADP
aeasj-347	118	5	1	1	NUM
aeasj-347	118	6	,	,	PUNCT
aeasj-347	118	7	distribution	distribution	NOUN
aeasj-347	118	8	tends	tend	VERB
aeasj-347	118	9	to	to	PART
aeasj-347	118	10	be	be	AUX
aeasj-347	118	11	fully	fully	ADV
aeasj-347	118	12	right	right	ADV
aeasj-347	118	13	-	-	PUNCT
aeasj-347	118	14	skewed	skewed	ADJ
aeasj-347	118	15	,	,	PUNCT
aeasj-347	118	16	indicating	indicate	VERB
aeasj-347	118	17	high	high	ADJ
aeasj-347	118	18	(	(	PUNCT
aeasj-347	118	19	right	right	ADJ
aeasj-347	118	20	)	)	PUNCT
aeasj-347	118	21	inequality	inequality	NOUN
aeasj-347	118	22	and	and	CCONJ
aeasj-347	118	23	as	as	SCONJ
aeasj-347	118	24	diiii	diiii	NOUN
aeasj-347	118	25	tends	tend	VERB
aeasj-347	118	26	to	to	ADP
aeasj-347	118	27	0	0	NUM
aeasj-347	118	28	,	,	PUNCT
aeasj-347	118	29	distribution	distribution	NOUN
aeasj-347	118	30	tends	tend	VERB
aeasj-347	118	31	to	to	PART
aeasj-347	118	32	be	be	AUX
aeasj-347	118	33	left	leave	VERB
aeasj-347	118	34	-	-	PUNCT
aeasj-347	118	35	skewed	skewed	ADJ
aeasj-347	118	36	,	,	PUNCT
aeasj-347	118	37	and	and	CCONJ
aeasj-347	118	38	distribution	distribution	NOUN
aeasj-347	118	39	tends	tend	VERB
aeasj-347	118	40	to	to	PART
aeasj-347	118	41	left	left	VERB
aeasj-347	118	42	high	high	ADJ
aeasj-347	118	43	inequality	inequality	NOUN
aeasj-347	118	44	.	.	PUNCT
aeasj-347	119	1	the	the	DET
aeasj-347	119	2	values	value	NOUN
aeasj-347	119	3	of	of	ADP
aeasj-347	119	4	diiii	diiii	NOUN
aeasj-347	119	5	less	less	ADJ
aeasj-347	119	6	than	than	ADP
aeasj-347	119	7	i/10	i/10	ADJ
aeasj-347	119	8	,	,	PUNCT
aeasj-347	119	9	however	however	ADV
aeasj-347	119	10	,	,	PUNCT
aeasj-347	119	11	have	have	VERB
aeasj-347	119	12	no	no	DET
aeasj-347	119	13	economic	economic	ADJ
aeasj-347	119	14	implication	implication	NOUN
aeasj-347	119	15	for	for	ADP
aeasj-347	119	16	income	income	NOUN
aeasj-347	119	17	distribution	distribution	NOUN
aeasj-347	119	18	.	.	PUNCT
aeasj-347	120	1	let	let	VERB
aeasj-347	120	2	us	we	PRON
aeasj-347	120	3	define	define	VERB
aeasj-347	120	4	the	the	DET
aeasj-347	120	5	cost	cost	NOUN
aeasj-347	120	6	of	of	ADP
aeasj-347	120	7	equalization	equalization	NOUN
aeasj-347	120	8	policy	policy	NOUN
aeasj-347	120	9	as	as	ADP
aeasj-347	120	10	:	:	PUNCT
aeasj-347	120	11	ci=	ci=	PROPN
aeasj-347	120	12	[	[	X
aeasj-347	120	13	diiii	diiii	NOUN
aeasj-347	120	14	-	-	PUNCT
aeasj-347	120	15	i/10]×n×μ	i/10]×n×μ	NOUN
aeasj-347	120	16	(	(	PUNCT
aeasj-347	120	17	19	19	NUM
aeasj-347	120	18	)	)	PUNCT
aeasj-347	120	19	the	the	DET
aeasj-347	120	20	above	above	ADJ
aeasj-347	120	21	expression	expression	NOUN
aeasj-347	120	22	means	mean	VERB
aeasj-347	120	23	that	that	SCONJ
aeasj-347	120	24	to	to	PART
aeasj-347	120	25	equalize	equalize	VERB
aeasj-347	120	26	the	the	DET
aeasj-347	120	27	distribution	distribution	NOUN
aeasj-347	120	28	of	of	ADP
aeasj-347	120	29	income	income	NOUN
aeasj-347	120	30	without	without	ADP
aeasj-347	120	31	changing	change	VERB
aeasj-347	120	32	the	the	DET
aeasj-347	120	33	average	average	ADJ
aeasj-347	120	34	income	income	NOUN
aeasj-347	120	35	of	of	ADP
aeasj-347	120	36	the	the	DET
aeasj-347	120	37	society	society	NOUN
aeasj-347	120	38	,	,	PUNCT
aeasj-347	120	39	the	the	DET
aeasj-347	120	40	amount	amount	NOUN
aeasj-347	120	41	of	of	ADP
aeasj-347	120	42	ci	ci	NOUN
aeasj-347	120	43	should	should	AUX
aeasj-347	120	44	be	be	AUX
aeasj-347	120	45	transferred	transfer	VERB
aeasj-347	120	46	from	from	ADP
aeasj-347	120	47	higher	high	ADJ
aeasj-347	120	48	income	income	NOUN
aeasj-347	120	49	earner	earner	NOUN
aeasj-347	120	50	to	to	PART
aeasj-347	120	51	lower	low	ADJ
aeasj-347	120	52	income	income	NOUN
aeasj-347	120	53	earner	earner	NOUN
aeasj-347	120	54	(	(	PUNCT
aeasj-347	120	55	lower	low	ADJ
aeasj-347	120	56	than	than	ADP
aeasj-347	120	57	the	the	DET
aeasj-347	120	58	ith	ith	PROPN
aeasj-347	120	59	decile	decile	NOUN
aeasj-347	120	60	)	)	PUNCT
aeasj-347	120	61	,	,	PUNCT
aeasj-347	120	62	where	where	SCONJ
aeasj-347	120	63	n	n	NUM
aeasj-347	120	64	and	and	CCONJ
aeasj-347	120	65	μ	μ	PROPN
aeasj-347	120	66	are	be	AUX
aeasj-347	120	67	the	the	DET
aeasj-347	120	68	population	population	NOUN
aeasj-347	120	69	size	size	NOUN
aeasj-347	120	70	and	and	CCONJ
aeasj-347	120	71	average	average	ADJ
aeasj-347	120	72	income	income	NOUN
aeasj-347	120	73	of	of	ADP
aeasj-347	120	74	the	the	DET
aeasj-347	120	75	society	society	NOUN
aeasj-347	120	76	.	.	PUNCT
aeasj-347	121	1	we	we	PRON
aeasj-347	121	2	may	may	AUX
aeasj-347	121	3	normalize	normalize	VERB
aeasj-347	121	4	this	this	DET
aeasj-347	121	5	index	index	NOUN
aeasj-347	121	6	by	by	ADP
aeasj-347	121	7	dividing	divide	VERB
aeasj-347	121	8	the	the	DET
aeasj-347	121	9	equalization	equalization	NOUN
aeasj-347	121	10	cost	cost	NOUN
aeasj-347	121	11	by	by	ADP
aeasj-347	121	12	total	total	ADJ
aeasj-347	121	13	income	income	NOUN
aeasj-347	121	14	of	of	ADP
aeasj-347	121	15	the	the	DET
aeasj-347	121	16	society	society	NOUN
aeasj-347	121	17	and	and	CCONJ
aeasj-347	121	18	find	find	VERB
aeasj-347	121	19	an	an	DET
aeasj-347	121	20	intersocieties	intersocietie	NOUN
aeasj-347	121	21	comparable	comparable	ADJ
aeasj-347	121	22	index	index	NOUN
aeasj-347	121	23	.	.	PUNCT
aeasj-347	122	1	that	that	PRON
aeasj-347	122	2	is	be	AUX
aeasj-347	122	3	:	:	PUNCT
aeasj-347	122	4	relative	relative	ADJ
aeasj-347	122	5	decile	decile	NOUN
aeasj-347	122	6	cost	cost	NOUN
aeasj-347	122	7	of	of	ADP
aeasj-347	122	8	equalization	equalization	NOUN
aeasj-347	122	9	=	=	PUNCT
aeasj-347	123	1	[	[	X
aeasj-347	123	2	(	(	PUNCT
aeasj-347	123	3	diiii	diiii	NOUN
aeasj-347	123	4	-	-	PUNCT
aeasj-347	123	5	i/10)×n×μ	i/10)×n×μ	NOUN
aeasj-347	123	6	]	]	PUNCT
aeasj-347	123	7	/	/	SYM
aeasj-347	123	8	(	(	PUNCT
aeasj-347	123	9	n×μ	n×μ	PROPN
aeasj-347	123	10	)	)	PUNCT
aeasj-347	123	11	=	=	SYM
aeasj-347	123	12	(	(	PUNCT
aeasj-347	123	13	diiii	diiii	NOUN
aeasj-347	123	14	-	-	PUNCT
aeasj-347	123	15	i/10	i/10	NOUN
aeasj-347	123	16	)	)	PUNCT
aeasj-347	123	17	(	(	PUNCT
aeasj-347	123	18	20	20	X
aeasj-347	123	19	)	)	PUNCT
aeasj-347	123	20	copyright	copyright	NOUN
aeasj-347	123	21	©	©	PROPN
aeasj-347	123	22	cc	cc	PROPN
aeasj-347	123	23	-	-	PUNCT
aeasj-347	123	24	by	by	ADP
aeasj-347	123	25	-	-	PUNCT
aeasj-347	123	26	nc	nc	PROPN
aeasj-347	123	27	2019	2019	NUM
aeasj-347	123	28	,	,	PUNCT
aeasj-347	123	29	cribfb	cribfb	VERB
aeasj-347	123	30	|	|	ADV
aeasj-347	123	31	aesr	aesr	ADV
aeasj-347	123	32	www.cribfb.com/journal/index.php/aesr	www.cribfb.com/journal/index.php/aesr	AUX
aeasj-347	123	33	american	american	PROPN
aeasj-347	123	34	economic	economic	PROPN
aeasj-347	123	35	&	&	CCONJ
aeasj-347	123	36	social	social	PROPN
aeasj-347	123	37	review	review	PROPN
aeasj-347	123	38	vol	vol	NOUN
aeasj-347	123	39	.	.	PROPN
aeasj-347	124	1	5	5	NUM
aeasj-347	124	2	,	,	PUNCT
aeasj-347	124	3	no	no	INTJ
aeasj-347	124	4	.	.	NOUN
aeasj-347	124	5	2	2	NUM
aeasj-347	124	6	;	;	PUNCT
aeasj-347	124	7	2019	2019	NUM
aeasj-347	124	8	18	18	NUM
aeasj-347	124	9	figure	figure	NOUN
aeasj-347	124	10	2	2	NUM
aeasj-347	124	11	.	.	PUNCT
aeasj-347	125	1	the	the	DET
aeasj-347	125	2	deciles	decile	NOUN
aeasj-347	125	3	3	3	NUM
aeasj-347	125	4	and	and	CCONJ
aeasj-347	125	5	8	8	NUM
aeasj-347	125	6	implied	imply	VERB
aeasj-347	125	7	inequality	inequality	NOUN
aeasj-347	125	8	indices	index	NOUN
aeasj-347	125	9	(	(	PUNCT
aeasj-347	125	10	d3iii	d3iii	PRON
aeasj-347	125	11	and	and	CCONJ
aeasj-347	125	12	d8iii	d8iii	NOUN
aeasj-347	125	13	)	)	PUNCT
aeasj-347	125	14	this	this	DET
aeasj-347	125	15	figure	figure	NOUN
aeasj-347	125	16	depicts	depict	VERB
aeasj-347	125	17	the	the	DET
aeasj-347	125	18	two	two	NUM
aeasj-347	125	19	deciles	decile	NOUN
aeasj-347	125	20	(	(	PUNCT
aeasj-347	125	21	3	3	NUM
aeasj-347	125	22	and	and	CCONJ
aeasj-347	125	23	8)	8)	NUM
aeasj-347	125	24	of	of	ADP
aeasj-347	125	25	decile	decile	NOUN
aeasj-347	125	26	implied	imply	VERB
aeasj-347	125	27	inequality	inequality	NOUN
aeasj-347	125	28	indices	index	NOUN
aeasj-347	125	29	and	and	CCONJ
aeasj-347	125	30	the	the	DET
aeasj-347	125	31	relative	relative	ADJ
aeasj-347	125	32	cost	cost	NOUN
aeasj-347	125	33	of	of	ADP
aeasj-347	125	34	equalization	equalization	NOUN
aeasj-347	125	35	as	as	ADP
aeasj-347	125	36	corresponding	corresponding	ADJ
aeasj-347	125	37	parts	part	NOUN
aeasj-347	125	38	of	of	ADP
aeasj-347	125	39	the	the	DET
aeasj-347	125	40	lorenz	lorenz	PROPN
aeasj-347	125	41	curve	curve	NOUN
aeasj-347	125	42	6	6	NUM
aeasj-347	125	43	.	.	PUNCT
aeasj-347	125	44	conclusion	conclusion	NOUN
aeasj-347	125	45	to	to	PART
aeasj-347	125	46	have	have	AUX
aeasj-347	125	47	a	a	DET
aeasj-347	125	48	better	well	ADJ
aeasj-347	125	49	understanding	understanding	NOUN
aeasj-347	125	50	and	and	CCONJ
aeasj-347	125	51	policy	policy	NOUN
aeasj-347	125	52	arrangements	arrangement	NOUN
aeasj-347	125	53	about	about	ADP
aeasj-347	125	54	the	the	DET
aeasj-347	125	55	equality	equality	NOUN
aeasj-347	125	56	of	of	ADP
aeasj-347	125	57	income	income	NOUN
aeasj-347	125	58	distribution	distribution	NOUN
aeasj-347	125	59	,	,	PUNCT
aeasj-347	125	60	it	it	PRON
aeasj-347	125	61	is	be	AUX
aeasj-347	125	62	not	not	PART
aeasj-347	125	63	enough	enough	ADJ
aeasj-347	125	64	to	to	PART
aeasj-347	125	65	know	know	VERB
aeasj-347	125	66	the	the	DET
aeasj-347	125	67	traditional	traditional	ADJ
aeasj-347	125	68	inequality	inequality	NOUN
aeasj-347	125	69	indices	index	NOUN
aeasj-347	125	70	.	.	PUNCT
aeasj-347	126	1	the	the	DET
aeasj-347	126	2	redistribution	redistribution	NOUN
aeasj-347	126	3	policies	policy	NOUN
aeasj-347	126	4	or	or	CCONJ
aeasj-347	126	5	income	income	NOUN
aeasj-347	126	6	distribution	distribution	NOUN
aeasj-347	126	7	monitoring	monitoring	NOUN
aeasj-347	126	8	need	need	VERB
aeasj-347	126	9	to	to	PART
aeasj-347	126	10	deal	deal	VERB
aeasj-347	126	11	with	with	ADP
aeasj-347	126	12	specific	specific	ADJ
aeasj-347	126	13	budget	budget	NOUN
aeasj-347	126	14	guidelines	guideline	NOUN
aeasj-347	126	15	to	to	PART
aeasj-347	126	16	promote	promote	VERB
aeasj-347	126	17	the	the	DET
aeasj-347	126	18	society	society	NOUN
aeasj-347	126	19	to	to	ADP
aeasj-347	126	20	a	a	DET
aeasj-347	126	21	better	well	ADJ
aeasj-347	126	22	distributional	distributional	ADJ
aeasj-347	126	23	position	position	NOUN
aeasj-347	126	24	.	.	PUNCT
aeasj-347	127	1	while	while	SCONJ
aeasj-347	127	2	there	there	PRON
aeasj-347	127	3	are	be	VERB
aeasj-347	127	4	alternative	alternative	ADJ
aeasj-347	127	5	methods	method	NOUN
aeasj-347	127	6	for	for	ADP
aeasj-347	127	7	presenting	present	VERB
aeasj-347	127	8	income	income	NOUN
aeasj-347	127	9	distribution	distribution	NOUN
aeasj-347	127	10	,	,	PUNCT
aeasj-347	127	11	there	there	PRON
aeasj-347	127	12	is	be	VERB
aeasj-347	127	13	no	no	DET
aeasj-347	127	14	best	good	ADJ
aeasj-347	127	15	way	way	NOUN
aeasj-347	127	16	to	to	PART
aeasj-347	127	17	present	present	VERB
aeasj-347	127	18	the	the	DET
aeasj-347	127	19	inequality	inequality	NOUN
aeasj-347	127	20	index	index	NOUN
aeasj-347	127	21	,	,	PUNCT
aeasj-347	127	22	mainly	mainly	ADV
aeasj-347	127	23	concentrating	concentrate	VERB
aeasj-347	127	24	on	on	ADP
aeasj-347	127	25	fiscal	fiscal	ADJ
aeasj-347	127	26	viewpoints	viewpoint	NOUN
aeasj-347	127	27	.	.	PUNCT
aeasj-347	128	1	that	that	PRON
aeasj-347	128	2	is	be	AUX
aeasj-347	128	3	,	,	PUNCT
aeasj-347	128	4	they	they	PRON
aeasj-347	128	5	generally	generally	ADV
aeasj-347	128	6	analyze	analyze	VERB
aeasj-347	128	7	the	the	DET
aeasj-347	128	8	statistical	statistical	ADJ
aeasj-347	128	9	distribution	distribution	NOUN
aeasj-347	128	10	without	without	ADP
aeasj-347	128	11	inferring	infer	VERB
aeasj-347	128	12	about	about	ADP
aeasj-347	128	13	the	the	DET
aeasj-347	128	14	amount	amount	NOUN
aeasj-347	128	15	of	of	ADP
aeasj-347	128	16	fund	fund	NOUN
aeasj-347	128	17	needed	need	VERB
aeasj-347	128	18	to	to	PART
aeasj-347	128	19	promote	promote	VERB
aeasj-347	128	20	income	income	NOUN
aeasj-347	128	21	equality	equality	NOUN
aeasj-347	128	22	.	.	PUNCT
aeasj-347	129	1	the	the	DET
aeasj-347	129	2	view	view	NOUN
aeasj-347	129	3	of	of	ADP
aeasj-347	129	4	this	this	DET
aeasj-347	129	5	paper	paper	NOUN
aeasj-347	129	6	is	be	AUX
aeasj-347	129	7	to	to	PART
aeasj-347	129	8	introduce	introduce	VERB
aeasj-347	129	9	a	a	DET
aeasj-347	129	10	set	set	NOUN
aeasj-347	129	11	of	of	ADP
aeasj-347	129	12	deciles	decile	NOUN
aeasj-347	129	13	implied	imply	VERB
aeasj-347	129	14	inequality	inequality	NOUN
aeasj-347	129	15	indices	index	NOUN
aeasj-347	129	16	,	,	PUNCT
aeasj-347	129	17	which	which	PRON
aeasj-347	129	18	satisfies	satisfy	VERB
aeasj-347	129	19	these	these	DET
aeasj-347	129	20	policy	policy	NOUN
aeasj-347	129	21	implications	implication	NOUN
aeasj-347	129	22	needs	need	VERB
aeasj-347	129	23	.	.	PUNCT
aeasj-347	130	1	the	the	DET
aeasj-347	130	2	designed	design	VERB
aeasj-347	130	3	deciles	decile	NOUN
aeasj-347	130	4	implied	imply	VERB
aeasj-347	130	5	inequality	inequality	NOUN
aeasj-347	130	6	indices	index	NOUN
aeasj-347	130	7	are	be	AUX
aeasj-347	130	8	good	good	ADJ
aeasj-347	130	9	fiscal	fiscal	ADJ
aeasj-347	130	10	guideposts	guidepost	NOUN
aeasj-347	130	11	for	for	ADP
aeasj-347	130	12	monitoring	monitor	VERB
aeasj-347	130	13	or	or	CCONJ
aeasj-347	130	14	performing	perform	VERB
aeasj-347	130	15	equalization	equalization	NOUN
aeasj-347	130	16	policies	policy	NOUN
aeasj-347	130	17	of	of	ADP
aeasj-347	130	18	society	society	NOUN
aeasj-347	130	19	's	's	PART
aeasj-347	130	20	income	income	NOUN
aeasj-347	130	21	.	.	PUNCT
aeasj-347	131	1	references	reference	NOUN
aeasj-347	131	2	atkinson	atkinson	PROPN
aeasj-347	131	3	a.	a.	PROPN
aeasj-347	131	4	b.	b.	PROPN
aeasj-347	131	5	(	(	PUNCT
aeasj-347	131	6	1970	1970	NUM
aeasj-347	131	7	)	)	PUNCT
aeasj-347	131	8	on	on	ADP
aeasj-347	131	9	the	the	DET
aeasj-347	131	10	measurement	measurement	NOUN
aeasj-347	131	11	of	of	ADP
aeasj-347	131	12	inequality	inequality	NOUN
aeasj-347	131	13	,	,	PUNCT
aeasj-347	131	14	journal	journal	NOUN
aeasj-347	131	15	of	of	ADP
aeasj-347	131	16	economic	economic	ADJ
aeasj-347	131	17	theory	theory	NOUN
aeasj-347	131	18	1970	1970	NUM
aeasj-347	131	19	;	;	PUNCT
aeasj-347	131	20	2	2	NUM
aeasj-347	131	21	:	:	SYM
aeasj-347	131	22	244	244	NUM
aeasj-347	131	23	-	-	SYM
aeasj-347	131	24	263	263	NUM
aeasj-347	131	25	.	.	PUNCT
aeasj-347	132	1	bidabad	bidabad	ADJ
aeasj-347	132	2	,	,	PUNCT
aeasj-347	132	3	bijan	bijan	NOUN
aeasj-347	132	4	;	;	PUNCT
aeasj-347	132	5	behrouz	behrouz	ADJ
aeasj-347	132	6	bidabad	bidabad	NOUN
aeasj-347	132	7	(	(	PUNCT
aeasj-347	132	8	2019	2019	NUM
aeasj-347	132	9	)	)	PUNCT
aeasj-347	132	10	,	,	PUNCT
aeasj-347	132	11	functional	functional	ADJ
aeasj-347	132	12	form	form	NOUN
aeasj-347	132	13	for	for	ADP
aeasj-347	132	14	estimating	estimate	VERB
aeasj-347	132	15	the	the	DET
aeasj-347	132	16	lorenz	lorenz	PROPN
aeasj-347	132	17	curve	curve	NOUN
aeasj-347	132	18	.	.	PUNCT
aeasj-347	133	1	american	american	PROPN
aeasj-347	133	2	finance	finance	PROPN
aeasj-347	133	3	&	&	CCONJ
aeasj-347	133	4	banking	banking	PROPN
aeasj-347	133	5	review	review	PROPN
aeasj-347	133	6	,	,	PUNCT
aeasj-347	133	7	4(1	4(1	NOUN
aeasj-347	133	8	)	)	PUNCT
aeasj-347	133	9	,	,	PUNCT
aeasj-347	133	10	17	17	NUM
aeasj-347	133	11	-	-	SYM
aeasj-347	133	12	21	21	NUM
aeasj-347	133	13	.	.	PUNCT
aeasj-347	134	1	https://www.cribfb.com/journal/index.php/amfbr/article/view/286	https://www.cribfb.com/journal/index.php/amfbr/article/view/286	ADJ
aeasj-347	134	2	http://www.bidabad.com/doc/functional-form-lorenz.pdf	http://www.bidabad.com/doc/functional-form-lorenz.pdf	PROPN
aeasj-347	134	3	http://www.bidabad.com/doc/functional-form-lorenz.pptx	http://www.bidabad.com/doc/functional-form-lorenz.pptx	ADJ
aeasj-347	134	4	bidabad	bidabad	NOUN
aeasj-347	134	5	bijan	bijan	PROPN
aeasj-347	134	6	(	(	PUNCT
aeasj-347	134	7	1989a	1989a	NUM
aeasj-347	134	8	)	)	PUNCT
aeasj-347	134	9	“	"	PUNCT
aeasj-347	134	10	discrete	discrete	ADJ
aeasj-347	134	11	and	and	CCONJ
aeasj-347	134	12	continuous	continuous	ADJ
aeasj-347	134	13	l1	l1	PROPN
aeasj-347	134	14	norm	norm	NOUN
aeasj-347	134	15	regressions	regression	NOUN
aeasj-347	134	16	,	,	PUNCT
aeasj-347	134	17	proposition	proposition	NOUN
aeasj-347	134	18	of	of	ADP
aeasj-347	134	19	discrete	discrete	ADJ
aeasj-347	134	20	approximation	approximation	NOUN
aeasj-347	134	21	algorithms	algorithm	NOUN
aeasj-347	134	22	and	and	CCONJ
aeasj-347	134	23	continuous	continuous	ADJ
aeasj-347	134	24	smoothing	smoothing	NOUN
aeasj-347	134	25	of	of	ADP
aeasj-347	134	26	concentration	concentration	NOUN
aeasj-347	134	27	surface	surface	NOUN
aeasj-347	134	28	”	"	PUNCT
aeasj-347	134	29	,	,	PUNCT
aeasj-347	134	30	ph.d	ph.d	PROPN
aeasj-347	134	31	.	.	PUNCT
aeasj-347	135	1	thesis	thesis	PROPN
aeasj-347	135	2	,	,	PUNCT
aeasj-347	135	3	islamic	islamic	PROPN
aeasj-347	135	4	azad	azad	PROPN
aeasj-347	135	5	university	university	PROPN
aeasj-347	135	6	,	,	PUNCT
aeasj-347	135	7	tehran	tehran	PROPN
aeasj-347	135	8	,	,	PUNCT
aeasj-347	135	9	iran	iran	PROPN
aeasj-347	135	10	.	.	PUNCT
aeasj-347	136	1	bidabad	bidabad	PROPN
aeasj-347	136	2	bijan	bijan	PROPN
aeasj-347	136	3	(	(	PUNCT
aeasj-347	136	4	1989b	1989b	NUM
aeasj-347	136	5	)	)	PUNCT
aeasj-347	136	6	“	"	PUNCT
aeasj-347	136	7	discrete	discrete	ADJ
aeasj-347	136	8	and	and	CCONJ
aeasj-347	136	9	continuous	continuous	ADJ
aeasj-347	136	10	l1	l1	PROPN
aeasj-347	136	11	norm	norm	NOUN
aeasj-347	136	12	regressions	regression	NOUN
aeasj-347	136	13	,	,	PUNCT
aeasj-347	136	14	proposition	proposition	NOUN
aeasj-347	136	15	of	of	ADP
aeasj-347	136	16	discrete	discrete	ADJ
aeasj-347	136	17	approximation	approximation	NOUN
aeasj-347	136	18	algorithms	algorithm	NOUN
aeasj-347	136	19	and	and	CCONJ
aeasj-347	136	20	continuous	continuous	ADJ
aeasj-347	136	21	smoothing	smoothing	NOUN
aeasj-347	136	22	of	of	ADP
aeasj-347	136	23	concentration	concentration	NOUN
aeasj-347	136	24	surface	surface	NOUN
aeasj-347	136	25	”	"	PUNCT
aeasj-347	136	26	,	,	PUNCT
aeasj-347	136	27	ph.d	ph.d	PROPN
aeasj-347	136	28	.	.	PUNCT
aeasj-347	137	1	thesis	thesis	PROPN
aeasj-347	137	2	,	,	PUNCT
aeasj-347	137	3	islamic	islamic	PROPN
aeasj-347	137	4	azad	azad	PROPN
aeasj-347	137	5	university	university	PROPN
aeasj-347	137	6	,	,	PUNCT
aeasj-347	137	7	tehran	tehran	PROPN
aeasj-347	137	8	,	,	PUNCT
aeasj-347	137	9	iran	iran	PROPN
aeasj-347	137	10	.	.	PUNCT
aeasj-347	138	1	persian	persian	ADJ
aeasj-347	138	2	translation	translation	NOUN
aeasj-347	138	3	.	.	PUNCT
aeasj-347	139	1	0	0	NUM
aeasj-347	139	2	%	%	NOUN
aeasj-347	139	3	10	10	NUM
aeasj-347	139	4	%	%	NOUN
aeasj-347	139	5	20	20	NUM
aeasj-347	139	6	%	%	NOUN
aeasj-347	139	7	30	30	NUM
aeasj-347	139	8	%	%	NOUN
aeasj-347	139	9	40	40	NUM
aeasj-347	139	10	%	%	NOUN
aeasj-347	139	11	50	50	NUM
aeasj-347	139	12	%	%	NOUN
aeasj-347	139	13	60	60	NUM
aeasj-347	139	14	%	%	NOUN
aeasj-347	139	15	70	70	NUM
aeasj-347	139	16	%	%	NOUN
aeasj-347	139	17	80	80	NUM
aeasj-347	139	18	%	%	NOUN
aeasj-347	139	19	90	90	NUM
aeasj-347	139	20	%	%	NOUN
aeasj-347	139	21	100	100	NUM
aeasj-347	139	22	%	%	NOUN
aeasj-347	139	23	0	0	NUM
aeasj-347	139	24	%	%	NOUN
aeasj-347	139	25	10	10	NUM
aeasj-347	139	26	%	%	NOUN
aeasj-347	139	27	20	20	NUM
aeasj-347	139	28	%	%	NOUN
aeasj-347	139	29	30	30	NUM
aeasj-347	139	30	%	%	NOUN
aeasj-347	139	31	40	40	NUM
aeasj-347	139	32	%	%	NOUN
aeasj-347	139	33	50	50	NUM
aeasj-347	139	34	%	%	NOUN
aeasj-347	139	35	60	60	NUM
aeasj-347	139	36	%	%	NOUN
aeasj-347	139	37	70	70	NUM
aeasj-347	139	38	%	%	NOUN
aeasj-347	139	39	80	80	NUM
aeasj-347	139	40	%	%	NOUN
aeasj-347	139	41	90	90	NUM
aeasj-347	139	42	%	%	NOUN
aeasj-347	139	43	100	100	NUM
aeasj-347	139	44	%	%	NOUN
aeasj-347	139	45	lorenz	lorenz	PROPN
aeasj-347	139	46	curve	curve	PROPN
aeasj-347	139	47	d3iii=0.5	d3iii=0.5	PROPN
aeasj-347	139	48	relative	relative	ADJ
aeasj-347	139	49	cost	cost	NOUN
aeasj-347	139	50	of	of	ADP
aeasj-347	139	51	equalization	equalization	NOUN
aeasj-347	139	52	0.2	0.2	NUM
aeasj-347	139	53	0.3	0.3	NUM
aeasj-347	139	54	d8iii=0.9	d8iii=0.9	NOUN
aeasj-347	139	55	0.1	0.1	NUM
aeasj-347	139	56	0.8	0.8	NUM
aeasj-347	139	57	https://www.cribfb.com/journal/index.php/amfbr/article/view/286	https://www.cribfb.com/journal/index.php/amfbr/article/view/286	ADJ
aeasj-347	139	58	http://www.bidabad.com/doc/functional-form-lorenz.pdf	http://www.bidabad.com/doc/functional-form-lorenz.pdf	PROPN
aeasj-347	139	59	http://www.bidabad.com/doc/functional-form-lorenz.pptx	http://www.bidabad.com/doc/functional-form-lorenz.pptx	NOUN
aeasj-347	139	60	copyright	copyright	NOUN
aeasj-347	139	61	©	©	PROPN
aeasj-347	139	62	cc	cc	PROPN
aeasj-347	139	63	-	-	PUNCT
aeasj-347	139	64	by	by	ADP
aeasj-347	139	65	-	-	PUNCT
aeasj-347	139	66	nc	nc	PROPN
aeasj-347	139	67	2019	2019	NUM
aeasj-347	139	68	,	,	PUNCT
aeasj-347	139	69	cribfb	cribfb	VERB
aeasj-347	139	70	|	|	ADV
aeasj-347	139	71	aesr	aesr	ADV
aeasj-347	139	72	www.cribfb.com/journal/index.php/aesr	www.cribfb.com/journal/index.php/aesr	VERB
aeasj-347	139	73	american	american	PROPN
aeasj-347	139	74	economic	economic	PROPN
aeasj-347	139	75	&	&	CCONJ
aeasj-347	139	76	social	social	PROPN
aeasj-347	139	77	review	review	PROPN
aeasj-347	139	78	vol	vol	NOUN
aeasj-347	139	79	.	.	PROPN
aeasj-347	140	1	5	5	NUM
aeasj-347	140	2	,	,	PUNCT
aeasj-347	140	3	no	no	INTJ
aeasj-347	140	4	.	.	NOUN
aeasj-347	140	5	2	2	NUM
aeasj-347	140	6	;	;	PUNCT
aeasj-347	140	7	2019	2019	NUM
aeasj-347	140	8	19	19	NUM
aeasj-347	140	9	bidabad	bidabad	NOUN
aeasj-347	140	10	,	,	PUNCT
aeasj-347	140	11	bijan	bijan	PROPN
aeasj-347	140	12	(	(	PUNCT
aeasj-347	140	13	2019	2019	NUM
aeasj-347	140	14	)	)	PUNCT
aeasj-347	140	15	continuous	continuous	ADJ
aeasj-347	140	16	l1	l1	PROPN
aeasj-347	140	17	norm	norm	NOUN
aeasj-347	140	18	estimation	estimation	NOUN
aeasj-347	140	19	of	of	ADP
aeasj-347	140	20	lorenz	lorenz	PROPN
aeasj-347	140	21	curve	curve	PROPN
aeasj-347	140	22	.	.	PUNCT
aeasj-347	141	1	bangladesh	bangladesh	PROPN
aeasj-347	141	2	journal	journal	PROPN
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aeasj-347	141	4	multidisciplinary	multidisciplinary	ADJ
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aeasj-347	141	6	research	research	NOUN
aeasj-347	141	7	,	,	PUNCT
aeasj-347	141	8	vol	vol	NOUN
aeasj-347	141	9	.	.	PROPN
aeasj-347	141	10	1	1	NUM
aeasj-347	141	11	,	,	PUNCT
aeasj-347	141	12	no	no	INTJ
aeasj-347	141	13	.	.	NOUN
aeasj-347	141	14	1	1	NUM
aeasj-347	141	15	,	,	PUNCT
aeasj-347	141	16	pp	pp	ADJ
aeasj-347	141	17	.	.	PUNCT
aeasj-347	142	1	41	41	NUM
aeasj-347	142	2	-	-	SYM
aeasj-347	142	3	49	49	NUM
aeasj-347	142	4	.	.	PUNCT
aeasj-347	143	1	http://www.bidabad.com/doc/l1-articl4.pdf	http://www.bidabad.com/doc/l1-articl4.pdf	VERB
aeasj-347	143	2	https://www.cribfb.com/journal/index.php/bjmsr/article/view/314	https://www.cribfb.com/journal/index.php/bjmsr/article/view/314	PROPN
aeasj-347	143	3	bidabad	bidabad	NOUN
aeasj-347	143	4	,	,	PUNCT
aeasj-347	143	5	bijan	bijan	PROPN
aeasj-347	143	6	(	(	PUNCT
aeasj-347	143	7	2019	2019	NUM
aeasj-347	143	8	)	)	PUNCT
aeasj-347	143	9	estimating	estimate	VERB
aeasj-347	143	10	lorenz	lorenz	PROPN
aeasj-347	143	11	curve	curve	NOUN
aeasj-347	143	12	for	for	ADP
aeasj-347	143	13	iran	iran	PROPN
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aeasj-347	143	15	using	use	VERB
aeasj-347	143	16	continuous	continuous	ADJ
aeasj-347	143	17	l1	l1	PROPN
aeasj-347	143	18	norm	norm	NOUN
aeasj-347	143	19	estimation	estimation	PROPN
aeasj-347	143	20	,	,	PUNCT
aeasj-347	143	21	international	international	ADJ
aeasj-347	143	22	journal	journal	NOUN
aeasj-347	143	23	of	of	ADP
aeasj-347	143	24	marketing	marketing	NOUN
aeasj-347	143	25	research	research	NOUN
aeasj-347	143	26	innovation	innovation	NOUN
aeasj-347	143	27	,	,	PUNCT
aeasj-347	143	28	3(1	3(1	NUM
aeasj-347	143	29	)	)	PUNCT
aeasj-347	143	30	,	,	PUNCT
aeasj-347	143	31	11	11	NUM
aeasj-347	143	32	-	-	SYM
aeasj-347	143	33	21	21	NUM
aeasj-347	143	34	.	.	PUNCT
aeasj-347	144	1	https://www.cribfb.com/journal/index.php/ijmri/article/view/322	https://www.cribfb.com/journal/index.php/ijmri/article/view/322	PROPN
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aeasj-347	144	3	bidabad	bidabad	NOUN
aeasj-347	144	4	,	,	PUNCT
aeasj-347	144	5	bijan	bijan	PROPN
aeasj-347	144	6	(	(	PUNCT
aeasj-347	144	7	2019	2019	NUM
aeasj-347	144	8	)	)	PUNCT
aeasj-347	144	9	usa	usa	PROPN
aeasj-347	144	10	income	income	PROPN
aeasj-347	144	11	distribution	distribution	NOUN
aeasj-347	144	12	counter	counter	NOUN
aeasj-347	144	13	-	-	NOUN
aeasj-347	144	14	business	business	NOUN
aeasj-347	144	15	-	-	PUNCT
aeasj-347	144	16	cyclical	cyclical	ADJ
aeasj-347	144	17	trend	trend	NOUN
aeasj-347	144	18	(	(	PUNCT
aeasj-347	144	19	estimating	estimate	VERB
aeasj-347	144	20	lorenz	lorenz	PROPN
aeasj-347	144	21	curve	curve	NOUN
aeasj-347	144	22	using	use	VERB
aeasj-347	144	23	continuous	continuous	ADJ
aeasj-347	144	24	l1	l1	PROPN
aeasj-347	144	25	norm	norm	NOUN
aeasj-347	144	26	estimation	estimation	PROPN
aeasj-347	144	27	)	)	PUNCT
aeasj-347	144	28	.	.	PUNCT
aeasj-347	145	1	first	first	ADJ
aeasj-347	145	2	meeting	meeting	NOUN
aeasj-347	145	3	of	of	ADP
aeasj-347	145	4	the	the	DET
aeasj-347	145	5	society	society	NOUN
aeasj-347	145	6	for	for	ADP
aeasj-347	145	7	the	the	DET
aeasj-347	145	8	study	study	NOUN
aeasj-347	145	9	of	of	ADP
aeasj-347	145	10	economic	economic	ADJ
aeasj-347	145	11	inequality	inequality	NOUN
aeasj-347	145	12	(	(	PUNCT
aeasj-347	145	13	ecineq	ecineq	PROPN
aeasj-347	145	14	)	)	PUNCT
aeasj-347	145	15	,	,	PUNCT
aeasj-347	145	16	palma	palma	PROPN
aeasj-347	145	17	de	de	PROPN
aeasj-347	145	18	mallorca	mallorca	PROPN
aeasj-347	145	19	,	,	PUNCT
aeasj-347	145	20	spain	spain	PROPN
aeasj-347	145	21	,	,	PUNCT
aeasj-347	145	22	july	july	PROPN
aeasj-347	145	23	20	20	NUM
aeasj-347	145	24	-	-	SYM
aeasj-347	145	25	22	22	NUM
aeasj-347	145	26	,	,	PUNCT
aeasj-347	145	27	2005	2005	NUM
aeasj-347	145	28	.	.	PUNCT
aeasj-347	146	1	http://www.bidabad.com/doc/estimating-lorenz-us.pdf	http://www.bidabad.com/doc/estimating-lorenz-us.pdf	PROPN
aeasj-347	146	2	bidabad	bidabad	PROPN
aeasj-347	146	3	,	,	PUNCT
aeasj-347	146	4	bijan	bijan	PROPN
aeasj-347	146	5	,	,	PUNCT
aeasj-347	146	6	hamid	hamid	PROPN
aeasj-347	146	7	shahrestani	shahrestani	PROPN
aeasj-347	146	8	(	(	PUNCT
aeasj-347	146	9	2010	2010	NUM
aeasj-347	146	10	)	)	PUNCT
aeasj-347	146	11	an	an	DET
aeasj-347	146	12	implied	imply	VERB
aeasj-347	146	13	inequality	inequality	NOUN
aeasj-347	146	14	index	index	NOUN
aeasj-347	146	15	using	use	VERB
aeasj-347	146	16	l1	l1	PROPN
aeasj-347	146	17	norm	norm	NOUN
aeasj-347	146	18	estimation	estimation	NOUN
aeasj-347	146	19	of	of	ADP
aeasj-347	146	20	lorenz	lorenz	PROPN
aeasj-347	146	21	curve	curve	PROPN
aeasj-347	146	22	.	.	PUNCT
aeasj-347	147	1	global	global	ADJ
aeasj-347	147	2	conference	conference	NOUN
aeasj-347	147	3	on	on	ADP
aeasj-347	147	4	business	business	NOUN
aeasj-347	147	5	and	and	CCONJ
aeasj-347	147	6	finance	finance	NOUN
aeasj-347	147	7	proceedings	proceeding	NOUN
aeasj-347	147	8	.	.	PUNCT
aeasj-347	148	1	mercedes	mercede	NOUN
aeasj-347	148	2	jalbert	jalbert	PROPN
aeasj-347	148	3	,	,	PUNCT
aeasj-347	148	4	managing	managing	NOUN
aeasj-347	148	5	editor	editor	NOUN
aeasj-347	148	6	,	,	PUNCT
aeasj-347	148	7	issn	issn	PROPN
aeasj-347	148	8	19310285	19310285	NUM
aeasj-347	148	9	cd	cd	PROPN
aeasj-347	148	10	,	,	PUNCT
aeasj-347	148	11	issn	issn	PROPN
aeasj-347	148	12	1941	1941	NUM
aeasj-347	148	13	-	-	SYM
aeasj-347	148	14	9589	9589	NUM
aeasj-347	148	15	online	online	NOUN
aeasj-347	148	16	,	,	PUNCT
aeasj-347	148	17	volume	volume	NOUN
aeasj-347	148	18	3	3	NUM
aeasj-347	148	19	,	,	PUNCT
aeasj-347	148	20	number	number	NOUN
aeasj-347	148	21	2	2	NUM
aeasj-347	148	22	,	,	PUNCT
aeasj-347	148	23	2008	2008	NUM
aeasj-347	148	24	,	,	PUNCT
aeasj-347	148	25	the	the	DET
aeasj-347	148	26	institute	institute	NOUN
aeasj-347	148	27	for	for	ADP
aeasj-347	148	28	business	business	NOUN
aeasj-347	148	29	and	and	CCONJ
aeasj-347	148	30	finance	finance	NOUN
aeasj-347	148	31	research	research	NOUN
aeasj-347	148	32	,	,	PUNCT
aeasj-347	148	33	ramada	ramada	PROPN
aeasj-347	148	34	plaza	plaza	PROPN
aeasj-347	148	35	herradura	herradura	NOUN
aeasj-347	148	36	,	,	PUNCT
aeasj-347	148	37	san	san	PROPN
aeasj-347	148	38	jose	jose	PROPN
aeasj-347	148	39	,	,	PUNCT
aeasj-347	148	40	costa	costa	PROPN
aeasj-347	148	41	rica	rica	PROPN
aeasj-347	148	42	,	,	PUNCT
aeasj-347	148	43	may	may	AUX
aeasj-347	148	44	28	28	NUM
aeasj-347	148	45	-	-	SYM
aeasj-347	148	46	31	31	NUM
aeasj-347	148	47	,	,	PUNCT
aeasj-347	148	48	2008	2008	NUM
aeasj-347	148	49	,	,	PUNCT
aeasj-347	148	50	pp	pp	ADJ
aeasj-347	148	51	.	.	PUNCT
aeasj-347	149	1	148	148	NUM
aeasj-347	149	2	-	-	SYM
aeasj-347	149	3	163	163	NUM
aeasj-347	149	4	.	.	PUNCT
aeasj-347	150	1	global	global	ADJ
aeasj-347	150	2	journal	journal	PROPN
aeasj-347	150	3	of	of	ADP
aeasj-347	150	4	business	business	NOUN
aeasj-347	150	5	research	research	NOUN
aeasj-347	150	6	,	,	PUNCT
aeasj-347	150	7	vol	vol	NOUN
aeasj-347	150	8	.	.	PROPN
aeasj-347	150	9	4	4	NUM
aeasj-347	150	10	,	,	PUNCT
aeasj-347	150	11	no	no	INTJ
aeasj-347	150	12	.	.	NOUN
aeasj-347	150	13	1	1	NUM
aeasj-347	150	14	,	,	PUNCT
aeasj-347	150	15	2010	2010	NUM
aeasj-347	150	16	,	,	PUNCT
aeasj-347	150	17	pp.29	pp.29	NOUN
aeasj-347	150	18	-	-	PUNCT
aeasj-347	150	19	45	45	NUM
aeasj-347	150	20	.	.	PUNCT
aeasj-347	151	1	http://www.bidabad.com/doc/l1-implied-inequality-index-4.pdf	http://www.bidabad.com/doc/l1-implied-inequality-index-4.pdf	PROPN
aeasj-347	151	2	cowell	cowell	PROPN
aeasj-347	151	3	f.a	f.a	PROPN
aeasj-347	151	4	.	.	PROPN
aeasj-347	152	1	(	(	PUNCT
aeasj-347	152	2	1977	1977	NUM
aeasj-347	152	3	)	)	PUNCT
aeasj-347	152	4	measuring	measure	VERB
aeasj-347	152	5	inequality	inequality	NOUN
aeasj-347	152	6	.	.	PUNCT
aeasj-347	153	1	oxford	oxford	PROPN
aeasj-347	153	2	:	:	PUNCT
aeasj-347	153	3	philip	philip	PROPN
aeasj-347	153	4	allan	allan	PROPN
aeasj-347	153	5	.	.	PUNCT
aeasj-347	154	1	cramer	cramer	PROPN
aeasj-347	154	2	j.s	j.s	PROPN
aeasj-347	154	3	.	.	PUNCT
aeasj-347	155	1	(	(	PUNCT
aeasj-347	155	2	1973	1973	NUM
aeasj-347	155	3	)	)	PUNCT
aeasj-347	155	4	empirical	empirical	ADJ
aeasj-347	155	5	econometrics	econometric	NOUN
aeasj-347	155	6	.	.	PUNCT
aeasj-347	156	1	north	north	NOUN
aeasj-347	156	2	-	-	PUNCT
aeasj-347	156	3	holland	holland	PROPN
aeasj-347	156	4	,	,	PUNCT
aeasj-347	156	5	amsterdam	amsterdam	PROPN
aeasj-347	156	6	.	.	PUNCT
aeasj-347	157	1	gupta	gupta	PROPN
aeasj-347	157	2	,	,	PUNCT
aeasj-347	157	3	m.r	m.r	PROPN
aeasj-347	157	4	.	.	PROPN
aeasj-347	157	5	(	(	PUNCT
aeasj-347	157	6	1984	1984	NUM
aeasj-347	157	7	)	)	PUNCT
aeasj-347	157	8	functional	functional	ADJ
aeasj-347	157	9	forms	form	NOUN
aeasj-347	157	10	for	for	ADP
aeasj-347	157	11	estimating	estimate	VERB
aeasj-347	157	12	the	the	DET
aeasj-347	157	13	lorenz	lorenz	PROPN
aeasj-347	157	14	curve	curve	NOUN
aeasj-347	157	15	,	,	PUNCT
aeasj-347	157	16	econometrica	econometrica	PROPN
aeasj-347	157	17	,	,	PUNCT
aeasj-347	157	18	52	52	NUM
aeasj-347	157	19	,	,	PUNCT
aeasj-347	157	20	1313	1313	NUM
aeasj-347	157	21	-	-	SYM
aeasj-347	157	22	1314	1314	NUM
aeasj-347	157	23	.	.	PUNCT
aeasj-347	158	1	kakwani	kakwani	PROPN
aeasj-347	158	2	,	,	PUNCT
aeasj-347	158	3	n.c	n.c	PROPN
aeasj-347	158	4	.	.	PROPN
aeasj-347	158	5	(	(	PUNCT
aeasj-347	158	6	1980	1980	NUM
aeasj-347	158	7	)	)	PUNCT
aeasj-347	158	8	income	income	NOUN
aeasj-347	158	9	inequality	inequality	NOUN
aeasj-347	158	10	and	and	CCONJ
aeasj-347	158	11	poverty	poverty	NOUN
aeasj-347	158	12	,	,	PUNCT
aeasj-347	158	13	new	new	PROPN
aeasj-347	158	14	york	york	PROPN
aeasj-347	158	15	,	,	PUNCT
aeasj-347	158	16	oxford	oxford	PROPN
aeasj-347	158	17	university	university	PROPN
aeasj-347	158	18	press	press	NOUN
aeasj-347	158	19	.	.	PUNCT
aeasj-347	159	1	kakwani	kakwani	PROPN
aeasj-347	159	2	,	,	PUNCT
aeasj-347	159	3	n.c	n.c	PROPN
aeasj-347	159	4	.	.	PROPN
aeasj-347	159	5	(	(	PUNCT
aeasj-347	159	6	1980	1980	NUM
aeasj-347	159	7	)	)	PUNCT
aeasj-347	159	8	functional	functional	ADJ
aeasj-347	159	9	forms	form	NOUN
aeasj-347	159	10	for	for	ADP
aeasj-347	159	11	estimating	estimate	VERB
aeasj-347	159	12	the	the	DET
aeasj-347	159	13	lorenz	lorenz	PROPN
aeasj-347	159	14	curve	curve	NOUN
aeasj-347	159	15	:	:	PUNCT
aeasj-347	159	16	a	a	DET
aeasj-347	159	17	reply	reply	NOUN
aeasj-347	159	18	,	,	PUNCT
aeasj-347	159	19	econometrica	econometrica	PROPN
aeasj-347	159	20	,	,	PUNCT
aeasj-347	159	21	48	48	NUM
aeasj-347	159	22	,	,	PUNCT
aeasj-347	159	23	1063	1063	NUM
aeasj-347	159	24	-	-	SYM
aeasj-347	159	25	64	64	NUM
aeasj-347	159	26	.	.	PUNCT
aeasj-347	160	1	kakwani	kakwani	PROPN
aeasj-347	160	2	,	,	PUNCT
aeasj-347	160	3	n.c	n.c	PROPN
aeasj-347	160	4	.	.	PROPN
aeasj-347	160	5	&	&	CCONJ
aeasj-347	160	6	podder	podder	PROPN
aeasj-347	160	7	,	,	PUNCT
aeasj-347	160	8	n	n	CCONJ
aeasj-347	160	9	(	(	PUNCT
aeasj-347	160	10	1976	1976	NUM
aeasj-347	160	11	)	)	PUNCT
aeasj-347	160	12	efficient	efficient	ADJ
aeasj-347	160	13	estimation	estimation	NOUN
aeasj-347	160	14	of	of	ADP
aeasj-347	160	15	the	the	DET
aeasj-347	160	16	lorenz	lorenz	PROPN
aeasj-347	160	17	curve	curve	NOUN
aeasj-347	160	18	and	and	CCONJ
aeasj-347	160	19	associated	associated	ADJ
aeasj-347	160	20	inequality	inequality	NOUN
aeasj-347	160	21	measures	measure	NOUN
aeasj-347	160	22	from	from	ADP
aeasj-347	160	23	grouped	group	VERB
aeasj-347	160	24	observations	observation	NOUN
aeasj-347	160	25	.	.	PUNCT
aeasj-347	161	1	econometrica	econometrica	PROPN
aeasj-347	161	2	44	44	NUM
aeasj-347	161	3	,	,	PUNCT
aeasj-347	161	4	137	137	NUM
aeasj-347	161	5	-	-	SYM
aeasj-347	161	6	148	148	NUM
aeasj-347	161	7	.	.	PUNCT
aeasj-347	162	1	kendall	kendall	PROPN
aeasj-347	162	2	,	,	PUNCT
aeasj-347	162	3	m.	m.	PROPN
aeasj-347	162	4	&	&	CCONJ
aeasj-347	162	5	stuart	stuart	PROPN
aeasj-347	162	6	,	,	PUNCT
aeasj-347	162	7	a.	a.	PROPN
aeasj-347	162	8	(	(	PUNCT
aeasj-347	162	9	1977	1977	NUM
aeasj-347	162	10	)	)	PUNCT
aeasj-347	162	11	the	the	DET
aeasj-347	162	12	advanced	advanced	ADJ
aeasj-347	162	13	theory	theory	NOUN
aeasj-347	162	14	of	of	ADP
aeasj-347	162	15	statistics	statistic	NOUN
aeasj-347	162	16	,	,	PUNCT
aeasj-347	162	17	vol.1	vol.1	PROPN
aeasj-347	162	18	,	,	PUNCT
aeasj-347	162	19	charles	charles	PROPN
aeasj-347	162	20	griffin	griffin	PROPN
aeasj-347	162	21	&	&	CCONJ
aeasj-347	162	22	co.	co.	PROPN
aeasj-347	162	23	,	,	PUNCT
aeasj-347	162	24	london	london	PROPN
aeasj-347	162	25	.	.	PUNCT
aeasj-347	162	26	mills	mills	PROPN
aeasj-347	162	27	,	,	PUNCT
aeasj-347	162	28	jeffrey	jeffrey	PROPN
aeasj-347	162	29	&	&	CCONJ
aeasj-347	162	30	sourush	sourush	PROPN
aeasj-347	162	31	,	,	PUNCT
aeasj-347	162	32	a.	a.	NOUN
aeasj-347	162	33	(	(	PUNCT
aeasj-347	162	34	1997)statistical	1997)statistical	NUM
aeasj-347	162	35	inference	inference	NOUN
aeasj-347	162	36	via	via	ADP
aeasj-347	162	37	bootstrapping	bootstrappe	VERB
aeasj-347	162	38	for	for	ADP
aeasj-347	162	39	measures	measure	NOUN
aeasj-347	162	40	of	of	ADP
aeasj-347	162	41	inequality	inequality	NOUN
aeasj-347	162	42	,	,	PUNCT
aeasj-347	162	43	journal	journal	NOUN
aeasj-347	162	44	of	of	ADP
aeasj-347	162	45	applied	apply	VERB
aeasj-347	162	46	economics,12:133	economics,12:133	NOUN
aeasj-347	162	47	-	-	PUNCT
aeasj-347	162	48	150	150	NUM
aeasj-347	162	49	.	.	PUNCT
aeasj-347	163	1	rasche	rasche	PROPN
aeasj-347	163	2	,	,	PUNCT
aeasj-347	163	3	r.h	r.h	PROPN
aeasj-347	163	4	.	.	PROPN
aeasj-347	163	5	,	,	PUNCT
aeasj-347	163	6	gaffney	gaffney	PROPN
aeasj-347	163	7	,	,	PUNCT
aeasj-347	163	8	j.	j.	PROPN
aeasj-347	163	9	,	,	PUNCT
aeasj-347	163	10	koo	koo	PROPN
aeasj-347	163	11	,	,	PUNCT
aeasj-347	163	12	a.y.c	a.y.c	PROPN
aeasj-347	163	13	.	.	PROPN
aeasj-347	163	14	&	&	CCONJ
aeasj-347	163	15	obst	obst	PROPN
aeasj-347	163	16	,	,	PUNCT
aeasj-347	163	17	n.	n.	PROPN
aeasj-347	163	18	(	(	PUNCT
aeasj-347	163	19	1980	1980	NUM
aeasj-347	163	20	)	)	PUNCT
aeasj-347	163	21	functional	functional	ADJ
aeasj-347	163	22	forms	form	NOUN
aeasj-347	163	23	for	for	ADP
aeasj-347	163	24	estimating	estimate	VERB
aeasj-347	163	25	the	the	DET
aeasj-347	163	26	lorenz	lorenz	PROPN
aeasj-347	163	27	curve	curve	NOUN
aeasj-347	163	28	,	,	PUNCT
aeasj-347	163	29	econometrica	econometrica	PROPN
aeasj-347	163	30	,	,	PUNCT
aeasj-347	163	31	48	48	NUM
aeasj-347	163	32	,	,	PUNCT
aeasj-347	163	33	1061	1061	NUM
aeasj-347	163	34	-	-	SYM
aeasj-347	163	35	1062	1062	NUM
aeasj-347	163	36	.	.	PUNCT
aeasj-347	164	1	salem	salem	NOUN
aeasj-347	164	2	,	,	PUNCT
aeasj-347	164	3	a.b.z	a.b.z	NOUN
aeasj-347	164	4	.	.	PUNCT
aeasj-347	164	5	&	&	CCONJ
aeasj-347	164	6	mount	mount	PROPN
aeasj-347	164	7	,	,	PUNCT
aeasj-347	164	8	t.d	t.d	PROPN
aeasj-347	164	9	.	.	PUNCT
aeasj-347	164	10	(	(	PUNCT
aeasj-347	164	11	1974	1974	NUM
aeasj-347	164	12	)	)	PUNCT
aeasj-347	164	13	a	a	DET
aeasj-347	164	14	convenient	convenient	ADJ
aeasj-347	164	15	descriptive	descriptive	ADJ
aeasj-347	164	16	model	model	NOUN
aeasj-347	164	17	of	of	ADP
aeasj-347	164	18	income	income	NOUN
aeasj-347	164	19	distribution	distribution	NOUN
aeasj-347	164	20	:	:	PUNCT
aeasj-347	164	21	the	the	DET
aeasj-347	164	22	gamma	gamma	PROPN
aeasj-347	164	23	density	density	PROPN
aeasj-347	164	24	,	,	PUNCT
aeasj-347	164	25	econometrica	econometrica	PROPN
aeasj-347	164	26	,	,	PUNCT
aeasj-347	164	27	42	42	NUM
aeasj-347	164	28	,	,	PUNCT
aeasj-347	164	29	1115	1115	NUM
aeasj-347	164	30	-	-	SYM
aeasj-347	164	31	1127	1127	NUM
aeasj-347	164	32	.	.	PUNCT
aeasj-347	165	1	sen	sen	PROPN
aeasj-347	165	2	a.	a.	PROPN
aeasj-347	165	3	(	(	PUNCT
aeasj-347	165	4	1973	1973	NUM
aeasj-347	165	5	)	)	PUNCT
aeasj-347	165	6	on	on	ADP
aeasj-347	165	7	economic	economic	ADJ
aeasj-347	165	8	inequality	inequality	NOUN
aeasj-347	165	9	.	.	PUNCT
aeasj-347	166	1	oxford	oxford	NOUN
aeasj-347	166	2	:	:	PUNCT
aeasj-347	166	3	oxford	oxford	PROPN
aeasj-347	166	4	university	university	PROPN
aeasj-347	166	5	press	press	NOUN
aeasj-347	166	6	.	.	PUNCT
aeasj-347	167	1	singh	singh	PROPN
aeasj-347	167	2	,	,	PUNCT
aeasj-347	167	3	s.k	s.k	PROPN
aeasj-347	167	4	.	.	PROPN
aeasj-347	167	5	&	&	CCONJ
aeasj-347	167	6	maddala	maddala	PROPN
aeasj-347	167	7	,	,	PUNCT
aeasj-347	167	8	g.s	g.s	PROPN
aeasj-347	167	9	.	.	PROPN
aeasj-347	167	10	(	(	PUNCT
aeasj-347	167	11	1976	1976	NUM
aeasj-347	167	12	)	)	PUNCT
aeasj-347	167	13	a	a	DET
aeasj-347	167	14	function	function	NOUN
aeasj-347	167	15	for	for	ADP
aeasj-347	167	16	the	the	DET
aeasj-347	167	17	size	size	NOUN
aeasj-347	167	18	distribution	distribution	NOUN
aeasj-347	167	19	of	of	ADP
aeasj-347	167	20	income	income	NOUN
aeasj-347	167	21	,	,	PUNCT
aeasj-347	167	22	econometrica	econometrica	PROPN
aeasj-347	167	23	,	,	PUNCT
aeasj-347	167	24	44	44	NUM
aeasj-347	167	25	,	,	PUNCT
aeasj-347	167	26	963	963	NUM
aeasj-347	167	27	-	-	SYM
aeasj-347	167	28	970	970	NUM
aeasj-347	167	29	.	.	PUNCT
aeasj-347	168	1	slottje	slottje	NOUN
aeasj-347	168	2	,	,	PUNCT
aeasj-347	168	3	d.j	d.j	PROPN
aeasj-347	168	4	.	.	PROPN
aeasj-347	168	5	(	(	PUNCT
aeasj-347	168	6	1989	1989	NUM
aeasj-347	168	7	)	)	PUNCT
aeasj-347	168	8	the	the	DET
aeasj-347	168	9	structure	structure	NOUN
aeasj-347	168	10	of	of	ADP
aeasj-347	168	11	earnings	earning	NOUN
aeasj-347	168	12	and	and	CCONJ
aeasj-347	168	13	the	the	DET
aeasj-347	168	14	measurement	measurement	NOUN
aeasj-347	168	15	of	of	ADP
aeasj-347	168	16	income	income	NOUN
aeasj-347	168	17	inequality	inequality	NOUN
aeasj-347	168	18	in	in	ADP
aeasj-347	168	19	the	the	DET
aeasj-347	168	20	u.s	u.s	PROPN
aeasj-347	168	21	.	.	PROPN
aeasj-347	168	22	,	,	PUNCT
aeasj-347	168	23	northholland	northholland	PROPN
aeasj-347	168	24	publishing	publish	VERB
aeasj-347	168	25	company	company	NOUN
aeasj-347	168	26	,	,	PUNCT
aeasj-347	168	27	amsterdam	amsterdam	PROPN
aeasj-347	168	28	.	.	PUNCT
aeasj-347	168	29	taguchi	taguchi	PROPN
aeasj-347	168	30	,	,	PUNCT
aeasj-347	168	31	t.	t.	PROPN
aeasj-347	168	32	(	(	PUNCT
aeasj-347	168	33	1972a	1972a	NUM
aeasj-347	168	34	)	)	PUNCT
aeasj-347	168	35	on	on	ADP
aeasj-347	168	36	the	the	DET
aeasj-347	168	37	two	two	NUM
aeasj-347	168	38	-	-	PUNCT
aeasj-347	168	39	dimensional	dimensional	ADJ
aeasj-347	168	40	concentration	concentration	NOUN
aeasj-347	168	41	surface	surface	NOUN
aeasj-347	168	42	and	and	CCONJ
aeasj-347	168	43	extensions	extension	NOUN
aeasj-347	168	44	of	of	ADP
aeasj-347	168	45	concentration	concentration	NOUN
aeasj-347	168	46	coefficient	coefficient	NOUN
aeasj-347	168	47	and	and	CCONJ
aeasj-347	168	48	pareto	pareto	ADJ
aeasj-347	168	49	distribution	distribution	NOUN
aeasj-347	168	50	to	to	ADP
aeasj-347	168	51	the	the	DET
aeasj-347	168	52	two	two	NUM
aeasj-347	168	53	-	-	PUNCT
aeasj-347	168	54	dimensional	dimensional	ADJ
aeasj-347	168	55	case	case	NOUN
aeasj-347	168	56	-	-	PUNCT
aeasj-347	168	57	i	i	NOUN
aeasj-347	168	58	,	,	PUNCT
aeasj-347	168	59	annals	annal	NOUN
aeasj-347	168	60	of	of	ADP
aeasj-347	168	61	the	the	DET
aeasj-347	168	62	inst	inst	NOUN
aeasj-347	168	63	.	.	PUNCT
aeasj-347	168	64	of	of	ADP
aeasj-347	168	65	stat	stat	PROPN
aeasj-347	168	66	.	.	PUNCT
aeasj-347	169	1	math	math	NOUN
aeasj-347	169	2	.	.	PUNCT
aeasj-347	169	3	,	,	PUNCT
aeasj-347	169	4	24(2	24(2	NUM
aeasj-347	169	5	)	)	PUNCT
aeasj-347	169	6	,	,	PUNCT
aeasj-347	169	7	355	355	NUM
aeasj-347	169	8	-	-	SYM
aeasj-347	169	9	381	381	NUM
aeasj-347	169	10	.	.	PUNCT
aeasj-347	170	1	taguchi	taguchi	PROPN
aeasj-347	170	2	,	,	PUNCT
aeasj-347	170	3	t.	t.	PROPN
aeasj-347	170	4	(	(	PUNCT
aeasj-347	170	5	1972b	1972b	NUM
aeasj-347	170	6	)	)	PUNCT
aeasj-347	170	7	on	on	ADP
aeasj-347	170	8	the	the	DET
aeasj-347	170	9	two	two	NUM
aeasj-347	170	10	-	-	PUNCT
aeasj-347	170	11	dimensional	dimensional	ADJ
aeasj-347	170	12	concentration	concentration	NOUN
aeasj-347	170	13	surface	surface	NOUN
aeasj-347	170	14	and	and	CCONJ
aeasj-347	170	15	extensions	extension	NOUN
aeasj-347	170	16	of	of	ADP
aeasj-347	170	17	concentration	concentration	NOUN
aeasj-347	170	18	coefficient	coefficient	NOUN
aeasj-347	170	19	and	and	CCONJ
aeasj-347	170	20	pareto	pareto	ADJ
aeasj-347	170	21	distribution	distribution	NOUN
aeasj-347	170	22	to	to	ADP
aeasj-347	170	23	the	the	DET
aeasj-347	170	24	two	two	NUM
aeasj-347	170	25	-	-	PUNCT
aeasj-347	170	26	dimensional	dimensional	ADJ
aeasj-347	170	27	case	case	NOUN
aeasj-347	170	28	-	-	PUNCT
aeasj-347	170	29	ii	ii	NOUN
aeasj-347	170	30	,	,	PUNCT
aeasj-347	170	31	annals	annal	NOUN
aeasj-347	170	32	of	of	ADP
aeasj-347	170	33	the	the	DET
aeasj-347	170	34	inst	inst	NOUN
aeasj-347	170	35	.	.	PUNCT
aeasj-347	170	36	of	of	ADP
aeasj-347	170	37	stat	stat	PROPN
aeasj-347	170	38	.	.	PUNCT
aeasj-347	171	1	math	math	NOUN
aeasj-347	171	2	.	.	PUNCT
aeasj-347	171	3	,	,	PUNCT
aeasj-347	171	4	24(3	24(3	NUM
aeasj-347	171	5	)	)	PUNCT
aeasj-347	171	6	,	,	PUNCT
aeasj-347	171	7	599	599	NUM
aeasj-347	171	8	-	-	SYM
aeasj-347	171	9	619	619	NUM
aeasj-347	171	10	.	.	PUNCT
aeasj-347	172	1	taguchi	taguchi	PROPN
aeasj-347	172	2	,	,	PUNCT
aeasj-347	172	3	t.	t.	PROPN
aeasj-347	172	4	(	(	PUNCT
aeasj-347	172	5	1972c	1972c	NUM
aeasj-347	172	6	)	)	PUNCT
aeasj-347	172	7	concentration	concentration	NOUN
aeasj-347	172	8	polyhedron	polyhedron	NOUN
aeasj-347	172	9	,	,	PUNCT
aeasj-347	172	10	two	two	NUM
aeasj-347	172	11	-	-	PUNCT
aeasj-347	172	12	dimensional	dimensional	ADJ
aeasj-347	172	13	concentration	concentration	NOUN
aeasj-347	172	14	coefficient	coefficient	NOUN
aeasj-347	172	15	for	for	ADP
aeasj-347	172	16	discrete	discrete	ADJ
aeasj-347	172	17	type	type	NOUN
aeasj-347	172	18	distribution	distribution	NOUN
aeasj-347	172	19	and	and	CCONJ
aeasj-347	172	20	some	some	DET
aeasj-347	172	21	new	new	ADJ
aeasj-347	172	22	correlation	correlation	NOUN
aeasj-347	172	23	coefficients	coefficient	NOUN
aeasj-347	172	24	etc	etc	X
aeasj-347	172	25	.	.	X
aeasj-347	172	26	,	,	PUNCT
aeasj-347	172	27	the	the	DET
aeasj-347	172	28	inst	inst	NOUN
aeasj-347	172	29	.	.	PUNCT
aeasj-347	172	30	of	of	ADP
aeasj-347	172	31	stat	stat	PROPN
aeasj-347	172	32	.	.	PUNCT
aeasj-347	173	1	math	math	NOUN
aeasj-347	173	2	.	.	PUNCT
aeasj-347	174	1	,	,	PUNCT
aeasj-347	174	2	77	77	NUM
aeasj-347	174	3	-	-	SYM
aeasj-347	174	4	115	115	NUM
aeasj-347	174	5	.	.	PUNCT
aeasj-347	175	1	taguchi	taguchi	PROPN
aeasj-347	175	2	,	,	PUNCT
aeasj-347	175	3	t.	t.	PROPN
aeasj-347	175	4	(	(	PUNCT
aeasj-347	175	5	1973	1973	NUM
aeasj-347	175	6	)	)	PUNCT
aeasj-347	175	7	on	on	ADP
aeasj-347	175	8	the	the	DET
aeasj-347	175	9	two	two	NUM
aeasj-347	175	10	-	-	PUNCT
aeasj-347	175	11	dimensional	dimensional	ADJ
aeasj-347	175	12	concentration	concentration	NOUN
aeasj-347	175	13	surface	surface	NOUN
aeasj-347	175	14	and	and	CCONJ
aeasj-347	175	15	extensions	extension	NOUN
aeasj-347	175	16	of	of	ADP
aeasj-347	175	17	concentration	concentration	NOUN
aeasj-347	175	18	coefficient	coefficient	NOUN
aeasj-347	175	19	and	and	CCONJ
aeasj-347	175	20	pareto	pareto	ADJ
aeasj-347	175	21	distribution	distribution	NOUN
aeasj-347	175	22	to	to	ADP
aeasj-347	175	23	the	the	DET
aeasj-347	175	24	two	two	NUM
aeasj-347	175	25	-	-	PUNCT
aeasj-347	175	26	dimensional	dimensional	ADJ
aeasj-347	175	27	case	case	NOUN
aeasj-347	175	28	-	-	PUNCT
aeasj-347	175	29	iii	iii	NOUN
aeasj-347	175	30	,	,	PUNCT
aeasj-347	175	31	annals	annal	NOUN
aeasj-347	175	32	of	of	ADP
aeasj-347	175	33	the	the	DET
aeasj-347	175	34	inst	inst	NOUN
aeasj-347	175	35	.	.	PUNCT
aeasj-347	175	36	of	of	ADP
aeasj-347	175	37	stat	stat	PROPN
aeasj-347	175	38	.	.	PUNCT
aeasj-347	176	1	math	math	NOUN
aeasj-347	176	2	.	.	PUNCT
aeasj-347	176	3	,	,	PUNCT
aeasj-347	176	4	25(1	25(1	NUM
aeasj-347	176	5	)	)	PUNCT
aeasj-347	176	6	,	,	PUNCT
aeasj-347	176	7	215	215	NUM
aeasj-347	176	8	-	-	SYM
aeasj-347	176	9	237	237	NUM
aeasj-347	176	10	.	.	PUNCT
aeasj-347	177	1	taguchi	taguchi	PROPN
aeasj-347	177	2	t.	t.	PROPN
aeasj-347	177	3	(	(	PUNCT
aeasj-347	177	4	1974	1974	NUM
aeasj-347	177	5	)	)	PUNCT
aeasj-347	177	6	on	on	ADP
aeasj-347	177	7	fechner	fechner	NOUN
aeasj-347	177	8	's	's	PART
aeasj-347	177	9	thesis	thesis	NOUN
aeasj-347	177	10	and	and	CCONJ
aeasj-347	177	11	statistics	statistic	NOUN
aeasj-347	177	12	with	with	ADP
aeasj-347	177	13	norm	norm	NOUN
aeasj-347	177	14	p	p	X
aeasj-347	177	15	,	,	PUNCT
aeasj-347	177	16	ann	ann	PROPN
aeasj-347	177	17	.	.	PROPN
aeasj-347	177	18	of	of	ADP
aeasj-347	177	19	the	the	DET
aeasj-347	177	20	inst	inst	NOUN
aeasj-347	177	21	.	.	PUNCT
aeasj-347	177	22	of	of	ADP
aeasj-347	177	23	stat	stat	PROPN
aeasj-347	177	24	.	.	PUNCT
aeasj-347	178	1	math	math	NOUN
aeasj-347	178	2	.	.	PUNCT
aeasj-347	178	3	,	,	PUNCT
aeasj-347	178	4	26(2	26(2	NUM
aeasj-347	178	5	)	)	PUNCT
aeasj-347	178	6	,	,	PUNCT
aeasj-347	178	7	175193	175193	NUM
aeasj-347	178	8	.	.	PUNCT
aeasj-347	179	1	taguchi	taguchi	PROPN
aeasj-347	179	2	,	,	PUNCT
aeasj-347	179	3	t.	t.	PROPN
aeasj-347	179	4	(	(	PUNCT
aeasj-347	179	5	1978	1978	NUM
aeasj-347	179	6	)	)	PUNCT
aeasj-347	179	7	on	on	ADP
aeasj-347	179	8	a	a	DET
aeasj-347	179	9	generalization	generalization	NOUN
aeasj-347	179	10	of	of	ADP
aeasj-347	179	11	gaussian	gaussian	ADJ
aeasj-347	179	12	distribution	distribution	NOUN
aeasj-347	179	13	,	,	PUNCT
aeasj-347	179	14	ann	ann	PROPN
aeasj-347	179	15	.	.	PROPN
aeasj-347	179	16	of	of	ADP
aeasj-347	179	17	the	the	DET
aeasj-347	179	18	inst	inst	NOUN
aeasj-347	179	19	.	.	PUNCT
aeasj-347	179	20	of	of	ADP
aeasj-347	179	21	stat	stat	PROPN
aeasj-347	179	22	.	.	PUNCT
aeasj-347	180	1	math	math	NOUN
aeasj-347	180	2	.	.	PUNCT
aeasj-347	180	3	,	,	PUNCT
aeasj-347	181	1	30(2	30(2	NUM
aeasj-347	181	2	)	)	PUNCT
aeasj-347	181	3	,	,	PUNCT
aeasj-347	181	4	a	a	PRON
aeasj-347	181	5	,	,	PUNCT
aeasj-347	181	6	211242	211242	NUM
aeasj-347	181	7	.	.	PUNCT
aeasj-347	182	1	taguchi	taguchi	PROPN
aeasj-347	182	2	,	,	PUNCT
aeasj-347	182	3	t.	t.	PROPN
aeasj-347	182	4	(	(	PUNCT
aeasj-347	182	5	1981	1981	NUM
aeasj-347	182	6	)	)	PUNCT
aeasj-347	182	7	on	on	ADP
aeasj-347	182	8	a	a	DET
aeasj-347	182	9	multiple	multiple	ADJ
aeasj-347	182	10	gini	gini	NOUN
aeasj-347	182	11	's	's	PART
aeasj-347	182	12	coefficient	coefficient	NOUN
aeasj-347	182	13	and	and	CCONJ
aeasj-347	182	14	some	some	DET
aeasj-347	182	15	concentrative	concentrative	ADJ
aeasj-347	182	16	regressions	regression	NOUN
aeasj-347	182	17	,	,	PUNCT
aeasj-347	182	18	metron	metron	X
aeasj-347	182	19	,	,	PUNCT
aeasj-347	182	20	vol	vol	NOUN
aeasj-347	182	21	.	.	PUNCT
aeasj-347	183	1	xxxix	xxxix	PROPN
aeasj-347	183	2	(	(	PUNCT
aeasj-347	183	3	12	12	NUM
aeasj-347	183	4	)	)	PUNCT
aeasj-347	183	5	,	,	PUNCT
aeasj-347	183	6	5	5	NUM
aeasj-347	183	7	-	-	SYM
aeasj-347	183	8	98	98	NUM
aeasj-347	183	9	..	..	PUNCT
aeasj-347	183	10	http://www.bidabad.com/doc/l1-articl4.pdf%20%20%0d%0d	http://www.bidabad.com/doc/l1-articl4.pdf%20%20%0d%0d	PROPN
aeasj-347	183	11	https://www.cribfb.com/journal/index.php/bjmsr/article/view/314	https://www.cribfb.com/journal/index.php/bjmsr/article/view/314	PROPN
aeasj-347	184	1	https://www.cribfb.com/journal/index.php/ijmri/article/view/322	https://www.cribfb.com/journal/index.php/ijmri/article/view/322	PROPN
aeasj-347	184	2	http://www.bidabad.com/doc/iraninc-l1.pdf	http://www.bidabad.com/doc/iraninc-l1.pdf	PROPN
aeasj-347	184	3	http://www.bidabad.com/doc/estimating-lorenz-us.pdf	http://www.bidabad.com/doc/estimating-lorenz-us.pdf	NOUN
aeasj-347	184	4	http://www.bidabad.com/doc/l1-implied-inequality-index-4.pdf	http://www.bidabad.com/doc/l1-implied-inequality-index-4.pdf	NOUN
aeasj-347	184	5	copyright	copyright	NOUN
aeasj-347	184	6	©	©	PROPN
aeasj-347	184	7	cc	cc	PROPN
aeasj-347	184	8	-	-	PUNCT
aeasj-347	184	9	by	by	ADP
aeasj-347	184	10	-	-	PUNCT
aeasj-347	184	11	nc	nc	PROPN
aeasj-347	184	12	2019	2019	NUM
aeasj-347	184	13	,	,	PUNCT
aeasj-347	184	14	cribfb	cribfb	VERB
aeasj-347	184	15	|	|	ADV
aeasj-347	184	16	aesr	aesr	ADV
aeasj-347	184	17	www.cribfb.com/journal/index.php/aesr	www.cribfb.com/journal/index.php/aesr	AUX
aeasj-347	184	18	american	american	PROPN
aeasj-347	184	19	economic	economic	PROPN
aeasj-347	184	20	&	&	CCONJ
aeasj-347	184	21	social	social	PROPN
aeasj-347	184	22	review	review	PROPN
aeasj-347	184	23	vol	vol	NOUN
aeasj-347	184	24	.	.	PROPN
aeasj-347	185	1	5	5	NUM
aeasj-347	185	2	,	,	PUNCT
aeasj-347	185	3	no	no	INTJ
aeasj-347	185	4	.	.	NOUN
aeasj-347	185	5	2	2	NUM
aeasj-347	185	6	;	;	PUNCT
aeasj-347	185	7	2019	2019	NUM
aeasj-347	185	8	20	20	NUM
aeasj-347	185	9	theil	theil	PROPN
aeasj-347	185	10	h.	h.	PROPN
aeasj-347	185	11	(	(	PUNCT
aeasj-347	185	12	1967	1967	NUM
aeasj-347	185	13	)	)	PUNCT
aeasj-347	185	14	economic	economic	ADJ
aeasj-347	185	15	and	and	CCONJ
aeasj-347	185	16	information	information	NOUN
aeasj-347	185	17	theory	theory	NOUN
aeasj-347	185	18	,	,	PUNCT
aeasj-347	185	19	amsterdam	amsterdam	PROPN
aeasj-347	185	20	:	:	PUNCT
aeasj-347	185	21	north	north	PROPN
aeasj-347	185	22	holland	holland	PROPN
aeasj-347	185	23	,	,	PUNCT
aeasj-347	185	24	1967	1967	NUM
aeasj-347	185	25	.	.	PUNCT
aeasj-347	186	1	xu	xu	INTJ
aeasj-347	186	2	,	,	PUNCT
aeasj-347	186	3	kuan	kuan	PROPN
aeasj-347	186	4	(	(	PUNCT
aeasj-347	186	5	2004	2004	NUM
aeasj-347	186	6	)	)	PUNCT
aeasj-347	186	7	.	.	PUNCT
aeasj-347	187	1	how	how	SCONJ
aeasj-347	187	2	has	have	AUX
aeasj-347	187	3	the	the	DET
aeasj-347	187	4	literature	literature	NOUN
aeasj-347	187	5	on	on	ADP
aeasj-347	187	6	gini	gini	PROPN
aeasj-347	187	7	’s	’s	PART
aeasj-347	187	8	index	index	NOUN
aeasj-347	187	9	evolved	evolve	VERB
aeasj-347	187	10	in	in	ADP
aeasj-347	187	11	the	the	DET
aeasj-347	187	12	past	past	ADJ
aeasj-347	187	13	80	80	NUM
aeasj-347	187	14	years	year	NOUN
aeasj-347	187	15	?	?	PUNCT
aeasj-347	187	16	,	,	PUNCT
aeasj-347	187	17	http://economics.dal.ca/repec/dal/wprarch/howgini.pdf	http://economics.dal.ca/repec/dal/wprarch/howgini.pdf	PROPN
aeasj-347	187	18	copyrights	copyright	VERB
aeasj-347	187	19	copyright	copyright	NOUN
aeasj-347	187	20	for	for	ADP
aeasj-347	187	21	this	this	DET
aeasj-347	187	22	article	article	NOUN
aeasj-347	187	23	is	be	AUX
aeasj-347	187	24	retained	retain	VERB
aeasj-347	187	25	by	by	ADP
aeasj-347	187	26	the	the	DET
aeasj-347	187	27	author(s	author(s	PROPN
aeasj-347	187	28	)	)	PUNCT
aeasj-347	187	29	,	,	PUNCT
aeasj-347	187	30	with	with	ADP
aeasj-347	187	31	first	first	ADJ
aeasj-347	187	32	publication	publication	NOUN
aeasj-347	187	33	rights	right	NOUN
aeasj-347	187	34	granted	grant	VERB
aeasj-347	187	35	to	to	ADP
aeasj-347	187	36	the	the	DET
aeasj-347	187	37	journal	journal	NOUN
aeasj-347	187	38	.	.	PUNCT
aeasj-347	188	1	this	this	PRON
aeasj-347	188	2	is	be	AUX
aeasj-347	188	3	an	an	DET
aeasj-347	188	4	open	open	ADJ
aeasj-347	188	5	-	-	PUNCT
aeasj-347	188	6	access	access	NOUN
aeasj-347	188	7	article	article	NOUN
aeasj-347	188	8	distributed	distribute	VERB
aeasj-347	188	9	under	under	ADP
aeasj-347	188	10	the	the	DET
aeasj-347	188	11	terms	term	NOUN
aeasj-347	188	12	and	and	CCONJ
aeasj-347	188	13	conditions	condition	NOUN
aeasj-347	188	14	of	of	ADP
aeasj-347	188	15	the	the	DET
aeasj-347	188	16	creative	creative	ADJ
aeasj-347	188	17	commons	common	NOUN
aeasj-347	188	18	attribution	attribution	NOUN
aeasj-347	188	19	license	license	NOUN
aeasj-347	188	20	(	(	PUNCT
aeasj-347	188	21	http://creativecommons.org/licenses/by/4.0/	http://creativecommons.org/licenses/by/4.0/	PROPN
aeasj-347	188	22	)	)	PUNCT
aeasj-347	188	23	.	.	PUNCT
aeasj-347	189	1	http://economics.dal.ca/repec/dal/wprarch/howgini.pdf	http://economics.dal.ca/repec/dal/wprarch/howgini.pdf	PROPN