id	sid	tid	token	lemma	pos
bjmsr-314	1	1	copyright	copyright	NOUN
bjmsr-314	1	2	©	©	PROPN
bjmsr-314	1	3	cc	cc	PROPN
bjmsr-314	1	4	-	-	PUNCT
bjmsr-314	1	5	by	by	ADP
bjmsr-314	1	6	-	-	PUNCT
bjmsr-314	1	7	nc	nc	PROPN
bjmsr-314	1	8	2019	2019	NUM
bjmsr-314	1	9	,	,	PUNCT
bjmsr-314	1	10	bjmsr	bjmsr	PROPN
bjmsr-314	1	11	bangladesh	bangladesh	PROPN
bjmsr-314	1	12	journal	journal	PROPN
bjmsr-314	1	13	of	of	ADP
bjmsr-314	1	14	multidisciplinary	multidisciplinary	ADJ
bjmsr-314	1	15	scientific	scientific	ADJ
bjmsr-314	1	16	research	research	NOUN
bjmsr-314	1	17	vol	vol	NOUN
bjmsr-314	1	18	.	.	PROPN
bjmsr-314	1	19	1	1	NUM
bjmsr-314	1	20	,	,	PUNCT
bjmsr-314	1	21	no	no	INTJ
bjmsr-314	1	22	.	.	NOUN
bjmsr-314	1	23	1	1	NUM
bjmsr-314	1	24	april	april	PROPN
bjmsr-314	1	25	-	-	PUNCT
bjmsr-314	1	26	june	june	PROPN
bjmsr-314	1	27	;	;	PUNCT
bjmsr-314	1	28	2019	2019	NUM
bjmsr-314	1	29	published	publish	VERB
bjmsr-314	1	30	by	by	ADP
bjmsr-314	1	31	centre	centre	NOUN
bjmsr-314	1	32	for	for	ADP
bjmsr-314	1	33	research	research	NOUN
bjmsr-314	1	34	on	on	ADP
bjmsr-314	1	35	islamic	islamic	ADJ
bjmsr-314	1	36	banking	banking	PROPN
bjmsr-314	1	37	&	&	CCONJ
bjmsr-314	1	38	finance	finance	PROPN
bjmsr-314	1	39	and	and	CCONJ
bjmsr-314	1	40	business	business	NOUN
bjmsr-314	1	41	41	41	NUM
bjmsr-314	1	42	continuous	continuous	ADJ
bjmsr-314	1	43	l1	l1	PROPN
bjmsr-314	1	44	norm	norm	NOUN
bjmsr-314	1	45	estimation	estimation	NOUN
bjmsr-314	1	46	of	of	ADP
bjmsr-314	1	47	lorenz	lorenz	PROPN
bjmsr-314	1	48	curve	curve	PROPN
bjmsr-314	1	49	bijan	bijan	PROPN
bjmsr-314	1	50	bidabad	bidabad	PROPN
bjmsr-314	1	51	b.a	b.a	PROPN
bjmsr-314	1	52	.	.	PROPN
bjmsr-314	1	53	,	,	PUNCT
bjmsr-314	1	54	m.sc	m.sc	PROPN
bjmsr-314	1	55	.	.	PROPN
bjmsr-314	1	56	,	,	PUNCT
bjmsr-314	1	57	ph.d	ph.d	PROPN
bjmsr-314	1	58	.	.	PROPN
bjmsr-314	1	59	,	,	PUNCT
bjmsr-314	1	60	post	post	PROPN
bjmsr-314	1	61	-	-	ADJ
bjmsr-314	1	62	doc	doc	ADJ
bjmsr-314	1	63	.	.	PROPN
bjmsr-314	2	1	professor	professor	NOUN
bjmsr-314	2	2	economics	economic	NOUN
bjmsr-314	2	3	and	and	CCONJ
bjmsr-314	2	4	chief	chief	ADJ
bjmsr-314	2	5	islamic	islamic	PROPN
bjmsr-314	2	6	banking	banking	PROPN
bjmsr-314	2	7	advisor	advisor	PROPN
bjmsr-314	2	8	bank	bank	PROPN
bjmsr-314	2	9	melli	melli	PROPN
bjmsr-314	2	10	,	,	PUNCT
bjmsr-314	2	11	iran	iran	PROPN
bjmsr-314	2	12	e-mail:bijan@bidabad.com	e-mail:bijan@bidabad.com	X
bjmsr-314	3	1	abstract	abstract	ADJ
bjmsr-314	3	2	in	in	ADP
bjmsr-314	3	3	this	this	DET
bjmsr-314	3	4	paper	paper	NOUN
bjmsr-314	3	5	,	,	PUNCT
bjmsr-314	3	6	the	the	DET
bjmsr-314	3	7	l1	l1	PROPN
bjmsr-314	3	8	norm	norm	NOUN
bjmsr-314	3	9	of	of	ADP
bjmsr-314	3	10	continuous	continuous	ADJ
bjmsr-314	3	11	functions	function	NOUN
bjmsr-314	3	12	and	and	CCONJ
bjmsr-314	3	13	corresponding	correspond	VERB
bjmsr-314	3	14	continuous	continuous	ADJ
bjmsr-314	3	15	estimation	estimation	NOUN
bjmsr-314	3	16	of	of	ADP
bjmsr-314	3	17	regression	regression	NOUN
bjmsr-314	3	18	parameters	parameter	NOUN
bjmsr-314	3	19	are	be	AUX
bjmsr-314	3	20	defined	define	VERB
bjmsr-314	3	21	.	.	PUNCT
bjmsr-314	4	1	the	the	DET
bjmsr-314	4	2	continuous	continuous	ADJ
bjmsr-314	4	3	l1	l1	PROPN
bjmsr-314	4	4	norm	norm	NOUN
bjmsr-314	4	5	estimation	estimation	NOUN
bjmsr-314	4	6	problem	problem	NOUN
bjmsr-314	4	7	of	of	ADP
bjmsr-314	4	8	one	one	NUM
bjmsr-314	4	9	and	and	CCONJ
bjmsr-314	4	10	two	two	NUM
bjmsr-314	4	11	parameters	parameter	NOUN
bjmsr-314	4	12	linear	linear	NOUN
bjmsr-314	4	13	models	model	NOUN
bjmsr-314	4	14	in	in	ADP
bjmsr-314	4	15	the	the	DET
bjmsr-314	4	16	continuous	continuous	ADJ
bjmsr-314	4	17	case	case	NOUN
bjmsr-314	4	18	is	be	AUX
bjmsr-314	4	19	solved	solve	VERB
bjmsr-314	4	20	.	.	PUNCT
bjmsr-314	5	1	we	we	PRON
bjmsr-314	5	2	proceed	proceed	VERB
bjmsr-314	5	3	to	to	PART
bjmsr-314	5	4	use	use	VERB
bjmsr-314	5	5	the	the	DET
bjmsr-314	5	6	functional	functional	ADJ
bjmsr-314	5	7	form	form	NOUN
bjmsr-314	5	8	and	and	CCONJ
bjmsr-314	5	9	parameters	parameter	NOUN
bjmsr-314	5	10	of	of	ADP
bjmsr-314	5	11	the	the	DET
bjmsr-314	5	12	probability	probability	NOUN
bjmsr-314	5	13	distribution	distribution	NOUN
bjmsr-314	5	14	function	function	NOUN
bjmsr-314	5	15	of	of	ADP
bjmsr-314	5	16	income	income	NOUN
bjmsr-314	5	17	to	to	PART
bjmsr-314	5	18	exactly	exactly	ADV
bjmsr-314	5	19	determine	determine	VERB
bjmsr-314	5	20	the	the	DET
bjmsr-314	5	21	l1	l1	PROPN
bjmsr-314	5	22	norm	norm	NOUN
bjmsr-314	5	23	approximation	approximation	NOUN
bjmsr-314	5	24	of	of	ADP
bjmsr-314	5	25	the	the	DET
bjmsr-314	5	26	corresponding	correspond	VERB
bjmsr-314	5	27	lorenz	lorenz	PROPN
bjmsr-314	5	28	curve	curve	NOUN
bjmsr-314	5	29	of	of	ADP
bjmsr-314	5	30	the	the	DET
bjmsr-314	5	31	statistical	statistical	ADJ
bjmsr-314	5	32	population	population	NOUN
bjmsr-314	5	33	under	under	ADP
bjmsr-314	5	34	consideration	consideration	NOUN
bjmsr-314	5	35	.	.	PUNCT
bjmsr-314	6	1	keywords	keyword	NOUN
bjmsr-314	6	2	:	:	PUNCT
bjmsr-314	6	3	l1	l1	PROPN
bjmsr-314	6	4	norm	norm	NOUN
bjmsr-314	6	5	,	,	PUNCT
bjmsr-314	6	6	lorenz	lorenz	PROPN
bjmsr-314	6	7	curve	curve	PROPN
bjmsr-314	6	8	,	,	PUNCT
bjmsr-314	6	9	continuous	continuous	ADJ
bjmsr-314	6	10	estimation	estimation	NOUN
bjmsr-314	6	11	1	1	NUM
bjmsr-314	6	12	.	.	PUNCT
bjmsr-314	6	13	introduction	introduction	NOUN
bjmsr-314	6	14	the	the	DET
bjmsr-314	6	15	skewness	skewness	NOUN
bjmsr-314	6	16	of	of	ADP
bjmsr-314	6	17	income	income	NOUN
bjmsr-314	6	18	distribution	distribution	NOUN
bjmsr-314	6	19	is	be	AUX
bjmsr-314	6	20	persistently	persistently	ADV
bjmsr-314	6	21	exhibited	exhibit	VERB
bjmsr-314	6	22	for	for	ADP
bjmsr-314	6	23	different	different	ADJ
bjmsr-314	6	24	populations	population	NOUN
bjmsr-314	6	25	and	and	CCONJ
bjmsr-314	6	26	at	at	ADP
bjmsr-314	6	27	different	different	ADJ
bjmsr-314	6	28	times	time	NOUN
bjmsr-314	6	29	.	.	PUNCT
bjmsr-314	7	1	it	it	PRON
bjmsr-314	7	2	is	be	AUX
bjmsr-314	7	3	discussed	discuss	VERB
bjmsr-314	7	4	that	that	SCONJ
bjmsr-314	7	5	pearsonian	pearsonian	ADJ
bjmsr-314	7	6	family	family	NOUN
bjmsr-314	7	7	distributions	distribution	NOUN
bjmsr-314	7	8	are	be	AUX
bjmsr-314	7	9	rival	rival	ADJ
bjmsr-314	7	10	functions	function	NOUN
bjmsr-314	7	11	to	to	PART
bjmsr-314	7	12	explain	explain	VERB
bjmsr-314	7	13	income	income	NOUN
bjmsr-314	7	14	distribution	distribution	NOUN
bjmsr-314	7	15	.	.	PUNCT
bjmsr-314	8	1	lorenz	lorenz	PROPN
bjmsr-314	8	2	curve	curve	NOUN
bjmsr-314	8	3	is	be	AUX
bjmsr-314	8	4	a	a	DET
bjmsr-314	8	5	method	method	NOUN
bjmsr-314	8	6	to	to	PART
bjmsr-314	8	7	analyze	analyze	VERB
bjmsr-314	8	8	the	the	DET
bjmsr-314	8	9	skew	skew	NOUN
bjmsr-314	8	10	distributions	distribution	NOUN
bjmsr-314	8	11	.	.	PUNCT
bjmsr-314	9	1	there	there	PRON
bjmsr-314	9	2	is	be	VERB
bjmsr-314	9	3	a	a	DET
bjmsr-314	9	4	relation	relation	NOUN
bjmsr-314	9	5	between	between	ADP
bjmsr-314	9	6	the	the	DET
bjmsr-314	9	7	area	area	NOUN
bjmsr-314	9	8	under	under	ADP
bjmsr-314	9	9	the	the	DET
bjmsr-314	9	10	lorenz	lorenz	PROPN
bjmsr-314	9	11	curve	curve	NOUN
bjmsr-314	9	12	and	and	CCONJ
bjmsr-314	9	13	the	the	DET
bjmsr-314	9	14	corresponding	corresponding	ADJ
bjmsr-314	9	15	probability	probability	NOUN
bjmsr-314	9	16	distribution	distribution	NOUN
bjmsr-314	9	17	function	function	NOUN
bjmsr-314	9	18	of	of	ADP
bjmsr-314	9	19	the	the	DET
bjmsr-314	9	20	statistical	statistical	ADJ
bjmsr-314	9	21	population	population	NOUN
bjmsr-314	9	22	(	(	PUNCT
bjmsr-314	9	23	see	see	VERB
bjmsr-314	9	24	,	,	PUNCT
bjmsr-314	9	25	kendall	kendall	PROPN
bjmsr-314	9	26	and	and	CCONJ
bjmsr-314	9	27	stuart	stuart	PROPN
bjmsr-314	9	28	(	(	PUNCT
bjmsr-314	9	29	1977	1977	NUM
bjmsr-314	9	30	)	)	PUNCT
bjmsr-314	9	31	)	)	PUNCT
bjmsr-314	9	32	.	.	PUNCT
bjmsr-314	10	1	that	that	PRON
bjmsr-314	10	2	is	be	AUX
bjmsr-314	10	3	,	,	PUNCT
bjmsr-314	10	4	when	when	SCONJ
bjmsr-314	10	5	the	the	DET
bjmsr-314	10	6	probability	probability	NOUN
bjmsr-314	10	7	distribution	distribution	NOUN
bjmsr-314	10	8	function	function	NOUN
bjmsr-314	10	9	is	be	AUX
bjmsr-314	10	10	known	know	VERB
bjmsr-314	10	11	,	,	PUNCT
bjmsr-314	10	12	we	we	PRON
bjmsr-314	10	13	may	may	AUX
bjmsr-314	10	14	find	find	VERB
bjmsr-314	10	15	the	the	DET
bjmsr-314	10	16	corresponding	corresponding	PROPN
bjmsr-314	10	17	gini	gini	PROPN
bjmsr-314	10	18	coefficient	coefficient	PROPN
bjmsr-314	10	19	as	as	ADP
bjmsr-314	10	20	the	the	DET
bjmsr-314	10	21	measure	measure	NOUN
bjmsr-314	10	22	of	of	ADP
bjmsr-314	10	23	inequality	inequality	NOUN
bjmsr-314	10	24	.	.	PUNCT
bjmsr-314	11	1	estimation	estimation	NOUN
bjmsr-314	11	2	of	of	ADP
bjmsr-314	11	3	the	the	DET
bjmsr-314	11	4	lorenz	lorenz	PROPN
bjmsr-314	11	5	curve	curve	NOUN
bjmsr-314	11	6	is	be	AUX
bjmsr-314	11	7	confronted	confront	VERB
bjmsr-314	11	8	with	with	ADP
bjmsr-314	11	9	some	some	DET
bjmsr-314	11	10	difficulties	difficulty	NOUN
bjmsr-314	11	11	.	.	PUNCT
bjmsr-314	12	1	for	for	ADP
bjmsr-314	12	2	this	this	DET
bjmsr-314	12	3	estimation	estimation	NOUN
bjmsr-314	12	4	,	,	PUNCT
bjmsr-314	12	5	we	we	PRON
bjmsr-314	12	6	should	should	AUX
bjmsr-314	12	7	define	define	VERB
bjmsr-314	12	8	an	an	DET
bjmsr-314	12	9	appropriate	appropriate	ADJ
bjmsr-314	12	10	functional	functional	ADJ
bjmsr-314	12	11	form	form	NOUN
bjmsr-314	12	12	which	which	PRON
bjmsr-314	12	13	can	can	AUX
bjmsr-314	12	14	accept	accept	VERB
bjmsr-314	12	15	different	different	ADJ
bjmsr-314	12	16	curvatures	curvature	NOUN
bjmsr-314	12	17	(	(	PUNCT
bjmsr-314	12	18	see	see	VERB
bjmsr-314	12	19	,	,	PUNCT
bjmsr-314	12	20	bidabad	bidabad	VERB
bjmsr-314	12	21	and	and	CCONJ
bjmsr-314	12	22	bidabad	bidabad	ADJ
bjmsr-314	12	23	(	(	PUNCT
bjmsr-314	12	24	1989a	1989a	NUM
bjmsr-314	12	25	,	,	PUNCT
bjmsr-314	12	26	b	b	NOUN
bjmsr-314	12	27	)	)	PUNCT
bjmsr-314	12	28	)	)	PUNCT
bjmsr-314	12	29	.	.	PUNCT
bjmsr-314	13	1	there	there	PRON
bjmsr-314	13	2	is	be	VERB
bjmsr-314	13	3	another	another	DET
bjmsr-314	13	4	problem	problem	NOUN
bjmsr-314	13	5	,	,	PUNCT
bjmsr-314	13	6	that	that	ADV
bjmsr-314	13	7	is	is	ADV
bjmsr-314	13	8	,	,	PUNCT
bjmsr-314	13	9	to	to	PART
bjmsr-314	13	10	create	create	VERB
bjmsr-314	13	11	the	the	DET
bjmsr-314	13	12	necessary	necessary	ADJ
bjmsr-314	13	13	data	datum	NOUN
bjmsr-314	13	14	set	set	VERB
bjmsr-314	13	15	for	for	ADP
bjmsr-314	13	16	estimating	estimate	VERB
bjmsr-314	13	17	the	the	DET
bjmsr-314	13	18	corresponding	corresponding	ADJ
bjmsr-314	13	19	parameters	parameter	NOUN
bjmsr-314	13	20	of	of	ADP
bjmsr-314	13	21	the	the	DET
bjmsr-314	13	22	lorenz	lorenz	PROPN
bjmsr-314	13	23	curve	curve	NOUN
bjmsr-314	13	24	,	,	PUNCT
bjmsr-314	13	25	a	a	DET
bjmsr-314	13	26	large	large	ADJ
bjmsr-314	13	27	amount	amount	NOUN
bjmsr-314	13	28	of	of	ADP
bjmsr-314	13	29	computation	computation	NOUN
bjmsr-314	13	30	on	on	ADP
bjmsr-314	13	31	raw	raw	ADJ
bjmsr-314	13	32	sample	sample	NOUN
bjmsr-314	13	33	income	income	NOUN
bjmsr-314	13	34	data	datum	NOUN
bjmsr-314	13	35	is	be	AUX
bjmsr-314	13	36	inevitable	inevitable	ADJ
bjmsr-314	13	37	.	.	PUNCT
bjmsr-314	14	1	obviously	obviously	ADV
bjmsr-314	14	2	,	,	PUNCT
bjmsr-314	14	3	these	these	DET
bjmsr-314	14	4	problems	problem	NOUN
bjmsr-314	14	5	,	,	PUNCT
bjmsr-314	14	6	despite	despite	SCONJ
bjmsr-314	14	7	their	their	PRON
bjmsr-314	14	8	computational	computational	ADJ
bjmsr-314	14	9	difficulties	difficulty	NOUN
bjmsr-314	14	10	,	,	PUNCT
bjmsr-314	14	11	make	make	VERB
bjmsr-314	14	12	the	the	DET
bjmsr-314	14	13	significance	significance	NOUN
bjmsr-314	14	14	of	of	ADP
bjmsr-314	14	15	the	the	DET
bjmsr-314	14	16	estimated	estimate	VERB
bjmsr-314	14	17	parameters	parameter	NOUN
bjmsr-314	14	18	poor	poor	ADJ
bjmsr-314	14	19	(	(	PUNCT
bjmsr-314	14	20	see	see	VERB
bjmsr-314	14	21	,	,	PUNCT
bjmsr-314	14	22	bidabad	bidabad	VERB
bjmsr-314	14	23	and	and	CCONJ
bjmsr-314	14	24	bidabad	bidabad	ADJ
bjmsr-314	14	25	(	(	PUNCT
bjmsr-314	14	26	1989a	1989a	NUM
bjmsr-314	14	27	,	,	PUNCT
bjmsr-314	14	28	b	b	NOUN
bjmsr-314	14	29	)	)	PUNCT
bjmsr-314	14	30	)	)	PUNCT
bjmsr-314	14	31	.	.	PUNCT
bjmsr-314	15	1	to	to	PART
bjmsr-314	15	2	avoid	avoid	VERB
bjmsr-314	15	3	this	this	PRON
bjmsr-314	15	4	,	,	PUNCT
bjmsr-314	15	5	we	we	PRON
bjmsr-314	15	6	try	try	VERB
bjmsr-314	15	7	to	to	PART
bjmsr-314	15	8	estimate	estimate	VERB
bjmsr-314	15	9	the	the	DET
bjmsr-314	15	10	functional	functional	ADJ
bjmsr-314	15	11	form	form	NOUN
bjmsr-314	15	12	of	of	ADP
bjmsr-314	15	13	the	the	DET
bjmsr-314	15	14	lorenz	lorenz	PROPN
bjmsr-314	15	15	curve	curve	NOUN
bjmsr-314	15	16	by	by	ADP
bjmsr-314	15	17	using	use	VERB
bjmsr-314	15	18	continuous	continuous	ADJ
bjmsr-314	15	19	information	information	NOUN
bjmsr-314	15	20	.	.	PUNCT
bjmsr-314	16	1	in	in	ADP
bjmsr-314	16	2	this	this	DET
bjmsr-314	16	3	paper	paper	NOUN
bjmsr-314	16	4	,	,	PUNCT
bjmsr-314	16	5	we	we	PRON
bjmsr-314	16	6	use	use	VERB
bjmsr-314	16	7	the	the	DET
bjmsr-314	16	8	probability	probability	NOUN
bjmsr-314	16	9	density	density	NOUN
bjmsr-314	16	10	function	function	NOUN
bjmsr-314	16	11	of	of	ADP
bjmsr-314	16	12	population	population	NOUN
bjmsr-314	16	13	income	income	NOUN
bjmsr-314	16	14	to	to	PART
bjmsr-314	16	15	estimate	estimate	VERB
bjmsr-314	16	16	the	the	DET
bjmsr-314	16	17	lorenz	lorenz	PROPN
bjmsr-314	16	18	function	function	PROPN
bjmsr-314	16	19	parameters	parameter	NOUN
bjmsr-314	16	20	.	.	PUNCT
bjmsr-314	17	1	the	the	DET
bjmsr-314	17	2	continuous	continuous	ADJ
bjmsr-314	17	3	l1	l1	PROPN
bjmsr-314	17	4	norm	norm	NOUN
bjmsr-314	17	5	smoothing	smoothing	NOUN
bjmsr-314	17	6	method	method	NOUN
bjmsr-314	17	7	,	,	PUNCT
bjmsr-314	17	8	which	which	PRON
bjmsr-314	17	9	will	will	AUX
bjmsr-314	17	10	be	be	AUX
bjmsr-314	17	11	developed	develop	VERB
bjmsr-314	17	12	for	for	ADP
bjmsr-314	17	13	estimating	estimate	VERB
bjmsr-314	17	14	the	the	DET
bjmsr-314	17	15	regression	regression	NOUN
bjmsr-314	17	16	parameters	parameter	NOUN
bjmsr-314	17	17	is	be	AUX
bjmsr-314	17	18	used	use	VERB
bjmsr-314	17	19	to	to	PART
bjmsr-314	17	20	solve	solve	VERB
bjmsr-314	17	21	this	this	DET
bjmsr-314	17	22	problem	problem	NOUN
bjmsr-314	17	23	.	.	PUNCT
bjmsr-314	18	1	however	however	ADV
bjmsr-314	18	2	,	,	PUNCT
bjmsr-314	18	3	we	we	PRON
bjmsr-314	18	4	concentrate	concentrate	VERB
bjmsr-314	18	5	on	on	ADP
bjmsr-314	18	6	two	two	NUM
bjmsr-314	18	7	rival	rival	ADJ
bjmsr-314	18	8	probability	probability	NOUN
bjmsr-314	18	9	density	density	NOUN
bjmsr-314	18	10	functions	function	NOUN
bjmsr-314	18	11	of	of	ADP
bjmsr-314	18	12	pareto	pareto	NOUN
bjmsr-314	18	13	and	and	CCONJ
bjmsr-314	18	14	log	log	NOUN
bjmsr-314	18	15	-	-	PUNCT
bjmsr-314	18	16	normal	normal	ADJ
bjmsr-314	18	17	.	.	PUNCT
bjmsr-314	19	1	since	since	SCONJ
bjmsr-314	19	2	the	the	DET
bjmsr-314	19	3	former	former	NOUN
bjmsr-314	19	4	is	be	AUX
bjmsr-314	19	5	simply	simply	ADV
bjmsr-314	19	6	integrable	integrable	ADJ
bjmsr-314	19	7	,	,	PUNCT
bjmsr-314	19	8	there	there	PRON
bjmsr-314	19	9	is	be	VERB
bjmsr-314	19	10	no	no	DET
bjmsr-314	19	11	general	general	ADJ
bjmsr-314	19	12	problem	problem	NOUN
bjmsr-314	19	13	to	to	PART
bjmsr-314	19	14	derive	derive	VERB
bjmsr-314	19	15	the	the	DET
bjmsr-314	19	16	corresponding	correspond	VERB
bjmsr-314	19	17	lorenz	lorenz	PROPN
bjmsr-314	19	18	function	function	NOUN
bjmsr-314	19	19	,	,	PUNCT
bjmsr-314	19	20	and	and	CCONJ
bjmsr-314	19	21	the	the	DET
bjmsr-314	19	22	function	function	NOUN
bjmsr-314	19	23	is	be	AUX
bjmsr-314	19	24	uniquely	uniquely	ADV
bjmsr-314	19	25	derived	derive	VERB
bjmsr-314	19	26	.	.	PUNCT
bjmsr-314	20	1	but	but	CCONJ
bjmsr-314	20	2	in	in	ADP
bjmsr-314	20	3	the	the	DET
bjmsr-314	20	4	latter	latter	ADJ
bjmsr-314	20	5	case	case	NOUN
bjmsr-314	20	6	,	,	PUNCT
bjmsr-314	20	7	the	the	DET
bjmsr-314	20	8	log	log	NOUN
bjmsr-314	20	9	-	-	PUNCT
bjmsr-314	20	10	normal	normal	ADJ
bjmsr-314	20	11	density	density	NOUN
bjmsr-314	20	12	function	function	NOUN
bjmsr-314	20	13	(	(	PUNCT
bjmsr-314	20	14	which	which	PRON
bjmsr-314	20	15	has	have	VERB
bjmsr-314	20	16	better	well	ADJ
bjmsr-314	20	17	performance	performance	NOUN
bjmsr-314	20	18	for	for	ADP
bjmsr-314	20	19	full	full	ADJ
bjmsr-314	20	20	income	income	NOUN
bjmsr-314	20	21	range	range	NOUN
bjmsr-314	20	22	)	)	PUNCT
bjmsr-314	20	23	than	than	ADP
bjmsr-314	20	24	pareto	pareto	ADJ
bjmsr-314	20	25	distribution	distribution	NOUN
bjmsr-314	20	26	(	(	PUNCT
bjmsr-314	20	27	which	which	PRON
bjmsr-314	20	28	better	well	ADV
bjmsr-314	20	29	fits	fit	VERB
bjmsr-314	20	30	to	to	ADP
bjmsr-314	20	31	higher	high	ADJ
bjmsr-314	20	32	income	income	NOUN
bjmsr-314	20	33	range	range	NOUN
bjmsr-314	20	34	,	,	PUNCT
bjmsr-314	20	35	(	(	PUNCT
bjmsr-314	20	36	see	see	VERB
bjmsr-314	20	37	,	,	PUNCT
bjmsr-314	20	38	cramer	cramer	X
bjmsr-314	20	39	(	(	PUNCT
bjmsr-314	20	40	1973	1973	NUM
bjmsr-314	20	41	)	)	PUNCT
bjmsr-314	20	42	,	,	PUNCT
bjmsr-314	20	43	singh	singh	NOUN
bjmsr-314	20	44	and	and	CCONJ
bjmsr-314	20	45	maddala	maddala	PROPN
bjmsr-314	20	46	(	(	PUNCT
bjmsr-314	20	47	1976	1976	NUM
bjmsr-314	20	48	)	)	PUNCT
bjmsr-314	20	49	,	,	PUNCT
bjmsr-314	20	50	salem	salem	NOUN
bjmsr-314	20	51	and	and	CCONJ
bjmsr-314	20	52	mount	mount	PROPN
bjmsr-314	20	53	(	(	PUNCT
bjmsr-314	20	54	1974	1974	NUM
bjmsr-314	20	55	)	)	PUNCT
bjmsr-314	20	56	)	)	PUNCT
bjmsr-314	20	57	,	,	PUNCT
bjmsr-314	20	58	is	be	AUX
bjmsr-314	20	59	not	not	PART
bjmsr-314	20	60	integrable	integrable	ADJ
bjmsr-314	20	61	and	and	CCONJ
bjmsr-314	20	62	we	we	PRON
bjmsr-314	20	63	can	can	AUX
bjmsr-314	20	64	not	not	PART
bjmsr-314	20	65	determine	determine	VERB
bjmsr-314	20	66	its	its	PRON
bjmsr-314	20	67	corresponding	correspond	VERB
bjmsr-314	20	68	lorenz	lorenz	PROPN
bjmsr-314	20	69	function	function	NOUN
bjmsr-314	20	70	.	.	PUNCT
bjmsr-314	21	1	in	in	ADP
bjmsr-314	21	2	this	this	DET
bjmsr-314	21	3	regard	regard	NOUN
bjmsr-314	21	4	,	,	PUNCT
bjmsr-314	21	5	we	we	PRON
bjmsr-314	21	6	should	should	AUX
bjmsr-314	21	7	solve	solve	VERB
bjmsr-314	21	8	the	the	DET
bjmsr-314	21	9	problem	problem	NOUN
bjmsr-314	21	10	by	by	ADP
bjmsr-314	21	11	defining	define	VERB
bjmsr-314	21	12	a	a	DET
bjmsr-314	21	13	general	general	ADJ
bjmsr-314	21	14	lorenz	lorenz	PROPN
bjmsr-314	21	15	curve	curve	NOUN
bjmsr-314	21	16	functional	functional	ADJ
bjmsr-314	21	17	form	form	NOUN
bjmsr-314	21	18	and	and	CCONJ
bjmsr-314	21	19	applying	apply	VERB
bjmsr-314	21	20	the	the	DET
bjmsr-314	21	21	l1	l1	PROPN
bjmsr-314	21	22	norm	norm	NOUN
bjmsr-314	21	23	smoothing	smooth	VERB
bjmsr-314	21	24	to	to	PART
bjmsr-314	21	25	estimate	estimate	VERB
bjmsr-314	21	26	the	the	DET
bjmsr-314	21	27	corresponding	correspond	VERB
bjmsr-314	21	28	parameters	parameter	NOUN
bjmsr-314	21	29	.	.	PUNCT
bjmsr-314	22	1	in	in	ADP
bjmsr-314	22	2	this	this	DET
bjmsr-314	22	3	paper	paper	NOUN
bjmsr-314	22	4	,	,	PUNCT
bjmsr-314	22	5	continuous	continuous	ADJ
bjmsr-314	22	6	l1	l1	PROPN
bjmsr-314	22	7	norm	norm	NOUN
bjmsr-314	22	8	estimation	estimation	NOUN
bjmsr-314	22	9	is	be	AUX
bjmsr-314	22	10	developed	develop	VERB
bjmsr-314	22	11	by	by	ADP
bjmsr-314	22	12	using	use	VERB
bjmsr-314	22	13	a	a	DET
bjmsr-314	22	14	similar	similar	ADJ
bjmsr-314	22	15	method	method	NOUN
bjmsr-314	22	16	proposed	propose	VERB
bjmsr-314	22	17	in	in	ADP
bjmsr-314	22	18	bidabad	bidabad	NOUN
bjmsr-314	22	19	(	(	PUNCT
bjmsr-314	22	20	1987a,88a,89a	1987a,88a,89a	NUM
bjmsr-314	22	21	,	,	PUNCT
bjmsr-314	22	22	b	b	NOUN
bjmsr-314	22	23	)	)	PUNCT
bjmsr-314	22	24	for	for	ADP
bjmsr-314	22	25	the	the	DET
bjmsr-314	22	26	discrete	discrete	ADJ
bjmsr-314	22	27	case	case	NOUN
bjmsr-314	22	28	.	.	PUNCT
bjmsr-314	23	1	then	then	ADV
bjmsr-314	23	2	the	the	DET
bjmsr-314	23	3	method	method	NOUN
bjmsr-314	23	4	is	be	AUX
bjmsr-314	23	5	applied	apply	VERB
bjmsr-314	23	6	to	to	ADP
bjmsr-314	23	7	the	the	DET
bjmsr-314	23	8	estimation	estimation	NOUN
bjmsr-314	23	9	of	of	ADP
bjmsr-314	23	10	the	the	DET
bjmsr-314	23	11	lorenz	lorenz	PROPN
bjmsr-314	23	12	curve	curve	PROPN
bjmsr-314	23	13	functional	functional	ADJ
bjmsr-314	23	14	forms	form	NOUN
bjmsr-314	23	15	which	which	PRON
bjmsr-314	23	16	have	have	AUX
bjmsr-314	23	17	been	be	AUX
bjmsr-314	23	18	proposed	propose	VERB
bjmsr-314	23	19	by	by	ADP
bjmsr-314	23	20	gupta	gupta	PROPN
bjmsr-314	23	21	(	(	PUNCT
bjmsr-314	23	22	1984	1984	NUM
bjmsr-314	23	23	)	)	PUNCT
bjmsr-314	23	24	and	and	CCONJ
bjmsr-314	23	25	bidabad	bidabad	VERB
bjmsr-314	23	26	and	and	CCONJ
bjmsr-314	23	27	bidabad	bidabad	ADJ
bjmsr-314	23	28	(	(	PUNCT
bjmsr-314	23	29	1989,92	1989,92	NUM
bjmsr-314	23	30	)	)	PUNCT
bjmsr-314	23	31	.	.	PUNCT
bjmsr-314	24	1	in	in	ADP
bjmsr-314	24	2	the	the	DET
bjmsr-314	24	3	end	end	NOUN
bjmsr-314	24	4	,	,	PUNCT
bjmsr-314	24	5	we	we	PRON
bjmsr-314	24	6	use	use	VERB
bjmsr-314	24	7	our	our	PRON
bjmsr-314	24	8	formulation	formulation	NOUN
bjmsr-314	24	9	to	to	PART
bjmsr-314	24	10	estimate	estimate	VERB
bjmsr-314	24	11	gini	gini	PROPN
bjmsr-314	24	12	ratio	ratio	PROPN
bjmsr-314	24	13	and	and	CCONJ
bjmsr-314	24	14	kakwani	kakwani	PROPN
bjmsr-314	24	15	length	length	NOUN
bjmsr-314	24	16	indices	index	NOUN
bjmsr-314	24	17	of	of	ADP
bjmsr-314	24	18	inequality	inequality	NOUN
bjmsr-314	24	19	for	for	ADP
bjmsr-314	24	20	the	the	DET
bjmsr-314	24	21	united	united	PROPN
bjmsr-314	24	22	states	states	PROPN
bjmsr-314	24	23	for	for	ADP
bjmsr-314	24	24	the	the	DET
bjmsr-314	24	25	period	period	NOUN
bjmsr-314	24	26	of	of	ADP
bjmsr-314	24	27	1971	1971	NUM
bjmsr-314	24	28	-	-	SYM
bjmsr-314	24	29	1990	1990	NUM
bjmsr-314	24	30	,	,	PUNCT
bjmsr-314	24	31	based	base	VERB
bjmsr-314	24	32	on	on	ADP
bjmsr-314	24	33	the	the	DET
bjmsr-314	24	34	assumption	assumption	NOUN
bjmsr-314	24	35	that	that	SCONJ
bjmsr-314	24	36	income	income	NOUN
bjmsr-314	24	37	is	be	AUX
bjmsr-314	24	38	distributed	distribute	VERB
bjmsr-314	24	39	log	log	NOUN
bjmsr-314	24	40	-	-	PUNCT
bjmsr-314	24	41	normally	normally	ADV
bjmsr-314	24	42	.	.	PUNCT
bjmsr-314	25	1	2	2	X
bjmsr-314	25	2	.	.	X
bjmsr-314	25	3	l1	l1	PROPN
bjmsr-314	25	4	norm	norm	NOUN
bjmsr-314	25	5	of	of	ADP
bjmsr-314	25	6	continuous	continuous	ADJ
bjmsr-314	25	7	functions	function	NOUN
bjmsr-314	25	8	generally	generally	ADV
bjmsr-314	25	9	,	,	PUNCT
bjmsr-314	25	10	lp	lp	PRON
bjmsr-314	25	11	norm	norm	NOUN
bjmsr-314	25	12	of	of	ADP
bjmsr-314	25	13	a	a	DET
bjmsr-314	25	14	function	function	NOUN
bjmsr-314	25	15	f(x	f(x	PROPN
bjmsr-314	25	16	)	)	PUNCT
bjmsr-314	25	17	(	(	PUNCT
bjmsr-314	25	18	see	see	VERB
bjmsr-314	25	19	,	,	PUNCT
bjmsr-314	25	20	rice	rice	NOUN
bjmsr-314	25	21	and	and	CCONJ
bjmsr-314	25	22	white	white	ADJ
bjmsr-314	25	23	(	(	PUNCT
bjmsr-314	25	24	1964	1964	NUM
bjmsr-314	25	25	)	)	PUNCT
bjmsr-314	25	26	)	)	PUNCT
bjmsr-314	25	27	is	be	AUX
bjmsr-314	25	28	defined	define	VERB
bjmsr-314	25	29	by	by	ADP
bjmsr-314	25	30	,	,	PUNCT
bjmsr-314	25	31	||f(x)||p	||f(x)||p	PRON
bjmsr-314	25	32	=	=	SYM
bjmsr-314	25	33	∫xεi	∫xεi	X
bjmsr-314	25	34	|f(x)|pdx)1	|f(x)|pdx)1	PROPN
bjmsr-314	25	35	/	/	SYM
bjmsr-314	25	36	p	p	X
bjmsr-314	25	37	(	(	PUNCT
bjmsr-314	25	38	1	1	NUM
bjmsr-314	25	39	)	)	PUNCT
bjmsr-314	25	40	where	where	SCONJ
bjmsr-314	25	41	,	,	PUNCT
bjmsr-314	25	42	"	"	PUNCT
bjmsr-314	25	43	i	i	PRON
bjmsr-314	25	44	"	"	PUNCT
bjmsr-314	25	45	is	be	AUX
bjmsr-314	25	46	a	a	DET
bjmsr-314	25	47	closed	closed	ADJ
bjmsr-314	25	48	bounded	bounded	ADJ
bjmsr-314	25	49	set	set	NOUN
bjmsr-314	25	50	.	.	PUNCT
bjmsr-314	26	1	the	the	DET
bjmsr-314	26	2	l1	l1	PROPN
bjmsr-314	26	3	norm	norm	NOUN
bjmsr-314	26	4	of	of	ADP
bjmsr-314	26	5	f(x	f(x	PROPN
bjmsr-314	26	6	)	)	PUNCT
bjmsr-314	26	7	is	be	AUX
bjmsr-314	26	8	simply	simply	ADV
bjmsr-314	26	9	written	write	VERB
bjmsr-314	26	10	as	as	ADP
bjmsr-314	26	11	,	,	PUNCT
bjmsr-314	26	12	||f(x)||1	||f(x)||1	PRON
bjmsr-314	26	13	=	=	SYM
bjmsr-314	26	14	∫xεi	∫xεi	NOUN
bjmsr-314	26	15	|(x)|dx	|(x)|dx	NUM
bjmsr-314	26	16	(	(	PUNCT
bjmsr-314	26	17	2	2	X
bjmsr-314	26	18	)	)	PUNCT
bjmsr-314	26	19	suppose	suppose	VERB
bjmsr-314	26	20	that	that	SCONJ
bjmsr-314	26	21	the	the	DET
bjmsr-314	26	22	non	non	ADJ
bjmsr-314	26	23	-	-	ADJ
bjmsr-314	26	24	stochastic	stochastic	ADJ
bjmsr-314	26	25	function	function	NOUN
bjmsr-314	26	26	f(x	f(x	PROPN
bjmsr-314	26	27	,	,	PUNCT
bjmsr-314	26	28	β	β	NOUN
bjmsr-314	26	29	)	)	PUNCT
bjmsr-314	26	30	of	of	ADP
bjmsr-314	26	31	"	"	PUNCT
bjmsr-314	26	32	x	x	NOUN
bjmsr-314	26	33	"	"	PUNCT
bjmsr-314	26	34	,	,	PUNCT
bjmsr-314	26	35	is	be	AUX
bjmsr-314	26	36	combined	combine	VERB
bjmsr-314	26	37	with	with	ADP
bjmsr-314	26	38	stochastic	stochastic	ADJ
bjmsr-314	26	39	disturbance	disturbance	NOUN
bjmsr-314	26	40	term	term	NOUN
bjmsr-314	26	41	"	"	PUNCT
bjmsr-314	26	42	u	u	NOUN
bjmsr-314	26	43	"	"	PUNCT
bjmsr-314	26	44	to	to	PART
bjmsr-314	26	45	form	form	VERB
bjmsr-314	26	46	y(x	y(x	NOUN
bjmsr-314	26	47	)	)	PUNCT
bjmsr-314	26	48	as	as	SCONJ
bjmsr-314	26	49	follows	follow	VERB
bjmsr-314	26	50	,	,	PUNCT
bjmsr-314	26	51	y(x	y(x	PROPN
bjmsr-314	26	52	)	)	PUNCT
bjmsr-314	27	1	=	=	SYM
bjmsr-314	27	2	f(x	f(x	PROPN
bjmsr-314	27	3	,	,	PUNCT
bjmsr-314	27	4	β	β	NOUN
bjmsr-314	27	5	)	)	PUNCT
bjmsr-314	28	1	+	+	NUM
bjmsr-314	28	2	u	u	SYM
bjmsr-314	28	3	(	(	PUNCT
bjmsr-314	28	4	3	3	NUM
bjmsr-314	28	5	)	)	PUNCT
bjmsr-314	28	6	mailto:bijan@bidabad.com	mailto:bijan@bidabad.com	NOUN
bjmsr-314	28	7	copyright	copyright	PROPN
bjmsr-314	28	8	©	©	PROPN
bjmsr-314	28	9	cc	cc	PROPN
bjmsr-314	28	10	-	-	PUNCT
bjmsr-314	28	11	by	by	ADP
bjmsr-314	28	12	-	-	PUNCT
bjmsr-314	28	13	nc	nc	PROPN
bjmsr-314	28	14	2019	2019	NUM
bjmsr-314	28	15	,	,	PUNCT
bjmsr-314	28	16	bjmsr	bjmsr	PROPN
bjmsr-314	28	17	www.cribfb.com/journal/index.php/bjmsr	www.cribfb.com/journal/index.php/bjmsr	X
bjmsr-314	28	18	bangladesh	bangladesh	PROPN
bjmsr-314	28	19	journal	journal	PROPN
bjmsr-314	28	20	of	of	ADP
bjmsr-314	28	21	multidisciplinary	multidisciplinary	ADJ
bjmsr-314	28	22	scientific	scientific	ADJ
bjmsr-314	28	23	research	research	NOUN
bjmsr-314	28	24	vol	vol	NOUN
bjmsr-314	28	25	.	.	PROPN
bjmsr-314	29	1	1	1	NUM
bjmsr-314	29	2	,	,	PUNCT
bjmsr-314	29	3	no	no	INTJ
bjmsr-314	29	4	.	.	NOUN
bjmsr-314	29	5	1	1	NUM
bjmsr-314	29	6	;	;	PUNCT
bjmsr-314	29	7	2019	2019	NUM
bjmsr-314	29	8	42	42	NUM
bjmsr-314	29	9	where	where	SCONJ
bjmsr-314	29	10	,	,	PUNCT
bjmsr-314	29	11	β	β	X
bjmsr-314	29	12	is	be	AUX
bjmsr-314	29	13	unknown	unknown	ADJ
bjmsr-314	29	14	parameters	parameter	NOUN
bjmsr-314	29	15	vector	vector	NOUN
bjmsr-314	29	16	.	.	PUNCT
bjmsr-314	30	1	rewriting	rewrite	VERB
bjmsr-314	30	2	u	u	NOUN
bjmsr-314	30	3	as	as	ADP
bjmsr-314	30	4	the	the	DET
bjmsr-314	30	5	residual	residual	NOUN
bjmsr-314	30	6	of	of	ADP
bjmsr-314	30	7	y(x)-f(x	y(x)-f(x	NOUN
bjmsr-314	30	8	,	,	PUNCT
bjmsr-314	30	9	β	β	NOUN
bjmsr-314	30	10	)	)	PUNCT
bjmsr-314	30	11	,	,	PUNCT
bjmsr-314	30	12	for	for	ADP
bjmsr-314	30	13	l1	l1	PROPN
bjmsr-314	30	14	norm	norm	NOUN
bjmsr-314	30	15	approximation	approximation	NOUN
bjmsr-314	30	16	of	of	ADP
bjmsr-314	30	17	"	"	PUNCT
bjmsr-314	30	18	β	β	NOUN
bjmsr-314	30	19	"	"	PUNCT
bjmsr-314	30	20	we	we	PRON
bjmsr-314	30	21	should	should	AUX
bjmsr-314	30	22	find	find	VERB
bjmsr-314	30	23	"	"	PUNCT
bjmsr-314	30	24	β	β	NOUN
bjmsr-314	30	25	"	"	PUNCT
bjmsr-314	30	26	vector	vector	NOUN
bjmsr-314	30	27	such	such	ADJ
bjmsr-314	30	28	that	that	SCONJ
bjmsr-314	30	29	the	the	DET
bjmsr-314	30	30	l1	l1	PROPN
bjmsr-314	30	31	norm	norm	NOUN
bjmsr-314	30	32	of	of	ADP
bjmsr-314	30	33	"	"	PUNCT
bjmsr-314	30	34	u	u	NOUN
bjmsr-314	30	35	"	"	PUNCT
bjmsr-314	30	36	is	be	AUX
bjmsr-314	30	37	minimum	minimum	ADJ
bjmsr-314	30	38	.	.	PUNCT
bjmsr-314	31	1	that	that	PRON
bjmsr-314	31	2	is	be	AUX
bjmsr-314	31	3	,	,	PUNCT
bjmsr-314	31	4	min	min	NOUN
bjmsr-314	31	5	:	:	PUNCT
bjmsr-314	31	6	s=||u||1=||y(x)-f(x	s=||u||1=||y(x)-f(x	NOUN
bjmsr-314	31	7	,	,	PUNCT
bjmsr-314	31	8	β)||1=∫xεi	β)||1=∫xεi	PROPN
bjmsr-314	31	9	|y(x)-f(x	|y(x)-f(x	NOUN
bjmsr-314	31	10	,	,	PUNCT
bjmsr-314	31	11	β)|dx	β)|dx	PROPN
bjmsr-314	31	12	(	(	PUNCT
bjmsr-314	31	13	4	4	NUM
bjmsr-314	31	14	)	)	PUNCT
bjmsr-314	31	15	β	β	NOUN
bjmsr-314	31	16	3	3	NUM
bjmsr-314	31	17	.	.	PUNCT
bjmsr-314	32	1	linear	linear	PROPN
bjmsr-314	32	2	one	one	NUM
bjmsr-314	32	3	parameter	parameter	NOUN
bjmsr-314	32	4	l1	l1	PROPN
bjmsr-314	32	5	norm	norm	VERB
bjmsr-314	32	6	continuous	continuous	ADJ
bjmsr-314	32	7	smoothing	smoothing	NOUN
bjmsr-314	32	8	redefine	redefine	VERB
bjmsr-314	32	9	f(x	f(x	PROPN
bjmsr-314	32	10	,	,	PUNCT
bjmsr-314	32	11	β	β	NOUN
bjmsr-314	32	12	)	)	PUNCT
bjmsr-314	32	13	as	as	ADP
bjmsr-314	32	14	βx	βx	PROPN
bjmsr-314	32	15	and	and	CCONJ
bjmsr-314	32	16	y(x	y(x	NOUN
bjmsr-314	32	17	)	)	PUNCT
bjmsr-314	32	18	as	as	ADP
bjmsr-314	32	19	the	the	DET
bjmsr-314	32	20	following	following	ADJ
bjmsr-314	32	21	linear	linear	PROPN
bjmsr-314	32	22	function	function	NOUN
bjmsr-314	32	23	,	,	PUNCT
bjmsr-314	32	24	y(x	y(x	PROPN
bjmsr-314	32	25	)	)	PUNCT
bjmsr-314	33	1	=	=	SYM
bjmsr-314	33	2	βx	βx	PROPN
bjmsr-314	34	1	+	+	NUM
bjmsr-314	34	2	u	u	X
bjmsr-314	34	3	(	(	PUNCT
bjmsr-314	34	4	5	5	NUM
bjmsr-314	34	5	)	)	PUNCT
bjmsr-314	34	6	where	where	SCONJ
bjmsr-314	34	7	,	,	PUNCT
bjmsr-314	34	8	"	"	PUNCT
bjmsr-314	34	9	β	β	X
bjmsr-314	34	10	"	"	PUNCT
bjmsr-314	34	11	is	be	AUX
bjmsr-314	34	12	a	a	DET
bjmsr-314	34	13	single	single	ADJ
bjmsr-314	34	14	(	(	PUNCT
bjmsr-314	34	15	non	non	ADJ
bjmsr-314	34	16	-	-	NOUN
bjmsr-314	34	17	vector	vector	ADJ
bjmsr-314	34	18	)	)	PUNCT
bjmsr-314	34	19	parameter	parameter	NOUN
bjmsr-314	34	20	.	.	PUNCT
bjmsr-314	35	1	expression	expression	NOUN
bjmsr-314	35	2	(	(	PUNCT
bjmsr-314	35	3	4	4	NUM
bjmsr-314	35	4	)	)	PUNCT
bjmsr-314	35	5	reduces	reduce	VERB
bjmsr-314	35	6	to	to	PART
bjmsr-314	35	7	:	:	PUNCT
bjmsr-314	35	8	min	min	NOUN
bjmsr-314	35	9	:	:	PUNCT
bjmsr-314	35	10	s	s	NOUN
bjmsr-314	35	11	=	=	NOUN
bjmsr-314	35	12	||u||1	||u||1	X
bjmsr-314	35	13	=	=	SYM
bjmsr-314	35	14	||y(x)βx||1	||y(x)βx||1	NOUN
bjmsr-314	35	15	=	=	SYM
bjmsr-314	35	16	∫xεi	∫xεi	X
bjmsr-314	35	17	|y(x)-f(x	|y(x)-f(x	ADP
bjmsr-314	35	18	,	,	PUNCT
bjmsr-314	35	19	β)|dx	β)|dx	PROPN
bjmsr-314	35	20	(	(	PUNCT
bjmsr-314	35	21	6	6	NUM
bjmsr-314	35	22	)	)	PUNCT
bjmsr-314	35	23	β	β	NOUN
bjmsr-314	35	24	the	the	DET
bjmsr-314	35	25	discrete	discrete	ADJ
bjmsr-314	35	26	analog	analog	NOUN
bjmsr-314	35	27	of	of	ADP
bjmsr-314	35	28	(	(	PUNCT
bjmsr-314	35	29	6	6	NUM
bjmsr-314	35	30	)	)	PUNCT
bjmsr-314	35	31	is	be	AUX
bjmsr-314	35	32	solved	solve	VERB
bjmsr-314	35	33	by	by	ADP
bjmsr-314	35	34	bidabad	bidabad	NOUN
bjmsr-314	35	35	(	(	PUNCT
bjmsr-314	35	36	1987a,88a,89a	1987a,88a,89a	NUM
bjmsr-314	35	37	,	,	PUNCT
bjmsr-314	35	38	b	b	NOUN
bjmsr-314	35	39	)	)	PUNCT
bjmsr-314	35	40	.	.	PUNCT
bjmsr-314	36	1	in	in	ADP
bjmsr-314	36	2	these	these	DET
bjmsr-314	36	3	papers	paper	NOUN
bjmsr-314	36	4	,	,	PUNCT
bjmsr-314	36	5	we	we	PRON
bjmsr-314	36	6	proposed	propose	VERB
bjmsr-314	36	7	applying	apply	VERB
bjmsr-314	36	8	discrete	discrete	ADJ
bjmsr-314	36	9	and	and	CCONJ
bjmsr-314	36	10	regular	regular	ADJ
bjmsr-314	36	11	derivatives	derivative	NOUN
bjmsr-314	36	12	to	to	ADP
bjmsr-314	36	13	the	the	DET
bjmsr-314	36	14	discrete	discrete	ADJ
bjmsr-314	36	15	problem	problem	NOUN
bjmsr-314	36	16	by	by	ADP
bjmsr-314	36	17	using	use	VERB
bjmsr-314	36	18	a	a	DET
bjmsr-314	36	19	slack	slack	NOUN
bjmsr-314	36	20	variable	variable	NOUN
bjmsr-314	36	21	"	"	PUNCT
bjmsr-314	36	22	t	t	NOUN
bjmsr-314	36	23	"	"	PUNCT
bjmsr-314	36	24	as	as	ADP
bjmsr-314	36	25	a	a	DET
bjmsr-314	36	26	point	point	NOUN
bjmsr-314	36	27	to	to	PART
bjmsr-314	36	28	distinguish	distinguish	VERB
bjmsr-314	36	29	negative	negative	ADJ
bjmsr-314	36	30	and	and	CCONJ
bjmsr-314	36	31	positive	positive	ADJ
bjmsr-314	36	32	residuals	residual	NOUN
bjmsr-314	36	33	.	.	PUNCT
bjmsr-314	37	1	a	a	DET
bjmsr-314	37	2	similar	similar	ADJ
bjmsr-314	37	3	approach	approach	NOUN
bjmsr-314	37	4	is	be	AUX
bjmsr-314	37	5	used	use	VERB
bjmsr-314	37	6	here	here	ADV
bjmsr-314	37	7	to	to	PART
bjmsr-314	37	8	minimize	minimize	VERB
bjmsr-314	37	9	(	(	PUNCT
bjmsr-314	37	10	6	6	NUM
bjmsr-314	37	11	)	)	PUNCT
bjmsr-314	37	12	.	.	PUNCT
bjmsr-314	38	1	to	to	PART
bjmsr-314	38	2	do	do	VERB
bjmsr-314	38	3	so	so	ADV
bjmsr-314	38	4	in	in	ADP
bjmsr-314	38	5	this	this	DET
bjmsr-314	38	6	case	case	NOUN
bjmsr-314	38	7	,	,	PUNCT
bjmsr-314	38	8	certain	certain	ADJ
bjmsr-314	38	9	lipschitz	lipschitz	NOUN
bjmsr-314	38	10	conditions	condition	NOUN
bjmsr-314	38	11	are	be	AUX
bjmsr-314	38	12	imposed	impose	VERB
bjmsr-314	38	13	on	on	ADP
bjmsr-314	38	14	the	the	DET
bjmsr-314	38	15	functions	function	NOUN
bjmsr-314	38	16	involved	involve	VERB
bjmsr-314	38	17	(	(	PUNCT
bjmsr-314	38	18	see	see	VERB
bjmsr-314	38	19	,	,	PUNCT
bjmsr-314	38	20	usow	usow	NOUN
bjmsr-314	38	21	(	(	PUNCT
bjmsr-314	38	22	1967a	1967a	NUM
bjmsr-314	38	23	)	)	PUNCT
bjmsr-314	38	24	)	)	PUNCT
bjmsr-314	38	25	.	.	PUNCT
bjmsr-314	39	1	rewrite	rewrite	VERB
bjmsr-314	39	2	(	(	PUNCT
bjmsr-314	39	3	6	6	NUM
bjmsr-314	39	4	)	)	PUNCT
bjmsr-314	39	5	as	as	SCONJ
bjmsr-314	39	6	follows	follow	VERB
bjmsr-314	39	7	,	,	PUNCT
bjmsr-314	39	8	min	min	NOUN
bjmsr-314	39	9	:	:	PUNCT
bjmsr-314	39	10	s	s	X
bjmsr-314	39	11	=	=	NOUN
bjmsr-314	39	12	∫xεi	∫xεi	X
bjmsr-314	39	13	|x||y(x)/x	|x||y(x)/x	NOUN
bjmsr-314	39	14	–	–	PUNCT
bjmsr-314	39	15	β|dx	β|dx	PUNCT
bjmsr-314	39	16	(	(	PUNCT
bjmsr-314	39	17	7	7	X
bjmsr-314	39	18	)	)	PUNCT
bjmsr-314	39	19	β	β	NOUN
bjmsr-314	39	20	for	for	ADP
bjmsr-314	39	21	convenience	convenience	NOUN
bjmsr-314	39	22	,	,	PUNCT
bjmsr-314	39	23	define	define	VERB
bjmsr-314	39	24	"	"	PUNCT
bjmsr-314	39	25	i	i	NOUN
bjmsr-314	39	26	"	"	PUNCT
bjmsr-314	39	27	as	as	ADP
bjmsr-314	39	28	a	a	DET
bjmsr-314	39	29	closed	closed	ADJ
bjmsr-314	39	30	interval	interval	NOUN
bjmsr-314	39	31	[	[	X
bjmsr-314	39	32	0,1	0,1	NUM
bjmsr-314	39	33	]	]	PUNCT
bjmsr-314	39	34	.	.	PUNCT
bjmsr-314	40	1	the	the	DET
bjmsr-314	40	2	procedure	procedure	NOUN
bjmsr-314	40	3	may	may	AUX
bjmsr-314	40	4	be	be	AUX
bjmsr-314	40	5	applied	apply	VERB
bjmsr-314	40	6	to	to	ADP
bjmsr-314	40	7	other	other	ADJ
bjmsr-314	40	8	intervals	interval	NOUN
bjmsr-314	40	9	with	with	ADP
bjmsr-314	40	10	no	no	DET
bjmsr-314	40	11	major	major	ADJ
bjmsr-314	40	12	problem	problem	NOUN
bjmsr-314	40	13	(	(	PUNCT
bjmsr-314	40	14	see	see	VERB
bjmsr-314	40	15	,	,	PUNCT
bjmsr-314	40	16	usow	usow	NOUN
bjmsr-314	40	17	(	(	PUNCT
bjmsr-314	40	18	1967a	1967a	NUM
bjmsr-314	40	19	)	)	PUNCT
bjmsr-314	40	20	,	,	PUNCT
bjmsr-314	40	21	hobby	hobby	NOUN
bjmsr-314	40	22	and	and	CCONJ
bjmsr-314	40	23	rice	rice	NOUN
bjmsr-314	40	24	(	(	PUNCT
bjmsr-314	40	25	1965	1965	NUM
bjmsr-314	40	26	)	)	PUNCT
bjmsr-314	40	27	,	,	PUNCT
bjmsr-314	40	28	kripke	kripke	NOUN
bjmsr-314	40	29	and	and	CCONJ
bjmsr-314	40	30	rivlin	rivlin	PROPN
bjmsr-314	40	31	(	(	PUNCT
bjmsr-314	40	32	1965	1965	NUM
bjmsr-314	40	33	)	)	PUNCT
bjmsr-314	40	34	)	)	PUNCT
bjmsr-314	40	35	.	.	PUNCT
bjmsr-314	41	1	to	to	PART
bjmsr-314	41	2	minimize	minimize	VERB
bjmsr-314	41	3	this	this	DET
bjmsr-314	41	4	function	function	NOUN
bjmsr-314	41	5	,	,	PUNCT
bjmsr-314	41	6	we	we	PRON
bjmsr-314	41	7	should	should	AUX
bjmsr-314	41	8	first	first	ADV
bjmsr-314	41	9	remove	remove	VERB
bjmsr-314	41	10	the	the	DET
bjmsr-314	41	11	absolute	absolute	ADJ
bjmsr-314	41	12	value	value	NOUN
bjmsr-314	41	13	sign	sign	NOUN
bjmsr-314	41	14	of	of	ADP
bjmsr-314	41	15	the	the	DET
bjmsr-314	41	16	expression	expression	NOUN
bjmsr-314	41	17	after	after	ADP
bjmsr-314	41	18	the	the	DET
bjmsr-314	41	19	integral	integral	ADJ
bjmsr-314	41	20	sign	sign	NOUN
bjmsr-314	41	21	.	.	PUNCT
bjmsr-314	42	1	since	since	SCONJ
bjmsr-314	42	2	"	"	PUNCT
bjmsr-314	42	3	x	x	X
bjmsr-314	42	4	"	"	PUNCT
bjmsr-314	42	5	belongs	belong	VERB
bjmsr-314	42	6	to	to	ADP
bjmsr-314	42	7	closed	close	VERB
bjmsr-314	42	8	interval	interval	NOUN
bjmsr-314	42	9	"	"	PUNCT
bjmsr-314	42	10	i	i	PRON
bjmsr-314	42	11	"	"	PUNCT
bjmsr-314	42	12	,	,	PUNCT
bjmsr-314	42	13	y(x	y(x	PROPN
bjmsr-314	42	14	)	)	PUNCT
bjmsr-314	42	15	(	(	PUNCT
bjmsr-314	42	16	which	which	PRON
bjmsr-314	42	17	is	be	AUX
bjmsr-314	42	18	a	a	DET
bjmsr-314	42	19	linear	linear	ADJ
bjmsr-314	42	20	function	function	NOUN
bjmsr-314	42	21	of	of	ADP
bjmsr-314	42	22	"	"	PUNCT
bjmsr-314	42	23	x	x	NOUN
bjmsr-314	42	24	"	"	PUNCT
bjmsr-314	42	25	)	)	PUNCT
bjmsr-314	42	26	and	and	CCONJ
bjmsr-314	42	27	also	also	ADV
bjmsr-314	42	28	y(x)/x	y(x)/x	PROPN
bjmsr-314	42	29	are	be	AUX
bjmsr-314	42	30	smooth	smooth	ADJ
bjmsr-314	42	31	and	and	CCONJ
bjmsr-314	42	32	continuous	continuous	ADJ
bjmsr-314	42	33	.	.	PUNCT
bjmsr-314	43	1	thus	thus	ADV
bjmsr-314	43	2	,	,	PUNCT
bjmsr-314	43	3	since	since	SCONJ
bjmsr-314	43	4	y(x)/x	y(x)/x	PROPN
bjmsr-314	43	5	is	be	AUX
bjmsr-314	43	6	uniformly	uniformly	ADV
bjmsr-314	43	7	increasing	increase	VERB
bjmsr-314	43	8	or	or	CCONJ
bjmsr-314	43	9	decreasing	decrease	VERB
bjmsr-314	43	10	function	function	NOUN
bjmsr-314	43	11	of	of	ADP
bjmsr-314	43	12	"	"	PUNCT
bjmsr-314	43	13	x	x	NOUN
bjmsr-314	43	14	"	"	PUNCT
bjmsr-314	43	15	,	,	PUNCT
bjmsr-314	43	16	a	a	DET
bjmsr-314	43	17	value	value	NOUN
bjmsr-314	43	18	of	of	ADP
bjmsr-314	43	19	tєi	tєi	NOUN
bjmsr-314	43	20	can	can	AUX
bjmsr-314	43	21	be	be	AUX
bjmsr-314	43	22	found	find	VERB
bjmsr-314	43	23	to	to	PART
bjmsr-314	43	24	have	have	VERB
bjmsr-314	43	25	the	the	DET
bjmsr-314	43	26	following	follow	VERB
bjmsr-314	43	27	properties	property	NOUN
bjmsr-314	43	28	,	,	PUNCT
bjmsr-314	43	29	y(x)/x	y(x)/x	PROPN
bjmsr-314	43	30	<	<	X
bjmsr-314	43	31	β	β	X
bjmsr-314	43	32	if	if	SCONJ
bjmsr-314	43	33	x	x	X
bjmsr-314	43	34	<	<	X
bjmsr-314	43	35	t	t	X
bjmsr-314	43	36	y(x)/x	y(x)/x	PROPN
bjmsr-314	43	37	=	=	PUNCT
bjmsr-314	43	38	β	β	X
bjmsr-314	43	39	if	if	SCONJ
bjmsr-314	43	40	x	x	PROPN
bjmsr-314	43	41	=	=	SYM
bjmsr-314	43	42	t	t	X
bjmsr-314	43	43	(	(	PUNCT
bjmsr-314	43	44	8)	8)	NUM
bjmsr-314	43	45	y(x)/x	y(x)/x	PROPN
bjmsr-314	43	46	>	>	X
bjmsr-314	43	47	β	β	X
bjmsr-314	44	1	if	if	SCONJ
bjmsr-314	44	2	x	x	PROPN
bjmsr-314	44	3	>	>	X
bjmsr-314	44	4	t	t	PROPN
bjmsr-314	44	5	value	value	NOUN
bjmsr-314	44	6	of	of	ADP
bjmsr-314	44	7	the	the	DET
bjmsr-314	44	8	slack	slack	NOUN
bjmsr-314	44	9	variable	variable	NOUN
bjmsr-314	44	10	"	"	PUNCT
bjmsr-314	44	11	t	t	PROPN
bjmsr-314	44	12	"	"	PUNCT
bjmsr-314	44	13	actually	actually	ADV
bjmsr-314	44	14	is	be	AUX
bjmsr-314	44	15	the	the	DET
bjmsr-314	44	16	border	border	NOUN
bjmsr-314	44	17	of	of	ADP
bjmsr-314	44	18	negative	negative	ADJ
bjmsr-314	44	19	and	and	CCONJ
bjmsr-314	44	20	positive	positive	ADJ
bjmsr-314	44	21	residuals	residual	NOUN
bjmsr-314	44	22	.	.	PUNCT
bjmsr-314	45	1	if	if	SCONJ
bjmsr-314	45	2	the	the	DET
bjmsr-314	45	3	value	value	NOUN
bjmsr-314	45	4	of	of	ADP
bjmsr-314	45	5	"	"	PUNCT
bjmsr-314	45	6	t	t	PROPN
bjmsr-314	45	7	"	"	PUNCT
bjmsr-314	45	8	were	be	AUX
bjmsr-314	45	9	known	know	VERB
bjmsr-314	45	10	,	,	PUNCT
bjmsr-314	45	11	from	from	ADP
bjmsr-314	45	12	(	(	PUNCT
bjmsr-314	45	13	8)	8)	NUM
bjmsr-314	45	14	(	(	PUNCT
bjmsr-314	45	15	middle	middle	ADJ
bjmsr-314	45	16	equation	equation	NOUN
bjmsr-314	45	17	)	)	PUNCT
bjmsr-314	45	18	,	,	PUNCT
bjmsr-314	45	19	we	we	PRON
bjmsr-314	45	20	could	could	AUX
bjmsr-314	45	21	calculate	calculate	VERB
bjmsr-314	45	22	the	the	DET
bjmsr-314	45	23	optimal	optimal	ADJ
bjmsr-314	45	24	value	value	NOUN
bjmsr-314	45	25	of	of	ADP
bjmsr-314	45	26	"	"	PUNCT
bjmsr-314	45	27	β	β	NOUN
bjmsr-314	45	28	"	"	PUNCT
bjmsr-314	45	29	or	or	CCONJ
bjmsr-314	45	30	inversely	inversely	ADV
bjmsr-314	45	31	.	.	PUNCT
bjmsr-314	46	1	but	but	CCONJ
bjmsr-314	46	2	nor	nor	CCONJ
bjmsr-314	46	3	"	"	PUNCT
bjmsr-314	46	4	t	t	PROPN
bjmsr-314	46	5	"	"	PUNCT
bjmsr-314	46	6	neither	neither	CCONJ
bjmsr-314	46	7	"	"	PUNCT
bjmsr-314	46	8	β	β	X
bjmsr-314	46	9	"	"	PUNCT
bjmsr-314	46	10	are	be	AUX
bjmsr-314	46	11	known	know	VERB
bjmsr-314	46	12	.	.	PUNCT
bjmsr-314	47	1	to	to	PART
bjmsr-314	47	2	solve	solve	VERB
bjmsr-314	47	3	this	this	DET
bjmsr-314	47	4	problem	problem	NOUN
bjmsr-314	47	5	,	,	PUNCT
bjmsr-314	47	6	according	accord	VERB
bjmsr-314	47	7	to	to	ADP
bjmsr-314	47	8	(	(	PUNCT
bjmsr-314	47	9	8)	8)	NUM
bjmsr-314	47	10	,	,	PUNCT
bjmsr-314	47	11	we	we	PRON
bjmsr-314	47	12	can	can	AUX
bjmsr-314	47	13	rewrite	rewrite	VERB
bjmsr-314	47	14	(	(	PUNCT
bjmsr-314	47	15	7	7	NUM
bjmsr-314	47	16	)	)	PUNCT
bjmsr-314	47	17	as	as	ADP
bjmsr-314	47	18	two	two	NUM
bjmsr-314	47	19	separate	separate	ADJ
bjmsr-314	47	20	definite	definite	ADJ
bjmsr-314	47	21	integrals	integral	NOUN
bjmsr-314	47	22	with	with	ADP
bjmsr-314	47	23	different	different	ADJ
bjmsr-314	47	24	upper	upper	ADJ
bjmsr-314	47	25	and	and	CCONJ
bjmsr-314	47	26	lower	low	ADJ
bjmsr-314	47	27	bounds	bound	NOUN
bjmsr-314	47	28	.	.	PUNCT
bjmsr-314	48	1	⌠t	⌠t	VERB
bjmsr-314	48	2	⌠1	⌠1	PROPN
bjmsr-314	48	3	min	min	PROPN
bjmsr-314	48	4	:	:	PUNCT
bjmsr-314	48	5	s	s	PART
bjmsr-314	49	1	=	=	PUNCT
bjmsr-314	49	2	⌡0	⌡0	PRON
bjmsr-314	49	3	|x|	|x|	PROPN
bjmsr-314	49	4	(	(	PUNCT
bjmsr-314	49	5	y(x)/x	y(x)/x	PROPN
bjmsr-314	49	6	β)dx	β)dx	PROPN
bjmsr-314	49	7	+	+	PROPN
bjmsr-314	49	8	⌡t	⌡t	ADJ
bjmsr-314	49	9	|x|	|x|	PROPN
bjmsr-314	49	10	(	(	PUNCT
bjmsr-314	49	11	y(x)/x	y(x)/x	PROPN
bjmsr-314	49	12	β)dx	β)dx	PROPN
bjmsr-314	49	13	(	(	PUNCT
bjmsr-314	49	14	9	9	NUM
bjmsr-314	49	15	)	)	PUNCT
bjmsr-314	49	16	β	β	NOUN
bjmsr-314	49	17	decomposition	decomposition	NOUN
bjmsr-314	49	18	of	of	ADP
bjmsr-314	49	19	(	(	PUNCT
bjmsr-314	49	20	7	7	NUM
bjmsr-314	49	21	)	)	PUNCT
bjmsr-314	49	22	into	into	ADP
bjmsr-314	49	23	(	(	PUNCT
bjmsr-314	49	24	8)	8)	NUM
bjmsr-314	49	25	has	have	AUX
bjmsr-314	49	26	been	be	AUX
bjmsr-314	49	27	done	do	VERB
bjmsr-314	49	28	by	by	ADP
bjmsr-314	49	29	use	use	NOUN
bjmsr-314	49	30	of	of	ADP
bjmsr-314	49	31	the	the	DET
bjmsr-314	49	32	slack	slack	NOUN
bjmsr-314	49	33	variable	variable	NOUN
bjmsr-314	49	34	"	"	PUNCT
bjmsr-314	49	35	t	t	PROPN
bjmsr-314	49	36	"	"	PUNCT
bjmsr-314	49	37	.	.	PUNCT
bjmsr-314	50	1	since	since	SCONJ
bjmsr-314	50	2	both	both	PRON
bjmsr-314	50	3	"	"	PUNCT
bjmsr-314	50	4	β	β	X
bjmsr-314	50	5	"	"	PUNCT
bjmsr-314	50	6	and	and	CCONJ
bjmsr-314	50	7	"	"	PUNCT
bjmsr-314	50	8	t	t	PROPN
bjmsr-314	50	9	"	"	PUNCT
bjmsr-314	50	10	are	be	AUX
bjmsr-314	50	11	unknown	unknown	ADJ
bjmsr-314	50	12	,	,	PUNCT
bjmsr-314	50	13	to	to	PART
bjmsr-314	50	14	solve	solve	VERB
bjmsr-314	50	15	(	(	PUNCT
bjmsr-314	50	16	9	9	NUM
bjmsr-314	50	17	)	)	PUNCT
bjmsr-314	50	18	,	,	PUNCT
bjmsr-314	50	19	we	we	PRON
bjmsr-314	50	20	partially	partially	ADV
bjmsr-314	50	21	differentiate	differentiate	VERB
bjmsr-314	50	22	it	it	PRON
bjmsr-314	50	23	with	with	ADP
bjmsr-314	50	24	respect	respect	NOUN
bjmsr-314	50	25	to	to	ADP
bjmsr-314	50	26	"	"	PUNCT
bjmsr-314	50	27	t	t	PROPN
bjmsr-314	50	28	"	"	PUNCT
bjmsr-314	50	29	and	and	CCONJ
bjmsr-314	50	30	"	"	PUNCT
bjmsr-314	50	31	β	β	NOUN
bjmsr-314	50	32	"	"	PUNCT
bjmsr-314	50	33	variables	variable	NOUN
bjmsr-314	50	34	.	.	PUNCT
bjmsr-314	51	1	δs	δs	NOUN
bjmsr-314	51	2	⌠t	⌠t	VERB
bjmsr-314	51	3	⌠1	⌠1	PROPN
bjmsr-314	51	4	─	─	PROPN
bjmsr-314	51	5	─	─	PROPN
bjmsr-314	51	6	─	─	PROPN
bjmsr-314	51	7	=	=	PUNCT
bjmsr-314	52	1	⌡0	⌡0	ADP
bjmsr-314	52	2	|x|dx	|x|dx	ADJ
bjmsr-314	52	3	⌡t	⌡t	ADJ
bjmsr-314	52	4	|x|dx	|x|dx	NOUN
bjmsr-314	52	5	=	=	SYM
bjmsr-314	52	6	0	0	NUM
bjmsr-314	52	7	(	(	PUNCT
bjmsr-314	52	8	10	10	NUM
bjmsr-314	52	9	)	)	PUNCT
bjmsr-314	52	10	δβ	δβ	NOUN
bjmsr-314	52	11	and	and	CCONJ
bjmsr-314	52	12	using	use	VERB
bjmsr-314	52	13	liebniz	liebniz	NOUN
bjmsr-314	52	14	'	'	PART
bjmsr-314	52	15	rule	rule	NOUN
bjmsr-314	52	16	to	to	PART
bjmsr-314	52	17	differentiate	differentiate	VERB
bjmsr-314	52	18	the	the	DET
bjmsr-314	52	19	integrals	integral	NOUN
bjmsr-314	52	20	with	with	ADP
bjmsr-314	52	21	respect	respect	NOUN
bjmsr-314	52	22	to	to	ADP
bjmsr-314	52	23	their	their	PRON
bjmsr-314	52	24	variable	variable	ADJ
bjmsr-314	52	25	bounds	bound	NOUN
bjmsr-314	52	26	"	"	PUNCT
bjmsr-314	52	27	t	t	PROPN
bjmsr-314	52	28	"	"	PUNCT
bjmsr-314	52	29	,	,	PUNCT
bjmsr-314	52	30	yields	yield	NOUN
bjmsr-314	52	31	,	,	PUNCT
bjmsr-314	52	32	δs	δs	ADP
bjmsr-314	52	33	y(t	y(t	PROPN
bjmsr-314	52	34	)	)	PUNCT
bjmsr-314	52	35	y(t	y(t	NUM
bjmsr-314	52	36	)	)	PUNCT
bjmsr-314	53	1	─	─	PROPN
bjmsr-314	53	2	─	─	PROPN
bjmsr-314	53	3	─	─	PROPN
bjmsr-314	54	1	=	=	PUNCT
bjmsr-314	54	2	-|t|	-|t|	PROPN
bjmsr-314	55	1	[	[	X
bjmsr-314	55	2	─	─	X
bjmsr-314	55	3	─	─	X
bjmsr-314	55	4	─	─	X
bjmsr-314	55	5	β	β	X
bjmsr-314	55	6	]	]	PUNCT
bjmsr-314	55	7	|t|	|t|	PROPN
bjmsr-314	55	8	[	[	X
bjmsr-314	55	9	─	─	X
bjmsr-314	55	10	─	─	X
bjmsr-314	55	11	─	─	X
bjmsr-314	55	12	β	β	X
bjmsr-314	55	13	]	]	X
bjmsr-314	55	14	=	=	SYM
bjmsr-314	55	15	0	0	PUNCT
bjmsr-314	55	16	(	(	PUNCT
bjmsr-314	55	17	11	11	NUM
bjmsr-314	55	18	)	)	PUNCT
bjmsr-314	55	19	δt	δt	VERB
bjmsr-314	55	20	t	t	PROPN
bjmsr-314	55	21	t	t	PROPN
bjmsr-314	55	22	since	since	SCONJ
bjmsr-314	55	23	"	"	PUNCT
bjmsr-314	55	24	x	x	X
bjmsr-314	55	25	"	"	PUNCT
bjmsr-314	55	26	belongs	belong	VERB
bjmsr-314	55	27	to	to	ADP
bjmsr-314	55	28	[	[	X
bjmsr-314	55	29	0,1	0,1	NUM
bjmsr-314	55	30	]	]	PUNCT
bjmsr-314	55	31	,	,	PUNCT
bjmsr-314	55	32	equation	equation	NOUN
bjmsr-314	55	33	(	(	PUNCT
bjmsr-314	55	34	10	10	NUM
bjmsr-314	55	35	)	)	PUNCT
bjmsr-314	55	36	can	can	AUX
bjmsr-314	55	37	be	be	AUX
bjmsr-314	55	38	written	write	VERB
bjmsr-314	55	39	as	as	ADP
bjmsr-314	55	40	,	,	PUNCT
bjmsr-314	55	41	⌠t	⌠t	VERB
bjmsr-314	56	1	⌠1	⌠1	PROPN
bjmsr-314	56	2	⌡0	⌡0	PROPN
bjmsr-314	56	3	xdx	xdx	PROPN
bjmsr-314	56	4	⌡t	⌡t	PROPN
bjmsr-314	56	5	xdx	xdx	PROPN
bjmsr-314	57	1	=	=	SYM
bjmsr-314	57	2	0	0	PROPN
bjmsr-314	57	3	(	(	PUNCT
bjmsr-314	57	4	12	12	NUM
bjmsr-314	57	5	)	)	PUNCT
bjmsr-314	57	6	or	or	CCONJ
bjmsr-314	57	7	,	,	PUNCT
bjmsr-314	57	8	½	½	NOUN
bjmsr-314	57	9	t2	t2	PROPN
bjmsr-314	57	10	½	½	NOUN
bjmsr-314	57	11	+	+	CCONJ
bjmsr-314	57	12	½t2	½t2	PUNCT
bjmsr-314	57	13	=	=	SYM
bjmsr-314	57	14	0	0	NUM
bjmsr-314	57	15	(	(	PUNCT
bjmsr-314	57	16	13	13	NUM
bjmsr-314	57	17	)	)	PUNCT
bjmsr-314	57	18	which	which	PRON
bjmsr-314	57	19	yields	yield	VERB
bjmsr-314	57	20	,	,	PUNCT
bjmsr-314	57	21	t	t	PROPN
bjmsr-314	57	22	=	=	SYM
bjmsr-314	57	23	√2/2	√2/2	X
bjmsr-314	57	24	(	(	PUNCT
bjmsr-314	57	25	14	14	NUM
bjmsr-314	57	26	)	)	PUNCT
bjmsr-314	57	27	substitute	substitute	NOUN
bjmsr-314	57	28	for	for	ADP
bjmsr-314	57	29	"	"	PUNCT
bjmsr-314	57	30	t	t	PROPN
bjmsr-314	57	31	"	"	PUNCT
bjmsr-314	57	32	in	in	ADP
bjmsr-314	57	33	equation	equation	NOUN
bjmsr-314	57	34	(	(	PUNCT
bjmsr-314	57	35	11	11	NUM
bjmsr-314	57	36	)	)	PUNCT
bjmsr-314	57	37	,	,	PUNCT
bjmsr-314	57	38	yields	yield	NOUN
bjmsr-314	57	39	,	,	PUNCT
bjmsr-314	57	40	y(√2/2	y(√2/2	PROPN
bjmsr-314	57	41	)	)	PUNCT
bjmsr-314	57	42	β	β	X
bjmsr-314	57	43	=	=	PUNCT
bjmsr-314	58	1	─	─	PUNCT
bjmsr-314	58	2	─	─	ADJ
bjmsr-314	58	3	─	─	ADJ
bjmsr-314	58	4	─	─	ADJ
bjmsr-314	58	5	─	─	X
bjmsr-314	58	6	(	(	PUNCT
bjmsr-314	58	7	15	15	NUM
bjmsr-314	58	8	)	)	PUNCT
bjmsr-314	58	9	√2/2	√2/2	VERB
bjmsr-314	58	10	remember	remember	VERB
bjmsr-314	58	11	that	that	SCONJ
bjmsr-314	58	12	y(t	y(t	PROPN
bjmsr-314	58	13	)	)	PUNCT
bjmsr-314	58	14	is	be	AUX
bjmsr-314	58	15	function	function	NOUN
bjmsr-314	58	16	y(x	y(x	NOUN
bjmsr-314	58	17	)	)	PUNCT
bjmsr-314	58	18	evaluated	evaluate	VERB
bjmsr-314	58	19	at	at	ADP
bjmsr-314	58	20	x	x	X
bjmsr-314	58	21	=	=	NOUN
bjmsr-314	58	22	t.	t.	ADJ
bjmsr-314	58	23	value	value	NOUN
bjmsr-314	58	24	of	of	ADP
bjmsr-314	58	25	"	"	PUNCT
bjmsr-314	58	26	β	β	NOUN
bjmsr-314	58	27	"	"	PUNCT
bjmsr-314	58	28	given	give	VERB
bjmsr-314	58	29	by	by	ADP
bjmsr-314	58	30	(	(	PUNCT
bjmsr-314	58	31	15	15	NUM
bjmsr-314	58	32	)	)	PUNCT
bjmsr-314	58	33	is	be	AUX
bjmsr-314	58	34	the	the	DET
bjmsr-314	58	35	optimal	optimal	ADJ
bjmsr-314	58	36	solution	solution	NOUN
bjmsr-314	58	37	of	of	ADP
bjmsr-314	58	38	(	(	PUNCT
bjmsr-314	58	39	6	6	NUM
bjmsr-314	58	40	)	)	PUNCT
bjmsr-314	58	41	.	.	PUNCT
bjmsr-314	59	1	the	the	DET
bjmsr-314	59	2	above	above	ADJ
bjmsr-314	59	3	procedure	procedure	NOUN
bjmsr-314	59	4	actually	actually	ADV
bjmsr-314	59	5	is	be	AUX
bjmsr-314	59	6	a	a	DET
bjmsr-314	59	7	generalization	generalization	NOUN
bjmsr-314	59	8	of	of	ADP
bjmsr-314	59	9	laplace	laplace	NOUN
bjmsr-314	59	10	weighted	weight	VERB
bjmsr-314	59	11	median	median	NOUN
bjmsr-314	59	12	for	for	ADP
bjmsr-314	59	13	the	the	DET
bjmsr-314	59	14	continuous	continuous	ADJ
bjmsr-314	59	15	case	case	NOUN
bjmsr-314	59	16	.	.	PUNCT
bjmsr-314	60	1	before	before	ADP
bjmsr-314	60	2	applying	apply	VERB
bjmsr-314	60	3	this	this	DET
bjmsr-314	60	4	procedure	procedure	NOUN
bjmsr-314	60	5	to	to	ADP
bjmsr-314	60	6	the	the	DET
bjmsr-314	60	7	lorenz	lorenz	PROPN
bjmsr-314	60	8	curve	curve	NOUN
bjmsr-314	60	9	,	,	PUNCT
bjmsr-314	60	10	let	let	VERB
bjmsr-314	60	11	us	we	PRON
bjmsr-314	60	12	develop	develop	VERB
bjmsr-314	60	13	the	the	DET
bjmsr-314	60	14	procedure	procedure	NOUN
bjmsr-314	60	15	for	for	ADP
bjmsr-314	60	16	the	the	DET
bjmsr-314	60	17	two	two	NUM
bjmsr-314	60	18	parameters	parameter	NOUN
bjmsr-314	60	19	linear	linear	PROPN
bjmsr-314	60	20	model	model	NOUN
bjmsr-314	60	21	.	.	PUNCT
bjmsr-314	61	1	copyright	copyright	NOUN
bjmsr-314	61	2	©	©	PROPN
bjmsr-314	61	3	cc	cc	PROPN
bjmsr-314	61	4	-	-	PUNCT
bjmsr-314	61	5	by	by	ADP
bjmsr-314	61	6	-	-	PUNCT
bjmsr-314	61	7	nc	nc	PROPN
bjmsr-314	61	8	2019	2019	NUM
bjmsr-314	61	9	,	,	PUNCT
bjmsr-314	61	10	bjmsr	bjmsr	PROPN
bjmsr-314	61	11	www.cribfb.com/journal/index.php/bjmsr	www.cribfb.com/journal/index.php/bjmsr	X
bjmsr-314	62	1	bangladesh	bangladesh	PROPN
bjmsr-314	62	2	journal	journal	PROPN
bjmsr-314	62	3	of	of	ADP
bjmsr-314	62	4	multidisciplinary	multidisciplinary	ADJ
bjmsr-314	62	5	scientific	scientific	ADJ
bjmsr-314	62	6	research	research	NOUN
bjmsr-314	62	7	vol	vol	NOUN
bjmsr-314	62	8	.	.	PROPN
bjmsr-314	62	9	1	1	NUM
bjmsr-314	62	10	,	,	PUNCT
bjmsr-314	62	11	no	no	INTJ
bjmsr-314	62	12	.	.	NOUN
bjmsr-314	62	13	1	1	NUM
bjmsr-314	62	14	;	;	PUNCT
bjmsr-314	62	15	2019	2019	NUM
bjmsr-314	62	16	43	43	NUM
bjmsr-314	62	17	4	4	NUM
bjmsr-314	62	18	.	.	PUNCT
bjmsr-314	63	1	linear	linear	PROPN
bjmsr-314	63	2	two	two	NUM
bjmsr-314	63	3	parameters	parameter	NOUN
bjmsr-314	63	4	l1	l1	PROPN
bjmsr-314	63	5	norm	norm	VERB
bjmsr-314	63	6	continuous	continuous	ADJ
bjmsr-314	63	7	smoothing	smoothing	NOUN
bjmsr-314	63	8	now	now	ADV
bjmsr-314	63	9	,	,	PUNCT
bjmsr-314	63	10	we	we	PRON
bjmsr-314	63	11	try	try	VERB
bjmsr-314	63	12	to	to	PART
bjmsr-314	63	13	apply	apply	VERB
bjmsr-314	63	14	the	the	DET
bjmsr-314	63	15	above	above	ADJ
bjmsr-314	63	16	technique	technique	NOUN
bjmsr-314	63	17	to	to	ADP
bjmsr-314	63	18	the	the	DET
bjmsr-314	63	19	linear	linear	ADJ
bjmsr-314	63	20	two	two	NUM
bjmsr-314	63	21	parameters	parameter	NOUN
bjmsr-314	63	22	model	model	NOUN
bjmsr-314	63	23	.	.	PUNCT
bjmsr-314	64	1	rewrite	rewrite	VERB
bjmsr-314	64	2	(	(	PUNCT
bjmsr-314	64	3	4	4	NUM
bjmsr-314	64	4	)	)	PUNCT
bjmsr-314	64	5	as	as	ADP
bjmsr-314	64	6	,	,	PUNCT
bjmsr-314	64	7	min	min	NOUN
bjmsr-314	64	8	:	:	PUNCT
bjmsr-314	64	9	s=||u||1=||y(x)-α	s=||u||1=||y(x)-α	PROPN
bjmsr-314	64	10	-	-	PUNCT
bjmsr-314	64	11	βx||1=∫xεi	βx||1=∫xεi	PUNCT
bjmsr-314	64	12	|y(x)-α	|y(x)-α	PROPN
bjmsr-314	64	13	-	-	PUNCT
bjmsr-314	64	14	βx|dx	βx|dx	NOUN
bjmsr-314	64	15	(	(	PUNCT
bjmsr-314	64	16	16	16	NUM
bjmsr-314	64	17	)	)	PUNCT
bjmsr-314	64	18	α	α	NOUN
bjmsr-314	64	19	,	,	PUNCT
bjmsr-314	64	20	β	β	X
bjmsr-314	64	21	where	where	SCONJ
bjmsr-314	64	22	,	,	PUNCT
bjmsr-314	64	23	"	"	PUNCT
bjmsr-314	64	24	α	α	X
bjmsr-314	64	25	"	"	PUNCT
bjmsr-314	64	26	and	and	CCONJ
bjmsr-314	64	27	"	"	PUNCT
bjmsr-314	64	28	β	β	X
bjmsr-314	64	29	"	"	PUNCT
bjmsr-314	64	30	are	be	AUX
bjmsr-314	64	31	two	two	NUM
bjmsr-314	64	32	single	single	ADJ
bjmsr-314	64	33	(	(	PUNCT
bjmsr-314	64	34	non	non	ADJ
bjmsr-314	64	35	-	-	NOUN
bjmsr-314	64	36	vector	vector	ADJ
bjmsr-314	64	37	)	)	PUNCT
bjmsr-314	64	38	unknown	unknown	ADJ
bjmsr-314	64	39	parameters	parameter	NOUN
bjmsr-314	64	40	and	and	CCONJ
bjmsr-314	64	41	y(x	y(x	NOUN
bjmsr-314	64	42	)	)	PUNCT
bjmsr-314	64	43	and	and	CCONJ
bjmsr-314	64	44	"	"	PUNCT
bjmsr-314	64	45	x	x	X
bjmsr-314	64	46	"	"	PUNCT
bjmsr-314	64	47	are	be	AUX
bjmsr-314	64	48	as	as	ADP
bjmsr-314	64	49	before	before	ADV
bjmsr-314	64	50	.	.	PUNCT
bjmsr-314	65	1	according	accord	VERB
bjmsr-314	65	2	to	to	ADP
bjmsr-314	65	3	rice	rice	NOUN
bjmsr-314	65	4	(	(	PUNCT
bjmsr-314	65	5	1964c	1964c	NUM
bjmsr-314	65	6	)	)	PUNCT
bjmsr-314	65	7	,	,	PUNCT
bjmsr-314	65	8	let	let	VERB
bjmsr-314	65	9	f(α*,β*,x	f(α*,β*,x	NOUN
bjmsr-314	65	10	)	)	PUNCT
bjmsr-314	65	11	interpolates	interpolate	VERB
bjmsr-314	65	12	y(x	y(x	NOUN
bjmsr-314	65	13	)	)	PUNCT
bjmsr-314	65	14	at	at	ADP
bjmsr-314	65	15	the	the	DET
bjmsr-314	65	16	set	set	NOUN
bjmsr-314	65	17	of	of	ADP
bjmsr-314	65	18	canonical	canonical	ADJ
bjmsr-314	65	19	points	point	NOUN
bjmsr-314	65	20	{	{	PUNCT
bjmsr-314	65	21	xi;i=1,2	xi;i=1,2	NUM
bjmsr-314	65	22	}	}	PUNCT
bjmsr-314	65	23	,	,	PUNCT
bjmsr-314	65	24	if	if	SCONJ
bjmsr-314	65	25	y(x	y(x	NOUN
bjmsr-314	65	26	)	)	PUNCT
bjmsr-314	65	27	is	be	AUX
bjmsr-314	65	28	such	such	ADJ
bjmsr-314	65	29	that	that	PRON
bjmsr-314	65	30	y(x)-f(α*,β*,x	y(x)-f(α*,β*,x	NOUN
bjmsr-314	65	31	)	)	PUNCT
bjmsr-314	65	32	changes	change	NOUN
bjmsr-314	65	33	sign	sign	VERB
bjmsr-314	65	34	at	at	ADP
bjmsr-314	65	35	these	these	DET
bjmsr-314	65	36	xi	xi	NOUN
bjmsr-314	65	37	's	's	PART
bjmsr-314	65	38	and	and	CCONJ
bjmsr-314	65	39	at	at	ADP
bjmsr-314	65	40	no	no	DET
bjmsr-314	65	41	other	other	ADJ
bjmsr-314	65	42	points	point	NOUN
bjmsr-314	65	43	in	in	ADP
bjmsr-314	65	44	[	[	X
bjmsr-314	65	45	0,1	0,1	NUM
bjmsr-314	65	46	]	]	PUNCT
bjmsr-314	65	47	,	,	PUNCT
bjmsr-314	65	48	then	then	ADV
bjmsr-314	65	49	f(α*,β*,x	f(α*,β*,x	NOUN
bjmsr-314	65	50	)	)	PUNCT
bjmsr-314	65	51	is	be	AUX
bjmsr-314	65	52	the	the	DET
bjmsr-314	65	53	best	good	ADJ
bjmsr-314	65	54	l1	l1	PROPN
bjmsr-314	65	55	norm	norm	NOUN
bjmsr-314	65	56	approximation	approximation	NOUN
bjmsr-314	65	57	to	to	ADP
bjmsr-314	65	58	y(x	y(x	NOUN
bjmsr-314	65	59	)	)	PUNCT
bjmsr-314	65	60	(	(	PUNCT
bjmsr-314	65	61	see	see	VERB
bjmsr-314	65	62	also	also	ADV
bjmsr-314	65	63	,	,	PUNCT
bjmsr-314	65	64	usow	usow	NOUN
bjmsr-314	65	65	(	(	PUNCT
bjmsr-314	65	66	1967a	1967a	NUM
bjmsr-314	65	67	)	)	PUNCT
bjmsr-314	65	68	)	)	PUNCT
bjmsr-314	65	69	.	.	PUNCT
bjmsr-314	66	1	with	with	ADP
bjmsr-314	66	2	the	the	DET
bjmsr-314	66	3	help	help	NOUN
bjmsr-314	66	4	of	of	ADP
bjmsr-314	66	5	this	this	DET
bjmsr-314	66	6	rule	rule	NOUN
bjmsr-314	66	7	,	,	PUNCT
bjmsr-314	66	8	if	if	SCONJ
bjmsr-314	66	9	we	we	PRON
bjmsr-314	66	10	denote	denote	VERB
bjmsr-314	66	11	these	these	DET
bjmsr-314	66	12	two	two	NUM
bjmsr-314	66	13	points	point	NOUN
bjmsr-314	66	14	to	to	ADP
bjmsr-314	66	15	t1	t1	VERB
bjmsr-314	66	16	and	and	CCONJ
bjmsr-314	66	17	t2	t2	NOUN
bjmsr-314	66	18	we	we	PRON
bjmsr-314	66	19	can	can	AUX
bjmsr-314	66	20	rewrite	rewrite	VERB
bjmsr-314	66	21	(	(	PUNCT
bjmsr-314	66	22	16	16	NUM
bjmsr-314	66	23	)	)	PUNCT
bjmsr-314	66	24	for	for	ADP
bjmsr-314	66	25	i=[0,1	i=[0,1	PROPN
bjmsr-314	66	26	]	]	PUNCT
bjmsr-314	66	27	as	as	ADP
bjmsr-314	66	28	,	,	PUNCT
bjmsr-314	66	29	⌠t1	⌠t1	PROPN
bjmsr-314	66	30	⌠t2	⌠t2	X
bjmsr-314	66	31	⌠1	⌠1	PROPN
bjmsr-314	66	32	s	s	PART
bjmsr-314	67	1	=	=	PUNCT
bjmsr-314	67	2	⌡0	⌡0	PRON
bjmsr-314	68	1	[	[	X
bjmsr-314	68	2	y(x)-α	y(x)-α	PROPN
bjmsr-314	68	3	-	-	PUNCT
bjmsr-314	68	4	βx]dx	βx]dx	ADJ
bjmsr-314	68	5	⌡t1	⌡t1	PROPN
bjmsr-314	69	1	[	[	X
bjmsr-314	69	2	y(x)-α	y(x)-α	PROPN
bjmsr-314	69	3	-	-	PUNCT
bjmsr-314	69	4	βx]dx	βx]dx	NOUN
bjmsr-314	69	5	+	+	CCONJ
bjmsr-314	69	6	⌡t2	⌡t2	X
bjmsr-314	69	7	[	[	X
bjmsr-314	69	8	y(x)-α	y(x)-α	PROPN
bjmsr-314	69	9	-	-	NOUN
bjmsr-314	69	10	βx]dx	βx]dx	PROPN
bjmsr-314	69	11	(	(	PUNCT
bjmsr-314	69	12	17	17	NUM
bjmsr-314	69	13	)	)	PUNCT
bjmsr-314	69	14	since	since	SCONJ
bjmsr-314	69	15	t1	t1	NOUN
bjmsr-314	69	16	and	and	CCONJ
bjmsr-314	69	17	t2	t2	NOUN
bjmsr-314	69	18	are	be	AUX
bjmsr-314	69	19	also	also	ADV
bjmsr-314	69	20	unknowns	unknown	NOUN
bjmsr-314	69	21	,	,	PUNCT
bjmsr-314	69	22	we	we	PRON
bjmsr-314	69	23	should	should	AUX
bjmsr-314	69	24	minimize	minimize	VERB
bjmsr-314	69	25	s	s	PRON
bjmsr-314	69	26	with	with	ADP
bjmsr-314	69	27	respect	respect	NOUN
bjmsr-314	69	28	to	to	ADP
bjmsr-314	69	29	α	α	PRON
bjmsr-314	69	30	,	,	PUNCT
bjmsr-314	69	31	β	β	PROPN
bjmsr-314	69	32	,	,	PUNCT
bjmsr-314	69	33	t1	t1	NOUN
bjmsr-314	69	34	and	and	CCONJ
bjmsr-314	69	35	t2	t2	NOUN
bjmsr-314	69	36	.	.	PUNCT
bjmsr-314	70	1	taking	take	VERB
bjmsr-314	70	2	partial	partial	ADJ
bjmsr-314	70	3	derivative	derivative	NOUN
bjmsr-314	70	4	of	of	ADP
bjmsr-314	70	5	(	(	PUNCT
bjmsr-314	70	6	17	17	NUM
bjmsr-314	70	7	)	)	PUNCT
bjmsr-314	70	8	using	use	VERB
bjmsr-314	70	9	liebniz	liebniz	NOUN
bjmsr-314	70	10	'	'	PART
bjmsr-314	70	11	rule	rule	NOUN
bjmsr-314	70	12	with	with	ADP
bjmsr-314	70	13	respect	respect	NOUN
bjmsr-314	70	14	to	to	ADP
bjmsr-314	70	15	these	these	DET
bjmsr-314	70	16	variables	variable	NOUN
bjmsr-314	70	17	and	and	CCONJ
bjmsr-314	70	18	equating	equate	VERB
bjmsr-314	70	19	them	they	PRON
bjmsr-314	70	20	to	to	ADP
bjmsr-314	70	21	zero	zero	NUM
bjmsr-314	70	22	,	,	PUNCT
bjmsr-314	70	23	we	we	PRON
bjmsr-314	70	24	will	will	AUX
bjmsr-314	70	25	have	have	AUX
bjmsr-314	70	26	,	,	PUNCT
bjmsr-314	70	27	δs	δs	VERB
bjmsr-314	70	28	⌠t1	⌠t1	PROPN
bjmsr-314	70	29	⌠t2	⌠t2	NOUN
bjmsr-314	70	30	⌠t1	⌠t1	X
bjmsr-314	70	31	─	─	PROPN
bjmsr-314	70	32	─	─	PROPN
bjmsr-314	70	33	─	─	PROPN
bjmsr-314	71	1	=	=	PUNCT
bjmsr-314	72	1	⌡0	⌡0	CCONJ
bjmsr-314	72	2	dx	dx	PROPN
bjmsr-314	72	3	+	+	CCONJ
bjmsr-314	72	4	⌡t1	⌡t1	PROPN
bjmsr-314	72	5	dx	dx	PROPN
bjmsr-314	72	6	⌡t2	⌡t2	PROPN
bjmsr-314	72	7	dx	dx	PROPN
bjmsr-314	73	1	=	=	SYM
bjmsr-314	73	2	0	0	PROPN
bjmsr-314	73	3	(	(	PUNCT
bjmsr-314	73	4	18	18	NUM
bjmsr-314	73	5	)	)	PUNCT
bjmsr-314	73	6	δα	δα	AUX
bjmsr-314	73	7	δs	δs	ADV
bjmsr-314	73	8	⌠t1	⌠t1	PROPN
bjmsr-314	73	9	⌠t2	⌠t2	NOUN
bjmsr-314	73	10	⌠t1	⌠t1	X
bjmsr-314	73	11	─	─	PROPN
bjmsr-314	73	12	─	─	PROPN
bjmsr-314	73	13	─	─	PROPN
bjmsr-314	74	1	=	=	PUNCT
bjmsr-314	75	1	⌡0	⌡0	CCONJ
bjmsr-314	75	2	dx	dx	PROPN
bjmsr-314	75	3	+	+	CCONJ
bjmsr-314	75	4	⌡t1	⌡t1	PROPN
bjmsr-314	75	5	dx	dx	PROPN
bjmsr-314	75	6	⌡t2	⌡t2	PROPN
bjmsr-314	75	7	dx	dx	PROPN
bjmsr-314	76	1	=	=	SYM
bjmsr-314	76	2	0	0	PROPN
bjmsr-314	76	3	(	(	PUNCT
bjmsr-314	76	4	19	19	NUM
bjmsr-314	76	5	)	)	PUNCT
bjmsr-314	76	6	δβ	δβ	NOUN
bjmsr-314	76	7	δs	δs	NOUN
bjmsr-314	76	8	─	─	VERB
bjmsr-314	76	9	─	─	PROPN
bjmsr-314	76	10	─	─	PROPN
bjmsr-314	76	11	=	=	SYM
bjmsr-314	76	12	2[y(t1	2[y(t1	NUM
bjmsr-314	76	13	)	)	PUNCT
bjmsr-314	76	14	-α	-α	PROPN
bjmsr-314	76	15	-	-	PUNCT
bjmsr-314	76	16	βt1	βt1	NOUN
bjmsr-314	76	17	]	]	X
bjmsr-314	77	1	=	=	SYM
bjmsr-314	77	2	0	0	NUM
bjmsr-314	77	3	(	(	PUNCT
bjmsr-314	77	4	20	20	NUM
bjmsr-314	77	5	)	)	PUNCT
bjmsr-314	77	6	δt1	δt1	NOUN
bjmsr-314	77	7	δs	δs	NOUN
bjmsr-314	77	8	─	─	VERB
bjmsr-314	77	9	─	─	PROPN
bjmsr-314	77	10	─	─	PROPN
bjmsr-314	77	11	=	=	SYM
bjmsr-314	77	12	2[y(t2	2[y(t2	NUM
bjmsr-314	77	13	)	)	PUNCT
bjmsr-314	78	1	-α	-α	PUNCT
bjmsr-314	78	2	βt2	βt2	NOUN
bjmsr-314	78	3	]	]	X
bjmsr-314	78	4	=	=	SYM
bjmsr-314	78	5	0	0	NUM
bjmsr-314	78	6	(	(	PUNCT
bjmsr-314	78	7	21	21	NUM
bjmsr-314	78	8	)	)	PUNCT
bjmsr-314	78	9	δt2	δt2	VERB
bjmsr-314	78	10	equations	equation	NOUN
bjmsr-314	78	11	(	(	PUNCT
bjmsr-314	78	12	18	18	NUM
bjmsr-314	78	13	)	)	PUNCT
bjmsr-314	78	14	through	through	ADP
bjmsr-314	78	15	(	(	PUNCT
bjmsr-314	78	16	21	21	NUM
bjmsr-314	78	17	)	)	PUNCT
bjmsr-314	78	18	may	may	AUX
bjmsr-314	78	19	be	be	AUX
bjmsr-314	78	20	solved	solve	VERB
bjmsr-314	78	21	simultaneously	simultaneously	ADV
bjmsr-314	78	22	for	for	ADP
bjmsr-314	78	23	α	α	NOUN
bjmsr-314	78	24	,	,	PUNCT
bjmsr-314	78	25	β	β	PROPN
bjmsr-314	78	26	,	,	PUNCT
bjmsr-314	78	27	t1	t1	NOUN
bjmsr-314	78	28	and	and	CCONJ
bjmsr-314	78	29	t2	t2	NOUN
bjmsr-314	78	30	.	.	PUNCT
bjmsr-314	79	1	thus	thus	ADV
bjmsr-314	79	2	,	,	PUNCT
bjmsr-314	79	3	we	we	PRON
bjmsr-314	79	4	have	have	VERB
bjmsr-314	79	5	the	the	DET
bjmsr-314	79	6	following	follow	VERB
bjmsr-314	79	7	system	system	NOUN
bjmsr-314	79	8	of	of	ADP
bjmsr-314	79	9	equations	equation	NOUN
bjmsr-314	79	10	,	,	PUNCT
bjmsr-314	79	11	2t2	2t2	NUM
bjmsr-314	79	12	2t1	2t1	NUM
bjmsr-314	79	13	1	1	NUM
bjmsr-314	79	14	=	=	SYM
bjmsr-314	79	15	0	0	NUM
bjmsr-314	79	16	(	(	PUNCT
bjmsr-314	79	17	22	22	NUM
bjmsr-314	79	18	)	)	PUNCT
bjmsr-314	79	19	t2	t2	NOUN
bjmsr-314	79	20	2	2	NUM
bjmsr-314	79	21	t1	t1	NOUN
bjmsr-314	79	22	2	2	NUM
bjmsr-314	79	23	½	½	NOUN
bjmsr-314	79	24	=	=	SYM
bjmsr-314	79	25	0	0	NUM
bjmsr-314	80	1	(	(	PUNCT
bjmsr-314	80	2	23	23	NUM
bjmsr-314	80	3	)	)	PUNCT
bjmsr-314	80	4	y(t1	y(t1	NOUN
bjmsr-314	80	5	)	)	PUNCT
bjmsr-314	81	1	α	α	X
bjmsr-314	81	2	βt1	βt1	PUNCT
bjmsr-314	82	1	=	=	SYM
bjmsr-314	82	2	0	0	NUM
bjmsr-314	82	3	(	(	PUNCT
bjmsr-314	82	4	24	24	NUM
bjmsr-314	82	5	)	)	PUNCT
bjmsr-314	82	6	y(t2	y(t2	NOUN
bjmsr-314	82	7	)	)	PUNCT
bjmsr-314	82	8	α	α	NOUN
bjmsr-314	82	9	βt2	βt2	PUNCT
bjmsr-314	83	1	=	=	SYM
bjmsr-314	83	2	0	0	PUNCT
bjmsr-314	83	3	(	(	PUNCT
bjmsr-314	83	4	25	25	NUM
bjmsr-314	83	5	)	)	PUNCT
bjmsr-314	83	6	the	the	DET
bjmsr-314	83	7	solutions	solution	NOUN
bjmsr-314	83	8	are	be	AUX
bjmsr-314	83	9	,	,	PUNCT
bjmsr-314	83	10	t1=1/4	t1=1/4	X
bjmsr-314	83	11	(	(	PUNCT
bjmsr-314	83	12	26	26	NUM
bjmsr-314	83	13	)	)	PUNCT
bjmsr-314	83	14	t2=3/4	t2=3/4	NUM
bjmsr-314	83	15	(	(	PUNCT
bjmsr-314	83	16	27	27	NUM
bjmsr-314	83	17	)	)	PUNCT
bjmsr-314	83	18	α	α	NOUN
bjmsr-314	83	19	=	=	SYM
bjmsr-314	83	20	y(3/4)-(3/4)β	y(3/4)-(3/4)β	NOUN
bjmsr-314	83	21	=	=	PUNCT
bjmsr-314	83	22	y(1/4)-(1/4)β	y(1/4)-(1/4)β	NOUN
bjmsr-314	83	23	(	(	PUNCT
bjmsr-314	83	24	28	28	NUM
bjmsr-314	83	25	)	)	PUNCT
bjmsr-314	83	26	β	β	NOUN
bjmsr-314	83	27	=	=	PUNCT
bjmsr-314	83	28	2[y(3/4)-y(1/4	2[y(3/4)-y(1/4	NUM
bjmsr-314	83	29	)	)	PUNCT
bjmsr-314	83	30	]	]	PUNCT
bjmsr-314	84	1	(	(	PUNCT
bjmsr-314	84	2	29	29	NUM
bjmsr-314	84	3	)	)	PUNCT
bjmsr-314	84	4	this	this	DET
bjmsr-314	84	5	procedure	procedure	NOUN
bjmsr-314	84	6	,	,	PUNCT
bjmsr-314	84	7	similar	similar	ADJ
bjmsr-314	84	8	to	to	ADP
bjmsr-314	84	9	that	that	PRON
bjmsr-314	84	10	of	of	ADP
bjmsr-314	84	11	multiple	multiple	ADJ
bjmsr-314	84	12	regression	regression	NOUN
bjmsr-314	84	13	model	model	NOUN
bjmsr-314	84	14	for	for	ADP
bjmsr-314	84	15	discrete	discrete	ADJ
bjmsr-314	84	16	case	case	NOUN
bjmsr-314	84	17	may	may	AUX
bjmsr-314	84	18	be	be	AUX
bjmsr-314	84	19	expanded	expand	VERB
bjmsr-314	84	20	to	to	PART
bjmsr-314	84	21	include	include	VERB
bjmsr-314	84	22	"	"	PUNCT
bjmsr-314	84	23	m	m	NOUN
bjmsr-314	84	24	"	"	PUNCT
bjmsr-314	84	25	unknown	unknown	ADJ
bjmsr-314	84	26	parameters	parameter	NOUN
bjmsr-314	84	27	which	which	PRON
bjmsr-314	84	28	is	be	AUX
bjmsr-314	84	29	not	not	PART
bjmsr-314	84	30	discussed	discuss	VERB
bjmsr-314	84	31	here	here	ADV
bjmsr-314	84	32	.	.	PUNCT
bjmsr-314	85	1	some	some	DET
bjmsr-314	85	2	computational	computational	ADJ
bjmsr-314	85	3	methods	method	NOUN
bjmsr-314	85	4	for	for	ADP
bjmsr-314	85	5	solving	solve	VERB
bjmsr-314	85	6	the	the	DET
bjmsr-314	85	7	different	different	ADJ
bjmsr-314	85	8	cases	case	NOUN
bjmsr-314	85	9	of	of	ADP
bjmsr-314	85	10	m	m	PROPN
bjmsr-314	85	11	parameters	parameter	NOUN
bjmsr-314	85	12	model	model	NOUN
bjmsr-314	85	13	are	be	AUX
bjmsr-314	85	14	investigated	investigate	VERB
bjmsr-314	85	15	by	by	ADP
bjmsr-314	85	16	ptak	ptak	PROPN
bjmsr-314	85	17	(	(	PUNCT
bjmsr-314	85	18	1958	1958	NUM
bjmsr-314	85	19	)	)	PUNCT
bjmsr-314	85	20	,	,	PUNCT
bjmsr-314	85	21	rice	rice	NOUN
bjmsr-314	85	22	and	and	CCONJ
bjmsr-314	85	23	white	white	ADJ
bjmsr-314	85	24	(	(	PUNCT
bjmsr-314	85	25	1964	1964	NUM
bjmsr-314	85	26	)	)	PUNCT
bjmsr-314	85	27	,	,	PUNCT
bjmsr-314	85	28	rice	rice	NOUN
bjmsr-314	85	29	(	(	PUNCT
bjmsr-314	85	30	1964a	1964a	NOUN
bjmsr-314	85	31	,	,	PUNCT
bjmsr-314	85	32	b	b	NOUN
bjmsr-314	85	33	,	,	PUNCT
bjmsr-314	85	34	c,69,85	c,69,85	PROPN
bjmsr-314	85	35	)	)	PUNCT
bjmsr-314	85	36	,	,	PUNCT
bjmsr-314	85	37	usow	usow	NOUN
bjmsr-314	85	38	(	(	PUNCT
bjmsr-314	85	39	1967a	1967a	NUM
bjmsr-314	85	40	)	)	PUNCT
bjmsr-314	85	41	,	,	PUNCT
bjmsr-314	85	42	lazarski	lazarski	NOUN
bjmsr-314	85	43	(	(	PUNCT
bjmsr-314	85	44	1975a	1975a	NUM
bjmsr-314	85	45	,	,	PUNCT
bjmsr-314	85	46	b	b	NOUN
bjmsr-314	85	47	,	,	PUNCT
bjmsr-314	85	48	c,77	c,77	NOUN
bjmsr-314	85	49	)	)	PUNCT
bjmsr-314	85	50	(	(	PUNCT
bjmsr-314	85	51	see	see	VERB
bjmsr-314	85	52	also	also	ADV
bjmsr-314	85	53	,	,	PUNCT
bjmsr-314	85	54	hobby	hobby	NOUN
bjmsr-314	85	55	and	and	CCONJ
bjmsr-314	85	56	rice	rice	NOUN
bjmsr-314	85	57	(	(	PUNCT
bjmsr-314	85	58	1965	1965	NUM
bjmsr-314	85	59	)	)	PUNCT
bjmsr-314	85	60	,	,	PUNCT
bjmsr-314	85	61	kripke	kripke	NOUN
bjmsr-314	85	62	and	and	CCONJ
bjmsr-314	85	63	rivlin	rivlin	PROPN
bjmsr-314	85	64	(	(	PUNCT
bjmsr-314	85	65	1965	1965	NUM
bjmsr-314	85	66	)	)	PUNCT
bjmsr-314	85	67	,	,	PUNCT
bjmsr-314	85	68	watson	watson	NOUN
bjmsr-314	85	69	(	(	PUNCT
bjmsr-314	85	70	1981	1981	NUM
bjmsr-314	85	71	)	)	PUNCT
bjmsr-314	85	72	)	)	PUNCT
bjmsr-314	85	73	.	.	PUNCT
bjmsr-314	86	1	now	now	ADV
bjmsr-314	86	2	,	,	PUNCT
bjmsr-314	86	3	let	let	VERB
bjmsr-314	86	4	us	we	PRON
bjmsr-314	86	5	have	have	VERB
bjmsr-314	86	6	a	a	DET
bjmsr-314	86	7	look	look	NOUN
bjmsr-314	86	8	at	at	ADP
bjmsr-314	86	9	lorenz	lorenz	PROPN
bjmsr-314	86	10	curve	curve	NOUN
bjmsr-314	86	11	and	and	CCONJ
bjmsr-314	86	12	its	its	PRON
bjmsr-314	86	13	proposed	propose	VERB
bjmsr-314	86	14	functional	functional	ADJ
bjmsr-314	86	15	forms	form	NOUN
bjmsr-314	86	16	.	.	PUNCT
bjmsr-314	87	1	5	5	X
bjmsr-314	87	2	.	.	X
bjmsr-314	87	3	lorenz	lorenz	PROPN
bjmsr-314	87	4	curve	curve	VERB
bjmsr-314	87	5	the	the	DET
bjmsr-314	87	6	lorenz	lorenz	PROPN
bjmsr-314	87	7	curve	curve	NOUN
bjmsr-314	87	8	for	for	ADP
bjmsr-314	87	9	a	a	DET
bjmsr-314	87	10	random	random	ADJ
bjmsr-314	87	11	variable	variable	NOUN
bjmsr-314	87	12	with	with	ADP
bjmsr-314	87	13	probability	probability	NOUN
bjmsr-314	87	14	density	density	NOUN
bjmsr-314	87	15	function	function	NOUN
bjmsr-314	87	16	f(v	f(v	NOUN
bjmsr-314	87	17	)	)	PUNCT
bjmsr-314	87	18	may	may	AUX
bjmsr-314	87	19	be	be	AUX
bjmsr-314	87	20	defined	define	VERB
bjmsr-314	87	21	as	as	ADP
bjmsr-314	87	22	the	the	DET
bjmsr-314	87	23	ordered	ordered	ADJ
bjmsr-314	87	24	pair1	pair1	NOUN
bjmsr-314	87	25	,	,	PUNCT
bjmsr-314	87	26	e(v|v≤v	e(v|v≤v	NUM
bjmsr-314	87	27	)	)	PUNCT
bjmsr-314	87	28	(	(	PUNCT
bjmsr-314	87	29	p(v|v≤v	p(v|v≤v	NOUN
bjmsr-314	87	30	)	)	PUNCT
bjmsr-314	87	31	,	,	PUNCT
bjmsr-314	87	32	─	─	X
bjmsr-314	87	33	─	─	X
bjmsr-314	87	34	─	─	ADJ
bjmsr-314	87	35	─	─	ADJ
bjmsr-314	87	36	─	─	ADJ
bjmsr-314	87	37	─	─	PROPN
bjmsr-314	87	38	)	)	PUNCT
bjmsr-314	87	39	vεr	vεr	NOUN
bjmsr-314	87	40	(	(	PUNCT
bjmsr-314	87	41	30	30	NUM
bjmsr-314	87	42	)	)	PUNCT
bjmsr-314	87	43	e(v	e(v	NOUN
bjmsr-314	87	44	)	)	PUNCT
bjmsr-314	87	45	where	where	SCONJ
bjmsr-314	87	46	"	"	PUNCT
bjmsr-314	87	47	p	p	X
bjmsr-314	87	48	"	"	PUNCT
bjmsr-314	87	49	and	and	CCONJ
bjmsr-314	87	50	"	"	PUNCT
bjmsr-314	87	51	e	e	NOUN
bjmsr-314	87	52	"	"	PUNCT
bjmsr-314	87	53	stand	stand	VERB
bjmsr-314	87	54	for	for	ADP
bjmsr-314	87	55	probability	probability	NOUN
bjmsr-314	87	56	and	and	CCONJ
bjmsr-314	87	57	expected	expect	VERB
bjmsr-314	87	58	value	value	NOUN
bjmsr-314	87	59	operators	operator	NOUN
bjmsr-314	87	60	.	.	PUNCT
bjmsr-314	88	1	for	for	ADP
bjmsr-314	88	2	a	a	DET
bjmsr-314	88	3	continuous	continuous	ADJ
bjmsr-314	88	4	density	density	NOUN
bjmsr-314	88	5	function	function	NOUN
bjmsr-314	88	6	f(v	f(v	NOUN
bjmsr-314	88	7	)	)	PUNCT
bjmsr-314	88	8	,	,	PUNCT
bjmsr-314	88	9	(	(	PUNCT
bjmsr-314	88	10	30	30	NUM
bjmsr-314	88	11	)	)	PUNCT
bjmsr-314	88	12	can	can	AUX
bjmsr-314	88	13	be	be	AUX
bjmsr-314	88	14	written	write	VERB
bjmsr-314	88	15	as	as	ADP
bjmsr-314	88	16	,	,	PUNCT
bjmsr-314	88	17	⌠v	⌠v	ADJ
bjmsr-314	88	18	⌠v	⌠v	VERB
bjmsr-314	88	19	⌡-∞	⌡-∞	NOUN
bjmsr-314	88	20	wf(w)dw	wf(w)dw	NOUN
bjmsr-314	89	1	1	1	NUM
bjmsr-314	89	2	taguchi	taguchi	PROPN
bjmsr-314	89	3	(	(	PUNCT
bjmsr-314	89	4	1972a	1972a	NUM
bjmsr-314	89	5	,	,	PUNCT
bjmsr-314	89	6	b	b	NOUN
bjmsr-314	89	7	,	,	PUNCT
bjmsr-314	89	8	c,73,81,83,87,88	c,73,81,83,87,88	NOUN
bjmsr-314	89	9	)	)	PUNCT
bjmsr-314	89	10	multiplies	multiply	VERB
bjmsr-314	89	11	the	the	DET
bjmsr-314	89	12	second	second	ADJ
bjmsr-314	89	13	element	element	NOUN
bjmsr-314	89	14	of	of	ADP
bjmsr-314	89	15	(	(	PUNCT
bjmsr-314	89	16	30	30	NUM
bjmsr-314	89	17	)	)	PUNCT
bjmsr-314	89	18	by	by	ADP
bjmsr-314	89	19	p(v|v≤v	p(v|v≤v	NOUN
bjmsr-314	89	20	)	)	PUNCT
bjmsr-314	89	21	which	which	PRON
bjmsr-314	89	22	is	be	AUX
bjmsr-314	89	23	not	not	PART
bjmsr-314	89	24	correct	correct	ADJ
bjmsr-314	89	25	;	;	PUNCT
bjmsr-314	89	26	his	his	PRON
bjmsr-314	89	27	definition	definition	NOUN
bjmsr-314	89	28	of	of	ADP
bjmsr-314	89	29	(	(	PUNCT
bjmsr-314	89	30	31	31	NUM
bjmsr-314	89	31	)	)	PUNCT
bjmsr-314	89	32	is	be	AUX
bjmsr-314	89	33	equivalent	equivalent	ADJ
bjmsr-314	89	34	to	to	ADP
bjmsr-314	89	35	ours	ours	PRON
bjmsr-314	89	36	.	.	PUNCT
bjmsr-314	90	1	copyright	copyright	NOUN
bjmsr-314	90	2	©	©	PROPN
bjmsr-314	90	3	cc	cc	PROPN
bjmsr-314	90	4	-	-	PUNCT
bjmsr-314	90	5	by	by	ADP
bjmsr-314	90	6	-	-	PUNCT
bjmsr-314	90	7	nc	nc	PROPN
bjmsr-314	90	8	2019	2019	NUM
bjmsr-314	90	9	,	,	PUNCT
bjmsr-314	90	10	bjmsr	bjmsr	PROPN
bjmsr-314	90	11	www.cribfb.com/journal/index.php/bjmsr	www.cribfb.com/journal/index.php/bjmsr	X
bjmsr-314	90	12	bangladesh	bangladesh	PROPN
bjmsr-314	90	13	journal	journal	PROPN
bjmsr-314	90	14	of	of	ADP
bjmsr-314	90	15	multidisciplinary	multidisciplinary	ADJ
bjmsr-314	90	16	scientific	scientific	ADJ
bjmsr-314	90	17	research	research	NOUN
bjmsr-314	90	18	vol	vol	NOUN
bjmsr-314	90	19	.	.	PROPN
bjmsr-314	91	1	1	1	NUM
bjmsr-314	91	2	,	,	PUNCT
bjmsr-314	91	3	no	no	INTJ
bjmsr-314	91	4	.	.	NOUN
bjmsr-314	91	5	1	1	NUM
bjmsr-314	91	6	;	;	PUNCT
bjmsr-314	91	7	2019	2019	NUM
bjmsr-314	91	8	44	44	NUM
bjmsr-314	91	9	(	(	PUNCT
bjmsr-314	91	10	⌡-∞	⌡-∞	NOUN
bjmsr-314	91	11	f(w)dw	f(w)dw	PROPN
bjmsr-314	91	12	,	,	PUNCT
bjmsr-314	91	13	─	─	X
bjmsr-314	91	14	─	─	PROPN
bjmsr-314	91	15	─	─	ADJ
bjmsr-314	91	16	─	─	ADJ
bjmsr-314	91	17	─	─	ADJ
bjmsr-314	91	18	─	─	ADJ
bjmsr-314	91	19	─	─	ADJ
bjmsr-314	91	20	─	─	INTJ
bjmsr-314	91	21	)	)	PUNCT
bjmsr-314	91	22	≡	≡	PROPN
bjmsr-314	91	23	(	(	PUNCT
bjmsr-314	91	24	x(v),y(x(v	x(v),y(x(v	NUM
bjmsr-314	91	25	)	)	PUNCT
bjmsr-314	91	26	)	)	PUNCT
bjmsr-314	91	27	)	)	PUNCT
bjmsr-314	92	1	(	(	PUNCT
bjmsr-314	92	2	31	31	NUM
bjmsr-314	92	3	)	)	PUNCT
bjmsr-314	92	4	⌠+∞l	⌠+∞l	PROPN
bjmsr-314	92	5	⌡-∞wf(w)dw	⌡-∞wf(w)dw	NOUN
bjmsr-314	92	6	we	we	PRON
bjmsr-314	92	7	denote	denote	VERB
bjmsr-314	92	8	(	(	PUNCT
bjmsr-314	92	9	31	31	NUM
bjmsr-314	92	10	)	)	PUNCT
bjmsr-314	92	11	by	by	ADP
bjmsr-314	92	12	(	(	PUNCT
bjmsr-314	92	13	x(v),y(x(v	x(v),y(x(v	NUM
bjmsr-314	92	14	)	)	PUNCT
bjmsr-314	92	15	)	)	PUNCT
bjmsr-314	92	16	)	)	PUNCT
bjmsr-314	92	17	where	where	SCONJ
bjmsr-314	92	18	x(v	x(v	NOUN
bjmsr-314	92	19	)	)	PUNCT
bjmsr-314	92	20	and	and	CCONJ
bjmsr-314	92	21	y(x(v	y(x(v	NOUN
bjmsr-314	92	22	)	)	PUNCT
bjmsr-314	92	23	)	)	PUNCT
bjmsr-314	92	24	are	be	AUX
bjmsr-314	92	25	its	its	PRON
bjmsr-314	92	26	elements	element	NOUN
bjmsr-314	92	27	.	.	PUNCT
bjmsr-314	93	1	therefore	therefore	ADV
bjmsr-314	93	2	,	,	PUNCT
bjmsr-314	93	3	"	"	PUNCT
bjmsr-314	93	4	x	x	X
bjmsr-314	93	5	"	"	PUNCT
bjmsr-314	93	6	is	be	AUX
bjmsr-314	93	7	a	a	DET
bjmsr-314	93	8	function	function	NOUN
bjmsr-314	93	9	which	which	PRON
bjmsr-314	93	10	maps	map	VERB
bjmsr-314	93	11	"	"	PUNCT
bjmsr-314	93	12	v	v	NOUN
bjmsr-314	93	13	"	"	PUNCT
bjmsr-314	93	14	to	to	ADP
bjmsr-314	93	15	x(v	x(v	NUM
bjmsr-314	93	16	)	)	PUNCT
bjmsr-314	93	17	and	and	CCONJ
bjmsr-314	93	18	"	"	PUNCT
bjmsr-314	93	19	y	y	NOUN
bjmsr-314	93	20	"	"	PUNCT
bjmsr-314	93	21	is	be	AUX
bjmsr-314	93	22	a	a	DET
bjmsr-314	93	23	function	function	NOUN
bjmsr-314	93	24	which	which	PRON
bjmsr-314	93	25	maps	map	VERB
bjmsr-314	93	26	x(v	x(v	PROPN
bjmsr-314	93	27	)	)	PUNCT
bjmsr-314	93	28	to	to	ADP
bjmsr-314	93	29	y(x(v	y(x(v	NOUN
bjmsr-314	93	30	)	)	PUNCT
bjmsr-314	93	31	)	)	PUNCT
bjmsr-314	93	32	.	.	PUNCT
bjmsr-314	94	1	the	the	DET
bjmsr-314	94	2	function	function	NOUN
bjmsr-314	94	3	y(x(v	y(x(v	NOUN
bjmsr-314	94	4	)	)	PUNCT
bjmsr-314	94	5	)	)	PUNCT
bjmsr-314	94	6	is	be	AUX
bjmsr-314	94	7	simply	simply	ADV
bjmsr-314	94	8	the	the	DET
bjmsr-314	94	9	lorenz	lorenz	PROPN
bjmsr-314	94	10	curve	curve	PROPN
bjmsr-314	94	11	function	function	NOUN
bjmsr-314	94	12	.	.	PUNCT
bjmsr-314	95	1	in	in	ADP
bjmsr-314	95	2	recent	recent	ADJ
bjmsr-314	95	3	years	year	NOUN
bjmsr-314	95	4	some	some	DET
bjmsr-314	95	5	functional	functional	ADJ
bjmsr-314	95	6	forms	form	NOUN
bjmsr-314	95	7	for	for	ADP
bjmsr-314	95	8	the	the	DET
bjmsr-314	95	9	lorenz	lorenz	PROPN
bjmsr-314	95	10	curve	curve	NOUN
bjmsr-314	95	11	have	have	AUX
bjmsr-314	95	12	been	be	AUX
bjmsr-314	95	13	introduced	introduce	VERB
bjmsr-314	95	14	.	.	PUNCT
bjmsr-314	96	1	among	among	ADP
bjmsr-314	96	2	different	different	ADJ
bjmsr-314	96	3	proposed	propose	VERB
bjmsr-314	96	4	functions	function	NOUN
bjmsr-314	96	5	,	,	PUNCT
bjmsr-314	96	6	we	we	PRON
bjmsr-314	96	7	use	use	VERB
bjmsr-314	96	8	the	the	DET
bjmsr-314	96	9	forms	form	NOUN
bjmsr-314	96	10	of	of	ADP
bjmsr-314	96	11	gupta	gupta	PROPN
bjmsr-314	96	12	(	(	PUNCT
bjmsr-314	96	13	1984	1984	NUM
bjmsr-314	96	14	)	)	PUNCT
bjmsr-314	96	15	and	and	CCONJ
bjmsr-314	96	16	bidabad	bidabad	VERB
bjmsr-314	96	17	and	and	CCONJ
bjmsr-314	96	18	bidabad	bidabad	ADJ
bjmsr-314	96	19	(	(	PUNCT
bjmsr-314	96	20	1989,92	1989,92	NUM
bjmsr-314	96	21	)	)	PUNCT
bjmsr-314	96	22	which	which	PRON
bjmsr-314	96	23	benefits	benefit	VERB
bjmsr-314	96	24	from	from	ADP
bjmsr-314	96	25	certain	certain	ADJ
bjmsr-314	96	26	properties	property	NOUN
bjmsr-314	96	27	(	(	PUNCT
bjmsr-314	96	28	see	see	VERB
bjmsr-314	96	29	their	their	PRON
bjmsr-314	96	30	articles	article	NOUN
bjmsr-314	96	31	for	for	ADP
bjmsr-314	96	32	more	more	ADJ
bjmsr-314	96	33	explanations	explanation	NOUN
bjmsr-314	96	34	)	)	PUNCT
bjmsr-314	96	35	.	.	PUNCT
bjmsr-314	97	1	gupta	gupta	PROPN
bjmsr-314	97	2	(	(	PUNCT
bjmsr-314	97	3	1984	1984	NUM
bjmsr-314	97	4	)	)	PUNCT
bjmsr-314	97	5	proposed	propose	VERB
bjmsr-314	97	6	the	the	DET
bjmsr-314	97	7	functional	functional	ADJ
bjmsr-314	97	8	form	form	NOUN
bjmsr-314	97	9	,	,	PUNCT
bjmsr-314	97	10	y	y	PROPN
bjmsr-314	97	11	=	=	PROPN
bjmsr-314	97	12	xax-1	xax-1	PUNCT
bjmsr-314	97	13	a>1	a>1	ADJ
bjmsr-314	97	14	(	(	PUNCT
bjmsr-314	97	15	32	32	NUM
bjmsr-314	97	16	)	)	PUNCT
bjmsr-314	97	17	bidabad	bidabad	NOUN
bjmsr-314	97	18	and	and	CCONJ
bjmsr-314	97	19	bidabad	bidabad	ADJ
bjmsr-314	97	20	(	(	PUNCT
bjmsr-314	97	21	1989,92	1989,92	NUM
bjmsr-314	97	22	)	)	PUNCT
bjmsr-314	97	23	suggest	suggest	VERB
bjmsr-314	97	24	the	the	DET
bjmsr-314	97	25	following	follow	VERB
bjmsr-314	97	26	functional	functional	ADJ
bjmsr-314	97	27	form	form	NOUN
bjmsr-314	97	28	:	:	PUNCT
bjmsr-314	97	29	y	y	PROPN
bjmsr-314	97	30	=	=	PROPN
bjmsr-314	97	31	xbax-1	xbax-1	PROPN
bjmsr-314	97	32	b≥1	b≥1	NOUN
bjmsr-314	97	33	,	,	PUNCT
bjmsr-314	97	34	a≥1	a≥1	PROPN
bjmsr-314	97	35	(	(	PUNCT
bjmsr-314	97	36	33	33	NUM
bjmsr-314	97	37	)	)	PUNCT
bjmsr-314	97	38	to	to	PART
bjmsr-314	97	39	estimate	estimate	VERB
bjmsr-314	97	40	the	the	DET
bjmsr-314	97	41	above	above	ADJ
bjmsr-314	97	42	functions	function	NOUN
bjmsr-314	97	43	by	by	ADP
bjmsr-314	97	44	regular	regular	ADJ
bjmsr-314	97	45	estimating	estimating	NOUN
bjmsr-314	97	46	method	method	NOUN
bjmsr-314	97	47	,	,	PUNCT
bjmsr-314	97	48	we	we	PRON
bjmsr-314	97	49	should	should	AUX
bjmsr-314	97	50	gather	gather	VERB
bjmsr-314	97	51	discrete	discrete	ADJ
bjmsr-314	97	52	data	datum	NOUN
bjmsr-314	97	53	from	from	ADP
bjmsr-314	97	54	the	the	DET
bjmsr-314	97	55	statistical	statistical	ADJ
bjmsr-314	97	56	population	population	NOUN
bjmsr-314	97	57	,	,	PUNCT
bjmsr-314	97	58	and	and	CCONJ
bjmsr-314	97	59	manipulate	manipulate	VERB
bjmsr-314	97	60	them	they	PRON
bjmsr-314	97	61	to	to	PART
bjmsr-314	97	62	construct	construct	VERB
bjmsr-314	97	63	relevant	relevant	ADJ
bjmsr-314	97	64	x	x	NOUN
bjmsr-314	97	65	and	and	CCONJ
bjmsr-314	97	66	y	y	PROPN
bjmsr-314	97	67	vectors	vector	NOUN
bjmsr-314	97	68	to	to	PART
bjmsr-314	97	69	estimate	estimate	VERB
bjmsr-314	97	70	"	"	PUNCT
bjmsr-314	97	71	a	a	PRON
bjmsr-314	97	72	"	"	PUNCT
bjmsr-314	97	73	of	of	ADP
bjmsr-314	97	74	(	(	PUNCT
bjmsr-314	97	75	32	32	NUM
bjmsr-314	97	76	)	)	PUNCT
bjmsr-314	97	77	or	or	CCONJ
bjmsr-314	97	78	"	"	PUNCT
bjmsr-314	97	79	a	a	PRON
bjmsr-314	97	80	"	"	PUNCT
bjmsr-314	97	81	and	and	CCONJ
bjmsr-314	97	82	"	"	PUNCT
bjmsr-314	97	83	b	b	NOUN
bjmsr-314	97	84	"	"	PUNCT
bjmsr-314	97	85	of	of	ADP
bjmsr-314	97	86	(	(	PUNCT
bjmsr-314	97	87	33	33	NUM
bjmsr-314	97	88	)	)	PUNCT
bjmsr-314	97	89	.	.	PUNCT
bjmsr-314	98	1	if	if	SCONJ
bjmsr-314	98	2	the	the	DET
bjmsr-314	98	3	probability	probability	NOUN
bjmsr-314	98	4	distribution	distribution	NOUN
bjmsr-314	98	5	of	of	ADP
bjmsr-314	98	6	income	income	NOUN
bjmsr-314	98	7	is	be	AUX
bjmsr-314	98	8	known	know	VERB
bjmsr-314	98	9	,	,	PUNCT
bjmsr-314	98	10	instead	instead	ADV
bjmsr-314	98	11	of	of	ADP
bjmsr-314	98	12	gathering	gather	VERB
bjmsr-314	98	13	discrete	discrete	ADJ
bjmsr-314	98	14	observations	observation	NOUN
bjmsr-314	98	15	,	,	PUNCT
bjmsr-314	98	16	we	we	PRON
bjmsr-314	98	17	can	can	AUX
bjmsr-314	98	18	estimate	estimate	VERB
bjmsr-314	98	19	the	the	DET
bjmsr-314	98	20	lorenz	lorenz	PROPN
bjmsr-314	98	21	curve	curve	NOUN
bjmsr-314	98	22	by	by	ADP
bjmsr-314	98	23	using	use	VERB
bjmsr-314	98	24	the	the	DET
bjmsr-314	98	25	continuous	continuous	ADJ
bjmsr-314	98	26	l1	l1	PROPN
bjmsr-314	98	27	norm	norm	NOUN
bjmsr-314	98	28	smoothing	smooth	VERB
bjmsr-314	98	29	method	method	NOUN
bjmsr-314	98	30	for	for	ADP
bjmsr-314	98	31	continuous	continuous	ADJ
bjmsr-314	98	32	functions	function	NOUN
bjmsr-314	98	33	.	.	PUNCT
bjmsr-314	99	1	in	in	ADP
bjmsr-314	99	2	the	the	DET
bjmsr-314	99	3	following	following	ADJ
bjmsr-314	99	4	section	section	NOUN
bjmsr-314	99	5	,	,	PUNCT
bjmsr-314	99	6	we	we	PRON
bjmsr-314	99	7	proceed	proceed	VERB
bjmsr-314	99	8	to	to	PART
bjmsr-314	99	9	apply	apply	VERB
bjmsr-314	99	10	this	this	DET
bjmsr-314	99	11	method	method	NOUN
bjmsr-314	99	12	to	to	PART
bjmsr-314	99	13	estimate	estimate	VERB
bjmsr-314	99	14	the	the	DET
bjmsr-314	99	15	parameters	parameter	NOUN
bjmsr-314	99	16	"	"	PUNCT
bjmsr-314	99	17	a	a	PRON
bjmsr-314	99	18	"	"	PUNCT
bjmsr-314	99	19	of	of	ADP
bjmsr-314	99	20	(	(	PUNCT
bjmsr-314	99	21	32	32	NUM
bjmsr-314	99	22	)	)	PUNCT
bjmsr-314	99	23	and	and	CCONJ
bjmsr-314	99	24	"	"	PUNCT
bjmsr-314	99	25	a	a	PRON
bjmsr-314	99	26	"	"	PUNCT
bjmsr-314	99	27	and	and	CCONJ
bjmsr-314	99	28	"	"	PUNCT
bjmsr-314	99	29	b	b	NOUN
bjmsr-314	99	30	"	"	PUNCT
bjmsr-314	99	31	of	of	ADP
bjmsr-314	99	32	(	(	PUNCT
bjmsr-314	99	33	33	33	NUM
bjmsr-314	99	34	)	)	PUNCT
bjmsr-314	99	35	by	by	ADP
bjmsr-314	99	36	using	use	VERB
bjmsr-314	99	37	the	the	DET
bjmsr-314	99	38	information	information	NOUN
bjmsr-314	99	39	of	of	ADP
bjmsr-314	99	40	probability	probability	NOUN
bjmsr-314	99	41	density	density	NOUN
bjmsr-314	99	42	function	function	NOUN
bjmsr-314	99	43	of	of	ADP
bjmsr-314	99	44	income	income	NOUN
bjmsr-314	99	45	.	.	PUNCT
bjmsr-314	100	1	6	6	NUM
bjmsr-314	100	2	.	.	X
bjmsr-314	100	3	continuous	continuous	ADJ
bjmsr-314	100	4	l1	l1	PROPN
bjmsr-314	100	5	norm	norm	NOUN
bjmsr-314	100	6	smoothing	smoothing	NOUN
bjmsr-314	100	7	of	of	ADP
bjmsr-314	100	8	lorenz	lorenz	PROPN
bjmsr-314	100	9	curve	curve	VERB
bjmsr-314	100	10	to	to	PART
bjmsr-314	100	11	estimate	estimate	VERB
bjmsr-314	100	12	the	the	DET
bjmsr-314	100	13	lorenz	lorenz	PROPN
bjmsr-314	100	14	curve	curve	PROPN
bjmsr-314	100	15	parameters	parameter	NOUN
bjmsr-314	100	16	when	when	SCONJ
bjmsr-314	100	17	income	income	NOUN
bjmsr-314	100	18	probability	probability	NOUN
bjmsr-314	100	19	density	density	NOUN
bjmsr-314	100	20	function	function	NOUN
bjmsr-314	100	21	is	be	AUX
bjmsr-314	100	22	known	know	VERB
bjmsr-314	100	23	,	,	PUNCT
bjmsr-314	100	24	we	we	PRON
bjmsr-314	100	25	can	can	AUX
bjmsr-314	100	26	not	not	PART
bjmsr-314	100	27	always	always	ADV
bjmsr-314	100	28	take	take	VERB
bjmsr-314	100	29	straightforward	straightforward	ADJ
bjmsr-314	100	30	steps	step	NOUN
bjmsr-314	100	31	.	.	PUNCT
bjmsr-314	101	1	when	when	SCONJ
bjmsr-314	101	2	the	the	DET
bjmsr-314	101	3	probability	probability	NOUN
bjmsr-314	101	4	density	density	NOUN
bjmsr-314	101	5	function	function	NOUN
bjmsr-314	101	6	is	be	AUX
bjmsr-314	101	7	easily	easily	ADV
bjmsr-314	101	8	integrable	integrable	ADJ
bjmsr-314	101	9	,	,	PUNCT
bjmsr-314	101	10	there	there	PRON
bjmsr-314	101	11	is	be	VERB
bjmsr-314	101	12	no	no	DET
bjmsr-314	101	13	major	major	ADJ
bjmsr-314	101	14	problem	problem	NOUN
bjmsr-314	101	15	in	in	ADP
bjmsr-314	101	16	advance	advance	NOUN
bjmsr-314	101	17	.	.	PUNCT
bjmsr-314	102	1	we	we	PRON
bjmsr-314	102	2	can	can	AUX
bjmsr-314	102	3	find	find	VERB
bjmsr-314	102	4	the	the	DET
bjmsr-314	102	5	functional	functional	ADJ
bjmsr-314	102	6	relationship	relationship	NOUN
bjmsr-314	102	7	between	between	ADP
bjmsr-314	102	8	the	the	DET
bjmsr-314	102	9	two	two	NUM
bjmsr-314	102	10	elements	element	NOUN
bjmsr-314	102	11	of	of	ADP
bjmsr-314	102	12	(	(	PUNCT
bjmsr-314	102	13	31	31	NUM
bjmsr-314	102	14	)	)	PUNCT
bjmsr-314	102	15	by	by	ADP
bjmsr-314	102	16	simple	simple	ADJ
bjmsr-314	102	17	mathematical	mathematical	ADJ
bjmsr-314	102	18	derivation	derivation	NOUN
bjmsr-314	102	19	.	.	PUNCT
bjmsr-314	103	1	but	but	CCONJ
bjmsr-314	103	2	,	,	PUNCT
bjmsr-314	103	3	when	when	SCONJ
bjmsr-314	103	4	integrals	integral	NOUN
bjmsr-314	103	5	of	of	ADP
bjmsr-314	103	6	(	(	PUNCT
bjmsr-314	103	7	31	31	NUM
bjmsr-314	103	8	)	)	PUNCT
bjmsr-314	103	9	are	be	AUX
bjmsr-314	103	10	not	not	PART
bjmsr-314	103	11	obtainable	obtainable	ADJ
bjmsr-314	103	12	,	,	PUNCT
bjmsr-314	103	13	another	another	DET
bjmsr-314	103	14	procedure	procedure	NOUN
bjmsr-314	103	15	should	should	AUX
bjmsr-314	103	16	be	be	AUX
bjmsr-314	103	17	adopted	adopt	VERB
bjmsr-314	103	18	.	.	PUNCT
bjmsr-314	104	1	suppose	suppose	VERB
bjmsr-314	104	2	that	that	SCONJ
bjmsr-314	104	3	the	the	DET
bjmsr-314	104	4	income	income	NOUN
bjmsr-314	104	5	of	of	ADP
bjmsr-314	104	6	society	society	NOUN
bjmsr-314	104	7	is	be	AUX
bjmsr-314	104	8	distributed	distribute	VERB
bjmsr-314	104	9	with	with	ADP
bjmsr-314	104	10	probability	probability	NOUN
bjmsr-314	104	11	density	density	NOUN
bjmsr-314	104	12	function	function	NOUN
bjmsr-314	104	13	f(w	f(w	PROPN
bjmsr-314	104	14	)	)	PUNCT
bjmsr-314	104	15	.	.	PUNCT
bjmsr-314	105	1	this	this	DET
bjmsr-314	105	2	density	density	NOUN
bjmsr-314	105	3	function	function	NOUN
bjmsr-314	105	4	may	may	AUX
bjmsr-314	105	5	be	be	AUX
bjmsr-314	105	6	a	a	DET
bjmsr-314	105	7	skewed	skewed	ADJ
bjmsr-314	105	8	function	function	NOUN
bjmsr-314	105	9	such	such	ADJ
bjmsr-314	105	10	as	as	ADP
bjmsr-314	105	11	pareto	pareto	ADJ
bjmsr-314	105	12	or	or	CCONJ
bjmsr-314	105	13	log	log	NOUN
bjmsr-314	105	14	-	-	PUNCT
bjmsr-314	105	15	normal	normal	ADJ
bjmsr-314	105	16	,	,	PUNCT
bjmsr-314	105	17	as	as	SCONJ
bjmsr-314	105	18	follows	follow	VERB
bjmsr-314	105	19	f(w)=θkθw	f(w)=θkθw	PROPN
bjmsr-314	105	20	-	-	PUNCT
bjmsr-314	105	21	θ-1	θ-1	NOUN
bjmsr-314	105	22	,	,	PUNCT
bjmsr-314	105	23	wrk>0	wrk>0	PROPN
bjmsr-314	105	24	,	,	PUNCT
bjmsr-314	105	25	θ>0	θ>0	PROPN
bjmsr-314	105	26	(	(	PUNCT
bjmsr-314	105	27	34	34	NUM
bjmsr-314	105	28	)	)	PUNCT
bjmsr-314	105	29	f(w)=[1	f(w)=[1	NOUN
bjmsr-314	105	30	/	/	SYM
bjmsr-314	105	31	wσ√(2π)]exp{-[ln(w)-μ]2/2σ2	wσ√(2π)]exp{-[ln(w)-μ]2/2σ2	NOUN
bjmsr-314	105	32	}	}	PUNCT
bjmsr-314	105	33	,	,	PUNCT
bjmsr-314	105	34	wε(0,∞	wε(0,∞	NOUN
bjmsr-314	105	35	)	)	PUNCT
bjmsr-314	105	36	,	,	PUNCT
bjmsr-314	105	37	με(-∞,+∞	με(-∞,+∞	PROPN
bjmsr-314	105	38	)	)	PUNCT
bjmsr-314	105	39	,	,	PUNCT
bjmsr-314	105	40	σ>0	σ>0	NOUN
bjmsr-314	105	41	(	(	PUNCT
bjmsr-314	105	42	35	35	NUM
bjmsr-314	105	43	)	)	PUNCT
bjmsr-314	105	44	these	these	DET
bjmsr-314	105	45	two	two	NUM
bjmsr-314	105	46	distributions	distribution	NOUN
bjmsr-314	105	47	have	have	AUX
bjmsr-314	105	48	been	be	AUX
bjmsr-314	105	49	known	know	VERB
bjmsr-314	105	50	as	as	ADP
bjmsr-314	105	51	good	good	ADJ
bjmsr-314	105	52	candidates	candidate	NOUN
bjmsr-314	105	53	for	for	ADP
bjmsr-314	105	54	presenting	present	VERB
bjmsr-314	105	55	the	the	DET
bjmsr-314	105	56	distribution	distribution	NOUN
bjmsr-314	105	57	of	of	ADP
bjmsr-314	105	58	personal	personal	ADJ
bjmsr-314	105	59	income	income	NOUN
bjmsr-314	105	60	.	.	PUNCT
bjmsr-314	106	1	in	in	ADP
bjmsr-314	106	2	the	the	DET
bjmsr-314	106	3	case	case	NOUN
bjmsr-314	106	4	of	of	ADP
bjmsr-314	106	5	pareto	pareto	ADJ
bjmsr-314	106	6	density	density	NOUN
bjmsr-314	106	7	function	function	NOUN
bjmsr-314	106	8	of	of	ADP
bjmsr-314	106	9	(	(	PUNCT
bjmsr-314	106	10	34	34	NUM
bjmsr-314	106	11	)	)	PUNCT
bjmsr-314	106	12	,	,	PUNCT
bjmsr-314	106	13	we	we	PRON
bjmsr-314	106	14	can	can	AUX
bjmsr-314	106	15	simply	simply	ADV
bjmsr-314	106	16	derive	derive	VERB
bjmsr-314	106	17	the	the	DET
bjmsr-314	106	18	lorenz	lorenz	PROPN
bjmsr-314	106	19	curve	curve	NOUN
bjmsr-314	106	20	function	function	NOUN
bjmsr-314	106	21	as	as	SCONJ
bjmsr-314	106	22	follows	follow	VERB
bjmsr-314	106	23	.	.	PUNCT
bjmsr-314	107	1	let	let	AUX
bjmsr-314	107	2	f(w	f(w	NOUN
bjmsr-314	107	3	)	)	PUNCT
bjmsr-314	107	4	denote	denote	VERB
bjmsr-314	107	5	the	the	DET
bjmsr-314	107	6	pareto	pareto	ADJ
bjmsr-314	107	7	distribution	distribution	NOUN
bjmsr-314	107	8	function	function	NOUN
bjmsr-314	107	9	:	:	PUNCT
bjmsr-314	107	10	f(w)=1-(k	f(w)=1-(k	NUM
bjmsr-314	107	11	/	/	SYM
bjmsr-314	107	12	w)θ	w)θ	NOUN
bjmsr-314	107	13	(	(	PUNCT
bjmsr-314	107	14	36	36	NUM
bjmsr-314	107	15	)	)	PUNCT
bjmsr-314	107	16	with	with	ADP
bjmsr-314	107	17	mean	mean	PROPN
bjmsr-314	107	18	equal	equal	ADJ
bjmsr-314	107	19	to	to	ADP
bjmsr-314	107	20	,	,	PUNCT
bjmsr-314	107	21	e(w)=	e(w)=	PROPN
bjmsr-314	107	22	θk/(θ-1	θk/(θ-1	NOUN
bjmsr-314	107	23	)	)	PUNCT
bjmsr-314	107	24	,	,	PUNCT
bjmsr-314	107	25	θ>1	θ>1	INTJ
bjmsr-314	107	26	(	(	PUNCT
bjmsr-314	107	27	37	37	NUM
bjmsr-314	107	28	)	)	PUNCT
bjmsr-314	107	29	if	if	SCONJ
bjmsr-314	107	30	we	we	PRON
bjmsr-314	107	31	find	find	VERB
bjmsr-314	107	32	the	the	DET
bjmsr-314	107	33	function	function	NOUN
bjmsr-314	107	34	y	y	PROPN
bjmsr-314	107	35	as	as	SCONJ
bjmsr-314	107	36	stated	state	VERB
bjmsr-314	107	37	by	by	ADP
bjmsr-314	107	38	(	(	PUNCT
bjmsr-314	107	39	31	31	NUM
bjmsr-314	107	40	)	)	PUNCT
bjmsr-314	107	41	as	as	ADP
bjmsr-314	107	42	a	a	DET
bjmsr-314	107	43	function	function	NOUN
bjmsr-314	107	44	of	of	ADP
bjmsr-314	107	45	x	x	PRON
bjmsr-314	107	46	,	,	PUNCT
bjmsr-314	107	47	the	the	DET
bjmsr-314	107	48	lorenz	lorenz	PROPN
bjmsr-314	107	49	function	function	NOUN
bjmsr-314	107	50	will	will	AUX
bjmsr-314	107	51	be	be	AUX
bjmsr-314	107	52	derived	derive	VERB
bjmsr-314	107	53	.	.	PUNCT
bjmsr-314	108	1	now	now	ADV
bjmsr-314	108	2	,	,	PUNCT
bjmsr-314	108	3	proceed	proceed	VERB
bjmsr-314	108	4	as	as	SCONJ
bjmsr-314	108	5	follows	follow	VERB
bjmsr-314	108	6	.	.	PUNCT
bjmsr-314	109	1	rearrange	rearrange	VERB
bjmsr-314	109	2	the	the	DET
bjmsr-314	109	3	terms	term	NOUN
bjmsr-314	109	4	of	of	ADP
bjmsr-314	109	5	(	(	PUNCT
bjmsr-314	109	6	31	31	NUM
bjmsr-314	109	7	)	)	PUNCT
bjmsr-314	109	8	as	as	ADP
bjmsr-314	109	9	,	,	PUNCT
bjmsr-314	109	10	⌠v	⌠v	ADJ
bjmsr-314	109	11	x(v	x(v	PROPN
bjmsr-314	109	12	)	)	PUNCT
bjmsr-314	110	1	=	=	NOUN
bjmsr-314	110	2	⌡-∞	⌡-∞	NOUN
bjmsr-314	110	3	f(w)dw	f(w)dw	NOUN
bjmsr-314	110	4	(	(	PUNCT
bjmsr-314	110	5	38	38	NUM
bjmsr-314	110	6	)	)	PUNCT
bjmsr-314	110	7	⌠	⌠	NOUN
bjmsr-314	110	8	tv	tv	NOUN
bjmsr-314	110	9	y(x(v	y(x(v	NOUN
bjmsr-314	110	10	)	)	PUNCT
bjmsr-314	110	11	)	)	PUNCT
bjmsr-314	111	1	=	=	PUNCT
bjmsr-314	112	1	[	[	X
bjmsr-314	112	2	1	1	NUM
bjmsr-314	112	3	/	/	SYM
bjmsr-314	112	4	e(x)]⌡-∞	e(x)]⌡-∞	PROPN
bjmsr-314	112	5	wf(w)dw	wf(w)dw	PROPN
bjmsr-314	112	6	(	(	PUNCT
bjmsr-314	112	7	39	39	NUM
bjmsr-314	112	8	)	)	PUNCT
bjmsr-314	112	9	substitute	substitute	NOUN
bjmsr-314	112	10	pareto	pareto	ADJ
bjmsr-314	112	11	distribution	distribution	NOUN
bjmsr-314	112	12	function	function	NOUN
bjmsr-314	112	13	,	,	PUNCT
bjmsr-314	112	14	x(v	x(v	NUM
bjmsr-314	112	15	)	)	PUNCT
bjmsr-314	112	16	=	=	SYM
bjmsr-314	112	17	f(v	f(v	NOUN
bjmsr-314	112	18	)	)	PUNCT
bjmsr-314	112	19	=	=	SYM
bjmsr-314	112	20	1-(k	1-(k	NUM
bjmsr-314	112	21	/	/	SYM
bjmsr-314	112	22	v)θ	v)θ	NOUN
bjmsr-314	112	23	(	(	PUNCT
bjmsr-314	112	24	40	40	NUM
bjmsr-314	112	25	)	)	PUNCT
bjmsr-314	112	26	⌠v	⌠v	NOUN
bjmsr-314	112	27	y(x(v	y(x(v	NOUN
bjmsr-314	112	28	)	)	PUNCT
bjmsr-314	112	29	)	)	PUNCT
bjmsr-314	113	1	=	=	PUNCT
bjmsr-314	114	1	[	[	X
bjmsr-314	114	2	(	(	PUNCT
bjmsr-314	114	3	θ-1)/θk]⌡k	θ-1)/θk]⌡k	NUM
bjmsr-314	114	4	wθkθw	wθkθw	PROPN
bjmsr-314	114	5	-	-	PUNCT
bjmsr-314	114	6	θ-1dw	θ-1dw	NOUN
bjmsr-314	114	7	(	(	PUNCT
bjmsr-314	114	8	41	41	NUM
bjmsr-314	114	9	)	)	PUNCT
bjmsr-314	114	10	or	or	CCONJ
bjmsr-314	114	11	,	,	PUNCT
bjmsr-314	114	12	y(x(v	y(x(v	NOUN
bjmsr-314	114	13	)	)	PUNCT
bjmsr-314	114	14	)	)	PUNCT
bjmsr-314	115	1	=	=	SYM
bjmsr-314	115	2	1-(k	1-(k	NUM
bjmsr-314	115	3	/	/	SYM
bjmsr-314	115	4	v)θ-1	v)θ-1	NOUN
bjmsr-314	115	5	(	(	PUNCT
bjmsr-314	115	6	42	42	NUM
bjmsr-314	115	7	)	)	PUNCT
bjmsr-314	115	8	now	now	ADV
bjmsr-314	115	9	,	,	PUNCT
bjmsr-314	115	10	by	by	ADP
bjmsr-314	115	11	solving	solve	VERB
bjmsr-314	115	12	(	(	PUNCT
bjmsr-314	115	13	40	40	NUM
bjmsr-314	115	14	)	)	PUNCT
bjmsr-314	115	15	for	for	ADP
bjmsr-314	115	16	"	"	PUNCT
bjmsr-314	115	17	v	v	NOUN
bjmsr-314	115	18	"	"	PUNCT
bjmsr-314	115	19	and	and	CCONJ
bjmsr-314	115	20	substituting	substitute	VERB
bjmsr-314	115	21	in	in	ADP
bjmsr-314	115	22	(	(	PUNCT
bjmsr-314	115	23	42	42	NUM
bjmsr-314	115	24	)	)	PUNCT
bjmsr-314	115	25	,	,	PUNCT
bjmsr-314	115	26	the	the	DET
bjmsr-314	115	27	lorenz	lorenz	PROPN
bjmsr-314	115	28	curve	curve	NOUN
bjmsr-314	115	29	for	for	ADP
bjmsr-314	115	30	pareto	pareto	ADJ
bjmsr-314	115	31	distribution	distribution	NOUN
bjmsr-314	115	32	is	be	AUX
bjmsr-314	115	33	derived	derive	VERB
bjmsr-314	115	34	as	as	ADP
bjmsr-314	115	35	,	,	PUNCT
bjmsr-314	115	36	y	y	PROPN
bjmsr-314	115	37	=	=	SYM
bjmsr-314	115	38	1-(1	1-(1	PROPN
bjmsr-314	115	39	-	-	PUNCT
bjmsr-314	115	40	x)(θ-1)/θ	x)(θ-1)/θ	PROPN
bjmsr-314	115	41	(	(	PUNCT
bjmsr-314	115	42	43	43	NUM
bjmsr-314	115	43	)	)	PUNCT
bjmsr-314	115	44	as	as	SCONJ
bjmsr-314	115	45	it	it	PRON
bjmsr-314	115	46	was	be	AUX
bjmsr-314	115	47	shown	show	VERB
bjmsr-314	115	48	in	in	ADP
bjmsr-314	115	49	the	the	DET
bjmsr-314	115	50	case	case	NOUN
bjmsr-314	115	51	of	of	ADP
bjmsr-314	115	52	pareto	pareto	ADJ
bjmsr-314	115	53	distribution	distribution	NOUN
bjmsr-314	115	54	,	,	PUNCT
bjmsr-314	115	55	formula	formula	NOUN
bjmsr-314	115	56	of	of	ADP
bjmsr-314	115	57	lorenz	lorenz	PROPN
bjmsr-314	115	58	curve	curve	NOUN
bjmsr-314	115	59	is	be	AUX
bjmsr-314	115	60	easily	easily	ADV
bjmsr-314	115	61	obtained	obtain	VERB
bjmsr-314	115	62	.	.	PUNCT
bjmsr-314	116	1	but	but	CCONJ
bjmsr-314	116	2	,	,	PUNCT
bjmsr-314	116	3	if	if	SCONJ
bjmsr-314	116	4	we	we	PRON
bjmsr-314	116	5	select	select	VERB
bjmsr-314	116	6	the	the	DET
bjmsr-314	116	7	log	log	NOUN
bjmsr-314	116	8	-	-	PUNCT
bjmsr-314	116	9	normal	normal	ADJ
bjmsr-314	116	10	density	density	NOUN
bjmsr-314	116	11	function	function	NOUN
bjmsr-314	116	12	(	(	PUNCT
bjmsr-314	116	13	35	35	NUM
bjmsr-314	116	14	)	)	PUNCT
bjmsr-314	116	15	,	,	PUNCT
bjmsr-314	116	16	the	the	DET
bjmsr-314	116	17	procedure	procedure	NOUN
bjmsr-314	116	18	may	may	AUX
bjmsr-314	116	19	not	not	PART
bjmsr-314	116	20	be	be	AUX
bjmsr-314	116	21	the	the	DET
bjmsr-314	116	22	same	same	ADJ
bjmsr-314	116	23	.	.	PUNCT
bjmsr-314	117	1	because	because	SCONJ
bjmsr-314	117	2	the	the	DET
bjmsr-314	117	3	integral	integral	NOUN
bjmsr-314	117	4	of	of	ADP
bjmsr-314	117	5	log	log	NOUN
bjmsr-314	117	6	-	-	PUNCT
bjmsr-314	117	7	normal	normal	ADJ
bjmsr-314	117	8	function	function	NOUN
bjmsr-314	117	9	has	have	AUX
bjmsr-314	117	10	not	not	PART
bjmsr-314	117	11	been	be	AUX
bjmsr-314	117	12	derived	derive	VERB
bjmsr-314	117	13	yet	yet	ADV
bjmsr-314	117	14	.	.	PUNCT
bjmsr-314	118	1	in	in	ADP
bjmsr-314	118	2	the	the	DET
bjmsr-314	118	3	following	following	ADJ
bjmsr-314	118	4	pages	page	NOUN
bjmsr-314	118	5	,	,	PUNCT
bjmsr-314	118	6	the	the	DET
bjmsr-314	118	7	l1	l1	PROPN
bjmsr-314	118	8	norm	norm	NOUN
bjmsr-314	118	9	smoothing	smoothing	NOUN
bjmsr-314	118	10	technique	technique	NOUN
bjmsr-314	118	11	will	will	AUX
bjmsr-314	118	12	be	be	AUX
bjmsr-314	118	13	developed	develop	VERB
bjmsr-314	118	14	to	to	PART
bjmsr-314	118	15	estimate	estimate	VERB
bjmsr-314	118	16	the	the	DET
bjmsr-314	118	17	parameters	parameter	NOUN
bjmsr-314	118	18	of	of	ADP
bjmsr-314	118	19	given	give	VERB
bjmsr-314	118	20	functional	functional	ADJ
bjmsr-314	118	21	forms	form	NOUN
bjmsr-314	118	22	(	(	PUNCT
bjmsr-314	118	23	32	32	NUM
bjmsr-314	118	24	)	)	PUNCT
bjmsr-314	118	25	and	and	CCONJ
bjmsr-314	118	26	(	(	PUNCT
bjmsr-314	118	27	33	33	NUM
bjmsr-314	118	28	)	)	PUNCT
bjmsr-314	118	29	by	by	ADP
bjmsr-314	118	30	using	use	VERB
bjmsr-314	118	31	the	the	DET
bjmsr-314	118	32	continuous	continuous	ADJ
bjmsr-314	118	33	probability	probability	NOUN
bjmsr-314	118	34	density	density	NOUN
bjmsr-314	118	35	function	function	NOUN
bjmsr-314	118	36	.	.	PUNCT
bjmsr-314	119	1	according	accord	VERB
bjmsr-314	119	2	to	to	ADP
bjmsr-314	119	3	(	(	PUNCT
bjmsr-314	119	4	30	30	NUM
bjmsr-314	119	5	)	)	PUNCT
bjmsr-314	119	6	and	and	CCONJ
bjmsr-314	119	7	(	(	PUNCT
bjmsr-314	119	8	31	31	NUM
bjmsr-314	119	9	)	)	PUNCT
bjmsr-314	119	10	independent	independent	ADJ
bjmsr-314	119	11	and	and	CCONJ
bjmsr-314	119	12	dependent	dependent	ADJ
bjmsr-314	119	13	variables	variable	NOUN
bjmsr-314	119	14	of	of	ADP
bjmsr-314	119	15	(	(	PUNCT
bjmsr-314	119	16	32	32	NUM
bjmsr-314	119	17	)	)	PUNCT
bjmsr-314	119	18	and	and	CCONJ
bjmsr-314	119	19	(	(	PUNCT
bjmsr-314	119	20	33	33	NUM
bjmsr-314	119	21	)	)	PUNCT
bjmsr-314	119	22	may	may	AUX
bjmsr-314	119	23	be	be	AUX
bjmsr-314	119	24	written	write	VERB
bjmsr-314	119	25	as	as	ADP
bjmsr-314	119	26	,	,	PUNCT
bjmsr-314	119	27	⌠v	⌠v	ADJ
bjmsr-314	119	28	x(v	x(v	PROPN
bjmsr-314	119	29	)	)	PUNCT
bjmsr-314	120	1	=	=	PUNCT
bjmsr-314	121	1	⌡0	⌡0	DET
bjmsr-314	121	2	f(w)dw	f(w)dw	NUM
bjmsr-314	121	3	(	(	PUNCT
bjmsr-314	121	4	44	44	NUM
bjmsr-314	121	5	)	)	PUNCT
bjmsr-314	121	6	⌠v	⌠v	ADJ
bjmsr-314	121	7	copyright	copyright	NOUN
bjmsr-314	121	8	©	©	PROPN
bjmsr-314	121	9	cc	cc	PROPN
bjmsr-314	121	10	-	-	PUNCT
bjmsr-314	121	11	by	by	ADP
bjmsr-314	121	12	-	-	PUNCT
bjmsr-314	121	13	nc	nc	PROPN
bjmsr-314	121	14	2019	2019	NUM
bjmsr-314	121	15	,	,	PUNCT
bjmsr-314	121	16	bjmsr	bjmsr	PROPN
bjmsr-314	121	17	www.cribfb.com/journal/index.php/bjmsr	www.cribfb.com/journal/index.php/bjmsr	X
bjmsr-314	121	18	bangladesh	bangladesh	PROPN
bjmsr-314	121	19	journal	journal	PROPN
bjmsr-314	121	20	of	of	ADP
bjmsr-314	121	21	multidisciplinary	multidisciplinary	ADJ
bjmsr-314	121	22	scientific	scientific	ADJ
bjmsr-314	121	23	research	research	NOUN
bjmsr-314	121	24	vol	vol	NOUN
bjmsr-314	121	25	.	.	PROPN
bjmsr-314	121	26	1	1	NUM
bjmsr-314	121	27	,	,	PUNCT
bjmsr-314	121	28	no	no	INTJ
bjmsr-314	121	29	.	.	NOUN
bjmsr-314	121	30	1	1	NUM
bjmsr-314	121	31	;	;	PUNCT
bjmsr-314	121	32	2019	2019	NUM
bjmsr-314	121	33	45	45	NUM
bjmsr-314	121	34	y(x(v	y(x(v	NOUN
bjmsr-314	121	35	)	)	PUNCT
bjmsr-314	121	36	)	)	PUNCT
bjmsr-314	122	1	=	=	PUNCT
bjmsr-314	123	1	[	[	X
bjmsr-314	123	2	1	1	NUM
bjmsr-314	123	3	/	/	SYM
bjmsr-314	123	4	e(x	e(x	NUM
bjmsr-314	123	5	)	)	PUNCT
bjmsr-314	123	6	]	]	PUNCT
bjmsr-314	124	1	⌡0	⌡0	PRON
bjmsr-314	124	2	wf(w)dw	wf(w)dw	PROPN
bjmsr-314	124	3	(	(	PUNCT
bjmsr-314	124	4	45	45	NUM
bjmsr-314	124	5	)	)	PUNCT
bjmsr-314	124	6	substitute	substitute	NOUN
bjmsr-314	124	7	(	(	PUNCT
bjmsr-314	124	8	44	44	NUM
bjmsr-314	124	9	)	)	PUNCT
bjmsr-314	124	10	and	and	CCONJ
bjmsr-314	124	11	(	(	PUNCT
bjmsr-314	124	12	45	45	NUM
bjmsr-314	124	13	)	)	PUNCT
bjmsr-314	124	14	inside	inside	ADV
bjmsr-314	124	15	(	(	PUNCT
bjmsr-314	124	16	32	32	NUM
bjmsr-314	124	17	)	)	PUNCT
bjmsr-314	124	18	and	and	CCONJ
bjmsr-314	124	19	define	define	VERB
bjmsr-314	124	20	random	random	ADJ
bjmsr-314	124	21	error	error	NOUN
bjmsr-314	124	22	term	term	NOUN
bjmsr-314	124	23	u	u	NOUN
bjmsr-314	124	24	as	as	ADP
bjmsr-314	124	25	,	,	PUNCT
bjmsr-314	124	26	⌠v	⌠v	ADJ
bjmsr-314	124	27	⌠v	⌠v	ADJ
bjmsr-314	124	28	⌠v	⌠v	NOUN
bjmsr-314	125	1	⌡0	⌡0	X
bjmsr-314	125	2	f(w)dw-1	f(w)dw-1	PROPN
bjmsr-314	125	3	[	[	X
bjmsr-314	125	4	1	1	NUM
bjmsr-314	125	5	/	/	SYM
bjmsr-314	125	6	e(w)]⌡0	e(w)]⌡0	NOUN
bjmsr-314	125	7	wf(w)dw	wf(w)dw	NOUN
bjmsr-314	126	1	=	=	NOUN
bjmsr-314	126	2	⌡0	⌡0	PRON
bjmsr-314	126	3	f(w)dw.a	f(w)dw.a	ADJ
bjmsr-314	126	4	.	.	PUNCT
bjmsr-314	127	1	eu	eu	PROPN
bjmsr-314	127	2	(	(	PUNCT
bjmsr-314	127	3	46	46	NUM
bjmsr-314	127	4	)	)	PUNCT
bjmsr-314	127	5	or	or	CCONJ
bjmsr-314	127	6	briefly	briefly	ADV
bjmsr-314	127	7	,	,	PUNCT
bjmsr-314	127	8	y(x)=xax-1eu	y(x)=xax-1eu	INTJ
bjmsr-314	127	9	(	(	PUNCT
bjmsr-314	127	10	47	47	NUM
bjmsr-314	127	11	)	)	PUNCT
bjmsr-314	127	12	similarly	similarly	ADV
bjmsr-314	127	13	for	for	ADP
bjmsr-314	127	14	the	the	DET
bjmsr-314	127	15	model	model	NOUN
bjmsr-314	127	16	(	(	PUNCT
bjmsr-314	127	17	35	35	NUM
bjmsr-314	127	18	)	)	PUNCT
bjmsr-314	127	19	,	,	PUNCT
bjmsr-314	127	20	⌠v	⌠v	PROPN
bjmsr-314	127	21	⌠v	⌠v	PROPN
bjmsr-314	127	22	⌠v	⌠v	PROPN
bjmsr-314	127	23	b	b	NOUN
bjmsr-314	128	1	⌡0	⌡0	ADV
bjmsr-314	128	2	f(w)dw-1	f(w)dw-1	PROPN
bjmsr-314	128	3	[	[	PUNCT
bjmsr-314	128	4	1	1	NUM
bjmsr-314	128	5	/	/	SYM
bjmsr-314	128	6	e(w)]⌡0	e(w)]⌡0	NOUN
bjmsr-314	128	7	wf(w)dw={⌡0	wf(w)dw={⌡0	ADP
bjmsr-314	128	8	f(w)dw	f(w)dw	PROPN
bjmsr-314	128	9	}	}	PUNCT
bjmsr-314	128	10	.	.	PUNCT
bjmsr-314	129	1	a	a	PRON
bjmsr-314	129	2	.	.	PUNCT
bjmsr-314	130	1	eu	eu	PROPN
bjmsr-314	130	2	(	(	PUNCT
bjmsr-314	130	3	48	48	NUM
bjmsr-314	130	4	)	)	PUNCT
bjmsr-314	130	5	or	or	CCONJ
bjmsr-314	130	6	briefly	briefly	ADV
bjmsr-314	130	7	,	,	PUNCT
bjmsr-314	130	8	y(x)=xbax-1eu	y(x)=xbax-1eu	PROPN
bjmsr-314	130	9	(	(	PUNCT
bjmsr-314	130	10	49	49	NUM
bjmsr-314	130	11	)	)	PUNCT
bjmsr-314	130	12	taking	take	VERB
bjmsr-314	130	13	natural	natural	ADJ
bjmsr-314	130	14	logarithm	logarithm	NOUN
bjmsr-314	130	15	of	of	ADP
bjmsr-314	130	16	(	(	PUNCT
bjmsr-314	130	17	47	47	NUM
bjmsr-314	130	18	)	)	PUNCT
bjmsr-314	130	19	and	and	CCONJ
bjmsr-314	130	20	(	(	PUNCT
bjmsr-314	130	21	49	49	NUM
bjmsr-314	130	22	)	)	PUNCT
bjmsr-314	130	23	,	,	PUNCT
bjmsr-314	130	24	gives	give	VERB
bjmsr-314	130	25	,	,	PUNCT
bjmsr-314	130	26	ln	ln	ADJ
bjmsr-314	130	27	y(x)=ln	y(x)=ln	NOUN
bjmsr-314	130	28	x	x	PUNCT
bjmsr-314	131	1	+	+	PUNCT
bjmsr-314	131	2	(	(	PUNCT
bjmsr-314	131	3	x-1)ln	x-1)ln	NOUN
bjmsr-314	131	4	a	a	PRON
bjmsr-314	131	5	+	+	X
bjmsr-314	131	6	u	u	NOUN
bjmsr-314	131	7	(	(	PUNCT
bjmsr-314	131	8	50	50	NUM
bjmsr-314	131	9	)	)	PUNCT
bjmsr-314	131	10	ln	ln	ADJ
bjmsr-314	131	11	y(x)=b.ln	y(x)=b.ln	NOUN
bjmsr-314	131	12	x	x	PUNCT
bjmsr-314	132	1	+	+	PUNCT
bjmsr-314	132	2	(	(	PUNCT
bjmsr-314	132	3	x-1)ln	x-1)ln	NOUN
bjmsr-314	132	4	a	a	PRON
bjmsr-314	132	5	+	+	X
bjmsr-314	132	6	u	u	NOUN
bjmsr-314	132	7	(	(	PUNCT
bjmsr-314	132	8	51	51	NUM
bjmsr-314	132	9	)	)	PUNCT
bjmsr-314	132	10	with	with	ADP
bjmsr-314	132	11	respect	respect	NOUN
bjmsr-314	132	12	to	to	ADP
bjmsr-314	132	13	properties	property	NOUN
bjmsr-314	132	14	of	of	ADP
bjmsr-314	132	15	lorenz	lorenz	PROPN
bjmsr-314	132	16	curve	curve	NOUN
bjmsr-314	132	17	and	and	CCONJ
bjmsr-314	132	18	probability	probability	NOUN
bjmsr-314	132	19	density	density	NOUN
bjmsr-314	132	20	function	function	NOUN
bjmsr-314	132	21	of	of	ADP
bjmsr-314	132	22	f(w	f(w	PROPN
bjmsr-314	132	23	)	)	PUNCT
bjmsr-314	132	24	and	and	CCONJ
bjmsr-314	132	25	equations	equation	NOUN
bjmsr-314	132	26	(	(	PUNCT
bjmsr-314	132	27	46	46	NUM
bjmsr-314	132	28	)	)	PUNCT
bjmsr-314	132	29	to	to	ADP
bjmsr-314	132	30	(	(	PUNCT
bjmsr-314	132	31	49	49	NUM
bjmsr-314	132	32	)	)	PUNCT
bjmsr-314	132	33	,	,	PUNCT
bjmsr-314	132	34	it	it	PRON
bjmsr-314	132	35	is	be	AUX
bjmsr-314	132	36	obvious	obvious	ADJ
bjmsr-314	132	37	that	that	SCONJ
bjmsr-314	132	38	x	x	PUNCT
bjmsr-314	132	39	belongs	belong	VERB
bjmsr-314	132	40	to	to	ADP
bjmsr-314	132	41	the	the	DET
bjmsr-314	132	42	interval	interval	NOUN
bjmsr-314	132	43	[	[	X
bjmsr-314	132	44	0,1	0,1	NUM
bjmsr-314	132	45	]	]	PUNCT
bjmsr-314	132	46	.	.	PUNCT
bjmsr-314	133	1	thus	thus	ADV
bjmsr-314	133	2	the	the	DET
bjmsr-314	133	3	l1	l1	PROPN
bjmsr-314	133	4	norm	norm	VERB
bjmsr-314	133	5	objective	objective	ADJ
bjmsr-314	133	6	function	function	NOUN
bjmsr-314	133	7	for	for	ADP
bjmsr-314	133	8	minimizing	minimize	VERB
bjmsr-314	133	9	(	(	PUNCT
bjmsr-314	133	10	50	50	NUM
bjmsr-314	133	11	)	)	PUNCT
bjmsr-314	133	12	or	or	CCONJ
bjmsr-314	133	13	(	(	PUNCT
bjmsr-314	133	14	51	51	NUM
bjmsr-314	133	15	)	)	PUNCT
bjmsr-314	133	16	is	be	AUX
bjmsr-314	133	17	given	give	VERB
bjmsr-314	133	18	by	by	ADP
bjmsr-314	133	19	,	,	PUNCT
bjmsr-314	133	20	⌠1	⌠1	PROPN
bjmsr-314	133	21	min	min	PROPN
bjmsr-314	133	22	:	:	PUNCT
bjmsr-314	133	23	s	s	PART
bjmsr-314	133	24	=	=	SYM
bjmsr-314	133	25	⌡0	⌡0	NUM
bjmsr-314	133	26	|u|dx	|u|dx	PROPN
bjmsr-314	133	27	(	(	PUNCT
bjmsr-314	133	28	52	52	NUM
bjmsr-314	133	29	)	)	PUNCT
bjmsr-314	133	30	now	now	ADV
bjmsr-314	133	31	,	,	PUNCT
bjmsr-314	133	32	let	let	VERB
bjmsr-314	133	33	us	we	PRON
bjmsr-314	133	34	deal	deal	VERB
bjmsr-314	133	35	with	with	ADP
bjmsr-314	133	36	l1	l1	PROPN
bjmsr-314	133	37	norm	norm	NOUN
bjmsr-314	133	38	estimation	estimation	NOUN
bjmsr-314	133	39	of	of	ADP
bjmsr-314	133	40	"	"	PUNCT
bjmsr-314	133	41	a	a	PRON
bjmsr-314	133	42	"	"	PUNCT
bjmsr-314	133	43	of	of	ADP
bjmsr-314	133	44	lorenz	lorenz	PROPN
bjmsr-314	133	45	curve	curve	NOUN
bjmsr-314	133	46	functional	functional	ADJ
bjmsr-314	133	47	form	form	NOUN
bjmsr-314	133	48	(	(	PUNCT
bjmsr-314	133	49	32	32	NUM
bjmsr-314	133	50	)	)	PUNCT
bjmsr-314	133	51	(	(	PUNCT
bjmsr-314	133	52	redefined	redefine	VERB
bjmsr-314	133	53	by	by	ADP
bjmsr-314	133	54	(	(	PUNCT
bjmsr-314	133	55	50	50	NUM
bjmsr-314	133	56	)	)	PUNCT
bjmsr-314	133	57	)	)	PUNCT
bjmsr-314	133	58	.	.	PUNCT
bjmsr-314	134	1	the	the	DET
bjmsr-314	134	2	corresponding	correspond	VERB
bjmsr-314	134	3	l1	l1	PROPN
bjmsr-314	134	4	norm	norm	NOUN
bjmsr-314	134	5	objective	objective	ADJ
bjmsr-314	134	6	function	function	NOUN
bjmsr-314	134	7	will	will	AUX
bjmsr-314	134	8	be	be	AUX
bjmsr-314	134	9	,	,	PUNCT
bjmsr-314	134	10	⌠1	⌠1	PROPN
bjmsr-314	134	11	min	min	PROPN
bjmsr-314	134	12	:	:	PUNCT
bjmsr-314	134	13	s	s	PART
bjmsr-314	134	14	=	=	X
bjmsr-314	134	15	⌡0	⌡0	PRON
bjmsr-314	134	16	|ln	|ln	PUNCT
bjmsr-314	134	17	y(x	y(x	PROPN
bjmsr-314	134	18	)	)	PUNCT
bjmsr-314	134	19	ln	ln	NOUN
bjmsr-314	134	20	x	x	X
bjmsr-314	134	21	(	(	PUNCT
bjmsr-314	134	22	x-1	x-1	NOUN
bjmsr-314	134	23	)	)	PUNCT
bjmsr-314	134	24	ln	ln	ADJ
bjmsr-314	134	25	a|dx	a|dx	X
bjmsr-314	134	26	(	(	PUNCT
bjmsr-314	134	27	53	53	NUM
bjmsr-314	134	28	)	)	PUNCT
bjmsr-314	134	29	a	a	PRON
bjmsr-314	134	30	or	or	CCONJ
bjmsr-314	134	31	,	,	PUNCT
bjmsr-314	134	32	⌠1	⌠1	PROPN
bjmsr-314	134	33	min	min	PROPN
bjmsr-314	134	34	:	:	PUNCT
bjmsr-314	134	35	s	s	PART
bjmsr-314	134	36	=	=	SYM
bjmsr-314	134	37	⌡0	⌡0	PRON
bjmsr-314	134	38	|x-1||[ln	|x-1||[ln	PROPN
bjmsr-314	134	39	y(x)-ln	y(x)-ln	PROPN
bjmsr-314	134	40	x]/(x-1	x]/(x-1	PROPN
bjmsr-314	134	41	)	)	PUNCT
bjmsr-314	134	42	ln	ln	ADJ
bjmsr-314	134	43	a|dx	a|dx	X
bjmsr-314	134	44	(	(	PUNCT
bjmsr-314	134	45	54	54	NUM
bjmsr-314	134	46	)	)	PUNCT
bjmsr-314	134	47	a	a	PRON
bjmsr-314	134	48	by	by	ADP
bjmsr-314	134	49	a	a	DET
bjmsr-314	134	50	similar	similar	ADJ
bjmsr-314	134	51	technique	technique	NOUN
bjmsr-314	134	52	used	use	VERB
bjmsr-314	134	53	by	by	ADP
bjmsr-314	134	54	(	(	PUNCT
bjmsr-314	134	55	9	9	NUM
bjmsr-314	134	56	)	)	PUNCT
bjmsr-314	134	57	,	,	PUNCT
bjmsr-314	134	58	we	we	PRON
bjmsr-314	134	59	can	can	AUX
bjmsr-314	134	60	rewrite	rewrite	VERB
bjmsr-314	134	61	(	(	PUNCT
bjmsr-314	134	62	54	54	NUM
bjmsr-314	134	63	)	)	PUNCT
bjmsr-314	134	64	as	as	ADP
bjmsr-314	134	65	,	,	PUNCT
bjmsr-314	134	66	⌠t	⌠t	ADJ
bjmsr-314	134	67	⌠1	⌠1	PROPN
bjmsr-314	134	68	min	min	PROPN
bjmsr-314	134	69	:	:	PUNCT
bjmsr-314	134	70	s	s	PART
bjmsr-314	134	71	=	=	PUNCT
bjmsr-314	134	72	⌡0	⌡0	PRON
bjmsr-314	134	73	|x-1|{[ln	|x-1|{[ln	VERB
bjmsr-314	134	74	y(x)-ln	y(x)-ln	NOUN
bjmsr-314	134	75	x]/(x-1)-ln	x]/(x-1)-ln	PROPN
bjmsr-314	134	76	a}dx	a}dx	PROPN
bjmsr-314	134	77	⌡t	⌡t	ADJ
bjmsr-314	134	78	|x-1|{[ln	|x-1|{[ln	NUM
bjmsr-314	135	1	y(x)-ln	y(x)-ln	NOUN
bjmsr-314	135	2	x]/(x-1)-ln	x]/(x-1)-ln	PROPN
bjmsr-314	135	3	a}dx	a}dx	PROPN
bjmsr-314	135	4	(	(	PUNCT
bjmsr-314	135	5	55	55	NUM
bjmsr-314	135	6	)	)	PUNCT
bjmsr-314	135	7	a	a	DET
bjmsr-314	135	8	since	since	NOUN
bjmsr-314	135	9	,	,	PUNCT
bjmsr-314	135	10	0≤x≤1	0≤x≤1	NOUN
bjmsr-314	135	11	we	we	PRON
bjmsr-314	135	12	have	have	VERB
bjmsr-314	135	13	,	,	PUNCT
bjmsr-314	135	14	⌠t	⌠t	VERB
bjmsr-314	135	15	⌠1	⌠1	PROPN
bjmsr-314	135	16	min	min	PROPN
bjmsr-314	135	17	:	:	PUNCT
bjmsr-314	135	18	s	s	PART
bjmsr-314	135	19	=	=	X
bjmsr-314	136	1	⌡0	⌡0	PRON
bjmsr-314	136	2	[	[	X
bjmsr-314	136	3	ln	ln	ADJ
bjmsr-314	136	4	y(x	y(x	NOUN
bjmsr-314	136	5	)	)	PUNCT
bjmsr-314	136	6	ln	ln	NOUN
bjmsr-314	136	7	x	x	X
bjmsr-314	136	8	(	(	PUNCT
bjmsr-314	136	9	x-1	x-1	NOUN
bjmsr-314	136	10	)	)	PUNCT
bjmsr-314	136	11	ln	ln	PROPN
bjmsr-314	136	12	a]dx	a]dx	PROPN
bjmsr-314	137	1	+	+	X
bjmsr-314	137	2	⌡t	⌡t	ADJ
bjmsr-314	137	3	[	[	X
bjmsr-314	137	4	ln	ln	ADJ
bjmsr-314	137	5	y(x	y(x	NOUN
bjmsr-314	137	6	)	)	PUNCT
bjmsr-314	137	7	ln	ln	NOUN
bjmsr-314	137	8	x	x	X
bjmsr-314	137	9	(	(	PUNCT
bjmsr-314	137	10	x-1	x-1	NOUN
bjmsr-314	137	11	)	)	PUNCT
bjmsr-314	137	12	ln	ln	PROPN
bjmsr-314	137	13	a]dx	a]dx	PROPN
bjmsr-314	137	14	(	(	PUNCT
bjmsr-314	137	15	56	56	NUM
bjmsr-314	137	16	)	)	PUNCT
bjmsr-314	137	17	a	a	DET
bjmsr-314	137	18	differentiate	differentiate	NOUN
bjmsr-314	137	19	(	(	PUNCT
bjmsr-314	137	20	56	56	NUM
bjmsr-314	137	21	)	)	PUNCT
bjmsr-314	137	22	partially	partially	ADV
bjmsr-314	137	23	with	with	ADP
bjmsr-314	137	24	respect	respect	NOUN
bjmsr-314	137	25	to	to	ADP
bjmsr-314	137	26	"	"	PUNCT
bjmsr-314	137	27	t	t	PROPN
bjmsr-314	137	28	"	"	PUNCT
bjmsr-314	137	29	and	and	CCONJ
bjmsr-314	137	30	"	"	PUNCT
bjmsr-314	137	31	a	a	PRON
bjmsr-314	137	32	"	"	PUNCT
bjmsr-314	137	33	and	and	CCONJ
bjmsr-314	137	34	equate	equate	VERB
bjmsr-314	137	35	them	they	PRON
bjmsr-314	137	36	to	to	ADP
bjmsr-314	137	37	zero	zero	NUM
bjmsr-314	137	38	;	;	PUNCT
bjmsr-314	137	39	δs	δs	NOUN
bjmsr-314	137	40	⌠t	⌠t	VERB
bjmsr-314	137	41	⌠1	⌠1	PROPN
bjmsr-314	137	42	−−−−	−−−−	NOUN
bjmsr-314	137	43	=	=	PUNCT
bjmsr-314	138	1	+	+	CCONJ
bjmsr-314	138	2	⌡0	⌡0	PRON
bjmsr-314	139	1	[	[	X
bjmsr-314	139	2	(	(	PUNCT
bjmsr-314	139	3	x-1)/a]dx	x-1)/a]dx	ADV
bjmsr-314	139	4	⌡t	⌡t	NOUN
bjmsr-314	140	1	[	[	X
bjmsr-314	140	2	(	(	PUNCT
bjmsr-314	140	3	x-1)/a]dx	x-1)/a]dx	PROPN
bjmsr-314	140	4	=	=	SYM
bjmsr-314	140	5	0	0	NUM
bjmsr-314	140	6	(	(	PUNCT
bjmsr-314	140	7	57	57	NUM
bjmsr-314	140	8	)	)	PUNCT
bjmsr-314	140	9	δa	δa	NOUN
bjmsr-314	140	10	δs	δs	NOUN
bjmsr-314	140	11	−−−−	−−−−	NOUN
bjmsr-314	140	12	=	=	PUNCT
bjmsr-314	140	13	2[ln	2[ln	NUM
bjmsr-314	140	14	y(t	y(t	NOUN
bjmsr-314	140	15	)	)	PUNCT
bjmsr-314	140	16	ln	ln	PROPN
bjmsr-314	140	17	t	t	PROPN
bjmsr-314	140	18	(	(	PUNCT
bjmsr-314	140	19	t-1)ln	t-1)ln	X
bjmsr-314	140	20	a	a	X
bjmsr-314	140	21	]	]	X
bjmsr-314	140	22	=	=	SYM
bjmsr-314	140	23	0	0	NUM
bjmsr-314	140	24	(	(	PUNCT
bjmsr-314	140	25	58	58	NUM
bjmsr-314	140	26	)	)	PUNCT
bjmsr-314	140	27	δt	δt	NOUN
bjmsr-314	140	28	from	from	ADP
bjmsr-314	140	29	equation	equation	NOUN
bjmsr-314	140	30	(	(	PUNCT
bjmsr-314	140	31	57	57	NUM
bjmsr-314	140	32	)	)	PUNCT
bjmsr-314	140	33	,	,	PUNCT
bjmsr-314	140	34	we	we	PRON
bjmsr-314	140	35	have	have	VERB
bjmsr-314	140	36	,	,	PUNCT
bjmsr-314	140	37	t	t	PROPN
bjmsr-314	140	38	=	=	SYM
bjmsr-314	140	39	1±√2/2	1±√2/2	PROPN
bjmsr-314	140	40	(	(	PUNCT
bjmsr-314	140	41	59	59	NUM
bjmsr-314	140	42	)	)	PUNCT
bjmsr-314	140	43	since	since	SCONJ
bjmsr-314	140	44	"	"	PUNCT
bjmsr-314	140	45	t	t	PROPN
bjmsr-314	140	46	"	"	PUNCT
bjmsr-314	140	47	should	should	AUX
bjmsr-314	140	48	belong	belong	VERB
bjmsr-314	140	49	to	to	ADP
bjmsr-314	140	50	the	the	DET
bjmsr-314	140	51	interval	interval	NOUN
bjmsr-314	140	52	[	[	X
bjmsr-314	140	53	0,1	0,1	NUM
bjmsr-314	140	54	]	]	PUNCT
bjmsr-314	140	55	,	,	PUNCT
bjmsr-314	140	56	we	we	PRON
bjmsr-314	140	57	accept	accept	VERB
bjmsr-314	140	58	,	,	PUNCT
bjmsr-314	140	59	t	t	PROPN
bjmsr-314	140	60	=	=	SYM
bjmsr-314	140	61	1-√2/2	1-√2/2	PROPN
bjmsr-314	140	62	(	(	PUNCT
bjmsr-314	140	63	60	60	NUM
bjmsr-314	140	64	)	)	PUNCT
bjmsr-314	140	65	substitute	substitute	NOUN
bjmsr-314	140	66	(	(	PUNCT
bjmsr-314	140	67	60	60	NUM
bjmsr-314	140	68	)	)	PUNCT
bjmsr-314	140	69	in	in	ADP
bjmsr-314	140	70	(	(	PUNCT
bjmsr-314	140	71	58	58	NUM
bjmsr-314	140	72	)	)	PUNCT
bjmsr-314	140	73	,	,	PUNCT
bjmsr-314	140	74	and	and	CCONJ
bjmsr-314	140	75	solve	solve	VERB
bjmsr-314	140	76	for	for	ADP
bjmsr-314	140	77	"	"	PUNCT
bjmsr-314	140	78	a	a	PRON
bjmsr-314	140	79	"	"	PUNCT
bjmsr-314	140	80	,	,	PUNCT
bjmsr-314	140	81	gives	give	VERB
bjmsr-314	140	82	the	the	DET
bjmsr-314	140	83	l1	l1	PROPN
bjmsr-314	140	84	norm	norm	NOUN
bjmsr-314	140	85	estimation	estimation	NOUN
bjmsr-314	140	86	for	for	ADP
bjmsr-314	140	87	"	"	PUNCT
bjmsr-314	140	88	a	a	DET
bjmsr-314	140	89	"	"	PUNCT
bjmsr-314	140	90	equal	equal	ADJ
bjmsr-314	140	91	to	to	ADP
bjmsr-314	140	92	,	,	PUNCT
bjmsr-314	140	93	1-√2/2	1-√2/2	NUM
bjmsr-314	141	1	a	a	PRON
bjmsr-314	141	2	=	=	X
bjmsr-314	142	1	[	[	X
bjmsr-314	142	2	−−−−−−−−]√2	−−−−−−−−]√2	X
bjmsr-314	142	3	(	(	PUNCT
bjmsr-314	142	4	61	61	NUM
bjmsr-314	142	5	)	)	PUNCT
bjmsr-314	142	6	y(1-√2/2	y(1-√2/2	PROPN
bjmsr-314	142	7	)	)	PUNCT
bjmsr-314	142	8	copyright	copyright	NOUN
bjmsr-314	142	9	©	©	PROPN
bjmsr-314	142	10	cc	cc	PROPN
bjmsr-314	142	11	-	-	PUNCT
bjmsr-314	142	12	by	by	ADP
bjmsr-314	142	13	-	-	PUNCT
bjmsr-314	142	14	nc	nc	PROPN
bjmsr-314	142	15	2019	2019	NUM
bjmsr-314	142	16	,	,	PUNCT
bjmsr-314	142	17	bjmsr	bjmsr	PROPN
bjmsr-314	142	18	www.cribfb.com/journal/index.php/bjmsr	www.cribfb.com/journal/index.php/bjmsr	X
bjmsr-314	143	1	bangladesh	bangladesh	PROPN
bjmsr-314	143	2	journal	journal	PROPN
bjmsr-314	143	3	of	of	ADP
bjmsr-314	143	4	multidisciplinary	multidisciplinary	ADJ
bjmsr-314	143	5	scientific	scientific	ADJ
bjmsr-314	143	6	research	research	NOUN
bjmsr-314	143	7	vol	vol	NOUN
bjmsr-314	143	8	.	.	PROPN
bjmsr-314	143	9	1	1	NUM
bjmsr-314	143	10	,	,	PUNCT
bjmsr-314	143	11	no	no	INTJ
bjmsr-314	143	12	.	.	NOUN
bjmsr-314	143	13	1	1	NUM
bjmsr-314	143	14	;	;	PUNCT
bjmsr-314	143	15	2019	2019	NUM
bjmsr-314	143	16	46	46	NUM
bjmsr-314	143	17	now	now	ADV
bjmsr-314	143	18	,	,	PUNCT
bjmsr-314	143	19	let	let	VERB
bjmsr-314	143	20	us	we	PRON
bjmsr-314	143	21	apply	apply	VERB
bjmsr-314	143	22	this	this	DET
bjmsr-314	143	23	procedure	procedure	NOUN
bjmsr-314	143	24	to	to	ADP
bjmsr-314	143	25	another	another	DET
bjmsr-314	143	26	lorenz	lorenz	PROPN
bjmsr-314	143	27	curve	curve	NOUN
bjmsr-314	143	28	functional	functional	ADJ
bjmsr-314	143	29	form	form	NOUN
bjmsr-314	143	30	of	of	ADP
bjmsr-314	143	31	(	(	PUNCT
bjmsr-314	143	32	33	33	NUM
bjmsr-314	143	33	)	)	PUNCT
bjmsr-314	143	34	(	(	PUNCT
bjmsr-314	143	35	redefined	redefine	VERB
bjmsr-314	143	36	by	by	ADP
bjmsr-314	143	37	(	(	PUNCT
bjmsr-314	143	38	51	51	NUM
bjmsr-314	143	39	)	)	PUNCT
bjmsr-314	143	40	)	)	PUNCT
bjmsr-314	143	41	.	.	PUNCT
bjmsr-314	144	1	rewrite	rewrite	VERB
bjmsr-314	144	2	l1	l1	PROPN
bjmsr-314	144	3	norm	norm	PROPN
bjmsr-314	144	4	objective	objective	ADJ
bjmsr-314	144	5	function	function	NOUN
bjmsr-314	144	6	(	(	PUNCT
bjmsr-314	144	7	52	52	NUM
bjmsr-314	144	8	)	)	PUNCT
bjmsr-314	144	9	for	for	ADP
bjmsr-314	144	10	the	the	DET
bjmsr-314	144	11	model	model	NOUN
bjmsr-314	144	12	(	(	PUNCT
bjmsr-314	144	13	51	51	NUM
bjmsr-314	144	14	)	)	PUNCT
bjmsr-314	144	15	,	,	PUNCT
bjmsr-314	144	16	⌠1	⌠1	PROPN
bjmsr-314	144	17	min	min	PROPN
bjmsr-314	144	18	:	:	PUNCT
bjmsr-314	144	19	s	s	PART
bjmsr-314	145	1	=	=	X
bjmsr-314	145	2	⌡0	⌡0	PRON
bjmsr-314	145	3	|ln	|ln	PUNCT
bjmsr-314	145	4	y(x	y(x	PROPN
bjmsr-314	145	5	)	)	PUNCT
bjmsr-314	145	6	b	b	PROPN
bjmsr-314	145	7	ln	ln	NOUN
bjmsr-314	145	8	x	x	X
bjmsr-314	145	9	(	(	PUNCT
bjmsr-314	145	10	x-1	x-1	NOUN
bjmsr-314	145	11	)	)	PUNCT
bjmsr-314	145	12	ln	ln	ADJ
bjmsr-314	145	13	a|dx	a|dx	X
bjmsr-314	145	14	(	(	PUNCT
bjmsr-314	145	15	62	62	NUM
bjmsr-314	145	16	)	)	PUNCT
bjmsr-314	145	17	a	a	DET
bjmsr-314	145	18	,	,	PUNCT
bjmsr-314	145	19	b	b	NOUN
bjmsr-314	145	20	or	or	CCONJ
bjmsr-314	145	21	,	,	PUNCT
bjmsr-314	145	22	⌠1	⌠1	PROPN
bjmsr-314	145	23	min	min	PROPN
bjmsr-314	145	24	:	:	PUNCT
bjmsr-314	145	25	s=⌡0	s=⌡0	PROPN
bjmsr-314	145	26	|x-1||[lny(x)]/(x-1)-(lnx)/(x-1)-lna|dx	|x-1||[lny(x)]/(x-1)-(lnx)/(x-1)-lna|dx	PROPN
bjmsr-314	145	27	(	(	PUNCT
bjmsr-314	145	28	63	63	NUM
bjmsr-314	145	29	)	)	PUNCT
bjmsr-314	145	30	a	a	PRON
bjmsr-314	145	31	,	,	PUNCT
bjmsr-314	145	32	b	b	NOUN
bjmsr-314	145	33	the	the	DET
bjmsr-314	145	34	objective	objective	ADJ
bjmsr-314	145	35	function	function	NOUN
bjmsr-314	145	36	(	(	PUNCT
bjmsr-314	145	37	63	63	NUM
bjmsr-314	145	38	)	)	PUNCT
bjmsr-314	145	39	by	by	ADP
bjmsr-314	145	40	some	some	PRON
bjmsr-314	145	41	changing	change	VERB
bjmsr-314	145	42	on	on	ADP
bjmsr-314	145	43	variables	variable	NOUN
bjmsr-314	145	44	is	be	AUX
bjmsr-314	145	45	similar	similar	ADJ
bjmsr-314	145	46	to	to	ADP
bjmsr-314	145	47	(	(	PUNCT
bjmsr-314	145	48	16	16	NUM
bjmsr-314	145	49	)	)	PUNCT
bjmsr-314	145	50	.	.	PUNCT
bjmsr-314	146	1	thus	thus	ADV
bjmsr-314	146	2	,	,	PUNCT
bjmsr-314	146	3	by	by	ADP
bjmsr-314	146	4	a	a	DET
bjmsr-314	146	5	similar	similar	ADJ
bjmsr-314	146	6	procedure	procedure	NOUN
bjmsr-314	146	7	to	to	ADP
bjmsr-314	146	8	those	those	PRON
bjmsr-314	146	9	of	of	ADP
bjmsr-314	146	10	(	(	PUNCT
bjmsr-314	146	11	17	17	NUM
bjmsr-314	146	12	)	)	PUNCT
bjmsr-314	146	13	through	through	ADP
bjmsr-314	146	14	(	(	PUNCT
bjmsr-314	146	15	29	29	NUM
bjmsr-314	146	16	)	)	PUNCT
bjmsr-314	146	17	we	we	PRON
bjmsr-314	146	18	can	can	AUX
bjmsr-314	146	19	write	write	VERB
bjmsr-314	146	20	"	"	PUNCT
bjmsr-314	146	21	s	s	NOUN
bjmsr-314	146	22	"	"	PUNCT
bjmsr-314	146	23	as	as	ADP
bjmsr-314	146	24	,	,	PUNCT
bjmsr-314	146	25	⌠t1	⌠t1	NUM
bjmsr-314	146	26	min	min	NOUN
bjmsr-314	146	27	:	:	PUNCT
bjmsr-314	146	28	s	s	X
bjmsr-314	146	29	=	=	PUNCT
bjmsr-314	146	30	⌡0	⌡0	PRON
bjmsr-314	146	31	|x-1|{[lny(x)]/(x-1)-(lnx)/(x-1)-lna}dx	|x-1|{[lny(x)]/(x-1)-(lnx)/(x-1)-lna}dx	PROPN
bjmsr-314	147	1	a	a	X
bjmsr-314	147	2	,	,	PUNCT
bjmsr-314	147	3	b	b	PROPN
bjmsr-314	147	4	⌠t2	⌠t2	NOUN
bjmsr-314	147	5	⌡t1|x-1|{[lny(x)]/(x-1)-(lnx)/(x-1)-lna}dx	⌡t1|x-1|{[lny(x)]/(x-1)-(lnx)/(x-1)-lna}dx	PROPN
bjmsr-314	147	6	⌠1	⌠1	PROPN
bjmsr-314	147	7	+	+	PROPN
bjmsr-314	147	8	⌡t1|x-1|{[lny(x)]/(x-1)-(lnx)/(x-1)-lna}dx	⌡t1|x-1|{[lny(x)]/(x-1)-(lnx)/(x-1)-lna}dx	PROPN
bjmsr-314	147	9	(	(	PUNCT
bjmsr-314	147	10	64	64	NUM
bjmsr-314	147	11	)	)	PUNCT
bjmsr-314	147	12	since	since	SCONJ
bjmsr-314	147	13	0≤x≤1	0≤x≤1	NOUN
bjmsr-314	147	14	,	,	PUNCT
bjmsr-314	147	15	then	then	ADV
bjmsr-314	147	16	(	(	PUNCT
bjmsr-314	147	17	64	64	NUM
bjmsr-314	147	18	)	)	PUNCT
bjmsr-314	147	19	reduces	reduce	VERB
bjmsr-314	147	20	to	to	ADP
bjmsr-314	147	21	,	,	PUNCT
bjmsr-314	147	22	⌠t1	⌠t1	PROPN
bjmsr-314	147	23	⌠t2	⌠t2	X
bjmsr-314	147	24	min	min	NOUN
bjmsr-314	147	25	:	:	PUNCT
bjmsr-314	147	26	s	s	PART
bjmsr-314	147	27	=	=	SYM
bjmsr-314	148	1	⌡0	⌡0	PRON
bjmsr-314	148	2	[	[	X
bjmsr-314	148	3	ln	ln	ADJ
bjmsr-314	148	4	y(x	y(x	PROPN
bjmsr-314	148	5	)	)	PUNCT
bjmsr-314	148	6	b	b	PROPN
bjmsr-314	148	7	ln	ln	NOUN
bjmsr-314	148	8	x	x	X
bjmsr-314	148	9	(	(	PUNCT
bjmsr-314	148	10	x-1	x-1	NOUN
bjmsr-314	148	11	)	)	PUNCT
bjmsr-314	148	12	ln	ln	PROPN
bjmsr-314	148	13	a]dx	a]dx	PROPN
bjmsr-314	149	1	+	+	CCONJ
bjmsr-314	149	2	⌡t1	⌡t1	PROPN
bjmsr-314	150	1	[	[	X
bjmsr-314	150	2	ln	ln	PROPN
bjmsr-314	150	3	y(x	y(x	PROPN
bjmsr-314	150	4	)	)	PUNCT
bjmsr-314	150	5	b	b	PROPN
bjmsr-314	150	6	ln	ln	NOUN
bjmsr-314	150	7	x	x	X
bjmsr-314	150	8	(	(	PUNCT
bjmsr-314	150	9	x-1	x-1	NOUN
bjmsr-314	150	10	)	)	PUNCT
bjmsr-314	150	11	ln	ln	PROPN
bjmsr-314	150	12	a]dx	a]dx	PROPN
bjmsr-314	150	13	a	a	PRON
bjmsr-314	150	14	,	,	PUNCT
bjmsr-314	150	15	b	b	PROPN
bjmsr-314	150	16	⌠1	⌠1	PROPN
bjmsr-314	150	17	⌡t2	⌡t2	NOUN
bjmsr-314	151	1	[	[	X
bjmsr-314	151	2	ln	ln	PROPN
bjmsr-314	151	3	y(x	y(x	PROPN
bjmsr-314	151	4	)	)	PUNCT
bjmsr-314	151	5	b	b	PROPN
bjmsr-314	151	6	ln	ln	NOUN
bjmsr-314	151	7	x	x	X
bjmsr-314	151	8	(	(	PUNCT
bjmsr-314	151	9	x-1	x-1	NOUN
bjmsr-314	151	10	)	)	PUNCT
bjmsr-314	151	11	ln	ln	PROPN
bjmsr-314	151	12	a]dx	a]dx	PROPN
bjmsr-314	151	13	(	(	PUNCT
bjmsr-314	151	14	65	65	NUM
bjmsr-314	151	15	)	)	PUNCT
bjmsr-314	151	16	differentiate	differentiate	VERB
bjmsr-314	151	17	"	"	PUNCT
bjmsr-314	151	18	s	s	PART
bjmsr-314	151	19	"	"	PUNCT
bjmsr-314	151	20	partially	partially	ADV
bjmsr-314	151	21	with	with	ADP
bjmsr-314	151	22	respect	respect	NOUN
bjmsr-314	151	23	to	to	ADP
bjmsr-314	151	24	"	"	PUNCT
bjmsr-314	151	25	a	a	DET
bjmsr-314	151	26	"	"	PUNCT
bjmsr-314	151	27	,	,	PUNCT
bjmsr-314	151	28	"	"	PUNCT
bjmsr-314	151	29	b	b	X
bjmsr-314	151	30	"	"	PUNCT
bjmsr-314	151	31	,	,	PUNCT
bjmsr-314	151	32	t1	t1	NOUN
bjmsr-314	151	33	and	and	CCONJ
bjmsr-314	151	34	t2	t2	NOUN
bjmsr-314	151	35	and	and	CCONJ
bjmsr-314	151	36	equate	equate	VERB
bjmsr-314	151	37	them	they	PRON
bjmsr-314	151	38	to	to	ADP
bjmsr-314	151	39	zero	zero	NUM
bjmsr-314	151	40	,	,	PUNCT
bjmsr-314	151	41	δs	δs	VERB
bjmsr-314	151	42	1	1	NUM
bjmsr-314	151	43	⌠t1	⌠t1	NOUN
bjmsr-314	151	44	⌠t2	⌠t2	NOUN
bjmsr-314	151	45	⌠1	⌠1	PROPN
bjmsr-314	151	46	−−−	−−−	NOUN
bjmsr-314	152	1	=	=	PUNCT
bjmsr-314	153	1	−	−	PROPN
bjmsr-314	154	1	[	[	PUNCT
bjmsr-314	154	2	⌡0	⌡0	X
bjmsr-314	154	3	(	(	PUNCT
bjmsr-314	154	4	x-1)dx	x-1)dx	NOUN
bjmsr-314	154	5	-⌡t1	-⌡t1	PUNCT
bjmsr-314	154	6	(	(	PUNCT
bjmsr-314	154	7	x-1)dx	x-1)dx	NOUN
bjmsr-314	154	8	+	+	NUM
bjmsr-314	154	9	⌡t2	⌡t2	NOUN
bjmsr-314	154	10	(	(	PUNCT
bjmsr-314	154	11	x-1)dx	x-1)dx	NOUN
bjmsr-314	154	12	]	]	PUNCT
bjmsr-314	155	1	=	=	SYM
bjmsr-314	155	2	0	0	PUNCT
bjmsr-314	155	3	(	(	PUNCT
bjmsr-314	155	4	66	66	NUM
bjmsr-314	155	5	)	)	PUNCT
bjmsr-314	155	6	δa	δa	ADP
bjmsr-314	155	7	a	a	DET
bjmsr-314	155	8	δs	δs	NOUN
bjmsr-314	155	9	⌠t1	⌠t1	NOUN
bjmsr-314	155	10	⌠t2	⌠t2	NOUN
bjmsr-314	155	11	⌠1	⌠1	PROPN
bjmsr-314	155	12	−−−−	−−−−	NOUN
bjmsr-314	155	13	=	=	PUNCT
bjmsr-314	156	1	⌡0	⌡0	PRON
bjmsr-314	156	2	ln(x)dx	ln(x)dx	VERB
bjmsr-314	156	3	⌡t1	⌡t1	PROPN
bjmsr-314	156	4	ln(x)dx	ln(x)dx	VERB
bjmsr-314	156	5	+	+	CCONJ
bjmsr-314	156	6	⌡t2	⌡t2	NOUN
bjmsr-314	156	7	ln(x)dx	ln(x)dx	VERB
bjmsr-314	156	8	=	=	SYM
bjmsr-314	156	9	0	0	NUM
bjmsr-314	156	10	(	(	PUNCT
bjmsr-314	156	11	67	67	NUM
bjmsr-314	156	12	)	)	PUNCT
bjmsr-314	156	13	δb	δb	NOUN
bjmsr-314	156	14	δs	δs	VERB
bjmsr-314	156	15	−−−−	−−−−	NOUN
bjmsr-314	156	16	=	=	SYM
bjmsr-314	156	17	-2{ln[y(t1	-2{ln[y(t1	PROPN
bjmsr-314	156	18	)	)	PUNCT
bjmsr-314	156	19	]	]	PUNCT
bjmsr-314	157	1	bln(t1	bln(t1	NOUN
bjmsr-314	157	2	)	)	PUNCT
bjmsr-314	157	3	(	(	PUNCT
bjmsr-314	157	4	t1	t1	NOUN
bjmsr-314	157	5	-	-	PUNCT
bjmsr-314	157	6	1)ln(a	1)ln(a	NUM
bjmsr-314	157	7	)	)	PUNCT
bjmsr-314	157	8	}	}	PUNCT
bjmsr-314	157	9	=	=	SYM
bjmsr-314	157	10	0	0	PUNCT
bjmsr-314	157	11	(	(	PUNCT
bjmsr-314	157	12	68	68	NUM
bjmsr-314	157	13	)	)	PUNCT
bjmsr-314	157	14	δt1	δt1	NOUN
bjmsr-314	157	15	δs	δs	NOUN
bjmsr-314	157	16	−−−−	−−−−	NOUN
bjmsr-314	157	17	=	=	SYM
bjmsr-314	157	18	2{ln[y(t2	2{ln[y(t2	NUM
bjmsr-314	157	19	)	)	PUNCT
bjmsr-314	157	20	]	]	PUNCT
bjmsr-314	157	21	bln(t2	bln(t2	NOUN
bjmsr-314	157	22	)	)	PUNCT
bjmsr-314	157	23	(	(	PUNCT
bjmsr-314	157	24	t2	t2	NOUN
bjmsr-314	157	25	-	-	PUNCT
bjmsr-314	157	26	1)ln(a	1)ln(a	NUM
bjmsr-314	157	27	)	)	PUNCT
bjmsr-314	157	28	}	}	PUNCT
bjmsr-314	157	29	=	=	SYM
bjmsr-314	157	30	0	0	NUM
bjmsr-314	158	1	(	(	PUNCT
bjmsr-314	158	2	69	69	NUM
bjmsr-314	158	3	)	)	PUNCT
bjmsr-314	158	4	δt2	δt2	VERB
bjmsr-314	158	5	the	the	DET
bjmsr-314	158	6	above	above	ADJ
bjmsr-314	158	7	system	system	NOUN
bjmsr-314	158	8	of	of	ADP
bjmsr-314	158	9	simultaneous	simultaneous	ADJ
bjmsr-314	158	10	equations	equation	NOUN
bjmsr-314	158	11	can	can	AUX
bjmsr-314	158	12	be	be	AUX
bjmsr-314	158	13	solved	solve	VERB
bjmsr-314	158	14	for	for	ADP
bjmsr-314	158	15	the	the	DET
bjmsr-314	158	16	unknowns	unknown	NOUN
bjmsr-314	158	17	t1	t1	NOUN
bjmsr-314	158	18	,	,	PUNCT
bjmsr-314	158	19	t2	t2	NOUN
bjmsr-314	158	20	,	,	PUNCT
bjmsr-314	158	21	"	"	PUNCT
bjmsr-314	158	22	a	a	PRON
bjmsr-314	158	23	"	"	PUNCT
bjmsr-314	158	24	and	and	CCONJ
bjmsr-314	158	25	"	"	PUNCT
bjmsr-314	158	26	b	b	X
bjmsr-314	158	27	"	"	PUNCT
bjmsr-314	158	28	.	.	PUNCT
bjmsr-314	159	1	equation	equation	NOUN
bjmsr-314	159	2	(	(	PUNCT
bjmsr-314	159	3	66	66	NUM
bjmsr-314	159	4	)	)	PUNCT
bjmsr-314	159	5	is	be	AUX
bjmsr-314	159	6	reduced	reduce	VERB
bjmsr-314	159	7	to	to	ADP
bjmsr-314	159	8	,	,	PUNCT
bjmsr-314	159	9	t1	t1	PROPN
bjmsr-314	159	10	2	2	NUM
bjmsr-314	159	11	-	-	PUNCT
bjmsr-314	159	12	t2	t2	NOUN
bjmsr-314	159	13	2	2	NUM
bjmsr-314	159	14	-	-	SYM
bjmsr-314	159	15	2(t1	2(t1	NUM
bjmsr-314	159	16	-	-	PUNCT
bjmsr-314	159	17	t2)-1/2	t2)-1/2	NOUN
bjmsr-314	159	18	=	=	SYM
bjmsr-314	159	19	0	0	NUM
bjmsr-314	159	20	(	(	PUNCT
bjmsr-314	159	21	70	70	NUM
bjmsr-314	159	22	)	)	PUNCT
bjmsr-314	159	23	equation	equation	NOUN
bjmsr-314	159	24	(	(	PUNCT
bjmsr-314	159	25	67	67	NUM
bjmsr-314	159	26	)	)	PUNCT
bjmsr-314	159	27	can	can	AUX
bjmsr-314	159	28	be	be	AUX
bjmsr-314	159	29	written	write	VERB
bjmsr-314	159	30	as	as	ADP
bjmsr-314	159	31	,	,	PUNCT
bjmsr-314	159	32	t1(ln	t1(ln	PROPN
bjmsr-314	159	33	t1	t1	PROPN
bjmsr-314	159	34	-	-	PUNCT
bjmsr-314	159	35	1	1	NUM
bjmsr-314	159	36	)	)	PUNCT
bjmsr-314	159	37	t2(ln	t2(ln	PROPN
bjmsr-314	159	38	t2	t2	NOUN
bjmsr-314	159	39	-	-	PUNCT
bjmsr-314	159	40	1	1	NUM
bjmsr-314	159	41	)	)	PUNCT
bjmsr-314	159	42	–	–	PUNCT
bjmsr-314	159	43	1/2	1/2	NUM
bjmsr-314	159	44	=	=	SYM
bjmsr-314	159	45	0	0	NUM
bjmsr-314	159	46	(	(	PUNCT
bjmsr-314	159	47	71	71	NUM
bjmsr-314	159	48	)	)	PUNCT
bjmsr-314	159	49	calculate	calculate	NOUN
bjmsr-314	159	50	t1	t1	NOUN
bjmsr-314	159	51	from	from	ADP
bjmsr-314	159	52	(	(	PUNCT
bjmsr-314	159	53	70	70	NUM
bjmsr-314	159	54	)	)	PUNCT
bjmsr-314	159	55	as	as	ADP
bjmsr-314	159	56	,	,	PUNCT
bjmsr-314	159	57	t1	t1	NOUN
bjmsr-314	159	58	=	=	SYM
bjmsr-314	159	59	1	1	NUM
bjmsr-314	159	60	±√q	±√q	NOUN
bjmsr-314	159	61	(	(	PUNCT
bjmsr-314	159	62	t2	t2	NOUN
bjmsr-314	159	63	2	2	NUM
bjmsr-314	159	64	-	-	NUM
bjmsr-314	159	65	2t2	2t2	NUM
bjmsr-314	159	66	+	+	NOUN
bjmsr-314	159	67	3/2	3/2	NUM
bjmsr-314	159	68	)	)	PUNCT
bjmsr-314	159	69	(	(	PUNCT
bjmsr-314	159	70	72	72	NUM
bjmsr-314	159	71	)	)	PUNCT
bjmsr-314	159	72	since	since	SCONJ
bjmsr-314	159	73	0st1s1	0st1s1	NOUN
bjmsr-314	159	74	,	,	PUNCT
bjmsr-314	159	75	we	we	PRON
bjmsr-314	159	76	accept	accept	VERB
bjmsr-314	159	77	,	,	PUNCT
bjmsr-314	159	78	t1	t1	NOUN
bjmsr-314	159	79	=	=	SYM
bjmsr-314	159	80	1	1	NUM
bjmsr-314	159	81	√(t2	√(t2	PROPN
bjmsr-314	159	82	2	2	NUM
bjmsr-314	159	83	-	-	NUM
bjmsr-314	159	84	2t2	2t2	NUM
bjmsr-314	159	85	+	+	NOUN
bjmsr-314	159	86	3/2	3/2	NUM
bjmsr-314	159	87	)	)	PUNCT
bjmsr-314	159	88	(	(	PUNCT
bjmsr-314	159	89	73	73	NUM
bjmsr-314	159	90	)	)	PUNCT
bjmsr-314	159	91	substitute	substitute	NOUN
bjmsr-314	159	92	t1	t1	NOUN
bjmsr-314	159	93	from	from	ADP
bjmsr-314	159	94	(	(	PUNCT
bjmsr-314	159	95	73	73	NUM
bjmsr-314	159	96	)	)	PUNCT
bjmsr-314	159	97	into	into	ADP
bjmsr-314	159	98	(	(	PUNCT
bjmsr-314	159	99	71	71	NUM
bjmsr-314	159	100	)	)	PUNCT
bjmsr-314	159	101	,	,	PUNCT
bjmsr-314	159	102	and	and	CCONJ
bjmsr-314	159	103	rearrange	rearrange	VERB
bjmsr-314	159	104	the	the	DET
bjmsr-314	159	105	terms	term	NOUN
bjmsr-314	159	106	,	,	PUNCT
bjmsr-314	159	107	gives	give	VERB
bjmsr-314	159	108	;	;	PUNCT
bjmsr-314	159	109	[	[	X
bjmsr-314	159	110	1-√(t2	1-√(t2	NUM
bjmsr-314	159	111	2	2	NUM
bjmsr-314	159	112	-	-	NUM
bjmsr-314	159	113	2t2	2t2	NUM
bjmsr-314	159	114	+	+	NOUN
bjmsr-314	159	115	3/2	3/2	NUM
bjmsr-314	159	116	)	)	PUNCT
bjmsr-314	159	117	]	]	PUNCT
bjmsr-314	160	1	[	[	X
bjmsr-314	160	2	1-√(t2	1-√(t2	NUM
bjmsr-314	160	3	2	2	NUM
bjmsr-314	160	4	-	-	NUM
bjmsr-314	160	5	2t2	2t2	NUM
bjmsr-314	160	6	+	+	NOUN
bjmsr-314	160	7	3/2	3/2	NUM
bjmsr-314	160	8	)	)	PUNCT
bjmsr-314	160	9	]	]	PUNCT
bjmsr-314	160	10	ln	ln	ADJ
bjmsr-314	160	11	−−−−−−−−−−−−−−−−−−−−−	−−−−−−−−−−−−−−−−−−−−−	X
bjmsr-314	160	12	+	+	CCONJ
bjmsr-314	160	13	t2	t2	NOUN
bjmsr-314	160	14	-	-	PUNCT
bjmsr-314	160	15	3/2+√(t2	3/2+√(t2	NUM
bjmsr-314	160	16	2	2	NUM
bjmsr-314	160	17	-	-	SYM
bjmsr-314	160	18	2t2	2t2	NUM
bjmsr-314	160	19	+	+	NOUN
bjmsr-314	160	20	3/2	3/2	NUM
bjmsr-314	160	21	)	)	PUNCT
bjmsr-314	160	22	=	=	SYM
bjmsr-314	160	23	0	0	PUNCT
bjmsr-314	160	24	(	(	PUNCT
bjmsr-314	160	25	74	74	NUM
bjmsr-314	160	26	)	)	PUNCT
bjmsr-314	160	27	t2	t2	NOUN
bjmsr-314	160	28	t2	t2	VERB
bjmsr-314	160	29	the	the	DET
bjmsr-314	160	30	root	root	NOUN
bjmsr-314	160	31	of	of	ADP
bjmsr-314	160	32	equation	equation	NOUN
bjmsr-314	160	33	(	(	PUNCT
bjmsr-314	160	34	74	74	NUM
bjmsr-314	160	35	)	)	PUNCT
bjmsr-314	160	36	may	may	AUX
bjmsr-314	160	37	be	be	AUX
bjmsr-314	160	38	computed	compute	VERB
bjmsr-314	160	39	by	by	ADP
bjmsr-314	160	40	a	a	DET
bjmsr-314	160	41	suitable	suitable	ADJ
bjmsr-314	160	42	numerical	numerical	ADJ
bjmsr-314	160	43	algorithm	algorithm	NOUN
bjmsr-314	160	44	.	.	PUNCT
bjmsr-314	161	1	however	however	ADV
bjmsr-314	161	2	,	,	PUNCT
bjmsr-314	161	3	it	it	PRON
bjmsr-314	161	4	has	have	AUX
bjmsr-314	161	5	been	be	AUX
bjmsr-314	161	6	computed	compute	VERB
bjmsr-314	161	7	and	and	CCONJ
bjmsr-314	161	8	rounded	round	VERB
bjmsr-314	161	9	for	for	ADP
bjmsr-314	161	10	five	five	NUM
bjmsr-314	161	11	digits	digit	NOUN
bjmsr-314	161	12	decimal	decimal	ADJ
bjmsr-314	161	13	point	point	NOUN
bjmsr-314	161	14	as	as	ADP
bjmsr-314	161	15	,	,	PUNCT
bjmsr-314	161	16	t2	t2	NOUN
bjmsr-314	161	17	=	=	SYM
bjmsr-314	161	18	0.40442	0.40442	NUM
bjmsr-314	161	19	(	(	PUNCT
bjmsr-314	161	20	75	75	NUM
bjmsr-314	161	21	)	)	PUNCT
bjmsr-314	161	22	copyright	copyright	NOUN
bjmsr-314	162	1	©	©	PROPN
bjmsr-314	162	2	cc	cc	PROPN
bjmsr-314	162	3	-	-	PUNCT
bjmsr-314	162	4	by	by	ADP
bjmsr-314	162	5	-	-	PUNCT
bjmsr-314	162	6	nc	nc	PROPN
bjmsr-314	162	7	2019	2019	NUM
bjmsr-314	162	8	,	,	PUNCT
bjmsr-314	162	9	bjmsr	bjmsr	PROPN
bjmsr-314	162	10	www.cribfb.com/journal/index.php/bjmsr	www.cribfb.com/journal/index.php/bjmsr	X
bjmsr-314	163	1	bangladesh	bangladesh	PROPN
bjmsr-314	163	2	journal	journal	PROPN
bjmsr-314	163	3	of	of	ADP
bjmsr-314	163	4	multidisciplinary	multidisciplinary	ADJ
bjmsr-314	163	5	scientific	scientific	ADJ
bjmsr-314	163	6	research	research	NOUN
bjmsr-314	163	7	vol	vol	NOUN
bjmsr-314	163	8	.	.	PROPN
bjmsr-314	163	9	1	1	NUM
bjmsr-314	163	10	,	,	PUNCT
bjmsr-314	163	11	no	no	INTJ
bjmsr-314	163	12	.	.	NOUN
bjmsr-314	163	13	1	1	NUM
bjmsr-314	163	14	;	;	PUNCT
bjmsr-314	163	15	2019	2019	NUM
bjmsr-314	163	16	47	47	NUM
bjmsr-314	163	17	value	value	NOUN
bjmsr-314	163	18	of	of	ADP
bjmsr-314	163	19	t1	t1	PROPN
bjmsr-314	163	20	is	be	AUX
bjmsr-314	163	21	derived	derive	VERB
bjmsr-314	163	22	by	by	ADP
bjmsr-314	163	23	substituting	substitute	VERB
bjmsr-314	163	24	t2	t2	NOUN
bjmsr-314	163	25	into	into	ADP
bjmsr-314	163	26	(	(	PUNCT
bjmsr-314	163	27	73	73	NUM
bjmsr-314	163	28	)	)	PUNCT
bjmsr-314	163	29	;	;	PUNCT
bjmsr-314	163	30	t1	t1	NOUN
bjmsr-314	163	31	=	=	SYM
bjmsr-314	163	32	0.07549	0.07549	NUM
bjmsr-314	163	33	(	(	PUNCT
bjmsr-314	163	34	76	76	NUM
bjmsr-314	163	35	)	)	PUNCT
bjmsr-314	163	36	values	value	NOUN
bjmsr-314	163	37	of	of	ADP
bjmsr-314	163	38	"	"	PUNCT
bjmsr-314	163	39	b	b	NOUN
bjmsr-314	163	40	"	"	PUNCT
bjmsr-314	163	41	and	and	CCONJ
bjmsr-314	163	42	"	"	PUNCT
bjmsr-314	163	43	a	a	PRON
bjmsr-314	163	44	"	"	PUNCT
bjmsr-314	163	45	are	be	AUX
bjmsr-314	163	46	computed	compute	VERB
bjmsr-314	163	47	from	from	ADP
bjmsr-314	163	48	(	(	PUNCT
bjmsr-314	163	49	68	68	NUM
bjmsr-314	163	50	)	)	PUNCT
bjmsr-314	163	51	and	and	CCONJ
bjmsr-314	163	52	(	(	PUNCT
bjmsr-314	163	53	69	69	NUM
bjmsr-314	163	54	)	)	PUNCT
bjmsr-314	163	55	using	use	VERB
bjmsr-314	163	56	t2	t2	PROPN
bjmsr-314	163	57	and	and	CCONJ
bjmsr-314	163	58	t1	t1	NOUN
bjmsr-314	163	59	given	give	VERB
bjmsr-314	163	60	by	by	ADP
bjmsr-314	163	61	(	(	PUNCT
bjmsr-314	163	62	75	75	NUM
bjmsr-314	163	63	)	)	PUNCT
bjmsr-314	163	64	and	and	CCONJ
bjmsr-314	163	65	(	(	PUNCT
bjmsr-314	163	66	76	76	NUM
bjmsr-314	163	67	)	)	PUNCT
bjmsr-314	163	68	.	.	PUNCT
bjmsr-314	164	1	thus	thus	ADV
bjmsr-314	164	2	,	,	PUNCT
bjmsr-314	164	3	(	(	PUNCT
bjmsr-314	164	4	t2	t2	NOUN
bjmsr-314	164	5	-	-	PUNCT
bjmsr-314	164	6	1)lny(t1	1)lny(t1	NUM
bjmsr-314	164	7	)	)	PUNCT
bjmsr-314	164	8	(	(	PUNCT
bjmsr-314	164	9	t1	t1	NOUN
bjmsr-314	164	10	-	-	PUNCT
bjmsr-314	164	11	1)lny(t2	1)lny(t2	NUM
bjmsr-314	164	12	)	)	PUNCT
bjmsr-314	164	13	b	b	NOUN
bjmsr-314	164	14	=	=	PUNCT
bjmsr-314	164	15	−−−−−−−−−−−−−−−−−−	−−−−−−−−−−−−−−−−−−	X
bjmsr-314	164	16	(	(	PUNCT
bjmsr-314	164	17	77	77	NUM
bjmsr-314	164	18	)	)	PUNCT
bjmsr-314	164	19	(	(	PUNCT
bjmsr-314	164	20	t2	t2	NOUN
bjmsr-314	164	21	-	-	PUNCT
bjmsr-314	164	22	1)ln(t1	1)ln(t1	NUM
bjmsr-314	164	23	)	)	PUNCT
bjmsr-314	164	24	(	(	PUNCT
bjmsr-314	164	25	t1	t1	NOUN
bjmsr-314	164	26	-	-	PUNCT
bjmsr-314	164	27	1)ln(t2	1)ln(t2	NUM
bjmsr-314	164	28	)	)	PUNCT
bjmsr-314	164	29	or	or	CCONJ
bjmsr-314	164	30	,	,	PUNCT
bjmsr-314	164	31	b	b	X
bjmsr-314	164	32	=	=	SYM
bjmsr-314	164	33	-0.84857ln[y(0.07549	-0.84857ln[y(0.07549	PROPN
bjmsr-314	164	34	)	)	PUNCT
bjmsr-314	164	35	]	]	PUNCT
bjmsr-314	165	1	+	+	PUNCT
bjmsr-314	165	2	1.31722ln[y(0.40442	1.31722ln[y(0.40442	NUM
bjmsr-314	165	3	)	)	PUNCT
bjmsr-314	165	4	]	]	PUNCT
bjmsr-314	165	5	(	(	PUNCT
bjmsr-314	165	6	78	78	NUM
bjmsr-314	165	7	)	)	PUNCT
bjmsr-314	165	8	and	and	CCONJ
bjmsr-314	165	9	,	,	PUNCT
bjmsr-314	165	10	a	a	PRON
bjmsr-314	165	11	=	=	X
bjmsr-314	166	1	[	[	X
bjmsr-314	166	2	y(0.07549)]1.28986[y(0.40442)]-3.68126	y(0.07549)]1.28986[y(0.40442)]-3.68126	NOUN
bjmsr-314	166	3	(	(	PUNCT
bjmsr-314	166	4	79	79	NUM
bjmsr-314	166	5	)	)	PUNCT
bjmsr-314	166	6	now	now	ADV
bjmsr-314	166	7	,	,	PUNCT
bjmsr-314	166	8	let	let	VERB
bjmsr-314	166	9	us	we	PRON
bjmsr-314	166	10	describe	describe	VERB
bjmsr-314	166	11	how	how	SCONJ
bjmsr-314	166	12	equation	equation	NOUN
bjmsr-314	166	13	(	(	PUNCT
bjmsr-314	166	14	61	61	NUM
bjmsr-314	166	15	)	)	PUNCT
bjmsr-314	166	16	for	for	ADP
bjmsr-314	166	17	the	the	DET
bjmsr-314	166	18	model	model	NOUN
bjmsr-314	166	19	(	(	PUNCT
bjmsr-314	166	20	32	32	NUM
bjmsr-314	166	21	)	)	PUNCT
bjmsr-314	166	22	and	and	CCONJ
bjmsr-314	166	23	equations	equation	NOUN
bjmsr-314	166	24	(	(	PUNCT
bjmsr-314	166	25	78	78	NUM
bjmsr-314	166	26	)	)	PUNCT
bjmsr-314	166	27	and	and	CCONJ
bjmsr-314	166	28	(	(	PUNCT
bjmsr-314	166	29	79	79	NUM
bjmsr-314	166	30	)	)	PUNCT
bjmsr-314	166	31	for	for	ADP
bjmsr-314	166	32	the	the	DET
bjmsr-314	166	33	model	model	NOUN
bjmsr-314	166	34	(	(	PUNCT
bjmsr-314	166	35	33	33	NUM
bjmsr-314	166	36	)	)	PUNCT
bjmsr-314	166	37	can	can	AUX
bjmsr-314	166	38	be	be	AUX
bjmsr-314	166	39	used	use	VERB
bjmsr-314	166	40	to	to	PART
bjmsr-314	166	41	estimate	estimate	VERB
bjmsr-314	166	42	the	the	DET
bjmsr-314	166	43	parameters	parameter	NOUN
bjmsr-314	166	44	of	of	ADP
bjmsr-314	166	45	the	the	DET
bjmsr-314	166	46	lorenz	lorenz	PROPN
bjmsr-314	166	47	curve	curve	NOUN
bjmsr-314	166	48	when	when	SCONJ
bjmsr-314	166	49	the	the	DET
bjmsr-314	166	50	probability	probability	NOUN
bjmsr-314	166	51	distribution	distribution	NOUN
bjmsr-314	166	52	function	function	NOUN
bjmsr-314	166	53	is	be	AUX
bjmsr-314	166	54	known	know	VERB
bjmsr-314	166	55	.	.	PUNCT
bjmsr-314	167	1	in	in	ADP
bjmsr-314	167	2	the	the	DET
bjmsr-314	167	3	model	model	NOUN
bjmsr-314	167	4	(	(	PUNCT
bjmsr-314	167	5	32	32	NUM
bjmsr-314	167	6	)	)	PUNCT
bjmsr-314	167	7	we	we	PRON
bjmsr-314	167	8	should	should	AUX
bjmsr-314	167	9	solve	solve	VERB
bjmsr-314	167	10	(	(	PUNCT
bjmsr-314	167	11	44	44	NUM
bjmsr-314	167	12	)	)	PUNCT
bjmsr-314	167	13	for	for	ADP
bjmsr-314	167	14	x(v)=1-√2/2	x(v)=1-√2/2	PROPN
bjmsr-314	167	15	.	.	PUNCT
bjmsr-314	168	1	on	on	ADP
bjmsr-314	168	2	the	the	DET
bjmsr-314	168	3	other	other	ADJ
bjmsr-314	168	4	hand	hand	NOUN
bjmsr-314	168	5	,	,	PUNCT
bjmsr-314	168	6	we	we	PRON
bjmsr-314	168	7	should	should	AUX
bjmsr-314	168	8	find	find	VERB
bjmsr-314	168	9	value	value	NOUN
bjmsr-314	168	10	of	of	ADP
bjmsr-314	168	11	"	"	PUNCT
bjmsr-314	168	12	v	v	NOUN
bjmsr-314	168	13	"	"	PUNCT
bjmsr-314	168	14	such	such	ADJ
bjmsr-314	168	15	that	that	SCONJ
bjmsr-314	168	16	,	,	PUNCT
bjmsr-314	168	17	⌠v	⌠v	ADJ
bjmsr-314	168	18	x(v	x(v	PROPN
bjmsr-314	168	19	)	)	PUNCT
bjmsr-314	169	1	=	=	PUNCT
bjmsr-314	170	1	⌡0	⌡0	PRON
bjmsr-314	170	2	f(w)dw	f(w)dw	NUM
bjmsr-314	170	3	=	=	SYM
bjmsr-314	170	4	1-√2/2	1-√2/2	PROPN
bjmsr-314	170	5	(	(	PUNCT
bjmsr-314	170	6	80	80	NUM
bjmsr-314	170	7	)	)	PUNCT
bjmsr-314	170	8	by	by	ADP
bjmsr-314	170	9	substituting	substitute	VERB
bjmsr-314	170	10	this	this	DET
bjmsr-314	170	11	value	value	NOUN
bjmsr-314	170	12	of	of	ADP
bjmsr-314	170	13	"	"	PUNCT
bjmsr-314	170	14	v	v	NOUN
bjmsr-314	170	15	"	"	PUNCT
bjmsr-314	170	16	into	into	ADP
bjmsr-314	170	17	(	(	PUNCT
bjmsr-314	170	18	45	45	NUM
bjmsr-314	170	19	)	)	PUNCT
bjmsr-314	170	20	,	,	PUNCT
bjmsr-314	170	21	value	value	NOUN
bjmsr-314	170	22	of	of	ADP
bjmsr-314	170	23	y(1-√2/2	y(1-√2/2	PROPN
bjmsr-314	170	24	)	)	PUNCT
bjmsr-314	170	25	is	be	AUX
bjmsr-314	170	26	computed	compute	VERB
bjmsr-314	170	27	.	.	PUNCT
bjmsr-314	171	1	the	the	DET
bjmsr-314	171	2	value	value	NOUN
bjmsr-314	171	3	y(1-√2/2	y(1-√2/2	PROPN
bjmsr-314	171	4	)	)	PUNCT
bjmsr-314	171	5	is	be	AUX
bjmsr-314	171	6	used	use	VERB
bjmsr-314	171	7	to	to	PART
bjmsr-314	171	8	compute	compute	VERB
bjmsr-314	171	9	the	the	DET
bjmsr-314	171	10	parameter	parameter	NOUN
bjmsr-314	171	11	"	"	PUNCT
bjmsr-314	171	12	a	a	PRON
bjmsr-314	171	13	"	"	PUNCT
bjmsr-314	171	14	given	give	VERB
bjmsr-314	171	15	by	by	ADP
bjmsr-314	171	16	(	(	PUNCT
bjmsr-314	171	17	61	61	NUM
bjmsr-314	171	18	)	)	PUNCT
bjmsr-314	171	19	for	for	ADP
bjmsr-314	171	20	model	model	NOUN
bjmsr-314	171	21	(	(	PUNCT
bjmsr-314	171	22	32	32	NUM
bjmsr-314	171	23	)	)	PUNCT
bjmsr-314	171	24	.	.	PUNCT
bjmsr-314	172	1	the	the	DET
bjmsr-314	172	2	procedure	procedure	NOUN
bjmsr-314	172	3	for	for	ADP
bjmsr-314	172	4	the	the	DET
bjmsr-314	172	5	model	model	NOUN
bjmsr-314	172	6	(	(	PUNCT
bjmsr-314	172	7	33	33	NUM
bjmsr-314	172	8	)	)	PUNCT
bjmsr-314	172	9	is	be	AUX
bjmsr-314	172	10	also	also	ADV
bjmsr-314	172	11	similar	similar	ADJ
bjmsr-314	172	12	,	,	PUNCT
bjmsr-314	172	13	with	with	ADP
bjmsr-314	172	14	the	the	DET
bjmsr-314	172	15	difference	difference	NOUN
bjmsr-314	172	16	that	that	PRON
bjmsr-314	172	17	two	two	NUM
bjmsr-314	172	18	values	value	NOUN
bjmsr-314	172	19	of	of	ADP
bjmsr-314	172	20	"	"	PUNCT
bjmsr-314	172	21	v	v	NOUN
bjmsr-314	172	22	"	"	PUNCT
bjmsr-314	172	23	should	should	AUX
bjmsr-314	172	24	be	be	AUX
bjmsr-314	172	25	computed	compute	VERB
bjmsr-314	172	26	.	.	PUNCT
bjmsr-314	173	1	once	once	ADV
bjmsr-314	173	2	two	two	NUM
bjmsr-314	173	3	different	different	ADJ
bjmsr-314	173	4	values	value	NOUN
bjmsr-314	173	5	of	of	ADP
bjmsr-314	173	6	"	"	PUNCT
bjmsr-314	173	7	v	v	NOUN
bjmsr-314	173	8	"	"	PUNCT
bjmsr-314	173	9	are	be	AUX
bjmsr-314	173	10	computed	compute	VERB
bjmsr-314	173	11	as	as	ADP
bjmsr-314	173	12	follow	follow	NOUN
bjmsr-314	173	13	,	,	PUNCT
bjmsr-314	173	14	⌠v	⌠v	ADJ
bjmsr-314	173	15	x(v	x(v	PROPN
bjmsr-314	173	16	)	)	PUNCT
bjmsr-314	174	1	=	=	PUNCT
bjmsr-314	175	1	⌡0	⌡0	PRON
bjmsr-314	175	2	f(w)dw	f(w)dw	NUM
bjmsr-314	175	3	=	=	SYM
bjmsr-314	175	4	0.07549	0.07549	NUM
bjmsr-314	175	5	(	(	PUNCT
bjmsr-314	175	6	81	81	NUM
bjmsr-314	175	7	)	)	PUNCT
bjmsr-314	175	8	⌠v	⌠v	PROPN
bjmsr-314	175	9	x(v	x(v	PROPN
bjmsr-314	175	10	)	)	PUNCT
bjmsr-314	175	11	=	=	PUNCT
bjmsr-314	176	1	⌡0	⌡0	PRON
bjmsr-314	176	2	f(w)dw	f(w)dw	NUM
bjmsr-314	176	3	=	=	SYM
bjmsr-314	176	4	0.40442	0.40442	NUM
bjmsr-314	176	5	(	(	PUNCT
bjmsr-314	176	6	82	82	NUM
bjmsr-314	176	7	)	)	PUNCT
bjmsr-314	176	8	values	value	NOUN
bjmsr-314	176	9	of	of	ADP
bjmsr-314	176	10	"	"	PUNCT
bjmsr-314	176	11	v	v	NOUN
bjmsr-314	176	12	"	"	PUNCT
bjmsr-314	176	13	are	be	AUX
bjmsr-314	176	14	substituted	substitute	VERB
bjmsr-314	176	15	in	in	ADP
bjmsr-314	176	16	(	(	PUNCT
bjmsr-314	176	17	45	45	NUM
bjmsr-314	176	18	)	)	PUNCT
bjmsr-314	176	19	to	to	PART
bjmsr-314	176	20	find	find	VERB
bjmsr-314	176	21	y(0.07549	y(0.07549	NOUN
bjmsr-314	176	22	)	)	PUNCT
bjmsr-314	176	23	and	and	CCONJ
bjmsr-314	176	24	y(0.40442	y(0.40442	PROPN
bjmsr-314	176	25	)	)	PUNCT
bjmsr-314	176	26	.	.	PUNCT
bjmsr-314	177	1	these	these	DET
bjmsr-314	177	2	values	value	NOUN
bjmsr-314	177	3	of	of	ADP
bjmsr-314	177	4	"	"	PUNCT
bjmsr-314	177	5	y	y	NOUN
bjmsr-314	177	6	"	"	PUNCT
bjmsr-314	177	7	are	be	AUX
bjmsr-314	177	8	used	use	VERB
bjmsr-314	177	9	to	to	PART
bjmsr-314	177	10	compute	compute	VERB
bjmsr-314	177	11	the	the	DET
bjmsr-314	177	12	parameters	parameter	NOUN
bjmsr-314	177	13	of	of	ADP
bjmsr-314	177	14	the	the	DET
bjmsr-314	177	15	model	model	NOUN
bjmsr-314	177	16	(	(	PUNCT
bjmsr-314	177	17	33	33	NUM
bjmsr-314	177	18	)	)	PUNCT
bjmsr-314	177	19	by	by	ADP
bjmsr-314	177	20	substituting	substitute	VERB
bjmsr-314	177	21	them	they	PRON
bjmsr-314	177	22	into	into	ADP
bjmsr-314	177	23	(	(	PUNCT
bjmsr-314	177	24	78	78	NUM
bjmsr-314	177	25	)	)	PUNCT
bjmsr-314	177	26	and	and	CCONJ
bjmsr-314	177	27	(	(	PUNCT
bjmsr-314	177	28	79	79	NUM
bjmsr-314	177	29	)	)	PUNCT
bjmsr-314	177	30	.	.	PUNCT
bjmsr-314	178	1	the	the	DET
bjmsr-314	178	2	only	only	ADJ
bjmsr-314	178	3	problem	problem	NOUN
bjmsr-314	178	4	remains	remain	VERB
bjmsr-314	178	5	is	be	AUX
bjmsr-314	178	6	computation	computation	NOUN
bjmsr-314	178	7	of	of	ADP
bjmsr-314	178	8	related	related	ADJ
bjmsr-314	178	9	definite	definite	ADJ
bjmsr-314	178	10	integrals	integral	NOUN
bjmsr-314	178	11	of	of	ADP
bjmsr-314	178	12	x(v	x(v	NOUN
bjmsr-314	178	13	)	)	PUNCT
bjmsr-314	178	14	defined	define	VERB
bjmsr-314	178	15	by	by	ADP
bjmsr-314	178	16	(	(	PUNCT
bjmsr-314	178	17	80	80	NUM
bjmsr-314	178	18	)	)	PUNCT
bjmsr-314	178	19	,	,	PUNCT
bjmsr-314	178	20	(	(	PUNCT
bjmsr-314	178	21	81	81	NUM
bjmsr-314	178	22	)	)	PUNCT
bjmsr-314	178	23	and	and	CCONJ
bjmsr-314	178	24	(	(	PUNCT
bjmsr-314	178	25	82	82	NUM
bjmsr-314	178	26	)	)	PUNCT
bjmsr-314	178	27	which	which	PRON
bjmsr-314	178	28	can	can	AUX
bjmsr-314	178	29	be	be	AUX
bjmsr-314	178	30	done	do	VERB
bjmsr-314	178	31	by	by	ADP
bjmsr-314	178	32	appropriate	appropriate	ADJ
bjmsr-314	178	33	numerical	numerical	ADJ
bjmsr-314	178	34	methods	method	NOUN
bjmsr-314	178	35	such	such	ADJ
bjmsr-314	178	36	as	as	ADP
bjmsr-314	178	37	the	the	DET
bjmsr-314	178	38	enclosed	enclose	VERB
bjmsr-314	178	39	sample	sample	NOUN
bjmsr-314	178	40	computer	computer	NOUN
bjmsr-314	178	41	program	program	NOUN
bjmsr-314	178	42	coded	code	VERB
bjmsr-314	178	43	for	for	ADP
bjmsr-314	178	44	mathcad	mathcad	PROPN
bjmsr-314	178	45	11	11	NUM
bjmsr-314	178	46	for	for	ADP
bjmsr-314	178	47	a	a	DET
bjmsr-314	178	48	complete	complete	ADJ
bjmsr-314	178	49	example	example	NOUN
bjmsr-314	178	50	.	.	PUNCT
bjmsr-314	179	1	references	reference	NOUN
bjmsr-314	179	2	bijan	bijan	PROPN
bjmsr-314	179	3	bidabad	bidabad	NOUN
bjmsr-314	179	4	(	(	PUNCT
bjmsr-314	179	5	1987a	1987a	NUM
bjmsr-314	179	6	)	)	PUNCT
bjmsr-314	179	7	least	least	ADJ
bjmsr-314	179	8	absolute	absolute	ADJ
bjmsr-314	179	9	error	error	NOUN
bjmsr-314	179	10	estimation	estimation	NOUN
bjmsr-314	179	11	.	.	PUNCT
bjmsr-314	180	1	the	the	DET
bjmsr-314	180	2	first	first	ADJ
bjmsr-314	180	3	international	international	ADJ
bjmsr-314	180	4	conference	conference	NOUN
bjmsr-314	180	5	on	on	ADP
bjmsr-314	180	6	statistical	statistical	ADJ
bjmsr-314	180	7	data	datum	NOUN
bjmsr-314	180	8	analysis	analysis	NOUN
bjmsr-314	180	9	based	base	VERB
bjmsr-314	180	10	on	on	ADP
bjmsr-314	180	11	the	the	DET
bjmsr-314	180	12	l1‎‎	l1‎‎	ADJ
bjmsr-314	180	13	norm	norm	NOUN
bjmsr-314	180	14	and	and	CCONJ
bjmsr-314	180	15	related	related	ADJ
bjmsr-314	180	16	methods	method	NOUN
bjmsr-314	180	17	,	,	PUNCT
bjmsr-314	180	18	neuchatel	neuchatel	NOUN
bjmsr-314	180	19	,	,	PUNCT
bjmsr-314	180	20	switzerland	switzerland	PROPN
bjmsr-314	180	21	.	.	PUNCT
bjmsr-314	181	1	http://www.bidabad.com/doc/lae-i.pdf	http://www.bidabad.com/doc/lae-i.pdf	PROPN
bjmsr-314	181	2	bijan	bijan	PROPN
bjmsr-314	181	3	bidabad	bidabad	NOUN
bjmsr-314	181	4	(	(	PUNCT
bjmsr-314	181	5	1987b	1987b	NUM
bjmsr-314	181	6	)	)	PUNCT
bjmsr-314	181	7	least	least	ADJ
bjmsr-314	181	8	absolute	absolute	ADJ
bjmsr-314	181	9	error	error	NOUN
bjmsr-314	181	10	estimation	estimation	NOUN
bjmsr-314	181	11	,	,	PUNCT
bjmsr-314	181	12	part	part	PROPN
bjmsr-314	181	13	ii	ii	PROPN
bjmsr-314	181	14	.	.	PROPN
bjmsr-314	181	15	submitted	submit	VERB
bjmsr-314	181	16	to	to	ADP
bjmsr-314	181	17	the	the	DET
bjmsr-314	181	18	first	first	ADJ
bjmsr-314	181	19	international	international	ADJ
bjmsr-314	181	20	conference	conference	NOUN
bjmsr-314	181	21	on	on	ADP
bjmsr-314	181	22	statistical	statistical	ADJ
bjmsr-314	181	23	data	datum	NOUN
bjmsr-314	181	24	analysis	analysis	NOUN
bjmsr-314	181	25	based	base	VERB
bjmsr-314	181	26	on	on	ADP
bjmsr-314	181	27	the	the	DET
bjmsr-314	181	28	l1‎‎	l1‎‎	ADJ
bjmsr-314	181	29	norm	norm	NOUN
bjmsr-314	181	30	and	and	CCONJ
bjmsr-314	181	31	related	related	ADJ
bjmsr-314	181	32	methods	method	NOUN
bjmsr-314	181	33	,	,	PUNCT
bjmsr-314	181	34	neuchatel	neuchatel	NOUN
bjmsr-314	181	35	,	,	PUNCT
bjmsr-314	181	36	switzerland	switzerland	PROPN
bjmsr-314	181	37	.	.	PUNCT
bjmsr-314	182	1	http://www.bidabad.com/doc/lae-ii.pdf	http://www.bidabad.com/doc/lae-ii.pdf	PROPN
bjmsr-314	182	2	bijan	bijan	PROPN
bjmsr-314	182	3	bidabad	bidabad	NOUN
bjmsr-314	182	4	(	(	PUNCT
bjmsr-314	182	5	1988a	1988a	NUM
bjmsr-314	182	6	)	)	PUNCT
bjmsr-314	182	7	a	a	DET
bjmsr-314	182	8	proposed	propose	VERB
bjmsr-314	182	9	algorithm	algorithm	NOUN
bjmsr-314	182	10	for	for	ADP
bjmsr-314	182	11	least	least	ADJ
bjmsr-314	182	12	absolute	absolute	ADJ
bjmsr-314	182	13	error	error	NOUN
bjmsr-314	182	14	estimation	estimation	NOUN
bjmsr-314	182	15	.	.	PUNCT
bjmsr-314	183	1	proc	proc	PROPN
bjmsr-314	183	2	.	.	PUNCT
bjmsr-314	184	1	of	of	ADP
bjmsr-314	184	2	the	the	DET
bjmsr-314	184	3	third	third	ADJ
bjmsr-314	184	4	seminar	seminar	NOUN
bjmsr-314	184	5	of	of	ADP
bjmsr-314	184	6	mathematical	mathematical	ADJ
bjmsr-314	184	7	analysis	analysis	NOUN
bjmsr-314	184	8	.	.	PUNCT
bjmsr-314	185	1	shiraz	shiraz	PROPN
bjmsr-314	185	2	univ	univ	PROPN
bjmsr-314	185	3	.	.	PROPN
bjmsr-314	185	4	,	,	PUNCT
bjmsr-314	185	5	24	24	NUM
bjmsr-314	185	6	-	-	SYM
bjmsr-314	185	7	34	34	NUM
bjmsr-314	185	8	,	,	PUNCT
bjmsr-314	185	9	shiraz	shiraz	PROPN
bjmsr-314	185	10	,	,	PUNCT
bjmsr-314	185	11	iran	iran	PROPN
bjmsr-314	185	12	.	.	PUNCT
bjmsr-314	186	1	bijan	bijan	PROPN
bjmsr-314	186	2	bidabad	bidabad	NOUN
bjmsr-314	186	3	(	(	PUNCT
bjmsr-314	186	4	1988b	1988b	NUM
bjmsr-314	186	5	)	)	PUNCT
bjmsr-314	186	6	a	a	DET
bjmsr-314	186	7	proposed	propose	VERB
bjmsr-314	186	8	algorithm	algorithm	NOUN
bjmsr-314	186	9	for	for	ADP
bjmsr-314	186	10	least	least	ADJ
bjmsr-314	186	11	absolute	absolute	ADJ
bjmsr-314	186	12	error	error	NOUN
bjmsr-314	186	13	estimation	estimation	NOUN
bjmsr-314	186	14	,	,	PUNCT
bjmsr-314	186	15	part	part	PROPN
bjmsr-314	186	16	ii	ii	PROPN
bjmsr-314	186	17	.	.	PUNCT
bjmsr-314	186	18	proc	proc	PROPN
bjmsr-314	186	19	.	.	PUNCT
bjmsr-314	187	1	of	of	ADP
bjmsr-314	187	2	the	the	DET
bjmsr-314	187	3	third	third	ADJ
bjmsr-314	187	4	seminar	seminar	NOUN
bjmsr-314	187	5	of	of	ADP
bjmsr-314	187	6	mathematical	mathematical	ADJ
bjmsr-314	187	7	analysis	analysis	NOUN
bjmsr-314	187	8	,	,	PUNCT
bjmsr-314	187	9	shiraz	shiraz	PROPN
bjmsr-314	187	10	univ	univ	PROPN
bjmsr-314	187	11	.	.	PROPN
bjmsr-314	187	12	,	,	PUNCT
bjmsr-314	187	13	35	35	NUM
bjmsr-314	187	14	-	-	SYM
bjmsr-314	187	15	50	50	NUM
bjmsr-314	187	16	,	,	PUNCT
bjmsr-314	187	17	shiraz	shiraz	NOUN
bjmsr-314	187	18	,	,	PUNCT
bjmsr-314	187	19	iran	iran	PROPN
bjmsr-314	187	20	.	.	PUNCT
bjmsr-314	188	1	bijan	bijan	PROPN
bjmsr-314	188	2	bidabad	bidabad	NOUN
bjmsr-314	188	3	(	(	PUNCT
bjmsr-314	188	4	1989a	1989a	NUM
bjmsr-314	188	5	)	)	PUNCT
bjmsr-314	188	6	discrete	discrete	ADJ
bjmsr-314	188	7	and	and	CCONJ
bjmsr-314	188	8	continuous	continuous	ADJ
bjmsr-314	188	9	l1‎‎	l1‎‎	ADJ
bjmsr-314	188	10	norm	norm	NOUN
bjmsr-314	188	11	regressions	regression	NOUN
bjmsr-314	188	12	,	,	PUNCT
bjmsr-314	188	13	proposition	proposition	NOUN
bjmsr-314	188	14	of	of	ADP
bjmsr-314	188	15	discrete	discrete	ADJ
bjmsr-314	188	16	approximation	approximation	NOUN
bjmsr-314	188	17	algorithms	algorithm	NOUN
bjmsr-314	188	18	and	and	CCONJ
bjmsr-314	188	19	continuous	continuous	ADJ
bjmsr-314	188	20	smoothing	smoothing	NOUN
bjmsr-314	188	21	of	of	ADP
bjmsr-314	188	22	concentration	concentration	NOUN
bjmsr-314	188	23	surface	surface	NOUN
bjmsr-314	188	24	,	,	PUNCT
bjmsr-314	188	25	ph.d	ph.d	PROPN
bjmsr-314	188	26	.	.	PUNCT
bjmsr-314	189	1	thesis	thesis	PROPN
bjmsr-314	189	2	,	,	PUNCT
bjmsr-314	189	3	islamic	islamic	PROPN
bjmsr-314	189	4	azad	azad	PROPN
bjmsr-314	189	5	univ	univ	PROPN
bjmsr-314	189	6	.	.	PROPN
bjmsr-314	189	7	,	,	PUNCT
bjmsr-314	189	8	tehran	tehran	PROPN
bjmsr-314	189	9	,	,	PUNCT
bjmsr-314	189	10	iran	iran	PROPN
bjmsr-314	189	11	.	.	PUNCT
bjmsr-314	190	1	http://www.bidabad.com/doc/l1-norm-thesis-en.pdf	http://www.bidabad.com/doc/l1-norm-thesis-en.pdf	PROPN
bjmsr-314	190	2	bijan	bijan	PROPN
bjmsr-314	190	3	bidabad	bidabad	NOUN
bjmsr-314	190	4	(	(	PUNCT
bjmsr-314	190	5	1989b	1989b	NUM
bjmsr-314	190	6	)	)	PUNCT
bjmsr-314	190	7	discrete	discrete	ADJ
bjmsr-314	190	8	and	and	CCONJ
bjmsr-314	190	9	continuous	continuous	ADJ
bjmsr-314	190	10	l1‎‎	l1‎‎	ADJ
bjmsr-314	190	11	norm	norm	NOUN
bjmsr-314	190	12	regressions	regression	NOUN
bjmsr-314	190	13	,	,	PUNCT
bjmsr-314	190	14	proposition	proposition	NOUN
bjmsr-314	190	15	of	of	ADP
bjmsr-314	190	16	discrete	discrete	ADJ
bjmsr-314	190	17	approximation	approximation	NOUN
bjmsr-314	190	18	algorithms	algorithm	NOUN
bjmsr-314	190	19	and	and	CCONJ
bjmsr-314	190	20	continuous	continuous	ADJ
bjmsr-314	190	21	smoothing	smoothing	NOUN
bjmsr-314	190	22	of	of	ADP
bjmsr-314	190	23	concentration	concentration	NOUN
bjmsr-314	190	24	surface	surface	NOUN
bjmsr-314	190	25	,	,	PUNCT
bjmsr-314	190	26	ph.d	ph.d	PROPN
bjmsr-314	190	27	.	.	PUNCT
bjmsr-314	191	1	thesis	thesis	PROPN
bjmsr-314	191	2	,	,	PUNCT
bjmsr-314	191	3	islamic	islamic	PROPN
bjmsr-314	191	4	azad	azad	PROPN
bjmsr-314	191	5	univ	univ	PROPN
bjmsr-314	191	6	.	.	PROPN
bjmsr-314	191	7	,	,	PUNCT
bjmsr-314	191	8	tehran	tehran	PROPN
bjmsr-314	191	9	,	,	PUNCT
bjmsr-314	191	10	iran	iran	PROPN
bjmsr-314	191	11	.	.	PUNCT
bjmsr-314	192	1	farsi	farsi	PROPN
bjmsr-314	192	2	translation	translation	NOUN
bjmsr-314	192	3	.	.	PUNCT
bjmsr-314	193	1	http://www.bidabad.com/doc/l1-norm-thesis-fa.pdf	http://www.bidabad.com/doc/l1-norm-thesis-fa.pdf	PROPN
bjmsr-314	193	2	bijan	bijan	PROPN
bjmsr-314	193	3	bidabad	bidabad	NOUN
bjmsr-314	193	4	(	(	PUNCT
bjmsr-314	193	5	2005	2005	NUM
bjmsr-314	193	6	)	)	PUNCT
bjmsr-314	193	7	.	.	PUNCT
bjmsr-314	194	1	l1	l1	PROPN
bjmsr-314	194	2	norm	norm	PROPN
bjmsr-314	194	3	based	base	VERB
bjmsr-314	194	4	computational	computational	ADJ
bjmsr-314	194	5	algorithms	algorithm	NOUN
bjmsr-314	194	6	.	.	PUNCT
bjmsr-314	195	1	http://www.bidabad.com/doc/l1-article6.pdf	http://www.bidabad.com/doc/l1-article6.pdf	PROPN
bjmsr-314	195	2	bijan	bijan	PROPN
bjmsr-314	195	3	bidabad	bidabad	NOUN
bjmsr-314	195	4	(	(	PUNCT
bjmsr-314	195	5	2005	2005	NUM
bjmsr-314	195	6	)	)	PUNCT
bjmsr-314	195	7	.	.	PUNCT
bjmsr-314	196	1	l1	l1	PROPN
bjmsr-314	196	2	norm	norm	NOUN
bjmsr-314	196	3	solution	solution	NOUN
bjmsr-314	196	4	of	of	ADP
bjmsr-314	196	5	overdetermined	overdetermined	ADJ
bjmsr-314	196	6	system	system	NOUN
bjmsr-314	196	7	of	of	ADP
bjmsr-314	196	8	linear	linear	PROPN
bjmsr-314	196	9	equations	equation	NOUN
bjmsr-314	196	10	.	.	PUNCT
bjmsr-314	197	1	http://www.bidabad.com/doc/l1article5.pdf	http://www.bidabad.com/doc/l1article5.pdf	PROPN
bjmsr-314	197	2	bijan	bijan	PROPN
bjmsr-314	197	3	bidabad	bidabad	NOUN
bjmsr-314	197	4	(	(	PUNCT
bjmsr-314	197	5	2005	2005	NUM
bjmsr-314	197	6	)	)	PUNCT
bjmsr-314	197	7	.	.	PUNCT
bjmsr-314	198	1	l1	l1	PROPN
bjmsr-314	198	2	norm	norm	PROPN
bjmsr-314	198	3	based	base	VERB
bjmsr-314	198	4	data	datum	NOUN
bjmsr-314	198	5	analysis	analysis	NOUN
bjmsr-314	198	6	and	and	CCONJ
bjmsr-314	198	7	related	related	ADJ
bjmsr-314	198	8	methods	method	NOUN
bjmsr-314	198	9	.	.	PUNCT
bjmsr-314	199	1	http://www.bidabad.com/doc/l1-articl1.pdf	http://www.bidabad.com/doc/l1-articl1.pdf	PROPN
bjmsr-314	199	2	http://www.bidabad.com/doc/lae-i.pdf	http://www.bidabad.com/doc/lae-i.pdf	PROPN
bjmsr-314	199	3	http://www.bidabad.com/doc/lae-ii.pdf	http://www.bidabad.com/doc/lae-ii.pdf	PROPN
bjmsr-314	199	4	http://www.bidabad.com/doc/l1-norm-thesis-en.pdf	http://www.bidabad.com/doc/l1-norm-thesis-en.pdf	PROPN
bjmsr-314	199	5	http://www.bidabad.com/doc/l1-norm-thesis-fa.pdf	http://www.bidabad.com/doc/l1-norm-thesis-fa.pdf	PROPN
bjmsr-314	199	6	http://www.bidabad.com/doc/l1-article6.pdf	http://www.bidabad.com/doc/l1-article6.pdf	PROPN
bjmsr-314	199	7	http://www.bidabad.com/doc/l1-article5.pdf	http://www.bidabad.com/doc/l1-article5.pdf	PROPN
bjmsr-314	199	8	http://www.bidabad.com/doc/l1-article5.pdf	http://www.bidabad.com/doc/l1-article5.pdf	PROPN
bjmsr-314	199	9	http://www.bidabad.com/doc/l1-article1.pdf	http://www.bidabad.com/doc/l1-article1.pdf	PROPN
bjmsr-314	199	10	copyright	copyright	NOUN
bjmsr-314	200	1	©	©	PROPN
bjmsr-314	200	2	cc	cc	PROPN
bjmsr-314	200	3	-	-	PUNCT
bjmsr-314	200	4	by	by	ADP
bjmsr-314	200	5	-	-	PUNCT
bjmsr-314	200	6	nc	nc	PROPN
bjmsr-314	200	7	2019	2019	NUM
bjmsr-314	200	8	,	,	PUNCT
bjmsr-314	200	9	bjmsr	bjmsr	PROPN
bjmsr-314	200	10	www.cribfb.com/journal/index.php/bjmsr	www.cribfb.com/journal/index.php/bjmsr	X
bjmsr-314	201	1	bangladesh	bangladesh	PROPN
bjmsr-314	201	2	journal	journal	PROPN
bjmsr-314	201	3	of	of	ADP
bjmsr-314	201	4	multidisciplinary	multidisciplinary	ADJ
bjmsr-314	201	5	scientific	scientific	ADJ
bjmsr-314	201	6	research	research	NOUN
bjmsr-314	201	7	vol	vol	NOUN
bjmsr-314	201	8	.	.	PROPN
bjmsr-314	201	9	1	1	NUM
bjmsr-314	201	10	,	,	PUNCT
bjmsr-314	201	11	no	no	INTJ
bjmsr-314	201	12	.	.	NOUN
bjmsr-314	201	13	1	1	NUM
bjmsr-314	201	14	;	;	PUNCT
bjmsr-314	201	15	2019	2019	NUM
bjmsr-314	201	16	48	48	NUM
bjmsr-314	201	17	bijan	bijan	NOUN
bjmsr-314	201	18	bidabad	bidabad	NOUN
bjmsr-314	201	19	(	(	PUNCT
bjmsr-314	201	20	2005	2005	NUM
bjmsr-314	201	21	)	)	PUNCT
bjmsr-314	201	22	.	.	PUNCT
bjmsr-314	202	1	new	new	ADJ
bjmsr-314	202	2	algorithms	algorithm	NOUN
bjmsr-314	202	3	for	for	ADP
bjmsr-314	202	4	the	the	DET
bjmsr-314	202	5	l1	l1	PROPN
bjmsr-314	202	6	norm	norm	NOUN
bjmsr-314	202	7	regression	regression	NOUN
bjmsr-314	202	8	.	.	PUNCT
bjmsr-314	203	1	http://www.bidabad.com/doc/l1-article2.pdf	http://www.bidabad.com/doc/l1-article2.pdf	ADJ
bjmsr-314	203	2	bijan	bijan	NOUN
bjmsr-314	203	3	bidabad	bidabad	NOUN
bjmsr-314	203	4	(	(	PUNCT
bjmsr-314	203	5	2005	2005	NUM
bjmsr-314	203	6	)	)	PUNCT
bjmsr-314	203	7	.	.	PUNCT
bjmsr-314	204	1	comparative	comparative	ADJ
bjmsr-314	204	2	study	study	NOUN
bjmsr-314	204	3	of	of	ADP
bjmsr-314	204	4	the	the	DET
bjmsr-314	204	5	l1	l1	PROPN
bjmsr-314	204	6	norm	norm	PROPN
bjmsr-314	204	7	regression	regression	NOUN
bjmsr-314	204	8	algorithms	algorithm	NOUN
bjmsr-314	204	9	.	.	PUNCT
bjmsr-314	205	1	http://www.bidabad.com/doc/l1-articl3.pdf	http://www.bidabad.com/doc/l1-articl3.pdf	PROPN
bjmsr-314	205	2	bijan	bijan	PROPN
bjmsr-314	205	3	bidabad	bidabad	NOUN
bjmsr-314	205	4	(	(	PUNCT
bjmsr-314	205	5	2005	2005	NUM
bjmsr-314	205	6	)	)	PUNCT
bjmsr-314	205	7	.	.	PUNCT
bjmsr-314	206	1	continuous	continuous	ADJ
bjmsr-314	206	2	l1	l1	PROPN
bjmsr-314	206	3	norm	norm	NOUN
bjmsr-314	206	4	estimation	estimation	NOUN
bjmsr-314	206	5	of	of	ADP
bjmsr-314	206	6	lorenz	lorenz	PROPN
bjmsr-314	206	7	curve	curve	PROPN
bjmsr-314	206	8	.	.	PUNCT
bjmsr-314	207	1	http://www.bidabad.com/doc/l1-articl4.pdf	http://www.bidabad.com/doc/l1-articl4.pdf	PROPN
bjmsr-314	207	2	bijan	bijan	PROPN
bjmsr-314	207	3	bidabad	bidabad	NOUN
bjmsr-314	207	4	(	(	PUNCT
bjmsr-314	207	5	1993	1993	NUM
bjmsr-314	207	6	)	)	PUNCT
bjmsr-314	207	7	.	.	PUNCT
bjmsr-314	208	1	estimating	estimate	VERB
bjmsr-314	208	2	lorenz	lorenz	PROPN
bjmsr-314	208	3	curve	curve	NOUN
bjmsr-314	208	4	for	for	ADP
bjmsr-314	208	5	iran	iran	PROPN
bjmsr-314	208	6	by	by	ADP
bjmsr-314	208	7	using	use	VERB
bjmsr-314	208	8	continuous	continuous	ADJ
bjmsr-314	208	9	l1	l1	PROPN
bjmsr-314	208	10	norm	norm	NOUN
bjmsr-314	208	11	estimation	estimation	PROPN
bjmsr-314	208	12	,	,	PUNCT
bjmsr-314	208	13	economics	economic	NOUN
bjmsr-314	208	14	and	and	CCONJ
bjmsr-314	208	15	management	management	NOUN
bjmsr-314	208	16	journal	journal	NOUN
bjmsr-314	208	17	,	,	PUNCT
bjmsr-314	208	18	islamic	islamic	PROPN
bjmsr-314	208	19	azad	azad	PROPN
bjmsr-314	208	20	university	university	PROPN
bjmsr-314	208	21	,	,	PUNCT
bjmsr-314	208	22	no	no	INTJ
bjmsr-314	208	23	.	.	NOUN
bjmsr-314	208	24	19	19	NUM
bjmsr-314	208	25	,	,	PUNCT
bjmsr-314	208	26	winter	winter	NOUN
bjmsr-314	208	27	1993	1993	NUM
bjmsr-314	208	28	,	,	PUNCT
bjmsr-314	208	29	pp	pp	ADV
bjmsr-314	208	30	.	.	PUNCT
bjmsr-314	209	1	83	83	NUM
bjmsr-314	209	2	-	-	SYM
bjmsr-314	209	3	101	101	NUM
bjmsr-314	209	4	.	.	PUNCT
bjmsr-314	210	1	http://www.bidabad.com/doc/iraninc-l1.pdf	http://www.bidabad.com/doc/iraninc-l1.pdf	PROPN
bjmsr-314	210	2	bijan	bijan	PROPN
bjmsr-314	210	3	bidabad	bidabad	NOUN
bjmsr-314	210	4	(	(	PUNCT
bjmsr-314	210	5	2005	2005	NUM
bjmsr-314	210	6	)	)	PUNCT
bjmsr-314	210	7	.	.	PUNCT
bjmsr-314	211	1	continuous	continuous	ADJ
bjmsr-314	211	2	l1	l1	PROPN
bjmsr-314	211	3	norm	norm	NOUN
bjmsr-314	211	4	estimation	estimation	NOUN
bjmsr-314	211	5	of	of	ADP
bjmsr-314	211	6	lorenz	lorenz	PROPN
bjmsr-314	211	7	curve	curve	VERB
bjmsr-314	211	8	when	when	SCONJ
bjmsr-314	211	9	probability	probability	NOUN
bjmsr-314	211	10	density	density	NOUN
bjmsr-314	211	11	function	function	NOUN
bjmsr-314	211	12	is	be	AUX
bjmsr-314	211	13	known	know	VERB
bjmsr-314	211	14	.	.	PUNCT
bjmsr-314	212	1	bijan	bijan	PROPN
bjmsr-314	212	2	bidabad	bidabad	NOUN
bjmsr-314	212	3	(	(	PUNCT
bjmsr-314	212	4	2005	2005	NUM
bjmsr-314	212	5	)	)	PUNCT
bjmsr-314	212	6	.	.	PUNCT
bjmsr-314	213	1	usa	usa	PROPN
bjmsr-314	213	2	income	income	PROPN
bjmsr-314	213	3	distribution	distribution	PROPN
bjmsr-314	213	4	counter	counter	NOUN
bjmsr-314	213	5	-	-	NOUN
bjmsr-314	213	6	business	business	NOUN
bjmsr-314	213	7	-	-	PUNCT
bjmsr-314	213	8	cyclical	cyclical	ADJ
bjmsr-314	213	9	trend	trend	NOUN
bjmsr-314	213	10	(	(	PUNCT
bjmsr-314	213	11	estimating	estimate	VERB
bjmsr-314	213	12	lorenz	lorenz	PROPN
bjmsr-314	213	13	curve	curve	NOUN
bjmsr-314	213	14	using	use	VERB
bjmsr-314	213	15	continuous	continuous	ADJ
bjmsr-314	213	16	l1	l1	PROPN
bjmsr-314	213	17	norm	norm	NOUN
bjmsr-314	213	18	estimation	estimation	PROPN
bjmsr-314	213	19	)	)	PUNCT
bjmsr-314	213	20	.	.	PUNCT
bjmsr-314	214	1	first	first	ADJ
bjmsr-314	214	2	meeting	meeting	NOUN
bjmsr-314	214	3	of	of	ADP
bjmsr-314	214	4	the	the	DET
bjmsr-314	214	5	society	society	NOUN
bjmsr-314	214	6	for	for	ADP
bjmsr-314	214	7	the	the	DET
bjmsr-314	214	8	study	study	NOUN
bjmsr-314	214	9	of	of	ADP
bjmsr-314	214	10	economic	economic	ADJ
bjmsr-314	214	11	inequality	inequality	NOUN
bjmsr-314	214	12	(	(	PUNCT
bjmsr-314	214	13	ecineq	ecineq	PROPN
bjmsr-314	214	14	)	)	PUNCT
bjmsr-314	214	15	,	,	PUNCT
bjmsr-314	214	16	palma	palma	PROPN
bjmsr-314	214	17	de	de	PROPN
bjmsr-314	214	18	mallorca	mallorca	PROPN
bjmsr-314	214	19	,	,	PUNCT
bjmsr-314	214	20	spain	spain	PROPN
bjmsr-314	214	21	,	,	PUNCT
bjmsr-314	214	22	july	july	PROPN
bjmsr-314	214	23	20	20	NUM
bjmsr-314	214	24	-	-	SYM
bjmsr-314	214	25	22	22	NUM
bjmsr-314	214	26	,	,	PUNCT
bjmsr-314	214	27	2005	2005	NUM
bjmsr-314	214	28	.	.	PUNCT
bjmsr-314	215	1	http://www.uib.es/congres/ecopub/ecineq/general.html	http://www.uib.es/congres/ecopub/ecineq/general.html	PROPN
bjmsr-314	215	2	http://www.uib.es/congres/ecopub/ecineq/papers/039bidabab.pdf	http://www.uib.es/congres/ecopub/ecineq/papers/039bidabab.pdf	PROPN
bjmsr-314	215	3	http://www.bidabad.com/doc/estimating-lorenz-us.pdf	http://www.bidabad.com/doc/estimating-lorenz-us.pdf	PROPN
bjmsr-314	215	4	bijan	bijan	PROPN
bjmsr-314	215	5	bidabad	bidabad	PROPN
bjmsr-314	215	6	,	,	PUNCT
bjmsr-314	215	7	hamid	hamid	PROPN
bjmsr-314	215	8	shahrestani	shahrestani	PROPN
bjmsr-314	215	9	.	.	PUNCT
bjmsr-314	216	1	(	(	PUNCT
bjmsr-314	216	2	2008	2008	NUM
bjmsr-314	216	3	)	)	PUNCT
bjmsr-314	216	4	an	an	DET
bjmsr-314	216	5	implied	imply	VERB
bjmsr-314	216	6	inequality	inequality	NOUN
bjmsr-314	216	7	index	index	NOUN
bjmsr-314	216	8	using	use	VERB
bjmsr-314	216	9	l1	l1	PROPN
bjmsr-314	216	10	norm	norm	NOUN
bjmsr-314	216	11	estimation	estimation	NOUN
bjmsr-314	216	12	of	of	ADP
bjmsr-314	216	13	lorenz	lorenz	PROPN
bjmsr-314	216	14	curve	curve	PROPN
bjmsr-314	216	15	.	.	PUNCT
bjmsr-314	217	1	global	global	ADJ
bjmsr-314	217	2	conference	conference	NOUN
bjmsr-314	217	3	on	on	ADP
bjmsr-314	217	4	business	business	NOUN
bjmsr-314	217	5	and	and	CCONJ
bjmsr-314	217	6	finance	finance	NOUN
bjmsr-314	217	7	proceedings	proceeding	NOUN
bjmsr-314	217	8	.	.	PUNCT
bjmsr-314	218	1	mercedes	mercede	NOUN
bjmsr-314	218	2	jalbert	jalbert	PROPN
bjmsr-314	218	3	,	,	PUNCT
bjmsr-314	218	4	managing	managing	NOUN
bjmsr-314	218	5	editor	editor	NOUN
bjmsr-314	218	6	,	,	PUNCT
bjmsr-314	218	7	issn	issn	PROPN
bjmsr-314	218	8	1931	1931	NUM
bjmsr-314	218	9	-	-	SYM
bjmsr-314	218	10	0285	0285	NUM
bjmsr-314	218	11	cd	cd	PROPN
bjmsr-314	218	12	,	,	PUNCT
bjmsr-314	218	13	issn	issn	PROPN
bjmsr-314	218	14	1941	1941	NUM
bjmsr-314	218	15	-	-	SYM
bjmsr-314	218	16	9589	9589	NUM
bjmsr-314	218	17	online	online	NOUN
bjmsr-314	218	18	,	,	PUNCT
bjmsr-314	218	19	volume	volume	NOUN
bjmsr-314	218	20	3	3	NUM
bjmsr-314	218	21	,	,	PUNCT
bjmsr-314	218	22	number	number	NOUN
bjmsr-314	218	23	2	2	NUM
bjmsr-314	218	24	,	,	PUNCT
bjmsr-314	218	25	2008	2008	NUM
bjmsr-314	218	26	,	,	PUNCT
bjmsr-314	218	27	the	the	DET
bjmsr-314	218	28	institute	institute	NOUN
bjmsr-314	218	29	for	for	ADP
bjmsr-314	218	30	business	business	NOUN
bjmsr-314	218	31	and	and	CCONJ
bjmsr-314	218	32	finance	finance	NOUN
bjmsr-314	218	33	research	research	NOUN
bjmsr-314	218	34	,	,	PUNCT
bjmsr-314	218	35	ramada	ramada	PROPN
bjmsr-314	218	36	plaza	plaza	PROPN
bjmsr-314	218	37	herradura	herradura	NOUN
bjmsr-314	218	38	,	,	PUNCT
bjmsr-314	218	39	san	san	PROPN
bjmsr-314	218	40	jose	jose	PROPN
bjmsr-314	218	41	,	,	PUNCT
bjmsr-314	218	42	costa	costa	PROPN
bjmsr-314	218	43	rica	rica	PROPN
bjmsr-314	218	44	,	,	PUNCT
bjmsr-314	218	45	may	may	AUX
bjmsr-314	218	46	28	28	NUM
bjmsr-314	218	47	-	-	SYM
bjmsr-314	218	48	31	31	NUM
bjmsr-314	218	49	,	,	PUNCT
bjmsr-314	218	50	2008	2008	NUM
bjmsr-314	218	51	,	,	PUNCT
bjmsr-314	218	52	pp	pp	ADJ
bjmsr-314	218	53	.	.	PUNCT
bjmsr-314	219	1	148	148	NUM
bjmsr-314	219	2	-	-	SYM
bjmsr-314	219	3	163	163	NUM
bjmsr-314	219	4	.	.	PUNCT
bjmsr-314	220	1	global	global	ADJ
bjmsr-314	220	2	journal	journal	PROPN
bjmsr-314	220	3	of	of	ADP
bjmsr-314	220	4	business	business	NOUN
bjmsr-314	220	5	research	research	NOUN
bjmsr-314	220	6	,	,	PUNCT
bjmsr-314	220	7	vol	vol	NOUN
bjmsr-314	220	8	.	.	PROPN
bjmsr-314	220	9	4	4	NUM
bjmsr-314	220	10	,	,	PUNCT
bjmsr-314	220	11	no	no	INTJ
bjmsr-314	220	12	.	.	NOUN
bjmsr-314	220	13	1	1	NUM
bjmsr-314	220	14	,	,	PUNCT
bjmsr-314	220	15	2010	2010	NUM
bjmsr-314	220	16	,	,	PUNCT
bjmsr-314	220	17	pp.29	pp.29	NOUN
bjmsr-314	220	18	-	-	PUNCT
bjmsr-314	220	19	45	45	NUM
bjmsr-314	220	20	.	.	PUNCT
bjmsr-314	221	1	http://www.bidabad.com/doc/l1-implied-inequality-index-4.pdf	http://www.bidabad.com/doc/l1-implied-inequality-index-4.pdf	PROPN
bjmsr-314	221	2	http://www.theibfr.com/archive/issn-1941-9589-v3-n2-2008.pdf	http://www.theibfr.com/archive/issn-1941-9589-v3-n2-2008.pdf	PROPN
bjmsr-314	221	3	http://www.bidabad.com/doc/ssrn-id1631861.pdf	http://www.bidabad.com/doc/ssrn-id1631861.pdf	PROPN
bjmsr-314	221	4	bijan	bijan	PROPN
bjmsr-314	221	5	bidabad	bidabad	NOUN
bjmsr-314	221	6	,	,	PUNCT
bjmsr-314	221	7	functional	functional	ADJ
bjmsr-314	221	8	form	form	NOUN
bjmsr-314	221	9	for	for	ADP
bjmsr-314	221	10	estimating	estimate	VERB
bjmsr-314	221	11	the	the	DET
bjmsr-314	221	12	lorenz	lorenz	PROPN
bjmsr-314	221	13	curve	curve	NOUN
bjmsr-314	221	14	,	,	PUNCT
bjmsr-314	221	15	australasian	australasian	ADJ
bjmsr-314	221	16	econometric	econometric	ADJ
bjmsr-314	221	17	meeting	meeting	NOUN
bjmsr-314	221	18	,	,	PUNCT
bjmsr-314	221	19	australian	australian	ADJ
bjmsr-314	221	20	national	national	PROPN
bjmsr-314	221	21	university	university	PROPN
bjmsr-314	221	22	,	,	PUNCT
bjmsr-314	221	23	australia	australia	PROPN
bjmsr-314	221	24	,	,	PUNCT
bjmsr-314	221	25	1989	1989	NUM
bjmsr-314	221	26	.	.	PUNCT
bjmsr-314	222	1	american	american	PROPN
bjmsr-314	222	2	finance	finance	PROPN
bjmsr-314	222	3	&	&	CCONJ
bjmsr-314	222	4	banking	banking	PROPN
bjmsr-314	222	5	review	review	PROPN
bjmsr-314	222	6	,	,	PUNCT
bjmsr-314	222	7	4(1	4(1	NOUN
bjmsr-314	222	8	)	)	PUNCT
bjmsr-314	222	9	,	,	PUNCT
bjmsr-314	222	10	17	17	NUM
bjmsr-314	222	11	-	-	SYM
bjmsr-314	222	12	21	21	NUM
bjmsr-314	222	13	,	,	PUNCT
bjmsr-314	222	14	2019	2019	NUM
bjmsr-314	222	15	.	.	PUNCT
bjmsr-314	223	1	https://www.cribfb.com/journal/index.php/amfbr/article/view/286	https://www.cribfb.com/journal/index.php/amfbr/article/view/286	ADJ
bjmsr-314	223	2	http://www.bidabad.com/doc/functional-form-lorenz.pdf	http://www.bidabad.com/doc/functional-form-lorenz.pdf	PROPN
bjmsr-314	223	3	http://www.bidabad.com/doc/functional-form-lorenz.pptx	http://www.bidabad.com/doc/functional-form-lorenz.pptx	PROPN
bjmsr-314	223	4	cramer	cramer	PROPN
bjmsr-314	223	5	j.s	j.s	PROPN
bjmsr-314	223	6	.	.	PUNCT
bjmsr-314	224	1	(	(	PUNCT
bjmsr-314	224	2	1973	1973	NUM
bjmsr-314	224	3	)	)	PUNCT
bjmsr-314	224	4	empirical	empirical	ADJ
bjmsr-314	224	5	econometrics	econometric	NOUN
bjmsr-314	224	6	.	.	PUNCT
bjmsr-314	225	1	north	north	NOUN
bjmsr-314	225	2	-	-	PUNCT
bjmsr-314	225	3	holland	holland	PROPN
bjmsr-314	225	4	,	,	PUNCT
bjmsr-314	225	5	amsterdam	amsterdam	PROPN
bjmsr-314	225	6	.	.	PUNCT
bjmsr-314	226	1	gupta	gupta	PROPN
bjmsr-314	226	2	m.r	m.r	PROPN
bjmsr-314	226	3	.	.	PROPN
bjmsr-314	227	1	(	(	PUNCT
bjmsr-314	227	2	1984	1984	NUM
bjmsr-314	227	3	)	)	PUNCT
bjmsr-314	227	4	functional	functional	ADJ
bjmsr-314	227	5	forms	form	NOUN
bjmsr-314	227	6	for	for	ADP
bjmsr-314	227	7	estimating	estimate	VERB
bjmsr-314	227	8	the	the	DET
bjmsr-314	227	9	lorenz	lorenz	PROPN
bjmsr-314	227	10	curve	curve	NOUN
bjmsr-314	227	11	.	.	PUNCT
bjmsr-314	228	1	econometrica	econometrica	PROPN
bjmsr-314	228	2	,	,	PUNCT
bjmsr-314	228	3	52	52	NUM
bjmsr-314	228	4	,	,	PUNCT
bjmsr-314	228	5	1313	1313	NUM
bjmsr-314	228	6	-	-	SYM
bjmsr-314	228	7	1314	1314	NUM
bjmsr-314	228	8	.	.	PUNCT
bjmsr-314	229	1	hobby	hobby	PROPN
bjmsr-314	229	2	c.r	c.r	PROPN
bjmsr-314	229	3	.	.	PROPN
bjmsr-314	229	4	,	,	PUNCT
bjmsr-314	229	5	j.r	j.r	PROPN
bjmsr-314	229	6	.	.	PROPN
bjmsr-314	229	7	rice	rice	PROPN
bjmsr-314	229	8	(	(	PUNCT
bjmsr-314	229	9	1965	1965	NUM
bjmsr-314	229	10	)	)	PUNCT
bjmsr-314	229	11	a	a	DET
bjmsr-314	229	12	moment	moment	NOUN
bjmsr-314	229	13	problem	problem	NOUN
bjmsr-314	229	14	in	in	ADP
bjmsr-314	229	15	l1	l1	PROPN
bjmsr-314	229	16	approximation	approximation	NOUN
bjmsr-314	229	17	.	.	PUNCT
bjmsr-314	230	1	proc	proc	PROPN
bjmsr-314	230	2	.	.	PUNCT
bjmsr-314	231	1	amer	amer	PROPN
bjmsr-314	231	2	.	.	PUNCT
bjmsr-314	231	3	math	math	PROPN
bjmsr-314	231	4	.	.	PUNCT
bjmsr-314	232	1	soc	soc	PROPN
bjmsr-314	232	2	.	.	PUNCT
bjmsr-314	232	3	,	,	PUNCT
bjmsr-314	232	4	16	16	NUM
bjmsr-314	232	5	,	,	PUNCT
bjmsr-314	232	6	665	665	NUM
bjmsr-314	232	7	-	-	SYM
bjmsr-314	232	8	670	670	NUM
bjmsr-314	232	9	.	.	PUNCT
bjmsr-314	233	1	kakwani	kakwani	PROPN
bjmsr-314	233	2	n.c	n.c	PROPN
bjmsr-314	233	3	.	.	PROPN
bjmsr-314	233	4	(	(	PUNCT
bjmsr-314	233	5	1980	1980	NUM
bjmsr-314	233	6	)	)	PUNCT
bjmsr-314	233	7	functional	functional	ADJ
bjmsr-314	233	8	forms	form	NOUN
bjmsr-314	233	9	for	for	ADP
bjmsr-314	233	10	estimating	estimate	VERB
bjmsr-314	233	11	the	the	DET
bjmsr-314	233	12	lorenz	lorenz	PROPN
bjmsr-314	233	13	curve	curve	NOUN
bjmsr-314	233	14	:	:	PUNCT
bjmsr-314	233	15	a	a	DET
bjmsr-314	233	16	reply	reply	NOUN
bjmsr-314	233	17	.	.	PUNCT
bjmsr-314	234	1	econometrica	econometrica	PROPN
bjmsr-314	234	2	,	,	PUNCT
bjmsr-314	234	3	48	48	NUM
bjmsr-314	234	4	,	,	PUNCT
bjmsr-314	234	5	1063	1063	NUM
bjmsr-314	234	6	-	-	SYM
bjmsr-314	234	7	64	64	NUM
bjmsr-314	234	8	.	.	PUNCT
bjmsr-314	235	1	kakwani	kakwani	PROPN
bjmsr-314	235	2	n.c	n.c	PROPN
bjmsr-314	235	3	.	.	PROPN
bjmsr-314	235	4	,	,	PUNCT
bjmsr-314	235	5	n.	n.	NOUN
bjmsr-314	235	6	podder	podder	NOUN
bjmsr-314	235	7	(	(	PUNCT
bjmsr-314	235	8	1976	1976	NUM
bjmsr-314	235	9	)	)	PUNCT
bjmsr-314	235	10	efficient	efficient	ADJ
bjmsr-314	235	11	estimation	estimation	NOUN
bjmsr-314	235	12	of	of	ADP
bjmsr-314	235	13	the	the	DET
bjmsr-314	235	14	lorenz	lorenz	PROPN
bjmsr-314	235	15	curve	curve	NOUN
bjmsr-314	235	16	and	and	CCONJ
bjmsr-314	235	17	associated	associated	ADJ
bjmsr-314	235	18	inequality	inequality	NOUN
bjmsr-314	235	19	measures	measure	NOUN
bjmsr-314	235	20	from	from	ADP
bjmsr-314	235	21	grouped	group	VERB
bjmsr-314	235	22	observations	observation	NOUN
bjmsr-314	235	23	.	.	PUNCT
bjmsr-314	236	1	econometrica	econometrica	PROPN
bjmsr-314	236	2	44	44	NUM
bjmsr-314	236	3	,	,	PUNCT
bjmsr-314	236	4	137	137	NUM
bjmsr-314	236	5	-	-	SYM
bjmsr-314	236	6	148	148	NUM
bjmsr-314	236	7	.	.	PUNCT
bjmsr-314	237	1	kendall	kendall	PROPN
bjmsr-314	237	2	m.	m.	PROPN
bjmsr-314	237	3	,	,	PUNCT
bjmsr-314	237	4	a.	a.	PROPN
bjmsr-314	237	5	stuart	stuart	PROPN
bjmsr-314	237	6	(	(	PUNCT
bjmsr-314	237	7	1977	1977	NUM
bjmsr-314	237	8	)	)	PUNCT
bjmsr-314	237	9	the	the	DET
bjmsr-314	237	10	advanced	advanced	ADJ
bjmsr-314	237	11	theory	theory	NOUN
bjmsr-314	237	12	of	of	ADP
bjmsr-314	237	13	statistics	statistic	NOUN
bjmsr-314	237	14	.	.	PUNCT
bjmsr-314	238	1	vol.1	vol.1	ADV
bjmsr-314	238	2	,	,	PUNCT
bjmsr-314	238	3	charles	charles	PROPN
bjmsr-314	238	4	griffin	griffin	PROPN
bjmsr-314	238	5	&	&	CCONJ
bjmsr-314	238	6	co.	co.	PROPN
bjmsr-314	238	7	,	,	PUNCT
bjmsr-314	238	8	london	london	PROPN
bjmsr-314	238	9	.	.	PUNCT
bjmsr-314	239	1	kripke	kripke	PROPN
bjmsr-314	239	2	b.r	b.r	PROPN
bjmsr-314	239	3	.	.	PROPN
bjmsr-314	239	4	,	,	PUNCT
bjmsr-314	239	5	t.j	t.j	PROPN
bjmsr-314	239	6	.	.	PROPN
bjmsr-314	239	7	rivlin	rivlin	PROPN
bjmsr-314	239	8	(	(	PUNCT
bjmsr-314	239	9	1965	1965	NUM
bjmsr-314	239	10	)	)	PUNCT
bjmsr-314	239	11	approximation	approximation	NOUN
bjmsr-314	239	12	in	in	ADP
bjmsr-314	239	13	the	the	DET
bjmsr-314	239	14	metric	metric	NOUN
bjmsr-314	239	15	of	of	ADP
bjmsr-314	239	16	l1(x	l1(x	PROPN
bjmsr-314	239	17	,	,	PUNCT
bjmsr-314	239	18	u	u	NOUN
bjmsr-314	239	19	)	)	PUNCT
bjmsr-314	239	20	.	.	PUNCT
bjmsr-314	240	1	trans	trans	PROPN
bjmsr-314	240	2	.	.	PUNCT
bjmsr-314	241	1	amer	amer	PROPN
bjmsr-314	241	2	.	.	PUNCT
bjmsr-314	241	3	math	math	PROPN
bjmsr-314	241	4	.	.	PUNCT
bjmsr-314	242	1	soc	soc	PROPN
bjmsr-314	242	2	.	.	PUNCT
bjmsr-314	243	1	,119	,119	PROPN
bjmsr-314	243	2	,	,	PUNCT
bjmsr-314	243	3	101	101	NUM
bjmsr-314	243	4	-	-	SYM
bjmsr-314	243	5	22	22	NUM
bjmsr-314	243	6	.	.	PUNCT
bjmsr-314	244	1	lazarski	lazarski	PROPN
bjmsr-314	244	2	e.	e.	PROPN
bjmsr-314	244	3	(	(	PUNCT
bjmsr-314	244	4	1975a	1975a	NUM
bjmsr-314	244	5	)	)	PUNCT
bjmsr-314	244	6	approximation	approximation	NOUN
bjmsr-314	244	7	of	of	ADP
bjmsr-314	244	8	continuous	continuous	ADJ
bjmsr-314	244	9	functions	function	NOUN
bjmsr-314	244	10	in	in	ADP
bjmsr-314	244	11	the	the	DET
bjmsr-314	244	12	space	space	NOUN
bjmsr-314	244	13	l1	l1	PROPN
bjmsr-314	244	14	.	.	PROPN
bjmsr-314	244	15	automatika	automatika	PROPN
bjmsr-314	244	16	,	,	PUNCT
bjmsr-314	244	17	487	487	NUM
bjmsr-314	244	18	,	,	PUNCT
bjmsr-314	244	19	85	85	NUM
bjmsr-314	244	20	-	-	SYM
bjmsr-314	244	21	93	93	NUM
bjmsr-314	244	22	.	.	PUNCT
bjmsr-314	245	1	lazarski	lazarski	PROPN
bjmsr-314	245	2	e.	e.	PROPN
bjmsr-314	245	3	(	(	PUNCT
bjmsr-314	245	4	1975b	1975b	NUM
bjmsr-314	245	5	)	)	PUNCT
bjmsr-314	245	6	the	the	DET
bjmsr-314	245	7	approximation	approximation	NOUN
bjmsr-314	245	8	of	of	ADP
bjmsr-314	245	9	the	the	DET
bjmsr-314	245	10	continuous	continuous	ADJ
bjmsr-314	245	11	function	function	NOUN
bjmsr-314	245	12	by	by	ADP
bjmsr-314	245	13	the	the	DET
bjmsr-314	245	14	polynomials	polynomial	NOUN
bjmsr-314	245	15	of	of	ADP
bjmsr-314	245	16	power	power	NOUN
bjmsr-314	245	17	functions	function	NOUN
bjmsr-314	245	18	in	in	ADP
bjmsr-314	245	19	l1	l1	PROPN
bjmsr-314	245	20	space	space	NOUN
bjmsr-314	245	21	.	.	PUNCT
bjmsr-314	246	1	automatika	automatika	PROPN
bjmsr-314	246	2	,	,	PUNCT
bjmsr-314	246	3	487	487	NUM
bjmsr-314	246	4	,	,	PUNCT
bjmsr-314	246	5	95	95	NUM
bjmsr-314	246	6	-	-	SYM
bjmsr-314	246	7	106	106	NUM
bjmsr-314	246	8	.	.	PUNCT
bjmsr-314	247	1	lazarski	lazarski	PROPN
bjmsr-314	247	2	e.	e.	PROPN
bjmsr-314	247	3	(	(	PUNCT
bjmsr-314	247	4	1975c	1975c	NUM
bjmsr-314	247	5	)	)	PUNCT
bjmsr-314	247	6	on	on	ADP
bjmsr-314	247	7	the	the	DET
bjmsr-314	247	8	necessary	necessary	ADJ
bjmsr-314	247	9	conditions	condition	NOUN
bjmsr-314	247	10	of	of	ADP
bjmsr-314	247	11	the	the	DET
bjmsr-314	247	12	uniqueness	uniqueness	NOUN
bjmsr-314	247	13	of	of	ADP
bjmsr-314	247	14	approximation	approximation	NOUN
bjmsr-314	247	15	by	by	ADP
bjmsr-314	247	16	the	the	DET
bjmsr-314	247	17	polynomials	polynomial	NOUN
bjmsr-314	247	18	of	of	ADP
bjmsr-314	247	19	power	power	NOUN
bjmsr-314	247	20	functions	function	NOUN
bjmsr-314	247	21	in	in	ADP
bjmsr-314	247	22	http://www.bidabad.com/doc/l1-article2.pdf	http://www.bidabad.com/doc/l1-article2.pdf	ADJ
bjmsr-314	247	23	http://www.bidabad.com/doc/l1-article3.pdf	http://www.bidabad.com/doc/l1-article3.pdf	PROPN
bjmsr-314	247	24	http://www.bidabad.com/doc/l1-article3.pdf	http://www.bidabad.com/doc/l1-article3.pdf	PROPN
bjmsr-314	247	25	http://www.bidabad.com/doc/l1-article4.pdf	http://www.bidabad.com/doc/l1-article4.pdf	PROPN
bjmsr-314	247	26	http://www.bidabad.com/doc/iraninc-l1.pdf	http://www.bidabad.com/doc/iraninc-l1.pdf	PROPN
bjmsr-314	247	27	http://www.uib.es/congres/ecopub/ecineq/general.htm	http://www.uib.es/congres/ecopub/ecineq/general.htm	PRON
bjmsr-314	248	1	http://www.uib.es/congres/ecopub/ecineq/papers/039bidabab.pdf	http://www.uib.es/congres/ecopub/ecineq/papers/039bidabab.pdf	PROPN
bjmsr-314	248	2	http://www.bidabad.com/doc/estimating-lorenz-us.pdf	http://www.bidabad.com/doc/estimating-lorenz-us.pdf	PROPN
bjmsr-314	248	3	http://www.bidabad.com/doc/l1-implied-inequality-index-4.pdf	http://www.bidabad.com/doc/l1-implied-inequality-index-4.pdf	PROPN
bjmsr-314	248	4	http://www.theibfr.com/archive/issn-1941-9589-v3-n2-2008.pdf	http://www.theibfr.com/archive/issn-1941-9589-v3-n2-2008.pdf	PROPN
bjmsr-314	248	5	http://www.bidabad.com/doc/ssrn-id1631861.pdf	http://www.bidabad.com/doc/ssrn-id1631861.pdf	PROPN
bjmsr-314	248	6	https://www.cribfb.com/journal/index.php/amfbr/article/view/286	https://www.cribfb.com/journal/index.php/amfbr/article/view/286	PROPN
bjmsr-314	248	7	http://www.bidabad.com/doc/functional-form-lorenz.pdf	http://www.bidabad.com/doc/functional-form-lorenz.pdf	PROPN
bjmsr-314	248	8	http://www.bidabad.com/doc/functional-form-lorenz.pptx	http://www.bidabad.com/doc/functional-form-lorenz.pptx	VERB
bjmsr-314	248	9	copyright	copyright	NOUN
bjmsr-314	248	10	©	©	PROPN
bjmsr-314	248	11	cc	cc	PROPN
bjmsr-314	248	12	-	-	PUNCT
bjmsr-314	248	13	by	by	ADP
bjmsr-314	248	14	-	-	PUNCT
bjmsr-314	248	15	nc	nc	PROPN
bjmsr-314	248	16	2019	2019	NUM
bjmsr-314	248	17	,	,	PUNCT
bjmsr-314	248	18	bjmsr	bjmsr	PROPN
bjmsr-314	248	19	www.cribfb.com/journal/index.php/bjmsr	www.cribfb.com/journal/index.php/bjmsr	X
bjmsr-314	249	1	bangladesh	bangladesh	PROPN
bjmsr-314	249	2	journal	journal	PROPN
bjmsr-314	249	3	of	of	ADP
bjmsr-314	249	4	multidisciplinary	multidisciplinary	ADJ
bjmsr-314	249	5	scientific	scientific	ADJ
bjmsr-314	249	6	research	research	NOUN
bjmsr-314	249	7	vol	vol	NOUN
bjmsr-314	249	8	.	.	PROPN
bjmsr-314	249	9	1	1	NUM
bjmsr-314	249	10	,	,	PUNCT
bjmsr-314	249	11	no	no	INTJ
bjmsr-314	249	12	.	.	NOUN
bjmsr-314	249	13	1	1	NUM
bjmsr-314	249	14	;	;	PUNCT
bjmsr-314	249	15	2019	2019	NUM
bjmsr-314	249	16	49	49	NUM
bjmsr-314	249	17	l1	l1	PROPN
bjmsr-314	249	18	space	space	NOUN
bjmsr-314	249	19	.	.	PUNCT
bjmsr-314	249	20	automatika	automatika	PROPN
bjmsr-314	249	21	,	,	PUNCT
bjmsr-314	249	22	487	487	NUM
bjmsr-314	249	23	,	,	PUNCT
bjmsr-314	249	24	107	107	NUM
bjmsr-314	249	25	-	-	SYM
bjmsr-314	249	26	117	117	NUM
bjmsr-314	249	27	.	.	PUNCT
bjmsr-314	250	1	lazarski	lazarski	PROPN
bjmsr-314	250	2	e.	e.	PROPN
bjmsr-314	250	3	(	(	PUNCT
bjmsr-314	250	4	1977	1977	NUM
bjmsr-314	250	5	)	)	PUNCT
bjmsr-314	250	6	approximation	approximation	NOUN
bjmsr-314	250	7	of	of	ADP
bjmsr-314	250	8	continuous	continuous	ADJ
bjmsr-314	250	9	functions	function	NOUN
bjmsr-314	250	10	by	by	ADP
bjmsr-314	250	11	exponential	exponential	ADJ
bjmsr-314	250	12	polynomials	polynomial	NOUN
bjmsr-314	250	13	in	in	ADP
bjmsr-314	250	14	the	the	DET
bjmsr-314	250	15	l1	l1	PROPN
bjmsr-314	250	16	space	space	NOUN
bjmsr-314	250	17	.	.	PUNCT
bjmsr-314	251	1	automatika	automatika	PROPN
bjmsr-314	251	2	,	,	PUNCT
bjmsr-314	251	3	598	598	NUM
bjmsr-314	251	4	,	,	PUNCT
bjmsr-314	251	5	8287	8287	NUM
bjmsr-314	251	6	.	.	PUNCT
bjmsr-314	252	1	ptak	ptak	PROPN
bjmsr-314	252	2	v.	v.	PROPN
bjmsr-314	252	3	(	(	PUNCT
bjmsr-314	252	4	1958	1958	NUM
bjmsr-314	252	5	)	)	PUNCT
bjmsr-314	252	6	on	on	ADP
bjmsr-314	252	7	approximation	approximation	NOUN
bjmsr-314	252	8	of	of	ADP
bjmsr-314	252	9	continuous	continuous	ADJ
bjmsr-314	252	10	functions	function	NOUN
bjmsr-314	252	11	in	in	ADP
bjmsr-314	252	12	the	the	DET
bjmsr-314	252	13	metric	metric	ADJ
bjmsr-314	252	14	∫a	∫a	NOUN
bjmsr-314	252	15	b	b	NOUN
bjmsr-314	252	16	│	│	X
bjmsr-314	252	17	x(t)	x(t)	NOUN
bjmsr-314	252	18	│	│	ADJ
bjmsr-314	252	19	dt	dt	X
bjmsr-314	252	20	czechoslovak	czechoslovak	ADJ
bjmsr-314	252	21	math	math	NOUN
bjmsr-314	252	22	.	.	PUNCT
bjmsr-314	253	1	j.	j.	PROPN
bjmsr-314	253	2	8(83	8(83	NUM
bjmsr-314	253	3	)	)	PUNCT
bjmsr-314	253	4	,	,	PUNCT
bjmsr-314	253	5	267	267	NUM
bjmsr-314	253	6	-	-	SYM
bjmsr-314	253	7	273	273	NUM
bjmsr-314	253	8	.	.	PUNCT
bjmsr-314	254	1	rasche	rasche	PROPN
bjmsr-314	254	2	r.h	r.h	PROPN
bjmsr-314	254	3	.	.	PROPN
bjmsr-314	254	4	,	,	PUNCT
bjmsr-314	254	5	j.	j.	PROPN
bjmsr-314	254	6	gaffney	gaffney	PROPN
bjmsr-314	254	7	,	,	PUNCT
bjmsr-314	254	8	a.y.c	a.y.c	PROPN
bjmsr-314	254	9	.	.	PUNCT
bjmsr-314	254	10	koo	koo	PROPN
bjmsr-314	254	11	,	,	PUNCT
bjmsr-314	254	12	n.	n.	PROPN
bjmsr-314	254	13	obst	obst	PROPN
bjmsr-314	254	14	(	(	PUNCT
bjmsr-314	254	15	1980	1980	NUM
bjmsr-314	254	16	)	)	PUNCT
bjmsr-314	254	17	functional	functional	ADJ
bjmsr-314	254	18	forms	form	NOUN
bjmsr-314	254	19	for	for	ADP
bjmsr-314	254	20	estimating	estimate	VERB
bjmsr-314	254	21	the	the	DET
bjmsr-314	254	22	lorenz	lorenz	PROPN
bjmsr-314	254	23	curve	curve	NOUN
bjmsr-314	254	24	.	.	PUNCT
bjmsr-314	255	1	econometrica	econometrica	PROPN
bjmsr-314	255	2	,	,	PUNCT
bjmsr-314	255	3	48	48	NUM
bjmsr-314	255	4	,	,	PUNCT
bjmsr-314	255	5	1061	1061	NUM
bjmsr-314	255	6	-	-	SYM
bjmsr-314	255	7	1062	1062	NUM
bjmsr-314	255	8	.	.	PUNCT
bjmsr-314	256	1	rice	rice	PROPN
bjmsr-314	256	2	j.r	j.r	PROPN
bjmsr-314	256	3	.	.	PROPN
bjmsr-314	256	4	(	(	PUNCT
bjmsr-314	256	5	1964a	1964a	NOUN
bjmsr-314	256	6	)	)	PUNCT
bjmsr-314	256	7	on	on	ADP
bjmsr-314	256	8	computation	computation	NOUN
bjmsr-314	256	9	of	of	ADP
bjmsr-314	256	10	l1	l1	PROPN
bjmsr-314	256	11	approximations	approximation	NOUN
bjmsr-314	256	12	by	by	ADP
bjmsr-314	256	13	exponentials	exponential	NOUN
bjmsr-314	256	14	,	,	PUNCT
bjmsr-314	256	15	rationals	rational	NOUN
bjmsr-314	256	16	,	,	PUNCT
bjmsr-314	256	17	and	and	CCONJ
bjmsr-314	256	18	other	other	ADJ
bjmsr-314	256	19	functions	function	NOUN
bjmsr-314	256	20	.	.	PUNCT
bjmsr-314	257	1	math	math	NOUN
bjmsr-314	257	2	.	.	PUNCT
bjmsr-314	258	1	comp	comp	PROPN
bjmsr-314	258	2	.	.	PUNCT
bjmsr-314	258	3	,	,	PUNCT
bjmsr-314	258	4	18	18	NUM
bjmsr-314	258	5	,	,	PUNCT
bjmsr-314	258	6	390	390	NUM
bjmsr-314	258	7	-	-	SYM
bjmsr-314	258	8	396	396	NUM
bjmsr-314	258	9	.	.	PUNCT
bjmsr-314	259	1	rice	rice	PROPN
bjmsr-314	259	2	j.r	j.r	PROPN
bjmsr-314	259	3	.	.	PROPN
bjmsr-314	259	4	(	(	PUNCT
bjmsr-314	259	5	1964b	1964b	NUM
bjmsr-314	259	6	)	)	PUNCT
bjmsr-314	259	7	on	on	ADP
bjmsr-314	259	8	nonlinear	nonlinear	PROPN
bjmsr-314	259	9	l1	l1	PROPN
bjmsr-314	259	10	approximation	approximation	NOUN
bjmsr-314	259	11	.	.	PUNCT
bjmsr-314	260	1	arch	arch	NOUN
bjmsr-314	260	2	.	.	PUNCT
bjmsr-314	261	1	rational	rational	ADJ
bjmsr-314	261	2	mech	mech	NOUN
bjmsr-314	261	3	.	.	PUNCT
bjmsr-314	262	1	anal	anal	PROPN
bjmsr-314	262	2	.	.	PROPN
bjmsr-314	262	3	,	,	PUNCT
bjmsr-314	262	4	17	17	NUM
bjmsr-314	262	5	61	61	NUM
bjmsr-314	262	6	-	-	SYM
bjmsr-314	262	7	66	66	NUM
bjmsr-314	262	8	.	.	PUNCT
bjmsr-314	263	1	rice	rice	PROPN
bjmsr-314	263	2	j.r	j.r	PROPN
bjmsr-314	263	3	.	.	PROPN
bjmsr-314	263	4	(	(	PUNCT
bjmsr-314	263	5	1964c	1964c	NUM
bjmsr-314	263	6	)	)	PUNCT
bjmsr-314	263	7	the	the	DET
bjmsr-314	263	8	approximation	approximation	NOUN
bjmsr-314	263	9	of	of	ADP
bjmsr-314	263	10	functions	function	NOUN
bjmsr-314	263	11	,	,	PUNCT
bjmsr-314	263	12	vol	vol	NOUN
bjmsr-314	263	13	.	.	PUNCT
bjmsr-314	264	1	i	i	PRON
bjmsr-314	264	2	,	,	PUNCT
bjmsr-314	264	3	linear	linear	PROPN
bjmsr-314	264	4	theory	theory	NOUN
bjmsr-314	264	5	.	.	PUNCT
bjmsr-314	265	1	reading	read	VERB
bjmsr-314	265	2	mass	mass	PROPN
bjmsr-314	265	3	:	:	PUNCT
bjmsr-314	265	4	,	,	PUNCT
bjmsr-314	265	5	addison	addison	PROPN
bjmsr-314	265	6	-	-	PUNCT
bjmsr-314	265	7	wesley	wesley	PROPN
bjmsr-314	265	8	.	.	PUNCT
bjmsr-314	266	1	rice	rice	PROPN
bjmsr-314	266	2	j.r	j.r	PROPN
bjmsr-314	266	3	.	.	PROPN
bjmsr-314	266	4	(	(	PUNCT
bjmsr-314	266	5	1969	1969	NUM
bjmsr-314	266	6	)	)	PUNCT
bjmsr-314	266	7	the	the	DET
bjmsr-314	266	8	approximation	approximation	NOUN
bjmsr-314	266	9	of	of	ADP
bjmsr-314	266	10	functions	function	NOUN
bjmsr-314	266	11	,	,	PUNCT
bjmsr-314	266	12	vol	vol	NOUN
bjmsr-314	266	13	.	.	PUNCT
bjmsr-314	266	14	ii	ii	PROPN
bjmsr-314	266	15	,	,	PUNCT
bjmsr-314	266	16	linear	linear	PROPN
bjmsr-314	266	17	theory	theory	NOUN
bjmsr-314	266	18	.	.	PUNCT
bjmsr-314	267	1	reading	read	VERB
bjmsr-314	267	2	mass	mass	PROPN
bjmsr-314	267	3	:	:	PUNCT
bjmsr-314	267	4	,	,	PUNCT
bjmsr-314	267	5	addison	addison	PROPN
bjmsr-314	267	6	-	-	PUNCT
bjmsr-314	267	7	wesley	wesley	PROPN
bjmsr-314	267	8	.	.	PUNCT
bjmsr-314	268	1	rice	rice	PROPN
bjmsr-314	268	2	j.r	j.r	PROPN
bjmsr-314	268	3	.	.	PROPN
bjmsr-314	268	4	(	(	PUNCT
bjmsr-314	268	5	1985	1985	NUM
bjmsr-314	268	6	)	)	PUNCT
bjmsr-314	268	7	numerical	numerical	ADJ
bjmsr-314	268	8	methods	method	NOUN
bjmsr-314	268	9	,	,	PUNCT
bjmsr-314	268	10	software	software	NOUN
bjmsr-314	268	11	,	,	PUNCT
bjmsr-314	268	12	and	and	CCONJ
bjmsr-314	268	13	analysis	analysis	NOUN
bjmsr-314	268	14	.	.	PUNCT
bjmsr-314	269	1	mcgrawhill	mcgrawhill	NOUN
bjmsr-314	269	2	,	,	PUNCT
bjmsr-314	269	3	ch	ch	NOUN
bjmsr-314	269	4	.	.	PROPN
bjmsr-314	269	5	11	11	NUM
bjmsr-314	269	6	.	.	PUNCT
bjmsr-314	270	1	rice	rice	PROPN
bjmsr-314	270	2	j.r	j.r	PROPN
bjmsr-314	270	3	.	.	PROPN
bjmsr-314	270	4	,	,	PUNCT
bjmsr-314	270	5	j.s	j.s	PROPN
bjmsr-314	270	6	.	.	PROPN
bjmsr-314	270	7	white	white	PROPN
bjmsr-314	270	8	(	(	PUNCT
bjmsr-314	270	9	1964	1964	NUM
bjmsr-314	270	10	)	)	PUNCT
bjmsr-314	270	11	norms	norm	NOUN
bjmsr-314	270	12	for	for	ADP
bjmsr-314	270	13	smoothing	smoothing	NOUN
bjmsr-314	270	14	and	and	CCONJ
bjmsr-314	270	15	estimation	estimation	NOUN
bjmsr-314	270	16	.	.	PUNCT
bjmsr-314	271	1	siam	siam	PROPN
bjmsr-314	271	2	rev	rev	PROPN
bjmsr-314	271	3	.	.	PROPN
bjmsr-314	271	4	,	,	PUNCT
bjmsr-314	271	5	6	6	NUM
bjmsr-314	271	6	,	,	PUNCT
bjmsr-314	271	7	243	243	NUM
bjmsr-314	271	8	-	-	SYM
bjmsr-314	271	9	256	256	NUM
bjmsr-314	271	10	.	.	PUNCT
bjmsr-314	272	1	taguchi	taguchi	PROPN
bjmsr-314	272	2	t.	t.	PROPN
bjmsr-314	272	3	(	(	PUNCT
bjmsr-314	272	4	1972a	1972a	NUM
bjmsr-314	272	5	)	)	PUNCT
bjmsr-314	272	6	on	on	ADP
bjmsr-314	272	7	the	the	DET
bjmsr-314	272	8	two	two	NUM
bjmsr-314	272	9	-	-	PUNCT
bjmsr-314	272	10	dimensional	dimensional	ADJ
bjmsr-314	272	11	concentration	concentration	NOUN
bjmsr-314	272	12	surface	surface	NOUN
bjmsr-314	272	13	and	and	CCONJ
bjmsr-314	272	14	extensions	extension	NOUN
bjmsr-314	272	15	of	of	ADP
bjmsr-314	272	16	concentration	concentration	NOUN
bjmsr-314	272	17	coefficient	coefficient	NOUN
bjmsr-314	272	18	and	and	CCONJ
bjmsr-314	272	19	pareto	pareto	ADJ
bjmsr-314	272	20	distribution	distribution	NOUN
bjmsr-314	272	21	to	to	ADP
bjmsr-314	272	22	the	the	DET
bjmsr-314	272	23	two	two	NUM
bjmsr-314	272	24	dimensional	dimensional	ADJ
bjmsr-314	272	25	case	case	NOUN
bjmsr-314	272	26	-	-	PUNCT
bjmsr-314	272	27	i.	i.	NOUN
bjmsr-314	272	28	annals	annals	NOUN
bjmsr-314	272	29	of	of	ADP
bjmsr-314	272	30	the	the	DET
bjmsr-314	272	31	inst	inst	NOUN
bjmsr-314	272	32	.	.	PUNCT
bjmsr-314	272	33	of	of	ADP
bjmsr-314	272	34	stat	stat	PROPN
bjmsr-314	272	35	.	.	PUNCT
bjmsr-314	273	1	math	math	NOUN
bjmsr-314	273	2	.	.	PUNCT
bjmsr-314	274	1	,	,	PUNCT
bjmsr-314	274	2	vol	vol	NOUN
bjmsr-314	274	3	.	.	PROPN
bjmsr-314	275	1	24	24	NUM
bjmsr-314	275	2	,	,	PUNCT
bjmsr-314	275	3	no.2	no.2	PROPN
bjmsr-314	275	4	,	,	PUNCT
bjmsr-314	275	5	355	355	NUM
bjmsr-314	275	6	-	-	SYM
bjmsr-314	275	7	381	381	NUM
bjmsr-314	275	8	.	.	PUNCT
bjmsr-314	276	1	taguchi	taguchi	PROPN
bjmsr-314	276	2	t.	t.	PROPN
bjmsr-314	276	3	(	(	PUNCT
bjmsr-314	276	4	1972b	1972b	NUM
bjmsr-314	276	5	)	)	PUNCT
bjmsr-314	276	6	on	on	ADP
bjmsr-314	276	7	the	the	DET
bjmsr-314	276	8	two	two	NUM
bjmsr-314	276	9	-	-	PUNCT
bjmsr-314	276	10	dimensional	dimensional	ADJ
bjmsr-314	276	11	concentration	concentration	NOUN
bjmsr-314	276	12	surface	surface	NOUN
bjmsr-314	276	13	and	and	CCONJ
bjmsr-314	276	14	extensions	extension	NOUN
bjmsr-314	276	15	of	of	ADP
bjmsr-314	276	16	concentration	concentration	NOUN
bjmsr-314	276	17	coefficient	coefficient	NOUN
bjmsr-314	276	18	and	and	CCONJ
bjmsr-314	276	19	pareto	pareto	ADJ
bjmsr-314	276	20	distribution	distribution	NOUN
bjmsr-314	276	21	to	to	ADP
bjmsr-314	276	22	the	the	DET
bjmsr-314	276	23	two	two	NUM
bjmsr-314	276	24	dimensional	dimensional	ADJ
bjmsr-314	276	25	case-ii.annals	case-ii.annal	NOUN
bjmsr-314	276	26	of	of	ADP
bjmsr-314	276	27	the	the	DET
bjmsr-314	276	28	inst	inst	NOUN
bjmsr-314	276	29	.	.	PUNCT
bjmsr-314	276	30	of	of	ADP
bjmsr-314	276	31	stat	stat	PROPN
bjmsr-314	276	32	.	.	PUNCT
bjmsr-314	277	1	math	math	NOUN
bjmsr-314	277	2	.	.	PUNCT
bjmsr-314	278	1	,	,	PUNCT
bjmsr-314	278	2	vol	vol	NOUN
bjmsr-314	278	3	.	.	PROPN
bjmsr-314	278	4	24	24	NUM
bjmsr-314	278	5	,	,	PUNCT
bjmsr-314	278	6	no.3	no.3	VERB
bjmsr-314	278	7	,	,	PUNCT
bjmsr-314	278	8	599	599	NUM
bjmsr-314	278	9	-	-	SYM
bjmsr-314	278	10	619	619	NUM
bjmsr-314	278	11	.	.	PUNCT
bjmsr-314	279	1	taguchi	taguchi	PROPN
bjmsr-314	279	2	t.	t.	PROPN
bjmsr-314	279	3	(	(	PUNCT
bjmsr-314	279	4	1972c	1972c	NUM
bjmsr-314	279	5	)	)	PUNCT
bjmsr-314	279	6	concentration	concentration	NOUN
bjmsr-314	279	7	polyhedron	polyhedron	NOUN
bjmsr-314	279	8	,	,	PUNCT
bjmsr-314	279	9	two	two	NUM
bjmsr-314	279	10	dimensional	dimensional	ADJ
bjmsr-314	279	11	concentration	concentration	NOUN
bjmsr-314	279	12	coefficient	coefficient	NOUN
bjmsr-314	279	13	for	for	ADP
bjmsr-314	279	14	discrete	discrete	ADJ
bjmsr-314	279	15	type	type	NOUN
bjmsr-314	279	16	distribution	distribution	NOUN
bjmsr-314	279	17	and	and	CCONJ
bjmsr-314	279	18	some	some	DET
bjmsr-314	279	19	new	new	ADJ
bjmsr-314	279	20	correlation	correlation	NOUN
bjmsr-314	279	21	coefficients	coefficient	NOUN
bjmsr-314	279	22	etc	etc	X
bjmsr-314	279	23	.	.	PUNCT
bjmsr-314	280	1	the	the	DET
bjmsr-314	280	2	inst	inst	NOUN
bjmsr-314	280	3	.	.	PUNCT
bjmsr-314	280	4	of	of	ADP
bjmsr-314	280	5	stat	stat	PROPN
bjmsr-314	280	6	.	.	PUNCT
bjmsr-314	281	1	math	math	NOUN
bjmsr-314	281	2	.	.	PUNCT
bjmsr-314	282	1	,	,	PUNCT
bjmsr-314	282	2	77	77	NUM
bjmsr-314	282	3	-	-	SYM
bjmsr-314	282	4	115	115	NUM
bjmsr-314	282	5	.	.	PUNCT
bjmsr-314	283	1	taguchi	taguchi	PROPN
bjmsr-314	283	2	t.	t.	PROPN
bjmsr-314	283	3	(	(	PUNCT
bjmsr-314	283	4	1973	1973	NUM
bjmsr-314	283	5	)	)	PUNCT
bjmsr-314	283	6	on	on	ADP
bjmsr-314	283	7	the	the	DET
bjmsr-314	283	8	two	two	NUM
bjmsr-314	283	9	-	-	PUNCT
bjmsr-314	283	10	dimensional	dimensional	ADJ
bjmsr-314	283	11	concentration	concentration	NOUN
bjmsr-314	283	12	surface	surface	NOUN
bjmsr-314	283	13	and	and	CCONJ
bjmsr-314	283	14	extensions	extension	NOUN
bjmsr-314	283	15	of	of	ADP
bjmsr-314	283	16	concentration	concentration	NOUN
bjmsr-314	283	17	coefficient	coefficient	NOUN
bjmsr-314	283	18	and	and	CCONJ
bjmsr-314	283	19	pareto	pareto	ADJ
bjmsr-314	283	20	distribution	distribution	NOUN
bjmsr-314	283	21	to	to	ADP
bjmsr-314	283	22	the	the	DET
bjmsr-314	283	23	two	two	NUM
bjmsr-314	283	24	dimensional	dimensional	ADJ
bjmsr-314	283	25	case	case	NOUN
bjmsr-314	283	26	-	-	PUNCT
bjmsr-314	283	27	iii	iii	NOUN
bjmsr-314	283	28	.	.	NOUN
bjmsr-314	283	29	annals	annal	NOUN
bjmsr-314	283	30	of	of	ADP
bjmsr-314	283	31	the	the	DET
bjmsr-314	283	32	inst	inst	NOUN
bjmsr-314	283	33	.	.	PUNCT
bjmsr-314	284	1	of	of	ADP
bjmsr-314	284	2	stat	stat	PROPN
bjmsr-314	284	3	.	.	PUNCT
bjmsr-314	285	1	math	math	NOUN
bjmsr-314	285	2	.	.	PUNCT
bjmsr-314	286	1	,vol	,vol	PROPN
bjmsr-314	286	2	.	.	PUNCT
bjmsr-314	287	1	25,no.1	25,no.1	NUM
bjmsr-314	287	2	,	,	PUNCT
bjmsr-314	287	3	215	215	NUM
bjmsr-314	287	4	-	-	SYM
bjmsr-314	287	5	237	237	NUM
bjmsr-314	287	6	.	.	PUNCT
bjmsr-314	288	1	taguchi	taguchi	PROPN
bjmsr-314	288	2	t.	t.	PROPN
bjmsr-314	288	3	(	(	PUNCT
bjmsr-314	288	4	1974	1974	NUM
bjmsr-314	288	5	)	)	PUNCT
bjmsr-314	288	6	on	on	ADP
bjmsr-314	288	7	fechner	fechner	NOUN
bjmsr-314	288	8	's	's	PART
bjmsr-314	288	9	thesis	thesis	NOUN
bjmsr-314	288	10	and	and	CCONJ
bjmsr-314	288	11	statistics	statistic	NOUN
bjmsr-314	288	12	with	with	ADP
bjmsr-314	288	13	norm	norm	NOUN
bjmsr-314	288	14	p.	p.	PROPN
bjmsr-314	288	15	ann	ann	PROPN
bjmsr-314	288	16	.	.	PROPN
bjmsr-314	289	1	of	of	ADP
bjmsr-314	289	2	the	the	DET
bjmsr-314	289	3	inst	inst	NOUN
bjmsr-314	289	4	.	.	PUNCT
bjmsr-314	290	1	of	of	ADP
bjmsr-314	290	2	stat	stat	PROPN
bjmsr-314	290	3	.	.	PUNCT
bjmsr-314	291	1	math	math	NOUN
bjmsr-314	291	2	.	.	PUNCT
bjmsr-314	292	1	,	,	PUNCT
bjmsr-314	292	2	vol	vol	NOUN
bjmsr-314	292	3	.	.	PROPN
bjmsr-314	292	4	26	26	NUM
bjmsr-314	292	5	,	,	PUNCT
bjmsr-314	292	6	no.2	no.2	PROPN
bjmsr-314	292	7	,	,	PUNCT
bjmsr-314	292	8	175	175	NUM
bjmsr-314	292	9	-	-	SYM
bjmsr-314	292	10	193	193	NUM
bjmsr-314	292	11	.	.	PUNCT
bjmsr-314	293	1	taguchi	taguchi	PROPN
bjmsr-314	293	2	t.	t.	PROPN
bjmsr-314	293	3	(	(	PUNCT
bjmsr-314	293	4	1978	1978	NUM
bjmsr-314	293	5	)	)	PUNCT
bjmsr-314	293	6	on	on	ADP
bjmsr-314	293	7	a	a	DET
bjmsr-314	293	8	generalization	generalization	NOUN
bjmsr-314	293	9	of	of	ADP
bjmsr-314	293	10	gaussian	gaussian	ADJ
bjmsr-314	293	11	distribution	distribution	NOUN
bjmsr-314	293	12	.	.	PUNCT
bjmsr-314	294	1	ann	ann	PROPN
bjmsr-314	294	2	.	.	PROPN
bjmsr-314	294	3	of	of	ADP
bjmsr-314	294	4	the	the	DET
bjmsr-314	294	5	inst	inst	NOUN
bjmsr-314	294	6	.	.	PUNCT
bjmsr-314	294	7	of	of	ADP
bjmsr-314	294	8	stat	stat	PROPN
bjmsr-314	294	9	.	.	PUNCT
bjmsr-314	295	1	math	math	NOUN
bjmsr-314	295	2	.	.	PUNCT
bjmsr-314	296	1	,	,	PUNCT
bjmsr-314	296	2	vol	vol	NOUN
bjmsr-314	296	3	.	.	PROPN
bjmsr-314	296	4	30	30	NUM
bjmsr-314	296	5	,	,	PUNCT
bjmsr-314	296	6	no.2	no.2	PROPN
bjmsr-314	296	7	,	,	PUNCT
bjmsr-314	296	8	a	a	PRON
bjmsr-314	296	9	,	,	PUNCT
bjmsr-314	296	10	211	211	NUM
bjmsr-314	296	11	-	-	SYM
bjmsr-314	296	12	242	242	NUM
bjmsr-314	296	13	.	.	PUNCT
bjmsr-314	297	1	taguchi	taguchi	PROPN
bjmsr-314	297	2	t.	t.	PROPN
bjmsr-314	297	3	(	(	PUNCT
bjmsr-314	297	4	1981	1981	NUM
bjmsr-314	297	5	)	)	PUNCT
bjmsr-314	297	6	on	on	ADP
bjmsr-314	297	7	a	a	DET
bjmsr-314	297	8	multiple	multiple	ADJ
bjmsr-314	297	9	gini	gini	NOUN
bjmsr-314	297	10	's	's	PART
bjmsr-314	297	11	coefficient	coefficient	NOUN
bjmsr-314	297	12	and	and	CCONJ
bjmsr-314	297	13	some	some	DET
bjmsr-314	297	14	concentrative	concentrative	ADJ
bjmsr-314	297	15	regressions	regression	NOUN
bjmsr-314	297	16	.	.	PUNCT
bjmsr-314	298	1	metron	metron	PROPN
bjmsr-314	298	2	,	,	PUNCT
bjmsr-314	298	3	vol	vol	NOUN
bjmsr-314	298	4	.	.	PUNCT
bjmsr-314	299	1	xxxix	xxxix	PROPN
bjmsr-314	299	2	n.1	n.1	PROPN
bjmsr-314	299	3	-	-	SYM
bjmsr-314	299	4	2	2	NUM
bjmsr-314	299	5	,	,	PUNCT
bjmsr-314	299	6	5	5	NUM
bjmsr-314	299	7	-	-	SYM
bjmsr-314	299	8	98	98	NUM
bjmsr-314	299	9	.	.	PUNCT
bjmsr-314	300	1	taguchi	taguchi	PROPN
bjmsr-314	300	2	t.	t.	PROPN
bjmsr-314	300	3	(	(	PUNCT
bjmsr-314	300	4	1983	1983	NUM
bjmsr-314	300	5	)	)	PUNCT
bjmsr-314	300	6	concentration	concentration	NOUN
bjmsr-314	300	7	analysis	analysis	NOUN
bjmsr-314	300	8	of	of	ADP
bjmsr-314	300	9	bivariate	bivariate	ADJ
bjmsr-314	300	10	paretoan	paretoan	NOUN
bjmsr-314	300	11	distribution	distribution	NOUN
bjmsr-314	300	12	.	.	PUNCT
bjmsr-314	301	1	proc	proc	NOUN
bjmsr-314	301	2	.	.	PUNCT
bjmsr-314	302	1	of	of	ADP
bjmsr-314	302	2	the	the	DET
bjmsr-314	302	3	inst	inst	NOUN
bjmsr-314	302	4	.	.	PUNCT
bjmsr-314	303	1	of	of	ADP
bjmsr-314	303	2	stat	stat	PROPN
bjmsr-314	303	3	.	.	PUNCT
bjmsr-314	304	1	math	math	NOUN
bjmsr-314	304	2	.	.	PUNCT
bjmsr-314	305	1	,	,	PUNCT
bjmsr-314	305	2	vol	vol	NOUN
bjmsr-314	305	3	.	.	PROPN
bjmsr-314	305	4	31	31	NUM
bjmsr-314	305	5	,	,	PUNCT
bjmsr-314	305	6	no.1	no.1	NUM
bjmsr-314	305	7	,	,	PUNCT
bjmsr-314	305	8	132	132	NUM
bjmsr-314	305	9	.	.	PUNCT
bjmsr-314	306	1	taguchi	taguchi	PROPN
bjmsr-314	306	2	t.	t.	PROPN
bjmsr-314	306	3	(	(	PUNCT
bjmsr-314	306	4	1987	1987	NUM
bjmsr-314	306	5	)	)	PUNCT
bjmsr-314	306	6	on	on	ADP
bjmsr-314	306	7	the	the	DET
bjmsr-314	306	8	structure	structure	NOUN
bjmsr-314	306	9	of	of	ADP
bjmsr-314	306	10	multivariate	multivariate	NOUN
bjmsr-314	306	11	concentration	concentration	NOUN
bjmsr-314	306	12	.	.	PUNCT
bjmsr-314	307	1	submitted	submit	VERB
bjmsr-314	307	2	to	to	ADP
bjmsr-314	307	3	the	the	DET
bjmsr-314	307	4	first	first	ADJ
bjmsr-314	307	5	international	international	ADJ
bjmsr-314	307	6	conference	conference	NOUN
bjmsr-314	307	7	on	on	ADP
bjmsr-314	307	8	statistical	statistical	ADJ
bjmsr-314	307	9	data	datum	NOUN
bjmsr-314	307	10	analysis	analysis	NOUN
bjmsr-314	307	11	based	base	VERB
bjmsr-314	307	12	on	on	ADP
bjmsr-314	307	13	the	the	DET
bjmsr-314	307	14	l1	l1	PROPN
bjmsr-314	307	15	norm	norm	NOUN
bjmsr-314	307	16	and	and	CCONJ
bjmsr-314	307	17	related	related	ADJ
bjmsr-314	307	18	methods	method	NOUN
bjmsr-314	307	19	,	,	PUNCT
bjmsr-314	307	20	neuchatel	neuchatel	NOUN
bjmsr-314	307	21	,	,	PUNCT
bjmsr-314	307	22	switzerland	switzerland	PROPN
bjmsr-314	307	23	.	.	PUNCT
bjmsr-314	308	1	taguchi	taguchi	PROPN
bjmsr-314	308	2	t.	t.	PROPN
bjmsr-314	308	3	(	(	PUNCT
bjmsr-314	308	4	1988	1988	NUM
bjmsr-314	308	5	)	)	PUNCT
bjmsr-314	308	6	on	on	ADP
bjmsr-314	308	7	the	the	DET
bjmsr-314	308	8	structure	structure	NOUN
bjmsr-314	308	9	of	of	ADP
bjmsr-314	308	10	multivariate	multivariate	NOUN
bjmsr-314	308	11	concentration	concentration	NOUN
bjmsr-314	308	12	some	some	DET
bjmsr-314	308	13	relationships	relationship	NOUN
bjmsr-314	308	14	among	among	ADP
bjmsr-314	308	15	the	the	DET
bjmsr-314	308	16	concentration	concentration	NOUN
bjmsr-314	308	17	surface	surface	NOUN
bjmsr-314	308	18	and	and	CCONJ
bjmsr-314	308	19	two	two	NUM
bjmsr-314	308	20	variate	variate	ADJ
bjmsr-314	308	21	mean	mean	NOUN
bjmsr-314	308	22	difference	difference	NOUN
bjmsr-314	308	23	and	and	CCONJ
bjmsr-314	308	24	regressions	regression	NOUN
bjmsr-314	308	25	.	.	PUNCT
bjmsr-314	309	1	csda	csda	NOUN
bjmsr-314	309	2	,	,	PUNCT
bjmsr-314	309	3	6	6	NUM
bjmsr-314	309	4	,	,	PUNCT
bjmsr-314	309	5	307	307	NUM
bjmsr-314	309	6	-	-	SYM
bjmsr-314	309	7	334	334	NUM
bjmsr-314	309	8	.	.	PUNCT
bjmsr-314	310	1	usow	usow	PROPN
bjmsr-314	310	2	k.h	k.h	PROPN
bjmsr-314	310	3	.	.	PUNCT
bjmsr-314	310	4	(	(	PUNCT
bjmsr-314	310	5	1967a	1967a	NUM
bjmsr-314	310	6	)	)	PUNCT
bjmsr-314	310	7	on	on	ADP
bjmsr-314	310	8	l1	l1	PROPN
bjmsr-314	310	9	approximation	approximation	NOUN
bjmsr-314	310	10	:	:	PUNCT
bjmsr-314	310	11	computation	computation	NOUN
bjmsr-314	310	12	for	for	ADP
bjmsr-314	310	13	continuous	continuous	ADJ
bjmsr-314	310	14	functions	function	NOUN
bjmsr-314	310	15	and	and	CCONJ
bjmsr-314	310	16	continuous	continuous	ADJ
bjmsr-314	310	17	dependence	dependence	NOUN
bjmsr-314	310	18	.	.	PUNCT
bjmsr-314	311	1	siam	siam	PROPN
bjmsr-314	311	2	j.	j.	PROPN
bjmsr-314	311	3	of	of	ADP
bjmsr-314	311	4	numer	numer	PROPN
bjmsr-314	311	5	.	.	PUNCT
bjmsr-314	312	1	anal	anal	PROPN
bjmsr-314	312	2	.	.	PROPN
bjmsr-314	312	3	,	,	PUNCT
bjmsr-314	312	4	4	4	NUM
bjmsr-314	312	5	,	,	PUNCT
bjmsr-314	312	6	70	70	NUM
bjmsr-314	312	7	-	-	SYM
bjmsr-314	312	8	88	88	NUM
bjmsr-314	312	9	.	.	PUNCT
bjmsr-314	313	1	watson	watson	PROPN
bjmsr-314	313	2	g.a	g.a	PROPN
bjmsr-314	313	3	.	.	PROPN
bjmsr-314	313	4	(	(	PUNCT
bjmsr-314	313	5	1981	1981	NUM
bjmsr-314	313	6	)	)	PUNCT
bjmsr-314	313	7	an	an	DET
bjmsr-314	313	8	algorithm	algorithm	NOUN
bjmsr-314	313	9	for	for	ADP
bjmsr-314	313	10	linear	linear	PROPN
bjmsr-314	313	11	l1	l1	PROPN
bjmsr-314	313	12	approximation	approximation	NOUN
bjmsr-314	313	13	of	of	ADP
bjmsr-314	313	14	continuous	continuous	ADJ
bjmsr-314	313	15	functions	function	NOUN
bjmsr-314	313	16	.	.	PUNCT
bjmsr-314	314	1	i	i	PRON
bjmsr-314	314	2	m	m	VERB
bjmsr-314	315	1	a	a	PROPN
bjmsr-314	315	2	j.	j.	PROPN
bjmsr-314	315	3	num	num	PROPN
bjmsr-314	315	4	.	.	PROPN
bjmsr-314	315	5	anal	anal	PROPN
bjmsr-314	315	6	.	.	PROPN
bjmsr-314	315	7	,	,	PUNCT
bjmsr-314	315	8	1	1	NUM
bjmsr-314	315	9	,	,	PUNCT
bjmsr-314	315	10	157	157	NUM
bjmsr-314	315	11	-	-	SYM
bjmsr-314	315	12	167	167	NUM
bjmsr-314	315	13	.	.	PUNCT
bjmsr-314	316	1	copyrights	copyright	NOUN
bjmsr-314	316	2	copyright	copyright	NOUN
bjmsr-314	316	3	for	for	ADP
bjmsr-314	316	4	this	this	DET
bjmsr-314	316	5	article	article	NOUN
bjmsr-314	316	6	is	be	AUX
bjmsr-314	316	7	retained	retain	VERB
bjmsr-314	316	8	by	by	ADP
bjmsr-314	316	9	the	the	DET
bjmsr-314	316	10	author(s	author(s	PROPN
bjmsr-314	316	11	)	)	PUNCT
bjmsr-314	316	12	,	,	PUNCT
bjmsr-314	316	13	with	with	ADP
bjmsr-314	316	14	first	first	ADJ
bjmsr-314	316	15	publication	publication	NOUN
bjmsr-314	316	16	rights	right	NOUN
bjmsr-314	316	17	granted	grant	VERB
bjmsr-314	316	18	to	to	ADP
bjmsr-314	316	19	the	the	DET
bjmsr-314	316	20	journal	journal	NOUN
bjmsr-314	316	21	.	.	PUNCT
bjmsr-314	317	1	this	this	PRON
bjmsr-314	317	2	is	be	AUX
bjmsr-314	317	3	an	an	DET
bjmsr-314	317	4	open	open	ADJ
bjmsr-314	317	5	-	-	PUNCT
bjmsr-314	317	6	access	access	NOUN
bjmsr-314	317	7	article	article	NOUN
bjmsr-314	317	8	distributed	distribute	VERB
bjmsr-314	317	9	under	under	ADP
bjmsr-314	317	10	the	the	DET
bjmsr-314	317	11	terms	term	NOUN
bjmsr-314	317	12	and	and	CCONJ
bjmsr-314	317	13	conditions	condition	NOUN
bjmsr-314	317	14	of	of	ADP
bjmsr-314	317	15	the	the	DET
bjmsr-314	317	16	creative	creative	ADJ
bjmsr-314	317	17	commons	common	NOUN
bjmsr-314	317	18	attribution	attribution	NOUN
bjmsr-314	317	19	license	license	NOUN
bjmsr-314	317	20	(	(	PUNCT
bjmsr-314	317	21	http://creativecommons.org/licenses/by/4.0/	http://creativecommons.org/licenses/by/4.0/	PROPN
bjmsr-314	317	22	)	)	PUNCT
bjmsr-314	317	23	.	.	PUNCT