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315422

An Income Inequality Measure Based on the Symmetric Properties of both the Income Distribution and the Lorenz Curve

Article

Last updated: 05 Jan 2025

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Abstract

In this paper, a new measure of   Income Inequality is proposed. The measure is based on the  Symmetric Properties of both the Income Distribution and the Lorenz Curve. De Cateljau's algorithm is employed to study the shape of the generalized Lorenz Curve. The  Properties measure is sensitive to changes in the extremes of the income distribution. Legendre transforms and Newton-Raphson method are used to develop the new  measure of   inequality.

DOI

10.21608/esju.2008.315422

Keywords

Bezier Curve, generalized Lorenz Curve, Bernstein Polynomials, Legendre transforms, Newton-Raphson method, Gini inbox, Skewness Cofficiient, De Cateljau's algorithm

Volume

52

Article Issue

2

Related Issue

33788

Issue Date

2008-12-01

Receive Date

2023-08-31

Publish Date

2008-12-01

Page Start

96

Page End

106

Print ISSN

0542-1748

Online ISSN

2786-0086

Article File

ESJU_Volume 52_Issue 2_Pages 96-106.pdf

PDF . 3.6MB

Link

https://esju.journals.ekb.eg/article_315422.html

Detail API

https://esju.journals.ekb.eg/service?article_code=315422

Order

3

Type

Original Article

Type Code

1,914

Publication Type

Journal

Publication Title

The Egyptian Statistical Journal

Publication Link

https://esju.journals.ekb.eg/

MainTitle

An Income Inequality Measure Based on the Symmetric Properties of both the Income Distribution and the Lorenz Curve

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Type

Article

Created At

28 Dec 2024