(2008). An Income Inequality Measure Based on the Symmetric Properties of both the Income Distribution and the Lorenz Curve. test, 52(2), 96-106. doi: 10.21608/esju.2008.315422
. "An Income Inequality Measure Based on the Symmetric Properties of both the Income Distribution and the Lorenz Curve". test, 52, 2, 2008, 96-106. doi: 10.21608/esju.2008.315422
(2008). 'An Income Inequality Measure Based on the Symmetric Properties of both the Income Distribution and the Lorenz Curve', test, 52(2), pp. 96-106. doi: 10.21608/esju.2008.315422
An Income Inequality Measure Based on the Symmetric Properties of both the Income Distribution and the Lorenz Curve. test, 2008; 52(2): 96-106. doi: 10.21608/esju.2008.315422

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

The Egyptian Statistical Journal
Article 3, Volume 52, Issue 2, December 2008, Pages 96-106    PDF (3.42 M)
Document Type: Original Article
DOI: 10.21608/esju.2008.315422
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.
Keywords
Bezier Curve; generalized Lorenz Curve; Bernstein Polynomials; Legendre transforms; Newton-Raphson method; Gini inbox; Skewness Cofficiient; De Cateljau's algorithm
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