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, Page 96-106 PDF (3.42 MB) | ||||
| Document Type: Original Article | ||||
| DOI: 10.21608/esju.2008.315422 | ||||
 View on SCiNiTO | ||||
| Author | ||||
| Mohamed Yusuf Hassan* | ||||
| Department of Statistics, United Arab Emirates University, Al-AIN, United Arab Emirates. | ||||
| 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; De Cateljau's algorithm | ||||
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