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.
Hassan, M. (2008). An Income Inequality Measure Based on the Symmetric Properties of both the Income Distribution and the Lorenz Curve. The Egyptian Statistical Journal, 52(2), 96-106. doi: 10.21608/esju.2008.315422
MLA
Mohamed Yusuf Hassan. "An Income Inequality Measure Based on the Symmetric Properties of both the Income Distribution and the Lorenz Curve", The Egyptian Statistical Journal, 52, 2, 2008, 96-106. doi: 10.21608/esju.2008.315422
HARVARD
Hassan, M. (2008). 'An Income Inequality Measure Based on the Symmetric Properties of both the Income Distribution and the Lorenz Curve', The Egyptian Statistical Journal, 52(2), pp. 96-106. doi: 10.21608/esju.2008.315422
VANCOUVER
Hassan, M. An Income Inequality Measure Based on the Symmetric Properties of both the Income Distribution and the Lorenz Curve. The Egyptian Statistical Journal, 2008; 52(2): 96-106. doi: 10.21608/esju.2008.315422
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