An Analysis of Some Properties of Alternative Measures of Income Inequality Based on the Gamma Distribution Function
基于伽马分布的不同收入不平等指标性质分析
The Gini, Theil entropy, and Pietra measures of inequality associated with the gamma distribution function are expressed in terms of the parameters defining the gamma distribution. Method of moments (MME) and maximum likelihood estimators (MLE) of these measures are obtained along with expressions for the asymptotic standard errors of the MLE measures. A table is presented that facilitates the calculation of MLE of inequality measures and the associated asymptotic standard…