A note on inequality measures for mixtures of double Pareto–lognormal distributions

Abstract

Formulas are derived for the Gini, Theil and Pietra coefficients for a population-weighted mixture of double Pareto–lognormal (dPLN) distributions; they are applied to South America for 2 years. Results are also provided for the special case Pareto–lognormal and lognormal distributions. The formulas are useful for measuring regional or global inequality in large-scale projects that utilise dPLN distributions or their special cases.