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Maximum Tsallis entropy with generalized Gini and Gini mean difference indices constraints

A. Khosravi Tanak, G.R. Mohtashami Borzadaran and J. Ahmadi

Physica A: Statistical Mechanics and its Applications, 2017, vol. 471, issue C, 554-560

Abstract: Using the maximum entropy principle with Tsallis entropy, some distribution families for modeling income distribution are obtained. By considering income inequality measures, maximum Tsallis entropy distributions under the constraint on generalized Gini and Gini mean difference indices are derived. It is shown that the Tsallis entropy maximizers with the considered constraints belong to generalized Pareto family.

Keywords: Tsallis entropy; Maximum entropy; Generalized Gini index; Gini mean difference; Euler’s equation; Generalized Pareto distribution (search for similar items in EconPapers)
Date: 2017
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Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis

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