Title : ( Maximum Tsallis entropy with generalized Gini and Gini mean difference indices constraints )
Authors: Ali Khosravi Tanak , Gholam Reza Mohtashami Borzadaran , Jafar Ahmadi ,
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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
@article{paperid:1061236,
author = {Khosravi Tanak, Ali and Mohtashami Borzadaran, Gholam Reza and Ahmadi, Jafar},
title = {Maximum Tsallis entropy with generalized Gini and Gini mean difference indices constraints},
journal = {Physica A: Statistical Mechanics and its Applications},
year = {2016},
volume = {471},
month = {February},
issn = {0378-4371},
pages = {554--560},
numpages = {6},
keywords = {Tsallis entropy; Maximum entropy; Generalized Gini index; Gini mean difference; Euler’s equation; Generalized Pareto distribution},
}
%0 Journal Article
%T Maximum Tsallis entropy with generalized Gini and Gini mean difference indices constraints
%A Khosravi Tanak, Ali
%A Mohtashami Borzadaran, Gholam Reza
%A Ahmadi, Jafar
%J Physica A: Statistical Mechanics and its Applications
%@ 0378-4371
%D 2016
