Tsallis Maximum Entropy Lorenz Curves | Zendy

M. Yaghoobi Avval Riabi | Zendy; G. H. Mohtashami Borzadaran | Zendy; Gholamhossein Yari | Zendy

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Tsallis Maximum Entropy Lorenz Curves

Author(s) -

M. Yaghoobi Avval Riabi,

G. H. Mohtashami Borzadaran,

Gholamhossein Yari

Publication year - 2014

Publication title -

journal of statistical research of iran

Language(s) - English

Resource type - Journals

ISSN - 1735-1294

DOI - 10.18869/acadpub.jsri.11.1.41

Subject(s) - lorenz curve , mathematics , tsallis entropy , principle of maximum entropy , maximum entropy probability distribution , statistical physics , parametric statistics , entropy (arrow of time) , rényi entropy , statistics , tsallis statistics , mathematical analysis , inequality , gini coefficient , physics , thermodynamics , economic inequality

In this paper, at first we derive a family of maximum Tsallis entropy distributions under optional side conditions on the mean income and the Gini index. Furthermore, corresponding with these distributions a family of Lorenz curves compatible with the optional side conditions is generated. Meanwhile, we show that our results reduce to Shannon entropy as β tends to one. Finally, by using actual data, we compare the maximum Tsallis entropy Lorenz curve with some parametric Lorenz curves.

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