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 $beta$ tends to one. Finally, by using actual data, we compare the maximum Tsallis entropy Lorenz curve with some parametric Lorenz curves.
Yaghoobi Avval Riabi M, Mohtashami Borzadaran G H, Yari G H. Tsallis Maximum Entropy Lorenz Curves. JSRI 2014; 11 (1) :41-56 URL: http://jsri.srtc.ac.ir/article-1-38-en.html