# New functional forms of Lorenz curves by maximizing Tsallis entropy of income share function under the constraint on generalized Gini index

*A. Khosravi Tanak*,
*G.R. Mohtashami Borzadaran* and
*Jafar Ahmadi*

*Physica A: Statistical Mechanics and its Applications*, 2018, vol. 511, issue C, 280-288

**Abstract:**
The Lorenz curve is one of the most powerful tools in the analysis of the size distribution of income and wealth. In the past decades, many authors have proposed different functional forms for estimating Lorenz curves using a variety of approaches. In this paper, new functional forms are derived by maximizing Tsallis entropy of income share function subject to a given generalized Gini index. The obtained Lorenz curves are fitted to the income data sets of three Asian countries in 1988 and their relative performances with respect to some well-known parametric models of Lorenz curves are compared using two types of goodness of fit measures.

**Keywords:** Share function; Lorenz curve; Tsallis entropy; Maximum entropy; Generalized Gini index (search for similar items in EconPapers)

**Date:** 2018

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**Persistent link:** https://EconPapers.repec.org/RePEc:eee:phsmap:v:511:y:2018:i:c:p:280-288

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