Maximum Second Order Entropy Lorenz Curve

In this work, we derive a family of maximum second order entropy distributions providedthat the mean and the Gini index are known as the optional side conditions. Then via thesedistributions, families of Lorenz curves are obtained which are compatible with the optionalside conditions. Also some results are derived via maximization of the Second order entropyin view of income distributions.

Keywords:

Gini Index , Lorenz Curve , Maximum Entropy , Income Inequality