This paper introduces a simple method for estimating the Lorenz curve using three indicators: the Gini index and the income shares of the bottom and top populations. The method calculates parameters for a specified functional form (a weighted average of an exponential function and a Pareto distribution) with a closed-form expression for the Gini index. The approach avoids error minimization techniques. Data from four countries with varying income inequality levels from the UNU-WIID database illustrate the method's effectiveness, showing that the estimated Lorenz curves closely fit actual observations. The method is particularly useful with limited income distribution data.

Thitithep Sitthiyot, Kanyarat Holasut