Estimation of Lorenz Curve and Gini Co-Efficient from Grouped Observations

In the discussions of the size distribution of income reference is frequently made to summary measures of inequality. Many alternative measures of inequality have been proposed from time to time motivated by certain theoretical considerations or, more appropriately, theoretical intuitions. Gini Coefficient is one of the oldest of such measures proposed. All of these measures are reasonable but arbitrary from the point of view of their welfare implications.