A Comparison Between Lorenz L(P) Curve and Zenga I(P) Curve

Abstract

Zenga has defined a new inequality curve I(p) and a new inequality index I. The purpose of this article is to compare Zenga’s I(p) curve and the well-known Lorenz L(p) curve, remarking the differences and the similarities existing between these evaluation tools of inequality. The comparison is performed by an analysis of the features of the two curves. The analytical expressions of the two curves for some classical distribution models used in inequality analysis are also provided, focusing on the role of the distribution parameters as inequality indicators.