Fitting the Lorenz curve

A. Tarsitano
The Lorenz curve is a graph relating the cumulative proportion of income receiving units to the cumulative proportions of incomes in the ascending order. Usually the Lorenz curve is derived from the income density function. In this note the curve is studied in the context of fitting equations to data. After discussing the general formalism of a Lorenz curve, a generalization of the Lorenz curve associated with the Pareto model is introduced. The new functional...