Graphical representations and associated goodness-of-fit tests for Pareto and log-normal distributions based on inequality curves


The Pareto and the Log-normal distributions can be characterised by having constant inequality curves. After providing formal proofs, these results will be exploited to obtain graphical and analytical tools for analysis and goodness-of-fit tests for these distributions. Order-statistics-based estimators of the curves will be presented and discussed. Examples with simulated and real-data will be used to show how the tools presented work in practice.

Journal of Nonparametric Statistics
Flavio Santi
Flavio Santi
Assistant Professor of Economic Statistics

Department of Economics, University of Verona