Consistent Nonparametric Tests for Lorenz Dominance

A-Tier
Journal: Journal of Business & Economic Statistics
Year: 2014
Volume: 32
Issue: 1
Pages: 1-13

Score contribution per author:

1.341 = (α=2.01 / 3 authors) × 2.0x A-tier

α: calibrated so average coauthorship-adjusted count equals average raw count

Abstract

This article proposes consistent nonparametric methods for testing the null hypothesis of Lorenz dominance. The methods are based on a class of statistical functionals defined over the difference between the Lorenz curves for two samples of welfare-related variables. We present two specific test statistics belonging to the general class and derive their asymptotic properties. As the limiting distributions of the test statistics are nonstandard, we propose and justify bootstrap methods of inference. We provide methods appropriate for case where the two samples are independent as well as the case where the two samples represent different measures of welfare for one set of individuals. The small sample performance of the two tests is examined and compared in the context of a Monte Carlo study and an empirical analysis of income and consumption inequality.

Technical Details

RePEc Handle
repec:taf:jnlbes:v:32:y:2014:i:1:p:1-13
Journal Field
Econometrics
Author Count
3
Added to Database
2026-01-24