On the estimation of the Lorenz curve under complex sampling designs
Methodology
2018-12-11 v1
Abstract
This paper focuses on the estimation of the concentration curve of a finite population, when data are collected according to a complex sampling design with different inclusion probabilities. A (design-based) Hajek type estimator for the Lorenz curve is proposed, and its asymptotic properties are studied. Then, a resampling scheme able to approximate the asymptotic law of the Lorenz curve estimator is constructed. Applications are given to the construction of (i) a confidence band for the Lorenz curve, (ii) confidence intervals for the Gini concentration ratio, and (iii) a test for Lorenz dominance. The merits of the proposed resampling procedure are evaluated through a simulation study.
Cite
@article{arxiv.1812.03449,
title = {On the estimation of the Lorenz curve under complex sampling designs},
author = {Pier Luigi Conti and Alberto Di Iorio and Alessio Guandalini and Daniela Marella and Paola Vicard and Vincenzina Vitale},
journal= {arXiv preprint arXiv:1812.03449},
year = {2018}
}