On the estimation of the Lorenz curve under complex sampling designs

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 stu...

Full description

Saved in:
Bibliographic Details
Published inarXiv.org
Main Authors Conti, Pier Luigi, Alberto Di Iorio, Guandalini, Alessio, Marella, Daniela, Vicard, Paola, Vitale, Vincenzina
Format Paper
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 09.12.2018
Subjects
Asymptotic properties
Confidence intervals
Economic models
Lorenz Curve
Resampling
Sampling designs
Online AccessGet full text

Cover

More Information
Summary: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.
ISSN:2331-8422