Autori
Conti, Pier Luigi
Vicard, Paola
Guandalini, Alessio
Vitale, Vincenzina
Marella, Daniela
Di Iorio, Alberto

Titolo
On the estimation of the Lorenz curve under complex sampling designs
Periodico
Statistical methods & applications : Journal of the Italian Statistical Society
Anno: 2020 - Volume: 29 - Fascicolo: 1 - Pagina iniziale: 1 - Pagina finale: 24

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) Hájek 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



SICI: 1618-2510(2020)29:1<1:OTEOTL>2.0.ZU;2-U

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