On the estimation of the Lorenz curve under complex sampling designs

Pier Luigi Conti (), Alberto Iorio (), Alessio Guandalini (), Daniela Marella, Paola Vicard () and Vincenzina Vitale ()
Additional contact information
Pier Luigi Conti: Sapienza Università di Roma
Alberto Iorio: Banca D’Italia
Alessio Guandalini: ISTAT
Paola Vicard: Università Roma Tre
Vincenzina Vitale: Sapienza Università di Roma

Statistical Methods & Applications, 2020, vol. 29, issue 1, No 1, 24 pages

Abstract: 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) 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.

Keywords: Concentration; Resampling; Bootstrap; Finite population; Superpopulation (search for similar items in EconPapers)
Date: 2020
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
http://link.springer.com/10.1007/s10260-019-00478-6 Abstract (text/html)
Access to the full text of the articles in this series is restricted.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:stmapp:v:29:y:2020:i:1:d:10.1007_s10260-019-00478-6

Ordering information: This journal article can be ordered from
http://www.springer. ... cs/journal/10260/PS2

DOI: 10.1007/s10260-019-00478-6

Access Statistics for this article

Statistical Methods & Applications is currently edited by Tommaso Proietti

More articles in Statistical Methods & Applications from Springer, Società Italiana di Statistica
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().