Decomposition by sources, by subpopulations and joint decomposition by subpopulations and sources of Gini, Bonferroni and Zenga 2007 inequality indexes - Igor Valli, Michele Zenga - Vita e Pensiero - Articolo Statistica & Applicazioni

Decomposition by sources, by subpopulations and joint decomposition by subpopulations and sources of Gini, Bonferroni and Zenga 2007 inequality indexes

digital Decomposition by sources, by subpopulations and joint
decomposition by subpopulations and sources of Gini, Bonferroni
and Zenga 2007 inequality indexes
Article
Journal STATISTICA & APPLICAZIONI
Issue STATISTICA & APPLICAZIONI - 2021 - 1
Title Decomposition by sources, by subpopulations and joint decomposition by subpopulations and sources of Gini, Bonferroni and Zenga 2007 inequality indexes
Authors ,
Publisher Vita e Pensiero
Format Article | Pdf
Online da 12-2021
Doi 10.26350/999999_000043
Issn 1824-6672 (print) | 2283-6659 (digital)
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Recently, the authors have illustrated the decompositions by subpopulations of the Gini (1914), Bonferroni (1930) and Zenga (2007) inequality measures. These decompositions were illustrated by a numerical example involving non-overlapping subpopulations and by a numerical example involving overlapping subpopulations. In the present paper we illustrate the decomposition by sources, the decomposition by subpopulations and the joint decomposition by  subpopulations and sources of the three cited indexes. These decompositions are applied to data from the 2014 central bank of Italy sample survey on household income and wealth and are performed using the R package ineqJD.

keywords

Gini Index, Bonferroni Index, Zenga Index, Decompositions of Inequality Indexes, IneqJD

Authors biography

Igor Valli: igor.valli@gmail.com. Michele zenga: Dipartimento di Statistica e Metodi Quantitativi - Universita` Milano-Bicocca - Piazza dell’Ateneo Nuovo, 1 - 20126 MILANO (e-mail: michele.zenga@unimib.it).