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

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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	Igor Valli, Michele Zenga
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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Description Readers' comments
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). Enter a comment for Decomposition by sources, by subpopulations and joint decomposition by subpopulations and sources of Gini, Bonferroni and Zenga 2007 inequality indexes

Description Readers' comments

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).

Enter a comment for Decomposition by sources, by subpopulations and joint decomposition by subpopulations and sources of Gini, Bonferroni and Zenga 2007 inequality indexes