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

Name: Decomposition by sources, by subpopulations and joint decomposition by subpopulations and sources of Gini, Bonferroni and Zenga 2007 inequality indexes
Brand: Vita e Pensiero
Availability: OnlineOnly

digital

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

Article

Magazine

STATISTICA & APPLICAZIONI

Section

Open Access

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

Pages

Online from

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).

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